Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 341150059] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2998 geometric_solution 6.17587542 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 3 0132 0132 3120 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 1.440578377349 0.617432388061 0 4 4 3 0132 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0.399321858454 0.336864510088 5 0 0 3 0132 0132 3120 3201 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 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 0.522022901874 0.914695448150 1 2 0 5 3012 2310 0132 0321 0 0 0 0 0 -1 0 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 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 0.242598721454 0.489528249517 1 1 6 6 2310 0132 0132 2310 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 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 0.891389904380 1.195831778486 2 3 6 6 0132 0321 3120 2031 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458565635153 0.776238891938 4 5 5 4 3201 1302 3120 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445763574537 0.594942582029 ==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' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(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_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_6' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_1001_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_6, c_0101_1, c_0101_2, c_0101_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 140146057664/214127329*c_1001_0^17 + 217818649840/214127329*c_1001_0^16 - 582691646800/214127329*c_1001_0^15 - 1193052220856/214127329*c_1001_0^14 + 79305323212/16471333*c_1001_0^13 + 3210858810271/214127329*c_1001_0^12 - 600202975701/214127329*c_1001_0^11 - 4442197269825/214127329*c_1001_0^10 + 352857493623/214127329*c_1001_0^9 + 4214042642925/214127329*c_1001_0^8 - 109709808425/214127329*c_1001_0^7 - 2503574572296/214127329*c_1001_0^6 + 39524054025/214127329*c_1001_0^5 + 900033158729/214127329*c_1001_0^4 - 19401132070/214127329*c_1001_0^3 - 178818198942/214127329*c_1001_0^2 + 3042447558/214127329*c_1001_0 + 14498936046/214127329, c_0011_0 - 1, c_0011_3 - 1551864032/567977*c_1001_0^17 - 2091934192/567977*c_1001_0^16 + 6788145280/567977*c_1001_0^15 + 11848563384/567977*c_1001_0^14 - 13240366206/567977*c_1001_0^13 - 32789389019/567977*c_1001_0^12 + 11513999725/567977*c_1001_0^11 + 46130619144/567977*c_1001_0^10 - 9871591269/567977*c_1001_0^9 - 43041931599/567977*c_1001_0^8 + 5951803509/567977*c_1001_0^7 + 25257731510/567977*c_1001_0^6 - 2386405908/567977*c_1001_0^5 - 8856872517/567977*c_1001_0^4 + 616956577/567977*c_1001_0^3 + 1716474948/567977*c_1001_0^2 - 71162010/567977*c_1001_0 - 145928856/567977, c_0011_6 + 81486864/567977*c_1001_0^17 + 148766896/567977*c_1001_0^16 - 323285656/567977*c_1001_0^15 - 800580928/567977*c_1001_0^14 + 494141425/567977*c_1001_0^13 + 2114959149/567977*c_1001_0^12 - 24197414/567977*c_1001_0^11 - 2914715479/567977*c_1001_0^10 - 257342607/567977*c_1001_0^9 + 2792709647/567977*c_1001_0^8 + 312775118/567977*c_1001_0^7 - 1688414081/567977*c_1001_0^6 - 172525210/567977*c_1001_0^5 + 609624608/567977*c_1001_0^4 + 38447946/567977*c_1001_0^3 - 120866895/567977*c_1001_0^2 - 4016815/567977*c_1001_0 + 10496752/567977, c_0101_1 - 1811319168/567977*c_1001_0^17 - 2381057376/567977*c_1001_0^16 + 7952088384/567977*c_1001_0^15 + 13524195744/567977*c_1001_0^14 - 15668295544/567977*c_1001_0^13 - 37503394830/567977*c_1001_0^12 + 14147932388/567977*c_1001_0^11 + 52649349813/567977*c_1001_0^10 - 12548429107/567977*c_1001_0^9 - 48837028810/567977*c_1001_0^8 + 7753711347/567977*c_1001_0^7 + 28431281553/567977*c_1001_0^6 - 3144645364/567977*c_1001_0^5 - 9865899195/567977*c_1001_0^4 + 796586055/567977*c_1001_0^3 + 1892739713/567977*c_1001_0^2 - 89260900/567977*c_1001_0 - 159194697/567977, c_0101_2 - 2253374832/567977*c_1001_0^17 - 2969092464/567977*c_1001_0^16 + 9940664472/567977*c_1001_0^15 + 16927321600/567977*c_1001_0^14 - 19672366751/567977*c_1001_0^13 - 47102225013/567977*c_1001_0^12 + 17880448293/567977*c_1001_0^11 + 66561799876/567977*c_1001_0^10 - 15742901991/567977*c_1001_0^9 - 62051273356/567977*c_1001_0^8 + 9791069837/567977*c_1001_0^7 + 36430296922/567977*c_1001_0^6 - 3978714888/567977*c_1001_0^5 - 12764285932/567977*c_1001_0^4 + 1015162239/567977*c_1001_0^3 + 2472611360/567977*c_1001_0^2 - 115274347/567977*c_1001_0 - 210198950/567977, c_0101_4 - 1508446464/567977*c_1001_0^17 - 2069052288/567977*c_1001_0^16 + 6578215248/567977*c_1001_0^15 + 11699328288/567977*c_1001_0^14 - 12724012424/567977*c_1001_0^13 - 32327476720/567977*c_1001_0^12 + 10713936117/567977*c_1001_0^11 + 45528540336/567977*c_1001_0^10 - 8880308776/567977*c_1001_0^9 - 42620663734/567977*c_1001_0^8 + 5199524066/567977*c_1001_0^7 + 25145737928/567977*c_1001_0^6 - 2034498107/567977*c_1001_0^5 - 8872454649/567977*c_1001_0^4 + 534685451/567977*c_1001_0^3 + 1730513063/567977*c_1001_0^2 - 64399965/567977*c_1001_0 - 147659308/567977, c_1001_0^18 + 2*c_1001_0^17 - 7/2*c_1001_0^16 - 21/2*c_1001_0^15 + 57/16*c_1001_0^14 + 107/4*c_1001_0^13 + 51/8*c_1001_0^12 - 555/16*c_1001_0^11 - 105/8*c_1001_0^10 + 32*c_1001_0^9 + 115/8*c_1001_0^8 - 151/8*c_1001_0^7 - 147/16*c_1001_0^6 + 27/4*c_1001_0^5 + 27/8*c_1001_0^4 - 11/8*c_1001_0^3 - 11/16*c_1001_0^2 + 1/8*c_1001_0 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB