Magma V2.19-8 Tue Aug 20 2013 23:38:57 on localhost [Seed = 3785852290] Type ? for help. Type -D to quit. Loading file "K12n386__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n386 geometric_solution 9.54212078 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 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 1 0 -1 -14 0 14 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.073357209902 0.977895498325 0 4 6 5 0132 0132 0132 0132 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 0 0 14 0 0 -14 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.077532031985 0.801482968974 0 0 8 7 3201 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 -1 0 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 0 0 0 0 0.510562050955 0.538801290616 9 5 4 0 0132 0132 3201 0132 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 0 0 15 0 -1 -14 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762524387877 0.597192073686 3 1 10 8 2310 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 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 1.693277949687 0.599509990334 9 3 1 10 2103 0132 0132 2310 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 14 -14 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.276074773020 1.278028356258 8 8 7 1 0321 0132 3201 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 0.783487667801 1.105488936152 6 10 2 9 2310 0132 0132 0213 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 1 -1 0 15 0 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187145112825 0.636609796874 6 6 4 2 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691708123010 0.485114601073 3 10 5 7 0132 0213 2103 0213 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 -15 0 0 15 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931429424752 0.567556817013 5 7 9 4 3201 0132 0213 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 0 0 0 0 0 0 14 -15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.161487488594 0.747571345786 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : 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_3']), 's_2_0' : negation(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' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_8' : d['c_1010_9'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1010_9'], 'c_1100_7' : d['c_1010_9'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_1010_9'], 'c_1100_10' : d['c_1010_9'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0101_7']), 's_3_1' : negation(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' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_0101_4'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0011_6']})} 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_6, c_0101_0, c_0101_3, c_0101_4, c_0101_7, c_1001_0, c_1001_1, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 33081903573/1495832*c_1010_9^12 - 1739623476/186979*c_1010_9^11 + 8059119333/1495832*c_1010_9^10 - 66322877/247*c_1010_9^9 - 115231033615/747916*c_1010_9^8 + 232144917003/747916*c_1010_9^7 + 32542126203/186979*c_1010_9^6 + 1115565490271/747916*c_1010_9^5 + 5555420408061/1495832*c_1010_9^4 + 3270511360429/747916*c_1010_9^3 + 4150765588795/1495832*c_1010_9^2 + 716640550227/747916*c_1010_9 + 114225446677/747916, c_0011_0 - 1, c_0011_10 - 1800451/28766*c_1010_9^12 - 765231/28766*c_1010_9^11 + 439661/28766*c_1010_9^10 - 28875/38*c_1010_9^9 - 6319300/14383*c_1010_9^8 + 12634120/14383*c_1010_9^7 + 14275391/28766*c_1010_9^6 + 121423467/28766*c_1010_9^5 + 302889587/28766*c_1010_9^4 + 357002655/28766*c_1010_9^3 + 113438134/14383*c_1010_9^2 + 39247614/14383*c_1010_9 + 6277827/14383, c_0011_3 + 2366491/28766*c_1010_9^12 + 1005701/28766*c_1010_9^11 - 578533/28766*c_1010_9^10 + 18976/19*c_1010_9^9 + 16610863/28766*c_1010_9^8 - 33219405/28766*c_1010_9^7 - 9386463/14383*c_1010_9^6 - 79794448/14383*c_1010_9^5 - 199041895/14383*c_1010_9^4 - 234598860/14383*c_1010_9^3 - 298062679/28766*c_1010_9^2 - 51483517/14383*c_1010_9 - 8211779/14383, c_0011_6 + 1108/19*c_1010_9^12 + 461/19*c_1010_9^11 - 270/19*c_1010_9^10 + 13455/19*c_1010_9^9 + 7655/19*c_1010_9^8 - 31121/38*c_1010_9^7 - 17251/38*c_1010_9^6 - 74730/19*c_1010_9^5 - 185741/19*c_1010_9^4 - 436665/38*c_1010_9^3 - 276805/38*c_1010_9^2 - 47769/19*c_1010_9 - 7630/19, c_0101_0 - c_1010_9, c_0101_3 + 1025101/28766*c_1010_9^12 + 446837/28766*c_1010_9^11 - 127013/14383*c_1010_9^10 + 8218/19*c_1010_9^9 + 7334781/28766*c_1010_9^8 - 7206667/14383*c_1010_9^7 - 8302953/28766*c_1010_9^6 - 34540564/14383*c_1010_9^5 - 86598496/14383*c_1010_9^4 - 204582145/28766*c_1010_9^3 - 130166647/28766*c_1010_9^2 - 22484000/14383*c_1010_9 - 3578141/14383, c_0101_4 + 1800451/28766*c_1010_9^12 + 765231/28766*c_1010_9^11 - 439661/28766*c_1010_9^10 + 28875/38*c_1010_9^9 + 6319300/14383*c_1010_9^8 - 12634120/14383*c_1010_9^7 - 14275391/28766*c_1010_9^6 - 121423467/28766*c_1010_9^5 - 302889587/28766*c_1010_9^4 - 357002655/28766*c_1010_9^3 - 113438134/14383*c_1010_9^2 - 39247614/14383*c_1010_9 - 6277827/14383, c_0101_7 - 1, c_1001_0 + 1108/19*c_1010_9^12 + 461/19*c_1010_9^11 - 270/19*c_1010_9^10 + 13455/19*c_1010_9^9 + 7655/19*c_1010_9^8 - 31121/38*c_1010_9^7 - 17251/38*c_1010_9^6 - 74730/19*c_1010_9^5 - 185741/19*c_1010_9^4 - 436665/38*c_1010_9^3 - 276805/38*c_1010_9^2 - 47769/19*c_1010_9 - 7630/19, c_1001_1 - 1565861/14383*c_1010_9^12 - 1331271/28766*c_1010_9^11 + 765231/28766*c_1010_9^10 - 50225/38*c_1010_9^9 - 21985733/28766*c_1010_9^8 + 21977910/14383*c_1010_9^7 + 12419656/14383*c_1010_9^6 + 211208593/28766*c_1010_9^5 + 526842987/28766*c_1010_9^4 + 620968403/28766*c_1010_9^3 + 394610625/28766*c_1010_9^2 + 68201742/14383*c_1010_9 + 10874321/14383, c_1010_9^13 + c_1010_9^12 + 12*c_1010_9^10 + 14*c_1010_9^9 - 10*c_1010_9^8 - 16*c_1010_9^7 - 72*c_1010_9^6 - 207*c_1010_9^5 - 295*c_1010_9^4 - 240*c_1010_9^3 - 116*c_1010_9^2 - 32*c_1010_9 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB