LMFDB - Embedded newform 370.2.bd.a.13.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [370,2,Mod(13,370)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(370, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([27, 11])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("370.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$370 = 2 \cdot 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	370.bd (of order $36$ , degree $12$ , minimal)

Newform invariants

comment:select newform

sage:traces = [108] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$9$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			13.2
Character	$\chi$	$=$	370.13
Dual form			370.2.bd.a.57.2

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 - 0.173648i) q^{2} +(-2.05692 - 1.44027i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-0.583057 - 2.15871i) q^{5} +(1.77557 + 1.77557i) q^{6} +(0.140016 - 1.60039i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(1.13048 + 3.10597i) q^{9} +(0.199343 + 2.22716i) q^{10} +(-3.06846 - 1.77158i) q^{11} +(-1.44027 - 2.05692i) q^{12} +(1.63969 - 4.50501i) q^{13} +(-0.415794 + 1.55176i) q^{14} +(-1.90983 + 5.28006i) q^{15} +(0.766044 + 0.642788i) q^{16} +(0.720486 - 0.262235i) q^{17} +(-0.573960 - 3.25509i) q^{18} +(4.90656 + 3.43561i) q^{19} +(0.190429 - 2.22794i) q^{20} +(-2.59300 + 3.09021i) q^{21} +(2.71421 + 2.27750i) q^{22} +(-6.67031 + 3.85110i) q^{23} +(1.06121 + 2.27577i) q^{24} +(-4.32009 + 2.51731i) q^{25} +(-2.39706 + 4.15184i) q^{26} +(0.198417 - 0.740501i) q^{27} +(0.678938 - 1.45599i) q^{28} +(0.0899791 - 0.0241098i) q^{29} +(2.79769 - 4.86821i) q^{30} +(-6.67231 + 6.67231i) q^{31} +(-0.642788 - 0.766044i) q^{32} +(3.76003 + 8.06341i) q^{33} +(-0.755077 + 0.133140i) q^{34} +(-3.53642 + 0.630865i) q^{35} +3.30530i q^{36} +(-1.84434 - 5.79641i) q^{37} +(-4.23543 - 4.23543i) q^{38} +(-9.86114 + 6.90484i) q^{39} +(-0.574414 + 2.16103i) q^{40} +(0.750031 - 2.06069i) q^{41} +(3.09021 - 2.59300i) q^{42} -6.81877i q^{43} +(-2.27750 - 2.71421i) q^{44} +(6.04576 - 4.25134i) q^{45} +(7.23771 - 2.63431i) q^{46} +(3.12508 + 0.837362i) q^{47} +(-0.649904 - 2.42547i) q^{48} +(4.35201 + 0.767377i) q^{49} +(4.69158 - 1.72889i) q^{50} +(-1.85967 - 0.498297i) q^{51} +(3.08161 - 3.67252i) q^{52} +(0.787177 + 8.99748i) q^{53} +(-0.323989 + 0.694796i) q^{54} +(-2.03524 + 7.65686i) q^{55} +(-0.921452 + 1.31597i) q^{56} +(-5.14419 - 14.1335i) q^{57} +(-0.0927988 + 0.00811884i) q^{58} +(-1.33279 + 0.116604i) q^{59} +(-3.60054 + 4.30844i) q^{60} +(0.635806 - 0.296481i) q^{61} +(7.72958 - 5.41231i) q^{62} +(5.12904 - 1.37432i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-10.6811 - 0.912940i) q^{65} +(-2.30271 - 8.59383i) q^{66} +(9.47199 + 0.828692i) q^{67} +0.766725 q^{68} +(19.2669 + 1.68564i) q^{69} +(3.59224 - 0.00718752i) q^{70} +(-1.49715 - 8.49078i) q^{71} +(0.573960 - 3.25509i) q^{72} +(-4.69493 + 4.69493i) q^{73} +(0.809786 + 6.02862i) q^{74} +(12.5117 + 1.04420i) q^{75} +(3.43561 + 4.90656i) q^{76} +(-3.26485 + 4.66269i) q^{77} +(10.9103 - 5.08758i) q^{78} +(1.30246 - 14.8872i) q^{79} +(0.940946 - 2.02845i) q^{80} +(6.12137 - 5.13644i) q^{81} +(-1.09647 + 1.89914i) q^{82} +(-14.3691 - 6.70041i) q^{83} +(-3.49354 + 2.01699i) q^{84} +(-0.986175 - 1.40242i) q^{85} +(-1.18407 + 6.71518i) q^{86} +(-0.219805 - 0.0800023i) q^{87} +(1.77158 + 3.06846i) q^{88} +(-1.27013 - 14.5176i) q^{89} +(-6.69215 + 3.13692i) q^{90} +(-6.98019 - 3.25491i) q^{91} +(-7.58519 + 1.33747i) q^{92} +(23.3343 - 4.11447i) q^{93} +(-2.93219 - 1.36730i) q^{94} +(4.55569 - 12.5950i) q^{95} +(0.218851 + 2.50148i) q^{96} +(1.16417 + 2.01640i) q^{97} +(-4.15264 - 1.51144i) q^{98} +(2.03363 - 11.5333i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$108 q + 6 q^{3} + 6 q^{10} + 36 q^{11} - 6 q^{12} - 12 q^{14} - 12 q^{17} - 12 q^{19} - 42 q^{21} - 36 q^{23} + 6 q^{24} - 6 q^{25} - 6 q^{26} - 6 q^{27} - 24 q^{30} + 6 q^{33} - 66 q^{35} + 48 q^{38} - 12 q^{40}+ \cdots + 42 q^{99}+O(q^{100})$ 108 * q + 6 * q^3 + 6 * q^10 + 36 * q^11 - 6 * q^12 - 12 * q^14 - 12 * q^17 - 12 * q^19 - 42 * q^21 - 36 * q^23 + 6 * q^24 - 6 * q^25 - 6 * q^26 - 6 * q^27 - 24 * q^30 + 6 * q^33 - 66 * q^35 + 48 * q^38 - 12 * q^40 + 48 * q^41 + 66 * q^42 - 6 * q^44 - 162 * q^45 + 6 * q^46 + 24 * q^47 + 12 * q^49 + 36 * q^50 - 12 * q^51 + 12 * q^53 + 18 * q^54 + 48 * q^57 + 6 * q^58 - 24 * q^59 - 36 * q^61 - 30 * q^62 + 102 * q^63 + 54 * q^64 + 54 * q^65 - 54 * q^67 + 96 * q^69 - 36 * q^70 - 48 * q^71 - 84 * q^73 - 42 * q^74 + 252 * q^75 - 6 * q^76 + 36 * q^77 - 36 * q^78 - 66 * q^79 - 6 * q^80 - 108 * q^81 + 6 * q^82 - 60 * q^83 - 18 * q^85 - 168 * q^87 + 12 * q^88 + 66 * q^89 + 12 * q^90 - 18 * q^91 - 18 * q^92 - 18 * q^94 - 18 * q^95 + 12 * q^96 - 36 * q^97 - 60 * q^98 + 42 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$ .

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{11}{36}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$ -expansion $a_n$ , the Satake parameters $\alpha_p$ , and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$ .

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$2$	−0.984808	−	0.173648i	−0.696364	−	0.122788i
$3$	−2.05692	−	1.44027i	−1.18756	−	0.831541i	−0.198655	−	0.980069i	$-0.563657\pi$
$3$	−2.05692	−	1.44027i	−1.18756	−	0.831541i	−0.988908	+	0.148529i	$0.952546\pi$
$4$	0.939693	+	0.342020i	0.469846	+	0.171010i
$5$	−0.583057	−	2.15871i	−0.260751	−	0.965406i
$5$	−0.583057	−	2.15871i	−0.260751	−	0.965406i
$6$	1.77557	+	1.77557i	0.724874	+	0.724874i
$7$	0.140016	−	1.60039i	0.0529211	−	0.604891i	−0.922713	−	0.385487i	$-0.874033\pi$
$7$	0.140016	−	1.60039i	0.0529211	−	0.604891i	0.975634	−	0.219403i	$-0.0704111\pi$
$8$	−0.866025	−	0.500000i	−0.306186	−	0.176777i
$9$	1.13048	+	3.10597i	0.376827	+	1.03532i
$10$	0.199343	+	2.22716i	0.0630377	+	0.704291i
$11$	−3.06846	−	1.77158i	−0.925176	−	0.534151i	−0.0398936	−	0.999204i	$-0.512702\pi$
$11$	−3.06846	−	1.77158i	−0.925176	−	0.534151i	−0.885283	+	0.465053i	$0.846035\pi$
$12$	−1.44027	−	2.05692i	−0.415770	−	0.593782i
$13$	1.63969	−	4.50501i	0.454768	−	1.24946i	−0.474565	−	0.880221i	$-0.657395\pi$
$13$	1.63969	−	4.50501i	0.454768	−	1.24946i	0.929333	−	0.369244i	$-0.120383\pi$
$14$	−0.415794	+	1.55176i	−0.111126	+	0.414726i
$15$	−1.90983	+	5.28006i	−0.493116	+	1.36331i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	0.720486	−	0.262235i	0.174743	−	0.0636014i	−0.253167	−	0.967423i	$-0.581472\pi$
$17$	0.720486	−	0.262235i	0.174743	−	0.0636014i	0.427910	+	0.903821i	$0.359250\pi$
$18$	−0.573960	−	3.25509i	−0.135284	−	0.767231i
$19$	4.90656	+	3.43561i	1.12564	+	0.788183i	0.979572	−	0.201092i	$-0.0644489\pi$
$19$	4.90656	+	3.43561i	1.12564	+	0.788183i	0.146069	+	0.989274i	$0.453338\pi$
$20$	0.190429	−	2.22794i	0.0425812	−	0.498184i
$21$	−2.59300	+	3.09021i	−0.565838	+	0.674340i
$22$	2.71421	+	2.27750i	0.578673	+	0.485564i
$23$	−6.67031	+	3.85110i	−1.39086	+	0.803011i	−0.993410	−	0.114615i	$-0.963437\pi$
$23$	−6.67031	+	3.85110i	−1.39086	+	0.803011i	−0.397445	+	0.917626i	$0.630103\pi$
$24$	1.06121	+	2.27577i	0.216619	+	0.464540i
$25$	−4.32009	+	2.51731i	−0.864018	+	0.503462i
$26$	−2.39706	+	4.15184i	−0.470103	+	0.814242i
$27$	0.198417	−	0.740501i	0.0381853	−	0.142509i
$28$	0.678938	−	1.45599i	0.128307	−	0.275156i
$29$	0.0899791	−	0.0241098i	0.0167087	−	0.00447708i	−0.250455	−	0.968128i	$-0.580580\pi$
$29$	0.0899791	−	0.0241098i	0.0167087	−	0.00447708i	0.267164	+	0.963651i	$0.413914\pi$
$30$	2.79769	−	4.86821i	0.510786	−	0.888809i
$31$	−6.67231	+	6.67231i	−1.19838	+	1.19838i	−0.223731	+	0.974651i	$0.571824\pi$
$31$	−6.67231	+	6.67231i	−1.19838	+	1.19838i	−0.974651	+	0.223731i	$0.928176\pi$
$32$	−0.642788	−	0.766044i	−0.113630	−	0.135419i
$33$	3.76003	+	8.06341i	0.654537	+	1.40366i
$34$	−0.755077	+	0.133140i	−0.129495	+	0.0228334i
$35$	−3.53642	+	0.630865i	−0.597764	+	0.106636i
$36$			3.30530i			0.550884i
$37$	−1.84434	−	5.79641i	−0.303208	−	0.952924i
$37$	−1.84434	−	5.79641i	−0.303208	−	0.952924i
$38$	−4.23543	−	4.23543i	−0.687077	−	0.687077i
$39$	−9.86114	+	6.90484i	−1.57905	+	1.10566i
$40$	−0.574414	+	2.16103i	−0.0908229	+	0.341689i
$41$	0.750031	−	2.06069i	0.117135	−	0.321826i	−0.867245	−	0.497881i	$-0.834111\pi$
$41$	0.750031	−	2.06069i	0.117135	−	0.321826i	0.984380	+	0.176055i	$0.0563337\pi$
$42$	3.09021	−	2.59300i	0.476830	−	0.400108i
$43$		−	6.81877i		−	1.03985i	−0.854211	−	0.519926i	$-0.825959\pi$
$43$		−	6.81877i		−	1.03985i	0.854211	−	0.519926i	$-0.174041\pi$
$44$	−2.27750	−	2.71421i	−0.343346	−	0.409183i
$45$	6.04576	−	4.25134i	0.901249	−	0.633752i
$46$	7.23771	−	2.63431i	1.06714	−	0.388408i
$47$	3.12508	+	0.837362i	0.455839	+	0.122142i	0.479430	−	0.877580i	$-0.340843\pi$
$47$	3.12508	+	0.837362i	0.455839	+	0.122142i	−0.0235911	+	0.999722i	$0.507510\pi$
$48$	−0.649904	−	2.42547i	−0.0938056	−	0.350087i
$49$	4.35201	+	0.767377i	0.621716	+	0.109625i
$50$	4.69158	−	1.72889i	0.663490	−	0.244502i
$51$	−1.85967	−	0.498297i	−0.260406	−	0.0697756i
$52$	3.08161	−	3.67252i	0.427342	−	0.509286i
$53$	0.787177	+	8.99748i	0.108127	+	1.23590i	0.835436	+	0.549588i	$0.185215\pi$
$53$	0.787177	+	8.99748i	0.108127	+	1.23590i	−0.727309	+	0.686311i	$0.759229\pi$
$54$	−0.323989	+	0.694796i	−0.0440893	+	0.0945498i
$55$	−2.03524	+	7.65686i	−0.274432	+	1.03245i
$56$	−0.921452	+	1.31597i	−0.123134	+	0.175854i
$57$	−5.14419	−	14.1335i	−0.681365	−	1.87203i
$58$	−0.0927988	+	0.00811884i	−0.0121851	+	0.00106606i
$59$	−1.33279	+	0.116604i	−0.173514	+	0.0151805i	−0.173582	−	0.984819i	$-0.555534\pi$
$59$	−1.33279	+	0.116604i	−0.173514	+	0.0151805i	6.73760e−5		1.00000i	$0.499979\pi$
$60$	−3.60054	+	4.30844i	−0.464828	+	0.556217i
$61$	0.635806	−	0.296481i	0.0814066	−	0.0379605i	−0.381489	−	0.924374i	$-0.624588\pi$
$61$	0.635806	−	0.296481i	0.0814066	−	0.0379605i	0.462895	+	0.886413i	$0.346811\pi$
$62$	7.72958	−	5.41231i	0.981657	−	0.687364i
$63$	5.12904	−	1.37432i	0.646199	−	0.173148i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	−10.6811	−	0.912940i	−1.32482	−	0.113236i
$66$	−2.30271	−	8.59383i	−0.283444	−	1.05783i
$67$	9.47199	+	0.828692i	1.15719	+	0.101241i	0.649543	−	0.760325i	$-0.274960\pi$
$67$	9.47199	+	0.828692i	1.15719	+	0.101241i	0.507645	+	0.861566i	$0.330516\pi$
$68$	0.766725			0.0929790
$69$	19.2669	+	1.68564i	2.31947	+	0.202927i
$70$	3.59224	−	0.00718752i	0.429355	−	0.000859073i
$71$	−1.49715	−	8.49078i	−0.177680	−	1.00767i	−0.935005	−	0.354634i	$-0.884606\pi$
$71$	−1.49715	−	8.49078i	−0.177680	−	1.00767i	0.757326	−	0.653037i	$-0.226505\pi$
$72$	0.573960	−	3.25509i	0.0676418	−	0.383616i
$73$	−4.69493	+	4.69493i	−0.549500	+	0.549500i	−0.926296	−	0.376796i	$-0.877026\pi$
$73$	−4.69493	+	4.69493i	−0.549500	+	0.549500i	0.376796	+	0.926296i	$0.377026\pi$
$74$	0.809786	+	6.02862i	0.0941358	+	0.700813i
$75$	12.5117	+	1.04420i	1.44472	+	0.120573i
$76$	3.43561	+	4.90656i	0.394091	+	0.562821i
$77$	−3.26485	+	4.66269i	−0.372064	+	0.531363i
$78$	10.9103	−	5.08758i	1.23535	−	0.576054i
$79$	1.30246	−	14.8872i	0.146538	−	1.67494i	−0.466220	−	0.884669i	$-0.654384\pi$
$79$	1.30246	−	14.8872i	0.146538	−	1.67494i	0.612758	−	0.790270i	$-0.290060\pi$
$80$	0.940946	−	2.02845i	0.105201	−	0.226788i
$81$	6.12137	−	5.13644i	0.680153	−	0.570716i
$82$	−1.09647	+	1.89914i	−0.121085	+	0.209725i
$83$	−14.3691	−	6.70041i	−1.57721	−	0.735466i	−0.580331	−	0.814381i	$-0.697077\pi$
$83$	−14.3691	−	6.70041i	−1.57721	−	0.735466i	−0.996881	+	0.0789149i	$0.974854\pi$
$84$	−3.49354	+	2.01699i	−0.381176	+	0.220072i
$85$	−0.986175	−	1.40242i	−0.106966	−	0.152114i
$86$	−1.18407	+	6.71518i	−0.127681	+	0.724116i
$87$	−0.219805	−	0.0800023i	−0.0235655	−	0.00857715i
$88$	1.77158	+	3.06846i	0.188851	+	0.327099i
$89$	−1.27013	−	14.5176i	−0.134633	−	1.53886i	−0.700071	−	0.714073i	$-0.746848\pi$
$89$	−1.27013	−	14.5176i	−0.134633	−	1.53886i	0.565438	−	0.824791i	$-0.308707\pi$
$90$	−6.69215	+	3.13692i	−0.705414	+	0.330660i
$91$	−6.98019	−	3.25491i	−0.731722	−	0.341208i
$92$	−7.58519	+	1.33747i	−0.790811	+	0.139441i
$93$	23.3343	−	4.11447i	2.41966	−	0.426651i
$94$	−2.93219	−	1.36730i	−0.302433	−	0.141027i
$95$	4.55569	−	12.5950i	0.467404	−	1.29222i
$96$	0.218851	+	2.50148i	0.0223364	+	0.255306i
$97$	1.16417	+	2.01640i	0.118203	+	0.204734i	0.919056	−	0.394127i	$-0.128953\pi$
$97$	1.16417	+	2.01640i	0.118203	+	0.204734i	−0.800852	+	0.598862i	$0.795620\pi$
$98$	−4.15264	−	1.51144i	−0.419480	−	0.152678i
$99$	2.03363	−	11.5333i	0.204387	−	1.15914i
$100$	−4.92052	+	0.887938i	−0.492052	+	0.0887938i
$101$	−1.46415	+	0.845327i	−0.145688	+	0.0841132i	−0.571072	−	0.820900i	$-0.693472\pi$
$101$	−1.46415	+	0.845327i	−0.145688	+	0.0841132i	0.425384	+	0.905013i	$0.360139\pi$
$102$	1.74489	+	0.813656i	0.172770	+	0.0805639i
$103$	−5.23293	+	9.06370i	−0.515616	+	0.893073i	0.484220	+	0.874946i	$0.339103\pi$
$103$	−5.23293	+	9.06370i	−0.515616	+	0.893073i	−0.999836	+	0.0181263i	$0.994230\pi$
$104$	−3.67252	+	3.08161i	−0.360120	+	0.302176i
$105$	8.18275	+	3.79577i	0.798555	+	0.370429i
$106$	0.787177	−	8.99748i	0.0764574	−	0.873912i
$107$	−3.83193	+	1.78686i	−0.370447	+	0.172742i	−0.598922	−	0.800808i	$-0.704404\pi$
$107$	−3.83193	+	1.78686i	−0.370447	+	0.172742i	0.228475	+	0.973550i	$0.426626\pi$
$108$	0.439717	−	0.627981i	0.0423118	−	0.0604275i
$109$	4.61706	+	6.59384i	0.442234	+	0.631575i	0.976953	−	0.213455i	$-0.0684715\pi$
$109$	4.61706	+	6.59384i	0.442234	+	0.631575i	−0.534719	+	0.845030i	$0.679583\pi$
$110$	3.33392	−	7.18712i	0.317877	−	0.685265i
$111$	−4.55474	+	14.5791i	−0.432317	+	1.38379i
$112$	1.13597	−	1.13597i	0.107339	−	0.107339i
$113$	−0.0281287	+	0.159526i	−0.00264612	+	0.0150069i	−0.986102	−	0.166140i	$-0.946870\pi$
$113$	−0.0281287	+	0.159526i	−0.00264612	+	0.0150069i	0.983456	+	0.181147i	$0.0579808\pi$
$114$	2.61177	+	14.8121i	0.244615	+	1.38728i
$115$	12.2026	+	12.1539i	1.13790	+	1.13335i
$116$	0.0927988	+	0.00811884i	0.00861615	+	0.000753815i
$117$	15.8460			1.46497
$118$	1.33279	+	0.116604i	0.122693	+	0.0107343i
$119$	−0.318799	−	1.18978i	−0.0292243	−	0.109067i
$120$	4.29399	−	3.61775i	0.391986	−	0.330254i
$121$	0.776977	+	1.34576i	0.0706343	+	0.122342i
$122$	−0.677630	+	0.181570i	−0.0613497	+	0.0164386i
$123$	−4.51071	+	3.15843i	−0.406717	+	0.284786i
$124$	−8.55198	+	3.98786i	−0.767991	+	0.358120i
$125$	7.95301	+	7.85810i	0.711338	+	0.702850i
$126$	−5.28977	+	0.462795i	−0.471250	+	0.0412291i
$127$	−8.31404	+	0.727384i	−0.737752	+	0.0645449i	−0.449837	−	0.893111i	$-0.648518\pi$
$127$	−8.31404	+	0.727384i	−0.737752	+	0.0645449i	−0.287915	+	0.957656i	$0.592962\pi$
$128$	−0.342020	−	0.939693i	−0.0302306	−	0.0830579i
$129$	−9.82088	+	14.0257i	−0.864680	+	1.23489i
$130$	10.3603	+	2.75382i	0.908654	+	0.241526i
$131$	3.63507	−	7.79543i	0.317597	−	0.681090i	−0.681096	−	0.732194i	$-0.738496\pi$
$131$	3.63507	−	7.79543i	0.317597	−	0.681090i	0.998693	+	0.0511044i	$0.0162741\pi$
$132$	0.775424	+	8.86314i	0.0674920	+	0.771437i
$133$	6.18531	−	7.37136i	0.536334	−	0.639178i
$134$	−9.18419	−	2.46090i	−0.793393	−	0.212589i
$135$	−1.71422	+	0.00342988i	−0.147536	+	0.000295197i
$136$	−0.755077	−	0.133140i	−0.0647473	−	0.0114167i
$137$	−3.05717	−	11.4095i	−0.261192	−	0.974781i	−0.964540	−	0.263936i	$-0.914979\pi$
$137$	−3.05717	−	11.4095i	−0.261192	−	0.974781i	0.703349	−	0.710845i	$-0.251687\pi$
$138$	−18.6815	−	5.00570i	−1.59028	−	0.426113i
$139$	4.29233	−	1.56228i	0.364070	−	0.132511i	−0.153506	−	0.988148i	$-0.549056\pi$
$139$	4.29233	−	1.56228i	0.364070	−	0.132511i	0.517577	+	0.855637i	$0.326834\pi$
$140$	−3.53892	−	0.616708i	−0.299093	−	0.0521214i
$141$	−5.22200	−	6.22334i	−0.439772	−	0.524100i
$142$			8.62177i			0.723523i
$143$	−13.0123	+	10.9186i	−1.08814	+	0.913060i
$144$	−1.13048	+	3.10597i	−0.0942066	+	0.258831i
$145$	−0.104509	−	0.180182i	−0.00867902	−	0.0149633i
$146$	5.43887	−	3.80834i	0.450124	−	0.315180i
$147$	−7.84651	−	7.84651i	−0.647169	−	0.647169i
$148$	0.249375	−	6.07765i	0.0204985	−	0.499580i
$149$		−	11.0431i		−	0.904687i	−0.891844	−	0.452344i	$-0.850588\pi$
$149$		−	11.0431i		−	0.904687i	0.891844	−	0.452344i	$-0.149412\pi$
$150$	−12.1403	−	3.20096i	−0.991250	−	0.261358i
$151$	−22.2433	+	3.92209i	−1.81013	+	0.319175i	−0.973517	−	0.228614i	$-0.926581\pi$
$151$	−22.2433	+	3.92209i	−1.81013	+	0.319175i	−0.836616	+	0.547789i	$0.815470\pi$
$152$	−2.53140	−	5.42860i	−0.205324	−	0.440318i
$153$	1.62899	+	1.94135i	0.131696	+	0.156949i
$154$	4.02492	−	4.02492i	0.324337	−	0.324337i
$155$	18.2939	+	10.5133i	1.46940	+	0.844446i
$156$	−11.6280	+	3.11572i	−0.930988	+	0.249457i
$157$	−0.973262	+	2.08717i	−0.0776748	+	0.166574i	−0.941310	−	0.337543i	$-0.890404\pi$
$157$	−0.973262	+	2.08717i	−0.0776748	+	0.166574i	0.863635	+	0.504117i	$0.168182\pi$
$158$	−3.86781	+	14.4348i	−0.307706	+	1.14837i
$159$	11.3396	−	19.6408i	0.899293	−	1.55762i
$160$	−1.27889	+	1.83424i	−0.101105	+	0.145010i
$161$	5.22932	+	11.2143i	0.412128	+	0.883812i
$162$	−6.92031	+	3.99544i	−0.543711	+	0.313912i
$163$	−2.62586	−	2.20336i	−0.205673	−	0.172580i	0.534133	−	0.845401i	$-0.320638\pi$
$163$	−2.62586	−	2.20336i	−0.205673	−	0.172580i	−0.739806	+	0.672820i	$0.765083\pi$
$164$	1.40960	−	1.67989i	0.110071	−	0.131178i
$165$	15.2143	−	12.8183i	1.18443	−	0.997900i
$166$	12.9873	+	9.09379i	1.00801	+	0.705815i
$167$	1.00667	+	5.70910i	0.0778984	+	0.441784i	0.998664	+	0.0516681i	$0.0164538\pi$
$167$	1.00667	+	5.70910i	0.0778984	+	0.441784i	−0.920766	+	0.390115i	$0.872435\pi$
$168$	3.79071	−	1.37970i	0.292459	−	0.106447i
$169$	−7.64793	−	6.41738i	−0.588302	−	0.493644i
$170$	0.727665	+	1.55237i	0.0558093	+	0.119061i
$171$	−5.12412	+	19.1235i	−0.391852	+	1.46241i
$172$	2.33216	−	6.40755i	0.177825	−	0.488571i
$173$	−9.79077	−	13.9827i	−0.744378	−	1.06308i	−0.995466	−	0.0951178i	$-0.969677\pi$
$173$	−9.79077	−	13.9827i	−0.744378	−	1.06308i	0.251088	−	0.967964i	$-0.419212\pi$
$174$	0.202573	+	0.116956i	0.0153570	+	0.00886638i
$175$	3.42379	+	7.26629i	0.258814	+	0.549280i
$176$	−1.21183	−	3.32948i	−0.0913452	−	0.250969i
$177$	2.90938	+	1.67973i	0.218683	+	0.126256i
$178$	−1.27013	+	14.5176i	−0.0952000	+	1.08814i
$179$	−3.19615	−	3.19615i	−0.238891	−	0.238891i	0.577500	−	0.816391i	$-0.304029\pi$
$179$	−3.19615	−	3.19615i	−0.238891	−	0.238891i	−0.816391	+	0.577500i	$0.804029\pi$
$180$	7.13520	−	1.92718i	0.531826	−	0.143644i
$181$	−6.09554	−	2.21860i	−0.453078	−	0.164907i	0.105394	−	0.994431i	$-0.466390\pi$
$181$	−6.09554	−	2.21860i	−0.453078	−	0.164907i	−0.558471	+	0.829524i	$0.688612\pi$
$182$	6.30893	+	4.41756i	0.467649	+	0.327451i
$183$	−1.73481	−	0.305895i	−0.128241	−	0.0226124i
$184$	7.70221			0.567814
$185$	−11.4374	+	7.36105i	−0.840897	+	0.541195i
$186$	−23.6943			−1.73735
$187$	−2.67535	−	0.471737i	−0.195641	−	0.0344968i
$188$	2.65022	+	1.85570i	0.193287	+	0.135341i
$189$	−1.15731	−	0.421226i	−0.0841818	−	0.0306397i
$190$	−6.67358	+	11.6126i	−0.484152	+	0.842465i
$191$	8.71055	+	8.71055i	0.630273	+	0.630273i	0.948136	−	0.317863i	$-0.102965\pi$
$191$	8.71055	+	8.71055i	0.630273	+	0.630273i	−0.317863	+	0.948136i	$0.602965\pi$
$192$	0.218851	−	2.50148i	0.0157942	−	0.180529i
$193$	4.27118	+	2.46596i	0.307446	+	0.177504i	0.645783	−	0.763521i	$-0.276531\pi$
$193$	4.27118	+	2.46596i	0.307446	+	0.177504i	−0.338337	+	0.941025i	$0.609864\pi$
$194$	−0.796339	−	2.18792i	−0.0571738	−	0.157084i
$195$	20.6552	+	17.2615i	1.47915	+	1.23612i
$196$	3.82709	+	2.20957i	0.273364	+	0.157827i
$197$	6.23669	+	8.90692i	0.444346	+	0.634592i	0.977377	−	0.211504i	$-0.0678361\pi$
$197$	6.23669	+	8.90692i	0.444346	+	0.634592i	−0.533031	+	0.846096i	$0.678947\pi$
$198$	−4.00547	+	11.0049i	−0.284656	+	0.782086i
$199$	−4.74610	+	17.7127i	−0.336442	+	1.25562i	0.565856	+	0.824504i	$0.308546\pi$
$199$	−4.74610	+	17.7127i	−0.336442	+	1.25562i	−0.902298	+	0.431114i	$0.858121\pi$
$200$	4.99996	−	0.0200084i	0.353551	−	0.00141481i
$201$	−18.2896	−	15.3468i	−1.29005	−	1.08248i
$202$	1.58869	−	0.578238i	0.111780	−	0.0406847i
$203$	−0.0259866	−	0.147377i	−0.00182390	−	0.0103439i
$204$	−1.57709	−	1.10429i	−0.110419	−	0.0773159i
$205$	−4.88576	−	0.417600i	−0.341236	−	0.0291664i
$206$	6.72732	−	8.01731i	0.468715	−	0.558592i
$207$	−19.5021	−	16.3642i	−1.35549	−	1.13739i
$208$	4.15184	−	2.39706i	0.287878	−	0.166206i
$209$	−8.96914	−	19.2344i	−0.620408	−	1.33047i
$210$	−7.39931	−	5.15902i	−0.510601	−	0.356006i
$211$	9.93824	−	17.2135i	0.684177	−	1.18503i	−0.289518	−	0.957173i	$-0.593495\pi$
$211$	9.93824	−	17.2135i	0.684177	−	1.18503i	0.973695	−	0.227857i	$-0.0731717\pi$
$212$	−2.33761	+	8.72410i	−0.160548	+	0.599173i
$213$	−9.14950	+	19.6212i	−0.626914	+	1.34442i
$214$	4.08400	−	1.09430i	0.279177	−	0.0748051i
$215$	−14.7198	+	3.97573i	−1.00388	+	0.271143i
$216$	−0.542084	+	0.542084i	−0.0368842	+	0.0368842i
$217$	9.74407	+	11.6125i	0.661470	+	0.788310i
$218$	−3.40190	−	7.29541i	−0.230406	−	0.494107i
$219$	16.4191	−	2.89512i	1.10950	−	0.195634i
$220$	−4.53130	+	6.49901i	−0.305500	+	0.438163i
$221$		−	3.67578i		−	0.247260i
$222$	7.01718	−	13.5667i	0.470962	−	0.910537i
$223$	−7.68835	−	7.68835i	−0.514850	−	0.514850i	0.401158	−	0.916009i	$-0.368608\pi$
$223$	−7.68835	−	7.68835i	−0.514850	−	0.514850i	−0.916009	+	0.401158i	$0.868608\pi$
$224$	−1.31597	+	0.921452i	−0.0879270	+	0.0615671i
$225$	−12.7024	−	10.5723i	−0.846830	−	0.704819i
$226$	0.0554026	−	0.152217i	0.00368533	−	0.0101254i
$227$	12.2209	−	10.2546i	0.811132	−	0.680621i	−0.139746	−	0.990187i	$-0.544629\pi$
$227$	12.2209	−	10.2546i	0.811132	−	0.680621i	0.950878	+	0.309567i	$0.100184\pi$
$228$		−	15.0406i		−	0.996088i
$229$	−2.41996	−	2.88399i	−0.159915	−	0.190580i	0.680137	−	0.733085i	$-0.261920\pi$
$229$	−2.41996	−	2.88399i	−0.159915	−	0.190580i	−0.840052	+	0.542505i	$0.817476\pi$
$230$	−9.90672	−	14.0882i	−0.653230	−	0.928947i
$231$	13.4311	−	4.88851i	0.883700	−	0.321640i
$232$	−0.0899791	−	0.0241098i	−0.00590742	−	0.00158289i
$233$	−0.717694	−	2.67847i	−0.0470177	−	0.175472i	0.938424	−	0.345485i	$-0.112286\pi$
$233$	−0.717694	−	2.67847i	−0.0470177	−	0.175472i	−0.985442	+	0.170013i	$0.945619\pi$
$234$	−15.6053	−	2.75164i	−1.02015	−	0.179880i
$235$	−0.0144749	−	7.23437i	−0.000944236	−	0.471919i
$236$	−1.29229	−	0.346269i	−0.0841212	−	0.0225402i
$237$	−24.1206	+	28.7459i	−1.56680	+	1.86724i
$238$	0.107354	+	1.22706i	0.00695871	+	0.0795384i
$239$	−2.27348	+	4.87549i	−0.147059	+	0.315369i	−0.966014	−	0.258488i	$-0.916776\pi$
$239$	−2.27348	+	4.87549i	−0.147059	+	0.315369i	0.818955	+	0.573857i	$0.194554\pi$
$240$	−4.85697	+	2.81715i	−0.313516	+	0.181846i
$241$	5.34121	−	7.62803i	0.344057	−	0.491365i	−0.609412	−	0.792853i	$-0.708595\pi$
$241$	5.34121	−	7.62803i	0.344057	−	0.491365i	0.953470	+	0.301489i	$0.0974835\pi$
$242$	−0.531484	−	1.46024i	−0.0341651	−	0.0938677i
$243$	−22.2802	+	1.94926i	−1.42927	+	0.125045i
$244$	0.698864	−	0.0611427i	0.0447402	−	0.00391426i
$245$	−0.880925	−	9.84217i	−0.0562802	−	0.628793i
$246$	4.99064	−	2.32717i	0.318191	−	0.148375i
$247$	23.5227	−	16.4707i	1.49671	−	1.04801i
$248$	9.11454	−	2.44223i	0.578774	−	0.155082i
$249$	19.9056	+	34.4776i	1.26147	+	2.18493i
$250$	−6.46764	−	9.11974i	−0.409049	−	0.576783i
$251$	3.04672	+	11.3705i	0.192308	+	0.717701i	0.992947	+	0.118556i	$0.0378264\pi$
$251$	3.04672	+	11.3705i	0.192308	+	0.717701i	−0.800640	+	0.599146i	$0.795507\pi$
$252$	5.28977	+	0.462795i	0.333224	+	0.0291533i
$253$	27.2901			1.71572
$254$	8.31404	+	0.727384i	0.521669	+	0.0456402i
$255$	0.00861371	+	4.30503i	0.000539411	+	0.269592i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−4.72544	+	26.7993i	−0.294765	+	1.67169i	0.373392	+	0.927674i	$0.378195\pi$
$257$	−4.72544	+	26.7993i	−0.294765	+	1.67169i	−0.668157	+	0.744021i	$0.732916\pi$
$258$	12.1072	−	12.1072i	0.753762	−	0.753762i
$259$	−9.53476	+	2.14008i	−0.592461	+	0.132978i
$260$	−9.72466	−	4.51102i	−0.603098	−	0.279761i
$261$	0.176604	+	0.252217i	0.0109315	+	0.0156118i
$262$	−4.93351	+	7.04578i	−0.304793	+	0.435290i
$263$	26.4163	−	12.3181i	1.62890	−	0.759568i	0.629058	−	0.777359i	$-0.283441\pi$
$263$	26.4163	−	12.3181i	1.62890	−	0.759568i	0.999842	+	0.0177904i	$0.00566315\pi$
$264$	0.775424	−	8.86314i	0.0477240	−	0.545488i
$265$	18.9640	−	6.94534i	1.16495	−	0.426649i
$266$	−7.37136	+	6.18531i	−0.451967	+	0.379246i
$267$	−18.2967	+	31.6909i	−1.11974	+	1.93945i
$268$	8.61733	+	4.01833i	0.526387	+	0.245458i
$269$	−25.5372	+	14.7439i	−1.55703	+	0.898952i	−0.559492	+	0.828836i	$0.689004\pi$
$269$	−25.5372	+	14.7439i	−1.55703	+	0.898952i	−0.997539	+	0.0701167i	$0.977663\pi$
$270$	1.68877	+	0.294293i	0.102775	+	0.0179101i
$271$	4.86429	−	27.5868i	0.295485	−	1.67578i	−0.369742	−	0.929135i	$-0.620554\pi$
$271$	4.86429	−	27.5868i	0.295485	−	1.67578i	0.665226	−	0.746642i	$-0.268335\pi$
$272$	0.720486	+	0.262235i	0.0436859	+	0.0159004i
$273$	9.66973	+	16.7485i	0.585238	+	1.01366i
$274$	1.02948	+	11.7671i	0.0621934	+	0.710874i
$275$	17.7156	−	0.0708928i	1.06829	−	0.00427500i
$276$	17.5285	+	8.17366i	1.05509	+	0.491996i
$277$	−18.4904	+	3.26035i	−1.11098	+	0.195895i	−0.698876	−	0.715243i	$-0.746316\pi$
$277$	−18.4904	+	3.26035i	−1.11098	+	0.195895i	−0.412101	+	0.911138i	$0.635205\pi$
$278$	−4.49840	+	0.793190i	−0.269796	+	0.0475724i
$279$	−28.2669	−	13.1811i	−1.69229	−	0.789130i
$280$	3.37806	+	1.22187i	0.201878	+	0.0730204i
$281$	0.116158	+	1.32769i	0.00692938	+	0.0792032i	0.998872	−	0.0474852i	$-0.0151207\pi$
$281$	0.116158	+	1.32769i	0.00692938	+	0.0792032i	−0.991943	+	0.126688i	$0.959565\pi$
$282$	4.06200	+	7.03559i	0.241888	+	0.418963i
$283$	−19.4966	−	7.09619i	−1.15895	−	0.421825i	−0.310230	−	0.950661i	$-0.600406\pi$
$283$	−19.4966	−	7.09619i	−1.15895	−	0.421825i	−0.848724	+	0.528837i	$0.822628\pi$
$284$	1.49715	−	8.49078i	0.0888398	−	0.503835i
$285$	−27.5109	+	19.3455i	−1.62961	+	1.14593i
$286$	14.7106	−	8.49317i	0.869856	−	0.502212i
$287$	−3.19290	−	1.48887i	−0.188471	−	0.0878853i
$288$	1.65265	−	2.86248i	0.0973834	−	0.168673i
$289$	−12.5724	+	10.5495i	−0.739554	+	0.620560i
$290$	0.0716332	+	0.195592i	0.00420645	+	0.0114856i
$291$	0.509560	−	5.82429i	0.0298709	−	0.341426i
$292$	−6.01755	+	2.80603i	−0.352151	+	0.164211i
$293$	14.8068	−	21.1463i	0.865023	−	1.23538i	−0.105512	−	0.994418i	$-0.533648\pi$
$293$	14.8068	−	21.1463i	0.865023	−	1.23538i	0.970534	−	0.240962i	$-0.0774630\pi$
$294$	6.36477	+	9.08983i	0.371201	+	0.530130i
$295$	1.02881	+	2.80912i	0.0598995	+	0.163554i
$296$	−1.30096	+	5.94201i	−0.0756167	+	0.345372i
$297$	−1.92069	+	1.92069i	−0.111450	+	0.111450i
$298$	−1.91762	+	10.8753i	−0.111085	+	0.629992i
$299$	6.41202	+	36.3644i	0.370817	+	2.10301i
$300$	11.4000	+	5.26047i	0.658179	+	0.303713i
$301$	−10.9127	−	0.954737i	−0.628997	−	0.0550301i
$302$	22.5864			1.29970
$303$	4.22914	+	0.370002i	0.242958	+	0.0212560i
$304$	1.55027	+	5.78570i	0.0889143	+	0.331833i
$305$	−1.01073	−	1.19966i	−0.0578742	−	0.0686922i
$306$	−1.26713	−	2.19473i	−0.0724369	−	0.125464i
$307$	−1.41057	+	0.377961i	−0.0805055	+	0.0215714i	−0.298847	−	0.954301i	$-0.596602\pi$
$307$	−1.41057	+	0.377961i	−0.0805055	+	0.0215714i	0.218341	+	0.975872i	$0.429935\pi$
$308$	−4.66269	+	3.26485i	−0.265681	+	0.186032i
$309$	23.8179	−	11.1065i	1.35495	−	0.631825i
$310$	−16.1904	−	13.5303i	−0.919553	−	0.768467i
$311$	12.3039	−	1.07645i	0.697689	−	0.0610399i	0.267207	−	0.963639i	$-0.413899\pi$
$311$	12.3039	−	1.07645i	0.697689	−	0.0610399i	0.430482	+	0.902599i	$0.358344\pi$
$312$	11.9924	−	1.04920i	0.678937	−	0.0593993i
$313$	0.160471	+	0.440890i	0.00907036	+	0.0249206i	0.944145	−	0.329530i	$-0.106890\pi$
$313$	0.160471	+	0.440890i	0.00907036	+	0.0249206i	−0.935075	+	0.354450i	$0.884668\pi$
$314$	1.32091	−	1.88645i	0.0745432	−	0.106459i
$315$	−5.95730	−	10.2708i	−0.335656	−	0.578696i
$316$	6.31563	−	13.5439i	0.355282	−	0.761905i
$317$	−0.211982	−	2.42297i	−0.0119061	−	0.136087i	0.987915	−	0.154996i	$-0.0495364\pi$
$317$	−0.211982	−	2.42297i	−0.0119061	−	0.136087i	−0.999821	+	0.0189085i	$0.993981\pi$
$318$	−14.5780	+	17.3733i	−0.817492	+	0.974249i
$319$	−0.318810	−	0.0854249i	−0.0178499	−	0.00478288i
$320$	1.57797	−	1.58430i	0.0882113	−	0.0885650i
$321$	10.4555	+	1.84359i	0.583571	+	0.102899i
$322$	−3.20253	−	11.9520i	−0.178470	−	0.666059i
$323$	4.43604	+	1.18863i	0.246828	+	0.0661374i
$324$	7.50898	−	2.73304i	0.417165	−	0.151836i
$325$	4.25689	+	23.5896i	0.236130	+	1.30852i
$326$	2.20336	+	2.62586i	0.122033	+	0.145433i
$327$		−	20.2128i		−	1.11777i
$328$	−1.67989	+	1.40960i	−0.0927565	+	0.0778320i
$329$	1.77767	−	4.88410i	0.0980059	−	0.269269i
$330$	−17.2090	+	9.98159i	−0.947325	+	0.549469i
$331$	26.6169	−	18.6374i	1.46300	−	1.02440i	0.473354	−	0.880872i	$-0.343043\pi$
$331$	26.6169	−	18.6374i	1.46300	−	1.02440i	0.989646	−	0.143531i	$-0.0458458\pi$
$332$	−11.2108	−	11.2108i	−0.615275	−	0.615275i
$333$	15.9185	−	12.2812i	0.872327	−	0.673005i
$334$		−	5.79717i		−	0.317207i
$335$	−3.73381	−	20.9305i	−0.204000	−	1.14355i
$336$	−3.97270	+	0.700495i	−0.216729	+	0.0382151i
$337$	3.59646	+	7.71264i	0.195912	+	0.420134i	0.979583	−	0.201042i	$-0.0644328\pi$
$337$	3.59646	+	7.71264i	0.195912	+	0.420134i	−0.783671	+	0.621176i	$0.786655\pi$
$338$	6.41738	+	7.64793i	0.349059	+	0.415993i
$339$	0.287618	−	0.287618i	0.0156213	−	0.0156213i
$340$	−0.447045	−	1.65514i	−0.0242444	−	0.0897625i
$341$	32.2942	−	8.65322i	1.74883	−	0.468598i
$342$	8.36704	−	17.9432i	0.452438	−	0.970255i
$343$	4.74801	−	17.7198i	0.256368	−	0.956780i
$344$	−3.40939	+	5.90523i	−0.183822	+	0.318389i
$345$	−7.59491	−	42.5746i	−0.408896	−	2.29214i
$346$	7.21396	+	15.4704i	0.387825	+	0.831693i
$347$	23.9715	−	13.8399i	1.28686	−	0.742967i	0.308765	−	0.951139i	$-0.400084\pi$
$347$	23.9715	−	13.8399i	1.28686	−	0.742967i	0.978092	+	0.208171i	$0.0667512\pi$
$348$	−0.179186	−	0.150355i	−0.00960539	−	0.00805988i
$349$	9.40756	−	11.2115i	0.503575	−	0.600137i	−0.453041	−	0.891490i	$-0.649661\pi$
$349$	9.40756	−	11.2115i	0.503575	−	0.600137i	0.956616	+	0.291353i	$0.0941053\pi$
$350$	−2.11000	−	7.75043i	−0.112784	−	0.414278i
$351$	−3.01062	−	2.10806i	−0.160695	−	0.112520i
$352$	0.615263	+	3.48933i	0.0327936	+	0.185982i
$353$	−26.9426	+	9.80632i	−1.43401	+	0.521938i	−0.938079	−	0.346422i	$-0.887396\pi$
$353$	−26.9426	+	9.80632i	−1.43401	+	0.521938i	−0.495934	+	0.868360i	$0.665174\pi$
$354$	−2.57350	−	2.15942i	−0.136780	−	0.114772i
$355$	−17.4562	+	8.18254i	−0.926481	+	0.434284i
$356$	3.77179	−	14.0765i	0.199904	−	0.746053i
$357$	−1.05785	+	2.90643i	−0.0559876	+	0.153825i
$358$	2.59259	+	3.70260i	0.137022	+	0.195688i
$359$	3.99651	+	2.30739i	0.210928	+	0.121779i	0.601743	−	0.798690i	$-0.294473\pi$
$359$	3.99651	+	2.30739i	0.210928	+	0.121779i	−0.390815	+	0.920469i	$0.627807\pi$
$360$	−7.36145	+	0.658888i	−0.387983	+	0.0347264i
$361$	5.77252	+	15.8599i	0.303817	+	0.834729i
$362$	5.61768	+	3.24337i	0.295259	+	0.170468i
$363$	0.340085	−	3.88719i	0.0178498	−	0.204024i
$364$	−5.44598	−	5.44598i	−0.285447	−	0.285447i
$365$	12.8724	+	7.39760i	0.673773	+	0.387208i
$366$	1.65534	+	0.602495i	0.0865261	+	0.0314929i
$367$	−25.1936	−	17.6407i	−1.31509	−	0.920838i	−0.315488	−	0.948930i	$-0.602168\pi$
$367$	−25.1936	−	17.6407i	−1.31509	−	0.920838i	−0.999605	+	0.0280916i	$0.991057\pi$
$368$	−7.58519	−	1.33747i	−0.395406	−	0.0697207i
$369$	7.24834			0.377334
$370$	12.5419	−	5.26313i	0.652023	−	0.273617i
$371$	14.5097			0.753306
$372$	23.3343	+	4.11447i	1.20983	+	0.213326i
$373$	−12.9193	−	9.04618i	−0.668935	−	0.468393i	0.189118	−	0.981954i	$-0.439437\pi$
$373$	−12.9193	−	9.04618i	−0.668935	−	0.468393i	−0.858053	+	0.513561i	$0.828326\pi$
$374$	2.55279	+	0.929141i	0.132002	+	0.0480447i
$375$	−5.04091	−	27.6180i	−0.260311	−	1.42619i
$376$	−2.28771	−	2.28771i	−0.117980	−	0.117980i
$377$	0.0389228	−	0.444889i	0.00200462	−	0.0229130i
$378$	1.06658	+	0.615791i	0.0548590	+	0.0316729i
$379$	−9.83728	−	27.0277i	−0.505307	−	1.38832i	−0.886029	−	0.463631i	$-0.846546\pi$
$379$	−9.83728	−	27.0277i	−0.505307	−	1.38832i	0.380721	−	0.924690i	$-0.375676\pi$
$380$	8.58869	−	10.2773i	0.440591	−	0.527214i
$381$	18.1490	+	10.4783i	0.929799	+	0.536820i
$382$	−7.06564	−	10.0908i	−0.361510	−	0.516289i
$383$	6.22136	−	17.0930i	0.317897	−	0.873414i	−0.673103	−	0.739549i	$-0.735039\pi$
$383$	6.22136	−	17.0930i	0.317897	−	0.873414i	0.991000	−	0.133865i	$-0.0427388\pi$
$384$	−0.649904	+	2.42547i	−0.0331653	+	0.123774i
$385$	11.9690	+	4.32926i	0.609997	+	0.220640i
$386$	−3.77808	−	3.17018i	−0.192299	−	0.161358i
$387$	21.1789	−	7.70848i	1.07658	−	0.391844i
$388$	0.404312	+	2.29297i	0.0205258	+	0.116408i
$389$	−23.8521	−	16.7014i	−1.20935	−	0.846794i	−0.217731	−	0.976009i	$-0.569865\pi$
$389$	−23.8521	−	16.7014i	−1.20935	−	0.846794i	−0.991617	+	0.129215i	$0.958754\pi$
$390$	−17.3440	−	20.5860i	−0.878246	−	1.04241i
$391$	−3.79597	+	4.52386i	−0.191970	+	0.228781i
$392$	−3.38526	−	2.84057i	−0.170982	−	0.143471i
$393$	−18.7046	+	10.7991i	−0.943521	+	0.544742i
$394$	−4.59527	−	9.85459i	−0.231506	−	0.496467i
$395$	−32.8966	+	5.86845i	−1.65521	+	0.295274i
$396$	5.85560	−	10.1422i	0.294255	−	0.509664i
$397$	9.84457	−	36.7404i	0.494085	−	1.84395i	−0.0410113	−	0.999159i	$-0.513058\pi$
$397$	9.84457	−	36.7404i	0.494085	−	1.84395i	0.535096	−	0.844791i	$-0.320275\pi$
$398$	7.74977	−	16.6194i	0.388461	−	0.833057i
$399$	−23.3395	+	6.25379i	−1.16843	+	0.313081i
$400$	−4.92747	−	0.848530i	−0.246374	−	0.0424265i
$401$	−4.69266	+	4.69266i	−0.234340	+	0.234340i	−0.814502	−	0.580161i	$-0.802990\pi$
$401$	−4.69266	+	4.69266i	−0.234340	+	0.234340i	0.580161	+	0.814502i	$0.302990\pi$
$402$	15.3468	+	18.2896i	0.765428	+	0.912202i
$403$	19.1183	+	40.9993i	0.952350	+	2.04232i
$404$	−1.66497	+	0.293579i	−0.0828353	+	0.0146061i
$405$	−14.6572	−	10.2195i	−0.728323	−	0.507809i
$406$			0.149651i			0.00742705i
$407$	−4.60950	+	21.0535i	−0.228484	+	1.04358i
$408$	1.36137	+	1.36137i	0.0673981	+	0.0673981i
$409$	−4.58162	+	3.20808i	−0.226546	+	0.158629i	−0.681339	−	0.731968i	$-0.738602\pi$
$409$	−4.58162	+	3.20808i	−0.226546	+	0.158629i	0.454793	+	0.890597i	$0.349713\pi$
$410$	4.73902	+	1.25966i	0.234043	+	0.0622101i
$411$	−10.1444	+	27.8716i	−0.500388	+	1.37481i
$412$	−8.01731	+	6.72732i	−0.394985	+	0.331431i
$413$			2.14931i			0.105761i
$414$	16.3642	+	19.5021i	0.804255	+	0.958474i
$415$	−6.08627	+	34.9255i	−0.298763	+	1.71442i
$416$	−4.50501	+	1.63969i	−0.220876	+	0.0803923i
$417$	−11.0791	−	2.96863i	−0.542545	−	0.145374i
$418$	5.49286	+	20.4996i	0.268665	+	1.00267i
$419$	29.0898	+	5.12932i	1.42113	+	0.250584i	0.830797	−	0.556576i	$-0.187885\pi$
$419$	29.0898	+	5.12932i	1.42113	+	0.250584i	0.590334	+	0.807159i	$0.298996\pi$
$420$	6.39104	+	6.36552i	0.311851	+	0.310606i
$421$	−33.0452	−	8.85443i	−1.61052	−	0.431538i	−0.662324	−	0.749217i	$-0.730430\pi$
$421$	−33.0452	−	8.85443i	−1.61052	−	0.431538i	−0.948198	+	0.317679i	$0.897097\pi$
$422$	−12.7764	+	15.2263i	−0.621943	+	0.741203i
$423$	0.932017	+	10.6530i	0.0453162	+	0.517967i
$424$	3.81702	−	8.18563i	0.185371	−	0.397530i
$425$	−2.45243	+	2.94656i	−0.118961	+	0.142929i
$426$	12.4177	−	17.7343i	0.601639	−	0.859229i
$427$	−0.385462	−	1.05905i	−0.0186538	−	0.0512510i
$428$	−4.21198	+	0.368501i	−0.203594	+	0.0178121i
$429$	42.4910	−	3.71748i	2.05149	−	0.179482i
$430$	15.1865	−	1.35927i	0.732359	−	0.0655499i
$431$	−9.90941	+	4.62083i	−0.477319	+	0.222578i	−0.646362	−	0.763031i	$-0.723710\pi$
$431$	−9.90941	+	4.62083i	−0.477319	+	0.222578i	0.169042	+	0.985609i	$0.445933\pi$
$432$	0.627981	−	0.439717i	0.0302137	−	0.0211559i
$433$	36.8746	−	9.88051i	1.77208	−	0.474827i	0.782976	−	0.622052i	$-0.213701\pi$
$433$	36.8746	−	9.88051i	1.77208	−	0.474827i	0.989103	+	0.147225i	$0.0470340\pi$
$434$	−7.57954	−	13.1281i	−0.363829	−	0.630171i
$435$	−0.0445434	+	0.521141i	−0.00213569	+	0.0249868i
$436$	2.08339	+	7.77531i	0.0997761	+	0.372370i
$437$	−45.9591	−	4.02090i	−2.19852	−	0.192346i
$438$	−16.6724			−0.796636
$439$	8.44090	+	0.738483i	0.402862	+	0.0352459i	0.286787	−	0.957995i	$-0.407413\pi$
$439$	8.44090	+	0.738483i	0.402862	+	0.0352459i	0.116076	+	0.993240i	$0.462969\pi$
$440$	5.59100	−	5.61342i	0.266541	−	0.267609i
$441$	2.53641	+	14.3847i	0.120782	+	0.684986i
$442$	−0.638292	+	3.61993i	−0.0303605	+	0.172183i
$443$	−4.87950	+	4.87950i	−0.231832	+	0.231832i	−0.813457	−	0.581625i	$-0.802417\pi$
$443$	−4.87950	+	4.87950i	−0.231832	+	0.231832i	0.581625	+	0.813457i	$0.302417\pi$
$444$	−9.26641	+	12.1421i	−0.439764	+	0.576237i
$445$	−30.5988	+	11.2064i	−1.45052	+	0.531236i
$446$	6.23648	+	8.90662i	0.295306	+	0.421741i
$447$	−15.9051	+	22.7148i	−0.752284	+	1.07437i
$448$	1.45599	−	0.678938i	0.0687889	−	0.0320768i
$449$	0.940909	−	10.7546i	0.0444042	−	0.507543i	−0.941128	−	0.338052i	$-0.890232\pi$
$449$	0.940909	−	10.7546i	0.0444042	−	0.507543i	0.985532	−	0.169491i	$-0.0542123\pi$
$450$	10.6736	+	12.6174i	0.503159	+	0.594791i
$451$	−5.95212	+	4.99442i	−0.280274	+	0.235178i
$452$	−0.0809932	+	0.140284i	−0.00380960	+	0.00659842i
$453$	51.4016	+	23.9689i	2.41506	+	1.12616i
$454$	−13.8160	+	7.97665i	−0.648415	+	0.374363i
$455$	−2.95658	+	16.9660i	−0.138607	+	0.795379i
$456$	−2.61177	+	14.8121i	−0.122307	+	0.693640i
$457$	10.5246	+	3.83063i	0.492318	+	0.179189i	0.576236	−	0.817284i	$-0.304521\pi$
$457$	10.5246	+	3.83063i	0.492318	+	0.179189i	−0.0839175	+	0.996473i	$0.526743\pi$
$458$	1.88239	+	3.26040i	0.0879585	+	0.152349i
$459$	−0.0512292	−	0.585552i	−0.00239117	−	0.0273312i
$460$	7.30983	+	15.5944i	0.340822	+	0.727094i
$461$	22.2559	+	10.3781i	1.03656	+	0.483357i	0.864977	−	0.501812i	$-0.167333\pi$
$461$	22.2559	+	10.3781i	1.03656	+	0.483357i	0.171586	+	0.985169i	$0.445111\pi$
$462$	−14.0759	+	2.48196i	−0.654870	+	0.115471i
$463$	−10.5484	+	1.85997i	−0.490227	+	0.0864403i	−0.413297	−	0.910596i	$-0.635623\pi$
$463$	−10.5484	+	1.85997i	−0.490227	+	0.0864403i	−0.0769300	+	0.997036i	$0.524512\pi$
$464$	0.0844255	+	0.0393683i	0.00391936	+	0.00182763i
$465$	−22.4872	−	47.9732i	−1.04282	−	2.22470i
$466$	0.241679	+	2.76241i	0.0111956	+	0.127966i
$467$	18.1076	+	31.3633i	0.837919	+	1.45132i	0.891631	+	0.452762i	$0.149561\pi$
$467$	18.1076	+	31.3633i	0.837919	+	1.45132i	−0.0537121	+	0.998556i	$0.517105\pi$
$468$	14.8904	+	5.41966i	0.688309	+	0.250524i
$469$	2.65246	−	15.0429i	0.122479	−	0.694614i
$470$	−1.24198	+	7.12698i	−0.0572883	+	0.328743i
$471$	5.00801	−	2.89138i	0.230757	−	0.133228i
$472$	1.21253	+	0.565413i	0.0558113	+	0.0260252i
$473$	−12.0800	+	20.9231i	−0.555438	+	0.962047i
$474$	28.7459	−	24.1206i	1.32034	−	1.10790i
$475$	−29.8452	−	2.49082i	−1.36939	−	0.114287i
$476$	0.107354	−	1.22706i	0.00492055	−	0.0562421i
$477$	−27.0560	+	12.6164i	−1.23881	+	0.577666i
$478$	3.08556	−	4.40664i	0.141130	−	0.201555i
$479$	17.2133	+	24.5832i	0.786497	+	1.12323i	0.989567	+	0.144070i	$0.0460192\pi$
$479$	17.2133	+	24.5832i	0.786497	+	1.12323i	−0.203070	+	0.979164i	$0.565092\pi$
$480$	5.27238	−	1.93094i	0.240650	−	0.0881351i
$481$	−29.1370	−	1.19553i	−1.32853	−	0.0545117i
$482$	−6.58466	+	6.58466i	−0.299923	+	0.299923i
$483$	5.39536	−	30.5986i	0.245497	−	1.39228i
$484$	0.269841	+	1.53035i	0.0122655	+	0.0695612i
$485$	3.67405	−	3.68878i	0.166830	−	0.167499i
$486$	22.2802	+	1.94926i	1.01065	+	0.0884203i
$487$	10.3486			0.468939			0.234470	−	0.972123i	$-0.424665\pi$
$487$	10.3486			0.468939			0.234470	+	0.972123i	$0.424665\pi$
$488$	−0.698864	−	0.0611427i	−0.0316361	−	0.00276780i
$489$	2.22775	+	8.31407i	0.100742	+	0.375975i
$490$	−0.841533	+	9.84562i	−0.0380166	+	0.444780i
$491$	−5.91272	−	10.2411i	−0.266837	−	0.462176i	0.701206	−	0.712959i	$-0.252645\pi$
$491$	−5.91272	−	10.2411i	−0.266837	−	0.462176i	−0.968043	+	0.250783i	$0.919312\pi$
$492$	−5.31893	+	1.42520i	−0.239796	+	0.0642531i
$493$	0.0585062	−	0.0409665i	0.00263499	−	0.00184504i
$494$	−26.0254	+	12.1359i	−1.17094	+	0.546018i
$495$	−26.0828	+	2.33454i	−1.17233	+	0.104930i
$496$	−9.40016	+	0.822408i	−0.422080	+	0.0369272i
$497$	−13.7982	+	1.20719i	−0.618933	+	0.0541497i
$498$	−13.6163	−	37.4104i	−0.610159	−	1.67640i
$499$	12.7949	−	18.2731i	0.572780	−	0.818014i	−0.423345	−	0.905969i	$-0.639144\pi$
$499$	12.7949	−	18.2731i	0.572780	−	0.818014i	0.996124	+	0.0879544i	$0.0280330\pi$
$500$	4.78575	+	10.1043i	0.214025	+	0.451877i
$501$	6.15202	−	13.1930i	0.274852	−	0.589422i
$502$	−1.02597	−	11.7268i	−0.0457911	−	0.523395i
$503$	−11.9674	+	14.2622i	−0.533601	+	0.635920i	−0.963740	−	0.266842i	$-0.914020\pi$
$503$	−11.9674	+	14.2622i	−0.533601	+	0.635920i	0.430140	+	0.902762i	$0.358464\pi$
$504$	−5.12904	−	1.37432i	−0.228466	−	0.0612172i
$505$	2.67850	+	2.66780i	0.119192	+	0.118716i
$506$	−26.8755	−	4.73888i	−1.19476	−	0.210669i
$507$	6.48842	+	24.2151i	0.288161	+	1.07543i
$508$	−8.06142	−	2.16005i	−0.357668	−	0.0958368i
$509$	−32.9663	+	11.9988i	−1.46121	+	0.531836i	−0.945698	−	0.325048i	$-0.894620\pi$
$509$	−32.9663	+	11.9988i	−1.46121	+	0.531836i	−0.515510	+	0.856884i	$0.672397\pi$
$510$	0.739078	−	4.24113i	0.0327269	−	0.187800i
$511$	6.85635	+	8.17108i	0.303307	+	0.361467i
$512$		−	1.00000i		−	0.0441942i
$513$	3.51761	−	2.95163i	0.155306	−	0.130318i
$514$	9.30730	−	25.5716i	0.410527	−	1.12791i
$515$	22.6170	+	6.01174i	0.996625	+	0.264909i
$516$	−14.0257	+	9.82088i	−0.617446	+	0.432340i
$517$	−8.10573	−	8.10573i	−0.356490	−	0.356490i
$518$	9.76152	−	0.451871i	0.428897	−	0.0198541i
$519$			42.8626i			1.88146i
$520$	8.79359	+	6.13116i	0.385625	+	0.268869i
$521$	−18.2900	+	3.22503i	−0.801301	+	0.141291i	−0.559279	−	0.828980i	$-0.688922\pi$
$521$	−18.2900	+	3.22503i	−0.801301	+	0.141291i	−0.242023	+	0.970271i	$0.577811\pi$
$522$	−0.130124	−	0.279052i	−0.00569537	−	0.0122138i
$523$	5.84888	+	6.97043i	0.255754	+	0.304796i	0.878609	−	0.477541i	$-0.158472\pi$
$523$	5.84888	+	6.97043i	0.255754	+	0.304796i	−0.622855	+	0.782337i	$0.714028\pi$
$524$	6.08204	−	6.08204i	0.265695	−	0.265695i
$525$	3.42296	−	19.8774i	0.149390	−	0.867519i
$526$	−28.1540	+	7.54384i	−1.22757	+	0.328927i
$527$	−3.05759	+	6.55702i	−0.133191	+	0.285628i
$528$	−2.30271	+	8.59383i	−0.100213	+	0.373999i
$529$	18.1620	−	31.4575i	0.789653	−	1.36772i
$530$	−19.8820	+	3.54676i	−0.863617	+	0.154061i
$531$	−1.86886	−	4.00778i	−0.0811016	−	0.173923i
$532$	8.33345	−	4.81132i	0.361301	−	0.208597i
$533$	−8.05362	−	6.75779i	−0.348841	−	0.292712i
$534$	23.5218	−	28.0322i	1.01789	−	1.21307i
$535$	6.09155	+	7.23020i	0.263361	+	0.312589i
$536$	−7.78864	−	5.45366i	−0.336418	−	0.235562i
$537$	1.97090	+	11.1775i	0.0850507	+	0.482347i
$538$	27.7095	−	10.0854i	1.19464	−	0.434814i
$539$	−11.9945	−	10.0646i	−0.516640	−	0.433513i
$540$	−1.61201	−	0.583074i	−0.0693699	−	0.0250915i
$541$	−2.63937	+	9.85025i	−0.113475	+	0.423495i	−0.999168	−	0.0407759i	$-0.987017\pi$
$541$	−2.63937	+	9.85025i	−0.113475	+	0.423495i	0.885693	+	0.464271i	$0.153684\pi$
$542$	−9.58078	+	26.3230i	−0.411530	+	1.13067i
$543$	9.34266	+	13.3427i	0.400932	+	0.572590i
$544$	−0.664003	−	0.383362i	−0.0284689	−	0.0164365i
$545$	11.5422	−	13.8115i	0.494413	−	0.591619i
$546$	−6.61448	−	18.1731i	−0.283074	−	0.777739i
$547$	−20.3090	−	11.7254i	−0.868351	−	0.501343i	−0.00155089	−	0.999999i	$-0.500494\pi$
$547$	−20.3090	−	11.7254i	−0.868351	−	0.501343i	−0.866800	+	0.498656i	$0.833827\pi$
$548$	1.02948	−	11.7671i	0.0439774	−	0.502664i
$549$	1.63963	+	1.63963i	0.0699775	+	0.0699775i
$550$	−17.4588	−	3.00647i	−0.744446	−	0.128196i
$551$	0.524320	+	0.190837i	0.0223368	+	0.00812992i
$552$	−15.8428	−	11.0933i	−0.674316	−	0.472161i
$553$	−23.6429	−	4.16889i	−1.00540	−	0.177279i
$554$	18.7756			0.797699
$555$	34.1278	+	1.33192i	1.44864	+	0.0565368i
$556$	4.56780			0.193718
$557$	23.8336	+	4.20251i	1.00986	+	0.178066i	0.654018	−	0.756479i	$-0.273082\pi$
$557$	23.8336	+	4.20251i	1.00986	+	0.178066i	0.355845	+	0.934545i	$0.384193\pi$
$558$	25.5486	+	17.8893i	1.08156	+	0.757315i
$559$	−30.7186	−	11.1807i	−1.29926	−	0.472892i
$560$	−3.11457	−	1.78990i	−0.131615	−	0.0756370i
$561$	4.82356	+	4.82356i	0.203651	+	0.203651i
$562$	0.116158	−	1.32769i	0.00489981	−	0.0560051i
$563$	−3.02619	−	1.74717i	−0.127539	−	0.0736346i	0.434873	−	0.900492i	$-0.356793\pi$
$563$	−3.02619	−	1.74717i	−0.127539	−	0.0736346i	−0.562412	+	0.826857i	$0.690127\pi$
$564$	−2.77857	−	7.63406i	−0.116999	−	0.321452i
$565$	0.360771	−	0.0322908i	0.0151777	−	0.00135849i
$566$	17.9682	+	10.3739i	0.755259	+	0.436049i
$567$	−7.36322	−	10.5158i	−0.309226	−	0.441621i
$568$	−2.94882	+	8.10181i	−0.123730	+	0.339944i
$569$	−5.11318	+	19.0827i	−0.214356	+	0.799986i	0.772037	+	0.635578i	$0.219238\pi$
$569$	−5.11318	+	19.0827i	−0.214356	+	0.799986i	−0.986392	+	0.164408i	$0.947429\pi$
$570$	30.4523	−	14.2744i	1.27551	−	0.597888i
$571$	−8.61188	−	7.22622i	−0.360396	−	0.302408i	0.444553	−	0.895753i	$-0.353363\pi$
$571$	−8.61188	−	7.22622i	−0.360396	−	0.302408i	−0.804948	+	0.593345i	$0.797807\pi$
$572$	−15.9619	+	5.80967i	−0.667402	+	0.242915i
$573$	−5.37135	−	30.4624i	−0.224391	−	1.27259i
$574$	2.88585	+	2.02069i	0.120453	+	0.0843421i
$575$	19.1219	−	33.4283i	0.797439	−	1.39406i
$576$	−2.12461	+	2.53201i	−0.0885253	+	0.105500i
$577$	29.7719	+	24.9816i	1.23942	+	1.04000i	0.997569	+	0.0696835i	$0.0221989\pi$
$577$	29.7719	+	24.9816i	1.23942	+	1.04000i	0.241851	+	0.970313i	$0.422246\pi$
$578$	14.2133	−	8.20607i	0.591196	−	0.341327i
$579$	−5.23381	−	11.2239i	−0.217510	−	0.466451i
$580$	−0.0365808	−	0.205060i	−0.00151893	−	0.00851464i
$581$	−12.7352	+	22.0580i	−0.528344	+	0.915119i
$582$	−1.51320	+	5.64733i	−0.0627240	+	0.234089i
$583$	13.5243	−	29.0030i	0.560120	−	1.20118i
$584$	6.41339	−	1.71846i	0.265388	−	0.0711105i
$585$	−9.23915	−	34.2071i	−0.381992	−	1.41429i
$586$	−18.2539	+	18.2539i	−0.754060	+	0.754060i
$587$	9.37314	+	11.1705i	0.386871	+	0.461055i	0.923970	−	0.382464i	$-0.124924\pi$
$587$	9.37314	+	11.1705i	0.386871	+	0.461055i	−0.537100	+	0.843519i	$0.680480\pi$
$588$	−4.68964	−	10.0570i	−0.193398	−	0.414742i
$589$	−55.6615	+	9.81463i	−2.29349	+	0.404405i
$590$	−0.525378	−	2.94510i	−0.0216295	−	0.121248i
$591$		−	27.3033i		−	1.12311i
$592$	2.31301	−	5.62583i	0.0950643	−	0.231220i
$593$	23.3347	+	23.3347i	0.958240	+	0.958240i	0.999162	−	0.0409222i	$-0.0130296\pi$
$593$	23.3347	+	23.3347i	0.958240	+	0.958240i	−0.0409222	+	0.999162i	$0.513030\pi$
$594$	2.22503	−	1.55799i	0.0912942	−	0.0639249i
$595$	−2.38251	+	1.38190i	−0.0976732	+	0.0566525i
$596$	3.77697	−	10.3771i	0.154711	−	0.425064i
$597$	35.2734	−	29.5979i	1.44364	−	1.21136i
$598$		−	36.9254i		−	1.50999i
$599$	−5.61392	−	6.69041i	−0.229379	−	0.273363i	0.639063	−	0.769155i	$-0.279322\pi$
$599$	−5.61392	−	6.69041i	−0.229379	−	0.273363i	−0.868441	+	0.495792i	$0.834878\pi$
$600$	−10.3133	−	7.16014i	−0.421040	−	0.292312i
$601$	−22.7086	+	8.26527i	−0.926304	+	0.337147i	−0.760744	−	0.649052i	$-0.775166\pi$
$601$	−22.7086	+	8.26527i	−0.926304	+	0.337147i	−0.165561	+	0.986200i	$0.552943\pi$
$602$	10.5811	+	2.83520i	0.431254	+	0.115554i
$603$	8.13400	+	30.3565i	0.331242	+	1.23621i
$604$	−22.2433	−	3.92209i	−0.905067	−	0.159588i
$605$	2.45210	−	2.46193i	0.0996919	−	0.100092i
$606$	−4.10064	−	1.09876i	−0.166577	−	0.0446342i
$607$	−29.3638	+	34.9944i	−1.19184	+	1.42038i	−0.308772	+	0.951136i	$0.599918\pi$
$607$	−29.3638	+	34.9944i	−1.19184	+	1.42038i	−0.883069	+	0.469244i	$0.844526\pi$
$608$	−0.522046	−	5.96701i	−0.0211717	−	0.241994i
$609$	−0.158811	+	0.340571i	−0.00643535	+	0.0138006i
$610$	0.787055	+	1.35694i	0.0318669	+	0.0549410i
$611$	8.89647	−	12.7055i	0.359913	−	0.514009i
$612$	0.866767	+	2.38142i	0.0350370	+	0.0962633i
$613$	2.81304	−	0.246109i	0.113618	−	0.00994025i	−0.0302051	−	0.999544i	$-0.509616\pi$
$613$	2.81304	−	0.246109i	0.113618	−	0.00994025i	0.143823	+	0.989603i	$0.454060\pi$
$614$	1.45477	−	0.127276i	0.0587099	−	0.00513645i
$615$	9.44816	+	7.89578i	0.380986	+	0.318389i
$616$	5.15879	−	2.40558i	0.207853	−	0.0969237i
$617$	28.8760	−	20.2192i	1.16250	−	0.813995i	0.177095	−	0.984194i	$-0.443330\pi$
$617$	28.8760	−	20.2192i	1.16250	−	0.813995i	0.985410	+	0.170199i	$0.0544411\pi$
$618$	−25.3847	+	6.80180i	−1.02112	+	0.273609i
$619$	−13.0900	−	22.6726i	−0.526132	−	0.911287i	−0.999537	−	0.0304418i	$-0.990309\pi$
$619$	−13.0900	−	22.6726i	−0.526132	−	0.911287i	0.473405	−	0.880845i	$-0.343025\pi$
$620$	13.5949	+	16.1361i	0.545986	+	0.648043i
$621$	1.52825	+	5.70349i	0.0613264	+	0.228873i
$622$	−12.3039	−	1.07645i	−0.493341	−	0.0431617i
$623$	−23.4117			−0.937969
$624$	−11.9924	−	1.04920i	−0.480081	−	0.0420016i
$625$	12.3263	−	21.7500i	0.493053	−	0.869999i
$626$	−0.0814733	−	0.462058i	−0.00325633	−	0.0184675i
$627$	−9.25392	+	52.4816i	−0.369566	+	2.09591i
$628$	−1.62842	+	1.62842i	−0.0649810	+	0.0649810i
$629$	−2.84885	−	3.69258i	−0.113591	−	0.147233i
$630$	4.08328	+	11.1493i	0.162682	+	0.444197i
$631$	16.2111	+	23.1519i	0.645355	+	0.921662i	0.999911	−	0.0133729i	$-0.00425686\pi$
$631$	16.2111	+	23.1519i	0.645355	+	0.921662i	−0.354556	+	0.935035i	$0.615368\pi$
$632$	−8.57156	+	12.2415i	−0.340958	+	0.486939i
$633$	−45.2343	+	21.0931i	−1.79790	+	0.838376i
$634$	−0.211982	+	2.42297i	−0.00841889	+	0.0962284i
$635$	6.41778	+	17.5235i	0.254682	+	0.695400i
$636$	17.3733	−	14.5780i	0.688898	−	0.578054i
$637$	10.5930	−	18.3476i	0.419709	−	0.726958i
$638$	0.299133	+	0.139488i	0.0118428	+	0.00552238i
$639$	24.6796	−	14.2488i	0.976310	−	0.563673i
$640$	−1.82911	+	1.28622i	−0.0723019	+	0.0508422i
$641$	0.668146	−	3.78924i	0.0263902	−	0.149666i	−0.968765	−	0.247979i	$-0.920234\pi$
$641$	0.668146	−	3.78924i	0.0263902	−	0.149666i	0.995156	+	0.0983131i	$0.0313447\pi$
$642$	−9.97656	−	3.63117i	−0.393743	−	0.143311i
$643$	21.1905	+	36.7030i	0.835671	+	1.44742i	0.893483	+	0.449097i	$0.148254\pi$
$643$	21.1905	+	36.7030i	0.835671	+	1.44742i	−0.0578124	+	0.998327i	$0.518413\pi$
$644$	1.07843	+	12.3265i	0.0424962	+	0.485734i
$645$	36.0035	+	13.0227i	1.41764	+	0.512768i
$646$	−4.16224	−	1.94089i	−0.163761	−	0.0763632i
$647$	19.5213	−	3.44212i	0.767460	−	0.135324i	0.223806	−	0.974634i	$-0.428152\pi$
$647$	19.5213	−	3.44212i	0.767460	−	0.135324i	0.543653	+	0.839310i	$0.317041\pi$
$648$	−7.86949	+	1.38760i	−0.309143	+	0.0545102i
$649$	4.29619	+	2.00335i	0.168640	+	0.0786382i
$650$	−0.0959227	−	23.9704i	−0.00376240	−	0.940198i
$651$	−3.31758	−	37.9201i	−0.130026	−	1.48621i
$652$	−1.71391	−	2.96857i	−0.0671217	−	0.116258i
$653$	15.2877	+	5.56426i	0.598253	+	0.217746i	0.623355	−	0.781939i	$-0.285769\pi$
$653$	15.2877	+	5.56426i	0.598253	+	0.217746i	−0.0251026	+	0.999685i	$0.507991\pi$
$654$	−3.50992	+	19.9057i	−0.137249	+	0.778376i
$655$	−18.9476	−	3.30189i	−0.740342	−	0.129015i
$656$	1.89914	−	1.09647i	0.0741492	−	0.0428100i
$657$	−19.8898	−	9.27478i	−0.775976	−	0.361843i
$658$	−2.59877	+	4.50121i	−0.101311	+	0.175475i
$659$	33.5160	−	28.1233i	1.30560	−	1.09553i	0.316449	−	0.948610i	$-0.397510\pi$
$659$	33.5160	−	28.1233i	1.30560	−	1.09553i	0.989149	−	0.146917i	$-0.0469349\pi$
$660$	18.6809	−	6.84164i	0.727151	−	0.266310i
$661$	−2.90064	+	33.1545i	−0.112822	+	1.28956i	0.702972	+	0.711218i	$0.251856\pi$
$661$	−2.90064	+	33.1545i	−0.112822	+	1.28956i	−0.815794	+	0.578343i	$0.803700\pi$
$662$	−29.4489	+	13.7323i	−1.14457	+	0.533719i
$663$	−5.29412	+	7.56078i	−0.205606	+	0.293636i
$664$	9.09379	+	12.9873i	0.352907	+	0.504004i
$665$	−19.5191	−	9.05438i	−0.756917	−	0.351114i
$666$	−17.8092	+	9.33040i	−0.690094	+	0.361546i
$667$	−0.507339	+	0.507339i	−0.0196442	+	0.0196442i
$668$	−1.00667	+	5.70910i	−0.0389492	+	0.220892i
$669$	4.74102	+	26.8876i	0.183298	+	1.03954i
$670$	0.0425397	+	21.2609i	0.00164345	+	0.821379i
$671$	−2.47619	−	0.216638i	−0.0955921	−	0.00836322i
$672$	4.03399			0.155614
$673$	−6.00110	−	0.525028i	−0.231325	−	0.0202384i	−0.0290964	−	0.999577i	$-0.509263\pi$
$673$	−6.00110	−	0.525028i	−0.231325	−	0.0202384i	−0.202229	+	0.979338i	$0.564819\pi$
$674$	−2.20254	−	8.21998i	−0.0848386	−	0.316622i
$675$	1.00689	+	3.69850i	0.0387553	+	0.142356i
$676$	−4.99183	−	8.64611i	−0.191994	−	0.332543i
$677$	39.7608	−	10.6539i	1.52813	−	0.409462i	0.605724	−	0.795675i	$-0.292884\pi$
$677$	39.7608	−	10.6539i	1.52813	−	0.409462i	0.922410	+	0.386213i	$0.126217\pi$
$678$	−0.333193	+	0.233304i	−0.0127962	+	0.00896000i
$679$	3.39003	−	1.58080i	0.130097	−	0.0606654i
$680$	0.152841	+	1.70762i	0.00586119	+	0.0654843i
$681$	−39.9069	+	3.49140i	−1.52923	+	0.133791i
$682$	−33.3062	+	2.91392i	−1.27536	+	0.111580i
$683$	−7.18421	−	19.7385i	−0.274896	−	0.755271i	−0.997921	−	0.0644492i	$-0.979471\pi$
$683$	−7.18421	−	19.7385i	−0.274896	−	0.755271i	0.723025	−	0.690822i	$-0.242751\pi$
$684$	−11.3557	+	16.2177i	−0.434197	+	0.620097i
$685$	−22.8474	+	13.2520i	−0.872953	+	0.506331i
$686$	−7.75289	+	16.6261i	−0.296007	+	0.634788i
$687$	0.823928	+	9.41754i	0.0314348	+	0.359302i
$688$	4.38302	−	5.22348i	0.167101	−	0.199143i
$689$	41.8244	+	11.2068i	1.59338	+	0.426946i
$690$	0.0865298	+	43.2466i	0.00329413	+	1.64637i
$691$	32.1504	+	5.66898i	1.22306	+	0.215658i	0.747641	−	0.664103i	$-0.231186\pi$
$691$	32.1504	+	5.66898i	1.22306	+	0.215658i	0.475416	+	0.879761i	$0.342297\pi$
$692$	−4.41796	−	16.4880i	−0.167946	−	0.626781i
$693$	−18.1730	−	4.86944i	−0.690335	−	0.184975i
$694$	−26.0106	+	9.46708i	−0.987348	+	0.359365i
$695$	−5.87519	−	8.35501i	−0.222859	−	0.316923i
$696$	0.150355	+	0.179186i	0.00569920	+	0.00679204i
$697$		−	1.68138i		−	0.0636870i
$698$	−11.2115	+	9.40756i	−0.424361	+	0.356081i
$699$	−2.38148	+	6.54307i	−0.0900760	+	0.247482i
$700$	0.732095	+	7.99908i	0.0276706	+	0.302337i
$701$	16.5247	−	11.5707i	0.624130	−	0.437021i	−0.218259	−	0.975891i	$-0.570038\pi$
$701$	16.5247	−	11.5707i	0.624130	−	0.437021i	0.842389	+	0.538870i	$0.181149\pi$
$702$	2.59882	+	2.59882i	0.0980862	+	0.0980862i
$703$	10.8648	−	34.7769i	0.409775	−	1.31163i
$704$		−	3.54316i		−	0.133538i
$705$	−10.3897	+	14.9014i	−0.391298	+	0.561218i
$706$	28.2362	−	4.97880i	1.06268	−	0.187380i
$707$	1.14785	+	2.46157i	0.0431693	+	0.0925768i
$708$	2.15942	+	2.57350i	0.0811561	+	0.0967181i
$709$	−11.1604	+	11.1604i	−0.419137	+	0.419137i	−0.884906	−	0.465769i	$-0.845778\pi$
$709$	−11.1604	+	11.1604i	−0.419137	+	0.419137i	0.465769	+	0.884906i	$0.345778\pi$
$710$	18.6119	−	5.02699i	0.698493	−	0.188659i
$711$	47.7115	−	12.7843i	1.78932	−	0.479447i
$712$	−6.15884	+	13.2077i	−0.230812	+	0.494979i
$713$	18.8106	−	70.2021i	0.704462	−	2.62909i
$714$	1.54648	−	2.67858i	0.0578755	−	0.100243i
$715$	31.1571	+	21.7236i	1.16521	+	0.812418i
$716$	−1.91025	−	4.09654i	−0.0713894	−	0.153095i
$717$	11.6984	−	6.75407i	0.436885	−	0.252235i
$718$	−3.53512	−	2.96632i	−0.131930	−	0.110702i
$719$	5.60968	−	6.68536i	0.209206	−	0.249322i	−0.651230	−	0.758880i	$-0.725747\pi$
$719$	5.60968	−	6.68536i	0.209206	−	0.249322i	0.860436	+	0.509558i	$0.170191\pi$
$720$	7.36403	+	0.629425i	0.274441	+	0.0234573i
$721$	13.7728	+	9.64379i	0.512924	+	0.359153i
$722$	−2.93078	−	16.6213i	−0.109072	−	0.618581i
$723$	−21.9729	+	7.99747i	−0.817180	+	0.297429i
$724$	−4.96913	−	4.16959i	−0.184676	−	0.154962i
$725$	−0.328026	+	0.330662i	−0.0121826	+	0.0122805i
$726$	−1.00992	+	3.76908i	−0.0374817	+	0.139884i
$727$	10.2302	−	28.1071i	0.379415	−	1.04244i	−0.592184	−	0.805803i	$-0.701734\pi$
$727$	10.2302	−	28.1071i	0.379415	−	1.04244i	0.971599	−	0.236632i	$-0.0760437\pi$
$728$	4.41756	+	6.30893i	0.163726	+	0.233825i
$729$	27.8751	+	16.0937i	1.03241	+	0.596062i
$730$	−11.3923	−	9.52048i	−0.421647	−	0.352369i
$731$	−1.78812	−	4.91283i	−0.0661361	−	0.181707i
$732$	−1.52557	−	0.880788i	−0.0563867	−	0.0325549i
$733$	−3.74508	+	42.8064i	−0.138328	+	1.58109i	0.537005	+	0.843579i	$0.319555\pi$
$733$	−3.74508	+	42.8064i	−0.138328	+	1.58109i	−0.675333	+	0.737513i	$0.736000\pi$
$734$	21.7475	+	21.7475i	0.802716	+	0.802716i
$735$	−12.3634	+	21.5133i	−0.456031	+	0.793531i
$736$	7.23771	+	2.63431i	0.266785	+	0.0971020i
$737$	−27.5964	−	19.3232i	−1.01653	−	0.711779i
$738$	−7.13822	−	1.25866i	−0.262762	−	0.0463320i
$739$	−6.93311			−0.255038			−0.127519	−	0.991836i	$-0.540701\pi$
$739$	−6.93311			−0.255038			−0.127519	+	0.991836i	$0.540701\pi$
$740$	−13.2653	+	3.00529i	−0.487642	+	0.110477i
$741$	−72.1066			−2.64890
$742$	−14.2893	−	2.51958i	−0.524575	−	0.0924968i
$743$	0.335617	+	0.235002i	0.0123126	+	0.00862138i	0.579717	−	0.814818i	$-0.303163\pi$
$743$	0.335617	+	0.235002i	0.0123126	+	0.00862138i	−0.567404	+	0.823440i	$0.692052\pi$
$744$	−22.2654	−	8.10393i	−0.816288	−	0.297105i
$745$	−23.8389	+	6.43877i	−0.873391	+	0.235898i
$746$	11.1522	+	11.1522i	0.408309	+	0.408309i
$747$	4.56731	−	52.2046i	0.167109	−	1.91007i
$748$	−2.35267	−	1.35831i	−0.0860220	−	0.0496648i
$749$	2.32314	+	6.38277i	0.0848857	+	0.233222i
$750$	0.168515	+	28.0737i	0.00615331	+	1.02511i
$751$	−33.2186	−	19.1788i	−1.21216	−	0.699843i	−0.248933	−	0.968521i	$-0.580080\pi$
$751$	−33.2186	−	19.1788i	−1.21216	−	0.699843i	−0.963230	+	0.268678i	$0.913413\pi$
$752$	1.85570	+	2.65022i	0.0676705	+	0.0966434i
$753$	10.1098	−	27.7764i	0.368421	−	1.01223i
$754$	−0.115586	+	0.431371i	−0.00420938	+	0.0157096i
$755$	21.4358	+	45.7301i	0.780128	+	1.66429i
$756$	−0.943447	−	0.791646i	−0.0343128	−	0.0287919i
$757$	−21.5020	+	7.82610i	−0.781505	+	0.284444i	−0.701800	−	0.712374i	$-0.747620\pi$
$757$	−21.5020	+	7.82610i	−0.781505	+	0.284444i	−0.0797046	+	0.996819i	$0.525398\pi$
$758$	4.99452	+	28.3253i	0.181409	+	1.02882i
$759$	−56.1336	−	39.3052i	−2.03752	−	1.42669i
$760$	−10.2428	+	8.62975i	−0.371547	+	0.313034i
$761$	6.13090	−	7.30652i	0.222245	−	0.264861i	−0.643388	−	0.765540i	$-0.722472\pi$
$761$	6.13090	−	7.30652i	0.222245	−	0.264861i	0.865633	+	0.500679i	$0.166916\pi$
$762$	−16.0537	−	13.4706i	−0.581564	−	0.487990i
$763$	11.1992	−	6.46585i	0.405437	−	0.234079i
$764$	5.20605	+	11.1644i	0.188348	+	0.403914i
$765$	3.24103	−	4.64844i	0.117180	−	0.168065i
$766$	−9.09502	+	15.7530i	−0.328616	+	0.569180i
$767$	−1.66006	+	6.19542i	−0.0599412	+	0.223704i
$768$	1.06121	−	2.27577i	0.0382931	−	0.0821198i
$769$	50.1905	−	13.4485i	1.80991	−	0.484965i	0.814462	−	0.580217i	$-0.197032\pi$
$769$	50.1905	−	13.4485i	1.80991	−	0.484965i	0.995453	+	0.0952522i	$0.0303657\pi$
$770$	−11.0354	−	6.34188i	−0.397688	−	0.228546i
$771$	48.3181	−	48.3181i	1.74013	−	1.74013i
$772$	3.17018	+	3.77808i	0.114097	+	0.135976i
$773$	−7.90039	−	16.9424i	−0.284157	−	0.609377i	0.711478	−	0.702708i	$-0.248026\pi$
$773$	−7.90039	−	16.9424i	−0.284157	−	0.609377i	−0.995635	+	0.0933314i	$0.970248\pi$
$774$	−22.1957	+	3.91370i	−0.797808	+	0.140675i
$775$	12.0287	−	45.6212i	0.432084	−	1.63876i
$776$		−	2.32834i		−	0.0835825i
$777$	22.6945	+	9.33067i	0.814162	+	0.334736i
$778$	20.5895	+	20.5895i	0.738170	+	0.738170i
$779$	10.7598	−	7.53410i	0.385510	−	0.269937i
$780$	13.5058	+	23.2850i	0.483584	+	0.833735i
$781$	−10.4481	+	28.7060i	−0.373863	+	1.02718i
$782$	4.52386	−	3.79597i	0.161773	−	0.135743i
$783$		−	0.0714134i		−	0.00255211i
$784$	2.84057	+	3.38526i	0.101449	+	0.120902i
$785$	5.07306	+	0.884056i	0.181065	+	0.0315533i
$786$	20.2957	−	7.38701i	0.723922	−	0.263486i
$787$	3.74853	+	1.00442i	0.133621	+	0.0358036i	0.325010	−	0.945711i	$-0.394632\pi$
$787$	3.74853	+	1.00442i	0.133621	+	0.0358036i	−0.191389	+	0.981514i	$0.561299\pi$
$788$	2.81423	+	10.5028i	0.100253	+	0.374148i
$789$	−72.0777	−	12.7092i	−2.56603	−	0.452461i
$790$	33.4158	−	0.0668599i	1.18888	−	0.00237877i
$791$	0.251365	+	0.0673529i	0.00893750	+	0.00239479i
$792$	−7.52781	+	8.97130i	−0.267489	+	0.318781i
$793$	−0.293126	−	3.35045i	−0.0104092	−	0.118978i
$794$	−16.0749	+	34.4728i	−0.570478	+	1.22339i
$795$	−49.0106	−	13.0273i	−1.73823	−	0.462031i
$796$	−10.5180	+	15.0212i	−0.372799	+	0.532413i
$797$	−0.994380	−	2.73204i	−0.0352228	−	0.0967737i	0.920835	−	0.389953i	$-0.127509\pi$
$797$	−0.994380	−	2.73204i	−0.0352228	−	0.0967737i	−0.956057	+	0.293180i	$0.905287\pi$
$798$	24.0708	−	2.10592i	0.852098	−	0.0745489i
$799$	2.47116	−	0.216198i	0.0874233	−	0.00764855i
$800$	4.70527	+	1.69129i	0.166356	+	0.0597960i
$801$	43.6554	−	20.3568i	1.54249	−	0.719273i
$802$	5.43624	−	3.80650i	0.191960	−	0.134412i
$803$	22.7237	−	6.08878i	0.801900	−	0.214869i
$804$	−11.9377	−	20.6767i	−0.421010	−	0.729210i
$805$	21.1595	−	17.8272i	0.745774	−	0.628326i
$806$	−11.7084	−	43.6963i	−0.412410	−	1.53914i
$807$	73.7632	+	6.45345i	2.59659	+	0.227172i
$808$	1.69065			0.0594770
$809$	18.6134	+	1.62846i	0.654414	+	0.0572538i	0.409527	−	0.912298i	$-0.365694\pi$
$809$	18.6134	+	1.62846i	0.654414	+	0.0572538i	0.244887	+	0.969552i	$0.421249\pi$
$810$	12.6600	+	12.6094i	0.444826	+	0.443049i
$811$	4.29645	+	24.3664i	0.150869	+	0.855619i	0.962466	+	0.271402i	$0.0874872\pi$
$811$	4.29645	+	24.3664i	0.150869	+	0.855619i	−0.811597	+	0.584217i	$0.801402\pi$
$812$	0.0259866	−	0.147377i	0.000911951	−	0.00517193i
$813$	−49.7379	+	49.7379i	−1.74438	+	1.74438i
$814$	8.19537	−	19.9332i	0.287248	−	0.698658i
$815$	−3.22539	+	6.95315i	−0.112980	+	0.243558i
$816$	−1.10429	−	1.57709i	−0.0386579	−	0.0552093i
$817$	23.4266	−	33.4567i	0.819594	−	1.17050i
$818$	5.06909	−	2.36375i	0.177237	−	0.0826467i
$819$	2.21870	−	25.3598i	0.0775276	−	0.886145i
$820$	−4.44828	−	2.06344i	−0.155341	−	0.0720585i
$821$	−11.6291	+	9.75797i	−0.405858	+	0.340555i	−0.822753	−	0.568399i	$-0.807563\pi$
$821$	−11.6291	+	9.75797i	−0.405858	+	0.340555i	0.416895	+	0.908955i	$0.363118\pi$
$822$	14.8302	−	25.6866i	0.517262	−	0.895924i
$823$	−11.0110	−	5.13453i	−0.383820	−	0.178978i	0.221125	−	0.975246i	$-0.429027\pi$
$823$	−11.0110	−	5.13453i	−0.383820	−	0.178978i	−0.604945	+	0.796267i	$0.706805\pi$
$824$	9.06370	−	5.23293i	0.315749	−	0.182298i
$825$	−36.5418	−	25.3695i	−1.27222	−	0.883253i
$826$	0.373224	−	2.11666i	0.0129861	−	0.0736479i
$827$	5.66513	+	2.06194i	0.196996	+	0.0717007i	0.438634	−	0.898666i	$-0.355462\pi$
$827$	5.66513	+	2.06194i	0.196996	+	0.0717007i	−0.241638	+	0.970366i	$0.577685\pi$
$828$	−12.7291	−	22.0474i	−0.442365	−	0.766199i
$829$	−1.64207	−	18.7689i	−0.0570313	−	0.651871i	−0.969882	−	0.243577i	$-0.921679\pi$
$829$	−1.64207	−	18.7689i	−0.0570313	−	0.651871i	0.912850	−	0.408294i	$-0.133876\pi$
$830$	12.0586	−	33.3380i	0.418559	−	1.15718i
$831$	42.7290	+	19.9248i	1.48225	+	0.691185i
$832$	4.72129	−	0.832492i	0.163681	−	0.0288615i
$833$	3.33679	−	0.588367i	0.115613	−	0.0203857i
$834$	10.3953	+	4.84739i	0.359959	+	0.167851i
$835$	11.7374	−	5.50184i	0.406188	−	0.190399i
$836$	−1.84969	−	21.1420i	−0.0639728	−	0.731213i
$837$	3.61695	+	6.26475i	0.125020	+	0.216541i
$838$	−27.7572	−	10.1028i	−0.958856	−	0.348995i
$839$	−5.04382	+	28.6049i	−0.174132	+	0.987552i	0.765009	+	0.644020i	$0.222735\pi$
$839$	−5.04382	+	28.6049i	−0.174132	+	0.987552i	−0.939141	+	0.343532i	$0.888377\pi$
$840$	−5.18859	−	7.37861i	−0.179023	−	0.254586i
$841$	−25.1072	+	14.4957i	−0.865766	+	0.499850i
$842$	31.0056	+	14.4581i	1.06852	+	0.498260i
$843$	1.67330	−	2.89825i	0.0576316	−	0.0998209i
$844$	15.2263	−	12.7764i	0.524110	−	0.439780i
$845$	−9.39410	+	20.2514i	−0.323167	+	0.696669i
$846$	0.932017	−	10.6530i	0.0320434	−	0.366258i
$847$	2.26254	−	1.05504i	0.0777417	−	0.0362515i
$848$	−5.18046	+	7.39846i	−0.177898	+	0.254064i
$849$	29.8826	+	42.6767i	1.02557	+	1.46466i
$850$	2.92684	−	2.47594i	0.100390	−	0.0849240i
$851$	34.6249	+	31.5611i	1.18693	+	1.08190i
$852$	−15.3086	+	15.3086i	−0.524463	+	0.524463i
$853$	7.99403	−	45.3364i	0.273710	−	1.55229i	−0.469318	−	0.883029i	$-0.655500\pi$
$853$	7.99403	−	45.3364i	0.273710	−	1.55229i	0.743028	−	0.669260i	$-0.233389\pi$
$854$	0.195704	+	1.10989i	0.00669687	+	0.0379798i
$855$	44.2698	−	0.0885770i	1.51400	−	0.00302927i
$856$	4.21198	+	0.368501i	0.143963	+	0.0125951i
$857$	−5.58369			−0.190735			−0.0953677	−	0.995442i	$-0.530403\pi$
$857$	−5.58369			−0.190735			−0.0953677	+	0.995442i	$0.530403\pi$
$858$	−42.4910	−	3.71748i	−1.45062	−	0.126913i
$859$	6.47211	+	24.1542i	0.220825	+	0.824132i	0.984034	+	0.177980i	$0.0569561\pi$
$859$	6.47211	+	24.1542i	0.220825	+	0.824132i	−0.763209	+	0.646152i	$0.776377\pi$
$860$	−15.1918	−	1.29849i	−0.518038	−	0.0442781i
$861$	4.42315	+	7.66113i	0.150741	+	0.261090i
$862$	10.5613	−	2.82988i	0.359718	−	0.0963861i
$863$	−13.3941	+	9.37865i	−0.455940	+	0.319253i	−0.778887	−	0.627164i	$-0.784215\pi$
$863$	−13.3941	+	9.37865i	−0.455940	+	0.319253i	0.322947	+	0.946417i	$0.395327\pi$
$864$	−0.694796	+	0.323989i	−0.0236374	+	0.0110223i
$865$	−24.4760	+	29.2882i	−0.832208	+	0.995827i
$866$	−38.0301	+	3.32720i	−1.29232	+	0.113063i
$867$	41.0546	−	3.59182i	1.39429	−	0.121984i
$868$	5.18471	+	14.2449i	0.175981	+	0.483502i
$869$	−30.3704	+	43.3734i	−1.03024	+	1.47134i
$870$	0.134362	−	0.505489i	0.00455529	−	0.0171377i
$871$	19.2644	−	41.3126i	0.652749	−	1.39982i
$872$	−0.701568	−	8.01896i	−0.0237581	−	0.271556i
$873$	−4.94680	+	5.89537i	−0.167424	+	0.199528i
$874$	44.5627	+	11.9405i	1.50736	+	0.403895i
$875$	13.6896	−	11.6277i	0.462792	−	0.393086i
$876$	16.4191	+	2.89512i	0.554749	+	0.0978172i
$877$	0.0212649	+	0.0793615i	0.000718063	+	0.00267985i	0.966284	−	0.257479i	$-0.0828918\pi$
$877$	0.0212649	+	0.0793615i	0.000718063	+	0.00267985i	−0.965566	+	0.260159i	$0.916225\pi$
$878$	−8.18443	−	2.19301i	−0.276211	−	0.0740105i
$879$	−60.9128	+	22.1705i	−2.05454	+	0.747791i
$880$	−6.48082	+	4.55727i	−0.218468	+	0.153626i
$881$	20.3579	+	24.2616i	0.685876	+	0.817396i	0.990850	−	0.134965i	$-0.0430922\pi$
$881$	20.3579	+	24.2616i	0.685876	+	0.817396i	−0.304974	+	0.952361i	$0.598648\pi$
$882$		−	14.6066i		−	0.491830i
$883$	20.6318	−	17.3121i	0.694316	−	0.582600i	−0.225835	−	0.974166i	$-0.572511\pi$
$883$	20.6318	−	17.3121i	0.694316	−	0.582600i	0.920150	+	0.391566i	$0.128066\pi$
$884$	1.25719	−	3.45410i	0.0422839	−	0.116174i
$885$	1.92973	−	7.25991i	0.0648670	−	0.244039i
$886$	5.65268	−	3.95805i	0.189906	−	0.132973i
$887$	4.59345	+	4.59345i	0.154233	+	0.154233i	0.780006	−	0.625773i	$-0.215216\pi$
$887$	4.59345	+	4.59345i	0.154233	+	0.154233i	−0.625773	+	0.780006i	$0.715216\pi$
$888$	11.2341	−	10.3485i	0.376991	−	0.347273i
$889$			13.4076i			0.449675i
$890$	32.0799	−	5.72276i	1.07532	−	0.191827i
$891$	−27.8828	+	4.91649i	−0.934110	+	0.164709i
$892$	−4.59512	−	9.85426i	−0.153856	−	0.329945i
$893$	12.4565	+	14.8451i	0.416841	+	0.496772i
$894$	19.6078	−	19.6078i	0.655784	−	0.655784i
$895$	−5.03603	+	8.76311i	−0.168336	+	0.292918i
$896$	−1.55176	+	0.415794i	−0.0518408	+	0.0138907i
$897$	39.1856	−	84.0337i	1.30837	−	2.80580i
$898$	−2.79414	+	10.4279i	−0.0932416	+	0.347982i
$899$	−0.439500	+	0.761237i	−0.0146582	+	0.0253887i
$900$	−8.32046	−	14.2792i	−0.277349	−	0.475973i
$901$	2.92661	+	6.27613i	0.0974994	+	0.209088i
$902$	6.72897	−	3.88497i	0.224050	−	0.129355i
$903$	21.0715	+	17.6811i	0.701214	+	0.588389i
$904$	0.104123	−	0.124089i	0.00346308	−	0.00412713i
$905$	−1.23526	+	14.4521i	−0.0410615	+	0.480404i
$906$	−46.4585	−	32.5306i	−1.54348	−	1.08076i
$907$	−6.39919	−	36.2916i	−0.212482	−	1.20504i	−0.885224	−	0.465166i	$-0.845995\pi$
$907$	−6.39919	−	36.2916i	−0.212482	−	1.20504i	0.672742	−	0.739877i	$-0.265116\pi$
$908$	14.9912	−	5.45635i	0.497500	−	0.181075i
$909$	−4.28075	−	3.59197i	−0.141983	−	0.119138i
$910$	5.85778	−	16.1949i	0.194184	−	0.536855i
$911$	10.8767	−	40.5925i	0.360362	−	1.34489i	−0.513238	−	0.858246i	$-0.671554\pi$
$911$	10.8767	−	40.5925i	0.360362	−	1.34489i	0.873600	−	0.486644i	$-0.161779\pi$
$912$	5.14419	−	14.1335i	0.170341	−	0.468008i
$913$	32.2207	+	46.0159i	1.06635	+	1.52291i
$914$	−9.69949	−	5.60000i	−0.320831	−	0.185232i
$915$	0.351158	+	3.92332i	0.0116089	+	0.129701i
$916$	−1.28763	−	3.53774i	−0.0425446	−	0.116890i
$917$	−11.9668	−	6.90901i	−0.395177	−	0.228156i
$918$	−0.0512292	+	0.585552i	−0.00169081	+	0.0193261i
$919$	−14.6662	−	14.6662i	−0.483794	−	0.483794i	0.422547	−	0.906341i	$-0.361136\pi$
$919$	−14.6662	−	14.6662i	−0.483794	−	0.483794i	−0.906341	+	0.422547i	$0.861136\pi$
$920$	−4.49083	−	16.6269i	−0.148058	−	0.548171i
$921$	3.44580	+	1.25417i	0.113543	+	0.0413262i
$922$	−20.1157	−	14.0852i	−0.662475	−	0.463870i
$923$	−40.7059	−	7.17755i	−1.33985	−	0.236252i
$924$	14.2930			0.470207
$925$	22.5591	+	20.3982i	0.741738	+	0.670690i
$926$	10.7112			0.351990
$927$	−34.0673	−	6.00698i	−1.11892	−	0.197295i
$928$	−0.0763067	−	0.0534305i	−0.00250489	−	0.00175394i
$929$	12.1322	+	4.41576i	0.398045	+	0.144876i	0.533283	−	0.845937i	$-0.320958\pi$
$929$	12.1322	+	4.41576i	0.398045	+	0.144876i	−0.135239	+	0.990813i	$0.543180\pi$
$930$	13.8151	+	51.1492i	0.453016	+	1.67725i
$931$	18.7170	+	18.7170i	0.613424	+	0.613424i
$932$	0.241679	−	2.76241i	0.00791646	−	0.0904856i
$933$	−26.8585	−	15.5068i	−0.879307	−	0.507668i
$934$	−12.3863	−	34.0311i	−0.405293	−	1.11353i
$935$	0.541540	+	6.05037i	0.0177102	+	0.197868i
$936$	−13.7231	−	7.92302i	−0.448553	−	0.258972i
$937$	10.1859	+	14.5470i	0.332760	+	0.475230i	0.950312	−	0.311300i	$-0.100764\pi$
$937$	10.1859	+	14.5470i	0.332760	+	0.475230i	−0.617552	+	0.786530i	$0.711875\pi$
$938$	−5.22433	+	14.3537i	−0.170580	+	0.468666i
$939$	0.304926	−	1.13800i	0.00995087	−	0.0371372i
$940$	2.46070	−	6.80304i	0.0802592	−	0.221891i
$941$	−33.1850	−	27.8455i	−1.08180	−	0.907738i	−0.0857315	−	0.996318i	$-0.527323\pi$
$941$	−33.1850	−	27.8455i	−1.08180	−	0.907738i	−0.996069	+	0.0885798i	$0.971767\pi$
$942$	−5.43401	+	1.97782i	−0.177050	+	0.0644408i
$943$	2.93301	+	16.6339i	0.0955118	+	0.541674i
$944$	−1.09593	−	0.767377i	−0.0356694	−	0.0249760i
$945$	−0.234529	+	2.74390i	−0.00762922	+	0.0892590i
$946$	15.5297	−	18.5076i	0.504915	−	0.601734i
$947$	−16.2558	−	13.6402i	−0.528243	−	0.443248i	0.339251	−	0.940696i	$-0.389826\pi$
$947$	−16.2558	−	13.6402i	−0.528243	−	0.443248i	−0.867494	+	0.497447i	$0.834271\pi$
$948$	−32.4976	+	18.7625i	−1.05547	+	0.609379i
$949$	13.4525	+	28.8489i	0.436686	+	0.936475i
$950$	28.9593	+	7.63555i	0.939564	+	0.247730i
$951$	−3.05370	+	5.28916i	−0.0990230	+	0.171513i
$952$	−0.318799	+	1.18978i	−0.0103323	+	0.0385608i
$953$	3.36389	−	7.21388i	0.108967	−	0.233680i	−0.844261	−	0.535932i	$-0.819960\pi$
$953$	3.36389	−	7.21388i	0.108967	−	0.233680i	0.953228	+	0.302251i	$0.0977382\pi$
$954$	28.8358	−	7.72652i	0.933592	−	0.250155i
$955$	13.7248	−	23.8823i	0.444125	−	0.772814i
$956$	−3.80389	+	3.80389i	−0.123027	+	0.123027i
$957$	0.532732	+	0.634885i	0.0172208	+	0.0205229i
$958$	−12.6830	−	27.1988i	−0.409769	−	0.878753i
$959$	−18.6877	+	3.29515i	−0.603458	+	0.106406i
$960$	−5.52758	+	0.986070i	−0.178402	+	0.0318253i
$961$		−	58.0394i		−	1.87224i
$962$	28.4868	+	6.23696i	0.918450	+	0.201088i
$963$	−9.88185	−	9.88185i	−0.318438	−	0.318438i
$964$	7.62803	−	5.34121i	0.245682	−	0.172029i
$965$	2.83297	−	10.6580i	0.0911965	−	0.343095i
$966$	−10.6268	+	29.1968i	−0.341911	+	0.939392i
$967$	11.4104	−	9.57450i	0.366935	−	0.307895i	−0.440613	−	0.897697i	$-0.645239\pi$
$967$	11.4104	−	9.57450i	0.366935	−	0.307895i	0.807548	+	0.589802i	$0.200794\pi$
$968$		−	1.55395i		−	0.0499460i
$969$	−7.41263	−	8.83403i	−0.238128	−	0.283790i
$970$	−4.25879	+	2.99475i	−0.136741	+	0.0961557i
$971$	−28.3817	+	10.3301i	−0.910812	+	0.331508i	−0.754577	−	0.656211i	$-0.772158\pi$
$971$	−28.3817	+	10.3301i	−0.910812	+	0.331508i	−0.156235	+	0.987720i	$0.549936\pi$
$972$	−21.6032	−	5.78856i	−0.692923	−	0.185668i
$973$	−1.89926	−	7.08814i	−0.0608875	−	0.227235i
$974$	−10.1914	−	1.79701i	−0.326553	−	0.0575800i
$975$	25.2194	−	54.6531i	0.807666	−	1.75030i
$976$	0.677630	+	0.181570i	0.0216904	+	0.00581193i
$977$	20.1919	−	24.0638i	0.645996	−	0.769868i	−0.339309	−	0.940675i	$-0.610193\pi$
$977$	20.1919	−	24.0638i	0.645996	−	0.769868i	0.985304	+	0.170807i	$0.0546375\pi$
$978$	−0.750181	−	8.57461i	−0.0239881	−	0.274186i
$979$	−21.8217	+	46.7969i	−0.697426	+	1.49563i
$980$	2.53842	−	9.54991i	0.0810869	−	0.305061i
$981$	−15.2608	+	21.7946i	−0.487239	+	0.695849i
$982$	4.04454	+	11.1123i	0.129066	+	0.354607i
$983$	8.36046	−	0.731446i	0.266657	−	0.0233295i	0.0469570	−	0.998897i	$-0.485048\pi$
$983$	8.36046	−	0.731446i	0.266657	−	0.0233295i	0.219700	+	0.975567i	$0.429492\pi$
$984$	5.48561	−	0.479928i	0.174875	−	0.0152996i
$985$	15.5911	−	18.6565i	0.496775	−	0.594445i
$986$	−0.0647311	+	0.0301846i	−0.00206146	+	0.000961274i
$987$	−10.6909	+	7.48588i	−0.340296	+	0.238278i
$988$	27.7374	−	7.43221i	0.882444	−	0.236450i
$989$	26.2598	+	45.4833i	0.835013	+	1.44628i
$990$	26.0919	+	2.23015i	0.829255	+	0.0708788i
$991$	−6.54934	−	24.4425i	−0.208047	−	0.776441i	−0.988499	−	0.151226i	$-0.951678\pi$
$991$	−6.54934	−	24.4425i	−0.208047	−	0.776441i	0.780453	−	0.625215i	$-0.214989\pi$
$992$	9.40016	+	0.822408i	0.298455	+	0.0261115i
$993$	−81.5918			−2.58924
$994$	13.7982	+	1.20719i	0.437652	+	0.0382896i
$995$	41.0038	−	0.0820423i	1.29991	−	0.00260092i
$996$	6.91316	+	39.2065i	0.219052	+	1.24230i
$997$	6.25603	−	35.4797i	0.198131	−	1.12365i	−0.709759	−	0.704445i	$-0.751196\pi$
$997$	6.25603	−	35.4797i	0.198131	−	1.12365i	0.907889	−	0.419210i	$-0.137693\pi$
$998$	−15.7736	+	15.7736i	−0.499305	+	0.499305i
$999$	−4.65820	+	0.215633i	−0.147379	+	0.00682232i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.bd.a.13.2	yes	108
5.2	odd	4		370.2.ba.a.87.2	✓	108
37.20	odd	36		370.2.ba.a.353.2	yes	108
185.57	even	36	inner	370.2.bd.a.57.2	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.ba.a.87.2	✓	108	5.2	odd	4
370.2.ba.a.353.2	yes	108	37.20	odd	36
370.2.bd.a.13.2	yes	108	1.1	even	1	trivial
370.2.bd.a.57.2	yes	108	185.57	even	36	inner

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Elliptic curves over $\Q$
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Higher genus families
Abelian varieties over $\F_{q}$
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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	370.2.bd.a.13.2

Level	$370$
Weight	$2$
Character	370.13
Analytic conductor	$2.954$
Analytic rank	$0$
Dimension	$108$
Inner twists	$2$