Magma V2.19-8 Tue Aug 20 2013 16:08:54 on localhost [Seed = 3953816926] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m112 geometric_solution 3.55140387 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 2 2 0132 0132 2031 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 -1 1 0 0 0 1 -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 0.985944714418 1.038622587940 0 2 3 3 0132 1230 2310 0132 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 0.013131790325 0.525934133750 0 0 1 0 3120 0132 3012 1302 0 0 0 0 0 0 1 -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 1 0 -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 0.013027006253 0.962637355779 4 1 1 4 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 -0.379469600178 0.558977281442 3 4 4 3 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.999371462292 0.408374923137 ==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_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_4' : 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_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : negation(d['c_0011_3']), '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_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 494287402630/7025245893*c_0101_4^9 - 59156418506/780582877*c_0101_4^8 + 5395923215792/7025245893*c_0101_4^7 + 19692969710512/7025245893*c_0101_4^6 + 4131590794951/2341748631*c_0101_4^5 - 88500972776902/7025245893*c_0101_4^4 - 36541525518095/2341748631*c_0101_4^3 + 15740300001658/7025245893*c_0101_4^2 + 19924339430380/7025245893*c_0101_4 - 6417029635448/7025245893, c_0011_0 - 1, c_0011_3 + 145677928/2341748631*c_0101_4^9 + 31550970/780582877*c_0101_4^8 - 1617576407/2341748631*c_0101_4^7 - 5144991601/2341748631*c_0101_4^6 - 531471145/780582877*c_0101_4^5 + 26708243395/2341748631*c_0101_4^4 + 7278129804/780582877*c_0101_4^3 - 12118856572/2341748631*c_0101_4^2 - 4307002717/2341748631*c_0101_4 + 770799764/2341748631, c_0101_0 - 71439862/2341748631*c_0101_4^9 - 23734825/780582877*c_0101_4^8 + 759336035/2341748631*c_0101_4^7 + 2749532416/2341748631*c_0101_4^6 + 610678440/780582877*c_0101_4^5 - 11786211067/2341748631*c_0101_4^4 - 4647332520/780582877*c_0101_4^3 - 545328485/2341748631*c_0101_4^2 - 3212395427/2341748631*c_0101_4 - 323156927/2341748631, c_0101_1 + 237606014/2341748631*c_0101_4^9 + 86109875/780582877*c_0101_4^8 - 2547696361/2341748631*c_0101_4^7 - 9474040667/2341748631*c_0101_4^6 - 2182163534/780582877*c_0101_4^5 + 41031050642/2341748631*c_0101_4^4 + 17625380276/780582877*c_0101_4^3 + 1411177447/2341748631*c_0101_4^2 - 4313181812/2341748631*c_0101_4 + 1403002567/2341748631, c_0101_4^10 + c_0101_4^9 - 11*c_0101_4^8 - 39*c_0101_4^7 - 22*c_0101_4^6 + 181*c_0101_4^5 + 208*c_0101_4^4 - 49*c_0101_4^3 - 38*c_0101_4^2 + 16*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB