Magma V2.19-8 Tue Aug 20 2013 23:39:17 on localhost [Seed = 1031493999] Type ? for help. Type -D to quit. Loading file "K13n1836__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1836 geometric_solution 10.59659236 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 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 0.295213887153 0.983211885376 0 5 7 6 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 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 0.582797906071 0.528224773159 8 0 9 6 0132 0132 0132 2031 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 -1 0 0 1 2 0 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365797570133 0.805983832973 4 8 5 0 0321 2103 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 -1 0 1 0 0 0 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481599090936 0.671854824554 3 6 0 10 0321 2031 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 -1 0 -1 0 0 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 0.212126298913 1.119987230679 3 1 7 9 2103 0132 3201 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.178608235437 0.991053883843 4 2 1 10 1302 1302 0132 3120 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 0 1 0 0 0 0 -1 0 0 1 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675976006261 0.761752033720 5 9 8 1 2310 1230 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.992804796714 0.892154594337 2 3 7 10 0132 2103 0321 3201 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 1 0 0 -1 -1 1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365797570133 0.805983832973 5 10 7 2 3012 2310 3012 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.902609958368 0.947504818671 6 8 4 9 3120 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.472849833422 1.111628549779 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_10'], 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0110_10']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_9'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0110_10']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : d['c_0011_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_3']), 's_2_0' : negation(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_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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_9']), 'c_1100_3' : negation(d['c_0011_9']), 'c_1100_2' : d['c_0011_10'], 'c_1100_10' : negation(d['c_0011_9']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0110_10']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : negation(d['c_0011_7']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0101_7']), 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_7, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 275241673/905735072*c_0110_10^11 + 2093574215/1811470144*c_0110_10^10 - 584223567/905735072*c_0110_10^9 - 3339149/1159712*c_0110_10^8 + 8562995795/1811470144*c_0110_10^7 + 775747259/452867536*c_0110_10^6 - 3041622927/905735072*c_0110_10^5 - 1682253773/164679104*c_0110_10^4 - 15522429785/905735072*c_0110_10^3 + 22730797631/905735072*c_0110_10^2 + 16060757541/1811470144*c_0110_10 - 605384247/452867536, c_0011_0 - 1, c_0011_10 + 4945/289928*c_0110_10^11 + 23551/289928*c_0110_10^10 + 8205/144964*c_0110_10^9 - 15149/289928*c_0110_10^8 + 61497/289928*c_0110_10^7 + 21767/72482*c_0110_10^6 + 61827/289928*c_0110_10^5 - 163103/289928*c_0110_10^4 - 92077/144964*c_0110_10^3 - 19079/289928*c_0110_10^2 + 2767/289928*c_0110_10 + 26233/72482, c_0011_3 + 3571/579856*c_0110_10^11 - 605/72482*c_0110_10^10 - 33797/289928*c_0110_10^9 + 19211/579856*c_0110_10^8 + 70073/289928*c_0110_10^7 - 33061/72482*c_0110_10^6 + 99233/579856*c_0110_10^5 - 23469/72482*c_0110_10^4 + 304873/289928*c_0110_10^3 + 793081/579856*c_0110_10^2 + 13579/289928*c_0110_10 + 2975/72482, c_0011_4 - 15553/579856*c_0110_10^11 - 26655/289928*c_0110_10^10 + 18533/289928*c_0110_10^9 + 79439/579856*c_0110_10^8 - 14745/36241*c_0110_10^7 + 11065/72482*c_0110_10^6 - 19915/579856*c_0110_10^5 + 312015/289928*c_0110_10^4 + 309051/289928*c_0110_10^3 - 591979/579856*c_0110_10^2 + 10117/72482*c_0110_10 + 32670/36241, c_0011_6 + 16679/579856*c_0110_10^11 + 40161/289928*c_0110_10^10 + 29287/289928*c_0110_10^9 - 51785/579856*c_0110_10^8 + 12019/36241*c_0110_10^7 + 32887/72482*c_0110_10^6 + 287629/579856*c_0110_10^5 - 164521/289928*c_0110_10^4 - 509119/289928*c_0110_10^3 - 472083/579856*c_0110_10^2 + 41225/72482*c_0110_10 - 14390/36241, c_0011_7 - 21617/579856*c_0110_10^11 - 9125/72482*c_0110_10^10 + 25181/289928*c_0110_10^9 + 104055/579856*c_0110_10^8 - 154941/289928*c_0110_10^7 + 2117/36241*c_0110_10^6 - 172187/579856*c_0110_10^5 + 119255/72482*c_0110_10^4 + 77451/289928*c_0110_10^3 - 695635/579856*c_0110_10^2 - 356479/289928*c_0110_10 + 23905/72482, c_0011_9 + 5991/289928*c_0110_10^11 + 29075/289928*c_0110_10^10 + 1908/36241*c_0110_10^9 - 49325/289928*c_0110_10^8 + 47887/289928*c_0110_10^7 + 10998/36241*c_0110_10^6 - 39659/289928*c_0110_10^5 - 218139/289928*c_0110_10^4 - 153481/72482*c_0110_10^3 - 100551/289928*c_0110_10^2 + 235881/289928*c_0110_10 + 4167/72482, c_0101_1 - 30119/579856*c_0110_10^11 - 8668/36241*c_0110_10^10 - 41327/289928*c_0110_10^9 + 101753/579856*c_0110_10^8 - 148759/289928*c_0110_10^7 - 20332/36241*c_0110_10^6 - 558565/579856*c_0110_10^5 + 110971/72482*c_0110_10^4 + 919143/289928*c_0110_10^3 + 578171/579856*c_0110_10^2 - 190097/289928*c_0110_10 - 30065/72482, c_0101_7 - 11765/144964*c_0110_10^11 - 43353/144964*c_0110_10^10 + 3413/36241*c_0110_10^9 + 13362/36241*c_0110_10^8 - 167199/144964*c_0110_10^7 - 3234/36241*c_0110_10^6 - 78939/144964*c_0110_10^5 + 476069/144964*c_0110_10^4 + 71332/36241*c_0110_10^3 - 41850/36241*c_0110_10^2 - 159389/144964*c_0110_10 + 31506/36241, c_0101_9 + 12949/579856*c_0110_10^11 + 10355/289928*c_0110_10^10 - 66167/289928*c_0110_10^9 - 116871/579856*c_0110_10^8 + 55809/144964*c_0110_10^7 - 38167/72482*c_0110_10^6 - 110497/579856*c_0110_10^5 - 623243/289928*c_0110_10^4 + 199847/289928*c_0110_10^3 + 1244939/579856*c_0110_10^2 + 129877/144964*c_0110_10 - 7226/36241, c_0110_10^12 + 3*c_0110_10^11 - 4*c_0110_10^10 - 5*c_0110_10^9 + 17*c_0110_10^8 - 8*c_0110_10^7 + 3*c_0110_10^6 - 47*c_0110_10^5 - 4*c_0110_10^4 + 49*c_0110_10^3 + 11*c_0110_10^2 - 16*c_0110_10 + 16 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_7, c_0011_9, c_0101_1, c_0101_7, c_0101_9, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 31150402572/7702417*c_0110_10^12 - 53766340380/7702417*c_0110_10^11 + 655798894983/30809668*c_0110_10^10 - 2863122611089/61619336*c_0110_10^9 + 5066729167063/61619336*c_0110_10^8 - 1395855189577/15404834*c_0110_10^7 + 2602365186371/30809668*c_0110_10^6 - 1795912323609/30809668*c_0110_10^5 + 290316779765/7702417*c_0110_10^4 - 1040967053189/61619336*c_0110_10^3 + 110349942033/15404834*c_0110_10^2 - 54254861925/30809668*c_0110_10 + 24974564087/61619336, c_0011_0 - 1, c_0011_10 + 242180896/7702417*c_0110_10^12 - 605642764/7702417*c_0110_10^11 + 1526297840/7702417*c_0110_10^10 - 14435629919/30809668*c_0110_10^9 + 26683117407/30809668*c_0110_10^8 - 8279694178/7702417*c_0110_10^7 + 15096922213/15404834*c_0110_10^6 - 10876187367/15404834*c_0110_10^5 + 6608798573/15404834*c_0110_10^4 - 6679773425/30809668*c_0110_10^3 + 616665446/7702417*c_0110_10^2 - 174137349/7702417*c_0110_10 + 120123923/30809668, c_0011_3 - c_0110_10, c_0011_4 - 176388/20323*c_0110_10^12 + 388986/20323*c_0110_10^11 - 4029273/81292*c_0110_10^10 + 9407259/81292*c_0110_10^9 - 4198864/20323*c_0110_10^8 + 9775799/40646*c_0110_10^7 - 8379701/40646*c_0110_10^6 + 5543155/40646*c_0110_10^5 - 5899743/81292*c_0110_10^4 + 1295017/40646*c_0110_10^3 - 358735/40646*c_0110_10^2 + 108875/81292*c_0110_10 + 14847/20323, c_0011_6 - 141893282/7702417*c_0110_10^12 + 254040611/7702417*c_0110_10^11 - 5551316385/61619336*c_0110_10^10 + 6331677919/30809668*c_0110_10^9 - 21409727989/61619336*c_0110_10^8 + 10836378355/30809668*c_0110_10^7 - 2074520926/7702417*c_0110_10^6 + 2481191613/15404834*c_0110_10^5 - 5338818889/61619336*c_0110_10^4 + 2215718195/61619336*c_0110_10^3 - 56580421/7702417*c_0110_10^2 + 165451745/61619336*c_0110_10 - 3298197/61619336, c_0011_7 - 58326084/7702417*c_0110_10^12 + 67612142/7702417*c_0110_10^11 - 844175313/30809668*c_0110_10^10 + 468031666/7702417*c_0110_10^9 - 2677951801/30809668*c_0110_10^8 + 756834739/15404834*c_0110_10^7 - 117800179/7702417*c_0110_10^6 + 8756384/7702417*c_0110_10^5 + 33177699/30809668*c_0110_10^4 - 158850299/30809668*c_0110_10^3 + 84209713/15404834*c_0110_10^2 - 9079085/30809668*c_0110_10 + 19367875/30809668, c_0011_9 - 176388/20323*c_0110_10^12 + 388986/20323*c_0110_10^11 - 4029273/81292*c_0110_10^10 + 9407259/81292*c_0110_10^9 - 4198864/20323*c_0110_10^8 + 9775799/40646*c_0110_10^7 - 8379701/40646*c_0110_10^6 + 5543155/40646*c_0110_10^5 - 5899743/81292*c_0110_10^4 + 1295017/40646*c_0110_10^3 - 358735/40646*c_0110_10^2 + 108875/81292*c_0110_10 + 14847/20323, c_0101_1 - 167543646/7702417*c_0110_10^12 + 384685809/7702417*c_0110_10^11 - 7914653423/61619336*c_0110_10^10 + 4642317279/15404834*c_0110_10^9 - 33555236897/61619336*c_0110_10^8 + 20041231033/30809668*c_0110_10^7 - 8853578781/15404834*c_0110_10^6 + 3052442879/7702417*c_0110_10^5 - 13891536123/61619336*c_0110_10^4 + 6547813915/61619336*c_0110_10^3 - 522609301/15404834*c_0110_10^2 + 504908899/61619336*c_0110_10 - 25930537/61619336, c_0101_7 + 58326084/7702417*c_0110_10^12 - 67612142/7702417*c_0110_10^11 + 844175313/30809668*c_0110_10^10 - 468031666/7702417*c_0110_10^9 + 2677951801/30809668*c_0110_10^8 - 756834739/15404834*c_0110_10^7 + 117800179/7702417*c_0110_10^6 - 8756384/7702417*c_0110_10^5 - 33177699/30809668*c_0110_10^4 + 158850299/30809668*c_0110_10^3 - 84209713/15404834*c_0110_10^2 + 9079085/30809668*c_0110_10 - 19367875/30809668, c_0101_9 - 12975810/7702417*c_0110_10^12 - 19684217/7702417*c_0110_10^11 + 193584831/61619336*c_0110_10^10 - 105684715/7702417*c_0110_10^9 + 2567683053/61619336*c_0110_10^8 - 3104191393/30809668*c_0110_10^7 + 2096046953/15404834*c_0110_10^6 - 1063679719/7702417*c_0110_10^5 + 6237300355/61619336*c_0110_10^4 - 3723486543/61619336*c_0110_10^3 + 449663829/15404834*c_0110_10^2 - 578123075/61619336*c_0110_10 + 162213453/61619336, c_0110_10^13 - 5/2*c_0110_10^12 + 105/16*c_0110_10^11 - 247/16*c_0110_10^10 + 463/16*c_0110_10^9 - 599/16*c_0110_10^8 + 295/8*c_0110_10^7 - 115/4*c_0110_10^6 + 301/16*c_0110_10^5 - 41/4*c_0110_10^4 + 71/16*c_0110_10^3 - 25/16*c_0110_10^2 + 3/8*c_0110_10 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB