Magma V2.19-8 Tue Aug 20 2013 23:52:25 on localhost [Seed = 2084181852] Type ? for help. Type -D to quit. Loading file "K12n258__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n258 geometric_solution 11.55692318 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 0132 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 0 0 1 -1 0 0 0 0 -1 1 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507891476643 0.891360613690 0 4 6 5 0132 0132 0132 0132 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 0 0 0 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891506265767 1.105455842978 7 0 0 8 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 -1 1 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507891476643 0.891360613690 6 9 0 10 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1.047304196506 0.691059463620 11 1 7 9 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -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 -3 0 0 3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306222672929 0.421100947877 9 11 1 10 3012 0213 0132 2103 0 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 0 0 0 1 0 0 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491056712397 0.875469418910 3 12 7 1 0132 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581496744975 0.265252379397 2 11 6 4 0132 0132 0321 0132 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 0 0 0 1 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333989097845 1.229138557329 10 11 2 12 0321 1302 0132 1230 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 0 0 0 1 0 -1 0 0 -1 0 1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891506265767 1.105455842978 4 3 12 5 3120 0132 1230 1230 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 1 0 -1 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622181824245 0.154521947922 8 12 3 5 0321 1230 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.761679980318 0.671029869856 4 7 5 8 0132 0132 0213 2031 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 1 0 0 0 0 3 0 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512639139096 0.868880353172 8 6 10 9 3012 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909284328568 1.256232184613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_5'], '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' : negation(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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0110_12']), 'c_1100_3' : negation(d['c_0110_12']), 'c_1100_2' : d['c_0110_12'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0110_12'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0110_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_1001_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], 'c_0101_3' : d['c_0101_1'], '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_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0110_12'], 'c_0110_4' : d['c_0011_5'], '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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_0110_12, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3673/2871*c_1001_11^3 + 11555/2871*c_1001_11^2 + 1403/319*c_1001_11 + 24182/2871, c_0011_0 - 1, c_0011_10 - 1/3*c_1001_11^3 - 2/3*c_1001_11^2 - c_1001_11 + 1/3, c_0011_5 - 1/3*c_1001_11^3 - 2/3*c_1001_11^2 - c_1001_11 + 4/3, c_0011_8 + 1/3*c_1001_11^3 + 2/3*c_1001_11^2 + c_1001_11 - 1/3, c_0101_0 - 1/3*c_1001_11^3 - 5/3*c_1001_11^2 - 3*c_1001_11 - 8/3, c_0101_1 + 1/3*c_1001_11^3 + 2/3*c_1001_11^2 + c_1001_11 - 4/3, c_0101_10 + 1/3*c_1001_11^3 + 2/3*c_1001_11^2 + c_1001_11 - 4/3, c_0101_12 + 1/3*c_1001_11^3 + 2/3*c_1001_11^2 + 2*c_1001_11 + 5/3, c_0101_2 + c_1001_11^2 + 2*c_1001_11 + 4, c_0101_9 - 1/3*c_1001_11^3 - 2/3*c_1001_11^2 - c_1001_11 + 4/3, c_0110_12 + 1, c_1001_10 - c_1001_11^2 - 2*c_1001_11 - 2, c_1001_11^4 + 3*c_1001_11^3 + 8*c_1001_11^2 + 8*c_1001_11 + 11 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_0110_12, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 34181459083523/71967909632*c_1001_11^15 - 155961096087539/71967909632*c_1001_11^14 - 379436464451963/35983954816*c_1001_11^13 - 645848736675739/18572363776*c_1001_11^12 - 21420111704353621/287871638528*c_1001_11^11 - 17299406176392595/143935819264*c_1001_11^10 - 11609516031365073/71967909632*c_1001_11^9 - 12302423928932013/71967909632*c_1001_11^8 - 45634570086692015/287871638528*c_1001_11^7 - 67787752331273891/575743277056*c_1001_11^6 - 10962313916812531/143935819264*c_1001_11^5 - 5620028316726977/143935819264*c_1001_11^4 - 150626091770549/9286181888*c_1001_11^3 - 364776770534655/71967909632*c_1001_11^2 - 66806996261725/71967909632*c_1001_11 - 29141221411113/575743277056, c_0011_0 - 1, c_0011_10 + 2665088288/281124647*c_1001_11^15 - 12484954584/281124647*c_1001_11^14 - 57130228384/281124647*c_1001_11^13 - 6176905924/9068537*c_1001_11^12 - 398762502631/281124647*c_1001_11^11 - 657372132761/281124647*c_1001_11^10 - 869759147027/281124647*c_1001_11^9 - 958758539909/281124647*c_1001_11^8 - 887532010171/281124647*c_1001_11^7 - 704443069401/281124647*c_1001_11^6 - 463213001820/281124647*c_1001_11^5 - 263402552929/281124647*c_1001_11^4 - 3775370033/9068537*c_1001_11^3 - 43173543244/281124647*c_1001_11^2 - 10768001566/281124647*c_1001_11 - 1264801646/281124647, c_0011_5 + 12233948032/281124647*c_1001_11^15 - 66488010048/281124647*c_1001_11^14 - 206460123304/281124647*c_1001_11^13 - 24327011968/9068537*c_1001_11^12 - 1383261850968/281124647*c_1001_11^11 - 2344052475413/281124647*c_1001_11^10 - 2932561026333/281124647*c_1001_11^9 - 3218924795759/281124647*c_1001_11^8 - 2900085461887/281124647*c_1001_11^7 - 2217027151513/281124647*c_1001_11^6 - 1432366724204/281124647*c_1001_11^5 - 751595858534/281124647*c_1001_11^4 - 10390018315/9068537*c_1001_11^3 - 103117711894/281124647*c_1001_11^2 - 21193834351/281124647*c_1001_11 - 1964622199/281124647, c_0011_8 + 179550672/281124647*c_1001_11^15 + 6650756248/281124647*c_1001_11^14 - 50746359584/281124647*c_1001_11^13 - 3297754842/9068537*c_1001_11^12 - 404567277983/281124647*c_1001_11^11 - 563106965489/281124647*c_1001_11^10 - 995787157897/281124647*c_1001_11^9 - 1006680815020/281124647*c_1001_11^8 - 1112508916677/281124647*c_1001_11^7 - 836255779398/281124647*c_1001_11^6 - 612013490536/281124647*c_1001_11^5 - 334215111135/281124647*c_1001_11^4 - 4881437758/9068537*c_1001_11^3 - 53577188791/281124647*c_1001_11^2 - 10655587869/281124647*c_1001_11 - 630051231/281124647, c_0101_0 - 160814936/281124647*c_1001_11^15 - 2312507560/281124647*c_1001_11^14 + 21042927928/281124647*c_1001_11^13 + 1873628267/9068537*c_1001_11^12 + 198404439034/281124647*c_1001_11^11 + 329112269501/281124647*c_1001_11^10 + 536801089654/281124647*c_1001_11^9 + 610194572684/281124647*c_1001_11^8 + 633034073441/281124647*c_1001_11^7 + 515113831786/281124647*c_1001_11^6 + 360445650991/281124647*c_1001_11^5 + 207154514828/281124647*c_1001_11^4 + 3026676031/9068537*c_1001_11^3 + 34366982379/281124647*c_1001_11^2 + 8310382411/281124647*c_1001_11 + 1105164078/281124647, c_0101_1 - 11233635424/281124647*c_1001_11^15 + 70896281488/281124647*c_1001_11^14 + 131925642896/281124647*c_1001_11^13 + 17712586244/9068537*c_1001_11^12 + 731912356870/281124647*c_1001_11^11 + 1295196193444/281124647*c_1001_11^10 + 1259968892849/281124647*c_1001_11^9 + 1367819917988/281124647*c_1001_11^8 + 989194470429/281124647*c_1001_11^7 + 694400451586/281124647*c_1001_11^6 + 361512630384/281124647*c_1001_11^5 + 146752725981/281124647*c_1001_11^4 + 1492206145/9068537*c_1001_11^3 + 4918004969/281124647*c_1001_11^2 - 2016525693/281124647*c_1001_11 + 206669424/281124647, c_0101_10 - 11233635424/281124647*c_1001_11^15 + 70896281488/281124647*c_1001_11^14 + 131925642896/281124647*c_1001_11^13 + 17712586244/9068537*c_1001_11^12 + 731912356870/281124647*c_1001_11^11 + 1295196193444/281124647*c_1001_11^10 + 1259968892849/281124647*c_1001_11^9 + 1367819917988/281124647*c_1001_11^8 + 989194470429/281124647*c_1001_11^7 + 694400451586/281124647*c_1001_11^6 + 361512630384/281124647*c_1001_11^5 + 146752725981/281124647*c_1001_11^4 + 1492206145/9068537*c_1001_11^3 + 4918004969/281124647*c_1001_11^2 - 2016525693/281124647*c_1001_11 + 206669424/281124647, c_0101_12 - c_1001_11, c_0101_2 - 160814936/281124647*c_1001_11^15 - 2312507560/281124647*c_1001_11^14 + 21042927928/281124647*c_1001_11^13 + 1873628267/9068537*c_1001_11^12 + 198404439034/281124647*c_1001_11^11 + 329112269501/281124647*c_1001_11^10 + 536801089654/281124647*c_1001_11^9 + 610194572684/281124647*c_1001_11^8 + 633034073441/281124647*c_1001_11^7 + 515113831786/281124647*c_1001_11^6 + 360445650991/281124647*c_1001_11^5 + 207154514828/281124647*c_1001_11^4 + 3026676031/9068537*c_1001_11^3 + 34366982379/281124647*c_1001_11^2 + 8310382411/281124647*c_1001_11 + 1105164078/281124647, c_0101_9 - 3600759872/281124647*c_1001_11^15 + 26656425024/281124647*c_1001_11^14 + 19255095096/281124647*c_1001_11^13 + 3870623760/9068537*c_1001_11^12 + 13258488272/281124647*c_1001_11^11 + 50386401743/281124647*c_1001_11^10 - 237428825444/281124647*c_1001_11^9 - 319709675760/281124647*c_1001_11^8 - 525841222756/281124647*c_1001_11^7 - 511587601186/281124647*c_1001_11^6 - 437447351797/281124647*c_1001_11^5 - 300675123349/281124647*c_1001_11^4 - 5070623193/9068537*c_1001_11^3 - 68051003287/281124647*c_1001_11^2 - 19441047760/281124647*c_1001_11 - 2303396701/281124647, c_0110_12 + 1, c_1001_10 + 9594956064/281124647*c_1001_11^15 - 52534145592/281124647*c_1001_11^14 - 159742678968/281124647*c_1001_11^13 - 18910245636/9068537*c_1001_11^12 - 1056453795667/281124647*c_1001_11^11 - 1786731867376/281124647*c_1001_11^10 - 2191427948624/281124647*c_1001_11^9 - 2389576060788/281124647*c_1001_11^8 - 2107080110523/281124647*c_1001_11^7 - 1592829853106/281124647*c_1001_11^6 - 1004089939044/281124647*c_1001_11^5 - 516192541932/281124647*c_1001_11^4 - 6891794683/9068537*c_1001_11^3 - 65371075576/281124647*c_1001_11^2 - 11994488439/281124647*c_1001_11 - 682848513/281124647, c_1001_11^16 - 6*c_1001_11^15 - 13*c_1001_11^14 - 455/8*c_1001_11^13 - 715/8*c_1001_11^12 - 687/4*c_1001_11^11 - 401/2*c_1001_11^10 - 248*c_1001_11^9 - 889/4*c_1001_11^8 - 1551/8*c_1001_11^7 - 1071/8*c_1001_11^6 - 83*c_1001_11^5 - 171/4*c_1001_11^4 - 71/4*c_1001_11^3 - 6*c_1001_11^2 - 11/8*c_1001_11 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.500 Total time: 5.710 seconds, Total memory usage: 132.03MB