LMFDB - Embedded newform 859.2.f.a.524.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [859,2,Mod(100,859)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(859, base_ring=CyclotomicField(26))

chi = DirichletCharacter(H, H._module([22]))

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

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

chi := DirichletCharacter("859.100");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$859$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	859.f (of order $13$ , degree $12$ , 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:	$6.85914953363$
Analytic rank:	$0$
Dimension:	$840$
Relative dimension:	$70$ over $\Q(\zeta_{13})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label			524.1
Character	$\chi$	$=$	859.524
Dual form			859.2.f.a.100.1

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.48316 - 1.30326i) q^{2} +(-0.107649 - 0.155957i) q^{3} +(3.33145 + 4.82644i) q^{4} +(0.315645 - 0.457291i) q^{5} +(0.0640574 + 0.527560i) q^{6} +(-0.162393 + 1.33743i) q^{7} +(-1.30634 - 10.7587i) q^{8} +(1.05108 - 2.77147i) q^{9} +(-1.37977 + 0.724157i) q^{10} +(0.445108 - 3.66580i) q^{11} +(0.394088 - 1.03912i) q^{12} +5.88536 q^{13} +(2.14626 - 3.10940i) q^{14} -0.105297 q^{15} +(-6.61833 + 17.4511i) q^{16} +(-0.137731 - 0.0339478i) q^{17} +(-6.22195 + 5.51217i) q^{18} -2.45468 q^{19} +3.25864 q^{20} +(0.226062 - 0.118646i) q^{21} +(-5.88277 + 8.52266i) q^{22} +(-0.885034 + 0.464502i) q^{23} +(-1.53726 + 1.36190i) q^{24} +(1.66354 + 4.38640i) q^{25} +(-14.6143 - 7.67016i) q^{26} +(-1.09736 + 0.270476i) q^{27} +(-6.99601 + 3.67179i) q^{28} +(0.189875 + 0.500659i) q^{29} +(0.261468 + 0.137229i) q^{30} +(-1.07134 + 0.949122i) q^{31} +(22.9534 - 20.3350i) q^{32} +(-0.619621 + 0.325202i) q^{33} +(0.297766 + 0.263798i) q^{34} +(0.560334 + 0.496413i) q^{35} +(16.8780 - 4.16004i) q^{36} +(4.13803 - 10.9111i) q^{37} +(6.09536 + 3.19909i) q^{38} +(-0.633554 - 0.917861i) q^{39} +(-5.33219 - 2.79855i) q^{40} +(5.05797 + 7.32774i) q^{41} -0.715975 q^{42} -5.45910 q^{43} +(19.1756 - 10.0641i) q^{44} +(-0.935601 - 1.35545i) q^{45} +2.80305 q^{46} +(-7.41265 - 6.56704i) q^{47} +(3.43408 - 0.846423i) q^{48} +(5.03426 + 1.24083i) q^{49} +(1.58579 - 13.0601i) q^{50} +(0.00953230 + 0.0251346i) q^{51} +(19.6068 + 28.4053i) q^{52} +(-8.74760 + 2.15609i) q^{53} +(3.07742 + 0.758517i) q^{54} +(-1.53584 - 1.36064i) q^{55} +14.6011 q^{56} +(0.264244 + 0.382824i) q^{57} +(0.181000 - 1.49067i) q^{58} +(5.53914 + 2.90716i) q^{59} +(-0.350790 - 0.508207i) q^{60} +9.22891 q^{61} +(3.89725 - 0.960587i) q^{62} +(3.53595 + 1.85581i) q^{63} +(-47.2555 + 11.6474i) q^{64} +(1.85768 - 2.69132i) q^{65} +1.96244 q^{66} +(3.88701 - 10.2492i) q^{67} +(-0.294999 - 0.777848i) q^{68} +(0.167715 + 0.0880238i) q^{69} +(-0.744443 - 1.96293i) q^{70} +(11.6561 - 2.87297i) q^{71} +(-31.1905 - 7.68776i) q^{72} +(-1.79871 - 14.8137i) q^{73} +(-24.4954 + 21.7010i) q^{74} +(0.505009 - 0.731632i) q^{75} +(-8.17765 - 11.8474i) q^{76} +(4.83045 + 1.19060i) q^{77} +(0.377001 + 3.10488i) q^{78} +(-5.67316 - 8.21899i) q^{79} +(5.89119 + 8.53486i) q^{80} +(-6.49565 - 5.75464i) q^{81} +(-3.00978 - 24.7878i) q^{82} +(1.28301 - 10.5665i) q^{83} +(1.32575 + 0.695810i) q^{84} +(-0.0589983 + 0.0522679i) q^{85} +(13.5558 + 7.11464i) q^{86} +(0.0576412 - 0.0835078i) q^{87} -40.0206 q^{88} +(-11.1238 + 2.74178i) q^{89} +(0.556736 + 4.58513i) q^{90} +(-0.955740 + 7.87123i) q^{91} +(-5.19034 - 2.72410i) q^{92} +(0.263351 + 0.0649101i) q^{93} +(9.84822 + 25.9676i) q^{94} +(-0.774808 + 1.12250i) q^{95} +(-5.64229 - 1.39070i) q^{96} +(6.91023 + 1.70322i) q^{97} +(-10.8837 - 9.64214i) q^{98} +(-9.69181 - 5.08665i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$840 q - 10 q^{2} - 5 q^{3} - 74 q^{4} - 20 q^{5} + 5 q^{6} - 3 q^{7} + 2 q^{8} - 69 q^{9} + 7 q^{10} - 25 q^{11} - 58 q^{12} - 10 q^{13} + 9 q^{14} - 148 q^{15} - 40 q^{16} - q^{17} + 5 q^{18} - 38 q^{19}+ \cdots - 121 q^{99}+O(q^{100})$ 840 * q - 10 * q^2 - 5 * q^3 - 74 * q^4 - 20 * q^5 + 5 * q^6 - 3 * q^7 + 2 * q^8 - 69 * q^9 + 7 * q^10 - 25 * q^11 - 58 * q^12 - 10 * q^13 + 9 * q^14 - 148 * q^15 - 40 * q^16 - q^17 + 5 * q^18 - 38 * q^19 - 92 * q^20 + 17 * q^21 + 15 * q^22 - 18 * q^23 + 27 * q^24 - 66 * q^25 + 7 * q^26 - 17 * q^27 + 29 * q^28 + 7 * q^29 - 5 * q^30 + 27 * q^31 + 20 * q^32 + 49 * q^33 + 5 * q^34 + 43 * q^35 + 32 * q^36 - 86 * q^37 - 13 * q^38 + 2 * q^39 + 59 * q^40 + 9 * q^41 + 72 * q^42 + 40 * q^43 + 44 * q^44 - 49 * q^45 + 52 * q^46 - 22 * q^47 + 159 * q^48 - 11 * q^49 - 73 * q^50 + 65 * q^51 + 73 * q^52 + 25 * q^53 + 11 * q^54 + 81 * q^55 - 302 * q^56 - 192 * q^57 + 27 * q^58 - 23 * q^59 - 62 * q^60 + 26 * q^61 + 79 * q^62 + 93 * q^63 - 78 * q^64 + 10 * q^65 + 74 * q^66 + 65 * q^67 + 69 * q^68 - 57 * q^69 + 19 * q^70 + 21 * q^71 - 234 * q^72 - 95 * q^73 + 25 * q^74 - 120 * q^75 - 18 * q^76 - 95 * q^77 - 3 * q^78 - 13 * q^79 - 244 * q^80 - 95 * q^81 - 19 * q^82 - 16 * q^83 - 48 * q^84 + 99 * q^85 + 45 * q^86 - 123 * q^87 + 110 * q^88 + 49 * q^89 + 217 * q^90 - 82 * q^91 + 3 * q^92 - 57 * q^93 - 77 * q^94 - 12 * q^95 + 56 * q^96 + 5 * q^97 + 5 * q^98 - 121 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/859\mathbb{Z}\right)^\times$ .

$n$	$2$
$\chi(n)$	$e\left(\frac{2}{13}\right)$

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

)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$\alpha_n$			$\theta_n$
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$\alpha_p$			$\theta_p$

$2$	−2.48316	−	1.30326i	−1.75586	−	0.921545i	−0.938396	−	0.345562i	$-0.887688\pi$
$2$	−2.48316	−	1.30326i	−1.75586	−	0.921545i	−0.817462	−	0.575983i	$-0.804619\pi$
$3$	−0.107649	−	0.155957i	−0.0621513	−	0.0900416i	0.790676	−	0.612235i	$-0.209729\pi$
$3$	−0.107649	−	0.155957i	−0.0621513	−	0.0900416i	−0.852827	+	0.522193i	$0.825114\pi$
$4$	3.33145	+	4.82644i	1.66573	+	2.41322i
$5$	0.315645	−	0.457291i	0.141161	−	0.204507i	−0.746026	−	0.665916i	$-0.768041\pi$
$5$	0.315645	−	0.457291i	0.141161	−	0.204507i	0.887187	+	0.461410i	$0.152656\pi$
$6$	0.0640574	+	0.527560i	0.0261513	+	0.215375i
$7$	−0.162393	+	1.33743i	−0.0613787	+	0.505499i	0.929305	+	0.369314i	$0.120407\pi$
$7$	−0.162393	+	1.33743i	−0.0613787	+	0.505499i	−0.990683	+	0.136185i	$0.956516\pi$
$8$	−1.30634	−	10.7587i	−0.461862	−	3.80377i
$9$	1.05108	−	2.77147i	0.350360	−	0.923824i
$10$	−1.37977	+	0.724157i	−0.436321	+	0.228999i
$11$	0.445108	−	3.66580i	0.134205	−	1.10528i	−0.757555	−	0.652771i	$-0.773606\pi$
$11$	0.445108	−	3.66580i	0.134205	−	1.10528i	0.891760	−	0.452508i	$-0.149471\pi$
$12$	0.394088	−	1.03912i	0.113763	−	0.299969i
$13$	5.88536			1.63230			0.816152	−	0.577837i	$-0.196103\pi$
$13$	5.88536			1.63230			0.816152	+	0.577837i	$0.196103\pi$
$14$	2.14626	−	3.10940i	0.573613	−	0.831022i
$15$	−0.105297			−0.0271875
$16$	−6.61833	+	17.4511i	−1.65458	+	4.36278i
$17$	−0.137731	−	0.0339478i	−0.0334048	−	0.00823354i	0.222578	−	0.974915i	$-0.428553\pi$
$17$	−0.137731	−	0.0339478i	−0.0334048	−	0.00823354i	−0.255983	+	0.966681i	$0.582399\pi$
$18$	−6.22195	+	5.51217i	−1.46653	+	1.29923i
$19$	−2.45468			−0.563142			−0.281571	−	0.959540i	$-0.590856\pi$
$19$	−2.45468			−0.563142			−0.281571	+	0.959540i	$0.590856\pi$
$20$	3.25864			0.728655
$21$	0.226062	−	0.118646i	0.0493308	−	0.0258908i
$22$	−5.88277	+	8.52266i	−1.25421	+	1.81704i
$23$	−0.885034	+	0.464502i	−0.184542	+	0.0968553i	−0.554464	−	0.832208i	$-0.687077\pi$
$23$	−0.885034	+	0.464502i	−0.184542	+	0.0968553i	0.369922	+	0.929063i	$0.379384\pi$
$24$	−1.53726	+	1.36190i	−0.313793	+	0.277996i
$25$	1.66354	+	4.38640i	0.332708	+	0.877280i
$26$	−14.6143	−	7.67016i	−2.86609	−	1.50424i
$27$	−1.09736	+	0.270476i	−0.211187	+	0.0520530i
$28$	−6.99601	+	3.67179i	−1.32212	+	0.693903i
$29$	0.189875	+	0.500659i	0.0352589	+	0.0929700i	0.951489	−	0.307681i	$-0.0995531\pi$
$29$	0.189875	+	0.500659i	0.0352589	+	0.0929700i	−0.916231	+	0.400651i	$0.868784\pi$
$30$	0.261468	+	0.137229i	0.0477373	+	0.0250545i
$31$	−1.07134	+	0.949122i	−0.192418	+	0.170467i	−0.753831	−	0.657068i	$-0.771796\pi$
$31$	−1.07134	+	0.949122i	−0.192418	+	0.170467i	0.561413	+	0.827536i	$0.310258\pi$
$32$	22.9534	−	20.3350i	4.05763	−	3.59475i
$33$	−0.619621	+	0.325202i	−0.107862	+	0.0566104i
$34$	0.297766	+	0.263798i	0.0510665	+	0.0452410i
$35$	0.560334	+	0.496413i	0.0947138	+	0.0839091i
$36$	16.8780	−	4.16004i	2.81299	−	0.693341i
$37$	4.13803	−	10.9111i	0.680289	−	1.79377i	0.0758545	−	0.997119i	$-0.475832\pi$
$37$	4.13803	−	10.9111i	0.680289	−	1.79377i	0.604434	−	0.796655i	$-0.293399\pi$
$38$	6.09536	+	3.19909i	0.988798	+	0.518961i
$39$	−0.633554	−	0.917861i	−0.101450	−	0.146975i
$40$	−5.33219	−	2.79855i	−0.843094	−	0.442490i
$41$	5.05797	+	7.32774i	0.789923	+	1.14440i	0.986476	+	0.163907i	$0.0524098\pi$
$41$	5.05797	+	7.32774i	0.789923	+	1.14440i	−0.196553	+	0.980493i	$0.562975\pi$
$42$	−0.715975			−0.110477
$43$	−5.45910			−0.832505			−0.416253	−	0.909249i	$-0.636657\pi$
$43$	−5.45910			−0.832505			−0.416253	+	0.909249i	$0.636657\pi$
$44$	19.1756	−	10.0641i	2.89083	−	1.51723i
$45$	−0.935601	−	1.35545i	−0.139471	−	0.202059i
$46$	2.80305			0.413286
$47$	−7.41265	−	6.56704i	−1.08125	−	0.957901i	−0.0819972	−	0.996633i	$-0.526130\pi$
$47$	−7.41265	−	6.56704i	−1.08125	−	0.957901i	−0.999250	+	0.0387315i	$0.987668\pi$
$48$	3.43408	−	0.846423i	0.495666	−	0.122171i
$49$	5.03426	+	1.24083i	0.719179	+	0.177262i
$50$	1.58579	−	13.0601i	0.224264	−	1.84698i
$51$	0.00953230	+	0.0251346i	0.00133479	+	0.00351955i
$52$	19.6068	+	28.4053i	2.71897	+	3.93911i
$53$	−8.74760	+	2.15609i	−1.20158	+	0.296162i	−0.788788	−	0.614666i	$-0.789291\pi$
$53$	−8.74760	+	2.15609i	−1.20158	+	0.296162i	−0.412788	+	0.910827i	$0.635445\pi$
$54$	3.07742	+	0.758517i	0.418784	+	0.103221i
$55$	−1.53584	−	1.36064i	−0.207093	−	0.183468i
$56$	14.6011			1.95115
$57$	0.264244	+	0.382824i	0.0350000	+	0.0507063i
$58$	0.181000	−	1.49067i	0.0237665	−	0.195735i
$59$	5.53914	+	2.90716i	0.721134	+	0.378480i	0.785015	−	0.619477i	$-0.212655\pi$
$59$	5.53914	+	2.90716i	0.721134	+	0.378480i	−0.0638805	+	0.997958i	$0.520348\pi$
$60$	−0.350790	−	0.508207i	−0.0452868	−	0.0656093i
$61$	9.22891			1.18164			0.590821	−	0.806803i	$-0.298804\pi$
$61$	9.22891			1.18164			0.590821	+	0.806803i	$0.298804\pi$
$62$	3.89725	−	0.960587i	0.494952	−	0.121995i
$63$	3.53595	+	1.85581i	0.445488	+	0.233810i
$64$	−47.2555	+	11.6474i	−5.90694	+	1.45593i
$65$	1.85768	−	2.69132i	0.230417	−	0.333817i
$66$	1.96244			0.241560
$67$	3.88701	−	10.2492i	0.474873	−	1.25214i	−0.457036	−	0.889448i	$-0.651089\pi$
$67$	3.88701	−	10.2492i	0.474873	−	1.25214i	0.931910	−	0.362690i	$-0.118142\pi$
$68$	−0.294999	−	0.777848i	−0.0357739	−	0.0943279i
$69$	0.167715	+	0.0880238i	0.0201905	+	0.0105968i
$70$	−0.744443	−	1.96293i	−0.0889779	−	0.234615i
$71$	11.6561	−	2.87297i	1.38332	−	0.340959i	0.523707	−	0.851899i	$-0.324549\pi$
$71$	11.6561	−	2.87297i	1.38332	−	0.340959i	0.859616	+	0.510940i	$0.170703\pi$
$72$	−31.1905	−	7.68776i	−3.67583	−	0.906011i
$73$	−1.79871	−	14.8137i	−0.210523	−	1.73382i	−0.588936	−	0.808180i	$-0.700453\pi$
$73$	−1.79871	−	14.8137i	−0.210523	−	1.73382i	0.378412	−	0.925637i	$-0.376470\pi$
$74$	−24.4954	+	21.7010i	−2.84753	+	2.52269i
$75$	0.505009	−	0.731632i	0.0583135	−	0.0844816i
$76$	−8.17765	−	11.8474i	−0.938041	−	1.35899i
$77$	4.83045	+	1.19060i	0.550481	+	0.135681i
$78$	0.377001	+	3.10488i	0.0426869	+	0.351558i
$79$	−5.67316	−	8.21899i	−0.638281	−	0.924709i	0.361691	−	0.932298i	$-0.382200\pi$
$79$	−5.67316	−	8.21899i	−0.638281	−	0.924709i	−0.999971	+	0.00758906i	$0.997584\pi$
$80$	5.89119	+	8.53486i	0.658655	+	0.954227i
$81$	−6.49565	−	5.75464i	−0.721738	−	0.639404i
$82$	−3.00978	−	24.7878i	−0.332375	−	2.73735i
$83$	1.28301	−	10.5665i	0.140828	−	1.15982i	−0.735299	−	0.677743i	$-0.762958\pi$
$83$	1.28301	−	10.5665i	0.140828	−	1.15982i	0.876127	−	0.482081i	$-0.160119\pi$
$84$	1.32575	+	0.695810i	0.144652	+	0.0759191i
$85$	−0.0589983	+	0.0522679i	−0.00639926	+	0.00566925i
$86$	13.5558	+	7.11464i	1.46176	+	0.767191i
$87$	0.0576412	−	0.0835078i	0.00617979	−	0.00895297i
$88$	−40.0206			−4.26621
$89$	−11.1238	+	2.74178i	−1.17913	+	0.290628i	−0.779710	−	0.626141i	$-0.784633\pi$
$89$	−11.1238	+	2.74178i	−1.17913	+	0.290628i	−0.399416	+	0.916770i	$0.630787\pi$
$90$	0.556736	+	4.58513i	0.0586851	+	0.483315i
$91$	−0.955740	+	7.87123i	−0.100189	+	0.825129i
$92$	−5.19034	−	2.72410i	−0.541130	−	0.284007i
$93$	0.263351	+	0.0649101i	0.0273082	+	0.00673086i
$94$	9.84822	+	25.9676i	1.01577	+	2.67836i
$95$	−0.774808	+	1.12250i	−0.0794937	+	0.115166i
$96$	−5.64229	−	1.39070i	−0.575864	−	0.141938i
$97$	6.91023	+	1.70322i	0.701627	+	0.172936i	0.573962	−	0.818882i	$-0.305406\pi$
$97$	6.91023	+	1.70322i	0.701627	+	0.172936i	0.127665	+	0.991817i	$0.459252\pi$
$98$	−10.8837	−	9.64214i	−1.09942	−	0.974003i
$99$	−9.69181	−	5.08665i	−0.974063	−	0.511228i
$100$	−15.6287	+	22.6421i	−1.56287	+	2.26421i
$101$	0.00172123		0.000424245i	0.000171269		4.22140e-5i	−0.239230	−	0.970963i	$-0.576895\pi$
$101$	0.00172123		0.000424245i	0.000171269		4.22140e-5i	0.239401	+	0.970921i	$0.423049\pi$
$102$	0.00908676	−	0.0748362i	0.000899724	−	0.00740989i
$103$	−11.1053	+	9.83842i	−1.09424	+	0.969408i	−0.999659	−	0.0261091i	$-0.991688\pi$
$103$	−11.1053	+	9.83842i	−1.09424	+	0.969408i	−0.0945769	+	0.995518i	$0.530150\pi$
$104$	−7.68829	−	63.3187i	−0.753899	−	6.20891i
$105$	0.0170994	−	0.140826i	0.00166873	−	0.0137432i
$106$	24.5316	+	6.04650i	2.38272	+	0.587288i
$107$	8.76622	−	4.60087i	0.847462	−	0.444783i	0.0156752	−	0.999877i	$-0.495010\pi$
$107$	8.76622	−	4.60087i	0.847462	−	0.444783i	0.831787	+	0.555095i	$0.187318\pi$
$108$	−4.96124	−	4.39528i	−0.477396	−	0.422936i
$109$	−0.967641	+	7.96924i	−0.0926832	+	0.763315i	0.870069	+	0.492930i	$0.164074\pi$
$109$	−0.967641	+	7.96924i	−0.0926832	+	0.763315i	−0.962752	+	0.270385i	$0.912849\pi$
$110$	2.04047	+	5.38027i	0.194551	+	0.512989i
$111$	−2.14712	+	0.529216i	−0.203795	+	0.0502310i
$112$	−22.2648	−	11.6855i	−2.10383	−	1.10417i
$113$	−5.93418	+	3.11450i	−0.558241	+	0.292987i	−0.720150	−	0.693818i	$-0.755927\pi$
$113$	−5.93418	+	3.11450i	−0.558241	+	0.292987i	0.161909	+	0.986806i	$0.448235\pi$
$114$	−0.157240	−	1.29499i	−0.0147269	−	0.121287i
$115$	−0.0669443	+	0.551336i	−0.00624259	+	0.0514123i
$116$	−1.78384	+	2.58434i	−0.165625	+	0.239950i
$117$	6.18598	−	16.3111i	0.571894	−	1.50796i
$118$	−9.96575	−	14.4379i	−0.917422	−	1.32912i
$119$	0.0677692	−	0.178693i	0.00621240	−	0.0163807i
$120$	0.137553	+	1.13285i	0.0125568	+	0.103415i
$121$	−2.55958	−	0.630880i	−0.232689	−	0.0573528i
$122$	−22.9168	−	12.0277i	−2.07479	−	1.08894i
$123$	0.598323	−	1.57765i	0.0539490	−	0.142252i
$124$	−8.14999	−	2.00879i	−0.731891	−	0.180395i
$125$	5.22847	+	1.28870i	0.467648	+	0.115265i
$126$	−6.36171	−	9.21653i	−0.566747	−	0.821074i
$127$	2.59645	−	6.84627i	0.230397	−	0.607508i	−0.769103	−	0.639125i	$-0.779297\pi$
$127$	2.59645	−	6.84627i	0.230397	−	0.607508i	0.999500	+	0.0316173i	$0.0100658\pi$
$128$	72.9738	+	17.9864i	6.45004	+	1.58979i
$129$	0.587668	+	0.851384i	0.0517413	+	0.0749602i
$130$	−8.12042	+	4.26193i	−0.712208	+	0.373796i
$131$	5.39563			0.471418			0.235709	−	0.971824i	$-0.424259\pi$
$131$	5.39563			0.471418			0.235709	+	0.971824i	$0.424259\pi$
$132$	−3.63381	−	1.90717i	−0.316282	−	0.165998i
$133$	0.398623	−	3.28295i	0.0345650	−	0.284668i
$134$	−23.0094	+	20.3846i	−1.98771	+	1.76096i
$135$	−0.222691	+	0.587188i	−0.0191662	+	0.0505371i
$136$	−0.185309	+	1.52616i	−0.0158901	+	0.130867i
$137$	2.83928	+	1.49017i	0.242576	+	0.127314i	0.581631	−	0.813453i	$-0.302415\pi$
$137$	2.83928	+	1.49017i	0.242576	+	0.127314i	−0.339055	+	0.940767i	$0.610107\pi$
$138$	−0.301745	−	0.437154i	−0.0256863	−	0.0372130i
$139$	11.1392	−	2.74557i	0.944815	−	0.232876i	0.263328	−	0.964706i	$-0.415180\pi$
$139$	11.1392	−	2.74557i	0.944815	−	0.232876i	0.681487	+	0.731830i	$0.261334\pi$
$140$	−0.529181	+	4.35820i	−0.0447239	+	0.368335i
$141$	−0.226208	+	1.86299i	−0.0190501	+	0.156892i
$142$	−32.6881	−	8.05690i	−2.74313	−	0.676120i
$143$	2.61962	−	21.5745i	0.219064	−	1.80415i
$144$	41.4088	+	36.6850i	3.45074	+	3.05709i
$145$	0.288880	+	0.0712025i	0.0239902	+	0.00591305i
$146$	−14.8397	+	39.1290i	−1.22814	+	3.23834i
$147$	−0.348417	−	0.918701i	−0.0287370	−	0.0757732i
$148$	66.4474	−	16.3778i	5.46195	−	1.34625i
$149$	4.72648	−	4.18729i	0.387208	−	0.343036i	−0.446953	−	0.894557i	$-0.647491\pi$
$149$	4.72648	−	4.18729i	0.387208	−	0.343036i	0.834161	+	0.551521i	$0.185952\pi$
$150$	−2.20753	+	1.15860i	−0.180244	+	0.0945992i
$151$	−9.27205	+	8.21432i	−0.754549	+	0.668472i	−0.950003	−	0.312241i	$-0.898920\pi$
$151$	−9.27205	+	8.21432i	−0.754549	+	0.668472i	0.195454	+	0.980713i	$0.437382\pi$
$152$	3.20665	+	26.4092i	0.260094	+	2.14207i
$153$	−0.238852	+	0.346037i	−0.0193101	+	0.0279754i
$154$	−10.4431	−	9.25178i	−0.841529	−	0.745530i
$155$	0.0958625	+	0.789499i	0.00769986	+	0.0634141i
$156$	2.31935	−	6.11562i	0.185696	−	0.489641i
$157$	0.396698	+	0.0977772i	0.0316599	+	0.00780347i	0.255114	−	0.966911i	$-0.417887\pi$
$157$	0.396698	+	0.0977772i	0.0316599	+	0.00780347i	−0.223454	+	0.974715i	$0.571733\pi$
$158$	3.37586	+	27.8027i	0.268569	+	2.21186i
$159$	1.27793	+	1.13215i	0.101346	+	0.0897850i
$160$	−2.05386	−	16.9150i	−0.162372	−	1.33725i
$161$	−0.477513	−	1.25910i	−0.0376333	−	0.0992309i
$162$	8.62991	+	22.7552i	0.678030	+	1.78782i
$163$	−6.10651	−	3.20495i	−0.478299	−	0.251031i	0.208303	−	0.978064i	$-0.433206\pi$
$163$	−6.10651	−	3.20495i	−0.478299	−	0.251031i	−0.686602	+	0.727034i	$0.740898\pi$
$164$	−18.5165	+	48.8240i	−1.44590	+	3.81251i
$165$	−0.0468684	+	0.385996i	−0.00364870	+	0.0300497i
$166$	−16.9568	+	24.5662i	−1.31610	+	1.90671i
$167$	2.12368	+	0.523440i	0.164335	+	0.0405050i	0.320625	−	0.947206i	$-0.396107\pi$
$167$	2.12368	+	0.523440i	0.164335	+	0.0405050i	−0.156290	+	0.987711i	$0.549953\pi$
$168$	−1.57179	−	2.27714i	−0.121267	−	0.175685i
$169$	21.6374			1.66442
$170$	0.214621	−	0.0528993i	0.0164607	−	0.00405719i
$171$	−2.58007	+	6.80308i	−0.197303	+	0.520244i
$172$	−18.1867	−	26.3480i	−1.38673	−	2.00902i
$173$	6.56312	−	5.81442i	0.498985	−	0.442062i	−0.375709	−	0.926738i	$-0.622601\pi$
$173$	6.56312	−	5.81442i	0.498985	−	0.442062i	0.874694	+	0.484676i	$0.161062\pi$
$174$	−0.251965	+	0.132241i	−0.0191014	+	0.0100252i
$175$	−6.13663	+	1.51254i	−0.463886	+	0.114338i
$176$	61.0263	+	32.0291i	4.60003	+	2.41428i
$177$	−0.142892	−	1.17682i	−0.0107404	−	0.0884551i
$178$	31.1955	+	7.68901i	2.33820	+	0.576315i
$179$	−7.46233	−	6.61105i	−0.557761	−	0.494133i	0.336497	−	0.941684i	$-0.390758\pi$
$179$	−7.46233	−	6.61105i	−0.557761	−	0.494133i	−0.894258	+	0.447551i	$0.852296\pi$
$180$	3.42510	−	9.03124i	0.255292	−	0.673149i
$181$	−0.365672	−	0.529768i	−0.0271802	−	0.0393773i	0.809158	−	0.587591i	$-0.199924\pi$
$181$	−0.365672	−	0.529768i	−0.0271802	−	0.0393773i	−0.836338	+	0.548213i	$0.815308\pi$
$182$	12.6315	−	18.2999i	0.936311	−	1.35648i
$183$	−0.993485	−	1.43931i	−0.0734405	−	0.106397i
$184$	6.15359	+	8.91501i	0.453648	+	0.657223i
$185$	−3.68340	−	5.33632i	−0.270809	−	0.392334i
$186$	−0.569346	−	0.504397i	−0.0417465	−	0.0369842i
$187$	−0.185751	+	0.489785i	−0.0135835	+	0.0358166i
$188$	7.00052	−	57.6545i	0.510566	−	4.20489i
$189$	−0.183537	−	1.51156i	−0.0133504	−	0.109950i
$190$	3.38689	−	1.77758i	0.245711	−	0.128959i
$191$	−3.57648	−	9.43041i	−0.258785	−	0.682360i	−0.999939	−	0.0110254i	$-0.996490\pi$
$191$	−3.57648	−	9.43041i	−0.258785	−	0.682360i	0.741154	−	0.671335i	$-0.234279\pi$
$192$	6.90351	+	6.11598i	0.498218	+	0.441383i
$193$	−3.53840	−	9.32998i	−0.254699	−	0.671587i	−0.999988	−	0.00484528i	$-0.998458\pi$
$193$	−3.53840	−	9.32998i	−0.254699	−	0.671587i	0.745289	−	0.666742i	$-0.232312\pi$
$194$	−14.9394	−	13.2352i	−1.07259	−	0.950231i
$195$	−0.619708			−0.0443782
$196$	10.7826	+	28.4313i	0.770184	+	2.03081i
$197$	−1.43851	+	3.79303i	−0.102489	+	0.270242i	−0.976446	−	0.215762i	$-0.930777\pi$
$197$	−1.43851	+	3.79303i	−0.102489	+	0.270242i	0.873957	+	0.486004i	$0.161546\pi$
$198$	17.4370	+	25.2619i	1.23920	+	1.79529i
$199$	13.1143	−	6.88292i	0.929649	−	0.487917i	0.0692844	−	0.997597i	$-0.477928\pi$
$199$	13.1143	−	6.88292i	0.929649	−	0.487917i	0.860364	+	0.509680i	$0.170236\pi$
$200$	45.0187	−	23.6277i	3.18331	−	1.67073i
$201$	−2.01686	+	0.497112i	−0.142259	+	0.0350636i
$202$	−0.00482699	−	0.00118975i	−0.000339626	−	8.37102e-5i
$203$	−0.700428	+	0.172640i	−0.0491604	+	0.0121170i
$204$	−0.0895542	+	0.129742i	−0.00627005	+	0.00908374i
$205$	4.94743			0.345544
$206$	40.3982	−	9.95726i	2.81468	−	0.693755i
$207$	0.357111	+	2.94107i	0.0248209	+	0.204419i
$208$	−38.9512	+	102.706i	−2.70078	+	7.12138i
$209$	−1.09260	+	8.99836i	−0.0755766	+	0.622430i
$210$	−0.225994	+	0.327409i	−0.0155951	+	0.0225934i
$211$	11.4048	−	16.5227i	0.785139	−	1.13747i	−0.202277	−	0.979328i	$-0.564834\pi$
$211$	11.4048	−	16.5227i	0.785139	−	1.13747i	0.987416	−	0.158142i	$-0.0505504\pi$
$212$	−39.5484	−	35.0369i	−2.71620	−	2.40634i
$213$	−1.70283	−	1.50857i	−0.116676	−	0.103366i
$214$	−27.7640			−1.89791
$215$	−1.72314	+	2.49640i	−0.117517	+	0.170253i
$216$	4.34349	+	11.4528i	0.295537	+	0.779268i
$217$	−1.09540	−	1.58697i	−0.0743608	−	0.107730i
$218$	12.7888	−	18.5278i	0.866168	−	1.25486i
$219$	−2.11667	+	1.87521i	−0.143031	+	0.126715i
$220$	1.45045	−	11.9455i	0.0977893	−	0.805367i
$221$	−0.810599	−	0.199795i	−0.0545268	−	0.0134396i
$222$	6.02133	+	1.48413i	0.404125	+	0.0996080i
$223$	−0.607578	+	5.00385i	−0.0406864	+	0.335083i	0.958125	+	0.286349i	$0.0924417\pi$
$223$	−0.607578	+	5.00385i	−0.0406864	+	0.335083i	−0.998812	+	0.0487338i	$0.984481\pi$
$224$	23.4690	+	34.0008i	1.56809	+	2.27177i
$225$	13.9053			0.927019
$226$	18.7945			1.25019
$227$	5.67534	−	5.02791i	0.376686	−	0.333714i	−0.453444	−	0.891285i	$-0.649805\pi$
$227$	5.67534	−	5.02791i	0.376686	−	0.333714i	0.830130	+	0.557570i	$0.188266\pi$
$228$	−0.967360	+	2.55072i	−0.0640650	+	0.168925i
$229$	−21.8695			−1.44517			−0.722587	−	0.691280i	$-0.757047\pi$
$229$	−21.8695			−1.44517			−0.722587	+	0.691280i	$0.757047\pi$
$230$	0.884768	−	1.28181i	0.0583399	−	0.0845199i
$231$	−0.334312	−	0.881508i	−0.0219961	−	0.0579989i
$232$	5.13839	−	2.69684i	0.337352	−	0.177056i
$233$	19.5904	+	10.2818i	1.28341	+	0.673584i	0.961920	−	0.273330i	$-0.0881250\pi$
$233$	19.5904	+	10.2818i	1.28341	+	0.673584i	0.321487	+	0.946914i	$0.395817\pi$
$234$	−36.6184	+	32.4411i	−2.39382	+	2.12074i
$235$	−5.34282	+	1.31689i	−0.348527	+	0.0859042i
$236$	4.42211	+	36.4194i	0.287855	+	2.37070i
$237$	−0.671096	+	1.76954i	−0.0435924	+	0.114944i
$238$	−0.401165	+	0.355401i	−0.0260037	+	0.0230372i
$239$	−15.4857	+	13.7192i	−1.00169	+	0.887420i	−0.993646	−	0.112548i	$-0.964099\pi$
$239$	−15.4857	+	13.7192i	−1.00169	+	0.887420i	−0.00804342	+	0.999968i	$0.502560\pi$
$240$	0.696888	−	1.83754i	0.0449839	−	0.118613i
$241$	18.4441	+	16.3400i	1.18809	+	1.05255i	0.997484	+	0.0708871i	$0.0225830\pi$
$241$	18.4441	+	16.3400i	1.18809	+	1.05255i	0.190604	+	0.981667i	$0.438955\pi$
$242$	5.53364	+	4.90238i	0.355716	+	0.315137i
$243$	−0.606917	+	4.99841i	−0.0389338	+	0.320648i
$244$	30.7457	+	44.5428i	1.96829	+	2.85156i
$245$	2.15646	−	1.91046i	0.137771	−	0.122055i
$246$	−3.54182	+	3.13778i	−0.225818	+	0.200058i
$247$	−14.4467			−0.919220
$248$	11.6108	+	10.2863i	0.737289	+	0.653181i
$249$	−1.78603	+	0.937382i	−0.113185	+	0.0594041i
$250$	−11.3036	−	10.0141i	−0.714902	−	0.633348i
$251$	8.31888	−	7.36988i	0.525083	−	0.465183i	−0.358452	−	0.933548i	$-0.616695\pi$
$251$	8.31888	−	7.36988i	0.525083	−	0.465183i	0.883535	+	0.468365i	$0.155157\pi$
$252$	2.82289	+	23.2486i	0.177825	+	1.46452i
$253$	1.30883	+	3.45111i	0.0822856	+	0.216969i
$254$	−15.3699	+	13.6165i	−0.964391	+	0.854376i
$255$	0.0145027	+	0.00357458i	0.000908191	+	0.000223849i
$256$	−84.9047	−	75.2190i	−5.30655	−	4.70119i
$257$	−0.211269	+	0.306075i	−0.0131786	+	0.0190925i	−0.829518	−	0.558480i	$-0.811385\pi$
$257$	−0.211269	+	0.306075i	−0.0131786	+	0.0190925i	0.816339	+	0.577573i	$0.196000\pi$
$258$	−0.349696	−	2.88000i	−0.0217711	−	0.179301i
$259$	13.9208	+	7.30620i	0.864996	+	0.453985i
$260$	19.1783			1.18939
$261$	1.58714			0.0982412
$262$	−13.3982	−	7.03191i	−0.827743	−	0.434433i
$263$	3.96666	+	0.977694i	0.244595	+	0.0602872i	0.359707	−	0.933065i	$-0.382877\pi$
$263$	3.96666	+	0.977694i	0.244595	+	0.0602872i	−0.115112	+	0.993352i	$0.536723\pi$
$264$	4.30819	+	6.24149i	0.265151	+	0.384137i
$265$	−1.77518	+	4.68076i	−0.109048	+	0.287537i
$266$	−5.26839	+	7.63258i	−0.323026	+	0.467984i
$267$	1.62507	+	1.43969i	0.0994528	+	0.0881075i
$268$	62.4165	−	15.3843i	3.81269	−	0.939745i
$269$	−20.1059			−1.22588			−0.612939	−	0.790131i	$-0.710013\pi$
$269$	−20.1059			−1.22588			−0.612939	+	0.790131i	$0.710013\pi$
$270$	1.31824	−	1.16786i	0.0802254	−	0.0710735i
$271$	−5.29868	+	7.67646i	−0.321872	+	0.466312i	−0.950202	−	0.311635i	$-0.899123\pi$
$271$	−5.29868	+	7.67646i	−0.321872	+	0.466312i	0.628330	+	0.777947i	$0.283739\pi$
$272$	1.50398	−	2.17889i	0.0911921	−	0.132115i
$273$	1.33046	−	0.698277i	0.0805228	−	0.0422616i
$274$	−5.10830	−	7.40065i	−0.308604	−	0.447090i
$275$	16.8201	−	4.14578i	1.01429	−	0.250000i
$276$	0.133894	+	1.10271i	0.00805946	+	0.0663756i
$277$	1.04266	−	8.58704i	0.0626471	−	0.515945i	−0.927280	−	0.374368i	$-0.877860\pi$
$277$	1.04266	−	8.58704i	0.0626471	−	0.515945i	0.989927	−	0.141577i	$-0.0452173\pi$
$278$	−31.2386	−	7.69962i	−1.87357	−	0.461793i
$279$	1.50440	+	3.96679i	0.0900663	+	0.237485i
$280$	4.60876	−	6.67695i	0.275426	−	0.399024i
$281$	−1.44801	−	2.09780i	−0.0863810	−	0.125145i	0.777411	−	0.628993i	$-0.216532\pi$
$281$	−1.44801	−	2.09780i	−0.0863810	−	0.125145i	−0.863792	+	0.503848i	$0.831917\pi$
$282$	2.98967	−	4.33129i	0.178032	−	0.257924i
$283$	−0.129522	+	1.06671i	−0.00769927	+	0.0634092i	−0.996052	−	0.0887706i	$-0.971706\pi$
$283$	−0.129522	+	1.06671i	−0.00769927	+	0.0634092i	0.988353	+	0.152180i	$0.0486293\pi$
$284$	52.6979	+	46.6863i	3.12704	+	2.77032i
$285$	0.258469			0.0153104
$286$	−34.6222	+	50.1589i	−2.04725	+	2.96596i
$287$	−10.6217	+	5.57469i	−0.626978	+	0.329064i
$288$	−32.2319	−	84.9885i	−1.89928	−	5.00799i
$289$	−15.0349	−	7.89094i	−0.884408	−	0.464173i
$290$	−0.624539	−	0.553293i	−0.0366742	−	0.0324905i
$291$	−0.478252	−	1.26105i	−0.0280356	−	0.0739238i
$292$	65.5053	−	58.0326i	3.83341	−	3.39610i
$293$	−10.8197	+	15.6750i	−0.632092	+	0.915744i	−0.999900	−	0.0141581i	$-0.995493\pi$
$293$	−10.8197	+	15.6750i	−0.632092	+	0.915744i	0.367807	+	0.929902i	$0.380109\pi$
$294$	−0.332132	+	2.73536i	−0.0193704	+	0.159529i
$295$	3.07782	−	1.61537i	0.179198	−	0.0940502i
$296$	−122.795	−	30.2662i	−7.13731	−	1.75919i
$297$	0.503063	+	4.14310i	0.0291907	+	0.240407i
$298$	−17.1937	+	4.23787i	−0.996006	+	0.245493i
$299$	−5.20874	+	2.73376i	−0.301229	+	0.158097i
$300$	5.21359			0.301007
$301$	0.886520	−	7.30115i	0.0510981	−	0.420831i
$302$	33.7294	−	8.31354i	1.94091	−	0.478391i
$303$	−0.000251453	0	0.000222768i	−1.44456e−5	0	1.27977e-5i
$304$	16.2459	−	42.8369i	0.931766	−	2.45687i
$305$	2.91306	−	4.22030i	0.166801	−	0.241654i
$306$	1.04408	−	0.547978i	0.0596863	−	0.0313258i
$307$	−7.79957	+	20.5658i	−0.445145	+	1.17375i	0.505323	+	0.862930i	$0.331373\pi$
$307$	−7.79957	+	20.5658i	−0.445145	+	1.17375i	−0.950468	+	0.310821i	$0.899396\pi$
$308$	10.3460	+	27.2803i	0.589521	+	1.55444i
$309$	2.72984	+	0.672846i	0.155295	+	0.0382768i
$310$	0.790882	−	2.08538i	0.0449191	−	0.118442i
$311$	3.44723	+	28.3905i	0.195475	+	1.60988i	0.678722	+	0.734395i	$0.262534\pi$
$311$	3.44723	+	28.3905i	0.195475	+	1.60988i	−0.483248	+	0.875484i	$0.660543\pi$
$312$	−9.04734	+	8.01525i	−0.512205	+	0.453774i
$313$	5.97997			0.338008			0.169004	−	0.985615i	$-0.445945\pi$
$313$	5.97997			0.338008			0.169004	+	0.985615i	$0.445945\pi$
$314$	−0.857634	−	0.759797i	−0.0483991	−	0.0428778i
$315$	1.96475	−	1.03118i	0.110701	−	0.0581005i
$316$	20.7686	−	54.7624i	1.16833	−	3.08062i
$317$	−23.6789	+	12.4277i	−1.32994	+	0.698007i	−0.971833	−	0.235672i	$-0.924271\pi$
$317$	−23.6789	+	12.4277i	−1.32994	+	0.698007i	−0.358109	+	0.933680i	$0.616578\pi$
$318$	−1.69782	−	4.47677i	−0.0952088	−	0.251045i
$319$	1.91983	−	0.473195i	0.107490	−	0.0264938i
$320$	−9.58971	+	25.2860i	−0.536081	+	1.41353i
$321$	−1.66121	−	0.871871i	−0.0927198	−	0.0486631i
$322$	−0.455195	+	3.74887i	−0.0253670	+	0.208916i
$323$	0.338087	+	0.0833309i	0.0188117	+	0.00463666i
$324$	6.13450	−	50.5221i	0.340805	−	2.80679i
$325$	9.79053	+	25.8155i	0.543081	+	1.43199i
$326$	10.9866	+	15.9168i	0.608489	+	0.881548i
$327$	1.34702	−	0.706972i	0.0744905	−	0.0390956i
$328$	72.2294	−	63.9897i	3.98820	−	3.53324i
$329$	9.98669	−	8.84744i	0.550584	−	0.487775i
$330$	0.619435	−	0.897406i	0.0340988	−	0.0494006i
$331$	−2.32684	−	19.1632i	−0.127895	−	1.05331i	−0.905438	−	0.424478i	$-0.860458\pi$
$331$	−2.32684	−	19.1632i	−0.127895	−	1.05331i	0.777543	−	0.628829i	$-0.216466\pi$
$332$	55.2729	−	29.0094i	3.03349	−	1.59210i
$333$	−25.8904	−	22.9369i	−1.41879	−	1.25693i
$334$	−4.59125	−	4.06749i	−0.251222	−	0.222563i
$335$	−3.45995	−	5.01260i	−0.189037	−	0.273868i
$336$	0.574359	+	4.73027i	0.0313339	+	0.258058i
$337$	4.97064	+	2.60879i	0.270768	+	0.142110i	0.594643	−	0.803990i	$-0.297293\pi$
$337$	4.97064	+	2.60879i	0.270768	+	0.142110i	−0.323875	+	0.946100i	$0.604986\pi$
$338$	−53.7291	−	28.1992i	−2.92248	−	1.53384i
$339$	1.12454	+	0.590202i	0.0610764	+	0.0320554i
$340$	−0.448818	−	0.110624i	−0.0243406	−	0.00599941i
$341$	3.00243	+	4.34977i	0.162591	+	0.235553i
$342$	15.2729	−	13.5306i	0.825864	−	0.731652i
$343$	−5.82124	+	15.3493i	−0.314317	+	0.828786i
$344$	7.13145	+	58.7328i	0.384502	+	3.16666i
$345$	0.0931910	−	0.0489104i	0.00501723	−	0.00263325i
$346$	−23.8750	+	5.88465i	−1.28353	+	0.316361i
$347$	−0.472744	−	1.24652i	−0.0253782	−	0.0669168i	0.921728	−	0.387836i	$-0.126777\pi$
$347$	−0.472744	−	1.24652i	−0.0253782	−	0.0669168i	−0.947107	+	0.320919i	$0.896008\pi$
$348$	0.595074			0.0318993
$349$	7.44346	+	6.59433i	0.398439	+	0.352987i	0.838424	−	0.545019i	$-0.183478\pi$
$349$	7.44346	+	6.59433i	0.398439	+	0.352987i	−0.439984	+	0.898005i	$0.645016\pi$
$350$	17.2095	+	4.24175i	0.919884	+	0.226731i
$351$	−6.45837	+	1.59185i	−0.344722	+	0.0849664i
$352$	−64.3271	−	93.1939i	−3.42865	−	4.96725i
$353$	3.04956	−	25.1153i	0.162311	−	1.33676i	−0.652835	−	0.757500i	$-0.726421\pi$
$353$	3.04956	−	25.1153i	0.162311	−	1.33676i	0.815146	−	0.579255i	$-0.196656\pi$
$354$	−1.17888	+	3.10845i	−0.0626568	+	0.165212i
$355$	2.36541	−	6.23706i	0.125543	−	0.331029i
$356$	−50.2916	−	44.5545i	−2.66545	−	2.36138i
$357$	−0.0351636	+	0.00866706i	−0.00186106	+	0.000458709i
$358$	9.91422	+	26.1416i	0.523983	+	1.38163i
$359$	3.70484	+	9.76887i	0.195534	+	0.515581i	0.996544	−	0.0830705i	$-0.0264727\pi$
$359$	3.70484	+	9.76887i	0.195534	+	0.515581i	−0.801010	+	0.598652i	$0.795703\pi$
$360$	−13.3607	+	11.8365i	−0.704169	+	0.623839i
$361$	−12.9745			−0.682871
$362$	0.217596	+	1.79206i	0.0114366	+	0.0941888i
$363$	0.177147	+	0.467098i	0.00929780	+	0.0245163i
$364$	−41.1740	+	21.6098i	−2.15810	+	1.13266i
$365$	−7.34195	−	3.85335i	−0.384295	−	0.201694i
$366$	0.591180	+	4.86881i	0.0309015	+	0.254497i
$367$	2.66114	−	0.655912i	0.138910	−	0.0342383i	−0.169247	−	0.985574i	$-0.554134\pi$
$367$	2.66114	−	0.655912i	0.138910	−	0.0342383i	0.308158	+	0.951335i	$0.400288\pi$
$368$	−2.24862	−	18.5190i	−0.117217	−	0.965372i
$369$	25.6250	−	6.31598i	1.33398	−	0.328797i
$370$	2.19183	+	18.0514i	0.113948	+	0.938446i
$371$	−1.46306	−	12.0494i	−0.0759584	−	0.625574i
$372$	0.564055	+	1.48729i	0.0292449	+	0.0771124i
$373$	−6.72295	+	9.73988i	−0.348101	+	0.504312i	−0.957453	−	0.288588i	$-0.906814\pi$
$373$	−6.72295	+	9.73988i	−0.348101	+	0.504312i	0.609352	+	0.792900i	$0.291430\pi$
$374$	1.09957	−	0.974132i	0.0568573	−	0.0503711i
$375$	−0.361859	−	0.954142i	−0.0186863	−	0.0492717i
$376$	−60.9693	+	88.3293i	−3.14425	+	4.55523i
$377$	1.11748	+	2.94656i	0.0575532	+	0.151755i
$378$	−1.51421	+	3.99265i	−0.0778827	+	0.205360i
$379$	−1.87256	+	1.65895i	−0.0961871	+	0.0852143i	−0.709846	−	0.704357i	$-0.751235\pi$
$379$	−1.87256	+	1.65895i	−0.0961871	+	0.0852143i	0.613659	+	0.789571i	$0.289697\pi$
$380$	−7.99893			−0.410337
$381$	−1.34723	+	0.332062i	−0.0690205	+	0.0170120i
$382$	−3.40932	+	28.0783i	−0.174436	+	1.43661i
$383$	−13.7300	+	3.38415i	−0.701572	+	0.172922i	−0.573937	−	0.818899i	$-0.694585\pi$
$383$	−13.7300	+	3.38415i	−0.701572	+	0.172922i	−0.127635	+	0.991821i	$0.540739\pi$
$384$	−5.05046	−	13.3170i	−0.257730	−	0.679579i
$385$	2.06916	−	1.83311i	0.105454	−	0.0934241i
$386$	−3.37301	+	27.7793i	−0.171682	+	1.41393i
$387$	−5.73796	+	15.1297i	−0.291677	+	0.769088i
$388$	14.8006	+	39.0260i	0.751387	+	1.98124i
$389$	17.3033	+	4.26489i	0.877314	+	0.216238i	0.652157	−	0.758084i	$-0.273864\pi$
$389$	17.3033	+	4.26489i	0.877314	+	0.216238i	0.225157	+	0.974323i	$0.427711\pi$
$390$	1.53883	+	0.807641i	0.0779218	+	0.0408965i
$391$	0.137666	−	0.0339316i	0.00696206	−	0.00171599i
$392$	6.77328	−	55.7830i	0.342102	−	2.81747i
$393$	−0.580835	−	0.841484i	−0.0292992	−	0.0424473i
$394$	8.51534	−	7.54393i	0.428997	−	0.380058i
$395$	−5.54918			−0.279210
$396$	−7.73735	−	63.7228i	−0.388817	−	3.20219i
$397$	0.457362	−	3.76671i	0.0229543	−	0.189046i	−0.976721	−	0.214512i	$-0.931184\pi$
$397$	0.457362	−	3.76671i	0.0229543	−	0.189046i	0.999676	+	0.0254661i	$0.00810699\pi$
$398$	−41.5351			−2.08197
$399$	−0.554910	+	0.291239i	−0.0277803	+	0.0145802i
$400$	−87.5574			−4.37787
$401$	−15.2502	−	8.00390i	−0.761556	−	0.399696i	0.0387792	−	0.999248i	$-0.487653\pi$
$401$	−15.2502	−	8.00390i	−0.761556	−	0.399696i	−0.800336	+	0.599552i	$0.795345\pi$
$402$	5.65606	+	1.39409i	0.282098	+	0.0695310i
$403$	−6.30520	+	5.58592i	−0.314085	+	0.278255i
$404$	0.00778179	+	0.00689406i	0.000387158	+	0.000342992i
$405$	−4.68186	+	1.15398i	−0.232644	+	0.0573415i
$406$	1.96427	+	0.484149i	0.0974851	+	0.0240279i
$407$	−38.1560	−	20.0258i	−1.89132	−	0.992643i
$408$	0.257963	−	0.135389i	0.0127711	−	0.00670277i
$409$	34.3488	+	18.0277i	1.69844	+	0.891410i	0.980805	+	0.194992i	$0.0624679\pi$
$409$	34.3488	+	18.0277i	1.69844	+	0.891410i	0.717636	+	0.696419i	$0.245224\pi$
$410$	−12.2853	−	6.44780i	−0.606726	−	0.318434i
$411$	−0.0732442	−	0.603220i	−0.00361287	−	0.0297547i
$412$	−84.4813	−	20.8228i	−4.16209	−	1.02586i
$413$	−4.78763	+	6.93608i	−0.235584	+	0.341302i
$414$	2.94623	−	7.76856i	0.144799	−	0.381804i
$415$	−4.42699	−	3.92197i	−0.217313	−	0.192522i
$416$	135.089	−	119.679i	6.62329	−	5.86772i
$417$	−1.62732	−	1.44168i	−0.0796900	−	0.0705992i
$418$	14.4403	−	20.9204i	0.706299	−	1.02325i
$419$	−14.9222	+	21.6185i	−0.728997	+	1.05613i	0.266728	+	0.963772i	$0.414057\pi$
$419$	−14.9222	+	21.6185i	−0.728997	+	1.05613i	−0.995725	+	0.0923629i	$0.970558\pi$
$420$	0.736656	−	0.386627i	0.0359451	−	0.0188655i
$421$	21.2371	−	5.23447i	1.03503	−	0.255112i	0.315028	−	0.949082i	$-0.397986\pi$
$421$	21.2371	−	5.23447i	1.03503	−	0.255112i	0.720004	+	0.693970i	$0.244140\pi$
$422$	−49.8533	+	26.1650i	−2.42682	+	1.27369i
$423$	−25.9917	+	13.6415i	−1.26376	+	0.663271i
$424$	34.6241	+	91.2962i	1.68149	+	4.43373i
$425$	−0.0802136	−	0.660619i	−0.00389093	−	0.0320447i
$426$	2.26232	+	5.96525i	0.109610	+	0.289017i
$427$	−1.49871	+	12.3430i	−0.0725277	+	0.597319i
$428$	51.4100	+	26.9821i	2.48500	+	1.30423i
$429$	−3.64669	+	1.91393i	−0.176064	+	0.0924055i
$430$	7.53229	−	3.95325i	0.363239	−	0.190643i
$431$	3.22489	+	1.69255i	0.155337	+	0.0815274i	0.540601	−	0.841279i	$-0.318197\pi$
$431$	3.22489	+	1.69255i	0.155337	+	0.0815274i	−0.385263	+	0.922807i	$0.625889\pi$
$432$	2.54261	−	20.9403i	0.122331	−	1.00749i
$433$	−3.28282	−	8.65608i	−0.157762	−	0.415985i	0.832708	−	0.553712i	$-0.186789\pi$
$433$	−3.28282	−	8.65608i	−0.157762	−	0.415985i	−0.990470	+	0.137728i	$0.956020\pi$
$434$	0.651827	+	5.36828i	0.0312887	+	0.257686i
$435$	−0.0199932	−	0.0527177i	−0.000958599	−	0.00252762i
$436$	−41.6867	+	21.8789i	−1.99643	+	1.04781i
$437$	2.17248	−	1.14020i	0.103924	−	0.0545433i
$438$	7.69992	−	1.89786i	0.367916	−	0.0906832i
$439$	−4.03730	+	2.11894i	−0.192690	+	0.101132i	−0.558309	−	0.829633i	$-0.688550\pi$
$439$	−4.03730	+	2.11894i	−0.192690	+	0.101132i	0.365619	+	0.930765i	$0.380857\pi$
$440$	−12.6323	+	18.3011i	−0.602222	+	0.872470i
$441$	8.73034	−	12.6481i	0.415731	−	0.602290i
$442$	1.75246	+	1.55254i	0.0833560	+	0.0738470i
$443$	−20.5516	+	18.2071i	−0.976435	+	0.865046i	−0.990866	−	0.134850i	$-0.956945\pi$
$443$	−20.5516	+	18.2071i	−0.976435	+	0.865046i	0.0144310	+	0.999896i	$0.495406\pi$
$444$	−9.70724	−	8.59986i	−0.460685	−	0.408131i
$445$	−2.25740	+	5.95227i	−0.107011	+	0.282165i
$446$	8.03004	−	11.6335i	0.380234	−	0.550863i
$447$	−1.16184	−	0.286367i	−0.0549530	−	0.0135447i
$448$	−7.90363	−	65.0922i	−0.373411	−	3.07532i
$449$	13.3935	+	7.02947i	0.632080	+	0.331741i	0.750154	−	0.661264i	$-0.229980\pi$
$449$	13.3935	+	7.02947i	0.632080	+	0.331741i	−0.118073	+	0.993005i	$0.537672\pi$
$450$	−34.5290	−	18.1222i	−1.62771	−	0.854290i
$451$	29.1133	−	15.2799i	1.37089	−	0.719500i
$452$	−34.8014	−	18.2652i	−1.63692	−	0.859121i
$453$	2.27921	+	0.561774i	0.107086	+	0.0263944i
$454$	−20.6455	+	5.08865i	−0.968939	+	0.238822i
$455$	3.29777	+	2.92157i	0.154602	+	0.136965i
$456$	3.77349	−	3.34302i	0.176710	−	0.156551i
$457$	30.9523	+	7.62906i	1.44789	+	0.356872i	0.883420	−	0.468583i	$-0.155235\pi$
$457$	30.9523	+	7.62906i	1.44789	+	0.356872i	0.564468	+	0.825455i	$0.309081\pi$
$458$	54.3053	+	28.5016i	2.53752	+	1.33179i
$459$	0.160323			0.00748326
$460$	−2.88401	+	1.51365i	−0.134468	+	0.0705741i
$461$	20.9030			0.973551			0.486775	−	0.873527i	$-0.338173\pi$
$461$	20.9030			0.973551			0.486775	+	0.873527i	$0.338173\pi$
$462$	−0.318686	+	2.62462i	−0.0148266	+	0.122108i
$463$	2.00464	+	16.5097i	0.0931637	+	0.767272i	0.962166	+	0.272464i	$0.0878385\pi$
$463$	2.00464	+	16.5097i	0.0931637	+	0.767272i	−0.869002	+	0.494808i	$0.835238\pi$
$464$	−9.99371			−0.463946
$465$	0.112808	−	0.0999393i	0.00523135	−	0.00463457i
$466$	−35.2461	−	51.0627i	−1.63274	−	2.36544i
$467$	−1.95599	+	16.1090i	−0.0905123	+	0.745436i	0.874826	+	0.484436i	$0.160975\pi$
$467$	−1.95599	+	16.1090i	−0.0905123	+	0.745436i	−0.965339	+	0.261000i	$0.915948\pi$
$468$	99.3328	−	24.4833i	4.59166	−	1.13174i
$469$	13.0763	+	6.86298i	0.603808	+	0.316903i
$470$	14.9833	+	3.69305i	0.691128	+	0.170348i
$471$	−0.0274552	−	0.0723933i	−0.00126507	−	0.00333571i
$472$	24.0413	−	63.3916i	1.10659	−	2.91784i
$473$	−2.42989	+	20.0120i	−0.111727	+	0.920151i
$474$	3.97261	−	3.51942i	0.182468	−	0.161652i
$475$	−4.08346	−	10.7672i	−0.187362	−	0.494033i
$476$	1.08822	−	0.268222i	0.0498785	−	0.0122939i
$477$	−3.21889	+	26.5100i	−0.147383	+	1.21381i
$478$	56.3332	−	13.8849i	2.57662	−	0.635080i
$479$	35.8931			1.64000			0.819998	−	0.572366i	$-0.193974\pi$
$479$	35.8931			1.64000			0.819998	+	0.572366i	$0.193974\pi$
$480$	−2.41692	+	2.14120i	−0.110317	+	0.0977321i
$481$	24.3538	−	64.2157i	1.11044	−	2.92799i
$482$	−24.5042	−	64.6123i	−1.11614	−	2.94301i
$483$	−0.144961	+	0.210012i	−0.00659595	+	0.00955589i
$484$	−5.48222	−	14.4554i	−0.249192	−	0.657064i
$485$	2.96005	−	2.62237i	0.134409	−	0.119076i
$486$	8.02131	−	11.6209i	0.363854	−	0.527133i
$487$	10.7766	+	28.4156i	0.488336	+	1.28764i	0.922220	+	0.386666i	$0.126374\pi$
$487$	10.7766	+	28.4156i	0.488336	+	1.28764i	−0.433884	+	0.900969i	$0.642857\pi$
$488$	−12.0561	−	99.2910i	−0.545755	−	4.49469i
$489$	0.157528	+	1.29736i	0.00712367	+	0.0586687i
$490$	−7.84466	+	1.93353i	−0.354386	+	0.0873482i
$491$	3.77187	+	31.0641i	0.170222	+	1.40190i	0.788060	+	0.615599i	$0.211086\pi$
$491$	3.77187	+	31.0641i	0.170222	+	1.40190i	−0.617838	+	0.786306i	$0.711991\pi$
$492$	9.60771	−	2.36809i	0.433149	−	0.106762i
$493$	−0.00915550	−	0.0754023i	−0.000412343	−	0.00339595i
$494$	35.8734	+	18.8278i	1.61402	+	0.847103i
$495$	−5.38525	+	2.82640i	−0.242049	+	0.127037i
$496$	−9.47277	−	24.9776i	−0.425340	−	1.12153i
$497$	1.94952	+	16.0557i	0.0874477	+	0.720197i
$498$	5.65665			0.253481
$499$	8.55377	−	7.57798i	0.382919	−	0.339237i	−0.449603	−	0.893229i	$-0.648434\pi$
$499$	8.55377	−	7.57798i	0.382919	−	0.339237i	0.832522	+	0.553992i	$0.186896\pi$
$500$	11.1985	+	29.5281i	0.500814	+	1.32054i
$501$	−0.146978	−	0.387550i	−0.00656650	−	0.0173144i
$502$	−30.2620	+	7.45891i	−1.35066	+	0.332907i
$503$	−13.9410	−	12.3506i	−0.621598	−	0.550687i	0.292457	−	0.956279i	$-0.405527\pi$
$503$	−13.9410	−	12.3506i	−0.621598	−	0.550687i	−0.914055	+	0.405591i	$0.867066\pi$
$504$	15.3469	−	40.4665i	0.683606	−	1.80252i
$505$	0.000349295	0	0.000921014i	1.55434e−5	0	4.09846e-5i
$506$	1.24766	−	10.2754i	0.0554652	−	0.456797i
$507$	−2.32925	−	3.37450i	−0.103446	−	0.149867i
$508$	41.6930	−	10.2764i	1.84983	−	0.455942i
$509$	−4.60564	−	1.13519i	−0.204141	−	0.0503163i	0.135919	−	0.990720i	$-0.456601\pi$
$509$	−4.60564	−	1.13519i	−0.204141	−	0.0503163i	−0.340060	+	0.940404i	$0.610447\pi$
$510$	−0.0313537	−	0.0277770i	−0.00138837	−	0.00122999i
$511$	20.1044			0.889365
$512$	59.4991	+	156.886i	2.62952	+	6.93346i
$513$	2.69367	−	0.663931i	0.118929	−	0.0293133i
$514$	0.923509	−	0.484695i	0.0407343	−	0.0213790i
$515$	0.993693	+	8.18380i	0.0437873	+	0.360621i
$516$	−2.15137	+	5.67269i	−0.0947086	+	0.249726i
$517$	−27.3729	+	24.2502i	−1.20386	+	1.06652i
$518$	−25.0457	−	36.2849i	−1.10044	−	1.59427i
$519$	−1.61331	−	0.397646i	−0.0708165	−	0.0174547i
$520$	−31.3819	−	16.4705i	−1.37619	−	0.722278i
$521$	−26.7520	−	14.0405i	−1.17202	−	0.615126i	−0.237626	−	0.971357i	$-0.576369\pi$
$521$	−26.7520	−	14.0405i	−1.17202	−	0.615126i	−0.934398	+	0.356231i	$0.884062\pi$
$522$	−3.94111	−	2.06845i	−0.172498	−	0.0905337i
$523$	4.97215	+	40.9493i	0.217417	+	1.79059i	0.537565	+	0.843222i	$0.319344\pi$
$523$	4.97215	+	40.9493i	0.217417	+	1.79059i	−0.320149	+	0.947367i	$0.603733\pi$
$524$	17.9753	+	26.0417i	0.785253	+	1.13764i
$525$	0.896494	+	0.794224i	0.0391262	+	0.0346628i
$526$	−8.57565	−	7.59737i	−0.373916	−	0.331261i
$527$	0.179778	−	0.0943545i	0.00783123	−	0.00411015i
$528$	−1.57428	−	12.9654i	−0.0685118	−	0.564245i
$529$	−12.4980	+	18.1064i	−0.543390	+	0.787236i
$530$	10.5083	−	9.30954i	0.456451	−	0.404381i
$531$	13.8792	−	12.2959i	0.602306	−	0.533596i
$532$	17.1730	−	9.01307i	0.744543	−	0.390766i
$533$	29.7680	+	43.1264i	1.28939	+	1.86801i
$534$	−2.15902	−	5.69287i	−0.0934299	−	0.246354i
$535$	0.663080	−	5.46096i	0.0286675	−	0.236098i
$536$	−115.346	−	28.4302i	−4.98217	−	1.22800i
$537$	−0.227724	+	1.87547i	−0.00982701	+	0.0809327i
$538$	49.9261	+	26.2032i	2.15247	+	1.12970i
$539$	6.78943	−	17.9023i	0.292441	−	0.771105i
$540$	−3.57591	+	0.881384i	−0.153883	+	0.0379287i
$541$	8.72758	+	23.0127i	0.375228	+	0.989394i	0.981043	+	0.193789i	$0.0620777\pi$
$541$	8.72758	+	23.0127i	0.375228	+	0.989394i	−0.605815	+	0.795605i	$0.707153\pi$
$542$	23.1619	−	12.1563i	0.994889	−	0.522158i
$543$	−0.0432565	+	0.114058i	−0.00185632	+	0.00489470i
$544$	−3.85174	+	2.02155i	−0.165142	+	0.0866731i
$545$	3.33883	+	2.95795i	0.143020	+	0.126705i
$546$	−4.21377			−0.180333
$547$	−33.8830	+	30.0177i	−1.44873	+	1.28347i	−0.557302	+	0.830310i	$0.688163\pi$
$547$	−33.8830	+	30.0177i	−1.44873	+	1.28347i	−0.891431	+	0.453156i	$0.850298\pi$
$548$	2.26671	+	18.6680i	0.0968291	+	0.797459i
$549$	9.70033	−	25.5777i	0.414000	−	1.09163i
$550$	−47.1700	−	11.6264i	−2.01134	−	0.495750i
$551$	−0.466082	−	1.22896i	−0.0198558	−	0.0523554i
$552$	0.727927	−	1.91939i	0.0309826	−	0.0816945i
$553$	11.9136	−	6.25273i	0.506617	−	0.265893i
$554$	−13.7802	+	19.9641i	−0.585466	+	0.848194i
$555$	−0.435721	+	1.14890i	−0.0184953	+	0.0487681i
$556$	50.3610	+	44.6160i	2.13578	+	1.89214i
$557$	10.0222	−	2.47026i	0.424655	−	0.104668i	−0.0211957	−	0.999775i	$-0.506747\pi$
$557$	10.0222	−	2.47026i	0.424655	−	0.104668i	0.445851	+	0.895107i	$0.352901\pi$
$558$	1.43409	−	11.8108i	0.0607098	−	0.499990i
$559$	−32.1288			−1.35890
$560$	−12.3714	+	6.49303i	−0.522788	+	0.274381i
$561$	0.0963812	−	0.0237558i	0.00406922	−	0.00100297i
$562$	0.861649	+	7.09632i	0.0363465	+	0.299340i
$563$	−28.6882	−	7.07099i	−1.20906	−	0.298007i	−0.417261	−	0.908787i	$-0.637010\pi$
$563$	−28.6882	−	7.07099i	−1.20906	−	0.298007i	−0.791800	+	0.610780i	$0.790856\pi$
$564$	−9.74521	+	5.11468i	−0.410347	+	0.215367i
$565$	−0.448864	+	3.69672i	−0.0188838	+	0.155522i
$566$	1.71182	−	2.48000i	0.0719533	−	0.104242i
$567$	8.75125	−	7.75293i	0.367518	−	0.325592i
$568$	−46.1362	−	121.651i	−1.93583	−	5.10437i
$569$	−10.9118	−	9.66700i	−0.457446	−	0.405262i	0.402682	−	0.915340i	$-0.368078\pi$
$569$	−10.9118	−	9.66700i	−0.457446	−	0.405262i	−0.860128	+	0.510078i	$0.829616\pi$
$570$	−0.641820	−	0.336853i	−0.0268829	−	0.0141092i
$571$	−2.39445	−	6.31364i	−0.100205	−	0.264218i	0.875534	−	0.483156i	$-0.160510\pi$
$571$	−2.39445	−	6.31364i	−0.100205	−	0.264218i	−0.975739	+	0.218939i	$0.929741\pi$
$572$	112.855	−	59.2310i	4.71872	−	2.47657i
$573$	−1.08573	+	1.57295i	−0.0453570	+	0.0657110i
$574$	33.6406			1.40413
$575$	−3.50978	−	3.10939i	−0.146368	−	0.129671i
$576$	−17.3888	+	143.210i	−0.724534	+	5.96707i
$577$	−13.8364	+	20.0455i	−0.576016	+	0.834504i	−0.997376	−	0.0723897i	$-0.976937\pi$
$577$	−13.8364	+	20.0455i	−0.576016	+	0.834504i	0.421360	+	0.906893i	$0.361553\pi$
$578$	27.0501	+	39.1889i	1.12514	+	1.63004i
$579$	−1.07417	+	1.55620i	−0.0446409	+	0.0646735i
$580$	0.618735	+	1.63147i	0.0256916	+	0.0677431i
$581$	13.9236	+	3.43185i	0.577647	+	0.142377i
$582$	−0.455899	+	3.75466i	−0.0188976	+	0.155636i
$583$	4.01016	+	33.0266i	0.166084	+	1.36782i
$584$	−157.027	+	38.7036i	−6.49781	+	1.60157i
$585$	−5.50634	−	7.97732i	−0.227659	−	0.329821i
$586$	47.2956	−	24.8226i	1.95376	−	1.02541i
$587$	15.9710	−	23.1380i	0.659193	−	0.955006i	−0.340697	−	0.940173i	$-0.610663\pi$
$587$	15.9710	−	23.1380i	0.659193	−	0.955006i	0.999890	−	0.0148331i	$-0.00472169\pi$
$588$	3.27332	−	4.74222i	0.134989	−	0.195566i
$589$	2.62979	−	2.32979i	0.108359	−	0.0959974i
$590$	−9.74796			−0.401317
$591$	0.746402	−	0.183972i	0.0307029	−	0.00756758i
$592$	163.024	+	144.427i	6.70024	+	5.93590i
$593$	0.0280832	−	0.0406856i	0.00115324	−	0.00167076i	−0.822407	−	0.568900i	$-0.807369\pi$
$593$	0.0280832	−	0.0406856i	0.00115324	−	0.00167076i	0.823560	+	0.567229i	$0.191985\pi$
$594$	4.15036	−	10.9436i	0.170291	−	0.449021i
$595$	−0.0603236	−	0.0873938i	−0.00247303	−	0.00358280i
$596$	35.9557	+	8.86229i	1.47280	+	0.363014i
$597$	−2.48518	−	1.30432i	−0.101712	−	0.0533824i
$598$	16.4969			0.674609
$599$	−8.94234			−0.365374			−0.182687	−	0.983171i	$-0.558480\pi$
$599$	−8.94234			−0.365374			−0.182687	+	0.983171i	$0.558480\pi$
$600$	−8.53112	−	4.47748i	−0.348282	−	0.182792i
$601$	1.82008	+	14.9897i	0.0742426	+	0.611443i	0.981582	+	0.191043i	$0.0611870\pi$
$601$	1.82008	+	14.9897i	0.0742426	+	0.611443i	−0.907339	+	0.420400i	$0.861890\pi$
$602$	−11.7167	+	16.9745i	−0.477536	+	0.691830i
$603$	−24.3198	−	21.5455i	−0.990378	−	0.877399i
$604$	−70.5353	−	17.3854i	−2.87004	−	0.707402i
$605$	−1.09642	+	0.971340i	−0.0445756	+	0.0394906i
$606$	0.000334072	0	0.000880876i	1.35708e−5	0	3.57832e-5i
$607$	0.807930	+	6.65390i	0.0327929	+	0.270073i	0.999878	+	0.0156205i	$0.00497235\pi$
$607$	0.807930	+	6.65390i	0.0327929	+	0.270073i	−0.967085	+	0.254453i	$0.918105\pi$
$608$	−56.3434	+	49.9159i	−2.28503	+	2.02436i
$609$	0.102325	+	0.0906520i	0.00414641	+	0.00367340i
$610$	−12.7337	+	6.68319i	−0.515574	+	0.270594i
$611$	−43.6261	−	38.6494i	−1.76492	−	1.56359i
$612$	−2.46585			−0.0996761
$613$	30.0453	−	26.6178i	1.21352	−	1.07508i	0.218455	−	0.975847i	$-0.429898\pi$
$613$	30.0453	−	26.6178i	1.21352	−	1.07508i	0.995064	−	0.0992364i	$-0.0316400\pi$
$614$	46.1702	−	40.9032i	1.86328	−	1.65072i
$615$	−0.532587	−	0.771585i	−0.0214760	−	0.0311133i
$616$	6.49907	−	53.5246i	0.261855	−	2.15657i
$617$	−23.4866	−	20.8073i	−0.945533	−	0.837669i	0.0413436	−	0.999145i	$-0.486836\pi$
$617$	−23.4866	−	20.8073i	−0.945533	−	0.837669i	−0.986877	+	0.161476i	$0.948375\pi$
$618$	−5.90173	−	5.22848i	−0.237403	−	0.210320i
$619$	−11.7156	+	30.8914i	−0.470889	+	1.24163i	0.463729	+	0.885977i	$0.346511\pi$
$619$	−11.7156	+	30.8914i	−0.470889	+	1.24163i	−0.934618	+	0.355654i	$0.884258\pi$
$620$	−3.49111	+	3.09285i	−0.140206	+	0.124212i
$621$	0.845566	−	0.749107i	0.0339314	−	0.0300606i
$622$	28.4403	−	74.9908i	1.14035	−	3.00686i
$623$	−1.86050	−	15.3226i	−0.0745392	−	0.613886i
$624$	20.2108	−	4.98150i	0.809078	−	0.199420i
$625$	−15.3176	+	13.5702i	−0.612705	+	0.542809i
$626$	−14.8492	−	7.79346i	−0.593494	−	0.311489i
$627$	1.52097	−	0.798268i	0.0607418	−	0.0318797i
$628$	0.849663	+	2.24038i	0.0339053	+	0.0894008i
$629$	−0.940345	+	1.36233i	−0.0374940	+	0.0543195i
$630$	−6.22268			−0.247918
$631$	4.48227	−	11.8188i	0.178437	−	0.470499i	−0.815720	−	0.578447i	$-0.803659\pi$
$631$	4.48227	−	11.8188i	0.178437	−	0.470499i	0.994156	+	0.107949i	$0.0344282\pi$
$632$	−81.0145	+	71.7726i	−3.22259	+	2.85496i
$633$	−3.80454			−0.151217
$634$	74.9950			2.97843
$635$	−2.31118	−	3.34832i	−0.0917164	−	0.132874i
$636$	−1.20688	+	9.93953i	−0.0478558	+	0.394128i
$637$	29.6284	+	7.30274i	1.17392	+	0.289345i
$638$	−5.38393	−	1.32702i	−0.213152	−	0.0525372i
$639$	4.28914	−	35.3242i	0.169676	−	1.39741i
$640$	31.2589	−	27.6929i	1.23562	−	1.09466i
$641$	−6.19367	+	8.97308i	−0.244635	+	0.354415i	−0.925997	−	0.377532i	$-0.876773\pi$
$641$	−6.19367	+	8.97308i	−0.244635	+	0.354415i	0.681361	+	0.731947i	$0.261388\pi$
$642$	2.98877	+	4.32999i	0.117958	+	0.170891i
$643$	−14.2068	−	37.4602i	−0.560261	−	1.47729i	−0.853420	−	0.521224i	$-0.825476\pi$
$643$	−14.2068	−	37.4602i	−0.560261	−	1.47729i	0.293159	−	0.956064i	$-0.405294\pi$
$644$	4.48615	−	6.49931i	0.176779	−	0.256109i
$645$	0.574825			0.0226337
$646$	−0.730921	−	0.647540i	−0.0287577	−	0.0254771i
$647$	29.4207	+	26.0645i	1.15665	+	1.02470i	0.999310	+	0.0371548i	$0.0118295\pi$
$647$	29.4207	+	26.0645i	1.15665	+	1.02470i	0.157337	+	0.987545i	$0.449709\pi$
$648$	−53.4269	+	77.4022i	−2.09881	+	3.04064i
$649$	13.1226	−	19.0113i	0.515106	−	0.746261i
$650$	9.33293	−	76.8636i	0.366068	−	3.01484i
$651$	−0.129579	+	0.341671i	−0.00507859	+	0.0133911i
$652$	−4.87507	−	40.1498i	−0.190923	−	1.57239i
$653$	23.4527	−	5.78057i	0.917775	−	0.226211i	0.247987	−	0.968763i	$-0.420231\pi$
$653$	23.4527	−	5.78057i	0.917775	−	0.226211i	0.669788	+	0.742552i	$0.266385\pi$
$654$	−4.26624			−0.166823
$655$	1.70310	−	2.46737i	0.0665458	−	0.0964082i
$656$	−161.352	+	39.7698i	−6.29976	+	1.55275i
$657$	−42.9464	−	10.5853i	−1.67550	−	0.412974i
$658$	−36.3290	+	8.95431i	−1.41625	+	0.349075i
$659$	−23.9016	+	12.5445i	−0.931074	+	0.488665i	−0.860846	−	0.508866i	$-0.830065\pi$
$659$	−23.9016	+	12.5445i	−0.931074	+	0.488665i	−0.0702281	+	0.997531i	$0.522373\pi$
$660$	−2.01912	+	1.05972i	−0.0785943	+	0.0412495i
$661$	11.4803	+	16.6320i	0.446530	+	0.646911i	0.980021	−	0.198895i	$-0.0637354\pi$
$661$	11.4803	+	16.6320i	0.446530	+	0.646911i	−0.533491	+	0.845806i	$0.679120\pi$
$662$	−19.1968	+	50.6178i	−0.746105	+	1.96732i
$663$	0.0561010	+	0.147926i	0.00217878	+	0.00574497i
$664$	−115.358			−4.47675
$665$	−1.37544	−	1.21854i	−0.0533374	−	0.0472528i
$666$	34.3972	+	90.6979i	1.33286	+	3.51447i
$667$	−0.400603	−	0.354903i	−0.0155114	−	0.0137419i
$668$	4.54858	+	11.9936i	0.175990	+	0.464047i
$669$	0.845790	−	0.443905i	0.0327001	−	0.0171624i
$670$	2.05887	+	16.9563i	0.0795410	+	0.655079i
$671$	4.10787	−	33.8313i	0.158582	−	1.30604i
$672$	2.77623	−	7.32031i	0.107095	−	0.282387i
$673$	−0.557785	−	0.494154i	−0.0215010	−	0.0190482i	0.652304	−	0.757958i	$-0.273803\pi$
$673$	−0.557785	−	0.494154i	−0.0215010	−	0.0190482i	−0.673805	+	0.738909i	$0.735341\pi$
$674$	−8.94295	−	12.9561i	−0.344469	−	0.499050i
$675$	−3.01192	−	4.36352i	−0.115929	−	0.167952i
$676$	72.0840	+	104.432i	2.77246	+	4.01661i
$677$	−6.57711	+	9.52858i	−0.252779	+	0.366213i	−0.928745	−	0.370719i	$-0.879111\pi$
$677$	−6.57711	+	9.52858i	−0.252779	+	0.366213i	0.675966	+	0.736933i	$0.263727\pi$
$678$	−2.02321	−	2.93113i	−0.0777010	−	0.112569i
$679$	−3.40010	+	8.96532i	−0.130484	+	0.344058i
$680$	0.639406	+	0.566465i	0.0245201	+	0.0217229i
$681$	−1.39508	−	0.343857i	−0.0534597	−	0.0131766i
$682$	−1.78662	−	14.7141i	−0.0684131	−	0.563432i
$683$	17.7842	+	9.33388i	0.680494	+	0.357151i	0.769291	−	0.638899i	$-0.220610\pi$
$683$	17.7842	+	9.33388i	0.680494	+	0.357151i	−0.0887966	+	0.996050i	$0.528302\pi$
$684$	−41.4300	+	10.2116i	−1.58412	+	0.390450i
$685$	1.57765	−	0.828013i	0.0602788	−	0.0316367i
$686$	34.4592	−	30.5282i	1.31566	−	1.16557i
$687$	2.35423	+	3.41069i	0.0898194	+	0.130126i
$688$	36.1302	−	95.2674i	1.37745	−	3.63204i
$689$	−51.4828	+	12.6894i	−1.96134	+	0.483426i
$690$	−0.295151			−0.0112362
$691$	17.4969	+	25.3486i	0.665613	+	0.964306i	0.999763	+	0.0217865i	$0.00693540\pi$
$691$	17.4969	+	25.3486i	0.665613	+	0.964306i	−0.334150	+	0.942520i	$0.608449\pi$
$692$	49.9277	+	12.3061i	1.89796	+	0.467806i
$693$	8.37690	−	12.1360i	0.318212	−	0.461010i
$694$	−0.450648	+	3.71142i	−0.0171064	+	0.140884i
$695$	2.26051	−	5.96049i	0.0857462	−	0.226094i
$696$	−0.973733	−	0.511055i	−0.0369093	−	0.0193715i
$697$	−0.447882	−	1.18097i	−0.0169647	−	0.0447323i
$698$	−9.88915	−	26.0755i	−0.374310	−	0.986974i
$699$	−0.505368	−	4.16208i	−0.0191148	−	0.157424i
$700$	−27.7441	−	24.5791i	−1.04863	−	0.929003i
$701$	−2.64846	−	21.8121i	−0.100031	−	0.823830i	−0.953230	−	0.302245i	$-0.902264\pi$
$701$	−2.64846	−	21.8121i	−0.100031	−	0.823830i	0.853199	−	0.521585i	$-0.174659\pi$
$702$	18.1117	+	4.46414i	0.683584	+	0.168488i
$703$	−10.1576	+	26.7833i	−0.383099	+	1.01015i
$704$	21.6633	+	178.414i	0.816467	+	6.72421i
$705$	0.780527	+	0.691487i	0.0293963	+	0.0260429i
$706$	−40.3044	+	58.3910i	−1.51688	+	2.19757i
$707$	0.000287881		0.00237091i	1.08269e−5		8.91673e-5i
$708$	5.20381	−	4.61017i	0.195571	−	0.173261i
$709$	3.89936	−	2.04654i	0.146444	−	0.0768596i	−0.389910	−	0.920853i	$-0.627494\pi$
$709$	3.89936	−	2.04654i	0.146444	−	0.0768596i	0.536353	+	0.843994i	$0.319801\pi$
$710$	−14.0022	+	12.4049i	−0.525493	+	0.465546i
$711$	−28.7417	+	7.08418i	−1.07790	+	0.265678i
$712$	44.0295	+	116.096i	1.65008	+	4.35089i
$713$	0.507301	−	1.33764i	0.0189986	−	0.0500951i
$714$	0.0986123	+	0.0243057i	0.00369047	+	0.000909620i
$715$	−9.03896	−	8.00782i	−0.338038	−	0.299476i
$716$	7.04744	−	58.0409i	0.263375	−	2.16909i
$717$	3.80662	+	0.938249i	0.142161	+	0.0350395i
$718$	3.53168	−	29.0860i	0.131801	−	1.08548i
$719$	−3.22213	+	26.5366i	−0.120165	+	0.989650i	0.800510	+	0.599320i	$0.204562\pi$
$719$	−3.22213	+	26.5366i	−0.120165	+	0.989650i	−0.920675	+	0.390330i	$0.872361\pi$
$720$	29.8462	−	7.35644i	1.11230	−	0.274158i
$721$	−11.3547	−	16.4502i	−0.422873	−	0.612637i
$722$	32.2178	+	16.9092i	1.19902	+	0.629296i
$723$	0.562848	−	4.63547i	0.0209325	−	0.172395i
$724$	1.33867	−	3.52979i	0.0497514	−	0.131184i
$725$	−1.88022	+	1.66573i	−0.0698298	+	0.0618638i
$726$	0.168867	−	1.39075i	0.00626725	−	0.0516154i
$727$	14.4599	+	7.58916i	0.536290	+	0.281467i	0.711046	−	0.703145i	$-0.248222\pi$
$727$	14.4599	+	7.58916i	0.536290	+	0.281467i	−0.174757	+	0.984612i	$0.555914\pi$
$728$	85.9326			3.18488
$729$	−22.2073	+	11.6553i	−0.822494	+	0.431678i
$730$	13.2093	+	19.1370i	0.488898	+	0.708290i
$731$	0.751890	+	0.185324i	0.0278097	+	0.00685447i
$732$	3.63700	−	9.58999i	0.134427	−	0.354456i
$733$	−4.86633	−	7.05009i	−0.179742	−	0.260401i	0.722748	−	0.691111i	$-0.242879\pi$
$733$	−4.86633	−	7.05009i	−0.179742	−	0.260401i	−0.902490	+	0.430710i	$0.858263\pi$
$734$	−7.46285	−	1.83943i	−0.275459	−	0.0678945i
$735$	−0.530090	−	0.130655i	−0.0195527	−	0.00481930i
$736$	−10.8689	+	28.6590i	−0.400634	+	1.05639i
$737$	−35.8413	−	18.8110i	−1.32023	−	0.692911i
$738$	−71.8622	−	17.7124i	−2.64528	−	0.652004i
$739$	−2.03141	−	16.7302i	−0.0747266	−	0.615429i	−0.981176	−	0.193115i	$-0.938141\pi$
$739$	−2.03141	−	16.7302i	−0.0747266	−	0.615429i	0.906450	−	0.422314i	$-0.138782\pi$
$740$	13.4844	−	35.5554i	0.495696	−	1.30704i
$741$	1.55517	+	2.25306i	0.0571307	+	0.0827681i
$742$	−12.0705	+	31.8273i	−0.443122	+	1.16842i
$743$	−0.559814	+	0.811031i	−0.0205376	+	0.0297538i	−0.833118	−	0.553095i	$-0.813447\pi$
$743$	−0.559814	+	0.811031i	−0.0205376	+	0.0297538i	0.812581	+	0.582849i	$0.198062\pi$
$744$	0.354322	−	2.91810i	0.0129901	−	0.106983i
$745$	−0.422922	−	3.48307i	−0.0154947	−	0.127610i
$746$	29.3878	−	15.4239i	1.07596	−	0.564709i
$747$	−27.9362	−	14.6621i	−1.02213	−	0.536457i
$748$	−2.98274	+	0.735179i	−0.109060	+	0.0268808i
$749$	4.72975	+	12.4713i	0.172821	+	0.455692i
$750$	−0.344946	+	2.84088i	−0.0125956	+	0.103734i
$751$	−37.5905	−	33.3023i	−1.37170	−	1.21522i	−0.951448	−	0.307811i	$-0.900404\pi$
$751$	−37.5905	−	33.3023i	−1.37170	−	1.21522i	−0.420251	−	0.907408i	$-0.638058\pi$
$752$	163.662	−	85.8962i	5.96812	−	3.13231i
$753$	−2.04490	−	0.504023i	−0.0745204	−	0.0183676i
$754$	1.06525	−	8.77313i	0.0387942	−	0.319499i
$755$	0.829657	+	6.83284i	0.0301943	+	0.248672i
$756$	6.68403	−	5.92153i	0.243096	−	0.215364i
$757$	−0.608413	+	5.01073i	−0.0221131	+	0.182118i	−0.999580	−	0.0289695i	$-0.990777\pi$
$757$	−0.608413	+	5.01073i	−0.0221131	+	0.182118i	0.977467	+	0.211088i	$0.0677005\pi$
$758$	6.81191	−	1.67898i	0.247420	−	0.0609835i
$759$	0.397329	−	0.575630i	0.0144221	−	0.0208940i
$760$	13.0888	+	6.86955i	0.474782	+	0.249185i
$761$	−31.7963	−	28.1691i	−1.15262	−	1.02113i	−0.999458	−	0.0329260i	$-0.989517\pi$
$761$	−31.7963	−	28.1691i	−1.15262	−	1.02113i	−0.153157	−	0.988202i	$-0.548944\pi$
$762$	3.77814	+	0.931228i	0.136868	+	0.0337348i
$763$	−10.5011	−	2.58830i	−0.380167	−	0.0937026i
$764$	33.6004	−	48.6786i	1.21562	−	1.76113i
$765$	0.0828471	+	0.218450i	0.00299534	+	0.00789807i
$766$	38.5043	+	9.49045i	1.39122	+	0.342904i
$767$	32.5998	+	17.1097i	1.17711	+	0.617795i
$768$	−2.59099	+	21.3387i	−0.0934943	+	0.769995i
$769$	−0.576308	−	4.74633i	−0.0207822	−	0.171157i	0.978622	−	0.205666i	$-0.0659362\pi$
$769$	−0.576308	−	4.74633i	−0.0207822	−	0.171157i	−0.999404	+	0.0345095i	$0.989013\pi$
$770$	−7.52707	+	1.85526i	−0.271257	+	0.0668588i
$771$	0.0704774			0.00253818
$772$	33.2426	−	48.1602i	1.19643	−	1.73332i
$773$	40.2453	+	21.1223i	1.44752	+	0.759718i	0.991482	−	0.130242i	$-0.0415754\pi$
$773$	40.2453	+	21.1223i	1.44752	+	0.759718i	0.456039	+	0.889960i	$0.349268\pi$
$774$	33.9663	−	30.0915i	1.22089	−	1.08162i
$775$	−5.94544	−	3.12041i	−0.213567	−	0.112088i
$776$	9.29728	−	76.5700i	0.333753	−	2.74870i
$777$	−0.359111	−	2.95755i	−0.0128830	−	0.106101i
$778$	−37.4086	−	33.1412i	−1.34116	−	1.18817i
$779$	−12.4157	−	17.9873i	−0.444839	−	0.644460i
$780$	−2.06453	−	2.99098i	−0.0739219	−	0.107094i
$781$	−5.34349	−	44.0076i	−0.191205	−	1.57472i
$782$	−0.386068	−	0.0951571i	−0.0138057	−	0.00340281i
$783$	−0.343778	−	0.498048i	−0.0122856	−	0.0177988i
$784$	−54.9723	+	79.6411i	−1.96330	+	2.84433i
$785$	0.169928	−	0.150543i	0.00606501	−	0.00537313i
$786$	0.345630	+	2.84652i	0.0123282	+	0.101532i
$787$	48.4734	+	11.9476i	1.72789	+	0.425887i	0.973157	−	0.230143i	$-0.0739195\pi$
$787$	48.4734	+	11.9476i	1.72789	+	0.425887i	0.754735	+	0.656030i	$0.227766\pi$
$788$	−23.0991	+	5.69342i	−0.822872	+	0.202820i
$789$	−0.274530	−	0.723875i	−0.00977352	−	0.0257706i
$790$	13.7795	+	7.23203i	0.490252	+	0.257304i
$791$	−3.20174	−	8.44230i	−0.113841	−	0.300174i
$792$	−42.0649	+	110.916i	−1.49471	+	3.94123i
$793$	54.3155			1.92880
$794$	−6.04471	+	8.75728i	−0.214519	+	0.310784i
$795$	0.921092	−	0.227029i	0.0326678	−	0.00805188i
$796$	76.9097	+	40.3653i	2.72599	+	1.43071i
$797$	30.2265	−	7.45016i	1.07068	−	0.263898i	0.335685	−	0.941974i	$-0.391032\pi$
$797$	30.2265	−	7.45016i	1.07068	−	0.263898i	0.734992	+	0.678076i	$0.237186\pi$
$798$	1.75749			0.0622145
$799$	0.798020	+	1.15613i	0.0282319	+	0.0409010i
$800$	127.381	+	66.8548i	4.50361	+	2.36368i
$801$	−4.09329	+	33.7113i	−0.144629	+	1.19113i
$802$	27.4374	+	39.7499i	0.968847	+	1.40362i
$803$	−55.1048			−1.94461
$804$	−9.11836	−	8.07816i	−0.321580	−	0.284895i
$805$	−0.726499	−	0.179066i	−0.0256057	−	0.00631125i
$806$	22.9367	−	5.65340i	0.807912	−	0.199132i
$807$	2.16438	+	3.13565i	0.0761898	+	0.110380i
$808$	−0.00681284	−	0.0179640i	−0.000239675	−	0.000631970i
$809$	1.89535	−	15.6096i	0.0666371	−	0.548806i	−0.920712	−	0.390243i	$-0.872391\pi$
$809$	1.89535	−	15.6096i	0.0666371	−	0.548806i	0.987349	−	0.158563i	$-0.0506860\pi$
$810$	13.1297	+	3.23619i	0.461332	+	0.113708i
$811$	51.6236	−	12.7241i	1.81275	−	0.446803i	0.820562	−	0.571558i	$-0.193661\pi$
$811$	51.6236	−	12.7241i	1.81275	−	0.446803i	0.992188	+	0.124755i	$0.0398144\pi$
$812$	−3.16668	−	2.80543i	−0.111129	−	0.0984514i
$813$	1.76759			0.0619922
$814$	68.6485	+	99.4545i	2.40613	+	3.48588i
$815$	−3.39308	+	1.78083i	−0.118855	+	0.0623797i
$816$	−0.501714			−0.0175635
$817$	13.4004			0.468819
$818$	−61.7988	−	89.5310i	−2.16074	−	3.13038i
$819$	20.8103	+	10.9221i	0.727172	+	0.381649i
$820$	16.4821	+	23.8785i	0.575581	+	0.833873i
$821$	22.5314	+	11.8254i	0.786351	+	0.412709i	0.809571	−	0.587021i	$-0.199700\pi$
$821$	22.5314	+	11.8254i	0.786351	+	0.412709i	−0.0232203	+	0.999730i	$0.507392\pi$
$822$	−0.604277	+	1.59335i	−0.0210766	+	0.0555744i
$823$	−3.39876	+	0.837718i	−0.118473	+	0.0292010i	−0.298106	−	0.954533i	$-0.596355\pi$
$823$	−3.39876	+	0.837718i	−0.118473	+	0.0292010i	0.179633	+	0.983734i	$0.442509\pi$
$824$	120.356	+	106.626i	4.19279	+	3.71449i
$825$	−2.45723	−	2.17692i	−0.0855498	−	0.0757905i
$826$	20.9280	−	10.9838i	0.728177	−	0.382177i
$827$	−17.2539	+	15.2856i	−0.599977	+	0.531533i	−0.907524	−	0.419999i	$-0.862030\pi$
$827$	−17.2539	+	15.2856i	−0.599977	+	0.531533i	0.307547	+	0.951533i	$0.400492\pi$
$828$	−13.0052	+	11.5216i	−0.451963	+	0.400404i
$829$	−17.0213	−	8.93348i	−0.591175	−	0.310273i	0.142477	−	0.989798i	$-0.454493\pi$
$829$	−17.0213	−	8.93348i	−0.591175	−	0.310273i	−0.733652	+	0.679525i	$0.762186\pi$
$830$	5.88156	+	15.5084i	0.204152	+	0.538305i
$831$	−1.45145	+	0.761779i	−0.0503502	+	0.0264258i
$832$	−278.116	+	68.5494i	−9.64193	+	2.37652i
$833$	−0.651252	−	0.341803i	−0.0225645	−	0.0118428i
$834$	2.16200	+	5.70073i	0.0748640	+	0.197400i
$835$	0.909694	−	0.805918i	0.0314812	−	0.0278899i
$836$	−47.0700	+	24.7042i	−1.62795	+	0.854414i
$837$	0.918931	−	1.33130i	0.0317629	−	0.0460165i
$838$	65.2288	−	34.2347i	2.25329	−	1.18262i
$839$	−49.1605			−1.69721			−0.848604	−	0.529029i	$-0.822556\pi$
$839$	−49.1605			−1.69721			−0.848604	+	0.529029i	$0.822556\pi$
$840$	−1.53744			−0.0530469
$841$	21.4922	−	19.0404i	0.741111	−	0.656567i
$842$	−59.5569	−	14.6795i	−2.05247	−	0.505887i
$843$	−0.171290	+	0.451654i	−0.00589953	+	0.0155558i
$844$	117.740			4.05279
$845$	6.82975	−	9.89460i	0.234951	−	0.340385i
$846$	82.3198			2.83021
$847$	1.25941	−	3.32080i	0.0432740	−	0.114104i
$848$	20.2684	−	166.925i	0.696019	−	5.73223i
$849$	0.180303	−	0.0946304i	0.00618799	−	0.00324771i
$850$	−0.661776	+	1.74496i	−0.0226987	+	0.0598516i
$851$	1.40592	+	11.5788i	0.0481944	+	0.396917i
$852$	1.60815	−	13.2443i	0.0550944	−	0.453743i
$853$	−0.513583	−	4.22973i	−0.0175847	−	0.144823i	0.981272	−	0.192627i	$-0.0617008\pi$
$853$	−0.513583	−	4.22973i	−0.0175847	−	0.144823i	−0.998857	+	0.0478039i	$0.984778\pi$
$854$	19.8077	−	28.6964i	0.677805	−	0.981970i
$855$	2.29660	+	3.32720i	0.0785421	+	0.113788i
$856$	−60.9510	−	88.3027i	−2.08326	−	3.01813i
$857$	3.87371	+	2.03308i	0.132323	+	0.0694486i	0.529586	−	0.848256i	$-0.322347\pi$
$857$	3.87371	+	2.03308i	0.132323	+	0.0694486i	−0.397262	+	0.917705i	$0.630040\pi$
$858$	11.5497			0.394299
$859$	29.2586	−	1.71274i	0.998291	−	0.0584381i
$859$	29.2586	−	1.71274i	0.998291	−	0.0584381i
$860$	−17.7893			−0.606609
$861$	2.01283	+	1.05641i	0.0685969	+	0.0360024i
$862$	−5.80207	−	8.40575i	−0.197619	−	0.286301i
$863$	−15.3600	−	22.2529i	−0.522862	−	0.757496i	0.469221	−	0.883081i	$-0.344535\pi$
$863$	−15.3600	−	22.2529i	−0.522862	−	0.757496i	−0.992083	+	0.125585i	$0.959919\pi$
$864$	−19.6881	+	28.5232i	−0.669804	+	0.970378i
$865$	−0.587264	−	4.83655i	−0.0199676	−	0.164448i
$866$	−3.12938	+	25.7728i	−0.106341	+	0.875795i
$867$	0.387852	+	3.19425i	0.0131722	+	0.108482i
$868$	4.01011	−	10.5738i	0.136112	−	0.358898i
$869$	−32.6543	+	17.1383i	−1.10772	+	0.581378i
$870$	−0.0190587	+	0.156963i	−0.000646151	+	0.00532153i
$871$	22.8764	−	60.3202i	0.775138	−	2.04387i
$872$	87.0027			2.94628
$873$	11.9836	−	17.3613i	0.405584	−	0.587590i
$874$	−6.88058			−0.232739
$875$	−2.57261	+	6.78341i	−0.0869701	+	0.229321i
$876$	−16.1022	−	3.96883i	−0.544042	−	0.134094i
$877$	−24.1161	+	21.3650i	−0.814344	+	0.721446i	−0.963599	−	0.267353i	$-0.913851\pi$
$877$	−24.1161	+	21.3650i	−0.814344	+	0.721446i	0.149254	+	0.988799i	$0.452313\pi$
$878$	12.7868			0.431534
$879$	3.60935			0.121740
$880$	33.9093	−	17.7970i	1.14308	−	0.599936i
$881$	−16.5613	+	23.9932i	−0.557964	+	0.808351i	−0.995881	−	0.0906646i	$-0.971101\pi$
$881$	−16.5613	+	23.9932i	−0.557964	+	0.808351i	0.437917	+	0.899015i	$0.355716\pi$
$882$	−38.1626	+	20.0293i	−1.28500	+	0.674420i
$883$	−11.1679	+	9.89386i	−0.375829	+	0.332955i	−0.829800	−	0.558061i	$-0.811545\pi$
$883$	−11.1679	+	9.89386i	−0.375829	+	0.332955i	0.453971	+	0.891016i	$0.350007\pi$
$884$	−1.73617	−	4.57791i	−0.0583938	−	0.153972i
$885$	−0.583252	−	0.306114i	−0.0196058	−	0.0102899i
$886$	74.7614	−	18.4270i	2.51166	−	0.619069i
$887$	33.6012	−	17.6353i	1.12822	−	0.592134i	0.205902	−	0.978573i	$-0.433987\pi$
$887$	33.6012	−	17.6353i	1.12822	−	0.592134i	0.922315	+	0.386438i	$0.126295\pi$
$888$	8.49854	+	22.4088i	0.285192	+	0.751991i
$889$	8.73473	+	4.58434i	0.292953	+	0.153754i
$890$	13.3628	−	11.8384i	0.447923	−	0.396825i
$891$	−23.9866	+	21.2503i	−0.803581	+	0.711911i
$892$	−26.1749	+	13.7377i	−0.876401	+	0.459971i
$893$	18.1957	+	16.1200i	0.608896	+	0.539435i
$894$	2.51181	+	2.22527i	0.0840076	+	0.0744243i
$895$	−5.37862	+	1.32571i	−0.179788	+	0.0443137i
$896$	−35.9059	+	94.6762i	−1.19953	+	3.16291i
$897$	0.987064	+	0.518051i	0.0329571	+	0.0172972i
$898$	−24.0970	−	34.9106i	−0.804128	−	1.16498i
$899$	−0.678607	−	0.356160i	−0.0226328	−	0.0118786i
$900$	46.3248	+	67.1131i	1.54416	+	2.23710i
$901$	1.27801			0.0425768
$902$	−92.2067			−3.07015
$903$	−1.23410	+	0.647703i	−0.0410681	+	0.0215542i
$904$	41.2600	+	59.7754i	1.37229	+	1.98810i
$905$	−0.357681			−0.0118897
$906$	−4.92749	−	4.36538i	−0.163705	−	0.145030i
$907$	−38.0668	+	9.38263i	−1.26399	+	0.311545i	−0.813672	−	0.581324i	$-0.802535\pi$
$907$	−38.0668	+	9.38263i	−1.26399	+	0.311545i	−0.450316	+	0.892869i	$0.648689\pi$
$908$	43.1740	+	10.6414i	1.43278	+	0.353149i
$909$	0.000633368	−	0.00521626i	2.10075e−5	−	0.000173012i
$910$	−4.38131	−	11.5526i	−0.145239	−	0.382964i
$911$	−1.67044	−	2.42005i	−0.0553442	−	0.0801799i	0.794335	−	0.607480i	$-0.207820\pi$
$911$	−1.67044	−	2.42005i	−0.0553442	−	0.0801799i	−0.849679	+	0.527300i	$0.823204\pi$
$912$	−8.42956	+	2.07770i	−0.279131	+	0.0687995i
$913$	−38.1636	−	9.40648i	−1.26303	−	0.311309i
$914$	−66.9168	−	59.2831i	−2.21341	−	1.96091i
$915$	−0.971773			−0.0321258
$916$	−72.8570	−	105.552i	−2.40726	−	3.48752i
$917$	−0.876211	+	7.21625i	−0.0289351	+	0.238302i
$918$	−0.398108	−	0.208943i	−0.0131395	−	0.00689616i
$919$	−18.6779	−	27.0597i	−0.616128	−	0.892616i	0.383392	−	0.923586i	$-0.374756\pi$
$919$	−18.6779	−	27.0597i	−0.616128	−	0.892616i	−0.999520	+	0.0309696i	$0.990140\pi$
$920$	6.01910			0.198444
$921$	4.04699	−	0.997493i	0.133353	−	0.0328685i
$922$	−51.9055	−	27.2421i	−1.70942	−	0.897171i
$923$	68.6002	−	16.9084i	2.25800	−	0.556548i
$924$	3.14080	−	4.55024i	0.103325	−	0.149692i
$925$	54.7442			1.79998
$926$	16.5386	−	43.6088i	0.543494	−	1.43307i
$927$	15.5944	+	41.1189i	0.512186	+	1.35052i
$928$	14.5392	+	7.63074i	0.477271	+	0.250491i
$929$	−18.0080	−	47.4831i	−0.590822	−	1.55787i	−0.812630	−	0.582780i	$-0.801965\pi$
$929$	−18.0080	−	47.4831i	−0.590822	−	1.55787i	0.221807	−	0.975091i	$-0.428804\pi$
$930$	−0.410367	+	0.101146i	−0.0134565	+	0.00331672i
$931$	−12.3575	−	3.04585i	−0.405001	−	0.0998237i
$932$	15.6398	+	128.805i	0.512298	+	4.21915i
$933$	4.05660	−	3.59383i	0.132807	−	0.117657i
$934$	25.8513	−	37.4521i	0.845880	−	1.22547i
$935$	0.165343	+	0.239541i	0.00540729	+	0.00783382i
$936$	−183.567	−	45.2452i	−6.00008	−	1.47889i
$937$	−1.55161	−	12.7787i	−0.0506890	−	0.417462i	−0.995861	−	0.0908888i	$-0.971029\pi$
$937$	−1.55161	−	12.7787i	−0.0506890	−	0.417462i	0.945172	−	0.326573i	$-0.105894\pi$
$938$	−23.5263	−	34.0837i	−0.768161	−	1.11287i
$939$	−0.643739	−	0.932616i	−0.0210076	−	0.0304348i
$940$	−24.1552	−	21.3996i	−0.787856	−	0.697979i
$941$	3.44344	+	28.3593i	0.112253	+	0.924486i	0.934649	+	0.355571i	$0.115714\pi$
$941$	3.44344	+	28.3593i	0.112253	+	0.924486i	−0.822396	+	0.568915i	$0.807363\pi$
$942$	−0.0261719	+	0.215545i	−0.000852728	+	0.00702284i
$943$	−7.88022	−	4.13586i	−0.256615	−	0.134682i
$944$	−87.3931	+	77.4235i	−2.84440	+	2.51992i
$945$	−0.749157	−	0.393188i	−0.0243701	−	0.0127904i
$946$	32.1146	−	46.5261i	1.04414	−	1.51269i
$947$	10.3717			0.337036			0.168518	−	0.985699i	$-0.446102\pi$
$947$	10.3717			0.337036			0.168518	+	0.985699i	$0.446102\pi$
$948$	−10.7763	+	2.65611i	−0.349997	+	0.0862666i
$949$	−10.5861	−	87.1841i	−0.343638	−	2.83012i
$950$	−3.89261	+	32.0585i	−0.126293	+	1.04011i
$951$	4.48720	+	2.35506i	0.145507	+	0.0763681i
$952$	−2.01103	−	0.495674i	−0.0651779	−	0.0160649i
$953$	10.5433	+	27.8005i	0.341532	+	0.900546i	0.990223	+	0.139494i	$0.0445476\pi$
$953$	10.5433	+	27.8005i	0.341532	+	0.900546i	−0.648691	+	0.761052i	$0.724683\pi$
$954$	42.5424	−	61.6333i	1.37736	−	1.99545i
$955$	−5.44134	−	1.34117i	−0.176078	−	0.0433992i
$956$	−117.805	−	29.0363i	−3.81008	−	0.939100i
$957$	−0.280466	−	0.248471i	−0.00906617	−	0.00803193i
$958$	−89.1282	−	46.7781i	−2.87960	−	1.51133i
$959$	−2.45407	+	3.55533i	−0.0792461	+	0.114808i
$960$	4.97584	−	1.22644i	0.160595	−	0.0395830i
$961$	−3.48971	+	28.7403i	−0.112571	+	0.927107i
$962$	−144.164	+	127.718i	−4.64804	+	4.11781i
$963$	−3.53717	−	29.1312i	−0.113984	−	0.938740i
$964$	−17.4186	+	143.455i	−0.561016	+	4.62038i
$965$	−5.38340	−	1.32689i	−0.173298	−	0.0427140i
$966$	0.633662	−	0.332571i	0.0203877	−	0.0107003i
$967$	−21.6300	−	19.1625i	−0.695574	−	0.616225i	0.239409	−	0.970919i	$-0.423046\pi$
$967$	−21.6300	−	19.1625i	−0.695574	−	0.616225i	−0.934982	+	0.354694i	$0.884585\pi$
$968$	−3.44376	+	28.3619i	−0.110687	+	0.911586i
$969$	−0.0233987	−	0.0616974i	−0.000751676	−	0.00198201i
$970$	−10.7679	+	2.65405i	−0.345736	+	0.0852164i
$971$	−11.9494	−	6.27154i	−0.383475	−	0.201263i	0.261959	−	0.965079i	$-0.415631\pi$
$971$	−11.9494	−	6.27154i	−0.383475	−	0.201263i	−0.645434	+	0.763816i	$0.723324\pi$
$972$	−26.1465	+	13.7227i	−0.838648	+	0.440156i
$973$	1.86307	+	15.3437i	0.0597271	+	0.491897i
$974$	10.2729	−	84.6052i	0.329166	−	2.71093i
$975$	2.97216	−	4.30592i	0.0951853	−	0.137900i
$976$	−61.0800	+	161.055i	−1.95512	+	5.15524i
$977$	−4.23441	−	6.13460i	−0.135471	−	0.196263i	0.749377	−	0.662144i	$-0.230353\pi$
$977$	−4.23441	−	6.13460i	−0.135471	−	0.196263i	−0.884848	+	0.465880i	$0.845738\pi$
$978$	1.29963	−	3.42685i	0.0415577	−	0.109579i
$979$	5.09950	+	41.9982i	0.162981	+	1.34227i
$980$	16.4049	+	4.04343i	0.524034	+	0.129163i
$981$	21.0695	+	11.0581i	0.672696	+	0.353058i
$982$	31.1185	−	82.0529i	0.993033	−	2.61841i
$983$	−20.6411	−	5.08758i	−0.658350	−	0.162269i	−0.104032	−	0.994574i	$-0.533175\pi$
$983$	−20.6411	−	5.08758i	−0.658350	−	0.162269i	−0.554318	+	0.832305i	$0.687021\pi$
$984$	−17.7551	−	4.37623i	−0.566011	−	0.139509i
$985$	1.28046	+	1.85507i	0.0407988	+	0.0591073i
$986$	−0.0755344	+	0.199168i	−0.00240551	+	0.00634280i
$987$	−2.45488	−	0.605072i	−0.0781395	−	0.0192597i
$988$	−48.1284	−	69.7260i	−1.53117	−	2.21828i
$989$	4.83149	−	2.53576i	0.153632	−	0.0806325i
$990$	17.0560			0.542074
$991$	−7.77075	−	4.07840i	−0.246846	−	0.129555i	0.336763	−	0.941589i	$-0.390668\pi$
$991$	−7.77075	−	4.07840i	−0.246846	−	0.129555i	−0.583609	+	0.812035i	$0.698360\pi$
$992$	−5.29051	+	43.5712i	−0.167974	+	1.38339i
$993$	−2.73815	+	2.42579i	−0.0868927	+	0.0769802i
$994$	16.0838	−	42.4096i	0.510148	−	1.34515i
$995$	0.991971	−	8.16962i	0.0314476	−	0.258994i
$996$	−10.4743	−	5.49733i	−0.331891	−	0.174190i
$997$	−15.1244	−	21.9115i	−0.478994	−	0.693943i	0.506769	−	0.862082i	$-0.330840\pi$
$997$	−15.1244	−	21.9115i	−0.478994	−	0.693943i	−0.985763	+	0.168139i	$0.946224\pi$
$998$	−31.1164	+	7.66952i	−0.984974	+	0.242774i
$999$	−1.58974	+	13.0927i	−0.0502971	+	0.414234i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	859.2.f.a.524.1	yes	840
859.100	even	13	inner	859.2.f.a.100.1	✓	840

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
859.2.f.a.100.1	✓	840	859.100	even	13	inner
859.2.f.a.524.1	yes	840	1.1	even	1	trivial

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	859.2.f.a.524.1

Level	$859$
Weight	$2$
Character	859.524
Analytic conductor	$6.859$
Analytic rank	$0$
Dimension	$840$
Inner twists	$2$