Magma V2.19-8 Tue Aug 20 2013 23:39:24 on localhost [Seed = 1124411163] Type ? for help. Type -D to quit. Loading file "K11n65__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n65 geometric_solution 11.41674536 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 0 0 0 0 0 -1 1 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 1 0 -1 -1 0 0 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248589897919 0.773404346829 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 0 0 0 -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 0 0 0 1 0 0 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646223398506 0.665138762499 6 7 5 0 0132 0132 1302 0132 0 0 0 0 0 1 0 -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 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 -0.057119574477 0.968043333830 7 8 0 9 3012 0132 0132 0132 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 -1 1 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 0.517494840474 0.773463706278 10 1 10 6 0132 0132 3012 2103 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 0 0 0 0 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 0.930123716043 1.133962331214 2 11 9 1 2031 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733373534712 0.570024521905 2 11 7 4 0132 3201 1023 2103 0 0 0 0 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 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 0.426336759623 1.092483990413 8 2 6 3 2310 0132 1023 1230 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 0 0 0 1 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 -0.064897518309 1.616216225117 10 3 7 11 3012 0132 3201 1023 0 0 0 0 0 0 0 0 -1 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 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 0.443787398413 0.521006889699 10 11 3 5 2103 1023 0132 1302 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 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 0.246746322509 0.822154239202 4 4 9 8 0132 1230 2103 1230 0 0 0 0 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 -1 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 0.054136050571 0.878527572333 9 5 6 8 1023 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443426023726 0.659034684474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0110_11'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : negation(d['1']), 's_3_10' : 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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0110_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : negation(d['c_0011_2']), 'c_1100_10' : d['c_0110_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_11'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : d['c_0110_11'], 'c_1100_8' : d['c_0011_2'], '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'], '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_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0110_8']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0011_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_11, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 2351463796/1805611021*c_1001_1^9 - 23227307838/1805611021*c_1001_1^8 + 67927144261/1805611021*c_1001_1^7 - 11837805679/106212413*c_1001_1^6 + 18599445361/78504827*c_1001_1^5 - 677546538623/1805611021*c_1001_1^4 + 24236745174/62262449*c_1001_1^3 - 801495866663/1805611021*c_1001_1^2 + 517790519363/1805611021*c_1001_1 - 17488982476/106212413, c_0011_0 - 1, c_0011_11 - 1/17*c_1001_1^9 + 3/17*c_1001_1^8 - 10/17*c_1001_1^7 + 22/17*c_1001_1^6 - 40/17*c_1001_1^5 + 56/17*c_1001_1^4 - 73/17*c_1001_1^3 + 65/17*c_1001_1^2 - 60/17*c_1001_1 + 32/17, c_0011_2 - 124/9367*c_1001_1^9 + 1664/9367*c_1001_1^8 - 6714/9367*c_1001_1^7 + 18708/9367*c_1001_1^6 - 39708/9367*c_1001_1^5 + 65016/9367*c_1001_1^4 - 2715/323*c_1001_1^3 + 71164/9367*c_1001_1^2 - 48036/9367*c_1001_1 + 21682/9367, c_0011_3 + 453/9367*c_1001_1^9 - 1308/9367*c_1001_1^8 + 4768/9367*c_1001_1^7 - 9932/9367*c_1001_1^6 + 18409/9367*c_1001_1^5 - 23906/9367*c_1001_1^4 + 992/323*c_1001_1^3 - 17120/9367*c_1001_1^2 + 17949/9367*c_1001_1 + 7026/9367, c_0101_0 - 18/493*c_1001_1^9 + 1536/9367*c_1001_1^8 - 3998/9367*c_1001_1^7 + 9343/9367*c_1001_1^6 - 15720/9367*c_1001_1^5 + 17503/9367*c_1001_1^4 - 593/323*c_1001_1^3 + 12370/9367*c_1001_1^2 + 560/9367*c_1001_1 + 863/9367, c_0101_1 - 1164/9367*c_1001_1^9 + 4138/9367*c_1001_1^8 - 14377/9367*c_1001_1^7 + 33598/9367*c_1001_1^6 - 63934/9367*c_1001_1^5 + 94220/9367*c_1001_1^4 - 3970/323*c_1001_1^3 + 97845/9367*c_1001_1^2 - 71404/9367*c_1001_1 + 27371/9367, c_0101_10 - 500/9367*c_1001_1^9 + 1891/9367*c_1001_1^8 - 5476/9367*c_1001_1^7 + 12411/9367*c_1001_1^6 - 20578/9367*c_1001_1^5 + 26555/9367*c_1001_1^4 - 962/323*c_1001_1^3 + 26584/9367*c_1001_1^2 - 11538/9367*c_1001_1 + 9931/9367, c_0101_11 - 940/9367*c_1001_1^9 + 3772/9367*c_1001_1^8 - 10216/9367*c_1001_1^7 + 23944/9367*c_1001_1^6 - 39929/9367*c_1001_1^5 + 51008/9367*c_1001_1^4 - 1950/323*c_1001_1^3 + 48282/9367*c_1001_1^2 - 26089/9367*c_1001_1 + 16718/9367, c_0101_5 + 1000/9367*c_1001_1^9 - 3782/9367*c_1001_1^8 + 10952/9367*c_1001_1^7 - 24822/9367*c_1001_1^6 + 41156/9367*c_1001_1^5 - 53110/9367*c_1001_1^4 + 1924/323*c_1001_1^3 - 43801/9367*c_1001_1^2 + 23076/9367*c_1001_1 - 10495/9367, c_0110_11 - 1674/9367*c_1001_1^9 + 4716/9367*c_1001_1^8 - 16196/9367*c_1001_1^7 + 35638/9367*c_1001_1^6 - 62285/9367*c_1001_1^5 + 86451/9367*c_1001_1^4 - 3630/323*c_1001_1^3 + 76765/9367*c_1001_1^2 - 61323/9367*c_1001_1 + 21557/9367, c_0110_8 + 602/9367*c_1001_1^9 - 1415/9367*c_1001_1^8 + 5544/9367*c_1001_1^7 - 11833/9367*c_1001_1^6 + 23502/9367*c_1001_1^5 - 35157/9367*c_1001_1^4 + 1812/323*c_1001_1^3 - 45046/9367*c_1001_1^2 + 45215/9367*c_1001_1 - 25333/9367, c_1001_1^10 - 3*c_1001_1^9 + 10*c_1001_1^8 - 22*c_1001_1^7 + 40*c_1001_1^6 - 56*c_1001_1^5 + 73*c_1001_1^4 - 65*c_1001_1^3 + 60*c_1001_1^2 - 32*c_1001_1 + 17 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_11, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 190623/8192*c_1001_1^12 + 41601/4096*c_1001_1^11 + 116203/512*c_1001_1^10 + 1430531/8192*c_1001_1^9 + 3504983/4096*c_1001_1^8 + 6916061/8192*c_1001_1^7 + 13265679/8192*c_1001_1^6 + 11590447/8192*c_1001_1^5 + 6369207/4096*c_1001_1^4 + 4459545/8192*c_1001_1^3 + 2833625/8192*c_1001_1^2 - 130873/4096*c_1001_1 + 338037/8192, c_0011_0 - 1, c_0011_11 + 1/8*c_1001_1^11 + 1/8*c_1001_1^10 + 9/8*c_1001_1^9 + 3/2*c_1001_1^8 + 4*c_1001_1^7 + 45/8*c_1001_1^6 + 29/4*c_1001_1^5 + 55/8*c_1001_1^4 + 43/8*c_1001_1^3 + 3/4*c_1001_1^2 - 15/8*c_1001_1 + 1/8, c_0011_2 - 7/64*c_1001_1^12 - 11/32*c_1001_1^11 - 19/16*c_1001_1^10 - 231/64*c_1001_1^9 - 199/32*c_1001_1^8 - 909/64*c_1001_1^7 - 1179/64*c_1001_1^6 - 1663/64*c_1001_1^5 - 837/32*c_1001_1^4 - 1413/64*c_1001_1^3 - 705/64*c_1001_1^2 - 165/32*c_1001_1 - 65/64, c_0011_3 - 1, c_0101_0 + 1/32*c_1001_1^12 + 7/16*c_1001_1^11 + 3/4*c_1001_1^10 + 141/32*c_1001_1^9 + 109/16*c_1001_1^8 + 571/32*c_1001_1^7 + 841/32*c_1001_1^6 + 1201/32*c_1001_1^5 + 673/16*c_1001_1^4 + 1231/32*c_1001_1^3 + 679/32*c_1001_1^2 + 105/16*c_1001_1 + 19/32, c_0101_1 + 7/64*c_1001_1^12 + 3/32*c_1001_1^11 + 15/16*c_1001_1^10 + 71/64*c_1001_1^9 + 95/32*c_1001_1^8 + 237/64*c_1001_1^7 + 251/64*c_1001_1^6 + 127/64*c_1001_1^5 - 35/32*c_1001_1^4 - 427/64*c_1001_1^3 - 559/64*c_1001_1^2 - 187/32*c_1001_1 - 63/64, c_0101_10 + 1/8*c_1001_1^11 + 1/8*c_1001_1^10 + 9/8*c_1001_1^9 + 3/2*c_1001_1^8 + 4*c_1001_1^7 + 45/8*c_1001_1^6 + 29/4*c_1001_1^5 + 55/8*c_1001_1^4 + 43/8*c_1001_1^3 + 3/4*c_1001_1^2 - 23/8*c_1001_1 + 1/8, c_0101_11 - 1/16*c_1001_1^12 - 1/4*c_1001_1^11 - 5/8*c_1001_1^10 - 43/16*c_1001_1^9 - 27/8*c_1001_1^8 - 167/16*c_1001_1^7 - 179/16*c_1001_1^6 - 293/16*c_1001_1^5 - 69/4*c_1001_1^4 - 245/16*c_1001_1^3 - 107/16*c_1001_1^2 - 9/2*c_1001_1 - 21/16, c_0101_5 - 17/32*c_1001_1^12 - 7/16*c_1001_1^11 - 21/4*c_1001_1^10 - 197/32*c_1001_1^9 - 337/16*c_1001_1^8 - 907/32*c_1001_1^7 - 1457/32*c_1001_1^6 - 1665/32*c_1001_1^5 - 849/16*c_1001_1^4 - 1119/32*c_1001_1^3 - 623/32*c_1001_1^2 - 117/16*c_1001_1 - 27/32, c_0110_11 - 19/64*c_1001_1^12 - 11/32*c_1001_1^11 - 49/16*c_1001_1^10 - 283/64*c_1001_1^9 - 419/32*c_1001_1^8 - 1265/64*c_1001_1^7 - 1951/64*c_1001_1^6 - 2363/64*c_1001_1^5 - 1205/32*c_1001_1^4 - 1729/64*c_1001_1^3 - 965/64*c_1001_1^2 - 205/32*c_1001_1 - 61/64, c_0110_8 + c_1001_1, c_1001_1^13 + c_1001_1^12 + 10*c_1001_1^11 + 13*c_1001_1^10 + 41*c_1001_1^9 + 57*c_1001_1^8 + 90*c_1001_1^7 + 100*c_1001_1^6 + 101*c_1001_1^5 + 61*c_1001_1^4 + 28*c_1001_1^3 + 7*c_1001_1^2 + c_1001_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.690 Total time: 0.900 seconds, Total memory usage: 32.09MB