350.2.a.a |
\(1\) |
\(2.795\) |
\(\Q\) |
None |
\(-1\) |
\(-1\) |
\(0\) |
\(-1\) |
\(+\) |
\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
|
350.2.a.b |
\(1\) |
\(2.795\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(1\) |
\(-\) |
\(q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}+4q^{11}+\cdots\)
|
350.2.a.c |
\(1\) |
\(2.795\) |
\(\Q\) |
None |
\(-1\) |
\(3\) |
\(0\) |
\(1\) |
\(-\) |
\(q-q^{2}+3q^{3}+q^{4}-3q^{6}+q^{7}-q^{8}+\cdots\)
|
350.2.a.d |
\(1\) |
\(2.795\) |
\(\Q\) |
None |
\(1\) |
\(-3\) |
\(0\) |
\(-1\) |
\(+\) |
\(q+q^{2}-3q^{3}+q^{4}-3q^{6}-q^{7}+q^{8}+\cdots\)
|
350.2.a.e |
\(1\) |
\(2.795\) |
\(\Q\) |
None |
\(1\) |
\(1\) |
\(0\) |
\(1\) |
\(-\) |
\(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
|
350.2.a.f |
\(1\) |
\(2.795\) |
\(\Q\) |
None |
\(1\) |
\(2\) |
\(0\) |
\(-1\) |
\(-\) |
\(q+q^{2}+2q^{3}+q^{4}+2q^{6}-q^{7}+q^{8}+\cdots\)
|
350.2.a.g |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{6}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(-2\) |
\(-\) |
\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{7}-q^{8}+\cdots\)
|
350.2.a.h |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{6}) \) |
None |
\(2\) |
\(0\) |
\(0\) |
\(2\) |
\(-\) |
\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{7}+q^{8}+\cdots\)
|
350.2.c.a |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-iq^{7}+\cdots\)
|
350.2.c.b |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+iq^{2}-q^{4}-iq^{7}-iq^{8}+3q^{9}+\cdots\)
|
350.2.c.c |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+iq^{2}-iq^{3}-q^{4}+q^{6}+iq^{7}-iq^{8}+\cdots\)
|
350.2.c.d |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+iq^{2}-2iq^{3}-q^{4}+2q^{6}-iq^{7}+\cdots\)
|
350.2.e.a |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(-2\) |
\(0\) |
\(-5\) |
|
\(q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.b |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(-2\) |
\(0\) |
\(4\) |
|
\(q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.c |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots\)
|
350.2.e.d |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(1\) |
|
\(q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(2-3\zeta_{6})q^{7}+\cdots\)
|
350.2.e.e |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(1\) |
|
\(q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.f |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(3\) |
\(0\) |
\(5\) |
|
\(q-\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.g |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-3\) |
\(0\) |
\(-5\) |
|
\(q+\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.h |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(-2\) |
\(0\) |
\(4\) |
|
\(q+\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.i |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(0\) |
\(0\) |
\(-1\) |
|
\(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-2+3\zeta_{6})q^{7}+\cdots\)
|
350.2.e.j |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(3-2\zeta_{6})q^{7}+\cdots\)
|
350.2.e.k |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(2\) |
\(0\) |
\(5\) |
|
\(q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.e.l |
\(2\) |
\(2.795\) |
\(\Q(\sqrt{-3}) \) |
None |
\(1\) |
\(3\) |
\(0\) |
\(-1\) |
|
\(q+\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
350.2.g.a |
\(8\) |
\(2.795\) |
\(\Q(\zeta_{16})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
\(q+\zeta_{16}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{3}q^{4}+(\zeta_{16}^{4}+\cdots)q^{6}+\cdots\)
|
350.2.g.b |
\(16\) |
\(2.795\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+\beta _{3}q^{3}+\beta _{10}q^{4}+\beta _{15}q^{6}+\cdots\)
|
350.2.h.a |
\(8\) |
\(2.795\) |
\(\Q(\zeta_{15})\) |
None |
\(-2\) |
\(3\) |
\(0\) |
\(8\) |
|
\(q+\zeta_{15}^{4}q^{2}+(-\zeta_{15}^{3}-\zeta_{15}^{4}+\zeta_{15}^{6}+\cdots)q^{3}+\cdots\)
|
350.2.h.b |
\(12\) |
\(2.795\) |
\(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
None |
\(3\) |
\(1\) |
\(-5\) |
\(-12\) |
|
\(q+\beta _{5}q^{2}+(\beta _{1}-\beta _{3}+\beta _{7})q^{3}-\beta _{3}q^{4}+\cdots\)
|
350.2.h.c |
\(16\) |
\(2.795\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
\(-4\) |
\(1\) |
\(-4\) |
\(-16\) |
|
\(q+\beta _{6}q^{2}-\beta _{10}q^{3}-\beta _{1}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
|
350.2.h.d |
\(20\) |
\(2.795\) |
\(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
None |
\(5\) |
\(3\) |
\(-5\) |
\(20\) |
|
\(q+\beta _{14}q^{2}+\beta _{1}q^{3}+\beta _{6}q^{4}+(\beta _{10}+\beta _{13}+\cdots)q^{5}+\cdots\)
|
350.2.j.a |
\(4\) |
\(2.795\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+(-2\zeta_{12}+2\zeta_{12}^{3})q^{3}+\cdots\)
|
350.2.j.b |
\(4\) |
\(2.795\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+(-\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
350.2.j.c |
\(4\) |
\(2.795\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(3\zeta_{12}-2\zeta_{12}^{3})q^{7}+\cdots\)
|
350.2.j.d |
\(4\) |
\(2.795\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
350.2.j.e |
\(4\) |
\(2.795\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
350.2.j.f |
\(4\) |
\(2.795\) |
\(\Q(\zeta_{12})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}q^{2}+(3\zeta_{12}-3\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
|
350.2.m.a |
\(24\) |
\(2.795\) |
|
None |
\(0\) |
\(0\) |
\(10\) |
\(0\) |
|
|
350.2.m.b |
\(40\) |
\(2.795\) |
|
None |
\(0\) |
\(0\) |
\(6\) |
\(0\) |
|
|
350.2.o.a |
\(8\) |
\(2.795\) |
\(\Q(\zeta_{24})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{24}^{7}q^{2}+(2\zeta_{24}-\zeta_{24}^{3}-\zeta_{24}^{5}+\cdots)q^{3}+\cdots\)
|
350.2.o.b |
\(8\) |
\(2.795\) |
\(\Q(\zeta_{24})\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{24}^{7}q^{2}+(2\zeta_{24}+\zeta_{24}^{3}-\zeta_{24}^{5}+\cdots)q^{3}+\cdots\)
|
350.2.o.c |
\(16\) |
\(2.795\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
\(q+\beta _{13}q^{2}+(\beta _{3}-\beta _{7}-\beta _{15})q^{3}+(\beta _{11}+\cdots)q^{4}+\cdots\)
|
350.2.o.d |
\(16\) |
\(2.795\) |
16.0.\(\cdots\).1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+(-\beta _{5}+\beta _{7})q^{2}+(-\beta _{4}-\beta _{13}+\beta _{14}+\cdots)q^{3}+\cdots\)
|
350.2.q.a |
\(8\) |
\(2.795\) |
\(\Q(\zeta_{15})\) |
None |
\(-1\) |
\(-3\) |
\(0\) |
\(-4\) |
|
\(q-\zeta_{15}q^{2}+(1-\zeta_{15}^{2}+\zeta_{15}^{3}-\zeta_{15}^{4}+\cdots)q^{3}+\cdots\)
|
350.2.q.b |
\(72\) |
\(2.795\) |
|
None |
\(-9\) |
\(1\) |
\(0\) |
\(8\) |
|
|
350.2.q.c |
\(80\) |
\(2.795\) |
|
None |
\(10\) |
\(2\) |
\(-2\) |
\(4\) |
|
|
350.2.r.a |
\(160\) |
\(2.795\) |
|
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
|
350.2.u.a |
\(160\) |
\(2.795\) |
|
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
|
|
350.2.x.a |
\(320\) |
\(2.795\) |
|
None |
\(0\) |
\(0\) |
\(12\) |
\(-8\) |
|
|
350.3.b.a |
\(4\) |
\(9.537\) |
4.0.7168.1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(-12\) |
|
\(q+\beta _{3}q^{2}+\beta _{1}q^{3}+2q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{6}+\cdots\)
|
350.3.b.b |
\(4\) |
\(9.537\) |
4.0.7168.1 |
None |
\(0\) |
\(0\) |
\(0\) |
\(12\) |
|
\(q-\beta _{3}q^{2}+\beta _{1}q^{3}+2q^{4}+(\beta _{1}-\beta _{2}+\cdots)q^{6}+\cdots\)
|