LMFDB - Embedded newform 287.2.h.d.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.d.141.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.567566 - 1.74679i) q^{2} +2.49604 q^{3} +(-1.11111 - 0.807268i) q^{4} +(0.226121 + 0.164287i) q^{5} +(1.41667 - 4.36005i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(0.931061 - 0.676455i) q^{8} +3.23020 q^{9} +O(q^{10})$	\(q+(0.567566 - 1.74679i) q^{2} +2.49604 q^{3} +(-1.11111 - 0.807268i) q^{4} +(0.226121 + 0.164287i) q^{5} +(1.41667 - 4.36005i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(0.931061 - 0.676455i) q^{8} +3.23020 q^{9} +(0.415314 - 0.301743i) q^{10} +(-5.12523 + 3.72370i) q^{11} +(-2.77337 - 2.01497i) q^{12} +(-1.81827 + 5.59607i) q^{13} -1.83668 q^{14} +(0.564408 + 0.410066i) q^{15} +(-1.50200 - 4.62267i) q^{16} +(3.18121 - 2.31128i) q^{17} +(1.83335 - 5.64248i) q^{18} +(-1.02043 - 3.14057i) q^{19} +(-0.118622 - 0.365081i) q^{20} +(-0.771318 - 2.37387i) q^{21} +(3.59561 + 11.0661i) q^{22} +(-0.831956 + 2.56050i) q^{23} +(2.32396 - 1.68846i) q^{24} +(-1.52094 - 4.68098i) q^{25} +(8.74316 + 6.35228i) q^{26} +0.574593 q^{27} +(-0.424406 + 1.30619i) q^{28} +(0.762270 + 0.553821i) q^{29} +(1.03664 - 0.753162i) q^{30} +(-2.60911 + 1.89563i) q^{31} -6.62562 q^{32} +(-12.7928 + 9.29449i) q^{33} +(-2.23178 - 6.86871i) q^{34} +(0.0863707 - 0.265822i) q^{35} +(-3.58911 - 2.60764i) q^{36} +(-0.508880 - 0.369723i) q^{37} -6.06508 q^{38} +(-4.53848 + 13.9680i) q^{39} +0.321666 q^{40} +(5.46812 - 3.33161i) q^{41} -4.58443 q^{42} +(-2.72649 + 8.39127i) q^{43} +8.70071 q^{44} +(0.730418 + 0.530680i) q^{45} +(4.00046 + 2.90650i) q^{46} +(3.81939 - 11.7549i) q^{47} +(-3.74904 - 11.5384i) q^{48} +(-0.809017 + 0.587785i) q^{49} -9.03993 q^{50} +(7.94042 - 5.76905i) q^{51} +(6.53782 - 4.75001i) q^{52} +(11.7687 + 8.55045i) q^{53} +(0.326120 - 1.00369i) q^{54} -1.77068 q^{55} +(-0.931061 - 0.676455i) q^{56} +(-2.54704 - 7.83898i) q^{57} +(1.40005 - 1.01719i) q^{58} +(-1.78706 + 5.50000i) q^{59} +(-0.296085 - 0.911256i) q^{60} +(-1.38158 - 4.25208i) q^{61} +(1.83042 + 5.63345i) q^{62} +(-0.998187 - 3.07210i) q^{63} +(-0.756481 + 2.32821i) q^{64} +(-1.33051 + 0.966673i) q^{65} +(8.97477 + 27.6215i) q^{66} +(0.529278 + 0.384543i) q^{67} -5.40049 q^{68} +(-2.07659 + 6.39110i) q^{69} +(-0.415314 - 0.301743i) q^{70} +(7.12634 - 5.17759i) q^{71} +(3.00752 - 2.18509i) q^{72} -9.09341 q^{73} +(-0.934652 + 0.679065i) q^{74} +(-3.79633 - 11.6839i) q^{75} +(-1.40147 + 4.31328i) q^{76} +(5.12523 + 3.72370i) q^{77} +(21.8233 + 15.8555i) q^{78} +10.7821 q^{79} +(0.419811 - 1.29204i) q^{80} -8.25640 q^{81} +(-2.71610 - 11.4426i) q^{82} +8.11309 q^{83} +(-1.05933 + 3.26029i) q^{84} +1.09905 q^{85} +(13.1103 + 9.52520i) q^{86} +(1.90265 + 1.38236i) q^{87} +(-2.25299 + 6.93398i) q^{88} +(-1.66135 - 5.11310i) q^{89} +(1.34155 - 0.974691i) q^{90} +5.88405 q^{91} +(2.99140 - 2.17338i) q^{92} +(-6.51243 + 4.73156i) q^{93} +(-18.3655 - 13.3434i) q^{94} +(0.285213 - 0.877794i) q^{95} -16.5378 q^{96} +(-6.07896 - 4.41662i) q^{97} +(0.567566 + 1.74679i) q^{98} +(-16.5555 + 12.0283i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9}+O(q^{10}) $ 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9} + 10 q^{10} + 5 q^{11} - 17 q^{12} + 3 q^{13} - 8 q^{14} + 23 q^{15} - 18 q^{16} + 11 q^{17} - 38 q^{18} - 2 q^{19} + 31 q^{20} + 4 q^{22} + 2 q^{23} + 10 q^{24} - 21 q^{25} - 7 q^{26} - 52 q^{27} + 14 q^{28} - 11 q^{29} - 18 q^{30} - 3 q^{31} + 44 q^{32} - 51 q^{33} + 29 q^{34} - 9 q^{35} + 35 q^{36} + 11 q^{37} + 52 q^{38} - 5 q^{39} - 32 q^{40} + 29 q^{41} + 6 q^{42} - 32 q^{43} - 92 q^{44} - 56 q^{45} + 26 q^{46} + 29 q^{47} + 11 q^{48} - 10 q^{49} - 24 q^{50} - 4 q^{51} + 3 q^{52} + 30 q^{53} + 58 q^{54} - 100 q^{55} - 3 q^{56} - 49 q^{57} + 25 q^{58} + 5 q^{59} - 91 q^{60} + 22 q^{61} - 34 q^{62} + 13 q^{63} - 9 q^{64} + 21 q^{65} + 29 q^{66} + 9 q^{67} - 20 q^{68} + 30 q^{69} - 10 q^{70} + 34 q^{71} - 37 q^{72} - 20 q^{73} - 58 q^{74} + 41 q^{75} - 37 q^{76} - 5 q^{77} + 63 q^{78} + 66 q^{79} + 22 q^{80} + 96 q^{81} + 76 q^{82} - 22 q^{83} - 38 q^{84} - 26 q^{85} + 3 q^{86} + 49 q^{87} - 19 q^{89} - q^{90} + 22 q^{91} - 2 q^{92} - 39 q^{93} + 66 q^{94} + 71 q^{95} - 302 q^{96} + 47 q^{97} - 2 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9 + 10 * q^10 + 5 * q^11 - 17 * q^12 + 3 * q^13 - 8 * q^14 + 23 * q^15 - 18 * q^16 + 11 * q^17 - 38 * q^18 - 2 * q^19 + 31 * q^20 + 4 * q^22 + 2 * q^23 + 10 * q^24 - 21 * q^25 - 7 * q^26 - 52 * q^27 + 14 * q^28 - 11 * q^29 - 18 * q^30 - 3 * q^31 + 44 * q^32 - 51 * q^33 + 29 * q^34 - 9 * q^35 + 35 * q^36 + 11 * q^37 + 52 * q^38 - 5 * q^39 - 32 * q^40 + 29 * q^41 + 6 * q^42 - 32 * q^43 - 92 * q^44 - 56 * q^45 + 26 * q^46 + 29 * q^47 + 11 * q^48 - 10 * q^49 - 24 * q^50 - 4 * q^51 + 3 * q^52 + 30 * q^53 + 58 * q^54 - 100 * q^55 - 3 * q^56 - 49 * q^57 + 25 * q^58 + 5 * q^59 - 91 * q^60 + 22 * q^61 - 34 * q^62 + 13 * q^63 - 9 * q^64 + 21 * q^65 + 29 * q^66 + 9 * q^67 - 20 * q^68 + 30 * q^69 - 10 * q^70 + 34 * q^71 - 37 * q^72 - 20 * q^73 - 58 * q^74 + 41 * q^75 - 37 * q^76 - 5 * q^77 + 63 * q^78 + 66 * q^79 + 22 * q^80 + 96 * q^81 + 76 * q^82 - 22 * q^83 - 38 * q^84 - 26 * q^85 + 3 * q^86 + 49 * q^87 - 19 * q^89 - q^90 + 22 * q^91 - 2 * q^92 - 39 * q^93 + 66 * q^94 + 71 * q^95 - 302 * q^96 + 47 * q^97 - 2 * q^98 + 28 * 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 $

$2$	0.567566	−	1.74679i	0.401330	−	1.23517i	−0.522591	−	0.852584i	$-0.675034\pi$
$2$	0.567566	−	1.74679i	0.401330	−	1.23517i	0.923921	−	0.382583i	$-0.124966\pi$
$3$	2.49604			1.44109			0.720544	−	0.693409i	$-0.243892\pi$
$3$	2.49604			1.44109			0.720544	+	0.693409i	$0.243892\pi$
$4$	−1.11111	−	0.807268i	−0.555554	−	0.403634i
$5$	0.226121	+	0.164287i	0.101125	+	0.0734713i	0.637198	−	0.770700i	$-0.280093\pi$
$5$	0.226121	+	0.164287i	0.101125	+	0.0734713i	−0.536074	+	0.844171i	$0.680093\pi$
$6$	1.41667	−	4.36005i	0.578352	−	1.77998i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$8$	0.931061	−	0.676455i	0.329180	−	0.239163i
$9$	3.23020			1.07673
$10$	0.415314	−	0.301743i	0.131334	−	0.0954195i
$11$	−5.12523	+	3.72370i	−1.54532	+	1.12274i	−0.598426	+	0.801178i	$0.704207\pi$
$11$	−5.12523	+	3.72370i	−1.54532	+	1.12274i	−0.946890	+	0.321559i	$0.895793\pi$
$12$	−2.77337	−	2.01497i	−0.800603	−	0.581672i
$13$	−1.81827	+	5.59607i	−0.504298	+	1.55207i	0.297649	+	0.954675i	$0.403797\pi$
$13$	−1.81827	+	5.59607i	−0.504298	+	1.55207i	−0.801947	+	0.597395i	$0.796203\pi$
$14$	−1.83668			−0.490874
$15$	0.564408	+	0.410066i	0.145729	+	0.105879i
$16$	−1.50200	−	4.62267i	−0.375500	−	1.15567i
$17$	3.18121	−	2.31128i	0.771557	−	0.560569i	−0.130877	−	0.991399i	$-0.541779\pi$
$17$	3.18121	−	2.31128i	0.771557	−	0.560569i	0.902433	+	0.430830i	$0.141779\pi$
$18$	1.83335	−	5.64248i	0.432126	−	1.32995i
$19$	−1.02043	−	3.14057i	−0.234103	−	0.720496i	−0.997239	−	0.0742579i	$-0.976341\pi$
$19$	−1.02043	−	3.14057i	−0.234103	−	0.720496i	0.763136	−	0.646238i	$-0.223659\pi$
$20$	−0.118622	−	0.365081i	−0.0265247	−	0.0816346i
$21$	−0.771318	−	2.37387i	−0.168315	−	0.518021i
$22$	3.59561	+	11.0661i	0.766586	+	2.35931i
$23$	−0.831956	+	2.56050i	−0.173475	+	0.533900i	−0.999561	−	0.0296440i	$-0.990563\pi$
$23$	−0.831956	+	2.56050i	−0.173475	+	0.533900i	0.826086	+	0.563544i	$0.190563\pi$
$24$	2.32396	−	1.68846i	0.474377	−	0.344655i
$25$	−1.52094	−	4.68098i	−0.304189	−	0.936197i
$26$	8.74316	+	6.35228i	1.71468	+	1.24578i
$27$	0.574593			0.110581
$28$	−0.424406	+	1.30619i	−0.0802052	+	0.246846i
$29$	0.762270	+	0.553821i	0.141550	+	0.102842i	0.656307	−	0.754494i	$-0.272118\pi$
$29$	0.762270	+	0.553821i	0.141550	+	0.102842i	−0.514757	+	0.857336i	$0.672118\pi$
$30$	1.03664	−	0.753162i	0.189263	−	0.137508i
$31$	−2.60911	+	1.89563i	−0.468609	+	0.340465i	−0.796899	−	0.604112i	$-0.793528\pi$
$31$	−2.60911	+	1.89563i	−0.468609	+	0.340465i	0.328290	+	0.944577i	$0.393528\pi$
$32$	−6.62562			−1.17125
$33$	−12.7928	+	9.29449i	−2.22693	+	1.61796i
$34$	−2.23178	−	6.86871i	−0.382747	−	1.17797i
$35$	0.0863707	−	0.265822i	0.0145993	−	0.0449321i
$36$	−3.58911	−	2.60764i	−0.598184	−	0.434606i
$37$	−0.508880	−	0.369723i	−0.0836594	−	0.0607821i	0.545169	−	0.838326i	$-0.316465\pi$
$37$	−0.508880	−	0.369723i	−0.0836594	−	0.0607821i	−0.628829	+	0.777544i	$0.716465\pi$
$38$	−6.06508			−0.983886
$39$	−4.53848	+	13.9680i	−0.726738	+	2.23667i
$40$	0.321666			0.0508598
$41$	5.46812	−	3.33161i	0.853977	−	0.520310i
$41$	5.46812	−	3.33161i	0.853977	−	0.520310i
$42$	−4.58443			−0.707393
$43$	−2.72649	+	8.39127i	−0.415786	+	1.27966i	0.495761	+	0.868459i	$0.334889\pi$
$43$	−2.72649	+	8.39127i	−0.415786	+	1.27966i	−0.911546	+	0.411197i	$0.865111\pi$
$44$	8.70071			1.31168
$45$	0.730418	+	0.530680i	0.108884	+	0.0791091i
$46$	4.00046	+	2.90650i	0.589836	+	0.428541i
$47$	3.81939	−	11.7549i	0.557116	−	1.71463i	−0.133174	−	0.991093i	$-0.542517\pi$
$47$	3.81939	−	11.7549i	0.557116	−	1.71463i	0.690290	−	0.723533i	$-0.257483\pi$
$48$	−3.74904	−	11.5384i	−0.541128	−	1.66542i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	−9.03993			−1.27844
$51$	7.94042	−	5.76905i	1.11188	−	0.807829i
$52$	6.53782	−	4.75001i	0.906633	−	0.658707i
$53$	11.7687	+	8.55045i	1.61655	+	1.17449i	0.833417	+	0.552645i	$0.186381\pi$
$53$	11.7687	+	8.55045i	1.61655	+	1.17449i	0.783136	+	0.621850i	$0.213619\pi$
$54$	0.326120	−	1.00369i	0.0443793	−	0.136585i
$55$	−1.77068			−0.238758
$56$	−0.931061	−	0.676455i	−0.124418	−	0.0903952i
$57$	−2.54704	−	7.83898i	−0.337364	−	1.03830i
$58$	1.40005	−	1.01719i	0.183835	−	0.133564i
$59$	−1.78706	+	5.50000i	−0.232655	+	0.716039i	0.764769	+	0.644305i	$0.222853\pi$
$59$	−1.78706	+	5.50000i	−0.232655	+	0.716039i	−0.997424	+	0.0717338i	$0.977147\pi$
$60$	−0.296085	−	0.911256i	−0.0382244	−	0.117643i
$61$	−1.38158	−	4.25208i	−0.176894	−	0.544423i	0.822821	−	0.568300i	$-0.192399\pi$
$61$	−1.38158	−	4.25208i	−0.176894	−	0.544423i	−0.999715	+	0.0238774i	$0.992399\pi$
$62$	1.83042	+	5.63345i	0.232464	+	0.715449i
$63$	−0.998187	−	3.07210i	−0.125760	−	0.387049i
$64$	−0.756481	+	2.32821i	−0.0945601	+	0.291026i
$65$	−1.33051	+	0.966673i	−0.165030	+	0.119901i
$66$	8.97477	+	27.6215i	1.10472	+	3.39997i
$67$	0.529278	+	0.384543i	0.0646616	+	0.0469794i	0.619647	−	0.784881i	$-0.287276\pi$
$67$	0.529278	+	0.384543i	0.0646616	+	0.0469794i	−0.554985	+	0.831860i	$0.687276\pi$
$68$	−5.40049			−0.654906
$69$	−2.07659	+	6.39110i	−0.249992	+	0.769397i
$70$	−0.415314	−	0.301743i	−0.0496395	−	0.0360652i
$71$	7.12634	−	5.17759i	0.845741	−	0.614467i	−0.0782271	−	0.996936i	$-0.524926\pi$
$71$	7.12634	−	5.17759i	0.845741	−	0.614467i	0.923969	+	0.382468i	$0.124926\pi$
$72$	3.00752	−	2.18509i	0.354439	−	0.257515i
$73$	−9.09341			−1.06430			−0.532152	−	0.846649i	$-0.678616\pi$
$73$	−9.09341			−1.06430			−0.532152	+	0.846649i	$0.678616\pi$
$74$	−0.934652	+	0.679065i	−0.108651	+	0.0789397i
$75$	−3.79633	−	11.6839i	−0.438363	−	1.34914i
$76$	−1.40147	+	4.31328i	−0.160760	+	0.494767i
$77$	5.12523	+	3.72370i	0.584074	+	0.424355i
$78$	21.8233	+	15.8555i	2.47100	+	1.79528i
$79$	10.7821			1.21308			0.606542	−	0.795051i	$-0.292556\pi$
$79$	10.7821			1.21308			0.606542	+	0.795051i	$0.292556\pi$
$80$	0.419811	−	1.29204i	0.0469363	−	0.144455i
$81$	−8.25640			−0.917378
$82$	−2.71610	−	11.4426i	−0.299943	−	1.26362i
$83$	8.11309			0.890527			0.445264	−	0.895400i	$-0.353110\pi$
$83$	8.11309			0.890527			0.445264	+	0.895400i	$0.353110\pi$
$84$	−1.05933	+	3.26029i	−0.115583	+	0.355727i
$85$	1.09905			0.119209
$86$	13.1103	+	9.52520i	1.41372	+	1.02713i
$87$	1.90265	+	1.38236i	0.203986	+	0.148204i
$88$	−2.25299	+	6.93398i	−0.240169	+	0.739165i
$89$	−1.66135	−	5.11310i	−0.176102	−	0.541988i	0.823580	−	0.567201i	$-0.191974\pi$
$89$	−1.66135	−	5.11310i	−0.176102	−	0.541988i	−0.999682	+	0.0252130i	$0.991974\pi$
$90$	1.34155	−	0.974691i	0.141411	−	0.102741i
$91$	5.88405			0.616816
$92$	2.99140	−	2.17338i	0.311875	−	0.226590i
$93$	−6.51243	+	4.73156i	−0.675307	+	0.490639i
$94$	−18.3655	−	13.3434i	−1.89426	−	1.37626i
$95$	0.285213	−	0.877794i	0.0292622	−	0.0900598i
$96$	−16.5378			−1.68788
$97$	−6.07896	−	4.41662i	−0.617224	−	0.448440i	0.234726	−	0.972061i	$-0.424581\pi$
$97$	−6.07896	−	4.41662i	−0.617224	−	0.448440i	−0.851951	+	0.523622i	$0.824581\pi$
$98$	0.567566	+	1.74679i	0.0573329	+	0.176452i
$99$	−16.5555	+	12.0283i	−1.66389	+	1.20889i
$100$	−2.08887	+	6.42889i	−0.208887	+	0.642889i
$101$	2.09334	+	6.44263i	0.208295	+	0.641066i	0.999562	+	0.0295952i	$0.00942182\pi$
$101$	2.09334	+	6.44263i	0.208295	+	0.641066i	−0.791267	+	0.611471i	$0.790578\pi$
$102$	−5.57060	−	17.1446i	−0.551572	−	1.69756i
$103$	−0.161023	−	0.495577i	−0.0158660	−	0.0488307i	0.942810	−	0.333330i	$-0.108172\pi$
$103$	−0.161023	−	0.495577i	−0.0158660	−	0.0488307i	−0.958676	+	0.284500i	$0.908172\pi$
$104$	2.09257	+	6.44026i	0.205193	+	0.631519i
$105$	0.215585	−	0.663501i	0.0210389	−	0.0647511i
$106$	21.6154	−	15.7045i	2.09947	−	1.52535i
$107$	3.85707	+	11.8708i	0.372877	+	1.14760i	0.944900	+	0.327360i	$0.106159\pi$
$107$	3.85707	+	11.8708i	0.372877	+	1.14760i	−0.572023	+	0.820238i	$0.693841\pi$
$108$	−0.638436	−	0.463851i	−0.0614335	−	0.0446341i
$109$	3.80010			0.363983			0.181992	−	0.983300i	$-0.441746\pi$
$109$	3.80010			0.363983			0.181992	+	0.983300i	$0.441746\pi$
$110$	−1.00498	+	3.09300i	−0.0958209	+	0.294906i
$111$	−1.27018	−	0.922843i	−0.120561	−	0.0875924i
$112$	−3.93228	+	2.85697i	−0.371566	+	0.269958i
$113$	1.70773	−	1.24074i	0.160650	−	0.116719i	−0.504556	−	0.863379i	$-0.668344\pi$
$113$	1.70773	−	1.24074i	0.160650	−	0.116719i	0.665206	+	0.746660i	$0.268344\pi$
$114$	−15.1387			−1.41787
$115$	−0.608779	+	0.442304i	−0.0567689	+	0.0412450i
$116$	−0.399883	−	1.23071i	−0.0371282	−	0.114269i
$117$	−5.87339	+	18.0764i	−0.542995	+	1.67117i
$118$	8.59307	+	6.24323i	0.791056	+	0.574736i
$119$	−3.18121	−	2.31128i	−0.291621	−	0.211875i
$120$	0.802889			0.0732934
$121$	9.00288	−	27.7080i	0.818443	−	2.51891i
$122$	−8.21163			−0.743446
$123$	13.6486	−	8.31582i	1.23066	−	0.749813i
$124$	4.42928			0.397761
$125$	0.856960	−	2.63745i	0.0766488	−	0.235901i
$126$	−5.93286			−0.528541
$127$	−6.74284	−	4.89896i	−0.598330	−	0.434712i	0.246956	−	0.969027i	$-0.420570\pi$
$127$	−6.74284	−	4.89896i	−0.598330	−	0.434712i	−0.845286	+	0.534314i	$0.820570\pi$
$128$	−7.08293	−	5.14605i	−0.626049	−	0.454851i
$129$	−6.80542	+	20.9449i	−0.599183	+	1.84410i
$130$	0.933421	+	2.87277i	0.0818664	+	0.251959i
$131$	−14.0252	+	10.1899i	−1.22539	+	0.890299i	−0.996536	−	0.0831617i	$-0.973498\pi$
$131$	−14.0252	+	10.1899i	−1.22539	+	0.890299i	−0.228855	+	0.973460i	$0.573498\pi$
$132$	21.7173			1.89025
$133$	−2.67153	+	1.94098i	−0.231651	+	0.168304i
$134$	0.972117	−	0.706284i	0.0839781	−	0.0610137i
$135$	0.129928	+	0.0943981i	0.0111824	+	0.00812450i
$136$	1.39842	−	4.30389i	0.119913	−	0.369056i
$137$	2.94239			0.251385			0.125693	−	0.992069i	$-0.459885\pi$
$137$	2.94239			0.251385			0.125693	+	0.992069i	$0.459885\pi$
$138$	9.98530	+	7.25474i	0.850005	+	0.617565i
$139$	−4.79441	−	14.7557i	−0.406657	−	1.25156i	−0.919504	−	0.393081i	$-0.871409\pi$
$139$	−4.79441	−	14.7557i	−0.406657	−	1.25156i	0.512847	−	0.858480i	$-0.328591\pi$
$140$	−0.310557	+	0.225633i	−0.0262468	+	0.0190694i
$141$	9.53335	−	29.3406i	0.802853	−	2.47093i
$142$	−4.99949	−	15.3869i	−0.419548	−	1.29124i
$143$	−11.5190	−	35.4518i	−0.963267	−	2.96463i
$144$	−4.85176	−	14.9322i	−0.404313	−	1.24435i
$145$	0.0813800	+	0.250462i	0.00675824	+	0.0207997i
$146$	−5.16111	+	15.8843i	−0.427137	+	1.31459i
$147$	−2.01934	+	1.46713i	−0.166552	+	0.121007i
$148$	0.266956	+	0.821606i	0.0219436	+	0.0675356i
$149$	4.65006	+	3.37847i	0.380948	+	0.276775i	0.761736	−	0.647887i	$-0.224347\pi$
$149$	4.65006	+	3.37847i	0.380948	+	0.276775i	−0.380788	+	0.924662i	$0.624347\pi$
$150$	−22.5640			−1.84234
$151$	−2.83271	+	8.71820i	−0.230523	+	0.709477i	0.767161	+	0.641455i	$0.221669\pi$
$151$	−2.83271	+	8.71820i	−0.230523	+	0.709477i	−0.997684	+	0.0680220i	$0.978331\pi$
$152$	−3.07454	−	2.23378i	−0.249378	−	0.181184i
$153$	10.2759	−	7.46591i	0.830761	−	0.603583i
$154$	9.41343	−	6.83925i	0.758556	−	0.551123i
$155$	−0.901402			−0.0724023
$156$	16.3187	−	11.8562i	1.30654	−	0.949255i
$157$	−1.85063	−	5.69566i	−0.147696	−	0.454563i	0.849651	−	0.527345i	$-0.176812\pi$
$157$	−1.85063	−	5.69566i	−0.147696	−	0.454563i	−0.997348	+	0.0727817i	$0.976812\pi$
$158$	6.11958	−	18.8341i	0.486847	−	1.49836i
$159$	29.3751	+	21.3422i	2.32960	+	1.69255i
$160$	−1.49819	−	1.08850i	−0.118443	−	0.0860536i
$161$	2.69227			0.212180
$162$	−4.68606	+	14.4222i	−0.368171	+	1.13311i
$163$	−16.3366			−1.27958			−0.639790	−	0.768549i	$-0.720979\pi$
$163$	−16.3366			−1.27958			−0.639790	+	0.768549i	$0.720979\pi$
$164$	−8.76518	−	0.712459i	−0.684446	−	0.0556337i
$165$	−4.41968			−0.344072
$166$	4.60472	−	14.1719i	0.357395	−	1.09995i
$167$	−13.9249			−1.07754			−0.538770	−	0.842453i	$-0.681111\pi$
$167$	−13.9249			−1.07754			−0.538770	+	0.842453i	$0.681111\pi$
$168$	−2.32396	−	1.68846i	−0.179298	−	0.130267i
$169$	−17.4926	−	12.7091i	−1.34559	−	0.977626i
$170$	0.623786	−	1.91982i	0.0478422	−	0.147243i
$171$	−3.29621	−	10.1447i	−0.252067	−	0.775783i
$172$	9.80343	−	7.12261i	0.747504	−	0.543094i
$173$	7.09447			0.539382			0.269691	−	0.962947i	$-0.413078\pi$
$173$	7.09447			0.539382			0.269691	+	0.962947i	$0.413078\pi$
$174$	3.49457	−	2.53896i	0.264923	−	0.192478i
$175$	−3.98188	+	2.89301i	−0.301002	+	0.218691i
$176$	24.9115	+	18.0993i	1.87778	+	1.36429i
$177$	−4.46056	+	13.7282i	−0.335276	+	1.03187i
$178$	−9.87444			−0.740121
$179$	−9.87349	−	7.17351i	−0.737979	−	0.536173i	0.154098	−	0.988056i	$-0.450753\pi$
$179$	−9.87349	−	7.17351i	−0.737979	−	0.536173i	−0.892078	+	0.451882i	$0.850753\pi$
$180$	−0.383173	−	1.17929i	−0.0285601	−	0.0878988i
$181$	5.95070	−	4.32344i	0.442312	−	0.321358i	−0.344241	−	0.938881i	$-0.611864\pi$
$181$	5.95070	−	4.32344i	0.442312	−	0.321358i	0.786553	+	0.617523i	$0.211864\pi$
$182$	3.33959	−	10.2782i	0.247547	−	0.761871i
$183$	−3.44849	−	10.6133i	−0.254919	−	0.784561i
$184$	0.957460	+	2.94676i	0.0705849	+	0.217238i
$185$	−0.0543281	−	0.167205i	−0.00399428	−	0.0122931i
$186$	4.56880	+	14.0613i	0.335000	+	1.03103i
$187$	−7.69791	+	23.6917i	−0.562927	+	1.73251i
$188$	−13.7331	+	9.97768i	−1.00159	+	0.727697i
$189$	−0.177559	−	0.546471i	−0.0129155	−	0.0397499i
$190$	−1.37144	−	0.996413i	−0.0994951	−	0.0722874i
$191$	18.8926			1.36702			0.683510	−	0.729941i	$-0.260452\pi$
$191$	18.8926			1.36702			0.683510	+	0.729941i	$0.260452\pi$
$192$	−1.88820	+	5.81129i	−0.136269	+	0.419394i
$193$	1.32633	+	0.963636i	0.0954714	+	0.0693641i	0.634497	−	0.772925i	$-0.281207\pi$
$193$	1.32633	+	0.963636i	0.0954714	+	0.0693641i	−0.539025	+	0.842289i	$0.681207\pi$
$194$	−11.1651	+	8.11193i	−0.801609	+	0.582403i
$195$	−3.32100	+	2.41285i	−0.237822	+	0.172788i
$196$	1.37341			0.0981004
$197$	−6.58188	+	4.78201i	−0.468939	+	0.340704i	−0.797028	−	0.603943i	$-0.793596\pi$
$197$	−6.58188	+	4.78201i	−0.468939	+	0.340704i	0.328088	+	0.944647i	$0.393596\pi$
$198$	11.6145	+	35.7459i	0.825410	+	2.54035i
$199$	−2.60736	+	8.02461i	−0.184830	+	0.568850i	−0.999945	−	0.0104495i	$-0.996674\pi$
$199$	−2.60736	+	8.02461i	−0.184830	+	0.568850i	0.815115	+	0.579299i	$0.196674\pi$
$200$	−4.58257	−	3.32943i	−0.324037	−	0.235426i
$201$	1.32110	+	0.959834i	0.0931831	+	0.0677015i
$202$	12.4420			0.875419
$203$	0.291161	−	0.896102i	0.0204355	−	0.0628940i
$204$	−13.4798			−0.943777
$205$	1.78380	+	0.144992i	0.124586	+	0.0101267i
$206$	−0.957060			−0.0666815
$207$	−2.68739	+	8.27092i	−0.186786	+	0.574869i
$208$	28.5998			1.98304
$209$	16.9245	+	12.2964i	1.17069	+	0.850557i
$210$	−1.03664	−	0.753162i	−0.0715348	−	0.0519731i
$211$	−3.71340	+	11.4287i	−0.255641	+	0.786782i	0.738062	+	0.674733i	$0.235741\pi$
$211$	−3.71340	+	11.4287i	−0.255641	+	0.786782i	−0.993703	+	0.112049i	$0.964259\pi$
$212$	−6.17379	−	19.0010i	−0.424017	−	1.30499i
$213$	17.7876	−	12.9235i	1.21879	−	0.885501i
$214$	22.9250			1.56712
$215$	−1.99509	+	1.44952i	−0.136064	+	0.0988564i
$216$	0.534981	−	0.388687i	0.0364009	−	0.0264468i
$217$	2.60911	+	1.89563i	0.177118	+	0.128684i
$218$	2.15681	−	6.63797i	0.146077	−	0.449580i
$219$	−22.6975			−1.53375
$220$	1.96742	+	1.42941i	0.132643	+	0.0963710i
$221$	7.14979	+	22.0048i	0.480947	+	1.48020i
$222$	−2.33293	+	1.69497i	−0.156576	+	0.113759i
$223$	3.30000	−	10.1564i	0.220985	−	0.680121i	−0.777690	−	0.628648i	$-0.783609\pi$
$223$	3.30000	−	10.1564i	0.220985	−	0.680121i	0.998674	−	0.0514724i	$-0.0163914\pi$
$224$	2.04743	+	6.30133i	0.136800	+	0.421026i
$225$	−4.91296	−	15.1205i	−0.327530	−	1.00804i
$226$	−1.19806	−	3.68725i	−0.0796938	−	0.245272i
$227$	−7.05260	−	21.7057i	−0.468098	−	1.44066i	−0.855045	−	0.518554i	$-0.826470\pi$
$227$	−7.05260	−	21.7057i	−0.468098	−	1.44066i	0.386947	−	0.922102i	$-0.373530\pi$
$228$	−3.49812	+	10.7661i	−0.231669	+	0.713003i
$229$	7.70044	−	5.59469i	0.508859	−	0.369708i	−0.303532	−	0.952821i	$-0.598166\pi$
$229$	7.70044	−	5.59469i	0.508859	−	0.369708i	0.812391	+	0.583114i	$0.198166\pi$
$230$	0.427089	+	1.31445i	0.0281614	+	0.0866720i
$231$	12.7928	+	9.29449i	0.841702	+	0.611532i
$232$	1.08436			0.0711914
$233$	−6.12960	+	18.8650i	−0.401564	+	1.23589i	0.522167	+	0.852843i	$0.325124\pi$
$233$	−6.12960	+	18.8650i	−0.401564	+	1.23589i	−0.923731	+	0.383043i	$0.874876\pi$
$234$	28.2422	+	20.5191i	1.84625	+	1.34138i
$235$	2.79482	−	2.03056i	0.182314	−	0.132459i
$236$	6.42559	−	4.66846i	0.418270	−	0.303891i
$237$	26.9126			1.74816
$238$	−5.84287	+	4.24510i	−0.378737	+	0.275169i
$239$	4.07560	+	12.5434i	0.263628	+	0.811365i	0.992006	+	0.126189i	$0.0402746\pi$
$239$	4.07560	+	12.5434i	0.263628	+	0.811365i	−0.728378	+	0.685176i	$0.759725\pi$
$240$	1.04786	−	3.22499i	0.0676393	−	0.208172i
$241$	−1.01768	−	0.739387i	−0.0655545	−	0.0476281i	0.554525	−	0.832167i	$-0.312900\pi$
$241$	−1.01768	−	0.739387i	−0.0655545	−	0.0476281i	−0.620080	+	0.784539i	$0.712900\pi$
$242$	−43.2903	−	31.4523i	−2.78281	−	2.02183i
$243$	−22.3321			−1.43260
$244$	−1.89748	+	5.83983i	−0.121473	+	0.373857i
$245$	−0.279502			−0.0178567
$246$	−6.77949	−	28.5611i	−0.432244	−	1.82099i
$247$	19.4303			1.23632
$248$	−1.14693	+	3.52989i	−0.0728301	+	0.224148i
$249$	20.2506			1.28333
$250$	−4.12069	−	2.99386i	−0.260615	−	0.189348i
$251$	−4.59490	−	3.33839i	−0.290027	−	0.210717i	0.433252	−	0.901273i	$-0.357366\pi$
$251$	−4.59490	−	3.33839i	−0.290027	−	0.210717i	−0.723279	+	0.690556i	$0.757366\pi$
$252$	−1.37092	+	4.21925i	−0.0863596	+	0.265788i
$253$	−5.27055	−	16.2211i	−0.331357	−	1.01981i
$254$	−12.3845	+	8.99784i	−0.777070	+	0.564574i
$255$	2.74328			0.171791
$256$	−16.9701	+	12.3295i	−1.06063	+	0.770593i
$257$	20.1160	−	14.6151i	1.25480	−	0.911666i	0.256311	−	0.966594i	$-0.417493\pi$
$257$	20.1160	−	14.6151i	1.25480	−	0.911666i	0.998490	+	0.0549282i	$0.0174930\pi$
$258$	32.7238	+	23.7753i	2.03730	+	1.48018i
$259$	−0.194375	+	0.598225i	−0.0120779	+	0.0371719i
$260$	2.25871			0.140079
$261$	2.46229	+	1.78896i	0.152412	+	0.110734i
$262$	9.83942	+	30.2826i	0.607881	+	1.87087i
$263$	−8.11679	+	5.89719i	−0.500502	+	0.363636i	−0.809209	−	0.587521i	$-0.800104\pi$
$263$	−8.11679	+	5.89719i	−0.500502	+	0.363636i	0.308706	+	0.951157i	$0.400104\pi$
$264$	−5.62354	+	17.3075i	−0.346105	+	1.06520i
$265$	1.25643	+	3.86688i	0.0771816	+	0.237541i
$266$	1.87421	+	5.76823i	0.114915	+	0.353673i
$267$	−4.14679	−	12.7625i	−0.253779	−	0.781052i
$268$	−0.277656	−	0.854539i	−0.0169606	−	0.0521993i
$269$	5.29732	−	16.3035i	0.322983	−	0.994041i	−0.649359	−	0.760482i	$-0.724963\pi$
$269$	5.29732	−	16.3035i	0.322983	−	0.994041i	0.972343	−	0.233559i	$-0.0750372\pi$
$270$	0.238636	−	0.173379i	0.0145229	−	0.0105515i
$271$	1.62623	+	5.00503i	0.0987866	+	0.304034i	0.988222	−	0.153027i	$-0.0489021\pi$
$271$	1.62623	+	5.00503i	0.0987866	+	0.304034i	−0.889435	+	0.457061i	$0.848902\pi$
$272$	−15.4625	−	11.2342i	−0.937551	−	0.681171i
$273$	14.6868			0.888887
$274$	1.67000	−	5.13973i	0.100888	−	0.310502i
$275$	25.2258	+	18.3276i	1.52117	+	1.10520i
$276$	7.46665	−	5.42484i	0.449439	−	0.326537i
$277$	−6.33322	+	4.60135i	−0.380526	+	0.276468i	−0.761562	−	0.648092i	$-0.775567\pi$
$277$	−6.33322	+	4.60135i	−0.380526	+	0.276468i	0.381036	+	0.924560i	$0.375567\pi$
$278$	−28.4962			−1.70909
$279$	−8.42794	+	6.12326i	−0.504568	+	0.366590i
$280$	−0.0994001	−	0.305922i	−0.00594029	−	0.0182823i
$281$	−0.867559	+	2.67007i	−0.0517542	+	0.159283i	−0.973593	−	0.228290i	$-0.926687\pi$
$281$	−0.867559	+	2.67007i	−0.0517542	+	0.159283i	0.921839	+	0.387573i	$0.126687\pi$
$282$	−45.8411	−	33.3055i	−2.72980	−	1.98331i
$283$	2.07785	+	1.50964i	0.123515	+	0.0897390i	0.647828	−	0.761787i	$-0.275678\pi$
$283$	2.07785	+	1.50964i	0.123515	+	0.0897390i	−0.524313	+	0.851526i	$0.675678\pi$
$284$	−12.0978			−0.717875
$285$	0.711901	−	2.19101i	0.0421694	−	0.129784i
$286$	−68.4647			−4.04840
$287$	−4.85829	−	4.17097i	−0.286776	−	0.246205i
$288$	−21.4021			−1.26113
$289$	−0.475230	+	1.46261i	−0.0279547	+	0.0860357i
$290$	0.483693			0.0284034
$291$	−15.1733	−	11.0240i	−0.889475	−	0.646241i
$292$	10.1038	+	7.34082i	0.591278	+	0.429589i
$293$	−0.597628	+	1.83931i	−0.0349138	+	0.107454i	−0.966995	−	0.254797i	$-0.917991\pi$
$293$	−0.597628	+	1.83931i	−0.0349138	+	0.107454i	0.932081	+	0.362250i	$0.117991\pi$
$294$	1.41667	+	4.36005i	0.0826217	+	0.254283i
$295$	−1.30767	+	0.950078i	−0.0761355	+	0.0553157i
$296$	−0.723900			−0.0420758
$297$	−2.94492	+	2.13961i	−0.170882	+	0.124153i
$298$	8.54069	−	6.20517i	0.494749	−	0.359456i
$299$	−12.8160	−	9.31136i	−0.741168	−	0.538490i
$300$	−5.21391	+	16.0468i	−0.301025	+	0.926460i
$301$	8.82310			0.508555
$302$	13.6211	+	9.89631i	0.783806	+	0.569469i
$303$	5.22505	+	16.0811i	0.300171	+	0.923832i
$304$	−12.9851	+	9.43426i	−0.744749	+	0.541092i
$305$	0.386155	−	1.18846i	0.0221112	−	0.0680512i
$306$	−7.20910	−	22.1873i	−0.412117	−	1.26836i
$307$	−7.03065	−	21.6381i	−0.401261	−	1.23495i	−0.923978	−	0.382447i	$-0.875082\pi$
$307$	−7.03065	−	21.6381i	−0.401261	−	1.23495i	0.522717	−	0.852506i	$-0.324918\pi$
$308$	−2.68867	−	8.27487i	−0.153201	−	0.471504i
$309$	−0.401919	−	1.23698i	−0.0228644	−	0.0703693i
$310$	−0.511605	+	1.57456i	−0.0290572	+	0.0894289i
$311$	−1.37867	+	1.00167i	−0.0781775	+	0.0567992i	−0.626187	−	0.779673i	$-0.715386\pi$
$311$	−1.37867	+	1.00167i	−0.0781775	+	0.0567992i	0.548010	+	0.836472i	$0.315386\pi$
$312$	5.22313	+	16.0751i	0.295701	+	0.910075i
$313$	17.5086	+	12.7208i	0.989647	+	0.719021i	0.959844	−	0.280535i	$-0.0905120\pi$
$313$	17.5086	+	12.7208i	0.989647	+	0.719021i	0.0298031	+	0.999556i	$0.490512\pi$
$314$	−10.9995			−0.620736
$315$	0.278995	−	0.858658i	0.0157196	−	0.0483799i
$316$	−11.9801	−	8.70407i	−0.673935	−	0.489642i
$317$	18.0502	−	13.1143i	1.01380	−	0.736570i	0.0487990	−	0.998809i	$-0.484461\pi$
$317$	18.0502	−	13.1143i	1.01380	−	0.736570i	0.965003	+	0.262238i	$0.0844606\pi$
$318$	53.9527	−	39.1989i	3.02552	−	2.19817i
$319$	−5.96907			−0.334204
$320$	−0.553550	+	0.402178i	−0.0309444	+	0.0224824i
$321$	9.62739	+	29.6301i	0.537349	+	1.65379i
$322$	1.52804	−	4.70282i	0.0851543	−	0.262078i
$323$	−10.5050	−	7.63230i	−0.584512	−	0.424673i
$324$	9.17376	+	6.66513i	0.509653	+	0.370285i
$325$	28.9606			1.60644
$326$	−9.27210	+	28.5366i	−0.513534	+	1.58050i
$327$	9.48518			0.524532
$328$	2.83747	−	6.80087i	0.156673	−	0.375515i
$329$	−12.3598			−0.681419
$330$	−2.50846	+	7.72026i	−0.138086	+	0.424986i
$331$	−15.8486			−0.871121			−0.435560	−	0.900160i	$-0.643450\pi$
$331$	−15.8486			−0.871121			−0.435560	+	0.900160i	$0.643450\pi$
$332$	−9.01452	−	6.54943i	−0.494736	−	0.359447i
$333$	−1.64379	−	1.19428i	−0.0900790	−	0.0654462i
$334$	−7.90329	+	24.3238i	−0.432449	+	1.33094i
$335$	0.0565058	+	0.173907i	0.00308724	+	0.00950155i
$336$	−9.81512	+	7.13110i	−0.535459	+	0.389034i
$337$	16.9305			0.922261			0.461131	−	0.887332i	$-0.347444\pi$
$337$	16.9305			0.922261			0.461131	+	0.887332i	$0.347444\pi$
$338$	−32.1284	+	23.3427i	−1.74756	+	1.26967i
$339$	4.26257	−	3.09694i	0.231511	−	0.168202i
$340$	−1.22117	−	0.887230i	−0.0662271	−	0.0481168i
$341$	6.31353	−	19.4310i	0.341897	−	1.05225i
$342$	−19.5914			−1.05938
$343$	0.809017	+	0.587785i	0.0436828	+	0.0317374i
$344$	3.13779	+	9.65713i	0.169178	+	0.520678i
$345$	−1.51954	+	1.10401i	−0.0818090	+	0.0594377i
$346$	4.02658	−	12.3925i	0.216470	−	0.666227i
$347$	5.73115	+	17.6387i	0.307664	+	0.946894i	0.978669	+	0.205441i	$0.0658629\pi$
$347$	5.73115	+	17.6387i	0.307664	+	0.946894i	−0.671005	+	0.741453i	$0.734137\pi$
$348$	−0.998122	−	3.07190i	−0.0535049	−	0.164671i
$349$	4.52748	+	13.9341i	0.242350	+	0.745878i	0.996061	+	0.0886712i	$0.0282620\pi$
$349$	4.52748	+	13.9341i	0.242350	+	0.745878i	−0.753711	+	0.657206i	$0.771738\pi$
$350$	2.79349	+	8.59749i	0.149318	+	0.459555i
$351$	−1.04477	+	3.21546i	−0.0557655	+	0.171629i
$352$	33.9578	−	24.6718i	1.80996	−	1.31501i
$353$	3.64390	+	11.2148i	0.193945	+	0.596902i	0.999987	+	0.00504348i	$0.00160540\pi$
$353$	3.64390	+	11.2148i	0.193945	+	0.596902i	−0.806042	+	0.591858i	$0.798395\pi$
$354$	21.4486	+	15.5833i	1.13998	+	0.828245i
$355$	2.46203			0.130671
$356$	−2.28170	+	7.02237i	−0.120930	+	0.372185i
$357$	−7.94042	−	5.76905i	−0.420251	−	0.305331i
$358$	−18.1345	+	13.1755i	−0.958437	+	0.696345i
$359$	−30.0320	+	21.8195i	−1.58503	+	1.15159i	−0.674401	+	0.738365i	$0.735598\pi$
$359$	−30.0320	+	21.8195i	−1.58503	+	1.15159i	−0.910628	+	0.413226i	$0.864402\pi$
$360$	1.03904			0.0547625
$361$	6.54942	−	4.75844i	0.344707	−	0.250444i
$362$	−4.17472	−	12.8485i	−0.219418	−	0.675300i
$363$	22.4715	−	69.1602i	1.17945	−	3.62997i
$364$	−6.53782	−	4.75001i	−0.342675	−	0.248968i
$365$	−2.05622	−	1.49393i	−0.107627	−	0.0781958i
$366$	−20.4965			−1.07137
$367$	−7.75726	+	23.8744i	−0.404926	+	1.24623i	0.516032	+	0.856569i	$0.327409\pi$
$367$	−7.75726	+	23.8744i	−0.404926	+	1.24623i	−0.920957	+	0.389663i	$0.872591\pi$
$368$	13.0859			0.682152
$369$	17.6631	−	10.7618i	0.919507	−	0.560236i
$370$	−0.322906			−0.0167871
$371$	4.49524	−	13.8349i	0.233381	−	0.718273i
$372$	11.0556			0.573209
$373$	18.5342	+	13.4659i	0.959665	+	0.697238i	0.953073	−	0.302741i	$-0.0979016\pi$
$373$	18.5342	+	13.4659i	0.959665	+	0.697238i	0.00659235	+	0.999978i	$0.497902\pi$
$374$	37.0154	+	26.8933i	1.91402	+	1.39062i
$375$	2.13900	−	6.58318i	0.110458	−	0.339954i
$376$	−4.39557	−	13.5282i	−0.226684	−	0.697662i
$377$	−4.48524	+	3.25871i	−0.231001	+	0.167832i
$378$	−1.05535			−0.0542811
$379$	−8.42377	+	6.12023i	−0.432700	+	0.314375i	−0.782728	−	0.622364i	$-0.786172\pi$
$379$	−8.42377	+	6.12023i	−0.432700	+	0.314375i	0.350028	+	0.936739i	$0.386172\pi$
$380$	−1.02552	+	0.745082i	−0.0526079	+	0.0382219i
$381$	−16.8304	−	12.2280i	−0.862246	−	0.626459i
$382$	10.7228	−	33.0014i	0.548626	−	1.68850i
$383$	10.4125			0.532054			0.266027	−	0.963966i	$-0.414289\pi$
$383$	10.4125			0.532054			0.266027	+	0.963966i	$0.414289\pi$
$384$	−17.6793	−	12.8447i	−0.902191	−	0.655480i
$385$	0.547170	+	1.68402i	0.0278864	+	0.0858254i
$386$	2.43605	−	1.76990i	0.123992	−	0.0900853i
$387$	−8.80711	+	27.1055i	−0.447690	+	1.37785i
$388$	3.18899	+	9.81469i	0.161896	+	0.498265i
$389$	0.833954	+	2.56664i	0.0422831	+	0.130134i	0.969970	−	0.243226i	$-0.0782056\pi$
$389$	0.833954	+	2.56664i	0.0422831	+	0.130134i	−0.927687	+	0.373360i	$0.878206\pi$
$390$	2.32985	+	7.17055i	0.117977	+	0.363095i
$391$	3.27141	+	10.0684i	0.165442	+	0.509179i
$392$	−0.355634	+	1.09453i	−0.0179622	+	0.0552820i
$393$	−35.0075	+	25.4345i	−1.76590	+	1.28300i
$394$	4.61752	+	14.2113i	0.232627	+	0.715953i
$395$	2.43807	+	1.77136i	0.122673	+	0.0891269i
$396$	28.1051			1.41233
$397$	−1.23350	+	3.79631i	−0.0619074	+	0.190531i	−0.977227	−	0.212197i	$-0.931938\pi$
$397$	−1.23350	+	3.79631i	−0.0619074	+	0.190531i	0.915320	+	0.402728i	$0.131938\pi$
$398$	12.5375	+	9.10900i	0.628446	+	0.456593i
$399$	−6.66824	+	4.84476i	−0.333829	+	0.242541i
$400$	−19.3542	+	14.0617i	−0.967711	+	0.703083i
$401$	−4.52961			−0.226198			−0.113099	−	0.993584i	$-0.536078\pi$
$401$	−4.52961			−0.226198			−0.113099	+	0.993584i	$0.536078\pi$
$402$	2.42644	−	1.76291i	0.121020	−	0.0879260i
$403$	−5.86399	−	18.0475i	−0.292106	−	0.899010i
$404$	2.87500	−	8.84835i	0.143037	−	0.440222i
$405$	−1.86695	−	1.35642i	−0.0927695	−	0.0674010i
$406$	−1.40005	−	1.01719i	−0.0694832	−	0.0504825i
$407$	3.98487			0.197523
$408$	3.49051	−	10.7427i	0.172806	−	0.531842i
$409$	6.96527			0.344410			0.172205	−	0.985061i	$-0.444911\pi$
$409$	6.96527			0.344410			0.172205	+	0.985061i	$0.444911\pi$
$410$	1.26570	−	3.03363i	0.0625083	−	0.149820i
$411$	7.34431			0.362268
$412$	−0.221150	+	0.680629i	−0.0108953	+	0.0335322i
$413$	5.78304			0.284565
$414$	12.9223	+	9.38859i	0.635096	+	0.461424i
$415$	1.83454	+	1.33287i	0.0900542	+	0.0654282i
$416$	12.0472	−	37.0774i	0.590661	−	1.81787i
$417$	−11.9670	−	36.8307i	−0.586028	−	1.80361i
$418$	31.0849	−	22.5845i	1.52041	−	1.10465i
$419$	−28.7628			−1.40516			−0.702578	−	0.711607i	$-0.747968\pi$
$419$	−28.7628			−1.40516			−0.702578	+	0.711607i	$0.747968\pi$
$420$	−0.775161	+	0.563187i	−0.0378240	+	0.0274807i
$421$	−21.4777	+	15.6044i	−1.04676	+	0.760514i	−0.971593	−	0.236657i	$-0.923948\pi$
$421$	−21.4777	+	15.6044i	−1.04676	+	0.760514i	−0.0751642	+	0.997171i	$0.523948\pi$
$422$	17.8559	+	12.9731i	0.869211	+	0.631519i
$423$	12.3374	−	37.9706i	0.599865	−	1.84620i
$424$	16.7414			0.813032
$425$	−15.6575	−	11.3759i	−0.759502	−	0.551810i
$426$	−12.4789	−	38.4062i	−0.604606	−	1.86078i
$427$	−3.61703	+	2.62793i	−0.175041	+	0.127174i
$428$	5.29732	−	16.3035i	0.256056	−	0.788059i
$429$	−28.7519	−	88.4891i	−1.38815	−	4.27229i
$430$	1.39966	+	4.30771i	0.0674975	+	0.207736i
$431$	6.08514	+	18.7281i	0.293111	+	0.902103i	0.983849	+	0.178998i	$0.0572856\pi$
$431$	6.08514	+	18.7281i	0.293111	+	0.902103i	−0.690739	+	0.723105i	$0.742714\pi$
$432$	−0.863038	−	2.65616i	−0.0415229	−	0.127794i
$433$	−3.13684	+	9.65420i	−0.150747	+	0.463951i	−0.997705	−	0.0677082i	$-0.978431\pi$
$433$	−3.13684	+	9.65420i	−0.150747	+	0.463951i	0.846958	+	0.531659i	$0.178431\pi$
$434$	4.79210	−	3.48167i	0.230028	−	0.167125i
$435$	0.203127	+	0.625162i	0.00973922	+	0.0299742i
$436$	−4.22232	−	3.06770i	−0.202212	−	0.146916i
$437$	8.89038			0.425284
$438$	−12.8823	+	39.6477i	−0.615542	+	1.89444i
$439$	31.7124	+	23.0404i	1.51355	+	1.09966i	0.964572	+	0.263819i	$0.0849822\pi$
$439$	31.7124	+	23.0404i	1.51355	+	1.09966i	0.548976	+	0.835838i	$0.315018\pi$
$440$	−1.64861	+	1.19779i	−0.0785944	+	0.0571022i
$441$	−2.61329	+	1.89867i	−0.124442	+	0.0904126i
$442$	42.4958			2.02132
$443$	21.5443	−	15.6529i	1.02360	−	0.743690i	0.0565829	−	0.998398i	$-0.481979\pi$
$443$	21.5443	−	15.6529i	1.02360	−	0.743690i	0.967018	+	0.254708i	$0.0819795\pi$
$444$	0.666332	+	2.05076i	0.0316227	+	0.0973247i
$445$	0.464349	−	1.42912i	0.0220123	−	0.0677468i
$446$	−15.8681	−	11.5288i	−0.751375	−	0.545906i
$447$	11.6067	+	8.43278i	0.548979	+	0.398857i
$448$	2.44802			0.115658
$449$	10.5350	−	32.4234i	0.497177	−	1.53015i	−0.316359	−	0.948640i	$-0.602460\pi$
$449$	10.5350	−	32.4234i	0.497177	−	1.53015i	0.813536	−	0.581514i	$-0.197540\pi$
$450$	−29.2008			−1.37654
$451$	−15.6195	+	37.4369i	−0.735493	+	1.76284i
$452$	−2.89909			−0.136362
$453$	−7.07056	+	21.7609i	−0.332204	+	1.02242i
$454$	−41.9181			−1.96731
$455$	1.33051	+	0.966673i	0.0623753	+	0.0453183i
$456$	−7.67417	−	5.57561i	−0.359376	−	0.261102i
$457$	7.70144	−	23.7026i	0.360258	−	1.10876i	−0.592640	−	0.805468i	$-0.701914\pi$
$457$	7.70144	−	23.7026i	0.360258	−	1.10876i	0.952898	−	0.303292i	$-0.0980859\pi$
$458$	−5.40225	−	16.6264i	−0.252430	−	0.776901i
$459$	1.82790	−	1.32805i	0.0853191	−	0.0619880i
$460$	1.03348			0.0481861
$461$	11.9380	−	8.67349i	0.556010	−	0.403965i	−0.273987	−	0.961733i	$-0.588342\pi$
$461$	11.9380	−	8.67349i	0.556010	−	0.403965i	0.829996	+	0.557769i	$0.188342\pi$
$462$	23.4963	−	17.0710i	1.09315	−	0.794216i
$463$	−8.23170	−	5.98068i	−0.382559	−	0.277946i	0.379840	−	0.925052i	$-0.375979\pi$
$463$	−8.23170	−	5.98068i	−0.382559	−	0.277946i	−0.762400	+	0.647106i	$0.775979\pi$
$464$	1.41521	−	4.35556i	0.0656994	−	0.202202i
$465$	−2.24993			−0.104338
$466$	29.4742	+	21.4143i	1.36537	+	0.991996i
$467$	7.30824	+	22.4925i	0.338185	+	1.04083i	0.965132	+	0.261765i	$0.0843045\pi$
$467$	7.30824	+	22.4925i	0.338185	+	1.04083i	−0.626946	+	0.779062i	$0.715696\pi$
$468$	21.1185	−	15.3435i	0.976203	−	0.709253i
$469$	0.202166	−	0.622204i	0.00933517	−	0.0287307i
$470$	−1.96071	−	6.03444i	−0.0904407	−	0.278348i
$471$	−4.61925	−	14.2166i	−0.212844	−	0.655065i
$472$	2.05664	+	6.32970i	0.0946647	+	0.291348i
$473$	−17.2727	−	53.1598i	−0.794198	−	2.44429i
$474$	15.2747	−	47.0107i	0.701590	−	2.15927i
$475$	−13.1489	+	9.55327i	−0.603315	+	0.438334i
$476$	1.66884	+	5.13618i	0.0764914	+	0.235416i
$477$	38.0152	+	27.6197i	1.74060	+	1.26462i
$478$	24.2238			1.10797
$479$	−3.54642	+	10.9148i	−0.162040	+	0.498709i	−0.998806	−	0.0488524i	$-0.984444\pi$
$479$	−3.54642	+	10.9148i	−0.162040	+	0.498709i	0.836766	+	0.547561i	$0.184444\pi$
$480$	−3.73955	−	2.71694i	−0.170686	−	0.124011i
$481$	2.99428	−	2.17547i	0.136527	−	0.0991930i
$482$	−1.86915	+	1.35802i	−0.0851377	+	0.0618561i
$483$	6.72000			0.305770
$484$	−32.3710	+	23.5189i	−1.47141	+	1.06904i
$485$	−0.648990	−	1.99739i	−0.0294691	−	0.0906966i
$486$	−12.6749	+	39.0094i	−0.574946	+	1.76950i
$487$	3.29413	+	2.39333i	0.149271	+	0.108452i	0.659914	−	0.751341i	$-0.270593\pi$
$487$	3.29413	+	2.39333i	0.149271	+	0.108452i	−0.510643	+	0.859793i	$0.670593\pi$
$488$	−4.16268	−	3.02437i	−0.188436	−	0.136907i
$489$	−40.7767			−1.84399
$490$	−0.158636	+	0.488230i	−0.00716643	+	0.0220560i
$491$	29.8995			1.34935			0.674674	−	0.738116i	$-0.264284\pi$
$491$	29.8995			1.34935			0.674674	+	0.738116i	$0.264284\pi$
$492$	−21.8782	−	1.77832i	−0.986346	−	0.0801730i
$493$	3.70498			0.166864
$494$	11.0280	−	33.9406i	0.496172	−	1.52706i
$495$	−5.71965			−0.257079
$496$	12.6817	+	9.21382i	0.569427	+	0.413713i
$497$	−7.12634	−	5.17759i	−0.319660	−	0.232247i
$498$	11.4935	−	35.3735i	0.515038	−	1.58512i
$499$	−2.38049	−	7.32639i	−0.106565	−	0.327974i	0.883529	−	0.468376i	$-0.155161\pi$
$499$	−2.38049	−	7.32639i	−0.106565	−	0.327974i	−0.990095	+	0.140401i	$0.955161\pi$
$500$	−3.08131	+	2.23870i	−0.137800	+	0.100118i
$501$	−34.7570			−1.55283
$502$	−8.43937	+	6.13156i	−0.376667	+	0.273665i
$503$	18.3624	−	13.3410i	0.818738	−	0.594848i	−0.0976129	−	0.995224i	$-0.531121\pi$
$503$	18.3624	−	13.3410i	0.818738	−	0.594848i	0.916351	+	0.400377i	$0.131121\pi$
$504$	−3.00752	−	2.18509i	−0.133965	−	0.0973315i
$505$	−0.585091	+	1.80073i	−0.0260362	+	0.0801312i
$506$	−31.3262			−1.39262
$507$	−43.6623	−	31.7225i	−1.93911	−	1.40885i
$508$	3.53726	+	10.8866i	0.156940	+	0.483013i
$509$	5.22930	−	3.79931i	0.231784	−	0.168401i	−0.465831	−	0.884874i	$-0.654244\pi$
$509$	5.22930	−	3.79931i	0.231784	−	0.168401i	0.697615	+	0.716472i	$0.254244\pi$
$510$	1.55699	−	4.79193i	0.0689448	−	0.212190i
$511$	2.81002	+	8.64835i	0.124308	+	0.382580i
$512$	6.49450	+	19.9880i	0.287019	+	0.883354i
$513$	−0.586334	−	1.80455i	−0.0258873	−	0.0796729i
$514$	−14.1124	−	43.4335i	−0.622471	−	1.91577i
$515$	0.0450061	−	0.138515i	0.00198321	−	0.00610368i
$516$	24.4697	−	17.7783i	1.07722	−	0.782646i
$517$	24.1964	+	74.4687i	1.06415	+	3.27513i
$518$	0.934652	+	0.679065i	0.0410663	+	0.0298364i
$519$	17.7081			0.777297
$520$	−0.584876	+	1.80006i	−0.0256485	+	0.0789380i
$521$	19.2067	+	13.9545i	0.841459	+	0.611356i	0.922778	−	0.385332i	$-0.125913\pi$
$521$	19.2067	+	13.9545i	0.841459	+	0.611356i	−0.0813188	+	0.996688i	$0.525913\pi$
$522$	4.52244	−	3.28574i	0.197942	−	0.143813i
$523$	23.2465	−	16.8895i	1.01650	−	0.738528i	0.0509348	−	0.998702i	$-0.483780\pi$
$523$	23.2465	−	16.8895i	1.01650	−	0.738528i	0.965562	+	0.260174i	$0.0837799\pi$
$524$	23.8096			1.04013
$525$	−9.93893	+	7.22106i	−0.433770	+	0.315153i
$526$	5.69434	+	17.5254i	0.248285	+	0.764142i
$527$	−3.91878	+	12.0608i	−0.170705	+	0.525375i
$528$	62.1801	+	45.1765i	2.70604	+	1.96605i
$529$	12.7434	+	9.25862i	0.554061	+	0.402549i
$530$	7.46773			0.324378
$531$	−5.77256	+	17.7661i	−0.250508	+	0.770983i
$532$	4.53525			0.196628
$533$	8.70138	+	36.6578i	0.376898	+	1.58782i
$534$	−24.6470			−1.06658
$535$	−1.07806	+	3.31792i	−0.0466085	+	0.143446i
$536$	0.752917			0.0325211
$537$	−24.6446	−	17.9054i	−1.06349	−	0.772673i
$538$	−25.4722	−	18.5066i	−1.09818	−	0.797877i
$539$	1.95766	−	6.02507i	0.0843226	−	0.259518i
$540$	−0.0681595	−	0.209773i	−0.00293312	−	0.00902720i
$541$	−36.9500	+	26.8458i	−1.58861	+	1.15419i	−0.682709	+	0.730691i	$0.739198\pi$
$541$	−36.9500	+	26.8458i	−1.58861	+	1.15419i	−0.905897	+	0.423499i	$0.860802\pi$
$542$	9.66573			0.415179
$543$	14.8532	−	10.7915i	0.637410	−	0.463106i
$544$	−21.0775	+	15.3137i	−0.903689	+	0.656568i
$545$	0.859283	+	0.624306i	0.0368077	+	0.0267423i
$546$	8.33574	−	25.6548i	0.356737	−	1.09792i
$547$	−43.7661			−1.87130			−0.935652	−	0.352924i	$-0.885188\pi$
$547$	−43.7661			−1.87130			−0.935652	+	0.352924i	$0.885188\pi$
$548$	−3.26931	−	2.37529i	−0.139658	−	0.101468i
$549$	−4.46280	−	13.7351i	−0.190468	−	0.586199i
$550$	46.3317	−	33.6620i	1.97559	−	1.43535i
$551$	0.961470	−	2.95910i	0.0409600	−	0.126062i
$552$	2.38986	+	7.35522i	0.101719	+	0.313059i
$553$	−3.33186	−	10.2544i	−0.141685	−	0.436062i
$554$	4.44307	+	13.6744i	0.188768	+	0.580968i
$555$	−0.135605	−	0.417349i	−0.00575611	−	0.0177155i
$556$	−6.58468	+	20.2656i	−0.279252	+	0.859451i
$557$	−32.2715	+	23.4466i	−1.36739	+	0.993465i	−0.369451	+	0.929250i	$0.620454\pi$
$557$	−32.2715	+	23.4466i	−1.36739	+	0.993465i	−0.997936	+	0.0642149i	$0.979546\pi$
$558$	5.91263	+	18.1972i	0.250301	+	0.770349i
$559$	−42.0006	−	30.5152i	−1.77644	−	1.29066i
$560$	−1.35854			−0.0574086
$561$	−19.2143	+	59.1354i	−0.811227	+	2.49670i
$562$	4.17166	+	3.03089i	0.175971	+	0.127850i
$563$	−8.05109	+	5.84946i	−0.339313	+	0.246525i	−0.744372	−	0.667765i	$-0.767251\pi$
$563$	−8.05109	+	5.84946i	−0.339313	+	0.246525i	0.405059	+	0.914291i	$0.367251\pi$
$564$	−34.2783	+	24.9047i	−1.44338	+	1.04868i
$565$	0.589993			0.0248212
$566$	3.81634	−	2.77274i	0.160413	−	0.116547i
$567$	2.55137	+	7.85230i	0.107147	+	0.329766i
$568$	3.13265	−	9.64131i	0.131443	−	0.404540i
$569$	−15.8044	−	11.4825i	−0.662553	−	0.481373i	0.204971	−	0.978768i	$-0.434290\pi$
$569$	−15.8044	−	11.4825i	−0.662553	−	0.481373i	−0.867524	+	0.497395i	$0.834290\pi$
$570$	−3.42318	−	2.48708i	−0.143381	−	0.104172i
$571$	−13.1040			−0.548386			−0.274193	−	0.961675i	$-0.588411\pi$
$571$	−13.1040			−0.548386			−0.274193	+	0.961675i	$0.588411\pi$
$572$	−15.8203	+	48.6898i	−0.661478	+	2.03582i
$573$	47.1566			1.97000
$574$	−10.0432	+	6.11911i	−0.419196	+	0.255407i
$575$	13.2510			0.552605
$576$	−2.44358	+	7.52058i	−0.101816	+	0.313358i
$577$	−3.59276			−0.149569			−0.0747843	−	0.997200i	$-0.523827\pi$
$577$	−3.59276			−0.149569			−0.0747843	+	0.997200i	$0.523827\pi$
$578$	2.28514	+	1.66025i	0.0950493	+	0.0690574i
$579$	3.31057	+	2.40527i	0.137583	+	0.0999597i
$580$	0.111768	−	0.343986i	0.00464090	−	0.0142832i
$581$	−2.50708	−	7.71600i	−0.104011	−	0.320114i
$582$	−27.8686	+	20.2477i	−1.15519	+	0.839294i
$583$	−92.1565			−3.81673
$584$	−8.46652	+	6.15129i	−0.350347	+	0.254542i
$585$	−4.29782	+	3.12255i	−0.177693	+	0.129101i
$586$	2.87369	+	2.08786i	0.118711	+	0.0862487i
$587$	1.35531	−	4.17123i	0.0559398	−	0.172165i	−0.919183	−	0.393831i	$-0.871150\pi$
$587$	1.35531	−	4.17123i	0.0559398	−	0.172165i	0.975123	+	0.221666i	$0.0711495\pi$
$588$	3.42807			0.141371
$589$	8.61577	+	6.25972i	0.355007	+	0.257927i
$590$	0.917396	+	2.82346i	0.0377686	+	0.116240i
$591$	−16.4286	+	11.9361i	−0.675783	+	0.490985i
$592$	−0.944773	+	2.90771i	−0.0388299	+	0.119506i
$593$	6.88399	+	21.1867i	0.282692	+	0.870035i	0.987081	+	0.160221i	$0.0512208\pi$
$593$	6.88399	+	21.1867i	0.282692	+	0.870035i	−0.704390	+	0.709814i	$0.748779\pi$
$594$	2.06601	+	6.35853i	0.0847695	+	0.260894i
$595$	−0.339626	−	1.04526i	−0.0139233	−	0.0428516i
$596$	−2.43940	−	7.50769i	−0.0999216	−	0.307527i
$597$	−6.50806	+	20.0297i	−0.266357	+	0.819762i
$598$	−23.5389	+	17.1020i	−0.962578	+	0.699354i
$599$	−12.0367	−	37.0453i	−0.491808	−	1.51363i	−0.821873	−	0.569671i	$-0.807070\pi$
$599$	−12.0367	−	37.0453i	−0.491808	−	1.51363i	0.330064	−	0.943958i	$-0.392930\pi$
$600$	−11.4383	−	8.31039i	−0.466965	−	0.339270i
$601$	−33.8257			−1.37978			−0.689890	−	0.723914i	$-0.742341\pi$
$601$	−33.8257			−1.37978			−0.689890	+	0.723914i	$0.742341\pi$
$602$	5.00770	−	15.4121i	0.204098	−	0.628150i
$603$	1.70968	+	1.24215i	0.0696234	+	0.0505844i
$604$	10.1854	−	7.40011i	0.414437	−	0.301106i
$605$	6.58780	−	4.78632i	0.267832	−	0.194592i
$606$	31.0558			1.26155
$607$	−22.4992	+	16.3466i	−0.913212	+	0.663488i	−0.941825	−	0.336103i	$-0.890891\pi$
$607$	−22.4992	+	16.3466i	−0.913212	+	0.663488i	0.0286129	+	0.999591i	$0.490891\pi$
$608$	6.76100	+	20.8082i	0.274195	+	0.843884i
$609$	0.726749	−	2.23670i	0.0294494	−	0.0906358i
$610$	−1.85683	−	1.34906i	−0.0751807	−	0.0546220i
$611$	58.8364	+	42.7472i	2.38027	+	1.72936i
$612$	−17.4447			−0.705160
$613$	−10.4180	+	32.0633i	−0.420779	+	1.29502i	0.486200	+	0.873847i	$0.338383\pi$
$613$	−10.4180	+	32.0633i	−0.420779	+	1.29502i	−0.906979	+	0.421176i	$0.861617\pi$
$614$	−41.7876			−1.68641
$615$	4.45243	+	0.361906i	0.179539	+	0.0145935i
$616$	7.29082			0.293755
$617$	2.75876	−	8.49060i	0.111064	−	0.341819i	−0.880042	−	0.474896i	$-0.842486\pi$
$617$	2.75876	−	8.49060i	0.111064	−	0.341819i	0.991106	+	0.133077i	$0.0424858\pi$
$618$	−2.38886			−0.0960939
$619$	−20.2856	−	14.7384i	−0.815349	−	0.592386i	0.100027	−	0.994985i	$-0.468107\pi$
$619$	−20.2856	−	14.7384i	−0.815349	−	0.592386i	−0.915376	+	0.402599i	$0.868107\pi$
$620$	1.00156	+	0.727673i	0.0402234	+	0.0292240i
$621$	−0.478036	+	1.47124i	−0.0191829	+	0.0590390i
$622$	0.967210	+	2.97677i	0.0387816	+	0.119357i
$623$	−4.34946	+	3.16007i	−0.174258	+	0.126606i
$624$	71.3863			2.85774
$625$	−19.2823	+	14.0094i	−0.771294	+	0.560378i
$626$	32.1578	−	23.3640i	1.28529	−	0.933814i
$627$	42.2442	+	30.6922i	1.68707	+	1.22573i
$628$	−2.54167	+	7.82245i	−0.101424	+	0.312150i
$629$	−2.47339			−0.0986205
$630$	−1.34155	−	0.974691i	−0.0534485	−	0.0388326i
$631$	−0.00209118	−	0.00643600i	−8.32487e−5	−	0.000256213i	0.951015	−	0.309145i	$-0.100043\pi$
$631$	−0.00209118	−	0.00643600i	−8.32487e−5	−	0.000256213i	−0.951098	+	0.308889i	$0.900043\pi$
$632$	10.0388	−	7.29363i	0.399323	−	0.290125i
$633$	−9.26879	+	28.5264i	−0.368401	+	1.13382i
$634$	−12.6632	−	38.9732i	−0.502918	−	1.54782i
$635$	−0.719866	−	2.21552i	−0.0285670	−	0.0879202i
$636$	−15.4100	−	47.4271i	−0.611046	−	1.88061i
$637$	−1.81827	−	5.59607i	−0.0720426	−	0.221724i
$638$	−3.38784	+	10.4267i	−0.134126	+	0.412798i
$639$	23.0195	−	16.7247i	0.910639	−	0.661618i
$640$	−0.756175	−	2.32727i	−0.0298904	−	0.0919933i
$641$	22.1704	+	16.1078i	0.875680	+	0.636219i	0.932105	−	0.362188i	$-0.117970\pi$
$641$	22.1704	+	16.1078i	0.875680	+	0.636219i	−0.0564251	+	0.998407i	$0.517970\pi$
$642$	57.2217			2.25836
$643$	8.50658	−	26.1805i	0.335467	−	1.03246i	−0.631025	−	0.775762i	$-0.717366\pi$
$643$	8.50658	−	26.1805i	0.335467	−	1.03246i	0.966492	−	0.256698i	$-0.0826344\pi$
$644$	−2.99140	−	2.17338i	−0.117878	−	0.0856431i
$645$	−4.97983	+	3.61806i	−0.196080	+	0.142461i
$646$	−19.2943	+	14.0181i	−0.759124	+	0.551536i
$647$	32.8056			1.28972			0.644861	−	0.764300i	$-0.276915\pi$
$647$	32.8056			1.28972			0.644861	+	0.764300i	$0.276915\pi$
$648$	−7.68721	+	5.58509i	−0.301982	+	0.219403i
$649$	−11.3212	−	34.8432i	−0.444398	−	1.36772i
$650$	16.4371	−	50.5881i	0.644715	−	1.98423i
$651$	6.51243	+	4.73156i	0.255242	+	0.185444i
$652$	18.1517	+	13.1880i	0.710877	+	0.516482i
$653$	1.00686			0.0394013			0.0197007	−	0.999806i	$-0.493729\pi$
$653$	1.00686			0.0394013			0.0197007	+	0.999806i	$0.493729\pi$
$654$	5.38347	−	16.5686i	0.210510	−	0.647884i
$655$	−4.84548			−0.189329
$656$	−23.6141	−	20.2733i	−0.921974	−	0.791539i
$657$	−29.3736			−1.14597
$658$	−7.01501	+	21.5900i	−0.273474	+	0.841666i
$659$	−8.14174			−0.317157			−0.158579	−	0.987346i	$-0.550691\pi$
$659$	−8.14174			−0.317157			−0.158579	+	0.987346i	$0.550691\pi$
$660$	4.91075	+	3.56787i	0.191151	+	0.138879i
$661$	24.4716	+	17.7797i	0.951837	+	0.691550i	0.951241	−	0.308450i	$-0.0998103\pi$
$661$	24.4716	+	17.7797i	0.951837	+	0.691550i	0.000596088		1.00000i	$0.499810\pi$
$662$	−8.99516	+	27.6843i	−0.349607	+	1.07598i
$663$	17.8462	+	54.9248i	0.693087	+	2.13310i
$664$	7.55378	−	5.48814i	0.293143	−	0.212981i
$665$	−0.922967			−0.0357911
$666$	−3.01912	+	2.19352i	−0.116988	+	0.0849970i
$667$	−2.05223	+	1.49103i	−0.0794628	+	0.0577331i
$668$	15.4721	+	11.2411i	0.598632	+	0.434931i
$669$	8.23693	−	25.3507i	0.318458	−	0.980113i
$670$	0.335850			0.0129750
$671$	22.9144	+	16.6483i	0.884601	+	0.642700i
$672$	5.11046	+	15.7284i	0.197140	+	0.606735i
$673$	37.5091	−	27.2519i	1.44587	−	1.05049i	0.459094	−	0.888387i	$-0.348174\pi$
$673$	37.5091	−	27.2519i	1.44587	−	1.05049i	0.986775	−	0.162098i	$-0.0518260\pi$
$674$	9.60917	−	29.5740i	0.370131	−	1.13915i
$675$	−0.873924	−	2.68966i	−0.0336374	−	0.103525i
$676$	9.17654	+	28.2425i	0.352944	+	1.08625i
$677$	−10.2708	−	31.6104i	−0.394741	−	1.21489i	−0.929163	−	0.369670i	$-0.879471\pi$
$677$	−10.2708	−	31.6104i	−0.394741	−	1.21489i	0.534423	−	0.845217i	$-0.320529\pi$
$678$	−2.99041	−	9.20352i	−0.114846	−	0.353459i
$679$	−2.32195	+	7.14624i	−0.0891084	+	0.274248i
$680$	1.02329	−	0.743461i	0.0392412	−	0.0285104i
$681$	−17.6036	−	54.1782i	−0.674570	−	2.07611i
$682$	−30.3586	−	22.0568i	−1.16249	−	0.844599i
$683$	−6.82053			−0.260980			−0.130490	−	0.991450i	$-0.541655\pi$
$683$	−6.82053			−0.260980			−0.130490	+	0.991450i	$0.541655\pi$
$684$	−4.52703	+	13.9328i	−0.173095	+	0.532732i
$685$	0.665337	+	0.483395i	0.0254212	+	0.0184696i
$686$	1.48591	−	1.07958i	0.0567322	−	0.0412184i
$687$	19.2206	−	13.9646i	0.733311	−	0.532781i
$688$	42.8853			1.63499
$689$	−69.2476	+	50.3113i	−2.63812	+	1.91671i
$690$	1.06603	+	3.28091i	0.0405831	+	0.124902i
$691$	4.11706	−	12.6710i	0.156620	−	0.482028i	−0.841701	−	0.539944i	$-0.818445\pi$
$691$	4.11706	−	12.6710i	0.156620	−	0.482028i	0.998321	+	0.0579156i	$0.0184454\pi$
$692$	−7.88272	−	5.72713i	−0.299656	−	0.217713i
$693$	16.5555	+	12.0283i	0.628893	+	0.456917i
$694$	34.0639			1.29305
$695$	1.34005	−	4.12424i	0.0508308	−	0.156441i
$696$	2.70659			0.102593
$697$	9.69495	−	23.2369i	0.367222	−	0.880162i
$698$	26.9097			1.01855
$699$	−15.2997	+	47.0877i	−0.578688	+	1.78102i
$700$	6.75974			0.255494
$701$	−23.1269	−	16.8027i	−0.873491	−	0.634628i	0.0580306	−	0.998315i	$-0.481518\pi$
$701$	−23.1269	−	16.8027i	−0.873491	−	0.634628i	−0.931521	+	0.363687i	$0.881518\pi$
$702$	5.02376	+	3.64998i	0.189610	+	0.137760i
$703$	−0.641863	+	1.97545i	−0.0242083	+	0.0745056i
$704$	−4.79240	−	14.7495i	−0.180621	−	0.555893i
$705$	6.97597	−	5.06834i	0.262730	−	0.190885i
$706$	21.6580			0.815109
$707$	5.48043	−	3.98177i	0.206113	−	0.149750i
$708$	16.0385	−	11.6527i	0.602764	−	0.437934i
$709$	11.5466	+	8.38911i	0.433643	+	0.315060i	0.783104	−	0.621891i	$-0.213635\pi$
$709$	11.5466	+	8.38911i	0.433643	+	0.315060i	−0.349461	+	0.936951i	$0.613635\pi$
$710$	1.39737	−	4.30065i	0.0524422	−	0.161400i
$711$	34.8285			1.30617
$712$	−5.00560	−	3.63678i	−0.187593	−	0.136294i
$713$	−2.68308	−	8.25769i	−0.100482	−	0.309253i
$714$	−14.5840	+	10.5959i	−0.545794	+	0.396542i
$715$	3.21958	−	9.90884i	0.120405	−	0.370570i
$716$	5.17958	+	15.9411i	0.193570	+	0.595747i
$717$	10.1728	+	31.3088i	0.379912	+	1.16925i
$718$	21.0690	+	64.8437i	0.786288	+	2.41994i
$719$	−3.31733	−	10.2097i	−0.123716	−	0.380757i	0.869949	−	0.493141i	$-0.164151\pi$
$719$	−3.31733	−	10.2097i	−0.123716	−	0.380757i	−0.993665	+	0.112384i	$0.964151\pi$
$720$	1.35607	−	4.17357i	0.0505379	−	0.155540i
$721$	−0.421563	+	0.306283i	−0.0156998	+	0.0114066i
$722$	−4.59475	−	14.1412i	−0.170999	−	0.526281i
$723$	−2.54017	−	1.84554i	−0.0944698	−	0.0686363i
$724$	−10.1020			−0.375439
$725$	1.43306	−	4.41050i	0.0532225	−	0.163802i
$726$	−108.054	−	78.5060i	−4.01027	−	2.91363i
$727$	6.16987	−	4.48267i	0.228828	−	0.166253i	−0.467464	−	0.884012i	$-0.654832\pi$
$727$	6.16987	−	4.48267i	0.228828	−	0.166253i	0.696291	+	0.717759i	$0.254832\pi$
$728$	5.47841	−	3.98030i	0.203043	−	0.147520i
$729$	−30.9725			−1.14713
$730$	−3.77662	+	2.74387i	−0.139779	+	0.101555i
$731$	10.7211	+	32.9961i	0.396533	+	1.22040i
$732$	−4.73617	+	14.5764i	−0.175054	+	0.538761i
$733$	−29.3656	−	21.3354i	−1.08464	−	0.788039i	−0.106157	−	0.994349i	$-0.533854\pi$
$733$	−29.3656	−	21.3354i	−1.08464	−	0.788039i	−0.978487	+	0.206310i	$0.933854\pi$
$734$	37.3008	+	27.1006i	1.37680	+	1.00030i
$735$	−0.697646			−0.0257331
$736$	5.51222	−	16.9649i	0.203183	−	0.625333i
$737$	−4.14460			−0.152668
$738$	−8.77355	−	36.9618i	−0.322959	−	1.36058i
$739$	24.1087			0.886852			0.443426	−	0.896311i	$-0.353763\pi$
$739$	24.1087			0.886852			0.443426	+	0.896311i	$0.353763\pi$
$740$	−0.0746146	+	0.229640i	−0.00274289	+	0.00844173i
$741$	48.4987			1.78164
$742$	−21.6154	−	15.7045i	−0.793524	−	0.576529i
$743$	−31.8739	−	23.1577i	−1.16934	−	0.849574i	−0.178409	−	0.983956i	$-0.557095\pi$
$743$	−31.8739	−	23.1577i	−1.16934	−	0.849574i	−0.990930	+	0.134382i	$0.957095\pi$
$744$	−2.86278	+	8.81073i	−0.104955	+	0.323017i
$745$	0.496441	+	1.52789i	0.0181882	+	0.0559775i
$746$	34.0415	−	24.7326i	1.24635	−	0.905524i
$747$	26.2069			0.958861
$748$	27.6788	−	20.1098i	1.01204	−	0.735288i
$749$	10.0979	−	7.33658i	0.368971	−	0.268073i
$750$	−10.2854	−	7.47278i	−0.375570	−	0.272867i
$751$	−12.2434	+	37.6814i	−0.446769	+	1.37501i	0.433763	+	0.901027i	$0.357185\pi$
$751$	−12.2434	+	37.6814i	−0.446769	+	1.37501i	−0.880532	+	0.473986i	$0.842815\pi$
$752$	−60.0757			−2.19074
$753$	−11.4690	−	8.33274i	−0.417955	−	0.303662i
$754$	3.14662	+	9.68430i	0.114593	+	0.352681i
$755$	−2.07282	+	1.50599i	−0.0754377	+	0.0548087i
$756$	−0.243861	+	0.750526i	−0.00886913	+	0.0272964i
$757$	1.46467	+	4.50778i	0.0532342	+	0.163838i	0.974139	−	0.225950i	$-0.0725485\pi$
$757$	1.46467	+	4.50778i	0.0532342	+	0.163838i	−0.920905	+	0.389787i	$0.872548\pi$
$758$	5.90970	+	18.1882i	0.214650	+	0.660625i
$759$	−13.1555	−	40.4884i	−0.477514	−	1.46964i
$760$	−0.328238	−	1.01021i	−0.0119065	−	0.0366443i
$761$	6.64616	−	20.4548i	0.240923	−	0.741485i	−0.755357	−	0.655313i	$-0.772537\pi$
$761$	6.64616	−	20.4548i	0.240923	−	0.741485i	0.996280	−	0.0861715i	$-0.0274633\pi$
$762$	−30.9121	+	22.4589i	−1.11983	+	0.813601i
$763$	−1.17429	−	3.61411i	−0.0425123	−	0.130839i
$764$	−20.9917	−	15.2514i	−0.759454	−	0.551776i
$765$	3.55016			0.128356
$766$	5.90978	−	18.1884i	0.213529	−	0.657175i
$767$	−27.5290	−	20.0010i	−0.994015	−	0.722194i
$768$	−42.3580	+	30.7749i	−1.52846	+	1.11049i
$769$	−22.8155	+	16.5765i	−0.822750	+	0.597763i	−0.917499	−	0.397739i	$-0.869795\pi$
$769$	−22.8155	+	16.5765i	−0.822750	+	0.597763i	0.0947491	+	0.995501i	$0.469795\pi$
$770$	3.25218			0.117200
$771$	50.2103	−	36.4799i	1.80828	−	1.31379i
$772$	−0.695786	−	2.14141i	−0.0250419	−	0.0770710i
$773$	6.15278	−	18.9363i	0.221300	−	0.681092i	−0.777346	−	0.629073i	$-0.783435\pi$
$773$	6.15278	−	18.9363i	0.221300	−	0.681092i	0.998646	−	0.0520185i	$-0.0165655\pi$
$774$	42.3490	+	30.7683i	1.52220	+	1.10594i
$775$	12.8417	+	9.33005i	0.461288	+	0.335145i
$776$	−8.64753			−0.310428
$777$	−0.485167	+	1.49319i	−0.0174053	+	0.0535679i
$778$	4.95671			0.177707
$779$	−16.0430	−	13.7733i	−0.574801	−	0.493481i
$780$	5.63782			0.201866
$781$	−17.2444	+	53.0727i	−0.617052	+	1.89909i
$782$	19.4441			0.695318
$783$	0.437995	+	0.318222i	0.0156527	+	0.0113723i
$784$	3.93228	+	2.85697i	0.140439	+	0.102035i
$785$	0.517254	−	1.59195i	0.0184616	−	0.0568190i
$786$	24.5596	+	75.5865i	0.876010	+	2.69608i
$787$	40.5088	−	29.4314i	1.44398	−	1.04911i	0.456791	−	0.889574i	$-0.348999\pi$
$787$	40.5088	−	29.4314i	1.44398	−	1.04911i	0.987191	−	0.159541i	$-0.0510014\pi$
$788$	11.1735			0.398041
$789$	−20.2598	+	14.7196i	−0.721268	+	0.524032i
$790$	4.47797	−	3.25343i	0.159319	−	0.115752i
$791$	−1.70773	−	1.24074i	−0.0607200	−	0.0441157i
$792$	−7.27760	+	22.3982i	−0.258598	+	0.795884i
$793$	26.3070			0.934190
$794$	5.93126	+	4.30931i	0.210493	+	0.152932i
$795$	3.13609	+	9.65188i	0.111226	+	0.342317i
$796$	9.37507	−	6.81139i	0.332290	−	0.241423i
$797$	4.27869	−	13.1685i	0.151559	−	0.466451i	−0.846237	−	0.532807i	$-0.821137\pi$
$797$	4.27869	−	13.1685i	0.151559	−	0.466451i	0.997796	+	0.0663560i	$0.0211373\pi$
$798$	4.67811	+	14.3977i	0.165603	+	0.509674i
$799$	−15.0186	−	46.2224i	−0.531319	−	1.63523i
$800$	10.0772	+	31.0144i	0.356283	+	1.09652i
$801$	−5.36649	−	16.5164i	−0.189616	−	0.583577i
$802$	−2.57086	+	7.91228i	−0.0907801	+	0.279392i
$803$	46.6058	−	33.8611i	1.64468	−	1.19493i
$804$	−0.693041	−	2.13296i	−0.0244417	−	0.0752237i
$805$	0.608779	+	0.442304i	0.0214566	+	0.0155892i
$806$	−34.8534			−1.22766
$807$	13.2223	−	40.6941i	0.465447	−	1.43250i
$808$	6.30718	+	4.58243i	0.221886	+	0.161209i
$809$	−21.3251	+	15.4936i	−0.749751	+	0.544726i	−0.895750	−	0.444559i	$-0.853361\pi$
$809$	−21.3251	+	15.4936i	−0.749751	+	0.544726i	0.145998	+	0.989285i	$0.453361\pi$
$810$	−3.42900	+	2.49131i	−0.120483	+	0.0875357i
$811$	−48.5412			−1.70451			−0.852257	−	0.523124i	$-0.824767\pi$
$811$	−48.5412			−1.70451			−0.852257	+	0.523124i	$0.824767\pi$
$812$	−1.04691	+	0.760622i	−0.0367392	+	0.0266926i
$813$	4.05914	+	12.4927i	0.142360	+	0.438140i
$814$	2.26168	−	6.96073i	0.0792717	−	0.243973i
$815$	−3.69405	−	2.68389i	−0.129397	−	0.0940125i
$816$	−38.5949	−	28.0409i	−1.35109	−	0.981627i
$817$	29.1356			1.01932
$818$	3.95325	−	12.1669i	0.138222	−	0.425404i
$819$	19.0067			0.664147
$820$	−1.86495	−	1.60111i	−0.0651268	−	0.0559131i
$821$	48.7904			1.70280			0.851399	−	0.524519i	$-0.175755\pi$
$821$	48.7904			1.70280			0.851399	+	0.524519i	$0.175755\pi$
$822$	4.16838	−	12.8290i	0.145389	−	0.447461i
$823$	7.55211			0.263250			0.131625	−	0.991300i	$-0.457981\pi$
$823$	7.55211			0.263250			0.131625	+	0.991300i	$0.457981\pi$
$824$	−0.485158	−	0.352488i	−0.0169013	−	0.0122795i
$825$	62.9644	+	45.7464i	2.19214	+	1.59268i
$826$	3.28226	−	10.1018i	0.114204	−	0.351485i
$827$	9.38521	+	28.8847i	0.326356	+	1.00442i	0.970825	+	0.239789i	$0.0770784\pi$
$827$	9.38521	+	28.8847i	0.326356	+	1.00442i	−0.644469	+	0.764630i	$0.722922\pi$
$828$	9.66283	−	7.02045i	0.335806	−	0.243978i
$829$	−11.1045			−0.385675			−0.192837	−	0.981231i	$-0.561769\pi$
$829$	−11.1045			−0.385675			−0.192837	+	0.981231i	$0.561769\pi$
$830$	3.36948	−	2.44807i	0.116956	−	0.0849737i
$831$	−15.8079	+	11.4851i	−0.548372	+	0.398415i
$832$	−11.6533	−	8.46663i	−0.404006	−	0.293528i
$833$	−1.21511	+	3.73974i	−0.0421012	+	0.129574i
$834$	−71.1277			−2.46295
$835$	−3.14871	−	2.28767i	−0.108966	−	0.0791682i
$836$	−8.87849	−	27.3252i	−0.307069	−	0.945062i
$837$	−1.49918	+	1.08921i	−0.0518191	+	0.0376488i
$838$	−16.3248	+	50.2426i	−0.563931	+	1.73560i
$839$	−1.88254	−	5.79387i	−0.0649926	−	0.200027i	0.913287	−	0.407317i	$-0.133536\pi$
$839$	−1.88254	−	5.79387i	−0.0649926	−	0.200027i	−0.978279	+	0.207290i	$0.933536\pi$
$840$	−0.248106	−	0.763593i	−0.00856049	−	0.0263465i
$841$	−8.68716	−	26.7363i	−0.299557	−	0.921942i
$842$	15.0677	+	46.3735i	0.519266	+	1.59814i
$843$	−2.16546	+	6.66460i	−0.0745824	+	0.229541i
$844$	13.3520	−	9.70079i	0.459594	−	0.333915i
$845$	−1.86751	−	5.74762i	−0.0642445	−	0.197724i
$846$	−59.3244	−	43.1017i	−2.03962	−	1.48187i
$847$	−29.1339			−1.00105
$848$	21.8494	−	67.2456i	0.750312	−	2.30922i
$849$	5.18638	+	3.76812i	0.177996	+	0.129322i
$850$	−28.7579	+	20.8939i	−0.986389	+	0.716653i
$851$	1.37004	−	0.995393i	0.0469644	−	0.0341216i
$852$	−30.1967			−1.03452
$853$	12.3675	−	8.98550i	0.423454	−	0.307658i	−0.355572	−	0.934649i	$-0.615714\pi$
$853$	12.3675	−	8.98550i	0.423454	−	0.307658i	0.779026	+	0.626991i	$0.215714\pi$
$854$	2.53753	+	7.80972i	0.0868326	+	0.267243i
$855$	0.921294	−	2.83545i	0.0315076	−	0.0969704i
$856$	11.6213	+	8.44334i	0.397207	+	0.288587i
$857$	11.7967	+	8.57081i	0.402968	+	0.292773i	0.770749	−	0.637139i	$-0.219882\pi$
$857$	11.7967	+	8.57081i	0.402968	+	0.292773i	−0.367781	+	0.929912i	$0.619882\pi$
$858$	−170.890			−5.83410
$859$	−6.70818	+	20.6457i	−0.228880	+	0.704421i	0.768994	+	0.639256i	$0.220757\pi$
$859$	−6.70818	+	20.6457i	−0.228880	+	0.704421i	−0.997875	+	0.0651650i	$0.979243\pi$
$860$	3.38692			0.115493
$861$	−12.1265	−	10.4109i	−0.413269	−	0.354802i
$862$	36.1678			1.23188
$863$	8.98597	−	27.6560i	0.305886	−	0.941421i	−0.673459	−	0.739225i	$-0.735192\pi$
$863$	8.98597	−	27.6560i	0.305886	−	0.941421i	0.979345	−	0.202196i	$-0.0648078\pi$
$864$	−3.80703			−0.129518
$865$	1.60421	+	1.16553i	0.0545448	+	0.0396291i
$866$	15.0835	+	10.9588i	0.512558	+	0.372395i
$867$	−1.18619	+	3.65072i	−0.0402851	+	0.123985i
$868$	−1.36872	−	4.21250i	−0.0464575	−	0.142981i
$869$	−55.2609	+	40.1494i	−1.87460	+	1.36198i
$870$	1.20732			0.0409318
$871$	−3.11430	+	2.26267i	−0.105524	+	0.0766677i
$872$	3.53812	−	2.57060i	0.119816	−	0.0870514i
$873$	−19.6363	−	14.2666i	−0.664587	−	0.482850i
$874$	5.04588	−	15.5296i	0.170679	−	0.525297i
$875$	−2.77318			−0.0937506
$876$	25.2194	+	18.3230i	0.852084	+	0.619075i
$877$	−4.73922	−	14.5858i	−0.160032	−	0.492528i	0.838604	−	0.544742i	$-0.183372\pi$
$877$	−4.73922	−	14.5858i	−0.160032	−	0.492528i	−0.998636	+	0.0522137i	$0.983372\pi$
$878$	58.2456	−	42.3179i	1.96569	−	1.42816i
$879$	−1.49170	+	4.59099i	−0.0503139	+	0.154850i
$880$	2.65956	+	8.18528i	0.0896537	+	0.275926i
$881$	−4.33718	−	13.3485i	−0.146123	−	0.449722i	0.851030	−	0.525117i	$-0.175978\pi$
$881$	−4.33718	−	13.3485i	−0.146123	−	0.449722i	−0.997154	+	0.0753948i	$0.975978\pi$
$882$	1.83335	+	5.64248i	0.0617322	+	0.189992i
$883$	−1.24507	−	3.83194i	−0.0419000	−	0.128955i	0.927918	−	0.372783i	$-0.121597\pi$
$883$	−1.24507	−	3.83194i	−0.0419000	−	0.128955i	−0.969818	+	0.243829i	$0.921597\pi$
$884$	9.81957	−	30.2215i	0.330268	−	1.01646i
$885$	−3.26399	+	2.37143i	−0.109718	+	0.0797147i
$886$	−15.1144	−	46.5174i	−0.507779	−	1.56278i
$887$	32.9863	+	23.9659i	1.10757	+	0.804698i	0.982279	−	0.187422i	$-0.0600133\pi$
$887$	32.9863	+	23.9659i	1.10757	+	0.804698i	0.125292	+	0.992120i	$0.460013\pi$
$888$	−1.80688			−0.0606350
$889$	−2.57554	+	7.92668i	−0.0863807	+	0.265852i
$890$	−2.23282	−	1.62224i	−0.0748444	−	0.0543776i
$891$	42.3160	−	30.7443i	1.41764	−	1.02997i
$892$	−11.8656	+	8.62084i	−0.397289	+	0.288647i
$893$	−40.8145			−1.36580
$894$	21.3179	−	15.4883i	0.712977	−	0.518008i
$895$	−1.05409	−	3.24417i	−0.0352345	−	0.108441i
$896$	−2.70544	+	8.32649i	−0.0903824	+	0.278168i
$897$	−31.9892	−	23.2415i	−1.06809	−	0.776011i
$898$	−50.6575	−	36.8048i	−1.69046	−	1.22819i
$899$	−3.03868			−0.101346
$900$	−6.74749	+	20.7666i	−0.224916	+	0.692221i
$901$	57.2012			1.90565
$902$	56.5293	+	48.5319i	1.88222	+	1.61594i
$903$	22.0228			0.732873
$904$	0.750698	−	2.31041i	0.0249678	−	0.0768431i
$905$	2.05586			0.0683392
$906$	33.9988	+	24.7016i	1.12953	+	0.820654i
$907$	7.61952	+	5.53591i	0.253002	+	0.183817i	0.707056	−	0.707157i	$-0.250023\pi$
$907$	7.61952	+	5.53591i	0.253002	+	0.183817i	−0.454054	+	0.890974i	$0.650023\pi$
$908$	−9.68609	+	29.8107i	−0.321444	+	0.989303i
$909$	6.76191	+	20.8110i	0.224278	+	0.690258i
$910$	2.44373	−	1.77547i	0.0810088	−	0.0588563i
$911$	11.9672			0.396491			0.198246	−	0.980152i	$-0.436476\pi$
$911$	11.9672			0.396491			0.198246	+	0.980152i	$0.436476\pi$
$912$	−32.4114	+	23.5483i	−1.07325	+	0.779761i
$913$	−41.5814	+	30.2107i	−1.37614	+	0.999828i
$914$	−37.0324	−	26.9056i	−1.22492	−	0.889958i
$915$	0.963857	−	2.96645i	0.0318641	−	0.0980677i
$916$	−13.0724			−0.431926
$917$	14.0252	+	10.1899i	0.463154	+	0.336501i
$918$	−1.28237	−	3.94672i	−0.0423244	−	0.130261i
$919$	36.9810	−	26.8683i	1.21989	−	0.886303i	0.223800	−	0.974635i	$-0.428154\pi$
$919$	36.9810	−	26.8683i	1.21989	−	0.886303i	0.996091	+	0.0883323i	$0.0281538\pi$
$920$	−0.267612	+	0.823624i	−0.00882289	+	0.0271541i
$921$	−17.5488	−	54.0096i	−0.578252	−	1.77968i
$922$	−8.37513	−	25.7760i	−0.275820	−	0.848888i
$923$	16.0165	+	49.2938i	0.527190	+	1.62252i
$924$	−6.71101	−	20.6544i	−0.220776	−	0.679479i
$925$	−0.956690	+	2.94439i	−0.0314558	+	0.0968109i
$926$	−15.1190	+	10.9846i	−0.496842	+	0.360977i
$927$	−0.520136	−	1.60081i	−0.0170835	−	0.0525776i
$928$	−5.05051	−	3.66941i	−0.165791	−	0.120454i
$929$	−11.0387			−0.362166			−0.181083	−	0.983468i	$-0.557960\pi$
$929$	−11.0387			−0.362166			−0.181083	+	0.983468i	$0.557960\pi$
$930$	−1.27699	+	3.93016i	−0.0418740	+	0.128875i
$931$	2.67153	+	1.94098i	0.0875558	+	0.0636130i
$932$	22.0397	−	16.0128i	0.721936	−	0.524517i
$933$	−3.44122	+	2.50019i	−0.112661	+	0.0818527i
$934$	43.4375			1.42132
$935$	−5.63290	+	4.09254i	−0.184216	+	0.133840i
$936$	6.75942	+	20.8033i	0.220938	+	0.679978i
$937$	−10.6929	+	32.9095i	−0.349323	+	1.07511i	0.609905	+	0.792475i	$0.291208\pi$
$937$	−10.6929	+	32.9095i	−0.349323	+	1.07511i	−0.959228	+	0.282632i	$0.908792\pi$
$938$	−0.972117	−	0.706284i	−0.0317407	−	0.0230610i
$939$	43.7022	+	31.7515i	1.42617	+	1.03617i
$940$	−4.74455			−0.154750
$941$	−1.83035	+	5.63325i	−0.0596678	+	0.183639i	−0.976448	−	0.215754i	$-0.930779\pi$
$941$	−1.83035	+	5.63325i	−0.0596678	+	0.183639i	0.916780	+	0.399393i	$0.130779\pi$
$942$	−27.4551			−0.894536
$943$	3.98134	+	16.7729i	0.129650	+	0.546200i
$944$	28.1089			0.914865
$945$	0.0496280	−	0.152739i	0.00161440	−	0.00496861i
$946$	−102.662			−3.33784
$947$	−14.6435	−	10.6391i	−0.475849	−	0.345724i	0.323868	−	0.946102i	$-0.395017\pi$
$947$	−14.6435	−	10.6391i	−0.475849	−	0.345724i	−0.799716	+	0.600378i	$0.795017\pi$
$948$	−29.9028	−	21.7257i	−0.971199	−	0.705617i
$949$	16.5343	−	50.8873i	0.536726	−	1.65187i
$950$	9.22465	+	28.3905i	0.299287	+	0.921111i
$951$	45.0541	−	32.7337i	1.46098	−	1.06146i
$952$	−4.52538			−0.146668
$953$	−10.1844	+	7.39943i	−0.329907	+	0.239691i	−0.740391	−	0.672176i	$-0.765360\pi$
$953$	−10.1844	+	7.39943i	−0.329907	+	0.239691i	0.410484	+	0.911868i	$0.365360\pi$
$954$	69.8220	−	50.7286i	2.26057	−	1.64240i
$955$	4.27202	+	3.10381i	0.138239	+	0.100437i
$956$	5.59745	−	17.2272i	0.181034	−	0.557167i
$957$	−14.8990			−0.481617
$958$	17.0530	+	12.3897i	0.550957	+	0.400294i
$959$	−0.909247	−	2.79838i	−0.0293611	−	0.0903643i
$960$	−1.38168	+	1.00385i	−0.0445936	+	0.0323992i
$961$	−6.36549	+	19.5910i	−0.205338	+	0.631967i
$962$	−2.10064	−	6.46510i	−0.0677273	−	0.208443i
$963$	12.4591	+	38.3452i	0.401489	+	1.23566i
$964$	0.533869	+	1.64308i	0.0171948	+	0.0529200i
$965$	0.141599	+	0.435798i	0.00455824	+	0.0140288i
$966$	3.81404	−	11.7384i	0.122715	−	0.377677i
$967$	2.54522	−	1.84921i	0.0818488	−	0.0594666i	−0.546108	−	0.837715i	$-0.683891\pi$
$967$	2.54522	−	1.84921i	0.0818488	−	0.0594666i	0.627957	+	0.778248i	$0.283891\pi$
$968$	−10.3610	−	31.8879i	−0.333015	−	1.02492i
$969$	−26.2208	−	19.0505i	−0.842333	−	0.611990i
$970$	−3.85736			−0.123852
$971$	−2.72202	+	8.37750i	−0.0873536	+	0.268847i	−0.985186	−	0.171491i	$-0.945141\pi$
$971$	−2.72202	+	8.37750i	−0.0873536	+	0.268847i	0.897832	+	0.440338i	$0.145141\pi$
$972$	24.8134	+	18.0280i	0.795889	+	0.578247i
$973$	−12.5519	+	9.11952i	−0.402397	+	0.292358i
$974$	6.05028	−	4.39579i	0.193863	−	0.140850i
$975$	72.2867			2.31503
$976$	−17.5808	+	12.7732i	−0.562749	+	0.408861i
$977$	−9.14785	−	28.1542i	−0.292666	−	0.900732i	−0.983996	−	0.178193i	$-0.942975\pi$
$977$	−9.14785	−	28.1542i	−0.292666	−	0.900732i	0.691330	−	0.722539i	$-0.257025\pi$
$978$	−23.1435	+	71.2284i	−0.740048	+	2.27763i
$979$	27.5544	+	20.0195i	0.880644	+	0.639825i
$980$	0.310557	+	0.225633i	0.00992037	+	0.00720757i
$981$	12.2751			0.391913
$982$	16.9700	−	52.2282i	0.541534	−	1.66667i
$983$	−30.6946			−0.979006			−0.489503	−	0.872002i	$-0.662822\pi$
$983$	−30.6946			−0.979006			−0.489503	+	0.872002i	$0.662822\pi$
$984$	7.08243	−	16.9752i	0.225780	−	0.541151i
$985$	−2.27393			−0.0724533
$986$	2.10282	−	6.47182i	0.0669675	−	0.206105i
$987$	−30.8506			−0.981984
$988$	−21.5891	−	15.6854i	−0.686842	−	0.499020i
$989$	−19.2175	−	13.9623i	−0.611081	−	0.443976i
$990$	−3.24628	+	9.99103i	−0.103174	+	0.317536i
$991$	−3.23225	−	9.94783i	−0.102676	−	0.316003i	0.886502	−	0.462724i	$-0.153128\pi$
$991$	−3.23225	−	9.94783i	−0.102676	−	0.316003i	−0.989178	+	0.146721i	$0.953128\pi$
$992$	17.2869	−	12.5597i	0.548861	−	0.398771i
$993$	−39.5588			−1.25536
$994$	−13.0888	+	9.50960i	−0.415153	+	0.301626i
$995$	−1.90792	+	1.38618i	−0.0604851	+	0.0439450i
$996$	−22.5006	−	16.3476i	−0.712958	−	0.517995i
$997$	7.54051	−	23.2073i	0.238810	−	0.734983i	−0.757783	−	0.652507i	$-0.773717\pi$
$997$	7.54051	−	23.2073i	0.238810	−	0.734983i	0.996593	−	0.0824758i	$-0.0262827\pi$
$998$	−14.1488			−0.447871
$999$	−0.292399	−	0.212441i	−0.00925110	−	0.00672132i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.h.d.57.8	✓	40	1.1	even	1	trivial
287.2.h.d.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)

\(f(q)\)	\(=\)	\(q+(0.567566 - 1.74679i) q^{2} +2.49604 q^{3} +(-1.11111 - 0.807268i) q^{4} +(0.226121 + 0.164287i) q^{5} +(1.41667 - 4.36005i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(0.931061 - 0.676455i) q^{8} +3.23020 q^{9} +O(q^{10})\)	\(q+(0.567566 - 1.74679i) q^{2} +2.49604 q^{3} +(-1.11111 - 0.807268i) q^{4} +(0.226121 + 0.164287i) q^{5} +(1.41667 - 4.36005i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(0.931061 - 0.676455i) q^{8} +3.23020 q^{9} +(0.415314 - 0.301743i) q^{10} +(-5.12523 + 3.72370i) q^{11} +(-2.77337 - 2.01497i) q^{12} +(-1.81827 + 5.59607i) q^{13} -1.83668 q^{14} +(0.564408 + 0.410066i) q^{15} +(-1.50200 - 4.62267i) q^{16} +(3.18121 - 2.31128i) q^{17} +(1.83335 - 5.64248i) q^{18} +(-1.02043 - 3.14057i) q^{19} +(-0.118622 - 0.365081i) q^{20} +(-0.771318 - 2.37387i) q^{21} +(3.59561 + 11.0661i) q^{22} +(-0.831956 + 2.56050i) q^{23} +(2.32396 - 1.68846i) q^{24} +(-1.52094 - 4.68098i) q^{25} +(8.74316 + 6.35228i) q^{26} +0.574593 q^{27} +(-0.424406 + 1.30619i) q^{28} +(0.762270 + 0.553821i) q^{29} +(1.03664 - 0.753162i) q^{30} +(-2.60911 + 1.89563i) q^{31} -6.62562 q^{32} +(-12.7928 + 9.29449i) q^{33} +(-2.23178 - 6.86871i) q^{34} +(0.0863707 - 0.265822i) q^{35} +(-3.58911 - 2.60764i) q^{36} +(-0.508880 - 0.369723i) q^{37} -6.06508 q^{38} +(-4.53848 + 13.9680i) q^{39} +0.321666 q^{40} +(5.46812 - 3.33161i) q^{41} -4.58443 q^{42} +(-2.72649 + 8.39127i) q^{43} +8.70071 q^{44} +(0.730418 + 0.530680i) q^{45} +(4.00046 + 2.90650i) q^{46} +(3.81939 - 11.7549i) q^{47} +(-3.74904 - 11.5384i) q^{48} +(-0.809017 + 0.587785i) q^{49} -9.03993 q^{50} +(7.94042 - 5.76905i) q^{51} +(6.53782 - 4.75001i) q^{52} +(11.7687 + 8.55045i) q^{53} +(0.326120 - 1.00369i) q^{54} -1.77068 q^{55} +(-0.931061 - 0.676455i) q^{56} +(-2.54704 - 7.83898i) q^{57} +(1.40005 - 1.01719i) q^{58} +(-1.78706 + 5.50000i) q^{59} +(-0.296085 - 0.911256i) q^{60} +(-1.38158 - 4.25208i) q^{61} +(1.83042 + 5.63345i) q^{62} +(-0.998187 - 3.07210i) q^{63} +(-0.756481 + 2.32821i) q^{64} +(-1.33051 + 0.966673i) q^{65} +(8.97477 + 27.6215i) q^{66} +(0.529278 + 0.384543i) q^{67} -5.40049 q^{68} +(-2.07659 + 6.39110i) q^{69} +(-0.415314 - 0.301743i) q^{70} +(7.12634 - 5.17759i) q^{71} +(3.00752 - 2.18509i) q^{72} -9.09341 q^{73} +(-0.934652 + 0.679065i) q^{74} +(-3.79633 - 11.6839i) q^{75} +(-1.40147 + 4.31328i) q^{76} +(5.12523 + 3.72370i) q^{77} +(21.8233 + 15.8555i) q^{78} +10.7821 q^{79} +(0.419811 - 1.29204i) q^{80} -8.25640 q^{81} +(-2.71610 - 11.4426i) q^{82} +8.11309 q^{83} +(-1.05933 + 3.26029i) q^{84} +1.09905 q^{85} +(13.1103 + 9.52520i) q^{86} +(1.90265 + 1.38236i) q^{87} +(-2.25299 + 6.93398i) q^{88} +(-1.66135 - 5.11310i) q^{89} +(1.34155 - 0.974691i) q^{90} +5.88405 q^{91} +(2.99140 - 2.17338i) q^{92} +(-6.51243 + 4.73156i) q^{93} +(-18.3655 - 13.3434i) q^{94} +(0.285213 - 0.877794i) q^{95} -16.5378 q^{96} +(-6.07896 - 4.41662i) q^{97} +(0.567566 + 1.74679i) q^{98} +(-16.5555 + 12.0283i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9}+O(q^{10}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9} + 10 q^{10} + 5 q^{11} - 17 q^{12} + 3 q^{13} - 8 q^{14} + 23 q^{15} - 18 q^{16} + 11 q^{17} - 38 q^{18} - 2 q^{19} + 31 q^{20} + 4 q^{22} + 2 q^{23} + 10 q^{24} - 21 q^{25} - 7 q^{26} - 52 q^{27} + 14 q^{28} - 11 q^{29} - 18 q^{30} - 3 q^{31} + 44 q^{32} - 51 q^{33} + 29 q^{34} - 9 q^{35} + 35 q^{36} + 11 q^{37} + 52 q^{38} - 5 q^{39} - 32 q^{40} + 29 q^{41} + 6 q^{42} - 32 q^{43} - 92 q^{44} - 56 q^{45} + 26 q^{46} + 29 q^{47} + 11 q^{48} - 10 q^{49} - 24 q^{50} - 4 q^{51} + 3 q^{52} + 30 q^{53} + 58 q^{54} - 100 q^{55} - 3 q^{56} - 49 q^{57} + 25 q^{58} + 5 q^{59} - 91 q^{60} + 22 q^{61} - 34 q^{62} + 13 q^{63} - 9 q^{64} + 21 q^{65} + 29 q^{66} + 9 q^{67} - 20 q^{68} + 30 q^{69} - 10 q^{70} + 34 q^{71} - 37 q^{72} - 20 q^{73} - 58 q^{74} + 41 q^{75} - 37 q^{76} - 5 q^{77} + 63 q^{78} + 66 q^{79} + 22 q^{80} + 96 q^{81} + 76 q^{82} - 22 q^{83} - 38 q^{84} - 26 q^{85} + 3 q^{86} + 49 q^{87} - 19 q^{89} - q^{90} + 22 q^{91} - 2 q^{92} - 39 q^{93} + 66 q^{94} + 71 q^{95} - 302 q^{96} + 47 q^{97} - 2 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9 + 10 * q^10 + 5 * q^11 - 17 * q^12 + 3 * q^13 - 8 * q^14 + 23 * q^15 - 18 * q^16 + 11 * q^17 - 38 * q^18 - 2 * q^19 + 31 * q^20 + 4 * q^22 + 2 * q^23 + 10 * q^24 - 21 * q^25 - 7 * q^26 - 52 * q^27 + 14 * q^28 - 11 * q^29 - 18 * q^30 - 3 * q^31 + 44 * q^32 - 51 * q^33 + 29 * q^34 - 9 * q^35 + 35 * q^36 + 11 * q^37 + 52 * q^38 - 5 * q^39 - 32 * q^40 + 29 * q^41 + 6 * q^42 - 32 * q^43 - 92 * q^44 - 56 * q^45 + 26 * q^46 + 29 * q^47 + 11 * q^48 - 10 * q^49 - 24 * q^50 - 4 * q^51 + 3 * q^52 + 30 * q^53 + 58 * q^54 - 100 * q^55 - 3 * q^56 - 49 * q^57 + 25 * q^58 + 5 * q^59 - 91 * q^60 + 22 * q^61 - 34 * q^62 + 13 * q^63 - 9 * q^64 + 21 * q^65 + 29 * q^66 + 9 * q^67 - 20 * q^68 + 30 * q^69 - 10 * q^70 + 34 * q^71 - 37 * q^72 - 20 * q^73 - 58 * q^74 + 41 * q^75 - 37 * q^76 - 5 * q^77 + 63 * q^78 + 66 * q^79 + 22 * q^80 + 96 * q^81 + 76 * q^82 - 22 * q^83 - 38 * q^84 - 26 * q^85 + 3 * q^86 + 49 * q^87 - 19 * q^89 - q^90 + 22 * q^91 - 2 * q^92 - 39 * q^93 + 66 * q^94 + 71 * q^95 - 302 * q^96 + 47 * q^97 - 2 * q^98 + 28 * q^99

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