Magma V2.19-8 Wed Aug 21 2013 00:51:07 on localhost [Seed = 3187386557] Type ? for help. Type -D to quit. Loading file "L11a123__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a123 geometric_solution 11.98379141 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 1 1 1 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 1 0 -1 0 0 0 0 9 1 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351877133805 0.668161212970 0 0 5 4 0132 1302 0132 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 0 1 -1 0 0 0 0 0 1 0 -1 -9 10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382949826452 1.171684525115 4 0 6 3 1302 0132 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 -1 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 0.747975625413 0.771101171112 3 3 2 0 1302 2031 1230 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 0.553986247779 1.487710994763 7 2 1 6 0132 2031 0132 0321 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 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351395039024 0.370536360524 8 9 10 1 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 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 0.185138095565 1.214910715381 10 4 7 2 1230 0321 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194987667538 0.728971962462 4 11 10 6 0132 0132 1023 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.814459499145 1.185175920798 5 12 9 12 0132 0132 1023 0213 0 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 -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 0.438707529228 0.402212625588 11 5 8 11 3120 0132 1023 0132 1 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 0 0 0 -1 0 1 1 0 -1 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 0.761550345600 1.135426346642 12 6 7 5 0213 3012 1023 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 0.464672965886 0.417354731531 12 7 9 9 2031 0132 0132 3120 1 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 0 0 0 0 -1 1 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592569047782 0.607455357690 10 8 11 8 0213 0132 1302 0213 0 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 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 0.438707529228 0.402212625588 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0110_2']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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' : 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_6'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1001_6'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_9']), 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_1001_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_0110_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0101_9'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : 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' : d['c_0101_11'], 's_1_7' : negation(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' : negation(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' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_10'], '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_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_5']), 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_1'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0011_10'], 's_2_9' : d['1']})} 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_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_0110_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 118486382114619345049/1584942478079958018*c_1001_6^8 + 19618102453550468390/264157079679993003*c_1001_6^7 + 51550247707591961207/68910542525215566*c_1001_6^6 - 1042716141791588485/537815567723094*c_1001_6^5 - 60699331813309038595/113210177005711287*c_1001_6^4 + 3987364717023211742693/528314159359986006*c_1001_6^3 - 1042247403636520238795/88052359893331001*c_1001_6^2 + 498574992420005197349/36859127397208326*c_1001_6 - 8992466678385508643627/792471239039979009, c_0011_0 - 1, c_0011_10 + 1376712/363987509*c_1001_6^8 - 1631408/363987509*c_1001_6^7 - 11341732/363987509*c_1001_6^6 + 39976153/363987509*c_1001_6^5 + 14999627/363987509*c_1001_6^4 - 111255291/363987509*c_1001_6^3 + 242544580/363987509*c_1001_6^2 - 19197343/363987509*c_1001_6 + 23278495/363987509, c_0011_12 + 6073152/363987509*c_1001_6^8 - 851368/363987509*c_1001_6^7 - 46707340/363987509*c_1001_6^6 + 139063420/363987509*c_1001_6^5 + 64696416/363987509*c_1001_6^4 - 490328640/363987509*c_1001_6^3 + 949856062/363987509*c_1001_6^2 - 869756460/363987509*c_1001_6 + 453205840/363987509, c_0011_3 - 2289729/363987509*c_1001_6^8 + 9096744/363987509*c_1001_6^7 + 26576173/363987509*c_1001_6^6 - 126927922/363987509*c_1001_6^5 + 67844635/363987509*c_1001_6^4 + 426093662/363987509*c_1001_6^3 - 920227694/363987509*c_1001_6^2 + 884823619/363987509*c_1001_6 - 597885733/363987509, c_0011_6 + 3319728/363987509*c_1001_6^8 + 2411448/363987509*c_1001_6^7 - 24023876/363987509*c_1001_6^6 + 59111114/363987509*c_1001_6^5 + 34697162/363987509*c_1001_6^4 - 267818058/363987509*c_1001_6^3 + 464766902/363987509*c_1001_6^2 - 467374265/363987509*c_1001_6 + 406648850/363987509, c_0101_0 - 6902813/363987509*c_1001_6^8 - 1543315/363987509*c_1001_6^7 + 58566764/363987509*c_1001_6^6 - 103146521/363987509*c_1001_6^5 - 83022447/363987509*c_1001_6^4 + 441020251/363987509*c_1001_6^3 - 728043218/363987509*c_1001_6^2 + 937562399/363987509*c_1001_6 - 388721687/363987509, c_0101_1 + 1376712/363987509*c_1001_6^8 - 1631408/363987509*c_1001_6^7 - 11341732/363987509*c_1001_6^6 + 39976153/363987509*c_1001_6^5 + 14999627/363987509*c_1001_6^4 - 111255291/363987509*c_1001_6^3 + 242544580/363987509*c_1001_6^2 - 19197343/363987509*c_1001_6 + 23278495/363987509, c_0101_11 + 1, c_0101_5 - 7449864/363987509*c_1001_6^8 + 2482776/363987509*c_1001_6^7 + 58049072/363987509*c_1001_6^6 - 179039573/363987509*c_1001_6^5 - 79696043/363987509*c_1001_6^4 + 601583931/363987509*c_1001_6^3 - 1192400642/363987509*c_1001_6^2 + 888953803/363987509*c_1001_6 - 476484335/363987509, c_0101_6 - 4696440/363987509*c_1001_6^8 - 780040/363987509*c_1001_6^7 + 35365608/363987509*c_1001_6^6 - 99087267/363987509*c_1001_6^5 - 49696789/363987509*c_1001_6^4 + 379073349/363987509*c_1001_6^3 - 707311482/363987509*c_1001_6^2 + 850559117/363987509*c_1001_6 - 429927345/363987509, c_0101_9 - 1, c_0110_2 + 12254145/363987509*c_1001_6^8 + 1151780/363987509*c_1001_6^7 - 114579625/363987509*c_1001_6^6 + 196396533/363987509*c_1001_6^5 + 204493331/363987509*c_1001_6^4 - 918179871/363987509*c_1001_6^3 + 1294447522/363987509*c_1001_6^2 - 1405683927/363987509*c_1001_6 + 354102497/363987509, c_1001_6^9 - c_1001_6^8 - 10*c_1001_6^7 + 26*c_1001_6^6 + 7*c_1001_6^5 - 101*c_1001_6^4 + 159*c_1001_6^3 - 182*c_1001_6^2 + 153*c_1001_6 - 1 ], 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_0, c_0101_1, c_0101_11, c_0101_5, c_0101_6, c_0101_9, c_0110_2, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 11105085025198505172071/80807658399656639360000*c_1001_6^9 + 3132427970091235537803/11543951199950948480000*c_1001_6^8 - 54904184627075351323309/40403829199828319680000*c_1001_6^7 - 24686859435876049528047/40403829199828319680000*c_1001_6^6 + 526334413324396995371/394183699510520192000*c_1001_6^5 + 21034721806985658433131/3513376452158984320000*c_1001_6^4 + 713170542876951893023947/80807658399656639360000*c_1001_6^3 - 289411762135387337851/14612596455634112000*c_1001_6^2 - 502947628931772733886883/16161531679931327872000*c_1001_6 - 497336615648531508545491/80807658399656639360000, c_0011_0 - 1, c_0011_10 + 32443528/488450563*c_1001_6^9 - 71421240/488450563*c_1001_6^8 + 344513616/488450563*c_1001_6^7 + 47221640/488450563*c_1001_6^6 - 233660863/488450563*c_1001_6^5 - 60338785/21236981*c_1001_6^4 - 1737308303/488450563*c_1001_6^3 + 4683887368/488450563*c_1001_6^2 + 6249059953/488450563*c_1001_6 + 1080915665/488450563, c_0011_12 - 47239443/488450563*c_1001_6^9 + 103157201/488450563*c_1001_6^8 - 490955082/488450563*c_1001_6^7 - 106661378/488450563*c_1001_6^6 + 470599183/488450563*c_1001_6^5 + 82668991/21236981*c_1001_6^4 + 2655546567/488450563*c_1001_6^3 - 7105178012/488450563*c_1001_6^2 - 8898355855/488450563*c_1001_6 - 726574847/488450563, c_0011_3 - 71029453/488450563*c_1001_6^9 + 144747134/488450563*c_1001_6^8 - 716288182/488450563*c_1001_6^7 - 259280481/488450563*c_1001_6^6 + 652939007/488450563*c_1001_6^5 + 133123754/21236981*c_1001_6^4 + 4396682215/488450563*c_1001_6^3 - 10307795792/488450563*c_1001_6^2 - 14939200348/488450563*c_1001_6 - 2928657554/488450563, c_0011_6 + 17647613/488450563*c_1001_6^9 - 39685279/488450563*c_1001_6^8 + 198072150/488450563*c_1001_6^7 - 12218098/488450563*c_1001_6^6 + 3277457/488450563*c_1001_6^5 - 38008579/21236981*c_1001_6^4 - 819070039/488450563*c_1001_6^3 + 2262596724/488450563*c_1001_6^2 + 3111313488/488450563*c_1001_6 + 1435256483/488450563, c_0101_0 - 45991245/488450563*c_1001_6^9 + 92537846/488450563*c_1001_6^8 - 466163971/488450563*c_1001_6^7 - 160954082/488450563*c_1001_6^6 + 350145190/488450563*c_1001_6^5 + 89924992/21236981*c_1001_6^4 + 2954102778/488450563*c_1001_6^3 - 6424613040/488450563*c_1001_6^2 - 10012891476/488450563*c_1001_6 - 2804795548/488450563, c_0101_1 + 32443528/488450563*c_1001_6^9 - 71421240/488450563*c_1001_6^8 + 344513616/488450563*c_1001_6^7 + 47221640/488450563*c_1001_6^6 - 233660863/488450563*c_1001_6^5 - 60338785/21236981*c_1001_6^4 - 1737308303/488450563*c_1001_6^3 + 4683887368/488450563*c_1001_6^2 + 6249059953/488450563*c_1001_6 + 1080915665/488450563, c_0101_11 - 1, c_0101_5 + 3464477/21236981*c_1001_6^9 - 7590367/21236981*c_1001_6^8 + 36324726/21236981*c_1001_6^7 + 6690566/21236981*c_1001_6^6 - 30620002/21236981*c_1001_6^5 - 143007776/21236981*c_1001_6^4 - 190993690/21236981*c_1001_6^3 + 512568060/21236981*c_1001_6^2 + 658583296/21236981*c_1001_6 + 78586544/21236981, c_0101_6 + 14795915/488450563*c_1001_6^9 - 31735961/488450563*c_1001_6^8 + 146441466/488450563*c_1001_6^7 + 59439738/488450563*c_1001_6^6 - 236938320/488450563*c_1001_6^5 - 22330206/21236981*c_1001_6^4 - 918238264/488450563*c_1001_6^3 + 2421290644/488450563*c_1001_6^2 + 2649295902/488450563*c_1001_6 - 354340818/488450563, c_0101_9 - 1, c_0110_2 + 51763713/488450563*c_1001_6^9 - 94210418/488450563*c_1001_6^8 + 493775042/488450563*c_1001_6^7 + 318190429/488450563*c_1001_6^6 - 504958070/488450563*c_1001_6^5 - 98019732/21236981*c_1001_6^4 - 3765471410/488450563*c_1001_6^3 + 7284134916/488450563*c_1001_6^2 + 12641713348/488450563*c_1001_6 + 3228165778/488450563, c_1001_6^10 - c_1001_6^9 + 8*c_1001_6^8 + 14*c_1001_6^7 - 5*c_1001_6^6 - 53*c_1001_6^5 - 107*c_1001_6^4 + 80*c_1001_6^3 + 365*c_1001_6^2 + 271*c_1001_6 + 50 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB