Magma V2.19-8 Wed Aug 21 2013 00:51:11 on localhost [Seed = 3886150372] Type ? for help. Type -D to quit. Loading file "L11a196__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a196 geometric_solution 12.42109247 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 0213 0 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 1 0 0 -1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459098907355 0.673137044443 0 3 5 4 0132 1023 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 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 -0.060951412165 0.968212036116 6 0 7 0 0132 0132 0132 0213 0 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459098907355 0.673137044443 1 8 8 0 1023 0132 0321 0132 0 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 0.821151061329 1.216415533329 9 9 1 6 0132 1302 0132 1023 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 1 0 -1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854765532145 1.039528790048 5 6 5 1 2031 3201 1302 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 0.562701010189 0.817708975772 2 8 5 4 0132 1023 2310 1023 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 0.526922382676 0.491902204045 9 10 10 2 2103 0132 0321 0132 0 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 -1 0 1 -1 0 1 0 1 -1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494097131755 0.984685254505 6 3 3 11 1023 0132 0321 0132 0 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 0.821151061329 1.216415533329 4 12 7 4 0132 0132 2103 2031 1 1 1 1 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 0 -1 0 1 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.131826026643 0.943556663906 11 7 7 12 0321 0132 0321 1230 0 1 1 1 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 0 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.494097131755 0.984685254505 10 12 8 12 0321 1230 0132 1023 0 1 1 1 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 3 -1 -2 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 0 0 0.617563088589 0.474246231172 10 9 11 11 3012 0132 3012 1023 1 0 1 1 0 0 0 0 0 0 -1 1 0 -1 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 0 -3 0 3 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030362122380 1.277714934676 ==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' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0101_12'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : 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' : negation(d['c_0101_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' : 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_1100_8' : d['c_1001_11'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_10'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_0101_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_1001_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'], 'c_1100_12' : negation(d['c_1001_11']), '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' : d['c_0011_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_12'], 'c_0101_12' : d['c_0101_12'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0101_10']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0101_10']), '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_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_11, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_3, c_1001_0, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 220746832480510402/207622888164367839*c_1001_11^19 - 3215177733411455/1134551301444633*c_1001_11^18 - 1517856558646294925/207622888164367839*c_1001_11^17 - 2788386228928727461/207622888164367839*c_1001_11^16 - 1172934542044711646/207622888164367839*c_1001_11^15 - 2456036238455891593/207622888164367839*c_1001_11^14 - 412896959209539886/23069209796040871*c_1001_11^13 - 9726379564462267016/207622888164367839*c_1001_11^12 - 4584610931564771378/69207629388122613*c_1001_11^11 - 6700624745788913305/69207629388122613*c_1001_11^10 - 20888913795051574922/207622888164367839*c_1001_11^9 - 27987378444005928094/207622888164367839*c_1001_11^8 - 22186053512179919056/207622888164367839*c_1001_11^7 - 9703382276624727908/69207629388122613*c_1001_11^6 - 25897494520062452995/207622888164367839*c_1001_11^5 - 67420627386332663/490834250979593*c_1001_11^4 - 2099190794020192603/23069209796040871*c_1001_11^3 - 13767883043633474065/207622888164367839*c_1001_11^2 - 131411526285974395/3403653904333899*c_1001_11 - 3421629900590423713/207622888164367839, c_0011_0 - 1, c_0011_10 + 4408278279/19945349251*c_1001_11^19 + 4894443097/19945349251*c_1001_11^18 + 10793985581/19945349251*c_1001_11^17 + 6013166728/19945349251*c_1001_11^16 + 20313416227/19945349251*c_1001_11^15 + 16927716549/19945349251*c_1001_11^14 + 47403032221/19945349251*c_1001_11^13 + 55873975676/19945349251*c_1001_11^12 + 88299374114/19945349251*c_1001_11^11 + 95668105993/19945349251*c_1001_11^10 + 132262597985/19945349251*c_1001_11^9 + 88753867615/19945349251*c_1001_11^8 + 148748465209/19945349251*c_1001_11^7 + 78547854561/19945349251*c_1001_11^6 + 125706748954/19945349251*c_1001_11^5 + 1677267421/424369133*c_1001_11^4 + 60545524312/19945349251*c_1001_11^3 + 36044742822/19945349251*c_1001_11^2 - 1707686123/19945349251*c_1001_11 + 4673864192/19945349251, c_0011_11 + 7521593191/19945349251*c_1001_11^19 + 6493289626/19945349251*c_1001_11^18 + 10746193068/19945349251*c_1001_11^17 + 2666086611/19945349251*c_1001_11^16 + 31034420053/19945349251*c_1001_11^15 + 23392175854/19945349251*c_1001_11^14 + 55231307569/19945349251*c_1001_11^13 + 60534542472/19945349251*c_1001_11^12 + 109492113343/19945349251*c_1001_11^11 + 101957926339/19945349251*c_1001_11^10 + 149197984032/19945349251*c_1001_11^9 + 66252454785/19945349251*c_1001_11^8 + 173458947076/19945349251*c_1001_11^7 + 78742827559/19945349251*c_1001_11^6 + 124028080683/19945349251*c_1001_11^5 + 1117276604/424369133*c_1001_11^4 + 69983063090/19945349251*c_1001_11^3 + 30784727182/19945349251*c_1001_11^2 + 7840360331/19945349251*c_1001_11 + 1811407328/19945349251, c_0011_5 - 3926383850/19945349251*c_1001_11^19 - 3617551152/19945349251*c_1001_11^18 - 228654943/19945349251*c_1001_11^17 + 9704865183/19945349251*c_1001_11^16 - 5303487810/19945349251*c_1001_11^15 - 12091904536/19945349251*c_1001_11^14 - 14082981367/19945349251*c_1001_11^13 + 5786924848/19945349251*c_1001_11^12 - 1368030458/19945349251*c_1001_11^11 + 6315376985/19945349251*c_1001_11^10 + 11242327010/19945349251*c_1001_11^9 + 70732806478/19945349251*c_1001_11^8 + 40361611825/19945349251*c_1001_11^7 + 41299414114/19945349251*c_1001_11^6 + 18126838086/19945349251*c_1001_11^5 + 1827265900/424369133*c_1001_11^4 + 101011983018/19945349251*c_1001_11^3 + 30957132526/19945349251*c_1001_11^2 + 16913233012/19945349251*c_1001_11 + 34679669320/19945349251, c_0101_0 - 5383373832/19945349251*c_1001_11^19 - 9322158223/19945349251*c_1001_11^18 - 15307231656/19945349251*c_1001_11^17 - 11394021544/19945349251*c_1001_11^16 - 21717163216/19945349251*c_1001_11^15 - 31861570750/19945349251*c_1001_11^14 - 66845443380/19945349251*c_1001_11^13 - 93599272800/19945349251*c_1001_11^12 - 119168614201/19945349251*c_1001_11^11 - 147469980650/19945349251*c_1001_11^10 - 192913385273/19945349251*c_1001_11^9 - 158144909940/19945349251*c_1001_11^8 - 179271661332/19945349251*c_1001_11^7 - 156521138735/19945349251*c_1001_11^6 - 160066876611/19945349251*c_1001_11^5 - 3383358047/424369133*c_1001_11^4 - 69835285269/19945349251*c_1001_11^3 - 50537295037/19945349251*c_1001_11^2 - 14672943526/19945349251*c_1001_11 - 14253741659/19945349251, c_0101_1 - 4147444777/19945349251*c_1001_11^19 - 6285664136/19945349251*c_1001_11^18 - 5466020957/19945349251*c_1001_11^17 + 413593811/19945349251*c_1001_11^16 - 12009288952/19945349251*c_1001_11^15 - 25907035945/19945349251*c_1001_11^14 - 33005052874/19945349251*c_1001_11^13 - 34007756736/19945349251*c_1001_11^12 - 49884165212/19945349251*c_1001_11^11 - 73272394682/19945349251*c_1001_11^10 - 78911288999/19945349251*c_1001_11^9 - 39233494299/19945349251*c_1001_11^8 - 61563001594/19945349251*c_1001_11^7 - 85431070838/19945349251*c_1001_11^6 - 59087366465/19945349251*c_1001_11^5 - 821600214/424369133*c_1001_11^4 + 6967153173/19945349251*c_1001_11^\ 3 - 45769670368/19945349251*c_1001_11^2 - 9279545584/19945349251*c_1001_11 + 14335598115/19945349251, c_0101_10 - 601699601/19945349251*c_1001_11^19 + 1866921070/19945349251*c_1001_11^18 + 9138490335/19945349251*c_1001_11^17 + 9365846533/19945349251*c_1001_11^16 + 2743432504/19945349251*c_1001_11^15 + 5005683262/19945349251*c_1001_11^14 + 31825490740/19945349251*c_1001_11^13 + 38973183810/19945349251*c_1001_11^12 + 47363517507/19945349251*c_1001_11^11 + 67686098430/19945349251*c_1001_11^10 + 98688858272/19945349251*c_1001_11^9 + 107648108036/19945349251*c_1001_11^8 + 104237716447/19945349251*c_1001_11^7 + 67862785670/19945349251*c_1001_11^6 + 130263805737/19945349251*c_1001_11^5 + 2195971117/424369133*c_1001_11^4 + 66337301599/19945349251*c_1001_11^3 + 29467870574/19945349251*c_1001_11^2 + 27966474669/19945349251*c_1001_11 + 11816353173/19945349251, c_0101_12 - 6030328986/19945349251*c_1001_11^19 - 5860730813/19945349251*c_1001_11^18 - 12960333054/19945349251*c_1001_11^17 - 5802307268/19945349251*c_1001_11^16 - 29658829894/19945349251*c_1001_11^15 - 20870909427/19945349251*c_1001_11^14 - 60445312033/19945349251*c_1001_11^13 - 62755298419/19945349251*c_1001_11^12 - 119201160088/19945349251*c_1001_11^11 - 115954568844/19945349251*c_1001_11^10 - 173279111506/19945349251*c_1001_11^9 - 102674820628/19945349251*c_1001_11^8 - 203921007325/19945349251*c_1001_11^7 - 95303706788/19945349251*c_1001_11^6 - 178032201791/19945349251*c_1001_11^5 - 1630346261/424369133*c_1001_11^4 - 107896510164/19945349251*c_1001_11^3 - 42738851553/19945349251*c_1001_11^2 - 22523689622/19945349251*c_1001_11 - 3269901782/19945349251, c_0101_2 - 1665217793/19945349251*c_1001_11^19 - 7327130953/19945349251*c_1001_11^18 - 15890522059/19945349251*c_1001_11^17 - 13591633779/19945349251*c_1001_11^16 - 12758065888/19945349251*c_1001_11^15 - 24658960467/19945349251*c_1001_11^14 - 65864087647/19945349251*c_1001_11^13 - 80908345833/19945349251*c_1001_11^12 - 108385671607/19945349251*c_1001_11^11 - 139164998966/19945349251*c_1001_11^10 - 199692989785/19945349251*c_1001_11^9 - 196983355929/19945349251*c_1001_11^8 - 191328722517/19945349251*c_1001_11^7 - 166495748106/19945349251*c_1001_11^6 - 244801318374/19945349251*c_1001_11^5 - 3647245182/424369133*c_1001_11^4 - 143862456200/19945349251*c_1001_11^3 - 50856722222/19945349251*c_1001_11^2 - 69671352849/19945349251*c_1001_11 - 26477600563/19945349251, c_0101_3 - 3938784391/19945349251*c_1001_11^19 - 4540483992/19945349251*c_1001_11^18 - 6010647712/19945349251*c_1001_11^17 + 5199705944/19945349251*c_1001_11^16 - 10328075422/19945349251*c_1001_11^15 - 13011705060/19945349251*c_1001_11^14 - 34382160648/19945349251*c_1001_11^13 - 11501137561/19945349251*c_1001_11^12 - 39802504010/19945349251*c_1001_11^11 - 31412170313/19945349251*c_1001_11^10 - 50477433300/19945349251*c_1001_11^9 + 19913170452/19945349251*c_1001_11^8 - 38086914431/19945349251*c_1001_11^7 + 17584459845/19945349251*c_1001_11^6 - 62117099233/19945349251*c_1001_11^5 + 1263099717/424369133*c_1001_11^4 + 8679817115/19945349251*c_1001_11^3 + 23010673298/19945349251*c_1001_11^2 + 1896379837/19945349251*c_1001_11 + 36095470747/19945349251, c_1001_0 - 1, c_1001_10 - 7521593191/19945349251*c_1001_11^19 - 6493289626/19945349251*c_1001_11^18 - 10746193068/19945349251*c_1001_11^17 - 2666086611/19945349251*c_1001_11^16 - 31034420053/19945349251*c_1001_11^15 - 23392175854/19945349251*c_1001_11^14 - 55231307569/19945349251*c_1001_11^13 - 60534542472/19945349251*c_1001_11^12 - 109492113343/19945349251*c_1001_11^11 - 101957926339/19945349251*c_1001_11^10 - 149197984032/19945349251*c_1001_11^9 - 66252454785/19945349251*c_1001_11^8 - 173458947076/19945349251*c_1001_11^7 - 78742827559/19945349251*c_1001_11^6 - 124028080683/19945349251*c_1001_11^5 - 1117276604/424369133*c_1001_11^4 - 69983063090/19945349251*c_1001_11^3 - 30784727182/19945349251*c_1001_11^2 + 12104988920/19945349251*c_1001_11 - 1811407328/19945349251, c_1001_11^20 + c_1001_11^19 + 2*c_1001_11^18 + c_1001_11^17 + 5*c_1001_11^16 + 4*c_1001_11^15 + 10*c_1001_11^14 + 11*c_1001_11^13 + 20*c_1001_11^12 + 20*c_1001_11^11 + 30*c_1001_11^10 + 20*c_1001_11^9 + 37*c_1001_11^8 + 22*c_1001_11^7 + 33*c_1001_11^6 + 18*c_1001_11^5 + 24*c_1001_11^4 + 11*c_1001_11^3 + 7*c_1001_11^2 + 3*c_1001_11 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB