Magma V2.19-8 Wed Aug 21 2013 01:06:54 on localhost [Seed = 3230062643] Type ? for help. Type -D to quit. Loading file "L14n32862__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32862 geometric_solution 11.81144993 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 1023 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 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 1.060270626300 0.640406398816 0 4 4 0 0132 0132 1023 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.308952183835 0.417394797500 5 0 3 6 0132 0132 1302 0132 1 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 -1 1 0 3 0 0 -3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264006530273 0.630377062127 2 7 8 0 2031 0132 0132 0132 1 1 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 -1 1 -1 0 1 0 -1 1 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736404383604 0.792481005172 6 1 1 9 3012 0132 1023 0132 1 1 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 0 0 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.060270626300 0.640406398816 2 10 11 11 0132 0132 0132 0321 1 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 -1 1 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298871942997 0.962468947896 10 9 2 4 0321 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.783754173135 0.671284017335 12 3 9 8 0132 0132 0132 0132 1 1 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 1 0 0 -1 0 4 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032479872429 0.635846006873 9 11 7 3 0132 0213 0132 0132 1 1 0 0 0 0 0 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 -1 0 1 0 0 1 -1 4 0 0 -4 -1 -3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.032479872429 0.635846006873 8 6 4 7 0132 0132 0132 0132 1 1 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 0 0 0 0 0 1 0 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.736404383604 0.792481005172 6 5 12 12 0321 0132 1230 1302 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 0 0 0 0 0 0 1 -6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298871942997 0.962468947896 12 5 8 5 1023 0321 0213 0132 1 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 1 -1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705739389713 0.947618893732 7 11 10 10 0132 1023 2031 3012 0 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 0 0 0 0 -1 0 -5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298871942997 0.962468947896 ==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_12' : d['c_0011_6'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0101_4'], 'c_1001_8' : d['c_1001_11'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : d['c_1001_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' : d['c_0011_6'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_3'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_12'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_1100_0'], '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' : negation(d['c_1001_10']), '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' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0101_10']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_3'], '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_0101_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : 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_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_4, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 6016702406845555/1069431290208*c_1100_0^7 + 3210897078380323/267357822552*c_1100_0^6 - 85029460103830511/18180331933536*c_1100_0^5 - 39013356219287203/6060110644512*c_1100_0^4 + 10620929208720485/4545082983384*c_1100_0^3 + 1935630425772127/6060110644512*c_1100_0^2 - 7258555859141543/18180331933536*c_1100_0 + 309943344548309/4545082983384, c_0011_0 - 1, c_0011_11 + 38307861217/200719086*c_1100_0^7 - 51532235728/100359543*c_1100_0^6 + 72026264017/200719086*c_1100_0^5 + 39056449421/200719086*c_1100_0^4 - 24134388763/100359543*c_1100_0^3 + 768797655/66906362*c_1100_0^2 + 7172799121/200719086*c_1100_0 - 786277765/100359543, c_0011_6 + 71648557765/200719086*c_1100_0^7 - 86467915252/100359543*c_1100_0^6 + 100010256721/200719086*c_1100_0^5 + 66373250897/200719086*c_1100_0^4 - 23001968875/100359543*c_1100_0^3 - 1060370221/66906362*c_1100_0^2 + 5118608425/200719086*c_1100_0 - 720133174/100359543, c_0101_0 - 1, c_0101_1 + 20904519931/200719086*c_1100_0^7 - 25495825225/100359543*c_1100_0^6 + 31002746341/200719086*c_1100_0^5 + 17934227435/200719086*c_1100_0^4 - 7270013803/100359543*c_1100_0^3 + 176119613/66906362*c_1100_0^2 + 1678153441/200719086*c_1100_0 - 317037679/100359543, c_0101_10 - 2778391379/33453181*c_1100_0^7 + 5822613254/33453181*c_1100_0^6 - 2331999392/33453181*c_1100_0^5 - 2276400123/33453181*c_1100_0^4 - 188736648/33453181*c_1100_0^3 + 457291969/33453181*c_1100_0^2 + 171182558/33453181*c_1100_0 + 5702492/33453181, c_0101_12 + 9562557137/100359543*c_1100_0^7 - 24034262074/100359543*c_1100_0^6 + 15363601766/100359543*c_1100_0^5 + 8774089669/100359543*c_1100_0^4 - 8673115372/100359543*c_1100_0^3 + 252003386/33453181*c_1100_0^2 + 1062690899/100359543*c_1100_0 - 363459823/100359543, c_0101_3 + 11269861051/100359543*c_1100_0^7 - 30113799473/100359543*c_1100_0^6 + 22219276177/100359543*c_1100_0^5 + 7816327442/100359543*c_1100_0^4 - 10854942434/100359543*c_1100_0^3 + 316573200/33453181*c_1100_0^2 + 1233838372/100359543*c_1100_0 - 366001163/100359543, c_0101_4 - 3508895523/66906362*c_1100_0^7 + 3833561693/33453181*c_1100_0^6 - 2429193169/66906362*c_1100_0^5 - 5809972145/66906362*c_1100_0^4 + 1340897933/33453181*c_1100_0^3 + 736131325/66906362*c_1100_0^2 - 396700563/66906362*c_1100_0 + 36449986/33453181, c_1001_0 - 85620505525/200719086*c_1100_0^7 + 105434005984/100359543*c_1100_0^6 - 126254696449/200719086*c_1100_0^5 - 83264858321/200719086*c_1100_0^4 + 33862902700/100359543*c_1100_0^3 + 246878459/66906362*c_1100_0^2 - 7928946721/200719086*c_1100_0 + 1059584554/100359543, c_1001_10 - 31649576923/200719086*c_1100_0^7 + 38323696207/100359543*c_1100_0^6 - 43525818247/200719086*c_1100_0^5 - 32268059567/200719086*c_1100_0^4 + 11715252664/100359543*c_1100_0^3 + 320013147/66906362*c_1100_0^2 - 2593014847/200719086*c_1100_0 + 367555297/100359543, c_1001_11 - 50774691197/200719086*c_1100_0^7 + 62357958281/100359543*c_1100_0^6 - 74253021779/200719086*c_1100_0^5 - 49816238905/200719086*c_1100_0^4 + 20388368036/100359543*c_1100_0^3 - 183993625/66906362*c_1100_0^2 - 4718396645/200719086*c_1100_0 + 731015120/100359543, c_1100_0^8 - 50/17*c_1100_0^7 + 761/289*c_1100_0^6 + 93/289*c_1100_0^5 - 378/289*c_1100_0^4 + 109/289*c_1100_0^3 + 31/289*c_1100_0^2 - 22/289*c_1100_0 + 4/289 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_4, c_1001_0, c_1001_10, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 404303245139903395/412965480431616*c_1100_0^10 - 64303145133643729/7374383579136*c_1100_0^9 + 2348620616983010057/103241370107904*c_1100_0^8 - 71344721653291041/2458127859712*c_1100_0^7 + 13370617752827980363/68827580071936*c_1100_0^6 - 12998959873292781291/17206895017984*c_1100_0^5 + 32991806829393753395/34413790035968*c_1100_0^4 - 14928990305753982859/51620685053952*c_1100_0^3 + 12648650185997041075/412965480431616*c_1100_0^2 + 284263836246029677/6452585631744*c_1100_0 + 18944319546500277/4301723754496, c_0011_0 - 1, c_0011_11 + 596785541755/43895140352*c_1100_0^10 - 17972403201709/175580561408*c_1100_0^9 + 36213624055989/175580561408*c_1100_0^8 - 57207566302993/175580561408*c_1100_0^7 + 443727143764577/175580561408*c_1100_0^6 - 1311866527485831/175580561408*c_1100_0^5 + 1471919537923103/175580561408*c_1100_0^4 - 815425023897179/175580561408*c_1100_0^3 + 217412943289919/175580561408*c_1100_0^2 - 148740672621/5486892544*c_1100_0 - 274252580165/5486892544, c_0011_6 - 596785541755/43895140352*c_1100_0^10 + 17972403201709/175580561408*c_1100_0^9 - 36213624055989/175580561408*c_1100_0^8 + 57207566302993/175580561408*c_1100_0^7 - 443727143764577/175580561408*c_1100_0^6 + 1311866527485831/175580561408*c_1100_0^5 - 1471919537923103/175580561408*c_1100_0^4 + 815425023897179/175580561408*c_1100_0^3 - 217412943289919/175580561408*c_1100_0^2 + 148740672621/5486892544*c_1100_0 + 274252580165/5486892544, c_0101_0 - 1, c_0101_1 + 16440771061/87790280704*c_1100_0^10 - 121113747089/87790280704*c_1100_0^9 + 228998033153/87790280704*c_1100_0^8 - 350515324093/87790280704*c_1100_0^7 + 2984719626319/87790280704*c_1100_0^6 - 8529861364291/87790280704*c_1100_0^5 + 8598619515099/87790280704*c_1100_0^4 - 3727983155279/87790280704*c_1100_0^3 + 8956636149/2743446272*c_1100_0^2 + 13541193077/2743446272*c_1100_0 - 4875896/10716587, c_0101_10 + 1484488064267/87790280704*c_1100_0^10 - 5592923692287/43895140352*c_1100_0^9 + 11292091130487/43895140352*c_1100_0^8 - 17836478189547/43895140352*c_1100_0^7 + 69024037326977/21947570176*c_1100_0^6 - 408723811967085/43895140352*c_1100_0^5 + 459679329518033/43895140352*c_1100_0^4 - 255020791860585/43895140352*c_1100_0^3 + 136425200003009/87790280704*c_1100_0^2 - 25890234093/685861568*c_1100_0 - 170079313883/2743446272, c_0101_12 + 1431795022593/702322245632*c_1100_0^10 - 2705089436431/175580561408*c_1100_0^9 + 343721619519/10973785088*c_1100_0^8 - 8682311018743/175580561408*c_1100_0^7 + 133385713937101/351161122816*c_1100_0^6 - 198457259598517/175580561408*c_1100_0^5 + 112518591375901/87790280704*c_1100_0^4 - 125176189927349/175580561408*c_1100_0^3 + 131518801103901/702322245632*c_1100_0^2 - 11731301483/10973785088*c_1100_0 - 191416639375/21947570176, c_0101_3 + 119865481983/702322245632*c_1100_0^10 - 27324139433/21947570176*c_1100_0^9 + 400471618467/175580561408*c_1100_0^8 - 150632468865/43895140352*c_1100_0^7 + 10770510633313/351161122816*c_1100_0^6 - 472997758745/5486892544*c_1100_0^5 + 14397357409007/175580561408*c_1100_0^4 - 1318105234913/43895140352*c_1100_0^3 - 1386433670889/702322245632*c_1100_0^2 + 50762886285/10973785088*c_1100_0 - 14448408685/21947570176, c_0101_4 - 1, c_1001_0 + 119865481983/702322245632*c_1100_0^10 - 27324139433/21947570176*c_1100_0^9 + 400471618467/175580561408*c_1100_0^8 - 150632468865/43895140352*c_1100_0^7 + 10770510633313/351161122816*c_1100_0^6 - 472997758745/5486892544*c_1100_0^5 + 14397357409007/175580561408*c_1100_0^4 - 1318105234913/43895140352*c_1100_0^3 - 1386433670889/702322245632*c_1100_0^2 + 50762886285/10973785088*c_1100_0 - 14448408685/21947570176, c_1001_10 + 334486480367/175580561408*c_1100_0^10 - 2501243498407/175580561408*c_1100_0^9 + 4949098925243/175580561408*c_1100_0^8 - 7783844184867/175580561408*c_1100_0^7 + 61827254543693/175580561408*c_1100_0^6 - 180728769808213/175580561408*c_1100_0^5 + 197499106821225/175580561408*c_1100_0^4 - 105856028844929/175580561408*c_1100_0^3 + 844700840875/5486892544*c_1100_0^2 - 3302633989/5486892544*c_1100_0 - 285669395/42866348, c_1001_11 + 1431795022593/702322245632*c_1100_0^10 - 2705089436431/175580561408*c_1100_0^9 + 343721619519/10973785088*c_1100_0^8 - 8682311018743/175580561408*c_1100_0^7 + 133385713937101/351161122816*c_1100_0^6 - 198457259598517/175580561408*c_1100_0^5 + 112518591375901/87790280704*c_1100_0^4 - 125176189927349/175580561408*c_1100_0^3 + 131518801103901/702322245632*c_1100_0^2 - 11731301483/10973785088*c_1100_0 - 191416639375/21947570176, c_1100_0^11 - 1247/169*c_1100_0^10 + 2372/169*c_1100_0^9 - 3660/169*c_1100_0^8 + 30798/169*c_1100_0^7 - 88146/169*c_1100_0^6 + 90132/169*c_1100_0^5 - 3212/13*c_1100_0^4 + 6481/169*c_1100_0^3 + 157/13*c_1100_0^2 - 672/169*c_1100_0 - 96/169 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.430 Total time: 0.640 seconds, Total memory usage: 32.09MB