Magma V2.19-8 Tue Aug 20 2013 16:17:20 on localhost [Seed = 3035965564] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1562 geometric_solution 5.34757296 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.717465781071 0.395841638344 0 2 2 0 0132 0132 1023 3201 0 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.873724784655 0.773102911239 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 0 0 0 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 -1 0 1 -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 0.377044846234 0.109838168705 2 5 6 4 0132 0132 0132 3201 0 0 0 0 0 0 0 0 -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 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 0.277995714151 1.344131899600 6 3 2 5 0132 2310 0132 2310 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 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 0.277995714151 1.344131899600 4 3 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 -1 0 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 -1 1 1 0 -1 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 0.373703465897 1.385145734061 4 6 6 3 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.300053124714 0.526521846837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_0' : d['1'], '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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : 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' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 52580004682376/27400513799*c_0101_5^16 - 438271640202456/27400513799*c_0101_5^15 - 1355170871960656/27400513799*c_0101_5^14 - 1549530946909932/27400513799*c_0101_5^13 + 1044600077141746/27400513799*c_0101_5^12 + 4476837806059850/27400513799*c_0101_5^11 + 6293044516590761/54801027598*c_0101_5^10 - 2313880698068106/27400513799*c_0101_5^9 - 4171190140854539/27400513799*c_0101_5^8 - 2929781849439025/109602055196*c_0101_5^7 + 6756387678574577/109602055196*c_0101_5^6 + 737990485816671/27400513799*c_0101_5^5 - 305106670055629/27400513799*c_0101_5^4 - 133909468916801/27400513799*c_0101_5^3 + 272630991173935/109602055196*c_0101_5^2 + 36845368481073/109602055196*c_0101_5 - 42060404699111/109602055196, c_0011_0 - 1, c_0011_4 + 387509488/65395021*c_0101_5^16 + 3008989884/65395021*c_0101_5^15 + 8378164308/65395021*c_0101_5^14 + 7501257240/65395021*c_0101_5^13 - 9442297504/65395021*c_0101_5^12 - 24981552491/65395021*c_0101_5^11 - 11295589192/65395021*c_0101_5^10 + 61785102181/261580084*c_0101_5^9 + 34270562027/130790042*c_0101_5^8 + 357285821/130790042*c_0101_5^7 - 23447064163/261580084*c_0101_5^6 - 1104176040/65395021*c_0101_5^5 + 2975301969/261580084*c_0101_5^4 - 315964882/65395021*c_0101_5^3 - 1130301763/261580084*c_0101_5^2 + 29358117/130790042*c_0101_5 + 91684883/261580084, c_0101_0 + 100910380/65395021*c_0101_5^16 + 1623611004/65395021*c_0101_5^15 + 8685017136/65395021*c_0101_5^14 + 20070481984/65395021*c_0101_5^13 + 14285438041/65395021*c_0101_5^12 - 24431615591/65395021*c_0101_5^11 - 210427237307/261580084*c_0101_5^10 - 18980781858/65395021*c_0101_5^9 + 64396060967/130790042*c_0101_5^8 + 29181397776/65395021*c_0101_5^7 - 13119170807/261580084*c_0101_5^6 - 39647098873/261580084*c_0101_5^5 - 240845365/130790042*c_0101_5^4 + 6252863423/261580084*c_0101_5^3 - 1877291319/261580084*c_0101_5^2 - 148725935/65395021*c_0101_5 + 183571213/261580084, c_0101_1 + 259497716/65395021*c_0101_5^16 + 2485447148/65395021*c_0101_5^15 + 8947941636/65395021*c_0101_5^14 + 12677720016/65395021*c_0101_5^13 - 4644953341/65395021*c_0101_5^12 - 36426799883/65395021*c_0101_5^11 - 133767571137/261580084*c_0101_5^10 + 32886008507/130790042*c_0101_5^9 + 177412310107/261580084*c_0101_5^8 + 56346699703/261580084*c_0101_5^7 - 68741504555/261580084*c_0101_5^6 - 43833650875/261580084*c_0101_5^5 + 4743441603/130790042*c_0101_5^4 + 1724467370/65395021*c_0101_5^3 - 1870599641/130790042*c_0101_5^2 - 393706297/261580084*c_0101_5 + 636459147/261580084, c_0101_2 + 26529072/1767433*c_0101_5^16 + 208094888/1767433*c_0101_5^15 + 577481608/1767433*c_0101_5^14 + 461164048/1767433*c_0101_5^13 - 888436276/1767433*c_0101_5^12 - 2055355234/1767433*c_0101_5^11 - 697100877/1767433*c_0101_5^10 + 3508588097/3534866*c_0101_5^9 + 1709190241/1767433*c_0101_5^8 - 235704741/1767433*c_0101_5^7 - 1763074047/3534866*c_0101_5^6 - 158535744/1767433*c_0101_5^5 + 359218645/3534866*c_0101_5^4 + 19001246/1767433*c_0101_5^3 - 63533355/3534866*c_0101_5^2 + 981337/1767433*c_0101_5 + 5594071/3534866, c_0101_3 - 826589808/65395021*c_0101_5^16 - 6562333608/65395021*c_0101_5^15 - 18750151888/65395021*c_0101_5^14 - 17280501180/65395021*c_0101_5^13 + 22433203732/65395021*c_0101_5^12 + 61452653398/65395021*c_0101_5^11 + 28077837563/65395021*c_0101_5^10 - 86702173939/130790042*c_0101_5^9 - 97747101425/130790042*c_0101_5^8 + 10172005841/261580084*c_0101_5^7 + 88267616937/261580084*c_0101_5^6 + 7475479307/130790042*c_0101_5^5 - 9432625339/130790042*c_0101_5^4 + 86715497/65395021*c_0101_5^3 + 4272381137/261580084*c_0101_5^2 - 679466433/261580084*c_0101_5 - 283682743/261580084, c_0101_5^17 + 8*c_0101_5^16 + 23*c_0101_5^15 + 21*c_0101_5^14 - 117/4*c_0101_5^13 - 78*c_0101_5^12 - 509/16*c_0101_5^11 + 1001/16*c_0101_5^10 + 511/8*c_0101_5^9 - 187/16*c_0101_5^8 - 143/4*c_0101_5^7 - 27/8*c_0101_5^6 + 161/16*c_0101_5^5 + 9/16*c_0101_5^4 - 33/16*c_0101_5^3 + 1/4*c_0101_5^2 + 1/4*c_0101_5 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB