Magma V2.19-8 Tue Aug 20 2013 16:14:07 on localhost [Seed = 2227509437] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s074 geometric_solution 3.61294913 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 0 0 0 0 0 0 -1 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751325237615 0.031225634787 0 2 0 2 0132 0132 1023 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 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 0.566328103319 0.091522117784 3 1 3 1 0132 0132 2310 1023 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 0 0 -1 0 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 -0.950092650901 1.367325723541 2 2 5 4 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 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 -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 0.091548226990 1.936169615507 5 5 3 5 1023 2031 0132 1302 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 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 0.502351116972 0.508728566849 4 4 4 3 1302 1023 2031 0132 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 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 0.502351116972 0.508728566849 ==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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_2'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], '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' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 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 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 2116171230255217688/81800359545750731*c_0101_3^19 + 11836091979486247150/81800359545750731*c_0101_3^18 + 86672013236448905589/81800359545750731*c_0101_3^17 - 83584672973994943760/81800359545750731*c_0101_3^16 - 718164123011094411490/81800359545750731*c_0101_3^15 + 197080589933965485614/81800359545750731*c_0101_3^14 + 2503290138830450801328/81800359545750731*c_0101_3^13 - 116196156257267112457/81800359545750731*c_0101_3^12 - 4162558198658072703382/81800359545750731*c_0101_3^11 - 181866771661994936625/81800359545750731*c_0101_3^10 + 3606197473522481350599/81800359545750731*c_0101_3^9 + 346604038500454611444/81800359545750731*c_0101_3^8 - 1675027230458128819858/81800359545750731*c_0101_3^7 - 243167805868438841137/81800359545750731*c_0101_3^6 + 385855811912343723468/81800359545750731*c_0101_3^5 + 72378977399408881393/81800359545750731*c_0101_3^4 - 22553171745984184223/81800359545750731*c_0101_3^3 - 5164433116902778967/81800359545750731*c_0101_3^2 - 5986164915991042492/81800359545750731*c_0101_3 - 879893591442984022/81800359545750731, c_0011_0 - 1, c_0011_4 - 25138365608942118/81800359545750731*c_0101_3^19 + 165501582899823162/81800359545750731*c_0101_3^18 + 867651649473715226/81800359545750731*c_0101_3^17 - 1871043264563948066/81800359545750731*c_0101_3^16 - 6720418988248420027/81800359545750731*c_0101_3^15 + 9405449146199256835/81800359545750731*c_0101_3^14 + 20994103425923624027/81800359545750731*c_0101_3^13 - 24833756318166282330/81800359545750731*c_0101_3^12 - 28030027053781289330/81800359545750731*c_0101_3^11 + 32942042981747322746/81800359545750731*c_0101_3^10 + 18375721507518555786/81800359545750731*c_0101_3^9 - 22337104085078983014/81800359545750731*c_0101_3^8 - 7950653354349089688/81800359545750731*c_0101_3^7 + 8104036134006135590/81800359545750731*c_0101_3^6 + 2917664457711615576/81800359545750731*c_0101_3^5 - 1439480793832350175/81800359545750731*c_0101_3^4 - 638682969554705191/81800359545750731*c_0101_3^3 - 204459025241825139/81800359545750731*c_0101_3^2 + 63030890451079289/81800359545750731*c_0101_3 + 89825286255206012/81800359545750731, c_0101_0 - 247650303905140945/81800359545750731*c_0101_3^19 + 1317376227073095706/81800359545750731*c_0101_3^18 + 10565567472059114254/81800359545750731*c_0101_3^17 - 7261750980230293408/81800359545750731*c_0101_3^16 - 88410313871172913402/81800359545750731*c_0101_3^15 + 2160877215814010912/81800359545750731*c_0101_3^14 + 312647642158723473213/81800359545750731*c_0101_3^13 + 59387585165474893083/81800359545750731*c_0101_3^12 - 534086985998787586481/81800359545750731*c_0101_3^11 - 141239547718122393021/81800359545750731*c_0101_3^10 + 478052874145989702973/81800359545750731*c_0101_3^9 + 142068642756354813535/81800359545750731*c_0101_3^8 - 226721443364014558948/81800359545750731*c_0101_3^7 - 74133729578633829704/81800359545750731*c_0101_3^6 + 51131672852299468551/81800359545750731*c_0101_3^5 + 18325746234677532909/81800359545750731*c_0101_3^4 - 2547809475811728708/81800359545750731*c_0101_3^3 - 689619986698297984/81800359545750731*c_0101_3^2 - 798579098075130533/81800359545750731*c_0101_3 - 302481153730333864/81800359545750731, c_0101_1 + 14348486704476416/81800359545750731*c_0101_3^19 - 128060040899758400/81800359545750731*c_0101_3^18 - 316840766433303347/81800359545750731*c_0101_3^17 + 2470857906835987072/81800359545750731*c_0101_3^16 + 3041425096270485574/81800359545750731*c_0101_3^15 - 16067227772016829656/81800359545750731*c_0101_3^14 - 12895374200795967888/81800359545750731*c_0101_3^13 + 46353670376871681392/81800359545750731*c_0101_3^12 + 26125424535325871320/81800359545750731*c_0101_3^11 - 58715996041198730993/81800359545750731*c_0101_3^10 - 28182837188479925608/81800359545750731*c_0101_3^9 + 32528669968891734376/81800359545750731*c_0101_3^8 + 16557194649041440581/81800359545750731*c_0101_3^7 - 7353689319860501191/81800359545750731*c_0101_3^6 - 4406719804596921895/81800359545750731*c_0101_3^5 + 1011283082138954417/81800359545750731*c_0101_3^4 + 127997425496559659/81800359545750731*c_0101_3^3 - 400128224058505579/81800359545750731*c_0101_3^2 - 8222989597331136/81800359545750731*c_0101_3 + 81674209494372851/81800359545750731, c_0101_2 - 128314276526114878/81800359545750731*c_0101_3^19 + 731285751990119616/81800359545750731*c_0101_3^18 + 5166981872096197444/81800359545750731*c_0101_3^17 - 5551617806748490630/81800359545750731*c_0101_3^16 - 42537516952272430725/81800359545750731*c_0101_3^15 + 15917079903349275998/81800359545750731*c_0101_3^14 + 146716727999775144528/81800359545750731*c_0101_3^13 - 20774520089020718828/81800359545750731*c_0101_3^12 - 238934943937447790031/81800359545750731*c_0101_3^11 + 11537916839380455445/81800359545750731*c_0101_3^10 + 200213117571682388285/81800359545750731*c_0101_3^9 + 657558549990032204/81800359545750731*c_0101_3^8 - 88105593923821699212/81800359545750731*c_0101_3^7 - 3701666975239678064/81800359545750731*c_0101_3^6 + 18137671927653196054/81800359545750731*c_0101_3^5 + 971997863413968956/81800359545750731*c_0101_3^4 - 558146708237749313/81800359545750731*c_0101_3^3 + 213538237265177038/81800359545750731*c_0101_3^2 - 314122320581368314/81800359545750731*c_0101_3 - 65318190946935153/81800359545750731, c_0101_3^20 - 6*c_0101_3^19 - 39*c_0101_3^18 + 58*c_0101_3^17 + 336*c_0101_3^16 - 246*c_0101_3^15 - 1250*c_0101_3^14 + 584*c_0101_3^13 + 2309*c_0101_3^12 - 794*c_0101_3^11 - 2338*c_0101_3^10 + 602*c_0101_3^9 + 1367*c_0101_3^8 - 238*c_0101_3^7 - 460*c_0101_3^6 + 41*c_0101_3^5 + 77*c_0101_3^4 - c_0101_3^2 - c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB