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Results (1-50 of 53 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
118.2.a.a	$118$	$2$	118.a	1.a	$1$	$1$	$1$	$0.942$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-3\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
118.2.a.b	$118$	$2$	118.a	1.a	$1$	$1$	$1$	$0.942$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}-3q^{7}+\cdots\)
118.2.a.c	$118$	$2$	118.a	1.a	$1$	$1$	$1$	$0.942$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
118.2.a.d	$118$	$2$	118.a	1.a	$1$	$1$	$1$	$0.942$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(-2\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}-3q^{7}+\cdots\)
118.2.c.a	$118$	$2$	118.c	59.c	$29$	$56$	$2$	$0.942$		None		$2$	$0$	\(2\)	\(-1\)	\(1\)	\(4\)			$\mathrm{SU}(2)[C_{29}]$
118.2.c.b	$118$	$2$	118.c	59.c	$29$	$84$	$3$	$0.942$		None		$2$	$0$	\(-3\)	\(-5\)	\(-5\)	\(-8\)			$\mathrm{SU}(2)[C_{29}]$
118.3.b.a	$118$	$3$	118.b	59.b	$2$	$2$	$2$	$3.215$	\(\Q(\sqrt{-2}) \)	None		$2$	$0$	\(0\)	\(-10\)	\(-2\)	\(10\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{2}-5q^{3}-2q^{4}-q^{5}-5\beta q^{6}+\cdots\)
118.3.b.b	$118$	$3$	118.b	59.b	$2$	$8$	$8$	$3.215$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None		$2$	$0$	\(0\)	\(2\)	\(14\)	\(-18\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+\beta _{3}q^{3}-2q^{4}+(2+\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots\)
118.3.d.a	$118$	$3$	118.d	59.d	$58$	$280$	$10$	$3.215$		None		$2$	$0$	\(0\)	\(8\)	\(-12\)	\(8\)			$\mathrm{SU}(2)[C_{58}]$
118.4.a.a	$118$	$4$	118.a	1.a	$1$	$1$	$1$	$6.962$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(5\)	\(-5\)	\(-33\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+5q^{3}+4q^{4}-5q^{5}-10q^{6}+\cdots\)
118.4.a.b	$118$	$4$	118.a	1.a	$1$	$1$	$1$	$6.962$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-7\)	\(5\)	\(-15\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-7q^{3}+4q^{4}+5q^{5}-14q^{6}+\cdots\)
118.4.a.c	$118$	$4$	118.a	1.a	$1$	$1$	$1$	$6.962$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(-13\)	\(-27\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+4q^{4}-13q^{5}-2q^{6}+\cdots\)
118.4.a.d	$118$	$4$	118.a	1.a	$1$	$3$	$3$	$6.962$	3.3.13785.1	None	✓	$1$	$1$	\(-6\)	\(-12\)	\(-4\)	\(48\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-4+\beta _{1})q^{3}+4q^{4}+(-1+\cdots)q^{5}+\cdots\)
118.4.a.e	$118$	$4$	118.a	1.a	$1$	$4$	$4$	$6.962$	4.4.6737209.1	None	✓	$1$	$0$	\(-8\)	\(2\)	\(16\)	\(1\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{3}q^{3}+4q^{4}+(4+2\beta _{1}+\beta _{3})q^{5}+\cdots\)
118.4.a.f	$118$	$4$	118.a	1.a	$1$	$5$	$5$	$6.962$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(7\)	\(17\)	\(14\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+(1+\beta _{1})q^{3}+4q^{4}+(3-\beta _{4})q^{5}+\cdots\)
118.4.c.a	$118$	$4$	118.c	59.c	$29$	$196$	$7$	$6.962$		None		$2$	$0$	\(-14\)	\(1\)	\(-9\)	\(28\)			$\mathrm{SU}(2)[C_{29}]$
118.4.c.b	$118$	$4$	118.c	59.c	$29$	$224$	$8$	$6.962$		None		$2$	$0$	\(16\)	\(5\)	\(-7\)	\(-16\)			$\mathrm{SU}(2)[C_{29}]$
118.5.b.a	$118$	$5$	118.b	59.b	$2$	$20$	$20$	$12.198$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$2$	$0$	\(0\)	\(28\)	\(-12\)	\(80\)		$2^{22}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+(1+\beta _{1})q^{3}-8q^{4}+(-1+\cdots)q^{5}+\cdots\)
118.5.d.a	$118$	$5$	118.d	59.d	$58$	$560$	$20$	$12.198$		None		$2$	$0$	\(0\)	\(-28\)	\(12\)	\(-80\)			$\mathrm{SU}(2)[C_{58}]$
118.6.a.a	$118$	$6$	118.a	1.a	$1$	$5$	$5$	$18.925$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(20\)	\(-22\)	\(-110\)	\(-210\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-4-\beta _{2}-\beta _{4})q^{3}+2^{4}q^{4}+\cdots\)
118.6.a.b	$118$	$6$	118.a	1.a	$1$	$6$	$6$	$18.925$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-24\)	\(-23\)	\(-73\)	\(25\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-4+\beta _{1})q^{3}+2^{4}q^{4}+(-12+\cdots)q^{5}+\cdots\)
118.6.a.c	$118$	$6$	118.a	1.a	$1$	$6$	$6$	$18.925$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(4\)	\(52\)	\(-73\)	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+(1-\beta _{1})q^{3}+2^{4}q^{4}+(8+\beta _{2}+\cdots)q^{5}+\cdots\)
118.6.a.d	$118$	$6$	118.a	1.a	$1$	$8$	$8$	$18.925$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(32\)	\(23\)	\(15\)	\(182\)	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+4q^{2}+(3-\beta _{1})q^{3}+2^{4}q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
118.7.b.a	$118$	$7$	118.b	59.b	$2$	$30$	$30$	$27.146$		None		$2$	$0$	\(0\)	\(-44\)	\(-288\)	\(-408\)			$\mathrm{SU}(2)[C_{2}]$
118.8.a.a	$118$	$8$	118.a	1.a	$1$	$7$	$7$	$36.861$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(56\)	\(-83\)	\(-459\)	\(-984\)	$-$	$2^{2}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+8q^{2}+(-12+\beta _{3})q^{3}+2^{6}q^{4}+(-66+\cdots)q^{5}+\cdots\)
118.8.a.b	$118$	$8$	118.a	1.a	$1$	$8$	$8$	$36.861$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-64\)	\(2\)	\(-98\)	\(-387\)	$-$	$2^{4}\cdot 3^{7}$	$\mathrm{SU}(2)$	\(q-8q^{2}+\beta _{1}q^{3}+2^{6}q^{4}+(-12-\beta _{1}+\cdots)q^{5}+\cdots\)
118.8.a.c	$118$	$8$	118.a	1.a	$1$	$8$	$8$	$36.861$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-64\)	\(83\)	\(527\)	\(-1073\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-8q^{2}+(10+\beta _{1})q^{3}+2^{6}q^{4}+(65+\cdots)q^{5}+\cdots\)
118.8.a.d	$118$	$8$	118.a	1.a	$1$	$10$	$10$	$36.861$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(80\)	\(52\)	\(166\)	\(1760\)	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}+(5+\beta _{1})q^{3}+2^{6}q^{4}+(17-\beta _{1}+\cdots)q^{5}+\cdots\)
118.9.b.a	$118$	$9$	118.b	59.b	$2$	$40$	$40$	$48.071$		None		$2$	$0$	\(0\)	\(28\)	\(588\)	\(160\)			$\mathrm{SU}(2)[C_{2}]$
118.10.a.a	$118$	$10$	118.a	1.a	$1$	$9$	$9$	$60.774$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(144\)	\(-91\)	\(-523\)	\(-9576\)	$+$	$2^{6}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(-10-\beta _{1})q^{3}+2^{8}q^{4}+\cdots\)
118.10.a.b	$118$	$10$	118.a	1.a	$1$	$11$	$11$	$60.774$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-176\)	\(-152\)	\(-1880\)	\(-1553\)	$+$	$2^{13}\cdot 3$	$\mathrm{SU}(2)$	\(q-2^{4}q^{2}+(-14+\beta _{1})q^{3}+2^{8}q^{4}+\cdots\)
118.10.a.c	$118$	$10$	118.a	1.a	$1$	$11$	$11$	$60.774$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-176\)	\(91\)	\(1245\)	\(-6355\)	$-$	$2^{7}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q-2^{4}q^{2}+(8+\beta _{1})q^{3}+2^{8}q^{4}+(114+\cdots)q^{5}+\cdots\)
118.10.a.d	$118$	$10$	118.a	1.a	$1$	$12$	$12$	$60.774$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(192\)	\(314\)	\(2602\)	\(9632\)	$-$	$2^{14}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(26+\beta _{1})q^{3}+2^{8}q^{4}+(6^{3}+\cdots)q^{5}+\cdots\)
118.11.b.a	$118$	$11$	118.b	59.b	$2$	$50$	$50$	$74.972$		None		$2$	$0$	\(0\)	\(-80\)	\(6612\)	\(18392\)			$\mathrm{SU}(2)[C_{2}]$
118.12.a.a	$118$	$12$	118.a	1.a	$1$	$12$	$12$	$90.664$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(384\)	\(-509\)	\(-9673\)	\(-78778\)	$-$	$2^{16}\cdot 3^{8}$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+(-42-\beta _{1})q^{3}+2^{10}q^{4}+\cdots\)
118.12.a.b	$118$	$12$	118.a	1.a	$1$	$14$	$14$	$90.664$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-448\)	\(-220\)	\(-3994\)	\(44111\)	$-$	$2^{15}\cdot 3^{10}$	$\mathrm{SU}(2)$	\(q-2^{5}q^{2}+(-2^{4}+\beta _{1})q^{3}+2^{10}q^{4}+\cdots\)
118.12.a.c	$118$	$12$	118.a	1.a	$1$	$14$	$14$	$90.664$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(-448\)	\(509\)	\(11631\)	\(10497\)	$+$	$2^{17}\cdot 3\cdot 11$	$\mathrm{SU}(2)$	\(q-2^{5}q^{2}+(6^{2}+\beta _{1})q^{3}+2^{10}q^{4}+(830+\cdots)q^{5}+\cdots\)
118.12.a.d	$118$	$12$	118.a	1.a	$1$	$15$	$15$	$90.664$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(480\)	\(706\)	\(5952\)	\(55678\)	$+$	$2^{16}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+2^{5}q^{2}+(47+\beta _{1})q^{3}+2^{10}q^{4}+(397+\cdots)q^{5}+\cdots\)
118.13.b.a	$118$	$13$	118.b	59.b	$2$	$60$	$60$	$107.851$		None		$2$	$0$	\(0\)	\(280\)	\(-21312\)	\(-191760\)			$\mathrm{SU}(2)[C_{2}]$
118.14.a.a	$118$	$14$	118.a	1.a	$1$	$14$	$14$	$126.532$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(896\)	\(-2734\)	\(-12150\)	\(-420522\)	$+$	$2^{16}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+(-195-\beta _{1})q^{3}+2^{12}q^{4}+\cdots\)
118.14.a.b	$118$	$14$	118.a	1.a	$1$	$15$	$15$	$126.532$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(-960\)	\(-911\)	\(-54273\)	\(518257\)	$+$	$2^{20}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+(-61+\beta _{1})q^{3}+2^{12}q^{4}+\cdots\)
118.14.a.c	$118$	$14$	118.a	1.a	$1$	$15$	$15$	$126.532$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-960\)	\(1276\)	\(23852\)	\(282959\)	$-$	$2^{19}\cdot 3^{13}$	$\mathrm{SU}(2)$	\(q-2^{6}q^{2}+(85+\beta _{1})q^{3}+2^{12}q^{4}+(1590+\cdots)q^{5}+\cdots\)
118.14.a.d	$118$	$14$	118.a	1.a	$1$	$17$	$17$	$126.532$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(1088\)	\(911\)	\(65975\)	\(520670\)	$-$	$2^{23}\cdot 3^{15}$	$\mathrm{SU}(2)$	\(q+2^{6}q^{2}+(54-\beta _{1})q^{3}+2^{12}q^{4}+(3884+\cdots)q^{5}+\cdots\)
118.15.b.a	$118$	$15$	118.b	59.b	$2$	$70$	$70$	$146.708$		None		$2$	$0$	\(0\)	\(2080\)	\(-143988\)	\(1016392\)			$\mathrm{SU}(2)[C_{2}]$
118.16.a.a	$118$	$16$	118.a	1.a	$1$	$17$	$17$	$168.378$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$1$	\(2176\)	\(-4166\)	\(-171104\)	\(-3836728\)	$-$	$2^{24}\cdot 3^{15}\cdot 5^{4}$	$\mathrm{SU}(2)$	\(q+2^{7}q^{2}+(-245-\beta _{1})q^{3}+2^{14}q^{4}+\cdots\)
118.16.a.b	$118$	$16$	118.a	1.a	$1$	$18$	$18$	$168.378$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$1$	\(-2304\)	\(-6769\)	\(-317223\)	\(-220723\)	$-$	$2^{29}\cdot 3^{14}\cdot 5^{4}$	$\mathrm{SU}(2)$	\(q-2^{7}q^{2}+(-376-\beta _{1})q^{3}+2^{14}q^{4}+\cdots\)
118.16.a.c	$118$	$16$	118.a	1.a	$1$	$18$	$18$	$168.378$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(-2304\)	\(-208\)	\(73402\)	\(-1867809\)	$+$	$2^{27}\cdot 3^{5}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q-2^{7}q^{2}+(-12+\beta _{1})q^{3}+2^{14}q^{4}+\cdots\)
118.16.a.d	$118$	$16$	118.a	1.a	$1$	$20$	$20$	$168.378$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(2560\)	\(6769\)	\(219521\)	\(2751616\)	$+$	$2^{32}\cdot 3^{6}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q+2^{7}q^{2}+(338+\beta _{1})q^{3}+2^{14}q^{4}+\cdots\)
118.17.b.a	$118$	$17$	118.b	59.b	$2$	$80$	$80$	$191.543$		None		$2$	$0$	\(0\)	\(-19628\)	\(676788\)	\(-767680\)			$\mathrm{SU}(2)[C_{2}]$
118.18.a.a	$118$	$18$	118.a	1.a	$1$	$19$	$19$	$216.202$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$1$	\(4864\)	\(-24340\)	\(-1207748\)	\(3702776\)	$+$	$2^{35}\cdot 3^{10}$	$\mathrm{SU}(2)$	\(q+2^{8}q^{2}+(-1281-\beta _{1})q^{3}+2^{16}q^{4}+\cdots\)