Magma V2.19-8 Wed Aug 21 2013 01:02:21 on localhost [Seed = 1696825002] Type ? for help. Type -D to quit. Loading file "L14n1433__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1433 geometric_solution 12.02534786 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 1 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 0 0 0 1.301012455518 0.776594355032 0 5 5 6 0132 0132 1302 0132 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 0 0 0 0 0 0 0 0 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 0.431251916785 0.820130470841 7 0 8 6 0132 0132 0132 1023 1 1 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 -1 0 1 0 0 -4 4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801035174038 0.621130421938 3 3 6 0 1230 3012 3201 0132 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 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 0.976954113248 0.979322411515 7 9 0 10 1302 0132 0132 0132 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 0 0 0 0 0 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 0 0 0 0 0 -0.038643789802 0.903625258682 1 1 7 11 2031 0132 3120 0132 1 1 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 0 0 5 -5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497722068395 0.955203723175 3 11 1 2 2310 1302 0132 1023 1 1 1 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 0 0 0 0 0 0 0 4 0 -4 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 0.408014722649 0.674056366924 2 4 5 8 0132 2031 3120 0132 1 1 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 0 0 -5 5 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.377248412561 0.873112950242 10 12 7 2 1230 0132 0132 0132 1 1 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 -5 4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.253954276697 0.857465394231 12 4 12 12 3120 0132 2103 0132 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 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 0.422489743670 0.663759665324 11 8 4 11 0132 3012 0132 2031 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 0 0 0 0 0 -1 1 0 1 0 -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 0.327347615674 0.749898214315 10 10 5 6 0132 1302 0132 2031 1 1 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 5 -4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.511059356287 1.120080605662 9 8 9 9 2103 0132 0132 3120 1 0 1 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 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 0.317546176605 1.072180634446 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_4'], 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : d['c_0011_6'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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' : 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' : negation(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' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0101_5']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], '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' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_12']), '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0011_3'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0011_3'], 'c_1100_9' : negation(d['c_0101_12']), 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0101_3'])})} 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_4, c_0011_6, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_7, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 56685647921/439388125440000*c_1001_12^7 - 5414127831/3661567712000*c_1001_12^6 + 286525197721/219694062720000*c_1001_12^5 + 423286388699/146462708480000*c_1001_12^4 + 244433128043/12923180160000*c_1001_12^3 - 538397195597/13730878920000*c_1001_12^2 - 9956487157961/146462708480000*c_1001_12 + 1986194486527/36615677120000, c_0011_0 - 1, c_0011_10 + 1364593/40384938*c_1001_12^7 + 446068/20192469*c_1001_12^6 - 1188977/20192469*c_1001_12^5 - 24494245/40384938*c_1001_12^4 + 267253/1835679*c_1001_12^3 + 15505912/6730823*c_1001_12^2 + 141097435/40384938*c_1001_12 - 95090804/20192469, c_0011_12 + 1364593/20192469*c_1001_12^7 + 892136/20192469*c_1001_12^6 - 2377954/20192469*c_1001_12^5 - 24494245/20192469*c_1001_12^4 + 534506/1835679*c_1001_12^3 + 31011824/6730823*c_1001_12^2 + 141097435/20192469*c_1001_12 - 190181608/20192469, c_0011_3 - 276057/26923292*c_1001_12^7 - 98573/6730823*c_1001_12^6 + 211961/13461646*c_1001_12^5 + 5730213/26923292*c_1001_12^4 + 31237/1223786*c_1001_12^3 - 5952655/6730823*c_1001_12^2 - 47956683/26923292*c_1001_12 + 12268121/6730823, c_0011_4 + 1364593/20192469*c_1001_12^7 + 892136/20192469*c_1001_12^6 - 2377954/20192469*c_1001_12^5 - 24494245/20192469*c_1001_12^4 + 534506/1835679*c_1001_12^3 + 31011824/6730823*c_1001_12^2 + 120904966/20192469*c_1001_12 - 190181608/20192469, c_0011_6 - 40947/13461646*c_1001_12^7 + 27007/6730823*c_1001_12^6 - 59115/6730823*c_1001_12^5 + 1502999/13461646*c_1001_12^4 + 36259/611893*c_1001_12^3 + 352929/6730823*c_1001_12^2 - 10615553/13461646*c_1001_12 + 7156493/6730823, c_0101_10 - 797114/20192469*c_1001_12^7 - 738433/20192469*c_1001_12^6 + 626666/20192469*c_1001_12^5 + 14357888/20192469*c_1001_12^4 - 60412/1835679*c_1001_12^3 - 16112533/6730823*c_1001_12^2 - 75680138/20192469*c_1001_12 + 94082759/20192469, c_0101_11 + 1471387/80769876*c_1001_12^7 + 409727/20192469*c_1001_12^6 - 804011/40384938*c_1001_12^5 - 24206779/80769876*c_1001_12^4 + 169189/3671358*c_1001_12^3 + 8232731/6730823*c_1001_12^2 + 119513617/80769876*c_1001_12 - 36306640/20192469, c_0101_12 - 1, c_0101_3 - 238093/13461646*c_1001_12^7 - 5041/6730823*c_1001_12^6 + 200196/6730823*c_1001_12^5 + 4331119/13461646*c_1001_12^4 - 103354/611893*c_1001_12^3 - 8668629/6730823*c_1001_12^2 - 14237125/13461646*c_1001_12 + 12677633/6730823, c_0101_5 - 1364593/40384938*c_1001_12^7 - 446068/20192469*c_1001_12^6 + 1188977/20192469*c_1001_12^5 + 24494245/40384938*c_1001_12^4 - 267253/1835679*c_1001_12^3 - 15505912/6730823*c_1001_12^2 - 100712497/40384938*c_1001_12 + 95090804/20192469, c_0101_7 + 1717069/80769876*c_1001_12^7 + 328706/20192469*c_1001_12^6 - 449321/40384938*c_1001_12^5 - 33224773/80769876*c_1001_12^4 - 48365/3671358*c_1001_12^3 + 7879802/6730823*c_1001_12^2 + 183206935/80769876*c_1001_12 - 37583650/20192469, c_1001_12^8 - 2*c_1001_12^6 - 17*c_1001_12^5 + 18*c_1001_12^4 + 64*c_1001_12^3 + 43*c_1001_12^2 - 204*c_1001_12 + 80 ], 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_4, c_0011_6, c_0101_10, c_0101_11, c_0101_12, c_0101_3, c_0101_5, c_0101_7, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 14753710250117/9764857231360*c_1001_12^8 + 211099350941/28635944960*c_1001_12^7 + 39962473480301/4882428615680*c_1001_12^6 - 407636956199479/9764857231360*c_1001_12^5 - 33576515639221/278995920896*c_1001_12^4 - 65755230588617/976485723136*c_1001_12^3 + 203998280299621/887714293760*c_1001_12^2 + 851785773814091/1952971446272*c_1001_12 + 127279516618017/610303576960, c_0011_0 - 1, c_0011_10 - 905769/3538402*c_1001_12^8 - 121801/114142*c_1001_12^7 - 1159371/1769201*c_1001_12^6 + 26402583/3538402*c_1001_12^5 + 7671815/505486*c_1001_12^4 + 2707099/1769201*c_1001_12^3 - 138259563/3538402*c_1001_12^2 - 169350409/3538402*c_1001_12 - 11020964/1769201, c_0011_12 + 905769/1769201*c_1001_12^8 + 121801/57071*c_1001_12^7 + 2318742/1769201*c_1001_12^6 - 26402583/1769201*c_1001_12^5 - 7671815/252743*c_1001_12^4 - 5414198/1769201*c_1001_12^3 + 138259563/1769201*c_1001_12^2 + 169350409/1769201*c_1001_12 + 22041928/1769201, c_0011_3 + 73915/7076804*c_1001_12^8 + 4869/228284*c_1001_12^7 - 215665/3538402*c_1001_12^6 - 2504497/7076804*c_1001_12^5 + 15937/1010972*c_1001_12^4 + 3773947/3538402*c_1001_12^3 + 9518485/7076804*c_1001_12^2 - 12811419/7076804*c_1001_12 - 3288713/1769201, c_0011_4 + 905769/1769201*c_1001_12^8 + 121801/57071*c_1001_12^7 + 2318742/1769201*c_1001_12^6 - 26402583/1769201*c_1001_12^5 - 7671815/252743*c_1001_12^4 - 5414198/1769201*c_1001_12^3 + 138259563/1769201*c_1001_12^2 + 167581208/1769201*c_1001_12 + 22041928/1769201, c_0011_6 - 4017/3538402*c_1001_12^8 + 1031/114142*c_1001_12^7 + 142050/1769201*c_1001_12^6 + 592227/3538402*c_1001_12^5 - 103249/505486*c_1001_12^4 - 1474549/1769201*c_1001_12^3 - 1777025/3538402*c_1001_12^2 + 1539791/3538402*c_1001_12 + 1696967/1769201, c_0101_10 + 473406/1769201*c_1001_12^8 + 64371/57071*c_1001_12^7 + 1269759/1769201*c_1001_12^6 - 13745406/1769201*c_1001_12^5 - 4042889/252743*c_1001_12^4 - 2857072/1769201*c_1001_12^3 + 71498517/1769201*c_1001_12^2 + 86706679/1769201*c_1001_12 + 11081183/1769201, c_0101_11 + 950829/7076804*c_1001_12^8 + 127711/228284*c_1001_12^7 + 1127709/3538402*c_1001_12^6 - 28083039/7076804*c_1001_12^5 - 7982529/1010972*c_1001_12^4 - 1382523/3538402*c_1001_12^3 + 144774059/7076804*c_1001_12^2 + 171873567/7076804*c_1001_12 + 4692108/1769201, c_0101_12 - 1, c_0101_3 - 113335/3538402*c_1001_12^8 - 13079/114142*c_1001_12^7 + 14852/1769201*c_1001_12^6 + 3715479/3538402*c_1001_12^5 + 720987/505486*c_1001_12^4 - 1811304/1769201*c_1001_12^3 - 19528687/3538402*c_1001_12^2 - 11394325/3538402*c_1001_12 + 1401307/1769201, c_0101_5 + 905769/3538402*c_1001_12^8 + 121801/114142*c_1001_12^7 + 1159371/1769201*c_1001_12^6 - 26402583/3538402*c_1001_12^5 - 7671815/505486*c_1001_12^4 - 2707099/1769201*c_1001_12^3 + 138259563/3538402*c_1001_12^2 + 165812007/3538402*c_1001_12 + 11020964/1769201, c_0101_7 + 134685/1010972*c_1001_12^8 + 18539/32612*c_1001_12^7 + 201687/505486*c_1001_12^6 - 3842655/1010972*c_1001_12^5 - 8189027/1010972*c_1001_12^4 - 618803/505486*c_1001_12^3 + 20174287/1010972*c_1001_12^2 + 24993307/1010972*c_1001_12 + 659982/252743, c_1001_12^9 + 5*c_1001_12^8 + 6*c_1001_12^7 - 27*c_1001_12^6 - 83*c_1001_12^5 - 54*c_1001_12^4 + 147*c_1001_12^3 + 307*c_1001_12^2 + 172*c_1001_12 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB