LMFDB - Embedded newform 930.2.bo.b.179.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.5
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-1.51134 - 0.846071i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.97712 - 1.04451i) q^{5} +(-0.337630 + 1.69882i) q^{6} +(-1.83029 + 4.11091i) q^{7} +(0.809017 + 0.587785i) q^{8} +(1.56833 + 2.55741i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.51134 - 0.846071i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.97712 - 1.04451i) q^{5} +(-0.337630 + 1.69882i) q^{6} +(-1.83029 + 4.11091i) q^{7} +(0.809017 + 0.587785i) q^{8} +(1.56833 + 2.55741i) q^{9} +(-1.60435 - 1.55758i) q^{10} +(0.0471973 + 0.449052i) q^{11} +(1.72001 - 0.203860i) q^{12} +(-3.07106 - 3.41076i) q^{13} +(4.47530 + 0.470373i) q^{14} +(-3.87184 - 0.0941659i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.06966 - 0.217530i) q^{17} +(1.94760 - 2.28185i) q^{18} +(1.48322 - 1.64728i) q^{19} +(-0.985574 + 2.00715i) q^{20} +(6.24433 - 4.66444i) q^{21} +(0.412489 - 0.183652i) q^{22} +(4.25479 - 5.85622i) q^{23} +(-0.725396 - 1.57283i) q^{24} +(2.81799 - 4.13024i) q^{25} +(-2.29481 + 3.97473i) q^{26} +(-0.206531 - 5.19205i) q^{27} +(-0.935592 - 4.40162i) q^{28} +(-3.10587 - 9.55887i) q^{29} +(1.10691 + 3.71144i) q^{30} +(3.05149 + 4.65708i) q^{31} -1.00000 q^{32} +(0.308599 - 0.718605i) q^{33} +(0.432677 + 2.03558i) q^{34} +(0.675182 + 10.0395i) q^{35} +(-2.77201 - 1.14715i) q^{36} +(-2.71657 - 4.70524i) q^{37} +(-2.02500 - 0.901587i) q^{38} +(1.75569 + 7.75317i) q^{39} +(2.21347 + 0.317093i) q^{40} +(0.351127 - 1.65192i) q^{41} +(-6.36575 - 4.49732i) q^{42} +(3.63538 - 4.03750i) q^{43} +(-0.302130 - 0.335549i) q^{44} +(5.77201 + 3.41817i) q^{45} +(-6.88439 - 2.23688i) q^{46} +(0.220754 - 0.679410i) q^{47} +(-1.27169 + 1.17592i) q^{48} +(-8.86568 - 9.84634i) q^{49} +(-4.79890 - 1.40375i) q^{50} +(2.94392 + 2.07984i) q^{51} +(4.48933 + 0.954237i) q^{52} +(4.19690 + 9.42640i) q^{53} +(-4.87411 + 1.80085i) q^{54} +(0.562355 + 0.838531i) q^{55} +(-3.89707 + 2.24998i) q^{56} +(-3.63537 + 1.23470i) q^{57} +(-8.13126 + 5.90771i) q^{58} +(-1.03280 - 4.85893i) q^{59} +(3.18773 - 2.19963i) q^{60} -14.7363i q^{61} +(3.48618 - 4.34126i) q^{62} +(-13.3838 + 1.76643i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-9.63442 - 3.53571i) q^{65} +(-0.778796 - 0.0714337i) q^{66} +(-1.82992 - 1.05650i) q^{67} +(1.80225 - 1.04053i) q^{68} +(-11.3852 + 5.25091i) q^{69} +(9.33951 - 3.74452i) q^{70} +(3.72061 + 8.35663i) q^{71} +(-0.234405 + 2.99083i) q^{72} +(-0.0721085 - 0.686067i) q^{73} +(-3.63548 + 4.03761i) q^{74} +(-7.75344 + 3.85800i) q^{75} +(-0.231701 + 2.20449i) q^{76} +(-1.93240 - 0.627874i) q^{77} +(6.83116 - 4.06562i) q^{78} +(-14.7279 - 1.54797i) q^{79} +(-0.382426 - 2.20312i) q^{80} +(-4.08070 + 8.02171i) q^{81} +(-1.67958 + 0.176531i) q^{82} +(-1.69798 + 7.98836i) q^{83} +(-2.31008 + 7.44394i) q^{84} +(-4.31917 + 1.73170i) q^{85} +(-4.96328 - 2.20980i) q^{86} +(-3.39345 + 17.0745i) q^{87} +(-0.225763 + 0.391033i) q^{88} +(5.08346 - 3.69335i) q^{89} +(1.46722 - 6.54578i) q^{90} +(19.6423 - 6.38216i) q^{91} +7.23868i q^{92} +(-0.671632 - 9.62023i) q^{93} -0.714374 q^{94} +(1.21189 - 4.80611i) q^{95} +(1.51134 + 0.846071i) q^{96} +(-1.41491 - 1.94746i) q^{97} +(-6.62478 + 11.4745i) q^{98} +(-1.07439 + 0.824964i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−1.51134	−	0.846071i	−0.872575	−	0.488479i
$3$	−1.51134	−	0.846071i	−0.872575	−	0.488479i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	1.97712	−	1.04451i	0.884194	−	0.467120i
$5$	1.97712	−	1.04451i	0.884194	−	0.467120i
$6$	−0.337630	+	1.69882i	−0.137837	+	0.693542i
$7$	−1.83029	+	4.11091i	−0.691786	+	1.55378i	0.134741	+	0.990881i	$0.456980\pi$
$7$	−1.83029	+	4.11091i	−0.691786	+	1.55378i	−0.826527	+	0.562897i	$0.809687\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	1.56833	+	2.55741i	0.522776	+	0.852470i
$10$	−1.60435	−	1.55758i	−0.507341	−	0.492550i
$11$	0.0471973	+	0.449052i	0.0142305	+	0.135394i	0.999330	−	0.0365888i	$-0.0116492\pi$
$11$	0.0471973	+	0.449052i	0.0142305	+	0.135394i	−0.985100	+	0.171983i	$0.944983\pi$
$12$	1.72001	−	0.203860i	0.496525	−	0.0588494i
$13$	−3.07106	−	3.41076i	−0.851759	−	0.945974i	0.147311	−	0.989090i	$-0.452938\pi$
$13$	−3.07106	−	3.41076i	−0.851759	−	0.945974i	−0.999070	+	0.0431163i	$0.986271\pi$
$14$	4.47530	+	0.470373i	1.19607	+	0.125712i
$15$	−3.87184	−	0.0941659i	−0.999704	−	0.0243135i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−2.06966	−	0.217530i	−0.501966	−	0.0527588i	−0.149838	−	0.988711i	$-0.547875\pi$
$17$	−2.06966	−	0.217530i	−0.501966	−	0.0527588i	−0.352128	+	0.935952i	$0.614542\pi$
$18$	1.94760	−	2.28185i	0.459054	−	0.537837i
$19$	1.48322	−	1.64728i	0.340274	−	0.377912i	−0.548584	−	0.836095i	$-0.684833\pi$
$19$	1.48322	−	1.64728i	0.340274	−	0.377912i	0.888858	+	0.458183i	$0.151500\pi$
$20$	−0.985574	+	2.00715i	−0.220381	+	0.448812i
$21$	6.24433	−	4.66444i	1.36262	−	1.01786i
$22$	0.412489	−	0.183652i	0.0879430	−	0.0391548i
$23$	4.25479	−	5.85622i	0.887185	−	1.22111i	−0.0871935	−	0.996191i	$-0.527790\pi$
$23$	4.25479	−	5.85622i	0.887185	−	1.22111i	0.974379	−	0.224914i	$-0.0722101\pi$
$24$	−0.725396	−	1.57283i	−0.148071	−	0.321053i
$25$	2.81799	−	4.13024i	0.563598	−	0.826049i
$26$	−2.29481	+	3.97473i	−0.450050	+	0.779509i
$27$	−0.206531	−	5.19205i	−0.0397469	−	0.999210i
$28$	−0.935592	−	4.40162i	−0.176810	−	0.831827i
$29$	−3.10587	−	9.55887i	−0.576745	−	1.77504i	−0.630160	−	0.776465i	$-0.717011\pi$
$29$	−3.10587	−	9.55887i	−0.576745	−	1.77504i	0.0534155	−	0.998572i	$-0.482989\pi$
$30$	1.10691	+	3.71144i	0.202093	+	0.677612i
$31$	3.05149	+	4.65708i	0.548064	+	0.836436i
$31$	3.05149	+	4.65708i	0.548064	+	0.836436i
$32$	−1.00000			−0.176777
$33$	0.308599	−	0.718605i	0.0537202	−	0.125093i
$34$	0.432677	+	2.03558i	0.0742035	+	0.349100i
$35$	0.675182	+	10.0395i	0.114127	+	1.69699i
$36$	−2.77201	−	1.14715i	−0.462002	−	0.191192i
$37$	−2.71657	−	4.70524i	−0.446601	−	0.773536i	0.551561	−	0.834135i	$-0.314032\pi$
$37$	−2.71657	−	4.70524i	−0.446601	−	0.773536i	−0.998162	+	0.0605986i	$0.980699\pi$
$38$	−2.02500	−	0.901587i	−0.328498	−	0.146257i
$39$	1.75569	+	7.75317i	0.281135	+	1.24150i
$40$	2.21347	+	0.317093i	0.349980	+	0.0501369i
$41$	0.351127	−	1.65192i	0.0548368	−	0.257987i	−0.942186	−	0.335089i	$-0.891233\pi$
$41$	0.351127	−	1.65192i	0.0548368	−	0.257987i	0.997023	+	0.0771023i	$0.0245668\pi$
$42$	−6.36575	−	4.49732i	−0.982257	−	0.693951i
$43$	3.63538	−	4.03750i	0.554390	−	0.615712i	−0.399184	−	0.916871i	$-0.630707\pi$
$43$	3.63538	−	4.03750i	0.554390	−	0.615712i	0.953574	+	0.301158i	$0.0973733\pi$
$44$	−0.302130	−	0.335549i	−0.0455478	−	0.0505859i
$45$	5.77201	+	3.41817i	0.860441	+	0.509550i
$46$	−6.88439	−	2.23688i	−1.01505	−	0.329809i
$47$	0.220754	−	0.679410i	0.0322002	−	0.0991021i	−0.933665	−	0.358148i	$-0.883408\pi$
$47$	0.220754	−	0.679410i	0.0322002	−	0.0991021i	0.965865	+	0.259046i	$0.0834082\pi$
$48$	−1.27169	+	1.17592i	−0.183553	+	0.169730i
$49$	−8.86568	−	9.84634i	−1.26653	−	1.40662i
$50$	−4.79890	−	1.40375i	−0.678667	−	0.198521i
$51$	2.94392	+	2.07984i	0.412232	+	0.291236i
$52$	4.48933	+	0.954237i	0.622558	+	0.132329i
$53$	4.19690	+	9.42640i	0.576489	+	1.29482i	0.932782	+	0.360441i	$0.117374\pi$
$53$	4.19690	+	9.42640i	0.576489	+	1.29482i	−0.356293	+	0.934374i	$0.615960\pi$
$54$	−4.87411	+	1.80085i	−0.663282	+	0.245065i
$55$	0.562355	+	0.838531i	0.0758279	+	0.113068i
$56$	−3.89707	+	2.24998i	−0.520768	+	0.300666i
$57$	−3.63537	+	1.23470i	−0.481517	+	0.163540i
$58$	−8.13126	+	5.90771i	−1.06769	+	0.775720i
$59$	−1.03280	−	4.85893i	−0.134459	−	0.632579i	−0.992828	−	0.119547i	$-0.961856\pi$
$59$	−1.03280	−	4.85893i	−0.134459	−	0.632579i	0.858370	−	0.513032i	$-0.171478\pi$
$60$	3.18773	−	2.19963i	0.411534	−	0.283971i
$61$		−	14.7363i		−	1.88679i	−0.331667	−	0.943397i	$-0.607611\pi$
$61$		−	14.7363i		−	1.88679i	0.331667	−	0.943397i	$-0.392389\pi$
$62$	3.48618	−	4.34126i	0.442746	−	0.551340i
$63$	−13.3838	+	1.76643i	−1.68620	+	0.222550i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−9.63442	−	3.53571i	−1.19500	−	0.438551i
$66$	−0.778796	−	0.0714337i	−0.0958632	−	0.00879288i
$67$	−1.82992	−	1.05650i	−0.223560	−	0.129073i	0.384037	−	0.923318i	$-0.374533\pi$
$67$	−1.82992	−	1.05650i	−0.223560	−	0.129073i	−0.607598	+	0.794245i	$0.707867\pi$
$68$	1.80225	−	1.04053i	0.218555	−	0.126183i
$69$	−11.3852	+	5.25091i	−1.37062	+	0.632135i
$70$	9.33951	−	3.74452i	1.11628	−	0.447556i
$71$	3.72061	+	8.35663i	0.441555	+	0.991749i	0.988028	+	0.154273i	$0.0493034\pi$
$71$	3.72061	+	8.35663i	0.441555	+	0.991749i	−0.546473	+	0.837477i	$0.684030\pi$
$72$	−0.234405	+	2.99083i	−0.0276249	+	0.352472i
$73$	−0.0721085	−	0.686067i	−0.00843967	−	0.0802981i	0.989491	−	0.144592i	$-0.0461871\pi$
$73$	−0.0721085	−	0.686067i	−0.00843967	−	0.0802981i	−0.997931	+	0.0642942i	$0.979520\pi$
$74$	−3.63548	+	4.03761i	−0.422616	+	0.469362i
$75$	−7.75344	+	3.85800i	−0.895290	+	0.445484i
$76$	−0.231701	+	2.20449i	−0.0265780	+	0.252873i
$77$	−1.93240	−	0.627874i	−0.220217	−	0.0715529i
$78$	6.83116	−	4.06562i	0.773477	−	0.460340i
$79$	−14.7279	−	1.54797i	−1.65702	−	0.174160i	−0.770690	−	0.637210i	$-0.780088\pi$
$79$	−14.7279	−	1.54797i	−1.65702	−	0.174160i	−0.886332	+	0.463050i	$0.846755\pi$
$80$	−0.382426	−	2.20312i	−0.0427566	−	0.246317i
$81$	−4.08070	+	8.02171i	−0.453411	+	0.891301i
$82$	−1.67958	+	0.176531i	−0.185478	+	0.0194945i
$83$	−1.69798	+	7.98836i	−0.186377	+	0.876837i	0.781204	+	0.624276i	$0.214606\pi$
$83$	−1.69798	+	7.98836i	−0.186377	+	0.876837i	−0.967581	+	0.252561i	$0.918727\pi$
$84$	−2.31008	+	7.44394i	−0.252050	+	0.812200i
$85$	−4.31917	+	1.73170i	−0.468480	+	0.187829i
$86$	−4.96328	−	2.20980i	−0.535204	−	0.238288i
$87$	−3.39345	+	17.0745i	−0.363816	+	1.83058i
$88$	−0.225763	+	0.391033i	−0.0240664	+	0.0416842i
$89$	5.08346	−	3.69335i	0.538846	−	0.391495i	−0.284810	−	0.958584i	$-0.591931\pi$
$89$	5.08346	−	3.69335i	0.538846	−	0.391495i	0.823656	+	0.567089i	$0.191931\pi$
$90$	1.46722	−	6.54578i	0.154659	−	0.689986i
$91$	19.6423	−	6.38216i	2.05907	−	0.669032i
$92$			7.23868i			0.754685i
$93$	−0.671632	−	9.62023i	−0.0696450	−	0.997572i
$94$	−0.714374			−0.0736820
$95$	1.21189	−	4.80611i	0.124338	−	0.493096i
$96$	1.51134	+	0.846071i	0.154251	+	0.0863518i
$97$	−1.41491	−	1.94746i	−0.143662	−	0.197734i	0.731122	−	0.682247i	$-0.238997\pi$
$97$	−1.41491	−	1.94746i	−0.143662	−	0.197734i	−0.874784	+	0.484512i	$0.838997\pi$
$98$	−6.62478	+	11.4745i	−0.669204	+	1.15909i
$99$	−1.07439	+	0.824964i	−0.107980	+	0.0829120i
$100$	0.147893	+	4.99781i	0.0147893	+	0.499781i
$101$	7.38931	−	10.1705i	0.735263	−	1.01200i	−0.263614	−	0.964628i	$-0.584914\pi$
$101$	7.38931	−	10.1705i	0.735263	−	1.01200i	0.998877	−	0.0473749i	$-0.0150856\pi$
$102$	1.06833	−	3.44255i	0.105780	−	0.340863i
$103$	−0.145731	+	0.685610i	−0.0143593	+	0.0675552i	−0.984744	−	0.174010i	$-0.944327\pi$
$103$	−0.145731	+	0.685610i	−0.0143593	+	0.0675552i	0.970385	+	0.241565i	$0.0776608\pi$
$104$	−0.479747	−	4.56448i	−0.0470430	−	0.447584i
$105$	7.47371	−	15.7444i	0.729360	−	1.53650i
$106$	7.66812	−	6.90441i	0.744794	−	0.670615i
$107$	1.45749	−	13.8671i	0.140901	−	1.34059i	−0.664247	−	0.747513i	$-0.731248\pi$
$107$	1.45749	−	13.8671i	0.140901	−	1.34059i	0.805149	−	0.593073i	$-0.202085\pi$
$108$	3.21890	+	4.07906i	0.309738	+	0.392508i
$109$	−1.56869	+	4.82794i	−0.150253	+	0.462433i	−0.997649	−	0.0685294i	$-0.978169\pi$
$109$	−1.56869	+	4.82794i	−0.150253	+	0.462433i	0.847396	+	0.530962i	$0.178169\pi$
$110$	0.623713	−	0.793952i	0.0594687	−	0.0757003i
$111$	0.124708	+	9.40965i	0.0118368	+	0.893124i
$112$	3.34412	+	3.01105i	0.315989	+	0.284518i
$113$	0.888368	+	8.45226i	0.0835706	+	0.795121i	0.953388	+	0.301747i	$0.0975699\pi$
$113$	0.888368	+	8.45226i	0.0835706	+	0.795121i	−0.869817	+	0.493374i	$0.835763\pi$
$114$	2.29766	+	3.07590i	0.215196	+	0.288084i
$115$	2.29534	−	16.0226i	0.214041	−	1.49412i
$116$	8.13126	+	5.90771i	0.754969	+	0.548517i
$117$	3.90628	−	13.2031i	0.361136	−	1.22063i
$118$	−4.30197	+	2.48374i	−0.396028	+	0.228647i
$119$	4.68233	−	8.11004i	0.429229	−	0.743446i
$120$	−3.07703	−	2.35199i	−0.280893	−	0.214706i
$121$	10.5602	−	2.24464i	0.960018	−	0.204058i
$122$	−14.0151	+	4.55378i	−1.26887	+	0.412279i
$123$	−1.92832	+	2.19955i	−0.173871	+	0.198326i
$124$	−5.20607	−	1.97404i	−0.467519	−	0.177274i
$125$	1.25742	−	11.1094i	0.112467	−	0.993655i
$126$	5.81580	+	12.1829i	0.518112	+	1.08534i
$127$	−15.3046	+	3.25309i	−1.35806	+	0.288665i	−0.828681	−	0.559721i	$-0.810908\pi$
$127$	−15.3046	+	3.25309i	−1.35806	+	0.288665i	−0.529379	+	0.848385i	$0.677575\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−8.91032	+	3.02626i	−0.784510	+	0.266447i
$130$	−0.385463	+	10.2555i	−0.0338073	+	0.899465i
$131$	−3.78758	+	8.50705i	−0.330923	+	0.743264i	0.669077	+	0.743193i	$0.266689\pi$
$131$	−3.78758	+	8.50705i	−0.330923	+	0.743264i	−1.00000		7.14659e-5i	$0.999977\pi$
$132$	0.172724	+	0.762754i	0.0150337	+	0.0663892i
$133$	4.05709	+	9.11238i	0.351795	+	0.790144i
$134$	−0.439319	+	2.06683i	−0.0379514	+	0.178547i
$135$	−5.83149	−	10.0496i	−0.501895	−	0.864929i
$136$	−1.54653	−	1.39250i	−0.132614	−	0.119406i
$137$	7.03876	−	6.33773i	0.601362	−	0.541469i	−0.311233	−	0.950334i	$-0.600742\pi$
$137$	7.03876	−	6.33773i	0.601362	−	0.541469i	0.912595	+	0.408865i	$0.134075\pi$
$138$	8.51214	+	9.20538i	0.724601	+	0.783614i
$139$	15.8589	+	5.15285i	1.34513	+	0.437059i	0.891052	−	0.453902i	$-0.149968\pi$
$139$	15.8589	+	5.15285i	1.34513	+	0.437059i	0.454079	+	0.890961i	$0.349968\pi$
$140$	−6.44731	−	7.72528i	−0.544898	−	0.652905i
$141$	−0.908464	+	0.840049i	−0.0765065	+	0.0707449i
$142$	6.79789	−	6.12085i	0.570466	−	0.513650i
$143$	1.38666	−	1.54004i	0.115959	−	0.128785i
$144$	2.91688	−	0.701284i	0.243074	−	0.0584403i
$145$	−16.1250	−	15.6549i	−1.33911	−	1.30007i
$146$	−0.630206	+	0.280586i	−0.0521562	+	0.0232214i
$147$	5.06840	+	22.3822i	0.418035	+	1.84605i
$148$	4.96342	+	2.20986i	0.407991	+	0.181649i
$149$	4.34697	−	2.50972i	0.356118	−	0.205605i	−0.311259	−	0.950325i	$-0.600751\pi$
$149$	4.34697	−	2.50972i	0.356118	−	0.205605i	0.667376	+	0.744721i	$0.267417\pi$
$150$	6.06512	+	6.18177i	0.495215	+	0.504739i
$151$	−1.51468	−	2.08478i	−0.123263	−	0.169657i	0.742926	−	0.669374i	$-0.233437\pi$
$151$	−1.51468	−	2.08478i	−0.123263	−	0.169657i	−0.866189	+	0.499717i	$0.833437\pi$
$152$	2.16820	−	0.460864i	0.175864	−	0.0373810i
$153$	−2.68959	−	5.63413i	−0.217440	−	0.455492i
$154$			2.03184i			0.163731i
$155$	10.8975	+	6.02028i	0.875311	+	0.483561i
$156$	−5.97758	−	5.24048i	−0.478589	−	0.419574i
$157$	−1.32762	+	0.431369i	−0.105955	+	0.0344270i	−0.361515	−	0.932366i	$-0.617740\pi$
$157$	−1.32762	+	0.431369i	−0.105955	+	0.0344270i	0.255559	+	0.966793i	$0.417740\pi$
$158$	3.07898	+	14.4855i	0.244950	+	1.15240i
$159$	1.63244	−	17.7974i	0.129461	−	1.41143i
$160$	−1.97712	+	1.04451i	−0.156305	+	0.0825759i
$161$	16.2869	+	28.2097i	1.28358	+	2.22323i
$162$	8.89011	+	1.40213i	0.698473	+	0.110162i
$163$	4.04136	−	5.56245i	0.316543	−	0.435685i	−0.620864	−	0.783918i	$-0.713218\pi$
$163$	4.04136	−	5.56245i	0.316543	−	0.435685i	0.937408	+	0.348233i	$0.113218\pi$
$164$	0.686908	+	1.54282i	0.0536385	+	0.120474i
$165$	−0.140455	−	1.74310i	−0.0109344	−	0.135700i
$166$	8.12209	−	0.853666i	0.630396	−	0.0662573i
$167$	13.3870	+	12.0537i	1.03591	+	0.932741i	0.997784	−	0.0665317i	$-0.0211934\pi$
$167$	13.3870	+	12.0537i	1.03591	+	0.932741i	0.0381296	+	0.999273i	$0.487860\pi$
$168$	7.79346	−	0.103289i	0.601278	−	0.00796888i
$169$	−0.842988	+	8.02049i	−0.0648452	+	0.616961i
$170$	2.98164	+	3.57265i	0.228682	+	0.274010i
$171$	6.53894	+	1.20972i	0.500046	+	0.0925099i
$172$	−0.567902	+	5.40323i	−0.0433021	+	0.411992i
$173$	−7.25780	−	8.06061i	−0.551801	−	0.612837i	0.401131	−	0.916021i	$-0.368617\pi$
$173$	−7.25780	−	8.06061i	−0.551801	−	0.612837i	−0.952932	+	0.303184i	$0.901950\pi$
$174$	17.2875	−	2.04896i	1.31056	−	0.155331i
$175$	11.8213	+	19.1441i	0.893607	+	1.44716i
$176$	0.441659	+	0.0938775i	0.0332913	+	0.00707628i
$177$	−2.55009	+	8.21734i	−0.191676	+	0.617653i
$178$	−5.08346	−	3.69335i	−0.381022	−	0.276828i
$179$	−12.5864	−	5.60384i	−0.940755	−	0.418851i	−0.121700	−	0.992567i	$-0.538835\pi$
$179$	−12.5864	−	5.60384i	−0.940755	−	0.418851i	−0.819054	+	0.573716i	$0.805501\pi$
$180$	−6.67880	+	0.627347i	−0.497809	+	0.0467597i
$181$	−15.1056	−	8.72124i	−1.12279	−	0.648244i	−0.180680	−	0.983542i	$-0.557830\pi$
$181$	−15.1056	−	8.72124i	−1.12279	−	0.648244i	−0.942112	+	0.335297i	$0.891163\pi$
$182$	−12.1396	−	16.7087i	−0.899846	−	1.23853i
$183$	−12.4680	+	22.2717i	−0.921660	+	1.64637i
$184$	6.88439	−	2.23688i	0.507524	−	0.164905i
$185$	−10.2857	−	6.46532i	−0.756216	−	0.475340i
$186$	−8.94184	+	3.61158i	−0.655648	+	0.264814i
$187$		−	0.939652i		−	0.0687142i
$188$	0.220754	+	0.679410i	0.0161001	+	0.0495510i
$189$	21.7220	+	8.65395i	1.58005	+	0.629482i
$190$	−4.94537	+	0.332589i	−0.358775	+	0.0241285i
$191$	9.23065	+	5.32932i	0.667906	+	0.385616i	0.795283	−	0.606239i	$-0.207322\pi$
$191$	9.23065	+	5.32932i	0.667906	+	0.385616i	−0.127377	+	0.991854i	$0.540656\pi$
$192$	0.337630	−	1.69882i	0.0243664	−	0.122602i
$193$	−11.2190	+	25.1983i	−0.807561	+	1.81381i	−0.293838	+	0.955855i	$0.594933\pi$
$193$	−11.2190	+	25.1983i	−0.807561	+	1.81381i	−0.513723	+	0.857956i	$0.671734\pi$
$194$	−1.41491	+	1.94746i	−0.101585	+	0.139819i
$195$	11.5695	+	13.4951i	0.828507	+	0.966403i
$196$	12.9600	+	2.75474i	0.925716	+	0.196767i
$197$	9.08984	−	0.955381i	0.647625	−	0.0680681i	0.224980	−	0.974363i	$-0.427768\pi$
$197$	9.08984	−	0.955381i	0.647625	−	0.0680681i	0.422645	+	0.906295i	$0.361102\pi$
$198$	1.11659	+	0.766878i	0.0793527	+	0.0544997i
$199$	1.44574	−	1.30175i	0.102486	−	0.0922784i	−0.616295	−	0.787515i	$-0.711367\pi$
$199$	1.44574	−	1.30175i	0.102486	−	0.0922784i	0.718781	+	0.695237i	$0.244701\pi$
$200$	4.70750	−	1.68506i	0.332871	−	0.119152i
$201$	1.87176	+	3.14498i	0.132024	+	0.221830i
$202$	−11.9561	−	3.88479i	−0.841232	−	0.273333i
$203$	44.9803	+	4.72762i	3.15700	+	0.331814i
$204$	−3.60419	+	0.0477671i	−0.252343	+	0.00334437i
$205$	−1.03123	−	3.63280i	−0.0720244	−	0.253726i
$206$	0.697088	−	0.0732669i	0.0485684	−	0.00510474i
$207$	21.6497	+	1.69679i	1.50475	+	0.117935i
$208$	−4.19283	+	1.86677i	−0.290721	+	0.129437i
$209$	0.809719	+	0.588295i	0.0560094	+	0.0406932i
$210$	−17.2833	−	2.24263i	−1.19266	−	0.154756i
$211$	−5.73788	−	9.93829i	−0.395012	−	0.684180i	0.598091	−	0.801428i	$-0.295926\pi$
$211$	−5.73788	−	9.93829i	−0.395012	−	0.684180i	−0.993103	+	0.117248i	$0.962593\pi$
$212$	−8.93606	−	5.15924i	−0.613731	−	0.354338i
$213$	1.44718	−	15.7776i	0.0991589	−	1.08107i
$214$	−13.6388	+	2.89902i	−0.932330	+	0.198173i
$215$	2.97036	−	11.7798i	0.202577	−	0.803376i
$216$	2.88472	−	4.32185i	0.196280	−	0.294065i
$217$	−24.7300	+	4.02057i	−1.67878	+	0.272934i
$218$	5.07639			0.343817
$219$	−0.471481	+	1.09789i	−0.0318597	+	0.0741887i
$220$	−0.947831	−	0.347842i	−0.0639027	−	0.0234515i
$221$	5.61411	+	7.72716i	0.377646	+	0.519785i
$222$	8.91057	−	3.02634i	0.598038	−	0.203115i
$223$	−0.399608	−	0.692141i	−0.0267597	−	0.0463492i	0.852335	−	0.522996i	$-0.175186\pi$
$223$	−0.399608	−	0.692141i	−0.0267597	−	0.0463492i	−0.879095	+	0.476646i	$0.841852\pi$
$224$	1.83029	−	4.11091i	0.122292	−	0.274672i
$225$	14.9823	+	0.729190i	0.998818	+	0.0486127i
$226$	7.76405	−	3.45678i	0.516457	−	0.229941i
$227$	−13.8466	−	2.94318i	−0.919029	−	0.195346i	−0.275973	−	0.961165i	$-0.589000\pi$
$227$	−13.8466	−	2.94318i	−0.919029	−	0.195346i	−0.643055	+	0.765820i	$0.722334\pi$
$228$	2.21534	−	3.13571i	0.146714	−	0.207668i
$229$	−1.48414	−	1.33633i	−0.0980747	−	0.0883069i	0.618635	−	0.785679i	$-0.287686\pi$
$229$	−1.48414	−	1.33633i	−0.0980747	−	0.0883069i	−0.716710	+	0.697372i	$0.754353\pi$
$230$	−15.9477	+	2.76826i	−1.05156	+	0.182534i
$231$	2.38929	+	2.58388i	0.157204	+	0.170007i
$232$	3.10587	−	9.55887i	0.203910	−	0.627571i
$233$	−3.59280	+	11.0575i	−0.235372	+	0.724401i	0.761700	+	0.647930i	$0.224365\pi$
$233$	−3.59280	+	11.0575i	−0.235372	+	0.724401i	−0.997072	+	0.0764705i	$0.975635\pi$
$234$	−13.7640	+	0.364900i	−0.899784	+	0.0238543i
$235$	−0.273195	−	1.57385i	−0.0178213	−	0.102667i
$236$	3.69156	+	3.32390i	0.240300	+	0.216367i
$237$	20.9493	+	14.8004i	1.36080	+	0.961389i
$238$	−9.16003	−	1.94702i	−0.593756	−	0.126207i
$239$	8.64104	−	3.84724i	0.558942	−	0.248857i	−0.107765	−	0.994176i	$-0.534370\pi$
$239$	8.64104	−	3.84724i	0.558942	−	0.248857i	0.666708	+	0.745319i	$0.267703\pi$
$240$	−1.28602	+	3.65324i	−0.0830123	+	0.235816i
$241$	1.57306	−	3.53315i	0.101330	−	0.227590i	−0.855765	−	0.517364i	$-0.826913\pi$
$241$	1.57306	−	3.53315i	0.101330	−	0.227590i	0.957095	+	0.289774i	$0.0935800\pi$
$242$	−5.39806	−	9.34972i	−0.347001	−	0.601023i
$243$	12.9543	−	8.67101i	0.831018	−	0.556246i
$244$	8.66179	+	11.9219i	0.554515	+	0.763224i
$245$	−27.8131	−	10.2071i	−1.77691	−	0.652106i
$246$	2.68778	+	1.15424i	0.171366	+	0.0735918i
$247$	−10.1735			−0.647326
$248$	−0.268656	+	5.56128i	−0.0170597	+	0.353142i
$249$	9.32496	−	10.6366i	0.590945	−	0.674065i
$250$	−10.9542	+	2.23712i	−0.692807	+	0.141488i
$251$	−13.3937	+	2.84692i	−0.845402	+	0.179696i	−0.610197	−	0.792250i	$-0.708910\pi$
$251$	−13.3937	+	2.84692i	−0.845402	+	0.179696i	−0.235205	+	0.971946i	$0.575576\pi$
$252$	9.78943	−	9.29587i	0.616676	−	0.585585i
$253$	2.83056	+	1.63423i	0.177956	+	0.102743i
$254$	7.82324	+	13.5502i	0.490874	+	0.850218i
$255$	7.99291	+	1.03713i	0.500535	+	0.0649478i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	7.46338	−	3.32291i	0.465553	−	0.207277i	−0.160535	−	0.987030i	$-0.551322\pi$
$257$	7.46338	−	3.32291i	0.465553	−	0.207277i	0.626088	+	0.779753i	$0.284655\pi$
$258$	5.63159	+	7.53905i	0.350607	+	0.469361i
$259$	24.3149	−	2.55560i	1.51086	−	0.158797i
$260$	9.87265	−	2.80252i	0.612276	−	0.173805i
$261$	19.5749	−	22.9344i	1.21166	−	1.41960i
$262$	9.26111	+	0.973382i	0.572153	+	0.0601357i
$263$	1.72157	+	0.559371i	0.106156	+	0.0344923i	0.361614	−	0.932328i	$-0.382226\pi$
$263$	1.72157	+	0.559371i	0.106156	+	0.0344923i	−0.255457	+	0.966820i	$0.582226\pi$
$264$	0.672047	−	0.399974i	0.0413616	−	0.0246167i
$265$	18.1437	+	14.2534i	1.11456	+	0.875579i
$266$	7.41268	−	6.67441i	0.454501	−	0.409234i
$267$	−10.8077	+	1.28096i	−0.661421	+	0.0783933i
$268$	2.10143	−	0.220870i	0.128365	−	0.0134918i
$269$	−15.4841	−	3.29125i	−0.944083	−	0.200671i	−0.289943	−	0.957044i	$-0.593636\pi$
$269$	−15.4841	−	3.29125i	−0.944083	−	0.200671i	−0.654141	+	0.756373i	$0.726970\pi$
$270$	−7.75568	+	8.65156i	−0.471995	+	0.526517i
$271$	13.0354	−	17.9416i	0.791842	−	1.08988i	−0.202035	−	0.979378i	$-0.564755\pi$
$271$	13.0354	−	17.9416i	0.791842	−	1.08988i	0.993876	−	0.110498i	$-0.0352446\pi$
$272$	−0.846443	+	1.90114i	−0.0513232	+	0.115274i
$273$	−35.0860	−	6.97311i	−2.12350	−	0.422032i
$274$	−8.20264	−	4.73579i	−0.495539	−	0.286100i
$275$	1.98770	+	1.07049i	0.119863	+	0.0645529i
$276$	6.12444	−	10.9401i	0.368648	−	0.658519i
$277$	6.05729	+	18.6424i	0.363947	+	1.12011i	0.950638	+	0.310303i	$0.100431\pi$
$277$	6.05729	+	18.6424i	0.363947	+	1.12011i	−0.586690	+	0.809812i	$0.699569\pi$
$278$		−	16.6750i		−	1.00010i
$279$	−7.12434	+	15.1077i	−0.426523	+	0.904477i
$280$	−5.35485	+	8.51900i	−0.320013	+	0.509108i
$281$	21.9034	−	7.11684i	1.30665	−	0.424555i	0.428757	−	0.903420i	$-0.358952\pi$
$281$	21.9034	−	7.11684i	1.30665	−	0.424555i	0.877888	+	0.478865i	$0.158952\pi$
$282$	1.07967	+	0.604411i	0.0642931	+	0.0359922i
$283$	−16.8925	−	23.2505i	−1.00415	−	1.38210i	−0.922742	−	0.385418i	$-0.874057\pi$
$283$	−16.8925	−	23.2505i	−1.00415	−	1.38210i	−0.0814117	−	0.996681i	$-0.525943\pi$
$284$	−7.92194	−	4.57373i	−0.470081	−	0.271401i
$285$	−5.89790	+	6.23834i	−0.349361	+	0.369527i
$286$	−1.89317	−	0.842894i	−0.111946	−	0.0498414i
$287$	6.14824	+	4.46696i	0.362919	+	0.263676i
$288$	−1.56833	−	2.55741i	−0.0924145	−	0.150697i
$289$	−12.3923	−	2.63407i	−0.728961	−	0.154945i
$290$	−9.90580	+	20.1734i	−0.581688	+	1.18462i
$291$	0.490730	+	4.14040i	0.0287671	+	0.242714i
$292$	0.461597	+	0.512656i	0.0270129	+	0.0300009i
$293$	1.04129	−	9.90723i	0.0608329	−	0.578786i	−0.921069	−	0.389398i	$-0.872683\pi$
$293$	1.04129	−	9.90723i	0.0608329	−	0.578786i	0.981902	−	0.189388i	$-0.0606504\pi$
$294$	19.7205	−	11.7368i	1.15012	−	0.684505i
$295$	−7.11717	−	8.52792i	−0.414378	−	0.496514i
$296$	0.567918	−	5.40338i	0.0330095	−	0.314065i
$297$	2.32175	−	0.337794i	0.134722	−	0.0196008i
$298$	−3.73018	−	3.35867i	−0.216083	−	0.194562i
$299$	−33.0408	+	3.47273i	−1.91080	+	0.200833i
$300$	4.00499	−	7.67855i	0.231228	−	0.443321i
$301$	9.94397	+	22.3345i	0.573161	+	1.28734i
$302$	−1.51468	+	2.08478i	−0.0871602	+	0.119966i
$303$	−19.7728	+	9.11926i	−1.13592	+	0.523888i
$304$	−1.10832	−	1.91966i	−0.0635664	−	0.110100i
$305$	−15.3923	−	29.1355i	−0.881358	−	1.66829i
$306$	−4.52725	+	4.29899i	−0.258805	+	0.245757i
$307$	4.08394	+	19.2134i	0.233083	+	1.09657i	0.926577	+	0.376106i	$0.122737\pi$
$307$	4.08394	+	19.2134i	0.233083	+	1.09657i	−0.693494	+	0.720462i	$0.743930\pi$
$308$	1.93240	−	0.627874i	0.110109	−	0.0357765i
$309$	0.800325	−	0.912895i	0.0455289	−	0.0519328i
$310$	2.35811	−	12.2245i	0.133931	−	0.694307i
$311$		−	30.6646i		−	1.73883i	−0.494080	−	0.869416i	$-0.664495\pi$
$311$		−	30.6646i		−	1.73883i	0.494080	−	0.869416i	$-0.335505\pi$
$312$	−3.13682	+	7.30441i	−0.177587	+	0.413531i
$313$	0.146206	−	0.0310771i	0.00826406	−	0.00175658i	−0.203778	−	0.979017i	$-0.565322\pi$
$313$	0.146206	−	0.0310771i	0.00826406	−	0.00175658i	0.212042	+	0.977261i	$0.431989\pi$
$314$	0.820513	+	1.12934i	0.0463042	+	0.0637323i
$315$	−24.6163	+	17.4720i	−1.38697	+	0.984434i
$316$	12.8250	−	7.40453i	0.721464	−	0.416537i
$317$	16.0680	+	7.15392i	0.902466	+	0.401804i	0.804890	−	0.593424i	$-0.202224\pi$
$317$	16.0680	+	7.15392i	0.902466	+	0.401804i	0.0975765	+	0.995228i	$0.468891\pi$
$318$	−17.4308	+	3.94716i	−0.977471	+	0.221346i
$319$	4.14584	−	1.84585i	0.232123	−	0.103348i
$320$	1.60435	+	1.55758i	0.0896860	+	0.0870713i
$321$	−13.9354	+	19.7249i	−0.777796	+	1.10093i
$322$	21.7961	−	24.2070i	1.21465	−	1.34900i
$323$	−3.42809	+	3.08667i	−0.190744	+	0.171747i
$324$	−1.41369	−	8.88828i	−0.0785382	−	0.493793i
$325$	−22.7415	+	3.07274i	−1.26147	+	0.170445i
$326$	−6.53905	−	2.12467i	−0.362165	−	0.117674i
$327$	6.45561	−	5.96945i	0.356996	−	0.330112i
$328$	1.25504	−	1.13005i	0.0692982	−	0.0623964i
$329$	2.38895	+	2.15102i	0.131707	+	0.118589i
$330$	−1.61439	+	0.672229i	−0.0888690	+	0.0370050i
$331$	−6.79801	+	31.9821i	−0.373652	+	1.75790i	0.242386	+	0.970180i	$0.422070\pi$
$331$	−6.79801	+	31.9821i	−0.373652	+	1.75790i	−0.616038	+	0.787716i	$0.711263\pi$
$332$	−3.32175	−	7.46077i	−0.182305	−	0.409463i
$333$	7.77275	−	14.3267i	0.425944	−	0.785100i
$334$	7.32692	−	16.4565i	0.400911	−	0.900462i
$335$	−4.72150	−	0.177463i	−0.257963	−	0.00969581i
$336$	−2.50654	−	7.38010i	−0.136743	−	0.402618i
$337$	23.3000	−	16.9284i	1.26923	−	0.922149i	0.270058	−	0.962844i	$-0.412957\pi$
$337$	23.3000	−	16.9284i	1.26923	−	0.922149i	0.999172	+	0.0406949i	$0.0129572\pi$
$338$	7.88844	−	1.67674i	0.429074	−	0.0912026i
$339$	5.80858	−	13.5259i	0.315479	−	0.734626i
$340$	2.47642	−	3.93972i	0.134303	−	0.213661i
$341$	−1.94725	+	1.59008i	−0.105450	+	0.0861077i
$342$	−0.870129	−	6.59273i	−0.0470512	−	0.356494i
$343$	26.7463	−	8.69039i	1.44416	−	0.469237i
$344$	5.31426	−	1.12958i	0.286526	−	0.0609030i
$345$	−17.0253	+	22.2737i	−0.916612	+	1.19917i
$346$	−5.42331	+	9.39345i	−0.291559	+	0.504995i
$347$	11.1193	−	6.41973i	0.596915	−	0.344629i	−0.170912	−	0.985286i	$-0.554671\pi$
$347$	11.1193	−	6.41973i	0.596915	−	0.344629i	0.767827	+	0.640657i	$0.221338\pi$
$348$	−7.29080	−	15.8082i	−0.390828	−	0.847409i
$349$	−14.2426	−	10.3479i	−0.762389	−	0.553908i	0.137253	−	0.990536i	$-0.456173\pi$
$349$	−14.2426	−	10.3479i	−0.762389	−	0.553908i	−0.899642	+	0.436628i	$0.856173\pi$
$350$	14.5541	−	17.1586i	0.777950	−	0.917164i
$351$	−17.0745	+	16.6495i	−0.911372	+	0.888685i
$352$	−0.0471973	−	0.449052i	−0.00251562	−	0.0239346i
$353$	−6.67577	−	6.01089i	−0.355315	−	0.319927i	0.472071	−	0.881561i	$-0.343507\pi$
$353$	−6.67577	−	6.01089i	−0.355315	−	0.319927i	−0.827386	+	0.561633i	$0.810173\pi$
$354$	8.60318	−	0.114020i	0.457254	−	0.00606009i
$355$	16.0847	+	12.6358i	0.853686	+	0.670640i
$356$	−1.94171	+	5.97597i	−0.102910	+	0.316726i
$357$	−13.9383	+	8.29548i	−0.737693	+	0.439043i
$358$	−1.44015	+	13.7021i	−0.0761142	+	0.724178i
$359$	2.54375	−	2.29040i	0.134254	−	0.120883i	−0.599268	−	0.800548i	$-0.704542\pi$
$359$	2.54375	−	2.29040i	0.134254	−	0.120883i	0.733522	+	0.679666i	$0.237875\pi$
$360$	2.66051	+	6.15806i	0.140221	+	0.324558i
$361$	1.47244	+	14.0094i	0.0774970	+	0.737335i
$362$	−3.62649	+	17.0613i	−0.190604	+	0.896723i
$363$	−17.8592	−	5.54226i	−0.937367	−	0.290893i
$364$	−12.1396	+	16.7087i	−0.636287	+	0.875774i
$365$	−0.859172	−	1.28112i	−0.0449711	−	0.0670567i
$366$	25.0344	+	4.97543i	1.30857	+	0.260070i
$367$	−3.27777	+	5.67727i	−0.171098	+	0.296351i	−0.938804	−	0.344451i	$-0.888065\pi$
$367$	−3.27777	+	5.67727i	−0.171098	+	0.296351i	0.767706	+	0.640803i	$0.221398\pi$
$368$	−4.25479	−	5.85622i	−0.221796	−	0.305276i
$369$	4.77533	−	1.69278i	0.248594	−	0.0881225i
$370$	−2.97044	+	11.7801i	−0.154426	+	0.612420i
$371$	−46.4326			−2.41066
$372$	6.19799	+	7.38816i	0.321351	+	0.383058i
$373$			13.6890i			0.708789i	0.935096	+	0.354395i	$0.115313\pi$
$373$			13.6890i			0.708789i	−0.935096	+	0.354395i	$0.884687\pi$
$374$	−0.893662	+	0.290369i	−0.0462102	+	0.0150146i
$375$	−11.2997	+	15.7263i	−0.583516	+	0.812102i
$376$	0.577940	−	0.419898i	0.0298050	−	0.0216546i
$377$	−23.0647	+	39.9492i	−1.18789	+	2.05749i
$378$	1.51791	−	23.3331i	0.0780729	−	1.20013i
$379$	−5.43122	−	2.41813i	−0.278983	−	0.124211i	0.262476	−	0.964939i	$-0.415461\pi$
$379$	−5.43122	−	2.41813i	−0.278983	−	0.124211i	−0.541459	+	0.840727i	$0.682128\pi$
$380$	1.84452	+	4.60056i	0.0946216	+	0.236003i
$381$	25.8828	+	8.03222i	1.32602	+	0.411503i
$382$	2.21605	−	10.4257i	0.113383	−	0.533426i
$383$	−25.7202	+	2.70330i	−1.31424	+	0.138132i	−0.735580	−	0.677438i	$-0.763090\pi$
$383$	−25.7202	+	2.70330i	−1.31424	+	0.138132i	−0.578659	+	0.815570i	$0.696424\pi$
$384$	−1.72001	+	0.203860i	−0.0877740	+	0.0104032i
$385$	−4.47640	+	0.777030i	−0.228139	+	0.0396011i
$386$	27.4318	+	2.88320i	1.39624	+	0.146751i
$387$	16.0270	+	2.96504i	0.814698	+	0.150722i
$388$	2.28937	+	0.743863i	0.116225	+	0.0377639i
$389$	−2.45593	+	23.3666i	−0.124520	+	1.18473i	0.736599	+	0.676330i	$0.236431\pi$
$389$	−2.45593	+	23.3666i	−0.124520	+	1.18473i	−0.861119	+	0.508403i	$0.830236\pi$
$390$	9.25943	−	15.1734i	0.468869	−	0.768337i
$391$	−10.0799	+	11.1948i	−0.509761	+	0.566147i
$392$	−1.38496	−	13.1770i	−0.0699508	−	0.665538i
$393$	12.9219	−	9.65252i	0.651824	−	0.486905i
$394$	−3.71754	−	8.34973i	−0.187287	−	0.420653i
$395$	−30.7357	+	12.3230i	−1.54648	+	0.620037i
$396$	0.384299	−	1.29892i	0.0193117	−	0.0652732i
$397$	25.8836	−	14.9439i	1.29906	−	0.750012i	0.318818	−	0.947816i	$-0.396714\pi$
$397$	25.8836	−	14.9439i	1.29906	−	0.750012i	0.980242	+	0.197803i	$0.0633808\pi$
$398$	−1.68479	−	0.972715i	−0.0844510	−	0.0487578i
$399$	1.57806	−	17.2045i	0.0790017	−	0.861305i
$400$	−3.05729	−	3.95639i	−0.152864	−	0.197819i
$401$	2.53125	+	7.79040i	0.126405	+	0.389034i	0.994154	−	0.107968i	$-0.0344343\pi$
$401$	2.53125	+	7.79040i	0.126405	+	0.389034i	−0.867750	+	0.497002i	$0.834434\pi$
$402$	2.41265	−	2.75200i	0.120332	−	0.137257i
$403$	6.51286	−	24.7101i	0.324429	−	1.23090i
$404$			12.5714i			0.625452i
$405$	0.310740	+	20.1222i	0.0154408	+	0.999881i
$406$	−9.40344	−	44.2397i	−0.466685	−	2.19558i
$407$	1.98468	−	1.44196i	0.0983770	−	0.0714751i
$408$	1.15918	+	3.41302i	0.0573881	+	0.168970i
$409$	−32.7198	+	18.8908i	−1.61789	+	0.934090i	−0.630426	+	0.776249i	$0.717120\pi$
$409$	−32.7198	+	18.8908i	−1.61789	+	0.934090i	−0.987465	+	0.157841i	$0.949547\pi$
$410$	−3.13633	+	2.10336i	−0.154892	+	0.103877i
$411$	−16.0002	+	3.62320i	−0.789230	+	0.178719i
$412$	−0.285093	−	0.640329i	−0.0140455	−	0.0315467i
$413$	21.8650	+	4.64754i	1.07590	+	0.228691i
$414$	−5.07637	−	21.1144i	−0.249490	−	1.03772i
$415$	4.98683	+	17.5675i	0.244794	+	0.862354i
$416$	3.07106	+	3.41076i	0.150571	+	0.167226i
$417$	−19.6085	−	21.2055i	−0.960233	−	1.03844i
$418$	0.309285	−	0.951882i	0.0151276	−	0.0465581i
$419$	17.5633	+	5.70665i	0.858022	+	0.278788i	0.704802	−	0.709404i	$-0.251036\pi$
$419$	17.5633	+	5.70665i	0.858022	+	0.278788i	0.153220	+	0.988192i	$0.451036\pi$
$420$	3.20798	+	17.1304i	0.156533	+	0.835880i
$421$	−13.0689	−	14.5144i	−0.636937	−	0.707390i	0.335109	−	0.942179i	$-0.391227\pi$
$421$	−13.0689	−	14.5144i	−0.636937	−	0.707390i	−0.972046	+	0.234789i	$0.924560\pi$
$422$	−7.67878	+	8.52815i	−0.373797	+	0.415144i
$423$	2.08374	−	0.500979i	0.101315	−	0.0243584i
$424$	−2.14533	+	10.0930i	−0.104187	+	0.490159i
$425$	−6.73074	+	7.93520i	−0.326489	+	0.384914i
$426$	−15.4526	+	3.49921i	−0.748683	+	0.169537i
$427$	60.5797	+	26.9718i	2.93166	+	1.30526i
$428$	6.97176	+	12.0754i	0.336993	+	0.583688i
$429$	−3.39871	+	1.15432i	−0.164091	+	0.0557313i
$430$	−12.1211	+	0.815177i	−0.584534	+	0.0393113i
$431$	1.19141	+	5.60516i	0.0573884	+	0.269991i	0.997482	−	0.0709265i	$-0.0225956\pi$
$431$	1.19141	+	5.60516i	0.0573884	+	0.269991i	−0.940093	+	0.340918i	$0.889262\pi$
$432$	−5.00175	−	1.40801i	−0.240647	−	0.0677428i
$433$	−3.36145			−0.161541			−0.0807706	−	0.996733i	$-0.525738\pi$
$433$	−3.36145			−0.161541			−0.0807706	+	0.996733i	$0.525738\pi$
$434$	11.4658	+	22.2772i	0.550375	+	1.06934i
$435$	11.1253	+	37.3029i	0.533417	+	1.78854i
$436$	−1.56869	−	4.82794i	−0.0751267	−	0.231216i
$437$	−3.33605	−	15.6949i	−0.159585	−	0.750788i
$438$	1.18985	+	0.109137i	0.0568534	+	0.00521478i
$439$	−16.1032	+	27.8915i	−0.768563	+	1.33119i	0.169780	+	0.985482i	$0.445694\pi$
$439$	−16.1032	+	27.8915i	−0.768563	+	1.33119i	−0.938342	+	0.345707i	$0.887639\pi$
$440$	−0.0379217	+	1.00893i	−0.00180785	+	0.0480988i
$441$	11.2768	−	38.1155i	0.536993	−	1.81502i
$442$	5.61411	−	7.72716i	0.267036	−	0.367543i
$443$	13.2641	−	5.90558i	0.630199	−	0.280583i	−0.0666768	−	0.997775i	$-0.521240\pi$
$443$	13.2641	−	5.90558i	0.630199	−	0.280583i	0.696876	+	0.717192i	$0.254573\pi$
$444$	−5.63174	−	7.53926i	−0.267271	−	0.357798i
$445$	6.19286	−	12.6119i	0.293570	−	0.597863i
$446$	−0.534779	+	0.593933i	−0.0253225	+	0.0281235i
$447$	−8.69318	+	0.115213i	−0.411173	+	0.00544937i
$448$	−4.47530	−	0.470373i	−0.211438	−	0.0222230i
$449$	−5.86584	+	18.0532i	−0.276826	+	0.851982i	0.711905	+	0.702276i	$0.247833\pi$
$449$	−5.86584	+	18.0532i	−0.276826	+	0.851982i	−0.988731	+	0.149706i	$0.952167\pi$
$450$	−3.93627	−	14.4743i	−0.185558	−	0.682326i
$451$	0.758372	+	0.0797081i	0.0357103	+	0.00375331i
$452$	−5.68682	−	6.31585i	−0.267485	−	0.297073i
$453$	0.525334	+	4.43235i	0.0246823	+	0.208250i
$454$	1.47970	+	14.0784i	0.0694455	+	0.660730i
$455$	32.1688	−	33.1348i	1.50810	−	1.55339i
$456$	−3.66682	−	1.13792i	−0.171714	−	0.0532881i
$457$	−18.2831	−	13.2835i	−0.855249	−	0.621375i	0.0713392	−	0.997452i	$-0.477273\pi$
$457$	−18.2831	−	13.2835i	−0.855249	−	0.621375i	−0.926588	+	0.376077i	$0.877273\pi$
$458$	−0.812297	+	1.82445i	−0.0379561	+	0.0852509i
$459$	−0.701977	+	10.7907i	−0.0327655	+	0.503667i
$460$	7.56088	+	14.3117i	0.352528	+	0.667288i
$461$	9.68610	−	7.03736i	0.451127	−	0.327763i	−0.338914	−	0.940817i	$-0.610060\pi$
$461$	9.68610	−	7.03736i	0.451127	−	0.327763i	0.790040	+	0.613055i	$0.210060\pi$
$462$	1.71908	−	3.07082i	0.0799790	−	0.142867i
$463$	−0.521101	−	1.60379i	−0.0242176	−	0.0745342i	0.938217	−	0.346047i	$-0.112476\pi$
$463$	−0.521101	−	1.60379i	−0.0242176	−	0.0745342i	−0.962435	+	0.271513i	$0.912476\pi$
$464$	−10.0508			−0.466596
$465$	−11.3763	−	18.3188i	−0.527565	−	0.849515i
$466$	11.6265			0.538589
$467$	−4.00379	−	12.3224i	−0.185273	−	0.570212i	0.814680	−	0.579911i	$-0.196913\pi$
$467$	−4.00379	−	12.3224i	−0.185273	−	0.570212i	−0.999953	+	0.00969879i	$0.996913\pi$
$468$	4.60036	+	12.9776i	0.212652	+	0.599891i
$469$	7.69248	−	5.58892i	0.355206	−	0.258072i
$470$	−1.41240	+	0.746171i	−0.0651492	+	0.0344183i
$471$	2.37146	+	0.471312i	0.109271	+	0.0217169i
$472$	2.02046	−	4.53802i	0.0929991	−	0.208879i
$473$	1.98463	+	1.44192i	0.0912532	+	0.0662994i
$474$	7.60233	−	24.4975i	0.349186	−	1.12521i
$475$	−2.62397	−	10.7681i	−0.120396	−	0.494073i
$476$	0.978874	+	9.31337i	0.0448666	+	0.426878i
$477$	−17.5251	+	25.5169i	−0.802417	+	1.16834i
$478$	−6.32917	−	7.02925i	−0.289489	−	0.321511i
$479$	−26.0040	−	2.73313i	−1.18815	−	0.124880i	−0.510247	−	0.860028i	$-0.670446\pi$
$479$	−26.0040	−	2.73313i	−1.18815	−	0.124880i	−0.677906	+	0.735148i	$0.737113\pi$
$480$	3.87184	+	0.0941659i	0.176724	+	0.00429807i
$481$	−7.70567	+	23.7156i	−0.351348	+	1.08134i
$482$	−3.84633	−	0.404266i	−0.175196	−	0.0184138i
$483$	−0.747673	−	56.4144i	−0.0340203	−	2.56694i
$484$	−7.22402	+	8.02308i	−0.328364	+	0.364686i
$485$	−4.83159	−	2.37246i	−0.219391	−	0.107728i
$486$	−12.2497	−	9.64077i	−0.555658	−	0.437314i
$487$	11.1028	−	4.94330i	0.503117	−	0.224002i	−0.139453	−	0.990229i	$-0.544535\pi$
$487$	11.1028	−	4.94330i	0.503117	−	0.224002i	0.642571	+	0.766226i	$0.277868\pi$
$488$	8.66179	−	11.9219i	0.392101	−	0.539681i
$489$	−10.8141	+	4.98750i	−0.489031	+	0.225543i
$490$	−1.11277	+	29.6060i	−0.0502700	+	1.33746i
$491$	−3.83692	+	6.64574i	−0.173158	+	0.299918i	−0.939522	−	0.342488i	$-0.888730\pi$
$491$	−3.83692	+	6.64574i	−0.173158	+	0.299918i	0.766364	+	0.642406i	$0.222064\pi$
$492$	0.267181	−	2.91291i	0.0120455	−	0.131324i
$493$	4.34874	+	20.4592i	0.195858	+	0.921437i
$494$	3.14379	+	9.67560i	0.141446	+	0.435326i
$495$	−1.26251	+	2.75326i	−0.0567457	+	0.123750i
$496$	5.37211	−	1.46302i	0.241215	−	0.0656917i
$497$	−41.1631			−1.84642
$498$	−12.9975	−	5.58168i	−0.582434	−	0.250121i
$499$	8.41694	+	39.5986i	0.376794	+	1.77268i	0.602133	+	0.798396i	$0.294318\pi$
$499$	8.41694	+	39.5986i	0.376794	+	1.77268i	−0.225339	+	0.974280i	$0.572349\pi$
$500$	5.51267	+	9.72679i	0.246534	+	0.434995i
$501$	−10.0340	−	29.5436i	−0.448288	−	1.31991i
$502$	6.84645	+	11.8584i	0.305572	+	0.529267i
$503$	−16.4340	−	7.31690i	−0.732757	−	0.326245i	0.00621466	−	0.999981i	$-0.498022\pi$
$503$	−16.4340	−	7.31690i	−0.732757	−	0.326245i	−0.738972	+	0.673736i	$0.764688\pi$
$504$	−11.8660	−	6.43772i	−0.528553	−	0.286759i
$505$	3.98632	−	27.8265i	0.177389	−	1.23826i
$506$	0.679549	−	3.19703i	0.0302096	−	0.142125i
$507$	8.05995	−	11.4085i	0.357955	−	0.506669i
$508$	10.4695	−	11.6276i	0.464511	−	0.515891i
$509$	13.9460	+	15.4886i	0.618147	+	0.686522i	0.968191	−	0.250211i	$-0.0805001\pi$
$509$	13.9460	+	15.4886i	0.618147	+	0.686522i	−0.350044	+	0.936733i	$0.613833\pi$
$510$	−1.48357	−	7.92220i	−0.0656937	−	0.350801i
$511$	2.95234	+	0.959273i	0.130604	+	0.0424357i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	−8.85909	−	7.36072i	−0.391138	−	0.324984i
$514$	−5.46658	−	6.07126i	−0.241121	−	0.267792i
$515$	0.428000	+	1.50775i	0.0188600	+	0.0664394i
$516$	5.42981	−	7.68565i	0.239034	−	0.338342i
$517$	0.315509	+	0.0670636i	0.0138761	+	0.00294945i
$518$	−9.94424	−	22.3351i	−0.436925	−	0.981350i
$519$	4.14920	+	18.3230i	0.182130	+	0.804290i
$520$	−5.71617	−	8.52342i	−0.250671	−	0.373777i
$521$	14.1352	−	8.16094i	0.619272	−	0.357537i	−0.157313	−	0.987549i	$-0.550283\pi$
$521$	14.1352	−	8.16094i	0.619272	−	0.357537i	0.776586	+	0.630012i	$0.216950\pi$
$522$	−27.8609	−	11.5298i	−1.21944	−	0.504644i
$523$	8.40831	−	6.10900i	0.367670	−	0.267128i	−0.388574	−	0.921417i	$-0.627032\pi$
$523$	8.40831	−	6.10900i	0.367670	−	0.267128i	0.756244	+	0.654290i	$0.227032\pi$
$524$	−1.93610	−	9.10863i	−0.0845789	−	0.397912i
$525$	−1.66882	−	38.9350i	−0.0728331	−	1.69926i
$526$		−	1.81016i		−	0.0789269i
$527$	−5.30249	−	10.3024i	−0.230980	−	0.448778i
$528$	−0.588072	−	0.515556i	−0.0255925	−	0.0224367i
$529$	−9.08464	−	27.9596i	−0.394984	−	1.21564i
$530$	7.94905	−	21.6603i	0.345285	−	0.940862i
$531$	10.8065	−	10.2617i	0.468963	−	0.445319i
$532$	−8.63838	−	4.98737i	−0.374521	−	0.216230i
$533$	−6.71264	+	3.87554i	−0.290757	+	0.167868i
$534$	4.55803	+	9.88290i	0.197245	+	0.427675i
$535$	−11.6027	−	28.9393i	−0.501630	−	1.25116i
$536$	−0.859438	−	1.93033i	−0.0371221	−	0.0833775i
$537$	14.2812	+	19.1184i	0.616279	+	0.825018i
$538$	1.65469	+	15.7433i	0.0713387	+	0.678743i
$539$	4.00308	−	4.44588i	0.172425	−	0.191497i
$540$	10.6248	+	4.70261i	0.457217	+	0.202368i
$541$	1.50974	−	14.3642i	0.0649088	−	0.617566i	−0.912917	−	0.408146i	$-0.866176\pi$
$541$	1.50974	−	14.3642i	0.0649088	−	0.617566i	0.977826	−	0.209421i	$-0.0671578\pi$
$542$	−21.0917	−	6.85309i	−0.905964	−	0.294366i
$543$	15.4510	+	25.9612i	0.663067	+	1.11410i
$544$	2.06966	+	0.217530i	0.0887359	+	0.00932652i
$545$	1.94135	+	11.1839i	0.0831581	+	0.479066i
$546$	4.21034	+	35.5236i	0.180186	+	1.52027i
$547$	−42.2637	+	4.44210i	−1.80707	+	0.189930i	−0.947212	−	0.320608i	$-0.896113\pi$
$547$	−42.2637	+	4.44210i	−1.80707	+	0.189930i	−0.859855	+	0.510539i	$0.829446\pi$
$548$	−1.96925	+	9.26461i	−0.0841223	+	0.395765i
$549$	37.6868	−	23.1114i	1.60844	−	0.986369i
$550$	0.403864	−	2.22121i	0.0172208	−	0.0947128i
$551$	−20.3528	−	9.06166i	−0.867059	−	0.386040i
$552$	−12.2973	−	2.44400i	−0.523406	−	0.104023i
$553$	33.3200	−	57.7120i	1.41691	−	2.45416i
$554$	15.8582	−	11.5217i	0.673750	−	0.489508i
$555$	10.0750	+	18.4737i	0.427662	+	0.784166i
$556$	−15.8589	+	5.15285i	−0.672565	+	0.218530i
$557$			23.7988i			1.00839i	0.863590	+	0.504195i	$0.168211\pi$
$557$			23.7988i			1.00839i	−0.863590	+	0.504195i	$0.831789\pi$
$558$	16.5699	+	2.10710i	0.701458	+	0.0892005i
$559$	−24.9354			−1.05465
$560$	9.75679	+	2.46024i	0.412300	+	0.103964i
$561$	−0.795013	+	1.42014i	−0.0335655	+	0.0599583i
$562$	−13.5370	−	18.6321i	−0.571025	−	0.785948i
$563$	−16.3932	+	28.3938i	−0.690889	+	1.19666i	0.280658	+	0.959808i	$0.409447\pi$
$563$	−16.3932	+	28.3938i	−0.690889	+	1.19666i	−0.971547	+	0.236847i	$0.923886\pi$
$564$	0.241194	−	1.21360i	0.0101561	−	0.0511016i
$565$	10.5849	+	15.7832i	0.445309	+	0.664004i
$566$	−16.8925	+	23.2505i	−0.710044	+	0.977291i
$567$	−25.5076	−	31.4575i	−1.07122	−	1.32109i
$568$	−1.90187	+	8.94757i	−0.0798005	+	0.375432i
$569$	−0.591179	−	5.62469i	−0.0247835	−	0.235799i	−0.999900	−	0.0141084i	$-0.995509\pi$
$569$	−0.591179	−	5.62469i	−0.0247835	−	0.235799i	0.975117	−	0.221691i	$-0.0711577\pi$
$570$	7.75556	+	3.68148i	0.324845	+	0.154200i
$571$	−13.1114	+	11.8055i	−0.548694	+	0.494046i	−0.896211	−	0.443627i	$-0.853691\pi$
$571$	−13.1114	+	11.8055i	−0.548694	+	0.494046i	0.347518	+	0.937673i	$0.387025\pi$
$572$	−0.216618	+	2.06098i	−0.00905725	+	0.0861740i
$573$	−9.44171	−	15.8642i	−0.394433	−	0.662737i
$574$	2.34842	−	7.22769i	0.0980211	−	0.301678i
$575$	−12.1976	−	34.0761i	−0.508677	−	1.42107i
$576$	−1.94760	+	2.28185i	−0.0811501	+	0.0950771i
$577$	8.46495	+	7.62187i	0.352400	+	0.317303i	0.826251	−	0.563303i	$-0.190470\pi$
$577$	8.46495	+	7.62187i	0.352400	+	0.317303i	−0.473850	+	0.880605i	$0.657136\pi$
$578$	1.32429	+	12.5998i	0.0550832	+	0.524082i
$579$	38.2753	−	28.5912i	1.59067	−	1.18821i
$580$	22.2471	+	3.18704i	0.923762	+	0.132335i
$581$	−29.7316	−	21.6013i	−1.23348	−	0.896173i
$582$	3.78611	−	1.74617i	0.156939	−	0.0723809i
$583$	−4.03486	+	2.32953i	−0.167107	+	0.0964792i
$584$	0.344923	−	0.597424i	0.0142730	−	0.0247216i
$585$	−6.06765	−	30.1843i	−0.250866	−	1.24797i
$586$	−9.74411	+	2.07117i	−0.402525	+	0.0855594i
$587$	18.3816	−	5.97254i	0.758689	−	0.246513i	0.0959732	−	0.995384i	$-0.469404\pi$
$587$	18.3816	−	5.97254i	0.758689	−	0.246513i	0.662716	+	0.748871i	$0.269404\pi$
$588$	−17.2564	−	15.1285i	−0.711640	−	0.623887i
$589$	12.1975	+	1.88081i	0.502591	+	0.0774972i
$590$	−5.91120	+	9.40411i	−0.243360	+	0.387161i
$591$	−14.5462	−	6.24675i	−0.598351	−	0.256957i
$592$	−5.31441	+	1.12961i	−0.218421	+	0.0464268i
$593$	24.5807	−	17.8590i	1.00941	−	0.733380i	0.0453251	−	0.998972i	$-0.485568\pi$
$593$	24.5807	−	17.8590i	1.00941	−	0.733380i	0.964085	+	0.265593i	$0.0855676\pi$
$594$	−1.03872	−	2.10373i	−0.0426193	−	0.0863172i
$595$	0.786498	−	20.9253i	0.0322433	−	0.857852i
$596$	−2.04159	+	4.58550i	−0.0836270	+	0.187829i
$597$	−3.28638	+	0.744193i	−0.134502	+	0.0304578i
$598$	13.5129	+	30.3506i	0.552586	+	1.24113i
$599$	2.15161	−	10.1225i	0.0879125	−	0.413596i	−0.912081	−	0.410010i	$-0.865525\pi$
$599$	2.15161	−	10.1225i	0.0879125	−	0.413596i	0.999994	−	0.00358582i	$-0.00114141\pi$
$600$	−8.54034	−	1.43617i	−0.348658	−	0.0586313i
$601$	16.8207	+	15.1454i	0.686130	+	0.617795i	0.936629	−	0.350322i	$-0.113928\pi$
$601$	16.8207	+	15.1454i	0.686130	+	0.617795i	−0.250499	+	0.968117i	$0.580595\pi$
$602$	18.1685	−	16.3590i	0.740494	−	0.666744i
$603$	−0.167996	−	6.33680i	−0.00684131	−	0.258054i
$604$	2.45081	+	0.796316i	0.0997220	+	0.0324016i
$605$	18.5342	−	15.4682i	0.753523	−	0.628871i
$606$	14.7831	+	15.9870i	0.600521	+	0.649428i
$607$	12.5454	−	11.2959i	0.509202	−	0.458487i	−0.374035	−	0.927415i	$-0.622026\pi$
$607$	12.5454	−	11.2959i	0.509202	−	0.458487i	0.883237	+	0.468927i	$0.155359\pi$
$608$	−1.48322	+	1.64728i	−0.0601524	+	0.0668060i
$609$	−63.9808	−	45.2016i	−2.59263	−	1.83166i
$610$	−22.9530	+	23.6423i	−0.929340	+	0.957247i
$611$	−2.99525	+	1.33357i	−0.121175	+	0.0539505i
$612$	5.48758	+	2.97721i	0.221822	+	0.120346i
$613$	43.5165	+	19.3748i	1.75761	+	0.782540i	0.989904	+	0.141742i	$0.0452704\pi$
$613$	43.5165	+	19.3748i	1.75761	+	0.782540i	0.767710	+	0.640798i	$0.221396\pi$
$614$	17.0110	−	9.82133i	0.686510	−	0.396357i
$615$	−1.51506	+	6.36291i	−0.0610932	+	0.256577i
$616$	−1.19429	−	1.64380i	−0.0481192	−	0.0662304i
$617$	35.2219	−	7.48665i	1.41798	−	0.301401i	0.565754	−	0.824574i	$-0.308585\pi$
$617$	35.2219	−	7.48665i	1.41798	−	0.301401i	0.852227	+	0.523173i	$0.175252\pi$
$618$	−1.11553	−	0.479054i	−0.0448731	−	0.0192704i
$619$			7.40801i			0.297753i	0.988856	+	0.148877i	$0.0475657\pi$
$619$			7.40801i			0.297753i	−0.988856	+	0.148877i	$0.952434\pi$
$620$	−12.3549	+	1.53490i	−0.496186	+	0.0616430i
$621$	−31.2845	−	20.8816i	−1.25540	−	0.837949i
$622$	−29.1638	+	9.47590i	−1.16936	+	0.379949i
$623$	5.87880	+	27.6576i	0.235529	+	1.10808i
$624$	7.91624	+	0.726103i	0.316903	+	0.0290674i
$625$	−9.11784	−	23.2780i	−0.364714	−	0.931120i
$626$	−0.0747362	−	0.129447i	−0.00298706	−	0.00517374i
$627$	−0.726025	−	1.57420i	−0.0289946	−	0.0628674i
$628$	0.820513	−	1.12934i	0.0327420	−	0.0450655i
$629$	4.59884	+	10.3292i	0.183368	+	0.411851i
$630$	24.2237	+	18.0123i	0.965094	+	0.717628i
$631$	−20.0353	+	2.10580i	−0.797593	+	0.0838304i	−0.494553	−	0.869147i	$-0.664668\pi$
$631$	−20.0353	+	2.10580i	−0.797593	+	0.0838304i	−0.303040	+	0.952978i	$0.598002\pi$
$632$	−11.0053	−	9.90920i	−0.437767	−	0.394167i
$633$	0.263406	+	19.8748i	0.0104694	+	0.789954i
$634$	1.83851	−	17.4922i	0.0730164	−	0.694705i
$635$	−26.8610	+	22.4175i	−1.06595	+	0.889612i
$636$	9.14039	+	15.3579i	0.362440	+	0.608982i
$637$	−6.35643	+	60.4774i	−0.251851	+	2.39620i
$638$	−3.03664	−	3.37253i	−0.120222	−	0.133520i
$639$	−15.5362	+	22.6211i	−0.614602	+	0.894875i
$640$	0.985574	−	2.00715i	0.0389582	−	0.0793395i
$641$	16.1547	+	3.43379i	0.638072	+	0.135626i	0.515578	−	0.856843i	$-0.327577\pi$
$641$	16.1547	+	3.43379i	0.638072	+	0.135626i	0.122494	+	0.992469i	$0.460911\pi$
$642$	23.0657	+	7.15799i	0.910332	+	0.282503i
$643$	9.55745	+	6.94390i	0.376909	+	0.273841i	0.760070	−	0.649841i	$-0.225165\pi$
$643$	9.55745	+	6.94390i	0.376909	+	0.273841i	−0.383161	+	0.923682i	$0.625165\pi$
$644$	−29.7576	−	13.2489i	−1.17261	−	0.522081i
$645$	−14.4558	+	15.2902i	−0.569196	+	0.602051i
$646$	3.99493	+	2.30648i	0.157178	+	0.0907470i
$647$	13.6546	+	18.7939i	0.536817	+	0.738865i	0.988150	−	0.153490i	$-0.0490514\pi$
$647$	13.6546	+	18.7939i	0.536817	+	0.738865i	−0.451333	+	0.892356i	$0.649051\pi$
$648$	−8.01640	+	4.09113i	−0.314914	+	0.160715i
$649$	2.13317	−	0.693109i	0.0837342	−	0.0272069i
$650$	9.94985	+	20.6789i	0.390265	+	0.811093i
$651$	40.7772	+	14.8468i	1.59818	+	0.581894i
$652$			6.87557i			0.269268i
$653$	11.6216	+	35.7677i	0.454789	+	1.39970i	0.871383	+	0.490604i	$0.163224\pi$
$653$	11.6216	+	35.7677i	0.454789	+	1.39970i	−0.416594	+	0.909093i	$0.636776\pi$
$654$	−7.67218	−	4.29499i	−0.300006	−	0.167947i
$655$	1.39721	+	20.7756i	0.0545936	+	0.811770i
$656$	−1.46257	−	0.844414i	−0.0571037	−	0.0329688i
$657$	1.64147	−	1.26039i	0.0640397	−	0.0491724i
$658$	1.30751	−	2.93673i	0.0509722	−	0.114485i
$659$	−23.4027	+	32.2111i	−0.911641	+	1.25477i	0.0549616	+	0.998488i	$0.482496\pi$
$659$	−23.4027	+	32.2111i	−0.911641	+	1.25477i	−0.966603	+	0.256278i	$0.917504\pi$
$660$	1.13820	+	1.32764i	0.0443044	+	0.0516784i
$661$	27.5789	+	5.86208i	1.07270	+	0.228008i	0.710216	−	0.703984i	$-0.248597\pi$
$661$	27.5789	+	5.86208i	1.07270	+	0.228008i	0.362479	+	0.931992i	$0.381930\pi$
$662$	32.5175	−	3.41773i	1.26383	−	0.132834i
$663$	−1.94713	−	16.4283i	−0.0756202	−	0.638024i
$664$	−6.06914	+	5.46467i	−0.235528	+	0.212070i
$665$	17.5393	+	13.7786i	0.680147	+	0.534310i
$666$	−16.0274	−	2.96512i	−0.621051	−	0.114896i
$667$	−69.1936	−	22.4824i	−2.67919	−	0.870521i
$668$	−17.9152	−	1.88297i	−0.693162	−	0.0728542i
$669$	0.0183446	+	1.38416i	0.000709243	+	0.0535147i
$670$	1.29025	+	4.54525i	0.0498465	+	0.175598i
$671$	6.61738	−	0.695515i	0.255461	−	0.0268500i
$672$	−6.24433	+	4.66444i	−0.240880	+	0.179935i
$673$	1.08259	−	0.482001i	0.0417309	−	0.0185798i	−0.385765	−	0.922597i	$-0.626062\pi$
$673$	1.08259	−	0.482001i	0.0417309	−	0.0185798i	0.427496	+	0.904017i	$0.359396\pi$
$674$	−23.3000	−	16.9284i	−0.897481	−	0.652058i
$675$	−22.0264	−	13.7781i	−0.847797	−	0.530320i
$676$	−4.03234	−	6.98421i	−0.155090	−	0.268623i
$677$	−40.7190	−	23.5091i	−1.56496	−	0.903529i	−0.996742	−	0.0806498i	$-0.974300\pi$
$677$	−40.7190	−	23.5091i	−1.56496	−	0.903529i	−0.568216	−	0.822879i	$-0.692366\pi$
$678$	−14.6588	−	1.34456i	−0.562969	−	0.0516374i
$679$	10.5955	−	2.25215i	0.406619	−	0.0864295i
$680$	−4.51215	−	1.13777i	−0.173033	−	0.0436316i
$681$	18.4368	+	16.1633i	0.706500	+	0.619381i
$682$	2.11399	+	1.36058i	0.0809489	+	0.0520994i
$683$	22.5307			0.862113			0.431057	−	0.902325i	$-0.358141\pi$
$683$	22.5307			0.862113			0.431057	+	0.902325i	$0.358141\pi$
$684$	−6.00117	+	2.86481i	−0.229461	+	0.109539i
$685$	7.29663	−	19.8825i	0.278790	−	0.759671i
$686$	−16.5301	−	22.7517i	−0.631122	−	0.868665i
$687$	1.11242	+	3.27534i	0.0424415	+	0.124962i
$688$	−2.71649	−	4.70511i	−0.103565	−	0.179380i
$689$	19.2622	−	43.2636i	0.733832	−	1.64821i
$690$	26.4446	+	9.30910i	1.00673	+	0.354391i
$691$	−2.60464	+	1.15966i	−0.0990852	+	0.0441156i	−0.455681	−	0.890143i	$-0.650604\pi$
$691$	−2.60464	+	1.15966i	−0.0990852	+	0.0441156i	0.356595	+	0.934259i	$0.383937\pi$
$692$	10.6096	+	2.25514i	0.403316	+	0.0857275i
$693$	−1.42490	−	5.92665i	−0.0541275	−	0.225135i
$694$	−9.54158	−	8.59128i	−0.362193	−	0.326120i
$695$	36.7370	−	6.37695i	1.39352	−	0.241892i
$696$	−12.7815	+	11.8190i	−0.484482	+	0.447997i
$697$	−1.08606	+	3.34254i	−0.0411373	+	0.126608i
$698$	−5.44019	+	16.7432i	−0.205914	+	0.633739i
$699$	14.7854	−	13.6719i	0.559235	−	0.517120i
$700$	−20.8162	−	8.53949i	−0.786780	−	0.322763i
$701$	14.8633	+	13.3829i	0.561377	+	0.505466i	0.900254	−	0.435364i	$-0.143380\pi$
$701$	14.8633	+	13.3829i	0.561377	+	0.505466i	−0.338877	+	0.940831i	$0.610047\pi$
$702$	21.1109	+	11.0939i	0.796781	+	0.418711i
$703$	−11.7801	−	2.50394i	−0.444295	−	0.0944379i
$704$	−0.412489	+	0.183652i	−0.0155463	+	0.00692165i
$705$	−0.918700	+	2.60978i	−0.0346002	+	0.0982899i
$706$	−3.65377	+	8.20650i	−0.137511	+	0.308856i
$707$	28.2854	+	48.9918i	1.06378	+	1.84253i
$708$	−2.76697	−	8.14688i	−0.103989	−	0.306178i
$709$	23.5912	+	32.4705i	0.885985	+	1.21945i	0.974727	+	0.223399i	$0.0717154\pi$
$709$	23.5912	+	32.4705i	0.885985	+	1.21945i	−0.0887418	+	0.996055i	$0.528285\pi$
$710$	7.04694	−	19.2021i	0.264467	−	0.720643i
$711$	−19.1394	−	40.0931i	−0.717785	−	1.50361i
$712$	6.28351			0.235484
$713$	40.2563	+	1.94471i	1.50761	+	0.0728301i
$714$	12.1966	+	10.6927i	0.456448	+	0.400163i
$715$	1.13300	−	4.49323i	0.0423718	−	0.168037i
$716$	13.4765	−	2.86452i	0.503640	−	0.107052i
$717$	−16.3146	−	1.49643i	−0.609281	−	0.0558852i
$718$	−2.96436	−	1.71147i	−0.110629	−	0.0638716i
$719$	8.59506	+	14.8871i	0.320542	+	0.555195i	0.980600	−	0.196020i	$-0.0628017\pi$
$719$	8.59506	+	14.8871i	0.320542	+	0.555195i	−0.660058	+	0.751214i	$0.729468\pi$
$720$	5.03452	−	4.43324i	0.187626	−	0.165217i
$721$	−2.55175	−	1.85396i	−0.0950322	−	0.0690449i
$722$	12.8687	−	5.72951i	0.478923	−	0.213230i
$723$	−5.36674	+	4.00889i	−0.199591	+	0.149092i
$724$	17.3469	−	1.82324i	0.644693	−	0.0677600i
$725$	−48.2328	−	14.1088i	−1.79132	−	0.523989i
$726$	0.247806	+	18.6978i	0.00919695	+	0.693940i
$727$	−1.89555	−	0.199230i	−0.0703019	−	0.00738903i	0.0693122	−	0.997595i	$-0.477920\pi$
$727$	−1.89555	−	0.199230i	−0.0703019	−	0.00738903i	−0.139614	+	0.990206i	$0.544586\pi$
$728$	19.6423	+	6.38216i	0.727991	+	0.236538i
$729$	−26.9147	+	2.14464i	−0.996840	+	0.0794310i
$730$	−0.952916	+	1.21301i	−0.0352690	+	0.0448954i
$731$	−8.40227	+	7.56544i	−0.310769	+	0.279818i
$732$	−3.00415	−	25.3467i	−0.111037	−	0.936839i
$733$	21.7834	−	2.28953i	0.804587	−	0.0845655i	0.306699	−	0.951807i	$-0.400776\pi$
$733$	21.7834	−	2.28953i	0.804587	−	0.0845655i	0.497889	+	0.867241i	$0.334109\pi$
$734$	6.41229	+	1.36298i	0.236682	+	0.0503083i
$735$	33.3993	+	38.9583i	1.23195	+	1.43700i
$736$	−4.25479	+	5.85622i	−0.156834	+	0.215863i
$737$	0.388058	−	0.871593i	0.0142943	−	0.0321056i
$738$	−3.08559	−	4.01851i	−0.113582	−	0.147923i
$739$	−21.3715	−	12.3388i	−0.786162	−	0.453891i	0.0524476	−	0.998624i	$-0.483298\pi$
$739$	−21.3715	−	12.3388i	−0.786162	−	0.453891i	−0.838610	+	0.544733i	$0.816631\pi$
$740$	12.1215	−	0.815200i	0.445595	−	0.0299673i
$741$	15.3757	+	8.60753i	0.564841	+	0.316205i
$742$	14.3485	+	44.1601i	0.526749	+	1.62117i
$743$		−	21.5594i		−	0.790937i	−0.918480	−	0.395468i	$-0.870582\pi$
$743$		−	21.5594i		−	0.790937i	0.918480	−	0.395468i	$-0.129418\pi$
$744$	5.11127	−	8.17771i	0.187388	−	0.299809i
$745$	5.97304	−	9.50248i	0.218835	−	0.348144i
$746$	13.0190	−	4.23013i	0.476660	−	0.154876i
$747$	−23.0925	+	8.18593i	−0.844911	+	0.299508i
$748$	0.552314	+	0.760195i	0.0201946	+	0.0277955i
$749$	54.3389	+	31.3726i	1.98550	+	1.14633i
$750$	18.4484	+	5.88700i	0.673640	+	0.214963i
$751$	34.5192	+	15.3689i	1.25962	+	0.560820i	0.924438	−	0.381333i	$-0.124535\pi$
$751$	34.5192	+	15.3689i	1.25962	+	0.560820i	0.335184	+	0.942153i	$0.391201\pi$
$752$	−0.577940	−	0.419898i	−0.0210753	−	0.0153121i
$753$	22.6512	+	7.02934i	0.825454	+	0.256163i
$754$	45.1213	+	9.59084i	1.64322	+	0.349278i
$755$	−5.17228	−	2.53976i	−0.188239	−	0.0924312i
$756$	−22.6602	+	5.76671i	−0.824142	+	0.209733i
$757$	−9.67591	−	10.7462i	−0.351677	−	0.390577i	0.541188	−	0.840902i	$-0.317975\pi$
$757$	−9.67591	−	10.7462i	−0.351677	−	0.390577i	−0.892865	+	0.450325i	$0.851308\pi$
$758$	−0.621444	+	5.91264i	−0.0225719	+	0.214757i
$759$	−2.89528	−	4.86474i	−0.105092	−	0.176579i
$760$	3.80540	−	3.17589i	0.138036	−	0.115202i
$761$	1.60941	−	15.3125i	0.0583410	−	0.555077i	−0.925841	−	0.377914i	$-0.876641\pi$
$761$	1.60941	−	15.3125i	0.0583410	−	0.555077i	0.984182	−	0.177163i	$-0.0566919\pi$
$762$	−0.359138	−	27.0981i	−0.0130102	−	0.981661i
$763$	−16.9760	−	15.2853i	−0.614574	−	0.553365i
$764$	−10.6002	+	1.11413i	−0.383503	+	0.0403078i
$765$	−11.2025	−	8.33003i	−0.405029	−	0.301173i
$766$	10.5190	+	23.6260i	0.380065	+	0.853641i
$767$	−13.4009	+	18.4447i	−0.483877	+	0.665999i
$768$	0.725396	+	1.57283i	0.0261755	+	0.0567547i
$769$	6.83338	+	11.8358i	0.246418	+	0.426809i	0.962529	−	0.271177i	$-0.0874130\pi$
$769$	6.83338	+	11.8358i	0.246418	+	0.426809i	−0.716111	+	0.697986i	$0.754080\pi$
$770$	2.12228	+	4.01719i	0.0764818	+	0.144770i
$771$	−14.0912	−	1.29249i	−0.507480	−	0.0465477i
$772$	−5.73482	−	26.9802i	−0.206401	−	0.971038i
$773$	−6.70582	+	2.17885i	−0.241191	+	0.0783679i	−0.427118	−	0.904196i	$-0.640471\pi$
$773$	−6.70582	+	2.17885i	−0.241191	+	0.0783679i	0.185927	+	0.982564i	$0.440471\pi$
$774$	−2.13269	−	16.1588i	−0.0766581	−	0.580817i
$775$	27.8340	+	0.520215i	0.999825	+	0.0186867i
$776$		−	2.40719i		−	0.0864131i
$777$	−38.9105	−	16.7098i	−1.39590	−	0.599459i
$778$	22.9819	−	4.88495i	0.823940	−	0.175134i
$779$	−2.20038	−	3.02857i	−0.0788369	−	0.108510i
$780$	−17.2921	−	4.11739i	−0.619157	−	0.147426i
$781$	−3.57696	+	2.06516i	−0.127994	+	0.0738972i
$782$	13.7618	+	6.12713i	0.492120	+	0.219106i
$783$	−48.9886	+	18.1000i	−1.75071	+	0.646841i
$784$	−12.1041	+	5.38908i	−0.432288	+	0.192467i
$785$	−2.17429	+	2.23958i	−0.0776037	+	0.0799340i
$786$	−13.1732	−	9.30667i	−0.469872	−	0.331958i
$787$	17.7944	−	19.7627i	0.634301	−	0.704463i	−0.337217	−	0.941427i	$-0.609486\pi$
$787$	17.7944	−	19.7627i	0.634301	−	0.704463i	0.971518	+	0.236964i	$0.0761523\pi$
$788$	−6.79228	+	6.11580i	−0.241965	+	0.217866i
$789$	−2.12861	−	2.30197i	−0.0757807	−	0.0819524i
$790$	21.2177	+	25.4234i	0.754893	+	0.904525i
$791$	−36.3724	−	11.8181i	−1.29325	−	0.420204i
$792$	−1.35410	+	0.0358987i	−0.0481159	+	0.00127561i
$793$	−50.2620	+	45.2561i	−1.78486	+	1.60709i
$794$	−22.2110	−	19.9988i	−0.788237	−	0.709732i
$795$	−15.3621	−	36.8927i	−0.544837	−	1.30845i
$796$	−0.404478	+	1.90292i	−0.0143363	+	0.0674471i
$797$	−0.770698	−	1.73102i	−0.0272995	−	0.0613157i	0.899381	−	0.437165i	$-0.144018\pi$
$797$	−0.770698	−	1.73102i	−0.0272995	−	0.0613157i	−0.926681	+	0.375850i	$0.877351\pi$
$798$	−16.8501	+	3.81568i	−0.596489	+	0.135073i
$799$	−0.604677	+	1.35813i	−0.0213919	+	0.0480471i
$800$	−2.81799	+	4.13024i	−0.0996311	+	0.146026i
$801$	17.4180	+	7.20812i	0.615433	+	0.254686i
$802$	6.62691	−	4.81473i	0.234004	−	0.170014i
$803$	0.304677	−	0.0647610i	0.0107518	−	0.00228537i
$804$	−3.36286	−	1.44415i	−0.118599	−	0.0509313i
$805$	61.6663	+	38.7620i	2.17345	+	1.36618i
$806$	−25.5133	+	1.44173i	−0.898666	+	0.0507828i
$807$	20.6172	+	18.0749i	0.725760	+	0.636266i
$808$	11.9561	−	3.88479i	0.420616	−	0.136666i
$809$	−8.79598	+	1.86964i	−0.309250	+	0.0657331i	−0.359923	−	0.932982i	$-0.617197\pi$
$809$	−8.79598	+	1.86964i	−0.309250	+	0.0657331i	0.0506725	+	0.998715i	$0.483864\pi$
$810$	19.0413	−	6.51364i	0.669044	−	0.228866i
$811$	−5.50898	+	9.54184i	−0.193447	+	0.335059i	−0.946390	−	0.323026i	$-0.895300\pi$
$811$	−5.50898	+	9.54184i	−0.193447	+	0.335059i	0.752944	+	0.658085i	$0.228633\pi$
$812$	−39.1687	+	22.6140i	−1.37455	+	0.793597i
$813$	−34.8808	+	16.0872i	−1.22332	+	0.564201i
$814$	−1.98468	−	1.44196i	−0.0695631	−	0.0505405i
$815$	2.18020	−	15.2189i	0.0763690	−	0.533093i
$816$	2.88777	−	2.15713i	0.101092	−	0.0755147i
$817$	−1.25883	−	11.9770i	−0.0440409	−	0.419021i
$818$	28.0772	+	25.2808i	0.981696	+	0.883923i
$819$	47.1273	+	40.2240i	1.64676	+	1.40554i
$820$	2.96959	+	2.33286i	0.103703	+	0.0814669i
$821$	13.3692	−	41.1463i	0.466590	−	1.43602i	−0.390382	−	0.920653i	$-0.627657\pi$
$821$	13.3692	−	41.1463i	0.466590	−	1.43602i	0.856972	−	0.515363i	$-0.172343\pi$
$822$	8.39019	+	14.0974i	0.292642	+	0.491704i
$823$	3.36096	−	31.9774i	0.117156	−	1.11466i	−0.765107	−	0.643903i	$-0.777314\pi$
$823$	3.36096	−	31.9774i	0.117156	−	1.11466i	0.882262	−	0.470758i	$-0.156020\pi$
$824$	−0.520891	+	0.469012i	−0.0181461	+	0.0163388i
$825$	−2.09839	−	3.29961i	−0.0730564	−	0.114878i
$826$	−2.33657	−	22.2310i	−0.0812997	−	0.773515i
$827$	3.07100	−	14.4479i	0.106789	−	0.502404i	−0.891947	−	0.452140i	$-0.850661\pi$
$827$	3.07100	−	14.4479i	0.106789	−	0.502404i	0.998736	−	0.0502635i	$-0.0160061\pi$
$828$	−18.5123	+	11.3526i	−0.643346	+	0.394531i
$829$	26.1564	−	36.0012i	0.908450	−	1.25037i	−0.0592428	−	0.998244i	$-0.518869\pi$
$829$	26.1564	−	36.0012i	0.908450	−	1.25037i	0.967693	−	0.252131i	$-0.0811314\pi$
$830$	15.1667	−	10.1714i	0.526443	−	0.353055i
$831$	6.61817	−	33.3000i	0.229582	−	1.15517i
$832$	2.29481	−	3.97473i	0.0795583	−	0.137799i
$833$	16.2071	+	22.3071i	0.561542	+	0.772896i
$834$	−14.1082	+	25.2017i	−0.488528	+	0.872662i
$835$	39.0578	+	9.84870i	1.35165	+	0.340828i
$836$	−1.00087			−0.0346157
$837$	23.5496	−	16.8053i	0.813992	−	0.580877i
$838$		−	18.4671i		−	0.637936i
$839$	40.1271	−	13.0381i	1.38534	−	0.450124i	0.480919	−	0.876765i	$-0.340303\pi$
$839$	40.1271	−	13.0381i	1.38534	−	0.450124i	0.904421	+	0.426641i	$0.140303\pi$
$840$	15.3007	−	8.34457i	0.527924	−	0.287915i
$841$	−58.2641	+	42.3313i	−2.00911	+	1.45970i
$842$	−9.76555	+	16.9144i	−0.336543	+	0.582909i
$843$	−39.1249	−	7.77582i	−1.34753	−	0.267813i
$844$	10.4836	+	4.66761i	0.360861	+	0.160666i
$845$	6.71081	+	16.7380i	0.230859	+	0.575804i
$846$	−1.12037	−	1.82695i	−0.0385192	−	0.0628117i
$847$	−10.1008	+	47.5204i	−0.347067	+	1.63282i
$848$	10.2619	−	1.07857i	0.352397	−	0.0370384i
$849$	5.85878	+	49.4318i	0.201073	+	1.69649i
$850$	9.62674	+	3.94920i	0.330194	+	0.135456i
$851$	−39.1133	−	4.11097i	−1.34079	−	0.140922i
$852$	8.10308	+	13.6150i	0.277607	+	0.466443i
$853$	−19.2149	−	6.24330i	−0.657906	−	0.213767i	−0.0390092	−	0.999239i	$-0.512420\pi$
$853$	−19.2149	−	6.24330i	−0.657906	−	0.213767i	−0.618897	+	0.785472i	$0.712420\pi$
$854$	6.93157	−	65.9495i	0.237193	−	2.25674i
$855$	14.1918	−	4.43823i	0.485351	−	0.151784i
$856$	9.33003	−	10.3620i	0.318894	−	0.354168i
$857$	−1.46332	−	13.9225i	−0.0499860	−	0.475585i	−0.990668	−	0.136296i	$-0.956480\pi$
$857$	−1.46332	−	13.9225i	−0.0499860	−	0.475585i	0.940682	−	0.339289i	$-0.110186\pi$
$858$	2.14809	+	2.87566i	0.0733345	+	0.0981735i
$859$	1.27872	+	2.87205i	0.0436293	+	0.0979931i	0.934045	−	0.357155i	$-0.116253\pi$
$859$	1.27872	+	2.87205i	0.0436293	+	0.0979931i	−0.890416	+	0.455148i	$0.849586\pi$
$860$	4.52092	+	11.2760i	0.154162	+	0.384508i
$861$	−5.51275	−	11.9530i	−0.187874	−	0.407356i
$862$	4.96266	−	2.86519i	0.169029	−	0.0975889i
$863$	−14.4319	−	8.33226i	−0.491267	−	0.283633i	0.233833	−	0.972277i	$-0.424873\pi$
$863$	−14.4319	−	8.33226i	−0.491267	−	0.283633i	−0.725100	+	0.688643i	$0.758207\pi$
$864$	0.206531	+	5.19205i	0.00702632	+	0.176637i
$865$	−22.7689	−	8.35592i	−0.774167	−	0.284110i
$866$	1.03875	+	3.19693i	0.0352980	+	0.108636i
$867$	16.5005	+	14.4658i	0.560386	+	0.491284i
$868$	17.6437	−	17.7886i	0.598867	−	0.603785i
$869$		−	6.68667i		−	0.226830i
$870$	32.0392	−	22.1080i	1.08623	−	0.749531i
$871$	2.01631	+	9.48600i	0.0683201	+	0.321421i
$872$	−4.10689	+	2.98383i	−0.139077	+	0.101045i
$873$	2.76141	−	6.67276i	0.0934595	−	0.225839i
$874$	−13.8958	+	8.02276i	−0.470033	+	0.271374i
$875$	43.3683	+	25.5026i	1.46612	+	0.862146i
$876$	−0.263889	−	1.16534i	−0.00891599	−	0.0393733i
$877$	8.45965	+	19.0007i	0.285662	+	0.641607i	0.998197	−	0.0600297i	$-0.0191195\pi$
$877$	8.45965	+	19.0007i	0.285662	+	0.641607i	−0.712535	+	0.701637i	$0.752453\pi$
$878$	31.5026	+	6.69608i	1.06316	+	0.225982i
$879$	−9.95597	+	14.0922i	−0.335807	+	0.475319i
$880$	0.971268	−	0.275711i	0.0327414	−	0.00929421i
$881$	25.3094	+	28.1089i	0.852695	+	0.947014i	0.999109	−	0.0422093i	$-0.0134396\pi$
$881$	25.3094	+	28.1089i	0.852695	+	0.947014i	−0.146413	+	0.989224i	$0.546773\pi$
$882$	−39.7347	+	1.05341i	−1.33794	+	0.0354702i
$883$	−3.48575	+	10.7280i	−0.117305	+	0.361027i	−0.992421	−	0.122886i	$-0.960785\pi$
$883$	−3.48575	+	10.7280i	−0.117305	+	0.361027i	0.875116	+	0.483913i	$0.160785\pi$
$884$	−9.08382	−	2.95151i	−0.305522	−	0.0992700i
$885$	3.54128	+	18.9103i	0.119039	+	0.635661i
$886$	−9.71539	−	10.7900i	−0.326395	−	0.362498i
$887$	28.9170	−	32.1156i	0.970937	−	1.07834i	−0.0259633	−	0.999663i	$-0.508265\pi$
$887$	28.9170	−	32.1156i	0.970937	−	1.07834i	0.996901	−	0.0786722i	$-0.0250680\pi$
$888$	−5.42996	+	7.68586i	−0.182218	+	0.257921i
$889$	14.6387	−	68.8698i	0.490967	−	2.30982i
$890$	−13.9084	−	1.99246i	−0.466209	−	0.0667874i
$891$	−3.79477	−	1.45385i	−0.127129	−	0.0487056i
$892$	0.730119	+	0.325070i	0.0244462	+	0.0108842i
$893$	−0.791753	−	1.37136i	−0.0264950	−	0.0458907i
$894$	2.79591	+	8.23210i	0.0935093	+	0.275323i
$895$	−30.7382	+	2.06722i	−1.02746	+	0.0690994i
$896$	0.935592	+	4.40162i	0.0312559	+	0.147048i
$897$	52.8743	+	22.7064i	1.76542	+	0.758145i
$898$	18.9822			0.633446
$899$	35.0389	−	43.6331i	1.16861	−	1.45524i
$900$	−12.5495	+	8.21643i	−0.418317	+	0.273881i
$901$	−6.63564	−	20.4224i	−0.221065	−	0.680368i
$902$	−0.158543	−	0.745886i	−0.00527890	−	0.0248353i
$903$	3.86783	−	42.1685i	0.128713	−	1.40328i
$904$	−4.24941	+	7.36019i	−0.141333	+	0.244796i
$905$	−38.9750	−	1.46492i	−1.29557	−	0.0486955i
$906$	4.05308	−	1.86929i	0.134655	−	0.0621032i
$907$	−28.7965	+	39.6351i	−0.956174	+	1.31606i	−0.00744385	+	0.999972i	$0.502369\pi$
$907$	−28.7965	+	39.6351i	−0.956174	+	1.31606i	−0.948730	+	0.316088i	$0.897631\pi$
$908$	12.9321	−	5.75773i	0.429166	−	0.191077i
$909$	37.5990	+	2.94681i	1.24708	+	0.0977396i
$910$	−41.4538	−	20.3551i	−1.37418	−	0.674767i
$911$	26.6932	−	29.6458i	0.884385	−	0.982210i	−0.115553	−	0.993301i	$-0.536864\pi$
$911$	26.6932	−	29.6458i	0.884385	−	0.982210i	0.999938	+	0.0110918i	$0.00353070\pi$
$912$	0.0508790	+	3.83899i	0.00168477	+	0.127122i
$913$	−3.66733	−	0.385452i	−0.121371	−	0.0127566i
$914$	−6.98354	+	21.4931i	−0.230995	+	0.710929i
$915$	−1.38766	+	57.0567i	−0.0458746	+	1.88624i
$916$	1.98617	+	0.208755i	0.0656248	+	0.00689744i
$917$	−28.0393	−	31.1408i	−0.925940	−	1.02836i
$918$	10.4795	−	2.66689i	0.345875	−	0.0880204i
$919$	0.620036	+	5.89925i	0.0204531	+	0.194598i	0.999977	−	0.00672789i	$-0.00214157\pi$
$919$	0.620036	+	5.89925i	0.0204531	+	0.194598i	−0.979524	+	0.201326i	$0.935475\pi$
$920$	11.2748	−	11.6134i	0.371720	−	0.382882i
$921$	10.0837	−	32.4934i	0.332269	−	1.07069i
$922$	−9.68610	−	7.03736i	−0.318995	−	0.231763i
$923$	17.0762	−	38.3538i	0.562070	−	1.26243i
$924$	−3.45175	−	0.686012i	−0.113554	−	0.0225681i
$925$	−27.0890	−	2.03922i	−0.890682	−	0.0670492i
$926$	−1.36426	+	0.991194i	−0.0448324	+	0.0325726i
$927$	−1.98194	+	0.702567i	−0.0650955	+	0.0230753i
$928$	3.10587	+	9.55887i	0.101955	+	0.313785i
$929$	26.3883			0.865771			0.432886	−	0.901449i	$-0.357495\pi$
$929$	26.3883			0.865771			0.432886	+	0.901449i	$0.357495\pi$
$930$	−13.9067	+	16.4804i	−0.456020	+	0.540413i
$931$	−29.3694			−0.962544
$932$	−3.59280	−	11.0575i	−0.117686	−	0.362200i
$933$	−25.9445	+	46.3449i	−0.849384	+	1.51726i
$934$	−10.4821	+	7.61566i	−0.342983	+	0.249192i
$935$	−0.981477	−	1.85780i	−0.0320977	−	0.0607567i
$936$	10.9209	−	8.38551i	0.356960	−	0.274089i
$937$	19.7399	−	44.3366i	0.644875	−	1.44841i	−0.234420	−	0.972135i	$-0.575319\pi$
$937$	19.7399	−	44.3366i	0.644875	−	1.44841i	0.879295	−	0.476278i	$-0.158014\pi$
$938$	−7.69248	−	5.58892i	−0.251169	−	0.182485i
$939$	−0.247261	−	0.0767326i	−0.00806907	−	0.00250407i
$940$	1.14611	+	1.11269i	0.0373819	+	0.0362921i
$941$	−0.826989	−	7.86827i	−0.0269591	−	0.256498i	−0.999698	−	0.0245935i	$-0.992171\pi$
$941$	−0.826989	−	7.86827i	−0.0269591	−	0.256498i	0.972738	−	0.231905i	$-0.0744958\pi$
$942$	−0.284577	−	2.40103i	−0.00927201	−	0.0782299i
$943$	−8.18005	−	9.08486i	−0.266379	−	0.295844i
$944$	−4.94027	−	0.519244i	−0.160792	−	0.0168999i
$945$	51.9862	−	5.57905i	1.69111	−	0.181486i
$946$	0.758060	−	2.33307i	0.0246467	−	0.0758546i
$947$	33.6475	+	3.53649i	1.09340	+	0.114921i	0.634017	−	0.773319i	$-0.281405\pi$
$947$	33.6475	+	3.53649i	1.09340	+	0.114921i	0.459380	+	0.888240i	$0.348072\pi$
$948$	−25.6478	+	0.339916i	−0.833002	+	0.0110400i
$949$	−2.11856	+	2.35290i	−0.0687713	+	0.0763783i
$950$	−9.43020	+	5.82307i	−0.305956	+	0.188925i
$951$	−18.2315	−	24.4067i	−0.591197	−	0.791441i
$952$	8.55505	−	3.80895i	0.277271	−	0.123449i
$953$	18.4410	−	25.3818i	0.597362	−	0.822198i	−0.398102	−	0.917341i	$-0.630331\pi$
$953$	18.4410	−	25.3818i	0.597362	−	0.822198i	0.995464	+	0.0951433i	$0.0303309\pi$
$954$	29.6835	+	8.78217i	0.961040	+	0.284333i
$955$	23.8166	+	0.895173i	0.770687	+	0.0289671i
$956$	−4.72940	+	8.19156i	−0.152960	+	0.264934i
$957$	−7.82752	−	0.717965i	−0.253028	−	0.0232085i
$958$	5.43632	+	25.5759i	0.175639	+	0.826318i
$959$	13.1708	+	40.5356i	0.425308	+	1.30896i
$960$	−1.10691	−	3.71144i	−0.0357253	−	0.119786i
$961$	−12.3768	+	28.4221i	−0.399252	+	0.916841i
$962$	24.9361			0.803971
$963$	37.7498	−	18.0208i	1.21647	−	0.580711i
$964$	0.804102	+	3.78300i	0.0258984	+	0.121842i
$965$	4.13861	+	61.5383i	0.133226	+	1.98099i
$966$	−53.4222	+	18.1441i	−1.71883	+	0.583776i
$967$	1.56454	+	2.70986i	0.0503122	+	0.0871434i	0.890085	−	0.455795i	$-0.150645\pi$
$967$	1.56454	+	2.70986i	0.0503122	+	0.0871434i	−0.839772	+	0.542938i	$0.817312\pi$
$968$	9.86275	+	4.39118i	0.317001	+	0.141138i
$969$	7.79257	−	1.76461i	0.250333	−	0.0566874i
$970$	−0.763304	+	5.32825i	−0.0245082	+	0.171080i
$971$	−3.51661	+	16.5443i	−0.112853	+	0.530933i	0.885009	+	0.465575i	$0.154152\pi$
$971$	−3.51661	+	16.5443i	−0.112853	+	0.530933i	−0.997862	+	0.0653583i	$0.979181\pi$
$972$	−5.38355	+	14.6293i	−0.172677	+	0.469236i
$973$	−50.2093	+	55.7631i	−1.60964	+	1.78768i
$974$	−8.13232	−	9.03186i	−0.260576	−	0.289399i
$975$	36.9700	+	14.5969i	1.18399	+	0.467476i
$976$	−14.0151	−	4.55378i	−0.448612	−	0.145763i
$977$	−7.65578	+	23.5621i	−0.244930	+	0.753817i	0.750718	+	0.660623i	$0.229708\pi$
$977$	−7.65578	+	23.5621i	−0.244930	+	0.753817i	−0.995648	+	0.0931941i	$0.970292\pi$
$978$	8.08514	+	8.74361i	0.258534	+	0.279590i
$979$	1.89843	+	2.10842i	0.0606742	+	0.0673855i
$980$	28.5008	−	8.09045i	0.910426	−	0.258440i
$981$	−14.8072	+	3.55999i	−0.472759	+	0.113662i
$982$	7.50615	+	1.59548i	0.239531	+	0.0509139i
$983$	−19.3906	−	43.5520i	−0.618463	−	1.38909i	−0.902672	−	0.430329i	$-0.858398\pi$
$983$	−19.3906	−	43.5520i	−0.618463	−	1.38909i	0.284209	−	0.958762i	$-0.408269\pi$
$984$	−2.85290	+	0.646033i	−0.0909472	+	0.0205948i
$985$	16.9738	−	11.3833i	0.540830	−	0.362704i
$986$	18.1140	−	10.4582i	0.576869	−	0.333055i
$987$	−1.79061	−	5.27215i	−0.0569957	−	0.167814i
$988$	8.23055	−	5.97985i	0.261849	−	0.190244i
$989$	−8.17668	−	38.4683i	−0.260003	−	1.22322i
$990$	3.00865	+	0.349916i	0.0956211	+	0.0111211i
$991$			30.6843i			0.974718i	0.873202	+	0.487359i	$0.162040\pi$
$991$			30.6843i			0.974718i	−0.873202	+	0.487359i	$0.837960\pi$
$992$	−3.05149	−	4.65708i	−0.0968849	−	0.147862i
$993$	37.3333	−	42.5844i	1.18474	−	1.35138i
$994$	12.7201	+	39.1485i	0.403457	+	1.24171i
$995$	1.49870	−	4.08380i	0.0475121	−	0.129465i
$996$	−1.29203	+	14.0862i	−0.0409397	+	0.446339i
$997$	−24.0026	−	13.8579i	−0.760169	−	0.438884i	0.0691875	−	0.997604i	$-0.477959\pi$
$997$	−24.0026	−	13.8579i	−0.760169	−	0.438884i	−0.829356	+	0.558720i	$0.811293\pi$
$998$	35.0595	−	20.2416i	1.10979	−	0.640737i
$999$	−23.8687	+	15.0763i	−0.755174	+	0.476994i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.5	yes	256
3.2	odd	2		930.2.bo.a.179.10	✓	256
5.4	even	2		930.2.bo.a.179.28	yes	256
15.14	odd	2	inner	930.2.bo.b.179.23	yes	256
31.22	odd	30	inner	930.2.bo.b.239.23	yes	256
93.53	even	30		930.2.bo.a.239.28	yes	256
155.84	odd	30		930.2.bo.a.239.10	yes	256
465.239	even	30	inner	930.2.bo.b.239.5	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.10	✓	256	3.2	odd	2
930.2.bo.a.179.28	yes	256	5.4	even	2
930.2.bo.a.239.10	yes	256	155.84	odd	30
930.2.bo.a.239.28	yes	256	93.53	even	30
930.2.bo.b.179.5	yes	256	1.1	even	1	trivial
930.2.bo.b.179.23	yes	256	15.14	odd	2	inner
930.2.bo.b.239.5	yes	256	465.239	even	30	inner
930.2.bo.b.239.23	yes	256	31.22	odd	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.51134 - 0.846071i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.97712 - 1.04451i) q^{5} +(-0.337630 + 1.69882i) q^{6} +(-1.83029 + 4.11091i) q^{7} +(0.809017 + 0.587785i) q^{8} +(1.56833 + 2.55741i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-1.51134 - 0.846071i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.97712 - 1.04451i) q^{5} +(-0.337630 + 1.69882i) q^{6} +(-1.83029 + 4.11091i) q^{7} +(0.809017 + 0.587785i) q^{8} +(1.56833 + 2.55741i) q^{9} +(-1.60435 - 1.55758i) q^{10} +(0.0471973 + 0.449052i) q^{11} +(1.72001 - 0.203860i) q^{12} +(-3.07106 - 3.41076i) q^{13} +(4.47530 + 0.470373i) q^{14} +(-3.87184 - 0.0941659i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-2.06966 - 0.217530i) q^{17} +(1.94760 - 2.28185i) q^{18} +(1.48322 - 1.64728i) q^{19} +(-0.985574 + 2.00715i) q^{20} +(6.24433 - 4.66444i) q^{21} +(0.412489 - 0.183652i) q^{22} +(4.25479 - 5.85622i) q^{23} +(-0.725396 - 1.57283i) q^{24} +(2.81799 - 4.13024i) q^{25} +(-2.29481 + 3.97473i) q^{26} +(-0.206531 - 5.19205i) q^{27} +(-0.935592 - 4.40162i) q^{28} +(-3.10587 - 9.55887i) q^{29} +(1.10691 + 3.71144i) q^{30} +(3.05149 + 4.65708i) q^{31} -1.00000 q^{32} +(0.308599 - 0.718605i) q^{33} +(0.432677 + 2.03558i) q^{34} +(0.675182 + 10.0395i) q^{35} +(-2.77201 - 1.14715i) q^{36} +(-2.71657 - 4.70524i) q^{37} +(-2.02500 - 0.901587i) q^{38} +(1.75569 + 7.75317i) q^{39} +(2.21347 + 0.317093i) q^{40} +(0.351127 - 1.65192i) q^{41} +(-6.36575 - 4.49732i) q^{42} +(3.63538 - 4.03750i) q^{43} +(-0.302130 - 0.335549i) q^{44} +(5.77201 + 3.41817i) q^{45} +(-6.88439 - 2.23688i) q^{46} +(0.220754 - 0.679410i) q^{47} +(-1.27169 + 1.17592i) q^{48} +(-8.86568 - 9.84634i) q^{49} +(-4.79890 - 1.40375i) q^{50} +(2.94392 + 2.07984i) q^{51} +(4.48933 + 0.954237i) q^{52} +(4.19690 + 9.42640i) q^{53} +(-4.87411 + 1.80085i) q^{54} +(0.562355 + 0.838531i) q^{55} +(-3.89707 + 2.24998i) q^{56} +(-3.63537 + 1.23470i) q^{57} +(-8.13126 + 5.90771i) q^{58} +(-1.03280 - 4.85893i) q^{59} +(3.18773 - 2.19963i) q^{60} -14.7363i q^{61} +(3.48618 - 4.34126i) q^{62} +(-13.3838 + 1.76643i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-9.63442 - 3.53571i) q^{65} +(-0.778796 - 0.0714337i) q^{66} +(-1.82992 - 1.05650i) q^{67} +(1.80225 - 1.04053i) q^{68} +(-11.3852 + 5.25091i) q^{69} +(9.33951 - 3.74452i) q^{70} +(3.72061 + 8.35663i) q^{71} +(-0.234405 + 2.99083i) q^{72} +(-0.0721085 - 0.686067i) q^{73} +(-3.63548 + 4.03761i) q^{74} +(-7.75344 + 3.85800i) q^{75} +(-0.231701 + 2.20449i) q^{76} +(-1.93240 - 0.627874i) q^{77} +(6.83116 - 4.06562i) q^{78} +(-14.7279 - 1.54797i) q^{79} +(-0.382426 - 2.20312i) q^{80} +(-4.08070 + 8.02171i) q^{81} +(-1.67958 + 0.176531i) q^{82} +(-1.69798 + 7.98836i) q^{83} +(-2.31008 + 7.44394i) q^{84} +(-4.31917 + 1.73170i) q^{85} +(-4.96328 - 2.20980i) q^{86} +(-3.39345 + 17.0745i) q^{87} +(-0.225763 + 0.391033i) q^{88} +(5.08346 - 3.69335i) q^{89} +(1.46722 - 6.54578i) q^{90} +(19.6423 - 6.38216i) q^{91} +7.23868i q^{92} +(-0.671632 - 9.62023i) q^{93} -0.714374 q^{94} +(1.21189 - 4.80611i) q^{95} +(1.51134 + 0.846071i) q^{96} +(-1.41491 - 1.94746i) q^{97} +(-6.62478 + 11.4745i) q^{98} +(-1.07439 + 0.824964i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

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