4005.2.a.a |
\(1\) |
\(31.980\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(4\) |
|
\(-\) |
\(-\) |
\(-\) |
\(q-q^{2}-q^{4}+q^{5}+4q^{7}+3q^{8}-q^{10}+\cdots\)
|
4005.2.a.b |
\(1\) |
\(31.980\) |
\(\Q\) |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-4\) |
|
\(+\) |
\(+\) |
\(+\) |
\(q-2q^{4}-q^{5}-4q^{7}-2q^{11}+4q^{13}+\cdots\)
|
4005.2.a.c |
\(1\) |
\(31.980\) |
\(\Q\) |
None |
\(0\) |
\(0\) |
\(1\) |
\(-4\) |
|
\(+\) |
\(-\) |
\(-\) |
\(q-2q^{4}+q^{5}-4q^{7}+2q^{11}+4q^{13}+\cdots\)
|
4005.2.a.d |
\(1\) |
\(31.980\) |
\(\Q\) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(0\) |
|
\(-\) |
\(+\) |
\(+\) |
\(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-4q^{11}+\cdots\)
|
4005.2.a.e |
\(2\) |
\(31.980\) |
\(\Q(\sqrt{2}) \) |
None |
\(-2\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(-\) |
\(+\) |
\(-\) |
\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-\beta q^{7}+\cdots\)
|
4005.2.a.f |
\(2\) |
\(31.980\) |
\(\Q(\sqrt{3}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(-2\) |
|
\(-\) |
\(+\) |
\(-\) |
\(q+\beta q^{2}+q^{4}-q^{5}+(-1+\beta )q^{7}-\beta q^{8}+\cdots\)
|
4005.2.a.g |
\(2\) |
\(31.980\) |
\(\Q(\sqrt{17}) \) |
None |
\(1\) |
\(0\) |
\(-2\) |
\(0\) |
|
\(-\) |
\(+\) |
\(+\) |
\(q+\beta q^{2}+(2+\beta )q^{4}-q^{5}+(4+\beta )q^{8}+\cdots\)
|
4005.2.a.h |
\(2\) |
\(31.980\) |
\(\Q(\sqrt{5}) \) |
None |
\(2\) |
\(0\) |
\(2\) |
\(2\) |
|
\(-\) |
\(-\) |
\(-\) |
\(q+q^{2}-q^{4}+q^{5}+(1+\beta )q^{7}-3q^{8}+\cdots\)
|
4005.2.a.i |
\(3\) |
\(31.980\) |
\(\Q(\zeta_{18})^+\) |
None |
\(0\) |
\(0\) |
\(-3\) |
\(3\) |
|
\(-\) |
\(+\) |
\(+\) |
\(q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(1+\beta _{2})q^{7}+\cdots\)
|
4005.2.a.j |
\(3\) |
\(31.980\) |
\(\Q(\zeta_{14})^+\) |
None |
\(2\) |
\(0\) |
\(-3\) |
\(-5\) |
|
\(-\) |
\(+\) |
\(-\) |
\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
|
4005.2.a.k |
\(4\) |
\(31.980\) |
4.4.8069.1 |
None |
\(-1\) |
\(0\) |
\(-4\) |
\(12\) |
|
\(-\) |
\(+\) |
\(-\) |
\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+3q^{7}+\cdots\)
|
4005.2.a.l |
\(4\) |
\(31.980\) |
4.4.725.1 |
None |
\(-1\) |
\(0\) |
\(4\) |
\(2\) |
|
\(-\) |
\(-\) |
\(-\) |
\(q+(-1+\beta _{1}+\beta _{2})q^{2}+(\beta _{1}+\beta _{3})q^{4}+\cdots\)
|
4005.2.a.m |
\(4\) |
\(31.980\) |
4.4.2777.1 |
None |
\(0\) |
\(0\) |
\(4\) |
\(-7\) |
|
\(-\) |
\(-\) |
\(+\) |
\(q-\beta _{2}q^{2}+(1-\beta _{3})q^{4}+q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
|
4005.2.a.n |
\(6\) |
\(31.980\) |
6.6.10407557.1 |
None |
\(4\) |
\(0\) |
\(6\) |
\(1\) |
|
\(-\) |
\(-\) |
\(-\) |
\(q+(1+\beta _{2})q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+q^{5}+\cdots\)
|
4005.2.a.o |
\(7\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{7} - \cdots)\) |
None |
\(4\) |
\(0\) |
\(-7\) |
\(-16\) |
|
\(-\) |
\(+\) |
\(+\) |
\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{3})q^{4}-q^{5}+\cdots\)
|
4005.2.a.p |
\(8\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
None |
\(-1\) |
\(0\) |
\(8\) |
\(-6\) |
|
\(-\) |
\(-\) |
\(+\) |
\(q-\beta _{1}q^{2}+(1-\beta _{1}-\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)
|
4005.2.a.q |
\(9\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{9} - \cdots)\) |
None |
\(-5\) |
\(0\) |
\(9\) |
\(-3\) |
|
\(-\) |
\(-\) |
\(+\) |
\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
|
4005.2.a.r |
\(10\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(-6\) |
\(0\) |
\(-10\) |
\(7\) |
|
\(-\) |
\(+\) |
\(+\) |
\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
|
4005.2.a.s |
\(10\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(-1\) |
\(0\) |
\(-10\) |
\(-1\) |
|
\(-\) |
\(+\) |
\(-\) |
\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots\)
|
4005.2.a.t |
\(10\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(10\) |
\(9\) |
|
\(-\) |
\(-\) |
\(-\) |
\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
|
4005.2.a.u |
\(12\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(-3\) |
\(0\) |
\(12\) |
\(-8\) |
|
\(+\) |
\(-\) |
\(-\) |
\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
|
4005.2.a.v |
\(12\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(3\) |
\(0\) |
\(-12\) |
\(-8\) |
|
\(+\) |
\(+\) |
\(+\) |
\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
|
4005.2.a.w |
\(17\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{17} - \cdots)\) |
None |
\(-5\) |
\(0\) |
\(-17\) |
\(12\) |
|
\(+\) |
\(+\) |
\(-\) |
\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{8}+\cdots)q^{7}+\cdots\)
|
4005.2.a.x |
\(17\) |
\(31.980\) |
\(\mathbb{Q}[x]/(x^{17} - \cdots)\) |
None |
\(5\) |
\(0\) |
\(17\) |
\(12\) |
|
\(+\) |
\(-\) |
\(+\) |
\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(1+\beta _{8}+\cdots)q^{7}+\cdots\)
|