Magma V2.19-8 Tue Aug 20 2013 16:16:54 on localhost [Seed = 1225315732] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1152 geometric_solution 5.02949448 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 -1 0 1 1 0 0 -1 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 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 1.392689847821 1.269474053569 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 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 0.349420960036 0.141769834669 3 1 4 5 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0.777609815024 0.718935238998 4 5 2 1 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777609815024 0.718935238998 3 4 4 2 0132 3201 2310 0132 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.222390184976 0.718935238998 6 3 2 6 0132 0132 0132 1023 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 -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 1.015345100816 0.343426443361 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.147669549297 0.230770532998 ==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' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_1'], 'c_0101_2' : d['c_0011_1'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_1001_1'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0101_0, c_0101_5, c_0101_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 72780061124224020233/51182995171714108625*c_1001_1^17 + 145192382019190004001/20473198068685643450*c_1001_1^15 + 2041984454268401137649/51182995171714108625*c_1001_1^13 - 29930014703894514836771/102365990343428217250*c_1001_1^11 + 5719904048508253755273/51182995171714108625*c_1001_1^9 + 17531081617026209801628/51182995171714108625*c_1001_1^7 - 56490036921653343918938/3937153474747239125*c_1001_1^5 + 2287154485293231135618999/102365990343428217250*c_1001_1^3 - 445344438482818995286981/51182995171714108625*c_1001_1, c_0011_0 - 1, c_0011_1 - 66325427159/141048557138723*c_1001_1^16 + 269741192204/141048557138723*c_1001_1^14 + 2076646832778/141048557138723*c_1001_1^12 - 11395031507555/141048557138723*c_1001_1^10 - 5912510423945/141048557138723*c_1001_1^8 + 7547050458656/141048557138723*c_1001_1^6 - 49373164546979/10849889010671*c_1001_1^4 + 313450160662100/141048557138723*c_1001_1^2 + 133383748399802/141048557138723, c_0011_3 + 1203987575358231/2047319806868564345*c_1001_1^17 - 1134032430731583/409463961373712869*c_1001_1^15 - 34700909236969358/2047319806868564345*c_1001_1^13 + 234817159176567466/2047319806868564345*c_1001_1^11 - 45112496777117651/2047319806868564345*c_1001_1^9 - 199718460283366146/2047319806868564345*c_1001_1^7 + 931081083356475646/157486138989889565*c_1001_1^5 - 15301285873892887614/2047319806868564345*c_1001_1^3 + 6930955948905660502/2047319806868564345*c_1001_1, c_0101_0 + 410649132625/141048557138723*c_1001_1^17 - 2104294517926/141048557138723*c_1001_1^15 - 11293207398796/141048557138723*c_1001_1^13 + 86309406538167/141048557138723*c_1001_1^11 - 42944089455311/141048557138723*c_1001_1^9 - 102159305897565/141048557138723*c_1001_1^7 + 320168258723939/10849889010671*c_1001_1^5 - 7064949281346535/141048557138723*c_1001_1^3 + 3132160763374899/141048557138723*c_1001_1, c_0101_5 - 1485805979187956/2047319806868564345*c_1001_1^17 + 1018065515328948/409463961373712869*c_1001_1^15 + 51143248745332843/2047319806868564345*c_1001_1^13 - 230916472986792006/2047319806868564345*c_1001_1^11 - 298766377741956664/2047319806868564345*c_1001_1^9 + 166757583605349176/2047319806868564345*c_1001_1^7 - 1115358274618112756/157486138989889565*c_1001_1^5 - 328653967415802706/2047319806868564345*c_1001_1^3 + 8513048610868252253/2047319806868564345*c_1001_1, c_0101_6 - 4278004620255207/2047319806868564345*c_1001_1^17 + 3909669863705354/409463961373712869*c_1001_1^15 + 127729216553248331/2047319806868564345*c_1001_1^13 - 825432952279667782/2047319806868564345*c_1001_1^11 + 16734465798966922/2047319806868564345*c_1001_1^9 + 944309170530537992/2047319806868564345*c_1001_1^7 - 3309661515628072882/157486138989889565*c_1001_1^5 + 50168067281813620878/2047319806868564345*c_1001_1^3 - 12538384295057268729/2047319806868564345*c_1001_1, c_1001_1^18 - 5*c_1001_1^16 - 28*c_1001_1^14 + 206*c_1001_1^12 - 81*c_1001_1^10 - 241*c_1001_1^8 + 10093*c_1001_1^6 - 15839*c_1001_1^4 + 6257*c_1001_1^2 - 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB