Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2648441058] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2962 geometric_solution 6.14719163 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 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 1 1 -2 1 0 0 -1 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414181413780 1.442574056589 0 3 5 4 0132 0132 0132 0132 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 -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 0.451330286540 0.739919350515 3 0 4 5 2310 0132 3201 3201 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 -1 1 0 1 0 -1 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 0.451330286540 0.739919350515 3 1 2 3 3201 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.092038424497 0.937291959044 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 -1 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 1 -1 0 0 -1 1 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986367939297 0.465760673152 5 2 5 1 2031 2310 1302 0132 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 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 0 0 0.881643398670 0.911448400926 4 4 6 6 3201 0132 2031 1302 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609195436810 0.194478935500 ==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' : 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' : negation(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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(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_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], '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_4'], '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 58188672211070/221593280233*c_0101_3*c_0110_6^12 - 163090070519876/221593280233*c_0101_3*c_0110_6^11 + 341773678602984/221593280233*c_0101_3*c_0110_6^10 - 1054419047836728/221593280233*c_0101_3*c_0110_6^9 + 1175197974448263/221593280233*c_0101_3*c_0110_6^8 - 437924427662681/221593280233*c_0101_3*c_0110_6^7 - 524681194329587/221593280233*c_0101_3*c_0110_6^6 + 426350208643756/221593280233*c_0101_3*c_0110_6^5 - 97326821946285/221593280233*c_0101_3*c_0110_6^4 + 103479074327049/221593280233*c_0101_3*c_0110_6^3 + 29923555729648/221593280233*c_0101_3*c_0110_6^2 - 3225595790306/221593280233*c_0101_3*c_0110_6 + 13693935710393/221593280233*c_0101_3, c_0011_0 - 1, c_0011_4 - 284080559745/17045636941*c_0101_3*c_0110_6^12 + 836574803116/17045636941*c_0101_3*c_0110_6^11 - 1781351126719/17045636941*c_0101_3*c_0110_6^10 + 5385782539228/17045636941*c_0101_3*c_0110_6^9 - 6469591271958/17045636941*c_0101_3*c_0110_6^8 + 2952513297823/17045636941*c_0101_3*c_0110_6^7 + 2243028791503/17045636941*c_0101_3*c_0110_6^6 - 2450222925326/17045636941*c_0101_3*c_0110_6^5 + 789335397526/17045636941*c_0101_3*c_0110_6^4 - 603926483161/17045636941*c_0101_3*c_0110_6^3 - 86190816897/17045636941*c_0101_3*c_0110_6^2 + 26179387933/17045636941*c_0101_3*c_0110_6 - 71620168395/17045636941*c_0101_3, c_0101_0 + 56541003930/17045636941*c_0110_6^12 - 159732534499/17045636941*c_0110_6^11 + 345857391746/17045636941*c_0110_6^10 - 1063557204081/17045636941*c_0110_6^9 + 1232265816810/17045636941*c_0110_6^8 - 656545908836/17045636941*c_0110_6^7 - 232851297019/17045636941*c_0110_6^6 + 277445861182/17045636941*c_0110_6^5 - 103348827252/17045636941*c_0110_6^4 + 132203881588/17045636941*c_0110_6^3 + 17751408514/17045636941*c_0110_6^2 + 37184364666/17045636941*c_0110_6 + 11049389247/17045636941, c_0101_1 - 45787142285/17045636941*c_0110_6^12 + 127630579598/17045636941*c_0110_6^11 - 276737516905/17045636941*c_0110_6^10 + 853561057672/17045636941*c_0110_6^9 - 969405858520/17045636941*c_0110_6^8 + 507678577910/17045636941*c_0110_6^7 + 216011767979/17045636941*c_0110_6^6 - 263903370918/17045636941*c_0110_6^5 + 161216636864/17045636941*c_0110_6^4 - 134702431325/17045636941*c_0110_6^3 - 56781712857/17045636941*c_0110_6^2 - 6575817879/17045636941*c_0110_6 - 13399623593/17045636941, c_0101_2 - 251290230095/17045636941*c_0101_3*c_0110_6^12 + 738699267781/17045636941*c_0101_3*c_0110_6^11 - 1572181212752/17045636941*c_0101_3*c_0110_6^10 + 4759374017330/17045636941*c_0101_3*c_0110_6^9 - 5704905118239/17045636941*c_0101_3*c_0110_6^8 + 2599459300270/17045636941*c_0101_3*c_0110_6^7 + 1950749721575/17045636941*c_0101_3*c_0110_6^6 - 2129262291858/17045636941*c_0101_3*c_0110_6^5 + 668257709634/17045636941*c_0101_3*c_0110_6^4 - 539762090573/17045636941*c_0101_3*c_0110_6^3 - 93559793704/17045636941*c_0101_3*c_0110_6^2 + 32008711207/17045636941*c_0101_3*c_0110_6 - 63302475221/17045636941*c_0101_3, c_0101_3^2 + 32825481690/17045636941*c_0110_6^12 - 104757276672/17045636941*c_0110_6^11 + 229503817217/17045636941*c_0110_6^10 - 672681085877/17045636941*c_0110_6^9 + 899236930068/17045636941*c_0110_6^8 - 521029713409/17045636941*c_0110_6^7 - 181549275223/17045636941*c_0110_6^6 + 361736708280/17045636941*c_0110_6^5 - 166264103813/17045636941*c_0110_6^4 + 95869863091/17045636941*c_0110_6^3 - 914872495/17045636941*c_0110_6^2 - 16905396795/17045636941*c_0110_6 - 1450526159/17045636941, c_0110_6^13 - 19/5*c_0110_6^12 + 44/5*c_0110_6^11 - 122/5*c_0110_6^10 + 196/5*c_0110_6^9 - 152/5*c_0110_6^8 + 11/5*c_0110_6^7 + 14*c_0110_6^6 - 47/5*c_0110_6^5 + 23/5*c_0110_6^4 - 9/5*c_0110_6^3 - 1/5*c_0110_6^2 + 1/5*c_0110_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB