Magma V2.19-8 Wed Aug 21 2013 00:54:54 on localhost [Seed = 1932880176] Type ? for help. Type -D to quit. Loading file "L12n738__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n738 geometric_solution 12.06468902 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 1 -1 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 0.570217736377 0.507162568649 0 4 5 3 0132 0132 0132 2103 1 0 1 1 0 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 -9 9 -1 0 1 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972519418949 1.147617033839 0 0 6 4 2103 0132 0132 3120 1 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 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 0.020853693518 0.870871465755 5 7 0 1 0132 0132 0132 2103 1 0 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 -1 1 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778835926852 0.834549692474 2 1 8 6 3120 0132 0132 3120 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 0 -8 8 0 0 -1 1 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972519418949 1.147617033839 3 9 8 1 0132 0132 3120 0132 1 0 1 1 0 0 1 -1 0 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 -9 9 0 0 1 -1 0 9 0 -9 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450635957141 0.363708897106 4 10 8 2 3120 0132 2103 0132 1 0 1 1 0 0 0 0 -1 0 0 1 -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 -1 0 0 1 8 -8 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296710502522 1.119619724437 11 3 12 10 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 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 1 -1 0 9 0 0 -9 -8 0 0 8 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793557917338 1.344872700940 6 11 5 4 2103 0321 3120 0132 1 0 1 1 0 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 -8 8 0 0 -1 1 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450635957141 0.363708897106 12 5 10 11 2103 0132 2103 1302 1 1 1 1 0 0 0 0 1 0 0 -1 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 -8 0 0 8 -8 8 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576330897081 0.851777043312 9 6 7 12 2103 0132 0132 2310 1 1 1 1 0 0 0 0 0 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 9 -9 0 -8 0 8 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455099732006 0.805324756183 7 12 9 8 0132 2103 2031 0321 1 1 1 1 0 0 0 0 1 0 0 -1 1 -1 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 -9 0 0 9 -9 9 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111511900072 0.726447380800 10 11 9 7 3201 2103 2103 0132 1 1 1 1 0 1 -1 0 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 -9 8 1 -8 0 8 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345997351681 0.599637751200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : negation(d['c_1001_4']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_8'], 's_3_11' : 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' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_4']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0101_5']), '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' : d['c_0011_12'], '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_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_0']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_1001_10, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 163033/36592*c_1001_5^15 - 2164527/36592*c_1001_5^14 + 3405151/9148*c_1001_5^13 - 27388187/18296*c_1001_5^12 + 19903251/4574*c_1001_5^11 - 89359993/9148*c_1001_5^10 + 644172025/36592*c_1001_5^9 - 952458291/36592*c_1001_5^8 + 1168496757/36592*c_1001_5^7 - 596343817/18296*c_1001_5^6 + 251669817/9148*c_1001_5^5 - 346300933/18296*c_1001_5^4 + 188147091/18296*c_1001_5^3 - 153122303/36592*c_1001_5^2 + 10278737/9148*c_1001_5 - 312981/2287, c_0011_0 - 1, c_0011_10 + 2809/18296*c_1001_5^15 - 18275/9148*c_1001_5^14 + 226025/18296*c_1001_5^13 - 448011/9148*c_1001_5^12 + 1285121/9148*c_1001_5^11 - 1419605/4574*c_1001_5^10 + 9996797/18296*c_1001_5^9 - 7132845/9148*c_1001_5^8 + 8308007/9148*c_1001_5^7 - 15738809/18296*c_1001_5^6 + 5953123/9148*c_1001_5^5 - 3469771/9148*c_1001_5^4 + 716441/4574*c_1001_5^3 - 670777/18296*c_1001_5^2 - 10307/18296*c_1001_5 + 6869/2287, c_0011_11 + 3685/18296*c_1001_5^15 - 24391/9148*c_1001_5^14 + 302869/18296*c_1001_5^13 - 591819/9148*c_1001_5^12 + 1642181/9148*c_1001_5^11 - 1726649/4574*c_1001_5^10 + 11435673/18296*c_1001_5^9 - 7603713/9148*c_1001_5^8 + 8169883/9148*c_1001_5^7 - 14086629/18296*c_1001_5^6 + 4754103/9148*c_1001_5^5 - 2379819/9148*c_1001_5^4 + 384141/4574*c_1001_5^3 - 144709/18296*c_1001_5^2 - 115351/18296*c_1001_5 + 6935/2287, c_0011_12 + 10037/18296*c_1001_5^15 - 67089/9148*c_1001_5^14 + 845205/18296*c_1001_5^13 - 1686033/9148*c_1001_5^12 + 4811733/9148*c_1001_5^11 - 5248701/4574*c_1001_5^10 + 36440385/18296*c_1001_5^9 - 25740747/9148*c_1001_5^8 + 29936111/9148*c_1001_5^7 - 57446157/18296*c_1001_5^6 + 22580121/9148*c_1001_5^5 - 14319855/9148*c_1001_5^4 + 3554073/4574*c_1001_5^3 - 5248037/18296*c_1001_5^2 + 1290869/18296*c_1001_5 - 39027/4574, c_0011_8 + 3685/18296*c_1001_5^15 - 24391/9148*c_1001_5^14 + 302869/18296*c_1001_5^13 - 591819/9148*c_1001_5^12 + 1642181/9148*c_1001_5^11 - 1726649/4574*c_1001_5^10 + 11435673/18296*c_1001_5^9 - 7603713/9148*c_1001_5^8 + 8169883/9148*c_1001_5^7 - 14086629/18296*c_1001_5^6 + 4754103/9148*c_1001_5^5 - 2379819/9148*c_1001_5^4 + 384141/4574*c_1001_5^3 - 144709/18296*c_1001_5^2 - 115351/18296*c_1001_5 + 6935/2287, c_0101_0 - 1, c_0101_1 - c_1001_5 + 1, c_0101_10 + 4221/18296*c_1001_5^15 - 26525/9148*c_1001_5^14 + 319645/18296*c_1001_5^13 - 621101/9148*c_1001_5^12 + 1753637/9148*c_1001_5^11 - 1916839/4574*c_1001_5^10 + 13463633/18296*c_1001_5^9 - 9691787/9148*c_1001_5^8 + 11561567/9148*c_1001_5^7 - 22892805/18296*c_1001_5^6 + 9353385/9148*c_1001_5^5 - 6215687/9148*c_1001_5^4 + 1630753/4574*c_1001_5^3 - 2578501/18296*c_1001_5^2 + 691357/18296*c_1001_5 - 24239/4574, c_0101_4 - c_1001_5 + 1, c_0101_5 - 347/2287*c_1001_5^15 + 8803/4574*c_1001_5^14 - 52681/4574*c_1001_5^13 + 100772/2287*c_1001_5^12 - 280370/2287*c_1001_5^11 + 608905/2287*c_1001_5^10 - 1074244/2287*c_1001_5^9 + 3139565/4574*c_1001_5^8 - 3832885/4574*c_1001_5^7 + 3912511/4574*c_1001_5^6 - 1654337/2287*c_1001_5^5 + 1137572/2287*c_1001_5^4 - 613136/2287*c_1001_5^3 + 241809/2287*c_1001_5^2 - 123289/4574*c_1001_5 + 5618/2287, c_1001_10 + c_1001_5, c_1001_4 - 2809/18296*c_1001_5^15 + 18275/9148*c_1001_5^14 - 226025/18296*c_1001_5^13 + 448011/9148*c_1001_5^12 - 1285121/9148*c_1001_5^11 + 1419605/4574*c_1001_5^10 - 9996797/18296*c_1001_5^9 + 7132845/9148*c_1001_5^8 - 8308007/9148*c_1001_5^7 + 15738809/18296*c_1001_5^6 - 5953123/9148*c_1001_5^5 + 3469771/9148*c_1001_5^4 - 716441/4574*c_1001_5^3 + 670777/18296*c_1001_5^2 + 10307/18296*c_1001_5 - 6869/2287, c_1001_5^16 - 14*c_1001_5^15 + 93*c_1001_5^14 - 394*c_1001_5^13 + 1202*c_1001_5^12 - 2820*c_1001_5^11 + 5293*c_1001_5^10 - 8138*c_1001_5^9 + 10386*c_1001_5^8 - 11061*c_1001_5^7 + 9810*c_1001_5^6 - 7182*c_1001_5^5 + 4260*c_1001_5^4 - 1985*c_1001_5^3 + 685*c_1001_5^2 - 156*c_1001_5 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB