Magma V2.19-8 Tue Aug 20 2013 23:56:00 on localhost [Seed = 3734550265] Type ? for help. Type -D to quit. Loading file "L14n13514__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13514 geometric_solution 10.33670135 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 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 -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 0.736927035394 0.452433600269 0 4 3 5 0132 0132 3012 0132 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 0 0.713953171732 0.341397213336 6 0 5 0 0132 0132 0213 1023 1 1 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 1 0 -1 0 0 1 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.014484082128 0.605053815955 7 1 5 0 0132 1230 0132 0132 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 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 0 0 0 -0.020394297935 0.897384696381 8 1 6 7 0132 0132 1023 2031 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 0 1.295400379300 0.731827434495 7 2 1 3 2103 0213 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351785431261 1.145221182525 2 9 4 8 0132 0132 1023 0132 1 1 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 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 0.572625837392 0.497950932579 3 4 5 10 0132 1302 2103 0132 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 -1 1 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 0.955020072539 1.236285598982 4 11 6 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363695491699 0.334802967347 11 6 10 8 0132 0132 3012 1023 1 1 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 0 0 0 1 0 -1 0 1 -1 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.050315670112 1.198648693046 11 9 7 11 3120 1230 0132 0132 1 1 0 1 0 0 0 0 1 0 0 -1 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 -1 0 2 0 1 -3 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.090165678657 0.575749099420 9 8 10 10 0132 0132 0132 3120 1 1 0 0 0 0 0 0 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 0 0 -1 0 3 -2 2 0 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734507660631 1.695290021340 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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_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_1100_9' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1001_10'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_1001_10']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : d['c_1001_3'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : d['c_0101_4'], 'c_1010_8' : d['c_0101_11'], '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'], '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_0']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0101_11'], 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_0'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_4'], '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_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_5']})} 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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_1001_10, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 248379514294169661893/570290991773184000*c_1001_3^12 + 775941943767166712797/114058198354636800*c_1001_3^11 - 7953257971192372050217/190096997257728000*c_1001_3^10 + 6220448095662532845577/57029099177318400*c_1001_3^9 - 13964995045014419713537/285145495886592000*c_1001_3^8 - 2294473397002545424319/17281545205248000*c_1001_3^7 - 127944300828292171586717/570290991773184000*c_1001_3^6 - 1546839113525703529421/17821593492912000*c_1001_3^5 - 14792126952921128392141/142572747943296000*c_1001_3^4 - 161319359135317729243/11881062328608000*c_1001_3^3 - 137706109561939076699/7128637397164800*c_1001_3^2 - 39776908015344431989/15841416438144000*c_1001_3 - 1870043491981380838549/570290991773184000, c_0011_0 - 1, c_0011_10 - 20135968693/228889126400*c_1001_3^12 + 62766978937/45777825280*c_1001_3^11 - 1915525554851/228889126400*c_1001_3^10 + 484975070127/22888912640*c_1001_3^9 - 645310673987/114444563200*c_1001_3^8 - 766881542057/20808102400*c_1001_3^7 - 9031186747317/228889126400*c_1001_3^6 - 641817847943/57222281600*c_1001_3^5 - 134797754933/28611140800*c_1001_3^4 + 16555153809/57222281600*c_1001_3^3 + 26912396519/11444456320*c_1001_3^2 - 2736052293/1788196300*c_1001_3 + 142043018951/228889126400, c_0011_3 - 11311805841/114444563200*c_1001_3^12 + 37081208029/22888912640*c_1001_3^11 - 1224259028887/114444563200*c_1001_3^10 + 369251314159/11444456320*c_1001_3^9 - 1790847040619/57222281600*c_1001_3^8 - 200411200109/10404051200*c_1001_3^7 - 3007610383329/114444563200*c_1001_3^6 + 372832835559/28611140800*c_1001_3^5 - 126735296223/7152785200*c_1001_3^4 + 303171674183/28611140800*c_1001_3^3 - 23669265727/5722228160*c_1001_3^2 - 10559655731/14305570400*c_1001_3 - 96672474413/114444563200, c_0011_5 + 7061277011/45777825280*c_1001_3^12 - 22750025635/9155565056*c_1001_3^11 + 731656033997/45777825280*c_1001_3^10 - 209012897851/4577782528*c_1001_3^9 + 795166976819/22888912640*c_1001_3^8 + 180407293459/4161620480*c_1001_3^7 + 2328684638059/45777825280*c_1001_3^6 - 58897243887/5722228160*c_1001_3^5 + 240910852837/11444456320*c_1001_3^4 - 45327849709/5722228160*c_1001_3^3 + 1473649307/1144445632*c_1001_3^2 + 840772077/11444456320*c_1001_3 + 3910991723/45777825280, c_0101_0 - 1, c_0101_1 + 11311805841/114444563200*c_1001_3^12 - 37081208029/22888912640*c_1001_3^11 + 1224259028887/114444563200*c_1001_3^10 - 369251314159/11444456320*c_1001_3^9 + 1790847040619/57222281600*c_1001_3^8 + 200411200109/10404051200*c_1001_3^7 + 3007610383329/114444563200*c_1001_3^6 - 372832835559/28611140800*c_1001_3^5 + 126735296223/7152785200*c_1001_3^4 - 303171674183/28611140800*c_1001_3^3 + 23669265727/5722228160*c_1001_3^2 - 3745914669/14305570400*c_1001_3 + 96672474413/114444563200, c_0101_10 - 769695999/45777825280*c_1001_3^12 + 2281155775/9155565056*c_1001_3^11 - 63542476353/45777825280*c_1001_3^10 + 12158833535/4577782528*c_1001_3^9 + 70743464089/22888912640*c_1001_3^8 - 45075106031/4161620480*c_1001_3^7 - 506484336151/45777825280*c_1001_3^6 - 24300752307/5722228160*c_1001_3^5 + 15263455747/11444456320*c_1001_3^4 - 20876861509/5722228160*c_1001_3^3 + 2202460311/1144445632*c_1001_3^2 - 19293304653/11444456320*c_1001_3 + 21183831033/45777825280, c_0101_11 + 4516793261/228889126400*c_1001_3^12 - 13551998569/45777825280*c_1001_3^11 + 380824426427/228889126400*c_1001_3^10 - 71219487699/22888912640*c_1001_3^9 - 573968062001/114444563200*c_1001_3^8 + 395470843289/20808102400*c_1001_3^7 + 1405532147709/228889126400*c_1001_3^6 - 116459161939/57222281600*c_1001_3^5 - 120495911317/14305570400*c_1001_3^4 + 144428696957/57222281600*c_1001_3^3 - 45456322253/11444456320*c_1001_3^2 + 49781762451/28611140800*c_1001_3 - 108023986727/228889126400, c_0101_4 - 948515629/45777825280*c_1001_3^12 + 2889142517/9155565056*c_1001_3^11 - 84822012323/45777825280*c_1001_3^10 + 19418910513/4577782528*c_1001_3^9 + 15845837679/22888912640*c_1001_3^8 - 39336621541/4161620480*c_1001_3^7 - 641135517541/45777825280*c_1001_3^6 - 3790558451/2861114080*c_1001_3^5 - 25507419893/11444456320*c_1001_3^4 + 53107721/357639260*c_1001_3^3 - 1142956201/572222816*c_1001_3^2 + 14682425047/11444456320*c_1001_3 - 24057535357/45777825280, c_0101_6 - 1, c_1001_10 + 333281497/57222281600*c_1001_3^12 - 1212393133/11444456320*c_1001_3^11 + 46040736679/57222281600*c_1001_3^10 - 17620515623/5722228160*c_1001_3^9 + 159681199823/28611140800*c_1001_3^8 - 17126210347/5202025600*c_1001_3^7 + 70956819193/57222281600*c_1001_3^6 - 65603302353/14305570400*c_1001_3^5 + 17541563441/3576392600*c_1001_3^4 - 85206843461/14305570400*c_1001_3^3 + 2959897419/2861114080*c_1001_3^2 - 1638898699/3576392600*c_1001_3 + 5955146421/57222281600, c_1001_3^13 - 16*c_1001_3^12 + 102*c_1001_3^11 - 287*c_1001_3^10 + 208*c_1001_3^9 + 261*c_1001_3^8 + 400*c_1001_3^7 + 5*c_1001_3^6 + 164*c_1001_3^5 - 60*c_1001_3^4 + 32*c_1001_3^3 - 12*c_1001_3^2 + 5*c_1001_3 - 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB