Magma V2.19-8 Tue Aug 20 2013 16:16:06 on localhost [Seed = 4299981] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0353 geometric_solution 4.37662570 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 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 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 3.369601803932 1.584075687606 0 1 1 0 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.505781104926 0.112956198028 0 3 3 0 3201 0132 3201 0132 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 1 0 -1 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 -0.072050783016 0.404587312954 2 2 4 5 2310 0132 0132 0132 0 0 0 0 0 0 -1 1 -1 0 0 1 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 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 -1.117151583261 1.131826474406 5 5 6 3 1230 1023 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 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 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 0.232649883086 1.215797193721 4 4 3 6 1023 3012 0132 0132 0 0 0 0 0 1 -1 0 1 0 -1 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 1 -1 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 0.232649883086 1.215797193721 6 6 5 4 1230 3012 0132 0132 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 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 0.160084090679 0.377862357473 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1100_3'], 'c_1100_5' : d['c_1100_3'], 'c_1100_4' : d['c_1100_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_1100_3'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_1']), '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' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), '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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_1100_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3920982589541/10039361103961*c_1100_3^11 + 8743256156420/10039361103961*c_1100_3^10 - 28730212689939/10039361103961*c_1100_3^9 - 73597512047274/10039361103961*c_1100_3^8 + 50416836201250/10039361103961*c_1100_3^7 + 150439049887782/10039361103961*c_1100_3^6 + 295859697199320/10039361103961*c_1100_3^5 - 190803246759681/10039361103961*c_1100_3^4 - 181750015166866/1434194443423*c_1100_3^3 + 1126695873359883/10039361103961*c_1100_3^2 + 428726378784107/10039361103961*c_1100_3 - 652536586941375/10039361103961, c_0011_0 - 1, c_0011_2 - 15822737/3472625771*c_1100_3^11 - 65430003/3472625771*c_1100_3^10 + 14970363/3472625771*c_1100_3^9 + 368654640/3472625771*c_1100_3^8 + 368895955/3472625771*c_1100_3^7 - 71215951/3472625771*c_1100_3^6 - 1073513306/3472625771*c_1100_3^5 - 1791538384/3472625771*c_1100_3^4 + 2493635719/3472625771*c_1100_3^3 - 598090503/3472625771*c_1100_3^2 - 3015709263/3472625771*c_1100_3 + 3837463400/3472625771, c_0011_4 + 26062665983/614654761467*c_1100_3^11 + 34126753312/204884920489*c_1100_3^10 - 12637142447/614654761467*c_1100_3^9 - 161717093339/204884920489*c_1100_3^8 - 469427702074/614654761467*c_1100_3^7 + 30768445714/204884920489*c_1100_3^6 + 1945922771237/614654761467*c_1100_3^5 + 2052964685063/614654761467*c_1100_3^4 - 4647052111556/614654761467*c_1100_3^3 + 206002281931/614654761467*c_1100_3^2 + 2429112188662/614654761467*c_1100_3 - 866557655059/614654761467, c_0011_6 - 29241903167/614654761467*c_1100_3^11 - 36977667827/204884920489*c_1100_3^10 + 27477773645/614654761467*c_1100_3^9 + 181614871718/204884920489*c_1100_3^8 + 507233718829/614654761467*c_1100_3^7 - 25957202509/204884920489*c_1100_3^6 - 2226616947368/614654761467*c_1100_3^5 - 2278139781662/614654761467*c_1100_3^4 + 5025698122202/614654761467*c_1100_3^3 - 1206004487152/614654761467*c_1100_3^2 - 2007538616170/614654761467*c_1100_3 + 925370768488/614654761467, c_0101_0 + 4740891196/614654761467*c_1100_3^11 - 339324422/204884920489*c_1100_3^10 - 90607216585/614654761467*c_1100_3^9 - 43270732698/204884920489*c_1100_3^8 + 266626049239/614654761467*c_1100_3^7 + 203847299642/204884920489*c_1100_3^6 + 629549349034/614654761467*c_1100_3^5 - 1025154895868/614654761467*c_1100_3^4 - 3259269526549/614654761467*c_1100_3^3 + 2038095923138/614654761467*c_1100_3^2 + 1779878123834/614654761467*c_1100_3 - 1346792626445/614654761467, c_0101_1 - 5253992233/614654761467*c_1100_3^11 - 10609919751/204884920489*c_1100_3^10 - 50552505017/614654761467*c_1100_3^9 + 22384763691/204884920489*c_1100_3^8 + 298692775316/614654761467*c_1100_3^7 + 114263038601/204884920489*c_1100_3^6 - 207093987028/614654761467*c_1100_3^5 - 1177581334204/614654761467*c_1100_3^4 - 650088095273/614654761467*c_1100_3^3 + 1128930023971/614654761467*c_1100_3^2 + 424702028887/614654761467*c_1100_3 - 590568808279/614654761467, c_1100_3^12 + 3*c_1100_3^11 - 4*c_1100_3^10 - 18*c_1100_3^9 - 2*c_1100_3^8 + 18*c_1100_3^7 + 73*c_1100_3^6 + 13*c_1100_3^5 - 238*c_1100_3^4 + 173*c_1100_3^3 + 53*c_1100_3^2 - 92*c_1100_3 + 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB