Magma V2.19-8 Tue Aug 20 2013 16:16:17 on localhost [Seed = 2067457945] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0545 geometric_solution 4.56838403 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 2310 0132 0 0 0 0 0 -1 0 1 -1 0 0 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 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 0.720362015678 0.917862421523 0 0 4 4 0132 3201 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385329467592 0.234383266229 5 0 3 5 0132 0132 3201 3201 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 -1 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 0.911158127960 0.655186508692 2 4 0 4 2310 1302 0132 2031 0 0 0 0 0 0 -1 1 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 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 0.720362015678 0.917862421523 1 3 1 3 2310 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.894308516730 1.152245687752 2 2 6 6 0132 2310 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.997835030834 0.666288840040 5 6 6 5 3201 3201 2310 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 1 -1 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.680173607482 0.110431043006 ==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' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : 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' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 190780873040/5710634658939*c_0101_5^11 + 2425521797340/1903544886313*c_0101_5^10 - 17453858060332/5710634658939*c_0101_5^9 - 8226570729556/1903544886313*c_0101_5^8 + 74101368845020/5710634658939*c_0101_5^7 + 71787992065564/5710634658939*c_0101_5^6 - 26861780439314/815804951277*c_0101_5^5 - 19912579843500/1903544886313*c_0101_5^4 + 153178985664095/5710634658939*c_0101_5^3 + 594162953564/5710634658939*c_0101_5^2 + 15198142876535/5710634658939*c_0101_5 - 20825556848398/5710634658939, c_0011_0 - 1, c_0011_4 + 58626185328/271934983759*c_0101_5^11 - 129635087188/271934983759*c_0101_5^10 - 230803569610/271934983759*c_0101_5^9 + 529503772769/271934983759*c_0101_5^8 + 674820037372/271934983759*c_0101_5^7 - 1270996151359/271934983759*c_0101_5^6 - 561914637306/271934983759*c_0101_5^5 + 995386134510/271934983759*c_0101_5^4 - 216738952373/271934983759*c_0101_5^3 - 83057101456/271934983759*c_0101_5^2 - 29802631029/271934983759*c_0101_5 - 204229875434/271934983759, c_0011_6 + 765102332/271934983759*c_0101_5^11 + 37529052853/271934983759*c_0101_5^10 - 98822022980/271934983759*c_0101_5^9 - 136953089097/271934983759*c_0101_5^8 + 393695444153/271934983759*c_0101_5^7 + 416668858304/271934983759*c_0101_5^6 - 936678804016/271934983759*c_0101_5^5 - 411413551600/271934983759*c_0101_5^4 + 688852229427/271934983759*c_0101_5^3 + 222860579139/271934983759*c_0101_5^2 - 46953390643/271934983759*c_0101_5 - 298259543209/271934983759, c_0101_0 - 58626185328/271934983759*c_0101_5^11 + 129635087188/271934983759*c_0101_5^10 + 230803569610/271934983759*c_0101_5^9 - 529503772769/271934983759*c_0101_5^8 - 674820037372/271934983759*c_0101_5^7 + 1270996151359/271934983759*c_0101_5^6 + 561914637306/271934983759*c_0101_5^5 - 995386134510/271934983759*c_0101_5^4 + 216738952373/271934983759*c_0101_5^3 + 83057101456/271934983759*c_0101_5^2 + 29802631029/271934983759*c_0101_5 + 204229875434/271934983759, c_0101_1 + 5014201800/271934983759*c_0101_5^11 - 10516851718/271934983759*c_0101_5^10 + 13711594303/271934983759*c_0101_5^9 - 42412252730/271934983759*c_0101_5^8 - 64247162997/271934983759*c_0101_5^7 + 240762289253/271934983759*c_0101_5^6 + 320145473654/271934983759*c_0101_5^5 - 744885585166/271934983759*c_0101_5^4 - 382581891250/271934983759*c_0101_5^3 + 597343046577/271934983759*c_0101_5^2 - 65370560470/271934983759*c_0101_5 - 44446289743/271934983759, c_0101_2 + 58362442356/271934983759*c_0101_5^11 - 130935252409/271934983759*c_0101_5^10 - 237921016478/271934983759*c_0101_5^9 + 538962377055/271934983759*c_0101_5^8 + 732457588723/271934983759*c_0101_5^7 - 1308363223306/271934983759*c_0101_5^6 - 819613410237/271934983759*c_0101_5^5 + 1078529673317/271934983759*c_0101_5^4 + 267184121591/271934983759*c_0101_5^3 - 222305868093/271934983759*c_0101_5^2 - 385592409072/271934983759*c_0101_5 + 15163651792/271934983759, c_0101_5^12 - 9/4*c_0101_5^11 - 19/4*c_0101_5^10 + 45/4*c_0101_5^9 + 29/2*c_0101_5^8 - 61/2*c_0101_5^7 - 77/4*c_0101_5^6 + 153/4*c_0101_5^5 + 23/4*c_0101_5^4 - 73/4*c_0101_5^3 - 13/4*c_0101_5^2 + 1/2*c_0101_5 + 21/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB