Magma V2.19-8 Wed Aug 21 2013 01:10:32 on localhost [Seed = 2496826733] Type ? for help. Type -D to quit. Loading file "L14n53542__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n53542 geometric_solution 12.31251682 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 1 2 1 0 0 -1 1 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 -1 7 -6 0 0 1 -1 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817327193192 1.107027538477 0 3 6 5 0132 0213 0132 0132 2 1 1 2 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 -7 7 0 0 0 0 0 2 -2 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264649457457 0.529484868744 6 0 8 7 0132 0132 0132 0132 2 1 1 2 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.805437101242 0.880691743786 9 10 1 0 0132 0132 0213 0132 2 1 1 2 0 0 -1 1 1 0 -1 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 -1 0 2 -1 0 1 0 -1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264649457457 0.529484868744 8 7 0 10 0132 0132 0132 0132 2 1 1 2 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 6 -6 -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 0.805437101242 0.880691743786 9 11 1 11 2103 0132 0132 1230 2 1 0 1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253160728585 1.237247731189 2 12 10 1 0132 0132 2103 0132 2 1 2 1 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 7 -7 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 0.192327193845 0.685319308785 8 4 2 8 2103 0132 0132 0321 2 1 2 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 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935124495720 0.710500896576 4 7 7 2 0132 0321 2103 0132 2 1 2 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 -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 0.935124495720 0.710500896576 3 12 5 12 0132 1302 2103 1230 0 1 2 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 0 0 0 0 0 0 1 -1 1 0 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.253160728585 1.237247731189 6 3 4 11 2103 0132 0132 0213 2 1 2 1 0 0 -1 1 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 6 -6 0 0 0 0 -7 7 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192327193845 0.685319308785 5 5 12 10 3012 0132 0321 0213 2 2 1 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 -6 6 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 0.357587306513 0.592395312645 9 6 11 9 3012 0132 0321 2031 2 0 1 2 0 0 -1 1 -1 0 1 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 6 -6 1 0 -1 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 0.841265831668 0.775766015244 ==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_0'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0101_11']), '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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : d['c_1001_5'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_1001_5'], 'c_1100_3' : d['c_1001_5'], 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : d['c_1001_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0101_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' : 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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0110_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0101_1'], '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_10'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0110_10, c_1001_0, c_1001_1, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1423996309117/359630340608*c_1001_2^8 + 699844986341/44953792576*c_1001_2^7 + 12365056769053/179815170304*c_1001_2^6 - 208683904969657/179815170304*c_1001_2^5 + 1788802735177281/359630340608*c_1001_2^4 - 272220558476103/25687881472*c_1001_2^3 + 416055035846763/32693667328*c_1001_2^2 - 108563702804539/12843940736*c_1001_2 + 27031354082331/11238448144, c_0011_0 - 1, c_0011_10 - 896301851/5619224072*c_1001_2^8 - 1099766879/1404806018*c_1001_2^7 - 10079854409/2809612036*c_1001_2^6 + 120698999699/2809612036*c_1001_2^5 - 897807887359/5619224072*c_1001_2^4 + 114219867697/401373148*c_1001_2^3 - 143480140753/510838552*c_1001_2^2 + 27702583785/200686574*c_1001_2 - 15800649377/702403009, c_0011_11 + 1, c_0011_4 - 337597333/11238448144*c_1001_2^8 - 435497243/2809612036*c_1001_2^7 - 4047491509/5619224072*c_1001_2^6 + 44276964657/5619224072*c_1001_2^5 - 317382310009/11238448144*c_1001_2^4 + 38473187717/802746296*c_1001_2^3 - 46924070251/1021677104*c_1001_2^2 + 4514961901/200686574*c_1001_2 - 2946153293/702403009, c_0101_0 - 1, c_0101_1 + 231821/11981288*c_1001_2^8 + 266447/2995322*c_1001_2^7 + 2428663/5990644*c_1001_2^6 - 32026337/5990644*c_1001_2^5 + 251656433/11981288*c_1001_2^4 - 241954637/5990644*c_1001_2^3 + 48240175/1089208*c_1001_2^2 - 76624655/2995322*c_1001_2 + 8060669/1497661, c_0101_10 - 560937571/22476896288*c_1001_2^8 - 1459472475/11238448144*c_1001_2^7 - 6790427111/11238448144*c_1001_2^6 + 73240964777/11238448144*c_1001_2^5 - 521259417267/22476896288*c_1001_2^4 + 15569887423/401373148*c_1001_2^3 - 73664151849/2043354208*c_1001_2^2 + 24666652061/1605492592*c_1001_2 - 2334451829/1404806018, c_0101_11 + 896301851/5619224072*c_1001_2^8 + 1099766879/1404806018*c_1001_2^7 + 10079854409/2809612036*c_1001_2^6 - 120698999699/2809612036*c_1001_2^5 + 897807887359/5619224072*c_1001_2^4 - 114219867697/401373148*c_1001_2^3 + 143480140753/510838552*c_1001_2^2 - 27702583785/200686574*c_1001_2 + 15098246368/702403009, c_0110_10 - 896301851/5619224072*c_1001_2^8 - 1099766879/1404806018*c_1001_2^7 - 10079854409/2809612036*c_1001_2^6 + 120698999699/2809612036*c_1001_2^5 - 897807887359/5619224072*c_1001_2^4 + 114219867697/401373148*c_1001_2^3 - 143480140753/510838552*c_1001_2^2 + 27702583785/200686574*c_1001_2 - 15800649377/702403009, c_1001_0 + 231821/11981288*c_1001_2^8 + 266447/2995322*c_1001_2^7 + 2428663/5990644*c_1001_2^6 - 32026337/5990644*c_1001_2^5 + 251656433/11981288*c_1001_2^4 - 241954637/5990644*c_1001_2^3 + 48240175/1089208*c_1001_2^2 - 76624655/2995322*c_1001_2 + 8060669/1497661, c_1001_1 + 35798991/255419276*c_1001_2^8 + 44309238/63854819*c_1001_2^7 + 406400521/127709638*c_1001_2^6 - 4803574893/127709638*c_1001_2^5 + 35444591831/255419276*c_1001_2^4 - 4454950319/18244234*c_1001_2^3 + 60427749339/255419276*c_1001_2^2 - 1025851450/9122117*c_1001_2 + 1092745056/63854819, c_1001_2^9 + 4*c_1001_2^8 + 18*c_1001_2^7 - 290*c_1001_2^6 + 1245*c_1001_2^5 - 2686*c_1001_2^4 + 3365*c_1001_2^3 - 2456*c_1001_2^2 + 928*c_1001_2 - 128, c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB