Magma V2.19-8 Tue Aug 20 2013 16:19:14 on localhost [Seed = 745386283] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3348 geometric_solution 6.49524070 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 3201 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 -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 0.098439602680 1.000585055993 0 0 5 4 0132 2310 0132 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 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 1.185545468365 0.768115719130 3 0 5 6 2310 0132 1023 0132 0 0 0 0 0 0 1 -1 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 1 -1 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 0.157536465646 0.821873837590 4 6 2 0 3201 1023 3201 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 -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 0.157536465646 0.821873837590 5 5 1 3 1302 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.919188349903 0.851754194656 4 4 2 1 1302 2031 1023 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 0 0 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 0.919188349903 0.851754194656 3 6 2 6 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600319408110 0.532274459368 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(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' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0110_6']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 4031548739480779389206550/14764482061752741334913*c_0110_6^16 + 1670857032535031274035169/14764482061752741334913*c_0110_6^15 - 13026736172608453335380074/14764482061752741334913*c_0110_6^14 + 22311217546423520109458463/14764482061752741334913*c_0110_6^13 + 72726905028927066118232254/14764482061752741334913*c_0110_6^12 + 3812839630860364671902667/1135729389365595487301*c_0110_6^11 - 43480513691136526523268332/14764482061752741334913*c_0110_6^10 - 6003081859242393091647881/14764482061752741334913*c_0110_6^9 + 221648352646780938018352708/14764482061752741334913*c_0110_6^8 + 46757957688028643960590266/14764482061752741334913*c_0110_6^7 - 2731722845920042797185274/509120071094922114997*c_0110_6^6 + 10250568347394315821009471/14764482061752741334913*c_0110_6^5 + 148287531654975468202688756/14764482061752741334913*c_0110_6^4 + 124698024154741309009654061/14764482061752741334913*c_0110_6^3 + 26130950420553150515835875/14764482061752741334913*c_0110_6^2 - 5429340373817597531821908/14764482061752741334913*c_0110_6 - 2681033900176788587645945/14764482061752741334913, c_0011_0 - 1, c_0011_3 + 2539578688367641299060/509120071094922114997*c_0110_6^16 + 602708092770089499760/509120071094922114997*c_0110_6^15 - 8156623751760764562453/509120071094922114997*c_0110_6^14 + 15501411035955608161048/509120071094922114997*c_0110_6^13 + 42548439652874423313430/509120071094922114997*c_0110_6^12 + 1903022119473432250372/39163082391917085769*c_0110_6^11 - 29328958434398907627452/509120071094922114997*c_0110_6^10 + 2298676695089683967629/509120071094922114997*c_0110_6^9 + 136866216671784715624634/509120071094922114997*c_0110_6^8 + 5625401081915186989800/509120071094922114997*c_0110_6^7 - 42519729900693291457976/509120071094922114997*c_0110_6^6 + 12535234292479342038572/509120071094922114997*c_0110_6^5 + 87987879885244611524128/509120071094922114997*c_0110_6^4 + 64472602176437823846967/509120071094922114997*c_0110_6^3 + 10389477052851575616403/509120071094922114997*c_0110_6^2 - 2711132422537079091268/509120071094922114997*c_0110_6 - 1319257183726128702522/509120071094922114997, c_0011_4 - 4097565081558383138718/509120071094922114997*c_0110_6^16 - 1849828768882712160631/509120071094922114997*c_0110_6^15 + 13293942791232575289697/509120071094922114997*c_0110_6^14 - 22184937656229433628086/509120071094922114997*c_0110_6^13 - 75138071973945899230322/509120071094922114997*c_0110_6^12 - 4024165669758361226452/39163082391917085769*c_0110_6^11 + 44103410017971770143863/509120071094922114997*c_0110_6^10 + 8467550887631433259660/509120071094922114997*c_0110_6^9 - 226639348095215102439272/509120071094922114997*c_0110_6^8 - 55542820924432004449911/509120071094922114997*c_0110_6^7 + 84995547053717264237680/509120071094922114997*c_0110_6^6 - 8737290433845333875002/509120071094922114997*c_0110_6^5 - 152774804874162916148796/509120071094922114997*c_0110_6^4 - 131763208929880788924882/509120071094922114997*c_0110_6^3 - 27198114915211543706199/509120071094922114997*c_0110_6^2 + 6527416804675739415593/509120071094922114997*c_0110_6 + 2686234685595674312829/509120071094922114997, c_0011_5 + 4097565081558383138718/509120071094922114997*c_0110_6^16 + 1849828768882712160631/509120071094922114997*c_0110_6^15 - 13293942791232575289697/509120071094922114997*c_0110_6^14 + 22184937656229433628086/509120071094922114997*c_0110_6^13 + 75138071973945899230322/509120071094922114997*c_0110_6^12 + 4024165669758361226452/39163082391917085769*c_0110_6^11 - 44103410017971770143863/509120071094922114997*c_0110_6^10 - 8467550887631433259660/509120071094922114997*c_0110_6^9 + 226639348095215102439272/509120071094922114997*c_0110_6^8 + 55542820924432004449911/509120071094922114997*c_0110_6^7 - 84995547053717264237680/509120071094922114997*c_0110_6^6 + 8737290433845333875002/509120071094922114997*c_0110_6^5 + 152774804874162916148796/509120071094922114997*c_0110_6^4 + 131763208929880788924882/509120071094922114997*c_0110_6^3 + 27198114915211543706199/509120071094922114997*c_0110_6^2 - 6527416804675739415593/509120071094922114997*c_0110_6 - 2686234685595674312829/509120071094922114997, c_0101_1 - 302481095056222105932/509120071094922114997*c_0110_6^16 - 474167940038145815998/509120071094922114997*c_0110_6^15 + 926581518391277920890/509120071094922114997*c_0110_6^14 - 546423013487605436236/509120071094922114997*c_0110_6^13 - 7690625158279283770709/509120071094922114997*c_0110_6^12 - 719752175696370836099/39163082391917085769*c_0110_6^11 + 401942452138868085611/509120071094922114997*c_0110_6^10 + 4743319970975886087465/509120071094922114997*c_0110_6^9 - 17293398454396880502105/509120071094922114997*c_0110_6^8 - 22137532653656638372075/509120071094922114997*c_0110_6^7 + 6961839593376254503510/509120071094922114997*c_0110_6^6 + 4899963000627816051093/509120071094922114997*c_0110_6^5 - 13465921526082664876132/509120071094922114997*c_0110_6^4 - 20816879836157240034865/509120071094922114997*c_0110_6^3 - 9731386619977432731148/509120071094922114997*c_0110_6^2 - 632031636016281110409/509120071094922114997*c_0110_6 + 696533568624944024453/509120071094922114997, c_0101_2 + 22630006053411127494/509120071094922114997*c_0110_6^16 - 574240032610541417255/509120071094922114997*c_0110_6^15 - 104557136358898616278/509120071094922114997*c_0110_6^14 + 2081703748535321560989/509120071094922114997*c_0110_6^13 - 3535573409612309667126/509120071094922114997*c_0110_6^12 - 694359945289556987028/39163082391917085769*c_0110_6^11 - 3630391713331229334441/509120071094922114997*c_0110_6^10 + 8331658375339855531195/509120071094922114997*c_0110_6^9 - 714079013764061591924/509120071094922114997*c_0110_6^8 - 32051151685016750654804/509120071094922114997*c_0110_6^7 + 4645777525300060860687/509120071094922114997*c_0110_6^6 + 12718321504261292528144/509120071094922114997*c_0110_6^5 - 6486746808235632490117/509120071094922114997*c_0110_6^4 - 19087013985297141801949/509120071094922114997*c_0110_6^3 - 10134768972124769833733/509120071094922114997*c_0110_6^2 + 1470510823364748513917/509120071094922114997*c_0110_6 + 832697008747695464569/509120071094922114997, c_0110_6^17 + 1/6*c_0110_6^16 - 10/3*c_0110_6^15 + 19/3*c_0110_6^14 + 50/3*c_0110_6^13 + 47/6*c_0110_6^12 - 83/6*c_0110_6^11 + 7/6*c_0110_6^10 + 166/3*c_0110_6^9 - 2*c_0110_6^8 - 45/2*c_0110_6^7 + 22/3*c_0110_6^6 + 217/6*c_0110_6^5 + 131/6*c_0110_6^4 - 7/6*c_0110_6^3 - 3*c_0110_6^2 - 1/3*c_0110_6 + 1/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB