Magma V2.19-8 Tue Aug 20 2013 16:17:23 on localhost [Seed = 3515895068] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1614 geometric_solution 5.37198125 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.542573029529 0.667970943036 0 2 3 0 3201 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621907202345 0.391376187354 4 1 3 5 0132 0132 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590586283479 0.451498072273 2 5 4 1 2031 1023 1023 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.590586283479 0.451498072273 2 4 3 4 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.937053864475 1.341056083204 3 6 2 6 1023 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.939674864171 0.497026014003 6 5 6 5 2031 0132 1302 1023 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 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 0.597527853182 0.183297810536 ==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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0011_3, c_0101_0, c_0101_4, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 363090310926045891/331020194305236800*c_0110_6^14 - 290539630183204673/248265145728927600*c_0110_6^13 - 1447558464562271787/82755048576309200*c_0110_6^12 + 6137058759900751/1773322469492340*c_0110_6^11 - 12585870350468818807/331020194305236800*c_0110_6^10 + 13030324387392074111/165510097152618400*c_0110_6^9 - 53597407895721490343/496530291457855200*c_0110_6^8 + 4728433005760390543/39722423316628416*c_0110_6^7 - 3952793313714776417/25463091869633600*c_0110_6^6 + 1169998444031860861/10237737968203200*c_0110_6^5 - 23364259663320273/247214484171200*c_0110_6^4 + 6121864391850272539/66204038861047360*c_0110_6^3 - 13383578163400195883/331020194305236800*c_0110_6^2 + 21067073719271545139/331020194305236800*c_0110_6 - 60965274623111718383/993060582915710400, c_0011_0 - 1, c_0011_1 - 73181865511/461549189888*c_0110_6^14 - 14288161193/57693648736*c_0110_6^13 - 154913521099/57693648736*c_0110_6^12 - 102777033367/115387297472*c_0110_6^11 - 3015684980951/461549189888*c_0110_6^10 + 1801663224431/230774594944*c_0110_6^9 - 3064128005681/230774594944*c_0110_6^8 + 5595851131617/461549189888*c_0110_6^7 - 8645107109709/461549189888*c_0110_6^6 + 4595154891003/461549189888*c_0110_6^5 - 54954818461/4481060096*c_0110_6^4 + 4040321904723/461549189888*c_0110_6^3 - 1385486941723/461549189888*c_0110_6^2 + 4035665327455/461549189888*c_0110_6 - 1722373672941/461549189888, c_0011_3 - 125459706843/3230844329216*c_0110_6^14 - 33274060417/403855541152*c_0110_6^13 - 283323893099/403855541152*c_0110_6^12 - 69079370101/115387297472*c_0110_6^11 - 6103263220331/3230844329216*c_0110_6^10 + 1634637472547/1615422164608*c_0110_6^9 - 4243979770781/1615422164608*c_0110_6^8 + 5650534050765/3230844329216*c_0110_6^7 - 13611472276265/3230844329216*c_0110_6^6 + 2400648287199/3230844329216*c_0110_6^5 - 113797021817/31367420672*c_0110_6^4 + 5908409970007/3230844329216*c_0110_6^3 - 2413249062303/3230844329216*c_0110_6^2 + 7013783771507/3230844329216*c_0110_6 - 637545070025/3230844329216, c_0101_0 - 23042225489/115387297472*c_0110_6^14 - 35355109947/115387297472*c_0110_6^13 - 388222928009/115387297472*c_0110_6^12 - 117882421999/115387297472*c_0110_6^11 - 464258979823/57693648736*c_0110_6^10 + 144480035059/14423412184*c_0110_6^9 - 949680231955/57693648736*c_0110_6^8 + 1731706990741/115387297472*c_0110_6^7 - 662584564195/28846824368*c_0110_6^6 + 1263004476985/115387297472*c_0110_6^5 - 7991525471/560132512*c_0110_6^4 + 1157957005519/115387297472*c_0110\ _6^3 - 14489506507/3605853046*c_0110_6^2 + 1260920723129/115387297472*c_0110_6 - 8880055692/1802926523, c_0101_4 + 53559209631/807711082304*c_0110_6^14 + 82550576401/807711082304*c_0110_6^13 + 910115370819/807711082304*c_0110_6^12 + 39655615115/115387297472*c_0110_6^11 + 1127233809951/403855541152*c_0110_6^10 - 89457452793/25240971322*c_0110_6^9 + 2267407098149/403855541152*c_0110_6^8 - 4770332453667/807711082304*c_0110_6^7 + 890780329557/100963885288*c_0110_6^6 - 4099476581167/807711082304*c_0110_6^5 + 20835649243/3920927584*c_0110_6^4 - 3729803961273/807711082304*c_0110_6^3 + 73212028807/201927770576*c_0110_6^2 - 2585570972527/807711082304*c_0110_6 + 350037624599/201927770576, c_0110_5 - 17714721893/115387297472*c_0110_6^14 - 29036193069/115387297472*c_0110_6^13 - 301091912315/115387297472*c_0110_6^12 - 123067133561/115387297472*c_0110_6^11 - 180795442261/28846824368*c_0110_6^10 + 196874965177/28846824368*c_0110_6^9 - 692886573883/57693648736*c_0110_6^8 + 1100884294269/115387297472*c_0110_6^7 - 919291331759/57693648736*c_0110_6^6 + 692936974321/115387297472*c_0110_6^5 - 653314445/70016564*c_0110_6^4 + 667217698359/115387297472*c_0110_6^3 - 109025385387/57693648736*c_0110_6^2 + 881161284801/115387297472*c_0110_6 - 161695479015/57693648736, c_0110_6^15 + c_0110_6^14 + 16*c_0110_6^13 - 4*c_0110_6^12 + 37*c_0110_6^11 - 73*c_0110_6^10 + 108*c_0110_6^9 - 121*c_0110_6^8 + 156*c_0110_6^7 - 122*c_0110_6^6 + 104*c_0110_6^5 - 96*c_0110_6^4 + 48*c_0110_6^3 - 68*c_0110_6^2 + 58*c_0110_6 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB