Magma V2.19-8 Wed Aug 21 2013 01:09:24 on localhost [Seed = 3937203047] Type ? for help. Type -D to quit. Loading file "L14n459__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n459 geometric_solution 11.98379141 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 0321 0132 1 1 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 0 0 0 0 1 0 -1 0 0 1 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648122866195 0.668161212970 0 1 1 3 0132 3201 2310 1230 1 1 1 1 0 0 0 0 0 0 1 -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 0 0 0 0 6 -6 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.815101781231 0.616741326036 4 0 0 5 0132 0132 0321 0132 1 1 1 1 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 -1 0 1 1 0 0 -1 0 0 0 0 7 -6 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648122866195 0.668161212970 1 4 0 6 3012 0321 0132 0132 1 1 1 1 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 -7 1 6 0 0 1 -1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617050173548 1.171684525115 2 7 6 3 0132 0132 0132 0321 1 1 1 1 0 -1 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 0 0 0 -7 0 7 -1 0 1 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648604960976 0.370536360524 8 9 2 10 0132 0132 0132 0132 1 1 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 0 0 0 0 0 -1 1 0 0 1 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814861904435 1.214910715381 7 8 3 4 0213 0213 0132 0132 1 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 6 -6 0 0 0 1 -1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805012332462 0.728971962462 6 4 11 8 0213 0132 0132 0213 1 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 7 -7 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.871068914914 0.823572302448 5 12 6 7 0132 0132 0213 0213 1 1 1 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 6 -6 0 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.161834855147 0.905796350929 12 5 12 10 0132 0132 3120 0213 1 0 1 1 0 0 0 0 0 0 1 -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 -1 0 0 1 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177147533270 0.843523875191 11 11 5 9 0132 1230 0132 0213 1 1 0 1 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 -1 0 -1 0 1 0 1 0 0 -1 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.822852466730 0.843523875191 10 12 10 7 0132 0321 3012 0132 1 1 1 0 0 0 -1 1 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 0 -7 7 1 0 -1 0 7 0 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407430952218 0.607455357690 9 8 9 11 0132 0132 3120 0321 1 0 1 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 0 0 0 0 0 0 0 -6 6 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 -0.177147533270 0.843523875191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_4'], 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_6'], 'c_1010_12' : d['c_1001_6'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_0101_11'], '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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1001_2'], 'c_1100_3' : d['c_1001_2'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_11'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_1001_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : negation(d['c_1001_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(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_10']), 's_1_7' : negation(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' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(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' : d['c_0011_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_6'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0101_4']), 'c_1100_8' : d['c_1001_4']})} 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_12, c_0011_3, c_0011_6, c_0101_1, c_0101_11, c_0101_4, c_1001_0, c_1001_10, c_1001_2, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 465203586773516857/58670077382019*c_1001_6^8 + 227521921245880321/58670077382019*c_1001_6^7 + 1294023883500295481/39113384921346*c_1001_6^6 + 34002007271250047/2550872929653*c_1001_6^5 + 1056940291297119728/19556692460673*c_1001_6^4 + 1055868882821006842/58670077382019*c_1001_6^3 + 929548102021960970/19556692460673*c_1001_6^2 + 378361039406872085/39113384921346*c_1001_6 + 2195333010754688513/117340154764038, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 221942/188633*c_1001_6^8 + 154170/188633*c_1001_6^7 + 689128/188633*c_1001_6^6 + 354964/188633*c_1001_6^5 + 494380/188633*c_1001_6^4 + 341722/188633*c_1001_6^3 + 18284/188633*c_1001_6^2 - 229963/188633*c_1001_6 - 218300/188633, c_0011_3 + 41307/188633*c_1001_6^8 - 338625/188633*c_1001_6^7 - 46739/188633*c_1001_6^6 - 1042840/188633*c_1001_6^5 - 265823/188633*c_1001_6^4 - 1196111/188633*c_1001_6^3 - 117573/188633*c_1001_6^2 - 776955/188633*c_1001_6 - 122315/188633, c_0011_6 + 221942/188633*c_1001_6^8 + 154170/188633*c_1001_6^7 + 689128/188633*c_1001_6^6 + 354964/188633*c_1001_6^5 + 494380/188633*c_1001_6^4 + 341722/188633*c_1001_6^3 + 18284/188633*c_1001_6^2 + 147303/188633*c_1001_6 - 218300/188633, c_0101_1 - 281008/188633*c_1001_6^8 - 8292/188633*c_1001_6^7 - 636168/188633*c_1001_6^6 + 89933/188633*c_1001_6^5 - 320423/188633*c_1001_6^4 + 231685/188633*c_1001_6^3 + 36868/188633*c_1001_6^2 + 351372/188633*c_1001_6 + 270483/188633, c_0101_11 - 1, c_0101_4 + 259609/188633*c_1001_6^8 + 301192/188633*c_1001_6^7 + 876537/188633*c_1001_6^6 + 946968/188633*c_1001_6^5 + 918830/188633*c_1001_6^4 + 991449/188633*c_1001_6^3 + 436789/188633*c_1001_6^2 + 544815/188633*c_1001_6 - 33637/188633, c_1001_0 + c_1001_6, c_1001_10 - 221942/188633*c_1001_6^8 - 154170/188633*c_1001_6^7 - 689128/188633*c_1001_6^6 - 354964/188633*c_1001_6^5 - 494380/188633*c_1001_6^4 - 341722/188633*c_1001_6^3 - 18284/188633*c_1001_6^2 + 41330/188633*c_1001_6 + 218300/188633, c_1001_2 - 273126/188633*c_1001_6^8 + 11676/188633*c_1001_6^7 - 861690/188633*c_1001_6^6 - 51837/188633*c_1001_6^5 - 1058421/188633*c_1001_6^4 - 168178/188633*c_1001_6^3 - 806173/188633*c_1001_6^2 + 26088/188633*c_1001_6 - 178040/188633, c_1001_4 + 37667/188633*c_1001_6^8 + 147022/188633*c_1001_6^7 + 187409/188633*c_1001_6^6 + 592004/188633*c_1001_6^5 + 424450/188633*c_1001_6^4 + 649727/188633*c_1001_6^3 + 418505/188633*c_1001_6^2 + 208879/188633*c_1001_6 + 184663/188633, c_1001_6^9 + 3/7*c_1001_6^8 + 29/7*c_1001_6^7 + 10/7*c_1001_6^6 + 47/7*c_1001_6^5 + 13/7*c_1001_6^4 + 41/7*c_1001_6^3 + 6/7*c_1001_6^2 + 16/7*c_1001_6 - 1/7 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_6, c_0101_1, c_0101_11, c_0101_4, c_1001_0, c_1001_10, c_1001_2, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1888543670058900924/5811521639932019375*c_1001_6^9 - 542525831518318603/830217377133145625*c_1001_6^8 + 2538400035039361261/5811521639932019375*c_1001_6^7 - 39094730538012223857/11623043279864038750*c_1001_6^6 - 9779378030907769717/5811521639932019375*c_1001_6^5 - 35438009314531218868/5811521639932019375*c_1001_6^4 - 226013311998409132/89408025229723375*c_1001_6^3 - 28597789532644281126/5811521639932019375*c_1001_6^2 - 12382113642212838007/11623043279864038750*c_1001_6 - 15884077505115485483/11623043279864038750, c_0011_0 - 1, c_0011_10 - 1, c_0011_12 + 721400/35971447*c_1001_6^9 + 4717894/35971447*c_1001_6^8 + 2197774/35971447*c_1001_6^7 - 48411304/35971447*c_1001_6^6 - 11628452/35971447*c_1001_6^5 - 176560652/35971447*c_1001_6^4 - 26132986/35971447*c_1001_6^3 - 120372668/35971447*c_1001_6^2 + 53020993/35971447*c_1001_6 - 24323572/35971447, c_0011_3 + 1558852/35971447*c_1001_6^9 - 11062203/35971447*c_1001_6^8 + 26131323/35971447*c_1001_6^7 - 44063245/35971447*c_1001_6^6 + 73344232/35971447*c_1001_6^5 - 33426813/35971447*c_1001_6^4 + 55212817/35971447*c_1001_6^3 + 48808289/35971447*c_1001_6^2 + 22065545/35971447*c_1001_6 - 5940217/35971447, c_0011_6 + 721400/35971447*c_1001_6^9 + 4717894/35971447*c_1001_6^8 + 2197774/35971447*c_1001_6^7 - 48411304/35971447*c_1001_6^6 - 11628452/35971447*c_1001_6^5 - 176560652/35971447*c_1001_6^4 - 26132986/35971447*c_1001_6^3 - 120372668/35971447*c_1001_6^2 - 18921901/35971447*c_1001_6 - 24323572/35971447, c_0101_1 + 6702848/35971447*c_1001_6^9 - 7747424/35971447*c_1001_6^8 - 6925384/35971447*c_1001_6^7 - 60042012/35971447*c_1001_6^6 - 74887559/35971447*c_1001_6^5 - 142539141/35971447*c_1001_6^4 - 49760903/35971447*c_1001_6^3 - 99083132/35971447*c_1001_6^2 - 5818332/35971447*c_1001_6 + 530641/35971447, c_0101_11 + 1, c_0101_4 - 323892/35971447*c_1001_6^9 - 13388149/35971447*c_1001_6^8 + 33452096/35971447*c_1001_6^7 - 7222301/35971447*c_1001_6^6 + 98551604/35971447*c_1001_6^5 + 69464938/35971447*c_1001_6^4 + 42863021/35971447*c_1001_6^3 + 56904323/35971447*c_1001_6^2 + 23452719/35971447*c_1001_6 - 7249095/35971447, c_1001_0 + c_1001_6, c_1001_10 - 721400/35971447*c_1001_6^9 - 4717894/35971447*c_1001_6^8 - 2197774/35971447*c_1001_6^7 + 48411304/35971447*c_1001_6^6 + 11628452/35971447*c_1001_6^5 + 176560652/35971447*c_1001_6^4 + 26132986/35971447*c_1001_6^3 + 120372668/35971447*c_1001_6^2 - 17049546/35971447*c_1001_6 + 24323572/35971447, c_1001_2 - 5401768/35971447*c_1001_6^9 + 6953862/35971447*c_1001_6^8 + 6313712/35971447*c_1001_6^7 + 37261070/35971447*c_1001_6^6 + 82600489/35971447*c_1001_6^5 + 53798107/35971447*c_1001_6^4 + 107942258/35971447*c_1001_6^3 + 9840875/35971447*c_1001_6^2 + 34162608/35971447*c_1001_6 - 2320672/35971447, c_1001_4 - 397508/35971447*c_1001_6^9 + 8670255/35971447*c_1001_6^8 - 35649870/35971447*c_1001_6^7 + 55633605/35971447*c_1001_6^6 - 86923152/35971447*c_1001_6^5 + 107095714/35971447*c_1001_6^4 - 16730035/35971447*c_1001_6^3 + 63468345/35971447*c_1001_6^2 + 31440629/35971447*c_1001_6 + 31572667/35971447, c_1001_6^10 - 11/4*c_1001_6^9 + 11/4*c_1001_6^8 - 41/4*c_1001_6^7 - 1/2*c_1001_6^6 - 43/4*c_1001_6^5 - 15/4*c_1001_6^4 - 21/4*c_1001_6^3 - 3/2*c_1001_6^2 - c_1001_6 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB