Learn more

Refine search


Results (1-50 of 68 matches)

Next   displayed columns for results
Label Char Prim Dim AA Field CM RM Minimal twist Traces Fricke sign Sato-Tate qq-expansion
a2a_{2} a3a_{3} a5a_{5} a7a_{7}
161.1.l.a 161.l 161.l 1010 0.0800.080 Q(ζ22)\Q(\zeta_{22}) Q(7)\Q(\sqrt{-7}) None 161.1.l.a 2-2 00 00 1-1 q+(ζ22+ζ228)q2+(ζ222ζ225+)q4+q+(-\zeta_{22}+\zeta_{22}^{8})q^{2}+(\zeta_{22}^{2}-\zeta_{22}^{5}+\cdots)q^{4}+\cdots
161.2.a.a 161.a 1.a 11 1.2861.286 Q\Q None None 161.2.a.a 1-1 00 22 11 - SU(2)\mathrm{SU}(2) qq2q4+2q5+q7+3q83q9+q-q^{2}-q^{4}+2q^{5}+q^{7}+3q^{8}-3q^{9}+\cdots
161.2.a.b 161.a 1.a 22 1.2861.286 Q(5)\Q(\sqrt{5}) None None 161.2.a.b 1-1 2-2 2-2 2-2 ++ SU(2)\mathrm{SU}(2) qβq2q3+(1+β)q4+(2+2β)q5+q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+(-2+2\beta )q^{5}+\cdots
161.2.a.c 161.a 1.a 33 1.2861.286 3.3.148.1 None None 161.2.a.c 1-1 22 22 3-3 - SU(2)\mathrm{SU}(2) q+(β1β2)q2+(1β1)q3+(1+2β1+)q4+q+(-\beta _{1}-\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots
161.2.a.d 161.a 1.a 55 1.2861.286 5.5.2147108.1 None None 161.2.a.d 22 00 4-4 55 - SU(2)\mathrm{SU}(2) q+β1q2+β3q3+(2+β2)q4+(1+)q5+q+\beta _{1}q^{2}+\beta _{3}q^{3}+(2+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots
161.2.c.a 161.c 161.c 22 1.2861.286 Q(7)\Q(\sqrt{-7}) Q(7)\Q(\sqrt{-7}) None 161.2.c.a 2-2 00 00 00 U(1)[D2]\mathrm{U}(1)[D_{2}] qq2q4βq7+3q8+3q92βq11+q-q^{2}-q^{4}-\beta q^{7}+3q^{8}+3q^{9}-2\beta q^{11}+\cdots
161.2.c.b 161.c 161.c 1212 1.2861.286 Q[x]/(x12)\mathbb{Q}[x]/(x^{12} - \cdots) None None 161.2.c.b 00 00 00 00 SU(2)[C2]\mathrm{SU}(2)[C_{2}] qβ4q2β6q3+(1β3)q4β2q5+q-\beta _{4}q^{2}-\beta _{6}q^{3}+(1-\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots
161.2.e.a 161.e 7.c 1414 1.2861.286 Q[x]/(x14+)\mathbb{Q}[x]/(x^{14} + \cdots) None None 161.2.e.a 00 5-5 4-4 2-2 SU(2)[C3]\mathrm{SU}(2)[C_{3}] qβ2q2+(1β6β10β11+)q3+q-\beta _{2}q^{2}+(-1-\beta _{6}-\beta _{10}-\beta _{11}+\cdots)q^{3}+\cdots
161.2.e.b 161.e 7.c 1414 1.2861.286 Q[x]/(x14+)\mathbb{Q}[x]/(x^{14} + \cdots) None None 161.2.e.b 00 33 44 00 SU(2)[C3]\mathrm{SU}(2)[C_{3}] qβ1q2+(β5β12)q3+(1+β2+)q4+q-\beta _{1}q^{2}+(-\beta _{5}-\beta _{12})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots
161.2.g.a 161.g 161.g 2828 1.2861.286 None None 161.2.g.a 4-4 6-6 00 00 SU(2)[C6]\mathrm{SU}(2)[C_{6}]
161.2.i.a 161.i 23.c 5050 1.2861.286 None None 161.2.i.a 22 00 11-11 55 SU(2)[C11]\mathrm{SU}(2)[C_{11}]
161.2.i.b 161.i 23.c 7070 1.2861.286 None None 161.2.i.b 4-4 4-4 77 7-7 SU(2)[C11]\mathrm{SU}(2)[C_{11}]
161.2.k.a 161.k 161.k 2020 1.2861.286 20.0.\cdots.2 Q(7)\Q(\sqrt{-7}) None 161.2.k.a 22 00 00 00 U(1)[D22]\mathrm{U}(1)[D_{22}] q+(β4+β6β14)q2+(β2+β13+)q4+q+(\beta _{4}+\beta _{6}-\beta _{14})q^{2}+(-\beta _{2}+\beta _{13}+\cdots)q^{4}+\cdots
161.2.k.b 161.k 161.k 120120 1.2861.286 None None 161.2.k.b 22-22 00 00 11-11 SU(2)[C22]\mathrm{SU}(2)[C_{22}]
161.2.m.a 161.m 161.m 280280 1.2861.286 None None 161.2.m.a 11-11 9-9 11-11 20-20 SU(2)[C33]\mathrm{SU}(2)[C_{33}]
161.2.o.a 161.o 161.o 280280 1.2861.286 None None 161.2.o.a 7-7 27-27 33-33 22-22 SU(2)[C66]\mathrm{SU}(2)[C_{66}]
161.3.b.a 161.b 7.b 2828 4.3874.387 None None 161.3.b.a 00 00 00 1818 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
161.3.d.a 161.d 23.b 2424 4.3874.387 None None 161.3.d.a 2-2 4-4 00 00 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
161.3.f.a 161.f 161.f 6060 4.3874.387 None None 161.3.f.a 4-4 2-2 00 00 SU(2)[C6]\mathrm{SU}(2)[C_{6}]
161.3.h.a 161.h 7.d 6060 4.3874.387 None None 161.3.h.a 00 6-6 00 10-10 SU(2)[C6]\mathrm{SU}(2)[C_{6}]
161.3.j.a 161.j 23.d 240240 4.3874.387 None None 161.3.j.a 22 44 00 00 SU(2)[C22]\mathrm{SU}(2)[C_{22}]
161.3.l.a 161.l 161.l 2020 4.3874.387 20.0.\cdots.2 Q(7)\Q(\sqrt{-7}) None 161.3.l.a 66 00 00 1414 U(1)[D22]\mathrm{U}(1)[D_{22}] q+(β4β5+2β6β14)q2+(3β2+)q4+q+(\beta _{4}-\beta _{5}+2\beta _{6}-\beta _{14})q^{2}+(-3\beta _{2}+\cdots)q^{4}+\cdots
161.3.l.b 161.l 161.l 280280 4.3874.387 None None 161.3.l.b 22-22 00 00 29-29 SU(2)[C22]\mathrm{SU}(2)[C_{22}]
161.3.n.a 161.n 161.n 600600 4.3874.387 None None 161.3.n.a 11-11 27-27 33-33 12-12 SU(2)[C66]\mathrm{SU}(2)[C_{66}]
161.3.p.a 161.p 161.p 600600 4.3874.387 None None 161.3.p.a 7-7 9-9 11-11 22-22 SU(2)[C66]\mathrm{SU}(2)[C_{66}]
161.4.a.a 161.a 1.a 55 9.4999.499 Q[x]/(x5)\mathbb{Q}[x]/(x^{5} - \cdots) None None 161.4.a.a 4-4 11-11 4-4 3535 - SU(2)\mathrm{SU}(2) q+(1+β1)q2+(2β4)q3+β2q4+q+(-1+\beta _{1})q^{2}+(-2-\beta _{4})q^{3}+\beta _{2}q^{4}+\cdots
161.4.a.b 161.a 1.a 88 9.4999.499 Q[x]/(x8)\mathbb{Q}[x]/(x^{8} - \cdots) None None 161.4.a.b 00 3-3 24-24 56-56 - SU(2)\mathrm{SU}(2) qβ1q2+β4q3+(3+β1+β3β4+)q4+q-\beta _{1}q^{2}+\beta _{4}q^{3}+(3+\beta _{1}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots
161.4.a.c 161.a 1.a 99 9.4999.499 Q[x]/(x9)\mathbb{Q}[x]/(x^{9} - \cdots) None None 161.4.a.c 00 99 4-4 63-63 ++ SU(2)\mathrm{SU}(2) q+β1q2+(1β4)q3+(5+β1+β2+)q4+q+\beta _{1}q^{2}+(1-\beta _{4})q^{3}+(5+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots
161.4.a.d 161.a 1.a 1212 9.4999.499 Q[x]/(x12)\mathbb{Q}[x]/(x^{12} - \cdots) None None 161.4.a.d 44 11 1616 8484 ++ SU(2)\mathrm{SU}(2) q+β1q2β4q3+(6+β2)q4+(1+β1+)q5+q+\beta _{1}q^{2}-\beta _{4}q^{3}+(6+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots
161.4.c.a 161.c 161.c 22 9.4999.499 Q(7)\Q(\sqrt{-7}) Q(7)\Q(\sqrt{-7}) None 161.4.c.a 1010 00 00 00 U(1)[D2]\mathrm{U}(1)[D_{2}] q+5q2+17q4+7βq7+45q8+33q9+q+5q^{2}+17q^{4}+7\beta q^{7}+45q^{8}+3^{3}q^{9}+\cdots
161.4.c.b 161.c 161.c 88 9.4999.499 Q[x]/(x8)\mathbb{Q}[x]/(x^{8} - \cdots) None None 161.4.c.b 8-8 00 00 00 SU(2)[C2]\mathrm{SU}(2)[C_{2}] qq2β2q37q4+(β1β3+)q5+q-q^{2}-\beta _{2}q^{3}-7q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots
161.4.c.c 161.c 161.c 3636 9.4999.499 None None 161.4.c.c 8-8 00 00 00 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
161.4.e.a 161.e 7.c 4444 9.4999.499 None None 161.4.e.a 00 6-6 20-20 12-12 SU(2)[C3]\mathrm{SU}(2)[C_{3}]
161.4.e.b 161.e 7.c 4444 9.4999.499 None None 161.4.e.b 00 1818 2020 44-44 SU(2)[C3]\mathrm{SU}(2)[C_{3}]
161.4.g.a 161.g 161.g 9292 9.4999.499 None None 161.4.g.a 00 6-6 00 00 SU(2)[C6]\mathrm{SU}(2)[C_{6}]
161.4.i.a 161.i 23.c 170170 9.4999.499 None None 161.4.i.a 00 1010 1010 119-119 SU(2)[C11]\mathrm{SU}(2)[C_{11}]
161.4.i.b 161.i 23.c 190190 9.4999.499 None None 161.4.i.b 22 2-2 26-26 133133 SU(2)[C11]\mathrm{SU}(2)[C_{11}]
161.4.k.a 161.k 161.k 2020 9.4999.499 20.0.\cdots.2 Q(7)\Q(\sqrt{-7}) None 161.4.k.a 10-10 00 00 00 U(1)[D22]\mathrm{U}(1)[D_{22}] q+(3β23β33β5+3β63β8+)q2+q+(-3-\beta _{2}-3\beta _{3}-3\beta _{5}+3\beta _{6}-3\beta _{8}+\cdots)q^{2}+\cdots
161.4.k.b 161.k 161.k 440440 9.4999.499 None None 161.4.k.b 6-6 00 00 11-11 SU(2)[C22]\mathrm{SU}(2)[C_{22}]
161.4.m.a 161.m 161.m 920920 9.4999.499 None None 161.4.m.a 7-7 9-9 33 22-22 SU(2)[C33]\mathrm{SU}(2)[C_{33}]
161.4.o.a 161.o 161.o 920920 9.4999.499 None None 161.4.o.a 11-11 27-27 33-33 22-22 SU(2)[C66]\mathrm{SU}(2)[C_{66}]
161.5.b.a 161.b 7.b 6060 16.64316.643 None None 161.5.b.a 00 00 00 130-130 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
161.5.d.a 161.d 23.b 4848 16.64316.643 None None 161.5.d.a 66 2020 00 00 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
161.6.a.a 161.a 1.a 1010 25.82225.822 Q[x]/(x10)\mathbb{Q}[x]/(x^{10} - \cdots) None None 161.6.a.a 8-8 2-2 92-92 490490 ++ SU(2)\mathrm{SU}(2) q+(1+β1)q2β3q3+(7β1+β2+)q4+q+(-1+\beta _{1})q^{2}-\beta _{3}q^{3}+(7-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots
161.6.a.b 161.a 1.a 1313 25.82225.822 Q[x]/(x13)\mathbb{Q}[x]/(x^{13} - \cdots) None None 161.6.a.b 00 12-12 88 637-637 ++ SU(2)\mathrm{SU}(2) q+β1q2+(1+β4)q3+(12+β1+)q4+q+\beta _{1}q^{2}+(-1+\beta _{4})q^{3}+(12+\beta _{1}+\cdots)q^{4}+\cdots
161.6.a.c 161.a 1.a 1414 25.82225.822 Q[x]/(x14)\mathbb{Q}[x]/(x^{14} - \cdots) None None 161.6.a.c 00 2424 108108 686-686 - SU(2)\mathrm{SU}(2) qβ1q2+(2+β1β2)q3+(19+β1+)q4+q-\beta _{1}q^{2}+(2+\beta _{1}-\beta _{2})q^{3}+(19+\beta _{1}+\cdots)q^{4}+\cdots
161.6.a.d 161.a 1.a 1717 25.82225.822 Q[x]/(x17)\mathbb{Q}[x]/(x^{17} - \cdots) None None 161.6.a.d 88 3434 88 833833 - SU(2)\mathrm{SU}(2) q+β1q2+(2+β1β3)q3+(20+β1+)q4+q+\beta _{1}q^{2}+(2+\beta _{1}-\beta _{3})q^{3}+(20+\beta _{1}+\cdots)q^{4}+\cdots
161.6.c.a 161.c 161.c 22 25.82225.822 Q(7)\Q(\sqrt{-7}) Q(7)\Q(\sqrt{-7}) None 161.6.c.a 22-22 00 00 00 U(1)[D2]\mathrm{U}(1)[D_{2}] q11q2+89q4+72βq7627q8+q-11q^{2}+89q^{4}+7^{2}\beta q^{7}-627q^{8}+\cdots
161.6.c.b 161.c 161.c 7676 25.82225.822 None None 161.6.c.b 1616 00 00 00 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
161.7.b.a 161.b 7.b 8888 37.03937.039 None None 161.7.b.a 00 00 00 88 SU(2)[C2]\mathrm{SU}(2)[C_{2}]
Next   displayed columns for results