Magma V2.19-8 Tue Aug 20 2013 23:56:27 on localhost [Seed = 3220821934] Type ? for help. Type -D to quit. Loading file "L14n21718__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n21718 geometric_solution 10.47493503 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 1 0 -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 2 -1 -1 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 0.334898086646 1.195996047952 0 3 6 5 0132 3120 0132 0132 1 1 0 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 2 -2 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688227995274 0.687214776639 6 0 8 7 0132 0132 0132 0132 1 1 0 1 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 -2 2 0 -2 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 0.451580979263 0.749158948967 8 1 9 0 2031 3120 0132 0132 1 1 0 1 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 -1 0 1 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 -0.279647913434 0.366050099610 8 7 0 5 0132 2031 0132 2031 1 1 0 1 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 0 0 -1 1 0 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 0.603237570418 1.100508216754 10 4 1 11 0132 1302 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 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 -0.024605616287 0.733504150566 2 7 10 1 0132 2103 3012 0132 1 1 1 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 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656210204294 0.722718680870 4 6 2 9 1302 2103 0132 0321 1 1 1 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 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 -0.186653404101 2.739074822592 4 10 3 2 0132 1302 1302 0132 1 1 1 0 0 1 0 -1 0 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 2 0 -2 0 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 0.602466067153 0.892425236230 11 7 11 3 0321 0321 3012 0132 1 1 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 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 1.507799057739 0.789135320840 5 6 11 8 0132 1230 1230 2031 1 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 0 0 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570536272743 0.419519537647 9 9 5 10 0321 1230 0132 3012 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 0.409084797022 1.642681049584 ==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_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(d['1']), 's_3_10' : negation(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' : 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' : 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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : negation(d['c_1001_10']), 'c_1100_0' : negation(d['c_1001_11']), 'c_1100_3' : negation(d['c_1001_11']), 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : negation(d['c_0011_11']), 's_3_1' : negation(d['1']), 's_3_0' : 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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1/16*c_1001_1 - 3/32, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 2*c_1001_1, c_0011_3 - c_1001_1 - 1, c_0011_4 + 2*c_1001_1 - 1, c_0011_9 - 2*c_1001_1 + 1, c_0101_0 - 2*c_1001_1, c_0101_1 - 1, c_0101_10 - 2*c_1001_1 + 1, c_1001_1^2 - 1/2*c_1001_1 + 1/2, c_1001_10 - 2, c_1001_11 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_1001_1, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 20412348983263/824945992800*c_1001_11^6 + 197566940401147/2474837978400*c_1001_11^5 + 15102171494417/123741898920*c_1001_11^4 + 242199470267107/2474837978400*c_1001_11^3 + 52261168369919/1237418989200*c_1001_11^2 + 1349883332041/247483797840*c_1001_11 - 6652657477999/2474837978400, c_0011_0 - 1, c_0011_10 + 12739727/1438692*c_1001_11^6 + 40918457/1438692*c_1001_11^5 + 35947801/719346*c_1001_11^4 + 73086107/1438692*c_1001_11^3 + 13814336/359673*c_1001_11^2 + 13037129/719346*c_1001_11 + 3414487/479564, c_0011_11 - 3210497/1438692*c_1001_11^6 - 1659521/239782*c_1001_11^5 - 1347007/119891*c_1001_11^4 - 5477845/479564*c_1001_11^3 - 4107829/479564*c_1001_11^2 - 7358825/1438692*c_1001_11 - 1598281/719346, c_0011_3 - 48133781/5754768*c_1001_11^6 - 129930923/5754768*c_1001_11^5 - 54888971/1438692*c_1001_11^4 - 215302115/5754768*c_1001_11^3 - 78363631/2877384*c_1001_11^2 - 33496025/2877384*c_1001_11 - 8010019/1918256, c_0011_4 - 11606045/719346*c_1001_11^6 - 17042528/359673*c_1001_11^5 - 55571407/719346*c_1001_11^4 - 26310467/359673*c_1001_11^3 - 18175856/359673*c_1001_11^2 - 5035423/239782*c_1001_11 - 5535445/719346, c_0011_9 - 25543/359673*c_1001_11^6 - 461390/359673*c_1001_11^5 - 1313239/719346*c_1001_11^4 - 851875/719346*c_1001_11^3 - 593941/719346*c_1001_11^2 - 140405/119891*c_1001_11 - 514525/719346, c_0101_0 + 4317479/959128*c_1001_11^6 + 24758531/2877384*c_1001_11^5 + 8820887/719346*c_1001_11^4 + 23010923/2877384*c_1001_11^3 + 8859055/1438692*c_1001_11^2 + 2145601/1438692*c_1001_11 + 5688217/2877384, c_0101_1 - 1, c_0101_10 + 10314833/2877384*c_1001_11^6 + 12448117/959128*c_1001_11^5 + 2754406/119891*c_1001_11^4 + 21799065/959128*c_1001_11^3 + 7128839/479564*c_1001_11^2 + 8773309/1438692*c_1001_11 + 5392865/2877384, c_1001_1 - 10834237/5754768*c_1001_11^6 - 20850079/5754768*c_1001_11^5 - 4410409/1438692*c_1001_11^4 - 2321827/5754768*c_1001_11^3 + 2752555/2877384*c_1001_11^2 + 72785/2877384*c_1001_11 + 559969/1918256, c_1001_10 - 2072187/959128*c_1001_11^6 - 6386215/959128*c_1001_11^5 - 3078413/239782*c_1001_11^4 - 12838429/959128*c_1001_11^3 - 1225937/119891*c_1001_11^2 - 582826/119891*c_1001_11 - 1899557/959128, c_1001_11^7 + 330/89*c_1001_11^6 + 649/89*c_1001_11^5 + 787/89*c_1001_11^4 + 667/89*c_1001_11^3 + 396/89*c_1001_11^2 + 171/89*c_1001_11 + 47/89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB