{"rank":3,"n":11,"seq":296569,"label":"3.11.296569","id":"r3_n11_000000000000000000000000000000000000000**0**00****0****00000**0**00****0****0000****0000**0**00****0****00**00**0****00*0000**0**00****0****00****000**00***000******","beta_invariant":0,"birational_type":"empty","birational_type_components":"[]","birational_type_method":"empty_char0","char_poly_splits":true,"char_set":"[0]","expected_dimension_over_Z":0,"free_realization_space":false,"girth":1,"good_basis":null,"good_basis_v2":"2,4,10","is_binary":true,"is_coloopless":true,"is_connected":false,"is_divisionally_free":true,"is_graphic":false,"is_identically_self_dual":false,"is_laminar":false,"is_loopless":false,"is_nested":false,"is_orientable":false,"is_paving":false,"is_quaternary":true,"is_realizable":true,"is_realizable_char0":true,"is_regular":false,"is_self_dual":false,"is_series_parallel":false,"is_simple":false,"is_simplicial_arrangement":false,"is_supersolvable":true,"is_ternary":false,"is_three_lines":null,"is_transversal":false,"is_uniform":null,"n_automorphisms":192,"n_bases":76,"n_circuits":49,"n_components":null,"n_connected_components":2,"n_cyclic_flats":12,"n_flats":16,"n_loops":1,"principal_ideal":true,"rs_characteristic_dimension_unexpected":true,"rs_characteristic_dimension_varies":false,"rs_characteristic_dimensions":"[{\"p\":2,\"d\":0}]","rs_characteristic_dimensions_method":"simple_core","rs_dim":4,"rs_is_regular_scheme":true,"rs_is_smooth_over_QQ":null,"rs_is_smooth_over_ZZ":false,"rs_n_qbar_components":null,"rs_regularity_method":"simple_core","rs_regularity_witness":"r3_n7_0******0******0***0******0*0**0****","rs_scheme_simple_core_id":"r3_n7_0******0******0***0******0*0**0****","rs_singular_fiber_characteristics":null,"rs_singular_fiber_characteristics_method":null,"rs_singular_fiber_primes":"[]","rs_singular_fiber_primes_method":"simple_core","rs_smoothness_method":"simple_core","rs_smoothness_witness":"r3_n7_0******0******0***0******0*0**0****","singular_primes":null,"smooth_char_0":null,"status":"computed_realization_space","tutte_polynomial":"x_0^3*x_1 + 3*x_0^2*x_1^2 + 4*x_0^2*x_1 + x_0*x_1^5 + 2*x_0*x_1^4 + 9*x_0*x_1^3 + 10*x_0*x_1^2 + 3*x_0*x_1 + x_1^8 + 3*x_1^7 + 6*x_1^6 + 9*x_1^5 + 12*x_1^4 + 9*x_1^3 + 3*x_1^2","realization_space":{"vars":[],"ideal":["2"],"inequations":[],"matrix":[["0","1","1","0","0","1","1","0","1","0","1"],["0","0","0","1","1","1","1","1","1","0","0"],["0","0","0","0","0","0","0","1","1","1","1"]]}}