Magma V2.19-8 Tue Aug 20 2013 16:14:33 on localhost [Seed = 2564359317] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s534 geometric_solution 4.94517196 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 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 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 -0.115668040917 0.932191332950 0 1 2 1 0132 1302 3201 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618340575885 0.767571321226 1 0 3 4 2310 0132 1023 1023 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 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 -0.115668040917 0.932191332950 5 5 2 0 0132 3201 1023 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 -1 0 1 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 -0.242611102586 0.464978044319 4 4 0 2 1230 3012 0132 1023 0 0 0 0 0 -1 1 0 1 0 0 -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 1 -1 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 1.437519907249 1.613403890818 3 5 3 5 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.061054610191 2.088711053901 ==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_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : 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_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_0']), '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_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1803629235370/103026502222617*c_1100_0^9 - 17786536958769/171710837037695*c_1100_0^8 - 21415219300946/171710837037695*c_1100_0^7 + 180831078830207/515132511113085*c_1100_0^6 + 302108685808792/171710837037695*c_1100_0^5 - 730259402159617/515132511113085*c_1100_0^4 + 1116802199999773/515132511113085*c_1100_0^3 - 5098409368362382/515132511113085*c_1100_0^2 + 4118316087113129/515132511113085*c_1100_0 + 244430998728406/515132511113085, c_0011_0 - 1, c_0011_3 - 9433390402058/515132511113085*c_1100_0^9 - 73372934528527/515132511113085*c_1100_0^8 - 197084043172832/515132511113085*c_1100_0^7 - 137135249934356/515132511113085*c_1100_0^6 + 740969069368907/515132511113085*c_1100_0^5 + 150518897939029/171710837037695*c_1100_0^4 + 1229950981205857/515132511113085*c_1100_0^3 - 2681021281393499/515132511113085*c_1100_0^2 - 1225924632370361/515132511113085*c_1100_0 + 75093299702264/34342167407539, c_0011_4 + 10539931725758/515132511113085*c_1100_0^9 + 77221638391147/515132511113085*c_1100_0^8 + 186591923425967/515132511113085*c_1100_0^7 + 81460548386681/515132511113085*c_1100_0^6 - 810879673504202/515132511113085*c_1100_0^5 + 559357329181/171710837037695*c_1100_0^4 - 1177558668831922/515132511113085*c_1100_0^3 + 3691121631042869/515132511113085*c_1100_0^2 - 512076485572594/515132511113085*c_1100_0 - 95785761154156/34342167407539, c_0101_0 - 18848870169902/515132511113085*c_1100_0^9 - 138331612335073/515132511113085*c_1100_0^8 - 331404532684748/515132511113085*c_1100_0^7 - 116833311839039/515132511113085*c_1100_0^6 + 1562217481212953/515132511113085*c_1100_0^5 + 80829051130581/171710837037695*c_1100_0^4 + 2219307965715268/515132511113085*c_1100_0^3 - 6479879071711616/515132511113085*c_1100_0^2 - 422453288623079/515132511113085*c_1100_0 + 195296218296979/34342167407539, c_0101_1 - 8353024304638/515132511113085*c_1100_0^9 - 64905925477157/515132511113085*c_1100_0^8 - 177556420266862/515132511113085*c_1100_0^7 - 148073104537321/515132511113085*c_1100_0^6 + 581425220352982/515132511113085*c_1100_0^5 + 111415065659269/171710837037695*c_1100_0^4 + 1332678328817777/515132511113085*c_1100_0^3 - 2201513215851649/515132511113085*c_1100_0^2 - 633212308720786/515132511113085*c_1100_0 + 33082525710056/34342167407539, c_1100_0^10 + 13/2*c_1100_0^9 + 23/2*c_1100_0^8 - 8*c_1100_0^7 - 173/2*c_1100_0^6 + 117/2*c_1100_0^5 - 223/2*c_1100_0^4 + 881/2*c_1100_0^3 - 571/2*c_1100_0^2 - 285/2*c_1100_0 + 225/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB