Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 543276327] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3348 geometric_solution 6.49524070 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -1 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 0 0 0 0 0.098439602680 1.000585055993 0 0 5 4 0132 2310 0132 0132 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 -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 1.185545468365 0.768115719130 3 0 5 6 2310 0132 1023 0132 0 0 0 0 0 0 1 -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 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 0.157536465646 0.821873837590 4 6 2 0 3201 1023 3201 0132 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 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 0 0 0 0 0.157536465646 0.821873837590 5 5 1 3 1302 2031 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.919188349903 0.851754194656 4 4 2 1 1302 2031 1023 0132 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 0 0 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 0.919188349903 0.851754194656 3 6 2 6 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600319408110 0.532274459368 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_2_6' : d['1'], 's_1_6' : 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' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : 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_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_4, c_0011_5, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1352614954884945/67432900436203*c_0110_6^15 - 35240317893069600/472030303053421*c_0110_6^14 + 90090915240840751/472030303053421*c_0110_6^13 - 87009814217183344/472030303053421*c_0110_6^12 + 47486551781153413/472030303053421*c_0110_6^11 + 72257487625727730/472030303053421*c_0110_6^10 - 17849131624111539/472030303053421*c_0110_6^9 + 52407091042880396/472030303053421*c_0110_6^8 - 46731285746329264/472030303053421*c_0110_6^7 + 76536426679769038/472030303053421*c_0110_6^6 + 31823363105947025/472030303053421*c_0110_6^5 - 44037584600427294/472030303053421*c_0110_6^4 + 22822145473325587/472030303053421*c_0110_6^3 + 36142685874851191/472030303053421*c_0110_6^2 + 14109605908673502/472030303053421*c_0110_6 - 691918222125909/472030303053421, c_0011_0 - 1, c_0011_3 + 17409769690430/67432900436203*c_0110_6^15 - 97955727212735/67432900436203*c_0110_6^14 + 314672004355942/67432900436203*c_0110_6^13 - 580027962055262/67432900436203*c_0110_6^12 + 677637411704546/67432900436203*c_0110_6^11 - 384701248564496/67432900436203*c_0110_6^10 - 2011889024349/67432900436203*c_0110_6^9 + 243151919078718/67432900436203*c_0110_6^8 - 378939586609746/67432900436203*c_0110_6^7 + 555003440476806/67432900436203*c_0110_6^6 - 453024792641084/67432900436203*c_0110_6^5 + 65698423398116/67432900436203*c_0110_6^4 + 138712775578601/67432900436203*c_0110_6^3 - 130829216568929/67432900436203*c_0110_6^2 + 21570400444340/67432900436203*c_0110_6 - 14733897074638/67432900436203, c_0011_4 - 73797764561385/67432900436203*c_0110_6^15 + 319973672500345/67432900436203*c_0110_6^14 - 873277344927784/67432900436203*c_0110_6^13 + 1127601258625264/67432900436203*c_0110_6^12 - 841675889507268/67432900436203*c_0110_6^11 - 233614023738239/67432900436203*c_0110_6^10 + 407243997903716/67432900436203*c_0110_6^9 - 486867762995990/67432900436203*c_0110_6^8 + 721221976344767/67432900436203*c_0110_6^7 - 890964112048254/67432900436203*c_0110_6^6 + 253629707499896/67432900436203*c_0110_6^5 + 384712920438924/67432900436203*c_0110_6^4 - 294478467071830/67432900436203*c_0110_6^3 - 157876785835927/67432900436203*c_0110_6^2 + 26993045560023/67432900436203*c_0110_6 + 93085528215517/67432900436203, c_0011_5 - 73797764561385/67432900436203*c_0110_6^15 + 319973672500345/67432900436203*c_0110_6^14 - 873277344927784/67432900436203*c_0110_6^13 + 1127601258625264/67432900436203*c_0110_6^12 - 841675889507268/67432900436203*c_0110_6^11 - 233614023738239/67432900436203*c_0110_6^10 + 407243997903716/67432900436203*c_0110_6^9 - 486867762995990/67432900436203*c_0110_6^8 + 721221976344767/67432900436203*c_0110_6^7 - 890964112048254/67432900436203*c_0110_6^6 + 253629707499896/67432900436203*c_0110_6^5 + 384712920438924/67432900436203*c_0110_6^4 - 294478467071830/67432900436203*c_0110_6^3 - 157876785835927/67432900436203*c_0110_6^2 + 26993045560023/67432900436203*c_0110_6 + 93085528215517/67432900436203, c_0101_1 - 206354653218930/67432900436203*c_0110_6^15 + 905286298733710/67432900436203*c_0110_6^14 - 2477489070474532/67432900436203*c_0110_6^13 + 3179454009340257/67432900436203*c_0110_6^12 - 2171747515783917/67432900436203*c_0110_6^11 - 1297396106404823/67432900436203*c_0110_6^10 + 2058743101564641/67432900436203*c_0110_6^9 - 2061176849924597/67432900436203*c_0110_6^8 + 2017010975865709/67432900436203*c_0110_6^7 - 2487833250660428/67432900436203*c_0110_6^6 + 364319194774295/67432900436203*c_0110_6^5 + 1669008960914438/67432900436203*c_0110_6^4 - 1585947686629391/67432900436203*c_0110_6^3 - 223452191477984/67432900436203*c_0110_6^2 + 227074183839769/67432900436203*c_0110_6 + 128724151167237/67432900436203, c_0101_2 + 33852458398415/67432900436203*c_0110_6^15 - 173182998554430/67432900436203*c_0110_6^14 + 517975685500851/67432900436203*c_0110_6^13 - 831451823878056/67432900436203*c_0110_6^12 + 777951920830918/67432900436203*c_0110_6^11 - 104735260783555/67432900436203*c_0110_6^10 - 438119322376829/67432900436203*c_0110_6^9 + 622346785488944/67432900436203*c_0110_6^8 - 656073936731452/67432900436203*c_0110_6^7 + 764284774168669/67432900436203*c_0110_6^6 - 350781381260960/67432900436203*c_0110_6^5 - 196974660443567/67432900436203*c_0110_6^4 + 442502434229711/67432900436203*c_0110_6^3 - 180745815228995/67432900436203*c_0110_6^2 - 5951668805507/67432900436203*c_0110_6 - 12295980826475/67432900436203, c_0110_6^16 - 4*c_0110_6^15 + 52/5*c_0110_6^14 - 56/5*c_0110_6^13 + 29/5*c_0110_6^12 + 43/5*c_0110_6^11 - 31/5*c_0110_6^10 + 32/5*c_0110_6^9 - 34/5*c_0110_6^8 + 9*c_0110_6^7 + 2*c_0110_6^6 - 37/5*c_0110_6^5 + 21/5*c_0110_6^4 + 17/5*c_0110_6^3 - 4/5*c_0110_6 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB