1148.1.o.a |
\(2\) |
\(0.573\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-41}) \) |
None |
\(-1\) |
\(-1\) |
\(1\) |
\(1\) |
|
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots\)
|
1148.1.o.b |
\(2\) |
\(0.573\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-41}) \) |
None |
\(-1\) |
\(1\) |
\(1\) |
\(-1\) |
|
\(q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots\)
|
1148.1.o.c |
\(4\) |
\(0.573\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-41}) \) |
None |
\(-2\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(q+\zeta_{12}^{4}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
|
1148.1.o.d |
\(8\) |
\(0.573\) |
\(\Q(\zeta_{24})\) |
\(\Q(\sqrt{-41}) \) |
None |
\(4\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{24}^{8}q^{2}+(-\zeta_{24}^{9}+\zeta_{24}^{11})q^{3}+\cdots\)
|
1148.1.bc.a |
\(8\) |
\(0.573\) |
\(\Q(\zeta_{20})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+\zeta_{20}^{5}q^{3}-\zeta_{20}q^{5}-\zeta_{20}^{2}q^{7}+(\zeta_{20}^{2}+\cdots)q^{11}+\cdots\)
|
1148.1.bj.a |
\(8\) |
\(0.573\) |
\(\Q(\zeta_{24})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
|
1148.2.a.a |
\(2\) |
\(9.167\) |
\(\Q(\sqrt{13}) \) |
None |
None |
\(0\) |
\(-3\) |
\(-3\) |
\(2\) |
\(+\) |
\(q+(-1-\beta )q^{3}+(-1-\beta )q^{5}+q^{7}+\cdots\)
|
1148.2.a.b |
\(3\) |
\(9.167\) |
\(\Q(\zeta_{18})^+\) |
None |
None |
\(0\) |
\(-3\) |
\(0\) |
\(3\) |
\(+\) |
\(q+(-1+\beta _{1})q^{3}+(-2\beta _{1}+2\beta _{2})q^{5}+\cdots\)
|
1148.2.a.c |
\(5\) |
\(9.167\) |
5.5.470117.1 |
None |
None |
\(0\) |
\(-2\) |
\(-1\) |
\(-5\) |
\(+\) |
\(q-\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}-q^{7}+\cdots\)
|
1148.2.a.d |
\(5\) |
\(9.167\) |
5.5.287349.1 |
None |
None |
\(0\) |
\(2\) |
\(-3\) |
\(-5\) |
\(-\) |
\(q+\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+\cdots\)
|
1148.2.a.e |
\(5\) |
\(9.167\) |
5.5.1935333.1 |
None |
None |
\(0\) |
\(2\) |
\(3\) |
\(5\) |
\(-\) |
\(q+\beta _{1}q^{3}+(1+\beta _{4})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
|
1148.2.d.a |
\(20\) |
\(9.167\) |
\(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
\(q+\beta _{12}q^{3}+\beta _{2}q^{5}-\beta _{9}q^{7}+(-1-\beta _{7}+\cdots)q^{9}+\cdots\)
|
1148.2.i.a |
\(2\) |
\(9.167\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(3\) |
\(5\) |
|
\(q+(-1+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots\)
|
1148.2.i.b |
\(2\) |
\(9.167\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(1\) |
\(1\) |
\(-4\) |
|
\(q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
|
1148.2.i.c |
\(2\) |
\(9.167\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(1\) |
\(1\) |
\(4\) |
|
\(q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots\)
|
1148.2.i.d |
\(16\) |
\(9.167\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{1}q^{3}+\beta _{14}q^{5}+(-\beta _{5}+\beta _{8})q^{7}+\cdots\)
|
1148.2.i.e |
\(30\) |
\(9.167\) |
|
None |
None |
\(0\) |
\(1\) |
\(-3\) |
\(3\) |
|
|
1148.2.k.a |
\(8\) |
\(9.167\) |
8.0.110166016.2 |
None |
None |
\(0\) |
\(-4\) |
\(0\) |
\(0\) |
|
\(q+(-1-\beta _{5})q^{3}+(-1+\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
|
1148.2.k.b |
\(36\) |
\(9.167\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
1148.2.n.a |
\(8\) |
\(9.167\) |
8.0.64000000.2 |
None |
None |
\(0\) |
\(-4\) |
\(-2\) |
\(-2\) |
|
\(q+(-\beta _{3}+\beta _{4}+\beta _{6}-\beta _{7})q^{3}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
|
1148.2.n.b |
\(8\) |
\(9.167\) |
8.0.64000000.2 |
None |
None |
\(0\) |
\(8\) |
\(-2\) |
\(-2\) |
|
\(q+(1+\beta _{5})q^{3}+(\beta _{2}+\beta _{7})q^{5}+\beta _{4}q^{7}+\cdots\)
|
1148.2.n.c |
\(16\) |
\(9.167\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(-2\) |
\(-13\) |
\(4\) |
|
\(q+(-\beta _{1}-\beta _{2}+\beta _{5}-\beta _{6})q^{3}+(-1+\cdots)q^{5}+\cdots\)
|
1148.2.n.d |
\(24\) |
\(9.167\) |
|
None |
None |
\(0\) |
\(-10\) |
\(4\) |
\(-6\) |
|
|
1148.2.n.e |
\(24\) |
\(9.167\) |
|
None |
None |
\(0\) |
\(12\) |
\(17\) |
\(6\) |
|
|
1148.2.r.a |
\(56\) |
\(9.167\) |
|
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(0\) |
|
|
1148.2.ba.a |
\(80\) |
\(9.167\) |
|
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
|
1148.3.b.a |
\(52\) |
\(31.281\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-20\) |
|
|
1148.3.g.a |
\(56\) |
\(31.281\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
1148.4.a.a |
\(15\) |
\(67.734\) |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
None |
None |
\(0\) |
\(-14\) |
\(-24\) |
\(105\) |
\(-\) |
\(q+(-1+\beta _{1})q^{3}+(-2-\beta _{3})q^{5}+7q^{7}+\cdots\)
|
1148.4.a.b |
\(15\) |
\(67.734\) |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(6\) |
\(-105\) |
\(-\) |
\(q+\beta _{1}q^{3}-\beta _{4}q^{5}-7q^{7}+(6+\beta _{2})q^{9}+\cdots\)
|
1148.4.a.c |
\(15\) |
\(67.734\) |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
None |
None |
\(0\) |
\(10\) |
\(6\) |
\(105\) |
\(+\) |
\(q+(1-\beta _{1})q^{3}+\beta _{3}q^{5}+7q^{7}+(11-\beta _{1}+\cdots)q^{9}+\cdots\)
|
1148.4.a.d |
\(15\) |
\(67.734\) |
\(\mathbb{Q}[x]/(x^{15} - \cdots)\) |
None |
None |
\(0\) |
\(12\) |
\(-4\) |
\(-105\) |
\(+\) |
\(q+(1-\beta _{1})q^{3}+\beta _{4}q^{5}-7q^{7}+(6-\beta _{1}+\cdots)q^{9}+\cdots\)
|
1148.4.d.a |
\(64\) |
\(67.734\) |
|
None |
None |
\(0\) |
\(0\) |
\(20\) |
\(0\) |
|
|