1512.1.e.a |
\(1\) |
\(0.755\) |
\(\Q\) |
\(\Q(\sqrt{-42}) \) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(-1\) |
|
\(q-q^{2}+q^{4}-q^{7}-q^{8}+q^{13}+q^{14}+\cdots\)
|
1512.1.e.b |
\(1\) |
\(0.755\) |
\(\Q\) |
\(\Q(\sqrt{-42}) \) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(1\) |
|
\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{13}-q^{14}+\cdots\)
|
1512.1.e.c |
\(1\) |
\(0.755\) |
\(\Q\) |
\(\Q(\sqrt{-42}) \) |
None |
\(1\) |
\(0\) |
\(0\) |
\(-1\) |
|
\(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{13}-q^{14}+\cdots\)
|
1512.1.e.d |
\(1\) |
\(0.755\) |
\(\Q\) |
\(\Q(\sqrt{-42}) \) |
None |
\(1\) |
\(0\) |
\(0\) |
\(1\) |
|
\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{13}+q^{14}+\cdots\)
|
1512.1.l.a |
\(4\) |
\(0.755\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-\zeta_{12}^{3}q^{2}-q^{4}+(\zeta_{12}-\zeta_{12}^{5})q^{5}+\cdots\)
|
1512.1.ba.a |
\(4\) |
\(0.755\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{5}+\cdots\)
|
1512.1.bd.a |
\(2\) |
\(0.755\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(-1\) |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\cdots\)
|
1512.1.bd.b |
\(2\) |
\(0.755\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(-1\) |
\(0\) |
\(1\) |
\(2\) |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+q^{7}+\cdots\)
|
1512.1.bd.c |
\(2\) |
\(0.755\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(2\) |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+q^{7}+\cdots\)
|
1512.1.bd.d |
\(2\) |
\(0.755\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-6}) \) |
None |
\(1\) |
\(0\) |
\(2\) |
\(-1\) |
|
\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{7}+\cdots\)
|
1512.1.bn.a |
\(2\) |
\(0.755\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-14}) \) |
None |
\(1\) |
\(0\) |
\(-1\) |
\(-1\) |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots\)
|
1512.1.bn.b |
\(2\) |
\(0.755\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-14}) \) |
None |
\(1\) |
\(0\) |
\(1\) |
\(-1\) |
|
\(q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots\)
|
1512.1.bn.c |
\(4\) |
\(0.755\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(2\) |
|
\(q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(\zeta_{12}+\zeta_{12}^{3}+\cdots)q^{5}+\cdots\)
|
1512.1.bw.a |
\(4\) |
\(0.755\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{7}+\cdots\)
|
1512.1.bw.b |
\(4\) |
\(0.755\) |
\(\Q(\zeta_{12})\) |
\(\Q(\sqrt{-6}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+(-\zeta_{12}-\zeta_{12}^{3}+\cdots)q^{5}+\cdots\)
|
1512.1.ce.a |
\(4\) |
\(0.755\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}q^{5}+\zeta_{12}^{3}q^{7}+\cdots\)
|
1512.1.cu.a |
\(4\) |
\(0.755\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+\beta _{1}q^{5}-\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{17}+(-1+\cdots)q^{19}+\cdots\)
|
1512.1.ef.a |
\(6\) |
\(0.755\) |
\(\Q(\zeta_{18})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(-3\) |
\(6\) |
\(0\) |
|
\(q-\zeta_{18}^{5}q^{2}+\zeta_{18}^{6}q^{3}-\zeta_{18}q^{4}+(1+\cdots)q^{5}+\cdots\)
|
1512.1.ef.b |
\(6\) |
\(0.755\) |
\(\Q(\zeta_{18})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(3\) |
\(-6\) |
\(0\) |
|
\(q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{6}q^{3}-\zeta_{18}q^{4}+(-1+\cdots)q^{5}+\cdots\)
|
1512.1.ef.c |
\(12\) |
\(0.755\) |
\(\Q(\zeta_{36})\) |
\(\Q(\sqrt{-14}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{36}^{10}q^{2}+\zeta_{36}^{3}q^{3}-\zeta_{36}^{2}q^{4}+\cdots\)
|
1512.2.a.a |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(-1\) |
\(-\) |
\(q-4q^{5}-q^{7}-4q^{11}-q^{13}-3q^{17}+\cdots\)
|
1512.2.a.b |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{5}-q^{7}-6q^{11}+4q^{13}+3q^{17}+\cdots\)
|
1512.2.a.c |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(-\) |
\(q-q^{5}-q^{7}-q^{11}-4q^{13}+6q^{17}+\cdots\)
|
1512.2.a.d |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(+\) |
\(q-q^{5}-q^{7}+2q^{11}-4q^{13}+3q^{17}+\cdots\)
|
1512.2.a.e |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(1\) |
\(+\) |
\(q-q^{5}+q^{7}-3q^{11}-2q^{17}+q^{19}+\cdots\)
|
1512.2.a.f |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(1\) |
\(+\) |
\(q-q^{5}+q^{7}-6q^{13}+7q^{17}-8q^{19}+\cdots\)
|
1512.2.a.g |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(+\) |
\(q+q^{5}-q^{7}-2q^{11}-4q^{13}-3q^{17}+\cdots\)
|
1512.2.a.h |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(+\) |
\(q+q^{5}-q^{7}+q^{11}-4q^{13}-6q^{17}+\cdots\)
|
1512.2.a.i |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-1\) |
\(-\) |
\(q+q^{5}-q^{7}+6q^{11}+4q^{13}-3q^{17}+\cdots\)
|
1512.2.a.j |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
\(+\) |
\(q+q^{5}+q^{7}-6q^{13}-7q^{17}-8q^{19}+\cdots\)
|
1512.2.a.k |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(1\) |
\(-\) |
\(q+q^{5}+q^{7}+3q^{11}+2q^{17}+q^{19}+\cdots\)
|
1512.2.a.l |
\(1\) |
\(12.073\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(-1\) |
\(-\) |
\(q+4q^{5}-q^{7}+4q^{11}-q^{13}+3q^{17}+\cdots\)
|
1512.2.a.m |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(0\) |
\(-4\) |
\(2\) |
\(+\) |
\(q+(-2+\beta )q^{5}+q^{7}-3\beta q^{11}+2\beta q^{13}+\cdots\)
|
1512.2.a.n |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{33}) \) |
None |
None |
\(0\) |
\(0\) |
\(-1\) |
\(2\) |
\(-\) |
\(q-\beta q^{5}+q^{7}+(1+\beta )q^{13}-q^{17}+(2+\cdots)q^{19}+\cdots\)
|
1512.2.a.o |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{7}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
\(+\) |
\(q+\beta q^{5}-q^{7}+(-2-\beta )q^{11}-2\beta q^{13}+\cdots\)
|
1512.2.a.p |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{7}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
\(-\) |
\(q+\beta q^{5}-q^{7}+(2-\beta )q^{11}+2\beta q^{13}+\cdots\)
|
1512.2.a.q |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{33}) \) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(2\) |
\(-\) |
\(q+\beta q^{5}+q^{7}+(1+\beta )q^{13}+q^{17}+(2+\cdots)q^{19}+\cdots\)
|
1512.2.a.r |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{3}) \) |
None |
None |
\(0\) |
\(0\) |
\(4\) |
\(2\) |
\(-\) |
\(q+(2+\beta )q^{5}+q^{7}-3\beta q^{11}-2\beta q^{13}+\cdots\)
|
1512.2.c.a |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(-2\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+(-1-i)q^{2}+2iq^{4}+2iq^{5}-q^{7}+\cdots\)
|
1512.2.c.b |
\(2\) |
\(12.073\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q+(1-i)q^{2}-2iq^{4}+2iq^{5}-q^{7}+\cdots\)
|
1512.2.c.c |
\(8\) |
\(12.073\) |
8.0.3317760000.5 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
\(q-\beta _{5}q^{2}+(-\beta _{2}+\beta _{3})q^{4}+(\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots\)
|
1512.2.c.d |
\(16\) |
\(12.073\) |
\(\Q(\zeta_{40})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-16\) |
|
\(q+\zeta_{40}^{11}q^{2}-\zeta_{40}q^{4}+(\zeta_{40}^{10}+\zeta_{40}^{11}+\cdots)q^{5}+\cdots\)
|
1512.2.c.e |
\(20\) |
\(12.073\) |
\(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-20\) |
|
\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+\beta _{14}q^{5}-q^{7}+\beta _{3}q^{8}+\cdots\)
|
1512.2.c.f |
\(24\) |
\(12.073\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(24\) |
|
|
1512.2.c.g |
\(24\) |
\(12.073\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(24\) |
|
|
1512.2.j.a |
\(8\) |
\(12.073\) |
8.0.56070144.2 |
None |
None |
\(-4\) |
\(0\) |
\(-8\) |
\(0\) |
|
\(q+(-1-\beta _{3}-\beta _{5})q^{2}+(-\beta _{1}-\beta _{3}+\cdots)q^{4}+\cdots\)
|
1512.2.j.b |
\(8\) |
\(12.073\) |
8.0.56070144.2 |
None |
None |
\(4\) |
\(0\) |
\(8\) |
\(0\) |
|
\(q+(1+\beta _{3}+\beta _{5})q^{2}+(-\beta _{1}-\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
|
1512.2.j.c |
\(32\) |
\(12.073\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
1512.2.j.d |
\(48\) |
\(12.073\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
1512.2.k.a |
\(16\) |
\(12.073\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
|
\(q-\beta _{9}q^{5}-\beta _{1}q^{7}-\beta _{10}q^{11}-\beta _{5}q^{13}+\cdots\)
|