11.2.a.a |
\(1\) |
\(0.088\) |
\(\Q\) |
None |
\(-2\) |
\(-1\) |
\(1\) |
\(-2\) |
\(-\) |
\(q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots\)
|
13.2.e.a |
\(2\) |
\(0.104\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-3\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots\)
|
14.2.a.a |
\(1\) |
\(0.112\) |
\(\Q\) |
None |
\(-1\) |
\(-2\) |
\(0\) |
\(1\) |
\(-\) |
\(q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots\)
|
15.2.a.a |
\(1\) |
\(0.120\) |
\(\Q\) |
None |
\(-1\) |
\(-1\) |
\(1\) |
\(0\) |
\(-\) |
\(q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots\)
|
16.2.e.a |
\(2\) |
\(0.128\) |
\(\Q(\sqrt{-1}) \) |
None |
\(-2\) |
\(-2\) |
\(-2\) |
\(0\) |
|
\(q+(-1-i)q^{2}+(-1+i)q^{3}+2iq^{4}+\cdots\)
|
17.2.a.a |
\(1\) |
\(0.136\) |
\(\Q\) |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(4\) |
\(-\) |
\(q-q^{2}-q^{4}-2q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots\)
|
17.2.d.a |
\(4\) |
\(0.136\) |
\(\Q(\zeta_{8})\) |
None |
\(-4\) |
\(-4\) |
\(0\) |
\(-4\) |
|
\(q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots\)
|
18.2.c.a |
\(2\) |
\(0.144\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(-3\) |
\(0\) |
\(-2\) |
|
\(q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots\)
|
19.2.a.a |
\(1\) |
\(0.152\) |
\(\Q\) |
None |
\(0\) |
\(-2\) |
\(3\) |
\(-1\) |
\(-\) |
\(q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+3q^{11}+\cdots\)
|
19.2.e.a |
\(6\) |
\(0.152\) |
\(\Q(\zeta_{18})\) |
None |
\(-6\) |
\(-3\) |
\(-6\) |
\(0\) |
|
\(q+(-1+\zeta_{18}-\zeta_{18}^{2})q^{2}+(-1+\zeta_{18}^{2}+\cdots)q^{3}+\cdots\)
|
20.2.a.a |
\(1\) |
\(0.160\) |
\(\Q\) |
None |
\(0\) |
\(-2\) |
\(-1\) |
\(2\) |
\(-\) |
\(q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots\)
|
20.2.e.a |
\(2\) |
\(0.160\) |
\(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{-1}) \) |
\(-2\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+(-1-i)q^{2}+2iq^{4}+(-2+i)q^{5}+\cdots\)
|
21.2.a.a |
\(1\) |
\(0.168\) |
\(\Q\) |
None |
\(-1\) |
\(1\) |
\(-2\) |
\(-1\) |
\(-\) |
\(q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
|
21.2.e.a |
\(2\) |
\(0.168\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-2\) |
\(-1\) |
\(2\) |
\(-5\) |
|
\(q+(-2+2\zeta_{6})q^{2}-\zeta_{6}q^{3}-2\zeta_{6}q^{4}+\cdots\)
|
21.2.g.a |
\(2\) |
\(0.168\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
\(0\) |
\(-3\) |
\(0\) |
\(1\) |
|
\(q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{7}+\cdots\)
|
22.2.c.a |
\(4\) |
\(0.176\) |
\(\Q(\zeta_{10})\) |
None |
\(-1\) |
\(-4\) |
\(-6\) |
\(2\) |
|
\(q-\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots\)
|
23.2.a.a |
\(2\) |
\(0.184\) |
\(\Q(\sqrt{5}) \) |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(2\) |
\(-\) |
\(q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
|
23.2.c.a |
\(10\) |
\(0.184\) |
\(\Q(\zeta_{22})\) |
None |
\(-7\) |
\(-7\) |
\(-3\) |
\(-5\) |
|
\(q+(-\zeta_{22}+\zeta_{22}^{4}-\zeta_{22}^{5}+\zeta_{22}^{6}+\cdots)q^{2}+\cdots\)
|
24.2.a.a |
\(1\) |
\(0.192\) |
\(\Q\) |
None |
\(0\) |
\(-1\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots\)
|
24.2.d.a |
\(2\) |
\(0.192\) |
\(\Q(\sqrt{-1}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(-4\) |
|
\(q+(-1+i)q^{2}+iq^{3}-2iq^{4}-2iq^{5}+\cdots\)
|
24.2.f.a |
\(2\) |
\(0.192\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots\)
|
25.2.d.a |
\(4\) |
\(0.200\) |
\(\Q(\zeta_{10})\) |
None |
\(-2\) |
\(-1\) |
\(-5\) |
\(-2\) |
|
\(q+(-\zeta_{10}+\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots\)
|
25.2.e.a |
\(8\) |
\(0.200\) |
8.0.58140625.2 |
None |
\(-5\) |
\(-5\) |
\(0\) |
\(0\) |
|
\(q+(-1+\beta _{1})q^{2}+(-1+\beta _{2}-\beta _{3}+\beta _{7})q^{3}+\cdots\)
|
26.2.a.a |
\(1\) |
\(0.208\) |
\(\Q\) |
None |
\(-1\) |
\(1\) |
\(-3\) |
\(-1\) |
\(-\) |
\(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots\)
|
26.2.a.b |
\(1\) |
\(0.208\) |
\(\Q\) |
None |
\(1\) |
\(-3\) |
\(-1\) |
\(1\) |
\(-\) |
\(q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots\)
|
26.2.b.a |
\(2\) |
\(0.208\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q+iq^{2}-q^{3}-q^{4}-3iq^{5}-iq^{6}+\cdots\)
|
26.2.c.a |
\(2\) |
\(0.208\) |
\(\Q(\sqrt{-3}) \) |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(-4\) |
|
\(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}-4\zeta_{6}q^{7}+\cdots\)
|
27.2.a.a |
\(1\) |
\(0.216\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(-\) |
\(q-2q^{4}-q^{7}+5q^{13}+4q^{16}-7q^{19}+\cdots\)
|
27.2.e.a |
\(12\) |
\(0.216\) |
12.0.\(\cdots\).1 |
None |
\(-6\) |
\(-6\) |
\(-3\) |
\(-6\) |
|
\(q+(-1-\beta _{3}+\beta _{8})q^{2}+(-1-\beta _{2}+\beta _{6}+\cdots)q^{3}+\cdots\)
|
28.2.d.a |
\(2\) |
\(0.224\) |
\(\Q(\sqrt{-7}) \) |
\(\Q(\sqrt{-7}) \) |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta q^{2}+(-2+\beta )q^{4}+(-1+2\beta )q^{7}+\cdots\)
|
28.2.e.a |
\(2\) |
\(0.224\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(-3\) |
\(-4\) |
|
\(q-\zeta_{6}q^{3}+(-3+3\zeta_{6})q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
|
28.2.f.a |
\(4\) |
\(0.224\) |
\(\Q(\zeta_{12})\) |
None |
\(-2\) |
\(0\) |
\(-6\) |
\(0\) |
|
\(q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(\zeta_{12}+\cdots)q^{3}+\cdots\)
|
29.2.a.a |
\(2\) |
\(0.232\) |
\(\Q(\sqrt{2}) \) |
None |
\(-2\) |
\(2\) |
\(-2\) |
\(0\) |
\(-\) |
\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-2\beta )q^{4}+\cdots\)
|
29.2.b.a |
\(2\) |
\(0.232\) |
\(\Q(\sqrt{-5}) \) |
None |
\(0\) |
\(0\) |
\(-6\) |
\(4\) |
|
\(q+\beta q^{2}-\beta q^{3}-3q^{4}-3q^{5}+5q^{6}+\cdots\)
|
29.2.d.a |
\(6\) |
\(0.232\) |
\(\Q(\zeta_{14})\) |
None |
\(-2\) |
\(-5\) |
\(1\) |
\(1\) |
|
\(q+(-1+\zeta_{14}+\zeta_{14}^{3}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{2}+\cdots\)
|
29.2.e.a |
\(12\) |
\(0.232\) |
12.0.\(\cdots\).1 |
None |
\(-7\) |
\(-7\) |
\(-1\) |
\(-11\) |
|
\(q+(-1+\beta _{3}+\beta _{7}+\beta _{9}+\beta _{10})q^{2}+\cdots\)
|
30.2.a.a |
\(1\) |
\(0.240\) |
\(\Q\) |
None |
\(-1\) |
\(1\) |
\(-1\) |
\(-4\) |
\(-\) |
\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots\)
|
30.2.c.a |
\(2\) |
\(0.240\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(0\) |
|
\(q+iq^{2}-iq^{3}-q^{4}+(-2+i)q^{5}+\cdots\)
|
30.2.e.a |
\(4\) |
\(0.240\) |
\(\Q(\zeta_{8})\) |
None |
\(0\) |
\(-4\) |
\(0\) |
\(-4\) |
|
\(q+\zeta_{8}q^{2}+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}+\cdots\)
|
31.2.a.a |
\(2\) |
\(0.248\) |
\(\Q(\sqrt{5}) \) |
None |
\(1\) |
\(-2\) |
\(2\) |
\(-4\) |
\(-\) |
\(q+\beta q^{2}-2\beta q^{3}+(-1+\beta )q^{4}+q^{5}+\cdots\)
|
31.2.c.a |
\(4\) |
\(0.248\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
None |
\(-4\) |
\(2\) |
\(-2\) |
\(-2\) |
|
\(q+(-1+\beta _{3})q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+\cdots\)
|
31.2.d.a |
\(4\) |
\(0.248\) |
\(\Q(\zeta_{10})\) |
None |
\(-3\) |
\(1\) |
\(-6\) |
\(-3\) |
|
\(q+(-1-\zeta_{10}^{2})q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots\)
|
31.2.g.a |
\(16\) |
\(0.248\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
\(-6\) |
\(-12\) |
\(-3\) |
\(2\) |
|
\(q+(-1-\beta _{1}+\beta _{3}-\beta _{4}+\beta _{5}+\beta _{6}+\cdots)q^{2}+\cdots\)
|
32.2.a.a |
\(1\) |
\(0.256\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(-\) |
\(q-2q^{5}-3q^{9}+6q^{13}+2q^{17}-q^{25}+\cdots\)
|
32.2.g.a |
\(4\) |
\(0.256\) |
\(\Q(\zeta_{8})\) |
None |
\(0\) |
\(0\) |
\(-4\) |
\(4\) |
|
\(q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+(\zeta_{8}+\zeta_{8}^{2})q^{3}+\cdots\)
|
32.2.g.b |
\(8\) |
\(0.256\) |
8.0.18939904.2 |
None |
\(-4\) |
\(-4\) |
\(0\) |
\(-8\) |
|
\(q-\beta _{2}q^{2}+(\beta _{1}+\beta _{3}+\beta _{5}+\beta _{7})q^{3}+\cdots\)
|
33.2.a.a |
\(1\) |
\(0.264\) |
\(\Q\) |
None |
\(1\) |
\(-1\) |
\(-2\) |
\(4\) |
\(-\) |
\(q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots\)
|
33.2.d.a |
\(2\) |
\(0.264\) |
\(\Q(\sqrt{-11}) \) |
\(\Q(\sqrt{-11}) \) |
\(0\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{3}-2q^{4}+(1-2\beta )q^{5}+(-3+\beta )q^{9}+\cdots\)
|
33.2.e.a |
\(4\) |
\(0.264\) |
\(\Q(\zeta_{10})\) |
None |
\(-3\) |
\(-1\) |
\(-1\) |
\(-3\) |
|
\(q+(-1-\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(\zeta_{10}+\cdots)q^{4}+\cdots\)
|
33.2.e.b |
\(4\) |
\(0.264\) |
\(\Q(\zeta_{10})\) |
None |
\(-1\) |
\(1\) |
\(-3\) |
\(1\) |
|
\(q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+\cdots\)
|