Magma V2.19-8 Tue Aug 20 2013 16:16:04 on localhost [Seed = 1292685699] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0319 geometric_solution 4.35277120 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 1023 1023 0 0 0 0 0 -1 0 1 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 -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 1.227263424728 0.081070207743 0 1 1 0 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 1.163588481042 0.040379960992 3 0 0 3 0132 0132 1023 1023 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 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 1.436638191266 0.413595247046 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 0 0 0 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 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 0.125253365856 0.544668221656 6 3 6 5 0132 0132 1023 2031 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 1 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 0.491064138437 1.014366430749 6 4 6 3 3201 1302 2310 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491064138437 1.014366430749 4 5 4 5 0132 3201 1023 2310 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 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456447358860 0.306841987142 ==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' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : negation(d['1']), 's_0_4' : negation(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_0011_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], '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_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : 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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 25510749/8388608*c_0101_4^23 + 98201061/4194304*c_0101_4^22 + 126329977/4194304*c_0101_4^21 - 466959993/2097152*c_0101_4^20 - 7418986653/8388608*c_0101_4^19 - 422593177/1048576*c_0101_4^18 + 4120073691/1048576*c_0101_4^17 + 36559982065/4194304*c_0101_4^16 + 183102317/4194304*c_0101_4^15 - 209204137939/8388608*c_0101_4^14 - 35080531161/1048576*c_0101_4^13 + 85931978891/8388608*c_0101_4^12 + 582506348621/8388608*c_0101_4^11 + 240630120121/4194304*c_0101_4^10 - 68812446897/2097152*c_0101_4^9 - 95343292567/1048576*c_0101_4^8 - 11493260519/262144*c_0101_4^7 + 4918897921/131072*c_0101_4^6 + 3517050375/65536*c_0101_4^5 + 101121111/8192*c_0101_4^4 - 517359631/32768*c_0101_4^3 - 181658131/16384*c_0101_4^2 - 3050829/8192*c_0101_4 + 5558393/4096, c_0011_0 - 1, c_0011_5 + 3/4194304*c_0101_4^23 + 9/2097152*c_0101_4^22 - 1/2097152*c_0101_4^21 - 57/1048576*c_0101_4^20 - 515/4194304*c_0101_4^19 + 139/1048576*c_0101_4^18 + 217/262144*c_0101_4^17 + 1703/2097152*c_0101_4^16 - 3729/2097152*c_0101_4^15 - 18213/4194304*c_0101_4^14 - 1603/1048576*c_0101_4^13 + 34061/4194304*c_0101_4^12 + 38471/4194304*c_0101_4^11 + 649/2097152*c_0101_4^10 - 19447/1048576*c_0101_4^9 - 1319/524288*c_0101_4^8 - 1253/131072*c_0101_4^7 + 2889/65536*c_0101_4^6 - 1911/32768*c_0101_4^5 + 983/8192*c_0101_4^4 - 4173/16384*c_0101_4^3 + 4093/8192*c_0101_4^2 + 5/4096*c_0101_4 + 1/2048, c_0101_0 - 579651/4194304*c_0101_4^23 - 1607625/2097152*c_0101_4^22 + 1980065/2097152*c_0101_4^21 + 13962201/1048576*c_0101_4^20 + 80487875/4194304*c_0101_4^19 - 72704267/1048576*c_0101_4^18 - 60475989/262144*c_0101_4^17 - 74143463/2097152*c_0101_4^16 + 1846972241/2097152*c_0101_4^15 + 5522323045/4194304*c_0101_4^14 - 769772573/1048576*c_0101_4^13 - 17015528717/4194304*c_0101_4^12 - 13091510663/4194304*c_0101_4^11 + 7761525719/2097152*c_0101_4^10 + 8868007719/1048576*c_0101_4^9 + 1677496151/524288*c_0101_4^8 - 863784355/131072*c_0101_4^7 - 554209457/65536*c_0101_4^6 - 37767585/32768*c_0101_4^5 + 40685245/8192*c_0101_4^4 + 62080349/16384*c_0101_4^3 - 179917/8192*c_0101_4^2 - 5396421/4096*c_0101_4 - 1141569/2048, c_0101_1 - 699/16384*c_0101_4^23 - 2265/8192*c_0101_4^22 - 67/8192*c_0101_4^21 + 15407/4096*c_0101_4^20 + 144779/16384*c_0101_4^19 - 42843/4096*c_0101_4^18 - 137915/2048*c_0101_4^17 - 493955/8192*c_0101_4^16 + 1384273/8192*c_0101_4^15 + 6777693/16384*c_0101_4^14 + 281359/4096*c_0101_4^13 - 14380509/16384*c_0101_4^12 - 17900007/16384*c_0101_4^11 + 3105307/8192*c_0101_4^10 + 8195559/4096*c_0101_4^9 + 677131/512*c_0101_4^8 - 144011/128*c_0101_4^7 - 554337/256*c_0101_4^6 - 5373/8*c_0101_4^5 + 273425/256*c_0101_4^4 + 16689/16*c_0101_4^3 + 2833/32*c_0101_4^2 - 1335/4*c_0101_4 - 2569/16, c_0101_2 - 15/4096*c_0101_4^23 - 57/2048*c_0101_4^22 - 61/2048*c_0101_4^21 + 307/1024*c_0101_4^20 + 4391/4096*c_0101_4^19 + 107/1024*c_0101_4^18 - 5967/1024*c_0101_4^17 - 21291/2048*c_0101_4^16 + 11965/2048*c_0101_4^15 + 164353/4096*c_0101_4^14 + 36983/1024*c_0101_4^13 - 191861/4096*c_0101_4^12 - 490491/4096*c_0101_4^11 - 89007/2048*c_0101_4^10 + 66555/512*c_0101_4^9 + 10629/64*c_0101_4^8 - 1641/256*c_0101_4^7 - 20185/128*c_0101_4^6 - 1627/16*c_0101_4^5 + 703/16*c_0101_4^4 + 1315/16*c_0101_4^3 + 159/8*c_0101_4^2 - 43/2*c_0101_4 - 13, c_0101_3 + 218391/4194304*c_0101_4^23 + 1120485/2097152*c_0101_4^22 + 3191611/2097152*c_0101_4^21 - 2755501/1048576*c_0101_4^20 - 104426359/4194304*c_0101_4^19 - 45870465/1048576*c_0101_4^18 + 7041241/131072*c_0101_4^17 + 659802827/2097152*c_0101_4^16 + 732131507/2097152*c_0101_4^15 - 1852047633/4194304*c_0101_4^14 - 1637539023/1048576*c_0101_4^13 - 4702784407/4194304*c_0101_4^12 + 6490719947/4194304*c_0101_4^11 + 7478474221/2097152*c_0101_4^10 + 1789937409/1048576*c_0101_4^9 - 1288631951/524288*c_0101_4^8 - 521672729/131072*c_0101_4^7 - 89496731/65536*c_0101_4^6 + 56813257/32768*c_0101_4^5 + 17349525/8192*c_0101_4^4 + 9997687/16384*c_0101_4^3 - 3595167/8192*c_0101_4^2 - 1788691/4096*c_0101_4 - 262631/2048, c_0101_4^24 + 8*c_0101_4^23 + 34/3*c_0101_4^22 - 232/3*c_0101_4^21 - 971/3*c_0101_4^20 - 158*c_0101_4^19 + 1528*c_0101_4^18 + 3450*c_0101_4^17 - 646/3*c_0101_4^16 - 11043*c_0101_4^15 - 42838/3*c_0101_4^14 + 7079*c_0101_4^13 + 35531*c_0101_4^12 + 26080*c_0101_4^11 - 25064*c_0101_4^10 - 55376*c_0101_4^9 - 20400*c_0101_4^8 + 104704/3*c_0101_4^7 + 41728*c_0101_4^6 + 14080/3*c_0101_4^5 - 61696/3*c_0101_4^4 - 40960/3*c_0101_4^3 + 2048/3*c_0101_4^2 + 4096*c_0101_4 + 4096/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB