Magma V2.19-8 Tue Aug 20 2013 17:58:28 on localhost [Seed = 1393747959] Type ? for help. Type -D to quit. Loading file "10^2_113__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_113 geometric_solution 12.51308208 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 1 2 3 0132 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 1 1 -2 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 0.116121276938 1.020872790597 0 2 4 0 0132 3012 0132 0321 0 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 0 0 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 0.484736012964 0.559866182255 1 3 5 0 1230 0132 0132 0132 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 1 -1 -1 0 0 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 0.267721789973 0.403160762763 6 2 0 7 0132 0132 0132 0132 0 1 0 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 0 0 0 0 2 -2 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 0.676192431479 0.941296123600 8 6 5 1 0132 3120 2103 0132 0 1 1 1 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 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.144818380560 0.783782686526 4 7 9 2 2103 0132 0132 0132 0 1 0 1 0 1 0 -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 0 1 0 -1 0 0 0 0 0 1 0 -1 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.890001816552 0.967042005205 3 4 9 10 0132 3120 2310 0132 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 0 0 0 0 0 0 0 0 0 0 2 -3 1 -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 0.577937555731 1.256494413842 11 5 3 11 0132 0132 0132 2031 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 0 0 0 0 -1 2 -1 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749791621801 0.780796367647 4 12 10 9 0132 0132 2103 3120 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 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 0.476626304240 1.473519351078 8 6 11 5 3120 3201 2031 0132 0 1 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 0 0 0 0 0 0 0 0 0 0 0 3 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.481432335315 0.504667760669 8 12 6 13 2103 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.501888998023 0.353777080689 7 7 13 9 0132 1302 1302 1302 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 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 0.360153488302 0.666304900801 10 8 13 13 1230 0132 1230 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 0.184802292806 0.591817479232 11 12 10 12 2031 2310 0132 3012 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 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 0.519244585868 1.539588351414 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_13']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_0011_10'], 'c_1010_13' : negation(d['c_0011_10']), 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_13']), 'c_0101_10' : d['c_0101_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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_11']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_1010_11']), 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_1010_11']), 'c_1100_3' : negation(d['c_1010_11']), 'c_1100_2' : negation(d['c_1010_11']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_11']), 'c_1100_11' : d['c_0101_13'], 'c_1100_10' : d['c_0011_9'], 'c_1100_13' : d['c_0011_9'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : d['c_1001_2'], 's_0_13' : d['1'], 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : negation(d['c_0101_13']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_13']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_13'], 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_2']), 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_13'], 'c_0101_8' : d['c_0101_1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : negation(d['c_0011_13']), 'c_0110_6' : d['c_0101_1'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_2, c_0011_9, c_0101_1, c_0101_13, c_0101_2, c_0101_4, c_0101_6, c_1001_2, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 7042273/29160*c_1010_11^17 + 7622207/29160*c_1010_11^16 + 12398087/29160*c_1010_11^15 - 5348308/3645*c_1010_11^14 + 14662211/29160*c_1010_11^13 + 1563797/1215*c_1010_11^12 - 7241171/5832*c_1010_11^11 + 330263/2430*c_1010_11^10 - 4551821/4860*c_1010_11^9 + 1111384/729*c_1010_11^8 + 889250/729*c_1010_11^7 - 2192207/972*c_1010_11^6 + 3765349/5832*c_1010_11^5 + 1781278/3645*c_1010_11^4 + 669161/1944*c_1010_11^3 + 2767822/3645*c_1010_11^2 - 21231043/14580*c_1010_11 + 21548233/29160, c_0011_0 - 1, c_0011_10 + 1/8*c_1010_11^17 - 1/8*c_1010_11^15 + 5/8*c_1010_11^14 + 1/4*c_1010_11^13 + 7/8*c_1010_11^11 + 5/8*c_1010_11^10 + 11/8*c_1010_11^9 + 7/8*c_1010_11^8 + 7/8*c_1010_11^7 + 9/8*c_1010_11^6 + 3/2*c_1010_11^5 + 7/4*c_1010_11^4 - 1/8*c_1010_11^3 + 5/8*c_1010_11^2 + 3/8*c_1010_11 + 3/4, c_0011_11 - 1/2*c_1010_11^17 - c_1010_11^16 + 1/2*c_1010_11^15 - 1/2*c_1010_11^14 - 5*c_1010_11^13 - 2*c_1010_11^12 + 1/2*c_1010_11^11 - 9/2*c_1010_11^10 - 11/2*c_1010_11^9 - 11/2*c_1010_11^8 - 3/2*c_1010_11^7 - 1/2*c_1010_11^6 - 6*c_1010_11^5 - 3*c_1010_11^4 - 3/2*c_1010_11^3 - 1/2*c_1010_11^2 + 1/2*c_1010_11 - 2, c_0011_12 - 7/8*c_1010_11^17 + 1/2*c_1010_11^16 + 11/8*c_1010_11^15 - 35/8*c_1010_11^14 - 1/4*c_1010_11^13 + 5/2*c_1010_11^12 - 21/8*c_1010_11^11 - 11/8*c_1010_11^10 - 49/8*c_1010_11^9 + 23/8*c_1010_11^8 + 19/8*c_1010_11^7 - 55/8*c_1010_11^6 - c_1010_11^5 - 3/4*c_1010_11^4 + 3/8*c_1010_11^3 + 13/8*c_1010_11^2 - 33/8*c_1010_11 + 7/4, c_0011_13 - 7/8*c_1010_11^17 + 1/2*c_1010_11^16 + 11/8*c_1010_11^15 - 35/8*c_1010_11^14 - 1/4*c_1010_11^13 + 5/2*c_1010_11^12 - 21/8*c_1010_11^11 - 11/8*c_1010_11^10 - 49/8*c_1010_11^9 + 23/8*c_1010_11^8 + 19/8*c_1010_11^7 - 55/8*c_1010_11^6 - c_1010_11^5 - 3/4*c_1010_11^4 + 3/8*c_1010_11^3 + 13/8*c_1010_11^2 - 33/8*c_1010_11 + 7/4, c_0011_2 - c_1010_11, c_0011_9 - 11/8*c_1010_11^17 + 1/2*c_1010_11^16 + 15/8*c_1010_11^15 - 55/8*c_1010_11^14 - 1/4*c_1010_11^13 + 7/2*c_1010_11^12 - 57/8*c_1010_11^11 - 7/8*c_1010_11^10 - 53/8*c_1010_11^9 + 3/8*c_1010_11^8 + 23/8*c_1010_11^7 - 75/8*c_1010_11^6 - 3/4*c_1010_11^4 - 9/8*c_1010_11^3 + 25/8*c_1010_11^2 - 37/8*c_1010_11 + 7/4, c_0101_1 - c_1010_11 + 1, c_0101_13 + 1/8*c_1010_11^17 - 1/8*c_1010_11^15 + 5/8*c_1010_11^14 + 1/4*c_1010_11^13 + 7/8*c_1010_11^11 + 5/8*c_1010_11^10 + 11/8*c_1010_11^9 + 7/8*c_1010_11^8 + 7/8*c_1010_11^7 + 17/8*c_1010_11^6 + 3/2*c_1010_11^5 + 3/4*c_1010_11^4 + 15/8*c_1010_11^3 + 5/8*c_1010_11^2 + 3/8*c_1010_11 + 3/4, c_0101_2 + 1, c_0101_4 + 19/8*c_1010_11^17 - 1/2*c_1010_11^16 - 31/8*c_1010_11^15 + 87/8*c_1010_11^14 + 13/4*c_1010_11^13 - 13/2*c_1010_11^12 + 65/8*c_1010_11^11 + 31/8*c_1010_11^10 + 109/8*c_1010_11^9 - 11/8*c_1010_11^8 - 55/8*c_1010_11^7 + 123/8*c_1010_11^6 + 3*c_1010_11^5 + 7/4*c_1010_11^4 + 9/8*c_1010_11^3 - 41/8*c_1010_11^2 + 69/8*c_1010_11 - 11/4, c_0101_6 + c_1010_11^3 - c_1010_11 + 1, c_1001_2 + c_1010_11^2 - 1, c_1010_11^18 - c_1010_11^17 - c_1010_11^16 + 6*c_1010_11^15 - 3*c_1010_11^14 - 2*c_1010_11^13 + 7*c_1010_11^12 - 2*c_1010_11^11 + 6*c_1010_11^10 - 4*c_1010_11^9 + 10*c_1010_11^7 - 5*c_1010_11^6 + 2*c_1010_11^5 + c_1010_11^4 - 2*c_1010_11^3 + 6*c_1010_11^2 - 5*c_1010_11 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.740 Total time: 0.950 seconds, Total memory usage: 32.09MB