23.1.b.a |
\(1\) |
\(0.011\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-23}) \) |
None |
\(-1\) |
\(-1\) |
\(0\) |
\(0\) |
\(q-q^{2}-q^{3}+q^{6}+q^{8}-q^{13}-q^{16}+\cdots\)
|
31.1.b.a |
\(1\) |
\(0.015\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-31}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(-1\) |
\(q-q^{2}-q^{5}-q^{7}+q^{8}+q^{9}+q^{10}+\cdots\)
|
39.1.d.a |
\(1\) |
\(0.019\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-39}) \) |
\(\Q(\sqrt{13}) \) |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
\(q-q^{3}-q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots\)
|
44.1.d.a |
\(1\) |
\(0.022\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-11}) \) |
None |
\(0\) |
\(-1\) |
\(-1\) |
\(0\) |
\(q-q^{3}-q^{5}+q^{11}+q^{15}-q^{23}+q^{27}+\cdots\)
|
47.1.b.a |
\(2\) |
\(0.023\) |
\(\Q(\sqrt{5}) \) |
\(D_{5}\)
|
\(\Q(\sqrt{-47}) \) |
None |
\(-1\) |
\(-1\) |
\(0\) |
\(-1\) |
\(q+(-1+\beta )q^{2}-\beta q^{3}+(1-\beta )q^{4}-q^{6}+\cdots\)
|
52.1.j.a |
\(2\) |
\(0.026\) |
\(\Q(\sqrt{-3}) \) |
\(D_{3}\)
|
\(\Q(\sqrt{-1}) \) |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(0\) |
\(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{5}+q^{8}+\zeta_{6}^{2}q^{9}+\cdots\)
|
55.1.d.a |
\(1\) |
\(0.027\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) |
\(\Q(\sqrt{5}) \) |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
\(q-q^{4}-q^{5}+q^{9}-q^{11}+q^{16}+q^{20}+\cdots\)
|
56.1.h.a |
\(1\) |
\(0.028\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-14}) \) |
\(\Q(\sqrt{2}) \) |
\(-1\) |
\(0\) |
\(0\) |
\(-1\) |
\(q-q^{2}+q^{4}-q^{7}-q^{8}-q^{9}+q^{14}+\cdots\)
|
57.1.h.a |
\(2\) |
\(0.028\) |
\(\Q(\sqrt{-3}) \) |
\(D_{3}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-2\) |
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{7}-\zeta_{6}q^{9}+q^{12}+\cdots\)
|
59.1.b.a |
\(1\) |
\(0.029\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-59}) \) |
None |
\(0\) |
\(-1\) |
\(-1\) |
\(-1\) |
\(q-q^{3}+q^{4}-q^{5}-q^{7}-q^{12}+q^{15}+\cdots\)
|
63.1.d.a |
\(1\) |
\(0.031\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-7}) \) |
\(\Q(\sqrt{21}) \) |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(q-q^{4}-q^{7}+q^{16}+q^{25}+q^{28}-2q^{37}+\cdots\)
|
68.1.d.a |
\(1\) |
\(0.034\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-17}) \) |
\(\Q(\sqrt{17}) \) |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
\(q-q^{2}+q^{4}-q^{8}-q^{9}-2q^{13}+q^{16}+\cdots\)
|
68.1.f.a |
\(2\) |
\(0.034\) |
\(\Q(\sqrt{-1}) \) |
\(D_{4}\)
|
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(q+iq^{2}-q^{4}+(-1-i)q^{5}-iq^{8}+\cdots\)
|
71.1.b.a |
\(3\) |
\(0.035\) |
\(\Q(\zeta_{14})^+\) |
\(D_{7}\)
|
\(\Q(\sqrt{-71}) \) |
None |
\(-1\) |
\(-1\) |
\(-1\) |
\(0\) |
\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
|
72.1.p.a |
\(2\) |
\(0.036\) |
\(\Q(\sqrt{-3}) \) |
\(D_{3}\)
|
\(\Q(\sqrt{-2}) \) |
None |
\(-1\) |
\(-1\) |
\(0\) |
\(0\) |
\(q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots\)
|
76.1.c.a |
\(1\) |
\(0.038\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-19}) \) |
None |
\(0\) |
\(0\) |
\(-1\) |
\(-1\) |
\(q-q^{5}-q^{7}+q^{9}-q^{11}-q^{17}+q^{19}+\cdots\)
|
77.1.j.a |
\(4\) |
\(0.038\) |
\(\Q(\zeta_{10})\) |
\(D_{5}\)
|
\(\Q(\sqrt{-7}) \) |
None |
\(-2\) |
\(0\) |
\(0\) |
\(-1\) |
\(q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{2}+(-\zeta_{10}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots\)
|
79.1.b.a |
\(2\) |
\(0.039\) |
\(\Q(\sqrt{5}) \) |
\(D_{5}\)
|
\(\Q(\sqrt{-79}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{5}-q^{8}+\cdots\)
|
80.1.h.a |
\(1\) |
\(0.040\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) |
\(\Q(\sqrt{5}) \) |
\(0\) |
\(0\) |
\(-1\) |
\(0\) |
\(q-q^{5}-q^{9}+q^{25}+2q^{29}-2q^{41}+\cdots\)
|
83.1.b.a |
\(1\) |
\(0.041\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-83}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
\(q-q^{3}+q^{4}-q^{7}-q^{11}-q^{12}+q^{16}+\cdots\)
|
84.1.p.a |
\(2\) |
\(0.042\) |
\(\Q(\sqrt{-3}) \) |
\(D_{3}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
\(q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}-q^{13}+\cdots\)
|
87.1.d.a |
\(1\) |
\(0.043\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-87}) \) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(-1\) |
\(q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots\)
|
87.1.d.b |
\(1\) |
\(0.043\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-87}) \) |
None |
\(1\) |
\(-1\) |
\(0\) |
\(-1\) |
\(q+q^{2}-q^{3}-q^{6}-q^{7}-q^{8}+q^{9}+\cdots\)
|
88.1.l.a |
\(4\) |
\(0.044\) |
\(\Q(\zeta_{10})\) |
\(D_{5}\)
|
\(\Q(\sqrt{-2}) \) |
None |
\(-1\) |
\(-2\) |
\(0\) |
\(0\) |
\(q-\zeta_{10}q^{2}+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}^{2}q^{4}+\cdots\)
|
93.1.l.a |
\(4\) |
\(0.046\) |
\(\Q(\zeta_{10})\) |
\(D_{5}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-2\) |
\(q-\zeta_{10}q^{3}-\zeta_{10}^{3}q^{4}+(\zeta_{10}^{2}+\zeta_{10}^{4}+\cdots)q^{7}+\cdots\)
|
95.1.d.a |
\(1\) |
\(0.047\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \) |
\(\Q(\sqrt{5}) \) |
\(0\) |
\(0\) |
\(1\) |
\(0\) |
\(q-q^{4}+q^{5}-q^{9}-2q^{11}+q^{16}+q^{19}+\cdots\)
|
95.1.d.b |
\(2\) |
\(0.047\) |
\(\Q(\sqrt{2}) \) |
\(D_{4}\)
|
\(\Q(\sqrt{-95}) \) |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(q-\beta q^{2}+\beta q^{3}+q^{4}-q^{5}-2q^{6}+q^{9}+\cdots\)
|
99.1.h.a |
\(2\) |
\(0.049\) |
\(\Q(\sqrt{-3}) \) |
\(D_{3}\)
|
\(\Q(\sqrt{-11}) \) |
None |
\(0\) |
\(-1\) |
\(1\) |
\(0\) |
\(q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
|
100.1.j.a |
\(4\) |
\(0.050\) |
\(\Q(\zeta_{10})\) |
\(D_{5}\)
|
\(\Q(\sqrt{-1}) \) |
None |
\(-1\) |
\(0\) |
\(-1\) |
\(0\) |
\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{8}+\cdots\)
|
103.1.b.a |
\(2\) |
\(0.051\) |
\(\Q(\sqrt{5}) \) |
\(D_{5}\)
|
\(\Q(\sqrt{-103}) \) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(-1\) |
\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-\beta q^{7}-q^{8}+\cdots\)
|
104.1.h.a |
\(1\) |
\(0.052\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-26}) \) |
None |
\(-1\) |
\(-1\) |
\(1\) |
\(1\) |
\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
|
104.1.h.b |
\(1\) |
\(0.052\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-26}) \) |
None |
\(1\) |
\(-1\) |
\(-1\) |
\(-1\) |
\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
|
107.1.b.a |
\(1\) |
\(0.053\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-107}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(0\) |
\(q-q^{3}+q^{4}-q^{11}-q^{12}-q^{13}+q^{16}+\cdots\)
|
108.1.c.a |
\(1\) |
\(0.054\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-1\) |
\(q-q^{7}-q^{13}-q^{19}+q^{25}+2q^{31}+\cdots\)
|
111.1.d.a |
\(1\) |
\(0.055\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \) |
\(\Q(\sqrt{37}) \) |
\(0\) |
\(1\) |
\(0\) |
\(-2\) |
\(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
|
111.1.d.b |
\(2\) |
\(0.055\) |
\(\Q(\sqrt{2}) \) |
\(D_{4}\)
|
\(\Q(\sqrt{-111}) \) |
None |
\(0\) |
\(-2\) |
\(0\) |
\(0\) |
\(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{5}+\beta q^{6}+q^{9}+\cdots\)
|
111.1.h.a |
\(2\) |
\(0.055\) |
\(\Q(\sqrt{-3}) \) |
\(D_{6}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-1\) |
\(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
|
111.1.i.a |
\(2\) |
\(0.055\) |
\(\Q(\sqrt{-3}) \) |
\(D_{3}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(1\) |
\(q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
|
112.1.l.a |
\(2\) |
\(0.056\) |
\(\Q(\sqrt{-1}) \) |
\(D_{4}\)
|
\(\Q(\sqrt{-7}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(q+iq^{2}-q^{4}+iq^{7}-iq^{8}-iq^{9}+\cdots\)
|
116.1.d.a |
\(1\) |
\(0.058\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-29}) \) |
None |
\(-1\) |
\(1\) |
\(-1\) |
\(0\) |
\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
|
116.1.d.b |
\(1\) |
\(0.058\) |
\(\Q\) |
\(D_{3}\)
|
\(\Q(\sqrt{-29}) \) |
None |
\(1\) |
\(-1\) |
\(-1\) |
\(0\) |
\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
|
116.1.j.a |
\(6\) |
\(0.058\) |
\(\Q(\zeta_{14})\) |
\(D_{7}\)
|
\(\Q(\sqrt{-1}) \) |
None |
\(-1\) |
\(0\) |
\(-2\) |
\(0\) |
\(q-\zeta_{14}q^{2}+\zeta_{14}^{2}q^{4}+(\zeta_{14}^{4}-\zeta_{14}^{5}+\cdots)q^{5}+\cdots\)
|
117.1.j.a |
\(2\) |
\(0.058\) |
\(\Q(\sqrt{-1}) \) |
\(D_{4}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-2\) |
\(q+iq^{4}+(-1-i)q^{7}-iq^{13}-q^{16}+\cdots\)
|
119.1.d.a |
\(2\) |
\(0.059\) |
\(\Q(\sqrt{5}) \) |
\(D_{5}\)
|
\(\Q(\sqrt{-119}) \) |
None |
\(-1\) |
\(-1\) |
\(-1\) |
\(2\) |
\(q+(-1+\beta )q^{2}+(-1+\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
|
119.1.d.b |
\(2\) |
\(0.059\) |
\(\Q(\sqrt{5}) \) |
\(D_{5}\)
|
\(\Q(\sqrt{-119}) \) |
None |
\(-1\) |
\(1\) |
\(1\) |
\(-2\) |
\(q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-\beta )q^{4}+\cdots\)
|
120.1.i.a |
\(2\) |
\(0.060\) |
\(\Q(\sqrt{-1}) \) |
\(D_{2}\)
|
\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-6}) \) |
\(\Q(\sqrt{10}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
|
124.1.i.a |
\(4\) |
\(0.062\) |
\(\Q(\zeta_{12})\) |
\(A_{4}\)
|
None |
None |
\(0\) |
\(0\) |
\(-2\) |
\(0\) |
\(q-\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots\)
|
127.1.b.a |
\(2\) |
\(0.063\) |
\(\Q(\sqrt{5}) \) |
\(D_{5}\)
|
\(\Q(\sqrt{-127}) \) |
None |
\(-1\) |
\(0\) |
\(0\) |
\(0\) |
\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
|
128.1.d.a |
\(1\) |
\(0.064\) |
\(\Q\) |
\(D_{2}\)
|
\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{2}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
\(q-q^{9}-2q^{17}+q^{25}+2q^{41}+q^{49}+\cdots\)
|
129.1.l.a |
\(6\) |
\(0.064\) |
\(\Q(\zeta_{14})\) |
\(D_{7}\)
|
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(-1\) |
\(0\) |
\(-2\) |
\(q-\zeta_{14}^{5}q^{3}+\zeta_{14}^{4}q^{4}+(-\zeta_{14}+\zeta_{14}^{6}+\cdots)q^{7}+\cdots\)
|