Magma V2.19-8 Wed Aug 21 2013 00:01:57 on localhost [Seed = 1427324148] Type ? for help. Type -D to quit. Loading file "K13n1675__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1675 geometric_solution 12.04341507 oriented_manifold CS_known -0.0000000000000009 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 0 0 0 0 0 0 -1 1 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 -1 -7 8 0 0 -7 7 1 -1 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488740705239 1.034338059667 0 4 6 5 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 0 1 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 0.543463426883 0.240990356977 0 0 8 7 3012 0132 0132 0132 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 0 0 0 0 1 -1 0 -8 0 0 8 -7 7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.384047053911 0.776972641151 9 10 11 0 0132 0132 0132 0132 0 0 0 0 0 0 -1 1 0 0 -1 1 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 -7 7 0 0 -7 7 7 0 0 -7 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498329649740 0.791525529867 10 1 11 12 0213 0132 3012 0132 0 0 0 0 0 0 0 0 -1 0 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 1 0 -1 -7 0 7 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603368837821 0.475173218009 9 12 1 8 2103 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.381371289352 0.471456829555 10 8 7 1 2310 3201 2310 0132 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 -8 0 8 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 0.572522178833 0.939335099049 11 6 2 9 2031 3201 0132 0213 0 0 0 0 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 -8 8 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.100664111443 0.917515619373 5 12 6 2 3201 3120 2310 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 0 -1 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 0.313814815774 1.222668246309 3 10 5 7 0132 1302 2103 0213 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 0 0 0 0 0 0 0 8 0 0 -8 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.608366875528 0.886836314686 4 3 6 9 0213 0132 3201 2031 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 7 0 0 -7 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313768331972 0.466439192306 12 4 7 3 3012 1230 1302 0132 0 0 0 0 0 -1 0 1 0 0 -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 -7 0 7 1 0 -8 7 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.175829542417 0.733260517122 5 8 4 11 1302 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.770570149867 0.608427542652 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_3']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : negation(d['c_1001_1']), 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_10'], 's_3_11' : d['1'], 's_0_11' : 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' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_0'], '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' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0101_8'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_12'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0011_6'], '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' : d['1'], 'c_1100_12' : d['c_0101_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_7'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0011_5']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_11, c_0011_12, c_0011_5, c_0011_6, c_0011_7, c_0101_0, c_0101_3, c_0101_6, c_0101_7, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 829892753807/2859975051296*c_1001_1^15 + 28328967562515/11439900205184*c_1001_1^14 + 30332170070511/2859975051296*c_1001_1^13 + 276972288335651/11439900205184*c_1001_1^12 + 33264809692773/1429987525648*c_1001_1^11 - 578278556523341/11439900205184*c_1001_1^10 - 6798447038751/38648311504*c_1001_1^9 - 2504854089989765/11439900205184*c_1001_1^8 + 280458380488195/2859975051296*c_1001_1^7 + 5168098006950273/11439900205184*c_1001_1^6 + 1194498426247187/2859975051296*c_1001_1^5 - 45093285629351/279021956224*c_1001_1^4 - 259281364234951/714993762824*c_1001_1^3 + 303181786313209/11439900205184*c_1001_1^2 + 63224022793181/714993762824*c_1001_1 - 257927050912543/11439900205184, c_0011_0 - 1, c_0011_10 + 75725409/685557632*c_1001_1^15 + 40378893/42847352*c_1001_1^14 + 2769559035/685557632*c_1001_1^13 + 1586714147/171389408*c_1001_1^12 + 6233361853/685557632*c_1001_1^11 - 3171731217/171389408*c_1001_1^10 - 45028862617/685557632*c_1001_1^9 - 1777938321/21423676*c_1001_1^8 + 23109449059/685557632*c_1001_1^7 + 14015251285/85694704*c_1001_1^6 + 104403906753/685557632*c_1001_1^5 - 9638314621/171389408*c_1001_1^4 - 84394059137/685557632*c_1001_1^3 + 3782113283/171389408*c_1001_1^2 + 22578008925/685557632*c_1001_1 - 949494839/85694704, c_0011_11 + 31493797/342778816*c_1001_1^15 + 67240525/85694704*c_1001_1^14 + 1152600201/342778816*c_1001_1^13 + 164635215/21423676*c_1001_1^12 + 2540791657/342778816*c_1001_1^11 - 1364989329/85694704*c_1001_1^10 - 19080157987/342778816*c_1001_1^9 - 5945387027/85694704*c_1001_1^8 + 10546006447/342778816*c_1001_1^7 + 12227141107/85694704*c_1001_1^6 + 45091820283/342778816*c_1001_1^5 - 2213690189/42847352*c_1001_1^4 - 39151080893/342778816*c_1001_1^3 + 883652713/85694704*c_1001_1^2 + 10339560991/342778816*c_1001_1 - 615379927/85694704, c_0011_12 - 1854147/85694704*c_1001_1^15 - 66974417/342778816*c_1001_1^14 - 152790153/171389408*c_1001_1^13 - 779417177/342778816*c_1001_1^12 - 506523355/171389408*c_1001_1^11 + 740921241/342778816*c_1001_1^10 + 609051011/42847352*c_1001_1^9 + 8284150333/342778816*c_1001_1^8 + 61297361/10711838*c_1001_1^7 - 10510417399/342778816*c_1001_1^6 - 8505361349/171389408*c_1001_1^5 - 4877086071/342778816*c_1001_1^4 + 3598919329/171389408*c_1001_1^3 + 4590298703/342778816*c_1001_1^2 - 97550535/85694704*c_1001_1 - 567461645/342778816, c_0011_5 + 64433225/685557632*c_1001_1^15 + 140029565/171389408*c_1001_1^14 + 2450008285/685557632*c_1001_1^13 + 2908829167/342778816*c_1001_1^12 + 6319597077/685557632*c_1001_1^11 - 2417197253/171389408*c_1001_1^10 - 39975500007/685557632*c_1001_1^9 - 27897002745/342778816*c_1001_1^8 + 9255125563/685557632*c_1001_1^7 + 24115234031/171389408*c_1001_1^6 + 108221697431/685557632*c_1001_1^5 - 5574986691/342778816*c_1001_1^4 - 72588254041/685557632*c_1001_1^3 - 1223308071/171389408*c_1001_1^2 + 16122219571/685557632*c_1001_1 - 1021118451/342778816, c_0011_6 - 12144739/342778816*c_1001_1^15 - 197842397/685557632*c_1001_1^14 - 99955341/85694704*c_1001_1^13 - 1619524503/685557632*c_1001_1^12 - 449820647/342778816*c_1001_1^11 + 5566348483/685557632*c_1001_1^10 + 1703489885/85694704*c_1001_1^9 + 11377873817/685557632*c_1001_1^8 - 9679164665/342778816*c_1001_1^7 - 39852161519/685557632*c_1001_1^6 - 2268258107/85694704*c_1001_1^5 + 36474073427/685557632*c_1001_1^4 + 17631992643/342778816*c_1001_1^3 - 16210410359/685557632*c_1001_1^2 - 1576994885/85694704*c_1001_1 + 4718965931/685557632, c_0011_7 - 14637719/685557632*c_1001_1^15 - 31924963/171389408*c_1001_1^14 - 555261365/685557632*c_1001_1^13 - 81009295/42847352*c_1001_1^12 - 1301777619/685557632*c_1001_1^11 + 315693401/85694704*c_1001_1^10 + 9462371007/685557632*c_1001_1^9 + 3014960567/171389408*c_1001_1^8 - 4310618837/685557632*c_1001_1^7 - 6241165095/171389408*c_1001_1^6 - 23479134175/685557632*c_1001_1^5 + 931466889/85694704*c_1001_1^4 + 21640286911/685557632*c_1001_1^3 + 2215421/21423676*c_1001_1^2 - 6294631467/685557632*c_1001_1 + 274038179/171389408, c_0101_0 + 23334675/171389408*c_1001_1^15 + 795059475/685557632*c_1001_1^14 + 849265687/171389408*c_1001_1^13 + 7723615837/685557632*c_1001_1^12 + 229136605/21423676*c_1001_1^11 - 16381353505/685557632*c_1001_1^10 - 877871591/10711838*c_1001_1^9 - 69020263367/685557632*c_1001_1^8 + 8251837963/171389408*c_1001_1^7 + 144468735657/685557632*c_1001_1^6 + 32400599519/171389408*c_1001_1^5 - 55755868009/685557632*c_1001_1^4 - 14463210739/85694704*c_1001_1^3 + 14275537125/685557632*c_1001_1^2 + 3879352797/85694704*c_1001_1 - 8016797485/685557632, c_0101_3 + 31493797/342778816*c_1001_1^15 + 67240525/85694704*c_1001_1^14 + 1152600201/342778816*c_1001_1^13 + 164635215/21423676*c_1001_1^12 + 2540791657/342778816*c_1001_1^11 - 1364989329/85694704*c_1001_1^10 - 19080157987/342778816*c_1001_1^9 - 5945387027/85694704*c_1001_1^8 + 10546006447/342778816*c_1001_1^7 + 12227141107/85694704*c_1001_1^6 + 45091820283/342778816*c_1001_1^5 - 2213690189/42847352*c_1001_1^4 - 39151080893/342778816*c_1001_1^3 + 883652713/85694704*c_1001_1^2 + 10339560991/342778816*c_1001_1 - 615379927/85694704, c_0101_6 - 94934609/685557632*c_1001_1^15 - 49979543/42847352*c_1001_1^14 - 3378010809/685557632*c_1001_1^13 - 1879542567/171389408*c_1001_1^12 - 6651505989/685557632*c_1001_1^11 + 1098422399/42847352*c_1001_1^10 + 55924737691/685557632*c_1001_1^9 + 16223771161/171389408*c_1001_1^8 - 41462395827/685557632*c_1001_1^7 - 4571532481/21423676*c_1001_1^6 - 119871668891/685557632*c_1001_1^5 + 18012445879/171389408*c_1001_1^4 + 117556069641/685557632*c_1001_1^3 - 695401381/21423676*c_1001_1^2 - 31590894983/685557632*c_1001_1 + 2050868039/171389408, c_0101_7 + 31461375/171389408*c_1001_1^15 + 533076471/342778816*c_1001_1^14 + 2266861999/342778816*c_1001_1^13 + 319472639/21423676*c_1001_1^12 + 296287783/21423676*c_1001_1^11 - 11206408151/342778816*c_1001_1^10 - 37340464523/342778816*c_1001_1^9 - 22517797649/171389408*c_1001_1^8 + 11988170367/171389408*c_1001_1^7 + 95949237913/342778816*c_1001_1^6 + 83599460609/342778816*c_1001_1^5 - 10236393067/85694704*c_1001_1^4 - 18895681915/85694704*c_1001_1^3 + 12549926631/342778816*c_1001_1^2 + 20193350619/342778816*c_1001_1 - 2851585729/171389408, c_0101_8 - 7674835/342778816*c_1001_1^15 - 17130541/85694704*c_1001_1^14 - 76184381/85694704*c_1001_1^13 - 369560563/171389408*c_1001_1^12 - 824241375/342778816*c_1001_1^11 + 583576293/171389408*c_1001_1^10 + 1295622153/85694704*c_1001_1^9 + 1816242279/85694704*c_1001_1^8 - 914504961/342778816*c_1001_1^7 - 413823539/10711838*c_1001_1^6 - 3608640489/85694704*c_1001_1^5 + 665968161/171389408*c_1001_1^4 + 11402309171/342778816*c_1001_1^3 + 697022517/171389408*c_1001_1^2 - 725396787/85694704*c_1001_1 + 47271389/42847352, c_1001_1^16 + 8*c_1001_1^15 + 32*c_1001_1^14 + 64*c_1001_1^13 + 36*c_1001_1^12 - 216*c_1001_1^11 - 512*c_1001_1^10 - 432*c_1001_1^9 + 734*c_1001_1^8 + 1368*c_1001_1^7 + 608*c_1001_1^6 - 1312*c_1001_1^5 - 940*c_1001_1^4 + 760*c_1001_1^3 + 256*c_1001_1^2 - 240*c_1001_1 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.500 Total time: 4.710 seconds, Total memory usage: 83.25MB