Magma V2.19-8 Wed Aug 21 2013 00:54:28 on localhost [Seed = 695153524] Type ? for help. Type -D to quit. Loading file "L12n283__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n283 geometric_solution 12.27656278 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 2103 1 0 1 1 0 0 0 0 -1 0 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 1 0 -1 -1 0 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579097612659 0.884769788729 0 4 6 5 0132 0132 0132 0132 0 0 1 1 0 0 0 0 1 0 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 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 0.606323501408 0.762942383435 7 0 6 0 0132 0132 3012 2103 1 0 1 1 0 0 0 0 -1 0 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 -1 0 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579097612659 0.884769788729 7 6 6 0 2031 2031 3120 0132 1 0 1 0 0 0 0 0 2 0 0 -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 1 0 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 0.482103104558 0.791264748372 8 1 9 10 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 -1 0 0 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 -0.201070399966 1.285055776428 8 11 1 12 3012 0132 0132 0132 0 0 1 1 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 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.305015822794 0.921216558895 3 2 3 1 1302 1230 3120 0132 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 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 0.579097612659 0.884769788729 2 8 3 10 0132 0132 1302 2031 0 0 1 1 0 0 -2 2 1 0 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 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 0.606323501408 0.762942383435 4 7 11 5 0132 0132 0321 1230 0 1 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 0 0 0 0 0 0 1 0 0 -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 0.516665963123 0.507152355819 11 12 12 4 0321 1023 0213 0132 0 1 1 1 0 -1 1 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 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198082794016 1.144513757835 11 7 4 12 3201 1302 0132 0213 0 1 0 1 0 1 0 -1 0 0 0 0 0 -2 0 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 1 0 -1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106244586876 0.559865424330 9 5 8 10 0321 0132 0321 2310 0 1 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 0 0 0 0 0 0 1 0 0 -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 -0.465403766583 1.485684420578 9 9 5 10 1023 0213 0132 0213 0 0 1 1 0 -1 0 1 1 0 1 -2 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 1 -1 0 0 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.853179402524 0.848323018563 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_2'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0110_10']), 'c_1001_4' : negation(d['c_0110_10']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0011_12'], 's_2_0' : negation(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' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1010_12'], 'c_1100_8' : d['c_0101_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1010_12'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1010_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0110_10']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_12'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], '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' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], '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' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_3, c_0110_10, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 11175/1856*c_1010_12^7 + 29267/928*c_1010_12^6 + 29293/928*c_1010_12^5 - 110675/1856*c_1010_12^4 - 121583/1856*c_1010_12^3 + 150437/1856*c_1010_12^2 + 183341/1856*c_1010_12 - 7603/1856, c_0011_0 - 1, c_0011_10 + 17/116*c_1010_12^7 + 45/58*c_1010_12^6 + 37/58*c_1010_12^5 - 213/116*c_1010_12^4 - 185/116*c_1010_12^3 + 279/116*c_1010_12^2 + 211/116*c_1010_12 - 81/116, c_0011_11 + 513/3712*c_1010_12^7 + 1201/1856*c_1010_12^6 + 847/1856*c_1010_12^5 - 4517/3712*c_1010_12^4 - 2553/3712*c_1010_12^3 + 5915/3712*c_1010_12^2 + 8155/3712*c_1010_12 - 1141/3712, c_0011_12 - 103/3712*c_1010_12^7 - 375/1856*c_1010_12^6 - 521/1856*c_1010_12^5 + 1891/3712*c_1010_12^4 + 1967/3712*c_1010_12^3 - 5341/3712*c_1010_12^2 - 1565/3712*c_1010_12 + 2067/3712, c_0011_3 + 21/116*c_1010_12^7 + 59/58*c_1010_12^6 + 73/58*c_1010_12^5 - 229/116*c_1010_12^4 - 365/116*c_1010_12^3 + 331/116*c_1010_12^2 + 479/116*c_1010_12 - 141/116, c_0011_6 + 307/1856*c_1010_12^7 + 915/928*c_1010_12^6 + 1197/928*c_1010_12^5 - 3519/1856*c_1010_12^4 - 6043/1856*c_1010_12^3 + 5441/1856*c_1010_12^2 + 6881/1856*c_1010_12 + 209/1856, c_0101_0 - 1, c_0101_1 + 21/116*c_1010_12^7 + 59/58*c_1010_12^6 + 73/58*c_1010_12^5 - 229/116*c_1010_12^4 - 365/116*c_1010_12^3 + 331/116*c_1010_12^2 + 479/116*c_1010_12 - 141/116, c_0101_12 - 9/232*c_1010_12^7 - 17/116*c_1010_12^6 - 23/116*c_1010_12^5 - 51/232*c_1010_12^4 + 57/232*c_1010_12^3 + 173/232*c_1010_12^2 - 139/232*c_1010_12 - 155/232, c_0101_2 - 1, c_0101_3 - 1/58*c_1010_12^7 - 18/29*c_1010_12^6 - 38/29*c_1010_12^5 + 91/58*c_1010_12^4 + 161/58*c_1010_12^3 - 129/58*c_1010_12^2 - 183/58*c_1010_12 + 73/58, c_0110_10 - 17/116*c_1010_12^7 - 45/58*c_1010_12^6 - 37/58*c_1010_12^5 + 213/116*c_1010_12^4 + 185/116*c_1010_12^3 - 279/116*c_1010_12^2 - 211/116*c_1010_12 + 81/116, c_1010_12^8 + 5*c_1010_12^7 + 4*c_1010_12^6 - 11*c_1010_12^5 - 8*c_1010_12^4 + 16*c_1010_12^3 + 12*c_1010_12^2 - 4*c_1010_12 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB