Magma V2.19-8 Tue Aug 20 2013 16:18:47 on localhost [Seed = 391547495] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2951 geometric_solution 6.14240431 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 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 0.621142348305 0.613091797012 3 2 4 0 0132 3012 0132 0132 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 1.184530834531 0.804899967664 1 3 0 4 1230 3201 0132 3201 0 0 0 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 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 1.184530834531 0.804899967664 1 5 2 6 0132 0132 2310 0132 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.218458442283 0.514175640882 5 2 6 1 0213 2310 2031 0132 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 -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 0.218458442283 0.514175640882 4 3 6 6 0213 0132 3012 2310 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587567414075 0.623345073146 5 5 3 4 3201 1230 0132 1302 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587567414075 0.623345073146 ==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' : 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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], '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_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0011_1'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0110_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0110_6']), 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_4, c_0011_6, 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 + 4173064541344730/6445339160263*c_0110_6^15 - 108280477511817186/6445339160263*c_0110_6^13 + 1932256876040087885/25781356641052*c_0110_6^11 + 2056382884825060681/25781356641052*c_0110_6^9 - 1643092755380044477/51562713282104*c_0110_6^7 - 992675133530946801/25781356641052*c_0110_6^5 - 290887140707921419/51562713282104*c_0110_6^3 - 59740366646040761/51562713282104*c_0110_6, c_0011_0 - 1, c_0011_1 + 11908048328064/6445339160263*c_0110_6^15 - 309195989765552/6445339160263*c_0110_6^13 + 1383554654026544/6445339160263*c_0110_6^11 + 1453010182440474/6445339160263*c_0110_6^9 - 663838862103268/6445339160263*c_0110_6^7 - 719464509971955/6445339160263*c_0110_6^5 - 69214562717937/6445339160263*c_0110_6^3 - 16784308459892/6445339160263*c_0110_6, c_0011_4 - 267166132224/6445339160263*c_0110_6^14 + 7584918249072/6445339160263*c_0110_6^12 - 48232724771056/6445339160263*c_0110_6^10 + 52495775174462/6445339160263*c_0110_6^8 + 44883206700350/6445339160263*c_0110_6^6 - 32718828216265/6445339160263*c_0110_6^4 - 21561347010738/6445339160263*c_0110_6^2 - 3061307660898/6445339160263, c_0011_6 - 1653520851856/6445339160263*c_0110_6^14 + 43230235892224/6445339160263*c_0110_6^12 - 199919645186258/6445339160263*c_0110_6^10 - 164168071229764/6445339160263*c_0110_6^8 + 109478675050097/6445339160263*c_0110_6^6 + 96326952953839/6445339160263*c_0110_6^4 + 5036142316728/6445339160263*c_0110_6^2 + 1548849179499/6445339160263, c_0101_1 + c_0110_6, c_0101_2 + 6396237763552/6445339160263*c_0110_6^14 - 165579461075520/6445339160263*c_0110_6^12 + 730051179995884/6445339160263*c_0110_6^10 + 841453644305312/6445339160263*c_0110_6^8 - 310627936476952/6445339160263*c_0110_6^6 - 413884529477988/6445339160263*c_0110_6^4 - 44955114745535/6445339160263*c_0110_6^2 - 6171117983001/6445339160263, c_0110_6^16 - 26*c_0110_6^14 + 937/8*c_0110_6^12 + 117*c_0110_6^10 - 883/16*c_0110_6^8 - 901/16*c_0110_6^6 - 93/16*c_0110_6^4 - 13/8*c_0110_6^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB