LMFDB - Embedded newform 700.2.t.c.299.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [700,2,Mod(199,700)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(700, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1]))

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

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

chi := DirichletCharacter("700.199");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 700 = 2^{2} \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	700.t (of order $6$, degree $2$, not 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:	$5.58952814149$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	no (minimal twist has level 140)
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			299.8
Character	$\chi$	$=$	700.299
Dual form			700.2.t.c.199.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.242400 - 1.39328i) q^{2} +(-0.703249 + 0.406021i) q^{3} +(-1.88248 - 0.675465i) q^{4} +(0.395235 + 1.07825i) q^{6} +(-2.62428 + 0.336411i) q^{7} +(-1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +O(q^{10})$	\(q+(0.242400 - 1.39328i) q^{2} +(-0.703249 + 0.406021i) q^{3} +(-1.88248 - 0.675465i) q^{4} +(0.395235 + 1.07825i) q^{6} +(-2.62428 + 0.336411i) q^{7} +(-1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +(4.20925 - 2.43021i) q^{11} +(1.59811 - 0.289308i) q^{12} +0.895933 q^{13} +(-0.167409 + 3.73791i) q^{14} +(3.08749 + 2.54310i) q^{16} +(2.94582 + 5.10231i) q^{17} +(2.54052 + 2.12190i) q^{18} +(1.45818 - 2.52565i) q^{19} +(1.70893 - 1.30209i) q^{21} +(-2.36566 - 6.45377i) q^{22} +(-0.780755 + 1.35231i) q^{23} +(-0.0157066 - 2.29675i) q^{24} +(0.217174 - 1.24829i) q^{26} -4.33678i q^{27} +(5.16739 + 1.13932i) q^{28} +9.73084 q^{29} +(2.20757 + 3.82363i) q^{31} +(4.29168 - 3.68531i) q^{32} +(-1.97344 + 3.41809i) q^{33} +(7.82304 - 2.86757i) q^{34} +(3.57223 - 3.02532i) q^{36} +(1.57735 + 0.910682i) q^{37} +(-3.16548 - 2.64388i) q^{38} +(-0.630064 + 0.363768i) q^{39} +10.4920i q^{41} +(-1.39994 - 2.69665i) q^{42} -3.04581 q^{43} +(-9.56538 + 1.73164i) q^{44} +(1.69489 + 1.41561i) q^{46} +(-4.52006 - 2.60966i) q^{47} +(-3.20383 - 0.534848i) q^{48} +(6.77366 - 1.76567i) q^{49} +(-4.14329 - 2.39213i) q^{51} +(-1.68658 - 0.605172i) q^{52} +(-0.155645 + 0.0898619i) q^{53} +(-6.04237 - 1.05124i) q^{54} +(2.83997 - 6.92348i) q^{56} +2.36821i q^{57} +(2.35876 - 13.5578i) q^{58} +(5.68287 + 9.84302i) q^{59} +(-5.33107 - 3.07789i) q^{61} +(5.86252 - 2.14893i) q^{62} +(2.38927 - 5.71313i) q^{63} +(-4.09438 - 6.87285i) q^{64} +(4.28401 + 3.57810i) q^{66} +(3.89952 + 6.75417i) q^{67} +(-2.09903 - 11.5948i) q^{68} -1.26801i q^{69} -8.38078i q^{71} +(-3.34922 - 5.71048i) q^{72} +(4.39048 + 7.60453i) q^{73} +(1.65119 - 1.97695i) q^{74} +(-4.45099 + 3.76954i) q^{76} +(-10.2287 + 7.79359i) q^{77} +(0.354104 + 0.966036i) q^{78} +(-3.14686 - 1.81684i) q^{79} +(-1.75006 - 3.03119i) q^{81} +(14.6184 + 2.54327i) q^{82} +2.03796i q^{83} +(-4.09655 + 1.29685i) q^{84} +(-0.738304 + 4.24367i) q^{86} +(-6.84320 + 3.95092i) q^{87} +(0.0940110 + 13.7470i) q^{88} +(-1.52812 - 0.882262i) q^{89} +(-2.35118 + 0.301402i) q^{91} +(2.38320 - 2.01832i) q^{92} +(-3.10495 - 1.79264i) q^{93} +(-4.73166 + 5.66515i) q^{94} +(-1.52181 + 4.33420i) q^{96} +7.83641 q^{97} +(-0.818148 - 9.86563i) q^{98} +11.3763i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 2 q^{4} + 16 q^{9}+O(q^{10}) $ 32 * q + 2 * q^4 + 16 * q^9	$ 32 q + 2 q^{4} + 16 q^{9} - 14 q^{12} - 8 q^{13} - 2 q^{14} - 14 q^{16} + 54 q^{18} - 12 q^{21} - 36 q^{24} + 30 q^{26} + 32 q^{28} + 40 q^{29} + 60 q^{32} - 24 q^{33} + 60 q^{36} - 60 q^{37} - 46 q^{38} + 78 q^{42} + 18 q^{44} + 2 q^{46} - 28 q^{48} + 16 q^{49} - 46 q^{52} - 12 q^{53} - 12 q^{54} - 4 q^{56} + 42 q^{58} + 24 q^{61} + 8 q^{62} - 4 q^{64} + 24 q^{66} - 4 q^{68} + 90 q^{72} - 24 q^{73} - 38 q^{74} + 20 q^{77} - 36 q^{81} + 8 q^{82} + 20 q^{84} + 28 q^{86} - 78 q^{88} + 60 q^{89} + 72 q^{93} - 18 q^{94} - 60 q^{96} - 48 q^{97} - 124 q^{98}+O(q^{100}) $ 32 * q + 2 * q^4 + 16 * q^9 - 14 * q^12 - 8 * q^13 - 2 * q^14 - 14 * q^16 + 54 * q^18 - 12 * q^21 - 36 * q^24 + 30 * q^26 + 32 * q^28 + 40 * q^29 + 60 * q^32 - 24 * q^33 + 60 * q^36 - 60 * q^37 - 46 * q^38 + 78 * q^42 + 18 * q^44 + 2 * q^46 - 28 * q^48 + 16 * q^49 - 46 * q^52 - 12 * q^53 - 12 * q^54 - 4 * q^56 + 42 * q^58 + 24 * q^61 + 8 * q^62 - 4 * q^64 + 24 * q^66 - 4 * q^68 + 90 * q^72 - 24 * q^73 - 38 * q^74 + 20 * q^77 - 36 * q^81 + 8 * q^82 + 20 * q^84 + 28 * q^86 - 78 * q^88 + 60 * q^89 + 72 * q^93 - 18 * q^94 - 60 * q^96 - 48 * q^97 - 124 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/700\mathbb{Z}\right)^\times$.

$n$	$101$	$351$	$477$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$-1$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	0.242400	−	1.39328i	0.171403	−	0.985201i
$2$	0.242400	−	1.39328i	0.171403	−	0.985201i
$3$	−0.703249	+	0.406021i	−0.406021	+	0.234416i	−0.689079	−	0.724687i	$-0.741985\pi$
$3$	−0.703249	+	0.406021i	−0.406021	+	0.234416i	0.283058	+	0.959103i	$0.408651\pi$
$4$	−1.88248	−	0.675465i	−0.941242	−	0.337733i
$5$		0			0
$5$		0			0
$6$	0.395235	+	1.07825i	0.161354	+	0.440192i
$7$	−2.62428	+	0.336411i	−0.991883	+	0.127151i
$7$	−2.62428	+	0.336411i	−0.991883	+	0.127151i
$8$	−1.39743	+	2.45910i	−0.494066	+	0.869424i
$9$	−1.17029	+	2.02701i	−0.390098	+	0.675670i
$10$		0			0
$11$	4.20925	−	2.43021i	1.26914	−	0.732737i	0.294313	−	0.955709i	$-0.404909\pi$
$11$	4.20925	−	2.43021i	1.26914	−	0.732737i	0.974825	+	0.222972i	$0.0715759\pi$
$12$	1.59811	−	0.289308i	0.461334	−	0.0835160i
$13$	0.895933			0.248487			0.124244	−	0.992252i	$-0.460350\pi$
$13$	0.895933			0.248487			0.124244	+	0.992252i	$0.460350\pi$
$14$	−0.167409	+	3.73791i	−0.0447419	+	0.998999i
$15$		0			0
$16$	3.08749	+	2.54310i	0.771873	+	0.635776i
$17$	2.94582	+	5.10231i	0.714467	+	1.23749i	0.963165	+	0.268911i	$0.0866639\pi$
$17$	2.94582	+	5.10231i	0.714467	+	1.23749i	−0.248698	+	0.968581i	$0.580003\pi$
$18$	2.54052	+	2.12190i	0.598806	+	0.500137i
$19$	1.45818	−	2.52565i	0.334530	−	0.579423i	−0.648865	−	0.760904i	$-0.724756\pi$
$19$	1.45818	−	2.52565i	0.334530	−	0.579423i	0.983394	+	0.181481i	$0.0580891\pi$
$20$		0			0
$21$	1.70893	−	1.30209i	0.372919	−	0.284140i
$22$	−2.36566	−	6.45377i	−0.504359	−	1.37595i
$23$	−0.780755	+	1.35231i	−0.162799	+	0.281976i	−0.935871	−	0.352342i	$-0.885385\pi$
$23$	−0.780755	+	1.35231i	−0.162799	+	0.281976i	0.773073	+	0.634317i	$0.218719\pi$
$24$	−0.0157066	−	2.29675i	−0.00320610	−	0.468822i
$25$		0			0
$26$	0.217174	−	1.24829i	0.0425914	−	0.244810i
$27$		−	4.33678i		−	0.834614i
$28$	5.16739	+	1.13932i	0.976546	+	0.215311i
$29$	9.73084			1.80697			0.903486	−	0.428618i	$-0.140999\pi$
$29$	9.73084			1.80697			0.903486	+	0.428618i	$0.140999\pi$
$30$		0			0
$31$	2.20757	+	3.82363i	0.396492	+	0.686744i	0.993290	−	0.115647i	$-0.0368941\pi$
$31$	2.20757	+	3.82363i	0.396492	+	0.686744i	−0.596798	+	0.802391i	$0.703561\pi$
$32$	4.29168	−	3.68531i	0.758669	−	0.651477i
$33$	−1.97344	+	3.41809i	−0.343531	+	0.595013i
$34$	7.82304	−	2.86757i	1.34164	−	0.491783i
$35$		0			0
$36$	3.57223	−	3.02532i	0.595372	−	0.504220i
$37$	1.57735	+	0.910682i	0.259314	+	0.149715i	0.624022	−	0.781407i	$-0.285498\pi$
$37$	1.57735	+	0.910682i	0.259314	+	0.149715i	−0.364707	+	0.931122i	$0.618831\pi$
$38$	−3.16548	−	2.64388i	−0.513509	−	0.428894i
$39$	−0.630064	+	0.363768i	−0.100891	+	0.0582494i
$40$		0			0
$41$			10.4920i			1.63858i	0.573381	+	0.819289i	$0.305632\pi$
$41$			10.4920i			1.63858i	−0.573381	+	0.819289i	$0.694368\pi$
$42$	−1.39994	−	2.69665i	−0.216015	−	0.416103i
$43$	−3.04581			−0.464481			−0.232240	−	0.972658i	$-0.574606\pi$
$43$	−3.04581			−0.464481			−0.232240	+	0.972658i	$0.574606\pi$
$44$	−9.56538	+	1.73164i	−1.44204	+	0.261054i
$45$		0			0
$46$	1.69489	+	1.41561i	0.249898	+	0.208721i
$47$	−4.52006	−	2.60966i	−0.659319	−	0.380658i	0.132698	−	0.991156i	$-0.457636\pi$
$47$	−4.52006	−	2.60966i	−0.659319	−	0.380658i	−0.792017	+	0.610498i	$0.790969\pi$
$48$	−3.20383	−	0.534848i	−0.462433	−	0.0771987i
$49$	6.77366	−	1.76567i	0.967665	−	0.252239i
$50$		0			0
$51$	−4.14329	−	2.39213i	−0.580177	−	0.334965i
$52$	−1.68658	−	0.605172i	−0.233887	−	0.0839222i
$53$	−0.155645	+	0.0898619i	−0.0213795	+	0.0123435i	−0.510652	−	0.859788i	$-0.670596\pi$
$53$	−0.155645	+	0.0898619i	−0.0213795	+	0.0123435i	0.489272	+	0.872131i	$0.337262\pi$
$54$	−6.04237	−	1.05124i	−0.822262	−	0.143055i
$55$		0			0
$56$	2.83997	−	6.92348i	0.379507	−	0.925189i
$57$			2.36821i			0.313677i
$58$	2.35876	−	13.5578i	0.309720	−	1.78023i
$59$	5.68287	+	9.84302i	0.739846	+	1.28145i	0.952564	+	0.304338i	$0.0984352\pi$
$59$	5.68287	+	9.84302i	0.739846	+	1.28145i	−0.212718	+	0.977114i	$0.568232\pi$
$60$		0			0
$61$	−5.33107	−	3.07789i	−0.682573	−	0.394084i	0.118251	−	0.992984i	$-0.462271\pi$
$61$	−5.33107	−	3.07789i	−0.682573	−	0.394084i	−0.800824	+	0.598900i	$0.795605\pi$
$62$	5.86252	−	2.14893i	0.744541	−	0.272914i
$63$	2.38927	−	5.71313i	0.301019	−	0.719787i
$64$	−4.09438	−	6.87285i	−0.511798	−	0.859106i
$65$		0			0
$66$	4.28401	+	3.57810i	0.527325	+	0.440434i
$67$	3.89952	+	6.75417i	0.476403	+	0.825154i	0.999634	−	0.0270367i	$-0.00860710\pi$
$67$	3.89952	+	6.75417i	0.476403	+	0.825154i	−0.523232	+	0.852190i	$0.675274\pi$
$68$	−2.09903	−	11.5948i	−0.254545	−	1.40608i
$69$		−	1.26801i		−	0.152651i
$70$		0			0
$71$		−	8.38078i		−	0.994616i	−0.867574	−	0.497308i	$-0.834322\pi$
$71$		−	8.38078i		−	0.994616i	0.867574	−	0.497308i	$-0.165678\pi$
$72$	−3.34922	−	5.71048i	−0.394709	−	0.672986i
$73$	4.39048	+	7.60453i	0.513866	+	0.890043i	0.999871	+	0.0160862i	$0.00512061\pi$
$73$	4.39048	+	7.60453i	0.513866	+	0.890043i	−0.486004	+	0.873956i	$0.661546\pi$
$74$	1.65119	−	1.97695i	0.191947	−	0.229815i
$75$		0			0
$76$	−4.45099	+	3.76954i	−0.510564	+	0.432396i
$77$	−10.2287	+	7.79359i	−1.16567	+	0.888162i
$78$	0.354104	+	0.966036i	0.0400944	+	0.109382i
$79$	−3.14686	−	1.81684i	−0.354049	−	0.204410i	0.312418	−	0.949945i	$-0.398861\pi$
$79$	−3.14686	−	1.81684i	−0.354049	−	0.204410i	−0.666467	+	0.745534i	$0.732194\pi$
$80$		0			0
$81$	−1.75006	−	3.03119i	−0.194451	−	0.336799i
$82$	14.6184	+	2.54327i	1.61433	+	0.280857i
$83$			2.03796i			0.223695i	0.993725	+	0.111847i	$0.0356768\pi$
$83$			2.03796i			0.223695i	−0.993725	+	0.111847i	$0.964323\pi$
$84$	−4.09655	+	1.29685i	−0.446970	+	0.141497i
$85$		0			0
$86$	−0.738304	+	4.24367i	−0.0796134	+	0.457607i
$87$	−6.84320	+	3.95092i	−0.733668	+	0.423584i
$88$	0.0940110	+	13.7470i	0.0100216	+	1.46544i
$89$	−1.52812	−	0.882262i	−0.161981	−	0.0935195i	0.416818	−	0.908990i	$-0.363145\pi$
$89$	−1.52812	−	0.882262i	−0.161981	−	0.0935195i	−0.578799	+	0.815470i	$0.696478\pi$
$90$		0			0
$91$	−2.35118	+	0.301402i	−0.246470	+	0.0315955i
$92$	2.38320	−	2.01832i	0.248465	−	0.210425i
$93$	−3.10495	−	1.79264i	−0.321968	−	0.185888i
$94$	−4.73166	+	5.66515i	−0.488034	+	0.584316i
$95$		0			0
$96$	−1.52181	+	4.33420i	−0.155319	+	0.442357i
$97$	7.83641			0.795667			0.397834	−	0.917458i	$-0.369762\pi$
$97$	7.83641			0.795667			0.397834	+	0.917458i	$0.369762\pi$
$98$	−0.818148	−	9.86563i	−0.0826454	−	0.996579i
$99$			11.3763i			1.14336i
$100$		0			0
$101$	−6.30931	+	3.64268i	−0.627799	+	0.362460i	−0.779899	−	0.625905i	$-0.784730\pi$
$101$	−6.30931	+	3.64268i	−0.627799	+	0.362460i	0.152100	+	0.988365i	$0.451396\pi$
$102$	−4.33725	+	5.19293i	−0.429452	+	0.514177i
$103$	7.97652	+	4.60525i	0.785950	+	0.453768i	0.838535	−	0.544848i	$-0.183413\pi$
$103$	7.97652	+	4.60525i	0.785950	+	0.453768i	−0.0525850	+	0.998616i	$0.516746\pi$
$104$	−1.25200	+	2.20319i	−0.122769	+	0.216041i
$105$		0			0
$106$	0.0874748	+	0.238641i	0.00849630	+	0.0231789i
$107$	7.49445	−	12.9808i	0.724516	−	1.25490i	−0.234657	−	0.972078i	$-0.575397\pi$
$107$	7.49445	−	12.9808i	0.724516	−	1.25490i	0.959173	−	0.282820i	$-0.0912699\pi$
$108$	−2.92934	+	8.16392i	−0.281876	+	0.785574i
$109$	0.795610	+	1.37804i	0.0762056	+	0.131992i	0.901610	−	0.432550i	$-0.142386\pi$
$109$	0.795610	+	1.37804i	0.0762056	+	0.131992i	−0.825404	+	0.564542i	$0.809053\pi$
$110$		0			0
$111$	−1.47902			−0.140383
$112$	−8.95797	−	5.63514i	−0.846448	−	0.532471i
$113$		−	3.57866i		−	0.336652i	−0.985731	−	0.168326i	$-0.946164\pi$
$113$		−	3.57866i		−	0.336652i	0.985731	−	0.168326i	$-0.0538361\pi$
$114$	3.29959	+	0.574055i	0.309035	+	0.0537651i
$115$		0			0
$116$	−18.3182	−	6.57284i	−1.70080	−	0.610273i
$117$	−1.04851	+	1.81606i	−0.0969344	+	0.167895i
$118$	15.0917	−	5.53190i	1.38930	−	0.509253i
$119$	−9.44712	−	12.3989i	−0.866016	−	1.13660i
$120$		0			0
$121$	6.31188	−	10.9325i	0.573807	−	0.993863i
$122$	−5.58063	+	6.68161i	−0.505247	+	0.604925i
$123$	−4.25998	−	7.37850i	−0.384109	−	0.665297i
$124$	−1.57299	−	8.68906i	−0.141259	−	0.780301i
$125$		0			0
$126$	−7.38086	−	4.71379i	−0.657539	−	0.419938i
$127$	−7.67404			−0.680961			−0.340481	−	0.940252i	$-0.610590\pi$
$127$	−7.67404			−0.680961			−0.340481	+	0.940252i	$0.610590\pi$
$128$	−10.5683	+	4.03866i	−0.934116	+	0.356970i
$129$	2.14196	−	1.23666i	0.188589	−	0.108882i
$130$		0			0
$131$	−9.95404	+	17.2409i	−0.869689	+	1.50635i	−0.00737416	+	0.999973i	$0.502347\pi$
$131$	−9.95404	+	17.2409i	−0.869689	+	1.50635i	−0.862315	+	0.506373i	$0.830986\pi$
$132$	6.02376	−	5.10151i	0.524301	−	0.444030i
$133$	−2.97702	+	7.11854i	−0.258140	+	0.617256i
$134$	10.3557	−	3.79593i	0.894599	−	0.327919i
$135$		0			0
$136$	−16.6637	+	0.113957i	−1.42890	+	0.00977172i
$137$	−7.65236	+	4.41809i	−0.653785	+	0.377463i	−0.789905	−	0.613229i	$-0.789870\pi$
$137$	−7.65236	+	4.41809i	−0.653785	+	0.377463i	0.136120	+	0.990692i	$0.456537\pi$
$138$	−1.76670	−	0.307366i	−0.150392	−	0.0261648i
$139$	−7.91285			−0.671159			−0.335580	−	0.942012i	$-0.608932\pi$
$139$	−7.91285			−0.671159			−0.335580	+	0.942012i	$0.608932\pi$
$140$		0			0
$141$	4.23831			0.356930
$142$	−11.6768	−	2.03150i	−0.979897	−	0.170480i
$143$	3.77121	−	2.17731i	0.315364	−	0.182076i
$144$	−8.76817	+	3.28220i	−0.730681	+	0.273516i
$145$		0			0
$146$	11.6595	−	4.27384i	0.964949	−	0.353706i
$147$	−4.04667	+	3.99195i	−0.333763	+	0.329251i
$148$	−2.35420	−	2.77979i	−0.193514	−	0.228497i
$149$	−0.861502	+	1.49217i	−0.0705770	+	0.122243i	−0.899154	−	0.437632i	$-0.855817\pi$
$149$	−0.861502	+	1.49217i	−0.0705770	+	0.122243i	0.828577	+	0.559875i	$0.189151\pi$
$150$		0			0
$151$	0.705057	−	0.407065i	0.0573767	−	0.0331265i	−0.471037	−	0.882113i	$-0.656120\pi$
$151$	0.705057	−	0.407065i	0.0573767	−	0.0331265i	0.528414	+	0.848987i	$0.322787\pi$
$152$	4.17312	+	7.11523i	0.338484	+	0.577122i
$153$	−13.7899			−1.11485
$154$	8.37926	+	16.1407i	0.675220	+	1.30065i
$155$		0			0
$156$	1.43180	−	0.259201i	0.114636	−	0.0207527i
$157$	6.67764	+	11.5660i	0.532934	+	0.923068i	0.999260	+	0.0384557i	$0.0122438\pi$
$157$	6.67764	+	11.5660i	0.532934	+	0.923068i	−0.466327	+	0.884613i	$0.654423\pi$
$158$	−3.29417	+	3.94407i	−0.262070	+	0.313773i
$159$	0.0729717	−	0.126391i	0.00578703	−	0.0100234i
$160$		0			0
$161$	1.59399	−	3.81148i	0.125624	−	0.300387i
$162$	−4.64753	+	1.70357i	−0.365144	+	0.133845i
$163$	−4.48856	+	7.77441i	−0.351571	+	0.608939i	−0.986525	−	0.163611i	$-0.947686\pi$
$163$	−4.48856	+	7.77441i	−0.351571	+	0.608939i	0.634954	+	0.772550i	$0.281019\pi$
$164$	7.08699	−	19.7511i	0.553401	−	1.54230i
$165$		0			0
$166$	2.83945	+	0.494001i	0.220384	+	0.0383419i
$167$			17.0324i			1.31801i	0.752140	+	0.659003i	$0.229022\pi$
$167$			17.0324i			1.31801i	−0.752140	+	0.659003i	$0.770978\pi$
$168$	0.813870	+	6.02202i	0.0627914	+	0.464609i
$169$	−12.1973			−0.938254
$170$		0			0
$171$	3.41300	+	5.91150i	0.260999	+	0.452063i
$172$	5.73368	+	2.05734i	0.437189	+	0.156870i
$173$	8.23299	−	14.2599i	0.625942	−	1.08416i	−0.362416	−	0.932017i	$-0.618048\pi$
$173$	8.23299	−	14.2599i	0.625942	−	1.08416i	0.988358	−	0.152147i	$-0.0486188\pi$
$174$	3.84597	+	10.4922i	0.291562	+	0.795414i
$175$		0			0
$176$	19.1763	+	3.20130i	1.44547	+	0.241307i
$177$	−7.99294	−	4.61473i	−0.600786	−	0.346864i
$178$	−1.59966	+	1.91525i	−0.119899	+	0.143554i
$179$	9.26501	−	5.34916i	0.692499	−	0.399815i	−0.112048	−	0.993703i	$-0.535741\pi$
$179$	9.26501	−	5.34916i	0.692499	−	0.399815i	0.804548	+	0.593888i	$0.202408\pi$
$180$		0			0
$181$		−	10.8661i		−	0.807672i	−0.914831	−	0.403836i	$-0.867677\pi$
$181$		−	10.8661i		−	0.807672i	0.914831	−	0.403836i	$-0.132323\pi$
$182$	−0.149987	+	3.34892i	−0.0111178	+	0.248238i
$183$	4.99875			0.369519
$184$	−2.23441	−	3.80971i	−0.164723	−	0.280856i
$185$		0			0
$186$	−3.25030	+	3.89154i	−0.238324	+	0.285341i
$187$	24.7994	+	14.3179i	1.81351	+	1.04703i
$188$	6.74622	+	7.96579i	0.492018	+	0.580965i
$189$	1.45894	+	11.3809i	0.106122	+	0.827840i
$190$		0			0
$191$	0.439231	+	0.253590i	0.0317816	+	0.0183491i	0.515807	−	0.856705i	$-0.327492\pi$
$191$	0.439231	+	0.253590i	0.0317816	+	0.0183491i	−0.484025	+	0.875054i	$0.660826\pi$
$192$	5.66989	+	3.17092i	0.409189	+	0.228841i
$193$	18.0302	−	10.4098i	1.29784	−	0.749311i	0.317813	−	0.948153i	$-0.397051\pi$
$193$	18.0302	−	10.4098i	1.29784	−	0.749311i	0.980031	+	0.198842i	$0.0637182\pi$
$194$	1.89955	−	10.9184i	0.136380	−	0.783892i
$195$		0			0
$196$	−13.9439	−	1.25152i	−0.995996	−	0.0893941i
$197$		−	8.86095i		−	0.631317i	−0.948873	−	0.315658i	$-0.897775\pi$
$197$		−	8.86095i		−	0.631317i	0.948873	−	0.315658i	$-0.102225\pi$
$198$	15.8504	+	2.75761i	1.12644	+	0.195975i
$199$	11.6081	+	20.1059i	0.822878	+	1.42527i	0.903530	+	0.428524i	$0.140966\pi$
$199$	11.6081	+	20.1059i	0.822878	+	1.42527i	−0.0806522	+	0.996742i	$0.525700\pi$
$200$		0			0
$201$	−5.48467	−	3.16658i	−0.386859	−	0.223353i
$202$	3.54591	+	9.67365i	0.249490	+	0.680635i
$203$	−25.5364	+	3.27356i	−1.79231	+	0.229759i
$204$	6.18388	+	7.30179i	0.432958	+	0.511228i
$205$		0			0
$206$	8.34993	−	9.99725i	0.581767	−	0.696541i
$207$	−1.82743	−	3.16519i	−0.127015	−	0.219996i
$208$	2.76619	+	2.27845i	0.191801	+	0.157982i
$209$		−	14.1748i		−	0.980490i
$210$		0			0
$211$			6.21092i			0.427578i	0.976880	+	0.213789i	$0.0685804\pi$
$211$			6.21092i			0.427578i	−0.976880	+	0.213789i	$0.931420\pi$
$212$	0.353699	−	0.0640306i	0.0242921	−	0.00439764i
$213$	3.40277	+	5.89378i	0.233154	+	0.403835i
$214$	−16.2692	−	13.5884i	−1.11214	−	0.928887i
$215$		0			0
$216$	10.6646	+	6.06035i	0.725634	+	0.412354i
$217$	−7.07960	−	9.29161i	−0.480594	−	0.630756i
$218$	2.11285	−	0.774475i	0.143101	−	0.0524541i
$219$	−6.17519	−	3.56525i	−0.417281	−	0.240917i
$220$		0			0
$221$	2.63926	+	4.57133i	0.177536	+	0.307501i
$222$	−0.358516	+	2.06070i	−0.0240620	+	0.138305i
$223$			12.8221i			0.858632i	0.903154	+	0.429316i	$0.141245\pi$
$223$			12.8221i			0.858632i	−0.903154	+	0.429316i	$0.858755\pi$
$224$	−10.0228	+	11.1150i	−0.669675	+	0.742655i
$225$		0			0
$226$	−4.98609	−	0.867468i	−0.331670	−	0.0577031i
$227$	3.12345	−	1.80332i	0.207310	−	0.119691i	−0.392750	−	0.919645i	$-0.628476\pi$
$227$	3.12345	−	1.80332i	0.207310	−	0.119691i	0.600061	+	0.799954i	$0.295143\pi$
$228$	1.59964	−	4.45812i	0.105939	−	0.295246i
$229$	−15.4049	−	8.89400i	−1.01798	−	0.587732i	−0.104463	−	0.994529i	$-0.533313\pi$
$229$	−15.4049	−	8.89400i	−1.01798	−	0.587732i	−0.913519	+	0.406796i	$0.866646\pi$
$230$		0			0
$231$	4.02896	−	9.63390i	0.265086	−	0.633864i
$232$	−13.5982	+	23.9291i	−0.892763	+	1.57103i
$233$	0.237354	+	0.137037i	0.0155496	+	0.00897756i	0.507755	−	0.861502i	$-0.330476\pi$
$233$	0.237354	+	0.137037i	0.0155496	+	0.00897756i	−0.492205	+	0.870479i	$0.663809\pi$
$234$	2.27614	+	1.90108i	0.148796	+	0.124278i
$235$		0			0
$236$	−4.04930	−	22.3679i	−0.263587	−	1.45603i
$237$	2.95070			0.191668
$238$	−19.5651	+	10.1570i	−1.26822	+	0.658383i
$239$		−	23.0254i		−	1.48939i	−0.667406	−	0.744694i	$-0.732595\pi$
$239$		−	23.0254i		−	1.48939i	0.667406	−	0.744694i	$-0.267405\pi$
$240$		0			0
$241$	3.25210	−	1.87760i	0.209486	−	0.120947i	−0.391587	−	0.920141i	$-0.628074\pi$
$241$	3.25210	−	1.87760i	0.209486	−	0.120947i	0.601072	+	0.799195i	$0.294740\pi$
$242$	−13.7021	−	11.4443i	−0.880803	−	0.735666i
$243$	13.7287	+	7.92629i	0.880699	+	0.508472i
$244$	7.95664	+	9.39503i	0.509372	+	0.601455i
$245$		0			0
$246$	−11.3130	+	4.14681i	−0.721289	+	0.264391i
$247$	1.30643	−	2.26281i	0.0831264	−	0.143979i
$248$	−12.4876	+	0.0853983i	−0.792965	+	0.00542280i
$249$	−0.827453	−	1.43319i	−0.0524377	−	0.0908248i
$250$		0			0
$251$	0.268218			0.0169298			0.00846489	−	0.999964i	$-0.497306\pi$
$251$	0.268218			0.0169298			0.00846489	+	0.999964i	$0.497306\pi$
$252$	−8.35678	+	9.14101i	−0.526428	+	0.575830i
$253$			7.58961i			0.477155i
$254$	−1.86019	+	10.6921i	−0.116719	+	0.670884i
$255$		0			0
$256$	3.06524	+	15.7036i	0.191577	+	0.981478i
$257$	15.5426	−	26.9207i	0.969524	−	1.67926i	0.272588	−	0.962131i	$-0.412120\pi$
$257$	15.5426	−	26.9207i	0.969524	−	1.67926i	0.696936	−	0.717134i	$-0.254546\pi$
$258$	−1.20381	−	3.28413i	−0.0749459	−	0.204461i
$259$	−4.44576	−	1.85924i	−0.276246	−	0.115528i
$260$		0			0
$261$	−11.3879	+	19.7245i	−0.704896	+	1.22092i
$262$	21.6086	+	18.0480i	1.33499	+	1.11501i
$263$	−13.9230	−	24.1154i	−0.858532	−	1.48702i	−0.873329	−	0.487130i	$-0.838044\pi$
$263$	−13.9230	−	24.1154i	−0.858532	−	1.48702i	0.0147973	−	0.999891i	$-0.495290\pi$
$264$	−5.64770	−	9.62942i	−0.347592	−	0.592650i
$265$		0			0
$266$	9.19652	+	5.87337i	0.563875	+	0.360119i
$267$	1.43287			0.0876900
$268$	−2.77858	−	15.3486i	−0.169729	−	0.937566i
$269$	1.25127	−	0.722424i	0.0762916	−	0.0440470i	−0.461369	−	0.887208i	$-0.652642\pi$
$269$	1.25127	−	0.722424i	0.0762916	−	0.0440470i	0.537661	+	0.843161i	$0.319308\pi$
$270$		0			0
$271$	6.99708	−	12.1193i	0.425042	−	0.736195i	−0.571382	−	0.820684i	$-0.693593\pi$
$271$	6.99708	−	12.1193i	0.425042	−	0.736195i	0.996424	+	0.0844893i	$0.0269259\pi$
$272$	−3.88051	+	23.2449i	−0.235290	+	1.40943i
$273$	1.53109	−	1.16659i	0.0926656	−	0.0706051i
$274$	4.30072	+	11.7329i	0.259816	+	0.708808i
$275$		0			0
$276$	−0.856497	+	2.38701i	−0.0515551	+	0.143681i
$277$	16.0332	−	9.25674i	0.963339	−	0.556184i	0.0661397	−	0.997810i	$-0.478932\pi$
$277$	16.0332	−	9.25674i	0.963339	−	0.556184i	0.897199	+	0.441627i	$0.145598\pi$
$278$	−1.91808	+	11.0249i	−0.115039	+	0.661227i
$279$	−10.3340			−0.618683
$280$		0			0
$281$	−9.00853			−0.537404			−0.268702	−	0.963223i	$-0.586595\pi$
$281$	−9.00853			−0.537404			−0.268702	+	0.963223i	$0.586595\pi$
$282$	1.02737	−	5.90517i	0.0611788	−	0.351648i
$283$	23.6382	−	13.6475i	1.40515	−	0.811261i	0.410231	−	0.911982i	$-0.365448\pi$
$283$	23.6382	−	13.6475i	1.40515	−	0.811261i	0.994915	+	0.100720i	$0.0321147\pi$
$284$	−5.66093	+	15.7767i	−0.335914	+	0.936174i
$285$		0			0
$286$	−2.11947	−	5.78215i	−0.125327	−	0.341906i
$287$	−3.52963	−	27.5340i	−0.208348	−	1.62528i
$288$	2.44763	+	13.0122i	0.144228	+	0.766749i
$289$	−8.85572	+	15.3386i	−0.520925	+	0.902268i
$290$		0			0
$291$	−5.51095	+	3.18175i	−0.323058	+	0.186517i
$292$	−3.12841	−	17.2810i	−0.183076	−	1.01129i
$293$	−10.6330			−0.621188			−0.310594	−	0.950543i	$-0.600528\pi$
$293$	−10.6330			−0.621188			−0.310594	+	0.950543i	$0.600528\pi$
$294$	4.58101	+	6.60581i	0.267170	+	0.385258i
$295$		0			0
$296$	−4.44370	+	2.60625i	−0.258285	+	0.151485i
$297$	−10.5393	−	18.2546i	−0.611552	−	1.05924i
$298$	1.87018	+	1.56202i	0.108337	+	0.0904854i
$299$	−0.699505	+	1.21158i	−0.0404534	+	0.0700673i
$300$		0			0
$301$	7.99304	−	1.02464i	0.460711	−	0.0590594i
$302$	−0.396251	−	1.08102i	−0.0228017	−	0.0622056i
$303$	2.95801	−	5.12342i	0.169933	−	0.294333i
$304$	10.9251	−	4.08961i	0.626598	−	0.234555i
$305$		0			0
$306$	−3.34268	+	19.2133i	−0.191088	+	1.09835i
$307$		−	17.9812i		−	1.02624i	−0.858317	−	0.513120i	$-0.828490\pi$
$307$		−	17.9812i		−	1.02624i	0.858317	−	0.513120i	$-0.171510\pi$
$308$	24.5197	−	7.76219i	1.39714	−	0.442292i
$309$	−7.47930			−0.425483
$310$		0			0
$311$	−14.1579	−	24.5222i	−0.802821	−	1.39053i	−0.917752	−	0.397153i	$-0.869998\pi$
$311$	−14.1579	−	24.5222i	−0.802821	−	1.39053i	0.114931	−	0.993373i	$-0.463335\pi$
$312$	−0.0140721	−	2.05773i	−0.000796674	−	0.116496i
$313$	−2.79748	+	4.84537i	−0.158123	+	0.273877i	−0.934192	−	0.356771i	$-0.883878\pi$
$313$	−2.79748	+	4.84537i	−0.158123	+	0.273877i	0.776069	+	0.630648i	$0.217211\pi$
$314$	17.7334	−	6.50025i	1.00075	−	0.366830i
$315$		0			0
$316$	4.69670	+	5.54576i	0.264210	+	0.311974i
$317$	−27.1475	−	15.6736i	−1.52476	−	0.880318i	−0.999570	−	0.0293312i	$-0.990662\pi$
$317$	−27.1475	−	15.6736i	−1.52476	−	0.880318i	−0.525186	−	0.850987i	$-0.676004\pi$
$318$	−0.158410	−	0.132307i	−0.00888318	−	0.00741943i
$319$	40.9596	−	23.6480i	2.29330	−	1.32404i
$320$		0			0
$321$			12.1716i			0.679353i
$322$	−4.92410	−	3.14478i	−0.274409	−	0.175252i
$323$	17.1822			0.956042
$324$	1.24699	+	6.88827i	0.0692775	+	0.382682i
$325$		0			0
$326$	9.74394	+	8.13835i	0.539667	+	0.450742i
$327$	−1.11902	−	0.646069i	−0.0618822	−	0.0357277i
$328$	−25.8010	−	14.6619i	−1.42462	−	0.809566i
$329$	12.7398	+	5.32787i	0.702369	+	0.293735i
$330$		0			0
$331$	18.6312	+	10.7567i	1.02406	+	0.591244i	0.915279	−	0.402821i	$-0.131970\pi$
$331$	18.6312	+	10.7567i	1.02406	+	0.591244i	0.108786	+	0.994065i	$0.465304\pi$
$332$	1.37657	−	3.83642i	0.0755490	−	0.210551i
$333$	−3.69192	+	2.13153i	−0.202316	+	0.116807i
$334$	23.7310	+	4.12866i	1.29850	+	0.225910i
$335$		0			0
$336$	8.58767	+	0.325786i	0.468496	+	0.0177731i
$337$		−	0.0584151i		−	0.00318207i	−0.999999	−	0.00159104i	$-0.999494\pi$
$337$		−	0.0584151i		−	0.00318207i	0.999999	−	0.00159104i	$-0.000506443\pi$
$338$	−2.95663	+	16.9943i	−0.160819	+	0.924369i
$339$	1.45301	+	2.51669i	0.0789167	+	0.136688i
$340$		0			0
$341$	18.5845	+	10.7298i	1.00641	+	0.581049i
$342$	9.06371	−	3.32234i	0.490109	−	0.179651i
$343$	−17.1820	+	6.91235i	−0.927738	+	0.373232i
$344$	4.25630	−	7.48995i	0.229484	−	0.403831i
$345$		0			0
$346$	−17.8725	−	14.9275i	−0.960831	−	0.802508i
$347$	4.40681	+	7.63282i	0.236570	+	0.409751i	0.959728	−	0.280932i	$-0.0906434\pi$
$347$	4.40681	+	7.63282i	0.236570	+	0.409751i	−0.723158	+	0.690683i	$0.757310\pi$
$348$	15.5509	−	2.81521i	0.833617	−	0.150911i
$349$		−	1.78555i		−	0.0955784i	−0.998857	−	0.0477892i	$-0.984782\pi$
$349$		−	1.78555i		−	0.0955784i	0.998857	−	0.0477892i	$-0.0152176\pi$
$350$		0			0
$351$		−	3.88547i		−	0.207391i
$352$	9.10867	−	25.9421i	0.485494	−	1.38272i
$353$	−13.7465	−	23.8096i	−0.731651	−	1.26726i	−0.956177	−	0.292789i	$-0.905417\pi$
$353$	−13.7465	−	23.8096i	−0.731651	−	1.26726i	0.224526	−	0.974468i	$-0.427917\pi$
$354$	−8.36712	+	10.0178i	−0.444707	+	0.532442i
$355$		0			0
$356$	2.28073	+	2.69304i	0.120878	+	0.142731i
$357$	11.6779	+	4.88376i	0.618059	+	0.258476i
$358$	−5.20706	−	14.2054i	−0.275201	−	0.750780i
$359$	−16.1118	−	9.30213i	−0.850346	−	0.490948i	0.0104213	−	0.999946i	$-0.496683\pi$
$359$	−16.1118	−	9.30213i	−0.850346	−	0.490948i	−0.860768	+	0.508998i	$0.830016\pi$
$360$		0			0
$361$	5.24741	+	9.08878i	0.276179	+	0.478357i
$362$	−15.1396	−	2.63395i	−0.795720	−	0.138437i
$363$			10.2510i			0.538039i
$364$	4.62964	+	1.02075i	0.242659	+	0.0535020i
$365$		0			0
$366$	1.21170	−	6.96469i	0.0633365	−	0.364050i
$367$	−19.0390	+	10.9922i	−0.993829	+	0.573788i	−0.906417	−	0.422385i	$-0.861193\pi$
$367$	−19.0390	+	10.9922i	−0.993829	+	0.573788i	−0.0874124	+	0.996172i	$0.527860\pi$
$368$	−5.84964	+	2.18970i	−0.304933	+	0.114146i
$369$	−21.2674	−	12.2787i	−1.10714	−	0.639206i
$370$		0			0
$371$	0.378226	−	0.288183i	0.0196365	−	0.0149617i
$372$	4.63415	+	5.47190i	0.240269	+	0.283705i
$373$	0.489838	+	0.282808i	0.0253629	+	0.0146433i	0.512628	−	0.858611i	$-0.328672\pi$
$373$	0.489838	+	0.282808i	0.0253629	+	0.0146433i	−0.487265	+	0.873254i	$0.662005\pi$
$374$	25.9604	−	31.0820i	1.34238	−	1.60721i
$375$		0			0
$376$	12.7339	−	7.46849i	0.656701	−	0.385158i
$377$	8.71818			0.449009
$378$	16.2105	+	0.726015i	0.833778	+	0.0373422i
$379$			28.3294i			1.45518i	0.686010	+	0.727592i	$0.259361\pi$
$379$			28.3294i			1.45518i	−0.686010	+	0.727592i	$0.740639\pi$
$380$		0			0
$381$	5.39676	−	3.11582i	0.276484	−	0.159628i
$382$	0.459793	−	0.550504i	0.0235251	−	0.0281662i
$383$	−2.67256	−	1.54300i	−0.136561	−	0.0788438i	0.430163	−	0.902751i	$-0.358456\pi$
$383$	−2.67256	−	1.54300i	−0.136561	−	0.0788438i	−0.566724	+	0.823908i	$0.691790\pi$
$384$	5.79237	−	7.13114i	0.295591	−	0.363909i
$385$		0			0
$386$	−10.1332	−	27.6446i	−0.515768	−	1.40707i
$387$	3.56449	−	6.17387i	0.181193	−	0.313836i
$388$	−14.7519	−	5.29322i	−0.748916	−	0.268723i
$389$	8.17685	+	14.1627i	0.414583	+	0.718078i	0.995385	−	0.0959669i	$-0.0305943\pi$
$389$	8.17685	+	14.1627i	0.414583	+	0.718078i	−0.580802	+	0.814045i	$0.697261\pi$
$390$		0			0
$391$	−9.19986			−0.465257
$392$	−5.12374	+	19.1245i	−0.258788	+	0.965934i
$393$		−	16.1662i		−	0.815477i
$394$	−12.3458	−	2.14790i	−0.621974	−	0.108210i
$395$		0			0
$396$	7.68427	−	21.4156i	0.386149	−	1.07618i
$397$	3.91230	−	6.77631i	0.196353	−	0.340093i	−0.750990	−	0.660313i	$-0.770424\pi$
$397$	3.91230	−	6.77631i	0.196353	−	0.340093i	0.947343	+	0.320220i	$0.103757\pi$
$398$	30.8270	−	11.2998i	1.54522	−	0.566406i
$399$	−0.796692	−	6.21484i	−0.0398845	−	0.311131i
$400$		0			0
$401$	9.89379	−	17.1366i	0.494072	−	0.855758i	−0.505904	−	0.862590i	$-0.668841\pi$
$401$	9.89379	−	17.1366i	0.494072	−	0.855758i	0.999977	+	0.00683114i	$0.00217444\pi$
$402$	−5.74143	+	6.87413i	−0.286356	+	0.342850i
$403$	1.97784	+	3.42572i	0.0985232	+	0.170647i
$404$	14.3377	−	2.59557i	0.713326	−	0.129135i
$405$		0			0
$406$	−1.62903	+	36.3730i	−0.0808473	+	1.80516i
$407$	8.85261			0.438808
$408$	11.6725	−	6.84595i	0.577872	−	0.338925i
$409$	−21.9116	+	12.6507i	−1.08346	+	0.625536i	−0.931828	−	0.362900i	$-0.881786\pi$
$409$	−21.9116	+	12.6507i	−1.08346	+	0.625536i	−0.151633	+	0.988437i	$0.548453\pi$
$410$		0			0
$411$	3.58767	−	6.21403i	0.176967	−	0.306516i
$412$	−11.9050	−	14.0572i	−0.586517	−	0.692547i
$413$	−18.2247	−	23.9190i	−0.896780	−	1.17698i
$414$	−4.85299	+	1.77888i	−0.238511	+	0.0874272i
$415$		0			0
$416$	3.84506	−	3.30179i	0.188519	−	0.161884i
$417$	5.56470	−	3.21278i	0.272505	−	0.157331i
$418$	−19.7495	−	3.43597i	−0.965980	−	0.168059i
$419$	−16.6804			−0.814889			−0.407445	−	0.913230i	$-0.633580\pi$
$419$	−16.6804			−0.814889			−0.407445	+	0.913230i	$0.633580\pi$
$420$		0			0
$421$	3.13305			0.152695			0.0763477	−	0.997081i	$-0.475674\pi$
$421$	3.13305			0.152695			0.0763477	+	0.997081i	$0.475674\pi$
$422$	8.65358	+	1.50553i	0.421250	+	0.0732880i
$423$	10.5796	−	6.10814i	0.514398	−	0.296988i
$424$	−0.00347624	−	0.508324i	−0.000168821	−	0.0246864i
$425$		0			0
$426$	9.03654	−	3.31238i	0.437822	−	0.160485i
$427$	15.0256	+	6.28381i	0.727141	+	0.304095i
$428$	−22.8762	+	19.3739i	−1.10576	+	0.936470i
$429$	−1.76807	+	3.06238i	−0.0853630	+	0.147853i
$430$		0			0
$431$	23.5490	−	13.5960i	1.13432	−	0.654898i	0.189300	−	0.981919i	$-0.439378\pi$
$431$	23.5490	−	13.5960i	1.13432	−	0.654898i	0.945017	+	0.327021i	$0.106045\pi$
$432$	11.0289	−	13.3898i	0.530628	−	0.644216i
$433$	32.0204			1.53880			0.769401	−	0.638766i	$-0.220555\pi$
$433$	32.0204			1.53880			0.769401	+	0.638766i	$0.220555\pi$
$434$	−14.6620	+	7.61160i	−0.703796	+	0.365369i
$435$		0			0
$436$	−0.566908	−	3.13154i	−0.0271500	−	0.149974i
$437$	2.27697	+	3.94382i	0.108922	+	0.188659i
$438$	−6.46428	+	7.73959i	−0.308875	+	0.369812i
$439$	−10.0502	+	17.4074i	−0.479668	+	0.830809i	−0.999728	−	0.0233207i	$-0.992576\pi$
$439$	−10.0502	+	17.4074i	−0.479668	+	0.830809i	0.520060	+	0.854130i	$0.325909\pi$
$440$		0			0
$441$	−4.34814	+	15.7966i	−0.207054	+	0.752220i
$442$	7.00892	−	2.56915i	0.333380	−	0.122202i
$443$	7.44839	−	12.9010i	0.353884	−	0.612945i	−0.633042	−	0.774117i	$-0.718194\pi$
$443$	7.44839	−	12.9010i	0.353884	−	0.612945i	0.986926	+	0.161172i	$0.0515275\pi$
$444$	2.78424	+	0.999029i	0.132134	+	0.0474118i
$445$		0			0
$446$	17.8648	+	3.10808i	0.845925	+	0.147172i
$447$		−	1.39915i		−	0.0661776i
$448$	13.0569	+	16.6589i	0.616880	+	0.787057i
$449$	6.18602			0.291936			0.145968	−	0.989289i	$-0.453370\pi$
$449$	6.18602			0.291936			0.145968	+	0.989289i	$0.453370\pi$
$450$		0			0
$451$	25.4979	+	44.1636i	1.20065	+	2.07958i
$452$	−2.41726	+	6.73677i	−0.113698	+	0.316871i
$453$	−0.330554	+	0.572536i	−0.0155308	+	0.0269001i
$454$	−1.75542	−	4.78898i	−0.0823858	−	0.224758i
$455$		0			0
$456$	−5.82367	−	3.30941i	−0.272718	−	0.154977i
$457$	20.2219	+	11.6751i	0.945943	+	0.546140i	0.891818	−	0.452394i	$-0.149430\pi$
$457$	20.2219	+	11.6751i	0.945943	+	0.546140i	0.0541246	+	0.998534i	$0.482763\pi$
$458$	−16.1260	+	19.3075i	−0.753520	+	0.902178i
$459$	22.1276	−	12.7754i	1.03283	−	0.596304i
$460$		0			0
$461$		−	17.4080i		−	0.810772i	−0.914146	−	0.405386i	$-0.867137\pi$
$461$		−	17.4080i		−	0.810772i	0.914146	−	0.405386i	$-0.132863\pi$
$462$	−12.4461	−	7.94874i	−0.579047	−	0.369809i
$463$	−0.962509			−0.0447316			−0.0223658	−	0.999750i	$-0.507120\pi$
$463$	−0.962509			−0.0447316			−0.0223658	+	0.999750i	$0.507120\pi$
$464$	30.0439	+	24.7465i	1.39475	+	1.14883i
$465$		0			0
$466$	0.248466	−	0.297484i	0.0115099	−	0.0137807i
$467$	0.251997	+	0.145490i	0.0116610	+	0.00673249i	0.505819	−	0.862640i	$-0.331190\pi$
$467$	0.251997	+	0.145490i	0.0116610	+	0.00673249i	−0.494158	+	0.869372i	$0.664524\pi$
$468$	3.20048	−	2.71048i	0.147942	−	0.125292i
$469$	−12.5056	−	16.4130i	−0.577455	−	0.757881i
$470$		0			0
$471$	−9.39209	−	5.42252i	−0.432764	−	0.249857i
$472$	−32.1464	+	0.219837i	−1.47966	+	0.0101188i
$473$	−12.8206	+	7.40196i	−0.589490	+	0.340342i
$474$	0.715250	−	4.11116i	0.0328525	−	0.188832i
$475$		0			0
$476$	9.40906	+	29.7219i	0.431263	+	1.36230i
$477$		−	0.420660i		−	0.0192607i
$478$	−32.0809	−	5.58136i	−1.46735	−	0.255285i
$479$	9.89481	+	17.1383i	0.452106	+	0.783070i	0.998517	−	0.0544474i	$-0.0173397\pi$
$479$	9.89481	+	17.1383i	0.452106	+	0.783070i	−0.546411	+	0.837517i	$0.684006\pi$
$480$		0			0
$481$	1.41320	+	0.815911i	0.0644363	+	0.0372023i
$482$	−1.82772	−	4.98623i	−0.0832504	−	0.227116i
$483$	0.426573	+	3.32761i	0.0194098	+	0.151412i
$484$	−19.2665	+	16.3168i	−0.875751	+	0.741672i
$485$		0			0
$486$	14.3714	−	17.2067i	0.651901	−	0.780512i
$487$	−11.3108	−	19.5908i	−0.512540	−	0.887745i	−0.999894	−	0.0145405i	$-0.995371\pi$
$487$	−11.3108	−	19.5908i	−0.512540	−	0.887745i	0.487355	−	0.873204i	$-0.337962\pi$
$488$	15.0186	−	8.80851i	0.679862	−	0.398742i
$489$		−	7.28979i		−	0.329656i
$490$		0			0
$491$			38.9565i			1.75808i	0.476745	+	0.879042i	$0.341816\pi$
$491$			38.9565i			1.75808i	−0.476745	+	0.879042i	$0.658184\pi$
$492$	3.03542	+	16.7674i	0.136848	+	0.755932i
$493$	28.6653	+	49.6498i	1.29102	+	2.23611i
$494$	−2.83606	−	2.36874i	−0.127600	−	0.106575i
$495$		0			0
$496$	−2.90802	+	17.4195i	−0.130574	+	0.782160i
$497$	2.81939	+	21.9935i	0.126467	+	0.986543i
$498$	−2.19742	+	0.805472i	−0.0984686	+	0.0360941i
$499$	−32.6131	−	18.8292i	−1.45996	−	0.842909i	−0.460953	−	0.887425i	$-0.652492\pi$
$499$	−32.6131	−	18.8292i	−1.45996	−	0.842909i	−0.999009	+	0.0445156i	$0.985826\pi$
$500$		0			0
$501$	−6.91551	−	11.9780i	−0.308962	−	0.535138i
$502$	0.0650161	−	0.373704i	0.00290181	−	0.0166792i
$503$			42.9688i			1.91589i	0.286959	+	0.957943i	$0.407356\pi$
$503$			42.9688i			1.91589i	−0.286959	+	0.957943i	$0.592644\pi$
$504$	10.7103	+	13.8592i	0.477077	+	0.617336i
$505$		0			0
$506$	10.5745	+	1.83972i	0.470093	+	0.0817856i
$507$	8.57774	−	4.95236i	0.380951	−	0.219942i
$508$	14.4463	+	5.18355i	0.640949	+	0.229983i
$509$	−4.13736	−	2.38870i	−0.183385	−	0.105877i	0.405497	−	0.914096i	$-0.367098\pi$
$509$	−4.13736	−	2.38870i	−0.183385	−	0.105877i	−0.588882	+	0.808219i	$0.700432\pi$
$510$		0			0
$511$	−14.0801	−	18.4794i	−0.622866	−	0.817480i
$512$	22.6227	−	0.464182i	0.999790	−	0.0205141i
$513$	−10.9532	−	6.32382i	−0.483594	−	0.279203i
$514$	−33.7406	−	28.1809i	−1.48823	−	1.24301i
$515$		0			0
$516$	−4.86753	+	0.881176i	−0.214281	+	0.0387916i
$517$	−25.3681			−1.11569
$518$	−3.66811	+	5.74353i	−0.161168	+	0.252356i
$519$			13.3711i			0.586924i
$520$		0			0
$521$	−15.8425	+	9.14670i	−0.694075	+	0.400724i	−0.805137	−	0.593089i	$-0.797908\pi$
$521$	−15.8425	+	9.14670i	−0.694075	+	0.400724i	0.111062	+	0.993813i	$0.464575\pi$
$522$	24.7214	+	20.6479i	1.08203	+	0.903733i
$523$	−16.0323	−	9.25624i	−0.701043	−	0.404747i	0.106693	−	0.994292i	$-0.465974\pi$
$523$	−16.0323	−	9.25624i	−0.701043	−	0.404747i	−0.807736	+	0.589545i	$0.799307\pi$
$524$	30.3840	−	25.7321i	1.32733	−	1.12411i
$525$		0			0
$526$	−36.9746	+	13.5532i	−1.61217	+	0.590947i
$527$	−13.0062	+	22.5275i	−0.566560	+	0.981311i
$528$	−14.7855	+	5.53468i	−0.643458	+	0.240866i
$529$	10.2808	+	17.8069i	0.446993	+	0.774215i
$530$		0			0
$531$	−26.6025			−1.15445
$532$	10.4125	−	11.3897i	0.451440	−	0.493805i
$533$			9.40015i			0.407166i
$534$	0.347327	−	1.99639i	0.0150303	−	0.0863923i
$535$		0			0
$536$	−22.0585	+	0.150850i	−0.952783	+	0.00651573i
$537$	−4.34374	+	7.52358i	−0.187446	+	0.324666i
$538$	−0.703233	−	1.91850i	−0.0303185	−	0.0827123i
$539$	24.2211	−	23.8936i	1.04328	−	1.02917i
$540$		0			0
$541$	1.99811	−	3.46083i	0.0859055	−	0.148793i	−0.819871	−	0.572548i	$-0.805955\pi$
$541$	1.99811	−	3.46083i	0.0859055	−	0.148793i	0.905777	+	0.423755i	$0.139288\pi$
$542$	−15.1895	−	12.6866i	−0.652446	−	0.544938i
$543$	4.41187	+	7.64159i	0.189332	+	0.327932i
$544$	31.4461	+	11.0412i	1.34824	+	0.473388i
$545$		0			0
$546$	−1.25425	−	2.41602i	−0.0536771	−	0.103396i
$547$	−13.3961			−0.572774			−0.286387	−	0.958114i	$-0.592454\pi$
$547$	−13.3961			−0.572774			−0.286387	+	0.958114i	$0.592454\pi$
$548$	17.3897	−	3.14809i	0.742851	−	0.134480i
$549$	12.4778	−	7.20408i	0.532541	−	0.307463i
$550$		0			0
$551$	14.1893	−	24.5767i	0.604486	−	1.04700i
$552$	3.11817	+	1.77196i	0.132718	+	0.0754195i
$553$	8.86943	+	3.70925i	0.377167	+	0.157733i
$554$	−9.01084	−	24.5826i	−0.382834	−	1.04441i
$555$		0			0
$556$	14.8958	+	5.34486i	0.631723	+	0.226672i
$557$	12.4811	−	7.20598i	0.528842	−	0.305327i	−0.211703	−	0.977334i	$-0.567901\pi$
$557$	12.4811	−	7.20598i	0.528842	−	0.305327i	0.740545	+	0.672007i	$0.234568\pi$
$558$	−2.50497	+	14.3983i	−0.106044	+	0.609527i
$559$	−2.72884			−0.115418
$560$		0			0
$561$	−23.2535			−0.981766
$562$	−2.18367	+	12.5515i	−0.0921126	+	0.529451i
$563$	−5.78430	+	3.33957i	−0.243779	+	0.140746i	−0.616912	−	0.787032i	$-0.711617\pi$
$563$	−5.78430	+	3.33957i	−0.243779	+	0.140746i	0.373133	+	0.927778i	$0.378283\pi$
$564$	−7.97855	−	2.86283i	−0.335957	−	0.120547i
$565$		0			0
$566$	−13.2850	−	36.2429i	−0.558410	−	1.52340i
$567$	5.61236	+	7.36594i	0.235697	+	0.309341i
$568$	20.6092	+	11.7116i	0.864743	+	0.491406i
$569$	10.4511	−	18.1019i	0.438134	−	0.758871i	−0.559411	−	0.828890i	$-0.688973\pi$
$569$	10.4511	−	18.1019i	0.438134	−	0.758871i	0.997546	+	0.0700192i	$0.0223060\pi$
$570$		0			0
$571$	−4.83991	+	2.79432i	−0.202544	+	0.116939i	−0.597841	−	0.801614i	$-0.703975\pi$
$571$	−4.83991	+	2.79432i	−0.202544	+	0.116939i	0.395298	+	0.918553i	$0.370641\pi$
$572$	−8.56994	+	1.55143i	−0.358327	+	0.0648685i
$573$	−0.411852			−0.0172053
$574$	−39.2182	−	1.75646i	−1.63694	−	0.0733130i
$575$		0			0
$576$	18.7230	−	0.256091i	0.780123	−	0.0106704i
$577$	−0.909582	−	1.57544i	−0.0378664	−	0.0655865i	0.846471	−	0.532435i	$-0.178723\pi$
$577$	−0.909582	−	1.57544i	−0.0378664	−	0.0655865i	−0.884337	+	0.466848i	$0.845389\pi$
$578$	19.2244	+	16.0566i	0.799628	+	0.667867i
$579$	−8.45316	+	14.6413i	−0.351301	+	0.608472i
$580$		0			0
$581$	−0.685592	−	5.34816i	−0.0284431	−	0.221879i
$582$	3.09723	+	8.44958i	0.128384	+	0.350246i
$583$	−0.436767	+	0.756503i	−0.0180891	+	0.0313312i
$584$	−24.8357	+	0.169842i	−1.02771	+	0.00702812i
$585$		0			0
$586$	−2.57745	+	14.8148i	−0.106473	+	0.611996i
$587$			26.1792i			1.08053i	0.841495	+	0.540265i	$0.181676\pi$
$587$			26.1792i			1.08053i	−0.841495	+	0.540265i	$0.818324\pi$
$588$	10.3142	−	4.78141i	0.425351	−	0.197182i
$589$	12.8762			0.530554
$590$		0			0
$591$	3.59773	+	6.23146i	0.147991	+	0.256328i
$592$	2.55409	+	6.82309i	0.104973	+	0.280427i
$593$	−13.8158	+	23.9296i	−0.567345	+	0.982671i	0.429482	+	0.903075i	$0.358696\pi$
$593$	−13.8158	+	23.9296i	−0.567345	+	0.982671i	−0.996827	+	0.0795955i	$0.974637\pi$
$594$	−27.9886	+	10.2593i	−1.14839	+	0.420945i
$595$		0			0
$596$	2.62967	−	2.22706i	0.107716	−	0.0912241i
$597$	−16.3268	−	9.42628i	−0.668211	−	0.385792i
$598$	1.51851	+	1.26830i	0.0620966	+	0.0518645i
$599$	−4.82336	+	2.78477i	−0.197077	+	0.113783i	−0.595291	−	0.803510i	$-0.702963\pi$
$599$	−4.82336	+	2.78477i	−0.197077	+	0.113783i	0.398214	+	0.917292i	$0.369630\pi$
$600$		0			0
$601$		−	30.5902i		−	1.24780i	−0.781504	−	0.623901i	$-0.785547\pi$
$601$		−	30.5902i		−	1.24780i	0.781504	−	0.623901i	$-0.214453\pi$
$602$	0.509894	−	11.3849i	0.0207817	−	0.464016i
$603$	−18.2544			−0.743375
$604$	−1.60222	+	0.290052i	−0.0651933	+	0.0118020i
$605$		0			0
$606$	−6.42136	−	5.36327i	−0.260850	−	0.217868i
$607$	−17.5127	−	10.1110i	−0.710818	−	0.410391i	0.100546	−	0.994932i	$-0.467941\pi$
$607$	−17.5127	−	10.1110i	−0.710818	−	0.410391i	−0.811364	+	0.584541i	$0.801275\pi$
$608$	−3.04974	−	16.2131i	−0.123683	−	0.657528i
$609$	16.6293	−	12.6704i	0.673854	−	0.513432i
$610$		0			0
$611$	−4.04968	−	2.33808i	−0.163832	−	0.0945887i
$612$	25.9593	+	9.31460i	1.04934	+	0.376520i
$613$	19.4874	−	11.2510i	0.787087	−	0.454425i	−0.0518488	−	0.998655i	$-0.516511\pi$
$613$	19.4874	−	11.2510i	0.787087	−	0.454425i	0.838936	+	0.544230i	$0.183178\pi$
$614$	−25.0529	−	4.35864i	−1.01105	−	0.175900i
$615$		0			0
$616$	−4.87137	−	36.0444i	−0.196273	−	1.45227i
$617$			22.5772i			0.908922i	0.890767	+	0.454461i	$0.150168\pi$
$617$			22.5772i			0.908922i	−0.890767	+	0.454461i	$0.849832\pi$
$618$	−1.81298	+	10.4208i	−0.0729289	+	0.419186i
$619$	6.15713	+	10.6645i	0.247476	+	0.428641i	0.962825	−	0.270126i	$-0.0870655\pi$
$619$	6.15713	+	10.6645i	0.247476	+	0.428641i	−0.715349	+	0.698768i	$0.753732\pi$
$620$		0			0
$621$	5.86466	+	3.38596i	0.235341	+	0.135874i
$622$	−37.5983	+	13.7818i	−1.50755	+	0.552600i
$623$	4.30702	+	1.80122i	0.172557	+	0.0721644i
$624$	−2.87042	−	0.479188i	−0.114909	−	0.0191829i
$625$		0			0
$626$	6.07287	+	5.07220i	0.242721	+	0.202726i
$627$	5.75526	+	9.96839i	0.229843	+	0.398099i
$628$	−4.75812	−	26.2834i	−0.189869	−	1.04882i
$629$			10.7308i			0.427866i
$630$		0			0
$631$		−	22.9961i		−	0.915459i	−0.889091	−	0.457730i	$-0.848663\pi$
$631$		−	22.9961i		−	0.915459i	0.889091	−	0.457730i	$-0.151337\pi$
$632$	8.86531	−	5.19954i	0.352643	−	0.206827i
$633$	−2.52176	−	4.36782i	−0.100231	−	0.173605i
$634$	−28.4184	+	34.0249i	−1.12864	+	1.35130i
$635$		0			0
$636$	−0.222740	+	0.188639i	−0.00883223	+	0.00748000i
$637$	6.06874	−	1.58192i	0.240452	−	0.0626781i
$638$	−23.0198	−	62.8006i	−0.911363	−	2.48630i
$639$	16.9879	+	9.80798i	0.672032	+	0.387998i
$640$		0			0
$641$	17.7377	+	30.7226i	0.700598	+	1.21347i	0.968257	+	0.249957i	$0.0804165\pi$
$641$	17.7377	+	30.7226i	0.700598	+	1.21347i	−0.267659	+	0.963514i	$0.586250\pi$
$642$	16.9585	+	2.95040i	0.669299	+	0.116443i
$643$		−	8.46366i		−	0.333774i	−0.985976	−	0.166887i	$-0.946628\pi$
$643$		−	8.46366i		−	0.333774i	0.985976	−	0.166887i	$-0.0533715\pi$
$644$	−5.57518	+	6.09838i	−0.219693	+	0.240310i
$645$		0			0
$646$	4.16496	−	23.9397i	0.163868	−	0.941893i
$647$	−4.29036	+	2.47704i	−0.168672	+	0.0973826i	−0.581959	−	0.813218i	$-0.697714\pi$
$647$	−4.29036	+	2.47704i	−0.168672	+	0.0973826i	0.413288	+	0.910600i	$0.364380\pi$
$648$	9.89959	−	0.0676997i	0.388893	−	0.00265949i
$649$	47.8413	+	27.6212i	1.87793	+	1.08423i
$650$		0			0
$651$	8.75130	+	3.65985i	0.342991	+	0.143441i
$652$	13.7010	−	11.6033i	0.536572	−	0.454422i
$653$	−1.63798	−	0.945688i	−0.0640991	−	0.0370076i	0.467608	−	0.883936i	$-0.345116\pi$
$653$	−1.63798	−	0.945688i	−0.0640991	−	0.0370076i	−0.531707	+	0.846928i	$0.678449\pi$
$654$	−1.17141	+	1.40251i	−0.0458057	+	0.0548425i
$655$		0			0
$656$	−26.6823	+	32.3940i	−1.04177	+	1.26478i
$657$	−20.5526			−0.801833
$658$	10.5114	−	16.4587i	0.409776	−	0.641628i
$659$			4.20598i			0.163842i	0.996639	+	0.0819209i	$0.0261055\pi$
$659$			4.20598i			0.163842i	−0.996639	+	0.0819209i	$0.973895\pi$
$660$		0			0
$661$	9.78997	−	5.65224i	0.380786	−	0.219847i	−0.297374	−	0.954761i	$-0.596111\pi$
$661$	9.78997	−	5.65224i	0.380786	−	0.219847i	0.678160	+	0.734914i	$0.262778\pi$
$662$	19.5034	−	23.3512i	0.758022	−	0.907569i
$663$	−3.71211	−	2.14319i	−0.144166	−	0.0832346i
$664$	−5.01155	−	2.84790i	−0.194486	−	0.110520i
$665$		0			0
$666$	2.07491	+	5.66058i	0.0804011	+	0.219343i
$667$	−7.59740	+	13.1591i	−0.294173	+	0.509522i
$668$	11.5048	−	32.0632i	0.445134	−	1.24056i
$669$	−5.20604	−	9.01713i	−0.201277	−	0.348622i
$670$		0			0
$671$	−29.9197			−1.15504
$672$	2.53556	−	11.8861i	0.0978115	−	0.458516i
$673$			36.8435i			1.42021i	0.704095	+	0.710106i	$0.251353\pi$
$673$			36.8435i			1.42021i	−0.704095	+	0.710106i	$0.748647\pi$
$674$	−0.0813888	−	0.0141598i	−0.00313498	−	0.000545416i
$675$		0			0
$676$	22.9612	+	8.23885i	0.883124	+	0.316879i
$677$	−13.8973	+	24.0708i	−0.534115	+	0.925115i	0.465090	+	0.885263i	$0.346022\pi$
$677$	−13.8973	+	24.0708i	−0.534115	+	0.925115i	−0.999206	+	0.0398518i	$0.987311\pi$
$678$	3.85867	−	1.41441i	0.148191	−	0.0543202i
$679$	−20.5649	+	2.63626i	−0.789209	+	0.101170i
$680$		0			0
$681$	−1.46437	+	2.53637i	−0.0561149	+	0.0971939i
$682$	19.4545	−	23.2926i	0.744951	−	0.891919i
$683$	−23.6203	−	40.9116i	−0.903806	−	1.56544i	−0.822512	−	0.568748i	$-0.807428\pi$
$683$	−23.6203	−	40.9116i	−0.903806	−	1.56544i	−0.0812945	−	0.996690i	$-0.525905\pi$
$684$	−2.43192	−	13.4337i	−0.0929867	−	0.513649i
$685$		0			0
$686$	5.46595	+	25.6149i	0.208691	+	0.977982i
$687$	14.4446			0.551096
$688$	−9.40391	−	7.74580i	−0.358521	−	0.295306i
$689$	−0.139448	+	0.0805103i	−0.00531254	+	0.00306720i
$690$		0			0
$691$	−17.2216	+	29.8286i	−0.655139	+	1.13473i	0.326720	+	0.945121i	$0.394057\pi$
$691$	−17.2216	+	29.8286i	−0.655139	+	1.13473i	−0.981859	+	0.189613i	$0.939277\pi$
$692$	−25.1306	+	21.2830i	−0.955321	+	0.809060i
$693$	−3.82710	−	29.8544i	−0.145380	−	1.13408i
$694$	11.7029	−	4.28974i	0.444236	−	0.162836i
$695$		0			0
$696$	−0.152838	−	22.3493i	−0.00579333	−	0.847147i
$697$	−53.5336	+	30.9076i	−2.02773	+	1.17071i
$698$	−2.48778	−	0.432818i	−0.0941639	−	0.0163824i
$699$	−0.222559			−0.00841795
$700$		0			0
$701$	−28.7191			−1.08470			−0.542352	−	0.840151i	$-0.682466\pi$
$701$	−28.7191			−1.08470			−0.542352	+	0.840151i	$0.682466\pi$
$702$	−5.41356	−	0.941838i	−0.204322	−	0.0355474i
$703$	4.60012	−	2.65588i	0.173497	−	0.100168i
$704$	−33.9368	−	18.9793i	−1.27904	−	0.715311i
$705$		0			0
$706$	−36.5057	+	13.3813i	−1.37391	+	0.503612i
$707$	15.3319	−	11.6819i	0.576616	−	0.439344i
$708$	11.9295	+	14.0861i	0.448338	+	0.529388i
$709$	24.7310	−	42.8354i	0.928794	−	1.60872i	0.143450	−	0.989658i	$-0.454180\pi$
$709$	24.7310	−	42.8354i	0.928794	−	1.60872i	0.785344	−	0.619060i	$-0.212486\pi$
$710$		0			0
$711$	7.36550	−	4.25247i	0.276228	−	0.159480i
$712$	4.30502	−	2.52491i	0.161337	−	0.0946251i
$713$	−6.89430			−0.258193
$714$	9.63519	−	15.0868i	0.360588	−	0.564609i
$715$		0			0
$716$	−21.0544	+	3.81151i	−0.786840	+	0.142443i
$717$	9.34879	+	16.1926i	0.349137	+	0.604723i
$718$	−16.8660	+	20.1934i	−0.629434	+	0.753612i
$719$	2.38663	−	4.13376i	0.0890061	−	0.154163i	−0.818085	−	0.575097i	$-0.804964\pi$
$719$	2.38663	−	4.13376i	0.0890061	−	0.154163i	0.907091	+	0.420934i	$0.138298\pi$
$720$		0			0
$721$	−22.4818	−	9.40205i	−0.837268	−	0.350151i
$722$	13.9352	−	5.10801i	0.518616	−	0.190101i
$723$	−1.52469	+	2.64084i	−0.0567038	+	0.0982138i
$724$	−7.33968	+	20.4553i	−0.272777	+	0.760215i
$725$		0			0
$726$	14.2826	+	2.48485i	0.530076	+	0.0922214i
$727$		−	20.9881i		−	0.778405i	−0.921152	−	0.389202i	$-0.872751\pi$
$727$		−	20.9881i		−	0.778405i	0.921152	−	0.389202i	$-0.127249\pi$
$728$	2.54443	−	6.20298i	0.0943027	−	0.229898i
$729$	−2.37261			−0.0878744
$730$		0			0
$731$	−8.97240	−	15.5406i	−0.331856	−	0.574792i
$732$	−9.41008	−	3.37648i	−0.347806	−	0.124798i
$733$	9.49880	−	16.4524i	0.350846	−	0.607684i	−0.635552	−	0.772058i	$-0.719227\pi$
$733$	9.49880	−	16.4524i	0.350846	−	0.607684i	0.986398	+	0.164375i	$0.0525606\pi$
$734$	10.7002	+	29.1913i	0.394951	+	1.07747i
$735$		0			0
$736$	1.63292	+	8.68099i	0.0601903	+	0.319986i
$737$	32.8282	+	18.9534i	1.20924	+	0.698156i
$738$	−22.2630	+	26.6552i	−0.819513	+	0.981191i
$739$	−15.2226	+	8.78874i	−0.559971	+	0.323299i	−0.753134	−	0.657867i	$-0.771459\pi$
$739$	−15.2226	+	8.78874i	−0.559971	+	0.323299i	0.193163	+	0.981167i	$0.438125\pi$
$740$		0			0
$741$			2.12176i			0.0779447i
$742$	−0.309839	−	0.596832i	−0.0113746	−	0.0219104i
$743$	0.624385			0.0229065			0.0114532	−	0.999934i	$-0.496354\pi$
$743$	0.624385			0.0229065			0.0114532	+	0.999934i	$0.496354\pi$
$744$	8.74724	−	5.13030i	0.320689	−	0.188086i
$745$		0			0
$746$	0.512769	−	0.613931i	0.0187738	−	0.0224776i
$747$	−4.13096	−	2.38501i	−0.151144	−	0.0872629i
$748$	−37.0132	−	43.7045i	−1.35334	−	1.59799i
$749$	−15.3006	+	36.5863i	−0.559073	+	1.33684i
$750$		0			0
$751$	−28.7011	−	16.5706i	−1.04732	−	0.604670i	−0.125422	−	0.992103i	$-0.540028\pi$
$751$	−28.7011	−	16.5706i	−1.04732	−	0.604670i	−0.921898	+	0.387433i	$0.873362\pi$
$752$	−7.31903	−	19.5523i	−0.266898	−	0.712999i
$753$	−0.188624	+	0.108902i	−0.00687384	+	0.00396862i
$754$	2.11329	−	12.1469i	0.0769615	−	0.442364i
$755$		0			0
$756$	4.94097	−	22.4099i	0.179701	−	0.815038i
$757$			43.9649i			1.59793i	0.601376	+	0.798966i	$0.294620\pi$
$757$			43.9649i			1.59793i	−0.601376	+	0.798966i	$0.705380\pi$
$758$	39.4709	+	6.86705i	1.43365	+	0.249423i
$759$	−3.08154	−	5.33738i	−0.111853	−	0.193735i
$760$		0			0
$761$	−6.43253	−	3.71382i	−0.233179	−	0.134626i	0.378859	−	0.925455i	$-0.376317\pi$
$761$	−6.43253	−	3.71382i	−0.233179	−	0.134626i	−0.612038	+	0.790829i	$0.709650\pi$
$762$	−3.03305	−	8.27450i	−0.109876	−	0.299754i
$763$	−2.55149	−	3.34870i	−0.0923701	−	0.121231i
$764$	−0.655554	−	0.774065i	−0.0237171	−	0.0280047i
$765$		0			0
$766$	−2.79767	+	3.34961i	−0.101084	+	0.121026i
$767$	5.09147	+	8.81869i	0.183842	+	0.318424i
$768$	−8.53163	−	9.79902i	−0.307859	−	0.353592i
$769$		−	17.2607i		−	0.622438i	−0.950338	−	0.311219i	$-0.899263\pi$
$769$		−	17.2607i		−	0.622438i	0.950338	−	0.311219i	$-0.100737\pi$
$770$		0			0
$771$			25.2426i			0.909089i
$772$	−40.9731	+	7.41742i	−1.47465	+	0.266959i
$773$	−17.6826	−	30.6272i	−0.636000	−	1.10158i	−0.986302	−	0.164948i	$-0.947254\pi$
$773$	−17.6826	−	30.6272i	−0.636000	−	1.10158i	0.350302	−	0.936637i	$-0.386079\pi$
$774$	−7.73793	−	6.46289i	−0.278134	−	0.232304i
$775$		0			0
$776$	−10.9508	+	19.2706i	−0.393112	+	0.691773i
$777$	3.88137	−	0.497560i	0.139243	−	0.0178499i
$778$	21.7148	−	7.95963i	0.778512	−	0.285367i
$779$	26.4991	+	15.2993i	0.949430	+	0.548153i
$780$		0			0
$781$	−20.3671	−	35.2768i	−0.728792	−	1.26230i
$782$	−2.23005	+	12.8180i	−0.0797464	+	0.458372i
$783$		−	42.2005i		−	1.50812i
$784$	25.4039	+	11.7746i	0.907282	+	0.420522i
$785$		0			0
$786$	−22.5241	−	3.91869i	−0.803409	−	0.139775i
$787$	9.69103	−	5.59512i	0.345448	−	0.199444i	−0.317231	−	0.948348i	$-0.602753\pi$
$787$	9.69103	−	5.59512i	0.345448	−	0.199444i	0.662678	+	0.748904i	$0.269420\pi$
$788$	−5.98527	+	16.6806i	−0.213216	+	0.594222i
$789$	19.5827	+	11.3061i	0.697164	+	0.402508i
$790$		0			0
$791$	1.20390	+	9.39140i	0.0428058	+	0.333920i
$792$	−27.9754	−	15.8975i	−0.994062	−	0.564894i
$793$	−4.77628	−	2.75759i	−0.169611	−	0.0979248i
$794$	−8.49298	−	7.09353i	−0.301405	−	0.251740i
$795$		0			0
$796$	−8.27130	−	45.6898i	−0.293169	−	1.61943i
$797$	9.18543			0.325365			0.162682	−	0.986679i	$-0.447985\pi$
$797$	9.18543			0.325365			0.162682	+	0.986679i	$0.447985\pi$
$798$	−8.85215	−	0.396459i	−0.313363	−	0.0140345i
$799$		−	30.7504i		−	1.08787i
$800$		0			0
$801$	3.57670	−	2.06501i	0.126377	−	0.0729636i
$802$	−21.4778	−	17.9388i	−0.758409	−	0.633440i
$803$	36.9613	+	21.3396i	1.30433	+	0.753058i
$804$	8.18590	+	9.66574i	0.288694	+	0.340884i
$805$		0			0
$806$	5.25243	−	1.92530i	0.185009	−	0.0678157i
$807$	−0.586638	+	1.01609i	−0.0206506	+	0.0357680i
$808$	−0.140914	−	20.6056i	−0.00495735	−	0.724903i
$809$	−0.0848856	−	0.147026i	−0.00298442	−	0.00516917i	0.864529	−	0.502582i	$-0.167617\pi$
$809$	−0.0848856	−	0.147026i	−0.00298442	−	0.00516917i	−0.867514	+	0.497413i	$0.834283\pi$
$810$		0			0
$811$	38.6906			1.35861			0.679306	−	0.733855i	$-0.262281\pi$
$811$	38.6906			1.35861			0.679306	+	0.733855i	$0.262281\pi$
$812$	50.2831	+	11.0865i	1.76459	+	0.389061i
$813$			11.3638i			0.398547i
$814$	2.14588	−	12.3342i	0.0752129	−	0.432314i
$815$		0			0
$816$	−6.70895	−	17.9225i	−0.234860	−	0.627413i
$817$	−4.44134	+	7.69262i	−0.155383	+	0.269131i
$818$	12.3146	+	33.5957i	0.430571	+	1.17465i
$819$	2.14062	−	5.11859i	0.0747995	−	0.178858i
$820$		0			0
$821$	−16.9114	+	29.2914i	−0.590213	+	1.02228i	0.403991	+	0.914763i	$0.367623\pi$
$821$	−16.9114	+	29.2914i	−0.590213	+	1.02228i	−0.994203	+	0.107515i	$0.965710\pi$
$822$	−7.78826	−	6.50493i	−0.271647	−	0.226886i
$823$	5.21506	+	9.03275i	0.181786	+	0.314862i	0.942489	−	0.334238i	$-0.108479\pi$
$823$	5.21506	+	9.03275i	0.181786	+	0.314862i	−0.760703	+	0.649100i	$0.775146\pi$
$824$	−22.4714	+	13.1796i	−0.782828	+	0.459132i
$825$		0			0
$826$	−37.7437	+	19.5942i	−1.31327	+	0.681771i
$827$	10.1110			0.351594			0.175797	−	0.984426i	$-0.443750\pi$
$827$	10.1110			0.351594			0.175797	+	0.984426i	$0.443750\pi$
$828$	1.30212	+	7.19279i	0.0452519	+	0.249967i
$829$	−6.66205	+	3.84634i	−0.231383	+	0.133589i	−0.611210	−	0.791469i	$-0.709317\pi$
$829$	−6.66205	+	3.84634i	−0.231383	+	0.133589i	0.379827	+	0.925058i	$0.375983\pi$
$830$		0			0
$831$	−7.51686	+	13.0196i	−0.260757	+	0.451645i
$832$	−3.66829	−	6.15761i	−0.127175	−	0.213477i
$833$	28.9630	+	29.3599i	1.00351	+	1.01726i
$834$	−3.12744	−	8.53200i	−0.108294	−	0.295439i
$835$		0			0
$836$	−9.57457	+	26.6838i	−0.331143	+	0.922878i
$837$	16.5822	−	9.57376i	0.573166	−	0.330918i
$838$	−4.04332	+	23.2405i	−0.139674	+	0.802830i
$839$	−46.1347			−1.59275			−0.796373	−	0.604806i	$-0.793251\pi$
$839$	−46.1347			−1.59275			−0.796373	+	0.604806i	$0.793251\pi$
$840$		0			0
$841$	65.6893			2.26515
$842$	0.759451	−	4.36522i	0.0261724	−	0.150436i
$843$	6.33524	−	3.65765i	0.218197	−	0.125976i
$844$	4.19526	−	11.6920i	0.144407	−	0.402454i
$845$		0			0
$846$	−5.94588	−	16.2210i	−0.204423	−	0.557690i
$847$	−12.8863	+	30.8133i	−0.442778	+	1.05876i
$848$	−0.709083	−	0.118374i	−0.0243500	−	0.00406500i
$849$	−11.0824	+	19.1952i	−0.380346	+	0.658778i
$850$		0			0
$851$	−2.46305	+	1.42204i	−0.0844321	+	0.0487469i
$852$	−2.42463	−	13.3934i	−0.0830663	−	0.458850i
$853$	−29.1420			−0.997804			−0.498902	−	0.866658i	$-0.666263\pi$
$853$	−29.1420			−0.997804			−0.498902	+	0.866658i	$0.666263\pi$
$854$	12.3974	−	19.4118i	0.424229	−	0.664258i
$855$		0			0
$856$	21.4481	+	36.5693i	0.733080	+	1.24991i
$857$	−6.08543	−	10.5403i	−0.207874	−	0.360049i	0.743170	−	0.669102i	$-0.233321\pi$
$857$	−6.08543	−	10.5403i	−0.207874	−	0.360049i	−0.951045	+	0.309053i	$0.899988\pi$
$858$	3.83819	+	3.20574i	0.131034	+	0.109442i
$859$	−2.45770	+	4.25686i	−0.0838555	+	0.145242i	−0.904903	−	0.425618i	$-0.860057\pi$
$859$	−2.45770	+	4.25686i	−0.0838555	+	0.145242i	0.821047	+	0.570860i	$0.193390\pi$
$860$		0			0
$861$	13.6616	+	17.9301i	0.465585	+	0.611057i
$862$	−13.2349	−	36.1062i	−0.450781	−	1.22978i
$863$	−10.7135	+	18.5564i	−0.364692	+	0.631666i	−0.988727	−	0.149731i	$-0.952159\pi$
$863$	−10.7135	+	18.5564i	−0.364692	+	0.631666i	0.624034	+	0.781397i	$0.285493\pi$
$864$	−15.9824	−	18.6121i	−0.543731	−	0.633195i
$865$		0			0
$866$	7.76175	−	44.6135i	0.263755	−	1.51603i
$867$		−	14.3824i		−	0.488453i
$868$	7.05107	+	22.2733i	0.239329	+	0.756006i
$869$	−17.6612			−0.599116
$870$		0			0
$871$	3.49371	+	6.05129i	0.118380	+	0.205040i
$872$	−4.50055	+	0.0307776i	−0.152408	+	0.00104226i
$873$	−9.17091	+	15.8845i	−0.310388	+	0.537608i
$874$	6.04680	−	2.21648i	0.204536	−	0.0749735i
$875$		0			0
$876$	9.21650	+	10.8827i	0.311397	+	0.367691i
$877$	20.9794	+	12.1125i	0.708424	+	0.409009i	0.810477	−	0.585770i	$-0.199208\pi$
$877$	20.9794	+	12.1125i	0.708424	+	0.409009i	−0.102053	+	0.994779i	$0.532541\pi$
$878$	21.8173	+	18.2223i	0.736297	+	0.614972i
$879$	7.47767	−	4.31723i	0.252216	−	0.145617i
$880$		0			0
$881$		−	30.4932i		−	1.02734i	−0.857987	−	0.513671i	$-0.828285\pi$
$881$		−	30.4932i		−	1.02734i	0.857987	−	0.513671i	$-0.171715\pi$
$882$	20.9552	+	9.88729i	0.705598	+	0.332922i
$883$	0.362622			0.0122032			0.00610160	−	0.999981i	$-0.498058\pi$
$883$	0.362622			0.0122032			0.00610160	+	0.999981i	$0.498058\pi$
$884$	−1.88059	−	10.3882i	−0.0632511	−	0.349393i
$885$		0			0
$886$	−16.1693	−	13.5049i	−0.543217	−	0.453707i
$887$	−32.6816	−	18.8687i	−1.09734	−	0.633550i	−0.161820	−	0.986820i	$-0.551736\pi$
$887$	−32.6816	−	18.8687i	−1.09734	−	0.633550i	−0.935521	+	0.353270i	$0.885070\pi$
$888$	2.06683	−	3.63707i	0.0693584	−	0.122052i
$889$	20.1388	−	2.58163i	0.675434	−	0.0865852i
$890$		0			0
$891$	−14.7329	−	8.50603i	−0.493570	−	0.284963i
$892$	8.66089	−	24.1374i	0.289988	−	0.808180i
$893$	−13.1822	+	7.61072i	−0.441124	+	0.254683i
$894$	−1.94942	−	0.339155i	−0.0651983	−	0.0113430i
$895$		0			0
$896$	26.3755	−	14.1539i	0.881145	−	0.472847i
$897$		−	1.13605i		−	0.0379317i
$898$	1.49949	−	8.61888i	0.0500387	−	0.287616i
$899$	21.4815	+	37.2071i	0.716450	+	1.24093i
$900$		0			0
$901$	−0.917007	−	0.529434i	−0.0305499	−	0.0176380i
$902$	67.7131	−	24.8205i	2.25460	−	0.826432i
$903$	−5.20507	+	3.96592i	−0.173214	+	0.131978i
$904$	8.80030	+	5.00093i	0.292694	+	0.166328i
$905$		0			0
$906$	0.717579	+	0.599338i	0.0238400	+	0.0199117i
$907$	−2.54710	−	4.41171i	−0.0845752	−	0.146489i	0.820635	−	0.571453i	$-0.193620\pi$
$907$	−2.54710	−	4.41171i	−0.0845752	−	0.146489i	−0.905210	+	0.424964i	$0.860287\pi$
$908$	−7.09792	+	1.28495i	−0.235553	+	0.0426425i
$909$		−	17.0520i		−	0.565580i
$910$		0			0
$911$		−	4.73127i		−	0.156754i	−0.996924	−	0.0783769i	$-0.975026\pi$
$911$		−	4.73127i		−	0.156754i	0.996924	−	0.0783769i	$-0.0249738\pi$
$912$	−6.02260	+	7.31183i	−0.199428	+	0.242119i
$913$	4.95267	+	8.57828i	0.163910	+	0.283900i
$914$	21.1686	−	25.3449i	0.700195	−	0.838334i
$915$		0			0
$916$	22.9918	+	27.1483i	0.759671	+	0.897004i
$917$	20.3221	−	48.5936i	0.671096	−	1.60470i
$918$	−12.4360	−	33.9268i	−0.410449	−	1.11975i
$919$	25.6239	+	14.7939i	0.845254	+	0.488007i	0.859047	−	0.511898i	$-0.171057\pi$
$919$	25.6239	+	14.7939i	0.845254	+	0.488007i	−0.0137930	+	0.999905i	$0.504391\pi$
$920$		0			0
$921$	7.30073	+	12.6452i	0.240567	+	0.416675i
$922$	−24.2543	−	4.21970i	−0.798773	−	0.138969i
$923$		−	7.50862i		−	0.247149i
$924$	−14.0918	+	15.4142i	−0.463586	+	0.507091i
$925$		0			0
$926$	−0.233312	+	1.34105i	−0.00766712	+	0.0440696i
$927$	−18.6697	+	10.7790i	−0.613195	+	0.354028i
$928$	41.7616	−	35.8612i	1.37089	−	1.17720i
$929$	−0.232942	−	0.134489i	−0.00764257	−	0.00441244i	0.496174	−	0.868223i	$-0.334738\pi$
$929$	−0.232942	−	0.134489i	−0.00764257	−	0.00441244i	−0.503816	+	0.863811i	$0.668071\pi$
$930$		0			0
$931$	5.41776	−	19.6825i	0.177560	−	0.645069i
$932$	−0.354252	−	0.418294i	−0.0116039	−	0.0137017i
$933$	19.9131	+	11.4968i	0.651924	+	0.376389i
$934$	0.263793	−	0.315836i	0.00863158	−	0.0103345i
$935$		0			0
$936$	−3.00068	−	5.11621i	−0.0980802	−	0.167228i
$937$	32.3858			1.05800			0.528999	−	0.848623i	$-0.322568\pi$
$937$	32.3858			1.05800			0.528999	+	0.848623i	$0.322568\pi$
$938$	−25.8993	+	13.4454i	−0.845643	+	0.439007i
$939$		−	4.54334i		−	0.148266i
$940$		0			0
$941$	−14.7440	+	8.51248i	−0.480642	+	0.277499i	−0.720684	−	0.693264i	$-0.756172\pi$
$941$	−14.7440	+	8.51248i	−0.480642	+	0.277499i	0.240042	+	0.970763i	$0.422839\pi$
$942$	−9.83176	+	11.7714i	−0.320336	+	0.383534i
$943$	−14.1884	−	8.19170i	−0.462039	−	0.266758i
$944$	−7.48600	+	44.8424i	−0.243649	+	1.45950i
$945$		0			0
$946$	7.20533	+	19.6569i	0.234265	+	0.639102i
$947$	−0.183088	+	0.317117i	−0.00594955	+	0.0103049i	−0.868985	−	0.494839i	$-0.835227\pi$
$947$	−0.183088	+	0.317117i	−0.00594955	+	0.0103049i	0.863035	+	0.505144i	$0.168560\pi$
$948$	−5.55464	−	1.99309i	−0.180406	−	0.0647327i
$949$	3.93357	+	6.81315i	0.127689	+	0.221164i
$950$		0			0
$951$	25.4553			0.825444
$952$	43.6918	−	5.90491i	1.41606	−	0.191379i
$953$		−	28.7452i		−	0.931148i	−0.885009	−	0.465574i	$-0.845848\pi$
$953$		−	28.7452i		−	0.931148i	0.885009	−	0.465574i	$-0.154152\pi$
$954$	−0.586099	−	0.101968i	−0.0189756	−	0.00330134i
$955$		0			0
$956$	−15.5528	+	43.3449i	−0.503015	+	1.40187i
$957$	−19.2032	+	33.2609i	−0.620751	+	1.07517i
$958$	26.2771	−	9.63196i	0.848973	−	0.311194i
$959$	18.5956	−	14.1686i	0.600483	−	0.457529i
$960$		0			0
$961$	5.75324	−	9.96490i	0.185588	−	0.321448i
$962$	1.47936	−	1.77121i	0.0476963	−	0.0571061i
$963$	17.5414	+	30.3826i	0.565264	+	0.979067i
$964$	−7.39027	+	1.33787i	−0.238025	+	0.0430900i
$965$		0			0
$966$	4.73971	+	0.212276i	0.152498	+	0.00682987i
$967$	−38.1396			−1.22649			−0.613243	−	0.789895i	$-0.710135\pi$
$967$	−38.1396			−1.22649			−0.613243	+	0.789895i	$0.710135\pi$
$968$	18.0637	+	30.7990i	0.580590	+	0.989916i
$969$	−12.0833	+	6.97632i	−0.388173	+	0.224112i
$970$		0			0
$971$	2.80103	−	4.85153i	0.0898895	−	0.155693i	−0.817575	−	0.575822i	$-0.804682\pi$
$971$	2.80103	−	4.85153i	0.0898895	−	0.155693i	0.907464	+	0.420129i	$0.138015\pi$
$972$	−20.4902	−	24.1944i	−0.657224	−	0.776036i
$973$	20.7655	−	2.66197i	0.665712	−	0.0853389i
$974$	−30.0373	+	11.0103i	−0.962458	+	0.352793i
$975$		0			0
$976$	−8.63223	−	23.0604i	−0.276311	−	0.738146i
$977$	−36.0007	+	20.7850i	−1.15176	+	0.664972i	−0.949317	−	0.314321i	$-0.898223\pi$
$977$	−36.0007	+	20.7850i	−1.15176	+	0.664972i	−0.202448	+	0.979293i	$0.564890\pi$
$978$	−10.1568	−	1.76705i	−0.324777	−	0.0565039i
$979$	−8.57634			−0.274101
$980$		0			0
$981$	−3.72439			−0.118911
$982$	54.2775	+	9.44307i	1.73207	+	0.301340i
$983$	39.0742	−	22.5595i	1.24627	−	0.719536i	0.275909	−	0.961184i	$-0.411021\pi$
$983$	39.0742	−	22.5595i	1.24627	−	0.719536i	0.970364	+	0.241647i	$0.0776878\pi$
$984$	24.0975	−	0.164794i	0.768201	−	0.00525344i
$985$		0			0
$986$	76.1248	−	27.9038i	2.42431	−	0.888639i
$987$	−11.1225	+	1.42581i	−0.354033	+	0.0453842i
$988$	−3.98779	+	3.37725i	−0.126869	+	0.107445i
$989$	2.37803	−	4.11887i	0.0756169	−	0.130972i
$990$		0			0
$991$	22.2587	−	12.8510i	0.707069	−	0.408227i	−0.102906	−	0.994691i	$-0.532814\pi$
$991$	22.2587	−	12.8510i	0.707069	−	0.408227i	0.809975	+	0.586464i	$0.199481\pi$
$992$	23.5655	+	8.27420i	0.748204	+	0.262706i
$993$	−17.4699			−0.554389
$994$	31.3266	+	1.40302i	0.993620	+	0.0445010i
$995$		0			0
$996$	0.589597	+	3.25688i	0.0186821	+	0.103198i
$997$	−14.9574	−	25.9069i	−0.473705	−	0.820481i	0.525842	−	0.850582i	$-0.323750\pi$
$997$	−14.9574	−	25.9069i	−0.473705	−	0.820481i	−0.999547	+	0.0301015i	$0.990417\pi$
$998$	−34.1398	+	40.8751i	−1.08068	+	1.29388i
$999$	3.94943	−	6.84061i	0.124954	−	0.216427i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	700.2.t.c.299.8		32
4.3	odd	2	inner	700.2.t.c.299.4		32
5.2	odd	4		700.2.p.c.551.16		32
5.3	odd	4		140.2.o.a.131.1	yes	32
5.4	even	2		700.2.t.d.299.9		32
7.3	odd	6		700.2.t.d.199.13		32
20.3	even	4		140.2.o.a.131.12	yes	32
20.7	even	4		700.2.p.c.551.5		32
20.19	odd	2		700.2.t.d.299.13		32
28.3	even	6		700.2.t.d.199.9		32
35.3	even	12		140.2.o.a.31.12	yes	32
35.13	even	4		980.2.o.f.411.1		32
35.17	even	12		700.2.p.c.451.5		32
35.18	odd	12		980.2.o.f.31.12		32
35.23	odd	12		980.2.g.a.391.24		32
35.24	odd	6	inner	700.2.t.c.199.4		32
35.33	even	12		980.2.g.a.391.23		32
140.3	odd	12		140.2.o.a.31.1	✓	32
140.23	even	12		980.2.g.a.391.21		32
140.59	even	6	inner	700.2.t.c.199.8		32
140.83	odd	4		980.2.o.f.411.12		32
140.87	odd	12		700.2.p.c.451.16		32
140.103	odd	12		980.2.g.a.391.22		32
140.123	even	12		980.2.o.f.31.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
140.2.o.a.31.1	✓	32	140.3	odd	12
140.2.o.a.31.12	yes	32	35.3	even	12
140.2.o.a.131.1	yes	32	5.3	odd	4
140.2.o.a.131.12	yes	32	20.3	even	4
700.2.p.c.451.5		32	35.17	even	12
700.2.p.c.451.16		32	140.87	odd	12
700.2.p.c.551.5		32	20.7	even	4
700.2.p.c.551.16		32	5.2	odd	4
700.2.t.c.199.4		32	35.24	odd	6	inner
700.2.t.c.199.8		32	140.59	even	6	inner
700.2.t.c.299.4		32	4.3	odd	2	inner
700.2.t.c.299.8		32	1.1	even	1	trivial
700.2.t.d.199.9		32	28.3	even	6
700.2.t.d.199.13		32	7.3	odd	6
700.2.t.d.299.9		32	5.4	even	2
700.2.t.d.299.13		32	20.19	odd	2
980.2.g.a.391.21		32	140.23	even	12
980.2.g.a.391.22		32	140.103	odd	12
980.2.g.a.391.23		32	35.33	even	12
980.2.g.a.391.24		32	35.23	odd	12
980.2.o.f.31.1		32	140.123	even	12
980.2.o.f.31.12		32	35.18	odd	12
980.2.o.f.411.1		32	35.13	even	4
980.2.o.f.411.12		32	140.83	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 700 = 2^{2} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	700.t (of order \(6\), degree \(2\), not minimal)

\(f(q)\)	\(=\)	\(q+(0.242400 - 1.39328i) q^{2} +(-0.703249 + 0.406021i) q^{3} +(-1.88248 - 0.675465i) q^{4} +(0.395235 + 1.07825i) q^{6} +(-2.62428 + 0.336411i) q^{7} +(-1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +O(q^{10})\)	\(q+(0.242400 - 1.39328i) q^{2} +(-0.703249 + 0.406021i) q^{3} +(-1.88248 - 0.675465i) q^{4} +(0.395235 + 1.07825i) q^{6} +(-2.62428 + 0.336411i) q^{7} +(-1.39743 + 2.45910i) q^{8} +(-1.17029 + 2.02701i) q^{9} +(4.20925 - 2.43021i) q^{11} +(1.59811 - 0.289308i) q^{12} +0.895933 q^{13} +(-0.167409 + 3.73791i) q^{14} +(3.08749 + 2.54310i) q^{16} +(2.94582 + 5.10231i) q^{17} +(2.54052 + 2.12190i) q^{18} +(1.45818 - 2.52565i) q^{19} +(1.70893 - 1.30209i) q^{21} +(-2.36566 - 6.45377i) q^{22} +(-0.780755 + 1.35231i) q^{23} +(-0.0157066 - 2.29675i) q^{24} +(0.217174 - 1.24829i) q^{26} -4.33678i q^{27} +(5.16739 + 1.13932i) q^{28} +9.73084 q^{29} +(2.20757 + 3.82363i) q^{31} +(4.29168 - 3.68531i) q^{32} +(-1.97344 + 3.41809i) q^{33} +(7.82304 - 2.86757i) q^{34} +(3.57223 - 3.02532i) q^{36} +(1.57735 + 0.910682i) q^{37} +(-3.16548 - 2.64388i) q^{38} +(-0.630064 + 0.363768i) q^{39} +10.4920i q^{41} +(-1.39994 - 2.69665i) q^{42} -3.04581 q^{43} +(-9.56538 + 1.73164i) q^{44} +(1.69489 + 1.41561i) q^{46} +(-4.52006 - 2.60966i) q^{47} +(-3.20383 - 0.534848i) q^{48} +(6.77366 - 1.76567i) q^{49} +(-4.14329 - 2.39213i) q^{51} +(-1.68658 - 0.605172i) q^{52} +(-0.155645 + 0.0898619i) q^{53} +(-6.04237 - 1.05124i) q^{54} +(2.83997 - 6.92348i) q^{56} +2.36821i q^{57} +(2.35876 - 13.5578i) q^{58} +(5.68287 + 9.84302i) q^{59} +(-5.33107 - 3.07789i) q^{61} +(5.86252 - 2.14893i) q^{62} +(2.38927 - 5.71313i) q^{63} +(-4.09438 - 6.87285i) q^{64} +(4.28401 + 3.57810i) q^{66} +(3.89952 + 6.75417i) q^{67} +(-2.09903 - 11.5948i) q^{68} -1.26801i q^{69} -8.38078i q^{71} +(-3.34922 - 5.71048i) q^{72} +(4.39048 + 7.60453i) q^{73} +(1.65119 - 1.97695i) q^{74} +(-4.45099 + 3.76954i) q^{76} +(-10.2287 + 7.79359i) q^{77} +(0.354104 + 0.966036i) q^{78} +(-3.14686 - 1.81684i) q^{79} +(-1.75006 - 3.03119i) q^{81} +(14.6184 + 2.54327i) q^{82} +2.03796i q^{83} +(-4.09655 + 1.29685i) q^{84} +(-0.738304 + 4.24367i) q^{86} +(-6.84320 + 3.95092i) q^{87} +(0.0940110 + 13.7470i) q^{88} +(-1.52812 - 0.882262i) q^{89} +(-2.35118 + 0.301402i) q^{91} +(2.38320 - 2.01832i) q^{92} +(-3.10495 - 1.79264i) q^{93} +(-4.73166 + 5.66515i) q^{94} +(-1.52181 + 4.33420i) q^{96} +7.83641 q^{97} +(-0.818148 - 9.86563i) q^{98} +11.3763i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 2 q^{4} + 16 q^{9}+O(q^{10}) \) 32 * q + 2 * q^4 + 16 * q^9	\( 32 q + 2 q^{4} + 16 q^{9} - 14 q^{12} - 8 q^{13} - 2 q^{14} - 14 q^{16} + 54 q^{18} - 12 q^{21} - 36 q^{24} + 30 q^{26} + 32 q^{28} + 40 q^{29} + 60 q^{32} - 24 q^{33} + 60 q^{36} - 60 q^{37} - 46 q^{38} + 78 q^{42} + 18 q^{44} + 2 q^{46} - 28 q^{48} + 16 q^{49} - 46 q^{52} - 12 q^{53} - 12 q^{54} - 4 q^{56} + 42 q^{58} + 24 q^{61} + 8 q^{62} - 4 q^{64} + 24 q^{66} - 4 q^{68} + 90 q^{72} - 24 q^{73} - 38 q^{74} + 20 q^{77} - 36 q^{81} + 8 q^{82} + 20 q^{84} + 28 q^{86} - 78 q^{88} + 60 q^{89} + 72 q^{93} - 18 q^{94} - 60 q^{96} - 48 q^{97} - 124 q^{98}+O(q^{100}) \) 32 * q + 2 * q^4 + 16 * q^9 - 14 * q^12 - 8 * q^13 - 2 * q^14 - 14 * q^16 + 54 * q^18 - 12 * q^21 - 36 * q^24 + 30 * q^26 + 32 * q^28 + 40 * q^29 + 60 * q^32 - 24 * q^33 + 60 * q^36 - 60 * q^37 - 46 * q^38 + 78 * q^42 + 18 * q^44 + 2 * q^46 - 28 * q^48 + 16 * q^49 - 46 * q^52 - 12 * q^53 - 12 * q^54 - 4 * q^56 + 42 * q^58 + 24 * q^61 + 8 * q^62 - 4 * q^64 + 24 * q^66 - 4 * q^68 + 90 * q^72 - 24 * q^73 - 38 * q^74 + 20 * q^77 - 36 * q^81 + 8 * q^82 + 20 * q^84 + 28 * q^86 - 78 * q^88 + 60 * q^89 + 72 * q^93 - 18 * q^94 - 60 * q^96 - 48 * q^97 - 124 * q^98

Introduction

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