Magma V2.19-8 Tue Aug 20 2013 23:38:58 on localhost [Seed = 3448482221] Type ? for help. Type -D to quit. Loading file "K12n438__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n438 geometric_solution 10.56579905 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 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 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621195584827 0.979993782784 0 5 5 2 0132 0132 3201 2310 0 0 0 0 0 1 -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 0 0 -8 8 0 0 0 0 0 9 -8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024893386244 0.636374561199 1 0 7 6 3201 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 1 -1 0 1 0 0 -1 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621195584827 0.979993782784 7 8 9 0 0213 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 0 0 -1 0 1 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 0.643964422843 0.558544908974 9 8 0 6 0132 0321 0132 1023 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 -1 1 0 0 0 0 -9 9 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504804602900 0.686271500500 1 1 8 10 2310 0132 2103 0132 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 8 -8 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649748862032 1.712239971716 9 10 2 4 1023 2310 0132 1023 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 1 -1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504804602900 0.686271500500 3 10 9 2 0213 2031 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643964422843 0.558544908974 5 3 10 4 2103 0132 2310 0321 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 0 1 -1 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760988796630 0.735835186456 4 6 7 3 0132 1023 1023 0132 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 1 -1 1 0 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796899911000 1.161242299587 7 8 5 6 1302 3201 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 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 0.320883680879 0.656668909606 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_1001_0']), '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_7']), '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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_6'], 's_3_1' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0110_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' : negation(d['c_0101_9']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_0']), 'c_1100_8' : 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_7, c_0101_0, c_0101_5, c_0101_9, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 6077406533/144646903*c_1100_0^11 - 241151380073/578587612*c_1100_0^10 - 2219309929639/1157175224*c_1100_0^9 - 3812264373001/1157175224*c_1100_0^8 - 4318172564977/1157175224*c_1100_0^7 - 3719101011559/1157175224*c_1100_0^6 - 503999604517/578587612*c_1100_0^5 + 1087084246985/578587612*c_1100_0^4 + 2744890450025/1157175224*c_1100_0^3 + 754351005899/578587612*c_1100_0^2 + 44688484208/144646903*c_1100_0 - 2445996971/1157175224, c_0011_0 - 1, c_0011_10 + 3877770254/144646903*c_1100_0^11 - 80932971809/289293806*c_1100_0^10 - 162276125256/144646903*c_1100_0^9 - 160155552240/144646903*c_1100_0^8 + 31557917946/144646903*c_1100_0^7 + 231414492753/289293806*c_1100_0^6 + 36709908932/144646903*c_1100_0^5 - 1235439247/289293806*c_1100_0^4 + 18022857665/289293806*c_1100_0^3 + 10920954264/144646903*c_1100_0^2 + 4013559499/289293806*c_1100_0 - 2912543573/289293806, c_0011_3 + 1619932140/144646903*c_1100_0^11 - 17026965251/144646903*c_1100_0^10 - 133018582307/289293806*c_1100_0^9 - 61876981988/144646903*c_1100_0^8 + 36292304963/289293806*c_1100_0^7 + 47507632258/144646903*c_1100_0^6 + 11855305650/144646903*c_1100_0^5 - 1458848518/144646903*c_1100_0^4 + 7517254889/289293806*c_1100_0^3 + 8442759643/289293806*c_1100_0^2 + 1077847253/289293806*c_1100_0 - 590204111/144646903, c_0011_4 - 2926316834/144646903*c_1100_0^11 + 61132697063/289293806*c_1100_0^10 + 122166789690/144646903*c_1100_0^9 + 239157750051/289293806*c_1100_0^8 - 25274920734/144646903*c_1100_0^7 - 86882345855/144646903*c_1100_0^6 - 26355882003/144646903*c_1100_0^5 + 1391683303/289293806*c_1100_0^4 - 13955307783/289293806*c_1100_0^3 - 16350455991/289293806*c_1100_0^2 - 1537949737/144646903*c_1100_0 + 1164404017/144646903, c_0011_7 - 1619932140/144646903*c_1100_0^11 + 17026965251/144646903*c_1100_0^10 + 133018582307/289293806*c_1100_0^9 + 61876981988/144646903*c_1100_0^8 - 36292304963/289293806*c_1100_0^7 - 47507632258/144646903*c_1100_0^6 - 11855305650/144646903*c_1100_0^5 + 1458848518/144646903*c_1100_0^4 - 7517254889/289293806*c_1100_0^3 - 8442759643/289293806*c_1100_0^2 - 1077847253/289293806*c_1100_0 + 590204111/144646903, c_0101_0 - 2027320888/144646903*c_1100_0^11 + 20948289182/144646903*c_1100_0^10 + 87103753693/144646903*c_1100_0^9 + 182748071895/289293806*c_1100_0^8 - 11412051209/144646903*c_1100_0^7 - 127951785935/289293806*c_1100_0^6 - 22702168586/144646903*c_1100_0^5 + 367444284/144646903*c_1100_0^4 - 5425822531/144646903*c_1100_0^3 - 13231792553/289293806*c_1100_0^2 - 2560132453/289293806*c_1100_0 + 1620032307/289293806, c_0101_5 + 675226702/144646903*c_1100_0^11 - 13696485793/289293806*c_1100_0^10 - 30414531690/144646903*c_1100_0^9 - 70263518951/289293806*c_1100_0^8 - 1826821/144646903*c_1100_0^7 + 22151932135/144646903*c_1100_0^6 + 9671927402/144646903*c_1100_0^5 + 1790811573/289293806*c_1100_0^4 + 4924304591/289293806*c_1100_0^3 + 4877879461/289293806*c_1100_0^2 + 666330547/144646903*c_1100_0 - 200597077/144646903, c_0101_9 + 30950036/144646903*c_1100_0^11 - 356862323/144646903*c_1100_0^10 - 865034140/144646903*c_1100_0^9 - 713070745/144646903*c_1100_0^8 - 946650050/144646903*c_1100_0^7 - 792624567/144646903*c_1100_0^6 + 735169490/144646903*c_1100_0^5 + 865363253/144646903*c_1100_0^4 + 91957677/144646903*c_1100_0^3 + 206009627/144646903*c_1100_0^2 + 70798453/144646903*c_1100_0 + 60065122/144646903, c_0110_6 - 30950036/144646903*c_1100_0^11 + 356862323/144646903*c_1100_0^10 + 865034140/144646903*c_1100_0^9 + 713070745/144646903*c_1100_0^8 + 946650050/144646903*c_1100_0^7 + 792624567/144646903*c_1100_0^6 - 735169490/144646903*c_1100_0^5 - 865363253/144646903*c_1100_0^4 - 91957677/144646903*c_1100_0^3 - 206009627/144646903*c_1100_0^2 - 70798453/144646903*c_1100_0 - 60065122/144646903, c_1001_0 - 3877770254/144646903*c_1100_0^11 + 80932971809/289293806*c_1100_0^10 + 162276125256/144646903*c_1100_0^9 + 160155552240/144646903*c_1100_0^8 - 31557917946/144646903*c_1100_0^7 - 231414492753/289293806*c_1100_0^6 - 36709908932/144646903*c_1100_0^5 + 1235439247/289293806*c_1100_0^4 - 18022857665/289293806*c_1100_0^3 - 10920954264/144646903*c_1100_0^2 - 4013559499/289293806*c_1100_0 + 2912543573/289293806, c_1100_0^12 - 39/4*c_1100_0^11 - 49*c_1100_0^10 - 70*c_1100_0^9 - 81/4*c_1100_0^8 + 141/4*c_1100_0^7 + 119/4*c_1100_0^6 + 25/4*c_1100_0^5 + 9/4*c_1100_0^4 + 9/2*c_1100_0^3 + 5/2*c_1100_0^2 - 1/4 ], 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_7, c_0101_0, c_0101_5, c_0101_9, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 335/19*c_1100_0^5 + 4909/114*c_1100_0^4 + 1185/19*c_1100_0^3 + 29863/342*c_1100_0^2 + 6709/114*c_1100_0 + 680/171, c_0011_0 - 1, c_0011_10 - c_1001_0 - 5/3*c_1100_0^5 - 4/3*c_1100_0^4 - 20/9*c_1100_0^3 - 3*c_1100_0^2 + 16/9*c_1100_0 + 1, c_0011_3 - 2/3*c_1001_0*c_1100_0^5 - 2/9*c_1001_0*c_1100_0^3 + 1/9*c_1001_0*c_1100_0^2 + 10/9*c_1001_0*c_1100_0 + 1/9*c_1001_0 + 1/3*c_1100_0^4 - 1/3*c_1100_0^3 + 4/9*c_1100_0^2 - 5/9, c_0011_4 - 2/3*c_1100_0^5 - 5/3*c_1100_0^4 - 14/9*c_1100_0^3 - 19/9*c_1100_0^2 + 1/9*c_1100_0 + 17/9, c_0011_7 - 2/3*c_1001_0*c_1100_0^5 - 2/9*c_1001_0*c_1100_0^3 + 1/9*c_1001_0*c_1100_0^2 + 10/9*c_1001_0*c_1100_0 + 1/9*c_1001_0 + 1/3*c_1100_0^4 - 1/3*c_1100_0^3 + 4/9*c_1100_0^2 + 4/9, c_0101_0 - 1/3*c_1100_0^4 + 1/3*c_1100_0^3 - 4/9*c_1100_0^2 + 5/9, c_0101_5 + 4/3*c_1100_0^5 + 5/3*c_1100_0^4 + 16/9*c_1100_0^3 + 2*c_1100_0^2 - 11/9*c_1100_0 - 2, c_0101_9 + 1/3*c_1001_0*c_1100_0^4 - 1/3*c_1001_0*c_1100_0^3 + 4/9*c_1001_0*c_1100_0^2 + c_1001_0*c_1100_0 - 5/9*c_1001_0 - c_1100_0, c_0110_6 + 1/3*c_1001_0*c_1100_0^4 - 1/3*c_1001_0*c_1100_0^3 + 4/9*c_1001_0*c_1100_0^2 + c_1001_0*c_1100_0 - 5/9*c_1001_0 - 2/3*c_1100_0^5 - 2/9*c_1100_0^3 + 1/9*c_1100_0^2 + 10/9*c_1100_0 + 1/9, c_1001_0^2 + 5/3*c_1001_0*c_1100_0^5 + 4/3*c_1001_0*c_1100_0^4 + 20/9*c_1001_0*c_1100_0^3 + 3*c_1001_0*c_1100_0^2 - 16/9*c_1001_0*c_1100_0 - c_1001_0 + 1/3*c_1100_0^5 - 1/3*c_1100_0^4 + 4/9*c_1100_0^3 - 5/9*c_1100_0 + 1, c_1100_0^6 + 2*c_1100_0^5 + 7/3*c_1100_0^4 + 3*c_1100_0^3 + 2/3*c_1100_0^2 - 2*c_1100_0 - 2/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB