Magma V2.19-8 Tue Aug 20 2013 16:19:22 on localhost [Seed = 997893694] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3465 geometric_solution 6.67309616 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.285569700060 0.898101925459 0 2 2 4 0132 3012 2031 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0.649051000304 0.696420581986 1 0 3 1 1230 0132 3120 1302 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 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 0.027584318801 0.951732583694 5 6 2 0 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321537849226 1.011219892858 5 6 0 1 3201 1023 0132 0213 0 0 0 0 0 -1 1 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.321537849226 1.011219892858 3 5 5 4 0132 1230 3012 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 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 0.801708145114 0.805383088543 4 3 6 6 1023 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378504350287 0.862896536095 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : negation(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' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_6'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], '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' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0110_6']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_6'], '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_0011_0']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : negation(d['c_0110_6']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0101_6']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_6, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 16044640937/16171034*c_0110_6^19 + 257222619681/32342068*c_0110_6^17 - 653956264261/23521504*c_0110_6^15 + 60257995670009/1034946176*c_0110_6^13 - 42963606710225/517473088*c_0110_6^11 + 85381898105321/1034946176*c_0110_6^9 - 56901149772459/1034946176*c_0110_6^7 + 5853152200195/258736544*c_0110_6^5 - 1255714706175/258736544*c_0110_6^3 + 101384192271/258736544*c_0110_6, c_0011_0 - 1, c_0011_3 + 305758944/8085517*c_0110_6^18 - 2454245136/8085517*c_0110_6^16 + 785412454/735047*c_0110_6^14 - 36703314787/16171034*c_0110_6^12 + 53422550911/16171034*c_0110_6^10 - 54631494543/16171034*c_0110_6^8 + 19108290477/8085517*c_0110_6^6 - 17156687061/16171034*c_0110_6^4 + 2161348329/8085517*c_0110_6^2 - 229402157/8085517, c_0101_0 - 71778992/8085517*c_0110_6^19 + 475415320/8085517*c_0110_6^17 - 111081087/735047*c_0110_6^15 + 6059278971/32342068*c_0110_6^13 - 1073943399/16171034*c_0110_6^11 - 6031610349/32342068*c_0110_6^9 + 12081273115/32342068*c_0110_6^7 - 2577177096/8085517*c_0110_6^5 + 1058892668/8085517*c_0110_6^3 - 155879442/8085517*c_0110_6, c_0101_1 - 1360450304/8085517*c_0110_6^18 + 11066316512/8085517*c_0110_6^16 - 3581849216/735047*c_0110_6^14 + 84215314614/8085517*c_0110_6^12 - 245507117115/16171034*c_0110_6^10 + 125374592129/8085517*c_0110_6^8 - 173946787793/16171034*c_0110_6^6 + 76212674123/16171034*c_0110_6^4 - 9130707490/8085517*c_0110_6^2 + 889791479/8085517, c_0101_2 - 2307163568/8085517*c_0110_6^19 + 18753841752/8085517*c_0110_6^17 - 6066426447/735047*c_0110_6^15 + 570363691195/32342068*c_0110_6^13 - 415720801149/16171034*c_0110_6^11 + 849546163535/32342068*c_0110_6^9 - 589980927453/32342068*c_0110_6^7 + 64809020820/8085517*c_0110_6^5 - 15645733630/8085517*c_0110_6^3 + 1545468817/8085517*c_0110_6, c_0101_6 + 503401728/8085517*c_0110_6^18 - 4111970976/8085517*c_0110_6^16 + 1335077824/735047*c_0110_6^14 - 31438330866/8085517*c_0110_6^12 + 91686835345/16171034*c_0110_6^10 - 46803843759/8085517*c_0110_6^8 + 64773400145/16171034*c_0110_6^6 - 28195393733/16171034*c_0110_6^4 + 3322092434/8085517*c_0110_6^2 - 313000587/8085517, c_0110_6^20 - 17/2*c_0110_6^18 + 511/16*c_0110_6^16 - 4641/64*c_0110_6^14 + 3615/32*c_0110_6^12 - 8025/64*c_0110_6^10 + 6271/64*c_0110_6^8 - 207/4*c_0110_6^6 + 275/16*c_0110_6^4 - 51/16*c_0110_6^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB