LMFDB - Embedded newform 315.2.bs.e.292.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [315,2,Mod(52,315)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(315, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([8, 3, 2]))

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

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

chi := DirichletCharacter("315.52");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 315 = 3^{2} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	315.bs (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.51528766367$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			292.13
Character	$\chi$	$=$	315.292
Dual form			315.2.bs.e.178.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.690838 - 0.690838i) q^{2} +(-1.72965 - 0.0911190i) q^{3} -1.04549i q^{4} +(2.06537 - 0.856882i) q^{5} +(1.13196 + 1.25786i) q^{6} +(2.55036 - 0.704044i) q^{7} +(-2.10394 + 2.10394i) q^{8} +(2.98339 + 0.315208i) q^{9} +O(q^{10})$	\(q+(-0.690838 - 0.690838i) q^{2} +(-1.72965 - 0.0911190i) q^{3} -1.04549i q^{4} +(2.06537 - 0.856882i) q^{5} +(1.13196 + 1.25786i) q^{6} +(2.55036 - 0.704044i) q^{7} +(-2.10394 + 2.10394i) q^{8} +(2.98339 + 0.315208i) q^{9} +(-2.01880 - 0.834870i) q^{10} +(0.816710 - 1.41458i) q^{11} +(-0.0952635 + 1.80833i) q^{12} +(-0.513429 + 0.137573i) q^{13} +(-2.24826 - 1.27550i) q^{14} +(-3.65045 + 1.29391i) q^{15} +0.815990 q^{16} +(0.989992 + 0.265268i) q^{17} +(-1.84329 - 2.27880i) q^{18} +(2.99374 - 5.18531i) q^{19} +(-0.895857 - 2.15931i) q^{20} +(-4.47538 + 0.985366i) q^{21} +(-1.54146 + 0.413034i) q^{22} +(-7.17009 - 1.92122i) q^{23} +(3.83079 - 3.44737i) q^{24} +(3.53151 - 3.53956i) q^{25} +(0.449737 + 0.259656i) q^{26} +(-5.13151 - 0.817045i) q^{27} +(-0.736068 - 2.66636i) q^{28} +(-5.82340 + 3.36214i) q^{29} +(3.41576 + 1.62799i) q^{30} -8.35659i q^{31} +(3.64416 + 3.64416i) q^{32} +(-1.54152 + 2.37232i) q^{33} +(-0.500668 - 0.867182i) q^{34} +(4.66415 - 3.63947i) q^{35} +(0.329546 - 3.11909i) q^{36} +(-5.49748 + 1.47305i) q^{37} +(-5.65040 + 1.51402i) q^{38} +(0.900589 - 0.191170i) q^{39} +(-2.54258 + 6.14824i) q^{40} +(6.13816 + 3.54387i) q^{41} +(3.77249 + 2.41104i) q^{42} +(7.41230 + 1.98612i) q^{43} +(-1.47893 - 0.853858i) q^{44} +(6.43191 - 1.90539i) q^{45} +(3.62612 + 6.28062i) q^{46} +(-1.39656 + 1.39656i) q^{47} +(-1.41138 - 0.0743522i) q^{48} +(6.00864 - 3.59113i) q^{49} +(-4.88496 + 0.00555968i) q^{50} +(-1.68817 - 0.549028i) q^{51} +(0.143830 + 0.536782i) q^{52} +(-1.35099 - 0.361997i) q^{53} +(2.98060 + 4.10949i) q^{54} +(0.474678 - 3.62146i) q^{55} +(-3.88453 + 6.84706i) q^{56} +(-5.65061 + 8.69599i) q^{57} +(6.34572 + 1.70033i) q^{58} +1.10522 q^{59} +(1.35277 + 3.81649i) q^{60} +13.7361i q^{61} +(-5.77305 + 5.77305i) q^{62} +(7.83064 - 1.29655i) q^{63} -6.66703i q^{64} +(-0.942537 + 0.724087i) q^{65} +(2.70383 - 0.573948i) q^{66} +(3.95260 + 3.95260i) q^{67} +(0.277333 - 1.03502i) q^{68} +(12.2267 + 3.97637i) q^{69} +(-5.73645 - 0.707890i) q^{70} -6.35753 q^{71} +(-6.94005 + 5.61370i) q^{72} +(1.62714 - 6.07255i) q^{73} +(4.81551 + 2.78023i) q^{74} +(-6.43080 + 5.80041i) q^{75} +(-5.42116 - 3.12991i) q^{76} +(1.08697 - 4.18269i) q^{77} +(-0.754229 - 0.490094i) q^{78} +6.73743i q^{79} +(1.68532 - 0.699207i) q^{80} +(8.80129 + 1.88078i) q^{81} +(-1.79224 - 6.68871i) q^{82} +(1.01416 - 3.78491i) q^{83} +(1.03019 + 4.67895i) q^{84} +(2.27200 - 0.300430i) q^{85} +(-3.74861 - 6.49278i) q^{86} +(10.3788 - 5.28471i) q^{87} +(1.25789 + 4.69450i) q^{88} +(9.04644 - 15.6689i) q^{89} +(-5.75973 - 3.12709i) q^{90} +(-1.21257 + 0.712336i) q^{91} +(-2.00861 + 7.49622i) q^{92} +(-0.761444 + 14.4540i) q^{93} +1.92959 q^{94} +(1.73998 - 13.2749i) q^{95} +(-5.97107 - 6.63518i) q^{96} +(0.148983 + 0.0399199i) q^{97} +(-6.63189 - 1.67011i) q^{98} +(2.88246 - 3.96283i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 4 q^{2} - 18 q^{3} - 6 q^{5} + 24 q^{6} - 16 q^{8}+O(q^{10}) $ 160 * q + 4 * q^2 - 18 * q^3 - 6 * q^5 + 24 * q^6 - 16 * q^8	$ 160 q + 4 q^{2} - 18 q^{3} - 6 q^{5} + 24 q^{6} - 16 q^{8} - 24 q^{10} - 16 q^{11} - 30 q^{12} + 16 q^{15} - 152 q^{16} - 6 q^{17} + 58 q^{18} + 60 q^{20} - 36 q^{21} + 8 q^{22} + 8 q^{23} + 2 q^{25} - 36 q^{26} - 36 q^{27} + 22 q^{28} - 26 q^{30} + 12 q^{32} - 6 q^{33} - 36 q^{35} - 32 q^{36} - 4 q^{37} - 18 q^{38} - 6 q^{40} - 12 q^{41} - 28 q^{42} - 4 q^{43} - 54 q^{45} - 16 q^{46} - 18 q^{48} - 44 q^{50} + 80 q^{51} + 54 q^{52} + 8 q^{53} + 148 q^{56} - 4 q^{57} + 28 q^{58} + 104 q^{60} - 60 q^{63} - 124 q^{65} + 36 q^{66} - 24 q^{67} + 42 q^{68} - 34 q^{70} - 40 q^{71} + 70 q^{72} + 36 q^{73} - 60 q^{75} + 96 q^{76} + 58 q^{77} - 62 q^{78} + 36 q^{80} + 8 q^{81} - 66 q^{82} - 138 q^{83} - 20 q^{85} - 16 q^{86} + 102 q^{87} + 46 q^{88} + 18 q^{90} - 48 q^{91} - 26 q^{92} + 82 q^{93} + 188 q^{95} - 48 q^{96} + 48 q^{97} + 102 q^{98}+O(q^{100}) $ 160 * q + 4 * q^2 - 18 * q^3 - 6 * q^5 + 24 * q^6 - 16 * q^8 - 24 * q^10 - 16 * q^11 - 30 * q^12 + 16 * q^15 - 152 * q^16 - 6 * q^17 + 58 * q^18 + 60 * q^20 - 36 * q^21 + 8 * q^22 + 8 * q^23 + 2 * q^25 - 36 * q^26 - 36 * q^27 + 22 * q^28 - 26 * q^30 + 12 * q^32 - 6 * q^33 - 36 * q^35 - 32 * q^36 - 4 * q^37 - 18 * q^38 - 6 * q^40 - 12 * q^41 - 28 * q^42 - 4 * q^43 - 54 * q^45 - 16 * q^46 - 18 * q^48 - 44 * q^50 + 80 * q^51 + 54 * q^52 + 8 * q^53 + 148 * q^56 - 4 * q^57 + 28 * q^58 + 104 * q^60 - 60 * q^63 - 124 * q^65 + 36 * q^66 - 24 * q^67 + 42 * q^68 - 34 * q^70 - 40 * q^71 + 70 * q^72 + 36 * q^73 - 60 * q^75 + 96 * q^76 + 58 * q^77 - 62 * q^78 + 36 * q^80 + 8 * q^81 - 66 * q^82 - 138 * q^83 - 20 * q^85 - 16 * q^86 + 102 * q^87 + 46 * q^88 + 18 * q^90 - 48 * q^91 - 26 * q^92 + 82 * q^93 + 188 * q^95 - 48 * q^96 + 48 * q^97 + 102 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.690838	−	0.690838i	−0.488496	−	0.488496i	0.419335	−	0.907832i	$-0.362263\pi$
$2$	−0.690838	−	0.690838i	−0.488496	−	0.488496i	−0.907832	+	0.419335i	$0.862263\pi$
$3$	−1.72965	−	0.0911190i	−0.998615	−	0.0526076i
$3$	−1.72965	−	0.0911190i	−0.998615	−	0.0526076i
$4$		−	1.04549i		−	0.522743i
$5$	2.06537	−	0.856882i	0.923662	−	0.383209i
$5$	2.06537	−	0.856882i	0.923662	−	0.383209i
$6$	1.13196	+	1.25786i	0.462121	+	0.513519i
$7$	2.55036	−	0.704044i	0.963944	−	0.266104i
$7$	2.55036	−	0.704044i	0.963944	−	0.266104i
$8$	−2.10394	+	2.10394i	−0.743854	+	0.743854i
$9$	2.98339	+	0.315208i	0.994465	+	0.105069i
$10$	−2.01880	−	0.834870i	−0.638402	−	0.264009i
$11$	0.816710	−	1.41458i	0.246247	−	0.426513i	−0.716234	−	0.697860i	$-0.754136\pi$
$11$	0.816710	−	1.41458i	0.246247	−	0.426513i	0.962482	+	0.271347i	$0.0874691\pi$
$12$	−0.0952635	+	1.80833i	−0.0275002	+	0.522019i
$13$	−0.513429	+	0.137573i	−0.142400	+	0.0381558i	−0.329315	−	0.944220i	$-0.606818\pi$
$13$	−0.513429	+	0.137573i	−0.142400	+	0.0381558i	0.186915	+	0.982376i	$0.440151\pi$
$14$	−2.24826	−	1.27550i	−0.600874	−	0.340893i
$15$	−3.65045	+	1.29391i	−0.942542	+	0.334087i
$16$	0.815990			0.203998
$17$	0.989992	+	0.265268i	0.240108	+	0.0643369i	0.376866	−	0.926268i	$-0.377002\pi$
$17$	0.989992	+	0.265268i	0.240108	+	0.0643369i	−0.136758	+	0.990604i	$0.543668\pi$
$18$	−1.84329	−	2.27880i	−0.434466	−	0.537119i
$19$	2.99374	−	5.18531i	0.686811	−	1.18959i	−0.286053	−	0.958214i	$-0.592343\pi$
$19$	2.99374	−	5.18531i	0.686811	−	1.18959i	0.972864	−	0.231377i	$-0.0743232\pi$
$20$	−0.895857	−	2.15931i	−0.200320	−	0.482837i
$21$	−4.47538	+	0.985366i	−0.976609	+	0.215024i
$22$	−1.54146	+	0.413034i	−0.328641	+	0.0880591i
$23$	−7.17009	−	1.92122i	−1.49507	−	0.400602i	−0.583622	−	0.812025i	$-0.698365\pi$
$23$	−7.17009	−	1.92122i	−1.49507	−	0.400602i	−0.911444	+	0.411423i	$0.865032\pi$
$24$	3.83079	−	3.44737i	0.781957	−	0.703692i
$25$	3.53151	−	3.53956i	0.706302	−	0.707911i
$26$	0.449737	+	0.259656i	0.0882006	+	0.0509227i
$27$	−5.13151	−	0.817045i	−0.987560	−	0.157240i
$28$	−0.736068	−	2.66636i	−0.139104	−	0.503895i
$29$	−5.82340	+	3.36214i	−1.08138	+	0.624334i	−0.931268	−	0.364335i	$-0.881296\pi$
$29$	−5.82340	+	3.36214i	−1.08138	+	0.624334i	−0.150110	+	0.988669i	$0.547963\pi$
$30$	3.41576	+	1.62799i	0.623629	+	0.297228i
$31$		−	8.35659i		−	1.50089i	−0.660934	−	0.750444i	$-0.729840\pi$
$31$		−	8.35659i		−	1.50089i	0.660934	−	0.750444i	$-0.270160\pi$
$32$	3.64416	+	3.64416i	0.644202	+	0.644202i
$33$	−1.54152	+	2.37232i	−0.268344	+	0.412968i
$34$	−0.500668	−	0.867182i	−0.0858638	−	0.148720i
$35$	4.66415	−	3.63947i	0.788385	−	0.615182i
$36$	0.329546	−	3.11909i	0.0549243	−	0.519849i
$37$	−5.49748	+	1.47305i	−0.903780	+	0.242167i	−0.680639	−	0.732619i	$-0.738298\pi$
$37$	−5.49748	+	1.47305i	−0.903780	+	0.242167i	−0.223141	+	0.974786i	$0.571631\pi$
$38$	−5.65040	+	1.51402i	−0.916615	+	0.245606i
$39$	0.900589	−	0.191170i	0.144210	−	0.0306117i
$40$	−2.54258	+	6.14824i	−0.402018	+	0.972121i
$41$	6.13816	+	3.54387i	0.958619	+	0.553459i	0.895748	−	0.444563i	$-0.146641\pi$
$41$	6.13816	+	3.54387i	0.958619	+	0.553459i	0.0628714	+	0.998022i	$0.479974\pi$
$42$	3.77249	+	2.41104i	0.582108	+	0.372031i
$43$	7.41230	+	1.98612i	1.13036	+	0.302880i	0.775071	−	0.631874i	$-0.217714\pi$
$43$	7.41230	+	1.98612i	1.13036	+	0.302880i	0.355294	+	0.934755i	$0.384381\pi$
$44$	−1.47893	−	0.853858i	−0.222956	−	0.128724i
$45$	6.43191	−	1.90539i	0.958813	−	0.284039i
$46$	3.62612	+	6.28062i	0.534642	+	0.926027i
$47$	−1.39656	+	1.39656i	−0.203709	+	0.203709i	−0.801587	−	0.597878i	$-0.796011\pi$
$47$	−1.39656	+	1.39656i	−0.203709	+	0.203709i	0.597878	+	0.801587i	$0.296011\pi$
$48$	−1.41138	−	0.0743522i	−0.203715	−	0.0107318i
$49$	6.00864	−	3.59113i	0.858378	−	0.513018i
$50$	−4.88496	+	0.00555968i	−0.690838	+	0.000786257i
$51$	−1.68817	−	0.549028i	−0.236391	−	0.0768793i
$52$	0.143830	+	0.536782i	0.0199457	+	0.0744383i
$53$	−1.35099	−	0.361997i	−0.185573	−	0.0497241i	0.164836	−	0.986321i	$-0.447291\pi$
$53$	−1.35099	−	0.361997i	−0.185573	−	0.0497241i	−0.350409	+	0.936597i	$0.613957\pi$
$54$	2.98060	+	4.10949i	0.405608	+	0.559231i
$55$	0.474678	−	3.62146i	0.0640056	−	0.488318i
$56$	−3.88453	+	6.84706i	−0.519092	+	0.914976i
$57$	−5.65061	+	8.69599i	−0.748441	+	1.15181i
$58$	6.34572	+	1.70033i	0.833234	+	0.223264i
$59$	1.10522			0.143887			0.0719437	−	0.997409i	$-0.477080\pi$
$59$	1.10522			0.143887			0.0719437	+	0.997409i	$0.477080\pi$
$60$	1.35277	+	3.81649i	0.174641	+	0.492707i
$61$			13.7361i			1.75873i	0.476153	+	0.879363i	$0.342031\pi$
$61$			13.7361i			1.75873i	−0.476153	+	0.879363i	$0.657969\pi$
$62$	−5.77305	+	5.77305i	−0.733178	+	0.733178i
$63$	7.83064	−	1.29655i	0.986568	−	0.163350i
$64$		−	6.66703i		−	0.833378i
$65$	−0.942537	+	0.724087i	−0.116907	+	0.0898119i
$66$	2.70383	−	0.573948i	0.332818	−	0.0706481i
$67$	3.95260	+	3.95260i	0.482886	+	0.482886i	0.906052	−	0.423166i	$-0.139081\pi$
$67$	3.95260	+	3.95260i	0.482886	+	0.482886i	−0.423166	+	0.906052i	$0.639081\pi$
$68$	0.277333	−	1.03502i	0.0336316	−	0.125515i
$69$	12.2267	+	3.97637i	1.47192	+	0.478699i
$70$	−5.73645	−	0.707890i	−0.685637	−	0.0846091i
$71$	−6.35753			−0.754500			−0.377250	−	0.926112i	$-0.623130\pi$
$71$	−6.35753			−0.754500			−0.377250	+	0.926112i	$0.623130\pi$
$72$	−6.94005	+	5.61370i	−0.817893	+	0.661581i
$73$	1.62714	−	6.07255i	0.190442	−	0.710739i	−0.802958	−	0.596036i	$-0.796742\pi$
$73$	1.62714	−	6.07255i	0.190442	−	0.710739i	0.993400	−	0.114703i	$-0.0365917\pi$
$74$	4.81551	+	2.78023i	0.559791	+	0.323196i
$75$	−6.43080	+	5.80041i	−0.742565	+	0.669774i
$76$	−5.42116	−	3.12991i	−0.621850	−	0.359025i
$77$	1.08697	−	4.18269i	0.123872	−	0.476662i
$78$	−0.754229	−	0.490094i	−0.0853996	−	0.0554922i
$79$			6.73743i			0.758020i	0.925393	+	0.379010i	$0.123735\pi$
$79$			6.73743i			0.758020i	−0.925393	+	0.379010i	$0.876265\pi$
$80$	1.68532	−	0.699207i	0.188425	−	0.0781737i
$81$	8.80129	+	1.88078i	0.977921	+	0.208976i
$82$	−1.79224	−	6.68871i	−0.197919	−	0.738645i
$83$	1.01416	−	3.78491i	0.111319	−	0.415448i	−0.887666	−	0.460488i	$-0.847675\pi$
$83$	1.01416	−	3.78491i	0.111319	−	0.415448i	0.998985	+	0.0450392i	$0.0143413\pi$
$84$	1.03019	+	4.67895i	0.112402	+	0.510515i
$85$	2.27200	−	0.300430i	0.246433	−	0.0325863i
$86$	−3.74861	−	6.49278i	−0.404223	−	0.700135i
$87$	10.3788	−	5.28471i	1.11273	−	0.566581i
$88$	1.25789	+	4.69450i	0.134091	+	0.500436i
$89$	9.04644	−	15.6689i	0.958921	−	1.66090i	0.233793	−	0.972286i	$-0.424886\pi$
$89$	9.04644	−	15.6689i	0.958921	−	1.66090i	0.725128	−	0.688614i	$-0.241780\pi$
$90$	−5.75973	−	3.12709i	−0.607129	−	0.329624i
$91$	−1.21257	+	0.712336i	−0.127112	+	0.0746731i
$92$	−2.00861	+	7.49622i	−0.209412	+	0.781535i
$93$	−0.761444	+	14.4540i	−0.0789581	+	1.49881i
$94$	1.92959			0.199022
$95$	1.73998	−	13.2749i	0.178519	−	1.36197i
$96$	−5.97107	−	6.63518i	−0.609420	−	0.677200i
$97$	0.148983	+	0.0399199i	0.0151270	+	0.00405325i	0.266375	−	0.963870i	$-0.414174\pi$
$97$	0.148983	+	0.0399199i	0.0151270	+	0.00405325i	−0.251248	+	0.967923i	$0.580841\pi$
$98$	−6.63189	−	1.67011i	−0.669922	−	0.168707i
$99$	2.88246	−	3.96283i	0.289698	−	0.398279i
$100$	−3.70055	−	3.69214i	−0.370055	−	0.369214i
$101$	7.05201	+	4.07148i	0.701701	+	0.405127i	0.807981	−	0.589209i	$-0.200561\pi$
$101$	7.05201	+	4.07148i	0.701701	+	0.405127i	−0.106280	+	0.994336i	$0.533894\pi$
$102$	0.786964	+	1.54554i	0.0779211	+	0.153032i
$103$	2.65780	−	9.91904i	0.261881	−	0.977352i	−0.702252	−	0.711929i	$-0.747822\pi$
$103$	2.65780	−	9.91904i	0.261881	−	0.977352i	0.964132	−	0.265423i	$-0.0855115\pi$
$104$	0.790777	−	1.36967i	0.0775421	−	0.134307i
$105$	−8.39898	+	5.87002i	−0.819657	+	0.572855i
$106$	0.683235	+	1.18340i	0.0663616	+	0.114942i
$107$	1.22899	−	0.329306i	0.118811	−	0.0318352i	−0.198924	−	0.980015i	$-0.563745\pi$
$107$	1.22899	−	0.329306i	0.118811	−	0.0318352i	0.317734	+	0.948180i	$0.397078\pi$
$108$	−0.854208	+	5.36492i	−0.0821962	+	0.516240i
$109$	−10.0397	+	5.79643i	−0.961630	+	0.555197i	−0.896674	−	0.442691i	$-0.854024\pi$
$109$	−10.0397	+	5.79643i	−0.961630	+	0.555197i	−0.0649556	+	0.997888i	$0.520691\pi$
$110$	−2.82977	+	2.17392i	−0.269808	+	0.207275i
$111$	9.64295	−	2.04693i	0.915269	−	0.194286i
$112$	2.08107	−	0.574493i	0.196642	−	0.0542845i
$113$	5.38592	+	20.1005i	0.506664	+	1.89090i	0.451170	+	0.892438i	$0.351007\pi$
$113$	5.38592	+	20.1005i	0.506664	+	1.89090i	0.0554944	+	0.998459i	$0.482327\pi$
$114$	9.91118	−	2.10387i	0.928267	−	0.197045i
$115$	−16.4551	+	2.17589i	−1.53445	+	0.202903i
$116$	3.51507	+	6.08828i	0.326366	+	0.565282i
$117$	−1.57512	+	0.248597i	−0.145620	+	0.0229828i
$118$	−0.763528	−	0.763528i	−0.0702884	−	0.0702884i
$119$	2.71159	−	0.0204710i	0.248571	−	0.00187657i
$120$	4.95801	−	10.4026i	0.452602	−	0.949626i
$121$	4.16597	+	7.21567i	0.378724	+	0.655970i
$122$	9.48941	−	9.48941i	0.859131	−	0.859131i
$123$	−10.2940	−	6.68896i	−0.928176	−	0.603123i
$124$	−8.73669			−0.784578
$125$	4.26089	−	10.3366i	0.381106	−	0.924531i
$126$	−6.30541	−	4.51400i	−0.561731	−	0.402139i
$127$	−1.86063	−	1.86063i	−0.165104	−	0.165104i	0.619719	−	0.784824i	$-0.287246\pi$
$127$	−1.86063	−	1.86063i	−0.165104	−	0.165104i	−0.784824	+	0.619719i	$0.787246\pi$
$128$	2.68248	−	2.68248i	0.237100	−	0.237100i
$129$	−12.6397	−	4.11070i	−1.11287	−	0.361927i
$130$	1.15137	+	0.150914i	0.100982	+	0.0132360i
$131$	1.82517	−	1.05376i	0.159465	−	0.0920674i	−0.418144	−	0.908381i	$-0.637319\pi$
$131$	1.82517	−	1.05376i	0.159465	−	0.0920674i	0.577609	+	0.816313i	$0.303986\pi$
$132$	2.48022	+	1.61164i	0.215876	+	0.140275i
$133$	3.98442	−	15.3321i	0.345493	−	1.32946i
$134$		−	5.46121i		−	0.471777i
$135$	−11.2986	+	2.70960i	−0.972428	+	0.233205i
$136$	−2.64099	+	1.52478i	−0.226463	+	0.130748i
$137$	13.0681	−	3.50159i	1.11648	−	0.299161i	0.347024	−	0.937856i	$-0.387192\pi$
$137$	13.0681	−	3.50159i	1.11648	−	0.299161i	0.769460	+	0.638695i	$0.220526\pi$
$138$	−5.69964	−	11.1937i	−0.485186	−	0.952871i
$139$	−6.44269	+	11.1591i	−0.546461	+	0.946499i	0.452052	+	0.891992i	$0.350692\pi$
$139$	−6.44269	+	11.1591i	−0.546461	+	0.946499i	−0.998513	+	0.0545074i	$0.982641\pi$
$140$	−3.80501	−	4.87630i	−0.321582	−	0.412122i
$141$	2.54281	−	2.28831i	0.214144	−	0.192710i
$142$	4.39202	+	4.39202i	0.368570	+	0.368570i
$143$	−0.224714	+	0.838645i	−0.0187915	+	0.0701310i
$144$	2.43442	+	0.257207i	0.202868	+	0.0214339i
$145$	−9.14652	+	11.9340i	−0.759577	+	0.991067i
$146$	−5.31924	+	3.07106i	−0.440223	+	0.254163i
$147$	−10.7201	+	5.66390i	−0.884178	+	0.467151i
$148$	1.54005	+	5.74753i	0.126591	+	0.472444i
$149$	−3.17238	+	1.83158i	−0.259892	+	0.150049i	−0.624285	−	0.781197i	$-0.714610\pi$
$149$	−3.17238	+	1.83158i	−0.259892	+	0.150049i	0.364393	+	0.931245i	$0.381276\pi$
$150$	8.44979	+	0.435496i	0.689922	+	0.0355581i
$151$	−0.998652	+	1.72972i	−0.0812691	+	0.140762i	−0.903795	−	0.427965i	$-0.859231\pi$
$151$	−0.998652	+	1.72972i	−0.0812691	+	0.140762i	0.822526	+	0.568727i	$0.192564\pi$
$152$	4.61092	+	17.2082i	0.373995	+	1.39577i
$153$	2.86992	+	1.10345i	0.232020	+	0.0892088i
$154$	−3.64049	+	2.13864i	−0.293359	+	0.172337i
$155$	−7.16061	−	17.2595i	−0.575154	−	1.38631i
$156$	−0.199865	−	0.941552i	−0.0160020	−	0.0753845i
$157$	5.97391	−	5.97391i	0.476770	−	0.476770i	−0.427327	−	0.904097i	$-0.640545\pi$
$157$	5.97391	−	5.97391i	0.476770	−	0.476770i	0.904097	+	0.427327i	$0.140545\pi$
$158$	4.65447	−	4.65447i	0.370290	−	0.370290i
$159$	2.30376	+	0.749230i	0.182700	+	0.0594178i
$160$	10.6491	+	4.40392i	0.841889	+	0.348161i
$161$	−19.6389	+	0.148263i	−1.54776	+	0.0116847i
$162$	−4.78095	−	7.37958i	−0.375627	−	0.579795i
$163$	0.573913	+	2.14187i	0.0449523	+	0.167764i	0.984753	−	0.173959i	$-0.0556561\pi$
$163$	0.573913	+	2.14187i	0.0449523	+	0.167764i	−0.939801	+	0.341723i	$0.888989\pi$
$164$	3.70506	−	6.41735i	0.289317	−	0.501111i
$165$	−1.15101	+	6.22062i	−0.0896062	+	0.484274i
$166$	−3.31539	+	1.91414i	−0.257324	+	0.148566i
$167$	0.351833	+	1.31306i	0.0272256	+	0.101607i	0.978202	−	0.207657i	$-0.0665838\pi$
$167$	0.351833	+	1.31306i	0.0272256	+	0.101607i	−0.950976	+	0.309265i	$0.899917\pi$
$168$	7.34278	−	11.4891i	0.566508	−	0.886401i
$169$	−11.0136	+	6.35873i	−0.847204	+	0.489133i
$170$	−1.77714	−	1.36204i	−0.136300	−	0.104464i
$171$	10.5660	−	14.5262i	0.807999	−	1.11084i
$172$	2.07646	−	7.74945i	0.158328	−	0.590890i
$173$	−1.45010	−	1.45010i	−0.110249	−	0.110249i	0.649830	−	0.760079i	$-0.274840\pi$
$173$	−1.45010	−	1.45010i	−0.110249	−	0.110249i	−0.760079	+	0.649830i	$0.774840\pi$
$174$	−10.8210	−	3.51920i	−0.820335	−	0.266790i
$175$	6.51460	−	11.5135i	0.492458	−	0.870336i
$176$	0.666427	−	1.15429i	0.0502339	−	0.0870076i
$177$	−1.91165	−	0.100706i	−0.143688	−	0.00756956i
$178$	−17.0743	+	4.57505i	−1.27977	+	0.342914i
$179$	−14.6028	+	8.43092i	−1.09146	+	0.630157i	−0.933966	−	0.357362i	$-0.883676\pi$
$179$	−14.6028	+	8.43092i	−1.09146	+	0.630157i	−0.157498	+	0.987519i	$0.550343\pi$
$180$	−1.99206	−	6.72447i	−0.148479	−	0.501212i
$181$			20.3678i			1.51392i	0.653459	+	0.756962i	$0.273317\pi$
$181$			20.3678i			1.51392i	−0.653459	+	0.756962i	$0.726683\pi$
$182$	1.32980	+	0.345580i	0.0985712	+	0.0256161i
$183$	1.25162	−	23.7587i	0.0925223	−	1.75629i
$184$	19.1275	−	11.0433i	1.41010	−	0.814122i
$185$	−10.0921	+	7.75307i	−0.741986	+	0.570017i
$186$	10.5114	−	9.45934i	0.770734	−	0.693592i
$187$	1.18378	−	1.18378i	0.0865666	−	0.0865666i
$188$	1.46008	+	1.46008i	0.106487	+	0.106487i
$189$	−13.6624	+	1.52906i	−0.993796	+	0.111223i
$190$	−10.3728	+	7.96873i	−0.752524	+	0.578113i
$191$	17.2341			1.24701			0.623506	−	0.781818i	$-0.285708\pi$
$191$	17.2341			1.24701			0.623506	+	0.781818i	$0.285708\pi$
$192$	−0.607493	+	11.5316i	−0.0438420	+	0.832224i
$193$	7.64872	−	7.64872i	0.550567	−	0.550567i	−0.376038	−	0.926604i	$-0.622714\pi$
$193$	7.64872	−	7.64872i	0.550567	−	0.550567i	0.926604	+	0.376038i	$0.122714\pi$
$194$	−0.0753451	−	0.130501i	−0.00540946	−	0.00936946i
$195$	1.69624	−	1.16653i	0.121470	−	0.0835373i
$196$	−3.75447	−	6.28195i	−0.268176	−	0.448711i
$197$	4.66542	+	4.66542i	0.332398	+	0.332398i	0.853496	−	0.521099i	$-0.174478\pi$
$197$	4.66542	+	4.66542i	0.332398	+	0.332398i	−0.521099	+	0.853496i	$0.674478\pi$
$198$	−4.72898	+	0.746361i	−0.336074	+	0.0530415i
$199$	2.58318	+	4.47420i	0.183117	+	0.317168i	0.942940	−	0.332962i	$-0.108048\pi$
$199$	2.58318	+	4.47420i	0.183117	+	0.317168i	−0.759823	+	0.650130i	$0.774715\pi$
$200$	0.0169319	+	14.8771i	0.00119727	+	1.05197i
$201$	−6.47646	−	7.19677i	−0.456814	−	0.507621i
$202$	−2.05906	−	7.68453i	−0.144875	−	0.540682i
$203$	−12.4847	+	12.6746i	−0.876251	+	0.889582i
$204$	−0.574001	+	1.76496i	−0.0401881	+	0.123572i
$205$	15.7142	+	2.05972i	1.09753	+	0.143857i
$206$	−8.68856	+	5.01634i	−0.605360	+	0.349505i
$207$	−20.7856	−	7.99183i	−1.44470	−	0.555470i
$208$	−0.418953	+	0.112258i	−0.0290492	+	0.00778370i
$209$	−4.89003	−	8.46978i	−0.338251	−	0.585867i
$210$	9.85757	+	1.74710i	0.680237	+	0.120562i
$211$	0.273339	−	0.473437i	0.0188174	−	0.0325927i	−0.856463	−	0.516208i	$-0.827343\pi$
$211$	0.273339	−	0.473437i	0.0188174	−	0.0325927i	0.875281	+	0.483615i	$0.160677\pi$
$212$	−0.378462	+	1.41244i	−0.0259929	+	0.0970068i
$213$	10.9963	+	0.579291i	0.753455	+	0.0396924i
$214$	−1.07653	−	0.621534i	−0.0735900	−	0.0424872i
$215$	17.0110	−	2.24939i	1.16014	−	0.153407i
$216$	12.5154	−	9.07737i	0.851565	−	0.617637i
$217$	−5.88341	−	21.3123i	−0.399392	−	1.44677i
$218$	10.9402	+	2.93142i	0.740965	+	0.198541i
$219$	−3.36770	+	10.3551i	−0.227568	+	0.699736i
$220$	−3.78618	−	0.496269i	−0.255265	−	0.0334584i
$221$	−0.544784			−0.0366462
$222$	−8.07582	−	5.24762i	−0.542013	−	0.352197i
$223$	−6.86061	+	25.6042i	−0.459421	+	1.71458i	0.215335	+	0.976540i	$0.430916\pi$
$223$	−6.86061	+	25.6042i	−0.459421	+	1.71458i	−0.674756	+	0.738041i	$0.735751\pi$
$224$	11.8596	+	6.72826i	0.792400	+	0.449551i
$225$	11.6516	−	9.44673i	0.776772	−	0.629782i
$226$	10.1654	−	17.6070i	0.676193	−	1.17120i
$227$	−4.40428	−	16.4370i	−0.292323	−	1.09096i	−0.943321	−	0.331883i	$-0.892316\pi$
$227$	−4.40428	−	16.4370i	−0.292323	−	1.09096i	0.650998	−	0.759079i	$-0.274351\pi$
$228$	9.09153	+	5.90763i	0.602101	+	0.391242i
$229$	6.99567	+	12.1169i	0.462287	+	0.800705i	0.999075	−	0.0430129i	$-0.0136956\pi$
$229$	6.99567	+	12.1169i	0.462287	+	0.800705i	−0.536787	+	0.843717i	$0.680362\pi$
$230$	12.8710	+	9.86466i	0.848690	+	0.650456i
$231$	−2.26121	+	7.13556i	−0.148777	+	0.469485i
$232$	5.17833	−	19.3258i	0.339974	−	1.26880i
$233$	−3.18669	−	11.8929i	−0.208767	−	0.779130i	−0.988268	−	0.152729i	$-0.951194\pi$
$233$	−3.18669	−	11.8929i	−0.208767	−	0.779130i	0.779501	−	0.626401i	$-0.215473\pi$
$234$	1.25990	+	0.916416i	0.0823620	+	0.0599080i
$235$	−1.68772	+	4.08110i	−0.110095	+	0.266221i
$236$		−	1.15549i		−	0.0752160i
$237$	0.613908	−	11.6534i	0.0398776	−	0.756970i
$238$	−1.88742	−	1.85913i	−0.122343	−	0.120510i
$239$	6.57367	+	3.79531i	0.425215	+	0.245498i	0.697306	−	0.716773i	$-0.254382\pi$
$239$	6.57367	+	3.79531i	0.425215	+	0.245498i	−0.272091	+	0.962272i	$0.587715\pi$
$240$	−2.97873	+	1.05582i	−0.192276	+	0.0681529i
$241$	5.21861	+	3.01296i	0.336160	+	0.194082i	0.658573	−	0.752517i	$-0.271161\pi$
$241$	5.21861	+	3.01296i	0.336160	+	0.194082i	−0.322413	+	0.946599i	$0.604494\pi$
$242$	2.10685	−	7.86287i	0.135433	−	0.505445i
$243$	−15.0518	−	4.05506i	−0.965573	−	0.260132i
$244$	14.3609			0.919361
$245$	9.33290	−	12.5657i	0.596257	−	0.802793i
$246$	2.49048	+	11.7325i	0.158787	+	0.748034i
$247$	−0.823714	+	3.07414i	−0.0524117	+	0.195603i
$248$	17.5817	+	17.5817i	1.11644	+	1.11644i
$249$	−2.09903	+	6.45418i	−0.133021	+	0.409017i
$250$	−10.0845	+	4.19732i	−0.637799	+	0.265462i
$251$			4.81059i			0.303642i	0.988408	+	0.151821i	$0.0485137\pi$
$251$			4.81059i			0.303642i	−0.988408	+	0.151821i	$0.951486\pi$
$252$	−1.35552	−	8.18682i	−0.0853898	−	0.515721i
$253$	−8.57361	+	8.57361i	−0.539018	+	0.539018i
$254$			2.57079i			0.161306i
$255$	−3.95715	+	0.312618i	−0.247806	+	0.0195769i
$256$	−17.0404			−1.06502
$257$	15.8163	+	4.23796i	0.986592	+	0.264357i	0.715818	−	0.698287i	$-0.246054\pi$
$257$	15.8163	+	4.23796i	0.986592	+	0.264357i	0.270774	+	0.962643i	$0.412721\pi$
$258$	5.89218	+	11.5718i	0.366831	+	0.720431i
$259$	−12.9835	+	7.62726i	−0.806752	+	0.473935i
$260$	0.757022	+	0.985408i	0.0469485	+	0.0611124i
$261$	−18.4333	+	8.19501i	−1.14099	+	0.507258i
$262$	−1.98887	−	0.532917i	−0.122873	−	0.0329237i
$263$	2.15848	+	8.05555i	0.133097	+	0.496726i	0.999998	−	0.00175401i	$-0.000558321\pi$
$263$	2.15848	+	8.05555i	0.133097	+	0.496726i	−0.866901	+	0.498480i	$0.833892\pi$
$264$	−1.74795	−	8.23447i	−0.107579	−	0.506797i
$265$	−3.10048	+	0.409982i	−0.190461	+	0.0251850i
$266$	−13.3446	+	7.83942i	−0.818210	+	0.480666i
$267$	−17.0749	+	26.2775i	−1.04497	+	1.60815i
$268$	4.13238	−	4.13238i	0.252425	−	0.252425i
$269$	1.86662	+	3.23307i	0.113810	+	0.197124i	0.917303	−	0.398189i	$-0.130361\pi$
$269$	1.86662	+	3.23307i	0.113810	+	0.197124i	−0.803494	+	0.595313i	$0.797028\pi$
$270$	9.67739	+	5.93360i	0.588947	+	0.361107i
$271$	5.54325	+	3.20039i	0.336728	+	0.194410i	0.658824	−	0.752297i	$-0.271054\pi$
$271$	5.54325	+	3.20039i	0.336728	+	0.194410i	−0.322096	+	0.946707i	$0.604387\pi$
$272$	0.807824	+	0.216456i	0.0489815	+	0.0131246i
$273$	2.16223	−	1.12161i	0.130864	−	0.0678827i
$274$	−11.4470	−	6.60892i	−0.691537	−	0.399259i
$275$	−2.12278	−	7.88640i	−0.128008	−	0.475568i
$276$	4.15724	−	12.7828i	0.250236	−	0.769436i
$277$	−0.554701	+	0.148632i	−0.0333287	+	0.00893041i	−0.275445	−	0.961317i	$-0.588825\pi$
$277$	−0.554701	+	0.148632i	−0.0333287	+	0.00893041i	0.242116	+	0.970247i	$0.422158\pi$
$278$	12.1600	−	3.25825i	0.729306	−	0.195417i
$279$	2.63407	−	24.9310i	0.157697	−	1.49258i
$280$	−2.15587	+	17.4703i	−0.128838	+	1.04405i
$281$	2.21693	+	3.83984i	0.132251	+	0.229065i	0.924544	−	0.381075i	$-0.124446\pi$
$281$	2.21693	+	3.83984i	0.132251	+	0.229065i	−0.792293	+	0.610141i	$0.791113\pi$
$282$	−3.33752	−	0.175822i	−0.198747	−	0.0104701i
$283$	−5.26619	−	5.26619i	−0.313043	−	0.313043i	0.533044	−	0.846087i	$-0.321048\pi$
$283$	−5.26619	−	5.26619i	−0.313043	−	0.313043i	−0.846087	+	0.533044i	$0.821048\pi$
$284$			6.64670i			0.394409i
$285$	−4.21916	+	22.8023i	−0.249921	+	1.35069i
$286$	0.734609	−	0.424127i	0.0434383	−	0.0250791i
$287$	18.1495	+	4.71659i	1.07133	+	0.278412i
$288$	9.72329	+	12.0206i	0.572950	+	0.708322i
$289$	−13.8127	−	7.97477i	−0.812513	−	0.469104i
$290$	14.5632	−	1.92572i	0.855183	−	0.113082i
$291$	−0.254052	−	0.0826228i	−0.0148928	−	0.00484343i
$292$	−6.34877	−	1.70115i	−0.371533	−	0.0995521i
$293$	−18.6047	+	4.98512i	−1.08690	+	0.291234i	−0.757419	−	0.652929i	$-0.773540\pi$
$293$	−18.6047	+	4.98512i	−1.08690	+	0.291234i	−0.329480	+	0.944163i	$0.606873\pi$
$294$	11.3187	+	3.49300i	0.660119	+	0.203716i
$295$	2.28269	−	0.947042i	0.132903	−	0.0551389i
$296$	8.46716	−	14.6656i	0.492144	−	0.852418i
$297$	−5.34674	+	6.59167i	−0.310249	+	0.382487i
$298$	3.45692	+	0.926280i	0.200254	+	0.0536580i
$299$	3.94564			0.228182
$300$	6.06425	+	6.72331i	0.350119	+	0.388170i
$301$	20.3023	−	0.153271i	1.17021	−	0.00883439i
$302$	1.88486	−	0.505047i	0.108462	−	0.0290622i
$303$	−11.8265	−	7.68482i	−0.679417	−	0.441481i
$304$	2.44286	−	4.23116i	0.140108	−	0.242674i
$305$	11.7702	+	28.3701i	0.673960	+	1.62447i
$306$	−1.22035	−	2.74496i	−0.0697625	−	0.156919i
$307$	−6.54479	+	6.54479i	−0.373531	+	0.373531i	−0.868761	−	0.495231i	$-0.835084\pi$
$307$	−6.54479	+	6.54479i	−0.373531	+	0.373531i	0.495231	+	0.868761i	$0.335084\pi$
$308$	−4.37294	−	1.13641i	−0.249172	−	0.0647532i
$309$	−5.50088	+	16.9143i	−0.312934	+	0.962221i
$310$	−6.97667	+	16.8703i	−0.396248	+	0.958169i
$311$			24.6330i			1.39681i	0.715702	+	0.698406i	$0.246107\pi$
$311$			24.6330i			1.39681i	−0.715702	+	0.698406i	$0.753893\pi$
$312$	−1.49257	+	2.29699i	−0.0845003	+	0.130042i
$313$	17.9429	+	17.9429i	1.01419	+	1.01419i	0.999898	+	0.0142930i	$0.00454974\pi$
$313$	17.9429	+	17.9429i	1.01419	+	1.01419i	0.0142930	+	0.999898i	$0.495450\pi$
$314$	−8.25401			−0.465801
$315$	15.0622	−	9.38778i	0.848658	−	0.528942i
$316$	7.04388			0.396249
$317$	−7.53443	−	7.53443i	−0.423176	−	0.423176i	0.463120	−	0.886296i	$-0.346730\pi$
$317$	−7.53443	−	7.53443i	−0.423176	−	0.423176i	−0.886296	+	0.463120i	$0.846730\pi$
$318$	−1.07393	−	2.10912i	−0.0602229	−	0.118274i
$319$			10.9836i			0.614962i
$320$	−5.71285	−	13.7699i	−0.319358	−	0.769760i
$321$	−2.15573	+	0.457601i	−0.120321	+	0.0255408i
$322$	13.6697	+	13.4649i	0.761785	+	0.750369i
$323$	4.33927	−	4.33927i	0.241444	−	0.241444i
$324$	1.96633	−	9.20162i	0.109241	−	0.511201i
$325$	−1.32623	+	2.30315i	−0.0735661	+	0.127756i
$326$	1.08321	−	1.87617i	0.0599932	−	0.103911i
$327$	17.8934	−	9.11100i	0.989506	−	0.503839i
$328$	−20.3704	+	5.45823i	−1.12477	+	0.301380i
$329$	−2.57848	+	4.54496i	−0.142156	+	0.250572i
$330$	5.09260	−	3.50228i	0.280339	−	0.192794i
$331$	6.24703			0.343368			0.171684	−	0.985152i	$-0.445079\pi$
$331$	6.24703			0.343368			0.171684	+	0.985152i	$0.445079\pi$
$332$	−3.95707	−	1.06029i	−0.217173	−	0.0581912i
$333$	−16.8655	+	2.66182i	−0.924222	+	0.145867i
$334$	0.664051	−	1.15017i	0.0363352	−	0.0629345i
$335$	11.5505	+	4.77667i	0.631070	+	0.260977i
$336$	−3.65187	+	0.804049i	−0.199226	+	0.0438645i
$337$	12.3630	−	3.31266i	0.673457	−	0.180452i	0.0941452	−	0.995558i	$-0.469988\pi$
$337$	12.3630	−	3.31266i	0.673457	−	0.180452i	0.579311	+	0.815106i	$0.303322\pi$
$338$	12.0015	+	3.21579i	0.652796	+	0.174916i
$339$	−7.48422	−	35.2577i	−0.406487	−	1.91493i
$340$	−0.314096	−	2.37535i	−0.0170342	−	0.128821i
$341$	−11.8211	−	6.82491i	−0.640148	−	0.369590i
$342$	−17.3346	+	2.73587i	−0.937348	+	0.147939i
$343$	12.7959	−	13.3890i	0.690912	−	0.722939i
$344$	−19.7737	+	11.4163i	−1.06613	+	0.615528i
$345$	28.6599	−	2.26415i	1.54300	−	0.121898i
$346$			2.00357i			0.107712i
$347$	−9.47519	−	9.47519i	−0.508655	−	0.508655i	0.405459	−	0.914113i	$-0.367112\pi$
$347$	−9.47519	−	9.47519i	−0.508655	−	0.508655i	−0.914113	+	0.405459i	$0.867112\pi$
$348$	−5.52509	−	10.8509i	−0.296176	−	0.581669i
$349$	−15.4350	−	26.7341i	−0.826215	−	1.43105i	−0.900987	−	0.433846i	$-0.857156\pi$
$349$	−15.4350	−	26.7341i	−0.826215	−	1.43105i	0.0747724	−	0.997201i	$-0.476177\pi$
$350$	−12.4545	+	3.45341i	−0.665720	+	0.184592i
$351$	2.74707	−	0.286463i	0.146628	−	0.0152902i
$352$	8.13118	−	2.17874i	0.433394	−	0.116127i
$353$	−15.8768	+	4.25417i	−0.845035	+	0.226426i	−0.655262	−	0.755402i	$-0.727442\pi$
$353$	−15.8768	+	4.25417i	−0.845035	+	0.226426i	−0.189773	+	0.981828i	$0.560775\pi$
$354$	1.25107	+	1.39021i	0.0664934	+	0.0738888i
$355$	−13.1306	+	5.44765i	−0.696902	+	0.289131i
$356$	−16.3816	−	9.45792i	−0.868223	−	0.501269i
$357$	−4.69198	−	0.211670i	−0.248326	−	0.0112028i
$358$	15.9126	+	4.26376i	0.841005	+	0.225347i
$359$	−1.40486	−	0.811094i	−0.0741455	−	0.0428079i	0.462469	−	0.886635i	$-0.346964\pi$
$359$	−1.40486	−	0.811094i	−0.0741455	−	0.0428079i	−0.536614	+	0.843828i	$0.680297\pi$
$360$	−9.52351	+	17.5412i	−0.501933	+	0.924501i
$361$	−8.42494	−	14.5924i	−0.443418	−	0.768022i
$362$	14.0708	−	14.0708i	0.739546	−	0.739546i
$363$	−6.54819	−	12.8602i	−0.343691	−	0.674986i
$364$	0.744737	+	1.26772i	0.0390348	+	0.0664468i
$365$	−1.84282	−	13.9363i	−0.0964577	−	0.729461i
$366$	−17.2780	+	15.5487i	−0.903138	+	0.812744i
$367$	0.627271	+	2.34101i	0.0327433	+	0.122200i	0.980363	−	0.197201i	$-0.0631851\pi$
$367$	0.627271	+	2.34101i	0.0327433	+	0.122200i	−0.947620	+	0.319401i	$0.896518\pi$
$368$	−5.85072	−	1.56770i	−0.304990	−	0.0817218i
$369$	17.1955	+	12.5076i	0.895161	+	0.651117i
$370$	12.3281	+	1.61589i	0.640909	+	0.0840063i
$371$	−3.70037	+	0.0279357i	−0.192114	+	0.00145035i
$372$	15.1114	+	0.796078i	0.783492	+	0.0412747i
$373$	30.8952	+	8.27835i	1.59969	+	0.428637i	0.944950	−	0.327214i	$-0.106110\pi$
$373$	30.8952	+	8.27835i	1.59969	+	0.428637i	0.654744	+	0.755851i	$0.272777\pi$
$374$	−1.63560			−0.0845749
$375$	−8.31172	+	17.4904i	−0.429215	+	0.903202i
$376$		−	5.87654i		−	0.303060i
$377$	2.52736	−	2.52736i	0.130166	−	0.130166i
$378$	10.4949	+	8.38220i	0.539797	+	0.431134i
$379$			30.9678i			1.59071i	0.606146	+	0.795353i	$0.292715\pi$
$379$			30.9678i			1.59071i	−0.606146	+	0.795353i	$0.707285\pi$
$380$	−13.8787	−	1.81913i	−0.711961	−	0.0933193i
$381$	3.04871	+	3.38778i	0.156190	+	0.173561i
$382$	−11.9059	−	11.9059i	−0.609161	−	0.609161i
$383$	4.87326	−	18.1872i	0.249012	−	0.929324i	−0.722313	−	0.691567i	$-0.756921\pi$
$383$	4.87326	−	18.1872i	0.249012	−	0.929324i	0.971324	−	0.237758i	$-0.0764125\pi$
$384$	−4.88418	+	4.39533i	−0.249245	+	0.224298i
$385$	−1.33907	−	9.57022i	−0.0682453	−	0.487743i
$386$	−10.5681			−0.537900
$387$	21.4878	+	8.26179i	1.09228	+	0.419971i
$388$	0.0417357	−	0.155760i	0.00211881	−	0.00790750i
$389$	−20.5140	−	11.8438i	−1.04010	−	0.600503i	−0.120240	−	0.992745i	$-0.538366\pi$
$389$	−20.5140	−	11.8438i	−1.04010	−	0.600503i	−0.919862	+	0.392242i	$0.871700\pi$
$390$	−1.97771	−	0.365940i	−0.100145	−	0.0185301i
$391$	−6.58870	−	3.80399i	−0.333205	−	0.192376i
$392$	−5.08630	+	20.1973i	−0.256897	+	1.02012i
$393$	−3.25292	+	1.65633i	−0.164088	+	0.0835508i
$394$		−	6.44611i		−	0.324750i
$395$	5.77318	+	13.9153i	0.290480	+	0.700154i
$396$	−4.14308	−	3.01357i	−0.208197	−	0.151437i
$397$	−6.22065	−	23.2158i	−0.312205	−	1.16517i	−0.926563	−	0.376139i	$-0.877252\pi$
$397$	−6.22065	−	23.2158i	−0.312205	−	1.16517i	0.614358	−	0.789027i	$-0.289415\pi$
$398$	1.30639	−	4.87551i	0.0654834	−	0.244387i
$399$	−8.28870	+	26.1562i	−0.414954	+	1.30945i
$400$	2.88168	−	2.88824i	0.144084	−	0.144412i
$401$	−17.1072	−	29.6306i	−0.854295	−	1.47968i	−0.877298	−	0.479947i	$-0.840656\pi$
$401$	−17.1072	−	29.6306i	−0.854295	−	1.47968i	0.0230028	−	0.999735i	$-0.492677\pi$
$402$	−0.497620	+	9.44599i	−0.0248190	+	0.471123i
$403$	1.14964	+	4.29051i	0.0572676	+	0.213726i
$404$	4.25667	−	7.37277i	0.211777	−	0.366809i
$405$	19.7895	−	3.65715i	0.983349	−	0.181725i
$406$	17.3810	−	0.131216i	0.862603	−	0.00651216i
$407$	−2.40610	+	8.97969i	−0.119266	+	0.445107i
$408$	4.70693	−	2.39669i	0.233028	−	0.118654i
$409$	−0.0910287			−0.00450108			−0.00225054	−	0.999997i	$-0.500716\pi$
$409$	−0.0910287			−0.00450108			−0.00225054	+	0.999997i	$0.500716\pi$
$410$	−9.43306	−	12.2789i	−0.465866	−	0.606413i
$411$	−22.9223	+	4.86578i	−1.13068	+	0.240011i
$412$	−10.3702	−	2.77869i	−0.510903	−	0.136896i
$413$	2.81870	−	0.778123i	0.138699	−	0.0382889i
$414$	8.83844	+	19.8806i	0.434386	+	0.977076i
$415$	−1.14860	−	8.68627i	−0.0563825	−	0.426392i
$416$	−2.37235	−	1.36968i	−0.116314	−	0.0671540i
$417$	12.1604	−	18.7142i	0.595498	−	0.916440i
$418$	−2.47303	+	9.22947i	−0.120960	+	0.451428i
$419$	13.7216	−	23.7665i	0.670343	−	1.16107i	−0.307464	−	0.951560i	$-0.599480\pi$
$419$	13.7216	−	23.7665i	0.670343	−	1.16107i	0.977807	−	0.209508i	$-0.0671862\pi$
$420$	6.13702	+	8.78101i	0.299456	+	0.428469i
$421$	−5.94319	−	10.2939i	−0.289653	−	0.501695i	0.684074	−	0.729413i	$-0.260207\pi$
$421$	−5.94319	−	10.2939i	−0.289653	−	0.501695i	−0.973727	+	0.227719i	$0.926873\pi$
$422$	−0.515901	+	0.138235i	−0.0251137	+	0.00672919i
$423$	−4.60669	+	3.72628i	−0.223985	+	0.181178i
$424$	3.60402	−	2.08078i	0.175027	−	0.101052i
$425$	4.43510	−	2.56734i	0.215134	−	0.124534i
$426$	−7.19648	−	7.99687i	−0.348670	−	0.387450i
$427$	9.67081	+	35.0319i	0.468003	+	1.69531i
$428$	−0.344285	−	1.28489i	−0.0166416	−	0.0621074i
$429$	0.465094	−	1.43009i	0.0224549	−	0.0690453i
$430$	−13.3058	−	10.1979i	−0.641663	−	0.491786i
$431$	−11.1221	−	19.2640i	−0.535732	−	0.927915i	−0.999128	−	0.0417634i	$-0.986702\pi$
$431$	−11.1221	−	19.2640i	−0.535732	−	0.927915i	0.463396	−	0.886152i	$-0.346631\pi$
$432$	−4.18727	−	0.666701i	−0.201460	−	0.0320766i
$433$	5.23695	+	5.23695i	0.251672	+	0.251672i	0.821656	−	0.569984i	$-0.193051\pi$
$433$	5.23695	+	5.23695i	0.251672	+	0.251672i	−0.569984	+	0.821656i	$0.693051\pi$
$434$	−10.6589	+	18.7878i	−0.511642	+	0.901845i
$435$	16.9077	−	19.8083i	0.810663	−	0.949735i
$436$	6.06008	+	10.4964i	0.290225	+	0.502685i
$437$	−31.4275	+	31.4275i	−1.50338	+	1.50338i
$438$	9.48027	−	4.82719i	0.452985	−	0.230652i
$439$	19.5501			0.933075			0.466538	−	0.884501i	$-0.345501\pi$
$439$	19.5501			0.933075			0.466538	+	0.884501i	$0.345501\pi$
$440$	6.62064	+	8.61802i	0.315626	+	0.410848i
$441$	19.0581	−	8.81978i	0.907529	−	0.419989i
$442$	0.376358	+	0.376358i	0.0179015	+	0.0179015i
$443$	−26.5025	+	26.5025i	−1.25917	+	1.25917i	−0.307685	+	0.951488i	$0.599554\pi$
$443$	−26.5025	+	26.5025i	−1.25917	+	1.25917i	−0.951488	+	0.307685i	$0.900446\pi$
$444$	−2.14004	−	10.0816i	−0.101562	−	0.478450i
$445$	5.25786	−	40.1138i	0.249247	−	1.90158i
$446$	22.4279	−	12.9488i	1.06199	−	0.613141i
$447$	5.65401	−	2.87892i	0.267425	−	0.136168i
$448$	−4.69388	−	17.0033i	−0.221765	−	0.803330i
$449$		−	18.6203i		−	0.878748i	−0.898304	−	0.439374i	$-0.855200\pi$
$449$		−	18.6203i		−	0.878748i	0.898304	−	0.439374i	$-0.144800\pi$
$450$	−14.5755	−	1.52319i	−0.687096	−	0.0718040i
$451$	10.0262	−	5.78862i	0.472115	−	0.272576i
$452$	21.0148	−	5.63090i	0.988452	−	0.264855i
$453$	1.88493	−	2.90081i	0.0885617	−	0.136292i
$454$	−8.31267	+	14.3980i	−0.390133	+	0.675730i
$455$	−1.89402	+	2.51027i	−0.0887929	+	0.117683i
$456$	−6.40730	−	30.1843i	−0.300049	−	1.41351i
$457$	−20.6389	−	20.6389i	−0.965445	−	0.965445i	0.0339772	−	0.999423i	$-0.489183\pi$
$457$	−20.6389	−	20.6389i	−0.965445	−	0.965445i	−0.999423	+	0.0339772i	$0.989183\pi$
$458$	3.53791	−	13.2037i	0.165316	−	0.616967i
$459$	−4.86342	−	2.17009i	−0.227005	−	0.101291i
$460$	2.27486	+	17.2036i	0.106066	+	0.802122i
$461$	13.2237	−	7.63473i	0.615891	−	0.355585i	−0.159377	−	0.987218i	$-0.550948\pi$
$461$	13.2237	−	7.63473i	0.615891	−	0.355585i	0.775267	+	0.631633i	$0.217615\pi$
$462$	6.49165	−	3.36739i	0.302019	−	0.156665i
$463$	−10.7137	−	39.9841i	−0.497908	−	1.85822i	−0.513092	−	0.858333i	$-0.671500\pi$
$463$	−10.7137	−	39.9841i	−0.497908	−	1.85822i	0.0151842	−	0.999885i	$-0.495167\pi$
$464$	−4.75184	+	2.74347i	−0.220599	+	0.127363i
$465$	10.8127	+	30.5053i	0.501427	+	1.41465i
$466$	−6.01458	+	10.4176i	−0.278620	+	0.482584i
$467$	4.67993	+	17.4657i	0.216561	+	0.808217i	0.985611	+	0.169029i	$0.0540630\pi$
$467$	4.67993	+	17.4657i	0.216561	+	0.808217i	−0.769050	+	0.639189i	$0.779270\pi$
$468$	0.259905	+	1.64677i	0.0120141	+	0.0761220i
$469$	12.8633	+	7.29773i	0.593973	+	0.336978i
$470$	3.98532	−	1.65343i	0.183829	−	0.0762671i
$471$	−10.8771	+	9.78845i	−0.501191	+	0.451028i
$472$	−2.32531	+	2.32531i	−0.107031	+	0.107031i
$473$	8.86323	−	8.86323i	0.407532	−	0.407532i
$474$	−8.47473	+	7.62651i	−0.389257	+	0.350297i
$475$	−7.78127	−	28.9085i	−0.357029	−	1.32641i
$476$	−0.0214021	−	2.83493i	−0.000980965	−	0.129939i
$477$	−3.91643	−	1.50582i	−0.179321	−	0.0689469i
$478$	−1.91940	−	7.16329i	−0.0877912	−	0.327641i
$479$	−4.07569	+	7.05931i	−0.186223	+	0.322548i	−0.943988	−	0.329980i	$-0.892958\pi$
$479$	−4.07569	+	7.05931i	−0.186223	+	0.322548i	0.757765	+	0.652528i	$0.226291\pi$
$480$	−18.0180	−	8.58759i	−0.822407	−	0.391968i
$481$	2.61991	−	1.51261i	0.119458	−	0.0689690i
$482$	−1.52374	−	5.68668i	−0.0694045	−	0.259021i
$483$	33.9820	+	1.53303i	1.54623	+	0.0697555i
$484$	7.54388	−	4.35546i	0.342903	−	0.197975i
$485$	0.341912	−	0.0452115i	0.0155254	−	0.00205295i
$486$	7.59696	+	13.1997i	0.344605	+	0.598753i
$487$	−1.05326	+	3.93080i	−0.0477276	+	0.178122i	−0.985675	−	0.168656i	$-0.946057\pi$
$487$	−1.05326	+	3.93080i	−0.0477276	+	0.178122i	0.937947	+	0.346777i	$0.112724\pi$
$488$	−28.8999	−	28.8999i	−1.30824	−	1.30824i
$489$	−0.797504	−	3.75699i	−0.0360644	−	0.169897i
$490$	−15.1284	+	2.23334i	−0.683431	+	0.100892i
$491$	14.1237	−	24.4629i	0.637392	−	1.10399i	−0.348612	−	0.937267i	$-0.613347\pi$
$491$	14.1237	−	24.4629i	0.637392	−	1.10399i	0.986003	−	0.166727i	$-0.0533199\pi$
$492$	−6.99321	+	10.7622i	−0.315278	+	0.485197i
$493$	−6.65699	+	1.78373i	−0.299816	+	0.0803354i
$494$	2.69279	−	1.55468i	0.121154	−	0.0699485i
$495$	2.55767	−	10.6546i	0.114959	−	0.478890i
$496$		−	6.81890i		−	0.306178i
$497$	−16.2140	+	4.47598i	−0.727296	+	0.200775i
$498$	5.90888	−	3.00870i	0.264783	−	0.134823i
$499$	−21.4496	+	12.3840i	−0.960218	+	0.554382i	−0.896240	−	0.443569i	$-0.853712\pi$
$499$	−21.4496	+	12.3840i	−0.960218	+	0.554382i	−0.0639775	+	0.997951i	$0.520379\pi$
$500$	−10.8067	−	4.45470i	−0.483292	−	0.199220i
$501$	−0.488904	−	2.30319i	−0.0218426	−	0.102899i
$502$	3.32334	−	3.32334i	0.148328	−	0.148328i
$503$	22.1184	+	22.1184i	0.986211	+	0.986211i	0.999906	−	0.0136949i	$-0.00435937\pi$
$503$	22.1184	+	22.1184i	0.986211	+	0.986211i	−0.0136949	+	0.999906i	$0.504359\pi$
$504$	−13.7473	+	19.2030i	−0.612355	+	0.855371i
$505$	18.0538	+	2.36638i	0.803383	+	0.105302i
$506$	11.8460			0.526617
$507$	19.6292	−	9.99484i	0.871763	−	0.443887i
$508$	−1.94526	+	1.94526i	−0.0863071	+	0.0863071i
$509$	0.687693	+	1.19112i	0.0304815	+	0.0527955i	0.880864	−	0.473370i	$-0.156963\pi$
$509$	0.687693	+	1.19112i	0.0304815	+	0.0527955i	−0.850382	+	0.526165i	$0.823629\pi$
$510$	2.94972	+	2.51778i	0.130616	+	0.111489i
$511$	−0.125568	−	16.6328i	−0.00555480	−	0.735790i
$512$	6.40718	+	6.40718i	0.283160	+	0.283160i
$513$	−19.5990	+	24.1625i	−0.865319	+	1.06680i
$514$	−7.99874	−	13.8542i	−0.352809	−	0.611084i
$515$	−3.01010	−	22.7639i	−0.132641	−	1.00310i
$516$	−4.29767	+	13.2146i	−0.189194	+	0.581742i
$517$	0.834965	+	3.11613i	0.0367217	+	0.137047i
$518$	14.2387	+	3.70026i	0.625611	+	0.162580i
$519$	2.37603	+	2.64030i	0.104296	+	0.115896i
$520$	0.459606	−	3.50647i	0.0201551	−	0.153769i
$521$	−22.4862	+	12.9824i	−0.985140	+	0.568771i	−0.903818	−	0.427917i	$-0.859248\pi$
$521$	−22.4862	+	12.9824i	−0.985140	+	0.568771i	−0.0813222	+	0.996688i	$0.525914\pi$
$522$	18.3958	+	7.07298i	0.805164	+	0.309576i
$523$	2.60320	−	0.697525i	0.113830	−	0.0305006i	−0.201454	−	0.979498i	$-0.564567\pi$
$523$	2.60320	−	0.697525i	0.113830	−	0.0305006i	0.315284	+	0.948997i	$0.397900\pi$
$524$	−1.10169	−	1.90818i	−0.0481276	−	0.0833594i
$525$	−12.3171	+	19.3207i	−0.537562	+	0.843224i
$526$	4.07392	−	7.05624i	0.177631	−	0.307667i
$527$	2.21673	−	8.27296i	0.0965624	−	0.360376i
$528$	−1.25787	+	1.93579i	−0.0547416	+	0.0842444i
$529$	27.8005	+	16.0506i	1.20872	+	0.697853i
$530$	2.42516	+	1.85870i	0.105342	+	0.0807368i
$531$	3.29731	+	0.348374i	0.143091	+	0.0151182i
$532$	−16.0295	−	4.16565i	−0.694967	−	0.180604i
$533$	−3.63905	−	0.975080i	−0.157625	−	0.0422354i
$534$	29.9495	−	6.35745i	1.29604	−	0.275114i
$535$	2.25614	−	1.73324i	0.0975414	−	0.0749343i
$536$	−16.6320			−0.718394
$537$	26.0260	−	13.2520i	1.12310	−	0.571865i
$538$	0.944001	−	3.52306i	0.0406988	−	0.151890i
$539$	−0.172630	−	11.4326i	−0.00743569	−	0.492439i
$540$	2.83285	+	11.8125i	0.121906	+	0.508329i
$541$	−10.0369	+	17.3845i	−0.431522	+	0.747418i	−0.997005	−	0.0773420i	$-0.975357\pi$
$541$	−10.0369	+	17.3845i	−0.431522	+	0.747418i	0.565482	+	0.824760i	$0.308690\pi$
$542$	−1.61853	−	6.04044i	−0.0695219	−	0.259459i
$543$	1.85589	−	35.2291i	0.0796438	−	1.51183i
$544$	2.64101	+	4.57437i	0.113232	+	0.196124i
$545$	−15.7689	+	20.5746i	−0.675464	+	0.881320i
$546$	−2.26860	−	0.718903i	−0.0970871	−	0.0307662i
$547$	−3.88238	+	14.4892i	−0.165999	+	0.619515i	0.831912	+	0.554907i	$0.187246\pi$
$547$	−3.88238	+	14.4892i	−0.165999	+	0.619515i	−0.997911	+	0.0646077i	$0.979420\pi$
$548$	−3.66086	−	13.6625i	−0.156384	−	0.583634i
$549$	−4.32973	+	40.9802i	−0.184788	+	1.74899i
$550$	−3.98173	+	6.91472i	−0.169782	+	0.294845i
$551$			40.2615i			1.71520i
$552$	−34.0903	+	17.3582i	−1.45098	+	0.738813i
$553$	4.74345	+	17.1829i	0.201712	+	0.730689i
$554$	0.485889	+	0.280528i	0.0206434	+	0.0119185i
$555$	18.1623	−	12.4905i	0.770946	−	0.530194i
$556$	11.6666	+	6.73573i	0.494775	+	0.285659i
$557$	−0.0632745	+	0.236144i	−0.00268103	+	0.0100057i	−0.967253	−	0.253813i	$-0.918315\pi$
$557$	−0.0632745	+	0.236144i	−0.00268103	+	0.0100057i	0.964572	+	0.263818i	$0.0849820\pi$
$558$	−19.0430	+	15.4036i	−0.806155	+	0.652086i
$559$	−4.07892			−0.172520
$560$	3.80590	−	2.96977i	0.160829	−	0.125496i
$561$	−2.15539	+	1.93966i	−0.0910008	+	0.0818926i
$562$	1.12117	−	4.18424i	0.0472935	−	0.176502i
$563$	−0.0555045	−	0.0555045i	−0.00233924	−	0.00233924i	0.705936	−	0.708275i	$-0.250527\pi$
$563$	−0.0555045	−	0.0555045i	−0.00233924	−	0.00233924i	−0.708275	+	0.705936i	$0.750527\pi$
$564$	−2.39239	−	2.65847i	−0.100738	−	0.111942i
$565$	28.3477	+	36.8999i	1.19260	+	1.55239i
$566$			7.27618i			0.305840i
$567$	23.7706	−	1.39983i	0.998271	−	0.0587873i
$568$	13.3758	−	13.3758i	0.561238	−	0.561238i
$569$			14.7549i			0.618556i	0.950972	+	0.309278i	$0.100087\pi$
$569$			14.7549i			0.618556i	−0.950972	+	0.309278i	$0.899913\pi$
$570$	18.6675	−	12.8380i	0.781895	−	0.537724i
$571$	−29.5516			−1.23669			−0.618347	−	0.785905i	$-0.712197\pi$
$571$	−29.5516			−1.23669			−0.618347	+	0.785905i	$0.712197\pi$
$572$	0.876791	+	0.234935i	0.0366605	+	0.00982314i
$573$	−29.8089	−	1.57035i	−1.24529	−	0.0656023i
$574$	−9.27999	−	15.7968i	−0.387339	−	0.659345i
$575$	−32.1215	+	18.5941i	−1.33956	+	0.775429i
$576$	2.10150	−	19.8904i	0.0875626	−	0.828766i
$577$	−8.07441	−	2.16353i	−0.336142	−	0.0900690i	0.0867998	−	0.996226i	$-0.472336\pi$
$577$	−8.07441	−	2.16353i	−0.336142	−	0.0900690i	−0.422942	+	0.906157i	$0.639003\pi$
$578$	4.03307	+	15.0516i	0.167754	+	0.626065i
$579$	−13.9266	+	12.5327i	−0.578768	+	0.520840i
$580$	12.4769	+	9.56255i	0.518073	+	0.397063i
$581$	−0.0782642	−	10.3669i	−0.00324695	−	0.430091i
$582$	0.118430	+	0.232588i	0.00490907	+	0.00964106i
$583$	−1.61544	+	1.61544i	−0.0669048	+	0.0669048i
$584$	9.35288	+	16.1997i	0.387025	+	0.670347i
$585$	−3.04020	+	1.86314i	−0.125697	+	0.0770314i
$586$	16.2968	+	9.40894i	0.673213	+	0.388680i
$587$	8.74614	+	2.34352i	0.360992	+	0.0967275i	0.434756	−	0.900548i	$-0.356835\pi$
$587$	8.74614	+	2.34352i	0.360992	+	0.0967275i	−0.0737643	+	0.997276i	$0.523501\pi$
$588$	5.92152	+	11.2077i	0.244200	+	0.462197i
$589$	−43.3315	−	25.0175i	−1.78544	−	1.03083i
$590$	−2.23122	−	0.922714i	−0.0918579	−	0.0379876i
$591$	−7.64445	−	8.49467i	−0.314451	−	0.349424i
$592$	−4.48589	+	1.20199i	−0.184369	+	0.0494015i
$593$	−27.9474	+	7.48847i	−1.14766	+	0.307515i	−0.782027	−	0.623244i	$-0.785814\pi$
$593$	−27.9474	+	7.48847i	−1.14766	+	0.307515i	−0.365633	+	0.930759i	$0.619148\pi$
$594$	8.24750	−	0.860044i	0.338399	−	0.0352880i
$595$	5.58291	−	2.36580i	0.228877	−	0.0969882i
$596$	1.91489	+	3.31668i	0.0784367	+	0.135856i
$597$	−4.06032	−	7.97419i	−0.166178	−	0.326362i
$598$	−2.72580	−	2.72580i	−0.111466	−	0.111466i
$599$		−	10.0498i		−	0.410625i	−0.978696	−	0.205313i	$-0.934179\pi$
$599$		−	10.0498i		−	0.410625i	0.978696	−	0.205313i	$-0.0658211\pi$
$600$	1.32630	−	25.7337i	0.0541459	−	1.05057i
$601$	27.4153	−	15.8282i	1.11829	−	0.645647i	0.177329	−	0.984152i	$-0.443254\pi$
$601$	27.4153	−	15.8282i	1.11829	−	0.645647i	0.940965	+	0.338505i	$0.109921\pi$
$602$	−14.1315	−	13.9197i	−0.575957	−	0.567326i
$603$	10.5463	+	13.0380i	0.429477	+	0.530950i
$604$	1.80839	+	1.04408i	0.0735824	+	0.0424828i
$605$	14.7872	+	11.3333i	0.601187	+	0.460764i
$606$	2.86126	+	13.4792i	0.116231	+	0.547555i
$607$	−10.6778	−	2.86111i	−0.433398	−	0.116129i	0.0355226	−	0.999369i	$-0.488690\pi$
$607$	−10.6778	−	2.86111i	−0.433398	−	0.116129i	−0.468921	+	0.883240i	$0.655357\pi$
$608$	29.8057	−	7.98642i	1.20878	−	0.323892i
$609$	22.7490	−	20.7850i	0.921836	−	0.842253i
$610$	11.4678	−	27.7304i	0.464319	−	1.12277i
$611$	0.524905	−	0.909162i	0.0212354	−	0.0367807i
$612$	1.15364	−	3.00046i	0.0466332	−	0.121287i
$613$	−23.0984	−	6.18919i	−0.932934	−	0.249979i	−0.239829	−	0.970815i	$-0.577091\pi$
$613$	−23.0984	−	6.18919i	−0.932934	−	0.249979i	−0.693105	+	0.720836i	$0.743758\pi$
$614$	9.04278			0.364937
$615$	−26.9925	−	4.99447i	−1.08844	−	0.201396i
$616$	6.51320	+	11.0870i	0.262424	+	0.446710i
$617$	6.70895	−	1.79766i	0.270092	−	0.0723709i	−0.121231	−	0.992624i	$-0.538684\pi$
$617$	6.70895	−	1.79766i	0.270092	−	0.0723709i	0.391323	+	0.920253i	$0.372018\pi$
$618$	15.4853	−	7.88483i	0.622909	−	0.317175i
$619$	15.6977	−	27.1893i	0.630945	−	1.09283i	−0.356414	−	0.934328i	$-0.616001\pi$
$619$	15.6977	−	27.1893i	0.630945	−	1.09283i	0.987359	−	0.158500i	$-0.0506659\pi$
$620$	−18.0445	+	7.48631i	−0.724685	+	0.300658i
$621$	35.2237	+	15.7170i	1.41348	+	0.630703i
$622$	17.0174	−	17.0174i	0.682337	−	0.682337i
$623$	12.0401	−	46.3304i	0.482375	−	1.85619i
$624$	0.734872	−	0.155993i	0.0294184	−	0.00624471i
$625$	−0.0569060	−	24.9999i	−0.00227624	−	0.999997i
$626$		−	24.7912i		−	0.990857i
$627$	7.68630	+	15.0954i	0.306961	+	0.602851i
$628$	−6.24563	−	6.24563i	−0.249228	−	0.249228i
$629$	−5.83322			−0.232586
$630$	−16.8910	−	3.92009i	−0.672953	−	0.156180i
$631$	−36.8622			−1.46746			−0.733730	−	0.679441i	$-0.762222\pi$
$631$	−36.8622			−1.46746			−0.733730	+	0.679441i	$0.762222\pi$
$632$	−14.1751	−	14.1751i	−0.563856	−	0.563856i
$633$	−0.515920	+	0.793975i	−0.0205060	+	0.0315577i
$634$			10.4101i			0.413440i
$635$	−5.43723	−	2.24855i	−0.215770	−	0.0892310i
$636$	0.783308	−	2.40855i	0.0310602	−	0.0955051i
$637$	−2.59097	+	2.67041i	−0.102658	+	0.105806i
$638$	7.58787	−	7.58787i	0.300407	−	0.300407i
$639$	−18.9670	−	2.00395i	−0.750323	−	0.0792749i
$640$	3.24174	−	7.83888i	0.128141	−	0.309859i
$641$	−7.53215	+	13.0461i	−0.297502	+	0.515289i	−0.975564	−	0.219716i	$-0.929487\pi$
$641$	−7.53215	+	13.0461i	−0.297502	+	0.515289i	0.678062	+	0.735005i	$0.262820\pi$
$642$	1.80539	+	1.17313i	0.0712530	+	0.0462998i
$643$	−17.5568	+	4.70433i	−0.692372	+	0.185521i	−0.587812	−	0.808998i	$-0.700010\pi$
$643$	−17.5568	+	4.70433i	−0.692372	+	0.185521i	−0.104561	+	0.994518i	$0.533344\pi$
$644$	0.155006	+	20.5322i	0.00610811	+	0.809082i
$645$	−29.6281	+	2.34064i	−1.16660	+	0.0921625i
$646$	−5.99547			−0.235889
$647$	−3.91026	−	1.04775i	−0.153728	−	0.0411913i	0.181134	−	0.983458i	$-0.442023\pi$
$647$	−3.91026	−	1.04775i	−0.153728	−	0.0411913i	−0.334862	+	0.942267i	$0.608690\pi$
$648$	−22.4744	+	14.5603i	−0.882878	+	0.571983i
$649$	0.902644	−	1.56342i	0.0354319	−	0.0613698i
$650$	2.50731	−	0.674892i	0.0983450	−	0.0264715i
$651$	8.23430	+	37.3990i	0.322728	+	1.46578i
$652$	2.23930	−	0.600017i	0.0876976	−	0.0234985i
$653$	−22.3385	−	5.98559i	−0.874174	−	0.234234i	−0.206282	−	0.978493i	$-0.566136\pi$
$653$	−22.3385	−	5.98559i	−0.874174	−	0.234234i	−0.667892	+	0.744258i	$0.732803\pi$
$654$	−18.6557	−	6.06720i	−0.729494	−	0.237246i
$655$	2.86670	−	3.74036i	0.112011	−	0.146148i
$656$	5.00868	+	2.89176i	0.195556	+	0.112904i
$657$	6.76851	−	17.6039i	0.264065	−	0.686795i
$658$	4.92115	−	1.35852i	0.191846	−	0.0529605i
$659$	38.7647	−	22.3808i	1.51006	−	0.871834i	0.510129	−	0.860098i	$-0.329598\pi$
$659$	38.7647	−	22.3808i	1.51006	−	0.871834i	0.999931	−	0.0117356i	$-0.00373563\pi$
$660$	6.50356	+	1.20337i	0.253151	+	0.0468410i
$661$			17.5421i			0.682309i	0.940007	+	0.341155i	$0.110818\pi$
$661$			17.5421i			0.682309i	−0.940007	+	0.341155i	$0.889182\pi$
$662$	−4.31569	−	4.31569i	−0.167734	−	0.167734i
$663$	0.942287	+	0.0496402i	0.0365954	+	0.00192786i
$664$	5.82948	+	10.0970i	0.226228	+	0.391838i
$665$	−4.90851	−	35.0807i	−0.190344	−	1.36037i
$666$	13.4902	+	9.81242i	0.522735	+	0.380224i
$667$	48.2137	−	12.9188i	1.86684	−	0.500219i
$668$	1.37278	−	0.367836i	0.0531145	−	0.0142320i
$669$	14.1995	−	43.6612i	0.548984	−	1.68804i
$670$	−4.67961	−	11.2794i	−0.180789	−	0.435762i
$671$	19.4308	+	11.2184i	0.750119	+	0.433081i
$672$	−19.8998	−	12.7182i	−0.767653	−	0.490614i
$673$	47.8039	+	12.8090i	1.84270	+	0.493751i	0.999068	−	0.0431629i	$-0.0137434\pi$
$673$	47.8039	+	12.8090i	1.84270	+	0.493751i	0.843637	+	0.536914i	$0.180410\pi$
$674$	−10.8294	−	6.25233i	−0.417131	−	0.240831i
$675$	−21.0140	+	15.2779i	−0.808828	+	0.588046i
$676$	6.64796	+	11.5146i	0.255691	+	0.442869i
$677$	−26.4976	+	26.4976i	−1.01839	+	1.01839i	−0.0185585	+	0.999828i	$0.505908\pi$
$677$	−26.4976	+	26.4976i	−1.01839	+	1.01839i	−0.999828	+	0.0185585i	$0.994092\pi$
$678$	−19.1869	+	29.5277i	−0.736870	+	1.13401i
$679$	0.408066	−	0.00308066i	0.0156601	−	0.000118225i
$680$	−4.14807	+	5.41224i	−0.159071	+	0.207550i
$681$	6.12015	+	28.8316i	0.234525	+	1.10483i
$682$	3.45155	+	12.8814i	0.132167	+	0.493253i
$683$	25.2542	+	6.76683i	0.966324	+	0.258926i	0.707275	−	0.706939i	$-0.249924\pi$
$683$	25.2542	+	6.76683i	0.966324	+	0.258926i	0.259049	+	0.965864i	$0.416591\pi$
$684$	−15.1869	−	11.0466i	−0.580685	−	0.422375i
$685$	23.9900	−	18.4299i	0.916612	−	0.704170i
$686$	−18.0895	+	0.409759i	−0.690661	+	0.0156447i
$687$	−10.9960	−	21.5954i	−0.419524	−	0.823916i
$688$	6.04836	+	1.62065i	0.230592	+	0.0617868i
$689$	0.743438			0.0283227
$690$	−21.3635	−	18.2352i	−0.813296	−	0.694203i
$691$			21.1336i			0.803961i	0.915648	+	0.401980i	$0.131678\pi$
$691$			21.1336i			0.803961i	−0.915648	+	0.401980i	$0.868322\pi$
$692$	−1.51606	+	1.51606i	−0.0576318	+	0.0576318i
$693$	4.56129	−	12.1360i	0.173269	−	0.461008i
$694$			13.0916i			0.496952i
$695$	−3.74454	+	28.5682i	−0.142038	+	1.08365i
$696$	−10.7177	+	32.9551i	−0.406252	+	1.24916i
$697$	5.13666	+	5.13666i	0.194565	+	0.194565i
$698$	−7.80591	+	29.1320i	−0.295458	+	1.10266i
$699$	4.42820	+	20.8610i	0.167490	+	0.789034i
$700$	−12.0372	−	6.81092i	−0.454962	−	0.257429i
$701$	17.0822			0.645186			0.322593	−	0.946538i	$-0.395446\pi$
$701$	17.0822			0.645186			0.322593	+	0.946538i	$0.395446\pi$
$702$	−2.09568	−	1.69988i	−0.0790964	−	0.0641579i
$703$	−8.81983	+	32.9160i	−0.332646	+	1.24145i
$704$	−9.43107	−	5.44503i	−0.355447	−	0.205217i
$705$	3.29104	−	6.90509i	0.123948	−	0.260061i
$706$	13.9072	+	8.02934i	0.523405	+	0.302188i
$707$	20.8516	+	5.41880i	0.784207	+	0.203795i
$708$	−0.105287	+	1.99860i	−0.00395693	+	0.0751119i
$709$			43.7377i			1.64260i	0.570494	+	0.821302i	$0.306752\pi$
$709$			43.7377i			1.64260i	−0.570494	+	0.821302i	$0.693248\pi$
$710$	12.8346	+	5.30771i	0.481674	+	0.199195i
$711$	−2.12369	+	20.1004i	−0.0796447	+	0.753824i
$712$	13.9332	+	51.9995i	0.522170	+	1.94877i
$713$	−16.0548	+	59.9175i	−0.601259	+	2.24393i
$714$	3.09517	+	3.38763i	0.115834	+	0.126779i
$715$	0.254501	+	1.92467i	0.00951781	+	0.0719784i
$716$	8.81441	+	15.2670i	0.329410	+	0.570555i
$717$	−11.0243	−	7.16355i	−0.411711	−	0.267528i
$718$	0.410194	+	1.53086i	0.0153083	+	0.0571313i
$719$	9.10099	−	15.7634i	0.339410	−	0.587875i	−0.644912	−	0.764257i	$-0.723106\pi$
$719$	9.10099	−	15.7634i	0.339410	−	0.587875i	0.984322	+	0.176382i	$0.0564394\pi$
$720$	5.24838	−	1.55478i	0.195595	−	0.0579434i
$721$	−0.205105	−	27.1683i	−0.00763851	−	1.01180i
$722$	−4.26073	+	15.9013i	−0.158568	+	0.591784i
$723$	−8.75184	−	5.68689i	−0.325484	−	0.211498i
$724$	21.2942			0.791392
$725$	−8.66489	+	32.4857i	−0.321806	+	1.20649i
$726$	−4.36058	+	13.4081i	−0.161836	+	0.497620i
$727$	−47.2752	−	12.6674i	−1.75334	−	0.469806i	−0.768007	−	0.640441i	$-0.778752\pi$
$727$	−47.2752	−	12.6674i	−1.75334	−	0.469806i	−0.985334	+	0.170635i	$0.945418\pi$
$728$	1.05246	−	4.04988i	0.0390067	−	0.150099i
$729$	25.6649	+	8.38535i	0.950551	+	0.310569i
$730$	−8.35466	+	10.9008i	−0.309220	+	0.403458i
$731$	6.81126	+	3.93249i	0.251924	+	0.145448i
$732$	−24.8393	−	1.30855i	−0.918088	−	0.0483653i
$733$	5.15655	−	19.2445i	0.190461	−	0.710812i	−0.802934	−	0.596068i	$-0.796729\pi$
$733$	5.15655	−	19.2445i	0.190461	−	0.710812i	0.993395	−	0.114744i	$-0.0366046\pi$
$734$	1.18391	−	2.05060i	0.0436991	−	0.0756890i
$735$	−17.2877	+	20.8839i	−0.637665	+	0.770314i
$736$	−19.1277	−	33.1302i	−0.705057	−	1.22119i
$737$	8.81940	−	2.36315i	0.324867	−	0.0870478i
$738$	−3.23861	−	20.5200i	−0.119215	−	0.755351i
$739$	41.8852	−	24.1825i	1.54077	−	0.889566i	0.541984	−	0.840389i	$-0.317673\pi$
$739$	41.8852	−	24.1825i	1.54077	−	0.889566i	0.998790	−	0.0491770i	$-0.0156598\pi$
$740$	8.10572	+	10.5511i	0.297972	+	0.387868i
$741$	1.70485	−	5.24214i	0.0626293	−	0.192575i
$742$	2.57566	+	2.53706i	0.0945553	+	0.0931383i
$743$	8.51948	+	31.7951i	0.312549	+	1.16645i	0.926250	+	0.376911i	$0.123014\pi$
$743$	8.51948	+	31.7951i	0.312549	+	1.16645i	−0.613700	+	0.789539i	$0.710320\pi$
$744$	−28.8083	−	32.0123i	−1.05616	−	1.17363i
$745$	−4.98270	+	6.50124i	−0.182552	+	0.238187i
$746$	−15.6246	−	27.0626i	−0.572057	−	0.990832i
$747$	4.21869	−	10.9722i	0.154354	−	0.401453i
$748$	−1.23762	−	1.23762i	−0.0452520	−	0.0452520i
$749$	2.90251	−	1.70511i	0.106055	−	0.0623034i
$750$	17.8251	−	6.34101i	0.650881	−	0.231541i
$751$	6.76017	+	11.7090i	0.246682	+	0.427266i	0.962603	−	0.270915i	$-0.0873263\pi$
$751$	6.76017	+	11.7090i	0.246682	+	0.427266i	−0.715921	+	0.698181i	$0.753993\pi$
$752$	−1.13958	+	1.13958i	−0.0415561	+	0.0415561i
$753$	0.438336	−	8.32065i	0.0159739	−	0.303221i
$754$	−3.49200			−0.127171
$755$	−0.580424	+	4.42823i	−0.0211238	+	0.161160i
$756$	1.59861	+	14.2839i	0.0581407	+	0.519499i
$757$	28.4104	+	28.4104i	1.03260	+	1.03260i	0.999451	+	0.0331447i	$0.0105522\pi$
$757$	28.4104	+	28.4104i	1.03260	+	1.03260i	0.0331447	+	0.999451i	$0.489448\pi$
$758$	21.3937	−	21.3937i	0.777055	−	0.777055i
$759$	15.6106	−	14.0481i	0.566628	−	0.509915i
$760$	24.2687	+	31.5903i	0.880317	+	1.14590i
$761$	13.6962	−	7.90749i	0.496486	−	0.286646i	−0.230775	−	0.973007i	$-0.574126\pi$
$761$	13.6962	−	7.90749i	0.496486	−	0.286646i	0.727261	+	0.686361i	$0.240793\pi$
$762$	0.234248	−	4.44657i	0.00848590	−	0.161082i
$763$	−21.5239	+	21.8514i	−0.779218	+	0.791072i
$764$		−	18.0179i		−	0.651866i
$765$	6.87298	−	0.180148i	0.248493	−	0.00651327i
$766$	−15.9311	+	9.19781i	−0.575613	+	0.332330i
$767$	−0.567451	+	0.152048i	−0.0204895	+	0.00549014i
$768$	29.4739	+	1.55270i	1.06355	+	0.0560283i
$769$	10.7002	−	18.5333i	0.385860	−	0.668328i	−0.606028	−	0.795443i	$-0.707238\pi$
$769$	10.7002	−	18.5333i	0.385860	−	0.668328i	0.991888	+	0.127115i	$0.0405716\pi$
$770$	−5.68639	+	7.53655i	−0.204923	+	0.271598i
$771$	−26.9705	−	8.77136i	−0.971319	−	0.315893i
$772$	−7.99662	−	7.99662i	−0.287805	−	0.287805i
$773$	2.38488	−	8.90050i	0.0857782	−	0.320129i	−0.909682	−	0.415305i	$-0.863675\pi$
$773$	2.38488	−	8.90050i	0.0857782	−	0.320129i	0.995460	+	0.0951763i	$0.0303415\pi$
$774$	−9.13700	−	20.5521i	−0.328423	−	0.738731i
$775$	−29.5786	−	29.5114i	−1.06250	−	1.06008i
$776$	−0.397440	+	0.229462i	−0.0142673	+	0.00823722i
$777$	23.1518	−	12.0095i	0.830568	−	0.430837i
$778$	5.98973	+	22.3540i	0.214742	+	0.801430i
$779$	36.7521	−	21.2188i	1.31678	−	0.760243i
$780$	−1.21960	−	1.77339i	−0.0436685	−	0.0634977i
$781$	−5.19226	+	8.99325i	−0.185794	+	0.321804i
$782$	1.92378	+	7.17966i	0.0687944	+	0.256744i
$783$	32.6299	−	12.4949i	1.16610	−	0.446531i
$784$	4.90300	−	2.93033i	0.175107	−	0.104654i
$785$	7.21940	−	17.4573i	0.257671	−	0.623077i
$786$	3.39150	+	1.10298i	0.120971	+	0.0393421i
$787$	−36.7451	+	36.7451i	−1.30982	+	1.30982i	−0.388282	+	0.921541i	$0.626931\pi$
$787$	−36.7451	+	36.7451i	−1.30982	+	1.30982i	−0.921541	+	0.388282i	$0.873069\pi$
$788$	4.87763	−	4.87763i	0.173758	−	0.173758i
$789$	−2.99940	−	14.1300i	−0.106782	−	0.503040i
$790$	5.62488	−	13.6015i	0.200124	−	0.483921i
$791$	27.8877	+	47.4716i	0.991571	+	1.68789i
$792$	2.27303	+	14.4020i	0.0807686	+	0.511754i
$793$	−1.88971	−	7.05250i	−0.0671056	−	0.250442i
$794$	−11.7409	+	20.3358i	−0.416668	+	0.721691i
$795$	5.40012	−	0.426613i	0.191522	−	0.0151304i
$796$	4.67771	−	2.70068i	0.165797	−	0.0957230i
$797$	−1.23676	−	4.61563i	−0.0438081	−	0.163494i	0.940556	−	0.339638i	$-0.110304\pi$
$797$	−1.23676	−	4.61563i	−0.0438081	−	0.163494i	−0.984365	+	0.176143i	$0.943638\pi$
$798$	23.7958	−	12.3435i	0.842363	−	0.436956i
$799$	−1.75304	+	1.01212i	−0.0620182	+	0.0358062i
$800$	25.7681	−	0.0293272i	0.911039	−	0.00103687i
$801$	31.9281	−	43.8950i	1.12812	−	1.55095i
$802$	−8.65162	+	32.2883i	−0.305499	+	1.14014i
$803$	−7.26124	−	7.26124i	−0.256243	−	0.256243i
$804$	−7.52412	+	6.77104i	−0.265355	+	0.238796i
$805$	−40.4346	+	17.1344i	−1.42513	+	0.603910i
$806$	2.16984	−	3.75827i	0.0764292	−	0.132379i
$807$	−2.93400	−	5.76217i	−0.103282	−	0.202838i
$808$	−23.4031	+	6.27085i	−0.823319	+	0.220608i
$809$	−16.7030	+	9.64348i	−0.587246	+	0.339047i	−0.764008	−	0.645207i	$-0.776771\pi$
$809$	−16.7030	+	9.64348i	−0.587246	+	0.339047i	0.176762	+	0.984254i	$0.443438\pi$
$810$	−16.1979	−	11.1449i	−0.569135	−	0.391590i
$811$			7.57899i			0.266134i	0.991107	+	0.133067i	$0.0424826\pi$
$811$			7.57899i			0.266134i	−0.991107	+	0.133067i	$0.957517\pi$
$812$	13.2511	+	13.0525i	0.465022	+	0.458054i
$813$	−9.29627	−	6.04066i	−0.326034	−	0.211855i
$814$	7.86574	−	4.54129i	0.275694	−	0.159172i
$815$	3.02067	+	3.93198i	0.105810	+	0.137731i
$816$	−1.37753	−	0.448002i	−0.0482233	−	0.0156832i
$817$	32.4891	−	32.4891i	1.13665	−	1.13665i
$818$	0.0628861	+	0.0628861i	0.00219876	+	0.00219876i
$819$	−3.84211	+	1.74297i	−0.134254	+	0.0609042i
$820$	2.15341	−	16.4290i	0.0752003	−	0.573726i
$821$	22.8142			0.796220			0.398110	−	0.917338i	$-0.369666\pi$
$821$	22.8142			0.796220			0.398110	+	0.917338i	$0.369666\pi$
$822$	19.1971	+	12.4742i	0.669576	+	0.435087i
$823$	5.27512	−	5.27512i	0.183879	−	0.183879i	−0.609165	−	0.793044i	$-0.708495\pi$
$823$	5.27512	−	5.27512i	0.183879	−	0.183879i	0.793044	+	0.609165i	$0.208495\pi$
$824$	15.2772	+	26.4609i	0.532206	+	0.921808i
$825$	2.95307	+	13.8342i	0.102813	+	0.481644i
$826$	−2.48483	−	1.40971i	−0.0864581	−	0.0490501i
$827$	−21.2830	−	21.2830i	−0.740083	−	0.740083i	0.232511	−	0.972594i	$-0.425306\pi$
$827$	−21.2830	−	21.2830i	−0.740083	−	0.740083i	−0.972594	+	0.232511i	$0.925306\pi$
$828$	−8.35534	+	21.7311i	−0.290368	+	0.755206i
$829$	−4.24336	−	7.34971i	−0.147378	−	0.255266i	0.782880	−	0.622173i	$-0.213750\pi$
$829$	−4.24336	−	7.34971i	−0.147378	−	0.255266i	−0.930258	+	0.366907i	$0.880417\pi$
$830$	−5.20731	+	6.79430i	−0.180748	+	0.235834i
$831$	0.972982	−	0.206537i	0.0337524	−	0.00716470i
$832$	0.917202	+	3.42304i	0.0317983	+	0.118673i
$833$	6.90112	−	1.96129i	0.239110	−	0.0679547i
$834$	−21.3294	+	4.52764i	−0.738576	+	0.156779i
$835$	1.85180	+	2.41047i	0.0640841	+	0.0834177i
$836$	−8.85503	+	5.11246i	−0.306258	+	0.176818i
$837$	−6.82771	+	42.8820i	−0.236000	+	1.48222i
$838$	−25.8982	+	6.93939i	−0.894637	+	0.239717i
$839$	−0.839410	−	1.45390i	−0.0289797	−	0.0501942i	0.851172	−	0.524887i	$-0.175892\pi$
$839$	−0.839410	−	1.45390i	−0.0289797	−	0.0501942i	−0.880152	+	0.474693i	$0.842559\pi$
$840$	5.32078	−	30.0211i	0.183584	−	1.03583i
$841$	8.10798	−	14.0434i	0.279586	−	0.484256i
$842$	−3.00564	+	11.2172i	−0.103581	+	0.386571i
$843$	−3.48464	−	6.84358i	−0.120017	−	0.235706i
$844$	−0.494971	−	0.285772i	−0.0170376	−	0.00983667i
$845$	−17.2986	+	22.5705i	−0.595089	+	0.776450i
$846$	5.75673	+	0.608223i	0.197921	+	0.0209111i
$847$	15.7049	+	15.4695i	0.539625	+	0.531539i
$848$	−1.10240	−	0.295386i	−0.0378564	−	0.0101436i
$849$	8.62883	+	9.58853i	0.296141	+	0.329078i
$850$	−4.83755	−	1.29032i	−0.165927	−	0.0442575i
$851$	42.2475			1.44822
$852$	0.605641	−	11.4965i	0.0207489	−	0.393863i
$853$	10.9968	−	41.0407i	0.376524	−	1.40521i	−0.474581	−	0.880212i	$-0.657401\pi$
$853$	10.9968	−	41.0407i	0.376524	−	1.40521i	0.851105	−	0.524995i	$-0.175933\pi$
$854$	17.5204	−	30.8824i	0.599537	−	1.05677i
$855$	9.37540	−	39.0557i	0.320632	−	1.33568i
$856$	−1.89287	+	3.27855i	−0.0646971	+	0.112059i
$857$	−13.3443	−	49.8017i	−0.455833	−	1.70119i	−0.685627	−	0.727953i	$-0.740472\pi$
$857$	−13.3443	−	49.8017i	−0.455833	−	1.70119i	0.229794	−	0.973239i	$-0.426195\pi$
$858$	−1.30926	+	0.666655i	−0.0446975	+	0.0227592i
$859$	9.69220	+	16.7874i	0.330694	+	0.572778i	0.982648	−	0.185480i	$-0.0593840\pi$
$859$	9.69220	+	16.7874i	0.330694	+	0.572778i	−0.651954	+	0.758258i	$0.726051\pi$
$860$	−2.35170	−	17.7848i	−0.0801924	−	0.606455i
$861$	−30.9626	−	9.81183i	−1.05520	−	0.334386i
$862$	−5.62476	+	20.9919i	−0.191580	+	0.714986i
$863$	−0.109624	−	0.409122i	−0.00373165	−	0.0139267i	0.964035	−	0.265776i	$-0.0856280\pi$
$863$	−0.109624	−	0.409122i	−0.00373165	−	0.0139267i	−0.967767	+	0.251849i	$0.918961\pi$
$864$	−15.7226	−	21.6775i	−0.534894	−	0.737483i
$865$	−4.23755	−	1.75243i	−0.144081	−	0.0595843i
$866$		−	7.23577i		−	0.245881i
$867$	23.1645	+	15.0522i	0.786709	+	0.511199i
$868$	−22.2817	+	6.15102i	−0.756290	+	0.208779i
$869$	9.53065	+	5.50253i	0.323305	+	0.186660i
$870$	−25.3648	+	2.00384i	−0.859948	+	0.0679364i
$871$	−2.57315	−	1.48561i	−0.0871877	−	0.0503379i
$872$	8.92760	−	33.3182i	0.302327	−	1.12830i
$873$	0.431893	+	0.166058i	0.0146173	+	0.00562020i
$874$	43.4226			1.46879
$875$	3.58939	−	29.3618i	0.121343	−	0.992611i
$876$	10.8262	+	3.52089i	0.365782	+	0.118960i
$877$	10.1232	−	37.7802i	0.341836	−	1.27575i	−0.554430	−	0.832230i	$-0.687064\pi$
$877$	10.1232	−	37.7802i	0.341836	−	1.27575i	0.896266	−	0.443518i	$-0.146270\pi$
$878$	−13.5060	−	13.5060i	−0.455804	−	0.455804i
$879$	32.6339	−	6.92728i	1.10072	−	0.233651i
$880$	0.387333	−	2.95508i	0.0130570	−	0.0996157i
$881$		−	34.8974i		−	1.17572i	−0.808961	−	0.587862i	$-0.799970\pi$
$881$		−	34.8974i		−	1.17572i	0.808961	−	0.587862i	$-0.200030\pi$
$882$	−19.2591	−	7.07303i	−0.648488	−	0.238161i
$883$	−38.1289	+	38.1289i	−1.28314	+	1.28314i	−0.344268	+	0.938872i	$0.611873\pi$
$883$	−38.1289	+	38.1289i	−1.28314	+	1.28314i	−0.938872	+	0.344268i	$0.888127\pi$
$884$			0.569564i			0.0191565i
$885$	−4.03455	+	1.43006i	−0.135620	+	0.0480709i
$886$	36.6179			1.23020
$887$	−45.5781	−	12.2126i	−1.53036	−	0.410060i	−0.607226	−	0.794529i	$-0.707718\pi$
$887$	−45.5781	−	12.2126i	−1.53036	−	0.410060i	−0.923138	+	0.384469i	$0.874384\pi$
$888$	−15.9816	+	24.5948i	−0.536306	+	0.825347i
$889$	−6.05524	−	3.43531i	−0.203086	−	0.115217i
$890$	−31.3445	+	24.0798i	−1.05067	+	0.807157i
$891$	9.84862	−	10.9141i	0.329941	−	0.365636i
$892$	26.7688	+	7.17267i	0.896285	+	0.240159i
$893$	3.06065	+	11.4225i	0.102421	+	0.382240i
$894$	−5.89488	−	1.91713i	−0.197154	−	0.0641186i
$895$	−22.9359	+	29.9258i	−0.766661	+	1.00031i
$896$	4.95269	−	8.72986i	0.165458	−	0.291644i
$897$	−6.82458	−	0.359522i	−0.227866	−	0.0120041i
$898$	−12.8636	+	12.8636i	−0.429265	+	0.429265i
$899$	28.0960	+	48.6638i	0.937055	+	1.62303i
$900$	−9.87642	−	12.1816i	−0.329214	−	0.406052i
$901$	−1.24144	−	0.716748i	−0.0413585	−	0.0238783i
$902$	−10.9255	−	2.92747i	−0.363779	−	0.0974742i
$903$	−35.1299	−	1.58482i	−1.16905	−	0.0527395i
$904$	−53.6218	−	30.9586i	−1.78344	−	1.02967i
$905$	17.4528	+	42.0670i	0.580149	+	1.39835i
$906$	−3.30617	+	0.701809i	−0.109840	+	0.0233160i
$907$	−24.2493	+	6.49758i	−0.805185	+	0.215749i	−0.637859	−	0.770153i	$-0.720180\pi$
$907$	−24.2493	+	6.49758i	−0.805185	+	0.215749i	−0.167326	+	0.985902i	$0.553513\pi$
$908$	−17.1846	+	4.60461i	−0.570293	+	0.152809i
$909$	19.7556	+	14.3697i	0.655251	+	0.476612i
$910$	3.04265	−	0.425729i	0.100863	−	0.0141128i
$911$	18.7147	+	32.4148i	0.620045	+	1.07395i	0.989477	+	0.144692i	$0.0462191\pi$
$911$	18.7147	+	32.4148i	0.620045	+	1.07395i	−0.369431	+	0.929258i	$0.620448\pi$
$912$	−4.61084	+	7.09585i	−0.152680	+	0.234967i
$913$	−4.52580	−	4.52580i	−0.149782	−	0.149782i
$914$			28.5162i			0.943233i
$915$	−17.7733	−	50.1429i	−0.587567	−	1.65767i
$916$	12.6680	−	7.31387i	0.418562	−	0.241657i
$917$	3.91293	−	3.97246i	0.129216	−	0.131182i
$918$	1.86066	+	4.85902i	0.0614108	+	0.160372i
$919$	−31.8867	−	18.4098i	−1.05184	−	0.607283i	−0.128680	−	0.991686i	$-0.541074\pi$
$919$	−31.8867	−	18.4098i	−1.05184	−	0.607283i	−0.923165	+	0.384403i	$0.874407\pi$
$920$	30.0427	−	39.1985i	0.990477	−	1.29234i
$921$	11.9166	−	10.7239i	0.392664	−	0.353363i
$922$	−14.4098	−	3.86110i	−0.474562	−	0.127159i
$923$	3.26414	−	0.874623i	0.107440	−	0.0287886i
$924$	7.46012	+	2.36406i	0.245420	+	0.0777719i
$925$	−14.2005	+	24.6607i	−0.466909	+	0.810839i
$926$	−20.2211	+	35.0240i	−0.664507	+	1.15096i
$927$	11.0558	−	28.7546i	0.363121	−	0.944426i
$928$	−33.4736	−	8.96921i	−1.09882	−	0.294429i
$929$	−10.8700			−0.356635			−0.178317	−	0.983973i	$-0.557065\pi$
$929$	−10.8700			−0.356635			−0.178317	+	0.983973i	$0.557065\pi$
$930$	13.6044	−	28.5441i	0.446106	−	0.935997i
$931$	−0.632793	−	41.9076i	−0.0207389	−	1.37346i
$932$	−12.4339	+	3.33164i	−0.407284	+	0.109132i
$933$	2.24454	−	42.6066i	0.0734828	−	1.39488i
$934$	8.83292	−	15.2991i	0.289022	−	0.500600i
$935$	1.43058	−	3.45930i	0.0467851	−	0.113131i
$936$	2.79093	−	3.83700i	0.0912244	−	0.125416i
$937$	−22.9760	+	22.9760i	−0.750592	+	0.750592i	−0.974590	−	0.223998i	$-0.928089\pi$
$937$	−22.9760	+	22.9760i	−0.750592	+	0.750592i	0.223998	+	0.974590i	$0.428089\pi$
$938$	−3.84493	−	13.9280i	−0.125541	−	0.454766i
$939$	−29.4000	−	32.6699i	−0.959432	−	1.06614i
$940$	4.26672	+	1.76449i	0.139165	+	0.0575514i
$941$		−	36.3208i		−	1.18402i	−0.805929	−	0.592012i	$-0.798334\pi$
$941$		−	36.3208i		−	1.18402i	0.805929	−	0.592012i	$-0.201666\pi$
$942$	14.2766	+	0.752097i	0.465156	+	0.0245046i
$943$	−37.2026	−	37.2026i	−1.21148	−	1.21148i
$944$	0.901848			0.0293527
$945$	−26.9078	+	14.8652i	−0.875309	+	0.483563i
$946$	−12.2461			−0.398155
$947$	−8.17811	−	8.17811i	−0.265753	−	0.265753i	0.561633	−	0.827386i	$-0.310173\pi$
$947$	−8.17811	−	8.17811i	−0.265753	−	0.265753i	−0.827386	+	0.561633i	$0.810173\pi$
$948$	−12.1835	−	0.641831i	−0.395701	−	0.0208457i
$949$			3.34167i			0.108475i
$950$	−14.5955	+	25.3467i	−0.473539	+	0.822354i
$951$	12.3454	+	13.7185i	0.400328	+	0.444852i
$952$	−5.66196	+	5.74810i	−0.183505	+	0.186297i
$953$	39.2129	−	39.2129i	1.27023	−	1.27023i	0.324263	−	0.945967i	$-0.394884\pi$
$953$	39.2129	−	39.2129i	1.27023	−	1.27023i	0.945967	−	0.324263i	$-0.105116\pi$
$954$	1.66534	+	3.74590i	0.0539174	+	0.121278i
$955$	35.5947	−	14.7675i	1.15182	−	0.477866i
$956$	3.96794	−	6.87267i	0.128332	−	0.222278i
$957$	1.00081	−	18.9978i	0.0323517	−	0.614111i
$958$	7.69249	−	2.06120i	0.248533	−	0.0665942i
$959$	30.8631	−	18.1308i	0.996621	−	0.585475i
$960$	8.62655	+	24.3377i	0.278421	+	0.785494i
$961$	−38.8326			−1.25267
$962$	−2.85490	−	0.764969i	−0.0920458	−	0.0246636i
$963$	3.77036	−	0.595063i	0.121498	−	0.0191757i
$964$	3.15001	−	5.45598i	0.101455	−	0.175725i
$965$	9.24339	−	22.3515i	0.297555	−	0.719520i
$966$	−22.4170	−	24.5351i	−0.721255	−	0.789405i
$967$	1.19560	−	0.320359i	0.0384478	−	0.0103021i	−0.239544	−	0.970886i	$-0.576998\pi$
$967$	1.19560	−	0.320359i	0.0384478	−	0.0103021i	0.277992	+	0.960583i	$0.410331\pi$
$968$	−23.9463	−	6.41638i	−0.769662	−	0.206230i
$969$	−7.90082	+	7.11004i	−0.253811	+	0.228408i
$970$	−0.267440	−	0.204972i	−0.00858697	−	0.00658126i
$971$	−36.8435	−	21.2716i	−1.18237	−	0.682639i	−0.225805	−	0.974173i	$-0.572501\pi$
$971$	−36.8435	−	21.2716i	−1.18237	−	0.682639i	−0.956561	+	0.291533i	$0.905835\pi$
$972$	−4.23951	+	15.7364i	−0.135982	+	0.504746i
$973$	−8.57468	+	32.9955i	−0.274892	+	1.05779i
$974$	3.44318	−	1.98792i	0.110327	−	0.0636971i
$975$	2.50378	−	3.86280i	0.0801851	−	0.123709i
$976$			11.2085i			0.358776i
$977$	−5.18957	−	5.18957i	−0.166029	−	0.166029i	0.619202	−	0.785231i	$-0.287456\pi$
$977$	−5.18957	−	5.18957i	−0.166029	−	0.166029i	−0.785231	+	0.619202i	$0.787456\pi$
$978$	−2.04452	+	3.14642i	−0.0653767	+	0.100611i
$979$	−14.7766	−	25.5939i	−0.472264	−	0.817985i
$980$	−13.1373	−	9.75741i	−0.419654	−	0.311689i
$981$	−31.7795	+	14.1284i	−1.01464	+	0.451086i
$982$	−26.6571	+	7.14274i	−0.850661	+	0.227934i
$983$	29.1512	−	7.81104i	0.929778	−	0.249133i	0.238018	−	0.971261i	$-0.423502\pi$
$983$	29.1512	−	7.81104i	0.929778	−	0.249133i	0.691760	+	0.722127i	$0.256836\pi$
$984$	35.7310	−	7.58470i	1.13906	−	0.241792i
$985$	13.6335	+	5.63811i	0.434401	+	0.179645i
$986$	5.83117	+	3.36663i	0.185702	+	0.107215i
$987$	4.87401	−	7.62625i	0.155142	−	0.242746i
$988$	3.21397	+	0.861181i	0.102250	+	0.0273978i
$989$	−49.3310	−	28.4813i	−1.56864	−	0.905652i
$990$	−9.12756	+	5.59369i	−0.290093	+	0.177779i
$991$	−25.4329	−	44.0511i	−0.807903	−	1.39933i	−0.914314	−	0.405007i	$-0.867269\pi$
$991$	−25.4329	−	44.0511i	−0.807903	−	1.39933i	0.106411	−	0.994322i	$-0.466064\pi$
$992$	30.4527	−	30.4527i	0.966875	−	0.966875i
$993$	−10.8052	−	0.569223i	−0.342892	−	0.0180637i
$994$	14.2934	+	8.10905i	0.453359	+	0.257203i
$995$	9.16909	+	7.02740i	0.290680	+	0.222784i
$996$	6.74775	+	2.19450i	0.213810	+	0.0695355i
$997$	−1.62432	−	6.06203i	−0.0514426	−	0.191986i	0.935423	−	0.353531i	$-0.115019\pi$
$997$	−1.62432	−	6.06203i	−0.0514426	−	0.191986i	−0.986865	+	0.161545i	$0.948352\pi$
$998$	23.3735	+	6.26292i	0.739876	+	0.198249i
$999$	29.4139	−	3.06727i	0.930616	−	0.0970440i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.bs.e.292.13	yes	160
3.2	odd	2		945.2.bv.e.712.28		160
5.3	odd	4	inner	315.2.bs.e.103.13	yes	160
7.3	odd	6		315.2.cg.e.157.28	yes	160
9.2	odd	6		945.2.cj.e.397.28		160
9.7	even	3		315.2.cg.e.187.13	yes	160
15.8	even	4		945.2.bv.e.523.28		160
21.17	even	6		945.2.cj.e.577.13		160
35.3	even	12		315.2.cg.e.283.13	yes	160
45.38	even	12		945.2.cj.e.208.13		160
45.43	odd	12		315.2.cg.e.313.28	yes	160
63.38	even	6		945.2.bv.e.262.28		160
63.52	odd	6	inner	315.2.bs.e.52.13	✓	160
105.38	odd	12		945.2.cj.e.388.28		160
315.38	odd	12		945.2.bv.e.73.28		160
315.178	even	12	inner	315.2.bs.e.178.13	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.bs.e.52.13	✓	160	63.52	odd	6	inner
315.2.bs.e.103.13	yes	160	5.3	odd	4	inner
315.2.bs.e.178.13	yes	160	315.178	even	12	inner
315.2.bs.e.292.13	yes	160	1.1	even	1	trivial
315.2.cg.e.157.28	yes	160	7.3	odd	6
315.2.cg.e.187.13	yes	160	9.7	even	3
315.2.cg.e.283.13	yes	160	35.3	even	12
315.2.cg.e.313.28	yes	160	45.43	odd	12
945.2.bv.e.73.28		160	315.38	odd	12
945.2.bv.e.262.28		160	63.38	even	6
945.2.bv.e.523.28		160	15.8	even	4
945.2.bv.e.712.28		160	3.2	odd	2
945.2.cj.e.208.13		160	45.38	even	12
945.2.cj.e.388.28		160	105.38	odd	12
945.2.cj.e.397.28		160	9.2	odd	6
945.2.cj.e.577.13		160	21.17	even	6

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:	\( N \)	\(=\)	\( 315 = 3^{2} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	315.bs (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.690838 - 0.690838i) q^{2} +(-1.72965 - 0.0911190i) q^{3} -1.04549i q^{4} +(2.06537 - 0.856882i) q^{5} +(1.13196 + 1.25786i) q^{6} +(2.55036 - 0.704044i) q^{7} +(-2.10394 + 2.10394i) q^{8} +(2.98339 + 0.315208i) q^{9} +O(q^{10})\)	\(q+(-0.690838 - 0.690838i) q^{2} +(-1.72965 - 0.0911190i) q^{3} -1.04549i q^{4} +(2.06537 - 0.856882i) q^{5} +(1.13196 + 1.25786i) q^{6} +(2.55036 - 0.704044i) q^{7} +(-2.10394 + 2.10394i) q^{8} +(2.98339 + 0.315208i) q^{9} +(-2.01880 - 0.834870i) q^{10} +(0.816710 - 1.41458i) q^{11} +(-0.0952635 + 1.80833i) q^{12} +(-0.513429 + 0.137573i) q^{13} +(-2.24826 - 1.27550i) q^{14} +(-3.65045 + 1.29391i) q^{15} +0.815990 q^{16} +(0.989992 + 0.265268i) q^{17} +(-1.84329 - 2.27880i) q^{18} +(2.99374 - 5.18531i) q^{19} +(-0.895857 - 2.15931i) q^{20} +(-4.47538 + 0.985366i) q^{21} +(-1.54146 + 0.413034i) q^{22} +(-7.17009 - 1.92122i) q^{23} +(3.83079 - 3.44737i) q^{24} +(3.53151 - 3.53956i) q^{25} +(0.449737 + 0.259656i) q^{26} +(-5.13151 - 0.817045i) q^{27} +(-0.736068 - 2.66636i) q^{28} +(-5.82340 + 3.36214i) q^{29} +(3.41576 + 1.62799i) q^{30} -8.35659i q^{31} +(3.64416 + 3.64416i) q^{32} +(-1.54152 + 2.37232i) q^{33} +(-0.500668 - 0.867182i) q^{34} +(4.66415 - 3.63947i) q^{35} +(0.329546 - 3.11909i) q^{36} +(-5.49748 + 1.47305i) q^{37} +(-5.65040 + 1.51402i) q^{38} +(0.900589 - 0.191170i) q^{39} +(-2.54258 + 6.14824i) q^{40} +(6.13816 + 3.54387i) q^{41} +(3.77249 + 2.41104i) q^{42} +(7.41230 + 1.98612i) q^{43} +(-1.47893 - 0.853858i) q^{44} +(6.43191 - 1.90539i) q^{45} +(3.62612 + 6.28062i) q^{46} +(-1.39656 + 1.39656i) q^{47} +(-1.41138 - 0.0743522i) q^{48} +(6.00864 - 3.59113i) q^{49} +(-4.88496 + 0.00555968i) q^{50} +(-1.68817 - 0.549028i) q^{51} +(0.143830 + 0.536782i) q^{52} +(-1.35099 - 0.361997i) q^{53} +(2.98060 + 4.10949i) q^{54} +(0.474678 - 3.62146i) q^{55} +(-3.88453 + 6.84706i) q^{56} +(-5.65061 + 8.69599i) q^{57} +(6.34572 + 1.70033i) q^{58} +1.10522 q^{59} +(1.35277 + 3.81649i) q^{60} +13.7361i q^{61} +(-5.77305 + 5.77305i) q^{62} +(7.83064 - 1.29655i) q^{63} -6.66703i q^{64} +(-0.942537 + 0.724087i) q^{65} +(2.70383 - 0.573948i) q^{66} +(3.95260 + 3.95260i) q^{67} +(0.277333 - 1.03502i) q^{68} +(12.2267 + 3.97637i) q^{69} +(-5.73645 - 0.707890i) q^{70} -6.35753 q^{71} +(-6.94005 + 5.61370i) q^{72} +(1.62714 - 6.07255i) q^{73} +(4.81551 + 2.78023i) q^{74} +(-6.43080 + 5.80041i) q^{75} +(-5.42116 - 3.12991i) q^{76} +(1.08697 - 4.18269i) q^{77} +(-0.754229 - 0.490094i) q^{78} +6.73743i q^{79} +(1.68532 - 0.699207i) q^{80} +(8.80129 + 1.88078i) q^{81} +(-1.79224 - 6.68871i) q^{82} +(1.01416 - 3.78491i) q^{83} +(1.03019 + 4.67895i) q^{84} +(2.27200 - 0.300430i) q^{85} +(-3.74861 - 6.49278i) q^{86} +(10.3788 - 5.28471i) q^{87} +(1.25789 + 4.69450i) q^{88} +(9.04644 - 15.6689i) q^{89} +(-5.75973 - 3.12709i) q^{90} +(-1.21257 + 0.712336i) q^{91} +(-2.00861 + 7.49622i) q^{92} +(-0.761444 + 14.4540i) q^{93} +1.92959 q^{94} +(1.73998 - 13.2749i) q^{95} +(-5.97107 - 6.63518i) q^{96} +(0.148983 + 0.0399199i) q^{97} +(-6.63189 - 1.67011i) q^{98} +(2.88246 - 3.96283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 4 q^{2} - 18 q^{3} - 6 q^{5} + 24 q^{6} - 16 q^{8}+O(q^{10}) \) 160 * q + 4 * q^2 - 18 * q^3 - 6 * q^5 + 24 * q^6 - 16 * q^8	\( 160 q + 4 q^{2} - 18 q^{3} - 6 q^{5} + 24 q^{6} - 16 q^{8} - 24 q^{10} - 16 q^{11} - 30 q^{12} + 16 q^{15} - 152 q^{16} - 6 q^{17} + 58 q^{18} + 60 q^{20} - 36 q^{21} + 8 q^{22} + 8 q^{23} + 2 q^{25} - 36 q^{26} - 36 q^{27} + 22 q^{28} - 26 q^{30} + 12 q^{32} - 6 q^{33} - 36 q^{35} - 32 q^{36} - 4 q^{37} - 18 q^{38} - 6 q^{40} - 12 q^{41} - 28 q^{42} - 4 q^{43} - 54 q^{45} - 16 q^{46} - 18 q^{48} - 44 q^{50} + 80 q^{51} + 54 q^{52} + 8 q^{53} + 148 q^{56} - 4 q^{57} + 28 q^{58} + 104 q^{60} - 60 q^{63} - 124 q^{65} + 36 q^{66} - 24 q^{67} + 42 q^{68} - 34 q^{70} - 40 q^{71} + 70 q^{72} + 36 q^{73} - 60 q^{75} + 96 q^{76} + 58 q^{77} - 62 q^{78} + 36 q^{80} + 8 q^{81} - 66 q^{82} - 138 q^{83} - 20 q^{85} - 16 q^{86} + 102 q^{87} + 46 q^{88} + 18 q^{90} - 48 q^{91} - 26 q^{92} + 82 q^{93} + 188 q^{95} - 48 q^{96} + 48 q^{97} + 102 q^{98}+O(q^{100}) \) 160 * q + 4 * q^2 - 18 * q^3 - 6 * q^5 + 24 * q^6 - 16 * q^8 - 24 * q^10 - 16 * q^11 - 30 * q^12 + 16 * q^15 - 152 * q^16 - 6 * q^17 + 58 * q^18 + 60 * q^20 - 36 * q^21 + 8 * q^22 + 8 * q^23 + 2 * q^25 - 36 * q^26 - 36 * q^27 + 22 * q^28 - 26 * q^30 + 12 * q^32 - 6 * q^33 - 36 * q^35 - 32 * q^36 - 4 * q^37 - 18 * q^38 - 6 * q^40 - 12 * q^41 - 28 * q^42 - 4 * q^43 - 54 * q^45 - 16 * q^46 - 18 * q^48 - 44 * q^50 + 80 * q^51 + 54 * q^52 + 8 * q^53 + 148 * q^56 - 4 * q^57 + 28 * q^58 + 104 * q^60 - 60 * q^63 - 124 * q^65 + 36 * q^66 - 24 * q^67 + 42 * q^68 - 34 * q^70 - 40 * q^71 + 70 * q^72 + 36 * q^73 - 60 * q^75 + 96 * q^76 + 58 * q^77 - 62 * q^78 + 36 * q^80 + 8 * q^81 - 66 * q^82 - 138 * q^83 - 20 * q^85 - 16 * q^86 + 102 * q^87 + 46 * q^88 + 18 * q^90 - 48 * q^91 - 26 * q^92 + 82 * q^93 + 188 * q^95 - 48 * q^96 + 48 * q^97 + 102 * q^98

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