Magma V2.19-8 Tue Aug 20 2013 16:17:29 on localhost [Seed = 3768679483] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1720 geometric_solution 5.43025735 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 -1 0 1 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 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942635749954 0.454506084180 0 4 5 3 0132 0132 0132 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517221446888 0.648162375952 6 0 0 6 0132 0132 1023 3201 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 -1 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 1.151369257817 0.209615824200 5 1 0 4 2310 1302 0132 0132 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 0 0 0 -1 0 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 0.517221446888 0.648162375952 4 1 3 4 3012 0132 0132 1230 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 0.517221446888 0.648162375952 5 5 3 1 1230 3012 3201 0132 0 0 0 0 0 1 0 -1 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 1 -1 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 0.247822850333 0.942599985746 2 2 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.436042219610 0.175499128238 ==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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_0101_2'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : 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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : 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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 9*c_0101_4^3 + 5/2*c_0101_4^2 + 53/4*c_0101_4 + 4, c_0011_0 - 1, c_0011_3 - c_0101_4^2 + 1, c_0011_5 + 1, c_0101_0 + 2*c_0101_4^3 - c_0101_4^2 - 5/2*c_0101_4 + 1, c_0101_2 - 2*c_0101_4^3 + c_0101_4^2 + 5/2*c_0101_4 - 1, c_0101_4^4 - 1/2*c_0101_4^3 - 9/4*c_0101_4^2 + 1/2*c_0101_4 + 1, c_0101_6 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 9*c_0101_4^3 - 5/2*c_0101_4^2 + 53/4*c_0101_4 - 4, c_0011_0 - 1, c_0011_3 - c_0101_4^2 + 1, c_0011_5 + 1, c_0101_0 + 2*c_0101_4^3 + c_0101_4^2 - 5/2*c_0101_4 - 1, c_0101_2 + 2*c_0101_4^3 + c_0101_4^2 - 5/2*c_0101_4 - 1, c_0101_4^4 + 1/2*c_0101_4^3 - 9/4*c_0101_4^2 - 1/2*c_0101_4 + 1, c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 114188429254483141/20118263227266907*c_0101_6^21 + 97026323216671524309/321892211636270512*c_0101_6^19 - 683618890202042241231/160946105818135256*c_0101_6^17 + 1094732756326358869977/40236526454533814*c_0101_6^15 - 25241723673695920523293/321892211636270512*c_0101_6^13 + 5241696040832753741779/80473052909067628*c_0101_6^11 - 2177635896314490791807/160946105818135256*c_0101_6^9 - 232474038152994092225/80473052909067628*c_0101_6^7 + 4849707433296585508/20118263227266907*c_0101_6^5 + 36440424244498437519/160946105818135256*c_0101_6^3 + 6901099455273364695/321892211636270512*c_0101_6, c_0011_0 - 1, c_0011_3 + 11074840951143899/20118263227266907*c_0101_6^20 - 594404747551661938/20118263227266907*c_0101_6^18 + 8620253682228630846/20118263227266907*c_0101_6^16 - 57774802933709180800/20118263227266907*c_0101_6^14 + 183064175008915472777/20118263227266907*c_0101_6^12 - 213984591187555448521/20118263227266907*c_0101_6^10 + 99904851451410838528/20118263227266907*c_0101_6^8 - 12401799179911175230/20118263227266907*c_0101_6^6 - 1704539121708031357/20118263227266907*c_0101_6^4 - 320053928580388505/20118263227266907*c_0101_6^2 + 127157291592886820/20118263227266907, c_0011_5 + 11074840951143899/20118263227266907*c_0101_6^20 - 594404747551661938/20118263227266907*c_0101_6^18 + 8620253682228630846/20118263227266907*c_0101_6^16 - 57774802933709180800/20118263227266907*c_0101_6^14 + 183064175008915472777/20118263227266907*c_0101_6^12 - 213984591187555448521/20118263227266907*c_0101_6^10 + 99904851451410838528/20118263227266907*c_0101_6^8 - 12401799179911175230/20118263227266907*c_0101_6^6 - 1704539121708031357/20118263227266907*c_0101_6^4 - 320053928580388505/20118263227266907*c_0101_6^2 + 107039028365619913/20118263227266907, c_0101_0 + 6771419900967513/20118263227266907*c_0101_6^21 - 363899215930063971/20118263227266907*c_0101_6^19 + 5295527631525831431/20118263227266907*c_0101_6^17 - 35681509693379007394/20118263227266907*c_0101_6^15 + 114272601255566363019/20118263227266907*c_0101_6^13 - 137952813037512376209/20118263227266907*c_0101_6^11 + 68281326688655711306/20118263227266907*c_0101_6^9 - 9883748727880410395/20118263227266907*c_0101_6^7 - 1092181852113103496/20118263227266907*c_0101_6^5 - 285810203732605243/20118263227266907*c_0101_6^3 + 131677414578122590/20118263227266907*c_0101_6, c_0101_2 - 1757458722181731/20118263227266907*c_0101_6^20 + 94522609644308917/20118263227266907*c_0101_6^18 - 1378471424616191255/20118263227266907*c_0101_6^16 + 9319354776892684257/20118263227266907*c_0101_6^14 - 30046114705491621321/20118263227266907*c_0101_6^12 + 37000709931587180818/20118263227266907*c_0101_6^10 - 18989585729845065037/20118263227266907*c_0101_6^8 + 2974636584582072110/20118263227266907*c_0101_6^6 + 360295822643247886/20118263227266907*c_0101_6^4 + 50954926272364629/20118263227266907*c_0101_6^2 - 47203942831136959/20118263227266907, c_0101_4 + 146904232675106759/80473052909067628*c_0101_6^21 - 1967546061578040834/20118263227266907*c_0101_6^19 + 28394635026700974716/20118263227266907*c_0101_6^17 - 755512456003872305911/80473052909067628*c_0101_6^15 + 1179128273460329973013/40236526454533814*c_0101_6^13 - 1316726207897695511069/40236526454533814*c_0101_6^11 + 286112843978734511675/20118263227266907*c_0101_6^9 - 30588678587170575423/20118263227266907*c_0101_6^7 - 9398743277650835131/40236526454533814*c_0101_6^5 - 4176412538884696927/80473052909067628*c_0101_6^3 + 695924296484222023/40236526454533814*c_0101_6, c_0101_6^22 - 54*c_0101_6^20 + 796*c_0101_6^18 - 5473*c_0101_6^16 + 18252*c_0101_6^14 - 24810*c_0101_6^12 + 15548*c_0101_6^10 - 4264*c_0101_6^8 + 278*c_0101_6^6 + 11*c_0101_6^4 + 24*c_0101_6^2 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB