LMFDB - Embedded newform 280.2.bv.c.213.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (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:	$2.23581125660$
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			213.1
Root			$-0.866025 - 0.500000i$ of defining polynomial
Character	$\chi$	$=$	280.213
Dual form			280.2.bv.c.117.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.36603 - 0.366025i) q^{2} +(-1.86603 + 0.500000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(0.133975 + 2.23205i) q^{5} +(-2.36603 + 1.36603i) q^{6} +(0.866025 + 2.50000i) q^{7} +(2.00000 - 2.00000i) q^{8} +(0.633975 - 0.366025i) q^{9} +O(q^{10})$	\(q+(1.36603 - 0.366025i) q^{2} +(-1.86603 + 0.500000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(0.133975 + 2.23205i) q^{5} +(-2.36603 + 1.36603i) q^{6} +(0.866025 + 2.50000i) q^{7} +(2.00000 - 2.00000i) q^{8} +(0.633975 - 0.366025i) q^{9} +(1.00000 + 3.00000i) q^{10} +(-0.633975 - 0.366025i) q^{11} +(-2.73205 + 2.73205i) q^{12} +(3.00000 + 3.00000i) q^{13} +(2.09808 + 3.09808i) q^{14} +(-1.36603 - 4.09808i) q^{15} +(2.00000 - 3.46410i) q^{16} +(4.09808 - 1.09808i) q^{17} +(0.732051 - 0.732051i) q^{18} +(-3.00000 + 1.73205i) q^{19} +(2.46410 + 3.73205i) q^{20} +(-2.86603 - 4.23205i) q^{21} +(-1.00000 - 0.267949i) q^{22} +(0.401924 - 1.50000i) q^{23} +(-2.73205 + 4.73205i) q^{24} +(-4.96410 + 0.598076i) q^{25} +(5.19615 + 3.00000i) q^{26} +(3.09808 - 3.09808i) q^{27} +(4.00000 + 3.46410i) q^{28} +4.46410 q^{29} +(-3.36603 - 5.09808i) q^{30} +(-8.83013 - 5.09808i) q^{31} +(1.46410 - 5.46410i) q^{32} +(1.36603 + 0.366025i) q^{33} +(5.19615 - 3.00000i) q^{34} +(-5.46410 + 2.26795i) q^{35} +(0.732051 - 1.26795i) q^{36} +(1.73205 - 6.46410i) q^{37} +(-3.46410 + 3.46410i) q^{38} +(-7.09808 - 4.09808i) q^{39} +(4.73205 + 4.19615i) q^{40} +0.464102i q^{41} +(-5.46410 - 4.73205i) q^{42} +(-2.36603 + 2.36603i) q^{43} -1.46410 q^{44} +(0.901924 + 1.36603i) q^{45} -2.19615i q^{46} +(0.169873 - 0.633975i) q^{47} +(-2.00000 + 7.46410i) q^{48} +(-5.50000 + 4.33013i) q^{49} +(-6.56218 + 2.63397i) q^{50} +(-7.09808 + 4.09808i) q^{51} +(8.19615 + 2.19615i) q^{52} +(0.803848 + 3.00000i) q^{53} +(3.09808 - 5.36603i) q^{54} +(0.732051 - 1.46410i) q^{55} +(6.73205 + 3.26795i) q^{56} +(4.73205 - 4.73205i) q^{57} +(6.09808 - 1.63397i) q^{58} +(-7.73205 - 4.46410i) q^{59} +(-6.46410 - 5.73205i) q^{60} +(-4.96410 - 8.59808i) q^{61} +(-13.9282 - 3.73205i) q^{62} +(1.46410 + 1.26795i) q^{63} -8.00000i q^{64} +(-6.29423 + 7.09808i) q^{65} +2.00000 q^{66} +(3.86603 - 1.03590i) q^{67} +(6.00000 - 6.00000i) q^{68} +3.00000i q^{69} +(-6.63397 + 5.09808i) q^{70} +15.4641 q^{71} +(0.535898 - 2.00000i) q^{72} +(-2.16987 - 8.09808i) q^{73} -9.46410i q^{74} +(8.96410 - 3.59808i) q^{75} +(-3.46410 + 6.00000i) q^{76} +(0.366025 - 1.90192i) q^{77} +(-11.1962 - 3.00000i) q^{78} +(11.1962 - 6.46410i) q^{79} +(8.00000 + 4.00000i) q^{80} +(-5.33013 + 9.23205i) q^{81} +(0.169873 + 0.633975i) q^{82} +(4.56218 + 4.56218i) q^{83} +(-9.19615 - 4.46410i) q^{84} +(3.00000 + 9.00000i) q^{85} +(-2.36603 + 4.09808i) q^{86} +(-8.33013 + 2.23205i) q^{87} +(-2.00000 + 0.535898i) q^{88} +(8.59808 + 14.8923i) q^{89} +(1.73205 + 1.53590i) q^{90} +(-4.90192 + 10.0981i) q^{91} +(-0.803848 - 3.00000i) q^{92} +(19.0263 + 5.09808i) q^{93} -0.928203i q^{94} +(-4.26795 - 6.46410i) q^{95} +10.9282i q^{96} +(-6.26795 - 6.26795i) q^{97} +(-5.92820 + 7.92820i) q^{98} -0.535898 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q + 2 q^{2} - 4 q^{3} + 4 q^{5} - 6 q^{6} + 8 q^{8} + 6 q^{9}+O(q^{10}) $ 4 * q + 2 * q^2 - 4 * q^3 + 4 * q^5 - 6 * q^6 + 8 * q^8 + 6 * q^9	$ 4 q + 2 q^{2} - 4 q^{3} + 4 q^{5} - 6 q^{6} + 8 q^{8} + 6 q^{9} + 4 q^{10} - 6 q^{11} - 4 q^{12} + 12 q^{13} - 2 q^{14} - 2 q^{15} + 8 q^{16} + 6 q^{17} - 4 q^{18} - 12 q^{19} - 4 q^{20} - 8 q^{21} - 4 q^{22} + 12 q^{23} - 4 q^{24} - 6 q^{25} + 2 q^{27} + 16 q^{28} + 4 q^{29} - 10 q^{30} - 18 q^{31} - 8 q^{32} + 2 q^{33} - 8 q^{35} - 4 q^{36} - 18 q^{39} + 12 q^{40} - 8 q^{42} - 6 q^{43} + 8 q^{44} + 14 q^{45} + 18 q^{47} - 8 q^{48} - 22 q^{49} - 2 q^{50} - 18 q^{51} + 12 q^{52} + 24 q^{53} + 2 q^{54} - 4 q^{55} + 20 q^{56} + 12 q^{57} + 14 q^{58} - 24 q^{59} - 12 q^{60} - 6 q^{61} - 28 q^{62} - 8 q^{63} + 6 q^{65} + 8 q^{66} + 12 q^{67} + 24 q^{68} - 30 q^{70} + 48 q^{71} + 16 q^{72} - 26 q^{73} + 22 q^{75} - 2 q^{77} - 24 q^{78} + 24 q^{79} + 32 q^{80} - 4 q^{81} + 18 q^{82} - 6 q^{83} - 16 q^{84} + 12 q^{85} - 6 q^{86} - 16 q^{87} - 8 q^{88} + 24 q^{89} - 30 q^{91} - 24 q^{92} + 38 q^{93} - 24 q^{95} - 32 q^{97} + 4 q^{98} - 16 q^{99}+O(q^{100}) $ 4 * q + 2 * q^2 - 4 * q^3 + 4 * q^5 - 6 * q^6 + 8 * q^8 + 6 * q^9 + 4 * q^10 - 6 * q^11 - 4 * q^12 + 12 * q^13 - 2 * q^14 - 2 * q^15 + 8 * q^16 + 6 * q^17 - 4 * q^18 - 12 * q^19 - 4 * q^20 - 8 * q^21 - 4 * q^22 + 12 * q^23 - 4 * q^24 - 6 * q^25 + 2 * q^27 + 16 * q^28 + 4 * q^29 - 10 * q^30 - 18 * q^31 - 8 * q^32 + 2 * q^33 - 8 * q^35 - 4 * q^36 - 18 * q^39 + 12 * q^40 - 8 * q^42 - 6 * q^43 + 8 * q^44 + 14 * q^45 + 18 * q^47 - 8 * q^48 - 22 * q^49 - 2 * q^50 - 18 * q^51 + 12 * q^52 + 24 * q^53 + 2 * q^54 - 4 * q^55 + 20 * q^56 + 12 * q^57 + 14 * q^58 - 24 * q^59 - 12 * q^60 - 6 * q^61 - 28 * q^62 - 8 * q^63 + 6 * q^65 + 8 * q^66 + 12 * q^67 + 24 * q^68 - 30 * q^70 + 48 * q^71 + 16 * q^72 - 26 * q^73 + 22 * q^75 - 2 * q^77 - 24 * q^78 + 24 * q^79 + 32 * q^80 - 4 * q^81 + 18 * q^82 - 6 * q^83 - 16 * q^84 + 12 * q^85 - 6 * q^86 - 16 * q^87 - 8 * q^88 + 24 * q^89 - 30 * q^91 - 24 * q^92 + 38 * q^93 - 24 * q^95 - 32 * q^97 + 4 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.36603	−	0.366025i	0.965926	−	0.258819i
$2$	1.36603	−	0.366025i	0.965926	−	0.258819i
$3$	−1.86603	+	0.500000i	−1.07735	+	0.288675i	−0.753510	−	0.657437i	$-0.771641\pi$
$3$	−1.86603	+	0.500000i	−1.07735	+	0.288675i	−0.323840	+	0.946112i	$0.604974\pi$
$4$	1.73205	−	1.00000i	0.866025	−	0.500000i
$5$	0.133975	+	2.23205i	0.0599153	+	0.998203i
$5$	0.133975	+	2.23205i	0.0599153	+	0.998203i
$6$	−2.36603	+	1.36603i	−0.965926	+	0.557678i
$7$	0.866025	+	2.50000i	0.327327	+	0.944911i
$7$	0.866025	+	2.50000i	0.327327	+	0.944911i
$8$	2.00000	−	2.00000i	0.707107	−	0.707107i
$9$	0.633975	−	0.366025i	0.211325	−	0.122008i
$10$	1.00000	+	3.00000i	0.316228	+	0.948683i
$11$	−0.633975	−	0.366025i	−0.191151	−	0.110361i	0.401371	−	0.915916i	$-0.368534\pi$
$11$	−0.633975	−	0.366025i	−0.191151	−	0.110361i	−0.592521	+	0.805555i	$0.701867\pi$
$12$	−2.73205	+	2.73205i	−0.788675	+	0.788675i
$13$	3.00000	+	3.00000i	0.832050	+	0.832050i	0.987797	−	0.155747i	$-0.0497784\pi$
$13$	3.00000	+	3.00000i	0.832050	+	0.832050i	−0.155747	+	0.987797i	$0.549778\pi$
$14$	2.09808	+	3.09808i	0.560734	+	0.827996i
$15$	−1.36603	−	4.09808i	−0.352706	−	1.05812i
$16$	2.00000	−	3.46410i	0.500000	−	0.866025i
$17$	4.09808	−	1.09808i	0.993929	−	0.266323i	0.275029	−	0.961436i	$-0.411312\pi$
$17$	4.09808	−	1.09808i	0.993929	−	0.266323i	0.718900	+	0.695113i	$0.244646\pi$
$18$	0.732051	−	0.732051i	0.172546	−	0.172546i
$19$	−3.00000	+	1.73205i	−0.688247	+	0.397360i	−0.802955	−	0.596040i	$-0.796740\pi$
$19$	−3.00000	+	1.73205i	−0.688247	+	0.397360i	0.114708	+	0.993399i	$0.463407\pi$
$20$	2.46410	+	3.73205i	0.550990	+	0.834512i
$21$	−2.86603	−	4.23205i	−0.625418	−	0.923509i
$22$	−1.00000	−	0.267949i	−0.213201	−	0.0571270i
$23$	0.401924	−	1.50000i	0.0838069	−	0.312772i	−0.911279	−	0.411790i	$-0.864904\pi$
$23$	0.401924	−	1.50000i	0.0838069	−	0.312772i	0.995086	+	0.0990186i	$0.0315703\pi$
$24$	−2.73205	+	4.73205i	−0.557678	+	0.965926i
$25$	−4.96410	+	0.598076i	−0.992820	+	0.119615i
$26$	5.19615	+	3.00000i	1.01905	+	0.588348i
$27$	3.09808	−	3.09808i	0.596225	−	0.596225i
$28$	4.00000	+	3.46410i	0.755929	+	0.654654i
$29$	4.46410			0.828963			0.414481	−	0.910058i	$-0.363963\pi$
$29$	4.46410			0.828963			0.414481	+	0.910058i	$0.363963\pi$
$30$	−3.36603	−	5.09808i	−0.614549	−	0.930777i
$31$	−8.83013	−	5.09808i	−1.58594	−	0.915642i	−0.993967	−	0.109682i	$-0.965017\pi$
$31$	−8.83013	−	5.09808i	−1.58594	−	0.915642i	−0.591971	−	0.805959i	$-0.701650\pi$
$32$	1.46410	−	5.46410i	0.258819	−	0.965926i
$33$	1.36603	+	0.366025i	0.237795	+	0.0637168i
$34$	5.19615	−	3.00000i	0.891133	−	0.514496i
$35$	−5.46410	+	2.26795i	−0.923602	+	0.383353i
$36$	0.732051	−	1.26795i	0.122008	−	0.211325i
$37$	1.73205	−	6.46410i	0.284747	−	1.06269i	−0.664276	−	0.747487i	$-0.731260\pi$
$37$	1.73205	−	6.46410i	0.284747	−	1.06269i	0.949024	−	0.315205i	$-0.102073\pi$
$38$	−3.46410	+	3.46410i	−0.561951	+	0.561951i
$39$	−7.09808	−	4.09808i	−1.13660	−	0.656217i
$40$	4.73205	+	4.19615i	0.748203	+	0.663470i
$41$			0.464102i			0.0724805i	0.999343	+	0.0362402i	$0.0115382\pi$
$41$			0.464102i			0.0724805i	−0.999343	+	0.0362402i	$0.988462\pi$
$42$	−5.46410	−	4.73205i	−0.843129	−	0.730171i
$43$	−2.36603	+	2.36603i	−0.360815	+	0.360815i	−0.864113	−	0.503298i	$-0.832120\pi$
$43$	−2.36603	+	2.36603i	−0.360815	+	0.360815i	0.503298	+	0.864113i	$0.332120\pi$
$44$	−1.46410			−0.220722
$45$	0.901924	+	1.36603i	0.134451	+	0.203635i
$46$		−	2.19615i		−	0.323805i
$47$	0.169873	−	0.633975i	0.0247785	−	0.0924747i	−0.952429	−	0.304760i	$-0.901424\pi$
$47$	0.169873	−	0.633975i	0.0247785	−	0.0924747i	0.977208	+	0.212285i	$0.0680905\pi$
$48$	−2.00000	+	7.46410i	−0.288675	+	1.07735i
$49$	−5.50000	+	4.33013i	−0.785714	+	0.618590i
$50$	−6.56218	+	2.63397i	−0.928032	+	0.372500i
$51$	−7.09808	+	4.09808i	−0.993929	+	0.573845i
$52$	8.19615	+	2.19615i	1.13660	+	0.304552i
$53$	0.803848	+	3.00000i	0.110417	+	0.412082i	0.998903	−	0.0468214i	$-0.0149092\pi$
$53$	0.803848	+	3.00000i	0.110417	+	0.412082i	−0.888486	+	0.458903i	$0.848243\pi$
$54$	3.09808	−	5.36603i	0.421595	−	0.730224i
$55$	0.732051	−	1.46410i	0.0987097	−	0.197419i
$56$	6.73205	+	3.26795i	0.899608	+	0.436698i
$57$	4.73205	−	4.73205i	0.626775	−	0.626775i
$58$	6.09808	−	1.63397i	0.800717	−	0.214551i
$59$	−7.73205	−	4.46410i	−1.00663	−	0.581177i	−0.0964249	−	0.995340i	$-0.530741\pi$
$59$	−7.73205	−	4.46410i	−1.00663	−	0.581177i	−0.910202	+	0.414164i	$0.864074\pi$
$60$	−6.46410	−	5.73205i	−0.834512	−	0.740005i
$61$	−4.96410	−	8.59808i	−0.635588	−	1.10087i	−0.986390	−	0.164421i	$-0.947424\pi$
$61$	−4.96410	−	8.59808i	−0.635588	−	1.10087i	0.350802	−	0.936450i	$-0.385909\pi$
$62$	−13.9282	−	3.73205i	−1.76888	−	0.473971i
$63$	1.46410	+	1.26795i	0.184459	+	0.159747i
$64$		−	8.00000i		−	1.00000i
$65$	−6.29423	+	7.09808i	−0.780703	+	0.880408i
$66$	2.00000			0.246183
$67$	3.86603	−	1.03590i	0.472310	−	0.126555i	−0.0148095	−	0.999890i	$-0.504714\pi$
$67$	3.86603	−	1.03590i	0.472310	−	0.126555i	0.487120	+	0.873335i	$0.338048\pi$
$68$	6.00000	−	6.00000i	0.727607	−	0.727607i
$69$			3.00000i			0.361158i
$70$	−6.63397	+	5.09808i	−0.792912	+	0.609337i
$71$	15.4641			1.83525			0.917626	−	0.397446i	$-0.130103\pi$
$71$	15.4641			1.83525			0.917626	+	0.397446i	$0.130103\pi$
$72$	0.535898	−	2.00000i	0.0631562	−	0.235702i
$73$	−2.16987	−	8.09808i	−0.253964	−	0.947808i	−0.968664	−	0.248376i	$-0.920103\pi$
$73$	−2.16987	−	8.09808i	−0.253964	−	0.947808i	0.714699	−	0.699432i	$-0.246564\pi$
$74$		−	9.46410i		−	1.10018i
$75$	8.96410	−	3.59808i	1.03509	−	0.415470i
$76$	−3.46410	+	6.00000i	−0.397360	+	0.688247i
$77$	0.366025	−	1.90192i	0.0417125	−	0.216744i
$78$	−11.1962	−	3.00000i	−1.26771	−	0.339683i
$79$	11.1962	−	6.46410i	1.25967	−	0.727268i	0.286656	−	0.958034i	$-0.407456\pi$
$79$	11.1962	−	6.46410i	1.25967	−	0.727268i	0.973009	+	0.230765i	$0.0741230\pi$
$80$	8.00000	+	4.00000i	0.894427	+	0.447214i
$81$	−5.33013	+	9.23205i	−0.592236	+	1.02578i
$82$	0.169873	+	0.633975i	0.0187593	+	0.0700108i
$83$	4.56218	+	4.56218i	0.500764	+	0.500764i	0.911675	−	0.410911i	$-0.134789\pi$
$83$	4.56218	+	4.56218i	0.500764	+	0.500764i	−0.410911	+	0.911675i	$0.634789\pi$
$84$	−9.19615	−	4.46410i	−1.00338	−	0.487073i
$85$	3.00000	+	9.00000i	0.325396	+	0.976187i
$86$	−2.36603	+	4.09808i	−0.255135	+	0.441907i
$87$	−8.33013	+	2.23205i	−0.893083	+	0.239301i
$88$	−2.00000	+	0.535898i	−0.213201	+	0.0571270i
$89$	8.59808	+	14.8923i	0.911394	+	1.57858i	0.812096	+	0.583523i	$0.198326\pi$
$89$	8.59808	+	14.8923i	0.911394	+	1.57858i	0.0992979	+	0.995058i	$0.468340\pi$
$90$	1.73205	+	1.53590i	0.182574	+	0.161898i
$91$	−4.90192	+	10.0981i	−0.513861	+	1.05857i
$92$	−0.803848	−	3.00000i	−0.0838069	−	0.312772i
$93$	19.0263	+	5.09808i	1.97293	+	0.528646i
$94$		−	0.928203i		−	0.0957369i
$95$	−4.26795	−	6.46410i	−0.437882	−	0.663203i
$96$			10.9282i			1.11536i
$97$	−6.26795	−	6.26795i	−0.636414	−	0.636414i	0.313255	−	0.949669i	$-0.398580\pi$
$97$	−6.26795	−	6.26795i	−0.636414	−	0.636414i	−0.949669	+	0.313255i	$0.898580\pi$
$98$	−5.92820	+	7.92820i	−0.598839	+	0.800869i
$99$	−0.535898			−0.0538598
$100$	−8.00000	+	6.00000i	−0.800000	+	0.600000i
$101$	5.06218	−	8.76795i	0.503706	−	0.872444i	−0.496285	−	0.868159i	$-0.665303\pi$
$101$	5.06218	−	8.76795i	0.503706	−	0.872444i	0.999991	−	0.00428406i	$-0.00136366\pi$
$102$	−8.19615	+	8.19615i	−0.811540	+	0.811540i
$103$	12.4282	+	3.33013i	1.22459	+	0.328127i	0.812470	−	0.583003i	$-0.198123\pi$
$103$	12.4282	+	3.33013i	1.22459	+	0.328127i	0.412118	+	0.911131i	$0.364789\pi$
$104$	12.0000			1.17670
$105$	9.06218	−	6.96410i	0.884378	−	0.679627i
$106$	2.19615	+	3.80385i	0.213309	+	0.369462i
$107$	−1.42820	+	5.33013i	−0.138070	+	0.515283i	0.861897	+	0.507084i	$0.169277\pi$
$107$	−1.42820	+	5.33013i	−0.138070	+	0.515283i	−0.999966	+	0.00819905i	$0.997390\pi$
$108$	2.26795	−	8.46410i	0.218234	−	0.814459i
$109$	−2.13397	+	3.69615i	−0.204398	+	0.354027i	−0.949941	−	0.312430i	$-0.898857\pi$
$109$	−2.13397	+	3.69615i	−0.204398	+	0.354027i	0.745543	+	0.666458i	$0.232190\pi$
$110$	0.464102	−	2.26795i	0.0442504	−	0.216240i
$111$			12.9282i			1.22709i
$112$	10.3923	+	2.00000i	0.981981	+	0.188982i
$113$	2.53590	+	2.53590i	0.238557	+	0.238557i	0.816253	−	0.577695i	$-0.196048\pi$
$113$	2.53590	+	2.53590i	0.238557	+	0.238557i	−0.577695	+	0.816253i	$0.696048\pi$
$114$	4.73205	−	8.19615i	0.443197	−	0.767640i
$115$	3.40192	+	0.696152i	0.317231	+	0.0649165i
$116$	7.73205	−	4.46410i	0.717903	−	0.414481i
$117$	3.00000	+	0.803848i	0.277350	+	0.0743157i
$118$	−12.1962	−	3.26795i	−1.12275	−	0.300839i
$119$	6.29423	+	9.29423i	0.576991	+	0.852001i
$120$	−10.9282	−	5.46410i	−0.997604	−	0.498802i
$121$	−5.23205	−	9.06218i	−0.475641	−	0.823834i
$122$	−9.92820	−	9.92820i	−0.898857	−	0.898857i
$123$	−0.232051	−	0.866025i	−0.0209233	−	0.0780869i
$124$	−20.3923			−1.83128
$125$	−2.00000	−	11.0000i	−0.178885	−	0.983870i
$126$	2.46410	+	1.19615i	0.219520	+	0.106562i
$127$	−11.0000	+	11.0000i	−0.976092	+	0.976092i	−0.999721	−	0.0236286i	$-0.992478\pi$
$127$	−11.0000	+	11.0000i	−0.976092	+	0.976092i	0.0236286	+	0.999721i	$0.492478\pi$
$128$	−2.92820	−	10.9282i	−0.258819	−	0.965926i
$129$	3.23205	−	5.59808i	0.284566	−	0.492883i
$130$	−6.00000	+	12.0000i	−0.526235	+	1.05247i
$131$	−3.73205	−	6.46410i	−0.326071	−	0.564771i	0.655658	−	0.755058i	$-0.272391\pi$
$131$	−3.73205	−	6.46410i	−0.326071	−	0.564771i	−0.981728	+	0.190287i	$0.939058\pi$
$132$	2.73205	−	0.732051i	0.237795	−	0.0637168i
$133$	−6.92820	−	6.00000i	−0.600751	−	0.520266i
$134$	4.90192	−	2.83013i	0.423462	−	0.244486i
$135$	7.33013	+	6.50000i	0.630877	+	0.559431i
$136$	6.00000	−	10.3923i	0.514496	−	0.891133i
$137$	2.19615	+	8.19615i	0.187630	+	0.700245i	0.994052	+	0.108904i	$0.0347343\pi$
$137$	2.19615	+	8.19615i	0.187630	+	0.700245i	−0.806422	+	0.591340i	$0.798599\pi$
$138$	1.09808	+	4.09808i	0.0934745	+	0.348851i
$139$			1.26795i			0.107546i	0.998553	+	0.0537730i	$0.0171247\pi$
$139$			1.26795i			0.107546i	−0.998553	+	0.0537730i	$0.982875\pi$
$140$	−7.19615	+	9.39230i	−0.608186	+	0.793795i
$141$			1.26795i			0.106781i
$142$	21.1244	−	5.66025i	1.77272	−	0.474998i
$143$	−0.803848	−	3.00000i	−0.0672211	−	0.250873i
$144$		−	2.92820i		−	0.244017i
$145$	0.598076	+	9.96410i	0.0496675	+	0.827474i
$146$	−5.92820	−	10.2679i	−0.490622	−	0.849782i
$147$	8.09808	−	10.8301i	0.667918	−	0.893254i
$148$	−3.46410	−	12.9282i	−0.284747	−	1.06269i
$149$	−11.3301	−	19.6244i	−0.928200	−	1.60769i	−0.786332	−	0.617804i	$-0.788022\pi$
$149$	−11.3301	−	19.6244i	−0.928200	−	1.60769i	−0.141868	−	0.989886i	$-0.545311\pi$
$150$	10.9282	−	8.19615i	0.892284	−	0.669213i
$151$	−6.90192	+	11.9545i	−0.561671	+	0.972842i	0.435680	+	0.900101i	$0.356508\pi$
$151$	−6.90192	+	11.9545i	−0.561671	+	0.972842i	−0.997351	+	0.0727405i	$0.976826\pi$
$152$	−2.53590	+	9.46410i	−0.205689	+	0.767640i
$153$	2.19615	−	2.19615i	0.177548	−	0.177548i
$154$	−0.196152	−	2.73205i	−0.0158064	−	0.220155i
$155$	10.1962	−	20.3923i	0.818975	−	1.63795i
$156$	−16.3923			−1.31243
$157$	4.56218	+	17.0263i	0.364101	+	1.35885i	0.868635	+	0.495453i	$0.164998\pi$
$157$	4.56218	+	17.0263i	0.364101	+	1.35885i	−0.504533	+	0.863392i	$0.668335\pi$
$158$	12.9282	−	12.9282i	1.02851	−	1.02851i
$159$	−3.00000	−	5.19615i	−0.237915	−	0.412082i
$160$	12.3923	+	2.53590i	0.979698	+	0.200480i
$161$	4.09808	−	0.294229i	0.322974	−	0.0231885i
$162$	−3.90192	+	14.5622i	−0.306564	+	1.14411i
$163$	3.63397	+	0.973721i	0.284635	+	0.0762677i	0.398312	−	0.917250i	$-0.369596\pi$
$163$	3.63397	+	0.973721i	0.284635	+	0.0762677i	−0.113677	+	0.993518i	$0.536263\pi$
$164$	0.464102	+	0.803848i	0.0362402	+	0.0627700i
$165$	−0.633975	+	3.09808i	−0.0493549	+	0.241185i
$166$	7.90192	+	4.56218i	0.613308	+	0.354094i
$167$	−3.29423	−	3.29423i	−0.254915	−	0.254915i	0.568067	−	0.822982i	$-0.307691\pi$
$167$	−3.29423	−	3.29423i	−0.254915	−	0.254915i	−0.822982	+	0.568067i	$0.807691\pi$
$168$	−14.1962	−	2.73205i	−1.09526	−	0.210782i
$169$			5.00000i			0.384615i
$170$	7.39230	+	11.1962i	0.566964	+	0.858706i
$171$	−1.26795	+	2.19615i	−0.0969625	+	0.167944i
$172$	−1.73205	+	6.46410i	−0.132068	+	0.492883i
$173$	0.124356	−	0.464102i	0.00945459	−	0.0352850i	−0.961037	−	0.276418i	$-0.910852\pi$
$173$	0.124356	−	0.464102i	0.00945459	−	0.0352850i	0.970492	+	0.241133i	$0.0775191\pi$
$174$	−10.5622	+	6.09808i	−0.800717	+	0.462294i
$175$	−5.79423	−	11.8923i	−0.438003	−	0.898974i
$176$	−2.53590	+	1.46410i	−0.191151	+	0.110361i
$177$	16.6603	+	4.46410i	1.25226	+	0.335542i
$178$	17.1962	+	17.1962i	1.28891	+	1.28891i
$179$	−7.02628	+	12.1699i	−0.525169	+	0.909619i	0.474402	+	0.880309i	$0.342664\pi$
$179$	−7.02628	+	12.1699i	−0.525169	+	0.909619i	−0.999570	+	0.0293105i	$0.990669\pi$
$180$	2.92820	+	1.46410i	0.218255	+	0.109128i
$181$	−22.5167			−1.67365			−0.836825	−	0.547470i	$-0.815591\pi$
$181$	−22.5167			−1.67365			−0.836825	+	0.547470i	$0.815591\pi$
$182$	−3.00000	+	15.5885i	−0.222375	+	1.15549i
$183$	13.5622	+	13.5622i	1.00255	+	1.00255i
$184$	−2.19615	−	3.80385i	−0.161903	−	0.280423i
$185$	14.6603	+	3.00000i	1.07784	+	0.220564i
$186$	27.8564			2.04253
$187$	−3.00000	−	0.803848i	−0.219382	−	0.0587832i
$188$	−0.339746	−	1.26795i	−0.0247785	−	0.0924747i
$189$	10.4282	+	5.06218i	0.758540	+	0.368219i
$190$	−8.19615	−	7.26795i	−0.594611	−	0.527272i
$191$	−1.56218	−	2.70577i	−0.113035	−	0.195783i	0.803957	−	0.594687i	$-0.202724\pi$
$191$	−1.56218	−	2.70577i	−0.113035	−	0.195783i	−0.916993	+	0.398904i	$0.869391\pi$
$192$	4.00000	+	14.9282i	0.288675	+	1.07735i
$193$	−11.5622	+	3.09808i	−0.832264	+	0.223004i	−0.649701	−	0.760190i	$-0.725106\pi$
$193$	−11.5622	+	3.09808i	−0.832264	+	0.223004i	−0.182563	+	0.983194i	$0.558439\pi$
$194$	−10.8564	−	6.26795i	−0.779445	−	0.450013i
$195$	8.19615	−	16.3923i	0.586939	−	1.17388i
$196$	−5.19615	+	13.0000i	−0.371154	+	0.928571i
$197$	5.53590	+	5.53590i	0.394416	+	0.394416i	0.876258	−	0.481842i	$-0.160032\pi$
$197$	5.53590	+	5.53590i	0.394416	+	0.394416i	−0.481842	+	0.876258i	$0.660032\pi$
$198$	−0.732051	+	0.196152i	−0.0520246	+	0.0139399i
$199$	1.73205	−	3.00000i	0.122782	−	0.212664i	−0.798082	−	0.602549i	$-0.794152\pi$
$199$	1.73205	−	3.00000i	0.122782	−	0.212664i	0.920864	+	0.389885i	$0.127485\pi$
$200$	−8.73205	+	11.1244i	−0.617449	+	0.786611i
$201$	−6.69615	+	3.86603i	−0.472310	+	0.272688i
$202$	3.70577	−	13.8301i	0.260737	−	0.973084i
$203$	3.86603	+	11.1603i	0.271342	+	0.783296i
$204$	−8.19615	+	14.1962i	−0.573845	+	0.993929i
$205$	−1.03590	+	0.0621778i	−0.0723503	+	0.00434269i
$206$	18.1962			1.26779
$207$	−0.294229	−	1.09808i	−0.0204503	−	0.0763216i
$208$	16.3923	−	4.39230i	1.13660	−	0.304552i
$209$	2.53590			0.175412
$210$	9.83013	−	12.8301i	0.678343	−	0.885363i
$211$		−	20.5359i		−	1.41375i	−0.707339	−	0.706875i	$-0.750104\pi$
$211$		−	20.5359i		−	1.41375i	0.707339	−	0.706875i	$-0.249896\pi$
$212$	4.39230	+	4.39230i	0.301665	+	0.301665i
$213$	−28.8564	+	7.73205i	−1.97721	+	0.529791i
$214$			7.80385i			0.533460i
$215$	−5.59808	−	4.96410i	−0.381786	−	0.338549i
$216$		−	12.3923i		−	0.843190i
$217$	5.09808	−	26.4904i	0.346080	−	1.79828i
$218$	−1.56218	+	5.83013i	−0.105804	+	0.394866i
$219$	8.09808	+	14.0263i	0.547217	+	0.947808i
$220$	−0.196152	−	3.26795i	−0.0132246	−	0.220325i
$221$	15.5885	+	9.00000i	1.04859	+	0.605406i
$222$	4.73205	+	17.6603i	0.317594	+	1.18528i
$223$	−7.92820	+	7.92820i	−0.530912	+	0.530912i	−0.920844	−	0.389932i	$-0.872499\pi$
$223$	−7.92820	+	7.92820i	−0.530912	+	0.530912i	0.389932	+	0.920844i	$0.372499\pi$
$224$	14.9282	−	1.07180i	0.997433	−	0.0716124i
$225$	−2.92820	+	2.19615i	−0.195214	+	0.146410i
$226$	4.39230	+	2.53590i	0.292172	+	0.168685i
$227$	3.43782	+	12.8301i	0.228176	+	0.851565i	0.981107	+	0.193466i	$0.0619728\pi$
$227$	3.43782	+	12.8301i	0.228176	+	0.851565i	−0.752931	+	0.658100i	$0.771361\pi$
$228$	3.46410	−	12.9282i	0.229416	−	0.856191i
$229$	−13.3923	+	7.73205i	−0.884988	+	0.510948i	−0.872300	−	0.488971i	$-0.837372\pi$
$229$	−13.3923	+	7.73205i	−0.884988	+	0.510948i	−0.0126885	+	0.999919i	$0.504039\pi$
$230$	4.90192	−	0.294229i	0.323223	−	0.0194009i
$231$	0.267949	+	3.73205i	0.0176298	+	0.245551i
$232$	8.92820	−	8.92820i	0.586165	−	0.586165i
$233$	−1.90192	+	7.09808i	−0.124599	+	0.465010i	−0.999825	−	0.0187040i	$-0.994046\pi$
$233$	−1.90192	+	7.09808i	−0.124599	+	0.465010i	0.875226	+	0.483714i	$0.160713\pi$
$234$	4.39230			0.287134
$235$	1.43782	+	0.294229i	0.0937932	+	0.0191934i
$236$	−17.8564			−1.16235
$237$	−17.6603	+	17.6603i	−1.14716	+	1.14716i
$238$	12.0000	+	10.3923i	0.777844	+	0.673633i
$239$		−	4.73205i		−	0.306091i	−0.988219	−	0.153045i	$-0.951092\pi$
$239$		−	4.73205i		−	0.306091i	0.988219	−	0.153045i	$-0.0489081\pi$
$240$	−16.9282	−	3.46410i	−1.09271	−	0.223607i
$241$	−17.6603	−	10.1962i	−1.13760	−	0.656792i	−0.191763	−	0.981441i	$-0.561420\pi$
$241$	−17.6603	−	10.1962i	−1.13760	−	0.656792i	−0.945834	+	0.324649i	$0.894754\pi$
$242$	−10.4641	−	10.4641i	−0.672658	−	0.672658i
$243$	1.92820	−	7.19615i	0.123694	−	0.461633i
$244$	−17.1962	−	9.92820i	−1.10087	−	0.635588i
$245$	−10.4019	−	11.6962i	−0.664555	−	0.747240i
$246$	−0.633975	−	1.09808i	−0.0404207	−	0.0700108i
$247$	−14.1962	−	3.80385i	−0.903280	−	0.242033i
$248$	−27.8564	+	7.46410i	−1.76888	+	0.473971i
$249$	−10.7942	−	6.23205i	−0.684056	−	0.394940i
$250$	−6.75833	−	14.2942i	−0.427434	−	0.904046i
$251$	19.6603			1.24094			0.620472	−	0.784229i	$-0.286941\pi$
$251$	19.6603			1.24094			0.620472	+	0.784229i	$0.286941\pi$
$252$	3.80385	+	0.732051i	0.239620	+	0.0461149i
$253$	−0.803848	+	0.803848i	−0.0505375	+	0.0505375i
$254$	−11.0000	+	19.0526i	−0.690201	+	1.19546i
$255$	−10.0981	−	15.2942i	−0.632366	−	0.957762i
$256$	−8.00000	−	13.8564i	−0.500000	−	0.866025i
$257$	6.92820	−	25.8564i	0.432169	−	1.61288i	−0.315581	−	0.948899i	$-0.602199\pi$
$257$	6.92820	−	25.8564i	0.432169	−	1.61288i	0.747751	−	0.663980i	$-0.231134\pi$
$258$	2.36603	−	8.83013i	0.147302	−	0.549740i
$259$	17.6603	−	1.26795i	1.09735	−	0.0787865i
$260$	−3.80385	+	18.5885i	−0.235905	+	1.15281i
$261$	2.83013	−	1.63397i	0.175180	−	0.101140i
$262$	−7.46410	−	7.46410i	−0.461134	−	0.461134i
$263$	0.401924	−	0.107695i	0.0247837	−	0.00664077i	−0.246406	−	0.969167i	$-0.579250\pi$
$263$	0.401924	−	0.107695i	0.0247837	−	0.00664077i	0.271190	+	0.962526i	$0.412583\pi$
$264$	3.46410	−	2.00000i	0.213201	−	0.123091i
$265$	−6.58846	+	2.19615i	−0.404726	+	0.134909i
$266$	−11.6603	−	5.66025i	−0.714936	−	0.347052i
$267$	−23.4904	−	23.4904i	−1.43759	−	1.43759i
$268$	5.66025	−	5.66025i	0.345755	−	0.345755i
$269$	3.06218	+	1.76795i	0.186704	+	0.107794i	0.590439	−	0.807082i	$-0.298955\pi$
$269$	3.06218	+	1.76795i	0.186704	+	0.107794i	−0.403734	+	0.914876i	$0.632288\pi$
$270$	12.3923	+	6.19615i	0.754172	+	0.377086i
$271$	10.3923	−	6.00000i	0.631288	−	0.364474i	−0.149963	−	0.988692i	$-0.547915\pi$
$271$	10.3923	−	6.00000i	0.631288	−	0.364474i	0.781251	+	0.624218i	$0.214582\pi$
$272$	4.39230	−	16.3923i	0.266323	−	0.993929i
$273$	4.09808	−	21.2942i	0.248027	−	1.28879i
$274$	6.00000	+	10.3923i	0.362473	+	0.627822i
$275$	3.36603	+	1.43782i	0.202979	+	0.0867039i
$276$	3.00000	+	5.19615i	0.180579	+	0.312772i
$277$	18.7583	−	5.02628i	1.12708	−	0.302000i	0.353334	−	0.935497i	$-0.385048\pi$
$277$	18.7583	−	5.02628i	1.12708	−	0.302000i	0.773745	+	0.633497i	$0.218381\pi$
$278$	0.464102	+	1.73205i	0.0278350	+	0.103882i
$279$	−7.46410			−0.446864
$280$	−6.39230	+	15.4641i	−0.382013	+	0.924157i
$281$	−24.2487			−1.44656			−0.723278	−	0.690557i	$-0.757366\pi$
$281$	−24.2487			−1.44656			−0.723278	+	0.690557i	$0.757366\pi$
$282$	0.464102	+	1.73205i	0.0276368	+	0.103142i
$283$	−13.5622	+	3.63397i	−0.806188	+	0.216017i	−0.638299	−	0.769789i	$-0.720362\pi$
$283$	−13.5622	+	3.63397i	−0.806188	+	0.216017i	−0.167889	+	0.985806i	$0.553695\pi$
$284$	26.7846	−	15.4641i	1.58937	−	0.917626i
$285$	11.1962	+	9.92820i	0.663203	+	0.588096i
$286$	−2.19615	−	3.80385i	−0.129861	−	0.224926i
$287$	−1.16025	+	0.401924i	−0.0684876	+	0.0237248i
$288$	−1.07180	−	4.00000i	−0.0631562	−	0.235702i
$289$	0.866025	−	0.500000i	0.0509427	−	0.0294118i
$290$	4.46410	+	13.3923i	0.262141	+	0.786423i
$291$	14.8301	+	8.56218i	0.869357	+	0.501924i
$292$	−11.8564	−	11.8564i	−0.693844	−	0.693844i
$293$	−4.19615	−	4.19615i	−0.245142	−	0.245142i	0.573832	−	0.818973i	$-0.305456\pi$
$293$	−4.19615	−	4.19615i	−0.245142	−	0.245142i	−0.818973	+	0.573832i	$0.805456\pi$
$294$	7.09808	−	17.7583i	0.413968	−	1.03569i
$295$	8.92820	−	17.8564i	0.519820	−	1.03964i
$296$	−9.46410	−	16.3923i	−0.550090	−	0.952783i
$297$	−3.09808	+	0.830127i	−0.179769	+	0.0481689i
$298$	−22.6603	−	22.6603i	−1.31267	−	1.31267i
$299$	5.70577	−	3.29423i	0.329973	−	0.190510i
$300$	11.9282	−	15.1962i	0.688675	−	0.877350i
$301$	−7.96410	−	3.86603i	−0.459043	−	0.222834i
$302$	−5.05256	+	18.8564i	−0.290742	+	1.08506i
$303$	−5.06218	+	18.8923i	−0.290815	+	1.08533i
$304$			13.8564i			0.794719i
$305$	18.5263	−	12.2321i	1.06081	−	0.700405i
$306$	2.19615	−	3.80385i	0.125546	−	0.217451i
$307$	0.758330	−	0.758330i	0.0432802	−	0.0432802i	−0.685135	−	0.728416i	$-0.740257\pi$
$307$	0.758330	−	0.758330i	0.0432802	−	0.0432802i	0.728416	+	0.685135i	$0.240257\pi$
$308$	−1.26795	−	3.66025i	−0.0722481	−	0.208562i
$309$	−24.8564			−1.41403
$310$	6.46410	−	31.5885i	0.367136	−	1.79410i
$311$	21.5885	+	12.4641i	1.22417	+	0.706774i	0.965804	−	0.259273i	$-0.0834829\pi$
$311$	21.5885	+	12.4641i	1.22417	+	0.706774i	0.258365	+	0.966047i	$0.416816\pi$
$312$	−22.3923	+	6.00000i	−1.26771	+	0.339683i
$313$	−16.1244	−	4.32051i	−0.911402	−	0.244210i	−0.227496	−	0.973779i	$-0.573054\pi$
$313$	−16.1244	−	4.32051i	−0.911402	−	0.244210i	−0.683907	+	0.729570i	$0.739720\pi$
$314$	12.4641	+	21.5885i	0.703390	+	1.21831i
$315$	−2.63397	+	3.43782i	−0.148408	+	0.193699i
$316$	12.9282	−	22.3923i	0.727268	−	1.25967i
$317$	−1.16987	+	4.36603i	−0.0657066	+	0.245220i	−0.990966	−	0.134115i	$-0.957181\pi$
$317$	−1.16987	+	4.36603i	−0.0657066	+	0.245220i	0.925259	+	0.379336i	$0.123847\pi$
$318$	−6.00000	−	6.00000i	−0.336463	−	0.336463i
$319$	−2.83013	−	1.63397i	−0.158457	−	0.0914850i
$320$	17.8564	−	1.07180i	0.998203	−	0.0599153i
$321$		−	10.6603i		−	0.594997i
$322$	5.49038	−	1.90192i	0.305967	−	0.105990i
$323$	−10.3923	+	10.3923i	−0.578243	+	0.578243i
$324$			21.3205i			1.18447i
$325$	−16.6865	−	13.0981i	−0.925602	−	0.726551i
$326$	5.32051			0.294676
$327$	2.13397	−	7.96410i	0.118009	−	0.440416i
$328$	0.928203	+	0.928203i	0.0512514	+	0.0512514i
$329$	1.73205	−	0.124356i	0.0954911	−	0.00685595i
$330$	0.267949	+	4.46410i	0.0147501	+	0.245741i
$331$	−6.29423	+	3.63397i	−0.345962	+	0.199741i	−0.662905	−	0.748703i	$-0.730677\pi$
$331$	−6.29423	+	3.63397i	−0.345962	+	0.199741i	0.316943	+	0.948444i	$0.397344\pi$
$332$	12.4641	+	3.33975i	0.684056	+	0.183292i
$333$	−1.26795	−	4.73205i	−0.0694832	−	0.259315i
$334$	−5.70577	−	3.29423i	−0.312206	−	0.180252i
$335$	2.83013	+	8.49038i	0.154626	+	0.463879i
$336$	−20.3923	+	1.46410i	−1.11249	+	0.0798733i
$337$	−19.6603	+	19.6603i	−1.07096	+	1.07096i	−0.0736804	+	0.997282i	$0.523474\pi$
$337$	−19.6603	+	19.6603i	−1.07096	+	1.07096i	−0.997282	+	0.0736804i	$0.976526\pi$
$338$	1.83013	+	6.83013i	0.0995458	+	0.371510i
$339$	−6.00000	−	3.46410i	−0.325875	−	0.188144i
$340$	14.1962	+	12.5885i	0.769894	+	0.682705i
$341$	3.73205	+	6.46410i	0.202102	+	0.350051i
$342$	−0.928203	+	3.46410i	−0.0501915	+	0.187317i
$343$	−15.5885	−	10.0000i	−0.841698	−	0.539949i
$344$			9.46410i			0.510270i
$345$	−6.69615	+	0.401924i	−0.360509	+	0.0216388i
$346$		−	0.679492i		−	0.0365297i
$347$	−34.9186	+	9.35641i	−1.87453	+	0.502278i	−0.874682	+	0.484697i	$0.838930\pi$
$347$	−34.9186	+	9.35641i	−1.87453	+	0.502278i	−0.999845	+	0.0175817i	$0.994403\pi$
$348$	−12.1962	+	12.1962i	−0.653782	+	0.653782i
$349$			19.9808i			1.06955i	0.844996	+	0.534773i	$0.179603\pi$
$349$			19.9808i			1.06955i	−0.844996	+	0.534773i	$0.820397\pi$
$350$	−12.2679	−	14.1244i	−0.655749	−	0.754979i
$351$	18.5885			0.992178
$352$	−2.92820	+	2.92820i	−0.156074	+	0.156074i
$353$	−6.80385	−	25.3923i	−0.362132	−	1.35150i	−0.871267	−	0.490809i	$-0.836701\pi$
$353$	−6.80385	−	25.3923i	−0.362132	−	1.35150i	0.509135	−	0.860687i	$-0.329965\pi$
$354$	24.3923			1.29644
$355$	2.07180	+	34.5167i	0.109960	+	1.83195i
$356$	29.7846	+	17.1962i	1.57858	+	0.911394i
$357$	−16.3923	−	14.1962i	−0.867573	−	0.751340i
$358$	−5.14359	+	19.1962i	−0.271847	+	1.01455i
$359$	−4.09808	+	2.36603i	−0.216288	+	0.124874i	−0.604230	−	0.796810i	$-0.706519\pi$
$359$	−4.09808	+	2.36603i	−0.216288	+	0.124874i	0.387942	+	0.921684i	$0.373186\pi$
$360$	4.53590	+	0.928203i	0.239063	+	0.0489206i
$361$	−3.50000	+	6.06218i	−0.184211	+	0.319062i
$362$	−30.7583	+	8.24167i	−1.61662	+	0.433173i
$363$	14.2942	+	14.2942i	0.750252	+	0.750252i
$364$	1.60770	+	22.3923i	0.0842661	+	1.17368i
$365$	17.7846	−	5.92820i	0.930889	−	0.310296i
$366$	23.4904	+	13.5622i	1.22786	+	0.708906i
$367$	8.06218	−	2.16025i	0.420842	−	0.112764i	−0.0421820	−	0.999110i	$-0.513431\pi$
$367$	8.06218	−	2.16025i	0.420842	−	0.112764i	0.463024	+	0.886346i	$0.346764\pi$
$368$	−4.39230	−	4.39230i	−0.228965	−	0.228965i
$369$	0.169873	+	0.294229i	0.00884323	+	0.0153169i
$370$	21.1244	−	1.26795i	1.09820	−	0.0659175i
$371$	−6.80385	+	4.60770i	−0.353238	+	0.239220i
$372$	38.0526	−	10.1962i	1.97293	−	0.528646i
$373$	9.46410	+	2.53590i	0.490033	+	0.131304i	0.495370	−	0.868682i	$-0.335032\pi$
$373$	9.46410	+	2.53590i	0.490033	+	0.131304i	−0.00533769	+	0.999986i	$0.501699\pi$
$374$	−4.39230			−0.227121
$375$	9.23205	+	19.5263i	0.476741	+	1.00833i
$376$	−0.928203	−	1.60770i	−0.0478684	−	0.0829105i
$377$	13.3923	+	13.3923i	0.689739	+	0.689739i
$378$	16.0981	+	3.09808i	0.827996	+	0.159348i
$379$	30.2487			1.55377			0.776886	−	0.629641i	$-0.216798\pi$
$379$	30.2487			1.55377			0.776886	+	0.629641i	$0.216798\pi$
$380$	−13.8564	−	6.92820i	−0.710819	−	0.355409i
$381$	15.0263	−	26.0263i	0.769820	−	1.33337i
$382$	−3.12436	−	3.12436i	−0.159856	−	0.159856i
$383$	−7.33013	−	1.96410i	−0.374552	−	0.100361i	0.0666319	−	0.997778i	$-0.478775\pi$
$383$	−7.33013	−	1.96410i	−0.374552	−	0.100361i	−0.441184	+	0.897417i	$0.645441\pi$
$384$	10.9282	+	18.9282i	0.557678	+	0.965926i
$385$	4.29423	+	0.562178i	0.218854	+	0.0286512i
$386$	−14.6603	+	8.46410i	−0.746187	+	0.430811i
$387$	−0.633975	+	2.36603i	−0.0322267	+	0.120272i
$388$	−17.1244	−	4.58846i	−0.869357	−	0.232944i
$389$	7.53590	−	13.0526i	0.382085	−	0.661791i	−0.609275	−	0.792959i	$-0.708539\pi$
$389$	7.53590	−	13.0526i	0.382085	−	0.661791i	0.991360	+	0.131168i	$0.0418727\pi$
$390$	5.19615	−	25.3923i	0.263117	−	1.28579i
$391$		−	6.58846i		−	0.333193i
$392$	−2.33975	+	19.6603i	−0.118175	+	0.992993i
$393$	10.1962	+	10.1962i	0.514328	+	0.514328i
$394$	9.58846	+	5.53590i	0.483059	+	0.278895i
$395$	15.9282	+	24.1244i	0.801435	+	1.21383i
$396$	−0.928203	+	0.535898i	−0.0466440	+	0.0269299i
$397$	21.7583	+	5.83013i	1.09202	+	0.292606i	0.759511	−	0.650495i	$-0.225438\pi$
$397$	21.7583	+	5.83013i	1.09202	+	0.292606i	0.332508	+	0.943100i	$0.392105\pi$
$398$	1.26795	−	4.73205i	0.0635566	−	0.237196i
$399$	15.9282	+	7.73205i	0.797408	+	0.387087i
$400$	−7.85641	+	18.3923i	−0.392820	+	0.919615i
$401$	15.3564	+	26.5981i	0.766862	+	1.32824i	0.939256	+	0.343216i	$0.111516\pi$
$401$	15.3564	+	26.5981i	0.766862	+	1.32824i	−0.172394	+	0.985028i	$0.555150\pi$
$402$	−7.73205	+	7.73205i	−0.385640	+	0.385640i
$403$	−11.1962	−	41.7846i	−0.557720	−	2.08144i
$404$		−	20.2487i		−	1.00741i
$405$	−21.3205	−	10.6603i	−1.05942	−	0.529712i
$406$	9.36603	+	13.8301i	0.464828	+	0.686378i
$407$	−3.46410	+	3.46410i	−0.171709	+	0.171709i
$408$	−6.00000	+	22.3923i	−0.297044	+	1.10858i
$409$	−5.69615	+	9.86603i	−0.281657	+	0.487844i	−0.971793	−	0.235836i	$-0.924217\pi$
$409$	−5.69615	+	9.86603i	−0.281657	+	0.487844i	0.690136	+	0.723679i	$0.257551\pi$
$410$	−1.39230	+	0.464102i	−0.0687610	+	0.0229203i
$411$	−8.19615	−	14.1962i	−0.404286	−	0.700245i
$412$	24.8564	−	6.66025i	1.22459	−	0.328127i
$413$	4.46410	−	23.1962i	0.219664	−	1.14141i
$414$	−0.803848	−	1.39230i	−0.0395070	−	0.0684280i
$415$	−9.57180	+	10.7942i	−0.469861	+	0.529868i
$416$	20.7846	−	12.0000i	1.01905	−	0.588348i
$417$	−0.633975	−	2.36603i	−0.0310459	−	0.115865i
$418$	3.46410	−	0.928203i	0.169435	−	0.0453999i
$419$			2.39230i			0.116872i	0.998291	+	0.0584359i	$0.0186113\pi$
$419$			2.39230i			0.116872i	−0.998291	+	0.0584359i	$0.981389\pi$
$420$	8.73205	−	21.1244i	0.426080	−	1.03076i
$421$			30.1244i			1.46817i	0.679057	+	0.734086i	$0.262389\pi$
$421$			30.1244i			1.46817i	−0.679057	+	0.734086i	$0.737611\pi$
$422$	−7.51666	−	28.0526i	−0.365905	−	1.36558i
$423$	−0.124356	−	0.464102i	−0.00604638	−	0.0225654i
$424$	7.60770	+	4.39230i	0.369462	+	0.213309i
$425$	−19.6865	+	7.90192i	−0.954937	+	0.383300i
$426$	−36.5885	+	21.1244i	−1.77272	+	1.02348i
$427$	17.1962	−	19.8564i	0.832180	−	0.960919i
$428$	2.85641	+	10.6603i	0.138070	+	0.515283i
$429$	3.00000	+	5.19615i	0.144841	+	0.250873i
$430$	−9.46410	−	4.73205i	−0.456400	−	0.228200i
$431$	6.63397	−	11.4904i	0.319547	−	0.553472i	−0.660846	−	0.750521i	$-0.729802\pi$
$431$	6.63397	−	11.4904i	0.319547	−	0.553472i	0.980394	+	0.197049i	$0.0631358\pi$
$432$	−4.53590	−	16.9282i	−0.218234	−	0.814459i
$433$	11.4641	−	11.4641i	0.550930	−	0.550930i	−0.375780	−	0.926709i	$-0.622625\pi$
$433$	11.4641	−	11.4641i	0.550930	−	0.550930i	0.926709	+	0.375780i	$0.122625\pi$
$434$	−2.73205	−	38.0526i	−0.131143	−	1.82658i
$435$	−6.09808	−	18.2942i	−0.292380	−	0.877141i
$436$			8.53590i			0.408795i
$437$	1.39230	+	5.19615i	0.0666030	+	0.248566i
$438$	16.1962	+	16.1962i	0.773882	+	0.773882i
$439$	2.66025	+	4.60770i	0.126967	+	0.219913i	0.922500	−	0.385997i	$-0.126142\pi$
$439$	2.66025	+	4.60770i	0.126967	+	0.219913i	−0.795533	+	0.605910i	$0.792809\pi$
$440$	−1.46410	−	4.39230i	−0.0697983	−	0.209395i
$441$	−1.90192	+	4.75833i	−0.0905678	+	0.226587i
$442$	24.5885	+	6.58846i	1.16955	+	0.313381i
$443$	−33.3564	−	8.93782i	−1.58481	−	0.424649i	−0.644400	−	0.764689i	$-0.722893\pi$
$443$	−33.3564	−	8.93782i	−1.58481	−	0.424649i	−0.940411	+	0.340040i	$0.889559\pi$
$444$	12.9282	+	22.3923i	0.613545	+	1.06269i
$445$	−32.0885	+	21.1865i	−1.52114	+	1.00434i
$446$	−7.92820	+	13.7321i	−0.375411	+	0.650231i
$447$	30.9545	+	30.9545i	1.46410	+	1.46410i
$448$	20.0000	−	6.92820i	0.944911	−	0.327327i
$449$		−	23.1962i		−	1.09469i	−0.836906	−	0.547347i	$-0.815638\pi$
$449$		−	23.1962i		−	1.09469i	0.836906	−	0.547347i	$-0.184362\pi$
$450$	−3.19615	+	4.07180i	−0.150668	+	0.191946i
$451$	0.169873	−	0.294229i	0.00799901	−	0.0138547i
$452$	6.92820	+	1.85641i	0.325875	+	0.0873180i
$453$	6.90192	−	25.7583i	0.324281	−	1.21023i
$454$	9.39230	+	16.2679i	0.440803	+	0.763493i
$455$	−23.1962	−	9.58846i	−1.08745	−	0.449514i
$456$		−	18.9282i		−	0.886394i
$457$	13.9282	+	3.73205i	0.651534	+	0.174578i	0.569422	−	0.822045i	$-0.307167\pi$
$457$	13.9282	+	3.73205i	0.651534	+	0.174578i	0.0821116	+	0.996623i	$0.473834\pi$
$458$	−15.4641	+	15.4641i	−0.722590	+	0.722590i
$459$	9.29423	−	16.0981i	0.433817	−	0.751394i
$460$	6.58846	−	2.19615i	0.307188	−	0.102396i
$461$	12.1436			0.565584			0.282792	−	0.959181i	$-0.408739\pi$
$461$	12.1436			0.565584			0.282792	+	0.959181i	$0.408739\pi$
$462$	1.73205	+	5.00000i	0.0805823	+	0.232621i
$463$	0.830127	+	0.830127i	0.0385793	+	0.0385793i	0.726133	−	0.687554i	$-0.241316\pi$
$463$	0.830127	+	0.830127i	0.0385793	+	0.0385793i	−0.687554	+	0.726133i	$0.741316\pi$
$464$	8.92820	−	15.4641i	0.414481	−	0.717903i
$465$	−8.83013	+	43.1506i	−0.409487	+	2.00106i
$466$			10.3923i			0.481414i
$467$	−6.23205	−	1.66987i	−0.288385	−	0.0772725i	0.111727	−	0.993739i	$-0.464362\pi$
$467$	−6.23205	−	1.66987i	−0.288385	−	0.0772725i	−0.400111	+	0.916466i	$0.631029\pi$
$468$	6.00000	−	1.60770i	0.277350	−	0.0743157i
$469$	5.93782	+	8.76795i	0.274183	+	0.404866i
$470$	2.07180	−	0.124356i	0.0955649	−	0.00573610i
$471$	−17.0263	−	29.4904i	−0.784530	−	1.35885i
$472$	−24.3923	+	6.53590i	−1.12275	+	0.300839i
$473$	2.36603	−	0.633975i	0.108790	−	0.0291502i
$474$	−17.6603	+	30.5885i	−0.811162	+	1.40497i
$475$	13.8564	−	10.3923i	0.635776	−	0.476832i
$476$	20.1962	+	9.80385i	0.925689	+	0.449359i
$477$	1.60770	+	1.60770i	0.0736113	+	0.0736113i
$478$	−1.73205	−	6.46410i	−0.0792222	−	0.295661i
$479$	−1.90192	+	3.29423i	−0.0869011	+	0.150517i	−0.906200	−	0.422850i	$-0.861030\pi$
$479$	−1.90192	+	3.29423i	−0.0869011	+	0.150517i	0.819299	+	0.573367i	$0.194363\pi$
$480$	−24.3923	+	1.46410i	−1.11335	+	0.0668268i
$481$	24.5885	−	14.1962i	1.12114	−	0.647289i
$482$	−27.8564	−	7.46410i	−1.26882	−	0.339981i
$483$	−7.50000	+	2.59808i	−0.341262	+	0.118217i
$484$	−18.1244	−	10.4641i	−0.823834	−	0.475641i
$485$	13.1506	−	14.8301i	0.597140	−	0.673401i
$486$		−	10.5359i		−	0.477918i
$487$	5.09808	+	19.0263i	0.231016	+	0.862163i	0.979905	+	0.199467i	$0.0639211\pi$
$487$	5.09808	+	19.0263i	0.231016	+	0.862163i	−0.748889	+	0.662696i	$0.769412\pi$
$488$	−27.1244	−	7.26795i	−1.22786	−	0.329005i
$489$	−7.26795			−0.328668
$490$	−18.4904	−	12.1699i	−0.835310	−	0.549779i
$491$			12.1962i			0.550405i	0.961386	+	0.275202i	$0.0887448\pi$
$491$			12.1962i			0.550405i	−0.961386	+	0.275202i	$0.911255\pi$
$492$	−1.26795	−	1.26795i	−0.0571636	−	0.0571636i
$493$	18.2942	−	4.90192i	0.823931	−	0.220772i
$494$	−20.7846			−0.935144
$495$	−0.0717968	−	1.19615i	−0.00322702	−	0.0537631i
$496$	−35.3205	+	20.3923i	−1.58594	+	0.915642i
$497$	13.3923	+	38.6603i	0.600727	+	1.73415i
$498$	−17.0263	−	4.56218i	−0.762966	−	0.204436i
$499$	−6.75833	−	11.7058i	−0.302544	−	0.524022i	0.674167	−	0.738579i	$-0.264503\pi$
$499$	−6.75833	−	11.7058i	−0.302544	−	0.524022i	−0.976712	+	0.214556i	$0.931169\pi$
$500$	−14.4641	−	17.0526i	−0.646854	−	0.762614i
$501$	7.79423	+	4.50000i	0.348220	+	0.201045i
$502$	26.8564	−	7.19615i	1.19866	−	0.321180i
$503$	22.6865	−	22.6865i	1.01154	−	1.01154i	0.0116099	−	0.999933i	$-0.496304\pi$
$503$	22.6865	−	22.6865i	1.01154	−	1.01154i	0.999933	−	0.0116099i	$-0.00369564\pi$
$504$	5.46410	−	0.392305i	0.243390	−	0.0174746i
$505$	20.2487	+	10.1244i	0.901056	+	0.450528i
$506$	−0.803848	+	1.39230i	−0.0357354	+	0.0618955i
$507$	−2.50000	−	9.33013i	−0.111029	−	0.414365i
$508$	−8.05256	+	30.0526i	−0.357275	+	1.33337i
$509$	−9.57180	+	5.52628i	−0.424262	+	0.244948i	−0.696899	−	0.717169i	$-0.745438\pi$
$509$	−9.57180	+	5.52628i	−0.424262	+	0.244948i	0.272637	+	0.962117i	$0.412104\pi$
$510$	−19.3923	−	17.1962i	−0.858706	−	0.761458i
$511$	18.3660	−	12.4378i	0.812465	−	0.550217i
$512$	−16.0000	−	16.0000i	−0.707107	−	0.707107i
$513$	−3.92820	+	14.6603i	−0.173434	+	0.647266i
$514$		−	37.8564i		−	1.66977i
$515$	−5.76795	+	28.1865i	−0.254166	+	1.24205i
$516$		−	12.9282i		−	0.569132i
$517$	−0.339746	+	0.339746i	−0.0149420	+	0.0149420i
$518$	23.6603	−	8.19615i	1.03957	−	0.360118i
$519$			0.928203i			0.0407436i
$520$	1.60770	+	26.7846i	0.0705021	+	1.17458i
$521$	7.39230	+	4.26795i	0.323863	+	0.186982i	0.653113	−	0.757260i	$-0.273463\pi$
$521$	7.39230	+	4.26795i	0.323863	+	0.186982i	−0.329250	+	0.944243i	$0.606796\pi$
$522$	3.26795	−	3.26795i	0.143034	−	0.143034i
$523$	−6.50962	+	24.2942i	−0.284646	+	1.06231i	0.664452	+	0.747331i	$0.268665\pi$
$523$	−6.50962	+	24.2942i	−0.284646	+	1.06231i	−0.949098	+	0.314982i	$0.898002\pi$
$524$	−12.9282	−	7.46410i	−0.564771	−	0.326071i
$525$	16.7583	+	19.2942i	0.731393	+	0.842069i
$526$	0.509619	−	0.294229i	0.0222204	−	0.0128290i
$527$	−41.7846	−	11.1962i	−1.82017	−	0.487712i
$528$	4.00000	−	4.00000i	0.174078	−	0.174078i
$529$	17.8301	+	10.2942i	0.775223	+	0.447575i
$530$	−8.19615	+	5.41154i	−0.356018	+	0.235062i
$531$	−6.53590			−0.283634
$532$	−18.0000	−	3.46410i	−0.780399	−	0.150188i
$533$	−1.39230	+	1.39230i	−0.0603074	+	0.0603074i
$534$	−40.6865	−	23.4904i	−1.76068	−	1.01653i
$535$	−12.0885	−	2.47372i	−0.522630	−	0.106948i
$536$	5.66025	−	9.80385i	0.244486	−	0.423462i
$537$	7.02628	−	26.2224i	0.303206	−	1.13158i
$538$	4.83013	+	1.29423i	0.208242	+	0.0557982i
$539$	5.07180	−	0.732051i	0.218458	−	0.0315317i
$540$	19.1962	+	3.92820i	0.826071	+	0.169043i
$541$	−1.79423	+	1.03590i	−0.0771399	+	0.0445368i	−0.538074	−	0.842898i	$-0.680848\pi$
$541$	−1.79423	+	1.03590i	−0.0771399	+	0.0445368i	0.460934	+	0.887434i	$0.347515\pi$
$542$	12.0000	−	12.0000i	0.515444	−	0.515444i
$543$	42.0167	−	11.2583i	1.80311	−	0.483141i
$544$		−	24.0000i		−	1.02899i
$545$	−8.53590	−	4.26795i	−0.365638	−	0.182819i
$546$	−2.19615	−	30.5885i	−0.0939866	−	1.30907i
$547$	14.4904	+	14.4904i	0.619564	+	0.619564i	0.945420	−	0.325856i	$-0.105652\pi$
$547$	14.4904	+	14.4904i	0.619564	+	0.619564i	−0.325856	+	0.945420i	$0.605652\pi$
$548$	12.0000	+	12.0000i	0.512615	+	0.512615i
$549$	−6.29423	−	3.63397i	−0.268631	−	0.155094i
$550$	5.12436	+	0.732051i	0.218503	+	0.0312148i
$551$	−13.3923	+	7.73205i	−0.570531	+	0.329396i
$552$	6.00000	+	6.00000i	0.255377	+	0.255377i
$553$	25.8564	+	22.3923i	1.09953	+	0.952218i
$554$	23.7846	−	13.7321i	1.01051	−	0.583419i
$555$	−28.8564	+	1.73205i	−1.22489	+	0.0735215i
$556$	1.26795	+	2.19615i	0.0537730	+	0.0931376i
$557$	30.7583	−	8.24167i	1.30327	−	0.349211i	0.460586	−	0.887615i	$-0.347639\pi$
$557$	30.7583	−	8.24167i	1.30327	−	0.349211i	0.842687	+	0.538404i	$0.180973\pi$
$558$	−10.1962	+	2.73205i	−0.431638	+	0.115657i
$559$	−14.1962			−0.600433
$560$	−3.07180	+	23.4641i	−0.129807	+	0.991539i
$561$	6.00000			0.253320
$562$	−33.1244	+	8.87564i	−1.39727	+	0.374396i
$563$	26.3564	−	7.06218i	1.11079	−	0.297635i	0.343639	−	0.939102i	$-0.388340\pi$
$563$	26.3564	−	7.06218i	1.11079	−	0.297635i	0.767151	+	0.641466i	$0.221674\pi$
$564$	1.26795	+	2.19615i	0.0533903	+	0.0924747i
$565$	−5.32051	+	6.00000i	−0.223835	+	0.252422i
$566$	−17.1962	+	9.92820i	−0.722808	+	0.417314i
$567$	−27.6962	−	5.33013i	−1.16313	−	0.223844i
$568$	30.9282	−	30.9282i	1.29772	−	1.29772i
$569$	−18.8038	+	10.8564i	−0.788298	+	0.455124i	−0.839363	−	0.543571i	$-0.817072\pi$
$569$	−18.8038	+	10.8564i	−0.788298	+	0.455124i	0.0510648	+	0.998695i	$0.483738\pi$
$570$	18.9282	+	9.46410i	0.792815	+	0.396408i
$571$	14.7846	+	8.53590i	0.618717	+	0.357216i	0.776369	−	0.630278i	$-0.217059\pi$
$571$	14.7846	+	8.53590i	0.618717	+	0.357216i	−0.157653	+	0.987495i	$0.550393\pi$
$572$	−4.39230	−	4.39230i	−0.183651	−	0.183651i
$573$	4.26795	+	4.26795i	0.178296	+	0.178296i
$574$	−1.43782	+	0.973721i	−0.0600135	+	0.0406423i
$575$	−1.09808	+	7.68653i	−0.0457929	+	0.320551i
$576$	−2.92820	−	5.07180i	−0.122008	−	0.211325i
$577$	−16.4904	+	4.41858i	−0.686504	+	0.183948i	−0.585178	−	0.810905i	$-0.698975\pi$
$577$	−16.4904	+	4.41858i	−0.686504	+	0.183948i	−0.101326	+	0.994853i	$0.532309\pi$
$578$	1.00000	−	1.00000i	0.0415945	−	0.0415945i
$579$	20.0263	−	11.5622i	0.832264	−	0.480508i
$580$	11.0000	+	16.6603i	0.456750	+	0.691779i
$581$	−7.45448	+	15.3564i	−0.309264	+	0.637091i
$582$	23.3923	+	6.26795i	0.969642	+	0.259815i
$583$	0.588457	−	2.19615i	0.0243714	−	0.0909553i
$584$	−20.5359	−	11.8564i	−0.849782	−	0.490622i
$585$	−1.39230	+	6.80385i	−0.0575647	+	0.281304i
$586$	−7.26795	−	4.19615i	−0.300236	−	0.173341i
$587$	−9.00000	+	9.00000i	−0.371470	+	0.371470i	−0.868012	−	0.496543i	$-0.834603\pi$
$587$	−9.00000	+	9.00000i	−0.371470	+	0.371470i	0.496543	+	0.868012i	$0.334603\pi$
$588$	3.19615	−	26.8564i	0.131807	−	1.10754i
$589$	35.3205			1.45536
$590$	5.66025	−	27.6603i	0.233029	−	1.13875i
$591$	−13.0981	−	7.56218i	−0.538783	−	0.311066i
$592$	−18.9282	−	18.9282i	−0.777944	−	0.777944i
$593$	−14.1962	−	3.80385i	−0.582966	−	0.156205i	−0.0447296	−	0.998999i	$-0.514243\pi$
$593$	−14.1962	−	3.80385i	−0.582966	−	0.156205i	−0.538237	+	0.842794i	$0.680909\pi$
$594$	−3.92820	+	2.26795i	−0.161176	+	0.0930551i
$595$	−19.9019	+	15.2942i	−0.815899	+	0.627002i
$596$	−39.2487	−	22.6603i	−1.60769	−	0.928200i
$597$	−1.73205	+	6.46410i	−0.0708881	+	0.264558i
$598$	6.58846	−	6.58846i	0.269422	−	0.269422i
$599$	−21.0000	−	12.1244i	−0.858037	−	0.495388i	0.00531761	−	0.999986i	$-0.498307\pi$
$599$	−21.0000	−	12.1244i	−0.858037	−	0.495388i	−0.863354	+	0.504598i	$0.831641\pi$
$600$	10.7321	−	25.1244i	0.438134	−	1.02570i
$601$		−	28.3923i		−	1.15815i	−0.815276	−	0.579073i	$-0.803415\pi$
$601$		−	28.3923i		−	1.15815i	0.815276	−	0.579073i	$-0.196585\pi$
$602$	−12.2942	−	2.36603i	−0.501075	−	0.0964320i
$603$	2.07180	−	2.07180i	0.0843701	−	0.0843701i
$604$			27.6077i			1.12334i
$605$	19.5263	−	12.8923i	0.793856	−	0.524147i
$606$			27.6603i			1.12362i
$607$	−6.16025	+	22.9904i	−0.250037	+	0.933151i	0.720747	+	0.693198i	$0.243799\pi$
$607$	−6.16025	+	22.9904i	−0.250037	+	0.933151i	−0.970784	+	0.239953i	$0.922868\pi$
$608$	5.07180	+	18.9282i	0.205689	+	0.767640i
$609$	−12.7942	−	18.8923i	−0.518448	−	0.765555i
$610$	20.8301	−	23.4904i	0.843387	−	0.951098i
$611$	2.41154	−	1.39230i	0.0975606	−	0.0563266i
$612$	1.60770	−	6.00000i	0.0649872	−	0.242536i
$613$	1.43782	+	5.36603i	0.0580731	+	0.216732i	0.988864	−	0.148819i	$-0.0475473\pi$
$613$	1.43782	+	5.36603i	0.0580731	+	0.216732i	−0.930791	+	0.365551i	$0.880881\pi$
$614$	0.758330	−	1.31347i	0.0306037	−	0.0530072i
$615$	1.90192	−	0.633975i	0.0766930	−	0.0255643i
$616$	−3.07180	−	4.53590i	−0.123766	−	0.182757i
$617$	−0.928203	+	0.928203i	−0.0373681	+	0.0373681i	−0.725544	−	0.688176i	$-0.758412\pi$
$617$	−0.928203	+	0.928203i	−0.0373681	+	0.0373681i	0.688176	+	0.725544i	$0.258412\pi$
$618$	−33.9545	+	9.09808i	−1.36585	+	0.365978i
$619$	−15.2942	−	8.83013i	−0.614727	−	0.354913i	0.160086	−	0.987103i	$-0.448823\pi$
$619$	−15.2942	−	8.83013i	−0.614727	−	0.354913i	−0.774813	+	0.632190i	$0.782156\pi$
$620$	−2.73205	−	45.5167i	−0.109722	−	1.82799i
$621$	−3.40192	−	5.89230i	−0.136514	−	0.236450i
$622$	34.0526	+	9.12436i	1.36538	+	0.365853i
$623$	−29.7846	+	34.3923i	−1.19330	+	1.37790i
$624$	−28.3923	+	16.3923i	−1.13660	+	0.656217i
$625$	24.2846	−	5.93782i	0.971384	−	0.237513i
$626$	−23.6077			−0.943553
$627$	−4.73205	+	1.26795i	−0.188980	+	0.0506370i
$628$	24.9282	+	24.9282i	0.994744	+	0.994744i
$629$		−	28.3923i		−	1.13208i
$630$	−2.33975	+	5.66025i	−0.0932177	+	0.225510i
$631$	−7.26795			−0.289332			−0.144666	−	0.989481i	$-0.546211\pi$
$631$	−7.26795			−0.289332			−0.144666	+	0.989481i	$0.546211\pi$
$632$	9.46410	−	35.3205i	0.376462	−	1.40497i
$633$	10.2679	+	38.3205i	0.408114	+	1.52310i
$634$			6.39230i			0.253871i
$635$	−26.0263	−	23.0788i	−1.03282	−	0.915856i
$636$	−10.3923	−	6.00000i	−0.412082	−	0.237915i
$637$	−29.4904	−	3.50962i	−1.16845	−	0.139056i
$638$	−4.46410	−	1.19615i	−0.176735	−	0.0473561i
$639$	9.80385	−	5.66025i	0.387834	−	0.223916i
$640$	24.0000	−	8.00000i	0.948683	−	0.316228i
$641$	16.3301	−	28.2846i	0.645001	−	1.11717i	−0.339300	−	0.940678i	$-0.610190\pi$
$641$	16.3301	−	28.2846i	0.645001	−	1.11717i	0.984301	−	0.176497i	$-0.0564765\pi$
$642$	−3.90192	−	14.5622i	−0.153997	−	0.574723i
$643$	−9.00000	−	9.00000i	−0.354925	−	0.354925i	0.507013	−	0.861938i	$-0.330750\pi$
$643$	−9.00000	−	9.00000i	−0.354925	−	0.354925i	−0.861938	+	0.507013i	$0.830750\pi$
$644$	6.80385	−	4.60770i	0.268109	−	0.181569i
$645$	12.9282	+	6.46410i	0.509048	+	0.254524i
$646$	−10.3923	+	18.0000i	−0.408880	+	0.708201i
$647$	26.2583	−	7.03590i	1.03232	−	0.276610i	0.297394	−	0.954755i	$-0.403883\pi$
$647$	26.2583	−	7.03590i	1.03232	−	0.276610i	0.734928	+	0.678145i	$0.237216\pi$
$648$	7.80385	+	29.1244i	0.306564	+	1.14411i
$649$	3.26795	+	5.66025i	0.128278	+	0.222184i
$650$	−27.5885	−	11.7846i	−1.08211	−	0.462230i
$651$	3.73205	+	51.9808i	0.146271	+	2.03729i
$652$	7.26795	−	1.94744i	0.284635	−	0.0762677i
$653$	31.4186	+	8.41858i	1.22950	+	0.329445i	0.814386	−	0.580323i	$-0.197074\pi$
$653$	31.4186	+	8.41858i	1.22950	+	0.329445i	0.415118	+	0.909768i	$0.363740\pi$
$654$		−	11.6603i		−	0.455952i
$655$	13.9282	−	9.19615i	0.544220	−	0.359323i
$656$	1.60770	+	0.928203i	0.0627700	+	0.0362402i
$657$	−4.33975	−	4.33975i	−0.169310	−	0.169310i
$658$	2.32051	−	0.803848i	0.0904628	−	0.0313372i
$659$	−39.3205			−1.53171			−0.765855	−	0.643014i	$-0.777684\pi$
$659$	−39.3205			−1.53171			−0.765855	+	0.643014i	$0.777684\pi$
$660$	2.00000	+	6.00000i	0.0778499	+	0.233550i
$661$	19.9641	−	34.5788i	0.776514	−	1.34496i	−0.157426	−	0.987531i	$-0.550320\pi$
$661$	19.9641	−	34.5788i	0.776514	−	1.34496i	0.933940	−	0.357430i	$-0.116347\pi$
$662$	−7.26795	+	7.26795i	−0.282477	+	0.282477i
$663$	−33.5885	−	9.00000i	−1.30447	−	0.349531i
$664$	18.2487			0.708187
$665$	12.4641	−	16.2679i	0.483337	−	0.630844i
$666$	−3.46410	−	6.00000i	−0.134231	−	0.232495i
$667$	1.79423	−	6.69615i	0.0694728	−	0.259276i
$668$	−9.00000	−	2.41154i	−0.348220	−	0.0933054i
$669$	10.8301	−	18.7583i	0.418717	−	0.725239i
$670$	6.97372	+	10.5622i	0.269418	+	0.408053i
$671$			7.26795i			0.280576i
$672$	−27.3205	+	9.46410i	−1.05391	+	0.365086i
$673$	−10.1962	−	10.1962i	−0.393033	−	0.393033i	0.482734	−	0.875767i	$-0.339644\pi$
$673$	−10.1962	−	10.1962i	−0.393033	−	0.393033i	−0.875767	+	0.482734i	$0.839644\pi$
$674$	−19.6603	+	34.0526i	−0.757285	+	1.31166i
$675$	−13.5263	+	17.2321i	−0.520627	+	0.663262i
$676$	5.00000	+	8.66025i	0.192308	+	0.333087i
$677$	4.56218	+	1.22243i	0.175339	+	0.0469819i	0.345420	−	0.938448i	$-0.387736\pi$
$677$	4.56218	+	1.22243i	0.175339	+	0.0469819i	−0.170081	+	0.985430i	$0.554403\pi$
$678$	−9.46410	−	2.53590i	−0.363467	−	0.0973906i
$679$	10.2417	−	21.0981i	0.393039	−	0.809670i
$680$	24.0000	+	12.0000i	0.920358	+	0.460179i
$681$	−12.8301	−	22.2224i	−0.491652	−	0.851565i
$682$	7.46410	+	7.46410i	0.285815	+	0.285815i
$683$	−7.86603	−	29.3564i	−0.300985	−	1.12329i	−0.936347	−	0.351077i	$-0.885816\pi$
$683$	−7.86603	−	29.3564i	−0.300985	−	1.12329i	0.635362	−	0.772215i	$-0.280851\pi$
$684$			5.07180i			0.193925i
$685$	−18.0000	+	6.00000i	−0.687745	+	0.229248i
$686$	−24.9545	−	7.95448i	−0.952767	−	0.303704i
$687$	21.1244	−	21.1244i	0.805944	−	0.805944i
$688$	3.46410	+	12.9282i	0.132068	+	0.492883i
$689$	−6.58846	+	11.4115i	−0.251000	+	0.434745i
$690$	−9.00000	+	3.00000i	−0.342624	+	0.114208i
$691$	−21.7583	−	37.6865i	−0.827726	−	1.43366i	−0.899818	−	0.436265i	$-0.856301\pi$
$691$	−21.7583	−	37.6865i	−0.827726	−	1.43366i	0.0720922	−	0.997398i	$-0.477032\pi$
$692$	−0.248711	−	0.928203i	−0.00945459	−	0.0352850i
$693$	−0.464102	−	1.33975i	−0.0176298	−	0.0508927i
$694$	−44.2750	+	25.5622i	−1.68066	+	0.970327i
$695$	−2.83013	+	0.169873i	−0.107353	+	0.00644365i
$696$	−12.1962	+	21.1244i	−0.462294	+	0.800717i
$697$	0.509619	+	1.90192i	0.0193032	+	0.0720405i
$698$	7.31347	+	27.2942i	0.276819	+	1.03310i
$699$		−	14.1962i		−	0.536948i
$700$	−21.9282	−	14.8038i	−0.828808	−	0.559533i
$701$			33.9808i			1.28344i	0.766941	+	0.641718i	$0.221778\pi$
$701$			33.9808i			1.28344i	−0.766941	+	0.641718i	$0.778222\pi$
$702$	25.3923	−	6.80385i	0.958371	−	0.256795i
$703$	6.00000	+	22.3923i	0.226294	+	0.844542i
$704$	−2.92820	+	5.07180i	−0.110361	+	0.191151i
$705$	−2.83013	+	0.169873i	−0.106589	+	0.00639779i
$706$	−18.5885	−	32.1962i	−0.699586	−	1.21172i
$707$	26.3038	+	5.06218i	0.989258	+	0.190383i
$708$	33.3205	−	8.92820i	1.25226	−	0.335542i
$709$	−7.96410	−	13.7942i	−0.299098	−	0.518053i	0.676832	−	0.736138i	$-0.263352\pi$
$709$	−7.96410	−	13.7942i	−0.299098	−	0.518053i	−0.975930	+	0.218085i	$0.930019\pi$
$710$	15.4641	+	46.3923i	0.580357	+	1.74107i
$711$	4.73205	−	8.19615i	0.177466	−	0.307380i
$712$	46.9808	+	12.5885i	1.76068	+	0.471772i
$713$	−11.1962	+	11.1962i	−0.419299	+	0.419299i
$714$	−27.5885	−	13.3923i	−1.03247	−	0.501194i
$715$	6.58846	−	2.19615i	0.246394	−	0.0821314i
$716$			28.1051i			1.05034i
$717$	2.36603	+	8.83013i	0.0883608	+	0.329767i
$718$	−4.73205	+	4.73205i	−0.176599	+	0.176599i
$719$	5.36603	+	9.29423i	0.200119	+	0.346616i	0.948567	−	0.316578i	$-0.102534\pi$
$719$	5.36603	+	9.29423i	0.200119	+	0.346616i	−0.748448	+	0.663194i	$0.769200\pi$
$720$	6.53590	−	0.392305i	0.243579	−	0.0146203i
$721$	2.43782	+	33.9545i	0.0907892	+	1.26453i
$722$	−2.56218	+	9.56218i	−0.0953544	+	0.355867i
$723$	38.0526	+	10.1962i	1.41519	+	0.379199i
$724$	−39.0000	+	22.5167i	−1.44942	+	0.836825i
$725$	−22.1603	+	2.66987i	−0.823011	+	0.0991566i
$726$	24.7583	+	14.2942i	0.918868	+	0.530509i
$727$	17.2942	+	17.2942i	0.641407	+	0.641407i	0.950901	−	0.309494i	$-0.100160\pi$
$727$	17.2942	+	17.2942i	0.641407	+	0.641407i	−0.309494	+	0.950901i	$0.600160\pi$
$728$	10.3923	+	30.0000i	0.385164	+	1.11187i
$729$		−	17.5885i		−	0.651424i
$730$	22.1244	−	14.6077i	0.818859	−	0.540655i
$731$	−7.09808	+	12.2942i	−0.262532	+	0.454718i
$732$	37.0526	+	9.92820i	1.36950	+	0.366957i
$733$	5.70577	−	21.2942i	0.210747	−	0.786520i	−0.776873	−	0.629657i	$-0.783195\pi$
$733$	5.70577	−	21.2942i	0.210747	−	0.786520i	0.987620	−	0.156863i	$-0.0501381\pi$
$734$	10.2224	−	5.90192i	0.377317	−	0.217844i
$735$	25.2583	+	16.6244i	0.931668	+	0.613199i
$736$	−7.60770	−	4.39230i	−0.280423	−	0.161903i
$737$	−2.83013	−	0.758330i	−0.104249	−	0.0279335i
$738$	0.339746	+	0.339746i	0.0125062	+	0.0125062i
$739$	−5.83013	+	10.0981i	−0.214465	+	0.371464i	−0.953107	−	0.302634i	$-0.902134\pi$
$739$	−5.83013	+	10.0981i	−0.214465	+	0.371464i	0.738642	+	0.674098i	$0.235467\pi$
$740$	28.3923	−	9.46410i	1.04372	−	0.347907i
$741$	28.3923			1.04302
$742$	−7.60770	+	8.78461i	−0.279287	+	0.322493i
$743$	−33.4186	−	33.4186i	−1.22601	−	1.22601i	−0.965461	−	0.260548i	$-0.916097\pi$
$743$	−33.4186	−	33.4186i	−1.22601	−	1.22601i	−0.260548	−	0.965461i	$-0.583903\pi$
$744$	48.2487	−	27.8564i	1.76888	−	1.02127i
$745$	42.2846	−	27.9186i	1.54919	−	1.02286i
$746$	13.8564			0.507319
$747$	4.56218	+	1.22243i	0.166921	+	0.0447264i
$748$	−6.00000	+	1.60770i	−0.219382	+	0.0587832i
$749$	−14.5622	+	1.04552i	−0.532090	+	0.0382024i
$750$	19.7583	+	23.2942i	0.721472	+	0.850585i
$751$	5.19615	+	9.00000i	0.189610	+	0.328415i	0.945120	−	0.326722i	$-0.105944\pi$
$751$	5.19615	+	9.00000i	0.189610	+	0.328415i	−0.755510	+	0.655137i	$0.772611\pi$
$752$	−1.85641	−	1.85641i	−0.0676962	−	0.0676962i
$753$	−36.6865	+	9.83013i	−1.33693	+	0.358230i
$754$	23.1962	+	13.3923i	0.844754	+	0.487719i
$755$	−27.6077	−	13.8038i	−1.00475	−	0.502373i
$756$	23.1244	−	1.66025i	0.841025	−	0.0603829i
$757$	−37.0526	−	37.0526i	−1.34670	−	1.34670i	−0.889222	−	0.457476i	$-0.848753\pi$
$757$	−37.0526	−	37.0526i	−1.34670	−	1.34670i	−0.457476	−	0.889222i	$-0.651247\pi$
$758$	41.3205	−	11.0718i	1.50083	−	0.402146i
$759$	1.09808	−	1.90192i	0.0398576	−	0.0690355i
$760$	−21.4641	−	4.39230i	−0.778585	−	0.159326i
$761$	−30.8038	+	17.7846i	−1.11664	+	0.644692i	−0.940541	−	0.339681i	$-0.889681\pi$
$761$	−30.8038	+	17.7846i	−1.11664	+	0.644692i	−0.176098	+	0.984373i	$0.556348\pi$
$762$	11.0000	−	41.0526i	0.398488	−	1.48718i
$763$	−11.0885	−	2.13397i	−0.401429	−	0.0772551i
$764$	−5.41154	−	3.12436i	−0.195783	−	0.113035i
$765$	5.19615	+	4.60770i	0.187867	+	0.166592i
$766$	−10.7321			−0.387765
$767$	−9.80385	−	36.5885i	−0.353996	−	1.32113i
$768$	21.8564	+	21.8564i	0.788675	+	0.788675i
$769$	−22.6410			−0.816456			−0.408228	−	0.912880i	$-0.633853\pi$
$769$	−22.6410			−0.816456			−0.408228	+	0.912880i	$0.633853\pi$
$770$	6.07180	−	0.803848i	0.218812	−	0.0289687i
$771$			51.7128i			1.86239i
$772$	−16.9282	+	16.9282i	−0.609259	+	0.609259i
$773$	−13.0981	+	3.50962i	−0.471105	+	0.126232i	−0.486558	−	0.873648i	$-0.661748\pi$
$773$	−13.0981	+	3.50962i	−0.471105	+	0.126232i	0.0154528	+	0.999881i	$0.495081\pi$
$774$			3.46410i			0.124515i
$775$	46.8827	+	20.0263i	1.68408	+	0.719365i
$776$	−25.0718			−0.900025
$777$	−32.3205	+	11.1962i	−1.15949	+	0.401660i
$778$	5.51666	−	20.5885i	0.197782	−	0.738132i
$779$	−0.803848	−	1.39230i	−0.0288008	−	0.0498845i
$780$	−2.19615	−	36.5885i	−0.0786349	−	1.31008i
$781$	−9.80385	−	5.66025i	−0.350809	−	0.202540i
$782$	−2.41154	−	9.00000i	−0.0862366	−	0.321839i
$783$	13.8301	−	13.8301i	0.494248	−	0.494248i
$784$	4.00000	+	27.7128i	0.142857	+	0.989743i
$785$	−37.3923	+	12.4641i	−1.33459	+	0.444863i
$786$	17.6603	+	10.1962i	0.629920	+	0.363685i
$787$	2.72243	+	10.1603i	0.0970442	+	0.362174i	0.997321	−	0.0731430i	$-0.0233030\pi$
$787$	2.72243	+	10.1603i	0.0970442	+	0.362174i	−0.900277	+	0.435317i	$0.856636\pi$
$788$	15.1244	+	4.05256i	0.538783	+	0.144366i
$789$	−0.696152	+	0.401924i	−0.0247837	+	0.0143089i
$790$	30.5885	+	27.1244i	1.08829	+	0.965041i
$791$	−4.14359	+	8.53590i	−0.147329	+	0.303502i
$792$	−1.07180	+	1.07180i	−0.0380846	+	0.0380846i
$793$	10.9019	−	40.6865i	0.387139	−	1.44482i
$794$	31.8564			1.13054
$795$	11.1962	−	7.39230i	0.397087	−	0.262178i
$796$		−	6.92820i		−	0.245564i
$797$	0.928203	−	0.928203i	0.0328786	−	0.0328786i	−0.690476	−	0.723355i	$-0.742599\pi$
$797$	0.928203	−	0.928203i	0.0328786	−	0.0328786i	0.723355	+	0.690476i	$0.242599\pi$
$798$	24.5885	+	4.73205i	0.870422	+	0.167513i
$799$		−	2.78461i		−	0.0985124i
$800$	−4.00000	+	28.0000i	−0.141421	+	0.989949i
$801$	10.9019	+	6.29423i	0.385201	+	0.222396i
$802$	30.7128	+	30.7128i	1.08451	+	1.08451i
$803$	−1.58846	+	5.92820i	−0.0560554	+	0.209202i
$804$	−7.73205	+	13.3923i	−0.272688	+	0.472310i
$805$	1.20577	+	9.10770i	0.0424979	+	0.321004i
$806$	−30.5885	−	52.9808i	−1.07743	−	1.86617i
$807$	−6.59808	−	1.76795i	−0.232263	−	0.0622348i
$808$	−7.41154	−	27.6603i	−0.260737	−	0.973084i
$809$	40.5788	+	23.4282i	1.42668	+	0.823692i	0.996857	−	0.0792233i	$-0.0252440\pi$
$809$	40.5788	+	23.4282i	1.42668	+	0.823692i	0.429819	+	0.902915i	$0.358577\pi$
$810$	−33.0263	−	6.75833i	−1.16043	−	0.237464i
$811$	30.3397			1.06537			0.532686	−	0.846313i	$-0.321183\pi$
$811$	30.3397			1.06537			0.532686	+	0.846313i	$0.321183\pi$
$812$	17.8564	+	15.4641i	0.626637	+	0.542684i
$813$	−16.3923	+	16.3923i	−0.574903	+	0.574903i
$814$	−3.46410	+	6.00000i	−0.121417	+	0.210300i
$815$	−1.68653	+	8.24167i	−0.0590767	+	0.288693i
$816$			32.7846i			1.14769i
$817$	3.00000	−	11.1962i	0.104957	−	0.391704i
$818$	−4.16987	+	15.5622i	−0.145796	+	0.544119i
$819$	0.588457	+	8.19615i	0.0205624	+	0.286397i
$820$	−1.73205	+	1.14359i	−0.0604858	+	0.0399360i
$821$	−9.92820	+	5.73205i	−0.346497	+	0.200050i	−0.663141	−	0.748494i	$-0.730777\pi$
$821$	−9.92820	+	5.73205i	−0.346497	+	0.200050i	0.316645	+	0.948544i	$0.397444\pi$
$822$	−16.3923	−	16.3923i	−0.571747	−	0.571747i
$823$	−13.6962	+	3.66987i	−0.477418	+	0.127924i	−0.489500	−	0.872003i	$-0.662821\pi$
$823$	−13.6962	+	3.66987i	−0.477418	+	0.127924i	0.0120822	+	0.999927i	$0.496154\pi$
$824$	31.5167	−	18.1962i	1.09793	−	0.633893i
$825$	−7.00000	−	1.00000i	−0.243709	−	0.0348155i
$826$	−2.39230	−	33.3205i	−0.0832389	−	1.15937i
$827$	−17.1506	−	17.1506i	−0.596386	−	0.596386i	0.342963	−	0.939349i	$-0.388569\pi$
$827$	−17.1506	−	17.1506i	−0.596386	−	0.596386i	−0.939349	+	0.342963i	$0.888569\pi$
$828$	−1.60770	−	1.60770i	−0.0558713	−	0.0558713i
$829$	8.19615	+	4.73205i	0.284664	+	0.164351i	0.635533	−	0.772074i	$-0.280780\pi$
$829$	8.19615	+	4.73205i	0.284664	+	0.164351i	−0.350869	+	0.936425i	$0.614114\pi$
$830$	−9.12436	+	18.2487i	−0.316711	+	0.633422i
$831$	−32.4904	+	18.7583i	−1.12708	+	0.650719i
$832$	24.0000	−	24.0000i	0.832050	−	0.832050i
$833$	−17.7846	+	23.7846i	−0.616200	+	0.824088i
$834$	−1.73205	−	3.00000i	−0.0599760	−	0.103882i
$835$	6.91154	−	7.79423i	0.239184	−	0.269730i
$836$	4.39230	−	2.53590i	0.151911	−	0.0877059i
$837$	−43.1506	+	11.5622i	−1.49150	+	0.399647i
$838$	0.875644	+	3.26795i	0.0302486	+	0.112889i
$839$	−14.1962			−0.490106			−0.245053	−	0.969510i	$-0.578805\pi$
$839$	−14.1962			−0.490106			−0.245053	+	0.969510i	$0.578805\pi$
$840$	4.19615	−	32.0526i	0.144781	−	1.10592i
$841$	−9.07180			−0.312821
$842$	11.0263	+	41.1506i	0.379991	+	1.41814i
$843$	45.2487	−	12.1244i	1.55845	−	0.417585i
$844$	−20.5359	−	35.5692i	−0.706875	−	1.22434i
$845$	−11.1603	+	0.669873i	−0.383924	+	0.0230443i
$846$	−0.339746	−	0.588457i	−0.0116807	−	0.0202316i
$847$	18.1244	−	20.9282i	0.622760	−	0.719102i
$848$	12.0000	+	3.21539i	0.412082	+	0.110417i
$849$	23.4904	−	13.5622i	0.806188	−	0.465453i
$850$	−24.0000	+	18.0000i	−0.823193	+	0.617395i
$851$	−9.00000	−	5.19615i	−0.308516	−	0.178122i
$852$	−42.2487	+	42.2487i	−1.44742	+	1.44742i
$853$	29.3205	+	29.3205i	1.00392	+	1.00392i	0.999992	+	0.00392277i	$0.00124866\pi$
$853$	29.3205	+	29.3205i	1.00392	+	1.00392i	0.00392277	+	0.999992i	$0.498751\pi$
$854$	16.2224	−	33.4186i	0.555120	−	1.14356i
$855$	−5.07180	−	2.53590i	−0.173452	−	0.0867259i
$856$	7.80385	+	13.5167i	0.266730	+	0.461990i
$857$	15.7583	−	4.22243i	0.538294	−	0.144236i	0.0205786	−	0.999788i	$-0.493449\pi$
$857$	15.7583	−	4.22243i	0.538294	−	0.144236i	0.517716	+	0.855553i	$0.326782\pi$
$858$	6.00000	+	6.00000i	0.204837	+	0.204837i
$859$	−14.1962	+	8.19615i	−0.484366	+	0.279649i	−0.722234	−	0.691648i	$-0.756885\pi$
$859$	−14.1962	+	8.19615i	−0.484366	+	0.279649i	0.237868	+	0.971298i	$0.423551\pi$
$860$	−14.6603	−	3.00000i	−0.499911	−	0.102299i
$861$	1.96410	−	1.33013i	0.0669364	−	0.0453306i
$862$	4.85641	−	18.1244i	0.165410	−	0.617318i
$863$	6.23205	−	23.2583i	0.212141	−	0.791723i	−0.775012	−	0.631947i	$-0.782256\pi$
$863$	6.23205	−	23.2583i	0.212141	−	0.791723i	0.987153	−	0.159776i	$-0.0510772\pi$
$864$	−12.3923	−	21.4641i	−0.421595	−	0.730224i
$865$	1.05256	+	0.215390i	0.0357881	+	0.00732349i
$866$	11.4641	−	19.8564i	0.389566	−	0.674748i
$867$	−1.36603	+	1.36603i	−0.0463927	+	0.0463927i
$868$	−17.6603	−	50.9808i	−0.599428	−	1.73040i
$869$	−9.46410			−0.321048
$870$	−15.0263	−	22.7583i	−0.509439	−	0.771580i
$871$	14.7058	+	8.49038i	0.498286	+	0.287686i
$872$	3.12436	+	11.6603i	0.105804	+	0.394866i
$873$	−6.26795	−	1.67949i	−0.212138	−	0.0568422i
$874$	3.80385	+	6.58846i	0.128667	+	0.222858i
$875$	25.7679	−	14.5263i	0.871116	−	0.491078i
$876$	28.0526	+	16.1962i	0.947808	+	0.547217i
$877$	5.19615	−	19.3923i	0.175462	−	0.654832i	−0.821011	−	0.570912i	$-0.806590\pi$
$877$	5.19615	−	19.3923i	0.175462	−	0.654832i	0.996473	−	0.0839192i	$-0.0267438\pi$
$878$	5.32051	+	5.32051i	0.179558	+	0.179558i
$879$	9.92820	+	5.73205i	0.334870	+	0.193337i
$880$	−3.60770	−	5.46410i	−0.121615	−	0.184195i
$881$		−	27.2487i		−	0.918032i	−0.888428	−	0.459016i	$-0.848202\pi$
$881$		−	27.2487i		−	0.918032i	0.888428	−	0.459016i	$-0.151798\pi$
$882$	−0.856406	+	7.19615i	−0.0288367	+	0.242307i
$883$	−15.2487	+	15.2487i	−0.513160	+	0.513160i	−0.915493	−	0.402333i	$-0.868199\pi$
$883$	−15.2487	+	15.2487i	−0.513160	+	0.513160i	0.402333	+	0.915493i	$0.368199\pi$
$884$	36.0000			1.21081
$885$	−7.73205	+	37.7846i	−0.259910	+	1.27012i
$886$	−48.8372			−1.64072
$887$	−0.820508	+	3.06218i	−0.0275500	+	0.102818i	−0.978332	−	0.207043i	$-0.933616\pi$
$887$	−0.820508	+	3.06218i	−0.0275500	+	0.102818i	0.950782	+	0.309861i	$0.100283\pi$
$888$	25.8564	+	25.8564i	0.867684	+	0.867684i
$889$	−37.0263	−	17.9737i	−1.24182	−	0.602819i
$890$	−36.0788	+	40.6865i	−1.20937	+	1.36382i
$891$	6.75833	−	3.90192i	0.226413	−	0.130719i
$892$	−5.80385	+	21.6603i	−0.194327	+	0.725239i
$893$	0.588457	+	2.19615i	0.0196920	+	0.0734914i
$894$	53.6147	+	30.9545i	1.79315	+	1.03527i
$895$	−28.1051	−	14.0526i	−0.939450	−	0.469725i
$896$	24.7846	−	16.7846i	0.827996	−	0.560734i
$897$	−9.00000	+	9.00000i	−0.300501	+	0.300501i
$898$	−8.49038	−	31.6865i	−0.283328	−	1.05739i
$899$	−39.4186	−	22.7583i	−1.31468	−	0.759033i
$900$	−2.87564	+	6.73205i	−0.0958548	+	0.224402i
$901$	6.58846	+	11.4115i	0.219493	+	0.380174i
$902$	0.124356	−	0.464102i	0.00414059	−	0.0154529i
$903$	16.7942	+	3.23205i	0.558877	+	0.107556i
$904$	10.1436			0.337371
$905$	−3.01666	−	50.2583i	−0.100277	−	1.67064i
$906$		−	37.7128i		−	1.25292i
$907$	−4.50000	+	1.20577i	−0.149420	+	0.0400370i	−0.332754	−	0.943014i	$-0.607978\pi$
$907$	−4.50000	+	1.20577i	−0.149420	+	0.0400370i	0.183334	+	0.983051i	$0.441311\pi$
$908$	18.7846	+	18.7846i	0.623389	+	0.623389i
$909$		−	7.41154i		−	0.245825i
$910$	−35.1962	−	4.60770i	−1.16674	−	0.152744i
$911$	8.19615			0.271551			0.135775	−	0.990740i	$-0.456647\pi$
$911$	8.19615			0.271551			0.135775	+	0.990740i	$0.456647\pi$
$912$	−6.92820	−	25.8564i	−0.229416	−	0.856191i
$913$	−1.22243	−	4.56218i	−0.0404566	−	0.150986i
$914$	20.3923			0.674517
$915$	−28.4545	+	32.0885i	−0.940676	+	1.06081i
$916$	−15.4641	+	26.7846i	−0.510948	+	0.884988i
$917$	12.9282	−	14.9282i	0.426927	−	0.492973i
$918$	6.80385	−	25.3923i	0.224560	−	0.838071i
$919$	39.0000	−	22.5167i	1.28649	−	0.742756i	0.308465	−	0.951236i	$-0.400185\pi$
$919$	39.0000	−	22.5167i	1.28649	−	0.742756i	0.978027	+	0.208480i	$0.0668515\pi$
$920$	8.19615	−	5.41154i	0.270219	−	0.178413i
$921$	−1.03590	+	1.79423i	−0.0341340	+	0.0591218i
$922$	16.5885	−	4.44486i	0.546312	−	0.146384i
$923$	46.3923	+	46.3923i	1.52702	+	1.52702i
$924$	4.19615	+	6.19615i	0.138043	+	0.203838i
$925$	−4.73205	+	33.1244i	−0.155589	+	1.08912i
$926$	1.43782	+	0.830127i	0.0472498	+	0.0272797i
$927$	9.09808	−	2.43782i	0.298820	−	0.0800686i
$928$	6.53590	−	24.3923i	0.214551	−	0.800717i
$929$	4.16025	+	7.20577i	0.136494	+	0.236414i	0.926167	−	0.377114i	$-0.123083\pi$
$929$	4.16025	+	7.20577i	0.136494	+	0.236414i	−0.789673	+	0.613527i	$0.789750\pi$
$930$	3.73205	+	62.1769i	0.122379	+	2.03886i
$931$	9.00000	−	22.5167i	0.294963	−	0.737954i
$932$	3.80385	+	14.1962i	0.124599	+	0.465010i
$933$	−46.5167	−	12.4641i	−1.52289	−	0.408056i
$934$	−9.12436			−0.298558
$935$	1.39230	−	6.80385i	0.0455332	−	0.222510i
$936$	7.60770	−	4.39230i	0.248665	−	0.143567i
$937$	−0.392305	−	0.392305i	−0.0128160	−	0.0128160i	0.700670	−	0.713486i	$-0.252885\pi$
$937$	−0.392305	−	0.392305i	−0.0128160	−	0.0128160i	−0.713486	+	0.700670i	$0.752885\pi$
$938$	11.3205	+	9.80385i	0.369628	+	0.320107i
$939$	32.2487			1.05240
$940$	2.78461	−	0.928203i	0.0908240	−	0.0302747i
$941$	−9.73205	+	16.8564i	−0.317256	+	0.549503i	−0.979914	−	0.199418i	$-0.936095\pi$
$941$	−9.73205	+	16.8564i	−0.317256	+	0.549503i	0.662659	+	0.748922i	$0.269428\pi$
$942$	−34.0526	−	34.0526i	−1.10949	−	1.10949i
$943$	0.696152	+	0.186533i	0.0226698	+	0.00607437i
$944$	−30.9282	+	17.8564i	−1.00663	+	0.581177i
$945$	−9.90192	+	23.9545i	−0.322110	+	0.779239i
$946$	3.00000	−	1.73205i	0.0975384	−	0.0563138i
$947$	−5.98334	+	22.3301i	−0.194432	+	0.725632i	0.797981	+	0.602683i	$0.205902\pi$
$947$	−5.98334	+	22.3301i	−0.194432	+	0.725632i	−0.992413	+	0.122949i	$0.960765\pi$
$948$	−12.9282	+	48.2487i	−0.419889	+	1.56705i
$949$	17.7846	−	30.8038i	0.577313	−	0.999935i
$950$	15.1244	−	19.2679i	0.490699	−	0.625135i
$951$		−	8.73205i		−	0.283156i
$952$	31.1769	+	6.00000i	1.01045	+	0.194461i
$953$	3.46410	+	3.46410i	0.112213	+	0.112213i	0.760984	−	0.648771i	$-0.224717\pi$
$953$	3.46410	+	3.46410i	0.112213	+	0.112213i	−0.648771	+	0.760984i	$0.724717\pi$
$954$	2.78461	+	1.60770i	0.0901551	+	0.0520511i
$955$	5.83013	−	3.84936i	0.188658	−	0.124563i
$956$	−4.73205	−	8.19615i	−0.153045	−	0.265083i
$957$	6.09808	+	1.63397i	0.197123	+	0.0528189i
$958$	−1.39230	+	5.19615i	−0.0449833	+	0.167880i
$959$	−18.5885	+	12.5885i	−0.600253	+	0.406502i
$960$	−32.7846	+	10.9282i	−1.05812	+	0.352706i
$961$	36.4808	+	63.1865i	1.17680	+	2.03828i
$962$	28.3923	−	28.3923i	0.915405	−	0.915405i
$963$	1.04552	+	3.90192i	0.0336913	+	0.125738i
$964$	−40.7846			−1.31358
$965$	−8.46410	−	25.3923i	−0.272469	−	0.817407i
$966$	−9.29423	+	6.29423i	−0.299037	+	0.202513i
$967$	−10.5096	+	10.5096i	−0.337967	+	0.337967i	−0.855602	−	0.517635i	$-0.826813\pi$
$967$	−10.5096	+	10.5096i	−0.337967	+	0.337967i	0.517635	+	0.855602i	$0.326813\pi$
$968$	−28.5885	−	7.66025i	−0.918868	−	0.246210i
$969$	14.1962	−	24.5885i	0.456046	−	0.789895i
$970$	12.5359	−	25.0718i	0.402503	−	0.805007i
$971$	10.0000	+	17.3205i	0.320915	+	0.555842i	0.980677	−	0.195633i	$-0.0626762\pi$
$971$	10.0000	+	17.3205i	0.320915	+	0.555842i	−0.659762	+	0.751475i	$0.729343\pi$
$972$	−3.85641	−	14.3923i	−0.123694	−	0.461633i
$973$	−3.16987	+	1.09808i	−0.101621	+	0.0352027i
$974$	13.9282	+	24.1244i	0.446288	+	0.772994i
$975$	37.6865	+	16.0981i	1.20694	+	0.515551i
$976$	−39.7128			−1.27118
$977$	−5.36603	−	20.0263i	−0.171674	−	0.640697i	−0.997094	−	0.0761781i	$-0.975728\pi$
$977$	−5.36603	−	20.0263i	−0.171674	−	0.640697i	0.825420	−	0.564519i	$-0.190938\pi$
$978$	−9.92820	+	2.66025i	−0.317469	+	0.0850655i
$979$		−	12.5885i		−	0.402329i
$980$	−29.7128	−	9.85641i	−0.949141	−	0.314851i
$981$			3.12436i			0.0997530i
$982$	4.46410	+	16.6603i	0.142455	+	0.531650i
$983$	3.27757	+	12.2321i	0.104538	+	0.390142i	0.998292	−	0.0584153i	$-0.0186047\pi$
$983$	3.27757	+	12.2321i	0.104538	+	0.390142i	−0.893754	+	0.448557i	$0.851938\pi$
$984$	−2.19615	−	1.26795i	−0.0700108	−	0.0404207i
$985$	−11.6147	+	13.0981i	−0.370076	+	0.417339i
$986$	23.1962	−	13.3923i	0.738716	−	0.426498i
$987$	−3.16987	+	1.09808i	−0.100898	+	0.0349522i
$988$	−28.3923	+	7.60770i	−0.903280	+	0.242033i
$989$	2.59808	+	4.50000i	0.0826140	+	0.143092i
$990$	−0.535898	−	1.60770i	−0.0170320	−	0.0510959i
$991$	−17.6865	+	30.6340i	−0.561831	+	0.973120i	0.435506	+	0.900186i	$0.356570\pi$
$991$	−17.6865	+	30.6340i	−0.561831	+	0.973120i	−0.997337	+	0.0729342i	$0.976764\pi$
$992$	−40.7846	+	40.7846i	−1.29491	+	1.29491i
$993$	9.92820	−	9.92820i	0.315062	−	0.315062i
$994$	32.4449	+	47.9090i	1.02909	+	1.51958i
$995$	6.92820	+	3.46410i	0.219639	+	0.109819i
$996$	−24.9282			−0.789880
$997$	−3.00000	−	11.1962i	−0.0950110	−	0.354586i	0.902010	−	0.431715i	$-0.142091\pi$
$997$	−3.00000	−	11.1962i	−0.0950110	−	0.354586i	−0.997021	+	0.0771291i	$0.975425\pi$
$998$	−13.5167	−	13.5167i	−0.427862	−	0.427862i
$999$	−14.6603	−	25.3923i	−0.463830	−	0.803377i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.c.213.1	yes	4
5.2	odd	4		280.2.bv.b.157.1	yes	4
7.5	odd	6		280.2.bv.a.173.1	yes	4
8.5	even	2		280.2.bv.d.213.1	yes	4
35.12	even	12		280.2.bv.d.117.1	yes	4
40.37	odd	4		280.2.bv.a.157.1	✓	4
56.5	odd	6		280.2.bv.b.173.1	yes	4
280.117	even	12	inner	280.2.bv.c.117.1	yes	4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.a.157.1	✓	4	40.37	odd	4
280.2.bv.a.173.1	yes	4	7.5	odd	6
280.2.bv.b.157.1	yes	4	5.2	odd	4
280.2.bv.b.173.1	yes	4	56.5	odd	6
280.2.bv.c.117.1	yes	4	280.117	even	12	inner
280.2.bv.c.213.1	yes	4	1.1	even	1	trivial
280.2.bv.d.117.1	yes	4	35.12	even	12
280.2.bv.d.213.1	yes	4	8.5	even	2

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.36603 - 0.366025i) q^{2} +(-1.86603 + 0.500000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(0.133975 + 2.23205i) q^{5} +(-2.36603 + 1.36603i) q^{6} +(0.866025 + 2.50000i) q^{7} +(2.00000 - 2.00000i) q^{8} +(0.633975 - 0.366025i) q^{9} +O(q^{10})\)	\(q+(1.36603 - 0.366025i) q^{2} +(-1.86603 + 0.500000i) q^{3} +(1.73205 - 1.00000i) q^{4} +(0.133975 + 2.23205i) q^{5} +(-2.36603 + 1.36603i) q^{6} +(0.866025 + 2.50000i) q^{7} +(2.00000 - 2.00000i) q^{8} +(0.633975 - 0.366025i) q^{9} +(1.00000 + 3.00000i) q^{10} +(-0.633975 - 0.366025i) q^{11} +(-2.73205 + 2.73205i) q^{12} +(3.00000 + 3.00000i) q^{13} +(2.09808 + 3.09808i) q^{14} +(-1.36603 - 4.09808i) q^{15} +(2.00000 - 3.46410i) q^{16} +(4.09808 - 1.09808i) q^{17} +(0.732051 - 0.732051i) q^{18} +(-3.00000 + 1.73205i) q^{19} +(2.46410 + 3.73205i) q^{20} +(-2.86603 - 4.23205i) q^{21} +(-1.00000 - 0.267949i) q^{22} +(0.401924 - 1.50000i) q^{23} +(-2.73205 + 4.73205i) q^{24} +(-4.96410 + 0.598076i) q^{25} +(5.19615 + 3.00000i) q^{26} +(3.09808 - 3.09808i) q^{27} +(4.00000 + 3.46410i) q^{28} +4.46410 q^{29} +(-3.36603 - 5.09808i) q^{30} +(-8.83013 - 5.09808i) q^{31} +(1.46410 - 5.46410i) q^{32} +(1.36603 + 0.366025i) q^{33} +(5.19615 - 3.00000i) q^{34} +(-5.46410 + 2.26795i) q^{35} +(0.732051 - 1.26795i) q^{36} +(1.73205 - 6.46410i) q^{37} +(-3.46410 + 3.46410i) q^{38} +(-7.09808 - 4.09808i) q^{39} +(4.73205 + 4.19615i) q^{40} +0.464102i q^{41} +(-5.46410 - 4.73205i) q^{42} +(-2.36603 + 2.36603i) q^{43} -1.46410 q^{44} +(0.901924 + 1.36603i) q^{45} -2.19615i q^{46} +(0.169873 - 0.633975i) q^{47} +(-2.00000 + 7.46410i) q^{48} +(-5.50000 + 4.33013i) q^{49} +(-6.56218 + 2.63397i) q^{50} +(-7.09808 + 4.09808i) q^{51} +(8.19615 + 2.19615i) q^{52} +(0.803848 + 3.00000i) q^{53} +(3.09808 - 5.36603i) q^{54} +(0.732051 - 1.46410i) q^{55} +(6.73205 + 3.26795i) q^{56} +(4.73205 - 4.73205i) q^{57} +(6.09808 - 1.63397i) q^{58} +(-7.73205 - 4.46410i) q^{59} +(-6.46410 - 5.73205i) q^{60} +(-4.96410 - 8.59808i) q^{61} +(-13.9282 - 3.73205i) q^{62} +(1.46410 + 1.26795i) q^{63} -8.00000i q^{64} +(-6.29423 + 7.09808i) q^{65} +2.00000 q^{66} +(3.86603 - 1.03590i) q^{67} +(6.00000 - 6.00000i) q^{68} +3.00000i q^{69} +(-6.63397 + 5.09808i) q^{70} +15.4641 q^{71} +(0.535898 - 2.00000i) q^{72} +(-2.16987 - 8.09808i) q^{73} -9.46410i q^{74} +(8.96410 - 3.59808i) q^{75} +(-3.46410 + 6.00000i) q^{76} +(0.366025 - 1.90192i) q^{77} +(-11.1962 - 3.00000i) q^{78} +(11.1962 - 6.46410i) q^{79} +(8.00000 + 4.00000i) q^{80} +(-5.33013 + 9.23205i) q^{81} +(0.169873 + 0.633975i) q^{82} +(4.56218 + 4.56218i) q^{83} +(-9.19615 - 4.46410i) q^{84} +(3.00000 + 9.00000i) q^{85} +(-2.36603 + 4.09808i) q^{86} +(-8.33013 + 2.23205i) q^{87} +(-2.00000 + 0.535898i) q^{88} +(8.59808 + 14.8923i) q^{89} +(1.73205 + 1.53590i) q^{90} +(-4.90192 + 10.0981i) q^{91} +(-0.803848 - 3.00000i) q^{92} +(19.0263 + 5.09808i) q^{93} -0.928203i q^{94} +(-4.26795 - 6.46410i) q^{95} +10.9282i q^{96} +(-6.26795 - 6.26795i) q^{97} +(-5.92820 + 7.92820i) q^{98} -0.535898 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q + 2 q^{2} - 4 q^{3} + 4 q^{5} - 6 q^{6} + 8 q^{8} + 6 q^{9}+O(q^{10}) \) 4 * q + 2 * q^2 - 4 * q^3 + 4 * q^5 - 6 * q^6 + 8 * q^8 + 6 * q^9	\( 4 q + 2 q^{2} - 4 q^{3} + 4 q^{5} - 6 q^{6} + 8 q^{8} + 6 q^{9} + 4 q^{10} - 6 q^{11} - 4 q^{12} + 12 q^{13} - 2 q^{14} - 2 q^{15} + 8 q^{16} + 6 q^{17} - 4 q^{18} - 12 q^{19} - 4 q^{20} - 8 q^{21} - 4 q^{22} + 12 q^{23} - 4 q^{24} - 6 q^{25} + 2 q^{27} + 16 q^{28} + 4 q^{29} - 10 q^{30} - 18 q^{31} - 8 q^{32} + 2 q^{33} - 8 q^{35} - 4 q^{36} - 18 q^{39} + 12 q^{40} - 8 q^{42} - 6 q^{43} + 8 q^{44} + 14 q^{45} + 18 q^{47} - 8 q^{48} - 22 q^{49} - 2 q^{50} - 18 q^{51} + 12 q^{52} + 24 q^{53} + 2 q^{54} - 4 q^{55} + 20 q^{56} + 12 q^{57} + 14 q^{58} - 24 q^{59} - 12 q^{60} - 6 q^{61} - 28 q^{62} - 8 q^{63} + 6 q^{65} + 8 q^{66} + 12 q^{67} + 24 q^{68} - 30 q^{70} + 48 q^{71} + 16 q^{72} - 26 q^{73} + 22 q^{75} - 2 q^{77} - 24 q^{78} + 24 q^{79} + 32 q^{80} - 4 q^{81} + 18 q^{82} - 6 q^{83} - 16 q^{84} + 12 q^{85} - 6 q^{86} - 16 q^{87} - 8 q^{88} + 24 q^{89} - 30 q^{91} - 24 q^{92} + 38 q^{93} - 24 q^{95} - 32 q^{97} + 4 q^{98} - 16 q^{99}+O(q^{100}) \) 4 * q + 2 * q^2 - 4 * q^3 + 4 * q^5 - 6 * q^6 + 8 * q^8 + 6 * q^9 + 4 * q^10 - 6 * q^11 - 4 * q^12 + 12 * q^13 - 2 * q^14 - 2 * q^15 + 8 * q^16 + 6 * q^17 - 4 * q^18 - 12 * q^19 - 4 * q^20 - 8 * q^21 - 4 * q^22 + 12 * q^23 - 4 * q^24 - 6 * q^25 + 2 * q^27 + 16 * q^28 + 4 * q^29 - 10 * q^30 - 18 * q^31 - 8 * q^32 + 2 * q^33 - 8 * q^35 - 4 * q^36 - 18 * q^39 + 12 * q^40 - 8 * q^42 - 6 * q^43 + 8 * q^44 + 14 * q^45 + 18 * q^47 - 8 * q^48 - 22 * q^49 - 2 * q^50 - 18 * q^51 + 12 * q^52 + 24 * q^53 + 2 * q^54 - 4 * q^55 + 20 * q^56 + 12 * q^57 + 14 * q^58 - 24 * q^59 - 12 * q^60 - 6 * q^61 - 28 * q^62 - 8 * q^63 + 6 * q^65 + 8 * q^66 + 12 * q^67 + 24 * q^68 - 30 * q^70 + 48 * q^71 + 16 * q^72 - 26 * q^73 + 22 * q^75 - 2 * q^77 - 24 * q^78 + 24 * q^79 + 32 * q^80 - 4 * q^81 + 18 * q^82 - 6 * q^83 - 16 * q^84 + 12 * q^85 - 6 * q^86 - 16 * q^87 - 8 * q^88 + 24 * q^89 - 30 * q^91 - 24 * q^92 + 38 * q^93 - 24 * q^95 - 32 * q^97 + 4 * q^98 - 16 * q^99

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