LMFDB - Embedded newform 334.2.c.a.107.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [334,2,Mod(3,334)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(334, base_ring=CyclotomicField(166))

chi = DirichletCharacter(H, H._module([94]))

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

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

chi := DirichletCharacter("334.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$334 = 2 \cdot 167$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	334.c (of order $83$ , degree $82$ , minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.66700342751$
Analytic rank:	$0$
Dimension:	$574$
Relative dimension:	$7$ over $\Q(\zeta_{83})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{83}]$

Embedding invariants

Embedding label			107.6
Character	$\chi$	$=$	334.107
Dual form			334.2.c.a.231.6

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.862854 + 0.505453i) q^{2} +(1.61047 + 0.503128i) q^{3} +(0.489034 + 0.872265i) q^{4} +(-0.415317 + 2.41472i) q^{5} +(1.13529 + 1.24814i) q^{6} +(-0.738339 - 2.21517i) q^{7} +(-0.0189241 + 0.999821i) q^{8} +(-0.126006 - 0.0872466i) q^{9} +(-1.57889 + 1.87363i) q^{10} +(-0.178317 + 3.13734i) q^{11} +(0.348712 + 1.65080i) q^{12} +(6.00912 + 1.63047i) q^{13} +(0.482588 - 2.28457i) q^{14} +(-1.88377 + 3.67987i) q^{15} +(-0.521692 + 0.853134i) q^{16} +(-2.32720 - 5.54402i) q^{17} +(-0.0646255 - 0.138971i) q^{18} +(-0.603442 - 0.294632i) q^{19} +(-2.30938 + 0.818614i) q^{20} +(-0.0745543 - 3.93894i) q^{21} +(-1.73964 + 2.61694i) q^{22} +(1.50591 - 0.665924i) q^{23} +(-0.533514 + 1.60066i) q^{24} +(-0.945707 - 0.335228i) q^{25} +(4.36086 + 4.44418i) q^{26} +(-3.27196 - 4.19519i) q^{27} +(1.57114 - 1.72732i) q^{28} +(-9.57511 - 4.23419i) q^{29} +(-3.48542 + 2.22303i) q^{30} +(0.293293 - 0.116637i) q^{31} +(-0.881363 + 0.472440i) q^{32} +(-1.86566 + 4.96287i) q^{33} +(0.794210 - 5.95997i) q^{34} +(5.65567 - 0.862883i) q^{35} +(0.0144810 - 0.152577i) q^{36} +(9.42666 - 6.52703i) q^{37} +(-0.371759 - 0.559236i) q^{38} +(8.85714 + 5.64917i) q^{39} +(-2.40643 - 0.460939i) q^{40} +(-2.65254 + 2.50605i) q^{41} +(1.92662 - 3.43641i) q^{42} +(7.74092 + 6.27657i) q^{43} +(-2.82380 + 1.37873i) q^{44} +(0.263008 - 0.268034i) q^{45} +(1.63597 + 0.186569i) q^{46} +(-5.86309 - 3.14281i) q^{47} +(-1.26940 + 1.11147i) q^{48} +(1.23833 - 0.928668i) q^{49} +(-0.646565 - 0.767264i) q^{50} +(-0.958525 - 10.0993i) q^{51} +(1.51646 + 6.03889i) q^{52} +(-1.35370 - 4.63979i) q^{53} +(-0.702753 - 5.27365i) q^{54} +(-7.50175 - 1.73358i) q^{55} +(2.22875 - 0.696286i) q^{56} +(-0.823584 - 0.778103i) q^{57} +(-6.12173 - 8.49326i) q^{58} +(0.835171 - 1.98960i) q^{59} +(-4.13104 + 0.156437i) q^{60} +(-1.37021 + 5.45650i) q^{61} +(0.312024 + 0.0476053i) q^{62} +(-0.100231 + 0.343542i) q^{63} +(-0.999284 - 0.0378415i) q^{64} +(-6.43282 + 13.8332i) q^{65} +(-4.11829 + 3.33923i) q^{66} +(1.48276 + 8.62102i) q^{67} +(3.69777 - 4.74115i) q^{68} +(2.76025 - 0.314785i) q^{69} +(5.31616 + 2.11413i) q^{70} +(-4.30129 + 0.823889i) q^{71} +(0.0896155 - 0.124332i) q^{72} +(-3.73389 - 6.10612i) q^{73} +(11.4329 - 0.867142i) q^{74} +(-1.35437 - 1.01569i) q^{75} +(-0.0381060 - 0.670446i) q^{76} +(7.08141 - 1.92142i) q^{77} +(4.78703 + 9.35128i) q^{78} +(-16.5810 - 1.25760i) q^{79} +(-1.84341 - 1.61406i) q^{80} +(-2.99687 - 7.97203i) q^{81} +(-3.55544 + 0.821626i) q^{82} +(4.13942 - 2.42484i) q^{83} +(3.39934 - 1.99131i) q^{84} +(14.3538 - 3.31701i) q^{85} +(3.50678 + 9.32843i) q^{86} +(-13.2900 - 11.6365i) q^{87} +(-3.13341 - 0.237656i) q^{88} +(5.15810 + 10.0762i) q^{89} +(0.362416 - 0.0983354i) q^{90} +(-0.824991 - 14.5151i) q^{91} +(1.31730 + 0.987889i) q^{92} +(0.531022 - 0.0402759i) q^{93} +(-3.47045 - 5.67531i) q^{94} +(0.962074 - 1.33478i) q^{95} +(-1.65710 + 0.317409i) q^{96} +(10.4455 + 4.15397i) q^{97} +(1.53790 - 0.175385i) q^{98} +(0.296191 - 0.379766i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$574 q - 7 q^{2} - 2 q^{3} - 7 q^{4} - 2 q^{5} - 2 q^{6} - 6 q^{7} - 7 q^{8} - 17 q^{9} - 2 q^{10} - 10 q^{11} - 2 q^{12} - 16 q^{13} - 6 q^{14} - 24 q^{15} - 7 q^{16} - 20 q^{17} - 17 q^{18} - 16 q^{19}+ \cdots - 152 q^{99}+O(q^{100})$ 574 * q - 7 * q^2 - 2 * q^3 - 7 * q^4 - 2 * q^5 - 2 * q^6 - 6 * q^7 - 7 * q^8 - 17 * q^9 - 2 * q^10 - 10 * q^11 - 2 * q^12 - 16 * q^13 - 6 * q^14 - 24 * q^15 - 7 * q^16 - 20 * q^17 - 17 * q^18 - 16 * q^19 - 2 * q^20 - 42 * q^21 - 10 * q^22 - 30 * q^23 - 2 * q^24 + 135 * q^25 - 16 * q^26 - 32 * q^27 - 6 * q^28 - 14 * q^29 - 24 * q^30 - 30 * q^31 - 7 * q^32 - 44 * q^33 - 20 * q^34 - 60 * q^35 - 17 * q^36 - 28 * q^37 + 67 * q^38 - 56 * q^39 - 2 * q^40 - 48 * q^41 - 42 * q^42 - 36 * q^43 - 10 * q^44 - 76 * q^45 - 30 * q^46 - 54 * q^47 - 2 * q^48 + 129 * q^49 - 31 * q^50 + 349 * q^51 - 16 * q^52 - 62 * q^53 - 32 * q^54 - 78 * q^55 - 6 * q^56 - 70 * q^57 - 14 * q^58 - 76 * q^59 - 24 * q^60 - 68 * q^61 - 30 * q^62 - 104 * q^63 - 7 * q^64 - 52 * q^65 - 44 * q^66 - 74 * q^67 - 20 * q^68 - 96 * q^69 - 60 * q^70 - 64 * q^71 - 17 * q^72 - 58 * q^73 - 28 * q^74 + 453 * q^75 - 16 * q^76 + 119 * q^77 - 56 * q^78 - 70 * q^79 - 2 * q^80 - 119 * q^81 - 48 * q^82 - 80 * q^83 - 42 * q^84 - 122 * q^85 - 36 * q^86 - 158 * q^87 + 156 * q^88 - 96 * q^89 + 339 * q^90 - 106 * q^91 - 30 * q^92 - 98 * q^93 - 54 * q^94 - 114 * q^95 - 2 * q^96 - 80 * q^97 - 37 * q^98 - 152 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/334\mathbb{Z}\right)^\times$ .

$n$	$5$
$\chi(n)$	$e\left(\frac{46}{83}\right)$

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

)

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

$2$	0.862854	+	0.505453i	0.610130	+	0.357409i
$2$	0.862854	+	0.505453i	0.610130	+	0.357409i
$3$	1.61047	+	0.503128i	0.929803	+	0.290481i	0.725338	−	0.688393i	$-0.241684\pi$
$3$	1.61047	+	0.503128i	0.929803	+	0.290481i	0.204465	+	0.978874i	$0.434455\pi$
$4$	0.489034	+	0.872265i	0.244517	+	0.436132i
$5$	−0.415317	+	2.41472i	−0.185735	+	1.07990i	0.731586	+	0.681749i	$0.238780\pi$
$5$	−0.415317	+	2.41472i	−0.185735	+	1.07990i	−0.917322	+	0.398147i	$0.869653\pi$
$6$	1.13529	+	1.24814i	0.463480	+	0.509551i
$7$	−0.738339	−	2.21517i	−0.279066	−	0.837256i	−0.990863	−	0.134871i	$-0.956938\pi$
$7$	−0.738339	−	2.21517i	−0.279066	−	0.837256i	0.711797	−	0.702385i	$-0.247881\pi$
$8$	−0.0189241	+	0.999821i	−0.00669069	+	0.353490i
$9$	−0.126006	−	0.0872466i	−0.0420019	−	0.0290822i
$10$	−1.57889	+	1.87363i	−0.499288	+	0.592493i
$11$	−0.178317	+	3.13734i	−0.0537645	+	0.945944i	0.852366	+	0.522946i	$0.175167\pi$
$11$	−0.178317	+	3.13734i	−0.0537645	+	0.945944i	−0.906130	+	0.422998i	$0.860978\pi$
$12$	0.348712	+	1.65080i	0.100664	+	0.476545i
$13$	6.00912	+	1.63047i	1.66663	+	0.452211i	0.965410	−	0.260735i	$-0.0839650\pi$
$13$	6.00912	+	1.63047i	1.66663	+	0.452211i	0.701219	+	0.712946i	$0.252640\pi$
$14$	0.482588	−	2.28457i	0.128977	−	0.610576i
$15$	−1.88377	+	3.67987i	−0.486387	+	0.950138i
$16$	−0.521692	+	0.853134i	−0.130423	+	0.213284i
$17$	−2.32720	−	5.54402i	−0.564429	−	1.34462i	−0.913237	−	0.407429i	$-0.866425\pi$
$17$	−2.32720	−	5.54402i	−0.564429	−	1.34462i	0.348808	−	0.937194i	$-0.386587\pi$
$18$	−0.0646255	−	0.138971i	−0.0152324	−	0.0327558i
$19$	−0.603442	−	0.294632i	−0.138439	−	0.0675933i	0.368226	−	0.929736i	$-0.379965\pi$
$19$	−0.603442	−	0.294632i	−0.138439	−	0.0675933i	−0.506665	+	0.862143i	$0.669122\pi$
$20$	−2.30938	+	0.818614i	−0.516393	+	0.183048i
$21$	−0.0745543	−	3.93894i	−0.0162691	−	0.859547i
$22$	−1.73964	+	2.61694i	−0.370893	+	0.557933i
$23$	1.50591	−	0.665924i	0.314003	−	0.138855i	−0.241425	−	0.970420i	$-0.577615\pi$
$23$	1.50591	−	0.665924i	0.314003	−	0.138855i	0.555428	+	0.831565i	$0.312555\pi$
$24$	−0.533514	+	1.60066i	−0.108903	+	0.326733i
$25$	−0.945707	−	0.335228i	−0.189141	−	0.0670457i
$26$	4.36086	+	4.44418i	0.855236	+	0.871576i
$27$	−3.27196	−	4.19519i	−0.629689	−	0.807364i
$28$	1.57114	−	1.72732i	0.296918	−	0.326433i
$29$	−9.57511	−	4.23419i	−1.77805	−	0.786270i	−0.983940	−	0.178500i	$-0.942876\pi$
$29$	−9.57511	−	4.23419i	−1.77805	−	0.786270i	−0.794113	−	0.607770i	$-0.792064\pi$
$30$	−3.48542	+	2.22303i	−0.636347	+	0.405868i
$31$	0.293293	−	0.116637i	0.0526770	−	0.0209486i	−0.343045	−	0.939319i	$-0.611458\pi$
$31$	0.293293	−	0.116637i	0.0526770	−	0.0209486i	0.395722	+	0.918370i	$0.370494\pi$
$32$	−0.881363	+	0.472440i	−0.155804	+	0.0835163i
$33$	−1.86566	+	4.96287i	−0.324769	+	0.863924i
$34$	0.794210	−	5.95997i	0.136206	−	1.02213i
$35$	5.65567	−	0.862883i	0.955982	−	0.145854i
$36$	0.0144810	−	0.152577i	0.00241351	−	0.0254295i
$37$	9.42666	−	6.52703i	1.54973	−	1.07304i	0.584585	−	0.811332i	$-0.301257\pi$
$37$	9.42666	−	6.52703i	1.54973	−	1.07304i	0.965148	−	0.261706i	$-0.0842849\pi$
$38$	−0.371759	−	0.559236i	−0.0603073	−	0.0907201i
$39$	8.85714	+	5.64917i	1.41828	+	0.904591i
$40$	−2.40643	−	0.460939i	−0.380490	−	0.0728809i
$41$	−2.65254	+	2.50605i	−0.414256	+	0.391380i	−0.865408	−	0.501067i	$-0.832941\pi$
$41$	−2.65254	+	2.50605i	−0.414256	+	0.391380i	0.451152	+	0.892447i	$0.351013\pi$
$42$	1.92662	−	3.43641i	0.297284	−	0.530250i
$43$	7.74092	+	6.27657i	1.18048	+	0.957167i	0.999653	−	0.0263477i	$-0.00838771\pi$
$43$	7.74092	+	6.27657i	1.18048	+	0.957167i	0.180827	+	0.983515i	$0.442123\pi$
$44$	−2.82380	+	1.37873i	−0.425703	+	0.207851i
$45$	0.263008	−	0.268034i	0.0392070	−	0.0399561i
$46$	1.63597	+	0.186569i	0.241211	+	0.0275082i
$47$	−5.86309	−	3.14281i	−0.855220	−	0.458426i	−0.0144994	−	0.999895i	$-0.504615\pi$
$47$	−5.86309	−	3.14281i	−0.855220	−	0.458426i	−0.840721	+	0.541469i	$0.817868\pi$
$48$	−1.26940	+	1.11147i	−0.183222	+	0.160426i
$49$	1.23833	−	0.928668i	0.176905	−	0.132667i
$50$	−0.646565	−	0.767264i	−0.0914381	−	0.108508i
$51$	−0.958525	−	10.0993i	−0.134220	−	1.41419i
$52$	1.51646	+	6.03889i	0.210295	+	0.837444i
$53$	−1.35370	−	4.63979i	−0.185945	−	0.637325i	−0.998516	−	0.0544622i	$-0.982656\pi$
$53$	−1.35370	−	4.63979i	−0.185945	−	0.637325i	0.812571	−	0.582862i	$-0.198067\pi$
$54$	−0.702753	−	5.27365i	−0.0956325	−	0.717653i
$55$	−7.50175	−	1.73358i	−1.01154	−	0.233755i
$56$	2.22875	−	0.696286i	0.297829	−	0.0930452i
$57$	−0.823584	−	0.778103i	−0.109086	−	0.103062i
$58$	−6.12173	−	8.49326i	−0.803823	−	1.11522i
$59$	0.835171	−	1.98960i	0.108730	−	0.259024i	−0.858553	−	0.512725i	$-0.828636\pi$
$59$	0.835171	−	1.98960i	0.108730	−	0.259024i	0.967283	+	0.253701i	$0.0816479\pi$
$60$	−4.13104	+	0.156437i	−0.533316	+	0.0201959i
$61$	−1.37021	+	5.45650i	−0.175438	+	0.698634i	0.817079	+	0.576526i	$0.195592\pi$
$61$	−1.37021	+	5.45650i	−0.175438	+	0.698634i	−0.992517	+	0.122108i	$0.961035\pi$
$62$	0.312024	+	0.0476053i	0.0396270	+	0.00604588i
$63$	−0.100231	+	0.343542i	−0.0126280	+	0.0432822i
$64$	−0.999284	−	0.0378415i	−0.124910	−	0.00473018i
$65$	−6.43282	+	13.8332i	−0.797893	+	1.71579i
$66$	−4.11829	+	3.33923i	−0.506926	+	0.411030i
$67$	1.48276	+	8.62102i	0.181148	+	1.05323i	0.923609	+	0.383336i	$0.125225\pi$
$67$	1.48276	+	8.62102i	0.181148	+	1.05323i	−0.742461	+	0.669890i	$0.766341\pi$
$68$	3.69777	−	4.74115i	0.448421	−	0.574949i
$69$	2.76025	−	0.314785i	0.332296	−	0.0378957i
$70$	5.31616	+	2.11413i	0.635403	+	0.252687i
$71$	−4.30129	+	0.823889i	−0.510469	+	0.0977777i	−0.436896	−	0.899512i	$-0.643922\pi$
$71$	−4.30129	+	0.823889i	−0.510469	+	0.0977777i	−0.0735731	+	0.997290i	$0.523440\pi$
$72$	0.0896155	−	0.124332i	0.0105613	−	0.0146527i
$73$	−3.73389	−	6.10612i	−0.437019	−	0.714667i	0.556185	−	0.831059i	$-0.312265\pi$
$73$	−3.73389	−	6.10612i	−0.437019	−	0.714667i	−0.993203	+	0.116392i	$0.962867\pi$
$74$	11.4329	−	0.867142i	1.32905	−	0.100803i
$75$	−1.35437	−	1.01569i	−0.156389	−	0.117281i
$76$	−0.0381060	−	0.670446i	−0.00437106	−	0.0769054i
$77$	7.08141	−	1.92142i	0.807002	−	0.218966i
$78$	4.78703	+	9.35128i	0.542024	+	1.05882i
$79$	−16.5810	−	1.25760i	−1.86551	−	0.141491i	−0.906018	−	0.423238i	$-0.860893\pi$
$79$	−16.5810	−	1.25760i	−1.86551	−	0.141491i	−0.959489	+	0.281747i	$0.909086\pi$
$80$	−1.84341	−	1.61406i	−0.206100	−	0.180457i
$81$	−2.99687	−	7.97203i	−0.332986	−	0.885782i
$82$	−3.55544	+	0.821626i	−0.392633	+	0.0907335i
$83$	4.13942	−	2.42484i	0.454360	−	0.266161i	−0.260439	−	0.965490i	$-0.583867\pi$
$83$	4.13942	−	2.42484i	0.454360	−	0.266161i	0.714799	+	0.699330i	$0.246518\pi$
$84$	3.39934	−	1.99131i	0.370898	−	0.217269i
$85$	14.3538	−	3.31701i	1.55689	−	0.359781i
$86$	3.50678	+	9.32843i	0.378145	+	1.00591i
$87$	−13.2900	−	11.6365i	−1.42484	−	1.24757i
$88$	−3.13341	−	0.237656i	−0.334022	−	0.0253342i
$89$	5.15810	+	10.0762i	0.546758	+	1.06807i	0.985535	+	0.169474i	$0.0542070\pi$
$89$	5.15810	+	10.0762i	0.546758	+	1.06807i	−0.438777	+	0.898596i	$0.644588\pi$
$90$	0.362416	−	0.0983354i	0.0382020	−	0.0103655i
$91$	−0.824991	−	14.5151i	−0.0864825	−	1.52159i
$92$	1.31730	+	0.987889i	0.137338	+	0.102994i
$93$	0.531022	−	0.0402759i	0.0550644	−	0.00417641i
$94$	−3.47045	−	5.67531i	−0.357950	−	0.585363i
$95$	0.962074	−	1.33478i	0.0987067	−	0.136945i
$96$	−1.65710	+	0.317409i	−0.169127	+	0.0323955i
$97$	10.4455	+	4.15397i	1.06058	+	0.421771i	0.833738	−	0.552160i	$-0.186196\pi$
$97$	10.4455	+	4.15397i	1.06058	+	0.421771i	0.226841	+	0.973932i	$0.427160\pi$
$98$	1.53790	−	0.175385i	0.155351	−	0.0177166i
$99$	0.296191	−	0.379766i	0.0297683	−	0.0381679i
$100$	−0.170075	−	0.988845i	−0.0170075	−	0.0988845i
$101$	2.89876	−	2.35040i	0.288438	−	0.233874i	−0.474641	−	0.880180i	$-0.657422\pi$
$101$	2.89876	−	2.35040i	0.288438	−	0.233874i	0.763078	+	0.646306i	$0.223687\pi$
$102$	4.27768	−	9.19874i	0.423553	−	0.910811i
$103$	−15.4730	−	0.585943i	−1.52460	−	0.0577346i	−0.737835	−	0.674981i	$-0.764152\pi$
$103$	−15.4730	−	0.585943i	−1.52460	−	0.0577346i	−0.786770	+	0.617247i	$0.788248\pi$
$104$	−1.74390	+	5.97718i	−0.171003	+	0.586111i
$105$	9.54240	+	1.45588i	0.931243	+	0.142079i
$106$	1.17715	−	4.68770i	0.114335	−	0.455309i
$107$	−0.527260	+	0.0199666i	−0.0509722	+	0.00193024i	−0.0633152	−	0.997994i	$-0.520167\pi$
$107$	−0.527260	+	0.0199666i	−0.0509722	+	0.00193024i	0.0123431	+	0.999924i	$0.496071\pi$
$108$	2.05921	−	4.90560i	0.198148	−	0.472042i
$109$	−6.44082	−	8.93597i	−0.616919	−	0.855910i	0.380713	−	0.924693i	$-0.375679\pi$
$109$	−6.44082	−	8.93597i	−0.616919	−	0.855910i	−0.997632	+	0.0687832i	$0.978088\pi$
$110$	−5.59667	−	5.28761i	−0.533622	−	0.504153i
$111$	18.4652	−	5.76875i	1.75264	−	0.547546i
$112$	2.27502	+	0.525735i	0.214970	+	0.0496773i
$113$	1.35998	+	10.2056i	0.127936	+	0.960066i	0.931217	+	0.364466i	$0.118748\pi$
$113$	1.35998	+	10.2056i	0.127936	+	0.960066i	−0.803281	+	0.595600i	$0.796914\pi$
$114$	−0.317338	−	1.08767i	−0.0297214	−	0.101870i
$115$	0.982593	+	3.91291i	0.0916272	+	0.364881i
$116$	−0.989215	−	10.4227i	−0.0918463	−	0.967723i
$117$	−0.614930	−	0.729723i	−0.0568503	−	0.0674629i
$118$	1.72628	−	1.29460i	0.158917	−	0.119177i
$119$	−10.5627	+	9.24852i	−0.968281	+	0.847810i
$120$	−3.64356	−	1.95307i	−0.332610	−	0.178290i
$121$	1.11804	+	0.127504i	0.101640	+	0.0115912i
$122$	−3.94030	+	4.01559i	−0.356738	+	0.363554i
$123$	−5.53268	+	2.70135i	−0.498865	+	0.243573i
$124$	0.245169	+	0.198790i	0.0220168	+	0.0178519i
$125$	−4.78885	+	8.54162i	−0.428327	+	0.763986i
$126$	−0.260129	+	0.245764i	−0.0231742	+	0.0218944i
$127$	−2.38449	−	0.456737i	−0.211589	−	0.0405289i	0.0812355	−	0.996695i	$-0.474113\pi$
$127$	−2.38449	−	0.456737i	−0.211589	−	0.0405289i	−0.292825	+	0.956166i	$0.594595\pi$
$128$	−0.843109	−	0.537743i	−0.0745210	−	0.0475302i
$129$	9.30858	+	14.0029i	0.819574	+	1.23288i
$130$	−12.5426	+	8.68452i	−1.10006	+	0.761683i
$131$	−0.870902	+	9.17611i	−0.0760910	+	0.801720i	0.873208	+	0.487347i	$0.162035\pi$
$131$	−0.870902	+	9.17611i	−0.0760910	+	0.801720i	−0.949299	+	0.314373i	$0.898206\pi$
$132$	−5.24130	+	0.799663i	−0.456197	+	0.0696018i
$133$	−0.207117	+	1.55427i	−0.0179593	+	0.134772i
$134$	−3.07812	+	8.18815i	−0.265909	+	0.707349i
$135$	11.4891	−	6.15854i	0.988824	−	0.530042i
$136$	5.58707	−	2.22187i	0.479087	−	0.190524i
$137$	8.00744	−	5.10722i	0.684122	−	0.436339i	−0.149436	−	0.988771i	$-0.547746\pi$
$137$	8.00744	−	5.10722i	0.684122	−	0.436339i	0.833558	+	0.552432i	$0.186300\pi$
$138$	2.54081	+	1.12357i	0.216288	+	0.0956443i
$139$	−8.21087	+	9.02706i	−0.696437	+	0.765665i	−0.981213	−	0.192929i	$-0.938201\pi$
$139$	−8.21087	+	9.02706i	−0.696437	+	0.765665i	0.284776	+	0.958594i	$0.408081\pi$
$140$	3.51848	+	4.51126i	0.297365	+	0.381271i
$141$	−7.86108	−	8.01128i	−0.662022	−	0.674671i
$142$	−4.12782	−	1.46320i	−0.346399	−	0.122789i
$143$	−6.18687	+	18.5619i	−0.517372	+	1.55223i
$144$	0.140169	−	0.0619840i	0.0116808	−	0.00516533i
$145$	14.2011	−	21.3627i	1.17934	−	1.77407i
$146$	−0.135445	−	7.15599i	−0.0112095	−	0.592234i
$147$	2.46153	−	0.872549i	0.203024	−	0.0719666i
$148$	10.3033	+	5.03060i	0.846923	+	0.413513i
$149$	−3.09940	−	6.66497i	−0.253913	−	0.546016i	0.737720	−	0.675107i	$-0.235903\pi$
$149$	−3.09940	−	6.66497i	−0.253913	−	0.546016i	−0.991633	+	0.129091i	$0.958794\pi$
$150$	−0.655239	−	1.56096i	−0.0535001	−	0.127452i
$151$	−11.7937	+	19.2865i	−0.959755	+	1.56951i	−0.145217	+	0.989400i	$0.546388\pi$
$151$	−11.7937	+	19.2865i	−0.959755	+	1.56951i	−0.814538	+	0.580110i	$0.803009\pi$
$152$	0.305999	−	0.597758i	0.0248198	−	0.0484846i
$153$	−0.190456	+	0.901619i	−0.0153975	+	0.0728916i
$154$	7.08141	+	1.92142i	0.570636	+	0.154832i
$155$	0.159836	+	0.756662i	0.0128383	+	0.0607766i
$156$	−0.596128	+	10.4884i	−0.0477284	+	0.839745i
$157$	−4.72801	+	5.61061i	−0.377336	+	0.447776i	−0.919850	−	0.392271i	$-0.871690\pi$
$157$	−4.72801	+	5.61061i	−0.377336	+	0.447776i	0.542514	+	0.840047i	$0.317473\pi$
$158$	−13.6713	−	9.46604i	−1.08763	−	0.753078i
$159$	0.154322	−	8.15331i	0.0122385	−	0.646600i
$160$	−0.774765	−	2.32446i	−0.0612505	−	0.183765i
$161$	−2.58700	−	2.84416i	−0.203885	−	0.224151i
$162$	1.44363	−	8.39348i	0.113422	−	0.659454i
$163$	1.17833	+	2.10173i	0.0922940	+	0.164620i	0.914520	−	0.404542i	$-0.132569\pi$
$163$	1.17833	+	2.10173i	0.0922940	+	0.164620i	−0.822225	+	0.569162i	$0.807268\pi$
$164$	−3.48312	−	1.08817i	−0.271986	−	0.0849716i
$165$	−11.2091	−	6.56620i	−0.872627	−	0.511178i
$166$	4.79736			0.372347
$167$	−7.24018	+	10.7042i	−0.560262	+	0.828316i
$167$	−7.24018	+	10.7042i	−0.560262	+	0.828316i
$168$	3.93964			0.303950
$169$	22.2339	+	13.0245i	1.71030	+	1.00188i
$170$	14.0618	+	4.39307i	1.07849	+	0.336933i
$171$	0.0503314	+	0.0897736i	0.00384894	+	0.00686516i
$172$	−1.68925	+	9.82159i	−0.128804	+	0.748889i
$173$	8.11230	+	8.91869i	0.616766	+	0.678075i	0.965875	−	0.259007i	$-0.0833952\pi$
$173$	8.11230	+	8.91869i	0.616766	+	0.678075i	−0.349109	+	0.937082i	$0.613516\pi$
$174$	−5.58564	−	16.7581i	−0.423447	−	1.27043i
$175$	−0.0443361	+	2.34242i	−0.00335150	+	0.177070i
$176$	−2.58355	−	1.78885i	−0.194742	−	0.134840i
$177$	2.34604	−	2.78399i	0.176339	−	0.209258i
$178$	−0.642338	+	11.3014i	−0.0481452	+	0.847078i
$179$	2.19497	+	10.3910i	0.164060	+	0.776658i	0.980075	+	0.198628i	$0.0636485\pi$
$179$	2.19497	+	10.3910i	0.164060	+	0.776658i	−0.816015	+	0.578031i	$0.803821\pi$
$180$	0.362416	+	0.0983354i	0.0270129	+	0.00732949i
$181$	−1.86242	+	8.81670i	−0.138433	+	0.655340i	0.852693	+	0.522413i	$0.174968\pi$
$181$	−1.86242	+	8.81670i	−0.138433	+	0.655340i	−0.991126	+	0.132928i	$0.957562\pi$
$182$	6.62484	−	12.9414i	0.491066	−	0.959279i
$183$	−4.95200	+	8.09812i	−0.366062	+	0.598630i
$184$	0.637307	+	1.51824i	0.0469829	+	0.111926i
$185$	11.8459	+	25.4735i	0.870929	+	1.87285i
$186$	0.478552	+	0.233655i	0.0350891	+	0.0171324i
$187$	17.8085	−	6.31263i	1.30228	−	0.461625i
$188$	−0.125889	−	6.65111i	−0.00918140	−	0.485082i
$189$	−6.87724	+	10.3454i	−0.500246	+	0.752519i
$190$	1.50480	−	0.665434i	0.109169	−	0.0482757i
$191$	8.29549	−	24.8882i	0.600241	−	1.80085i	0.00137595	−	0.999999i	$-0.499562\pi$
$191$	8.29549	−	24.8882i	0.600241	−	1.80085i	0.598865	−	0.800850i	$-0.295619\pi$
$192$	−1.59027	−	0.563710i	−0.114768	−	0.0406823i
$193$	−13.5392	−	13.7979i	−0.974576	−	0.993197i	0.0254026	−	0.999677i	$-0.491913\pi$
$193$	−13.5392	−	13.7979i	−0.974576	−	0.993197i	−0.999979	+	0.00648002i	$0.997937\pi$
$194$	6.91330	+	8.86397i	0.496346	+	0.636396i
$195$	−17.3197	+	19.0413i	−1.24029	+	1.36358i
$196$	1.41563	+	0.626005i	0.101117	+	0.0447146i
$197$	4.52840	−	2.88826i	0.322635	−	0.205780i	−0.366490	−	0.930422i	$-0.619441\pi$
$197$	4.52840	−	2.88826i	0.322635	−	0.205780i	0.689125	+	0.724642i	$0.257995\pi$
$198$	0.447524	−	0.177971i	0.0318041	−	0.0126479i
$199$	19.6205	−	10.5172i	1.39086	−	0.745546i	0.405189	−	0.914233i	$-0.367206\pi$
$199$	19.6205	−	10.5172i	1.39086	−	0.745546i	0.985670	+	0.168687i	$0.0539529\pi$
$200$	0.353065	−	0.939194i	0.0249655	−	0.0664110i
$201$	−1.94954	+	14.6299i	−0.137510	+	1.03191i
$202$	3.68923	−	0.562864i	0.259573	−	0.0396030i
$203$	−2.30980	+	24.3368i	−0.162116	+	1.70811i
$204$	8.34054	−	5.77501i	0.583955	−	0.404331i
$205$	−4.94978	−	7.44594i	−0.345708	−	0.520047i
$206$	−13.0548	−	8.32648i	−0.909572	−	0.580134i
$207$	−0.247852	−	0.0474748i	−0.0172269	−	0.00329973i
$208$	−4.52591	+	4.27598i	−0.313816	+	0.296486i
$209$	1.03197	−	1.84066i	0.0713826	−	0.127321i
$210$	7.49782	+	6.07945i	0.517399	+	0.419522i
$211$	−8.99289	+	4.39081i	−0.619096	+	0.302276i	−0.721444	−	0.692473i	$-0.756521\pi$
$211$	−8.99289	+	4.39081i	−0.619096	+	0.302276i	0.102348	+	0.994749i	$0.467365\pi$
$212$	3.38512	−	3.44980i	0.232491	−	0.236933i
$213$	−7.34160	−	0.837251i	−0.503038	−	0.0573675i
$214$	−0.465041	−	0.249277i	−0.0317895	−	0.0170402i
$215$	−18.3711	+	16.0854i	−1.25290	+	1.09702i
$216$	4.25635	−	3.19198i	0.289608	−	0.217187i
$217$	−0.474921	−	0.563577i	−0.0322397	−	0.0382581i
$218$	−1.04078	−	10.9660i	−0.0704903	−	0.742709i
$219$	−2.94115	−	11.7123i	−0.198744	−	0.791445i
$220$	−2.15647	−	7.39129i	−0.145389	−	0.498320i
$221$	−4.94506	−	37.1091i	−0.332641	−	2.49623i
$222$	18.8486	+	4.35573i	1.26504	+	0.292337i
$223$	0.0512034	−	0.0159965i	0.00342884	−	0.00107121i	−0.296483	−	0.955038i	$-0.595814\pi$
$223$	0.0512034	−	0.0159965i	0.00342884	−	0.00107121i	0.299912	+	0.953967i	$0.403043\pi$
$224$	1.69728	+	1.60355i	0.113404	+	0.107142i
$225$	0.0899170	+	0.124750i	0.00599447	+	0.00831669i
$226$	−3.98501	+	9.49338i	−0.265079	+	0.631490i
$227$	−0.854045	+	0.0323415i	−0.0566849	+	0.00214658i	−0.0661687	−	0.997808i	$-0.521078\pi$
$227$	−0.854045	+	0.0323415i	−0.0566849	+	0.00214658i	0.00948378	+	0.999955i	$0.496981\pi$
$228$	0.275952	−	1.09890i	0.0182753	−	0.0727766i
$229$	21.0377	+	3.20971i	1.39021	+	0.212104i	0.802348	−	0.596857i	$-0.203584\pi$
$229$	21.0377	+	3.20971i	1.39021	+	0.212104i	0.587863	+	0.808961i	$0.299970\pi$
$230$	−1.12996	+	3.87292i	−0.0745073	+	0.255373i
$231$	12.3711	+	0.468476i	0.813958	+	0.0308234i
$232$	4.41464	−	9.49326i	0.289835	−	0.623263i
$233$	0.544356	−	0.441380i	0.0356620	−	0.0289158i	−0.611814	−	0.791002i	$-0.709560\pi$
$233$	0.544356	−	0.441380i	0.0356620	−	0.0289158i	0.647476	+	0.762086i	$0.275825\pi$
$234$	−0.161754	−	0.940463i	−0.0105742	−	0.0614800i
$235$	10.0241	−	12.8525i	0.653897	−	0.838403i
$236$	2.14389	−	0.244494i	0.139555	−	0.0159152i
$237$	−26.0704	−	10.3677i	−1.69345	−	0.673453i
$238$	−13.7888	+	2.64117i	−0.893793	+	0.171201i
$239$	−5.13646	+	7.12629i	−0.332250	+	0.460962i	−0.943931	−	0.330143i	$-0.892903\pi$
$239$	−5.13646	+	7.12629i	−0.332250	+	0.460962i	0.611681	+	0.791104i	$0.290493\pi$
$240$	−2.15668	−	3.52686i	−0.139213	−	0.227658i
$241$	14.7544	−	1.11906i	0.950412	−	0.0720849i	0.408718	−	0.912661i	$-0.365976\pi$
$241$	14.7544	−	1.11906i	0.950412	−	0.0720849i	0.541694	+	0.840576i	$0.317783\pi$
$242$	0.900259	+	0.675134i	0.0578708	+	0.0433993i
$243$	0.0902911	+	1.58860i	0.00579218	+	0.101909i
$244$	−5.42960	+	1.47323i	−0.347594	+	0.0943137i
$245$	1.72817	+	3.37592i	0.110409	+	0.215680i
$246$	−6.13930	−	0.465641i	−0.391428	−	0.0296882i
$247$	−3.14576	−	2.75437i	−0.200160	−	0.175257i
$248$	0.111066	+	0.295448i	0.00705268	+	0.0187610i
$249$	7.88639	−	1.82246i	0.499780	−	0.115494i
$250$	−8.44946	+	4.94963i	−0.534391	+	0.313042i
$251$	−6.03763	+	3.53680i	−0.381092	+	0.223241i	−0.683520	−	0.729931i	$-0.739552\pi$
$251$	−6.03763	+	3.53680i	−0.381092	+	0.223241i	0.302429	+	0.953172i	$0.402203\pi$
$252$	−0.348676	+	0.0805754i	−0.0219645	+	0.00507577i
$253$	1.82070	+	4.84329i	0.114467	+	0.304495i
$254$	−1.82661	−	1.59935i	−0.114612	−	0.100352i
$255$	24.7852	+	1.87986i	1.55211	+	0.117721i
$256$	−0.455676	−	0.890146i	−0.0284797	−	0.0556341i
$257$	−5.15351	+	1.39832i	−0.321467	+	0.0872246i	−0.418941	−	0.908014i	$-0.637599\pi$
$257$	−5.15351	+	1.39832i	−0.321467	+	0.0872246i	0.0974737	+	0.995238i	$0.468924\pi$
$258$	0.954148	+	16.7875i	0.0594026	+	1.04514i
$259$	−21.4186	−	16.0625i	−1.33089	−	0.998076i
$260$	−15.2121	+	1.15377i	−0.943412	+	0.0715540i
$261$	0.837099	+	1.36893i	0.0518151	+	0.0847345i
$262$	−5.38955	+	7.47744i	−0.332968	+	0.461958i
$263$	−23.7413	+	4.54753i	−1.46395	+	0.280413i	−0.857409	−	0.514636i	$-0.827927\pi$
$263$	−23.7413	+	4.54753i	−1.46395	+	0.280413i	−0.606545	+	0.795049i	$0.707445\pi$
$264$	−4.92667	−	1.95924i	−0.303216	−	0.120583i
$265$	11.7660	−	1.34182i	0.722781	−	0.0824274i
$266$	−0.964320	+	1.23642i	−0.0591263	+	0.0758095i
$267$	3.23735	+	18.8225i	0.198123	+	1.15192i
$268$	−6.79469	+	5.50934i	−0.415052	+	0.336536i
$269$	−0.220199	+	0.473517i	−0.0134258	+	0.0288708i	−0.913350	−	0.407176i	$-0.866513\pi$
$269$	−0.220199	+	0.473517i	−0.0134258	+	0.0288708i	0.899924	+	0.436047i	$0.143622\pi$
$270$	13.0263	+	0.493287i	0.792753	+	0.0300205i
$271$	1.93828	−	6.64344i	0.117742	−	0.403560i	−0.879659	−	0.475604i	$-0.842229\pi$
$271$	1.93828	−	6.64344i	0.117742	−	0.403560i	0.997401	+	0.0720443i	$0.0229523\pi$
$272$	5.94388	+	0.906855i	0.360400	+	0.0549862i
$273$	5.97431	−	23.7911i	0.361582	−	1.43990i
$274$	9.49071	−	0.359400i	0.573355	−	0.0217121i
$275$	1.22036	−	2.90723i	0.0735905	−	0.175313i
$276$	1.62443	+	2.25373i	0.0977794	+	0.135659i
$277$	−11.7406	−	11.0923i	−0.705425	−	0.666470i	0.247772	−	0.968818i	$-0.420302\pi$
$277$	−11.7406	−	11.0923i	−0.705425	−	0.666470i	−0.953197	+	0.302349i	$0.902229\pi$
$278$	−11.6475	+	3.63882i	−0.698573	+	0.218242i
$279$	−0.0471328	−	0.0108919i	−0.00282177	−	0.000652081i
$280$	0.755700	+	5.67098i	0.0451617	+	0.338906i
$281$	5.24027	+	17.9610i	0.312608	+	1.07146i	0.952888	+	0.303321i	$0.0980954\pi$
$281$	5.24027	+	17.9610i	0.312608	+	1.07146i	−0.640280	+	0.768142i	$0.721182\pi$
$282$	−2.73364	−	10.8860i	−0.162786	−	0.648250i
$283$	−0.970599	−	10.2265i	−0.0576961	−	0.607905i	−0.976838	−	0.213979i	$-0.931358\pi$
$283$	−0.970599	−	10.2265i	−0.0576961	−	0.607905i	0.919142	−	0.393926i	$-0.128883\pi$
$284$	−2.82213	−	3.34895i	−0.167462	−	0.198724i
$285$	2.22095	−	1.66557i	0.131558	−	0.0986596i
$286$	−14.7205	+	12.8890i	−0.870444	+	0.762145i
$287$	7.50981	+	4.02551i	0.443290	+	0.237618i
$288$	0.152276	+	0.0173658i	0.00897292	+	0.00102329i
$289$	−13.4138	+	13.6701i	−0.789047	+	0.804123i
$290$	23.0513	−	11.2549i	1.35362	−	0.660909i
$291$	14.7321	+	11.9452i	0.863613	+	0.700242i
$292$	3.50015	−	6.24304i	0.204831	−	0.365346i
$293$	19.4139	−	18.3418i	1.13417	−	1.07154i	0.137461	−	0.990507i	$-0.456106\pi$
$293$	19.4139	−	18.3418i	1.13417	−	1.07154i	0.996711	−	0.0810333i	$-0.0258220\pi$
$294$	2.56498	+	0.491308i	0.149592	+	0.0286537i
$295$	4.45748	+	2.84302i	0.259524	+	0.165527i
$296$	6.34747	+	9.54849i	0.368939	+	0.554995i
$297$	13.7452	−	9.51718i	0.797576	−	0.552243i
$298$	0.694502	−	7.31750i	0.0402314	−	0.423892i
$299$	10.1349	−	1.54628i	0.586118	−	0.0894238i
$300$	0.223615	−	1.67807i	0.0129104	−	0.0968835i
$301$	8.18825	−	21.7817i	0.471963	−	1.25548i
$302$	−19.9246	+	10.6803i	−1.14653	+	0.614579i
$303$	5.85091	−	2.32679i	0.336126	−	0.133671i
$304$	0.566171	−	0.361109i	0.0324721	−	0.0207110i
$305$	−12.6069	−	5.57486i	−0.721867	−	0.319216i
$306$	−0.620062	+	0.681699i	−0.0354466	+	0.0389701i
$307$	−5.98391	−	7.67234i	−0.341520	−	0.437884i	0.586763	−	0.809758i	$-0.300402\pi$
$307$	−5.98391	−	7.67234i	−0.341520	−	0.437884i	−0.928283	+	0.371875i	$0.878715\pi$
$308$	5.13904	+	5.23723i	0.292824	+	0.298419i
$309$	−24.6240	−	8.72856i	−1.40081	−	0.496550i
$310$	−0.244542	+	0.733679i	−0.0138891	+	0.0416702i
$311$	14.3507	−	6.34601i	0.813755	−	0.359849i	0.0446747	−	0.999002i	$-0.485775\pi$
$311$	14.3507	−	6.34601i	0.813755	−	0.359849i	0.769080	+	0.639152i	$0.220715\pi$
$312$	−5.81577	+	8.74865i	−0.329253	+	0.495295i
$313$	−0.313081	−	16.5411i	−0.0176964	−	0.934956i	−0.892650	−	0.450750i	$-0.851157\pi$
$313$	−0.313081	−	16.5411i	−0.0176964	−	0.934956i	0.874954	−	0.484206i	$-0.160891\pi$
$314$	−6.91548	+	2.45136i	−0.390263	+	0.138338i
$315$	−0.787930	−	0.384709i	−0.0443948	−	0.0216759i
$316$	−7.01171	−	15.0780i	−0.394439	−	0.848205i
$317$	0.879728	+	2.09575i	0.0494104	+	0.117709i	0.944884	−	0.327407i	$-0.106175\pi$
$317$	0.879728	+	2.09575i	0.0494104	+	0.117709i	−0.895473	+	0.445116i	$0.853163\pi$
$318$	4.25427	−	6.95711i	0.238568	−	0.390136i
$319$	14.9915	−	29.2854i	0.839364	−	1.63967i
$320$	0.506396	−	2.39728i	0.0283084	−	0.134012i
$321$	−0.859180	−	0.233124i	−0.0479548	−	0.0130117i
$322$	−0.794616	−	3.76171i	−0.0442822	−	0.209632i
$323$	−0.229119	+	4.03116i	−0.0127485	+	0.224300i
$324$	5.48815	−	6.51266i	0.304897	−	0.361815i
$325$	−5.13629	−	3.55637i	−0.284910	−	0.197272i
$326$	−0.0455978	+	2.40908i	−0.00252543	+	0.133426i
$327$	−5.87679	−	17.6316i	−0.324987	−	0.975031i
$328$	−2.45541	−	2.69949i	−0.135577	−	0.149054i
$329$	−2.63292	+	15.3082i	−0.145158	+	0.843970i
$330$	−6.35290	−	11.3313i	−0.349716	−	0.623770i
$331$	2.81021	+	0.877942i	0.154463	+	0.0482560i	0.374452	−	0.927246i	$-0.377831\pi$
$331$	2.81021	+	0.877942i	0.154463	+	0.0482560i	−0.219989	+	0.975502i	$0.570602\pi$
$332$	4.13942	+	2.42484i	0.227180	+	0.133080i
$333$	−1.75727			−0.0962980
$334$	−11.6577	+	5.57659i	−0.637880	+	0.305137i
$335$	−21.4332			−1.17102
$336$	3.39934	+	1.99131i	0.185449	+	0.108635i
$337$	12.8630	+	4.01855i	0.700693	+	0.218904i	0.627731	−	0.778430i	$-0.283984\pi$
$337$	12.8630	+	4.01855i	0.700693	+	0.218904i	0.0729618	+	0.997335i	$0.476755\pi$
$338$	12.6014	+	22.4764i	0.685425	+	1.22256i
$339$	−2.94455	+	17.1201i	−0.159926	+	0.929835i
$340$	9.91281	+	10.8982i	0.537597	+	0.591036i
$341$	0.313631	+	0.940959i	0.0169841	+	0.0509558i
$342$	−0.00194767	+	0.102902i	−0.000105318	+	0.00556428i
$343$	−16.4095	−	11.3620i	−0.886029	−	0.613488i
$344$	−6.42193	+	7.62076i	−0.346247	+	0.410884i
$345$	−0.386262	+	6.79598i	−0.0207956	+	0.365883i
$346$	2.49175	+	11.7959i	0.133957	+	0.634152i
$347$	−14.1748	−	3.84609i	−0.760943	−	0.206469i	−0.139815	−	0.990178i	$-0.544651\pi$
$347$	−14.1748	−	3.84609i	−0.760943	−	0.206469i	−0.621128	+	0.783709i	$0.713325\pi$
$348$	3.65085	−	17.2831i	0.195706	−	0.926471i
$349$	−1.46943	+	2.87048i	−0.0786569	+	0.153653i	−0.926153	−	0.377149i	$-0.876904\pi$
$349$	−1.46943	+	2.87048i	−0.0786569	+	0.153653i	0.847496	+	0.530802i	$0.178109\pi$
$350$	−1.22224	+	1.99875i	−0.0653314	+	0.106838i
$351$	−12.8215	−	30.5442i	−0.684359	−	1.63033i
$352$	−1.32504	−	2.84938i	−0.0706250	−	0.151873i
$353$	−4.36373	−	2.13060i	−0.232258	−	0.113401i	0.318941	−	0.947775i	$-0.396673\pi$
$353$	−4.36373	−	2.13060i	−0.232258	−	0.113401i	−0.551199	+	0.834374i	$0.685829\pi$
$354$	3.43147	−	1.21636i	0.182380	−	0.0646490i
$355$	−0.203065	−	10.7286i	−0.0107776	−	0.569414i
$356$	−6.26659	+	9.42681i	−0.332128	+	0.499620i
$357$	−21.6641	+	9.58003i	−1.14658	+	0.507029i
$358$	−3.35821	+	10.0754i	−0.177487	+	0.532499i
$359$	8.85224	+	3.13788i	0.467203	+	0.165611i	0.557282	−	0.830323i	$-0.311844\pi$
$359$	8.85224	+	3.13788i	0.467203	+	0.165611i	−0.0900786	+	0.995935i	$0.528712\pi$
$360$	0.263008	+	0.268034i	0.0138618	+	0.0141266i
$361$	−11.4076	−	14.6265i	−0.600402	−	0.769813i
$362$	−6.06343	+	6.66616i	−0.318687	+	0.350366i
$363$	1.73642	+	0.767858i	0.0911382	+	0.0403021i
$364$	12.2575	−	7.81797i	0.642469	−	0.409773i
$365$	16.2953	−	6.48033i	0.852936	−	0.339196i
$366$	−8.36607	+	4.48449i	−0.437302	+	0.234408i
$367$	5.35321	−	14.2402i	0.279435	−	0.743330i	−0.719378	−	0.694619i	$-0.755573\pi$
$367$	5.35321	−	14.2402i	0.279435	−	0.743330i	0.998813	−	0.0487112i	$-0.0155114\pi$
$368$	−0.217495	+	1.63215i	−0.0113377	+	0.0850815i
$369$	0.552879	−	0.0843526i	0.0287817	−	0.00439122i
$370$	−2.65439	+	27.9675i	−0.137995	+	1.45396i
$371$	−9.27845	+	6.42442i	−0.481713	+	0.333539i
$372$	0.294819	+	0.443495i	0.0152857	+	0.0229942i
$373$	3.19024	+	2.03476i	0.165184	+	0.105356i	0.617749	−	0.786376i	$-0.288045\pi$
$373$	3.19024	+	2.03476i	0.165184	+	0.105356i	−0.452564	+	0.891732i	$0.649491\pi$
$374$	18.5569	+	3.55447i	0.959552	+	0.183797i
$375$	−12.0098	+	11.3466i	−0.620183	+	0.585935i
$376$	3.25320	−	5.80257i	0.167771	−	0.299245i
$377$	−50.6342	−	41.0557i	−2.60779	−	2.11448i
$378$	−11.1632	+	5.45046i	−0.574172	+	0.280341i
$379$	2.21522	−	2.25755i	0.113788	−	0.115962i	−0.654513	−	0.756051i	$-0.727126\pi$
$379$	2.21522	−	2.25755i	0.113788	−	0.115962i	0.768301	+	0.640088i	$0.221102\pi$
$380$	1.63477	+	0.186432i	0.0838617	+	0.00956377i
$381$	−3.61035	−	1.93526i	−0.184964	−	0.0991466i
$382$	19.7376	−	17.2819i	1.00987	−	0.884220i
$383$	22.4944	−	16.8693i	1.14941	−	0.861983i	0.157327	−	0.987547i	$-0.449712\pi$
$383$	22.4944	−	16.8693i	1.14941	−	0.861983i	0.992086	+	0.125564i	$0.0400739\pi$
$384$	−1.08724	−	1.29021i	−0.0554832	−	0.0658407i
$385$	1.69866	+	17.8976i	0.0865717	+	0.912148i
$386$	−4.70818	−	18.7491i	−0.239640	−	0.954302i
$387$	−0.427792	−	1.46625i	−0.0217459	−	0.0745338i
$388$	1.48484	+	11.1427i	0.0753814	+	0.565683i
$389$	24.0676	+	5.56177i	1.22027	+	0.281993i	0.785680	−	0.618633i	$-0.212313\pi$
$389$	24.0676	+	5.56177i	1.22027	+	0.281993i	0.434595	+	0.900626i	$0.356892\pi$
$390$	−24.5689	+	7.67559i	−1.24409	+	0.388669i
$391$	−7.19644	−	6.79903i	−0.363940	−	0.343842i
$392$	0.905068	+	1.25569i	0.0457128	+	0.0634217i
$393$	−6.01931	+	14.3396i	−0.303634	+	0.723339i
$394$	5.36722	−	0.203249i	0.270397	−	0.0102395i
$395$	9.92312	−	39.5162i	0.499286	−	1.98827i
$396$	0.476104	+	0.0726389i	0.0239251	+	0.00365024i
$397$	−7.88153	+	27.0139i	−0.395562	+	1.35579i	0.481936	+	0.876207i	$0.339934\pi$
$397$	−7.88153	+	27.0139i	−0.395562	+	1.35579i	−0.877498	+	0.479580i	$0.840789\pi$
$398$	22.2456	+	0.842408i	1.11507	+	0.0422261i
$399$	−1.11555	+	2.39888i	−0.0558473	+	0.120094i
$400$	0.779362	−	0.631930i	0.0389681	−	0.0315965i
$401$	−5.34254	−	31.0624i	−0.266794	−	1.55118i	−0.741448	−	0.671010i	$-0.765861\pi$
$401$	−5.34254	−	31.0624i	−0.266794	−	1.55118i	0.474655	−	0.880172i	$-0.342573\pi$
$402$	−9.07689	+	11.6381i	−0.452714	+	0.580453i
$403$	1.95261	−	0.222679i	0.0972662	−	0.0110924i
$404$	3.46777	+	1.37906i	0.172528	+	0.0686109i
$405$	20.4949	−	3.92569i	1.01840	−	0.195069i
$406$	−14.2941	+	19.8316i	−0.709405	+	0.984225i
$407$	18.7966	+	30.7385i	0.931713	+	1.52365i
$408$	10.1157	−	0.767233i	0.500800	−	0.0379837i
$409$	10.0548	+	7.54040i	0.497176	+	0.372849i	0.818855	−	0.574000i	$-0.194609\pi$
$409$	10.0548	+	7.54040i	0.497176	+	0.372849i	−0.321680	+	0.946848i	$0.604248\pi$
$410$	−0.507362	−	8.92664i	−0.0250568	−	0.440855i
$411$	15.4653	−	4.19624i	0.762846	−	0.206985i
$412$	−7.05575	−	13.7831i	−0.347612	−	0.679046i
$413$	−5.02395	−	0.381047i	−0.247213	−	0.0187501i
$414$	−0.189864	−	0.166242i	−0.00933131	−	0.00817033i
$415$	4.13614	+	11.0026i	0.203035	+	0.540097i
$416$	−6.06651	+	1.40191i	−0.297435	+	0.0687342i
$417$	−17.7651	+	10.4067i	−0.869960	+	0.509616i
$418$	1.82081	−	1.06661i	0.0890585	−	0.0521698i
$419$	5.44647	−	1.25862i	0.266077	−	0.0614877i	−0.0900085	−	0.995941i	$-0.528689\pi$
$419$	5.44647	−	1.25862i	0.266077	−	0.0614877i	0.356086	+	0.934453i	$0.384111\pi$
$420$	3.39664	+	9.03547i	0.165739	+	0.440886i
$421$	−1.64581	−	1.44104i	−0.0802118	−	0.0702321i	0.617710	−	0.786406i	$-0.288060\pi$
$421$	−1.64581	−	1.44104i	−0.0802118	−	0.0702321i	−0.697922	+	0.716174i	$0.745892\pi$
$422$	−9.97890	−	0.756859i	−0.485765	−	0.0368433i
$423$	0.464584	+	0.907547i	0.0225888	+	0.0441265i
$424$	4.66458	−	1.26565i	0.226532	−	0.0614655i
$425$	0.342338	+	6.02317i	0.0166058	+	0.292166i
$426$	−5.91153	−	4.43326i	−0.286415	−	0.214792i
$427$	13.0988	−	0.993489i	0.633894	−	0.0480783i
$428$	−0.275264	−	0.450146i	−0.0133054	−	0.0217586i
$429$	−19.3028	+	26.7805i	−0.931946	+	1.29298i
$430$	−23.9820	+	4.59363i	−1.15651	+	0.221524i
$431$	−16.0304	−	6.37498i	−0.772158	−	0.307072i	−0.0499532	−	0.998752i	$-0.515907\pi$
$431$	−16.0304	−	6.37498i	−0.772158	−	0.307072i	−0.722205	+	0.691680i	$0.756871\pi$
$432$	5.28601	−	0.602828i	0.254323	−	0.0290036i
$433$	−11.2236	+	14.3905i	−0.539372	+	0.691563i	−0.978355	−	0.206932i	$-0.933652\pi$
$433$	−11.2236	+	14.3905i	−0.539372	+	0.691563i	0.438983	+	0.898495i	$0.355339\pi$
$434$	−0.124925	−	0.726335i	−0.00599660	−	0.0348652i
$435$	33.6185	−	27.2589i	1.61189	−	1.30696i
$436$	4.64475	−	9.98809i	0.222443	−	0.478343i
$437$	−1.10493	−	0.0418421i	−0.0528559	−	0.00200158i
$438$	3.38225	−	11.5926i	0.161610	−	0.553917i
$439$	1.14238	+	0.174293i	0.0545230	+	0.00831855i	0.178028	−	0.984025i	$-0.443028\pi$
$439$	1.14238	+	0.174293i	0.0545230	+	0.00831855i	−0.123505	+	0.992344i	$0.539414\pi$
$440$	1.87523	−	7.46760i	0.0893981	−	0.356004i
$441$	−0.237060	+	0.00897714i	−0.0112886	+	0.000427483i
$442$	14.4901	−	34.5192i	0.689222	−	1.64191i
$443$	8.47861	+	11.7632i	0.402831	+	0.558885i	0.963003	−	0.269491i	$-0.0868554\pi$
$443$	8.47861	+	11.7632i	0.402831	+	0.558885i	−0.560172	+	0.828376i	$0.689265\pi$
$444$	14.0620	+	13.2855i	0.667353	+	0.630500i
$445$	−26.4733	+	8.27057i	−1.25496	+	0.392063i
$446$	0.0522666	+	0.0120783i	0.00247489	+	0.000571923i
$447$	−1.63815	−	12.2931i	−0.0774817	−	0.581444i
$448$	0.653984	+	2.24153i	0.0308979	+	0.105902i
$449$	2.87724	+	11.4578i	0.135785	+	0.540728i	0.999335	+	0.0364642i	$0.0116095\pi$
$449$	2.87724	+	11.4578i	0.135785	+	0.540728i	−0.863550	+	0.504264i	$0.831764\pi$
$450$	0.0145298	+	0.153090i	0.000684939	+	0.00721674i
$451$	−7.38936	−	8.76878i	−0.347951	−	0.412906i
$452$	−8.23694	+	6.17716i	−0.387433	+	0.290549i
$453$	−28.6969	+	25.1265i	−1.34830	+	1.18054i
$454$	−0.753263	−	0.403774i	−0.0353524	−	0.0189500i
$455$	35.3925	+	4.03623i	1.65922	+	0.189221i
$456$	0.793550	−	0.808712i	0.0371614	−	0.0378714i
$457$	−11.5955	+	5.66154i	−0.542415	+	0.264836i	−0.689497	−	0.724288i	$-0.742168\pi$
$457$	−11.5955	+	5.66154i	−0.542415	+	0.264836i	0.147082	+	0.989124i	$0.453012\pi$
$458$	16.5301	+	13.4031i	0.772401	+	0.626285i
$459$	−15.6437	+	27.9029i	−0.730185	+	1.30239i
$460$	−2.93257	+	2.77063i	−0.136732	+	0.129181i
$461$	6.95720	+	1.33262i	0.324029	+	0.0620661i	0.347562	−	0.937657i	$-0.387010\pi$
$461$	6.95720	+	1.33262i	0.324029	+	0.0620661i	−0.0235332	+	0.999723i	$0.507492\pi$
$462$	10.4377	+	6.65723i	0.485603	+	0.309723i
$463$	17.1769	+	25.8392i	0.798279	+	1.20085i	0.976215	+	0.216807i	$0.0695641\pi$
$463$	17.1769	+	25.8392i	0.798279	+	1.20085i	−0.177936	+	0.984042i	$0.556942\pi$
$464$	8.60759	−	5.95991i	0.399597	−	0.276682i
$465$	−0.123287	+	1.29900i	−0.00571732	+	0.0602395i
$466$	0.692797	−	0.105700i	0.0320932	−	0.00489645i
$467$	−0.479863	+	3.60103i	−0.0222054	+	0.166636i	−0.998833	−	0.0483044i	$-0.984618\pi$
$467$	−0.479863	+	3.60103i	−0.0222054	+	0.166636i	0.976627	+	0.214940i	$0.0689556\pi$
$468$	0.335790	−	0.893241i	0.0155219	−	0.0412901i
$469$	18.0023	−	9.64981i	0.831268	−	0.445587i
$470$	15.1456	−	6.02312i	0.698615	−	0.277826i
$471$	−10.4371	+	6.65691i	−0.480918	+	0.306734i
$472$	1.97344	+	0.872673i	0.0908351	+	0.0401680i
$473$	−21.0721	+	23.1667i	−0.968895	+	1.06521i
$474$	−17.2546	−	22.1232i	−0.792528	−	1.01615i
$475$	0.471910	+	0.480927i	0.0216527	+	0.0220664i
$476$	−13.2327	−	4.69063i	−0.606519	−	0.214995i
$477$	−0.234232	+	0.702746i	−0.0107248	+	0.0321765i
$478$	−8.03402	+	3.55271i	−0.367468	+	0.162497i
$479$	16.2827	−	24.4940i	0.743975	−	1.11916i	−0.244774	−	0.969580i	$-0.578714\pi$
$479$	16.2827	−	24.4940i	0.743975	−	1.11916i	0.988750	−	0.149580i	$-0.0477922\pi$
$480$	−0.0782324	−	4.13327i	−0.00357081	−	0.188657i
$481$	67.2880	−	23.8518i	3.06807	−	1.08755i
$482$	13.2965	+	6.49206i	0.605639	+	0.295705i
$483$	−2.73531	−	5.88202i	−0.124461	−	0.267641i
$484$	0.435543	+	1.03758i	0.0197974	+	0.0471628i
$485$	−14.3689	+	23.4977i	−0.652456	+	1.06698i
$486$	−0.725056	+	1.41637i	−0.0328892	+	0.0642478i
$487$	8.50577	−	40.2662i	0.385433	−	1.82464i	−0.160780	−	0.986990i	$-0.551401\pi$
$487$	8.50577	−	40.2662i	0.385433	−	1.82464i	0.546213	−	0.837646i	$-0.316069\pi$
$488$	−5.42960	−	1.47323i	−0.245786	−	0.0666899i
$489$	0.840224	+	3.97761i	0.0379962	+	0.179874i
$490$	−0.215209	+	3.78644i	−0.00972217	+	0.171054i
$491$	5.12481	−	6.08150i	0.231280	−	0.274454i	−0.636638	−	0.771163i	$-0.719675\pi$
$491$	5.12481	−	6.08150i	0.231280	−	0.274454i	0.867917	+	0.496709i	$0.165458\pi$
$492$	−5.06196	−	3.50491i	−0.228211	−	0.158014i
$493$	−1.19127	+	62.9384i	−0.0536520	+	2.83460i
$494$	−1.32213	−	3.96666i	−0.0594852	−	0.178468i
$495$	0.794014	+	0.872942i	0.0356883	+	0.0392358i
$496$	−0.0535016	+	0.311067i	−0.00240229	+	0.0139673i
$497$	5.00086	+	8.91978i	0.224319	+	0.400107i
$498$	7.72598	+	2.41368i	0.346209	+	0.108160i
$499$	−33.4630	−	19.6024i	−1.49801	−	0.877523i	−0.999946	−	0.0103820i	$-0.996695\pi$
$499$	−33.4630	−	19.6024i	−1.49801	−	0.877523i	−0.498063	−	0.867141i	$-0.665955\pi$
$500$	−9.79246			−0.437932
$501$	−17.0456	+	13.5960i	−0.761543	+	0.607425i
$502$	−6.99728			−0.312304
$503$	28.0068	+	16.4062i	1.24876	+	0.731515i	0.973242	−	0.229781i	$-0.0738009\pi$
$503$	28.0068	+	16.4062i	1.24876	+	0.731515i	0.275519	+	0.961296i	$0.411150\pi$
$504$	−0.341584	−	0.106715i	−0.0152153	−	0.00475345i
$505$	4.47166	+	7.97586i	0.198986	+	0.354921i
$506$	−0.877053	+	5.09933i	−0.0389898	+	0.226693i
$507$	29.2540	+	32.1620i	1.29922	+	1.42836i
$508$	−0.767702	−	2.30327i	−0.0340613	−	0.102191i
$509$	0.504290	−	26.6432i	0.0223523	−	1.18094i	−0.795661	−	0.605742i	$-0.792876\pi$
$509$	0.504290	−	26.6432i	0.0223523	−	1.18094i	0.818014	−	0.575199i	$-0.195075\pi$
$510$	20.4358	+	14.1498i	0.904913	+	0.626563i
$511$	−10.7692	+	12.7796i	−0.476402	+	0.565336i
$512$	0.0567453	−	0.998389i	0.00250781	−	0.0441230i
$513$	0.738399	+	3.49557i	0.0326011	+	0.154333i
$514$	−5.15351	−	1.39832i	−0.227312	−	0.0616771i
$515$	7.84111	−	37.1197i	0.345520	−	1.63569i
$516$	−7.66200	+	14.9674i	−0.337301	+	0.658904i
$517$	10.9056	−	17.8341i	0.479626	−	0.784344i
$518$	−10.3623	−	24.6857i	−0.455291	−	1.08463i
$519$	8.57734	+	18.4448i	0.376503	+	0.809635i
$520$	−13.7090	−	6.69345i	−0.601178	−	0.293527i
$521$	25.8207	−	9.15276i	1.13123	−	0.400990i	0.298354	−	0.954455i	$-0.403562\pi$
$521$	25.8207	−	9.15276i	1.13123	−	0.400990i	0.832872	+	0.553465i	$0.186695\pi$
$522$	0.0303654	+	1.60430i	0.00132906	+	0.0702183i
$523$	−8.32465	+	12.5227i	−0.364011	+	0.547581i	−0.968494	−	0.249037i	$-0.919886\pi$
$523$	−8.32465	+	12.5227i	−0.364011	+	0.547581i	0.604483	+	0.796618i	$0.293380\pi$
$524$	−8.42990	+	3.72777i	−0.368262	+	0.162848i
$525$	−1.24994	+	3.75007i	−0.0545517	+	0.163667i
$526$	−22.7839	−	8.07628i	−0.993424	−	0.352143i
$527$	−1.32919	−	1.35459i	−0.0579004	−	0.0590067i
$528$	−3.26069	−	4.18074i	−0.141903	−	0.181943i
$529$	−13.6518	+	15.0088i	−0.593555	+	0.652557i
$530$	10.8306	+	4.78938i	0.470450	+	0.208037i
$531$	−0.278822	+	0.177836i	−0.0120999	+	0.00771741i
$532$	−1.45702	+	0.579428i	−0.0631697	+	0.0251214i
$533$	−20.0254	+	10.7343i	−0.867398	+	0.464954i
$534$	−6.72053	+	17.8774i	−0.290826	+	0.773630i
$535$	0.170766	−	1.28148i	0.00738287	−	0.0554031i
$536$	−8.64754	+	1.31935i	−0.373517	+	0.0569873i
$537$	−1.69306	+	17.8387i	−0.0730611	+	0.769796i
$538$	−0.429340	+	0.297276i	−0.0185102	+	0.0128165i
$539$	2.69274	+	4.05067i	0.115984	+	0.174475i
$540$	10.9904	+	7.00980i	0.472953	+	0.301654i
$541$	−41.3218	−	7.91497i	−1.77656	−	0.340291i	−0.808022	−	0.589152i	$-0.799462\pi$
$541$	−41.3218	−	7.91497i	−1.77656	−	0.340291i	−0.968539	+	0.248861i	$0.919944\pi$
$542$	5.03040	−	4.75261i	0.216074	−	0.204142i
$543$	−7.43530	+	13.2620i	−0.319079	+	0.569125i
$544$	4.67032	+	3.78683i	0.200239	+	0.162359i
$545$	24.2528	−	11.8415i	1.03888	−	0.507235i
$546$	17.1802	−	17.5085i	0.735247	−	0.749295i
$547$	−7.24140	−	0.825825i	−0.309620	−	0.0353097i	−0.0428862	−	0.999080i	$-0.513655\pi$
$547$	−7.24140	−	0.825825i	−0.309620	−	0.0353097i	−0.266734	+	0.963770i	$0.585944\pi$
$548$	8.37076	+	4.48700i	0.357581	+	0.191675i
$549$	0.648716	−	0.568004i	0.0276865	−	0.0242418i
$550$	2.52246	−	1.89168i	0.107558	−	0.0806615i
$551$	4.53049	+	5.37622i	0.193005	+	0.229035i
$552$	0.262493	+	2.76572i	0.0111725	+	0.117717i
$553$	9.45658	+	37.6583i	0.402135	+	1.60139i
$554$	−4.52382	−	15.5053i	−0.192199	−	0.658759i
$555$	6.26099	+	46.9843i	0.265764	+	1.99437i
$556$	−11.8894	−	2.74751i	−0.504222	−	0.116521i
$557$	3.44266	−	1.07553i	0.145870	−	0.0455716i	−0.224391	−	0.974499i	$-0.572039\pi$
$557$	3.44266	−	1.07553i	0.145870	−	0.0455716i	0.370261	+	0.928928i	$0.379268\pi$
$558$	−0.0351634	−	0.0332215i	−0.00148858	−	0.00140638i
$559$	36.2823	+	50.3379i	1.53458	+	2.12907i
$560$	−2.21436	+	5.27520i	−0.0935737	+	0.222918i
$561$	31.8560	−	1.20634i	1.34496	−	0.0509318i
$562$	−4.55685	+	18.1464i	−0.192219	+	0.765461i
$563$	2.91600	+	0.444893i	0.122895	+	0.0187500i	0.211980	−	0.977274i	$-0.432009\pi$
$563$	2.91600	+	0.444893i	0.122895	+	0.0187500i	−0.0890853	+	0.996024i	$0.528394\pi$
$564$	3.14362	−	10.7747i	0.132370	−	0.453698i
$565$	−25.2086	−	0.954614i	−1.06053	−	0.0401609i
$566$	4.33156	−	9.31461i	0.182069	−	0.391522i
$567$	−15.4467	+	12.5247i	−0.648701	+	0.525986i
$568$	−0.742344	−	4.31611i	−0.0311481	−	0.181100i
$569$	17.0278	−	21.8325i	0.713844	−	0.915264i	−0.285223	−	0.958461i	$-0.592068\pi$
$569$	17.0278	−	21.8325i	0.713844	−	0.915264i	0.999067	+	0.0431971i	$0.0137543\pi$
$570$	2.75822	−	0.314554i	0.115529	−	0.0131752i
$571$	38.5920	+	15.3473i	1.61503	+	0.642264i	0.990346	−	0.138617i	$-0.0442657\pi$
$571$	38.5920	+	15.3473i	1.61503	+	0.642264i	0.624680	+	0.780881i	$0.285230\pi$
$572$	−19.2165	+	3.68082i	−0.803482	+	0.153903i
$573$	25.8816	−	35.9080i	1.08122	−	1.50008i
$574$	4.44517	+	7.26928i	0.185538	+	0.303414i
$575$	−1.64738	+	0.124947i	−0.0687006	+	0.00521066i
$576$	0.122614	+	0.0919523i	0.00510891	+	0.00383135i
$577$	−0.158909	−	2.79588i	−0.00661548	−	0.116394i	−0.999999	−	0.00154828i	$-0.999507\pi$
$577$	−0.158909	−	2.79588i	−0.00661548	−	0.116394i	0.993383	−	0.114846i	$-0.0366374\pi$
$578$	−18.4837	+	5.01524i	−0.768822	+	0.208607i
$579$	−14.8624	−	29.0331i	−0.617659	−	1.20657i
$580$	25.5787	+	1.94004i	1.06210	+	0.0805559i
$581$	−8.42773	−	7.37917i	−0.349641	−	0.306140i
$582$	6.67392	+	17.7534i	0.276643	+	0.735902i
$583$	14.7980	−	3.41967i	0.612871	−	0.141628i
$584$	6.17568	−	3.61767i	0.255552	−	0.149700i
$585$	2.01747	−	1.18182i	0.0834121	−	0.0488622i
$586$	26.0223	−	6.01349i	1.07497	−	0.248415i
$587$	4.96540	+	13.2085i	0.204944	+	0.545175i	0.997947	−	0.0640426i	$-0.0203993\pi$
$587$	4.96540	+	13.2085i	0.204944	+	0.545175i	−0.793003	+	0.609217i	$0.791484\pi$
$588$	1.96487	+	1.72040i	0.0810297	+	0.0709482i
$589$	−0.211350	−	0.0160301i	−0.00870854	−	0.000660507i
$590$	2.40914	+	4.70616i	0.0991826	+	0.193749i
$591$	8.74599	−	2.37307i	0.359762	−	0.0976152i
$592$	0.650629	+	11.4473i	0.0267407	+	0.470481i
$593$	19.3609	+	14.5194i	0.795057	+	0.596240i	0.918186	−	0.396151i	$-0.129654\pi$
$593$	19.3609	+	14.5194i	0.795057	+	0.596240i	−0.123128	+	0.992391i	$0.539293\pi$
$594$	16.6706	−	1.26440i	0.684002	−	0.0518788i
$595$	−17.9457	−	29.3470i	−0.735703	−	1.20311i
$596$	4.29791	−	5.96290i	0.176049	−	0.244250i
$597$	36.8896	−	7.06601i	1.50979	−	0.289193i
$598$	9.52654	+	3.78852i	0.389569	+	0.154924i
$599$	−43.1602	+	4.92208i	−1.76348	+	0.201111i	−0.933962	−	0.357371i	$-0.883673\pi$
$599$	−43.1602	+	4.92208i	−1.76348	+	0.201111i	−0.829516	+	0.558482i	$0.811384\pi$
$600$	1.04113	−	1.33490i	0.0425041	−	0.0544972i
$601$	−0.896980	−	5.21519i	−0.0365886	−	0.212732i	0.961478	−	0.274881i	$-0.0886384\pi$
$601$	−0.896980	−	5.21519i	−0.0365886	−	0.212732i	−0.998067	+	0.0621489i	$0.980205\pi$
$602$	18.0749	−	14.6557i	0.736678	−	0.597320i
$603$	0.565318	−	1.21566i	0.0230215	−	0.0495057i
$604$	−22.5904	−	0.855467i	−0.919191	−	0.0348085i
$605$	−0.772227	+	2.64680i	−0.0313955	+	0.107608i
$606$	6.22457	+	0.949679i	0.252856	+	0.0385781i
$607$	−4.12589	+	16.4302i	−0.167465	+	0.666883i	0.827036	+	0.562150i	$0.190025\pi$
$607$	−4.12589	+	16.4302i	−0.167465	+	0.666883i	−0.994500	+	0.104734i	$0.966601\pi$
$608$	0.671047	−	0.0254116i	0.0272146	−	0.00103058i
$609$	−15.9644	+	38.0314i	−0.646908	+	1.54111i
$610$	−8.06005	−	11.1825i	−0.326342	−	0.452765i
$611$	−30.1078	−	28.4451i	−1.21803	−	1.15077i
$612$	−0.879590	+	0.274794i	−0.0355553	+	0.0111079i
$613$	−31.7564	−	7.33858i	−1.28263	−	0.296402i	−0.471811	−	0.881700i	$-0.656399\pi$
$613$	−31.7564	−	7.33858i	−1.28263	−	0.296402i	−0.810819	+	0.585297i	$0.800978\pi$
$614$	−1.28523	−	9.64470i	−0.0518675	−	0.389228i
$615$	−4.22519	−	14.4818i	−0.170376	−	0.583963i
$616$	1.78707	+	7.11650i	0.0720029	+	0.286732i
$617$	0.897221	+	9.45341i	0.0361207	+	0.380580i	0.995231	+	0.0975470i	$0.0310996\pi$
$617$	0.897221	+	9.45341i	0.0361207	+	0.380580i	−0.959110	+	0.283033i	$0.908659\pi$
$618$	−16.8350	−	19.9778i	−0.677205	−	0.803623i
$619$	−31.0033	+	23.2504i	−1.24613	+	0.934513i	−0.999402	−	0.0345724i	$-0.988993\pi$
$619$	−31.0033	+	23.2504i	−1.24613	+	0.934513i	−0.246725	+	0.969085i	$0.579355\pi$
$620$	−0.581845	+	0.509453i	−0.0233674	+	0.0204601i
$621$	−7.72094	−	4.13868i	−0.309830	−	0.166079i
$622$	15.5902	+	1.77794i	0.625110	+	0.0712888i
$623$	18.5120	−	18.8657i	0.741667	−	0.755838i
$624$	−9.44019	+	4.60921i	−0.377910	+	0.184516i
$625$	−22.5335	−	18.2709i	−0.901342	−	0.730834i
$626$	8.09059	−	14.4308i	0.323365	−	0.576769i
$627$	2.58804	−	2.44512i	0.103356	−	0.0976486i
$628$	−7.20610	−	1.38029i	−0.287555	−	0.0550796i
$629$	−58.1238	−	37.0719i	−2.31755	−	1.47815i
$630$	−0.485416	−	0.730210i	−0.0193394	−	0.0290923i
$631$	−16.4892	+	11.4171i	−0.656424	+	0.454509i	−0.850146	−	0.526548i	$-0.823486\pi$
$631$	−16.4892	+	11.4171i	−0.656424	+	0.454509i	0.193722	+	0.981056i	$0.437944\pi$
$632$	1.57116	−	16.5542i	0.0624973	−	0.658492i
$633$	−16.6919	+	2.54667i	−0.663442	+	0.101221i
$634$	−0.300227	+	2.25299i	−0.0119235	+	0.0894776i
$635$	2.09321	−	5.56819i	0.0830666	−	0.220967i
$636$	7.18731	−	3.85264i	0.284996	−	0.152767i
$637$	8.95546	−	3.56141i	0.354828	−	0.141108i
$638$	27.7379	−	17.6915i	1.09815	−	0.700412i
$639$	0.613868	+	0.271458i	0.0242843	+	0.0107387i
$640$	1.64866	−	1.81254i	0.0651689	−	0.0716469i
$641$	−23.4904	−	30.1185i	−0.927815	−	1.18961i	−0.981579	−	0.191056i	$-0.938809\pi$
$641$	−23.4904	−	30.1185i	−0.927815	−	1.18961i	0.0537643	−	0.998554i	$-0.482878\pi$
$642$	−0.623514	−	0.635427i	−0.0246081	−	0.0250783i
$643$	40.8922	+	14.4952i	1.61263	+	0.571634i	0.979329	−	0.202272i	$-0.0648325\pi$
$643$	40.8922	+	14.4952i	1.61263	+	0.571634i	0.633300	+	0.773906i	$0.281700\pi$
$644$	1.21573	−	3.64744i	0.0479064	−	0.143729i
$645$	−37.6790	+	16.6620i	−1.48361	+	0.656065i
$646$	−2.23526	+	3.36250i	−0.0879451	+	0.132296i
$647$	0.846211	+	44.7080i	0.0332680	+	1.75765i	0.493401	+	0.869802i	$0.335754\pi$
$647$	0.846211	+	44.7080i	0.0332680	+	1.75765i	−0.460133	+	0.887850i	$0.652198\pi$
$648$	8.02732	−	2.84547i	0.315343	−	0.111781i
$649$	6.09314	+	2.97500i	0.239177	+	0.116779i
$650$	−2.63428	−	5.66478i	−0.103325	−	0.222191i
$651$	−0.481292	−	1.14657i	−0.0188633	−	0.0449375i
$652$	−1.25702	+	2.05563i	−0.0492287	+	0.0805048i
$653$	−18.4564	+	36.0539i	−0.722254	+	1.41090i	0.181738	+	0.983347i	$0.441828\pi$
$653$	−18.4564	+	36.0539i	−0.722254	+	1.41090i	−0.903992	+	0.427550i	$0.859377\pi$
$654$	3.84115	−	18.1840i	0.150201	−	0.711049i
$655$	−21.7960	−	5.91398i	−0.851642	−	0.231078i
$656$	−0.754196	−	3.57036i	−0.0294464	−	0.139399i
$657$	−0.0622463	+	1.09517i	−0.00242846	+	0.0427268i
$658$	−10.0094	+	11.8779i	−0.390208	+	0.463050i
$659$	−13.9659	−	9.67003i	−0.544035	−	0.376691i	0.265184	−	0.964198i	$-0.414567\pi$
$659$	−13.9659	−	9.67003i	−0.544035	−	0.376691i	−0.809219	+	0.587507i	$0.800110\pi$
$660$	0.245838	−	12.9884i	0.00956923	−	0.505573i
$661$	−14.2733	−	42.8230i	−0.555168	−	1.66562i	−0.731939	−	0.681370i	$-0.761384\pi$
$661$	−14.2733	−	42.8230i	−0.555168	−	1.66562i	0.176771	−	0.984252i	$-0.443435\pi$
$662$	1.98104	+	2.17797i	0.0769954	+	0.0846490i
$663$	10.7068	−	62.2509i	0.415817	−	2.41763i
$664$	2.34607	+	4.18456i	0.0910452	+	0.162393i
$665$	−3.66710	−	1.14564i	−0.142204	−	0.0444261i
$666$	−1.51627	−	0.888220i	−0.0587543	−	0.0344178i
$667$	−17.2389			−0.667491
$668$	−12.8776	−	1.08063i	−0.498249	−	0.0418110i
$669$	0.0905097			0.00349931
$670$	−18.4937	−	10.8335i	−0.714474	−	0.418534i
$671$	−16.8746	−	5.27181i	−0.651436	−	0.203516i
$672$	1.92662	+	3.43641i	0.0743210	+	0.132562i
$673$	1.94048	−	11.2823i	0.0748001	−	0.434900i	−0.923841	−	0.382777i	$-0.874968\pi$
$673$	1.94048	−	11.2823i	0.0748001	−	0.434900i	0.998641	−	0.0521224i	$-0.0165986\pi$
$674$	9.06771	+	9.96907i	0.349275	+	0.383994i
$675$	1.68797	+	5.06427i	0.0649700	+	0.194924i
$676$	−0.487635	+	25.7633i	−0.0187552	+	0.990896i
$677$	−9.30168	−	6.44050i	−0.357493	−	0.247529i	0.376899	−	0.926254i	$-0.376990\pi$
$677$	−9.30168	−	6.44050i	−0.357493	−	0.247529i	−0.734392	+	0.678726i	$0.762533\pi$
$678$	−11.1941	+	13.2838i	−0.429907	+	0.510161i
$679$	1.48944	−	26.2056i	0.0571596	−	1.00568i
$680$	3.04479	+	14.4140i	0.116762	+	0.552751i
$681$	−1.39168	−	0.377609i	−0.0533294	−	0.0144700i
$682$	−0.204993	+	0.970436i	−0.00784960	+	0.0371599i
$683$	6.86194	−	13.4045i	0.262565	−	0.512910i	−0.721120	−	0.692810i	$-0.756372\pi$
$683$	6.86194	−	13.4045i	0.262565	−	0.512910i	0.983685	+	0.179900i	$0.0575773\pi$
$684$	−0.0536925	+	0.0878046i	−0.00205299	+	0.00335729i
$685$	9.00689	+	21.4568i	0.344135	+	0.819824i
$686$	−8.41606	−	18.0979i	−0.321327	−	0.690983i
$687$	32.2656	+	15.7538i	1.23101	+	0.601044i
$688$	−9.39313	+	3.32962i	−0.358110	+	0.126940i
$689$	−0.569495	−	30.0882i	−0.0216960	−	1.14627i
$690$	−3.76834	+	5.66870i	−0.143458	+	0.215804i
$691$	32.6663	−	14.4453i	1.24268	−	0.549525i	0.324577	−	0.945859i	$-0.394778\pi$
$691$	32.6663	−	14.4453i	1.24268	−	0.549525i	0.918106	+	0.396334i	$0.129718\pi$
$692$	−3.81227	+	11.4376i	−0.144921	+	0.434793i
$693$	−1.05994	−	0.375719i	−0.0402636	−	0.0142724i
$694$	−10.2868	−	10.4833i	−0.390480	−	0.397941i
$695$	−18.3877	−	23.5760i	−0.697486	−	0.894290i
$696$	11.8859	−	13.0675i	0.450536	−	0.495320i
$697$	20.0666	+	8.87362i	0.760077	+	0.336112i
$698$	−2.71880	+	1.73408i	−0.102908	+	0.0656357i
$699$	1.09874	−	0.436946i	0.0415581	−	0.0165268i
$700$	−2.06489	+	1.10685i	−0.0780455	+	0.0418349i
$701$	10.0344	−	26.6926i	0.378993	−	1.00817i	−0.599224	−	0.800581i	$-0.704524\pi$
$701$	10.0344	−	26.6926i	0.378993	−	1.00817i	0.978217	−	0.207584i	$-0.0665601\pi$
$702$	4.37561	−	32.8358i	0.165147	−	1.23931i
$703$	−7.61151	+	1.16129i	−0.287074	+	0.0437987i
$704$	0.296911	−	3.12835i	0.0111902	−	0.117904i
$705$	22.6098	−	15.6551i	0.851536	−	0.589605i
$706$	−2.68834	−	4.04406i	−0.101177	−	0.152200i
$707$	−7.34681	−	4.68587i	−0.276305	−	0.176230i
$708$	3.57567	+	0.684901i	0.134382	+	0.0257402i
$709$	25.1984	−	23.8069i	0.946347	−	0.894087i	−0.0481509	−	0.998840i	$-0.515333\pi$
$709$	25.1984	−	23.8069i	0.946347	−	0.894087i	0.994498	+	0.104753i	$0.0334051\pi$
$710$	5.24758	−	9.35984i	0.196938	−	0.351269i
$711$	1.97958	+	1.60510i	0.0742400	+	0.0601959i
$712$	−10.1720	+	4.96649i	−0.381210	+	0.186127i
$713$	0.364000	−	0.370955i	0.0136319	−	0.0138924i
$714$	−23.5352	−	2.68400i	−0.880782	−	0.100446i
$715$	−42.2523	−	22.6486i	−1.58015	−	0.847011i
$716$	−7.99027	+	6.99614i	−0.298610	+	0.261458i
$717$	−11.8575	+	8.89236i	−0.442827	+	0.332091i
$718$	6.05213	+	7.18193i	0.225864	+	0.268027i
$719$	1.83371	+	19.3206i	0.0683860	+	0.720537i	0.962244	+	0.272187i	$0.0877470\pi$
$719$	1.83371	+	19.3206i	0.0683860	+	0.720537i	−0.893858	+	0.448350i	$0.852012\pi$
$720$	0.0914594	+	0.364212i	0.00340849	+	0.0135734i
$721$	10.1264	+	34.7081i	0.377126	+	1.29260i
$722$	−2.45014	−	18.3865i	−0.0911847	−	0.684275i
$723$	24.3244	+	5.62113i	0.904635	+	0.209052i
$724$	−8.60129	+	2.68714i	−0.319664	+	0.0998668i
$725$	7.63583	+	7.21415i	0.283588	+	0.267927i
$726$	1.11016	+	1.54023i	0.0412018	+	0.0571631i
$727$	−7.29047	+	17.3679i	−0.270389	+	0.644139i	−0.999175	−	0.0406017i	$-0.987073\pi$
$727$	−7.29047	+	17.3679i	−0.270389	+	0.644139i	0.728787	+	0.684741i	$0.240085\pi$
$728$	14.5281	−	0.550158i	0.538446	−	0.0203902i
$729$	−6.87670	+	27.3846i	−0.254693	+	1.01424i
$730$	17.3360	+	2.64494i	0.641633	+	0.0978938i
$731$	16.7827	−	57.5227i	0.620732	−	2.12755i
$732$	−9.48540	−	0.359199i	−0.350590	−	0.0132764i
$733$	11.8156	−	25.4084i	0.436420	−	0.938480i	−0.557685	−	0.830053i	$-0.688310\pi$
$733$	11.8156	−	25.4084i	0.436420	−	0.938480i	0.994104	−	0.108427i	$-0.0345815\pi$
$734$	11.8168	−	9.58138i	0.436165	−	0.353655i
$735$	1.08464	+	6.30630i	0.0400077	+	0.232611i
$736$	−1.01264	+	1.29837i	−0.0373264	+	0.0478586i
$737$	−27.3115	+	3.11466i	−1.00603	+	0.114730i
$738$	0.519690	+	0.206671i	0.0191301	+	0.00760765i
$739$	30.7677	−	5.89340i	1.13181	−	0.216792i	0.412148	−	0.911117i	$-0.364779\pi$
$739$	30.7677	−	5.89340i	1.13181	−	0.216792i	0.719662	+	0.694325i	$0.244297\pi$
$740$	−16.4266	+	22.7902i	−0.603854	+	0.837784i
$741$	−3.68034	−	6.01854i	−0.135201	−	0.221097i
$742$	−11.2532	+	0.853509i	−0.413118	+	0.0313333i
$743$	23.7819	+	17.8349i	0.872474	+	0.654298i	0.939161	−	0.343476i	$-0.111604\pi$
$743$	23.7819	+	17.8349i	0.872474	+	0.654298i	−0.0666874	+	0.997774i	$0.521243\pi$
$744$	0.0302195	+	0.531689i	0.00110790	+	0.0194927i
$745$	17.3813	−	4.71611i	0.636801	−	0.172785i
$746$	1.72423	+	3.36822i	0.0631286	+	0.123319i
$747$	−0.733149	−	0.0556064i	−0.0268245	−	0.00203453i
$748$	14.2152	+	12.4466i	0.519761	+	0.455093i
$749$	0.433526	+	1.15323i	0.0158407	+	0.0421381i
$750$	−16.0979	+	3.72005i	−0.587811	+	0.135837i
$751$	1.06010	−	0.620998i	0.0386836	−	0.0226605i	−0.485984	−	0.873967i	$-0.661539\pi$
$751$	1.06010	−	0.620998i	0.0386836	−	0.0226605i	0.524668	+	0.851307i	$0.324189\pi$
$752$	5.73997	−	3.36243i	0.209315	−	0.122615i
$753$	−11.5029	+	2.65819i	−0.419187	+	0.0968699i
$754$	−22.9382	−	61.0183i	−0.835360	−	2.22215i
$755$	−41.6733	−	36.4884i	−1.51665	−	1.32795i
$756$	−12.3872	−	0.939515i	−0.450516	−	0.0341698i
$757$	7.92665	+	15.4844i	0.288099	+	0.562791i	0.988547	−	0.150913i	$-0.0482213\pi$
$757$	7.92665	+	15.4844i	0.288099	+	0.562791i	−0.700448	+	0.713703i	$0.747016\pi$
$758$	3.05249	−	0.828242i	0.110872	−	0.0300831i
$759$	0.495390	+	8.71599i	0.0179815	+	0.316370i
$760$	1.31633	+	0.987162i	0.0477484	+	0.0358081i
$761$	5.48594	−	0.416087i	0.198865	−	0.0150831i	0.0241809	−	0.999708i	$-0.492302\pi$
$761$	5.48594	−	0.416087i	0.198865	−	0.0150831i	0.174684	+	0.984624i	$0.444109\pi$
$762$	−2.13702	−	3.49471i	−0.0774159	−	0.126600i
$763$	−15.0392	+	20.8653i	−0.544455	+	0.755375i
$764$	25.7659	−	4.93533i	0.932178	−	0.178554i
$765$	−2.09806	−	0.834357i	−0.0758554	−	0.0301662i
$766$	27.9361	−	3.18589i	1.00937	−	0.115111i
$767$	8.26263	−	10.5940i	0.298346	−	0.382529i
$768$	−0.285993	−	1.66281i	−0.0103199	−	0.0600016i
$769$	13.3805	−	10.8493i	0.482513	−	0.391236i	−0.357404	−	0.933950i	$-0.616338\pi$
$769$	13.3805	−	10.8493i	0.482513	−	0.391236i	0.839918	+	0.542714i	$0.182603\pi$
$770$	−7.58072	+	16.3016i	−0.273190	+	0.587470i
$771$	−9.00308	−	0.340934i	−0.324238	−	0.0122784i
$772$	5.41430	−	18.5575i	0.194865	−	0.667898i
$773$	−26.8962	−	4.10354i	−0.967387	−	0.147594i	−0.352157	−	0.935941i	$-0.614552\pi$
$773$	−26.8962	−	4.10354i	−0.967387	−	0.147594i	−0.615231	+	0.788347i	$0.710937\pi$
$774$	0.372000	−	1.48139i	0.0133713	−	0.0532475i
$775$	−0.316469	+	0.0119843i	−0.0113679	+	0.000430487i
$776$	−4.35089	+	10.3650i	−0.156188	+	0.372082i
$777$	−26.4124	−	36.6444i	−0.947539	−	1.31461i
$778$	17.9556	+	16.9640i	0.643739	+	0.608190i
$779$	2.33901	−	0.730735i	0.0838039	−	0.0261813i
$780$	−25.0790	−	5.79550i	−0.897972	−	0.207512i
$781$	−1.81783	−	13.6415i	−0.0650471	−	0.488132i
$782$	−2.77289	−	9.50404i	−0.0991582	−	0.339864i
$783$	13.5661	+	54.0235i	0.484814	+	1.93064i
$784$	0.146251	+	1.54094i	0.00522323	+	0.0550337i
$785$	−11.5844	−	13.7470i	−0.413467	−	0.490651i
$786$	−12.4418	+	9.33053i	−0.443784	+	0.332809i
$787$	0.630693	−	0.552224i	0.0224818	−	0.0196846i	−0.647438	−	0.762118i	$-0.724160\pi$
$787$	0.630693	−	0.552224i	0.0224818	−	0.0196846i	0.669920	+	0.742433i	$0.266328\pi$
$788$	4.73386	+	2.53751i	0.168637	+	0.0903949i
$789$	−40.5226	−	4.62128i	−1.44264	−	0.164522i
$790$	28.5358	−	29.0810i	1.01526	−	1.03466i
$791$	21.6031	−	10.5478i	0.768119	−	0.375036i
$792$	0.374092	+	0.303325i	0.0132928	+	0.0107782i
$793$	−17.1304	+	30.5547i	−0.608319	+	1.08503i
$794$	−20.4548	+	19.3253i	−0.725915	+	0.685828i
$795$	19.6239	+	3.75885i	0.695987	+	0.133313i
$796$	18.7689	+	11.9710i	0.665245	+	0.424300i
$797$	25.7477	+	38.7322i	0.912029	+	1.37196i	0.928195	+	0.372094i	$0.121360\pi$
$797$	25.7477	+	38.7322i	0.912029	+	1.37196i	−0.0161658	+	0.999869i	$0.505146\pi$
$798$	−2.17508	+	1.50603i	−0.0769970	+	0.0533129i
$799$	−3.77922	+	39.8191i	−0.133699	+	1.40870i
$800$	0.991887	−	0.151332i	0.0350685	−	0.00535039i
$801$	0.229160	−	1.71968i	0.00809696	−	0.0607619i
$802$	11.0908	−	29.5027i	0.391628	−	1.04178i
$803$	19.8228	−	10.6257i	0.699531	−	0.374972i
$804$	−13.7145	+	5.45400i	−0.483674	+	0.192348i
$805$	7.94228	−	5.06566i	0.279929	−	0.178541i
$806$	1.79737	+	0.794811i	0.0633096	+	0.0279960i
$807$	−0.592862	+	0.651794i	−0.0208697	+	0.0229443i
$808$	2.29512	+	2.94272i	0.0807422	+	0.103525i
$809$	31.7349	+	32.3412i	1.11574	+	1.13706i	0.989422	+	0.145066i	$0.0463395\pi$
$809$	31.7349	+	32.3412i	1.11574	+	1.13706i	0.126316	+	0.991990i	$0.459685\pi$
$810$	19.6683	+	6.97191i	0.691075	+	0.244968i
$811$	−12.3383	+	37.0174i	−0.433255	+	1.29986i	0.474463	+	0.880276i	$0.342642\pi$
$811$	−12.3383	+	37.0174i	−0.433255	+	1.29986i	−0.907718	+	0.419581i	$0.862177\pi$
$812$	−22.3577	+	9.88676i	−0.784601	+	0.346957i
$813$	6.46403	−	9.72383i	0.226704	−	0.341029i
$814$	0.681839	+	36.0237i	0.0238984	+	1.26263i
$815$	−5.56447	+	1.97246i	−0.194915	+	0.0690922i
$816$	9.11615	+	4.45099i	0.319129	+	0.155816i
$817$	−2.82192	−	6.06827i	−0.0987263	−	0.212302i
$818$	4.86446	+	11.5885i	0.170082	+	0.405181i
$819$	−1.16244	+	1.90096i	−0.0406188	+	0.0664249i
$820$	4.07422	−	7.95883i	0.142278	−	0.277935i
$821$	4.63297	−	21.9324i	0.161692	−	0.765448i	−0.819602	−	0.572933i	$-0.805806\pi$
$821$	4.63297	−	21.9324i	0.161692	−	0.765448i	0.981294	−	0.192515i	$-0.0616643\pi$
$822$	15.4653	+	4.19624i	0.539414	+	0.146361i
$823$	−3.26608	−	15.4616i	−0.113848	−	0.538957i	−0.997491	−	0.0707950i	$-0.977446\pi$
$823$	−3.26608	−	15.4616i	−0.113848	−	0.538957i	0.883642	−	0.468162i	$-0.155084\pi$
$824$	0.878652	−	15.4592i	0.0306093	−	0.538546i
$825$	3.42806	−	4.06800i	0.119350	−	0.141630i
$826$	−4.14234	−	2.86816i	−0.144130	−	0.0997961i
$827$	−0.645999	+	34.1302i	−0.0224636	+	1.18682i	0.793445	+	0.608641i	$0.208285\pi$
$827$	−0.645999	+	34.1302i	−0.0224636	+	1.18682i	−0.815909	+	0.578180i	$0.803763\pi$
$828$	−0.0797976	−	0.239410i	−0.00277316	−	0.00832006i
$829$	27.9967	+	30.7797i	0.972367	+	1.06902i	0.997593	+	0.0693419i	$0.0220899\pi$
$829$	27.9967	+	30.7797i	0.972367	+	1.06902i	−0.0252260	+	0.999682i	$0.508031\pi$
$830$	−1.99242	+	11.5843i	−0.0691580	+	0.402096i
$831$	−13.3270	−	23.7707i	−0.462310	−	0.824598i
$832$	−5.94311	−	1.85670i	−0.206040	−	0.0643693i
$833$	−8.03041	−	4.70415i	−0.278237	−	0.162989i
$834$	−20.5888			−0.712930
$835$	−22.8407	−	21.9286i	−0.790434	−	0.758872i
$836$	2.11021			0.0729833
$837$	−1.44896	−	0.848788i	−0.0500833	−	0.0293384i
$838$	5.33568	+	1.66693i	0.184318	+	0.0575830i
$839$	0.908461	+	1.62038i	0.0313636	+	0.0559416i	0.887498	−	0.460812i	$-0.152442\pi$
$839$	0.908461	+	1.62038i	0.0313636	+	0.0559416i	−0.856134	+	0.516753i	$0.827140\pi$
$840$	−1.63620	+	9.51314i	−0.0564543	+	0.328234i
$841$	54.2410	+	59.6327i	1.87038	+	2.05630i
$842$	−0.691714	−	2.07529i	−0.0238380	−	0.0715191i
$843$	−0.597392	+	31.5621i	−0.0205753	+	1.08706i
$844$	−8.22777	−	5.69692i	−0.283212	−	0.196096i
$845$	−40.6846	+	48.2795i	−1.39959	+	1.66086i
$846$	−0.0578546	+	1.01791i	−0.00198908	+	0.0349963i
$847$	−0.543050	−	2.57079i	−0.0186594	−	0.0883335i
$848$	4.66458	+	1.26565i	0.160182	+	0.0434627i
$849$	3.58214	−	16.9578i	0.122939	−	0.581992i
$850$	−2.74904	+	5.37015i	−0.0942913	+	0.184195i
$851$	9.84914	−	16.1065i	0.337624	−	0.552125i
$852$	−2.85999	−	6.81326i	−0.0979815	−	0.233418i
$853$	5.52439	+	11.8797i	0.189152	+	0.406753i	0.978225	−	0.207546i	$-0.0665476\pi$
$853$	5.52439	+	11.8797i	0.189152	+	0.406753i	−0.789074	+	0.614298i	$0.789439\pi$
$854$	11.8045	+	5.76358i	0.403941	+	0.197226i
$855$	−0.237682	+	0.0842518i	−0.00812854	+	0.00288135i
$856$	−0.00998509	−	0.527544i	−0.000341283	−	0.0180311i
$857$	19.1730	−	28.8419i	0.654937	−	0.985219i	−0.343993	−	0.938972i	$-0.611780\pi$
$857$	19.1730	−	28.8419i	0.654937	−	0.985219i	0.998930	−	0.0462473i	$-0.0147262\pi$
$858$	−30.1918	+	13.3511i	−1.03073	+	0.455798i
$859$	−1.41567	+	4.24731i	−0.0483021	+	0.144917i	−0.970070	−	0.242826i	$-0.921926\pi$
$859$	−1.41567	+	4.24731i	−0.0483021	+	0.144917i	0.921768	+	0.387742i	$0.126745\pi$
$860$	−23.0148	−	8.15814i	−0.784799	−	0.278190i
$861$	10.0690	+	10.2613i	0.343149	+	0.349705i
$862$	−10.6097	−	13.6033i	−0.361366	−	0.463330i
$863$	23.4870	−	25.8217i	0.799507	−	0.878981i	−0.195302	−	0.980743i	$-0.562569\pi$
$863$	23.4870	−	25.8217i	0.799507	−	0.878981i	0.994809	+	0.101763i	$0.0324482\pi$
$864$	4.86576	+	2.15168i	0.165536	+	0.0732016i
$865$	−24.9053	+	15.8848i	−0.846806	+	0.540101i
$866$	−16.9581	+	6.74389i	−0.576258	+	0.229167i
$867$	−28.4803	+	15.2664i	−0.967240	+	0.518472i
$868$	0.259336	−	0.689865i	0.00880245	−	0.0234155i
$869$	6.90219	−	51.7960i	0.234141	−	1.75706i
$870$	42.7860	−	6.52784i	1.45058	−	0.221315i
$871$	−5.14623	+	54.2223i	−0.174373	+	1.83725i
$872$	9.05625	−	6.27056i	0.306683	−	0.212348i
$873$	−0.953772	−	1.43476i	−0.0322803	−	0.0485592i
$874$	−0.932243	−	0.594593i	−0.0315336	−	0.0201124i
$875$	22.4569	+	4.30151i	0.759183	+	0.145418i
$876$	8.77792	−	8.29318i	0.296578	−	0.280201i
$877$	8.65697	−	15.4410i	0.292325	−	0.521405i	−0.686232	−	0.727383i	$-0.740736\pi$
$877$	8.65697	−	15.4410i	0.292325	−	0.521405i	0.978557	+	0.205978i	$0.0660376\pi$
$878$	0.897614	+	0.727811i	0.0302930	+	0.0245624i
$879$	40.4937	−	19.7712i	1.36582	−	0.666866i
$880$	5.39257	−	5.49561i	0.181784	−	0.185257i
$881$	−13.5973	−	1.55067i	−0.458106	−	0.0522434i	−0.118798	−	0.992919i	$-0.537904\pi$
$881$	−13.5973	−	1.55067i	−0.458106	−	0.0522434i	−0.339309	+	0.940675i	$0.610193\pi$
$882$	−0.209086	−	0.112077i	−0.00704029	−	0.00377383i
$883$	30.4407	−	26.6533i	1.02441	−	0.896955i	0.0296874	−	0.999559i	$-0.490549\pi$
$883$	30.4407	−	26.6533i	1.02441	−	0.896955i	0.994722	+	0.102604i	$0.0327175\pi$
$884$	29.9507	−	22.4610i	1.00735	−	0.755446i
$885$	5.74821	+	6.82127i	0.193224	+	0.229294i
$886$	1.37006	+	14.4354i	0.0460282	+	0.484968i
$887$	−0.412715	−	1.64353i	−0.0138576	−	0.0551843i	0.962566	−	0.271047i	$-0.0873700\pi$
$887$	−0.412715	−	1.64353i	−0.0138576	−	0.0551843i	−0.976424	+	0.215863i	$0.930744\pi$
$888$	5.41828	+	18.5711i	0.181826	+	0.623205i
$889$	0.748811	+	5.61929i	0.0251143	+	0.188465i
$890$	−27.0230	−	6.24474i	−0.905814	−	0.209324i
$891$	25.5454	−	7.98067i	0.855803	−	0.267363i
$892$	0.0389934	+	0.0368401i	0.00130560	+	0.00123350i
$893$	2.61206	+	3.62396i	0.0874093	+	0.121271i
$894$	4.80011	−	11.4352i	0.160540	−	0.382449i
$895$	−26.0029	+	0.984695i	−0.869182	+	0.0329147i
$896$	−0.568693	+	2.26467i	−0.0189987	+	0.0756572i
$897$	17.0999	+	2.60893i	0.570950	+	0.0871096i
$898$	−3.30876	+	11.3407i	−0.110415	+	0.378445i
$899$	−3.30218	−	0.125049i	−0.110134	−	0.00417061i
$900$	−0.0648429	+	0.139439i	−0.00216143	+	0.00464795i
$901$	−22.5728	+	18.3027i	−0.752008	+	0.609750i
$902$	−1.94373	−	11.3012i	−0.0647191	−	0.376287i
$903$	24.1459	−	30.9590i	0.803525	−	1.03025i
$904$	−10.2295	+	1.16660i	−0.340230	+	0.0388005i
$905$	−20.5164	−	8.15896i	−0.681988	−	0.271213i
$906$	−37.4615	+	7.17555i	−1.24457	+	0.238392i
$907$	−22.4654	+	31.1684i	−0.745953	+	1.03493i	0.251790	+	0.967782i	$0.418981\pi$
$907$	−22.4654	+	31.1684i	−0.745953	+	1.03493i	−0.997743	+	0.0671493i	$0.978610\pi$
$908$	−0.445867	−	0.729137i	−0.0147966	−	0.0241973i
$909$	−0.570325	+	0.0432569i	−0.0189165	+	0.00143474i
$910$	28.4984	+	21.3719i	0.944713	+	0.708472i
$911$	−1.74477	−	30.6978i	−0.0578067	−	1.01706i	−0.888075	−	0.459699i	$-0.847957\pi$
$911$	−1.74477	−	30.6978i	−0.0578067	−	1.01706i	0.830268	−	0.557364i	$-0.188187\pi$
$912$	1.09348	−	0.296698i	0.0362089	−	0.00982465i
$913$	6.86942	+	13.4192i	0.227345	+	0.444109i
$914$	−12.8669	−	0.975900i	−0.425598	−	0.0322799i
$915$	−17.4980	−	15.3210i	−0.578468	−	0.506496i
$916$	7.48843	+	19.9201i	0.247425	+	0.658179i
$917$	20.9697	−	4.84588i	0.692480	−	0.160025i
$918$	−27.6018	+	16.1689i	−0.910996	+	0.533654i
$919$	7.83740	−	4.59109i	0.258532	−	0.151446i	−0.370483	−	0.928839i	$-0.620808\pi$
$919$	7.83740	−	4.59109i	0.258532	−	0.151446i	0.629015	+	0.777393i	$0.283458\pi$
$920$	−3.93080	+	0.908368i	−0.129595	+	0.0299480i
$921$	−5.77671	−	15.3667i	−0.190349	−	0.506350i
$922$	5.32947	+	4.66639i	0.175517	+	0.153679i
$923$	−27.1903	−	2.06227i	−0.894978	−	0.0678805i
$924$	5.64125	+	11.0200i	0.185583	+	0.362530i
$925$	−11.1029	+	3.01258i	−0.365061	+	0.0990531i
$926$	1.76067	+	30.9776i	0.0578591	+	1.01799i
$927$	1.89857	+	1.42380i	0.0623572	+	0.0467638i
$928$	10.4395	−	0.791797i	0.342695	−	0.0259920i
$929$	−13.6276	−	22.2855i	−0.447106	−	0.731163i	0.547283	−	0.836948i	$-0.315662\pi$
$929$	−13.6276	−	22.2855i	−0.447106	−	0.731163i	−0.994389	+	0.105785i	$0.966265\pi$
$930$	−0.762961	+	1.05853i	−0.0250185	+	0.0347105i
$931$	−1.02088	+	0.195544i	−0.0334579	+	0.00640869i
$932$	0.651209	+	0.258973i	0.0213311	+	0.00848294i
$933$	26.3042	−	2.99979i	0.861161	−	0.0982086i
$934$	−2.23420	+	2.86461i	−0.0731054	+	0.0937330i
$935$	7.84709	+	45.6242i	0.256627	+	1.49207i
$936$	0.741230	−	0.601011i	0.0242278	−	0.0196446i
$937$	3.45298	−	7.42531i	0.112804	−	0.242574i	−0.842201	−	0.539163i	$-0.818741\pi$
$937$	3.45298	−	7.42531i	0.112804	−	0.242574i	0.955005	+	0.296589i	$0.0958491\pi$
$938$	20.4109	+	0.772931i	0.666438	+	0.0252371i
$939$	7.81806	−	26.7963i	0.255133	−	0.874465i
$940$	16.1129	+	2.45833i	0.525544	+	0.0801820i
$941$	−3.06455	+	12.2037i	−0.0999013	+	0.397830i	−0.999221	−	0.0394616i	$-0.987436\pi$
$941$	−3.06455	+	12.2037i	−0.0999013	+	0.397830i	0.899320	+	0.437292i	$0.144062\pi$
$942$	−12.3705	+	0.468453i	−0.403052	+	0.0152630i
$943$	−2.32562	+	5.54027i	−0.0757328	+	0.180416i
$944$	1.26170	+	1.75047i	0.0410648	+	0.0569730i
$945$	−22.1251	−	20.9033i	−0.719728	−	0.679983i
$946$	−29.8918	+	9.33854i	−0.971866	+	0.303622i
$947$	−12.6277	−	2.91813i	−0.410345	−	0.0948264i	0.0149349	−	0.999888i	$-0.495246\pi$
$947$	−12.6277	−	2.91813i	−0.410345	−	0.0948264i	−0.425279	+	0.905062i	$0.639824\pi$
$948$	−3.70594	−	27.8104i	−0.120363	−	0.903241i
$949$	−12.4815	−	42.7804i	−0.405168	−	1.38871i
$950$	0.164104	+	0.653498i	0.00532422	+	0.0212023i
$951$	0.362342	+	3.81775i	0.0117497	+	0.123799i
$952$	−9.04697	−	10.7358i	−0.293214	−	0.347950i
$953$	−7.53880	+	5.65360i	−0.244206	+	0.183138i	−0.715040	−	0.699084i	$-0.753592\pi$
$953$	−7.53880	+	5.65360i	−0.244206	+	0.183138i	0.470834	+	0.882222i	$0.343953\pi$
$954$	−0.557313	+	0.487974i	−0.0180437	+	0.0157987i
$955$	56.6529	+	30.3678i	1.83324	+	0.982679i
$956$	−8.72792	−	0.995350i	−0.282281	−	0.0321919i
$957$	38.8776	−	39.6204i	1.25673	−	1.28075i
$958$	26.4302	−	12.9046i	0.853920	−	0.416929i
$959$	−17.2256	−	13.9670i	−0.556243	−	0.451018i
$960$	2.02167	−	3.60595i	0.0652491	−	0.116381i
$961$	−22.4612	+	21.2209i	−0.724556	+	0.684544i
$962$	70.1157	+	13.4303i	2.26062	+	0.433010i
$963$	0.0681798	+	0.0434857i	0.00219706	+	0.00140131i
$964$	8.19150	+	12.3225i	0.263831	+	0.396880i
$965$	38.9412	−	26.9630i	1.25356	−	0.867969i
$966$	0.612917	−	6.45789i	0.0197203	−	0.207779i
$967$	3.74562	−	0.571468i	0.120451	−	0.0183772i	−0.0903186	−	0.995913i	$-0.528789\pi$
$967$	3.74562	−	0.571468i	0.120451	−	0.0183772i	0.210770	+	0.977536i	$0.432403\pi$
$968$	−0.148639	+	1.11543i	−0.00477743	+	0.0358512i
$969$	−2.39718	+	6.37677i	−0.0770084	+	0.204851i
$970$	−24.2752	+	13.0123i	−0.779431	+	0.417800i
$971$	−29.7569	+	11.8337i	−0.954944	+	0.379762i	−0.794487	−	0.607281i	$-0.792260\pi$
$971$	−29.7569	+	11.8337i	−0.954944	+	0.379762i	−0.160456	+	0.987043i	$0.551297\pi$
$972$	−1.34153	+	0.855638i	−0.0430294	+	0.0274446i
$973$	26.0589	+	11.5235i	0.835410	+	0.369425i
$974$	27.6919	−	30.4446i	0.887307	−	0.975508i
$975$	−6.48250	−	8.31162i	−0.207606	−	0.266185i
$976$	−3.94030	−	4.01559i	−0.126126	−	0.128536i
$977$	30.4550	+	10.7955i	0.974341	+	0.345378i	0.773185	−	0.634181i	$-0.218663\pi$
$977$	30.4550	+	10.7955i	0.974341	+	0.345378i	0.201156	+	0.979559i	$0.435530\pi$
$978$	−1.28551	+	3.85679i	−0.0411060	+	0.123327i
$979$	−32.5321	+	14.3860i	−1.03973	+	0.459778i
$980$	−2.09956	+	3.15837i	−0.0670681	+	0.100890i
$981$	0.0319482	+	1.68792i	0.00102003	+	0.0538912i
$982$	7.49588	−	2.65709i	0.239203	−	0.0847912i
$983$	42.2970	+	20.6516i	1.34906	+	0.658685i	0.964419	−	0.264380i	$-0.0851672\pi$
$983$	42.2970	+	20.6516i	1.34906	+	0.658685i	0.384645	+	0.923065i	$0.374324\pi$
$984$	−2.59617	−	5.58281i	−0.0827627	−	0.177974i
$985$	5.09361	+	12.1344i	0.162296	+	0.386633i
$986$	−32.8403	+	53.7045i	−1.04585	+	1.71030i
$987$	−11.9422	+	23.3287i	−0.380125	+	0.742560i
$988$	0.864158	−	4.09092i	0.0274925	−	0.130149i
$989$	15.8368	+	4.29705i	0.503581	+	0.136638i
$990$	0.243887	+	1.15456i	0.00775124	+	0.0366943i
$991$	1.59571	−	28.0753i	0.0506894	−	0.891840i	−0.867928	−	0.496691i	$-0.834548\pi$
$991$	1.59571	−	28.0753i	0.0506894	−	0.891840i	0.918617	−	0.395149i	$-0.129307\pi$
$992$	−0.203394	+	0.241363i	−0.00645776	+	0.00766328i
$993$	4.08403	+	2.82779i	0.129603	+	0.0897372i
$994$	−0.193518	+	10.2242i	−0.00613802	+	0.324291i
$995$	17.2474	+	51.7459i	0.546780	+	1.64046i
$996$	5.44639	+	5.98778i	0.172575	+	0.189730i
$997$	6.06792	−	35.2799i	0.192173	−	1.11733i	−0.715803	−	0.698303i	$-0.753939\pi$
$997$	6.06792	−	35.2799i	0.192173	−	1.11733i	0.907976	−	0.419023i	$-0.137627\pi$
$998$	−18.9656	−	33.8280i	−0.600346	−	1.07081i
$999$	−58.2258	−	18.1904i	−1.84218	−	0.575518i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	334.2.c.a.107.6	✓	574
167.64	even	83	inner	334.2.c.a.231.6	yes	574

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
334.2.c.a.107.6	✓	574	1.1	even	1	trivial
334.2.c.a.231.6	yes	574	167.64	even	83	inner

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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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	334.2.c.a.107.6

Level	$334$
Weight	$2$
Character	334.107
Analytic conductor	$2.667$
Analytic rank	$0$
Dimension	$574$
Inner twists	$2$