LMFDB - Embedded newform 588.2.x.b.55.11

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			55.11
Character	$\chi$	$=$	588.55
Dual form			588.2.x.b.139.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.446111 + 1.34201i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.60197 - 1.19737i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(-0.984208 + 1.01555i) q^{6} +(-2.50508 + 0.851222i) q^{7} +(2.32154 - 1.61569i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.446111 + 1.34201i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.60197 - 1.19737i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(-0.984208 + 1.01555i) q^{6} +(-2.50508 + 0.851222i) q^{7} +(2.32154 - 1.61569i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.0473388 - 0.0458779i) q^{10} +(-4.22358 - 3.36820i) q^{11} +(-0.923805 - 1.77386i) q^{12} +(-4.09819 - 3.26819i) q^{13} +(-0.0248016 - 3.74158i) q^{14} +(-0.0364443 + 0.0290634i) q^{15} +(1.13261 + 3.83630i) q^{16} +(-1.81779 - 0.414899i) q^{17} +(-1.32737 + 0.487944i) q^{18} +3.64310 q^{19} +(0.0826869 - 0.0430623i) q^{20} +(-2.62633 - 0.319989i) q^{21} +(6.40434 - 4.16549i) q^{22} +(-7.77277 + 1.77408i) q^{23} +(2.79266 - 0.448414i) q^{24} +(3.11609 + 3.90746i) q^{25} +(6.21419 - 4.04182i) q^{26} +(0.222521 + 0.974928i) q^{27} +(5.03229 + 1.63588i) q^{28} +(0.460848 - 2.01911i) q^{29} +(-0.0227451 - 0.0618741i) q^{30} -6.23384 q^{31} +(-5.65361 - 0.191445i) q^{32} +(-2.34391 - 4.86719i) q^{33} +(1.36773 - 2.25440i) q^{34} +(0.0149160 - 0.122424i) q^{35} +(-0.0626700 - 1.99902i) q^{36} +(1.79149 - 7.84902i) q^{37} +(-1.62523 + 4.88907i) q^{38} +(-2.27432 - 4.72268i) q^{39} +(0.0209024 + 0.130177i) q^{40} +(-1.75191 + 3.63789i) q^{41} +(1.60106 - 3.38180i) q^{42} +(-2.31404 - 4.80515i) q^{43} +(2.73308 + 10.4529i) q^{44} +(-0.0454453 + 0.0103726i) q^{45} +(1.08669 - 11.2226i) q^{46} +(-0.371672 + 0.466062i) q^{47} +(-0.644061 + 3.94781i) q^{48} +(5.55084 - 4.26476i) q^{49} +(-6.63396 + 2.43866i) q^{50} +(-1.45775 - 1.16252i) q^{51} +(2.65193 + 10.1426i) q^{52} +(0.113587 + 0.497658i) q^{53} +(-1.40763 - 0.136302i) q^{54} +(0.226879 - 0.109259i) q^{55} +(-4.44032 + 6.02358i) q^{56} +(3.28232 + 1.58068i) q^{57} +(2.50407 + 1.51921i) q^{58} +(-3.00005 + 1.44475i) q^{59} +(0.0931823 - 0.00292130i) q^{60} +(12.0386 + 2.74773i) q^{61} +(2.78099 - 8.36585i) q^{62} +(-2.22740 - 1.42782i) q^{63} +(2.77906 - 7.50179i) q^{64} +(0.220143 - 0.106015i) q^{65} +(7.57745 - 0.974242i) q^{66} +9.62227i q^{67} +(2.41526 + 2.84122i) q^{68} +(-7.77277 - 1.77408i) q^{69} +(0.157640 + 0.0746321i) q^{70} +(-1.82800 + 0.417230i) q^{71} +(2.71066 + 0.807681i) q^{72} +(7.50927 - 5.98844i) q^{73} +(9.73424 + 5.90573i) q^{74} +(1.11212 + 4.87252i) q^{75} +(-5.83614 - 4.36214i) q^{76} +(13.4475 + 4.84239i) q^{77} +(7.35247 - 0.945317i) q^{78} +6.41351i q^{79} +(-0.184023 - 0.0300223i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-4.10052 - 3.97398i) q^{82} +(-2.99386 - 3.75418i) q^{83} +(3.82415 + 3.65730i) q^{84} +(0.0541898 - 0.0679518i) q^{85} +(7.48087 - 0.961826i) q^{86} +(1.29127 - 1.61920i) q^{87} +(-15.2472 - 0.995368i) q^{88} +(-12.8025 + 10.2097i) q^{89} +(0.00635357 - 0.0656153i) q^{90} +(13.0482 + 4.69862i) q^{91} +(14.5760 + 6.46485i) q^{92} +(-5.61649 - 2.70476i) q^{93} +(-0.459652 - 0.706703i) q^{94} +(-0.0736821 + 0.153002i) q^{95} +(-5.01067 - 2.62550i) q^{96} -6.08284i q^{97} +(3.24704 + 9.35183i) q^{98} -5.40217i 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 $

$2$	−0.446111	+	1.34201i	−0.315448	+	0.948943i
$2$	−0.446111	+	1.34201i	−0.315448	+	0.948943i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$3$	0.900969	+	0.433884i	0.520175	+	0.250503i
$4$	−1.60197	−	1.19737i	−0.800985	−	0.598685i
$5$	−0.0202251	+	0.0419978i	−0.00904493	+	0.0187820i	−0.905442	−	0.424469i	$-0.860461\pi$
$5$	−0.0202251	+	0.0419978i	−0.00904493	+	0.0187820i	0.896397	+	0.443251i	$0.146175\pi$
$6$	−0.984208	+	1.01555i	−0.401801	+	0.414595i
$7$	−2.50508	+	0.851222i	−0.946831	+	0.321732i
$7$	−2.50508	+	0.851222i	−0.946831	+	0.321732i
$8$	2.32154	−	1.61569i	0.820787	−	0.571234i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−0.0473388	−	0.0458779i	−0.0149698	−	0.0145079i
$11$	−4.22358	−	3.36820i	−1.27346	−	1.01555i	−0.998536	−	0.0540831i	$-0.982776\pi$
$11$	−4.22358	−	3.36820i	−1.27346	−	1.01555i	−0.274922	−	0.961466i	$-0.588652\pi$
$12$	−0.923805	−	1.77386i	−0.266680	−	0.512070i
$13$	−4.09819	−	3.26819i	−1.13663	−	0.906434i	−0.140141	−	0.990132i	$-0.544756\pi$
$13$	−4.09819	−	3.26819i	−1.13663	−	0.906434i	−0.996491	+	0.0836975i	$0.973327\pi$
$14$	−0.0248016	−	3.74158i	−0.00662851	−	0.999978i
$15$	−0.0364443	+	0.0290634i	−0.00940989	+	0.00750414i
$16$	1.13261	+	3.83630i	0.283153	+	0.959075i
$17$	−1.81779	−	0.414899i	−0.440879	−	0.100628i	−0.00368123	−	0.999993i	$-0.501172\pi$
$17$	−1.81779	−	0.414899i	−0.440879	−	0.100628i	−0.437197	+	0.899366i	$0.644029\pi$
$18$	−1.32737	+	0.487944i	−0.312864	+	0.115010i
$19$	3.64310			0.835785			0.417893	−	0.908496i	$-0.362769\pi$
$19$	3.64310			0.835785			0.417893	+	0.908496i	$0.362769\pi$
$20$	0.0826869	−	0.0430623i	0.0184893	−	0.00962902i
$21$	−2.62633	−	0.319989i	−0.573112	−	0.0698273i
$22$	6.40434	−	4.16549i	1.36541	−	0.888086i
$23$	−7.77277	+	1.77408i	−1.62073	+	0.369922i	−0.934080	−	0.357063i	$-0.883778\pi$
$23$	−7.77277	+	1.77408i	−1.62073	+	0.369922i	−0.686654	+	0.726985i	$0.740921\pi$
$24$	2.79266	−	0.448414i	0.570048	−	0.0915320i
$25$	3.11609	+	3.90746i	0.623219	+	0.781492i
$26$	6.21419	−	4.04182i	1.21870	−	0.792666i
$27$	0.222521	+	0.974928i	0.0428242	+	0.187625i
$28$	5.03229	+	1.63588i	0.951013	+	0.309151i
$29$	0.460848	−	2.01911i	0.0855773	−	0.374938i	−0.913945	−	0.405838i	$-0.866980\pi$
$29$	0.460848	−	2.01911i	0.0855773	−	0.374938i	0.999523	+	0.0308990i	$0.00983703\pi$
$30$	−0.0227451	−	0.0618741i	−0.00415266	−	0.0112966i
$31$	−6.23384			−1.11963			−0.559815	−	0.828618i	$-0.689128\pi$
$31$	−6.23384			−1.11963			−0.559815	+	0.828618i	$0.689128\pi$
$32$	−5.65361	−	0.191445i	−0.999427	−	0.0338430i
$33$	−2.34391	−	4.86719i	−0.408023	−	0.847268i
$34$	1.36773	−	2.25440i	0.234564	−	0.386626i
$35$	0.0149160	−	0.122424i	0.00252126	−	0.0206934i
$36$	−0.0626700	−	1.99902i	−0.0104450	−	0.333170i
$37$	1.79149	−	7.84902i	0.294519	−	1.29037i	−0.583645	−	0.812009i	$-0.698374\pi$
$37$	1.79149	−	7.84902i	0.294519	−	1.29037i	0.878163	−	0.478361i	$-0.158769\pi$
$38$	−1.62523	+	4.88907i	−0.263647	+	0.793113i
$39$	−2.27432	−	4.72268i	−0.364183	−	0.756234i
$40$	0.0209024	+	0.130177i	0.00330496	+	0.0205828i
$41$	−1.75191	+	3.63789i	−0.273603	+	0.568142i	−0.991815	−	0.127682i	$-0.959246\pi$
$41$	−1.75191	+	3.63789i	−0.273603	+	0.568142i	0.718212	+	0.695824i	$0.244961\pi$
$42$	1.60106	−	3.38180i	0.247049	−	0.521824i
$43$	−2.31404	−	4.80515i	−0.352888	−	0.732779i	0.646662	−	0.762777i	$-0.276164\pi$
$43$	−2.31404	−	4.80515i	−0.352888	−	0.732779i	−0.999550	+	0.0299974i	$0.990450\pi$
$44$	2.73308	+	10.4529i	0.412027	+	1.57584i
$45$	−0.0454453	+	0.0103726i	−0.00677459	+	0.00154626i
$46$	1.08669	−	11.2226i	0.160223	−	1.65467i
$47$	−0.371672	+	0.466062i	−0.0542140	+	0.0679822i	−0.808199	−	0.588909i	$-0.799558\pi$
$47$	−0.371672	+	0.466062i	−0.0542140	+	0.0679822i	0.753985	+	0.656891i	$0.228129\pi$
$48$	−0.644061	+	3.94781i	−0.0929622	+	0.569817i
$49$	5.55084	−	4.26476i	0.792978	−	0.609251i
$50$	−6.63396	+	2.43866i	−0.938184	+	0.344879i
$51$	−1.45775	−	1.16252i	−0.204126	−	0.162785i
$52$	2.65193	+	10.1426i	0.367757	+	1.40652i
$53$	0.113587	+	0.497658i	0.0156024	+	0.0683586i	0.982130	−	0.188205i	$-0.0602669\pi$
$53$	0.113587	+	0.497658i	0.0156024	+	0.0683586i	−0.966527	+	0.256563i	$0.917410\pi$
$54$	−1.40763	−	0.136302i	−0.191554	−	0.0185483i
$55$	0.226879	−	0.109259i	0.0305924	−	0.0147325i
$56$	−4.44032	+	6.02358i	−0.593362	+	0.804935i
$57$	3.28232	+	1.58068i	0.434754	+	0.209367i
$58$	2.50407	+	1.51921i	0.328800	+	0.199482i
$59$	−3.00005	+	1.44475i	−0.390573	+	0.188090i	−0.618856	−	0.785505i	$-0.712403\pi$
$59$	−3.00005	+	1.44475i	−0.390573	+	0.188090i	0.228282	+	0.973595i	$0.426689\pi$
$60$	0.0931823	−	0.00292130i	0.0120298	−	0.000377138i
$61$	12.0386	+	2.74773i	1.54138	+	0.351811i	0.906974	−	0.421187i	$-0.138386\pi$
$61$	12.0386	+	2.74773i	1.54138	+	0.351811i	0.634409	+	0.772998i	$0.281244\pi$
$62$	2.78099	−	8.36585i	0.353185	−	1.06246i
$63$	−2.22740	−	1.42782i	−0.280626	−	0.179889i
$64$	2.77906	−	7.50179i	0.347383	−	0.937723i
$65$	0.220143	−	0.106015i	0.0273054	−	0.0131496i
$66$	7.57745	−	0.974242i	0.932719	−	0.119921i
$67$			9.62227i			1.17555i	0.809025	+	0.587774i	$0.199996\pi$
$67$			9.62227i			1.17555i	−0.809025	+	0.587774i	$0.800004\pi$
$68$	2.41526	+	2.84122i	0.292893	+	0.344549i
$69$	−7.77277	−	1.77408i	−0.935731	−	0.213575i
$70$	0.157640	+	0.0746321i	0.0188415	+	0.00892024i
$71$	−1.82800	+	0.417230i	−0.216944	+	0.0495161i	−0.329611	−	0.944117i	$-0.606918\pi$
$71$	−1.82800	+	0.417230i	−0.216944	+	0.0495161i	0.112667	+	0.993633i	$0.464061\pi$
$72$	2.71066	+	0.807681i	0.319454	+	0.0951861i
$73$	7.50927	−	5.98844i	0.878894	−	0.700894i	−0.0762337	−	0.997090i	$-0.524290\pi$
$73$	7.50927	−	5.98844i	0.878894	−	0.700894i	0.955127	+	0.296196i	$0.0957181\pi$
$74$	9.73424	+	5.90573i	1.13158	+	0.686527i
$75$	1.11212	+	4.87252i	0.128417	+	0.562630i
$76$	−5.83614	−	4.36214i	−0.669451	−	0.500372i
$77$	13.4475	+	4.84239i	1.53248	+	0.551842i
$78$	7.35247	−	0.945317i	0.832503	−	0.107036i
$79$			6.41351i			0.721576i	0.932648	+	0.360788i	$0.117492\pi$
$79$			6.41351i			0.721576i	−0.932648	+	0.360788i	$0.882508\pi$
$80$	−0.184023	−	0.0300223i	−0.0205744	−	0.00335660i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−4.10052	−	3.97398i	−0.452827	−	0.438853i
$83$	−2.99386	−	3.75418i	−0.328619	−	0.412075i	0.589885	−	0.807487i	$-0.299173\pi$
$83$	−2.99386	−	3.75418i	−0.328619	−	0.412075i	−0.918504	+	0.395412i	$0.870602\pi$
$84$	3.82415	+	3.65730i	0.417249	+	0.399044i
$85$	0.0541898	−	0.0679518i	0.00587771	−	0.00737041i
$86$	7.48087	−	0.961826i	0.806683	−	0.103716i
$87$	1.29127	−	1.61920i	0.138438	−	0.173596i
$88$	−15.2472	−	0.995368i	−1.62536	−	0.106107i
$89$	−12.8025	+	10.2097i	−1.35706	+	1.08222i	−0.368794	+	0.929511i	$0.620229\pi$
$89$	−12.8025	+	10.2097i	−1.35706	+	1.08222i	−0.988271	+	0.152712i	$0.951199\pi$
$90$	0.00635357	−	0.0656153i	0.000669726	−	0.00691646i
$91$	13.0482	+	4.69862i	1.36783	+	0.492549i
$92$	14.5760	+	6.46485i	1.51965	+	0.674007i
$93$	−5.61649	−	2.70476i	−0.582403	−	0.280471i
$94$	−0.459652	−	0.706703i	−0.0474095	−	0.0728908i
$95$	−0.0736821	+	0.153002i	−0.00755962	+	0.0156977i
$96$	−5.01067	−	2.62550i	−0.511399	−	0.267964i
$97$		−	6.08284i		−	0.617618i	−0.951124	−	0.308809i	$-0.900070\pi$
$97$		−	6.08284i		−	0.617618i	0.951124	−	0.308809i	$-0.0999305\pi$
$98$	3.24704	+	9.35183i	0.328001	+	0.944678i
$99$		−	5.40217i		−	0.542938i
$100$	−0.313214	−	9.99075i	−0.0313214	−	0.999075i
$101$	2.27205	−	4.71797i	0.226078	−	0.469455i	−0.756816	−	0.653628i	$-0.773246\pi$
$101$	2.27205	−	4.71797i	0.226078	−	0.469455i	0.982894	+	0.184173i	$0.0589605\pi$
$102$	2.21043	−	1.43770i	0.218865	−	0.142354i
$103$	−15.4641	−	7.44714i	−1.52373	−	0.733788i	−0.530252	−	0.847840i	$-0.677903\pi$
$103$	−15.4641	−	7.44714i	−1.52373	−	0.733788i	−0.993475	+	0.114052i	$0.963617\pi$
$104$	−14.7945	−	0.965815i	−1.45072	−	0.0947060i
$105$	0.0665566	−	0.103828i	0.00649526	−	0.0101326i
$106$	−0.718533	−	0.0695760i	−0.0697901	−	0.00675782i
$107$	−4.24003	+	3.38131i	−0.409899	+	0.326883i	−0.806636	−	0.591049i	$-0.798714\pi$
$107$	−4.24003	+	3.38131i	−0.409899	+	0.326883i	0.396737	+	0.917932i	$0.370143\pi$
$108$	0.810878	−	1.82824i	0.0780267	−	0.175923i
$109$	−10.5405	+	13.2174i	−1.00960	+	1.26600i	−0.0459163	+	0.998945i	$0.514621\pi$
$109$	−10.5405	+	13.2174i	−1.00960	+	1.26600i	−0.963682	+	0.267051i	$0.913951\pi$
$110$	0.0454134	+	0.353216i	0.00433000	+	0.0336778i
$111$	5.01963	−	6.29442i	0.476443	−	0.597440i
$112$	−6.10282	−	8.64613i	−0.576662	−	0.816983i
$113$	−8.37381	−	10.5004i	−0.787742	−	0.987797i	−0.999944	−	0.0105709i	$-0.996635\pi$
$113$	−8.37381	−	10.5004i	−0.787742	−	0.987797i	0.212203	−	0.977226i	$-0.431936\pi$
$114$	−3.58557	+	3.69974i	−0.335820	+	0.346513i
$115$	0.0826972	−	0.362320i	0.00771156	−	0.0337865i
$116$	−3.15588	+	2.68274i	−0.293016	+	0.249086i
$117$		−	5.24178i		−	0.484602i
$118$	−0.600506	−	4.67061i	−0.0552811	−	0.429964i
$119$	4.90688	−	0.507988i	0.449813	−	0.0465672i
$120$	−0.0376493	+	0.126355i	−0.00343689	+	0.0115345i
$121$	4.04619	+	17.7275i	0.367836	+	1.61159i
$122$	−9.05802	+	14.9301i	−0.820075	+	1.35171i
$123$	−3.15684	+	2.51750i	−0.284643	+	0.226995i
$124$	9.98641	+	7.46421i	0.896806	+	0.670306i
$125$	−0.454355	+	0.103704i	−0.0406387	+	0.00927552i
$126$	2.90982	−	2.35222i	0.259227	−	0.209553i
$127$	16.5222	+	3.77108i	1.46611	+	0.334629i	0.879755	−	0.475427i	$-0.157707\pi$
$127$	16.5222	+	3.77108i	1.46611	+	0.334629i	0.586352	+	0.810057i	$0.300564\pi$
$128$	8.82768	+	7.07616i	0.780264	+	0.625450i
$129$		−	5.33332i		−	0.469573i
$130$	0.0440650	+	0.342728i	0.00386476	+	0.0300593i
$131$	−0.352038	+	0.169532i	−0.0307577	+	0.0148121i	−0.449199	−	0.893432i	$-0.648291\pi$
$131$	−0.352038	+	0.169532i	−0.0307577	+	0.0148121i	0.418442	+	0.908244i	$0.362576\pi$
$132$	−2.07294	+	10.6036i	−0.180427	+	0.922926i
$133$	−9.12626	+	3.10109i	−0.791348	+	0.268899i
$134$	−12.9132	−	4.29261i	−1.11553	−	0.370825i
$135$	−0.0454453	−	0.0103726i	−0.00391131	−	0.000892732i
$136$	−4.89041	+	1.97379i	−0.419350	+	0.169251i
$137$	4.71687	−	2.27152i	0.402989	−	0.194069i	−0.221399	−	0.975183i	$-0.571062\pi$
$137$	4.71687	−	2.27152i	0.402989	−	0.194069i	0.624389	+	0.781114i	$0.285348\pi$
$138$	5.84835	−	9.63967i	0.497845	−	0.820584i
$139$	10.8589	+	5.22936i	0.921039	+	0.443549i	0.833442	−	0.552607i	$-0.186367\pi$
$139$	10.8589	+	5.22936i	0.921039	+	0.443549i	0.0875968	+	0.996156i	$0.472081\pi$
$140$	−0.170482	+	0.178259i	−0.0144083	+	0.0150657i
$141$	−0.537082	+	0.258645i	−0.0452305	+	0.0217818i
$142$	0.255568	−	2.63933i	0.0214468	−	0.221487i
$143$	6.30112	+	27.6070i	0.526926	+	2.30861i
$144$	−2.29317	+	3.27740i	−0.191097	+	0.273117i
$145$	0.0754773	+	0.0601912i	0.00626805	+	0.00499860i
$146$	4.68657	+	12.7490i	0.387863	+	1.05512i
$147$	6.85155	−	1.43399i	0.565106	−	0.118274i
$148$	−12.2681	+	10.4288i	−1.00843	+	0.857243i
$149$	−12.8149	+	16.0694i	−1.04984	+	1.31646i	−0.103024	+	0.994679i	$0.532852\pi$
$149$	−12.8149	+	16.0694i	−1.04984	+	1.31646i	−0.946815	+	0.321778i	$0.895720\pi$
$150$	−7.03509	−	0.681212i	−0.574413	−	0.0556207i
$151$	−12.4520	+	2.84209i	−1.01333	+	0.231286i	−0.696776	−	0.717288i	$-0.745383\pi$
$151$	−12.4520	+	2.84209i	−1.01333	+	0.231286i	−0.316554	+	0.948574i	$0.602526\pi$
$152$	8.45760	−	5.88614i	0.686002	−	0.477429i
$153$	−0.808992	−	1.67989i	−0.0654032	−	0.135811i
$154$	−12.4976	+	15.8864i	−1.00709	+	1.28016i
$155$	0.126080	−	0.261807i	0.0101270	−	0.0210289i
$156$	−2.01140	+	10.2888i	−0.161041	+	0.823762i
$157$	−7.88108	−	16.3652i	−0.628978	−	1.30609i	−0.935198	−	0.354126i	$-0.884778\pi$
$157$	−7.88108	−	16.3652i	−0.628978	−	1.30609i	0.306219	−	0.951961i	$-0.400936\pi$
$158$	−8.60698	−	2.86114i	−0.684735	−	0.227620i
$159$	−0.113587	+	0.497658i	−0.00900805	+	0.0394669i
$160$	0.122385	−	0.233567i	0.00967539	−	0.0184651i
$161$	17.9613	−	11.0606i	1.41555	−	0.871695i
$162$	−1.20909	−	0.733551i	−0.0949952	−	0.0576332i
$163$	−0.749849	−	1.55708i	−0.0587327	−	0.121960i	0.869537	−	0.493869i	$-0.164418\pi$
$163$	−0.749849	−	1.55708i	−0.0587327	−	0.121960i	−0.928269	+	0.371909i	$0.878703\pi$
$164$	7.16241	−	3.73009i	0.559290	−	0.291271i
$165$	0.251817			0.0196039
$166$	6.37374	−	2.34300i	0.494698	−	0.181852i
$167$	5.01762	−	21.9836i	0.388275	−	1.70114i	−0.282320	−	0.959320i	$-0.591104\pi$
$167$	5.01762	−	21.9836i	0.388275	−	1.70114i	0.670595	−	0.741823i	$-0.266039\pi$
$168$	−6.61412	+	3.50048i	−0.510291	+	0.270068i
$169$	3.22126	+	14.1133i	0.247789	+	1.08564i
$170$	0.0670172	+	0.103037i	0.00513998	+	0.00790259i
$171$	2.27144	+	2.84829i	0.173701	+	0.217814i
$172$	−2.04653	+	10.4685i	−0.156046	+	0.798213i
$173$	−15.7733	+	3.60016i	−1.19922	+	0.273715i	−0.775070	−	0.631875i	$-0.782286\pi$
$173$	−15.7733	+	3.60016i	−1.19922	+	0.273715i	−0.424154	+	0.905590i	$0.639429\pi$
$174$	1.59693	+	2.45523i	0.121063	+	0.186131i
$175$	−11.1322	−	7.13601i	−0.841513	−	0.539431i
$176$	8.13773	−	20.0178i	0.613405	−	1.50890i
$177$	−3.32980			−0.250283
$178$	−7.99011	−	21.7357i	−0.598884	−	1.62916i
$179$	−0.240257	−	0.0548370i	−0.0179576	−	0.00409871i	0.213533	−	0.976936i	$-0.431503\pi$
$179$	−0.240257	−	0.0548370i	−0.0179576	−	0.00409871i	−0.231490	+	0.972837i	$0.574360\pi$
$180$	0.0852219	+	0.0377983i	0.00635206	+	0.00281732i
$181$	−5.83782	+	4.65550i	−0.433921	+	0.346041i	−0.815963	−	0.578104i	$-0.803793\pi$
$181$	−5.83782	+	4.65550i	−0.433921	+	0.346041i	0.382041	+	0.924145i	$0.375221\pi$
$182$	−12.1266	+	15.4147i	−0.898880	+	1.14262i
$183$	9.65420	+	7.69896i	0.713659	+	0.569124i
$184$	−15.1784	+	16.6770i	−1.11897	+	1.22945i
$185$	0.293409	+	0.233986i	0.0215718	+	0.0172030i
$186$	6.13539	−	6.33075i	0.449869	−	0.464193i
$187$	6.28013	+	7.87503i	0.459248	+	0.575879i
$188$	1.15346	−	0.301588i	0.0841245	−	0.0219956i
$189$	−1.38731	−	2.25286i	−0.100912	−	0.163871i
$190$	−0.172460	−	0.167138i	−0.0125116	−	0.0121255i
$191$	0.526785	−	1.09388i	0.0381168	−	0.0791504i	−0.881041	−	0.473040i	$-0.843157\pi$
$191$	0.526785	−	1.09388i	0.0381168	−	0.0791504i	0.919158	+	0.393890i	$0.128871\pi$
$192$	5.75875	−	5.55309i	0.415602	−	0.400760i
$193$	9.04236	+	4.35457i	0.650884	+	0.313449i	0.730031	−	0.683414i	$-0.239506\pi$
$193$	9.04236	+	4.35457i	0.650884	+	0.313449i	−0.0791475	+	0.996863i	$0.525220\pi$
$194$	8.16321	+	2.71362i	0.586085	+	0.194827i
$195$	0.244340			0.0174976
$196$	−13.9988	+	0.185594i	−0.999912	+	0.0132567i
$197$	−11.0226			−0.785329			−0.392664	−	0.919682i	$-0.628447\pi$
$197$	−11.0226			−0.785329			−0.392664	+	0.919682i	$0.628447\pi$
$198$	7.24975	+	2.40997i	0.515217	+	0.171269i
$199$	7.21398	+	3.47407i	0.511386	+	0.246270i	0.671737	−	0.740790i	$-0.265548\pi$
$199$	7.21398	+	3.47407i	0.511386	+	0.246270i	−0.160351	+	0.987060i	$0.551263\pi$
$200$	13.5474	+	4.03665i	0.957945	+	0.285434i
$201$	−4.17495	+	8.66937i	−0.294478	+	0.611490i
$202$	5.31796	+	5.15385i	0.374170	+	0.362624i
$203$	0.564247	+	5.45030i	0.0396023	+	0.382536i
$204$	0.943310	+	3.60779i	0.0660449	+	0.252596i
$205$	−0.117351	−	0.147153i	−0.00819613	−	0.0102776i
$206$	16.8928	−	17.4307i	1.17698	−	1.21446i
$207$	−6.23328	−	4.97087i	−0.433243	−	0.345499i
$208$	7.89612	−	19.4235i	0.547498	−	1.34677i
$209$	−15.3870	−	12.2707i	−1.06434	−	0.848781i
$210$	0.109647	+	0.135638i	0.00756634	+	0.00935994i
$211$	2.57719	−	2.05524i	0.177421	−	0.141489i	−0.530753	−	0.847527i	$-0.678091\pi$
$211$	2.57719	−	2.05524i	0.177421	−	0.141489i	0.708174	+	0.706038i	$0.249519\pi$
$212$	0.413918	−	0.933239i	0.0284280	−	0.0640951i
$213$	−1.82800	−	0.417230i	−0.125253	−	0.0285881i
$214$	−2.64622	−	7.19859i	−0.180892	−	0.492085i
$215$	0.248608			0.0169549
$216$	2.09178	+	1.90380i	0.142327	+	0.129538i
$217$	15.6163	−	5.30638i	1.06010	−	0.360220i
$218$	−13.0356	−	20.0419i	−0.882882	−	1.35741i
$219$	9.36391	−	2.13725i	0.632754	−	0.144422i
$220$	−0.494277	−	0.0966284i	−0.0333242	−	0.00651468i
$221$	6.09367	+	7.64122i	0.409905	+	0.514004i
$222$	6.20785	+	9.54440i	0.416643	+	0.640578i
$223$	−3.49760	−	15.3240i	−0.234217	−	1.02617i	−0.946100	−	0.323874i	$-0.895015\pi$
$223$	−3.49760	−	15.3240i	−0.234217	−	1.02617i	0.711883	−	0.702298i	$-0.247842\pi$
$224$	14.3257	−	4.33289i	0.957177	−	0.289504i
$225$	−1.11212	+	4.87252i	−0.0741414	+	0.324835i
$226$	17.8273	−	6.55336i	1.18585	−	0.435923i
$227$	14.8216			0.983742			0.491871	−	0.870668i	$-0.336313\pi$
$227$	14.8216			0.983742			0.491871	+	0.870668i	$0.336313\pi$
$228$	−3.36552	−	6.46236i	−0.222887	−	0.427980i
$229$	5.04858	+	10.4835i	0.333619	+	0.692768i	0.998533	−	0.0541526i	$-0.0172458\pi$
$229$	5.04858	+	10.4835i	0.333619	+	0.692768i	−0.664913	+	0.746921i	$0.731531\pi$
$230$	0.449344	+	0.272615i	0.0296289	+	0.0179757i
$231$	10.0147	+	10.1975i	0.658922	+	0.670946i
$232$	−2.19238	−	5.43202i	−0.143937	−	0.356629i
$233$	−2.35978	+	10.3389i	−0.154594	+	0.677322i	0.836920	+	0.547325i	$0.184354\pi$
$233$	−2.35978	+	10.3389i	−0.154594	+	0.677322i	−0.991514	+	0.129997i	$0.958503\pi$
$234$	7.03450	+	2.33842i	0.459860	+	0.152867i
$235$	−0.0120565	−	0.0250356i	−0.000786479	−	0.00163314i
$236$	6.53588	+	1.27773i	0.425450	+	0.0831730i
$237$	−2.78272	+	5.77837i	−0.180757	+	0.375346i
$238$	−1.50729	+	6.81169i	−0.0977031	+	0.441536i
$239$	−8.65838	−	17.9793i	−0.560064	−	1.16299i	−0.968226	−	0.250076i	$-0.919544\pi$
$239$	−8.65838	−	17.9793i	−0.560064	−	1.16299i	0.408162	−	0.912909i	$-0.366170\pi$
$240$	−0.152773	−	0.106894i	−0.00986146	−	0.00689997i
$241$	18.2252	−	4.15979i	1.17399	−	0.267956i	0.409329	−	0.912387i	$-0.365763\pi$
$241$	18.2252	−	4.15979i	1.17399	−	0.267956i	0.764662	+	0.644431i	$0.222906\pi$
$242$	−25.5955	−	2.47843i	−1.64534	−	0.159320i
$243$	−0.623490	+	0.781831i	−0.0399969	+	0.0501545i
$244$	−15.9954	−	18.8164i	−1.02400	−	1.20460i
$245$	0.0668442	+	0.319378i	0.00427052	+	0.0204043i
$246$	−1.97020	−	5.35959i	−0.125615	−	0.341715i
$247$	−14.9301	−	11.9064i	−0.949981	−	0.757584i
$248$	−14.4721	+	10.0720i	−0.918978	+	0.639571i
$249$	−1.06850	−	4.68139i	−0.0677132	−	0.296671i
$250$	0.0635219	−	0.656011i	0.00401748	−	0.0414898i
$251$	14.3874	−	6.92863i	0.908127	−	0.437331i	0.0793098	−	0.996850i	$-0.474728\pi$
$251$	14.3874	−	6.92863i	0.908127	−	0.437331i	0.828818	+	0.559519i	$0.189014\pi$
$252$	1.85860	+	4.95435i	0.117081	+	0.312095i
$253$	38.8044	+	18.6872i	2.43961	+	1.17486i
$254$	−12.4316	+	20.4906i	−0.780025	+	1.28569i
$255$	0.0783065	−	0.0377104i	0.00490374	−	0.00236152i
$256$	−13.4344	+	8.69007i	−0.839649	+	0.543129i
$257$	13.7431	+	3.13677i	0.857270	+	0.195666i	0.628495	−	0.777813i	$-0.283671\pi$
$257$	13.7431	+	3.13677i	0.857270	+	0.195666i	0.228774	+	0.973480i	$0.426528\pi$
$258$	7.15735	+	2.37925i	0.445597	+	0.148126i
$259$	2.19344	+	21.1874i	0.136294	+	1.31652i
$260$	−0.479602	−	0.0937595i	−0.0297437	−	0.00581471i
$261$	1.86593	−	0.898587i	0.115498	−	0.0556211i
$262$	−0.0704658	−	0.548068i	−0.00435339	−	0.0338597i
$263$			17.2157i			1.06156i	0.847509	+	0.530781i	$0.178102\pi$
$263$			17.2157i			1.06156i	−0.847509	+	0.530781i	$0.821898\pi$
$264$	−13.3054	−	7.51230i	−0.818889	−	0.462350i
$265$	−0.0231979	−	0.00529476i	−0.00142503	−	0.000325255i
$266$	−0.0903549	−	13.6309i	−0.00554001	−	0.835767i
$267$	−15.9645	+	3.64379i	−0.977011	+	0.222996i
$268$	11.5214	−	15.4146i	0.703783	−	0.941596i
$269$	−0.966429	+	0.770701i	−0.0589242	+	0.0469905i	−0.652509	−	0.757781i	$-0.726284\pi$
$269$	−0.966429	+	0.770701i	−0.0589242	+	0.0469905i	0.593585	+	0.804771i	$0.297712\pi$
$270$	0.0341938	−	0.0563607i	0.00208097	−	0.00343000i
$271$	−1.98137	−	8.68095i	−0.120360	−	0.527330i	−0.998777	−	0.0494363i	$-0.984258\pi$
$271$	−1.98137	−	8.68095i	−0.120360	−	0.527330i	0.878418	−	0.477894i	$-0.158600\pi$
$272$	−0.467172	−	7.44350i	−0.0283265	−	0.451329i
$273$	9.71740	+	9.89473i	0.588124	+	0.598856i
$274$	0.944154	+	7.34343i	0.0570384	+	0.443633i
$275$		−	26.9991i		−	1.62811i
$276$	10.3275	+	12.1489i	0.621642	+	0.731278i
$277$	−0.652312	+	2.85797i	−0.0391937	+	0.171719i	−0.990737	−	0.135797i	$-0.956640\pi$
$277$	−0.652312	+	2.85797i	−0.0391937	+	0.171719i	0.951543	+	0.307516i	$0.0994976\pi$
$278$	−11.8621	+	12.2398i	−0.711443	+	0.734096i
$279$	−3.88673	−	4.87381i	−0.232693	−	0.291787i
$280$	−0.163172	−	0.308311i	−0.00975137	−	0.0184251i
$281$	2.02682	−	2.54155i	0.120910	−	0.151616i	−0.717693	−	0.696360i	$-0.754802\pi$
$281$	2.02682	−	2.54155i	0.120910	−	0.151616i	0.838602	+	0.544744i	$0.183373\pi$
$282$	−0.107505	−	0.836153i	−0.00640184	−	0.0497922i
$283$	15.0553	−	18.8788i	0.894946	−	1.12223i	−0.0969649	−	0.995288i	$-0.530913\pi$
$283$	15.0553	−	18.8788i	0.894946	−	1.12223i	0.991911	−	0.126939i	$-0.0405151\pi$
$284$	3.42798	+	1.52041i	0.203413	+	0.0902196i
$285$	−0.132771	+	0.105881i	−0.00786465	+	0.00627185i
$286$	−39.8598	−	3.85965i	−2.35696	−	0.228226i
$287$	1.29203	−	10.6045i	0.0762664	−	0.625961i
$288$	−3.37529	−	4.53954i	−0.198891	−	0.267495i
$289$	−12.1843	−	5.86763i	−0.716721	−	0.345155i
$290$	−0.114448	+	0.0744392i	−0.00672064	+	0.00437122i
$291$	2.63924	−	5.48045i	0.154715	−	0.321269i
$292$	−19.2000	+	0.601927i	−1.12360	+	0.0352251i
$293$		−	21.4997i		−	1.25603i	−0.778202	−	0.628014i	$-0.783868\pi$
$293$		−	21.4997i		−	1.25603i	0.778202	−	0.628014i	$-0.216132\pi$
$294$	−1.13213	+	9.83455i	−0.0660269	+	0.573562i
$295$		−	0.155216i		−	0.00903701i
$296$	−8.52261	−	21.1163i	−0.495367	−	1.22736i
$297$	2.34391	−	4.86719i	0.136008	−	0.282423i
$298$	−15.8484	−	24.3665i	−0.918072	−	1.41151i
$299$	37.6523	+	18.1324i	2.17749	+	1.04862i
$300$	4.05263	−	9.13725i	0.233978	−	0.527539i
$301$	9.88711	+	10.0675i	0.569883	+	0.580283i
$302$	1.74088	−	17.9786i	0.100176	−	1.03455i
$303$	4.09410	−	3.26493i	0.235200	−	0.187566i
$304$	4.12622	+	13.9760i	0.236655	+	0.801581i
$305$	−0.358880	+	0.450021i	−0.0205494	+	0.0257681i
$306$	2.61533	−	0.336256i	0.149508	−	0.0192225i
$307$	−1.05044	+	1.31721i	−0.0599516	+	0.0751769i	−0.810903	−	0.585180i	$-0.801024\pi$
$307$	−1.05044	+	1.31721i	−0.0599516	+	0.0751769i	0.750952	+	0.660357i	$0.229595\pi$
$308$	−15.7443	−	23.8590i	−0.897117	−	1.35949i
$309$	−10.7015	−	13.4193i	−0.608788	−	0.763396i
$310$	0.295102	+	0.285995i	0.0167607	+	0.0162434i
$311$	6.08177	−	26.6460i	0.344865	−	1.51095i	−0.443797	−	0.896127i	$-0.646369\pi$
$311$	6.08177	−	26.6460i	0.344865	−	1.51095i	0.788662	−	0.614827i	$-0.210774\pi$
$312$	−12.9103	−	7.28926i	−0.730903	−	0.412673i
$313$		−	16.2824i		−	0.920338i	−0.887831	−	0.460169i	$-0.847789\pi$
$313$		−	16.2824i		−	0.920338i	0.887831	−	0.460169i	$-0.152211\pi$
$314$	25.4781	−	3.27575i	1.43781	−	0.184861i
$315$	0.105015	−	0.0646683i	0.00591691	−	0.00364364i
$316$	7.67934	−	10.2742i	0.431997	−	0.577972i
$317$	−3.86046	−	16.9138i	−0.216825	−	0.949971i	−0.959807	−	0.280660i	$-0.909447\pi$
$317$	−3.86046	−	16.9138i	−0.216825	−	0.949971i	0.742982	−	0.669311i	$-0.233411\pi$
$318$	−0.617188	−	0.374446i	−0.0346102	−	0.0209979i
$319$	−8.74717	+	6.97564i	−0.489748	+	0.390561i
$320$	0.258852	+	0.268439i	0.0144703	+	0.0150062i
$321$	−5.28722	+	1.20677i	−0.295104	+	0.0673556i
$322$	6.83064	+	29.0384i	0.380657	+	1.61825i
$323$	−6.62240	−	1.51152i	−0.368480	−	0.0841032i
$324$	1.52382	−	1.29536i	0.0846567	−	0.0719647i
$325$		−	26.1975i		−	1.45318i
$326$	2.42413	−	0.311673i	0.134260	−	0.0172620i
$327$	−15.2315	+	7.33510i	−0.842303	+	0.405632i
$328$	1.81058	+	11.2760i	0.0999726	+	0.622615i
$329$	0.534346	−	1.48390i	0.0294595	−	0.0818100i
$330$	−0.112338	+	0.337940i	−0.00618403	+	0.0186030i
$331$	−15.6987	−	3.58313i	−0.862879	−	0.196947i	−0.231894	−	0.972741i	$-0.574492\pi$
$331$	−15.6987	−	3.58313i	−0.862879	−	0.196947i	−0.630986	+	0.775794i	$0.717349\pi$
$332$	0.300927	+	9.59885i	0.0165155	+	0.526805i
$333$	7.25358	−	3.49314i	0.397494	−	0.191423i
$334$	27.2638	+	16.5408i	1.49181	+	0.905074i
$335$	−0.404114	−	0.194611i	−0.0220791	−	0.0106327i
$336$	−1.74704	−	10.4378i	−0.0953086	−	0.569429i
$337$	−29.1283	+	14.0275i	−1.58672	+	0.764124i	−0.998990	−	0.0449324i	$-0.985693\pi$
$337$	−29.1283	+	14.0275i	−1.58672	+	0.764124i	−0.587730	+	0.809057i	$0.699978\pi$
$338$	−20.3772	−	1.97313i	−1.10837	−	0.107324i
$339$	−2.98858	−	13.0938i	−0.162317	−	0.711158i
$340$	−0.168174	+	0.0439715i	−0.00912051	+	0.00238469i
$341$	26.3291	+	20.9968i	1.42580	+	1.13704i
$342$	−4.83575	+	1.77763i	−0.261487	+	0.0961233i
$343$	−10.2750	+	15.4085i	−0.554801	+	0.831983i
$344$	−13.1358	−	7.41656i	−0.708234	−	0.399874i
$345$	0.231712	−	0.290558i	0.0124750	−	0.0156431i
$346$	2.20522	−	22.7740i	0.118553	−	1.22434i
$347$	22.3555	−	5.10249i	1.20010	−	0.273916i	0.424672	−	0.905347i	$-0.360389\pi$
$347$	22.3555	−	5.10249i	1.20010	−	0.273916i	0.775432	+	0.631431i	$0.217532\pi$
$348$	−4.00735	+	1.04778i	−0.214816	+	0.0561669i
$349$	−7.36603	−	15.2957i	−0.394295	−	0.818762i	−0.999738	−	0.0228733i	$-0.992719\pi$
$349$	−7.36603	−	15.2957i	−0.394295	−	0.818762i	0.605444	−	0.795888i	$-0.292996\pi$
$350$	14.5428	−	11.7560i	0.777344	−	0.628385i
$351$	2.27432	−	4.72268i	0.121394	−	0.252078i
$352$	23.2337	+	19.8511i	1.23836	+	1.05807i
$353$	−12.0111	−	24.9414i	−0.639288	−	1.32750i	−0.928893	−	0.370349i	$-0.879238\pi$
$353$	−12.0111	−	24.9414i	−0.639288	−	1.32750i	0.289604	−	0.957146i	$-0.406476\pi$
$354$	1.48546	−	4.46862i	0.0789515	−	0.237505i
$355$	0.0194488	−	0.0852107i	0.00103223	−	0.00452251i
$356$	32.7340	−	1.02622i	1.73490	−	0.0543897i
$357$	4.64135	+	1.67133i	0.245646	+	0.0884563i
$358$	0.180773	−	0.297963i	0.00955415	−	0.0157478i
$359$	12.7529	+	26.4817i	0.673074	+	1.39765i	0.905208	+	0.424969i	$0.139715\pi$
$359$	12.7529	+	26.4817i	0.673074	+	1.39765i	−0.232134	+	0.972684i	$0.574571\pi$
$360$	−0.0887441	+	0.0975062i	−0.00467722	+	0.00513903i
$361$	−5.72779			−0.301463
$362$	−3.64340	−	9.91127i	−0.191493	−	0.520925i
$363$	−4.04619	+	17.7275i	−0.212370	+	0.930454i
$364$	−15.2769	−	23.1506i	−0.800727	−	1.21342i
$365$	0.0996259	+	0.436490i	0.00521466	+	0.0228469i
$366$	−14.6389	+	9.52141i	−0.765188	+	0.497692i
$367$	−3.58881	−	4.50022i	−0.187334	−	0.234910i	0.679291	−	0.733869i	$-0.262287\pi$
$367$	−3.58881	−	4.50022i	−0.187334	−	0.234910i	−0.866626	+	0.498959i	$0.833716\pi$
$368$	−15.6094	−	27.8093i	−0.813698	−	1.44966i
$369$	−3.93651	+	0.898484i	−0.204927	+	0.0467732i
$370$	−0.444903	+	0.289373i	−0.0231294	+	0.0150438i
$371$	−0.708162	−	1.14998i	−0.0367660	−	0.0597042i
$372$	5.75885	+	11.0580i	0.298582	+	0.573329i
$373$	16.7948			0.869600			0.434800	−	0.900527i	$-0.356819\pi$
$373$	16.7948			0.869600			0.434800	+	0.900527i	$0.356819\pi$
$374$	−13.3700	+	4.91484i	−0.691346	+	0.254140i
$375$	−0.454355	−	0.103704i	−0.0234628	−	0.00535523i
$376$	−0.109836	+	1.68249i	−0.00566438	+	0.0867678i
$377$	−8.48747	+	6.76853i	−0.437127	+	0.348597i
$378$	3.64225	−	0.856759i	0.187337	−	0.0440669i
$379$	4.38597	+	3.49770i	0.225292	+	0.179665i	0.729631	−	0.683842i	$-0.239692\pi$
$379$	4.38597	+	3.49770i	0.225292	+	0.179665i	−0.504338	+	0.863506i	$0.668263\pi$
$380$	0.301237	−	0.156880i	0.0154531	−	0.00804780i
$381$	13.2498	+	10.5663i	0.678806	+	0.541330i
$382$	1.23299	+	1.19494i	0.0630853	+	0.0611386i
$383$	−9.06944	−	11.3727i	−0.463427	−	0.581119i	0.494121	−	0.869393i	$-0.335490\pi$
$383$	−9.06944	−	11.3727i	−0.463427	−	0.581119i	−0.957548	+	0.288274i	$0.906919\pi$
$384$	4.88324	+	10.2056i	0.249197	+	0.520802i
$385$	−0.475347	+	0.466828i	−0.0242259	+	0.0237917i
$386$	−9.87777	+	10.1923i	−0.502765	+	0.518774i
$387$	2.31404	−	4.80515i	0.117629	−	0.244260i
$388$	−7.28341	+	9.74452i	−0.369759	+	0.494703i
$389$	23.2981	+	11.2198i	1.18126	+	0.568866i	0.918279	−	0.395934i	$-0.129579\pi$
$389$	23.2981	+	11.2198i	1.18126	+	0.568866i	0.262984	+	0.964800i	$0.415293\pi$
$390$	−0.109003	+	0.327907i	−0.00551959	+	0.0166042i
$391$	14.8653			0.751771
$392$	5.99594	−	18.8693i	0.302841	−	0.953041i
$393$	−0.390732			−0.0197098
$394$	4.91732	−	14.7924i	0.247731	−	0.745232i
$395$	−0.269353	−	0.129714i	−0.0135526	−	0.00652661i
$396$	−6.46839	+	8.65411i	−0.325049	+	0.434885i
$397$	−0.931072	+	1.93339i	−0.0467292	+	0.0970341i	−0.923026	−	0.384737i	$-0.874292\pi$
$397$	−0.931072	+	1.93339i	−0.0467292	+	0.0970341i	0.876297	+	0.481771i	$0.160006\pi$
$398$	−7.88047	+	8.13140i	−0.395012	+	0.407590i
$399$	−9.56799	−	1.16575i	−0.478999	−	0.0583606i
$400$	−11.4609	+	16.3799i	−0.573043	+	0.818995i
$401$	−24.4998	−	30.7218i	−1.22346	−	1.53417i	−0.762853	−	0.646573i	$-0.776202\pi$
$401$	−24.4998	−	30.7218i	−1.22346	−	1.53417i	−0.460611	−	0.887602i	$-0.652370\pi$
$402$	−9.77187	−	9.47032i	−0.487376	−	0.472336i
$403$	25.5474	+	20.3734i	1.27261	+	1.01487i
$404$	−9.28891	+	4.83755i	−0.462140	+	0.240677i
$405$	−0.0364443	−	0.0290634i	−0.00181093	−	0.00144417i
$406$	−7.56607	−	1.67422i	−0.375498	−	0.0830901i
$407$	−34.0035	+	27.1169i	−1.68549	+	1.34414i
$408$	−5.26251	−	0.343547i	−0.260533	−	0.0170081i
$409$	17.6336	+	4.02476i	0.871928	+	0.199012i	0.634997	−	0.772515i	$-0.281001\pi$
$409$	17.6336	+	4.02476i	0.871928	+	0.199012i	0.236931	+	0.971527i	$0.423859\pi$
$410$	0.249832	−	0.0918388i	0.0123383	−	0.00453560i
$411$	5.23533			0.258240
$412$	15.8561	+	30.4464i	0.781174	+	1.49999i
$413$	6.28556	−	6.17291i	0.309292	−	0.303749i
$414$	9.45168	−	6.14754i	0.464525	−	0.302135i
$415$	0.218219	−	0.0498070i	0.0107119	−	0.00244493i
$416$	22.5439	+	19.2617i	1.10530	+	0.944382i
$417$	7.51458	+	9.42299i	0.367991	+	0.461446i
$418$	23.3317	−	15.1753i	1.14119	−	0.742249i
$419$	−0.546483	−	2.39430i	−0.0266974	−	0.116969i	0.959823	−	0.280605i	$-0.0905350\pi$
$419$	−0.546483	−	2.39430i	−0.0266974	−	0.116969i	−0.986521	+	0.163636i	$0.947678\pi$
$420$	−0.230942	+	0.0866369i	−0.0112688	+	0.00422745i
$421$	−5.92496	+	25.9589i	−0.288765	+	1.26516i	0.597457	+	0.801901i	$0.296178\pi$
$421$	−5.92496	+	25.9589i	−0.288765	+	1.26516i	−0.886222	+	0.463261i	$0.846679\pi$
$422$	1.60844	+	4.37548i	0.0782975	+	0.212995i
$423$	−0.596116			−0.0289842
$424$	1.06776	+	0.971809i	0.0518550	+	0.0471952i
$425$	−4.04320	−	8.39580i	−0.196124	−	0.407256i
$426$	1.37542	−	2.26706i	0.0666393	−	0.109840i
$427$	−32.4965	+	3.36423i	−1.57262	+	0.162806i
$428$	10.8411	−	0.339871i	0.524023	−	0.0164283i
$429$	−6.30112	+	27.6070i	−0.304221	+	1.33288i
$430$	−0.110907	+	0.333633i	−0.00534840	+	0.0160892i
$431$	−10.0519	−	20.8729i	−0.484181	−	1.00541i	−0.989775	−	0.142641i	$-0.954441\pi$
$431$	−10.0519	−	20.8729i	−0.484181	−	1.00541i	0.505593	−	0.862772i	$-0.331274\pi$
$432$	−3.48809	+	1.95787i	−0.167821	+	0.0941981i
$433$	−0.810188	+	1.68237i	−0.0389351	+	0.0808497i	−0.919529	−	0.393022i	$-0.871430\pi$
$433$	−0.810188	+	1.68237i	−0.0389351	+	0.0808497i	0.880594	+	0.473872i	$0.157144\pi$
$434$	0.154609	+	23.3244i	0.00742148	+	1.11961i
$435$	0.0418868	+	0.0869788i	0.00200832	+	0.00417031i
$436$	32.7117	−	8.55296i	1.56661	−	0.409612i
$437$	−28.3170	+	6.46317i	−1.35459	+	0.309175i
$438$	−1.30914	+	13.5199i	−0.0625531	+	0.646005i
$439$	3.20537	−	4.01940i	0.152984	−	0.191836i	−0.699434	−	0.714698i	$-0.746564\pi$
$439$	3.20537	−	4.01940i	0.152984	−	0.191836i	0.852417	+	0.522862i	$0.175136\pi$
$440$	0.350179	−	0.620217i	0.0166941	−	0.0295677i
$441$	6.79521	+	1.68079i	0.323582	+	0.0800377i
$442$	−12.9730	+	4.76892i	−0.617064	+	0.226834i
$443$	−3.10497	−	2.47613i	−0.147522	−	0.117645i	0.546948	−	0.837167i	$-0.315790\pi$
$443$	−3.10497	−	2.47613i	−0.147522	−	0.117645i	−0.694470	+	0.719522i	$0.744361\pi$
$444$	−15.5781	+	4.07311i	−0.739302	+	0.193301i
$445$	−0.169852	−	0.744169i	−0.00805175	−	0.0352770i
$446$	22.1253	+	2.14240i	1.04766	+	0.101446i
$447$	−18.5181	+	8.91784i	−0.875876	+	0.421800i
$448$	−0.576087	+	21.1582i	−0.0272175	+	0.999630i
$449$	10.3399	+	4.97945i	0.487972	+	0.234995i	0.661657	−	0.749806i	$-0.269853\pi$
$449$	10.3399	+	4.97945i	0.487972	+	0.234995i	−0.173686	+	0.984801i	$0.555568\pi$
$450$	−6.04283	−	3.66616i	−0.284862	−	0.172825i
$451$	19.6525	−	9.46413i	0.925399	−	0.445649i
$452$	0.841692	+	26.8479i	0.0395898	+	1.26282i
$453$	−12.4520	−	2.84209i	−0.585047	−	0.133533i
$454$	−6.61207	+	19.8907i	−0.310320	+	0.933515i
$455$	−0.461233	+	0.452968i	−0.0216230	+	0.0212354i
$456$	10.1739	−	1.63362i	0.476438	−	0.0765011i
$457$	−28.5171	+	13.7331i	−1.33397	+	0.642408i	−0.958677	−	0.284496i	$-0.908174\pi$
$457$	−28.5171	+	13.7331i	−1.33397	+	0.642408i	−0.375297	+	0.926904i	$0.622459\pi$
$458$	−16.3211	+	2.09843i	−0.762637	+	0.0980532i
$459$		−	1.86454i		−	0.0870291i
$460$	−0.566310	+	0.481407i	−0.0264043	+	0.0224457i
$461$	20.9740	+	4.78718i	0.976857	+	0.222961i	0.681010	−	0.732274i	$-0.261541\pi$
$461$	20.9740	+	4.78718i	0.976857	+	0.222961i	0.295847	+	0.955235i	$0.404398\pi$
$462$	−18.1528	+	8.89064i	−0.844545	+	0.413630i
$463$	23.9768	−	5.47256i	1.11430	−	0.254331i	0.374545	−	0.927209i	$-0.377799\pi$
$463$	23.9768	−	5.47256i	1.11430	−	0.254331i	0.739754	+	0.672877i	$0.234942\pi$
$464$	8.26785	−	0.518911i	0.383826	−	0.0240898i
$465$	0.227188	−	0.181176i	0.0105356	−	0.00840185i
$466$	−12.8221	−	7.77913i	−0.593973	−	0.360361i
$467$	−1.15321	−	5.05255i	−0.0533643	−	0.233804i	0.941212	−	0.337818i	$-0.109689\pi$
$467$	−1.15321	−	5.05255i	−0.0533643	−	0.233804i	−0.994576	+	0.104013i	$0.966832\pi$
$468$	−6.27635	+	8.39716i	−0.290124	+	0.388159i
$469$	−8.19069	−	24.1046i	−0.378211	−	1.11304i
$470$	0.0389765	−	0.00501126i	0.00179785	−	0.000231152i
$471$		−	18.1640i		−	0.836954i
$472$	−4.63045	+	8.20120i	−0.213134	+	0.377491i
$473$	−6.41116	+	28.0891i	−0.294785	+	1.29154i
$474$	−6.51322	−	6.31223i	−0.299162	−	0.289930i
$475$	11.3523	+	14.2353i	0.520877	+	0.653159i
$476$	−8.46892	−	5.06157i	−0.388172	−	0.231996i
$477$	−0.318264	+	0.399091i	−0.0145723	+	0.0182731i
$478$	27.9910	−	3.59884i	1.28028	−	0.164607i
$479$	−7.24551	+	9.08558i	−0.331056	+	0.415131i	−0.919303	−	0.393550i	$-0.871247\pi$
$479$	−7.24551	+	9.08558i	−0.331056	+	0.415131i	0.588247	+	0.808681i	$0.299818\pi$
$480$	0.211606	−	0.157336i	0.00965846	−	0.00718138i
$481$	−32.9940	+	26.3118i	−1.50440	+	1.19972i
$482$	−2.54802	+	26.3141i	−0.116059	+	1.19858i
$483$	20.9815	−	2.17213i	0.954693	−	0.0988353i
$484$	14.7445	−	33.2437i	0.670206	−	1.51108i
$485$	0.255466	+	0.123026i	0.0116001	+	0.00558632i
$486$	−0.771078	−	1.18551i	−0.0349768	−	0.0537759i
$487$	4.05232	−	8.41473i	0.183628	−	0.381308i	−0.788752	−	0.614712i	$-0.789272\pi$
$487$	4.05232	−	8.41473i	0.183628	−	0.381308i	0.972380	+	0.233404i	$0.0749865\pi$
$488$	32.3875	−	13.0717i	1.46611	−	0.591729i
$489$		−	1.72823i		−	0.0781531i
$490$	−0.458428	−	0.0527729i	−0.0207097	−	0.00238404i
$491$			28.7183i			1.29604i	0.761623	+	0.648020i	$0.224403\pi$
$491$			28.7183i			1.29604i	−0.761623	+	0.648020i	$0.775597\pi$
$492$	8.07153	−	0.253046i	0.363893	−	0.0114082i
$493$	−1.67545	+	3.47910i	−0.0754584	+	0.156691i
$494$	22.6389	−	14.7248i	1.01857	−	0.662499i
$495$	0.226879	+	0.109259i	0.0101975	+	0.00491084i
$496$	−7.06051	−	23.9149i	−0.317026	−	1.07381i
$497$	4.22414	−	2.60123i	0.189479	−	0.116681i
$498$	6.75913	+	0.654491i	0.302884	+	0.0293284i
$499$	7.47416	−	5.96044i	0.334589	−	0.266826i	−0.441754	−	0.897136i	$-0.645644\pi$
$499$	7.47416	−	5.96044i	0.334589	−	0.266826i	0.776343	+	0.630310i	$0.217072\pi$
$500$	0.852034	+	0.377901i	0.0381041	+	0.0169002i
$501$	14.0591	−	17.6295i	0.628112	−	0.787628i
$502$	2.87987	+	22.3990i	0.128535	+	0.999716i
$503$	−24.9628	+	31.3024i	−1.11304	+	1.39570i	−0.204008	+	0.978969i	$0.565397\pi$
$503$	−24.9628	+	31.3024i	−1.11304	+	1.39570i	−0.909028	+	0.416735i	$0.863174\pi$
$504$	−7.47792	+	0.284063i	−0.333093	+	0.0126532i
$505$	0.152192	+	0.190842i	0.00677245	+	0.00849238i
$506$	−42.3895	+	43.7392i	−1.88444	+	1.94445i
$507$	−3.22126	+	14.1133i	−0.143061	+	0.626792i
$508$	−21.9526	−	25.8243i	−0.973991	−	1.14577i
$509$		−	21.8877i		−	0.970156i	−0.874471	−	0.485078i	$-0.838791\pi$
$509$		−	21.8877i		−	0.970156i	0.874471	−	0.485078i	$-0.161209\pi$
$510$	0.0156743	+	0.121911i	0.000694068	+	0.00539831i
$511$	−13.7138	+	21.3936i	−0.606664	+	0.946396i
$512$	−5.66890	−	21.9058i	−0.250532	−	0.968108i
$513$	0.810667	+	3.55176i	0.0357918	+	0.156814i
$514$	−10.3405	+	17.0440i	−0.456100	+	0.751777i
$515$	0.625527	−	0.498841i	0.0275640	−	0.0219816i
$516$	−6.38596	+	8.54381i	−0.281126	+	0.376120i
$517$	3.13958	−	0.716588i	0.138079	−	0.0315155i
$518$	−29.4121	−	6.50831i	−1.29229	−	0.285959i
$519$	−15.7733	−	3.60016i	−0.692373	−	0.158030i
$520$	0.339782	−	0.601803i	0.0149004	−	0.0263908i
$521$		−	23.6652i		−	1.03679i	−0.855141	−	0.518395i	$-0.826530\pi$
$521$		−	23.6652i		−	1.03679i	0.855141	−	0.518395i	$-0.173470\pi$
$522$	0.373495	+	2.90497i	0.0163475	+	0.127147i
$523$	−13.4207	+	6.46306i	−0.586846	+	0.282610i	−0.703652	−	0.710545i	$-0.748449\pi$
$523$	−13.4207	+	6.46306i	−0.586846	+	0.282610i	0.116806	+	0.993155i	$0.462734\pi$
$524$	0.766947	+	0.149934i	0.0335042	+	0.00654988i
$525$	−6.93355	−	11.2594i	−0.302605	−	0.491400i
$526$	−23.1035	−	7.68010i	−1.00736	−	0.334868i
$527$	11.3318	+	2.58641i	0.493621	+	0.112666i
$528$	16.0172	−	14.5046i	0.697061	−	0.631231i
$529$	36.5463	−	17.5997i	1.58897	−	0.765206i
$530$	0.0174544	−	0.0287697i	0.000758172	−	0.00124967i
$531$	−3.00005	−	1.44475i	−0.130191	−	0.0626967i
$532$	18.3331	+	5.95966i	0.794843	+	0.258384i
$533$	19.0690	−	9.18314i	0.825969	−	0.397766i
$534$	2.23195	−	23.0500i	0.0965857	−	0.997471i
$535$	−0.0562527	−	0.246459i	−0.00243201	−	0.0106554i
$536$	15.5467	+	22.3385i	0.671513	+	0.964874i
$537$	−0.192671	−	0.153650i	−0.00831437	−	0.00663049i
$538$	−0.603152	−	1.64077i	−0.0260037	−	0.0707388i
$539$	−37.8090	−	0.683774i	−1.62855	−	0.0294522i
$540$	0.0603822	+	0.0710315i	0.00259844	+	0.00305671i
$541$	16.8716	−	21.1564i	0.725368	−	0.909583i	−0.273261	−	0.961940i	$-0.588102\pi$
$541$	16.8716	−	21.1564i	0.725368	−	0.909583i	0.998628	+	0.0523575i	$0.0166735\pi$
$542$	12.5338	+	1.21366i	0.538373	+	0.0521310i
$543$	−7.27964	+	1.66153i	−0.312399	+	0.0713031i
$544$	10.1976	+	2.69368i	0.437221	+	0.115491i
$545$	−0.341919	−	0.710002i	−0.0146462	−	0.0304131i
$546$	−17.6138	+	8.62668i	−0.753803	+	0.369188i
$547$	17.0893	−	35.4864i	0.730687	−	1.51729i	−0.120665	−	0.992693i	$-0.538503\pi$
$547$	17.0893	−	35.4864i	0.730687	−	1.51729i	0.851352	−	0.524595i	$-0.175783\pi$
$548$	−10.2761	−	2.00893i	−0.438975	−	0.0858170i
$549$	5.35767	+	11.1253i	0.228660	+	0.474817i
$550$	36.2330	+	12.0446i	1.54498	+	0.513584i
$551$	1.67892	−	7.35581i	0.0715242	−	0.313368i
$552$	−20.9111	+	8.43982i	−0.890037	+	0.359223i
$553$	−5.45932	−	16.0664i	−0.232154	−	0.683211i
$554$	−3.54441	−	2.15038i	−0.150588	−	0.0913609i
$555$	0.162829	+	0.338119i	0.00691173	+	0.0143523i
$556$	−11.1341	−	21.3794i	−0.472192	−	0.906688i
$557$	−16.4411			−0.696631			−0.348315	−	0.937377i	$-0.613246\pi$
$557$	−16.4411			−0.696631			−0.348315	+	0.937377i	$0.613246\pi$
$558$	8.27460	−	3.04176i	0.350292	−	0.128768i
$559$	−6.22081	+	27.2551i	−0.263112	+	1.15277i
$560$	0.486549	−	0.0814364i	0.0205604	−	0.00344132i
$561$	2.24135	+	9.82000i	0.0946299	+	0.414601i
$562$	2.50659	+	3.85382i	0.105734	+	0.162564i
$563$	23.6382	+	29.6414i	0.996231	+	1.24923i	0.968343	+	0.249623i	$0.0803068\pi$
$563$	23.6382	+	29.6414i	0.996231	+	1.24923i	0.0278882	+	0.999611i	$0.491122\pi$
$564$	1.17008	+	0.228744i	0.0492694	+	0.00963188i
$565$	0.610356	−	0.139310i	0.0256779	−	0.00586080i
$566$	18.6191	+	28.6264i	0.782619	+	1.20326i
$567$	−0.272447	−	2.63169i	−0.0114417	−	0.110520i
$568$	−3.56966	+	3.92211i	−0.149780	+	0.164568i
$569$	−22.9076			−0.960337			−0.480168	−	0.877176i	$-0.659424\pi$
$569$	−22.9076			−0.960337			−0.480168	+	0.877176i	$0.659424\pi$
$570$	−0.0828626	−	0.225414i	−0.00347073	−	0.00944154i
$571$	9.81062	+	2.23921i	0.410562	+	0.0937080i	0.422813	−	0.906217i	$-0.361043\pi$
$571$	9.81062	+	2.23921i	0.410562	+	0.0937080i	−0.0122513	+	0.999925i	$0.503900\pi$
$572$	22.9616	−	51.7703i	0.960072	−	2.16463i
$573$	0.949234	−	0.756989i	0.0396548	−	0.0316237i
$574$	13.6549	+	6.46469i	0.569943	+	0.269831i
$575$	−31.1528	−	24.8436i	−1.29916	−	1.03605i
$576$	7.59785	−	2.50453i	0.316577	−	0.104355i
$577$	−1.75522	−	1.39974i	−0.0730708	−	0.0582720i	0.586273	−	0.810113i	$-0.300594\pi$
$577$	−1.75522	−	1.39974i	−0.0730708	−	0.0582720i	−0.659344	+	0.751841i	$0.729166\pi$
$578$	13.3099	−	13.7337i	0.553620	−	0.571249i
$579$	6.25751	+	7.84667i	0.260053	+	0.326096i
$580$	−0.0488413	−	0.186799i	−0.00202802	−	0.00775639i
$581$	10.6955	+	6.85609i	0.443724	+	0.284438i
$582$	6.17740	+	5.98678i	0.256062	+	0.248160i
$583$	1.19646	−	2.48449i	0.0495525	−	0.102897i
$584$	7.75755	−	26.0351i	0.321010	−	1.07734i
$585$	0.220143	+	0.106015i	0.00910180	+	0.00438320i
$586$	28.8528	+	9.59127i	1.19190	+	0.396212i
$587$	26.2199			1.08221			0.541105	−	0.840955i	$-0.318006\pi$
$587$	26.2199			1.08221			0.541105	+	0.840955i	$0.318006\pi$
$588$	−12.6930	−	5.90662i	−0.523450	−	0.243585i
$589$	−22.7105			−0.935770
$590$	0.208301	+	0.0692435i	0.00857560	+	0.00285071i
$591$	−9.93103	−	4.78253i	−0.408508	−	0.196727i
$592$	32.1402	−	2.01720i	1.32096	−	0.0829064i
$593$	−17.4668	+	36.2702i	−0.717276	+	1.48944i	0.148450	+	0.988920i	$0.452572\pi$
$593$	−17.4668	+	36.2702i	−0.717276	+	1.48944i	−0.865726	+	0.500519i	$0.833143\pi$
$594$	5.48615	+	5.31686i	0.225100	+	0.218153i
$595$	−0.0779076	+	0.216352i	−0.00319390	+	0.00886958i
$596$	39.7701	−	10.3985i	1.62905	−	0.425939i
$597$	4.99223	+	6.26006i	0.204318	+	0.256207i
$598$	−41.1309	+	42.4406i	−1.68197	+	1.73553i
$599$	−1.44658	−	1.15361i	−0.0591057	−	0.0471352i	0.593491	−	0.804840i	$-0.297749\pi$
$599$	−1.44658	−	1.15361i	−0.0591057	−	0.0471352i	−0.652597	+	0.757705i	$0.726321\pi$
$600$	10.4543	+	9.51489i	0.426796	+	0.388444i
$601$	−22.6368	−	18.0522i	−0.923373	−	0.736365i	0.0414847	−	0.999139i	$-0.486791\pi$
$601$	−22.6368	−	18.0522i	−0.923373	−	0.736365i	−0.964857	+	0.262774i	$0.915363\pi$
$602$	−17.9215	+	8.77733i	−0.730424	+	0.357737i
$603$	−7.52300	+	5.99939i	−0.306360	+	0.244314i
$604$	23.3508	+	10.3567i	0.950130	+	0.421409i
$605$	−0.826352	−	0.188609i	−0.0335960	−	0.00766806i
$606$	2.55514	+	6.95083i	0.103796	+	0.282358i
$607$	−14.8862			−0.604213			−0.302107	−	0.953274i	$-0.597690\pi$
$607$	−14.8862			−0.604213			−0.302107	+	0.953274i	$0.597690\pi$
$608$	−20.5967	−	0.697454i	−0.835307	−	0.0282855i
$609$	−1.85643	+	5.15537i	−0.0752263	+	0.208906i
$610$	−0.443832	−	0.682379i	−0.0179702	−	0.0276287i
$611$	3.04636	−	0.695313i	0.123243	−	0.0281293i
$612$	−0.715469	+	3.65980i	−0.0289211	+	0.147938i
$613$	−17.9532	−	22.5126i	−0.725122	−	0.909275i	0.273493	−	0.961874i	$-0.411821\pi$
$613$	−17.9532	−	22.5126i	−0.725122	−	0.909275i	−0.998616	+	0.0525992i	$0.983249\pi$
$614$	−1.29909	−	1.99731i	−0.0524269	−	0.0806050i
$615$	−0.0418820	−	0.183497i	−0.00168884	−	0.00739931i
$616$	39.0427	−	10.4853i	1.57307	−	0.422463i
$617$	−2.68207	+	11.7509i	−0.107976	+	0.473074i	0.891810	+	0.452410i	$0.149435\pi$
$617$	−2.68207	+	11.7509i	−0.107976	+	0.473074i	−0.999786	+	0.0206649i	$0.993422\pi$
$618$	22.7828	−	8.37502i	0.916460	−	0.336893i
$619$	−31.9913			−1.28584			−0.642919	−	0.765934i	$-0.722277\pi$
$619$	−31.9913			−1.28584			−0.642919	+	0.765934i	$0.722277\pi$
$620$	−0.515456	+	0.268443i	−0.0207012	+	0.0107809i
$621$	−3.45921	−	7.18312i	−0.138813	−	0.288249i
$622$	33.0459	+	20.0488i	1.32502	+	0.803885i
$623$	23.3806	−	36.4738i	0.936726	−	1.46129i
$624$	15.5417	−	14.0739i	0.622165	−	0.563408i
$625$	−5.55577	+	24.3414i	−0.222231	+	0.973657i
$626$	21.8512	+	7.26378i	0.873348	+	0.290319i
$627$	−8.53912	−	17.7317i	−0.341020	−	0.708134i
$628$	−6.96998	+	35.6531i	−0.278133	+	1.42272i
$629$	−6.51309	+	13.5246i	−0.259694	+	0.539260i
$630$	0.0399370	+	0.169780i	0.00159113	+	0.00676419i
$631$	0.432844	+	0.898809i	0.0172312	+	0.0357810i	0.909407	−	0.415908i	$-0.136536\pi$
$631$	0.432844	+	0.898809i	0.0172312	+	0.0357810i	−0.892176	+	0.451689i	$0.850822\pi$
$632$	10.3623	+	14.8892i	0.412189	+	0.592261i
$633$	3.21371	−	0.733508i	0.127733	−	0.0291543i
$634$	24.4206	+	2.36466i	0.969865	+	0.0939127i
$635$	−0.492540	+	0.617625i	−0.0195458	+	0.0245097i
$636$	0.777844	−	0.661227i	0.0308435	−	0.0262194i
$637$	−36.6864	−	0.663473i	−1.45357	−	0.0262878i
$638$	−5.45915	−	14.8507i	−0.216130	−	0.587944i
$639$	−1.46595	−	1.16905i	−0.0579919	−	0.0462470i
$640$	−0.475724	+	0.227628i	−0.0188046	+	0.00899777i
$641$	−1.09975	−	4.81831i	−0.0434374	−	0.190312i	0.948554	−	0.316614i	$-0.102546\pi$
$641$	−1.09975	−	4.81831i	−0.0434374	−	0.190312i	−0.991992	+	0.126303i	$0.959689\pi$
$642$	0.739191	−	7.63385i	0.0291735	−	0.301284i
$643$	−10.1570	+	4.89137i	−0.400555	+	0.192897i	−0.623305	−	0.781978i	$-0.714211\pi$
$643$	−10.1570	+	4.89137i	−0.400555	+	0.192897i	0.222751	+	0.974875i	$0.428496\pi$
$644$	−42.0170	−	3.78758i	−1.65570	−	0.149252i
$645$	0.223988	+	0.107867i	0.00881951	+	0.00424725i
$646$	4.98280	−	8.21300i	0.196046	−	0.323136i
$647$	−20.6885	+	9.96305i	−0.813349	+	0.391688i	−0.793844	−	0.608122i	$-0.791923\pi$
$647$	−20.6885	+	9.96305i	−0.813349	+	0.391688i	−0.0195048	+	0.999810i	$0.506209\pi$
$648$	1.05860	+	2.62286i	0.0415855	+	0.103036i
$649$	17.5372	+	4.00274i	0.688394	+	0.157121i
$650$	35.1572	+	11.6870i	1.37898	+	0.458402i
$651$	16.3721	+	1.99476i	0.641673	+	0.0781807i
$652$	−0.663163	+	3.39224i	−0.0259715	+	0.132850i
$653$	−30.0701	+	14.4810i	−1.17673	+	0.566685i	−0.916958	−	0.398985i	$-0.869363\pi$
$653$	−30.0701	+	14.4810i	−1.17673	+	0.566685i	−0.259775	+	0.965669i	$0.583648\pi$
$654$	−3.04882	−	23.7131i	−0.119218	−	0.927254i
$655$		−	0.0182136i		−	0.000711665i
$656$	−15.9403	−	2.60056i	−0.622362	−	0.101535i
$657$	9.36391	+	2.13725i	0.365321	+	0.0833821i
$658$	1.75303	+	1.37908i	0.0683400	+	0.0537622i
$659$	16.5044	−	3.76703i	0.642922	−	0.146743i	0.111384	−	0.993777i	$-0.464472\pi$
$659$	16.5044	−	3.76703i	0.642922	−	0.146743i	0.531537	+	0.847035i	$0.321614\pi$
$660$	−0.403403	−	0.301518i	−0.0157024	−	0.0117366i
$661$	−17.1836	+	13.7034i	−0.668364	+	0.533002i	−0.897845	−	0.440311i	$-0.854868\pi$
$661$	−17.1836	+	13.7034i	−0.668364	+	0.533002i	0.229482	+	0.973313i	$0.426297\pi$
$662$	11.8120	−	19.4693i	0.459085	−	0.756697i
$663$	2.17481	+	9.52845i	0.0844625	+	0.370054i
$664$	−13.0160	−	3.87831i	−0.505118	−	0.150508i
$665$	0.0543405	−	0.446003i	0.00210723	−	0.0172953i
$666$	1.45192	+	11.2927i	0.0562606	+	0.437583i
$667$			16.5116i			0.639332i
$668$	−34.3606	+	29.2091i	−1.32945	+	1.13014i
$669$	3.49760	−	15.3240i	0.135225	−	0.592460i
$670$	0.441450	−	0.455506i	0.0170547	−	0.0175977i
$671$	−41.5911	−	52.1536i	−1.60561	−	2.01337i
$672$	14.7870	+	2.31189i	0.570421	+	0.0891831i
$673$	−13.2490	+	16.6138i	−0.510713	+	0.640414i	−0.968608	−	0.248592i	$-0.920032\pi$
$673$	−13.2490	+	16.6138i	−0.510713	+	0.640414i	0.457895	+	0.889006i	$0.348604\pi$
$674$	−5.83048	−	45.3482i	−0.224582	−	1.74675i
$675$	−3.11609	+	3.90746i	−0.119939	+	0.150398i
$676$	11.7384	−	26.4661i	0.451479	−	1.01793i
$677$	4.67935	−	3.73166i	0.179842	−	0.143419i	−0.529431	−	0.848353i	$-0.677595\pi$
$677$	4.67935	−	3.73166i	0.179842	−	0.143419i	0.709273	+	0.704934i	$0.249023\pi$
$678$	18.9052	+	1.83061i	0.726051	+	0.0703040i
$679$	5.17784	+	15.2380i	0.198707	+	0.584780i
$680$	0.0160141	−	0.245307i	0.000614114	−	0.00940709i
$681$	13.3538	+	6.43084i	0.511718	+	0.246430i
$682$	−39.9236	+	25.9670i	−1.52875	+	0.994328i
$683$	7.36978	−	15.3035i	0.281997	−	0.585573i	−0.711070	−	0.703121i	$-0.751789\pi$
$683$	7.36978	−	15.3035i	0.281997	−	0.585573i	0.993067	+	0.117548i	$0.0375035\pi$
$684$	−0.228313	−	7.28263i	−0.00872977	−	0.278458i
$685$			0.244040i			0.00932429i
$686$	−16.0946	−	20.6631i	−0.614494	−	0.788922i
$687$			11.6358i			0.443933i
$688$	15.8131	−	14.3197i	0.602869	−	0.545934i
$689$	1.16094	−	2.41072i	0.0442284	−	0.0918411i
$690$	0.286562	+	0.440581i	0.0109092	+	0.0167726i
$691$	−45.7148	−	22.0151i	−1.73907	−	0.837494i	−0.983142	−	0.182845i	$-0.941469\pi$
$691$	−45.7148	−	22.0151i	−1.73907	−	0.837494i	−0.755933	−	0.654649i	$-0.772816\pi$
$692$	29.5791	+	13.1192i	1.12443	+	0.498716i
$693$	4.59844	+	13.5329i	0.174680	+	0.514071i
$694$	−3.12545	+	32.2775i	−0.118640	+	1.22524i
$695$	−0.439244	+	0.350285i	−0.0166615	+	0.0132871i
$696$	0.381594	−	5.84532i	0.0144643	−	0.221566i
$697$	4.69396	−	5.88604i	0.177797	−	0.222950i
$698$	23.8131	−	3.06168i	0.901338	−	0.115886i
$699$	−6.61196	+	8.29113i	−0.250087	+	0.313599i
$700$	9.28896	+	24.7610i	0.351090	+	0.935878i
$701$	23.1859	+	29.0742i	0.875719	+	1.09812i	0.994452	+	0.105191i	$0.0335453\pi$
$701$	23.1859	+	29.0742i	0.875719	+	1.09812i	−0.118733	+	0.992926i	$0.537883\pi$
$702$	5.32327	+	5.15900i	0.200914	+	0.194714i
$703$	6.52657	−	28.5948i	0.246154	−	1.07847i
$704$	−37.0051	+	22.3240i	−1.39468	+	0.841368i
$705$		−	0.0277874i		−	0.00104653i
$706$	38.8298	−	4.99240i	1.46138	−	0.187891i
$707$	−1.67564	+	13.7529i	−0.0630188	+	0.517231i
$708$	5.33424	+	3.98701i	0.200473	+	0.149841i
$709$	0.372392	+	1.63155i	0.0139855	+	0.0612743i	0.981439	−	0.191774i	$-0.0614240\pi$
$709$	0.372392	+	1.63155i	0.0139855	+	0.0612743i	−0.967454	+	0.253048i	$0.918567\pi$
$710$	0.105677	+	0.0641139i	0.00396599	+	0.00240615i
$711$	−5.01428	+	3.99876i	−0.188050	+	0.149965i
$712$	−13.2258	+	44.3871i	−0.495658	+	1.66348i
$713$	48.4541	−	11.0593i	1.81462	−	0.414176i
$714$	−4.31350	+	5.48313i	−0.161429	+	0.205201i
$715$	−1.28687	−	0.293721i	−0.0481264	−	0.0109845i
$716$	0.319224	+	0.375523i	0.0119299	+	0.0140340i
$717$		−	19.9555i		−	0.745253i
$718$	−41.2279	+	5.30073i	−1.53861	+	0.197821i
$719$	22.6809	−	10.9226i	0.845856	−	0.407343i	0.0398186	−	0.999207i	$-0.487322\pi$
$719$	22.6809	−	10.9226i	0.845856	−	0.407343i	0.806038	+	0.591864i	$0.201608\pi$
$720$	−0.0912643	−	0.162594i	−0.00340122	−	0.00605951i
$721$	45.0781	+	5.49226i	1.67879	+	0.204542i
$722$	2.55523	−	7.68674i	0.0950959	−	0.286071i
$723$	18.2252	+	4.15979i	0.677804	+	0.154704i
$724$	14.9264	−	0.467947i	0.554734	−	0.0173911i
$725$	9.32562	−	4.49098i	0.346345	−	0.166791i
$726$	−21.9854	−	13.3385i	−0.815955	−	0.495037i
$727$	−6.48005	−	3.12063i	−0.240332	−	0.115738i	0.309842	−	0.950788i	$-0.399724\pi$
$727$	−6.48005	−	3.12063i	−0.240332	−	0.115738i	−0.550173	+	0.835051i	$0.685438\pi$
$728$	37.8835	−	10.1739i	1.40406	−	0.377072i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	−0.630217	−	0.0610243i	−0.0233254	−	0.00225861i
$731$	2.21279	+	9.69485i	0.0818429	+	0.358577i
$732$	−6.24722	−	23.8931i	−0.230904	−	0.883116i
$733$	−15.3744	−	12.2607i	−0.567868	−	0.452859i	0.296987	−	0.954881i	$-0.404018\pi$
$733$	−15.3744	−	12.2607i	−0.567868	−	0.452859i	−0.864855	+	0.502022i	$0.832590\pi$
$734$	7.64034	−	2.80861i	0.282010	−	0.103668i
$735$	−0.0783486	+	0.316753i	−0.00288993	+	0.0116836i
$736$	44.2839	−	8.54193i	1.63232	−	0.314860i
$737$	32.4097	−	40.6405i	1.19383	−	1.49701i
$738$	0.550352	−	5.68366i	0.0202587	−	0.209218i
$739$	−24.7658	+	5.65262i	−0.911023	+	0.207935i	−0.652251	−	0.758003i	$-0.726175\pi$
$739$	−24.7658	+	5.65262i	−0.911023	+	0.207935i	−0.258772	+	0.965938i	$0.583318\pi$
$740$	−0.189864	−	0.726156i	−0.00697955	−	0.0266940i
$741$	−8.28559	−	17.2052i	−0.304379	−	0.632049i
$742$	1.85921	−	0.437338i	0.0682537	−	0.0160552i
$743$	−17.6325	+	36.6143i	−0.646874	+	1.34325i	0.277117	+	0.960836i	$0.410621\pi$
$743$	−17.6325	+	36.6143i	−0.646874	+	1.34325i	−0.923992	+	0.382413i	$0.875093\pi$
$744$	−17.4090	+	2.79534i	−0.638243	+	0.102482i
$745$	−0.415697	−	0.863204i	−0.0152300	−	0.0316253i
$746$	−7.49233	+	22.5387i	−0.274314	+	0.825200i
$747$	1.06850	−	4.68139i	0.0390942	−	0.171283i
$748$	−0.631246	−	20.1352i	−0.0230806	−	0.736216i
$749$	7.74336	−	12.0796i	0.282936	−	0.441381i
$750$	0.341864	−	0.563484i	0.0124831	−	0.0205755i
$751$	11.5481	+	23.9798i	0.421396	+	0.875037i	0.998303	+	0.0582276i	$0.0185449\pi$
$751$	11.5481	+	23.9798i	0.421396	+	0.875037i	−0.576908	+	0.816809i	$0.695741\pi$
$752$	−2.20891	−	0.897979i	−0.0805508	−	0.0327459i
$753$	15.9689			0.581938
$754$	−5.29706	−	14.4098i	−0.192908	−	0.524773i
$755$	0.132481	−	0.580439i	0.00482149	−	0.0211243i
$756$	−0.475071	+	5.27013i	−0.0172782	+	0.191673i
$757$	−6.96186	−	30.5019i	−0.253033	−	1.10861i	−0.928533	−	0.371250i	$-0.878929\pi$
$757$	−6.96186	−	30.5019i	−0.253033	−	1.10861i	0.675500	−	0.737360i	$-0.263928\pi$
$758$	−6.65057	+	4.32565i	−0.241560	+	0.157115i
$759$	26.8535	+	33.6732i	0.974720	+	1.22226i
$760$	0.0761495	+	0.474248i	0.00276223	+	0.0172028i
$761$	8.29894	−	1.89418i	0.300836	−	0.0686639i	−0.0694384	−	0.997586i	$-0.522121\pi$
$761$	8.29894	−	1.89418i	0.300836	−	0.0686639i	0.370275	+	0.928922i	$0.379264\pi$
$762$	−20.0910	+	13.0675i	−0.727819	+	0.473386i
$763$	15.1539	−	42.0829i	0.548608	−	1.52350i
$764$	−2.15367	+	1.12161i	−0.0779172	+	0.0405783i
$765$	0.0869137			0.00314237
$766$	19.3083	−	7.09776i	0.697636	−	0.256453i
$767$	17.0165	+	3.88390i	0.614429	+	0.140239i
$768$	−15.8744	+	2.00052i	−0.572820	+	0.0721875i
$769$	−1.66663	+	1.32909i	−0.0601002	+	0.0479283i	−0.653079	−	0.757290i	$-0.726523\pi$
$769$	−1.66663	+	1.32909i	−0.0601002	+	0.0479283i	0.592979	+	0.805218i	$0.297952\pi$
$770$	−0.414429	−	0.846176i	−0.0149350	−	0.0304941i
$771$	11.0211	+	8.78903i	0.396915	+	0.316529i
$772$	−9.27155	−	17.8029i	−0.333691	−	0.640742i
$773$	30.6234	+	24.4214i	1.10145	+	0.878376i	0.993278	−	0.115757i	$-0.0369293\pi$
$773$	30.6234	+	24.4214i	1.10145	+	0.878376i	0.108171	+	0.994132i	$0.465501\pi$
$774$	5.41623	+	5.24909i	0.194683	+	0.188675i
$775$	−19.4252	−	24.3585i	−0.697774	−	0.874981i
$776$	−9.82801	−	14.1215i	−0.352805	−	0.506933i
$777$	−7.21663	+	20.0408i	−0.258895	+	0.718961i
$778$	−25.4506	+	26.2610i	−0.912449	+	0.941503i
$779$	−6.38240	+	13.2532i	−0.228673	+	0.474845i
$780$	−0.391426	−	0.292566i	−0.0140153	−	0.0104755i
$781$	9.12604	+	4.39487i	0.326555	+	0.157261i
$782$	−6.63159	+	19.9494i	−0.237145	+	0.713388i
$783$	2.07103			0.0740126
$784$	22.6478	+	16.4644i	0.808851	+	0.588014i
$785$	0.846699			0.0302200
$786$	0.174310	−	0.524366i	0.00621744	−	0.0187035i
$787$	−18.9556	−	9.12855i	−0.675695	−	0.325398i	0.0643766	−	0.997926i	$-0.479494\pi$
$787$	−18.9556	−	9.12855i	−0.675695	−	0.325398i	−0.740072	+	0.672528i	$0.765208\pi$
$788$	17.6579	+	13.1981i	0.629036	+	0.470165i
$789$	−7.46959	+	15.5108i	−0.265925	+	0.552198i
$790$	0.294239	−	0.303608i	0.0104685	−	0.0108019i
$791$	29.9152	+	19.1764i	1.06366	+	0.681835i
$792$	−8.72825	−	12.5413i	−0.310145	−	0.445637i
$793$	−40.3563	−	50.6051i	−1.43309	−	1.79704i
$794$	−2.17926	−	2.11201i	−0.0773392	−	0.0749525i
$795$	−0.0186032	−	0.0148356i	−0.000659789	−	0.000526164i
$796$	−7.39683	−	14.2032i	−0.262174	−	0.503418i
$797$	15.5029	+	12.3631i	0.549141	+	0.437925i	0.858347	−	0.513070i	$-0.171492\pi$
$797$	15.5029	+	12.3631i	0.549141	+	0.437925i	−0.309206	+	0.950995i	$0.600063\pi$
$798$	5.83284	−	12.3203i	0.206480	−	0.436133i
$799$	0.868991	−	0.692997i	0.0307427	−	0.0245165i
$800$	−16.8691	−	22.6878i	−0.596414	−	0.802136i
$801$	−15.9645	−	3.64379i	−0.564077	−	0.128747i
$802$	52.1586	−	19.1736i	1.84178	−	0.677044i
$803$	−51.8863			−1.83103
$804$	17.0686	−	8.88910i	0.601962	−	0.313495i
$805$	0.101252	+	0.978034i	0.00356865	+	0.0344712i
$806$	−38.7382	+	25.1960i	−1.36450	+	0.887492i
$807$	−1.20512	+	0.275060i	−0.0424221	+	0.00968257i
$808$	−2.34814	−	14.6239i	−0.0826072	−	0.514466i
$809$	17.7158	+	22.2149i	0.622855	+	0.781035i	0.988743	−	0.149624i	$-0.0478062\pi$
$809$	17.7158	+	22.2149i	0.622855	+	0.781035i	−0.365888	+	0.930659i	$0.619235\pi$
$810$	0.0552615	−	0.0359431i	0.00194169	−	0.00126291i
$811$	−2.47392	−	10.8389i	−0.0868710	−	0.380607i	0.912739	−	0.408544i	$-0.133963\pi$
$811$	−2.47392	−	10.8389i	−0.0868710	−	0.380607i	−0.999610	+	0.0279372i	$0.991106\pi$
$812$	5.62212	−	9.40683i	0.197298	−	0.330115i
$813$	1.98137	−	8.68095i	0.0694897	−	0.304454i
$814$	−21.2217	−	57.7302i	−0.743822	−	2.02344i
$815$	0.0805596			0.00282188
$816$	2.80871	−	6.90906i	0.0983244	−	0.241866i
$817$	−8.43029	−	17.5057i	−0.294939	−	0.612446i
$818$	−13.2678	+	21.8690i	−0.463899	+	0.764631i
$819$	4.46191	+	13.1311i	0.155912	+	0.458837i
$820$	0.0117955	+	0.376247i	0.000411916	+	0.0131391i
$821$	−3.26155	+	14.2898i	−0.113829	+	0.498717i	0.885585	+	0.464478i	$0.153758\pi$
$821$	−3.26155	+	14.2898i	−0.113829	+	0.498717i	−0.999414	+	0.0342391i	$0.989099\pi$
$822$	−2.33554	+	7.02585i	−0.0814613	+	0.245055i
$823$	8.51063	+	17.6725i	0.296662	+	0.616025i	0.995015	−	0.0997290i	$-0.0317976\pi$
$823$	8.51063	+	17.6725i	0.296662	+	0.616025i	−0.698353	+	0.715754i	$0.746083\pi$
$824$	−47.9329	+	7.69653i	−1.66982	+	0.268121i
$825$	11.7145	−	24.3253i	0.407846	−	0.846900i
$826$	5.48004	+	11.1891i	0.190675	+	0.389318i
$827$	−9.66170	−	20.0627i	−0.335970	−	0.697650i	0.662717	−	0.748870i	$-0.269403\pi$
$827$	−9.66170	−	20.0627i	−0.335970	−	0.697650i	−0.998687	+	0.0512202i	$0.983689\pi$
$828$	4.03354	+	15.4267i	0.140175	+	0.536116i
$829$	−8.98641	+	2.05109i	−0.312111	+	0.0712373i	−0.375707	−	0.926738i	$-0.622600\pi$
$829$	−8.98641	+	2.05109i	−0.312111	+	0.0712373i	0.0635963	+	0.997976i	$0.479743\pi$
$830$	−0.0305085	+	0.315070i	−0.00105896	+	0.0109363i
$831$	−1.82774	+	2.29191i	−0.0634036	+	0.0795055i
$832$	−35.9064	+	21.6612i	−1.24483	+	0.750967i
$833$	−11.8597	+	5.44939i	−0.410914	+	0.188810i
$834$	−15.9981	+	5.88092i	−0.553968	+	0.203640i
$835$	0.821782	+	0.655350i	0.0284389	+	0.0226793i
$836$	9.95688	+	38.0812i	0.344366	+	1.31706i
$837$	−1.38716	−	6.07754i	−0.0479472	−	0.210071i
$838$	3.45696	+	0.334739i	0.119419	+	0.0115634i
$839$	−15.2003	+	7.32006i	−0.524772	+	0.252717i	−0.677462	−	0.735557i	$-0.736920\pi$
$839$	−15.2003	+	7.32006i	−0.524772	+	0.252717i	0.152691	+	0.988274i	$0.451206\pi$
$840$	−0.0132413	−	0.348576i	−0.000456870	−	0.0120270i
$841$	22.2637	+	10.7216i	0.767713	+	0.369711i
$842$	−32.1939	−	19.5319i	−1.10948	−	0.673114i
$843$	2.92884	−	1.41045i	0.100875	−	0.0485786i
$844$	−6.58947	+	0.206582i	−0.226819	+	0.00711086i
$845$	−0.657877	−	0.150156i	−0.0226317	−	0.00516553i
$846$	0.265934	−	0.799992i	0.00914301	−	0.0275043i
$847$	−25.2261	−	40.9646i	−0.866778	−	1.40756i
$848$	−1.78052	+	0.999407i	−0.0611431	+	0.0343198i
$849$	21.7556	−	10.4769i	0.746649	−	0.359567i
$850$	13.0709	−	1.68055i	0.448330	−	0.0576423i
$851$			64.1868i			2.20030i
$852$	2.42883	+	2.85719i	0.0832102	+	0.0978856i
$853$	−18.4617	−	4.21376i	−0.632117	−	0.144277i	−0.105555	−	0.994413i	$-0.533662\pi$
$853$	−18.4617	−	4.21376i	−0.632117	−	0.144277i	−0.526562	+	0.850137i	$0.676519\pi$
$854$	9.98226	−	45.1114i	0.341586	−	1.54368i
$855$	−0.165562	+	0.0377885i	−0.00566211	+	0.00129234i
$856$	−4.38021	+	14.7004i	−0.149713	+	0.502450i
$857$	−10.1402	+	8.08654i	−0.346383	+	0.276231i	−0.781191	−	0.624292i	$-0.785388\pi$
$857$	−10.1402	+	8.08654i	−0.346383	+	0.276231i	0.434808	+	0.900523i	$0.356816\pi$
$858$	−34.2378	−	20.7719i	−1.16886	−	0.709142i
$859$	−6.47302	−	28.3602i	−0.220857	−	0.967637i	−0.956835	−	0.290632i	$-0.906135\pi$
$859$	−6.47302	−	28.3602i	−0.220857	−	0.967637i	0.735978	−	0.677005i	$-0.236723\pi$
$860$	−0.398262	−	0.297675i	−0.0135806	−	0.0101506i
$861$	5.76519	−	8.99369i	0.196477	−	0.306504i
$862$	32.4959	−	4.17803i	1.10681	−	0.142304i
$863$			5.24143i			0.178420i	0.996013	+	0.0892101i	$0.0284343\pi$
$863$			5.24143i			0.178420i	−0.996013	+	0.0892101i	$0.971566\pi$
$864$	−1.07140	−	5.55447i	−0.0364499	−	0.188967i
$865$	0.167818	−	0.735259i	0.00570599	−	0.0249996i
$866$	−1.89632	−	1.83780i	−0.0644397	−	0.0624511i
$867$	−8.43176	−	10.5731i	−0.286358	−	0.359081i
$868$	−31.3704	−	10.1978i	−1.06478	−	0.346135i
$869$	21.6020	−	27.0880i	0.732796	−	0.918898i
$870$	−0.135412	+	0.0174101i	−0.00459091	+	0.000590259i
$871$	31.4475	−	39.4339i	1.06556	−	1.33617i
$872$	−3.11493	+	47.7149i	−0.105485	+	1.61583i
$873$	4.75575	−	3.79259i	0.160958	−	0.128360i
$874$	3.95891	−	40.8849i	0.133912	−	1.38295i
$875$	1.04992	−	0.646542i	0.0354938	−	0.0218571i
$876$	−17.5598	−	7.78825i	−0.593290	−	0.263141i
$877$	−35.0391	−	16.8739i	−1.18319	−	0.569792i	−0.264348	−	0.964427i	$-0.585157\pi$
$877$	−35.0391	−	16.8739i	−1.18319	−	0.569792i	−0.918838	+	0.394635i	$0.870871\pi$
$878$	3.96412	+	6.09473i	0.133782	+	0.205687i
$879$	9.32838	−	19.3706i	0.314638	−	0.653354i
$880$	0.676117	+	0.746629i	0.0227919	+	0.0251688i
$881$		−	33.8683i		−	1.14105i	−0.821279	−	0.570526i	$-0.806739\pi$
$881$		−	33.8683i		−	1.14105i	0.821279	−	0.570526i	$-0.193261\pi$
$882$	−5.28706	+	8.36941i	−0.178025	+	0.281813i
$883$			41.3383i			1.39114i	0.718457	+	0.695571i	$0.244849\pi$
$883$			41.3383i			1.39114i	−0.718457	+	0.695571i	$0.755151\pi$
$884$	−0.612504	−	19.5374i	−0.0206007	−	0.657113i
$885$	0.0673456	−	0.139844i	0.00226380	−	0.00470082i
$886$	4.70815	−	3.06227i	0.158173	−	0.102879i
$887$	−2.47038	−	1.18967i	−0.0829474	−	0.0399454i	0.391950	−	0.919986i	$-0.371801\pi$
$887$	−2.47038	−	1.18967i	−0.0829474	−	0.0399454i	−0.474897	+	0.880041i	$0.657515\pi$
$888$	1.48340	−	22.7229i	0.0497796	−	0.762532i
$889$	−44.5994	+	4.61719i	−1.49582	+	0.154855i
$890$	1.07445	+	0.104040i	0.0360158	+	0.00348743i
$891$	4.22358	−	3.36820i	0.141495	−	0.112839i
$892$	−12.7454	+	28.7365i	−0.426749	+	0.962170i
$893$	−1.35404	+	1.69791i	−0.0453113	+	0.0568185i
$894$	−3.70668	−	28.8298i	−0.123970	−	0.964212i
$895$	0.00716225	−	0.00898118i	0.000239408	−	0.000300208i
$896$	−28.1374	−	10.2120i	−0.940005	−	0.341159i
$897$	26.0562	+	32.6734i	0.869991	+	1.09093i
$898$	−11.2952	+	11.6549i	−0.376926	+	0.388928i
$899$	−2.87285	+	12.5868i	−0.0958149	+	0.419792i
$900$	7.61579	−	6.47401i	0.253860	−	0.215800i
$901$		−	0.951765i		−	0.0317079i
$902$	3.93374	+	30.5958i	0.130979	+	1.01873i
$903$	4.53984	+	13.3604i	0.151076	+	0.444606i
$904$	−36.4056	−	10.8476i	−1.21083	−	0.360786i
$905$	−0.0774506	−	0.339333i	−0.00257455	−	0.0112798i
$906$	9.36909	−	15.4428i	0.311267	−	0.513053i
$907$	−22.9412	+	18.2950i	−0.761750	+	0.607476i	−0.925378	−	0.379047i	$-0.876252\pi$
$907$	−22.9412	+	18.2950i	−0.761750	+	0.607476i	0.163627	+	0.986522i	$0.447681\pi$
$908$	−23.7437	−	17.7469i	−0.787962	−	0.588952i
$909$	5.10525	−	1.16524i	0.169331	−	0.0386486i
$910$	−0.402124	−	0.821053i	−0.0133303	−	0.0272176i
$911$	−10.5414	−	2.40601i	−0.349252	−	0.0797146i	0.0442961	−	0.999018i	$-0.485896\pi$
$911$	−10.5414	−	2.40601i	−0.349252	−	0.0797146i	−0.393548	+	0.919304i	$0.628753\pi$
$912$	−2.34638	+	14.3823i	−0.0776965	+	0.476245i
$913$			25.9400i			0.858490i
$914$	−5.70814	−	44.3967i	−0.188809	−	1.46851i
$915$	−0.518597	+	0.249743i	−0.0171443	+	0.00825625i
$916$	4.46494	−	22.8392i	0.147526	−	0.754629i
$917$	0.737573	−	0.724354i	0.0243568	−	0.0239203i
$918$	2.50222	+	0.831791i	0.0825857	+	0.0274532i
$919$	13.8788	+	3.16776i	0.457821	+	0.104495i	0.445211	−	0.895426i	$-0.353129\pi$
$919$	13.8788	+	3.16776i	0.457821	+	0.104495i	0.0126102	+	0.999920i	$0.495986\pi$
$920$	−0.393414	−	0.974753i	−0.0129705	−	0.0321367i
$921$	−1.51792	+	0.730994i	−0.0500173	+	0.0240871i
$922$	−15.7812	+	26.0117i	−0.519725	+	0.856648i
$923$	8.85509	+	4.26439i	0.291469	+	0.140364i
$924$	−3.83313	−	28.3274i	−0.126101	−	0.931904i
$925$	36.2522	−	17.4581i	1.19196	−	0.574019i
$926$	−3.35213	+	34.6185i	−0.110158	+	1.13763i
$927$	−3.81933	−	16.7336i	−0.125443	−	0.549602i
$928$	−2.99200	+	11.3270i	−0.0982173	+	0.371828i
$929$	−31.2391	−	24.9124i	−1.02492	−	0.817348i	−0.0415841	−	0.999135i	$-0.513240\pi$
$929$	−31.2391	−	24.9124i	−1.02492	−	0.817348i	−0.983338	+	0.181787i	$0.941812\pi$
$930$	0.141789	+	0.385713i	0.00464944	+	0.0126480i
$931$	20.2223	−	15.5369i	0.662759	−	0.509203i
$932$	16.1598	−	13.7370i	0.529330	−	0.449971i
$933$	17.0407	−	21.3684i	0.557889	−	0.699570i
$934$	7.29503	+	0.706382i	0.238701	+	0.0231135i
$935$	−0.457750	+	0.104479i	−0.0149700	+	0.00341681i
$936$	−8.46911	−	12.1690i	−0.276822	−	0.397755i
$937$	11.3200	+	23.5062i	0.369808	+	0.767915i	0.999963	−	0.00855429i	$-0.00272295\pi$
$937$	11.3200	+	23.5062i	0.369808	+	0.767915i	−0.630155	+	0.776469i	$0.717009\pi$
$938$	36.0025	−	0.238648i	1.17552	−	0.00779213i
$939$	7.06469	−	14.6700i	0.230547	−	0.478737i
$940$	−0.0106627	+	0.0545423i	−0.000347779	+	0.00177897i
$941$	23.3779	+	48.5446i	0.762096	+	1.58251i	0.811932	+	0.583752i	$0.198416\pi$
$941$	23.3779	+	48.5446i	0.762096	+	1.58251i	−0.0498356	+	0.998757i	$0.515870\pi$
$942$	24.3763	+	8.10318i	0.794222	+	0.264016i
$943$	7.16330	−	31.3845i	0.233269	−	1.02202i
$944$	−8.94037	−	9.87275i	−0.290984	−	0.321331i
$945$	0.122674	−	0.0126999i	0.00399057	−	0.000413127i
$946$	−34.8357	−	21.1347i	−1.13261	−	0.687148i
$947$	−8.54004	−	17.7336i	−0.277514	−	0.576264i	0.714897	−	0.699230i	$-0.246474\pi$
$947$	−8.54004	−	17.7336i	−0.277514	−	0.576264i	−0.992411	+	0.122966i	$0.960759\pi$
$948$	11.3767	−	5.92483i	0.369497	−	0.192430i
$949$	−50.3458			−1.63429
$950$	−24.1682	+	8.88429i	−0.784121	+	0.288245i
$951$	3.86046	−	16.9138i	0.125184	−	0.548466i
$952$	10.5707	−	9.10733i	0.342600	−	0.295170i
$953$	5.51281	+	24.1532i	0.178577	+	0.782399i	0.982288	+	0.187378i	$0.0599990\pi$
$953$	5.51281	+	24.1532i	0.178577	+	0.782399i	−0.803710	+	0.595021i	$0.797144\pi$
$954$	−0.393602	−	0.605152i	−0.0127433	−	0.0195925i
$955$	0.0352863	+	0.0442476i	0.00114184	+	0.00143182i
$956$	−7.65743	+	39.1696i	−0.247659	+	1.26684i
$957$	−10.9075	+	2.48958i	−0.352591	+	0.0804766i
$958$	−8.96061	−	13.7767i	−0.289504	−	0.445105i
$959$	−9.88256	+	9.70545i	−0.319125	+	0.313405i
$960$	0.116746	+	0.354167i	0.00376797	+	0.0114307i
$961$	7.86070			0.253571
$962$	−20.5917	−	56.0161i	−0.663902	−	1.80603i
$963$	−5.28722	−	1.20677i	−0.170378	−	0.0388878i
$964$	−34.1771	−	15.1585i	−1.10077	−	0.488222i
$965$	−0.365765	+	0.291688i	−0.0117744	+	0.00938977i
$966$	−6.44509	+	29.1264i	−0.207367	+	0.937126i
$967$	−10.3241	−	8.23316i	−0.331999	−	0.264761i	0.443275	−	0.896386i	$-0.353817\pi$
$967$	−10.3241	−	8.23316i	−0.331999	−	0.264761i	−0.775274	+	0.631625i	$0.782388\pi$
$968$	38.0356	+	34.6177i	1.22251	+	1.11265i
$969$	−5.31075	−	4.23518i	−0.170606	−	0.136054i
$970$	−0.279068	+	0.287954i	−0.00896033	+	0.00924564i
$971$	34.8290	+	43.6742i	1.11771	+	1.40157i	0.905499	+	0.424347i	$0.139496\pi$
$971$	34.8290	+	43.6742i	1.11771	+	1.40157i	0.212215	+	0.977223i	$0.431932\pi$
$972$	1.93495	−	0.505922i	0.0620636	−	0.0162275i
$973$	−31.6537	−	3.85665i	−1.01477	−	0.123639i
$974$	9.48485	+	9.19215i	0.303914	+	0.294536i
$975$	11.3667	−	23.6031i	0.364025	−	0.755905i
$976$	3.09392	+	49.2957i	0.0990340	+	1.57792i
$977$	10.9677	+	5.28175i	0.350887	+	0.168978i	0.601022	−	0.799233i	$-0.294761\pi$
$977$	10.9677	+	5.28175i	0.350887	+	0.168978i	−0.250135	+	0.968211i	$0.580475\pi$
$978$	2.31929	+	0.770981i	0.0741628	+	0.0246533i
$979$	88.4607			2.82722
$980$	0.275332	−	0.591671i	0.00879515	−	0.0189002i
$981$	−16.9057			−0.539757
$982$	−38.5402	−	12.8116i	−1.22987	−	0.408834i
$983$	−12.9697	−	6.24590i	−0.413671	−	0.199213i	0.215460	−	0.976513i	$-0.430875\pi$
$983$	−12.9697	−	6.24590i	−0.413671	−	0.199213i	−0.629131	+	0.777299i	$0.716589\pi$
$984$	−3.26121	+	10.9449i	−0.103964	+	0.348912i
$985$	0.222933	−	0.462926i	0.00710325	−	0.0147500i
$986$	−3.92155	−	3.80053i	−0.124888	−	0.121034i
$987$	1.12527	−	1.10510i	0.0358177	−	0.0351758i
$988$	9.66126	+	36.9505i	0.307366	+	1.17555i
$989$	26.5112	+	33.2440i	0.843008	+	1.05710i
$990$	−0.247840	+	0.255732i	−0.00787688	+	0.00812769i
$991$	5.68457	+	4.53329i	0.180576	+	0.144005i	0.709607	−	0.704598i	$-0.248873\pi$
$991$	5.68457	+	4.53329i	0.180576	+	0.144005i	−0.529030	+	0.848603i	$0.677444\pi$
$992$	35.2437	+	1.19344i	1.11899	+	0.0378916i
$993$	−12.5894	−	10.0397i	−0.399512	−	0.318600i
$994$	1.60643	+	6.82927i	0.0509530	+	0.216611i
$995$	−0.291807	+	0.232708i	−0.00925090	+	0.00737735i
$996$	−3.89366	+	8.77883i	−0.123375	+	0.278168i
$997$	23.8687	+	5.44788i	0.755929	+	0.172536i	0.583083	−	0.812413i	$-0.301846\pi$
$997$	23.8687	+	5.44788i	0.755929	+	0.172536i	0.172847	+	0.984949i	$0.444703\pi$
$998$	4.66465	+	12.6894i	0.147657	+	0.401676i
$999$	8.05087			0.254718

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.b.55.11	yes	168
4.3	odd	2		588.2.x.a.55.5	✓	168
49.41	odd	14		588.2.x.a.139.5	yes	168
196.139	even	14	inner	588.2.x.b.139.11	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.5	✓	168	4.3	odd	2
588.2.x.a.139.5	yes	168	49.41	odd	14
588.2.x.b.55.11	yes	168	1.1	even	1	trivial
588.2.x.b.139.11	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)

\(f(q)\)	\(=\)	\(q+(-0.446111 + 1.34201i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.60197 - 1.19737i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(-0.984208 + 1.01555i) q^{6} +(-2.50508 + 0.851222i) q^{7} +(2.32154 - 1.61569i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.446111 + 1.34201i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.60197 - 1.19737i) q^{4} +(-0.0202251 + 0.0419978i) q^{5} +(-0.984208 + 1.01555i) q^{6} +(-2.50508 + 0.851222i) q^{7} +(2.32154 - 1.61569i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.0473388 - 0.0458779i) q^{10} +(-4.22358 - 3.36820i) q^{11} +(-0.923805 - 1.77386i) q^{12} +(-4.09819 - 3.26819i) q^{13} +(-0.0248016 - 3.74158i) q^{14} +(-0.0364443 + 0.0290634i) q^{15} +(1.13261 + 3.83630i) q^{16} +(-1.81779 - 0.414899i) q^{17} +(-1.32737 + 0.487944i) q^{18} +3.64310 q^{19} +(0.0826869 - 0.0430623i) q^{20} +(-2.62633 - 0.319989i) q^{21} +(6.40434 - 4.16549i) q^{22} +(-7.77277 + 1.77408i) q^{23} +(2.79266 - 0.448414i) q^{24} +(3.11609 + 3.90746i) q^{25} +(6.21419 - 4.04182i) q^{26} +(0.222521 + 0.974928i) q^{27} +(5.03229 + 1.63588i) q^{28} +(0.460848 - 2.01911i) q^{29} +(-0.0227451 - 0.0618741i) q^{30} -6.23384 q^{31} +(-5.65361 - 0.191445i) q^{32} +(-2.34391 - 4.86719i) q^{33} +(1.36773 - 2.25440i) q^{34} +(0.0149160 - 0.122424i) q^{35} +(-0.0626700 - 1.99902i) q^{36} +(1.79149 - 7.84902i) q^{37} +(-1.62523 + 4.88907i) q^{38} +(-2.27432 - 4.72268i) q^{39} +(0.0209024 + 0.130177i) q^{40} +(-1.75191 + 3.63789i) q^{41} +(1.60106 - 3.38180i) q^{42} +(-2.31404 - 4.80515i) q^{43} +(2.73308 + 10.4529i) q^{44} +(-0.0454453 + 0.0103726i) q^{45} +(1.08669 - 11.2226i) q^{46} +(-0.371672 + 0.466062i) q^{47} +(-0.644061 + 3.94781i) q^{48} +(5.55084 - 4.26476i) q^{49} +(-6.63396 + 2.43866i) q^{50} +(-1.45775 - 1.16252i) q^{51} +(2.65193 + 10.1426i) q^{52} +(0.113587 + 0.497658i) q^{53} +(-1.40763 - 0.136302i) q^{54} +(0.226879 - 0.109259i) q^{55} +(-4.44032 + 6.02358i) q^{56} +(3.28232 + 1.58068i) q^{57} +(2.50407 + 1.51921i) q^{58} +(-3.00005 + 1.44475i) q^{59} +(0.0931823 - 0.00292130i) q^{60} +(12.0386 + 2.74773i) q^{61} +(2.78099 - 8.36585i) q^{62} +(-2.22740 - 1.42782i) q^{63} +(2.77906 - 7.50179i) q^{64} +(0.220143 - 0.106015i) q^{65} +(7.57745 - 0.974242i) q^{66} +9.62227i q^{67} +(2.41526 + 2.84122i) q^{68} +(-7.77277 - 1.77408i) q^{69} +(0.157640 + 0.0746321i) q^{70} +(-1.82800 + 0.417230i) q^{71} +(2.71066 + 0.807681i) q^{72} +(7.50927 - 5.98844i) q^{73} +(9.73424 + 5.90573i) q^{74} +(1.11212 + 4.87252i) q^{75} +(-5.83614 - 4.36214i) q^{76} +(13.4475 + 4.84239i) q^{77} +(7.35247 - 0.945317i) q^{78} +6.41351i q^{79} +(-0.184023 - 0.0300223i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-4.10052 - 3.97398i) q^{82} +(-2.99386 - 3.75418i) q^{83} +(3.82415 + 3.65730i) q^{84} +(0.0541898 - 0.0679518i) q^{85} +(7.48087 - 0.961826i) q^{86} +(1.29127 - 1.61920i) q^{87} +(-15.2472 - 0.995368i) q^{88} +(-12.8025 + 10.2097i) q^{89} +(0.00635357 - 0.0656153i) q^{90} +(13.0482 + 4.69862i) q^{91} +(14.5760 + 6.46485i) q^{92} +(-5.61649 - 2.70476i) q^{93} +(-0.459652 - 0.706703i) q^{94} +(-0.0736821 + 0.153002i) q^{95} +(-5.01067 - 2.62550i) q^{96} -6.08284i q^{97} +(3.24704 + 9.35183i) q^{98} -5.40217i 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

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