LMFDB - Embedded newform 260.2.o.a.183.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(27,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 0]))

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

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

chi := DirichletCharacter("260.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.o (of order $4$, degree $2$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.13
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.516756 - 1.31642i) q^{2} +(-2.23963 + 2.23963i) q^{3} +(-1.46593 + 1.36054i) q^{4} +(-2.20168 + 0.390628i) q^{5} +(4.10564 + 1.79095i) q^{6} +(0.918543 + 0.918543i) q^{7} +(2.54856 + 1.22671i) q^{8} -7.03189i q^{9} +O(q^{10})$	\(q+(-0.516756 - 1.31642i) q^{2} +(-2.23963 + 2.23963i) q^{3} +(-1.46593 + 1.36054i) q^{4} +(-2.20168 + 0.390628i) q^{5} +(4.10564 + 1.79095i) q^{6} +(0.918543 + 0.918543i) q^{7} +(2.54856 + 1.22671i) q^{8} -7.03189i q^{9} +(1.65196 + 2.69648i) q^{10} -3.84514i q^{11} +(0.236035 - 6.33023i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(0.734526 - 1.68385i) q^{14} +(4.05610 - 5.80582i) q^{15} +(0.297882 - 3.98889i) q^{16} +(-1.82590 + 1.82590i) q^{17} +(-9.25693 + 3.63377i) q^{18} -2.11964 q^{19} +(2.69604 - 3.56810i) q^{20} -4.11439 q^{21} +(-5.06183 + 1.98700i) q^{22} +(4.88785 - 4.88785i) q^{23} +(-8.45522 + 2.96046i) q^{24} +(4.69482 - 1.72008i) q^{25} +(-0.565448 + 1.29625i) q^{26} +(9.02994 + 9.02994i) q^{27} +(-2.59623 - 0.0968054i) q^{28} -8.40499i q^{29} +(-9.73891 - 2.33934i) q^{30} +2.11067i q^{31} +(-5.40499 + 1.66915i) q^{32} +(8.61170 + 8.61170i) q^{33} +(3.34719 + 1.46011i) q^{34} +(-2.38115 - 1.66353i) q^{35} +(9.56714 + 10.3082i) q^{36} +(-4.85589 + 4.85589i) q^{37} +(1.09534 + 2.79033i) q^{38} +3.16732 q^{39} +(-6.09032 - 1.70529i) q^{40} +1.76398 q^{41} +(2.12614 + 5.41627i) q^{42} +(-0.980214 + 0.980214i) q^{43} +(5.23146 + 5.63670i) q^{44} +(2.74685 + 15.4820i) q^{45} +(-8.96029 - 3.90864i) q^{46} +(-6.80504 - 6.80504i) q^{47} +(8.26650 + 9.60079i) q^{48} -5.31256i q^{49} +(-4.69042 - 5.29150i) q^{50} -8.17867i q^{51} +(1.99861 + 0.0745222i) q^{52} +(-2.86242 - 2.86242i) q^{53} +(7.22093 - 16.5535i) q^{54} +(1.50202 + 8.46579i) q^{55} +(1.21418 + 3.46775i) q^{56} +(4.74721 - 4.74721i) q^{57} +(-11.0645 + 4.34333i) q^{58} -8.24159 q^{59} +(1.95309 + 14.0294i) q^{60} +2.94727 q^{61} +(2.77852 - 1.09070i) q^{62} +(6.45909 - 6.45909i) q^{63} +(4.99036 + 6.25270i) q^{64} +(1.83304 + 1.28061i) q^{65} +(6.88647 - 15.7868i) q^{66} +(1.81327 + 1.81327i) q^{67} +(0.192432 - 5.16083i) q^{68} +21.8940i q^{69} +(-0.959435 + 3.99423i) q^{70} +3.60503i q^{71} +(8.62610 - 17.9212i) q^{72} +(-11.5580 - 11.5580i) q^{73} +(8.90171 + 3.88309i) q^{74} +(-6.66232 + 14.3670i) q^{75} +(3.10723 - 2.88384i) q^{76} +(3.53193 - 3.53193i) q^{77} +(-1.63673 - 4.16952i) q^{78} +4.41904 q^{79} +(0.902332 + 8.89864i) q^{80} -19.3518 q^{81} +(-0.911545 - 2.32213i) q^{82} +(4.20776 - 4.20776i) q^{83} +(6.03140 - 5.59778i) q^{84} +(3.30680 - 4.73329i) q^{85} +(1.79691 + 0.783843i) q^{86} +(18.8241 + 18.8241i) q^{87} +(4.71688 - 9.79960i) q^{88} -9.46948i q^{89} +(18.9614 - 11.6164i) q^{90} -1.29902i q^{91} +(-0.515132 + 13.8153i) q^{92} +(-4.72711 - 4.72711i) q^{93} +(-5.44175 + 12.4748i) q^{94} +(4.66677 - 0.827990i) q^{95} +(8.36692 - 15.8435i) q^{96} +(2.33396 - 2.33396i) q^{97} +(-6.99356 + 2.74530i) q^{98} -27.0386 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) $ 72 * q - 8 * q^6 - 12 * q^8	$ 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) $ 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.516756	−	1.31642i	−0.365402	−	0.930850i
$2$	−0.516756	−	1.31642i	−0.365402	−	0.930850i
$3$	−2.23963	+	2.23963i	−1.29305	+	1.29305i	−0.360161	+	0.932890i	$0.617278\pi$
$3$	−2.23963	+	2.23963i	−1.29305	+	1.29305i	−0.932890	+	0.360161i	$0.882722\pi$
$4$	−1.46593	+	1.36054i	−0.732963	+	0.680268i
$5$	−2.20168	+	0.390628i	−0.984623	+	0.174694i
$5$	−2.20168	+	0.390628i	−0.984623	+	0.174694i
$6$	4.10564	+	1.79095i	1.67612	+	0.731154i
$7$	0.918543	+	0.918543i	0.347177	+	0.347177i	0.859057	−	0.511880i	$-0.171051\pi$
$7$	0.918543	+	0.918543i	0.347177	+	0.347177i	−0.511880	+	0.859057i	$0.671051\pi$
$8$	2.54856	+	1.22671i	0.901054	+	0.433708i
$9$		−	7.03189i		−	2.34396i
$10$	1.65196	+	2.69648i	0.522397	+	0.852703i
$11$		−	3.84514i		−	1.15935i	−0.814846	−	0.579677i	$-0.803179\pi$
$11$		−	3.84514i		−	1.15935i	0.814846	−	0.579677i	$-0.196821\pi$
$12$	0.236035	−	6.33023i	0.0681375	−	1.82738i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$14$	0.734526	−	1.68385i	0.196310	−	0.450028i
$15$	4.05610	−	5.80582i	1.04728	−	1.49906i
$16$	0.297882	−	3.98889i	0.0744704	−	0.997223i
$17$	−1.82590	+	1.82590i	−0.442845	+	0.442845i	−0.892967	−	0.450122i	$-0.851380\pi$
$17$	−1.82590	+	1.82590i	−0.442845	+	0.442845i	0.450122	+	0.892967i	$0.351380\pi$
$18$	−9.25693	+	3.63377i	−2.18188	+	0.856488i
$19$	−2.11964			−0.486278			−0.243139	−	0.969991i	$-0.578177\pi$
$19$	−2.11964			−0.486278			−0.243139	+	0.969991i	$0.578177\pi$
$20$	2.69604	−	3.56810i	0.602853	−	0.797852i
$21$	−4.11439			−0.897834
$22$	−5.06183	+	1.98700i	−1.07919	+	0.423630i
$23$	4.88785	−	4.88785i	1.01919	−	1.01919i	0.0193750	−	0.999812i	$-0.493832\pi$
$23$	4.88785	−	4.88785i	1.01919	−	1.01919i	0.999812	−	0.0193750i	$-0.00616763\pi$
$24$	−8.45522	+	2.96046i	−1.72591	+	0.604302i
$25$	4.69482	−	1.72008i	0.938964	−	0.344016i
$26$	−0.565448	+	1.29625i	−0.110894	+	0.254216i
$27$	9.02994	+	9.02994i	1.73781	+	1.73781i
$28$	−2.59623	−	0.0968054i	−0.490641	−	0.0182945i
$29$		−	8.40499i		−	1.56077i	−0.625301	−	0.780383i	$-0.715024\pi$
$29$		−	8.40499i		−	1.56077i	0.625301	−	0.780383i	$-0.284976\pi$
$30$	−9.73891	−	2.33934i	−1.77807	−	0.427102i
$31$			2.11067i			0.379087i	0.981872	+	0.189543i	$0.0607008\pi$
$31$			2.11067i			0.379087i	−0.981872	+	0.189543i	$0.939299\pi$
$32$	−5.40499	+	1.66915i	−0.955477	+	0.295066i
$33$	8.61170	+	8.61170i	1.49910	+	1.49910i
$34$	3.34719	+	1.46011i	0.574038	+	0.250406i
$35$	−2.38115	−	1.66353i	−0.402488	−	0.281188i
$36$	9.56714	+	10.3082i	1.59452	+	1.71804i
$37$	−4.85589	+	4.85589i	−0.798304	+	0.798304i	−0.982828	−	0.184524i	$-0.940926\pi$
$37$	−4.85589	+	4.85589i	−0.798304	+	0.798304i	0.184524	+	0.982828i	$0.440926\pi$
$38$	1.09534	+	2.79033i	0.177687	+	0.452652i
$39$	3.16732			0.507176
$40$	−6.09032	−	1.70529i	−0.962964	−	0.269630i
$41$	1.76398			0.275487			0.137743	−	0.990468i	$-0.456015\pi$
$41$	1.76398			0.275487			0.137743	+	0.990468i	$0.456015\pi$
$42$	2.12614	+	5.41627i	0.328070	+	0.835749i
$43$	−0.980214	+	0.980214i	−0.149481	+	0.149481i	−0.777886	−	0.628405i	$-0.783708\pi$
$43$	−0.980214	+	0.980214i	−0.149481	+	0.149481i	0.628405	+	0.777886i	$0.283708\pi$
$44$	5.23146	+	5.63670i	0.788672	+	0.849764i
$45$	2.74685	+	15.4820i	0.409477	+	2.30792i
$46$	−8.96029	−	3.90864i	−1.32112	−	0.576298i
$47$	−6.80504	−	6.80504i	−0.992617	−	0.992617i	0.00735546	−	0.999973i	$-0.497659\pi$
$47$	−6.80504	−	6.80504i	−0.992617	−	0.992617i	−0.999973	+	0.00735546i	$0.997659\pi$
$48$	8.26650	+	9.60079i	1.19317	+	1.38575i
$49$		−	5.31256i		−	0.758937i
$50$	−4.69042	−	5.29150i	−0.663326	−	0.748331i
$51$		−	8.17867i		−	1.14524i
$52$	1.99861	+	0.0745222i	0.277157	+	0.0103344i
$53$	−2.86242	−	2.86242i	−0.393183	−	0.393183i	0.482637	−	0.875820i	$-0.339679\pi$
$53$	−2.86242	−	2.86242i	−0.393183	−	0.393183i	−0.875820	+	0.482637i	$0.839679\pi$
$54$	7.22093	−	16.5535i	0.982644	−	2.25264i
$55$	1.50202	+	8.46579i	0.202532	+	1.14153i
$56$	1.21418	+	3.46775i	0.162252	+	0.463398i
$57$	4.74721	−	4.74721i	0.628783	−	0.628783i
$58$	−11.0645	+	4.34333i	−1.45284	+	0.570307i
$59$	−8.24159			−1.07296			−0.536482	−	0.843912i	$-0.680247\pi$
$59$	−8.24159			−1.07296			−0.536482	+	0.843912i	$0.680247\pi$
$60$	1.95309	+	14.0294i	0.252143	+	1.81118i
$61$	2.94727			0.377359			0.188679	−	0.982039i	$-0.439579\pi$
$61$	2.94727			0.377359			0.188679	+	0.982039i	$0.439579\pi$
$62$	2.77852	−	1.09070i	0.352873	−	0.138519i
$63$	6.45909	−	6.45909i	0.813769	−	0.813769i
$64$	4.99036	+	6.25270i	0.623795	+	0.781588i
$65$	1.83304	+	1.28061i	0.227361	+	0.158840i
$66$	6.88647	−	15.7868i	0.847666	−	1.94322i
$67$	1.81327	+	1.81327i	0.221526	+	0.221526i	0.809141	−	0.587615i	$-0.199933\pi$
$67$	1.81327	+	1.81327i	0.221526	+	0.221526i	−0.587615	+	0.809141i	$0.699933\pi$
$68$	0.192432	−	5.16083i	0.0233358	−	0.625842i
$69$			21.8940i			2.63572i
$70$	−0.959435	+	3.99423i	−0.114674	+	0.477402i
$71$			3.60503i			0.427839i	0.976851	+	0.213919i	$0.0686230\pi$
$71$			3.60503i			0.427839i	−0.976851	+	0.213919i	$0.931377\pi$
$72$	8.62610	−	17.9212i	1.01660	−	2.11204i
$73$	−11.5580	−	11.5580i	−1.35276	−	1.35276i	−0.882559	−	0.470201i	$-0.844181\pi$
$73$	−11.5580	−	11.5580i	−1.35276	−	1.35276i	−0.470201	−	0.882559i	$-0.655819\pi$
$74$	8.90171	+	3.88309i	1.03480	+	0.451400i
$75$	−6.66232	+	14.3670i	−0.769299	+	1.65896i
$76$	3.10723	−	2.88384i	0.356424	−	0.330800i
$77$	3.53193	−	3.53193i	0.402501	−	0.402501i
$78$	−1.63673	−	4.16952i	−0.185323	−	0.472105i
$79$	4.41904			0.497181			0.248590	−	0.968609i	$-0.420033\pi$
$79$	4.41904			0.497181			0.248590	+	0.968609i	$0.420033\pi$
$80$	0.902332	+	8.89864i	0.100884	+	0.994898i
$81$	−19.3518			−2.15020
$82$	−0.911545	−	2.32213i	−0.100663	−	0.256437i
$83$	4.20776	−	4.20776i	0.461861	−	0.461861i	−0.437404	−	0.899265i	$-0.644102\pi$
$83$	4.20776	−	4.20776i	0.461861	−	0.461861i	0.899265	+	0.437404i	$0.144102\pi$
$84$	6.03140	−	5.59778i	0.658079	−	0.610768i
$85$	3.30680	−	4.73329i	0.358673	−	0.513398i
$86$	1.79691	+	0.783843i	0.193765	+	0.0845239i
$87$	18.8241	+	18.8241i	2.01815	+	2.01815i
$88$	4.71688	−	9.79960i	0.502821	−	1.04464i
$89$		−	9.46948i		−	1.00376i	−0.864936	−	0.501882i	$-0.832641\pi$
$89$		−	9.46948i		−	1.00376i	0.864936	−	0.501882i	$-0.167359\pi$
$90$	18.9614	−	11.6164i	1.99870	−	1.22448i
$91$		−	1.29902i		−	0.136174i
$92$	−0.515132	+	13.8153i	−0.0537062	+	1.44035i
$93$	−4.72711	−	4.72711i	−0.490179	−	0.490179i
$94$	−5.44175	+	12.4748i	−0.561274	+	1.28668i
$95$	4.66677	−	0.827990i	0.478801	−	0.0849500i
$96$	8.36692	−	15.8435i	0.853945	−	1.61702i
$97$	2.33396	−	2.33396i	0.236977	−	0.236977i	−0.578620	−	0.815597i	$-0.696409\pi$
$97$	2.33396	−	2.33396i	0.236977	−	0.236977i	0.815597	+	0.578620i	$0.196409\pi$
$98$	−6.99356	+	2.74530i	−0.706456	+	0.277317i
$99$	−27.0386			−2.71748
$100$	−4.54203	+	8.90898i	−0.454203	+	0.890898i
$101$	3.70148			0.368311			0.184155	−	0.982897i	$-0.441045\pi$
$101$	3.70148			0.368311			0.184155	+	0.982897i	$0.441045\pi$
$102$	−10.7666	+	4.22637i	−1.06605	+	0.418473i
$103$	−11.8324	+	11.8324i	−1.16588	+	1.16588i	−0.182711	+	0.983167i	$0.558487\pi$
$103$	−11.8324	+	11.8324i	−1.16588	+	1.16588i	−0.983167	+	0.182711i	$0.941513\pi$
$104$	−0.934692	−	2.66952i	−0.0916541	−	0.261768i
$105$	9.05859	−	1.60720i	0.884028	−	0.156846i
$106$	−2.28897	+	5.24732i	−0.222325	+	0.509664i
$107$	−5.22115	−	5.22115i	−0.504748	−	0.504748i	0.408162	−	0.912910i	$-0.366170\pi$
$107$	−5.22115	−	5.22115i	−0.504748	−	0.504748i	−0.912910	+	0.408162i	$0.866170\pi$
$108$	−25.5228	−	0.951668i	−2.45593	−	0.0915743i
$109$			8.97655i			0.859797i	0.902877	+	0.429899i	$0.141451\pi$
$109$			8.97655i			0.859797i	−0.902877	+	0.429899i	$0.858549\pi$
$110$	10.3684	−	6.35204i	0.988584	−	0.605643i
$111$		−	21.7508i		−	2.06450i
$112$	3.93759	−	3.39035i	0.372067	−	0.320358i
$113$	−3.62969	−	3.62969i	−0.341452	−	0.341452i	0.515461	−	0.856913i	$-0.327621\pi$
$113$	−3.62969	−	3.62969i	−0.341452	−	0.341452i	−0.856913	+	0.515461i	$0.827621\pi$
$114$	−8.70247	−	3.79617i	−0.815061	−	0.355544i
$115$	−8.85217	+	12.6708i	−0.825469	+	1.18156i
$116$	11.4353	+	12.3211i	1.06174	+	1.14398i
$117$	−4.97230	+	4.97230i	−0.459689	+	0.459689i
$118$	4.25889	+	10.8494i	0.392063	+	0.998768i
$119$	−3.35433			−0.307491
$120$	17.4593	−	9.82085i	1.59381	−	0.896517i
$121$	−3.78513			−0.344103
$122$	−1.52302	−	3.87984i	−0.137888	−	0.351264i
$123$	−3.95065	+	3.95065i	−0.356219	+	0.356219i
$124$	−2.87164	−	3.09408i	−0.257881	−	0.277857i
$125$	−9.66460	+	5.62100i	−0.864428	+	0.502757i
$126$	−11.8407	−	5.16511i	−1.05485	−	0.460144i
$127$	−4.53841	−	4.53841i	−0.402719	−	0.402719i	0.476471	−	0.879190i	$-0.341916\pi$
$127$	−4.53841	−	4.53841i	−0.402719	−	0.402719i	−0.879190	+	0.476471i	$0.841916\pi$
$128$	5.65239	−	9.80054i	0.499605	−	0.866253i
$129$		−	4.39063i		−	0.386574i
$130$	0.738586	−	3.07482i	0.0647783	−	0.269679i
$131$		−	17.3332i		−	1.51441i	−0.653180	−	0.757203i	$-0.726565\pi$
$131$		−	17.3332i		−	1.51441i	0.653180	−	0.757203i	$-0.273435\pi$
$132$	−24.3407	−	0.907589i	−2.11858	−	0.0789955i
$133$	−1.94698	−	1.94698i	−0.168824	−	0.168824i
$134$	1.45001	−	3.32404i	0.125261	−	0.287153i
$135$	−23.4084	−	16.3537i	−2.01468	−	1.40750i
$136$	−6.89326	+	2.41357i	−0.591092	+	0.206962i
$137$	−5.36795	+	5.36795i	−0.458615	+	0.458615i	−0.898201	−	0.439586i	$-0.855125\pi$
$137$	−5.36795	+	5.36795i	−0.458615	+	0.458615i	0.439586	+	0.898201i	$0.355125\pi$
$138$	28.8217	−	11.3138i	2.45346	−	0.963097i
$139$	−16.6018			−1.40815			−0.704073	−	0.710128i	$-0.748637\pi$
$139$	−16.6018			−1.40815			−0.704073	+	0.710128i	$0.748637\pi$
$140$	5.75389	−	0.801024i	0.486292	−	0.0676989i
$141$	30.4816			2.56701
$142$	4.74574	−	1.86292i	0.398254	−	0.156333i
$143$	−2.71893	+	2.71893i	−0.227368	+	0.227368i
$144$	−28.0495	−	2.09467i	−2.33745	−	0.174556i
$145$	3.28322	+	18.5051i	0.272657	+	1.53677i
$146$	−9.24252	+	21.1878i	−0.764916	+	1.75352i
$147$	11.8982	+	11.8982i	0.981344	+	0.981344i
$148$	0.511764	−	13.7250i	0.0420667	−	1.12819i
$149$			14.1914i			1.16260i	0.813688	+	0.581302i	$0.197457\pi$
$149$			14.1914i			1.16260i	−0.813688	+	0.581302i	$0.802543\pi$
$150$	22.3558	+	1.34618i	1.82534	+	0.109916i
$151$			4.46986i			0.363752i	0.983321	+	0.181876i	$0.0582169\pi$
$151$			4.46986i			0.363752i	−0.983321	+	0.181876i	$0.941783\pi$
$152$	−5.40203	−	2.60018i	−0.438163	−	0.210903i
$153$	12.8395	+	12.8395i	1.03801	+	1.03801i
$154$	−6.47465	−	2.82436i	−0.521742	−	0.227593i
$155$	−0.824485	−	4.64702i	−0.0662242	−	0.373257i
$156$	−4.64305	+	4.30925i	−0.371742	+	0.345016i
$157$	13.1851	−	13.1851i	1.05229	−	1.05229i	0.0537332	−	0.998555i	$-0.482888\pi$
$157$	13.1851	−	13.1851i	1.05229	−	1.05229i	0.998555	−	0.0537332i	$-0.0171121\pi$
$158$	−2.28357	−	5.81732i	−0.181671	−	0.462801i
$159$	12.8215			1.01681
$160$	11.2481	−	5.78627i	0.889238	−	0.457445i
$161$	8.97940			0.707676
$162$	10.0002	+	25.4751i	0.785687	+	2.00151i
$163$	12.3293	−	12.3293i	0.965704	−	0.965704i	−0.0337267	−	0.999431i	$-0.510738\pi$
$163$	12.3293	−	12.3293i	0.965704	−	0.965704i	0.999431	+	0.0337267i	$0.0107376\pi$
$164$	−2.58586	+	2.39995i	−0.201922	+	0.187405i
$165$	−22.3242	−	15.5963i	−1.73794	−	1.21417i
$166$	−7.71356	−	3.36479i	−0.598688	−	0.261159i
$167$	4.32625	+	4.32625i	0.334776	+	0.334776i	0.854397	−	0.519621i	$-0.173927\pi$
$167$	4.32625	+	4.32625i	0.334776	+	0.334776i	−0.519621	+	0.854397i	$0.673927\pi$
$168$	−10.4858	−	5.04717i	−0.808997	−	0.389398i
$169$			1.00000i			0.0769231i
$170$	−7.93981	−	1.90718i	−0.608956	−	0.146274i
$171$			14.9051i			1.13982i
$172$	0.103305	−	2.77054i	0.00787693	−	0.211252i
$173$	7.96635	+	7.96635i	0.605670	+	0.605670i	0.941812	−	0.336141i	$-0.109122\pi$
$173$	7.96635	+	7.96635i	0.605670	+	0.605670i	−0.336141	+	0.941812i	$0.609122\pi$
$174$	15.0529	−	34.5078i	1.14116	−	2.61603i
$175$	5.89236	+	2.73243i	0.445420	+	0.206552i
$176$	−15.3379	−	1.14540i	−1.15614	−	0.0863376i
$177$	18.4581	−	18.4581i	1.38740	−	1.38740i
$178$	−12.4658	+	4.89341i	−0.934353	+	0.366777i
$179$	11.8615			0.886572			0.443286	−	0.896380i	$-0.353813\pi$
$179$	11.8615			0.886572			0.443286	+	0.896380i	$0.353813\pi$
$180$	−25.0905	−	18.9583i	−1.87014	−	1.41307i
$181$	2.12699			0.158098			0.0790488	−	0.996871i	$-0.474812\pi$
$181$	2.12699			0.158098			0.0790488	+	0.996871i	$0.474812\pi$
$182$	−1.71005	+	0.671274i	−0.126757	+	0.0497581i
$183$	−6.60079	+	6.60079i	−0.487944	+	0.487944i
$184$	18.4530	−	6.46102i	1.36037	−	0.476313i
$185$	8.79429	−	12.5880i	0.646569	−	0.925487i
$186$	−3.78010	+	8.66563i	−0.277171	+	0.635395i
$187$	7.02083	+	7.02083i	0.513414	+	0.513414i
$188$	19.2342	+	0.717185i	1.40280	+	0.0523061i
$189$			16.5888i			1.20666i
$190$	−3.50156	−	5.71557i	−0.254030	−	0.414651i
$191$			18.0502i			1.30607i	0.757330	+	0.653033i	$0.226504\pi$
$191$			18.0502i			1.30607i	−0.757330	+	0.653033i	$0.773496\pi$
$192$	−25.1803	−	2.82718i	−1.81723	−	0.204034i
$193$	−15.6724	−	15.6724i	−1.12812	−	1.12812i	−0.990482	−	0.137642i	$-0.956048\pi$
$193$	−15.6724	−	15.6724i	−1.12812	−	1.12812i	−0.137642	−	0.990482i	$-0.543952\pi$
$194$	−4.27855	−	1.86638i	−0.307182	−	0.133998i
$195$	−6.97343	+	1.23724i	−0.499377	+	0.0886008i
$196$	7.22793	+	7.78782i	0.516281	+	0.556273i
$197$	3.07519	−	3.07519i	0.219098	−	0.219098i	−0.589020	−	0.808118i	$-0.700486\pi$
$197$	3.07519	−	3.07519i	0.219098	−	0.219098i	0.808118	+	0.589020i	$0.200486\pi$
$198$	13.9724	+	35.5942i	0.992973	+	2.52957i
$199$	8.16946			0.579117			0.289559	−	0.957160i	$-0.406491\pi$
$199$	8.16946			0.579117			0.289559	+	0.957160i	$0.406491\pi$
$200$	14.0751	+	1.37546i	0.995259	+	0.0972594i
$201$	−8.12210			−0.572889
$202$	−1.91276	−	4.87270i	−0.134581	−	0.342842i
$203$	7.72034	−	7.72034i	0.541862	−	0.541862i
$204$	11.1274	+	11.9893i	0.779072	+	0.839421i
$205$	−3.88372	+	0.689058i	−0.271251	+	0.0481259i
$206$	21.6908	+	9.46193i	1.51127	+	0.659244i
$207$	−34.3708	−	34.3708i	−2.38894	−	2.38894i
$208$	−3.03121	+	2.60994i	−0.210176	+	0.180967i
$209$			8.15031i			0.563769i
$210$	−6.79683	−	11.0944i	−0.469026	−	0.765585i
$211$		−	18.9671i		−	1.30575i	−0.757467	−	0.652873i	$-0.773563\pi$
$211$		−	18.9671i		−	1.30575i	0.757467	−	0.652873i	$-0.226437\pi$
$212$	8.09052	+	0.301671i	0.555659	+	0.0207188i
$213$	−8.07394	−	8.07394i	−0.553217	−	0.553217i
$214$	−4.17517	+	9.57130i	−0.285409	+	0.654280i
$215$	1.77522	−	2.54102i	0.121069	−	0.173296i
$216$	11.9363	+	34.0905i	0.812160	+	2.31957i
$217$	−1.93874	+	1.93874i	−0.131610	+	0.131610i
$218$	11.8169	−	4.63868i	0.800342	−	0.314171i
$219$	51.7713			3.49838
$220$	−13.7199	−	10.3667i	−0.924993	−	0.698921i
$221$	2.58221			0.173698
$222$	−28.6332	+	11.2399i	−1.92174	+	0.754370i
$223$	0.848283	−	0.848283i	0.0568052	−	0.0568052i	−0.678134	−	0.734939i	$-0.737211\pi$
$223$	0.848283	−	0.848283i	0.0568052	−	0.0568052i	0.734939	+	0.678134i	$0.237211\pi$
$224$	−6.49790	−	3.43153i	−0.434159	−	0.229279i
$225$	−12.0954	−	33.0135i	−0.806360	−	2.20090i
$226$	−2.90253	+	6.65385i	−0.193073	+	0.442608i
$227$	−9.33049	−	9.33049i	−0.619286	−	0.619286i	0.326062	−	0.945348i	$-0.394278\pi$
$227$	−9.33049	−	9.33049i	−0.619286	−	0.619286i	−0.945348	+	0.326062i	$0.894278\pi$
$228$	−0.500309	+	13.4178i	−0.0331338	+	0.888616i
$229$			0.978640i			0.0646704i	0.999477	+	0.0323352i	$0.0102944\pi$
$229$			0.978640i			0.0646704i	−0.999477	+	0.0323352i	$0.989706\pi$
$230$	21.2546	+	5.10545i	1.40148	+	0.336643i
$231$			15.8204i			1.04091i
$232$	10.3105	−	21.4206i	0.676917	−	1.40633i
$233$	9.95655	+	9.95655i	0.652275	+	0.652275i	0.953540	−	0.301265i	$-0.0974090\pi$
$233$	9.95655	+	9.95655i	0.652275	+	0.652275i	−0.301265	+	0.953540i	$0.597409\pi$
$234$	9.11510	+	3.97617i	0.595873	+	0.259930i
$235$	17.6408	+	12.3243i	1.15076	+	0.803949i
$236$	12.0816	−	11.2130i	0.786443	−	0.729903i
$237$	−9.89702	+	9.89702i	−0.642881	+	0.642881i
$238$	1.73337	+	4.41571i	0.112358	+	0.286228i
$239$	−7.98982			−0.516819			−0.258409	−	0.966036i	$-0.583198\pi$
$239$	−7.98982			−0.516819			−0.258409	+	0.966036i	$0.583198\pi$
$240$	−21.9506	−	17.9088i	−1.41690	−	1.15601i
$241$	17.0010			1.09513			0.547565	−	0.836763i	$-0.315555\pi$
$241$	17.0010			1.09513			0.547565	+	0.836763i	$0.315555\pi$
$242$	1.95599	+	4.98282i	0.125736	+	0.320308i
$243$	16.2511	−	16.2511i	1.04251	−	1.04251i
$244$	−4.32048	+	4.00986i	−0.276590	+	0.256705i
$245$	2.07523	+	11.6966i	0.132582	+	0.747267i
$246$	7.24225	+	3.15920i	0.461749	+	0.201423i
$247$	1.49881	+	1.49881i	0.0953670	+	0.0953670i
$248$	−2.58918	+	5.37917i	−0.164413	+	0.341578i
$249$			18.8476i			1.19442i
$250$	12.3938	+	9.81799i	0.783855	+	0.620944i
$251$		−	1.82190i		−	0.114997i	−0.998346	−	0.0574985i	$-0.981688\pi$
$251$		−	1.82190i		−	0.114997i	0.998346	−	0.0574985i	$-0.0183125\pi$
$252$	−0.680725	+	18.2564i	−0.0428817	+	1.15004i
$253$	−18.7945	−	18.7945i	−1.18160	−	1.18160i
$254$	−3.62921	+	8.31970i	−0.227717	+	0.522025i
$255$	3.19482	+	18.0068i	0.200067	+	1.12763i
$256$	−15.8225	−	2.37644i	−0.988908	−	0.148527i
$257$	−17.1141	+	17.1141i	−1.06755	+	1.06755i	−0.0700002	+	0.997547i	$0.522300\pi$
$257$	−17.1141	+	17.1141i	−1.06755	+	1.06755i	−0.997547	+	0.0700002i	$0.977700\pi$
$258$	−5.77992	+	2.26889i	−0.359842	+	0.141255i
$259$	−8.92069			−0.554305
$260$	−4.42942	+	0.616639i	−0.274701	+	0.0382423i
$261$	−59.1029			−3.65838
$262$	−22.8177	+	8.95702i	−1.40968	+	0.553366i
$263$	−5.80407	+	5.80407i	−0.357895	+	0.357895i	−0.863036	−	0.505142i	$-0.831440\pi$
$263$	−5.80407	+	5.80407i	−0.357895	+	0.357895i	0.505142	+	0.863036i	$0.331440\pi$
$264$	11.3834	+	32.5115i	0.700600	+	2.00095i
$265$	7.42028	+	5.18400i	0.455824	+	0.318450i
$266$	−1.55693	+	3.56915i	−0.0954615	+	0.218839i
$267$	21.2081	+	21.2081i	1.29792	+	1.29792i
$268$	−5.12513	−	0.191101i	−0.313067	−	0.0116733i
$269$		−	2.30491i		−	0.140533i	−0.997528	−	0.0702664i	$-0.977615\pi$
$269$		−	2.30491i		−	0.140533i	0.997528	−	0.0702664i	$-0.0223849\pi$
$270$	−9.43194	+	39.2662i	−0.574010	+	2.38967i
$271$			17.1855i			1.04394i	0.852963	+	0.521971i	$0.174803\pi$
$271$			17.1855i			1.04394i	−0.852963	+	0.521971i	$0.825197\pi$
$272$	6.73940	+	7.82721i	0.408636	+	0.474594i
$273$	2.90932	+	2.90932i	0.176080	+	0.176080i
$274$	9.84041	+	4.29256i	0.594481	+	0.259323i
$275$	−6.61395	−	18.0523i	−0.398836	−	1.08859i
$276$	−29.7875	−	32.0949i	−1.79300	−	1.93189i
$277$	1.69205	−	1.69205i	0.101666	−	0.101666i	−0.654444	−	0.756110i	$-0.727097\pi$
$277$	1.69205	−	1.69205i	0.101666	−	0.101666i	0.756110	+	0.654444i	$0.227097\pi$
$278$	8.57907	+	21.8549i	0.514538	+	1.31077i
$279$	14.8420			0.888566
$280$	−4.02784	−	7.16060i	−0.240709	−	0.427928i
$281$	−12.7153			−0.758532			−0.379266	−	0.925288i	$-0.623823\pi$
$281$	−12.7153			−0.758532			−0.379266	+	0.925288i	$0.623823\pi$
$282$	−15.7515	−	40.1266i	−0.937990	−	2.38950i
$283$	12.4780	−	12.4780i	0.741737	−	0.741737i	−0.231175	−	0.972912i	$-0.574257\pi$
$283$	12.4780	−	12.4780i	0.741737	−	0.741737i	0.972912	+	0.231175i	$0.0742569\pi$
$284$	−4.90478	−	5.28471i	−0.291045	−	0.313590i
$285$	−8.59745	+	12.3062i	−0.509269	+	0.728958i
$286$	4.98427	+	2.17423i	0.294726	+	0.128565i
$287$	1.62029	+	1.62029i	0.0956425	+	0.0956425i
$288$	11.7373	+	38.0073i	0.691624	+	2.23960i
$289$			10.3322i			0.607777i
$290$	22.6639	−	13.8847i	1.33087	−	0.815339i
$291$			10.4544i			0.612848i
$292$	32.6682	+	1.21810i	1.91176	+	0.0712839i
$293$	−1.44715	−	1.44715i	−0.0845432	−	0.0845432i	0.663571	−	0.748114i	$-0.269040\pi$
$293$	−1.44715	−	1.44715i	−0.0845432	−	0.0845432i	−0.748114	+	0.663571i	$0.769040\pi$
$294$	9.51454	−	21.8114i	0.554900	−	1.27207i
$295$	18.1454	−	3.21940i	1.05646	−	0.187440i
$296$	−18.3323	+	6.41878i	−1.06555	+	0.373084i
$297$	34.7214	−	34.7214i	2.01474	−	2.01474i
$298$	18.6818	−	7.33349i	1.08221	−	0.424817i
$299$	−6.91246			−0.399758
$300$	−9.78035	−	30.1253i	−0.564669	−	1.73929i
$301$	−1.80074			−0.103793
$302$	5.88421	−	2.30982i	0.338598	−	0.132915i
$303$	−8.28995	+	8.28995i	−0.476245	+	0.476245i
$304$	−0.631401	+	8.45501i	−0.0362133	+	0.484928i
$305$	−6.48895	+	1.15128i	−0.371556	+	0.0659224i
$306$	10.2673	−	23.5371i	0.586942	−	1.34553i
$307$	2.02392	+	2.02392i	0.115511	+	0.115511i	0.762500	−	0.646988i	$-0.223972\pi$
$307$	2.02392	+	2.02392i	0.115511	+	0.115511i	−0.646988	+	0.762500i	$0.723972\pi$
$308$	−0.372231	+	9.98287i	−0.0212098	+	0.568827i
$309$		−	53.0003i		−	3.01508i
$310$	−5.69137	+	3.48674i	−0.323248	+	0.198034i
$311$		−	21.9636i		−	1.24544i	−0.782444	−	0.622722i	$-0.786027\pi$
$311$		−	21.9636i		−	1.24544i	0.782444	−	0.622722i	$-0.213973\pi$
$312$	8.07211	+	3.88538i	0.456993	+	0.219966i
$313$	9.29451	+	9.29451i	0.525357	+	0.525357i	0.919184	−	0.393827i	$-0.128849\pi$
$313$	9.29451	+	9.29451i	0.525357	+	0.525357i	−0.393827	+	0.919184i	$0.628849\pi$
$314$	−24.1707	−	10.5437i	−1.36403	−	0.595015i
$315$	−11.6978	+	16.7440i	−0.659095	+	0.943416i
$316$	−6.47799	+	6.01227i	−0.364415	+	0.338216i
$317$	−24.5364	+	24.5364i	−1.37810	+	1.37810i	−0.530279	+	0.847823i	$0.677913\pi$
$317$	−24.5364	+	24.5364i	−1.37810	+	1.37810i	−0.847823	+	0.530279i	$0.822087\pi$
$318$	−6.62559	−	16.8785i	−0.371545	−	0.946500i
$319$	−32.3184			−1.80948
$320$	−13.4297	−	11.8171i	−0.750742	−	0.660596i
$321$	23.3869			1.30533
$322$	−4.64016	−	11.8207i	−0.258586	−	0.658740i
$323$	3.87024	−	3.87024i	0.215346	−	0.215346i
$324$	28.3683	−	26.3288i	1.57602	−	1.46271i
$325$	−4.53602	−	2.10346i	−0.251613	−	0.116679i
$326$	−22.6018	−	9.85930i	−1.25180	−	0.546056i
$327$	−20.1042	−	20.1042i	−1.11176	−	1.11176i
$328$	4.49561	+	2.16389i	0.248228	+	0.119481i
$329$		−	12.5014i		−	0.689227i
$330$	−8.99508	+	37.4475i	−0.495163	+	2.06142i
$331$			8.67620i			0.476887i	0.971156	+	0.238444i	$0.0766372\pi$
$331$			8.67620i			0.476887i	−0.971156	+	0.238444i	$0.923363\pi$
$332$	−0.443456	+	11.8931i	−0.0243378	+	0.652717i
$333$	34.1461	+	34.1461i	1.87120	+	1.87120i
$334$	3.45955	−	7.93079i	0.189298	−	0.433953i
$335$	−4.70056	−	3.28393i	−0.256819	−	0.179420i
$336$	−1.22560	+	16.4119i	−0.0668621	+	0.895341i
$337$	−5.34559	+	5.34559i	−0.291193	+	0.291193i	−0.837551	−	0.546358i	$-0.816014\pi$
$337$	−5.34559	+	5.34559i	−0.291193	+	0.291193i	0.546358	+	0.837551i	$0.316014\pi$
$338$	1.31642	−	0.516756i	0.0716038	−	0.0281078i
$339$	16.2583			0.883030
$340$	1.59229	+	11.4377i	0.0863541	+	0.620295i
$341$	8.11581			0.439496
$342$	19.6213	−	7.70228i	1.06100	−	0.416491i
$343$	11.3096	−	11.3096i	0.610662	−	0.610662i
$344$	−3.70058	+	1.29570i	−0.199522	+	0.0698594i
$345$	−8.55239	−	48.2036i	−0.460445	−	2.59519i
$346$	6.37041	−	14.6037i	0.342475	−	0.785101i
$347$	−4.16909	−	4.16909i	−0.223809	−	0.223809i	0.586292	−	0.810100i	$-0.300587\pi$
$347$	−4.16909	−	4.16909i	−0.223809	−	0.223809i	−0.810100	+	0.586292i	$0.800587\pi$
$348$	−53.2055	−	1.98387i	−2.85211	−	0.106347i
$349$			2.32016i			0.124195i	0.998070	+	0.0620976i	$0.0197790\pi$
$349$			2.32016i			0.124195i	−0.998070	+	0.0620976i	$0.980221\pi$
$350$	0.552113	−	9.16882i	0.0295117	−	0.490094i
$351$		−	12.7703i		−	0.681627i
$352$	6.41811	+	20.7830i	0.342086	+	1.10774i
$353$	−20.9071	−	20.9071i	−1.11277	−	1.11277i	−0.992774	−	0.119997i	$-0.961712\pi$
$353$	−20.9071	−	20.9071i	−1.11277	−	1.11277i	−0.119997	−	0.992774i	$-0.538288\pi$
$354$	−33.8370	−	14.7603i	−1.79842	−	0.784501i
$355$	−1.40823	−	7.93714i	−0.0747409	−	0.421260i
$356$	12.8836	+	13.8816i	0.682828	+	0.735722i
$357$	7.51246	−	7.51246i	0.397601	−	0.397601i
$358$	−6.12951	−	15.6147i	−0.323955	−	0.825265i
$359$	−1.85375			−0.0978370			−0.0489185	−	0.998803i	$-0.515577\pi$
$359$	−1.85375			−0.0978370			−0.0489185	+	0.998803i	$0.515577\pi$
$360$	−11.9914	+	42.8265i	−0.632002	+	2.25715i
$361$	−14.5071			−0.763533
$362$	−1.09913	−	2.80001i	−0.0577692	−	0.147165i
$363$	8.47729	−	8.47729i	0.444942	−	0.444942i
$364$	1.76736	+	1.90426i	0.0926347	+	0.0998104i
$365$	29.9619	+	20.9322i	1.56828	+	1.09564i
$366$	12.1004	+	5.27842i	0.632499	+	0.275907i
$367$	−2.30679	−	2.30679i	−0.120414	−	0.120414i	0.644332	−	0.764746i	$-0.277135\pi$
$367$	−2.30679	−	2.30679i	−0.120414	−	0.120414i	−0.764746	+	0.644332i	$0.777135\pi$
$368$	−18.0411	−	20.9531i	−0.940458	−	1.09226i
$369$		−	12.4041i		−	0.645731i
$370$	−21.1156	−	5.07207i	−1.09775	−	0.263684i
$371$		−	5.25851i		−	0.273008i
$372$	13.3610	+	0.498191i	0.692736	+	0.0258300i
$373$	23.9386	+	23.9386i	1.23949	+	1.23949i	0.960209	+	0.279284i	$0.0900970\pi$
$373$	23.9386	+	23.9386i	1.23949	+	1.23949i	0.279284	+	0.960209i	$0.409903\pi$
$374$	5.61431	−	12.8704i	0.290309	−	0.665514i
$375$	9.05617	−	34.2341i	0.467659	−	1.76784i
$376$	−8.99527	−	25.6909i	−0.463896	−	1.32491i
$377$	−5.94322	+	5.94322i	−0.306092	+	0.306092i
$378$	21.8378	−	8.57235i	1.12322	−	0.440914i
$379$	20.2186			1.03856			0.519279	−	0.854605i	$-0.326201\pi$
$379$	20.2186			1.03856			0.519279	+	0.854605i	$0.326201\pi$
$380$	−5.71463	+	7.56308i	−0.293155	+	0.387978i
$381$	20.3287			1.04147
$382$	23.7616	−	9.32754i	1.21575	−	0.477239i
$383$	−3.38104	+	3.38104i	−0.172763	+	0.172763i	−0.788192	−	0.615429i	$-0.788983\pi$
$383$	−3.38104	+	3.38104i	−0.172763	+	0.172763i	0.615429	+	0.788192i	$0.288983\pi$
$384$	9.29032	+	34.6088i	0.474095	+	1.76613i
$385$	−6.39652	+	9.15586i	−0.325997	+	0.466626i
$386$	−12.5327	+	28.7303i	−0.637896	+	1.46233i
$387$	6.89276	+	6.89276i	0.350379	+	0.350379i
$388$	−0.245976	+	6.59684i	−0.0124875	+	0.334904i
$389$		−	3.25593i		−	0.165082i	−0.996588	−	0.0825410i	$-0.973696\pi$
$389$		−	3.25593i		−	0.165082i	0.996588	−	0.0825410i	$-0.0263035\pi$
$390$	5.23229	+	8.54061i	0.264947	+	0.432471i
$391$			17.8494i			0.902684i
$392$	6.51697	−	13.5394i	0.329157	−	0.683843i
$393$	38.8199	+	38.8199i	1.95820	+	1.95820i
$394$	−5.63737	−	2.45912i	−0.284007	−	0.123889i
$395$	−9.72933	+	1.72620i	−0.489536	+	0.0868546i
$396$	39.6366	−	36.7870i	1.99182	−	1.84862i
$397$	4.48113	−	4.48113i	0.224901	−	0.224901i	−0.585657	−	0.810559i	$-0.699164\pi$
$397$	4.48113	−	4.48113i	0.224901	−	0.224901i	0.810559	+	0.585657i	$0.199164\pi$
$398$	−4.22161	−	10.7544i	−0.211610	−	0.539071i
$399$	8.72102			0.436597
$400$	−5.46271	−	19.2395i	−0.273135	−	0.961976i
$401$	−15.9771			−0.797860			−0.398930	−	0.916981i	$-0.630618\pi$
$401$	−15.9771			−0.797860			−0.398930	+	0.916981i	$0.630618\pi$
$402$	4.19714	+	10.6921i	0.209335	+	0.533274i
$403$	1.49247	−	1.49247i	0.0743450	−	0.0743450i
$404$	−5.42610	+	5.03600i	−0.269958	+	0.250550i
$405$	42.6066	−	7.55936i	2.11714	−	0.375627i
$406$	−14.1527	−	6.17368i	−0.702389	−	0.306395i
$407$	18.6716	+	18.6716i	0.925517	+	0.925517i
$408$	10.0329	−	20.8439i	0.496701	−	1.03192i
$409$			8.03499i			0.397305i	0.980070	+	0.198652i	$0.0636565\pi$
$409$			8.03499i			0.397305i	−0.980070	+	0.198652i	$0.936344\pi$
$410$	2.91402	+	4.75653i	0.143913	+	0.234908i
$411$		−	24.0445i		−	1.18603i
$412$	1.24702	−	33.4437i	0.0614361	−	1.64765i
$413$	−7.57025	−	7.57025i	−0.372508	−	0.372508i
$414$	−27.4851	+	63.0078i	−1.35082	+	3.09666i
$415$	−7.62048	+	10.9078i	−0.374075	+	0.535443i
$416$	5.00217	+	2.64164i	0.245252	+	0.129517i
$417$	37.1819	−	37.1819i	1.82080	−	1.82080i
$418$	10.7292	−	4.21172i	0.524784	−	0.206002i
$419$	−10.1291			−0.494838			−0.247419	−	0.968909i	$-0.579582\pi$
$419$	−10.1291			−0.494838			−0.247419	+	0.968909i	$0.579582\pi$
$420$	−11.0926	+	14.6806i	−0.541262	+	0.716339i
$421$	6.38901			0.311381			0.155691	−	0.987806i	$-0.450240\pi$
$421$	6.38901			0.311381			0.155691	+	0.987806i	$0.450240\pi$
$422$	−24.9686	+	9.80134i	−1.21545	+	0.477122i
$423$	−47.8523	+	47.8523i	−2.32666	+	2.32666i
$424$	−3.78370	−	10.8064i	−0.183753	−	0.524806i
$425$	−5.43157	+	11.7129i	−0.263470	+	0.568161i
$426$	−6.45645	+	14.8010i	−0.312816	+	0.717109i
$427$	2.70719	+	2.70719i	0.131010	+	0.131010i
$428$	14.7574	+	0.550259i	0.713326	+	0.0265978i
$429$		−	12.1788i		−	0.587997i
$430$	−4.26241	−	1.02385i	−0.205552	−	0.0493745i
$431$			20.5386i			0.989310i	0.869089	+	0.494655i	$0.164706\pi$
$431$			20.5386i			0.989310i	−0.869089	+	0.494655i	$0.835294\pi$
$432$	38.7093	−	33.3296i	1.86240	−	1.60357i
$433$	−16.7017	−	16.7017i	−0.802631	−	0.802631i	0.180875	−	0.983506i	$-0.442107\pi$
$433$	−16.7017	−	16.7017i	−0.802631	−	0.802631i	−0.983506	+	0.180875i	$0.942107\pi$
$434$	3.55405	+	1.55034i	0.170600	+	0.0744187i
$435$	−48.7978	−	34.0914i	−2.33968	−	1.63456i
$436$	−12.2129	−	13.1590i	−0.584893	−	0.630200i
$437$	−10.3605	+	10.3605i	−0.495609	+	0.495609i
$438$	−26.7531	−	68.1527i	−1.27831	−	3.25646i
$439$	26.9755			1.28747			0.643735	−	0.765249i	$-0.277384\pi$
$439$	26.9755			1.28747			0.643735	+	0.765249i	$0.277384\pi$
$440$	−6.55708	+	23.4182i	−0.312596	+	1.11642i
$441$	−37.3573			−1.77892
$442$	−1.33437	−	3.39927i	−0.0634696	−	0.161687i
$443$	−20.1664	+	20.1664i	−0.958132	+	0.958132i	−0.999158	−	0.0410258i	$-0.986937\pi$
$443$	−20.1664	+	20.1664i	−0.958132	+	0.958132i	0.0410258	+	0.999158i	$0.486937\pi$
$444$	29.5928	+	31.8851i	1.40441	+	1.51320i
$445$	3.69904	+	20.8488i	0.175352	+	0.988328i
$446$	−1.55505	−	0.678342i	−0.0736338	−	0.0321204i
$447$	−31.7835	−	31.7835i	−1.50331	−	1.50331i
$448$	−1.15951	+	10.3272i	−0.0547819	+	0.487916i
$449$		−	18.7329i		−	0.884062i	−0.897000	−	0.442031i	$-0.854258\pi$
$449$		−	18.7329i		−	0.884062i	0.897000	−	0.442031i	$-0.145742\pi$
$450$	−37.2092	+	32.9825i	−1.75406	+	1.55481i
$451$		−	6.78274i		−	0.319387i
$452$	10.2592	+	0.382533i	0.482551	+	0.0179929i
$453$	−10.0108	−	10.0108i	−0.470350	−	0.470350i
$454$	−7.46126	+	17.1044i	−0.350174	+	0.802751i
$455$	0.507432	+	2.86002i	0.0237888	+	0.134080i
$456$	17.9220	−	6.27511i	0.839275	−	0.293859i
$457$	−0.912019	+	0.912019i	−0.0426624	+	0.0426624i	−0.728116	−	0.685454i	$-0.759604\pi$
$457$	−0.912019	+	0.912019i	−0.0426624	+	0.0426624i	0.685454	+	0.728116i	$0.259604\pi$
$458$	1.28830	−	0.505718i	0.0601984	−	0.0236307i
$459$	−32.9755			−1.53916
$460$	−4.26250	−	30.6182i	−0.198740	−	1.42758i
$461$	−13.6853			−0.637387			−0.318693	−	0.947858i	$-0.603244\pi$
$461$	−13.6853			−0.637387			−0.318693	+	0.947858i	$0.603244\pi$
$462$	20.8263	−	8.17530i	0.968929	−	0.380349i
$463$	−2.10470	+	2.10470i	−0.0978137	+	0.0978137i	−0.754320	−	0.656507i	$-0.772033\pi$
$463$	−2.10470	+	2.10470i	−0.0978137	+	0.0978137i	0.656507	+	0.754320i	$0.272033\pi$
$464$	−33.5266	−	2.50369i	−1.55643	−	0.116231i
$465$	12.2541	+	8.56106i	0.568272	+	0.397010i
$466$	7.96190	−	18.2521i	0.368828	−	0.845513i
$467$	28.5364	+	28.5364i	1.32051	+	1.32051i	0.913365	+	0.407143i	$0.133475\pi$
$467$	28.5364	+	28.5364i	1.32051	+	1.32051i	0.407143	+	0.913365i	$0.366525\pi$
$468$	0.524032	−	14.0540i	0.0242234	−	0.649647i
$469$			3.33113i			0.153817i
$470$	7.10799	−	29.5914i	0.327867	−	1.36495i
$471$			59.0597i			2.72133i
$472$	−21.0042	−	10.1100i	−0.966798	−	0.465353i
$473$	3.76906	+	3.76906i	0.173302	+	0.173302i
$474$	18.1430	+	7.91430i	0.833335	+	0.363516i
$475$	−9.95132	+	3.64594i	−0.456598	+	0.167287i
$476$	4.91720	−	4.56369i	0.225379	−	0.209176i
$477$	−20.1282	+	20.1282i	−0.921607	+	0.921607i
$478$	4.12879	+	10.5180i	0.188846	+	0.481081i
$479$	−19.8088			−0.905086			−0.452543	−	0.891743i	$-0.649483\pi$
$479$	−19.8088			−0.905086			−0.452543	+	0.891743i	$0.649483\pi$
$480$	−12.2324	+	38.1506i	−0.558330	+	1.74133i
$481$	6.86727			0.313121
$482$	−8.78536	−	22.3804i	−0.400162	−	1.01940i
$483$	−20.1105	+	20.1105i	−0.915061	+	0.915061i
$484$	5.54872	−	5.14981i	0.252215	−	0.234082i
$485$	−4.22692	+	6.05034i	−0.191935	+	0.274732i
$486$	−29.7911	−	12.9954i	−1.35135	−	0.589484i
$487$	−9.20752	−	9.20752i	−0.417232	−	0.417232i	0.467016	−	0.884249i	$-0.345329\pi$
$487$	−9.20752	−	9.20752i	−0.417232	−	0.417232i	−0.884249	+	0.467016i	$0.845329\pi$
$488$	7.51130	+	3.61544i	0.340020	+	0.163663i
$489$			55.2261i			2.49741i
$490$	14.3252	−	8.77615i	0.647147	−	0.396466i
$491$		−	23.5043i		−	1.06073i	−0.847768	−	0.530367i	$-0.822054\pi$
$491$		−	23.5043i		−	1.06073i	0.847768	−	0.530367i	$-0.177946\pi$
$492$	0.416360	−	11.1664i	0.0187710	−	0.503419i
$493$	15.3466	+	15.3466i	0.691178	+	0.691178i
$494$	1.19855	−	2.74758i	0.0539251	−	0.123620i
$495$	59.5305	−	10.5620i	2.67570	−	0.474729i
$496$	8.41922	+	0.628729i	0.378034	+	0.0282307i
$497$	−3.31138	+	3.31138i	−0.148536	+	0.148536i
$498$	24.8114	−	9.73963i	1.11183	−	0.436443i
$499$	−22.4244			−1.00386			−0.501928	−	0.864910i	$-0.667376\pi$
$499$	−22.4244			−1.00386			−0.501928	+	0.864910i	$0.667376\pi$
$500$	6.52002	−	21.3890i	0.291584	−	0.956545i
$501$	−19.3784			−0.865764
$502$	−2.39838	+	0.941476i	−0.107045	+	0.0420201i
$503$	24.2077	−	24.2077i	1.07937	−	1.07937i	0.0828029	−	0.996566i	$-0.473613\pi$
$503$	24.2077	−	24.2077i	1.07937	−	1.07937i	0.996566	−	0.0828029i	$-0.0263872\pi$
$504$	24.3848	−	8.53797i	1.08619	−	0.380312i
$505$	−8.14949	+	1.44590i	−0.362647	+	0.0643418i
$506$	−15.0293	+	34.4536i	−0.668133	+	1.53165i
$507$	−2.23963	−	2.23963i	−0.0994655	−	0.0994655i
$508$	12.8276	+	0.478304i	0.569135	+	0.0212213i
$509$		−	42.3216i		−	1.87587i	−0.346808	−	0.937936i	$-0.612734\pi$
$509$		−	42.3216i		−	1.87587i	0.346808	−	0.937936i	$-0.387266\pi$
$510$	22.0536	−	13.5109i	0.976551	−	0.598271i
$511$		−	21.2330i		−	0.939293i
$512$	5.04800	+	22.0571i	0.223092	+	0.974797i
$513$	−19.1402	−	19.1402i	−0.845061	−	0.845061i
$514$	31.3731	+	13.6855i	1.38381	+	0.603643i
$515$	21.4291	−	30.6732i	0.944278	−	1.35162i
$516$	5.97362	+	6.43635i	0.262974	+	0.283344i
$517$	−26.1664	+	26.1664i	−1.15080	+	1.15080i
$518$	4.60982	+	11.7434i	0.202544	+	0.515975i
$519$	−35.6834			−1.56633
$520$	3.10069	+	5.51233i	0.135974	+	0.241732i
$521$	−13.0136			−0.570136			−0.285068	−	0.958507i	$-0.592016\pi$
$521$	−13.0136			−0.570136			−0.285068	+	0.958507i	$0.592016\pi$
$522$	30.5418	+	77.8043i	1.33678	+	3.40540i
$523$	24.0226	−	24.0226i	1.05043	−	1.05043i	0.0517748	−	0.998659i	$-0.483512\pi$
$523$	24.0226	−	24.0226i	1.05043	−	1.05043i	0.998659	−	0.0517748i	$-0.0164878\pi$
$524$	23.5824	+	25.4092i	1.03020	+	1.11000i
$525$	−19.3163	+	7.07708i	−0.843034	+	0.308869i
$526$	10.6399	+	4.64131i	0.463921	+	0.202371i
$527$	−3.85386	−	3.85386i	−0.167877	−	0.167877i
$528$	36.9164	−	31.7859i	1.60658	−	1.38330i
$529$		−	24.7822i		−	1.07749i
$530$	2.98985	−	12.4471i	0.129871	−	0.540666i
$531$			57.9539i			2.51499i
$532$	5.50306	+	0.205192i	0.238588	+	0.00889622i
$533$	−1.24732	−	1.24732i	−0.0540274	−	0.0540274i
$534$	16.9594	−	38.8783i	0.733905	−	1.68243i
$535$	13.5349	+	9.45580i	0.585163	+	0.408810i
$536$	2.39687	+	6.84559i	0.103529	+	0.295684i
$537$	−26.5654	+	26.5654i	−1.14638	+	1.14638i
$538$	−3.03423	+	1.19108i	−0.130815	+	0.0513509i
$539$	−20.4275			−0.879877
$540$	56.5649	−	7.87465i	2.43416	−	0.338871i
$541$	27.8612			1.19785			0.598923	−	0.800807i	$-0.295596\pi$
$541$	27.8612			1.19785			0.598923	+	0.800807i	$0.295596\pi$
$542$	22.6233	−	8.88069i	0.971754	−	0.381458i
$543$	−4.76366	+	4.76366i	−0.204428	+	0.204428i
$544$	6.82127	−	12.9166i	0.292459	−	0.553797i
$545$	−3.50649	−	19.7635i	−0.150202	−	0.846576i
$546$	2.32648	−	5.33329i	0.0995640	−	0.228244i
$547$	−15.6942	−	15.6942i	−0.671038	−	0.671038i	0.286918	−	0.957955i	$-0.407369\pi$
$547$	−15.6942	−	15.6942i	−0.671038	−	0.671038i	−0.957955	+	0.286918i	$0.907369\pi$
$548$	0.565730	−	15.1723i	0.0241668	−	0.648129i
$549$		−	20.7249i		−	0.884515i
$550$	−20.3466	+	18.0353i	−0.867580	+	0.769030i
$551$			17.8155i			0.758967i
$552$	−26.8576	+	55.7982i	−1.14313	+	2.37493i
$553$	4.05908	+	4.05908i	0.172610	+	0.172610i
$554$	−3.10183	−	1.35308i	−0.131784	−	0.0574867i
$555$	8.49648	+	47.8884i	0.360655	+	2.03275i
$556$	24.3370	−	22.5873i	1.03212	−	0.957916i
$557$	−26.1672	+	26.1672i	−1.10874	+	1.10874i	−0.115422	+	0.993317i	$0.536822\pi$
$557$	−26.1672	+	26.1672i	−1.10874	+	1.10874i	−0.993317	+	0.115422i	$0.963178\pi$
$558$	−7.66968	−	19.5383i	−0.324683	−	0.827121i
$559$	1.38623			0.0586314
$560$	−7.34495	+	9.00261i	−0.310381	+	0.380430i
$561$	−31.4482			−1.32774
$562$	6.57072	+	16.7387i	0.277169	+	0.706080i
$563$	−27.4350	+	27.4350i	−1.15625	+	1.15625i	−0.170971	+	0.985276i	$0.554690\pi$
$563$	−27.4350	+	27.4350i	−1.15625	+	1.15625i	−0.985276	+	0.170971i	$0.945310\pi$
$564$	−44.6837	+	41.4713i	−1.88152	+	1.74626i
$565$	9.40927	+	6.57356i	0.395851	+	0.276552i
$566$	−22.8743	−	9.97818i	−0.961478	−	0.419414i
$567$	−17.7755	−	17.7755i	−0.746499	−	0.746499i
$568$	−4.42233	+	9.18766i	−0.185557	+	0.385506i
$569$			9.90886i			0.415401i	0.978192	+	0.207701i	$0.0665980\pi$
$569$			9.90886i			0.415401i	−0.978192	+	0.207701i	$0.933402\pi$
$570$	20.6430	+	4.95854i	0.864639	+	0.207691i
$571$			23.0063i			0.962784i	0.876505	+	0.481392i	$0.159869\pi$
$571$			23.0063i			0.962784i	−0.876505	+	0.481392i	$0.840131\pi$
$572$	0.286548	−	7.68495i	0.0119812	−	0.321324i
$573$	−40.4257	−	40.4257i	−1.68881	−	1.68881i
$574$	1.29569	−	2.97027i	0.0540809	−	0.123977i
$575$	14.5401	−	31.3551i	0.606364	−	1.30760i
$576$	43.9683	−	35.0917i	1.83201	−	1.46215i
$577$	14.0786	−	14.0786i	0.586101	−	0.586101i	−0.350472	−	0.936573i	$-0.613979\pi$
$577$	14.0786	−	14.0786i	0.586101	−	0.586101i	0.936573	+	0.350472i	$0.113979\pi$
$578$	13.6015	−	5.33923i	0.565749	−	0.222083i
$579$	70.2008			2.91745
$580$	−29.9898	−	22.6602i	−1.24526	−	0.940914i
$581$	7.73001			0.320695
$582$	13.7624	−	5.40237i	0.570469	−	0.223935i
$583$	−11.0064	+	11.0064i	−0.455839	+	0.455839i
$584$	−15.2780	−	43.6346i	−0.632207	−	1.80561i
$585$	9.00511	−	12.8897i	0.372315	−	0.532925i
$586$	−1.15723	+	2.65287i	−0.0478048	+	0.109589i
$587$	8.08122	+	8.08122i	0.333547	+	0.333547i	0.853932	−	0.520385i	$-0.174211\pi$
$587$	8.08122	+	8.08122i	0.333547	+	0.333547i	−0.520385	+	0.853932i	$0.674211\pi$
$588$	−33.6297	−	1.25395i	−1.38687	−	0.0517121i
$589$		−	4.47385i		−	0.184342i
$590$	−13.6148	−	22.2233i	−0.560513	−	0.914919i
$591$			13.7746i			0.566611i
$592$	17.9232	+	20.8161i	0.736637	+	0.855537i
$593$	9.04916	+	9.04916i	0.371605	+	0.371605i	0.868061	−	0.496457i	$-0.165366\pi$
$593$	9.04916	+	9.04916i	0.371605	+	0.371605i	−0.496457	+	0.868061i	$0.665366\pi$
$594$	−63.6505	−	27.7655i	−2.61161	−	1.13923i
$595$	7.38517	−	1.31029i	0.302762	−	0.0537168i
$596$	−19.3079	−	20.8035i	−0.790883	−	0.852146i
$597$	−18.2966	+	18.2966i	−0.748828	+	0.748828i
$598$	3.57206	+	9.09971i	0.146072	+	0.372115i
$599$	−9.45761			−0.386428			−0.193214	−	0.981157i	$-0.561891\pi$
$599$	−9.45761			−0.386428			−0.193214	+	0.981157i	$0.561891\pi$
$600$	−34.6035	+	28.4425i	−1.41268	+	1.16116i
$601$	36.3082			1.48104			0.740522	−	0.672032i	$-0.234578\pi$
$601$	36.3082			1.48104			0.740522	+	0.672032i	$0.234578\pi$
$602$	0.930542	+	2.37053i	0.0379260	+	0.0966155i
$603$	12.7507	−	12.7507i	0.519249	−	0.519249i
$604$	−6.08140	−	6.55248i	−0.247449	−	0.266617i
$605$	8.33366	−	1.47858i	0.338811	−	0.0601127i
$606$	15.1969	+	6.62918i	0.617333	+	0.269292i
$607$	−8.30758	−	8.30758i	−0.337194	−	0.337194i	0.518116	−	0.855310i	$-0.326634\pi$
$607$	−8.30758	−	8.30758i	−0.337194	−	0.337194i	−0.855310	+	0.518116i	$0.826634\pi$
$608$	11.4566	−	3.53799i	0.464628	−	0.143484i
$609$			34.5814i			1.40131i
$610$	4.86878	+	7.94725i	0.197131	+	0.321775i
$611$			9.62378i			0.389337i
$612$	−36.2904	−	1.35316i	−1.46695	−	0.0546982i
$613$	−0.566575	−	0.566575i	−0.0228838	−	0.0228838i	0.695572	−	0.718456i	$-0.255151\pi$
$613$	−0.566575	−	0.566575i	−0.0228838	−	0.0228838i	−0.718456	+	0.695572i	$0.755151\pi$
$614$	1.61846	−	3.71021i	0.0653157	−	0.149732i
$615$	7.15485	−	10.2413i	0.288512	−	0.412970i
$616$	13.3340	−	4.66869i	0.537242	−	0.188107i
$617$	32.2437	−	32.2437i	1.29808	−	1.29808i	0.368426	−	0.929657i	$-0.379897\pi$
$617$	32.2437	−	32.2437i	1.29808	−	1.29808i	0.929657	−	0.368426i	$-0.120103\pi$
$618$	−69.7706	+	27.3882i	−2.80659	+	1.10171i
$619$	−26.0469			−1.04691			−0.523457	−	0.852052i	$-0.675358\pi$
$619$	−26.0469			−1.04691			−0.523457	+	0.852052i	$0.675358\pi$
$620$	7.53107	+	5.69045i	0.302455	+	0.228534i
$621$	88.2740			3.54231
$622$	−28.9134	+	11.3498i	−1.15932	+	0.455087i
$623$	8.69813	−	8.69813i	0.348483	−	0.348483i
$624$	0.943485	−	12.6341i	0.0377696	−	0.505768i
$625$	19.0827	−	16.1509i	0.763306	−	0.646037i
$626$	7.43250	−	17.0385i	0.297062	−	0.680995i
$627$	−18.2537	−	18.2537i	−0.728982	−	0.728982i
$628$	−1.38958	+	37.2673i	−0.0554505	+	1.48713i
$629$		−	17.7327i		−	0.707050i
$630$	28.0870	+	6.74664i	1.11901	+	0.268793i
$631$		−	36.4532i		−	1.45118i	−0.688128	−	0.725589i	$-0.741567\pi$
$631$		−	36.4532i		−	1.45118i	0.688128	−	0.725589i	$-0.258433\pi$
$632$	11.2622	+	5.42089i	0.447987	+	0.215631i
$633$	42.4792	+	42.4792i	1.68840	+	1.68840i
$634$	44.9796	+	19.6209i	1.78637	+	0.779246i
$635$	11.7650	+	8.21931i	0.466879	+	0.326173i
$636$	−18.7954	+	17.4441i	−0.745286	+	0.691705i
$637$	−3.75655	+	3.75655i	−0.148840	+	0.148840i
$638$	16.7007	+	42.5446i	0.661188	+	1.68436i
$639$	25.3502			1.00284
$640$	−8.61641	+	23.7857i	−0.340593	+	0.940211i
$641$	40.5177			1.60035			0.800177	−	0.599764i	$-0.204739\pi$
$641$	40.5177			1.60035			0.800177	+	0.599764i	$0.204739\pi$
$642$	−12.0853	−	30.7870i	−0.476970	−	1.21507i
$643$	−0.831375	+	0.831375i	−0.0327862	+	0.0327862i	−0.723310	−	0.690524i	$-0.757380\pi$
$643$	−0.831375	+	0.831375i	−0.0327862	+	0.0327862i	0.690524	+	0.723310i	$0.257380\pi$
$644$	−13.1631	+	12.2168i	−0.518700	+	0.481409i
$645$	1.71510	+	9.66679i	0.0675322	+	0.380629i
$646$	−7.09483	−	3.09489i	−0.279142	−	0.121767i
$647$	18.6491	+	18.6491i	0.733170	+	0.733170i	0.971246	−	0.238076i	$-0.0765168\pi$
$647$	18.6491	+	18.6491i	0.733170	+	0.733170i	−0.238076	+	0.971246i	$0.576517\pi$
$648$	−49.3193	−	23.7391i	−1.93745	−	0.932559i
$649$			31.6901i			1.24394i
$650$	−0.425024	+	7.05828i	−0.0166708	+	0.276849i
$651$		−	8.68411i		−	0.340357i
$652$	−1.29939	+	34.8483i	−0.0508879	+	1.36476i
$653$	−13.4285	−	13.4285i	−0.525499	−	0.525499i	0.393728	−	0.919227i	$-0.371185\pi$
$653$	−13.4285	−	13.4285i	−0.525499	−	0.525499i	−0.919227	+	0.393728i	$0.871185\pi$
$654$	−16.0766	+	36.8545i	−0.628644	+	1.44112i
$655$	6.77082	+	38.1622i	0.264558	+	1.49112i
$656$	0.525456	−	7.03631i	0.0205156	−	0.274722i
$657$	−81.2745	+	81.2745i	−3.17082	+	3.17082i
$658$	−16.4572	+	6.46020i	−0.641567	+	0.251845i
$659$	14.8202			0.577314			0.288657	−	0.957433i	$-0.406791\pi$
$659$	14.8202			0.577314			0.288657	+	0.957433i	$0.406791\pi$
$660$	53.9449	−	7.50992i	2.09980	−	0.292323i
$661$	13.3113			0.517749			0.258874	−	0.965911i	$-0.416648\pi$
$661$	13.3113			0.517749			0.258874	+	0.965911i	$0.416648\pi$
$662$	11.4215	−	4.48348i	0.443910	−	0.174255i
$663$	−5.78319	+	5.78319i	−0.224601	+	0.224601i
$664$	15.8854	−	5.56204i	0.616474	−	0.215849i
$665$	5.04717	+	3.52608i	0.195721	+	0.136736i
$666$	27.3054	−	62.5959i	1.05806	−	2.42554i
$667$	−41.0823	−	41.0823i	−1.59071	−	1.59071i
$668$	−12.2280	−	0.455945i	−0.473115	−	0.0176410i
$669$			3.79968i			0.146904i
$670$	−1.89399	+	7.88490i	−0.0731713	+	0.304620i
$671$		−	11.3327i		−	0.437493i
$672$	22.2383	−	6.86752i	0.857860	−	0.264921i
$673$	−12.2894	−	12.2894i	−0.473722	−	0.473722i	0.429395	−	0.903117i	$-0.358727\pi$
$673$	−12.2894	−	12.2894i	−0.473722	−	0.473722i	−0.903117	+	0.429395i	$0.858727\pi$
$674$	9.79941	+	4.27468i	0.377459	+	0.164655i
$675$	57.9262	+	26.8617i	2.22958	+	1.03391i
$676$	−1.36054	−	1.46593i	−0.0523283	−	0.0563818i
$677$	13.2252	−	13.2252i	0.508286	−	0.508286i	−0.405714	−	0.914000i	$-0.632977\pi$
$677$	13.2252	−	13.2252i	0.508286	−	0.508286i	0.914000	+	0.405714i	$0.132977\pi$
$678$	−8.40158	−	21.4028i	−0.322661	−	0.821968i
$679$	4.28768			0.164546
$680$	14.2340	−	8.00661i	0.545848	−	0.307040i
$681$	41.7937			1.60154
$682$	−4.19389	−	10.6838i	−0.160593	−	0.409105i
$683$	2.26846	−	2.26846i	0.0868002	−	0.0868002i	−0.662374	−	0.749174i	$-0.730451\pi$
$683$	2.26846	−	2.26846i	0.0868002	−	0.0868002i	0.749174	+	0.662374i	$0.230451\pi$
$684$	−20.2789	−	21.8497i	−0.775382	−	0.835445i
$685$	9.72166	−	13.9154i	0.371446	−	0.531680i
$686$	−20.7325	−	9.04390i	−0.791571	−	0.345298i
$687$	−2.19179	−	2.19179i	−0.0836221	−	0.0836221i
$688$	3.61798	+	4.20196i	0.137934	+	0.160198i
$689$			4.04807i			0.154219i
$690$	−59.0367	+	36.1680i	−2.24749	+	1.37689i
$691$		−	27.3699i		−	1.04120i	−0.853800	−	0.520601i	$-0.825708\pi$
$691$		−	27.3699i		−	1.04120i	0.853800	−	0.520601i	$-0.174292\pi$
$692$	−22.5166	−	0.839576i	−0.855953	−	0.0319159i
$693$	−24.8361	−	24.8361i	−0.943447	−	0.943447i
$694$	−3.33388	+	7.64268i	−0.126552	+	0.290112i
$695$	36.5519	−	6.48512i	1.38649	−	0.245995i
$696$	24.8827	+	71.0660i	0.943175	+	2.69375i
$697$	−3.22084	+	3.22084i	−0.121998	+	0.121998i
$698$	3.05430	−	1.19896i	0.115607	−	0.0453811i
$699$	−44.5980			−1.68685
$700$	−12.3553	+	4.01123i	−0.466988	+	0.151610i
$701$	19.5520			0.738467			0.369234	−	0.929337i	$-0.379620\pi$
$701$	19.5520			0.738467			0.369234	+	0.929337i	$0.379620\pi$
$702$	−16.8110	+	6.59911i	−0.634492	+	0.249067i
$703$	10.2927	−	10.2927i	0.388198	−	0.388198i
$704$	24.0425	−	19.1887i	0.906137	−	0.723200i
$705$	−67.1108	+	11.9070i	−2.52754	+	0.448442i
$706$	−16.7186	+	38.3263i	−0.629214	+	1.44243i
$707$	3.39997	+	3.39997i	0.127869	+	0.127869i
$708$	−1.94531	+	52.1712i	−0.0731090	+	1.96071i
$709$		−	23.8454i		−	0.895532i	−0.894151	−	0.447766i	$-0.852220\pi$
$709$		−	23.8454i		−	0.895532i	0.894151	−	0.447766i	$-0.147780\pi$
$710$	−9.72091	+	5.95538i	−0.364819	+	0.223502i
$711$		−	31.0742i		−	1.16537i
$712$	11.6163	−	24.1336i	0.435340	−	0.904444i
$713$	10.3166	+	10.3166i	0.386360	+	0.386360i
$714$	−13.7717	−	6.00745i	−0.515391	−	0.224823i
$715$	4.92413	−	7.04831i	0.184152	−	0.263592i
$716$	−17.3881	+	16.1380i	−0.649824	+	0.603106i
$717$	17.8942	−	17.8942i	0.668273	−	0.668273i
$718$	0.957934	+	2.44031i	0.0357498	+	0.0910715i
$719$	15.9103			0.593354			0.296677	−	0.954978i	$-0.404122\pi$
$719$	15.9103			0.593354			0.296677	+	0.954978i	$0.404122\pi$
$720$	62.5743	−	6.34510i	2.33200	−	0.236468i
$721$	−21.7371			−0.809531
$722$	7.49665	+	19.0975i	0.278996	+	0.710735i
$723$	−38.0759	+	38.0759i	−1.41606	+	1.41606i
$724$	−3.11801	+	2.89384i	−0.115880	+	0.107549i
$725$	−14.4572	−	39.4599i	−0.536928	−	1.46550i
$726$	−15.5404	−	6.77899i	−0.576757	−	0.251592i
$727$	8.05611	+	8.05611i	0.298785	+	0.298785i	0.840538	−	0.541753i	$-0.182239\pi$
$727$	8.05611	+	8.05611i	0.298785	+	0.298785i	−0.541753	+	0.840538i	$0.682239\pi$
$728$	1.59352	−	3.31063i	0.0590597	−	0.122700i
$729$			14.7373i			0.545828i
$730$	12.0725	−	50.2593i	0.446825	−	1.86018i
$731$		−	3.57954i		−	0.132394i
$732$	0.695659	−	18.6569i	0.0257123	−	0.689578i
$733$	−1.51240	−	1.51240i	−0.0558618	−	0.0558618i	0.678624	−	0.734486i	$-0.262577\pi$
$733$	−1.51240	−	1.51240i	−0.0558618	−	0.0558618i	−0.734486	+	0.678624i	$0.762577\pi$
$734$	−1.84466	+	4.22876i	−0.0680877	+	0.156086i
$735$	−30.8438	−	21.5482i	−1.13769	−	0.794819i
$736$	−18.2603	+	34.5773i	−0.673082	+	1.27454i
$737$	6.97228	−	6.97228i	0.256827	−	0.256827i
$738$	−16.3290	+	6.40988i	−0.601079	+	0.235951i
$739$	3.38051			0.124354			0.0621771	−	0.998065i	$-0.480196\pi$
$739$	3.38051			0.124354			0.0621771	+	0.998065i	$0.480196\pi$
$740$	4.23463	+	30.4180i	0.155668	+	1.11819i
$741$	−6.71356			−0.246629
$742$	−6.92240	+	2.71736i	−0.254129	+	0.0997576i
$743$	−31.2491	+	31.2491i	−1.14642	+	1.14642i	−0.159167	+	0.987252i	$0.550881\pi$
$743$	−31.2491	+	31.2491i	−1.14642	+	1.14642i	−0.987252	+	0.159167i	$0.949119\pi$
$744$	−6.24855	−	17.8461i	−0.229083	−	0.654272i
$745$	−5.54355	−	31.2450i	−0.203100	−	1.14473i
$746$	19.1428	−	43.8836i	0.700869	−	1.60669i
$747$	−29.5885	−	29.5885i	−1.08259	−	1.08259i
$748$	−19.8441	−	0.739927i	−0.725573	−	0.0270544i
$749$		−	9.59171i		−	0.350473i
$750$	−49.7463	+	5.76893i	−1.81648	+	0.210652i
$751$		−	3.27690i		−	0.119576i	−0.998211	−	0.0597879i	$-0.980958\pi$
$751$		−	3.27690i		−	0.119576i	0.998211	−	0.0597879i	$-0.0190424\pi$
$752$	−29.1717	+	25.1175i	−1.06378	+	0.915941i
$753$	4.08038	+	4.08038i	0.148697	+	0.148697i
$754$	10.8950	+	4.75258i	0.396772	+	0.173079i
$755$	−1.74605	−	9.84121i	−0.0635453	−	0.358158i
$756$	−22.5696	−	24.3179i	−0.820850	−	0.884435i
$757$	31.9796	−	31.9796i	1.16232	−	1.16232i	0.178353	−	0.983967i	$-0.442923\pi$
$757$	31.9796	−	31.9796i	1.16232	−	1.16232i	0.983967	−	0.178353i	$-0.0570768\pi$
$758$	−10.4481	−	26.6161i	−0.379491	−	0.966741i
$759$	84.1854			3.05574
$760$	12.9093	+	3.61459i	0.468268	+	0.131115i
$761$	28.7698			1.04290			0.521451	−	0.853281i	$-0.325391\pi$
$761$	28.7698			1.04290			0.521451	+	0.853281i	$0.325391\pi$
$762$	−10.5050	−	26.7611i	−0.380555	−	0.969454i
$763$	−8.24534	+	8.24534i	−0.298501	+	0.298501i
$764$	−24.5579	−	26.4602i	−0.888475	−	0.957298i
$765$	−33.2840	−	23.2531i	−1.20339	−	0.840716i
$766$	6.19804	+	2.70370i	0.223944	+	0.0976885i
$767$	5.82768	+	5.82768i	0.210425	+	0.210425i
$768$	40.7590	−	30.1143i	1.47076	−	1.08666i
$769$			17.7747i			0.640972i	0.947253	+	0.320486i	$0.103846\pi$
$769$			17.7747i			0.640972i	−0.947253	+	0.320486i	$0.896154\pi$
$770$	15.3584	+	3.68916i	0.553478	+	0.132948i
$771$		−	76.6584i		−	2.76079i
$772$	44.2975	+	1.65172i	1.59430	+	0.0594467i
$773$	4.56344	+	4.56344i	0.164136	+	0.164136i	0.784396	−	0.620260i	$-0.212973\pi$
$773$	4.56344	+	4.56344i	0.164136	+	0.164136i	−0.620260	+	0.784396i	$0.712973\pi$
$774$	5.51190	−	12.6356i	0.198121	−	0.454179i
$775$	3.63051	+	9.90920i	0.130412	+	0.355949i
$776$	8.81132	−	3.08515i	0.316308	−	0.110750i
$777$	19.9791	−	19.9791i	0.716745	−	0.716745i
$778$	−4.28617	+	1.68252i	−0.153667	+	0.0603212i
$779$	−3.73899			−0.133963
$780$	8.53922	−	11.3013i	0.305753	−	0.404652i
$781$	13.8619			0.496017
$782$	23.4973	−	9.22379i	0.840263	−	0.329842i
$783$	75.8965	−	75.8965i	2.71232	−	2.71232i
$784$	−21.1912	−	1.58251i	−0.756830	−	0.0565183i
$785$	−23.8790	+	34.1800i	−0.852279	+	1.21994i
$786$	31.0429	−	71.1637i	1.10726	−	2.53833i
$787$	11.7845	+	11.7845i	0.420073	+	0.420073i	0.885229	−	0.465156i	$-0.154002\pi$
$787$	11.7845	+	11.7845i	0.420073	+	0.420073i	−0.465156	+	0.885229i	$0.654002\pi$
$788$	−0.324095	+	8.69192i	−0.0115454	+	0.309637i
$789$		−	25.9980i		−	0.925552i
$790$	7.30010	+	11.9159i	0.259726	+	0.423947i
$791$		−	6.66804i		−	0.237088i
$792$	−68.9097	−	33.1686i	−2.44860	−	1.17859i
$793$	−2.08403	−	2.08403i	−0.0740061	−	0.0740061i
$794$	−8.21470	−	3.58340i	−0.291529	−	0.127170i
$795$	−28.2289	+	5.00844i	−1.00118	+	0.177631i
$796$	−11.9758	+	11.1148i	−0.424472	+	0.393955i
$797$	31.4689	−	31.4689i	1.11469	−	1.11469i	0.122179	−	0.992508i	$-0.461012\pi$
$797$	31.4689	−	31.4689i	1.11469	−	1.11469i	0.992508	−	0.122179i	$-0.0389881\pi$
$798$	−4.50664	−	11.4805i	−0.159533	−	0.406407i
$799$	24.8506			0.879151
$800$	−22.5044	+	17.1334i	−0.795651	+	0.605755i
$801$	−66.5884			−2.35278
$802$	8.25628	+	21.0326i	0.291539	+	0.742688i
$803$	−44.4421	+	44.4421i	−1.56833	+	1.56833i
$804$	11.9064	−	11.0504i	0.419906	−	0.389718i
$805$	−19.7698	+	3.50760i	−0.696794	+	0.123627i
$806$	−2.73595	−	1.19347i	−0.0963699	−	0.0420383i
$807$	5.16215	+	5.16215i	0.181716	+	0.181716i
$808$	9.43346	+	4.54065i	0.331868	+	0.159739i
$809$		−	40.1623i		−	1.41203i	−0.708196	−	0.706016i	$-0.750491\pi$
$809$		−	40.1623i		−	1.41203i	0.708196	−	0.706016i	$-0.249509\pi$
$810$	−31.9685	−	52.1818i	−1.12326	−	1.83348i
$811$			26.5593i			0.932622i	0.884621	+	0.466311i	$0.154417\pi$
$811$			26.5593i			0.932622i	−0.884621	+	0.466311i	$0.845583\pi$
$812$	−0.813648	+	21.8213i	−0.0285535	+	0.765776i
$813$	−38.4891	−	38.4891i	−1.34987	−	1.34987i
$814$	14.9310	−	34.2284i	0.523332	−	1.19970i
$815$	−22.3290	+	31.9614i	−0.782152	+	1.11956i
$816$	−32.6238	−	2.43627i	−1.14206	−	0.0852867i
$817$	2.07770	−	2.07770i	0.0726895	−	0.0726895i
$818$	10.5774	−	4.15213i	0.369831	−	0.145176i
$819$	−9.13454			−0.319186
$820$	4.75575	−	6.29405i	0.166078	−	0.219798i
$821$	−12.2484			−0.427472			−0.213736	−	0.976891i	$-0.568563\pi$
$821$	−12.2484			−0.427472			−0.213736	+	0.976891i	$0.568563\pi$
$822$	−31.6526	+	12.4251i	−1.10401	+	0.433376i
$823$	−1.10742	+	1.10742i	−0.0386021	+	0.0386021i	−0.726144	−	0.687542i	$-0.758690\pi$
$823$	−1.10742	+	1.10742i	−0.0386021	+	0.0386021i	0.687542	+	0.726144i	$0.258690\pi$
$824$	−44.6704	+	15.6407i	−1.55617	+	0.544868i
$825$	55.2432	+	25.6176i	1.92332	+	0.891890i
$826$	−6.05366	+	13.8776i	−0.210634	+	0.482864i
$827$	−1.25920	−	1.25920i	−0.0437865	−	0.0437865i	0.684875	−	0.728661i	$-0.259857\pi$
$827$	−1.25920	−	1.25920i	−0.0437865	−	0.0437865i	−0.728661	+	0.684875i	$0.759857\pi$
$828$	97.1479	+	3.62235i	3.37612	+	0.125885i
$829$			36.0843i			1.25326i	0.779317	+	0.626630i	$0.215566\pi$
$829$			36.0843i			1.25326i	−0.779317	+	0.626630i	$0.784434\pi$
$830$	18.2972	+	4.39508i	0.635105	+	0.152555i
$831$			7.57915i			0.262918i
$832$	0.892610	−	7.95005i	0.0309457	−	0.275618i
$833$	9.70018	+	9.70018i	0.336091	+	0.336091i
$834$	−68.1609	−	29.7330i	−2.36022	−	1.02957i
$835$	−11.2150	−	7.83508i	−0.388111	−	0.271144i
$836$	−11.0888	−	11.9478i	−0.383514	−	0.413222i
$837$	−19.0592	+	19.0592i	−0.658782	+	0.658782i
$838$	5.23427	+	13.3341i	0.180815	+	0.460620i
$839$	10.5460			0.364087			0.182044	−	0.983290i	$-0.441729\pi$
$839$	10.5460			0.364087			0.182044	+	0.983290i	$0.441729\pi$
$840$	25.0580	+	7.01623i	0.864582	+	0.242083i
$841$	−41.6438			−1.43599
$842$	−3.30156	−	8.41062i	−0.113779	−	0.289849i
$843$	28.4776	−	28.4776i	0.980821	−	0.980821i
$844$	25.8054	+	27.8043i	0.888258	+	0.957064i
$845$	−0.390628	−	2.20168i	−0.0134380	−	0.0757402i
$846$	87.7217	+	38.2658i	3.01594	+	1.31561i
$847$	−3.47680	−	3.47680i	−0.119464	−	0.119464i
$848$	−12.2705	+	10.5652i	−0.421372	+	0.362811i
$849$			55.8920i			1.91821i
$850$	18.2260	+	1.09750i	0.625145	+	0.0376439i
$851$			47.4698i			1.62724i
$852$	22.8207	+	0.850915i	0.781824	+	0.0291519i
$853$	−24.0809	−	24.0809i	−0.824516	−	0.824516i	0.162236	−	0.986752i	$-0.448129\pi$
$853$	−24.0809	−	24.0809i	−0.824516	−	0.824516i	−0.986752	+	0.162236i	$0.948129\pi$
$854$	2.16484	−	4.96276i	0.0740795	−	0.169822i
$855$	−5.82233	−	32.8162i	−0.199120	−	1.12229i
$856$	−6.90160	−	19.7113i	−0.235892	−	0.673718i
$857$	14.8214	−	14.8214i	0.506290	−	0.506290i	−0.407096	−	0.913386i	$-0.633458\pi$
$857$	14.8214	−	14.8214i	0.506290	−	0.506290i	0.913386	+	0.407096i	$0.133458\pi$
$858$	−16.0324	+	6.29346i	−0.547337	+	0.214855i
$859$	17.3686			0.592610			0.296305	−	0.955093i	$-0.404245\pi$
$859$	17.3686			0.592610			0.296305	+	0.955093i	$0.404245\pi$
$860$	0.854805	+	6.14020i	0.0291486	+	0.209379i
$861$	−7.25769			−0.247341
$862$	27.0375	−	10.6135i	0.920900	−	0.361496i
$863$	−22.2917	+	22.2917i	−0.758819	+	0.758819i	−0.976107	−	0.217288i	$-0.930279\pi$
$863$	−22.2917	+	22.2917i	−0.758819	+	0.758819i	0.217288	+	0.976107i	$0.430279\pi$
$864$	−63.8791	−	33.7345i	−2.17321	−	1.14767i
$865$	−20.6513	−	14.4275i	−0.702164	−	0.490550i
$866$	−13.3557	+	30.6171i	−0.453847	+	1.04041i
$867$	−23.1403	−	23.1403i	−0.785886	−	0.785886i
$868$	0.204324	−	5.47977i	0.00693521	−	0.185995i
$869$		−	16.9918i		−	0.576409i
$870$	−19.6621	+	81.8554i	−0.666607	+	2.77516i
$871$		−	2.56435i		−	0.0868896i
$872$	−11.0116	+	22.8773i	−0.372901	+	0.774723i
$873$	−16.4121	−	16.4121i	−0.555466	−	0.555466i
$874$	18.9926	+	8.28490i	0.642433	+	0.280241i
$875$	−14.0405	−	3.71422i	−0.474654	−	0.125564i
$876$	−75.8929	+	70.4367i	−2.56418	+	2.37983i
$877$	19.8938	−	19.8938i	0.671766	−	0.671766i	−0.286357	−	0.958123i	$-0.592444\pi$
$877$	19.8938	−	19.8938i	0.671766	−	0.671766i	0.958123	+	0.286357i	$0.0924443\pi$
$878$	−13.9397	−	35.5111i	−0.470444	−	1.19844i
$879$	6.48215			0.218637
$880$	34.2165	−	3.46960i	1.15344	−	0.116960i
$881$	−54.9836			−1.85244			−0.926222	−	0.376977i	$-0.876963\pi$
$881$	−54.9836			−1.85244			−0.926222	+	0.376977i	$0.876963\pi$
$882$	19.3046	+	49.1780i	0.650020	+	1.65591i
$883$	3.75066	−	3.75066i	0.126220	−	0.126220i	−0.641175	−	0.767395i	$-0.721553\pi$
$883$	3.75066	−	3.75066i	0.126220	−	0.126220i	0.767395	+	0.641175i	$0.221553\pi$
$884$	−3.78533	+	3.51319i	−0.127314	+	0.118161i
$885$	−33.4287	+	47.8492i	−1.12369	+	1.60843i
$886$	36.9685	+	16.1263i	1.24198	+	0.541774i
$887$	1.40851	+	1.40851i	0.0472932	+	0.0472932i	0.730358	−	0.683065i	$-0.239353\pi$
$887$	1.40851	+	1.40851i	0.0472932	+	0.0472932i	−0.683065	+	0.730358i	$0.739353\pi$
$888$	26.6820	−	55.4334i	0.895388	−	1.86022i
$889$		−	8.33745i		−	0.279629i
$890$	25.5343	−	15.6432i	0.855911	−	0.524363i
$891$			74.4105i			2.49284i
$892$	−0.0894007	+	2.39764i	−0.00299336	+	0.0802789i
$893$	14.4242	+	14.4242i	0.482688	+	0.482688i
$894$	−25.4161	+	58.2647i	−0.850042	+	1.94866i
$895$	−26.1153	+	4.63344i	−0.872939	+	0.154879i
$896$	14.1942	−	3.81025i	0.474194	−	0.127292i
$897$	15.4814	−	15.4814i	0.516908	−	0.516908i
$898$	−24.6604	+	9.68036i	−0.822929	+	0.323038i
$899$	17.7401			0.591666
$900$	62.6470	+	31.9391i	2.08823	+	1.06464i
$901$	10.4530			0.348238
$902$	−8.92894	+	3.50502i	−0.297301	+	0.116704i
$903$	4.03299	−	4.03299i	0.134209	−	0.134209i
$904$	−4.79791	−	13.7031i	−0.159576	−	0.455757i
$905$	−4.68295	+	0.830861i	−0.155667	+	0.0276187i
$906$	−8.00530	+	18.3516i	−0.265958	+	0.609692i
$907$	−2.56253	−	2.56253i	−0.0850874	−	0.0850874i	0.663282	−	0.748369i	$-0.269163\pi$
$907$	−2.56253	−	2.56253i	−0.0850874	−	0.0850874i	−0.748369	+	0.663282i	$0.769163\pi$
$908$	26.3723	+	0.983343i	0.875195	+	0.0326334i
$909$		−	26.0284i		−	0.863307i
$910$	3.50277	−	2.14593i	0.116116	−	0.0711368i
$911$			9.22555i			0.305656i	0.988253	+	0.152828i	$0.0488381\pi$
$911$			9.22555i			0.305656i	−0.988253	+	0.152828i	$0.951162\pi$
$912$	−17.5220	−	20.3502i	−0.580211	−	0.673862i
$913$	−16.1794	−	16.1794i	−0.535461	−	0.535461i
$914$	1.67189	+	0.729309i	0.0553012	+	0.0241234i
$915$	11.9544	−	17.1113i	0.395200	−	0.565682i
$916$	−1.33148	−	1.43461i	−0.0439932	−	0.0474010i
$917$	15.9213	−	15.9213i	0.525766	−	0.525766i
$918$	17.0403	+	43.4096i	0.562413	+	1.43273i
$919$	22.0203			0.726383			0.363191	−	0.931715i	$-0.381687\pi$
$919$	22.0203			0.726383			0.363191	+	0.931715i	$0.381687\pi$
$920$	−38.1038	+	21.4334i	−1.25624	+	0.706638i
$921$	−9.06568			−0.298724
$922$	7.07195	+	18.0156i	0.232902	+	0.593312i
$923$	2.54914	−	2.54914i	0.0839061	−	0.0839061i
$924$	−21.5243	−	23.1916i	−0.708097	−	0.762947i
$925$	−14.4450	+	31.1501i	−0.474950	+	1.02421i
$926$	3.85829	+	1.68305i	0.126791	+	0.0553086i
$927$	83.2039	+	83.2039i	2.73277	+	2.73277i
$928$	14.0292	+	45.4289i	0.460530	+	1.49128i
$929$			43.7617i			1.43578i	0.696159	+	0.717888i	$0.254891\pi$
$929$			43.7617i			1.43578i	−0.696159	+	0.717888i	$0.745109\pi$
$930$	4.93756	−	20.5556i	0.161909	−	0.674044i
$931$			11.2607i			0.369055i
$932$	−28.1418	−	1.04932i	−0.921816	−	0.0343717i
$933$	49.1904	+	49.1904i	1.61042	+	1.61042i
$934$	22.8196	−	52.3123i	0.746679	−	1.71171i
$935$	−18.2002	−	12.7151i	−0.595210	−	0.415829i
$936$	−18.7718	+	6.57265i	−0.613575	+	0.214834i
$937$	−32.3888	+	32.3888i	−1.05810	+	1.05810i	−0.0598906	+	0.998205i	$0.519075\pi$
$937$	−32.3888	+	32.3888i	−1.05810	+	1.05810i	−0.998205	+	0.0598906i	$0.980925\pi$
$938$	4.38517	−	1.72138i	0.143181	−	0.0562051i
$939$	−41.6326			−1.35863
$940$	−42.6278	+	5.93440i	−1.39036	+	0.193559i
$941$	−22.7847			−0.742760			−0.371380	−	0.928481i	$-0.621115\pi$
$941$	−22.7847			−0.742760			−0.371380	+	0.928481i	$0.621115\pi$
$942$	77.7474	−	30.5194i	2.53315	−	0.994377i
$943$	8.62205	−	8.62205i	0.280773	−	0.280773i
$944$	−2.45502	+	32.8748i	−0.0799040	+	1.06998i
$945$	−6.48004	−	36.5232i	−0.210796	−	1.18810i
$946$	3.01399	−	6.90936i	0.0979932	−	0.224643i
$947$	42.9277	+	42.9277i	1.39496	+	1.39496i	0.813752	+	0.581213i	$0.197422\pi$
$947$	42.9277	+	42.9277i	1.39496	+	1.39496i	0.581213	+	0.813752i	$0.302578\pi$
$948$	1.04305	−	27.9736i	0.0338767	−	0.908539i
$949$			16.3455i			0.530596i
$950$	9.94200	+	11.2161i	0.322561	+	0.363897i
$951$		−	109.905i		−	3.56391i
$952$	−8.54872	−	4.11479i	−0.277066	−	0.133361i
$953$	36.5000	+	36.5000i	1.18235	+	1.18235i	0.979134	+	0.203218i	$0.0651399\pi$
$953$	36.5000	+	36.5000i	1.18235	+	1.18235i	0.203218	+	0.979134i	$0.434860\pi$
$954$	36.8985	+	16.0958i	1.19463	+	0.521121i
$955$	−7.05091	−	39.7408i	−0.228162	−	1.28598i
$956$	11.7125	−	10.8704i	0.378809	−	0.351575i
$957$	72.3812	−	72.3812i	2.33975	−	2.33975i
$958$	10.2363	+	26.0767i	0.330720	+	0.842499i
$959$	−9.86139			−0.318441
$960$	56.5434	−	3.61158i	1.82493	−	0.116563i
$961$	26.5451			0.856293
$962$	−3.54870	−	9.04022i	−0.114415	−	0.291468i
$963$	−36.7146	+	36.7146i	−1.18311	+	1.18311i
$964$	−24.9222	+	23.1305i	−0.802690	+	0.744982i
$965$	40.6278	+	28.3836i	1.30785	+	0.913700i
$966$	36.8662	+	16.0817i	1.18615	+	0.517420i
$967$	−20.2300	−	20.2300i	−0.650551	−	0.650551i	0.302574	−	0.953126i	$-0.402154\pi$
$967$	−20.2300	−	20.2300i	−0.650551	−	0.650551i	−0.953126	+	0.302574i	$0.902154\pi$
$968$	−9.64665	−	4.64326i	−0.310055	−	0.149240i
$969$			17.3358i			0.556907i
$970$	10.1491	+	2.43786i	0.325867	+	0.0782750i
$971$		−	40.0097i		−	1.28397i	−0.766717	−	0.641986i	$-0.778111\pi$
$971$		−	40.0097i		−	1.28397i	0.766717	−	0.641986i	$-0.221889\pi$
$972$	−1.71270	+	45.9330i	−0.0549350	+	1.47330i
$973$	−15.2494	−	15.2494i	−0.488875	−	0.488875i
$974$	−7.36293	+	16.8790i	−0.235923	+	0.540838i
$975$	14.8700	−	5.44803i	0.476220	−	0.174477i
$976$	0.877936	−	11.7563i	0.0281021	−	0.376311i
$977$	−7.48988	+	7.48988i	−0.239623	+	0.239623i	−0.816694	−	0.577071i	$-0.804195\pi$
$977$	−7.48988	+	7.48988i	−0.239623	+	0.239623i	0.577071	+	0.816694i	$0.304195\pi$
$978$	72.7008	−	28.5384i	2.32471	−	0.912558i
$979$	−36.4115			−1.16372
$980$	−18.9558	−	14.3229i	−0.605519	−	0.457528i
$981$	63.1221			2.01533
$982$	−30.9416	+	12.1460i	−0.987385	+	0.387594i
$983$	36.2016	−	36.2016i	1.15465	−	1.15465i	0.169042	−	0.985609i	$-0.445933\pi$
$983$	36.2016	−	36.2016i	1.15465	−	1.15465i	0.985609	−	0.169042i	$-0.0540672\pi$
$984$	−14.9148	+	5.22219i	−0.475467	+	0.166477i
$985$	−5.56934	+	7.97185i	−0.177454	+	0.254004i
$986$	12.2722	−	28.1331i	0.390825	−	0.895940i
$987$	27.9986	+	27.9986i	0.891206	+	0.891206i
$988$	−4.23633	−	0.157960i	−0.134776	−	0.00502538i
$989$			9.58228i			0.304699i
$990$	−44.6668	−	72.9092i	−1.41961	−	2.31721i
$991$			45.2754i			1.43822i	0.694897	+	0.719110i	$0.255450\pi$
$991$			45.2754i			1.43822i	−0.694897	+	0.719110i	$0.744550\pi$
$992$	−3.52301	−	11.4081i	−0.111856	−	0.362209i
$993$	−19.4315	−	19.4315i	−0.616639	−	0.616639i
$994$	6.07034	+	2.64799i	0.192539	+	0.0839892i
$995$	−17.9866	+	3.19122i	−0.570212	+	0.101168i
$996$	−25.6429	−	27.6292i	−0.812526	−	0.875466i
$997$	−13.5950	+	13.5950i	−0.430558	+	0.430558i	−0.888818	−	0.458260i	$-0.848473\pi$
$997$	−13.5950	+	13.5950i	−0.430558	+	0.430558i	0.458260	+	0.888818i	$0.348473\pi$
$998$	11.5880	+	29.5200i	0.366810	+	0.934439i
$999$	−87.6969			−2.77461

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.13	yes	72
4.3	odd	2	inner	260.2.o.a.183.32	yes	72
5.2	odd	4	inner	260.2.o.a.27.32	yes	72
20.7	even	4	inner	260.2.o.a.27.13	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.13	✓	72	20.7	even	4	inner
260.2.o.a.27.32	yes	72	5.2	odd	4	inner
260.2.o.a.183.13	yes	72	1.1	even	1	trivial
260.2.o.a.183.32	yes	72	4.3	odd	2	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.516756 - 1.31642i) q^{2} +(-2.23963 + 2.23963i) q^{3} +(-1.46593 + 1.36054i) q^{4} +(-2.20168 + 0.390628i) q^{5} +(4.10564 + 1.79095i) q^{6} +(0.918543 + 0.918543i) q^{7} +(2.54856 + 1.22671i) q^{8} -7.03189i q^{9} +O(q^{10})\)	\(q+(-0.516756 - 1.31642i) q^{2} +(-2.23963 + 2.23963i) q^{3} +(-1.46593 + 1.36054i) q^{4} +(-2.20168 + 0.390628i) q^{5} +(4.10564 + 1.79095i) q^{6} +(0.918543 + 0.918543i) q^{7} +(2.54856 + 1.22671i) q^{8} -7.03189i q^{9} +(1.65196 + 2.69648i) q^{10} -3.84514i q^{11} +(0.236035 - 6.33023i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(0.734526 - 1.68385i) q^{14} +(4.05610 - 5.80582i) q^{15} +(0.297882 - 3.98889i) q^{16} +(-1.82590 + 1.82590i) q^{17} +(-9.25693 + 3.63377i) q^{18} -2.11964 q^{19} +(2.69604 - 3.56810i) q^{20} -4.11439 q^{21} +(-5.06183 + 1.98700i) q^{22} +(4.88785 - 4.88785i) q^{23} +(-8.45522 + 2.96046i) q^{24} +(4.69482 - 1.72008i) q^{25} +(-0.565448 + 1.29625i) q^{26} +(9.02994 + 9.02994i) q^{27} +(-2.59623 - 0.0968054i) q^{28} -8.40499i q^{29} +(-9.73891 - 2.33934i) q^{30} +2.11067i q^{31} +(-5.40499 + 1.66915i) q^{32} +(8.61170 + 8.61170i) q^{33} +(3.34719 + 1.46011i) q^{34} +(-2.38115 - 1.66353i) q^{35} +(9.56714 + 10.3082i) q^{36} +(-4.85589 + 4.85589i) q^{37} +(1.09534 + 2.79033i) q^{38} +3.16732 q^{39} +(-6.09032 - 1.70529i) q^{40} +1.76398 q^{41} +(2.12614 + 5.41627i) q^{42} +(-0.980214 + 0.980214i) q^{43} +(5.23146 + 5.63670i) q^{44} +(2.74685 + 15.4820i) q^{45} +(-8.96029 - 3.90864i) q^{46} +(-6.80504 - 6.80504i) q^{47} +(8.26650 + 9.60079i) q^{48} -5.31256i q^{49} +(-4.69042 - 5.29150i) q^{50} -8.17867i q^{51} +(1.99861 + 0.0745222i) q^{52} +(-2.86242 - 2.86242i) q^{53} +(7.22093 - 16.5535i) q^{54} +(1.50202 + 8.46579i) q^{55} +(1.21418 + 3.46775i) q^{56} +(4.74721 - 4.74721i) q^{57} +(-11.0645 + 4.34333i) q^{58} -8.24159 q^{59} +(1.95309 + 14.0294i) q^{60} +2.94727 q^{61} +(2.77852 - 1.09070i) q^{62} +(6.45909 - 6.45909i) q^{63} +(4.99036 + 6.25270i) q^{64} +(1.83304 + 1.28061i) q^{65} +(6.88647 - 15.7868i) q^{66} +(1.81327 + 1.81327i) q^{67} +(0.192432 - 5.16083i) q^{68} +21.8940i q^{69} +(-0.959435 + 3.99423i) q^{70} +3.60503i q^{71} +(8.62610 - 17.9212i) q^{72} +(-11.5580 - 11.5580i) q^{73} +(8.90171 + 3.88309i) q^{74} +(-6.66232 + 14.3670i) q^{75} +(3.10723 - 2.88384i) q^{76} +(3.53193 - 3.53193i) q^{77} +(-1.63673 - 4.16952i) q^{78} +4.41904 q^{79} +(0.902332 + 8.89864i) q^{80} -19.3518 q^{81} +(-0.911545 - 2.32213i) q^{82} +(4.20776 - 4.20776i) q^{83} +(6.03140 - 5.59778i) q^{84} +(3.30680 - 4.73329i) q^{85} +(1.79691 + 0.783843i) q^{86} +(18.8241 + 18.8241i) q^{87} +(4.71688 - 9.79960i) q^{88} -9.46948i q^{89} +(18.9614 - 11.6164i) q^{90} -1.29902i q^{91} +(-0.515132 + 13.8153i) q^{92} +(-4.72711 - 4.72711i) q^{93} +(-5.44175 + 12.4748i) q^{94} +(4.66677 - 0.827990i) q^{95} +(8.36692 - 15.8435i) q^{96} +(2.33396 - 2.33396i) q^{97} +(-6.99356 + 2.74530i) q^{98} -27.0386 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) 72 * q - 8 * q^6 - 12 * q^8	\( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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