Magma V2.19-8 Tue Aug 20 2013 16:15:47 on localhost [Seed = 1562165617] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0012 geometric_solution 3.56114472 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548278058224 0.351692817144 0 4 0 4 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2.417288452360 0.852380099709 5 3 3 0 0132 3012 2031 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -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 0.791612314286 0.419394393026 2 5 0 2 1230 3201 0132 1302 0 0 0 0 0 1 0 -1 0 0 1 -1 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 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 0.791612314286 0.419394393026 1 1 6 6 3201 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232321007111 0.025111096533 2 5 3 5 0132 2310 2310 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 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 0.950166222703 1.912274158034 6 4 6 4 2310 2310 3201 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 -2.065689324034 0.111313864650 ==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' : 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' : 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_6']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(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' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : negation(d['c_0101_0']), 'c_1010_6' : negation(d['c_0110_4']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : negation(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_2, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 7262721468215/70593016484*c_0110_4^10 - 82583917586815/282372065936*c_0110_4^9 + 88055000411937/141186032968*c_0110_4^8 - 75424688574993/282372065936*c_0110_4^7 - 127428092633399/141186032968*c_0110_4^6 + 28006997946341/35296508242*c_0110_4^5 + 25563380448631/70593016484*c_0110_4^4 - 105381930596127/141186032968*c_0110_4^3 + 113101512694423/282372065936*c_0110_4^2 - 31788086726597/282372065936*c_0110_4 + 4627930470005/282372065936, c_0011_0 - 1, c_0011_2 + 106452068188/17648254121*c_0110_4^10 - 210668290161/17648254121*c_0110_4^9 + 379916311202/17648254121*c_0110_4^8 + 245790641443/17648254121*c_0110_4^7 - 1116806015212/17648254121*c_0110_4^6 - 151443739623/17648254121*c_0110_4^5 + 1019133799296/17648254121*c_0110_4^4 - 132517840894/17648254121*c_0110_4^3 - 177077290671/17648254121*c_0110_4^2 + 83197853795/17648254121*c_0110_4 - 26669632753/17648254121, c_0011_6 + 73647532124/17648254121*c_0110_4^10 - 228027214479/17648254121*c_0110_4^9 + 479497751117/17648254121*c_0110_4^8 - 266160898976/17648254121*c_0110_4^7 - 682090344596/17648254121*c_0110_4^6 + 706393688228/17648254121*c_0110_4^5 + 267869792342/17648254121*c_0110_4^4 - 599955740251/17648254121*c_0110_4^3 + 364891972354/17648254121*c_0110_4^2 - 98623913384/17648254121*c_0110_4 + 1223217763/17648254121, c_0101_0 + 233225755054/17648254121*c_0110_4^10 - 699994032930/17648254121*c_0110_4^9 + 1432989768567/17648254121*c_0110_4^8 - 661191079488/17648254121*c_0110_4^7 - 2304093225848/17648254121*c_0110_4^6 + 2001552382717/17648254121*c_0110_4^5 + 1253639817504/17648254121*c_0110_4^4 - 1816688786855/17648254121*c_0110_4^3 + 746058758113/17648254121*c_0110_4^2 - 190115395597/17648254121*c_0110_4 + 10613595319/17648254121, c_0101_1 - 320815022028/17648254121*c_0110_4^10 + 926540477728/17648254121*c_0110_4^9 - 1885577636529/17648254121*c_0110_4^8 + 747147921343/17648254121*c_0110_4^7 + 3153496097228/17648254121*c_0110_4^6 - 2375088100612/17648254121*c_0110_4^5 - 1800939057500/17648254121*c_0110_4^4 + 2204293024462/17648254121*c_0110_4^3 - 909762010469/17648254121*c_0110_4^2 + 237771910171/17648254121*c_0110_4 - 14604917920/17648254121, c_0101_2 + 5795047907/17648254121*c_0110_4^10 - 104076383600/17648254121*c_0110_4^9 + 259016064603/17648254121*c_0110_4^8 - 459312797873/17648254121*c_0110_4^7 + 14538855212/17648254121*c_0110_4^6 + 909202298246/17648254121*c_0110_4^5 - 337162636411/17648254121*c_0110_4^4 - 624391719516/17648254121*c_0110_4^3 + 433190401881/17648254121*c_0110_4^2 - 138596165109/17648254121*c_0110_4 + 24931796731/17648254121, c_0110_4^11 - 53/17*c_0110_4^10 + 112/17*c_0110_4^9 - 65/17*c_0110_4^8 - 9*c_0110_4^7 + 162/17*c_0110_4^6 + 58/17*c_0110_4^5 - 131/17*c_0110_4^4 + 80/17*c_0110_4^3 - 31/17*c_0110_4^2 + 6/17*c_0110_4 - 1/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB