Period sequence 0

First few terms: 1, 0, 12, 0, 540, 0, 33600, 0, 2425500, 0
Fano variety: rank 1, B3
Polytopes (PALP, grdb): (231, 518837), (741, 547501)
PF operator: (108 t2 - 1) D3 + 324 (t2) D2 + 312 (t2) D + 96 (t2)
PF degree (N, r): (3,2)
Reduced PF degree (N, r'): (3,2)
PF operator at t=0: (-1) * D3
Symbol of PF operator: 108*t2 - 1
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.0962250448649377?
1/2 0 0
0 0 0
0 0 0
0.0962250448649377?
1/2 0 0
0 0 0
0 0 0
+Infinity
2/3 0 0
0 1/3 0
0 0 0
?

Period sequence 1

First few terms: 1, 0, 24, 0, 2520, 0, 369600, 0, 63063000, 0
Fano variety: rank 1, B2
Polytopes (PALP, grdb): (427, 547520)
PF operator: (16 t - 1) (16 t + 1) D3 + 768 (t2) D2 + 704 (t2) D + 192 (t2)
PF degree (N, r): (3,2)
Reduced PF degree (N, r'): (3,2)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (16*t - 1) * (16*t + 1)
Degree: 16
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.062500000000000000?
1/2 0 0
0 0 0
0 0 0
-0.062500000000000000?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 1/2 0
0 0 1/2
?

Period sequence 2

First few terms: 1, 0, 8, 0, 216, 0, 8000, 0, 343000, 0
Fano variety: rank 1, B4
Polytopes (PALP, grdb): (8, 547367), (91, 544065), (119, 519672), (153, 430103), (197, 255744), (428, 547516), (432, 547285), (433, 547298)
PF operator: (8 t - 1) (8 t + 1) D3 + 192 (t2) D2 + 192 (t2) D + 64 (t2)
PF degree (N, r): (3,2)
Reduced PF degree (N, r'): (3,2)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (8*t - 1) * (8*t + 1)
Degree: 32
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.12500000000000000?
1/2 0 0
0 0 0
0 0 0
-0.12500000000000000?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 1 0
0 0 1
0 0 0
?

Period sequence 3

First few terms: 1, 0, 12, 48, 540, 4320, 42240, 403200, 4038300, 40958400
Fano variety: rank 4, number 1
Polytopes (PALP, grdb): (488, 543412), (577, 516786), (609, 425459), (1190, 507649), (1275, 413301), (1460, 250869), (1502, 674139), (1529, 12645), (1774, 408626), (1986, 534504), (1990, 534507), (2022, 491583), (2040, 491586), (2152, 387007), (2200, 222775), (2257, 234713), (2337, 61130), (2347, 60878), (2354, 1517), (2618, 204551), (2809, 468913), (2960, 195976), (3006, 646162), (3118, 463650), (3256, 160162), (3489, 135822), (3813, 290693)
PF operator: (12 t - 1) (4 t + 1)2 D3 + 6 t (4 t + 1) (36 t + 1) D2 + 2 t (624 t2 + 128 t + 1) D + 96 (6 t + 1) t2
PF degree (N, r): (3,3)
Reduced PF degree (N, r'): (3,3)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (12*t - 1) * (4*t + 1)2
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.0833333333333334?
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000?
0 1 0
0 0 1
0 0 0
+Infinity
1/2 0 0
0 0 0
0 0 0
?

Period sequence 4

First few terms: 1, 0, 0, 12, 0, 0, 540, 0, 0, 33600
Fano variety: rank 1, Q3
Polytopes (PALP, grdb): (1, 547378), (3, 544395)
PF operator: (108 t3 - 1) D3 + 486 (t3) D2 + 702 (t3) D + 324 (t3)
PF degree (N, r): (3,3)
Reduced PF degree (N, r'): (3,3)
PF operator at t=0: (-1) * D3
Symbol of PF operator: 108*t3 - 1
Degree: 54
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.2099868416491456?
1/2 0 0
0 0 0
0 0 0
-0.10499342082457277? - 0.1818539393286203?*I
1/2 0 0
0 0 0
0 0 0
-0.10499342082457277? + 0.1818539393286203?*I
1/2 0 0
0 0 0
0 0 0
+Infinity
1/2 0 0
0 0 0
0 0 0
?

Period sequence 5

First few terms: 1, 0, 152, 3840, 157656, 6428160, 280064960, 12618762240, 584579486680, 27660007173120
Fano variety: rank 1, V8
Polytopes (PALP, grdb): (3313, 547429), (4004, 522681), (4166, 264812), (4193, 521215), (4202, 433519), (4204, 433517), (4216, 261645), (4230, 544534), (4237, 520915), (4243, 432471), (4249, 259467), (4250, 259468), (4266, 258004), (4268, 258029), (4274, 520538), (4279, 257048), (4289, 431045), (4297, 520329), (4298, 520332), (4303, 520261), (4312, 547389), (4313, 544405), (4314, 544406)
PF operator: (56 t - 1) (8 t + 1)3 D3 + 48 (t (56 t + 1) (8 t + 1)2) D2 + 16 t (8 t + 1) (2464 t2 + 212 t + 1) D + 64 t2 (2688 t2 + 480 t + 19)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (56*t - 1) * (8*t + 1)3
Degree: 8
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.01785714285714286?
1/2 0 0
0 0 0
0 0 0
-0.12500000000000000?
1/2 1 0
0 1/2 1
0 0 1/2
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 6

First few terms: 1, 0, 4, 0, 60, 0, 1120, 0, 24220, 0
Fano variety: rank 2, number 32
Polytopes (PALP, grdb): (12, 544356), (21, 520158), (103, 544063), (121, 519664), (155, 430096)
PF operator: (4 t2 + 1) (32 t2 - 1) D3 + 12 t2 (64 t2 + 7) D2 + 88 t2 (16 t2 + 1) D + 32 t2 (24 t2 + 1)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (4*t2 + 1) * (32*t2 - 1)
Degree: 48
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.1767766952966369?
1/2 0 0
0 0 0
0 0 0
0.1767766952966369?
1/2 0 0
0 0 0
0 0 0
-0.50000000000000000?*I
1/2 0 0
0 0 0
0 0 0
0.50000000000000000?*I
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 7

First few terms: 1, 0, 48, 600, 13176, 276480, 6259800, 146064240, 3505282200, 85882130880
Fano variety: rank 1, V12
Polytopes (PALP, grdb): (2755, 474429), (2816, 355616), (2816, 355616), (3405, 321303), (3446, 147470), (3446, 147470), (3451, 147467), (3504, 610803), (3504, 610803), (3624, 305807), (3625, 306072), (3666, 129112), (3682, 127896), (3701, 597737), (3730, 544886), (3761, 446913), (3790, 294031), (3790, 294031), (3794, 292940), (3795, 292458), (3843, 585895), (3843, 585895), (3844, 585890), (3844, 585890), (3845, 585897), (3845, 585897), (3847, 585514), (3852, 585548), (3856, 585686), (3867, 29624), (3867, 29624), (3868, 29628), (3873, 5953), (3873, 5953), (3874, 5954), (3874, 5954), (3932, 281846), (3935, 281906), (3936, 281910), (3937, 282088), (3945, 281909), (3961, 98314), (3965, 93823), (3966, 95245), (3980, 574886), (3982, 573895), (3983, 574977), (3984, 574842), (3990, 25067), (4026, 439663), (4042, 274128), (4057, 87167), (4057, 87167), (4058, 86668), (4059, 86880), (4069, 83883), (4074, 566716), (4074, 566716), (4075, 566695), (4075, 566695), (4079, 21153), (4101, 437078), (4103, 436976), (4118, 268997), (4121, 268912), (4123, 268019), (4132, 78482), (4133, 78269), (4143, 558361), (4144, 558688), (4148, 521504), (4168, 264855), (4168, 264855), (4169, 263867), (4178, 72123), (4179, 72493), (4181, 72684), (4181, 72684), (4182, 72202), (4182, 72202), (4183, 72680), (4217, 261497), (4219, 260624), (4240, 520890), (4246, 432558), (4248, 432464), (4253, 259203), (4262, 431807), (4269, 257760), (4271, 257945), (4272, 257862), (4292, 431027), (4293, 430976)
PF operator: (5 t + 1)2 (144 t2 + 24 t - 1) D3 + 3 t (5 t + 1) (1440 t2 + 324 t + 7) D2 + t (39600 t3 + 13260 t2 + 1102 t + 7) D + 24 t2 (900 t2 + 255 t + 16)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (5*t + 1)2 * (144*t2 + 24*t - 1)
Degree: 12
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.2000000000000000?
0 1 0
0 0 1
0 0 0
-0.2011844635310913?
1/2 0 0
0 0 0
0 0 0
0.03451779686442459?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 8

First few terms: 1, 0, 8, 24, 240, 1440, 11960, 89040, 731920, 5913600
Fano variety: ?
Polytopes (PALP, grdb): (122, 519649), (237, 518830), (294, 429082), (463, 543553), (512, 516974), (625, 425410), (699, 61968), (702, 61981), (730, 674688), (732, 674685), (828, 513257), (909, 420832), (917, 420911), (963, 419969), (1094, 674577), (1095, 674598), (1101, 674607), (1102, 674578), (1110, 61963), (1119, 546609), (1132, 539540), (1133, 539453), (1146, 539478), (1183, 507651), (1187, 507587), (1189, 507636), (1227, 506691), (1360, 412197), (1374, 412119), (1388, 246297), (1399, 246050), (1404, 246108), (1435, 251552), (1445, 251086), (1509, 674087), (1517, 61936), (1653, 498796), (1705, 402373), (1722, 402266), (1752, 397711), (1846, 236262), (1872, 669437), (1892, 672913), (1893, 672826), (1914, 671908), (1919, 671936), (1934, 61770), (2038, 491281), (2066, 486941), (2086, 388962), (2105, 388129), (2143, 388557), (2146, 388498), (2164, 385229), (2193, 223127), (2244, 222612), (2253, 231089), (2319, 669046), (2333, 61316), (2414, 482045), (2431, 482353), (2490, 371033), (2521, 370589), (2531, 370638), (2598, 204086), (2674, 662260), (2728, 529927), (2729, 529925), (2783, 473103), (2784, 473149), (2867, 353915), (2870, 353914), (2873, 352836), (2948, 181701), (2955, 181632), (3002, 649478), (3005, 649168), (3116, 464073), (3180, 332292), (3192, 334858), (3339, 526756), (3383, 456760), (3428, 314752), (3609, 451932), (3611, 450146), (3658, 303278), (3746, 524263)
PF operator: (t + 1) (5 t + 1) (16 t2 + 8 t - 1) D3 + 3 t (160 t3 + 204 t2 + 59 t + 1) D2 + t (880 t3 + 884 t2 + 182 t + 1) D + 8 t2 (60 t2 + 51 t + 8)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (t + 1) * (5*t + 1) * (16*t2 + 8*t - 1)
Degree: 28
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.2000000000000000?
1/2 0 0
0 0 0
0 0 0
-1
1/2 0 0
0 0 0
0 0 0
-0.6035533905932738?
1/2 0 0
0 0 0
0 0 0
0.1035533905932738?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 9

First few terms: 1, 0, 78, 1320, 37746, 1051920, 31464780, 971757360, 30859805970, 1000739433120
Fano variety: rank 1, V10
Polytopes (PALP, grdb): (3050, 528558), (3791, 294041), (3902, 442714), (3921, 283511), (3926, 283519), (3927, 282264), (3963, 98325), (3964, 98326), (4006, 522324), (4022, 439394), (4023, 439399), (4031, 438025), (4041, 275510), (4043, 274167), (4055, 86711), (4073, 566718), (4117, 269340), (4130, 78248), (4131, 78175), (4134, 78330), (4142, 560035), (4160, 435180), (4167, 264850), (4180, 72114), (4185, 555254), (4189, 521210), (4190, 521212), (4199, 433689), (4201, 433642), (4205, 433633), (4213, 261697), (4215, 261648), (4218, 260631), (4224, 68371), (4227, 551994), (4244, 432671), (4251, 259464), (4254, 65832), (4257, 520706), (4260, 431891), (4267, 258031), (4280, 257095), (4290, 431005), (4291, 431051), (4294, 544439), (4300, 520319), (4302, 430778), (4306, 430676), (4310, 520191)
PF operator: (6 t + 1)2 (244 t2 + 32 t - 1) D3 + 6 t (6 t + 1) (1464 t2 + 266 t + 5) D2 + 2 t (48312 t3 + 13260 t2 + 904 t + 5) D + 48 t2 (1098 t2 + 255 t + 13)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (6*t + 1)2 * (244*t2 + 32*t - 1)
Degree: 10
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.1666666666666667?
0 0 0
0 1/2 0
0 0 1/2
-0.1572159007172045?
1/2 0 0
0 0 0
0 0 0
0.02606835973359794?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 10

First few terms: 1, 0, 18, 120, 1566, 18360, 237060, 3129840, 42576030, 590756880
Fano variety: rank 1, V18
Polytopes (PALP, grdb): (1558, 537117), (1591, 500518), (1615, 500364), (1694, 402564), (1783, 236732), (1791, 236722), (1826, 236600), (2048, 491706), (2107, 387279), (2115, 388505), (2186, 223100), (2187, 223102), (2188, 223154), (2222, 222475), (2270, 662848), (2288, 662834), (2301, 662832), (2336, 61365), (2468, 372892), (2479, 370754), (2493, 370852), (2499, 370782), (2519, 372147), (2538, 372148), (2564, 205912), (2570, 205938), (2577, 205973), (2594, 204885), (2604, 204865), (2632, 652803), (2645, 652691), (2647, 652669), (2657, 662250), (2679, 57386), (2682, 60038), (2683, 60041), (2690, 59974), (2698, 12465), (2700, 12510), (2702, 1515), (2762, 473300), (2831, 355341), (2839, 353935), (2846, 353942), (2857, 352810), (2897, 186448), (2901, 186252), (2910, 186253), (2920, 186479), (2922, 186663), (2962, 639854), (2979, 639732), (2981, 639027), (2984, 639695), (2988, 639710), (3010, 53085), (3014, 57336), (3019, 57256), (3022, 57226), (3023, 57290), (3024, 57272), (3034, 12193), (3036, 12161), (3037, 1505), (3054, 528551), (3060, 527955), (3098, 464419), (3143, 338018), (3150, 338244), (3154, 335142), (3159, 333359), (3160, 335731), (3179, 335733), (3220, 165806), (3225, 165835), (3229, 165869), (3232, 161596), (3234, 163370), (3236, 161572), (3268, 624171), (3273, 624115), (3275, 624073), (3277, 624451), (3278, 624132), (3280, 624343), (3286, 637790), (3289, 635469), (3290, 630597), (3292, 47445), (3296, 47429), (3298, 52838), (3304, 52997), (3306, 11567), (3307, 11568), (3360, 456303), (3393, 320569), (3394, 320563), (3414, 314193), (3422, 317467), (3455, 144137), (3456, 146567), (3462, 146358), (3465, 146307), (3469, 146566), (3485, 140871), (3495, 140548), (3507, 610446), (3513, 608684), (3515, 608813), (3516, 608627), (3519, 610102), (3521, 606825), (3525, 610103), (3533, 40829), (3540, 45832), (3544, 10527), (3585, 450161), (3587, 449907), (3595, 450327), (3602, 451427), (3604, 450160), (3626, 305770), (3645, 300021), (3670, 125848), (3677, 125176), (3678, 126080), (3680, 126185), (3681, 127686), (3691, 120787), (3692, 120954), (3698, 597560), (3706, 595148), (3712, 592451), (3713, 595151), (3715, 595061), (3716, 595051), (3721, 37682), (3722, 39241), (3763, 446171), (3767, 446903), (3768, 445062), (3769, 444829), (3811, 287942), (3822, 287241), (3828, 108694), (3830, 107924), (3833, 108116), (3838, 103584), (3858, 579032), (3861, 580364), (3865, 580302), (3911, 442307), (3929, 283324), (3939, 282905), (3941, 282805), (3950, 278148), (3954, 281543), (3957, 280321), (3958, 277552), (3968, 96299), (3970, 96497), (3978, 89065), (3986, 568804), (3987, 568869), (4052, 272829), (4067, 86200), (4072, 82865), (4084, 544685), (4095, 521906), (4109, 436777), (4111, 436667), (4113, 436698), (4122, 268454), (4129, 267792), (4141, 77057), (4173, 264169), (4177, 262832), (4241, 520868), (4264, 431504)
PF operator: (3 t + 1)2 (72 t2 + 12 t - 1) D3 + 9 t (3 t + 1) (144 t2 + 42 t + 1) D2 + 3 t (2376 t3 + 1170 t2 + 138 t + 1) D + 36 t2 (108 t2 + 45 t + 4)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (3*t + 1)2 * (72*t2 + 12*t - 1)
Degree: 18
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.3333333333333334?
0 1 0
0 0 1
0 0 0
-0.2276709006307398?
1/2 0 0
0 0 0
0 0 0
0.06100423396407311?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 11

First few terms: 1, 0, 44, 528, 11292, 228000, 4999040, 112654080, 2613620380, 61885803840
Fano variety: rank 2, number 6
Polytopes (PALP, grdb): (2710, 530438), (2816, 355616), (3078, 466014), (3318, 545139), (3330, 526891), (3348, 525745), (3389, 321877), (3415, 317924), (3446, 147470), (3504, 610803), (3572, 452175), (3619, 306960), (3755, 446982), (3759, 446933), (3789, 294043), (3790, 294031), (3843, 585895), (3844, 585890), (3845, 585897), (3856, 585686), (3867, 29624), (3873, 5953), (3874, 5954), (3900, 442762), (3922, 283523), (3932, 281846), (3982, 573895), (4002, 522683), (4003, 522703), (4040, 275527), (4042, 274128), (4057, 87167), (4074, 566716), (4075, 566695), (4116, 269333), (4158, 435216), (4159, 434956), (4168, 264855), (4169, 263867), (4181, 72684), (4182, 72202), (4214, 261714), (4235, 544536), (4240, 520890), (4245, 432661), (4248, 432464), (4259, 431910), (4277, 431397), (4299, 520330)
PF operator: (8 t + 1) (28 t - 1) (4 t + 1)2 D3 + 6 t (4 t + 1) (896 t2 + 172 t + 3) D2 + 2 t (19712 t3 + 6864 t2 + 544 t + 3) D + 32 t2 (672 t2 + 198 t + 11)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (8*t + 1) * (28*t - 1) * (4*t + 1)2
Degree: 12
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.03571428571428572?
1/2 0 0
0 0 0
0 0 0
-0.12500000000000000?
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000?
0 0 0
0 1/2 0
0 0 1/2
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 12

First few terms: 1, 0, 0, 0, 24, 0, 0, 0, 2520, 0
Fano variety: rank 1, P3
Polytopes (PALP, grdb): (0, 547386)
PF operator: (4 t - 1) (4 t + 1) (16 t2 + 1) D3 + 1536 (t4) D2 + 2816 (t4) D + 1536 (t4)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (4*t - 1) * (4*t + 1) * (16*t2 + 1)
Degree: 64
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.25000000000000000?
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000?
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000?*I
1/2 0 0
0 0 0
0 0 0
0.25000000000000000?*I
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 13

First few terms: 1, 0, 14, 72, 882, 8400, 95180, 1060080, 12389650, 146472480
Fano variety: rank 2, number 12
Polytopes (PALP, grdb): (1135, 539569), (1193, 507586), (1280, 413310), (1347, 413085), (1496, 674248), (1545, 537133), (1547, 537113), (1583, 500497), (1683, 402540), (1821, 236574), (1884, 672737), (1887, 672861), (2081, 388954), (2091, 388966), (2151, 388570), (2224, 222624), (2277, 662786), (2278, 662796), (2299, 662797), (2310, 668983), (2327, 61360), (2349, 12608), (2355, 10), (2411, 482428), (2480, 372136), (2539, 359406), (2548, 206001), (2579, 204760), (2643, 652681), (2653, 652715), (2665, 662262), (2681, 60032), (2688, 60031), (2697, 12519), (2721, 529907), (2742, 529800), (2748, 474431), (2761, 473110), (2780, 473340), (2819, 354967), (2820, 355397), (2889, 186748), (2915, 186256), (2954, 181697), (2974, 639652), (2975, 639467), (2995, 649245), (2999, 651604), (3009, 53121), (3028, 56368), (3076, 465966), (3089, 464399), (3133, 338175), (3134, 338158), (3200, 166803), (3253, 163000), (3270, 623294), (3302, 52267), (3336, 526335), (3354, 458626), (3401, 321330), (3420, 314336), (3439, 315731), (3477, 145166), (3494, 134327), (3500, 140258), (3524, 608931), (3539, 45839), (3551, 525020), (3590, 450075), (3603, 450158), (3633, 306075), (3668, 125301), (3704, 592333), (3774, 446837), (3805, 292773), (3860, 580376), (3892, 442983), (3979, 91442), (4014, 522631), (4016, 522644), (4027, 439692), (4176, 262193)
PF operator: (6 t + 1) (14 t - 1) (2 t + 1)2 D3 + 6 t (2 t + 1) (168 t2 + 54 t + 1) D2 + 2 t (1848 t3 + 1196 t2 + 168 t + 1) D + 16 t2 (126 t2 + 69 t + 7)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (6*t + 1) * (14*t - 1) * (2*t + 1)2
Degree: 20
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.07142857142857143?
1/2 0 0
0 0 0
0 0 0
-0.1666666666666667?
1/2 0 0
0 0 0
0 0 0
-0.50000000000000000?
3/4 0 0
0 1/4 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 14

First few terms: 1, 0, 6, 0, 114, 0, 2940, 0, 87570, 0
Fano variety: rank 1, B5
Polytopes (PALP, grdb): (42, 520063), (67, 430442), (220, 543857), (245, 518819)
PF operator: (16 t4 + 44 t2 - 1) D3 + 12 t2 (8 t2 + 11) D2 + 8 t2 (22 t2 + 17) D + 48 t2 (2 t2 + 1)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: 16*t4 + 44*t2 - 1
Degree: 40
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.1501415530003888?
1/2 0 0
0 0 0
0 0 0
0.1501415530003888?
1/2 0 0
0 0 0
0 0 0
-1.665095338392781?*I
1/2 0 0
0 0 0
0 0 0
1.665095338392781?*I
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 15

First few terms: 1, 0, 1944, 215808, 35295192, 5977566720, 1073491139520, 199954313717760, 38302652395770840, 7497487505353251840
Fano variety: rank 1, V4
Polytopes (PALP, grdb): (4311, 547390)
PF operator: (232 t - 1) (24 t + 1)3 D3 + 48 (t (696 t + 5) (24 t + 1)2) D2 + 16 t (24 t + 1) (91872 t2 + 2724 t + 5) D + 5184 t2 (3712 t2 + 224 t + 3)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (232*t - 1) * (24*t + 1)3
Degree: 4
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.004310344827586207?
1/2 0 0
0 0 0
0 0 0
-0.04166666666666667?
3/4 0 0
0 1/2 0
0 0 1/4
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 16

First few terms: 1, 0, 6, 24, 162, 1080, 7620, 55440, 415170, 3166800
Fano variety: ?
Polytopes (PALP, grdb): (92, 544075), (128, 519656), (369, 254882), (420, 62083), (555, 516755), (635, 425353), (736, 674673), (738, 674678), (756, 546977), (776, 541681), (801, 541398), (830, 513201), (973, 420086), (976, 420478), (981, 419971), (1042, 253678), (1062, 253974), (1084, 674626), (1104, 674529), (1234, 506708), (1295, 413098), (1497, 673893), (1507, 674094), (1523, 61915), (1764, 400494), (1766, 400145), (1767, 400227), (1811, 236421), (1851, 236231), (1853, 236555), (1858, 245022), (1913, 672076), (1933, 61769), (2030, 490916), (2175, 385001), (2240, 221492), (2321, 667186), (2442, 481366), (2450, 479732), (2504, 370044), (2528, 372132), (2529, 371259), (2610, 202555), (2797, 472610), (2882, 346002), (3068, 527903), (3176, 331526), (3188, 332295), (3440, 314609), (3787, 446396)
PF operator: (3 t + 1) (9 t - 1) (8 t2 + 4 t + 1) D3 + 3 t (432 t3 + 234 t2 + 43 t + 1) D2 + t (2376 t3 + 1014 t2 + 134 t + 1) D + 12 t2 (108 t2 + 39 t + 4)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (3*t + 1) * (9*t - 1) * (8*t2 + 4*t + 1)
Degree: 30
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.11111111111111111?
1/2 0 0
0 0 0
0 0 0
-0.3333333333333334?
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000? - 0.25000000000000000?*I
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000? + 0.25000000000000000?*I
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 17

First few terms: 1, 0, 12, 60, 636, 5760, 58620, 604800, 6447420, 70022400
Fano variety: rank 1, V22
Polytopes (PALP, grdb): (838, 513271), (929, 420909), (1021, 251679), (1027, 251680), (1140, 539490), (1271, 413299), (1312, 413150), (1427, 246241), (1481, 674247), (1483, 674241), (1603, 500036), (1699, 402281), (1715, 402297), (1721, 402434), (1785, 236692), (1815, 236477), (1854, 236595), (1879, 669463), (1885, 672886), (1886, 672906), (1888, 672877), (1897, 672700), (1898, 672887), (1900, 672881), (1928, 61779), (1929, 61780), (1936, 61803), (1941, 12639), (1942, 125), (2114, 388599), (2120, 387405), (2180, 223147), (2211, 222629), (2213, 222761), (2227, 222574), (2228, 222533), (2234, 222478), (2247, 222531), (2272, 662846), (2273, 662772), (2283, 662809), (2287, 662764), (2308, 668938), (2329, 61322), (2334, 61355), (2348, 12613), (2350, 12611), (2372, 531930), (2458, 372905), (2466, 372746), (2494, 370851), (2502, 370599), (2522, 370618), (2584, 202565), (2591, 202512), (2596, 204789), (2599, 203231), (2617, 204738), (2642, 652718), (2654, 662248), (2656, 660114), (2660, 662294), (2661, 662301), (2663, 662177), (2664, 660113), (2691, 60018), (2693, 59484), (2695, 59329), (2696, 12518), (2701, 12361), (2760, 472027), (2825, 354996), (2841, 353944), (2843, 353483), (2851, 352703), (2905, 186059), (2913, 186612), (2916, 186255), (2919, 186187), (2932, 181709), (2933, 181894), (2935, 181758), (2936, 181988), (2952, 181692), (2973, 639032), (2991, 638807), (2998, 651804), (3003, 651573), (3015, 56731), (3016, 57186), (3017, 57061), (3021, 57254), (3029, 56365), (3093, 464170), (3127, 337772), (3148, 337640), (3156, 333577), (3224, 165968), (3235, 163475), (3237, 161994), (3239, 160242), (3246, 163474), (3247, 161995), (3248, 161991), (3249, 163471), (3254, 160747), (3269, 622927), (3271, 624138), (3283, 624083), (3284, 624143), (3301, 51708), (3305, 50760), (3362, 456388), (3364, 456230), (3365, 456769), (3370, 456302), (3380, 456300), (3419, 315934), (3430, 315935), (3431, 314507), (3458, 144273), (3482, 140624), (3487, 136237), (3492, 140571), (3493, 140188), (3498, 140567), (3499, 140594), (3526, 619055), (3588, 451905), (3629, 305845), (3655, 300039), (3656, 301802), (3687, 125281), (3694, 116207), (3714, 592519), (3771, 446183), (3818, 291701), (3819, 287964), (3840, 100388), (3842, 100550), (3909, 442425), (3917, 442338), (3959, 277791), (4036, 438626), (4053, 271678), (4054, 272813), (4128, 266401), (4154, 521439)
PF operator: (4 t + 1) (76 t3 + 56 t2 + 8 t - 1) D3 + 6 t (304 t3 + 225 t2 + 44 t + 1) D2 + 2 t (1672 t3 + 975 t2 + 136 t + 1) D + 12 t2 (152 t2 + 75 t + 8)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (4*t + 1) * (76*t3 + 56*t2 + 8*t - 1)
Degree: 22
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.25000000000000000?
1/2 0 0
0 0 0
0 0 0
0.07795750820745475?
1/2 0 0
0 0 0
0 0 0
-0.4073998067353063? - 0.05299342337817160?*I
1/2 0 0
0 0 0
0 0 0
-0.4073998067353063? + 0.05299342337817160?*I
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 18

First few terms: 1, 0, 32, 312, 5520, 91680, 1651640, 30604560, 583436560, 11352768000
Fano variety: rank 1, V14
Polytopes (PALP, grdb): (2365, 532085), (2400, 483089), (2463, 372785), (2471, 372935), (2552, 206003), (2752, 474446), (2764, 473336), (2823, 355511), (2965, 639875), (3055, 527980), (3081, 465958), (3129, 338179), (3201, 166804), (3213, 165796), (3215, 166501), (3218, 166517), (3228, 166494), (3265, 625365), (3267, 625031), (3282, 625034), (3297, 47449), (3334, 526350), (3350, 458642), (3396, 321233), (3398, 321301), (3399, 321302), (3447, 147436), (3460, 146429), (3470, 146472), (3505, 610621), (3508, 610744), (3510, 610784), (3529, 41168), (3534, 41131), (3535, 41126), (3536, 41127), (3542, 9094), (3543, 9098), (3558, 524993), (3573, 452201), (3586, 449943), (3623, 306022), (3628, 305762), (3632, 306089), (3635, 306132), (3636, 306131), (3639, 299475), (3665, 129152), (3669, 125267), (3674, 127678), (3675, 127722), (3697, 597527), (3700, 597556), (3703, 597738), (3711, 596349), (3717, 34551), (3718, 34356), (3723, 7560), (3764, 445117), (3765, 445154), (3793, 292448), (3798, 292446), (3799, 292443), (3823, 112305), (3824, 112517), (3831, 108038), (3836, 110185), (3846, 585232), (3848, 585544), (3851, 585519), (3854, 585566), (3855, 584997), (3866, 29610), (3869, 28871), (3870, 28930), (3875, 5946), (3886, 523387), (3890, 442981), (3895, 442754), (3899, 442953), (3924, 283515), (3928, 282712), (3930, 282243), (3931, 281904), (3934, 282251), (3943, 282871), (3946, 283322), (3962, 98196), (3967, 93948), (3969, 94721), (3972, 93843), (3975, 94624), (3976, 95280), (3981, 574884), (3985, 574262), (3991, 24223), (4008, 522622), (4033, 438004), (4045, 274849), (4048, 273916), (4056, 86778), (4060, 87169), (4061, 82704), (4065, 85225), (4068, 86228), (4076, 564955), (4077, 565284), (4078, 565273), (4097, 521909), (4110, 435745), (4119, 269275), (4125, 268804), (4126, 269009), (4135, 77741), (4137, 76994), (4138, 77044), (4139, 75065), (4165, 434943), (4170, 264166), (4172, 264772), (4184, 69823), (4191, 521209), (4197, 521161), (4200, 433641), (4206, 433730), (4208, 433608), (4220, 261600), (4222, 261134), (4223, 261536), (4225, 67721), (4239, 520906), (4252, 259188), (4261, 431894), (4270, 257604)
PF operator: (5 t + 1) (23 t - 1) (4 t + 1)2 D3 + 3 t (4 t + 1) (23 t + 5) (40 t + 1) D2 + t (20240 t3 + 7852 t2 + 742 t + 5) D + 8 t2 (1380 t2 + 453 t + 32)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (5*t + 1) * (23*t - 1) * (4*t + 1)2
Degree: 14
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.04347826086956522?
1/2 0 0
0 0 0
0 0 0
-0.2000000000000000?
1/2 0 0
0 0 0
0 0 0
-0.25000000000000000?
2/3 0 0
0 1/3 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 19

First few terms: 1, 0, 396, 17616, 1217052, 85220640, 6349812480, 490029523200, 38883641777820, 3152020367254080
Fano variety: rank 1, V6
Polytopes (PALP, grdb): (4281, 547396), (4283, 544447), (4285, 520428), (4286, 520416), (4296, 520331), (4309, 520190), (4317, 547387)
PF operator: (96 t - 1) (12 t + 1)3 D3 + 18 (t (384 t + 5) (12 t + 1)2) D2 + 6 t (12 t + 1) (25344 t2 + 1476 t + 5) D + 288 t2 (3456 t2 + 414 t + 11)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (96*t - 1) * (12*t + 1)3
Degree: 6
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.010416666666666667?
1/2 0 0
0 0 0
0 0 0
-0.0833333333333334?
2/3 0 0
0 1/2 0
0 0 1/3
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 20

First few terms: 1, 0, 24, 192, 2904, 40320, 611520, 9515520, 152412120, 2491104000
Fano variety: rank 1, V16
Polytopes (PALP, grdb): (1953, 546004), (2009, 492045), (2023, 491381), (2092, 388964), (2196, 223136), (2290, 662829), (2413, 482431), (2436, 482420), (2481, 372120), (2497, 372105), (2649, 652773), (2723, 529956), (2772, 473102), (2887, 186783), (2890, 186772), (2893, 186627), (2895, 186614), (2896, 186640), (2898, 186626), (2902, 186306), (2966, 639881), (2968, 639889), (2986, 639750), (2987, 639688), (2989, 639751), (3007, 53123), (3011, 53112), (3012, 53111), (3025, 57234), (3026, 57359), (3031, 11582), (3033, 12197), (3111, 464458), (3128, 338106), (3130, 338225), (3131, 338235), (3161, 335117), (3208, 166302), (3209, 165850), (3226, 166025), (3276, 624084), (3279, 624186), (3293, 47436), (3295, 47424), (3299, 52868), (3308, 11546), (3309, 11569), (3311, 1454), (3338, 526791), (3356, 458619), (3372, 455988), (3373, 456763), (3374, 456807), (3375, 456805), (3395, 321327), (3400, 321353), (3408, 321054), (3454, 145662), (3461, 145189), (3463, 146791), (3472, 146294), (3476, 146798), (3511, 610605), (3512, 610156), (3514, 608808), (3517, 608909), (3518, 608870), (3528, 41156), (3530, 40830), (3531, 40767), (3532, 41052), (3537, 41139), (3541, 9091), (3545, 10501), (3600, 450189), (3601, 449940), (3613, 449941), (3641, 299999), (3647, 301745), (3663, 129141), (3673, 126173), (3684, 126035), (3685, 125153), (3686, 125313), (3699, 597548), (3702, 597551), (3708, 595052), (3709, 595268), (3710, 595226), (3719, 34364), (3720, 40408), (3724, 1223), (3741, 524265), (3758, 446950), (3782, 445152), (3796, 293345), (3797, 292762), (3801, 292681), (3802, 292451), (3815, 288486), (3827, 112423), (3829, 108209), (3832, 109121), (3835, 111932), (3850, 585038), (3853, 584967), (3857, 579004), (3859, 580257), (3863, 582522), (3864, 582645), (3871, 28869), (3872, 28187), (3903, 443014), (3913, 442583), (3933, 283208), (3938, 281831), (3944, 282143), (3953, 278160), (3971, 94626), (3974, 93844), (3988, 569725), (3989, 568994), (3992, 23122), (3997, 544752), (4015, 522325), (4044, 275383), (4049, 272798), (4062, 82771), (4064, 85219), (4066, 85150), (4071, 86196), (4108, 436835), (4120, 268442), (4136, 76930), (4145, 555757), (4149, 521466), (4151, 521506), (4162, 435181), (4163, 434689), (4164, 434819), (4171, 264649), (4174, 264553), (4226, 67006), (4263, 431653), (4301, 520292)
PF operator: (4 t + 1)2 (64 t2 + 16 t - 1) D3 + 12 t (4 t + 1) (128 t2 + 40 t + 1) D2 + 4 t (2816 t3 + 1248 t2 + 136 t + 1) D + 192 (4 t + 1) (8 t + 1) t2
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (4*t + 1)2 * (64*t2 + 16*t - 1)
Degree: 16
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
-0.25000000000000000?
0 1 0
0 0 1
0 0 0
-0.3017766952966369?
1/2 0 0
0 0 0
0 0 0
0.05177669529663688?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 21

First few terms: 1, 0, 6, 0, 90, 0, 1860, 0, 44730, 0
Fano variety: rank 3, number 27
Polytopes (PALP, grdb): (17, 544342), (30, 520140), (121, 519664), (155, 430096)
PF operator: (2 t - 1) (2 t + 1) (6 t - 1) (6 t + 1) D3 + 24 t2 (36 t2 - 5) D2 + 16 t2 (99 t2 - 8) D + 48 t2 (18 t2 - 1)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: D3
Symbol of PF operator: (2*t - 1) * (2*t + 1) * (6*t - 1) * (6*t + 1)
Degree: 48
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.50000000000000000?
1/2 0 0
0 0 0
0 0 0
0.1666666666666667?
1/2 0 0
0 0 0
0 0 0
-0.1666666666666667?
1/2 0 0
0 0 0
0 0 0
-0.50000000000000000?
1/2 0 0
0 0 0
0 0 0
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 22

First few terms: 1, 0, 54, 672, 15642, 336960, 7919460, 191177280, 4751272890, 120527514240
Fano variety: rank 3, number 1
Polytopes (PALP, grdb): (2816, 355616), (3328, 545072), (3349, 525553), (3392, 321879), (3446, 147470), (3504, 610803), (3739, 524375), (3790, 294031), (3794, 292940), (3843, 585895), (3844, 585890), (3845, 585897), (3867, 29624), (3873, 5953), (3874, 5954), (3966, 95245), (4026, 439663), (4057, 87167), (4074, 566716), (4075, 566695), (4168, 264855), (4181, 72684), (4182, 72202), (4240, 520890), (4248, 432464)
PF operator: (2 t + 1) (30 t - 1) (6 t + 1)2 D3 + 24 t (6 t + 1) (90 t2 + 39 t + 1) D2 + 8 t (2970 t3 + 1404 t2 + 144 t + 1) D + 432 t2 (30 t2 + 12 t + 1)
PF degree (N, r): (3,4)
Reduced PF degree (N, r'): (3,4)
PF operator at t=0: (-1) * D3
Symbol of PF operator: (2*t + 1) * (30*t - 1) * (6*t + 1)2
Degree: 12
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0
0 0 1
0 0 0
0.03333333333333334?
1/2 0 0
0 0 0
0 0 0
-0.50000000000000000?
1/2 0 0
0 0 0
0 0 0
-0.1666666666666667?
0 0 0
0 1/2 0
0 0 1/2
+Infinity
0 0 0
0 0 0
0 0 0
?

Period sequence 23

First few terms: 1, 0, 18, 84, 1446, 12960, 186840, 2126880, 29469510, 373971360
Fano variety: ?
Polytopes (PALP, grdb): (1585, 500520), (2008, 492025), (2452, 372986), (2815, 355617), (3079, 465930), (3080, 465994), (3388, 321878), (3756, 446949)
PF operator: (10 t + 1) (2 t + 1)2 (118 t2 + 55 t - 4) (972 t2 + 1588 t - 9) D4 + 2 (2 t + 1) (11469600 t6 + 28349360 t5 + 15395264 t4 + 1895288 t3 - 19934 t2 + 4791 t - 9) D3 + t (160574400 t6 + 451010240 t5 + 322290672 t4 + 76937952 t3 + 4276436 t2 - 52164 t - 179) D2 + 4 t (57348000 t6 + 154720000 t5 + 92847696 t4 + 16761384 t3 + 484678 t2 - 9378 t - 9) D + 48 t2 (2293920 t5 + 6031792 t4 + 3164196 t3 + 450864 t2 + 5463 t - 162)
PF degree (N, r): (4,7)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (18) * (2*D - 1) * D3
Symbol of PF operator: (10*t + 1) * (2*t + 1)2 * (118*t2 + 55*t - 4) * (972*t2 + 1588*t - 9)
Degree: 18
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0
0 0 1 0
0 0 0 1
0 0 0 0
-0.10000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.5300542187944925?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0639525238792383?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.639392836763152?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.005647980796073816?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 24

First few terms: 1, 0, 20, 96, 1428, 14160, 179120, 2157120, 27682900, 356868960
Fano variety: ?
Polytopes (PALP, grdb): (486, 543405), (1176, 539052), (1216, 507648), (1250, 506814), (1286, 413305), (1292, 413261), (1963, 546005), (2026, 490442), (2097, 388876), (2101, 388943), (2737, 530243), (2776, 473967), (2777, 472341), (2791, 472855), (2818, 355607), (2819, 354967), (3329, 526889)
PF operator: (11 t - 4) (4 t + 1)2 (112 t2 + 8 t - 1) (3600 t2 + 752 t - 5) D4 + 2 (4 t + 1) (88704000 t6 + 12030208 t5 - 5138688 t4 - 777152 t3 - 6052 t2 - 2221 t + 5) D3 + t (2483712000 t6 + 902672384 t5 - 4039936 t4 - 27204352 t3 - 1822320 t2 + 27840 t + 149) D2 + 2 t (1774080000 t6 + 618002432 t5 + 12902144 t4 - 11162496 t3 - 467120 t2 + 10720 t + 15) D + 192 t2 (8870400 t5 + 3007360 t4 + 94912 t3 - 39240 t2 - 830 t + 25)
PF degree (N, r): (4,7)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (-10) * (2*D - 1) * D3
Symbol of PF operator: (11*t - 4) * (4*t + 1)2 * (112*t2 + 8*t - 1) * (3600*t2 + 752*t - 5)
Degree: 20
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0
0 0 1 0
0 0 0 1
0 0 0 0
0.3636363636363636?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
2/3 0 0 0
0 1/3 0 0
0 0 0 0
0 0 0 0
-0.1367295401695068?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.06530096874093536?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2153386772259446?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.006449788337055654?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 25

First few terms: 1, 0, 10, 24, 366, 1800, 20620, 137760, 1415470, 11079600
Fano variety: ?
Polytopes (PALP, grdb): (235, 518832), (462, 543573), (515, 516967), (522, 516968), (605, 425466), (785, 541661), (823, 513288), (1188, 507627), (1270, 413296), (1532, 546372), (1543, 537089), (1549, 536890), (1550, 537123), (1688, 402548), (2087, 388967), (2401, 483090), (2419, 482425), (2551, 206002), (2766, 473062), (3108, 464417), (3149, 338160), (3560, 525022)
PF operator: (2 t + 1)2 (780 t2 + 1644 t - 13) (44 t3 + 316 t2 + 11 t - 4) D4 + 2 (2 t + 1) (343200 t6 + 2730096 t5 + 4976928 t4 + 968808 t3 - 20318 t2 + 5023 t - 13) D3 + t (4804800 t6 + 34327104 t5 + 67568528 t4 + 27749088 t3 + 2212372 t2 - 35932 t - 129) D2 + 2 t (3432000 t6 + 21460992 t5 + 38212368 t4 + 12271824 t3 + 536924 t2 - 13260 t - 13) D + 480 t2 (6864 t5 + 39144 t4 + 64176 t3 + 16982 t2 + 341 t - 13)
PF degree (N, r): (4,7)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (26) * (2*D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (780*t2 + 1644*t - 13) * (44*t3 + 316*t2 + 11*t - 4)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0
0 0 1 0
0 0 0 1
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-2.115570403660106?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.007878095967797624?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-7.145048189100822?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1326713821162686?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.09590138939890853?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 26

First few terms: 1, 0, 26, 216, 3582, 54480, 874700, 15000720, 256965310, 4576672800
Fano variety: rank 2, number 8
Polytopes (PALP, grdb): (1968, 545881), (2453, 372990), (2549, 206005), (2886, 186785), (2961, 639892), (3125, 338525), (3136, 338256), (3261, 625382), (3262, 625383), (3350, 458642), (3445, 147462), (3503, 610802), (3667, 129150), (3696, 597806), (3826, 112528), (3925, 283518), (4008, 522622)
PF operator: (636 t - 7) (2 t + 1)3 (2168 t3 + 292 t2 + 2 t - 1) D4 + (2 t + 1)2 (27576960 t5 + 10035472 t4 + 436464 t3 - 10888 t2 + 1300 t - 7) D3 + 4 t (2 t + 1) (48259680 t5 + 32737256 t4 + 5003716 t3 + 49944 t2 - 3790 t - 5) D2 + 8 t2 (68942400 t5 + 72539896 t4 + 22672936 t3 + 1834102 t2 - 19127 t - 1078) D + 16 t2 (16546176 t5 + 16120104 t4 + 4347256 t3 + 225536 t2 - 5701 t - 91)
PF degree (N, r): (4,7)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (7) * (D - 1) * D3
Symbol of PF operator: (636*t - 7) * (2*t + 1)3 * (2168*t3 + 292*t2 + 2*t - 1)
Degree: 14
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.01100628930817610?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 0 0 0
0 1/2 0 0
0 0 1/2 0
0 0 0 1/2
0.04781000041482475?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.09124817363914669? - 0.03635148513735847?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.09124817363914669? + 0.03635148513735847?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 27

First few terms: 1, 0, 68, 960, 28116, 689040, 19724720, 558102720, 16587590740, 498352696800
Fano variety: ?
Polytopes (PALP, grdb): (3878, 523456)
PF operator: (4 t + 1)3 (2412 t2 + 75 t - 4) (5040 t2 + 1752 t - 5) D4 + 2 (4 t + 1)2 (243129600 t5 + 113833728 t4 + 9137952 t3 - 27456 t2 + 5161 t - 5) D3 + t (4 t + 1) (6807628800 t5 + 4108748544 t4 + 633824640 t3 + 20350560 t2 - 132164 t - 349) D2 + 2 t (19450368000 t6 + 15085467648 t5 + 3665090304 t4 + 302009856 t3 + 4207280 t2 - 47640 t - 35) D + 192 t2 (97251840 t5 + 70744320 t4 + 15171552 t3 + 990096 t2 + 5252 t - 85)
PF degree (N, r): (4,7)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (10) * (2*D - 1) * D3
Symbol of PF operator: (4*t + 1)3 * (2412*t2 + 75*t - 4) * (5040*t2 + 1752*t - 5)
Degree: 10
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0
0 0 1 0
0 0 0 1
0 0 0 0
-0.25000000000000000?
0 0 0 0
0 1/2 1 0
0 0 1/2 1
0 0 0 1/2
-0.05913731071859467?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02804278335541059?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3504498761046801?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.002830828485632453?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 28

First few terms: 1, 0, 4, 24, 60, 720, 3640, 21840, 175420, 1024800
Fano variety: rank 2, number 25
Polytopes (PALP, grdb): (175, 430077), (198, 255743), (250, 518658), (383, 254881), (409, 61986), (519, 516943), (548, 516715), (626, 425359), (684, 254010), (878, 512841), (1026, 251647), (1338, 413231), (1431, 246112), (1473, 672934), (1625, 499868), (1644, 500326), (1841, 236296), (2156, 388153), (2796, 473037)
PF operator: (8 t - 1) (t + 1)2 (32 t2 + 8 t + 1) (112 t3 + 164 t2 + 65 t - 2) D4 + 2 (t + 1) (107520 t7 + 237568 t6 + 191040 t5 + 55600 t4 + 1342 t3 + 53 t2 + 68 t - 1) D3 + t (573440 t7 + 1707776 t6 + 1952064 t5 + 1003216 t4 + 189504 t3 - 3185 t2 - 452 t - 1) D2 + 32 t2 (20160 t6 + 57368 t5 + 62030 t4 + 28947 t3 + 4195 t2 - 209 t - 9) D + 16 t2 (16128 t6 + 44704 t5 + 46776 t4 + 20356 t3 + 2110 t2 - 185 t - 4)
PF degree (N, r): (4,8)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (2) * (D - 1) * D3
Symbol of PF operator: (8*t - 1) * (t + 1)2 * (32*t2 + 8*t + 1) * (112*t3 + 164*t2 + 65*t - 2)
Degree: 32
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.12500000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
-0.12500000000000000? - 0.12500000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.12500000000000000? + 0.12500000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02865671255960069?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.7464712134226575? - 0.2567502529357801?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.7464712134226575? + 0.2567502529357801?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 29

First few terms: 1, 0, 8, 12, 216, 720, 8540, 42000, 410200, 2503200
Fano variety: rank 2, number 23
Polytopes (PALP, grdb): (39, 544231), (265, 518647), (299, 429081), (303, 429058), (371, 254878), (410, 61987), (559, 516571), (689, 254015), (764, 546751), (805, 541365), (806, 541058), (856, 513273), (926, 420892), (932, 420899), (1035, 251645), (1164, 539009), (1228, 505533), (1340, 413143), (1412, 246228), (1474, 672933), (1580, 535749), (1624, 500308), (1844, 236253), (1848, 236548), (2122, 388247), (2159, 388451), (2781, 472391)
PF operator: (t + 1)2 (364 t3 + 72 t2 - 4 t - 1) (19292 t3 + 7371 t2 + 338 t - 15) D4 + (t + 1) (52667160 t7 + 54329002 t6 + 17622878 t5 + 1863680 t4 + 107333 t3 + 16771 t2 + 811 t - 15) D3 + 2 t (70222880 t7 + 117945009 t6 + 64153908 t5 + 13635661 t4 + 728868 t3 - 25392 t2 - 3196 t - 4) D2 + 4 t2 (39500370 t6 + 57611645 t5 + 26444418 t4 + 4273360 t3 + 48252 t2 - 18341 t - 1020) D + 8 t2 (7900074 t6 + 10429510 t5 + 4209842 t4 + 500201 t3 - 20222 t2 - 3583 t - 120)
PF degree (N, r): (4,8)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (15) * (D - 1) * D3
Symbol of PF operator: (t + 1)2 * (364*t3 + 72*t2 - 4*t - 1) * (19292*t3 + 7371*t2 + 338*t - 15)
Degree: 30
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
0.11328234582515028?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1555422718136741? - 0.007614298528587310?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1555422718136741? + 0.007614298528587310?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3196566592705859?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.08957378284037775?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02715497041285038?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 30

First few terms: 1, 0, 2, 0, 30, 0, 380, 0, 5950, 0
Fano variety: rank 2, number 35
Polytopes (PALP, grdb): (5, 544391), (41, 520061)
PF operator: (650 t2 - 7) (1600 t6 + 272 t4 + 8 t2 - 1) D4 + 2 (5720000 t8 + 457600 t6 - 5016 t4 + 1216 t2 - 7) D3 + 16 t2 (2665000 t6 + 87050 t4 - 4151 t2 - 19) D2 + 16 t2 (3965000 t6 + 18600 t4 - 5838 t2 - 7) D + 1920 t4 (16250 t4 - 180 t2 - 21)
PF degree (N, r): (4,8)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (7) * (D - 2) * D3
Symbol of PF operator: (650*t2 - 7) * (1600*t6 + 272*t4 + 8*t2 - 1)
Degree: 56
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.10377490433255416?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.10377490433255416?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2088956506779949?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2088956506779949?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.0801819201941330? - 0.3365231593250452?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.0801819201941330? + 0.3365231593250452?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0801819201941330? - 0.3365231593250452?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0801819201941330? + 0.3365231593250452?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 31

First few terms: 1, 0, 20, 132, 1812, 21720, 289100, 3927840, 54999700, 785606640
Fano variety: rank 3, number 3
Polytopes (PALP, grdb): (1306, 413232), (1691, 402539), (1725, 402427), (1791, 236722), (1804, 236599), (1832, 236598), (2002, 533765), (2069, 489480), (2119, 388519), (2269, 662845), (2298, 662833), (2300, 662770), (2376, 532084), (2524, 372151), (2564, 205912), (2565, 205541), (2578, 205968), (2593, 202609), (2601, 204893), (2637, 652771), (2677, 658964), (2679, 57386), (2690, 59974), (2762, 473300), (2802, 473257), (2824, 355442), (2940, 184644), (2963, 639872), (2969, 639834), (3000, 651861), (3019, 57256), (3023, 57290), (3036, 12161), (3037, 1505), (3140, 337773), (3143, 338018), (3165, 333526), (3177, 335683), (3204, 164775), (3266, 625241), (3275, 624073), (3277, 624451), (3278, 624132), (3280, 624343), (3292, 47445), (3307, 11568), (3341, 526344), (3409, 321331), (3444, 308463), (3448, 147317), (3455, 144137), (3459, 145359), (3466, 145002), (3516, 608627), (3533, 40829), (3574, 452184), (3678, 126080), (3683, 126503), (3706, 595148), (3712, 592451), (3721, 37682), (3722, 39241), (3767, 446903), (3828, 108694), (3834, 111798), (3894, 443054), (3947, 283006), (3968, 96299), (3970, 96497), (3986, 568804)
PF operator: (4 t + 1)2 (368 t3 + 128 t2 + 8 t - 1) (37720 t4 + 26772 t3 + 6462 t2 + 499 t - 9) D4 + (4 t + 1) (416428800 t8 + 466236864 t7 + 210108128 t6 + 47244304 t5 + 5246576 t4 + 245984 t3 + 8914 t2 + 1034 t - 9) D3 + t (4441907200 t8 + 5554744352 t7 + 2868423472 t6 + 769707960 t5 + 108748884 t4 + 6667872 t3 - 19240 t2 - 12938 t - 31) D2 + 4 t2 (1249286400 t7 + 1470893976 t6 + 707433908 t5 + 172229186 t4 + 20726391 t3 + 852536 t2 - 31144 t - 1908) D + 8 t2 (249857280 t7 + 283034504 t6 + 129869132 t5 + 29429110 t4 + 3066173 t3 + 67496 t2 - 7709 t - 180)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (9) * (D - 1) * D3
Symbol of PF operator: (4*t + 1)2 * (368*t3 + 128*t2 + 8*t - 1) * (37720*t4 + 26772*t3 + 6462*t2 + 499*t - 9)
Degree: 18
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
3/4 0 0 0
0 1/4 0 0
0 0 0 0
0 0 0 0
0.05925383425921973?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2035399606078708? - 0.06657072218703059?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2035399606078708? + 0.06657072218703059?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2609706241587306?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.014956103213376753?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2318707883078109? - 0.0858302486686015?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2318707883078109? + 0.0858302486686015?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 32

First few terms: 1, 0, 10, 24, 318, 1680, 16300, 115920, 1040830, 8403360
Fano variety: rank 4, number 2
Polytopes (PALP, grdb): (108, 544035), (152, 519315), (512, 516974), (602, 515147), (663, 425399), (683, 426420), (727, 254351), (734, 674679), (821, 540271), (1132, 539540), (1178, 537416), (1267, 503423), (1268, 502589), (1388, 246297), (1399, 246050), (1459, 251332), (1517, 61936), (1657, 498815), (1975, 545862), (2086, 388962), (2131, 386440), (2193, 223127), (2333, 61316), (2395, 531279), (2414, 482045), (2431, 482353), (3002, 649478), (3339, 526756)
PF operator: (2 t - 1) (10 t - 1) (2 t + 1)2 (6 t + 1)2 (4016 t3 + 1780 t2 + 232 t - 7) D4 + (2 t + 1) (6 t + 1) (9638400 t7 + 3735360 t6 - 469504 t5 - 431216 t4 - 58624 t3 + 76 t2 - 520 t + 7) D3 + 8 t (50601600 t8 + 48923040 t7 + 15161984 t6 + 405056 t5 - 735952 t4 - 121914 t3 - 242 t2 + 484 t + 1) D2 + 8 t2 (72288000 t7 + 65594400 t6 + 21124224 t5 + 1768912 t4 - 438316 t3 - 63386 t2 + 2961 t + 308) D + 16 t2 (17349120 t7 + 15105888 t6 + 4922752 t5 + 508904 t4 - 51772 t3 - 5460 t2 + 827 t + 35)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-7) * (D - 1) * D3
Symbol of PF operator: (2*t - 1) * (10*t - 1) * (2*t + 1)2 * (6*t + 1)2 * (4016*t3 + 1780*t2 + 232*t - 7)
Degree: 28
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.10000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1666666666666667?
3/4 0 0 0
0 1/4 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.02507529966152297?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2341511956474946? - 0.1211815360257792?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2341511956474946? + 0.1211815360257792?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 33

First few terms: 1, 0, 0, 18, 24, 0, 1350, 3780, 2520, 141120
Fano variety: rank 2, number 28
Polytopes (PALP, grdb): (33, 544228), (54, 520050), (68, 430441)
PF operator: (t + 1)2 (19329 t3 - 14936 t2 + 6717 t - 280) (473 t4 - 192 t3 + 6 t2 - 4 t + 1) D4 + 2 (t + 1) (45713085 t8 - 25345033 t7 + 319465 t6 + 11866646 t5 - 3646336 t4 + 106938 t3 + 22124 t2 - 6297 t + 140) D3 + t (319991595 t8 + 56683174 t7 - 128443030 t6 + 120919668 t5 + 26961530 t4 - 14086364 t3 + 794208 t2 + 1678 t + 77) D2 + 2 t2 (228565425 t7 - 1231568 t6 - 64348179 t5 + 95048412 t4 + 6599036 t3 - 5782416 t2 + 386832 t + 640) D + 12 t3 (18285234 t6 - 2159962 t5 - 3671343 t4 + 7799388 t3 - 49561 t2 - 278958 t + 22680)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-280) * (D - 1) * D3
Symbol of PF operator: (t + 1)2 * (19329*t3 - 14936*t2 + 6717*t - 280) * (473*t4 - 192*t3 + 6*t2 - 4*t + 1)
Degree: 40
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
0.04613564763510653?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.3632946367339497? - 0.4266195783579058?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.3632946367339497? + 0.4266195783579058?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1640697755254119?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.3936074006984022?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.07587875724509937? - 0.1642559828500188?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.07587875724509937? + 0.1642559828500188?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 34

First few terms: 1, 0, 66, 816, 20214, 449640, 11050500, 278336520, 7229175030, 191680807920
Fano variety: rank 2, number 5
Polytopes (PALP, grdb): (3451, 147467), (3452, 146786), (3735, 544855), (3761, 446913), (3776, 444999)
PF operator: (6 t + 1)2 (7 t + 1)2 (333 t2 - 42 t + 1) (76674 t3 + 22009 t2 + 1771 t - 20) D4 + 2 (6 t + 1) (7 t + 1) (5361812820 t7 + 2092201488 t6 + 250257699 t5 + 889797 t4 - 1148116 t3 - 7403 t2 - 1591 t + 10) D3 + t (1576372969080 t8 + 1012683498372 t7 + 256248076590 t6 + 30006810255 t5 + 1278571479 t4 - 22692156 t3 - 1132028 t2 + 84265 t + 175) D2 + 6 t2 (375326897400 t7 + 226487232972 t6 + 53852824602 t5 + 5851000217 t4 + 230581573 t3 - 2012208 t2 - 28238 t + 8960) D + 24 t2 (45039227688 t7 + 26094283488 t6 + 5938334544 t5 + 606146790 t4 + 21755680 t3 - 96751 t2 + 7075 t + 440)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-20) * (D - 1) * D3
Symbol of PF operator: (6*t + 1)2 * (7*t + 1)2 * (333*t2 - 42*t + 1) * (76674*t3 + 22009*t2 + 1771*t - 20)
Degree: 12
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.1428571428571429?
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
-0.1666666666666667?
2/3 0 0 0
0 1/3 0 0
0 0 0 0
0 0 0 0
0.03185494040416437?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0942711857219618?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.01000556143009048?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1485260089279988? - 0.0633244623397835?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1485260089279988? + 0.0633244623397835?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 35

First few terms: 1, 0, 12, 36, 564, 3600, 41700, 360360, 3839220, 37749600
Fano variety: rank 2, number 15
Polytopes (PALP, grdb): (910, 420831), (1273, 413307), (1385, 246296), (1572, 535491), (1598, 500361), (1697, 402552), (1870, 669490), (2185, 223128), (2271, 662847), (2556, 205601), (2559, 205721), (2574, 205920), (2834, 355498), (3127, 337772)
PF operator: (t + 1)2 (3300 t3 + 4936 t2 + 1067 t - 44) (688 t4 + 816 t3 + 120 t2 - 4 t - 1) D4 + (t + 1) (22704000 t8 + 68903648 t7 + 72133056 t6 + 30634656 t5 + 4751352 t4 + 38342 t3 + 4872 t2 + 3421 t - 88) D3 + t (79464000 t8 + 283906688 t7 + 374627984 t6 + 224146632 t5 + 58691292 t4 + 4229442 t3 - 510693 t2 - 20591 t + 88) D2 + 2 t (56760000 t8 + 184955024 t7 + 215357072 t6 + 108939036 t5 + 21823860 t4 + 219828 t3 - 309459 t2 - 3443 t + 22) D + 48 t3 (1135200 t6 + 3478780 t5 + 3698272 t4 + 1639065 t3 + 255184 t2 - 13244 t - 4455)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (44) * (D - 2) * D3
Symbol of PF operator: (t + 1)2 * (3300*t3 + 4936*t2 + 1067*t - 44) * (688*t4 + 816*t3 + 120*t2 - 4*t - 1)
Degree: 22
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1.222305814063631?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3087791032652094?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03532734157126385?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.008863566714334?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0831769456395408?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1301799452765568? - 0.01934707202012859?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1301799452765568? + 0.01934707202012859?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 36

First few terms: 1, 0, 10, 48, 438, 3720, 33940, 320040, 3096310, 30581040
Fano variety: rank 3, number 7
Polytopes (PALP, grdb): (262, 518727), (629, 425411), (958, 420501), (1024, 251677), (1046, 253997), (1054, 253914), (1074, 253994), (1235, 506661), (1236, 506616), (1246, 506617), (1302, 413050), (1320, 413110), (1373, 411823), (1394, 246053), (1416, 246242), (1447, 251470), (1460, 250869), (1461, 251485), (1521, 61945), (1525, 61930), (1528, 12648), (1659, 498690), (1717, 401296), (1771, 400378), (1812, 236242), (1878, 669466), (1891, 672641), (1911, 672298), (1918, 672371), (1921, 670863), (1924, 61810), (1932, 61797), (2020, 491237), (2068, 488671), (2084, 388931), (2118, 387296), (2147, 388435), (2149, 388568), (2152, 387007), (2206, 220898), (2209, 220595), (2210, 222581), (2216, 222714), (2225, 222414), (2246, 222570), (2255, 234481), (2257, 234713), (2261, 234741), (2264, 234666), (2276, 662810), (2279, 662688), (2292, 662763), (2309, 667989), (2314, 669245), (2317, 669420), (2318, 669041), (2328, 61317), (2337, 61130), (2339, 61054), (2344, 61283), (2347, 60878), (2351, 12607), (2354, 1517), (2443, 479735), (2487, 370592), (2505, 369255), (2511, 370577), (2614, 202520), (2620, 205034), (2638, 652299), (2659, 660595), (2676, 662358), (2686, 60022), (2733, 529945), (2786, 472577), (2827, 355343), (2840, 353396), (2871, 352657), (2879, 347831), (2945, 180485), (2949, 184828), (2950, 181644), (2958, 195881), (2960, 195976), (2970, 638861), (2982, 639703), (2990, 639036), (2996, 648677), (2997, 651274), (3006, 646162), (3094, 464210), (3107, 463569), (3170, 333608), (3185, 335313), (3197, 327838), (3219, 165811), (3243, 156909), (3256, 160162), (3257, 157310), (3259, 161574), (3291, 635365), (3303, 51803), (3429, 314488), (3434, 314779), (3489, 135822), (3617, 448027), (3688, 126180), (3742, 524219), (3778, 446380), (3813, 290693), (3839, 105353), (3955, 280470)
PF operator: (3 t + 1)2 (4 t2 - 12 t + 1) (13 t2 + 6 t + 1) (1118 t3 + 781 t2 + 163 t - 4) D4 + 2 (3 t + 1) (872040 t8 - 815724 t7 - 1739146 t6 - 951207 t5 - 208447 t4 - 15586 t3 - 289 t2 - 163 t + 2) D3 + t (18312840 t8 - 3555084 t7 - 26351974 t6 - 19335469 t5 - 5766121 t4 - 672588 t3 - 5048 t2 + 2461 t + 7) D2 + 2 t2 (13080600 t7 + 1089348 t6 - 12210342 t5 - 9222257 t4 - 2455585 t3 - 198392 t2 + 7502 t + 768) D + 8 t2 (1569672 t7 + 399672 t6 - 1018304 t5 - 826062 t4 - 200788 t3 - 9845 t2 + 1141 t + 40)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-4) * (D - 1) * D3
Symbol of PF operator: (3*t + 1)2 * (4*t2 - 12*t + 1) * (13*t2 + 6*t + 1) * (1118*t3 + 781*t2 + 163*t - 4)
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
0.0857864376269050?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
2.914213562373095?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2307692307692308? - 0.1538461538461539?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2307692307692308? + 0.1538461538461539?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02212100778843909?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3603449403879584? - 0.1785776436265402?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3603449403879584? + 0.1785776436265402?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 37

First few terms: 1, 0, 4, 12, 84, 360, 2380, 13440, 83860, 512400
Fano variety: rank 3, number 17
Polytopes (PALP, grdb): (129, 519654), (160, 430082), (208, 255877), (209, 255871), (296, 429080), (404, 255703), (414, 62075), (469, 543566), (586, 516712), (691, 254713), (706, 254720), (793, 541695), (827, 513250), (852, 513119), (919, 420898), (945, 420883), (1055, 253608), (1221, 507608), (1628, 500363), (1840, 236250), (2063, 491122), (2537, 370613)
PF operator: (4 t + 1) (176 t4 + 96 t3 + 8 t2 + 4 t - 1) (3784 t4 - 2992 t3 - 2746 t2 - 113 t + 9) D4 + (19979520 t9 - 7308928 t8 - 27207488 t7 - 12940032 t6 - 2086880 t5 - 147080 t4 - 12616 t3 - 7374 t2 - 226 t + 9) D3 + t (53278720 t8 - 32398432 t7 - 78356608 t6 - 29923800 t5 - 3215932 t4 - 23152 t3 + 14228 t2 + 1706 t + 5) D2 + 4 t2 (14984640 t7 - 11460680 t6 - 23264560 t5 - 7269658 t4 - 492733 t3 + 47756 t2 + 3906 t + 288) D + 8 t2 (2996928 t7 - 2595736 t6 - 4848096 t5 - 1281270 t4 - 48043 t3 + 14592 t2 + 719 t + 36)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (-9) * (D - 1) * D3
Symbol of PF operator: (4*t + 1) * (176*t4 + 96*t3 + 8*t2 + 4*t - 1) * (3784*t4 - 2992*t3 - 2746*t2 - 113*t + 9)
Degree: 36
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.506758420390496?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.0878099660387274?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03972365574840490?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
1.345542405099423?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.5671191694370298?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1364763629581499?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.05740586948783277? - 0.2647916609757618?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.05740586948783277? + 0.2647916609757618?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 38

First few terms: 1, 0, 10, 42, 414, 3300, 29890, 275940, 2608270, 25305000
Fano variety: ?
Polytopes (PALP, grdb): (526, 516949), (665, 425397), (835, 513263), (930, 420924), (941, 420889), (988, 420104), (1036, 251685), (1096, 674606), (1300, 413028), (1302, 413050), (1303, 413245), (1314, 413253), (1405, 246251), (1425, 246208), (1454, 251060), (1472, 672935), (1482, 674214), (1487, 674234), (1495, 674209), (1498, 674053), (1515, 61943), (1520, 61933), (1522, 61941), (1527, 1521), (1709, 402259), (1745, 397635), (1777, 236718), (1807, 236580), (1812, 236242), (1814, 236280), (1818, 236285), (1835, 236594), (1855, 245234), (1867, 245168), (1868, 245226), (1891, 672641), (1905, 672892), (1926, 61811), (1938, 61687), (2033, 491391), (2036, 491363), (2047, 491549), (2098, 388879), (2139, 388485), (2145, 387411), (2147, 388435), (2163, 385181), (2181, 222882), (2201, 220430), (2215, 222534), (2216, 222714), (2219, 222606), (2246, 222570), (2250, 234668), (2251, 231193), (2276, 662810), (2280, 662683), (2285, 662754), (2302, 669048), (2306, 669080), (2315, 669421), (2317, 669420), (2318, 669041), (2324, 667195), (2338, 61098), (2343, 61081), (2344, 61283), (2351, 12607), (2459, 372872), (2489, 370548), (2496, 370586), (2505, 369255), (2516, 370580), (2557, 205281), (2562, 205940), (2586, 204255), (2588, 205076), (2614, 202520), (2616, 205057), (2618, 204551), (2627, 215852), (2651, 652700), (2676, 662358), (2684, 59845), (2686, 60022), (2786, 472577), (2840, 353396), (2842, 353023), (2855, 353919), (2871, 352657), (2872, 351015), (2878, 345920), (2880, 342527), (2894, 186242), (2914, 186299), (2945, 180485), (2949, 184828), (2950, 181644), (2992, 639704), (2997, 651274), (3118, 463650), (3119, 465572), (3164, 333356), (3171, 335194), (3193, 334855), (3211, 165945), (3222, 165904), (3245, 161494), (3257, 157310), (3259, 161574), (3291, 635365), (3303, 51803), (3368, 456285), (3433, 317608), (3434, 314779), (3437, 314493), (3489, 135822), (3497, 140568), (3643, 299902), (3690, 125261), (3695, 118065), (3770, 446324), (3780, 445061), (3839, 105353), (3908, 441580), (3912, 442325), (3955, 280470), (3960, 281524)
PF operator: (2 t + 1)2 (11335 t3 + 6598 t2 + 1091 t - 24) (391 t4 + 428 t3 + 90 t2 - 1) D4 + 2 (2 t + 1) (44319850 t8 + 78059303 t7 + 51742524 t6 + 16447207 t5 + 2415173 t4 + 112693 t3 + 3395 t2 + 1163 t - 12) D3 + t (620477900 t8 + 1218943172 t7 + 958664473 t6 + 384463114 t5 + 80112855 t4 + 7132816 t3 + 3879 t2 - 16030 t - 35) D2 + 4 t2 (221599250 t7 + 390620528 t6 + 275741165 t5 + 98098640 t4 + 17332832 t3 + 1079672 t2 - 36583 t - 2400) D + 4 t2 (106367640 t7 + 174240780 t6 + 114037353 t5 + 37121472 t4 + 5720459 t3 + 232114 t2 - 19018 t - 480)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (24) * (D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (11335*t3 + 6598*t2 + 1091*t - 24) * (391*t4 + 428*t3 + 90*t2 - 1)
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
0.01959733249503342?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3008441007424439? - 0.1324192666525903?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3008441007424439? + 0.1324192666525903?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.8178653245558012?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.08754847150040288?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1821561514774160? - 0.05037468656609833?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1821561514774160? + 0.05037468656609833?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 39

First few terms: 1, 0, 16, 90, 1104, 11460, 133990, 1588860, 19463920, 242996040
Fano variety: ?
Polytopes (PALP, grdb): (1192, 507655), (1281, 413304), (1321, 413237), (1322, 413239), (1415, 246266), (1658, 497552), (1720, 402296), (1789, 236721), (1793, 236734), (1820, 236194), (1834, 236585), (1877, 669486), (2090, 388932), (2150, 387291), (2182, 223087), (2199, 223110), (2232, 222817), (2233, 222548), (2262, 234763), (2291, 662798), (2311, 669393), (2335, 61320), (2341, 61252), (2352, 12598), (2475, 372903), (2523, 372117), (2592, 205078), (2597, 204737), (2625, 219437), (2630, 652784), (2652, 652688), (2655, 662536), (2680, 59969), (2687, 60017), (2689, 60034), (2692, 59993), (2699, 12508), (2703, 1514), (2773, 471922), (2828, 355133), (2903, 186477), (2911, 186035), (2929, 181660), (2931, 183533), (2957, 195631), (2971, 638863), (2975, 639467), (2976, 639040), (2977, 639026), (3020, 57255), (3027, 56158), (3032, 12194), (3123, 459912), (3158, 331666), (3173, 333422), (3207, 166026), (3210, 165592), (3251, 161989), (3252, 161408), (3260, 176483), (3272, 624170), (3285, 624136), (3287, 637785), (3288, 635393), (3300, 51702), (3310, 11035), (3387, 453160), (3416, 315922), (3420, 314336), (3471, 145029), (3502, 152299), (3520, 607864), (3522, 606817), (3523, 608687), (3527, 619540), (3538, 45767), (3638, 306682), (3649, 301133), (3657, 299865), (3662, 296153), (3704, 592333), (3704, 592333), (3705, 591419), (3806, 293348), (3816, 291693), (3837, 108179), (3841, 102320), (3920, 440627), (4050, 273088), (4211, 433064)
PF operator: (4 t + 1)2 (2551 t3 + 1243 t2 + 191 t - 4) (209 t4 - 30 t3 - 69 t2 - 10 t + 1) D4 + 2 (4 t + 1) (10663180 t8 + 6166841 t7 - 660737 t6 - 1299596 t5 - 355150 t4 - 31661 t3 - 586 t2 - 185 t + 2) D3 + t (298569040 t8 + 244031928 t7 + 49630835 t6 - 14659347 t5 - 8161898 t4 - 1139727 t3 - 15678 t2 + 3993 t + 11) D2 + 4 t2 (106631800 t7 + 86357232 t6 + 21983157 t5 - 1294147 t4 - 1432029 t3 - 157106 t2 + 4592 t + 624) D + 4 t2 (51183264 t7 + 41215176 t6 + 11531151 t5 + 213467 t4 - 382811 t3 - 28074 t2 + 3276 t + 128)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-4) * (D - 1) * D3
Symbol of PF operator: (4*t + 1)2 * (2551*t3 + 1243*t2 + 191*t - 4) * (209*t4 - 30*t3 - 69*t2 - 10*t + 1)
Degree: 20
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
0.01860398679128088?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2529319424352328? - 0.1425100575715557?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2529319424352328? + 0.1425100575715557?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0677940762920263?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.699404098528483?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3118287524820247? - 0.06060307882098888?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3118287524820247? + 0.06060307882098888?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 40

First few terms: 1, 0, 28, 216, 3516, 49680, 783640, 12594960, 208898620, 3533634720
Fano variety: rank 2, number 10
Polytopes (PALP, grdb): (1971, 545864), (2092, 388964), (2130, 388625), (2189, 223123), (2409, 482426), (2446, 479734), (2745, 529101), (2807, 469775), (2887, 186783), (2890, 186772), (2896, 186640), (2923, 186637), (2927, 184657), (2966, 639881), (2968, 639889), (2983, 639786), (3007, 53123), (3007, 53123), (3011, 53112), (3018, 57357), (3031, 11582), (3035, 12198), (3131, 338235), (3152, 335125), (3208, 166302), (3274, 624507), (3338, 526791), (3356, 458619), (3361, 456569), (3375, 456805), (3386, 454052), (3408, 321054), (3472, 146294), (3476, 146798), (3480, 140115), (3486, 142082), (3511, 610605), (3528, 41156), (3528, 41156), (3531, 40767), (3541, 9091), (3614, 447951), (3616, 447729), (3644, 299287), (3702, 597551), (3788, 443493), (3801, 292681), (3827, 112423), (3850, 585038), (3850, 585038), (3853, 584967), (3872, 28187), (3913, 442583), (3933, 283208), (3938, 281831), (3971, 94626), (4001, 544711), (4020, 522103), (4071, 86196), (4163, 434689), (4164, 434819), (4174, 264553), (4263, 431653), (4301, 520292)
PF operator: (4 t - 1) (20 t - 1) (4 t + 1)2 (5 t + 1)2 (2720 t3 + 1052 t2 + 121 t - 2) D4 + 2 (4 t + 1) (5 t + 1) (21760000 t7 + 9692800 t6 + 836000 t5 - 218872 t4 - 34954 t3 - 169 t2 - 116 t + 1) D3 + t (3046400000 t8 + 2529152000 t7 + 794137600 t6 + 97416640 t5 - 1622960 t4 - 1146248 t3 - 23095 t2 + 3572 t + 9) D2 + 8 t2 (544000000 t7 + 427504000 t6 + 130276000 t5 + 16406920 t4 + 234582 t3 - 75774 t2 + 1351 t + 280) D + 16 t2 (130560000 t7 + 99024000 t6 + 29469600 t5 + 3671640 t4 + 91058 t3 - 6430 t2 + 667 t + 28)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-2) * (D - 1) * D3
Symbol of PF operator: (4*t - 1) * (20*t - 1) * (4*t + 1)2 * (5*t + 1)2 * (2720*t3 + 1052*t2 + 121*t - 2)
Degree: 16
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.25000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.05000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000?
0 1 0 0
0 0 0 0
0 0 0 1
0 0 0 0
-0.25000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.01460450056252030?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2006846032224367? - 0.10036324500733681?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2006846032224367? + 0.10036324500733681?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 41

First few terms: 1, 0, 2, 12, 30, 120, 920, 3360, 16030, 99120
Fano variety: rank 3, number 25
Polytopes (PALP, grdb): (24, 520135), (46, 520051), (73, 430422), (365, 254877), (468, 543552), (532, 516898)
PF operator: (t - 1) (2 t + 1) (3 t + 1) (6 t - 1) (20 t2 + 4 t + 1) (3296 t3 + 2172 t2 + 168 t - 11) D4 + (26104320 t9 + 16076544 t8 - 9742656 t7 - 9117696 t6 - 2065936 t5 - 144000 t4 - 10604 t3 - 5864 t2 - 369 t + 11) D3 + t (97297920 t8 + 68516928 t7 - 17912000 t6 - 19727600 t5 - 3702032 t4 - 124372 t3 + 18860 t2 + 1043 t + 3) D2 + 8 t2 (18095040 t7 + 13965792 t6 - 1401840 t5 - 2301488 t4 - 365884 t3 + 1230 t2 + 2687 t + 88) D + 16 t2 (4449600 t7 + 3627408 t6 - 87632 t5 - 394856 t4 - 54356 t3 + 2429 t2 + 521 t + 11)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-11) * (D - 1) * D3
Symbol of PF operator: (t - 1) * (2*t + 1) * (3*t + 1) * (6*t - 1) * (20*t2 + 4*t + 1) * (3296*t3 + 2172*t2 + 168*t - 11)
Degree: 44
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1666666666666667?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10000000000000000? - 0.2000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10000000000000000? + 0.2000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.5566409241443149?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1439810335252124?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04164137514525537?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 42

First few terms: 1, 0, 4, 12, 36, 360, 940, 8400, 38500, 210000
Fano variety: rank 2, number 29
Polytopes (PALP, grdb): (18, 544339), (55, 520047), (71, 430439), (105, 544019), (130, 519646), (170, 430083), (203, 255737), (306, 429015), (366, 254841), (380, 254828), (502, 543291), (2388, 532180)
PF operator: (t + 1) (148 t4 - 144 t3 - 32 t2 + t + 1) (2368 t4 + 3515 t3 - 354 t2 + 624 t - 20) D4 + (2628480 t9 + 4469230 t8 - 1455284 t7 - 1205456 t6 + 145491 t5 - 605189 t4 - 48858 t3 + 4166 t2 - 1308 t + 20) D3 + t (7009280 t8 + 12915886 t7 - 2103820 t6 + 1574080 t5 + 560112 t4 - 1177117 t3 - 5485 t2 + 3792 t + 4) D2 + 4 t2 (1971360 t7 + 3852107 t6 - 419765 t5 + 1228116 t4 + 108618 t3 - 253712 t2 + 7288 t + 640) D + 16 t2 (197136 t7 + 402005 t6 - 35964 t5 + 171636 t4 + 5000 t3 - 19998 t2 + 1086 t + 40)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (-20) * (D - 1) * D3
Symbol of PF operator: (t + 1) * (148*t4 - 144*t3 - 32*t2 + t + 1) * (2368*t4 + 3515*t3 - 354*t2 + 624*t - 20)
Degree: 40
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1511532136110929?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
1.151255881355459?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1647180609967894? - 0.10814952382992938?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1647180609967894? + 0.10814952382992938?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.670163996259625?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03245200816220302?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0766684940487108? - 0.3872346808355282?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0766684940487108? + 0.3872346808355282?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 43

First few terms: 1, 0, 8, 12, 168, 600, 5300, 27720, 210280, 1308720
Fano variety: rank 5, number 3
Polytopes (PALP, grdb): (113, 544028), (149, 519311), (194, 430360), (218, 255779), (483, 543309), (558, 516371), (674, 427168), (724, 254603), (793, 541695), (852, 513119), (1466, 250714), (2153, 387094)
PF operator: (t + 1) (4 t - 1) (4 t + 1) (5 t + 1) (8 t - 1) (2360 t4 + 300 t3 + 807 t2 + 29 t - 3) D4 + (11328000 t9 + 9750400 t8 + 6097760 t7 + 4072992 t6 + 102584 t5 - 125978 t4 - 5370 t3 - 1742 t2 - 49 t + 3) D3 + t (30208000 t8 + 19383200 t7 + 18388720 t6 + 10285044 t5 + 367272 t4 - 61629 t3 - 1411 t2 + 1018 t + 2) D2 + 4 t2 (8496000 t7 + 4283000 t6 + 5674860 t5 + 2610997 t4 + 116039 t3 + 5622 t2 + 100 t + 180) D + 8 t2 (1699200 t7 + 710440 t6 + 1213060 t5 + 470575 t4 + 25579 t3 + 3217 t2 + 67 t + 24)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,5)
PF operator at t=0: (-3) * (D - 1) * D3
Symbol of PF operator: (t + 1) * (4*t - 1) * (4*t + 1) * (5*t + 1) * (8*t - 1) * (2360*t4 + 300*t3 + 807*t2 + 29*t - 3)
Degree: 36
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.25000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.12500000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.08210178485781181?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04522782016628215?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.04512233968813348? - 0.5833512943702128?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.04512233968813348? + 0.5833512943702128?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 44

First few terms: 1, 0, 2, 6, 6, 120, 110, 1260, 5110, 11760
Fano variety: rank 2, number 34
Polytopes (PALP, grdb): (4, 544392), (23, 520154)
PF operator: (t - 1) (5 t - 1) (7 t2 - t + 1) (19 t2 + 7 t + 1) (162 t3 - 160 t2 - 243 t + 24) D4 + (1077300 t9 - 1957720 t8 - 1018980 t7 + 1635438 t6 - 214704 t5 + 70185 t4 - 2106 t3 - 224 t2 + 729 t - 48) D3 + t2 (3770550 t7 - 6461920 t6 - 5313195 t5 + 5706902 t4 - 759456 t3 + 107181 t2 - 13608 t - 1024) D2 + 2 t2 (2693250 t7 - 4426180 t6 - 4779405 t5 + 3973678 t4 - 529848 t3 + 31203 t2 - 9396 t - 192) D + 24 t3 (107730 t6 - 172366 t5 - 217269 t4 + 154954 t3 - 20592 t2 + 384 t - 324)
PF degree (N, r): (4,9)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (24) * (D - 2) * D3
Symbol of PF operator: (t - 1) * (5*t - 1) * (7*t2 - t + 1) * (19*t2 + 7*t + 1) * (162*t3 - 160*t2 - 243*t + 24)
Degree: 54
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.07142857142857143? - 0.3711537444790451?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.07142857142857143? + 0.3711537444790451?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1842105263157895? - 0.1367408532291219?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1842105263157895? + 0.1367408532291219?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.8884242956102447?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.09354897652863194?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
1.782529640069267?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 45

First few terms: 1, 0, 56, 492, 10536, 168600, 3180980, 58753800, 1129788520, 21955158960
Fano variety: rank 8, number 1
Polytopes (PALP, grdb): (768, 546850)
PF operator: (19 t - 1) (23 t - 1) (4 t + 1)2 (8 t + 1)2 (314568 t4 + 109292 t3 + 22959 t2 + 1005 t - 27) D4 + (4 t + 1) (8 t + 1) (43989189120 t8 + 21888860128 t7 + 5696890752 t6 + 641322640 t5 + 2455278 t4 - 1472018 t3 - 20322 t2 - 1605 t + 27) D3 + t (4926789181440 t9 + 3846083465216 t8 + 1447608623328 t7 + 308852302064 t6 + 33715086372 t5 + 1393737480 t4 - 13071861 t3 - 1059187 t2 + 65322 t + 162) D2 + 4 t2 (1759567564800 t8 + 1263583354624 t7 + 458865850536 t6 + 92124351020 t5 + 8979650757 t4 + 314010495 t3 - 3476106 t2 - 156300 t + 11988) D + 24 t2 (140765405184 t8 + 95650490624 t7 + 33991200744 t6 + 6497406412 t5 + 575886645 t4 + 17436993 t3 - 207501 t2 - 3375 t + 504)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-27) * (D - 1) * D3
Symbol of PF operator: (19*t - 1) * (23*t - 1) * (4*t + 1)2 * (8*t + 1)2 * (314568*t4 + 109292*t3 + 22959*t2 + 1005*t - 27)
Degree: 18
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.05263157894736842?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04347826086956522?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.12500000000000000?
5/6 0 0 0
0 1/6 0 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
5/6 0 0 0
0 1/6 0 0
0 0 0 0
0 0 0 0
-0.08285250397335237?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.01840919718060592?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1414959529717253? - 0.1904022538475686?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1414959529717253? + 0.1904022538475686?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 46

First few terms: 1, 0, 8, 36, 288, 2220, 18260, 154560, 1348480, 11977560
Fano variety: ?
Polytopes (PALP, grdb): (618, 425458), (654, 425396), (700, 61969), (920, 420919), (921, 420848), (939, 420918), (1017, 251657), (1022, 251663), (1029, 251686), (1063, 253844), (1088, 674629), (1097, 674602), (1098, 674610), (1109, 61964), (1111, 61966), (1185, 507329), (1297, 413170), (1319, 413255), (1363, 409707), (1408, 246247), (1422, 246217), (1437, 251061), (1452, 251469), (1457, 251490), (1469, 251478), (1478, 674217), (1486, 674222), (1494, 674224), (1501, 674057), (1510, 674145), (1512, 674047), (1524, 61929), (1633, 500125), (1704, 402420), (1723, 402265), (1754, 400122), (1794, 236254), (1799, 236106), (1803, 236389), (1806, 236322), (1810, 236286), (1830, 236259), (1880, 672834), (1890, 672704), (1894, 672796), (1895, 672899), (1896, 672736), (1904, 672916), (1909, 671849), (1916, 672378), (1927, 61752), (1935, 61793), (1940, 12636), (2121, 387412), (2138, 387402), (2141, 387300), (2177, 382876), (2208, 222568), (2214, 222458), (2237, 222726), (2248, 222623), (2260, 234737), (2266, 234529), (2275, 662648), (2305, 668857), (2307, 668969), (2322, 667189), (2434, 481361), (2495, 370863), (2506, 370605), (2542, 364763), (2580, 203196), (2583, 204801), (2585, 202543), (2587, 205060), (2611, 202529), (2613, 205079), (2615, 202546), (2623, 215827), (2629, 219188), (2650, 652478), (2667, 662367), (2672, 660322), (2673, 660594), (2675, 662247), (2694, 59490), (2850, 352406), (2853, 352835), (2868, 353584), (2912, 186243), (2944, 179896), (2956, 181640), (3004, 651989), (3105, 463440), (3124, 460154), (3144, 337513), (3172, 331225), (3182, 335518), (3184, 334949), (3187, 331189), (3198, 327875), (3258, 162003), (3432, 315929), (3490, 134595), (3491, 134607), (3496, 140565), (3501, 136423), (3589, 451154), (3652, 299833), (3660, 299797), (3786, 446194), (3821, 287278), (4039, 438565)
PF operator: (7407 t4 + 25789 t3 + 10765 t2 + 841 t - 26) (2059 t6 + 3162 t5 + 1881 t4 + 524 t3 + 61 t2 - 2 t - 1) D4 + 2 (76255065 t10 + 379876033 t9 + 514387704 t8 + 323319353 t7 + 108106173 t6 + 19351982 t5 + 1705670 t4 + 89634 t3 + 12555 t2 + 880 t - 13) D3 + t (533785455 t9 + 2645500271 t8 + 3195245200 t7 + 1722212768 t6 + 473750284 t5 + 64810856 t4 + 3356100 t3 - 83340 t2 - 12903 t - 35) D2 + 2 t2 (381275325 t8 + 1883021813 t7 + 2074472772 t6 + 987519238 t5 + 230347943 t4 + 24396139 t3 + 538056 t2 - 72694 t - 3952) D + 8 t2 (45753039 t8 + 225471867 t7 + 233104154 t6 + 101412936 t5 + 20789399 t4 + 1735307 t3 - 11812 t2 - 7634 t - 208)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (26) * (D - 1) * D3
Symbol of PF operator: (7407*t4 + 25789*t3 + 10765*t2 + 841*t - 26) * (2059*t6 + 3162*t5 + 1881*t4 + 524*t3 + 61*t2 - 2*t - 1)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-3.011798126804565?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3524748582390235?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1409008268116541?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02346731799808018?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3020395305438582?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0953473437097405?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4883376305255487? - 0.1405802084878954?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4883376305255487? + 0.1405802084878954?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1761647461885241? - 0.1851272051990891?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1761647461885241? + 0.1851272051990891?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 47

First few terms: 1, 0, 6, 12, 114, 540, 3480, 22680, 137970, 978600
Fano variety: ?
Polytopes (PALP, grdb): (162, 430088), (174, 430090), (201, 255741), (386, 254880), (387, 254886), (412, 62088), (480, 543000), (541, 516953), (553, 516413), (615, 425450), (645, 425296), (710, 254688), (733, 674683), (956, 420092), (995, 420102), (1030, 251644), (1033, 251670), (1075, 253971), (1262, 505556), (1335, 413140), (1406, 246234), (1433, 250966), (1734, 402413), (1757, 397770), (2230, 222362), (2788, 472024)
PF operator: (11835 t4 + 6929 t3 + 330 t2 - 1443 t + 34) (43 t6 + 250 t5 + 431 t4 + 302 t3 + 46 t2 - 4 t - 1) D4 + 2 (2544525 t10 + 12734021 t9 + 20199415 t8 + 13415466 t7 + 2276078 t6 - 1996080 t5 - 1066914 t4 - 52008 t3 + 5066 t2 - 1545 t + 17) D3 + t (17811675 t9 + 71390827 t8 + 88267483 t7 + 40292576 t6 - 5259302 t5 - 13113665 t4 - 4294451 t3 - 69449 t2 + 10996 t + 15) D2 + 2 t2 (12722625 t8 + 42373321 t7 + 42360257 t6 + 12455220 t5 - 8286434 t4 - 7646635 t3 - 1747506 t2 + 29152 t + 3536) D + 24 t2 (508905 t8 + 1481965 t7 + 1250189 t6 + 202824 t5 - 384119 t4 - 255388 t3 - 43506 t2 + 1855 t + 68)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-34) * (D - 1) * D3
Symbol of PF operator: (11835*t4 + 6929*t3 + 330*t2 - 1443*t + 34) * (43*t6 + 250*t5 + 431*t4 + 302*t3 + 46*t2 - 4*t - 1)
Degree: 34
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.02375811356991430?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.3359695638924880?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4725972565596760? - 0.3695481750686853?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4725972565596760? + 0.3695481750686853?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-3.495824031654525?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1280196120033983?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.041053052408595? - 0.5956069771444053?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.041053052408595? + 0.5956069771444053?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1820214819518890? - 0.05469166984093169?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1820214819518890? + 0.05469166984093169?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 48

First few terms: 1, 0, 2, 12, 6, 180, 560, 1680, 16870, 46200
Fano variety: rank 2, number 31
Polytopes (PALP, grdb): (20, 520159), (45, 520058), (69, 430433)
PF operator: (10041 t4 + 16086 t3 - 345 t2 - 1431 t + 46) (91 t6 + 436 t5 + 186 t4 + 142 t3 + 11 t2 - 2 t - 1) D4 + 2 (4568655 t10 + 24468078 t9 + 34288053 t8 + 9197334 t7 + 526519 t6 - 945994 t5 - 474867 t4 + 29617 t3 + 1210 t2 - 1500 t + 23) D3 + t (31980585 t9 + 147574386 t8 + 187126041 t7 + 27410061 t6 - 17357125 t5 - 5809234 t4 - 2005192 t3 + 33233 t2 + 4353 t + 5) D2 + 2 t2 (22843275 t8 + 93897798 t7 + 107045643 t6 + 6686985 t5 - 17296006 t4 - 3261800 t3 - 812894 t2 + 36710 t + 1472) D + 8 t2 (2741193 t8 + 10414458 t7 + 10836453 t6 + 27675 t5 - 2248125 t4 - 316626 t3 - 60333 t2 + 4365 t + 92)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-46) * (D - 1) * D3
Symbol of PF operator: (10041*t4 + 16086*t3 - 345*t2 - 1431*t + 46) * (91*t6 + 436*t5 + 186*t4 + 142*t3 + 11*t2 - 2*t - 1)
Degree: 46
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1.564576590325774?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3380591152989213?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03227985494068184?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2683241805316375?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-4.406239540089372?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1751649705077149?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1464603477925062? - 0.1501926594209628?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1464603477925062? + 0.1501926594209628?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1336067630210608? - 0.5528775586912104?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1336067630210608? + 0.5528775586912104?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 49

First few terms: 1, 0, 90, 1518, 46086, 1327320, 41383350, 1329442380, 43944315030, 1483208104560
Fano variety: rank 2, number 4
Polytopes (PALP, grdb): (3926, 283519), (3926, 283519), (3963, 98325), (4030, 437961), (4055, 86711), (4205, 433633)
PF operator: (7 t + 1)2 (29 t2 - 3 t - 1) (277 t2 + 33 t - 1) (227409 t4 + 92446 t3 + 12978 t2 + 597 t - 5) D4 + (7 t + 1) (127874354790 t9 + 67819834306 t8 + 10754082246 t7 - 376210128 t6 - 298564394 t5 - 32644682 t4 - 1284832 t3 - 20427 t2 - 1109 t + 5) D3 + t (3132921692355 t9 + 2031498886942 t8 + 494883219656 t7 + 45684103321 t6 - 1679627669 t5 - 649917208 t4 - 40129157 t3 - 163059 t2 + 35862 t + 57) D2 + 2 t2 (2237801208825 t8 + 1413356232946 t7 + 344911240261 t6 + 36035625657 t5 + 479976760 t4 - 190719827 t3 - 10016160 t2 + 151878 t + 10560) D + 12 t2 (179024096706 t8 + 111204963548 t7 + 27020574287 t6 + 2938088010 t5 + 88175177 t4 - 6673855 t3 - 251628 t2 + 15645 t + 300)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-5) * (D - 1) * D3
Symbol of PF operator: (7*t + 1)2 * (29*t2 - 3*t - 1) * (277*t2 + 33*t - 1) * (227409*t4 + 92446*t3 + 12978*t2 + 597*t - 5)
Degree: 10
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.1428571428571429?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.1410403428879129?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2444886187499819?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1441735858863391?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02504001187911888?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1450867784444816?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.007192115106117318?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1343119940391232? - 0.05505393815390302?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1343119940391232? + 0.05505393815390302?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 50

First few terms: 1, 0, 6, 24, 138, 1080, 6540, 50400, 362250, 2713200
Fano variety: ?
Polytopes (PALP, grdb): (372, 254885), (388, 254888), (413, 62091), (546, 516490), (696, 61980), (713, 61976), (728, 674686), (830, 513201), (869, 511652), (925, 420902), (954, 420357), (1045, 253900), (1053, 253821), (1064, 253824), (1086, 674621), (1093, 674579), (1100, 674599), (1186, 507588), (1371, 412178), (1387, 246285), (1400, 246081), (1439, 251444), (1446, 251085), (1492, 674206), (1629, 500365), (1671, 498770), (1748, 397686), (1801, 236235), (1811, 236421), (1851, 236231), (1852, 236551), (1853, 236555), (1856, 245021), (1933, 61769), (2029, 491204), (2030, 490916), (2157, 387964), (2171, 382866), (2191, 223129), (2316, 668872), (2430, 482432), (2442, 481366), (2449, 479159), (2528, 372132), (2610, 202555), (2859, 353579), (2877, 352788), (3188, 332295), (3189, 334947), (3610, 450159), (3787, 446396)
PF operator: (2 t + 1) (1680 t4 - 5320 t3 - 3832 t2 - 522 t + 15) (400 t5 + 640 t4 + 348 t3 + 48 t2 - 2 t - 1) D4 + (13440000 t10 - 25648000 t9 - 101534400 t8 - 107367840 t7 - 53144224 t6 - 13162952 t5 - 1455100 t4 - 54558 t3 - 7812 t2 - 1134 t + 15) D3 + 2 t (23520000 t9 - 59024000 t8 - 173734400 t7 - 151979680 t6 - 62362984 t5 - 12451308 t4 - 983690 t3 + 12491 t2 + 2728 t + 6) D2 + 4 t2 (16800000 t8 - 49028000 t7 - 119511600 t6 - 90784200 t5 - 32031284 t4 - 5264472 t3 - 274824 t2 + 16023 t + 840) D + 48 t2 (672000 t8 - 2130800 t7 - 4632360 t6 - 3194340 t5 - 1006390 t4 - 140448 t3 - 4182 t2 + 609 t + 15)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-15) * (D - 1) * D3
Symbol of PF operator: (2*t + 1) * (1680*t4 - 5320*t3 - 3832*t2 - 522*t + 15) * (400*t5 + 640*t4 + 348*t3 + 48*t2 - 2*t - 1)
Degree: 30
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4118847796446122?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2356893110833950?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02426779034431666?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
3.789972967050357?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.11297097595086108?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.6937688319805974? - 0.3034042796843666?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.6937688319805974? + 0.3034042796843666?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1627166559948331? - 0.1100861759655544?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1627166559948331? + 0.1100861759655544?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 51

First few terms: 1, 0, 36, 348, 6516, 110880, 2069820, 39606000, 780530100, 15697106880
Fano variety: rank 2, number 7
Polytopes (PALP, grdb): (2471, 372935), (2553, 205994), (2753, 474441), (2965, 639875), (3101, 464112), (3132, 338167), (3214, 166515), (3215, 166501), (3238, 163386), (3265, 625365), (3447, 147436), (3483, 140735), (3508, 610744), (3510, 610784), (3529, 41168), (3536, 41127), (3542, 9094), (3543, 9098), (3591, 449870), (3623, 306022), (3628, 305762), (3640, 301937), (3697, 597527), (3700, 597556), (3703, 597738), (3717, 34551), (3812, 287299), (3823, 112305), (3831, 108038), (3846, 585232), (3855, 584997), (3866, 29610), (3870, 28930), (3928, 282712), (3946, 283322), (3962, 98196), (3975, 94624), (3976, 95280), (4060, 87169), (4061, 82704), (4078, 565273), (4100, 521707), (4125, 268804), (4135, 77741), (4137, 76994), (4208, 433608), (4220, 261600)
PF operator: (4 t + 1) (5 t + 1)2 (148 t3 - 96 t2 - 20 t + 1) (64932 t4 + 37695 t3 + 7643 t2 + 509 t - 7) D4 + (5 t + 1) (1921987200 t9 + 844899720 t8 - 296719530 t7 - 277571188 t6 - 73975352 t5 - 8859669 t4 - 439740 t3 - 10798 t2 - 990 t + 7) D3 + 2 t (16817388000 t9 + 11449649400 t8 + 954666743 t7 - 1321805415 t6 - 531066856 t5 - 85180748 t4 - 5601101 t3 - 13139 t2 + 9204 t + 20) D2 + 4 t2 (12012420000 t8 + 8515066350 t7 + 1474857957 t6 - 399916159 t5 - 199871811 t4 - 29510163 t3 - 1390062 t2 + 37640 t + 2744) D + 72 t2 (320331200 t8 + 232614830 t7 + 50528204 t6 - 3614382 t5 - 3153967 t4 - 432835 t3 - 11133 t2 + 1159 t + 28)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-7) * (D - 1) * D3
Symbol of PF operator: (4*t + 1) * (5*t + 1)2 * (148*t3 - 96*t2 - 20*t + 1) * (64932*t4 + 37695*t3 + 7643*t2 + 509*t - 7)
Degree: 14
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.25000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.1993340176691765?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04205940998666139?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.8059232563311637?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2069604067853809?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.01161017655478993?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1925900854021690? - 0.08817384321102816?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1925900854021690? + 0.08817384321102816?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 52

First few terms: 1, 0, 14, 84, 930, 9720, 108680, 1259160, 14951650, 181377840
Fano variety: rank 2, number 13
Polytopes (PALP, grdb): (1253, 506765), (1347, 413085), (1392, 246264), (1414, 246260), (1418, 246269), (1429, 246223), (1661, 498805), (1679, 498737), (1716, 401569), (1756, 400558), (1820, 236194), (1823, 236588), (1833, 236550), (1873, 669485), (1883, 672884), (1923, 61815), (1931, 61766), (2112, 387295), (2113, 388555), (2151, 388570), (2212, 222537), (2220, 222519), (2235, 222648), (2252, 234667), (2277, 662786), (2289, 662706), (2291, 662798), (2294, 662747), (2296, 662762), (2299, 662797), (2303, 669376), (2331, 61352), (2332, 61364), (2335, 61320), (2340, 61261), (2342, 61055), (2346, 61240), (2353, 1520), (2410, 482313), (2433, 482128), (2447, 479733), (2482, 371917), (2483, 370843), (2484, 370581), (2488, 368601), (2563, 205576), (2568, 205443), (2592, 205078), (2603, 204951), (2635, 652672), (2641, 652695), (2643, 652681), (2644, 652662), (2648, 652706), (2652, 652688), (2653, 652715), (2655, 662536), (2666, 662510), (2669, 662154), (2671, 662129), (2680, 59969), (2687, 60017), (2688, 60031), (2689, 60034), (2697, 12519), (2699, 12508), (2703, 1514), (2759, 473302), (2759, 473302), (2769, 473155), (2773, 471922), (2854, 352704), (2858, 352783), (2881, 347781), (2885, 186731), (2892, 186241), (2903, 186477), (2915, 186256), (2930, 181753), (2931, 183533), (2937, 181441), (2938, 184165), (2939, 178124), (2953, 181769), (2954, 181697), (2971, 638863), (2974, 639652), (2976, 639040), (2978, 639673), (2980, 639783), (2985, 639042), (2993, 639761), (2994, 651661), (3001, 651803), (3009, 53121), (3020, 57255), (3030, 54918), (3032, 12194), (3091, 464388), (3138, 337781), (3157, 335307), (3158, 331666), (3163, 331116), (3173, 333422), (3175, 335193), (3196, 327940), (3206, 165903), (3207, 166026), (3250, 163422), (3252, 161408), (3255, 161488), (3270, 623294), (3285, 624136), (3287, 637785), (3288, 635393), (3294, 47421), (3300, 51702), (3302, 52267), (3310, 11035), (3352, 458617), (3421, 317606), (3439, 315731), (3443, 308301), (3453, 144213), (3457, 146344), (3467, 146348), (3477, 145166), (3481, 140254), (3484, 136440), (3494, 134327), (3500, 140258), (3509, 610612), (3520, 607864), (3522, 606817), (3523, 608687), (3524, 608931), (3527, 619540), (3538, 45767), (3539, 45839), (3556, 525382), (3590, 450075), (3590, 450075), (3599, 451769), (3615, 448025), (3648, 304635), (3649, 301133), (3653, 299581), (3657, 299865), (3661, 300046), (3668, 125301), (3672, 126033), (3676, 125177), (3693, 120965), (3704, 592333), (3705, 591419), (3707, 595050), (3806, 293348), (3820, 287137), (3837, 108179), (3841, 102320), (3860, 580376), (3862, 580301), (3940, 282906), (3956, 278176), (3977, 93838), (3979, 91442), (4010, 522634), (4034, 439128), (4050, 273088), (4070, 86235), (4107, 436417), (4176, 262193), (4211, 433064)
PF operator: (2 t + 1) (3 t + 1)2 (332 t3 + 96 t2 + 6 t - 1) (15104 t4 + 17627 t3 + 5700 t2 + 494 t - 10) D4 + (3 t + 1) (300871680 t9 + 614464264 t8 + 486265462 t7 + 191457950 t6 + 39360422 t5 + 3919493 t4 + 154348 t3 + 8542 t2 + 1048 t - 10) D3 + 3 t (1053050880 t9 + 2315664344 t8 + 2017168542 t7 + 905709120 t6 + 224302988 t5 + 29581184 t4 + 1661629 t3 - 11331 t2 - 3364 t - 8) D2 + 4 t2 (1128268800 t8 + 2345571018 t7 + 1883980157 t6 + 762494793 t5 + 164898213 t4 + 17780311 t3 + 617640 t2 - 28416 t - 1480) D + 8 t2 (270784512 t8 + 542851470 t7 + 412257554 t6 + 154805786 t5 + 30175513 t4 + 2731719 t3 + 45026 t2 - 6482 t - 140)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (10) * (D - 1) * D3
Symbol of PF operator: (2*t + 1) * (3*t + 1)2 * (332*t3 + 96*t2 + 6*t - 1) * (15104*t4 + 17627*t3 + 5700*t2 + 494*t - 10)
Degree: 20
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.0698239694530579?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1794902979795410? - 0.1045034557052041?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1794902979795410? + 0.1045034557052041?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.6919720116354243?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3056845818238297?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1861955923363907?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.01681034257530567?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 53

First few terms: 1, 0, 2, 12, 6, 120, 560, 840, 10150, 38640
Fano variety: rank 3, number 31
Polytopes (PALP, grdb): (19, 544340), (27, 520139)
PF operator: (2 t - 1) (2 t + 1) (416 t4 + 144 t3 + 8 t2 - 4 t - 1) (45288 t4 + 30036 t3 + 6276 t2 + 497 t - 39) D4 + (753592320 t10 + 745423104 t9 + 185422464 t8 - 42224768 t7 - 31592736 t6 - 7117152 t5 - 859856 t4 - 110028 t3 - 15962 t2 - 1228 t + 39) D3 + t (2637573120 t9 + 2570893824 t8 + 781251744 t7 + 12873488 t6 - 46659792 t5 - 11117196 t4 - 483616 t3 + 74296 t2 + 3208 t + 3) D2 + 4 t2 (941990400 t8 + 908926656 t7 + 300274776 t6 + 31671020 t5 - 6601548 t4 - 2127057 t3 - 30868 t2 + 21295 t + 572) D + 24 t2 (75359232 t8 + 72257088 t7 + 24788184 t6 + 3580156 t5 - 155820 t4 - 103357 t3 + 2122 t2 + 1416 t + 26)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-39) * (D - 1) * D3
Symbol of PF operator: (2*t - 1) * (2*t + 1) * (416*t4 + 144*t3 + 8*t2 - 4*t - 1) * (45288*t4 + 30036*t3 + 6276*t2 + 497*t - 39)
Degree: 52
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2657243847171350?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1877131898061945?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1340713256214528? - 0.1738317925794093?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1340713256214528? + 0.1738317925794093?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3979496715527730?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04579039580330508?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1555313849127594? - 0.1518827764091528?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1555313849127594? + 0.1518827764091528?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 54

First few terms: 1, 0, 0, 6, 24, 0, 90, 1260, 2520, 1680
Fano variety: rank 2, number 33
Polytopes (PALP, grdb): (6, 544390)
PF operator: (11 t3 - 18 t2 - t - 1) (43 t3 + 18 t2 - t - 1) (8262 t4 + 14612 t3 + 6595 t2 - 24 t - 27) D4 + (39079260 t10 + 40334396 t9 - 49722312 t8 - 70490802 t7 - 20245680 t6 - 1377859 t5 + 27026 t4 - 55638 t3 - 19917 t2 - 33 t + 27) D3 + t (136777410 t9 + 188192276 t8 - 80928641 t7 - 184349706 t6 - 44671005 t5 - 1436319 t4 + 308369 t3 + 26258 t2 + 11 t + 3) D2 + 2 t3 (97698150 t7 + 157262258 t6 - 10515717 t5 - 103336554 t4 - 20792988 t3 + 83511 t2 + 191403 t + 12393) D + 12 t3 (7815852 t7 + 13709506 t6 + 1549584 t5 - 6919554 t4 - 1163175 t3 + 48834 t2 + 13959 t + 729)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-27) * (D - 1) * D3
Symbol of PF operator: (11*t3 - 18*t2 - t - 1) * (43*t3 + 18*t2 - t - 1) * (8262*t4 + 14612*t3 + 6595*t2 - 24*t - 27)
Degree: 54
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
1.719950209291181?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.04179328646377225? - 0.2260729393318203?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.04179328646377225? + 0.2260729393318203?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2114597866325400?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3150322188976654? - 0.1035962291006627?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3150322188976654? + 0.1035962291006627?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.06702122882771271?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.06151560786881004?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.8815367077969951? - 0.12466733287104700?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.8815367077969951? + 0.12466733287104700?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 55

First few terms: 1, 0, 8, 30, 240, 1920, 13490, 121800, 953680, 8465520
Fano variety: rank 2, number 19
Polytopes (PALP, grdb): (337, 429050), (567, 516491), (690, 254018), (927, 420895), (951, 420907), (1013, 251664), (1108, 12649), (1229, 505549), (1344, 413249), (1368, 412180), (1391, 246197), (1413, 246229), (1475, 672931), (1489, 674218), (1739, 402411), (1761, 400230), (1795, 236314), (1816, 236554), (1874, 669448), (1876, 669474), (2103, 388295), (2108, 388579), (2140, 387580), (2172, 382503), (2245, 222575), (2249, 222443), (2444, 477857), (2532, 371689), (2650, 652478), (3168, 333898), (3187, 331189)
PF operator: (t + 1)2 (11 t2 + 9 t - 1) (37 t2 + 11 t + 1) (1721 t4 + 3782 t3 + 2388 t2 + 557 t - 13) D4 + (t + 1) (7004470 t9 + 26294254 t8 + 38074874 t7 + 27707452 t6 + 10751906 t5 + 1943950 t4 + 81692 t3 + 1309 t2 + 1205 t - 13) D3 + t (24515645 t9 + 106754794 t8 + 186227290 t7 + 170297843 t6 + 88255865 t5 + 25026212 t4 + 3062113 t3 + 1867 t2 - 6452 t - 11) D2 + 2 t2 (17511175 t8 + 71497922 t7 + 115220787 t6 + 96583383 t5 + 45290268 t4 + 11143477 t3 + 1015280 t2 - 31784 t - 1976) D + 4 t2 (4202682 t8 + 16454568 t7 + 25106793 t6 + 19779498 t5 + 8595413 t4 + 1872371 t3 + 121254 t2 - 8089 t - 208)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (13) * (D - 1) * D3
Symbol of PF operator: (t + 1)2 * (11*t2 + 9*t - 1) * (37*t2 + 11*t + 1) * (1721*t4 + 3782*t3 + 2388*t2 + 557*t - 13)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.1486486486486487? - 0.0702182759825221?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1486486486486487? + 0.0702182759825221?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.9172881767044976?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.09910635852267948?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.350764071622938?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02132347319841468?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4340594799858791? - 0.2717501216853839?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4340594799858791? + 0.2717501216853839?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 56

First few terms: 1, 0, 14, 108, 1074, 13440, 154760, 1951320, 24999730, 325321920
Fano variety: rank 2, number 11
Polytopes (PALP, grdb): (1700, 402368), (1788, 236729), (2202, 222698), (2286, 662831), (2326, 60046), (2560, 205921), (2678, 57390), (2814, 468224), (2899, 186540), (2962, 639854), (2972, 639684), (3008, 53115), (3204, 164775), (3281, 624613), (3394, 320563), (3473, 146438), (3670, 125848)
PF operator: (2 t + 1)2 (1823 t4 + 1086 t3 + 129 t2 + 2 t - 1) (48606 t4 + 76117 t3 + 29559 t2 + 2943 t - 54) D4 + 2 (2 t + 1) (886087380 t9 + 2143791916 t8 + 1862886099 t7 + 767125506 t6 + 157881241 t5 + 14719415 t4 + 426893 t3 + 22347 t2 + 3078 t - 27) D3 + t (12405223320 t9 + 34068440044 t8 + 35015744398 t7 + 17873032677 t6 + 4877875141 t5 + 686588800 t4 + 39586077 t3 - 298636 t2 - 57009 t - 117) D2 + 2 t2 (8860873800 t8 + 23291645932 t7 + 22132234334 t6 + 10199323789 t5 + 2439535543 t4 + 283616711 t3 + 10529438 t2 - 420144 t - 16560) D + 24 t2 (354434952 t8 + 905898736 t7 + 815074040 t6 + 348647278 t5 + 75272554 t4 + 7415219 t3 + 146309 t2 - 14613 t - 252)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (54) * (D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (1823*t4 + 1086*t3 + 129*t2 + 2*t - 1) * (48606*t4 + 76117*t3 + 29559*t2 + 2943*t - 54)
Degree: 18
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
2/3 0 0 0
0 1/3 0 0
0 0 0 0
0 0 0 0
-0.4498724485125594?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.06483147584755245?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10534018289404621? - 0.08781370686353821?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10534018289404621? + 0.08781370686353821?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1.036751142219306?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3514683255262022?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1935344021960308?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.01575378764717137?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 57

First few terms: 1, 0, 2, 12, 54, 240, 1280, 7560, 42070, 235200
Fano variety: rank 3, number 19
Polytopes (PALP, grdb): (34, 544232), (56, 519917), (74, 430426), (163, 430073), (205, 255862), (269, 518747), (338, 428968), (363, 254859), (470, 543529), (535, 516881), (694, 254682), (1040, 253880), (1565, 537075), (1701, 401730)
PF operator: (2 t + 1) (8 t2 + 4 t + 1) (116 t3 - 12 t2 + 6 t - 1) (7648 t4 - 17768 t3 - 6486 t2 - 86 t + 19) D4 + (141946880 t10 - 267304448 t9 - 372822784 t8 - 166199616 t7 - 35961408 t6 - 3810548 t5 - 21588 t4 - 57822 t3 - 18850 t2 - 172 t + 19) D3 + 2 t (248407040 t9 - 548774144 t8 - 631773632 t7 - 230616144 t6 - 36858388 t5 - 2163646 t4 + 124122 t3 + 23881 t2 + 910 t + 5) D2 + 8 t2 (88716800 t8 - 215660096 t7 - 217013728 t6 - 66721772 t5 - 7851985 t4 - 74642 t3 + 62159 t2 + 4933 t + 152) D + 8 t2 (42584064 t8 - 109348224 t7 - 101046272 t6 - 27259592 t5 - 2388718 t4 + 103374 t3 + 29650 t2 + 1529 t + 38)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-19) * (D - 1) * D3
Symbol of PF operator: (2*t + 1) * (8*t2 + 4*t + 1) * (116*t3 - 12*t2 + 6*t - 1) * (7648*t4 - 17768*t3 - 6486*t2 - 86*t + 19)
Degree: 38
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.25000000000000000? - 0.25000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.25000000000000000? + 0.25000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1478807981577459?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.02221626114783845? - 0.2404189937024362?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.02221626114783845? + 0.2404189937024362?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2984725482609408?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.06911815747211484?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04552354386235770?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
2.645288919192874?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 58

First few terms: 1, 0, 2, 0, 6, 60, 20, 840, 70, 7560
Fano variety: rank 2, number 36
Polytopes (PALP, grdb): (7, 544387)
PF operator: (1061875 t4 - 699868 t3 + 142800 t2 - 6577 t - 310) (3061 t6 - 1000 t5 + 48 t4 + 50 t3 - 12 t2 - 4 t + 1) D4 + 2 (16251996875 t10 - 15764658964 t9 + 5724528800 t8 - 843573085 t7 - 9361170 t6 + 26093299 t5 - 7439189 t4 + 1610547 t3 - 200183 t2 + 7507 t + 155) D3 + t (113763978125 t9 - 109071633868 t8 + 38988411800 t7 - 5899848297 t6 + 218099170 t5 + 38226776 t4 - 4421943 t3 + 47810 t2 + 24752 t - 5) D2 + 2 t2 (81259984375 t8 - 77286120164 t7 + 27320532100 t6 - 4098227459 t5 + 197543850 t4 + 5610540 t3 - 56864 t2 - 47534 t + 8928) D + 8 t2 (9751198125 t8 - 9228219180 t7 + 3239220150 t6 - 480040085 t5 + 24240995 t4 - 127946 t3 + 119140 t2 - 8675 t + 620)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-310) * (D - 1) * D3
Symbol of PF operator: (1061875*t4 - 699868*t3 + 142800*t2 - 6577*t - 310) * (3061*t6 - 1000*t5 + 48*t4 + 50*t3 - 12*t2 - 4*t + 1)
Degree: 62
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.02786937434934579?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1268708166450793?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2800427750263534? - 0.06435590517196365?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2800427750263534? + 0.06435590517196365?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2578824231151267?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2163080267921322? - 0.1148916352743808?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2163080267921322? + 0.1148916352743808?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1365880706548830? - 0.2717782484829848?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1365880706548830? + 0.2717782484829848?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.2282481131384637? + 0.?e-93*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 59

First few terms: 1, 0, 10, 60, 510, 4920, 47080, 473760, 4908190, 51641520
Fano variety: rank 2, number 16
Polytopes (PALP, grdb): (809, 541429), (993, 420628), (1015, 251683), (1173, 539021), (1232, 506525), (1271, 413299), (1417, 246243), (1419, 246212), (1463, 251055), (1484, 674244), (1519, 61942), (1602, 500337), (1668, 495904), (1711, 402347), (1763, 400195), (1784, 236686), (1817, 236578), (1882, 672912), (1903, 672908), (1906, 672909), (1907, 672880), (1925, 61813), (1939, 12641), (1997, 533769), (2088, 388953), (2218, 222647), (2258, 231184), (2263, 234647), (2272, 662846), (2273, 662772), (2283, 662809), (2312, 669424), (2330, 61357), (2345, 61239), (2348, 12613), (2367, 532198), (2372, 531930), (2373, 532216), (2418, 482199), (2425, 481589), (2445, 479727), (2458, 372905), (2485, 371631), (2545, 364448), (2589, 204381), (2628, 219443), (2631, 652808), (2662, 662356), (2668, 662326), (2670, 662109), (2685, 59847), (2808, 469891), (2821, 355506), (2825, 354996), (2891, 185547), (2913, 186612), (2951, 184238), (2959, 194956), (2973, 639032), (2991, 638807), (3016, 57186), (3092, 464421), (3195, 325509), (3205, 166027), (3221, 165882), (3224, 165968), (3233, 161602), (3269, 622927), (3333, 526321), (3346, 525719), (3362, 456388), (3364, 456230), (3425, 316454), (3464, 146362), (3629, 305845), (3804, 292764), (3906, 442435), (3909, 442425), (4154, 521439)
PF operator: (3 t + 1) (2 t + 1)2 (356 t3 + 64 t2 + 5 t - 1) (4880 t4 + 13504 t3 + 5448 t2 + 448 t - 11) D4 + (2 t + 1) (104236800 t9 + 383462784 t8 + 362520832 t7 + 148645152 t6 + 29346080 t5 + 2587896 t4 + 87984 t3 + 10342 t2 + 951 t - 11) D3 + t (729657600 t9 + 2996139008 t8 + 3418219520 t7 + 1761941696 t6 + 462514336 t5 + 60353584 t4 + 3040416 t3 - 54044 t2 - 7539 t - 19) D2 + 8 t2 (130296000 t8 + 528597696 t7 + 551918288 t6 + 253046144 t5 + 57014116 t4 + 5926140 t3 + 157979 t2 - 12514 t - 561) D + 80 t2 (6254208 t8 + 25182144 t7 + 24720208 t6 + 10407040 t5 + 2080520 t4 + 176584 t3 + 1003 t2 - 513 t - 11)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (11) * (D - 1) * D3
Symbol of PF operator: (3*t + 1) * (2*t + 1)2 * (356*t3 + 64*t2 + 5*t - 1) * (4880*t4 + 13504*t3 + 5448*t2 + 448*t - 11)
Degree: 22
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.0803672819949194?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1300712814468979? - 0.1342883326054551?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1300712814468979? + 0.1342883326054551?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-2.299209232386283?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3413821883857916?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1462569671243527?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.01963527314232817?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 60

First few terms: 1, 0, 6, 48, 282, 2400, 22020, 184800, 1684410, 15798720
Fano variety: rank 2, number 18
Polytopes (PALP, grdb): (448, 547194), (627, 425408), (701, 61975), (807, 541378), (908, 420931), (1032, 251675), (1072, 253847), (1089, 674630), (1249, 506750), (1372, 411847), (1440, 251434), (1465, 251577), (1477, 672930), (1782, 236727), (1875, 669445), (1922, 61366), (1986, 534504), (1998, 533766), (2019, 491633), (2084, 388931), (2110, 387994), (2279, 662688), (2281, 662771), (2576, 205713), (2640, 652547), (2827, 355343), (3094, 464210), (3096, 464237), (3742, 524219)
PF operator: (2 t + 1)2 (464 t4 + 432 t3 + 32 t2 + 4 t - 1) (672 t4 - 1536 t3 - 1048 t2 - 100 t + 3) D4 + (2 t + 1) (6236160 t9 - 9765888 t8 - 26286336 t7 - 16111104 t6 - 3845120 t5 - 335616 t4 - 3704 t3 - 2204 t2 - 206 t + 3) D3 + 4 t (10913280 t9 - 17178624 t8 - 53566720 t7 - 41464832 t6 - 13910224 t5 - 2073984 t4 - 103004 t3 + 4068 t2 + 294 t + 1) D2 + 48 t2 (1299200 t8 - 2493952 t7 - 6141600 t6 - 4113856 t5 - 1174928 t4 - 139104 t3 - 3207 t2 + 433 t + 15) D + 48 t2 (623616 t8 - 1330176 t7 - 2853696 t6 - 1729088 t5 - 436848 t4 - 42320 t3 + 118 t2 + 160 t + 3)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-3) * (D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (464*t4 + 432*t3 + 32*t2 + 4*t - 1) * (672*t4 - 1536*t3 - 1048*t2 - 100*t + 3)
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.4395402242889143?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1494502524648547?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02383855170175640?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
2.850866210766299?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.866222971262329?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.09161855329933100?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.07821503239781164? - 0.1450468962686322?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.07821503239781164? + 0.1450468962686322?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 61

First few terms: 1, 0, 2, 18, 30, 240, 1730, 5880, 41230, 262080
Fano variety: rank 2, number 27
Polytopes (PALP, grdb): (70, 430438), (156, 430089), (164, 430087), (199, 255736), (200, 255739), (304, 428956), (374, 254899), (947, 420849), (1333, 413217)
PF operator: (11 t3 + 10 t2 + 5 t - 1) (37 t3 + 34 t2 + 7 t + 1) (3328 t4 - 1716 t3 - 3203 t2 - 444 t + 19) D4 + (13544960 t10 + 10887708 t9 - 16478156 t8 - 29405720 t7 - 18142992 t6 - 5062465 t5 - 478620 t4 + 1710 t3 - 8329 t2 - 945 t + 19) D3 + t (47407360 t9 + 20885748 t8 - 76227493 t7 - 93829620 t6 - 45107699 t5 - 9737557 t4 - 721695 t3 + 43954 t2 + 2151 t + 7) D2 + 2 t2 (33862400 t8 + 6553794 t7 - 60994211 t6 - 60252644 t5 - 23896058 t4 - 4071433 t3 - 192119 t2 + 26555 t + 684) D + 4 t2 (8126976 t8 + 332982 t7 - 15415554 t6 - 13299202 t5 - 4574483 t4 - 635648 t3 - 12999 t2 + 5135 t + 76)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-19) * (D - 1) * D3
Symbol of PF operator: (11*t3 + 10*t2 + 5*t - 1) * (37*t3 + 34*t2 + 7*t + 1) * (3328*t4 - 1716*t3 - 3203*t2 - 444*t + 19)
Degree: 38
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.1486097953852143?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.5288503522380617? - 0.5762355809511647?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.5288503522380617? + 0.5762355809511647?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.704926396254529?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10699626133219501? - 0.1639878392530915?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10699626133219501? + 0.1639878392530915?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.640310511134413?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1975697009081272?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03420710902591774?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
1.319298103016622?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 62

First few terms: 1, 0, 22, 174, 2514, 34200, 501070, 7586880, 117858370, 1870811040
Fano variety: rank 2, number 9
Polytopes (PALP, grdb): (2093, 388975), (2094, 388959), (2183, 223152), (2196, 223136), (2461, 372774), (2470, 372936), (2566, 205948), (2572, 205964), (2605, 204826), (2633, 652813), (2634, 652811), (2829, 355346), (2830, 355485), (2895, 186614), (2900, 186305), (2906, 186665), (2921, 186624), (2964, 639874), (2967, 639888), (2987, 639688), (3012, 53111), (3013, 57324), (3099, 463651), (3130, 338225), (3135, 338159), (3212, 166385), (3216, 165868), (3227, 166483), (3241, 163424), (3263, 625376), (3264, 625356), (3274, 624507), (3295, 47424), (3308, 11546), (3311, 1454), (3332, 526278), (3403, 321254), (3449, 147431), (3454, 145662), (3461, 145189), (3474, 146747), (3475, 146675), (3478, 134479), (3479, 140654), (3506, 610781), (3517, 608909), (3530, 40830), (3532, 41052), (3537, 41139), (3620, 306074), (3622, 306881), (3631, 306039), (3644, 299287), (3671, 127551), (3679, 127689), (3685, 125153), (3686, 125313), (3719, 34364), (3781, 446309), (3825, 112300), (3829, 108209), (3832, 109121), (3835, 111932), (3849, 585571), (3859, 580257), (3864, 582645), (3897, 442952), (3933, 283208), (3942, 281839), (3973, 94699), (3988, 569725), (4063, 83456), (4066, 85150), (4124, 268995), (4136, 76930), (4140, 77945), (4221, 261560)
PF operator: (3 t + 1)2 (2207 t4 + 1280 t3 + 202 t2 + 4 t - 1) (58229 t4 + 49871 t3 + 13309 t2 + 1063 t - 16) D4 + 2 (3 t + 1) (1927671045 t9 + 2975853508 t8 + 1854187280 t7 + 594559283 t6 + 102424118 t5 + 8775202 t4 + 293482 t3 + 9155 t2 + 1111 t - 8) D3 + t (40481091945 t9 + 69451424553 t8 + 49152182076 t7 + 18475102414 t6 + 3923559726 t5 + 453227034 t4 + 22953224 t3 - 49938 t2 - 28323 t - 55) D2 + 2 t2 (28915065675 t8 + 46433922129 t7 + 30315611783 t6 + 10323037649 t5 + 1929972478 t4 + 184727590 t3 + 6130994 t2 - 179346 t - 8064) D + 4 t2 (6939615762 t8 + 10673607168 t7 + 6593759843 t6 + 2091272087 t5 + 354617645 t4 + 28891001 t3 + 551020 t2 - 41302 t - 704)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (16) * (D - 1) * D3
Symbol of PF operator: (3*t + 1)2 * (2207*t4 + 1280*t3 + 202*t2 + 4*t - 1) * (58229*t4 + 49871*t3 + 13309*t2 + 1063*t - 16)
Degree: 16
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.3348969649734098?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.05333469836859003?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1492052735847673? - 0.05572454198855721?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1492052735847673? + 0.05572454198855721?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4175688141938409?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.012874765172192700?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2258846126459191? - 0.00932803894663456?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2258846126459191? + 0.00932803894663456?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 63

First few terms: 1, 0, 4, 12, 60, 360, 1660, 10920, 57820, 361200
Fano variety: rank 3, number 20
Polytopes (PALP, grdb): (43, 520049), (79, 430424), (173, 430080), (207, 255869), (210, 255876), (254, 518681), (258, 518659), (312, 428884), (403, 255692), (415, 62076), (547, 516473), (666, 425307), (692, 254719), (714, 254575), (887, 512725), (997, 420335), (1039, 253620), (1163, 539015), (1348, 411764), (1430, 245971), (1565, 537075), (1640, 500236), (2792, 472378)
PF operator: (t + 1) (7 t - 1) (5 t2 + 2 t + 1) (20 t2 + 8 t + 1) (25390 t4 + 15746 t3 - 277 t2 - 806 t + 19) D4 + (177730000 t10 + 342137200 t9 + 237604410 t8 + 67608452 t7 + 2082003 t6 - 3678234 t5 - 725109 t4 + 28708 t3 + 2757 t2 - 1726 t + 19) D3 + 2 t (311027500 t9 + 520479100 t8 + 294974830 t7 + 47257971 t6 - 13483595 t5 - 6189401 t4 - 880745 t3 - 8242 t2 + 2162 t + 4) D2 + 2 t2 (444325000 t8 + 667516600 t7 + 315858480 t6 + 17995496 t5 - 26312028 t4 - 7035037 t3 - 666864 t2 + 15849 t + 1368) D + 8 t2 (53319000 t8 + 74467200 t7 + 30545640 t6 - 815700 t5 - 3379880 t4 - 690259 t3 - 46216 t2 + 2587 t + 76)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-19) * (D - 1) * D3
Symbol of PF operator: (t + 1) * (7*t - 1) * (5*t2 + 2*t + 1) * (20*t2 + 8*t + 1) * (25390*t4 + 15746*t3 - 277*t2 - 806*t + 19)
Degree: 38
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.1428571428571429?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000? - 0.10000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000? + 0.10000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000? - 0.4000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2000000000000000? + 0.4000000000000000?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.5171572984390206?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3186644986197956?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02364923982559128?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1920071377767461?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 64

First few terms: 1, 0, 12, 30, 396, 2160, 20370, 149520, 1315020, 10864560
Fano variety: rank 6, number 1
Polytopes (PALP, grdb): (283, 518147), (356, 429574), (1230, 505191), (1352, 411509)
PF operator: (t + 1) (5 t + 1) (11 t2 + 9 t - 1) (31 t2 + t - 1) (4116 t4 + 1092 t3 + 911 t2 + 46 t - 3) D4 + (70177800 t10 + 128401980 t9 + 90520212 t8 + 44261534 t7 + 13995814 t6 + 701719 t5 - 215470 t4 - 15509 t3 - 1769 t2 - 74 t + 3) D3 + t (245622300 t9 + 364126980 t8 + 240070291 t7 + 127737312 t6 + 35675145 t5 + 1945339 t4 - 130446 t3 - 5829 t2 + 1560 t + 4) D2 + 2 t2 (175444500 t8 + 218669010 t7 + 142713267 t6 + 77482664 t5 + 18604454 t4 + 1026963 t3 - 6078 t2 - 620 t + 552) D + 12 t2 (14035560 t8 + 15446802 t7 + 10218276 t6 + 5496760 t5 + 1151779 t4 + 65670 t3 + 1728 t2 + 53 t + 24)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-3) * (D - 1) * D3
Symbol of PF operator: (t + 1) * (5*t + 1) * (11*t2 + 9*t - 1) * (31*t2 + t - 1) * (4116*t4 + 1092*t3 + 911*t2 + 46*t - 3)
Degree: 30
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.2000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1964570949596605?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1641990304435315?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.9172881767044976?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.09910635852267948?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.09271532597695679?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03689727041342726?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10474403344272503? - 0.4495417700877398?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.10474403344272503? + 0.4495417700877398?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 65

First few terms: 1, 0, 6, 18, 114, 720, 4290, 28980, 193410, 1320480
Fano variety: rank 4, number 6
Polytopes (PALP, grdb): (184, 429942), (423, 62055), (623, 425176), (668, 254757), (739, 674658), (870, 512540), (961, 420256), (1009, 424127), (1059, 253743), (1091, 674595), (1263, 506666), (1358, 412182), (1442, 250852), (2230, 222362), (2520, 370274), (2788, 472024)
PF operator: (t - 1) (3 t + 1) (19 t2 + 7 t + 1) (25 t2 + 5 t - 1) (10995 t4 + 14478 t3 + 5148 t2 + 455 t - 17) D4 + (156678750 t10 + 215397900 t9 + 21764280 t8 - 85744746 t7 - 51293046 t6 - 12202008 t5 - 1313102 t4 - 83249 t3 - 11814 t2 - 1012 t + 17) D3 + t (548375625 t9 + 815091150 t8 + 218888730 t7 - 145640001 t6 - 95983781 t5 - 19790576 t4 - 1363035 t3 + 35973 t2 + 5556 t + 13) D2 + 2 t2 (391696875 t8 + 611932950 t7 + 218418915 t6 - 45270873 t5 - 40268322 t4 - 7443099 t3 - 301700 t2 + 31342 t + 1768) D + 12 t2 (31335750 t8 + 50423400 t7 + 20350995 t6 - 1143630 t5 - 2123787 t4 - 359871 t3 - 4186 t2 + 2303 t + 68)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-17) * (D - 1) * D3
Symbol of PF operator: (t - 1) * (3*t + 1) * (19*t2 + 7*t + 1) * (25*t2 + 5*t - 1) * (10995*t4 + 14478*t3 + 5148*t2 + 455*t - 17)
Degree: 34
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3236067977499790?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1236067977499790?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1842105263157895? - 0.1367408532291219?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1842105263157895? + 0.1367408532291219?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.7981700620148488?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3450455878265713?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2014352973507193?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02787059248545453?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 66

First few terms: 1, 0, 4, 24, 132, 780, 5800, 40320, 283780, 2105880
Fano variety: rank 2, number 24
Polytopes (PALP, grdb): (321, 429049), (367, 254887), (411, 62089), (617, 425448), (630, 425337), (641, 425340), (705, 61967), (972, 420520), (1034, 251654), (1084, 674626), (1085, 674625), (1295, 413098), (1342, 412982), (1410, 246236), (1491, 674235), (1845, 235643), (1850, 236271), (2160, 387220), (2241, 221583), (2472, 372821), (2504, 370044)
PF operator: (23 t2 + 6 t - 1) (61 t4 + 78 t3 + 35 t2 + 6 t + 1) (4019 t4 - 4904 t3 - 3282 t2 - 209 t + 10) D4 + 2 (28193285 t10 - 5287816 t9 - 60469026 t8 - 52053827 t7 - 18511234 t6 - 2941695 t5 - 169363 t4 - 8557 t3 - 4443 t2 - 209 t + 5) D3 + t (197352995 t9 - 108471992 t8 - 437337374 t7 - 300321015 t6 - 85611618 t5 - 9982548 t4 - 258889 t3 + 33634 t2 + 2254 t + 9) D2 + 2 t2 (140966425 t8 - 112187816 t7 - 310169814 t6 - 180113109 t5 - 42337620 t4 - 3556236 t3 + 55816 t2 + 18040 t + 720) D + 8 t2 (16915971 t8 - 16035000 t7 - 36701756 t6 - 18971499 t5 - 3821370 t4 - 229146 t3 + 15768 t2 + 1602 t + 40)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-10) * (D - 1) * D3
Symbol of PF operator: (23*t2 + 6*t - 1) * (61*t4 + 78*t3 + 35*t2 + 6*t + 1) * (4019*t4 - 4904*t3 - 3282*t2 - 209*t + 10)
Degree: 30
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.3763849673692339?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.11551540215184262?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4139596055827404?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1112477310231401?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03152468555039319?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
1.713886681908934?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.575220610952786? - 0.2293505091273210?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.575220610952786? + 0.2293505091273210?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.06412365134229680? - 0.1965636238814194?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.06412365134229680? + 0.1965636238814194?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 67

First few terms: 1, 0, 10, 36, 366, 2640, 23320, 200760, 1815310, 16611840
Fano variety: rank 3, number 10
Polytopes (PALP, grdb): (266, 518758), (335, 429060), (341, 428575), (631, 425271), (820, 540280), (889, 512668), (921, 420848), (968, 419980), (975, 420522), (982, 420617), (1049, 254003), (1077, 253434), (1099, 674600), (1112, 61961), (1265, 503547), (1462, 251066), (1468, 251408), (1485, 674229), (1499, 674080), (1511, 674147), (1514, 673746), (1526, 61889), (1554, 537119), (1576, 536306), (1607, 500133), (1633, 500125), (1673, 497292), (1677, 498747), (1744, 400004), (1770, 400426), (1773, 408230), (1803, 236389), (1861, 245758), (1880, 672834), (1881, 672698), (1894, 672796), (1895, 672899), (1901, 672795), (1902, 672679), (1920, 670988), (1927, 61752), (1935, 61793), (1940, 12636), (2168, 385207), (2169, 385054), (2205, 221373), (2265, 231109), (2323, 667043), (2394, 531025), (2451, 475996), (2503, 371265), (2536, 370480), (2544, 361261), (2567, 205418), (2587, 205060), (2590, 202591), (2611, 202529), (2615, 202546), (2636, 652240), (2658, 660370), (2672, 660322), (2673, 660594), (2675, 662247), (2694, 59490), (2775, 472376), (2810, 470080), (2850, 352406), (2868, 353584), (2883, 345957), (2943, 178413), (2944, 179896), (2956, 181640), (3109, 464064), (3167, 334859), (3168, 333898), (3491, 134607), (3501, 136423), (3561, 525456), (3570, 524845), (3589, 451154), (3660, 299797), (4039, 438565)
PF operator: (t - 1) (2 t + 1) (3 t + 1) (212 t3 + 76 t2 + 2 t - 1) (32000 t4 + 21531 t3 + 5117 t2 + 423 t - 13) D4 + (407040000 t10 + 359821752 t9 - 23158818 t8 - 140881698 t7 - 71302560 t6 - 17135645 t5 - 2186397 t4 - 152290 t3 - 10612 t2 - 885 t + 13) D3 + 2 t (712320000 t9 + 639522356 t8 + 92769431 t7 - 97546405 t6 - 53857740 t5 - 11596194 t4 - 980424 t3 + 12754 t2 + 3850 t + 10) D2 + 4 t2 (508800000 t8 + 461578338 t7 + 114351033 t6 - 22248339 t5 - 18320801 t4 - 3792293 t3 - 218028 t2 + 16946 t + 1196) D + 8 t2 (122112000 t8 + 111486870 t7 + 33266008 t6 - 20572 t5 - 2288553 t4 - 469739 t3 - 10277 t2 + 3969 t + 130)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-13) * (D - 1) * D3
Symbol of PF operator: (t - 1) * (2*t + 1) * (3*t + 1) * (212*t3 + 76*t2 + 2*t - 1) * (32000*t4 + 21531*t3 + 5117*t2 + 423*t - 13)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3333333333333334?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.0923574162833049?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2254239911605204? - 0.01603562462534628?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2254239911605204? + 0.01603562462534628?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3049384737258555?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02342067761116844?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1956629769426565? - 0.1363777659226076?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1956629769426565? + 0.1363777659226076?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 68

First few terms: 1, 0, 2, 36, 198, 840, 9200, 79800, 520870, 4289040
Fano variety: rank 3, number 9
Polytopes (PALP, grdb): (288, 518000), (343, 428413), (353, 428577), (373, 254900), (446, 547191), (1384, 246275), (1581, 500508), (2719, 529908)
PF operator: (2 t - 1) (2 t + 1)2 (440 t3 - 12 t2 + 6 t - 1) (3328 t4 + 19264 t3 - 10272 t2 - 2627 t + 91) D4 + (2 t + 1) (58572800 t9 + 364431360 t8 - 270246912 t7 - 58693152 t6 + 26792304 t5 + 5944488 t4 - 352344 t3 + 24834 t2 + 4890 t - 91) D3 + t (410009600 t9 + 2890936320 t8 - 1039609856 t7 - 1253849408 t6 - 3849840 t5 + 85496804 t4 + 8594840 t3 - 530988 t2 - 10664 t - 105) D2 + 4 t2 (146432000 t8 + 1065241600 t7 - 497963520 t6 - 419641904 t5 + 408428 t4 + 21997719 t3 + 1123412 t2 - 122003 t - 1872) D + 8 t2 (35143680 t8 + 260514816 t7 - 140159488 t6 - 95966032 t5 + 590692 t4 + 4419597 t3 + 36074 t2 - 19460 t - 182)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (91) * (D - 1) * D3
Symbol of PF operator: (2*t - 1) * (2*t + 1)2 * (440*t3 - 12*t2 + 6*t - 1) * (3328*t4 + 19264*t3 - 10272*t2 - 2627*t + 91)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.50000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
3/4 0 0 0
0 1/4 0 0
0 0 0 0
0 0 0 0
0.10460769380026524?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.03866748326376898? - 0.1422357967354781?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.03866748326376898? + 0.1422357967354781?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-6.261178960877232?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2142208160169824?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03108370384913574?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.6558545345835398?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 69

First few terms: 1, 0, 6, 12, 114, 480, 3480, 19320, 131250, 819840
Fano variety: rank 4, number 7
Polytopes (PALP, grdb): (215, 255837), (217, 255835), (390, 255547), (395, 255714), (396, 255695), (424, 62056), (579, 516550), (674, 427168), (691, 254713), (717, 254626), (724, 254603), (818, 541426), (827, 513250), (952, 419952), (1055, 253608), (1058, 253965), (1242, 506663), (1349, 409714), (1444, 250763), (1466, 250714), (1666, 498739), (2041, 491247), (2055, 491513), (2063, 491122), (2153, 387094), (2236, 220607), (2727, 529930), (2800, 473154)
PF operator: (28 t2 + 4 t - 1) (31 t4 + 6 t3 - 7 t2 - 6 t - 1) (21774 t4 + 17895 t3 + 5321 t2 + 281 t - 18) D4 + 2 (94499160 t10 + 109273260 t9 + 38869158 t8 - 7430361 t7 - 9785048 t6 - 3133861 t5 - 460375 t4 - 45601 t3 - 6221 t2 - 308 t + 9) D3 + t (661494120 t9 + 764007420 t8 + 314725402 t7 + 11868353 t6 - 25589543 t5 - 7112212 t4 - 491679 t3 + 28928 t2 + 5175 t + 11) D2 + 6 t2 (157498600 t8 + 181759940 t7 + 80227614 t6 + 9003059 t5 - 2246387 t4 - 550807 t3 + 9246 t2 + 6948 t + 576) D + 24 t2 (18899832 t8 + 21800328 t7 + 9956448 t6 + 1396778 t5 - 78798 t4 - 13337 t3 + 5753 t2 + 727 t + 36)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-18) * (D - 1) * D3
Symbol of PF operator: (28*t2 + 4*t - 1) * (31*t4 + 6*t3 - 7*t2 - 6*t - 1) * (21774*t4 + 17895*t3 + 5321*t2 + 281*t - 18)
Degree: 36
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.2734590803390136?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1306019374818708?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.2229935155751762?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.6736568300421807?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3221058507818894? - 0.3331441951267771?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3221058507818894? + 0.3331441951267771?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1239986852497516?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.03615766602170578?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3670053652826429? - 0.2229088115583746?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3670053652826429? + 0.2229088115583746?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 70

First few terms: 1, 0, 0, 12, 24, 0, 540, 2520, 2520, 33600
Fano variety: rank 2, number 30
Polytopes (PALP, grdb): (13, 544343), (22, 520157)
PF operator: (t + 1) (2604 t4 - 8792 t3 - 5043 t2 - 258 t + 23) (688 t5 + 384 t4 + 120 t3 - 4 t2 - t - 1) D4 + (17915520 t10 - 45601696 t9 - 115185632 t8 - 79497312 t7 - 24043768 t6 - 3332178 t5 - 23202 t4 - 18999 t3 - 15331 t2 - 585 t + 23) D3 + t (62704320 t9 - 192174976 t8 - 387111760 t7 - 227214936 t6 - 54853708 t5 - 5662414 t4 + 5833 t3 + 45311 t2 + 221 t + 5) D2 + 2 t2 (44788800 t8 - 153087088 t7 - 264384368 t6 - 135833124 t5 - 26909836 t4 - 1852796 t3 + 67617 t2 + 21431 t + 46) D + 24 t3 (1791552 t7 - 6514312 t6 - 10219184 t5 - 4759830 t4 - 801500 t3 - 31558 t2 + 3705 t + 621)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-23) * (D - 1) * D3
Symbol of PF operator: (t + 1) * (2604*t4 - 8792*t3 - 5043*t2 - 258*t + 23) * (688*t5 + 384*t4 + 120*t3 - 4*t2 - t - 1)
Degree: 46
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-1
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.4362123446665959?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1146334064218590?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.04550482151104438?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
3.881685015598916?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.1834216898534190?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3026784923869537? - 0.3059115494404873?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.3026784923869537? + 0.3059115494404873?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.0681021199816163? - 0.1953222594174726?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.0681021199816163? + 0.1953222594174726?*I
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 71

First few terms: 1, 0, 22, 96, 1434, 12480, 148900, 1606080, 18905530, 220617600
Fano variety: rank 7, number 1
Polytopes (PALP, grdb): (453, 547195), (505, 542498), (509, 542505), (1990, 534507), (2022, 491583), (2040, 491586)
PF operator: (10 t - 1) (14 t - 1) (2 t + 1)2 (6 t + 1)2 (9488 t4 + 3280 t3 + 1288 t2 + 68 t - 3) D4 + (2 t + 1) (6 t + 1) (159398400 t8 + 93253120 t7 + 35993280 t6 + 7119552 t5 - 214032 t4 - 34080 t3 - 1308 t2 - 124 t + 3) D3 + 8 t (836841600 t9 + 894506880 t8 + 476210784 t7 + 164230016 t6 + 28668680 t5 + 1534232 t4 - 44718 t3 - 2672 t2 + 361 t + 1) D2 + 16 t2 (597744000 t8 + 564635520 t7 + 295479856 t6 + 98414000 t5 + 15207088 t4 + 737836 t3 - 10833 t2 - 566 t + 129) D + 16 t2 (286917120 t8 + 248997888 t7 + 129874976 t6 + 41692064 t5 + 5784672 t4 + 260504 t3 - 1366 t2 + 4 t + 33)
PF degree (N, r): (4,10)
Reduced PF degree (N, r'): (4,6)
PF operator at t=0: (-3) * (D - 1) * D3
Symbol of PF operator: (10*t - 1) * (14*t - 1) * (2*t + 1)2 * (6*t + 1)2 * (9488*t4 + 3280*t3 + 1288*t2 + 68*t - 3)
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
0.10000000000000000?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.07142857142857143?
1/2 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1666666666666667?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.50000000000000000?
0 1 0 0
0 0 1 0
0 0 0 0
0 0 0 0
-0.0939559571304066?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0.02805628686550481?
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1399000805505171? - 0.3168212524065712?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
-0.1399000805505171? + 0.3168212524065712?*I
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
+Infinity
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
?

Period sequence 72

First few terms: 1, 0, 104, 1752, 56424, 1677120, 54502520, 1820426160, 62621659240, 2199388148160
Fano variety: ?
Polytopes (PALP, grdb): (3926, 283519)
PF operator: (8 t - 1) (8 t + 1)4 (968 t2 + 143 t - 4) (27590112 t4 + 5579336 t3 + 246376 t2 - 386 t + 5) D5 + 2 (8 t + 1)3 (12819469639680 t8 + 3522722306048 t7 + 157594188928 t6 - 18303493856 t5 - 986020260 t4 - 21542776 t3 - 1776757 t2 + 1735 t - 15) D4 + (8 t + 1)2 (1162298580664320 t9 + 397881912524800 t8 + 41230692366336 t7 + 800677542656 t6 - 68808188704 t5 - 1995464768 t4 + 97931652 t3 + 2776626 t2 + 797 t + 10) D3 + 2 t (8 t + 1) (12306690854092800 t9 + 5225275681669120 t8 + 802804114489344 t7 + 51253429005824 t6 + 873847297984 t5 - 30678544560 t4 - 790152304 t3 - 4112450 t2 - 176583 t - 64) D2 + 16 t2 (14986814640095232 t9 + 7781658806845440 t8 + 1581809433780224 t7 + 156664964855296 t6 + 7436283217056 t5 + 116928684344 t4 - 1742190206 t3 - 43094835 t2 - 1092226 t - 9860) D + 96 t2 (1093928075919360 t9 + 546400605831168 t8 + 106497993564160 t7 + 10116989578752 t6 + 466554785072 t5 + 7895062000 t4 - 44398854 t3 - 670723 t2 - 43009 t - 260)
PF degree (N, r): (5,11)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (10) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (8*t - 1) * (8*t + 1)4 * (968*t2 + 143*t - 4) * (27590112*t4 + 5579336*t3 + 246376*t2 - 386*t + 5)
Degree: 10
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.12500000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.12500000000000000?
0 0 0 0 0
0 1/2 1 0 0
0 0 1/2 0 0
0 0 0 1/2 1
0 0 0 0 1/2
-0.1717823178387164?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02405504511144367?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1354688184136349?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.06868444199666280?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.000965478499784245? - 0.004306356457327539?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.000965478499784245? + 0.004306356457327539?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 73

First few terms: 1, 0, 4, 12, 36, 240, 940, 4200, 25060, 104160
Fano variety: ?
Polytopes (PALP, grdb): (35, 544230), (64, 519913), (466, 543539), (544, 516865)
PF operator: (4 t - 1) (4 t + 1)2 (448 t3 + 72 t2 - t - 4) (103459328 t6 + 39705344 t5 + 3481184 t4 - 747456 t3 - 3396 t2 + 1096 t - 25) D5 + 2 (4 t + 1) (4264179662848 t11 + 2116490657792 t10 + 225305708544 t9 - 70508315136 t8 - 10853967232 t7 - 389935008 t6 - 305718192 t5 - 48379764 t4 + 6359556 t3 + 47947 t2 - 5805 t + 75) D4 + (148319292620800 t12 + 105704669249536 t11 + 25846678036480 t10 + 580360202240 t9 - 507076398592 t8 + 6597131648 t7 + 15776774336 t6 + 1880718160 t5 + 105315760 t4 - 10906408 t3 - 37728 t2 + 4443 t - 50) D3 + 2 t (152027274936320 t11 + 104915040534528 t10 + 25576081807360 t9 + 569758758912 t8 - 433064720768 t7 - 8150054976 t6 + 1837699696 t5 - 201235032 t4 - 11604384 t3 + 107106 t2 + 18359 t + 4) D2 + 8 t2 (36709024923648 t10 + 24800249815040 t9 + 5966272990720 t8 + 63333618432 t7 - 107477955296 t6 - 3837858432 t5 - 171670284 t4 - 57188564 t3 - 1811971 t2 + 61332 t + 2600) D + 48 t2 (2224789389312 t10 + 1482772307968 t9 + 351746221568 t8 - 1077280512 t7 - 7058128224 t6 - 358444768 t5 - 33539004 t4 - 3293504 t3 - 76319 t2 + 4533 t + 100)
PF degree (N, r): (5,12)
Reduced PF degree (N, r'): (5,6)
PF operator at t=0: (-50) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (4*t - 1) * (4*t + 1)2 * (448*t3 + 72*t2 - t - 4) * (103459328*t6 + 39705344*t5 + 3481184*t4 - 747456*t3 - 3396*t2 + 1096*t - 25)
Degree: 50
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.25000000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.25000000000000000?
1/2 0 0 0 0
0 1/2 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.1681899403966611?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1644521130554734? - 0.1613745390086585?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1644521130554734? + 0.1613745390086585?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.04636714800529186?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.0877240780527499?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2359143077117133? - 0.1445605802493721?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2359143077117133? + 0.1445605802493721?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02334718089424054? - 0.01519660013530573?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02334718089424054? + 0.01519660013530573?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 74

First few terms: 1, 0, 2, 0, 54, 120, 740, 1680, 18550, 75600
Fano variety: ?
Polytopes (PALP, grdb): (40, 544218), (291, 429084), (796, 541737)
PF operator: (2 t + 1)2 (6 t - 1)2 (404 t3 + 52 t2 + 13 t + 4) (19213632 t5 + 669744 t4 - 873792 t3 + 79592 t2 - 1332 t - 21) D5 + 2 (2 t + 1) (6 t - 1) (698607659520 t10 + 226873087488 t9 - 21798483840 t8 - 4834639296 t7 + 952721312 t6 + 95150352 t5 + 17405320 t4 - 7538708 t3 + 539156 t2 - 6891 t - 63) D4 + (95010641694720 t12 + 50017100313600 t11 - 3274498842624 t10 - 3048089700096 t9 + 205156993536 t8 + 63294257024 t7 - 10508680576 t6 + 953534688 t5 + 42037424 t4 - 14125420 t3 + 763192 t2 - 7191 t - 42) D3 + 2 t (125749378713600 t11 + 53889338050560 t10 - 6258742428672 t9 - 2999538554112 t8 + 342831009792 t7 + 42935358592 t6 - 7109208256 t5 + 151494592 t4 - 3313160 t3 + 303344 t2 + 5936 t + 9) D2 + 32 t2 (9570924935424 t10 + 3436095447936 t9 - 555001068672 t8 - 178194435264 t7 + 29554968192 t6 + 1035616968 t5 - 363643624 t4 + 5371000 t3 + 290019 t2 + 4329 t + 252) D + 96 t2 (1397215319040 t10 + 438413326848 t9 - 87101180928 t8 - 21619625472 t7 + 4602377184 t6 - 53207568 t5 - 37025792 t4 + 578840 t3 + 51210 t2 + 57 t + 21)
PF degree (N, r): (5,12)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (-42) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (6*t - 1)2 * (404*t3 + 52*t2 + 13*t + 4) * (19213632*t5 + 669744*t4 - 873792*t3 + 79592*t2 - 1332*t - 21)
Degree: 42
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.1666666666666667?
1/2 0 0 0 0
0 1/2 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.50000000000000000?
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
-0.2059297198228078?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.03860842426783952? - 0.2158445074165411?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.03860842426783952? + 0.2158445074165411?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2668681414032541?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.00963231861198210?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.03934538730461547?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.10114866085691420? - 0.02399025522094124?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.10114866085691420? + 0.02399025522094124?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 75

First few terms: 1, 0, 24, 120, 1896, 19200, 255480, 3176880, 42635880, 571448640
Fano variety: ?
Polytopes (PALP, grdb): (1167, 539003), (1216, 507648), (1233, 506818), (1251, 506553), (1252, 506828), (1286, 413305), (1299, 413257), (1323, 413262), (1973, 545859), (2026, 490442), (2097, 388876), (2101, 388943), (2737, 530243), (2776, 473967), (2777, 472341), (2791, 472855), (2818, 355607), (2889, 186748), (3354, 458626), (4014, 522631)
PF operator: (8 t - 1) (8 t + 1) (16 t - 1) (17 t + 4) (4 t + 1)2 (1768095744 t8 - 1218490368 t7 - 1107242496 t6 - 293735296 t5 - 35334752 t4 - 2209624 t3 + 17428 t2 - 706 t - 5) D5 + 2 (4 t + 1) (707917246365696 t13 - 375939322085376 t12 - 650469977358336 t11 - 273129521741824 t10 - 55116867379200 t9 - 5871228324864 t8 - 223173690368 t7 + 30158457984 t6 + 4290856800 t5 + 264046324 t4 + 21742560 t3 - 119331 t2 + 3545 t + 15) D4 + (24623208569241600 t14 - 11530124415467520 t13 - 26527948420939776 t12 - 13950247375470592 t11 - 3763980064980992 t10 - 606006107398144 t9 - 58552690632704 t8 - 2767663343104 t7 - 56684698496 t6 - 11780940608 t5 - 949248880 t4 - 39228344 t3 + 88058 t2 - 4613 t - 10) D3 + 2 t (25238788783472640 t13 - 15056923137146880 t12 - 27395726122156032 t11 - 13474649452838912 t10 - 3489582666973184 t9 - 548274180501504 t8 - 51444180560896 t7 - 2250026661376 t6 - 27293795136 t5 - 1285701040 t4 + 78416720 t3 + 3049434 t2 + 24475 t + 16) D2 + 48 t2 (1015707353481216 t12 - 692835663740928 t11 - 1108013275152384 t10 - 524358483673088 t9 - 131977235763200 t8 - 20219580144128 t7 - 1797183287424 t6 - 70484929120 t5 - 1140354128 t4 - 43436654 t3 + 3329349 t2 + 57934 t + 580) D + 288 t2 (61558021423104 t12 - 45447106265088 t11 - 67513328861184 t10 - 31309723910144 t9 - 7743818430464 t8 - 1164477799680 t7 - 98549278144 t6 - 3485688736 t5 - 63961280 t4 - 1787138 t3 + 150177 t2 + 1907 t + 20)
PF degree (N, r): (5,14)
Reduced PF degree (N, r'): (5,6)
PF operator at t=0: (-10) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (8*t - 1) * (8*t + 1) * (16*t - 1) * (17*t + 4) * (4*t + 1)2 * (1768095744*t8 - 1218490368*t7 - 1107242496*t6 - 293735296*t5 - 35334752*t4 - 2209624*t3 + 17428*t2 - 706*t - 5)
Degree: 20
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.12500000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.062500000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.12500000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2352941176470589?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.25000000000000000?
0 1 0 0 0
0 0 1 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.005732750667216462?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1.286271004921525?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2265082662764093? - 0.08762597006795455?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2265082662764093? + 0.08762597006795455?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.0774554982876823? - 0.11394392596364251?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.0774554982876823? + 0.11394392596364251?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.00827166957304325? - 0.01655574096080758?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.00827166957304325? + 0.01655574096080758?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 76

First few terms: 1, 0, 6, 12, 138, 480, 4560, 21840, 180810, 1031520
Fano variety: ?
Polytopes (PALP, grdb): (127, 519609), (260, 518755), (326, 429061), (331, 429042), (360, 254911), (539, 516907), (604, 425463), (812, 541418), (861, 513246), (1159, 539326), (1202, 507563), (1224, 507307), (1225, 507642), (1279, 413294), (1643, 500333), (2102, 388950), (2382, 532222)
PF operator: (2 t - 1) (6 t + 1) (2 t + 1)2 (332 t3 + 28 t2 + 23 t - 4) (89712000 t7 + 111494976 t6 + 37245792 t5 - 2572208 t4 - 2029880 t3 + 19900 t2 - 894 t - 17) D5 + 2 (2 t + 1) (5361189120000 t13 + 7692057990144 t12 + 2995717956096 t11 - 478058126592 t10 - 499710857216 t9 - 53563127936 t8 + 15153165376 t7 + 2802229088 t6 - 46513944 t5 + 4650052 t4 + 18895354 t3 - 139881 t2 + 4283 t + 51) D4 + (121520286720000 t14 + 229626387025920 t13 + 149533243392000 t12 + 25886468665344 t11 - 10436475521536 t10 - 3799764197120 t9 + 175745542656 t8 + 186638778368 t7 + 23754196640 t6 + 1783616496 t5 - 35185472 t4 - 34382064 t3 + 77762 t2 - 6285 t - 34) D3 + 2 t (160835673600000 t13 + 298517105479680 t12 + 190620521011200 t11 + 32469836381184 t10 - 11652766254848 t9 - 3906167344128 t8 + 151560734976 t7 + 112683529600 t6 + 4365613648 t5 - 451550192 t4 + 24293976 t3 + 1148780 t2 + 20879 t + 10) D2 + 48 t2 (8160921216000 t12 + 14952352186368 t11 + 9365709945600 t10 + 1479540830208 t9 - 588590607744 t8 - 180547032576 t7 + 3675552096 t6 + 2601041536 t5 - 21942540 t4 - 15505696 t3 + 1093791 t2 + 25672 t + 476) D + 288 t2 (595687680000 t12 + 1082169888768 t11 + 667876252416 t10 + 97248650496 t9 - 44632709632 t8 - 12711950208 t7 + 128926432 t6 + 77983168 t5 - 6668152 t4 - 526104 t3 + 57423 t2 + 991 t + 17)
PF degree (N, r): (5,14)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (-34) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (2*t - 1) * (6*t + 1) * (2*t + 1)2 * (332*t3 + 28*t2 + 23*t - 4) * (89712000*t7 + 111494976*t6 + 37245792*t5 - 2572208*t4 - 2029880*t3 + 19900*t2 - 894*t - 17)
Degree: 34
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.50000000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1666666666666667?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.50000000000000000?
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.1258548881301757?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1050961187638831? - 0.2910079634552826?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1050961187638831? + 0.2910079634552826?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3720219137685704?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.011982494768474141?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.1980047086829169?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.5393579118242924? - 0.1490583312430321?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.5393579118242924? + 0.1490583312430321?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.01095273232385494? - 0.02378373761183890?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.01095273232385494? + 0.02378373761183890?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 77

First few terms: 1, 0, 6, 30, 138, 1260, 7710, 57960, 447930, 3312120
Fano variety: ?
Polytopes (PALP, grdb): (116, 544026), (333, 429045), (562, 516794), (616, 425457), (811, 541431), (888, 512866), (1238, 506628), (1289, 412762), (1387, 246285), (2191, 223129), (2859, 353579)
PF operator: (2 t + 1)2 (5963 t5 + 1110 t4 - 1017 t3 - 200 t2 - 4 t + 4) (1254325932 t7 + 1768718247 t6 + 1228738489 t5 + 434780862 t4 + 43031586 t3 + 942368 t2 + 30720 t + 600) D5 + 2 (2 t + 1) (112193182987740 t13 + 218419295928078 t12 + 195457383704527 t11 + 93164767303679 t10 + 15586452609474 t9 - 4314514740284 t8 - 2089401260494 t7 - 303150582935 t6 - 30328679061 t5 - 4985253886 t4 - 396670654 t3 - 6577136 t2 - 145200 t - 1800) D4 + (2543045481055440 t14 + 5931769798664700 t13 + 6485890236832180 t12 + 4116780536640025 t11 + 1441821446436361 t10 + 204556551120181 t9 - 16476185809429 t8 - 8049528192350 t7 - 797287516868 t6 - 7935300520 t5 + 8510761120 t4 + 775576392 t3 + 14593312 t2 + 275280 t + 1200) D3 + 2 t (3365795489632200 t13 + 7564883585198160 t12 + 8152576210901980 t11 + 5150997699503656 t10 + 1813691219432878 t9 + 302799598852741 t8 + 11902847563306 t7 - 2392262084590 t6 - 358807623802 t5 - 26242116121 t4 - 1840080546 t3 - 59442958 t2 - 852016 t - 600) D2 + 36 t2 (227710608434376 t12 + 498054044502492 t11 + 530225412498568 t10 + 331715471761105 t9 + 114974780905608 t8 + 19969197636037 t7 + 1502076272712 t6 + 10026603126 t5 - 9342315764 t4 - 1091989044 t3 - 76058568 t2 - 2115480 t - 24640) D + 144 t2 (24931818441720 t12 + 53552496788652 t11 + 56510271806704 t10 + 35031897361821 t9 + 11923757086017 t8 + 2081644407570 t7 + 184399559026 t6 + 6433391220 t5 - 544861456 t4 - 88743730 t3 - 5355180 t2 - 134100 t - 1200)
PF degree (N, r): (5,14)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (1200) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (5963*t5 + 1110*t4 - 1017*t3 - 200*t2 - 4*t + 4) * (1254325932*t7 + 1768718247*t6 + 1228738489*t5 + 434780862*t4 + 43031586*t3 + 942368*t2 + 30720*t + 600)
Degree: 30
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
-0.50000000000000000?
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
-0.4295771155109091?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.11060003022527511?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.4118988237342764?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1395348252867059? - 0.12168591576338537?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1395348252867059? + 0.12168591576338537?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.5825569907932668?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.11816651003763120?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.02250811272040693?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3454117182496887? - 0.529985077297878?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3454117182496887? + 0.529985077297878?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.001980215599229372? - 0.02770402688066600?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.001980215599229372? + 0.02770402688066600?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 78

First few terms: 1, 0, 4, 6, 36, 120, 490, 2520, 8260, 52080
Fano variety: ?
Polytopes (PALP, grdb): (15, 544341), (44, 520041)
PF operator: (3 t - 1) (9 t2 + 3 t + 1) (997 t4 - 144 t3 - 128 t2 + t + 4) (531341856 t7 - 481420800 t6 + 308199600 t5 - 41155632 t4 + 1863819 t3 + 197169 t2 - 11112 t + 448) D5 + (214547871324960 t14 - 231107221308672 t13 + 149745736796112 t12 - 23463607483584 t11 - 4675639421097 t10 - 797460791004 t9 + 531800275392 t8 - 66629987271 t7 - 16732550379 t6 + 9868445280 t5 - 1027823722 t4 + 37126179 t3 + 3807090 t2 - 156016 t + 4480) D4 + (1215771270841440 t14 - 1334432675750400 t13 + 951605979072336 t12 - 169774456064832 t11 - 14772611684511 t10 + 2645021339235 t9 + 536692541112 t8 - 366351170535 t7 + 52561688586 t6 - 14971265172 t5 + 1532152993 t4 - 62822556 t3 - 2697396 t2 + 67984 t - 1792) D3 + t (3218218069874400 t13 - 3581185650405120 t12 + 2715860902892976 t11 - 525777903028656 t10 - 3817663428735 t9 + 11089848157542 t8 - 998197943400 t7 - 249286772790 t6 + 20559637221 t5 + 934859760 t4 - 163025792 t3 + 5600376 t2 + 277742 t + 16) D2 + 6 t2 (653179074922656 t12 - 733892434566912 t11 + 579039814335312 t10 - 117496012420656 t9 + 4797644458347 t8 + 2164707097344 t7 - 337648944228 t6 - 129378204 t5 + 921148073 t4 + 117629628 t3 - 23381232 t2 + 1252224 t + 14336) D + 72 t3 (23838652369440 t11 - 26951661598464 t10 + 21785695792272 t9 - 4537038609648 t8 + 309062245311 t7 + 70423265772 t6 - 13419003120 t5 + 847875048 t4 - 33309232 t3 + 3644064 t2 - 565584 t + 40320)
PF degree (N, r): (5,14)
PF operator at t=0: (-896) * (D - 2) * (2*D - 1) * D3
Symbol of PF operator: (3*t - 1) * (9*t2 + 3*t + 1) * (997*t4 - 144*t3 - 128*t2 + t + 4) * (531341856*t7 - 481420800*t6 + 308199600*t5 - 41155632*t4 + 1863819*t3 + 197169*t2 - 11112*t + 448)
Degree: 56
Connection matrix: ?
Extremal? unknown
Ramification data: ?

Period sequence 79

First few terms: 1, 0, 2, 18, 54, 300, 2090, 10500, 63910, 405720
Fano variety: ?
Polytopes (PALP, grdb): (123, 519655), (336, 429055), (361, 254912), (495, 543396), (580, 516713), (853, 513181), (2042, 491423)
PF operator: (2 t + 1)2 (9185 t5 + 2188 t4 + 868 t3 + 16 t2 - 4) (4936140624 t7 + 3453004063 t6 - 727303738 t5 - 367892556 t4 - 6589438 t3 + 96604 t2 - 13052 t - 144) D5 + 2 (2 t + 1) (680076774471600 t13 + 835679679821048 t12 + 203431349173979 t11 - 62879188862230 t10 - 40636355421434 t9 - 8835494458591 t8 - 870689151780 t7 + 28642473551 t6 - 8882010550 t5 - 4055929936 t4 - 61329814 t3 + 852620 t2 - 62668 t - 432) D4 + (15415073554689600 t14 + 24186534577068100 t13 + 9896525647035484 t12 - 1170723849420701 t11 - 1790545454352986 t10 - 490887824353832 t9 - 61235566898432 t8 - 4099438183910 t7 - 250498582840 t6 + 19814648380 t5 + 8678556124 t4 + 161891224 t3 - 489688 t2 + 76192 t + 288) D3 + 2 t (20402303234148000 t13 + 29587522912735160 t12 + 9247851512240442 t11 - 2993785967471148 t10 - 2238413010932584 t9 - 460618132616180 t8 - 38431483613228 t7 - 774369807043 t6 + 6335574249 t5 - 4248368232 t4 - 339162726 t3 - 7454538 t2 - 54120 t - 92) D2 + 4 t2 (12422735747014560 t12 + 16967128206388668 t11 + 4042609362393148 t10 - 2290086359239157 t9 - 1242739973356267 t8 - 200590907611808 t7 - 10886632210008 t6 + 178004782034 t5 - 4310635696 t4 - 2371695376 t3 - 124492432 t2 - 2092408 t - 16128) D + 48 t2 (453384516314400 t12 + 594344741405556 t11 + 110879501498089 t10 - 92568048657793 t9 - 41761649125438 t8 - 5495905353095 t7 - 172784408415 t6 + 12075810390 t5 - 405348854 t4 - 66485738 t3 - 2859828 t2 - 42500 t - 288)
PF degree (N, r): (5,14)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (288) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (2*t + 1)2 * (9185*t5 + 2188*t4 + 868*t3 + 16*t2 - 4) * (4936140624*t7 + 3453004063*t6 - 727303738*t5 - 367892556*t4 - 6589438*t3 + 96604*t2 - 13052*t - 144)
Degree: 36
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
-0.50000000000000000?
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.1396911784216352?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1161948989495338? - 0.1820849708165583?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1161948989495338? + 0.1820849708165583?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.0727579303266078? - 0.2480437119598894?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.0727579303266078? + 0.2480437119598894?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.7680429910103664?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2633040900950934?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.04275529106038396?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.01005362793139616?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.3517283809632903?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.01644621520275068? - 0.02614691600786451?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.01644621520275068? + 0.02614691600786451?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 80

First few terms: 1, 0, 6, 30, 210, 1440, 11310, 87780, 704130, 5784240
Fano variety: ?
Polytopes (PALP, grdb): (332, 429052), (518, 516960), (628, 425407), (686, 254017), (872, 512882), (964, 420516), (1210, 507250), (1237, 506627), (1294, 413055), (1403, 246125), (1411, 246158), (1605, 500012), (2243, 222610), (2282, 662750), (2512, 369371), (2865, 352782), (2869, 353583), (2947, 181674)
PF operator: (3 t + 1)2 (5677 t5 + 3740 t4 + 1144 t3 + 132 t2 + 8 t - 4) (286464024 t7 + 633423919 t6 + 764882042 t5 + 271690042 t4 + 25992726 t3 - 121488 t2 + 10116 t + 112) D5 + 2 (3 t + 1) (36590765945580 t13 + 112102121813388 t12 + 180004452356069 t11 + 141519834866296 t10 + 61165090986378 t9 + 15372906068954 t8 + 2216444655951 t7 + 171857913369 t6 + 12565564430 t5 + 2686697020 t4 + 240442650 t3 - 970980 t2 + 48452 t + 336) D4 + (1244086042149720 t14 + 4093318707473205 t13 + 7056196500358164 t12 + 6096479483112917 t11 + 2916287841430532 t10 + 820708167568110 t9 + 136370818832108 t8 + 12480957260946 t7 + 468045992436 t6 - 24536952592 t5 - 6727443772 t4 - 476863600 t3 - 326760 t2 - 59648 t - 224) D3 + 2 t (1646584467551100 t13 + 5286882859481790 t12 + 9049838320609737 t11 + 7356204978457348 t10 + 3177474548489360 t9 + 777605053514658 t8 + 107228630570356 t7 + 7521569302275 t6 + 190126315131 t5 + 2905387762 t4 + 612770804 t3 + 16526862 t2 + 131892 t + 148) D2 + 12 t2 (334195662302964 t12 + 1054192779451665 t11 + 1798892844265059 t10 + 1391973897316087 t9 + 552900477588119 t8 + 120325195117120 t7 + 14110579214862 t6 + 772639387582 t5 + 11966774288 t4 + 609977080 t3 + 87510952 t2 + 1349480 t + 12544) D + 144 t2 (12196921981860 t12 + 38026635583923 t11 + 64805443249476 t10 + 48416797762619 t9 + 18078247692532 t8 + 3592881650837 t7 + 368801793561 t6 + 16234932380 t5 + 183532228 t4 + 22742846 t3 + 1942208 t2 + 22828 t + 224)
PF degree (N, r): (5,14)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (-224) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (3*t + 1)2 * (5677*t5 + 3740*t4 + 1144*t3 + 132*t2 + 8*t - 4) * (286464024*t7 + 633423919*t6 + 764882042*t5 + 271690042*t4 + 25992726*t3 - 121488*t2 + 10116*t + 112)
Degree: 28
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
-0.3333333333333334?
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.10342392890376844?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3007722098011609? - 0.2041275371462724?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3007722098011609? + 0.2041275371462724?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.0803390852830997? - 0.2123806500281659?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.0803390852830997? + 0.2123806500281659?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3183128448094078?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1711675915664997?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.00865391111598313?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.8646922561022002? - 1.018886176237480?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.8646922561022002? + 1.018886176237480?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.00816873445248206? - 0.01993981894339380?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.00816873445248206? + 0.01993981894339380?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 81

First few terms: 1, 0, 14, 48, 594, 4200, 41900, 372960, 3677170, 35671440
Fano variety: ?
Polytopes (PALP, grdb): (229, 543794), (289, 518175), (935, 420847), (1560, 537051), (1636, 499833), (1662, 497198), (1902, 672679), (2567, 205418)
PF operator: (2 t + 1) (6 t - 1) (6 t + 1) (3 t + 1)2 (274 t2 + 23 t - 4) (769503456 t7 + 488326464 t6 + 106599072 t5 + 5095556 t4 - 987668 t3 - 61690 t2 + 886 t - 13) D5 + 2 (3 t + 1) (341567194049280 t13 + 452438073149184 t12 + 231577191343872 t11 + 54961998403392 t10 + 4292166701232 t9 - 610867221504 t8 - 128548921216 t7 - 4942152576 t6 - 148153998 t5 - 21364108 t4 + 7003653 t3 + 462719 t2 - 4586 t + 39) D4 + (11613284597675520 t14 + 17235575427225600 t13 + 10513192011190272 t12 + 3316185917238528 t11 + 524920332235392 t10 + 20411613806688 t9 - 5154350427120 t8 - 480911562300 t7 + 41076961092 t6 + 7363213694 t5 + 289631766 t4 - 13439195 t3 - 665468 t2 + 3487 t - 26) D3 + 2 t (15370523732217600 t13 + 20825342912286720 t12 + 11665585290445056 t11 + 3367288197755712 t10 + 471181372343712 t9 + 8765743618080 t8 - 5877099149616 t7 - 624179814572 t6 - 14829831054 t5 + 151641078 t4 - 25263857 t3 - 296099 t2 + 43867 t + 24) D2 + 8 t2 (4679470558475136 t12 + 5910600066536448 t11 + 3093802236280800 t10 + 825569803720296 t9 + 100893701986776 t8 - 861201274176 t7 - 1626209920230 t6 - 157301240944 t5 - 5314924515 t4 - 96030145 t3 - 6748507 t2 + 110328 t + 5408) D + 48 t2 (341567194049280 t12 + 411031194826752 t11 + 204870255377184 t10 + 51391299638808 t9 + 5536671552072 t8 - 203867187012 t7 - 110596683822 t6 - 9962817550 t5 - 367932753 t4 - 7874488 t3 - 372799 t2 + 8553 t + 182)
PF degree (N, r): (5,14)
Reduced PF degree (N, r'): (5,7)
PF operator at t=0: (-26) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (2*t + 1) * (6*t - 1) * (6*t + 1) * (3*t + 1)2 * (274*t2 + 23*t - 4) * (769503456*t7 + 488326464*t6 + 106599072*t5 + 5095556*t4 - 987668*t3 - 61690*t2 + 886*t - 13)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
1/2 0 0 0 0
0 0 1 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
0.1666666666666667?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1666666666666667?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.50000000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3333333333333334?
0 1 0 0 0
0 0 0 0 0
0 0 0 1 0
0 0 0 0 0
0 0 0 0 0
-0.1698773642983581?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.08593575845894203?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2382326484409773?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.08034343590744194?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.08661754281743187?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2082337285344590? - 0.1257471964908423?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2082337285344590? + 0.1257471964908423?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.006913278166536415? - 0.01115401498737340?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.006913278166536415? + 0.01115401498737340?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 82

First few terms: 1, 0, 12, 36, 420, 2700, 24420, 200340, 1784580, 15908760
Fano variety: ?
Polytopes (PALP, grdb): (599, 515587), (670, 254738), (974, 420461), (986, 420318), (1037, 251665), (1670, 496119), (1746, 398434), (1747, 398237), (1800, 236110), (2197, 222907), (2207, 220645)
PF operator: (48959 t9 - 293798 t8 - 530757 t7 - 322340 t6 - 73982 t5 + 2398 t4 + 3644 t3 + 400 t2 - 21 t - 4) (14012980102222588 t16 + 3934049367361620 t15 - 26763947417445828 t14 - 38458555435638711 t13 - 26479796915150348 t12 - 11321966669690349 t11 - 3270666174440726 t10 - 658725291823978 t9 - 92545978805859 t8 - 8731709064405 t7 - 478971621124 t6 - 6854486091 t5 + 581611793 t4 + 4078402 t3 + 1086396 t2 + 8068 t - 224) D6 + (14407291349319029403732 t25 - 63692904507714600323436 t24 - 139614354828992957982888 t23 + 39258279991152422666568 t22 + 372903947382704413194167 t21 + 531996942107682178848415 t20 + 431817738475088145362289 t19 + 237941244968717709166475 t18 + 95236802801272039411344 t17 + 28584665650494868382353 t16 + 6509967667610275163540 t15 + 1114009865461723815953 t14 + 134969064862909243274 t13 + 8557468476743273503 t12 - 690037692591850165 t11 - 296573878770328444 t10 - 49126589438779078 t9 - 5384230569785213 t8 - 406987407010244 t7 - 18300181924448 t6 - 160085913187 t5 + 19397410498 t4 + 135212608 t3 + 23407912 t2 + 149928 t - 3136) D5 + (120060761244325245031100 t25 - 405980590902260195061380 t24 - 822944860124883575414676 t23 + 387333050723964810803761 t22 + 2330200381026441695918300 t21 + 3063228516406285936410810 t20 + 2346010017604786772319766 t19 + 1233044565275429086725393 t18 + 475202614046383778551149 t17 + 138897303614535542579231 t16 + 31377755228378462078405 t15 + 5548751716408744292231 t14 + 782025206123606982577 t13 + 92412106807064181146 t12 + 10396795489510275847 t11 + 1280365427257613806 t10 + 161063720886731773 t9 + 16807065240868759 t8 + 1241569732732852 t7 + 55512388466153 t6 + 804741070583 t5 - 44389783714 t4 - 358915656 t3 - 39339244 t2 - 120400 t + 3136) D4 + (504255197226166029130620 t25 - 1293299557804799954065860 t24 - 2620789263579661267983840 t23 + 1251351513891577668858444 t22 + 7022460012410087310957805 t21 + 8846112583446041344330337 t20 + 6500519777196960056735343 t19 + 3279117060246233633622481 t18 + 1212821305295397746502792 t17 + 339924903787883421792623 t16 + 73323688594425261512092 t15 + 12169545127011662395879 t14 + 1513348220764501167838 t13 + 127907637140422983065 t12 + 4323162116088762061 t11 - 640723872288798956 t10 - 137149140649057394 t9 - 15037660986280807 t8 - 1132089492462832 t7 - 51380613841120 t6 - 740734462181 t5 + 33526365122 t4 + 392625464 t3 + 20806064 t2 - 2616 t - 896) D3 + 2 t (557081932173669136944304 t24 - 1080703040016336217960528 t23 - 2367705304210014073926366 t22 + 773026306213134820748312 t21 + 5409347372617364012865671 t20 + 6757420737403706588140835 t19 + 4845909161676779342741027 t18 + 2371066430601752321833321 t17 + 847352408095286956143120 t16 + 228718108023324572358093 t15 + 47344479884778448520120 t14 + 7504349921628197044325 t13 + 886592570422611576768 t12 + 72218580912857151753 t11 + 3201182372745473637 t10 - 17219565565107750 t9 - 8641510223240640 t8 - 158088301698221 t7 + 24963436833088 t6 + 2854946367720 t5 + 86952731873 t4 - 1206227406 t3 - 56357494 t2 - 362868 t + 328) D2 + 24 t2 (50425519722616602913062 t23 - 74732749949176017066746 t22 - 187531839712320570929683 t21 + 18013847314559279316399 t20 + 336322262007128317419373 t19 + 430873187397303259935659 t18 + 306411749600890262343221 t17 + 147034832262590109629116 t16 + 51223308319794776480980 t15 + 13421828772434777905967 t14 + 2685787620252788073231 t13 + 408107067688042125851 t12 + 45143417785693153603 t11 + 3190350654344267198 t10 + 75928437531506947 t9 - 8516871156604376 t8 - 741843911415638 t7 - 6513477341822 t6 + 2166571854392 t5 + 179077565960 t4 + 2356126908 t3 - 88496936 t2 - 3054864 t - 5376) D + 288 t3 (1715153732061789214730 t22 - 2011345179696910411990 t21 - 5878155082436381983843 t20 - 728537733609846494939 t19 + 7973264433116483906962 t18 + 10781211250220572607188 t17 + 7697502930194768782267 t16 + 3655049279488151217698 t15 + 1250941525313643475717 t14 + 320573521024841437533 t13 + 62491993392461520340 t12 + 9176359193476968730 t11 + 956744321471095676 t10 + 57841649522735091 t9 - 74057209527706 t8 - 315693026099594 t7 - 20074039775485 t6 - 85525141234 t5 + 57313294540 t4 + 3919766456 t3 + 18444456 t2 - 2080016 t - 60480)
PF degree (N, r): (6,25)
PF operator at t=0: (448) * (D - 2) * (D - 1) * (2*D - 1) * D3
Symbol of PF operator: (48959*t9 - 293798*t8 - 530757*t7 - 322340*t6 - 73982*t5 + 2398*t4 + 3644*t3 + 400*t2 - 21*t - 4) * (14012980102222588*t16 + 3934049367361620*t15 - 26763947417445828*t14 - 38458555435638711*t13 - 26479796915150348*t12 - 11321966669690349*t11 - 3270666174440726*t10 - 658725291823978*t9 - 92545978805859*t8 - 8731709064405*t7 - 478971621124*t6 - 6854486091*t5 + 581611793*t4 + 4078402*t3 + 1086396*t2 + 8068*t - 224)
Degree: 28
Connection matrix: ?
Extremal? unknown
Ramification data: ?

Period sequence 83

First few terms: 1, 0, 10, 30, 318, 1740, 15310, 106260, 891310, 6898080
Fano variety: ?
Polytopes (PALP, grdb): (287, 518150)
PF operator: unknown
PF degree (N, r): unknown, but N <= 9 and most likely N = 9
PF operator at t=0: unknown
Symbol of PF operator: unknown
Degree: 32
Connection matrix: ?
Extremal? unknown
Ramification data: ?

Period sequence 84

First few terms: 1, 0, 2, 6, 30, 60, 470, 1680, 7630, 34440
Fano variety: rank 3, number 30
Polytopes (PALP, grdb): (28, 520136), (167, 430039)
PF operator: (9389 t8 + 672 t7 - 482 t6 - 1080 t5 - 545 t4 - 100 t3 - 6 t2 + 4 t + 1) (2435771148 t10 + 5128937525 t9 + 2815461524 t8 + 283723565 t7 - 277176232 t6 - 139146063 t5 - 7301316 t4 + 661546 t3 - 11336 t2 - 2786 t - 200) D5 + 2 (171520914814290 t18 + 394656575093672 t17 + 241537500946762 t16 + 19702269057564 t15 - 46022525752596 t14 - 27633178349006 t13 - 3711834736611 t12 + 1525357854826 t11 + 1042662740590 t10 + 216458800890 t9 + 6376864514 t8 + 1134930000 t7 + 2399738841 t6 + 617984076 t5 + 23819842 t4 - 1850556 t3 + 33526 t2 + 5372 t + 300) D4 + (1943903701228620 t18 + 4656623380684175 t17 + 2965487302747728 t16 + 351987186850689 t15 - 425976069131048 t14 - 244943292812556 t13 - 13339931837460 t12 + 14606986357205 t11 + 6887368656878 t10 + 1336476663000 t9 + 86415547046 t8 - 11703675343 t7 - 6767522034 t6 - 1952401213 t5 - 85389708 t4 + 2498838 t3 - 88996 t2 - 7130 t - 400) D3 + 2 t (2572813722214350 t17 + 6344115233226370 t16 + 4149838150327634 t15 + 551186938311114 t14 - 578791297303632 t13 - 353026233065395 t12 - 24212915053731 t11 + 10602593351807 t10 + 3440194723109 t9 + 151742588304 t8 - 70996973573 t7 - 5245754169 t6 + 987530874 t5 + 176359011 t4 + 8329874 t3 + 291606 t2 + 5612 t - 14) D2 + 4 t2 (1566557688637182 t16 + 3941114893933761 t15 + 2624206665348317 t14 + 362808401149767 t13 - 386169052664377 t12 - 249619756358428 t11 - 23102509762091 t10 + 3173016442721 t9 + 660935586168 t8 - 126947670641 t7 - 30829766730 t6 + 2635313506 t5 + 753039804 t4 + 77638822 t3 + 3179072 t2 + 76472 t + 800) D + 24 t3 (114347276542860 t15 + 291388823850534 t14 + 196177901423521 t13 + 27537311111726 t12 - 30485840805829 t11 - 20423200936751 t10 - 2199386331210 t9 + 94225508477 t8 - 1831639185 t7 - 14184724135 t6 - 1230824063 t5 + 418066764 t4 + 56495934 t3 + 4258010 t2 + 166874 t + 2700)
PF degree (N, r): (5,18)
PF operator at t=0: (-200) * (D - 2) * (D - 1) * D3
Symbol of PF operator: (9389*t8 + 672*t7 - 482*t6 - 1080*t5 - 545*t4 - 100*t3 - 6*t2 + 4*t + 1) * (2435771148*t10 + 5128937525*t9 + 2815461524*t8 + 283723565*t7 - 277176232*t6 - 139146063*t5 - 7301316*t4 + 661546*t3 - 11336*t2 - 2786*t - 200)
Degree: 50
Connection matrix: ?
Extremal? unknown
Ramification data: ?

Period sequence 85

First few terms: 1, 0, 12, 54, 540, 4620, 43770, 425880, 4256700, 43462440
Fano variety: rank 3, number 8
Polytopes (PALP, grdb): (983, 420459), (1048, 253985), (1081, 253431), (1394, 246053), (1424, 246062), (1455, 251399), (1504, 674149), (1505, 674141), (1775, 408716), (1829, 236336), (1865, 245697), (1866, 245712), (1878, 669466), (1912, 672425), (1924, 61810), (1932, 61797), (2104, 387010), (2149, 388568), (2206, 220898), (2256, 234961), (2264, 234666), (2292, 662763), (2314, 669245), (2328, 61317), (2328, 61317), (2540, 365106), (2582, 202533), (2586, 204255), (2638, 652299), (2659, 660595), (2684, 59845), (2844, 351081), (2970, 638861), (2970, 638861), (2990, 639036), (2996, 648677), (3170, 333608), (3243, 156909), (3245, 161494), (3489, 135822), (3955, 280470)
PF operator: (4 t + 1) (20572 t7 + 21488 t6 + 6844 t5 - 288 t4 - 584 t3 - 100 t2 + 1) (2461499520 t10 + 22358332000 t9 + 31892732426 t8 + 20813627472 t7 + 7674337998 t6 + 1700267130 t5 + 218234672 t4 + 12995571 t3 - 2814 t2 - 15272 t + 768) D5 + 2 (1519139043763200 t18 + 16226279844421760 t17 + 37674041247381968 t16 + 43294313973305826 t15 + 30212427841948736 t14 + 13862797016646396 t13 + 4268762948266854 t12 + 845016904246606 t11 + 83937984927563 t10 - 5272540657776 t9 - 3365802255448 t8 - 621237896712 t7 - 78824909187 t6 - 8738813394 t5 - 790761727 t4 - 39521391 t3 - 131293 t2 + 31312 t - 1152) D4 + (17216909162649600 t18 + 187893568986944000 t17 + 418154944133365216 t16 + 458802210464741832 t15 + 307143524359438112 t14 + 136949961280860528 t13 + 42142932511342796 t12 + 8945345004022456 t11 + 1255158318533428 t10 + 103661701802472 t9 + 4299195548894 t8 + 556935130638 t7 + 185786047318 t6 + 29463730422 t5 + 2528370106 t4 + 112394995 t3 + 897566 t2 - 51928 t + 1536) D3 + 2 t (22787085656448000 t17 + 252615114782089600 t16 + 543300308852825008 t15 + 574011059226296346 t14 + 370437295294265896 t13 + 159821908069844916 t12 + 47911650843149028 t11 + 10036540988555066 t10 + 1432367769953947 t9 + 130399075390608 t8 + 6655512781762 t7 + 164461844517 t6 + 2169948357 t5 - 1377241164 t4 - 266831006 t3 - 15034194 t2 - 182195 t + 752) D2 + 12 t2 (4624934422123520 t16 + 51838427830296960 t15 + 108668425806412464 t14 + 111547189317742586 t13 + 69896877416371068 t12 + 29282438960272228 t11 + 8523435516050252 t10 + 1732967002263716 t9 + 240136087982771 t8 + 21304468160250 t7 + 1052699340736 t6 + 14361088167 t5 - 2478035412 t4 - 454041760 t3 - 42104952 t2 - 1613536 t - 6144) D + 720 t3 (33758645416960 t15 + 381074923466624 t14 + 785213500619840 t13 + 790242107604066 t12 + 484908993041300 t11 + 198695988787592 t10 + 56449981138322 t9 + 11158614037840 t8 + 1492604796927 t7 + 125574445944 t6 + 5341091716 t5 - 66526876 t4 - 31407960 t3 - 3483846 t2 - 223002 t - 6480)
PF degree (N, r): (5,18)
Reduced PF degree (N, r'): (5,8)
PF operator at t=0: (768) * (D - 2) * (D - 1) * D3
Symbol of PF operator: (4*t + 1) * (20572*t7 + 21488*t6 + 6844*t5 - 288*t4 - 584*t3 - 100*t2 + 1) * (2461499520*t10 + 22358332000*t9 + 31892732426*t8 + 20813627472*t7 + 7674337998*t6 + 1700267130*t5 + 218234672*t4 + 12995571*t3 - 2814*t2 - 15272*t + 768)
Degree: 24
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0 0
0 0 1 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.25000000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2855131191455406?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.08292816340929606?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.2651944785443531?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3519957670160776? - 0.1287938687182236?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3519957670160776? + 0.1287938687182236?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2015722648526861? - 0.12030527686687809?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2015722648526861? + 0.12030527686687809?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-7.498529054465242?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.293775344174246?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1970161625271645?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.09874136223321648?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3584130796819088? - 0.0906093756464690?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3584130796819088? + 0.0906093756464690?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1617421927576375? - 0.1792769542956348?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1617421927576375? + 0.1792769542956348?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02257819840035489? - 0.02009882806061652?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02257819840035489? + 0.02009882806061652?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 86

First few terms: 1, 0, 4, 6, 60, 180, 1210, 5460, 30940, 165480
Fano variety: rank 3, number 24
Polytopes (PALP, grdb): (77, 430420), (78, 430425), (168, 430091), (206, 255875), (314, 428886), (376, 254876), (378, 254829), (583, 516501), (633, 425104), (994, 419984)
PF operator: (1973 t8 + 128 t7 - 720 t6 - 1304 t5 - 494 t4 - 160 t3 - 24 t2 + 4 t + 1) (265305036 t10 - 75856695 t9 - 718362308 t8 - 542789346 t7 - 174574908 t6 - 9967107 t5 + 4452460 t4 - 626566 t3 - 50932 t2 + 4474 t - 168) D5 + 2 (3925851270210 t18 - 1002057567384 t17 - 12872058945994 t16 - 10791604734858 t15 - 983257228008 t14 + 4914570156148 t13 + 4032423256518 t12 + 1503477778342 t11 + 239793662117 t10 + 354678396 t9 + 6105661236 t8 + 4893554802 t7 + 1175785137 t6 + 29167572 t5 - 13098436 t4 + 1972230 t3 + 130920 t2 - 9116 t + 252) D4 + (44492981062380 t18 - 12520247396925 t17 - 155699213973192 t16 - 133350993914878 t15 - 31423057298972 t14 + 23563812014783 t13 + 19487965351256 t12 + 5265413979322 t11 - 31704248990 t10 - 401295460813 t9 - 67085758452 t8 - 9249565270 t7 - 2005585226 t6 - 134181791 t5 + 46836532 t4 - 5064606 t3 - 312504 t2 + 14474 t - 336) D3 + 2 t (58887769053150 t17 - 17716082664390 t16 - 218108783515106 t15 - 193329677919954 t14 - 62367285976128 t13 + 9717336447389 t12 + 11350563233916 t11 + 1501058692550 t10 - 574020023840 t9 - 251486865156 t8 + 21954046662 t7 + 9857762268 t6 + 464727288 t5 - 39644829 t4 - 3431000 t3 + 534048 t2 + 11442 t - 22) D2 + 4 t2 (35856108267918 t16 - 11282399643987 t15 - 138690042511157 t14 - 126297149102728 t13 - 46686604957330 t12 - 307494179283 t11 + 3531209972338 t10 - 212341211082 t9 - 296982672336 t8 - 42817705522 t7 + 27008360397 t6 + 4598924266 t5 - 125818616 t4 - 10220200 t3 - 84954 t2 + 232760 t + 1344) D + 24 t3 (2617234180140 t15 - 847052988498 t14 - 10421489883841 t13 - 9656301654908 t12 - 3808217781064 t11 - 236470882031 t10 + 167027793150 t9 - 43536619454 t8 - 15423360052 t7 + 1450168891 t6 + 2271099113 t5 + 252571622 t4 - 20099884 t3 + 48918 t2 + 57978 t + 11340)
PF degree (N, r): (5,18)
PF operator at t=0: (-168) * (D - 2) * (D - 1) * D3
Symbol of PF operator: (1973*t8 + 128*t7 - 720*t6 - 1304*t5 - 494*t4 - 160*t3 - 24*t2 + 4*t + 1) * (265305036*t10 - 75856695*t9 - 718362308*t8 - 542789346*t7 - 174574908*t6 - 9967107*t5 + 4452460*t4 - 626566*t3 - 50932*t2 + 4474*t - 168)
Degree: 42
Connection matrix: ?
Extremal? unknown
Ramification data: ?

Period sequence 87

First few terms: 1, 0, 6, 18, 114, 660, 3930, 25620, 163170, 1101240
Fano variety: rank 5, number 2
Polytopes (PALP, grdb): (193, 430358), (219, 255778), (347, 428552), (407, 255334), (595, 515145), (675, 427137), (677, 254744), (897, 512864), (1058, 253965), (1331, 412937), (1444, 250763), (1466, 250714), (1838, 235624), (2153, 387094), (2154, 387777), (2236, 220607)
PF operator: unknown
PF degree (N, r): unknown, but N <= 7 and most likely N = 7
PF operator at t=0: unknown
Symbol of PF operator: unknown
Degree: 36
Connection matrix: ?
Extremal? unknown
Ramification data: ?

Period sequence 88

First few terms: 1, 0, 12, 42, 468, 3360, 31350, 275940, 2599380, 24566640
Fano variety: rank 4, number 13
Polytopes (PALP, grdb): (601, 515517), (667, 254764), (884, 512673), (935, 420847), (1047, 253987), (1080, 253446), (1364, 412320), (1453, 251391), (1485, 674229), (1503, 674142), (1573, 535773), (1662, 497198), (1667, 497674), (1799, 236106), (1863, 245713), (1901, 672795), (1902, 672679), (1902, 672679), (2205, 221373), (2305, 668857), (2567, 205418), (2567, 205418), (2580, 203196), (2636, 652240), (2658, 660370), (2943, 178413)
PF operator: (t + 1) (5 t + 1) (43 t3 + 18 t2 - t - 1) (163 t3 + 78 t2 + 3 t - 1) (78136990 t10 - 2022624505 t9 - 3128690937 t8 - 2059510605 t7 - 756940216 t6 - 167771236 t5 - 21765637 t4 - 1316969 t3 + 3400 t2 + 1791 t - 104) D5 + 2 (20537331109125 t18 - 534043056549205 t17 - 1844926149993820 t16 - 2668861661730714 t15 - 2230697064994390 t14 - 1208998697972248 t13 - 446059139612295 t12 - 112843201367889 t11 - 18643227937498 t10 - 1573518872736 t9 + 78670430992 t8 + 45146270377 t7 + 7492940694 t6 + 870851653 t5 + 77838529 t4 + 3981198 t3 + 11757 t2 - 3686 t + 156) D4 + (232756419236750 t18 - 6446743201730875 t17 - 20084332882695695 t16 - 26770045659752880 t15 - 20926365640176017 t14 - 10768452171542340 t13 - 3842775953358356 t12 - 967785714752460 t11 - 170063803015567 t10 - 20033602934875 t9 - 1543575907566 t8 - 117185458335 t7 - 19166766408 t6 - 2906554559 t5 - 255251987 t4 - 11415049 t3 - 78526 t2 + 6173 t - 208) D3 + 2 t (308059966636875 t17 - 8920465604022425 t16 - 25571764784194310 t15 - 31902506565511755 t14 - 23588496981000039 t13 - 11570796264187246 t12 - 3959815632805341 t11 - 960745852543932 t10 - 163133912257659 t9 - 18498359967612 t8 - 1268178110975 t7 - 42325310237 t6 - 146170257 t5 + 115414703 t4 + 22847580 t3 + 1627062 t2 + 23186 t - 88) D2 + 4 t2 (187574290796675 t16 - 5599383589404990 t15 - 15076457887280235 t14 - 17880692142581283 t13 - 12653326182257059 t12 - 5963484377006851 t11 - 1963449298071173 t10 - 457415878460556 t9 - 74087631654813 t8 - 7897175380320 t7 - 487221199979 t6 - 10374164831 t5 + 776776341 t4 + 119883159 t3 + 11395119 t2 + 539484 t + 2496) D + 48 t3 (6845777036375 t15 - 208341677375880 t14 - 537730155204060 t13 - 615739389852004 t12 - 422242257836953 t11 - 193141388371852 t10 - 61675419659717 t9 - 13880059250527 t8 - 2150940192721 t7 - 214284049784 t6 - 11308007657 t5 + 4434877 t4 + 47484273 t3 + 4739572 t2 + 313984 t + 11232)
PF degree (N, r): (5,18)
Reduced PF degree (N, r'): (5,8)
PF operator at t=0: (-104) * (D - 2) * (D - 1) * D3
Symbol of PF operator: (t + 1) * (5*t + 1) * (43*t3 + 18*t2 - t - 1) * (163*t3 + 78*t2 + 3*t - 1) * (78136990*t10 - 2022624505*t9 - 3128690937*t8 - 2059510605*t7 - 756940216*t6 - 167771236*t5 - 21765637*t4 - 1316969*t3 + 3400*t2 + 1791*t - 104)
Degree: 26
Connection matrix: ?
Extremal? Yes
Ramification data:
SingularityLocal monodromy
0
0 1 0 0 0
0 0 1 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2000000000000000?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-1
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.2114597866325400?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3150322188976654? - 0.1035962291006627?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3150322188976654? + 0.1035962291006627?*I
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3914847996055983?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1760549497134798?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.08901214195711494?
1/2 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1061800707868039?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
27.38348239397224?
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3411701444975027? - 0.1344717403863964?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.3411701444975027? + 0.1344717403863964?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2376355267813489? - 0.0117413276434473?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.2376355267813489? + 0.0117413276434473?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1420026817594094? - 0.1853708968933708?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
-0.1420026817594094? + 0.1853708968933708?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02496766443663477? - 0.02189539716671226?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0.02496766443663477? + 0.02189539716671226?*I
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
+Infinity
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
?

Period sequence 89

First few terms: 1, 0, 6, 12, 90, 360, 2040, 10500, 54810, 313320
Fano variety: ?
Polytopes (PALP, grdb): (109, 544032)
PF operator: (t - 1) (6337181 t8 - 2699863 t7 - 2938783 t6 - 882265 t5 + 17183 t4 + 56583 t3 + 5940 t2 - 864 t - 108) (132052264600144349270790993537525308092667621050234410244227881639759725929728035073589047487729941204745046761302898711260622669698494192905156732996536521136263375785766975959273385743080276136493897279956718250797492296405328271751806497950525555139844472735320935718433475692779245373801968720875982611343412978113222175581658412503574825721699197 t9 - 73763777475617756008106362507830682245004453818718767727112818105717574662604472336077530774261359217798062220687023052778564313750705077792949525732104895319241818530574828054371042938025054330870004143286888734906729142040945700957130209423850277882138837793098191708809917508473704811172147762289032148920512772903942080092956375793048584090777300 t8 + 3782262645990814709118241181151515876153511550138768199498994629226342756695558678196243584324183550101359670645268410040071895653412669854063234635874714003928480354034748430891560082073264867111301550943683489938436779796160406509744986566131311792864521377435241215678921183854837915227964795448682966841081717878957322058743239527083159665101359 t7 + 755408562555331448729376262307244258880141038790132228789769931148725336852807468973041917631788979601302618375633402863725165435228509736440745144723617167568929892547220558195091898219245882739432833712943460501051359828915813947631119257961900954292601761801836943461789218620252333756040973496456602356674544259357507200453256366097181736543953 t6 + 75184983640891825235210253505346431799112099786634411687884675604109763572608914233045066750651329324396901149318288007257322819045423944750891107528930462338785500081271993880357140240037922394604133412677035486306048977655787509369460023411630441110515090164738407327105781151529148979005864227577062795354629712408778858406090512822129688348954 t5 + 5248969796645155635626931125483367401347020810903002235819300181354294232724707623894885910972286495453016487566194386212537228197349715783908307784337545939873693736913499143533022853504648200771766512474336217787988314090251495207235592254529667714256348301737666893234669958457589753687769081374094615444220039836760614165201163940314531781065 t4 + 864516023118096636841075531860496694767927828779227097439878424097016469202134001716329898213835263088691885315272274506398750770595854540050691052960730040048801105079784171756674732580225374742710942393967008440417595267157858919705859046714593362678317611293039630722164894555609925091255477346109000704460486224500363871425782488112067610386 t3 + 18224591057505288959134088223350208883661628771209518958267768410215845521586077526270319235433712677523647390013221205282090854185885594621201984551316513815683426930237103357956779423226774069607978677816289999848112985363597280000775551829837822450458765935427823948792918317737495028819757967392838196054317873741187526846073679859682914858 t2 + 171109680090204716691465521778688268906745092230299938114277274246018123840146153692840141609051865451206176784803024501266381772674604659519070525122116562472748417876445182782350280251096819997758992758293586698740431604622888750436723553817525636394391899050964622517898753185430157299782863119208891499128089941560451330183789302710846028 t - 2079011564456438856134493316497879733870473399105143910523060994063971167264264094335710920514634837403476778951959462711596475717885560911949443971724779523486086042636410786498521429144539125447644701959284005929162191108629921928266168492996792067970119764415634742488857304682272046470386822226234606431455084899553764397207578987065896) D8 + (31555602356353462459687708162154563424043494504905386582763711015116361977006368984606234878562147711230119580663060477068363676601193131317059858133905830611207620219252016345882809733860544217598435851946823501832619319102396530596043124315279745320738387746768775476083186546687509627888916156999227093534333856236463388770112583621953891742473913642772088 t18 - 55071925540026675800588268342563942426627808482226397499234655426263003172027191953048266789455116335542887492724454118953015321518968461798600722830253189160339952693820361676134641599971827600771725275365131969722835945737045748629318732550972896111638004633091158317035779504600682383976771864193337553179930775595242761499784177376044038295722550691763683 t17 + 21315069544329867213878395971614093873551764295164542261410961477267828131293401771301930146741880930678332229960334835866743623501160887243104399461844367145956454511588763356765317412330589850137500218555532620775515646124868393406026537269870452460005334101432658301744349750471680371570436338485170085615177303209508357209841850062767821293052043725641701 t16 + 4373026953557756418220857718635237095870549334091106236746589037745211271009354433951927016237255674798351967037941672865097226670490720922365946864057376913066986642805734138025787254380889217915882938187520032150928953093517952809957772528603785140584332744484880593162914591392144051500213742843779828551675137751014444612451845442340052171161481808322267 t15 - 1671021552203641522005858757219788342988290541490171877042598304661256693268876376323356955456050877998182564991595836319706162815436355655292389694160175871171949351043713325739819579383589065777892986180380344772204969675716350936504504782955426842402038384798108981302018694448144215825079128195351917025413224860639449227492466292457830105354589250228429 t14 - 635461912251718649837518349340252986422388991608900329911351028157093616547740347672483112121856536903711870709954505975749060185928771051261320339198525463771480007861766128527813149700511144510842304078839024918871229027643166031445574728728559789152109342045082844944214399018065905101560805667063491153201614499497396872770010326208603499824491379017726 t13 + 76214931873176095762958965931257564423658689722359817966450363147170803646341243803451676103720935300088702671162067255515590918545819771915215278366893626488885357827255061109207818585336615959065288435596492452783338108339156186569921807087941238614926272267860217062867705450974999454923861059121058196817624492934398741518878883402999152040261553299098 t12 + 18610868456566434377875030486886948268634555894123510599295654397484742955038263961567806329486672234394128817653186253793088739167356739724774509090324932381844628339155957626347604474453171070742709808320574288997755380800049252032525633125871335522331533220058050680463976368531690328167215066512849250582951161903458834435537340936934129065612836074721 t11 - 3858993750337300477273563496078413447118064389793177375099216219066798404020138474627426784784975811078202824130551913969090347622939251089295930812072146877114357677768390765426335302208296414128755035761279719691162635907747125400682171311338526778837708318953005015982041948194849774660542850457769190171533472386215110742124142420073701248629630627135 t10 + 676042034277886431659312369068342955550399171350406614212457651090010321333834450453801053086246186641984409886089693871695540912465379054151600062462207003957471724249731482603944949713954927306053087040162265977758239803063198141828555080544486682770539077500624914116834473877359714174562449208183883638504003257886938149438651412496572563788624808117 t9 + 149933320870430452049115152534972444396818722846597233270820937492972155475171638933679852968383775438047059820047743803002698217053619191609722792420959352997914332153680463762622128006287202522766264311887365528905002266521870778865017605501064491083450571516364442608308847753612945405567587511293773224535233348323409530515204344471396143034397130733 t8 - 13336347555597241354921466906713840065565853481062486136480634628045205437077852850025168757189054528031089333428540081234138142894348636282191734596164466626680802041688341071765420263362179416057059574306695597990522025873913429741704013137817025941374009068850287380436548039919370758021335904197134335273289630533608354314212408179742326745498372466 t7 - 1842978375860574450039600085853658107231551967619367619559800899331094970261111567708503380005526239364491663522697912204308326885296399043021551926843517385108296366344033037296019336351371204034819961858114886703162837707110375050625149470282139152166271343528797307628304240578601873399216481990369107629981178730696199946389426435649008636845059450 t6 - 151274465399094173984466253927686369926042878915613160780054799955189229878235191847973823951058980486436536604810004912038935044161282770296769777659882393508835191281700511930937678622077520633129150315996275235088404018069848295302100250991392651097477460949392682541361261386874110615834548757634696045478401461630521188283359027233730022328499178 t5 - 15936323570855933293200677156685782003700291277530464900610749796400414894908798619402564931712056854273038216320835035275731668646524098688495850898589328922751247175221640080757328965242904629652116842231015088052786754637374666151333226897873212412439941132057616151393165175510967927116498003537472333409430957887999994939911746927861222435276478 t4 - 1362291200749458295156495596288657205078710411947662462680456370021452964474030133871516755365510228733147880440840688741600816439497026052118276187503506631234538638093077984520687088283390168038589211640692049211479247818873781650519729434509309263088514962931668374210668825181436573807314980000842437305642176060419493321540146293971017439318072 t3 - 21431104686365564483323586838090275324898063929037851311599501043121316940990240959797719456260563121310011402163750107327180663809175128333257899428416235595413618893349516321228340704858111786053328344988527008770302330689270929377567208797326739408269543449671953319911144723051818882930323105191471015354542462546534435099385933910618494187212 t2 - 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