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av_fq_isog • Show schema
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{'abvar_count': 1044, 'abvar_counts': [1044, 714096, 603232596, 500312795904, 420409625454324, 353825980253654256, 297556554840382667124, 250247783094053645758464, 210457217132673725770925076, 176994564082806872265891649776], 'abvar_counts_str': '1044 714096 603232596 500312795904 420409625454324 353825980253654256 297556554840382667124 250247783094053645758464 210457217132673725770925076 176994564082806872265891649776 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.388116919069661, 0.857447791505373], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 36, 'curve_counts': [36, 850, 24732, 707374, 20496636, 594842146, 17249779044, 500249030494, 14507141341428, 420707204614450], 'curve_counts_str': '36 850 24732 707374 20496636 594842146 17249779044 500249030494 14507141341428 420707204614450 ', 'curves': ['y^2=21*x^6+26*x^5+6*x^4+19*x^3+15*x^2+11*x+12', 'y^2=6*x^6+10*x^5+9*x^4+22*x^3+14*x^2+11*x+28', 'y^2=22*x^6+23*x^5+6*x^4+18*x^3+28*x^2+19*x+16', 'y^2=14*x^6+8*x^5+x^4+12*x^3+27*x^2+13*x+26', 'y^2=3*x^6+25*x^5+21*x^4+6*x^3+7*x^2+24*x', 'y^2=23*x^6+25*x^5+x^4+18*x^3+26*x^2+19*x+4', 'y^2=28*x^6+12*x^5+12*x^4+5*x^3+18*x^2+17*x+25', 'y^2=23*x^6+8*x^5+22*x^4+26*x^3+23*x^2+4*x+19', 'y^2=11*x^6+9*x^5+5*x^4+5*x^3+15*x^2+9*x+18', 'y^2=4*x^6+22*x^5+27*x^4+5*x^3+14*x^2+16', 'y^2=9*x^6+5*x^5+3*x^4+x^3+21*x^2+11*x+25', 'y^2=13*x^6+5*x^5+4*x^4+3*x^3+11*x^2+25*x+5', 'y^2=7*x^6+13*x^5+27*x^4+16*x^3+20*x^2+22*x+24', 'y^2=7*x^6+22*x^5+14*x^3+2*x^2+12*x+6', 'y^2=4*x^6+10*x^5+13*x^4+7*x^3+6*x^2+11*x+13', 'y^2=11*x^6+6*x^5+18*x^4+10*x^3+6*x^2+4*x+23', 'y^2=22*x^6+10*x^5+23*x^4+3*x^3+16*x+7', 'y^2=11*x^6+25*x^5+14*x^4+17*x^3+23*x^2+3*x+4', 'y^2=8*x^6+x^5+16*x^4+6*x^3+14*x^2+4*x+12', 'y^2=15*x^6+4*x^5+18*x^4+13*x^3+5*x^2+6*x+18', 'y^2=16*x^6+x^5+14*x^4+28*x^3+16*x^2+17*x+13', 'y^2=10*x^6+4*x^5+5*x^4+x^3+13*x^2+16*x+28', 'y^2=17*x^6+7*x^5+14*x^4+9*x^3+20*x^2+17*x+16', 'y^2=24*x^6+5*x^5+26*x^4+9*x^3+9*x^2+24*x+14', 'y^2=16*x^6+15*x^5+2*x^4+4*x^3+16*x^2+25*x+20', 'y^2=10*x^6+17*x^5+28*x^4+x^3+26*x^2+14*x+19', 'y^2=22*x^6+9*x^5+5*x^4+4*x^3+16*x^2+16*x+6', 'y^2=2*x^6+3*x^5+13*x^4+20*x^3+20*x^2+14*x+8', 'y^2=7*x^6+28*x^5+10*x^4+26*x^3+12*x^2+10*x+24', 'y^2=7*x^6+6*x^5+x^4+16*x^3+6*x^2+6*x+8', 'y^2=16*x^6+21*x^5+4*x^4+16*x^3+22*x^2+24*x+25', 'y^2=25*x^5+16*x^4+4*x^3+x^2+6*x+11', 'y^2=10*x^6+16*x^5+6*x^4+17*x^3+19*x^2+8*x+25', 'y^2=18*x^6+5*x^5+18*x^4+8*x^3+24*x^2+10*x+27', 'y^2=27*x^6+2*x^5+8*x^4+22*x^2+22*x+6', 'y^2=8*x^6+14*x^5+23*x^4+28*x^3+11*x^2+5', 'y^2=24*x^6+16*x^5+11*x^4+5*x^3+22*x^2+3*x+7', 'y^2=3*x^6+3*x^5+11*x^4+11*x^3+17*x^2+20*x+9', 'y^2=22*x^6+3*x^5+26*x^4+13*x^3+2*x^2+27*x+27', 'y^2=20*x^6+27*x^5+x^4+7*x^3+17*x^2+4*x+16', 'y^2=6*x^6+19*x^5+2*x^4+8*x^3+7*x^2+13*x+12', 'y^2=16*x^6+20*x^5+9*x^4+26*x^3+12*x^2+9', 'y^2=20*x^6+4*x^5+9*x^4+4*x^3+22*x^2+22*x+24', 'y^2=7*x^6+11*x^5+26*x^4+16*x^3+9*x^2+18*x+23', 'y^2=6*x^6+6*x^5+10*x^4+4*x^3+26*x^2+4*x+10', 'y^2=14*x^6+12*x^5+16*x^4+5*x^3+27*x^2+7*x+3', 'y^2=23*x^6+7*x^5+20*x^4+13*x^3+19*x^2+4*x+3', 'y^2=x^6+16*x^5+26*x^4+9*x^3+8*x^2+18*x+6', 'y^2=25*x^6+x^5+10*x^4+3*x^3+3*x^2+26*x+15', 'y^2=17*x^6+4*x^5+8*x^4+11*x^3+4*x^2+24*x+5', 'y^2=27*x^6+7*x^5+17*x^4+14*x^3+23*x+28', 'y^2=16*x^6+27*x^5+10*x^4+18*x^3+16*x+18', 'y^2=16*x^6+24*x^5+4*x^4+24*x^3+3*x+24', 'y^2=28*x^6+20*x^5+13*x^4+13*x^3+20*x^2+27*x+26', 'y^2=17*x^5+23*x^4+16*x^3+4*x^2+9*x+14', 'y^2=9*x^6+12*x^5+6*x^4+24*x^3+20*x^2+5*x+7', 'y^2=11*x^6+11*x^5+7*x^4+11*x^3+22*x^2+25*x+16', 'y^2=16*x^6+2*x^5+26*x^4+28*x^3+25*x^2+26*x+22', 'y^2=15*x^6+6*x^5+23*x^4+26*x^3+17*x^2+4*x+3', 'y^2=21*x^6+22*x^5+17*x^4+19*x^3+9*x^2+25*x+9', 'y^2=3*x^5+28*x^4+24*x^3+5*x^2+3*x+21', 'y^2=14*x^6+2*x^5+14*x^4+5*x^3+19*x^2+20*x+8', 'y^2=28*x^6+18*x^5+28*x^4+23*x^3+8*x^2+19*x+9', 'y^2=13*x^6+3*x^5+x^4+7*x^3+13*x^2+23*x+16', 'y^2=23*x^6+5*x^5+22*x^4+23*x^3+8*x^2+23*x+18', 'y^2=7*x^6+13*x^5+11*x^4+10*x^3+24*x^2+22*x+28', 'y^2=20*x^6+23*x^5+27*x^4+19*x^3+x^2+14*x+16', 'y^2=14*x^6+14*x^5+11*x^4+18*x^3+19*x^2+5*x+1', 'y^2=5*x^6+13*x^5+28*x^4+12*x^3+6*x^2+21*x+8', 'y^2=20*x^6+5*x^5+18*x^4+18*x^3+9*x^2+9*x+23', 'y^2=28*x^6+15*x^5+18*x^4+12*x+18', 'y^2=25*x^6+22*x^5+9*x^4+5*x^3+17*x^2+x+1', 'y^2=20*x^6+21*x^5+9*x^4+19*x^3+7*x^2+10*x+26', 'y^2=19*x^6+10*x^5+12*x^4+8*x^3+26*x^2+16*x', 'y^2=6*x^6+19*x^5+24*x^4+10*x^3+12*x^2+17*x+24', 'y^2=8*x^6+12*x^5+2*x^4+5*x^3+x^2+15*x+20', 'y^2=x^6+23*x^5+22*x^4+23*x^3+20*x^2+25*x+1', 'y^2=28*x^6+21*x^5+22*x^4+21*x^3+25*x^2+2*x+3', 'y^2=7*x^6+28*x^5+6*x^4+21*x^3+13*x^2+14*x+23', 'y^2=26*x^6+10*x^5+9*x^4+20*x^3+7*x^2+x+5', 'y^2=27*x^6+24*x^5+4*x^4+14*x^3+4*x^2+23*x+12', 'y^2=17*x^6+18*x^5+3*x^4+19*x^3+12*x^2+3', 'y^2=16*x^6+27*x^5+11*x^4+24*x^3+27*x^2+8*x+25', 'y^2=11*x^6+23*x^5+7*x^4+26*x^3+23*x^2+17*x+16', 'y^2=5*x^6+10*x^5+13*x^4+8*x^3+19*x^2+16*x+25', 'y^2=21*x^6+22*x^5+15*x^4+6*x^3+25*x^2+2*x+5', 'y^2=25*x^6+22*x^5+21*x^4+4*x^3+3*x^2+26*x+25', 'y^2=7*x^5+15*x^4+2*x^3+19*x^2+x+11', 'y^2=17*x^5+15*x^4+28*x^3+7*x+5', 'y^2=12*x^6+x^5+6*x^4+11*x^3+4*x^2+16*x+19'], '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, 'endomorphism_ring_count': 12, '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': ['4.0.55600.1'], 'geometric_splitting_field': '4.0.55600.1', 'geometric_splitting_polynomials': [[139, 0, 24, 0, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 90, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 90, 'label': '2.29.g_w', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.55600.1'], 'p': 29, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 11, 1, 12], [1, 19, 1, 6], [1, 19, 2, 6]], 'poly': [1, 6, 22, 174, 841], 'poly_str': '1 6 22 174 841 ', 'primitive_models': [], 'principal_polarization_count': 90, 'q': 29, 'real_poly': [1, 6, -36], 'simple_distinct': ['2.29.g_w'], 'simple_factors': ['2.29.g_wA'], 'simple_multiplicities': [1], 'singular_primes': ['2,V-3', '3,V+5', '3,-F-3*V-23'], 'size': 168, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.55600.1', 'splitting_polynomials': [[139, 0, 24, 0, 1]], 'twist_count': 2, 'twists': [['2.29.ag_w', '2.841.i_da', 2]], 'weak_equivalence_count': 12, 'zfv_index': 36, 'zfv_index_factorization': [[2, 2], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 6, 'zfv_plus_index_factorization': [[2, 1], [3, 1]], 'zfv_plus_norm': 2224, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,V-3', '3,V+5', '3,-F-3*V-23']}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.29.g_w', 'extension_degree': 1, 'extension_label': '2.29.g_w', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.55600.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.29.g_w', 'galois_group': '4T3', 'places': [['8', '1', '0', '0'], ['12', '1', '0', '0'], ['21', '1', '0', '0'], ['17', '1', '0', '0']]}
