LMFDB - Embedded newform 200.2.o.a.29.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [200,2,Mod(29,200)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(200, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 5, 1]))

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

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

chi := DirichletCharacter("200.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 200 = 2^{3} \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	200.o (of order $10$, 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:	$1.59700804043$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$28$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.18
Character	$\chi$	$=$	200.29
Dual form			200.2.o.a.69.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.314378 - 1.37883i) q^{2} +(0.0988780 + 0.0718391i) q^{3} +(-1.80233 - 0.866946i) q^{4} +(-2.13827 + 0.654056i) q^{5} +(0.130139 - 0.113751i) q^{6} -4.12326i q^{7} +(-1.76198 + 2.21256i) q^{8} +(-0.922435 - 2.83896i) q^{9} +O(q^{10})$	\(q+(0.314378 - 1.37883i) q^{2} +(0.0988780 + 0.0718391i) q^{3} +(-1.80233 - 0.866946i) q^{4} +(-2.13827 + 0.654056i) q^{5} +(0.130139 - 0.113751i) q^{6} -4.12326i q^{7} +(-1.76198 + 2.21256i) q^{8} +(-0.922435 - 2.83896i) q^{9} +(0.229604 + 3.15393i) q^{10} +(0.296291 + 0.0962708i) q^{11} +(-0.115930 - 0.215200i) q^{12} +(-1.32691 - 4.08381i) q^{13} +(-5.68526 - 1.29626i) q^{14} +(-0.258415 - 0.0889398i) q^{15} +(2.49681 + 3.12505i) q^{16} +(1.48123 + 2.03874i) q^{17} +(-4.20443 + 0.379371i) q^{18} +(2.96240 + 4.07740i) q^{19} +(4.42091 + 0.674942i) q^{20} +(0.296211 - 0.407699i) q^{21} +(0.225888 - 0.378269i) q^{22} +(6.06625 + 1.97104i) q^{23} +(-0.333170 + 0.0921940i) q^{24} +(4.14442 - 2.79710i) q^{25} +(-6.04802 + 0.545721i) q^{26} +(0.226044 - 0.695692i) q^{27} +(-3.57464 + 7.43148i) q^{28} +(0.365173 - 0.502617i) q^{29} +(-0.203873 + 0.328349i) q^{30} +(-5.55444 + 4.03554i) q^{31} +(5.09385 - 2.46022i) q^{32} +(0.0223807 + 0.0308043i) q^{33} +(3.27675 - 1.40143i) q^{34} +(2.69684 + 8.81665i) q^{35} +(-0.798694 + 5.91646i) q^{36} +(-2.65457 - 8.16992i) q^{37} +(6.55334 - 2.80280i) q^{38} +(0.162175 - 0.499123i) q^{39} +(2.32047 - 5.88349i) q^{40} +(-1.64354 - 5.05830i) q^{41} +(-0.469025 - 0.536596i) q^{42} +2.23204 q^{43} +(-0.450553 - 0.430380i) q^{44} +(3.82926 + 5.46715i) q^{45} +(4.62482 - 7.74466i) q^{46} +(3.74794 - 5.15860i) q^{47} +(0.0223785 + 0.488367i) q^{48} -10.0013 q^{49} +(-2.55380 - 6.59379i) q^{50} +0.307997i q^{51} +(-1.14891 + 8.51074i) q^{52} +(3.81243 + 2.76989i) q^{53} +(-0.888176 - 0.530386i) q^{54} +(-0.696517 - 0.0120623i) q^{55} +(9.12295 + 7.26511i) q^{56} +0.615981i q^{57} +(-0.578221 - 0.661523i) q^{58} +(2.59396 - 0.842829i) q^{59} +(0.388644 + 0.384331i) q^{60} +(-12.9582 - 4.21037i) q^{61} +(3.81812 + 8.92730i) q^{62} +(-11.7058 + 3.80344i) q^{63} +(-1.79083 - 7.79698i) q^{64} +(5.50834 + 7.86443i) q^{65} +(0.0495099 - 0.0211749i) q^{66} +(7.91813 - 5.75286i) q^{67} +(-0.902195 - 4.95865i) q^{68} +(0.458220 + 0.630686i) q^{69} +(13.0045 - 0.946718i) q^{70} +(6.63373 + 4.81969i) q^{71} +(7.90669 + 2.96127i) q^{72} +(7.18083 + 2.33319i) q^{73} +(-12.0994 + 1.09175i) q^{74} +(0.610733 + 0.0211597i) q^{75} +(-1.80435 - 9.91707i) q^{76} +(0.396949 - 1.22168i) q^{77} +(-0.637220 - 0.380524i) q^{78} +(3.65256 + 2.65374i) q^{79} +(-7.38281 - 5.04916i) q^{80} +(-7.17257 + 5.21118i) q^{81} +(-7.49122 + 0.675942i) q^{82} +(5.72321 - 4.15816i) q^{83} +(-0.887324 + 0.478011i) q^{84} +(-4.50074 - 3.39058i) q^{85} +(0.701703 - 3.07759i) q^{86} +(0.0722151 - 0.0234641i) q^{87} +(-0.735065 + 0.485933i) q^{88} +(-2.63206 + 8.10065i) q^{89} +(8.74210 - 3.56114i) q^{90} +(-16.8386 + 5.47119i) q^{91} +(-9.22461 - 8.81159i) q^{92} -0.839121 q^{93} +(-5.93455 - 6.78951i) q^{94} +(-9.00127 - 6.78101i) q^{95} +(0.680410 + 0.122676i) q^{96} +(-0.465272 + 0.640392i) q^{97} +(-3.14417 + 13.7900i) q^{98} -0.929963i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9}+O(q^{10}) $ 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9	$ 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9} - 9 q^{10} - 5 q^{12} - 3 q^{14} - 2 q^{15} - 15 q^{16} - 10 q^{17} - 17 q^{20} - 30 q^{22} - 10 q^{23} - 16 q^{24} - 6 q^{25} - 14 q^{26} + 15 q^{28} - 33 q^{30} - 18 q^{31} - 10 q^{33} + 9 q^{34} + 41 q^{36} + 45 q^{38} - 10 q^{39} - 14 q^{40} - 10 q^{41} + 75 q^{42} - 32 q^{44} + 13 q^{46} - 10 q^{47} - 70 q^{48} - 80 q^{49} - 19 q^{50} - 100 q^{52} + 43 q^{54} - 34 q^{55} + 36 q^{56} - 30 q^{58} - 28 q^{60} + 20 q^{62} + 60 q^{63} - 36 q^{64} + 40 q^{65} + 40 q^{66} + 42 q^{70} + 22 q^{71} - 65 q^{72} - 10 q^{73} + 4 q^{74} - 36 q^{76} - 55 q^{78} + 14 q^{79} - 76 q^{80} - 6 q^{81} + 78 q^{84} - 59 q^{86} - 10 q^{87} + 110 q^{88} + 24 q^{89} + 49 q^{90} + 90 q^{92} + 45 q^{94} - 86 q^{95} + 46 q^{96} - 50 q^{97} + 90 q^{98}+O(q^{100}) $ 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9 - 9 * q^10 - 5 * q^12 - 3 * q^14 - 2 * q^15 - 15 * q^16 - 10 * q^17 - 17 * q^20 - 30 * q^22 - 10 * q^23 - 16 * q^24 - 6 * q^25 - 14 * q^26 + 15 * q^28 - 33 * q^30 - 18 * q^31 - 10 * q^33 + 9 * q^34 + 41 * q^36 + 45 * q^38 - 10 * q^39 - 14 * q^40 - 10 * q^41 + 75 * q^42 - 32 * q^44 + 13 * q^46 - 10 * q^47 - 70 * q^48 - 80 * q^49 - 19 * q^50 - 100 * q^52 + 43 * q^54 - 34 * q^55 + 36 * q^56 - 30 * q^58 - 28 * q^60 + 20 * q^62 + 60 * q^63 - 36 * q^64 + 40 * q^65 + 40 * q^66 + 42 * q^70 + 22 * q^71 - 65 * q^72 - 10 * q^73 + 4 * q^74 - 36 * q^76 - 55 * q^78 + 14 * q^79 - 76 * q^80 - 6 * q^81 + 78 * q^84 - 59 * q^86 - 10 * q^87 + 110 * q^88 + 24 * q^89 + 49 * q^90 + 90 * q^92 + 45 * q^94 - 86 * q^95 + 46 * q^96 - 50 * q^97 + 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/200\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$177$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	0.314378	−	1.37883i	0.222299	−	0.974979i
$2$	0.314378	−	1.37883i	0.222299	−	0.974979i
$3$	0.0988780	+	0.0718391i	0.0570872	+	0.0414763i	0.615963	−	0.787775i	$-0.288767\pi$
$3$	0.0988780	+	0.0718391i	0.0570872	+	0.0414763i	−0.558876	+	0.829251i	$0.688767\pi$
$4$	−1.80233	−	0.866946i	−0.901166	−	0.433473i
$5$	−2.13827	+	0.654056i	−0.956265	+	0.292503i
$5$	−2.13827	+	0.654056i	−0.956265	+	0.292503i
$6$	0.130139	−	0.113751i	0.0531289	−	0.0464387i
$7$		−	4.12326i		−	1.55844i	−0.626748	−	0.779222i	$-0.715614\pi$
$7$		−	4.12326i		−	1.55844i	0.626748	−	0.779222i	$-0.284386\pi$
$8$	−1.76198	+	2.21256i	−0.622955	+	0.782257i
$9$	−0.922435	−	2.83896i	−0.307478	−	0.946321i
$10$	0.229604	+	3.15393i	0.0726073	+	0.997361i
$11$	0.296291	+	0.0962708i	0.0893351	+	0.0290267i	0.353344	−	0.935494i	$-0.385045\pi$
$11$	0.296291	+	0.0962708i	0.0893351	+	0.0290267i	−0.264008	+	0.964520i	$0.585045\pi$
$12$	−0.115930	−	0.215200i	−0.0334662	−	0.0621228i
$13$	−1.32691	−	4.08381i	−0.368019	−	1.13264i	−0.948069	−	0.318064i	$-0.896967\pi$
$13$	−1.32691	−	4.08381i	−0.368019	−	1.13264i	0.580050	−	0.814581i	$-0.303033\pi$
$14$	−5.68526	−	1.29626i	−1.51945	−	0.346441i
$15$	−0.258415	−	0.0889398i	−0.0667224	−	0.0229642i
$16$	2.49681	+	3.12505i	0.624202	+	0.781263i
$17$	1.48123	+	2.03874i	0.359252	+	0.494468i	0.949940	−	0.312432i	$-0.101144\pi$
$17$	1.48123	+	2.03874i	0.359252	+	0.494468i	−0.590688	+	0.806900i	$0.701144\pi$
$18$	−4.20443	+	0.379371i	−0.990995	+	0.0894187i
$19$	2.96240	+	4.07740i	0.679622	+	0.935419i	0.999929	−	0.0118946i	$-0.00378626\pi$
$19$	2.96240	+	4.07740i	0.679622	+	0.935419i	−0.320308	+	0.947314i	$0.603786\pi$
$20$	4.42091	+	0.674942i	0.988546	+	0.150922i
$21$	0.296211	−	0.407699i	0.0646385	−	0.0889673i
$22$	0.225888	−	0.378269i	0.0481595	−	0.0806472i
$23$	6.06625	+	1.97104i	1.26490	+	0.410991i	0.863238	−	0.504797i	$-0.168433\pi$
$23$	6.06625	+	1.97104i	1.26490	+	0.410991i	0.401662	+	0.915788i	$0.368433\pi$
$24$	−0.333170	+	0.0921940i	−0.0680079	+	0.0188190i
$25$	4.14442	−	2.79710i	0.828884	−	0.559420i
$26$	−6.04802	+	0.545721i	−1.18611	+	0.107025i
$27$	0.226044	−	0.695692i	0.0435022	−	0.133886i
$28$	−3.57464	+	7.43148i	−0.675544	+	1.40442i
$29$	0.365173	−	0.502617i	0.0678109	−	0.0933337i	−0.773764	−	0.633473i	$-0.781629\pi$
$29$	0.365173	−	0.502617i	0.0678109	−	0.0933337i	0.841575	+	0.540140i	$0.181629\pi$
$30$	−0.203873	+	0.328349i	−0.0372219	+	0.0599480i
$31$	−5.55444	+	4.03554i	−0.997607	+	0.724804i	−0.961574	−	0.274547i	$-0.911472\pi$
$31$	−5.55444	+	4.03554i	−0.997607	+	0.724804i	−0.0360329	+	0.999351i	$0.511472\pi$
$32$	5.09385	−	2.46022i	0.900474	−	0.434910i
$33$	0.0223807	+	0.0308043i	0.00389597	+	0.00536235i
$34$	3.27675	−	1.40143i	0.561957	−	0.240343i
$35$	2.69684	+	8.81665i	0.455849	+	1.49029i
$36$	−0.798694	+	5.91646i	−0.133116	+	0.986076i
$37$	−2.65457	−	8.16992i	−0.436408	−	1.34313i	−0.891637	−	0.452751i	$-0.850443\pi$
$37$	−2.65457	−	8.16992i	−0.436408	−	1.34313i	0.455229	−	0.890374i	$-0.349557\pi$
$38$	6.55334	−	2.80280i	1.06309	−	0.454674i
$39$	0.162175	−	0.499123i	0.0259688	−	0.0799236i
$40$	2.32047	−	5.88349i	0.366898	−	0.930261i
$41$	−1.64354	−	5.05830i	−0.256678	−	0.789974i	−0.993494	−	0.113881i	$-0.963672\pi$
$41$	−1.64354	−	5.05830i	−0.256678	−	0.789974i	0.736816	−	0.676093i	$-0.236328\pi$
$42$	−0.469025	−	0.536596i	−0.0723721	−	0.0827985i
$43$	2.23204			0.340382			0.170191	−	0.985411i	$-0.445561\pi$
$43$	2.23204			0.340382			0.170191	+	0.985411i	$0.445561\pi$
$44$	−0.450553	−	0.430380i	−0.0679235	−	0.0648823i
$45$	3.82926	+	5.46715i	0.570832	+	0.814995i
$46$	4.62482	−	7.74466i	0.681893	−	1.14189i
$47$	3.74794	−	5.15860i	0.546693	−	0.752459i	−0.442866	−	0.896588i	$-0.646038\pi$
$47$	3.74794	−	5.15860i	0.546693	−	0.752459i	0.989559	+	0.144129i	$0.0460381\pi$
$48$	0.0223785	+	0.488367i	0.00323005	+	0.0704897i
$49$	−10.0013			−1.42875
$50$	−2.55380	−	6.59379i	−0.361162	−	0.932503i
$51$			0.307997i			0.0431283i
$52$	−1.14891	+	8.51074i	−0.159325	+	1.18023i
$53$	3.81243	+	2.76989i	0.523678	+	0.380474i	0.817988	−	0.575236i	$-0.195090\pi$
$53$	3.81243	+	2.76989i	0.523678	+	0.380474i	−0.294310	+	0.955710i	$0.595090\pi$
$54$	−0.888176	−	0.530386i	−0.120865	−	0.0721764i
$55$	−0.696517	−	0.0120623i	−0.0939184	−	0.00162648i
$56$	9.12295	+	7.26511i	1.21910	+	0.970842i
$57$			0.615981i			0.0815887i
$58$	−0.578221	−	0.661523i	−0.0759241	−	0.0868622i
$59$	2.59396	−	0.842829i	0.337705	−	0.109727i	−0.135255	−	0.990811i	$-0.543185\pi$
$59$	2.59396	−	0.842829i	0.337705	−	0.109727i	0.472960	+	0.881084i	$0.343185\pi$
$60$	0.388644	+	0.384331i	0.0501737	+	0.0496169i
$61$	−12.9582	−	4.21037i	−1.65913	−	0.539082i	−0.678437	−	0.734659i	$-0.737342\pi$
$61$	−12.9582	−	4.21037i	−1.65913	−	0.539082i	−0.980688	+	0.195576i	$0.937342\pi$
$62$	3.81812	+	8.92730i	0.484901	+	1.13377i
$63$	−11.7058	+	3.80344i	−1.47479	+	0.479188i
$64$	−1.79083	−	7.79698i	−0.223853	−	0.974623i
$65$	5.50834	+	7.86443i	0.683225	+	0.975462i
$66$	0.0495099	−	0.0211749i	0.00609424	−	0.00260645i
$67$	7.91813	−	5.75286i	0.967354	−	0.702824i	0.0125070	−	0.999922i	$-0.496019\pi$
$67$	7.91813	−	5.75286i	0.967354	−	0.702824i	0.954847	+	0.297098i	$0.0960188\pi$
$68$	−0.902195	−	4.95865i	−0.109407	−	0.601324i
$69$	0.458220	+	0.630686i	0.0551633	+	0.0759257i
$70$	13.0045	−	0.946718i	1.55433	−	0.113154i
$71$	6.63373	+	4.81969i	0.787279	+	0.571992i	0.907155	−	0.420797i	$-0.138250\pi$
$71$	6.63373	+	4.81969i	0.787279	+	0.571992i	−0.119876	+	0.992789i	$0.538250\pi$
$72$	7.90669	+	2.96127i	0.931812	+	0.348989i
$73$	7.18083	+	2.33319i	0.840452	+	0.273079i	0.697441	−	0.716642i	$-0.254322\pi$
$73$	7.18083	+	2.33319i	0.840452	+	0.273079i	0.143011	+	0.989721i	$0.454322\pi$
$74$	−12.0994	+	1.09175i	−1.40653	+	0.126913i
$75$	0.610733	+	0.0211597i	0.0705214	+	0.00244332i
$76$	−1.80435	−	9.91707i	−0.206973	−	1.13757i
$77$	0.396949	−	1.22168i	0.0452366	−	0.139224i
$78$	−0.637220	−	0.380524i	−0.0721510	−	0.0430859i
$79$	3.65256	+	2.65374i	0.410945	+	0.298569i	0.773984	−	0.633205i	$-0.218261\pi$
$79$	3.65256	+	2.65374i	0.410945	+	0.298569i	−0.363040	+	0.931774i	$0.618261\pi$
$80$	−7.38281	−	5.04916i	−0.825424	−	0.564514i
$81$	−7.17257	+	5.21118i	−0.796952	+	0.579020i
$82$	−7.49122	+	0.675942i	−0.827267	+	0.0746453i
$83$	5.72321	−	4.15816i	0.628204	−	0.456417i	−0.227573	−	0.973761i	$-0.573079\pi$
$83$	5.72321	−	4.15816i	0.628204	−	0.456417i	0.855778	+	0.517344i	$0.173079\pi$
$84$	−0.887324	+	0.478011i	−0.0968150	+	0.0521553i
$85$	−4.50074	−	3.39058i	−0.488173	−	0.367760i
$86$	0.701703	−	3.07759i	0.0756666	−	0.331865i
$87$	0.0722151	−	0.0234641i	0.00774227	−	0.00251562i
$88$	−0.735065	+	0.485933i	−0.0783582	+	0.0518007i
$89$	−2.63206	+	8.10065i	−0.278998	+	0.858667i	0.709136	+	0.705072i	$0.249085\pi$
$89$	−2.63206	+	8.10065i	−0.278998	+	0.858667i	−0.988134	+	0.153595i	$0.950915\pi$
$90$	8.74210	−	3.56114i	0.921498	−	0.375377i
$91$	−16.8386	+	5.47119i	−1.76516	+	0.573537i
$92$	−9.22461	−	8.81159i	−0.961732	−	0.918672i
$93$	−0.839121			−0.0870128
$94$	−5.93455	−	6.78951i	−0.612102	−	0.700285i
$95$	−9.00127	−	6.78101i	−0.923511	−	0.695717i
$96$	0.680410	+	0.122676i	0.0694440	+	0.0125206i
$97$	−0.465272	+	0.640392i	−0.0472412	+	0.0650220i	−0.831984	−	0.554799i	$-0.812795\pi$
$97$	−0.465272	+	0.640392i	−0.0472412	+	0.0650220i	0.784743	+	0.619821i	$0.212795\pi$
$98$	−3.14417	+	13.7900i	−0.317610	+	1.39300i
$99$		−	0.929963i		−	0.0934648i
$100$	−9.89456	+	1.44831i	−0.989456	+	0.144831i
$101$			3.69351i			0.367518i	0.982971	+	0.183759i	$0.0588267\pi$
$101$			3.69351i			0.367518i	−0.982971	+	0.183759i	$0.941173\pi$
$102$	0.424676	+	0.0968277i	0.0420491	+	0.00958737i
$103$	−8.55853	+	11.7798i	−0.843297	+	1.16070i	0.142003	+	0.989866i	$0.454646\pi$
$103$	−8.55853	+	11.7798i	−0.843297	+	1.16070i	−0.985300	+	0.170833i	$0.945354\pi$
$104$	11.3737	+	4.25974i	1.11528	+	0.417702i
$105$	−0.366722	+	1.06551i	−0.0357884	+	0.103983i
$106$	5.01775	−	4.38589i	0.487367	−	0.425996i
$107$	−16.7052			−1.61496			−0.807478	−	0.589897i	$-0.799168\pi$
$107$	−16.7052			−1.61496			−0.807478	+	0.589897i	$0.799168\pi$
$108$	−1.01053	+	1.05790i	−0.0972387	+	0.101797i
$109$	13.9033	−	4.51745i	1.33169	−	0.432693i	0.445198	−	0.895432i	$-0.353133\pi$
$109$	13.9033	−	4.51745i	1.33169	−	0.432693i	0.886494	+	0.462739i	$0.153133\pi$
$110$	−0.235602	+	0.956586i	−0.0224637	+	0.0912069i
$111$	0.324441	−	0.998526i	0.0307946	−	0.0947759i
$112$	12.8854	−	10.2950i	1.21756	−	0.972784i
$113$	10.2530	−	3.33141i	0.964523	−	0.313393i	0.215920	−	0.976411i	$-0.430725\pi$
$113$	10.2530	−	3.33141i	0.964523	−	0.313393i	0.748603	+	0.663018i	$0.230725\pi$
$114$	0.849332	+	0.193651i	0.0795472	+	0.0181371i
$115$	−14.2605	−	0.246963i	−1.32980	−	0.0230294i
$116$	−1.09391	+	0.589299i	−0.101567	+	0.0547150i
$117$	−10.3698	+	7.53410i	−0.958688	+	0.696528i
$118$	−0.346632	−	3.84159i	−0.0319100	−	0.353647i
$119$	8.40627	−	6.10751i	0.770601	−	0.559875i
$120$	0.652107	−	0.415047i	0.0595290	−	0.0378885i
$121$	−8.82067	−	6.40859i	−0.801879	−	0.582599i
$122$	−9.87914	+	16.5435i	−0.894415	+	1.49777i
$123$	0.200874	−	0.618225i	0.0181122	−	0.0557435i
$124$	13.5095	−	2.45798i	1.21319	−	0.220733i
$125$	−7.03244	+	8.69165i	−0.629001	+	0.777405i
$126$	1.56425	+	17.3360i	0.139354	+	1.54441i
$127$	−2.12921	−	0.691823i	−0.188937	−	0.0613894i	0.213020	−	0.977048i	$-0.431670\pi$
$127$	−2.12921	−	0.691823i	−0.188937	−	0.0613894i	−0.401957	+	0.915658i	$0.631670\pi$
$128$	−11.3137	+	0.0180392i	−0.999999	+	0.00159446i
$129$	0.220699	+	0.160347i	0.0194315	+	0.0141178i
$130$	12.5754	−	5.12264i	1.10293	−	0.449286i
$131$	−2.08338	−	2.86752i	−0.182026	−	0.250537i	0.708247	−	0.705965i	$-0.249486\pi$
$131$	−2.08338	−	2.86752i	−0.182026	−	0.250537i	−0.890273	+	0.455428i	$0.849486\pi$
$132$	−0.0136317	−	0.0749225i	−0.00118649	−	0.00652117i
$133$	16.8122	−	12.2147i	1.45780	−	1.05915i
$134$	−5.44292	−	12.7263i	−0.470196	−	1.09939i
$135$	−0.0283223	+	1.63542i	−0.00243760	+	0.140755i
$136$	−7.12075	−	0.314918i	−0.610599	−	0.0270040i
$137$	−12.8317	+	4.16928i	−1.09629	+	0.356205i	−0.800673	−	0.599102i	$-0.795524\pi$
$137$	−12.8317	+	4.16928i	−1.09629	+	0.356205i	−0.295614	+	0.955307i	$0.595524\pi$
$138$	1.01366	−	0.433533i	0.0862887	−	0.0369048i
$139$	9.64111	+	3.13259i	0.817749	+	0.265703i	0.687876	−	0.725828i	$-0.258543\pi$
$139$	9.64111	+	3.13259i	0.817749	+	0.265703i	0.129872	+	0.991531i	$0.458543\pi$
$140$	2.78296	−	18.2286i	0.235203	−	1.54059i
$141$	0.741178	−	0.240823i	0.0624184	−	0.0202810i
$142$	8.73102	−	7.63157i	0.732691	−	0.640427i
$143$		−	1.33774i		−	0.111867i
$144$	6.56877	−	9.97100i	0.547397	−	0.830917i
$145$	−0.452099	+	1.31358i	−0.0375448	+	0.109087i
$146$	5.47456	−	9.16762i	0.453078	−	0.758717i
$147$	−0.988904	−	0.718481i	−0.0815634	−	0.0592593i
$148$	−2.29847	+	17.0263i	−0.188933	+	1.39955i
$149$			14.3531i			1.17585i	0.808916	+	0.587925i	$0.200055\pi$
$149$			14.3531i			1.17585i	−0.808916	+	0.587925i	$0.799945\pi$
$150$	0.221177	−	0.835444i	0.0180590	−	0.0682137i
$151$	14.4342			1.17464			0.587321	−	0.809354i	$-0.300183\pi$
$151$	14.4342			1.17464			0.587321	+	0.809354i	$0.300183\pi$
$152$	−14.2412	−	0.629821i	−1.15511	−	0.0510853i
$153$	4.42158	−	6.08578i	0.357463	−	0.492006i
$154$	−1.55970	−	0.931395i	−0.125684	−	0.0750540i
$155$	9.23744	−	12.2620i	0.741969	−	0.984907i
$156$	−0.725006	+	0.758989i	−0.0580469	+	0.0607677i
$157$	19.2873			1.53930			0.769648	−	0.638469i	$-0.220432\pi$
$157$	19.2873			1.53930			0.769648	+	0.638469i	$0.220432\pi$
$158$	4.80733	−	4.20197i	0.382451	−	0.334291i
$159$	0.177979	+	0.547763i	0.0141147	+	0.0434404i
$160$	−9.28292	+	8.59229i	−0.733879	+	0.679280i
$161$	8.12712	−	25.0127i	0.640507	−	1.97128i
$162$	4.93042	+	11.5280i	0.387370	+	0.905727i
$163$	−2.83773	−	8.73364i	−0.222268	−	0.684072i	−0.998557	−	0.0536946i	$-0.982900\pi$
$163$	−2.83773	−	8.73364i	−0.222268	−	0.684072i	0.776289	−	0.630377i	$-0.217100\pi$
$164$	−1.42307	+	10.5416i	−0.111123	+	0.823161i
$165$	−0.0680037	−	0.0512299i	−0.00529408	−	0.00398824i
$166$	−3.93413	−	9.19856i	−0.305348	−	0.713947i
$167$	5.19807	+	7.15453i	0.402239	+	0.553634i	0.961304	−	0.275489i	$-0.0888399\pi$
$167$	5.19807	+	7.15453i	0.402239	+	0.553634i	−0.559065	+	0.829124i	$0.688840\pi$
$168$	0.380140	+	1.37374i	0.0293284	+	0.105987i
$169$	−4.39959	+	3.19649i	−0.338430	+	0.245884i
$170$	−6.08996	+	5.13982i	−0.467079	+	0.394206i
$171$	8.84296	−	12.1713i	0.676238	−	0.930761i
$172$	−4.02287	−	1.93506i	−0.306741	−	0.147547i
$173$	−4.05868	+	12.4913i	−0.308576	+	0.949698i	0.669743	+	0.742593i	$0.266404\pi$
$173$	−4.05868	+	12.4913i	−0.308576	+	0.949698i	−0.978319	+	0.207105i	$0.933596\pi$
$174$	−0.00965013	−	0.106949i	−0.000731574	−	0.00810777i
$175$	−11.5332	−	17.0885i	−0.871825	−	1.29177i
$176$	0.438930	+	1.16629i	0.0330856	+	0.0879128i
$177$	0.317034	+	0.103011i	0.0238297	+	0.00774274i
$178$	10.3419	+	6.17583i	0.775161	+	0.462898i
$179$	−0.375298	+	0.516553i	−0.0280511	+	0.0386090i	−0.822812	−	0.568313i	$-0.807596\pi$
$179$	−0.375298	+	0.516553i	−0.0280511	+	0.0386090i	0.794761	+	0.606922i	$0.207596\pi$
$180$	−2.16187	−	13.1734i	−0.161136	−	0.981887i
$181$	11.7000	+	16.1037i	0.869656	+	1.19698i	0.979180	+	0.202995i	$0.0650676\pi$
$181$	11.7000	+	16.1037i	0.869656	+	1.19698i	−0.109523	+	0.993984i	$0.534932\pi$
$182$	2.25015	+	24.9376i	0.166792	+	1.84849i
$183$	−0.978810	−	1.34722i	−0.0723557	−	0.0995891i
$184$	−15.0497	+	9.94898i	−1.10948	+	0.733448i
$185$	11.0198	+	15.7333i	0.810190	+	1.15673i
$186$	−0.263801	+	1.15700i	−0.0193428	+	0.0848356i
$187$	0.242605	+	0.746661i	0.0177410	+	0.0546013i
$188$	−11.2273	+	6.04825i	−0.818832	+	0.441114i
$189$	−2.86852	−	0.932038i	−0.208654	−	0.0677958i
$190$	−12.1796	+	10.2794i	−0.883605	+	0.745746i
$191$	5.61154	+	17.2706i	0.406037	+	1.24965i	0.920026	+	0.391857i	$0.128167\pi$
$191$	5.61154	+	17.2706i	0.406037	+	1.24965i	−0.513989	+	0.857797i	$0.671833\pi$
$192$	0.383055	−	0.899601i	0.0276446	−	0.0649231i
$193$		−	16.2523i		−	1.16986i	−0.811083	−	0.584932i	$-0.801121\pi$
$193$		−	16.2523i		−	1.16986i	0.811083	−	0.584932i	$-0.198879\pi$
$194$	0.736719	+	0.842856i	0.0528934	+	0.0605135i
$195$	−0.0203198	+	1.17333i	−0.00145513	+	0.0840241i
$196$	18.0256	+	8.67055i	1.28754	+	0.619325i
$197$	−9.32654	−	6.77613i	−0.664488	−	0.482779i	0.203687	−	0.979036i	$-0.434707\pi$
$197$	−9.32654	−	6.77613i	−0.664488	−	0.482779i	−0.868176	+	0.496257i	$0.834707\pi$
$198$	−1.28226	−	0.292360i	−0.0911261	−	0.0207771i
$199$	14.9527			1.05997			0.529983	−	0.848008i	$-0.322198\pi$
$199$	14.9527			1.05997			0.529983	+	0.848008i	$0.322198\pi$
$200$	−1.11366	+	14.0982i	−0.0787476	+	0.996895i
$201$	1.19621			0.0843741
$202$	5.09272	+	1.16116i	0.358323	+	0.0816989i
$203$	−2.07242	−	1.50570i	−0.145455	−	0.105680i
$204$	0.267017	−	0.555114i	0.0186950	−	0.0388658i
$205$	6.82275	+	9.74106i	0.476522	+	0.680345i
$206$	13.5517	+	15.5041i	0.944193	+	1.08022i
$207$		−	19.0400i		−	1.32337i
$208$	9.44908	−	14.3432i	0.655176	−	0.994519i
$209$	0.485199	+	1.49329i	0.0335619	+	0.103293i
$210$	1.35387	+	0.840619i	0.0934257	+	0.0580082i
$211$	−2.07919	−	0.675570i	−0.143137	−	0.0465082i	0.236572	−	0.971614i	$-0.423976\pi$
$211$	−2.07919	−	0.675570i	−0.143137	−	0.0465082i	−0.379710	+	0.925106i	$0.623976\pi$
$212$	−4.46992	−	8.29745i	−0.306996	−	0.569871i
$213$	0.309688	+	0.953122i	0.0212195	+	0.0653068i
$214$	−5.25176	+	23.0337i	−0.359003	+	1.57455i
$215$	−4.77270	+	1.45988i	−0.325496	+	0.0995627i
$216$	1.14097	+	1.72593i	0.0776334	+	0.117435i
$217$	16.6396	+	22.9024i	1.12957	+	1.55471i
$218$	−1.85790	−	20.5904i	−0.125833	−	1.39456i
$219$	0.542411	+	0.746565i	0.0366528	+	0.0504482i
$220$	1.24490	+	0.625584i	0.0839311	+	0.0421768i
$221$	6.36038	−	8.75431i	0.427845	−	0.588879i
$222$	−1.27480	−	0.761263i	−0.0855589	−	0.0510926i
$223$	−18.9624	−	6.16124i	−1.26981	−	0.412587i	−0.404832	−	0.914391i	$-0.632670\pi$
$223$	−18.9624	−	6.16124i	−1.26981	−	0.412587i	−0.864981	+	0.501804i	$0.832670\pi$
$224$	−10.1441	−	21.0033i	−0.677783	−	1.40334i
$225$	−11.7638	−	9.18572i	−0.784255	−	0.612381i
$226$	−1.37011	−	15.1845i	−0.0911386	−	1.01006i
$227$	3.46276	−	10.6573i	0.229832	−	0.707349i	−0.767933	−	0.640530i	$-0.778715\pi$
$227$	3.46276	−	10.6573i	0.229832	−	0.707349i	0.997765	−	0.0668195i	$-0.0212852\pi$
$228$	0.534023	−	1.11020i	0.0353665	−	0.0735250i
$229$	−4.28891	+	5.90318i	−0.283419	+	0.390093i	−0.926863	−	0.375401i	$-0.877505\pi$
$229$	−4.28891	+	5.90318i	−0.283419	+	0.390093i	0.643444	+	0.765494i	$0.277505\pi$
$230$	−4.82370	+	19.5851i	−0.318065	+	1.29140i
$231$	0.127014	−	0.0922812i	0.00835692	−	0.00607166i
$232$	0.468641	+	1.69357i	0.0307678	+	0.111188i
$233$	−6.79487	−	9.35234i	−0.445147	−	0.612692i	0.526199	−	0.850361i	$-0.323617\pi$
$233$	−6.79487	−	9.35234i	−0.445147	−	0.612692i	−0.971346	+	0.237669i	$0.923617\pi$
$234$	7.12819	+	16.6667i	0.465984	+	1.08954i
$235$	−4.64011	+	13.4819i	−0.302687	+	0.879459i
$236$	−5.40587	−	0.729767i	−0.351892	−	0.0475038i
$237$	0.170515	+	0.524792i	0.0110762	+	0.0340889i
$238$	−5.77846	−	13.5109i	−0.374562	−	0.875779i
$239$	−0.177923	+	0.547590i	−0.0115089	+	0.0354207i	−0.956646	−	0.291253i	$-0.905928\pi$
$239$	−0.177923	+	0.547590i	−0.0115089	+	0.0354207i	0.945137	+	0.326674i	$0.105928\pi$
$240$	−0.367271	−	1.02963i	−0.0237072	−	0.0664620i
$241$	0.273524	+	0.841820i	0.0176192	+	0.0542264i	0.959480	−	0.281778i	$-0.0909242\pi$
$241$	0.273524	+	0.841820i	0.0176192	+	0.0542264i	−0.941860	+	0.336005i	$0.890924\pi$
$242$	−11.6094	+	10.1475i	−0.746278	+	0.652304i
$243$	−3.27806			−0.210287
$244$	19.7048	+	18.8225i	1.26147	+	1.20499i
$245$	21.3854	−	6.54138i	1.36626	−	0.417913i
$246$	−0.789276	−	0.471327i	−0.0503224	−	0.0300507i
$247$	12.7205	−	17.5082i	0.809384	−	1.11402i
$248$	0.857975	−	19.4001i	0.0544815	−	1.23191i
$249$	0.864618			0.0547929
$250$	9.77344	+	12.4290i	0.618127	+	0.786079i
$251$			10.4673i			0.660692i	0.943860	+	0.330346i	$0.107165\pi$
$251$			10.4673i			0.660692i	−0.943860	+	0.330346i	$0.892835\pi$
$252$	24.3951	+	3.29322i	1.53675	+	0.207453i
$253$	1.60762	+	1.16800i	0.101070	+	0.0734318i
$254$	−1.62328	+	2.71832i	−0.101854	+	0.170563i
$255$	−0.201448	−	0.658583i	−0.0126151	−	0.0412420i
$256$	−3.53190	+	15.6053i	−0.220744	+	0.975332i
$257$			17.6103i			1.09850i	0.835658	+	0.549250i	$0.185086\pi$
$257$			17.6103i			1.09850i	−0.835658	+	0.549250i	$0.814914\pi$
$258$	0.290474	−	0.253897i	0.0180841	−	0.0158069i
$259$	−33.6867	+	10.9455i	−2.09319	+	0.680118i
$260$	−3.10982	−	18.9497i	−0.192863	−	1.17521i
$261$	−1.76376	−	0.573081i	−0.109174	−	0.0354728i
$262$	−4.60879	+	1.97113i	−0.284732	+	0.121777i
$263$	20.7083	−	6.72853i	1.27693	−	0.414899i	0.409430	−	0.912341i	$-0.365727\pi$
$263$	20.7083	−	6.72853i	1.27693	−	0.414899i	0.867497	+	0.497442i	$0.165727\pi$
$264$	−0.107591	−	0.00475824i	−0.00662175	−	0.000292849i
$265$	−9.96369	−	3.42925i	−0.612064	−	0.210657i
$266$	−11.5567	−	27.0211i	−0.708584	−	1.65677i
$267$	−0.842196	+	0.611891i	−0.0515416	+	0.0374471i
$268$	−19.2585	+	3.50397i	−1.17640	+	0.214039i
$269$	−7.13157	−	9.81576i	−0.434819	−	0.598477i	0.534232	−	0.845338i	$-0.320601\pi$
$269$	−7.13157	−	9.81576i	−0.434819	−	0.598477i	−0.969051	+	0.246861i	$0.920601\pi$
$270$	2.24607	+	0.553193i	0.136691	+	0.0336663i
$271$	−12.7055	−	9.23111i	−0.771806	−	0.560750i	0.130702	−	0.991422i	$-0.458277\pi$
$271$	−12.7055	−	9.23111i	−0.771806	−	0.560750i	−0.902509	+	0.430672i	$0.858277\pi$
$272$	−2.67283	+	9.71929i	−0.162064	+	0.589318i
$273$	−2.05801	−	0.668689i	−0.124557	−	0.0404709i
$274$	1.71471	+	19.0034i	0.103589	+	1.14804i
$275$	1.49723	−	0.429769i	0.0902866	−	0.0259160i
$276$	−0.279094	−	1.53396i	−0.0167995	−	0.0923335i
$277$	0.720234	−	2.21665i	0.0432747	−	0.133186i	−0.927085	−	0.374851i	$-0.877694\pi$
$277$	0.720234	−	2.21665i	0.0432747	−	0.133186i	0.970360	+	0.241666i	$0.0776937\pi$
$278$	7.35025	−	12.3086i	0.440839	−	0.738222i
$279$	16.5803	+	12.0463i	0.992639	+	0.721195i
$280$	−24.2591	−	9.56788i	−1.44976	−	0.571790i
$281$	11.0233	−	8.00887i	0.657592	−	0.477769i	−0.208257	−	0.978074i	$-0.566779\pi$
$281$	11.0233	−	8.00887i	0.657592	−	0.477769i	0.865849	+	0.500305i	$0.166779\pi$
$282$	−0.0990438	−	1.09767i	−0.00589797	−	0.0653650i
$283$	−3.22475	+	2.34292i	−0.191691	+	0.139272i	−0.679491	−	0.733683i	$-0.737800\pi$
$283$	−3.22475	+	2.34292i	−0.191691	+	0.139272i	0.487800	+	0.872955i	$0.337800\pi$
$284$	−7.77778	−	14.4378i	−0.461526	−	0.856724i
$285$	−0.402886	−	1.31714i	−0.0238649	−	0.0780204i
$286$	−1.84451	−	0.420556i	−0.109068	−	0.0248680i
$287$	−20.8567	+	6.77675i	−1.23113	+	0.400019i
$288$	−11.6832	−	12.1919i	−0.688440	−	0.718412i
$289$	3.29087	−	10.1282i	0.193580	−	0.595779i
$290$	1.66907	+	1.03633i	0.0980109	+	0.0608552i
$291$	−0.0920104	+	0.0298960i	−0.00539374	+	0.00175253i
$292$	−10.9195	−	10.4306i	−0.639015	−	0.610403i
$293$	−9.63185			−0.562699			−0.281349	−	0.959605i	$-0.590782\pi$
$293$	−9.63185			−0.562699			−0.281349	+	0.959605i	$0.590782\pi$
$294$	−1.30155	+	1.13765i	−0.0759080	+	0.0663493i
$295$	−4.99534	+	3.49879i	−0.290840	+	0.203708i
$296$	22.7537	+	8.52188i	1.32253	+	0.495324i
$297$	0.133950	−	0.184366i	0.00777255	−	0.0106980i
$298$	19.7904	+	4.51229i	1.14643	+	0.261390i
$299$		−	27.3888i		−	1.58393i
$300$	−1.08240	−	0.567610i	−0.0624924	−	0.0327710i
$301$		−	9.20326i		−	0.530467i
$302$	4.53781	−	19.9023i	0.261121	−	1.14525i
$303$	−0.265339	+	0.365207i	−0.0152433	+	0.0209806i
$304$	−5.34553	+	19.4381i	−0.306587	+	1.11485i
$305$	30.4619	+	0.527541i	1.74425	+	0.0302069i
$306$	−7.00120	−	8.00983i	−0.400232	−	0.457892i
$307$	8.12625			0.463790			0.231895	−	0.972741i	$-0.425507\pi$
$307$	8.12625			0.463790			0.231895	+	0.972741i	$0.425507\pi$
$308$	−1.77457	+	1.85775i	−0.101115	+	0.105855i
$309$	−1.69250	+	0.549927i	−0.0962830	+	0.0312842i
$310$	−14.0031	−	16.5917i	−0.795324	−	0.942347i
$311$	−1.39243	+	4.28546i	−0.0789575	+	0.243006i	−0.982742	−	0.184982i	$-0.940777\pi$
$311$	−1.39243	+	4.28546i	−0.0789575	+	0.243006i	0.903784	+	0.427988i	$0.140777\pi$
$312$	0.818589	+	1.23827i	0.0463435	+	0.0701031i
$313$	1.88964	−	0.613980i	0.106809	−	0.0347042i	−0.255125	−	0.966908i	$-0.582117\pi$
$313$	1.88964	−	0.613980i	0.106809	−	0.0347042i	0.361934	+	0.932204i	$0.382117\pi$
$314$	6.06351	−	26.5939i	0.342184	−	1.50078i
$315$	22.5425	−	15.7890i	1.27012	−	0.889610i
$316$	−4.28247	−	7.94949i	−0.240908	−	0.447194i
$317$	−9.97273	+	7.24561i	−0.560124	+	0.406954i	−0.831504	−	0.555518i	$-0.812520\pi$
$317$	−9.97273	+	7.24561i	−0.560124	+	0.406954i	0.271380	+	0.962472i	$0.412520\pi$
$318$	0.811224	−	0.0731978i	0.0454912	−	0.00410473i
$319$	0.156585	−	0.113766i	0.00876707	−	0.00636965i
$320$	8.92894	+	15.5008i	0.499143	+	0.866520i
$321$	−1.65178	−	1.20009i	−0.0921934	−	0.0669824i
$322$	−31.9332	−	19.0693i	−1.77957	−	1.06269i
$323$	−3.92476	+	12.0792i	−0.218379	+	0.672103i
$324$	17.4452	−	3.17404i	0.969176	−	0.176336i
$325$	−16.9221	−	13.2135i	−0.938669	−	0.732955i
$326$	−12.9343	+	1.16708i	−0.716365	+	0.0646385i
$327$	1.69926	+	0.552122i	0.0939691	+	0.0305324i
$328$	14.0877	+	5.27622i	0.777862	+	0.291330i
$329$	−21.2702	−	15.4537i	−1.17267	−	0.851991i
$330$	−0.0920160	+	0.0776599i	−0.00506532	+	0.00427503i
$331$	15.4091	+	21.2088i	0.846960	+	1.16574i	0.984524	+	0.175247i	$0.0560725\pi$
$331$	15.4091	+	21.2088i	0.846960	+	1.16574i	−0.137565	+	0.990493i	$0.543928\pi$
$332$	−13.9200	+	2.53266i	−0.763961	+	0.138998i
$333$	−20.7454	+	15.0724i	−1.13684	+	0.825964i
$334$	11.4990	−	4.91802i	0.629199	−	0.269102i
$335$	−13.1684	+	17.4801i	−0.719469	+	0.955039i
$336$	2.01366	−	0.0922722i	0.109854	−	0.00503386i
$337$	−24.2182	+	7.86898i	−1.31925	+	0.428651i	−0.882238	−	0.470805i	$-0.843964\pi$
$337$	−24.2182	+	7.86898i	−1.31925	+	0.428651i	−0.437013	+	0.899455i	$0.643964\pi$
$338$	3.02427	+	7.07118i	0.164499	+	0.384622i
$339$	1.25312	+	0.407164i	0.0680603	+	0.0221141i
$340$	5.17237	+	10.0129i	0.280511	+	0.543023i
$341$	−2.03423	+	0.660963i	−0.110160	+	0.0357931i
$342$	−14.0021	−	16.0193i	−0.757145	−	0.866224i
$343$			12.3749i			0.668184i
$344$	−3.93281	+	4.93851i	−0.212043	+	0.266267i
$345$	−1.39230	−	1.04888i	−0.0749591	−	0.0564697i
$346$	15.9474	+	9.52322i	0.857339	+	0.511971i
$347$	21.6770	+	15.7492i	1.16368	+	0.845463i	0.990239	−	0.139381i	$-0.0445112\pi$
$347$	21.6770	+	15.7492i	1.16368	+	0.845463i	0.173442	+	0.984844i	$0.444511\pi$
$348$	−0.150498	−	0.0203165i	−0.00806753	−	0.00108908i
$349$		−	9.22396i		−	0.493747i	−0.969048	−	0.246874i	$-0.920597\pi$
$349$		−	9.22396i		−	0.493747i	0.969048	−	0.246874i	$-0.0794032\pi$
$350$	−27.1879	+	10.5300i	−1.45325	+	0.562852i
$351$	−3.14101			−0.167655
$352$	1.74611	−	0.238552i	0.0930680	−	0.0127149i
$353$	−8.49553	+	11.6931i	−0.452172	+	0.622361i	−0.972862	−	0.231384i	$-0.925674\pi$
$353$	−8.49553	+	11.6931i	−0.452172	+	0.622361i	0.520691	+	0.853745i	$0.325674\pi$
$354$	0.241702	−	0.404751i	0.0128463	−	0.0215123i
$355$	−17.3371	−	5.96697i	−0.920156	−	0.316694i
$356$	11.7667	−	12.3182i	0.623633	−	0.652864i
$357$	1.26995			0.0672130
$358$	0.594252	+	0.679864i	0.0314072	+	0.0359319i
$359$	−0.995352	−	3.06338i	−0.0525327	−	0.161679i	0.921348	−	0.388738i	$-0.127089\pi$
$359$	−0.995352	−	3.06338i	−0.0525327	−	0.161679i	−0.973881	+	0.227059i	$0.927089\pi$
$360$	−18.8435	−	1.16058i	−0.993139	−	0.0611680i
$361$	−1.97802	+	6.08771i	−0.104106	+	0.320406i
$362$	25.8825	−	11.0697i	1.36035	−	0.581809i
$363$	−0.411783	−	1.26734i	−0.0216130	−	0.0665179i
$364$	35.0920	+	4.73725i	1.83932	+	0.248300i
$365$	−16.8806	−	0.292339i	−0.883571	−	0.0153017i
$366$	−2.16530	+	0.926075i	−0.113182	+	0.0484067i
$367$	5.30006	+	7.29490i	0.276661	+	0.380791i	0.924624	−	0.380881i	$-0.124379\pi$
$367$	5.30006	+	7.29490i	0.276661	+	0.380791i	−0.647964	+	0.761671i	$0.724379\pi$
$368$	8.98664	+	23.8787i	0.468461	+	1.24476i
$369$	−12.8443	+	9.33191i	−0.668646	+	0.485800i
$370$	25.1579	−	10.2482i	1.30789	−	0.532777i
$371$	11.4210	−	15.7196i	0.592948	−	0.816123i
$372$	1.51237	+	0.727473i	0.0784130	+	0.0377177i
$373$	2.96932	−	9.13862i	0.153746	−	0.473180i	−0.844286	−	0.535893i	$-0.819975\pi$
$373$	2.96932	−	9.13862i	0.153746	−	0.473180i	0.998032	+	0.0627126i	$0.0199752\pi$
$374$	1.10579	−	0.0997766i	0.0571789	−	0.00515932i
$375$	−1.31975	+	0.354208i	−0.0681518	+	0.0182912i
$376$	4.80988	+	17.3819i	0.248051	+	0.896403i
$377$	−2.53715	−	0.824369i	−0.130670	−	0.0424571i
$378$	−2.18692	+	3.66218i	−0.112483	+	0.188362i
$379$	0.875430	−	1.20493i	0.0449678	−	0.0618929i	−0.785941	−	0.618302i	$-0.787821\pi$
$379$	0.875430	−	1.20493i	0.0449678	−	0.0618929i	0.830909	+	0.556409i	$0.187821\pi$
$380$	10.3445	+	20.0253i	0.530662	+	1.02727i
$381$	−0.160832	−	0.221367i	−0.00823969	−	0.0113410i
$382$	25.5773	−	2.30787i	1.30865	−	0.118081i
$383$	7.26441	+	9.99860i	0.371194	+	0.510905i	0.953225	−	0.302262i	$-0.0977418\pi$
$383$	7.26441	+	9.99860i	0.371194	+	0.510905i	−0.582031	+	0.813167i	$0.697742\pi$
$384$	−1.11997	−	0.810982i	−0.0571533	−	0.0413852i
$385$	−0.0497360	+	2.87192i	−0.00253478	+	0.146367i
$386$	−22.4091	−	5.10935i	−1.14059	−	0.260059i
$387$	−2.05891	−	6.33667i	−0.104660	−	0.322111i
$388$	1.39376	−	0.750834i	0.0707575	−	0.0381178i
$389$	−11.0661	−	3.59560i	−0.561074	−	0.182304i	0.0147301	−	0.999892i	$-0.495311\pi$
$389$	−11.0661	−	3.59560i	−0.561074	−	0.182304i	−0.575805	+	0.817587i	$0.695311\pi$
$390$	1.61144	+	0.396887i	0.0815982	+	0.0200972i
$391$	4.96708	+	15.2871i	0.251196	+	0.773102i
$392$	17.6220	−	22.1283i	0.890048	−	1.11765i
$393$		−	0.433203i		−	0.0218522i
$394$	−12.2752	+	10.7294i	−0.618414	+	0.540541i
$395$	−9.54585	−	3.28544i	−0.480304	−	0.165308i
$396$	−0.806228	+	1.67610i	−0.0405145	+	0.0842273i
$397$	2.73979	+	1.99057i	0.137506	+	0.0999040i	0.654412	−	0.756138i	$-0.272916\pi$
$397$	2.73979	+	1.99057i	0.137506	+	0.0999040i	−0.516906	+	0.856042i	$0.672916\pi$
$398$	4.70079	−	20.6171i	0.235629	−	1.03344i
$399$	2.53985			0.127151
$400$	19.0889	+	5.96771i	0.954445	+	0.298386i
$401$	3.08560			0.154088			0.0770439	−	0.997028i	$-0.475452\pi$
$401$	3.08560			0.154088			0.0770439	+	0.997028i	$0.475452\pi$
$402$	0.376062	−	1.64937i	0.0187563	−	0.0822629i
$403$	23.8506	+	17.3285i	1.18808	+	0.863193i
$404$	3.20208	−	6.65694i	0.159309	−	0.331195i
$405$	11.9285	−	15.8342i	0.592732	−	0.786807i
$406$	−2.72763	+	2.38415i	−0.135370	+	0.118323i
$407$		−	2.67623i		−	0.132656i
$408$	−0.681462	−	0.542687i	−0.0337374	−	0.0268670i
$409$	3.02158	+	9.29945i	0.149407	+	0.459828i	0.997551	−	0.0699372i	$-0.0222799\pi$
$409$	3.02158	+	9.29945i	0.149407	+	0.459828i	−0.848144	+	0.529766i	$0.822280\pi$
$410$	15.5762	−	6.34503i	0.769252	−	0.313359i
$411$	−1.56829	−	0.509568i	−0.0773581	−	0.0251352i
$412$	25.6378	−	13.8113i	1.26308	−	0.680436i
$413$	−3.47520	−	10.6956i	−0.171003	−	0.526295i
$414$	−26.2529	−	5.98576i	−1.29026	−	0.294184i
$415$	−9.51812	+	12.6346i	−0.467226	+	0.620207i
$416$	−16.8062	−	17.5378i	−0.823989	−	0.859863i
$417$	0.728252	+	1.00235i	0.0356626	+	0.0490854i
$418$	2.21152	−	0.199549i	0.108169	−	0.00976024i
$419$	22.2630	+	30.6425i	1.08762	+	1.49698i	0.850844	+	0.525418i	$0.176091\pi$
$419$	22.2630	+	30.6425i	1.08762	+	1.49698i	0.236776	+	0.971564i	$0.423909\pi$
$420$	1.58470	−	1.60248i	0.0773252	−	0.0781929i
$421$	8.76743	−	12.0673i	0.427298	−	0.588126i	−0.540032	−	0.841644i	$-0.681588\pi$
$421$	8.76743	−	12.0673i	0.427298	−	0.588126i	0.967331	+	0.253519i	$0.0815879\pi$
$422$	−1.58515	+	2.65446i	−0.0771638	+	0.129217i
$423$	−18.1023	−	5.88179i	−0.880164	−	0.285983i
$424$	−12.8460	+	3.55472i	−0.623857	+	0.172632i
$425$	11.8414	+	4.30626i	0.574394	+	0.208884i
$426$	1.41155	−	0.127366i	0.0683898	−	0.00617090i
$427$	−17.3604	+	53.4299i	−0.840130	+	2.58566i
$428$	30.1084	+	14.4826i	1.45534	+	0.700041i
$429$	0.0961019	−	0.132273i	0.00463984	−	0.00638620i
$430$	0.512485	+	7.03969i	0.0247142	+	0.339484i
$431$	−7.25169	+	5.26866i	−0.349302	+	0.253782i	−0.748576	−	0.663049i	$-0.769262\pi$
$431$	−7.25169	+	5.26866i	−0.349302	+	0.253782i	0.399274	+	0.916831i	$0.369262\pi$
$432$	2.73846	−	1.03061i	0.131754	−	0.0495852i
$433$	16.5255	+	22.7455i	0.794167	+	1.09308i	0.993577	+	0.113161i	$0.0360974\pi$
$433$	16.5255	+	22.7455i	0.794167	+	1.09308i	−0.199410	+	0.979916i	$0.563903\pi$
$434$	36.8095	−	15.7431i	1.76691	−	0.755692i
$435$	−0.139069	+	0.0974054i	−0.00666784	+	0.00467023i
$436$	−28.9747	−	3.91145i	−1.38764	−	0.187325i
$437$	9.93394	+	30.5735i	0.475205	+	1.46253i
$438$	1.19991	−	0.513188i	0.0573338	−	0.0245211i
$439$	−1.43731	+	4.42358i	−0.0685991	+	0.211126i	−0.979479	−	0.201544i	$-0.935404\pi$
$439$	−1.43731	+	4.42358i	−0.0685991	+	0.211126i	0.910880	+	0.412671i	$0.135404\pi$
$440$	1.25394	−	1.51983i	0.0597793	−	0.0724551i
$441$	9.22550	+	28.3932i	0.439310	+	1.35206i
$442$	−10.0711	−	11.5220i	−0.479035	−	0.548047i
$443$	−33.9122			−1.61122			−0.805609	−	0.592448i	$-0.798162\pi$
$443$	−33.9122			−1.61122			−0.805609	+	0.592448i	$0.798162\pi$
$444$	−1.45042	+	1.51840i	−0.0688339	+	0.0720603i
$445$	0.329786	−	19.0429i	0.0156334	−	0.902721i
$446$	−14.4566	+	24.2089i	−0.684542	+	1.14632i
$447$	−1.03111	+	1.41920i	−0.0487699	+	0.0671260i
$448$	−32.1490	+	7.38403i	−1.51890	+	0.348863i
$449$	6.81383			0.321565			0.160782	−	0.986990i	$-0.448598\pi$
$449$	6.81383			0.321565			0.160782	+	0.986990i	$0.448598\pi$
$450$	−16.3638	+	13.3325i	−0.771397	+	0.628500i
$451$		−	1.65695i		−	0.0780229i
$452$	−21.3675	−	2.88451i	−1.00504	−	0.135676i
$453$	1.42723	+	1.03694i	0.0670570	+	0.0487198i
$454$	−13.6060	−	8.12497i	−0.638559	−	0.381324i
$455$	32.4271	−	22.7123i	1.52020	−	1.06477i
$456$	−1.36289	−	1.08535i	−0.0638233	−	0.0508261i
$457$		−	41.0652i		−	1.92095i	−0.278365	−	0.960475i	$-0.589792\pi$
$457$		−	41.0652i		−	1.92095i	0.278365	−	0.960475i	$-0.410208\pi$
$458$	6.79112	+	7.76949i	0.317328	+	0.363045i
$459$	1.75316	−	0.569637i	0.0818306	−	0.0265884i
$460$	25.4880	+	12.8082i	1.18838	+	0.597184i
$461$	23.5979	+	7.66744i	1.09907	+	0.357108i	0.801743	−	0.597669i	$-0.203906\pi$
$461$	23.5979	+	7.66744i	1.09907	+	0.357108i	0.297323	+	0.954777i	$0.403906\pi$
$462$	−0.0873094	−	0.204142i	−0.00406200	−	0.00949754i
$463$	−18.4536	+	5.99593i	−0.857610	+	0.278654i	−0.704630	−	0.709575i	$-0.748887\pi$
$463$	−18.4536	+	5.99593i	−0.857610	+	0.278654i	−0.152980	+	0.988229i	$0.548887\pi$
$464$	2.48247	−	0.113754i	0.115246	−	0.00528092i
$465$	1.79427	−	0.548832i	0.0832072	−	0.0254515i
$466$	−15.0314	+	6.42879i	−0.696318	+	0.297808i
$467$	−0.0546334	+	0.0396935i	−0.00252813	+	0.00183679i	−0.589049	−	0.808098i	$-0.700497\pi$
$467$	−0.0546334	+	0.0396935i	−0.00252813	+	0.00183679i	0.586520	+	0.809934i	$0.300497\pi$
$468$	25.2215	−	4.58889i	1.16586	−	0.212122i
$469$	−23.7205	−	32.6485i	−1.09531	−	1.50757i
$470$	17.1304	+	10.6363i	0.790167	+	0.490616i
$471$	1.90709	+	1.38558i	0.0878741	+	0.0638443i
$472$	−2.70571	+	7.22434i	−0.124540	+	0.332527i
$473$	0.661332	+	0.214880i	0.0304081	+	0.00988019i
$474$	0.777205	−	0.0701281i	0.0356982	−	0.00322109i
$475$	23.6823	+	8.61232i	1.08662	+	0.395160i
$476$	−20.4458	+	3.71998i	−0.937131	+	0.170505i
$477$	4.34691	−	13.3784i	0.199031	−	0.612555i
$478$	0.699098	+	0.417475i	0.0319760	+	0.0190949i
$479$	−29.8640	−	21.6974i	−1.36452	−	0.991381i	−0.998143	−	0.0609142i	$-0.980598\pi$
$479$	−29.8640	−	21.6974i	−1.36452	−	0.991381i	−0.366376	−	0.930467i	$-0.619402\pi$
$480$	−1.53514	+	0.182711i	−0.0700692	+	0.00833960i
$481$	−29.8420	+	21.6815i	−1.36068	+	0.988591i
$482$	1.24672	−	0.112493i	0.0567863	−	0.00512390i
$483$	2.60048	−	1.88936i	0.118326	−	0.0859689i
$484$	10.3419	+	19.1975i	0.470085	+	0.872612i
$485$	0.576027	−	1.67365i	0.0261560	−	0.0759964i
$486$	−1.03055	+	4.51988i	−0.0467467	+	0.205026i
$487$	−5.62357	+	1.82721i	−0.254828	+	0.0827987i	−0.433645	−	0.901084i	$-0.642773\pi$
$487$	−5.62357	+	1.82721i	−0.254828	+	0.0827987i	0.178817	+	0.983882i	$0.442773\pi$
$488$	32.1478	−	21.2521i	1.45526	−	0.962039i
$489$	0.346827	−	1.06743i	0.0156841	−	0.0482706i
$490$	−2.29633	−	31.5433i	−0.103738	−	1.42498i
$491$	33.7674	−	10.9717i	1.52390	−	0.495146i	0.577020	−	0.816730i	$-0.304215\pi$
$491$	33.7674	−	10.9717i	1.52390	−	0.495146i	0.946881	+	0.321584i	$0.104215\pi$
$492$	−0.898009	+	0.940101i	−0.0404854	+	0.0423830i
$493$	1.56562			0.0705118
$494$	−20.1418	−	23.0435i	−0.906222	−	1.03678i
$495$	0.608248	+	1.98851i	0.0273387	+	0.0893771i
$496$	−26.4796	−	7.28195i	−1.18897	−	0.326969i
$497$	19.8728	−	27.3526i	0.891417	−	1.22693i
$498$	0.271817	−	1.19216i	0.0121804	−	0.0534219i
$499$		−	24.7413i		−	1.10757i	−0.832658	−	0.553787i	$-0.813182\pi$
$499$		−	24.7413i		−	1.10757i	0.832658	−	0.553787i	$-0.186818\pi$
$500$	20.2100	−	9.56849i	0.903819	−	0.427916i
$501$			1.08085i			0.0482888i
$502$	14.4327	+	3.29070i	0.644161	+	0.146871i
$503$	7.29652	−	10.0428i	0.325336	−	0.447786i	−0.614751	−	0.788721i	$-0.710744\pi$
$503$	7.29652	−	10.0428i	0.325336	−	0.447786i	0.940087	+	0.340935i	$0.110744\pi$
$504$	12.2101	−	32.6013i	0.543879	−	1.45218i
$505$	−2.41577	−	7.89774i	−0.107500	−	0.351445i
$506$	2.11588	−	1.84944i	0.0940623	−	0.0822175i
$507$	−0.664655			−0.0295184
$508$	3.23778	+	3.09281i	0.143653	+	0.137221i
$509$	20.9803	−	6.81693i	0.929937	−	0.302155i	0.195400	−	0.980724i	$-0.437399\pi$
$509$	20.9803	−	6.81693i	0.929937	−	0.302155i	0.734537	+	0.678569i	$0.237399\pi$
$510$	−0.971403	+	0.0707176i	−0.0430144	+	0.00313143i
$511$	9.62035	−	29.6084i	0.425579	−	1.30980i
$512$	20.4067	+	9.77585i	0.901856	+	0.432036i
$513$	3.50625	−	1.13925i	0.154805	−	0.0502990i
$514$	24.2816	+	5.53629i	1.07101	+	0.244195i
$515$	10.5958	−	30.7862i	0.466908	−	1.35660i
$516$	−0.258761	−	0.480334i	−0.0113913	−	0.0211455i
$517$	1.60710	−	1.16763i	0.0706803	−	0.0513523i
$518$	4.50156	+	49.8891i	0.197787	+	2.19200i
$519$	−1.29868	+	0.943546i	−0.0570057	+	0.0414171i
$520$	−27.1061	−	1.66948i	−1.18868	−	0.0732115i
$521$	−30.0779	−	21.8528i	−1.31773	−	0.957390i	−0.999957	−	0.00922497i	$-0.997064\pi$
$521$	−30.0779	−	21.8528i	−1.31773	−	0.957390i	−0.317777	−	0.948165i	$-0.602936\pi$
$522$	−1.34467	+	2.25176i	−0.0588545	+	0.0985568i
$523$	−1.73482	+	5.33924i	−0.0758585	+	0.233469i	−0.981795	−	0.189946i	$-0.939169\pi$
$523$	−1.73482	+	5.33924i	−0.0758585	+	0.233469i	0.905936	+	0.423415i	$0.139169\pi$
$524$	1.26895	+	6.97441i	0.0554344	+	0.304678i
$525$	0.0872471	−	2.51821i	0.00380777	−	0.109904i
$526$	−2.76725	−	30.6685i	−0.120658	−	1.33721i
$527$	−16.4549	−	5.34651i	−0.716785	−	0.232897i
$528$	−0.0403850	+	0.146853i	−0.00175753	+	0.00639097i
$529$	14.3070	+	10.3946i	0.622041	+	0.451940i
$530$	−7.86070	+	12.6601i	−0.341447	+	0.549921i
$531$	−4.78552	−	6.58671i	−0.207674	−	0.285839i
$532$	−40.8906	+	7.43980i	−1.77283	+	0.322556i
$533$	−18.4763	+	13.4238i	−0.800298	+	0.581450i
$534$	0.578925	+	1.35361i	0.0250525	+	0.0585764i
$535$	35.7204	−	10.9262i	1.54433	−	0.472379i
$536$	−1.22309	+	27.6558i	−0.0528293	+	1.19455i
$537$	−0.0742173	+	0.0241147i	−0.00320271	+	0.00104063i
$538$	−15.7763	+	6.74734i	−0.680162	+	0.290899i
$539$	−2.96328	−	0.962828i	−0.127638	−	0.0414720i
$540$	1.46887	−	2.92303i	0.0632102	−	0.125787i
$541$	−24.9767	+	8.11542i	−1.07383	+	0.348909i	−0.791979	−	0.610549i	$-0.790949\pi$
$541$	−24.9767	+	8.11542i	−1.07383	+	0.348909i	−0.281853	+	0.959458i	$0.590949\pi$
$542$	−16.7225	+	14.6167i	−0.718291	+	0.627841i
$543$			2.43282i			0.104402i
$544$	12.5609	+	6.74090i	0.538546	+	0.289014i
$545$	−26.7743	+	18.7531i	−1.14689	+	0.803293i
$546$	−1.56900	+	2.62742i	−0.0671470	+	0.112443i
$547$	25.9886	+	18.8818i	1.11119	+	0.807327i	0.982851	−	0.184403i	$-0.0590352\pi$
$547$	25.9886	+	18.8818i	1.11119	+	0.807327i	0.128340	+	0.991730i	$0.459035\pi$
$548$	26.7416	+	3.60998i	1.14234	+	0.154211i
$549$			40.6716i			1.73582i
$550$	−0.121880	−	2.19954i	−0.00519697	−	0.0937886i
$551$	3.13116			0.133392
$552$	−2.20281	−	0.0974199i	−0.0937577	−	0.00414647i
$553$	10.9420	−	15.0604i	0.465303	−	0.640434i
$554$	−2.82996	−	1.68995i	−0.120233	−	0.0717989i
$555$	−0.0406510	+	2.34732i	−0.00172554	+	0.0996384i
$556$	−14.6607	−	14.0043i	−0.621753	−	0.593914i
$557$	−10.0696			−0.426664			−0.213332	−	0.976980i	$-0.568432\pi$
$557$	−10.0696			−0.426664			−0.213332	+	0.976980i	$0.568432\pi$
$558$	21.8223	−	19.0743i	0.923812	−	0.807481i
$559$	−2.96171	−	9.11521i	−0.125267	−	0.385532i
$560$	−20.8190	+	30.4412i	−0.879763	+	1.28638i
$561$	−0.0296512	+	0.0912569i	−0.00125187	+	0.00385287i
$562$	−7.57738	−	17.7170i	−0.319632	−	0.747346i
$563$	8.80460	+	27.0978i	0.371069	+	1.14203i	0.946092	+	0.323897i	$0.104993\pi$
$563$	8.80460	+	27.0978i	0.371069	+	1.14203i	−0.575023	+	0.818137i	$0.695007\pi$
$564$	−1.54463	−	0.208518i	−0.0650406	−	0.00878018i
$565$	−19.7448	+	13.8295i	−0.830671	+	0.581812i
$566$	2.21669	+	5.18294i	0.0931744	+	0.217855i
$567$	21.4870	+	29.5744i	0.902370	+	1.24201i
$568$	−22.3524	+	6.18530i	−0.937884	+	0.259529i
$569$	21.6286	−	15.7141i	0.906718	−	0.658769i	−0.0334647	−	0.999440i	$-0.510654\pi$
$569$	21.6286	−	15.7141i	0.906718	−	0.658769i	0.940183	+	0.340671i	$0.110654\pi$
$570$	−1.94276	+	0.141432i	−0.0813733	+	0.00592394i
$571$	−16.2766	+	22.4028i	−0.681155	+	0.937529i	−0.999947	−	0.0102955i	$-0.996723\pi$
$571$	−16.2766	+	22.4028i	−0.681155	+	0.937529i	0.318792	+	0.947825i	$0.396723\pi$
$572$	−1.15975	+	2.41105i	−0.0484915	+	0.100811i
$573$	−0.685842	+	2.11081i	−0.0286515	+	0.0881802i
$574$	2.78708	+	30.8882i	0.116331	+	1.28925i
$575$	30.6543	−	8.79907i	1.27837	−	0.366946i
$576$	−20.4834	+	12.2763i	−0.853476	+	0.511512i
$577$	−3.37588	−	1.09689i	−0.140540	−	0.0456641i	0.237902	−	0.971289i	$-0.423540\pi$
$577$	−3.37588	−	1.09689i	−0.140540	−	0.0456641i	−0.378442	+	0.925625i	$0.623540\pi$
$578$	−12.9305	−	7.72163i	−0.537839	−	0.321178i
$579$	1.16755	−	1.60699i	0.0485216	−	0.0667843i
$580$	1.95363	−	1.97556i	0.0811203	−	0.0820305i
$581$	−17.1452	−	23.5983i	−0.711301	−	0.979022i
$582$	0.0122954	+	0.136265i	0.000509660	+	0.00564837i
$583$	0.862930	+	1.18772i	0.0357389	+	0.0491904i
$584$	−17.8148	+	11.7769i	−0.737183	+	0.487333i
$585$	17.2457	−	22.8924i	0.713023	−	0.946484i
$586$	−3.02804	+	13.2807i	−0.125087	+	0.548619i
$587$	−14.4792	−	44.5624i	−0.597620	−	1.83929i	−0.541224	−	0.840878i	$-0.682039\pi$
$587$	−14.4792	−	44.5624i	−0.597620	−	1.83929i	−0.0563961	−	0.998408i	$-0.517961\pi$
$588$	1.15945	+	2.15227i	0.0478149	+	0.0887580i
$589$	−32.9090	−	10.6928i	−1.35599	−	0.440588i
$590$	3.25381	+	7.98766i	0.133957	+	0.328847i
$591$	−0.435399	−	1.34002i	−0.0179099	−	0.0551210i
$592$	18.9035	−	28.6944i	0.776928	−	1.17933i
$593$			9.84501i			0.404286i	0.979356	+	0.202143i	$0.0647906\pi$
$593$			9.84501i			0.404286i	−0.979356	+	0.202143i	$0.935209\pi$
$594$	−0.212098	−	0.242654i	−0.00870248	−	0.00995622i
$595$	−13.9802	+	18.5577i	−0.573134	+	0.760791i
$596$	12.4433	−	25.8690i	0.509699	−	1.05964i
$597$	1.47849	+	1.07418i	0.0605105	+	0.0439635i
$598$	−37.7644	−	8.61044i	−1.54430	−	0.352107i
$599$	−30.6535			−1.25247			−0.626235	−	0.779634i	$-0.715405\pi$
$599$	−30.6535			−1.25247			−0.626235	+	0.779634i	$0.715405\pi$
$600$	−1.12292	+	1.31400i	−0.0458430	+	0.0536438i
$601$	19.2818			0.786520			0.393260	−	0.919427i	$-0.371347\pi$
$601$	19.2818			0.786520			0.393260	+	0.919427i	$0.371347\pi$
$602$	−12.6897	−	2.89330i	−0.517194	−	0.117922i
$603$	−23.6361	−	17.1726i	−0.962537	−	0.699324i
$604$	−26.0153	−	12.5137i	−1.05855	−	0.509175i
$605$	23.0526	+	7.93410i	0.937220	+	0.322567i
$606$	0.420141	+	0.480670i	0.0170671	+	0.0195259i
$607$			7.58873i			0.308017i	0.988070	+	0.154009i	$0.0492183\pi$
$607$			7.58873i			0.308017i	−0.988070	+	0.154009i	$0.950782\pi$
$608$	25.1213	+	13.4815i	1.01880	+	0.546747i
$609$	−0.0967486	−	0.297762i	−0.00392045	−	0.0120659i
$610$	10.3040	−	41.8359i	0.417195	−	1.69389i
$611$	−26.0399	−	8.46088i	−1.05346	−	0.342291i
$612$	−13.2452	+	7.13533i	−0.535406	+	0.288429i
$613$	9.10557	+	28.0241i	0.367771	+	1.13188i	0.948228	+	0.317591i	$0.102874\pi$
$613$	9.10557	+	28.0241i	0.367771	+	1.13188i	−0.580457	+	0.814291i	$0.697126\pi$
$614$	2.55472	−	11.2047i	0.103100	−	0.452185i
$615$	−0.0251686	+	1.45332i	−0.00101490	+	0.0586034i
$616$	2.00363	+	3.03086i	0.0807285	+	0.122117i
$617$	3.79899	+	5.22886i	0.152942	+	0.210506i	0.878612	−	0.477537i	$-0.158470\pi$
$617$	3.79899	+	5.22886i	0.152942	+	0.210506i	−0.725670	+	0.688043i	$0.758470\pi$
$618$	0.226169	+	2.50655i	0.00909787	+	0.100828i
$619$	−25.9223	−	35.6790i	−1.04191	−	1.43406i	−0.895621	−	0.444819i	$-0.853268\pi$
$619$	−25.9223	−	35.6790i	−1.04191	−	1.43406i	−0.146286	−	0.989242i	$-0.546732\pi$
$620$	−27.2794	+	14.0918i	−1.09557	+	0.565941i
$621$	2.74248	−	3.77470i	0.110052	−	0.151473i
$622$	5.47116	+	3.26718i	0.219374	+	0.131002i
$623$	33.4011	+	10.8527i	1.33819	+	0.434803i
$624$	1.96470	−	0.739409i	0.0786511	−	0.0296000i
$625$	9.35246	−	23.1847i	0.374098	−	0.927389i
$626$	−0.252513	−	2.79850i	−0.0100924	−	0.111851i
$627$	−0.0593010	+	0.182510i	−0.00236825	+	0.00728873i
$628$	−34.7622	−	16.7211i	−1.38716	−	0.667243i
$629$	12.7243	−	17.5135i	0.507352	−	0.698311i
$630$	−14.6835	−	36.0459i	−0.585004	−	1.43610i
$631$	−25.4366	+	18.4808i	−1.01262	+	0.735708i	−0.964756	−	0.263146i	$-0.915240\pi$
$631$	−25.4366	+	18.4808i	−1.01262	+	0.735708i	−0.0478593	+	0.998854i	$0.515240\pi$
$632$	−12.3073	+	3.40565i	−0.489558	+	0.135469i
$633$	−0.157054	−	0.216166i	−0.00624233	−	0.00859183i
$634$	6.85525	+	16.0285i	0.272257	+	0.636575i
$635$	5.00533	+	0.0866825i	0.198630	+	0.00343989i
$636$	0.154104	−	1.14155i	0.00611062	−	0.0452654i
$637$	13.2708	+	40.8432i	0.525807	+	1.61827i
$638$	−0.107636	−	0.251669i	−0.00426136	−	0.00996367i
$639$	7.56373	−	23.2788i	0.299216	−	0.920893i
$640$	24.1800	−	7.43836i	0.955797	−	0.294027i
$641$	−4.73875	−	14.5844i	−0.187169	−	0.576048i	0.812810	−	0.582529i	$-0.197937\pi$
$641$	−4.73875	−	14.5844i	−0.187169	−	0.576048i	−0.999979	+	0.00648140i	$0.997937\pi$
$642$	−2.17400	+	1.90024i	−0.0858009	+	0.0749965i
$643$	23.5431			0.928448			0.464224	−	0.885718i	$-0.346333\pi$
$643$	23.5431			0.928448			0.464224	+	0.885718i	$0.346333\pi$
$644$	−36.3324	+	38.0354i	−1.43170	+	1.49881i
$645$	−0.576791	−	0.198517i	−0.0227111	−	0.00781659i
$646$	15.4212	+	9.20899i	0.606740	+	0.362323i
$647$	7.32343	−	10.0798i	0.287914	−	0.396280i	−0.640421	−	0.768024i	$-0.721240\pi$
$647$	7.32343	−	10.0798i	0.287914	−	0.396280i	0.928335	+	0.371744i	$0.121240\pi$
$648$	1.10792	−	25.0517i	0.0435233	−	0.984125i
$649$	0.849707			0.0333539
$650$	−23.5391	+	19.1786i	−0.923280	+	0.752247i
$651$			3.45991i			0.135605i
$652$	−2.45706	+	18.2011i	−0.0962260	+	0.712810i
$653$	−6.50662	−	4.72734i	−0.254624	−	0.184995i	0.453150	−	0.891434i	$-0.350300\pi$
$653$	−6.50662	−	4.72734i	−0.254624	−	0.184995i	−0.707773	+	0.706439i	$0.750300\pi$
$654$	1.29549	−	2.16941i	0.0506577	−	0.0848306i
$655$	6.33035	+	4.76890i	0.247347	+	0.186336i
$656$	11.7039	−	17.7658i	0.456959	−	0.693636i
$657$		−	22.5383i		−	0.879303i
$658$	−27.9949	+	24.4697i	−1.09136	+	0.953927i
$659$	−43.9188	+	14.2701i	−1.71083	+	0.555883i	−0.990472	−	0.137716i	$-0.956024\pi$
$659$	−43.9188	+	14.2701i	−1.71083	+	0.555883i	−0.720361	+	0.693599i	$0.756024\pi$
$660$	0.0781518	+	0.151289i	0.00304205	+	0.00588891i
$661$	31.8290	+	10.3419i	1.23800	+	0.402252i	0.853607	−	0.520917i	$-0.174410\pi$
$661$	31.8290	+	10.3419i	1.23800	+	0.402252i	0.384396	+	0.923168i	$0.374410\pi$
$662$	34.0875	−	14.5789i	1.32485	−	0.566625i
$663$	1.25780	−	0.408685i	0.0488490	−	0.0158720i
$664$	−0.884045	+	19.9895i	−0.0343076	+	0.775745i
$665$	−27.9599	+	37.1146i	−1.08424	+	1.43924i
$666$	14.2604	+	33.3428i	0.552579	+	1.29201i
$667$	3.20591	−	2.32923i	0.124133	−	0.0901881i
$668$	−3.16606	−	17.4013i	−0.122498	−	0.673276i
$669$	−1.43234	−	1.97145i	−0.0553775	−	0.0762206i
$670$	19.9622	+	23.6524i	0.771206	+	0.913771i
$671$	−3.43406	−	2.49499i	−0.132570	−	0.0963180i
$672$	0.505824	−	2.80550i	0.0195126	−	0.108225i
$673$	−30.1023	−	9.78082i	−1.16036	−	0.377023i	−0.335321	−	0.942104i	$-0.608845\pi$
$673$	−30.1023	−	9.78082i	−1.16036	−	0.377023i	−0.825035	+	0.565081i	$0.808845\pi$
$674$	3.23629	+	35.8666i	0.124657	+	1.38153i
$675$	−1.00910	−	3.51551i	−0.0388402	−	0.135312i
$676$	10.7007	−	1.94693i	0.411566	−	0.0748818i
$677$	10.7847	−	33.1919i	0.414489	−	1.27567i	−0.498217	−	0.867052i	$-0.666012\pi$
$677$	10.7847	−	33.1919i	0.414489	−	1.27567i	0.912707	−	0.408615i	$-0.133988\pi$
$678$	0.955364	−	1.59984i	0.0366905	−	0.0614414i
$679$	2.64050	+	1.91844i	0.101333	+	0.0736229i
$680$	15.4321	−	3.98399i	0.591793	−	0.152779i
$681$	1.10800	−	0.805010i	0.0424587	−	0.0308480i
$682$	0.271835	+	3.01265i	0.0104091	+	0.115360i
$683$	−5.66818	+	4.11817i	−0.216887	+	0.157578i	−0.690924	−	0.722927i	$-0.742796\pi$
$683$	−5.66818	+	4.11817i	−0.216887	+	0.157578i	0.474037	+	0.880505i	$0.342796\pi$
$684$	−26.4898	+	14.2703i	−1.01286	+	0.545640i
$685$	24.7108	−	17.3077i	0.944150	−	0.661293i
$686$	17.0629	+	3.89041i	0.651465	+	0.148536i
$687$	−0.848157	+	0.275583i	−0.0323592	+	0.0105141i
$688$	5.57296	+	6.97523i	0.212467	+	0.265928i
$689$	6.25297	−	19.2447i	0.238219	−	0.733163i
$690$	−1.88393	+	1.59000i	−0.0717201	+	0.0605304i
$691$	7.77133	−	2.52506i	0.295635	−	0.0960578i	−0.157444	−	0.987528i	$-0.550325\pi$
$691$	7.77133	−	2.52506i	0.295635	−	0.0960578i	0.453079	+	0.891470i	$0.350325\pi$
$692$	18.1444	−	18.9949i	0.689747	−	0.722077i
$693$	−3.83448			−0.145660
$694$	28.5303	−	24.9376i	1.08299	−	0.946618i
$695$	−22.6642	−	0.392500i	−0.859703	−	0.0148884i
$696$	−0.0753262	+	0.201124i	−0.00285523	+	0.00762357i
$697$	7.87811	−	10.8433i	0.298405	−	0.410719i
$698$	−12.7183	−	2.89981i	−0.481393	−	0.109759i
$699$		−	1.41288i		−	0.0534400i
$700$	5.97177	+	40.7978i	0.225712	+	1.54201i
$701$			20.0038i			0.755534i	0.925901	+	0.377767i	$0.123308\pi$
$701$			20.0038i			0.755534i	−0.925901	+	0.377767i	$0.876692\pi$
$702$	−0.987466	+	4.33092i	−0.0372695	+	0.163460i
$703$	25.4481	−	35.0263i	0.959793	−	1.32104i
$704$	0.220016	−	2.48258i	0.00829218	−	0.0935658i
$705$	−1.42733	+	0.999717i	−0.0537563	+	0.0376515i
$706$	13.4520	+	15.3899i	0.506271	+	0.579208i
$707$	15.2293			0.572757
$708$	−0.482096	−	0.460511i	−0.0181183	−	0.0173070i
$709$	46.7136	−	15.1782i	1.75437	−	0.570029i	0.757775	−	0.652516i	$-0.226286\pi$
$709$	46.7136	−	15.1782i	1.75437	−	0.570029i	0.996592	+	0.0824870i	$0.0262863\pi$
$710$	−13.6778	+	22.0289i	−0.513320	+	0.826732i
$711$	4.16462	−	12.8174i	0.156185	−	0.480689i
$712$	−13.2855	−	20.0968i	−0.497895	−	0.753159i
$713$	−41.6488	+	13.5325i	−1.55976	+	0.506797i
$714$	0.399245	−	1.75105i	0.0149414	−	0.0655313i
$715$	0.874956	+	2.86045i	0.0327215	+	0.106975i
$716$	1.12423	−	0.605637i	0.0420146	−	0.0226337i
$717$	−0.0569310	+	0.0413628i	−0.00212613	+	0.00154472i
$718$	−4.53679	+	0.409360i	−0.169311	+	0.0152772i
$719$	−38.2305	+	27.7761i	−1.42576	+	1.03587i	−0.434971	+	0.900444i	$0.643242\pi$
$719$	−38.2305	+	27.7761i	−1.42576	+	1.03587i	−0.990787	+	0.135430i	$0.956758\pi$
$720$	−7.52422	+	25.6171i	−0.280411	+	0.954692i
$721$	48.5712	+	35.2890i	1.80889	+	1.31423i
$722$	7.77205	+	4.64118i	0.289246	+	0.172727i
$723$	−0.0334301	+	0.102887i	−0.00124328	+	0.00382642i
$724$	−7.12629	−	39.1676i	−0.264847	−	1.45565i
$725$	0.107559	−	3.10448i	0.00399466	−	0.115298i
$726$	−1.87689	+	0.169355i	−0.0696581	+	0.00628534i
$727$	−1.36442	−	0.443325i	−0.0506034	−	0.0164420i	0.283606	−	0.958941i	$-0.408469\pi$
$727$	−1.36442	−	0.443325i	−0.0506034	−	0.0164420i	−0.334209	+	0.942499i	$0.608469\pi$
$728$	17.5640	−	46.8965i	0.650966	−	1.73810i
$729$	21.1936	+	15.3980i	0.784947	+	0.570298i
$730$	−5.70998	+	23.1835i	−0.211336	+	0.858061i
$731$	3.30617	+	4.55055i	0.122283	+	0.168308i
$732$	0.596177	+	3.27671i	0.0220353	+	0.121111i
$733$	30.8009	−	22.3782i	1.13766	−	0.826556i	0.150866	−	0.988554i	$-0.451794\pi$
$733$	30.8009	−	22.3782i	1.13766	−	0.826556i	0.986791	+	0.161998i	$0.0517938\pi$
$734$	11.7246	−	5.01451i	0.432764	−	0.185089i
$735$	2.58447	+	0.889509i	0.0953297	+	0.0328100i
$736$	35.7498	−	4.88410i	1.31775	−	0.180030i
$737$	2.89990	−	0.942236i	0.106819	−	0.0347077i
$738$	8.82914	+	20.6438i	0.325005	+	0.759908i
$739$	30.0806	+	9.77378i	1.10653	+	0.359534i	0.804613	−	0.593799i	$-0.202373\pi$
$739$	30.0806	+	9.77378i	1.10653	+	0.359534i	0.301920	+	0.953333i	$0.402373\pi$
$740$	−6.22139	−	37.9101i	−0.228703	−	1.39360i
$741$	2.51555	−	0.817351i	0.0924110	−	0.0300262i
$742$	−18.0842	−	20.6895i	−0.663891	−	0.759535i
$743$		−	13.6505i		−	0.500790i	−0.968144	−	0.250395i	$-0.919440\pi$
$743$		−	13.6505i		−	0.500790i	0.968144	−	0.250395i	$-0.0805605\pi$
$744$	1.47852	−	1.85660i	0.0542051	−	0.0680664i
$745$	−9.38771	−	30.6908i	−0.343939	−	1.12442i
$746$	−11.6671	−	6.96716i	−0.427163	−	0.255086i
$747$	−17.0841	−	12.4124i	−0.625076	−	0.454144i
$748$	0.210061	−	1.55606i	0.00768057	−	0.0568951i
$749$			68.8800i			2.51682i
$750$	0.0734907	+	1.93107i	0.00268350	+	0.0705127i
$751$	13.2979			0.485247			0.242623	−	0.970121i	$-0.421992\pi$
$751$	13.2979			0.485247			0.242623	+	0.970121i	$0.421992\pi$
$752$	25.4788	−	1.16751i	0.929115	−	0.0425749i
$753$	−0.751964	+	1.03499i	−0.0274031	+	0.0377171i
$754$	−1.93429	+	3.23912i	−0.0704425	+	0.117962i
$755$	−30.8643	+	9.44079i	−1.12327	+	0.343586i
$756$	4.36200	+	4.16669i	0.158644	+	0.151541i
$757$	15.4070			0.559979			0.279989	−	0.960003i	$-0.409669\pi$
$757$	15.4070			0.559979			0.279989	+	0.960003i	$0.409669\pi$
$758$	−1.38617	−	1.58587i	−0.0503480	−	0.0576014i
$759$	0.0750499	+	0.230980i	0.00272414	+	0.00838404i
$760$	30.8635	−	7.96780i	1.11954	−	0.289022i
$761$	−6.51536	+	20.0522i	−0.236182	+	0.726893i	0.760781	+	0.649009i	$0.224816\pi$
$761$	−6.51536	+	20.0522i	−0.236182	+	0.726893i	−0.996962	+	0.0778836i	$0.975184\pi$
$762$	−0.355789	+	0.152167i	−0.0128889	+	0.00551244i
$763$	−18.6266	−	57.3268i	−0.674328	−	2.07537i
$764$	4.85878	−	35.9922i	0.175784	−	1.30215i
$765$	−5.47410	+	15.9050i	−0.197916	+	0.575047i
$766$	16.0701	−	6.87303i	0.580637	−	0.248333i
$767$	−6.88391	−	9.47489i	−0.248563	−	0.342118i
$768$	−1.47030	+	1.28929i	−0.0530548	+	0.0465233i
$769$	12.8730	−	9.35276i	0.464211	−	0.337269i	−0.330970	−	0.943641i	$-0.607376\pi$
$769$	12.8730	−	9.35276i	0.464211	−	0.337269i	0.795181	+	0.606372i	$0.207376\pi$
$770$	3.94425	+	0.971446i	0.142141	+	0.0350085i
$771$	−1.26511	+	1.74127i	−0.0455617	+	0.0627103i
$772$	−14.0898	+	29.2920i	−0.507104	+	1.05424i
$773$	−0.718367	+	2.21091i	−0.0258379	+	0.0795208i	−0.963144	−	0.268986i	$-0.913311\pi$
$773$	−0.718367	+	2.21091i	−0.0258379	+	0.0795208i	0.937306	+	0.348507i	$0.113311\pi$
$774$	−9.38445	+	0.846771i	−0.337317	+	0.0304365i
$775$	−11.7321	+	32.2613i	−0.421431	+	1.15886i
$776$	−0.597103	−	2.15780i	−0.0214347	−	0.0774606i
$777$	−4.11718	−	1.33775i	−0.147703	−	0.0479916i
$778$	−8.43666	+	14.1279i	−0.302469	+	0.506510i
$779$	15.7559	−	21.6861i	0.564513	−	0.776985i
$780$	1.05384	−	2.09712i	0.0377335	−	0.0750889i
$781$	1.50152	+	2.06666i	0.0537286	+	0.0739511i
$782$	22.6398	−	2.04282i	0.809599	−	0.0730511i
$783$	−0.267122	−	0.367662i	−0.00954615	−	0.0131392i
$784$	−24.9712	−	31.2544i	−0.891829	−	1.11623i
$785$	−41.2415	+	12.6150i	−1.47197	+	0.450248i
$786$	−0.597312	−	0.136189i	−0.0213054	−	0.00485772i
$787$	−11.5499	−	35.5471i	−0.411711	−	1.26712i	−0.915160	−	0.403091i	$-0.867936\pi$
$787$	−11.5499	−	35.5471i	−0.411711	−	1.26712i	0.503449	−	0.864025i	$-0.332064\pi$
$788$	10.9350	+	20.2984i	0.389543	+	0.723102i
$789$	2.53096	+	0.822360i	0.0901047	+	0.0292768i
$790$	−7.53106	+	12.1292i	−0.267943	+	0.431538i
$791$	−13.7363	−	42.2758i	−0.488405	−	1.50316i
$792$	2.05760	+	1.63858i	0.0731135	+	0.0582244i
$793$			58.5055i			2.07759i
$794$	3.60599	−	3.15190i	0.127972	−	0.111857i
$795$	−0.738836	−	1.05486i	−0.0262038	−	0.0374120i
$796$	−26.9497	−	12.9632i	−0.955205	−	0.459467i
$797$	−27.6045	−	20.0559i	−0.977802	−	0.710415i	−0.0205856	−	0.999788i	$-0.506553\pi$
$797$	−27.6045	−	20.0559i	−0.977802	−	0.710415i	−0.957216	+	0.289373i	$0.906553\pi$
$798$	0.798473	−	3.50201i	0.0282656	−	0.123970i
$799$	16.0686			0.568468
$800$	14.2296	−	24.4442i	0.503092	−	0.864233i
$801$	25.4253			0.898361
$802$	0.970046	−	4.25452i	0.0342535	−	0.150232i
$803$	1.90300	+	1.38261i	0.0671553	+	0.0487912i
$804$	−2.15597	−	1.03705i	−0.0760351	−	0.0365739i
$805$	−1.01829	+	58.7996i	−0.0358901	+	2.07241i
$806$	31.3911	−	27.4382i	1.10570	−	0.966469i
$807$		−	1.48289i		−	0.0522001i
$808$	−8.17212	−	6.50791i	−0.287494	−	0.228948i
$809$	0.931838	+	2.86790i	0.0327617	+	0.100830i	0.966100	−	0.258167i	$-0.0831186\pi$
$809$	0.931838	+	2.86790i	0.0327617	+	0.100830i	−0.933338	+	0.358998i	$0.883119\pi$
$810$	−18.0825	−	21.4253i	−0.635356	−	0.752808i
$811$	27.5066	+	8.93745i	0.965889	+	0.313836i	0.749155	−	0.662394i	$-0.230460\pi$
$811$	27.5066	+	8.93745i	0.965889	+	0.313836i	0.216734	+	0.976231i	$0.430460\pi$
$812$	2.42983	+	4.51045i	0.0852703	+	0.158286i
$813$	−0.593143	−	1.82551i	−0.0208024	−	0.0640233i
$814$	−3.69006	−	0.841348i	−0.129337	−	0.0294892i
$815$	11.7801	+	16.8189i	0.412640	+	0.589140i
$816$	−0.962508	+	0.769010i	−0.0336945	+	0.0269208i
$817$	6.61219	+	9.10090i	0.231331	+	0.318400i
$818$	13.7723	−	1.24269i	0.481536	−	0.0434496i
$819$	31.0650	+	42.7573i	1.08550	+	1.49406i
$820$	−3.85189	−	23.4716i	−0.134514	−	0.819664i
$821$	−12.8958	+	17.7496i	−0.450067	+	0.619464i	−0.972412	−	0.233270i	$-0.925057\pi$
$821$	−12.8958	+	17.7496i	−0.450067	+	0.619464i	0.522345	+	0.852734i	$0.325057\pi$
$822$	−1.19564	+	2.00221i	−0.0417029	+	0.0698349i
$823$	19.0241	+	6.18129i	0.663137	+	0.215466i	0.621198	−	0.783654i	$-0.286646\pi$
$823$	19.0241	+	6.18129i	0.663137	+	0.215466i	0.0419394	+	0.999120i	$0.486646\pi$
$824$	−10.9835	−	39.6921i	−0.382629	−	1.38274i
$825$	0.178918	+	0.0650652i	0.00622911	+	0.00226528i
$826$	−15.8399	+	1.42925i	−0.551140	+	0.0497300i
$827$	−5.28600	+	16.2686i	−0.183812	+	0.565716i	−0.999926	−	0.0121758i	$-0.996124\pi$
$827$	−5.28600	+	16.2686i	−0.183812	+	0.565716i	0.816114	+	0.577891i	$0.196124\pi$
$828$	−16.5067	+	34.3164i	−0.573646	+	1.19258i
$829$	−21.2432	+	29.2388i	−0.737807	+	1.01550i	0.260935	+	0.965356i	$0.415969\pi$
$829$	−21.2432	+	29.2388i	−0.737807	+	1.01550i	−0.998742	+	0.0501475i	$0.984031\pi$
$830$	14.4286	+	17.0959i	0.500825	+	0.593407i
$831$	0.230458	−	0.167437i	0.00799448	−	0.00580833i
$832$	−29.4651	+	17.6593i	−1.02152	+	0.612226i
$833$	−14.8142	−	20.3900i	−0.513282	−	0.706472i
$834$	1.61102	−	0.689016i	0.0557850	−	0.0238587i
$835$	−15.7944	−	11.8985i	−0.546586	−	0.411765i
$836$	0.420111	−	3.11205i	0.0145299	−	0.107632i
$837$	1.55194	+	4.77639i	0.0536430	+	0.165096i
$838$	49.2497	−	21.0636i	1.70130	−	0.727630i
$839$	−9.69350	+	29.8335i	−0.334657	+	1.02997i	0.632234	+	0.774777i	$0.282138\pi$
$839$	−9.69350	+	29.8335i	−0.334657	+	1.02997i	−0.966891	+	0.255190i	$0.917862\pi$
$840$	−1.71135	−	2.68881i	−0.0590471	−	0.0927726i
$841$	8.84222	+	27.2136i	0.304904	+	0.938398i
$842$	−13.8825	−	15.8825i	−0.478422	−	0.547347i
$843$	1.66531			0.0573562
$844$	3.16171	+	3.02015i	0.108831	+	0.103958i
$845$	7.31684	−	9.71254i	0.251707	−	0.334122i
$846$	−13.8009	+	23.1108i	−0.474486	+	0.794567i
$847$	−26.4243	+	36.3699i	−0.907948	+	1.24968i
$848$	0.862845	+	18.8299i	0.0296302	+	0.646623i
$849$	−0.487170			−0.0167196
$850$	9.66027	−	14.9735i	0.331345	−	0.513587i
$851$		−	54.7930i		−	1.87828i
$852$	0.268145	−	1.98633i	0.00918648	−	0.0680504i
$853$	−20.4120	−	14.8302i	−0.698894	−	0.507776i	0.180678	−	0.983542i	$-0.442171\pi$
$853$	−20.4120	−	14.8302i	−0.698894	−	0.507776i	−0.879572	+	0.475766i	$0.842171\pi$
$854$	68.2129	+	40.7342i	2.33420	+	1.39390i
$855$	−10.9480	+	31.8093i	−0.374412	+	1.08786i
$856$	29.4344	−	36.9613i	1.00605	−	1.26331i
$857$			40.0337i			1.36753i	0.729704	+	0.683763i	$0.239658\pi$
$857$			40.0337i			1.36753i	−0.729704	+	0.683763i	$0.760342\pi$
$858$	−0.152169	−	0.174092i	−0.00519497	−	0.00594339i
$859$	−18.4443	+	5.99291i	−0.629311	+	0.204475i	−0.606270	−	0.795259i	$-0.707335\pi$
$859$	−18.4443	+	5.99291i	−0.629311	+	0.204475i	−0.0230409	+	0.999735i	$0.507335\pi$
$860$	9.86763	+	1.50649i	0.336483	+	0.0513710i
$861$	−2.54910	−	0.828253i	−0.0868732	−	0.0282268i
$862$	4.98480	+	11.6552i	0.169783	+	0.396977i
$863$	15.3173	−	4.97690i	0.521408	−	0.169416i	−0.0364763	−	0.999335i	$-0.511613\pi$
$863$	15.3173	−	4.97690i	0.521408	−	0.169416i	0.557884	+	0.829919i	$0.311613\pi$
$864$	−0.560121	−	4.09987i	−0.0190557	−	0.139480i
$865$	0.508535	−	29.3645i	0.0172907	−	0.998422i
$866$	36.5573	−	15.6352i	1.24227	−	0.531306i
$867$	1.05300	−	0.765048i	0.0357617	−	0.0259824i
$868$	−10.1349	−	55.7033i	−0.344000	−	1.89069i
$869$	0.826742	+	1.13791i	0.0280453	+	0.0386010i
$870$	0.0905851	+	0.222374i	0.00307112	+	0.00753919i
$871$	−34.0002	−	24.7026i	−1.15205	−	0.837016i
$872$	−14.5022	+	38.7215i	−0.491108	+	1.31127i
$873$	2.24723	+	0.730170i	0.0760573	+	0.0247125i
$874$	45.2786	−	4.08555i	1.53157	−	0.138196i
$875$	35.8379	+	28.9966i	1.21154	+	0.980263i
$876$	−0.330374	−	1.81580i	−0.0111623	−	0.0613502i
$877$	3.77880	−	11.6300i	0.127601	−	0.392716i	−0.866765	−	0.498717i	$-0.833805\pi$
$877$	3.77880	−	11.6300i	0.127601	−	0.392716i	0.994366	+	0.106001i	$0.0338048\pi$
$878$	5.64750	+	3.37248i	0.190594	+	0.113816i
$879$	−0.952378	−	0.691943i	−0.0321229	−	0.0233387i
$880$	−1.70137	−	2.20677i	−0.0573533	−	0.0743902i
$881$	−14.6870	+	10.6707i	−0.494818	+	0.359506i	−0.807034	−	0.590505i	$-0.798929\pi$
$881$	−14.6870	+	10.6707i	−0.494818	+	0.359506i	0.312216	+	0.950011i	$0.398929\pi$
$882$	42.0496	−	3.79419i	1.41588	−	0.127757i
$883$	−6.74673	+	4.90179i	−0.227046	+	0.164958i	−0.695492	−	0.718533i	$-0.744814\pi$
$883$	−6.74673	+	4.90179i	−0.227046	+	0.164958i	0.468447	+	0.883492i	$0.344814\pi$
$884$	−19.0530	+	10.2641i	−0.640823	+	0.345218i
$885$	−0.745279	−	0.0129068i	−0.0250523	−	0.000433856i
$886$	−10.6613	+	46.7591i	−0.358172	+	1.57090i
$887$	−47.8491	+	15.5471i	−1.60662	+	0.522021i	−0.968732	−	0.248110i	$-0.920190\pi$
$887$	−47.8491	+	15.5471i	−1.60662	+	0.522021i	−0.637885	+	0.770132i	$0.720190\pi$
$888$	1.63764	+	2.47723i	0.0549555	+	0.0831305i
$889$	−2.85256	+	8.77929i	−0.0956720	+	0.294448i
$890$	−26.1532	−	6.44139i	−0.876658	−	0.215916i
$891$	−2.62685	+	0.853516i	−0.0880029	+	0.0285939i
$892$	28.8350	+	27.5440i	0.965467	+	0.922240i
$893$	32.1366			1.07541
$894$	1.63268	+	1.86789i	0.0546049	+	0.0624716i
$895$	0.464634	−	1.35000i	0.0155310	−	0.0451254i
$896$	0.0743804	+	46.6493i	0.00248488	+	1.55844i
$897$	1.96759	−	2.70815i	0.0656958	−	0.0904225i
$898$	2.14212	−	9.39510i	0.0714835	−	0.313519i
$899$			4.26543i			0.142260i
$900$	13.2388	+	26.7543i	0.441293	+	0.891811i
$901$			11.8754i			0.395628i
$902$	−2.28466	−	0.520910i	−0.0760707	−	0.0173444i
$903$	0.661153	−	0.910000i	0.0220018	−	0.0302829i
$904$	−10.6947	+	28.5553i	−0.355701	+	0.949735i
$905$	−35.5506	−	26.7817i	−1.18174	−	0.890252i
$906$	1.87845	−	1.64191i	0.0624074	−	0.0545488i
$907$	−40.7553			−1.35326			−0.676629	−	0.736324i	$-0.736560\pi$
$907$	−40.7553			−1.35326			−0.676629	+	0.736324i	$0.736560\pi$
$908$	−15.4804	+	16.2060i	−0.513734	+	0.537813i
$909$	10.4858	−	3.40703i	0.347790	−	0.113004i
$910$	−21.1220	−	51.8516i	−0.700187	−	1.71886i
$911$	0.0419150	−	0.129001i	0.00138871	−	0.00427400i	−0.950360	−	0.311153i	$-0.899285\pi$
$911$	0.0419150	−	0.129001i	0.00138871	−	0.00427400i	0.951748	+	0.306879i	$0.0992848\pi$
$912$	−1.92497	+	1.53799i	−0.0637422	+	0.0509278i
$913$	2.09605	−	0.681046i	0.0693690	−	0.0225393i
$914$	−56.6219	−	12.9100i	−1.87289	−	0.427025i
$915$	2.97412	+	2.24052i	0.0983213	+	0.0740693i
$916$	12.8478	−	6.92123i	0.424502	−	0.228684i
$917$	−11.8235	+	8.59030i	−0.390448	+	0.283677i
$918$	−0.234276	−	2.59639i	−0.00773225	−	0.0856937i
$919$	8.15739	−	5.92669i	0.269087	−	0.195503i	−0.445056	−	0.895503i	$-0.646816\pi$
$919$	8.15739	−	5.92669i	0.269087	−	0.195503i	0.714144	+	0.699999i	$0.246816\pi$
$920$	25.6731	−	31.1170i	0.846418	−	1.02590i
$921$	0.803507	+	0.583782i	0.0264765	+	0.0192363i
$922$	17.9908	−	30.1270i	0.592494	−	0.992181i
$923$	10.8803	−	33.4862i	0.358130	−	1.10221i
$924$	−0.308925	+	0.0562069i	−0.0101629	+	0.00184907i
$925$	−33.8537	−	26.4345i	−1.11310	−	0.869161i
$926$	2.46596	+	27.3293i	0.0810363	+	0.898096i
$927$	41.3371	+	13.4312i	1.35769	+	0.441140i
$928$	0.623587	−	3.45866i	0.0204702	−	0.113536i
$929$	−6.77547	−	4.92267i	−0.222296	−	0.161508i	0.471064	−	0.882099i	$-0.343870\pi$
$929$	−6.77547	−	4.92267i	−0.222296	−	0.161508i	−0.693360	+	0.720592i	$0.743870\pi$
$930$	−0.192666	−	2.64653i	−0.00631776	−	0.0867831i
$931$	−29.6277	−	40.7791i	−0.971010	−	1.33648i
$932$	4.13865	+	22.7468i	0.135566	+	0.745097i
$933$	−0.445544	+	0.323707i	−0.0145865	+	0.0105977i
$934$	0.0375549	+	0.0878088i	0.00122883	+	0.00287319i
$935$	−1.00711	−	1.43789i	−0.0329361	−	0.0470240i
$936$	1.60179	−	36.2187i	0.0523560	−	1.18385i
$937$	−15.2292	+	4.94826i	−0.497516	+	0.161653i	−0.547017	−	0.837121i	$-0.684237\pi$
$937$	−15.2292	+	4.94826i	−0.497516	+	0.161653i	0.0495015	+	0.998774i	$0.484237\pi$
$938$	−52.4739	+	22.4425i	−1.71333	+	0.732775i
$939$	0.230951	+	0.0750406i	0.00753681	+	0.00244886i
$940$	20.0511	−	20.2761i	0.653994	−	0.661332i
$941$	33.5449	−	10.8994i	1.09353	−	0.355311i	0.293923	−	0.955829i	$-0.405039\pi$
$941$	33.5449	−	10.8994i	1.09353	−	0.355311i	0.799611	+	0.600519i	$0.205039\pi$
$942$	2.51003	−	2.19395i	0.0817811	−	0.0714829i
$943$		−	33.9244i		−	1.10473i
$944$	9.11051	+	6.00188i	0.296522	+	0.195345i
$945$	6.74328	+	0.116780i	0.219359	+	0.00379886i
$946$	0.504191	−	0.844310i	0.0163927	−	0.0274509i
$947$	−13.2108	−	9.59818i	−0.429292	−	0.311899i	0.352074	−	0.935972i	$-0.385477\pi$
$947$	−13.2108	−	9.59818i	−0.429292	−	0.311899i	−0.781366	+	0.624073i	$0.785477\pi$
$948$	0.147641	−	1.09368i	0.00479517	−	0.0355210i
$949$		−	32.4211i		−	1.05243i
$950$	19.3201	−	29.9463i	0.626827	−	0.971587i
$951$	−1.50660			−0.0488549
$952$	−1.29849	+	29.3607i	−0.0420842	+	0.951586i
$953$	−9.40127	+	12.9397i	−0.304537	+	0.419159i	−0.933668	−	0.358140i	$-0.883411\pi$
$953$	−9.40127	+	12.9397i	−0.304537	+	0.419159i	0.629131	+	0.777299i	$0.283411\pi$
$954$	−17.0799	−	10.1995i	−0.552984	−	0.330221i
$955$	−23.2949	−	33.2589i	−0.753806	−	1.07623i
$956$	0.795408	−	0.832691i	0.0257253	−	0.0269311i
$957$	0.0236556			0.000764677
$958$	−39.3056	+	34.3561i	−1.26991	+	1.10999i
$959$	17.1910	+	52.9084i	0.555126	+	1.70850i
$960$	−0.230686	+	2.17413i	−0.00744536	+	0.0701698i
$961$	4.98671	−	15.3475i	0.160862	−	0.495081i
$962$	20.5134	+	47.9632i	0.661378	+	1.54639i
$963$	15.4095	+	47.4256i	0.496564	+	1.52827i
$964$	0.236832	−	1.75437i	0.00762784	−	0.0565045i
$965$	10.6299	+	34.7518i	0.342188	+	1.11870i
$966$	−1.78757	−	4.17959i	−0.0575141	−	0.134476i
$967$	27.9288	+	38.4407i	0.898129	+	1.23617i	0.971061	+	0.238832i	$0.0767646\pi$
$967$	27.9288	+	38.4407i	0.898129	+	1.23617i	−0.0729314	+	0.997337i	$0.523235\pi$
$968$	29.7212	−	8.22440i	0.955277	−	0.264342i
$969$	−1.25583	+	0.912412i	−0.0403430	+	0.0293109i
$970$	−2.12658	−	1.32040i	−0.0682804	−	0.0423955i
$971$	−27.8358	+	38.3127i	−0.893294	+	1.22951i	0.0792647	+	0.996854i	$0.474743\pi$
$971$	−27.8358	+	38.3127i	−0.893294	+	1.22951i	−0.972558	+	0.232660i	$0.925257\pi$
$972$	5.90815	+	2.84190i	0.189504	+	0.0911540i
$973$	12.9165	−	39.7528i	0.414083	−	1.27442i
$974$	0.751479	+	8.32837i	0.0240789	+	0.266858i
$975$	−0.723976	−	2.52219i	−0.0231858	−	0.0807749i
$976$	−19.1965	−	51.0075i	−0.614464	−	1.63271i
$977$	21.1525	+	6.87286i	0.676728	+	0.219882i	0.627162	−	0.778889i	$-0.284216\pi$
$977$	21.1525	+	6.87286i	0.676728	+	0.219882i	0.0495655	+	0.998771i	$0.484216\pi$
$978$	−1.36276	−	0.813790i	−0.0435763	−	0.0260221i
$979$	−1.55971	+	2.14676i	−0.0498486	+	0.0686107i
$980$	−44.2146	−	6.75026i	−1.41238	−	0.215629i
$981$	−25.6497	−	35.3038i	−0.818933	−	1.12716i
$982$	−4.51235	−	50.0087i	−0.143995	−	1.59584i
$983$	−27.0299	−	37.2035i	−0.862121	−	1.18661i	−0.981060	−	0.193707i	$-0.937949\pi$
$983$	−27.0299	−	37.2035i	−0.862121	−	1.18661i	0.118938	−	0.992902i	$-0.462051\pi$
$984$	1.01392	+	1.53375i	0.0323227	+	0.0488941i
$985$	24.3746	+	8.38913i	0.776641	+	0.267300i
$986$	0.492195	−	2.15871i	0.0156747	−	0.0687475i
$987$	−0.992976	−	3.05607i	−0.0316068	−	0.0972756i
$988$	−38.1052	+	20.5277i	−1.21229	+	0.653073i
$989$	13.5401	+	4.39944i	0.430550	+	0.139894i
$990$	2.93304	−	0.213524i	0.0932181	−	0.00678623i
$991$	−4.44841	−	13.6908i	−0.141308	−	0.434902i	0.855209	−	0.518283i	$-0.173428\pi$
$991$	−4.44841	−	13.6908i	−0.141308	−	0.434902i	−0.996518	+	0.0833801i	$0.973428\pi$
$992$	−18.3652	+	34.2216i	−0.583095	+	1.08654i
$993$			3.20406i			0.101678i
$994$	−31.4669	−	36.0002i	−0.998070	−	1.14186i
$995$	−31.9729	+	9.77987i	−1.01361	+	0.310043i
$996$	−1.55833	−	0.749577i	−0.0493775	−	0.0237513i
$997$	−0.677675	−	0.492360i	−0.0214622	−	0.0155932i	0.577002	−	0.816742i	$-0.304222\pi$
$997$	−0.677675	−	0.492360i	−0.0214622	−	0.0155932i	−0.598465	+	0.801149i	$0.704222\pi$
$998$	−34.1141	−	7.77814i	−1.07986	−	0.246213i
$999$	−6.28379			−0.198810

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	200.2.o.a.29.18	yes	112
4.3	odd	2		800.2.be.a.529.14		112
5.2	odd	4		1000.2.t.b.101.52		224
5.3	odd	4		1000.2.t.b.101.5		224
5.4	even	2		1000.2.o.a.149.11		112
8.3	odd	2		800.2.be.a.529.15		112
8.5	even	2	inner	200.2.o.a.29.11	✓	112
25.6	even	5		1000.2.o.a.349.18		112
25.8	odd	20		1000.2.t.b.901.49		224
25.17	odd	20		1000.2.t.b.901.8		224
25.19	even	10	inner	200.2.o.a.69.11	yes	112
40.13	odd	4		1000.2.t.b.101.49		224
40.29	even	2		1000.2.o.a.149.18		112
40.37	odd	4		1000.2.t.b.101.8		224
100.19	odd	10		800.2.be.a.369.15		112
200.19	odd	10		800.2.be.a.369.14		112
200.69	even	10	inner	200.2.o.a.69.18	yes	112
200.117	odd	20		1000.2.t.b.901.52		224
200.133	odd	20		1000.2.t.b.901.5		224
200.181	even	10		1000.2.o.a.349.11		112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
200.2.o.a.29.11	✓	112	8.5	even	2	inner
200.2.o.a.29.18	yes	112	1.1	even	1	trivial
200.2.o.a.69.11	yes	112	25.19	even	10	inner
200.2.o.a.69.18	yes	112	200.69	even	10	inner
800.2.be.a.369.14		112	200.19	odd	10
800.2.be.a.369.15		112	100.19	odd	10
800.2.be.a.529.14		112	4.3	odd	2
800.2.be.a.529.15		112	8.3	odd	2
1000.2.o.a.149.11		112	5.4	even	2
1000.2.o.a.149.18		112	40.29	even	2
1000.2.o.a.349.11		112	200.181	even	10
1000.2.o.a.349.18		112	25.6	even	5
1000.2.t.b.101.5		224	5.3	odd	4
1000.2.t.b.101.8		224	40.37	odd	4
1000.2.t.b.101.49		224	40.13	odd	4
1000.2.t.b.101.52		224	5.2	odd	4
1000.2.t.b.901.5		224	200.133	odd	20
1000.2.t.b.901.8		224	25.17	odd	20
1000.2.t.b.901.49		224	25.8	odd	20
1000.2.t.b.901.52		224	200.117	odd	20

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:	\( N \)	\(=\)	\( 200 = 2^{3} \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	200.o (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.314378 - 1.37883i) q^{2} +(0.0988780 + 0.0718391i) q^{3} +(-1.80233 - 0.866946i) q^{4} +(-2.13827 + 0.654056i) q^{5} +(0.130139 - 0.113751i) q^{6} -4.12326i q^{7} +(-1.76198 + 2.21256i) q^{8} +(-0.922435 - 2.83896i) q^{9} +O(q^{10})\)	\(q+(0.314378 - 1.37883i) q^{2} +(0.0988780 + 0.0718391i) q^{3} +(-1.80233 - 0.866946i) q^{4} +(-2.13827 + 0.654056i) q^{5} +(0.130139 - 0.113751i) q^{6} -4.12326i q^{7} +(-1.76198 + 2.21256i) q^{8} +(-0.922435 - 2.83896i) q^{9} +(0.229604 + 3.15393i) q^{10} +(0.296291 + 0.0962708i) q^{11} +(-0.115930 - 0.215200i) q^{12} +(-1.32691 - 4.08381i) q^{13} +(-5.68526 - 1.29626i) q^{14} +(-0.258415 - 0.0889398i) q^{15} +(2.49681 + 3.12505i) q^{16} +(1.48123 + 2.03874i) q^{17} +(-4.20443 + 0.379371i) q^{18} +(2.96240 + 4.07740i) q^{19} +(4.42091 + 0.674942i) q^{20} +(0.296211 - 0.407699i) q^{21} +(0.225888 - 0.378269i) q^{22} +(6.06625 + 1.97104i) q^{23} +(-0.333170 + 0.0921940i) q^{24} +(4.14442 - 2.79710i) q^{25} +(-6.04802 + 0.545721i) q^{26} +(0.226044 - 0.695692i) q^{27} +(-3.57464 + 7.43148i) q^{28} +(0.365173 - 0.502617i) q^{29} +(-0.203873 + 0.328349i) q^{30} +(-5.55444 + 4.03554i) q^{31} +(5.09385 - 2.46022i) q^{32} +(0.0223807 + 0.0308043i) q^{33} +(3.27675 - 1.40143i) q^{34} +(2.69684 + 8.81665i) q^{35} +(-0.798694 + 5.91646i) q^{36} +(-2.65457 - 8.16992i) q^{37} +(6.55334 - 2.80280i) q^{38} +(0.162175 - 0.499123i) q^{39} +(2.32047 - 5.88349i) q^{40} +(-1.64354 - 5.05830i) q^{41} +(-0.469025 - 0.536596i) q^{42} +2.23204 q^{43} +(-0.450553 - 0.430380i) q^{44} +(3.82926 + 5.46715i) q^{45} +(4.62482 - 7.74466i) q^{46} +(3.74794 - 5.15860i) q^{47} +(0.0223785 + 0.488367i) q^{48} -10.0013 q^{49} +(-2.55380 - 6.59379i) q^{50} +0.307997i q^{51} +(-1.14891 + 8.51074i) q^{52} +(3.81243 + 2.76989i) q^{53} +(-0.888176 - 0.530386i) q^{54} +(-0.696517 - 0.0120623i) q^{55} +(9.12295 + 7.26511i) q^{56} +0.615981i q^{57} +(-0.578221 - 0.661523i) q^{58} +(2.59396 - 0.842829i) q^{59} +(0.388644 + 0.384331i) q^{60} +(-12.9582 - 4.21037i) q^{61} +(3.81812 + 8.92730i) q^{62} +(-11.7058 + 3.80344i) q^{63} +(-1.79083 - 7.79698i) q^{64} +(5.50834 + 7.86443i) q^{65} +(0.0495099 - 0.0211749i) q^{66} +(7.91813 - 5.75286i) q^{67} +(-0.902195 - 4.95865i) q^{68} +(0.458220 + 0.630686i) q^{69} +(13.0045 - 0.946718i) q^{70} +(6.63373 + 4.81969i) q^{71} +(7.90669 + 2.96127i) q^{72} +(7.18083 + 2.33319i) q^{73} +(-12.0994 + 1.09175i) q^{74} +(0.610733 + 0.0211597i) q^{75} +(-1.80435 - 9.91707i) q^{76} +(0.396949 - 1.22168i) q^{77} +(-0.637220 - 0.380524i) q^{78} +(3.65256 + 2.65374i) q^{79} +(-7.38281 - 5.04916i) q^{80} +(-7.17257 + 5.21118i) q^{81} +(-7.49122 + 0.675942i) q^{82} +(5.72321 - 4.15816i) q^{83} +(-0.887324 + 0.478011i) q^{84} +(-4.50074 - 3.39058i) q^{85} +(0.701703 - 3.07759i) q^{86} +(0.0722151 - 0.0234641i) q^{87} +(-0.735065 + 0.485933i) q^{88} +(-2.63206 + 8.10065i) q^{89} +(8.74210 - 3.56114i) q^{90} +(-16.8386 + 5.47119i) q^{91} +(-9.22461 - 8.81159i) q^{92} -0.839121 q^{93} +(-5.93455 - 6.78951i) q^{94} +(-9.00127 - 6.78101i) q^{95} +(0.680410 + 0.122676i) q^{96} +(-0.465272 + 0.640392i) q^{97} +(-3.14417 + 13.7900i) q^{98} -0.929963i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9}+O(q^{10}) \) 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9	\( 112 q - 5 q^{2} - 3 q^{4} + q^{6} + 10 q^{8} - 30 q^{9} - 9 q^{10} - 5 q^{12} - 3 q^{14} - 2 q^{15} - 15 q^{16} - 10 q^{17} - 17 q^{20} - 30 q^{22} - 10 q^{23} - 16 q^{24} - 6 q^{25} - 14 q^{26} + 15 q^{28} - 33 q^{30} - 18 q^{31} - 10 q^{33} + 9 q^{34} + 41 q^{36} + 45 q^{38} - 10 q^{39} - 14 q^{40} - 10 q^{41} + 75 q^{42} - 32 q^{44} + 13 q^{46} - 10 q^{47} - 70 q^{48} - 80 q^{49} - 19 q^{50} - 100 q^{52} + 43 q^{54} - 34 q^{55} + 36 q^{56} - 30 q^{58} - 28 q^{60} + 20 q^{62} + 60 q^{63} - 36 q^{64} + 40 q^{65} + 40 q^{66} + 42 q^{70} + 22 q^{71} - 65 q^{72} - 10 q^{73} + 4 q^{74} - 36 q^{76} - 55 q^{78} + 14 q^{79} - 76 q^{80} - 6 q^{81} + 78 q^{84} - 59 q^{86} - 10 q^{87} + 110 q^{88} + 24 q^{89} + 49 q^{90} + 90 q^{92} + 45 q^{94} - 86 q^{95} + 46 q^{96} - 50 q^{97} + 90 q^{98}+O(q^{100}) \) 112 * q - 5 * q^2 - 3 * q^4 + q^6 + 10 * q^8 - 30 * q^9 - 9 * q^10 - 5 * q^12 - 3 * q^14 - 2 * q^15 - 15 * q^16 - 10 * q^17 - 17 * q^20 - 30 * q^22 - 10 * q^23 - 16 * q^24 - 6 * q^25 - 14 * q^26 + 15 * q^28 - 33 * q^30 - 18 * q^31 - 10 * q^33 + 9 * q^34 + 41 * q^36 + 45 * q^38 - 10 * q^39 - 14 * q^40 - 10 * q^41 + 75 * q^42 - 32 * q^44 + 13 * q^46 - 10 * q^47 - 70 * q^48 - 80 * q^49 - 19 * q^50 - 100 * q^52 + 43 * q^54 - 34 * q^55 + 36 * q^56 - 30 * q^58 - 28 * q^60 + 20 * q^62 + 60 * q^63 - 36 * q^64 + 40 * q^65 + 40 * q^66 + 42 * q^70 + 22 * q^71 - 65 * q^72 - 10 * q^73 + 4 * q^74 - 36 * q^76 - 55 * q^78 + 14 * q^79 - 76 * q^80 - 6 * q^81 + 78 * q^84 - 59 * q^86 - 10 * q^87 + 110 * q^88 + 24 * q^89 + 49 * q^90 + 90 * q^92 + 45 * q^94 - 86 * q^95 + 46 * q^96 - 50 * q^97 + 90 * q^98

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