LMFDB - Embedded newform 588.2.x.b.55.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.7
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08805 - 0.903405i) q^{2} +(0.900969 + 0.433884i) q^{3} +(0.367718 + 1.96591i) q^{4} +(1.27172 - 2.64076i) q^{5} +(-0.588329 - 1.28603i) q^{6} +(-0.874558 - 2.49703i) q^{7} +(1.37591 - 2.47121i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.08805 - 0.903405i) q^{2} +(0.900969 + 0.433884i) q^{3} +(0.367718 + 1.96591i) q^{4} +(1.27172 - 2.64076i) q^{5} +(-0.588329 - 1.28603i) q^{6} +(-0.874558 - 2.49703i) q^{7} +(1.37591 - 2.47121i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-3.76938 + 1.72441i) q^{10} +(-1.95132 - 1.55612i) q^{11} +(-0.521672 + 1.93077i) q^{12} +(-3.49717 - 2.78890i) q^{13} +(-1.30426 + 3.50698i) q^{14} +(2.29157 - 1.82746i) q^{15} +(-3.72957 + 1.44580i) q^{16} +(5.34571 + 1.22012i) q^{17} +(0.0279209 - 1.41394i) q^{18} -7.28045 q^{19} +(5.65913 + 1.52903i) q^{20} +(0.295470 - 2.62920i) q^{21} +(0.717326 + 3.45598i) q^{22} +(-3.25083 + 0.741980i) q^{23} +(2.31187 - 1.62949i) q^{24} +(-2.23890 - 2.80749i) q^{25} +(1.28560 + 6.19384i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.58733 - 2.63750i) q^{28} +(-1.00322 + 4.39538i) q^{29} +(-4.14429 - 0.0818368i) q^{30} +6.47786 q^{31} +(5.36411 + 1.79621i) q^{32} +(-1.08290 - 2.24867i) q^{33} +(-4.71414 - 6.15690i) q^{34} +(-7.70626 - 0.866030i) q^{35} +(-1.30774 + 1.51322i) q^{36} +(1.08965 - 4.77409i) q^{37} +(7.92152 + 6.57720i) q^{38} +(-1.94079 - 4.03008i) q^{39} +(-4.77609 - 6.77616i) q^{40} +(2.30273 - 4.78166i) q^{41} +(-2.69672 + 2.59378i) q^{42} +(-1.48288 - 3.07923i) q^{43} +(2.34166 - 4.40832i) q^{44} +(2.85754 - 0.652215i) q^{45} +(4.20738 + 2.12950i) q^{46} +(6.44969 - 8.08765i) q^{47} +(-3.98753 - 0.315581i) q^{48} +(-5.47030 + 4.36759i) q^{49} +(-0.100261 + 5.07733i) q^{50} +(4.28692 + 3.41871i) q^{51} +(4.19675 - 7.90064i) q^{52} +(-0.947901 - 4.15302i) q^{53} +(0.638640 - 1.26180i) q^{54} +(-6.59090 + 3.17401i) q^{55} +(-7.37399 - 1.27448i) q^{56} +(-6.55946 - 3.15887i) q^{57} +(5.06236 - 3.87610i) q^{58} +(-0.703091 + 0.338591i) q^{59} +(4.43527 + 3.83302i) q^{60} +(-3.66617 - 0.836780i) q^{61} +(-7.04825 - 5.85213i) q^{62} +(1.40698 - 2.24063i) q^{63} +(-4.21373 - 6.80033i) q^{64} +(-11.8123 + 5.68849i) q^{65} +(-0.853204 + 3.42496i) q^{66} +14.6844i q^{67} +(-0.432934 + 10.9578i) q^{68} +(-3.25083 - 0.741980i) q^{69} +(7.60244 + 7.90416i) q^{70} +(13.1266 - 2.99607i) q^{71} +(2.78994 - 0.465040i) q^{72} +(3.46197 - 2.76083i) q^{73} +(-5.49854 + 4.21006i) q^{74} +(-0.799054 - 3.50088i) q^{75} +(-2.67715 - 14.3127i) q^{76} +(-2.17914 + 6.23342i) q^{77} +(-1.52912 + 6.13826i) q^{78} -4.35536i q^{79} +(-0.924975 + 11.6876i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.82527 + 3.12240i) q^{82} +(4.48263 + 5.62105i) q^{83} +(5.27741 - 0.385938i) q^{84} +(10.0203 - 12.5651i) q^{85} +(-1.16834 + 4.69001i) q^{86} +(-2.81095 + 3.52482i) q^{87} +(-6.53035 + 2.68102i) q^{88} +(-9.07749 + 7.23906i) q^{89} +(-3.69837 - 1.87187i) q^{90} +(-3.90549 + 11.1716i) q^{91} +(-2.65405 - 6.11798i) q^{92} +(5.83635 + 2.81064i) q^{93} +(-14.3240 + 2.97311i) q^{94} +(-9.25873 + 19.2259i) q^{95} +(4.05355 + 3.94573i) q^{96} -17.2322i q^{97} +(9.89768 + 0.189723i) q^{98} -2.49583i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) $ 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−1.08805	−	0.903405i	−0.769370	−	0.638804i
$2$	−1.08805	−	0.903405i	−0.769370	−	0.638804i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	0.367718	+	1.96591i	0.183859	+	0.982953i
$5$	1.27172	−	2.64076i	0.568733	−	1.18099i	−0.396121	−	0.918198i	$-0.629644\pi$
$5$	1.27172	−	2.64076i	0.568733	−	1.18099i	0.964854	−	0.262787i	$-0.0846417\pi$
$6$	−0.588329	−	1.28603i	−0.240184	−	0.525019i
$7$	−0.874558	−	2.49703i	−0.330552	−	0.943788i
$7$	−0.874558	−	2.49703i	−0.330552	−	0.943788i
$8$	1.37591	−	2.47121i	0.486459	−	0.873704i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−3.76938	+	1.72441i	−1.19198	+	0.545305i
$11$	−1.95132	−	1.55612i	−0.588345	−	0.469189i	0.283500	−	0.958972i	$-0.408505\pi$
$11$	−1.95132	−	1.55612i	−0.588345	−	0.469189i	−0.871844	+	0.489783i	$0.837076\pi$
$12$	−0.521672	+	1.93077i	−0.150594	+	0.557364i
$13$	−3.49717	−	2.78890i	−0.969942	−	0.773503i	0.00407202	−	0.999992i	$-0.498704\pi$
$13$	−3.49717	−	2.78890i	−0.969942	−	0.773503i	−0.974014	+	0.226489i	$0.927275\pi$
$14$	−1.30426	+	3.50698i	−0.348579	+	0.937279i
$15$	2.29157	−	1.82746i	0.591680	−	0.471849i
$16$	−3.72957	+	1.44580i	−0.932392	+	0.361449i
$17$	5.34571	+	1.22012i	1.29652	+	0.295923i	0.814463	−	0.580215i	$-0.197031\pi$
$17$	5.34571	+	1.22012i	1.29652	+	0.295923i	0.482060	+	0.876138i	$0.339889\pi$
$18$	0.0279209	−	1.41394i	0.00658101	−	0.333268i
$19$	−7.28045			−1.67025			−0.835125	−	0.550060i	$-0.814605\pi$
$19$	−7.28045			−1.67025			−0.835125	+	0.550060i	$0.814605\pi$
$20$	5.65913	+	1.52903i	1.26542	+	0.341902i
$21$	0.295470	−	2.62920i	0.0644769	−	0.573739i
$22$	0.717326	+	3.45598i	0.152935	+	0.736817i
$23$	−3.25083	+	0.741980i	−0.677844	+	0.154714i	−0.547564	−	0.836764i	$-0.684445\pi$
$23$	−3.25083	+	0.741980i	−0.677844	+	0.154714i	−0.130280	+	0.991477i	$0.541588\pi$
$24$	2.31187	−	1.62949i	0.471909	−	0.332619i
$25$	−2.23890	−	2.80749i	−0.447780	−	0.561498i
$26$	1.28560	+	6.19384i	0.252127	+	1.21471i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	4.58733	−	2.63750i	0.866924	−	0.498441i
$29$	−1.00322	+	4.39538i	−0.186293	+	0.816202i	0.792256	+	0.610188i	$0.208906\pi$
$29$	−1.00322	+	4.39538i	−0.186293	+	0.816202i	−0.978549	+	0.206013i	$0.933951\pi$
$30$	−4.14429	−	0.0818368i	−0.756640	−	0.0149413i
$31$	6.47786			1.16346			0.581729	−	0.813383i	$-0.302377\pi$
$31$	6.47786			1.16346			0.581729	+	0.813383i	$0.302377\pi$
$32$	5.36411	+	1.79621i	0.948249	+	0.317528i
$33$	−1.08290	−	2.24867i	−0.188509	−	0.391442i
$34$	−4.71414	−	6.15690i	−0.808469	−	1.05590i
$35$	−7.70626	−	0.866030i	−1.30260	−	0.146386i
$36$	−1.30774	+	1.51322i	−0.217956	+	0.252203i
$37$	1.08965	−	4.77409i	0.179138	−	0.784855i	−0.802891	−	0.596126i	$-0.796706\pi$
$37$	1.08965	−	4.77409i	0.179138	−	0.784855i	0.982029	−	0.188729i	$-0.0604369\pi$
$38$	7.92152	+	6.57720i	1.28504	+	1.06696i
$39$	−1.94079	−	4.03008i	−0.310774	−	0.645330i
$40$	−4.77609	−	6.77616i	−0.755166	−	1.07140i
$41$	2.30273	−	4.78166i	0.359626	−	0.746770i	−0.640144	−	0.768255i	$-0.721125\pi$
$41$	2.30273	−	4.78166i	0.359626	−	0.746770i	0.999769	+	0.0214851i	$0.00683946\pi$
$42$	−2.69672	+	2.59378i	−0.416113	+	0.400229i
$43$	−1.48288	−	3.07923i	−0.226137	−	0.469579i	0.756770	−	0.653682i	$-0.226776\pi$
$43$	−1.48288	−	3.07923i	−0.226137	−	0.469579i	−0.982907	+	0.184103i	$0.941062\pi$
$44$	2.34166	−	4.40832i	0.353018	−	0.664580i
$45$	2.85754	−	0.652215i	0.425977	−	0.0972264i
$46$	4.20738	+	2.12950i	0.620345	+	0.313978i
$47$	6.44969	−	8.08765i	0.940783	−	1.17971i	−0.0427694	−	0.999085i	$-0.513618\pi$
$47$	6.44969	−	8.08765i	0.940783	−	1.17971i	0.983553	−	0.180620i	$-0.0578105\pi$
$48$	−3.98753	−	0.315581i	−0.575551	−	0.0455501i
$49$	−5.47030	+	4.36759i	−0.781471	+	0.623942i
$50$	−0.100261	+	5.07733i	−0.0141791	+	0.718043i
$51$	4.28692	+	3.41871i	0.600289	+	0.478715i
$52$	4.19675	−	7.90064i	0.581984	−	1.09562i
$53$	−0.947901	−	4.15302i	−0.130204	−	0.570462i	−0.997372	−	0.0724463i	$-0.976919\pi$
$53$	−0.947901	−	4.15302i	−0.130204	−	0.570462i	0.867168	−	0.498016i	$-0.165938\pi$
$54$	0.638640	−	1.26180i	0.0869080	−	0.171709i
$55$	−6.59090	+	3.17401i	−0.888716	+	0.427983i
$56$	−7.37399	−	1.27448i	−0.985391	−	0.170309i
$57$	−6.55946	−	3.15887i	−0.868822	−	0.418402i
$58$	5.06236	−	3.87610i	0.664721	−	0.508956i
$59$	−0.703091	+	0.338591i	−0.0915347	+	0.0440808i	−0.479091	−	0.877765i	$-0.659034\pi$
$59$	−0.703091	+	0.338591i	−0.0915347	+	0.0440808i	0.387556	+	0.921846i	$0.373319\pi$
$60$	4.43527	+	3.83302i	0.572591	+	0.494840i
$61$	−3.66617	−	0.836780i	−0.469405	−	0.107139i	−0.0187261	−	0.999825i	$-0.505961\pi$
$61$	−3.66617	−	0.836780i	−0.469405	−	0.107139i	−0.450679	+	0.892686i	$0.648818\pi$
$62$	−7.04825	−	5.85213i	−0.895129	−	0.743221i
$63$	1.40698	−	2.24063i	0.177262	−	0.282293i
$64$	−4.21373	−	6.80033i	−0.526716	−	0.850041i
$65$	−11.8123	+	5.68849i	−1.46513	+	0.705571i
$66$	−0.853204	+	3.42496i	−0.105022	+	0.421584i
$67$			14.6844i			1.79399i	0.442045	+	0.896993i	$0.354253\pi$
$67$			14.6844i			1.79399i	−0.442045	+	0.896993i	$0.645747\pi$
$68$	−0.432934	+	10.9578i	−0.0525010	+	1.32883i
$69$	−3.25083	−	0.741980i	−0.391354	−	0.0893239i
$70$	7.60244	+	7.90416i	0.908665	+	0.944728i
$71$	13.1266	−	2.99607i	1.55785	−	0.355568i	0.645100	−	0.764098i	$-0.276816\pi$
$71$	13.1266	−	2.99607i	1.55785	−	0.355568i	0.912745	+	0.408530i	$0.133958\pi$
$72$	2.78994	−	0.465040i	0.328797	−	0.0548055i
$73$	3.46197	−	2.76083i	0.405193	−	0.323131i	−0.399596	−	0.916691i	$-0.630850\pi$
$73$	3.46197	−	2.76083i	0.405193	−	0.323131i	0.804789	+	0.593561i	$0.202278\pi$
$74$	−5.49854	+	4.21006i	−0.639192	+	0.489410i
$75$	−0.799054	−	3.50088i	−0.0922668	−	0.404247i
$76$	−2.67715	−	14.3127i	−0.307090	−	1.64178i
$77$	−2.17914	+	6.23342i	−0.248337	+	0.710364i
$78$	−1.52912	+	6.13826i	−0.173139	+	0.695021i
$79$		−	4.35536i		−	0.490017i	−0.969521	−	0.245008i	$-0.921209\pi$
$79$		−	4.35536i		−	0.490017i	0.969521	−	0.245008i	$-0.0787907\pi$
$80$	−0.924975	+	11.6876i	−0.103415	+	1.30671i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−6.82527	+	3.12240i	−0.753725	+	0.344812i
$83$	4.48263	+	5.62105i	0.492033	+	0.616990i	0.964411	−	0.264406i	$-0.0851759\pi$
$83$	4.48263	+	5.62105i	0.492033	+	0.616990i	−0.472378	+	0.881396i	$0.656604\pi$
$84$	5.27741	−	0.385938i	0.575813	−	0.0421093i
$85$	10.0203	−	12.5651i	1.08686	−	1.36287i
$86$	−1.16834	+	4.69001i	−0.125986	+	0.505737i
$87$	−2.81095	+	3.52482i	−0.301366	+	0.377901i
$88$	−6.53035	+	2.68102i	−0.696138	+	0.285798i
$89$	−9.07749	+	7.23906i	−0.962212	+	0.767338i	−0.972571	−	0.232608i	$-0.925274\pi$
$89$	−9.07749	+	7.23906i	−0.962212	+	0.767338i	0.0103586	+	0.999946i	$0.496703\pi$
$90$	−3.69837	−	1.87187i	−0.389842	−	0.197313i
$91$	−3.90549	+	11.1716i	−0.409406	+	1.17110i
$92$	−2.65405	−	6.11798i	−0.276704	−	0.637844i
$93$	5.83635	+	2.81064i	0.605201	+	0.291449i
$94$	−14.3240	+	2.97311i	−1.47741	+	0.306653i
$95$	−9.25873	+	19.2259i	−0.949926	+	1.97254i
$96$	4.05355	+	3.94573i	0.413713	+	0.402709i
$97$		−	17.2322i		−	1.74966i	−0.484426	−	0.874832i	$-0.660971\pi$
$97$		−	17.2322i		−	1.74966i	0.484426	−	0.874832i	$-0.339029\pi$
$98$	9.89768	+	0.189723i	0.999816	+	0.0191649i
$99$		−	2.49583i		−	0.250840i
$100$	4.69598	−	5.43383i	0.469598	−	0.543383i
$101$	4.93220	−	10.2418i	0.490773	−	1.01910i	−0.497651	−	0.867378i	$-0.665804\pi$
$101$	4.93220	−	10.2418i	0.490773	−	1.01910i	0.988423	−	0.151722i	$-0.0484819\pi$
$102$	−1.57592	−	7.59256i	−0.156039	−	0.751776i
$103$	6.73290	+	3.24239i	0.663412	+	0.319483i	0.735114	−	0.677944i	$-0.237129\pi$
$103$	6.73290	+	3.24239i	0.663412	+	0.319483i	−0.0717015	+	0.997426i	$0.522843\pi$
$104$	−11.7038	+	4.80495i	−1.14765	+	0.471164i
$105$	−6.56734	−	4.12389i	−0.640907	−	0.402450i
$106$	−2.72050	+	5.37505i	−0.264238	+	0.522071i
$107$	7.36488	−	5.87329i	0.711990	−	0.567793i	−0.199111	−	0.979977i	$-0.563805\pi$
$107$	7.36488	−	5.87329i	0.711990	−	0.567793i	0.911101	+	0.412184i	$0.135234\pi$
$108$	−1.83479	+	0.795953i	−0.176553	+	0.0765907i
$109$	1.58427	−	1.98662i	0.151746	−	0.190283i	−0.700148	−	0.713998i	$-0.746883\pi$
$109$	1.58427	−	1.98662i	0.151746	−	0.190283i	0.851894	+	0.523714i	$0.175454\pi$
$110$	10.0387	+	2.50076i	0.957149	+	0.238438i
$111$	3.05314	−	3.82852i	0.289792	−	0.363387i
$112$	6.87192	+	8.04840i	0.649335	+	0.760502i
$113$	6.06945	+	7.61085i	0.570966	+	0.715969i	0.980542	−	0.196307i	$-0.0628949\pi$
$113$	6.06945	+	7.61085i	0.570966	+	0.715969i	−0.409576	+	0.912276i	$0.634324\pi$
$114$	4.28330	+	9.36287i	0.401168	+	0.876913i
$115$	−2.17476	+	9.52826i	−0.202798	+	0.888515i
$116$	−9.00980	−	0.355970i	−0.836539	−	0.0330510i
$117$		−	4.47305i		−	0.413534i
$118$	1.07089	+	0.266772i	0.0985830	+	0.0245583i
$119$	−1.62845	−	14.4154i	−0.149280	−	1.32146i
$120$	−1.36305	−	8.17737i	−0.124428	−	0.746489i
$121$	−1.06161	−	4.65122i	−0.0965100	−	0.422838i
$122$	3.23304	+	4.22250i	0.292706	+	0.382287i
$123$	4.14937	−	3.30901i	0.374136	−	0.298364i
$124$	2.38202	+	12.7349i	0.213912	+	1.14362i
$125$	4.02652	−	0.919026i	0.360143	−	0.0822002i
$126$	−3.55506	+	1.16685i	−0.316710	+	0.103951i
$127$	0.682949	+	0.155879i	0.0606019	+	0.0138320i	0.252714	−	0.967541i	$-0.418677\pi$
$127$	0.682949	+	0.155879i	0.0606019	+	0.0138320i	−0.192112	+	0.981373i	$0.561534\pi$
$128$	−1.55870	+	11.2058i	−0.137771	+	0.990464i
$129$		−	3.41769i		−	0.300911i
$130$	17.9914	+	4.48189i	1.57795	+	0.393088i
$131$	9.22237	−	4.44126i	0.805762	−	0.388035i	0.0147928	−	0.999891i	$-0.495291\pi$
$131$	9.22237	−	4.44126i	0.805762	−	0.388035i	0.790969	+	0.611856i	$0.209577\pi$
$132$	4.02246	−	2.95575i	0.350110	−	0.257265i
$133$	6.36718	+	18.1795i	0.552104	+	1.57636i
$134$	13.2660	−	15.9774i	1.14601	−	1.38024i
$135$	2.85754	+	0.652215i	0.245938	+	0.0561337i
$136$	10.3704	−	11.5316i	0.889254	−	0.988823i
$137$	7.59347	−	3.65682i	0.648754	−	0.312423i	−0.0804108	−	0.996762i	$-0.525623\pi$
$137$	7.59347	−	3.65682i	0.648754	−	0.312423i	0.729164	+	0.684338i	$0.239909\pi$
$138$	2.86676	+	3.74413i	0.244035	+	0.318721i
$139$	7.45733	+	3.59126i	0.632522	+	0.304607i	0.722535	−	0.691334i	$-0.242977\pi$
$139$	7.45733	+	3.59126i	0.632522	+	0.304607i	−0.0900132	+	0.995941i	$0.528691\pi$
$140$	−1.13119	−	15.4682i	−0.0956033	−	1.30730i
$141$	9.32007	−	4.48831i	0.784891	−	0.377984i
$142$	−16.9891	−	8.59879i	−1.42570	−	0.721595i
$143$	2.48422	+	10.8841i	0.207741	+	0.910172i
$144$	−3.45572	−	2.01445i	−0.287976	−	0.167871i
$145$	10.3313	+	8.23897i	0.857972	+	0.684210i
$146$	−6.26096	−	0.123634i	−0.518160	−	0.0102321i
$147$	−6.82359	+	1.56159i	−0.562801	+	0.128798i
$148$	9.78609	+	0.386640i	0.804412	+	0.0317816i
$149$	1.32204	−	1.65779i	0.108306	−	0.135811i	−0.724724	−	0.689039i	$-0.758033\pi$
$149$	1.32204	−	1.65779i	0.108306	−	0.135811i	0.833030	+	0.553228i	$0.186604\pi$
$150$	−2.29330	+	4.53102i	−0.187247	+	0.369956i
$151$	−3.07067	+	0.700861i	−0.249888	+	0.0570353i	−0.345630	−	0.938371i	$-0.612335\pi$
$151$	−3.07067	+	0.700861i	−0.249888	+	0.0570353i	0.0957421	+	0.995406i	$0.469478\pi$
$152$	−10.0173	+	17.9915i	−0.812508	+	1.45930i
$153$	2.37906	+	4.94017i	0.192336	+	0.399389i
$154$	8.00233	−	4.81364i	0.644846	−	0.387894i
$155$	8.23805	−	17.1065i	0.661696	−	1.37403i
$156$	7.20910	−	5.29733i	0.577190	−	0.424126i
$157$	10.1007	+	20.9743i	0.806124	+	1.67393i	0.736576	+	0.676355i	$0.236442\pi$
$157$	10.1007	+	20.9743i	0.806124	+	1.67393i	0.0695484	+	0.997579i	$0.477844\pi$
$158$	−3.93466	+	4.73887i	−0.313025	+	0.377004i
$159$	0.947901	−	4.15302i	0.0751734	−	0.329356i
$160$	11.5650	−	11.8811i	0.914296	−	0.939280i
$161$	4.69578	+	7.46850i	0.370080	+	0.588600i
$162$	1.12287	−	0.859746i	0.0882210	−	0.0675481i
$163$	3.61608	+	7.50887i	0.283233	+	0.588140i	0.993243	−	0.116052i	$-0.0370238\pi$
$163$	3.61608	+	7.50887i	0.283233	+	0.588140i	−0.710010	+	0.704192i	$0.751310\pi$
$164$	10.2470	+	2.76864i	0.800160	+	0.216195i
$165$	−7.31534			−0.569499
$166$	0.200739	−	10.1656i	0.0155804	−	0.789006i
$167$	−2.15137	+	9.42579i	−0.166478	+	0.729389i	0.820908	+	0.571060i	$0.193468\pi$
$167$	−2.15137	+	9.42579i	−0.166478	+	0.729389i	−0.987386	+	0.158329i	$0.949389\pi$
$168$	−6.09076	−	4.34772i	−0.469912	−	0.335434i
$169$	1.55947	+	6.83250i	0.119960	+	0.525577i
$170$	−22.2540	+	4.61906i	−1.70680	+	0.354266i
$171$	−4.53929	−	5.69209i	−0.347128	−	0.435285i
$172$	5.50820	−	4.04749i	0.419996	−	0.308618i
$173$	15.1049	−	3.44759i	1.14840	−	0.262116i	0.394371	−	0.918952i	$-0.370963\pi$
$173$	15.1049	−	3.44759i	1.14840	−	0.262116i	0.754034	+	0.656836i	$0.228106\pi$
$174$	6.24281	−	1.29576i	0.473266	−	0.0982316i
$175$	−5.05233	+	8.04591i	−0.381921	+	0.608213i
$176$	9.52741	+	2.98246i	0.718156	+	0.224811i
$177$	−0.780373			−0.0586564
$178$	16.4166	+	0.324176i	1.23048	+	0.0242980i
$179$	−5.64571	−	1.28860i	−0.421980	−	0.0963142i	0.00625745	−	0.999980i	$-0.498008\pi$
$179$	−5.64571	−	1.28860i	−0.421980	−	0.0963142i	−0.428237	+	0.903666i	$0.640865\pi$
$180$	2.33296	+	5.37782i	0.173889	+	0.400839i
$181$	−19.8543	+	15.8332i	−1.47576	+	1.17688i	−0.531771	+	0.846888i	$0.678473\pi$
$181$	−19.8543	+	15.8332i	−1.47576	+	1.17688i	−0.943985	+	0.329987i	$0.892955\pi$
$182$	14.3419	−	8.62705i	1.06309	−	0.639480i
$183$	−2.94004	−	2.34461i	−0.217334	−	0.173318i
$184$	−2.63927	+	9.05437i	−0.194569	+	0.667497i
$185$	−11.2215	−	8.94884i	−0.825021	−	0.657932i
$186$	−3.81111	−	8.33071i	−0.279444	−	0.610837i
$187$	−8.53251	−	10.6994i	−0.623959	−	0.782420i
$188$	18.2712	+	9.70550i	1.33257	+	0.707846i
$189$	2.23981	−	1.40827i	0.162923	−	0.102437i
$190$	27.4428	−	12.5545i	1.99091	−	0.910796i
$191$	4.99919	−	10.3809i	0.361728	−	0.751137i	−0.638095	−	0.769958i	$-0.720277\pi$
$191$	4.99919	−	10.3809i	0.361728	−	0.751137i	0.999823	+	0.0188214i	$0.00599138\pi$
$192$	−0.845885	−	7.95515i	−0.0610465	−	0.574114i
$193$	−14.4093	−	6.93913i	−1.03720	−	0.499490i	−0.163801	−	0.986493i	$-0.552376\pi$
$193$	−14.4093	−	6.93913i	−1.03720	−	0.499490i	−0.873400	+	0.487004i	$0.838090\pi$
$194$	−15.5677	+	18.7495i	−1.11769	+	1.34614i
$195$	−13.1106			−0.938872
$196$	−10.5978	−	9.14804i	−0.756986	−	0.653432i
$197$	−13.8777			−0.988748			−0.494374	−	0.869249i	$-0.664603\pi$
$197$	−13.8777			−0.988748			−0.494374	+	0.869249i	$0.664603\pi$
$198$	−2.25475	+	2.71559i	−0.160238	+	0.192989i
$199$	11.7453	+	5.65624i	0.832602	+	0.400960i	0.801090	−	0.598543i	$-0.204254\pi$
$199$	11.7453	+	5.65624i	0.832602	+	0.400960i	0.0315117	+	0.999503i	$0.489968\pi$
$200$	−10.0184	+	1.66992i	−0.708409	+	0.118081i
$201$	−6.37132	+	13.2302i	−0.449399	+	0.933186i
$202$	−14.6190	+	6.68787i	−1.02859	+	0.470557i
$203$	11.8528	−	1.33896i	0.831901	−	0.0939763i
$204$	−5.14448	+	9.68480i	−0.360185	+	0.678072i
$205$	−9.69880	−	12.1619i	−0.677394	−	0.849425i
$206$	−4.39656	−	9.61043i	−0.306323	−	0.669591i
$207$	−2.60696	−	2.07898i	−0.181196	−	0.144499i
$208$	17.0751	+	5.34520i	1.18395	+	0.370623i
$209$	14.2065	+	11.3293i	0.982683	+	0.783663i
$210$	3.42007	+	10.4200i	0.236007	+	0.719047i
$211$	−10.4070	+	8.29928i	−0.716446	+	0.571346i	−0.912416	−	0.409263i	$-0.865786\pi$
$211$	−10.4070	+	8.29928i	−0.716446	+	0.571346i	0.195971	+	0.980610i	$0.437214\pi$
$212$	7.81589	−	3.39062i	0.536798	−	0.232869i
$213$	13.1266	+	2.99607i	0.899422	+	0.205287i
$214$	−13.3193	−	0.263015i	−0.910491	−	0.0179794i
$215$	−10.0173			−0.683177
$216$	2.71542	+	0.791521i	0.184761	+	0.0538562i
$217$	−5.66526	−	16.1754i	−0.384583	−	1.09806i
$218$	−3.51850	+	0.730303i	−0.238303	+	0.0494623i
$219$	4.31701	−	0.985329i	0.291716	−	0.0665824i
$220$	−8.66339	−	11.7899i	−0.584086	−	0.794878i
$221$	−15.2921	−	19.1756i	−1.02866	−	1.28989i
$222$	−6.78069	+	1.40741i	−0.455090	+	0.0944590i
$223$	1.91447	+	8.38784i	0.128202	+	0.561691i	0.997702	+	0.0677573i	$0.0215844\pi$
$223$	1.91447	+	8.38784i	0.128202	+	0.561691i	−0.869499	+	0.493934i	$0.835558\pi$
$224$	−0.206043	−	14.9652i	−0.0137668	−	0.999905i
$225$	0.799054	−	3.50088i	0.0532702	−	0.233392i
$226$	0.271800	−	13.7642i	0.0180798	−	0.915580i
$227$	−13.9706			−0.927260			−0.463630	−	0.886029i	$-0.653453\pi$
$227$	−13.9706			−0.927260			−0.463630	+	0.886029i	$0.653453\pi$
$228$	3.79801	−	14.0568i	0.251529	−	0.930938i
$229$	11.6783	+	24.2503i	0.771727	+	1.60251i	0.797856	+	0.602849i	$0.205968\pi$
$229$	11.6783	+	24.2503i	0.771727	+	1.60251i	−0.0261289	+	0.999659i	$0.508318\pi$
$230$	10.9741	−	8.40256i	0.723613	−	0.554048i
$231$	−4.66792	+	4.67062i	−0.307127	+	0.307304i
$232$	9.48156	+	8.52682i	0.622495	+	0.559813i
$233$	−6.37683	+	27.9387i	−0.417760	+	1.83033i	0.127216	+	0.991875i	$0.459396\pi$
$233$	−6.37683	+	27.9387i	−0.417760	+	1.83033i	−0.544976	+	0.838452i	$0.683461\pi$
$234$	−4.04098	+	4.86692i	−0.264167	+	0.318160i
$235$	−13.1553	−	27.3174i	−0.858160	−	1.78199i
$236$	−0.924177	−	1.25771i	−0.0601588	−	0.0818696i
$237$	1.88972	−	3.92405i	0.122751	−	0.254894i
$238$	−11.2511	+	17.1559i	−0.729303	+	1.11205i
$239$	−6.24817	−	12.9745i	−0.404160	−	0.839248i	−0.999364	−	0.0356723i	$-0.988643\pi$
$239$	−6.24817	−	12.9745i	−0.404160	−	0.839248i	0.595203	−	0.803575i	$-0.297072\pi$
$240$	−5.90442	+	10.1288i	−0.381128	+	0.653811i
$241$	−11.7181	+	2.67457i	−0.754827	+	0.172284i	−0.582584	−	0.812770i	$-0.697958\pi$
$241$	−11.7181	+	2.67457i	−0.754827	+	0.172284i	−0.172243	+	0.985055i	$0.555101\pi$
$242$	−3.04685	+	6.01983i	−0.195859	+	0.386970i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	0.296913	−	7.51505i	0.0190079	−	0.481102i
$245$	4.57707	+	20.0001i	0.292418	+	1.27776i
$246$	−7.50411	−	0.148183i	−0.478445	−	0.00944779i
$247$	25.4610	+	20.3045i	1.62005	+	1.29194i
$248$	8.91297	−	16.0081i	0.565974	−	1.01652i
$249$	1.59983	+	7.00933i	0.101385	+	0.444198i
$250$	−5.21132	−	2.63763i	−0.329593	−	0.166818i
$251$	9.99970	−	4.81560i	0.631175	−	0.303958i	−0.0908081	−	0.995868i	$-0.528945\pi$
$251$	9.99970	−	4.81560i	0.631175	−	0.303958i	0.721983	+	0.691910i	$0.243231\pi$
$252$	4.92223	+	1.94206i	0.310072	+	0.122339i
$253$	7.49801	+	3.61085i	0.471396	+	0.227012i
$254$	−0.602263	−	0.786584i	−0.0377893	−	0.0493547i
$255$	14.4798	−	6.97309i	0.906759	−	0.436672i
$256$	11.8193	−	10.7844i	0.738709	−	0.674025i
$257$	17.9243	+	4.09110i	1.11809	+	0.255196i	0.741346	−	0.671123i	$-0.234188\pi$
$257$	17.9243	+	4.09110i	1.11809	+	0.255196i	0.376741	+	0.926319i	$0.377045\pi$
$258$	−3.08756	+	3.71863i	−0.192223	+	0.231512i
$259$	−12.8740	+	1.45432i	−0.799951	+	0.0903671i
$260$	−15.5266	−	21.1301i	−0.962920	−	1.31043i
$261$	−4.06194	+	1.95613i	−0.251428	+	0.121081i
$262$	−14.0467	−	3.49921i	−0.867807	−	0.216182i
$263$		−	25.4171i		−	1.56729i	−0.621210	−	0.783644i	$-0.713359\pi$
$263$		−	25.4171i		−	1.56729i	0.621210	−	0.783644i	$-0.286641\pi$
$264$	−7.04689	−	0.417897i	−0.433706	−	0.0257198i
$265$	−12.1726	−	2.77832i	−0.747758	−	0.170671i
$266$	9.49562	−	25.5324i	0.582214	−	1.56549i
$267$	−11.3194	+	2.58359i	−0.692739	+	0.158113i
$268$	−28.8681	+	5.39972i	−1.76340	+	0.329840i
$269$	−4.55357	+	3.63135i	−0.277636	+	0.221407i	−0.752401	−	0.658705i	$-0.771104\pi$
$269$	−4.55357	+	3.63135i	−0.277636	+	0.221407i	0.474765	+	0.880113i	$0.342533\pi$
$270$	−2.51994	−	3.29116i	−0.153359	−	0.200294i
$271$	2.69161	+	11.7927i	0.163504	+	0.716357i	0.988500	+	0.151219i	$0.0483199\pi$
$271$	2.69161	+	11.7927i	0.163504	+	0.716357i	−0.824997	+	0.565138i	$0.808823\pi$
$272$	−21.7012	+	3.17828i	−1.31583	+	0.192711i
$273$	−8.36590	+	8.37074i	−0.506327	+	0.506620i
$274$	−11.5657	−	2.88116i	−0.698709	−	0.174057i
$275$			8.96231i			0.540448i
$276$	0.263276	−	6.66366i	0.0158473	−	0.401105i
$277$	−0.561145	+	2.45854i	−0.0337160	+	0.147719i	−0.988984	−	0.148022i	$-0.952709\pi$
$277$	−0.561145	+	2.45854i	−0.0337160	+	0.147719i	0.955268	+	0.295741i	$0.0955666\pi$
$278$	−4.86960	−	10.6445i	−0.292059	−	0.638413i
$279$	4.03888	+	5.06459i	0.241801	+	0.303209i
$280$	−12.7433	+	17.8522i	−0.761557	+	1.06687i
$281$	13.5510	−	16.9924i	0.808385	−	1.01368i	−0.191099	−	0.981571i	$-0.561205\pi$
$281$	13.5510	−	16.9924i	0.808385	−	1.01368i	0.999484	−	0.0321123i	$-0.0102234\pi$
$282$	−14.1955	−	3.53628i	−0.845329	−	0.210583i
$283$	−17.4901	+	21.9318i	−1.03968	+	1.30371i	−0.0881619	+	0.996106i	$0.528099\pi$
$283$	−17.4901	+	21.9318i	−1.03968	+	1.30371i	−0.951514	+	0.307606i	$0.900472\pi$
$284$	10.7169	+	24.7040i	0.635930	+	1.46591i
$285$	−16.6837	+	13.3048i	−0.988254	+	0.788107i
$286$	7.12977	−	14.0867i	0.421592	−	0.832965i
$287$	−13.9538	−	1.56813i	−0.823667	−	0.0925639i
$288$	1.94013	+	5.31374i	0.114324	+	0.313115i
$289$	11.7714	+	5.66880i	0.692435	+	0.333459i
$290$	−3.79792	−	18.2978i	−0.223021	−	1.07449i
$291$	7.47677	−	15.5257i	0.438296	−	0.910131i
$292$	6.70056	+	5.79070i	0.392121	+	0.338875i
$293$			8.92189i			0.521222i	0.965444	+	0.260611i	$0.0839241\pi$
$293$			8.92189i			0.521222i	−0.965444	+	0.260611i	$0.916076\pi$
$294$	8.83518	+	4.46538i	0.515278	+	0.260426i
$295$			2.28729i			0.133171i
$296$	−10.2985	−	9.26149i	−0.598588	−	0.538313i
$297$	1.08290	−	2.24867i	0.0628362	−	0.130481i
$298$	−2.93611	+	0.609421i	−0.170084	+	0.0353028i
$299$	13.4380	+	6.47141i	0.777141	+	0.374251i
$300$	6.58858	−	2.85820i	0.380392	−	0.165018i
$301$	−6.39207	+	6.39577i	−0.368433	+	0.368646i
$302$	3.97422	+	2.01149i	0.228690	+	0.115748i
$303$	8.88752	−	7.08756i	0.510575	−	0.407170i
$304$	27.1529	−	10.5261i	1.55733	−	0.603711i
$305$	−6.87210	+	8.61734i	−0.393495	+	0.493428i
$306$	1.87443	−	7.52443i	0.107154	−	0.430143i
$307$	10.5011	−	13.1680i	0.599330	−	0.751536i	−0.385943	−	0.922522i	$-0.626124\pi$
$307$	10.5011	−	13.1680i	0.599330	−	0.751536i	0.985273	+	0.170987i	$0.0546955\pi$
$308$	−13.0556	−	1.99185i	−0.743913	−	0.113496i
$309$	4.65931	+	5.84259i	0.265059	+	0.332373i
$310$	−24.4175	+	11.1705i	−1.38682	+	0.634440i
$311$	−1.40393	+	6.15101i	−0.0796094	+	0.348792i	−0.999008	−	0.0445360i	$-0.985819\pi$
$311$	−1.40393	+	6.15101i	−0.0796094	+	0.348792i	0.919398	+	0.393328i	$0.128676\pi$
$312$	−12.6295	−	0.748960i	−0.715006	−	0.0424015i
$313$		−	16.1541i		−	0.913084i	−0.889702	−	0.456542i	$-0.849088\pi$
$313$		−	16.1541i		−	0.913084i	0.889702	−	0.456542i	$-0.150912\pi$
$314$	7.95822	−	31.9462i	0.449108	−	1.80283i
$315$	−4.12768	−	6.56496i	−0.232569	−	0.369893i
$316$	8.56224	−	1.60155i	0.481663	−	0.0900940i
$317$	−1.56187	−	6.84298i	−0.0877231	−	0.384340i	0.911939	−	0.410325i	$-0.134585\pi$
$317$	−1.56187	−	6.84298i	−0.0877231	−	0.384340i	−0.999662	+	0.0259852i	$0.991728\pi$
$318$	−4.78323	+	3.66237i	−0.268230	+	0.205376i
$319$	8.79736	−	7.01566i	0.492557	−	0.392801i
$320$	−23.3168	+	2.47931i	−1.30345	+	0.138598i
$321$	9.18385	−	2.09615i	0.512593	−	0.116996i
$322$	1.63782	−	12.3683i	0.0912724	−	0.689260i
$323$	−38.9191	−	8.88304i	−2.16552	−	0.494266i
$324$	−1.99844	−	0.0789567i	−0.111024	−	0.00438648i
$325$			16.0624i			0.890979i
$326$	2.84907	−	11.4368i	0.157795	−	0.633428i
$327$	2.28934	−	1.10249i	0.126601	−	0.0609678i
$328$	−8.64812	−	12.2697i	−0.477513	−	0.677479i
$329$	−25.8357	−	9.03193i	−1.42437	−	0.497946i
$330$	7.95948	+	6.60872i	0.438155	+	0.363798i
$331$	−4.57450	−	1.04410i	−0.251437	−	0.0573890i	0.0949443	−	0.995483i	$-0.469733\pi$
$331$	−4.57450	−	1.04410i	−0.251437	−	0.0573890i	−0.346382	+	0.938094i	$0.612590\pi$
$332$	−9.40210	+	10.8794i	−0.516007	+	0.597084i
$333$	4.41192	−	2.12467i	0.241772	−	0.116431i
$334$	10.8561	−	8.31219i	0.594020	−	0.454823i
$335$	38.7780	+	18.6745i	2.11867	+	1.02030i
$336$	2.69931	+	10.2330i	0.147260	+	0.558254i
$337$	1.64264	−	0.791052i	0.0894801	−	0.0430914i	−0.388608	−	0.921403i	$-0.627044\pi$
$337$	1.64264	−	0.791052i	0.0894801	−	0.0430914i	0.478089	+	0.878312i	$0.341330\pi$
$338$	4.47573	−	8.84296i	0.243448	−	0.480994i
$339$	2.16616	+	9.49058i	0.117650	+	0.515457i
$340$	28.3864	+	15.0786i	1.53947	+	0.817752i
$341$	−12.6404	−	10.0804i	−0.684514	−	0.545882i
$342$	−0.203276	+	10.2941i	−0.0109919	+	0.556641i
$343$	15.6901	+	9.83977i	0.847185	+	0.531298i
$344$	−9.64974	−	0.572252i	−0.520279	−	0.0308538i
$345$	−6.09355	+	7.64107i	−0.328066	+	0.411382i
$346$	−19.5495	−	9.89468i	−1.05099	−	0.531941i
$347$	−30.8453	+	7.04023i	−1.65586	+	0.377939i	−0.945429	−	0.325828i	$-0.894357\pi$
$347$	−30.8453	+	7.04023i	−1.65586	+	0.377939i	−0.710431	+	0.703767i	$0.751500\pi$
$348$	−7.96310	−	4.22993i	−0.426867	−	0.226748i
$349$	−13.7905	−	28.6362i	−0.738188	−	1.53286i	−0.842727	−	0.538342i	$-0.819051\pi$
$349$	−13.7905	−	28.6362i	−0.738188	−	1.53286i	0.104539	−	0.994521i	$-0.466663\pi$
$350$	12.7659	−	4.19007i	0.682367	−	0.223968i
$351$	1.94079	−	4.03008i	0.103591	−	0.215110i
$352$	−7.67196	−	11.8522i	−0.408917	−	0.631724i
$353$	3.04474	+	6.32247i	0.162055	+	0.336511i	0.966146	−	0.257995i	$-0.0830619\pi$
$353$	3.04474	+	6.32247i	0.162055	+	0.336511i	−0.804091	+	0.594506i	$0.797348\pi$
$354$	0.849087	+	0.704993i	0.0451284	+	0.0374699i
$355$	8.78156	−	38.4745i	0.466077	−	2.04202i
$356$	−17.5693	−	15.1836i	−0.931169	−	0.804727i
$357$	4.78744	−	13.6944i	0.253378	−	0.724786i
$358$	4.97870	+	6.50242i	0.263133	+	0.343664i
$359$	−7.42021	−	15.4082i	−0.391624	−	0.813215i	−0.999811	−	0.0194220i	$-0.993817\pi$
$359$	−7.42021	−	15.4082i	−0.391624	−	0.813215i	0.608187	−	0.793793i	$-0.291897\pi$
$360$	2.31997	−	7.95896i	0.122273	−	0.419474i
$361$	34.0050			1.78974
$362$	35.9063	+	0.709038i	1.88719	+	0.0372662i
$363$	1.06161	−	4.65122i	0.0557201	−	0.244126i
$364$	−23.3984	−	3.56982i	−1.22641	−	0.187109i
$365$	−2.88802	−	12.6533i	−0.151166	−	0.662302i
$366$	1.08079	+	5.20711i	0.0564939	+	0.272180i
$367$	−6.94494	−	8.70868i	−0.362523	−	0.454589i	0.566801	−	0.823855i	$-0.308181\pi$
$367$	−6.94494	−	8.70868i	−0.362523	−	0.454589i	−0.929324	+	0.369265i	$0.879609\pi$
$368$	11.0514	−	7.46730i	0.576096	−	0.389260i
$369$	5.17418	−	1.18097i	0.269357	−	0.0614790i
$370$	4.12515	+	19.8744i	0.214456	+	1.03322i
$371$	−9.54122	+	5.99900i	−0.495356	+	0.311452i
$372$	−3.37932	+	12.5072i	−0.175209	+	0.648470i
$373$	10.7500			0.556615			0.278307	−	0.960492i	$-0.410227\pi$
$373$	10.7500			0.556615			0.278307	+	0.960492i	$0.410227\pi$
$374$	−0.382099	+	19.3499i	−0.0197579	+	1.00056i
$375$	4.02652	+	0.919026i	0.207928	+	0.0474583i
$376$	−11.1121	−	27.0664i	−0.573060	−	1.39584i
$377$	15.7667	−	12.5735i	0.812027	−	0.647570i
$378$	−3.70928	−	0.491186i	−0.190785	−	0.0252639i
$379$	−15.5187	−	12.3757i	−0.797141	−	0.635699i	0.137817	−	0.990458i	$-0.455991\pi$
$379$	−15.5187	−	12.3757i	−0.797141	−	0.635699i	−0.934958	+	0.354759i	$0.884563\pi$
$380$	−41.2010	−	11.1321i	−2.11357	−	0.571063i
$381$	0.547682	+	0.436762i	0.0280586	+	0.0223760i
$382$	−14.8176	+	6.77869i	−0.758132	+	0.346828i
$383$	13.1118	+	16.4417i	0.669983	+	0.840132i	0.994389	−	0.105786i	$-0.0337358\pi$
$383$	13.1118	+	16.4417i	0.669983	+	0.840132i	−0.324406	+	0.945918i	$0.605164\pi$
$384$	−6.26636	+	9.41980i	−0.319779	+	0.480702i
$385$	13.6897	+	13.6818i	0.697692	+	0.697289i
$386$	9.40918	+	20.5675i	0.478915	+	1.04686i
$387$	1.48288	−	3.07923i	0.0753791	−	0.156526i
$388$	33.8769	−	6.33659i	1.71984	−	0.321691i
$389$	−23.1359	−	11.1417i	−1.17304	−	0.564905i	−0.257163	−	0.966368i	$-0.582788\pi$
$389$	−23.1359	−	11.1417i	−1.17304	−	0.564905i	−0.915875	+	0.401463i	$0.868502\pi$
$390$	14.2651	+	11.8442i	0.722340	+	0.599755i
$391$	−18.2833			−0.924625
$392$	3.26657	+	19.5277i	0.164987	+	0.986296i
$393$	10.2361			0.516341
$394$	15.0997	+	12.5372i	0.760713	+	0.631616i
$395$	−11.5015	−	5.53882i	−0.578703	−	0.278689i
$396$	4.90657	−	0.917761i	0.246564	−	0.0461192i
$397$	6.75066	−	14.0179i	0.338806	−	0.703538i	−0.660057	−	0.751216i	$-0.729468\pi$
$397$	6.75066	−	14.0179i	0.338806	−	0.703538i	0.998863	+	0.0476781i	$0.0151822\pi$
$398$	−7.66963	−	16.7650i	−0.384444	−	0.840356i
$399$	−2.15116	+	19.1418i	−0.107692	+	0.958287i
$400$	12.4092	+	7.23373i	0.620459	+	0.361687i
$401$	10.7061	+	13.4250i	0.534635	+	0.670411i	0.973644	−	0.228072i	$-0.0732420\pi$
$401$	10.7061	+	13.4250i	0.534635	+	0.670411i	−0.439010	+	0.898482i	$0.644671\pi$
$402$	18.8846	−	8.63926i	0.941876	−	0.430887i
$403$	−22.6542	−	18.0661i	−1.12849	−	0.899937i
$404$	21.9481	+	5.93014i	1.09196	+	0.295036i
$405$	2.29157	+	1.82746i	0.113869	+	0.0908075i
$406$	−14.1060	−	9.25099i	−0.700071	−	0.459119i
$407$	−9.55534	+	7.62013i	−0.473640	+	0.377716i
$408$	14.3468	−	5.89003i	0.710271	−	0.291600i
$409$	14.0391	+	3.20433i	0.694189	+	0.158444i	0.555035	−	0.831827i	$-0.312705\pi$
$409$	14.0391	+	3.20433i	0.694189	+	0.158444i	0.139153	+	0.990271i	$0.455562\pi$
$410$	−0.434328	+	21.9948i	−0.0214499	+	1.08624i
$411$	8.42811			0.415728
$412$	−3.89843	+	14.4285i	−0.192062	+	0.710843i
$413$	1.46037	+	1.45952i	0.0718599	+	0.0718183i
$414$	0.958348	+	4.61719i	0.0471002	+	0.226922i
$415$	20.5445	−	4.68915i	1.00849	−	0.230182i
$416$	−13.7498	−	21.2416i	−0.674138	−	1.04146i
$417$	5.16063	+	6.47123i	0.252717	+	0.316897i
$418$	−5.22246	−	25.1611i	−0.255439	−	1.23067i
$419$	−2.27135	−	9.95143i	−0.110963	−	0.486159i	−0.999619	−	0.0275863i	$-0.991218\pi$
$419$	−2.27135	−	9.95143i	−0.110963	−	0.486159i	0.888657	−	0.458573i	$-0.151639\pi$
$420$	5.69224	−	14.4272i	0.277753	−	0.703975i
$421$	−8.29517	+	36.3435i	−0.404282	+	1.77127i	0.205452	+	0.978667i	$0.434134\pi$
$421$	−8.29517	+	36.3435i	−0.404282	+	1.77127i	−0.609733	+	0.792607i	$0.708723\pi$
$422$	18.8210	+	0.371655i	0.916190	+	0.0180919i
$423$	10.3445			0.502967
$424$	−11.5672	−	3.37174i	−0.561754	−	0.163746i
$425$	−8.54301	−	17.7397i	−0.414397	−	0.860504i
$426$	−11.5758	−	15.1186i	−0.560850	−	0.732496i
$427$	1.11682	+	9.88635i	0.0540466	+	0.478434i
$428$	14.2545	+	12.3189i	0.689019	+	0.595458i
$429$	−2.48422	+	10.8841i	−0.119939	+	0.525488i
$430$	10.8994	+	9.04972i	0.525616	+	0.436416i
$431$	4.10912	+	8.53268i	0.197930	+	0.411005i	0.976184	−	0.216944i	$-0.0696089\pi$
$431$	4.10912	+	8.53268i	0.197930	+	0.411005i	−0.778255	+	0.627949i	$0.783895\pi$
$432$	−2.23945	−	3.31434i	−0.107746	−	0.159461i
$433$	3.46340	−	7.19183i	0.166440	−	0.345617i	−0.801021	−	0.598637i	$-0.795709\pi$
$433$	3.46340	−	7.19183i	0.166440	−	0.345617i	0.967461	+	0.253019i	$0.0814236\pi$
$434$	−8.44883	+	22.7177i	−0.405557	+	1.09048i
$435$	5.73346	+	11.9057i	0.274899	+	0.570833i
$436$	4.48807	+	2.38402i	0.214940	+	0.114174i
$437$	23.6675	−	5.40195i	1.13217	−	0.258410i
$438$	−5.58728	−	2.82792i	−0.266971	−	0.135123i
$439$	−6.69486	+	8.39509i	−0.319528	+	0.400676i	−0.915492	−	0.402335i	$-0.868199\pi$
$439$	−6.69486	+	8.39509i	−0.319528	+	0.400676i	0.595964	+	0.803011i	$0.296770\pi$
$440$	−1.22487	+	20.6546i	−0.0583933	+	0.984671i
$441$	−6.82539	−	1.55370i	−0.325019	−	0.0739857i
$442$	−0.684803	+	34.6790i	−0.0325727	+	1.64951i
$443$	−8.11699	−	6.47308i	−0.385650	−	0.307545i	0.411405	−	0.911453i	$-0.365038\pi$
$443$	−8.11699	−	6.47308i	−0.385650	−	0.307545i	−0.797055	+	0.603907i	$0.793610\pi$
$444$	8.64920	+	4.59438i	0.410473	+	0.218039i
$445$	7.57257	+	33.1776i	0.358974	+	1.57277i
$446$	5.49457	−	10.8560i	0.260176	−	0.514044i
$447$	1.91041	−	0.920003i	0.0903591	−	0.0435146i
$448$	−13.2955	+	16.4691i	−0.628152	+	0.778091i
$449$	14.7531	+	7.10474i	0.696244	+	0.335293i	0.748309	−	0.663350i	$-0.230866\pi$
$449$	14.7531	+	7.10474i	0.696244	+	0.335293i	−0.0520652	+	0.998644i	$0.516580\pi$
$450$	−4.03213	+	3.08728i	−0.190076	+	0.145536i
$451$	−11.9342	+	5.74722i	−0.561960	+	0.270626i
$452$	−12.7304	+	14.7306i	−0.598786	+	0.692870i
$453$	−3.07067	−	0.700861i	−0.144273	−	0.0329293i
$454$	15.2007	+	12.6211i	0.713406	+	0.592338i
$455$	24.5348	+	24.5207i	1.15021	+	1.14955i
$456$	−16.8315	+	11.8635i	−0.788206	+	0.555557i
$457$	−4.52788	+	2.18051i	−0.211806	+	0.102000i	−0.536779	−	0.843723i	$-0.680359\pi$
$457$	−4.52788	+	2.18051i	−0.211806	+	0.102000i	0.324973	+	0.945723i	$0.394645\pi$
$458$	9.20122	−	36.9359i	0.429945	−	1.72590i
$459$			5.48318i			0.255933i
$460$	−19.5314	−	0.771668i	−0.910654	−	0.0359792i
$461$	10.2809	+	2.34655i	0.478829	+	0.109290i	0.455122	−	0.890429i	$-0.349596\pi$
$461$	10.2809	+	2.34655i	0.478829	+	0.109290i	0.0237077	+	0.999719i	$0.492453\pi$
$462$	9.29841	−	0.864857i	0.432601	−	0.0402368i
$463$	13.1106	−	2.99242i	0.609303	−	0.139070i	0.0932741	−	0.995640i	$-0.470267\pi$
$463$	13.1106	−	2.99242i	0.609303	−	0.139070i	0.516029	+	0.856571i	$0.327410\pi$
$464$	−2.61326	−	17.8433i	−0.121318	−	0.828355i
$465$	14.8445	−	11.8381i	0.688395	−	0.548977i
$466$	32.1783	−	24.6379i	1.49063	−	1.14133i
$467$	6.63835	+	29.0845i	0.307186	+	1.34587i	0.859031	+	0.511924i	$0.171067\pi$
$467$	6.63835	+	29.0845i	0.307186	+	1.34587i	−0.551845	+	0.833947i	$0.686076\pi$
$468$	8.79360	−	1.64482i	0.406484	−	0.0760319i
$469$	36.6674	−	12.8424i	1.69314	−	0.593005i
$470$	−10.3649	+	41.6073i	−0.478099	+	1.91920i
$471$			23.2797i			1.07267i
$472$	−0.130664	+	2.20336i	−0.00601430	+	0.101418i
$473$	−1.89810	+	8.31611i	−0.0872747	+	0.382375i
$474$	−5.60112	+	2.56239i	−0.257268	+	0.117694i
$475$	16.3002	+	20.4398i	0.747904	+	0.937842i
$476$	27.7406	−	8.50220i	1.27149	−	0.389697i
$477$	2.65596	−	3.33047i	0.121608	−	0.152492i
$478$	−4.92285	+	19.7615i	−0.225166	+	0.903871i
$479$	−19.4550	+	24.3958i	−0.888920	+	1.11467i	0.103844	+	0.994594i	$0.466886\pi$
$479$	−19.4550	+	24.3958i	−0.888920	+	1.11467i	−0.992765	+	0.120077i	$0.961686\pi$
$480$	15.5747	−	5.68658i	0.710886	−	0.259556i
$481$	−17.1252	+	13.6569i	−0.780841	+	0.622700i
$482$	15.1661	+	7.67609i	0.690797	+	0.349636i
$483$	0.990293	+	8.76631i	0.0450599	+	0.398881i
$484$	8.75348	−	3.79736i	0.397885	−	0.172607i
$485$	−45.5062	−	21.9146i	−2.06633	−	0.995091i
$486$	1.38470	−	0.287410i	0.0628113	−	0.0130372i
$487$	1.41544	−	2.93920i	0.0641399	−	0.133188i	−0.866434	−	0.499291i	$-0.833594\pi$
$487$	1.41544	−	2.93920i	0.0641399	−	0.133188i	0.930574	+	0.366103i	$0.119308\pi$
$488$	−7.11219	+	7.90854i	−0.321954	+	0.358003i
$489$			8.33422i			0.376886i
$490$	13.0881	−	25.8961i	0.591262	−	1.16987i
$491$		−	40.1412i		−	1.81155i	−0.423761	−	0.905774i	$-0.639290\pi$
$491$		−	40.1412i		−	1.81155i	0.423761	−	0.905774i	$-0.360710\pi$
$492$	8.03100	+	6.94049i	0.362066	+	0.312901i
$493$	−10.7258	+	22.2724i	−0.483066	+	1.00310i
$494$	−9.35975	−	45.0940i	−0.421115	−	2.02887i
$495$	−6.59090	−	3.17401i	−0.296239	−	0.142661i
$496$	−24.1596	+	9.36566i	−1.08480	+	0.420531i
$497$	−18.9613	−	30.1573i	−0.850529	−	1.35274i
$498$	4.59156	−	9.07182i	0.205753	−	0.406518i
$499$	5.70824	−	4.55217i	0.255536	−	0.203783i	−0.487340	−	0.873212i	$-0.662033\pi$
$499$	5.70824	−	4.55217i	0.255536	−	0.203783i	0.742876	+	0.669429i	$0.233461\pi$
$500$	3.28734	+	7.57781i	0.147014	+	0.338890i
$501$	−6.02802	+	7.55889i	−0.269312	+	0.337706i
$502$	−15.2306	−	3.79415i	−0.679777	−	0.169341i
$503$	−4.31375	+	5.40927i	−0.192341	+	0.241187i	−0.868645	−	0.495435i	$-0.835009\pi$
$503$	−4.31375	+	5.40927i	−0.192341	+	0.241187i	0.676305	+	0.736622i	$0.263580\pi$
$504$	−3.60118	−	6.55984i	−0.160409	−	0.292199i
$505$	−20.7738	−	26.0496i	−0.924424	−	1.15919i
$506$	−4.89617	−	10.7025i	−0.217661	−	0.475786i
$507$	−1.55947	+	6.83250i	−0.0692587	+	0.303442i
$508$	−0.0553101	+	1.39993i	−0.00245399	+	0.0621119i
$509$		−	17.0705i		−	0.756637i	−0.925676	−	0.378318i	$-0.876502\pi$
$509$		−	17.0705i		−	0.756637i	0.925676	−	0.378318i	$-0.123498\pi$
$510$	−22.0543	−	5.49401i	−0.976581	−	0.243279i
$511$	−9.92157	−	6.23013i	−0.438904	−	0.275605i
$512$	−22.6027	+	1.05633i	−0.998910	+	0.0466837i
$513$	−1.62005	−	7.09791i	−0.0715271	−	0.313381i
$514$	−15.8067	−	20.6442i	−0.697202	−	0.910578i
$515$	17.1248	−	13.6566i	0.754609	−	0.601780i
$516$	6.71886	−	1.25675i	0.295781	−	0.0553252i
$517$	−25.1708	+	5.74507i	−1.10701	+	0.252668i
$518$	15.3214	+	10.0481i	0.673185	+	0.441486i
$519$	15.1049	+	3.44759i	0.663031	+	0.151333i
$520$	−2.19522	+	37.0175i	−0.0962668	+	1.62332i
$521$		−	29.1846i		−	1.27860i	−0.768957	−	0.639300i	$-0.779224\pi$
$521$		−	29.1846i		−	1.27860i	0.768957	−	0.639300i	$-0.220776\pi$
$522$	6.18679	+	1.54121i	0.270788	+	0.0674569i
$523$	32.6740	−	15.7350i	1.42874	−	0.688043i	0.449974	−	0.893042i	$-0.351433\pi$
$523$	32.6740	−	15.7350i	1.42874	−	0.688043i	0.978762	+	0.204999i	$0.0657190\pi$
$524$	12.1223	+	16.4972i	0.529566	+	0.720682i
$525$	−8.04298	+	5.05699i	−0.351025	+	0.220705i
$526$	−22.9620	+	27.6552i	−1.00119	+	1.20582i
$527$	34.6287	+	7.90378i	1.50845	+	0.344294i
$528$	7.28986	+	6.82089i	0.317250	+	0.296841i
$529$	−10.7049	+	5.15523i	−0.465432	+	0.224140i
$530$	10.7345	+	14.0198i	0.466277	+	0.608980i
$531$	−0.703091	−	0.338591i	−0.0305116	−	0.0146936i
$532$	−33.3978	+	19.2022i	−1.44798	+	0.832521i
$533$	−21.3886	+	10.3002i	−0.926444	+	0.446152i
$534$	14.6502	+	7.41496i	0.633975	+	0.320877i
$535$	−6.14388	−	26.9181i	−0.265623	−	1.16377i
$536$	36.2882	+	20.2045i	1.56741	+	0.872700i
$537$	−4.52751	−	3.61057i	−0.195376	−	0.155807i
$538$	8.23510	+	0.162618i	0.355040	+	0.00701094i
$539$	17.4708	−	0.0101018i	0.752521	−	0.000435114i
$540$	−0.231424	+	5.85748i	−0.00995891	+	0.252066i
$541$	23.9490	−	30.0312i	1.02965	−	1.29114i	0.0738039	−	0.997273i	$-0.476486\pi$
$541$	23.9490	−	30.0312i	1.02965	−	1.29114i	0.955846	−	0.293868i	$-0.0949425\pi$
$542$	7.72499	−	15.2627i	0.331817	−	0.655590i
$543$	−24.7579	+	5.65082i	−1.06246	+	0.242500i
$544$	26.4833	+	16.1469i	1.13546	+	0.692291i
$545$	−3.23143	−	6.71013i	−0.138419	−	0.287430i
$546$	16.6647	−	1.55001i	0.713184	−	0.0663342i
$547$	0.408444	−	0.848143i	0.0174638	−	0.0362640i	−0.892054	−	0.451928i	$-0.850736\pi$
$547$	0.408444	−	0.848143i	0.0174638	−	0.0362640i	0.909518	+	0.415664i	$0.136451\pi$
$548$	9.98122	+	13.5834i	0.426376	+	0.580252i
$549$	−1.63160	−	3.38805i	−0.0696350	−	0.144599i
$550$	8.09660	−	9.75147i	0.345240	−	0.415804i
$551$	7.30387	−	32.0004i	0.311155	−	1.36326i
$552$	−6.30644	+	7.01257i	−0.268420	+	0.298475i
$553$	−10.8755	+	3.80902i	−0.462472	+	0.161976i
$554$	2.83161	−	2.16808i	0.120304	−	0.0921128i
$555$	−6.22746	−	12.9315i	−0.264341	−	0.548910i
$556$	−4.31788	+	15.9810i	−0.183119	+	0.677744i
$557$	40.5079			1.71638			0.858188	−	0.513335i	$-0.171590\pi$
$557$	40.5079			1.71638			0.858188	+	0.513335i	$0.171590\pi$
$558$	0.180867	−	9.15929i	0.00765672	−	0.387744i
$559$	−3.40179	+	14.9042i	−0.143881	+	0.630382i
$560$	29.9931	−	7.91176i	1.26744	−	0.334333i
$561$	−3.04522	−	13.3420i	−0.128569	−	0.563298i
$562$	−30.0953	+	6.24660i	−1.26949	+	0.263497i
$563$	4.85749	+	6.09111i	0.204719	+	0.256709i	0.873583	−	0.486675i	$-0.161791\pi$
$563$	4.85749	+	6.09111i	0.204719	+	0.256709i	−0.668864	+	0.743385i	$0.733219\pi$
$564$	12.2507	+	16.6719i	0.515849	+	0.702015i
$565$	27.8171	−	6.34908i	1.17028	−	0.267108i
$566$	38.8434	−	8.06239i	1.63271	−	0.338887i
$567$	2.62903	−	0.296990i	0.110409	−	0.0124724i
$568$	10.6572	−	36.5610i	0.447166	−	1.53406i
$569$	−11.3376			−0.475296			−0.237648	−	0.971351i	$-0.576376\pi$
$569$	−11.3376			−0.475296			−0.237648	+	0.971351i	$0.576376\pi$
$570$	30.1723	+	0.595809i	1.26378	+	0.0249557i
$571$	7.52953	+	1.71857i	0.315101	+	0.0719198i	0.377147	−	0.926154i	$-0.376905\pi$
$571$	7.52953	+	1.71857i	0.315101	+	0.0719198i	−0.0620456	+	0.998073i	$0.519762\pi$
$572$	−20.4836	+	8.88601i	−0.856461	+	0.371543i
$573$	9.00822	−	7.18382i	0.376324	−	0.300108i
$574$	13.7658	+	14.3122i	0.574574	+	0.597378i
$575$	9.36138	+	7.46545i	0.390396	+	0.311331i
$576$	2.68950	−	7.53436i	0.112062	−	0.313932i
$577$	−31.5596	−	25.1679i	−1.31384	−	1.04775i	−0.994993	−	0.0999482i	$-0.968132\pi$
$577$	−31.5596	−	25.1679i	−1.31384	−	1.04775i	−0.318849	−	0.947806i	$-0.603296\pi$
$578$	−7.68667	−	16.8023i	−0.319723	−	0.698883i
$579$	−9.97151	−	12.5039i	−0.414402	−	0.519644i
$580$	−12.3980	+	23.3401i	−0.514800	+	0.969143i
$581$	10.1156	−	16.1092i	0.419665	−	0.668322i
$582$	−22.1611	+	10.1382i	−0.918607	+	0.420242i
$583$	−4.61297	+	9.57893i	−0.191050	+	0.396719i
$584$	−2.05921	−	12.3539i	−0.0852108	−	0.511208i
$585$	−11.8123	−	5.68849i	−0.488378	−	0.235190i
$586$	8.06008	−	9.70749i	0.332959	−	0.401013i
$587$	27.4296			1.13214			0.566071	−	0.824357i	$-0.308463\pi$
$587$	27.4296			1.13214			0.566071	+	0.824357i	$0.308463\pi$
$588$	−5.57910	−	12.8403i	−0.230078	−	0.529526i
$589$	−47.1617			−1.94326
$590$	2.06635	−	2.48869i	0.0850704	−	0.102458i
$591$	−12.5034	−	6.02133i	−0.514322	−	0.247684i
$592$	2.83842	+	19.3807i	0.116658	+	0.796542i
$593$	−13.9414	+	28.9496i	−0.572505	+	1.18882i	0.390817	+	0.920469i	$0.372193\pi$
$593$	−13.9414	+	28.9496i	−0.572505	+	1.18882i	−0.963321	+	0.268350i	$0.913522\pi$
$594$	−3.20971	+	1.46837i	−0.131696	+	0.0602479i
$595$	−40.1387	−	14.0321i	−1.64553	−	0.575261i
$596$	3.74519	+	1.98941i	0.153409	+	0.0814894i
$597$	8.12800	+	10.1922i	0.332657	+	0.417138i
$598$	−8.77497	−	19.1812i	−0.358835	−	0.784378i
$599$	3.68468	+	2.93844i	0.150552	+	0.120061i	0.695869	−	0.718169i	$-0.255019\pi$
$599$	3.68468	+	2.93844i	0.150552	+	0.120061i	−0.545317	+	0.838230i	$0.683591\pi$
$600$	−9.75084	−	2.84228i	−0.398076	−	0.116036i
$601$	20.0122	+	15.9592i	0.816316	+	0.650990i	0.939940	−	0.341339i	$-0.110880\pi$
$601$	20.0122	+	15.9592i	0.816316	+	0.650990i	−0.123624	+	0.992329i	$0.539452\pi$
$602$	12.7329	−	1.18430i	0.518953	−	0.0482686i
$603$	−11.4807	+	9.15558i	−0.467531	+	0.372844i
$604$	−2.50697	−	5.77893i	−0.102007	−	0.235141i
$605$	−13.6328	−	3.11161i	−0.554254	−	0.126505i
$606$	−16.0730	−	0.317392i	−0.652923	−	0.0128932i
$607$	37.4490			1.52001			0.760003	−	0.649919i	$-0.225197\pi$
$607$	37.4490			1.52001			0.760003	+	0.649919i	$0.225197\pi$
$608$	−39.0531	−	13.0772i	−1.58381	−	0.530351i
$609$	11.2599	+	3.93636i	0.456275	+	0.159509i
$610$	15.2622	−	3.16783i	0.617947	−	0.128262i
$611$	−45.1114	+	10.2964i	−1.82501	+	0.416547i
$612$	−8.83709	+	6.49360i	−0.357218	+	0.262488i
$613$	−23.7731	−	29.8106i	−0.960188	−	1.20404i	−0.978926	−	0.204213i	$-0.934536\pi$
$613$	−23.7731	−	29.8106i	−0.960188	−	1.20404i	0.0187384	−	0.999824i	$-0.494035\pi$
$614$	−23.3218	+	4.84069i	−0.941190	+	0.195354i
$615$	−3.46146	−	15.1657i	−0.139580	−	0.611538i
$616$	12.4058	+	13.9618i	0.499842	+	0.562535i
$617$	−3.10337	+	13.5968i	−0.124937	+	0.547385i	0.873254	+	0.487265i	$0.162005\pi$
$617$	−3.10337	+	13.5968i	−0.124937	+	0.547385i	−0.998191	+	0.0601201i	$0.980852\pi$
$618$	0.208651	−	10.5663i	0.00839319	−	0.425039i
$619$	31.0702			1.24882			0.624409	−	0.781097i	$-0.285340\pi$
$619$	31.0702			1.24882			0.624409	+	0.781097i	$0.285340\pi$
$620$	36.6590	+	9.90487i	1.47226	+	0.397789i
$621$	−1.44675	−	3.00422i	−0.0580563	−	0.120555i
$622$	7.08440	−	5.42431i	0.284059	−	0.217495i
$623$	26.0149	+	16.3358i	1.04227	+	0.654479i
$624$	13.0650	+	12.2245i	0.523017	+	0.489371i
$625$	6.68896	−	29.3062i	0.267558	−	1.17225i
$626$	−14.5937	+	17.5765i	−0.583281	+	0.702499i
$627$	7.88400	+	16.3713i	0.314857	+	0.653807i
$628$	−37.5193	+	27.5697i	−1.49718	+	1.10015i
$629$	11.6499	−	24.1914i	0.464514	−	0.964572i
$630$	−1.43968	+	10.8720i	−0.0573582	+	0.433150i
$631$	−10.2108	−	21.2030i	−0.406486	−	0.844077i	−0.999251	−	0.0387014i	$-0.987678\pi$
$631$	−10.2108	−	21.2030i	−0.406486	−	0.844077i	0.592765	−	0.805376i	$-0.298036\pi$
$632$	−10.7630	−	5.99260i	−0.428129	−	0.238373i
$633$	−12.9773	+	2.96198i	−0.515801	+	0.117728i
$634$	−4.48259	+	8.85652i	−0.178027	+	0.351737i
$635$	1.28016	−	1.60527i	0.0508017	−	0.0637033i
$636$	8.51301	+	0.336342i	0.337563	+	0.0133368i
$637$	31.3114	−	0.0181045i	1.24060	−	0.000717327i
$638$	−15.9100	−	0.314172i	−0.629882	−	0.0124382i
$639$	10.5267	+	8.39480i	0.416432	+	0.332093i
$640$	27.6097	+	18.3669i	1.09137	+	0.726014i
$641$	4.90706	+	21.4992i	0.193817	+	0.849169i	0.974526	+	0.224274i	$0.0720011\pi$
$641$	4.90706	+	21.4992i	0.193817	+	0.849169i	−0.780709	+	0.624895i	$0.785142\pi$
$642$	−11.8862	−	6.01601i	−0.469111	−	0.237433i
$643$	−21.2639	+	10.2401i	−0.838565	+	0.403832i	−0.803320	−	0.595547i	$-0.796935\pi$
$643$	−21.2639	+	10.2401i	−0.838565	+	0.403832i	−0.0352446	+	0.999379i	$0.511221\pi$
$644$	−12.9556	+	11.9778i	−0.510524	+	0.471990i
$645$	−9.02532	−	4.34636i	−0.355372	−	0.171138i
$646$	34.3211	+	44.8250i	1.35035	+	1.76362i
$647$	−26.0229	+	12.5320i	−1.02307	+	0.492683i	−0.868704	−	0.495331i	$-0.835047\pi$
$647$	−26.0229	+	12.5320i	−1.02307	+	0.492683i	−0.154363	+	0.988014i	$0.549333\pi$
$648$	2.10308	+	1.89131i	0.0826168	+	0.0742977i
$649$	1.89884	+	0.433399i	0.0745362	+	0.0170124i
$650$	14.5108	−	17.4767i	0.569161	−	0.685492i
$651$	1.91401	−	17.0316i	0.0750161	−	0.667521i
$652$	−13.4320	+	9.87002i	−0.526039	+	0.386540i
$653$	12.8301	−	6.17866i	0.502081	−	0.241790i	−0.165660	−	0.986183i	$-0.552975\pi$
$653$	12.8301	−	6.17866i	0.502081	−	0.241790i	0.667741	+	0.744393i	$0.267261\pi$
$654$	−3.48692	−	0.868638i	−0.136349	−	0.0339664i
$655$		−	30.0021i		−	1.17228i
$656$	−1.67486	+	21.1628i	−0.0653924	+	0.826269i
$657$	4.31701	+	0.985329i	0.168423	+	0.0384413i
$658$	19.9511	+	33.1673i	0.777776	+	1.29300i
$659$	−2.23896	+	0.511028i	−0.0872175	+	0.0199068i	−0.265907	−	0.963999i	$-0.585671\pi$
$659$	−2.23896	+	0.511028i	−0.0872175	+	0.0199068i	0.178689	+	0.983906i	$0.442814\pi$
$660$	−2.68998	−	14.3813i	−0.104707	−	0.559790i
$661$	−23.5523	+	18.7823i	−0.916079	+	0.730548i	−0.963326	−	0.268335i	$-0.913527\pi$
$661$	−23.5523	+	18.7823i	−0.916079	+	0.730548i	0.0472469	+	0.998883i	$0.484955\pi$
$662$	4.03406	+	5.26867i	0.156788	+	0.204773i
$663$	−5.45767	−	23.9116i	−0.211958	−	0.928651i
$664$	20.0585	−	3.34345i	0.778420	−	0.129751i
$665$	56.1050	+	6.30509i	2.17566	+	0.244501i
$666$	−6.71984	−	1.67400i	−0.260388	−	0.0648662i
$667$		−	15.0330i		−	0.582080i
$668$	−19.3213	−	0.763368i	−0.747564	−	0.0295356i
$669$	−1.91447	+	8.38784i	−0.0740177	+	0.324293i
$670$	−25.3219	−	55.3511i	−0.978270	−	2.13840i
$671$	5.85174	+	7.33785i	0.225904	+	0.283274i
$672$	6.30752	−	13.5726i	0.243318	−	0.523574i
$673$	1.18837	−	1.49017i	0.0458082	−	0.0574417i	−0.758400	−	0.651790i	$-0.774018\pi$
$673$	1.18837	−	1.49017i	0.0458082	−	0.0574417i	0.804208	+	0.594348i	$0.202590\pi$
$674$	−2.50192	−	0.623260i	−0.0963702	−	0.0240071i
$675$	2.23890	−	2.80749i	0.0861753	−	0.108060i
$676$	−12.8586	+	5.57821i	−0.494562	+	0.214547i
$677$	−14.8986	+	11.8812i	−0.572600	+	0.456633i	−0.866482	−	0.499208i	$-0.833624\pi$
$677$	−14.8986	+	11.8812i	−0.572600	+	0.456633i	0.293882	+	0.955842i	$0.405053\pi$
$678$	6.21694	−	12.2832i	0.238760	−	0.471732i
$679$	−43.0293	+	15.0706i	−1.65131	+	0.578355i
$680$	−17.2638	−	42.0507i	−0.662038	−	1.61257i
$681$	−12.5871	−	6.06161i	−0.482337	−	0.232281i
$682$	4.64674	+	22.3873i	0.177933	+	0.857255i
$683$	−8.95135	+	18.5877i	−0.342514	+	0.711237i	−0.999073	−	0.0430367i	$-0.986297\pi$
$683$	−8.95135	+	18.5877i	−0.342514	+	0.711237i	0.656560	+	0.754274i	$0.272011\pi$
$684$	9.52092	−	11.0169i	0.364042	−	0.421241i
$685$		−	24.7030i		−	0.943854i
$686$	−8.18235	−	24.8807i	−0.312404	−	0.949949i
$687$			26.9158i			1.02690i
$688$	9.98245	+	9.34027i	0.380577	+	0.356094i
$689$	−8.26741	+	17.1675i	−0.314963	+	0.654028i
$690$	13.5331	−	2.80894i	0.515196	−	0.106935i
$691$	−3.12595	−	1.50538i	−0.118917	−	0.0572673i	0.373479	−	0.927638i	$-0.378165\pi$
$691$	−3.12595	−	1.50538i	−0.118917	−	0.0572673i	−0.492396	+	0.870371i	$0.663879\pi$
$692$	12.3320	+	28.4271i	0.468792	+	1.08063i
$693$	−6.23216	+	2.18275i	−0.236740	+	0.0829158i
$694$	39.9214	+	20.2056i	1.51540	+	0.766995i
$695$	18.9673	−	15.1259i	0.719472	−	0.573760i
$696$	4.84294	+	11.7963i	0.183571	+	0.447137i
$697$	18.1439	−	22.7517i	0.687250	−	0.861784i
$698$	−10.8654	+	43.6161i	−0.411260	+	1.65090i
$699$	−17.8675	+	22.4051i	−0.675810	+	0.847439i
$700$	−17.6753	−	6.97379i	−0.668064	−	0.263584i
$701$	−14.7577	−	18.5056i	−0.557392	−	0.698947i	0.420682	−	0.907208i	$-0.361791\pi$
$701$	−14.7577	−	18.5056i	−0.557392	−	0.698947i	−0.978073	+	0.208261i	$0.933220\pi$
$702$	−5.75247	+	2.63163i	−0.217113	+	0.0993244i
$703$	−7.93317	+	34.7575i	−0.299205	+	1.31090i
$704$	−2.35984	+	19.8267i	−0.0889397	+	0.747247i
$705$		−	30.3200i		−	1.14192i
$706$	2.39891	−	9.62981i	0.0902843	−	0.362423i
$707$	−29.8876	−	3.35878i	−1.12404	−	0.126320i
$708$	−0.286957	−	1.53414i	−0.0107845	−	0.0576565i
$709$	−3.96091	−	17.3539i	−0.148755	−	0.651738i	−0.993232	−	0.116147i	$-0.962946\pi$
$709$	−3.96091	−	17.3539i	−0.148755	−	0.651738i	0.844477	−	0.535592i	$-0.179911\pi$
$710$	−44.3129	+	33.9290i	−1.66303	+	1.27333i
$711$	3.40516	−	2.71553i	0.127704	−	0.101840i
$712$	5.39937	+	32.3927i	0.202350	+	1.21397i
$713$	−21.0584	+	4.80644i	−0.788643	+	0.180003i
$714$	−17.5806	+	10.5753i	−0.657938	+	0.395769i
$715$	31.9015	+	7.28131i	1.19305	+	0.272306i
$716$	0.457230	−	11.5728i	0.0170875	−	0.432495i
$717$		−	14.4006i		−	0.537799i
$718$	−5.84629	+	23.4684i	−0.218182	+	0.875834i
$719$	−16.6145	+	8.00113i	−0.619617	+	0.298392i	−0.717234	−	0.696832i	$-0.754592\pi$
$719$	−16.6145	+	8.00113i	−0.619617	+	0.298392i	0.0976174	+	0.995224i	$0.468878\pi$
$720$	−9.71442	+	6.56390i	−0.362035	+	0.244622i
$721$	2.20803	−	19.6479i	0.0822315	−	0.731726i
$722$	−36.9992	−	30.7203i	−1.37697	−	1.14329i
$723$	−11.7181	−	2.67457i	−0.435799	−	0.0994684i
$724$	−38.4274	−	33.2094i	−1.42814	−	1.23422i
$725$	14.5861	−	7.02429i	0.541714	−	0.260876i
$726$	−5.35702	+	4.10171i	−0.198818	+	0.152229i
$727$	9.62263	+	4.63402i	0.356884	+	0.171866i	0.603731	−	0.797188i	$-0.293680\pi$
$727$	9.62263	+	4.63402i	0.356884	+	0.171866i	−0.246847	+	0.969054i	$0.579395\pi$
$728$	22.2337	+	25.0224i	0.824037	+	0.927392i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−8.28870	+	16.3765i	−0.306779	+	0.606121i
$731$	−4.17000	−	18.2700i	−0.154233	−	0.675739i
$732$	3.52817	−	6.64200i	0.130405	−	0.245495i
$733$	15.0741	+	12.0212i	0.556776	+	0.444014i	0.861013	−	0.508582i	$-0.169830\pi$
$733$	15.0741	+	12.0212i	0.556776	+	0.444014i	−0.304238	+	0.952596i	$0.598402\pi$
$734$	−0.311005	+	15.7496i	−0.0114794	+	0.581328i
$735$	−4.55394	+	20.0054i	−0.167974	+	0.737911i
$736$	−18.7705	−	1.85910i	−0.691891	−	0.0685273i
$737$	22.8508	−	28.6539i	0.841719	−	1.05548i
$738$	−6.69668	−	3.38942i	−0.246508	−	0.124766i
$739$	16.3126	−	3.72325i	0.600069	−	0.136962i	0.0883134	−	0.996093i	$-0.471852\pi$
$739$	16.3126	−	3.72325i	0.600069	−	0.136962i	0.511756	+	0.859131i	$0.328995\pi$
$740$	13.4662	−	25.3510i	0.495029	−	0.931923i
$741$	14.1298	+	29.3408i	0.519071	+	1.07786i
$742$	15.8009	+	2.09237i	0.580069	+	0.0768132i
$743$	−1.62949	+	3.38367i	−0.0597801	+	0.124135i	−0.928719	−	0.370786i	$-0.879088\pi$
$743$	−1.62949	+	3.38367i	−0.0597801	+	0.124135i	0.868938	+	0.494920i	$0.164803\pi$
$744$	14.9760	−	10.5556i	0.549046	−	0.386988i
$745$	−2.69655	−	5.59945i	−0.0987940	−	0.205148i
$746$	−11.6966	−	9.71162i	−0.428242	−	0.355568i
$747$	−1.59983	+	7.00933i	−0.0585349	+	0.256458i
$748$	17.8965	−	20.7085i	0.654361	−	0.757177i
$749$	−21.1068	−	13.2538i	−0.771225	−	0.484282i
$750$	−3.55081	−	4.63752i	−0.129657	−	0.169338i
$751$	−21.1373	−	43.8921i	−0.771312	−	1.60165i	−0.798485	−	0.602015i	$-0.794365\pi$
$751$	−21.1373	−	43.8921i	−0.771312	−	1.60165i	0.0271727	−	0.999631i	$-0.491350\pi$
$752$	−12.3614	+	39.4884i	−0.450775	+	1.43999i
$753$	11.0988			0.404464
$754$	−28.5140	−	0.563063i	−1.03842	−	0.0205055i
$755$	−2.05424	+	9.00022i	−0.0747615	+	0.327552i
$756$	3.59215	+	3.88542i	0.130645	+	0.141311i
$757$	−3.72193	−	16.3068i	−0.135276	−	0.592682i	−0.996436	−	0.0843487i	$-0.973119\pi$
$757$	−3.72193	−	16.3068i	−0.135276	−	0.592682i	0.861161	−	0.508333i	$-0.169738\pi$
$758$	5.70484	+	27.4851i	0.207209	+	0.998304i
$759$	5.18879	+	6.50653i	0.188341	+	0.236172i
$760$	34.7721	+	49.3335i	1.26132	+	1.78951i
$761$	−15.0066	+	3.42515i	−0.543988	+	0.124162i	−0.485680	−	0.874137i	$-0.661428\pi$
$761$	−15.0066	+	3.42515i	−0.543988	+	0.124162i	−0.0583085	+	0.998299i	$0.518571\pi$
$762$	−0.201334	−	0.970000i	−0.00729357	−	0.0351394i
$763$	−6.34618	−	2.21857i	−0.229747	−	0.0803175i
$764$	22.2462	+	6.01068i	0.804839	+	0.217459i
$765$	16.0713			0.581061
$766$	0.587168	−	29.7347i	0.0212152	−	1.07436i
$767$	3.40313	+	0.776742i	0.122880	+	0.0280465i
$768$	15.3280	−	4.58818i	0.553103	−	0.165562i
$769$	−29.7179	+	23.6993i	−1.07166	+	0.854618i	−0.989862	−	0.142032i	$-0.954637\pi$
$769$	−29.7179	+	23.6993i	−1.07166	+	0.854618i	−0.0817944	+	0.996649i	$0.526065\pi$
$770$	−2.53492	−	27.2539i	−0.0913522	−	0.982161i
$771$	14.3742	+	11.4630i	0.517673	+	0.412830i
$772$	8.34314	−	30.8789i	0.300276	−	1.11135i
$773$	2.89257	+	2.30675i	0.104039	+	0.0829681i	0.674128	−	0.738615i	$-0.264520\pi$
$773$	2.89257	+	2.30675i	0.104039	+	0.0829681i	−0.570089	+	0.821583i	$0.693091\pi$
$774$	−4.39525	+	2.01073i	−0.157984	+	0.0722741i
$775$	−14.5033	−	18.1865i	−0.520973	−	0.653279i
$776$	−42.5843	−	23.7100i	−1.52869	−	0.851140i
$777$	−12.2301	−	4.27552i	−0.438751	−	0.153383i
$778$	15.1077	+	33.0239i	0.541636	+	1.18396i
$779$	−16.7649	+	34.8127i	−0.600665	+	1.24729i
$780$	−4.82102	−	25.7743i	−0.172620	−	0.922867i
$781$	−30.2765	−	14.5804i	−1.08338	−	0.521728i
$782$	19.8932	+	16.5172i	0.711378	+	0.590654i
$783$	−4.50842			−0.161118
$784$	14.0872	−	24.1982i	0.503114	−	0.864220i
$785$	68.2336			2.43536
$786$	−11.1374	−	9.24731i	−0.397257	−	0.329840i
$787$	29.9831	+	14.4391i	1.06878	+	0.514699i	0.883714	−	0.468026i	$-0.155035\pi$
$787$	29.9831	+	14.4391i	1.06878	+	0.514699i	0.185069	+	0.982725i	$0.440749\pi$
$788$	−5.10309	−	27.2823i	−0.181790	−	0.971892i
$789$	11.0281	−	22.9000i	0.392610	−	0.815263i
$790$	7.51042	+	16.4170i	0.267209	+	0.584092i
$791$	13.6964	−	21.8117i	0.486989	−	0.775536i
$792$	−6.16771	−	3.43404i	−0.219160	−	0.122023i
$793$	10.4876	+	13.1510i	0.372424	+	0.467005i
$794$	−20.0089	+	9.15362i	−0.710089	+	0.324850i
$795$	−9.76169	−	7.78469i	−0.346211	−	0.276094i
$796$	−6.80067	+	25.1700i	−0.241043	+	0.892129i
$797$	22.8963	+	18.2592i	0.811028	+	0.646773i	0.938581	−	0.345059i	$-0.112141\pi$
$797$	22.8963	+	18.2592i	0.811028	+	0.646773i	−0.127553	+	0.991832i	$0.540712\pi$
$798$	19.6333	−	18.8839i	0.695013	−	0.668482i
$799$	44.3460	−	35.3648i	1.56885	−	1.25112i
$800$	−6.96686	−	19.0812i	−0.246316	−	0.674622i
$801$	−11.3194	−	2.58359i	−0.399953	−	0.0912866i
$802$	0.479434	−	24.2790i	0.0169294	−	0.857321i
$803$	−11.0516			−0.390003
$804$	−28.3522	−	7.66044i	−0.999903	−	0.270163i
$805$	25.6943	−	2.90257i	0.905605	−	0.102302i
$806$	8.32793	+	40.1228i	0.293339	+	1.41327i
$807$	−5.67821	+	1.29601i	−0.199882	+	0.0456218i
$808$	−18.5234	−	26.2804i	−0.651651	−	0.924540i
$809$	28.2385	+	35.4100i	0.992814	+	1.24495i	0.969467	+	0.245222i	$0.0788607\pi$
$809$	28.2385	+	35.4100i	0.992814	+	1.24495i	0.0233467	+	0.999727i	$0.492568\pi$
$810$	−0.842406	−	4.05859i	−0.0295991	−	0.142604i
$811$	−5.76859	−	25.2738i	−0.202563	−	0.887485i	−0.969370	−	0.245607i	$-0.921013\pi$
$811$	−5.76859	−	25.2738i	−0.202563	−	0.887485i	0.766807	−	0.641878i	$-0.221844\pi$
$812$	6.99073	+	22.8090i	0.245327	+	0.800441i
$813$	−2.69161	+	11.7927i	−0.0943989	+	0.413589i
$814$	17.2808	+	0.341241i	0.605691	+	0.0119605i
$815$	24.4278			0.855669
$816$	−20.9311	−	6.55228i	−0.732736	−	0.229376i
$817$	10.7960	+	22.4182i	0.377706	+	0.784314i
$818$	−12.3805	−	16.1695i	−0.432873	−	0.565353i
$819$	−11.1693	+	3.91195i	−0.390288	+	0.136694i
$820$	20.3427	−	23.5391i	0.710400	−	0.822020i
$821$	1.92096	−	8.41630i	0.0670421	−	0.293731i	−0.930281	−	0.366847i	$-0.880437\pi$
$821$	1.92096	−	8.41630i	0.0670421	−	0.293731i	0.997323	+	0.0731162i	$0.0232944\pi$
$822$	−9.17023	−	7.61400i	−0.319849	−	0.265569i
$823$	4.19443	+	8.70983i	0.146209	+	0.303606i	0.961193	−	0.275878i	$-0.0889686\pi$
$823$	4.19443	+	8.70983i	0.146209	+	0.303606i	−0.814984	+	0.579484i	$0.803254\pi$
$824$	17.2765	−	12.1771i	0.601856	−	0.424211i
$825$	−3.88860	+	8.07477i	−0.135384	+	0.281127i
$826$	−0.270415	−	2.90734i	−0.00940896	−	0.101159i
$827$	−0.564022	−	1.17120i	−0.0196130	−	0.0407268i	0.890932	−	0.454136i	$-0.150052\pi$
$827$	−0.564022	−	1.17120i	−0.0196130	−	0.0407268i	−0.910545	+	0.413410i	$0.864338\pi$
$828$	3.12846	−	5.88952i	0.108721	−	0.204675i
$829$	−31.3129	+	7.14696i	−1.08754	+	0.248224i	−0.728464	−	0.685084i	$-0.759765\pi$
$829$	−31.3129	+	7.14696i	−1.08754	+	0.248224i	−0.359077	+	0.933308i	$0.616908\pi$
$830$	−26.5897	−	13.4580i	−0.922943	−	0.467134i
$831$	−1.57229	+	1.97159i	−0.0545423	+	0.0683939i
$832$	−4.22933	+	35.5336i	−0.146625	+	1.23191i
$833$	−34.5716	+	16.6734i	−1.19783	+	0.577700i
$834$	0.231101	−	11.7032i	0.00800238	−	0.405248i
$835$	22.1553	+	17.6683i	0.766716	+	0.611436i
$836$	−17.0483	+	32.0946i	−0.589629	+	1.11001i
$837$	1.44146	+	6.31544i	0.0498241	+	0.218294i
$838$	−6.51883	+	12.8796i	−0.225189	+	0.444920i
$839$	42.0284	−	20.2398i	1.45098	−	0.698756i	0.468217	−	0.883614i	$-0.344897\pi$
$839$	42.0284	−	20.2398i	1.45098	−	0.698756i	0.982765	+	0.184857i	$0.0591823\pi$
$840$	−19.2271	+	10.5552i	−0.663397	+	0.364187i
$841$	7.81517	+	3.76359i	0.269488	+	0.129779i
$842$	41.8585	−	32.0497i	1.44254	−	1.10451i
$843$	19.5818	−	9.43008i	0.674432	−	0.324789i
$844$	−20.1424	−	17.4073i	−0.693331	−	0.599185i
$845$	20.0262	+	4.57086i	0.688924	+	0.157242i
$846$	−11.2554	−	9.34527i	−0.386967	−	0.321297i
$847$	−10.6858	+	6.71863i	−0.367168	+	0.230855i
$848$	9.53969	+	14.1185i	0.327594	+	0.484832i
$849$	−25.2739	+	12.1712i	−0.867397	+	0.417716i
$850$	−6.73093	+	27.0196i	−0.230869	+	0.926764i
$851$			16.3282i			0.559725i
$852$	−1.06309	+	26.9074i	−0.0364209	+	0.921833i
$853$	39.1182	+	8.92848i	1.33938	+	0.305705i	0.831406	−	0.555665i	$-0.187536\pi$
$853$	39.1182	+	8.92848i	1.33938	+	0.305705i	0.507977	+	0.861371i	$0.330393\pi$
$854$	7.71622	−	11.7658i	0.264044	−	0.402618i
$855$	−20.8042	+	4.74842i	−0.711488	+	0.162392i
$856$	−4.38070	−	26.2813i	−0.149729	−	0.898276i
$857$	2.22048	−	1.77077i	0.0758502	−	0.0604885i	−0.584831	−	0.811155i	$-0.698839\pi$
$857$	2.22048	−	1.77077i	0.0758502	−	0.0604885i	0.660681	+	0.750667i	$0.270268\pi$
$858$	12.5357	−	9.59819i	0.427962	−	0.327677i
$859$	−12.0042	−	52.5938i	−0.409578	−	1.79448i	−0.586163	−	0.810193i	$-0.699362\pi$
$859$	−12.0042	−	52.5938i	−0.409578	−	1.79448i	0.176584	−	0.984285i	$-0.443495\pi$
$860$	−3.68356	−	19.6932i	−0.125608	−	0.671531i
$861$	−11.8916	−	7.46717i	−0.405263	−	0.254480i
$862$	3.23753	−	12.9962i	0.110271	−	0.442653i
$863$		−	17.4516i		−	0.594058i	−0.954869	−	0.297029i	$-0.904004\pi$
$863$		−	17.4516i		−	0.594058i	0.954869	−	0.297029i	$-0.0959958\pi$
$864$	−0.557547	+	5.62931i	−0.0189681	+	0.191513i
$865$	10.1050	−	44.2729i	0.343580	−	1.50532i
$866$	−10.2655	+	4.69623i	−0.348836	+	0.159585i
$867$	8.14606	+	10.2148i	0.276655	+	0.346914i
$868$	29.7161	−	17.0853i	1.00863	−	0.579915i
$869$	−6.77749	+	8.49870i	−0.229911	+	0.288299i
$870$	4.51733	−	18.1336i	0.153152	−	0.614788i
$871$	40.9534	−	51.3539i	1.38765	−	1.74006i
$872$	−2.72952	−	6.64848i	−0.0924332	−	0.225146i
$873$	13.4727	−	10.7441i	0.455981	−	0.363633i
$874$	−30.6316	−	15.5037i	−1.03613	−	0.524421i
$875$	−5.81626	−	9.25058i	−0.196625	−	0.312727i
$876$	3.52450	+	8.12451i	0.119082	+	0.274502i
$877$	−12.1982	−	5.87433i	−0.411903	−	0.198362i	0.216444	−	0.976295i	$-0.430554\pi$
$877$	−12.1982	−	5.87433i	−0.411903	−	0.198362i	−0.628347	+	0.777933i	$0.716268\pi$
$878$	14.8685	−	3.08613i	0.501788	−	0.104152i
$879$	−3.87106	+	8.03834i	−0.130568	+	0.271127i
$880$	19.9922	−	21.3668i	0.673938	−	0.720274i
$881$			38.3121i			1.29077i	0.763859	+	0.645383i	$0.223302\pi$
$881$			38.3121i			1.29077i	−0.763859	+	0.645383i	$0.776698\pi$
$882$	6.02277	+	7.85661i	0.202797	+	0.264546i
$883$			43.6612i			1.46932i	0.678438	+	0.734658i	$0.262657\pi$
$883$			43.6612i			1.46932i	−0.678438	+	0.734658i	$0.737343\pi$
$884$	32.0743	−	37.1140i	1.07878	−	1.24828i
$885$	−0.992419	+	2.06078i	−0.0333598	+	0.0692723i
$886$	2.98390	+	14.3760i	0.100246	+	0.482971i
$887$	−17.0852	−	8.22778i	−0.573664	−	0.276262i	0.124477	−	0.992223i	$-0.460275\pi$
$887$	−17.0852	−	8.22778i	−0.573664	−	0.276262i	−0.698141	+	0.715961i	$0.745989\pi$
$888$	−5.26021	−	12.8127i	−0.176521	−	0.429965i
$889$	−0.208045	−	1.84167i	−0.00697761	−	0.0617675i
$890$	21.7335	−	42.9401i	0.728507	−	1.43935i
$891$	1.95132	−	1.55612i	0.0653716	−	0.0521321i
$892$	−15.7857	+	6.84802i	−0.528545	+	0.229289i
$893$	−46.9566	+	58.8817i	−1.57134	+	1.97040i
$894$	−2.90976	−	0.724859i	−0.0973169	−	0.0242429i
$895$	−10.5827	+	13.2702i	−0.353739	+	0.443575i
$896$	29.3444	−	5.90804i	0.980328	−	0.197374i
$897$	9.29940	+	11.6611i	0.310498	+	0.389352i
$898$	−9.63374	−	21.0584i	−0.321482	−	0.702728i
$899$	−6.49870	+	28.4726i	−0.216744	+	0.949616i
$900$	7.17623	+	0.283527i	0.239208	+	0.00945090i
$901$		−	23.3574i		−	0.778148i
$902$	18.1771	+	4.52816i	0.605232	+	0.150771i
$903$	−8.53407	+	2.98897i	−0.283996	+	0.0994667i
$904$	27.1590	−	4.52700i	0.903296	−	0.150566i
$905$	16.5627	+	72.5659i	0.550563	+	2.41217i
$906$	2.70789	+	3.53664i	0.0899637	+	0.117497i
$907$	−37.1280	+	29.6086i	−1.23282	+	0.983138i	−0.232873	+	0.972507i	$0.574813\pi$
$907$	−37.1280	+	29.6086i	−1.23282	+	0.983138i	−0.999943	+	0.0106308i	$0.996616\pi$
$908$	−5.13723	−	27.4648i	−0.170485	−	0.911453i
$909$	11.0826	−	2.52952i	0.367585	−	0.0838990i
$910$	−4.54311	−	48.8447i	−0.150603	−	1.61919i
$911$	4.94859	+	1.12948i	0.163954	+	0.0374215i	0.303710	−	0.952765i	$-0.401775\pi$
$911$	4.94859	+	1.12948i	0.163954	+	0.0374215i	−0.139756	+	0.990186i	$0.544632\pi$
$912$	29.0310	+	2.29757i	0.961313	+	0.0760801i
$913$		−	17.9440i		−	0.593859i
$914$	6.89647	+	1.71800i	0.228115	+	0.0568264i
$915$	−9.93048	+	4.78226i	−0.328291	+	0.158097i
$916$	−43.3795	+	31.8758i	−1.43330	+	1.05321i
$917$	−19.1554	−	19.1444i	−0.632568	−	0.632203i
$918$	4.95353	−	5.96599i	0.163491	−	0.196907i
$919$	31.1632	+	7.11280i	1.02798	+	0.234630i	0.703074	−	0.711117i	$-0.251810\pi$
$919$	31.1632	+	7.11280i	1.02798	+	0.234630i	0.324906	+	0.945746i	$0.394667\pi$
$920$	20.5540	+	18.4843i	0.677646	+	0.609411i
$921$	15.1745	−	7.30767i	0.500018	−	0.240796i
$922$	−9.06628	−	11.8410i	−0.298582	−	0.389962i
$923$	−54.2619	−	26.1311i	−1.78605	−	0.860117i
$924$	−10.8985	−	7.45922i	−0.358533	−	0.245390i
$925$	−15.8428	+	7.62950i	−0.520909	+	0.250857i
$926$	−16.9684	−	8.58832i	−0.557618	−	0.282230i
$927$	1.66289	+	7.28559i	0.0546164	+	0.239290i
$928$	−13.2764	+	21.7753i	−0.435819	+	0.714809i
$929$	−29.8741	−	23.8238i	−0.980139	−	0.781634i	−0.00426947	−	0.999991i	$-0.501359\pi$
$929$	−29.8741	−	23.8238i	−0.980139	−	0.781634i	−0.975869	+	0.218356i	$0.929930\pi$
$930$	−26.8461	−	0.530127i	−0.880319	−	0.0173835i
$931$	39.8262	−	31.7980i	1.30525	−	1.04214i
$932$	−57.2698	−	2.26268i	−1.87593	−	0.0741166i
$933$	−3.93372	+	4.93273i	−0.128784	+	0.161490i
$934$	19.0522	−	37.6426i	0.623408	−	1.23170i
$935$	−39.1057	+	8.92561i	−1.27889	+	0.291899i
$936$	−11.0538	−	6.15453i	−0.361306	−	0.201167i
$937$	19.0049	+	39.4641i	0.620863	+	1.28923i	0.939886	+	0.341488i	$0.110931\pi$
$937$	19.0049	+	39.4641i	0.620863	+	1.28923i	−0.319023	+	0.947747i	$0.603355\pi$
$938$	−51.4979	−	19.1523i	−1.68147	−	0.625345i
$939$	7.00900	−	14.5543i	0.228730	−	0.474963i
$940$	48.8659	−	35.9072i	1.59383	−	1.17117i
$941$	−4.64212	−	9.63946i	−0.151329	−	0.314238i	0.811499	−	0.584354i	$-0.198652\pi$
$941$	−4.64212	−	9.63946i	−0.151329	−	0.314238i	−0.962828	+	0.270117i	$0.912938\pi$
$942$	21.0310	−	25.3296i	0.685229	−	0.825283i
$943$	−3.93787	+	17.2529i	−0.128235	+	0.561833i
$944$	2.13269	−	2.27932i	0.0694132	−	0.0741857i
$945$	−0.870486	−	7.70575i	−0.0283169	−	0.250668i
$946$	9.57805	−	7.33362i	0.311409	−	0.238437i
$947$	−12.5598	−	26.0807i	−0.408139	−	0.847509i	−0.999165	−	0.0408565i	$-0.986991\pi$
$947$	−12.5598	−	26.0807i	−0.408139	−	0.847509i	0.591026	−	0.806652i	$-0.298723\pi$
$948$	8.40919	+	2.27207i	0.273118	+	0.0737935i
$949$	−19.8068			−0.642956
$950$	0.729948	−	36.9653i	0.0236827	−	1.19931i
$951$	1.56187	−	6.84298i	0.0506470	−	0.221899i
$952$	−37.8641	−	15.8102i	−1.22718	−	0.512410i
$953$	−9.67620	−	42.3942i	−0.313443	−	1.37328i	−0.848825	−	0.528673i	$-0.822690\pi$
$953$	−9.67620	−	42.3942i	−0.313443	−	1.37328i	0.535382	−	0.844610i	$-0.320168\pi$
$954$	−5.89859	+	1.22432i	−0.190974	+	0.0396387i
$955$	−21.0560	−	26.4033i	−0.681355	−	0.854392i
$956$	23.2090	−	17.0542i	0.750632	−	0.551574i
$957$	10.9701	−	2.50386i	0.354614	−	0.0809383i
$958$	43.2073	−	8.96815i	1.39596	−	0.289748i
$959$	−15.7721	−	15.7630i	−0.509308	−	0.509014i
$960$	−22.0834	−	7.88298i	−0.712739	−	0.254422i
$961$	10.9626			0.353633
$962$	30.9708	+	0.611577i	0.998539	+	0.0197180i
$963$	9.18385	+	2.09615i	0.295946	+	0.0675476i
$964$	−9.56690	−	22.0531i	−0.308129	−	0.710283i
$965$	−36.6492	+	29.2268i	−1.17978	+	0.940843i
$966$	6.84204	−	10.4328i	0.220139	−	0.335671i
$967$	−24.6591	−	19.6650i	−0.792983	−	0.632383i	0.140875	−	0.990027i	$-0.455009\pi$
$967$	−24.6591	−	19.6650i	−0.792983	−	0.632383i	−0.933858	+	0.357644i	$0.883580\pi$
$968$	−12.9548	−	3.77621i	−0.416383	−	0.121372i
$969$	−31.2107	−	24.8897i	−1.00263	−	0.799573i
$970$	29.7153	+	64.9548i	0.954102	+	2.08557i
$971$	1.07479	+	1.34775i	0.0344917	+	0.0432512i	0.798778	−	0.601626i	$-0.205480\pi$
$971$	1.07479	+	1.34775i	0.0344917	+	0.0432512i	−0.764286	+	0.644877i	$0.776909\pi$
$972$	−1.76627	−	0.938229i	−0.0566533	−	0.0300937i
$973$	2.44561	−	21.7619i	0.0784026	−	0.697655i
$974$	−4.19536	+	1.91928i	−0.134428	+	0.0614978i
$975$	−6.96920	+	14.4717i	−0.223193	+	0.463465i
$976$	14.8831	−	2.17971i	0.476395	−	0.0697709i
$977$	25.6827	+	12.3681i	0.821662	+	0.395692i	0.796982	−	0.604004i	$-0.206429\pi$
$977$	25.6827	+	12.3681i	0.821662	+	0.395692i	0.0246808	+	0.999695i	$0.492143\pi$
$978$	7.52918	−	9.06807i	0.240757	−	0.289965i
$979$	28.9779			0.926139
$980$	−37.6353	+	16.3525i	−1.20222	+	0.522361i
$981$	2.54098			0.0811272
$982$	−36.2638	+	43.6758i	−1.15722	+	1.39375i
$983$	−15.1902	−	7.31521i	−0.484492	−	0.233319i	0.175660	−	0.984451i	$-0.443794\pi$
$983$	−15.1902	−	7.31521i	−0.484492	−	0.233319i	−0.660152	+	0.751132i	$0.729508\pi$
$984$	−2.46808	−	14.8069i	−0.0786796	−	0.472026i
$985$	−17.6487	+	36.6478i	−0.562333	+	1.16770i
$986$	31.7912	−	14.5438i	1.01244	−	0.463168i
$987$	−19.3584	−	19.3472i	−0.616184	−	0.615828i
$988$	−30.5542	+	57.5202i	−0.972059	+	1.82996i
$989$	7.10532	+	8.90979i	0.225936	+	0.283315i
$990$	4.30383	+	9.40774i	0.136785	+	0.298998i
$991$	17.3323	+	13.8221i	0.550579	+	0.439072i	0.858850	−	0.512226i	$-0.171179\pi$
$991$	17.3323	+	13.8221i	0.550579	+	0.439072i	−0.308272	+	0.951298i	$0.599751\pi$
$992$	34.7479	+	11.6356i	1.10325	+	0.369430i
$993$	−3.66847	−	2.92550i	−0.116415	−	0.0928381i
$994$	−6.61343	+	49.9425i	−0.209765	+	1.58408i
$995$	29.8736	−	23.8234i	0.947056	−	0.755252i
$996$	−13.1914	+	5.72258i	−0.417985	+	0.181327i
$997$	31.0945	+	7.09712i	0.984774	+	0.224768i	0.684443	−	0.729067i	$-0.260046\pi$
$997$	31.0945	+	7.09712i	0.984774	+	0.224768i	0.300331	+	0.953835i	$0.402903\pi$
$998$	−10.3233	−	0.203853i	−0.326779	−	0.00645286i
$999$	4.89686			0.154930

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.55.7	yes	168
4.3	odd	2		588.2.x.a.55.23	✓	168
49.41	odd	14		588.2.x.a.139.23	yes	168
196.139	even	14	inner	588.2.x.b.139.7	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.23	✓	168	4.3	odd	2
588.2.x.a.139.23	yes	168	49.41	odd	14
588.2.x.b.55.7	yes	168	1.1	even	1	trivial
588.2.x.b.139.7	yes	168	196.139	even	14	inner

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08805 - 0.903405i) q^{2} +(0.900969 + 0.433884i) q^{3} +(0.367718 + 1.96591i) q^{4} +(1.27172 - 2.64076i) q^{5} +(-0.588329 - 1.28603i) q^{6} +(-0.874558 - 2.49703i) q^{7} +(1.37591 - 2.47121i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.08805 - 0.903405i) q^{2} +(0.900969 + 0.433884i) q^{3} +(0.367718 + 1.96591i) q^{4} +(1.27172 - 2.64076i) q^{5} +(-0.588329 - 1.28603i) q^{6} +(-0.874558 - 2.49703i) q^{7} +(1.37591 - 2.47121i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-3.76938 + 1.72441i) q^{10} +(-1.95132 - 1.55612i) q^{11} +(-0.521672 + 1.93077i) q^{12} +(-3.49717 - 2.78890i) q^{13} +(-1.30426 + 3.50698i) q^{14} +(2.29157 - 1.82746i) q^{15} +(-3.72957 + 1.44580i) q^{16} +(5.34571 + 1.22012i) q^{17} +(0.0279209 - 1.41394i) q^{18} -7.28045 q^{19} +(5.65913 + 1.52903i) q^{20} +(0.295470 - 2.62920i) q^{21} +(0.717326 + 3.45598i) q^{22} +(-3.25083 + 0.741980i) q^{23} +(2.31187 - 1.62949i) q^{24} +(-2.23890 - 2.80749i) q^{25} +(1.28560 + 6.19384i) q^{26} +(0.222521 + 0.974928i) q^{27} +(4.58733 - 2.63750i) q^{28} +(-1.00322 + 4.39538i) q^{29} +(-4.14429 - 0.0818368i) q^{30} +6.47786 q^{31} +(5.36411 + 1.79621i) q^{32} +(-1.08290 - 2.24867i) q^{33} +(-4.71414 - 6.15690i) q^{34} +(-7.70626 - 0.866030i) q^{35} +(-1.30774 + 1.51322i) q^{36} +(1.08965 - 4.77409i) q^{37} +(7.92152 + 6.57720i) q^{38} +(-1.94079 - 4.03008i) q^{39} +(-4.77609 - 6.77616i) q^{40} +(2.30273 - 4.78166i) q^{41} +(-2.69672 + 2.59378i) q^{42} +(-1.48288 - 3.07923i) q^{43} +(2.34166 - 4.40832i) q^{44} +(2.85754 - 0.652215i) q^{45} +(4.20738 + 2.12950i) q^{46} +(6.44969 - 8.08765i) q^{47} +(-3.98753 - 0.315581i) q^{48} +(-5.47030 + 4.36759i) q^{49} +(-0.100261 + 5.07733i) q^{50} +(4.28692 + 3.41871i) q^{51} +(4.19675 - 7.90064i) q^{52} +(-0.947901 - 4.15302i) q^{53} +(0.638640 - 1.26180i) q^{54} +(-6.59090 + 3.17401i) q^{55} +(-7.37399 - 1.27448i) q^{56} +(-6.55946 - 3.15887i) q^{57} +(5.06236 - 3.87610i) q^{58} +(-0.703091 + 0.338591i) q^{59} +(4.43527 + 3.83302i) q^{60} +(-3.66617 - 0.836780i) q^{61} +(-7.04825 - 5.85213i) q^{62} +(1.40698 - 2.24063i) q^{63} +(-4.21373 - 6.80033i) q^{64} +(-11.8123 + 5.68849i) q^{65} +(-0.853204 + 3.42496i) q^{66} +14.6844i q^{67} +(-0.432934 + 10.9578i) q^{68} +(-3.25083 - 0.741980i) q^{69} +(7.60244 + 7.90416i) q^{70} +(13.1266 - 2.99607i) q^{71} +(2.78994 - 0.465040i) q^{72} +(3.46197 - 2.76083i) q^{73} +(-5.49854 + 4.21006i) q^{74} +(-0.799054 - 3.50088i) q^{75} +(-2.67715 - 14.3127i) q^{76} +(-2.17914 + 6.23342i) q^{77} +(-1.52912 + 6.13826i) q^{78} -4.35536i q^{79} +(-0.924975 + 11.6876i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.82527 + 3.12240i) q^{82} +(4.48263 + 5.62105i) q^{83} +(5.27741 - 0.385938i) q^{84} +(10.0203 - 12.5651i) q^{85} +(-1.16834 + 4.69001i) q^{86} +(-2.81095 + 3.52482i) q^{87} +(-6.53035 + 2.68102i) q^{88} +(-9.07749 + 7.23906i) q^{89} +(-3.69837 - 1.87187i) q^{90} +(-3.90549 + 11.1716i) q^{91} +(-2.65405 - 6.11798i) q^{92} +(5.83635 + 2.81064i) q^{93} +(-14.3240 + 2.97311i) q^{94} +(-9.25873 + 19.2259i) q^{95} +(4.05355 + 3.94573i) q^{96} -17.2322i q^{97} +(9.89768 + 0.189723i) q^{98} -2.49583i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) 168 * q + 28 * q^3 - 2 * q^7 + 6 * q^8 - 28 * q^9 - 20 * q^10 + 14 * q^14 - 20 * q^16 - 12 * q^19 + 25 * q^20 + 2 * q^21 - 6 * q^22 - 27 * q^24 + 32 * q^25 - 6 * q^26 + 28 * q^27 + 6 * q^28 - 8 * q^30 + 4 * q^31 - 45 * q^32 - 44 * q^34 + 12 * q^35 - 10 * q^37 - 35 * q^38 - 14 * q^39 + 40 * q^40 + 7 * q^42 + 20 * q^44 + 28 * q^46 + 8 * q^47 - 8 * q^48 - 8 * q^49 + 114 * q^50 - 20 * q^52 - 8 * q^53 + 23 * q^56 + 12 * q^57 - 6 * q^58 - 20 * q^59 + 10 * q^60 - 14 * q^61 + 16 * q^62 + 12 * q^63 - 42 * q^64 - 8 * q^65 + 6 * q^66 + 16 * q^68 + 19 * q^70 - 28 * q^71 - 15 * q^72 + 22 * q^74 - 18 * q^75 - 49 * q^76 + 8 * q^77 + 6 * q^78 - 26 * q^80 - 28 * q^81 - 12 * q^82 - 10 * q^83 - 27 * q^84 - 24 * q^85 - 34 * q^86 + 94 * q^88 - 20 * q^90 + 16 * q^91 + 7 * q^92 - 4 * q^93 + 11 * q^94 + 10 * q^96 - 150 * q^98

Introduction

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