Artin representation search results

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
14.393...376.15t72.a.a	$14$	$ 2^{28} \cdot 11^{12} \cdot 435593^{12}$	$3$	8.0.3172352108695376607450650959096645338500694016.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.214...256.15t72.a.a	$14$	$ 2^{28} \cdot 7^{16} \cdot 1075649^{12}$	$3$	8.0.2340710530180884465731804242655471841228462751744.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.294...504.15t72.a.a	$14$	$ 2^{30} \cdot 67^{12} \cdot 193^{12} \cdot 1019^{12}$	$4$	8.0.87812768645884871208063446530730170282275531390976.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.294...184.15t72.a.a	$14$	$ 2^{30} \cdot 701^{12} \cdot 18797^{12}$	$3$	8.0.87813088530439533539051393535468530591915378212864.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.294...544.15t72.a.a	$14$	$ 2^{30} \cdot 11^{12} \cdot 151^{12} \cdot 7933^{12}$	$4$	8.0.87813728302462049260764173611685476867240408121344.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.294...664.15t72.a.a	$14$	$ 2^{30} \cdot 23^{12} \cdot 572903^{12}$	$3$	8.0.87815967535129608031908549089667529769029306679296.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.123...776.15t72.a.a	$14$	$ 2^{28} \cdot 52706761^{12}$	$2$	8.0.5620020392178081715128903113480438691650659827318784.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.123...176.15t72.a.a	$14$	$ 2^{28} \cdot 23^{12} \cdot 43^{12} \cdot 137^{12} \cdot 389^{12}$	$5$	8.0.5620030628480917722529796097626934820084447048892416.1	$A_8$	$A_8$	$A_8$	$1$	$6$
14.123...416.15t72.a.a	$14$	$ 2^{28} \cdot 29^{12} \cdot 37^{12} \cdot 49121^{12}$	$4$	8.0.5620066455663197695561554590870531303687507769819136.1	$A_8$	$A_8$	$A_8$	$1$	$6$
18.412...000.60.a.a	$18$	$ 2^{39} \cdot 5^{8} \cdot 71^{12} \cdot 26449^{12}$	$4$	10.10.23300317255158046392320000.1	$A_5 \wr C_2$	$A_5 \wr C_2$	60	$1$	$18$
20.452...216.28t433.a.a	$20$	$ 2^{46} \cdot 51473^{18}$	$2$	8.0.19501894337558159417628591379185664.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.176...744.28t433.a.a	$20$	$ 2^{68} \cdot 7^{26} \cdot 11^{18} \cdot 191^{18}$	$4$	8.0.133100753213221593424899389161209856.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.279...944.28t433.a.a	$20$	$ 2^{48} \cdot 29^{18} \cdot 3917^{18}$	$3$	8.0.2252730971538337484304305478905626624.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.497...144.28t433.a.a	$20$	$ 2^{68} \cdot 113^{18} \cdot 911^{18}$	$3$	8.0.319463173328482073097337827900516204544.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.498...384.28t433.a.a	$20$	$ 2^{68} \cdot 102953^{18}$	$2$	8.0.319649416647163494229316963315979649024.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.213...744.28t433.a.a	$20$	$ 2^{46} \cdot 11^{18} \cdot 74869^{18}$	$3$	8.0.1277992348243533546275162547509832257536.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.213...536.28t433.a.a	$20$	$ 2^{46} \cdot 23^{18} \cdot 35809^{18}$	$3$	8.0.5113757317969899544771546325450569302016.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.547...376.28t433.a.a	$20$	$ 2^{54} \cdot 823547^{18}$	$2$	8.0.81784359890073480322911752930604437733376.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.547...824.28t433.a.a	$20$	$ 2^{54} \cdot 43^{18} \cdot 107^{18} \cdot 179^{18}$	$4$	8.0.81803428774472904272307991671908472193024.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.548...216.28t433.a.a	$20$	$ 2^{54} \cdot 823643^{18}$	$2$	8.0.81841577658693500678182700989203572064256.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.587...664.28t433.a.a	$20$	$ 2^{48} \cdot 3294173^{18}$	$2$	8.0.1339918344154038594028110691225010840890507264.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.587...296.28t433.a.a	$20$	$ 2^{48} \cdot 11^{18} \cdot 299471^{18}$	$3$	8.0.1339937868468943908837290142533567581866950656.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.124...016.28t433.a.a	$20$	$ 2^{46} \cdot 11^{18} \cdot 435593^{18}$	$3$	8.0.3172352108695376607450650959096645338500694016.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.914...064.28t433.a.a	$20$	$ 2^{54} \cdot 7^{26} \cdot 268913^{18}$	$3$	8.0.36574214064047828349270556528863627894423814144.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.245...736.28t433.a.a	$20$	$ 2^{46} \cdot 7^{26} \cdot 1075649^{18}$	$3$	8.0.2340710530180884465731804242655471841228462751744.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.258...904.28t433.a.a	$20$	$ 2^{54} \cdot 67^{18} \cdot 193^{18} \cdot 1019^{18}$	$4$	8.0.87812768645884871208063446530730170282275531390976.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.258...976.28t433.a.a	$20$	$ 2^{54} \cdot 701^{18} \cdot 18797^{18}$	$3$	8.0.87813088530439533539051393535468530591915378212864.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.258...136.28t433.a.a	$20$	$ 2^{54} \cdot 11^{18} \cdot 151^{18} \cdot 7933^{18}$	$4$	8.0.87813728302462049260764173611685476867240408121344.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.258...544.28t433.a.a	$20$	$ 2^{54} \cdot 23^{18} \cdot 572903^{18}$	$3$	8.0.87815967535129608031908549089667529769029306679296.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.693...384.28t433.a.a	$20$	$ 2^{46} \cdot 52706761^{18}$	$2$	8.0.5620020392178081715128903113480438691650659827318784.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.693...216.28t433.a.a	$20$	$ 2^{46} \cdot 23^{18} \cdot 43^{18} \cdot 137^{18} \cdot 389^{18}$	$5$	8.0.5620030628480917722529796097626934820084447048892416.1	$A_8$	$A_8$	$A_8$	$1$	$4$
20.693...576.28t433.a.a	$20$	$ 2^{46} \cdot 29^{18} \cdot 37^{18} \cdot 49121^{18}$	$4$	8.0.5620066455663197695561554590870531303687507769819136.1	$A_8$	$A_8$	$A_8$	$1$	$4$
21.103...277.42t418.a.a	$21$	$ 7741^{11} \cdot 12953^{11}$	$2$	7.7.100269173.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.107...889.42t418.a.a	$21$	$ 23^{11} \cdot 97^{11} \cdot 45119^{11}$	$3$	7.7.100660489.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.110...193.42t418.a.a	$21$	$ 7393^{11} \cdot 13649^{11}$	$2$	7.7.100907057.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.112...761.42t418.a.a	$21$	$ 73^{11} \cdot 1385057^{11}$	$2$	7.7.101109161.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.114...497.42t418.a.a	$21$	$ 101206153^{11}$	$1$	7.7.101206153.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.136...409.42t418.a.a	$21$	$ 13^{11} \cdot 197^{11} \cdot 40169^{11}$	$3$	7.7.102872809.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.172...953.42t418.a.a	$21$	$ 61^{11} \cdot 1109^{11} \cdot 1553^{11}$	$3$	7.7.105058897.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.178...197.42t418.a.a	$21$	$ 105391453^{11}$	$1$	7.7.105391453.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.179...437.42t418.a.a	$21$	$ 19^{11} \cdot 5551927^{11}$	$2$	7.7.105486613.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.180...597.42t418.a.a	$21$	$ 3803^{11} \cdot 27751^{11}$	$2$	7.7.105537053.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.184...777.42t418.a.a	$21$	$ 7^{11} \cdot 15101239^{11}$	$2$	7.7.105708673.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.214...013.42t418.a.a	$21$	$ 3^{11} \cdot 35721479^{11}$	$2$	7.7.107164437.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.226...601.42t418.a.a	$21$	$ 4283^{11} \cdot 25147^{11}$	$2$	7.7.107704601.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.245...057.42t418.a.a	$21$	$ 59^{11} \cdot 1839427^{11}$	$2$	7.7.108526193.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.275...033.42t418.a.a	$21$	$ 109652617^{11}$	$1$	7.7.109652617.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.292...417.42t418.a.a	$21$	$ 19^{11} \cdot 313^{11} \cdot 18539^{11}$	$3$	7.7.110251433.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.312...061.42t418.a.a	$21$	$ 7^{11} \cdot 15845923^{11}$	$2$	7.7.110921461.1	$S_7$	$S_7$	$S_7$	$1$	$21$
21.377...197.42t418.a.a	$21$	$ 7^{11} \cdot 103^{11} \cdot 156493^{11}$	$3$	7.7.112831453.1	$S_7$	$S_7$	$S_7$	$1$	$21$

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