{'dirichlet_group': [], 'frobs': [[2, [[11, 1]]], [3, [[5, 2], [1, 1]]], [5, [[11, 1]]], [7, [[5, 2], [1, 1]]], [11, [[5, 2], [1, 1]]], [13, [[5, 2], [1, 1]]], [17, [[5, 2], [1, 1]]], [19, [[5, 2], [1, 1]]], [23, [[5, 2], [1, 1]]], [29, [[11, 1]]], [31, [[11, 1]]], [37, [[5, 2], [1, 1]]], [41, [[5, 2], [1, 1]]], [43, [[5, 2], [1, 1]]], [47, [[5, 2], [1, 1]]], [53, [[5, 2], [1, 1]]], [59, [[5, 2], [1, 1]]]], 'id': 22217879, 'label': '11.11.28501271562015485137921.1', 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{449847925016}{133257556552321} a^{10} - \\frac{561364625602}{133257556552321} a^{9} - \\frac{25161684675998}{133257556552321} a^{8} + \\frac{21192371521767}{133257556552321} a^{7} + \\frac{509139714200566}{133257556552321} a^{6} - \\frac{227977706557420}{133257556552321} a^{5} - \\frac{4542140862854796}{133257556552321} a^{4} + \\frac{367683764720970}{133257556552321} a^{3} + \\frac{16926508213950885}{133257556552321} a^{2} + \\frac{2840704971679693}{133257556552321} a - \\frac{17286959150412709}{133257556552321} \\)', '\\( \\frac{3814337538496}{133257556552321} a^{10} - \\frac{5029859418224}{133257556552321} a^{9} - \\frac{211918334369206}{133257556552321} a^{8} + \\frac{194793763192036}{133257556552321} a^{7} + \\frac{4252098791206966}{133257556552321} a^{6} - \\frac{2234262471593247}{133257556552321} a^{5} - \\frac{37525507507909509}{133257556552321} a^{4} + \\frac{5642058486949938}{133257556552321} a^{3} + \\frac{137994481881057702}{133257556552321} a^{2} + \\frac{16447917291647237}{133257556552321} a - \\frac{138298003443207053}{133257556552321} \\)', '\\( -\\frac{853299626381}{133257556552321} a^{10} + \\frac{938506199957}{133257556552321} a^{9} + \\frac{48023168156102}{133257556552321} a^{8} - \\frac{34191055282362}{133257556552321} a^{7} - \\frac{981355221147268}{133257556552321} a^{6} + \\frac{344217073521122}{133257556552321} a^{5} + \\frac{8873837544233463}{133257556552321} a^{4} - \\frac{319346621524245}{133257556552321} a^{3} - \\frac{33502499837422769}{133257556552321} a^{2} - \\frac{5487860794512412}{133257556552321} a + \\frac{34453627338023105}{133257556552321} \\)', '\\( -\\frac{1927874613113}{133257556552321} a^{10} + \\frac{2442952336046}{133257556552321} a^{9} + \\frac{107154217243499}{133257556552321} a^{8} - \\frac{93755731951319}{133257556552321} a^{7} - \\frac{2148181680537146}{133257556552321} a^{6} + \\frac{1056869643117720}{133257556552321} a^{5} + \\frac{18909924824152668}{133257556552321} a^{4} - \\frac{2499330477432015}{133257556552321} a^{3} - \\frac{69287923930024705}{133257556552321} a^{2} - \\frac{8175891986747749}{133257556552321} a + \\frac{70095965104925052}{133257556552321} \\)', '\\( -\\frac{277761887491}{133257556552321} a^{10} + \\frac{210894209167}{133257556552321} a^{9} + \\frac{15246688436861}{133257556552321} a^{8} - \\frac{8630349650863}{133257556552321} a^{7} - \\frac{293451735846528}{133257556552321} a^{6} + \\frac{124978484308865}{133257556552321} a^{5} + \\frac{2373684590596654}{133257556552321} a^{4} - \\frac{722171741103110}{133257556552321} a^{3} - \\frac{7503317614559025}{133257556552321} a^{2} + \\frac{1268517808311117}{133257556552321} a + \\frac{5168114024221026}{133257556552321} \\)', '\\( \\frac{880424173691}{133257556552321} a^{10} - \\frac{1060507296211}{133257556552321} a^{9} - \\frac{48788703776901}{133257556552321} a^{8} + \\frac{39318191070726}{133257556552321} a^{7} + \\frac{977612637161704}{133257556552321} a^{6} - \\frac{418072638391960}{133257556552321} a^{5} - \\frac{8627278544594513}{133257556552321} a^{4} + \\frac{702849089699467}{133257556552321} a^{3} + \\frac{31813903717206801}{133257556552321} a^{2} + \\frac{4804287118887032}{133257556552321} a - \\frac{32493208983154823}{133257556552321} \\)', '\\( -\\frac{1035620646365}{133257556552321} a^{10} + \\frac{2667381998639}{133257556552321} a^{9} + \\frac{51895814153286}{133257556552321} a^{8} - \\frac{111040985725015}{133257556552321} a^{7} - \\frac{912273309083182}{133257556552321} a^{6} + \\frac{1454807609890294}{133257556552321} a^{5} + \\frac{6877926028324361}{133257556552321} a^{4} - \\frac{6112507488475269}{133257556552321} a^{3} - \\frac{22029113113394335}{133257556552321} a^{2} + \\frac{4019262870637420}{133257556552321} a + \\frac{19253130217419355}{133257556552321} \\)', '\\( -\\frac{681355687385}{133257556552321} a^{10} + \\frac{2081152986406}{133257556552321} a^{9} + \\frac{33234322582938}{133257556552321} a^{8} - \\frac{89753644714257}{133257556552321} a^{7} - \\frac{556378786012886}{133257556552321} a^{6} + \\frac{1252415019378154}{133257556552321} a^{5} + \\frac{3790672117130662}{133257556552321} a^{4} - \\frac{6099808014347522}{133257556552321} a^{3} - \\frac{9739281852033809}{133257556552321} a^{2} + \\frac{7037816942320213}{133257556552321} a + \\frac{4918163420981224}{133257556552321} \\)', '\\( -\\frac{47736051848}{133257556552321} a^{10} + \\frac{105075992193}{133257556552321} a^{9} + \\frac{2495044474757}{133257556552321} a^{8} - \\frac{4136803238008}{133257556552321} a^{7} - \\frac{45056624272778}{133257556552321} a^{6} + \\frac{47750159339847}{133257556552321} a^{5} + \\frac{326372044497255}{133257556552321} a^{4} - \\frac{120133770652245}{133257556552321} a^{3} - \\frac{809120116329701}{133257556552321} a^{2} - \\frac{351170758158366}{133257556552321} a - \\frac{47431810348324}{133257556552321} \\)', '\\( -\\frac{2990767464297}{133257556552321} a^{10} + \\frac{3647462828489}{133257556552321} a^{9} + \\frac{166836915982064}{133257556552321} a^{8} - \\frac{140078762758269}{133257556552321} a^{7} - \\frac{3353483414665970}{133257556552321} a^{6} + \\frac{1576133461297188}{133257556552321} a^{5} + \\frac{29531369305773245}{133257556552321} a^{4} - \\frac{3511644899898882}{133257556552321} a^{3} - \\frac{108048463207986922}{133257556552321} a^{2} - \\frac{13818782638743798}{133257556552321} a + \\frac{108160867310170847}{133257556552321} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', '1/133257556552321*a^10 - 41718082848977/133257556552321*a^9 - 27729203956439/133257556552321*a^8 + 63277957488948/133257556552321*a^7 - 424445719732/133257556552321*a^6 - 36703272043610/133257556552321*a^5 + 36837449335763/133257556552321*a^4 - 60939623055294/133257556552321*a^3 - 36714019056147/133257556552321*a^2 - 17258658480764/133257556552321*a - 38825014739497/133257556552321']}