LMFDB - Embedded newform 702.2.w.d.157.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [702,2,Mod(79,702)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(702, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([10, 0]))

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

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

chi := DirichletCharacter("702.79");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 702 = 2 \cdot 3^{3} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	702.w (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.60549822189$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$11$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			157.7
Character	$\chi$	$=$	702.157
Dual form			702.2.w.d.313.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.766044 + 0.642788i) q^{2} +(0.131706 + 1.72704i) q^{3} +(0.173648 - 0.984808i) q^{4} +(4.03739 - 1.46949i) q^{5} +(-1.21101 - 1.23833i) q^{6} +(-0.457883 - 2.59679i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.96531 + 0.454921i) q^{9} +(-2.14825 + 3.72088i) q^{10} +(-0.0812511 - 0.0295730i) q^{11} +(1.72367 + 0.170192i) q^{12} +(0.766044 + 0.642788i) q^{13} +(2.01994 + 1.69493i) q^{14} +(3.06961 + 6.77917i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(2.50398 - 4.33702i) q^{17} +(1.97914 - 2.25455i) q^{18} +(0.573797 + 0.993846i) q^{19} +(-0.746079 - 4.23122i) q^{20} +(4.42444 - 1.13279i) q^{21} +(0.0812511 - 0.0295730i) q^{22} +(-0.798945 + 4.53104i) q^{23} +(-1.42980 + 0.977579i) q^{24} +(10.3109 - 8.65185i) q^{25} -1.00000 q^{26} +(-1.17621 - 5.06128i) q^{27} -2.63684 q^{28} +(5.24320 - 4.39957i) q^{29} +(-6.70902 - 3.22004i) q^{30} +(0.0321683 - 0.182436i) q^{31} +(0.939693 - 0.342020i) q^{32} +(0.0403724 - 0.144219i) q^{33} +(0.869623 + 4.93188i) q^{34} +(-5.66460 - 9.81137i) q^{35} +(-0.0669102 + 2.99925i) q^{36} +(-1.87950 + 3.25539i) q^{37} +(-1.07839 - 0.392500i) q^{38} +(-1.00922 + 1.40765i) q^{39} +(3.29131 + 2.76174i) q^{40} +(-2.44841 - 2.05446i) q^{41} +(-2.66117 + 3.71174i) q^{42} +(10.4751 + 3.81263i) q^{43} +(-0.0432328 + 0.0748814i) q^{44} +(-11.3036 + 6.19418i) q^{45} +(-2.30047 - 3.98453i) q^{46} +(-0.816983 - 4.63334i) q^{47} +(0.466918 - 1.66793i) q^{48} +(0.0442115 - 0.0160917i) q^{49} +(-2.33729 + 13.2554i) q^{50} +(7.81998 + 3.75325i) q^{51} +(0.766044 - 0.642788i) q^{52} -6.63578 q^{53} +(4.15436 + 3.12111i) q^{54} -0.371499 q^{55} +(2.01994 - 1.69493i) q^{56} +(-1.64083 + 1.12186i) q^{57} +(-1.18854 + 6.74053i) q^{58} +(-3.35716 + 1.22190i) q^{59} +(7.20921 - 1.84578i) q^{60} +(2.50953 + 14.2323i) q^{61} +(0.0926250 + 0.160431i) q^{62} +(2.53910 + 7.49197i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(4.03739 + 1.46949i) q^{65} +(0.0617749 + 0.136429i) q^{66} +(-2.88658 - 2.42213i) q^{67} +(-3.83632 - 3.21905i) q^{68} +(-7.93050 - 0.783042i) q^{69} +(10.6460 + 3.87481i) q^{70} +(-2.88684 + 5.00016i) q^{71} +(-1.87663 - 2.34057i) q^{72} +(6.76607 + 11.7192i) q^{73} +(-0.652744 - 3.70189i) q^{74} +(16.3001 + 16.6678i) q^{75} +(1.07839 - 0.392500i) q^{76} +(-0.0395912 + 0.224533i) q^{77} +(-0.131706 - 1.72704i) q^{78} +(4.55880 - 3.82529i) q^{79} -4.29650 q^{80} +(8.58609 - 2.69796i) q^{81} +3.19618 q^{82} +(-10.7437 + 9.01506i) q^{83} +(-0.347288 - 4.55393i) q^{84} +(3.73633 - 21.1898i) q^{85} +(-10.4751 + 3.81263i) q^{86} +(8.28878 + 8.47575i) q^{87} +(-0.0150146 - 0.0851520i) q^{88} +(0.856441 + 1.48340i) q^{89} +(4.67751 - 12.0108i) q^{90} +(1.31842 - 2.28357i) q^{91} +(4.32347 + 1.57361i) q^{92} +(0.319310 + 0.0315280i) q^{93} +(3.60410 + 3.02420i) q^{94} +(3.77709 + 3.16935i) q^{95} +(0.714444 + 1.57784i) q^{96} +(-2.77672 - 1.01064i) q^{97} +(-0.0235244 + 0.0407455i) q^{98} +(0.254388 + 0.0507301i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q + 3 q^{5} + 9 q^{6} - 3 q^{7} + 33 q^{8} - 6 q^{9} - 9 q^{10} - 3 q^{11} + 3 q^{14} - 27 q^{15} + 12 q^{17} - 12 q^{18} - 21 q^{19} - 6 q^{20} - 18 q^{21} + 3 q^{22} - 3 q^{25} - 66 q^{26} + 9 q^{27}+ \cdots - 15 q^{99}+O(q^{100}) $ 66 * q + 3 * q^5 + 9 * q^6 - 3 * q^7 + 33 * q^8 - 6 * q^9 - 9 * q^10 - 3 * q^11 + 3 * q^14 - 27 * q^15 + 12 * q^17 - 12 * q^18 - 21 * q^19 - 6 * q^20 - 18 * q^21 + 3 * q^22 - 3 * q^25 - 66 * q^26 + 9 * q^27 + 18 * q^28 + 39 * q^29 + 9 * q^30 - 9 * q^31 + 15 * q^33 - 6 * q^34 - 9 * q^35 - 3 * q^36 - 21 * q^37 + 6 * q^38 - 3 * q^40 + 6 * q^41 + 9 * q^42 - 6 * q^43 + 3 * q^44 - 9 * q^45 - 9 * q^46 - 36 * q^47 + 9 * q^48 - 9 * q^49 + 3 * q^50 + 21 * q^51 - 60 * q^53 + 27 * q^54 + 84 * q^55 + 3 * q^56 + 87 * q^57 + 24 * q^58 - 30 * q^59 + 6 * q^60 - 12 * q^61 + 21 * q^62 - 60 * q^63 - 33 * q^64 + 3 * q^65 + 24 * q^66 - 3 * q^67 + 15 * q^68 - 87 * q^69 - 21 * q^70 + 3 * q^71 + 6 * q^72 - 15 * q^73 + 6 * q^74 - 117 * q^75 - 6 * q^76 + 27 * q^77 + 27 * q^79 - 18 * q^80 + 78 * q^81 + 24 * q^82 - 24 * q^83 + 33 * q^84 + 45 * q^85 + 6 * q^86 + 18 * q^87 - 6 * q^88 + 36 * q^89 - 87 * q^90 - 9 * q^91 - 63 * q^93 - 36 * q^94 + 63 * q^95 - 102 * q^97 + 72 * q^98 - 15 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/702\mathbb{Z}\right)^\times$.

$n$	$379$	$677$
$\chi(n)$	$1$	$e\left(\frac{7}{9}\right)$

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 $

$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$3$	0.131706	+	1.72704i	0.0760404	+	0.997105i
$3$	0.131706	+	1.72704i	0.0760404	+	0.997105i
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	4.03739	−	1.46949i	1.80557	−	0.657175i	0.807877	−	0.589351i	$-0.200616\pi$
$5$	4.03739	−	1.46949i	1.80557	−	0.657175i	0.997697	−	0.0678243i	$-0.0216057\pi$
$6$	−1.21101	−	1.23833i	−0.494393	−	0.505545i
$7$	−0.457883	−	2.59679i	−0.173064	−	0.981493i	−0.940355	−	0.340194i	$-0.889507\pi$
$7$	−0.457883	−	2.59679i	−0.173064	−	0.981493i	0.767292	−	0.641298i	$-0.221604\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−2.96531	+	0.454921i	−0.988436	+	0.151640i
$10$	−2.14825	+	3.72088i	−0.679336	+	1.17664i
$11$	−0.0812511	−	0.0295730i	−0.0244981	−	0.00891659i	0.329742	−	0.944071i	$-0.393038\pi$
$11$	−0.0812511	−	0.0295730i	−0.0244981	−	0.00891659i	−0.354240	+	0.935154i	$0.615260\pi$
$12$	1.72367	+	0.170192i	0.497580	+	0.0491301i
$13$	0.766044	+	0.642788i	0.212463	+	0.178277i
$13$	0.766044	+	0.642788i	0.212463	+	0.178277i
$14$	2.01994	+	1.69493i	0.539852	+	0.452989i
$15$	3.06961	+	6.77917i	0.792569	+	1.75037i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	2.50398	−	4.33702i	0.607304	−	1.05188i	−0.384379	−	0.923176i	$-0.625584\pi$
$17$	2.50398	−	4.33702i	0.607304	−	1.05188i	0.991683	−	0.128706i	$-0.0410824\pi$
$18$	1.97914	−	2.25455i	0.466488	−	0.531403i
$19$	0.573797	+	0.993846i	0.131638	+	0.228004i	0.924308	−	0.381647i	$-0.124643\pi$
$19$	0.573797	+	0.993846i	0.131638	+	0.228004i	−0.792670	+	0.609651i	$0.791310\pi$
$20$	−0.746079	−	4.23122i	−0.166828	−	0.946130i
$21$	4.42444	−	1.13279i	0.965491	−	0.247196i
$22$	0.0812511	−	0.0295730i	0.0173228	−	0.00630498i
$23$	−0.798945	+	4.53104i	−0.166592	+	0.944788i	0.780817	+	0.624760i	$0.214803\pi$
$23$	−0.798945	+	4.53104i	−0.166592	+	0.944788i	−0.947408	+	0.320028i	$0.896308\pi$
$24$	−1.42980	+	0.977579i	−0.291858	+	0.199547i
$25$	10.3109	−	8.65185i	2.06217	−	1.73037i
$26$	−1.00000			−0.196116
$27$	−1.17621	−	5.06128i	−0.226362	−	0.974043i
$28$	−2.63684			−0.498317
$29$	5.24320	−	4.39957i	0.973638	−	0.816980i	−0.00947915	−	0.999955i	$-0.503017\pi$
$29$	5.24320	−	4.39957i	0.973638	−	0.816980i	0.983117	+	0.182976i	$0.0585729\pi$
$30$	−6.70902	−	3.22004i	−1.22489	−	0.587897i
$31$	0.0321683	−	0.182436i	0.00577760	−	0.0327664i	−0.981783	−	0.190007i	$-0.939149\pi$
$31$	0.0321683	−	0.182436i	0.00577760	−	0.0327664i	0.987560	+	0.157241i	$0.0502599\pi$
$32$	0.939693	−	0.342020i	0.166116	−	0.0604612i
$33$	0.0403724	−	0.144219i	0.00702793	−	0.0251052i
$34$	0.869623	+	4.93188i	0.149139	+	0.845810i
$35$	−5.66460	−	9.81137i	−0.957492	−	1.65842i
$36$	−0.0669102	+	2.99925i	−0.0111517	+	0.499876i
$37$	−1.87950	+	3.25539i	−0.308988	+	0.535183i	−0.978141	−	0.207942i	$-0.933324\pi$
$37$	−1.87950	+	3.25539i	−0.308988	+	0.535183i	0.669153	+	0.743124i	$0.266657\pi$
$38$	−1.07839	−	0.392500i	−0.174937	−	0.0636720i
$39$	−1.00922	+	1.40765i	−0.161605	+	0.225404i
$40$	3.29131	+	2.76174i	0.520401	+	0.436669i
$41$	−2.44841	−	2.05446i	−0.382378	−	0.320853i	0.431257	−	0.902229i	$-0.358070\pi$
$41$	−2.44841	−	2.05446i	−0.382378	−	0.320853i	−0.813635	+	0.581376i	$0.802515\pi$
$42$	−2.66117	+	3.71174i	−0.410627	+	0.572734i
$43$	10.4751	+	3.81263i	1.59744	+	0.581420i	0.978901	−	0.204334i	$-0.0655029\pi$
$43$	10.4751	+	3.81263i	1.59744	+	0.581420i	0.618538	+	0.785755i	$0.287725\pi$
$44$	−0.0432328	+	0.0748814i	−0.00651759	+	0.0112888i
$45$	−11.3036	+	6.19418i	−1.68504	+	0.923374i
$46$	−2.30047	−	3.98453i	−0.339186	−	0.587487i
$47$	−0.816983	−	4.63334i	−0.119169	−	0.675842i	−0.984601	−	0.174816i	$-0.944067\pi$
$47$	−0.816983	−	4.63334i	−0.119169	−	0.675842i	0.865432	−	0.501027i	$-0.167044\pi$
$48$	0.466918	−	1.66793i	0.0673938	−	0.240745i
$49$	0.0442115	−	0.0160917i	0.00631592	−	0.00229881i
$50$	−2.33729	+	13.2554i	−0.330542	+	1.87460i
$51$	7.81998	+	3.75325i	1.09502	+	0.525560i
$52$	0.766044	−	0.642788i	0.106231	−	0.0891386i
$53$	−6.63578			−0.911494			−0.455747	−	0.890109i	$-0.650628\pi$
$53$	−6.63578			−0.911494			−0.455747	+	0.890109i	$0.650628\pi$
$54$	4.15436	+	3.12111i	0.565336	+	0.424729i
$55$	−0.371499			−0.0500930
$56$	2.01994	−	1.69493i	0.269926	−	0.226495i
$57$	−1.64083	+	1.12186i	−0.217334	+	0.148594i
$58$	−1.18854	+	6.74053i	−0.156063	+	0.885075i
$59$	−3.35716	+	1.22190i	−0.437064	+	0.159078i	−0.551175	−	0.834390i	$-0.685820\pi$
$59$	−3.35716	+	1.22190i	−0.437064	+	0.159078i	0.114111	+	0.993468i	$0.463598\pi$
$60$	7.20921	−	1.84578i	0.930705	−	0.238289i
$61$	2.50953	+	14.2323i	0.321313	+	1.82225i	0.534412	+	0.845224i	$0.320533\pi$
$61$	2.50953	+	14.2323i	0.321313	+	1.82225i	−0.213099	+	0.977031i	$0.568356\pi$
$62$	0.0926250	+	0.160431i	0.0117634	+	0.0203748i
$63$	2.53910	+	7.49197i	0.319896	+	0.943899i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	4.03739	+	1.46949i	0.500776	+	0.182268i
$66$	0.0617749	+	0.136429i	0.00760396	+	0.0167932i
$67$	−2.88658	−	2.42213i	−0.352652	−	0.295910i	0.449202	−	0.893430i	$-0.351708\pi$
$67$	−2.88658	−	2.42213i	−0.352652	−	0.295910i	−0.801854	+	0.597520i	$0.796153\pi$
$68$	−3.83632	−	3.21905i	−0.465222	−	0.390368i
$69$	−7.93050	−	0.783042i	−0.954720	−	0.0942672i
$70$	10.6460	+	3.87481i	1.27244	+	0.463129i
$71$	−2.88684	+	5.00016i	−0.342605	+	0.593410i	−0.984916	−	0.173035i	$-0.944643\pi$
$71$	−2.88684	+	5.00016i	−0.342605	+	0.593410i	0.642310	+	0.766445i	$0.277976\pi$
$72$	−1.87663	−	2.34057i	−0.221163	−	0.275839i
$73$	6.76607	+	11.7192i	0.791908	+	1.37163i	0.924784	+	0.380492i	$0.124245\pi$
$73$	6.76607	+	11.7192i	0.791908	+	1.37163i	−0.132876	+	0.991133i	$0.542421\pi$
$74$	−0.652744	−	3.70189i	−0.0758799	−	0.430336i
$75$	16.3001	+	16.6678i	1.88217	+	1.92463i
$76$	1.07839	−	0.392500i	0.123699	−	0.0450229i
$77$	−0.0395912	+	0.224533i	−0.00451183	+	0.0255879i
$78$	−0.131706	−	1.72704i	−0.0149127	−	0.195548i
$79$	4.55880	−	3.82529i	0.512905	−	0.430379i	−0.349245	−	0.937032i	$-0.613562\pi$
$79$	4.55880	−	3.82529i	0.512905	−	0.430379i	0.862150	+	0.506653i	$0.169117\pi$
$80$	−4.29650			−0.480363
$81$	8.58609	−	2.69796i	0.954010	−	0.299774i
$82$	3.19618			0.352959
$83$	−10.7437	+	9.01506i	−1.17928	+	0.989532i	−0.179295	+	0.983795i	$0.557382\pi$
$83$	−10.7437	+	9.01506i	−1.17928	+	0.989532i	−0.999984	+	0.00573645i	$0.998174\pi$
$84$	−0.347288	−	4.55393i	−0.0378922	−	0.496874i
$85$	3.73633	−	21.1898i	0.405262	−	2.29836i
$86$	−10.4751	+	3.81263i	−1.12956	+	0.411126i
$87$	8.28878	+	8.47575i	0.888650	+	0.908696i
$88$	−0.0150146	−	0.0851520i	−0.00160056	−	0.00907724i
$89$	0.856441	+	1.48340i	0.0907826	+	0.157240i	0.907841	−	0.419315i	$-0.137730\pi$
$89$	0.856441	+	1.48340i	0.0907826	+	0.157240i	−0.817058	+	0.576555i	$0.804396\pi$
$90$	4.67751	−	12.0108i	0.493053	−	1.26605i
$91$	1.31842	−	2.28357i	0.138208	−	0.239384i
$92$	4.32347	+	1.57361i	0.450753	+	0.164061i
$93$	0.319310	+	0.0315280i	0.0331109	+	0.00326930i
$94$	3.60410	+	3.02420i	0.371735	+	0.311922i
$95$	3.77709	+	3.16935i	0.387521	+	0.325169i
$96$	0.714444	+	1.57784i	0.0729176	+	0.161037i
$97$	−2.77672	−	1.01064i	−0.281933	−	0.102615i	0.197183	−	0.980367i	$-0.436821\pi$
$97$	−2.77672	−	1.01064i	−0.281933	−	0.102615i	−0.479116	+	0.877751i	$0.659043\pi$
$98$	−0.0235244	+	0.0407455i	−0.00237633	+	0.00411592i
$99$	0.254388	+	0.0507301i	0.0255669	+	0.00509857i
$100$	−6.72995	−	11.6566i	−0.672995	−	1.16566i
$101$	−2.90698	−	16.4863i	−0.289255	−	1.64045i	−0.689678	−	0.724116i	$-0.742248\pi$
$101$	−2.90698	−	16.4863i	−0.289255	−	1.64045i	0.400423	−	0.916330i	$-0.368863\pi$
$102$	−8.40299	+	2.15143i	−0.832020	+	0.213023i
$103$	−9.07254	+	3.30213i	−0.893944	+	0.325369i	−0.747823	−	0.663898i	$-0.768901\pi$
$103$	−9.07254	+	3.30213i	−0.893944	+	0.325369i	−0.146121	+	0.989267i	$0.546679\pi$
$104$	−0.173648	+	0.984808i	−0.0170276	+	0.0965683i
$105$	16.1985	−	11.0752i	1.58082	−	1.08083i
$106$	5.08330	−	4.26540i	0.493734	−	0.414292i
$107$	−18.0792			−1.74778			−0.873891	−	0.486121i	$-0.838411\pi$
$107$	−18.0792			−1.74778			−0.873891	+	0.486121i	$0.838411\pi$
$108$	−5.18863	+	0.279463i	−0.499276	+	0.0268913i
$109$	−13.2686			−1.27091			−0.635453	−	0.772140i	$-0.719187\pi$
$109$	−13.2686			−1.27091			−0.635453	+	0.772140i	$0.719187\pi$
$110$	0.284585	−	0.238795i	0.0271341	−	0.0227682i
$111$	−5.86972	−	2.81721i	−0.557129	−	0.267398i
$112$	−0.457883	+	2.59679i	−0.0432659	+	0.245373i
$113$	5.35145	−	1.94777i	0.503422	−	0.183231i	−0.0778106	−	0.996968i	$-0.524793\pi$
$113$	5.35145	−	1.94777i	0.503422	−	0.183231i	0.581232	+	0.813738i	$0.302571\pi$
$114$	0.535833	−	1.91411i	0.0501853	−	0.179272i
$115$	3.43267	+	19.4676i	0.320098	+	1.81536i
$116$	−3.42226	−	5.92752i	−0.317749	−	0.550357i
$117$	−2.56397	−	1.55757i	−0.237040	−	0.143998i
$118$	1.78631	−	3.09397i	0.164443	−	0.284823i
$119$	−12.4088	−	4.51645i	−1.13752	−	0.414022i
$120$	−4.33613	+	6.04794i	−0.395833	+	0.552099i
$121$	−8.42076	−	7.06586i	−0.765524	−	0.642351i
$122$	−11.0707	−	9.28945i	−1.00230	−	0.841027i
$123$	3.22566	−	4.49908i	0.290848	−	0.405669i
$124$	−0.174078	−	0.0633592i	−0.0156327	−	0.00568982i
$125$	18.1740	−	31.4782i	1.62553	−	2.81550i
$126$	−6.76080	−	4.10708i	−0.602300	−	0.365888i
$127$	6.82177	+	11.8157i	0.605334	+	1.04847i	0.991999	+	0.126249i	$0.0402938\pi$
$127$	6.82177	+	11.8157i	0.605334	+	1.04847i	−0.386664	+	0.922220i	$0.626373\pi$
$128$	−0.173648	−	0.984808i	−0.0153485	−	0.0870455i
$129$	−5.20491	+	18.5930i	−0.458267	+	1.63703i
$130$	−4.03739	+	1.46949i	−0.354102	+	0.128883i
$131$	−0.357617	+	2.02815i	−0.0312451	+	0.177200i	−0.996437	−	0.0843440i	$-0.973121\pi$
$131$	−0.357617	+	2.02815i	−0.0312451	+	0.177200i	0.965192	+	0.261544i	$0.0842317\pi$
$132$	−0.135017	−	0.0648023i	−0.0117517	−	0.00564032i
$133$	2.31807	−	1.94509i	0.201002	−	0.168661i
$134$	3.76817			0.325520
$135$	−12.1863	−	18.7059i	−1.04883	−	1.60995i
$136$	5.00796			0.429429
$137$	4.85967	−	4.07775i	0.415190	−	0.348386i	−0.411140	−	0.911572i	$-0.634869\pi$
$137$	4.85967	−	4.07775i	0.415190	−	0.348386i	0.826330	+	0.563187i	$0.190425\pi$
$138$	6.57845	−	4.49778i	0.559994	−	0.382877i
$139$	−1.27523	+	7.23216i	−0.108163	+	0.613424i	0.881746	+	0.471724i	$0.156368\pi$
$139$	−1.27523	+	7.23216i	−0.108163	+	0.613424i	−0.989910	+	0.141700i	$0.954743\pi$
$140$	−10.6460	+	3.87481i	−0.899748	+	0.327482i
$141$	7.89435	−	2.02120i	0.664824	−	0.170216i
$142$	−1.00259	−	5.68597i	−0.0841355	−	0.477156i
$143$	−0.0432328	−	0.0748814i	−0.00361531	−	0.00626190i
$144$	2.94207	+	0.586709i	0.245172	+	0.0488924i
$145$	14.7037	−	25.4676i	1.22108	−	2.11497i
$146$	−12.7160	−	4.62826i	−1.05239	−	0.383038i
$147$	0.0336138	+	0.0742354i	0.00277242	+	0.00612283i
$148$	2.87956	+	2.41624i	0.236698	+	0.198614i
$149$	−7.57122	−	6.35301i	−0.620258	−	0.520459i	0.277626	−	0.960689i	$-0.410452\pi$
$149$	−7.57122	−	6.35301i	−0.620258	−	0.520459i	−0.897885	+	0.440230i	$0.854897\pi$
$150$	−23.2004	−	2.29076i	−1.89430	−	0.187040i
$151$	−4.44512	−	1.61789i	−0.361739	−	0.131662i	0.154756	−	0.987953i	$-0.450541\pi$
$151$	−4.44512	−	1.61789i	−0.361739	−	0.131662i	−0.516494	+	0.856291i	$0.672763\pi$
$152$	−0.573797	+	0.993846i	−0.0465411	+	0.0806115i
$153$	−5.45206	+	13.9997i	−0.440773	+	1.13181i
$154$	−0.113998	−	0.197451i	−0.00918624	−	0.0159110i
$155$	−0.138211	−	0.783834i	−0.0111014	−	0.0629591i
$156$	1.21101	+	1.23833i	0.0969584	+	0.0991456i
$157$	−7.29457	+	2.65501i	−0.582170	+	0.211892i	−0.616282	−	0.787526i	$-0.711362\pi$
$157$	−7.29457	+	2.65501i	−0.582170	+	0.211892i	0.0341122	+	0.999418i	$0.489140\pi$
$158$	−1.03340	+	5.86068i	−0.0822126	+	0.466251i
$159$	−0.873970	−	11.4602i	−0.0693104	−	0.908855i
$160$	3.29131	−	2.76174i	0.260201	−	0.218334i
$161$	12.1320			0.956133
$162$	−4.84311	+	7.58579i	−0.380511	+	0.595996i
$163$	1.60811			0.125957			0.0629786	−	0.998015i	$-0.479940\pi$
$163$	1.60811			0.125957			0.0629786	+	0.998015i	$0.479940\pi$
$164$	−2.44841	+	2.05446i	−0.191189	+	0.160427i
$165$	−0.0489286	−	0.641593i	−0.00380909	−	0.0499479i
$166$	2.43541	−	13.8119i	0.189024	−	1.07201i
$167$	14.3918	−	5.23820i	1.11367	−	0.405344i	0.281334	−	0.959610i	$-0.409223\pi$
$167$	14.3918	−	5.23820i	1.11367	−	0.405344i	0.832340	+	0.554265i	$0.187001\pi$
$168$	3.19325	+	3.26528i	0.246364	+	0.251922i
$169$	0.173648	+	0.984808i	0.0133576	+	0.0757544i
$170$	10.7583	+	18.6340i	0.825127	+	1.42916i
$171$	−2.15361	−	2.68603i	−0.164690	−	0.205405i
$172$	5.57369	−	9.65392i	0.424990	−	0.736104i
$173$	4.36777	+	1.58974i	0.332076	+	0.120866i	0.502677	−	0.864475i	$-0.332349\pi$
$173$	4.36777	+	1.58974i	0.332076	+	0.120866i	−0.170601	+	0.985340i	$0.554571\pi$
$174$	−11.7977	−	1.16488i	−0.894380	−	0.0883093i
$175$	−27.1882	−	22.8136i	−2.05523	−	1.72455i
$176$	0.0662365	+	0.0555790i	0.00499277	+	0.00418943i
$177$	−2.55243	−	5.63700i	−0.191852	−	0.423703i
$178$	−1.60958	−	0.585840i	−0.120643	−	0.0439106i
$179$	−9.95670	+	17.2455i	−0.744199	+	1.28899i	0.206369	+	0.978474i	$0.433835\pi$
$179$	−9.95670	+	17.2455i	−0.744199	+	1.28899i	−0.950568	+	0.310516i	$0.899498\pi$
$180$	4.13723	+	12.2075i	0.308371	+	0.909891i
$181$	7.99556	+	13.8487i	0.594305	+	1.02937i	0.993644	+	0.112564i	$0.0359063\pi$
$181$	7.99556	+	13.8487i	0.594305	+	1.02937i	−0.399339	+	0.916803i	$0.630760\pi$
$182$	0.457883	+	2.59679i	0.0339406	+	0.192487i
$183$	−24.2491	+	6.20852i	−1.79255	+	0.458947i
$184$	−4.32347	+	1.57361i	−0.318730	+	0.116008i
$185$	−2.80451	+	15.9052i	−0.206192	+	1.16937i
$186$	−0.264871	+	0.181096i	−0.0194213	+	0.0132786i
$187$	−0.331710	+	0.278337i	−0.0242570	+	0.0203541i
$188$	−4.70482			−0.343134
$189$	−12.6045	+	5.37185i	−0.916841	+	0.390744i
$190$	−4.93064			−0.357706
$191$	6.77400	−	5.68406i	0.490149	−	0.411284i	−0.363930	−	0.931426i	$-0.618565\pi$
$191$	6.77400	−	5.68406i	0.490149	−	0.411284i	0.854080	+	0.520142i	$0.174121\pi$
$192$	−1.56151	−	0.749457i	−0.112692	−	0.0540874i
$193$	−3.46948	+	19.6764i	−0.249739	+	1.41634i	0.559485	+	0.828840i	$0.310999\pi$
$193$	−3.46948	+	19.6764i	−0.249739	+	1.41634i	−0.809224	+	0.587500i	$0.800112\pi$
$194$	2.77672	−	1.01064i	0.199357	−	0.0725598i
$195$	−2.00611	+	7.16625i	−0.143661	+	0.513186i
$196$	−0.00816995	−	0.0463341i	−0.000583568	−	0.00330958i
$197$	2.91638	+	5.05131i	0.207783	+	0.359891i	0.951016	−	0.309142i	$-0.100042\pi$
$197$	2.91638	+	5.05131i	0.207783	+	0.359891i	−0.743233	+	0.669033i	$0.766708\pi$
$198$	−0.227481	+	0.124656i	−0.0161664	+	0.00885891i
$199$	11.8166	−	20.4669i	0.837656	−	1.45086i	−0.0541943	−	0.998530i	$-0.517259\pi$
$199$	11.8166	−	20.4669i	0.837656	−	1.45086i	0.891850	−	0.452332i	$-0.149408\pi$
$200$	12.6482	+	4.60355i	0.894360	+	0.325520i
$201$	3.80293	−	5.30424i	0.268238	−	0.374132i
$202$	12.8241	+	10.7607i	0.902297	+	0.757117i
$203$	−13.8255	−	11.6010i	−0.970361	−	0.814229i
$204$	5.05416	−	7.04943i	0.353862	−	0.493559i
$205$	−12.9042	−	4.69674i	−0.901268	−	0.328035i
$206$	4.82740	−	8.36130i	0.336341	−	0.582559i
$207$	0.307850	−	13.7994i	0.0213970	−	0.959124i
$208$	−0.500000	−	0.866025i	−0.0346688	−	0.0600481i
$209$	−0.0172307	−	0.0977200i	−0.00119187	−	0.00675943i
$210$	−5.28981	+	18.8963i	−0.365031	+	1.30397i
$211$	−25.0923	+	9.13284i	−1.72742	+	0.628730i	−0.998442	−	0.0558037i	$-0.982228\pi$
$211$	−25.0923	+	9.13284i	−1.72742	+	0.628730i	−0.728981	+	0.684534i	$0.760006\pi$
$212$	−1.15229	+	6.53497i	−0.0791397	+	0.448823i
$213$	−9.01567	−	4.32713i	−0.617744	−	0.296490i
$214$	13.8495	−	11.6211i	0.946731	−	0.794401i
$215$	47.8947			3.26639
$216$	3.79509	−	3.54927i	0.258223	−	0.241497i
$217$	−0.488475			−0.0331599
$218$	10.1644	−	8.52892i	0.688418	−	0.577651i
$219$	−19.3483	+	13.2287i	−1.30744	+	0.893914i
$220$	−0.0645102	+	0.365855i	−0.00434928	+	0.0246660i
$221$	4.70594	−	1.71282i	0.316556	−	0.115217i
$222$	6.30733	−	1.61487i	0.423320	−	0.108383i
$223$	−2.70959	−	15.3668i	−0.181447	−	1.02904i	−0.930436	−	0.366455i	$-0.880571\pi$
$223$	−2.70959	−	15.3668i	−0.181447	−	1.02904i	0.748988	−	0.662583i	$-0.230540\pi$
$224$	−1.31842	−	2.28357i	−0.0880908	−	0.152578i
$225$	−26.6390	+	30.3460i	−1.77593	+	2.02307i
$226$	−2.84745	+	4.93192i	−0.189409	+	0.328066i
$227$	12.4602	+	4.53513i	0.827010	+	0.301007i	0.720631	−	0.693319i	$-0.243852\pi$
$227$	12.4602	+	4.53513i	0.827010	+	0.301007i	0.106379	+	0.994326i	$0.466074\pi$
$228$	0.819892	+	1.81072i	0.0542987	+	0.119918i
$229$	−13.9845	−	11.7344i	−0.924123	−	0.775432i	0.0506296	−	0.998717i	$-0.483877\pi$
$229$	−13.9845	−	11.7344i	−0.924123	−	0.775432i	−0.974753	+	0.223286i	$0.928322\pi$
$230$	−15.1431	−	12.7066i	−0.998507	−	0.837847i
$231$	−0.392990	−	0.0388031i	−0.0258569	−	0.00255306i
$232$	6.43174	+	2.34096i	0.422264	+	0.153692i
$233$	8.79653	−	15.2360i	0.576280	−	0.998146i	−0.419621	−	0.907699i	$-0.637837\pi$
$233$	8.79653	−	15.2360i	0.576280	−	0.998146i	0.995901	−	0.0904470i	$-0.0288296\pi$
$234$	2.96531	−	0.454921i	0.193848	−	0.0297391i
$235$	−10.1071	−	17.5060i	−0.659316	−	1.14197i
$236$	0.620377	+	3.51833i	0.0403831	+	0.229024i
$237$	7.20683	+	7.36940i	0.468134	+	0.478694i
$238$	12.4088	−	4.51645i	0.804345	−	0.292758i
$239$	0.940628	−	5.33456i	0.0608441	−	0.345064i	−0.939155	−	0.343495i	$-0.888389\pi$
$239$	0.940628	−	5.33456i	0.0608441	−	0.345064i	0.999999	−	0.00156961i	$-0.000499621\pi$
$240$	−0.565874	−	7.42021i	−0.0365270	−	0.478972i
$241$	18.2502	−	15.3137i	1.17560	−	0.986443i	0.175600	−	0.984462i	$-0.443814\pi$
$241$	18.2502	−	15.3137i	1.17560	−	0.986443i	0.999998	−	0.00198179i	$-0.000630824\pi$
$242$	10.9925			0.706626
$243$	5.79032	+	14.4732i	0.371449	+	0.928453i
$244$	14.4518			0.925183
$245$	0.154852	−	0.129936i	0.00989315	−	0.00830134i
$246$	0.420955	+	5.51991i	0.0268391	+	0.351937i
$247$	−0.199278	+	1.13016i	−0.0126797	+	0.0719103i
$248$	0.174078	−	0.0633592i	0.0110540	−	0.00402331i
$249$	−16.9844	−	17.3675i	−1.07634	−	1.10062i
$250$	6.31175	+	35.7957i	0.399190	+	2.26392i
$251$	−2.31952	−	4.01753i	−0.146407	−	0.253584i	0.783490	−	0.621404i	$-0.213438\pi$
$251$	−2.31952	−	4.01753i	−0.146407	−	0.253584i	−0.929897	+	0.367820i	$0.880104\pi$
$252$	7.81906	−	1.19956i	0.492554	−	0.0755650i
$253$	0.198912	−	0.344525i	0.0125055	−	0.0216601i
$254$	−12.8207	−	4.66637i	−0.804444	−	0.292794i
$255$	37.0876	+	3.66196i	2.32252	+	0.229321i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	1.79243	+	1.50403i	0.111809	+	0.0938188i	0.696978	−	0.717092i	$-0.254527\pi$
$257$	1.79243	+	1.50403i	0.111809	+	0.0938188i	−0.585169	+	0.810911i	$0.698972\pi$
$258$	−7.96418	−	17.5888i	−0.495828	−	1.09503i
$259$	9.31414	+	3.39007i	0.578752	+	0.210649i
$260$	2.14825	−	3.72088i	0.133229	−	0.230759i
$261$	−13.5462	+	15.4313i	−0.838492	+	0.955175i
$262$	−1.02972	−	1.78352i	−0.0636161	−	0.110186i
$263$	4.51176	+	25.5875i	0.278207	+	1.57779i	0.728587	+	0.684953i	$0.240177\pi$
$263$	4.51176	+	25.5875i	0.278207	+	1.57779i	−0.450380	+	0.892837i	$0.648711\pi$
$264$	0.145083	−	0.0371458i	0.00892925	−	0.00228616i
$265$	−26.7912	+	9.75120i	−1.64577	+	0.599012i
$266$	−0.525464	+	2.98006i	−0.0322183	+	0.182719i
$267$	−2.44909	+	1.67448i	−0.149882	+	0.102476i
$268$	−2.88658	+	2.42213i	−0.176326	+	0.147955i
$269$	−21.8675			−1.33329			−0.666644	−	0.745377i	$-0.732270\pi$
$269$	−21.8675			−1.33329			−0.666644	+	0.745377i	$0.732270\pi$
$270$	21.3592	+	6.49634i	1.29988	+	0.395354i
$271$	−24.5511			−1.49138			−0.745688	−	0.666296i	$-0.767879\pi$
$271$	−24.5511			−1.49138			−0.745688	+	0.666296i	$0.767879\pi$
$272$	−3.83632	+	3.21905i	−0.232611	+	0.195184i
$273$	4.11746	+	1.97620i	0.249200	+	0.119605i
$274$	−1.10160	+	6.24747i	−0.0665500	+	0.377424i
$275$	−1.09363	+	0.398049i	−0.0659484	+	0.0240033i
$276$	−2.14826	+	7.67404i	−0.129310	+	0.461923i
$277$	1.20562	+	6.83739i	0.0724385	+	0.410819i	0.999367	+	0.0355806i	$0.0113280\pi$
$277$	1.20562	+	6.83739i	0.0724385	+	0.410819i	−0.926928	+	0.375238i	$0.877561\pi$
$278$	−3.67187	−	6.35986i	−0.220224	−	0.381439i
$279$	−0.0123951	+	0.555612i	−0.000742076	+	0.0332636i
$280$	5.66460	−	9.81137i	0.338525	−	0.586342i
$281$	−9.18187	−	3.34193i	−0.547744	−	0.199363i	0.0532998	−	0.998579i	$-0.483026\pi$
$281$	−9.18187	−	3.34193i	−0.547744	−	0.199363i	−0.601044	+	0.799216i	$0.705248\pi$
$282$	−4.74822	+	6.62272i	−0.282752	+	0.394377i
$283$	18.8133	+	15.7862i	1.11833	+	0.938394i	0.998519	−	0.0544021i	$-0.0173253\pi$
$283$	18.8133	+	15.7862i	1.11833	+	0.938394i	0.119815	+	0.992796i	$0.461770\pi$
$284$	4.42290	+	3.71125i	0.262451	+	0.220222i
$285$	−4.97612	+	6.94059i	−0.294760	+	0.411125i
$286$	0.0812511	+	0.0295730i	0.00480448	+	0.00174869i
$287$	−4.21391	+	7.29871i	−0.248739	+	0.430829i
$288$	−2.63089	+	1.44168i	−0.155026	+	0.0849519i
$289$	−4.03982	−	6.99717i	−0.237637	−	0.411598i
$290$	5.10655	+	28.9607i	0.299867	+	1.70063i
$291$	1.37971	−	4.92859i	0.0808797	−	0.288919i
$292$	12.7160	−	4.62826i	0.744150	−	0.270849i
$293$	−4.81107	+	27.2850i	−0.281066	+	1.59400i	0.437943	+	0.899003i	$0.355707\pi$
$293$	−4.81107	+	27.2850i	−0.281066	+	1.59400i	−0.719009	+	0.695001i	$0.755404\pi$
$294$	−0.0734672	−	0.0352611i	−0.00428470	−	0.00205647i
$295$	−11.7586	+	9.86661i	−0.684610	+	0.574456i
$296$	−3.75900			−0.218487
$297$	−0.0541084	+	0.446019i	−0.00313969	+	0.0258806i
$298$	9.88352			0.572537
$299$	−3.52453	+	2.95743i	−0.203829	+	0.171032i
$300$	19.2450	−	13.1581i	1.11111	−	0.759683i
$301$	5.10420	−	28.9474i	0.294201	−	1.66850i
$302$	4.44512	−	1.61789i	0.255788	−	0.0930992i
$303$	28.0895	−	7.19179i	1.61370	−	0.413158i
$304$	−0.199278	−	1.13016i	−0.0114294	−	0.0648191i
$305$	31.0461	+	53.7734i	1.77769	+	3.07906i
$306$	−4.82231	−	14.2289i	−0.275673	−	0.813413i
$307$	−2.23252	+	3.86684i	−0.127417	+	0.220692i	−0.922675	−	0.385578i	$-0.874002\pi$
$307$	−2.23252	+	3.86684i	−0.127417	+	0.220692i	0.795258	+	0.606271i	$0.207335\pi$
$308$	0.214247	+	0.0779794i	0.0122078	+	0.00444329i
$309$	−6.89781	−	15.2337i	−0.392403	−	0.866615i
$310$	0.609715	+	0.511611i	0.0346295	+	0.0290576i
$311$	−9.85723	−	8.27120i	−0.558952	−	0.469017i	0.319007	−	0.947752i	$-0.396651\pi$
$311$	−9.85723	−	8.27120i	−0.558952	−	0.469017i	−0.877959	+	0.478736i	$0.841095\pi$
$312$	−1.72367	−	0.170192i	−0.0975835	−	0.00963521i
$313$	−21.0658	−	7.66734i	−1.19071	−	0.433384i	−0.330738	−	0.943722i	$-0.607298\pi$
$313$	−21.0658	−	7.66734i	−1.19071	−	0.433384i	−0.859973	+	0.510339i	$0.829520\pi$
$314$	3.88136	−	6.72271i	0.219038	−	0.379384i
$315$	21.2607	+	26.5168i	1.19790	+	1.49405i
$316$	−2.97555	−	5.15380i	−0.167388	−	0.289924i
$317$	−5.95618	−	33.7792i	−0.334532	−	1.89723i	−0.431801	−	0.901969i	$-0.642122\pi$
$317$	−5.95618	−	33.7792i	−0.334532	−	1.89723i	0.0972691	−	0.995258i	$-0.468989\pi$
$318$	8.03599	+	8.21727i	0.450636	+	0.460801i
$319$	−0.556125	+	0.202413i	−0.0311370	+	0.0113329i
$320$	−0.746079	+	4.23122i	−0.0417071	+	0.236533i
$321$	−2.38114	−	31.2234i	−0.132902	−	1.74272i
$322$	−9.29363	+	7.79828i	−0.517914	+	0.434581i
$323$	5.74710			0.319777
$324$	−1.16602	−	8.92415i	−0.0647786	−	0.495786i
$325$	13.4599			0.746620
$326$	−1.23189	+	1.03367i	−0.0682278	+	0.0572500i
$327$	−1.74756	−	22.9154i	−0.0966402	−	1.26723i
$328$	0.555010	−	3.14762i	0.0306453	−	0.173798i
$329$	−11.6577	+	4.24306i	−0.642711	+	0.233927i
$330$	0.449889	+	0.460038i	0.0247656	+	0.0253243i
$331$	−2.18749	−	12.4059i	−0.120235	−	0.681887i	−0.984024	−	0.178034i	$-0.943026\pi$
$331$	−2.18749	−	12.4059i	−0.120235	−	0.681887i	0.863789	−	0.503853i	$-0.168085\pi$
$332$	7.01248	+	12.1460i	0.384860	+	0.666596i
$333$	4.09235	−	10.5083i	0.224259	−	0.575849i
$334$	−7.65774	+	13.2636i	−0.419013	+	0.725752i
$335$	−15.2135	−	5.53728i	−0.831205	−	0.302534i
$336$	−4.54505	−	0.448769i	−0.247953	−	0.0244824i
$337$	18.4486	+	15.4802i	1.00496	+	0.843262i	0.987664	−	0.156589i	$-0.0500497\pi$
$337$	18.4486	+	15.4802i	1.00496	+	0.843262i	0.0172962	+	0.999850i	$0.494494\pi$
$338$	−0.766044	−	0.642788i	−0.0416673	−	0.0349630i
$339$	4.06868	+	8.98561i	0.220980	+	0.488031i
$340$	−20.2191	−	7.35914i	−1.09653	−	0.399105i
$341$	−0.00800888	+	0.0138718i	−0.000433705	+	0.000751199i
$342$	3.37630	+	0.673303i	0.182569	+	0.0364081i
$343$	−9.29099	−	16.0925i	−0.501666	−	0.868911i
$344$	1.93572	+	10.9780i	0.104367	+	0.591896i
$345$	−33.1692	+	8.49233i	−1.78577	+	0.457212i
$346$	−4.36777	+	1.58974i	−0.234813	+	0.0854649i
$347$	1.26608	−	7.18029i	0.0679667	−	0.385458i	−0.931782	−	0.363020i	$-0.881746\pi$
$347$	1.26608	−	7.18029i	0.0679667	−	0.385458i	0.999748	−	0.0224387i	$-0.00714307\pi$
$348$	9.78632	−	6.69105i	0.524602	−	0.358678i
$349$	−5.88922	+	4.94165i	−0.315243	+	0.264520i	−0.786655	−	0.617393i	$-0.788189\pi$
$349$	−5.88922	+	4.94165i	−0.315243	+	0.264520i	0.471412	+	0.881913i	$0.343744\pi$
$350$	35.4916			1.89711
$351$	2.35229	−	4.63322i	0.125556	−	0.247303i
$352$	−0.0864656			−0.00460863
$353$	−5.08250	+	4.26472i	−0.270514	+	0.226988i	−0.767946	−	0.640515i	$-0.778721\pi$
$353$	−5.08250	+	4.26472i	−0.270514	+	0.226988i	0.497432	+	0.867503i	$0.334277\pi$
$354$	5.57867	+	2.67752i	0.296503	+	0.142309i
$355$	−4.30763	+	24.4298i	−0.228625	+	1.29660i
$356$	1.60958	−	0.585840i	0.0853077	−	0.0310495i
$357$	6.16575	−	22.0254i	0.326326	−	1.16571i
$358$	−3.45793	−	19.6109i	−0.182757	−	1.03647i
$359$	−9.64810	−	16.7110i	−0.509207	−	0.881973i	−0.999943	−	0.0106644i	$-0.996605\pi$
$359$	−9.64810	−	16.7110i	−0.509207	−	0.881973i	0.490736	−	0.871308i	$-0.336728\pi$
$360$	−11.0161	−	6.69211i	−0.580600	−	0.352705i
$361$	8.84151	−	15.3140i	0.465343	−	0.805997i
$362$	−15.0267	−	5.46929i	−0.789788	−	0.287459i
$363$	11.0939	−	15.4736i	0.582280	−	0.812152i
$364$	−2.01994	−	1.69493i	−0.105874	−	0.0888385i
$365$	44.5384	+	37.3722i	2.33125	+	1.95615i
$366$	14.5851	−	20.3430i	0.762377	−	1.06335i
$367$	22.4172	+	8.15920i	1.17017	+	0.425907i	0.852720	−	0.522368i	$-0.174951\pi$
$367$	22.4172	+	8.15920i	1.17017	+	0.425907i	0.317450	+	0.948275i	$0.397173\pi$
$368$	2.30047	−	3.98453i	0.119920	−	0.207708i
$369$	8.19491	+	4.97828i	0.426610	+	0.259159i
$370$	−8.07527	−	13.9868i	−0.419813	−	0.727138i
$371$	3.03841	+	17.2317i	0.157747	+	0.894625i
$372$	0.0864966	−	0.308984i	0.00448464	−	0.0160201i
$373$	12.4470	−	4.53034i	0.644481	−	0.234572i	0.000959201	−	1.00000i	$-0.499695\pi$
$373$	12.4470	−	4.53034i	0.644481	−	0.234572i	0.643522	+	0.765428i	$0.277472\pi$
$374$	0.0751925	−	0.426438i	0.00388811	−	0.0220506i
$375$	56.7576	+	27.2412i	2.93095	+	1.40673i
$376$	3.60410	−	3.02420i	0.185867	−	0.155961i
$377$	6.84452			0.352510
$378$	6.20263	−	12.2171i	0.319029	−	0.628379i
$379$	15.3841			0.790230			0.395115	−	0.918632i	$-0.370705\pi$
$379$	15.3841			0.790230			0.395115	+	0.918632i	$0.370705\pi$
$380$	3.77709	−	3.16935i	0.193760	−	0.162584i
$381$	−19.5076	+	13.3376i	−0.999404	+	0.683308i
$382$	−1.53554	+	8.70849i	−0.0785651	+	0.445565i
$383$	6.99020	−	2.54422i	0.357183	−	0.130004i	−0.157195	−	0.987568i	$-0.550245\pi$
$383$	6.99020	−	2.54422i	0.357183	−	0.130004i	0.514378	+	0.857564i	$0.328023\pi$
$384$	1.67793	−	0.429602i	0.0856264	−	0.0219230i
$385$	0.170103	+	0.964704i	0.00866927	+	0.0491659i
$386$	−9.98998	−	17.3032i	−0.508477	−	0.880708i
$387$	−32.7964	−	6.54026i	−1.66713	−	0.332460i
$388$	−1.47746	+	2.55903i	−0.0750066	+	0.129915i
$389$	−11.8490	−	4.31267i	−0.600767	−	0.218661i	0.0236916	−	0.999719i	$-0.492458\pi$
$389$	−11.8490	−	4.31267i	−0.600767	−	0.218661i	−0.624458	+	0.781058i	$0.714680\pi$
$390$	−3.06961	−	6.77917i	−0.155436	−	0.343277i
$391$	17.6507	+	14.8107i	0.892633	+	0.749008i
$392$	0.0360415	+	0.0302424i	0.00182037	+	0.00152747i
$393$	−3.54978	−	0.350499i	−0.179063	−	0.0176803i
$394$	−5.48099	−	1.99492i	−0.276129	−	0.100503i
$395$	12.7844	−	22.1433i	0.643255	−	1.11415i
$396$	0.0941334	−	0.241714i	0.00473038	−	0.0121466i
$397$	15.2112	+	26.3466i	0.763430	+	1.32230i	0.941072	+	0.338205i	$0.109820\pi$
$397$	15.2112	+	26.3466i	0.763430	+	1.32230i	−0.177642	+	0.984095i	$0.556847\pi$
$398$	4.10386	+	23.2741i	0.205708	+	1.16663i
$399$	3.66455	+	3.74721i	0.183457	+	0.187595i
$400$	−12.6482	+	4.60355i	−0.632408	+	0.230178i
$401$	−2.75734	+	15.6377i	−0.137695	+	0.780908i	0.835250	+	0.549871i	$0.185323\pi$
$401$	−2.75734	+	15.6377i	−0.137695	+	0.780908i	−0.972945	+	0.231037i	$0.925788\pi$
$402$	0.496289	+	6.50776i	0.0247527	+	0.324578i
$403$	0.141910	−	0.119076i	0.00706902	−	0.00593162i
$404$	−16.7406			−0.832876
$405$	30.7008	−	23.5099i	1.52553	−	1.16822i
$406$	18.0479			0.895703
$407$	0.248983	−	0.208922i	0.0123416	−	0.0103559i
$408$	0.659577	+	8.64892i	0.0326539	+	0.428186i
$409$	−4.55374	+	25.8256i	−0.225168	+	1.27699i	0.637196	+	0.770702i	$0.280094\pi$
$409$	−4.55374	+	25.8256i	−0.225168	+	1.27699i	−0.862364	+	0.506289i	$0.831017\pi$
$410$	12.9042	−	4.69674i	0.637293	−	0.231956i
$411$	7.68247	+	7.85577i	0.378948	+	0.387496i
$412$	1.67654	+	9.50812i	0.0825971	+	0.468431i
$413$	4.71021	+	8.15832i	0.231774	+	0.401445i
$414$	8.63425	+	10.7688i	0.424350	+	0.529259i
$415$	−30.1291	+	52.1851i	−1.47898	+	2.56167i
$416$	0.939693	+	0.342020i	0.0460722	+	0.0167689i
$417$	−12.6582	−	1.24984i	−0.619873	−	0.0612051i
$418$	0.0760126	+	0.0637822i	0.00371790	+	0.00311969i
$419$	−2.04834	−	1.71876i	−0.100068	−	0.0839671i	0.591381	−	0.806392i	$-0.298583\pi$
$419$	−2.04834	−	1.71876i	−0.100068	−	0.0839671i	−0.691449	+	0.722425i	$0.743027\pi$
$420$	−8.09408	−	17.8756i	−0.394951	−	0.872241i
$421$	−16.6050	−	6.04372i	−0.809278	−	0.294553i	−0.0959524	−	0.995386i	$-0.530590\pi$
$421$	−16.6050	−	6.04372i	−0.809278	−	0.294553i	−0.713326	+	0.700833i	$0.752812\pi$
$422$	13.3513	−	23.1252i	0.649932	−	1.12571i
$423$	4.53041	+	13.3676i	0.220276	+	0.649956i
$424$	−3.31789	−	5.74675i	−0.161131	−	0.279087i
$425$	−11.7050	−	66.3825i	−0.567777	−	3.22002i
$426$	9.68783	−	2.48038i	0.469377	−	0.120175i
$427$	35.8091	−	13.0334i	1.73292	−	0.630732i
$428$	−3.13942	+	17.8045i	−0.151750	+	0.860615i
$429$	0.123629	−	0.0845270i	0.00596886	−	0.00408100i
$430$	−36.6895	+	30.7861i	−1.76932	+	1.48464i
$431$	−7.46331			−0.359495			−0.179747	−	0.983713i	$-0.557528\pi$
$431$	−7.46331			−0.359495			−0.179747	+	0.983713i	$0.557528\pi$
$432$	−0.625779	+	5.15833i	−0.0301078	+	0.248180i
$433$	11.6261			0.558713			0.279357	−	0.960187i	$-0.409879\pi$
$433$	11.6261			0.558713			0.279357	+	0.960187i	$0.409879\pi$
$434$	0.374194	−	0.313986i	0.0179619	−	0.0150718i
$435$	45.9200	+	22.0396i	2.20170	+	1.05672i
$436$	−2.30408	+	13.0671i	−0.110345	+	0.625799i
$437$	−4.96159	+	1.80587i	−0.237345	+	0.0863865i
$438$	6.31840	−	22.5706i	0.301905	−	1.07847i
$439$	4.94838	+	28.0637i	0.236173	+	1.33941i	0.840129	+	0.542387i	$0.182479\pi$
$439$	4.94838	+	28.0637i	0.236173	+	1.33941i	−0.603955	+	0.797018i	$0.706410\pi$
$440$	−0.185750	−	0.321728i	−0.00885527	−	0.0153378i
$441$	−0.123780	+	0.0678294i	−0.00589429	+	0.00322997i
$442$	−2.50398	+	4.33702i	−0.119102	+	0.206291i
$443$	0.940419	+	0.342284i	0.0446806	+	0.0162624i	0.364264	−	0.931296i	$-0.381321\pi$
$443$	0.940419	+	0.342284i	0.0446806	+	0.0162624i	−0.319583	+	0.947558i	$0.603543\pi$
$444$	−3.79368	+	5.29134i	−0.180040	+	0.251116i
$445$	5.63762	+	4.73053i	0.267249	+	0.224249i
$446$	11.9533	+	10.0300i	0.566004	+	0.474933i
$447$	9.97470	−	13.9125i	0.471787	−	0.658039i
$448$	2.47782	+	0.901854i	0.117066	+	0.0426086i
$449$	−8.48142	+	14.6903i	−0.400263	+	0.693276i	−0.993757	−	0.111562i	$-0.964415\pi$
$449$	−8.48142	+	14.6903i	−0.400263	+	0.693276i	0.593494	+	0.804838i	$0.297748\pi$
$450$	0.900604	−	40.3696i	0.0424549	−	1.90304i
$451$	0.138180	+	0.239334i	0.00650663	+	0.0112698i
$452$	−0.988907	−	5.60837i	−0.0465143	−	0.263796i
$453$	2.20871	−	7.88997i	0.103774	−	0.370703i
$454$	−12.4602	+	4.53513i	−0.584784	+	0.212844i
$455$	1.96729	−	11.1571i	0.0922282	−	0.523052i
$456$	−1.79198	−	0.860073i	−0.0839171	−	0.0402766i
$457$	−10.8610	+	9.11346i	−0.508056	+	0.426310i	−0.860444	−	0.509544i	$-0.829814\pi$
$457$	−10.8610	+	9.11346i	−0.508056	+	0.426310i	0.352388	+	0.935854i	$0.385370\pi$
$458$	18.2555			0.853023
$459$	−24.8961	−	7.57207i	−1.16205	−	0.353434i
$460$	19.7679			0.921685
$461$	1.11905	−	0.938998i	0.0521196	−	0.0437335i	−0.616356	−	0.787468i	$-0.711392\pi$
$461$	1.11905	−	0.938998i	0.0521196	−	0.0437335i	0.668475	+	0.743734i	$0.266947\pi$
$462$	0.325990	−	0.222884i	0.0151664	−	0.0103695i
$463$	−3.40094	+	19.2877i	−0.158055	+	0.896376i	0.797884	+	0.602811i	$0.205953\pi$
$463$	−3.40094	+	19.2877i	−0.158055	+	0.896376i	−0.955939	+	0.293565i	$0.905158\pi$
$464$	−6.43174	+	2.34096i	−0.298586	+	0.108676i
$465$	1.33551	−	0.341931i	0.0619326	−	0.0158567i
$466$	3.05500	+	17.3258i	0.141520	+	0.802602i
$467$	9.69717	+	16.7960i	0.448731	+	0.777225i	0.998304	−	0.0582206i	$-0.0185427\pi$
$467$	9.69717	+	16.7960i	0.448731	+	0.777225i	−0.549572	+	0.835446i	$0.685209\pi$
$468$	−1.97914	+	2.25455i	−0.0914857	+	0.104217i
$469$	−4.96803	+	8.60489i	−0.229403	+	0.397337i
$470$	18.9952	+	6.91368i	0.876182	+	0.318904i
$471$	−5.54603	−	12.2483i	−0.255547	−	0.564372i
$472$	−2.73678	−	2.29643i	−0.125970	−	0.105702i
$473$	−0.738364	−	0.619561i	−0.0339500	−	0.0284874i
$474$	−10.2577	−	1.01283i	−0.471153	−	0.0465207i
$475$	14.5150	+	5.28301i	0.665992	+	0.242401i
$476$	−6.60260	+	11.4360i	−0.302630	+	0.524170i
$477$	19.6771	−	3.01876i	0.900953	−	0.138219i
$478$	2.70843	+	4.69114i	0.123881	+	0.214568i
$479$	−4.69468	−	26.6249i	−0.214505	−	1.21652i	−0.881763	−	0.471694i	$-0.843643\pi$
$479$	−4.69468	−	26.6249i	−0.214505	−	1.21652i	0.667257	−	0.744827i	$-0.267468\pi$
$480$	5.20310	+	5.32047i	0.237488	+	0.242845i
$481$	−3.53230	+	1.28565i	−0.161059	+	0.0586208i
$482$	−4.13698	+	23.4620i	−0.188434	+	1.06866i
$483$	1.59785	+	20.9523i	0.0727047	+	0.953365i
$484$	−8.42076	+	7.06586i	−0.382762	+	0.321175i
$485$	−12.6958			−0.576487
$486$	−13.7388	−	7.36514i	−0.623205	−	0.334089i
$487$	−18.3468			−0.831374			−0.415687	−	0.909508i	$-0.636459\pi$
$487$	−18.3468			−0.831374			−0.415687	+	0.909508i	$0.636459\pi$
$488$	−11.0707	+	9.28945i	−0.501149	+	0.420514i
$489$	0.211798	+	2.77727i	0.00957782	+	0.125592i
$490$	−0.0351022	+	0.199074i	−0.00158575	+	0.00899326i
$491$	−0.144822	+	0.0527109i	−0.00653573	+	0.00237881i	−0.345286	−	0.938498i	$-0.612218\pi$
$491$	−0.144822	+	0.0527109i	−0.00653573	+	0.00237881i	0.338750	+	0.940876i	$0.389996\pi$
$492$	−3.87060	−	3.95791i	−0.174500	−	0.178436i
$493$	−5.95215	−	33.7563i	−0.268071	−	1.52031i
$494$	−0.573797	−	0.993846i	−0.0258164	−	0.0447152i
$495$	1.10161	−	0.169003i	0.0495137	−	0.00759612i
$496$	−0.0926250	+	0.160431i	−0.00415898	+	0.00720357i
$497$	14.3062	+	5.20702i	0.641720	+	0.233567i
$498$	24.1744	+	2.38693i	1.08328	+	0.106961i
$499$	−27.8737	−	23.3888i	−1.24780	−	1.04703i	−0.996873	−	0.0790222i	$-0.974820\pi$
$499$	−27.8737	−	23.3888i	−1.24780	−	1.04703i	−0.250927	−	0.968006i	$-0.580735\pi$
$500$	−27.8441	−	23.3640i	−1.24523	−	1.04487i
$501$	10.9421	+	24.1653i	0.488855	+	1.07963i
$502$	4.35928	+	1.58665i	0.194564	+	0.0708156i
$503$	5.98919	−	10.3736i	0.267045	−	0.462535i	−0.701052	−	0.713110i	$-0.747286\pi$
$503$	5.98919	−	10.3736i	0.267045	−	0.462535i	0.968097	+	0.250574i	$0.0806195\pi$
$504$	−5.21868	+	5.94491i	−0.232459	+	0.264807i
$505$	−35.9630	−	62.2897i	−1.60033	−	2.77186i
$506$	0.0690813	+	0.391779i	0.00307104	+	0.0174167i
$507$	−1.67793	+	0.429602i	−0.0745194	+	0.0190793i
$508$	12.8207	−	4.66637i	0.568828	−	0.207036i
$509$	−2.49112	+	14.1278i	−0.110417	+	0.626206i	0.878501	+	0.477741i	$0.158544\pi$
$509$	−2.49112	+	14.1278i	−0.110417	+	0.626206i	−0.988918	+	0.148465i	$0.952567\pi$
$510$	−30.7646	+	21.0342i	−1.36228	+	0.931412i
$511$	27.3341	−	22.9360i	1.20919	−	1.01463i
$512$	−1.00000			−0.0441942
$513$	4.35522	−	4.07312i	0.192288	−	0.179833i
$514$	−2.33986			−0.103207
$515$	−31.7769	+	26.6640i	−1.40026	+	1.17496i
$516$	17.4067	+	8.35449i	0.766289	+	0.367786i
$517$	−0.0706410	+	0.400625i	−0.00310679	+	0.0176195i
$518$	−9.31414	+	3.39007i	−0.409240	+	0.148951i
$519$	−2.17028	+	7.75268i	−0.0952646	+	0.340305i
$520$	0.746079	+	4.23122i	0.0327177	+	0.185551i
$521$	7.93996	+	13.7524i	0.347856	+	0.602504i	0.985868	−	0.167522i	$-0.0535765\pi$
$521$	7.93996	+	13.7524i	0.347856	+	0.602504i	−0.638013	+	0.770026i	$0.720243\pi$
$522$	0.457968	−	20.5284i	0.0200447	−	0.898505i
$523$	1.25999	−	2.18236i	0.0550954	−	0.0954281i	−0.837162	−	0.546955i	$-0.815787\pi$
$523$	1.25999	−	2.18236i	0.0550954	−	0.0954281i	0.892258	+	0.451526i	$0.149120\pi$
$524$	1.93524	+	0.704368i	0.0845411	+	0.0307705i
$525$	35.8191	−	49.9596i	1.56327	−	2.18042i
$526$	−19.9035	−	16.7010i	−0.867834	−	0.728199i
$527$	−0.710678	−	0.596329i	−0.0309576	−	0.0259765i
$528$	−0.0872633	+	0.121713i	−0.00379765	+	0.00529688i
$529$	1.72089	+	0.626354i	0.0748215	+	0.0272328i
$530$	14.2553	−	24.6909i	0.619211	−	1.07250i
$531$	9.39913	−	5.15056i	0.407887	−	0.223515i
$532$	−1.51301	−	2.62062i	−0.0655975	−	0.113618i
$533$	−0.555010	−	3.14762i	−0.0240402	−	0.136339i
$534$	0.799776	−	2.85697i	0.0346097	−	0.123633i
$535$	−72.9927	+	26.5672i	−3.15575	+	1.14860i
$536$	0.654335	−	3.71092i	0.0282630	−	0.160287i
$537$	−31.0950	−	14.9243i	−1.34185	−	0.644029i
$538$	16.7515	−	14.0562i	0.722209	−	0.606005i
$539$	−0.00406811			−0.000175226
$540$	−20.5378	+	8.75294i	−0.883808	+	0.376666i
$541$	−18.5505			−0.797546			−0.398773	−	0.917050i	$-0.630564\pi$
$541$	−18.5505			−0.797546			−0.398773	+	0.917050i	$0.630564\pi$
$542$	18.8073	−	15.7812i	0.807841	−	0.677859i
$543$	−22.8642	+	15.6326i	−0.981196	+	0.670858i
$544$	0.869623	−	4.93188i	0.0372848	−	0.211452i
$545$	−53.5707	+	19.4981i	−2.29472	+	0.835208i
$546$	−4.42444	+	1.13279i	−0.189348	+	0.0484790i
$547$	5.97424	+	33.8816i	0.255440	+	1.44867i	0.794941	+	0.606687i	$0.207502\pi$
$547$	5.97424	+	33.8816i	0.255440	+	1.44867i	−0.539501	+	0.841985i	$0.681387\pi$
$548$	−3.17193	−	5.49394i	−0.135498	−	0.234689i
$549$	−13.9161	−	41.0614i	−0.593924	−	1.75246i
$550$	0.581909	−	1.00790i	0.0248127	−	0.0429768i
$551$	7.38103	+	2.68647i	0.314442	+	0.114448i
$552$	−3.28712	−	7.25954i	−0.139909	−	0.308986i
$553$	−12.0209	−	10.0867i	−0.511179	−	0.428930i
$554$	−5.31855	−	4.46279i	−0.225963	−	0.189606i
$555$	−27.8382	−	2.74869i	−1.18166	−	0.116675i
$556$	6.90085	+	2.51170i	0.292661	+	0.106520i
$557$	−21.0473	+	36.4550i	−0.891802	+	1.54465i	−0.0540881	+	0.998536i	$0.517225\pi$
$557$	−21.0473	+	36.4550i	−0.891802	+	1.54465i	−0.837714	+	0.546110i	$0.816108\pi$
$558$	−0.347645	−	0.433591i	−0.0147170	−	0.0183554i
$559$	5.57369	+	9.65392i	0.235742	+	0.408317i
$560$	1.96729	+	11.1571i	0.0831334	+	0.471473i
$561$	−0.524387	−	0.536216i	−0.0221396	−	0.0226391i
$562$	9.18187	−	3.34193i	0.387314	−	0.140971i
$563$	6.23126	−	35.3393i	0.262616	−	1.48937i	−0.513121	−	0.858316i	$-0.671511\pi$
$563$	6.23126	−	35.3393i	0.262616	−	1.48937i	0.775738	−	0.631056i	$-0.217378\pi$
$564$	−0.619652	−	8.12539i	−0.0260921	−	0.342141i
$565$	18.7436	−	15.7278i	0.788551	−	0.661673i
$566$	−24.5590			−1.03229
$567$	−10.9375	−	21.0609i	−0.459330	−	0.884474i
$568$	−5.77369			−0.242259
$569$	19.3348	−	16.2238i	0.810555	−	0.680137i	−0.140185	−	0.990125i	$-0.544770\pi$
$569$	19.3348	−	16.2238i	0.810555	−	0.680137i	0.950740	+	0.309989i	$0.100325\pi$
$570$	−0.649393	−	8.51539i	−0.0272001	−	0.356670i
$571$	0.0397539	−	0.225455i	0.00166365	−	0.00943501i	−0.983965	−	0.178364i	$-0.942920\pi$
$571$	0.0397539	−	0.225455i	0.00166365	−	0.00943501i	0.985628	+	0.168929i	$0.0540308\pi$
$572$	−0.0812511	+	0.0295730i	−0.00339728	+	0.00123651i
$573$	10.7088	+	10.9503i	0.447365	+	0.457456i
$574$	−1.46348	−	8.29978i	−0.0610843	−	0.346426i
$575$	30.9641	+	53.6314i	1.29129	+	2.23658i
$576$	1.08868	−	2.79549i	0.0453617	−	0.116479i
$577$	−3.78708	+	6.55941i	−0.157658	+	0.273072i	−0.934024	−	0.357211i	$-0.883728\pi$
$577$	−3.78708	+	6.55941i	−0.157658	+	0.273072i	0.776366	+	0.630283i	$0.217061\pi$
$578$	7.59238	+	2.76340i	0.315801	+	0.114942i
$579$	−34.4388	−	3.40043i	−1.43123	−	0.141317i
$580$	−22.5274	−	18.9027i	−0.935400	−	0.784894i
$581$	28.3296	+	23.7713i	1.17531	+	0.986201i
$582$	2.11112	+	4.66238i	0.0875089	+	0.193262i
$583$	0.539164	+	0.196240i	0.0223299	+	0.00812742i
$584$	−6.76607	+	11.7192i	−0.279982	+	0.484943i
$585$	−12.6406	−	2.52079i	−0.522624	−	0.104222i
$586$	−13.8529	−	23.9940i	−0.572259	−	0.991182i
$587$	−5.57742	−	31.6311i	−0.230205	−	1.30556i	−0.852481	−	0.522758i	$-0.824903\pi$
$587$	−5.57742	−	31.6311i	−0.230205	−	1.30556i	0.622277	−	0.782797i	$-0.286208\pi$
$588$	0.0789446	−	0.0202123i	0.00325562	−	0.000833539i
$589$	0.199771	−	0.0727107i	0.00823142	−	0.00299599i
$590$	2.66545	−	15.1165i	0.109735	−	0.622337i
$591$	−8.33969	+	5.70197i	−0.343049	+	0.234548i
$592$	2.87956	−	2.41624i	0.118349	−	0.0993068i
$593$	−22.8163			−0.936954			−0.468477	−	0.883476i	$-0.655197\pi$
$593$	−22.8163			−0.936954			−0.468477	+	0.883476i	$0.655197\pi$
$594$	−0.245246	−	0.376450i	−0.0100626	−	0.0154459i
$595$	−56.7361			−2.32596
$596$	−7.57122	+	6.35301i	−0.310129	+	0.260229i
$597$	36.9034	+	17.7121i	1.51036	+	0.724906i
$598$	0.798945	−	4.53104i	0.0326713	−	0.185288i
$599$	−16.3961	+	5.96769i	−0.669926	+	0.243833i	−0.654516	−	0.756048i	$-0.727128\pi$
$599$	−16.3961	+	5.96769i	−0.669926	+	0.243833i	−0.0154100	+	0.999881i	$0.504905\pi$
$600$	−6.28467	+	22.4501i	−0.256570	+	0.916523i
$601$	6.33825	+	35.9460i	0.258543	+	1.46627i	0.786813	+	0.617192i	$0.211730\pi$
$601$	6.33825	+	35.9460i	0.258543	+	1.46627i	−0.528270	+	0.849076i	$0.677159\pi$
$602$	14.6970	+	25.4559i	0.599003	+	1.03750i
$603$	9.66148	+	5.86919i	0.393446	+	0.239012i
$604$	−2.36520	+	4.09664i	−0.0962386	+	0.166690i
$605$	−44.3811	−	16.1534i	−1.80435	−	0.656729i
$606$	−16.8950	+	23.5648i	−0.686314	+	0.957256i
$607$	−1.98493	−	1.66556i	−0.0805659	−	0.0676029i	0.601615	−	0.798786i	$-0.294524\pi$
$607$	−1.98493	−	1.66556i	−0.0805659	−	0.0676029i	−0.682181	+	0.731183i	$0.738968\pi$
$608$	0.879108	+	0.737659i	0.0356525	+	0.0299160i
$609$	18.2144	−	25.4051i	0.738085	−	1.02947i
$610$	−58.3476	−	21.2368i	−2.36242	−	0.859852i
$611$	2.35241	−	4.07449i	0.0951683	−	0.164836i
$612$	12.8403	+	7.80026i	0.519037	+	0.315307i
$613$	6.40647	+	11.0963i	0.258755	+	0.448176i	0.965909	−	0.258883i	$-0.0833545\pi$
$613$	6.40647	+	11.0963i	0.258755	+	0.448176i	−0.707154	+	0.707060i	$0.750021\pi$
$614$	−0.775347	−	4.39721i	−0.0312905	−	0.177457i
$615$	6.41189	−	22.9046i	0.258552	−	0.923603i
$616$	−0.214247	+	0.0779794i	−0.00863224	+	0.00314188i
$617$	−2.96777	+	16.8310i	−0.119478	+	0.677592i	0.864958	+	0.501845i	$0.167345\pi$
$617$	−2.96777	+	16.8310i	−0.119478	+	0.677592i	−0.984435	+	0.175747i	$0.943766\pi$
$618$	15.0761	+	7.23586i	0.606448	+	0.291069i
$619$	34.1643	−	28.6673i	1.37318	−	1.15223i	0.401521	−	0.915850i	$-0.368482\pi$
$619$	34.1643	−	28.6673i	1.37318	−	1.15223i	0.971659	−	0.236385i	$-0.0759627\pi$
$620$	−0.795926			−0.0319652
$621$	23.8726	−	1.28579i	0.957974	−	0.0515970i
$622$	12.8677			0.515948
$623$	3.45992	−	2.90322i	0.138619	−	0.116315i
$624$	1.42980	−	0.977579i	0.0572380	−	0.0391345i
$625$	15.4320	−	87.5191i	0.617279	−	3.50076i
$626$	21.0658	−	7.66734i	0.841960	−	0.306449i
$627$	0.166497	−	0.0426283i	0.00664923	−	0.00170241i
$628$	1.34798	+	7.64478i	0.0537903	+	0.305060i
$629$	9.41246	+	16.3029i	0.375299	+	0.650037i
$630$	−33.3313	−	6.64694i	−1.32795	−	0.264820i
$631$	18.8833	−	32.7069i	0.751733	−	1.30204i	−0.195249	−	0.980754i	$-0.562552\pi$
$631$	18.8833	−	32.7069i	0.751733	−	1.30204i	0.946982	−	0.321286i	$-0.104115\pi$
$632$	5.59220	+	2.03539i	0.222446	+	0.0809636i
$633$	−19.0775	−	42.1324i	−0.758264	−	1.67461i
$634$	26.2755	+	22.0478i	1.04353	+	0.875629i
$635$	44.9051	+	37.6798i	1.78200	+	1.49528i
$636$	−11.4379	−	1.12936i	−0.453542	−	0.0447818i
$637$	0.0442115	+	0.0160917i	0.00175172	+	0.000637575i
$638$	0.295908	−	0.512527i	0.0117151	−	0.0202911i
$639$	6.28570	−	16.1403i	0.248658	−	0.638500i
$640$	−2.14825	−	3.72088i	−0.0849170	−	0.147081i
$641$	−6.04104	−	34.2604i	−0.238607	−	1.35321i	−0.834883	−	0.550427i	$-0.814465\pi$
$641$	−6.04104	−	34.2604i	−0.238607	−	1.35321i	0.596276	−	0.802779i	$-0.296646\pi$
$642$	21.8941	+	22.3880i	0.864091	+	0.883583i
$643$	−11.6126	+	4.22665i	−0.457957	+	0.166683i	−0.560689	−	0.828026i	$-0.689464\pi$
$643$	−11.6126	+	4.22665i	−0.457957	+	0.166683i	0.102732	+	0.994709i	$0.467242\pi$
$644$	2.10669	−	11.9477i	0.0830154	−	0.470804i
$645$	6.30801	+	82.7159i	0.248378	+	3.25693i
$646$	−4.40254	+	3.69417i	−0.173215	+	0.145345i
$647$	−26.1952			−1.02984			−0.514920	−	0.857238i	$-0.672178\pi$
$647$	−26.1952			−1.02984			−0.514920	+	0.857238i	$0.672178\pi$
$648$	6.62955	+	6.08679i	0.260433	+	0.239112i
$649$	0.308908			0.0121257
$650$	−10.3109	+	8.65185i	−0.404426	+	0.339354i
$651$	−0.0643350	−	0.843615i	−0.00252149	−	0.0330639i
$652$	0.279246	−	1.58368i	0.0109361	−	0.0620218i
$653$	18.3454	−	6.67720i	0.717913	−	0.261299i	0.0428733	−	0.999081i	$-0.486349\pi$
$653$	18.3454	−	6.67720i	0.717913	−	0.261299i	0.675039	+	0.737782i	$0.264127\pi$
$654$	16.0685	+	16.4309i	0.628327	+	0.642500i
$655$	1.53650	+	8.71393i	0.0600361	+	0.340481i
$656$	1.59809	+	2.76797i	0.0623949	+	0.108071i
$657$	−25.3948	−	31.6729i	−0.990744	−	1.23568i
$658$	6.20294	−	10.7438i	0.241816	−	0.418837i
$659$	−10.4371	−	3.79880i	−0.406573	−	0.147980i	0.130635	−	0.991431i	$-0.458299\pi$
$659$	−10.4371	−	3.79880i	−0.406573	−	0.147980i	−0.537207	+	0.843450i	$0.680521\pi$
$660$	−0.640342	−	0.0632261i	−0.0249253	−	0.00246107i
$661$	13.6712	+	11.4715i	0.531749	+	0.446191i	0.868705	−	0.495330i	$-0.164953\pi$
$661$	13.6712	+	11.4715i	0.531749	+	0.446191i	−0.336956	+	0.941521i	$0.609397\pi$
$662$	9.65004	+	8.09734i	0.375059	+	0.314712i
$663$	3.57791	+	7.90174i	0.138954	+	0.306878i
$664$	−13.1791	−	4.79682i	−0.511450	−	0.186153i
$665$	6.50066	−	11.2595i	0.252085	−	0.436624i
$666$	3.61965	+	10.6803i	0.140259	+	0.413853i
$667$	15.7456	+	27.2722i	0.609672	+	1.05598i
$668$	−2.65951	−	15.0828i	−0.102899	−	0.583571i
$669$	26.1822	−	6.70345i	1.01226	−	0.259170i
$670$	15.2135	−	5.53728i	0.587751	−	0.213924i
$671$	0.216988	−	1.23060i	0.00837674	−	0.0475069i
$672$	3.77017	−	2.57772i	0.145438	−	0.0994378i
$673$	6.65971	−	5.58816i	0.256713	−	0.215408i	−0.505343	−	0.862918i	$-0.668634\pi$
$673$	6.65971	−	5.58816i	0.256713	−	0.215408i	0.762057	+	0.647510i	$0.224190\pi$
$674$	−24.0830			−0.927641
$675$	−55.9172	−	42.0098i	−2.15225	−	1.61696i
$676$	1.00000			0.0384615
$677$	20.1583	−	16.9148i	0.774745	−	0.650089i	−0.167174	−	0.985927i	$-0.553464\pi$
$677$	20.1583	−	16.9148i	0.774745	−	0.650089i	0.941919	+	0.335839i	$0.109020\pi$
$678$	−8.89263	−	4.26808i	−0.341519	−	0.163915i
$679$	−1.35301	+	7.67329i	−0.0519237	+	0.294474i
$680$	20.2191	−	7.35914i	0.775366	−	0.282210i
$681$	−6.19125	+	22.1165i	−0.237249	+	0.847504i
$682$	−0.00278145	−	0.0157744i	−0.000106507	−	0.000604033i
$683$	−19.8687	−	34.4136i	−0.760255	−	1.31680i	−0.942719	−	0.333588i	$-0.891741\pi$
$683$	−19.8687	−	34.4136i	−0.760255	−	1.31680i	0.182464	−	0.983213i	$-0.441593\pi$
$684$	−3.01919	+	1.65446i	−0.115442	+	0.0632600i
$685$	13.6282	−	23.6047i	0.520706	−	0.901889i
$686$	17.4613	+	6.35541i	0.666677	+	0.242651i
$687$	18.4239	−	25.6973i	0.702916	−	0.980412i
$688$	−8.53939	−	7.16540i	−0.325561	−	0.273178i
$689$	−5.08330	−	4.26540i	−0.193658	−	0.162499i
$690$	19.9503	−	27.8262i	0.759495	−	1.05933i
$691$	0.655686	+	0.238650i	0.0249435	+	0.00907868i	0.354462	−	0.935071i	$-0.384664\pi$
$691$	0.655686	+	0.238650i	0.0249435	+	0.00907868i	−0.329518	+	0.944149i	$0.606886\pi$
$692$	2.32404	−	4.02536i	0.0883469	−	0.153021i
$693$	0.0152553	−	0.683819i	0.000579500	−	0.0259761i
$694$	3.64553	+	6.31424i	0.138382	+	0.239685i
$695$	5.47900	+	31.0730i	0.207830	+	1.17866i
$696$	−3.19583	+	11.4162i	−0.121138	+	0.432729i
$697$	−15.0410	+	5.47448i	−0.569719	+	0.207361i
$698$	1.33498	−	7.57104i	0.0505297	−	0.286568i
$699$	27.4717	+	13.1853i	1.03908	+	0.498712i
$700$	−27.1882	+	22.8136i	−1.02762	+	0.862273i
$701$	39.4726			1.49086			0.745429	−	0.666585i	$-0.232245\pi$
$701$	39.4726			1.49086			0.745429	+	0.666585i	$0.232245\pi$
$702$	1.17621	+	5.06128i	0.0443933	+	0.191026i
$703$	−4.31381			−0.162698
$704$	0.0662365	−	0.0555790i	0.00249638	−	0.00209471i
$705$	28.9024	−	19.7610i	1.08853	−	0.744243i
$706$	1.15211	−	6.53394i	0.0433602	−	0.245908i
$707$	−41.4803	+	15.0976i	−1.56003	+	0.567803i
$708$	−5.99458	+	1.53480i	−0.225290	+	0.0576813i
$709$	−2.89170	−	16.3997i	−0.108600	−	0.615902i	−0.989721	−	0.143011i	$-0.954322\pi$
$709$	−2.89170	−	16.3997i	−0.108600	−	0.615902i	0.881121	−	0.472891i	$-0.156790\pi$
$710$	−12.4033	−	21.4832i	−0.465488	−	0.806249i
$711$	−11.7780	+	13.4171i	−0.441711	+	0.503179i
$712$	−0.856441	+	1.48340i	−0.0320965	+	0.0555928i
$713$	0.800923	+	0.291512i	0.0299948	+	0.0109172i
$714$	9.43438	+	20.8357i	0.353073	+	0.779755i
$715$	−0.284585	−	0.238795i	−0.0106429	−	0.00893043i
$716$	15.2546	+	12.8001i	0.570089	+	0.478362i
$717$	9.33687	+	0.921905i	0.348692	+	0.0344292i
$718$	18.1325	+	6.59969i	0.676699	+	0.246298i
$719$	−3.87240	+	6.70720i	−0.144416	+	0.250136i	−0.929155	−	0.369690i	$-0.879464\pi$
$719$	−3.87240	+	6.70720i	−0.144416	+	0.250136i	0.784739	+	0.619827i	$0.212797\pi$
$720$	12.7404	−	1.95457i	0.474808	−	0.0728425i
$721$	12.7291	+	22.0474i	0.474056	+	0.821090i
$722$	3.07063	+	17.4144i	0.114277	+	0.648096i
$723$	28.8510	+	29.5018i	1.07298	+	1.09718i
$724$	15.0267	−	5.46929i	0.558464	−	0.203264i
$725$	15.9976	−	90.7268i	0.594135	−	3.36951i
$726$	1.44778	+	18.9845i	0.0537321	+	0.704580i
$727$	−8.58145	+	7.20069i	−0.318268	+	0.267059i	−0.787900	−	0.615804i	$-0.788831\pi$
$727$	−8.58145	+	7.20069i	−0.318268	+	0.267059i	0.469631	+	0.882863i	$0.344387\pi$
$728$	2.63684			0.0977280
$729$	−24.2330	+	11.9063i	−0.897520	+	0.440973i
$730$	−58.1408			−2.15189
$731$	42.7649	−	35.8840i	1.58172	−	1.32722i
$732$	1.90339	+	24.9588i	0.0703513	+	0.922504i
$733$	5.70320	−	32.3444i	0.210652	−	1.19467i	−0.677641	−	0.735393i	$-0.736998\pi$
$733$	5.70320	−	32.3444i	0.210652	−	1.19467i	0.888293	−	0.459276i	$-0.151891\pi$
$734$	−22.4172	+	8.15920i	−0.827435	+	0.301162i
$735$	0.244800	+	0.250322i	0.00902958	+	0.00923327i
$736$	0.798945	+	4.53104i	0.0294495	+	0.167016i
$737$	0.162908	+	0.282166i	0.00600081	+	0.0103937i
$738$	−9.47764	+	1.45401i	−0.348877	+	0.0535228i
$739$	−5.72166	+	9.91021i	−0.210475	+	0.364553i	−0.951863	−	0.306523i	$-0.900834\pi$
$739$	−5.72166	+	9.91021i	−0.210475	+	0.364553i	0.741388	+	0.671076i	$0.234168\pi$
$740$	15.1765	+	5.52381i	0.557901	+	0.203059i
$741$	−1.97807	−	0.195311i	−0.0726663	−	0.00717493i
$742$	−13.4039	−	11.2472i	−0.492072	−	0.412897i
$743$	28.3838	+	23.8169i	1.04130	+	0.873756i	0.992152	−	0.125036i	$-0.0399046\pi$
$743$	28.3838	+	23.8169i	1.04130	+	0.873756i	0.0491491	+	0.998791i	$0.484349\pi$
$744$	0.132351	+	0.292294i	0.00485221	+	0.0107160i
$745$	−39.9036	−	14.5237i	−1.46196	−	0.532108i
$746$	−6.62291	+	11.4712i	−0.242482	+	0.419991i
$747$	27.7573	−	31.6200i	1.01559	−	1.15691i
$748$	0.216508	+	0.375003i	0.00791632	+	0.0137115i
$749$	8.27817	+	46.9478i	0.302478	+	1.71544i
$750$	−60.9892	+	15.6151i	−2.22701	+	0.570183i
$751$	9.06755	−	3.30032i	0.330880	−	0.120430i	−0.171238	−	0.985230i	$-0.554777\pi$
$751$	9.06755	−	3.30032i	0.330880	−	0.120430i	0.502118	+	0.864799i	$0.332554\pi$
$752$	−0.816983	+	4.63334i	−0.0297923	+	0.168961i
$753$	6.63293	−	4.53503i	0.241717	−	0.165266i
$754$	−5.24320	+	4.39957i	−0.190946	+	0.160223i
$755$	−20.3241			−0.739671
$756$	3.10149	+	13.3458i	0.112800	+	0.485382i
$757$	10.3233			0.375207			0.187604	−	0.982245i	$-0.439928\pi$
$757$	10.3233			0.375207			0.187604	+	0.982245i	$0.439928\pi$
$758$	−11.7849	+	9.88873i	−0.428048	+	0.359175i
$759$	0.621205	+	0.298152i	0.0225483	+	0.0108222i
$760$	−0.856196	+	4.85573i	−0.0310575	+	0.176136i
$761$	16.7242	−	6.08711i	0.606252	−	0.220658i	−0.0206107	−	0.999788i	$-0.506561\pi$
$761$	16.7242	−	6.08711i	0.606252	−	0.220658i	0.626862	+	0.779130i	$0.284339\pi$
$762$	6.37042	−	22.7565i	0.230776	−	0.824379i
$763$	6.07549	+	34.4558i	0.219948	+	1.24738i
$764$	−4.42141	−	7.65811i	−0.159961	−	0.277061i
$765$	−1.43969	+	64.5340i	−0.0520519	+	2.33323i
$766$	−3.71941	+	6.44220i	−0.134388	+	0.232766i
$767$	−3.35716	−	1.22190i	−0.121220	−	0.0441204i
$768$	−1.00922	+	1.40765i	−0.0364173	+	0.0507940i
$769$	−2.51090	−	2.10689i	−0.0905452	−	0.0759765i	0.596391	−	0.802694i	$-0.296601\pi$
$769$	−2.51090	−	2.10689i	−0.0905452	−	0.0759765i	−0.686937	+	0.726717i	$0.741045\pi$
$770$	−0.750407	−	0.629666i	−0.0270428	−	0.0226916i
$771$	−2.36144	+	3.29369i	−0.0850452	+	0.118619i
$772$	18.7750	+	6.83355i	0.675728	+	0.245945i
$773$	−21.9975	+	38.1007i	−0.791194	+	1.37039i	0.134035	+	0.990977i	$0.457207\pi$
$773$	−21.9975	+	38.1007i	−0.791194	+	1.37039i	−0.925228	+	0.379411i	$0.876127\pi$
$774$	29.3275	−	16.0710i	1.05415	−	0.577659i
$775$	−1.24672	−	2.15939i	−0.0447836	−	0.0775674i
$776$	−0.513116	−	2.91003i	−0.0184198	−	0.104464i
$777$	−4.62805	+	16.5323i	−0.166030	+	0.593095i
$778$	11.8490	−	4.31267i	0.424806	−	0.154617i
$779$	0.636926	−	3.61219i	0.0228203	−	0.129420i
$780$	6.70902	+	3.22004i	0.240222	+	0.115296i
$781$	0.382429	−	0.320896i	0.0136844	−	0.0114826i
$782$	−23.0413			−0.823956
$783$	−28.4346	−	21.3625i	−1.01617	−	0.763432i
$784$	−0.0470488			−0.00168032
$785$	−25.5495	+	21.4386i	−0.911900	+	0.765175i
$786$	2.94459	−	2.01326i	0.105030	−	0.0718106i
$787$	−9.33146	+	52.9214i	−0.332631	+	1.88644i	0.116845	+	0.993150i	$0.462722\pi$
$787$	−9.33146	+	52.9214i	−0.332631	+	1.88644i	−0.449476	+	0.893292i	$0.648389\pi$
$788$	5.48099	−	1.99492i	0.195252	−	0.0710660i
$789$	−43.5962	+	11.1620i	−1.55207	+	0.397377i
$790$	4.43999	+	25.1804i	0.157968	+	0.895879i
$791$	−7.50827	−	13.0047i	−0.266963	−	0.462394i
$792$	0.0832604	+	0.245671i	0.00295853	+	0.00872955i
$793$	−7.22591	+	12.5156i	−0.256600	+	0.444444i
$794$	−28.5878	−	10.4051i	−1.01454	−	0.369263i
$795$	−20.3692	−	44.9851i	−0.722422	−	1.59546i
$796$	−18.1041	−	15.1911i	−0.641681	−	0.538435i
$797$	21.1573	+	17.7531i	0.749431	+	0.628848i	0.935352	−	0.353717i	$-0.115082\pi$
$797$	21.1573	+	17.7531i	0.749431	+	0.628848i	−0.185921	+	0.982565i	$0.559527\pi$
$798$	−5.21587	−	0.515005i	−0.184640	−	0.0182310i
$799$	−22.1406	−	8.05852i	−0.783278	−	0.285090i
$800$	6.72995	−	11.6566i	0.237940	−	0.412123i
$801$	−3.21444	−	4.00912i	−0.113577	−	0.141655i
$802$	−7.93946	−	13.7515i	−0.280352	−	0.485584i
$803$	−0.203180	−	1.15229i	−0.00717005	−	0.0406634i
$804$	−4.56329	−	4.66622i	−0.160935	−	0.164565i
$805$	48.9815	−	17.8278i	1.72637	−	0.628347i
$806$	−0.0321683	+	0.182436i	−0.00113308	+	0.00642602i
$807$	−2.88008	−	37.7660i	−0.101384	−	1.32943i
$808$	12.8241	−	10.7607i	0.451149	−	0.378559i
$809$	−40.4451			−1.42197			−0.710987	−	0.703205i	$-0.751752\pi$
$809$	−40.4451			−1.42197			−0.710987	+	0.703205i	$0.751752\pi$
$810$	−8.40628	+	37.7437i	−0.295367	+	1.32618i
$811$	35.0290			1.23004			0.615018	−	0.788513i	$-0.289149\pi$
$811$	35.0290			1.23004			0.615018	+	0.788513i	$0.289149\pi$
$812$	−13.8255	+	11.6010i	−0.485180	+	0.407115i
$813$	−3.23353	−	42.4007i	−0.113405	−	1.48706i
$814$	−0.0564399	+	0.320086i	−0.00197822	+	0.0112190i
$815$	6.49257	−	2.36310i	0.227425	−	0.0827759i
$816$	−6.06469	−	6.20149i	−0.212306	−	0.217096i
$817$	2.22142	+	12.5983i	0.0777178	+	0.440759i
$818$	−13.1120	−	22.7106i	−0.458450	−	0.794058i
$819$	−2.87068	+	7.37128i	−0.100310	+	0.257573i
$820$	−6.86618	+	11.8926i	−0.239777	+	0.415307i
$821$	23.4640	+	8.54020i	0.818900	+	0.298055i	0.717295	−	0.696770i	$-0.245380\pi$
$821$	23.4640	+	8.54020i	0.818900	+	0.298055i	0.101605	+	0.994825i	$0.467602\pi$
$822$	−10.9347	−	1.07967i	−0.381391	−	0.0376579i
$823$	−10.0896	−	8.46614i	−0.351700	−	0.295111i	0.449772	−	0.893143i	$-0.351505\pi$
$823$	−10.0896	−	8.46614i	−0.351700	−	0.295111i	−0.801472	+	0.598032i	$0.795950\pi$
$824$	−7.39600	−	6.20598i	−0.257652	−	0.216196i
$825$	−0.831483	−	1.83632i	−0.0289485	−	0.0639323i
$826$	−8.85230	−	3.22197i	−0.308011	−	0.112107i
$827$	23.5794	−	40.8407i	0.819936	−	1.42017i	−0.0857920	−	0.996313i	$-0.527342\pi$
$827$	23.5794	−	40.8407i	0.819936	−	1.42017i	0.905728	−	0.423858i	$-0.139325\pi$
$828$	−13.5363	−	2.69941i	−0.470419	−	0.0938111i
$829$	4.80676	+	8.32555i	0.166946	+	0.289158i	0.937344	−	0.348404i	$-0.113276\pi$
$829$	4.80676	+	8.32555i	0.166946	+	0.289158i	−0.770399	+	0.637562i	$0.779943\pi$
$830$	−10.4637	−	59.3427i	−0.363201	−	2.05982i
$831$	−11.6496	+	2.98267i	−0.404121	+	0.103468i
$832$	−0.939693	+	0.342020i	−0.0325780	+	0.0118574i
$833$	0.0409147	−	0.232039i	0.00141761	−	0.00803968i
$834$	10.5001	−	7.17907i	0.363589	−	0.248591i
$835$	50.4080	−	42.2973i	1.74444	−	1.46376i
$836$	−0.0992275			−0.00343185
$837$	−0.961194	+	0.0517705i	−0.0332237	+	0.00178945i
$838$	2.67392			0.0923691
$839$	33.2939	−	27.9369i	1.14943	−	0.964488i	0.149725	−	0.988728i	$-0.452161\pi$
$839$	33.2939	−	27.9369i	1.14943	−	0.964488i	0.999706	+	0.0242400i	$0.00771659\pi$
$840$	17.6907	+	8.49075i	0.610386	+	0.292959i
$841$	3.09917	−	17.5762i	0.106868	−	0.606077i
$842$	16.6050	−	6.04372i	0.572246	−	0.208281i
$843$	4.56232	−	16.2976i	0.157135	−	0.561318i
$844$	4.63686	+	26.2970i	0.159607	+	0.905179i
$845$	2.14825	+	3.72088i	0.0739020	+	0.128002i
$846$	−12.0630	−	7.32810i	−0.414736	−	0.251945i
$847$	−14.4928	+	25.1022i	−0.497978	+	0.862523i
$848$	6.23559	+	2.26957i	0.214131	+	0.0779373i
$849$	−24.7856	+	34.5704i	−0.850639	+	1.18645i
$850$	51.6364	+	43.3281i	1.77111	+	1.48614i
$851$	−13.2487	−	11.1170i	−0.454159	−	0.381085i
$852$	−5.82695	+	8.12730i	−0.199628	+	0.278437i
$853$	9.30907	+	3.38823i	0.318737	+	0.116011i	0.496434	−	0.868075i	$-0.334643\pi$
$853$	9.30907	+	3.38823i	0.318737	+	0.116011i	−0.177697	+	0.984085i	$0.556865\pi$
$854$	−19.0536	+	33.0018i	−0.652001	+	1.12930i
$855$	−12.6420	−	7.67982i	−0.432348	−	0.262644i
$856$	−9.03960	−	15.6571i	−0.308967	−	0.535147i
$857$	6.98319	+	39.6036i	0.238541	+	1.35283i	0.835026	+	0.550210i	$0.185453\pi$
$857$	6.98319	+	39.6036i	0.238541	+	1.35283i	−0.596485	+	0.802624i	$0.703436\pi$
$858$	−0.0403724	+	0.144219i	−0.00137829	+	0.00492354i
$859$	21.3527	−	7.77175i	0.728545	−	0.265169i	0.0489961	−	0.998799i	$-0.484398\pi$
$859$	21.3527	−	7.77175i	0.728545	−	0.265169i	0.679549	+	0.733630i	$0.262176\pi$
$860$	8.31683	−	47.1671i	0.283601	−	1.60838i
$861$	−13.1601	−	6.31629i	−0.448496	−	0.215259i
$862$	5.71722	−	4.79732i	0.194729	−	0.163397i
$863$	34.1622			1.16289			0.581447	−	0.813585i	$-0.302487\pi$
$863$	34.1622			1.16289			0.581447	+	0.813585i	$0.302487\pi$
$864$	−2.83634	−	4.35376i	−0.0964942	−	0.148118i
$865$	19.9705			0.679017
$866$	−8.90608	+	7.47309i	−0.302641	+	0.253946i
$867$	11.5523	−	7.89848i	0.392337	−	0.268247i
$868$	−0.0848229	+	0.481054i	−0.00287908	+	0.0163280i
$869$	−0.483533	+	0.175992i	−0.0164027	+	0.00597011i
$870$	−49.3436	+	12.6335i	−1.67290	+	0.428315i
$871$	−0.654335	−	3.71092i	−0.0221713	−	0.125740i
$872$	−6.63432	−	11.4910i	−0.224667	−	0.389134i
$873$	8.69358	+	1.73368i	0.294233	+	0.0586760i
$874$	2.64001	−	4.57263i	0.0892996	−	0.154671i
$875$	−90.0637	−	32.7805i	−3.04471	−	1.10818i
$876$	9.66795	+	21.3515i	0.326650	+	0.721400i
$877$	9.11090	+	7.64496i	0.307653	+	0.258152i	0.783521	−	0.621365i	$-0.213422\pi$
$877$	9.11090	+	7.64496i	0.307653	+	0.258152i	−0.475868	+	0.879517i	$0.657866\pi$
$878$	−21.8296	−	18.3172i	−0.736715	−	0.618177i
$879$	−47.7557	−	4.71531i	−1.61076	−	0.159043i
$880$	0.349095	+	0.127060i	0.0117680	+	0.00428320i
$881$	−22.5929	+	39.1321i	−0.761175	+	1.31839i	0.181070	+	0.983470i	$0.442044\pi$
$881$	−22.5929	+	39.1321i	−0.761175	+	1.31839i	−0.942245	+	0.334924i	$0.891289\pi$
$882$	0.0512212	−	0.131525i	0.00172471	−	0.00442867i
$883$	27.1239	+	46.9800i	0.912793	+	1.58100i	0.810101	+	0.586290i	$0.199412\pi$
$883$	27.1239	+	46.9800i	0.912793	+	1.58100i	0.102691	+	0.994713i	$0.467255\pi$
$884$	−0.869623	−	4.93188i	−0.0292486	−	0.165877i
$885$	−18.5887	−	19.0080i	−0.624851	−	0.638946i
$886$	−0.940419	+	0.342284i	−0.0315940	+	0.0114993i
$887$	5.39499	−	30.5965i	0.181146	−	1.02733i	−0.749662	−	0.661821i	$-0.769784\pi$
$887$	5.39499	−	30.5965i	0.181146	−	1.02733i	0.930808	−	0.365509i	$-0.119105\pi$
$888$	−0.495082	−	6.49193i	−0.0166139	−	0.217855i
$889$	27.5591	−	23.1249i	0.924304	−	0.775583i
$890$	−7.35940			−0.246688
$891$	−0.777416	−	0.0347040i	−0.0260444	−	0.00116263i
$892$	−15.6039			−0.522457
$893$	4.13604	−	3.47055i	0.138407	−	0.116138i
$894$	1.30172	+	17.0692i	0.0435359	+	0.570880i
$895$	−14.8570	+	84.2581i	−0.496614	+	2.81644i
$896$	−2.47782	+	0.901854i	−0.0827783	+	0.0301288i
$897$	−5.57179	−	5.69747i	−0.186037	−	0.190233i
$898$	−2.94557	−	16.7051i	−0.0982949	−	0.557458i
$899$	−0.633973	−	1.09807i	−0.0211442	−	0.0366228i
$900$	25.2592	+	31.5038i	0.841973	+	1.05013i
$901$	−16.6158	+	28.7795i	−0.553554	+	0.958784i
$902$	−0.259693	−	0.0945205i	−0.00864683	−	0.00314719i
$903$	50.6654	+	5.00260i	1.68604	+	0.166476i
$904$	4.36254	+	3.66061i	0.145096	+	0.121750i
$905$	52.6317	+	44.1632i	1.74954	+	1.46804i
$906$	3.37960	+	7.46380i	0.112280	+	0.247968i
$907$	2.14499	+	0.780712i	0.0712232	+	0.0259231i	0.377386	−	0.926056i	$-0.376823\pi$
$907$	2.14499	+	0.780712i	0.0712232	+	0.0259231i	−0.306163	+	0.951979i	$0.599045\pi$
$908$	6.62991	−	11.4833i	0.220021	−	0.381088i
$909$	16.1200	+	47.5644i	0.534668	+	1.57761i
$910$	5.66460	+	9.81137i	0.187780	+	0.325244i
$911$	4.62495	+	26.2294i	0.153231	+	0.869019i	0.960385	+	0.278677i	$0.0898959\pi$
$911$	4.62495	+	26.2294i	0.153231	+	0.869019i	−0.807153	+	0.590342i	$0.798993\pi$
$912$	1.92558	−	0.493008i	0.0637623	−	0.0163251i
$913$	1.13954	−	0.414760i	0.0377134	−	0.0137265i
$914$	2.46199	−	13.9626i	0.0814353	−	0.461843i
$915$	−88.7797	+	60.7000i	−2.93497	+	2.00668i
$916$	−13.9845	+	11.7344i	−0.462062	+	0.387716i
$917$	5.43041			0.179328
$918$	23.9387	−	10.2023i	0.790096	−	0.336727i
$919$	32.3752			1.06796			0.533980	−	0.845497i	$-0.320696\pi$
$919$	32.3752			1.06796			0.533980	+	0.845497i	$0.320696\pi$
$920$	−15.1431	+	12.7066i	−0.499254	+	0.418924i
$921$	−6.97221	−	3.34636i	−0.229742	−	0.110266i
$922$	−0.253669	+	1.43863i	−0.00835415	+	0.0473787i
$923$	−5.42549	+	1.97472i	−0.178582	+	0.0649986i
$924$	−0.106456	+	0.380282i	−0.00350214	+	0.0125104i
$925$	8.78586	+	49.8271i	0.288877	+	1.63830i
$926$	−9.79263	−	16.9613i	−0.321806	−	0.557384i
$927$	25.4007	−	13.9191i	0.834267	−	0.457164i
$928$	3.42226	−	5.92752i	0.112341	−	0.194581i
$929$	3.05999	+	1.11375i	0.100395	+	0.0365408i	0.391729	−	0.920080i	$-0.371877\pi$
$929$	3.05999	+	1.11375i	0.100395	+	0.0365408i	−0.291334	+	0.956621i	$0.594099\pi$
$930$	−0.803268	+	1.12038i	−0.0263402	+	0.0367387i
$931$	0.0413610	+	0.0347060i	0.00135555	+	0.00113744i
$932$	−13.4771	−	11.3086i	−0.441456	−	0.370426i
$933$	12.9864	−	18.1132i	0.425156	−	0.592998i
$934$	−18.2247	−	6.63325i	−0.596331	−	0.217047i
$935$	−0.930227	+	1.61120i	−0.0304217	+	0.0526919i
$936$	0.0669102	−	2.99925i	0.00218703	−	0.0980337i
$937$	−17.0011	−	29.4468i	−0.555403	−	0.961987i	−0.997872	−	0.0652027i	$-0.979231\pi$
$937$	−17.0011	−	29.4468i	−0.555403	−	0.961987i	0.442469	−	0.896784i	$-0.354103\pi$
$938$	−1.72538	−	9.78512i	−0.0563357	−	0.319495i
$939$	10.4673	−	37.3913i	0.341587	−	1.22022i
$940$	−18.9952	+	6.91368i	−0.619554	+	0.225499i
$941$	4.27662	−	24.2539i	0.139414	−	0.790656i	−0.832270	−	0.554371i	$-0.812959\pi$
$941$	4.27662	−	24.2539i	0.139414	−	0.790656i	0.971684	−	0.236285i	$-0.0759299\pi$
$942$	12.1216	+	5.81783i	0.394942	+	0.189555i
$943$	11.2650	−	9.45246i	0.366839	−	0.307814i
$944$	3.57261			0.116279
$945$	−42.9953	+	40.2104i	−1.39864	+	1.30804i
$946$	0.963865			0.0313380
$947$	9.99027	−	8.38283i	0.324640	−	0.272405i	−0.465872	−	0.884852i	$-0.654259\pi$
$947$	9.99027	−	8.38283i	0.324640	−	0.272405i	0.790512	+	0.612447i	$0.209815\pi$
$948$	8.50890	−	5.81766i	0.276356	−	0.188949i
$949$	−2.34983	+	13.3265i	−0.0762787	+	0.432598i
$950$	−14.5150	+	5.28301i	−0.470927	+	0.171404i
$951$	57.5534	−	14.7354i	1.86630	−	0.477830i
$952$	−2.29306	−	13.0046i	−0.0743185	−	0.421481i
$953$	−7.00421	−	12.1316i	−0.226888	−	0.392982i	0.729996	−	0.683452i	$-0.239522\pi$
$953$	−7.00421	−	12.1316i	−0.226888	−	0.392982i	−0.956884	+	0.290469i	$0.906189\pi$
$954$	−13.1331	+	14.9607i	−0.425201	+	0.484371i
$955$	18.9966	−	32.9031i	0.614715	−	1.06472i
$956$	−5.09018	−	1.85267i	−0.164628	−	0.0599198i
$957$	−0.422819	−	0.933788i	−0.0136678	−	0.0301851i
$958$	20.7105	+	17.3781i	0.669125	+	0.561462i
$959$	−12.8142	−	10.7524i	−0.413792	−	0.347213i
$960$	−7.40574	−	0.731229i	−0.239019	−	0.0236003i
$961$	29.0982	+	10.5909i	0.938652	+	0.341642i
$962$	1.87950	−	3.25539i	0.0605975	−	0.104958i
$963$	53.6104	−	8.22461i	1.72757	−	0.265035i
$964$	−11.9120	−	20.6321i	−0.383658	−	0.664516i
$965$	14.9066	+	84.5397i	0.479861	+	2.72143i
$966$	−14.6919	−	15.0234i	−0.472705	−	0.483368i
$967$	−42.0105	+	15.2906i	−1.35097	+	0.491712i	−0.913250	−	0.407401i	$-0.866435\pi$
$967$	−42.0105	+	15.2906i	−1.35097	+	0.491712i	−0.437718	+	0.899113i	$0.644213\pi$
$968$	1.90883	−	10.8255i	0.0613522	−	0.347945i
$969$	0.756927	+	9.92545i	0.0243160	+	0.318852i
$970$	9.72555	−	8.16070i	0.312268	−	0.262024i
$971$	−23.5082			−0.754415			−0.377207	−	0.926129i	$-0.623116\pi$
$971$	−23.5082			−0.754415			−0.377207	+	0.926129i	$0.623116\pi$
$972$	15.2588	−	3.18911i	0.489425	−	0.102291i
$973$	19.3643			0.620790
$974$	14.0545	−	11.7931i	0.450334	−	0.377875i
$975$	1.77275	+	23.2457i	0.0567733	+	0.744459i
$976$	2.50953	−	14.2323i	0.0803282	−	0.455564i
$977$	−16.3654	+	5.95651i	−0.523575	+	0.190566i	−0.590267	−	0.807208i	$-0.700978\pi$
$977$	−16.3654	+	5.95651i	−0.523575	+	0.190566i	0.0666924	+	0.997774i	$0.478755\pi$
$978$	−1.94744	−	1.99137i	−0.0622723	−	0.0636770i
$979$	−0.0257182	−	0.145855i	−0.000821959	−	0.00466156i
$980$	−0.101073	−	0.175063i	−0.00322865	−	0.00559218i
$981$	39.3456	−	6.03619i	1.25621	−	0.192721i
$982$	0.0770582	−	0.133469i	0.00245903	−	0.00425916i
$983$	1.90241	+	0.692420i	0.0606774	+	0.0220848i	0.372181	−	0.928160i	$-0.378610\pi$
$983$	1.90241	+	0.692420i	0.0606774	+	0.0220848i	−0.311503	+	0.950245i	$0.600832\pi$
$984$	5.50915	+	0.543963i	0.175625	+	0.0173409i
$985$	19.1974	+	16.1085i	0.611680	+	0.513260i
$986$	26.2577	+	22.0329i	0.836217	+	0.701669i
$987$	−8.86331	−	19.5745i	−0.282122	−	0.623062i
$988$	1.07839	+	0.392500i	0.0343080	+	0.0124871i
$989$	−25.6442	+	44.4171i	−0.815439	+	1.41238i
$990$	−0.735249	+	0.837565i	−0.0233677	+	0.0266196i
$991$	−26.7157	−	46.2729i	−0.848651	−	1.46991i	−0.882412	−	0.470477i	$-0.844082\pi$
$991$	−26.7157	−	46.2729i	−0.848651	−	1.46991i	0.0337616	−	0.999430i	$-0.489251\pi$
$992$	−0.0321683	−	0.182436i	−0.00102134	−	0.00579234i
$993$	21.1372	−	5.41179i	0.670770	−	0.171738i
$994$	−14.3062	+	5.20702i	−0.453764	+	0.165157i
$995$	17.6322	−	99.9972i	0.558979	−	3.17013i
$996$	−20.0529	+	13.7105i	−0.635402	+	0.434434i
$997$	1.19439	−	1.00221i	0.0378266	−	0.0317403i	−0.623678	−	0.781681i	$-0.714362\pi$
$997$	1.19439	−	1.00221i	0.0378266	−	0.0317403i	0.661505	+	0.749941i	$0.269918\pi$
$998$	36.3866			1.15180
$999$	18.6871	+	5.68364i	0.591234	+	0.179822i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	702.2.w.d.157.7	✓	66
27.16	even	9	inner	702.2.w.d.313.7	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
702.2.w.d.157.7	✓	66	1.1	even	1	trivial
702.2.w.d.313.7	yes	66	27.16	even	9	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:	\( N \)	\(=\)	\( 702 = 2 \cdot 3^{3} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	702.w (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 + 0.642788i) q^{2} +(0.131706 + 1.72704i) q^{3} +(0.173648 - 0.984808i) q^{4} +(4.03739 - 1.46949i) q^{5} +(-1.21101 - 1.23833i) q^{6} +(-0.457883 - 2.59679i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.96531 + 0.454921i) q^{9} +(-2.14825 + 3.72088i) q^{10} +(-0.0812511 - 0.0295730i) q^{11} +(1.72367 + 0.170192i) q^{12} +(0.766044 + 0.642788i) q^{13} +(2.01994 + 1.69493i) q^{14} +(3.06961 + 6.77917i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(2.50398 - 4.33702i) q^{17} +(1.97914 - 2.25455i) q^{18} +(0.573797 + 0.993846i) q^{19} +(-0.746079 - 4.23122i) q^{20} +(4.42444 - 1.13279i) q^{21} +(0.0812511 - 0.0295730i) q^{22} +(-0.798945 + 4.53104i) q^{23} +(-1.42980 + 0.977579i) q^{24} +(10.3109 - 8.65185i) q^{25} -1.00000 q^{26} +(-1.17621 - 5.06128i) q^{27} -2.63684 q^{28} +(5.24320 - 4.39957i) q^{29} +(-6.70902 - 3.22004i) q^{30} +(0.0321683 - 0.182436i) q^{31} +(0.939693 - 0.342020i) q^{32} +(0.0403724 - 0.144219i) q^{33} +(0.869623 + 4.93188i) q^{34} +(-5.66460 - 9.81137i) q^{35} +(-0.0669102 + 2.99925i) q^{36} +(-1.87950 + 3.25539i) q^{37} +(-1.07839 - 0.392500i) q^{38} +(-1.00922 + 1.40765i) q^{39} +(3.29131 + 2.76174i) q^{40} +(-2.44841 - 2.05446i) q^{41} +(-2.66117 + 3.71174i) q^{42} +(10.4751 + 3.81263i) q^{43} +(-0.0432328 + 0.0748814i) q^{44} +(-11.3036 + 6.19418i) q^{45} +(-2.30047 - 3.98453i) q^{46} +(-0.816983 - 4.63334i) q^{47} +(0.466918 - 1.66793i) q^{48} +(0.0442115 - 0.0160917i) q^{49} +(-2.33729 + 13.2554i) q^{50} +(7.81998 + 3.75325i) q^{51} +(0.766044 - 0.642788i) q^{52} -6.63578 q^{53} +(4.15436 + 3.12111i) q^{54} -0.371499 q^{55} +(2.01994 - 1.69493i) q^{56} +(-1.64083 + 1.12186i) q^{57} +(-1.18854 + 6.74053i) q^{58} +(-3.35716 + 1.22190i) q^{59} +(7.20921 - 1.84578i) q^{60} +(2.50953 + 14.2323i) q^{61} +(0.0926250 + 0.160431i) q^{62} +(2.53910 + 7.49197i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(4.03739 + 1.46949i) q^{65} +(0.0617749 + 0.136429i) q^{66} +(-2.88658 - 2.42213i) q^{67} +(-3.83632 - 3.21905i) q^{68} +(-7.93050 - 0.783042i) q^{69} +(10.6460 + 3.87481i) q^{70} +(-2.88684 + 5.00016i) q^{71} +(-1.87663 - 2.34057i) q^{72} +(6.76607 + 11.7192i) q^{73} +(-0.652744 - 3.70189i) q^{74} +(16.3001 + 16.6678i) q^{75} +(1.07839 - 0.392500i) q^{76} +(-0.0395912 + 0.224533i) q^{77} +(-0.131706 - 1.72704i) q^{78} +(4.55880 - 3.82529i) q^{79} -4.29650 q^{80} +(8.58609 - 2.69796i) q^{81} +3.19618 q^{82} +(-10.7437 + 9.01506i) q^{83} +(-0.347288 - 4.55393i) q^{84} +(3.73633 - 21.1898i) q^{85} +(-10.4751 + 3.81263i) q^{86} +(8.28878 + 8.47575i) q^{87} +(-0.0150146 - 0.0851520i) q^{88} +(0.856441 + 1.48340i) q^{89} +(4.67751 - 12.0108i) q^{90} +(1.31842 - 2.28357i) q^{91} +(4.32347 + 1.57361i) q^{92} +(0.319310 + 0.0315280i) q^{93} +(3.60410 + 3.02420i) q^{94} +(3.77709 + 3.16935i) q^{95} +(0.714444 + 1.57784i) q^{96} +(-2.77672 - 1.01064i) q^{97} +(-0.0235244 + 0.0407455i) q^{98} +(0.254388 + 0.0507301i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q + 3 q^{5} + 9 q^{6} - 3 q^{7} + 33 q^{8} - 6 q^{9} - 9 q^{10} - 3 q^{11} + 3 q^{14} - 27 q^{15} + 12 q^{17} - 12 q^{18} - 21 q^{19} - 6 q^{20} - 18 q^{21} + 3 q^{22} - 3 q^{25} - 66 q^{26} + 9 q^{27}+ \cdots - 15 q^{99}+O(q^{100}) \) 66 * q + 3 * q^5 + 9 * q^6 - 3 * q^7 + 33 * q^8 - 6 * q^9 - 9 * q^10 - 3 * q^11 + 3 * q^14 - 27 * q^15 + 12 * q^17 - 12 * q^18 - 21 * q^19 - 6 * q^20 - 18 * q^21 + 3 * q^22 - 3 * q^25 - 66 * q^26 + 9 * q^27 + 18 * q^28 + 39 * q^29 + 9 * q^30 - 9 * q^31 + 15 * q^33 - 6 * q^34 - 9 * q^35 - 3 * q^36 - 21 * q^37 + 6 * q^38 - 3 * q^40 + 6 * q^41 + 9 * q^42 - 6 * q^43 + 3 * q^44 - 9 * q^45 - 9 * q^46 - 36 * q^47 + 9 * q^48 - 9 * q^49 + 3 * q^50 + 21 * q^51 - 60 * q^53 + 27 * q^54 + 84 * q^55 + 3 * q^56 + 87 * q^57 + 24 * q^58 - 30 * q^59 + 6 * q^60 - 12 * q^61 + 21 * q^62 - 60 * q^63 - 33 * q^64 + 3 * q^65 + 24 * q^66 - 3 * q^67 + 15 * q^68 - 87 * q^69 - 21 * q^70 + 3 * q^71 + 6 * q^72 - 15 * q^73 + 6 * q^74 - 117 * q^75 - 6 * q^76 + 27 * q^77 + 27 * q^79 - 18 * q^80 + 78 * q^81 + 24 * q^82 - 24 * q^83 + 33 * q^84 + 45 * q^85 + 6 * q^86 + 18 * q^87 - 6 * q^88 + 36 * q^89 - 87 * q^90 - 9 * q^91 - 63 * q^93 - 36 * q^94 + 63 * q^95 - 102 * q^97 + 72 * q^98 - 15 * q^99

Introduction

L-functions

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