Magma V2.19-8 Wed Aug 21 2013 00:55:31 on localhost [Seed = 2328662152] Type ? for help. Type -D to quit. Loading file "L13n10213__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n10213 geometric_solution 12.21631478 oriented_manifold CS_known 0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 2 1 1 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317244721747 0.771619880774 0 5 7 6 0132 0132 0132 0132 2 2 1 1 0 0 0 0 0 0 0 0 -1 1 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 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478989849009 1.307659225472 8 0 7 9 0132 0132 3012 0132 0 2 1 1 0 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609441680528 0.909507227677 5 8 10 0 3120 0321 0132 0132 0 2 1 2 0 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 0 2 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187828287292 0.947124066520 5 11 0 10 2103 0132 0132 0132 0 2 2 1 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.054073048025 1.530808625025 12 1 4 3 0132 0132 2103 3120 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.634902840653 0.581111834191 9 11 1 10 0213 3012 0132 2310 2 2 2 1 0 0 0 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -3 2 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.001210023396 0.777501527000 12 2 10 1 3120 1230 2310 0132 2 2 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305721670042 1.097837609958 2 12 11 3 0132 0132 0132 0321 0 2 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 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 1 -1 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609441680528 0.909507227677 6 12 2 11 0213 0213 0132 0132 0 2 2 1 0 0 -1 1 -1 0 0 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 3 0 0 -3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798537423149 1.015874966383 6 7 4 3 3201 3201 0132 0132 0 2 2 2 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 -1 1 0 -1 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.471642116725 0.659034276520 6 4 9 8 1230 0132 0132 0132 0 2 1 2 0 1 -1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -2 0 3 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218500131976 0.672260127641 5 8 9 7 0132 0132 0213 3120 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317244721747 0.771619880774 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_12' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_3'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_1001_0'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_7']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_6'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_9'], 'c_1100_9' : d['c_1001_3'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_10, c_0101_7, c_1001_0, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 4933659/11264*c_1100_0^6 + 1650497/11264*c_1100_0^5 - 15925759/11264*c_1100_0^4 - 14006453/11264*c_1100_0^3 - 10453787/180224*c_1100_0^2 - 17142537/360448*c_1100_0 - 13132957/180224, c_0011_0 - 1, c_0011_10 - 252/11*c_1100_0^6 - 92/11*c_1100_0^5 + 820/11*c_1100_0^4 + 746/11*c_1100_0^3 + 139/44*c_1100_0^2 - 47/88*c_1100_0 + 155/44, c_0011_11 - 6/11*c_1100_0^6 - 42/11*c_1100_0^5 + 30/11*c_1100_0^4 + 122/11*c_1100_0^3 + 499/88*c_1100_0^2 + 201/176*c_1100_0 + 43/88, c_0011_3 - 162/11*c_1100_0^6 - 78/11*c_1100_0^5 + 546/11*c_1100_0^4 + 522/11*c_1100_0^3 + 97/88*c_1100_0^2 - 29/176*c_1100_0 + 281/88, c_0011_6 - 162/11*c_1100_0^6 - 78/11*c_1100_0^5 + 546/11*c_1100_0^4 + 522/11*c_1100_0^3 + 97/88*c_1100_0^2 - 29/176*c_1100_0 + 281/88, c_0011_7 + 240/11*c_1100_0^6 + 96/11*c_1100_0^5 - 760/11*c_1100_0^4 - 744/11*c_1100_0^3 - 97/11*c_1100_0^2 - 59/22*c_1100_0 - 50/11, c_0011_9 - 1, c_0101_1 - 240/11*c_1100_0^6 - 96/11*c_1100_0^5 + 760/11*c_1100_0^4 + 744/11*c_1100_0^3 + 97/11*c_1100_0^2 + 81/22*c_1100_0 + 50/11, c_0101_10 - 28/11*c_1100_0^6 - 20/11*c_1100_0^5 + 96/11*c_1100_0^4 + 122/11*c_1100_0^3 - 9/44*c_1100_0^2 - 191/88*c_1100_0 + 27/44, c_0101_7 + c_1100_0, c_1001_0 - 1, c_1001_3 - 112/11*c_1100_0^6 - 80/11*c_1100_0^5 + 384/11*c_1100_0^4 + 444/11*c_1100_0^3 + 35/11*c_1100_0^2 - 37/22*c_1100_0 + 27/11, c_1100_0^7 + c_1100_0^6 - 3*c_1100_0^5 - 5*c_1100_0^4 - 33/16*c_1100_0^3 - 7/32*c_1100_0^2 - 1/4*c_1100_0 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB