Artin representation search results

Results (1-50 of 157 matches)

 

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
2.2159.30t14.b.a 2.2159.30t14.b.b 2.2159.30t14.b.c 2.2159.30t14.b.d	$2$	$ 17 \cdot 127 $	$2$	30.2.812804153180660145912426894477473567856769041137.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.2855.30t14.a.a 2.2855.30t14.a.b 2.2855.30t14.a.c 2.2855.30t14.a.d	$2$	$ 5 \cdot 571 $	$2$	30.2.11952412704796787125889897969349006221954345703125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.3351.30t14.b.a 2.3351.30t14.b.b 2.3351.30t14.b.c 2.3351.30t14.b.d	$2$	$ 3 \cdot 1117 $	$2$	30.0.67540340288911750220987142641365428116063232133203.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.3375.30t14.a.a 2.3375.30t14.a.b 2.3375.30t14.a.c 2.3375.30t14.a.d	$2$	$ 3^{3} \cdot 5^{3}$	$2$	30.0.18201370075621419164235703647136688232421875.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.3639.30t14.b.a 2.3639.30t14.b.b 2.3639.30t14.b.c 2.3639.30t14.b.d	$2$	$ 3 \cdot 1213 $	$2$	30.0.214224941509935982232692876412219596671526317019923.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.3951.30t14.a.a 2.3951.30t14.a.b 2.3951.30t14.a.c 2.3951.30t14.a.d	$2$	$ 3^{2} \cdot 439 $	$2$	30.0.141684422447224323645012862864040611366932987.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.5975.30t14.a.a 2.5975.30t14.a.b 2.5975.30t14.a.c 2.5975.30t14.a.d	$2$	$ 5^{2} \cdot 239 $	$2$	30.2.60550910545856385116788597847358428955078125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.7791.30t14.b.a 2.7791.30t14.b.b 2.7791.30t14.b.c 2.7791.30t14.b.d	$2$	$ 3 \cdot 7^{2} \cdot 53 $	$3$	30.0.8851375005191383462430321349782942769050796640392327.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.10527.30t14.a.a 2.10527.30t14.a.b 2.10527.30t14.a.c 2.10527.30t14.a.d	$2$	$ 3 \cdot 11^{2} \cdot 29 $	$3$	30.2.55974895395417171099844930764043920121188850445791734057.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.10571.30t14.a.a 2.10571.30t14.a.b 2.10571.30t14.a.c 2.10571.30t14.a.d	$2$	$ 11 \cdot 31^{2}$	$2$	30.0.6745073918361614166159352201918750235810621684008207052311.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.10575.30t14.b.a 2.10575.30t14.b.b 2.10575.30t14.b.c 2.10575.30t14.b.d	$2$	$ 3^{2} \cdot 5^{2} \cdot 47 $	$3$	30.0.1097586964004374803146658147777020931243896484375.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.10975.30t14.a.a 2.10975.30t14.a.b 2.10975.30t14.a.c 2.10975.30t14.a.d	$2$	$ 5^{2} \cdot 439 $	$2$	30.2.301337616246914973122131519082482771026611328125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.11532.30t14.b.a 2.11532.30t14.b.b 2.11532.30t14.b.c 2.11532.30t14.b.d	$2$	$ 2^{2} \cdot 3 \cdot 31^{2}$	$3$	30.0.89081311138443708991180340112468354667887868594722177024.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.13100.30t14.a.a 2.13100.30t14.a.b 2.13100.30t14.a.c 2.13100.30t14.a.d	$2$	$ 2^{2} \cdot 5^{2} \cdot 131 $	$3$	30.2.14026461290181639205847118647072000000000000000.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.13351.30t14.a.a 2.13351.30t14.a.b 2.13351.30t14.a.c 2.13351.30t14.a.d	$2$	$ 13^{2} \cdot 79 $	$2$	30.2.2602334298612352794292841169024853312725969873810942733.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.14415.30t14.c.a 2.14415.30t14.c.b 2.14415.30t14.c.c 2.14415.30t14.c.d	$2$	$ 3 \cdot 5 \cdot 31^{2}$	$3$	30.2.1555564425742085598022333697517199115849004626414776611328125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.14415.30t14.d.a 2.14415.30t14.d.b 2.14415.30t14.d.c 2.14415.30t14.d.d	$2$	$ 3 \cdot 5 \cdot 31^{2}$	$3$	30.0.518521475247361866007444565839066371949668208804925537109375.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.14884.30t14.b.a 2.14884.30t14.b.b 2.14884.30t14.b.c 2.14884.30t14.b.d	$2$	$ 2^{2} \cdot 61^{2}$	$2$	30.2.1597368419012292174477702204434242156796493528712567110762496.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.15296.30t14.a.a 2.15296.30t14.a.b 2.15296.30t14.a.c 2.15296.30t14.a.d	$2$	$ 2^{6} \cdot 239 $	$2$	30.2.69810446891843341455650582518642209772915392512.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.16775.30t14.a.a 2.16775.30t14.a.b 2.16775.30t14.a.c 2.16775.30t14.a.d	$2$	$ 5^{2} \cdot 11 \cdot 61 $	$3$	30.2.114463058803512608608063235872919561806671142578125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.17407.30t14.a.a 2.17407.30t14.a.b 2.17407.30t14.a.c 2.17407.30t14.a.d	$2$	$ 13^{2} \cdot 103 $	$2$	30.2.106734532828522496581524773430458750870380623753858493117.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.17900.30t14.a.a 2.17900.30t14.a.b 2.17900.30t14.a.c 2.17900.30t14.a.d	$2$	$ 2^{2} \cdot 5^{2} \cdot 179 $	$3$	30.2.1109410857892705938292621064252192000000000000000.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.18775.30t14.a.a 2.18775.30t14.a.b 2.18775.30t14.a.c 2.18775.30t14.a.d	$2$	$ 5^{2} \cdot 751 $	$2$	30.2.553999258054841955537532525076904905639678955078125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.19375.30t14.a.a 2.19375.30t14.a.b 2.19375.30t14.a.c 2.19375.30t14.a.d	$2$	$ 5^{4} \cdot 31 $	$2$	30.2.336150634093000420108854342515769531019032001495361328125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.20727.30t14.b.a 2.20727.30t14.b.b 2.20727.30t14.b.c 2.20727.30t14.b.d	$2$	$ 3^{2} \cdot 7^{2} \cdot 47 $	$3$	30.2.4939009167239391016458724484733673047883402323239181.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.21175.30t14.a.a 2.21175.30t14.a.b 2.21175.30t14.a.c 2.21175.30t14.a.d	$2$	$ 5^{2} \cdot 7 \cdot 11^{2}$	$3$	30.0.2649873657700903454398498579043465723687112331390380859375.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.21463.30t14.a.a 2.21463.30t14.a.b 2.21463.30t14.a.c 2.21463.30t14.a.d	$2$	$ 13^{2} \cdot 127 $	$2$	30.2.2003714777102606190865518348275673547049346181840865056237.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.22139.30t14.a.a 2.22139.30t14.a.b 2.22139.30t14.a.c 2.22139.30t14.a.d	$2$	$ 13^{2} \cdot 131 $	$2$	30.2.3093014435036857786963721609969026474181058935440549019653.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.23064.30t14.b.a 2.23064.30t14.b.b 2.23064.30t14.b.c 2.23064.30t14.b.d	$2$	$ 2^{3} \cdot 3 \cdot 31^{2}$	$3$	30.0.373634099633219002396543665255086469856940758798317605980471296.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.24200.30t14.b.a 2.24200.30t14.b.b 2.24200.30t14.b.c 2.24200.30t14.b.d	$2$	$ 2^{3} \cdot 5^{2} \cdot 11^{2}$	$3$	30.0.17183531586682788730714797337477120000000000000000000000000.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.24500.30t14.a.a 2.24500.30t14.a.b 2.24500.30t14.a.c 2.24500.30t14.a.d	$2$	$ 2^{2} \cdot 5^{3} \cdot 7^{2}$	$3$	30.0.130963732389059072344433593750000000000000000000000000000.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.25947.30t14.b.a 2.25947.30t14.b.b 2.25947.30t14.b.c 2.25947.30t14.b.d	$2$	$ 3^{3} \cdot 31^{2}$	$2$	30.0.296218229387429309775382095796612972890974956353392675186199.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.26136.30t14.a.a 2.26136.30t14.a.b 2.26136.30t14.a.c 2.26136.30t14.a.d	$2$	$ 2^{3} \cdot 3^{3} \cdot 11^{2}$	$3$	30.2.2884737049533306896092383301710913070662993048976530341888.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.26871.30t14.a.a 2.26871.30t14.a.b 2.26871.30t14.a.c 2.26871.30t14.a.d	$2$	$ 3 \cdot 13^{2} \cdot 53 $	$3$	30.2.46574000999012860854288944884281082006974027453994077328173.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.27500.30t14.a.a 2.27500.30t14.a.b 2.27500.30t14.a.c 2.27500.30t14.a.d	$2$	$ 2^{2} \cdot 5^{4} \cdot 11 $	$3$	30.2.176834796361271757632493972778320312500000000000000000000.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.28096.30t14.a.a 2.28096.30t14.a.b 2.28096.30t14.a.c 2.28096.30t14.a.d	$2$	$ 2^{6} \cdot 439 $	$2$	30.2.347418617918033867346576267434667527455579320614912.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.30251.30t14.a.a 2.30251.30t14.a.b 2.30251.30t14.a.c 2.30251.30t14.a.d	$2$	$ 13^{2} \cdot 179 $	$2$	30.2.244639309007377404425692982388381405657798030259759926770533.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.34416.30t14.a.a 2.34416.30t14.a.b 2.34416.30t14.a.c 2.34416.30t14.a.d	$2$	$ 2^{4} \cdot 3^{2} \cdot 239 $	$3$	30.2.30569568178695653232311243684564905832093935730688.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.36784.30t14.a.a 2.36784.30t14.a.b 2.36784.30t14.a.c 2.36784.30t14.a.d	$2$	$ 2^{4} \cdot 11^{2} \cdot 19 $	$3$	30.2.11517354624676512770303975866888118635156358938282390716416.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.36848.30t14.a.a 2.36848.30t14.a.b 2.36848.30t14.a.c 2.36848.30t14.a.d	$2$	$ 2^{4} \cdot 7^{2} \cdot 47 $	$3$	30.2.369590569649963217035388468888354649776039648865288192.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.36875.30t14.a.a 2.36875.30t14.a.b 2.36875.30t14.a.c 2.36875.30t14.a.d	$2$	$ 5^{4} \cdot 59 $	$2$	30.2.2750415989579397096892581675575684130308218300342559814453125.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.38663.30t14.a.a 2.38663.30t14.a.b 2.38663.30t14.a.c 2.38663.30t14.a.d	$2$	$ 23 \cdot 41^{2}$	$2$	30.2.406774608420790350506022848535408514402414277592470699086077929.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.39567.30t14.b.a 2.39567.30t14.b.b 2.39567.30t14.b.c 2.39567.30t14.b.d	$2$	$ 3 \cdot 11^{2} \cdot 109 $	$3$	30.0.4722959655521489853984321843162717447021897644852206349943507.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.42471.30t14.a.a 2.42471.30t14.a.b 2.42471.30t14.a.c 2.42471.30t14.a.d	$2$	$ 3^{3} \cdot 11^{2} \cdot 13 $	$3$	30.0.1940328627495472911344435081516931921531354206401911752643.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.44652.30t14.b.a 2.44652.30t14.b.b 2.44652.30t14.b.c 2.44652.30t14.b.d	$2$	$ 2^{2} \cdot 3 \cdot 61^{2}$	$3$	30.2.29844389178573453474490003261877510837698311939581321879674159104.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.46128.30t14.a.a 2.46128.30t14.a.b 2.46128.30t14.a.c 2.46128.30t14.a.d	$2$	$ 2^{4} \cdot 3 \cdot 31^{2}$	$3$	30.2.93408524908304750599135916313771617464235189699579401495117824.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.47500.30t14.a.a 2.47500.30t14.a.b 2.47500.30t14.a.c 2.47500.30t14.a.d	$2$	$ 2^{2} \cdot 5^{4} \cdot 19 $	$3$	30.2.372066481869148146826773881912231445312500000000000000000000.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.50024.30t14.b.a 2.50024.30t14.b.b 2.50024.30t14.b.c 2.50024.30t14.b.d	$2$	$ 2^{3} \cdot 13^{2} \cdot 37 $	$3$	30.0.2237472722721760792111342824210869116065928594975575846749732864.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.51207.30t14.b.a 2.51207.30t14.b.b 2.51207.30t14.b.c 2.51207.30t14.b.d	$2$	$ 3 \cdot 13^{2} \cdot 101 $	$3$	30.2.387954332916274290045723321922137124445485205658055097601082317.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$
2.52111.30t14.a.a 2.52111.30t14.a.b 2.52111.30t14.a.c 2.52111.30t14.a.d	$2$	$ 31 \cdot 41^{2}$	$2$	30.2.26559986204082142009451220242097508624239728747414022011045740601.1	$D_{30}$	$D_{15}$	$D_{30}$	$1$	$0$