Magma V2.19-8 Tue Aug 20 2013 16:14:19 on localhost [Seed = 206409768] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s304 geometric_solution 4.46951624 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 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 1 -1 0 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.899573740791 0.483085223914 0 2 3 0 0132 0132 0132 3201 0 0 0 0 0 -1 0 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 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.453478254612 0.929264556834 4 1 3 3 0132 0132 1302 2031 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 0 -1 0 0 1 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.338376269726 0.397876281780 2 2 4 1 2031 1302 2310 0132 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 1 0 -1 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 0.338376269726 0.397876281780 2 3 5 5 0132 3201 3201 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 -0.835049704633 1.536990449449 4 5 4 5 2310 1302 0132 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 -0.195287910104 0.904965048471 ==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' : negation(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_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 93586369604023733869817/4417845912892853300894*c_0101_4^13 - 704932945987769195554787/8835691825785706601788*c_0101_4^12 - 1933782327605206459150571/8835691825785706601788*c_0101_4^11 + 969988457735415285380621/2208922956446426650447*c_0101_4^10 + 10374517694349731593738183/8835691825785706601788*c_0101_4^9 - 1923619817445512683015283/2208922956446426650447*c_0101_4^8 - 21035743166577235999481841/8835691825785706601788*c_0101_4^7 + 11281382324986236827118975/8835691825785706601788*c_0101_4^6 + 26421434000774128248012215/8835691825785706601788*c_0101_4^5 - 7532132502748612142661633/8835691825785706601788*c_0101_4^4 - 23458571823858322466138495/8835691825785706601788*c_0101_4^3 - 449346242103216045111969/2208922956446426650447*c_0101_4^2 + 9400834525905315271309343/8835691825785706601788*c_0101_4 + 1271075435021709033565057/4417845912892853300894, c_0011_0 - 1, c_0011_3 - 1431217061462022608103/2208922956446426650447*c_0101_4^13 + 5594675104492317689686/2208922956446426650447*c_0101_4^12 + 12653783675009868513390/2208922956446426650447*c_0101_4^11 - 26323267740451699775415/2208922956446426650447*c_0101_4^10 - 63589830326580919610913/2208922956446426650447*c_0101_4^9 + 44128881406321655590580/2208922956446426650447*c_0101_4^8 + 94743769118623590114592/2208922956446426650447*c_0101_4^7 - 62238616108269392963655/2208922956446426650447*c_0101_4^6 - 105927813404425748648397/2208922956446426650447*c_0101_4^5 + 19604484190180481372692/2208922956446426650447*c_0101_4^4 + 79650668764616766887503/2208922956446426650447*c_0101_4^3 + 13690225385390374250702/2208922956446426650447*c_0101_4^2 - 4443942994376351903860/2208922956446426650447*c_0101_4 - 1538992692409804858937/2208922956446426650447, c_0011_5 + 1130948335076460219935/2208922956446426650447*c_0101_4^13 - 4448468079018035038438/2208922956446426650447*c_0101_4^12 - 9891777539557855695786/2208922956446426650447*c_0101_4^11 + 21099160782795684366469/2208922956446426650447*c_0101_4^10 + 49502412421502430271675/2208922956446426650447*c_0101_4^9 - 36359912259234967420746/2208922956446426650447*c_0101_4^8 - 73055356798212357637750/2208922956446426650447*c_0101_4^7 + 52256874308069002625218/2208922956446426650447*c_0101_4^6 + 80624171741795886237023/2208922956446426650447*c_0101_4^5 - 17384323487794283157776/2208922956446426650447*c_0101_4^4 - 60495367962095483740768/2208922956446426650447*c_0101_4^3 - 11659010872450183191731/2208922956446426650447*c_0101_4^2 + 3322875815694021562496/2208922956446426650447*c_0101_4 + 819025136318363011311/2208922956446426650447, c_0101_0 - 10673764189259211204197/8835691825785706601788*c_0101_4^13 + 47472833953290127307537/8835691825785706601788*c_0101_4^12 + 35631458194596751806409/4417845912892853300894*c_0101_4^11 - 245194680984479588834705/8835691825785706601788*c_0101_4^10 - 180027570759337753794017/4417845912892853300894*c_0101_4^9 + 573885629077957554211533/8835691825785706601788*c_0101_4^8 + 488437487263178077765317/8835691825785706601788*c_0101_4^7 - 831844633358957195104843/8835691825785706601788*c_0101_4^6 - 466374280828653788898659/8835691825785706601788*c_0101_4^5 + 537642001067369070662409/8835691825785706601788*c_0101_4^4 + 219805567167361615585959/4417845912892853300894*c_0101_4^3 - 194049357387945120906885/8835691825785706601788*c_0101_4^2 - 21017453795926330534499/4417845912892853300894*c_0101_4 + 3824835853928861023258/2208922956446426650447, c_0101_1 + 3959821558502930161943/8835691825785706601788*c_0101_4^13 - 17878065330880959409417/8835691825785706601788*c_0101_4^12 - 6545963696160096508443/2208922956446426650447*c_0101_4^11 + 96587125093862504949671/8835691825785706601788*c_0101_4^10 + 33662825423267968390173/2208922956446426650447*c_0101_4^9 - 239916977711314362941147/8835691825785706601788*c_0101_4^8 - 202788138716155633338137/8835691825785706601788*c_0101_4^7 + 354946446380454643611183/8835691825785706601788*c_0101_4^6 + 199399780875055930602907/8835691825785706601788*c_0101_4^5 - 259129195173247195091317/8835691825785706601788*c_0101_4^4 - 50817970738558522929671/2208922956446426650447*c_0101_4^3 + 103010702034729608395747/8835691825785706601788*c_0101_4^2 + 13399067654853707557419/2208922956446426650447*c_0101_4 - 1398819267637716125327/2208922956446426650447, c_0101_4^14 - 53/11*c_0101_4^13 - 60/11*c_0101_4^12 + 299/11*c_0101_4^11 + 316/11*c_0101_4^10 - 823/11*c_0101_4^9 - 477/11*c_0101_4^8 + 1227/11*c_0101_4^7 + 443/11*c_0101_4^6 - 91*c_0101_4^5 - 540/11*c_0101_4^4 + 499/11*c_0101_4^3 + 196/11*c_0101_4^2 - 28/11*c_0101_4 - 8/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB