{'dirichlet_group': [], 'frobs': [[2, [[3, 1], [2, 1]]], [3, [[3, 1], [2, 1]]], [5, [0]], [7, [[4, 1], [1, 1]]], [11, [[4, 1], [1, 1]]], [13, [[4, 1], [1, 1]]], [17, [0]], [19, [[4, 1], [1, 1]]], [23, [[5, 1]]], [29, [[3, 1], [1, 2]]], [31, [[2, 2], [1, 1]]], [37, [0]], [41, [[3, 1], [2, 1]]], [43, [[4, 1], [1, 1]]], [47, [[5, 1]]], [53, [[5, 1]]], [59, [[4, 1], [1, 1]]]], 'id': 5152414, 'label': '5.1.9828125.1', 'res': {'sib': ['-147095,-811050,-301735,-460920,-216560,70778,70175,11780,-2635,-330,41,-60,-100,-15,0,1', '-169,-260,-100,0,0,-143,15,0,0,0,1', '-28130000,-3102500,4094625,-148150,-42125,-19638,3095,-325,100,0,1', '1,-716,-780,-360,-70,-1,1', '108097344,-229810560,212656960,-79865880,-3107880,14340568,-4076275,1497680,-433555,466885,-362387,143525,12565,-19415,8530,-2836,1090,-250,55,-5,1', '111890672965,59503738480,81454852080,100608711115,76031130155,40439184830,15048663605,1459653910,-940669600,-645205300,157016606,107523392,49545957,-2506794,-2737741,-1520014,-82883,53322,31881,3129,174,-172,-32,-1,1', '1212317,-182523,290228,-199520,60400,46226,-13779,-1306,220,60,-1,-6,1', '21744223936,46304068840,51915988275,34814852465,13798560275,1533611546,-1590846500,-1040206240,-257277985,5599570,24229383,7660270,1524865,400690,140135,28924,1590,-545,-110,0,1', '493775,-451500,1334725,-1101275,1948350,-1236160,1032125,-482520,402180,-298425,-27064,59855,2840,-6430,-1185,1397,-345,-15,40,-10,1', '567801102259,27069378387175,-213874220438460,148530331228630,35136262507235,-53152564497841,24762030461235,1803210164570,-7128228041590,682274990480,479246645496,-448396416835,5941217430,68329411240,-20863077960,-2917535813,1843492955,-249705705,-338047100,92497305,8925833,-6770990,-1306515,507865,-1225,-8682,-890,265,25,-10,1', '75053314565,-99512023725,-74142401880,83094974620,67407073895,-18866942014,-46391156890,-8568780925,16761096610,9172206685,-2372658116,-4169805800,-242566635,1111251435,201064080,-196480188,-62094665,32718140,9707095,-4493760,-855914,307460,131730,-31670,-9555,1363,720,-40,-35,0,1', '846053678328350225,-2242683455009773500,3301028918258587500,-3424762629649361250,3001502911892330475,-2263607897802404850,1575806054803947825,-1024063478804862650,622848916520022700,-351107894145665950,185888757961622955,-91426546828736200,42091414261327400,-18545649837597850,7809803608164990,-3078228294918830,1087253837703205,-344314352180210,106496403688645,-33747506029130,9546154193421,-1594566086340,-196131903605,212398097010,-58688453155,6264346964,247551085,166802360,-148868530,17837880,12478496,-7793390,2703670,-635810,145080,-33636,6305,-1010,135,-10,1', '941640791,320277635665,-6396792226235,42622028669345,-113113033981280,121833888071623,-31233170822050,-16527938473410,17954411089175,4780937409995,-5892096788442,2169754180915,249956662405,-250152127525,40407933825,32687509341,-17258571980,4912183500,-752437555,114290275,-18142252,3674370,167630,-128965,32015,-4622,1910,-260,30,0,1']}, 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{1}{3} a^{4} - \\frac{1}{3} a^{3} + \\frac{1}{3} a^{2} - \\frac{1}{3} a - \\frac{7}{3} \\)', '\\( \\frac{53}{3} a^{4} - \\frac{2}{3} a^{3} - \\frac{100}{3} a^{2} + \\frac{289}{3} a - \\frac{743}{3} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 - 1/3*a^3 + 1/3*a^2 - 1/3*a - 1/3']}
