Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 3153733259] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2661 geometric_solution 5.92713004 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 0 1 0 0 -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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515370583309 0.273332336079 0 2 0 3 0132 0132 1023 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 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 1.380491252704 0.826271345098 4 1 5 6 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 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 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462607622397 0.422545785046 6 4 1 6 1302 1230 0132 1230 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 0.777960774324 0.820861707616 2 5 3 5 0132 0213 3012 2031 0 0 0 0 0 1 -1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.098247027229 0.948478491076 6 4 4 2 3201 1302 0213 0132 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 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 0.098247027229 0.948478491076 3 3 2 5 3012 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995499219035 1.345597832699 ==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' : negation(d['1']), 's_3_5' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(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_5'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_1001_2']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_6'], '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_0'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0011_0'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_0011_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_3, c_0011_5, c_0011_6, c_0101_1, c_0101_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1291623225188284468233449/11811889681176279399624920*c_1001_2^15 - 14180282655091876528544369/11811889681176279399624920*c_1001_2^14 + 39893570033013340735131507/5905944840588139699812460*c_1001_2^13 - 5642744986979016464135948/295297242029406984990623*c_1001_2^12 + 148937202259461042738785473/5905944840588139699812460*c_1001_2^11 + 68515301256132457497652389/11811889681176279399624920*c_1001_2^10 - 76116635330650690468723738/1476486210147034924953115*c_1001_2^9 + 6264340843577599419578296/295297242029406984990623*c_1001_2^8 + 576796420288242784381789957/5905944840588139699812460*c_1001_2^7 - 329189514561598228879855979/2362377936235255879924984*c_1001_2^6 - 109557232561822311738915907/5905944840588139699812460*c_1001_2^5 + 171775841557212471149908541/1476486210147034924953115*c_1001_2^4 + 81704898928000120738336729/5905944840588139699812460*c_1001_2^3 - 1744865420332487583297473771/11811889681176279399624920*c_1001_2^2 + 9576169011648000298600809/210926601449576417850445*c_1001_2 + 1038735961459474942358420703/11811889681176279399624920, c_0011_0 - 1, c_0011_3 - 602240786817605181/171864301029802691765*c_1001_2^15 + 4799307877268418454/171864301029802691765*c_1001_2^14 - 19769711248385268941/171864301029802691765*c_1001_2^13 + 3478974621782314810/34372860205960538353*c_1001_2^12 + 54192122525597174478/171864301029802691765*c_1001_2^11 - 165412514823253080004/171864301029802691765*c_1001_2^10 - 48626996801824981402/171864301029802691765*c_1001_2^9 + 340340645516526255973/171864301029802691765*c_1001_2^8 - 46393527721079945944/34372860205960538353*c_1001_2^7 - 500744113444749330529/171864301029802691765*c_1001_2^6 + 549796051716195198242/171864301029802691765*c_1001_2^5 + 509733740119253512851/171864301029802691765*c_1001_2^4 - 443123787126263131549/171864301029802691765*c_1001_2^3 - 97582297225974208941/171864301029802691765*c_1001_2^2 + 112463488616133302546/24552043004257527395*c_1001_2 + 528707471464903022792/171864301029802691765, c_0011_5 + 408167205282282463/68745720411921076706*c_1001_2^15 - 18490520827988173397/343728602059605383530*c_1001_2^14 + 44265016008453435961/171864301029802691765*c_1001_2^13 - 16681936812527041260/34372860205960538353*c_1001_2^12 + 24271288786336746374/171864301029802691765*c_1001_2^11 + 434676370845209566191/343728602059605383530*c_1001_2^10 - 164134061299147256458/171864301029802691765*c_1001_2^9 - 272398818238343254274/171864301029802691765*c_1001_2^8 + 18795823022518436613/4910408600851505479*c_1001_2^7 + 117821153729630050299/343728602059605383530*c_1001_2^6 - 822246422121439498712/171864301029802691765*c_1001_2^5 - 65229071204521130429/171864301029802691765*c_1001_2^4 + 134131314144423993258/34372860205960538353*c_1001_2^3 - 822210174396102137201/343728602059605383530*c_1001_2^2 - 1079616296905563369527/171864301029802691765*c_1001_2 - 426250306449353984179/343728602059605383530, c_0011_6 + 28865050032149899/10576264678757088724*c_1001_2^15 - 277052767809656723/10576264678757088724*c_1001_2^14 + 697859522341729787/5288132339378544362*c_1001_2^13 - 764282599037813117/2644066169689272181*c_1001_2^12 + 1030821360738510175/5288132339378544362*c_1001_2^11 + 5648815588304412299/10576264678757088724*c_1001_2^10 - 2046512299918013196/2644066169689272181*c_1001_2^9 - 985113310931838972/2644066169689272181*c_1001_2^8 + 10674885692117344769/5288132339378544362*c_1001_2^7 - 8109686536844466257/10576264678757088724*c_1001_2^6 - 11588704007525311887/5288132339378544362*c_1001_2^5 + 3465797458789881869/2644066169689272181*c_1001_2^4 + 7063657628955523181/5288132339378544362*c_1001_2^3 - 28283723533344073621/10576264678757088724*c_1001_2^2 - 698234373522976340/377723738527038883*c_1001_2 + 13848450915449821577/10576264678757088724, c_0101_1 + 35233948653694961/10576264678757088724*c_1001_2^15 - 359491671123486961/10576264678757088724*c_1001_2^14 + 949406408671780929/5288132339378544362*c_1001_2^13 - 1165727193538738268/2644066169689272181*c_1001_2^12 + 2112177554206468969/5288132339378544362*c_1001_2^11 + 6890969656348083885/10576264678757088724*c_1001_2^10 - 4059769225544682165/2644066169689272181*c_1001_2^9 + 37251621271606166/377723738527038883*c_1001_2^8 + 16552528370560474155/5288132339378544362*c_1001_2^7 - 30718161698827816779/10576264678757088724*c_1001_2^6 - 11523361921066051439/5288132339378544362*c_1001_2^5 + 10060742264695109268/2644066169689272181*c_1001_2^4 + 1504977586175271379/5288132339378544362*c_1001_2^3 - 6208842056832119981/1510894954108155532*c_1001_2^2 + 707376831899240514/2644066169689272181*c_1001_2 + 30039532457329206867/10576264678757088724, c_0101_4 + 684685793773202661/687457204119210767060*c_1001_2^15 - 5078460022728868669/687457204119210767060*c_1001_2^14 + 9814163010495337667/343728602059605383530*c_1001_2^13 - 257712191675394126/24552043004257527395*c_1001_2^12 - 40640134239837742411/343728602059605383530*c_1001_2^11 + 218921416844929700833/687457204119210767060*c_1001_2^10 - 190948143411229962/171864301029802691765*c_1001_2^9 - 62872703047161671577/171864301029802691765*c_1001_2^8 + 176938400102392690917/343728602059605383530*c_1001_2^7 + 401604056195153856673/687457204119210767060*c_1001_2^6 - 408625955011093310871/343728602059605383530*c_1001_2^5 - 10401984015451809421/34372860205960538353*c_1001_2^4 + 82553958074210911143/343728602059605383530*c_1001_2^3 - 357261357133346532827/687457204119210767060*c_1001_2^2 - 52224466922296536144/34372860205960538353*c_1001_2 - 595463581828095037121/687457204119210767060, c_1001_2^16 - 10*c_1001_2^15 + 51*c_1001_2^14 - 114*c_1001_2^13 + 58*c_1001_2^12 + 283*c_1001_2^11 - 425*c_1001_2^10 - 268*c_1001_2^9 + 1090*c_1001_2^8 - 401*c_1001_2^7 - 1435*c_1001_2^6 + 918*c_1001_2^5 + 1170*c_1001_2^4 - 1233*c_1001_2^3 - 921*c_1001_2^2 + 1239*c_1001_2 + 781 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB