Magma V2.19-8 Wed Aug 21 2013 01:07:35 on localhost [Seed = 3499542980] Type ? for help. Type -D to quit. Loading file "L14n33502__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33502 geometric_solution 11.41582959 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 1 0 -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 -2 -1 3 -2 0 0 2 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.079747727945 0.820160193139 0 5 3 6 0132 0132 2103 0132 1 0 1 1 0 0 1 -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 0 3 -3 2 0 -3 1 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097028666943 1.847432177883 7 0 9 8 0132 0132 0132 0132 0 1 1 1 0 -1 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 2 -2 0 -2 0 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.213551050049 0.436914292890 1 10 11 0 2103 0132 0132 0132 0 0 1 1 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 -1 1 3 0 -3 0 -3 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955205327426 0.851462434942 11 10 0 9 0132 1023 0132 3012 0 0 1 1 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 3 -3 0 0 0 -2 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834974901268 0.609999400196 7 1 7 8 1023 0132 3120 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 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 -0.028350892314 0.539802847786 11 7 1 12 1023 0321 0132 0132 1 0 1 1 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 3 -3 1 0 -1 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 0.762366727544 0.400182207903 2 5 5 6 0132 1023 3120 0321 1 1 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 0 0 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.097028666943 1.847432177883 5 9 2 12 3120 3012 0132 2031 0 1 1 1 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 -3 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971649107686 0.539802847786 8 10 4 2 1230 1230 1230 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 -2 2 -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 0.935386094577 1.449891249804 4 3 9 12 1023 0132 3012 1230 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 0 0 0 0 0 0 0 -3 0 0 3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834974901268 0.609999400196 4 6 12 3 0132 1023 1230 0132 0 0 1 1 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 -1 0 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.955205327426 0.851462434942 10 8 6 11 3012 1302 0132 3012 1 0 0 1 0 -1 1 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 -3 3 0 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605617590310 0.539747039937 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_10'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : negation(d['c_0110_12']), 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : d['c_0101_12'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0110_12'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_0110_12'], 'c_1100_3' : d['c_0110_12'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : d['c_0110_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : d['c_0101_10'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : d['c_0101_11'], '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_0101_0']), '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' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0110_5'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0110_12, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 148/273*c_0110_5^5 - 7901/819*c_0110_5^4 - 6592/273*c_0110_5^3 - 25360/819*c_0110_5^2 - 2115/91*c_0110_5 - 6290/819, c_0011_0 - 1, c_0011_10 - c_0110_5 - 1, c_0011_12 - 2/9*c_0110_5^4 - 11/3*c_0110_5^3 - 46/9*c_0110_5^2 - 17/3*c_0110_5 - 26/9, c_0011_9 + 5/9*c_0110_5^5 + 88/9*c_0110_5^4 + 205/9*c_0110_5^3 + 236/9*c_0110_5^2 + 146/9*c_0110_5 + 31/9, c_0101_0 - 1, c_0101_1 - 4/9*c_0110_5^5 - 67/9*c_0110_5^4 - 107/9*c_0110_5^3 - 98/9*c_0110_5^2 - 49/9*c_0110_5 - 4/9, c_0101_10 - 1/3*c_0110_5^5 - 50/9*c_0110_5^4 - 25/3*c_0110_5^3 - 49/9*c_0110_5^2 + 19/9, c_0101_11 + 2/9*c_0110_5^5 + 35/9*c_0110_5^4 + 79/9*c_0110_5^3 + 94/9*c_0110_5^2 + 50/9*c_0110_5 + 14/9, c_0101_12 + 4/9*c_0110_5^5 + 68/9*c_0110_5^4 + 125/9*c_0110_5^3 + 145/9*c_0110_5^2 + 94/9*c_0110_5 + 23/9, c_0101_5 - 1/9*c_0110_5^5 - 16/9*c_0110_5^4 - 14/9*c_0110_5^3 - 2/9*c_0110_5^2 + 5/9*c_0110_5 + 5/9, c_0101_7 - 1/9*c_0110_5^5 - 16/9*c_0110_5^4 - 14/9*c_0110_5^3 - 2/9*c_0110_5^2 + 5/9*c_0110_5 + 5/9, c_0110_12 - 4/9*c_0110_5^5 - 65/9*c_0110_5^4 - 74/9*c_0110_5^3 - 52/9*c_0110_5^2 + 2/9*c_0110_5 + 22/9, c_0110_5^6 + 18*c_0110_5^5 + 48*c_0110_5^4 + 63*c_0110_5^3 + 48*c_0110_5^2 + 18*c_0110_5 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_7, c_0110_12, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2855973417863374296/18722795264026481*c_0110_12^11 - 1206636476307926424/18722795264026481*c_0110_12^10 + 35981344062011538819/37445590528052962*c_0110_12^9 - 137659786971222511747/149782362112211848*c_0110_12^8 + 85147532185528504979/37445590528052962*c_0110_12^7 - 142482477818280028741/74891181056105924*c_0110_12^6 + 405628870923445780341/149782362112211848*c_0110_12^5 - 253515082369634270845/149782362112211848*c_0110_12^4 + 46837649004536165483/37445590528052962*c_0110_12^3 - 81207688019537226749/149782362112211848*c_0110_12^2 + 5254570162951830099/74891181056105924*c_0110_12 - 578262604221626701/74891181056105924, c_0011_0 - 1, c_0011_10 + 7759013745172928/18722795264026481*c_0110_12^11 - 16843394621039936/18722795264026481*c_0110_12^10 + 59306274010440380/18722795264026481*c_0110_12^9 - 153401201268542535/18722795264026481*c_0110_12^8 + 223597388558243258/18722795264026481*c_0110_12^7 - 433883995170628636/18722795264026481*c_0110_12^6 + 415661306617190198/18722795264026481*c_0110_12^5 - 555149003733401550/18722795264026481*c_0110_12^4 + 315601723856828334/18722795264026481*c_0110_12^3 - 324056953270891877/18722795264026481*c_0110_12^2 + 72048247914470577/18722795264026481*c_0110_12 - 62897282211920308/18722795264026481, c_0011_12 + 37614726651673216/18722795264026481*c_0110_12^11 - 25378081528410816/18722795264026481*c_0110_12^10 + 239914853614041768/18722795264026481*c_0110_12^9 - 281957172183666494/18722795264026481*c_0110_12^8 + 607844824238054081/18722795264026481*c_0110_12^7 - 580504871263054576/18722795264026481*c_0110_12^6 + 741712391106759973/18722795264026481*c_0110_12^5 - 520702613061731691/18722795264026481*c_0110_12^4 + 360578046329828031/18722795264026481*c_0110_12^3 - 181593214011819973/18722795264026481*c_0110_12^2 + 36091544989208361/18722795264026481*c_0110_12 - 18203301021673485/18722795264026481, c_0011_9 - 70792857095986880/18722795264026481*c_0110_12^11 + 20468441277764544/18722795264026481*c_0110_12^10 - 454921508991270540/18722795264026481*c_0110_12^9 + 362456617033337459/18722795264026481*c_0110_12^8 - 1083914523046624880/18722795264026481*c_0110_12^7 + 764983489054206000/18722795264026481*c_0110_12^6 - 1316909794119358732/18722795264026481*c_0110_12^5 + 697578843893132502/18722795264026481*c_0110_12^4 - 681740091869318971/18722795264026481*c_0110_12^3 + 230932974987848785/18722795264026481*c_0110_12^2 - 81481494488487668/18722795264026481*c_0110_12 + 19679183107268649/18722795264026481, c_0101_0 - 1, c_0101_1 + 20771332030633280/18722795264026481*c_0110_12^11 - 16990335220667776/18722795264026481*c_0110_12^10 + 112336619966152884/18722795264026481*c_0110_12^9 - 176078570290468753/18722795264026481*c_0110_12^8 + 231668493797149097/18722795264026481*c_0110_12^7 - 308264084341795219/18722795264026481*c_0110_12^6 + 234814754101152569/18722795264026481*c_0110_12^5 - 283782137964547580/18722795264026481*c_0110_12^4 + 51190478420903721/18722795264026481*c_0110_12^3 - 123244474741170347/18722795264026481*c_0110_12^2 - 6628126881465542/18722795264026481*c_0110_12 - 18445770201210139/18722795264026481, c_0101_10 + 37614726651673216/18722795264026481*c_0110_12^11 - 25378081528410816/18722795264026481*c_0110_12^10 + 239914853614041768/18722795264026481*c_0110_12^9 - 281957172183666494/18722795264026481*c_0110_12^8 + 607844824238054081/18722795264026481*c_0110_12^7 - 580504871263054576/18722795264026481*c_0110_12^6 + 741712391106759973/18722795264026481*c_0110_12^5 - 520702613061731691/18722795264026481*c_0110_12^4 + 360578046329828031/18722795264026481*c_0110_12^3 - 181593214011819973/18722795264026481*c_0110_12^2 + 36091544989208361/18722795264026481*c_0110_12 - 18203301021673485/18722795264026481, c_0101_11 + 70792857095986880/18722795264026481*c_0110_12^11 - 20468441277764544/18722795264026481*c_0110_12^10 + 454921508991270540/18722795264026481*c_0110_12^9 - 362456617033337459/18722795264026481*c_0110_12^8 + 1083914523046624880/18722795264026481*c_0110_12^7 - 764983489054206000/18722795264026481*c_0110_12^6 + 1316909794119358732/18722795264026481*c_0110_12^5 - 697578843893132502/18722795264026481*c_0110_12^4 + 681740091869318971/18722795264026481*c_0110_12^3 - 230932974987848785/18722795264026481*c_0110_12^2 + 81481494488487668/18722795264026481*c_0110_12 - 19679183107268649/18722795264026481, c_0101_12 + 20771332030633280/18722795264026481*c_0110_12^11 - 16990335220667776/18722795264026481*c_0110_12^10 + 112336619966152884/18722795264026481*c_0110_12^9 - 176078570290468753/18722795264026481*c_0110_12^8 + 231668493797149097/18722795264026481*c_0110_12^7 - 308264084341795219/18722795264026481*c_0110_12^6 + 234814754101152569/18722795264026481*c_0110_12^5 - 283782137964547580/18722795264026481*c_0110_12^4 + 51190478420903721/18722795264026481*c_0110_12^3 - 123244474741170347/18722795264026481*c_0110_12^2 - 6628126881465542/18722795264026481*c_0110_12 - 18445770201210139/18722795264026481, c_0101_5 + 196020622773896768/18722795264026481*c_0110_12^11 - 96549564636350464/18722795264026481*c_0110_12^10 + 1237181010629499524/18722795264026481*c_0110_12^9 - 1263776251199990989/18722795264026481*c_0110_12^8 + 2992149450130661387/18722795264026481*c_0110_12^7 - 2619204172627842610/18722795264026481*c_0110_12^6 + 3644686106743199211/18722795264026481*c_0110_12^5 - 2404883801712933946/18722795264026481*c_0110_12^4 + 1788160512964460788/18722795264026481*c_0110_12^3 - 848530947993525823/18722795264026481*c_0110_12^2 + 186528608245628851/18722795264026481*c_0110_12 - 55815621927353779/18722795264026481, c_0101_7 + 151152234400986752/18722795264026481*c_0110_12^11 + 7978592610916992/18722795264026481*c_0110_12^10 + 1004320123979365800/18722795264026481*c_0110_12^9 - 450640894879994746/18722795264026481*c_0110_12^8 + 2329223993565366444/18722795264026481*c_0110_12^7 - 1058592651204236778/18722795264026481*c_0110_12^6 + 2819314254581918630/18722795264026481*c_0110_12^5 - 905204729673190472/18722795264026481*c_0110_12^4 + 1585800393476926798/18722795264026481*c_0110_12^3 - 350061396103891827/18722795264026481*c_0110_12^2 + 276479919314885020/18722795264026481*c_0110_12 - 87072172341751821/18722795264026481, c_0110_12^12 + 105/16*c_0110_12^10 - 213/64*c_0110_12^9 + 971/64*c_0110_12^8 - 119/16*c_0110_12^7 + 1183/64*c_0110_12^6 - 199/32*c_0110_12^5 + 649/64*c_0110_12^4 - 121/64*c_0110_12^3 + 113/64*c_0110_12^2 - 3/16*c_0110_12 + 1/32, c_0110_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.370 Total time: 0.580 seconds, Total memory usage: 32.09MB