Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1916006054] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1221 geometric_solution 5.11690005 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 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 1 0 -1 0 0 1 -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 0.474685681917 0.492169232575 0 3 2 4 0132 0132 1230 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.984753450290 1.052639955827 3 0 4 1 2310 0132 0132 3012 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 -1 1 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 0.984753450290 1.052639955827 3 1 2 3 3201 0132 3201 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 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 -0.287953379189 0.787993830240 5 5 1 2 0132 2310 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 0.257988334381 1.113471130121 4 6 6 4 0132 0132 3201 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 -0.428426861081 0.394817446326 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.550146960447 0.375182645820 ==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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], '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_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 8678595969411/245377018715*c_0101_3*c_0101_6^12 - 27014301439011/98150807486*c_0101_3*c_0101_6^11 - 161069111710793/245377018715*c_0101_3*c_0101_6^10 - 375946189162562/245377018715*c_0101_3*c_0101_6^9 - 149857684327771/98150807486*c_0101_3*c_0101_6^8 + 308962586268143/490754037430*c_0101_3*c_0101_6^7 - 227241865000302/245377018715*c_0101_3*c_0101_6^6 + 531584418579116/245377018715*c_0101_3*c_0101_6^5 - 49103625806748/49075403743*c_0101_3*c_0101_6^4 + 303544566508849/245377018715*c_0101_3*c_0101_6^3 - 260129169107623/490754037430*c_0101_3*c_0101_6^2 + 87245950140661/490754037430*c_0101_3*c_0101_6 - 21375123293901/245377018715*c_0101_3, c_0011_0 - 1, c_0011_4 + 50046443353/245377018715*c_0101_3*c_0101_6^12 + 444590758367/245377018715*c_0101_3*c_0101_6^11 + 4176063746947/736131056145*c_0101_3*c_0101_6^10 + 3451162766686/245377018715*c_0101_3*c_0101_6^9 + 15423931845767/736131056145*c_0101_3*c_0101_6^8 + 8701878016534/736131056145*c_0101_3*c_0101_6^7 + 5170563326428/736131056145*c_0101_3*c_0101_6^6 - 6150176297312/736131056145*c_0101_3*c_0101_6^5 - 529630742296/736131056145*c_0101_3*c_0101_6^4 - 1717008194764/245377018715*c_0101_3*c_0101_6^3 + 12076053267/49075403743*c_0101_3*c_0101_6^2 - 114807957754/49075403743*c_0101_3*c_0101_6 + 514856075459/736131056145*c_0101_3, c_0101_0 + 148977764497/245377018715*c_0101_6^12 + 1227056487709/245377018715*c_0101_6^11 + 9863556722188/736131056145*c_0101_6^10 + 23008342137257/736131056145*c_0101_6^9 + 9225866835608/245377018715*c_0101_6^8 - 20227789589/736131056145*c_0101_6^7 + 2364961942279/245377018715*c_0101_6^6 - 21349063305782/736131056145*c_0101_6^5 + 2996719250758/736131056145*c_0101_6^4 - 8359808753446/736131056145*c_0101_6^3 + 565545288652/736131056145*c_0101_6^2 + 384041006126/736131056145*c_0101_6 - 68924736068/245377018715, c_0101_1 - 183194347761/245377018715*c_0101_6^12 - 1432090347298/245377018715*c_0101_6^11 - 680984562107/49075403743*c_0101_6^10 - 23087264697706/736131056145*c_0101_6^9 - 21899043115268/736131056145*c_0101_6^8 + 1011307246967/49075403743*c_0101_6^7 - 7406461972516/736131056145*c_0101_6^6 + 2086355428715/49075403743*c_0101_6^5 - 11319538668433/736131056145*c_0101_6^4 + 10291821522842/736131056145*c_0101_6^3 - 5948896633277/736131056145*c_0101_6^2 - 499849675918/736131056145*c_0101_6 - 70336120306/147226211229, c_0101_2 + 69723495049/245377018715*c_0101_3*c_0101_6^12 + 108973460735/49075403743*c_0101_3*c_0101_6^11 + 3793018306033/736131056145*c_0101_3*c_0101_6^10 + 8072972035619/736131056145*c_0101_3*c_0101_6^9 + 442820410660/49075403743*c_0101_3*c_0101_6^8 - 9653992001789/736131056145*c_0101_3*c_0101_6^7 - 354256124127/245377018715*c_0101_3*c_0101_6^6 - 10362344378222/736131056145*c_0101_3*c_0101_6^5 + 1186943939779/736131056145*c_0101_3*c_0101_6^4 - 63195636203/147226211229*c_0101_3*c_0101_6^3 - 924567595244/736131056145*c_0101_3*c_0101_6^2 + 1639910472242/736131056145*c_0101_3*c_0101_6 - 187710860623/245377018715*c_0101_3, c_0101_3^2 - 52478933391/245377018715*c_0101_6^12 - 401752499816/245377018715*c_0101_6^11 - 891427059287/245377018715*c_0101_6^10 - 5733598464716/736131056145*c_0101_6^9 - 4279394654386/736131056145*c_0101_6^8 + 2462547143951/245377018715*c_0101_6^7 - 1084749731921/736131056145*c_0101_6^6 + 2469085558719/245377018715*c_0101_6^5 - 3638989171271/736131056145*c_0101_6^4 + 1588460737897/736131056145*c_0101_6^3 - 917179938247/736131056145*c_0101_6^2 - 83722520605/147226211229*c_0101_6 - 380075882962/736131056145, c_0101_6^13 + 8*c_0101_6^12 + 61/3*c_0101_6^11 + 48*c_0101_6^10 + 163/3*c_0101_6^9 - 13/3*c_0101_6^8 + 82/3*c_0101_6^7 - 55*c_0101_6^6 + 50/3*c_0101_6^5 - 97/3*c_0101_6^4 + 23/3*c_0101_6^3 - 11/3*c_0101_6^2 + 4/3*c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB