LMFDB - Embedded newform 231.2.bc.a.185.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [231,2,Mod(5,231)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(231, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 25, 12]))

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

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

chi := DirichletCharacter("231.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 231 = 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	231.bc (of order $30$, degree $8$, 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:	$1.84454428669$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$28$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			185.24
Character	$\chi$	$=$	231.185
Dual form			231.2.bc.a.5.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.447920 + 2.10730i) q^{2} +(0.491478 - 1.66086i) q^{3} +(-2.41299 + 1.07433i) q^{4} +(2.59584 - 2.88297i) q^{5} +(3.72007 + 0.291760i) q^{6} +(-2.63172 - 0.272090i) q^{7} +(-0.812141 - 1.11782i) q^{8} +(-2.51690 - 1.63255i) q^{9} +O(q^{10})$	\(q+(0.447920 + 2.10730i) q^{2} +(0.491478 - 1.66086i) q^{3} +(-2.41299 + 1.07433i) q^{4} +(2.59584 - 2.88297i) q^{5} +(3.72007 + 0.291760i) q^{6} +(-2.63172 - 0.272090i) q^{7} +(-0.812141 - 1.11782i) q^{8} +(-2.51690 - 1.63255i) q^{9} +(7.23801 + 4.17887i) q^{10} +(3.30016 - 0.330087i) q^{11} +(0.598381 + 4.53564i) q^{12} +(3.99393 + 1.29771i) q^{13} +(-0.605428 - 5.66770i) q^{14} +(-3.51241 - 5.72823i) q^{15} +(-1.54301 + 1.71369i) q^{16} +(-1.16032 - 0.246634i) q^{17} +(2.31290 - 6.03511i) q^{18} +(-1.73402 + 3.89467i) q^{19} +(-3.16646 + 9.74536i) q^{20} +(-1.74534 + 4.23719i) q^{21} +(2.17380 + 6.80657i) q^{22} +(-3.34379 + 1.93054i) q^{23} +(-2.25568 + 0.799468i) q^{24} +(-1.05050 - 9.99483i) q^{25} +(-0.945694 + 8.99767i) q^{26} +(-3.94844 + 3.37785i) q^{27} +(6.64263 - 2.17079i) q^{28} +(-1.49858 + 2.06262i) q^{29} +(10.4978 - 9.96748i) q^{30} +(0.644911 - 0.580680i) q^{31} +(-6.69556 - 3.86568i) q^{32} +(1.07373 - 5.64332i) q^{33} -2.55562i q^{34} +(-7.61595 + 6.88088i) q^{35} +(7.82714 + 1.23534i) q^{36} +(-0.510579 + 4.85783i) q^{37} +(-8.98393 - 1.90959i) q^{38} +(4.11824 - 5.99555i) q^{39} +(-5.33081 - 0.560291i) q^{40} +(-1.20912 + 0.878474i) q^{41} +(-9.71080 - 1.78002i) q^{42} -2.85153 q^{43} +(-7.60862 + 4.34196i) q^{44} +(-11.2401 + 3.01830i) q^{45} +(-5.56597 - 6.18163i) q^{46} +(-1.80828 - 0.805096i) q^{47} +(2.08783 + 3.40496i) q^{48} +(6.85193 + 1.43213i) q^{49} +(20.5916 - 6.69061i) q^{50} +(-0.979897 + 1.80591i) q^{51} +(-11.0315 + 1.15945i) q^{52} +(7.41920 - 6.68028i) q^{53} +(-8.88672 - 6.80753i) q^{54} +(7.61504 - 10.3711i) q^{55} +(1.83318 + 3.16276i) q^{56} +(5.61625 + 4.79410i) q^{57} +(-5.01780 - 2.23407i) q^{58} +(9.40823 - 4.18881i) q^{59} +(14.6294 + 10.0487i) q^{60} +(1.36497 + 1.22903i) q^{61} +(1.51254 + 1.09892i) q^{62} +(6.17958 + 4.98124i) q^{63} +(3.72190 - 11.4548i) q^{64} +(14.1088 - 8.14574i) q^{65} +(12.3731 - 0.265093i) q^{66} +(-6.89629 + 11.9447i) q^{67} +(3.06481 - 0.651445i) q^{68} +(1.56295 + 6.50237i) q^{69} +(-17.9114 - 12.9670i) q^{70} +(-9.83186 + 3.19456i) q^{71} +(0.219184 + 4.13929i) q^{72} +(0.285690 + 0.641669i) q^{73} +(-10.4656 + 1.09998i) q^{74} +(-17.1163 - 3.16751i) q^{75} -11.2607i q^{76} +(-8.77492 - 0.0292415i) q^{77} +(14.4791 + 5.99282i) q^{78} +(1.65794 - 0.352406i) q^{79} +(0.935102 + 8.89690i) q^{80} +(3.66955 + 8.21793i) q^{81} +(-2.39280 - 2.15448i) q^{82} +(-1.26586 - 3.89592i) q^{83} +(-0.340672 - 12.0994i) q^{84} +(-3.72304 + 2.70495i) q^{85} +(-1.27726 - 6.00903i) q^{86} +(2.68920 + 3.50266i) q^{87} +(-3.04917 - 3.42089i) q^{88} +(-0.903159 - 1.56432i) q^{89} +(-11.3951 - 22.3342i) q^{90} +(-10.1578 - 4.50191i) q^{91} +(5.99448 - 8.25069i) q^{92} +(-0.647468 - 1.35650i) q^{93} +(0.886615 - 4.17120i) q^{94} +(6.72698 + 15.1090i) q^{95} +(-9.71108 + 9.22048i) q^{96} +(-2.98133 - 0.968691i) q^{97} +(0.0511943 + 15.0806i) q^{98} +(-8.84505 - 4.55688i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 9 q^{3} - 30 q^{4} - 16 q^{7} + 3 q^{9}+O(q^{10}) $ 224 * q - 9 * q^3 - 30 * q^4 - 16 * q^7 + 3 * q^9	$ 224 q - 9 q^{3} - 30 q^{4} - 16 q^{7} + 3 q^{9} - 60 q^{10} - 12 q^{12} - 36 q^{15} + 18 q^{16} + 13 q^{18} - 18 q^{19} - 6 q^{21} + 20 q^{22} - 51 q^{24} - 18 q^{25} - 26 q^{28} - 15 q^{30} - 36 q^{31} + 60 q^{33} - 32 q^{36} - 10 q^{37} + 9 q^{39} - 114 q^{42} - 96 q^{43} + 24 q^{45} - 54 q^{46} - 56 q^{49} - 29 q^{51} - 30 q^{52} - 96 q^{54} + 68 q^{57} - 64 q^{58} + 125 q^{60} - 18 q^{61} - 26 q^{63} + 56 q^{64} + 135 q^{66} + 48 q^{67} - 44 q^{70} + 19 q^{72} + 30 q^{73} + 63 q^{75} + 28 q^{78} + 30 q^{79} + 31 q^{81} + 54 q^{82} + 99 q^{84} - 248 q^{85} + 102 q^{87} + 82 q^{88} - 144 q^{91} + 34 q^{93} + 162 q^{94} - 87 q^{96} - 100 q^{99}+O(q^{100}) $ 224 * q - 9 * q^3 - 30 * q^4 - 16 * q^7 + 3 * q^9 - 60 * q^10 - 12 * q^12 - 36 * q^15 + 18 * q^16 + 13 * q^18 - 18 * q^19 - 6 * q^21 + 20 * q^22 - 51 * q^24 - 18 * q^25 - 26 * q^28 - 15 * q^30 - 36 * q^31 + 60 * q^33 - 32 * q^36 - 10 * q^37 + 9 * q^39 - 114 * q^42 - 96 * q^43 + 24 * q^45 - 54 * q^46 - 56 * q^49 - 29 * q^51 - 30 * q^52 - 96 * q^54 + 68 * q^57 - 64 * q^58 + 125 * q^60 - 18 * q^61 - 26 * q^63 + 56 * q^64 + 135 * q^66 + 48 * q^67 - 44 * q^70 + 19 * q^72 + 30 * q^73 + 63 * q^75 + 28 * q^78 + 30 * q^79 + 31 * q^81 + 54 * q^82 + 99 * q^84 - 248 * q^85 + 102 * q^87 + 82 * q^88 - 144 * q^91 + 34 * q^93 + 162 * q^94 - 87 * q^96 - 100 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/231\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.447920	+	2.10730i	0.316727	+	1.49009i	0.792149	+	0.610328i	$0.208962\pi$
$2$	0.447920	+	2.10730i	0.316727	+	1.49009i	−0.475422	+	0.879758i	$0.657704\pi$
$3$	0.491478	−	1.66086i	0.283755	−	0.958897i
$3$	0.491478	−	1.66086i	0.283755	−	0.958897i
$4$	−2.41299	+	1.07433i	−1.20649	+	0.537166i
$5$	2.59584	−	2.88297i	1.16089	−	1.28930i	0.210733	−	0.977544i	$-0.432415\pi$
$5$	2.59584	−	2.88297i	1.16089	−	1.28930i	0.950161	−	0.311760i	$-0.100918\pi$
$6$	3.72007	+	0.291760i	1.51871	+	0.119110i
$7$	−2.63172	−	0.272090i	−0.994698	−	0.102840i
$7$	−2.63172	−	0.272090i	−0.994698	−	0.102840i
$8$	−0.812141	−	1.11782i	−0.287135	−	0.395207i
$9$	−2.51690	−	1.63255i	−0.838966	−	0.544184i
$10$	7.23801	+	4.17887i	2.28886	+	1.32147i
$11$	3.30016	−	0.330087i	0.995035	−	0.0995250i
$11$	3.30016	−	0.330087i	0.995035	−	0.0995250i
$12$	0.598381	+	4.53564i	0.172738	+	1.30933i
$13$	3.99393	+	1.29771i	1.10772	+	0.359919i	0.805068	−	0.593183i	$-0.202129\pi$
$13$	3.99393	+	1.29771i	1.10772	+	0.359919i	0.302649	+	0.953102i	$0.402129\pi$
$14$	−0.605428	−	5.66770i	−0.161807	−	1.51476i
$15$	−3.51241	−	5.72823i	−0.906899	−	1.47902i
$16$	−1.54301	+	1.71369i	−0.385752	+	0.428421i
$17$	−1.16032	−	0.246634i	−0.281419	−	0.0598175i	0.0650396	−	0.997883i	$-0.479283\pi$
$17$	−1.16032	−	0.246634i	−0.281419	−	0.0598175i	−0.346459	+	0.938065i	$0.612616\pi$
$18$	2.31290	−	6.03511i	0.545157	−	1.42249i
$19$	−1.73402	+	3.89467i	−0.397811	+	0.893498i	0.597951	+	0.801532i	$0.295982\pi$
$19$	−1.73402	+	3.89467i	−0.397811	+	0.893498i	−0.995762	+	0.0919653i	$0.970685\pi$
$20$	−3.16646	+	9.74536i	−0.708042	+	2.17913i
$21$	−1.74534	+	4.23719i	−0.380864	+	0.924631i
$22$	2.17380	+	6.80657i	0.463456	+	1.45117i
$23$	−3.34379	+	1.93054i	−0.697228	+	0.402545i	−0.806314	−	0.591488i	$-0.798541\pi$
$23$	−3.34379	+	1.93054i	−0.697228	+	0.402545i	0.109086	+	0.994032i	$0.465208\pi$
$24$	−2.25568	+	0.799468i	−0.460439	+	0.163191i
$25$	−1.05050	−	9.99483i	−0.210100	−	1.99897i
$26$	−0.945694	+	8.99767i	−0.185466	+	1.76459i
$27$	−3.94844	+	3.37785i	−0.759877	+	0.650067i
$28$	6.64263	−	2.17079i	1.25534	−	0.410241i
$29$	−1.49858	+	2.06262i	−0.278279	+	0.383019i	−0.925163	−	0.379570i	$-0.876072\pi$
$29$	−1.49858	+	2.06262i	−0.278279	+	0.383019i	0.646884	+	0.762589i	$0.276072\pi$
$30$	10.4978	−	9.96748i	1.91663	−	1.81981i
$31$	0.644911	−	0.580680i	0.115829	−	0.104293i	−0.609181	−	0.793031i	$-0.708502\pi$
$31$	0.644911	−	0.580680i	0.115829	−	0.104293i	0.725010	+	0.688738i	$0.241835\pi$
$32$	−6.69556	−	3.86568i	−1.18362	−	0.683363i
$33$	1.07373	−	5.64332i	0.186912	−	0.982377i
$34$		−	2.55562i		−	0.438285i
$35$	−7.61595	+	6.88088i	−1.28733	+	1.16308i
$36$	7.82714	+	1.23534i	1.30452	+	0.205890i
$37$	−0.510579	+	4.85783i	−0.0839386	+	0.798623i	0.868868	+	0.495044i	$0.164848\pi$
$37$	−0.510579	+	4.85783i	−0.0839386	+	0.798623i	−0.952806	+	0.303579i	$0.901818\pi$
$38$	−8.98393	−	1.90959i	−1.45739	−	0.309777i
$39$	4.11824	−	5.99555i	0.659445	−	0.960057i
$40$	−5.33081	−	0.560291i	−0.842876	−	0.0885898i
$41$	−1.20912	+	0.878474i	−0.188832	+	0.137195i	−0.678185	−	0.734891i	$-0.737233\pi$
$41$	−1.20912	+	0.878474i	−0.188832	+	0.137195i	0.489353	+	0.872086i	$0.337233\pi$
$42$	−9.71080	−	1.78002i	−1.49841	−	0.274664i
$43$	−2.85153			−0.434854			−0.217427	−	0.976077i	$-0.569766\pi$
$43$	−2.85153			−0.434854			−0.217427	+	0.976077i	$0.569766\pi$
$44$	−7.60862	+	4.34196i	−1.14704	+	0.654575i
$45$	−11.2401	+	3.01830i	−1.67557	+	0.449942i
$46$	−5.56597	−	6.18163i	−0.820657	−	0.911432i
$47$	−1.80828	−	0.805096i	−0.263764	−	0.117435i	0.270594	−	0.962694i	$-0.412780\pi$
$47$	−1.80828	−	0.805096i	−0.263764	−	0.117435i	−0.534358	+	0.845258i	$0.679447\pi$
$48$	2.08783	+	3.40496i	0.301353	+	0.491463i
$49$	6.85193	+	1.43213i	0.978848	+	0.204590i
$50$	20.5916	−	6.69061i	2.91209	−	0.946195i
$51$	−0.979897	+	1.80591i	−0.137213	+	0.252879i
$52$	−11.0315	+	1.15945i	−1.52979	+	0.160787i
$53$	7.41920	−	6.68028i	1.01911	−	0.917607i	0.0224851	−	0.999747i	$-0.492842\pi$
$53$	7.41920	−	6.68028i	1.01911	−	0.917607i	0.996621	+	0.0821401i	$0.0261755\pi$
$54$	−8.88672	−	6.80753i	−1.20933	−	0.926388i
$55$	7.61504	−	10.3711i	1.02681	−	1.39844i
$56$	1.83318	+	3.16276i	0.244969	+	0.422641i
$57$	5.61625	+	4.79410i	0.743891	+	0.634994i
$58$	−5.01780	−	2.23407i	−0.658869	−	0.293348i
$59$	9.40823	−	4.18881i	1.22485	−	0.545337i	0.310618	−	0.950535i	$-0.399464\pi$
$59$	9.40823	−	4.18881i	1.22485	−	0.545337i	0.914229	+	0.405198i	$0.132797\pi$
$60$	14.6294	+	10.0487i	1.88865	+	1.29728i
$61$	1.36497	+	1.22903i	0.174767	+	0.157361i	0.751872	−	0.659309i	$-0.229151\pi$
$61$	1.36497	+	1.22903i	0.174767	+	0.157361i	−0.577105	+	0.816670i	$0.695818\pi$
$62$	1.51254	+	1.09892i	0.192092	+	0.139563i
$63$	6.17958	+	4.98124i	0.778554	+	0.627578i
$64$	3.72190	−	11.4548i	0.465237	−	1.43185i
$65$	14.1088	−	8.14574i	1.74999	−	1.01036i
$66$	12.3731	−	0.265093i	1.52303	−	0.0326307i
$67$	−6.89629	+	11.9447i	−0.842516	+	1.45928i	0.0452445	+	0.998976i	$0.485593\pi$
$67$	−6.89629	+	11.9447i	−0.842516	+	1.45928i	−0.887761	+	0.460305i	$0.847740\pi$
$68$	3.06481	−	0.651445i	0.371663	−	0.0789993i
$69$	1.56295	+	6.50237i	0.188157	+	0.782794i
$70$	−17.9114	−	12.9670i	−2.14082	−	1.54985i
$71$	−9.83186	+	3.19456i	−1.16683	+	0.379125i	−0.827458	−	0.561528i	$-0.810214\pi$
$71$	−9.83186	+	3.19456i	−1.16683	+	0.379125i	−0.339369	+	0.940653i	$0.610214\pi$
$72$	0.219184	+	4.13929i	0.0258311	+	0.487820i
$73$	0.285690	+	0.641669i	0.0334374	+	0.0751017i	0.929492	−	0.368842i	$-0.120246\pi$
$73$	0.285690	+	0.641669i	0.0334374	+	0.0751017i	−0.896055	+	0.443944i	$0.853579\pi$
$74$	−10.4656	+	1.09998i	−1.21660	+	0.127870i
$75$	−17.1163	−	3.16751i	−1.97642	−	0.365753i
$76$		−	11.2607i		−	1.29169i
$77$	−8.77492	−	0.0292415i	−0.999994	−	0.00333238i
$78$	14.4791	+	5.99282i	1.63943	+	0.678554i
$79$	1.65794	−	0.352406i	0.186533	−	0.0396488i	−0.113698	−	0.993515i	$-0.536270\pi$
$79$	1.65794	−	0.352406i	0.186533	−	0.0396488i	0.300231	+	0.953867i	$0.402936\pi$
$80$	0.935102	+	8.89690i	0.104548	+	0.994704i
$81$	3.66955	+	8.21793i	0.407728	+	0.913103i
$82$	−2.39280	−	2.15448i	−0.264240	−	0.237923i
$83$	−1.26586	−	3.89592i	−0.138946	−	0.427633i	0.857237	−	0.514923i	$-0.172179\pi$
$83$	−1.26586	−	3.89592i	−0.138946	−	0.427633i	−0.996183	+	0.0872900i	$0.972179\pi$
$84$	−0.340672	−	12.0994i	−0.0371703	−	1.32015i
$85$	−3.72304	+	2.70495i	−0.403821	+	0.293393i
$86$	−1.27726	−	6.00903i	−0.137730	−	0.647970i
$87$	2.68920	+	3.50266i	0.288312	+	0.375525i
$88$	−3.04917	−	3.42089i	−0.325042	−	0.364668i
$89$	−0.903159	−	1.56432i	−0.0957347	−	0.165817i	0.814180	−	0.580612i	$-0.197187\pi$
$89$	−0.903159	−	1.56432i	−0.0957347	−	0.165817i	−0.909915	+	0.414795i	$0.863853\pi$
$90$	−11.3951	−	22.3342i	−1.20115	−	2.35423i
$91$	−10.1578	−	4.50191i	−1.06483	−	0.471929i
$92$	5.99448	−	8.25069i	0.624968	−	0.860194i
$93$	−0.647468	−	1.35650i	−0.0671393	−	0.140662i
$94$	0.886615	−	4.17120i	0.0914474	−	0.430226i
$95$	6.72698	+	15.1090i	0.690173	+	1.55015i
$96$	−9.71108	+	9.22048i	−0.991133	+	0.941061i
$97$	−2.98133	−	0.968691i	−0.302708	−	0.0983557i	0.153725	−	0.988114i	$-0.450873\pi$
$97$	−2.98133	−	0.968691i	−0.302708	−	0.0983557i	−0.456433	+	0.889758i	$0.650873\pi$
$98$	0.0511943	+	15.0806i	0.00517140	+	1.52337i
$99$	−8.84505	−	4.55688i	−0.888961	−	0.457984i
$100$	13.2726	+	22.9888i	1.32726	+	2.29888i
$101$	−7.88220	−	8.75407i	−0.784308	−	0.871062i	0.209990	−	0.977704i	$-0.432657\pi$
$101$	−7.88220	−	8.75407i	−0.784308	−	0.871062i	−0.994298	+	0.106641i	$0.965990\pi$
$102$	−4.24452	−	1.25603i	−0.420270	−	0.124366i
$103$	1.03677	+	0.108969i	0.102156	+	0.0107370i	0.155469	−	0.987841i	$-0.450311\pi$
$103$	1.03677	+	0.108969i	0.102156	+	0.0107370i	−0.0533124	+	0.998578i	$0.516978\pi$
$104$	−1.79304	−	5.51840i	−0.175822	−	0.541123i
$105$	7.68509	+	16.0308i	0.749988	+	1.56445i
$106$	17.4006	+	12.6422i	1.69009	+	1.22792i
$107$	−1.38038	+	3.10039i	−0.133447	+	0.299726i	−0.967893	−	0.251364i	$-0.919121\pi$
$107$	−1.38038	+	3.10039i	−0.133447	+	0.299726i	0.834446	+	0.551089i	$0.185788\pi$
$108$	5.89860	−	12.3926i	0.567593	−	1.19248i
$109$	1.24340	−	2.15364i	0.119096	−	0.206281i	−0.800313	−	0.599582i	$-0.795334\pi$
$109$	1.24340	−	2.15364i	0.119096	−	0.206281i	0.919410	+	0.393301i	$0.128667\pi$
$110$	25.2660	+	11.4017i	2.40902	+	1.08711i
$111$	7.81723	+	3.23552i	0.741979	+	0.307102i
$112$	4.52705	−	4.09011i	0.427766	−	0.386479i
$113$	−9.55604	−	13.1528i	−0.898957	−	1.23731i	−0.970800	−	0.239892i	$-0.922888\pi$
$113$	−9.55604	−	13.1528i	−0.898957	−	1.23731i	0.0718429	−	0.997416i	$-0.477112\pi$
$114$	−7.58697	+	13.9825i	−0.710585	+	1.30958i
$115$	−3.11425	+	14.6514i	−0.290405	+	1.36625i
$116$	1.40012	−	6.58704i	0.129998	−	0.611592i
$117$	−7.93374	−	9.78649i	−0.733475	−	0.904761i
$118$	13.0412	+	17.9497i	1.20054	+	1.65240i
$119$	2.98654	+	0.964784i	0.273776	+	0.0884416i
$120$	−3.55054	+	8.57835i	−0.324119	+	0.783093i
$121$	10.7821	−	2.17868i	0.980190	−	0.198062i
$122$	−1.97853	+	3.42691i	−0.179127	+	0.310258i
$123$	0.864766	+	2.43992i	0.0779734	+	0.220000i
$124$	−0.932319	+	2.09402i	−0.0837247	+	0.188049i
$125$	−15.8492	−	11.5151i	−1.41759	−	1.02994i
$126$	−7.72901	+	15.2534i	−0.688555	+	1.35888i
$127$	1.07183	+	3.29876i	0.0951097	+	0.292718i	0.987282	−	0.158977i	$-0.0508196\pi$
$127$	1.07183	+	3.29876i	0.0951097	+	0.292718i	−0.892173	+	0.451695i	$0.850820\pi$
$128$	10.4278	+	1.09601i	0.921697	+	0.0968742i
$129$	−1.40147	+	4.73599i	−0.123392	+	0.416980i
$130$	23.4852	+	26.0829i	2.05978	+	2.28762i
$131$	8.74940	+	15.1544i	0.764439	+	1.32405i	0.940543	+	0.339675i	$0.110317\pi$
$131$	8.74940	+	15.1544i	0.764439	+	1.32405i	−0.176104	+	0.984372i	$0.556350\pi$
$132$	3.47191	+	14.7708i	0.302191	+	1.28563i
$133$	5.62315	−	9.77787i	0.487589	−	0.847849i
$134$	−28.2601	−	9.18227i	−2.44130	−	0.793227i
$135$	−0.511267	+	20.1516i	−0.0440028	+	1.73437i
$136$	0.666653	+	1.49733i	0.0571650	+	0.128395i
$137$	0.400076	−	1.88221i	0.0341808	−	0.160808i	−0.957747	−	0.287612i	$-0.907139\pi$
$137$	0.400076	−	1.88221i	0.0341808	−	0.160808i	0.991928	+	0.126804i	$0.0404719\pi$
$138$	−13.0024	+	6.20614i	−1.10683	+	0.528302i
$139$	−5.59696	+	7.70355i	−0.474728	+	0.653407i	−0.977481	−	0.211023i	$-0.932320\pi$
$139$	−5.59696	+	7.70355i	−0.474728	+	0.653407i	0.502753	+	0.864430i	$0.332320\pi$
$140$	10.9849	−	24.7855i	0.928390	−	2.09476i
$141$	−2.22588	+	2.60760i	−0.187453	+	0.219600i
$142$	−11.1358	−	19.2878i	−0.934495	−	1.61859i
$143$	13.6090	+	2.96429i	1.13804	+	0.247887i
$144$	6.68128	−	1.79413i	0.556773	−	0.149511i
$145$	2.05640	+	9.67459i	0.170774	+	0.803431i
$146$	−1.22422	+	0.889450i	−0.101317	+	0.0736114i
$147$	5.74614	−	10.6762i	0.473934	−	0.880561i
$148$	−3.98690	−	12.2704i	−0.327721	−	1.00862i
$149$	10.0552	+	9.05374i	0.823754	+	0.741712i	0.968835	−	0.247708i	$-0.0796774\pi$
$149$	10.0552	+	9.05374i	0.823754	+	0.741712i	−0.145080	+	0.989420i	$0.546344\pi$
$150$	−0.991839	−	37.4880i	−0.0809834	−	3.06088i
$151$	−2.42786	−	23.0996i	−0.197577	−	1.87982i	−0.423820	−	0.905746i	$-0.639311\pi$
$151$	−2.42786	−	23.0996i	−0.197577	−	1.87982i	0.226243	−	0.974071i	$-0.427356\pi$
$152$	5.76178	−	1.22470i	0.467342	−	0.0993367i
$153$	2.51777	+	2.51504i	0.203550	+	0.203329i
$154$	−3.86884	−	18.5045i	−0.311760	−	1.49113i
$155$		−	3.36661i		−	0.270413i
$156$	−3.49604	+	18.8915i	−0.279907	+	1.51253i
$157$	17.7996	−	1.87081i	1.42056	−	0.149307i	0.637115	−	0.770769i	$-0.280128\pi$
$157$	17.7996	−	1.87081i	1.42056	−	0.149307i	0.783444	+	0.621462i	$0.213461\pi$
$158$	1.48525	+	3.33593i	0.118160	+	0.265392i
$159$	−7.44862	−	15.6055i	−0.590714	−	1.23759i
$160$	−28.5252	+	9.26841i	−2.25512	+	0.732732i
$161$	9.32520	−	4.17083i	0.734929	−	0.328707i
$162$	−15.6740	+	11.4138i	−1.23146	+	0.896755i
$163$	−7.34024	+	1.56022i	−0.574932	+	0.122206i	−0.486196	−	0.873850i	$-0.661616\pi$
$163$	−7.34024	+	1.56022i	−0.574932	+	0.122206i	−0.0887358	+	0.996055i	$0.528283\pi$
$164$	1.97381	−	3.41874i	0.154129	−	0.266959i
$165$	−13.4823	−	17.7447i	−1.04960	−	1.38142i
$166$	7.64286	−	4.41261i	0.593201	−	0.342485i
$167$	3.50645	−	10.7917i	0.271337	−	0.835089i	−0.718828	−	0.695188i	$-0.755321\pi$
$167$	3.50645	−	10.7917i	0.271337	−	0.835089i	0.990165	−	0.139902i	$-0.0446787\pi$
$168$	6.15386	−	1.49023i	0.474781	−	0.114974i
$169$	3.75021	+	2.72469i	0.288478	+	0.209591i
$170$	−7.36777	−	6.63397i	−0.565082	−	0.508802i
$171$	10.7226	−	6.97161i	0.819977	−	0.533132i
$172$	6.88071	−	3.06349i	0.524649	−	0.233589i
$173$	−11.0666	−	4.92717i	−0.841379	−	0.374606i	−0.0596462	−	0.998220i	$-0.518997\pi$
$173$	−11.0666	−	4.92717i	−0.841379	−	0.374606i	−0.781733	+	0.623614i	$0.785664\pi$
$174$	−6.17661	+	7.23586i	−0.468248	+	0.548549i
$175$	0.0451318	+	26.5895i	0.00341164	+	2.00997i
$176$	−4.52651	+	6.16476i	−0.341199	+	0.464686i
$177$	−2.33309	−	17.6844i	−0.175365	−	1.32924i
$178$	2.89194	−	2.60392i	0.216760	−	0.195172i
$179$	13.0843	−	1.37522i	0.977967	−	0.102788i	0.397962	−	0.917402i	$-0.369717\pi$
$179$	13.0843	−	1.37522i	0.977967	−	0.102788i	0.580004	+	0.814613i	$0.303051\pi$
$180$	23.8795	−	19.3587i	1.77987	−	1.44291i
$181$	15.6418	−	5.08232i	1.16264	−	0.377766i	0.336752	−	0.941593i	$-0.390672\pi$
$181$	15.6418	−	5.08232i	1.16264	−	0.377766i	0.825893	+	0.563827i	$0.190672\pi$
$182$	4.93698	−	23.4221i	0.365953	−	1.73616i
$183$	2.71209	−	1.66298i	0.200484	−	0.122931i
$184$	4.87361	+	2.16987i	0.359287	+	0.159965i
$185$	12.6796	+	14.0821i	0.932223	+	1.03534i
$186$	2.56853	−	1.97201i	0.188334	−	0.144595i
$187$	−3.91066	−	0.430924i	−0.285975	−	0.0315123i
$188$	5.22829			0.381312
$189$	11.3103	−	7.81523i	0.822701	−	0.568474i
$190$	−28.8261	+	20.9434i	−2.09127	+	1.51939i
$191$	−2.11933	−	0.222750i	−0.153349	−	0.0161176i	0.0275428	−	0.999621i	$-0.491232\pi$
$191$	−2.11933	−	0.222750i	−0.153349	−	0.0161176i	−0.180892	+	0.983503i	$0.557898\pi$
$192$	−17.1956	−	11.8113i	−1.24098	−	0.852409i
$193$	−19.1270	−	4.06556i	−1.37679	−	0.292645i	−0.540689	−	0.841223i	$-0.681836\pi$
$193$	−19.1270	−	4.06556i	−1.37679	−	0.292645i	−0.836100	+	0.548578i	$0.815170\pi$
$194$	0.705927	−	6.71644i	0.0506826	−	0.482212i
$195$	−6.59473	−	27.4362i	−0.472259	−	1.96475i
$196$	−18.0722	+	3.90554i	−1.29087	+	0.278967i
$197$		−	7.62812i		−	0.543481i	−0.962371	−	0.271740i	$-0.912401\pi$
$197$		−	7.62812i		−	0.543481i	0.962371	−	0.271740i	$-0.0875992\pi$
$198$	5.64084	−	20.6803i	0.400877	−	1.46968i
$199$	1.30690	+	0.754538i	0.0926436	+	0.0534878i	0.545606	−	0.838042i	$-0.316300\pi$
$199$	1.30690	+	0.754538i	0.0926436	+	0.0534878i	−0.452962	+	0.891530i	$0.649633\pi$
$200$	−10.3192	+	9.29148i	−0.729680	+	0.657007i
$201$	16.4491	+	17.3243i	1.16023	+	1.22196i
$202$	14.9168	−	20.5313i	1.04955	−	1.44458i
$203$	4.50507	−	5.02049i	0.316194	−	0.352370i
$204$	0.424329	−	5.41038i	0.0297089	−	0.378802i
$205$	−0.606054	+	5.76622i	−0.0423287	+	0.402730i
$206$	0.234761	+	2.23360i	0.0163565	+	0.155622i
$207$	11.5677	+	0.599939i	0.804009	+	0.0416986i
$208$	−8.38653	+	4.84197i	−0.581501	+	0.335730i
$209$	−4.43695	+	13.4254i	−0.306910	+	0.928654i
$210$	−30.3394	+	23.3753i	−2.09362	+	1.61305i
$211$	6.13475	−	18.8808i	0.422334	−	1.29981i	−0.483190	−	0.875515i	$-0.660522\pi$
$211$	6.13475	−	18.8808i	0.422334	−	1.29981i	0.905524	−	0.424295i	$-0.139478\pi$
$212$	−10.7256	+	24.0901i	−0.736638	+	1.65452i
$213$	0.473574	+	17.8994i	0.0324487	+	1.22645i
$214$	−7.15175	−	1.52015i	−0.488883	−	0.103915i
$215$	−7.40211	+	8.22088i	−0.504820	+	0.560659i
$216$	6.98250	+	1.67034i	0.475099	+	0.113652i
$217$	−1.85522	+	1.35272i	−0.125941	+	0.0918284i
$218$	5.09530	+	1.65556i	0.345098	+	0.112129i
$219$	1.20613	−	0.159123i	0.0815028	−	0.0107526i
$220$	−7.23300	+	33.2064i	−0.487649	+	2.23878i
$221$	−4.31418	−	2.49080i	−0.290203	−	0.167549i
$222$	−3.31671	+	17.9225i	−0.222603	+	1.20288i
$223$	0.774136	+	1.06551i	0.0518400	+	0.0713516i	0.834150	−	0.551538i	$-0.185959\pi$
$223$	0.774136	+	1.06551i	0.0518400	+	0.0713516i	−0.782310	+	0.622889i	$0.785959\pi$
$224$	16.5691	+	11.9952i	1.10707	+	0.801463i
$225$	−13.6731	+	26.8710i	−0.911538	+	1.79140i
$226$	23.4365	−	26.0288i	1.55897	−	1.73141i
$227$	−20.5931	+	9.16864i	−1.36681	+	0.608544i	−0.953319	−	0.301964i	$-0.902358\pi$
$227$	−20.5931	+	9.16864i	−1.36681	+	0.608544i	−0.413492	+	0.910508i	$0.635691\pi$
$228$	−18.7024	−	5.53438i	−1.23860	−	0.366523i
$229$	1.44090	+	6.77888i	0.0952171	+	0.447961i	0.999767	+	0.0215930i	$0.00687381\pi$
$229$	1.44090	+	6.77888i	0.0952171	+	0.447961i	−0.904550	+	0.426368i	$0.859793\pi$
$230$	−32.2698			−2.12781
$231$	−4.36125	+	14.5595i	−0.286949	+	0.957946i
$232$	3.52269			0.231276
$233$	0.123865	+	0.582737i	0.00811464	+	0.0381764i	0.982019	−	0.188784i	$-0.0604546\pi$
$233$	0.123865	+	0.582737i	0.00811464	+	0.0381764i	−0.973904	+	0.226960i	$0.927121\pi$
$234$	17.0694	−	21.1023i	1.11586	−	1.37950i
$235$	−7.01506	+	3.12331i	−0.457612	+	0.203742i
$236$	−18.2018	+	20.2151i	−1.18483	+	1.31589i
$237$	0.229545	−	2.92680i	0.0149106	−	0.190116i
$238$	−0.695357	+	6.72568i	−0.0450733	+	0.435961i
$239$	−1.21136	−	1.66729i	−0.0783561	−	0.107848i	0.768040	−	0.640402i	$-0.221232\pi$
$239$	−1.21136	−	1.66729i	−0.0783561	−	0.107848i	−0.846396	+	0.532554i	$0.821232\pi$
$240$	15.2361	+	2.81956i	0.983484	+	0.182002i
$241$	15.5893	+	9.00047i	1.00419	+	0.579771i	0.909486	−	0.415734i	$-0.136475\pi$
$241$	15.5893	+	9.00047i	1.00419	+	0.579771i	0.0947071	+	0.995505i	$0.469809\pi$
$242$	9.42064	+	21.7452i	0.605582	+	1.39783i
$243$	15.4523	−	2.05568i	0.991267	−	0.131872i
$244$	−4.61404	−	1.49919i	−0.295384	−	0.0959760i
$245$	21.9153	−	16.0363i	1.40012	−	1.02452i
$246$	−4.75430	+	2.91521i	−0.303123	+	0.185867i
$247$	−11.9797	+	13.3048i	−0.762248	+	0.846563i
$248$	−1.17285	−	0.249297i	−0.0744762	−	0.0158304i
$249$	−7.09271	+	0.187656i	−0.449482	+	0.0118922i
$250$	17.1666	−	38.5568i	1.08571	−	2.43854i
$251$	7.91491	−	24.3596i	0.499585	−	1.53756i	−0.310103	−	0.950703i	$-0.600364\pi$
$251$	7.91491	−	24.3596i	0.499585	−	1.53756i	0.809688	−	0.586861i	$-0.199636\pi$
$252$	−20.2628	−	5.38077i	−1.27643	−	0.338956i
$253$	−10.3978	+	7.47481i	−0.653703	+	0.469938i
$254$	−6.47138	+	3.73625i	−0.406050	+	0.234433i
$255$	2.66274	+	7.51287i	0.166747	+	0.470474i
$256$	−0.156733	−	1.49122i	−0.00979582	−	0.0932010i
$257$	2.57217	−	24.4726i	0.160448	−	1.52656i	−0.557333	−	0.830289i	$-0.688175\pi$
$257$	2.57217	−	24.4726i	0.160448	−	1.52656i	0.717781	−	0.696269i	$-0.245158\pi$
$258$	−10.6079	−	0.831962i	−0.660418	−	0.0517957i
$259$	2.66547	−	12.6455i	0.165624	−	0.785756i
$260$	−25.2932	+	34.8131i	−1.56862	+	2.15902i
$261$	7.13910	−	2.74489i	0.441899	−	0.169905i
$262$	−28.0158	+	25.2256i	−1.73082	+	1.55844i
$263$	−12.6609	−	7.30978i	−0.780705	−	0.450740i	0.0559750	−	0.998432i	$-0.482173\pi$
$263$	−12.6609	−	7.30978i	−0.780705	−	0.450740i	−0.836680	+	0.547692i	$0.815507\pi$
$264$	−7.18021	+	3.38294i	−0.441912	+	0.208206i
$265$		−	38.7303i		−	2.37918i
$266$	23.1236	+	7.46995i	1.41780	+	0.458012i
$267$	−3.04199	+	0.731191i	−0.186167	+	0.0447482i
$268$	3.80807	−	36.2314i	0.232615	−	2.21318i
$269$	15.6311	+	3.32248i	0.953043	+	0.202575i	0.658092	−	0.752937i	$-0.271364\pi$
$269$	15.6311	+	3.32248i	0.953043	+	0.202575i	0.294950	+	0.955513i	$0.404697\pi$
$270$	−42.6944	+	7.94890i	−2.59830	+	0.483755i
$271$	4.91785	+	0.516887i	0.298738	+	0.0313987i	0.252712	−	0.967542i	$-0.418677\pi$
$271$	4.91785	+	0.516887i	0.298738	+	0.0313987i	0.0460264	+	0.998940i	$0.485344\pi$
$272$	2.21304	−	1.60787i	0.134185	−	0.0974913i
$273$	−12.4694	+	14.6581i	−0.754681	+	0.887149i
$274$	4.14558			0.250444
$275$	−6.76598	−	32.6378i	−0.408004	−	1.96813i
$276$	−10.7571	−	14.0110i	−0.647500	−	0.843364i
$277$	20.3812	+	22.6356i	1.22459	+	1.36004i	0.912019	+	0.410149i	$0.134523\pi$
$277$	20.3812	+	22.6356i	1.22459	+	1.36004i	0.312570	+	0.949895i	$0.398810\pi$
$278$	−18.7407	−	8.34389i	−1.12399	−	0.500433i
$279$	−2.57117	+	0.408664i	−0.153932	+	0.0244660i
$280$	13.8768	+	2.92499i	0.829296	+	0.174802i
$281$	0.882675	−	0.286799i	0.0526560	−	0.0171090i	−0.282571	−	0.959247i	$-0.591187\pi$
$281$	0.882675	−	0.286799i	0.0526560	−	0.0171090i	0.335227	+	0.942138i	$0.391187\pi$
$282$	−6.49202	−	3.52260i	−0.386594	−	0.209767i
$283$	−19.2879	+	2.02724i	−1.14654	+	0.120507i	−0.658687	−	0.752417i	$-0.728888\pi$
$283$	−19.2879	+	2.02724i	−1.14654	+	0.120507i	−0.487857	+	0.872923i	$0.662221\pi$
$284$	20.2921	−	18.2711i	1.20412	−	1.08419i
$285$	28.4001	−	3.74679i	1.68228	−	0.221941i
$286$	−0.150923	+	30.0059i	−0.00892428	+	1.77429i
$287$	3.42108	−	1.98291i	0.201940	−	0.117048i
$288$	10.5411	+	20.6604i	0.621142	+	1.21742i
$289$	−14.2448	−	6.34217i	−0.837927	−	0.373069i
$290$	−19.4661	+	8.66689i	−1.14309	+	0.508937i
$291$	−3.07412	+	4.47547i	−0.180208	+	0.262357i
$292$	−1.37873	−	1.24141i	−0.0806841	−	0.0726483i
$293$	−8.53909	−	6.20401i	−0.498859	−	0.362442i	0.309722	−	0.950827i	$-0.399764\pi$
$293$	−8.53909	−	6.20401i	−0.498859	−	0.362442i	−0.808581	+	0.588385i	$0.799764\pi$
$294$	25.0718	+	7.32674i	1.46222	+	0.427304i
$295$	12.3460	−	37.9971i	0.718813	−	2.21228i
$296$	5.84482	−	3.37451i	0.339723	−	0.196139i
$297$	−11.9155	+	12.4508i	−0.691406	+	0.722466i
$298$	−14.5750	+	25.2447i	−0.844308	+	1.46238i
$299$	−15.8601	+	3.37117i	−0.917214	+	0.194960i
$300$	44.7044	−	10.7454i	2.58101	−	0.620386i
$301$	7.50444	+	0.775872i	0.432549	+	0.0447205i
$302$	47.5902	−	15.4630i	2.73851	−	0.889796i
$303$	−18.4132	+	8.78878i	−1.05781	+	0.504902i
$304$	−3.99863	−	8.98107i	−0.229337	−	0.515099i
$305$	7.08649	−	0.744820i	0.405771	−	0.0426483i
$306$	−4.17218	+	6.43223i	−0.238507	+	0.367706i
$307$			3.15004i			0.179782i	0.995952	+	0.0898912i	$0.0286519\pi$
$307$			3.15004i			0.179782i	−0.995952	+	0.0898912i	$0.971348\pi$
$308$	21.2052	−	9.35661i	1.20828	−	0.533142i
$309$	0.690533	−	1.66837i	0.0392830	−	0.0949105i
$310$	7.09446	−	1.50797i	0.402938	−	0.0856471i
$311$	−0.514006	−	4.89044i	−0.0291466	−	0.277312i	−0.999382	−	0.0351482i	$-0.988810\pi$
$311$	−0.514006	−	4.89044i	−0.0291466	−	0.277312i	0.970235	−	0.242163i	$-0.0778570\pi$
$312$	−10.0465	+	0.265806i	−0.568772	+	0.0150483i
$313$	2.58978	+	2.33185i	0.146383	+	0.131804i	0.739069	−	0.673630i	$-0.235266\pi$
$313$	2.58978	+	2.33185i	0.146383	+	0.131804i	−0.592686	+	0.805434i	$0.701932\pi$
$314$	11.9151	+	36.6710i	0.672410	+	2.06946i
$315$	30.4020	−	4.88504i	1.71296	−	0.275241i
$316$	−3.62199	+	2.63153i	−0.203753	+	0.148035i
$317$	2.60256	+	12.2441i	0.146174	+	0.687696i	0.988806	+	0.149206i	$0.0476717\pi$
$317$	2.60256	+	12.2441i	0.146174	+	0.687696i	−0.842632	+	0.538490i	$0.818995\pi$
$318$	29.5490	−	22.6865i	1.65702	−	1.27219i
$319$	−4.26471	+	7.30163i	−0.238778	+	0.408813i
$320$	−23.3625	−	40.4650i	−1.30600	−	2.26206i
$321$	4.47088	+	3.81639i	0.249540	+	0.213010i
$322$	12.9661	+	17.7828i	0.722574	+	0.990996i
$323$	2.97257	−	4.09140i	0.165398	−	0.227651i
$324$	−17.6834	−	15.8874i	−0.982409	−	0.882636i
$325$	8.77474	−	41.2819i	0.486735	−	2.28991i
$326$	−6.57569	−	14.7692i	−0.364194	−	0.817992i
$327$	−2.96578	−	3.12358i	−0.164008	−	0.172734i
$328$	1.96394	+	0.638124i	0.108441	+	0.0352345i
$329$	4.53982	+	2.61080i	0.250289	+	0.143938i
$330$	31.3544	−	36.3595i	1.72600	−	2.00152i
$331$	4.28526	+	7.42229i	0.235539	+	0.407966i	0.959429	−	0.281949i	$-0.0909810\pi$
$331$	4.28526	+	7.42229i	0.235539	+	0.407966i	−0.723890	+	0.689915i	$0.757648\pi$
$332$	7.24001	+	8.04085i	0.397347	+	0.441299i
$333$	9.21574	−	11.3931i	0.505019	−	0.624340i
$334$	24.3120	+	2.55530i	1.33029	+	0.139820i
$335$	16.5346	+	50.8884i	0.903384	+	2.78033i
$336$	−4.56814	−	9.52899i	−0.249213	−	0.519849i
$337$	−13.5301	−	9.83018i	−0.737031	−	0.535484i	0.154749	−	0.987954i	$-0.450543\pi$
$337$	−13.5301	−	9.83018i	−0.737031	−	0.535484i	−0.891780	+	0.452470i	$0.850543\pi$
$338$	−4.06194	+	9.12326i	−0.220940	+	0.496240i
$339$	−26.5415	+	9.40693i	−1.44153	+	0.510914i
$340$	6.07765	−	10.5268i	0.329607	−	0.570896i
$341$	1.93663	−	2.12921i	0.104875	−	0.115303i
$342$	19.4941	+	19.4730i	1.05412	+	1.05298i
$343$	−17.6427	−	5.63331i	−0.952618	−	0.304170i
$344$	2.31584	+	3.18749i	0.124862	+	0.171858i
$345$	22.8033	+	12.3732i	1.22769	+	0.666149i
$346$	5.42607	−	25.5276i	0.291707	−	1.37237i
$347$	−4.11256	+	19.3481i	−0.220774	+	1.03866i	0.718510	+	0.695517i	$0.244825\pi$
$347$	−4.11256	+	19.3481i	−0.220774	+	1.03866i	−0.939284	+	0.343142i	$0.888509\pi$
$348$	−10.2520	−	5.56279i	−0.549566	−	0.298197i
$349$	9.14008	+	12.5802i	0.489257	+	0.673405i	0.980251	−	0.197758i	$-0.0633661\pi$
$349$	9.14008	+	12.5802i	0.489257	+	0.673405i	−0.490994	+	0.871163i	$0.663366\pi$
$350$	−56.0118	+	12.0051i	−2.99395	+	0.641698i
$351$	−20.1532	+	8.36697i	−1.07570	+	0.446596i
$352$	−23.3724	−	10.5473i	−1.24575	−	0.562170i
$353$	−15.2869	+	26.4777i	−0.813641	+	1.40927i	0.0966584	+	0.995318i	$0.469185\pi$
$353$	−15.2869	+	26.4777i	−0.813641	+	1.40927i	−0.910300	+	0.413950i	$0.864149\pi$
$354$	36.2214	−	12.8377i	1.92514	−	0.682318i
$355$	−16.3121	+	36.6375i	−0.865755	+	1.94452i
$356$	3.85991	+	2.80439i	0.204575	+	0.148632i
$357$	3.07019	−	4.48605i	0.162492	−	0.237427i
$358$	8.75872	+	26.9566i	0.462913	+	1.42470i
$359$	1.01329	+	0.106501i	0.0534794	+	0.00562092i	0.131230	−	0.991352i	$-0.458107\pi$
$359$	1.01329	+	0.106501i	0.0534794	+	0.00562092i	−0.0777510	+	0.996973i	$0.524774\pi$
$360$	12.5024	+	10.1130i	0.658935	+	0.533003i
$361$	0.551876	+	0.612920i	0.0290461	+	0.0322590i
$362$	17.7163	+	30.6855i	0.931146	+	1.61279i
$363$	1.68068	−	18.9783i	0.0882131	−	0.996102i
$364$	29.3472	−	0.0498127i	1.53821	−	0.00261089i
$365$	2.59152	+	0.842035i	0.135646	+	0.0440741i
$366$	4.71921	+	4.97031i	0.246677	+	0.259802i
$367$	−12.4952	−	28.0648i	−0.652246	−	1.46497i	−0.872046	−	0.489424i	$-0.837207\pi$
$367$	−12.4952	−	28.0648i	−0.652246	−	1.46497i	0.219800	−	0.975545i	$-0.429459\pi$
$368$	1.85116	−	8.70904i	0.0964985	−	0.453990i
$369$	4.47737	−	0.237087i	0.233083	−	0.0123422i
$370$	−23.9958	+	33.0274i	−1.24748	+	1.71701i
$371$	−21.3429	+	15.5620i	−1.10807	+	0.807937i
$372$	3.01966	+	2.57762i	0.156562	+	0.133643i
$373$	4.46665	+	7.73646i	0.231274	+	0.400579i	0.958183	−	0.286155i	$-0.0923772\pi$
$373$	4.46665	+	7.73646i	0.231274	+	0.400579i	−0.726909	+	0.686734i	$0.759044\pi$
$374$	−0.843576	−	8.43394i	−0.0436203	−	0.436109i
$375$	−26.9144	+	20.6638i	−1.38986	+	1.06707i
$376$	0.568625	+	2.67517i	0.0293246	+	0.137961i
$377$	−8.66190	+	6.29324i	−0.446110	+	0.324118i
$378$	21.5351	+	20.3335i	1.10765	+	1.04584i
$379$	−7.15669	−	22.0260i	−0.367615	−	1.13140i	−0.948327	−	0.317293i	$-0.897226\pi$
$379$	−7.15669	−	22.0260i	−0.367615	−	1.13140i	0.580713	−	0.814108i	$-0.302774\pi$
$380$	−32.4642	−	29.2309i	−1.66538	−	1.49951i
$381$	6.00555	−	0.158892i	0.307674	−	0.00814029i
$382$	−0.479888	−	4.56583i	−0.0245532	−	0.233608i
$383$	29.8418	−	6.34307i	1.52485	−	0.324116i	0.632175	−	0.774826i	$-0.282162\pi$
$383$	29.8418	−	6.34307i	1.52485	−	0.324116i	0.892671	+	0.450710i	$0.148829\pi$
$384$	6.94535	−	16.7804i	0.354429	−	0.856323i
$385$	−22.8626	+	25.2219i	−1.16518	+	1.28543i
$386$		−	42.1273i		−	2.14422i
$387$	7.17701	+	4.65527i	0.364828	+	0.236641i
$388$	8.23460	−	0.865491i	0.418048	−	0.0439386i
$389$	1.60633	+	3.60788i	0.0814443	+	0.182927i	0.949677	−	0.313230i	$-0.101411\pi$
$389$	1.60633	+	3.60788i	0.0814443	+	0.182927i	−0.868233	+	0.496156i	$0.834744\pi$
$390$	54.8624	−	26.1863i	2.77807	−	1.32600i
$391$	4.35600	−	1.41535i	0.220293	−	0.0715774i
$392$	−3.96388	−	8.82229i	−0.200206	−	0.445593i
$393$	29.4695	−	7.08345i	1.48654	−	0.357313i
$394$	16.0747	−	3.41679i	0.809833	−	0.172135i
$395$	3.28777	−	5.69458i	0.165426	−	0.286526i
$396$	26.2386	+	1.49319i	1.31854	+	0.0750355i
$397$	11.5236	−	6.65313i	0.578351	−	0.333911i	−0.182127	−	0.983275i	$-0.558298\pi$
$397$	11.5236	−	6.65313i	0.578351	−	0.333911i	0.760478	+	0.649364i	$0.224965\pi$
$398$	−1.00465	+	3.09200i	−0.0503586	+	0.154988i
$399$	−13.4760	−	14.1449i	−0.674644	−	0.708129i
$400$	18.7489	+	13.6219i	0.937447	+	0.681095i
$401$	−16.6558	−	14.9970i	−0.831752	−	0.748913i	0.138667	−	0.990339i	$-0.455718\pi$
$401$	−16.6558	−	14.9970i	−0.831752	−	0.748913i	−0.970419	+	0.241426i	$0.922385\pi$
$402$	−29.1397	+	42.4231i	−1.45335	+	2.11587i
$403$	3.32928	−	1.48229i	0.165843	−	0.0738382i
$404$	28.4244	+	12.6554i	1.41417	+	0.629628i
$405$	33.2176	+	10.7532i	1.65060	+	0.534331i
$406$	12.5976	+	7.24474i	0.625208	+	0.359551i
$407$	−0.0814833	+	16.2002i	−0.00403898	+	0.803012i
$408$	2.81449	−	0.371312i	0.139338	−	0.0183827i
$409$	10.8729	−	9.78999i	0.537630	−	0.484084i	−0.355005	−	0.934864i	$-0.615521\pi$
$409$	10.8729	−	9.78999i	0.537630	−	0.484084i	0.892635	+	0.450780i	$0.148854\pi$
$410$	−12.4226	+	1.30567i	−0.613509	+	0.0644824i
$411$	−2.92945	−	1.58953i	−0.144499	−	0.0784060i
$412$	−2.61879	+	0.850895i	−0.129018	+	0.0419206i
$413$	−25.8996	+	8.46392i	−1.27444	+	0.416482i
$414$	3.91714	+	24.6453i	0.192517	+	1.21125i
$415$	−14.5178	−	6.46373i	−0.712650	−	0.317292i
$416$	−21.7251	−	24.1281i	−1.06516	−	1.18298i
$417$	10.0437	+	13.0819i	0.491843	+	0.640623i
$418$	−30.2787	−	3.33648i	−1.48098	−	0.163193i
$419$	−15.4042			−0.752542			−0.376271	−	0.926510i	$-0.622794\pi$
$419$	−15.4042			−0.752542			−0.376271	+	0.926510i	$0.622794\pi$
$420$	−35.7664	−	30.4258i	−1.74522	−	1.48463i
$421$	−4.94134	+	3.59010i	−0.240826	+	0.174971i	−0.701651	−	0.712520i	$-0.747554\pi$
$421$	−4.94134	+	3.59010i	−0.240826	+	0.174971i	0.460825	+	0.887491i	$0.347554\pi$
$422$	42.5354	+	4.47066i	2.07059	+	0.217628i
$423$	3.23689	+	4.97845i	0.157383	+	0.242060i
$424$	−13.4928	−	2.86797i	−0.655266	−	0.139281i
$425$	−1.24615	+	11.8563i	−0.0604471	+	0.575116i
$426$	−37.5072	+	9.01546i	−1.81723	+	0.436800i
$427$	−3.25782	−	3.60585i	−0.157657	−	0.174499i
$428$		−	8.96418i		−	0.433300i
$429$	11.6118	−	21.1457i	0.560622	−	1.02092i
$430$	−20.6394	−	11.9162i	−0.995321	−	0.574649i
$431$	−8.70747	+	7.84024i	−0.419424	+	0.377651i	−0.851647	−	0.524116i	$-0.824396\pi$
$431$	−8.70747	+	7.84024i	−0.419424	+	0.377651i	0.432223	+	0.901767i	$0.357729\pi$
$432$	0.303906	−	11.9784i	0.0146217	−	0.576312i
$433$	−9.77860	+	13.4591i	−0.469930	+	0.646803i	−0.976531	−	0.215378i	$-0.930902\pi$
$433$	−9.77860	+	13.4591i	−0.469930	+	0.646803i	0.506601	+	0.862181i	$0.330902\pi$
$434$	−3.68157	−	3.30360i	−0.176721	−	0.158578i
$435$	17.0788	+	1.33947i	0.818865	+	0.0642224i
$436$	−0.686596	+	6.53253i	−0.0328820	+	0.312851i
$437$	−1.72061	−	16.3705i	−0.0823080	−	0.783108i
$438$	0.875571	+	2.47041i	0.0418364	+	0.118041i
$439$	34.7403	−	20.0573i	1.65806	−	0.957283i	0.684455	−	0.729055i	$-0.260040\pi$
$439$	34.7403	−	20.0573i	1.65806	−	0.957283i	0.973608	−	0.228228i	$-0.0732933\pi$
$440$	−17.7775	−	0.0894169i	−0.847508	−	0.00426278i
$441$	−14.9076	−	14.7907i	−0.709886	−	0.704317i
$442$	3.31644	−	10.2070i	0.157747	−	0.485495i
$443$	−5.47050	+	12.2869i	−0.259911	+	0.583770i	−0.995616	−	0.0935319i	$-0.970184\pi$
$443$	−5.47050	+	12.2869i	−0.259911	+	0.583770i	0.735705	+	0.677302i	$0.236851\pi$
$444$	−22.3389	+	0.591033i	−1.06016	+	0.0280492i
$445$	−6.85434	−	1.45693i	−0.324927	−	0.0690653i
$446$	−1.89859	+	2.10860i	−0.0899008	+	0.0998450i
$447$	19.9789	−	12.2505i	0.944969	−	0.579431i
$448$	−12.9117	+	29.1332i	−0.610022	+	1.37642i
$449$	6.04485	+	1.96409i	0.285274	+	0.0926911i	0.448159	−	0.893954i	$-0.352080\pi$
$449$	6.04485	+	1.96409i	0.285274	+	0.0926911i	−0.162885	+	0.986645i	$0.552080\pi$
$450$	−62.7496	−	16.7772i	−2.95805	−	0.790885i
$451$	−3.70030	+	3.29822i	−0.174240	+	0.155307i
$452$	37.1890	+	21.4711i	1.74922	+	1.00992i
$453$	−39.5584	−	7.32060i	−1.85861	−	0.343952i
$454$	−28.5451	−	39.2890i	−1.33969	−	1.84392i
$455$	−39.3469	+	17.5985i	−1.84461	+	0.825029i
$456$	0.797730	−	10.1714i	0.0373571	−	0.476320i
$457$	−27.8401	+	30.9195i	−1.30230	+	1.44635i	−0.480040	+	0.877247i	$0.659378\pi$
$457$	−27.8401	+	30.9195i	−1.30230	+	1.44635i	−0.822263	+	0.569107i	$0.807289\pi$
$458$	−13.6397	+	6.07280i	−0.637343	+	0.283763i
$459$	5.41455	−	2.94557i	0.252729	−	0.137487i
$460$	−8.22580	−	38.6994i	−0.383530	−	1.80437i
$461$	10.3513			0.482110			0.241055	−	0.970511i	$-0.422507\pi$
$461$	10.3513			0.482110			0.241055	+	0.970511i	$0.422507\pi$
$462$	−32.6348	−	2.66895i	−1.51831	−	0.124171i
$463$	15.9086			0.739337			0.369669	−	0.929164i	$-0.379471\pi$
$463$	15.9086			0.739337			0.369669	+	0.929164i	$0.379471\pi$
$464$	−1.22236	−	5.75074i	−0.0567465	−	0.266971i
$465$	−5.59146	−	1.65462i	−0.259298	−	0.0767310i
$466$	−1.17252	+	0.522040i	−0.0543160	+	0.0241830i
$467$	−9.96036	+	11.0621i	−0.460910	+	0.511893i	−0.928134	−	0.372246i	$-0.878588\pi$
$467$	−9.96036	+	11.0621i	−0.460910	+	0.511893i	0.467224	+	0.884139i	$0.345254\pi$
$468$	29.6579	+	15.0912i	1.37094	+	0.697591i
$469$	21.3992	−	29.5588i	0.988122	−	1.36490i
$470$	−9.72393	−	13.3838i	−0.448531	−	0.617350i
$471$	5.64094	−	30.4820i	0.259921	−	1.40454i
$472$	−12.3231	−	7.11476i	−0.567218	−	0.327483i
$473$	−9.41050	+	0.941253i	−0.432695	+	0.0432789i
$474$	6.27047	−	0.827255i	0.288012	−	0.0379971i
$475$	40.7481	+	13.2399i	1.86965	+	0.607487i
$476$	−8.24298	+	0.880520i	−0.377816	+	0.0403586i
$477$	−29.5793	+	4.70136i	−1.35434	+	0.215260i
$478$	2.97089	−	3.29950i	0.135885	−	0.150916i
$479$	27.4259	+	5.82956i	1.25312	+	0.266360i	0.786219	−	0.617948i	$-0.212036\pi$
$479$	27.4259	+	5.82956i	1.25312	+	0.266360i	0.466904	+	0.884308i	$0.345369\pi$
$480$	1.37398	+	51.9316i	0.0627135	+	2.37034i
$481$	−8.34326	+	18.7393i	−0.380420	+	0.854437i
$482$	−11.9839	+	36.8828i	−0.545853	+	1.67996i
$483$	−2.34402	−	17.5377i	−0.106657	−	0.797993i
$484$	−23.6764	+	16.8407i	−1.07620	+	0.765484i
$485$	−10.5317	+	6.08051i	−0.478222	+	0.276102i
$486$	11.2533	+	31.6419i	0.510462	+	1.43531i
$487$	0.653097	+	6.21380i	0.0295946	+	0.281574i	0.999304	+	0.0373113i	$0.0118793\pi$
$487$	0.653097	+	6.21380i	0.0295946	+	0.281574i	−0.969709	+	0.244263i	$0.921454\pi$
$488$	0.265276	−	2.52393i	0.0120085	−	0.114253i
$489$	−1.01627	+	12.9579i	−0.0459574	+	0.585977i
$490$	43.6097	+	38.9991i	1.97008	+	1.76180i
$491$	15.5414	−	21.3909i	0.701375	−	0.965360i	−0.298565	−	0.954389i	$-0.596508\pi$
$491$	15.5414	−	21.3909i	0.701375	−	0.965360i	0.999940	−	0.0109704i	$-0.00349206\pi$
$492$	−4.70795	−	4.95845i	−0.212251	−	0.223544i
$493$	2.24755	−	2.02370i	0.101224	−	0.0911429i
$494$	−33.4031	−	19.2853i	−1.50288	−	0.867686i
$495$	−36.0977	+	13.6711i	−1.62247	+	0.614469i
$496$			2.00117i			0.0898552i
$497$	26.7439	−	5.73206i	1.19963	−	0.257118i
$498$	−3.57242	−	14.8624i	−0.160084	−	0.666000i
$499$	−1.65572	+	15.7531i	−0.0741202	+	0.705207i	0.892856	+	0.450341i	$0.148698\pi$
$499$	−1.65572	+	15.7531i	−0.0741202	+	0.705207i	−0.966977	+	0.254865i	$0.917969\pi$
$500$	50.6148	+	10.7585i	2.26356	+	0.481135i
$501$	−16.2002	−	11.1276i	−0.723771	−	0.497145i
$502$	54.8782	+	5.76793i	2.44933	+	0.257435i
$503$	5.49455	−	3.99203i	0.244990	−	0.177996i	−0.458513	−	0.888687i	$-0.651618\pi$
$503$	5.49455	−	3.99203i	0.244990	−	0.177996i	0.703504	+	0.710692i	$0.251618\pi$
$504$	0.549426	−	10.9531i	0.0244734	−	0.487890i
$505$	−45.6986			−2.03356
$506$	−20.4090	−	18.5631i	−0.907293	−	0.825231i
$507$	6.36846	−	4.88944i	0.282833	−	0.217148i
$508$	−6.13028	−	6.80836i	−0.271987	−	0.302072i
$509$	13.6588	+	6.08130i	0.605417	+	0.269549i	0.686467	−	0.727161i	$-0.259161\pi$
$509$	13.6588	+	6.08130i	0.605417	+	0.269549i	−0.0810502	+	0.996710i	$0.525827\pi$
$510$	−14.6392	+	8.97636i	−0.648234	+	0.397480i
$511$	−0.577264	−	1.76643i	−0.0255367	−	0.0781422i
$512$	23.0164	−	7.47847i	1.01719	−	0.330505i
$513$	−6.30893	−	21.2351i	−0.278546	−	0.937552i
$514$	52.7232	−	5.54143i	2.32552	−	0.244422i
$515$	3.00544	−	2.70611i	0.132436	−	0.119246i
$516$	−1.70630	−	12.9335i	−0.0751157	−	0.569366i
$517$	−6.23335	−	2.06006i	−0.274142	−	0.0906012i
$518$	27.8419	−	0.0472575i	1.22330	−	0.00207638i
$519$	−13.6223	+	15.9585i	−0.597954	+	0.700499i
$520$	−20.5638	−	9.15559i	−0.901782	−	0.401499i
$521$	−8.60140	+	3.82959i	−0.376834	+	0.167777i	−0.586409	−	0.810015i	$-0.699459\pi$
$521$	−8.60140	+	3.82959i	−0.376834	+	0.167777i	0.209575	+	0.977793i	$0.432792\pi$
$522$	8.98206	+	13.8147i	0.393134	+	0.604655i
$523$	4.90025	+	4.41220i	0.214273	+	0.192932i	0.769277	−	0.638915i	$-0.220617\pi$
$523$	4.90025	+	4.41220i	0.214273	+	0.192932i	−0.555004	+	0.831848i	$0.687283\pi$
$524$	−37.3930	−	27.1676i	−1.63352	−	1.18682i
$525$	44.1835	+	12.9932i	1.92833	+	0.567069i
$526$	9.73282	−	29.9545i	0.424371	−	1.30608i
$527$	−0.891520	+	0.514719i	−0.0388352	+	0.0224215i
$528$	8.01411	+	10.5477i	0.348769	+	0.459031i
$529$	−4.04606	+	7.00798i	−0.175916	+	0.304695i
$530$	81.6163	−	17.3481i	3.54518	−	0.753552i
$531$	−30.5180	−	4.81660i	−1.32437	−	0.209022i
$532$	−3.06392	+	29.6350i	−0.132838	+	1.28484i
$533$	−5.96912	+	1.93949i	−0.258551	+	0.0840085i
$534$	−2.90341	−	6.08287i	−0.125643	−	0.263232i
$535$	5.35508	+	12.0277i	0.231520	+	0.520003i
$536$	18.9528	−	1.99202i	0.818635	−	0.0860420i
$537$	4.14661	−	22.4071i	0.178940	−	0.966936i
$538$			34.4275i			1.48428i
$539$	23.0852	+	2.46452i	0.994350	+	0.106154i
$540$	−20.4158	−	49.1747i	−0.878555	−	2.11614i
$541$	−15.7328	+	3.34412i	−0.676408	+	0.143775i	−0.533292	−	0.845931i	$-0.679045\pi$
$541$	−15.7328	+	3.34412i	−0.676408	+	0.143775i	−0.143115	+	0.989706i	$0.545712\pi$
$542$	1.11357	+	10.5949i	0.0478319	+	0.455091i
$543$	−0.753422	−	28.4766i	−0.0323324	−	1.22205i
$544$	6.81560	+	6.13679i	0.292216	+	0.263113i
$545$	−2.98120	−	9.17519i	−0.127701	−	0.393022i
$546$	−36.4743	−	19.7111i	−1.56096	−	0.843555i
$547$	−18.3481	+	13.3307i	−0.784508	+	0.569978i	−0.906329	−	0.422574i	$-0.861127\pi$
$547$	−18.3481	+	13.3307i	−0.784508	+	0.569978i	0.121820	+	0.992552i	$0.461127\pi$
$548$	1.05674	+	4.97156i	0.0451416	+	0.212375i
$549$	−1.42905	−	5.32172i	−0.0609903	−	0.227125i
$550$	65.7469	−	28.8771i	2.80346	−	1.23132i
$551$	−5.43465	−	9.41308i	−0.231524	−	0.401011i
$552$	5.99912	−	7.02793i	0.255339	−	0.299128i
$553$	−4.45913	+	0.476327i	−0.189621	+	0.0202555i
$554$	−38.5709	+	53.0883i	−1.63872	+	2.25551i
$555$	29.6202	−	14.1380i	1.25731	−	0.600123i
$556$	5.22922	−	24.6016i	0.221769	−	1.04334i
$557$	10.1435	+	22.7827i	0.429794	+	0.965333i	0.990525	+	0.137335i	$0.0438536\pi$
$557$	10.1435	+	22.7827i	0.429794	+	0.965333i	−0.560731	+	0.827998i	$0.689480\pi$
$558$	−2.01285	−	5.23517i	−0.0852109	−	0.221622i
$559$	−11.3888	−	3.70045i	−0.481695	−	0.156512i
$560$	−0.0401740	−	23.6686i	−0.00169766	−	1.00018i
$561$	−2.63771	+	6.28325i	−0.111364	+	0.265279i
$562$	0.999739	+	1.73160i	0.0421714	+	0.0730430i
$563$	−13.9208	−	15.4606i	−0.586692	−	0.651587i	0.374578	−	0.927195i	$-0.377787\pi$
$563$	−13.9208	−	15.4606i	−0.586692	−	0.651587i	−0.961270	+	0.275608i	$0.911121\pi$
$564$	2.56959	−	8.68344i	0.108199	−	0.365639i
$565$	−62.7249	−	6.59266i	−2.63886	−	0.277355i
$566$	−12.9114	−	39.7373i	−0.542707	−	1.67028i
$567$	−7.42124	−	22.6258i	−0.311663	−	0.950193i
$568$	11.5558	+	8.39577i	0.484870	+	0.352279i
$569$	−10.0663	+	22.6093i	−0.422001	+	0.947830i	0.570005	+	0.821641i	$0.306941\pi$
$569$	−10.0663	+	22.6093i	−0.422001	+	0.947830i	−0.992006	+	0.126189i	$0.959726\pi$
$570$	20.6166	+	58.1693i	0.863535	+	2.43644i
$571$	16.7298	−	28.9768i	0.700118	−	1.21264i	−0.268306	−	0.963334i	$-0.586464\pi$
$571$	16.7298	−	28.9768i	0.700118	−	1.21264i	0.968425	−	0.249307i	$-0.0802028\pi$
$572$	−36.0229	+	7.46772i	−1.50619	+	0.312241i
$573$	−1.41156	+	3.41042i	−0.0589688	+	0.142473i
$574$	5.71096	+	6.32106i	0.238371	+	0.263836i
$575$	22.8080	+	31.3926i	0.951161	+	1.30916i
$576$	−28.0682	+	22.7544i	−1.16951	+	0.948101i
$577$	−5.68823	+	26.7610i	−0.236804	+	1.11408i	0.685638	+	0.727942i	$0.259523\pi$
$577$	−5.68823	+	26.7610i	−0.236804	+	1.11408i	−0.922443	+	0.386134i	$0.873810\pi$
$578$	6.98434	−	32.8588i	0.290510	−	1.36674i
$579$	−16.1528	+	29.7690i	−0.671287	+	1.23716i
$580$	−15.3558	−	21.1354i	−0.637614	−	0.877600i
$581$	2.27136	+	10.5974i	0.0942317	+	0.439654i
$582$	−10.8081	−	4.47343i	−0.448011	−	0.185430i
$583$	22.2795	−	24.4950i	0.922721	−	1.01448i
$584$	0.485248	−	0.840474i	0.0200797	−	0.0347791i
$585$	−48.8089	−	2.53139i	−2.01800	−	0.104660i
$586$	9.24888	−	20.7733i	0.382068	−	0.858138i
$587$	−1.06384	−	0.772923i	−0.0439093	−	0.0319019i	0.565614	−	0.824670i	$-0.308639\pi$
$587$	−1.06384	−	0.772923i	−0.0439093	−	0.0319019i	−0.609523	+	0.792768i	$0.708639\pi$
$588$	−2.39556	+	31.9349i	−0.0987912	+	1.31697i
$589$	1.14327	+	3.51862i	0.0471076	+	0.144982i
$590$	85.6014	+	8.99706i	3.52415	+	0.370403i
$591$	−12.6692	−	3.74905i	−0.521142	−	0.154215i
$592$	−7.53697	−	8.37066i	−0.309768	−	0.344032i
$593$	−19.7354	−	34.1828i	−0.810437	−	1.40372i	−0.912559	−	0.408946i	$-0.865897\pi$
$593$	−19.7354	−	34.1828i	−0.810437	−	1.40372i	0.102122	−	0.994772i	$-0.467437\pi$
$594$	−31.5747	−	19.5325i	−1.29552	−	0.801430i
$595$	10.5340	−	6.10568i	0.431852	−	0.250308i
$596$	−33.9898	−	11.0440i	−1.39228	−	0.452378i
$597$	1.89549	−	1.79973i	0.0775774	−	0.0736582i
$598$	−14.2081	−	31.9120i	−0.581014	−	1.30498i
$599$	2.55083	−	12.0007i	0.104224	−	0.490336i	−0.894812	−	0.446443i	$-0.852691\pi$
$599$	2.55083	−	12.0007i	0.104224	−	0.490336i	0.999036	−	0.0438932i	$-0.0139761\pi$
$600$	10.3601	+	21.7053i	0.422951	+	0.886116i
$601$	−22.1270	+	30.4552i	−0.902580	+	1.24229i	0.0670584	+	0.997749i	$0.478639\pi$
$601$	−22.1270	+	30.4552i	−0.902580	+	1.24229i	−0.969638	+	0.244545i	$0.921361\pi$
$602$	1.72640	+	16.1616i	0.0703626	+	0.658699i
$603$	36.8577	−	18.8051i	1.50096	−	0.765804i
$604$	30.6750	+	53.1307i	1.24815	+	2.16186i
$605$	21.7075	−	36.7399i	0.882535	−	1.49369i
$606$	−26.7682	−	34.8654i	−1.08738	−	1.41631i
$607$	−7.60391	−	35.7736i	−0.308633	−	1.45201i	−0.809826	−	0.586670i	$-0.800439\pi$
$607$	−7.60391	−	35.7736i	−0.308633	−	1.45201i	0.501193	−	0.865336i	$-0.332895\pi$
$608$	26.6658	−	19.3738i	1.08144	−	0.785712i
$609$	−6.12418	−	9.94974i	−0.248164	−	0.403184i
$610$	4.74374	+	14.5997i	0.192069	+	0.591126i
$611$	−6.17735	−	5.56211i	−0.249909	−	0.225019i
$612$	−8.77733	−	3.36383i	−0.354802	−	0.135975i
$613$	−1.62572	−	15.4677i	−0.0656621	−	0.624733i	−0.977024	−	0.213128i	$-0.931635\pi$
$613$	−1.62572	−	15.4677i	−0.0656621	−	0.624733i	0.911362	−	0.411605i	$-0.135032\pi$
$614$	−6.63808	+	1.41097i	−0.267891	+	0.0569420i
$615$	9.27901	+	3.84054i	0.374166	+	0.154866i
$616$	7.09378	+	9.83249i	0.285816	+	0.396162i
$617$		−	25.7108i		−	1.03508i	−0.855659	−	0.517539i	$-0.826848\pi$
$617$		−	25.7108i		−	1.03508i	0.855659	−	0.517539i	$-0.173152\pi$
$618$	3.82507	+	0.707860i	0.153867	+	0.0284743i
$619$	20.7369	−	2.17954i	0.833487	−	0.0876031i	0.321835	−	0.946796i	$-0.395700\pi$
$619$	20.7369	−	2.17954i	0.833487	−	0.0876031i	0.511652	+	0.859193i	$0.329034\pi$
$620$	3.61685	+	8.12359i	0.145256	+	0.326251i
$621$	6.68167	−	18.9174i	0.268126	−	0.759129i
$622$	10.0754	−	3.27369i	0.403987	−	0.131263i
$623$	1.95123	+	4.36259i	0.0781744	+	0.174784i
$624$	3.92002	+	16.3086i	0.156926	+	0.652865i
$625$	−25.1881	+	5.35390i	−1.00752	+	0.214156i
$626$	−3.75389	+	6.50192i	−0.150035	+	0.259869i
$627$	20.1170	+	13.9674i	0.803396	+	0.557805i
$628$	−40.9402	+	23.6368i	−1.63369	+	0.943213i
$629$	1.79054	−	5.51072i	0.0713936	−	0.219727i
$630$	23.9119	+	61.8779i	0.952673	+	2.46528i
$631$	11.8909	+	8.63926i	0.473370	+	0.343923i	0.798753	−	0.601659i	$-0.205493\pi$
$631$	11.8909	+	8.63926i	0.473370	+	0.343923i	−0.325383	+	0.945582i	$0.605493\pi$
$632$	−1.74041	−	1.56707i	−0.0692297	−	0.0623347i
$633$	−28.3433	−	19.4685i	−1.12654	−	0.773802i
$634$	−24.6362	+	10.9687i	−0.978428	+	0.435624i
$635$	12.2925	+	5.47298i	0.487814	+	0.217189i
$636$	34.7389	+	29.6535i	1.37749	+	1.17584i
$637$	25.5077	+	14.6116i	1.01065	+	0.578934i
$638$	−17.2970	−	5.71647i	−0.684794	−	0.226317i
$639$	29.9611	+	8.01062i	1.18524	+	0.316895i
$640$	30.2287	−	27.2180i	1.19489	−	1.07589i
$641$	−42.8966	+	4.50862i	−1.69431	+	0.178080i	−0.901912	−	0.431919i	$-0.857837\pi$
$641$	−42.8966	+	4.50862i	−1.69431	+	0.178080i	−0.792403	+	0.609999i	$0.791170\pi$
$642$	−6.03968	+	11.1309i	−0.238367	+	0.439302i
$643$	−5.60959	+	1.82267i	−0.221221	+	0.0718789i	−0.417530	−	0.908663i	$-0.637104\pi$
$643$	−5.60959	+	1.82267i	−0.221221	+	0.0718789i	0.196310	+	0.980542i	$0.437104\pi$
$644$	−18.0207	+	20.0825i	−0.710117	+	0.791362i
$645$	10.0157	+	16.3342i	0.394369	+	0.643160i
$646$	9.95327	+	4.43148i	0.391606	+	0.174354i
$647$	−27.6470	−	30.7051i	−1.08692	−	1.20714i	−0.977009	−	0.213200i	$-0.931611\pi$
$647$	−27.6470	−	30.7051i	−1.08692	−	1.20714i	−0.109907	−	0.993942i	$-0.535055\pi$
$648$	6.20594	−	10.7760i	0.243792	−	0.423321i
$649$	29.6660	−	16.9293i	1.16449	−	0.664532i
$650$	90.9237			3.56632
$651$	1.33487	+	3.74609i	0.0523176	+	0.146821i
$652$	16.0357	−	11.6506i	0.628007	−	0.456274i
$653$	−30.6021	−	3.21641i	−1.19755	−	0.125868i	−0.515317	−	0.857000i	$-0.672326\pi$
$653$	−30.6021	−	3.21641i	−1.19755	−	0.125868i	−0.682236	+	0.731132i	$0.738992\pi$
$654$	5.25389	−	7.64890i	0.205443	−	0.299096i
$655$	66.4017	+	14.1141i	2.59453	+	0.551484i
$656$	0.360249	−	3.42754i	0.0140654	−	0.133823i
$657$	0.328506	−	2.08142i	0.0128162	−	0.0812039i
$658$	−3.46827	+	10.7362i	−0.135207	+	0.418541i
$659$			45.0385i			1.75445i	0.480079	+	0.877225i	$0.340608\pi$
$659$			45.0385i			1.75445i	−0.480079	+	0.877225i	$0.659392\pi$
$660$	51.5963	+	28.3332i	2.00838	+	1.10287i
$661$	−29.0545	−	16.7746i	−1.13009	−	0.652458i	−0.186133	−	0.982525i	$-0.559595\pi$
$661$	−29.0545	−	16.7746i	−1.13009	−	0.652458i	−0.943958	+	0.330067i	$0.892929\pi$
$662$	−13.7215	+	12.3549i	−0.533303	+	0.480188i
$663$	−6.25718	+	5.94107i	−0.243009	+	0.230732i
$664$	−3.32686	+	4.57903i	−0.129107	+	0.177701i
$665$	−13.5925	−	41.5931i	−0.527096	−	1.61291i
$666$	28.1366	+	14.3171i	1.09027	+	0.554776i
$667$	1.02897	−	9.79002i	0.0398420	−	0.379071i
$668$	3.13288	+	29.8074i	0.121215	+	1.15328i
$669$	2.15013	−	0.762056i	0.0831287	−	0.0294628i
$670$	−99.8309	+	57.6374i	−3.85680	+	2.22673i
$671$	4.91031	+	3.60542i	0.189560	+	0.139186i
$672$	28.0657	−	21.6235i	1.08266	−	0.834143i
$673$	−8.80006	+	27.0838i	−0.339217	+	1.04400i	0.625390	+	0.780313i	$0.284940\pi$
$673$	−8.80006	+	27.0838i	−0.339217	+	1.04400i	−0.964607	+	0.263691i	$0.915060\pi$
$674$	14.6547	−	32.9151i	0.564479	−	1.26784i
$675$	37.9089	+	35.9155i	1.45911	+	1.38239i
$676$	−11.9764	−	2.54567i	−0.460632	−	0.0979103i
$677$	−8.49702	+	9.43690i	−0.326567	+	0.362689i	−0.883963	−	0.467558i	$-0.845134\pi$
$677$	−8.49702	+	9.43690i	−0.326567	+	0.362689i	0.557396	+	0.830247i	$0.311801\pi$
$678$	−31.7117	−	51.7172i	−1.21788	−	1.98619i
$679$	7.58245	+	3.36052i	0.290988	+	0.128965i
$680$	6.04727	+	1.96488i	0.231902	+	0.0753496i
$681$	5.10675	+	38.7084i	0.195691	+	1.48331i
$682$	5.35435	+	3.12735i	0.205029	+	0.119752i
$683$	15.0330	+	8.67930i	0.575221	+	0.332104i	0.759232	−	0.650820i	$-0.225575\pi$
$683$	15.0330	+	8.67930i	0.575221	+	0.332104i	−0.184011	+	0.982924i	$0.558908\pi$
$684$	−18.3836	+	28.3420i	−0.702916	+	1.08368i
$685$	−4.38782	−	6.03932i	−0.167650	−	0.230750i
$686$	3.96854	−	39.7018i	0.151519	−	1.51582i
$687$	11.9669	+	0.938549i	0.456567	+	0.0358079i
$688$	4.39994	−	4.88663i	0.167746	−	0.186301i
$689$	38.3008	−	17.0526i	1.45914	−	0.649653i
$690$	−15.8599	+	53.5956i	−0.603776	+	2.04035i
$691$	9.42877	+	44.3589i	0.358687	+	1.68749i	0.674183	+	0.738564i	$0.264496\pi$
$691$	9.42877	+	44.3589i	0.358687	+	1.68749i	−0.315496	+	0.948927i	$0.602171\pi$
$692$	31.9970			1.21634
$693$	22.0378	+	14.3991i	0.837148	+	0.546976i
$694$	−42.6143			−1.61762
$695$	7.68032	+	36.1330i	0.291331	+	1.37060i
$696$	1.73132	−	5.85068i	0.0656256	−	0.221769i
$697$	1.61962	−	0.721103i	0.0613477	−	0.0273137i
$698$	−22.4163	+	24.8958i	−0.848470	+	0.942321i
$699$	1.02872	+	0.0806811i	0.0389098	+	0.00305164i
$700$	−28.6748	−	64.1116i	−1.08381	−	2.42319i
$701$	18.8198	+	25.9032i	0.710814	+	0.978351i	0.999779	+	0.0210117i	$0.00668872\pi$
$701$	18.8198	+	25.9032i	0.710814	+	0.978351i	−0.288965	+	0.957340i	$0.593311\pi$
$702$	−26.6588	−	38.7211i	−1.00617	−	1.46144i
$703$	−18.0343	−	10.4121i	−0.680176	−	0.392700i
$704$	8.50176	−	39.0313i	0.320422	−	1.47105i
$705$	1.73962	+	13.1861i	0.0655178	+	0.496616i
$706$	−62.6438	−	20.3542i	−2.35763	−	0.766041i
$707$	18.3619	+	25.1829i	0.690569	+	0.947102i
$708$	24.6287	+	40.1658i	0.925602	+	1.50952i
$709$	12.2688	−	13.6258i	0.460763	−	0.511729i	−0.467327	−	0.884084i	$-0.654783\pi$
$709$	12.2688	−	13.6258i	0.460763	−	0.511729i	0.928090	+	0.372355i	$0.121450\pi$
$710$	−84.5127	−	17.9637i	−3.17171	−	0.674167i
$711$	−4.74819	−	1.81970i	−0.178071	−	0.0682442i
$712$	−1.01513	+	2.28001i	−0.0380435	+	0.0854470i
$713$	−1.03542	+	3.18670i	−0.0387768	+	0.119343i
$714$	10.8286	+	4.46041i	0.405252	+	0.166927i
$715$	43.8726	−	31.5394i	1.64074	−	1.17951i
$716$	−30.0948	+	17.3753i	−1.12470	+	0.649344i
$717$	−3.36448	+	1.19245i	−0.125649	+	0.0445330i
$718$	0.229444	+	2.18301i	0.00856276	+	0.0814693i
$719$	−1.63891	+	15.5932i	−0.0611212	+	0.581529i	0.920507	+	0.390726i	$0.127776\pi$
$719$	−1.63891	+	15.5932i	−0.0611212	+	0.581529i	−0.981628	+	0.190803i	$0.938891\pi$
$720$	12.1711	−	23.9192i	0.453590	−	0.891416i
$721$	−2.69885	−	0.568871i	−0.100510	−	0.0211859i
$722$	−1.04441	+	1.43751i	−0.0388689	+	0.0534985i
$723$	22.6103	−	21.4680i	0.840886	−	0.798405i
$724$	−32.2833	+	29.0680i	−1.19980	+	1.08031i
$725$	22.1898	+	12.8113i	0.824108	+	0.475799i
$726$	40.7457	−	4.95905i	1.51222	−	0.184048i
$727$			36.6587i			1.35959i	0.733400	+	0.679797i	$0.237932\pi$
$727$			36.6587i			1.35959i	−0.733400	+	0.679797i	$0.762068\pi$
$728$	3.21727	+	15.0108i	0.119240	+	0.556336i
$729$	4.18029	−	26.6744i	0.154826	−	0.987942i
$730$	−0.613627	+	5.83827i	−0.0227113	+	0.216084i
$731$	3.30869	+	0.703284i	0.122376	+	0.0260119i
$732$	−4.75765	+	6.92645i	−0.175848	+	0.256009i
$733$	43.1145	+	4.53151i	1.59247	+	0.167375i	0.858865	−	0.512202i	$-0.171170\pi$
$733$	43.1145	+	4.53151i	1.59247	+	0.167375i	0.733604	+	0.679577i	$0.237837\pi$
$734$	53.5440	−	38.9020i	1.97634	−	1.43590i
$735$	−15.8632	−	44.2797i	−0.585123	−	1.63328i
$736$	29.8514			1.10034
$737$	−18.8161	+	41.6959i	−0.693098	+	1.53589i
$738$	2.50512	+	9.32897i	0.0922147	+	0.343404i
$739$	10.7414	+	11.9296i	0.395130	+	0.438837i	0.907579	−	0.419881i	$-0.137928\pi$
$739$	10.7414	+	11.9296i	0.395130	+	0.438837i	−0.512449	+	0.858718i	$0.671262\pi$
$740$	−45.7246	−	20.3579i	−1.68087	−	0.748371i
$741$	16.2096	+	26.4355i	0.595474	+	0.971134i
$742$	−42.3536	−	38.0054i	−1.55485	−	1.39522i
$743$	−43.4447	+	14.1160i	−1.59383	+	0.517867i	−0.965572	−	0.260138i	$-0.916232\pi$
$743$	−43.4447	+	14.1160i	−1.59383	+	0.517867i	−0.628259	+	0.778005i	$0.716232\pi$
$744$	−0.990479	+	1.82542i	−0.0363127	+	0.0669230i
$745$	52.2033	−	5.48679i	1.91258	−	0.201021i
$746$	−14.3023	+	12.8779i	−0.523646	+	0.471493i
$747$	−3.17424	+	11.8722i	−0.116139	+	0.434382i
$748$	9.89932	−	3.16152i	0.361955	−	0.115597i
$749$	4.47637	−	7.78377i	0.163563	−	0.284413i
$750$	−55.6003	−	47.4610i	−2.03024	−	1.73303i
$751$	−6.57439	−	2.92711i	−0.239903	−	0.106812i	0.283264	−	0.959042i	$-0.408583\pi$
$751$	−6.57439	−	2.92711i	−0.239903	−	0.106812i	−0.523167	+	0.852230i	$0.675249\pi$
$752$	4.16987	−	1.85655i	0.152059	−	0.0677012i
$753$	−36.5678	−	25.1177i	−1.33260	−	0.915341i
$754$	−17.1416	−	15.4343i	−0.624259	−	0.562086i
$755$	−72.8977	−	52.9633i	−2.65302	−	1.92753i
$756$	−18.8954	+	31.0090i	−0.687219	+	1.12779i
$757$	−5.09075	+	15.6677i	−0.185026	+	0.569452i	−0.999949	−	0.0101175i	$-0.996779\pi$
$757$	−5.09075	+	15.6677i	−0.185026	+	0.569452i	0.814923	+	0.579570i	$0.196779\pi$
$758$	43.2098	−	24.9472i	1.56945	−	0.906123i
$759$	7.30432	+	20.9429i	0.265130	+	0.760181i
$760$	11.4259	−	19.7902i	0.414460	−	0.717865i
$761$	21.3722	−	4.54280i	0.774741	−	0.164676i	0.196458	−	0.980512i	$-0.437056\pi$
$761$	21.3722	−	4.54280i	0.774741	−	0.164676i	0.578284	+	0.815836i	$0.303723\pi$
$762$	3.02484	+	12.5843i	0.109578	+	0.455882i
$763$	−3.85828	+	5.32946i	−0.139679	+	0.192939i
$764$	5.35322	−	1.73937i	0.193673	−	0.0629280i
$765$	13.7865	−	0.730025i	0.498452	−	0.0263941i
$766$	26.7335	+	60.0445i	0.965921	+	2.16949i
$767$	43.0117	−	4.52071i	1.55306	−	0.163233i
$768$	−2.55373	−	0.472589i	−0.0921497	−	0.0170531i
$769$		−	41.3140i		−	1.48982i	−0.667164	−	0.744911i	$-0.732492\pi$
$769$		−	41.3140i		−	1.48982i	0.667164	−	0.744911i	$-0.267508\pi$
$770$	−63.3907	−	36.8809i	−2.28444	−	1.32909i
$771$	−39.3813	−	16.2998i	−1.41828	−	0.587021i
$772$	50.5209	−	10.7385i	1.81829	−	0.386488i
$773$	−4.96870	−	47.2740i	−0.178712	−	1.70033i	−0.605394	−	0.795926i	$-0.706984\pi$
$773$	−4.96870	−	47.2740i	−0.178712	−	1.70033i	0.426682	−	0.904402i	$-0.359682\pi$
$774$	−6.59532	+	17.2093i	−0.237064	+	0.618576i
$775$	−6.48128	−	5.83577i	−0.232815	−	0.209627i
$776$	1.33844	+	4.11929i	0.0480471	+	0.147874i
$777$	−19.6924	−	10.6420i	−0.706462	−	0.381779i
$778$	−6.88338	+	5.00107i	−0.246781	+	0.179297i
$779$	−1.32474	−	6.23239i	−0.0474636	−	0.223299i
$780$	45.3886	+	59.1184i	1.62517	+	2.11678i
$781$	−31.3922	+	13.7879i	−1.12330	+	0.493371i
$782$	4.93371	+	8.54544i	0.176429	+	0.305584i
$783$	−1.05016	−	13.2061i	−0.0375298	−	0.471947i
$784$	−13.0268	+	9.53227i	−0.465244	+	0.340438i
$785$	40.8113	−	56.1719i	1.45662	−	2.00486i
$786$	28.1269	+	58.9282i	1.00325	+	2.10190i
$787$	−2.15942	+	10.1593i	−0.0769749	+	0.362138i	−0.999730	−	0.0232491i	$-0.992599\pi$
$787$	−2.15942	+	10.1593i	−0.0769749	+	0.362138i	0.922755	+	0.385388i	$0.125932\pi$
$788$	8.19512	+	18.4065i	0.291939	+	0.655706i
$789$	−18.3631	+	17.4354i	−0.653743	+	0.620716i
$790$	13.4729	+	4.37759i	0.479343	+	0.155748i
$791$	21.5701	+	37.2145i	0.766945	+	1.32320i
$792$	2.08967	+	13.5880i	0.0742531	+	0.482827i
$793$	3.85669	+	6.67998i	0.136955	+	0.237213i
$794$	19.1818	+	21.3035i	0.680736	+	0.756034i
$795$	−64.3255	−	19.0351i	−2.28139	−	0.675105i
$796$	−3.96415	−	0.416649i	−0.140506	−	0.0147677i
$797$	−0.431756	−	1.32881i	−0.0152936	−	0.0470688i	0.943118	−	0.332457i	$-0.107878\pi$
$797$	−0.431756	−	1.32881i	−0.0152936	−	0.0470688i	−0.958412	+	0.285388i	$0.907878\pi$
$798$	23.7713	−	34.7337i	0.841495	−	1.22956i
$799$	1.89962	+	1.38015i	0.0672036	+	0.0488263i
$800$	−31.6032	+	70.9819i	−1.11734	+	2.50959i
$801$	−0.280668	+	5.41168i	−0.00991693	+	0.191212i
$802$	24.1426	−	41.8162i	0.852505	−	1.47658i
$803$	1.15463	+	2.02331i	0.0407459	+	0.0714010i
$804$	−58.3036	−	24.1316i	−2.05621	−	0.851056i
$805$	12.1823	−	37.7111i	0.429371	−	1.32914i
$806$	4.61488	+	6.35184i	0.162552	+	0.223734i
$807$	13.2005	−	24.3280i	0.464680	−	0.856388i
$808$	−3.38398	+	15.9204i	−0.119048	+	0.560077i
$809$	−4.48108	+	21.0818i	−0.157546	+	0.741197i	0.826450	+	0.563010i	$0.190357\pi$
$809$	−4.48108	+	21.0818i	−0.157546	+	0.741197i	−0.983997	+	0.178187i	$0.942977\pi$
$810$	−7.78136	+	74.8160i	−0.273409	+	2.62877i
$811$	8.75010	+	12.0435i	0.307258	+	0.422904i	0.934524	−	0.355901i	$-0.115826\pi$
$811$	8.75010	+	12.0435i	0.307258	+	0.422904i	−0.627266	+	0.778805i	$0.715826\pi$
$812$	−5.47699	+	16.9543i	−0.192205	+	0.594980i
$813$	3.27549	−	7.91382i	0.114877	−	0.277550i
$814$	−34.1751	+	7.08467i	−1.19784	+	0.248317i
$815$	−14.5560	+	25.2118i	−0.509875	+	0.883130i
$816$	−1.58278	−	4.46578i	−0.0554084	−	0.156333i
$817$	4.94460	−	11.1058i	0.172990	−	0.388541i
$818$	25.5006	+	18.5273i	0.891608	+	0.647791i
$819$	18.2166	+	27.9140i	0.636540	+	0.975395i
$820$	−4.73243	−	14.5649i	−0.165264	−	0.508629i
$821$	11.9587	+	1.25691i	0.417363	+	0.0438666i	0.310883	−	0.950448i	$-0.399375\pi$
$821$	11.9587	+	1.25691i	0.417363	+	0.0438666i	0.106480	+	0.994315i	$0.466042\pi$
$822$	2.03746	−	6.88522i	0.0710647	−	0.240150i
$823$	28.2784	+	31.4064i	0.985724	+	1.09476i	0.995496	+	0.0948054i	$0.0302229\pi$
$823$	28.2784	+	31.4064i	0.985724	+	1.09476i	−0.00977156	+	0.999952i	$0.503110\pi$
$824$	−0.720197	−	1.24742i	−0.0250892	−	0.0434558i
$825$	−57.5320	−	4.80343i	−2.00301	−	0.167234i
$826$	−29.4370	−	50.7870i	−1.02424	−	1.76711i
$827$	−6.05566	−	1.96760i	−0.210576	−	0.0684203i	0.201830	−	0.979421i	$-0.435311\pi$
$827$	−6.05566	−	1.96760i	−0.210576	−	0.0684203i	−0.412405	+	0.911000i	$0.635311\pi$
$828$	−28.5572	+	10.9799i	−0.992430	+	0.381577i
$829$	−15.8106	−	35.5112i	−0.549125	−	1.23335i	−0.948561	−	0.316593i	$-0.897461\pi$
$829$	−15.8106	−	35.5112i	−0.549125	−	1.23335i	0.399437	−	0.916761i	$-0.369206\pi$
$830$	7.11821	−	33.4886i	0.247077	−	1.16240i
$831$	47.6115	−	22.7254i	1.65162	−	0.788335i
$832$	29.7300	−	40.9198i	1.03070	−	1.41864i
$833$	−7.59724	−	3.35165i	−0.263229	−	0.116128i
$834$	−23.0687	+	27.0248i	−0.798802	+	0.935792i
$835$	−22.0101	−	38.1226i	−0.761690	−	1.31929i
$836$	−3.71701	−	37.1620i	−0.128555	−	1.28528i
$837$	−0.584940	+	4.47119i	−0.0202185	+	0.154547i
$838$	−6.89983	−	32.4612i	−0.238351	−	1.12135i
$839$	30.2866	−	22.0045i	1.04561	−	0.759679i	0.0742357	−	0.997241i	$-0.476348\pi$
$839$	30.2866	−	22.0045i	1.04561	−	0.759679i	0.971372	+	0.237562i	$0.0763483\pi$
$840$	11.6781	−	21.6098i	0.402934	−	0.745608i
$841$	6.95284	+	21.3986i	0.239753	+	0.737884i
$842$	−9.77874	−	8.80482i	−0.336998	−	0.303434i
$843$	−0.0425160	−	1.60695i	−0.00146433	−	0.0553464i
$844$	5.48118	+	52.1500i	0.188670	+	1.79508i
$845$	17.5901	−	3.73890i	0.605119	−	0.128622i
$846$	−9.04121	+	9.05104i	−0.310843	+	0.311181i
$847$	−28.9683	+	2.79998i	−0.995361	+	0.0962086i
$848$			23.0219i			0.790576i
$849$	−6.11261	+	33.0307i	−0.209784	+	1.13361i
$850$	−25.5430	+	2.68467i	−0.876117	+	0.0920836i
$851$	−7.67096	−	17.2293i	−0.262957	−	0.590611i
$852$	−20.3726	−	42.6822i	−0.697953	−	1.46227i
$853$	25.5912	−	8.31510i	0.876228	−	0.284704i	0.163838	−	0.986487i	$-0.447613\pi$
$853$	25.5912	−	8.31510i	0.876228	−	0.284704i	0.712390	+	0.701784i	$0.247613\pi$
$854$	6.13936	−	8.48034i	0.210085	−	0.290191i
$855$	7.73516	−	49.0100i	0.264537	−	1.67611i
$856$	4.58672	−	0.974938i	0.156771	−	0.0333227i
$857$	−6.61329	+	11.4546i	−0.225906	+	0.391280i	−0.956591	−	0.291434i	$-0.905867\pi$
$857$	−6.61329	+	11.4546i	−0.225906	+	0.391280i	0.730685	+	0.682715i	$0.239201\pi$
$858$	49.7614	+	14.9979i	1.69883	+	0.512020i
$859$	12.5963	−	7.27248i	0.429780	−	0.248134i	−0.269473	−	0.963008i	$-0.586849\pi$
$859$	12.5963	−	7.27248i	0.429780	−	0.248134i	0.699253	+	0.714874i	$0.253516\pi$
$860$	9.02926	−	27.7892i	0.307895	−	0.947604i
$861$	−1.61195	−	6.65649i	−0.0549351	−	0.226853i
$862$	−20.4220	−	14.8374i	−0.695575	−	0.505365i
$863$	41.3544	+	37.2357i	1.40772	+	1.26752i	0.918537	+	0.395336i	$0.129372\pi$
$863$	41.3544	+	37.2357i	1.40772	+	1.26752i	0.489184	+	0.872181i	$0.337295\pi$
$864$	39.4947	−	7.35318i	1.34364	−	0.250160i
$865$	−42.9320	+	19.1146i	−1.45973	+	0.649915i
$866$	−32.7424	−	14.5778i	−1.11263	−	0.495375i
$867$	−17.5344	+	20.5415i	−0.595501	+	0.697625i
$868$	3.02337	−	5.25721i	0.102620	−	0.178441i
$869$	5.35514	−	1.71026i	0.181661	−	0.0580166i
$870$	4.82728	+	36.5901i	0.163660	+	1.24052i
$871$	−43.0441	+	38.7570i	−1.45849	+	1.31323i
$872$	−3.41719	+	0.359161i	−0.115721	+	0.0121627i
$873$	5.92226	+	7.30526i	0.200438	+	0.247246i
$874$	33.7269	−	10.9585i	1.14083	−	0.370678i
$875$	38.5775	+	34.6169i	1.30416	+	1.17027i
$876$	−2.73943	+	1.67975i	−0.0925568	+	0.0567534i
$877$	36.7436	+	16.3593i	1.24074	+	0.552415i	0.918942	−	0.394392i	$-0.129045\pi$
$877$	36.7436	+	16.3593i	1.24074	+	0.552415i	0.321802	+	0.946807i	$0.395712\pi$
$878$	57.8276	+	64.2241i	1.95159	+	2.16746i
$879$	−14.5008	+	11.1331i	−0.489099	+	0.375510i
$880$	6.02274	+	29.0525i	0.203026	+	0.979360i
$881$	11.0387			0.371902			0.185951	−	0.982559i	$-0.440463\pi$
$881$	11.0387			0.371902			0.185951	+	0.982559i	$0.440463\pi$
$882$	24.4909	−	38.0398i	0.824652	−	1.28087i
$883$	23.1713	−	16.8350i	0.779778	−	0.566542i	−0.125135	−	0.992140i	$-0.539936\pi$
$883$	23.1713	−	16.8350i	0.779778	−	0.566542i	0.904912	+	0.425598i	$0.139936\pi$
$884$	13.0860	+	1.37540i	0.440130	+	0.0462595i
$885$	−57.0400	−	39.1797i	−1.91738	−	1.31701i
$886$	−28.3426	−	6.02441i	−0.952189	−	0.202394i
$887$	5.04413	−	47.9917i	0.169365	−	1.61140i	−0.498343	−	0.866980i	$-0.666058\pi$
$887$	5.04413	−	47.9917i	0.169365	−	1.61140i	0.667708	−	0.744423i	$-0.267275\pi$
$888$	−2.73198	−	11.3659i	−0.0916792	−	0.381415i
$889$	−1.92321	−	8.97306i	−0.0645023	−	0.300947i
$890$		−	15.0967i		−	0.506044i
$891$	14.8227	+	25.9092i	0.496581	+	0.867991i
$892$	−3.01269	−	1.73938i	−0.100872	−	0.0582386i
$893$	6.27116	−	5.64658i	0.209856	−	0.188956i
$894$	34.7645	+	36.6142i	1.16270	+	1.22456i
$895$	30.0000	−	41.2915i	1.00279	−	1.38022i
$896$	−27.1449	−	5.72169i	−0.906847	−	0.191148i
$897$	−2.19586	+	27.9983i	−0.0733178	+	0.934835i
$898$	−1.43132	+	13.6181i	−0.0477636	+	0.454441i
$899$	0.231272	+	2.20040i	0.00771334	+	0.0733875i
$900$	4.12463	−	79.5287i	0.137488	−	2.65096i
$901$	−10.2562	+	5.92145i	−0.341685	+	0.197272i
$902$	−8.60777	−	6.32030i	−0.286607	−	0.210443i
$903$	4.97688	−	12.0825i	0.165620	−	0.402080i
$904$	−6.94151	+	21.3638i	−0.230871	+	0.710549i
$905$	25.9514	−	58.2877i	0.862652	−	1.93755i
$906$	−2.29229	−	86.6404i	−0.0761563	−	2.87843i
$907$	38.0360	+	8.08480i	1.26296	+	0.268451i	0.790261	−	0.612771i	$-0.209945\pi$
$907$	38.0360	+	8.08480i	1.26296	+	0.268451i	0.472703	+	0.881222i	$0.343278\pi$
$908$	39.8407	−	44.2476i	1.32216	−	1.46841i
$909$	5.54723	+	34.9012i	0.183990	+	1.15760i
$910$	−54.7095	−	75.0331i	−1.81360	−	2.48732i
$911$	−33.3526	−	10.8369i	−1.10502	−	0.359043i	−0.300987	−	0.953628i	$-0.597316\pi$
$911$	−33.3526	−	10.8369i	−1.10502	−	0.359043i	−0.804032	+	0.594585i	$0.797316\pi$
$912$	−16.8815	+	2.22716i	−0.559003	+	0.0737485i
$913$	−5.46353	−	12.4393i	−0.180817	−	0.411681i
$914$	−77.6268	−	44.8179i	−2.56767	−	1.48244i
$915$	2.24582	−	12.1357i	0.0742444	−	0.401194i
$916$	−10.7596	−	14.8094i	−0.355508	−	0.489315i
$917$	−18.9026	−	42.2628i	−0.624220	−	1.39564i
$918$	8.63249	+	10.0907i	0.284914	+	0.333042i
$919$	−37.5519	+	41.7056i	−1.23872	+	1.37574i	−0.338119	+	0.941104i	$0.609790\pi$
$919$	−37.5519	+	41.7056i	−1.23872	+	1.37574i	−0.900605	+	0.434638i	$0.856876\pi$
$920$	18.9068	−	8.41784i	0.623338	−	0.277528i
$921$	5.23177	+	1.54818i	0.172393	+	0.0510142i
$922$	4.63658	+	21.8134i	0.152698	+	0.718386i
$923$	−43.4134			−1.42897
$924$	−5.11811	−	39.8174i	−0.168374	−	1.30989i
$925$	49.0896			1.61406
$926$	7.12580	+	33.5243i	0.234168	+	1.10168i
$927$	−2.43155	−	1.96685i	−0.0798626	−	0.0645997i
$928$	18.0073	−	8.01735i	0.591118	−	0.263183i
$929$	−36.9541	+	41.0417i	−1.21243	+	1.34653i	−0.291609	+	0.956538i	$0.594191\pi$
$929$	−36.9541	+	41.0417i	−1.21243	+	1.34653i	−0.920816	+	0.389997i	$0.872476\pi$
$930$	0.982241	−	12.5240i	0.0322090	−	0.410679i
$931$	−17.4590	+	24.2027i	−0.572197	+	0.793210i
$932$	−0.924937	−	1.27307i	−0.0302973	−	0.0417007i
$933$	−8.37496	−	1.54986i	−0.274184	−	0.0507400i
$934$	−27.7726	−	16.0345i	−0.908747	−	0.524665i
$935$	−11.3938	+	10.1557i	−0.372616	+	0.332127i
$936$	−4.49617	+	16.8165i	−0.146962	+	0.549663i
$937$	−10.8775	−	3.53430i	−0.355351	−	0.115461i	0.125901	−	0.992043i	$-0.459818\pi$
$937$	−10.8775	−	3.53430i	−0.355351	−	0.115461i	−0.481252	+	0.876582i	$0.659818\pi$
$938$	71.8744	+	31.8545i	2.34678	+	1.04009i
$939$	5.14569	−	3.15520i	0.167923	−	0.102966i
$940$	13.5718	−	15.0730i	0.442663	−	0.491627i
$941$	8.20489	+	1.74400i	0.267472	+	0.0568529i	0.339695	−	0.940536i	$-0.389676\pi$
$941$	8.20489	+	1.74400i	0.267472	+	0.0568529i	−0.0722233	+	0.997388i	$0.523009\pi$
$942$	66.7614	−	1.76634i	2.17520	−	0.0575505i
$943$	2.34710	−	5.27167i	0.0764321	−	0.171669i
$944$	−7.33868	+	22.5861i	−0.238854	+	0.735116i
$945$	6.82855	−	52.8942i	0.222133	−	1.72065i
$946$	−6.19866	−	19.4091i	−0.201536	−	0.631046i
$947$	10.8374	−	6.25695i	0.352167	−	0.203323i	−0.313473	−	0.949597i	$-0.601492\pi$
$947$	10.8374	−	6.25695i	0.352167	−	0.203323i	0.665639	+	0.746274i	$0.268159\pi$
$948$	2.59047	+	7.30895i	0.0841345	+	0.237384i
$949$	0.308326	+	2.93352i	0.0100087	+	0.0952262i
$950$	−9.64845	+	91.7989i	−0.313037	+	2.97835i
$951$	21.6148	+	1.69522i	0.700907	+	0.0549712i
$952$	−1.34704	−	4.12194i	−0.0436578	−	0.133593i
$953$	−29.2799	+	40.3003i	−0.948467	+	1.30545i	0.00373736	+	0.999993i	$0.498810\pi$
$953$	−29.2799	+	40.3003i	−0.948467	+	1.30545i	−0.952205	+	0.305460i	$0.901190\pi$
$954$	−23.1563	−	60.2266i	−0.749714	−	1.94991i
$955$	−6.14361	+	5.53173i	−0.198803	+	0.179003i
$956$	4.71421	+	2.72175i	0.152468	+	0.0880276i
$957$	10.0310	+	10.6717i	0.324255	+	0.344966i
$958$			60.4058i			1.95162i
$959$	−1.56502	+	4.84460i	−0.0505371	+	0.156440i
$960$	−78.6887	+	18.9141i	−2.53967	+	0.610449i
$961$	−3.16166	+	30.0812i	−0.101989	+	0.970361i
$962$	−43.2264	−	9.18804i	−1.39367	−	0.296234i
$963$	8.53582	−	5.54982i	0.275063	−	0.178840i
$964$	−47.2862	−	4.96998i	−1.52299	−	0.160072i
$965$	−61.3714	+	44.5889i	−1.97561	+	1.43537i
$966$	35.9073	−	12.7950i	1.15530	−	0.411674i
$967$	33.7112			1.08408			0.542040	−	0.840353i	$-0.317652\pi$
$967$	33.7112			1.08408			0.542040	+	0.840353i	$0.317652\pi$
$968$	−11.1919	−	10.2830i	−0.359722	−	0.330508i
$969$	−5.33427	−	6.94786i	−0.171362	−	0.223197i
$970$	−17.5308	−	19.4700i	−0.562881	−	0.625143i
$971$	9.08433	+	4.04461i	0.291530	+	0.129798i	0.547291	−	0.836943i	$-0.315659\pi$
$971$	9.08433	+	4.04461i	0.291530	+	0.129798i	−0.255761	+	0.966740i	$0.582326\pi$
$972$	−35.0778	+	21.5612i	−1.12512	+	0.691577i
$973$	16.8257	−	18.7507i	0.539407	−	0.601121i
$974$	−12.8018	+	4.15956i	−0.410196	+	0.133281i
$975$	−64.2508	−	34.8628i	−2.05767	−	1.11650i
$976$	−4.21233	+	0.442734i	−0.134833	+	0.0141716i
$977$	−23.5233	+	21.1805i	−0.752577	+	0.677623i	−0.953300	−	0.302025i	$-0.902338\pi$
$977$	−23.5233	+	21.1805i	−0.752577	+	0.677623i	0.200723	+	0.979648i	$0.435671\pi$
$978$	−27.7614	+	3.66253i	−0.887712	+	0.117115i
$979$	−3.49693	−	4.86438i	−0.111762	−	0.155466i
$980$	−35.6530	+	62.2398i	−1.13889	+	1.98818i
$981$	−6.64544	+	3.39057i	−0.212173	+	0.108252i
$982$	52.0384	+	23.1690i	1.66061	+	0.739353i
$983$	21.4526	−	9.55131i	0.684231	−	0.304639i	−0.0350228	−	0.999387i	$-0.511150\pi$
$983$	21.4526	−	9.55131i	0.684231	−	0.304639i	0.719254	+	0.694747i	$0.244484\pi$
$984$	2.02507	−	2.94821i	0.0645568	−	0.0939854i
$985$	−21.9916	−	19.8013i	−0.700711	−	0.630923i
$986$	5.27126	+	3.82980i	0.167871	+	0.121966i
$987$	6.56740	−	6.25685i	0.209043	−	0.199158i
$988$	14.6131	−	44.9744i	0.464904	−	1.43083i
$989$	9.53491	−	5.50498i	0.303193	−	0.175048i
$990$	−44.9779	−	69.9450i	−1.42949	−	2.22300i
$991$	2.58022	−	4.46908i	0.0819635	−	0.141965i	−0.822130	−	0.569300i	$-0.807214\pi$
$991$	2.58022	−	4.46908i	0.0819635	−	0.141965i	0.904093	+	0.427335i	$0.140548\pi$
$992$	−6.56277	+	1.39496i	−0.208368	+	0.0442900i
$993$	14.4335	−	3.46932i	0.458033	−	0.110095i
$994$	24.0583	+	53.7900i	0.763084	+	1.70611i
$995$	5.56781	−	1.80909i	0.176511	−	0.0573520i
$996$	16.9130	−	8.07273i	0.535909	−	0.255794i
$997$	−11.4986	−	25.8264i	−0.364165	−	0.817929i	−0.998975	−	0.0452604i	$-0.985588\pi$
$997$	−11.4986	−	25.8264i	−0.364165	−	0.817929i	0.634810	−	0.772668i	$-0.281078\pi$
$998$	−33.9382	+	3.56705i	−1.07429	+	0.112913i
$999$	−14.3930	−	20.9055i	−0.455375	−	0.661421i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	231.2.bc.a.185.24	yes	224
3.2	odd	2	inner	231.2.bc.a.185.5	yes	224
7.5	odd	6	inner	231.2.bc.a.152.24	yes	224
11.5	even	5	inner	231.2.bc.a.38.5	yes	224
21.5	even	6	inner	231.2.bc.a.152.5	yes	224
33.5	odd	10	inner	231.2.bc.a.38.24	yes	224
77.5	odd	30	inner	231.2.bc.a.5.5	✓	224
231.5	even	30	inner	231.2.bc.a.5.24	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
231.2.bc.a.5.5	✓	224	77.5	odd	30	inner
231.2.bc.a.5.24	yes	224	231.5	even	30	inner
231.2.bc.a.38.5	yes	224	11.5	even	5	inner
231.2.bc.a.38.24	yes	224	33.5	odd	10	inner
231.2.bc.a.152.5	yes	224	21.5	even	6	inner
231.2.bc.a.152.24	yes	224	7.5	odd	6	inner
231.2.bc.a.185.5	yes	224	3.2	odd	2	inner
231.2.bc.a.185.24	yes	224	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 231 = 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	231.bc (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.447920 + 2.10730i) q^{2} +(0.491478 - 1.66086i) q^{3} +(-2.41299 + 1.07433i) q^{4} +(2.59584 - 2.88297i) q^{5} +(3.72007 + 0.291760i) q^{6} +(-2.63172 - 0.272090i) q^{7} +(-0.812141 - 1.11782i) q^{8} +(-2.51690 - 1.63255i) q^{9} +O(q^{10})\)	\(q+(0.447920 + 2.10730i) q^{2} +(0.491478 - 1.66086i) q^{3} +(-2.41299 + 1.07433i) q^{4} +(2.59584 - 2.88297i) q^{5} +(3.72007 + 0.291760i) q^{6} +(-2.63172 - 0.272090i) q^{7} +(-0.812141 - 1.11782i) q^{8} +(-2.51690 - 1.63255i) q^{9} +(7.23801 + 4.17887i) q^{10} +(3.30016 - 0.330087i) q^{11} +(0.598381 + 4.53564i) q^{12} +(3.99393 + 1.29771i) q^{13} +(-0.605428 - 5.66770i) q^{14} +(-3.51241 - 5.72823i) q^{15} +(-1.54301 + 1.71369i) q^{16} +(-1.16032 - 0.246634i) q^{17} +(2.31290 - 6.03511i) q^{18} +(-1.73402 + 3.89467i) q^{19} +(-3.16646 + 9.74536i) q^{20} +(-1.74534 + 4.23719i) q^{21} +(2.17380 + 6.80657i) q^{22} +(-3.34379 + 1.93054i) q^{23} +(-2.25568 + 0.799468i) q^{24} +(-1.05050 - 9.99483i) q^{25} +(-0.945694 + 8.99767i) q^{26} +(-3.94844 + 3.37785i) q^{27} +(6.64263 - 2.17079i) q^{28} +(-1.49858 + 2.06262i) q^{29} +(10.4978 - 9.96748i) q^{30} +(0.644911 - 0.580680i) q^{31} +(-6.69556 - 3.86568i) q^{32} +(1.07373 - 5.64332i) q^{33} -2.55562i q^{34} +(-7.61595 + 6.88088i) q^{35} +(7.82714 + 1.23534i) q^{36} +(-0.510579 + 4.85783i) q^{37} +(-8.98393 - 1.90959i) q^{38} +(4.11824 - 5.99555i) q^{39} +(-5.33081 - 0.560291i) q^{40} +(-1.20912 + 0.878474i) q^{41} +(-9.71080 - 1.78002i) q^{42} -2.85153 q^{43} +(-7.60862 + 4.34196i) q^{44} +(-11.2401 + 3.01830i) q^{45} +(-5.56597 - 6.18163i) q^{46} +(-1.80828 - 0.805096i) q^{47} +(2.08783 + 3.40496i) q^{48} +(6.85193 + 1.43213i) q^{49} +(20.5916 - 6.69061i) q^{50} +(-0.979897 + 1.80591i) q^{51} +(-11.0315 + 1.15945i) q^{52} +(7.41920 - 6.68028i) q^{53} +(-8.88672 - 6.80753i) q^{54} +(7.61504 - 10.3711i) q^{55} +(1.83318 + 3.16276i) q^{56} +(5.61625 + 4.79410i) q^{57} +(-5.01780 - 2.23407i) q^{58} +(9.40823 - 4.18881i) q^{59} +(14.6294 + 10.0487i) q^{60} +(1.36497 + 1.22903i) q^{61} +(1.51254 + 1.09892i) q^{62} +(6.17958 + 4.98124i) q^{63} +(3.72190 - 11.4548i) q^{64} +(14.1088 - 8.14574i) q^{65} +(12.3731 - 0.265093i) q^{66} +(-6.89629 + 11.9447i) q^{67} +(3.06481 - 0.651445i) q^{68} +(1.56295 + 6.50237i) q^{69} +(-17.9114 - 12.9670i) q^{70} +(-9.83186 + 3.19456i) q^{71} +(0.219184 + 4.13929i) q^{72} +(0.285690 + 0.641669i) q^{73} +(-10.4656 + 1.09998i) q^{74} +(-17.1163 - 3.16751i) q^{75} -11.2607i q^{76} +(-8.77492 - 0.0292415i) q^{77} +(14.4791 + 5.99282i) q^{78} +(1.65794 - 0.352406i) q^{79} +(0.935102 + 8.89690i) q^{80} +(3.66955 + 8.21793i) q^{81} +(-2.39280 - 2.15448i) q^{82} +(-1.26586 - 3.89592i) q^{83} +(-0.340672 - 12.0994i) q^{84} +(-3.72304 + 2.70495i) q^{85} +(-1.27726 - 6.00903i) q^{86} +(2.68920 + 3.50266i) q^{87} +(-3.04917 - 3.42089i) q^{88} +(-0.903159 - 1.56432i) q^{89} +(-11.3951 - 22.3342i) q^{90} +(-10.1578 - 4.50191i) q^{91} +(5.99448 - 8.25069i) q^{92} +(-0.647468 - 1.35650i) q^{93} +(0.886615 - 4.17120i) q^{94} +(6.72698 + 15.1090i) q^{95} +(-9.71108 + 9.22048i) q^{96} +(-2.98133 - 0.968691i) q^{97} +(0.0511943 + 15.0806i) q^{98} +(-8.84505 - 4.55688i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 9 q^{3} - 30 q^{4} - 16 q^{7} + 3 q^{9}+O(q^{10}) \) 224 * q - 9 * q^3 - 30 * q^4 - 16 * q^7 + 3 * q^9	\( 224 q - 9 q^{3} - 30 q^{4} - 16 q^{7} + 3 q^{9} - 60 q^{10} - 12 q^{12} - 36 q^{15} + 18 q^{16} + 13 q^{18} - 18 q^{19} - 6 q^{21} + 20 q^{22} - 51 q^{24} - 18 q^{25} - 26 q^{28} - 15 q^{30} - 36 q^{31} + 60 q^{33} - 32 q^{36} - 10 q^{37} + 9 q^{39} - 114 q^{42} - 96 q^{43} + 24 q^{45} - 54 q^{46} - 56 q^{49} - 29 q^{51} - 30 q^{52} - 96 q^{54} + 68 q^{57} - 64 q^{58} + 125 q^{60} - 18 q^{61} - 26 q^{63} + 56 q^{64} + 135 q^{66} + 48 q^{67} - 44 q^{70} + 19 q^{72} + 30 q^{73} + 63 q^{75} + 28 q^{78} + 30 q^{79} + 31 q^{81} + 54 q^{82} + 99 q^{84} - 248 q^{85} + 102 q^{87} + 82 q^{88} - 144 q^{91} + 34 q^{93} + 162 q^{94} - 87 q^{96} - 100 q^{99}+O(q^{100}) \) 224 * q - 9 * q^3 - 30 * q^4 - 16 * q^7 + 3 * q^9 - 60 * q^10 - 12 * q^12 - 36 * q^15 + 18 * q^16 + 13 * q^18 - 18 * q^19 - 6 * q^21 + 20 * q^22 - 51 * q^24 - 18 * q^25 - 26 * q^28 - 15 * q^30 - 36 * q^31 + 60 * q^33 - 32 * q^36 - 10 * q^37 + 9 * q^39 - 114 * q^42 - 96 * q^43 + 24 * q^45 - 54 * q^46 - 56 * q^49 - 29 * q^51 - 30 * q^52 - 96 * q^54 + 68 * q^57 - 64 * q^58 + 125 * q^60 - 18 * q^61 - 26 * q^63 + 56 * q^64 + 135 * q^66 + 48 * q^67 - 44 * q^70 + 19 * q^72 + 30 * q^73 + 63 * q^75 + 28 * q^78 + 30 * q^79 + 31 * q^81 + 54 * q^82 + 99 * q^84 - 248 * q^85 + 102 * q^87 + 82 * q^88 - 144 * q^91 + 34 * q^93 + 162 * q^94 - 87 * q^96 - 100 * q^99

Introduction

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