Magma V2.19-8 Wed Aug 21 2013 00:04:52 on localhost [Seed = 1562063664] Type ? for help. Type -D to quit. Loading file "K13n2013__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2013 geometric_solution 11.55099629 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 0132 0132 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 -1 0 1 0 0 7 -7 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123591071101 1.402935951064 0 4 0 3 0132 0132 2310 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.652212870812 0.434253243377 3 4 5 0 3120 2031 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 6 0 1 -7 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285477666298 0.273048544697 1 6 0 2 3120 0132 0132 3120 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 -1 1 -1 0 7 -6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471378200290 0.968682707687 2 1 7 8 1302 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527357725603 0.449837227654 9 8 10 2 0132 3012 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 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 1.114880239253 0.811737333731 11 3 12 8 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306153118588 0.714328330557 12 11 12 4 1023 3120 1302 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 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.077871679158 0.643292605136 5 6 4 10 1230 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.410250764170 1.718822491329 5 11 10 11 0132 2310 3120 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 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.140519058562 0.921240258865 8 12 9 5 3201 0213 3120 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 0.965709388784 1.195487538572 6 7 9 9 0132 3120 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 1 0 -1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541442458433 0.580348634297 7 7 10 6 2031 1023 0213 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 0.829076505266 1.207735836819 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_0011_2']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_8']), '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_5']), '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' : 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' : negation(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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_5'], 'c_1100_11' : d['c_0011_5'], 'c_1100_10' : negation(d['c_0101_2']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : negation(d['c_0101_8']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_0011_8']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_12'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_12']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_11']})} 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_12, c_0011_2, c_0011_5, c_0011_8, c_0101_0, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t + 107183989233/86861840*c_1001_1^20 + 16150094797/6681680*c_1001_1^19 + 711819146219/86861840*c_1001_1^18 + 914271049203/86861840*c_1001_1^17 + 897317601209/43430920*c_1001_1^16 + 25388646682/1085773*c_1001_1^15 + 2868801718969/86861840*c_1001_1^14 + 184736859169/5109520*c_1001_1^13 + 3010807569923/86861840*c_1001_1^12 + 624816382929/17372368*c_1001_1^11 + 2200454914883/86861840*c_1001_1^10 + 131221859727/6681680*c_1001_1^9 + 19856744951/2554760*c_1001_1^8 - 319733458651/43430920*c_1001_1^7 - 219927272803/43430920*c_1001_1^6 - 104940434071/10857730*c_1001_1^5 - 556295791899/86861840*c_1001_1^4 - 483184191501/86861840*c_1001_1^3 - 580264582477/86861840*c_1001_1^2 + 12973042527/6681680*c_1001_1 + 142980789637/43430920, c_0011_0 - 1, c_0011_10 + c_1001_1^7 + 2*c_1001_1^5 + 2*c_1001_1^3, c_0011_11 - c_1001_1^2 - 1, c_0011_12 + 1/2*c_1001_1^20 + 1/2*c_1001_1^19 + 3*c_1001_1^18 + 5/2*c_1001_1^17 + 17/2*c_1001_1^16 + 8*c_1001_1^15 + 31/2*c_1001_1^14 + 35/2*c_1001_1^13 + 20*c_1001_1^12 + 53/2*c_1001_1^11 + 21*c_1001_1^10 + 51/2*c_1001_1^9 + 37/2*c_1001_1^8 + 14*c_1001_1^7 + 13*c_1001_1^6 + 3*c_1001_1^5 + 7/2*c_1001_1^4 - 1/2*c_1001_1^3 - 2*c_1001_1^2 - 1/2*c_1001_1 - 3/2, c_0011_2 - c_1001_1^4 - c_1001_1^2 - 1, c_0011_5 + 1/2*c_1001_1^20 + 3/2*c_1001_1^19 + 5*c_1001_1^18 + 17/2*c_1001_1^17 + 35/2*c_1001_1^16 + 23*c_1001_1^15 + 75/2*c_1001_1^14 + 85/2*c_1001_1^13 + 55*c_1001_1^12 + 113/2*c_1001_1^11 + 58*c_1001_1^10 + 111/2*c_1001_1^9 + 85/2*c_1001_1^8 + 33*c_1001_1^7 + 19*c_1001_1^6 + 9*c_1001_1^5 + 9/2*c_1001_1^4 - 7/2*c_1001_1^3 - 3*c_1001_1^2 - 5/2*c_1001_1 - 3/2, c_0011_8 - 3/2*c_1001_1^20 - 9/2*c_1001_1^19 - 14*c_1001_1^18 - 51/2*c_1001_1^17 - 95/2*c_1001_1^16 - 69*c_1001_1^15 - 201/2*c_1001_1^14 - 253/2*c_1001_1^13 - 150*c_1001_1^12 - 331/2*c_1001_1^11 - 165*c_1001_1^10 - 319/2*c_1001_1^9 - 257/2*c_1001_1^8 - 96*c_1001_1^7 - 61*c_1001_1^6 - 31*c_1001_1^5 - 31/2*c_1001_1^4 + 9/2*c_1001_1^3 + 9*c_1001_1^2 + 13/2*c_1001_1 + 9/2, c_0101_0 - c_1001_1, c_0101_11 - 1/2*c_1001_1^20 - 1/2*c_1001_1^19 - 3*c_1001_1^18 - 5/2*c_1001_1^17 - 17/2*c_1001_1^16 - 8*c_1001_1^15 - 31/2*c_1001_1^14 - 35/2*c_1001_1^13 - 20*c_1001_1^12 - 53/2*c_1001_1^11 - 21*c_1001_1^10 - 51/2*c_1001_1^9 - 37/2*c_1001_1^8 - 14*c_1001_1^7 - 13*c_1001_1^6 - 3*c_1001_1^5 - 7/2*c_1001_1^4 + 1/2*c_1001_1^3 + 2*c_1001_1^2 + 1/2*c_1001_1 + 3/2, c_0101_2 + c_1001_1^2 + 1, c_0101_6 - 1/2*c_1001_1^20 - 3/2*c_1001_1^19 - 5*c_1001_1^18 - 17/2*c_1001_1^17 - 35/2*c_1001_1^16 - 23*c_1001_1^15 - 75/2*c_1001_1^14 - 85/2*c_1001_1^13 - 55*c_1001_1^12 - 113/2*c_1001_1^11 - 58*c_1001_1^10 - 111/2*c_1001_1^9 - 85/2*c_1001_1^8 - 33*c_1001_1^7 - 19*c_1001_1^6 - 9*c_1001_1^5 - 9/2*c_1001_1^4 + 7/2*c_1001_1^3 + 3*c_1001_1^2 + 5/2*c_1001_1 + 3/2, c_0101_8 - c_1001_1^5 - 2*c_1001_1^3 - c_1001_1, c_1001_1^21 + 3*c_1001_1^20 + 10*c_1001_1^19 + 19*c_1001_1^18 + 37*c_1001_1^17 + 56*c_1001_1^16 + 83*c_1001_1^15 + 109*c_1001_1^14 + 132*c_1001_1^13 + 151*c_1001_1^12 + 156*c_1001_1^11 + 153*c_1001_1^10 + 135*c_1001_1^9 + 104*c_1001_1^8 + 74*c_1001_1^7 + 42*c_1001_1^6 + 21*c_1001_1^5 + 5*c_1001_1^4 - 6*c_1001_1^3 - 7*c_1001_1^2 - 5*c_1001_1 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 14.130 Total time: 14.330 seconds, Total memory usage: 88.56MB