LMFDB - Embedded newform 370.2.q.a.267.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 5]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$4$
Coefficient field:	$\Q(\zeta_{12})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{2} + 1 $ x^4 - x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			267.1
Root			$0.866025 + 0.500000i$ of defining polynomial
Character	$\chi$	$=$	370.267
Dual form			370.2.q.a.273.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.866025i) q^{2} +(1.86603 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.133975 + 2.23205i) q^{5} +(-1.36603 - 1.36603i) q^{6} +(2.73205 - 0.732051i) q^{7} +1.00000 q^{8} +(0.633975 - 0.366025i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.866025i) q^{2} +(1.86603 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.133975 + 2.23205i) q^{5} +(-1.36603 - 1.36603i) q^{6} +(2.73205 - 0.732051i) q^{7} +1.00000 q^{8} +(0.633975 - 0.366025i) q^{9} +(2.00000 - 1.00000i) q^{10} -2.00000i q^{11} +(-0.500000 + 1.86603i) q^{12} +(-1.23205 + 2.13397i) q^{13} +(-2.00000 - 2.00000i) q^{14} +(0.866025 + 4.23205i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(5.36603 - 3.09808i) q^{17} +(-0.633975 - 0.366025i) q^{18} +(1.63397 + 6.09808i) q^{19} +(-1.86603 - 1.23205i) q^{20} +(4.73205 - 2.73205i) q^{21} +(-1.73205 + 1.00000i) q^{22} +6.00000 q^{23} +(1.86603 - 0.500000i) q^{24} +(-4.96410 - 0.598076i) q^{25} +2.46410 q^{26} +(-3.09808 + 3.09808i) q^{27} +(-0.732051 + 2.73205i) q^{28} +(-4.73205 - 4.73205i) q^{29} +(3.23205 - 2.86603i) q^{30} +(6.83013 - 6.83013i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-1.00000 - 3.73205i) q^{33} +(-5.36603 - 3.09808i) q^{34} +(1.26795 + 6.19615i) q^{35} +0.732051i q^{36} +(-5.50000 + 2.59808i) q^{37} +(4.46410 - 4.46410i) q^{38} +(-1.23205 + 4.59808i) q^{39} +(-0.133975 + 2.23205i) q^{40} +(-5.59808 - 3.23205i) q^{41} +(-4.73205 - 2.73205i) q^{42} -11.0000 q^{43} +(1.73205 + 1.00000i) q^{44} +(0.732051 + 1.46410i) q^{45} +(-3.00000 - 5.19615i) q^{46} +(-6.19615 - 6.19615i) q^{47} +(-1.36603 - 1.36603i) q^{48} +(0.866025 - 0.500000i) q^{49} +(1.96410 + 4.59808i) q^{50} +(8.46410 - 8.46410i) q^{51} +(-1.23205 - 2.13397i) q^{52} +(4.86603 + 1.30385i) q^{53} +(4.23205 + 1.13397i) q^{54} +(4.46410 + 0.267949i) q^{55} +(2.73205 - 0.732051i) q^{56} +(6.09808 + 10.5622i) q^{57} +(-1.73205 + 6.46410i) q^{58} +(3.09808 + 0.830127i) q^{59} +(-4.09808 - 1.36603i) q^{60} +(0.464102 + 1.73205i) q^{61} +(-9.33013 - 2.50000i) q^{62} +(1.46410 - 1.46410i) q^{63} +1.00000 q^{64} +(-4.59808 - 3.03590i) q^{65} +(-2.73205 + 2.73205i) q^{66} +(1.43782 + 5.36603i) q^{67} +6.19615i q^{68} +(11.1962 - 3.00000i) q^{69} +(4.73205 - 4.19615i) q^{70} +(1.46410 - 2.53590i) q^{71} +(0.633975 - 0.366025i) q^{72} +(5.00000 + 3.46410i) q^{74} +(-9.56218 + 1.36603i) q^{75} +(-6.09808 - 1.63397i) q^{76} +(-1.46410 - 5.46410i) q^{77} +(4.59808 - 1.23205i) q^{78} +(1.83013 + 6.83013i) q^{79} +(2.00000 - 1.00000i) q^{80} +(-5.33013 + 9.23205i) q^{81} +6.46410i q^{82} +(-15.5622 - 4.16987i) q^{83} +5.46410i q^{84} +(6.19615 + 12.3923i) q^{85} +(5.50000 + 9.52628i) q^{86} +(-11.1962 - 6.46410i) q^{87} -2.00000i q^{88} +(0.437822 - 1.63397i) q^{89} +(0.901924 - 1.36603i) q^{90} +(-1.80385 + 6.73205i) q^{91} +(-3.00000 + 5.19615i) q^{92} +(9.33013 - 16.1603i) q^{93} +(-2.26795 + 8.46410i) q^{94} +(-13.8301 + 2.83013i) q^{95} +(-0.500000 + 1.86603i) q^{96} -1.46410i q^{97} +(-0.866025 - 0.500000i) q^{98} +(-0.732051 - 1.26795i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 4 q^{5} - 2 q^{6} + 4 q^{7} + 4 q^{8} + 6 q^{9}+O(q^{10}) $ 4 * q - 2 * q^2 + 4 * q^3 - 2 * q^4 - 4 * q^5 - 2 * q^6 + 4 * q^7 + 4 * q^8 + 6 * q^9	$ 4 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 4 q^{5} - 2 q^{6} + 4 q^{7} + 4 q^{8} + 6 q^{9} + 8 q^{10} - 2 q^{12} + 2 q^{13} - 8 q^{14} - 2 q^{16} + 18 q^{17} - 6 q^{18} + 10 q^{19} - 4 q^{20} + 12 q^{21} + 24 q^{23} + 4 q^{24} - 6 q^{25} - 4 q^{26} - 2 q^{27} + 4 q^{28} - 12 q^{29} + 6 q^{30} + 10 q^{31} - 2 q^{32} - 4 q^{33} - 18 q^{34} + 12 q^{35} - 22 q^{37} + 4 q^{38} + 2 q^{39} - 4 q^{40} - 12 q^{41} - 12 q^{42} - 44 q^{43} - 4 q^{45} - 12 q^{46} - 4 q^{47} - 2 q^{48} - 6 q^{50} + 20 q^{51} + 2 q^{52} + 16 q^{53} + 10 q^{54} + 4 q^{55} + 4 q^{56} + 14 q^{57} + 2 q^{59} - 6 q^{60} - 12 q^{61} - 20 q^{62} - 8 q^{63} + 4 q^{64} - 8 q^{65} - 4 q^{66} + 30 q^{67} + 24 q^{69} + 12 q^{70} - 8 q^{71} + 6 q^{72} + 20 q^{74} - 14 q^{75} - 14 q^{76} + 8 q^{77} + 8 q^{78} - 10 q^{79} + 8 q^{80} - 4 q^{81} - 38 q^{83} + 4 q^{85} + 22 q^{86} - 24 q^{87} + 26 q^{89} + 14 q^{90} - 28 q^{91} - 12 q^{92} + 20 q^{93} - 16 q^{94} - 38 q^{95} - 2 q^{96} + 4 q^{99}+O(q^{100}) $ 4 * q - 2 * q^2 + 4 * q^3 - 2 * q^4 - 4 * q^5 - 2 * q^6 + 4 * q^7 + 4 * q^8 + 6 * q^9 + 8 * q^10 - 2 * q^12 + 2 * q^13 - 8 * q^14 - 2 * q^16 + 18 * q^17 - 6 * q^18 + 10 * q^19 - 4 * q^20 + 12 * q^21 + 24 * q^23 + 4 * q^24 - 6 * q^25 - 4 * q^26 - 2 * q^27 + 4 * q^28 - 12 * q^29 + 6 * q^30 + 10 * q^31 - 2 * q^32 - 4 * q^33 - 18 * q^34 + 12 * q^35 - 22 * q^37 + 4 * q^38 + 2 * q^39 - 4 * q^40 - 12 * q^41 - 12 * q^42 - 44 * q^43 - 4 * q^45 - 12 * q^46 - 4 * q^47 - 2 * q^48 - 6 * q^50 + 20 * q^51 + 2 * q^52 + 16 * q^53 + 10 * q^54 + 4 * q^55 + 4 * q^56 + 14 * q^57 + 2 * q^59 - 6 * q^60 - 12 * q^61 - 20 * q^62 - 8 * q^63 + 4 * q^64 - 8 * q^65 - 4 * q^66 + 30 * q^67 + 24 * q^69 + 12 * q^70 - 8 * q^71 + 6 * q^72 + 20 * q^74 - 14 * q^75 - 14 * q^76 + 8 * q^77 + 8 * q^78 - 10 * q^79 + 8 * q^80 - 4 * q^81 - 38 * q^83 + 4 * q^85 + 22 * q^86 - 24 * q^87 + 26 * q^89 + 14 * q^90 - 28 * q^91 - 12 * q^92 + 20 * q^93 - 16 * q^94 - 38 * q^95 - 2 * q^96 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.500000	−	0.866025i	−0.353553	−	0.612372i
$2$	−0.500000	−	0.866025i	−0.353553	−	0.612372i
$3$	1.86603	−	0.500000i	1.07735	−	0.288675i	0.323840	−	0.946112i	$-0.395026\pi$
$3$	1.86603	−	0.500000i	1.07735	−	0.288675i	0.753510	+	0.657437i	$0.228359\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	−0.133975	+	2.23205i	−0.0599153	+	0.998203i
$5$	−0.133975	+	2.23205i	−0.0599153	+	0.998203i
$6$	−1.36603	−	1.36603i	−0.557678	−	0.557678i
$7$	2.73205	−	0.732051i	1.03262	−	0.276689i	0.297567	−	0.954701i	$-0.403825\pi$
$7$	2.73205	−	0.732051i	1.03262	−	0.276689i	0.735051	+	0.678012i	$0.237158\pi$
$8$	1.00000			0.353553
$9$	0.633975	−	0.366025i	0.211325	−	0.122008i
$10$	2.00000	−	1.00000i	0.632456	−	0.316228i
$11$		−	2.00000i		−	0.603023i	−0.953463	−	0.301511i	$-0.902509\pi$
$11$		−	2.00000i		−	0.603023i	0.953463	−	0.301511i	$-0.0974911\pi$
$12$	−0.500000	+	1.86603i	−0.144338	+	0.538675i
$13$	−1.23205	+	2.13397i	−0.341709	+	0.591858i	−0.984750	−	0.173974i	$-0.944339\pi$
$13$	−1.23205	+	2.13397i	−0.341709	+	0.591858i	0.643041	+	0.765832i	$0.277673\pi$
$14$	−2.00000	−	2.00000i	−0.534522	−	0.534522i
$15$	0.866025	+	4.23205i	0.223607	+	1.09271i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	5.36603	−	3.09808i	1.30145	−	0.751394i	0.320799	−	0.947147i	$-0.396049\pi$
$17$	5.36603	−	3.09808i	1.30145	−	0.751394i	0.980653	+	0.195753i	$0.0627152\pi$
$18$	−0.633975	−	0.366025i	−0.149429	−	0.0862730i
$19$	1.63397	+	6.09808i	0.374859	+	1.39899i	0.853550	+	0.521011i	$0.174445\pi$
$19$	1.63397	+	6.09808i	0.374859	+	1.39899i	−0.478691	+	0.877984i	$0.658888\pi$
$20$	−1.86603	−	1.23205i	−0.417256	−	0.275495i
$21$	4.73205	−	2.73205i	1.03262	−	0.596182i
$22$	−1.73205	+	1.00000i	−0.369274	+	0.213201i
$23$	6.00000			1.25109			0.625543	−	0.780189i	$-0.284877\pi$
$23$	6.00000			1.25109			0.625543	+	0.780189i	$0.284877\pi$
$24$	1.86603	−	0.500000i	0.380901	−	0.102062i
$25$	−4.96410	−	0.598076i	−0.992820	−	0.119615i
$26$	2.46410			0.483250
$27$	−3.09808	+	3.09808i	−0.596225	+	0.596225i
$28$	−0.732051	+	2.73205i	−0.138345	+	0.516309i
$29$	−4.73205	−	4.73205i	−0.878720	−	0.878720i	0.114682	−	0.993402i	$-0.463415\pi$
$29$	−4.73205	−	4.73205i	−0.878720	−	0.878720i	−0.993402	+	0.114682i	$0.963415\pi$
$30$	3.23205	−	2.86603i	0.590089	−	0.523262i
$31$	6.83013	−	6.83013i	1.22673	−	1.22673i	0.261532	−	0.965195i	$-0.415772\pi$
$31$	6.83013	−	6.83013i	1.22673	−	1.22673i	0.965195	−	0.261532i	$-0.0842278\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	−1.00000	−	3.73205i	−0.174078	−	0.649667i
$34$	−5.36603	−	3.09808i	−0.920266	−	0.531316i
$35$	1.26795	+	6.19615i	0.214323	+	1.04734i
$36$			0.732051i			0.122008i
$37$	−5.50000	+	2.59808i	−0.904194	+	0.427121i
$37$	−5.50000	+	2.59808i	−0.904194	+	0.427121i
$38$	4.46410	−	4.46410i	0.724173	−	0.724173i
$39$	−1.23205	+	4.59808i	−0.197286	+	0.736281i
$40$	−0.133975	+	2.23205i	−0.0211832	+	0.352918i
$41$	−5.59808	−	3.23205i	−0.874273	−	0.504762i	−0.00550690	−	0.999985i	$-0.501753\pi$
$41$	−5.59808	−	3.23205i	−0.874273	−	0.504762i	−0.868766	+	0.495223i	$0.835086\pi$
$42$	−4.73205	−	2.73205i	−0.730171	−	0.421565i
$43$	−11.0000			−1.67748			−0.838742	−	0.544529i	$-0.816708\pi$
$43$	−11.0000			−1.67748			−0.838742	+	0.544529i	$0.816708\pi$
$44$	1.73205	+	1.00000i	0.261116	+	0.150756i
$45$	0.732051	+	1.46410i	0.109128	+	0.218255i
$46$	−3.00000	−	5.19615i	−0.442326	−	0.766131i
$47$	−6.19615	−	6.19615i	−0.903802	−	0.903802i	0.0919609	−	0.995763i	$-0.470687\pi$
$47$	−6.19615	−	6.19615i	−0.903802	−	0.903802i	−0.995763	+	0.0919609i	$0.970687\pi$
$48$	−1.36603	−	1.36603i	−0.197169	−	0.197169i
$49$	0.866025	−	0.500000i	0.123718	−	0.0714286i
$50$	1.96410	+	4.59808i	0.277766	+	0.650266i
$51$	8.46410	−	8.46410i	1.18521	−	1.18521i
$52$	−1.23205	−	2.13397i	−0.170855	−	0.295929i
$53$	4.86603	+	1.30385i	0.668400	+	0.179097i	0.577034	−	0.816720i	$-0.304210\pi$
$53$	4.86603	+	1.30385i	0.668400	+	0.179097i	0.0913660	+	0.995817i	$0.470877\pi$
$54$	4.23205	+	1.13397i	0.575909	+	0.154314i
$55$	4.46410	+	0.267949i	0.601939	+	0.0361303i
$56$	2.73205	−	0.732051i	0.365086	−	0.0978244i
$57$	6.09808	+	10.5622i	0.807710	+	1.39899i
$58$	−1.73205	+	6.46410i	−0.227429	+	0.848778i
$59$	3.09808	+	0.830127i	0.403335	+	0.108073i	0.454783	−	0.890602i	$-0.349717\pi$
$59$	3.09808	+	0.830127i	0.403335	+	0.108073i	−0.0514477	+	0.998676i	$0.516384\pi$
$60$	−4.09808	−	1.36603i	−0.529059	−	0.176353i
$61$	0.464102	+	1.73205i	0.0594221	+	0.221766i	0.989251	−	0.146225i	$-0.0467123\pi$
$61$	0.464102	+	1.73205i	0.0594221	+	0.221766i	−0.929829	+	0.367991i	$0.880046\pi$
$62$	−9.33013	−	2.50000i	−1.18493	−	0.317500i
$63$	1.46410	−	1.46410i	0.184459	−	0.184459i
$64$	1.00000			0.125000
$65$	−4.59808	−	3.03590i	−0.570321	−	0.376557i
$66$	−2.73205	+	2.73205i	−0.336292	+	0.336292i
$67$	1.43782	+	5.36603i	0.175658	+	0.655564i	0.996439	+	0.0843209i	$0.0268721\pi$
$67$	1.43782	+	5.36603i	0.175658	+	0.655564i	−0.820781	+	0.571243i	$0.806461\pi$
$68$			6.19615i			0.751394i
$69$	11.1962	−	3.00000i	1.34786	−	0.361158i
$70$	4.73205	−	4.19615i	0.565588	−	0.501536i
$71$	1.46410	−	2.53590i	0.173757	−	0.300956i	−0.765973	−	0.642872i	$-0.777743\pi$
$71$	1.46410	−	2.53590i	0.173757	−	0.300956i	0.939730	+	0.341916i	$0.111076\pi$
$72$	0.633975	−	0.366025i	0.0747146	−	0.0431365i
$73$		0			0		0.707107	−	0.707107i	$-0.250000\pi$
$73$		0			0		−0.707107	+	0.707107i	$0.750000\pi$
$74$	5.00000	+	3.46410i	0.581238	+	0.402694i
$75$	−9.56218	+	1.36603i	−1.10415	+	0.157735i
$76$	−6.09808	−	1.63397i	−0.699497	−	0.187430i
$77$	−1.46410	−	5.46410i	−0.166850	−	0.622692i
$78$	4.59808	−	1.23205i	0.520630	−	0.139502i
$79$	1.83013	+	6.83013i	0.205905	+	0.768449i	0.989172	+	0.146763i	$0.0468855\pi$
$79$	1.83013	+	6.83013i	0.205905	+	0.768449i	−0.783266	+	0.621686i	$0.786448\pi$
$80$	2.00000	−	1.00000i	0.223607	−	0.111803i
$81$	−5.33013	+	9.23205i	−0.592236	+	1.02578i
$82$			6.46410i			0.713841i
$83$	−15.5622	−	4.16987i	−1.70817	−	0.457703i	−0.733196	−	0.680017i	$-0.761972\pi$
$83$	−15.5622	−	4.16987i	−1.70817	−	0.457703i	−0.974975	+	0.222314i	$0.928639\pi$
$84$			5.46410i			0.596182i
$85$	6.19615	+	12.3923i	0.672067	+	1.34413i
$86$	5.50000	+	9.52628i	0.593080	+	1.02725i
$87$	−11.1962	−	6.46410i	−1.20035	−	0.693024i
$88$		−	2.00000i		−	0.213201i
$89$	0.437822	−	1.63397i	0.0464091	−	0.173201i	−0.938831	−	0.344377i	$-0.888090\pi$
$89$	0.437822	−	1.63397i	0.0464091	−	0.173201i	0.985240	+	0.171176i	$0.0547568\pi$
$90$	0.901924	−	1.36603i	0.0950711	−	0.143992i
$91$	−1.80385	+	6.73205i	−0.189095	+	0.705711i
$92$	−3.00000	+	5.19615i	−0.312772	+	0.541736i
$93$	9.33013	−	16.1603i	0.967489	−	1.67574i
$94$	−2.26795	+	8.46410i	−0.233921	+	0.873005i
$95$	−13.8301	+	2.83013i	−1.41894	+	0.290365i
$96$	−0.500000	+	1.86603i	−0.0510310	+	0.190450i
$97$		−	1.46410i		−	0.148657i	−0.997234	−	0.0743285i	$-0.976319\pi$
$97$		−	1.46410i		−	0.148657i	0.997234	−	0.0743285i	$-0.0236813\pi$
$98$	−0.866025	−	0.500000i	−0.0874818	−	0.0505076i
$99$	−0.732051	−	1.26795i	−0.0735739	−	0.127434i
$100$	3.00000	−	4.00000i	0.300000	−	0.400000i
$101$		−	0.196152i		−	0.0195179i	−0.999952	−	0.00975895i	$-0.996894\pi$
$101$		−	0.196152i		−	0.0195179i	0.999952	−	0.00975895i	$-0.00310642\pi$
$102$	−11.5622	−	3.09808i	−1.14483	−	0.306755i
$103$			6.19615i			0.610525i	0.952268	+	0.305263i	$0.0987442\pi$
$103$			6.19615i			0.610525i	−0.952268	+	0.305263i	$0.901256\pi$
$104$	−1.23205	+	2.13397i	−0.120813	+	0.209253i
$105$	5.46410	+	10.9282i	0.533242	+	1.06648i
$106$	−1.30385	−	4.86603i	−0.126641	−	0.472630i
$107$	−13.4282	+	3.59808i	−1.29815	+	0.347839i	−0.840752	−	0.541421i	$-0.817887\pi$
$107$	−13.4282	+	3.59808i	−1.29815	+	0.347839i	−0.457402	+	0.889260i	$0.651220\pi$
$108$	−1.13397	−	4.23205i	−0.109117	−	0.407229i
$109$	−1.00000	−	0.267949i	−0.0957826	−	0.0256649i	0.210609	−	0.977570i	$-0.432455\pi$
$109$	−1.00000	−	0.267949i	−0.0957826	−	0.0256649i	−0.306392	+	0.951905i	$0.599122\pi$
$110$	−2.00000	−	4.00000i	−0.190693	−	0.381385i
$111$	−8.96410	+	7.59808i	−0.850835	+	0.721177i
$112$	−2.00000	−	2.00000i	−0.188982	−	0.188982i
$113$	−5.19615	+	3.00000i	−0.488813	+	0.282216i	−0.724082	−	0.689714i	$-0.757736\pi$
$113$	−5.19615	+	3.00000i	−0.488813	+	0.282216i	0.235269	+	0.971930i	$0.424403\pi$
$114$	6.09808	−	10.5622i	0.571137	−	0.989239i
$115$	−0.803848	+	13.3923i	−0.0749592	+	1.24884i
$116$	6.46410	−	1.73205i	0.600177	−	0.160817i
$117$			1.80385i			0.166766i
$118$	−0.830127	−	3.09808i	−0.0764194	−	0.285201i
$119$	12.3923	−	12.3923i	1.13600	−	1.13600i
$120$	0.866025	+	4.23205i	0.0790569	+	0.386332i
$121$	7.00000			0.636364
$122$	1.26795	−	1.26795i	0.114795	−	0.114795i
$123$	−12.0622	−	3.23205i	−1.08761	−	0.291424i
$124$	2.50000	+	9.33013i	0.224507	+	0.837870i
$125$	2.00000	−	11.0000i	0.178885	−	0.983870i
$126$	−2.00000	−	0.535898i	−0.178174	−	0.0477416i
$127$	2.36603	−	8.83013i	0.209951	−	0.783547i	−0.777932	−	0.628348i	$-0.783731\pi$
$127$	2.36603	−	8.83013i	0.209951	−	0.783547i	0.987883	−	0.155199i	$-0.0496019\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	−20.5263	+	5.50000i	−1.80724	+	0.484248i
$130$	−0.330127	+	5.50000i	−0.0289541	+	0.482382i
$131$	0.732051	+	0.196152i	0.0639596	+	0.0171379i	0.290657	−	0.956827i	$-0.406126\pi$
$131$	0.732051	+	0.196152i	0.0639596	+	0.0171379i	−0.226697	+	0.973965i	$0.572793\pi$
$132$	3.73205	+	1.00000i	0.324833	+	0.0870388i
$133$	8.92820	+	15.4641i	0.774173	+	1.34091i
$134$	3.92820	−	3.92820i	0.339345	−	0.339345i
$135$	−6.50000	−	7.33013i	−0.559431	−	0.630877i
$136$	5.36603	−	3.09808i	0.460133	−	0.265658i
$137$	2.00000	+	2.00000i	0.170872	+	0.170872i	0.787362	−	0.616491i	$-0.211446\pi$
$137$	2.00000	+	2.00000i	0.170872	+	0.170872i	−0.616491	+	0.787362i	$0.711446\pi$
$138$	−8.19615	−	8.19615i	−0.697703	−	0.697703i
$139$	−5.46410	−	9.46410i	−0.463459	−	0.802735i	0.535671	−	0.844426i	$-0.320059\pi$
$139$	−5.46410	−	9.46410i	−0.463459	−	0.802735i	−0.999131	+	0.0416919i	$0.986725\pi$
$140$	−6.00000	−	2.00000i	−0.507093	−	0.169031i
$141$	−14.6603	−	8.46410i	−1.23462	−	0.712806i
$142$	−2.92820			−0.245729
$143$	4.26795	+	2.46410i	0.356904	+	0.206059i
$144$	−0.633975	−	0.366025i	−0.0528312	−	0.0305021i
$145$	11.1962	−	9.92820i	0.929790	−	0.824492i
$146$		0			0
$147$	1.36603	−	1.36603i	0.112668	−	0.112668i
$148$	0.500000	−	6.06218i	0.0410997	−	0.498308i
$149$		−	22.7321i		−	1.86228i	−0.364659	−	0.931141i	$-0.618814\pi$
$149$		−	22.7321i		−	1.86228i	0.364659	−	0.931141i	$-0.381186\pi$
$150$	5.96410	+	7.59808i	0.486967	+	0.620380i
$151$	−2.76795	−	1.59808i	−0.225253	−	0.130050i	0.383127	−	0.923695i	$-0.374847\pi$
$151$	−2.76795	−	1.59808i	−0.225253	−	0.130050i	−0.608380	+	0.793646i	$0.708180\pi$
$152$	1.63397	+	6.09808i	0.132533	+	0.494619i
$153$	2.26795	−	3.92820i	0.183353	−	0.317576i
$154$	−4.00000	+	4.00000i	−0.322329	+	0.322329i
$155$	14.3301	+	16.1603i	1.15102	+	1.29802i
$156$	−3.36603	−	3.36603i	−0.269498	−	0.269498i
$157$	−5.25833	+	19.6244i	−0.419660	+	1.56619i	0.355653	+	0.934618i	$0.384258\pi$
$157$	−5.25833	+	19.6244i	−0.419660	+	1.56619i	−0.775314	+	0.631576i	$0.782408\pi$
$158$	5.00000	−	5.00000i	0.397779	−	0.397779i
$159$	9.73205			0.771802
$160$	−1.86603	−	1.23205i	−0.147522	−	0.0974022i
$161$	16.3923	−	4.39230i	1.29189	−	0.346162i
$162$	10.6603			0.837549
$163$	3.06218	−	1.76795i	0.239848	−	0.138476i	−0.375259	−	0.926920i	$-0.622446\pi$
$163$	3.06218	−	1.76795i	0.239848	−	0.138476i	0.615107	+	0.788444i	$0.289113\pi$
$164$	5.59808	−	3.23205i	0.437136	−	0.252381i
$165$	8.46410	−	1.73205i	0.658929	−	0.134840i
$166$	4.16987	+	15.5622i	0.323645	+	1.20786i
$167$	17.9545	+	10.3660i	1.38936	+	0.802147i	0.993243	−	0.116053i	$-0.0370243\pi$
$167$	17.9545	+	10.3660i	1.38936	+	0.802147i	0.396117	+	0.918200i	$0.370358\pi$
$168$	4.73205	−	2.73205i	0.365086	−	0.210782i
$169$	3.46410	+	6.00000i	0.266469	+	0.461538i
$170$	7.63397	−	11.5622i	0.585499	−	0.886779i
$171$	3.26795	+	3.26795i	0.249906	+	0.249906i
$172$	5.50000	−	9.52628i	0.419371	−	0.726372i
$173$	6.29423	−	23.4904i	0.478541	−	1.78594i	−0.128991	−	0.991646i	$-0.541174\pi$
$173$	6.29423	−	23.4904i	0.478541	−	1.78594i	0.607532	−	0.794295i	$-0.292159\pi$
$174$			12.9282i			0.980085i
$175$	−14.0000	+	2.00000i	−1.05830	+	0.151186i
$176$	−1.73205	+	1.00000i	−0.130558	+	0.0753778i
$177$	6.19615			0.465731
$178$	−1.63397	+	0.437822i	−0.122472	+	0.0328162i
$179$	10.3923	+	10.3923i	0.776757	+	0.776757i	0.979278	−	0.202521i	$-0.0649133\pi$
$179$	10.3923	+	10.3923i	0.776757	+	0.776757i	−0.202521	+	0.979278i	$0.564913\pi$
$180$	−1.63397	−	0.0980762i	−0.121789	−	0.00731017i
$181$	6.90192	−	11.9545i	0.513016	−	0.888570i	−0.486870	−	0.873474i	$-0.661861\pi$
$181$	6.90192	−	11.9545i	0.513016	−	0.888570i	0.999886	−	0.0150953i	$-0.00480517\pi$
$182$	6.73205	−	1.80385i	0.499013	−	0.133710i
$183$	1.73205	+	3.00000i	0.128037	+	0.221766i
$184$	6.00000			0.442326
$185$	−5.06218	−	12.6244i	−0.372179	−	0.928161i
$186$	−18.6603			−1.36824
$187$	−6.19615	−	10.7321i	−0.453108	−	0.784805i
$188$	8.46410	−	2.26795i	0.617308	−	0.165407i
$189$	−6.19615	+	10.7321i	−0.450704	+	0.780642i
$190$	9.36603	+	10.5622i	0.679483	+	0.766261i
$191$	−1.83013	−	1.83013i	−0.132423	−	0.132423i	0.637788	−	0.770212i	$-0.279849\pi$
$191$	−1.83013	−	1.83013i	−0.132423	−	0.132423i	−0.770212	+	0.637788i	$0.779849\pi$
$192$	1.86603	−	0.500000i	0.134669	−	0.0360844i
$193$	−0.339746			−0.0244554			−0.0122277	−	0.999925i	$-0.503892\pi$
$193$	−0.339746			−0.0244554			−0.0122277	+	0.999925i	$0.503892\pi$
$194$	−1.26795	+	0.732051i	−0.0910334	+	0.0525582i
$195$	−10.0981	−	3.36603i	−0.723138	−	0.241046i
$196$			1.00000i			0.0714286i
$197$	−2.10770	+	7.86603i	−0.150167	+	0.560431i	0.849304	+	0.527904i	$0.177022\pi$
$197$	−2.10770	+	7.86603i	−0.150167	+	0.560431i	−0.999471	+	0.0325267i	$0.989645\pi$
$198$	−0.732051	+	1.26795i	−0.0520246	+	0.0901092i
$199$	−14.7583	−	14.7583i	−1.04619	−	1.04619i	−0.998880	−	0.0473100i	$-0.984935\pi$
$199$	−14.7583	−	14.7583i	−1.04619	−	1.04619i	−0.0473100	−	0.998880i	$-0.515065\pi$
$200$	−4.96410	−	0.598076i	−0.351015	−	0.0422904i
$201$	5.36603	+	9.29423i	0.378490	+	0.655564i
$202$	−0.169873	+	0.0980762i	−0.0119522	+	0.00690062i
$203$	−16.3923	−	9.46410i	−1.15051	−	0.664250i
$204$	3.09808	+	11.5622i	0.216909	+	0.809514i
$205$	7.96410	−	12.0622i	0.556237	−	0.842459i
$206$	5.36603	−	3.09808i	0.373869	−	0.215853i
$207$	3.80385	−	2.19615i	0.264386	−	0.152643i
$208$	2.46410			0.170855
$209$	12.1962	−	3.26795i	0.843626	−	0.226049i
$210$	6.73205	−	10.1962i	0.464556	−	0.703601i
$211$	4.00000			0.275371			0.137686	−	0.990476i	$-0.456034\pi$
$211$	4.00000			0.275371			0.137686	+	0.990476i	$0.456034\pi$
$212$	−3.56218	+	3.56218i	−0.244651	+	0.244651i
$213$	1.46410	−	5.46410i	0.100319	−	0.374394i
$214$	9.83013	+	9.83013i	0.671974	+	0.671974i
$215$	1.47372	−	24.5526i	0.100507	−	1.67447i
$216$	−3.09808	+	3.09808i	−0.210797	+	0.210797i
$217$	13.6603	−	23.6603i	0.927318	−	1.60616i
$218$	0.267949	+	1.00000i	0.0181478	+	0.0677285i
$219$		0			0
$220$	−2.46410	+	3.73205i	−0.166130	+	0.251615i
$221$			15.2679i			1.02703i
$222$	11.0622	+	3.96410i	0.742445	+	0.266053i
$223$	−12.9282	+	12.9282i	−0.865737	+	0.865737i	−0.991997	−	0.126261i	$-0.959702\pi$
$223$	−12.9282	+	12.9282i	−0.865737	+	0.865737i	0.126261	+	0.991997i	$0.459702\pi$
$224$	−0.732051	+	2.73205i	−0.0489122	+	0.182543i
$225$	−3.36603	+	1.43782i	−0.224402	+	0.0958548i
$226$	5.19615	+	3.00000i	0.345643	+	0.199557i
$227$	−2.30385	−	1.33013i	−0.152912	−	0.0882836i	0.421592	−	0.906786i	$-0.361472\pi$
$227$	−2.30385	−	1.33013i	−0.152912	−	0.0882836i	−0.574504	+	0.818502i	$0.694805\pi$
$228$	−12.1962			−0.807710
$229$	−15.2942	−	8.83013i	−1.01067	−	0.583511i	−0.0992830	−	0.995059i	$-0.531655\pi$
$229$	−15.2942	−	8.83013i	−1.01067	−	0.583511i	−0.911388	+	0.411548i	$0.864988\pi$
$230$	12.0000	−	6.00000i	0.791257	−	0.395628i
$231$	−5.46410	−	9.46410i	−0.359511	−	0.622692i
$232$	−4.73205	−	4.73205i	−0.310674	−	0.310674i
$233$	15.8564	+	15.8564i	1.03879	+	1.03879i	0.999217	+	0.0395710i	$0.0125991\pi$
$233$	15.8564	+	15.8564i	1.03879	+	1.03879i	0.0395710	+	0.999217i	$0.487401\pi$
$234$	1.56218	−	0.901924i	0.102123	−	0.0589606i
$235$	14.6603	−	13.0000i	0.956330	−	0.848026i
$236$	−2.26795	+	2.26795i	−0.147631	+	0.147631i
$237$	6.83013	+	11.8301i	0.443664	+	0.768449i
$238$	−16.9282	−	4.53590i	−1.09729	−	0.294019i
$239$	−14.8301	−	3.97372i	−0.959281	−	0.257039i	−0.254985	−	0.966945i	$-0.582071\pi$
$239$	−14.8301	−	3.97372i	−0.959281	−	0.257039i	−0.704296	+	0.709906i	$0.748737\pi$
$240$	3.23205	−	2.86603i	0.208628	−	0.185001i
$241$	18.0263	−	4.83013i	1.16117	−	0.311136i	0.373740	−	0.927534i	$-0.378075\pi$
$241$	18.0263	−	4.83013i	1.16117	−	0.311136i	0.787435	+	0.616398i	$0.211409\pi$
$242$	−3.50000	−	6.06218i	−0.224989	−	0.389692i
$243$	−1.92820	+	7.19615i	−0.123694	+	0.461633i
$244$	−1.73205	−	0.464102i	−0.110883	−	0.0297111i
$245$	1.00000	+	2.00000i	0.0638877	+	0.127775i
$246$	3.23205	+	12.0622i	0.206068	+	0.769056i
$247$	−15.0263	−	4.02628i	−0.956099	−	0.256186i
$248$	6.83013	−	6.83013i	0.433713	−	0.433713i
$249$	−31.1244			−1.97243
$250$	−10.5263	+	3.76795i	−0.665740	+	0.238306i
$251$	5.73205	−	5.73205i	0.361804	−	0.361804i	−0.502673	−	0.864477i	$-0.667650\pi$
$251$	5.73205	−	5.73205i	0.361804	−	0.361804i	0.864477	+	0.502673i	$0.167650\pi$
$252$	0.535898	+	2.00000i	0.0337584	+	0.125988i
$253$		−	12.0000i		−	0.754434i
$254$	−8.83013	+	2.36603i	−0.554051	+	0.148458i
$255$	17.7583	+	20.0263i	1.11207	+	1.25409i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	0.294229	−	0.169873i	0.0183535	−	0.0105964i	−0.490795	−	0.871275i	$-0.663294\pi$
$257$	0.294229	−	0.169873i	0.0183535	−	0.0105964i	0.509149	+	0.860679i	$0.329960\pi$
$258$	15.0263	+	15.0263i	0.935495	+	0.935495i
$259$	−13.1244	+	11.1244i	−0.815508	+	0.691234i
$260$	4.92820	−	2.46410i	0.305634	−	0.152817i
$261$	−4.73205	−	1.26795i	−0.292907	−	0.0784841i
$262$	−0.196152	−	0.732051i	−0.0121183	−	0.0452262i
$263$	−0.0980762	+	0.0262794i	−0.00604764	+	0.00162046i	−0.261842	−	0.965111i	$-0.584330\pi$
$263$	−0.0980762	+	0.0262794i	−0.00604764	+	0.00162046i	0.255794	+	0.966731i	$0.417663\pi$
$264$	−1.00000	−	3.73205i	−0.0615457	−	0.229692i
$265$	−3.56218	+	10.6865i	−0.218823	+	0.656469i
$266$	8.92820	−	15.4641i	0.547423	−	0.948165i
$267$		−	3.26795i		−	0.199995i
$268$	−5.36603	−	1.43782i	−0.327782	−	0.0878290i
$269$		−	6.58846i		−	0.401705i	−0.979621	−	0.200853i	$-0.935629\pi$
$269$		−	6.58846i		−	0.401705i	0.979621	−	0.200853i	$-0.0643712\pi$
$270$	−3.09808	+	9.29423i	−0.188543	+	0.565629i
$271$	5.23205	+	9.06218i	0.317824	+	0.550488i	0.980034	−	0.198831i	$-0.0637144\pi$
$271$	5.23205	+	9.06218i	0.317824	+	0.550488i	−0.662209	+	0.749319i	$0.730381\pi$
$272$	−5.36603	−	3.09808i	−0.325363	−	0.187848i
$273$			13.4641i			0.814885i
$274$	0.732051	−	2.73205i	0.0442248	−	0.165049i
$275$	−1.19615	+	9.92820i	−0.0721307	+	0.598693i
$276$	−3.00000	+	11.1962i	−0.180579	+	0.673929i
$277$	8.33013	−	14.4282i	0.500509	−	0.866907i	−0.499491	−	0.866319i	$-0.666480\pi$
$277$	8.33013	−	14.4282i	0.500509	−	0.866907i	1.00000		0.000587640i	$-0.000187052\pi$
$278$	−5.46410	+	9.46410i	−0.327715	+	0.567619i
$279$	1.83013	−	6.83013i	0.109567	−	0.408909i
$280$	1.26795	+	6.19615i	0.0757745	+	0.370291i
$281$	−0.624356	+	2.33013i	−0.0372459	+	0.139004i	−0.982045	−	0.188646i	$-0.939590\pi$
$281$	−0.624356	+	2.33013i	−0.0372459	+	0.139004i	0.944799	+	0.327650i	$0.106257\pi$
$282$			16.9282i			1.00806i
$283$	11.2583	+	6.50000i	0.669238	+	0.386385i	0.795788	−	0.605575i	$-0.207057\pi$
$283$	11.2583	+	6.50000i	0.669238	+	0.386385i	−0.126550	+	0.991960i	$0.540390\pi$
$284$	1.46410	+	2.53590i	0.0868784	+	0.150478i
$285$	−24.3923	+	12.1962i	−1.44488	+	0.722438i
$286$		−	4.92820i		−	0.291411i
$287$	−17.6603	−	4.73205i	−1.04245	−	0.279324i
$288$			0.732051i			0.0431365i
$289$	10.6962	−	18.5263i	0.629185	−	1.08978i
$290$	−14.1962	−	4.73205i	−0.833627	−	0.277876i
$291$	−0.732051	−	2.73205i	−0.0429136	−	0.160156i
$292$		0			0
$293$	0.839746	+	3.13397i	0.0490585	+	0.183089i	0.986107	−	0.166110i	$-0.0531206\pi$
$293$	0.839746	+	3.13397i	0.0490585	+	0.183089i	−0.937049	+	0.349198i	$0.886454\pi$
$294$	−1.86603	−	0.500000i	−0.108829	−	0.0291606i
$295$	−2.26795	+	6.80385i	−0.132045	+	0.396135i
$296$	−5.50000	+	2.59808i	−0.319681	+	0.151010i
$297$	6.19615	+	6.19615i	0.359537	+	0.359537i
$298$	−19.6865	+	11.3660i	−1.14041	+	0.658416i
$299$	−7.39230	+	12.8038i	−0.427508	+	0.740466i
$300$	3.59808	−	8.96410i	0.207735	−	0.517543i
$301$	−30.0526	+	8.05256i	−1.73220	+	0.464142i
$302$			3.19615i			0.183918i
$303$	−0.0980762	−	0.366025i	−0.00563433	−	0.0210276i
$304$	4.46410	−	4.46410i	0.256034	−	0.256034i
$305$	−3.92820	+	0.803848i	−0.224928	+	0.0460282i
$306$	−4.53590			−0.259300
$307$	−15.4186	+	15.4186i	−0.879985	+	0.879985i	−0.993533	−	0.113547i	$-0.963779\pi$
$307$	−15.4186	+	15.4186i	−0.879985	+	0.879985i	0.113547	+	0.993533i	$0.463779\pi$
$308$	5.46410	+	1.46410i	0.311346	+	0.0834249i
$309$	3.09808	+	11.5622i	0.176243	+	0.657749i
$310$	6.83013	−	20.4904i	0.387925	−	1.16378i
$311$	15.2583	+	4.08846i	0.865221	+	0.231835i	0.664020	−	0.747715i	$-0.268849\pi$
$311$	15.2583	+	4.08846i	0.865221	+	0.231835i	0.201201	+	0.979550i	$0.435516\pi$
$312$	−1.23205	+	4.59808i	−0.0697511	+	0.260315i
$313$	8.73205	+	15.1244i	0.493565	+	0.854879i	0.999973	−	0.00741498i	$-0.00236028\pi$
$313$	8.73205	+	15.1244i	0.493565	+	0.854879i	−0.506408	+	0.862294i	$0.669027\pi$
$314$	19.6244	−	5.25833i	1.10747	−	0.296745i
$315$	3.07180	+	3.46410i	0.173076	+	0.195180i
$316$	−6.83013	−	1.83013i	−0.384225	−	0.102953i
$317$	26.8205	+	7.18653i	1.50639	+	0.403636i	0.915234	−	0.402922i	$-0.132005\pi$
$317$	26.8205	+	7.18653i	1.50639	+	0.403636i	0.591155	+	0.806558i	$0.298672\pi$
$318$	−4.86603	−	8.42820i	−0.272873	−	0.472630i
$319$	−9.46410	+	9.46410i	−0.529888	+	0.529888i
$320$	−0.133975	+	2.23205i	−0.00748941	+	0.124775i
$321$	−23.2583	+	13.4282i	−1.29815	+	0.749489i
$322$	−12.0000	−	12.0000i	−0.668734	−	0.668734i
$323$	27.6603	+	27.6603i	1.53906	+	1.53906i
$324$	−5.33013	−	9.23205i	−0.296118	−	0.512892i
$325$	7.39230	−	9.85641i	0.410051	−	0.546735i
$326$	−3.06218	−	1.76795i	−0.169598	−	0.0979176i
$327$	−2.00000			−0.110600
$328$	−5.59808	−	3.23205i	−0.309102	−	0.178460i
$329$	−21.4641	−	12.3923i	−1.18335	−	0.683210i
$330$	−5.73205	−	6.46410i	−0.315539	−	0.355837i
$331$	0.830127	−	3.09808i	0.0456279	−	0.170286i	−0.939352	−	0.342954i	$-0.888572\pi$
$331$	0.830127	−	3.09808i	0.0456279	−	0.170286i	0.984980	+	0.172669i	$0.0552390\pi$
$332$	11.3923	−	11.3923i	0.625234	−	0.625234i
$333$	−2.53590	+	3.66025i	−0.138966	+	0.200581i
$334$		−	20.7321i		−	1.13441i
$335$	−12.1699	+	2.49038i	−0.664911	+	0.136064i
$336$	−4.73205	−	2.73205i	−0.258155	−	0.149046i
$337$	2.02628	+	7.56218i	0.110378	+	0.411938i	0.998900	−	0.0468974i	$-0.0149334\pi$
$337$	2.02628	+	7.56218i	0.110378	+	0.411938i	−0.888521	+	0.458835i	$0.848267\pi$
$338$	3.46410	−	6.00000i	0.188422	−	0.326357i
$339$	−8.19615	+	8.19615i	−0.445154	+	0.445154i
$340$	−13.8301	−	0.830127i	−0.750044	−	0.0450200i
$341$	−13.6603	−	13.6603i	−0.739744	−	0.739744i
$342$	1.19615	−	4.46410i	0.0646805	−	0.241391i
$343$	−12.0000	+	12.0000i	−0.647939	+	0.647939i
$344$	−11.0000			−0.593080
$345$	5.19615	+	25.3923i	0.279751	+	1.36708i
$346$	−23.4904	+	6.29423i	−1.26285	+	0.338380i
$347$	19.8564			1.06595			0.532974	−	0.846132i	$-0.321074\pi$
$347$	19.8564			1.06595			0.532974	+	0.846132i	$0.321074\pi$
$348$	11.1962	−	6.46410i	0.600177	−	0.346512i
$349$	31.0981	−	17.9545i	1.66464	−	0.961081i	0.694188	−	0.719793i	$-0.255764\pi$
$349$	31.0981	−	17.9545i	1.66464	−	0.961081i	0.970454	−	0.241288i	$-0.0775698\pi$
$350$	8.73205	+	11.1244i	0.466748	+	0.594622i
$351$	−2.79423	−	10.4282i	−0.149145	−	0.556616i
$352$	1.73205	+	1.00000i	0.0923186	+	0.0533002i
$353$	−28.3923	+	16.3923i	−1.51117	+	0.872474i	−0.511255	+	0.859429i	$0.670819\pi$
$353$	−28.3923	+	16.3923i	−1.51117	+	0.872474i	−0.999915	+	0.0130453i	$0.995847\pi$
$354$	−3.09808	−	5.36603i	−0.164661	−	0.285201i
$355$	5.46410	+	3.60770i	0.290004	+	0.191477i
$356$	1.19615	+	1.19615i	0.0633960	+	0.0633960i
$357$	16.9282	−	29.3205i	0.895936	−	1.55181i
$358$	3.80385	−	14.1962i	0.201040	−	0.750290i
$359$			3.39230i			0.179039i	0.995985	+	0.0895195i	$0.0285331\pi$
$359$			3.39230i			0.179039i	−0.995985	+	0.0895195i	$0.971467\pi$
$360$	0.732051	+	1.46410i	0.0385825	+	0.0771649i
$361$	−18.0622	+	10.4282i	−0.950641	+	0.548853i
$362$	−13.8038			−0.725514
$363$	13.0622	−	3.50000i	0.685587	−	0.183702i
$364$	−4.92820	−	4.92820i	−0.258308	−	0.258308i
$365$		0			0
$366$	1.73205	−	3.00000i	0.0905357	−	0.156813i
$367$	34.7846	−	9.32051i	1.81574	−	0.486527i	0.819495	−	0.573086i	$-0.194254\pi$
$367$	34.7846	−	9.32051i	1.81574	−	0.486527i	0.996247	+	0.0865595i	$0.0275873\pi$
$368$	−3.00000	−	5.19615i	−0.156386	−	0.270868i
$369$	−4.73205			−0.246341
$370$	−8.40192	+	10.6962i	−0.436795	+	0.556066i
$371$	14.2487			0.739756
$372$	9.33013	+	16.1603i	0.483745	+	0.837870i
$373$	5.13397	−	1.37564i	0.265827	−	0.0712282i	−0.123443	−	0.992352i	$-0.539394\pi$
$373$	5.13397	−	1.37564i	0.265827	−	0.0712282i	0.389271	+	0.921123i	$0.372727\pi$
$374$	−6.19615	+	10.7321i	−0.320395	+	0.554941i
$375$	−1.76795	−	21.5263i	−0.0912965	−	1.11161i
$376$	−6.19615	−	6.19615i	−0.319542	−	0.319542i
$377$	15.9282	−	4.26795i	0.820344	−	0.219811i
$378$	12.3923			0.637391
$379$	−12.5885	+	7.26795i	−0.646626	+	0.373329i	−0.787162	−	0.616746i	$-0.788451\pi$
$379$	−12.5885	+	7.26795i	−0.646626	+	0.373329i	0.140537	+	0.990075i	$0.455117\pi$
$380$	4.46410	−	13.3923i	0.229004	−	0.687011i
$381$		−	17.6603i		−	0.904762i
$382$	−0.669873	+	2.50000i	−0.0342737	+	0.127911i
$383$	7.73205	−	13.3923i	0.395089	−	0.684315i	−0.598023	−	0.801479i	$-0.704047\pi$
$383$	7.73205	−	13.3923i	0.395089	−	0.684315i	0.993113	+	0.117164i	$0.0373803\pi$
$384$	−1.36603	−	1.36603i	−0.0697097	−	0.0697097i
$385$	12.3923	−	2.53590i	0.631570	−	0.129241i
$386$	0.169873	+	0.294229i	0.00864631	+	0.0149758i
$387$	−6.97372	+	4.02628i	−0.354494	+	0.204667i
$388$	1.26795	+	0.732051i	0.0643704	+	0.0371642i
$389$	−0.901924	−	3.36603i	−0.0457294	−	0.170664i	0.939285	−	0.343139i	$-0.111490\pi$
$389$	−0.901924	−	3.36603i	−0.0457294	−	0.170664i	−0.985014	+	0.172475i	$0.944824\pi$
$390$	2.13397	+	10.4282i	0.108058	+	0.528053i
$391$	32.1962	−	18.5885i	1.62823	−	0.940059i
$392$	0.866025	−	0.500000i	0.0437409	−	0.0252538i
$393$	1.46410			0.0738542
$394$	7.86603	−	2.10770i	0.396285	−	0.106184i
$395$	−15.4904	+	3.16987i	−0.779406	+	0.159494i
$396$	1.46410			0.0735739
$397$	2.24167	−	2.24167i	0.112506	−	0.112506i	−0.648613	−	0.761119i	$-0.724650\pi$
$397$	2.24167	−	2.24167i	0.112506	−	0.112506i	0.761119	+	0.648613i	$0.224650\pi$
$398$	−5.40192	+	20.1603i	−0.270774	+	1.01054i
$399$	24.3923	+	24.3923i	1.22114	+	1.22114i
$400$	1.96410	+	4.59808i	0.0982051	+	0.229904i
$401$	−16.1244	+	16.1244i	−0.805212	+	0.805212i	−0.983905	−	0.178693i	$-0.942813\pi$
$401$	−16.1244	+	16.1244i	−0.805212	+	0.805212i	0.178693	+	0.983905i	$0.442813\pi$
$402$	5.36603	−	9.29423i	0.267633	−	0.463554i
$403$	6.16025	+	22.9904i	0.306864	+	1.14523i
$404$	0.169873	+	0.0980762i	0.00845150	+	0.00487947i
$405$	−19.8923	−	13.1340i	−0.988457	−	0.652632i
$406$			18.9282i			0.939391i
$407$	5.19615	+	11.0000i	0.257564	+	0.545250i
$408$	8.46410	−	8.46410i	0.419035	−	0.419035i
$409$	7.10770	−	26.5263i	0.351453	−	1.31164i	−0.533437	−	0.845840i	$-0.679100\pi$
$409$	7.10770	−	26.5263i	0.351453	−	1.31164i	0.884890	−	0.465800i	$-0.154233\pi$
$410$	−14.4282	−	0.866025i	−0.712558	−	0.0427699i
$411$	4.73205	+	2.73205i	0.233415	+	0.134762i
$412$	−5.36603	−	3.09808i	−0.264365	−	0.152631i
$413$	9.07180			0.446394
$414$	−3.80385	−	2.19615i	−0.186949	−	0.107935i
$415$	11.3923	−	34.1769i	0.559226	−	1.67768i
$416$	−1.23205	−	2.13397i	−0.0604063	−	0.104627i
$417$	−14.9282	−	14.9282i	−0.731037	−	0.731037i
$418$	−8.92820	−	8.92820i	−0.436693	−	0.436693i
$419$	−12.4186	+	7.16987i	−0.606688	+	0.350271i	−0.771668	−	0.636026i	$-0.780577\pi$
$419$	−12.4186	+	7.16987i	−0.606688	+	0.350271i	0.164980	+	0.986297i	$0.447244\pi$
$420$	−12.1962	−	0.732051i	−0.595111	−	0.0357204i
$421$	−8.66025	+	8.66025i	−0.422075	+	0.422075i	−0.885918	−	0.463843i	$-0.846470\pi$
$421$	−8.66025	+	8.66025i	−0.422075	+	0.422075i	0.463843	+	0.885918i	$0.346470\pi$
$422$	−2.00000	−	3.46410i	−0.0973585	−	0.168630i
$423$	−6.19615	−	1.66025i	−0.301267	−	0.0807243i
$424$	4.86603	+	1.30385i	0.236315	+	0.0633204i
$425$	−28.4904	+	12.1699i	−1.38199	+	0.590326i
$426$	−5.46410	+	1.46410i	−0.264737	+	0.0709360i
$427$	2.53590	+	4.39230i	0.122721	+	0.212559i
$428$	3.59808	−	13.4282i	0.173920	−	0.649077i
$429$	9.19615	+	2.46410i	0.443994	+	0.118968i
$430$	−22.0000	+	11.0000i	−1.06093	+	0.530467i
$431$	−4.10770	−	15.3301i	−0.197861	−	0.738426i	−0.991508	−	0.130048i	$-0.958487\pi$
$431$	−4.10770	−	15.3301i	−0.197861	−	0.738426i	0.793647	−	0.608379i	$-0.208180\pi$
$432$	4.23205	+	1.13397i	0.203615	+	0.0545584i
$433$	3.19615	−	3.19615i	0.153597	−	0.153597i	−0.626125	−	0.779723i	$-0.715360\pi$
$433$	3.19615	−	3.19615i	0.153597	−	0.153597i	0.779723	+	0.626125i	$0.215360\pi$
$434$	−27.3205			−1.31143
$435$	15.9282	−	24.1244i	0.763699	−	1.15667i
$436$	0.732051	−	0.732051i	0.0350589	−	0.0350589i
$437$	9.80385	+	36.5885i	0.468982	+	1.75026i
$438$		0			0
$439$	−0.866025	+	0.232051i	−0.0413331	+	0.0110752i	−0.279426	−	0.960167i	$-0.590144\pi$
$439$	−0.866025	+	0.232051i	−0.0413331	+	0.0110752i	0.238093	+	0.971242i	$0.423478\pi$
$440$	4.46410	+	0.267949i	0.212818	+	0.0127740i
$441$	0.366025	−	0.633975i	0.0174298	−	0.0301893i
$442$	13.2224	−	7.63397i	0.628927	−	0.363111i
$443$	−18.7583	−	18.7583i	−0.891235	−	0.891235i	0.103404	−	0.994639i	$-0.467026\pi$
$443$	−18.7583	−	18.7583i	−0.891235	−	0.891235i	−0.994639	+	0.103404i	$0.967026\pi$
$444$	−2.09808	−	11.5622i	−0.0995703	−	0.548717i
$445$	3.58846	+	1.19615i	0.170109	+	0.0567031i
$446$	17.6603	+	4.73205i	0.836237	+	0.224069i
$447$	−11.3660	−	42.4186i	−0.537595	−	2.00633i
$448$	2.73205	−	0.732051i	0.129077	−	0.0345861i
$449$	0.428203	+	1.59808i	0.0202082	+	0.0754179i	0.975294	−	0.220913i	$-0.0709036\pi$
$449$	0.428203	+	1.59808i	0.0202082	+	0.0754179i	−0.955085	+	0.296331i	$0.904237\pi$
$450$	2.92820	+	2.19615i	0.138037	+	0.103528i
$451$	−6.46410	+	11.1962i	−0.304383	+	0.527206i
$452$		−	6.00000i		−	0.282216i
$453$	−5.96410	−	1.59808i	−0.280218	−	0.0750842i
$454$			2.66025i			0.124852i
$455$	−14.7846	−	4.92820i	−0.693113	−	0.231038i
$456$	6.09808	+	10.5622i	0.285569	+	0.494619i
$457$	−23.1962	−	13.3923i	−1.08507	−	0.626466i	−0.152811	−	0.988255i	$-0.548832\pi$
$457$	−23.1962	−	13.3923i	−1.08507	−	0.626466i	−0.932260	+	0.361790i	$0.882166\pi$
$458$			17.6603i			0.825209i
$459$	−7.02628	+	26.2224i	−0.327959	+	1.22396i
$460$	−11.1962	−	7.39230i	−0.522023	−	0.344668i
$461$	−4.53590	+	16.9282i	−0.211258	+	0.788425i	0.776193	+	0.630496i	$0.217148\pi$
$461$	−4.53590	+	16.9282i	−0.211258	+	0.788425i	−0.987450	+	0.157929i	$0.949518\pi$
$462$	−5.46410	+	9.46410i	−0.254213	+	0.440310i
$463$	−4.16987	+	7.22243i	−0.193790	+	0.335655i	−0.946503	−	0.322694i	$-0.895412\pi$
$463$	−4.16987	+	7.22243i	−0.193790	+	0.335655i	0.752713	+	0.658349i	$0.228745\pi$
$464$	−1.73205	+	6.46410i	−0.0804084	+	0.300088i
$465$	34.8205	+	22.9904i	1.61476	+	1.06615i
$466$	5.80385	−	21.6603i	0.268858	−	1.00339i
$467$			29.9282i			1.38491i	0.721460	+	0.692456i	$0.243471\pi$
$467$			29.9282i			1.38491i	−0.721460	+	0.692456i	$0.756529\pi$
$468$	−1.56218	−	0.901924i	−0.0722117	−	0.0416914i
$469$	7.85641	+	13.6077i	0.362775	+	0.628345i
$470$	−18.5885	−	6.19615i	−0.857422	−	0.285807i
$471$			39.2487i			1.80849i
$472$	3.09808	+	0.830127i	0.142601	+	0.0382097i
$473$			22.0000i			1.01156i
$474$	6.83013	−	11.8301i	0.313718	−	0.543376i
$475$	−4.46410	−	31.2487i	−0.204827	−	1.43379i
$476$	4.53590	+	16.9282i	0.207903	+	0.775903i
$477$	3.56218	−	0.954483i	0.163101	−	0.0437028i
$478$	3.97372	+	14.8301i	0.181754	+	0.678314i
$479$	3.96410	+	1.06218i	0.181124	+	0.0485321i	0.348241	−	0.937405i	$-0.386779\pi$
$479$	3.96410	+	1.06218i	0.181124	+	0.0485321i	−0.167117	+	0.985937i	$0.553446\pi$
$480$	−4.09808	−	1.36603i	−0.187051	−	0.0623502i
$481$	1.23205	−	14.9378i	0.0561767	−	0.681106i
$482$	−13.1962	−	13.1962i	−0.601068	−	0.601068i
$483$	28.3923	−	16.3923i	1.29189	−	0.745876i
$484$	−3.50000	+	6.06218i	−0.159091	+	0.275554i
$485$	3.26795	+	0.196152i	0.148390	+	0.00890682i
$486$	7.19615	−	1.92820i	0.326424	−	0.0874651i
$487$			41.4641i			1.87892i	0.342662	+	0.939459i	$0.388672\pi$
$487$			41.4641i			1.87892i	−0.342662	+	0.939459i	$0.611328\pi$
$488$	0.464102	+	1.73205i	0.0210089	+	0.0784063i
$489$	4.83013	−	4.83013i	0.218426	−	0.218426i
$490$	1.23205	−	1.86603i	0.0556584	−	0.0842984i
$491$	−8.19615			−0.369887			−0.184944	−	0.982749i	$-0.559210\pi$
$491$	−8.19615			−0.369887			−0.184944	+	0.982749i	$0.559210\pi$
$492$	8.83013	−	8.83013i	0.398093	−	0.398093i
$493$	−40.0526	−	10.7321i	−1.80388	−	0.483347i
$494$	4.02628	+	15.0263i	0.181151	+	0.676064i
$495$	2.92820	−	1.46410i	0.131613	−	0.0658065i
$496$	−9.33013	−	2.50000i	−0.418935	−	0.112253i
$497$	2.14359	−	8.00000i	0.0961533	−	0.358849i
$498$	15.5622	+	26.9545i	0.697358	+	1.20786i
$499$	15.1962	−	4.07180i	0.680273	−	0.182279i	0.0978952	−	0.995197i	$-0.468789\pi$
$499$	15.1962	−	4.07180i	0.680273	−	0.182279i	0.582378	+	0.812918i	$0.302122\pi$
$500$	8.52628	+	7.23205i	0.381307	+	0.323427i
$501$	38.6865	+	10.3660i	1.72839	+	0.463120i
$502$	−7.83013	−	2.09808i	−0.349476	−	0.0936417i
$503$	1.43782	+	2.49038i	0.0641093	+	0.111041i	0.896299	−	0.443451i	$-0.146246\pi$
$503$	1.43782	+	2.49038i	0.0641093	+	0.111041i	−0.832189	+	0.554492i	$0.812913\pi$
$504$	1.46410	−	1.46410i	0.0652163	−	0.0652163i
$505$	0.437822	+	0.0262794i	0.0194828	+	0.00116942i
$506$	−10.3923	+	6.00000i	−0.461994	+	0.266733i
$507$	9.46410	+	9.46410i	0.420316	+	0.420316i
$508$	6.46410	+	6.46410i	0.286798	+	0.286798i
$509$	−5.07180	−	8.78461i	−0.224803	−	0.389371i	0.731457	−	0.681888i	$-0.238841\pi$
$509$	−5.07180	−	8.78461i	−0.224803	−	0.389371i	−0.956260	+	0.292517i	$0.905507\pi$
$510$	8.46410	−	25.3923i	0.374797	−	1.12439i
$511$		0			0
$512$	1.00000			0.0441942
$513$	−23.9545	−	13.8301i	−1.05762	−	0.610615i
$514$	−0.294229	−	0.169873i	−0.0129779	−	0.00749278i
$515$	−13.8301	−	0.830127i	−0.609428	−	0.0365798i
$516$	5.50000	−	20.5263i	0.242124	−	0.903619i
$517$	−12.3923	+	12.3923i	−0.545013	+	0.545013i
$518$	16.1962	+	5.80385i	0.711618	+	0.255006i
$519$		−	46.9808i		−	2.06223i
$520$	−4.59808	−	3.03590i	−0.201639	−	0.133133i
$521$	−17.0885	−	9.86603i	−0.748659	−	0.432238i	0.0765502	−	0.997066i	$-0.475609\pi$
$521$	−17.0885	−	9.86603i	−0.748659	−	0.432238i	−0.825209	+	0.564827i	$0.808943\pi$
$522$	1.26795	+	4.73205i	0.0554966	+	0.207116i
$523$	−9.59808	+	16.6244i	−0.419695	+	0.726932i	−0.995909	−	0.0903665i	$-0.971196\pi$
$523$	−9.59808	+	16.6244i	−0.419695	+	0.726932i	0.576214	+	0.817299i	$0.304529\pi$
$524$	−0.535898	+	0.535898i	−0.0234108	+	0.0234108i
$525$	−25.1244	+	10.7321i	−1.09652	+	0.468385i
$526$	0.0717968	+	0.0717968i	0.00313049	+	0.00313049i
$527$	15.4904	−	57.8109i	0.674772	−	2.51828i
$528$	−2.73205	+	2.73205i	−0.118897	+	0.118897i
$529$	13.0000			0.565217
$530$	11.0359	−	2.25833i	0.479369	−	0.0980956i
$531$	2.26795	−	0.607695i	0.0984206	−	0.0263717i
$532$	−17.8564			−0.774173
$533$	13.7942	−	7.96410i	0.597494	−	0.344964i
$534$	−2.83013	+	1.63397i	−0.122472	+	0.0707090i
$535$	−6.23205	−	30.4545i	−0.269435	−	1.31666i
$536$	1.43782	+	5.36603i	0.0621045	+	0.231777i
$537$	24.5885	+	14.1962i	1.06107	+	0.612609i
$538$	−5.70577	+	3.29423i	−0.245993	+	0.142024i
$539$	−1.00000	−	1.73205i	−0.0430730	−	0.0746047i
$540$	9.59808	−	1.96410i	0.413035	−	0.0845215i
$541$	5.07180	+	5.07180i	0.218054	+	0.218054i	0.807678	−	0.589624i	$-0.200724\pi$
$541$	5.07180	+	5.07180i	0.218054	+	0.218054i	−0.589624	+	0.807678i	$0.700724\pi$
$542$	5.23205	−	9.06218i	0.224736	−	0.389254i
$543$	6.90192	−	25.7583i	0.296190	−	1.10540i
$544$			6.19615i			0.265658i
$545$	0.732051	−	2.19615i	0.0313576	−	0.0940728i
$546$	11.6603	−	6.73205i	0.499013	−	0.288105i
$547$	17.9808			0.768802			0.384401	−	0.923166i	$-0.374408\pi$
$547$	17.9808			0.768802			0.384401	+	0.923166i	$0.374408\pi$
$548$	−2.73205	+	0.732051i	−0.116707	+	0.0312717i
$549$	0.928203	+	0.928203i	0.0396147	+	0.0396147i
$550$	9.19615	−	3.92820i	0.392125	−	0.167499i
$551$	21.1244	−	36.5885i	0.899928	−	1.55872i
$552$	11.1962	−	3.00000i	0.476540	−	0.127688i
$553$	10.0000	+	17.3205i	0.425243	+	0.736543i
$554$	−16.6603			−0.707826
$555$	−15.7583	−	21.0263i	−0.668904	−	0.892516i
$556$	10.9282			0.463459
$557$	18.6962	+	32.3827i	0.792181	+	1.37210i	0.924614	+	0.380906i	$0.124388\pi$
$557$	18.6962	+	32.3827i	0.792181	+	1.37210i	−0.132432	+	0.991192i	$0.542279\pi$
$558$	−6.83013	+	1.83013i	−0.289142	+	0.0774755i
$559$	13.5526	−	23.4737i	0.573212	−	0.992833i
$560$	4.73205	−	4.19615i	0.199966	−	0.177320i
$561$	−16.9282	−	16.9282i	−0.714709	−	0.714709i
$562$	2.33013	−	0.624356i	0.0982905	−	0.0263369i
$563$	15.6077			0.657786			0.328893	−	0.944367i	$-0.393324\pi$
$563$	15.6077			0.657786			0.328893	+	0.944367i	$0.393324\pi$
$564$	14.6603	−	8.46410i	0.617308	−	0.356403i
$565$	−6.00000	−	12.0000i	−0.252422	−	0.504844i
$566$		−	13.0000i		−	0.546431i
$567$	−7.80385	+	29.1244i	−0.327731	+	1.22311i
$568$	1.46410	−	2.53590i	0.0614323	−	0.106404i
$569$	16.3660	+	16.3660i	0.686099	+	0.686099i	0.961368	−	0.275268i	$-0.0887666\pi$
$569$	16.3660	+	16.3660i	0.686099	+	0.686099i	−0.275268	+	0.961368i	$0.588767\pi$
$570$	22.7583	+	15.0263i	0.953242	+	0.629382i
$571$	20.7583	+	35.9545i	0.868709	+	1.50465i	0.863317	+	0.504663i	$0.168383\pi$
$571$	20.7583	+	35.9545i	0.868709	+	1.50465i	0.00539254	+	0.999985i	$0.498283\pi$
$572$	−4.26795	+	2.46410i	−0.178452	+	0.103029i
$573$	−4.33013	−	2.50000i	−0.180894	−	0.104439i
$574$	4.73205	+	17.6603i	0.197512	+	0.737125i
$575$	−29.7846	−	3.58846i	−1.24210	−	0.149649i
$576$	0.633975	−	0.366025i	0.0264156	−	0.0152511i
$577$	4.39230	−	2.53590i	0.182854	−	0.105571i	−0.405779	−	0.913971i	$-0.633000\pi$
$577$	4.39230	−	2.53590i	0.182854	−	0.105571i	0.588633	+	0.808400i	$0.299666\pi$
$578$	−21.3923			−0.889803
$579$	−0.633975	+	0.169873i	−0.0263471	+	0.00705968i
$580$	3.00000	+	14.6603i	0.124568	+	0.608734i
$581$	−45.5692			−1.89053
$582$	−2.00000	+	2.00000i	−0.0829027	+	0.0829027i
$583$	2.60770	−	9.73205i	0.108000	−	0.403060i
$584$		0			0
$585$	−4.02628	−	0.241670i	−0.166466	−	0.00999181i
$586$	2.29423	−	2.29423i	0.0947737	−	0.0947737i
$587$	7.16025	−	12.4019i	0.295535	−	0.511882i	−0.679574	−	0.733607i	$-0.737835\pi$
$587$	7.16025	−	12.4019i	0.295535	−	0.511882i	0.975109	+	0.221725i	$0.0711687\pi$
$588$	0.500000	+	1.86603i	0.0206197	+	0.0769536i
$589$	52.8109	+	30.4904i	2.17603	+	1.25633i
$590$	7.02628	−	1.43782i	0.289267	−	0.0591942i
$591$			15.7321i			0.647130i
$592$	5.00000	+	3.46410i	0.205499	+	0.142374i
$593$	−18.6603	+	18.6603i	−0.766285	+	0.766285i	−0.977450	−	0.211166i	$-0.932274\pi$
$593$	−18.6603	+	18.6603i	−0.766285	+	0.766285i	0.211166	+	0.977450i	$0.432274\pi$
$594$	2.26795	−	8.46410i	0.0930551	−	0.347286i
$595$	26.0000	+	29.3205i	1.06590	+	1.20202i
$596$	19.6865	+	11.3660i	0.806392	+	0.465571i
$597$	−34.9186	−	20.1603i	−1.42912	−	0.825104i
$598$	14.7846			0.604588
$599$	39.6051	+	22.8660i	1.61822	+	0.934280i	0.987380	+	0.158368i	$0.0506234\pi$
$599$	39.6051	+	22.8660i	1.61822	+	0.934280i	0.630841	+	0.775912i	$0.282710\pi$
$600$	−9.56218	+	1.36603i	−0.390374	+	0.0557678i
$601$	13.7942	+	23.8923i	0.562678	+	0.974587i	0.997262	+	0.0739558i	$0.0235624\pi$
$601$	13.7942	+	23.8923i	0.562678	+	0.974587i	−0.434583	+	0.900632i	$0.643104\pi$
$602$	22.0000	+	22.0000i	0.896653	+	0.896653i
$603$	2.87564	+	2.87564i	0.117105	+	0.117105i
$604$	2.76795	−	1.59808i	0.112626	−	0.0650248i
$605$	−0.937822	+	15.6244i	−0.0381279	+	0.635220i
$606$	−0.267949	+	0.267949i	−0.0108847	+	0.0108847i
$607$	−7.02628	−	12.1699i	−0.285188	−	0.493960i	0.687467	−	0.726216i	$-0.258723\pi$
$607$	−7.02628	−	12.1699i	−0.285188	−	0.493960i	−0.972655	+	0.232256i	$0.925389\pi$
$608$	−6.09808	−	1.63397i	−0.247310	−	0.0662664i
$609$	−35.3205	−	9.46410i	−1.43126	−	0.383505i
$610$	2.66025	+	3.00000i	0.107711	+	0.121466i
$611$	20.8564	−	5.58846i	0.843760	−	0.226085i
$612$	2.26795	+	3.92820i	0.0916764	+	0.158788i
$613$	7.61474	−	28.4186i	0.307556	−	1.14782i	−0.623166	−	0.782089i	$-0.714154\pi$
$613$	7.61474	−	28.4186i	0.307556	−	1.14782i	0.930722	−	0.365726i	$-0.119179\pi$
$614$	21.0622	+	5.64359i	0.850000	+	0.227757i
$615$	8.83013	−	26.4904i	0.356065	−	1.06820i
$616$	−1.46410	−	5.46410i	−0.0589903	−	0.220155i
$617$	−23.9545	−	6.41858i	−0.964371	−	0.258402i	−0.257922	−	0.966166i	$-0.583038\pi$
$617$	−23.9545	−	6.41858i	−0.964371	−	0.258402i	−0.706450	+	0.707763i	$0.749704\pi$
$618$	8.46410	−	8.46410i	0.340476	−	0.340476i
$619$	13.0718			0.525400			0.262700	−	0.964878i	$-0.415387\pi$
$619$	13.0718			0.525400			0.262700	+	0.964878i	$0.415387\pi$
$620$	−21.1603	+	4.33013i	−0.849816	+	0.173902i
$621$	−18.5885	+	18.5885i	−0.745929	+	0.745929i
$622$	−4.08846	−	15.2583i	−0.163932	−	0.611803i
$623$		−	4.78461i		−	0.191691i
$624$	4.59808	−	1.23205i	0.184070	−	0.0493215i
$625$	24.2846	+	5.93782i	0.971384	+	0.237513i
$626$	8.73205	−	15.1244i	0.349003	−	0.604491i
$627$	21.1244	−	12.1962i	0.843626	−	0.487067i
$628$	−14.3660	−	14.3660i	−0.573267	−	0.573267i
$629$	−21.4641	+	30.9808i	−0.855830	+	1.23528i
$630$	1.46410	−	4.39230i	0.0583312	−	0.174994i
$631$	−5.06218	−	1.35641i	−0.201522	−	0.0539977i	0.156646	−	0.987655i	$-0.449932\pi$
$631$	−5.06218	−	1.35641i	−0.201522	−	0.0539977i	−0.358168	+	0.933657i	$0.616599\pi$
$632$	1.83013	+	6.83013i	0.0727985	+	0.271688i
$633$	7.46410	−	2.00000i	0.296671	−	0.0794929i
$634$	−7.18653	−	26.8205i	−0.285414	−	1.06518i
$635$	19.3923	+	6.46410i	0.769560	+	0.256520i
$636$	−4.86603	+	8.42820i	−0.192950	+	0.334200i
$637$			2.46410i			0.0976313i
$638$	12.9282	+	3.46410i	0.511832	+	0.137145i
$639$		−	2.14359i		−	0.0847992i
$640$	2.00000	−	1.00000i	0.0790569	−	0.0395285i
$641$	−21.9904	−	38.0885i	−0.868568	−	1.50440i	−0.863460	−	0.504417i	$-0.831708\pi$
$641$	−21.9904	−	38.0885i	−0.868568	−	1.50440i	−0.00510745	−	0.999987i	$-0.501626\pi$
$642$	23.2583	+	13.4282i	0.917933	+	0.529969i
$643$			3.73205i			0.147178i	0.997289	+	0.0735889i	$0.0234453\pi$
$643$			3.73205i			0.147178i	−0.997289	+	0.0735889i	$0.976555\pi$
$644$	−4.39230	+	16.3923i	−0.173081	+	0.645947i
$645$	−9.52628	−	46.5526i	−0.375097	−	1.83301i
$646$	10.1244	−	37.7846i	0.398337	−	1.48662i
$647$	−19.2224	+	33.2942i	−0.755712	+	1.30893i	0.189308	+	0.981918i	$0.439376\pi$
$647$	−19.2224	+	33.2942i	−0.755712	+	1.30893i	−0.945020	+	0.327013i	$0.893958\pi$
$648$	−5.33013	+	9.23205i	−0.209387	+	0.362669i
$649$	1.66025	−	6.19615i	0.0651707	−	0.243220i
$650$	−12.2321	−	1.47372i	−0.479781	−	0.0578041i
$651$	13.6603	−	50.9808i	0.535388	−	1.99809i
$652$			3.53590i			0.138476i
$653$	−13.2058	−	7.62436i	−0.516782	−	0.298364i	0.218835	−	0.975762i	$-0.429774\pi$
$653$	−13.2058	−	7.62436i	−0.516782	−	0.298364i	−0.735617	+	0.677398i	$0.763108\pi$
$654$	1.00000	+	1.73205i	0.0391031	+	0.0677285i
$655$	−0.535898	+	1.60770i	−0.0209393	+	0.0628178i
$656$			6.46410i			0.252381i
$657$		0			0
$658$			24.7846i			0.966205i
$659$	−20.3923	+	35.3205i	−0.794371	+	1.37589i	0.128866	+	0.991662i	$0.458866\pi$
$659$	−20.3923	+	35.3205i	−0.794371	+	1.37589i	−0.923238	+	0.384230i	$0.874467\pi$
$660$	−2.73205	+	8.19615i	−0.106345	+	0.319035i
$661$	6.41858	+	23.9545i	0.249654	+	0.931721i	0.970987	+	0.239133i	$0.0768631\pi$
$661$	6.41858	+	23.9545i	0.249654	+	0.931721i	−0.721333	+	0.692589i	$0.756470\pi$
$662$	−3.09808	+	0.830127i	−0.120410	+	0.0322638i
$663$	7.63397	+	28.4904i	0.296479	+	1.10647i
$664$	−15.5622	−	4.16987i	−0.603930	−	0.161822i
$665$	−35.7128	+	17.8564i	−1.38488	+	0.692442i
$666$	4.43782	+	0.366025i	0.171962	+	0.0141832i
$667$	−28.3923	−	28.3923i	−1.09935	−	1.09935i
$668$	−17.9545	+	10.3660i	−0.694680	+	0.401074i
$669$	−17.6603	+	30.5885i	−0.682785	+	1.18262i
$670$	8.24167	+	9.29423i	0.318403	+	0.359067i
$671$	3.46410	−	0.928203i	0.133730	−	0.0358329i
$672$			5.46410i			0.210782i
$673$	−8.16987	−	30.4904i	−0.314925	−	1.17532i	−0.924059	−	0.382250i	$-0.875149\pi$
$673$	−8.16987	−	30.4904i	−0.314925	−	1.17532i	0.609133	−	0.793068i	$-0.291517\pi$
$674$	5.53590	−	5.53590i	0.213235	−	0.213235i
$675$	17.2321	−	13.5263i	0.663262	−	0.520627i
$676$	−6.92820			−0.266469
$677$	11.3923	−	11.3923i	0.437842	−	0.437842i	−0.453443	−	0.891285i	$-0.649805\pi$
$677$	11.3923	−	11.3923i	0.437842	−	0.437842i	0.891285	+	0.453443i	$0.149805\pi$
$678$	11.1962	+	3.00000i	0.429986	+	0.115214i
$679$	−1.07180	−	4.00000i	−0.0411318	−	0.153506i
$680$	6.19615	+	12.3923i	0.237612	+	0.475223i
$681$	−4.96410	−	1.33013i	−0.190225	−	0.0509706i
$682$	−5.00000	+	18.6603i	−0.191460	+	0.714538i
$683$	−6.69615	−	11.5981i	−0.256221	−	0.443788i	0.709005	−	0.705203i	$-0.249144\pi$
$683$	−6.69615	−	11.5981i	−0.256221	−	0.443788i	−0.965226	+	0.261415i	$0.915811\pi$
$684$	−4.46410	+	1.19615i	−0.170689	+	0.0457360i
$685$	−4.73205	+	4.19615i	−0.180802	+	0.160327i
$686$	16.3923	+	4.39230i	0.625861	+	0.167699i
$687$	−32.9545	−	8.83013i	−1.25729	−	0.336890i
$688$	5.50000	+	9.52628i	0.209686	+	0.363186i
$689$	−8.77757	+	8.77757i	−0.334399	+	0.334399i
$690$	19.3923	−	17.1962i	0.738252	−	0.654646i
$691$	24.7583	−	14.2942i	0.941851	−	0.543778i	0.0513111	−	0.998683i	$-0.483660\pi$
$691$	24.7583	−	14.2942i	0.941851	−	0.543778i	0.890540	+	0.454905i	$0.150327\pi$
$692$	17.1962	+	17.1962i	0.653700	+	0.653700i
$693$	−2.92820	−	2.92820i	−0.111233	−	0.111233i
$694$	−9.92820	−	17.1962i	−0.376869	−	0.652757i
$695$	21.8564	−	10.9282i	0.829061	−	0.414530i
$696$	−11.1962	−	6.46410i	−0.424389	−	0.245021i
$697$	−40.0526			−1.51710
$698$	−31.0981	−	17.9545i	−1.17708	−	0.679587i
$699$	37.5167	+	21.6603i	1.41901	+	0.819266i
$700$	5.26795	−	13.1244i	0.199110	−	0.496054i
$701$	−1.50962	+	5.63397i	−0.0570175	+	0.212792i	−0.988557	−	0.150848i	$-0.951800\pi$
$701$	−1.50962	+	5.63397i	−0.0570175	+	0.212792i	0.931539	+	0.363640i	$0.118466\pi$
$702$	−7.63397	+	7.63397i	−0.288126	+	0.288126i
$703$	−24.8301	−	29.2942i	−0.936486	−	1.10485i
$704$		−	2.00000i		−	0.0753778i
$705$	20.8564	−	31.5885i	0.785498	−	1.18969i
$706$	28.3923	+	16.3923i	1.06856	+	0.616933i
$707$	−0.143594	−	0.535898i	−0.00540039	−	0.0201545i
$708$	−3.09808	+	5.36603i	−0.116433	+	0.201668i
$709$	20.0718	−	20.0718i	0.753812	−	0.753812i	−0.221376	−	0.975188i	$-0.571055\pi$
$709$	20.0718	−	20.0718i	0.753812	−	0.753812i	0.975188	+	0.221376i	$0.0710549\pi$
$710$	0.392305	−	6.53590i	0.0147229	−	0.245288i
$711$	3.66025	+	3.66025i	0.137270	+	0.137270i
$712$	0.437822	−	1.63397i	0.0164081	−	0.0612358i
$713$	40.9808	−	40.9808i	1.53474	−	1.53474i
$714$	−33.8564			−1.26704
$715$	−6.07180	+	9.19615i	−0.227072	+	0.343917i
$716$	−14.1962	+	3.80385i	−0.530535	+	0.142156i
$717$	−29.6603			−1.10768
$718$	2.93782	−	1.69615i	0.109639	−	0.0632998i
$719$	44.4282	−	25.6506i	1.65689	−	0.956607i	0.682756	−	0.730646i	$-0.260781\pi$
$719$	44.4282	−	25.6506i	1.65689	−	0.956607i	0.974136	−	0.225961i	$-0.0725521\pi$
$720$	0.901924	−	1.36603i	0.0336127	−	0.0509088i
$721$	4.53590	+	16.9282i	0.168926	+	0.630439i
$722$	18.0622	+	10.4282i	0.672205	+	0.388098i
$723$	31.2224	−	18.0263i	1.16117	−	0.670405i
$724$	6.90192	+	11.9545i	0.256508	+	0.444285i
$725$	20.6603	+	26.3205i	0.767303	+	0.977519i
$726$	−9.56218	−	9.56218i	−0.354886	−	0.354886i
$727$	−20.3205	+	35.1962i	−0.753646	+	1.30535i	0.192399	+	0.981317i	$0.438373\pi$
$727$	−20.3205	+	35.1962i	−0.753646	+	1.30535i	−0.946045	+	0.324036i	$0.894960\pi$
$728$	−1.80385	+	6.73205i	−0.0668550	+	0.249506i
$729$		−	17.5885i		−	0.651424i
$730$		0			0
$731$	−59.0263	+	34.0788i	−2.18317	+	1.26045i
$732$	−3.46410			−0.128037
$733$	−41.8827	+	11.2224i	−1.54697	+	0.414510i	−0.928511	−	0.371305i	$-0.878910\pi$
$733$	−41.8827	+	11.2224i	−1.54697	+	0.414510i	−0.618461	+	0.785815i	$0.712244\pi$
$734$	−25.4641	−	25.4641i	−0.939897	−	0.939897i
$735$	2.86603	+	3.23205i	0.105715	+	0.119216i
$736$	−3.00000	+	5.19615i	−0.110581	+	0.191533i
$737$	10.7321	−	2.87564i	0.395320	−	0.105926i
$738$	2.36603	+	4.09808i	0.0870946	+	0.150852i
$739$	−18.1962			−0.669356			−0.334678	−	0.942332i	$-0.608628\pi$
$739$	−18.1962			−0.669356			−0.334678	+	0.942332i	$0.608628\pi$
$740$	13.4641	+	1.92820i	0.494950	+	0.0708822i
$741$	−30.0526			−1.10401
$742$	−7.12436	−	12.3397i	−0.261543	−	0.453006i
$743$	−28.0263	+	7.50962i	−1.02818	+	0.275501i	−0.733209	−	0.680004i	$-0.761978\pi$
$743$	−28.0263	+	7.50962i	−1.02818	+	0.275501i	−0.294976	+	0.955505i	$0.595312\pi$
$744$	9.33013	−	16.1603i	0.342059	−	0.592464i
$745$	50.7391	+	3.04552i	1.85894	+	0.111579i
$746$	−3.75833	−	3.75833i	−0.137602	−	0.137602i
$747$	−11.3923	+	3.05256i	−0.416823	+	0.111687i
$748$	12.3923			0.453108
$749$	−34.0526	+	19.6603i	−1.24425	+	0.718370i
$750$	−17.7583	+	12.2942i	−0.648443	+	0.448922i
$751$			30.1769i			1.10117i	0.834779	+	0.550586i	$0.185596\pi$
$751$			30.1769i			1.10117i	−0.834779	+	0.550586i	$0.814404\pi$
$752$	−2.26795	+	8.46410i	−0.0827036	+	0.308654i
$753$	7.83013	−	13.5622i	0.285346	−	0.494233i
$754$	−11.6603	−	11.6603i	−0.424641	−	0.424641i
$755$	3.93782	−	5.96410i	0.143312	−	0.217056i
$756$	−6.19615	−	10.7321i	−0.225352	−	0.390321i
$757$	14.7224	−	8.50000i	0.535096	−	0.308938i	−0.207993	−	0.978130i	$-0.566693\pi$
$757$	14.7224	−	8.50000i	0.535096	−	0.308938i	0.743089	+	0.669193i	$0.233360\pi$
$758$	12.5885	+	7.26795i	0.457233	+	0.263984i
$759$	−6.00000	−	22.3923i	−0.217786	−	0.812789i
$760$	−13.8301	+	2.83013i	−0.501671	+	0.102659i
$761$	−2.53590	+	1.46410i	−0.0919262	+	0.0530736i	−0.545258	−	0.838268i	$-0.683568\pi$
$761$	−2.53590	+	1.46410i	−0.0919262	+	0.0530736i	0.453332	+	0.891342i	$0.350235\pi$
$762$	−15.2942	+	8.83013i	−0.554051	+	0.319882i
$763$	−2.92820			−0.106008
$764$	2.50000	−	0.669873i	0.0904468	−	0.0242352i
$765$	8.46410	+	5.58846i	0.306020	+	0.202051i
$766$	−15.4641			−0.558741
$767$	−5.58846	+	5.58846i	−0.201787	+	0.201787i
$768$	−0.500000	+	1.86603i	−0.0180422	+	0.0673344i
$769$	−33.9282	−	33.9282i	−1.22348	−	1.22348i	−0.966386	−	0.257097i	$-0.917234\pi$
$769$	−33.9282	−	33.9282i	−1.22348	−	1.22348i	−0.257097	−	0.966386i	$-0.582766\pi$
$770$	−8.39230	−	9.46410i	−0.302438	−	0.341063i
$771$	0.464102	−	0.464102i	0.0167142	−	0.0167142i
$772$	0.169873	−	0.294229i	0.00611386	−	0.0105895i
$773$	4.18653	+	15.6244i	0.150579	+	0.561969i	0.999443	+	0.0333582i	$0.0106202\pi$
$773$	4.18653	+	15.6244i	0.150579	+	0.561969i	−0.848864	+	0.528611i	$0.822713\pi$
$774$	6.97372	+	4.02628i	0.250665	+	0.144722i
$775$	−37.9904	+	29.8205i	−1.36465	+	1.07118i
$776$		−	1.46410i		−	0.0525582i
$777$	−18.9282	+	27.3205i	−0.679046	+	0.980118i
$778$	−2.46410	+	2.46410i	−0.0883423	+	0.0883423i
$779$	10.5622	−	39.4186i	0.378429	−	1.41232i
$780$	7.96410	−	7.06218i	0.285161	−	0.252867i
$781$	−5.07180	−	2.92820i	−0.181483	−	0.104779i
$782$	−32.1962	−	18.5885i	−1.15133	−	0.664722i
$783$	29.3205			1.04783
$784$	−0.866025	−	0.500000i	−0.0309295	−	0.0178571i
$785$	−43.0981	−	14.3660i	−1.53824	−	0.512745i
$786$	−0.732051	−	1.26795i	−0.0261114	−	0.0452262i
$787$	−6.68653	−	6.68653i	−0.238349	−	0.238349i	0.577817	−	0.816166i	$-0.303905\pi$
$787$	−6.68653	−	6.68653i	−0.238349	−	0.238349i	−0.816166	+	0.577817i	$0.803905\pi$
$788$	−5.75833	−	5.75833i	−0.205132	−	0.205132i
$789$	−0.169873	+	0.0980762i	−0.00604764	+	0.00349161i
$790$	10.4904	+	11.8301i	0.373231	+	0.420897i
$791$	−12.0000	+	12.0000i	−0.426671	+	0.426671i
$792$	−0.732051	−	1.26795i	−0.0260123	−	0.0450546i
$793$	−4.26795	−	1.14359i	−0.151559	−	0.0406102i
$794$	−3.06218	−	0.820508i	−0.108673	−	0.0291187i
$795$	−1.30385	+	21.7224i	−0.0462427	+	0.770415i
$796$	20.1603	−	5.40192i	0.714561	−	0.191466i
$797$	−10.9904	−	19.0359i	−0.389299	−	0.674286i	0.603056	−	0.797699i	$-0.293949\pi$
$797$	−10.9904	−	19.0359i	−0.389299	−	0.674286i	−0.992355	+	0.123413i	$0.960616\pi$
$798$	8.92820	−	33.3205i	0.316055	−	1.17953i
$799$	−52.4449	−	14.0526i	−1.85537	−	0.497144i
$800$	3.00000	−	4.00000i	0.106066	−	0.141421i
$801$	−0.320508	−	1.19615i	−0.0113246	−	0.0422640i
$802$	22.0263	+	5.90192i	0.777775	+	0.208404i
$803$		0			0
$804$	−10.7321			−0.378490
$805$	7.60770	+	37.1769i	0.268136	+	1.31031i
$806$	16.8301	−	16.8301i	0.592816	−	0.592816i
$807$	−3.29423	−	12.2942i	−0.115962	−	0.432777i
$808$		−	0.196152i		−	0.00690062i
$809$	35.7224	−	9.57180i	1.25593	−	0.336526i	0.431308	−	0.902205i	$-0.358052\pi$
$809$	35.7224	−	9.57180i	1.25593	−	0.336526i	0.824626	+	0.565678i	$0.191386\pi$
$810$	−1.42820	+	23.7942i	−0.0501819	+	0.836044i
$811$	3.49038	−	6.04552i	0.122564	−	0.212287i	−0.798214	−	0.602374i	$-0.794222\pi$
$811$	3.49038	−	6.04552i	0.122564	−	0.212287i	0.920778	+	0.390087i	$0.127555\pi$
$812$	16.3923	−	9.46410i	0.575257	−	0.332125i
$813$	14.2942	+	14.2942i	0.501320	+	0.501320i
$814$	6.92820	−	10.0000i	0.242833	−	0.350500i
$815$	3.53590	+	7.07180i	0.123857	+	0.247714i
$816$	−11.5622	−	3.09808i	−0.404757	−	0.108454i
$817$	−17.9737	−	67.0788i	−0.628821	−	2.34679i
$818$	−26.5263	+	7.10770i	−0.927470	+	0.248515i
$819$	1.32051	+	4.92820i	0.0461423	+	0.172205i
$820$	6.46410	+	12.9282i	0.225736	+	0.451472i
$821$	10.5622	−	18.2942i	0.368623	−	0.638473i	−0.620728	−	0.784026i	$-0.713163\pi$
$821$	10.5622	−	18.2942i	0.368623	−	0.638473i	0.989350	+	0.145553i	$0.0464962\pi$
$822$		−	5.46410i		−	0.190582i
$823$	33.4904	+	8.97372i	1.16740	+	0.312804i	0.789918	−	0.613212i	$-0.210123\pi$
$823$	33.4904	+	8.97372i	1.16740	+	0.312804i	0.377483	+	0.926016i	$0.376790\pi$
$824$			6.19615i			0.215853i
$825$	2.73205	+	19.1244i	0.0951178	+	0.665825i
$826$	−4.53590	−	7.85641i	−0.157824	−	0.273359i
$827$	12.0000	+	6.92820i	0.417281	+	0.240917i	0.693913	−	0.720059i	$-0.255885\pi$
$827$	12.0000	+	6.92820i	0.417281	+	0.240917i	−0.276632	+	0.960976i	$0.589218\pi$
$828$			4.39230i			0.152643i
$829$	−12.4186	+	46.3468i	−0.431315	+	1.60969i	0.318418	+	0.947950i	$0.396848\pi$
$829$	−12.4186	+	46.3468i	−0.431315	+	1.60969i	−0.749733	+	0.661740i	$0.769818\pi$
$830$	−35.2942	+	7.22243i	−1.22508	+	0.250694i
$831$	8.33013	−	31.0885i	0.288969	−	1.07845i
$832$	−1.23205	+	2.13397i	−0.0427137	+	0.0739823i
$833$	3.09808	−	5.36603i	0.107342	−	0.185922i
$834$	−5.46410	+	20.3923i	−0.189206	+	0.706128i
$835$	−25.5429	+	38.6865i	−0.883950	+	1.33880i
$836$	−3.26795	+	12.1962i	−0.113024	+	0.421813i
$837$			42.3205i			1.46281i
$838$	12.4186	+	7.16987i	0.428993	+	0.247679i
$839$	12.0622	+	20.8923i	0.416433	+	0.721282i	0.995578	−	0.0939421i	$-0.0299468\pi$
$839$	12.0622	+	20.8923i	0.416433	+	0.721282i	−0.579145	+	0.815225i	$0.696614\pi$
$840$	5.46410	+	10.9282i	0.188529	+	0.377059i
$841$			15.7846i			0.544297i
$842$	11.8301	+	3.16987i	0.407693	+	0.109241i
$843$			4.66025i			0.160508i
$844$	−2.00000	+	3.46410i	−0.0688428	+	0.119239i
$845$	−13.8564	+	6.92820i	−0.476675	+	0.238337i
$846$	1.66025	+	6.19615i	0.0570807	+	0.213028i
$847$	19.1244	−	5.12436i	0.657121	−	0.176075i
$848$	−1.30385	−	4.86603i	−0.0447743	−	0.167100i
$849$	24.2583	+	6.50000i	0.832544	+	0.223079i
$850$	24.7846	+	18.5885i	0.850105	+	0.637579i
$851$	−33.0000	+	15.5885i	−1.13123	+	0.534365i
$852$	4.00000	+	4.00000i	0.137038	+	0.137038i
$853$	−5.25833	+	3.03590i	−0.180042	+	0.103947i	−0.587312	−	0.809360i	$-0.699814\pi$
$853$	−5.25833	+	3.03590i	−0.180042	+	0.103947i	0.407271	+	0.913308i	$0.366481\pi$
$854$	2.53590	−	4.39230i	0.0867767	−	0.150302i
$855$	−7.73205	+	6.85641i	−0.264431	+	0.234484i
$856$	−13.4282	+	3.59808i	−0.458967	+	0.122980i
$857$		−	10.7321i		−	0.366600i	−0.983057	−	0.183300i	$-0.941322\pi$
$857$		−	10.7321i		−	0.366600i	0.983057	−	0.183300i	$-0.0586780\pi$
$858$	−2.46410	−	9.19615i	−0.0841230	−	0.313951i
$859$	−27.0000	+	27.0000i	−0.921228	+	0.921228i	−0.997116	−	0.0758882i	$-0.975821\pi$
$859$	−27.0000	+	27.0000i	−0.921228	+	0.921228i	0.0758882	+	0.997116i	$0.475821\pi$
$860$	20.5263	+	13.5526i	0.699940	+	0.462138i
$861$	−35.3205			−1.20372
$862$	−11.2224	+	11.2224i	−0.382238	+	0.382238i
$863$	−0.901924	−	0.241670i	−0.0307018	−	0.00822653i	0.243435	−	0.969917i	$-0.421726\pi$
$863$	−0.901924	−	0.241670i	−0.0307018	−	0.00822653i	−0.274137	+	0.961691i	$0.588392\pi$
$864$	−1.13397	−	4.23205i	−0.0385786	−	0.143977i
$865$	51.5885	+	17.1962i	1.75406	+	0.584687i
$866$	−4.36603	−	1.16987i	−0.148364	−	0.0397539i
$867$	10.6962	−	39.9186i	0.363260	−	1.35571i
$868$	13.6603	+	23.6603i	0.463659	+	0.803081i
$869$	13.6603	−	3.66025i	0.463392	−	0.124166i
$870$	−28.8564	−	1.73205i	−0.978324	−	0.0587220i
$871$	−13.2224	−	3.54294i	−0.448025	−	0.120048i
$872$	−1.00000	−	0.267949i	−0.0338643	−	0.00907390i
$873$	−0.535898	−	0.928203i	−0.0181374	−	0.0314149i
$874$	26.7846	−	26.7846i	0.906003	−	0.906003i
$875$	−2.58846	−	31.5167i	−0.0875058	−	1.06546i
$876$		0			0
$877$	−21.1699	−	21.1699i	−0.714856	−	0.714856i	0.252691	−	0.967547i	$-0.418684\pi$
$877$	−21.1699	−	21.1699i	−0.714856	−	0.714856i	−0.967547	+	0.252691i	$0.918684\pi$
$878$	0.633975	+	0.633975i	0.0213956	+	0.0213956i
$879$	3.13397	+	5.42820i	0.105706	+	0.183089i
$880$	−2.00000	−	4.00000i	−0.0674200	−	0.134840i
$881$	25.0526	+	14.4641i	0.844042	+	0.487308i	0.858636	−	0.512586i	$-0.171312\pi$
$881$	25.0526	+	14.4641i	0.844042	+	0.487308i	−0.0145940	+	0.999894i	$0.504646\pi$
$882$	−0.732051			−0.0246494
$883$	−11.4282	−	6.59808i	−0.384590	−	0.222043i	0.295224	−	0.955428i	$-0.404606\pi$
$883$	−11.4282	−	6.59808i	−0.384590	−	0.222043i	−0.679813	+	0.733385i	$0.737939\pi$
$884$	−13.2224	−	7.63397i	−0.444719	−	0.256758i
$885$	−0.830127	+	13.8301i	−0.0279044	+	0.464895i
$886$	−6.86603	+	25.6244i	−0.230669	+	0.860867i
$887$	6.60770	−	6.60770i	0.221865	−	0.221865i	−0.587419	−	0.809283i	$-0.699856\pi$
$887$	6.60770	−	6.60770i	0.221865	−	0.221865i	0.809283	+	0.587419i	$0.199856\pi$
$888$	−8.96410	+	7.59808i	−0.300816	+	0.254975i
$889$		−	25.8564i		−	0.867196i
$890$	−0.758330	−	3.70577i	−0.0254193	−	0.124218i
$891$	18.4641	+	10.6603i	0.618571	+	0.357132i
$892$	−4.73205	−	17.6603i	−0.158441	−	0.591309i
$893$	27.6603	−	47.9090i	0.925615	−	1.60321i
$894$	−31.0526	+	31.0526i	−1.03855	+	1.03855i
$895$	−24.5885	+	21.8038i	−0.821901	+	0.728822i
$896$	−2.00000	−	2.00000i	−0.0668153	−	0.0668153i
$897$	−7.39230	+	27.5885i	−0.246822	+	0.921152i
$898$	1.16987	−	1.16987i	0.0390392	−	0.0390392i
$899$	−64.6410			−2.15590
$900$	0.437822	−	3.63397i	0.0145941	−	0.121132i
$901$	30.1506	−	8.07884i	1.00446	−	0.269145i
$902$	12.9282			0.430462
$903$	−52.0526	+	30.0526i	−1.73220	+	1.00009i
$904$	−5.19615	+	3.00000i	−0.172821	+	0.0997785i
$905$	25.7583	+	17.0070i	0.856236	+	0.565333i
$906$	1.59808	+	5.96410i	0.0530925	+	0.198144i
$907$	32.1962	+	18.5885i	1.06906	+	0.617220i	0.927923	−	0.372771i	$-0.121592\pi$
$907$	32.1962	+	18.5885i	1.06906	+	0.617220i	0.141132	+	0.989991i	$0.454926\pi$
$908$	2.30385	−	1.33013i	0.0764559	−	0.0441418i
$909$	−0.0717968	−	0.124356i	−0.00238135	−	0.00412462i
$910$	3.12436	+	15.2679i	0.103571	+	0.506128i
$911$	8.63397	+	8.63397i	0.286056	+	0.286056i	0.835519	−	0.549462i	$-0.185167\pi$
$911$	8.63397	+	8.63397i	0.286056	+	0.286056i	−0.549462	+	0.835519i	$0.685167\pi$
$912$	6.09808	−	10.5622i	0.201927	−	0.349749i
$913$	−8.33975	+	31.1244i	−0.276005	+	1.03007i
$914$			26.7846i			0.885956i
$915$	−6.92820	+	3.46410i	−0.229039	+	0.114520i
$916$	15.2942	−	8.83013i	0.505336	−	0.291756i
$917$	2.14359			0.0707877
$918$	26.2224	−	7.02628i	0.865469	−	0.231902i
$919$	25.7846	+	25.7846i	0.850556	+	0.850556i	0.990202	−	0.139646i	$-0.0445964\pi$
$919$	25.7846	+	25.7846i	0.850556	+	0.850556i	−0.139646	+	0.990202i	$0.544596\pi$
$920$	−0.803848	+	13.3923i	−0.0265021	+	0.441531i
$921$	−21.0622	+	36.4808i	−0.694022	+	1.20208i
$922$	16.9282	−	4.53590i	0.557501	−	0.149382i
$923$	3.60770	+	6.24871i	0.118749	+	0.205679i
$924$	10.9282			0.359511
$925$	28.8564	−	9.60770i	0.948793	−	0.315899i
$926$	8.33975			0.274061
$927$	2.26795	+	3.92820i	0.0744892	+	0.129019i
$928$	6.46410	−	1.73205i	0.212195	−	0.0568574i
$929$	−0.330127	+	0.571797i	−0.0108311	+	0.0187600i	−0.871390	−	0.490591i	$-0.836781\pi$
$929$	−0.330127	+	0.571797i	−0.0108311	+	0.0187600i	0.860559	+	0.509351i	$0.170114\pi$
$930$	2.50000	−	41.6506i	0.0819782	−	1.36578i
$931$	4.46410	+	4.46410i	0.146305	+	0.146305i
$932$	−21.6603	+	5.80385i	−0.709505	+	0.190111i
$933$	30.5167			0.999071
$934$	25.9186	−	14.9641i	0.848082	−	0.489640i
$935$	24.7846	−	12.3923i	0.810543	−	0.405272i
$936$			1.80385i			0.0589606i
$937$	9.70577	−	36.2224i	0.317074	−	1.18334i	−0.604970	−	0.796249i	$-0.706815\pi$
$937$	9.70577	−	36.2224i	0.317074	−	1.18334i	0.922043	−	0.387087i	$-0.126519\pi$
$938$	7.85641	−	13.6077i	0.256521	−	0.444307i
$939$	23.8564	+	23.8564i	0.778524	+	0.778524i
$940$	3.92820	+	19.1962i	0.128124	+	0.626109i
$941$	−16.5885	−	28.7321i	−0.540768	−	0.936638i	−0.998860	−	0.0477332i	$-0.984800\pi$
$941$	−16.5885	−	28.7321i	−0.540768	−	0.936638i	0.458092	−	0.888905i	$-0.348533\pi$
$942$	33.9904	−	19.6244i	1.10747	−	0.639396i
$943$	−33.5885	−	19.3923i	−1.09379	−	0.631500i
$944$	−0.830127	−	3.09808i	−0.0270183	−	0.100834i
$945$	−23.1244	−	15.2679i	−0.752235	−	0.496666i
$946$	19.0526	−	11.0000i	0.619452	−	0.357641i
$947$	−39.4352	+	22.7679i	−1.28147	+	0.739859i	−0.977118	−	0.212700i	$-0.931774\pi$
$947$	−39.4352	+	22.7679i	−1.28147	+	0.739859i	−0.304356	+	0.952558i	$0.598441\pi$
$948$	−13.6603			−0.443664
$949$		0			0
$950$	−24.8301	+	19.4904i	−0.805596	+	0.632351i
$951$	53.6410			1.73943
$952$	12.3923	−	12.3923i	0.401637	−	0.401637i
$953$	12.8756	−	48.0526i	0.417083	−	1.55658i	−0.363543	−	0.931577i	$-0.618433\pi$
$953$	12.8756	−	48.0526i	0.417083	−	1.55658i	0.780626	−	0.624998i	$-0.214900\pi$
$954$	−2.60770	−	2.60770i	−0.0844272	−	0.0844272i
$955$	4.33013	−	3.83975i	0.140120	−	0.124251i
$956$	10.8564	−	10.8564i	0.351121	−	0.351121i
$957$	−12.9282	+	22.3923i	−0.417909	+	0.723840i
$958$	−1.06218	−	3.96410i	−0.0343174	−	0.128074i
$959$	6.92820	+	4.00000i	0.223723	+	0.129167i
$960$	0.866025	+	4.23205i	0.0279508	+	0.136589i
$961$		−	62.3013i		−	2.00972i
$962$	−13.5526	+	6.40192i	−0.436952	+	0.206406i
$963$	−7.19615	+	7.19615i	−0.231893	+	0.231893i
$964$	−4.83013	+	18.0263i	−0.155568	+	0.580587i
$965$	0.0455173	−	0.758330i	0.00146525	−	0.0244115i
$966$	−28.3923	−	16.3923i	−0.913507	−	0.527414i
$967$	−32.9545	−	19.0263i	−1.05974	−	0.611844i	−0.134383	−	0.990929i	$-0.542905\pi$
$967$	−32.9545	−	19.0263i	−1.05974	−	0.611844i	−0.925362	+	0.379086i	$0.876239\pi$
$968$	7.00000			0.224989
$969$	65.4449	+	37.7846i	2.10239	+	1.21382i
$970$	−1.46410	−	2.92820i	−0.0470095	−	0.0940189i
$971$	12.4904	+	21.6340i	0.400835	+	0.694267i	0.993827	−	0.110941i	$-0.0353866\pi$
$971$	12.4904	+	21.6340i	0.400835	+	0.694267i	−0.592992	+	0.805209i	$0.702053\pi$
$972$	−5.26795	−	5.26795i	−0.168970	−	0.168970i
$973$	−21.8564	−	21.8564i	−0.700684	−	0.700684i
$974$	35.9090	−	20.7321i	1.15060	−	0.664298i
$975$	8.86603	−	22.0885i	0.283940	−	0.707397i
$976$	1.26795	−	1.26795i	0.0405861	−	0.0405861i
$977$	22.1506	+	38.3660i	0.708662	+	1.22744i	0.965354	+	0.260945i	$0.0840340\pi$
$977$	22.1506	+	38.3660i	0.708662	+	1.22744i	−0.256692	+	0.966493i	$0.582633\pi$
$978$	−6.59808	−	1.76795i	−0.210983	−	0.0565328i
$979$	−3.26795	−	0.875644i	−0.104444	−	0.0279857i
$980$	−2.23205	−	0.133975i	−0.0713002	−	0.00427966i
$981$	−0.732051	+	0.196152i	−0.0233726	+	0.00626266i
$982$	4.09808	+	7.09808i	0.130775	+	0.226509i
$983$	−8.07180	+	30.1244i	−0.257450	+	0.960818i	0.709261	+	0.704946i	$0.249029\pi$
$983$	−8.07180	+	30.1244i	−0.257450	+	0.960818i	−0.966711	+	0.255871i	$0.917638\pi$
$984$	−12.0622	−	3.23205i	−0.384528	−	0.103034i
$985$	−17.2750	−	5.75833i	−0.550427	−	0.183476i
$986$	10.7321	+	40.0526i	0.341778	+	1.27553i
$987$	−46.2487	−	12.3923i	−1.47211	−	0.394451i
$988$	11.0000	−	11.0000i	0.349957	−	0.349957i
$989$	−66.0000			−2.09868
$990$	−2.73205	−	1.80385i	−0.0868303	−	0.0573300i
$991$	13.0981	−	13.0981i	0.416074	−	0.416074i	−0.467774	−	0.883848i	$-0.654944\pi$
$991$	13.0981	−	13.0981i	0.416074	−	0.416074i	0.883848	+	0.467774i	$0.154944\pi$
$992$	2.50000	+	9.33013i	0.0793751	+	0.296232i
$993$		−	6.19615i		−	0.196629i
$994$	−8.00000	+	2.14359i	−0.253745	+	0.0679907i
$995$	34.9186	−	30.9641i	1.10699	−	0.981628i
$996$	15.5622	−	26.9545i	0.493106	−	0.854085i
$997$	26.1340	−	15.0885i	0.827671	−	0.477856i	−0.0253834	−	0.999678i	$-0.508081\pi$
$997$	26.1340	−	15.0885i	0.827671	−	0.477856i	0.853055	+	0.521822i	$0.174747\pi$
$998$	−11.1244	−	11.1244i	−0.352135	−	0.352135i
$999$	8.99038	−	25.0885i	0.284443	−	0.793764i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.a.267.1	✓	4
5.3	odd	4		370.2.r.a.193.1	yes	4
37.14	odd	12		370.2.r.a.347.1	yes	4
185.88	even	12	inner	370.2.q.a.273.1	yes	4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.a.267.1	✓	4	1.1	even	1	trivial
370.2.q.a.273.1	yes	4	185.88	even	12	inner
370.2.r.a.193.1	yes	4	5.3	odd	4
370.2.r.a.347.1	yes	4	37.14	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.866025i) q^{2} +(1.86603 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.133975 + 2.23205i) q^{5} +(-1.36603 - 1.36603i) q^{6} +(2.73205 - 0.732051i) q^{7} +1.00000 q^{8} +(0.633975 - 0.366025i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.866025i) q^{2} +(1.86603 - 0.500000i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.133975 + 2.23205i) q^{5} +(-1.36603 - 1.36603i) q^{6} +(2.73205 - 0.732051i) q^{7} +1.00000 q^{8} +(0.633975 - 0.366025i) q^{9} +(2.00000 - 1.00000i) q^{10} -2.00000i q^{11} +(-0.500000 + 1.86603i) q^{12} +(-1.23205 + 2.13397i) q^{13} +(-2.00000 - 2.00000i) q^{14} +(0.866025 + 4.23205i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(5.36603 - 3.09808i) q^{17} +(-0.633975 - 0.366025i) q^{18} +(1.63397 + 6.09808i) q^{19} +(-1.86603 - 1.23205i) q^{20} +(4.73205 - 2.73205i) q^{21} +(-1.73205 + 1.00000i) q^{22} +6.00000 q^{23} +(1.86603 - 0.500000i) q^{24} +(-4.96410 - 0.598076i) q^{25} +2.46410 q^{26} +(-3.09808 + 3.09808i) q^{27} +(-0.732051 + 2.73205i) q^{28} +(-4.73205 - 4.73205i) q^{29} +(3.23205 - 2.86603i) q^{30} +(6.83013 - 6.83013i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-1.00000 - 3.73205i) q^{33} +(-5.36603 - 3.09808i) q^{34} +(1.26795 + 6.19615i) q^{35} +0.732051i q^{36} +(-5.50000 + 2.59808i) q^{37} +(4.46410 - 4.46410i) q^{38} +(-1.23205 + 4.59808i) q^{39} +(-0.133975 + 2.23205i) q^{40} +(-5.59808 - 3.23205i) q^{41} +(-4.73205 - 2.73205i) q^{42} -11.0000 q^{43} +(1.73205 + 1.00000i) q^{44} +(0.732051 + 1.46410i) q^{45} +(-3.00000 - 5.19615i) q^{46} +(-6.19615 - 6.19615i) q^{47} +(-1.36603 - 1.36603i) q^{48} +(0.866025 - 0.500000i) q^{49} +(1.96410 + 4.59808i) q^{50} +(8.46410 - 8.46410i) q^{51} +(-1.23205 - 2.13397i) q^{52} +(4.86603 + 1.30385i) q^{53} +(4.23205 + 1.13397i) q^{54} +(4.46410 + 0.267949i) q^{55} +(2.73205 - 0.732051i) q^{56} +(6.09808 + 10.5622i) q^{57} +(-1.73205 + 6.46410i) q^{58} +(3.09808 + 0.830127i) q^{59} +(-4.09808 - 1.36603i) q^{60} +(0.464102 + 1.73205i) q^{61} +(-9.33013 - 2.50000i) q^{62} +(1.46410 - 1.46410i) q^{63} +1.00000 q^{64} +(-4.59808 - 3.03590i) q^{65} +(-2.73205 + 2.73205i) q^{66} +(1.43782 + 5.36603i) q^{67} +6.19615i q^{68} +(11.1962 - 3.00000i) q^{69} +(4.73205 - 4.19615i) q^{70} +(1.46410 - 2.53590i) q^{71} +(0.633975 - 0.366025i) q^{72} +(5.00000 + 3.46410i) q^{74} +(-9.56218 + 1.36603i) q^{75} +(-6.09808 - 1.63397i) q^{76} +(-1.46410 - 5.46410i) q^{77} +(4.59808 - 1.23205i) q^{78} +(1.83013 + 6.83013i) q^{79} +(2.00000 - 1.00000i) q^{80} +(-5.33013 + 9.23205i) q^{81} +6.46410i q^{82} +(-15.5622 - 4.16987i) q^{83} +5.46410i q^{84} +(6.19615 + 12.3923i) q^{85} +(5.50000 + 9.52628i) q^{86} +(-11.1962 - 6.46410i) q^{87} -2.00000i q^{88} +(0.437822 - 1.63397i) q^{89} +(0.901924 - 1.36603i) q^{90} +(-1.80385 + 6.73205i) q^{91} +(-3.00000 + 5.19615i) q^{92} +(9.33013 - 16.1603i) q^{93} +(-2.26795 + 8.46410i) q^{94} +(-13.8301 + 2.83013i) q^{95} +(-0.500000 + 1.86603i) q^{96} -1.46410i q^{97} +(-0.866025 - 0.500000i) q^{98} +(-0.732051 - 1.26795i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 4 q^{5} - 2 q^{6} + 4 q^{7} + 4 q^{8} + 6 q^{9}+O(q^{10}) \) 4 * q - 2 * q^2 + 4 * q^3 - 2 * q^4 - 4 * q^5 - 2 * q^6 + 4 * q^7 + 4 * q^8 + 6 * q^9	\( 4 q - 2 q^{2} + 4 q^{3} - 2 q^{4} - 4 q^{5} - 2 q^{6} + 4 q^{7} + 4 q^{8} + 6 q^{9} + 8 q^{10} - 2 q^{12} + 2 q^{13} - 8 q^{14} - 2 q^{16} + 18 q^{17} - 6 q^{18} + 10 q^{19} - 4 q^{20} + 12 q^{21} + 24 q^{23} + 4 q^{24} - 6 q^{25} - 4 q^{26} - 2 q^{27} + 4 q^{28} - 12 q^{29} + 6 q^{30} + 10 q^{31} - 2 q^{32} - 4 q^{33} - 18 q^{34} + 12 q^{35} - 22 q^{37} + 4 q^{38} + 2 q^{39} - 4 q^{40} - 12 q^{41} - 12 q^{42} - 44 q^{43} - 4 q^{45} - 12 q^{46} - 4 q^{47} - 2 q^{48} - 6 q^{50} + 20 q^{51} + 2 q^{52} + 16 q^{53} + 10 q^{54} + 4 q^{55} + 4 q^{56} + 14 q^{57} + 2 q^{59} - 6 q^{60} - 12 q^{61} - 20 q^{62} - 8 q^{63} + 4 q^{64} - 8 q^{65} - 4 q^{66} + 30 q^{67} + 24 q^{69} + 12 q^{70} - 8 q^{71} + 6 q^{72} + 20 q^{74} - 14 q^{75} - 14 q^{76} + 8 q^{77} + 8 q^{78} - 10 q^{79} + 8 q^{80} - 4 q^{81} - 38 q^{83} + 4 q^{85} + 22 q^{86} - 24 q^{87} + 26 q^{89} + 14 q^{90} - 28 q^{91} - 12 q^{92} + 20 q^{93} - 16 q^{94} - 38 q^{95} - 2 q^{96} + 4 q^{99}+O(q^{100}) \) 4 * q - 2 * q^2 + 4 * q^3 - 2 * q^4 - 4 * q^5 - 2 * q^6 + 4 * q^7 + 4 * q^8 + 6 * q^9 + 8 * q^10 - 2 * q^12 + 2 * q^13 - 8 * q^14 - 2 * q^16 + 18 * q^17 - 6 * q^18 + 10 * q^19 - 4 * q^20 + 12 * q^21 + 24 * q^23 + 4 * q^24 - 6 * q^25 - 4 * q^26 - 2 * q^27 + 4 * q^28 - 12 * q^29 + 6 * q^30 + 10 * q^31 - 2 * q^32 - 4 * q^33 - 18 * q^34 + 12 * q^35 - 22 * q^37 + 4 * q^38 + 2 * q^39 - 4 * q^40 - 12 * q^41 - 12 * q^42 - 44 * q^43 - 4 * q^45 - 12 * q^46 - 4 * q^47 - 2 * q^48 - 6 * q^50 + 20 * q^51 + 2 * q^52 + 16 * q^53 + 10 * q^54 + 4 * q^55 + 4 * q^56 + 14 * q^57 + 2 * q^59 - 6 * q^60 - 12 * q^61 - 20 * q^62 - 8 * q^63 + 4 * q^64 - 8 * q^65 - 4 * q^66 + 30 * q^67 + 24 * q^69 + 12 * q^70 - 8 * q^71 + 6 * q^72 + 20 * q^74 - 14 * q^75 - 14 * q^76 + 8 * q^77 + 8 * q^78 - 10 * q^79 + 8 * q^80 - 4 * q^81 - 38 * q^83 + 4 * q^85 + 22 * q^86 - 24 * q^87 + 26 * q^89 + 14 * q^90 - 28 * q^91 - 12 * q^92 + 20 * q^93 - 16 * q^94 - 38 * q^95 - 2 * q^96 + 4 * q^99

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