# Stored data for abelian variety isogeny class 2.193.abz_bns, downloaded from the LMFDB on 29 May 2024.
{"abvar_count": 28388, "abvar_counts": [28388, 1367620288, 51651753544208, 1925098953201074944, 71708945830468264883588, 2671085177800605442004463616, 99495245169024428285528865699524, 3706098381978392268086641804924996608, 138048458688833571732628872547016051001872, 5142167038082156588264057462510315958977745088], "abvar_counts_str": "28388 1367620288 51651753544208 1925098953201074944 71708945830468264883588 2671085177800605442004463616 99495245169024428285528865699524 3706098381978392268086641804924996608 138048458688833571732628872547016051001872 5142167038082156588264057462510315958977745088 ", "angle_rank": 2, "angles": [0.0403859860472373, 0.180450830900315], "center_dim": 4, "curve_count": 143, "curve_counts": [143, 36713, 7184774, 1387470705, 267785337143, 51682544035454, 9974730335278439, 1925122951943928865, 371548729882682343686, 71708904872681924733113], "curve_counts_str": "143 36713 7184774 1387470705 267785337143 51682544035454 9974730335278439 1925122951943928865 371548729882682343686 71708904872681924733113 ", "curves": ["y^2=160*x^6+118*x^5+105*x^4+38*x^3+85*x^2+159*x+13", "y^2=29*x^6+60*x^5+154*x^4+17*x^3+68*x^2+56*x+17", "y^2=173*x^6+61*x^5+73*x^4+148*x^3+145*x^2+47*x+59", "y^2=28*x^6+118*x^5+135*x^4+23*x^3+91*x^2+61*x+174", "y^2=134*x^6+16*x^5+124*x^4+187*x^3+16*x^2+66*x+47", "y^2=44*x^6+51*x^5+160*x^4+187*x^3+32*x^2+188*x+156", "y^2=146*x^6+179*x^5+190*x^4+102*x^3+31*x^2+42*x+35", "y^2=52*x^6+91*x^5+173*x^4+135*x^3+149*x^2+173*x+65", "y^2=143*x^6+161*x^5+30*x^4+39*x^3+x^2+191*x+98", "y^2=121*x^6+77*x^5+97*x^4+19*x^3+184*x^2+135*x+186", "y^2=170*x^6+21*x^5+131*x^4+132*x^3+89*x^2+171*x+51", "y^2=177*x^6+58*x^5+108*x^4+91*x^3+146*x^2+189*x+60", "y^2=92*x^6+179*x^5+167*x^4+134*x^3+79*x^2+166*x+68", "y^2=80*x^6+81*x^5+175*x^4+153*x^3+47*x^2+77*x+171"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 2, "galois_groups": ["4T3"], "geom_dim1_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_distinct": 1, "geom_dim2_factors": 1, "geom_dim3_distinct": 0, "geom_dim3_factors": 0, "geom_dim4_distinct": 0, "geom_dim4_factors": 0, "geom_dim5_distinct": 0, "geom_dim5_factors": 0, "geometric_center_dim": 4, "geometric_extension_degree": 1, "geometric_galois_groups": ["4T3"], "geometric_number_fields": ["4.0.49708.1"], "geometric_splitting_field": "4.0.49708.1", "geometric_splitting_polynomials": [[19, 11, 8, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 14, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "jacobian_count": 14, "label": "2.193.abz_bns", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "number_fields": ["4.0.49708.1"], "p": 193, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, -51, 1032, -9843, 37249], "poly_str": "1 -51 1032 -9843 37249 ", "primitive_models": [], "q": 193, "real_poly": [1, -51, 646], "simple_distinct": ["2.193.abz_bns"], "simple_factors": ["2.193.abz_bnsA"], "simple_multiplicities": [1], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.49708.1", "splitting_polynomials": [[19, 11, 8, -1, 1]], "twist_count": 2, "twists": [["2.193.bz_bns", "2.37249.aur_hsmy", 2]]}