Magma V2.19-8 Tue Aug 20 2013 16:19:10 on localhost [Seed = 1444399919] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3295 geometric_solution 6.42391206 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492538533022 0.518582290661 0 0 2 4 0132 0321 1302 0132 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 1 -2 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 1.665158889469 1.305393246953 1 0 3 5 2031 0132 3120 0132 0 0 0 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 2 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 0.318165102496 0.899743427272 6 4 2 0 0132 3120 3120 0132 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 0 1 -1 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 0.812040253283 0.760637103391 5 3 1 5 1230 3120 0132 3120 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356187629433 0.575124850074 4 4 2 6 3120 3012 0132 0321 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364083107136 0.527834543411 3 5 6 6 0132 0321 2031 1302 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 0.424126214994 0.601128658284 ==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_0101_0'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(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' : negation(d['c_0011_4']), 'c_1001_4' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_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_3, c_0011_4, c_0101_0, c_0101_2, c_0101_3, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 5782135327631498529/16975705929696226*c_1001_2^14 + 33288409121877891003/16975705929696226*c_1001_2^13 - 60081472067710449025/16975705929696226*c_1001_2^12 - 71880843501921879029/16975705929696226*c_1001_2^11 + 11265195889735300205/16975705929696226*c_1001_2^10 + 108093113959267595403/8487852964848113*c_1001_2^9 - 188935152434436041/8487852964848113*c_1001_2^8 - 16239527095202383964/8487852964848113*c_1001_2^7 + 27364452773757469219/8487852964848113*c_1001_2^6 - 290599631417261475382/8487852964848113*c_1001_2^5 - 131016522131784756923/16975705929696226*c_1001_2^4 + 756428659610941870529/16975705929696226*c_1001_2^3 - 480400022337533715729/16975705929696226*c_1001_2^2 + 476888956475816043445/16975705929696226*c_1001_2 + 11349835604188101692/8487852964848113, c_0011_0 - 1, c_0011_3 + 514698924378795/8487852964848113*c_1001_2^14 + 3527223089467923/8487852964848113*c_1001_2^13 - 1477688490470333/8487852964848113*c_1001_2^12 - 7806324687854998/8487852964848113*c_1001_2^11 - 6292540991404266/8487852964848113*c_1001_2^10 + 12330035899424807/8487852964848113*c_1001_2^9 + 11231965230495047/8487852964848113*c_1001_2^8 + 4925366638299681/8487852964848113*c_1001_2^7 + 12928322153801675/8487852964848113*c_1001_2^6 - 32299057072032645/8487852964848113*c_1001_2^5 - 38601352130987488/8487852964848113*c_1001_2^4 + 25094867949481779/8487852964848113*c_1001_2^3 - 26196486078264664/8487852964848113*c_1001_2^2 + 4306825506559881/8487852964848113*c_1001_2 + 5325503166559860/8487852964848113, c_0011_4 - 222145579570710/8487852964848113*c_1001_2^14 - 897824814816578/8487852964848113*c_1001_2^13 + 5069859229947192/8487852964848113*c_1001_2^12 + 2819255632414630/8487852964848113*c_1001_2^11 - 5741973181060871/8487852964848113*c_1001_2^10 - 15164259542663842/8487852964848113*c_1001_2^9 + 5793468431498831/8487852964848113*c_1001_2^8 + 10214156074657832/8487852964848113*c_1001_2^7 + 6793540742401778/8487852964848113*c_1001_2^6 + 38779798581455690/8487852964848113*c_1001_2^5 - 8912615869116436/8487852964848113*c_1001_2^4 - 62738761517321628/8487852964848113*c_1001_2^3 + 16214529221668297/8487852964848113*c_1001_2^2 - 42202291562555351/8487852964848113*c_1001_2 - 8732855973949740/8487852964848113, c_0101_0 - 143553558232871/8487852964848113*c_1001_2^14 - 1611394986691912/8487852964848113*c_1001_2^13 - 4259927599696919/8487852964848113*c_1001_2^12 + 1237877036315808/8487852964848113*c_1001_2^11 + 10884193542805823/8487852964848113*c_1001_2^10 + 9871203961448126/8487852964848113*c_1001_2^9 - 9894972632999780/8487852964848113*c_1001_2^8 - 20049879914893669/8487852964848113*c_1001_2^7 - 22324998526608708/8487852964848113*c_1001_2^6 - 19062508088339994/8487852964848113*c_1001_2^5 + 34420001559782241/8487852964848113*c_1001_2^4 + 59536245356905486/8487852964848113*c_1001_2^3 + 13662339818301622/8487852964848113*c_1001_2^2 + 34070603977586975/8487852964848113*c_1001_2 + 10572435124075190/8487852964848113, c_0101_2 + 972219216865396/8487852964848113*c_1001_2^14 + 6449734438609336/8487852964848113*c_1001_2^13 - 4154432892769935/8487852964848113*c_1001_2^12 - 13559895616987582/8487852964848113*c_1001_2^11 - 9584265993236353/8487852964848113*c_1001_2^10 + 23767250151567783/8487852964848113*c_1001_2^9 + 15117732832792064/8487852964848113*c_1001_2^8 + 10962413986087908/8487852964848113*c_1001_2^7 + 26337216052759574/8487852964848113*c_1001_2^6 - 66452782904292994/8487852964848113*c_1001_2^5 - 68711377825130796/8487852964848113*c_1001_2^4 + 56397653168896427/8487852964848113*c_1001_2^3 - 59041900251460403/8487852964848113*c_1001_2^2 + 28184571040891257/8487852964848113*c_1001_2 + 8589302415716869/8487852964848113, c_0101_3 + 424026296967672/8487852964848113*c_1001_2^14 + 3506252803375849/8487852964848113*c_1001_2^13 + 3258659625826888/8487852964848113*c_1001_2^12 - 5454636704753920/8487852964848113*c_1001_2^11 - 13684353404801311/8487852964848113*c_1001_2^10 - 2620895421058271/8487852964848113*c_1001_2^9 + 14660192674010863/8487852964848113*c_1001_2^8 + 20235071861978916/8487852964848113*c_1001_2^7 + 29835489423037118/8487852964848113*c_1001_2^6 + 2474854263513032/8487852964848113*c_1001_2^5 - 56567492257844242/8487852964848113*c_1001_2^4 - 41854488328953342/8487852964848113*c_1001_2^3 - 22459337227686794/8487852964848113*c_1001_2^2 - 32263299005923125/8487852964848113*c_1001_2 - 7418436189585879/8487852964848113, c_1001_2^15 + 6*c_1001_2^14 - 9*c_1001_2^13 - 15*c_1001_2^12 - c_1001_2^11 + 38*c_1001_2^10 + 9*c_1001_2^9 - 6*c_1001_2^8 + 8*c_1001_2^7 - 98*c_1001_2^6 - 47*c_1001_2^5 + 126*c_1001_2^4 - 51*c_1001_2^3 + 61*c_1001_2^2 + 24*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB