Magma V2.19-8 Tue Aug 20 2013 16:18:48 on localhost [Seed = 2699115999] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2967 geometric_solution 6.15048247 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 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 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.002658574490 0.792040829616 3 0 4 2 0132 0132 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642219402714 0.653760146618 5 1 3 0 0132 1302 2310 0132 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 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 0.642219402714 0.653760146618 1 2 6 6 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938455351884 0.709591417528 5 5 6 1 3201 0213 3012 0132 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 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 0.658964496529 0.316470270558 2 6 4 4 0132 1230 0213 2310 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 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 0.658964496529 0.316470270558 3 4 5 3 3201 1230 3012 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.931776978367 1.109120179121 ==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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(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_0011_4'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_2'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0011_4']})} 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_6, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 355819834684065343/107251931356302120*c_0101_3^16 + 304056597764230871/107251931356302120*c_0101_3^15 + 3347925944278811263/107251931356302120*c_0101_3^14 + 1971907083508515763/53625965678151060*c_0101_3^13 - 168575823166912735/893766094635851*c_0101_3^12 - 5782019779360501643/107251931356302120*c_0101_3^11 + 1078375698621808995/3575064378543404*c_0101_3^10 + 4881270133345907504/13406491419537765*c_0101_3^9 - 5064768650377773344/13406491419537765*c_0101_3^8 - 60407532440900917541/107251931356302120*c_0101_3^7 + 376565251689182559/4468830473179255*c_0101_3^6 + 15006468830256122119/26812982839075530*c_0101_3^5 + 39496525614424934609/107251931356302120*c_0101_3^4 - 921142534365830467/7150128757086808*c_0101_3^3 - 5863869726843323711/21450386271260424*c_0101_3^2 - 4254157931860516943/35750643785434040*c_0101_3 - 1529361119747251237/107251931356302120, c_0011_0 - 1, c_0011_2 + 287478651248808/893766094635851*c_0101_3^16 - 339698028144766/893766094635851*c_0101_3^15 - 2639974412064632/893766094635851*c_0101_3^14 - 2220826510569716/893766094635851*c_0101_3^13 + 17408179230721075/893766094635851*c_0101_3^12 - 1036988414382858/893766094635851*c_0101_3^11 - 28699839254071221/893766094635851*c_0101_3^10 - 19108575192013520/893766094635851*c_0101_3^9 + 41236350081764515/893766094635851*c_0101_3^8 + 34851628249742883/893766094635851*c_0101_3^7 - 25826812146621508/893766094635851*c_0101_3^6 - 38174560384806842/893766094635851*c_0101_3^5 - 15747373260720204/893766094635851*c_0101_3^4 + 17656933259314123/893766094635851*c_0101_3^3 + 17987099565592261/893766094635851*c_0101_3^2 + 472512105936133/893766094635851*c_0101_3 - 2142876192791016/893766094635851, c_0011_4 + 1505696312878735/1787532189271702*c_0101_3^16 - 790692333613415/1787532189271702*c_0101_3^15 - 14553855909596735/1787532189271702*c_0101_3^14 - 10529036920981094/893766094635851*c_0101_3^13 + 39758882303505855/893766094635851*c_0101_3^12 + 49304360991625239/1787532189271702*c_0101_3^11 - 65354725326198667/893766094635851*c_0101_3^10 - 96634183569135284/893766094635851*c_0101_3^9 + 58656456197365617/893766094635851*c_0101_3^8 + 285191902229890759/1787532189271702*c_0101_3^7 + 11184619481269404/893766094635851*c_0101_3^6 - 117655574377257648/893766094635851*c_0101_3^5 - 222557433574436263/1787532189271702*c_0101_3^4 - 9509879468152833/1787532189271702*c_0101_3^3 + 116238833397011033/1787532189271702*c_0101_3^2 + 73215771210974227/1787532189271702*c_0101_3 + 12362123277600737/1787532189271702, c_0011_6 + 325013243176273/893766094635851*c_0101_3^16 - 281252465773016/893766094635851*c_0101_3^15 - 3041422818175345/893766094635851*c_0101_3^14 - 3526666026197139/893766094635851*c_0101_3^13 + 18339135275650971/893766094635851*c_0101_3^12 + 4476849138592115/893766094635851*c_0101_3^11 - 29397514895653296/893766094635851*c_0101_3^10 - 32507061385910943/893766094635851*c_0101_3^9 + 35755828986862473/893766094635851*c_0101_3^8 + 50216525748289898/893766094635851*c_0101_3^7 - 10261895363322582/893766094635851*c_0101_3^6 - 47711507489853459/893766094635851*c_0101_3^5 - 34719290227600328/893766094635851*c_0101_3^4 + 8447202852130635/893766094635851*c_0101_3^3 + 23413843293763566/893766094635851*c_0101_3^2 + 9741780012067737/893766094635851*c_0101_3 - 103554086327018/893766094635851, c_0101_1 - 2558545426395347/1787532189271702*c_0101_3^16 + 1427137446745181/1787532189271702*c_0101_3^15 + 24787910447066733/1787532189271702*c_0101_3^14 + 17369050459698460/893766094635851*c_0101_3^13 - 68506220151292828/893766094635851*c_0101_3^12 - 79184290201685657/1787532189271702*c_0101_3^11 + 115701966521465366/893766094635851*c_0101_3^10 + 156722325788814231/893766094635851*c_0101_3^9 - 108106836438940107/893766094635851*c_0101_3^8 - 477099401956165135/1787532189271702*c_0101_3^7 - 1648535222210536/893766094635851*c_0101_3^6 + 198411923230357907/893766094635851*c_0101_3^5 + 354230587026507211/1787532189271702*c_0101_3^4 - 2592845503484315/1787532189271702*c_0101_3^3 - 200252252366847681/1787532189271702*c_0101_3^2 - 110865134286279231/1787532189271702*c_0101_3 - 15460908038624321/1787532189271702, c_0101_2 - 2558545426395347/1787532189271702*c_0101_3^16 + 1427137446745181/1787532189271702*c_0101_3^15 + 24787910447066733/1787532189271702*c_0101_3^14 + 17369050459698460/893766094635851*c_0101_3^13 - 68506220151292828/893766094635851*c_0101_3^12 - 79184290201685657/1787532189271702*c_0101_3^11 + 115701966521465366/893766094635851*c_0101_3^10 + 156722325788814231/893766094635851*c_0101_3^9 - 108106836438940107/893766094635851*c_0101_3^8 - 477099401956165135/1787532189271702*c_0101_3^7 - 1648535222210536/893766094635851*c_0101_3^6 + 198411923230357907/893766094635851*c_0101_3^5 + 354230587026507211/1787532189271702*c_0101_3^4 - 2592845503484315/1787532189271702*c_0101_3^3 - 200252252366847681/1787532189271702*c_0101_3^2 - 110865134286279231/1787532189271702*c_0101_3 - 15460908038624321/1787532189271702, c_0101_3^17 - 10*c_0101_3^15 - 19*c_0101_3^14 + 46*c_0101_3^13 + 61*c_0101_3^12 - 73*c_0101_3^11 - 174*c_0101_3^10 + 16*c_0101_3^9 + 235*c_0101_3^8 + 107*c_0101_3^7 - 156*c_0101_3^6 - 227*c_0101_3^5 - 76*c_0101_3^4 + 80*c_0101_3^3 + 88*c_0101_3^2 + 30*c_0101_3 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB