LMFDB - Embedded newform 287.2.h.c.57.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(57,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("287.57");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			57.8
Character	$\chi$	$=$	287.57
Dual form			287.2.h.c.141.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.450739 - 1.38723i) q^{2} +0.560317 q^{3} +(-0.103210 - 0.0749862i) q^{4} +(0.738519 + 0.536566i) q^{5} +(0.252556 - 0.777289i) q^{6} +(0.309017 + 0.951057i) q^{7} +(2.20955 - 1.60533i) q^{8} -2.68604 q^{9} +O(q^{10})$	\(q+(0.450739 - 1.38723i) q^{2} +0.560317 q^{3} +(-0.103210 - 0.0749862i) q^{4} +(0.738519 + 0.536566i) q^{5} +(0.252556 - 0.777289i) q^{6} +(0.309017 + 0.951057i) q^{7} +(2.20955 - 1.60533i) q^{8} -2.68604 q^{9} +(1.07722 - 0.782646i) q^{10} +(3.83586 - 2.78691i) q^{11} +(-0.0578301 - 0.0420160i) q^{12} +(-0.942287 + 2.90006i) q^{13} +1.45862 q^{14} +(0.413805 + 0.300647i) q^{15} +(-1.30988 - 4.03141i) q^{16} +(2.35574 - 1.71154i) q^{17} +(-1.21070 + 3.72616i) q^{18} +(-0.344645 - 1.06071i) q^{19} +(-0.0359873 - 0.110757i) q^{20} +(0.173147 + 0.532893i) q^{21} +(-2.13712 - 6.57739i) q^{22} +(-2.29930 + 7.07653i) q^{23} +(1.23805 - 0.899496i) q^{24} +(-1.28758 - 3.96275i) q^{25} +(3.59833 + 2.61434i) q^{26} -3.18599 q^{27} +(0.0394226 - 0.121330i) q^{28} +(-4.29852 - 3.12306i) q^{29} +(0.603584 - 0.438530i) q^{30} +(-4.81770 + 3.50026i) q^{31} -0.720590 q^{32} +(2.14930 - 1.56156i) q^{33} +(-1.31248 - 4.03941i) q^{34} +(-0.282089 + 0.868181i) q^{35} +(0.277226 + 0.201416i) q^{36} +(-1.13743 - 0.826392i) q^{37} -1.62679 q^{38} +(-0.527979 + 1.62495i) q^{39} +2.49317 q^{40} +(-3.60918 + 5.28903i) q^{41} +0.817290 q^{42} +(0.0367270 - 0.113034i) q^{43} -0.604878 q^{44} +(-1.98370 - 1.44124i) q^{45} +(8.78039 + 6.37933i) q^{46} +(-1.55176 + 4.77581i) q^{47} +(-0.733950 - 2.25887i) q^{48} +(-0.809017 + 0.587785i) q^{49} -6.07762 q^{50} +(1.31996 - 0.959006i) q^{51} +(0.314718 - 0.228656i) q^{52} +(-0.150300 - 0.109200i) q^{53} +(-1.43605 + 4.41970i) q^{54} +4.32822 q^{55} +(2.20955 + 1.60533i) q^{56} +(-0.193111 - 0.594333i) q^{57} +(-6.26992 + 4.55536i) q^{58} +(1.53979 - 4.73898i) q^{59} +(-0.0201643 - 0.0620593i) q^{60} +(2.40154 + 7.39117i) q^{61} +(2.68415 + 8.26096i) q^{62} +(-0.830034 - 2.55458i) q^{63} +(2.29497 - 7.06319i) q^{64} +(-2.25197 + 1.63615i) q^{65} +(-1.19747 - 3.68542i) q^{66} +(-3.78668 - 2.75118i) q^{67} -0.371477 q^{68} +(-1.28834 + 3.96510i) q^{69} +(1.07722 + 0.782646i) q^{70} +(-2.11106 + 1.53377i) q^{71} +(-5.93496 + 4.31200i) q^{72} +15.8066 q^{73} +(-1.65908 + 1.20539i) q^{74} +(-0.721451 - 2.22040i) q^{75} +(-0.0439678 + 0.135319i) q^{76} +(3.83586 + 2.78691i) q^{77} +(2.01620 + 1.46486i) q^{78} -9.40918 q^{79} +(1.19574 - 3.68011i) q^{80} +6.27297 q^{81} +(5.71031 + 7.39073i) q^{82} +1.48521 q^{83} +(0.0220891 - 0.0679834i) q^{84} +2.65811 q^{85} +(-0.140250 - 0.101898i) q^{86} +(-2.40854 - 1.74990i) q^{87} +(4.00161 - 12.3157i) q^{88} +(4.17670 + 12.8546i) q^{89} +(-2.89346 + 2.10222i) q^{90} -3.04930 q^{91} +(0.767952 - 0.557950i) q^{92} +(-2.69944 + 1.96126i) q^{93} +(5.92572 + 4.30529i) q^{94} +(0.314613 - 0.968279i) q^{95} -0.403759 q^{96} +(-7.55051 - 5.48577i) q^{97} +(0.450739 + 1.38723i) q^{98} +(-10.3033 + 7.48578i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9}+O(q^{10}) $ 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9	\( 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9} + 5 q^{10} - 10 q^{11} - 12 q^{12} - 17 q^{13} + 2 q^{14} - 3 q^{15} - 23 q^{16} - 8 q^{17} - 2 q^{18} + 23 q^{19} - 13 q^{22} - q^{23} + 46 q^{24} - 34 q^{25} + 3 q^{26} - 18 q^{28} - 18 q^{29} - 19 q^{30} - 3 q^{31} - 26 q^{32} - 6 q^{33} - 44 q^{34} + q^{35} - 38 q^{36} - 5 q^{37} + 28 q^{38} + 17 q^{39} + 14 q^{40} - 11 q^{41} - 24 q^{42} + 13 q^{43} + 66 q^{44} + 43 q^{45} - 20 q^{46} - 27 q^{47} + 39 q^{48} - 10 q^{49} + 106 q^{50} - 18 q^{51} - 30 q^{52} - 30 q^{53} - 109 q^{54} + 118 q^{55} + 16 q^{56} - 40 q^{57} - 23 q^{58} - 37 q^{59} + 96 q^{60} - 41 q^{61} - 13 q^{62} - 30 q^{63} + 10 q^{64} + 6 q^{65} - 30 q^{66} - 6 q^{67} - 26 q^{68} - 31 q^{69} + 5 q^{70} - 31 q^{71} + 107 q^{72} - 46 q^{73} + 75 q^{74} - 61 q^{75} + 43 q^{76} - 10 q^{77} + 34 q^{78} + 76 q^{79} + 64 q^{80} + 16 q^{81} - 16 q^{82} - 52 q^{83} - 7 q^{84} + 86 q^{85} - 17 q^{86} - 20 q^{87} - 52 q^{88} - 16 q^{89} + 6 q^{90} + 18 q^{91} + 97 q^{92} + 32 q^{93} - 5 q^{94} - 102 q^{95} + 38 q^{96} - 18 q^{97} - 3 q^{98} - 71 q^{99}+O(q^{100}) \) 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9 + 5 * q^10 - 10 * q^11 - 12 * q^12 - 17 * q^13 + 2 * q^14 - 3 * q^15 - 23 * q^16 - 8 * q^17 - 2 * q^18 + 23 * q^19 - 13 * q^22 - q^23 + 46 * q^24 - 34 * q^25 + 3 * q^26 - 18 * q^28 - 18 * q^29 - 19 * q^30 - 3 * q^31 - 26 * q^32 - 6 * q^33 - 44 * q^34 + q^35 - 38 * q^36 - 5 * q^37 + 28 * q^38 + 17 * q^39 + 14 * q^40 - 11 * q^41 - 24 * q^42 + 13 * q^43 + 66 * q^44 + 43 * q^45 - 20 * q^46 - 27 * q^47 + 39 * q^48 - 10 * q^49 + 106 * q^50 - 18 * q^51 - 30 * q^52 - 30 * q^53 - 109 * q^54 + 118 * q^55 + 16 * q^56 - 40 * q^57 - 23 * q^58 - 37 * q^59 + 96 * q^60 - 41 * q^61 - 13 * q^62 - 30 * q^63 + 10 * q^64 + 6 * q^65 - 30 * q^66 - 6 * q^67 - 26 * q^68 - 31 * q^69 + 5 * q^70 - 31 * q^71 + 107 * q^72 - 46 * q^73 + 75 * q^74 - 61 * q^75 + 43 * q^76 - 10 * q^77 + 34 * q^78 + 76 * q^79 + 64 * q^80 + 16 * q^81 - 16 * q^82 - 52 * q^83 - 7 * q^84 + 86 * q^85 - 17 * q^86 - 20 * q^87 - 52 * q^88 - 16 * q^89 + 6 * q^90 + 18 * q^91 + 97 * q^92 + 32 * q^93 - 5 * q^94 - 102 * q^95 + 38 * q^96 - 18 * q^97 - 3 * q^98 - 71 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.450739	−	1.38723i	0.318720	−	0.980920i	−0.655476	−	0.755216i	$-0.727532\pi$
$2$	0.450739	−	1.38723i	0.318720	−	0.980920i	0.974196	−	0.225704i	$-0.0724682\pi$
$3$	0.560317			0.323499			0.161750	−	0.986832i	$-0.448286\pi$
$3$	0.560317			0.323499			0.161750	+	0.986832i	$0.448286\pi$
$4$	−0.103210	−	0.0749862i	−0.0516048	−	0.0374931i
$5$	0.738519	+	0.536566i	0.330276	+	0.239959i	0.740548	−	0.672004i	$-0.234566\pi$
$5$	0.738519	+	0.536566i	0.330276	+	0.239959i	−0.410272	+	0.911963i	$0.634566\pi$
$6$	0.252556	−	0.777289i	0.103106	−	0.317327i
$7$	0.309017	+	0.951057i	0.116797	+	0.359466i
$7$	0.309017	+	0.951057i	0.116797	+	0.359466i
$8$	2.20955	−	1.60533i	0.781195	−	0.567572i
$9$	−2.68604			−0.895348
$10$	1.07722	−	0.782646i	0.340647	−	0.247494i
$11$	3.83586	−	2.78691i	1.15655	−	0.840286i	0.167216	−	0.985920i	$-0.446522\pi$
$11$	3.83586	−	2.78691i	1.15655	−	0.840286i	0.989339	+	0.145634i	$0.0465222\pi$
$12$	−0.0578301	−	0.0420160i	−0.0166941	−	0.0121290i
$13$	−0.942287	+	2.90006i	−0.261343	+	0.804332i	0.731170	+	0.682195i	$0.238975\pi$
$13$	−0.942287	+	2.90006i	−0.261343	+	0.804332i	−0.992513	+	0.122137i	$0.961025\pi$
$14$	1.45862			0.389833
$15$	0.413805	+	0.300647i	0.106844	+	0.0776267i
$16$	−1.30988	−	4.03141i	−0.327471	−	1.00785i
$17$	2.35574	−	1.71154i	0.571350	−	0.415110i	−0.264245	−	0.964455i	$-0.585123\pi$
$17$	2.35574	−	1.71154i	0.571350	−	0.415110i	0.835595	+	0.549345i	$0.185123\pi$
$18$	−1.21070	+	3.72616i	−0.285366	+	0.878265i
$19$	−0.344645	−	1.06071i	−0.0790670	−	0.243343i	0.903708	−	0.428149i	$-0.140834\pi$
$19$	−0.344645	−	1.06071i	−0.0790670	−	0.243343i	−0.982775	+	0.184806i	$0.940834\pi$
$20$	−0.0359873	−	0.110757i	−0.00804700	−	0.0247661i
$21$	0.173147	+	0.532893i	0.0377839	+	0.116287i
$22$	−2.13712	−	6.57739i	−0.455636	−	1.40230i
$23$	−2.29930	+	7.07653i	−0.479438	+	1.47556i	0.360440	+	0.932782i	$0.382627\pi$
$23$	−2.29930	+	7.07653i	−0.479438	+	1.47556i	−0.839878	+	0.542776i	$0.817373\pi$
$24$	1.23805	−	0.899496i	0.252716	−	0.183609i
$25$	−1.28758	−	3.96275i	−0.257515	−	0.792551i
$26$	3.59833	+	2.61434i	0.705690	+	0.512714i
$27$	−3.18599			−0.613144
$28$	0.0394226	−	0.121330i	0.00745017	−	0.0229293i
$29$	−4.29852	−	3.12306i	−0.798216	−	0.579938i	0.112174	−	0.993689i	$-0.464219\pi$
$29$	−4.29852	−	3.12306i	−0.798216	−	0.579938i	−0.910390	+	0.413751i	$0.864219\pi$
$30$	0.603584	−	0.438530i	0.110199	−	0.0800642i
$31$	−4.81770	+	3.50026i	−0.865284	+	0.628666i	−0.929317	−	0.369282i	$-0.879604\pi$
$31$	−4.81770	+	3.50026i	−0.865284	+	0.628666i	0.0640331	+	0.997948i	$0.479604\pi$
$32$	−0.720590			−0.127383
$33$	2.14930	−	1.56156i	0.374145	−	0.271832i
$34$	−1.31248	−	4.03941i	−0.225089	−	0.692753i
$35$	−0.282089	+	0.868181i	−0.0476818	+	0.146749i
$36$	0.277226	+	0.201416i	0.0462043	+	0.0335694i
$37$	−1.13743	−	0.826392i	−0.186992	−	0.135858i	0.490351	−	0.871525i	$-0.336869\pi$
$37$	−1.13743	−	0.826392i	−0.186992	−	0.135858i	−0.677343	+	0.735667i	$0.736869\pi$
$38$	−1.62679			−0.263901
$39$	−0.527979	+	1.62495i	−0.0845444	+	0.260201i
$40$	2.49317			0.394204
$41$	−3.60918	+	5.28903i	−0.563659	+	0.826008i
$41$	−3.60918	+	5.28903i	−0.563659	+	0.826008i
$42$	0.817290			0.126111
$43$	0.0367270	−	0.113034i	0.00560081	−	0.0172375i	−0.948217	−	0.317623i	$-0.897115\pi$
$43$	0.0367270	−	0.113034i	0.00560081	−	0.0172375i	0.953818	+	0.300386i	$0.0971153\pi$
$44$	−0.604878			−0.0911887
$45$	−1.98370	−	1.44124i	−0.295712	−	0.214847i
$46$	8.78039	+	6.37933i	1.29460	+	0.940581i
$47$	−1.55176	+	4.77581i	−0.226347	+	0.696624i	0.771805	+	0.635859i	$0.219354\pi$
$47$	−1.55176	+	4.77581i	−0.226347	+	0.696624i	−0.998152	+	0.0607651i	$0.980646\pi$
$48$	−0.733950	−	2.25887i	−0.105937	−	0.326039i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	−6.07762			−0.859505
$51$	1.31996	−	0.959006i	0.184831	−	0.134288i
$52$	0.314718	−	0.228656i	0.0436435	−	0.0317088i
$53$	−0.150300	−	0.109200i	−0.0206453	−	0.0149997i	0.577415	−	0.816451i	$-0.304062\pi$
$53$	−0.150300	−	0.109200i	−0.0206453	−	0.0149997i	−0.598060	+	0.801451i	$0.704062\pi$
$54$	−1.43605	+	4.41970i	−0.195421	+	0.601445i
$55$	4.32822			0.583617
$56$	2.20955	+	1.60533i	0.295264	+	0.214522i
$57$	−0.193111	−	0.594333i	−0.0255781	−	0.0787214i
$58$	−6.26992	+	4.55536i	−0.823280	+	0.598148i
$59$	1.53979	−	4.73898i	0.200463	−	0.616962i	−0.799406	−	0.600791i	$-0.794852\pi$
$59$	1.53979	−	4.73898i	0.200463	−	0.616962i	0.999869	−	0.0161711i	$-0.00514766\pi$
$60$	−0.0201643	−	0.0620593i	−0.00260320	−	0.00801182i
$61$	2.40154	+	7.39117i	0.307485	+	0.946342i	0.978738	+	0.205114i	$0.0657565\pi$
$61$	2.40154	+	7.39117i	0.307485	+	0.946342i	−0.671253	+	0.741228i	$0.734244\pi$
$62$	2.68415	+	8.26096i	0.340887	+	1.04914i
$63$	−0.830034	−	2.55458i	−0.104574	−	0.321847i
$64$	2.29497	−	7.06319i	0.286871	−	0.882899i
$65$	−2.25197	+	1.63615i	−0.279322	+	0.202940i
$66$	−1.19747	−	3.68542i	−0.147398	−	0.453644i
$67$	−3.78668	−	2.75118i	−0.462617	−	0.336111i	0.331940	−	0.943300i	$-0.392297\pi$
$67$	−3.78668	−	2.75118i	−0.462617	−	0.336111i	−0.794557	+	0.607190i	$0.792297\pi$
$68$	−0.371477			−0.0450482
$69$	−1.28834	+	3.96510i	−0.155098	+	0.477342i
$70$	1.07722	+	0.782646i	0.128752	+	0.0935440i
$71$	−2.11106	+	1.53377i	−0.250536	+	0.182025i	−0.705964	−	0.708247i	$-0.749486\pi$
$71$	−2.11106	+	1.53377i	−0.250536	+	0.182025i	0.455428	+	0.890273i	$0.349486\pi$
$72$	−5.93496	+	4.31200i	−0.699442	+	0.508174i
$73$	15.8066			1.85002			0.925010	−	0.379944i	$-0.124057\pi$
$73$	15.8066			1.85002			0.925010	+	0.379944i	$0.124057\pi$
$74$	−1.65908	+	1.20539i	−0.192864	+	0.140124i
$75$	−0.721451	−	2.22040i	−0.0833060	−	0.256390i
$76$	−0.0439678	+	0.135319i	−0.00504345	+	0.0155222i
$77$	3.83586	+	2.78691i	0.437137	+	0.317598i
$78$	2.01620	+	1.46486i	0.228290	+	0.165863i
$79$	−9.40918			−1.05862			−0.529308	−	0.848430i	$-0.677548\pi$
$79$	−9.40918			−1.05862			−0.529308	+	0.848430i	$0.677548\pi$
$80$	1.19574	−	3.68011i	0.133688	−	0.411449i
$81$	6.27297			0.696997
$82$	5.71031	+	7.39073i	0.630598	+	0.816170i
$83$	1.48521			0.163023			0.0815117	−	0.996672i	$-0.474025\pi$
$83$	1.48521			0.163023			0.0815117	+	0.996672i	$0.474025\pi$
$84$	0.0220891	−	0.0679834i	0.00241012	−	0.00741759i
$85$	2.65811			0.288313
$86$	−0.140250	−	0.101898i	−0.0151235	−	0.0109879i
$87$	−2.40854	−	1.74990i	−0.258222	−	0.187609i
$88$	4.00161	−	12.3157i	0.426573	−	1.31286i
$89$	4.17670	+	12.8546i	0.442730	+	1.36258i	0.884955	+	0.465677i	$0.154189\pi$
$89$	4.17670	+	12.8546i	0.442730	+	1.36258i	−0.442225	+	0.896904i	$0.645811\pi$
$90$	−2.89346	+	2.10222i	−0.304997	+	0.221594i
$91$	−3.04930			−0.319654
$92$	0.767952	−	0.557950i	0.0800645	−	0.0581703i
$93$	−2.69944	+	1.96126i	−0.279919	+	0.203373i
$94$	5.92572	+	4.30529i	0.611191	+	0.444057i
$95$	0.314613	−	0.968279i	0.0322786	−	0.0993433i
$96$	−0.403759			−0.0412084
$97$	−7.55051	−	5.48577i	−0.766638	−	0.556995i	0.134301	−	0.990941i	$-0.457121\pi$
$97$	−7.55051	−	5.48577i	−0.766638	−	0.556995i	−0.900939	+	0.433945i	$0.857121\pi$
$98$	0.450739	+	1.38723i	0.0455315	+	0.140131i
$99$	−10.3033	+	7.48578i	−1.03552	+	0.752349i
$100$	−0.164262	+	0.505545i	−0.0164262	+	0.0505545i
$101$	5.59250	+	17.2120i	0.556475	+	1.71265i	0.692017	+	0.721881i	$0.256722\pi$
$101$	5.59250	+	17.2120i	0.556475	+	1.71265i	−0.135542	+	0.990772i	$0.543278\pi$
$102$	−0.735406	−	2.26335i	−0.0728161	−	0.224105i
$103$	−5.36305	−	16.5058i	−0.528437	−	1.62636i	−0.757418	−	0.652930i	$-0.773540\pi$
$103$	−5.36305	−	16.5058i	−0.528437	−	1.62636i	0.228982	−	0.973431i	$-0.426460\pi$
$104$	2.57354	+	7.92053i	0.252356	+	0.776672i
$105$	−0.158059	+	0.486457i	−0.0154250	+	0.0474733i
$106$	−0.219231	+	0.159281i	−0.0212936	+	0.0154707i
$107$	−5.36877	−	16.5234i	−0.519019	−	1.59738i	−0.775848	−	0.630919i	$-0.782678\pi$
$107$	−5.36877	−	16.5234i	−0.519019	−	1.59738i	0.256829	−	0.966457i	$-0.417322\pi$
$108$	0.328825	+	0.238905i	0.0316412	+	0.0229886i
$109$	−9.49608			−0.909559			−0.454780	−	0.890604i	$-0.650282\pi$
$109$	−9.49608			−0.909559			−0.454780	+	0.890604i	$0.650282\pi$
$110$	1.95089	−	6.00424i	0.186010	−	0.572481i
$111$	−0.637322	−	0.463041i	−0.0604919	−	0.0439499i
$112$	3.42932	−	2.49155i	0.324040	−	0.235429i
$113$	4.38703	−	3.18737i	0.412697	−	0.299842i	−0.361996	−	0.932180i	$-0.617904\pi$
$113$	4.38703	−	3.18737i	0.412697	−	0.299842i	0.774693	+	0.632338i	$0.217904\pi$
$114$	−0.911520			−0.0853716
$115$	−5.49510	+	3.99242i	−0.512421	+	0.372295i
$116$	0.209463	+	0.644660i	0.0194481	+	0.0598552i
$117$	2.53103	−	7.78969i	0.233993	−	0.720157i
$118$	−5.88001	−	4.27208i	−0.541299	−	0.393277i
$119$	2.35574	+	1.71154i	0.215950	+	0.156897i
$120$	1.39696			0.127525
$121$	3.54773	−	10.9188i	0.322521	−	0.992618i
$122$	11.3357			1.02629
$123$	−2.02228	+	2.96353i	−0.182343	+	0.267213i
$124$	0.759704			0.0682235
$125$	2.58582	−	7.95835i	0.231283	−	0.711816i
$126$	−3.91792			−0.349036
$127$	5.66744	+	4.11763i	0.502904	+	0.365381i	0.810125	−	0.586257i	$-0.199399\pi$
$127$	5.66744	+	4.11763i	0.502904	+	0.365381i	−0.307221	+	0.951638i	$0.599399\pi$
$128$	−9.92978	−	7.21441i	−0.877677	−	0.637670i
$129$	0.0205788	−	0.0633349i	0.00181186	−	0.00557633i
$130$	1.25467	+	3.86148i	0.110042	+	0.338674i
$131$	0.441949	−	0.321095i	0.0386133	−	0.0280542i	−0.568311	−	0.822814i	$-0.692403\pi$
$131$	0.441949	−	0.321095i	0.0386133	−	0.0280542i	0.606924	+	0.794760i	$0.292403\pi$
$132$	−0.338923			−0.0294995
$133$	0.902293	−	0.655554i	0.0782387	−	0.0568438i
$134$	−5.52333	+	4.01293i	−0.477143	+	0.346665i
$135$	−2.35291	−	1.70949i	−0.202506	−	0.147130i
$136$	2.45753	−	7.56349i	0.210731	−	0.648564i
$137$	11.9204			1.01843			0.509213	−	0.860640i	$-0.329937\pi$
$137$	11.9204			1.01843			0.509213	+	0.860640i	$0.329937\pi$
$138$	4.91980	+	3.57445i	0.418801	+	0.304277i
$139$	−3.95999	−	12.1876i	−0.335882	−	1.03374i	−0.966286	−	0.257471i	$-0.917111\pi$
$139$	−3.95999	−	12.1876i	−0.335882	−	1.03374i	0.630404	−	0.776267i	$-0.282889\pi$
$140$	0.0942159	−	0.0684519i	0.00796270	−	0.00578524i
$141$	−0.869475	+	2.67597i	−0.0732230	+	0.225357i
$142$	1.17616	+	3.61985i	0.0987012	+	0.303771i
$143$	4.46774	+	13.7503i	0.373611	+	1.14986i
$144$	3.51841	+	10.8285i	0.293201	+	0.902379i
$145$	−1.49882	−	4.61288i	−0.124470	−	0.383079i
$146$	7.12463	−	21.9274i	0.589639	−	1.81472i
$147$	−0.453306	+	0.329346i	−0.0373880	+	0.0271640i
$148$	0.0554258	+	0.170583i	0.00455598	+	0.0140218i
$149$	−7.33996	−	5.33279i	−0.601313	−	0.436879i	0.245032	−	0.969515i	$-0.421202\pi$
$149$	−7.33996	−	5.33279i	−0.601313	−	0.436879i	−0.846345	+	0.532636i	$0.821202\pi$
$150$	−3.40539			−0.278049
$151$	2.35121	−	7.23627i	0.191338	−	0.588879i	−0.808661	−	0.588274i	$-0.799807\pi$
$151$	2.35121	−	7.23627i	0.191338	−	0.588879i	1.00000		0.000604822i	$-0.000192521\pi$
$152$	−2.46431	−	1.79042i	−0.199882	−	0.145222i
$153$	−6.32761	+	4.59728i	−0.511557	+	0.371668i
$154$	5.59506	−	4.06505i	0.450863	−	0.327571i
$155$	−5.43608			−0.436637
$156$	0.176342	−	0.128120i	0.0141186	−	0.0102578i
$157$	−4.53183	−	13.9475i	−0.361679	−	1.11313i	−0.952034	−	0.305991i	$-0.901012\pi$
$157$	−4.53183	−	13.9475i	−0.361679	−	1.11313i	0.590355	−	0.807144i	$-0.298988\pi$
$158$	−4.24108	+	13.0527i	−0.337402	+	1.03842i
$159$	−0.0842158	−	0.0611863i	−0.00667874	−	0.00485239i
$160$	−0.532169	−	0.386644i	−0.0420717	−	0.0305669i
$161$	−7.44070			−0.586409
$162$	2.82747	−	8.70206i	0.222147	−	0.683698i
$163$	−1.50149			−0.117606			−0.0588030	−	0.998270i	$-0.518728\pi$
$163$	−1.50149			−0.117606			−0.0588030	+	0.998270i	$0.518728\pi$
$164$	0.769106	−	0.275240i	0.0600571	−	0.0214926i
$165$	2.42517			0.188799
$166$	0.669443	−	2.06033i	0.0519589	−	0.159913i
$167$	−22.5307			−1.74348			−0.871740	−	0.489969i	$-0.837008\pi$
$167$	−22.5307			−1.74348			−0.871740	+	0.489969i	$0.837008\pi$
$168$	1.23805	+	0.899496i	0.0955177	+	0.0693977i
$169$	2.99477	+	2.17583i	0.230367	+	0.167371i
$170$	1.19811	−	3.68741i	0.0918911	−	0.282812i
$171$	0.925733	+	2.84911i	0.0707925	+	0.217877i
$172$	−0.0122666	+	0.00891219i	−0.000935317	+	0.000679548i
$173$	15.9120			1.20976			0.604882	−	0.796315i	$-0.293220\pi$
$173$	15.9120			1.20976			0.604882	+	0.796315i	$0.293220\pi$
$174$	−3.51314	+	2.55245i	−0.266330	+	0.193500i
$175$	3.37092	−	2.44912i	0.254818	−	0.185136i
$176$	−16.2597	−	11.8134i	−1.22562	−	0.890467i
$177$	0.862769	−	2.65533i	0.0648497	−	0.199587i
$178$	19.7149			1.47769
$179$	7.45170	+	5.41398i	0.556966	+	0.404660i	0.830347	−	0.557246i	$-0.188142\pi$
$179$	7.45170	+	5.41398i	0.556966	+	0.404660i	−0.273381	+	0.961906i	$0.588142\pi$
$180$	0.0966635	+	0.297500i	0.00720487	+	0.0221743i
$181$	11.7404	−	8.52993i	0.872660	−	0.634025i	−0.0586393	−	0.998279i	$-0.518676\pi$
$181$	11.7404	−	8.52993i	0.872660	−	0.634025i	0.931299	+	0.364255i	$0.118676\pi$
$182$	−1.37444	+	4.23009i	−0.101880	+	0.313555i
$183$	1.34562	+	4.14140i	0.0994712	+	0.306141i
$184$	6.27976	+	19.3271i	0.462950	+	1.42481i
$185$	−0.396601	−	1.22061i	−0.0291587	−	0.0897412i
$186$	1.50397	+	4.62876i	0.110277	+	0.339397i
$187$	4.26635	−	13.1305i	0.311986	−	0.960195i
$188$	0.518276	−	0.376550i	0.0377992	−	0.0274627i
$189$	−0.984524	−	3.03005i	−0.0716136	−	0.220404i
$190$	−1.20142	−	0.872881i	−0.0871600	−	0.0633254i
$191$	10.2131			0.738990			0.369495	−	0.929233i	$-0.379531\pi$
$191$	10.2131			0.738990			0.369495	+	0.929233i	$0.379531\pi$
$192$	1.28591	−	3.95763i	0.0928026	−	0.285617i
$193$	9.55935	+	6.94528i	0.688097	+	0.499932i	0.876034	−	0.482249i	$-0.160180\pi$
$193$	9.55935	+	6.94528i	0.688097	+	0.499932i	−0.187937	+	0.982181i	$0.560180\pi$
$194$	−11.0133	+	8.00165i	−0.790711	+	0.574485i
$195$	−1.26182	+	0.916764i	−0.0903606	+	0.0656508i
$196$	0.127574			0.00911244
$197$	20.4426	−	14.8524i	1.45647	−	1.05819i	0.472207	−	0.881488i	$-0.343458\pi$
$197$	20.4426	−	14.8524i	1.45647	−	1.05819i	0.984265	−	0.176701i	$-0.0565425\pi$
$198$	5.74041	+	17.6672i	0.407953	+	1.25555i
$199$	0.822374	−	2.53101i	0.0582966	−	0.179418i	−0.917668	−	0.397348i	$-0.869930\pi$
$199$	0.822374	−	2.53101i	0.0582966	−	0.179418i	0.975964	+	0.217930i	$0.0699305\pi$
$200$	−9.20652	−	6.68893i	−0.650999	−	0.472979i
$201$	−2.12174	−	1.54153i	−0.149656	−	0.108731i
$202$	26.3977			1.85734
$203$	1.64189	−	5.05322i	0.115238	−	0.354666i
$204$	−0.208145			−0.0145730
$205$	−5.50336	+	1.96949i	−0.384371	+	0.137555i
$206$	−25.3146			−1.76375
$207$	6.17603	−	19.0079i	0.429264	−	1.32114i
$208$	12.9256			0.896230
$209$	−4.27812	−	3.10823i	−0.295923	−	0.215001i
$210$	0.603584	+	0.438530i	0.0416513	+	0.0302614i
$211$	−4.95166	+	15.2396i	−0.340886	+	1.04914i	0.622863	+	0.782331i	$0.285969\pi$
$211$	−4.95166	+	15.2396i	−0.340886	+	1.04914i	−0.963749	+	0.266809i	$0.914031\pi$
$212$	0.00732398	+	0.0225409i	0.000503013	+	0.00154811i
$213$	−1.18286	+	0.859398i	−0.0810482	+	0.0588850i
$214$	−25.3417			−1.73232
$215$	0.0877737	−	0.0637714i	0.00598612	−	0.00434917i
$216$	−7.03961	+	5.11458i	−0.478985	+	0.348003i
$217$	−4.81770	−	3.50026i	−0.327047	−	0.237613i
$218$	−4.28025	+	13.1733i	−0.289895	+	0.892205i
$219$	8.85669			0.598480
$220$	−0.446714	−	0.324557i	−0.0301174	−	0.0218816i
$221$	2.74380	+	8.44454i	0.184568	+	0.568041i
$222$	−0.929610	+	0.675402i	−0.0623914	+	0.0453300i
$223$	−7.01383	+	21.5863i	−0.469681	+	1.44553i	0.383319	+	0.923616i	$0.374781\pi$
$223$	−7.01383	+	21.5863i	−0.469681	+	1.44553i	−0.852999	+	0.521912i	$0.825219\pi$
$224$	−0.222674	−	0.685322i	−0.0148781	−	0.0457900i
$225$	3.45849	+	10.6441i	0.230566	+	0.709609i
$226$	−2.44421	−	7.52249i	−0.162586	−	0.500389i
$227$	7.73355	+	23.8014i	0.513293	+	1.57975i	0.786366	+	0.617761i	$0.211960\pi$
$227$	7.73355	+	23.8014i	0.513293	+	1.57975i	−0.273072	+	0.961994i	$0.588040\pi$
$228$	−0.0246359	+	0.0758215i	−0.00163155	+	0.00502140i
$229$	−4.54267	+	3.30044i	−0.300188	+	0.218099i	−0.727675	−	0.685922i	$-0.759399\pi$
$229$	−4.54267	+	3.30044i	−0.300188	+	0.218099i	0.427487	+	0.904022i	$0.359399\pi$
$230$	3.06156	+	9.42251i	0.201873	+	0.621302i
$231$	2.14930	+	1.56156i	0.141413	+	0.102743i
$232$	−14.5114			−0.952719
$233$	6.21495	−	19.1276i	0.407155	−	1.25309i	−0.511928	−	0.859028i	$-0.671069\pi$
$233$	6.21495	−	19.1276i	0.407155	−	1.25309i	0.919083	−	0.394065i	$-0.128931\pi$
$234$	−9.66527	−	7.02223i	−0.631839	−	0.459058i
$235$	−3.70854	+	2.69441i	−0.241918	+	0.175764i
$236$	−0.514279	+	0.373645i	−0.0334767	+	0.0243222i
$237$	−5.27213			−0.342461
$238$	3.43613	−	2.49649i	0.222731	−	0.161823i
$239$	5.12245	+	15.7653i	0.331344	+	1.01977i	0.968495	+	0.249032i	$0.0801125\pi$
$239$	5.12245	+	15.7653i	0.331344	+	1.01977i	−0.637152	+	0.770738i	$0.719888\pi$
$240$	0.669994	−	2.06203i	0.0432479	−	0.133103i
$241$	5.76348	+	4.18741i	0.371258	+	0.269735i	0.757732	−	0.652565i	$-0.226307\pi$
$241$	5.76348	+	4.18741i	0.371258	+	0.269735i	−0.386474	+	0.922300i	$0.626307\pi$
$242$	−13.5478	−	9.84305i	−0.870885	−	0.632735i
$243$	13.0728			0.838621
$244$	0.306374	−	0.942922i	0.0196136	−	0.0603644i
$245$	−0.912860			−0.0583205
$246$	3.19958	+	4.14115i	0.203998	+	0.264030i
$247$	3.40088			0.216393
$248$	−5.02587	+	15.4680i	−0.319143	+	0.982222i
$249$	0.832191			0.0527380
$250$	−9.87453	−	7.17427i	−0.624520	−	0.453740i
$251$	4.59211	+	3.33636i	0.289851	+	0.210589i	0.723203	−	0.690636i	$-0.242669\pi$
$251$	4.59211	+	3.33636i	0.289851	+	0.210589i	−0.433352	+	0.901225i	$0.642669\pi$
$252$	−0.105891	+	0.325898i	−0.00667049	+	0.0205297i
$253$	10.9019	+	33.5525i	0.685395	+	2.10943i
$254$	8.26664	−	6.00607i	0.518695	−	0.376854i
$255$	1.48938			0.0932689
$256$	−2.46717	+	1.79250i	−0.154198	+	0.112031i
$257$	−7.12491	+	5.17655i	−0.444439	+	0.322904i	−0.787396	−	0.616447i	$-0.788571\pi$
$257$	−7.12491	+	5.17655i	−0.444439	+	0.322904i	0.342957	+	0.939351i	$0.388571\pi$
$258$	−0.0785845	−	0.0570950i	−0.00489245	−	0.00355458i
$259$	0.434460	−	1.33713i	0.0269960	−	0.0830852i
$260$	0.355114			0.0220232
$261$	11.5460	+	8.38868i	0.714681	+	0.519246i
$262$	−0.246229	−	0.757815i	−0.0152121	−	0.0468180i
$263$	15.1226	−	10.9872i	0.932497	−	0.677499i	−0.0141059	−	0.999901i	$-0.504490\pi$
$263$	15.1226	−	10.9872i	0.932497	−	0.677499i	0.946603	+	0.322402i	$0.104490\pi$
$264$	2.24217	−	6.90068i	0.137996	−	0.424708i
$265$	−0.0524069	−	0.161292i	−0.00321933	−	0.00990808i
$266$	−0.502707	−	1.54717i	−0.0308229	−	0.0948632i
$267$	2.34028	+	7.20263i	0.143223	+	0.440794i
$268$	0.184521	+	0.567897i	0.0112714	+	0.0346899i
$269$	−2.21663	+	6.82210i	−0.135151	+	0.415951i	−0.995613	−	0.0935625i	$-0.970175\pi$
$269$	−2.21663	+	6.82210i	−0.135151	+	0.415951i	0.860463	+	0.509513i	$0.170175\pi$
$270$	−3.43201	+	2.49350i	−0.208865	+	0.151750i
$271$	−6.83165	−	21.0256i	−0.414993	−	1.27722i	−0.912257	−	0.409618i	$-0.865662\pi$
$271$	−6.83165	−	21.0256i	−0.414993	−	1.27722i	0.497264	−	0.867599i	$-0.334338\pi$
$272$	−9.98567	−	7.25501i	−0.605470	−	0.439900i
$273$	−1.70858			−0.103408
$274$	5.37297	−	16.5363i	0.324593	−	0.998995i
$275$	−15.9828	−	11.6122i	−0.963800	−	0.700242i
$276$	0.430297	−	0.312629i	0.0259008	−	0.0188180i
$277$	1.96588	−	1.42829i	0.118118	−	0.0858179i	−0.527158	−	0.849767i	$-0.676742\pi$
$277$	1.96588	−	1.42829i	0.118118	−	0.0858179i	0.645276	+	0.763949i	$0.276742\pi$
$278$	−18.6919			−1.12107
$279$	12.9406	−	9.40186i	0.774731	−	0.562875i
$280$	0.770430	+	2.37114i	0.0460420	+	0.141703i
$281$	−7.10550	+	21.8685i	−0.423878	+	1.30456i	0.480186	+	0.877167i	$0.340569\pi$
$281$	−7.10550	+	21.8685i	−0.423878	+	1.30456i	−0.904064	+	0.427397i	$0.859431\pi$
$282$	3.32028	+	2.41233i	0.197720	+	0.143652i
$283$	−16.9629	−	12.3242i	−1.00834	−	0.732600i	−0.0444781	−	0.999010i	$-0.514162\pi$
$283$	−16.9629	−	12.3242i	−1.00834	−	0.732600i	−0.963860	+	0.266410i	$0.914162\pi$
$284$	0.332893			0.0197536
$285$	0.176283	−	0.542543i	0.0104421	−	0.0321375i
$286$	21.0886			1.24700
$287$	−6.14546	−	1.79813i	−0.362755	−	0.106140i
$288$	1.93554			0.114053
$289$	−2.63317	+	8.10408i	−0.154893	+	0.476710i
$290$	−7.07470			−0.415441
$291$	−4.23068	−	3.07377i	−0.248007	−	0.180188i
$292$	−1.63139	−	1.18527i	−0.0954699	−	0.0693630i
$293$	7.15774	−	22.0292i	0.418159	−	1.28696i	−0.491235	−	0.871027i	$-0.663454\pi$
$293$	7.15774	−	22.0292i	0.418159	−	1.28696i	0.909394	−	0.415935i	$-0.136546\pi$
$294$	0.252556	+	0.777289i	0.0147294	+	0.0453324i
$295$	3.67993	−	2.67363i	0.214254	−	0.155665i
$296$	−3.83985			−0.223187
$297$	−12.2210	+	8.87907i	−0.709134	+	0.515216i
$298$	−10.7062	+	7.77852i	−0.620194	+	0.450598i
$299$	−18.3558	−	13.3362i	−1.06154	−	0.771255i
$300$	−0.0920385	+	0.283265i	−0.00531385	+	0.0163543i
$301$	0.118851			0.00685046
$302$	−8.97860	−	6.52333i	−0.516660	−	0.375376i
$303$	3.13357	+	9.64415i	0.180019	+	0.554042i
$304$	−3.82471	+	2.77881i	−0.219362	+	0.159376i
$305$	−2.19227	+	6.74710i	−0.125529	+	0.386338i
$306$	3.52539	+	10.8500i	0.201533	+	0.620255i
$307$	5.60457	+	17.2491i	0.319870	+	0.984458i	0.973703	+	0.227820i	$0.0731597\pi$
$307$	5.60457	+	17.2491i	0.319870	+	0.984458i	−0.653833	+	0.756639i	$0.726840\pi$
$308$	−0.186917	−	0.575273i	−0.0106506	−	0.0327792i
$309$	−3.00501	−	9.24846i	−0.170949	−	0.526126i
$310$	−2.45025	+	7.54110i	−0.139165	+	0.428306i
$311$	−2.23813	+	1.62610i	−0.126913	+	0.0922074i	−0.649431	−	0.760421i	$-0.724993\pi$
$311$	−2.23813	+	1.62610i	−0.126913	+	0.0922074i	0.522518	+	0.852628i	$0.324993\pi$
$312$	1.44200	+	4.43801i	0.0816369	+	0.251253i
$313$	−8.26167	−	6.00246i	−0.466977	−	0.339279i	0.329285	−	0.944231i	$-0.393192\pi$
$313$	−8.26167	−	6.00246i	−0.466977	−	0.339279i	−0.796262	+	0.604952i	$0.793192\pi$
$314$	−21.3911			−1.20717
$315$	0.757704	−	2.33197i	0.0426918	−	0.131392i
$316$	0.971119	+	0.705559i	0.0546297	+	0.0396908i
$317$	9.17390	−	6.66523i	0.515258	−	0.374357i	−0.299557	−	0.954078i	$-0.596839\pi$
$317$	9.17390	−	6.66523i	0.515258	−	0.374357i	0.814814	+	0.579722i	$0.196839\pi$
$318$	−0.122839	+	0.0892476i	−0.00688846	+	0.00500476i
$319$	−25.1922			−1.41049
$320$	5.48474	−	3.98490i	0.306607	−	0.222763i
$321$	−3.00822	−	9.25833i	−0.167902	−	0.516750i
$322$	−3.35381	+	10.3220i	−0.186901	+	0.575221i
$323$	−2.62734	−	1.90888i	−0.146189	−	0.106213i
$324$	−0.647431	−	0.470386i	−0.0359684	−	0.0261326i
$325$	12.7055			0.704774
$326$	−0.676780	+	2.08292i	−0.0374834	+	0.115362i
$327$	−5.32081			−0.294242
$328$	0.515986	+	17.4803i	0.0284906	+	0.965190i
$329$	−5.02159			−0.276849
$330$	1.09312	−	3.36427i	0.0601742	−	0.185197i
$331$	−6.44597			−0.354302			−0.177151	−	0.984184i	$-0.556688\pi$
$331$	−6.44597			−0.354302			−0.177151	+	0.984184i	$0.556688\pi$
$332$	−0.153288	−	0.111371i	−0.00841280	−	0.00611225i
$333$	3.05519	+	2.21973i	0.167423	+	0.121640i
$334$	−10.1555	+	31.2553i	−0.555683	+	1.71021i
$335$	−1.32034	−	4.06360i	−0.0721381	−	0.222018i
$336$	1.92151	−	1.39606i	0.104827	−	0.0761611i
$337$	6.71366			0.365716			0.182858	−	0.983139i	$-0.441465\pi$
$337$	6.71366			0.365716			0.182858	+	0.983139i	$0.441465\pi$
$338$	4.36824	−	3.17371i	0.237601	−	0.172627i
$339$	2.45813	−	1.78593i	0.133507	−	0.0969987i
$340$	−0.274343	−	0.199322i	−0.0148783	−	0.0108097i
$341$	−8.72508	+	26.8530i	−0.472490	+	1.45417i
$342$	4.36964			0.236283
$343$	−0.809017	−	0.587785i	−0.0436828	−	0.0317374i
$344$	−0.100307	−	0.308714i	−0.00540820	−	0.0166447i
$345$	−3.07900	+	2.23702i	−0.165768	+	0.120437i
$346$	7.17214	−	22.0736i	0.385576	−	1.18668i
$347$	5.70439	+	17.5563i	0.306228	+	0.942473i	0.979216	+	0.202819i	$0.0650104\pi$
$347$	5.70439	+	17.5563i	0.306228	+	0.942473i	−0.672988	+	0.739653i	$0.734990\pi$
$348$	0.117366	+	0.361214i	0.00629145	+	0.0193631i
$349$	2.94163	+	9.05341i	0.157462	+	0.484618i	0.998402	−	0.0565102i	$-0.0179973\pi$
$349$	2.94163	+	9.05341i	0.157462	+	0.484618i	−0.840940	+	0.541128i	$0.817997\pi$
$350$	−1.87809	−	5.78016i	−0.100388	−	0.308962i
$351$	3.00211	−	9.23956i	0.160241	−	0.493171i
$352$	−2.76408	+	2.00822i	−0.147326	+	0.107039i
$353$	−8.26917	−	25.4499i	−0.440123	−	1.35456i	−0.887744	−	0.460337i	$-0.847729\pi$
$353$	−8.26917	−	25.4499i	−0.440123	−	1.35456i	0.447621	−	0.894223i	$-0.352271\pi$
$354$	−3.29467	−	2.39372i	−0.175110	−	0.127225i
$355$	−2.38202			−0.126425
$356$	0.532839	−	1.63991i	0.0282404	−	0.0869151i
$357$	1.31996	+	0.959006i	0.0698596	+	0.0507560i
$358$	10.8692	−	7.89694i	0.574455	−	0.417366i
$359$	−10.2020	+	7.41220i	−0.538442	+	0.391201i	−0.823506	−	0.567308i	$-0.807985\pi$
$359$	−10.2020	+	7.41220i	−0.538442	+	0.391201i	0.285064	+	0.958508i	$0.407985\pi$
$360$	−6.69675			−0.352950
$361$	14.3650	−	10.4368i	0.756053	−	0.549304i
$362$	−6.54111	−	20.1315i	−0.343793	−	1.05809i
$363$	1.98785	−	6.11799i	0.104335	−	0.321111i
$364$	0.314718	+	0.228656i	0.0164957	+	0.0119848i
$365$	11.6735	+	8.48126i	0.611017	+	0.443930i
$366$	6.35160			0.332003
$367$	−2.82266	+	8.68727i	−0.147342	+	0.453472i	−0.997305	−	0.0733709i	$-0.976624\pi$
$367$	−2.82266	+	8.68727i	−0.147342	+	0.453472i	0.849963	+	0.526843i	$0.176624\pi$
$368$	31.5402			1.64415
$369$	9.69442	−	14.2066i	0.504671	−	0.739564i
$370$	−1.87203			−0.0973224
$371$	0.0574096	−	0.176689i	0.00298056	−	0.00917321i
$372$	0.425675			0.0220702
$373$	29.2515	+	21.2525i	1.51458	+	1.10041i	0.964091	+	0.265571i	$0.0855605\pi$
$373$	29.2515	+	21.2525i	1.51458	+	1.10041i	0.550494	+	0.834839i	$0.314440\pi$
$374$	−16.2920	−	11.8368i	−0.842438	−	0.612067i
$375$	1.44888	−	4.45920i	0.0748199	−	0.230272i
$376$	4.23809	+	13.0435i	0.218563	+	0.672668i
$377$	13.1075	−	9.52316i	0.675071	−	0.490468i
$378$	−4.64715			−0.239023
$379$	21.2453	−	15.4356i	1.09130	−	0.792874i	0.111679	−	0.993744i	$-0.464377\pi$
$379$	21.2453	−	15.4356i	1.09130	−	0.792874i	0.979618	+	0.200871i	$0.0643771\pi$
$380$	−0.105079	+	0.0763441i	−0.00539042	+	0.00391637i
$381$	3.17556	+	2.30718i	0.162689	+	0.118200i
$382$	4.60342	−	14.1679i	0.235531	−	0.724891i
$383$	20.5259			1.04882			0.524411	−	0.851465i	$-0.324286\pi$
$383$	20.5259			1.04882			0.524411	+	0.851465i	$0.324286\pi$
$384$	−5.56383	−	4.04236i	−0.283928	−	0.206286i
$385$	1.33749	+	4.11638i	0.0681649	+	0.209790i
$386$	13.9435	−	10.1305i	0.709704	−	0.515630i
$387$	−0.0986503	+	0.303615i	−0.00501468	+	0.0154336i
$388$	0.367929	+	1.13237i	0.0186788	+	0.0574873i
$389$	6.65492	+	20.4817i	0.337418	+	1.03847i	0.965519	+	0.260333i	$0.0838325\pi$
$389$	6.65492	+	20.4817i	0.337418	+	1.03847i	−0.628101	+	0.778132i	$0.716168\pi$
$390$	0.703013	+	2.16365i	0.0355984	+	0.109561i
$391$	6.69523	+	20.6058i	0.338592	+	1.04208i
$392$	−0.843975	+	2.59749i	−0.0426272	+	0.131193i
$393$	0.247632	−	0.179915i	0.0124914	−	0.00907550i
$394$	−11.3894	−	35.0531i	−0.573791	−	1.76595i
$395$	−6.94886	−	5.04864i	−0.349635	−	0.254025i
$396$	1.62473			0.0816457
$397$	−0.333608	+	1.02674i	−0.0167433	+	0.0515306i	−0.959079	−	0.283138i	$-0.908624\pi$
$397$	−0.333608	+	1.02674i	−0.0167433	+	0.0515306i	0.942336	+	0.334669i	$0.108624\pi$
$398$	−3.14042	−	2.28165i	−0.157415	−	0.114369i
$399$	0.505570	−	0.367318i	0.0253102	−	0.0183889i
$400$	−14.2889	+	10.3815i	−0.714445	+	0.519075i
$401$	13.9595			0.697106			0.348553	−	0.937289i	$-0.386673\pi$
$401$	13.9595			0.697106			0.348553	+	0.937289i	$0.386673\pi$
$402$	−3.09481	+	2.24851i	−0.154355	+	0.112146i
$403$	−5.61132	−	17.2699i	−0.279520	−	0.860274i
$404$	0.713459	−	2.19580i	0.0354959	−	0.109245i
$405$	4.63271	+	3.36586i	0.230201	+	0.167251i
$406$	−6.26992	−	4.55536i	−0.311171	−	0.226079i
$407$	−6.66611			−0.330427
$408$	1.37699	−	4.23795i	0.0681714	−	0.209810i
$409$	−5.33982			−0.264037			−0.132019	−	0.991247i	$-0.542146\pi$
$409$	−5.33982			−0.264037			−0.132019	+	0.991247i	$0.542146\pi$
$410$	0.251558	+	8.52215i	0.0124235	+	0.420879i
$411$	6.67919			0.329460
$412$	−0.684186	+	2.10571i	−0.0337074	+	0.103741i
$413$	4.98286			0.245190
$414$	−23.5845	−	17.1352i	−1.15912	−	0.842147i
$415$	1.09686	+	0.796915i	0.0538427	+	0.0391190i
$416$	0.679002	−	2.08975i	0.0332908	−	0.102459i
$417$	−2.21885	−	6.82892i	−0.108658	−	0.334413i
$418$	−6.24015	+	4.53373i	−0.305216	+	0.221752i
$419$	−9.05829			−0.442526			−0.221263	−	0.975214i	$-0.571018\pi$
$419$	−9.05829			−0.442526			−0.221263	+	0.975214i	$0.571018\pi$
$420$	0.0527908	−	0.0383547i	0.00257593	−	0.00187152i
$421$	1.61805	−	1.17559i	0.0788591	−	0.0572945i	−0.547657	−	0.836703i	$-0.684480\pi$
$421$	1.61805	−	1.17559i	0.0788591	−	0.0572945i	0.626516	+	0.779408i	$0.284480\pi$
$422$	18.9090	+	13.7382i	0.920475	+	0.668765i
$423$	4.16809	−	12.8281i	0.202659	−	0.623721i
$424$	−0.507398			−0.0246414
$425$	−9.81561	−	7.13146i	−0.476127	−	0.345927i
$426$	0.659023	+	2.02826i	0.0319298	+	0.0982697i
$427$	−6.28730	+	4.56799i	−0.304264	+	0.221061i
$428$	−0.684917	+	2.10796i	−0.0331067	+	0.101892i
$429$	2.50335	+	7.70453i	0.120863	+	0.371978i
$430$	−0.0489026	−	0.150507i	−0.00235829	−	0.00725807i
$431$	−2.81249	−	8.65595i	−0.135473	−	0.416943i	0.860190	−	0.509973i	$-0.170345\pi$
$431$	−2.81249	−	8.65595i	−0.135473	−	0.416943i	−0.995663	+	0.0930304i	$0.970345\pi$
$432$	4.17327	+	12.8440i	0.200787	+	0.617958i
$433$	0.739498	−	2.27594i	0.0355380	−	0.109375i	−0.931714	−	0.363193i	$-0.881687\pi$
$433$	0.739498	−	2.27594i	0.0355380	−	0.109375i	0.967252	+	0.253818i	$0.0816865\pi$
$434$	−7.02720	+	5.10556i	−0.337316	+	0.245075i
$435$	−0.839812	−	2.58467i	−0.0402659	−	0.123926i
$436$	0.980087	+	0.712075i	0.0469377	+	0.0341022i
$437$	8.29858			0.396975
$438$	3.99205	−	12.2863i	0.190748	−	0.587061i
$439$	−32.5416	−	23.6429i	−1.55313	−	1.12841i	−0.941374	−	0.337364i	$-0.890465\pi$
$439$	−32.5416	−	23.6429i	−1.55313	−	1.12841i	−0.611753	−	0.791049i	$-0.709535\pi$
$440$	9.56343	−	6.94824i	0.455919	−	0.331244i
$441$	2.17306	−	1.57882i	0.103479	−	0.0751818i
$442$	12.9513			0.616029
$443$	23.7418	−	17.2494i	1.12800	−	0.819544i	0.142602	−	0.989780i	$-0.454453\pi$
$443$	23.7418	−	17.2494i	1.12800	−	0.819544i	0.985403	+	0.170237i	$0.0544532\pi$
$444$	0.0310560	+	0.0955806i	0.00147385	+	0.00453606i
$445$	−3.81274	+	11.7344i	−0.180741	+	0.556265i
$446$	26.7838	+	19.4596i	1.26825	+	0.921438i
$447$	−4.11270	−	2.98805i	−0.194524	−	0.141330i
$448$	7.42668			0.350878
$449$	8.30316	−	25.5545i	0.391850	−	1.20599i	−0.539537	−	0.841962i	$-0.681401\pi$
$449$	8.30316	−	25.5545i	0.391850	−	1.20599i	0.931388	−	0.364029i	$-0.118599\pi$
$450$	16.3247			0.769556
$451$	0.895769	+	30.3464i	0.0421801	+	1.42896i
$452$	−0.691792			−0.0325392
$453$	1.31742	−	4.05460i	0.0618978	−	0.190502i
$454$	36.5038			1.71321
$455$	−2.25197	−	1.63615i	−0.105574	−	0.0767040i
$456$	−1.38079	−	1.00320i	−0.0646615	−	0.0469793i
$457$	−0.0748527	+	0.230373i	−0.00350146	+	0.0107764i	−0.952792	−	0.303624i	$-0.901803\pi$
$457$	−0.0748527	+	0.230373i	−0.00350146	+	0.0107764i	0.949291	+	0.314400i	$0.101803\pi$
$458$	2.53092	+	7.78936i	0.118262	+	0.363973i
$459$	−7.50534	+	5.45295i	−0.350320	+	0.254522i
$460$	0.866524			0.0404019
$461$	28.9761	−	21.0523i	1.34955	−	0.980505i	0.350516	−	0.936557i	$-0.386006\pi$
$461$	28.9761	−	21.0523i	1.34955	−	0.980505i	0.999034	−	0.0439485i	$-0.0139938\pi$
$462$	3.13501	−	2.27772i	0.145854	−	0.105969i
$463$	−12.1869	−	8.85432i	−0.566375	−	0.411495i	0.267412	−	0.963582i	$-0.413832\pi$
$463$	−12.1869	−	8.85432i	−0.566375	−	0.411495i	−0.833786	+	0.552087i	$0.813832\pi$
$464$	−6.95976	+	21.4200i	−0.323099	+	0.994396i
$465$	−3.04593			−0.141252
$466$	−23.7331	−	17.2431i	−1.09942	−	0.798772i
$467$	−3.88573	−	11.9590i	−0.179810	−	0.553398i	0.820011	−	0.572348i	$-0.193968\pi$
$467$	−3.88573	−	11.9590i	−0.179810	−	0.553398i	−0.999820	+	0.0189504i	$0.993968\pi$
$468$	−0.845346	+	0.614180i	−0.0390761	+	0.0283905i
$469$	1.44638	−	4.45151i	0.0667878	−	0.205552i
$470$	2.06619	+	6.35907i	0.0953062	+	0.293322i
$471$	−2.53926	−	7.81504i	−0.117003	−	0.360098i
$472$	−4.20540	−	12.9429i	−0.193569	−	0.595745i
$473$	−0.174137	−	0.535938i	−0.00800681	−	0.0246424i
$474$	−2.37635	+	7.31365i	−0.109149	+	0.335927i
$475$	−3.75957	+	2.73149i	−0.172501	+	0.125329i
$476$	−0.114793	−	0.353295i	−0.00526151	−	0.0161933i
$477$	0.403713	+	0.293315i	0.0184848	+	0.0134300i
$478$	24.1790			1.10592
$479$	3.30815	−	10.1814i	0.151153	−	0.465201i	−0.846598	−	0.532233i	$-0.821353\pi$
$479$	3.30815	−	10.1814i	0.151153	−	0.465201i	0.997751	+	0.0670319i	$0.0213529\pi$
$480$	−0.298183	−	0.216643i	−0.0136102	−	0.00988835i
$481$	3.46837	−	2.51992i	0.158144	−	0.114898i
$482$	8.40672	−	6.10784i	0.382916	−	0.278205i
$483$	−4.16915			−0.189703
$484$	−1.18492	+	0.860894i	−0.0538600	+	0.0391316i
$485$	−2.63272	−	8.10269i	−0.119546	−	0.367924i
$486$	5.89242	−	18.1350i	0.267286	−	0.822621i
$487$	−1.23523	−	0.897446i	−0.0559735	−	0.0406672i	0.559447	−	0.828866i	$-0.311014\pi$
$487$	−1.23523	−	0.897446i	−0.0559735	−	0.0406672i	−0.615420	+	0.788199i	$0.711014\pi$
$488$	17.1716	+	12.4759i	0.777323	+	0.564758i
$489$	−0.841311			−0.0380454
$490$	−0.411461	+	1.26635i	−0.0185879	+	0.0572077i
$491$	−2.59573			−0.117144			−0.0585718	−	0.998283i	$-0.518655\pi$
$491$	−2.59573			−0.117144			−0.0585718	+	0.998283i	$0.518655\pi$
$492$	0.430943	−	0.154222i	0.0194284	−	0.00695285i
$493$	−15.4714			−0.696799
$494$	1.53291	−	4.71780i	0.0689687	−	0.212264i
$495$	−11.6258			−0.522540
$496$	20.4216	+	14.8372i	0.916958	+	0.666209i
$497$	−2.11106	−	1.53377i	−0.0946938	−	0.0687991i
$498$	0.375100	−	1.15444i	0.0168087	−	0.0517317i
$499$	5.39795	+	16.6132i	0.241645	+	0.743708i	0.996170	+	0.0874365i	$0.0278675\pi$
$499$	5.39795	+	16.6132i	0.241645	+	0.743708i	−0.754525	+	0.656272i	$0.772133\pi$
$500$	−0.863648	+	0.627477i	−0.0386235	+	0.0280616i
$501$	−12.6243			−0.564014
$502$	6.69815	−	4.86649i	0.298953	−	0.217202i
$503$	−19.7231	+	14.3296i	−0.879407	+	0.638927i	−0.933095	−	0.359631i	$-0.882903\pi$
$503$	−19.7231	+	14.3296i	−0.879407	+	0.638927i	0.0536872	+	0.998558i	$0.482903\pi$
$504$	−5.93496	−	4.31200i	−0.264364	−	0.192072i
$505$	−5.10517	+	15.7121i	−0.227177	+	0.699179i
$506$	51.4590			2.28763
$507$	1.67802	+	1.21915i	0.0745235	+	0.0541445i
$508$	−0.276168	−	0.849959i	−0.0122530	−	0.0377108i
$509$	−28.2293	+	20.5098i	−1.25124	+	0.909080i	−0.998293	−	0.0583992i	$-0.981400\pi$
$509$	−28.2293	+	20.5098i	−1.25124	+	0.909080i	−0.252949	+	0.967480i	$0.581400\pi$
$510$	0.671323	−	2.06612i	0.0297267	−	0.0914893i
$511$	4.88450	+	15.0329i	0.216078	+	0.665018i
$512$	−6.21111	−	19.1158i	−0.274495	−	0.844809i
$513$	1.09804	+	3.37941i	0.0484794	+	0.149204i
$514$	3.96959	+	12.2172i	0.175091	+	0.538876i
$515$	4.89571	−	15.0674i	0.215731	−	0.663951i
$516$	−0.00687317	+	0.00499365i	−0.000302574	+	0.000219833i
$517$	7.35747	+	22.6440i	0.323581	+	0.995880i
$518$	−1.65908	−	1.20539i	−0.0728958	−	0.0529619i
$519$	8.91574			0.391358
$520$	−2.34928	+	7.23033i	−0.103023	+	0.317071i
$521$	−10.0295	−	7.28687i	−0.439401	−	0.319244i	0.345996	−	0.938236i	$-0.387541\pi$
$521$	−10.0295	−	7.28687i	−0.439401	−	0.319244i	−0.785397	+	0.618992i	$0.787541\pi$
$522$	16.8413	−	12.2359i	0.737123	−	0.535551i
$523$	−9.30772	+	6.76245i	−0.406998	+	0.295701i	−0.772385	−	0.635154i	$-0.780937\pi$
$523$	−9.30772	+	6.76245i	−0.406998	+	0.295701i	0.365387	+	0.930856i	$0.380937\pi$
$524$	−0.0696911			−0.00304447
$525$	1.88878	−	1.37228i	0.0824333	−	0.0598913i
$526$	−8.42544	−	25.9308i	−0.367366	−	1.13064i
$527$	−5.35838	+	16.4914i	−0.233415	+	0.718376i
$528$	−9.11060	−	6.61924i	−0.396488	−	0.288065i
$529$	−26.1831	−	19.0231i	−1.13839	−	0.827092i
$530$	−0.247371			−0.0107451
$531$	−4.13594	+	12.7291i	−0.179484	+	0.552396i
$532$	−0.142283			−0.00616874
$533$	−11.9376	−	15.4506i	−0.517076	−	0.669241i
$534$	11.0466			0.478032
$535$	4.90094	−	15.0835i	0.211886	−	0.652118i
$536$	−12.7834			−0.552161
$537$	4.17531	+	3.03354i	0.180178	+	0.130907i
$538$	8.46470	+	6.14997i	0.364939	+	0.265144i
$539$	−1.46517	+	4.50932i	−0.0631092	+	0.194230i
$540$	0.114655	+	0.352872i	0.00493397	+	0.0151852i
$541$	−34.3658	+	24.9682i	−1.47750	+	1.07347i	−0.499150	+	0.866516i	$0.666354\pi$
$541$	−34.3658	+	24.9682i	−1.47750	+	1.07347i	−0.978351	+	0.206952i	$0.933646\pi$
$542$	−32.2467			−1.38511
$543$	6.57837	−	4.77946i	0.282305	−	0.205106i
$544$	−1.69752	+	1.23332i	−0.0727805	+	0.0528782i
$545$	−7.01304	−	5.09527i	−0.300405	−	0.218257i
$546$	−0.770122	+	2.37019i	−0.0329582	+	0.101435i
$547$	−7.80288			−0.333627			−0.166814	−	0.985988i	$-0.553348\pi$
$547$	−7.80288			−0.333627			−0.166814	+	0.985988i	$0.553348\pi$
$548$	−1.23030	−	0.893863i	−0.0525557	−	0.0381840i
$549$	−6.45063	−	19.8530i	−0.275306	−	0.847306i
$550$	−23.3129	+	16.9378i	−0.994064	+	0.722230i
$551$	−1.83119	+	5.63583i	−0.0780114	+	0.240094i
$552$	3.51866	+	10.8293i	0.149764	+	0.460926i
$553$	−2.90760	−	8.94867i	−0.123644	−	0.380536i
$554$	−1.09528	−	3.37091i	−0.0465338	−	0.143216i
$555$	−0.222222	−	0.683930i	−0.00943281	−	0.0290312i
$556$	−0.505192	+	1.55482i	−0.0214249	+	0.0659391i
$557$	−15.7689	+	11.4568i	−0.668149	+	0.485438i	−0.869405	−	0.494100i	$-0.835498\pi$
$557$	−15.7689	+	11.4568i	−0.668149	+	0.485438i	0.201256	+	0.979539i	$0.435498\pi$
$558$	−7.20975	−	22.1893i	−0.305213	−	0.939349i
$559$	0.293198	+	0.213021i	0.0124010	+	0.00900983i
$560$	3.86950			0.163516
$561$	2.39051	−	7.35722i	0.100927	−	0.310622i
$562$	27.1339	+	19.7139i	1.14457	+	0.831582i
$563$	−11.1436	+	8.09628i	−0.469645	+	0.341217i	−0.797303	−	0.603579i	$-0.793741\pi$
$563$	−11.1436	+	8.09628i	−0.469645	+	0.341217i	0.327658	+	0.944797i	$0.393741\pi$
$564$	0.290399	−	0.210987i	0.0122280	−	0.00888417i
$565$	4.95014			0.208254
$566$	−24.7424	+	17.9764i	−1.04000	+	0.755604i
$567$	1.93845	+	5.96595i	0.0814075	+	0.250546i
$568$	−2.20227	+	6.77790i	−0.0924054	+	0.284394i
$569$	−9.49795	−	6.90067i	−0.398175	−	0.289291i	0.370622	−	0.928784i	$-0.379144\pi$
$569$	−9.49795	−	6.90067i	−0.398175	−	0.289291i	−0.768797	+	0.639493i	$0.779144\pi$
$570$	−0.673175	−	0.489090i	−0.0281962	−	0.0204857i
$571$	−38.7342			−1.62098			−0.810489	−	0.585754i	$-0.800798\pi$
$571$	−38.7342			−1.62098			−0.810489	+	0.585754i	$0.800798\pi$
$572$	0.569968	−	1.75418i	0.0238316	−	0.0733460i
$573$	5.72255			0.239063
$574$	−5.26442	+	7.71469i	−0.219733	+	0.322005i
$575$	31.0031			1.29292
$576$	−6.16439	+	18.9720i	−0.256850	+	0.790502i
$577$	−19.6107			−0.816403			−0.408202	−	0.912892i	$-0.633844\pi$
$577$	−19.6107			−0.816403			−0.408202	+	0.912892i	$0.633844\pi$
$578$	10.0554	+	7.30564i	0.418247	+	0.303875i
$579$	5.35627	+	3.89156i	0.222599	+	0.161728i
$580$	−0.191210	+	0.588484i	−0.00793957	+	0.0244355i
$581$	0.458956	+	1.41252i	0.0190407	+	0.0586013i
$582$	−6.17096	+	4.48346i	−0.255794	+	0.185846i
$583$	−0.880860			−0.0364815
$584$	34.9255	−	25.3748i	1.44523	−	1.05002i
$585$	6.04889	−	4.39478i	0.250091	−	0.181702i
$586$	−27.3334	−	19.8589i	−1.12913	−	0.820362i
$587$	−7.39361	+	22.7552i	−0.305167	+	0.939207i	0.674448	+	0.738322i	$0.264382\pi$
$587$	−7.39361	+	22.7552i	−0.305167	+	0.939207i	−0.979615	+	0.200885i	$0.935618\pi$
$588$	0.0714819			0.00294787
$589$	5.37316	+	3.90383i	0.221397	+	0.160854i
$590$	−2.05025	−	6.31002i	−0.0844075	−	0.259780i
$591$	11.4543	−	8.32204i	0.471167	−	0.342323i
$592$	−1.84162	+	5.66792i	−0.0756901	+	0.232950i
$593$	−3.56138	−	10.9608i	−0.146248	−	0.450106i	0.850921	−	0.525293i	$-0.176044\pi$
$593$	−3.56138	−	10.9608i	−0.146248	−	0.450106i	−0.997169	+	0.0751876i	$0.976044\pi$
$594$	6.80885	+	20.9555i	0.279370	+	0.859814i
$595$	0.821401	+	2.52801i	0.0336742	+	0.103638i
$596$	0.357669	+	1.10079i	0.0146507	+	0.0450901i
$597$	0.460790	−	1.41817i	0.0188589	−	0.0580417i
$598$	−26.7741	+	19.4525i	−1.09487	+	0.795472i
$599$	9.56358	+	29.4337i	0.390757	+	1.20263i	0.932217	+	0.361901i	$0.117872\pi$
$599$	9.56358	+	29.4337i	0.390757	+	1.20263i	−0.541459	+	0.840727i	$0.682128\pi$
$600$	−5.15857	−	3.74792i	−0.210598	−	0.153008i
$601$	−38.5273			−1.57156			−0.785781	−	0.618505i	$-0.787739\pi$
$601$	−38.5273			−1.57156			−0.785781	+	0.618505i	$0.787739\pi$
$602$	0.0535707	−	0.164874i	0.00218338	−	0.00671975i
$603$	10.1712	+	7.38980i	0.414203	+	0.300936i
$604$	−0.785287	+	0.570545i	−0.0319529	+	0.0232151i
$605$	8.47872	−	6.16015i	0.344709	−	0.250446i
$606$	14.7911			0.600847
$607$	−35.9637	+	26.1291i	−1.45972	+	1.06055i	−0.476284	+	0.879291i	$0.658017\pi$
$607$	−35.9637	+	26.1291i	−1.45972	+	1.06055i	−0.983436	+	0.181257i	$0.941983\pi$
$608$	0.248348	+	0.764336i	0.0100718	+	0.0309979i
$609$	0.919979	−	2.83140i	0.0372794	−	0.114734i
$610$	8.37165	+	6.08236i	0.338958	+	0.246267i
$611$	−12.3880	−	9.00038i	−0.501163	−	0.364116i
$612$	0.997803			0.0403338
$613$	0.386332	−	1.18901i	0.0156038	−	0.0480235i	−0.942951	−	0.332930i	$-0.891963\pi$
$613$	0.386332	−	1.18901i	0.0156038	−	0.0480235i	0.958555	+	0.284907i	$0.0919626\pi$
$614$	26.4547			1.06762
$615$	−3.08362	+	1.10354i	−0.124344	+	0.0444989i
$616$	12.9495			0.521749
$617$	6.57558	−	20.2376i	0.264723	−	0.814734i	−0.727034	−	0.686601i	$-0.759102\pi$
$617$	6.57558	−	20.2376i	0.264723	−	0.814734i	0.991757	−	0.128132i	$-0.0408982\pi$
$618$	−14.1842			−0.570573
$619$	5.73196	+	4.16451i	0.230387	+	0.167386i	0.696990	−	0.717081i	$-0.254522\pi$
$619$	5.73196	+	4.16451i	0.230387	+	0.167386i	−0.466603	+	0.884467i	$0.654522\pi$
$620$	0.561056	+	0.407631i	0.0225326	+	0.0163709i
$621$	7.32555	−	22.5457i	0.293964	−	0.904729i
$622$	1.24696	+	3.83774i	0.0499985	+	0.153880i
$623$	−10.9347	+	7.94456i	−0.438091	+	0.318292i
$624$	7.24244			0.289930
$625$	−10.6747	+	7.75566i	−0.426990	+	0.310226i
$626$	−12.0506	+	8.75531i	−0.481641	+	0.349932i
$627$	−2.39710	−	1.74160i	−0.0957310	−	0.0695526i
$628$	−0.578144	+	1.77935i	−0.0230705	+	0.0710036i
$629$	−4.09389			−0.163234
$630$	−2.89346	−	2.10222i	−0.115278	−	0.0837545i
$631$	−7.37937	−	22.7114i	−0.293768	−	0.904125i	−0.983632	−	0.180187i	$-0.942330\pi$
$631$	−7.37937	−	22.7114i	−0.293768	−	0.904125i	0.689864	−	0.723939i	$-0.257670\pi$
$632$	−20.7901	+	15.1049i	−0.826986	+	0.600840i
$633$	−2.77450	+	8.53903i	−0.110276	+	0.339396i
$634$	−5.11118	−	15.7306i	−0.202991	−	0.624742i
$635$	1.97613	+	6.08190i	0.0784203	+	0.241353i
$636$	0.00410375	+	0.0126300i	0.000162724	+	0.000500814i
$637$	−0.942287	−	2.90006i	−0.0373348	−	0.114905i
$638$	−11.3551	+	34.9474i	−0.449553	+	1.38358i
$639$	5.67039	−	4.11978i	0.224317	−	0.162976i
$640$	−3.46233	−	10.6560i	−0.136861	−	0.421214i
$641$	7.39850	+	5.37532i	0.292223	+	0.212313i	0.724231	−	0.689557i	$-0.242195\pi$
$641$	7.39850	+	5.37532i	0.292223	+	0.212313i	−0.432008	+	0.901870i	$0.642195\pi$
$642$	−14.1994			−0.560404
$643$	10.2209	−	31.4567i	0.403073	−	1.24053i	−0.519421	−	0.854518i	$-0.673852\pi$
$643$	10.2209	−	31.4567i	0.403073	−	1.24053i	0.922494	−	0.386012i	$-0.126148\pi$
$644$	0.767952	+	0.557950i	0.0302616	+	0.0219863i
$645$	0.0491811	−	0.0357322i	0.00193650	−	0.00140695i
$646$	−3.83229	+	2.78432i	−0.150780	+	0.109548i
$647$	13.9218			0.547321			0.273661	−	0.961826i	$-0.411765\pi$
$647$	13.9218			0.547321			0.273661	+	0.961826i	$0.411765\pi$
$648$	13.8605	−	10.0702i	0.544491	−	0.395596i
$649$	−7.30072	−	22.4693i	−0.286578	−	0.881997i
$650$	5.72686	−	17.6255i	0.224626	−	0.691327i
$651$	−2.69944	−	1.96126i	−0.105799	−	0.0768677i
$652$	0.154968	+	0.112591i	0.00606903	+	0.00440941i
$653$	39.5694			1.54847			0.774236	−	0.632897i	$-0.218134\pi$
$653$	39.5694			1.54847			0.774236	+	0.632897i	$0.218134\pi$
$654$	−2.39830	+	7.38120i	−0.0937808	+	0.288628i
$655$	0.498676			0.0194849
$656$	26.0498	+	7.62206i	1.01708	+	0.297591i
$657$	−42.4572			−1.65641
$658$	−2.26342	+	6.96610i	−0.0882374	+	0.271567i
$659$	19.9822			0.778395			0.389198	−	0.921154i	$-0.372752\pi$
$659$	19.9822			0.778395			0.389198	+	0.921154i	$0.372752\pi$
$660$	−0.250301	−	0.181855i	−0.00974296	−	0.00707868i
$661$	20.4905	+	14.8872i	0.796988	+	0.579046i	0.910029	−	0.414544i	$-0.136059\pi$
$661$	20.4905	+	14.8872i	0.796988	+	0.579046i	−0.113041	+	0.993590i	$0.536059\pi$
$662$	−2.90545	+	8.94204i	−0.112923	+	0.347542i
$663$	1.53740	+	4.73162i	0.0597075	+	0.183761i
$664$	3.28166	−	2.38427i	0.127353	−	0.0925275i
$665$	1.01811			0.0394805
$666$	4.45636	−	3.23774i	0.172681	−	0.125460i
$667$	31.9840	−	23.2378i	1.23843	−	0.899770i
$668$	2.32539	+	1.68949i	0.0899720	+	0.0653685i
$669$	−3.92997	+	12.0952i	−0.151941	+	0.467627i
$670$	−6.23229			−0.240774
$671$	29.8105	+	21.6586i	1.15082	+	0.836121i
$672$	−0.124768	−	0.383997i	−0.00481304	−	0.0148130i
$673$	−36.5431	+	26.5501i	−1.40863	+	1.02343i	−0.415114	+	0.909769i	$0.636258\pi$
$673$	−36.5431	+	26.5501i	−1.40863	+	1.02343i	−0.993519	+	0.113663i	$0.963742\pi$
$674$	3.02610	−	9.31339i	0.116561	−	0.358738i
$675$	4.10220	+	12.6253i	0.157894	+	0.485948i
$676$	−0.145932	−	0.449133i	−0.00561278	−	0.0172743i
$677$	14.4070	+	44.3401i	0.553705	+	1.70413i	0.699339	+	0.714790i	$0.253478\pi$
$677$	14.4070	+	44.3401i	0.553705	+	1.70413i	−0.145634	+	0.989339i	$0.546522\pi$
$678$	−1.36953	−	4.21498i	−0.0525965	−	0.161875i
$679$	2.88404	−	8.87616i	0.110679	−	0.340636i
$680$	5.87324	−	4.26716i	0.225228	−	0.163638i
$681$	4.33324	+	13.3363i	0.166050	+	0.511049i
$682$	33.3186	+	24.2074i	1.27584	+	0.926949i
$683$	27.5829			1.05543			0.527716	−	0.849421i	$-0.323049\pi$
$683$	27.5829			1.05543			0.527716	+	0.849421i	$0.323049\pi$
$684$	0.118100	−	0.363473i	0.00451565	−	0.0138977i
$685$	8.80342	+	6.39606i	0.336362	+	0.244381i
$686$	−1.18005	+	0.857356i	−0.0450545	+	0.0327340i
$687$	−2.54533	+	1.84929i	−0.0971105	+	0.0705549i
$688$	−0.503794			−0.0192070
$689$	0.458311	−	0.332983i	0.0174603	−	0.0126856i
$690$	1.71544	+	5.27959i	0.0653058	+	0.200991i
$691$	−12.4861	+	38.4283i	−0.474994	+	1.46188i	0.370972	+	0.928644i	$0.379024\pi$
$691$	−12.4861	+	38.4283i	−0.474994	+	1.46188i	−0.845966	+	0.533237i	$0.820976\pi$
$692$	−1.64227	−	1.19318i	−0.0624297	−	0.0453578i
$693$	−10.3033	−	7.48578i	−0.391390	−	0.284361i
$694$	26.9259			1.02209
$695$	3.61491	−	11.1256i	0.137122	−	0.422017i
$696$	−8.13097			−0.308204
$697$	0.550123	+	18.6368i	0.0208374	+	0.705920i
$698$	13.8851			0.525558
$699$	3.48234	−	10.7175i	0.131714	−	0.405375i
$700$	−0.531561			−0.0200911
$701$	−10.8615	−	7.89134i	−0.410233	−	0.298052i	0.363463	−	0.931609i	$-0.381594\pi$
$701$	−10.8615	−	7.89134i	−0.410233	−	0.298052i	−0.773696	+	0.633557i	$0.781594\pi$
$702$	−11.4642	−	8.32925i	−0.432689	−	0.314367i
$703$	−0.484551	+	1.49129i	−0.0182752	+	0.0562452i
$704$	−10.8813	−	33.4893i	−0.410106	−	1.26218i
$705$	−2.07796	+	1.50972i	−0.0782604	+	0.0568595i
$706$	−39.0321			−1.46899
$707$	−14.6414	+	10.6376i	−0.550645	+	0.400067i
$708$	−0.288159	+	0.209360i	−0.0108297	+	0.00786822i
$709$	−20.4815	−	14.8806i	−0.769197	−	0.558855i	0.132520	−	0.991180i	$-0.457693\pi$
$709$	−20.4815	−	14.8806i	−0.769197	−	0.558855i	−0.901717	+	0.432326i	$0.857693\pi$
$710$	−1.07367	+	3.30442i	−0.0402941	+	0.124013i
$711$	25.2735			0.947830
$712$	29.8645	+	21.6979i	1.11922	+	0.813162i
$713$	−13.6924	−	42.1407i	−0.512783	−	1.57818i
$714$	1.92532	−	1.39883i	0.0720533	−	0.0523498i
$715$	−4.07842	+	12.5521i	−0.152524	+	0.469422i
$716$	−0.363114	−	1.11755i	−0.0135702	−	0.0417648i
$717$	2.87019	+	8.83355i	0.107189	+	0.329895i
$718$	5.68399	+	17.4935i	0.212124	+	0.652852i
$719$	3.92270	+	12.0728i	0.146292	+	0.450240i	0.997175	−	0.0751152i	$-0.0239324\pi$
$719$	3.92270	+	12.0728i	0.146292	+	0.450240i	−0.850883	+	0.525355i	$0.823932\pi$
$720$	−3.21181	+	9.88494i	−0.119697	+	0.368390i
$721$	14.0406	−	10.2011i	0.522901	−	0.379910i
$722$	−8.00337	−	24.6318i	−0.297854	−	0.916702i
$723$	3.22937	+	2.34628i	0.120102	+	0.0872590i
$724$	−1.85135			−0.0688050
$725$	−6.84124	+	21.0552i	−0.254077	+	0.781970i
$726$	−7.59106	−	5.51523i	−0.281731	−	0.204689i
$727$	0.618829	−	0.449605i	0.0229511	−	0.0166749i	−0.576251	−	0.817273i	$-0.695485\pi$
$727$	0.618829	−	0.449605i	0.0229511	−	0.0166749i	0.599202	+	0.800598i	$0.295485\pi$
$728$	−6.73760	+	4.89516i	−0.249712	+	0.181427i
$729$	−11.4940			−0.425704
$730$	17.0271	−	12.3709i	0.630203	−	0.457869i
$731$	−0.106943	−	0.329138i	−0.00395545	−	0.0121736i
$732$	0.171666	−	0.528335i	0.00634498	−	0.0195278i
$733$	−7.67846	−	5.57872i	−0.283610	−	0.206055i	0.436880	−	0.899520i	$-0.356083\pi$
$733$	−7.67846	−	5.57872i	−0.283610	−	0.206055i	−0.720491	+	0.693465i	$0.756083\pi$
$734$	10.7790	+	7.83137i	0.397859	+	0.289061i
$735$	−0.511491			−0.0188666
$736$	1.65685	−	5.09927i	0.0610725	−	0.187962i
$737$	−22.1925			−0.817471
$738$	−15.3381	−	19.8518i	−0.564605	−	0.730756i
$739$	−46.2451			−1.70115			−0.850577	−	0.525850i	$-0.823747\pi$
$739$	−46.2451			−1.70115			−0.850577	+	0.525850i	$0.823747\pi$
$740$	−0.0505960	+	0.155719i	−0.00185995	+	0.00572433i
$741$	1.90557			0.0700028
$742$	−0.219231	−	0.159281i	−0.00804822	−	0.00584738i
$743$	−13.8607	−	10.0704i	−0.508501	−	0.369448i	0.303754	−	0.952751i	$-0.401760\pi$
$743$	−13.8607	−	10.0704i	−0.508501	−	0.369448i	−0.812255	+	0.583303i	$0.801760\pi$
$744$	−2.81608	+	8.66701i	−0.103243	+	0.317748i
$745$	−2.55931	−	7.87674i	−0.0937657	−	0.288581i
$746$	42.6668	−	30.9993i	1.56214	−	1.13496i
$747$	−3.98935			−0.145963
$748$	−1.42493	+	1.03527i	−0.0521007	+	0.0378534i
$749$	14.0556	−	10.2120i	0.513582	−	0.373139i
$750$	−5.53287	−	4.01986i	−0.202032	−	0.146785i
$751$	−1.20111	+	3.69664i	−0.0438292	+	0.134892i	−0.970577	−	0.240793i	$-0.922593\pi$
$751$	−1.20111	+	3.69664i	−0.0438292	+	0.134892i	0.926747	+	0.375685i	$0.122593\pi$
$752$	21.2859			0.776216
$753$	2.57304	+	1.86942i	0.0937667	+	0.0681255i
$754$	−7.30276	−	22.4756i	−0.265951	−	0.818513i
$755$	5.61914	−	4.08255i	0.204502	−	0.148579i
$756$	−0.125600	+	0.386557i	−0.00456802	+	0.0140589i
$757$	7.87381	+	24.2331i	0.286178	+	0.880767i	0.986043	+	0.166491i	$0.0532437\pi$
$757$	7.87381	+	24.2331i	0.286178	+	0.880767i	−0.699865	+	0.714276i	$0.746756\pi$
$758$	−11.8367	−	36.4295i	−0.429927	−	1.32318i
$759$	6.10851	+	18.8000i	0.221725	+	0.682398i
$760$	−0.859258	−	2.64452i	−0.0311685	−	0.0959269i
$761$	−2.32887	+	7.16753i	−0.0844215	+	0.259823i	−0.984353	−	0.176209i	$-0.943617\pi$
$761$	−2.32887	+	7.16753i	−0.0844215	+	0.259823i	0.899931	+	0.436032i	$0.143617\pi$
$762$	4.63194	−	3.36530i	0.167797	−	0.121912i
$763$	−2.93445	−	9.03131i	−0.106234	−	0.326955i
$764$	−1.05409	−	0.765838i	−0.0381355	−	0.0277070i
$765$	−7.13980			−0.258140
$766$	9.25179	−	28.4741i	0.334281	−	1.02881i
$767$	12.2924	+	8.93095i	0.443853	+	0.322478i
$768$	−1.38240	+	1.00437i	−0.0498829	+	0.0362420i
$769$	42.9238	−	31.1860i	1.54787	−	1.12460i	0.602728	−	0.797947i	$-0.294080\pi$
$769$	42.9238	−	31.1860i	1.54787	−	1.12460i	0.945146	−	0.326649i	$-0.105920\pi$
$770$	6.31323			0.227513
$771$	−3.99221	+	2.90051i	−0.143776	+	0.104459i
$772$	−0.465817	−	1.43364i	−0.0167651	−	0.0515978i
$773$	−8.06229	+	24.8132i	−0.289980	+	0.892468i	0.694881	+	0.719125i	$0.255457\pi$
$773$	−8.06229	+	24.8132i	−0.289980	+	0.892468i	−0.984862	+	0.173343i	$0.944543\pi$
$774$	0.376718	+	0.273702i	0.0135408	+	0.00983800i
$775$	20.0738	+	14.5845i	0.721074	+	0.523891i
$776$	−25.4898			−0.915029
$777$	0.243435	−	0.749217i	0.00873319	−	0.0268780i
$778$	31.4125			1.12619
$779$	6.85401	+	2.00545i	0.245570	+	0.0718527i
$780$	0.198976			0.00712449
$781$	−3.82322	+	11.7667i	−0.136806	+	0.421044i
$782$	31.6028			1.13011
$783$	13.6950	+	9.95003i	0.489421	+	0.355585i
$784$	3.42932	+	2.49155i	0.122476	+	0.0889838i
$785$	4.13693	−	12.7321i	0.147653	−	0.454430i
$786$	−0.137966	−	0.424617i	−0.00492109	−	0.0151456i
$787$	17.9367	−	13.0318i	0.639376	−	0.464534i	−0.220260	−	0.975441i	$-0.570690\pi$
$787$	17.9367	−	13.0318i	0.639376	−	0.464534i	0.859636	+	0.510907i	$0.170690\pi$
$788$	−3.22359			−0.114836
$789$	8.47343	−	6.15631i	0.301662	−	0.219170i
$790$	−10.1358	+	7.36406i	−0.360614	+	0.262001i
$791$	4.38703	+	3.18737i	0.155985	+	0.113330i
$792$	−10.7485	+	33.0805i	−0.381931	+	1.17546i
$793$	−23.6978			−0.841533
$794$	1.27395	+	0.925582i	0.0452109	+	0.0328477i
$795$	−0.0293645	−	0.0903745i	−0.00104145	−	0.00320525i
$796$	−0.274668	+	0.199558i	−0.00973533	+	0.00707313i
$797$	5.52074	−	16.9911i	0.195555	−	0.601855i	−0.804415	−	0.594068i	$-0.797521\pi$
$797$	5.52074	−	16.9911i	0.195555	−	0.601855i	0.999970	−	0.00778760i	$-0.00247890\pi$
$798$	−0.281675	−	0.866907i	−0.00997119	−	0.0306882i
$799$	4.51848	+	13.9065i	0.159852	+	0.491975i
$800$	0.927815	+	2.85552i	0.0328032	+	0.100958i
$801$	−11.2188	−	34.5279i	−0.396397	−	1.21998i
$802$	6.29210	−	19.3651i	0.222182	−	0.683805i
$803$	60.6318	−	44.0516i	2.13965	−	1.55455i
$804$	0.103390	+	0.318203i	0.00364629	+	0.0112221i
$805$	−5.49510	−	3.99242i	−0.193677	−	0.140714i
$806$	−26.4865			−0.932949
$807$	−1.24202	+	3.82254i	−0.0437211	+	0.134560i
$808$	39.9879	+	29.0529i	1.40677	+	1.02208i
$809$	−15.8554	+	11.5196i	−0.557445	+	0.405008i	−0.830523	−	0.556984i	$-0.811958\pi$
$809$	−15.8554	+	11.5196i	−0.557445	+	0.405008i	0.273078	+	0.961992i	$0.411958\pi$
$810$	6.75737	−	4.90951i	0.237430	−	0.172503i
$811$	−21.8190			−0.766170			−0.383085	−	0.923713i	$-0.625138\pi$
$811$	−21.8190			−0.766170			−0.383085	+	0.923713i	$0.625138\pi$
$812$	−0.548380	+	0.398422i	−0.0192444	+	0.0139819i
$813$	−3.82789	−	11.7810i	−0.134250	−	0.413179i
$814$	−3.00467	+	9.24743i	−0.105314	+	0.324122i
$815$	−1.10888	−	0.805649i	−0.0388424	−	0.0282206i
$816$	−5.59514	−	4.06511i	−0.195869	−	0.142307i
$817$	−0.132554			−0.00463748
$818$	−2.40686	+	7.40757i	−0.0841541	+	0.259000i
$819$	8.19057			0.286202
$820$	0.715684	+	0.209406i	0.0249928	+	0.00731277i
$821$	−30.1631			−1.05270			−0.526349	−	0.850269i	$-0.676439\pi$
$821$	−30.1631			−1.05270			−0.526349	+	0.850269i	$0.676439\pi$
$822$	3.01057	−	9.26557i	0.105006	−	0.323174i
$823$	22.0310			0.767954			0.383977	−	0.923343i	$-0.374554\pi$
$823$	22.0310			0.767954			0.383977	+	0.923343i	$0.374554\pi$
$824$	−38.3472	−	27.8609i	−1.33589	−	0.970580i
$825$	−8.95545	−	6.50651i	−0.311789	−	0.226528i
$826$	2.24597	−	6.91237i	0.0781471	−	0.240512i
$827$	−3.22315	−	9.91983i	−0.112080	−	0.344946i	0.879247	−	0.476366i	$-0.158046\pi$
$827$	−3.22315	−	9.91983i	−0.112080	−	0.344946i	−0.991327	+	0.131420i	$0.958046\pi$
$828$	−2.06275	+	1.49868i	−0.0716857	+	0.0520827i
$829$	30.5978			1.06271			0.531353	−	0.847150i	$-0.321684\pi$
$829$	30.5978			1.06271			0.531353	+	0.847150i	$0.321684\pi$
$830$	1.59990	−	1.16240i	0.0555334	−	0.0403474i
$831$	1.10151	−	0.800297i	0.0382111	−	0.0277620i
$832$	18.3212	+	13.3111i	0.635172	+	0.461480i
$833$	−0.899811	+	2.76933i	−0.0311766	+	0.0959517i
$834$	−10.4734			−0.362664
$835$	−16.6394	−	12.0892i	−0.575829	−	0.418364i
$836$	0.208468	+	0.641599i	0.00721002	+	0.0221902i
$837$	15.3491	−	11.1518i	0.530544	−	0.385462i
$838$	−4.08292	+	12.5659i	−0.141042	+	0.434083i
$839$	−17.4036	−	53.5628i	−0.600840	−	1.84919i	−0.523194	−	0.852214i	$-0.675260\pi$
$839$	−17.4036	−	53.5628i	−0.600840	−	1.84919i	−0.0776462	−	0.996981i	$-0.524740\pi$
$840$	0.431685	+	1.32859i	0.0148946	+	0.0458407i
$841$	−0.237690	−	0.731534i	−0.00819620	−	0.0252253i
$842$	−0.901488	−	2.77450i	−0.0310673	−	0.0956154i
$843$	−3.98133	+	12.2533i	−0.137124	+	0.422025i
$844$	1.65382	−	1.20157i	0.0569269	−	0.0413598i
$845$	1.04422	+	3.21378i	0.0359223	+	0.110557i
$846$	−15.9168	−	11.5642i	−0.547229	−	0.397585i
$847$	11.4807			0.394482
$848$	−0.243352	+	0.748960i	−0.00835674	+	0.0257194i
$849$	−9.50458	−	6.90548i	−0.326196	−	0.236996i
$850$	−14.3173	+	10.4021i	−0.491078	+	0.356789i
$851$	8.46328	−	6.14893i	0.290118	−	0.210783i
$852$	0.186526			0.00639026
$853$	−3.89168	+	2.82747i	−0.133249	+	0.0968109i	−0.652413	−	0.757864i	$-0.726243\pi$
$853$	−3.89168	+	2.82747i	−0.133249	+	0.0968109i	0.519164	+	0.854674i	$0.326243\pi$
$854$	3.50293	+	10.7809i	0.119868	+	0.368915i
$855$	−0.845064	+	2.60084i	−0.0289006	+	0.0889468i
$856$	−38.3882	−	27.8906i	−1.31208	−	0.953282i
$857$	−34.5818	−	25.1251i	−1.18129	−	0.858258i	−0.188974	−	0.981982i	$-0.560516\pi$
$857$	−34.5818	−	25.1251i	−1.18129	−	0.858258i	−0.992317	+	0.123724i	$0.960516\pi$
$858$	11.8163			0.403402
$859$	2.51408	−	7.73754i	0.0857793	−	0.264001i	−0.898962	−	0.438027i	$-0.855677\pi$
$859$	2.51408	−	7.73754i	0.0857793	−	0.264001i	0.984741	+	0.174025i	$0.0556775\pi$
$860$	−0.0138411			−0.000471976
$861$	−3.44341	−	1.00752i	−0.117351	−	0.0343364i
$862$	−13.2755			−0.452165
$863$	11.4002	−	35.0862i	0.388067	−	1.19435i	−0.546164	−	0.837678i	$-0.683912\pi$
$863$	11.4002	−	35.0862i	0.388067	−	1.19435i	0.934231	−	0.356669i	$-0.116088\pi$
$864$	2.29579			0.0781044
$865$	11.7513	+	8.53781i	0.399556	+	0.290294i
$866$	−2.82393	−	2.05171i	−0.0959612	−	0.0697199i
$867$	−1.47541	+	4.54085i	−0.0501076	+	0.154215i
$868$	0.234762	+	0.722522i	0.00796833	+	0.0245240i
$869$	−36.0923	+	26.2226i	−1.22435	+	0.889541i
$870$	−3.96408			−0.134395
$871$	11.5467	−	8.38920i	0.391246	−	0.284257i
$872$	−20.9821	+	15.2444i	−0.710544	+	0.516240i
$873$	20.2810	+	14.7350i	0.686408	+	0.498705i
$874$	3.74049	−	11.5120i	0.126524	−	0.389401i
$875$	8.36790			0.282887
$876$	−0.914096	−	0.664129i	−0.0308844	−	0.0224389i
$877$	17.1335	+	52.7315i	0.578558	+	1.78062i	0.623732	+	0.781639i	$0.285616\pi$
$877$	17.1335	+	52.7315i	0.578558	+	1.78062i	−0.0451738	+	0.998979i	$0.514384\pi$
$878$	−47.4659	+	34.4860i	−1.60190	+	1.16385i
$879$	4.01060	−	12.3434i	0.135274	−	0.416331i
$880$	−5.66946	−	17.4488i	−0.191118	−	0.588199i
$881$	14.9687	+	46.0688i	0.504307	+	1.55210i	0.801932	+	0.597415i	$0.203805\pi$
$881$	14.9687	+	46.0688i	0.504307	+	1.55210i	−0.297625	+	0.954683i	$0.596195\pi$
$882$	−1.21070	−	3.72616i	−0.0407665	−	0.125466i
$883$	16.2898	+	50.1349i	0.548196	+	1.68717i	0.713268	+	0.700891i	$0.247214\pi$
$883$	16.2898	+	50.1349i	0.548196	+	1.68717i	−0.165073	+	0.986281i	$0.552786\pi$
$884$	0.350038	−	1.07731i	0.0117730	−	0.0362337i
$885$	2.06193	−	1.49808i	0.0693110	−	0.0503574i
$886$	−13.2276	−	40.7103i	−0.444389	−	1.36769i
$887$	−2.65564	−	1.92943i	−0.0891676	−	0.0647840i	0.542308	−	0.840180i	$-0.317550\pi$
$887$	−2.65564	−	1.92943i	−0.0891676	−	0.0647840i	−0.631476	+	0.775396i	$0.717550\pi$
$888$	−2.15153			−0.0722007
$889$	−2.16477	+	6.66247i	−0.0726040	+	0.223452i
$890$	14.5598	+	10.5783i	0.488045	+	0.354586i
$891$	24.0622	−	17.4822i	0.806115	−	0.585677i
$892$	2.34257	−	1.70198i	0.0784351	−	0.0569864i
$893$	5.60056			0.187415
$894$	−5.99887	+	4.35844i	−0.200632	+	0.145768i
$895$	2.59827	+	7.99665i	0.0868505	+	0.267298i
$896$	3.79284	−	11.6732i	0.126710	−	0.389973i
$897$	−10.2850	−	7.47252i	−0.343408	−	0.249500i
$898$	−31.7074	−	23.0368i	−1.05809	−	0.768747i
$899$	31.6405			1.05527
$900$	0.441214	−	1.35792i	0.0147071	−	0.0452639i
$901$	−0.540967			−0.0180222
$902$	42.5013	+	12.4357i	1.41514	+	0.414063i
$903$	0.0665942			0.00221612
$904$	4.57660	−	14.0853i	0.152215	−	0.468470i
$905$	13.2474			0.440359
$906$	−5.03086	−	3.65513i	−0.167139	−	0.121434i
$907$	−17.0607	−	12.3954i	−0.566493	−	0.411581i	0.267337	−	0.963603i	$-0.413856\pi$
$907$	−17.0607	−	12.3954i	−0.566493	−	0.411581i	−0.833829	+	0.552022i	$0.813856\pi$
$908$	0.986600	−	3.03644i	0.0327415	−	0.100768i
$909$	−15.0217	−	46.2321i	−0.498239	−	1.53342i
$910$	−3.28477	+	2.38652i	−0.108889	+	0.0791125i
$911$	10.7766			0.357044			0.178522	−	0.983936i	$-0.442868\pi$
$911$	10.7766			0.357044			0.178522	+	0.983936i	$0.442868\pi$
$912$	−2.14305	+	1.55702i	−0.0709634	+	0.0515579i
$913$	5.69707	−	4.13917i	0.188546	−	0.136986i
$914$	0.285841	+	0.207676i	0.00945479	+	0.00686931i
$915$	−1.22836	+	3.78051i	−0.0406085	+	0.124980i
$916$	0.716335			0.0236684
$917$	0.441949	+	0.321095i	0.0145944	+	0.0106035i
$918$	4.18155	+	12.8695i	0.138012	+	0.424757i
$919$	−9.57019	+	6.95315i	−0.315691	+	0.229363i	−0.734335	−	0.678787i	$-0.762506\pi$
$919$	−9.57019	+	6.95315i	−0.315691	+	0.229363i	0.418643	+	0.908151i	$0.362506\pi$
$920$	−5.73254	+	17.6430i	−0.188996	+	0.581671i
$921$	3.14034	+	9.66497i	0.103478	+	0.318471i
$922$	−16.1438	−	49.6856i	−0.531669	−	1.63631i
$923$	−2.45881	−	7.56744i	−0.0809328	−	0.249085i
$924$	−0.104733	−	0.322335i	−0.00344546	−	0.0106040i
$925$	−1.81026	+	5.57140i	−0.0595209	+	0.183187i
$926$	−17.7761	+	12.9151i	−0.584159	+	0.424416i
$927$	14.4054	+	44.3352i	0.473135	+	1.45616i
$928$	3.09747	+	2.25045i	0.101680	+	0.0738745i
$929$	−5.67401			−0.186158			−0.0930790	−	0.995659i	$-0.529671\pi$
$929$	−5.67401			−0.186158			−0.0930790	+	0.995659i	$0.529671\pi$
$930$	−1.37292	+	4.22541i	−0.0450198	+	0.138557i
$931$	0.902293	+	0.655554i	0.0295715	+	0.0214849i
$932$	−2.07575	+	1.50812i	−0.0679935	+	0.0494002i
$933$	−1.25406	+	0.911129i	−0.0410561	+	0.0298290i
$934$	−18.3414			−0.600148
$935$	10.1961	−	7.40793i	0.333449	−	0.242265i
$936$	−6.91263	−	21.2749i	−0.225946	−	0.695392i
$937$	16.0891	−	49.5171i	0.525608	−	1.61765i	−0.237503	−	0.971387i	$-0.576329\pi$
$937$	16.0891	−	49.5171i	0.525608	−	1.61765i	0.763111	−	0.646268i	$-0.223671\pi$
$938$	−5.52333	−	4.01293i	−0.180343	−	0.131027i
$939$	−4.62916	−	3.36328i	−0.151067	−	0.109756i
$940$	0.584801			0.0190741
$941$	2.30723	−	7.10092i	0.0752135	−	0.231483i	−0.906381	−	0.422462i	$-0.861166\pi$
$941$	2.30723	−	7.10092i	0.0752135	−	0.231483i	0.981594	+	0.190978i	$0.0611660\pi$
$942$	−11.9858			−0.390519
$943$	−29.1294	−	37.7015i	−0.948583	−	1.22773i
$944$	−21.1217			−0.687453
$945$	0.898733	−	2.76601i	0.0292358	−	0.0899785i
$946$	−0.821959			−0.0267242
$947$	−25.0868	−	18.2267i	−0.815213	−	0.592287i	0.100124	−	0.994975i	$-0.468076\pi$
$947$	−25.0868	−	18.2267i	−0.815213	−	0.592287i	−0.915337	+	0.402688i	$0.868076\pi$
$948$	0.544134	+	0.395337i	0.0176727	+	0.0128399i
$949$	−14.8943	+	45.8400i	−0.483490	+	1.48803i
$950$	2.09462	+	6.44658i	0.0679585	+	0.209155i
$951$	5.14029	−	3.73464i	0.166685	−	0.121104i
$952$	7.95272			0.257749
$953$	−7.40069	+	5.37692i	−0.239732	+	0.174175i	−0.701164	−	0.713000i	$-0.747336\pi$
$953$	−7.40069	+	5.37692i	−0.239732	+	0.174175i	0.461432	+	0.887176i	$0.347336\pi$
$954$	0.588864	−	0.427835i	0.0190652	−	0.0138517i
$955$	7.54253	+	5.47997i	0.244071	+	0.177328i
$956$	0.653492	−	2.01124i	0.0211354	−	0.0650482i
$957$	−14.1156			−0.456294
$958$	−12.6329	−	9.17833i	−0.408150	−	0.296538i
$959$	3.68360	+	11.3369i	0.118950	+	0.366089i
$960$	3.07320	−	2.23281i	0.0991869	−	0.0720635i
$961$	1.37886	−	4.24368i	0.0444792	−	0.136893i
$962$	−1.93238	−	5.94726i	−0.0623025	−	0.191747i
$963$	14.4208	+	44.3826i	0.464703	+	1.43021i
$964$	−0.280848	−	0.864362i	−0.00904551	−	0.0278392i
$965$	3.33317	+	10.2584i	0.107298	+	0.330231i
$966$	−1.87920	+	5.78357i	−0.0604622	+	0.186083i
$967$	26.3235	−	19.1251i	0.846505	−	0.615022i	−0.0776748	−	0.996979i	$-0.524750\pi$
$967$	26.3235	−	19.1251i	0.846505	−	0.615022i	0.924180	+	0.381957i	$0.124750\pi$
$968$	−9.68942	−	29.8210i	−0.311430	−	0.958482i
$969$	−1.47214	−	1.06958i	−0.0472921	−	0.0343597i
$970$	−12.4270			−0.399006
$971$	4.71533	−	14.5123i	0.151322	−	0.465721i	−0.846448	−	0.532472i	$-0.821263\pi$
$971$	4.71533	−	14.5123i	0.151322	−	0.465721i	0.997770	+	0.0667507i	$0.0212632\pi$
$972$	−1.34924	−	0.980281i	−0.0432769	−	0.0314425i
$973$	10.3674	−	7.53235i	0.332363	−	0.241476i
$974$	−1.80173	+	1.30903i	−0.0577311	+	0.0419441i
$975$	7.11911			0.227994
$976$	26.6511	−	19.3631i	0.853080	−	0.619799i
$977$	2.65438	+	8.16934i	0.0849212	+	0.261360i	0.984496	−	0.175406i	$-0.0561237\pi$
$977$	2.65438	+	8.16934i	0.0849212	+	0.261360i	−0.899575	+	0.436766i	$0.856124\pi$
$978$	−0.379211	+	1.16709i	−0.0121258	+	0.0373195i
$979$	51.8458	+	37.6682i	1.65700	+	1.20388i
$980$	0.0942159	+	0.0684519i	0.00300962	+	0.00218661i
$981$	25.5069			0.814373
$982$	−1.17000	+	3.60088i	−0.0373361	+	0.114909i
$983$	26.5299			0.846173			0.423086	−	0.906089i	$-0.360947\pi$
$983$	26.5299			0.846173			0.423086	+	0.906089i	$0.360947\pi$
$984$	0.289116	+	9.79453i	0.00921667	+	0.312238i
$985$	23.0665			0.734960
$986$	−6.97357	+	21.4625i	−0.222084	+	0.683504i
$987$	−2.81368			−0.0895605
$988$	−0.351003	−	0.255019i	−0.0111669	−	0.00811323i
$989$	0.715442	+	0.519799i	0.0227497	+	0.0165286i
$990$	−5.24019	+	16.1276i	−0.166544	+	0.512570i
$991$	−6.66630	−	20.5168i	−0.211762	−	0.651736i	−0.999368	−	0.0355567i	$-0.988680\pi$
$991$	−6.66630	−	20.5168i	−0.211762	−	0.651736i	0.787606	−	0.616180i	$-0.211320\pi$
$992$	3.47158	−	2.52225i	0.110223	−	0.0800816i
$993$	−3.61178			−0.114616
$994$	−3.07923	+	2.23719i	−0.0976672	+	0.0709594i
$995$	1.96539	−	1.42794i	0.0623071	−	0.0452687i
$996$	−0.0858901	−	0.0624028i	−0.00272153	−	0.00197731i
$997$	11.0652	−	34.0552i	0.350438	−	1.07854i	−0.608169	−	0.793807i	$-0.708096\pi$
$997$	11.0652	−	34.0552i	0.350438	−	1.07854i	0.958608	−	0.284730i	$-0.0919041\pi$
$998$	25.4794			0.806536
$999$	3.62384	+	2.63287i	0.114653	+	0.0833004i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.h.c.57.8	✓	40
41.18	even	5	inner	287.2.h.c.141.8	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.h.c.57.8	✓	40	1.1	even	1	trivial
287.2.h.c.141.8	yes	40	41.18	even	5	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.450739 - 1.38723i) q^{2} +0.560317 q^{3} +(-0.103210 - 0.0749862i) q^{4} +(0.738519 + 0.536566i) q^{5} +(0.252556 - 0.777289i) q^{6} +(0.309017 + 0.951057i) q^{7} +(2.20955 - 1.60533i) q^{8} -2.68604 q^{9} +O(q^{10})\)	\(q+(0.450739 - 1.38723i) q^{2} +0.560317 q^{3} +(-0.103210 - 0.0749862i) q^{4} +(0.738519 + 0.536566i) q^{5} +(0.252556 - 0.777289i) q^{6} +(0.309017 + 0.951057i) q^{7} +(2.20955 - 1.60533i) q^{8} -2.68604 q^{9} +(1.07722 - 0.782646i) q^{10} +(3.83586 - 2.78691i) q^{11} +(-0.0578301 - 0.0420160i) q^{12} +(-0.942287 + 2.90006i) q^{13} +1.45862 q^{14} +(0.413805 + 0.300647i) q^{15} +(-1.30988 - 4.03141i) q^{16} +(2.35574 - 1.71154i) q^{17} +(-1.21070 + 3.72616i) q^{18} +(-0.344645 - 1.06071i) q^{19} +(-0.0359873 - 0.110757i) q^{20} +(0.173147 + 0.532893i) q^{21} +(-2.13712 - 6.57739i) q^{22} +(-2.29930 + 7.07653i) q^{23} +(1.23805 - 0.899496i) q^{24} +(-1.28758 - 3.96275i) q^{25} +(3.59833 + 2.61434i) q^{26} -3.18599 q^{27} +(0.0394226 - 0.121330i) q^{28} +(-4.29852 - 3.12306i) q^{29} +(0.603584 - 0.438530i) q^{30} +(-4.81770 + 3.50026i) q^{31} -0.720590 q^{32} +(2.14930 - 1.56156i) q^{33} +(-1.31248 - 4.03941i) q^{34} +(-0.282089 + 0.868181i) q^{35} +(0.277226 + 0.201416i) q^{36} +(-1.13743 - 0.826392i) q^{37} -1.62679 q^{38} +(-0.527979 + 1.62495i) q^{39} +2.49317 q^{40} +(-3.60918 + 5.28903i) q^{41} +0.817290 q^{42} +(0.0367270 - 0.113034i) q^{43} -0.604878 q^{44} +(-1.98370 - 1.44124i) q^{45} +(8.78039 + 6.37933i) q^{46} +(-1.55176 + 4.77581i) q^{47} +(-0.733950 - 2.25887i) q^{48} +(-0.809017 + 0.587785i) q^{49} -6.07762 q^{50} +(1.31996 - 0.959006i) q^{51} +(0.314718 - 0.228656i) q^{52} +(-0.150300 - 0.109200i) q^{53} +(-1.43605 + 4.41970i) q^{54} +4.32822 q^{55} +(2.20955 + 1.60533i) q^{56} +(-0.193111 - 0.594333i) q^{57} +(-6.26992 + 4.55536i) q^{58} +(1.53979 - 4.73898i) q^{59} +(-0.0201643 - 0.0620593i) q^{60} +(2.40154 + 7.39117i) q^{61} +(2.68415 + 8.26096i) q^{62} +(-0.830034 - 2.55458i) q^{63} +(2.29497 - 7.06319i) q^{64} +(-2.25197 + 1.63615i) q^{65} +(-1.19747 - 3.68542i) q^{66} +(-3.78668 - 2.75118i) q^{67} -0.371477 q^{68} +(-1.28834 + 3.96510i) q^{69} +(1.07722 + 0.782646i) q^{70} +(-2.11106 + 1.53377i) q^{71} +(-5.93496 + 4.31200i) q^{72} +15.8066 q^{73} +(-1.65908 + 1.20539i) q^{74} +(-0.721451 - 2.22040i) q^{75} +(-0.0439678 + 0.135319i) q^{76} +(3.83586 + 2.78691i) q^{77} +(2.01620 + 1.46486i) q^{78} -9.40918 q^{79} +(1.19574 - 3.68011i) q^{80} +6.27297 q^{81} +(5.71031 + 7.39073i) q^{82} +1.48521 q^{83} +(0.0220891 - 0.0679834i) q^{84} +2.65811 q^{85} +(-0.140250 - 0.101898i) q^{86} +(-2.40854 - 1.74990i) q^{87} +(4.00161 - 12.3157i) q^{88} +(4.17670 + 12.8546i) q^{89} +(-2.89346 + 2.10222i) q^{90} -3.04930 q^{91} +(0.767952 - 0.557950i) q^{92} +(-2.69944 + 1.96126i) q^{93} +(5.92572 + 4.30529i) q^{94} +(0.314613 - 0.968279i) q^{95} -0.403759 q^{96} +(-7.55051 - 5.48577i) q^{97} +(0.450739 + 1.38723i) q^{98} +(-10.3033 + 7.48578i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9}+O(q^{10}) \) 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9	\( 40 q - 3 q^{2} - 3 q^{4} - 4 q^{5} - 19 q^{6} - 10 q^{7} + 16 q^{8} + 60 q^{9} + 5 q^{10} - 10 q^{11} - 12 q^{12} - 17 q^{13} + 2 q^{14} - 3 q^{15} - 23 q^{16} - 8 q^{17} - 2 q^{18} + 23 q^{19} - 13 q^{22} - q^{23} + 46 q^{24} - 34 q^{25} + 3 q^{26} - 18 q^{28} - 18 q^{29} - 19 q^{30} - 3 q^{31} - 26 q^{32} - 6 q^{33} - 44 q^{34} + q^{35} - 38 q^{36} - 5 q^{37} + 28 q^{38} + 17 q^{39} + 14 q^{40} - 11 q^{41} - 24 q^{42} + 13 q^{43} + 66 q^{44} + 43 q^{45} - 20 q^{46} - 27 q^{47} + 39 q^{48} - 10 q^{49} + 106 q^{50} - 18 q^{51} - 30 q^{52} - 30 q^{53} - 109 q^{54} + 118 q^{55} + 16 q^{56} - 40 q^{57} - 23 q^{58} - 37 q^{59} + 96 q^{60} - 41 q^{61} - 13 q^{62} - 30 q^{63} + 10 q^{64} + 6 q^{65} - 30 q^{66} - 6 q^{67} - 26 q^{68} - 31 q^{69} + 5 q^{70} - 31 q^{71} + 107 q^{72} - 46 q^{73} + 75 q^{74} - 61 q^{75} + 43 q^{76} - 10 q^{77} + 34 q^{78} + 76 q^{79} + 64 q^{80} + 16 q^{81} - 16 q^{82} - 52 q^{83} - 7 q^{84} + 86 q^{85} - 17 q^{86} - 20 q^{87} - 52 q^{88} - 16 q^{89} + 6 q^{90} + 18 q^{91} + 97 q^{92} + 32 q^{93} - 5 q^{94} - 102 q^{95} + 38 q^{96} - 18 q^{97} - 3 q^{98} - 71 q^{99}+O(q^{100}) \) 40 * q - 3 * q^2 - 3 * q^4 - 4 * q^5 - 19 * q^6 - 10 * q^7 + 16 * q^8 + 60 * q^9 + 5 * q^10 - 10 * q^11 - 12 * q^12 - 17 * q^13 + 2 * q^14 - 3 * q^15 - 23 * q^16 - 8 * q^17 - 2 * q^18 + 23 * q^19 - 13 * q^22 - q^23 + 46 * q^24 - 34 * q^25 + 3 * q^26 - 18 * q^28 - 18 * q^29 - 19 * q^30 - 3 * q^31 - 26 * q^32 - 6 * q^33 - 44 * q^34 + q^35 - 38 * q^36 - 5 * q^37 + 28 * q^38 + 17 * q^39 + 14 * q^40 - 11 * q^41 - 24 * q^42 + 13 * q^43 + 66 * q^44 + 43 * q^45 - 20 * q^46 - 27 * q^47 + 39 * q^48 - 10 * q^49 + 106 * q^50 - 18 * q^51 - 30 * q^52 - 30 * q^53 - 109 * q^54 + 118 * q^55 + 16 * q^56 - 40 * q^57 - 23 * q^58 - 37 * q^59 + 96 * q^60 - 41 * q^61 - 13 * q^62 - 30 * q^63 + 10 * q^64 + 6 * q^65 - 30 * q^66 - 6 * q^67 - 26 * q^68 - 31 * q^69 + 5 * q^70 - 31 * q^71 + 107 * q^72 - 46 * q^73 + 75 * q^74 - 61 * q^75 + 43 * q^76 - 10 * q^77 + 34 * q^78 + 76 * q^79 + 64 * q^80 + 16 * q^81 - 16 * q^82 - 52 * q^83 - 7 * q^84 + 86 * q^85 - 17 * q^86 - 20 * q^87 - 52 * q^88 - 16 * q^89 + 6 * q^90 + 18 * q^91 + 97 * q^92 + 32 * q^93 - 5 * q^94 - 102 * q^95 + 38 * q^96 - 18 * q^97 - 3 * q^98 - 71 * q^99

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