Magma V2.19-8 Wed Aug 21 2013 01:02:40 on localhost [Seed = 2851058250] Type ? for help. Type -D to quit. Loading file "L14n15497__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15497 geometric_solution 12.25540560 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 1 0 1 1 0 0 0 0 1 0 -1 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 -1 0 1 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 0.500871710020 1.499331578029 0 4 6 5 0132 0132 0132 0132 0 0 1 1 0 0 0 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 0 0 0 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.298688818980 0.899327181011 4 0 5 7 0132 0132 2103 0132 1 0 1 1 0 0 1 -1 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 1 0 -1 -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 -0.236195202931 1.062686437061 4 0 8 0 3120 0321 0132 0132 1 0 1 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 -1 1 0 2 0 -1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799560529000 0.600004397018 2 1 9 3 0132 0132 0132 3120 0 0 1 1 0 0 0 0 -1 0 0 1 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 2 0 0 -2 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.132003333158 0.598839525551 2 7 1 10 2103 2103 0132 0132 0 0 1 1 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 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 0.775241019396 0.667372746858 11 11 8 1 0132 1230 3201 0132 0 0 1 0 0 -1 1 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 1 -1 0 -1 0 0 1 -1 0 0 1 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347292567455 0.782674298918 10 5 2 9 1023 2103 0132 2310 1 0 0 1 0 0 1 -1 -1 0 1 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 1 -1 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 0 0.441190357946 0.832263386220 6 12 12 3 2310 0132 0321 0132 1 0 0 0 0 0 0 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 1 0 -1 -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 0.628445628748 0.753581493581 7 10 11 4 3201 2031 1230 0132 0 0 1 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 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 0.892723587664 0.876793018640 9 7 5 12 1302 1023 0132 2310 0 0 0 1 0 1 0 -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 -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 0 0 0 0 0.892723587664 0.876793018640 6 12 6 9 0132 2310 3012 3012 0 0 0 1 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 -2 2 0 1 0 -1 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 0.526327410534 1.067490054837 10 8 8 11 3201 0132 0321 3201 1 0 0 0 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 1 -1 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628445628748 0.753581493581 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0101_4'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0101_9']), '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_3']), 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_12'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_12'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_1001_12'], 'c_1100_3' : d['c_1001_12'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : 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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_11']), '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_0101_3']), 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_9'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_9']), 'c_0011_10' : d['c_0011_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_12, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_0101_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1064514/535*c_1001_12^5 + 371689/535*c_1001_12^4 - 1701533/535*c_1001_12^3 + 688528/535*c_1001_12^2 - 194991/107*c_1001_12 + 50486/107, c_0011_0 - 1, c_0011_10 - 506/535*c_1001_12^5 + 292/535*c_1001_12^4 - 661/535*c_1001_12^3 + 1267/535*c_1001_12^2 - 78/535*c_1001_12 + 231/535, c_0011_11 + 352/535*c_1001_12^5 - 459/535*c_1001_12^4 - 238/535*c_1001_12^3 - 579/535*c_1001_12^2 + 31/535*c_1001_12 - 277/535, c_0011_12 - 1023/535*c_1001_12^5 - 689/535*c_1001_12^4 - 1883/535*c_1001_12^3 - 1009/535*c_1001_12^2 - 809/535*c_1001_12 - 382/535, c_0011_3 - 352/535*c_1001_12^5 + 459/535*c_1001_12^4 + 238/535*c_1001_12^3 + 579/535*c_1001_12^2 + 504/535*c_1001_12 + 277/535, c_0011_5 - 2387/535*c_1001_12^5 + 354/535*c_1001_12^4 - 2967/535*c_1001_12^3 + 499/535*c_1001_12^2 - 1531/535*c_1001_12 + 357/535, c_0011_9 + 2838/535*c_1001_12^5 - 1126/535*c_1001_12^4 + 5103/535*c_1001_12^3 - 1826/535*c_1001_12^2 + 2624/535*c_1001_12 - 528/535, c_0101_0 - 1, c_0101_12 + 352/535*c_1001_12^5 - 459/535*c_1001_12^4 - 238/535*c_1001_12^3 - 1114/535*c_1001_12^2 - 504/535*c_1001_12 - 277/535, c_0101_3 - 1221/535*c_1001_12^5 - 63/535*c_1001_12^4 - 746/535*c_1001_12^3 + 487/535*c_1001_12^2 + 277/535*c_1001_12 - 59/535, c_0101_4 - 803/535*c_1001_12^5 + 1231/535*c_1001_12^4 - 1898/535*c_1001_12^3 + 1906/535*c_1001_12^2 - 1124/535*c_1001_12 + 448/535, c_0101_9 + 506/535*c_1001_12^5 - 292/535*c_1001_12^4 + 661/535*c_1001_12^3 - 732/535*c_1001_12^2 + 78/535*c_1001_12 - 231/535, c_1001_12^6 - 3/11*c_1001_12^5 + 18/11*c_1001_12^4 - 8/11*c_1001_12^3 + 10/11*c_1001_12^2 - 4/11*c_1001_12 + 1/11 ], 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_5, c_0011_9, c_0101_0, c_0101_12, c_0101_3, c_0101_4, c_0101_9, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 524929043/1124864*c_1001_12^9 + 38293877/140608*c_1001_12^8 + 75345421/140608*c_1001_12^7 - 10972103705/2249728*c_1001_12^6 - 3503848367/281216*c_1001_12^5 - 32117789721/2249728*c_1001_12^4 - 1715241025/140608*c_1001_12^3 - 7468301643/1124864*c_1001_12^2 - 2857623355/1124864*c_1001_12 - 1383922053/2249728, c_0011_0 - 1, c_0011_10 - 2*c_1001_12^9 + 2*c_1001_12^8 - 19*c_1001_12^6 - 45*c_1001_12^5 - 59*c_1001_12^4 - 53*c_1001_12^3 - 34*c_1001_12^2 - 15*c_1001_12 - 4, c_0011_11 - 7*c_1001_12^9 + 9*c_1001_12^8 - 139/2*c_1001_12^6 - 277/2*c_1001_12^5 - 281/2*c_1001_12^4 - 92*c_1001_12^3 - 40*c_1001_12^2 - 21/2*c_1001_12 - 1, c_0011_12 + c_1001_12^2 + 2*c_1001_12 + 1, c_0011_3 - c_1001_12, c_0011_5 - c_1001_12^9 + 2*c_1001_12^8 - 2*c_1001_12^7 - 15/2*c_1001_12^6 - 15*c_1001_12^5 - 29/2*c_1001_12^4 - 12*c_1001_12^3 - 5*c_1001_12^2 - 3*c_1001_12 - 1/2, c_0011_9 + 2*c_1001_12^9 - 2*c_1001_12^8 + 19*c_1001_12^6 + 45*c_1001_12^5 + 59*c_1001_12^4 + 53*c_1001_12^3 + 34*c_1001_12^2 + 15*c_1001_12 + 4, c_0101_0 - 1, c_0101_12 - 10*c_1001_12^9 + 9*c_1001_12^8 + 6*c_1001_12^7 - 101*c_1001_12^6 - 471/2*c_1001_12^5 - 267*c_1001_12^4 - 385/2*c_1001_12^3 - 183/2*c_1001_12^2 - 53/2*c_1001_12 - 3, c_0101_3 - c_1001_12^2 - 2*c_1001_12 - 1, c_0101_4 - 6*c_1001_12^9 + 8*c_1001_12^8 - 2*c_1001_12^7 - 57*c_1001_12^6 - 116*c_1001_12^5 - 132*c_1001_12^4 - 100*c_1001_12^3 - 49*c_1001_12^2 - 15*c_1001_12 - 2, c_0101_9 + 14*c_1001_12^9 - 10*c_1001_12^8 - 10*c_1001_12^7 + 139*c_1001_12^6 + 355*c_1001_12^5 + 444*c_1001_12^4 + 354*c_1001_12^3 + 186*c_1001_12^2 + 62*c_1001_12 + 10, c_1001_12^10 - c_1001_12^9 + 19/2*c_1001_12^7 + 45/2*c_1001_12^6 + 59/2*c_1001_12^5 + 53/2*c_1001_12^4 + 17*c_1001_12^3 + 8*c_1001_12^2 + 5/2*c_1001_12 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.680 Total time: 0.880 seconds, Total memory usage: 32.09MB