Magma V2.19-8 Tue Aug 20 2013 16:18:29 on localhost [Seed = 2699115920] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2681 geometric_solution 5.94141405 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 1 0 0 -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 -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 0.750496522825 0.831435450232 0 4 3 5 0132 2031 0213 0132 0 0 0 0 0 0 0 0 -1 0 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 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 0.401770735247 0.662746599025 3 0 5 5 0132 0132 2103 0213 0 0 0 0 0 1 -1 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 1 -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 0 0 0 0 0.956843251580 0.959887714345 2 1 5 0 0132 0213 3012 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.401770735247 0.662746599025 1 6 0 6 1302 0132 0132 1023 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0.622182518543 1.537833980707 2 3 1 2 2103 1230 0132 0213 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 0 0 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030251123483 0.689677624091 6 4 6 4 2310 0132 3201 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526625424369 0.241127381717 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_1_2' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_5']})} 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_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1/7776*c_1001_0^3 + 23/7776*c_1001_0, c_0011_0 - 1, c_0011_4 - c_1001_0, c_0011_5 - 1/3*c_1001_0^2 + 3, c_0101_0 - 1/9*c_1001_0^3 + 2*c_1001_0, c_0101_3 - 3, c_0101_6 + 3, c_1001_0^4 - 27*c_1001_0^2 + 108 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_3, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 4101746211/2143536283648*c_1001_0^13 - 9349158585/1071768141824*c_1001_0^11 - 285103074013/2143536283648*c_1001_0^9 - 85043658637/2143536283648*c_1001_0^7 + 788614680973/535884070912*c_1001_0^5 + 383031235905/133971017728*c_1001_0^3 + 138882740331/33492754432*c_1001_0, c_0011_0 - 1, c_0011_4 - 79445/1046648576*c_1001_0^13 + 422395/523324288*c_1001_0^11 + 4684747/1046648576*c_1001_0^9 - 46051597/1046648576*c_1001_0^7 - 23484489/261662144*c_1001_0^5 + 12349591/32707768*c_1001_0^3 + 4957207/8176942*c_1001_0, c_0011_5 - 327663/523324288*c_1001_0^12 + 1237275/261662144*c_1001_0^10 + 15181273/523324288*c_1001_0^8 - 39359075/523324288*c_1001_0^6 - 18466803/65415536*c_1001_0^4 + 5986659/32707768*c_1001_0^2 - 343502/4088471, c_0101_0 + 227607/1046648576*c_1001_0^13 - 741319/523324288*c_1001_0^11 - 15351281/1046648576*c_1001_0^9 + 32620739/1046648576*c_1001_0^7 + 9222147/32707768*c_1001_0^5 - 888513/16353884*c_1001_0^3 - 12557817/16353884*c_1001_0, c_0101_3 - 79445/523324288*c_1001_0^12 + 422395/261662144*c_1001_0^10 + 4684747/523324288*c_1001_0^8 - 46051597/523324288*c_1001_0^6 - 23484489/130831072*c_1001_0^4 + 12349591/16353884*c_1001_0^2 + 868736/4088471, c_0101_6 - 34909/1046648576*c_1001_0^12 + 861313/523324288*c_1001_0^10 - 12857893/1046648576*c_1001_0^8 - 37140729/1046648576*c_1001_0^6 + 23423371/130831072*c_1001_0^4 - 2293265/65415536*c_1001_0^2 + 2709358/4088471, c_1001_0^14 - 6*c_1001_0^12 - 63*c_1001_0^10 + 81*c_1001_0^8 + 796*c_1001_0^6 + 304*c_1001_0^4 + 64*c_1001_0^2 - 2048 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB