LMFDB - Embedded newform 315.2.bs.e.52.19

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			52.19
Character	$\chi$	$=$	315.52
Dual form			315.2.bs.e.103.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.141728 - 0.141728i) q^{2} +(0.505641 - 1.65660i) q^{3} -1.95983i q^{4} +(-1.15314 + 1.91579i) q^{5} +(-0.306450 + 0.163123i) q^{6} +(-2.32441 - 1.26377i) q^{7} +(-0.561218 + 0.561218i) q^{8} +(-2.48865 - 1.67529i) q^{9} +O(q^{10})$	\(q+(-0.141728 - 0.141728i) q^{2} +(0.505641 - 1.65660i) q^{3} -1.95983i q^{4} +(-1.15314 + 1.91579i) q^{5} +(-0.306450 + 0.163123i) q^{6} +(-2.32441 - 1.26377i) q^{7} +(-0.561218 + 0.561218i) q^{8} +(-2.48865 - 1.67529i) q^{9} +(0.434954 - 0.108090i) q^{10} +(-0.276270 - 0.478514i) q^{11} +(-3.24665 - 0.990969i) q^{12} +(0.955093 - 3.56446i) q^{13} +(0.150323 + 0.508546i) q^{14} +(2.59063 + 2.87900i) q^{15} -3.76057 q^{16} +(-0.162764 - 0.607442i) q^{17} +(0.115276 + 0.590148i) q^{18} +(1.08898 + 1.88617i) q^{19} +(3.75463 + 2.25995i) q^{20} +(-3.26888 + 3.21161i) q^{21} +(-0.0286636 + 0.106974i) q^{22} +(-0.479156 - 1.78823i) q^{23} +(0.645940 + 1.21349i) q^{24} +(-2.34054 - 4.41836i) q^{25} +(-0.640547 + 0.369820i) q^{26} +(-4.03366 + 3.27561i) q^{27} +(-2.47677 + 4.55544i) q^{28} +(2.85008 + 1.64550i) q^{29} +(0.0408692 - 0.775200i) q^{30} +2.44541i q^{31} +(1.65541 + 1.65541i) q^{32} +(-0.932400 + 0.215713i) q^{33} +(-0.0630234 + 0.109160i) q^{34} +(5.10149 - 2.99579i) q^{35} +(-3.28328 + 4.87733i) q^{36} +(2.06124 - 7.69264i) q^{37} +(0.112984 - 0.421663i) q^{38} +(-5.42195 - 3.38454i) q^{39} +(-0.428016 - 1.72234i) q^{40} +(9.13441 - 5.27375i) q^{41} +(0.918466 + 0.00811677i) q^{42} +(-0.957163 - 3.57218i) q^{43} +(-0.937804 + 0.541441i) q^{44} +(6.07928 - 2.83591i) q^{45} +(-0.185533 + 0.321353i) q^{46} +(-1.05004 + 1.05004i) q^{47} +(-1.90150 + 6.22977i) q^{48} +(3.80578 + 5.87504i) q^{49} +(-0.294485 + 0.957925i) q^{50} +(-1.08859 - 0.0375133i) q^{51} +(-6.98572 - 1.87182i) q^{52} +(-1.89953 - 7.08915i) q^{53} +(1.03593 + 0.107436i) q^{54} +(1.23531 + 0.0225163i) q^{55} +(2.01375 - 0.595252i) q^{56} +(3.67527 - 0.850284i) q^{57} +(-0.170724 - 0.637149i) q^{58} +12.3792 q^{59} +(5.64233 - 5.07719i) q^{60} -9.42741i q^{61} +(0.346583 - 0.346583i) q^{62} +(3.66747 + 7.03915i) q^{63} +7.05191i q^{64} +(5.72741 + 5.94008i) q^{65} +(0.162720 + 0.101575i) q^{66} +(-0.492688 - 0.492688i) q^{67} +(-1.19048 + 0.318989i) q^{68} +(-3.20467 - 0.110435i) q^{69} +(-1.14761 - 0.298436i) q^{70} -11.4025 q^{71} +(2.33688 - 0.456474i) q^{72} +(11.4796 - 3.07595i) q^{73} +(-1.38240 + 0.798128i) q^{74} +(-8.50293 + 1.64324i) q^{75} +(3.69657 - 2.13422i) q^{76} +(0.0374344 + 1.46140i) q^{77} +(0.288757 + 1.24813i) q^{78} +11.5634i q^{79} +(4.33646 - 7.20448i) q^{80} +(3.38680 + 8.33844i) q^{81} +(-2.04204 - 0.547163i) q^{82} +(-6.82464 + 1.82866i) q^{83} +(6.29420 + 6.40643i) q^{84} +(1.35142 + 0.388644i) q^{85} +(-0.370621 + 0.641935i) q^{86} +(4.16705 - 3.88942i) q^{87} +(0.423598 + 0.113503i) q^{88} +(8.85207 + 15.3322i) q^{89} +(-1.26353 - 0.459677i) q^{90} +(-6.72468 + 7.07825i) q^{91} +(-3.50463 + 0.939062i) q^{92} +(4.05106 + 1.23650i) q^{93} +0.297639 q^{94} +(-4.86927 - 0.0887534i) q^{95} +(3.57941 - 1.90532i) q^{96} +(-3.29473 - 12.2961i) q^{97} +(0.293272 - 1.37204i) q^{98} +(-0.114109 + 1.65369i) 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 $\left(\mathbb{Z}/315\mathbb{Z}\right)^\times$.

$n$	$127$	$136$	$281$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.141728	−	0.141728i	−0.100217	−	0.100217i	0.655221	−	0.755438i	$-0.272576\pi$
$2$	−0.141728	−	0.141728i	−0.100217	−	0.100217i	−0.755438	+	0.655221i	$0.772576\pi$
$3$	0.505641	−	1.65660i	0.291932	−	0.956439i
$3$	0.505641	−	1.65660i	0.291932	−	0.956439i
$4$		−	1.95983i		−	0.979913i
$5$	−1.15314	+	1.91579i	−0.515700	+	0.856769i
$5$	−1.15314	+	1.91579i	−0.515700	+	0.856769i
$6$	−0.306450	+	0.163123i	−0.125108	+	0.0665948i
$7$	−2.32441	−	1.26377i	−0.878545	−	0.477660i
$7$	−2.32441	−	1.26377i	−0.878545	−	0.477660i
$8$	−0.561218	+	0.561218i	−0.198421	+	0.198421i
$9$	−2.48865	−	1.67529i	−0.829551	−	0.558430i
$10$	0.434954	−	0.108090i	0.137544	−	0.0341809i
$11$	−0.276270	−	0.478514i	−0.0832985	−	0.144277i	0.821366	−	0.570401i	$-0.193212\pi$
$11$	−0.276270	−	0.478514i	−0.0832985	−	0.144277i	−0.904665	+	0.426124i	$0.859879\pi$
$12$	−3.24665	−	0.990969i	−0.937227	−	0.286068i
$13$	0.955093	−	3.56446i	0.264895	−	0.988603i	−0.697419	−	0.716663i	$-0.745668\pi$
$13$	0.955093	−	3.56446i	0.264895	−	0.988603i	0.962314	−	0.271939i	$-0.0876649\pi$
$14$	0.150323	+	0.508546i	0.0401754	+	0.135915i
$15$	2.59063	+	2.87900i	0.668899	+	0.743354i
$16$	−3.76057			−0.940143
$17$	−0.162764	−	0.607442i	−0.0394760	−	0.147326i	0.943375	−	0.331729i	$-0.107632\pi$
$17$	−0.162764	−	0.607442i	−0.0394760	−	0.147326i	−0.982851	+	0.184402i	$0.940965\pi$
$18$	0.115276	+	0.590148i	0.0271709	+	0.139099i
$19$	1.08898	+	1.88617i	0.249830	+	0.432718i	0.963478	−	0.267786i	$-0.0862920\pi$
$19$	1.08898	+	1.88617i	0.249830	+	0.432718i	−0.713649	+	0.700504i	$0.752959\pi$
$20$	3.75463	+	2.25995i	0.839560	+	0.505341i
$21$	−3.26888	+	3.21161i	−0.713328	+	0.700830i
$22$	−0.0286636	+	0.106974i	−0.00611110	+	0.0228069i
$23$	−0.479156	−	1.78823i	−0.0999109	−	0.372873i	0.897807	−	0.440389i	$-0.145159\pi$
$23$	−0.479156	−	1.78823i	−0.0999109	−	0.372873i	−0.997718	+	0.0675160i	$0.978493\pi$
$24$	0.645940	+	1.21349i	0.131852	+	0.247703i
$25$	−2.34054	−	4.41836i	−0.468108	−	0.883671i
$26$	−0.640547	+	0.369820i	−0.125622	+	0.0725276i
$27$	−4.03366	+	3.27561i	−0.776277	+	0.630392i
$28$	−2.47677	+	4.55544i	−0.468065	+	0.860898i
$29$	2.85008	+	1.64550i	0.529247	+	0.305561i	0.740710	−	0.671825i	$-0.234489\pi$
$29$	2.85008	+	1.64550i	0.529247	+	0.305561i	−0.211463	+	0.977386i	$0.567823\pi$
$30$	0.0408692	−	0.775200i	0.00746166	−	0.141531i
$31$			2.44541i			0.439208i	0.975589	+	0.219604i	$0.0704765\pi$
$31$			2.44541i			0.439208i	−0.975589	+	0.219604i	$0.929523\pi$
$32$	1.65541	+	1.65541i	0.292639	+	0.292639i
$33$	−0.932400	+	0.215713i	−0.162310	+	0.0375508i
$34$	−0.0630234	+	0.109160i	−0.0108084	+	0.0187207i
$35$	5.10149	−	2.99579i	0.862310	−	0.506382i
$36$	−3.28328	+	4.87733i	−0.547213	+	0.812888i
$37$	2.06124	−	7.69264i	0.338865	−	1.26466i	−0.560752	−	0.827984i	$-0.689488\pi$
$37$	2.06124	−	7.69264i	0.338865	−	1.26466i	0.899618	−	0.436679i	$-0.143845\pi$
$38$	0.112984	−	0.421663i	0.0183285	−	0.0684028i
$39$	−5.42195	−	3.38454i	−0.868207	−	0.541961i
$40$	−0.428016	−	1.72234i	−0.0676753	−	0.272326i
$41$	9.13441	−	5.27375i	1.42655	−	0.823622i	0.429708	−	0.902968i	$-0.358617\pi$
$41$	9.13441	−	5.27375i	1.42655	−	0.823622i	0.996847	+	0.0793463i	$0.0252833\pi$
$42$	0.918466	+	0.00811677i	0.141722	+	0.00125244i
$43$	−0.957163	−	3.57218i	−0.145966	−	0.544753i	−0.999711	−	0.0240604i	$-0.992341\pi$
$43$	−0.957163	−	3.57218i	−0.145966	−	0.544753i	0.853744	−	0.520692i	$-0.174326\pi$
$44$	−0.937804	+	0.541441i	−0.141379	+	0.0816253i
$45$	6.07928	−	2.83591i	0.906245	−	0.422752i
$46$	−0.185533	+	0.321353i	−0.0273554	+	0.0473809i
$47$	−1.05004	+	1.05004i	−0.153163	+	0.153163i	−0.779529	−	0.626366i	$-0.784542\pi$
$47$	−1.05004	+	1.05004i	−0.153163	+	0.153163i	0.626366	+	0.779529i	$0.284542\pi$
$48$	−1.90150	+	6.22977i	−0.274458	+	0.899190i
$49$	3.80578	+	5.87504i	0.543682	+	0.839291i
$50$	−0.294485	+	0.957925i	−0.0416465	+	0.135471i
$51$	−1.08859	−	0.0375133i	−0.152433	−	0.00525292i
$52$	−6.98572	−	1.87182i	−0.968745	−	0.259574i
$53$	−1.89953	−	7.08915i	−0.260921	−	0.973770i	−0.964700	−	0.263351i	$-0.915172\pi$
$53$	−1.89953	−	7.08915i	−0.260921	−	0.973770i	0.703779	−	0.710419i	$-0.251494\pi$
$54$	1.03593	+	0.107436i	0.140972	+	0.0146202i
$55$	1.23531	+	0.0225163i	0.166569	+	0.00303610i
$56$	2.01375	−	0.595252i	0.269099	−	0.0795439i
$57$	3.67527	−	0.850284i	0.486802	−	0.112623i
$58$	−0.170724	−	0.637149i	−0.0224171	−	0.0836618i
$59$	12.3792			1.61163			0.805817	−	0.592165i	$-0.201727\pi$
$59$	12.3792			1.61163			0.805817	+	0.592165i	$0.201727\pi$
$60$	5.64233	−	5.07719i	0.728422	−	0.655463i
$61$		−	9.42741i		−	1.20706i	−0.797342	−	0.603528i	$-0.793761\pi$
$61$		−	9.42741i		−	1.20706i	0.797342	−	0.603528i	$-0.206239\pi$
$62$	0.346583	−	0.346583i	0.0440160	−	0.0440160i
$63$	3.66747	+	7.03915i	0.462058	+	0.886849i
$64$			7.05191i			0.881488i
$65$	5.72741	+	5.94008i	0.710398	+	0.736776i
$66$	0.162720	+	0.101575i	0.0200294	+	0.0125030i
$67$	−0.492688	−	0.492688i	−0.0601914	−	0.0601914i	0.676370	−	0.736562i	$-0.263552\pi$
$67$	−0.492688	−	0.492688i	−0.0601914	−	0.0601914i	−0.736562	+	0.676370i	$0.763552\pi$
$68$	−1.19048	+	0.318989i	−0.144367	+	0.0386830i
$69$	−3.20467	−	0.110435i	−0.385797	−	0.0132948i
$70$	−1.14761	−	0.298436i	−0.137166	−	0.0356700i
$71$	−11.4025			−1.35322			−0.676611	−	0.736341i	$-0.736552\pi$
$71$	−11.4025			−1.35322			−0.676611	+	0.736341i	$0.736552\pi$
$72$	2.33688	−	0.456474i	0.275404	−	0.0537960i
$73$	11.4796	−	3.07595i	1.34358	−	0.360012i	0.485821	−	0.874058i	$-0.338521\pi$
$73$	11.4796	−	3.07595i	1.34358	−	0.360012i	0.857763	+	0.514046i	$0.171854\pi$
$74$	−1.38240	+	0.798128i	−0.160700	+	0.0927804i
$75$	−8.50293	+	1.64324i	−0.981833	+	0.189745i
$76$	3.69657	−	2.13422i	0.424026	−	0.244812i
$77$	0.0374344	+	1.46140i	0.00426605	+	0.166542i
$78$	0.288757	+	1.24813i	0.0326953	+	0.141323i
$79$			11.5634i			1.30099i	0.759512	+	0.650493i	$0.225438\pi$
$79$			11.5634i			1.30099i	−0.759512	+	0.650493i	$0.774562\pi$
$80$	4.33646	−	7.20448i	0.484831	−	0.805486i
$81$	3.38680	+	8.33844i	0.376311	+	0.926493i
$82$	−2.04204	−	0.547163i	−0.225506	−	0.0604240i
$83$	−6.82464	+	1.82866i	−0.749101	+	0.200721i	−0.613119	−	0.789990i	$-0.710086\pi$
$83$	−6.82464	+	1.82866i	−0.749101	+	0.200721i	−0.135982	+	0.990711i	$0.543419\pi$
$84$	6.29420	+	6.40643i	0.686753	+	0.698999i
$85$	1.35142	+	0.388644i	0.146583	+	0.0421543i
$86$	−0.370621	+	0.641935i	−0.0399651	+	0.0692216i
$87$	4.16705	−	3.88942i	0.446755	−	0.416990i
$88$	0.423598	+	0.113503i	0.0451557	+	0.0120994i
$89$	8.85207	+	15.3322i	0.938317	+	1.62521i	0.768609	+	0.639719i	$0.220949\pi$
$89$	8.85207	+	15.3322i	0.938317	+	1.62521i	0.169708	+	0.985494i	$0.445718\pi$
$90$	−1.26353	−	0.459677i	−0.133188	−	0.0484542i
$91$	−6.72468	+	7.07825i	−0.704938	+	0.742002i
$92$	−3.50463	+	0.939062i	−0.365383	+	0.0979040i
$93$	4.05106	+	1.23650i	0.420076	+	0.128219i
$94$	0.297639			0.0306991
$95$	−4.86927	−	0.0887534i	−0.499577	−	0.00910590i
$96$	3.57941	−	1.90532i	0.365322	−	0.194461i
$97$	−3.29473	−	12.2961i	−0.334529	−	1.24848i	−0.904379	−	0.426730i	$-0.859665\pi$
$97$	−3.29473	−	12.2961i	−0.334529	−	1.24848i	0.569850	−	0.821749i	$-0.307001\pi$
$98$	0.293272	−	1.37204i	0.0296250	−	0.138597i
$99$	−0.114109	+	1.65369i	−0.0114684	+	0.166202i
$100$	−8.65921	+	4.58705i	−0.865921	+	0.458705i
$101$	−4.15515	+	2.39898i	−0.413453	+	0.238707i	−0.692272	−	0.721636i	$-0.743390\pi$
$101$	−4.15515	+	2.39898i	−0.413453	+	0.238707i	0.278819	+	0.960344i	$0.410057\pi$
$102$	0.148967	+	0.159600i	0.0147499	+	0.0158028i
$103$	17.0706	−	4.57405i	1.68201	−	0.450694i	0.713705	−	0.700447i	$-0.247016\pi$
$103$	17.0706	−	4.57405i	1.68201	−	0.450694i	0.968310	+	0.249753i	$0.0803493\pi$
$104$	1.46442	+	2.53645i	0.143598	+	0.248720i
$105$	−2.38331	−	9.96593i	−0.232587	−	0.972576i
$106$	−0.735514	+	1.27395i	−0.0714395	+	0.123737i
$107$	−3.77382	+	14.0841i	−0.364829	+	1.36156i	0.502822	+	0.864390i	$0.332295\pi$
$107$	−3.77382	+	14.0841i	−0.364829	+	1.36156i	−0.867652	+	0.497172i	$0.834372\pi$
$108$	6.41963	+	7.90526i	0.617729	+	0.760684i
$109$	−4.98581	−	2.87856i	−0.477554	−	0.275716i	0.241843	−	0.970315i	$-0.422248\pi$
$109$	−4.98581	−	2.87856i	−0.477554	−	0.275716i	−0.719397	+	0.694600i	$0.755582\pi$
$110$	−0.171887	−	0.178269i	−0.0163888	−	0.0169973i
$111$	−11.7014	−	7.30436i	−1.11065	−	0.693299i
$112$	8.74112	+	4.75249i	0.825958	+	0.449068i
$113$	−9.33096	−	2.50022i	−0.877783	−	0.235201i	−0.208332	−	0.978058i	$-0.566804\pi$
$113$	−9.33096	−	2.50022i	−0.877783	−	0.235201i	−0.669450	+	0.742857i	$0.733470\pi$
$114$	−0.641398	−	0.400380i	−0.0600724	−	0.0374990i
$115$	3.97842	+	1.14412i	0.370990	+	0.106690i
$116$	3.22489	−	5.58567i	0.299423	−	0.518616i
$117$	−8.34840	+	7.27064i	−0.771810	+	0.672171i
$118$	−1.75448	−	1.75448i	−0.161513	−	0.161513i
$119$	−0.389337	+	1.61764i	−0.0356905	+	0.148289i
$120$	−3.06966	−	0.161835i	−0.280220	−	0.0147734i
$121$	5.34735	−	9.26188i	0.486123	−	0.841989i
$122$	−1.33613	+	1.33613i	−0.120967	+	0.120967i
$123$	−4.11777	−	17.7987i	−0.371287	−	1.60485i
$124$	4.79257			0.430386
$125$	11.1636	+	0.610988i	0.998506	+	0.0546484i
$126$	0.477861	−	1.51743i	0.0425712	−	0.135183i
$127$	−2.14301	−	2.14301i	−0.190161	−	0.190161i	0.605605	−	0.795766i	$-0.292931\pi$
$127$	−2.14301	−	2.14301i	−0.190161	−	0.190161i	−0.795766	+	0.605605i	$0.792931\pi$
$128$	4.31028	−	4.31028i	0.380979	−	0.380979i
$129$	−6.40166	−	0.220604i	−0.563635	−	0.0194231i
$130$	0.0301407	−	1.65361i	0.00264352	−	0.145031i
$131$	3.16575	+	1.82775i	0.276593	+	0.159691i	0.631880	−	0.775066i	$-0.282283\pi$
$131$	3.16575	+	1.82775i	0.276593	+	0.159691i	−0.355287	+	0.934757i	$0.615617\pi$
$132$	0.422760	+	1.82734i	0.0367965	+	0.159050i
$133$	−0.147557	−	5.76047i	−0.0127948	−	0.499496i
$134$			0.139655i			0.0120644i
$135$	−1.62403	−	11.5049i	−0.139774	−	0.990183i
$136$	0.432254	+	0.249562i	0.0370654	+	0.0213997i
$137$	1.92445	−	7.18214i	0.164417	−	0.613611i	−0.833697	−	0.552222i	$-0.813780\pi$
$137$	1.92445	−	7.18214i	0.164417	−	0.613611i	0.998114	−	0.0613895i	$-0.0195532\pi$
$138$	0.438540	+	0.469843i	0.0373310	+	0.0399957i
$139$	−4.20486	−	7.28303i	−0.356651	−	0.617739i	0.630748	−	0.775988i	$-0.282748\pi$
$139$	−4.20486	−	7.28303i	−0.356651	−	0.617739i	−0.987399	+	0.158249i	$0.949415\pi$
$140$	−5.87124	−	9.99804i	−0.496210	−	0.844988i
$141$	1.20855	+	2.27043i	0.101778	+	0.191205i
$142$	1.61605	+	1.61605i	0.135616	+	0.135616i
$143$	−1.96950	+	0.527727i	−0.164698	+	0.0441308i
$144$	9.35876	+	6.30005i	0.779897	+	0.525004i
$145$	−6.43898	+	3.56269i	−0.534728	+	0.295865i
$146$	−2.06293	−	1.19103i	−0.170729	−	0.0985704i
$147$	11.6570	−	3.33399i	0.961449	−	0.274983i
$148$	−15.0762	−	4.03967i	−1.23926	−	0.332059i
$149$	−12.0001	−	6.92825i	−0.983085	−	0.567584i	−0.0798849	−	0.996804i	$-0.525455\pi$
$149$	−12.0001	−	6.92825i	−0.983085	−	0.567584i	−0.903200	+	0.429220i	$0.858789\pi$
$150$	1.43800	+	0.972210i	0.117412	+	0.0793806i
$151$	3.85322	+	6.67397i	0.313570	+	0.543120i	0.979133	−	0.203223i	$-0.0651415\pi$
$151$	3.85322	+	6.67397i	0.313570	+	0.543120i	−0.665562	+	0.746342i	$0.731808\pi$
$152$	−1.66971	−	0.447398i	−0.135432	−	0.0362888i
$153$	−0.612580	+	1.78439i	−0.0495242	+	0.144259i
$154$	0.201816	−	0.212427i	0.0162628	−	0.0171179i
$155$	−4.68490	−	2.81990i	−0.376300	−	0.226499i
$156$	−6.63312	+	10.6261i	−0.531075	+	0.850767i
$157$	−13.6616	+	13.6616i	−1.09032	+	1.09032i	−0.0948219	+	0.995494i	$0.530228\pi$
$157$	−13.6616	+	13.6616i	−1.09032	+	1.09032i	−0.995494	+	0.0948219i	$0.969772\pi$
$158$	1.63886	−	1.63886i	0.130381	−	0.130381i
$159$	−12.7044	−	0.437799i	−1.00752	−	0.0347197i
$160$	−5.08036	+	1.26251i	−0.401638	+	0.0998103i
$161$	−1.14616	+	4.76213i	−0.0903300	+	0.375309i
$162$	0.701786	−	1.66179i	0.0551375	−	0.130563i
$163$	19.0564	+	5.10614i	1.49261	+	0.399943i	0.910617	−	0.413251i	$-0.135607\pi$
$163$	19.0564	+	5.10614i	1.49261	+	0.399943i	0.581992	+	0.813194i	$0.302273\pi$
$164$	−10.3356	−	17.9019i	−0.807078	−	1.39790i
$165$	0.661925	−	2.03503i	0.0515308	−	0.158427i
$166$	1.22641	+	0.708070i	0.0951882	+	0.0549569i
$167$	−21.2599	−	5.69658i	−1.64514	−	0.440815i	−0.686896	−	0.726755i	$-0.741027\pi$
$167$	−21.2599	−	5.69658i	−1.64514	−	0.440815i	−0.958247	+	0.285941i	$0.907694\pi$
$168$	0.0321410	−	3.63697i	0.00247973	−	0.280598i
$169$	−0.534821	−	0.308779i	−0.0411401	−	0.0237522i
$170$	−0.136453	−	0.246616i	−0.0104655	−	0.0189146i
$171$	0.449789	−	6.51840i	0.0343962	−	0.498475i
$172$	−7.00086	+	1.87587i	−0.533810	+	0.143034i
$173$	8.60174	+	8.60174i	0.653978	+	0.653978i	0.953949	−	0.299970i	$-0.0969767\pi$
$173$	8.60174	+	8.60174i	0.653978	+	0.653978i	−0.299970	+	0.953949i	$0.596977\pi$
$174$	−1.14183	−	0.0393479i	−0.0865617	−	0.00298296i
$175$	−0.143405	+	13.2280i	−0.0108404	+	0.999941i
$176$	1.03893	+	1.79948i	0.0783125	+	0.135641i
$177$	6.25943	−	20.5074i	0.470488	−	1.54143i
$178$	0.918420	−	3.42759i	0.0688385	−	0.256909i
$179$	−11.7481	−	6.78276i	−0.878093	−	0.506967i	−0.00806384	−	0.999967i	$-0.502567\pi$
$179$	−11.7481	−	6.78276i	−0.878093	−	0.506967i	−0.870029	+	0.493000i	$0.835900\pi$
$180$	−5.55788	−	11.9143i	−0.414260	−	0.888042i
$181$			22.6484i			1.68344i	0.539911	+	0.841722i	$0.318458\pi$
$181$			22.6484i			1.68344i	−0.539911	+	0.841722i	$0.681542\pi$
$182$	1.95626	−	0.0501104i	0.145008	−	0.00371443i
$183$	−15.6175	−	4.76689i	−1.15448	−	0.352378i
$184$	1.27250	+	0.734679i	0.0938100	+	0.0541612i
$185$	12.3606	+	12.8196i	0.908771	+	0.942515i
$186$	−0.398903	−	0.749396i	−0.0292490	−	0.0549484i
$187$	−0.245703	+	0.245703i	−0.0179676	+	0.0179676i
$188$	2.05789	+	2.05789i	0.150087	+	0.150087i
$189$	13.5155	−	2.51626i	0.983107	−	0.183031i
$190$	0.677533	+	0.702691i	0.0491534	+	0.0509786i
$191$	−22.1197			−1.60053			−0.800264	−	0.599647i	$-0.795307\pi$
$191$	−22.1197			−1.60053			−0.800264	+	0.599647i	$0.795307\pi$
$192$	11.6822	+	3.56573i	0.843090	+	0.257335i
$193$	−1.09815	+	1.09815i	−0.0790468	+	0.0790468i	−0.745525	−	0.666478i	$-0.767801\pi$
$193$	−1.09815	+	1.09815i	−0.0790468	+	0.0790468i	0.666478	+	0.745525i	$0.267801\pi$
$194$	−1.27575	+	2.20966i	−0.0915932	+	0.158644i
$195$	12.7364	−	6.48449i	0.912069	−	0.464364i
$196$	11.5141	−	7.45866i	0.822432	−	0.532761i
$197$	5.16877	+	5.16877i	0.368260	+	0.368260i	0.866842	−	0.498582i	$-0.166146\pi$
$197$	5.16877	+	5.16877i	0.368260	+	0.368260i	−0.498582	+	0.866842i	$0.666146\pi$
$198$	0.250546	−	0.218201i	0.0178055	−	0.0155069i
$199$	0.107941	−	0.186959i	0.00765172	−	0.0132532i	−0.862174	−	0.506612i	$-0.830898\pi$
$199$	0.107941	−	0.186959i	0.00765172	−	0.0132532i	0.869826	+	0.493359i	$0.164231\pi$
$200$	3.79322	+	1.16611i	0.268221	+	0.0824564i
$201$	−1.06531	+	0.567064i	−0.0751412	+	0.0399976i
$202$	0.928904	+	0.248899i	0.0653575	+	0.0175125i
$203$	−4.54524	−	7.42666i	−0.319013	−	0.521249i
$204$	−0.0735196	+	2.13345i	−0.00514740	+	0.149371i
$205$	−0.429817	+	23.5810i	−0.0300197	+	1.64697i
$206$	−3.06765	−	1.77111i	−0.213733	−	0.123399i
$207$	−1.80336	+	5.25302i	−0.125342	+	0.365110i
$208$	−3.59170	+	13.4044i	−0.249039	+	0.929428i
$209$	0.601707	−	1.04219i	0.0416209	−	0.0720896i
$210$	−1.07467	+	1.75023i	−0.0741593	+	0.120778i
$211$	0.100868	+	0.174708i	0.00694402	+	0.0120274i	0.869477	−	0.493974i	$-0.164456\pi$
$211$	0.100868	+	0.174708i	0.00694402	+	0.0120274i	−0.862533	+	0.506002i	$0.831123\pi$
$212$	−13.8935	+	3.72275i	−0.954210	+	0.255680i
$213$	−5.76555	+	18.8893i	−0.395049	+	1.29427i
$214$	2.53097	−	1.46126i	0.173013	−	0.0998894i
$215$	7.94731	+	2.28549i	0.542002	+	0.155869i
$216$	0.425428	−	4.10209i	0.0289467	−	0.279112i
$217$	3.09043	−	5.68413i	0.209792	−	0.385864i
$218$	0.298656	+	1.11460i	0.0202276	+	0.0754903i
$219$	0.708936	−	20.5724i	0.0479054	−	1.39016i
$220$	0.0441281	−	2.42100i	0.00297511	−	0.163224i
$221$	−2.32066			−0.156104
$222$	0.623182	+	2.69365i	0.0418252	+	0.180786i
$223$	−6.51573	+	1.74589i	−0.436326	+	0.116913i	−0.470294	−	0.882510i	$-0.655852\pi$
$223$	−6.51573	+	1.74589i	−0.436326	+	0.116913i	0.0339683	+	0.999423i	$0.489185\pi$
$224$	−1.75580	−	5.93993i	−0.117315	−	0.396878i
$225$	−1.57724	+	14.9168i	−0.105149	+	0.994456i
$226$	0.968106	+	1.67681i	0.0643975	+	0.111540i
$227$	13.7267	+	3.67805i	0.911071	+	0.244121i	0.683765	−	0.729703i	$-0.260341\pi$
$227$	13.7267	+	3.67805i	0.911071	+	0.244121i	0.227306	+	0.973823i	$0.427008\pi$
$228$	−1.66641	−	7.20290i	−0.110361	−	0.477024i
$229$	4.25505	−	7.36997i	0.281182	−	0.487021i	−0.690494	−	0.723338i	$-0.742607\pi$
$229$	4.25505	−	7.36997i	0.281182	−	0.487021i	0.971676	+	0.236317i	$0.0759402\pi$
$230$	−0.401700	−	0.726008i	−0.0264873	−	0.0478715i
$231$	2.43989	+	0.676932i	0.160533	+	0.0445389i
$232$	−2.52300	+	0.676036i	−0.165643	+	0.0443839i
$233$	−22.6069	−	6.05750i	−1.48103	−	0.396840i	−0.574330	−	0.818624i	$-0.694737\pi$
$233$	−22.6069	−	6.05750i	−1.48103	−	0.396840i	−0.906696	+	0.421784i	$0.861404\pi$
$234$	2.21366	+	0.152749i	0.144711	+	0.00998550i
$235$	−0.800815	−	3.22249i	−0.0522394	−	0.210212i
$236$		−	24.2611i		−	1.57926i
$237$	19.1560	+	5.84694i	1.24431	+	0.379799i
$238$	0.284445	−	0.174085i	0.0184378	−	0.0112843i
$239$	20.9901	−	12.1186i	1.35774	−	0.783889i	0.368417	−	0.929661i	$-0.379900\pi$
$239$	20.9901	−	12.1186i	1.35774	−	0.783889i	0.989318	+	0.145772i	$0.0465665\pi$
$240$	−9.74226	−	10.8267i	−0.628860	−	0.698859i
$241$	7.25075	−	4.18622i	0.467062	−	0.269658i	−0.247947	−	0.968774i	$-0.579756\pi$
$241$	7.25075	−	4.18622i	0.467062	−	0.269658i	0.715009	+	0.699115i	$0.246423\pi$
$242$	−2.07054	+	0.554799i	−0.133099	+	0.0356638i
$243$	15.5260	−	1.39432i	0.995992	−	0.0894454i
$244$	−18.4761			−1.18281
$245$	−15.6440	+	0.516350i	−0.999456	+	0.0329884i
$246$	−1.93897	+	3.10618i	−0.123624	+	0.198043i
$247$	7.76327	−	2.08016i	0.493965	−	0.132358i
$248$	−1.37241	−	1.37241i	−0.0871479	−	0.0871479i
$249$	−0.421464	+	12.2303i	−0.0267092	+	0.775066i
$250$	−1.49561	−	1.66879i	−0.0945904	−	0.105544i
$251$			5.33613i			0.336813i	0.985718	+	0.168407i	$0.0538622\pi$
$251$			5.33613i			0.336813i	−0.985718	+	0.168407i	$0.946138\pi$
$252$	13.7955	−	7.18761i	0.869036	−	0.452777i
$253$	−0.723318	+	0.723318i	−0.0454746	+	0.0454746i
$254$			0.607448i			0.0381147i
$255$	1.32716	−	2.04226i	0.0831102	−	0.127891i
$256$	12.8820			0.805127
$257$	6.02579	+	22.4886i	0.375879	+	1.40280i	0.852057	+	0.523449i	$0.175355\pi$
$257$	6.02579	+	22.4886i	0.375879	+	1.40280i	−0.476178	+	0.879349i	$0.657978\pi$
$258$	0.876029	+	0.938560i	0.0545392	+	0.0584322i
$259$	−14.5129	+	15.2759i	−0.901787	+	0.949200i
$260$	11.6415	−	11.2247i	0.721977	−	0.696128i
$261$	−4.33619	−	8.86979i	−0.268403	−	0.549026i
$262$	−0.189633	−	0.707719i	−0.0117156	−	0.0437230i
$263$	15.6909	+	4.20436i	0.967541	+	0.259252i	0.707789	−	0.706423i	$-0.249693\pi$
$263$	15.6909	+	4.20436i	0.967541	+	0.259252i	0.259752	+	0.965675i	$0.416359\pi$
$264$	0.402218	−	0.644342i	0.0247548	−	0.0396565i
$265$	15.7718	+	4.53567i	0.968853	+	0.278624i
$266$	−0.795507	+	0.837333i	−0.0487756	+	0.0513402i
$267$	29.8754	−	6.91174i	1.82834	−	0.422991i
$268$	−0.965582	+	0.965582i	−0.0589823	+	0.0589823i
$269$	8.76625	−	15.1836i	0.534487	−	0.925759i	−0.464701	−	0.885468i	$-0.653838\pi$
$269$	8.76625	−	15.1836i	0.534487	−	0.925759i	0.999188	−	0.0402914i	$-0.0128286\pi$
$270$	−1.40039	+	1.86074i	−0.0852253	+	0.113241i
$271$	0.0995551	−	0.0574782i	0.00604754	−	0.00349155i	−0.496973	−	0.867766i	$-0.665555\pi$
$271$	0.0995551	−	0.0574782i	0.00604754	−	0.00349155i	0.503021	+	0.864274i	$0.332222\pi$
$272$	0.612085	+	2.28433i	0.0371131	+	0.138508i
$273$	8.32556	+	14.7192i	0.503886	+	0.890844i
$274$	−1.29066	+	0.745162i	−0.0779715	+	0.0450169i
$275$	−1.46762	+	2.34064i	−0.0885010	+	0.141146i
$276$	−0.216433	+	6.28060i	−0.0130277	+	0.378048i
$277$	0.0901543	−	0.336460i	0.00541684	−	0.0202159i	−0.963165	−	0.268913i	$-0.913336\pi$
$277$	0.0901543	−	0.336460i	0.00541684	−	0.0202159i	0.968581	+	0.248697i	$0.0800023\pi$
$278$	−0.436263	+	1.62816i	−0.0261653	+	0.0976503i
$279$	4.09677	−	6.08577i	0.245267	−	0.364346i
$280$	−1.18176	+	4.54434i	−0.0706235	+	0.271577i
$281$	3.64747	−	6.31761i	0.217590	−	0.376877i	−0.736481	−	0.676459i	$-0.763514\pi$
$281$	3.64747	−	6.31761i	0.217590	−	0.376877i	0.954071	+	0.299582i	$0.0968471\pi$
$282$	0.150498	−	0.493069i	0.00896205	−	0.0293618i
$283$	−7.85355	−	7.85355i	−0.466845	−	0.466845i	0.434046	−	0.900891i	$-0.357086\pi$
$283$	−7.85355	−	7.85355i	−0.466845	−	0.466845i	−0.900891	+	0.434046i	$0.857086\pi$
$284$			22.3468i			1.32604i
$285$	−2.60913	+	8.02157i	−0.154552	+	0.475157i
$286$	0.353928	+	0.204340i	0.0209282	+	0.0120829i
$287$	−27.8969	+	0.714591i	−1.64670	+	0.0421809i
$288$	−1.34645	−	6.89306i	−0.0793405	−	0.406177i
$289$	14.3799	−	8.30226i	0.845879	−	0.488368i
$290$	1.41752	+	0.407650i	0.0832394	+	0.0239381i
$291$	−22.0357	−	0.759360i	−1.29175	−	0.0445145i
$292$	−6.02832	−	22.4980i	−0.352781	−	1.31660i
$293$	−7.32106	+	27.3226i	−0.427701	+	1.59620i	0.330252	+	0.943893i	$0.392866\pi$
$293$	−7.32106	+	27.3226i	−0.427701	+	1.59620i	−0.757953	+	0.652309i	$0.773801\pi$
$294$	−2.12464	−	1.17960i	−0.123911	−	0.0687954i
$295$	−14.2749	+	23.7160i	−0.831119	+	1.38080i
$296$	3.16045	+	5.47405i	0.183697	+	0.318173i
$297$	2.68180	+	1.02521i	0.155614	+	0.0594885i
$298$	0.718821	+	2.68267i	0.0416402	+	0.155403i
$299$	−6.83172			−0.395089
$300$	3.22046	+	16.6643i	0.185933	+	0.962112i
$301$	−2.28957	+	9.51285i	−0.131969	+	0.548312i
$302$	0.399779	−	1.49200i	0.0230047	−	0.0858548i
$303$	1.87313	+	8.09645i	0.107609	+	0.465129i
$304$	−4.09520	−	7.09310i	−0.234876	−	0.406817i
$305$	18.0610	+	10.8711i	1.03417	+	0.622478i
$306$	0.339718	−	0.166078i	0.0194204	−	0.00949406i
$307$	−4.77873	+	4.77873i	−0.272736	+	0.272736i	−0.830201	−	0.557464i	$-0.811774\pi$
$307$	−4.77873	+	4.77873i	−0.272736	+	0.272736i	0.557464	+	0.830201i	$0.311774\pi$
$308$	2.86410	−	0.0733650i	0.163197	−	0.00418036i
$309$	1.05421	−	30.5920i	0.0599722	−	1.74032i
$310$	0.264323	+	1.06364i	0.0150125	+	0.0604107i
$311$		−	20.7162i		−	1.17471i	−0.809330	−	0.587354i	$-0.800170\pi$
$311$		−	20.7162i		−	1.17471i	0.809330	−	0.587354i	$-0.199830\pi$
$312$	4.94236	−	1.14343i	0.279806	−	0.0647339i
$313$	3.27709	+	3.27709i	0.185232	+	0.185232i	0.793631	−	0.608399i	$-0.208188\pi$
$313$	3.27709	+	3.27709i	0.185232	+	0.185232i	−0.608399	+	0.793631i	$0.708188\pi$
$314$	3.87247			0.218536
$315$	−17.7147	−	1.09099i	−0.998109	−	0.0614704i
$316$	22.6623			1.27485
$317$	8.04797	+	8.04797i	0.452019	+	0.452019i	0.896024	−	0.444005i	$-0.146443\pi$
$317$	8.04797	+	8.04797i	0.452019	+	0.452019i	−0.444005	+	0.896024i	$0.646443\pi$
$318$	1.73852	+	1.86261i	0.0974912	+	0.104450i
$319$		−	1.81840i		−	0.101811i
$320$	−13.5100	−	8.13183i	−0.755232	−	0.454583i
$321$	21.4235	+	13.3732i	1.19575	+	0.746421i
$322$	0.837371	−	0.512485i	0.0466648	−	0.0285597i
$323$	0.968495	−	0.968495i	0.0538885	−	0.0538885i
$324$	16.3419	−	6.63754i	0.907883	−	0.368752i
$325$	−17.9845	+	4.12281i	−0.997599	+	0.228692i
$326$	−1.97714	−	3.42450i	−0.109504	−	0.189666i
$327$	−7.28965	+	6.80398i	−0.403119	+	0.376261i
$328$	−2.16667	+	8.08612i	−0.119634	+	0.446481i
$329$	3.76772	−	1.11371i	0.207721	−	0.0614009i
$330$	−0.382234	+	0.194608i	−0.0210413	+	0.0107128i
$331$	25.4358			1.39808			0.699040	−	0.715082i	$-0.253611\pi$
$331$	25.4358			1.39808			0.699040	+	0.715082i	$0.253611\pi$
$332$	3.58385	+	13.3751i	0.196689	+	0.734054i
$333$	−18.0171	+	15.6912i	−0.987332	+	0.859870i
$334$	2.20576	+	3.82049i	0.120694	+	0.209048i
$335$	1.51203	−	0.375751i	0.0826108	−	0.0205295i
$336$	12.2929	−	12.0775i	0.670630	−	0.658881i
$337$	6.15748	−	22.9800i	0.335419	−	1.25180i	−0.567995	−	0.823032i	$-0.692281\pi$
$337$	6.15748	−	22.9800i	0.335419	−	1.25180i	0.903414	−	0.428769i	$-0.141053\pi$
$338$	0.0320365	+	0.119562i	0.00174256	+	0.00650331i
$339$	−8.85999	+	14.1935i	−0.481208	+	0.770883i
$340$	0.761674	−	2.64856i	0.0413076	−	0.143638i
$341$	1.17016	−	0.675592i	0.0633677	−	0.0365854i
$342$	−0.987587	+	0.860092i	−0.0534026	+	0.0465085i
$343$	−1.42150	−	18.4656i	−0.0767538	−	0.997050i
$344$	2.54195	+	1.46760i	0.137053	+	0.0791275i
$345$	3.90700	−	6.01215i	0.210346	−	0.323683i
$346$		−	2.43822i		−	0.131079i
$347$	−3.78089	−	3.78089i	−0.202969	−	0.202969i	0.598302	−	0.801271i	$-0.295842\pi$
$347$	−3.78089	−	3.78089i	−0.202969	−	0.202969i	−0.801271	+	0.598302i	$0.795842\pi$
$348$	−7.62259	−	8.16669i	−0.408614	−	0.437781i
$349$	11.1842	−	19.3716i	0.598675	−	1.03694i	−0.394342	−	0.918964i	$-0.629027\pi$
$349$	11.1842	−	19.3716i	0.598675	−	1.03694i	0.993017	−	0.117972i	$-0.0376394\pi$
$350$	1.89510	−	1.85445i	0.101297	−	0.0991245i
$351$	7.82326	+	17.5063i	0.417575	+	0.934417i
$352$	0.334797	−	1.24948i	0.0178447	−	0.0665975i
$353$	−0.982176	+	3.66553i	−0.0522760	+	0.195097i	−0.987126	−	0.159948i	$-0.948867\pi$
$353$	−0.982176	+	3.66553i	−0.0522760	+	0.195097i	0.934850	+	0.355044i	$0.115534\pi$
$354$	−3.79361	+	2.01933i	−0.201628	+	0.107326i
$355$	13.1486	−	21.8448i	0.697856	−	1.15940i
$356$	30.0485	−	17.3485i	1.59257	−	0.919469i
$357$	2.48292	+	1.46292i	0.131410	+	0.0774260i
$358$	0.703725	+	2.62634i	0.0371930	+	0.138806i
$359$	−11.4983	+	6.63856i	−0.606859	+	0.350370i	−0.771735	−	0.635944i	$-0.780611\pi$
$359$	−11.4983	+	6.63856i	−0.606859	+	0.350370i	0.164876	+	0.986314i	$0.447277\pi$
$360$	−1.82024	+	5.00336i	−0.0959351	+	0.263700i
$361$	7.12823	−	12.3465i	0.375170	−	0.649814i
$362$	3.20992	−	3.20992i	0.168709	−	0.168709i
$363$	−12.6394	−	13.5416i	−0.663397	−	0.710750i
$364$	13.8721	+	13.1792i	0.727097	+	0.690778i
$365$	−7.34468	+	25.5395i	−0.384438	+	1.33680i
$366$	1.53783	+	2.88903i	0.0803836	+	0.151012i
$367$	−14.9967	−	4.01834i	−0.782819	−	0.209756i	−0.154792	−	0.987947i	$-0.549471\pi$
$367$	−14.9967	−	4.01834i	−0.782819	−	0.209756i	−0.628027	+	0.778191i	$0.716137\pi$
$368$	1.80190	+	6.72478i	0.0939305	+	0.350554i
$369$	−31.5675	−	2.17825i	−1.64334	−	0.113395i
$370$	0.0650483	−	3.56874i	0.00338170	−	0.185530i
$371$	−4.54375	+	18.8787i	−0.235900	+	0.980132i
$372$	2.42332	−	7.93938i	0.125643	−	0.411638i
$373$	6.08862	+	22.7230i	0.315257	+	1.17655i	0.923750	+	0.382995i	$0.125107\pi$
$373$	6.08862	+	22.7230i	0.315257	+	1.17655i	−0.608494	+	0.793559i	$0.708226\pi$
$374$	0.0696459			0.00360130
$375$	6.65695	−	18.1847i	0.343764	−	0.939056i
$376$		−	1.17860i		−	0.0607816i
$377$	8.58740	−	8.58740i	0.442273	−	0.442273i
$378$	−2.27215	−	1.55890i	−0.116867	−	0.0801811i
$379$			5.37521i			0.276106i	0.990425	+	0.138053i	$0.0440844\pi$
$379$			5.37521i			0.276106i	−0.990425	+	0.138053i	$0.955916\pi$
$380$	−0.173941	+	9.54293i	−0.00892300	+	0.489542i
$381$	−4.63370	+	2.46652i	−0.237392	+	0.126363i
$382$	3.13499	+	3.13499i	0.160400	+	0.160400i
$383$	2.67954	−	0.717981i	0.136918	−	0.0366871i	−0.189709	−	0.981840i	$-0.560754\pi$
$383$	2.67954	−	0.717981i	0.136918	−	0.0366871i	0.326627	+	0.945153i	$0.394088\pi$
$384$	−4.96096	−	9.31987i	−0.253163	−	0.475603i
$385$	−2.84292	−	1.61349i	−0.144888	−	0.0822308i
$386$	0.311278			0.0158436
$387$	−3.60240	+	10.4935i	−0.183120	+	0.533412i
$388$	−24.0982	+	6.45710i	−1.22340	+	0.327809i
$389$	10.7208	−	6.18966i	0.543567	−	0.313828i	−0.202956	−	0.979188i	$-0.565055\pi$
$389$	10.7208	−	6.18966i	0.543567	−	0.313828i	0.746523	+	0.665359i	$0.231722\pi$
$390$	−2.72413	−	0.886064i	−0.137942	−	0.0448676i
$391$	−1.00826	+	0.582119i	−0.0509899	+	0.0294390i
$392$	−5.43305	−	1.16131i	−0.274410	−	0.0586549i
$393$	4.62859	−	4.32021i	0.233481	−	0.217926i
$394$		−	1.46512i		−	0.0738117i
$395$	−22.1531	−	13.3342i	−1.11464	−	0.670918i
$396$	3.24094	+	0.223634i	0.162863	+	0.0112381i
$397$	11.8491	+	3.17497i	0.594691	+	0.159347i	0.543596	−	0.839347i	$-0.317062\pi$
$397$	11.8491	+	3.17497i	0.594691	+	0.159347i	0.0510948	+	0.998694i	$0.483729\pi$
$398$	−0.0417955	+	0.0111991i	−0.00209502	+	0.000561359i
$399$	−9.61741	−	2.66829i	−0.481473	−	0.133581i
$400$	8.80177	+	16.6155i	0.440088	+	0.830777i
$401$	8.99493	−	15.5797i	0.449185	−	0.778012i	−0.549148	−	0.835725i	$-0.685048\pi$
$401$	8.99493	−	15.5797i	0.449185	−	0.778012i	0.998333	+	0.0577133i	$0.0183809\pi$
$402$	0.231353	+	0.0706154i	0.0115388	+	0.00352198i
$403$	8.71655	+	2.33559i	0.434202	+	0.116344i
$404$	4.70158	+	8.14338i	0.233912	+	0.405148i
$405$	−19.8802	−	3.12697i	−0.987855	−	0.155381i
$406$	−0.408378	+	1.69675i	−0.0202674	+	0.0842084i
$407$	−4.25049	+	1.13892i	−0.210689	+	0.0564540i
$408$	0.631990	−	0.589883i	0.0312881	−	0.0292036i
$409$	−17.9821			−0.889157			−0.444578	−	0.895740i	$-0.646646\pi$
$409$	−17.9821			−0.889157			−0.444578	+	0.895740i	$0.646646\pi$
$410$	3.40301	−	3.28117i	0.168063	−	0.162046i
$411$	−10.9249	−	6.81963i	−0.538883	−	0.336387i
$412$	−8.96434	−	33.4554i	−0.441641	−	1.64823i
$413$	−28.7743	−	15.6444i	−1.41589	−	0.769813i
$414$	1.00009	−	0.488914i	0.0491516	−	0.0240288i
$415$	4.36643	−	15.1833i	0.214339	−	0.745319i
$416$	7.48173	−	4.31958i	0.366822	−	0.211785i
$417$	−14.1912	+	3.28317i	−0.694947	+	0.160778i
$418$	−0.232986	+	0.0624283i	−0.0113957	+	0.00305347i
$419$	7.33376	+	12.7024i	0.358278	+	0.620555i	0.987673	−	0.156530i	$-0.0500308\pi$
$419$	7.33376	+	12.7024i	0.358278	+	0.620555i	−0.629396	+	0.777085i	$0.716697\pi$
$420$	−19.5315	+	4.67087i	−0.953040	+	0.227915i
$421$	−3.77453	+	6.53768i	−0.183959	+	0.318627i	−0.943225	−	0.332153i	$-0.892225\pi$
$421$	−3.77453	+	6.53768i	−0.183959	+	0.318627i	0.759266	+	0.650780i	$0.225558\pi$
$422$	0.0104652	−	0.0390568i	0.000509440	−	0.00190125i
$423$	4.37229	−	0.854060i	0.212588	−	0.0415258i
$424$	5.04461	+	2.91251i	0.244988	+	0.141444i
$425$	−2.30294	+	2.14089i	−0.111709	+	0.103848i
$426$	3.49428	−	1.86000i	0.169299	−	0.0901175i
$427$	−11.9141	+	21.9132i	−0.576562	+	1.06045i
$428$	27.6024	+	7.39604i	1.33421	+	0.357501i
$429$	−0.121629	+	3.52952i	−0.00587231	+	0.170407i
$430$	−0.802438	−	1.45027i	−0.0386970	−	0.0699385i
$431$	−6.71254	+	11.6265i	−0.323331	+	0.560026i	−0.981173	−	0.193130i	$-0.938136\pi$
$431$	−6.71254	+	11.6265i	−0.323331	+	0.560026i	0.657842	+	0.753156i	$0.271470\pi$
$432$	15.1689	−	12.3182i	0.729812	−	0.592658i
$433$	6.10405	+	6.10405i	0.293342	+	0.293342i	0.838399	−	0.545057i	$-0.183492\pi$
$433$	6.10405	+	6.10405i	0.293342	+	0.293342i	−0.545057	+	0.838399i	$0.683492\pi$
$434$	−1.24360	+	0.367600i	−0.0596948	+	0.0176454i
$435$	2.64614	+	12.4683i	0.126873	+	0.597807i
$436$	−5.64147	+	9.77132i	−0.270178	+	0.467961i
$437$	2.85113	−	2.85113i	0.136388	−	0.136388i
$438$	−3.01616	+	2.81521i	−0.144118	+	0.134516i
$439$	−9.03468			−0.431202			−0.215601	−	0.976482i	$-0.569171\pi$
$439$	−9.03468			−0.431202			−0.215601	+	0.976482i	$0.569171\pi$
$440$	−0.705916	+	0.680643i	−0.0336532	+	0.0324484i
$441$	0.371138	−	20.9967i	0.0176732	−	0.999844i
$442$	0.328902	+	0.328902i	0.0156443	+	0.0156443i
$443$	14.3505	−	14.3505i	0.681812	−	0.681812i	−0.278596	−	0.960408i	$-0.589869\pi$
$443$	14.3505	−	14.3505i	0.681812	−	0.681812i	0.960408	+	0.278596i	$0.0898691\pi$
$444$	−14.3153	+	22.9327i	−0.679373	+	1.08834i
$445$	−39.5811	−	0.721453i	−1.87632	−	0.0342002i
$446$	1.17090	+	0.676021i	0.0554438	+	0.0320105i
$447$	−17.5451	+	16.3761i	−0.829854	+	0.774565i
$448$	8.91198	−	16.3915i	0.421051	−	0.774427i
$449$		−	17.9039i		−	0.844936i	−0.906378	−	0.422468i	$-0.861164\pi$
$449$		−	17.9039i		−	0.844936i	0.906378	−	0.422468i	$-0.138836\pi$
$450$	2.33767	−	1.89060i	0.110199	−	0.0891235i
$451$	−5.04712	−	2.91396i	−0.237660	−	0.137213i
$452$	−4.90000	+	18.2871i	−0.230477	+	0.860151i
$453$	13.0044	−	3.00861i	0.611002	−	0.141357i
$454$	−1.42417	−	2.46674i	−0.0668396	−	0.115770i
$455$	−5.80598	−	21.0453i	−0.272188	−	0.986619i
$456$	−1.58544	+	2.53983i	−0.0742448	+	0.118938i
$457$	16.3046	+	16.3046i	0.762696	+	0.762696i	0.976809	−	0.214113i	$-0.0686861\pi$
$457$	16.3046	+	16.3046i	0.762696	+	0.762696i	−0.214113	+	0.976809i	$0.568686\pi$
$458$	−1.64759	+	0.441471i	−0.0769869	+	0.0206286i
$459$	2.64628	+	1.91706i	0.123518	+	0.0894808i
$460$	2.24227	−	7.79702i	0.104547	−	0.363538i
$461$	−9.25273	−	5.34207i	−0.430943	−	0.248805i	0.268805	−	0.963194i	$-0.413371\pi$
$461$	−9.25273	−	5.34207i	−0.430943	−	0.248805i	−0.699748	+	0.714390i	$0.746704\pi$
$462$	−0.249861	−	0.441741i	−0.0116246	−	0.0205517i
$463$	−10.3040	−	2.76096i	−0.478870	−	0.128313i	0.0113067	−	0.999936i	$-0.496401\pi$
$463$	−10.3040	−	2.76096i	−0.478870	−	0.128313i	−0.490176	+	0.871623i	$0.663068\pi$
$464$	−10.7179	−	6.18801i	−0.497568	−	0.287271i
$465$	−7.04032	+	6.33515i	−0.326487	+	0.293786i
$466$	2.34551	+	4.06255i	0.108654	+	0.188194i
$467$	29.9913	+	8.03615i	1.38783	+	0.371869i	0.873960	−	0.485997i	$-0.161544\pi$
$467$	29.9913	+	8.03615i	1.38783	+	0.371869i	0.513873	+	0.857866i	$0.328210\pi$
$468$	14.2492	+	16.3614i	0.658669	+	0.756307i
$469$	0.522565	+	1.76785i	0.0241298	+	0.0816318i
$470$	−0.343219	+	0.570215i	−0.0158315	+	0.0263021i
$471$	15.7240	+	29.5397i	0.724523	+	1.36112i
$472$	−6.94743	+	6.94743i	−0.319781	+	0.319781i
$473$	−1.44490	+	1.44490i	−0.0664367	+	0.0664367i
$474$	−1.88626	−	3.54361i	−0.0866388	−	0.162763i
$475$	5.78498	−	9.22618i	0.265433	−	0.423326i
$476$	3.17030	+	0.763033i	0.145310	+	0.0349736i
$477$	−7.14911	+	20.8247i	−0.327335	+	0.953498i
$478$	−4.69243	−	1.25733i	−0.214627	−	0.0575091i
$479$	−11.7686	−	20.3837i	−0.537719	−	0.931357i	−0.999026	−	0.0441163i	$-0.985953\pi$
$479$	−11.7686	−	20.3837i	−0.537719	−	0.931357i	0.461307	−	0.887240i	$-0.347381\pi$
$480$	−0.477361	+	9.05451i	−0.0217885	+	0.413280i
$481$	−25.4514	−	14.6944i	−1.16048	−	0.670006i
$482$	−1.62094	−	0.434329i	−0.0738318	−	0.0197832i
$483$	7.30941	+	4.30666i	0.332590	+	0.195960i
$484$	−18.1517	−	10.4799i	−0.825076	−	0.476358i
$485$	27.3561	+	7.86709i	1.24218	+	0.357226i
$486$	−2.39808	−	2.00285i	−0.108779	−	0.0908512i
$487$	37.0824	−	9.93619i	1.68036	−	0.450252i	0.712488	−	0.701684i	$-0.247568\pi$
$487$	37.0824	−	9.93619i	1.68036	−	0.450252i	0.967875	+	0.251432i	$0.0809015\pi$
$488$	5.29083	+	5.29083i	0.239505	+	0.239505i
$489$	18.0945	−	28.9869i	0.818262	−	1.31083i
$490$	2.29037	+	2.14401i	0.103468	+	0.0968563i
$491$	−7.57134	−	13.1140i	−0.341690	−	0.591824i	0.643057	−	0.765819i	$-0.277666\pi$
$491$	−7.57134	−	13.1140i	−0.341690	−	0.591824i	−0.984747	+	0.173994i	$0.944333\pi$
$492$	−34.8824	+	8.07012i	−1.57262	+	0.363829i
$493$	0.535654	−	1.99909i	0.0241246	−	0.0900344i
$494$	−1.39509	−	0.805455i	−0.0627681	−	0.0362392i
$495$	−3.03654	−	2.12554i	−0.136482	−	0.0955360i
$496$		−	9.19613i		−	0.412918i
$497$	26.5040	+	14.4101i	1.18887	+	0.646380i
$498$	1.79312	−	1.67365i	0.0803514	−	0.0749980i
$499$	−4.36448	−	2.51983i	−0.195381	−	0.112803i	0.399118	−	0.916899i	$-0.369316\pi$
$499$	−4.36448	−	2.51983i	−0.195381	−	0.112803i	−0.594499	+	0.804096i	$0.702650\pi$
$500$	1.19743	−	21.8788i	0.0535507	−	0.978449i
$501$	−20.1869	+	32.3388i	−0.901883	+	1.44479i
$502$	0.756278	−	0.756278i	0.0337544	−	0.0337544i
$503$	−8.47450	−	8.47450i	−0.377859	−	0.377859i	0.492470	−	0.870329i	$-0.336094\pi$
$503$	−8.47450	−	8.47450i	−0.377859	−	0.377859i	−0.870329	+	0.492470i	$0.836094\pi$
$504$	−6.00875	−	1.89225i	−0.267651	−	0.0842873i
$505$	0.195519	−	10.7268i	0.00870050	−	0.477335i
$506$	0.205029			0.00911464
$507$	−0.781952	+	0.729854i	−0.0347277	+	0.0324140i
$508$	−4.19992	+	4.19992i	−0.186341	+	0.186341i
$509$	−4.57330	+	7.92119i	−0.202708	+	0.351101i	−0.949400	−	0.314069i	$-0.898308\pi$
$509$	−4.57330	+	7.92119i	−0.202708	+	0.351101i	0.746692	+	0.665170i	$0.231641\pi$
$510$	−0.477541	+	0.101349i	−0.0211459	+	0.00448779i
$511$	−30.5706	−	7.35778i	−1.35236	−	0.325489i
$512$	−10.4463	−	10.4463i	−0.461666	−	0.461666i
$513$	−10.5710	−	4.04109i	−0.466719	−	0.178419i
$514$	2.33324	−	4.04128i	0.102915	−	0.178253i
$515$	−10.9218	+	37.9782i	−0.481273	+	1.67352i
$516$	−0.432346	+	12.5461i	−0.0190330	+	0.552313i
$517$	0.792550	+	0.212363i	0.0348563	+	0.00933971i
$518$	4.22191	−	0.108146i	0.185500	−	0.00475166i
$519$	18.5991	−	9.90026i	0.816408	−	0.434573i
$520$	−6.54801	−	0.119352i	−0.287149	−	0.00523394i
$521$	24.3046	+	14.0323i	1.06481	+	0.614766i	0.926758	−	0.375660i	$-0.122584\pi$
$521$	24.3046	+	14.0323i	1.06481	+	0.614766i	0.138048	+	0.990426i	$0.455917\pi$
$522$	−0.642539	+	1.87166i	−0.0281232	+	0.0819202i
$523$	7.49597	−	27.9753i	0.327776	−	1.22328i	−0.583716	−	0.811958i	$-0.698402\pi$
$523$	7.49597	−	27.9753i	0.327776	−	1.22328i	0.911492	−	0.411318i	$-0.134931\pi$
$524$	3.58207	−	6.20433i	0.156484	−	0.271037i
$525$	21.8410	+	6.92618i	0.953218	+	0.302283i
$526$	−1.62796	−	2.81971i	−0.0709825	−	0.122945i
$527$	1.48544	−	0.398023i	0.0647069	−	0.0173382i
$528$	3.50636	−	0.811204i	0.152595	−	0.0353031i
$529$	16.9504	−	9.78631i	0.736974	−	0.425492i
$530$	−1.59247	−	2.87813i	−0.0691726	−	0.125018i
$531$	−30.8075	−	20.7388i	−1.33693	−	0.899985i
$532$	−11.2895	+	0.289185i	−0.489463	+	0.0125378i
$533$	−10.0739	−	37.5961i	−0.436347	−	1.62847i
$534$	−5.21376	−	3.25459i	−0.225621	−	0.140840i
$535$	−22.6305	−	23.4708i	−0.978402	−	1.01473i
$536$	0.553010			0.0238864
$537$	−17.1766	+	16.0322i	−0.741227	+	0.691842i
$538$	−3.39436	+	0.909516i	−0.146341	+	0.0392120i
$539$	1.75986	−	3.44421i	0.0758027	−	0.148353i
$540$	−22.5476	+	3.18282i	−0.970294	+	0.136967i
$541$	−17.3255	−	30.0086i	−0.744881	−	1.29017i	−0.950250	−	0.311488i	$-0.899173\pi$
$541$	−17.3255	−	30.0086i	−0.744881	−	1.29017i	0.205369	−	0.978685i	$-0.434161\pi$
$542$	−0.0222560	−	0.00596348i	−0.000955977	−	0.000256153i
$543$	37.5194	+	11.4520i	1.61011	+	0.491451i
$544$	0.736128	−	1.27501i	0.0315612	−	0.0546656i
$545$	11.2641	−	6.23241i	0.482499	−	0.266967i
$546$	0.906153	−	3.26608i	0.0387798	−	0.139775i
$547$	−8.79811	+	2.35745i	−0.376180	+	0.100797i	−0.441955	−	0.897037i	$-0.645715\pi$
$547$	−8.79811	+	2.35745i	−0.376180	+	0.100797i	0.0657748	+	0.997834i	$0.479048\pi$
$548$	−14.0757	−	3.77158i	−0.601286	−	0.161114i
$549$	−15.7937	+	23.4616i	−0.674057	+	1.00131i
$550$	0.539737	−	0.123731i	0.0230145	−	0.00527590i
$551$			7.16767i			0.305353i
$552$	1.86050	−	1.73654i	0.0791881	−	0.0739121i
$553$	14.6135	−	26.8781i	0.621428	−	1.14297i
$554$	−0.0604632	+	0.0349085i	−0.00256884	+	0.00148312i
$555$	27.4870	−	13.9945i	1.16676	−	0.594034i
$556$	−14.2735	+	8.24079i	−0.605330	+	0.349488i
$557$	36.1086	−	9.67526i	1.52997	−	0.409954i	0.606960	−	0.794732i	$-0.292389\pi$
$557$	36.1086	−	9.67526i	1.52997	−	0.409954i	0.923009	+	0.384778i	$0.125722\pi$
$558$	−1.44315	+	0.281897i	−0.0610935	+	0.0119337i
$559$	−13.6471			−0.577209
$560$	−19.1845	+	11.2659i	−0.810694	+	0.476071i
$561$	0.282794	+	0.531269i	0.0119396	+	0.0224302i
$562$	−1.41233	+	0.378433i	−0.0595756	+	0.0159632i
$563$	5.03918	+	5.03918i	0.212376	+	0.212376i	0.805276	−	0.592900i	$-0.202017\pi$
$563$	5.03918	+	5.03918i	0.212376	+	0.212376i	−0.592900	+	0.805276i	$0.702017\pi$
$564$	4.44965	−	2.36855i	0.187364	−	0.0997338i
$565$	15.5498	−	14.9931i	0.654185	−	0.630764i
$566$			2.22613i			0.0935714i
$567$	2.66555	−	23.6621i	0.111943	−	0.993715i
$568$	6.39926	−	6.39926i	0.268507	−	0.268507i
$569$			12.1752i			0.510412i	0.966887	+	0.255206i	$0.0821433\pi$
$569$			12.1752i			0.510412i	−0.966887	+	0.255206i	$0.917857\pi$
$570$	1.50667	−	0.767093i	0.0631074	−	0.0321300i
$571$	−17.6720			−0.739548			−0.369774	−	0.929122i	$-0.620565\pi$
$571$	−17.6720			−0.739548			−0.369774	+	0.929122i	$0.620565\pi$
$572$	1.03425	+	3.85989i	0.0432443	+	0.161390i
$573$	−11.1847	+	36.6436i	−0.467246	+	1.53081i
$574$	4.05505	+	3.85250i	0.169255	+	0.160800i
$575$	−6.77957	+	6.30251i	−0.282728	+	0.262833i
$576$	11.8140	−	17.5498i	0.492250	−	0.731240i
$577$	−2.84605	−	10.6216i	−0.118483	−	0.442184i	0.881041	−	0.473040i	$-0.156843\pi$
$577$	−2.84605	−	10.6216i	−0.118483	−	0.442184i	−0.999524	+	0.0308561i	$0.990177\pi$
$578$	−3.21470	−	0.861377i	−0.133714	−	0.0358286i
$579$	1.26393	+	2.37447i	0.0525271	+	0.0986797i
$580$	6.98225	+	12.6193i	0.289922	+	0.523987i
$581$	18.1743	+	4.37421i	0.753995	+	0.181473i
$582$	3.01545	+	3.23069i	0.124994	+	0.133917i
$583$	−2.86747	+	2.86747i	−0.118759	+	0.118759i
$584$	−4.71628	+	8.16883i	−0.195161	+	0.338029i
$585$	−4.30219	−	24.3779i	−0.177874	−	1.00790i
$586$	4.90997	−	2.83477i	0.202829	−	0.117103i
$587$	−0.436993	−	1.63088i	−0.0180366	−	0.0673136i	0.956321	−	0.292319i	$-0.0944268\pi$
$587$	−0.436993	−	1.63088i	−0.0180366	−	0.0673136i	−0.974358	+	0.225005i	$0.927760\pi$
$588$	−6.53405	−	22.8456i	−0.269460	−	0.942137i
$589$	−4.61246	+	2.66301i	−0.190053	+	0.109727i
$590$	5.38438	−	1.33806i	0.221671	−	0.0550872i
$591$	11.1761	−	5.94905i	0.459725	−	0.244711i
$592$	−7.75143	+	28.9287i	−0.318582	+	1.18896i
$593$	3.03076	−	11.3110i	0.124459	−	0.464485i	−0.875361	−	0.483469i	$-0.839376\pi$
$593$	3.03076	−	11.3110i	0.124459	−	0.464485i	0.999820	+	0.0189839i	$0.00604312\pi$
$594$	−0.234786	−	0.525387i	−0.00963339	−	0.0215569i
$595$	−2.65011	−	2.61126i	−0.108644	−	0.107051i
$596$	−13.5782	+	23.5181i	−0.556183	+	0.963338i
$597$	−0.255137	−	0.273349i	−0.0104421	−	0.0111874i
$598$	0.968246	+	0.968246i	0.0395945	+	0.0395945i
$599$			13.5717i			0.554527i	0.960794	+	0.277263i	$0.0894274\pi$
$599$			13.5717i			0.554527i	−0.960794	+	0.277263i	$0.910573\pi$
$600$	3.84978	−	5.69421i	0.157167	−	0.232465i
$601$	8.44999	+	4.87860i	0.344682	+	0.199002i	0.662341	−	0.749203i	$-0.269563\pi$
$601$	8.44999	+	4.87860i	0.344682	+	0.199002i	−0.317658	+	0.948205i	$0.602897\pi$
$602$	1.67273	−	1.02374i	0.0681755	−	0.0417246i
$603$	0.400734	+	2.05152i	0.0163191	+	0.0835445i
$604$	13.0798	−	7.55164i	0.532210	−	0.307272i
$605$	11.5776	+	20.9247i	0.470697	+	0.850709i
$606$	0.882019	−	1.41297i	0.0358296	−	0.0573980i
$607$	5.86100	+	21.8736i	0.237891	+	0.887820i	0.976824	+	0.214042i	$0.0686630\pi$
$607$	5.86100	+	21.8736i	0.237891	+	0.887820i	−0.738934	+	0.673778i	$0.764670\pi$
$608$	−1.31968	+	4.92512i	−0.0535202	+	0.199740i
$609$	−14.6013	+	3.77442i	−0.591673	+	0.152947i
$610$	−1.01900	−	4.10049i	−0.0412583	−	0.166024i
$611$	2.73992	+	4.74569i	0.110845	+	0.191990i
$612$	3.49710	+	1.20055i	0.141362	+	0.0485294i
$613$	−3.10685	−	11.5949i	−0.125484	−	0.468314i	0.874372	−	0.485256i	$-0.161274\pi$
$613$	−3.10685	−	11.5949i	−0.125484	−	0.468314i	−0.999856	+	0.0169420i	$0.994607\pi$
$614$	1.35456			0.0546655
$615$	38.8470	+	12.6356i	1.56646	+	0.509515i
$616$	−0.841175	−	0.799158i	−0.0338919	−	0.0321990i
$617$	7.47669	−	27.9034i	0.301000	−	1.12335i	−0.635334	−	0.772238i	$-0.719137\pi$
$617$	7.47669	−	27.9034i	0.301000	−	1.12335i	0.936334	−	0.351111i	$-0.114196\pi$
$618$	−4.48515	+	4.18633i	−0.180419	+	0.168399i
$619$	14.1248	+	24.4649i	0.567724	+	0.983326i	0.996791	+	0.0800535i	$0.0255091\pi$
$619$	14.1248	+	24.4649i	0.567724	+	0.983326i	−0.429067	+	0.903273i	$0.641158\pi$
$620$	−5.52650	+	9.18159i	−0.221950	+	0.368741i
$621$	7.79031	+	5.64359i	0.312614	+	0.226470i
$622$	−2.93606	+	2.93606i	−0.117725	+	0.117725i
$623$	−1.19945	−	46.8254i	−0.0480550	−	1.87602i
$624$	20.3896	+	12.7278i	0.816238	+	0.509521i
$625$	−14.0438	+	20.6827i	−0.561750	+	0.827307i
$626$		−	0.928911i		−	0.0371268i
$627$	−1.42224	−	1.52376i	−0.0567988	−	0.0608531i
$628$	26.7744	+	26.7744i	1.06842	+	1.06842i
$629$	−5.00833			−0.199695
$630$	2.35604	+	2.66529i	0.0938669	+	0.106188i
$631$	25.8117			1.02755			0.513774	−	0.857926i	$-0.328247\pi$
$631$	25.8117			1.02755			0.513774	+	0.857926i	$0.328247\pi$
$632$	−6.48960	−	6.48960i	−0.258142	−	0.258142i
$633$	0.340424	−	0.0787580i	0.0135306	−	0.00313035i
$634$		−	2.28124i		−	0.0905998i
$635$	6.57675	−	1.63438i	0.260990	−	0.0648582i
$636$	−0.858010	+	24.8984i	−0.0340223	+	0.987285i
$637$	24.5762	−	7.95432i	0.973744	−	0.315162i
$638$	−0.257719	+	0.257719i	−0.0102032	+	0.0102032i
$639$	28.3768	+	19.1024i	1.12257	+	0.755680i
$640$	3.28726	+	13.2280i	0.129940	+	0.522882i
$641$	−10.3897	−	17.9955i	−0.410369	−	0.710780i	0.584561	−	0.811350i	$-0.301267\pi$
$641$	−10.3897	−	17.9955i	−0.410369	−	0.710780i	−0.994930	+	0.100570i	$0.967933\pi$
$642$	−1.14096	−	4.93168i	−0.0450299	−	0.194638i
$643$	−0.965942	+	3.60494i	−0.0380930	+	0.142165i	−0.982353	−	0.187035i	$-0.940112\pi$
$643$	−0.965942	+	3.60494i	−0.0380930	+	0.142165i	0.944260	+	0.329200i	$0.106779\pi$
$644$	9.33296	+	2.24627i	0.367770	+	0.0885156i
$645$	7.80464	−	12.0099i	0.307307	−	0.472889i
$646$	−0.274526			−0.0108011
$647$	−5.98124	−	22.3223i	−0.235147	−	0.877580i	−0.978083	−	0.208217i	$-0.933234\pi$
$647$	−5.98124	−	22.3223i	−0.235147	−	0.877580i	0.742936	−	0.669363i	$-0.233433\pi$
$648$	−6.58042	−	2.77895i	−0.258503	−	0.109168i
$649$	−3.42000	−	5.92361i	−0.134247	−	0.232522i
$650$	3.13322	+	1.96459i	0.122895	+	0.0770574i
$651$	−7.85369	−	7.99374i	−0.307810	−	0.313299i
$652$	10.0071	−	37.3472i	0.391910	−	1.46263i
$653$	6.82693	+	25.4784i	0.267158	+	0.997048i	0.960916	+	0.276840i	$0.0892872\pi$
$653$	6.82693	+	25.4784i	0.267158	+	0.997048i	−0.693758	+	0.720208i	$0.744046\pi$
$654$	1.99746	+	0.0688335i	0.0781069	+	0.00269160i
$655$	−7.15215	+	3.95729i	−0.279458	+	0.154624i
$656$	−34.3506	+	19.8323i	−1.34117	+	0.774322i
$657$	−33.7218	−	11.5767i	−1.31561	−	0.451650i
$658$	−0.691835	−	0.376147i	−0.0269705	−	0.0146637i
$659$	43.7681	+	25.2695i	1.70496	+	0.984360i	0.940564	+	0.339616i	$0.110297\pi$
$659$	43.7681	+	25.2695i	1.70496	+	0.984360i	0.764398	+	0.644745i	$0.223036\pi$
$660$	−3.98831	−	1.29726i	−0.155245	−	0.0504957i
$661$			25.0722i			0.975195i	0.873069	+	0.487597i	$0.162127\pi$
$661$			25.0722i			0.975195i	−0.873069	+	0.487597i	$0.837873\pi$
$662$	−3.60497	−	3.60497i	−0.140111	−	0.140111i
$663$	−1.17342	+	3.84440i	−0.0455718	+	0.149304i
$664$	2.80384	−	4.85638i	0.108810	−	0.188464i
$665$	11.2060	+	6.35993i	0.434551	+	0.246628i
$666$	4.77741	+	0.329655i	0.185121	+	0.0127739i
$667$	1.57690	−	5.88506i	0.0610577	−	0.227871i
$668$	−11.1643	+	41.6658i	−0.431960	+	1.61210i
$669$	−0.402387	+	11.6768i	−0.0155572	+	0.451450i
$670$	−0.267551	−	0.161042i	−0.0103364	−	0.00622159i
$671$	−4.51114	+	2.60451i	−0.174151	+	0.100546i
$672$	−10.7279	−	0.0948057i	−0.413838	−	0.00365721i
$673$	−0.0831489	−	0.310316i	−0.00320515	−	0.0119618i	0.964305	−	0.264795i	$-0.0853043\pi$
$673$	−0.0831489	−	0.310316i	−0.00320515	−	0.0119618i	−0.967510	+	0.252833i	$0.918638\pi$
$674$	−4.12960	+	2.38423i	−0.159066	+	0.0918369i
$675$	23.9137	+	10.1554i	0.920440	+	0.390883i
$676$	−0.605154	+	1.04816i	−0.0232751	+	0.0403137i
$677$	−33.2106	+	33.2106i	−1.27639	+	1.27639i	−0.333713	+	0.942675i	$0.608302\pi$
$677$	−33.2106	+	33.2106i	−1.27639	+	1.27639i	−0.942675	+	0.333713i	$0.891698\pi$
$678$	3.26732	−	0.755902i	0.125481	−	0.0290302i
$679$	−7.88112	+	32.7450i	−0.302450	+	1.25664i
$680$	−0.976558	+	0.540330i	−0.0374493	+	0.0207207i
$681$	13.0338	−	20.8798i	0.499457	−	0.800117i
$682$	−0.261595	−	0.0700941i	−0.0100170	−	0.00268404i
$683$	9.13820	+	34.1042i	0.349664	+	1.30496i	0.887068	+	0.461638i	$0.152738\pi$
$683$	9.13820	+	34.1042i	0.349664	+	1.30496i	−0.537405	+	0.843324i	$0.680595\pi$
$684$	−12.7749	−	0.881508i	−0.488462	−	0.0337053i
$685$	11.5403	+	11.9689i	0.440934	+	0.457306i
$686$	−2.41563	+	2.81856i	−0.0922292	+	0.107613i
$687$	−10.0576	−	10.7755i	−0.383720	−	0.411111i
$688$	3.59948	+	13.4334i	0.137229	+	0.512145i
$689$	−27.0832			−1.03179
$690$	−1.40582	+	0.298358i	−0.0535187	+	0.0113583i
$691$			25.6768i			0.976793i	0.872622	+	0.488397i	$0.162418\pi$
$691$			25.6768i			0.976793i	−0.872622	+	0.488397i	$0.837582\pi$
$692$	16.8579	−	16.8579i	0.640842	−	0.640842i
$693$	2.35512	−	3.69964i	0.0894634	−	0.140538i
$694$			1.07172i			0.0406818i
$695$	18.8016	+	0.342701i	0.713185	+	0.0129994i
$696$	−0.155811	+	4.52144i	−0.00590600	+	0.171385i
$697$	−4.69025	−	4.69025i	−0.177656	−	0.177656i
$698$	−4.33060	+	1.16038i	−0.163916	+	0.0439211i
$699$	−21.4658	+	34.3877i	−0.811912	+	1.30066i
$700$	25.9245	+	0.281050i	0.979856	+	0.0106227i
$701$	13.7318			0.518642			0.259321	−	0.965791i	$-0.416501\pi$
$701$	13.7318			0.518642			0.259321	+	0.965791i	$0.416501\pi$
$702$	1.37236	−	3.58991i	0.0517964	−	0.135492i
$703$	16.7543	−	4.48931i	0.631901	−	0.169317i
$704$	3.37443	−	1.94823i	0.127179	−	0.0734267i
$705$	−5.74331	−	0.302792i	−0.216305	−	0.0114038i
$706$	0.658710	−	0.380306i	0.0247909	−	0.0143130i
$707$	12.6900	−	0.325060i	0.477258	−	0.0122252i
$708$	−40.1909	−	12.2674i	−1.51047	−	0.461037i
$709$			11.7992i			0.443127i	0.975146	+	0.221564i	$0.0711160\pi$
$709$			11.7992i			0.443127i	−0.975146	+	0.221564i	$0.928884\pi$
$710$	−4.95954	+	1.23249i	−0.186128	+	0.0462544i
$711$	19.3721	−	28.7773i	0.726510	−	1.07923i
$712$	−13.5727	−	3.63679i	−0.508657	−	0.136294i
$713$	4.37296	−	1.17173i	0.163769	−	0.0438817i
$714$	−0.144563	−	0.559237i	−0.00541012	−	0.0209289i
$715$	1.26010	−	4.38171i	0.0471249	−	0.163867i
$716$	−13.2930	+	23.0242i	−0.496784	+	0.860455i
$717$	−9.46229	−	40.8999i	−0.353376	−	1.52743i
$718$	2.57051	+	0.688765i	0.0959304	+	0.0257045i
$719$	−11.6603	−	20.1963i	−0.434857	−	0.753195i	0.562427	−	0.826847i	$-0.309868\pi$
$719$	−11.6603	−	20.1963i	−0.434857	−	0.753195i	−0.997284	+	0.0736524i	$0.976534\pi$
$720$	−22.8616	+	10.6646i	−0.852000	+	0.397447i
$721$	−45.4596	−	10.9413i	−1.69300	−	0.407475i
$722$	−2.76011	+	0.739569i	−0.102721	+	0.0275239i
$723$	−3.26862	−	14.1283i	−0.121561	−	0.525438i
$724$	44.3870			1.64963
$725$	0.599658	−	16.4440i	0.0222707	−	0.610716i
$726$	−0.127869	+	3.71058i	−0.00474565	+	0.137713i
$727$	9.55960	+	35.6769i	0.354546	+	1.32318i	0.881055	+	0.473014i	$0.156834\pi$
$727$	9.55960	+	35.6769i	0.354546	+	1.32318i	−0.526509	+	0.850169i	$0.676500\pi$
$728$	−0.198428	−	7.74645i	−0.00735425	−	0.287103i
$729$	5.54075	−	26.4254i	0.205213	−	0.978717i
$730$	4.66061	−	2.57872i	0.172497	−	0.0954427i
$731$	−2.01410	+	1.16284i	−0.0744943	+	0.0430093i
$732$	−9.34227	+	30.6075i	−0.345300	+	1.13129i
$733$	−11.6004	+	3.10831i	−0.428469	+	0.114808i	−0.466607	−	0.884465i	$-0.654524\pi$
$733$	−11.6004	+	3.10831i	−0.428469	+	0.114808i	0.0381384	+	0.999272i	$0.487857\pi$
$734$	1.55593	+	2.69496i	0.0574306	+	0.0994727i
$735$	−7.05484	+	26.1769i	−0.260222	+	0.965549i
$736$	2.16707	−	3.75347i	0.0798792	−	0.138355i
$737$	−0.0996429	+	0.371872i	−0.00367039	+	0.0136981i
$738$	4.16527	+	4.78271i	0.153326	+	0.176054i
$739$	13.4654	+	7.77425i	0.495333	+	0.285981i	0.726784	−	0.686866i	$-0.241014\pi$
$739$	13.4654	+	7.77425i	0.495333	+	0.285981i	−0.231451	+	0.972846i	$0.574347\pi$
$740$	25.1242	−	24.2247i	0.923583	−	0.890517i
$741$	0.479430	−	13.9125i	0.0176123	−	0.511087i
$742$	3.31961	−	2.03166i	0.121867	−	0.0745846i
$743$	−39.5786	−	10.6050i	−1.45200	−	0.389061i	−0.555279	−	0.831664i	$-0.687389\pi$
$743$	−39.5786	−	10.6050i	−1.45200	−	0.389061i	−0.896718	+	0.442603i	$0.854055\pi$
$744$	−2.96748	+	1.57959i	−0.108793	+	0.0579104i
$745$	27.1109	−	15.0005i	0.993266	−	0.549574i
$746$	2.35756	−	4.08342i	0.0863165	−	0.149504i
$747$	20.0477	+	6.88236i	0.733507	+	0.251812i
$748$	0.481535	+	0.481535i	0.0176066	+	0.0176066i
$749$	26.5710	−	27.9680i	0.970882	−	1.02193i
$750$	−3.52076	+	1.63381i	−0.128560	+	0.0596583i
$751$	2.79259	−	4.83692i	0.101903	−	0.176502i	−0.810566	−	0.585648i	$-0.800840\pi$
$751$	2.79259	−	4.83692i	0.101903	−	0.176502i	0.912469	+	0.409146i	$0.134173\pi$
$752$	3.94873	−	3.94873i	0.143996	−	0.143996i
$753$	8.83983	+	2.69817i	0.322141	+	0.0983266i
$754$	−2.43415			−0.0886465
$755$	−17.2292	−	0.314042i	−0.627037	−	0.0114291i
$756$	−4.93143	−	26.4880i	−0.179354	−	0.963360i
$757$	14.2400	+	14.2400i	0.517562	+	0.517562i	0.916833	−	0.399271i	$-0.130737\pi$
$757$	14.2400	+	14.2400i	0.517562	+	0.517562i	−0.399271	+	0.916833i	$0.630737\pi$
$758$	0.761818	−	0.761818i	0.0276705	−	0.0276705i
$759$	0.832510	+	1.56399i	0.0302182	+	0.0567692i
$760$	2.78253	−	2.68291i	0.100933	−	0.0973195i
$761$	21.8308	+	12.6040i	0.791365	+	0.456895i	0.840443	−	0.541900i	$-0.182295\pi$
$761$	21.8308	+	12.6040i	0.791365	+	0.456895i	−0.0490777	+	0.998795i	$0.515628\pi$
$762$	1.00630	+	0.307151i	0.0364544	+	0.0111269i
$763$	7.95124	+	12.9919i	0.287854	+	0.470337i
$764$			43.3509i			1.56838i
$765$	−2.71214	−	3.23123i	−0.0980575	−	0.116825i
$766$	−0.481524	−	0.278008i	−0.0173982	−	0.0100448i
$767$	11.8233	−	44.1251i	0.426914	−	1.59327i
$768$	6.51369	−	21.3404i	0.235042	−	0.770055i
$769$	−7.84671	−	13.5909i	−0.282960	−	0.490100i	0.689153	−	0.724616i	$-0.257983\pi$
$769$	−7.84671	−	13.5909i	−0.282960	−	0.490100i	−0.972112	+	0.234516i	$0.924650\pi$
$770$	0.174245	+	0.631597i	0.00627935	+	0.0227612i
$771$	40.3015	+	1.38881i	1.45142	+	0.0500167i
$772$	2.15219	+	2.15219i	0.0774590	+	0.0774590i
$773$	30.4235	−	8.15195i	1.09426	−	0.293205i	0.333833	−	0.942632i	$-0.391658\pi$
$773$	30.4235	−	8.15195i	1.09426	−	0.293205i	0.760424	+	0.649427i	$0.224991\pi$
$774$	1.99778	−	0.976655i	0.0718086	−	0.0351052i
$775$	10.8047	−	5.72357i	0.388116	−	0.205597i
$776$	8.74985	+	5.05173i	0.314101	+	0.181347i
$777$	17.9678	+	31.7662i	0.644592	+	1.13961i
$778$	−2.39669	−	0.642191i	−0.0859254	−	0.0230236i
$779$	19.8944	+	11.4861i	0.712792	+	0.411531i
$780$	−12.7085	−	24.9610i	−0.455036	−	0.893749i
$781$	3.15015	+	5.45623i	0.112721	+	0.195239i
$782$	0.225401	+	0.0603961i	0.00806033	+	0.00215976i
$783$	−16.8863	+	2.69840i	−0.603466	+	0.0964329i
$784$	−14.3119	−	22.0935i	−0.511139	−	0.789054i
$785$	−10.4191	−	41.9266i	−0.371874	−	1.49643i
$786$	−1.26829	−	0.0437061i	−0.0452386	−	0.00155894i
$787$	−14.2898	+	14.2898i	−0.509376	+	0.509376i	−0.914335	−	0.404959i	$-0.867286\pi$
$787$	−14.2898	+	14.2898i	−0.509376	+	0.509376i	0.404959	+	0.914335i	$0.367286\pi$
$788$	10.1299	−	10.1299i	0.360863	−	0.360863i
$789$	14.8989	−	23.8676i	0.530415	−	0.849711i
$790$	1.24988	+	5.02955i	0.0444689	+	0.178943i
$791$	18.5293	+	17.6037i	0.658825	+	0.625916i
$792$	−0.864039	−	0.992120i	−0.0307023	−	0.0352534i
$793$	−33.6036	−	9.00406i	−1.19330	−	0.319743i
$794$	−1.22937	−	2.12934i	−0.0436288	−	0.0755673i
$795$	15.4887	−	23.8341i	0.549326	−	0.845310i
$796$	−0.366407	−	0.211545i	−0.0129869	−	0.00749802i
$797$	−23.7485	−	6.36338i	−0.841213	−	0.225402i	−0.187614	−	0.982243i	$-0.560075\pi$
$797$	−23.7485	−	6.36338i	−0.841213	−	0.225402i	−0.653600	+	0.756840i	$0.726742\pi$
$798$	0.984885	+	1.74123i	0.0348646	+	0.0616388i
$799$	0.808744	+	0.466928i	0.0286113	+	0.0165187i
$800$	3.43965	−	11.1888i	0.121610	−	0.395583i
$801$	3.65622	−	52.9864i	0.129186	−	1.87218i
$802$	−3.48291	+	0.933243i	−0.122986	+	0.0329540i
$803$	−4.64335	−	4.64335i	−0.163860	−	0.163860i
$804$	1.11135	+	2.08782i	0.0391942	+	0.0736318i
$805$	−7.80159	−	7.68721i	−0.274970	−	0.270939i
$806$	−0.904360	−	1.56640i	−0.0318547	−	0.0551740i
$807$	−20.7206	−	22.1996i	−0.729398	−	0.781463i
$808$	0.985597	−	3.67830i	0.0346732	−	0.129402i
$809$	−46.0388	−	26.5805i	−1.61864	−	0.934522i	−0.987273	−	0.159037i	$-0.949161\pi$
$809$	−46.0388	−	26.5805i	−1.61864	−	0.934522i	−0.631367	−	0.775484i	$-0.717506\pi$
$810$	2.37440	+	3.26076i	0.0834279	+	0.114571i
$811$			5.78883i			0.203273i	0.994822	+	0.101637i	$0.0324079\pi$
$811$			5.78883i			0.203273i	−0.994822	+	0.101637i	$0.967592\pi$
$812$	−14.5550	+	8.90788i	−0.510779	+	0.312605i
$813$	−0.0448792	−	0.193986i	−0.00157398	−	0.00680340i
$814$	0.763830	+	0.440997i	0.0267722	+	0.0154569i
$815$	−31.7569	+	30.6200i	−1.11240	+	1.07257i
$816$	4.09372	+	0.141072i	0.143309	+	0.00493849i
$817$	5.69542	−	5.69542i	0.199258	−	0.199258i
$818$	2.54856	+	2.54856i	0.0891085	+	0.0891085i
$819$	28.5935	−	6.34951i	0.999139	−	0.221870i
$820$	46.2147	+	0.842366i	1.61389	+	0.0294167i
$821$	−20.4200			−0.712664			−0.356332	−	0.934359i	$-0.615973\pi$
$821$	−20.4200			−0.712664			−0.356332	+	0.934359i	$0.615973\pi$
$822$	0.581826	+	2.51489i	0.0202935	+	0.0877169i
$823$	−12.3570	+	12.3570i	−0.430738	+	0.430738i	−0.888880	−	0.458141i	$-0.848515\pi$
$823$	−12.3570	+	12.3570i	−0.430738	+	0.430738i	0.458141	+	0.888880i	$0.348515\pi$
$824$	−7.01328	+	12.1474i	−0.244319	+	0.423173i
$825$	3.13541	+	3.61479i	0.109161	+	0.125851i
$826$	1.86087	+	6.29538i	0.0647481	+	0.219044i
$827$	−22.7225	−	22.7225i	−0.790140	−	0.790140i	0.191377	−	0.981517i	$-0.438705\pi$
$827$	−22.7225	−	22.7225i	−0.790140	−	0.790140i	−0.981517	+	0.191377i	$0.938705\pi$
$828$	10.2950	+	3.53427i	0.357776	+	0.122824i
$829$	−2.36288	+	4.09264i	−0.0820664	+	0.142143i	−0.904137	−	0.427242i	$-0.859485\pi$
$829$	−2.36288	+	4.09264i	−0.0820664	+	0.142143i	0.822071	+	0.569385i	$0.192819\pi$
$830$	−2.77074	+	1.53305i	−0.0961739	+	0.0532131i
$831$	−0.511795	−	0.319478i	−0.0177540	−	0.0110826i
$832$	25.1362	+	6.73523i	0.871442	+	0.233502i
$833$	2.94930	−	3.26803i	0.102187	−	0.113231i
$834$	2.47661	+	1.54598i	0.0857580	+	0.0535328i
$835$	35.4292	−	34.1607i	1.22608	−	1.18218i
$836$	−2.04250	−	1.17924i	−0.0706415	−	0.0407849i
$837$	−8.01020	−	9.86393i	−0.276873	−	0.340947i
$838$	0.760893	−	2.83969i	0.0262846	−	0.0980955i
$839$	5.07213	−	8.78519i	0.175109	−	0.303299i	−0.765090	−	0.643924i	$-0.777305\pi$
$839$	5.07213	−	8.78519i	0.175109	−	0.303299i	0.940199	+	0.340625i	$0.110639\pi$
$840$	6.93062	+	4.25551i	0.239129	+	0.146829i
$841$	−9.08469	−	15.7351i	−0.313265	−	0.542591i
$842$	1.46153	−	0.391615i	0.0503676	−	0.0134960i
$843$	−8.62144	−	9.23685i	−0.296938	−	0.318134i
$844$	0.342397	−	0.197683i	0.0117858	−	0.00680453i
$845$	1.20828	−	0.668542i	0.0415661	−	0.0229986i
$846$	−0.740720	−	0.498632i	−0.0254665	−	0.0171433i
$847$	−24.1343	+	14.7706i	−0.829265	+	0.507524i
$848$	7.14333	+	26.6593i	0.245303	+	0.915483i
$849$	−16.9813	+	9.03912i	−0.582796	+	0.310222i
$850$	0.629815	+	0.0229672i	0.0216025	+	0.000787769i
$851$	−14.7439			−0.505414
$852$	37.0198	+	11.2995i	1.26828	+	0.387114i
$853$	−8.42485	+	2.25743i	−0.288461	+	0.0772930i	−0.400148	−	0.916450i	$-0.631041\pi$
$853$	−8.42485	+	2.25743i	−0.288461	+	0.0772930i	0.111687	+	0.993743i	$0.464375\pi$
$854$	4.79427	−	1.41715i	0.164056	−	0.0484940i
$855$	11.9692	+	8.37833i	0.409340	+	0.286533i
$856$	−5.78632	−	10.0222i	−0.197772	−	0.342552i
$857$	−17.4371	−	4.67224i	−0.595638	−	0.159601i	−0.0516095	−	0.998667i	$-0.516435\pi$
$857$	−17.4371	−	4.67224i	−0.595638	−	0.159601i	−0.544029	+	0.839067i	$0.683102\pi$
$858$	0.517471	−	0.482994i	0.0176662	−	0.0164891i
$859$	−22.1198	+	38.3125i	−0.754716	+	1.30721i	0.190799	+	0.981629i	$0.438892\pi$
$859$	−22.1198	+	38.3125i	−0.754716	+	1.30721i	−0.945515	+	0.325578i	$0.894441\pi$
$860$	4.47917	−	15.5753i	0.152739	−	0.531115i
$861$	−12.9220	+	46.5754i	−0.440382	+	1.58729i
$862$	2.59915	−	0.696440i	0.0885273	−	0.0237208i
$863$	14.6868	+	3.93531i	0.499944	+	0.133959i	0.499974	−	0.866041i	$-0.333343\pi$
$863$	14.6868	+	3.93531i	0.499944	+	0.133959i	−3.01952e−5		1.00000i	$0.500010\pi$
$864$	−12.0999	−	1.25488i	−0.411646	−	0.0426918i
$865$	−26.3982	+	6.56017i	−0.897565	+	0.223052i
$866$		−	1.73023i		−	0.0587956i
$867$	−6.48245	−	28.0198i	−0.220155	−	0.951602i
$868$	−11.1399	−	6.05671i	−0.378113	−	0.205578i
$869$	5.53325	−	3.19462i	0.187703	−	0.108370i
$870$	1.39207	−	2.14213i	0.0471955	−	0.0726251i
$871$	−2.22673	+	1.28560i	−0.0754497	+	0.0435609i
$872$	4.41363	−	1.18263i	0.149464	−	0.0400488i
$873$	−12.4001	+	36.1204i	−0.419680	+	1.22249i
$874$	−0.808170			−0.0273367
$875$	−25.1767	−	15.5284i	−0.851129	−	0.524957i
$876$	−40.3184	−	1.38939i	−1.36223	−	0.0469432i
$877$	−28.4607	+	7.62602i	−0.961049	+	0.257512i	−0.705044	−	0.709163i	$-0.749073\pi$
$877$	−28.4607	+	7.62602i	−0.961049	+	0.257512i	−0.256005	+	0.966676i	$0.582406\pi$
$878$	1.28047	+	1.28047i	0.0432137	+	0.0432137i
$879$	41.5608	+	25.9435i	1.40181	+	0.875052i
$880$	−4.64548	−	0.0846742i	−0.156599	−	0.00285437i
$881$			21.0835i			0.710323i	0.934805	+	0.355161i	$0.115574\pi$
$881$			21.0835i			0.710323i	−0.934805	+	0.355161i	$0.884426\pi$
$882$	−3.02842	+	2.92322i	−0.101972	+	0.0984300i
$883$	−20.6426	+	20.6426i	−0.694680	+	0.694680i	−0.963258	−	0.268578i	$-0.913446\pi$
$883$	−20.6426	+	20.6426i	−0.694680	+	0.694680i	0.268578	+	0.963258i	$0.413446\pi$
$884$			4.54808i			0.152969i
$885$	32.0699	+	35.6397i	1.07802	+	1.19801i
$886$	−4.06773			−0.136658
$887$	−14.0205	−	52.3251i	−0.470761	−	1.75690i	−0.637046	−	0.770826i	$-0.719844\pi$
$887$	−14.0205	−	52.3251i	−0.470761	−	1.75690i	0.166285	−	0.986078i	$-0.446823\pi$
$888$	10.6664	−	2.46769i	0.357940	−	0.0828103i
$889$	2.27296	+	7.68950i	0.0762328	+	0.257897i
$890$	5.50750	+	5.71200i	0.184612	+	0.191467i
$891$	3.05439	−	3.92429i	0.102326	−	0.131469i
$892$	3.42163	+	12.7697i	0.114565	+	0.427561i
$893$	−3.12402	−	0.837079i	−0.104541	−	0.0280118i
$894$	4.80759	+	0.165672i	0.160790	+	0.00554089i
$895$	26.5416	−	14.6855i	0.887186	−	0.490880i
$896$	−15.4661	+	4.57167i	−0.516685	+	0.152729i
$897$	−3.45440	+	11.3174i	−0.115339	+	0.377878i
$898$	−2.53748	+	2.53748i	−0.0846768	+	0.0846768i
$899$	−4.02391	+	6.96961i	−0.134205	+	0.232450i
$900$	29.2344	+	3.09112i	0.974481	+	0.103037i
$901$	−3.99708	+	2.30771i	−0.133162	+	0.0768811i
$902$	0.302329	+	1.12831i	0.0100665	+	0.0375686i
$903$	14.6013	+	8.60299i	0.485901	+	0.286290i
$904$	6.63987	−	3.83353i	0.220839	−	0.127501i
$905$	−43.3897	−	26.1168i	−1.44232	−	0.868151i
$906$	−2.26950	−	1.41669i	−0.0753990	−	0.0470664i
$907$	−10.7512	+	40.1241i	−0.356988	+	1.33230i	0.520976	+	0.853571i	$0.325568\pi$
$907$	−10.7512	+	40.1241i	−0.356988	+	1.33230i	−0.877964	+	0.478726i	$0.841099\pi$
$908$	7.20834	−	26.9019i	0.239217	−	0.892770i
$909$	14.3597	+	0.990863i	0.476282	+	0.0328649i
$910$	−2.15984	+	3.80558i	−0.0715980	+	0.126154i
$911$	−7.27019	+	12.5923i	−0.240872	+	0.417203i	−0.960963	−	0.276677i	$-0.910767\pi$
$911$	−7.27019	+	12.5923i	−0.240872	+	0.417203i	0.720091	+	0.693880i	$0.244100\pi$
$912$	−13.8211	+	3.19755i	−0.457663	+	0.105882i
$913$	2.76048	+	2.76048i	0.0913585	+	0.0913585i
$914$		−	4.62163i		−	0.152870i
$915$	27.1415	−	24.4230i	0.897269	−	0.807398i
$916$	−14.4439	−	8.33917i	−0.477239	−	0.275534i
$917$	−5.04866	−	8.24922i	−0.166722	−	0.272413i
$918$	−0.103350	−	0.646753i	−0.00341106	−	0.0213460i
$919$	−32.1003	+	18.5331i	−1.05889	+	0.611351i	−0.925125	−	0.379662i	$-0.876040\pi$
$919$	−32.1003	+	18.5331i	−1.05889	+	0.611351i	−0.133765	+	0.991013i	$0.542707\pi$
$920$	−2.87486	+	1.59066i	−0.0947815	+	0.0524426i
$921$	5.50012	+	10.3328i	0.181235	+	0.340476i
$922$	0.554251	+	2.06849i	0.0182533	+	0.0681221i
$923$	−10.8904	+	40.6435i	−0.358462	+	1.33780i
$924$	1.32667	−	4.78176i	0.0436442	−	0.157308i
$925$	−38.8132	+	8.89765i	−1.27617	+	0.292553i
$926$	1.06907	+	1.85168i	0.0351317	+	0.0608499i
$927$	−50.1456	−	17.2150i	−1.64700	−	0.565414i
$928$	1.99409	+	7.44205i	0.0654592	+	0.244297i
$929$	46.7401			1.53349			0.766747	−	0.641950i	$-0.221874\pi$
$929$	46.7401			1.53349			0.766747	+	0.641950i	$0.221874\pi$
$930$	1.89568	+	0.0999418i	0.0621618	+	0.00327722i
$931$	−6.93692	+	13.5762i	−0.227348	+	0.444941i
$932$	−11.8716	+	44.3056i	−0.388869	+	1.45128i
$933$	−34.3185	−	10.4750i	−1.12354	−	0.342935i
$934$	−3.11166	−	5.38956i	−0.101817	−	0.176352i
$935$	−0.187387	−	0.754045i	−0.00612819	−	0.0246599i
$936$	0.604858	−	8.76569i	0.0197704	−	0.286516i
$937$	−25.2527	+	25.2527i	−0.824968	+	0.824968i	−0.986816	−	0.161848i	$-0.948255\pi$
$937$	−25.2527	+	25.2527i	−0.824968	+	0.824968i	0.161848	+	0.986816i	$0.448255\pi$
$938$	0.176492	−	0.324616i	0.00576267	−	0.0105991i
$939$	7.08586	−	3.77180i	0.231238	−	0.123088i
$940$	−6.31552	+	1.56946i	−0.205990	+	0.0511901i
$941$			8.46367i			0.275908i	0.990439	+	0.137954i	$0.0440526\pi$
$941$			8.46367i			0.275908i	−0.990439	+	0.137954i	$0.955947\pi$
$942$	1.95808	−	6.41514i	0.0637977	−	0.209016i
$943$	−13.8075	−	13.8075i	−0.449634	−	0.449634i
$944$	−46.5528			−1.51517
$945$	−10.7646	+	28.7945i	−0.350173	+	0.936685i
$946$	0.409566			0.0133161
$947$	−27.2326	−	27.2326i	−0.884942	−	0.884942i	0.109090	−	0.994032i	$-0.465206\pi$
$947$	−27.2326	−	27.2326i	−0.884942	−	0.884942i	−0.994032	+	0.109090i	$0.965206\pi$
$948$	11.4590	−	37.5424i	0.372170	−	1.21932i
$949$		−	43.8563i		−	1.42364i
$950$	−2.12750	+	0.487714i	−0.0690253	+	0.0158235i
$951$	17.4017	−	9.26289i	0.564287	−	0.300370i
$952$	−0.689347	−	1.12635i	−0.0223419	−	0.0365053i
$953$	7.35732	−	7.35732i	0.238327	−	0.238327i	−0.577830	−	0.816157i	$-0.696100\pi$
$953$	7.35732	−	7.35732i	0.238327	−	0.238327i	0.816157	+	0.577830i	$0.196100\pi$
$954$	3.96467	−	1.93822i	0.128361	−	0.0627520i
$955$	25.5071	−	42.3769i	0.825392	−	1.37128i
$956$	−23.7504	−	41.1369i	−0.768143	−	1.33046i
$957$	−3.01237	−	0.919460i	−0.0973761	−	0.0297219i
$958$	−1.22101	+	4.55688i	−0.0394491	+	0.147226i
$959$	−13.5498	+	14.2622i	−0.437545	+	0.460550i
$960$	−20.3024	+	18.2689i	−0.655258	+	0.589626i
$961$	25.0200			0.807096
$962$	1.52457	+	5.68978i	0.0491542	+	0.183446i
$963$	32.9867	−	28.7282i	1.06298	−	0.925754i
$964$	−8.20427	−	14.2102i	−0.264242	−	0.457680i
$965$	−0.837512	−	3.37016i	−0.0269605	−	0.108489i
$966$	−0.425574	−	1.64632i	−0.0136926	−	0.0529696i
$967$	4.78607	−	17.8619i	0.153910	−	0.574399i	−0.845287	−	0.534313i	$-0.820570\pi$
$967$	4.78607	−	17.8619i	0.153910	−	0.574399i	0.999196	−	0.0400856i	$-0.0127631\pi$
$968$	2.19691	+	8.19897i	0.0706113	+	0.263525i
$969$	−1.11470	−	2.09412i	−0.0358093	−	0.0672729i
$970$	−2.76214	−	4.99211i	−0.0886868	−	0.160287i
$971$	−10.3938	+	6.00084i	−0.333552	+	0.192576i	−0.657417	−	0.753527i	$-0.728351\pi$
$971$	−10.3938	+	6.00084i	−0.333552	+	0.192576i	0.323865	+	0.946103i	$0.395018\pi$
$972$	−2.73262	−	30.4282i	−0.0876487	−	0.975985i
$973$	0.569756	+	22.2427i	0.0182655	+	0.713069i
$974$	−6.66385	−	3.84737i	−0.213523	−	0.123278i
$975$	−2.26384	+	31.8778i	−0.0725010	+	1.02091i
$976$			35.4524i			1.13481i
$977$	6.52057	+	6.52057i	0.208612	+	0.208612i	0.803677	−	0.595066i	$-0.202874\pi$
$977$	6.52057	+	6.52057i	0.208612	+	0.208612i	−0.595066	+	0.803677i	$0.702874\pi$
$978$	−6.67276	+	1.54376i	−0.213371	+	0.0493640i
$979$	4.89112	−	8.47167i	0.156321	−	0.270756i
$980$	1.01196	+	30.6594i	0.0323257	+	0.979380i
$981$	7.58553	+	15.5164i	0.242187	+	0.495401i
$982$	−0.785543	+	2.93169i	−0.0250677	+	0.0935538i
$983$	−4.73180	+	17.6593i	−0.150921	+	0.563245i	0.848499	+	0.529197i	$0.177507\pi$
$983$	−4.73180	+	17.6593i	−0.150921	+	0.563245i	−0.999420	+	0.0340482i	$0.989160\pi$
$984$	12.2999	+	7.67798i	0.392107	+	0.244765i
$985$	−15.8626	+	3.94199i	−0.505425	+	0.125602i
$986$	−0.359244	+	0.207410i	−0.0114407	+	0.00660527i
$987$	0.0601356	−	6.80474i	0.00191414	−	0.216597i
$988$	−4.07676	−	15.2147i	−0.129699	−	0.484043i
$989$	−5.92927	+	3.42326i	−0.188540	+	0.108853i
$990$	0.129114	+	0.731612i	0.00410352	+	0.0232521i
$991$	9.12632	−	15.8072i	0.289907	−	0.502134i	−0.683880	−	0.729594i	$-0.739709\pi$
$991$	9.12632	−	15.8072i	0.289907	−	0.502134i	0.973787	+	0.227461i	$0.0730423\pi$
$992$	−4.04816	+	4.04816i	−0.128529	+	0.128529i
$993$	12.8614	−	42.1370i	0.408144	−	1.33718i
$994$	−1.71405	−	5.79867i	−0.0543663	−	0.183923i
$995$	0.233704	+	0.422382i	0.00740892	+	0.0133904i
$996$	23.9693	+	0.825996i	0.759498	+	0.0261727i
$997$	28.5577	+	7.65201i	0.904431	+	0.242341i	0.680918	−	0.732360i	$-0.261581\pi$
$997$	28.5577	+	7.65201i	0.904431	+	0.242341i	0.223513	+	0.974701i	$0.428248\pi$
$998$	0.261438	+	0.975700i	0.00827568	+	0.0308852i
$999$	16.8838	+	37.7813i	0.534179	+	1.19535i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	315.2.bs.e.52.19	✓	160
3.2	odd	2		945.2.bv.e.262.22		160
5.3	odd	4	inner	315.2.bs.e.178.19	yes	160
7.5	odd	6		315.2.cg.e.187.19	yes	160
9.4	even	3		315.2.cg.e.157.22	yes	160
9.5	odd	6		945.2.cj.e.577.19		160
15.8	even	4		945.2.bv.e.73.22		160
21.5	even	6		945.2.cj.e.397.22		160
35.33	even	12		315.2.cg.e.313.22	yes	160
45.13	odd	12		315.2.cg.e.283.19	yes	160
45.23	even	12		945.2.cj.e.388.22		160
63.5	even	6		945.2.bv.e.712.22		160
63.40	odd	6	inner	315.2.bs.e.292.19	yes	160
105.68	odd	12		945.2.cj.e.208.19		160
315.68	odd	12		945.2.bv.e.523.22		160
315.103	even	12	inner	315.2.bs.e.103.19	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
315.2.bs.e.52.19	✓	160	1.1	even	1	trivial
315.2.bs.e.103.19	yes	160	315.103	even	12	inner
315.2.bs.e.178.19	yes	160	5.3	odd	4	inner
315.2.bs.e.292.19	yes	160	63.40	odd	6	inner
315.2.cg.e.157.22	yes	160	9.4	even	3
315.2.cg.e.187.19	yes	160	7.5	odd	6
315.2.cg.e.283.19	yes	160	45.13	odd	12
315.2.cg.e.313.22	yes	160	35.33	even	12
945.2.bv.e.73.22		160	15.8	even	4
945.2.bv.e.262.22		160	3.2	odd	2
945.2.bv.e.523.22		160	315.68	odd	12
945.2.bv.e.712.22		160	63.5	even	6
945.2.cj.e.208.19		160	105.68	odd	12
945.2.cj.e.388.22		160	45.23	even	12
945.2.cj.e.397.22		160	21.5	even	6
945.2.cj.e.577.19		160	9.5	odd	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)

\(f(q)\)	\(=\)	\(q+(-0.141728 - 0.141728i) q^{2} +(0.505641 - 1.65660i) q^{3} -1.95983i q^{4} +(-1.15314 + 1.91579i) q^{5} +(-0.306450 + 0.163123i) q^{6} +(-2.32441 - 1.26377i) q^{7} +(-0.561218 + 0.561218i) q^{8} +(-2.48865 - 1.67529i) q^{9} +O(q^{10})\)	\(q+(-0.141728 - 0.141728i) q^{2} +(0.505641 - 1.65660i) q^{3} -1.95983i q^{4} +(-1.15314 + 1.91579i) q^{5} +(-0.306450 + 0.163123i) q^{6} +(-2.32441 - 1.26377i) q^{7} +(-0.561218 + 0.561218i) q^{8} +(-2.48865 - 1.67529i) q^{9} +(0.434954 - 0.108090i) q^{10} +(-0.276270 - 0.478514i) q^{11} +(-3.24665 - 0.990969i) q^{12} +(0.955093 - 3.56446i) q^{13} +(0.150323 + 0.508546i) q^{14} +(2.59063 + 2.87900i) q^{15} -3.76057 q^{16} +(-0.162764 - 0.607442i) q^{17} +(0.115276 + 0.590148i) q^{18} +(1.08898 + 1.88617i) q^{19} +(3.75463 + 2.25995i) q^{20} +(-3.26888 + 3.21161i) q^{21} +(-0.0286636 + 0.106974i) q^{22} +(-0.479156 - 1.78823i) q^{23} +(0.645940 + 1.21349i) q^{24} +(-2.34054 - 4.41836i) q^{25} +(-0.640547 + 0.369820i) q^{26} +(-4.03366 + 3.27561i) q^{27} +(-2.47677 + 4.55544i) q^{28} +(2.85008 + 1.64550i) q^{29} +(0.0408692 - 0.775200i) q^{30} +2.44541i q^{31} +(1.65541 + 1.65541i) q^{32} +(-0.932400 + 0.215713i) q^{33} +(-0.0630234 + 0.109160i) q^{34} +(5.10149 - 2.99579i) q^{35} +(-3.28328 + 4.87733i) q^{36} +(2.06124 - 7.69264i) q^{37} +(0.112984 - 0.421663i) q^{38} +(-5.42195 - 3.38454i) q^{39} +(-0.428016 - 1.72234i) q^{40} +(9.13441 - 5.27375i) q^{41} +(0.918466 + 0.00811677i) q^{42} +(-0.957163 - 3.57218i) q^{43} +(-0.937804 + 0.541441i) q^{44} +(6.07928 - 2.83591i) q^{45} +(-0.185533 + 0.321353i) q^{46} +(-1.05004 + 1.05004i) q^{47} +(-1.90150 + 6.22977i) q^{48} +(3.80578 + 5.87504i) q^{49} +(-0.294485 + 0.957925i) q^{50} +(-1.08859 - 0.0375133i) q^{51} +(-6.98572 - 1.87182i) q^{52} +(-1.89953 - 7.08915i) q^{53} +(1.03593 + 0.107436i) q^{54} +(1.23531 + 0.0225163i) q^{55} +(2.01375 - 0.595252i) q^{56} +(3.67527 - 0.850284i) q^{57} +(-0.170724 - 0.637149i) q^{58} +12.3792 q^{59} +(5.64233 - 5.07719i) q^{60} -9.42741i q^{61} +(0.346583 - 0.346583i) q^{62} +(3.66747 + 7.03915i) q^{63} +7.05191i q^{64} +(5.72741 + 5.94008i) q^{65} +(0.162720 + 0.101575i) q^{66} +(-0.492688 - 0.492688i) q^{67} +(-1.19048 + 0.318989i) q^{68} +(-3.20467 - 0.110435i) q^{69} +(-1.14761 - 0.298436i) q^{70} -11.4025 q^{71} +(2.33688 - 0.456474i) q^{72} +(11.4796 - 3.07595i) q^{73} +(-1.38240 + 0.798128i) q^{74} +(-8.50293 + 1.64324i) q^{75} +(3.69657 - 2.13422i) q^{76} +(0.0374344 + 1.46140i) q^{77} +(0.288757 + 1.24813i) q^{78} +11.5634i q^{79} +(4.33646 - 7.20448i) q^{80} +(3.38680 + 8.33844i) q^{81} +(-2.04204 - 0.547163i) q^{82} +(-6.82464 + 1.82866i) q^{83} +(6.29420 + 6.40643i) q^{84} +(1.35142 + 0.388644i) q^{85} +(-0.370621 + 0.641935i) q^{86} +(4.16705 - 3.88942i) q^{87} +(0.423598 + 0.113503i) q^{88} +(8.85207 + 15.3322i) q^{89} +(-1.26353 - 0.459677i) q^{90} +(-6.72468 + 7.07825i) q^{91} +(-3.50463 + 0.939062i) q^{92} +(4.05106 + 1.23650i) q^{93} +0.297639 q^{94} +(-4.86927 - 0.0887534i) q^{95} +(3.57941 - 1.90532i) q^{96} +(-3.29473 - 12.2961i) q^{97} +(0.293272 - 1.37204i) q^{98} +(-0.114109 + 1.65369i) 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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