LMFDB - Embedded newform 592.2.bl.a.51.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [592,2,Mod(51,592)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(592, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 11]))

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

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

chi := DirichletCharacter("592.51");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 592 = 2^{4} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	592.bl (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.72714379966$
Analytic rank:	$0$
Dimension:	$296$
Relative dimension:	$74$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			51.5
Character	$\chi$	$=$	592.51
Dual form			592.2.bl.a.267.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.40488 - 0.162222i) q^{2} +(0.663867 - 2.47758i) q^{3} +(1.94737 + 0.455803i) q^{4} +(-1.07939 + 0.623185i) q^{5} +(-1.33457 + 3.37301i) q^{6} +(2.26443 + 3.92211i) q^{7} +(-2.66188 - 0.956254i) q^{8} +(-3.09963 - 1.78957i) q^{9} +(1.61750 - 0.700399i) q^{10} +(-0.381062 + 0.381062i) q^{11} +(2.42208 - 4.52218i) q^{12} +(2.15865 + 3.73889i) q^{13} +(-2.54500 - 5.87742i) q^{14} +(0.827423 + 3.08799i) q^{15} +(3.58449 + 1.77523i) q^{16} +(0.915677 + 3.41735i) q^{17} +(4.06430 + 3.01696i) q^{18} +(-6.77979 + 3.91431i) q^{19} +(-2.38601 + 0.721582i) q^{20} +(11.2206 - 3.00656i) q^{21} +(0.597162 - 0.473529i) q^{22} +(-5.33564 + 5.33564i) q^{23} +(-4.13633 + 5.96020i) q^{24} +(-1.72328 + 2.98481i) q^{25} +(-2.42611 - 5.60286i) q^{26} +(-1.05040 + 1.05040i) q^{27} +(2.62197 + 8.66992i) q^{28} +4.35304i q^{29} +(-0.661491 - 4.47247i) q^{30} +(3.12077 - 3.12077i) q^{31} +(-4.74779 - 3.07547i) q^{32} +(0.691138 + 1.19709i) q^{33} +(-0.732046 - 4.94951i) q^{34} +(-4.88839 - 2.82232i) q^{35} +(-5.22043 - 4.89778i) q^{36} +(4.23271 - 4.36855i) q^{37} +(10.1598 - 4.39931i) q^{38} +(10.6965 - 2.86611i) q^{39} +(3.46912 - 0.626672i) q^{40} +(-0.975596 - 1.68978i) q^{41} +(-16.2514 + 2.40362i) q^{42} +2.98698 q^{43} +(-0.915757 + 0.568378i) q^{44} +4.46094 q^{45} +(8.36148 - 6.63037i) q^{46} -5.57546i q^{47} +(6.77791 - 7.70235i) q^{48} +(-6.75528 + 11.7005i) q^{49} +(2.90520 - 3.91374i) q^{50} +9.07467 q^{51} +(2.49948 + 8.26491i) q^{52} +(-1.51841 - 5.66677i) q^{53} +(1.64609 - 1.30529i) q^{54} +(0.173841 - 0.648785i) q^{55} +(-2.27710 - 12.6055i) q^{56} +(5.19716 + 19.3961i) q^{57} +(0.706158 - 6.11550i) q^{58} +(6.04223 - 10.4654i) q^{59} +(0.203784 + 6.39059i) q^{60} +(3.36083 - 1.94038i) q^{61} +(-4.89056 + 3.87805i) q^{62} -16.2094i q^{63} +(6.17116 + 5.09086i) q^{64} +(-4.66004 - 2.69047i) q^{65} +(-0.776772 - 1.79388i) q^{66} +(2.81374 - 10.5010i) q^{67} +(0.225519 + 7.07221i) q^{68} +(9.67735 + 16.7617i) q^{69} +(6.40976 + 4.75801i) q^{70} +(0.700086 + 1.21258i) q^{71} +(6.53954 + 7.72765i) q^{72} -7.94508 q^{73} +(-6.65511 + 5.45064i) q^{74} +(6.25109 + 6.25109i) q^{75} +(-14.9869 + 4.53236i) q^{76} +(-2.35745 - 0.631677i) q^{77} +(-15.4922 + 2.29134i) q^{78} +(-1.78608 + 6.66575i) q^{79} +(-4.97535 + 0.317632i) q^{80} +(-3.46358 - 5.99910i) q^{81} +(1.09647 + 2.53220i) q^{82} +(0.944903 + 3.52643i) q^{83} +(23.2211 - 0.740477i) q^{84} +(-3.11801 - 3.11801i) q^{85} +(-4.19634 - 0.484552i) q^{86} +(10.7850 + 2.88984i) q^{87} +(1.37873 - 0.649947i) q^{88} +(3.15367 + 11.7696i) q^{89} +(-6.26707 - 0.723660i) q^{90} +(-9.77621 + 16.9329i) q^{91} +(-12.8225 + 7.95846i) q^{92} +(-5.66020 - 9.80376i) q^{93} +(-0.904460 + 7.83285i) q^{94} +(4.87868 - 8.45012i) q^{95} +(-10.7716 + 9.72134i) q^{96} +(-0.0699619 + 0.0699619i) q^{97} +(11.3884 - 15.3419i) q^{98} +(1.86309 - 0.499213i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 296 q - 6 q^{3} - 12 q^{4} - 6 q^{5} - 4 q^{7} - 8 q^{10} + 8 q^{11} + 28 q^{12} - 2 q^{13} - 12 q^{14} - 12 q^{15} - 12 q^{16} - 8 q^{17} - 14 q^{18} - 6 q^{19} + 2 q^{20} - 6 q^{21} - 30 q^{22} + 30 q^{24}+ \cdots - 48 q^{99}+O(q^{100}) $ 296 * q - 6 * q^3 - 12 * q^4 - 6 * q^5 - 4 * q^7 - 8 * q^10 + 8 * q^11 + 28 * q^12 - 2 * q^13 - 12 * q^14 - 12 * q^15 - 12 * q^16 - 8 * q^17 - 14 * q^18 - 6 * q^19 + 2 * q^20 - 6 * q^21 - 30 * q^22 + 30 * q^24 + 132 * q^25 - 8 * q^26 - 32 * q^28 - 70 * q^30 - 10 * q^32 - 4 * q^33 - 18 * q^34 - 6 * q^35 - 32 * q^36 - 20 * q^37 + 20 * q^38 - 8 * q^39 + 4 * q^40 + 10 * q^42 - 24 * q^43 + 40 * q^44 - 16 * q^45 - 32 * q^46 + 28 * q^48 - 128 * q^49 + 32 * q^50 + 60 * q^51 + 14 * q^52 - 26 * q^53 + 50 * q^54 - 8 * q^55 - 74 * q^56 - 12 * q^57 + 12 * q^58 - 2 * q^59 - 68 * q^60 - 6 * q^61 - 34 * q^62 - 24 * q^64 - 36 * q^65 - 116 * q^66 - 6 * q^67 - 28 * q^68 + 4 * q^69 + 14 * q^70 - 4 * q^71 - 86 * q^72 + 32 * q^73 + 40 * q^74 + 4 * q^75 + 14 * q^76 + 12 * q^77 - 18 * q^78 + 40 * q^79 - 12 * q^80 + 112 * q^81 + 84 * q^82 + 58 * q^83 + 132 * q^84 - 20 * q^85 - 46 * q^86 + 104 * q^87 - 56 * q^88 + 16 * q^89 + 4 * q^90 + 26 * q^91 - 76 * q^92 - 8 * q^93 + 86 * q^94 - 40 * q^95 - 144 * q^96 - 8 * q^97 + 26 * q^98 - 48 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/592\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{11}{12}\right)$	$e\left(\frac{3}{4}\right)$	$-1$

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 $

$2$	−1.40488	−	0.162222i	−0.993399	−	0.114708i
$2$	−1.40488	−	0.162222i	−0.993399	−	0.114708i
$3$	0.663867	−	2.47758i	0.383284	−	1.43043i	−0.457571	−	0.889173i	$-0.651280\pi$
$3$	0.663867	−	2.47758i	0.383284	−	1.43043i	0.840855	−	0.541261i	$-0.182053\pi$
$4$	1.94737	+	0.455803i	0.973684	+	0.227902i
$5$	−1.07939	+	0.623185i	−0.482717	+	0.278697i	−0.721548	−	0.692364i	$-0.756569\pi$
$5$	−1.07939	+	0.623185i	−0.482717	+	0.278697i	0.238831	+	0.971061i	$0.423236\pi$
$6$	−1.33457	+	3.37301i	−0.544836	+	1.37703i
$7$	2.26443	+	3.92211i	0.855874	+	1.48242i	0.875832	+	0.482616i	$0.160313\pi$
$7$	2.26443	+	3.92211i	0.855874	+	1.48242i	−0.0199581	+	0.999801i	$0.506353\pi$
$8$	−2.66188	−	0.956254i	−0.941115	−	0.338087i
$9$	−3.09963	−	1.78957i	−1.03321	−	0.596524i
$10$	1.61750	−	0.700399i	0.511499	−	0.221486i
$11$	−0.381062	+	0.381062i	−0.114894	+	0.114894i	−0.762217	−	0.647322i	$-0.775889\pi$
$11$	−0.381062	+	0.381062i	−0.114894	+	0.114894i	0.647322	+	0.762217i	$0.275889\pi$
$12$	2.42208	−	4.52218i	0.699196	−	1.30544i
$13$	2.15865	+	3.73889i	0.598701	+	1.03698i	0.993013	+	0.118004i	$0.0376496\pi$
$13$	2.15865	+	3.73889i	0.598701	+	1.03698i	−0.394312	+	0.918977i	$0.629017\pi$
$14$	−2.54500	−	5.87742i	−0.680179	−	1.57081i
$15$	0.827423	+	3.08799i	0.213640	+	0.797314i
$16$	3.58449	+	1.77523i	0.896122	+	0.443808i
$17$	0.915677	+	3.41735i	0.222084	+	0.828830i	0.983552	+	0.180627i	$0.0578125\pi$
$17$	0.915677	+	3.41735i	0.222084	+	0.828830i	−0.761468	+	0.648203i	$0.775521\pi$
$18$	4.06430	+	3.01696i	0.957964	+	0.711104i
$19$	−6.77979	+	3.91431i	−1.55539	+	0.898005i	−0.557702	+	0.830041i	$0.688317\pi$
$19$	−6.77979	+	3.91431i	−1.55539	+	0.898005i	−0.997688	+	0.0679638i	$0.978350\pi$
$20$	−2.38601	+	0.721582i	−0.533529	+	0.161351i
$21$	11.2206	−	3.00656i	2.44854	−	0.656085i
$22$	0.597162	−	0.473529i	0.127315	−	0.100957i
$23$	−5.33564	+	5.33564i	−1.11256	+	1.11256i	−0.119755	+	0.992804i	$0.538211\pi$
$23$	−5.33564	+	5.33564i	−1.11256	+	1.11256i	−0.992804	+	0.119755i	$0.961789\pi$
$24$	−4.13633	+	5.96020i	−0.844325	+	1.21662i
$25$	−1.72328	+	2.98481i	−0.344656	+	0.596962i
$26$	−2.42611	−	5.60286i	−0.475799	−	1.09881i
$27$	−1.05040	+	1.05040i	−0.202150	+	0.202150i
$28$	2.62197	+	8.66992i	0.495506	+	1.63846i
$29$			4.35304i			0.808340i	0.914684	+	0.404170i	$0.132440\pi$
$29$			4.35304i			0.808340i	−0.914684	+	0.404170i	$0.867560\pi$
$30$	−0.661491	−	4.47247i	−0.120771	−	0.816558i
$31$	3.12077	−	3.12077i	0.560507	−	0.560507i	−0.368944	−	0.929452i	$-0.620281\pi$
$31$	3.12077	−	3.12077i	0.560507	−	0.560507i	0.929452	+	0.368944i	$0.120281\pi$
$32$	−4.74779	−	3.07547i	−0.839298	−	0.543671i
$33$	0.691138	+	1.19709i	0.120312	+	0.208386i
$34$	−0.732046	−	4.94951i	−0.125545	−	0.848834i
$35$	−4.88839	−	2.82232i	−0.826289	−	0.477058i
$36$	−5.22043	−	4.89778i	−0.870071	−	0.816296i
$37$	4.23271	−	4.36855i	0.695853	−	0.718185i
$37$	4.23271	−	4.36855i	0.695853	−	0.718185i
$38$	10.1598	−	4.39931i	1.64813	−	0.713662i
$39$	10.6965	−	2.86611i	1.71281	−	0.458945i
$40$	3.46912	−	0.626672i	0.548516	−	0.0990855i
$41$	−0.975596	−	1.68978i	−0.152362	−	0.263900i	0.779733	−	0.626112i	$-0.215355\pi$
$41$	−0.975596	−	1.68978i	−0.152362	−	0.263900i	−0.932096	+	0.362213i	$0.882021\pi$
$42$	−16.2514	+	2.40362i	−2.50764	+	0.370887i
$43$	2.98698			0.455510			0.227755	−	0.973719i	$-0.426862\pi$
$43$	2.98698			0.455510			0.227755	+	0.973719i	$0.426862\pi$
$44$	−0.915757	+	0.568378i	−0.138056	+	0.0856863i
$45$	4.46094			0.664997
$46$	8.36148	−	6.63037i	1.23283	−	0.977595i
$47$		−	5.57546i		−	0.813264i	−0.913592	−	0.406632i	$-0.866703\pi$
$47$		−	5.57546i		−	0.813264i	0.913592	−	0.406632i	$-0.133297\pi$
$48$	6.77791	−	7.70235i	0.978308	−	1.11174i
$49$	−6.75528	+	11.7005i	−0.965040	+	1.67150i
$50$	2.90520	−	3.91374i	0.410858	−	0.553487i
$51$	9.07467			1.27071
$52$	2.49948	+	8.26491i	0.346616	+	1.14614i
$53$	−1.51841	−	5.66677i	−0.208569	−	0.778391i	−0.988332	−	0.152316i	$-0.951327\pi$
$53$	−1.51841	−	5.66677i	−0.208569	−	0.778391i	0.779763	−	0.626075i	$-0.215340\pi$
$54$	1.64609	−	1.30529i	0.224004	−	0.177628i
$55$	0.173841	−	0.648785i	0.0234408	−	0.0874822i
$56$	−2.27710	−	12.6055i	−0.304290	−	1.68448i
$57$	5.19716	+	19.3961i	0.688381	+	2.56907i
$58$	0.706158	−	6.11550i	0.0927230	−	0.803004i
$59$	6.04223	−	10.4654i	0.786631	−	1.36249i	−0.141389	−	0.989954i	$-0.545157\pi$
$59$	6.04223	−	10.4654i	0.786631	−	1.36249i	0.928020	−	0.372531i	$-0.121510\pi$
$60$	0.203784	+	6.39059i	0.0263084	+	0.825021i
$61$	3.36083	−	1.94038i	0.430310	−	0.248440i	−0.269168	−	0.963093i	$-0.586749\pi$
$61$	3.36083	−	1.94038i	0.430310	−	0.248440i	0.699479	+	0.714653i	$0.253415\pi$
$62$	−4.89056	+	3.87805i	−0.621102	+	0.492513i
$63$		−	16.2094i		−	2.04220i
$64$	6.17116	+	5.09086i	0.771395	+	0.636357i
$65$	−4.66004	−	2.69047i	−0.578006	−	0.333712i
$66$	−0.776772	−	1.79388i	−0.0956141	−	0.220811i
$67$	2.81374	−	10.5010i	0.343754	−	1.28291i	−0.550308	−	0.834962i	$-0.685490\pi$
$67$	2.81374	−	10.5010i	0.343754	−	1.28291i	0.894062	−	0.447944i	$-0.147844\pi$
$68$	0.225519	+	7.07221i	0.0273483	+	0.857632i
$69$	9.67735	+	16.7617i	1.16502	+	2.01787i
$70$	6.40976	+	4.75801i	0.766113	+	0.568691i
$71$	0.700086	+	1.21258i	0.0830849	+	0.143907i	0.904574	−	0.426318i	$-0.140189\pi$
$71$	0.700086	+	1.21258i	0.0830849	+	0.143907i	−0.821489	+	0.570225i	$0.806856\pi$
$72$	6.53954	+	7.72765i	0.770693	+	0.910712i
$73$	−7.94508			−0.929901			−0.464951	−	0.885337i	$-0.653928\pi$
$73$	−7.94508			−0.929901			−0.464951	+	0.885337i	$0.653928\pi$
$74$	−6.65511	+	5.45064i	−0.773641	+	0.633624i
$75$	6.25109	+	6.25109i	0.721814	+	0.721814i
$76$	−14.9869	+	4.53236i	−1.71912	+	0.519897i
$77$	−2.35745	−	0.631677i	−0.268657	−	0.0719863i
$78$	−15.4922	+	2.29134i	−1.75414	+	0.259443i
$79$	−1.78608	+	6.66575i	−0.200950	+	0.749956i	0.789696	+	0.613499i	$0.210238\pi$
$79$	−1.78608	+	6.66575i	−0.200950	+	0.749956i	−0.990646	+	0.136457i	$0.956428\pi$
$80$	−4.97535	+	0.317632i	−0.556261	+	0.0355123i
$81$	−3.46358	−	5.99910i	−0.384842	−	0.666566i
$82$	1.09647	+	2.53220i	0.121085	+	0.279635i
$83$	0.944903	+	3.52643i	0.103717	+	0.387076i	0.998196	−	0.0600327i	$-0.0191205\pi$
$83$	0.944903	+	3.52643i	0.103717	+	0.387076i	−0.894480	+	0.447108i	$0.852454\pi$
$84$	23.2211	−	0.740477i	2.53363	−	0.0807927i
$85$	−3.11801	−	3.11801i	−0.338196	−	0.338196i
$86$	−4.19634	−	0.484552i	−0.452503	−	0.0522506i
$87$	10.7850	+	2.88984i	1.15628	+	0.309823i
$88$	1.37873	−	0.649947i	0.146973	−	0.0692846i
$89$	3.15367	+	11.7696i	0.334288	+	1.24758i	0.904639	+	0.426178i	$0.140140\pi$
$89$	3.15367	+	11.7696i	0.334288	+	1.24758i	−0.570351	+	0.821401i	$0.693193\pi$
$90$	−6.26707	−	0.723660i	−0.660608	−	0.0762805i
$91$	−9.77621	+	16.9329i	−1.02483	+	1.77505i
$92$	−12.8225	+	7.95846i	−1.33683	+	0.829726i
$93$	−5.66020	−	9.80376i	−0.586935	−	1.01660i
$94$	−0.904460	+	7.83285i	−0.0932879	+	0.807896i
$95$	4.87868	−	8.45012i	0.500542	−	0.866964i
$96$	−10.7716	+	9.72134i	−1.09938	+	0.992180i
$97$	−0.0699619	+	0.0699619i	−0.00710355	+	0.00710355i	−0.710650	−	0.703546i	$-0.751599\pi$
$97$	−0.0699619	+	0.0699619i	−0.00710355	+	0.00710355i	0.703546	+	0.710650i	$0.251599\pi$
$98$	11.3884	−	15.3419i	1.15040	−	1.54977i
$99$	1.86309	−	0.499213i	0.187247	−	0.0501728i
$100$	−4.71635	+	5.02705i	−0.471635	+	0.502705i
$101$	10.5494	+	10.5494i	1.04971	+	1.04971i	0.998698	+	0.0510073i	$0.0162432\pi$
$101$	10.5494	+	10.5494i	1.04971	+	1.04971i	0.0510073	+	0.998698i	$0.483757\pi$
$102$	−12.7488	−	1.47211i	−1.26232	−	0.145760i
$103$	−7.30977	−	7.30977i	−0.720253	−	0.720253i	0.248403	−	0.968657i	$-0.420094\pi$
$103$	−7.30977	−	7.30977i	−0.720253	−	0.720253i	−0.968657	+	0.248403i	$0.920094\pi$
$104$	−2.17073	−	12.0167i	−0.212857	−	1.17833i
$105$	−10.2378	+	10.2378i	−0.999104	+	0.999104i
$106$	1.21391	+	8.20745i	0.117905	+	0.797178i
$107$	4.74141	−	17.6952i	0.458370	−	1.71066i	−0.219618	−	0.975586i	$-0.570481\pi$
$107$	4.74141	−	17.6952i	0.458370	−	1.71066i	0.677988	−	0.735073i	$-0.262852\pi$
$108$	−2.52430	+	1.56675i	−0.242901	+	0.150760i
$109$	2.90224	−	5.02682i	0.277984	−	0.481482i	−0.692900	−	0.721034i	$-0.743667\pi$
$109$	2.90224	−	5.02682i	0.277984	−	0.481482i	0.970884	+	0.239552i	$0.0770004\pi$
$110$	−0.349473	+	0.883264i	−0.0333210	+	0.0842159i
$111$	−8.01349	−	13.3870i	−0.760607	−	1.27064i
$112$	1.15416	+	18.0786i	0.109058	+	1.70827i
$113$	13.8236	−	3.70402i	1.30041	−	0.348445i	0.458808	−	0.888536i	$-0.348277\pi$
$113$	13.8236	−	3.70402i	1.30041	−	0.348445i	0.841607	+	0.540090i	$0.181610\pi$
$114$	−4.15492	−	28.0922i	−0.389144	−	2.63108i
$115$	2.43413	−	9.08431i	0.226984	−	0.847117i
$116$	−1.98413	+	8.47698i	−0.184222	+	0.787068i
$117$		−	15.4522i		−	1.42856i
$118$	−10.1863	+	13.7225i	−0.937727	+	1.26326i
$119$	−11.3297	+	11.3297i	−1.03860	+	1.03860i
$120$	0.750400	−	9.01106i	0.0685018	−	0.822593i
$121$			10.7096i			0.973599i
$122$	−5.03633	+	2.18080i	−0.455968	+	0.197440i
$123$	−4.83424	+	1.29533i	−0.435889	+	0.116796i
$124$	7.49975	−	4.65484i	0.673498	−	0.418017i
$125$		−	10.5275i		−	0.941612i
$126$	−2.62952	+	22.7723i	−0.234256	+	2.02872i
$127$	14.8017	+	8.54578i	1.31344	+	0.758315i	0.982664	−	0.185394i	$-0.0593562\pi$
$127$	14.8017	+	8.54578i	1.31344	+	0.758315i	0.330776	+	0.943709i	$0.392690\pi$
$128$	−7.84388	−	8.15313i	−0.693308	−	0.720642i
$129$	1.98295	−	7.40049i	0.174589	−	0.651577i
$130$	6.11033	+	4.53575i	0.535912	+	0.397811i
$131$	−3.76203	+	6.51603i	−0.328690	+	0.569308i	−0.982252	−	0.187565i	$-0.939941\pi$
$131$	−3.76203	+	6.51603i	−0.328690	+	0.569308i	0.653562	+	0.756873i	$0.273274\pi$
$132$	0.800265	+	2.64619i	0.0696541	+	0.230321i
$133$	−30.7047	−	17.7274i	−2.66244	−	1.53716i
$134$	−5.65646	+	14.2962i	−0.488644	+	1.23501i
$135$	0.479198	−	1.78839i	0.0412428	−	0.153920i
$136$	0.830438	−	9.97218i	0.0712095	−	0.855108i
$137$			7.66118i			0.654539i	0.944931	+	0.327270i	$0.106129\pi$
$137$			7.66118i			0.654539i	−0.944931	+	0.327270i	$0.893871\pi$
$138$	−10.8764	−	25.1180i	−0.925860	−	2.13818i
$139$	−0.669121	−	2.49719i	−0.0567541	−	0.211809i	0.931726	−	0.363163i	$-0.118303\pi$
$139$	−0.669121	−	2.49719i	−0.0567541	−	0.211809i	−0.988480	+	0.151354i	$0.951637\pi$
$140$	−8.23308	−	7.72423i	−0.695822	−	0.652817i
$141$	−13.8137	−	3.70136i	−1.16332	−	0.311711i
$142$	−0.786829	−	1.81710i	−0.0660292	−	0.152488i
$143$	−2.24733	−	0.602169i	−0.187931	−	0.0503559i
$144$	−7.93367	−	11.9173i	−0.661139	−	0.993106i
$145$	−2.71275	−	4.69862i	−0.225282	−	0.390199i
$146$	11.1619	+	1.28886i	0.923763	+	0.106667i
$147$	24.5043	+	24.5043i	2.02108	+	2.02108i
$148$	10.2338	−	6.57789i	0.841216	−	0.540699i
$149$	−5.16909	+	5.16909i	−0.423469	+	0.423469i	−0.886396	−	0.462927i	$-0.846799\pi$
$149$	−5.16909	+	5.16909i	−0.423469	+	0.423469i	0.462927	+	0.886396i	$0.346799\pi$
$150$	−7.76797	−	9.79609i	−0.634252	−	0.799847i
$151$	9.60032	−	5.54275i	0.781263	−	0.451062i	−0.0556147	−	0.998452i	$-0.517712\pi$
$151$	9.60032	−	5.54275i	0.781263	−	0.451062i	0.836878	+	0.547390i	$0.184379\pi$
$152$	21.7900	−	3.93621i	1.76740	−	0.319269i
$153$	3.27734	−	12.2312i	0.264957	−	0.988834i
$154$	3.20946	+	1.26986i	0.258626	+	0.102328i
$155$	−1.42371	+	5.31334i	−0.114355	+	0.426778i
$156$	22.1363	−	0.705886i	1.77233	−	0.0565161i
$157$	−1.91090	+	0.512024i	−0.152506	+	0.0408640i	−0.334265	−	0.942479i	$-0.608488\pi$
$157$	−1.91090	+	0.512024i	−0.152506	+	0.0408640i	0.181758	+	0.983343i	$0.441821\pi$
$158$	3.59056	−	9.07483i	0.285650	−	0.721955i
$159$	−15.0479			−1.19338
$160$	7.04129	+	0.360875i	0.556663	+	0.0285296i
$161$	−33.0091	−	8.84477i	−2.60148	−	0.697066i
$162$	3.89273	+	8.98987i	0.305841	+	0.706311i
$163$	4.22215	−	7.31298i	0.330704	−	0.572797i	−0.651946	−	0.758266i	$-0.726047\pi$
$163$	4.22215	−	7.31298i	0.330704	−	0.572797i	0.982650	+	0.185469i	$0.0593804\pi$
$164$	−1.12964	−	3.73531i	−0.0882098	−	0.291678i
$165$	−1.49201	−	0.861414i	−0.116153	−	0.0670610i
$166$	−0.755412	−	5.10749i	−0.0586313	−	0.396418i
$167$	−6.30497	−	1.68941i	−0.487893	−	0.130731i	0.00648254	−	0.999979i	$-0.497937\pi$
$167$	−6.30497	−	1.68941i	−0.487893	−	0.130731i	−0.494375	+	0.869248i	$0.664603\pi$
$168$	−32.7430	−	2.72668i	−2.52617	−	0.210368i
$169$	−2.81952	+	4.88355i	−0.216886	+	0.375658i
$170$	3.87462	+	4.88624i	0.297170	+	0.374757i
$171$	28.0198			2.14273
$172$	5.81674	+	1.36147i	0.443523	+	0.103811i
$173$	3.94546	+	14.7246i	0.299968	+	1.11949i	0.937191	+	0.348815i	$0.113416\pi$
$173$	3.94546	+	14.7246i	0.299968	+	1.11949i	−0.637224	+	0.770679i	$0.719917\pi$
$174$	−14.6829	−	5.80944i	−1.11311	−	0.440413i
$175$	−15.6090			−1.17993
$176$	−2.04238	+	0.689437i	−0.153951	+	0.0519683i
$177$	−21.9178	−	21.9178i	−1.64744	−	1.64744i
$178$	−2.52123	−	17.0465i	−0.188974	−	1.27769i
$179$	−12.0870			−0.903424			−0.451712	−	0.892164i	$-0.649187\pi$
$179$	−12.0870			−0.903424			−0.451712	+	0.892164i	$0.649187\pi$
$180$	8.68709	+	2.03331i	0.647497	+	0.151554i
$181$	−12.8209	−	3.43534i	−0.952967	−	0.255347i	−0.251346	−	0.967897i	$-0.580873\pi$
$181$	−12.8209	−	3.43534i	−0.952967	−	0.255347i	−0.701621	+	0.712551i	$0.747540\pi$
$182$	16.4813	−	22.2027i	1.22167	−	1.64578i
$183$	−2.57630	−	9.61490i	−0.190446	−	0.710754i
$184$	19.3050	−	9.10058i	1.42319	−	0.670904i
$185$	−1.84632	+	7.35311i	−0.135744	+	0.540612i
$186$	6.36151	+	14.6913i	0.466449	+	1.07722i
$187$	−1.65115	−	0.953293i	−0.120744	−	0.0697117i
$188$	2.54131	−	10.8575i	0.185344	−	0.791863i
$189$	−6.49837	−	1.74123i	−0.472687	−	0.126656i
$190$	−8.22474	+	11.0800i	−0.596686	+	0.803825i
$191$	2.20921	+	2.20921i	0.159853	+	0.159853i	0.782502	−	0.622649i	$-0.213943\pi$
$191$	2.20921	+	2.20921i	0.159853	+	0.159853i	−0.622649	+	0.782502i	$0.713943\pi$
$192$	16.7099	−	11.9099i	1.20593	−	0.859524i
$193$	−12.0887	+	12.0887i	−0.870163	+	0.870163i	−0.992490	−	0.122327i	$-0.960964\pi$
$193$	−12.0887	+	12.0887i	−0.870163	+	0.870163i	0.122327	+	0.992490i	$0.460964\pi$
$194$	0.109637	−	0.0869386i	0.00787150	−	0.00624183i
$195$	−9.75952	+	9.75952i	−0.698893	+	0.698893i
$196$	−18.4881	+	19.7061i	−1.32058	+	1.40758i
$197$	1.59354	+	5.94716i	0.113535	+	0.423718i	0.999173	−	0.0406581i	$-0.0129454\pi$
$197$	1.59354	+	5.94716i	0.113535	+	0.423718i	−0.885638	+	0.464376i	$0.846279\pi$
$198$	−2.69840	+	0.399100i	−0.191767	+	0.0283628i
$199$	11.0903	+	11.0903i	0.786170	+	0.786170i	0.980864	−	0.194694i	$-0.0623713\pi$
$199$	11.0903	+	11.0903i	0.786170	+	0.786170i	−0.194694	+	0.980864i	$0.562371\pi$
$200$	7.44140	−	6.29730i	0.526186	−	0.445286i
$201$	−24.1493	−	13.9426i	−1.70336	−	0.983434i
$202$	−13.1093	−	16.5320i	−0.922367	−	1.16319i
$203$	−17.0731	+	9.85716i	−1.19830	+	0.691837i
$204$	17.6717	+	4.13626i	1.23727	+	0.289596i
$205$	2.10609	+	1.21595i	0.147096	+	0.0849258i
$206$	9.08354	+	11.4551i	0.632880	+	0.798118i
$207$	26.0870	−	6.99000i	1.81317	−	0.485838i
$208$	1.10024	+	17.2341i	0.0762882	+	1.19497i
$209$	1.09192	−	4.07511i	0.0755299	−	0.281881i
$210$	16.0436	−	12.7220i	1.10711	−	0.877904i
$211$	−4.64650	+	4.64650i	−0.319879	+	0.319879i	−0.848720	−	0.528842i	$-0.822626\pi$
$211$	−4.64650	+	4.64650i	−0.319879	+	0.319879i	0.528842	+	0.848720i	$0.322626\pi$
$212$	−0.373964	−	11.7274i	−0.0256840	−	0.805440i
$213$	3.46904	−	0.929528i	0.237695	−	0.0636902i
$214$	−9.53166	+	24.0904i	−0.651571	+	1.64679i
$215$	−3.22411	+	1.86144i	−0.219882	+	0.126949i
$216$	3.80050	−	1.79159i	0.258591	−	0.121902i
$217$	19.3068	+	5.17323i	1.31063	+	0.351182i
$218$	−4.89275	+	6.59127i	−0.331379	+	0.446417i
$219$	−5.27447	+	19.6846i	−0.356416	+	1.33016i
$220$	0.634252	−	1.18419i	0.0427612	−	0.0798378i
$221$	−10.8005	+	10.8005i	−0.726518	+	0.726518i
$222$	9.08632	+	20.1071i	0.609834	+	1.34950i
$223$		−	23.7220i		−	1.58854i	−0.607563	−	0.794271i	$-0.707853\pi$
$223$		−	23.7220i		−	1.58854i	0.607563	−	0.794271i	$-0.292147\pi$
$224$	1.31129	−	25.5855i	0.0876142	−	1.70950i
$225$	10.6831	−	6.16787i	0.712205	−	0.411192i
$226$	−20.0214	+	2.96122i	−1.33180	+	0.196977i
$227$	21.0948	−	12.1791i	1.40011	−	0.808354i	0.405706	−	0.914004i	$-0.367026\pi$
$227$	21.0948	−	12.1791i	1.40011	−	0.808354i	0.994403	+	0.105650i	$0.0336924\pi$
$228$	1.28000	+	40.1402i	0.0847697	+	2.65835i
$229$	24.6416	+	6.60270i	1.62836	+	0.436319i	0.953443	−	0.301572i	$-0.0975114\pi$
$229$	24.6416	+	6.60270i	1.62836	+	0.436319i	0.674920	+	0.737891i	$0.264178\pi$
$230$	−4.89334	+	12.3675i	−0.322657	+	0.815488i
$231$	−3.13007	+	5.42144i	−0.205943	+	0.356704i
$232$	4.16261	−	11.5873i	0.273289	−	0.760741i
$233$	2.60105			0.170401			0.0852003	−	0.996364i	$-0.472847\pi$
$233$	2.60105			0.170401			0.0852003	+	0.996364i	$0.472847\pi$
$234$	−2.50668	+	21.7085i	−0.163867	+	1.41913i
$235$	3.47454	+	6.01808i	0.226654	+	0.392576i
$236$	16.5366	−	17.6260i	1.07644	−	1.14736i
$237$	15.3292	+	8.85034i	0.995742	+	0.574892i
$238$	17.7548	−	14.0790i	1.15087	−	0.912604i
$239$	−14.8302	+	3.97373i	−0.959283	+	0.257039i	−0.704297	−	0.709906i	$-0.748738\pi$
$239$	−14.8302	+	3.97373i	−0.959283	+	0.257039i	−0.254986	+	0.966945i	$0.582071\pi$
$240$	−2.51601	+	12.5377i	−0.162408	+	0.809306i
$241$	10.7671	+	2.88504i	0.693571	+	0.185842i	0.588349	−	0.808607i	$-0.299778\pi$
$241$	10.7671	+	2.88504i	0.693571	+	0.185842i	0.105222	+	0.994449i	$0.466445\pi$
$242$	1.73733	−	15.0457i	0.111680	−	0.967172i
$243$	−21.4673	+	5.75213i	−1.37713	+	0.369000i
$244$	7.42921	−	2.24675i	0.475606	−	0.143833i
$245$		−	16.8392i		−	1.07581i
$246$	7.00165	−	1.03556i	0.446409	−	0.0660252i
$247$	−29.2703	−	16.8992i	−1.86243	−	1.07527i
$248$	−11.2914	+	5.32286i	−0.717002	+	0.338002i
$249$	9.36431			0.593439
$250$	−1.70779	+	14.7899i	−0.108010	+	0.935396i
$251$		−	8.05565i		−	0.508468i	−0.967143	−	0.254234i	$-0.918177\pi$
$251$		−	8.05565i		−	0.508468i	0.967143	−	0.254234i	$-0.0818234\pi$
$252$	7.38832	−	31.5657i	0.465420	−	1.98846i
$253$		−	4.06642i		−	0.255653i
$254$	−19.4083	−	14.4069i	−1.21779	−	0.903972i
$255$	−9.79508	+	5.65519i	−0.613392	+	0.354142i
$256$	9.69709	+	12.7266i	0.606068	+	0.795413i
$257$	−0.159972	−	0.597023i	−0.00997877	−	0.0372413i	0.960757	−	0.277392i	$-0.0894699\pi$
$257$	−0.159972	−	0.597023i	−0.00997877	−	0.0372413i	−0.970736	+	0.240150i	$0.922803\pi$
$258$	−3.98633	+	10.0751i	−0.248178	+	0.627249i
$259$	26.7186	+	6.70886i	1.66021	+	0.416869i
$260$	−7.84848	−	7.36340i	−0.486742	−	0.456659i
$261$	7.79009	−	13.4928i	0.482194	−	0.835185i
$262$	6.34224	−	8.54395i	0.391825	−	0.527847i
$263$	15.2779	−	8.82067i	0.942073	−	0.543906i	0.0514635	−	0.998675i	$-0.483611\pi$
$263$	15.2779	−	8.82067i	0.942073	−	0.543906i	0.890610	+	0.454769i	$0.150278\pi$
$264$	−0.695006	−	3.84740i	−0.0427746	−	0.236791i
$265$	5.17040	+	5.17040i	0.317615	+	0.317615i
$266$	40.2606	+	29.8858i	2.46854	+	1.83241i
$267$	31.2539			1.91271
$268$	10.2658	−	19.1669i	0.627084	−	1.17080i
$269$	20.4209	+	20.4209i	1.24509	+	1.24509i	0.957864	+	0.287222i	$0.0927319\pi$
$269$	20.4209	+	20.4209i	1.24509	+	1.24509i	0.287222	+	0.957864i	$0.407268\pi$
$270$	−0.963330	+	2.43473i	−0.0586264	+	0.148173i
$271$	18.6894	+	10.7903i	1.13530	+	0.655464i	0.945262	−	0.326313i	$-0.105806\pi$
$271$	18.6894	+	10.7903i	1.13530	+	0.655464i	0.190036	+	0.981777i	$0.439140\pi$
$272$	−2.78437	+	13.8750i	−0.168827	+	0.841295i
$273$	35.4626	+	35.4626i	2.14629	+	2.14629i
$274$	1.24281	−	10.7630i	0.0750809	−	0.650219i
$275$	−0.480721	−	1.79407i	−0.0289885	−	0.108187i
$276$	11.2053	+	37.0521i	0.674482	+	2.23027i
$277$	2.26052	+	3.91534i	0.135822	+	0.235250i	0.925911	−	0.377742i	$-0.123299\pi$
$277$	2.26052	+	3.91534i	0.135822	+	0.235250i	−0.790089	+	0.612992i	$0.789966\pi$
$278$	0.534935	+	3.61680i	0.0320833	+	0.216921i
$279$	−15.2581	+	4.08839i	−0.913478	+	0.244766i
$280$	10.3134	+	12.1872i	0.616346	+	0.728324i
$281$	−6.28903	+	1.68514i	−0.375172	+	0.100527i	−0.441477	−	0.897272i	$-0.645545\pi$
$281$	−6.28903	+	1.68514i	−0.375172	+	0.100527i	0.0663056	+	0.997799i	$0.478879\pi$
$282$	18.8061	+	7.44084i	1.11989	+	0.443096i
$283$	0.424279	−	0.244957i	0.0252207	−	0.0145612i	−0.487337	−	0.873214i	$-0.662032\pi$
$283$	0.424279	−	0.244957i	0.0252207	−	0.0145612i	0.512557	+	0.858653i	$0.328698\pi$
$284$	0.810625	+	2.68045i	0.0481018	+	0.159055i
$285$	−17.6971	−	17.6971i	−1.04829	−	1.04829i
$286$	3.05953	+	1.21054i	0.180914	+	0.0715807i
$287$	4.41834	−	7.65278i	0.260806	−	0.451729i
$288$	9.21261	+	18.0293i	0.542858	+	1.06239i
$289$	3.88260	−	2.24162i	0.228388	−	0.131860i
$290$	3.04887	+	7.04106i	0.179036	+	0.413465i
$291$	0.126891	+	0.219782i	0.00743849	+	0.0128838i
$292$	−15.4720	−	3.62139i	−0.905430	−	0.211926i
$293$	11.6717	+	3.12743i	0.681869	+	0.182706i	0.583096	−	0.812404i	$-0.301841\pi$
$293$	11.6717	+	3.12743i	0.681869	+	0.182706i	0.0987738	+	0.995110i	$0.468508\pi$
$294$	−30.4505	−	38.4008i	−1.77591	−	2.23958i
$295$			15.0617i			0.876926i
$296$	−15.4444	+	7.58098i	−0.897686	+	0.440636i
$297$		−	0.800538i		−	0.0464519i
$298$	8.10049	−	6.42341i	0.469249	−	0.372098i
$299$	−31.4671	−	8.43159i	−1.81979	−	0.487612i
$300$	9.32391	+	15.0224i	0.538316	+	0.867322i
$301$	6.76380	+	11.7152i	0.389859	+	0.675255i
$302$	−14.3864	+	6.22951i	−0.827847	+	0.358468i
$303$	33.1405	−	19.1337i	1.90387	−	1.09920i
$304$	−31.2509	+	1.99509i	−1.79236	+	0.114426i
$305$	−2.41843	+	4.18884i	−0.138479	+	0.239852i
$306$	−6.58843	+	16.6517i	−0.376635	+	0.951914i
$307$	−14.8097	−	14.8097i	−0.845232	−	0.845232i	0.144302	−	0.989534i	$-0.453906\pi$
$307$	−14.8097	−	14.8097i	−0.845232	−	0.845232i	−0.989534	+	0.144302i	$0.953906\pi$
$308$	−4.30291	−	2.30464i	−0.245181	−	0.131319i
$309$	−22.9633	+	13.2579i	−1.30634	+	0.754213i
$310$	2.86207	−	7.23364i	0.162555	−	0.410843i
$311$	−5.21641	+	1.39773i	−0.295796	+	0.0792582i	−0.403665	−	0.914907i	$-0.632264\pi$
$311$	−5.21641	+	1.39773i	−0.295796	+	0.0792582i	0.107869	+	0.994165i	$0.465597\pi$
$312$	−31.2134	−	2.59931i	−1.76711	−	0.147157i
$313$	20.1414	−	5.39687i	1.13846	−	0.305049i	0.360128	−	0.932903i	$-0.382733\pi$
$313$	20.1414	−	5.39687i	1.13846	−	0.305049i	0.778332	+	0.627854i	$0.216066\pi$
$314$	2.76765	−	0.409343i	0.156187	−	0.0231005i
$315$	10.1015	+	17.4963i	0.569154	+	0.985803i
$316$	−6.51643	+	12.1666i	−0.366578	+	0.684423i
$317$	−1.35253	−	5.04770i	−0.0759655	−	0.283507i	0.917485	−	0.397770i	$-0.130216\pi$
$317$	−1.35253	−	5.04770i	−0.0759655	−	0.283507i	−0.993451	+	0.114263i	$0.963549\pi$
$318$	21.1405	+	2.44110i	1.18550	+	0.136890i
$319$	−1.65878	−	1.65878i	−0.0928738	−	0.0928738i
$320$	−9.83361	−	1.64923i	−0.549716	−	0.0921950i
$321$	−40.6937	−	23.4945i	−2.27130	−	1.31134i
$322$	44.9390	+	17.7806i	2.50435	+	0.990876i
$323$	−19.5847	−	19.5847i	−1.08972	−	1.08972i
$324$	−4.01046	−	13.2612i	−0.222803	−	0.736731i
$325$	−14.8798			−0.825385
$326$	−7.11793	+	9.58892i	−0.394226	+	0.531081i
$327$	−10.5277	−	10.5277i	−0.582182	−	0.582182i
$328$	0.981055	+	5.43090i	0.0541697	+	0.299872i
$329$	21.8676	−	12.6252i	1.20560	−	0.696052i
$330$	1.95636	+	1.45222i	0.107694	+	0.0799420i
$331$	−11.3712	+	19.6955i	−0.625018	+	1.08256i	0.363519	+	0.931587i	$0.381575\pi$
$331$	−11.3712	+	19.6955i	−0.625018	+	1.08256i	−0.988537	+	0.150977i	$0.951758\pi$
$332$	0.232718	+	7.29794i	0.0127720	+	0.400527i
$333$	−20.9377	+	5.96614i	−1.14738	+	0.326943i
$334$	8.58365	+	3.39622i	0.469677	+	0.185833i
$335$	3.50696	+	13.0882i	0.191606	+	0.715083i
$336$	45.5575	+	9.14227i	2.48537	+	0.498752i
$337$	−17.0300	+	9.83226i	−0.927682	+	0.535597i	−0.886078	−	0.463537i	$-0.846580\pi$
$337$	−17.0300	+	9.83226i	−0.927682	+	0.535597i	−0.0416041	+	0.999134i	$0.513247\pi$
$338$	4.75330	−	6.40341i	0.258546	−	0.348300i
$339$		−	36.7081i		−	1.99371i
$340$	−4.65072	−	7.49312i	−0.252221	−	0.406371i
$341$			2.37841i			0.128798i
$342$	−39.3644	−	4.54541i	−2.12858	−	0.245788i
$343$	−29.4854			−1.59206
$344$	−7.95096	−	2.85631i	−0.428687	−	0.154002i
$345$	−20.8912	−	12.0615i	−1.12475	−	0.649372i
$346$	−3.15423	−	21.3264i	−0.169573	−	1.14651i
$347$		−	1.93165i		−	0.103697i	−0.998655	−	0.0518483i	$-0.983489\pi$
$347$		−	1.93165i		−	0.103697i	0.998655	−	0.0518483i	$-0.0165112\pi$
$348$	19.6852	+	10.5434i	1.05524	+	0.565188i
$349$	−11.8780	+	3.18270i	−0.635814	+	0.170366i	−0.562307	−	0.826929i	$-0.690086\pi$
$349$	−11.8780	+	3.18270i	−0.635814	+	0.170366i	−0.0735075	+	0.997295i	$0.523419\pi$
$350$	21.9287	+	2.53212i	1.17214	+	0.135347i
$351$	−6.19480	−	1.65989i	−0.330654	−	0.0885984i
$352$	2.98114	−	0.637257i	0.158896	−	0.0339659i
$353$	−5.40751	+	1.44894i	−0.287813	+	0.0771192i	−0.399837	−	0.916586i	$-0.630933\pi$
$353$	−5.40751	+	1.44894i	−0.287813	+	0.0771192i	0.112024	+	0.993705i	$0.464267\pi$
$354$	27.2363	+	34.3474i	1.44759	+	1.82554i
$355$	−1.51133	−	0.872566i	−0.0802130	−	0.0463110i
$356$	0.776707	+	24.3573i	0.0411654	+	1.29093i
$357$	20.5489	+	35.5918i	1.08757	+	1.88372i
$358$	16.9807	+	1.96077i	0.897461	+	0.103630i
$359$	−21.4075			−1.12984			−0.564921	−	0.825145i	$-0.691094\pi$
$359$	−21.4075			−1.12984			−0.564921	+	0.825145i	$0.691094\pi$
$360$	−11.8745	−	4.26579i	−0.625839	−	0.224827i
$361$	21.1437	−	36.6219i	1.11283	−	1.92747i
$362$	17.4545	+	6.90605i	0.917386	+	0.362974i
$363$	26.5339	+	7.10974i	1.39267	+	0.373164i
$364$	−26.7560	+	28.5186i	−1.40239	+	1.49478i
$365$	8.57582	−	4.95125i	0.448879	−	0.259160i
$366$	2.05965	+	13.9257i	0.107660	+	0.727908i
$367$	22.1382	−	12.7815i	1.15561	−	0.667190i	0.205360	−	0.978687i	$-0.434164\pi$
$367$	22.1382	−	12.7815i	1.15561	−	0.667190i	0.950247	+	0.311496i	$0.100830\pi$
$368$	−28.5975	+	9.65352i	−1.49075	+	0.503225i
$369$			6.98360i			0.363551i
$370$	3.78669	−	10.0307i	0.196861	−	0.521472i
$371$	18.7874	−	18.7874i	0.975391	−	0.975391i
$372$	−6.55391	−	21.6715i	−0.339804	−	1.12361i
$373$	2.67918	−	9.99883i	0.138723	−	0.517720i	−0.861232	−	0.508212i	$-0.830307\pi$
$373$	2.67918	−	9.99883i	0.138723	−	0.517720i	0.999955	−	0.00950822i	$-0.00302661\pi$
$374$	2.16502	+	1.60711i	0.111951	+	0.0831018i
$375$	−26.0829	−	6.98888i	−1.34691	−	0.360904i
$376$	−5.33155	+	14.8412i	−0.274954	+	0.765375i
$377$	−16.2755	+	9.39669i	−0.838233	+	0.483954i
$378$	8.84695	+	3.50040i	0.455038	+	0.180041i
$379$	1.74681	−	0.468056i	0.0897275	−	0.0240424i	−0.213676	−	0.976905i	$-0.568544\pi$
$379$	1.74681	−	0.468056i	0.0897275	−	0.0240424i	0.303403	+	0.952862i	$0.401877\pi$
$380$	13.3522	−	14.2318i	0.684952	−	0.730075i
$381$	30.9993	−	30.9993i	1.58814	−	1.58814i
$382$	−2.74529	−	3.46206i	−0.140461	−	0.177134i
$383$	2.23877	−	8.35521i	0.114396	−	0.426931i	−0.884845	−	0.465885i	$-0.845736\pi$
$383$	2.23877	−	8.35521i	0.114396	−	0.426931i	0.999241	+	0.0389540i	$0.0124026\pi$
$384$	−25.4074	+	14.0213i	−1.29656	+	0.715521i
$385$	2.93826	−	0.787303i	0.149747	−	0.0401247i
$386$	18.9442	−	15.0221i	0.964234	−	0.764605i
$387$	−9.25852	−	5.34541i	−0.470637	−	0.271723i
$388$	−0.168130	+	0.104353i	−0.00853553	+	0.00529771i
$389$	6.02914	−	3.48093i	0.305690	−	0.176490i	−0.339306	−	0.940676i	$-0.610192\pi$
$389$	6.02914	−	3.48093i	0.305690	−	0.176490i	0.644996	+	0.764186i	$0.276859\pi$
$390$	15.2941	−	12.1277i	0.774449	−	0.614112i
$391$	−23.1195	−	13.3480i	−1.16920	−	0.675039i
$392$	29.1703	−	24.6855i	1.47333	−	1.24681i
$393$	13.6465	+	13.6465i	0.688376	+	0.688376i
$394$	−1.27397	−	8.61354i	−0.0641816	−	0.433944i
$395$	−2.22612	−	8.30799i	−0.112008	−	0.418020i
$396$	3.85566	−	0.122950i	0.193754	−	0.00617846i
$397$	−6.42442	+	6.42442i	−0.322432	+	0.322432i	−0.849700	−	0.527267i	$-0.823217\pi$
$397$	−6.42442	+	6.42442i	−0.322432	+	0.322432i	0.527267	+	0.849700i	$0.323217\pi$
$398$	−13.7814	−	17.3796i	−0.690801	−	0.871161i
$399$	−64.3049	+	64.3049i	−3.21927	+	3.21927i
$400$	−11.4758	+	7.63979i	−0.573791	+	0.381989i
$401$	20.9518	+	20.9518i	1.04628	+	1.04628i	0.998876	+	0.0474048i	$0.0150951\pi$
$401$	20.9518	+	20.9518i	1.04628	+	1.04628i	0.0474048	+	0.998876i	$0.484905\pi$
$402$	31.6650	+	23.5052i	1.57931	+	1.17233i
$403$	18.4049	+	4.93157i	0.916812	+	0.245659i
$404$	15.7351	+	25.3520i	0.782852	+	1.26131i
$405$	7.47709	+	4.31690i	0.371540	+	0.214508i
$406$	25.5847	−	11.0785i	1.26975	−	0.549816i
$407$	0.0517631	+	3.27761i	0.00256580	+	0.162465i
$408$	−24.1556	−	8.67768i	−1.19588	−	0.429609i
$409$	−4.87179	−	18.1818i	−0.240895	−	0.899031i	−0.975403	−	0.220431i	$-0.929254\pi$
$409$	−4.87179	−	18.1818i	−0.240895	−	0.899031i	0.734508	−	0.678600i	$-0.237413\pi$
$410$	−2.76155	−	2.04992i	−0.136383	−	0.101238i
$411$	18.9812	+	5.08601i	0.936275	+	0.250874i
$412$	−10.9030	−	17.5666i	−0.537152	−	0.865446i
$413$	54.7288			2.69303
$414$	−37.7830	+	5.58822i	−1.85694	+	0.274646i
$415$	−3.21753	−	3.21753i	−0.157942	−	0.157942i
$416$	1.25003	−	24.3903i	0.0612879	−	1.19583i
$417$	−6.63121			−0.324732
$418$	−2.19509	+	5.54791i	−0.107365	+	0.271357i
$419$	5.18009	+	19.3324i	0.253064	+	0.944448i	0.969157	+	0.246443i	$0.0792618\pi$
$419$	5.18009	+	19.3324i	0.253064	+	0.944448i	−0.716093	+	0.698005i	$0.754072\pi$
$420$	−24.6031	+	15.2703i	−1.20051	+	0.745114i
$421$	−10.9684			−0.534569			−0.267285	−	0.963618i	$-0.586126\pi$
$421$	−10.9684			−0.534569			−0.267285	+	0.963618i	$0.586126\pi$
$422$	7.28154	−	5.77401i	0.354460	−	0.281074i
$423$	−9.97769	+	17.2819i	−0.485132	+	0.840273i
$424$	−1.37706	+	16.5362i	−0.0668760	+	0.803070i
$425$	−11.7781	−	3.15594i	−0.571323	−	0.153085i
$426$	−5.02438	+	0.743120i	−0.243432	+	0.0360043i
$427$	15.2207	+	8.78770i	0.736583	+	0.425266i
$428$	17.2988	−	32.2979i	0.836170	−	1.56118i
$429$	−2.98385	+	5.16818i	−0.144062	+	0.249522i
$430$	4.83144	−	2.09208i	0.232993	−	0.100889i
$431$	0.580446	+	0.155530i	0.0279591	+	0.00749162i	0.272771	−	0.962079i	$-0.412060\pi$
$431$	0.580446	+	0.155530i	0.0279591	+	0.00749162i	−0.244812	+	0.969570i	$0.578726\pi$
$432$	−5.62988	+	1.90045i	−0.270868	+	0.0914353i
$433$	−0.855907			−0.0411323			−0.0205661	−	0.999788i	$-0.506547\pi$
$433$	−0.855907			−0.0411323			−0.0205661	+	0.999788i	$0.506547\pi$
$434$	−26.2845	−	10.3997i	−1.26169	−	0.499204i
$435$	−13.4421	+	3.60181i	−0.644501	+	0.172694i
$436$	7.94297	−	8.46623i	0.380399	−	0.405459i
$437$	15.2891	−	57.0599i	0.731379	−	2.72954i
$438$	10.6033	−	26.7988i	0.506644	−	1.28050i
$439$	8.10036	−	30.2309i	0.386609	−	1.44284i	−0.449006	−	0.893529i	$-0.648222\pi$
$439$	8.10036	−	30.2309i	0.386609	−	1.44284i	0.835615	−	0.549315i	$-0.185111\pi$
$440$	−1.08315	+	1.56075i	−0.0516370	+	0.0744058i
$441$	41.8777	−	24.1781i	1.99418	−	1.15134i
$442$	16.9254	−	13.4213i	0.805060	−	0.638385i
$443$	−6.66464	+	6.66464i	−0.316647	+	0.316647i	−0.847478	−	0.530831i	$-0.821880\pi$
$443$	−6.66464	+	6.66464i	−0.316647	+	0.316647i	0.530831	+	0.847478i	$0.321880\pi$
$444$	−9.50336	−	29.7220i	−0.451010	−	1.41055i
$445$	−10.7387	−	10.7387i	−0.509063	−	0.509063i
$446$	−3.84822	+	33.3265i	−0.182219	+	1.57806i
$447$	9.37528	+	16.2385i	0.443435	+	0.768053i
$448$	−5.99272	+	35.7318i	−0.283130	+	1.68817i
$449$	−24.7706	−	6.63728i	−1.16900	−	0.313232i	−0.378445	−	0.925624i	$-0.623541\pi$
$449$	−24.7706	−	6.63728i	−1.16900	−	0.313232i	−0.790555	+	0.612392i	$0.790208\pi$
$450$	−16.0090	+	6.93209i	−0.754671	+	0.326782i
$451$	1.01567	+	0.272149i	0.0478262	+	0.0128150i
$452$	28.6079	−	0.912253i	1.34560	−	0.0429088i
$453$	−7.35929	−	27.4653i	−0.345770	−	1.29043i
$454$	−31.6113	+	13.6881i	−1.48359	+	0.642414i
$455$		−	24.3695i		−	1.14246i
$456$	4.71337	−	56.5998i	0.220724	−	2.65053i
$457$	1.55621	−	5.80786i	0.0727965	−	0.271680i	−0.919928	−	0.392087i	$-0.871753\pi$
$457$	1.55621	−	5.80786i	0.0727965	−	0.271680i	0.992725	+	0.120407i	$0.0384199\pi$
$458$	−33.5474	−	13.2734i	−1.56757	−	0.620225i
$459$	−4.55143	−	2.62777i	−0.212443	−	0.122654i
$460$	8.88082	−	16.5810i	0.414070	−	0.773094i
$461$	11.1741	−	19.3541i	0.520431	−	0.901412i	−0.479287	−	0.877658i	$-0.659105\pi$
$461$	11.1741	−	19.3541i	0.520431	−	0.901412i	0.999718	−	0.0237541i	$-0.00756188\pi$
$462$	5.27684	−	7.10870i	0.245501	−	0.330727i
$463$	6.13592	−	22.8996i	0.285160	−	1.06423i	−0.663562	−	0.748122i	$-0.730956\pi$
$463$	6.13592	−	22.8996i	0.285160	−	1.06423i	0.948722	−	0.316112i	$-0.102377\pi$
$464$	−7.72767	+	15.6034i	−0.358748	+	0.724371i
$465$	12.2191	+	7.05470i	0.566647	+	0.327154i
$466$	−3.65416	−	0.421947i	−0.169276	−	0.0195463i
$467$			18.8981i			0.874501i	0.899340	+	0.437250i	$0.144048\pi$
$467$			18.8981i			0.874501i	−0.899340	+	0.437250i	$0.855952\pi$
$468$	7.04317	−	30.0912i	0.325571	−	1.39096i
$469$	47.5577	−	12.7430i	2.19601	−	0.588419i
$470$	−3.90505	−	9.01832i	−0.180126	−	0.415984i
$471$			5.07433i			0.233813i
$472$	−26.0913	+	22.0798i	−1.20095	+	1.01631i
$473$	−1.13822	+	1.13822i	−0.0523355	+	0.0523355i
$474$	−20.1000	−	14.9204i	−0.923224	−	0.685316i
$475$		−	26.9819i		−	1.23801i
$476$	−27.2273	+	16.8990i	−1.24796	+	0.774566i
$477$	−5.43460	+	20.2822i	−0.248833	+	0.928658i
$478$	21.4792	−	3.17683i	0.982435	−	0.145305i
$479$	−18.7470	+	5.02325i	−0.856574	+	0.229518i	−0.660273	−	0.751025i	$-0.729560\pi$
$479$	−18.7470	+	5.02325i	−0.856574	+	0.229518i	−0.196301	+	0.980544i	$0.562893\pi$
$480$	5.56858	−	17.2058i	0.254170	−	0.785334i
$481$	25.4704	+	6.39546i	1.16135	+	0.291608i
$482$	−14.6585	−	5.79979i	−0.667676	−	0.264173i
$483$	−43.8273	+	75.9112i	−1.99421	+	3.45408i
$484$	−4.88146	+	20.8555i	−0.221885	+	0.947977i
$485$	0.0319168	−	0.119115i	0.00144927	−	0.00540874i
$486$	31.0920	−	4.59860i	1.41036	−	0.208597i
$487$	24.1356	−	24.1356i	1.09369	−	1.09369i	0.0985581	−	0.995131i	$-0.468577\pi$
$487$	24.1356	−	24.1356i	1.09369	−	1.09369i	0.995131	−	0.0985581i	$-0.0314230\pi$
$488$	−10.8016	+	1.95123i	−0.488966	+	0.0883282i
$489$	−15.3156	−	15.3156i	−0.692594	−	0.692594i
$490$	−2.73167	+	23.6570i	−0.123404	+	1.06871i
$491$	21.7515	+	21.7515i	0.981633	+	0.981633i	0.999834	−	0.0182017i	$-0.00579411\pi$
$491$	21.7515	+	21.7515i	0.981633	+	0.981633i	−0.0182017	+	0.999834i	$0.505794\pi$
$492$	−10.0045	+	0.319024i	−0.451036	+	0.0143827i
$493$	−14.8759	+	3.98598i	−0.669976	+	0.179520i
$494$	38.3799	+	28.4897i	1.72679	+	1.28181i
$495$	−1.69989	+	1.69989i	−0.0764045	+	0.0764045i
$496$	16.7265	−	5.64627i	0.751041	−	0.253525i
$497$	−3.17059	+	5.49162i	−0.142220	+	0.246333i
$498$	−13.1557	−	1.51909i	−0.589522	−	0.0680722i
$499$	−11.4153	−	19.7718i	−0.511017	−	0.885108i	−0.999918	−	0.0127689i	$-0.995935\pi$
$499$	−11.4153	−	19.7718i	−0.511017	−	0.885108i	0.488901	−	0.872339i	$-0.337398\pi$
$500$	4.79849	−	20.5010i	0.214595	−	0.916832i
$501$	−8.37132	+	14.4995i	−0.374003	+	0.647792i
$502$	−1.30680	+	11.3172i	−0.0583254	+	0.505112i
$503$	6.21387	+	23.1905i	0.277063	+	1.03401i	0.954446	+	0.298383i	$0.0964472\pi$
$503$	6.21387	+	23.1905i	0.277063	+	1.03401i	−0.677383	+	0.735630i	$0.736886\pi$
$504$	−15.5003	+	43.1475i	−0.690440	+	1.92194i
$505$	−17.9611	−	4.81267i	−0.799260	−	0.214161i
$506$	−0.659661	+	5.71282i	−0.0293255	+	0.253966i
$507$	10.2276	+	10.2276i	0.454225	+	0.454225i
$508$	24.9292	+	23.3884i	1.10605	+	1.03769i
$509$	5.62020	+	20.9749i	0.249111	+	0.929694i	0.971272	+	0.237970i	$0.0764820\pi$
$509$	5.62020	+	20.9749i	0.249111	+	0.929694i	−0.722162	+	0.691724i	$0.756851\pi$
$510$	14.6783	−	6.35589i	0.649966	−	0.281443i
$511$	−17.9911	−	31.1614i	−0.795878	−	1.37850i
$512$	−11.5587	−	19.4524i	−0.510827	−	0.859683i
$513$	3.00991	−	11.2331i	0.132891	−	0.495955i
$514$	0.127891	+	0.864696i	0.00564103	+	0.0381401i
$515$	12.4454	+	3.33474i	0.548410	+	0.146946i
$516$	7.23471	−	13.5076i	0.318490	−	0.594641i
$517$	2.12459	+	2.12459i	0.0934396	+	0.0934396i
$518$	−36.4480	−	13.7595i	−1.60143	−	0.604556i
$519$	39.1008			1.71634
$520$	9.83166	+	11.6179i	0.431147	+	0.509478i
$521$	5.41982	+	9.38740i	0.237447	+	0.411269i	0.959981	−	0.280066i	$-0.0903562\pi$
$521$	5.41982	+	9.38740i	0.237447	+	0.411269i	−0.722534	+	0.691335i	$0.757023\pi$
$522$	−13.1330	+	17.6921i	−0.574814	+	0.774361i
$523$	−12.6658	−	21.9378i	−0.553838	−	0.959275i	−0.997993	−	0.0633250i	$-0.979830\pi$
$523$	−12.6658	−	21.9378i	−0.553838	−	0.959275i	0.444155	−	0.895950i	$-0.353504\pi$
$524$	−10.2961	+	10.9744i	−0.449787	+	0.479417i
$525$	−10.3623	+	38.6726i	−0.452248	+	1.68781i
$526$	−22.8944	+	9.91358i	−0.998245	+	0.432253i
$527$	13.5224	+	7.80716i	0.589045	+	0.340085i
$528$	0.352267	+	5.51787i	0.0153305	+	0.240135i
$529$		−	33.9381i		−	1.47557i
$530$	−6.42503	−	8.10253i	−0.279085	−	0.351951i
$531$	−37.4573	+	21.6260i	−1.62551	+	0.938489i
$532$	−51.7132	−	48.5170i	−2.24205	−	2.10348i
$533$	4.21194	−	7.29529i	0.182439	−	0.315994i
$534$	−43.9079	−	5.07006i	−1.90008	−	0.219403i
$535$	5.90955	+	22.0548i	0.255492	+	0.953510i
$536$	−17.5315	+	25.2618i	−0.757245	+	1.09114i
$537$	−8.02415	+	29.9465i	−0.346268	+	1.29229i
$538$	−25.3762	−	32.0017i	−1.09405	−	1.37969i
$539$	−1.88443	−	7.03279i	−0.0811681	−	0.302924i
$540$	1.74833	−	3.26423i	0.0752361	−	0.140470i
$541$	25.0166			1.07555			0.537774	−	0.843089i	$-0.319266\pi$
$541$	25.0166			1.07555			0.537774	+	0.843089i	$0.319266\pi$
$542$	−24.5059	−	18.1909i	−1.05262	−	0.781366i
$543$	−17.0227	+	29.4842i	−0.730513	+	1.26529i
$544$	6.16252	−	19.0410i	0.264216	−	0.816376i
$545$			7.23452i			0.309893i
$546$	−44.0678	−	55.5734i	−1.88593	−	2.37832i
$547$	15.1787			0.648996			0.324498	−	0.945886i	$-0.394805\pi$
$547$	15.1787			0.648996			0.324498	+	0.945886i	$0.394805\pi$
$548$	−3.49199	+	14.9191i	−0.149171	+	0.637314i
$549$	−13.8898			−0.592801
$550$	0.384317	+	2.59844i	0.0163873	+	0.110798i
$551$	−17.0392	−	29.5127i	−0.725893	−	1.25728i
$552$	−9.73150	−	53.8714i	−0.414200	−	2.29292i
$553$	−30.1883	+	8.08892i	−1.28374	+	0.343976i
$554$	−2.54061	−	5.86729i	−0.107940	−	0.249277i
$555$	16.9922	+	9.45590i	0.721281	+	0.401381i
$556$	−0.164796	−	5.16794i	−0.00698890	−	0.219170i
$557$	−39.9182	−	23.0468i	−1.69139	−	0.976523i	−0.953400	−	0.301708i	$-0.902443\pi$
$557$	−39.9182	−	23.0468i	−1.69139	−	0.976523i	−0.737987	−	0.674815i	$-0.764223\pi$
$558$	22.0990	−	3.26850i	0.935525	−	0.138367i
$559$	6.44783	+	11.1680i	0.272714	+	0.472355i
$560$	−12.5121	−	18.7946i	−0.528733	−	0.794217i
$561$	−3.45801	+	3.45801i	−0.145997	+	0.145997i
$562$	9.10868	−	1.34720i	0.384227	−	0.0568282i
$563$		−	11.3088i		−	0.476609i	−0.971190	−	0.238305i	$-0.923408\pi$
$563$		−	11.3088i		−	0.476609i	0.971190	−	0.238305i	$-0.0765916\pi$
$564$	−25.2132	−	13.5042i	−1.06167	−	0.568631i
$565$	−12.6127	+	12.6127i	−0.530622	+	0.530622i
$566$	−0.635797	+	0.275308i	−0.0267246	+	0.0115721i
$567$	15.6861	−	27.1691i	0.658753	−	1.14099i
$568$	−0.704003	−	3.89721i	−0.0295393	−	0.163523i
$569$	1.59622	−	1.59622i	0.0669171	−	0.0669171i	−0.672856	−	0.739773i	$-0.734933\pi$
$569$	1.59622	−	1.59622i	0.0669171	−	0.0669171i	0.739773	+	0.672856i	$0.234933\pi$
$570$	21.9914	+	27.7331i	0.921119	+	1.16161i
$571$	−1.63062	+	0.436923i	−0.0682393	+	0.0182847i	−0.292777	−	0.956181i	$-0.594579\pi$
$571$	−1.63062	+	0.436923i	−0.0682393	+	0.0182847i	0.224538	+	0.974465i	$0.427913\pi$
$572$	−4.10190	−	2.19698i	−0.171509	−	0.0918605i
$573$	6.94013	−	4.00689i	0.289928	−	0.167390i
$574$	−7.44867	+	10.0345i	−0.310902	+	0.418831i
$575$	−6.73107	−	25.1207i	−0.280705	−	1.04761i
$576$	−10.0179	−	26.8235i	−0.417411	−	1.11765i
$577$	8.93003	+	33.3273i	0.371762	+	1.38744i	0.858018	+	0.513619i	$0.171695\pi$
$577$	8.93003	+	33.3273i	0.371762	+	1.38744i	−0.486256	+	0.873816i	$0.661638\pi$
$578$	−5.81822	+	2.51936i	−0.242006	+	0.104792i
$579$	21.9255	+	37.9760i	0.911192	+	1.57823i
$580$	−3.14108	−	10.3864i	−0.130426	−	0.431273i
$581$	−11.6914	+	11.6914i	−0.485039	+	0.485039i
$582$	−0.142613	−	0.329351i	−0.00591151	−	0.0136521i
$583$	2.73800	+	1.58078i	0.113396	+	0.0654694i
$584$	21.1488	+	7.59751i	0.875144	+	0.314387i
$585$	9.62959	+	16.6789i	0.398135	+	0.689589i
$586$	−15.8900	−	6.28706i	−0.656411	−	0.259716i
$587$	−36.9493	+	21.3327i	−1.52506	+	0.880493i	−0.525501	+	0.850793i	$0.676122\pi$
$587$	−36.9493	+	21.3327i	−1.52506	+	0.880493i	−0.999559	+	0.0297001i	$0.990545\pi$
$588$	36.5498	+	58.8882i	1.50729	+	2.42851i
$589$	−8.94250	+	33.3739i	−0.368469	+	1.37515i
$590$	2.44333	−	21.1599i	0.100590	−	0.871138i
$591$	15.7925			0.649616
$592$	22.9273	−	8.14495i	0.942305	−	0.334755i
$593$	32.5215			1.33550			0.667748	−	0.744387i	$-0.267258\pi$
$593$	32.5215			1.33550			0.667748	+	0.744387i	$0.267258\pi$
$594$	−0.129865	+	1.12466i	−0.00532841	+	0.0461453i
$595$	5.16866	−	19.2897i	0.211894	−	0.790800i
$596$	−12.4222	+	7.71004i	−0.508834	+	0.315816i
$597$	34.8396	−	20.1147i	1.42589	−	0.823239i
$598$	42.8397	+	16.9500i	1.75185	+	0.693138i
$599$	17.7495	+	30.7431i	0.725227	+	1.25613i	0.958881	+	0.283810i	$0.0915984\pi$
$599$	17.7495	+	30.7431i	0.725227	+	1.25613i	−0.233654	+	0.972320i	$0.575068\pi$
$600$	−10.6620	−	22.6173i	−0.435274	−	0.923346i
$601$	−28.2633	−	16.3179i	−1.15289	−	0.665619i	−0.203297	−	0.979117i	$-0.565166\pi$
$601$	−28.2633	−	16.3179i	−1.15289	−	0.665619i	−0.949589	+	0.313498i	$0.898499\pi$
$602$	−7.60185	−	17.5557i	−0.309828	−	0.715518i
$603$	−27.5139	+	27.5139i	−1.12045	+	1.12045i
$604$	21.2218	−	6.41791i	0.863501	−	0.261141i
$605$	−6.67405	−	11.5598i	−0.271339	−	0.469972i
$606$	−49.6622	+	21.5044i	−2.01739	+	0.873555i
$607$	11.0144	+	41.1061i	0.447059	+	1.66845i	0.710442	+	0.703755i	$0.248495\pi$
$607$	11.0144	+	41.1061i	0.447059	+	1.66845i	−0.263384	+	0.964691i	$0.584838\pi$
$608$	44.2273	+	2.26671i	1.79366	+	0.0919270i
$609$	13.0877	+	48.8439i	0.530340	+	1.97925i
$610$	4.07712	−	5.49249i	0.165078	−	0.222384i
$611$	20.8460	−	12.0355i	0.843340	−	0.486902i
$612$	11.9572	−	22.3248i	0.483341	−	0.902427i
$613$	−9.18318	+	2.46063i	−0.370905	+	0.0993837i	−0.439457	−	0.898264i	$-0.644829\pi$
$613$	−9.18318	+	2.46063i	−0.370905	+	0.0993837i	0.0685514	+	0.997648i	$0.478162\pi$
$614$	18.4033	+	23.2082i	0.742698	+	0.936607i
$615$	4.41079	−	4.41079i	0.177860	−	0.177860i
$616$	5.67120	+	3.93577i	0.228499	+	0.158577i
$617$	−0.0167139	+	0.0289493i	−0.000672877	+	0.00116546i	−0.866362	−	0.499417i	$-0.833548\pi$
$617$	−0.0167139	+	0.0289493i	−0.000672877	+	0.00116546i	0.865689	+	0.500583i	$0.166881\pi$
$618$	34.4113	−	14.9005i	1.38423	−	0.599388i
$619$	−21.0015	+	21.0015i	−0.844121	+	0.844121i	−0.989392	−	0.145271i	$-0.953595\pi$
$619$	−21.0015	+	21.0015i	−0.844121	+	0.844121i	0.145271	+	0.989392i	$0.453595\pi$
$620$	−5.19432	+	9.69810i	−0.208609	+	0.389485i
$621$		−	11.2092i		−	0.449808i
$622$	7.55517	−	1.11743i	0.302935	−	0.0448049i
$623$	−39.0205	+	39.0205i	−1.56332	+	1.56332i
$624$	43.4293	+	8.71520i	1.73857	+	0.348887i
$625$	−2.05581	−	3.56076i	−0.0822323	−	0.142431i
$626$	−29.1717	+	4.31458i	−1.16594	+	0.172445i
$627$	−9.37154	−	5.41066i	−0.374263	−	0.216081i
$628$	−3.95461	+	0.126105i	−0.157806	+	0.00503214i
$629$	18.8046	+	10.4645i	0.749790	+	0.417246i
$630$	−11.3531	−	26.2188i	−0.452317	−	1.04458i
$631$	19.2442	−	5.15647i	0.766099	−	0.205276i	0.145452	−	0.989365i	$-0.453536\pi$
$631$	19.2442	−	5.15647i	0.766099	−	0.205276i	0.620648	+	0.784090i	$0.286870\pi$
$632$	11.1285	−	16.0355i	0.442667	−	0.637856i
$633$	8.42745	+	14.5968i	0.334961	+	0.580169i
$634$	1.08129	+	7.31082i	0.0429435	+	0.290350i
$635$	−21.3024			−0.845360
$636$	−29.3039	−	6.85890i	−1.16197	−	0.271973i
$637$	−58.3291			−2.31108
$638$	2.06129	+	2.59947i	0.0816074	+	0.102914i
$639$		−	5.01142i		−	0.198249i
$640$	13.5475	+	3.91220i	0.535512	+	0.154643i
$641$	9.86410	−	17.0851i	0.389608	−	0.674821i	−0.602788	−	0.797901i	$-0.705944\pi$
$641$	9.86410	−	17.0851i	0.389608	−	0.674821i	0.992397	+	0.123080i	$0.0392770\pi$
$642$	53.3584	+	39.6083i	2.10589	+	1.56322i
$643$	−17.6437			−0.695799			−0.347900	−	0.937532i	$-0.613105\pi$
$643$	−17.6437			−0.695799			−0.347900	+	0.937532i	$0.613105\pi$
$644$	−60.2495	−	32.2697i	−2.37416	−	1.27160i
$645$	2.47149	+	9.22374i	0.0973150	+	0.363185i
$646$	24.3370	+	30.6912i	0.957528	+	1.20753i
$647$	−9.24166	+	34.4903i	−0.363327	+	1.35596i	0.506347	+	0.862330i	$0.330995\pi$
$647$	−9.24166	+	34.4903i	−0.363327	+	1.35596i	−0.869674	+	0.493626i	$0.835671\pi$
$648$	3.48296	+	19.2809i	0.136824	+	0.757425i
$649$	1.68552	+	6.29044i	0.0661624	+	0.246921i
$650$	20.9044	+	2.41383i	0.819936	+	0.0946782i
$651$	25.6342	−	44.3998i	1.00469	−	1.74017i
$652$	11.5554	−	12.3166i	0.452543	−	0.482355i
$653$	25.7591	−	14.8720i	1.00803	−	0.581988i	0.0974174	−	0.995244i	$-0.468942\pi$
$653$	25.7591	−	14.8720i	1.00803	−	0.581988i	0.910615	+	0.413256i	$0.135608\pi$
$654$	13.0823	+	16.4979i	0.511558	+	0.645120i
$655$		−	9.37776i		−	0.366419i
$656$	−0.497253	−	7.78891i	−0.0194145	−	0.304106i
$657$	24.6268	+	14.2183i	0.960783	+	0.554708i
$658$	−32.7693	+	14.1895i	−1.27748	+	0.553166i
$659$	1.93283	−	7.21343i	0.0752924	−	0.280995i	−0.918007	−	0.396564i	$-0.870202\pi$
$659$	1.93283	−	7.21343i	0.0752924	−	0.280995i	0.993299	+	0.115569i	$0.0368691\pi$
$660$	−2.51286	−	2.35755i	−0.0978130	−	0.0917677i
$661$	12.4370	+	21.5415i	0.483742	+	0.837866i	0.999826	−	0.0186722i	$-0.00594389\pi$
$661$	12.4370	+	21.5415i	0.483742	+	0.837866i	−0.516083	+	0.856538i	$0.672611\pi$
$662$	19.1702	−	25.8252i	0.745071	−	1.00372i
$663$	19.5890	+	33.9292i	0.760774	+	1.31770i
$664$	0.856944	−	10.2905i	0.0332559	−	0.399348i
$665$	44.1897			1.71360
$666$	30.3827	−	4.98517i	1.17731	−	0.193171i
$667$	−23.2263	−	23.2263i	−0.899325	−	0.899325i
$668$	−11.5081	−	6.16373i	−0.445260	−	0.238482i
$669$	−58.7733	−	15.7483i	−2.27231	−	0.608863i
$670$	−2.80368	−	18.9562i	−0.108315	−	0.732342i
$671$	−0.541281	+	2.02009i	−0.0208959	+	0.0779846i
$672$	−62.5198	−	20.2342i	−2.41175	−	0.780551i
$673$	−18.6434	−	32.2913i	−0.718650	−	1.24474i	−0.961535	−	0.274683i	$-0.911427\pi$
$673$	−18.6434	−	32.2913i	−0.718650	−	1.24474i	0.242885	−	0.970055i	$-0.421906\pi$
$674$	25.5201	−	11.0505i	0.982996	−	0.425649i
$675$	−1.32512	−	4.94540i	−0.0510038	−	0.190349i
$676$	−7.71658	+	8.22493i	−0.296792	+	0.316343i
$677$	7.85491	+	7.85491i	0.301889	+	0.301889i	0.841752	−	0.539864i	$-0.181524\pi$
$677$	7.85491	+	7.85491i	0.301889	+	0.301889i	−0.539864	+	0.841752i	$0.681524\pi$
$678$	−5.95485	+	51.5704i	−0.228695	+	1.98055i
$679$	−0.432822	−	0.115974i	−0.0166102	−	0.00445068i
$680$	5.31815	+	11.2814i	0.203942	+	0.432621i
$681$	−16.1706	−	60.3494i	−0.619657	−	2.31259i
$682$	0.385830	−	3.34138i	0.0147742	−	0.127948i
$683$	2.79161	−	4.83522i	0.106818	−	0.185014i	−0.807661	−	0.589646i	$-0.799267\pi$
$683$	2.79161	−	4.83522i	0.106818	−	0.185014i	0.914480	+	0.404632i	$0.132600\pi$
$684$	54.5648	+	12.7715i	2.08634	+	0.488331i
$685$	−4.77433	−	8.26939i	−0.182418	−	0.315957i
$686$	41.4234	+	4.78317i	1.58155	+	0.182622i
$687$	32.7175	−	56.6684i	1.24825	−	2.16203i
$688$	10.7068	+	5.30258i	0.408192	+	0.202159i
$689$	17.9097	−	17.9097i	0.682306	−	0.682306i
$690$	27.3930	+	20.3340i	1.04283	+	0.774103i
$691$	16.9486	−	4.54135i	0.644753	−	0.172761i	0.0783978	−	0.996922i	$-0.475020\pi$
$691$	16.9486	−	4.54135i	0.644753	−	0.172761i	0.566356	+	0.824161i	$0.308353\pi$
$692$	0.971716	+	30.4727i	0.0369391	+	1.15840i
$693$	6.17680	+	6.17680i	0.234637	+	0.234637i
$694$	−0.313356	+	2.71374i	−0.0118948	+	0.103012i
$695$	2.27845	+	2.27845i	0.0864266	+	0.0864266i
$696$	−25.9450	−	18.0056i	−0.983442	−	0.682501i
$697$	4.88125	−	4.88125i	0.184890	−	0.184890i
$698$	17.2034	−	2.54444i	0.651160	−	0.0963084i
$699$	1.72675	−	6.44433i	0.0653118	−	0.243747i
$700$	−30.3965	−	7.11463i	−1.14888	−	0.268908i
$701$	13.4731	−	23.3361i	0.508872	−	0.881393i	−0.491075	−	0.871117i	$-0.663396\pi$
$701$	13.4731	−	23.3361i	0.508872	−	0.881393i	0.999947	−	0.0102755i	$-0.00327084\pi$
$702$	8.43367	+	3.33688i	0.318308	+	0.125942i
$703$	−11.5970	+	46.1860i	−0.437389	+	1.74194i
$704$	−4.29152	+	0.411662i	−0.161743	+	0.0155151i
$705$	17.2169	−	4.61327i	0.648428	−	0.173746i
$706$	7.83195	−	1.15837i	0.294759	−	0.0435957i
$707$	−17.4875	+	65.2643i	−0.657686	+	2.45452i
$708$	−32.6918	−	52.6722i	−1.22863	−	1.97954i
$709$		−	9.54511i		−	0.358474i	−0.983806	−	0.179237i	$-0.942637\pi$
$709$		−	9.54511i		−	0.358474i	0.983806	−	0.179237i	$-0.0573629\pi$
$710$	1.98168	+	1.47102i	0.0743713	+	0.0552064i
$711$	17.4650	−	17.4650i	0.654990	−	0.654990i
$712$	2.86010	−	34.3450i	0.107187	−	1.28713i
$713$			33.3026i			1.24719i
$714$	−23.0950	−	53.3357i	−0.864309	−	1.99604i
$715$	2.80100	−	0.750525i	0.104751	−	0.0280680i
$716$	−23.5378	−	5.50929i	−0.879649	−	0.205892i
$717$			39.3810i			1.47071i
$718$	30.0749	+	3.47275i	1.12239	+	0.129602i
$719$	−25.1221	−	14.5042i	−0.936895	−	0.540917i	−0.0479093	−	0.998852i	$-0.515256\pi$
$719$	−25.1221	−	14.5042i	−0.936895	−	0.540917i	−0.888986	+	0.457935i	$0.848589\pi$
$720$	15.9902	+	7.91920i	0.595918	+	0.295131i
$721$	12.1172	−	45.2222i	0.451270	−	1.68416i
$722$	−35.6452	+	48.0194i	−1.32658	+	1.78710i
$723$	14.2959	−	24.7612i	0.531669	−	0.920878i
$724$	−23.4011	−	12.5337i	−0.869695	−	0.465810i
$725$	−12.9930	−	7.50152i	−0.482548	−	0.278599i
$726$	−36.1236	−	14.2927i	−1.34067	−	0.530451i
$727$	−8.45996	+	31.5730i	−0.313762	+	1.17098i	0.611374	+	0.791342i	$0.290617\pi$
$727$	−8.45996	+	31.5730i	−0.313762	+	1.17098i	−0.925136	+	0.379635i	$0.876049\pi$
$728$	42.2152	−	35.7247i	1.56460	−	1.32405i
$729$			36.2241i			1.34163i
$730$	−12.8512	+	5.56472i	−0.475644	+	0.205960i
$731$	2.73511	+	10.2076i	0.101162	+	0.377540i
$732$	−0.634511	−	19.8980i	−0.0234522	−	0.735453i
$733$	−35.5151	−	9.51623i	−1.31178	−	0.351490i	−0.465887	−	0.884844i	$-0.654265\pi$
$733$	−35.5151	−	9.51623i	−1.31178	−	0.351490i	−0.845892	+	0.533354i	$0.820931\pi$
$734$	−33.1750	+	14.3652i	−1.22451	+	0.530229i
$735$	−41.7204	−	11.1790i	−1.53888	−	0.412342i
$736$	41.7421	−	8.92289i	1.53863	−	0.328902i
$737$	2.92933	+	5.07375i	0.107903	+	0.186894i
$738$	1.13289	−	9.81111i	0.0417023	−	0.361152i
$739$	−29.1744	−	29.1744i	−1.07320	−	1.07320i	−0.997100	−	0.0760966i	$-0.975754\pi$
$739$	−29.1744	−	29.1744i	−1.07320	−	1.07320i	−0.0760966	−	0.997100i	$-0.524246\pi$
$740$	−6.94704	+	13.4777i	−0.255378	+	0.495449i
$741$	−61.3009	+	61.3009i	−2.25195	+	2.25195i
$742$	−29.4417	+	23.3463i	−1.08084	+	0.857068i
$743$	3.19132	−	1.84251i	0.117078	−	0.0675952i	−0.440317	−	0.897842i	$-0.645134\pi$
$743$	3.19132	−	1.84251i	0.117078	−	0.0675952i	0.557396	+	0.830247i	$0.311801\pi$
$744$	5.69187	+	31.5090i	0.208674	+	1.15517i
$745$	2.35816	−	8.80076i	0.0863961	−	0.322435i
$746$	−5.38595	+	13.6125i	−0.197194	+	0.498390i
$747$	3.38195	−	12.6216i	0.123739	−	0.461800i
$748$	−2.78089	−	2.60901i	−0.101679	−	0.0953949i
$749$	80.1391	−	21.4732i	2.92822	−	0.784613i
$750$	35.5095	+	14.0497i	1.29662	+	0.513024i
$751$	24.8596			0.907138			0.453569	−	0.891221i	$-0.350151\pi$
$751$	24.8596			0.907138			0.453569	+	0.891221i	$0.350151\pi$
$752$	9.89775	−	19.9852i	0.360934	−	0.728784i
$753$	−19.9586	−	5.34788i	−0.727330	−	0.194888i
$754$	24.3895	−	10.5610i	0.888213	−	0.384608i
$755$	−6.90831	+	11.9655i	−0.251419	+	0.435471i
$756$	−11.8611	−	6.35280i	−0.431382	−	0.231049i
$757$	17.4129	+	10.0534i	0.632883	+	0.365395i	0.781868	−	0.623444i	$-0.214267\pi$
$757$	17.4129	+	10.0534i	0.632883	+	0.365395i	−0.148985	+	0.988840i	$0.547600\pi$
$758$	−2.52998	+	0.374192i	−0.0918931	+	0.0135912i
$759$	−10.0749	−	2.69956i	−0.365695	−	0.0979878i
$760$	−21.0669	+	17.8279i	−0.764177	+	0.646686i
$761$	−7.07569	+	12.2555i	−0.256494	+	0.444260i	−0.965300	−	0.261143i	$-0.915901\pi$
$761$	−7.07569	+	12.2555i	−0.256494	+	0.444260i	0.708806	+	0.705403i	$0.249234\pi$
$762$	−48.5789	+	38.5214i	−1.75983	+	1.39548i
$763$	26.2877			0.951677
$764$	3.29518	+	5.30912i	0.119216	+	0.192077i
$765$	4.08478	+	15.2446i	0.147685	+	0.551169i
$766$	−4.50060	+	11.3749i	−0.162613	+	0.410991i
$767$	52.1722			1.88383
$768$	37.9688	−	15.5766i	1.37008	−	0.562072i
$769$	12.4319	+	12.4319i	0.448307	+	0.448307i	0.894792	−	0.446484i	$-0.147324\pi$
$769$	12.4319	+	12.4319i	0.448307	+	0.448307i	−0.446484	+	0.894792i	$0.647324\pi$
$770$	−4.25561	+	0.629417i	−0.153362	+	0.0226826i
$771$	−1.58538			−0.0570959
$772$	−29.0512	+	18.0311i	−1.04558	+	0.648952i
$773$	−34.3037	−	9.19166i	−1.23382	−	0.330601i	−0.417754	−	0.908560i	$-0.637183\pi$
$773$	−34.3037	−	9.19166i	−1.23382	−	0.330601i	−0.816066	+	0.577959i	$0.803849\pi$
$774$	12.1400	+	9.01159i	0.436362	+	0.323915i
$775$	3.93695	+	14.6929i	0.141419	+	0.527784i
$776$	0.253131	−	0.119328i	0.00908688	−	0.00428364i
$777$	34.3593	−	61.7437i	1.23263	−	2.21504i
$778$	−9.03489	+	3.91222i	−0.323917	+	0.140260i
$779$	13.2287	+	7.63757i	0.473966	+	0.273644i
$780$	−23.4538	+	14.5570i	−0.839780	+	0.521223i
$781$	−0.728846	−	0.195294i	−0.0260801	−	0.00698815i
$782$	30.3147	+	22.5029i	1.08405	+	0.804701i
$783$	−4.57246	−	4.57246i	−0.163406	−	0.163406i
$784$	−44.9853	+	29.9480i	−1.60662	+	1.06957i
$785$	1.74352	−	1.74352i	0.0622288	−	0.0622288i
$786$	−16.9579	−	21.3855i	−0.604870	−	0.762794i
$787$	−3.48786	+	3.48786i	−0.124329	+	0.124329i	−0.766533	−	0.642205i	$-0.778020\pi$
$787$	−3.48786	+	3.48786i	−0.124329	+	0.124329i	0.642205	+	0.766533i	$0.278020\pi$
$788$	0.392468	+	12.3076i	0.0139811	+	0.438442i
$789$	−11.7115	−	43.7079i	−0.416941	−	1.55604i
$790$	1.77969	+	12.0328i	0.0633186	+	0.428109i
$791$	45.8301	+	45.8301i	1.62953	+	1.62953i
$792$	−5.43668	−	0.452742i	−0.193184	−	0.0160875i
$793$	14.5097	+	8.37718i	0.515255	+	0.297482i
$794$	10.0677	−	7.98335i	0.357290	−	0.283319i
$795$	16.2425	−	9.37764i	0.576064	−	0.332591i
$796$	16.5419	+	26.6519i	0.586312	+	0.944651i
$797$	37.7951	+	21.8210i	1.33877	+	0.772940i	0.986625	−	0.163005i	$-0.0521187\pi$
$797$	37.7951	+	21.8210i	1.33877	+	0.772940i	0.352146	+	0.935945i	$0.385452\pi$
$798$	100.772	−	79.9089i	3.56730	−	2.82875i
$799$	19.0533	−	5.10532i	0.674058	−	0.180613i
$800$	17.3615	−	8.87135i	0.613821	−	0.313650i
$801$	11.2874	−	42.1252i	0.398822	−	1.48842i
$802$	−26.0358	−	32.8335i	−0.919358	−	1.15939i
$803$	3.02757	−	3.02757i	0.106840	−	0.106840i
$804$	−40.6724	−	38.1586i	−1.43441	−	1.34575i
$805$	41.1416	−	11.0239i	1.45005	−	0.388540i
$806$	−25.0566	−	9.91392i	−0.882581	−	0.349203i
$807$	64.1514	−	37.0378i	2.25824	−	1.30379i
$808$	−17.9933	−	38.1691i	−0.633002	−	1.34279i
$809$	0.914991	+	0.245171i	0.0321694	+	0.00861976i	0.274868	−	0.961482i	$-0.411366\pi$
$809$	0.914991	+	0.245171i	0.0321694	+	0.00861976i	−0.242698	+	0.970102i	$0.578033\pi$
$810$	−9.80411	−	7.27766i	−0.344481	−	0.255711i
$811$	−3.86309	+	14.4173i	−0.135651	+	0.506258i	0.864343	+	0.502903i	$0.167735\pi$
$811$	−3.86309	+	14.4173i	−0.135651	+	0.506258i	−0.999994	+	0.00335524i	$0.998932\pi$
$812$	−37.7405	+	11.4135i	−1.32443	+	0.400537i
$813$	39.1411	−	39.1411i	1.37274	−	1.37274i
$814$	0.458978	−	4.61304i	0.0160872	−	0.161687i
$815$			10.5247i			0.368665i
$816$	32.5280	+	16.1097i	1.13871	+	0.563951i
$817$	−20.2511	+	11.6920i	−0.708495	+	0.409050i
$818$	3.89480	+	26.3335i	0.136179	+	0.920729i
$819$	60.6053	−	34.9905i	2.11772	−	1.22267i
$820$	3.54710	+	3.32787i	0.123870	+	0.116214i
$821$	−14.3276	−	3.83906i	−0.500035	−	0.133984i	−1.89299e−5	−	1.00000i	$-0.500006\pi$
$821$	−14.3276	−	3.83906i	−0.500035	−	0.133984i	−0.500016	+	0.866016i	$0.666673\pi$
$822$	−25.8413	−	10.2244i	−0.901318	−	0.356616i
$823$	−16.5962	+	28.7455i	−0.578508	+	1.00201i	0.417143	+	0.908841i	$0.363031\pi$
$823$	−16.5962	+	28.7455i	−0.578508	+	1.00201i	−0.995651	+	0.0931642i	$0.970302\pi$
$824$	12.4677	+	26.4477i	0.434333	+	0.921349i
$825$	−4.76410			−0.165865
$826$	−76.8873	−	8.87819i	−2.67525	−	0.308912i
$827$	−26.1415	−	45.2785i	−0.909030	−	1.57449i	−0.815414	−	0.578878i	$-0.803491\pi$
$827$	−26.1415	−	45.2785i	−0.909030	−	1.57449i	−0.0936156	−	0.995608i	$-0.529842\pi$
$828$	53.9871	−	1.72155i	1.87618	−	0.0598279i
$829$	−41.7410	−	24.0992i	−1.44973	−	0.837000i	−0.451262	−	0.892392i	$-0.649026\pi$
$829$	−41.7410	−	24.0992i	−1.44973	−	0.837000i	−0.998465	+	0.0553916i	$0.982359\pi$
$830$	3.99829	+	5.04220i	0.138783	+	0.175017i
$831$	11.2013	−	3.00137i	0.388568	−	0.104117i
$832$	−5.71278	+	34.0626i	−0.198055	+	1.18091i
$833$	−46.1703	−	12.3713i	−1.59971	−	0.428640i
$834$	9.31605	+	1.07573i	0.322588	+	0.0372493i
$835$	7.85832	−	2.10563i	0.271948	−	0.0728683i
$836$	3.98383	−	7.43804i	0.137784	−	0.257250i
$837$			6.55615i			0.226614i
$838$	−4.14127	−	27.9999i	−0.143058	−	0.967242i
$839$	−25.2314	−	14.5674i	−0.871085	−	0.502921i	−0.00337652	−	0.999994i	$-0.501075\pi$
$839$	−25.2314	−	14.5674i	−0.871085	−	0.502921i	−0.867709	+	0.497073i	$0.834408\pi$
$840$	37.0416	−	17.4618i	1.27806	−	0.602488i
$841$	10.0510			0.346587
$842$	15.4093	+	1.77932i	0.531041	+	0.0613194i
$843$			16.7003i			0.575189i
$844$	−11.1663	+	6.93056i	−0.384362	+	0.238560i
$845$		−	7.02833i		−	0.241782i
$846$	16.8209	−	22.6603i	0.578316	−	0.779078i
$847$	−42.0041	+	24.2511i	−1.44328	+	0.833278i
$848$	4.61714	−	23.0080i	0.158553	−	0.790098i
$849$	−0.325238	−	1.21381i	−0.0111621	−	0.0416577i
$850$	16.0349	+	6.34437i	0.549991	+	0.217610i
$851$	0.724789	+	45.8932i	0.0248454	+	1.57320i
$852$	7.17919	−	0.228931i	0.245955	−	0.00784304i
$853$	−7.94355	+	13.7586i	−0.271982	+	0.471087i	−0.969369	−	0.245608i	$-0.921012\pi$
$853$	−7.94355	+	13.7586i	−0.271982	+	0.471087i	0.697387	+	0.716695i	$0.254346\pi$
$854$	−19.9577	−	14.8148i	−0.682940	−	0.506951i
$855$	−30.2442	+	17.4615i	−1.03433	+	0.597171i
$856$	−29.5421	+	42.5684i	−1.00973	+	1.45496i
$857$	−9.25252	−	9.25252i	−0.316060	−	0.316060i	0.531192	−	0.847252i	$-0.321744\pi$
$857$	−9.25252	−	9.25252i	−0.316060	−	0.316060i	−0.847252	+	0.531192i	$0.821744\pi$
$858$	5.03034	−	6.77662i	0.171733	−	0.231350i
$859$	−54.3888			−1.85572			−0.927861	−	0.372927i	$-0.878354\pi$
$859$	−54.3888			−1.85572			−0.927861	+	0.372927i	$0.878354\pi$
$860$	−7.12697	+	2.15535i	−0.243028	+	0.0734968i
$861$	−16.0272	−	16.0272i	−0.546206	−	0.546206i
$862$	−0.790226	−	0.312662i	−0.0269152	−	0.0106493i
$863$	9.73573	+	5.62093i	0.331408	+	0.191339i	0.656466	−	0.754355i	$-0.272050\pi$
$863$	9.73573	+	5.62093i	0.331408	+	0.191339i	−0.325058	+	0.945694i	$0.605384\pi$
$864$	8.21759	−	1.75661i	0.279568	−	0.0597611i
$865$	−13.4349	−	13.4349i	−0.456799	−	0.456799i
$866$	1.20245	+	0.138847i	0.0408607	+	0.00471820i
$867$	−2.97628	−	11.1076i	−0.101080	−	0.377234i
$868$	35.2394	+	18.8743i	1.19610	+	0.640635i
$869$	−1.85946	−	3.22067i	−0.0630777	−	0.109254i
$870$	19.4689	−	2.87950i	0.660056	−	0.0976242i
$871$	45.3361	−	12.1478i	1.53615	−	0.411611i
$872$	−12.5323	+	10.6055i	−0.424398	+	0.359148i
$873$	0.342058	−	0.0916541i	0.0115769	−	0.00310202i
$874$	−30.7357	+	77.6820i	−1.03965	+	2.62763i
$875$	41.2901	−	23.8389i	1.39586	−	0.805901i
$876$	−19.2437	+	35.9291i	−0.650183	+	1.21393i
$877$	−2.26824	−	2.26824i	−0.0765932	−	0.0765932i	0.667772	−	0.744366i	$-0.267248\pi$
$877$	−2.26824	−	2.26824i	−0.0765932	−	0.0765932i	−0.744366	+	0.667772i	$0.767248\pi$
$878$	−16.2841	+	41.1567i	−0.549563	+	1.38897i
$879$	15.4969	−	26.8415i	0.522699	−	0.905341i
$880$	1.77488	−	2.01695i	0.0598311	−	0.0679915i
$881$	34.5786	−	19.9639i	1.16498	−	0.672602i	0.212488	−	0.977164i	$-0.431843\pi$
$881$	34.5786	−	19.9639i	1.16498	−	0.672602i	0.952493	+	0.304561i	$0.0985099\pi$
$882$	−62.7554	+	27.1739i	−2.11308	+	0.914991i
$883$	−25.5124	−	44.1888i	−0.858561	−	1.48707i	−0.873302	−	0.487180i	$-0.838026\pi$
$883$	−25.5124	−	44.1888i	−0.858561	−	1.48707i	0.0147408	−	0.999891i	$-0.495308\pi$
$884$	−25.9554	+	16.1096i	−0.872974	+	0.541825i
$885$	37.3166	+	9.99896i	1.25438	+	0.336111i
$886$	10.4442	−	8.28186i	0.350878	−	0.278235i
$887$			8.03982i			0.269951i	0.990849	+	0.134975i	$0.0430955\pi$
$887$			8.03982i			0.269951i	−0.990849	+	0.134975i	$0.956904\pi$
$888$	8.52952	+	43.2975i	0.286232	+	1.45297i
$889$			77.4052i			2.59609i
$890$	13.3445	+	16.8286i	0.447309	+	0.564096i
$891$	3.60586	+	0.966188i	0.120801	+	0.0323685i
$892$	10.8126	−	46.1955i	0.362032	−	1.54674i
$893$	21.8241	+	37.8004i	0.730315	+	1.26494i
$894$	−10.5369	−	24.3339i	−0.352407	−	0.813849i
$895$	13.0465	−	7.53243i	0.436098	−	0.251781i
$896$	14.2155	−	49.2267i	0.474907	−	1.64455i
$897$	−41.7800	+	72.3650i	−1.39499	+	2.41620i
$898$	33.7230	+	13.3429i	1.12535	+	0.445258i
$899$	13.5849	+	13.5849i	0.453080	+	0.453080i
$900$	23.6152	−	7.14174i	0.787174	−	0.238058i
$901$	17.9750	−	10.3779i	0.598834	−	0.345737i
$902$	−1.38275	−	0.547100i	−0.0460405	−	0.0182164i
$903$	33.5158	−	8.98052i	1.11533	−	0.298853i
$904$	−40.3387	−	3.35922i	−1.34164	−	0.111726i
$905$	15.9795	−	4.28170i	0.531177	−	0.142329i
$906$	5.88346	+	39.7792i	0.195465	+	1.32157i
$907$	−27.6178	−	47.8355i	−0.917035	−	1.58835i	−0.803895	−	0.594772i	$-0.797242\pi$
$907$	−27.6178	−	47.8355i	−0.917035	−	1.58835i	−0.113140	−	0.993579i	$-0.536091\pi$
$908$	46.6306	−	14.1021i	1.54749	−	0.467994i
$909$	−13.8203	−	51.5782i	−0.458392	−	1.71074i
$910$	−3.95327	+	34.2362i	−0.131049	+	1.13492i
$911$	−16.6794	−	16.6794i	−0.552612	−	0.552612i	0.374582	−	0.927194i	$-0.377786\pi$
$911$	−16.6794	−	16.6794i	−0.552612	−	0.552612i	−0.927194	+	0.374582i	$0.877786\pi$
$912$	−15.8034	+	78.7512i	−0.523303	+	2.60771i
$913$	−1.70385	−	0.983720i	−0.0563893	−	0.0325564i
$914$	−3.12845	+	7.90689i	−0.103480	+	0.261537i
$915$	8.77269	+	8.77269i	0.290016	+	0.290016i
$916$	44.9768	+	24.0896i	1.48607	+	0.795943i
$917$	−34.0754			−1.12527
$918$	5.96793	+	4.43004i	0.196971	+	0.146213i
$919$	8.60496	+	8.60496i	0.283851	+	0.283851i	0.834643	−	0.550791i	$-0.185674\pi$
$919$	8.60496	+	8.60496i	0.283851	+	0.283851i	−0.550791	+	0.834643i	$0.685674\pi$
$920$	−15.1663	+	21.8537i	−0.500017	+	0.720494i
$921$	−46.5238	+	26.8605i	−1.53301	+	0.885085i
$922$	−18.8379	+	25.3775i	−0.620395	+	0.835765i
$923$	−3.02248	+	5.23509i	−0.0994861	+	0.172315i
$924$	−8.56651	+	9.13084i	−0.281817	+	0.300383i
$925$	5.74514	+	20.1621i	0.188899	+	0.662925i
$926$	−12.3350	+	31.1757i	−0.405354	+	1.02450i
$927$	9.57622	+	35.7389i	0.314524	+	1.17382i
$928$	13.3877	−	20.6673i	0.439471	−	0.678438i
$929$	9.14469	−	5.27969i	0.300027	−	0.173221i	−0.342428	−	0.939544i	$-0.611249\pi$
$929$	9.14469	−	5.27969i	0.300027	−	0.173221i	0.642455	+	0.766323i	$0.277916\pi$
$930$	−16.0219	−	11.8932i	−0.525380	−	0.389993i
$931$		−	105.769i		−	3.46644i
$932$	5.06521	+	1.18557i	0.165916	+	0.0388346i
$933$			13.8520i			0.453495i
$934$	3.06568	−	26.5496i	0.100312	−	0.868728i
$935$	2.37631			0.0777136
$936$	−14.7762	+	41.1319i	−0.482977	+	1.34444i
$937$	−31.8405	−	18.3831i	−1.04018	−	0.600550i	−0.120298	−	0.992738i	$-0.538385\pi$
$937$	−31.8405	−	18.3831i	−1.04018	−	0.600550i	−0.919885	+	0.392188i	$0.871718\pi$
$938$	−68.8800	+	10.1876i	−2.24901	+	0.332635i
$939$		−	53.4848i		−	1.74541i
$940$	4.02315	+	13.3031i	0.131221	+	0.433900i
$941$	−24.5180	+	6.56957i	−0.799262	+	0.214162i	−0.635260	−	0.772298i	$-0.719107\pi$
$941$	−24.5180	+	6.56957i	−0.799262	+	0.214162i	−0.164002	+	0.986460i	$0.552440\pi$
$942$	0.823167	−	7.12882i	0.0268202	−	0.232270i
$943$	14.2215	+	3.81064i	0.463116	+	0.124091i
$944$	40.2369	−	26.7869i	1.30960	−	0.871839i
$945$	8.09937	−	2.17022i	0.263472	−	0.0705972i
$946$	1.78371	−	1.41442i	0.0579934	−	0.0459868i
$947$	9.70103	+	5.60089i	0.315241	+	0.182004i	0.649269	−	0.760559i	$-0.275075\pi$
$947$	9.70103	+	5.60089i	0.315241	+	0.182004i	−0.334028	+	0.942563i	$0.608408\pi$
$948$	25.8177	+	24.2220i	0.838519	+	0.786694i
$949$	−17.1506	−	29.7058i	−0.556733	−	0.964290i
$950$	−4.37704	+	37.9062i	−0.142010	+	1.22984i
$951$	−13.4040			−0.434655
$952$	40.9924	−	19.3242i	1.32857	−	0.626302i
$953$	3.88119	−	6.72241i	0.125724	−	0.217760i	−0.796292	−	0.604913i	$-0.793208\pi$
$953$	3.88119	−	6.72241i	0.125724	−	0.217760i	0.922016	+	0.387152i	$0.126541\pi$
$954$	10.9252	−	27.6124i	0.353715	−	0.893985i
$955$	−3.76134	−	1.00785i	−0.121714	−	0.0326132i
$956$	−30.6910	+	0.978678i	−0.992618	+	0.0316527i
$957$	−5.21097	+	3.00856i	−0.168447	+	0.0972528i
$958$	27.1522	−	4.01589i	0.877247	−	0.129747i
$959$	−30.0480	+	17.3482i	−0.970300	+	0.560203i
$960$	−10.6143	+	23.2687i	−0.342576	+	0.750995i
$961$			11.5216i			0.371663i
$962$	−34.7454	−	13.1167i	−1.12024	−	0.422899i
$963$	−46.3635	+	46.3635i	−1.49404	+	1.49404i
$964$	19.6525	+	10.5259i	0.632966	+	0.339017i
$965$	5.51490	−	20.5819i	0.177531	−	0.662554i
$966$	73.8865	−	99.5363i	2.37726	−	3.20253i
$967$	41.8750	+	11.2204i	1.34661	+	0.360823i	0.858882	−	0.512173i	$-0.171159\pi$
$967$	41.8750	+	11.2204i	1.34661	+	0.360823i	0.487727	+	0.872996i	$0.337826\pi$
$968$	10.2411	−	28.5076i	0.329161	−	0.916268i
$969$	−61.5243	+	35.5211i	−1.97645	+	1.14110i
$970$	−0.0641623	+	0.162165i	−0.00206013	+	0.00520680i
$971$	−30.2402	+	8.10283i	−0.970454	+	0.260032i	−0.709019	−	0.705189i	$-0.750862\pi$
$971$	−30.2402	+	8.10283i	−0.970454	+	0.260032i	−0.261434	+	0.965221i	$0.584195\pi$
$972$	−44.4265	+	1.41668i	−1.42498	+	0.0454399i
$973$	8.27908	−	8.27908i	0.265415	−	0.265415i
$974$	−37.8229	+	29.9923i	−1.21193	+	0.961015i
$975$	−9.87823	+	36.8660i	−0.316356	+	1.18066i
$976$	15.4915	−	0.988994i	0.495870	−	0.0316569i
$977$	8.98736	−	2.40816i	0.287531	−	0.0770437i	−0.112171	−	0.993689i	$-0.535780\pi$
$977$	8.98736	−	2.40816i	0.287531	−	0.0770437i	0.399702	+	0.916645i	$0.369114\pi$
$978$	19.0320	+	24.0010i	0.608577	+	0.767469i
$979$	−5.68670	−	3.28322i	−0.181748	−	0.104932i
$980$	7.67534	−	32.7920i	0.245180	−	1.04750i
$981$	−17.9917	+	10.3875i	−0.574432	+	0.331648i
$982$	−27.0297	−	34.0868i	−0.862552	−	1.08775i
$983$	−4.66417	−	2.69286i	−0.148764	−	0.0858890i	0.423770	−	0.905770i	$-0.360706\pi$
$983$	−4.66417	−	2.69286i	−0.148764	−	0.0858890i	−0.572534	+	0.819881i	$0.694040\pi$
$984$	14.1068	+	1.17475i	0.449709	+	0.0374497i
$985$	−5.42622	−	5.42622i	−0.172894	−	0.172894i
$986$	21.5454	−	3.18663i	0.686146	−	0.101483i
$987$	−16.7630	−	62.5602i	−0.533571	−	1.99131i
$988$	−49.2974	−	46.2506i	−1.56836	−	1.47143i
$989$	−15.9374	+	15.9374i	−0.506781	+	0.506781i
$990$	2.66390	−	2.11238i	0.0846643	−	0.0671359i
$991$	3.54265	−	3.54265i	0.112536	−	0.112536i	−0.648596	−	0.761132i	$-0.724644\pi$
$991$	3.54265	−	3.54265i	0.112536	−	0.112536i	0.761132	+	0.648596i	$0.224644\pi$
$992$	−24.4146	+	5.21893i	−0.775165	+	0.165701i
$993$	41.2483	+	41.2483i	1.30898	+	1.30898i
$994$	5.34516	−	7.20073i	0.169538	−	0.228393i
$995$	−18.8820	−	5.05943i	−0.598601	−	0.160395i
$996$	18.2358	+	4.26828i	0.577822	+	0.135246i
$997$	−33.9926	−	19.6256i	−1.07656	−	0.621550i	−0.146591	−	0.989197i	$-0.546830\pi$
$997$	−33.9926	−	19.6256i	−1.07656	−	0.621550i	−0.929965	+	0.367647i	$0.880163\pi$
$998$	12.8296	+	29.6288i	0.406115	+	0.937884i
$999$	0.142686	+	9.03480i	0.00451439	+	0.285848i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	592.2.bl.a.51.5	yes	296
16.11	odd	4		592.2.bf.a.347.17	✓	296
37.8	odd	12		592.2.bf.a.563.17	yes	296
592.267	even	12	inner	592.2.bl.a.267.5	yes	296

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
592.2.bf.a.347.17	✓	296	16.11	odd	4
592.2.bf.a.563.17	yes	296	37.8	odd	12
592.2.bl.a.51.5	yes	296	1.1	even	1	trivial
592.2.bl.a.267.5	yes	296	592.267	even	12	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:	\( N \)	\(=\)	\( 592 = 2^{4} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	592.bl (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40488 - 0.162222i) q^{2} +(0.663867 - 2.47758i) q^{3} +(1.94737 + 0.455803i) q^{4} +(-1.07939 + 0.623185i) q^{5} +(-1.33457 + 3.37301i) q^{6} +(2.26443 + 3.92211i) q^{7} +(-2.66188 - 0.956254i) q^{8} +(-3.09963 - 1.78957i) q^{9} +(1.61750 - 0.700399i) q^{10} +(-0.381062 + 0.381062i) q^{11} +(2.42208 - 4.52218i) q^{12} +(2.15865 + 3.73889i) q^{13} +(-2.54500 - 5.87742i) q^{14} +(0.827423 + 3.08799i) q^{15} +(3.58449 + 1.77523i) q^{16} +(0.915677 + 3.41735i) q^{17} +(4.06430 + 3.01696i) q^{18} +(-6.77979 + 3.91431i) q^{19} +(-2.38601 + 0.721582i) q^{20} +(11.2206 - 3.00656i) q^{21} +(0.597162 - 0.473529i) q^{22} +(-5.33564 + 5.33564i) q^{23} +(-4.13633 + 5.96020i) q^{24} +(-1.72328 + 2.98481i) q^{25} +(-2.42611 - 5.60286i) q^{26} +(-1.05040 + 1.05040i) q^{27} +(2.62197 + 8.66992i) q^{28} +4.35304i q^{29} +(-0.661491 - 4.47247i) q^{30} +(3.12077 - 3.12077i) q^{31} +(-4.74779 - 3.07547i) q^{32} +(0.691138 + 1.19709i) q^{33} +(-0.732046 - 4.94951i) q^{34} +(-4.88839 - 2.82232i) q^{35} +(-5.22043 - 4.89778i) q^{36} +(4.23271 - 4.36855i) q^{37} +(10.1598 - 4.39931i) q^{38} +(10.6965 - 2.86611i) q^{39} +(3.46912 - 0.626672i) q^{40} +(-0.975596 - 1.68978i) q^{41} +(-16.2514 + 2.40362i) q^{42} +2.98698 q^{43} +(-0.915757 + 0.568378i) q^{44} +4.46094 q^{45} +(8.36148 - 6.63037i) q^{46} -5.57546i q^{47} +(6.77791 - 7.70235i) q^{48} +(-6.75528 + 11.7005i) q^{49} +(2.90520 - 3.91374i) q^{50} +9.07467 q^{51} +(2.49948 + 8.26491i) q^{52} +(-1.51841 - 5.66677i) q^{53} +(1.64609 - 1.30529i) q^{54} +(0.173841 - 0.648785i) q^{55} +(-2.27710 - 12.6055i) q^{56} +(5.19716 + 19.3961i) q^{57} +(0.706158 - 6.11550i) q^{58} +(6.04223 - 10.4654i) q^{59} +(0.203784 + 6.39059i) q^{60} +(3.36083 - 1.94038i) q^{61} +(-4.89056 + 3.87805i) q^{62} -16.2094i q^{63} +(6.17116 + 5.09086i) q^{64} +(-4.66004 - 2.69047i) q^{65} +(-0.776772 - 1.79388i) q^{66} +(2.81374 - 10.5010i) q^{67} +(0.225519 + 7.07221i) q^{68} +(9.67735 + 16.7617i) q^{69} +(6.40976 + 4.75801i) q^{70} +(0.700086 + 1.21258i) q^{71} +(6.53954 + 7.72765i) q^{72} -7.94508 q^{73} +(-6.65511 + 5.45064i) q^{74} +(6.25109 + 6.25109i) q^{75} +(-14.9869 + 4.53236i) q^{76} +(-2.35745 - 0.631677i) q^{77} +(-15.4922 + 2.29134i) q^{78} +(-1.78608 + 6.66575i) q^{79} +(-4.97535 + 0.317632i) q^{80} +(-3.46358 - 5.99910i) q^{81} +(1.09647 + 2.53220i) q^{82} +(0.944903 + 3.52643i) q^{83} +(23.2211 - 0.740477i) q^{84} +(-3.11801 - 3.11801i) q^{85} +(-4.19634 - 0.484552i) q^{86} +(10.7850 + 2.88984i) q^{87} +(1.37873 - 0.649947i) q^{88} +(3.15367 + 11.7696i) q^{89} +(-6.26707 - 0.723660i) q^{90} +(-9.77621 + 16.9329i) q^{91} +(-12.8225 + 7.95846i) q^{92} +(-5.66020 - 9.80376i) q^{93} +(-0.904460 + 7.83285i) q^{94} +(4.87868 - 8.45012i) q^{95} +(-10.7716 + 9.72134i) q^{96} +(-0.0699619 + 0.0699619i) q^{97} +(11.3884 - 15.3419i) q^{98} +(1.86309 - 0.499213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 296 q - 6 q^{3} - 12 q^{4} - 6 q^{5} - 4 q^{7} - 8 q^{10} + 8 q^{11} + 28 q^{12} - 2 q^{13} - 12 q^{14} - 12 q^{15} - 12 q^{16} - 8 q^{17} - 14 q^{18} - 6 q^{19} + 2 q^{20} - 6 q^{21} - 30 q^{22} + 30 q^{24}+ \cdots - 48 q^{99}+O(q^{100}) \) 296 * q - 6 * q^3 - 12 * q^4 - 6 * q^5 - 4 * q^7 - 8 * q^10 + 8 * q^11 + 28 * q^12 - 2 * q^13 - 12 * q^14 - 12 * q^15 - 12 * q^16 - 8 * q^17 - 14 * q^18 - 6 * q^19 + 2 * q^20 - 6 * q^21 - 30 * q^22 + 30 * q^24 + 132 * q^25 - 8 * q^26 - 32 * q^28 - 70 * q^30 - 10 * q^32 - 4 * q^33 - 18 * q^34 - 6 * q^35 - 32 * q^36 - 20 * q^37 + 20 * q^38 - 8 * q^39 + 4 * q^40 + 10 * q^42 - 24 * q^43 + 40 * q^44 - 16 * q^45 - 32 * q^46 + 28 * q^48 - 128 * q^49 + 32 * q^50 + 60 * q^51 + 14 * q^52 - 26 * q^53 + 50 * q^54 - 8 * q^55 - 74 * q^56 - 12 * q^57 + 12 * q^58 - 2 * q^59 - 68 * q^60 - 6 * q^61 - 34 * q^62 - 24 * q^64 - 36 * q^65 - 116 * q^66 - 6 * q^67 - 28 * q^68 + 4 * q^69 + 14 * q^70 - 4 * q^71 - 86 * q^72 + 32 * q^73 + 40 * q^74 + 4 * q^75 + 14 * q^76 + 12 * q^77 - 18 * q^78 + 40 * q^79 - 12 * q^80 + 112 * q^81 + 84 * q^82 + 58 * q^83 + 132 * q^84 - 20 * q^85 - 46 * q^86 + 104 * q^87 - 56 * q^88 + 16 * q^89 + 4 * q^90 + 26 * q^91 - 76 * q^92 - 8 * q^93 + 86 * q^94 - 40 * q^95 - 144 * q^96 - 8 * q^97 + 26 * q^98 - 48 * q^99

Introduction

L-functions

Modular forms

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Database

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