Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 1259001731] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2309 geometric_solution 5.70596148 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 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 1 0 -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 1.062036371367 1.235602550340 0 4 5 2 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729010297677 0.611610618844 4 0 1 6 3201 0132 2031 0132 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 -1 0 1 0 0 0 0 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729010297677 0.611610618844 0 3 3 0 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.351348874379 0.273360922774 6 1 5 2 1023 0132 3201 2310 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 -2 2 -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 0.695456547933 0.265556690154 4 6 6 1 2310 3012 2031 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 -1 1 0 0 0 0 0 -1 1 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914277684538 1.102592016725 5 4 2 5 1230 1023 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.914277684538 1.102592016725 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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_6' : d['c_0101_5'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_0']), '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 207506743/9331049*c_0101_6^14 - 1384688637/9331049*c_0101_6^13 + 3347550764/9331049*c_0101_6^12 - 2178953124/9331049*c_0101_6^11 - 627972541/1333007*c_0101_6^10 + 7497597782/9331049*c_0101_6^9 + 853794908/9331049*c_0101_6^8 - 671718921/717773*c_0101_6^7 + 4866995811/9331049*c_0101_6^6 - 1401249761/9331049*c_0101_6^5 + 4759062558/9331049*c_0101_6^4 - 1970365132/9331049*c_0101_6^3 - 333170093/717773*c_0101_6^2 + 183231218/717773*c_0101_6 + 1097984179/9331049, c_0011_0 - 1, c_0011_3 + 25488/102539*c_0101_6^14 - 157959/102539*c_0101_6^13 + 367125/102539*c_0101_6^12 - 284721/102539*c_0101_6^11 - 286607/102539*c_0101_6^10 + 722864/102539*c_0101_6^9 - 318378/102539*c_0101_6^8 - 543770/102539*c_0101_6^7 + 898292/102539*c_0101_6^6 - 659540/102539*c_0101_6^5 + 439936/102539*c_0101_6^4 - 260086/102539*c_0101_6^3 - 170978/102539*c_0101_6^2 + 403915/102539*c_0101_6 - 202876/102539, c_0101_0 - 33930/102539*c_0101_6^14 + 230481/102539*c_0101_6^13 - 589306/102539*c_0101_6^12 + 499595/102539*c_0101_6^11 + 553520/102539*c_0101_6^10 - 1355643/102539*c_0101_6^9 + 286097/102539*c_0101_6^8 + 1320136/102539*c_0101_6^7 - 1190316/102539*c_0101_6^6 + 524896/102539*c_0101_6^5 - 890949/102539*c_0101_6^4 + 601564/102539*c_0101_6^3 + 646599/102539*c_0101_6^2 - 657254/102539*c_0101_6 + 2717/102539, c_0101_1 + 19764/102539*c_0101_6^14 - 110754/102539*c_0101_6^13 + 179966/102539*c_0101_6^12 + 123769/102539*c_0101_6^11 - 644998/102539*c_0101_6^10 + 351972/102539*c_0101_6^9 + 715077/102539*c_0101_6^8 - 803132/102539*c_0101_6^7 - 160252/102539*c_0101_6^6 + 275868/102539*c_0101_6^5 + 61327/102539*c_0101_6^4 + 452661/102539*c_0101_6^3 - 590530/102539*c_0101_6^2 - 70447/102539*c_0101_6 + 223296/102539, c_0101_2 + 23587/102539*c_0101_6^14 - 145345/102539*c_0101_6^13 + 333576/102539*c_0101_6^12 - 241242/102539*c_0101_6^11 - 282582/102539*c_0101_6^10 + 581988/102539*c_0101_6^9 - 103868/102539*c_0101_6^8 - 497380/102539*c_0101_6^7 + 562861/102539*c_0101_6^6 - 493697/102539*c_0101_6^5 + 536955/102539*c_0101_6^4 - 345198/102539*c_0101_6^3 - 81233/102539*c_0101_6^2 + 248130/102539*c_0101_6 - 58187/102539, c_0101_5 + 23587/102539*c_0101_6^14 - 145345/102539*c_0101_6^13 + 333576/102539*c_0101_6^12 - 241242/102539*c_0101_6^11 - 282582/102539*c_0101_6^10 + 581988/102539*c_0101_6^9 - 103868/102539*c_0101_6^8 - 497380/102539*c_0101_6^7 + 562861/102539*c_0101_6^6 - 493697/102539*c_0101_6^5 + 536955/102539*c_0101_6^4 - 345198/102539*c_0101_6^3 - 81233/102539*c_0101_6^2 + 248130/102539*c_0101_6 - 58187/102539, c_0101_6^15 - 8*c_0101_6^14 + 25*c_0101_6^13 - 32*c_0101_6^12 - 7*c_0101_6^11 + 64*c_0101_6^10 - 44*c_0101_6^9 - 47*c_0101_6^8 + 79*c_0101_6^7 - 38*c_0101_6^6 + 32*c_0101_6^5 - 40*c_0101_6^4 - 8*c_0101_6^3 + 39*c_0101_6^2 - 10*c_0101_6 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB