Magma V2.19-8 Tue Aug 20 2013 16:18:27 on localhost [Seed = 3734979562] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2645 geometric_solution 5.91777037 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 0132 0132 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 1 -2 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 0.340875939105 0.502610125710 0 3 0 4 0132 2031 0213 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 -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 0 0 0 0 0 0.437535558624 0.534096136474 3 4 5 0 1023 3120 0132 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.808758383081 0.837422774232 1 2 0 4 1302 1023 0132 1230 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 2 -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 1.403291973200 0.617856830498 3 2 1 5 3012 3120 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.259187571769 1.134949488998 4 6 6 2 3012 0132 1023 0132 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 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 0.204639298259 0.453239185224 6 5 5 6 3201 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 1.573153507768 0.853898435363 ==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' : negation(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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), '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_6'], 'c_1001_4' : d['c_0011_2'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_2']})} 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_4, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 23672603709251048/36311008771741*c_0101_0*c_0101_6^12 + 41018856888558348/36311008771741*c_0101_0*c_0101_6^11 + 85374958985410016/36311008771741*c_0101_0*c_0101_6^10 - 263498110481045590/36311008771741*c_0101_0*c_0101_6^9 + 515718370984204921/72622017543482*c_0101_0*c_0101_6^8 - 417426810399137083/145244035086964*c_0101_0*c_0101_6^7 + 810210553106377639/290488070173928*c_0101_0*c_0101_6^6 - 1116801237951497331/290488070173928*c_0101_0*c_0101_6^5 + 463561646879309029/290488070173928*c_0101_0*c_0101_6^4 + 152008653926184787/145244035086964*c_0101_0*c_0101_6^3 - 93631050010719291/145244035086964*c_0101_0*c_0101_6^2 - 22740795667604629/290488070173928*c_0101_0*c_0101_6 - 7049510749404843/145244035086964*c_0101_0, c_0011_0 - 1, c_0011_2 - 4441670186304/3301000797431*c_0101_6^12 + 6839789163424/3301000797431*c_0101_6^11 + 16450007862240/3301000797431*c_0101_6^10 - 43283403763344/3301000797431*c_0101_6^9 + 41083761723092/3301000797431*c_0101_6^8 - 28964013538794/3301000797431*c_0101_6^7 + 37055353316849/3301000797431*c_0101_6^6 - 27240107127904/3301000797431*c_0101_6^5 + 12212714606541/3301000797431*c_0101_6^4 - 2027942135073/3301000797431*c_0101_6^3 + 137600135761/3301000797431*c_0101_6^2 + 5631404780814/3301000797431*c_0101_6 - 912413688581/3301000797431, c_0011_4 - 4895055459232/3301000797431*c_0101_0*c_0101_6^12 + 6071170297520/3301000797431*c_0101_0*c_0101_6^11 + 8986177310880/3301000797431*c_0101_0*c_0101_6^10 - 31848849181512/3301000797431*c_0101_0*c_0101_6^9 + 84517741283970/3301000797431*c_0101_0*c_0101_6^8 - 97904858611467/3301000797431*c_0101_0*c_0101_6^7 + 138712950343331/6602001594862*c_0101_0*c_0101_6^6 - 86658049535185/6602001594862*c_0101_0*c_0101_6^5 + 51578423232663/3301000797431*c_0101_0*c_0101_6^4 - 28449207337597/3301000797431*c_0101_0*c_0101_6^3 - 6079299030443/6602001594862*c_0101_0*c_0101_6^2 + 2949237737997/3301000797431*c_0101_0*c_0101_6 - 3860603175107/6602001594862*c_0101_0, c_0011_5 - 14346292845280/3301000797431*c_0101_0*c_0101_6^12 + 20909026159760/3301000797431*c_0101_0*c_0101_6^11 + 60617331535648/3301000797431*c_0101_0*c_0101_6^10 - 149342014029336/3301000797431*c_0101_0*c_0101_6^9 + 102720096800582/3301000797431*c_0101_0*c_0101_6^8 + 4047773578647/3301000797431*c_0101_0*c_0101_6^7 + 64258682586593/6602001594862*c_0101_0*c_0101_6^6 - 129363097964695/6602001594862*c_0101_0*c_0101_6^5 - 424399719567/3301000797431*c_0101_0*c_0101_6^4 + 47562587160662/3301000797431*c_0101_0*c_0101_6^3 - 10036541907265/6602001594862*c_0101_0*c_0101_6^2 - 7566843460397/3301000797431*c_0101_0*c_0101_6 - 4461169138445/6602001594862*c_0101_0, c_0101_0^2 - 21132605676480/3301000797431*c_0101_6^12 + 44537311684576/3301000797431*c_0101_6^11 + 82946072689824/3301000797431*c_0101_6^10 - 285678586101296/3301000797431*c_0101_6^9 + 222382458366236/3301000797431*c_0101_6^8 - 13143358211918/3301000797431*c_0101_6^7 + 48555083359107/3301000797431*c_0101_6^6 - 149768428872476/3301000797431*c_0101_6^5 + 29742354345495/3301000797431*c_0101_6^4 + 72019964163708/3301000797431*c_0101_6^3 - 17684800891471/3301000797431*c_0101_6^2 - 14238672875718/3301000797431*c_0101_6 - 4160620324495/3301000797431, c_0101_2 + 19241348304512/3301000797431*c_0101_6^12 - 26980196457280/3301000797431*c_0101_6^11 - 69603508846528/3301000797431*c_0101_6^10 + 181190863210848/3301000797431*c_0101_6^9 - 187237838084552/3301000797431*c_0101_6^8 + 93857085032820/3301000797431*c_0101_6^7 - 101485816464962/3301000797431*c_0101_6^6 + 108010573749940/3301000797431*c_0101_6^5 - 51154023513096/3301000797431*c_0101_6^4 - 19113379823065/3301000797431*c_0101_6^3 + 8057920468854/3301000797431*c_0101_6^2 + 4617605722400/3301000797431*c_0101_6 + 4160886156776/3301000797431, c_0101_6^13 - 3/2*c_0101_6^12 - 4*c_0101_6^11 + 41/4*c_0101_6^10 - 133/16*c_0101_6^9 + 67/32*c_0101_6^8 - 227/64*c_0101_6^7 + 323/64*c_0101_6^6 - 37/32*c_0101_6^5 - 129/64*c_0101_6^4 + 33/64*c_0101_6^3 + 21/64*c_0101_6^2 + 1/8*c_0101_6 + 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB