144.1.g.a |
\(1\) |
\(0.072\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1}) \) |
\(\Q(\sqrt{3}) \) |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-2q^{13}-q^{25}+2q^{37}+q^{49}+2q^{61}+\cdots\)
|
144.2.a.a |
\(1\) |
\(1.150\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(4\) |
\(-\) |
\(q+4q^{7}+2q^{13}-8q^{19}-5q^{25}+4q^{31}+\cdots\)
|
144.2.a.b |
\(1\) |
\(1.150\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(0\) |
\(-\) |
\(q+2q^{5}+4q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots\)
|
144.2.c.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{5}+4q^{13}-\beta q^{17}-13q^{25}+\cdots\)
|
144.2.i.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(0\) |
\(-3\) |
\(-1\) |
|
\(q+(1-2\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots\)
|
144.2.i.b |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(0\) |
\(1\) |
\(-3\) |
|
\(q+(-1+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+\cdots\)
|
144.2.i.c |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(3\) |
\(0\) |
\(2\) |
|
\(q+(1+\zeta_{6})q^{3}+(2-2\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots\)
|
144.2.i.d |
\(4\) |
\(1.150\) |
\(\Q(\sqrt{-3}, \sqrt{-11})\) |
None |
None |
\(0\) |
\(-1\) |
\(1\) |
\(3\) |
|
\(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2}-2\beta _{3})q^{5}+(-1+\cdots)q^{7}+\cdots\)
|
144.2.k.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(2\) |
\(0\) |
\(2\) |
\(0\) |
|
\(q+(1+i)q^{2}+2iq^{4}+(1+i)q^{5}-2iq^{7}+\cdots\)
|
144.2.k.b |
\(8\) |
\(1.150\) |
8.0.18939904.2 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{6}q^{2}+(-1-\beta _{1}-\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
|
144.2.k.c |
\(8\) |
\(1.150\) |
8.0.629407744.1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{4}-\beta _{6})q^{5}+(-1+\cdots)q^{7}+\cdots\)
|
144.2.l.a |
\(16\) |
\(1.150\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{11}q^{2}-\beta _{7}q^{4}+\beta _{6}q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots\)
|
144.2.s.a |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-3\) |
\(-6\) |
\(-6\) |
|
\(q+(-1-\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots\)
|
144.2.s.b |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(-3\) |
|
\(q+(1-2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+\cdots\)
|
144.2.s.c |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(0\) |
\(3\) |
\(3\) |
|
\(q+(-1+2\zeta_{6})q^{3}+(2-\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+\cdots\)
|
144.2.s.d |
\(2\) |
\(1.150\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(3\) |
\(-6\) |
\(6\) |
|
\(q+(1+\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+\cdots\)
|
144.2.s.e |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(0\) |
\(0\) |
\(6\) |
\(0\) |
|
\(q-\zeta_{12}^{3}q^{3}+(1+\zeta_{12})q^{5}+(-\zeta_{12}^{2}+\cdots)q^{7}+\cdots\)
|
144.2.u.a |
\(88\) |
\(1.150\) |
|
None |
None |
\(-6\) |
\(-4\) |
\(-6\) |
\(-4\) |
|
|
144.2.x.a |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(-4\) |
\(0\) |
\(-4\) |
\(12\) |
|
\(q+(-1-\zeta_{12}^{3})q^{2}+(2\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots\)
|
144.2.x.b |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(-2\) |
\(-6\) |
\(-8\) |
\(-6\) |
|
\(q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-2+\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
|
144.2.x.c |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(-2\) |
\(0\) |
\(4\) |
\(6\) |
|
\(q+(\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots\)
|
144.2.x.d |
\(4\) |
\(1.150\) |
\(\Q(\zeta_{12})\) |
None |
None |
\(2\) |
\(0\) |
\(2\) |
\(-12\) |
|
\(q+(1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+2\zeta_{12}^{2}+\cdots)q^{3}+\cdots\)
|
144.2.x.e |
\(72\) |
\(1.150\) |
|
None |
None |
\(4\) |
\(2\) |
\(4\) |
\(0\) |
|
|
144.3.e.a |
\(2\) |
\(3.924\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-24\) |
|
\(q+5\beta q^{5}-12q^{7}+4\beta q^{11}-8q^{13}+\cdots\)
|
144.3.e.b |
\(2\) |
\(3.924\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(8\) |
|
\(q+\beta q^{5}+4q^{7}+4\beta q^{11}+8q^{13}+3\beta q^{17}+\cdots\)
|
144.3.g.a |
\(1\) |
\(3.924\) |
\(\Q\) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(6\) |
\(0\) |
|
\(q+6q^{5}+10q^{13}+30q^{17}+11q^{25}+\cdots\)
|
144.3.g.b |
\(2\) |
\(3.924\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(0\) |
\(-12\) |
\(0\) |
|
\(q-6q^{5}-\zeta_{6}q^{7}-3\zeta_{6}q^{11}-14q^{13}+\cdots\)
|
144.3.g.c |
\(2\) |
\(3.924\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{6}q^{7}+22q^{13}-2\zeta_{6}q^{19}-5^{2}q^{25}+\cdots\)
|
144.3.j.a |
\(32\) |
\(3.924\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
144.3.m.a |
\(6\) |
\(3.924\) |
6.0.399424.1 |
None |
None |
\(2\) |
\(0\) |
\(2\) |
\(-4\) |
|
\(q+\beta _{3}q^{2}+(-1-\beta _{1}+\beta _{4}-\beta _{5})q^{4}+\cdots\)
|
144.3.m.b |
\(16\) |
\(3.924\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{4}q^{2}+(-1-\beta _{2})q^{4}+\beta _{8}q^{5}+(\beta _{11}+\cdots)q^{7}+\cdots\)
|
144.3.m.c |
\(16\) |
\(3.924\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+(1-\beta _{1})q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
|
144.3.o.a |
\(8\) |
\(3.924\) |
8.0.856615824.2 |
None |
None |
\(0\) |
\(-3\) |
\(3\) |
\(3\) |
|
\(q+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
|
144.3.o.b |
\(8\) |
\(3.924\) |
8.0.121550625.1 |
None |
None |
\(0\) |
\(0\) |
\(-6\) |
\(0\) |
|
\(q+(\beta _{2}+\beta _{5})q^{3}+(-1-\beta _{1}-\beta _{7})q^{5}+\cdots\)
|
144.3.o.c |
\(8\) |
\(3.924\) |
8.0.856615824.2 |
None |
None |
\(0\) |
\(3\) |
\(3\) |
\(-3\) |
|
\(q+(-\beta _{3}+\beta _{4})q^{3}+(1-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots\)
|
144.3.q.a |
\(2\) |
\(3.924\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(3\) |
\(6\) |
\(2\) |
|
\(q+(3-3\zeta_{6})q^{3}+(4-2\zeta_{6})q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
|
144.3.q.b |
\(4\) |
\(3.924\) |
\(\Q(\sqrt{-3}, \sqrt{-11})\) |
None |
None |
\(0\) |
\(-3\) |
\(9\) |
\(1\) |
|
\(q+(-1+\beta _{3})q^{3}+(4-\beta _{1}+2\beta _{2}-\beta _{3})q^{5}+\cdots\)
|
144.3.q.c |
\(4\) |
\(3.924\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(0\) |
\(-18\) |
\(-2\) |
|
\(q+(1-2\beta _{1}-\beta _{3})q^{3}+(-3-3\beta _{1})q^{5}+\cdots\)
|
144.3.q.d |
\(4\) |
\(3.924\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(12\) |
\(6\) |
\(6\) |
|
\(q+3q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
|
144.3.q.e |
\(8\) |
\(3.924\) |
8.0.\(\cdots\).9 |
None |
None |
\(0\) |
\(-10\) |
\(-6\) |
\(-6\) |
|
\(q+(-1+\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
|
144.3.v.a |
\(184\) |
\(3.924\) |
|
None |
None |
\(-2\) |
\(-4\) |
\(-2\) |
\(-4\) |
|
|
144.3.w.a |
\(184\) |
\(3.924\) |
|
None |
None |
\(-6\) |
\(-4\) |
\(-6\) |
\(0\) |
|
|
144.4.a.a |
\(1\) |
\(8.496\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-16\) |
\(12\) |
\(+\) |
\(q-2^{4}q^{5}+12q^{7}+2^{6}q^{11}+58q^{13}+\cdots\)
|
144.4.a.b |
\(1\) |
\(8.496\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-14\) |
\(24\) |
\(-\) |
\(q-14q^{5}+24q^{7}-28q^{11}-74q^{13}+\cdots\)
|
144.4.a.c |
\(1\) |
\(8.496\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(-6\) |
\(16\) |
\(+\) |
\(q-6q^{5}+2^{4}q^{7}+12q^{11}+38q^{13}+\cdots\)
|
144.4.a.d |
\(1\) |
\(8.496\) |
\(\Q\) |
\(\Q(\sqrt{-3}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(-20\) |
\(-\) |
\(q-20q^{7}-70q^{13}-56q^{19}-5^{3}q^{25}+\cdots\)
|
144.4.a.e |
\(1\) |
\(8.496\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(2\) |
\(-24\) |
\(-\) |
\(q+2q^{5}-24q^{7}-44q^{11}+22q^{13}+\cdots\)
|
144.4.a.f |
\(1\) |
\(8.496\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(16\) |
\(12\) |
\(+\) |
\(q+2^{4}q^{5}+12q^{7}-2^{6}q^{11}+58q^{13}+\cdots\)
|
144.4.a.g |
\(1\) |
\(8.496\) |
\(\Q\) |
None |
None |
\(0\) |
\(0\) |
\(18\) |
\(-8\) |
\(+\) |
\(q+18q^{5}-8q^{7}+6^{2}q^{11}-10q^{13}+\cdots\)
|
144.4.c.a |
\(2\) |
\(8.496\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-1}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{5}-92q^{13}+11\beta q^{17}-37q^{25}+\cdots\)
|