Magma V2.19-8 Tue Aug 20 2013 17:57:03 on localhost [Seed = 3684331466] Type ? for help. Type -D to quit. Loading file "11_40__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_40 geometric_solution 11.41674536 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069876283957 1.133962331214 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.432414418962 0.527178969979 6 6 7 0 0132 1230 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 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 0.376679199906 1.171911380978 8 9 0 10 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 -3 0 3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573663240377 1.092483990413 11 1 8 10 0132 0132 0321 0321 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 -1 0 1 -2 0 2 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 0.947463117914 1.112322733666 11 7 10 1 3201 0132 2103 0132 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 1 0 0 -1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334879446178 1.115812197310 2 9 2 11 0132 1023 3012 1302 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751410102081 0.773404346829 9 5 10 2 3012 0132 0132 0132 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.266626465288 0.570024521905 3 9 4 11 0132 0213 0321 3201 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 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715736364595 0.431432595018 6 3 8 7 1023 0132 0213 1230 0 0 0 0 0 0 0 0 1 0 0 -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 2 0 1 -3 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485488859927 0.471156803217 5 4 3 7 2103 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252018547094 0.885678709070 4 8 6 5 0132 2310 2031 2310 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 2 0 -2 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 0.597536659791 0.893096671449 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_11' : negation(d['c_0101_1']), 'c_1010_10' : d['c_1001_1'], 's_3_11' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : 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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : negation(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']), 's_1_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_2']), 'c_0011_8' : negation(d['c_0011_2']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_5']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0101_10']), 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : negation(d['c_0101_10']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_2']), 'c_0101_8' : d['c_0101_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 202899515051992383089/25503414612727591607*c_1100_0^9 - 47007219922458582961843/867116096832738114638*c_1100_0^8 + 74990348911025193338469/433558048416369057319*c_1100_0^7 - 5463682204295590026523/18850349931146480753*c_1100_0^6 + 114083111195506428526382/433558048416369057319*c_1100_0^5 - 65797720202775073432943/433558048416369057319*c_1100_0^4 + 261095186432467756962525/867116096832738114638*c_1100_0^3 - 10486513516328476784626/18850349931146480753*c_1100_0^2 + 174185670487498267950562/433558048416369057319*c_1100_0 - 27761863815643296527545/867116096832738114638, c_0011_0 - 1, c_0011_10 - 56607602071936/132304511823989*c_1100_0^9 + 813843295296209/264609023647978*c_1100_0^8 - 1386978252140214/132304511823989*c_1100_0^7 + 2582965565380186/132304511823989*c_1100_0^6 - 5563826448468669/264609023647978*c_1100_0^5 + 1911343057416337/132304511823989*c_1100_0^4 - 2590403026830791/132304511823989*c_1100_0^3 + 9544513861432075/264609023647978*c_1100_0^2 - 9023318189473215/264609023647978*c_1100_0 + 1435283301093566/132304511823989, c_0011_2 + 14996911645403/132304511823989*c_1100_0^9 - 203345155453519/264609023647978*c_1100_0^8 + 655559643059159/264609023647978*c_1100_0^7 - 559116480019640/132304511823989*c_1100_0^6 + 1080292297903837/264609023647978*c_1100_0^5 - 693857367684291/264609023647978*c_1100_0^4 + 631741091710146/132304511823989*c_1100_0^3 - 2179969844506307/264609023647978*c_1100_0^2 + 905672892715750/132304511823989*c_1100_0 - 433995214622809/264609023647978, c_0011_5 - 6008336384323/132304511823989*c_1100_0^9 + 69660630845631/264609023647978*c_1100_0^8 - 101087545056638/132304511823989*c_1100_0^7 + 306992281922605/264609023647978*c_1100_0^6 - 316932603021257/264609023647978*c_1100_0^5 + 254701316508067/264609023647978*c_1100_0^4 - 398462163042709/264609023647978*c_1100_0^3 + 193290990993134/132304511823989*c_1100_0^2 - 183702026589439/132304511823989*c_1100_0 + 104966223456082/132304511823989, c_0101_0 + 30868265460655/264609023647978*c_1100_0^9 - 123490075153649/132304511823989*c_1100_0^8 + 445923020220177/132304511823989*c_1100_0^7 - 877790758450859/132304511823989*c_1100_0^6 + 958616713508245/132304511823989*c_1100_0^5 - 1266695033389317/264609023647978*c_1100_0^4 + 782667177643269/132304511823989*c_1100_0^3 - 1635539421501290/132304511823989*c_1100_0^2 + 3211810179767079/264609023647978*c_1100_0 - 605223916798432/132304511823989, c_0101_1 + 33627911507013/264609023647978*c_1100_0^9 - 106971117503414/132304511823989*c_1100_0^8 + 649566402344627/264609023647978*c_1100_0^7 - 1032247103979299/264609023647978*c_1100_0^6 + 941968271532673/264609023647978*c_1100_0^5 - 653127547924837/264609023647978*c_1100_0^4 + 615972917800776/132304511823989*c_1100_0^3 - 962792441824769/132304511823989*c_1100_0^2 + 646984381604534/132304511823989*c_1100_0 - 221634626272814/132304511823989, c_0101_10 - 17442958605299/264609023647978*c_1100_0^9 + 108768537860629/264609023647978*c_1100_0^8 - 157039811850903/132304511823989*c_1100_0^7 + 429535790477961/264609023647978*c_1100_0^6 - 231128240693695/264609023647978*c_1100_0^5 + 19467242938163/132304511823989*c_1100_0^4 - 548919798918851/264609023647978*c_1100_0^3 + 477468078804785/132304511823989*c_1100_0^2 - 211828003493925/264609023647978*c_1100_0 - 129329068628264/132304511823989, c_0101_2 - 103306790387685/264609023647978*c_1100_0^9 + 373693419708401/132304511823989*c_1100_0^8 - 2529687908270945/264609023647978*c_1100_0^7 + 4661956712600985/264609023647978*c_1100_0^6 - 2462832790106672/132304511823989*c_1100_0^5 + 3411735253578431/264609023647978*c_1100_0^4 - 4787209150352133/264609023647978*c_1100_0^3 + 8741462816900203/264609023647978*c_1100_0^2 - 7807232543709949/264609023647978*c_1100_0 + 2373532640238403/264609023647978, c_0101_7 - 65030368884529/264609023647978*c_1100_0^9 + 485838372061385/264609023647978*c_1100_0^8 - 840358686014529/132304511823989*c_1100_0^7 + 3169533508519731/264609023647978*c_1100_0^6 - 1695716576369024/132304511823989*c_1100_0^5 + 1160022073307026/132304511823989*c_1100_0^4 - 1556690206173411/132304511823989*c_1100_0^3 + 6035115431562587/264609023647978*c_1100_0^2 - 2868946335867422/132304511823989*c_1100_0 + 1871828967461687/264609023647978, c_1001_1 - 96432826262045/264609023647978*c_1100_0^9 + 378867254557971/132304511823989*c_1100_0^8 - 2711868341713489/264609023647978*c_1100_0^7 + 5306819913060163/264609023647978*c_1100_0^6 - 5840898033943423/264609023647978*c_1100_0^5 + 3986960745303267/264609023647978*c_1100_0^4 - 2497407494546046/132304511823989*c_1100_0^3 + 5072322989737818/132304511823989*c_1100_0^2 - 4958603778306321/132304511823989*c_1100_0 + 1650194341188873/132304511823989, c_1001_10 + 24444861271779/264609023647978*c_1100_0^9 - 205002723953675/264609023647978*c_1100_0^8 + 392776191462172/132304511823989*c_1100_0^7 - 1650254767149115/264609023647978*c_1100_0^6 + 1963655716694719/264609023647978*c_1100_0^5 - 699719749029644/132304511823989*c_1100_0^4 + 1521077292757877/264609023647978*c_1100_0^3 - 1502870118326587/132304511823989*c_1100_0^2 + 3130295754724983/264609023647978*c_1100_0 - 537184629162493/132304511823989, c_1100_0^10 - 134/17*c_1100_0^9 + 498/17*c_1100_0^8 - 1046/17*c_1100_0^7 + 1325/17*c_1100_0^6 - 1092/17*c_1100_0^5 + 1135/17*c_1100_0^4 - 1954/17*c_1100_0^3 + 2301/17*c_1100_0^2 - 1310/17*c_1100_0 + 17 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_1, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 190623/8192*c_1100_0^12 - 41601/4096*c_1100_0^11 + 116203/512*c_1100_0^10 - 1430531/8192*c_1100_0^9 + 3504983/4096*c_1100_0^8 - 6916061/8192*c_1100_0^7 + 13265679/8192*c_1100_0^6 - 11590447/8192*c_1100_0^5 + 6369207/4096*c_1100_0^4 - 4459545/8192*c_1100_0^3 + 2833625/8192*c_1100_0^2 + 130873/4096*c_1100_0 + 338037/8192, c_0011_0 - 1, c_0011_10 + 19/64*c_1100_0^12 - 11/32*c_1100_0^11 + 49/16*c_1100_0^10 - 283/64*c_1100_0^9 + 419/32*c_1100_0^8 - 1265/64*c_1100_0^7 + 1951/64*c_1100_0^6 - 2363/64*c_1100_0^5 + 1205/32*c_1100_0^4 - 1729/64*c_1100_0^3 + 965/64*c_1100_0^2 - 205/32*c_1100_0 + 61/64, c_0011_2 - 1/32*c_1100_0^12 + 7/16*c_1100_0^11 - 3/4*c_1100_0^10 + 141/32*c_1100_0^9 - 109/16*c_1100_0^8 + 571/32*c_1100_0^7 - 841/32*c_1100_0^6 + 1201/32*c_1100_0^5 - 673/16*c_1100_0^4 + 1231/32*c_1100_0^3 - 679/32*c_1100_0^2 + 105/16*c_1100_0 - 19/32, c_0011_5 - 17/32*c_1100_0^12 + 7/16*c_1100_0^11 - 21/4*c_1100_0^10 + 197/32*c_1100_0^9 - 337/16*c_1100_0^8 + 907/32*c_1100_0^7 - 1457/32*c_1100_0^6 + 1665/32*c_1100_0^5 - 849/16*c_1100_0^4 + 1119/32*c_1100_0^3 - 623/32*c_1100_0^2 + 117/16*c_1100_0 - 27/32, c_0101_0 + 1, c_0101_1 - 1/8*c_1100_0^11 + 1/8*c_1100_0^10 - 9/8*c_1100_0^9 + 3/2*c_1100_0^8 - 4*c_1100_0^7 + 45/8*c_1100_0^6 - 29/4*c_1100_0^5 + 55/8*c_1100_0^4 - 43/8*c_1100_0^3 + 3/4*c_1100_0^2 + 23/8*c_1100_0 + 1/8, c_0101_10 - 1/16*c_1100_0^12 + 1/4*c_1100_0^11 - 5/8*c_1100_0^10 + 43/16*c_1100_0^9 - 27/8*c_1100_0^8 + 167/16*c_1100_0^7 - 179/16*c_1100_0^6 + 293/16*c_1100_0^5 - 69/4*c_1100_0^4 + 245/16*c_1100_0^3 - 107/16*c_1100_0^2 + 9/2*c_1100_0 - 21/16, c_0101_2 - 7/64*c_1100_0^12 + 3/32*c_1100_0^11 - 15/16*c_1100_0^10 + 71/64*c_1100_0^9 - 95/32*c_1100_0^8 + 237/64*c_1100_0^7 - 251/64*c_1100_0^6 + 127/64*c_1100_0^5 + 35/32*c_1100_0^4 - 427/64*c_1100_0^3 + 559/64*c_1100_0^2 - 187/32*c_1100_0 + 63/64, c_0101_7 + 1/8*c_1100_0^11 - 1/8*c_1100_0^10 + 9/8*c_1100_0^9 - 3/2*c_1100_0^8 + 4*c_1100_0^7 - 45/8*c_1100_0^6 + 29/4*c_1100_0^5 - 55/8*c_1100_0^4 + 43/8*c_1100_0^3 - 3/4*c_1100_0^2 - 15/8*c_1100_0 - 1/8, c_1001_1 - c_1100_0, c_1001_10 - 7/64*c_1100_0^12 + 11/32*c_1100_0^11 - 19/16*c_1100_0^10 + 231/64*c_1100_0^9 - 199/32*c_1100_0^8 + 909/64*c_1100_0^7 - 1179/64*c_1100_0^6 + 1663/64*c_1100_0^5 - 837/32*c_1100_0^4 + 1413/64*c_1100_0^3 - 705/64*c_1100_0^2 + 165/32*c_1100_0 - 65/64, c_1100_0^13 - c_1100_0^12 + 10*c_1100_0^11 - 13*c_1100_0^10 + 41*c_1100_0^9 - 57*c_1100_0^8 + 90*c_1100_0^7 - 100*c_1100_0^6 + 101*c_1100_0^5 - 61*c_1100_0^4 + 28*c_1100_0^3 - 7*c_1100_0^2 + c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.480 Total time: 0.700 seconds, Total memory usage: 32.09MB