Magma V2.19-8 Tue Aug 20 2013 18:38:03 on localhost [Seed = 1831653619] Type ? for help. Type -D to quit. Loading file "11_69__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_69 geometric_solution 12.43390937 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 5 0 -5 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567280616954 0.735573720477 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.106876772884 0.977313852365 7 0 5 8 1023 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 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 -1 0 1 0 0 4 -4 -4 4 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.969822145408 0.711789330774 9 8 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 5 0 -5 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594137871695 1.009966786517 7 8 0 11 0132 1023 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 -5 0 0 0 0 -5 0 0 5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.342569941485 0.852467473138 9 1 10 2 1023 0132 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 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 4 -4 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.658158434122 0.263745480206 12 10 1 11 0132 0213 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783249668797 0.824837763159 4 2 9 1 0132 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 4 0 -4 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509537531578 0.557569294798 4 3 2 13 1023 0132 0132 0132 0 0 0 0 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 0 -1 1 -4 0 4 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.549054803234 0.199261395242 3 5 12 7 0132 1023 0132 0132 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 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687357557988 0.780002042768 11 5 6 3 0132 0213 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154421304059 0.407670140300 10 13 4 6 0132 1023 0132 0213 0 0 0 0 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 -5 5 0 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364905462512 1.069625761992 6 13 13 9 0132 3120 1230 0132 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 -5 5 0 0 0 1 -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 0.510424686855 0.826218111270 11 12 8 12 1023 3120 0132 3012 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 0 -1 1 5 0 0 -5 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530808314797 0.895803835534 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_0110_6' : d['c_0011_12'], 'c_1001_11' : d['c_0101_13'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_1001_12']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_12']), 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_0'], 'c_1010_13' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_0110_13'], 'c_1010_10' : negation(d['c_1001_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 'c_0101_13' : d['c_0101_13'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : negation(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_13' : 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' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_13' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_0110_13'], 'c_1100_6' : d['c_0110_13'], 'c_1100_1' : d['c_0110_13'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_6'], 'c_1100_10' : d['c_1010_6'], 'c_1100_13' : negation(d['c_1001_12']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0101_13'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_1001_12']), 's_3_1' : d['1'], 's_2_8' : 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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_13'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_11'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0101_0'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], '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_0'], 'c_0101_8' : d['c_0101_8'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0110_13'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_2, c_0101_8, c_0110_13, c_1001_0, c_1001_10, c_1001_12, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 4564742187415/735001752*c_1010_6^9 + 42344608976723/735001752*c_1010_6^8 - 25204197106219/245000584*c_1010_6^7 + 10330939312087/122500292*c_1010_6^6 - 76477076366029/735001752*c_1010_6^5 + 50001880944878/91875219*c_1010_6^4 + 2699822792617/245000584*c_1010_6^3 + 54029692642051/245000584*c_1010_6^2 + 233221289054369/367500876*c_1010_6 + 132093224120311/183750438, c_0011_0 - 1, c_0011_10 + 5551/294708*c_1010_6^9 - 105055/589416*c_1010_6^8 + 66209/196472*c_1010_6^7 - 23901/98236*c_1010_6^6 + 138167/589416*c_1010_6^5 - 937349/589416*c_1010_6^4 - 5037/196472*c_1010_6^3 + 13151/49118*c_1010_6^2 - 298211/147354*c_1010_6 - 90046/73677, c_0011_12 - 6955/589416*c_1010_6^9 + 16319/147354*c_1010_6^8 - 39541/196472*c_1010_6^7 + 24715/196472*c_1010_6^6 - 17833/147354*c_1010_6^5 + 285665/294708*c_1010_6^4 - 7023/196472*c_1010_6^3 - 13021/98236*c_1010_6^2 + 98168/73677*c_1010_6 + 63791/73677, c_0101_0 + 4757/1178832*c_1010_6^9 - 45631/1178832*c_1010_6^8 + 2027/24559*c_1010_6^7 - 46227/392944*c_1010_6^6 + 220187/1178832*c_1010_6^5 - 437249/1178832*c_1010_6^4 - 3021/98236*c_1010_6^3 - 7437/24559*c_1010_6^2 - 868/1797*c_1010_6 + 15490/73677, c_0101_1 - 5159/1178832*c_1010_6^9 + 58531/1178832*c_1010_6^8 - 30887/196472*c_1010_6^7 + 2145/9584*c_1010_6^6 - 309623/1178832*c_1010_6^5 + 610589/1178832*c_1010_6^4 - 3103/4792*c_1010_6^3 + 4720/24559*c_1010_6^2 - 82715/147354*c_1010_6 - 67942/73677, c_0101_11 - 4757/1178832*c_1010_6^9 + 45631/1178832*c_1010_6^8 - 2027/24559*c_1010_6^7 + 46227/392944*c_1010_6^6 - 220187/1178832*c_1010_6^5 + 437249/1178832*c_1010_6^4 + 3021/98236*c_1010_6^3 + 7437/24559*c_1010_6^2 + 868/1797*c_1010_6 - 15490/73677, c_0101_13 - 202/73677*c_1010_6^9 + 12925/589416*c_1010_6^8 - 2139/196472*c_1010_6^7 - 3089/98236*c_1010_6^6 - 24389/589416*c_1010_6^5 + 180653/589416*c_1010_6^4 + 27551/196472*c_1010_6^3 + 54699/98236*c_1010_6^2 - 2233/147354*c_1010_6 - 4355/73677, c_0101_2 + 3377/294708*c_1010_6^9 - 29413/294708*c_1010_6^8 + 12435/98236*c_1010_6^7 - 482/24559*c_1010_6^6 + 13307/294708*c_1010_6^5 - 121165/147354*c_1010_6^4 - 63121/98236*c_1010_6^3 + 2153/98236*c_1010_6^2 - 202873/147354*c_1010_6 - 116243/73677, c_0101_8 + 3025/589416*c_1010_6^9 - 14137/294708*c_1010_6^8 + 18117/196472*c_1010_6^7 - 493/4792*c_1010_6^6 + 22799/294708*c_1010_6^5 - 28046/73677*c_1010_6^4 + 83/4792*c_1010_6^3 - 51647/98236*c_1010_6^2 - 114373/147354*c_1010_6 - 78836/73677, c_0110_13 + 10333/589416*c_1010_6^9 - 94979/589416*c_1010_6^8 + 26151/98236*c_1010_6^7 - 23125/196472*c_1010_6^6 + 56011/589416*c_1010_6^5 - 728419/589416*c_1010_6^4 - 65447/98236*c_1010_6^3 + 24633/98236*c_1010_6^2 - 272683/147354*c_1010_6 - 82763/73677, c_1001_0 + 1825/294708*c_1010_6^9 - 35077/589416*c_1010_6^8 + 24193/196472*c_1010_6^7 - 3386/24559*c_1010_6^6 + 134597/589416*c_1010_6^5 - 467033/589416*c_1010_6^4 + 62483/196472*c_1010_6^3 - 51681/98236*c_1010_6^2 - 8909/147354*c_1010_6 - 53815/73677, c_1001_10 + 590/73677*c_1010_6^9 - 18337/294708*c_1010_6^8 + 352/24559*c_1010_6^7 + 14705/98236*c_1010_6^6 - 41797/294708*c_1010_6^5 - 24785/73677*c_1010_6^4 - 54069/49118*c_1010_6^3 - 865/98236*c_1010_6^2 - 191731/147354*c_1010_6 - 58073/73677, c_1001_12 - 3025/589416*c_1010_6^9 + 14137/294708*c_1010_6^8 - 18117/196472*c_1010_6^7 + 493/4792*c_1010_6^6 - 22799/294708*c_1010_6^5 + 28046/73677*c_1010_6^4 - 83/4792*c_1010_6^3 + 51647/98236*c_1010_6^2 + 114373/147354*c_1010_6 + 5159/73677, c_1010_6^10 - 9*c_1010_6^9 + 14*c_1010_6^8 - 9*c_1010_6^7 + 13*c_1010_6^6 - 83*c_1010_6^5 - 26*c_1010_6^4 - 36*c_1010_6^3 - 112*c_1010_6^2 - 144*c_1010_6 - 32 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_2, c_0101_8, c_0110_13, c_1001_0, c_1001_10, c_1001_12, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 9437317/39722727*c_1010_6^10 + 6508270/39722727*c_1010_6^9 + 16561847/39722727*c_1010_6^8 - 44858890/39722727*c_1010_6^7 + 4177760/13240909*c_1010_6^6 - 29960594/13240909*c_1010_6^5 - 2018171/13240909*c_1010_6^4 - 9069473/2336631*c_1010_6^3 + 1870004/13240909*c_1010_6^2 - 1067414/13240909*c_1010_6 + 48748793/39722727, c_0011_0 - 1, c_0011_10 - 11/41*c_1010_6^10 + 6/41*c_1010_6^9 + 10/41*c_1010_6^8 + 138/41*c_1010_6^7 + 77/41*c_1010_6^6 + 316/41*c_1010_6^5 + 163/41*c_1010_6^4 + 447/41*c_1010_6^3 + 114/41*c_1010_6^2 + 175/41*c_1010_6 - 1/41, c_0011_12 - 19/41*c_1010_6^10 - 53/41*c_1010_6^9 - 143/41*c_1010_6^8 - 194/41*c_1010_6^7 - 359/41*c_1010_6^6 - 386/41*c_1010_6^5 - 490/41*c_1010_6^4 - 361/41*c_1010_6^3 - 310/41*c_1010_6^2 - 145/41*c_1010_6 - 39/41, c_0101_0 - 34/41*c_1010_6^10 - 97/41*c_1010_6^9 - 230/41*c_1010_6^8 - 263/41*c_1010_6^7 - 418/41*c_1010_6^6 - 421/41*c_1010_6^5 - 469/41*c_1010_6^4 - 195/41*c_1010_6^3 - 39/41*c_1010_6^2 + 34/41*c_1010_6 + 23/41, c_0101_1 + c_1010_6, c_0101_11 + 34/41*c_1010_6^10 + 97/41*c_1010_6^9 + 230/41*c_1010_6^8 + 263/41*c_1010_6^7 + 418/41*c_1010_6^6 + 421/41*c_1010_6^5 + 469/41*c_1010_6^4 + 195/41*c_1010_6^3 + 39/41*c_1010_6^2 - 34/41*c_1010_6 - 23/41, c_0101_13 - 5/41*c_1010_6^10 - 42/41*c_1010_6^9 - 111/41*c_1010_6^8 - 228/41*c_1010_6^7 - 293/41*c_1010_6^6 - 449/41*c_1010_6^5 - 485/41*c_1010_6^4 - 505/41*c_1010_6^3 - 347/41*c_1010_6^2 - 159/41*c_1010_6 - 75/41, c_0101_2 - 15/41*c_1010_6^10 - 85/41*c_1010_6^9 - 251/41*c_1010_6^8 - 479/41*c_1010_6^7 - 715/41*c_1010_6^6 - 937/41*c_1010_6^5 - 1168/41*c_1010_6^4 - 1064/41*c_1010_6^3 - 877/41*c_1010_6^2 - 313/41*c_1010_6 - 266/41, c_0101_8 - c_1010_6^9 - 3*c_1010_6^8 - 7*c_1010_6^7 - 9*c_1010_6^6 - 14*c_1010_6^5 - 17*c_1010_6^4 - 17*c_1010_6^3 - 13*c_1010_6^2 - 5*c_1010_6 - 5, c_0110_13 + 13/41*c_1010_6^10 + 60/41*c_1010_6^9 + 141/41*c_1010_6^8 + 232/41*c_1010_6^7 + 278/41*c_1010_6^6 + 413/41*c_1010_6^5 + 359/41*c_1010_6^4 + 370/41*c_1010_6^3 + 74/41*c_1010_6^2 + 110/41*c_1010_6 - 10/41, c_1001_0 - 5/41*c_1010_6^10 - 42/41*c_1010_6^9 - 111/41*c_1010_6^8 - 228/41*c_1010_6^7 - 293/41*c_1010_6^6 - 449/41*c_1010_6^5 - 485/41*c_1010_6^4 - 505/41*c_1010_6^3 - 347/41*c_1010_6^2 - 159/41*c_1010_6 - 157/41, c_1001_10 - 5/41*c_1010_6^10 - 1/41*c_1010_6^9 - 29/41*c_1010_6^8 - 23/41*c_1010_6^7 - 129/41*c_1010_6^6 - 39/41*c_1010_6^5 - 198/41*c_1010_6^4 - 54/41*c_1010_6^3 - 183/41*c_1010_6^2 + 5/41*c_1010_6 - 34/41, c_1001_12 + 1, c_1010_6^11 + 3*c_1010_6^10 + 8*c_1010_6^9 + 11*c_1010_6^8 + 19*c_1010_6^7 + 21*c_1010_6^6 + 27*c_1010_6^5 + 20*c_1010_6^4 + 16*c_1010_6^3 + 8*c_1010_6^2 + 4*c_1010_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.620 Total time: 9.839 seconds, Total memory usage: 144.38MB