{"rank":3,"n":11,"seq":19081,"label":"3.11.19081","id":"r3_n11_0******0******0**********0********0*******0*************************0************************************0*******0********************************0*****0******0*****","beta_invariant":24,"birational_type":"empty","birational_type_components":"[]","birational_type_method":"empty_char0","char_poly_splits":false,"char_set":"[]","expected_dimension_over_Z":3,"free_realization_space":false,"girth":3,"good_basis":"2,4,5","good_basis_v2":"2,4,10","is_binary":false,"is_coloopless":true,"is_connected":true,"is_divisionally_free":false,"is_graphic":false,"is_identically_self_dual":false,"is_laminar":false,"is_loopless":true,"is_nested":false,"is_orientable":true,"is_paving":true,"is_quaternary":false,"is_realizable":false,"is_realizable_char0":false,"is_regular":false,"is_self_dual":false,"is_series_parallel":false,"is_simple":true,"is_simplicial_arrangement":false,"is_supersolvable":false,"is_ternary":false,"is_three_lines":false,"is_transversal":false,"is_uniform":null,"n_automorphisms":1,"n_bases":153,"n_circuits":246,"n_components":null,"n_connected_components":1,"n_cyclic_flats":14,"n_flats":44,"n_loops":0,"principal_ideal":true,"rs_characteristic_dimension_unexpected":false,"rs_characteristic_dimension_varies":false,"rs_characteristic_dimensions":"[]","rs_characteristic_dimensions_method":"empty_characteristic_set","rs_dim":-1,"rs_is_regular_scheme":true,"rs_is_smooth_over_QQ":null,"rs_is_smooth_over_ZZ":true,"rs_n_qbar_components":null,"rs_regularity_method":"empty","rs_regularity_witness":null,"rs_scheme_simple_core_id":"r3_n11_0******0******0**********0********0*******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":"smooth_over_ZZ","rs_smoothness_method":"empty","rs_smoothness_witness":null,"singular_primes":"[]","smooth_char_0":true,"status":"computed_realization_space","tutte_polynomial":"x_0^3 + 8*x_0^2 + 12*x_0*x_1 + 24*x_0 + x_1^8 + 3*x_1^7 + 6*x_1^6 + 10*x_1^5 + 15*x_1^4 + 21*x_1^3 + 28*x_1^2 + 24*x_1","realization_space":{"vars":["x1","x2","x3","x4","x5","x6","x7","x8","x9","x10"],"ideal":["1"],"inequations":["0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"],"matrix":null}}