LMFDB - Embedded newform 196.2.j.a.111.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [196,2,Mod(27,196)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(196, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 1]))

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

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

chi := DirichletCharacter("196.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$196 = 2^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	196.j (of order $14$ , degree $6$ , 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:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$156$
Relative dimension:	$26$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			111.16
Character	$\chi$	$=$	196.111
Dual form			196.2.j.a.83.16

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.533027 + 1.30992i) q^{2} +(-1.93005 - 2.42020i) q^{3} +(-1.43177 + 1.39644i) q^{4} +(-0.829015 + 0.661117i) q^{5} +(2.14150 - 3.81823i) q^{6} +(-1.04761 + 2.42951i) q^{7} +(-2.59239 - 1.13115i) q^{8} +(-1.46474 + 6.41743i) q^{9} +(-1.30790 - 0.733548i) q^{10} +(-3.36024 + 0.766954i) q^{11} +(6.14304 + 0.769965i) q^{12} +(-3.48101 + 0.794517i) q^{13} +(-3.74086 - 0.0772887i) q^{14} +(3.20008 + 0.730396i) q^{15} +(0.0999047 - 3.99875i) q^{16} +(2.25572 - 4.68405i) q^{17} +(-9.18704 + 1.50198i) q^{18} -0.920422 q^{19} +(0.263744 - 2.10424i) q^{20} +(7.90184 - 2.15364i) q^{21} +(-2.79574 - 3.99283i) q^{22} +(0.999991 + 2.07650i) q^{23} +(2.26582 + 8.45729i) q^{24} +(-0.862415 + 3.77849i) q^{25} +(-2.89622 - 4.13633i) q^{26} +(9.99148 - 4.81164i) q^{27} +(-1.89274 - 4.94141i) q^{28} +(2.52347 + 1.21524i) q^{29} +(0.748967 + 4.58115i) q^{30} +2.87983 q^{31} +(5.29129 - 2.00057i) q^{32} +(8.34161 + 6.65221i) q^{33} +(7.33808 + 0.458083i) q^{34} +(-0.737707 - 2.70669i) q^{35} +(-6.86440 - 11.2337i) q^{36} +(-5.54276 - 2.66925i) q^{37} +(-0.490610 - 1.20568i) q^{38} +(8.64140 + 6.89128i) q^{39} +(2.89696 - 0.776131i) q^{40} +(-3.42136 + 2.72844i) q^{41} +(7.03298 + 9.20281i) q^{42} +(-7.47011 - 5.95722i) q^{43} +(3.74007 - 5.79048i) q^{44} +(-3.02838 - 6.28850i) q^{45} +(-2.18702 + 2.41674i) q^{46} +(0.522430 + 2.28891i) q^{47} +(-9.87061 + 7.47599i) q^{48} +(-4.80503 - 5.09035i) q^{49} +(-5.40919 + 0.884342i) q^{50} +(-15.6900 + 3.58114i) q^{51} +(3.87449 - 5.99858i) q^{52} +(12.8597 - 6.19291i) q^{53} +(11.6286 + 10.5233i) q^{54} +(2.27865 - 2.85733i) q^{55} +(5.46396 - 5.11323i) q^{56} +(1.77646 + 2.22761i) q^{57} +(-0.246786 + 3.95329i) q^{58} +(-3.73443 + 4.68283i) q^{59} +(-5.60171 + 3.42296i) q^{60} +(-4.92081 + 10.2182i) q^{61} +(1.53503 + 3.77234i) q^{62} +(-14.0567 - 10.2815i) q^{63} +(5.44098 + 5.86479i) q^{64} +(2.36054 - 2.96002i) q^{65} +(-4.26755 + 14.4726i) q^{66} +15.8711i q^{67} +(3.31134 + 9.85644i) q^{68} +(3.09553 - 6.42793i) q^{69} +(3.15233 - 2.40907i) q^{70} +(4.49015 + 9.32390i) q^{71} +(11.0563 - 14.9796i) q^{72} +(-7.96446 - 1.81784i) q^{73} +(0.542062 - 8.68335i) q^{74} +(10.8092 - 5.20544i) q^{75} +(1.31783 - 1.28532i) q^{76} +(1.65690 - 8.96721i) q^{77} +(-4.42092 + 14.9927i) q^{78} +4.85512i q^{79} +(2.56082 + 3.38107i) q^{80} +(-13.1374 - 6.32664i) q^{81} +(-5.39771 - 3.02736i) q^{82} +(1.81993 - 7.97363i) q^{83} +(-8.30615 + 14.1180i) q^{84} +(1.22668 + 5.37444i) q^{85} +(3.82169 - 12.9606i) q^{86} +(-1.92929 - 8.45278i) q^{87} +(9.57861 + 1.81271i) q^{88} +(-12.8437 - 2.93149i) q^{89} +(6.62321 - 7.31887i) q^{90} +(1.71645 - 9.28948i) q^{91} +(-4.33147 - 1.57664i) q^{92} +(-5.55821 - 6.96978i) q^{93} +(-2.71982 + 1.90439i) q^{94} +(0.763044 - 0.608507i) q^{95} +(-15.0542 - 8.94478i) q^{96} +4.99478i q^{97} +(4.10673 - 9.00748i) q^{98} -22.6875i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$156 q - 5 q^{2} - 5 q^{4} - 14 q^{5} - 7 q^{6} - 11 q^{8} - 32 q^{9} - 7 q^{10} - 42 q^{12} - 14 q^{13} + 21 q^{14} - 13 q^{16} - 14 q^{17} - 12 q^{18} - 7 q^{20} - 14 q^{21} + 3 q^{22} + 35 q^{24} - 7 q^{26}+ \cdots + 105 q^{98}+O(q^{100})$ 156 * q - 5 * q^2 - 5 * q^4 - 14 * q^5 - 7 * q^6 - 11 * q^8 - 32 * q^9 - 7 * q^10 - 42 * q^12 - 14 * q^13 + 21 * q^14 - 13 * q^16 - 14 * q^17 - 12 * q^18 - 7 * q^20 - 14 * q^21 + 3 * q^22 + 35 * q^24 - 7 * q^26 + 42 * q^28 - 30 * q^29 - 4 * q^30 - 5 * q^32 - 14 * q^33 + 77 * q^34 - 11 * q^36 + 10 * q^37 - 21 * q^38 - 63 * q^40 - 14 * q^41 - 7 * q^42 - 55 * q^44 - 14 * q^45 - 19 * q^46 - 132 * q^50 - 7 * q^52 - 2 * q^53 + 14 * q^54 - 70 * q^56 - 64 * q^57 - 3 * q^58 - 107 * q^60 + 14 * q^61 - 21 * q^62 - 11 * q^64 - 22 * q^65 + 161 * q^66 - 70 * q^69 - 77 * q^70 + 114 * q^72 - 14 * q^73 + 5 * q^74 + 70 * q^76 - 42 * q^77 + 61 * q^78 + 92 * q^81 - 42 * q^82 + 70 * q^84 - 6 * q^85 + 47 * q^86 + 65 * q^88 - 14 * q^89 + 112 * q^90 - 70 * q^92 - 48 * q^93 - 28 * q^94 + 238 * q^96 + 105 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$ .

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{11}{14}\right)$

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

)

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

$2$	0.533027	+	1.30992i	0.376907	+	0.926251i
$2$	0.533027	+	1.30992i	0.376907	+	0.926251i
$3$	−1.93005	−	2.42020i	−1.11431	−	1.39730i	−0.908078	−	0.418802i	$-0.862450\pi$
$3$	−1.93005	−	2.42020i	−1.11431	−	1.39730i	−0.206236	−	0.978502i	$-0.566121\pi$
$4$	−1.43177	+	1.39644i	−0.715883	+	0.698221i
$5$	−0.829015	+	0.661117i	−0.370747	+	0.295661i	−0.791084	−	0.611707i	$-0.790483\pi$
$5$	−0.829015	+	0.661117i	−0.370747	+	0.295661i	0.420338	+	0.907368i	$0.361912\pi$
$6$	2.14150	−	3.81823i	0.874263	−	1.55879i
$7$	−1.04761	+	2.42951i	−0.395959	+	0.918268i
$7$	−1.04761	+	2.42951i	−0.395959	+	0.918268i
$8$	−2.59239	−	1.13115i	−0.916549	−	0.399923i
$9$	−1.46474	+	6.41743i	−0.488245	+	2.13914i
$10$	−1.30790	−	0.733548i	−0.413593	−	0.231968i
$11$	−3.36024	+	0.766954i	−1.01315	+	0.231245i	−0.696699	−	0.717363i	$-0.745349\pi$
$11$	−3.36024	+	0.766954i	−1.01315	+	0.231245i	−0.316452	+	0.948608i	$0.602492\pi$
$12$	6.14304	+	0.769965i	1.77334	+	0.222270i
$13$	−3.48101	+	0.794517i	−0.965457	+	0.220359i	−0.676057	−	0.736849i	$-0.736313\pi$
$13$	−3.48101	+	0.794517i	−0.965457	+	0.220359i	−0.289400	+	0.957208i	$0.593456\pi$
$14$	−3.74086	−	0.0772887i	−0.999787	−	0.0206563i
$15$	3.20008	+	0.730396i	0.826256	+	0.188588i
$16$	0.0999047	−	3.99875i	0.0249762	−	0.999688i
$17$	2.25572	−	4.68405i	0.547092	−	1.13605i	−0.425806	−	0.904815i	$-0.640009\pi$
$17$	2.25572	−	4.68405i	0.547092	−	1.13605i	0.972898	−	0.231235i	$-0.0742765\pi$
$18$	−9.18704	+	1.50198i	−2.16541	+	0.354019i
$19$	−0.920422			−0.211159			−0.105580	−	0.994411i	$-0.533670\pi$
$19$	−0.920422			−0.211159			−0.105580	+	0.994411i	$0.533670\pi$
$20$	0.263744	−	2.10424i	0.0589748	−	0.470521i
$21$	7.90184	−	2.15364i	1.72432	−	0.469963i
$22$	−2.79574	−	3.99283i	−0.596055	−	0.851275i
$23$	0.999991	+	2.07650i	0.208513	+	0.432981i	0.978829	−	0.204681i	$-0.0656159\pi$
$23$	0.999991	+	2.07650i	0.208513	+	0.432981i	−0.770316	+	0.637662i	$0.779902\pi$
$24$	2.26582	+	8.45729i	0.462508	+	1.72634i
$25$	−0.862415	+	3.77849i	−0.172483	+	0.755697i
$26$	−2.89622	−	4.13633i	−0.567995	−	0.811201i
$27$	9.99148	−	4.81164i	1.92286	−	0.926001i
$28$	−1.89274	−	4.94141i	−0.357693	−	0.933839i
$29$	2.52347	+	1.21524i	0.468597	+	0.225664i	0.653254	−	0.757139i	$-0.273403\pi$
$29$	2.52347	+	1.21524i	0.468597	+	0.225664i	−0.184658	+	0.982803i	$0.559118\pi$
$30$	0.748967	+	4.58115i	0.136742	+	0.836401i
$31$	2.87983			0.517233			0.258617	−	0.965980i	$-0.416733\pi$
$31$	2.87983			0.517233			0.258617	+	0.965980i	$0.416733\pi$
$32$	5.29129	−	2.00057i	0.935376	−	0.353655i
$33$	8.34161	+	6.65221i	1.45209	+	1.15800i
$34$	7.33808	+	0.458083i	1.25847	+	0.0785606i
$35$	−0.737707	−	2.70669i	−0.124695	−	0.457514i
$36$	−6.86440	−	11.2337i	−1.14407	−	1.87228i
$37$	−5.54276	−	2.66925i	−0.911225	−	0.438823i	−0.0812947	−	0.996690i	$-0.525906\pi$
$37$	−5.54276	−	2.66925i	−0.911225	−	0.438823i	−0.829930	+	0.557867i	$0.811620\pi$
$38$	−0.490610	−	1.20568i	−0.0795874	−	0.195587i
$39$	8.64140	+	6.89128i	1.38373	+	1.10349i
$40$	2.89696	−	0.776131i	0.458049	−	0.122717i
$41$	−3.42136	+	2.72844i	−0.534327	+	0.426111i	−0.853121	−	0.521713i	$-0.825293\pi$
$41$	−3.42136	+	2.72844i	−0.534327	+	0.426111i	0.318795	+	0.947824i	$0.396722\pi$
$42$	7.03298	+	9.20281i	1.08521	+	1.42002i
$43$	−7.47011	−	5.95722i	−1.13918	−	0.908467i	−0.142494	−	0.989796i	$-0.545512\pi$
$43$	−7.47011	−	5.95722i	−1.13918	−	0.908467i	−0.996687	+	0.0813289i	$0.974084\pi$
$44$	3.74007	−	5.79048i	0.563837	−	0.872948i
$45$	−3.02838	−	6.28850i	−0.451445	−	0.937435i
$46$	−2.18702	+	2.41674i	−0.322459	+	0.356328i
$47$	0.522430	+	2.28891i	0.0762042	+	0.333873i	0.998632	−	0.0522983i	$-0.0166547\pi$
$47$	0.522430	+	2.28891i	0.0762042	+	0.333873i	−0.922427	+	0.386171i	$0.873798\pi$
$48$	−9.87061	+	7.47599i	−1.42470	+	1.07907i
$49$	−4.80503	−	5.09035i	−0.686433	−	0.727193i
$50$	−5.40919	+	0.884342i	−0.764976	+	0.125065i
$51$	−15.6900	+	3.58114i	−2.19704	+	0.501460i
$52$	3.87449	−	5.99858i	0.537295	−	0.831853i
$53$	12.8597	−	6.19291i	1.76642	−	0.850662i	0.797485	−	0.603338i	$-0.206163\pi$
$53$	12.8597	−	6.19291i	1.76642	−	0.850662i	0.968933	−	0.247324i	$-0.0795512\pi$
$54$	11.6286	+	10.5233i	1.58245	+	1.43204i
$55$	2.27865	−	2.85733i	0.307253	−	0.385282i
$56$	5.46396	−	5.11323i	0.730153	−	0.683284i
$57$	1.77646	+	2.22761i	0.235298	+	0.295054i
$58$	−0.246786	+	3.95329i	−0.0324046	+	0.519093i
$59$	−3.73443	+	4.68283i	−0.486182	+	0.609653i	−0.963050	−	0.269322i	$-0.913200\pi$
$59$	−3.73443	+	4.68283i	−0.486182	+	0.609653i	0.476868	+	0.878975i	$0.341772\pi$
$60$	−5.60171	+	3.42296i	−0.723178	+	0.441902i
$61$	−4.92081	+	10.2182i	−0.630045	+	1.30830i	0.304519	+	0.952506i	$0.401504\pi$
$61$	−4.92081	+	10.2182i	−0.630045	+	1.30830i	−0.934564	+	0.355795i	$0.884210\pi$
$62$	1.53503	+	3.77234i	0.194949	+	0.479088i
$63$	−14.0567	−	10.2815i	−1.77098	−	1.29535i
$64$	5.44098	+	5.86479i	0.680123	+	0.733098i
$65$	2.36054	−	2.96002i	0.292789	−	0.367145i
$66$	−4.26755	+	14.4726i	−0.525299	+	1.78146i
$67$			15.8711i			1.93897i	0.245153	+	0.969484i	$0.421162\pi$
$67$			15.8711i			1.93897i	−0.245153	+	0.969484i	$0.578838\pi$
$68$	3.31134	+	9.85644i	0.401559	+	1.19527i
$69$	3.09553	−	6.42793i	0.372658	−	0.773832i
$70$	3.15233	−	2.40907i	0.376775	−	0.287939i
$71$	4.49015	+	9.32390i	0.532883	+	1.10654i	0.977522	+	0.210834i	$0.0676178\pi$
$71$	4.49015	+	9.32390i	0.532883	+	1.10654i	−0.444639	+	0.895710i	$0.646668\pi$
$72$	11.0563	−	14.9796i	1.30299	−	1.76537i
$73$	−7.96446	−	1.81784i	−0.932169	−	0.212762i	−0.270640	−	0.962681i	$-0.587235\pi$
$73$	−7.96446	−	1.81784i	−0.932169	−	0.212762i	−0.661530	+	0.749919i	$0.730092\pi$
$74$	0.542062	−	8.68335i	0.0630134	−	1.00942i
$75$	10.8092	−	5.20544i	1.24814	−	0.601072i
$76$	1.31783	−	1.28532i	0.151165	−	0.147436i
$77$	1.65690	−	8.96721i	0.188821	−	1.02191i
$78$	−4.42092	+	14.9927i	−0.500570	+	1.69759i
$79$			4.85512i			0.546244i	0.961979	+	0.273122i	$0.0880563\pi$
$79$			4.85512i			0.546244i	−0.961979	+	0.273122i	$0.911944\pi$
$80$	2.56082	+	3.38107i	0.286309	+	0.378016i
$81$	−13.1374	−	6.32664i	−1.45971	−	0.702960i
$82$	−5.39771	−	3.02736i	−0.596077	−	0.334316i
$83$	1.81993	−	7.97363i	0.199763	−	0.875220i	−0.771314	−	0.636455i	$-0.780400\pi$
$83$	1.81993	−	7.97363i	0.199763	−	0.875220i	0.971077	−	0.238765i	$-0.0767426\pi$
$84$	−8.30615	+	14.1180i	−0.906275	+	1.54040i
$85$	1.22668	+	5.37444i	0.133052	+	0.582940i
$86$	3.82169	−	12.9606i	0.412103	−	1.39758i
$87$	−1.92929	−	8.45278i	−0.206842	−	0.906233i
$88$	9.57861	+	1.81271i	1.02108	+	0.193235i
$89$	−12.8437	−	2.93149i	−1.36143	−	0.310737i	−0.521415	−	0.853303i	$-0.674595\pi$
$89$	−12.8437	−	2.93149i	−1.36143	−	0.310737i	−0.840013	+	0.542567i	$0.817453\pi$
$90$	6.62321	−	7.31887i	0.698148	−	0.771477i
$91$	1.71645	−	9.28948i	0.179933	−	0.973802i
$92$	−4.33147	−	1.57664i	−0.451587	−	0.164376i
$93$	−5.55821	−	6.96978i	−0.576360	−	0.722732i
$94$	−2.71982	+	1.90439i	−0.280528	+	0.196423i
$95$	0.763044	−	0.608507i	0.0782867	−	0.0624315i
$96$	−15.0542	−	8.94478i	−1.53647	−	0.912923i
$97$			4.99478i			0.507143i	0.967317	+	0.253571i	$0.0816053\pi$
$97$			4.99478i			0.507143i	−0.967317	+	0.253571i	$0.918395\pi$
$98$	4.10673	−	9.00748i	0.414843	−	0.909893i
$99$		−	22.6875i		−	2.28018i
$100$	−4.04166	−	6.61422i	−0.404166	−	0.661422i
$101$	−0.0112677	+	0.00898572i	−0.00112118	+	0.000894113i	−0.624050	−	0.781384i	$-0.714514\pi$
$101$	−0.0112677	+	0.00898572i	−0.00112118	+	0.000894113i	0.622929	+	0.782278i	$0.285943\pi$
$102$	−13.0542	−	18.6438i	−1.29256	−	1.84601i
$103$	−7.02355	−	8.80725i	−0.692051	−	0.867804i	0.304351	−	0.952560i	$-0.401560\pi$
$103$	−7.02355	−	8.80725i	−0.692051	−	0.867804i	−0.996402	+	0.0847558i	$0.972989\pi$
$104$	9.92285	+	1.87785i	0.973015	+	0.184139i
$105$	−5.12693	+	7.00944i	−0.500338	+	0.684052i
$106$	14.9668	+	13.5442i	1.45370	+	1.31553i
$107$	6.27894	+	1.43313i	0.607008	+	0.138546i	0.514967	−	0.857210i	$-0.327804\pi$
$107$	6.27894	+	1.43313i	0.607008	+	0.138546i	0.0920402	+	0.995755i	$0.470661\pi$
$108$	−7.58628	+	20.8417i	−0.729990	+	2.00549i
$109$	2.03330	+	8.90847i	0.194755	+	0.853277i	0.973998	+	0.226555i	$0.0727464\pi$
$109$	2.03330	+	8.90847i	0.194755	+	0.853277i	−0.779243	+	0.626721i	$0.784396\pi$
$110$	4.95745	+	1.46180i	0.472674	+	0.139377i
$111$	4.23766	+	18.5664i	0.402221	+	1.76224i
$112$	9.61034	+	4.43185i	0.908092	+	0.418770i
$113$	0.670690	−	2.93849i	0.0630932	−	0.276429i	−0.933534	−	0.358488i	$-0.883292\pi$
$113$	0.670690	−	2.93849i	0.0630932	−	0.276429i	0.996627	+	0.0820587i	$0.0261495\pi$
$114$	−1.97108	+	3.51439i	−0.184609	+	0.329153i
$115$	−2.20182	−	1.06034i	−0.205321	−	0.0988773i
$116$	−5.31003	+	1.78394i	−0.493024	+	0.165635i
$117$		−	23.5028i		−	2.17284i
$118$	−8.12467	−	2.39572i	−0.747937	−	0.220544i
$119$	9.01683	+	10.3873i	0.826572	+	0.952207i
$120$	−7.46966	−	5.51325i	−0.681883	−	0.503289i
$121$	0.792359	−	0.381580i	0.0720326	−	0.0346891i
$122$	−16.0079	−	0.999298i	−1.44928	−	0.0904722i
$123$	13.2068	+	3.01436i	1.19081	+	0.271796i
$124$	−4.12324	+	4.02152i	−0.370278	+	0.361143i
$125$	−4.08341	−	8.47929i	−0.365231	−	0.758411i
$126$	5.97536	−	23.8935i	0.532328	−	2.12860i
$127$	2.18839	−	4.54423i	0.194188	−	0.403235i	−0.781026	−	0.624498i	$-0.785304\pi$
$127$	2.18839	−	4.54423i	0.194188	−	0.403235i	0.975214	+	0.221263i	$0.0710179\pi$
$128$	−4.78220	+	10.2533i	−0.422690	+	0.906274i
$129$			29.5769i			2.60410i
$130$	5.13561	+	1.51434i	0.450423	+	0.132816i
$131$	−0.903733	+	1.13325i	−0.0789595	+	0.0990121i	−0.819742	−	0.572733i	$-0.805883\pi$
$131$	−0.903733	+	1.13325i	−0.0789595	+	0.0990121i	0.740783	+	0.671745i	$0.234455\pi$
$132$	−21.2327	+	2.12416i	−1.84807	+	0.184884i
$133$	0.964243	−	2.23617i	0.0836105	−	0.193901i
$134$	−20.7899	+	8.45974i	−1.79597	+	0.730810i
$135$	−5.10203	+	10.5945i	−0.439112	+	0.911826i
$136$	−11.1461	+	9.59132i	−0.955769	+	0.822449i
$137$	1.16523	−	1.46116i	0.0995525	−	0.124835i	−0.729560	−	0.683917i	$-0.760275\pi$
$137$	1.16523	−	1.46116i	0.0995525	−	0.124835i	0.829112	+	0.559082i	$0.188846\pi$
$138$	10.0701	+	0.628628i	0.857220	+	0.0535123i
$139$	13.8768	+	17.4010i	1.17702	+	1.47593i	0.846706	+	0.532062i	$0.178583\pi$
$139$	13.8768	+	17.4010i	1.17702	+	1.47593i	0.330312	+	0.943872i	$0.392846\pi$
$140$	4.83596	+	2.84518i	0.408713	+	0.240462i
$141$	4.53132	−	5.68210i	0.381606	−	0.478519i
$142$	−9.82017	+	10.8516i	−0.824090	+	0.910648i
$143$	11.0877	−	5.33954i	0.927197	−	0.446515i
$144$	25.5154	+	6.49824i	2.12628	+	0.541520i
$145$	−2.89541	+	0.660858i	−0.240451	+	0.0548813i
$146$	−1.86405	−	11.4017i	−0.154270	−	0.943614i
$147$	−3.04575	+	21.4538i	−0.251210	+	1.76948i
$148$	11.6634	−	3.91840i	0.958725	−	0.322090i
$149$	−1.32222	−	5.79302i	−0.108320	−	0.474582i	−0.999770	−	0.0214620i	$-0.993168\pi$
$149$	−1.32222	−	5.79302i	−0.108320	−	0.474582i	0.891449	−	0.453120i	$-0.149689\pi$
$150$	12.5803	+	11.3845i	1.02718	+	0.929543i
$151$	−1.39238	−	2.89130i	−0.113310	−	0.235291i	0.836600	−	0.547814i	$-0.184540\pi$
$151$	−1.39238	−	2.89130i	−0.113310	−	0.235291i	−0.949910	+	0.312524i	$0.898826\pi$
$152$	2.38609	+	1.04114i	0.193538	+	0.0844476i
$153$	26.7555	+	21.3368i	2.16306	+	1.72498i
$154$	12.6295	−	2.60936i	1.01771	−	0.210268i
$155$	−2.38742	+	1.90391i	−0.191762	+	0.152925i
$156$	−21.9957	+	2.20050i	−1.76107	+	0.176181i
$157$	7.29209	+	5.81525i	0.581972	+	0.464107i	0.869683	−	0.493610i	$-0.164323\pi$
$157$	7.29209	+	5.81525i	0.581972	+	0.464107i	−0.287711	+	0.957717i	$0.592894\pi$
$158$	−6.35981	+	2.58791i	−0.505959	+	0.205883i
$159$	−39.8080	−	19.1705i	−3.15698	−	1.52032i
$160$	−3.06394	+	5.15667i	−0.242226	+	0.407670i
$161$	−6.09248	+	0.254123i	−0.480155	+	0.0200277i
$162$	1.28479	−	20.5812i	0.100943	−	1.61701i
$163$	−8.38336	−	6.68551i	−0.656635	−	0.523649i	0.237533	−	0.971379i	$-0.423661\pi$
$163$	−8.38336	−	6.68551i	−0.656635	−	0.523649i	−0.894169	+	0.447730i	$0.852233\pi$
$164$	1.08847	−	8.68422i	0.0849956	−	0.678123i
$165$	−11.3132			−0.880732
$166$	11.4149	−	1.86620i	0.885966	−	0.144845i
$167$	−11.0219	−	5.30789i	−0.852903	−	0.410737i	−0.0442489	−	0.999021i	$-0.514089\pi$
$167$	−11.0219	−	5.30789i	−0.852903	−	0.410737i	−0.808654	+	0.588284i	$0.799804\pi$
$168$	−22.9208	−	3.35512i	−1.76837	−	0.258853i
$169$	−0.226452	+	0.109054i	−0.0174194	+	0.00838875i
$170$	−6.38622	+	4.47157i	−0.489801	+	0.342954i
$171$	1.34818	−	5.90674i	0.103098	−	0.451700i
$172$	19.0143	−	1.90224i	1.44983	−	0.145044i
$173$	5.53595	+	11.4955i	0.420890	+	0.873987i	0.998342	+	0.0575626i	$0.0183329\pi$
$173$	5.53595	+	11.4955i	0.420890	+	0.873987i	−0.577452	+	0.816425i	$0.695953\pi$
$174$	10.0441	−	7.03277i	0.761439	−	0.533153i
$175$	−8.27639	−	6.05362i	−0.625637	−	0.457611i
$176$	2.73115	+	13.5134i	0.205868	+	1.01861i
$177$	18.5410			1.39363
$178$	−3.00602	−	18.3867i	−0.225311	−	1.37814i
$179$	4.39119	−	9.11840i	0.328213	−	0.681541i	−0.669932	−	0.742422i	$-0.733677\pi$
$179$	4.39119	−	9.11840i	0.328213	−	0.681541i	0.998145	+	0.0608813i	$0.0193911\pi$
$180$	13.1175	+	4.77470i	0.977718	+	0.355885i
$181$	−14.2463	−	3.25162i	−1.05892	−	0.241691i	−0.342611	−	0.939478i	$-0.611311\pi$
$181$	−14.2463	−	3.25162i	−1.05892	−	0.241691i	−0.716305	+	0.697787i	$0.754168\pi$
$182$	13.0834	−	2.70313i	0.969803	−	0.200370i
$183$	34.2274	−	7.81218i	2.53016	−	0.577493i
$184$	−0.243524	−	6.51425i	−0.0179528	−	0.480237i
$185$	6.35973	−	1.45157i	0.467576	−	0.106721i
$186$	6.16715	−	10.9959i	0.452198	−	0.806256i
$187$	−3.98732	+	17.4696i	−0.291582	+	1.27750i
$188$	−3.94433	−	2.54765i	−0.287670	−	0.185806i
$189$	1.22276	+	29.3151i	0.0889428	+	2.13236i
$190$	1.20382	+	0.675174i	0.0873340	+	0.0489823i
$191$	3.93413	−	3.13737i	0.284664	−	0.227012i	−0.470739	−	0.882273i	$-0.656013\pi$
$191$	3.93413	−	3.13737i	0.284664	−	0.227012i	0.755403	+	0.655261i	$0.227441\pi$
$192$	3.69262	−	24.4876i	0.266492	−	1.76724i
$193$	2.56086	+	3.21121i	0.184334	+	0.231148i	0.865409	−	0.501066i	$-0.167059\pi$
$193$	2.56086	+	3.21121i	0.184334	+	0.231148i	−0.681075	+	0.732214i	$0.738487\pi$
$194$	−6.54275	+	2.66235i	−0.469742	+	0.191146i
$195$	−11.7198			−0.839272
$196$	13.9881	+	0.578253i	0.999147	+	0.0413038i
$197$	−5.85623			−0.417239			−0.208620	−	0.977997i	$-0.566897\pi$
$197$	−5.85623			−0.417239			−0.208620	+	0.977997i	$0.566897\pi$
$198$	29.7187	−	12.0930i	2.11202	−	0.859415i
$199$	−1.38625	−	1.73830i	−0.0982683	−	0.123225i	0.730266	−	0.683163i	$-0.239396\pi$
$199$	−1.38625	−	1.73830i	−0.0982683	−	0.123225i	−0.828534	+	0.559938i	$0.810825\pi$
$200$	6.50977	−	8.81979i	0.460310	−	0.623653i
$201$	38.4114	−	30.6320i	2.70933	−	2.16062i
$202$	−0.0177766	−	0.00997018i	−0.00125075	−	0.000701499i
$203$	−5.59605	+	4.85770i	−0.392765	+	0.340944i
$204$	17.4635	−	27.0375i	1.22269	−	1.89300i
$205$	1.03254	−	4.52384i	0.0721155	−	0.315959i
$206$	7.79303	−	13.8948i	0.542966	−	0.968094i
$207$	−14.7905	+	3.37584i	−1.02801	+	0.234637i
$208$	2.82931	+	13.9991i	0.196177	+	0.970660i
$209$	3.09284	−	0.705921i	0.213936	−	0.0488296i
$210$	−11.9146	−	2.97964i	−0.822184	−	0.205615i
$211$	1.38619	+	0.316389i	0.0954293	+	0.0217811i	0.269969	−	0.962869i	$-0.412987\pi$
$211$	1.38619	+	0.316389i	0.0954293	+	0.0217811i	−0.174540	+	0.984650i	$0.555844\pi$
$212$	−9.76406	+	26.8246i	−0.670598	+	1.84232i
$213$	13.8995	−	28.8627i	0.952379	−	1.97764i
$214$	1.46956	+	8.98878i	0.100457	+	0.614460i
$215$	10.1313			0.690946
$216$	−31.3445	+	1.17176i	−2.13273	+	0.0797281i
$217$	−3.01694	+	6.99658i	−0.204803	+	0.474959i
$218$	−10.5856	+	7.41191i	−0.716944	+	0.501998i
$219$	10.9723	+	22.7841i	0.741436	+	1.53961i
$220$	0.727609	+	7.27302i	0.0490554	+	0.490347i
$221$	−4.13062	+	18.0974i	−0.277855	+	1.21736i
$222$	−22.0617	+	15.4474i	−1.48068	+	1.03676i
$223$	12.0923	−	5.82334i	0.809760	−	0.389960i	0.0172745	−	0.999851i	$-0.494501\pi$
$223$	12.0923	−	5.82334i	0.809760	−	0.389960i	0.792485	+	0.609891i	$0.208787\pi$
$224$	−0.682788	+	14.9510i	−0.0456207	+	0.998959i
$225$	−22.9849	−	11.0690i	−1.53233	−	0.737931i
$226$	4.20667	−	0.687742i	0.279823	−	0.0457479i
$227$	−16.2381			−1.07776			−0.538881	−	0.842382i	$-0.681153\pi$
$227$	−16.2381			−1.07776			−0.538881	+	0.842382i	$0.681153\pi$
$228$	−5.65420	−	0.708693i	−0.374458	−	0.0469344i
$229$	−7.25466	−	5.78540i	−0.479401	−	0.382310i	0.353763	−	0.935335i	$-0.384902\pi$
$229$	−7.25466	−	5.78540i	−0.479401	−	0.382310i	−0.833165	+	0.553025i	$0.813473\pi$
$230$	0.215330	−	3.44939i	0.0141984	−	0.227446i
$231$	−24.9004	+	13.2971i	−1.63832	+	0.874885i
$232$	−5.16720	−	6.00481i	−0.339243	−	0.394235i
$233$	17.6373	+	8.49368i	1.15546	+	0.556440i	0.910669	−	0.413137i	$-0.135567\pi$
$233$	17.6373	+	8.49368i	1.15546	+	0.556440i	0.244790	+	0.969576i	$0.421281\pi$
$234$	30.7868	−	12.5276i	2.01260	−	0.818958i
$235$	−1.94634	−	1.55216i	−0.126965	−	0.101252i
$236$	−1.19247	−	11.9196i	−0.0776229	−	0.775902i
$237$	11.7504	−	9.37062i	0.763269	−	0.608687i
$238$	−8.80036	+	17.3480i	−0.570442	+	1.12451i
$239$	−14.2376	−	11.3541i	−0.920956	−	0.734438i	0.0433969	−	0.999058i	$-0.486182\pi$
$239$	−14.2376	−	11.3541i	−0.920956	−	0.734438i	−0.964353	+	0.264620i	$0.914753\pi$
$240$	3.24038	−	12.7233i	0.209165	−	0.821288i
$241$	3.57349	+	7.42042i	0.230188	+	0.477991i	0.983786	−	0.179344i	$-0.0573977\pi$
$241$	3.57349	+	7.42042i	0.230188	+	0.477991i	−0.753598	+	0.657336i	$0.771683\pi$
$242$	0.922186	+	0.834532i	0.0592804	+	0.0536458i
$243$	2.64098	+	11.5709i	0.169419	+	0.742272i
$244$	−7.22362	−	21.5016i	−0.462445	−	1.37650i
$245$	7.34876	+	1.04329i	0.469495	+	0.0666534i
$246$	3.09100	+	18.9065i	0.197075	+	1.20543i
$247$	3.20400	−	0.731291i	0.203865	−	0.0465309i
$248$	−7.46565	−	3.25753i	−0.474069	−	0.206854i
$249$	−22.8104	+	10.9849i	−1.44555	+	0.696139i
$250$	8.93060	−	9.86862i	0.564821	−	0.624146i
$251$	3.89601	−	4.88545i	0.245914	−	0.308367i	−0.643521	−	0.765429i	$-0.722527\pi$
$251$	3.89601	−	4.88545i	0.245914	−	0.308367i	0.889435	+	0.457062i	$0.151098\pi$
$252$	34.4835	−	4.90863i	2.17226	−	0.309214i
$253$	−4.95279	−	6.21061i	−0.311380	−	0.390458i
$254$	7.11903	+	0.444409i	0.446688	+	0.0278847i
$255$	10.6397	−	13.3417i	0.666283	−	0.835493i
$256$	−15.9800	−	0.798988i	−0.998752	−	0.0499368i
$257$	−3.79553	+	7.88149i	−0.236758	+	0.491634i	−0.985166	−	0.171605i	$-0.945105\pi$
$257$	−3.79553	+	7.88149i	−0.236758	+	0.491634i	0.748407	+	0.663239i	$0.230819\pi$
$258$	−38.7433	+	15.7653i	−2.41205	+	0.981503i
$259$	12.2916	−	10.6699i	0.763765	−	0.662993i
$260$	0.753758	+	7.53440i	0.0467461	+	0.467264i
$261$	−11.4949	+	14.4142i	−0.711518	+	0.892215i
$262$	−1.96617	−	0.579766i	−0.121470	−	0.0358180i
$263$		−	1.60675i		−	0.0990763i	−0.998772	−	0.0495381i	$-0.984225\pi$
$263$		−	1.60675i		−	0.0990763i	0.998772	−	0.0495381i	$-0.0157749\pi$
$264$	−14.1000	−	26.6808i	−0.867797	−	1.64209i
$265$	−6.56666	+	13.6358i	−0.403386	+	0.837641i
$266$	3.44317	+	0.0711383i	0.211114	+	0.00436177i
$267$	17.6941	+	36.7422i	1.08286	+	2.24859i
$268$	−22.1631	−	22.7238i	−1.35383	−	1.38807i
$269$	20.8545	+	4.75990i	1.27152	+	0.290216i	0.804459	−	0.594008i	$-0.202455\pi$
$269$	20.8545	+	4.75990i	1.27152	+	0.290216i	0.467062	+	0.884225i	$0.345313\pi$
$270$	−16.5974	−	1.03610i	−1.01008	−	0.0630550i
$271$	15.7575	−	7.58840i	0.957199	−	0.460963i	0.110994	−	0.993821i	$-0.464596\pi$
$271$	15.7575	−	7.58840i	0.957199	−	0.460963i	0.846204	+	0.532858i	$0.178882\pi$
$272$	−18.5050	−	9.48802i	−1.12203	−	0.575296i
$273$	−25.7952	+	13.7750i	−1.56120	+	0.833699i
$274$	2.53509	+	0.747523i	0.153151	+	0.0451595i
$275$		−	13.3581i		−	0.805522i
$276$	4.54415	+	13.5260i	0.273526	+	0.814170i
$277$	−0.392847	−	0.189185i	−0.0236039	−	0.0113670i	0.422045	−	0.906575i	$-0.361313\pi$
$277$	−0.392847	−	0.189185i	−0.0236039	−	0.0113670i	−0.445648	+	0.895208i	$0.647027\pi$
$278$	−15.3971	+	27.4527i	−0.923459	+	1.64650i
$279$	−4.21819	+	18.4811i	−0.252537	+	1.10643i
$280$	−1.14926	+	7.85126i	−0.0686815	+	0.469203i
$281$	−1.33463	−	5.84739i	−0.0796173	−	0.348826i	0.919391	−	0.393344i	$-0.128682\pi$
$281$	−1.33463	−	5.84739i	−0.0796173	−	0.348826i	−0.999009	+	0.0445180i	$0.985825\pi$
$282$	9.85839	+	2.90695i	0.587059	+	0.173106i
$283$	0.665539	+	2.91592i	0.0395622	+	0.173333i	0.990849	−	0.134973i	$-0.0430949\pi$
$283$	0.665539	+	2.91592i	0.0395622	+	0.173333i	−0.951287	+	0.308307i	$0.900238\pi$
$284$	−19.4491	−	7.07940i	−1.15409	−	0.420085i
$285$	−2.94542	−	0.672273i	−0.174472	−	0.0398220i
$286$	12.9044	+	11.6778i	0.763052	+	0.690523i
$287$	−3.04453	−	11.1706i	−0.179713	−	0.659378i
$288$	5.08820	+	36.8867i	0.299825	+	2.17357i
$289$	−6.25273	−	7.84068i	−0.367808	−	0.461216i
$290$	−2.40900	−	3.44049i	−0.141461	−	0.202033i
$291$	12.0884	−	9.64016i	0.708633	−	0.565116i
$292$	13.9417	−	8.51918i	0.815879	−	0.498548i
$293$		−	0.159462i		−	0.00931590i	−0.999989	−	0.00465795i	$-0.998517\pi$
$293$		−	0.159462i		−	0.00931590i	0.999989	−	0.00465795i	$-0.00148268\pi$
$294$	−29.7261	+	7.44574i	−1.73366	+	0.434244i
$295$		−	6.35104i		−	0.369772i
$296$	11.3497	+	13.1895i	0.659686	+	0.766622i
$297$	−29.8835	+	23.8313i	−1.73402	+	1.38283i
$298$	6.88359	−	4.81983i	0.398756	−	0.279205i
$299$	−5.13079	−	6.43381i	−0.296721	−	0.372077i
$300$	−8.20716	+	22.5474i	−0.473840	+	1.30177i
$301$	22.2989	−	11.9079i	1.28529	−	0.686358i
$302$	3.04519	−	3.36504i	0.175231	−	0.193636i
$303$	0.0434945	+	0.00992735i	0.00249870	+	0.000570311i
$304$	−0.0919545	+	3.68054i	−0.00527395	+	0.211094i
$305$	−2.67598	−	11.7242i	−0.153226	−	0.671328i
$306$	−13.6881	+	46.4206i	−0.782494	+	2.65369i
$307$	−3.09687	−	13.5683i	−0.176747	−	0.774381i	−0.983118	−	0.182971i	$-0.941429\pi$
$307$	−3.09687	−	13.5683i	−0.176747	−	0.774381i	0.806371	−	0.591410i	$-0.201429\pi$
$308$	10.1499	+	15.1527i	0.578343	+	0.863406i
$309$	−7.75955	+	33.9968i	−0.441425	+	1.93401i
$310$	−3.76652	−	2.11249i	−0.213924	−	0.119982i
$311$	15.8189	+	7.61799i	0.897009	+	0.431977i	0.824808	−	0.565413i	$-0.191283\pi$
$311$	15.8189	+	7.61799i	0.897009	+	0.431977i	0.0722012	+	0.997390i	$0.476998\pi$
$312$	−14.6068	−	27.6396i	−0.826946	−	1.56479i
$313$			13.0391i			0.737011i	0.929626	+	0.368506i	$0.120130\pi$
$313$			13.0391i			0.737011i	−0.929626	+	0.368506i	$0.879870\pi$
$314$	−3.73062	+	12.6517i	−0.210531	+	0.713978i
$315$	18.4505	−	0.769590i	1.03957	−	0.0433615i
$316$	−6.77989	−	6.95140i	−0.381399	−	0.391047i
$317$	−0.650505	+	0.313266i	−0.0365360	+	0.0175948i	−0.452063	−	0.891986i	$-0.649312\pi$
$317$	−0.650505	+	0.313266i	−0.0365360	+	0.0175948i	0.415527	+	0.909581i	$0.363597\pi$
$318$	3.89307	−	62.3635i	0.218313	−	3.49717i
$319$	−9.41151	−	2.14811i	−0.526943	−	0.120271i
$320$	−8.38797	−	1.26487i	−0.468902	−	0.0707083i
$321$	−8.65019	−	17.9623i	−0.482806	−	1.00256i
$322$	−3.58034	−	7.84519i	−0.199524	−	0.437195i
$323$	−2.07622	+	4.31131i	−0.115524	+	0.239887i
$324$	27.6444	−	9.28734i	1.53580	−	0.515963i
$325$		−	13.8381i		−	0.767602i
$326$	4.28890	−	14.5451i	0.237540	−	0.805576i
$327$	17.6359	−	22.1148i	0.975270	−	1.22295i
$328$	11.9558	−	3.20311i	0.660148	−	0.176862i
$329$	−6.10824	−	1.12864i	−0.336758	−	0.0622240i
$330$	−6.03024	−	14.8194i	−0.331954	−	0.815780i
$331$	−9.68900	+	20.1194i	−0.532555	+	1.10586i	0.445067	+	0.895497i	$0.353180\pi$
$331$	−9.68900	+	20.1194i	−0.532555	+	1.10586i	−0.977623	+	0.210366i	$0.932535\pi$
$332$	8.52900	+	13.9578i	0.468089	+	0.766034i
$333$	25.2484	−	31.6605i	1.38361	−	1.73499i
$334$	1.07790	−	17.2671i	0.0589803	−	0.944812i
$335$	−10.4927	−	13.1574i	−0.573277	−	0.718866i
$336$	−7.82244	−	31.8127i	−0.426749	−	1.73552i
$337$	15.6511	−	19.6259i	0.852571	−	1.06909i	−0.144260	−	0.989540i	$-0.546080\pi$
$337$	15.6511	−	19.6259i	0.852571	−	1.06909i	0.996831	−	0.0795505i	$-0.0253485\pi$
$338$	−0.263556	−	0.238505i	−0.0143356	−	0.0129730i
$339$	−8.40619	+	4.04821i	−0.456562	+	0.219869i
$340$	−9.26142	−	5.98195i	−0.502271	−	0.324417i
$341$	−9.67693	+	2.20870i	−0.524035	+	0.119608i
$342$	8.45596	−	1.38245i	0.457246	−	0.0747545i
$343$	17.4009	−	6.34116i	0.939558	−	0.342390i
$344$	12.6269	+	23.8933i	0.680798	+	1.28824i
$345$	1.68338	+	7.37536i	0.0906300	+	0.397076i
$346$	−12.1074	+	13.3790i	−0.650896	+	0.719262i
$347$	−9.65825	−	20.0556i	−0.518482	−	1.07664i	−0.981707	−	0.190398i	$-0.939022\pi$
$347$	−9.65825	−	20.0556i	−0.518482	−	1.07664i	0.463225	−	0.886241i	$-0.346692\pi$
$348$	14.5661	+	9.40825i	0.780825	+	0.504335i
$349$	−9.14252	−	7.29092i	−0.489388	−	0.390274i	0.347473	−	0.937690i	$-0.387040\pi$
$349$	−9.14252	−	7.29092i	−0.489388	−	0.390274i	−0.836860	+	0.547416i	$0.815611\pi$
$350$	3.51821	−	14.0681i	0.188056	−	0.751973i
$351$	−30.9575	+	24.6878i	−1.65239	+	1.31773i
$352$	−16.2457	+	10.7806i	−0.865897	+	0.574607i
$353$	−5.86784	−	4.67944i	−0.312313	−	0.249062i	0.454770	−	0.890609i	$-0.349721\pi$
$353$	−5.86784	−	4.67944i	−0.312313	−	0.249062i	−0.767084	+	0.641547i	$0.778293\pi$
$354$	9.88286	+	24.2872i	0.525268	+	1.29085i
$355$	−9.88660	−	4.76114i	−0.524726	−	0.252695i
$356$	22.4828	−	13.7382i	1.19159	−	0.728125i
$357$	7.73658	−	41.8706i	0.409463	−	2.21603i
$358$	14.2850	+	0.891746i	0.754984	+	0.0471302i
$359$	−14.2629	−	11.3743i	−0.752768	−	0.600313i	0.170101	−	0.985427i	$-0.445591\pi$
$359$	−14.2629	−	11.3743i	−0.752768	−	0.600313i	−0.922869	+	0.385114i	$0.874162\pi$
$360$	0.737489	+	19.7278i	0.0388691	+	1.03975i
$361$	−18.1528			−0.955412
$362$	−3.33429	−	20.3946i	−0.175246	−	1.07192i
$363$	−2.45279	−	1.18120i	−0.128738	−	0.0619970i
$364$	10.5147	+	15.6973i	0.551118	+	0.822761i
$365$	7.80446	−	3.75843i	0.408504	−	0.196725i
$366$	28.4774	+	40.6710i	1.48854	+	2.12591i
$367$	3.18695	−	13.9629i	0.166357	−	0.728859i	−0.821075	−	0.570820i	$-0.806626\pi$
$367$	3.18695	−	13.9629i	0.166357	−	0.728859i	0.987433	−	0.158039i	$-0.0505173\pi$
$368$	8.40332	−	3.79126i	0.438054	−	0.197633i
$369$	−12.4982	−	25.9528i	−0.650630	−	1.35105i
$370$	5.29133	+	7.55699i	0.275083	+	0.392869i
$371$	1.57378	+	37.7306i	0.0817065	+	1.95887i
$372$	17.6909	+	2.21737i	0.917232	+	0.114965i
$373$	2.06471			0.106907			0.0534534	−	0.998570i	$-0.482977\pi$
$373$	2.06471			0.106907			0.0534534	+	0.998570i	$0.482977\pi$
$374$	−25.0091	+	4.08869i	−1.29319	+	0.211421i
$375$	−12.6404	+	26.2481i	−0.652749	+	1.35545i
$376$	1.23477	−	6.52471i	0.0636785	−	0.336486i
$377$	−9.74974	−	2.22531i	−0.502137	−	0.114610i
$378$	−37.7486	+	17.2274i	−1.94158	+	0.886084i
$379$	−15.5675	+	3.55319i	−0.799650	+	0.182515i	−0.602773	−	0.797913i	$-0.705937\pi$
$379$	−15.5675	+	3.55319i	−0.799650	+	0.182515i	−0.196878	+	0.980428i	$0.563080\pi$
$380$	−0.242755	+	1.93679i	−0.0124531	+	0.0993550i
$381$	−15.2216	+	3.47424i	−0.779829	+	0.177991i
$382$	6.20669	+	3.48109i	0.317562	+	0.178108i
$383$	−6.38923	+	27.9930i	−0.326474	+	1.43038i	0.499326	+	0.866414i	$0.333581\pi$
$383$	−6.38923	+	27.9930i	−0.326474	+	1.43038i	−0.825800	+	0.563963i	$0.809276\pi$
$384$	34.0450	−	8.21551i	1.73735	−	0.419246i
$385$	4.55478	+	8.52936i	0.232133	+	0.434696i
$386$	−2.84142	+	5.06617i	−0.144624	+	0.257861i
$387$	49.1717	−	39.2131i	2.49954	−	1.99332i
$388$	−6.97491	−	7.15135i	−0.354098	−	0.363055i
$389$	22.2161	+	27.8582i	1.12640	+	1.41247i	0.898606	+	0.438756i	$0.144581\pi$
$389$	22.2161	+	27.8582i	1.12640	+	1.41247i	0.227797	+	0.973709i	$0.426848\pi$
$390$	−6.24696	−	15.3520i	−0.316327	−	0.777377i
$391$	11.9821			0.605963
$392$	6.69854	+	18.6314i	0.338327	+	0.941028i
$393$	4.48693			0.226336
$394$	−3.12153	−	7.67118i	−0.157260	−	0.386468i
$395$	−3.20981	−	4.02497i	−0.161503	−	0.202518i
$396$	31.6817	+	32.4832i	1.59207	+	1.63234i
$397$	−29.2892	+	23.3573i	−1.46998	+	1.17227i	−0.522424	+	0.852686i	$0.674972\pi$
$397$	−29.2892	+	23.3573i	−1.46998	+	1.17227i	−0.947557	+	0.319586i	$0.896456\pi$
$398$	1.53812	−	2.74242i	0.0770989	−	0.137465i
$399$	−7.27303	+	1.98226i	−0.364107	+	0.0992370i
$400$	15.0231	+	3.82607i	0.751154	+	0.191304i
$401$	−4.27409	+	18.7260i	−0.213438	+	0.935133i	0.748773	+	0.662827i	$0.230643\pi$
$401$	−4.27409	+	18.7260i	−0.213438	+	0.935133i	−0.962211	+	0.272306i	$0.912214\pi$
$402$	60.5997	+	33.9880i	3.02244	+	1.69517i
$403$	−10.0247	+	2.28807i	−0.499366	+	0.113977i
$404$	0.00358473	−	0.0286002i	0.000178347	−	0.00142291i
$405$	15.0737	−	3.44048i	0.749021	−	0.170959i
$406$	−9.34602	−	4.74107i	−0.463835	−	0.235296i
$407$	20.6722	+	4.71830i	1.02468	+	0.233878i
$408$	44.7254	+	8.46409i	2.21424	+	0.419035i
$409$	5.74483	−	11.9293i	0.284063	−	0.589864i	−0.709297	−	0.704910i	$-0.750987\pi$
$409$	5.74483	−	11.9293i	0.284063	−	0.589864i	0.993360	+	0.115046i	$0.0367017\pi$
$410$	6.47622	−	1.05879i	0.319838	−	0.0522899i
$411$	−5.78525			−0.285365
$412$	22.3549	+	2.80195i	1.10135	+	0.138042i
$413$	−7.46475	−	13.9786i	−0.367316	−	0.687843i
$414$	−12.3058	−	17.5749i	−0.604798	−	0.863762i
$415$	3.76276	+	7.81345i	0.184707	+	0.383547i
$416$	−16.8295	+	11.1680i	−0.825134	+	0.547557i
$417$	15.3310	−	67.1695i	0.750762	−	3.28930i
$418$	2.57327	+	3.67509i	0.125863	+	0.179755i
$419$	−27.8571	+	13.4153i	−1.36091	+	0.655379i	−0.964839	−	0.262842i	$-0.915340\pi$
$419$	−27.8571	+	13.4153i	−1.36091	+	0.655379i	−0.396069	+	0.918221i	$0.629626\pi$
$420$	−2.44771	−	17.1953i	−0.119436	−	0.839047i
$421$	−8.77642	−	4.22650i	−0.427736	−	0.205987i	0.207614	−	0.978211i	$-0.433430\pi$
$421$	−8.77642	−	4.22650i	−0.427736	−	0.205987i	−0.635351	+	0.772224i	$0.719144\pi$
$422$	0.324433	+	1.98444i	0.0157932	+	0.0966010i
$423$	−15.4542			−0.751407
$424$	−40.3426	+	1.50813i	−1.95921	+	0.0732414i
$425$	15.7533	+	12.5628i	0.764145	+	0.609386i
$426$	45.2165	+	2.82266i	2.19075	+	0.136758i
$427$	−19.6700	−	22.6598i	−0.951900	−	1.09658i
$428$	−10.9912	+	6.71626i	−0.531282	+	0.324643i
$429$	−34.3225	−	16.5288i	−1.65711	−	0.798020i
$430$	5.40023	+	13.2711i	0.260422	+	0.639989i
$431$	−1.20716	−	0.962677i	−0.0581468	−	0.0463705i	0.593985	−	0.804476i	$-0.297554\pi$
$431$	−1.20716	−	0.962677i	−0.0581468	−	0.0463705i	−0.652132	+	0.758105i	$0.726125\pi$
$432$	−18.2424	−	40.4342i	−0.877687	−	1.94539i
$433$	−5.11515	+	4.07919i	−0.245818	+	0.196034i	−0.738646	−	0.674093i	$-0.764535\pi$
$433$	−5.11515	+	4.07919i	−0.245818	+	0.196034i	0.492828	+	0.870127i	$0.335963\pi$
$434$	−10.7730	−	0.222579i	−0.517123	−	0.0106841i
$435$	7.18769	+	5.73199i	0.344623	+	0.274828i
$436$	−15.3514	−	9.91546i	−0.735197	−	0.474864i
$437$	−0.920414	−	1.91126i	−0.0440294	−	0.0914280i
$438$	−23.9968	+	26.5173i	−1.14661	+	1.26704i
$439$	2.83122	+	12.4044i	0.135127	+	0.592030i	0.996466	+	0.0839990i	$0.0267693\pi$
$439$	2.83122	+	12.4044i	0.135127	+	0.592030i	−0.861339	+	0.508031i	$0.830374\pi$
$440$	−9.13922	+	4.82982i	−0.435695	+	0.230253i
$441$	39.7051	−	23.3799i	1.89072	−	1.11333i
$442$	−25.9078	+	4.23564i	−1.23231	+	0.201469i
$443$	32.6098	−	7.44298i	1.54934	−	0.353627i	0.639568	−	0.768734i	$-0.279113\pi$
$443$	32.6098	−	7.44298i	1.54934	−	0.353627i	0.909772	+	0.415108i	$0.136256\pi$
$444$	−31.9942	−	20.6651i	−1.51838	−	0.980722i
$445$	12.5857	−	6.06093i	0.596618	−	0.287316i
$446$	14.0736	+	12.7359i	0.666405	+	0.603063i
$447$	−11.4683	+	14.3808i	−0.542433	+	0.680190i
$448$	−19.9486	+	7.07491i	−0.942482	+	0.334258i
$449$	−0.428160	−	0.536896i	−0.0202061	−	0.0253377i	0.771626	−	0.636077i	$-0.219444\pi$
$449$	−0.428160	−	0.536896i	−0.0202061	−	0.0253377i	−0.791832	+	0.610739i	$0.790872\pi$
$450$	2.24784	−	36.0084i	0.105964	−	1.69745i
$451$	9.40401	−	11.7923i	0.442818	−	0.555276i
$452$	3.14315	+	5.14380i	0.147841	+	0.241944i
$453$	−4.31018	+	8.95018i	−0.202510	+	0.420516i
$454$	−8.65536	−	21.2706i	−0.406216	−	0.998279i
$455$	4.71847	+	8.83589i	0.221205	+	0.414233i
$456$	−2.08551	−	7.78428i	−0.0976628	−	0.364532i
$457$	13.3308	−	16.7163i	0.623587	−	0.781954i	−0.365257	−	0.930907i	$-0.619019\pi$
$457$	13.3308	−	16.7163i	0.623587	−	0.781954i	0.988844	+	0.148953i	$0.0475903\pi$
$458$	3.71147	−	12.5868i	0.173425	−	0.588141i
$459$		−	57.6543i		−	2.69107i
$460$	4.63319	−	1.55655i	0.216024	−	0.0725746i
$461$	4.58018	−	9.51084i	0.213320	−	0.442964i	−0.766661	−	0.642052i	$-0.778083\pi$
$461$	4.58018	−	9.51084i	0.213320	−	0.442964i	0.979982	+	0.199087i	$0.0637978\pi$
$462$	−30.6906	−	25.5297i	−1.42786	−	1.18775i
$463$	4.70578	+	9.77165i	0.218696	+	0.454127i	0.981235	−	0.192815i	$-0.0617618\pi$
$463$	4.70578	+	9.77165i	0.218696	+	0.454127i	−0.762539	+	0.646942i	$0.776047\pi$
$464$	5.11155	−	9.96932i	0.237298	−	0.462814i
$465$	9.21568	+	2.10342i	0.427367	+	0.0975437i
$466$	−1.72486	+	27.6308i	−0.0799028	+	1.27997i
$467$	4.40242	−	2.12009i	0.203719	−	0.0981061i	−0.329242	−	0.944246i	$-0.606793\pi$
$467$	4.40242	−	2.12009i	0.203719	−	0.0981061i	0.532962	+	0.846139i	$0.321079\pi$
$468$	32.8203	+	33.6506i	1.51712	+	1.55550i
$469$	−38.5591	−	16.6268i	−1.78049	−	0.767752i
$470$	0.995744	−	3.37689i	0.0459303	−	0.155764i
$471$		−	28.8720i		−	1.33035i
$472$	14.9781	−	7.91551i	0.689424	−	0.364341i
$473$	29.6703	+	14.2885i	1.36424	+	0.656984i
$474$	18.5380	+	10.3972i	0.851478	+	0.477561i
$475$	0.793786	−	3.47780i	0.0364214	−	0.159573i
$476$	−27.4153	−	2.28077i	−1.25658	−	0.104539i
$477$	20.9065	+	91.5973i	0.957242	+	4.19395i
$478$	7.28394	−	24.7022i	0.333159	−	1.12985i
$479$	4.52636	+	19.8313i	0.206815	+	0.906115i	0.966671	+	0.256023i	$0.0824123\pi$
$479$	4.52636	+	19.8313i	0.206815	+	0.906115i	−0.759856	+	0.650092i	$0.774731\pi$
$480$	18.3937	−	2.53725i	0.839555	−	0.115809i
$481$	21.4152	+	4.88787i	0.976447	+	0.222868i
$482$	−7.81537	+	8.63625i	−0.355980	+	0.393370i
$483$	12.3738	+	14.2546i	0.563028	+	0.648605i
$484$	−0.601618	+	1.65282i	−0.0273463	+	0.0751280i
$485$	−3.30213	−	4.14075i	−0.149942	−	0.188022i
$486$	−13.7492	+	9.62705i	−0.623675	+	0.436692i
$487$	−20.4764	+	16.3294i	−0.927873	+	0.739954i	−0.965790	−	0.259327i	$-0.916499\pi$
$487$	−20.4764	+	16.3294i	−0.927873	+	0.739954i	0.0379169	+	0.999281i	$0.487928\pi$
$488$	24.3150	−	20.9233i	1.10069	−	0.947152i
$489$			33.1928i			1.50103i
$490$	2.55046	+	10.1824i	0.115218	+	0.459993i
$491$			5.41346i			0.244306i	0.992511	+	0.122153i	$0.0389799\pi$
$491$			5.41346i			0.244306i	−0.992511	+	0.122153i	$0.961020\pi$
$492$	−23.1184	+	14.1266i	−1.04226	+	0.636877i
$493$	11.3845	−	9.07882i	0.512731	−	0.408890i
$494$	2.66575	+	3.80717i	0.119938	+	0.171293i
$495$	14.9991	+	18.8083i	0.674159	+	0.845369i
$496$	0.287709	−	11.5157i	0.0129185	−	0.517072i
$497$	−27.3564	+	1.14106i	−1.22710	+	0.0511837i
$498$	−26.5478	−	24.0244i	−1.18964	−	1.07656i
$499$	12.5605	+	2.86684i	0.562284	+	0.128338i	0.494210	−	0.869343i	$-0.335457\pi$
$499$	12.5605	+	2.86684i	0.562284	+	0.128338i	0.0680739	+	0.997680i	$0.478315\pi$
$500$	17.6873	+	6.43811i	0.791001	+	0.287921i
$501$	8.42670	+	36.9198i	0.376477	+	1.64945i
$502$	8.47621	+	2.49938i	0.378312	+	0.111553i
$503$	0.0392210	+	0.171839i	0.00174878	+	0.00766190i	0.975795	−	0.218688i	$-0.0701778\pi$
$503$	0.0392210	+	0.171839i	0.00174878	+	0.00766190i	−0.974046	+	0.226350i	$0.927321\pi$
$504$	24.8105	+	42.5541i	1.10515	+	1.89551i
$505$	0.00340051	−	0.0148986i	0.000151321	−	0.000662979i
$506$	5.49541	−	9.79817i	0.244301	−	0.435582i
$507$	0.700996	+	0.337582i	0.0311323	+	0.0149925i
$508$	3.21249	+	9.56223i	0.142531	+	0.424255i
$509$			33.3817i			1.47962i	0.672816	+	0.739809i	$0.265084\pi$
$509$			33.3817i			1.47962i	−0.672816	+	0.739809i	$0.734916\pi$
$510$	23.1478	+	6.82560i	1.02500	+	0.302243i
$511$	12.7601	−	17.4453i	0.564473	−	0.771737i
$512$	−7.47118	−	21.3584i	−0.330182	−	0.943917i
$513$	−9.19638	+	4.42874i	−0.406030	+	0.195534i
$514$	−12.3472	−	0.770781i	−0.544612	−	0.0339977i
$515$	11.6453	+	2.65795i	0.513151	+	0.117123i
$516$	−41.3024	−	42.3472i	−1.81824	−	1.86423i
$517$	−3.51098	−	7.29063i	−0.154413	−	0.320642i
$518$	20.5284	+	10.4137i	0.901966	+	0.457552i
$519$	17.1368	−	35.5850i	0.752223	−	1.56201i
$520$	−9.46767	+	5.00340i	−0.415185	+	0.219413i
$521$			2.10713i			0.0923152i	0.998934	+	0.0461576i	$0.0146976\pi$
$521$			2.10713i			0.0923152i	−0.998934	+	0.0461576i	$0.985302\pi$
$522$	−25.0085	−	7.37426i	−1.09459	−	0.322762i
$523$	−22.0128	+	27.6032i	−0.962554	+	1.20701i	0.0157592	+	0.999876i	$0.494983\pi$
$523$	−22.0128	+	27.6032i	−0.962554	+	1.20701i	−0.978314	+	0.207129i	$0.933588\pi$
$524$	−0.288577	−	2.88455i	−0.0126065	−	0.126012i
$525$	1.32284	+	31.7143i	0.0577333	+	1.38413i
$526$	2.10471	−	0.856439i	0.0917695	−	0.0373425i
$527$	6.49609	−	13.4893i	0.282974	−	0.587602i
$528$	27.4339	−	32.6914i	1.19391	−	1.42271i
$529$	11.0284	−	13.8292i	0.479495	−	0.601268i
$530$	−21.3620	−	1.33353i	−0.927905	−	0.0579249i
$531$	−24.5818	−	30.8246i	−1.06676	−	1.33767i
$532$	1.74212	+	4.54819i	0.0755303	+	0.197189i
$533$	9.74198	−	12.2161i	0.421972	−	0.529136i
$534$	−38.6978	+	42.7624i	−1.67462	+	1.85051i
$535$	−6.15280	+	2.96303i	−0.266009	+	0.128103i
$536$	17.9527	−	41.1442i	0.775439	−	1.77716i
$537$	−30.5436	+	6.97137i	−1.31805	+	0.300837i
$538$	4.88092	+	29.8548i	0.210431	+	1.28713i
$539$	20.0501	+	13.4196i	0.863620	+	0.578023i
$540$	−7.48964	−	22.2935i	−0.322303	−	0.959358i
$541$	7.43457	+	32.5730i	0.319637	+	1.40042i	0.838191	+	0.545376i	$0.183613\pi$
$541$	7.43457	+	32.5730i	0.319637	+	1.40042i	−0.518554	+	0.855045i	$0.673530\pi$
$542$	18.3393	+	16.5962i	0.787742	+	0.712867i
$543$	19.6264	+	40.7546i	0.842249	+	1.74895i
$544$	2.56487	−	29.2974i	0.109968	−	1.25612i
$545$	−7.57518	−	6.04101i	−0.324485	−	0.258768i
$546$	−31.7936	−	26.4472i	−1.36064	−	1.13184i
$547$	−11.5773	+	9.23259i	−0.495009	+	0.394757i	−0.838928	−	0.544243i	$-0.816817\pi$
$547$	−11.5773	+	9.23259i	−0.495009	+	0.394757i	0.343918	+	0.939000i	$0.388246\pi$
$548$	0.372078	+	3.71921i	0.0158944	+	0.158877i
$549$	−58.3666	−	46.5458i	−2.49103	−	1.98653i
$550$	17.4980	−	7.12020i	0.746116	−	0.303607i
$551$	−2.32266	−	1.11853i	−0.0989486	−	0.0476511i
$552$	−15.2958	+	13.1622i	−0.651032	+	0.560220i
$553$	−11.7956	−	5.08627i	−0.501599	−	0.216290i
$554$	0.0384190	−	0.615438i	0.00163227	−	0.0261474i
$555$	−15.7877	−	12.5902i	−0.670149	−	0.534426i
$556$	−44.1678	−	5.53597i	−1.87313	−	0.234777i
$557$	−13.2865			−0.562969			−0.281484	−	0.959566i	$-0.590827\pi$
$557$	−13.2865			−0.562969			−0.281484	+	0.959566i	$0.590827\pi$
$558$	−26.4571	+	4.32544i	−1.12002	+	0.183110i
$559$	30.7366	+	14.8020i	1.30002	+	0.626057i
$560$	−10.8971	+	2.67950i	−0.460486	+	0.113229i
$561$	49.9756	−	24.0670i	2.10997	−	1.01611i
$562$	6.94821	−	4.86507i	0.293092	−	0.205221i
$563$	−8.30377	+	36.3812i	−0.349962	+	1.53328i	0.427302	+	0.904109i	$0.359464\pi$
$563$	−8.30377	+	36.3812i	−0.349962	+	1.53328i	−0.777264	+	0.629175i	$0.783393\pi$
$564$	1.44693	+	14.4632i	0.0609265	+	0.609009i
$565$	1.38667	+	2.87945i	0.0583377	+	0.121140i
$566$	−3.46486	+	2.42606i	−0.145639	+	0.101975i
$567$	29.1335	−	25.2896i	1.22349	−	1.06206i
$568$	−1.09347	−	29.2503i	−0.0458809	−	1.22731i
$569$	−2.99496			−0.125555			−0.0627775	−	0.998028i	$-0.519996\pi$
$569$	−2.99496			−0.125555			−0.0627775	+	0.998028i	$0.519996\pi$
$570$	−0.689366	−	4.21660i	−0.0288743	−	0.176614i
$571$	16.4285	−	34.1141i	0.687510	−	1.42763i	−0.205985	−	0.978555i	$-0.566040\pi$
$571$	16.4285	−	34.1141i	0.687510	−	1.42763i	0.893495	−	0.449074i	$-0.148246\pi$
$572$	−8.41859	+	23.1282i	−0.351999	+	0.967040i
$573$	−15.1861	−	3.46613i	−0.634409	−	0.144800i
$574$	13.0097	−	9.94229i	0.543014	−	0.414983i
$575$	−8.70845	+	1.98765i	−0.363167	+	0.0828906i
$576$	−45.6064	+	26.3267i	−1.90027	+	1.09695i
$577$	6.64297	−	1.51622i	0.276551	−	0.0631209i	−0.0819961	−	0.996633i	$-0.526130\pi$
$577$	6.64297	−	1.51622i	0.276551	−	0.0631209i	0.358547	+	0.933512i	$0.383272\pi$
$578$	6.93777	−	12.3699i	0.288573	−	0.514518i
$579$	2.82921	−	12.3956i	0.117578	−	0.515143i
$580$	3.22270	−	4.98946i	0.133815	−	0.207176i
$581$	17.4654	+	12.7748i	0.724588	+	0.529988i
$582$	19.0712	+	10.6963i	0.790528	+	0.443376i
$583$	−38.4621	+	30.6725i	−1.59294	+	1.27033i
$584$	18.5907	+	13.7216i	0.769290	+	0.567803i
$585$	15.5381	+	19.4842i	0.642423	+	0.805573i
$586$	0.208883	−	0.0849977i	0.00862886	−	0.00351122i
$587$	−27.0024			−1.11451			−0.557255	−	0.830341i	$-0.688145\pi$
$587$	−27.0024			−1.11451			−0.557255	+	0.830341i	$0.688145\pi$
$588$	−25.5981	−	34.9700i	−1.05565	−	1.44214i
$589$	−2.65066			−0.109219
$590$	8.31933	−	3.38527i	0.342501	−	0.139369i
$591$	11.3028	+	14.1733i	0.464935	+	0.583010i
$592$	−11.2274	+	21.8975i	−0.461445	+	0.899981i
$593$	24.4544	−	19.5017i	1.00422	−	0.800839i	0.0241937	−	0.999707i	$-0.492298\pi$
$593$	24.4544	−	19.5017i	1.00422	−	0.800839i	0.980026	+	0.198869i	$0.0637267\pi$
$594$	−47.1457	−	26.4422i	−1.93441	−	1.08494i
$595$	−14.3423	−	2.65008i	−0.587979	−	0.108643i
$596$	9.98271	+	6.44784i	0.408908	+	0.264114i
$597$	−1.53151	+	6.70999i	−0.0626806	+	0.274621i
$598$	5.69291	−	10.1503i	0.232800	−	0.415077i
$599$	32.5444	−	7.42804i	1.32973	−	0.303502i	0.502115	−	0.864801i	$-0.332555\pi$
$599$	32.5444	−	7.42804i	1.32973	−	0.303502i	0.827613	+	0.561299i	$0.189698\pi$
$600$	−33.9098	+	1.26766i	−1.38436	+	0.0517519i
$601$	−7.91568	+	1.80670i	−0.322887	+	0.0736969i	−0.380892	−	0.924619i	$-0.624383\pi$
$601$	−7.91568	+	1.80670i	−0.322887	+	0.0736969i	0.0580051	+	0.998316i	$0.481526\pi$
$602$	27.4842	+	22.8625i	1.12017	+	0.931804i
$603$	−101.852	−	23.2470i	−4.14773	−	0.946692i
$604$	6.03109	+	2.19529i	0.245402	+	0.0893252i
$605$	−0.404608	+	0.840178i	−0.0164497	+	0.0341581i
$606$	0.0101797	+	0.0622658i	0.000413524	+	0.00252937i
$607$	16.5437			0.671489			0.335744	−	0.941953i	$-0.391012\pi$
$607$	16.5437			0.671489			0.335744	+	0.941953i	$0.391012\pi$
$608$	−4.87022	+	1.84137i	−0.197513	+	0.0746775i
$609$	22.5572	+	4.16798i	0.914066	+	0.168895i
$610$	13.9314	−	9.75464i	0.564066	−	0.394954i
$611$	−3.63716	−	7.55265i	−0.147144	−	0.305547i
$612$	−68.1032	+	6.81319i	−2.75291	+	0.275407i
$613$	−3.82993	+	16.7800i	−0.154689	+	0.677739i	0.836795	+	0.547516i	$0.184426\pi$
$613$	−3.82993	+	16.7800i	−0.154689	+	0.677739i	−0.991485	+	0.130223i	$0.958431\pi$
$614$	16.1226	−	11.2889i	0.650654	−	0.455582i
$615$	−12.9415	+	6.23228i	−0.521850	+	0.251310i
$616$	−14.4386	+	21.3723i	−0.581749	+	0.861115i
$617$	−27.7548	−	13.3660i	−1.11737	−	0.538095i	−0.218288	−	0.975884i	$-0.570047\pi$
$617$	−27.7548	−	13.3660i	−1.11737	−	0.538095i	−0.899078	+	0.437789i	$0.855762\pi$
$618$	−48.6691	+	7.95683i	−1.95776	+	0.320071i
$619$	40.9315			1.64517			0.822587	−	0.568639i	$-0.192530\pi$
$619$	40.9315			1.64517			0.822587	+	0.568639i	$0.192530\pi$
$620$	0.759537	−	6.05984i	0.0305037	−	0.243369i
$621$	19.9828	+	15.9357i	0.801881	+	0.639479i
$622$	−1.54703	+	24.7821i	−0.0620303	+	0.993671i
$623$	20.5772	−	28.1328i	0.824409	−	1.12712i
$624$	28.4198	−	33.8663i	1.13770	−	1.35574i
$625$	−8.46822	−	4.07808i	−0.338729	−	0.163123i
$626$	−17.0801	+	6.95016i	−0.682658	+	0.277784i
$627$	−7.67781	−	6.12285i	−0.306622	−	0.244523i
$628$	−18.5612	+	1.85690i	−0.740673	+	0.0740985i
$629$	−25.0059	+	19.9415i	−0.997049	+	0.795120i
$630$	10.8427	+	23.7585i	0.431985	+	0.946560i
$631$	−1.42577	−	1.13701i	−0.0567591	−	0.0452638i	0.594699	−	0.803948i	$-0.297271\pi$
$631$	−1.42577	−	1.13701i	−0.0567591	−	0.0452638i	−0.651458	+	0.758684i	$0.725843\pi$
$632$	5.49189	−	12.5864i	0.218456	−	0.500659i
$633$	−1.90969	−	3.96551i	−0.0759033	−	0.157615i
$634$	−0.757089	−	0.685128i	−0.0300679	−	0.0272099i
$635$	1.19007	+	5.21402i	0.0472263	+	0.206912i
$636$	83.7662	−	28.1418i	3.32154	−	1.11590i
$637$	20.7707	+	13.9019i	0.822965	+	0.550812i
$638$	−2.20273	−	13.4733i	−0.0872069	−	0.533413i
$639$	−66.4123	+	15.1582i	−2.62723	+	0.599648i
$640$	−2.81414	−	11.6617i	−0.111239	−	0.460971i
$641$	−32.5402	+	15.6706i	−1.28526	+	0.618950i	−0.946737	−	0.322007i	$-0.895642\pi$
$641$	−32.5402	+	15.6706i	−1.28526	+	0.618950i	−0.338525	+	0.940957i	$0.609928\pi$
$642$	18.9183	−	20.9054i	0.746647	−	0.825071i
$643$	−3.23554	+	4.05724i	−0.127597	+	0.160002i	−0.841526	−	0.540216i	$-0.818342\pi$
$643$	−3.23554	+	4.05724i	−0.127597	+	0.160002i	0.713929	+	0.700218i	$0.246914\pi$
$644$	8.36814	−	8.87164i	0.329751	−	0.349592i
$645$	−19.5538	−	24.5197i	−0.769930	−	0.965462i
$646$	−6.75413	−	0.421630i	−0.265738	−	0.0165888i
$647$	−28.3330	+	35.5285i	−1.11389	+	1.39677i	−0.205489	+	0.978659i	$0.565878\pi$
$647$	−28.3330	+	35.5285i	−1.11389	+	1.39677i	−0.908397	+	0.418109i	$0.862693\pi$
$648$	26.9009	+	31.2615i	1.05677	+	1.22807i
$649$	8.95709	−	18.5996i	0.351597	−	0.730098i
$650$	18.1268	−	7.37609i	0.710992	−	0.289314i
$651$	22.7560	−	6.20212i	0.891877	−	0.243080i
$652$	21.3389	−	2.13479i	0.835696	−	0.0836048i
$653$	−3.06643	+	3.84519i	−0.119999	+	0.150474i	−0.838202	−	0.545359i	$-0.816393\pi$
$653$	−3.06643	+	3.84519i	−0.119999	+	0.150474i	0.718204	+	0.695833i	$0.244965\pi$
$654$	38.3689	+	11.3139i	1.50034	+	0.442407i
$655$		−	1.53695i		−	0.0600537i
$656$	10.5686	+	13.9538i	0.412633	+	0.544802i
$657$	23.3317	−	48.4487i	0.910254	−	1.89016i
$658$	−1.77743	−	8.60289i	−0.0692914	−	0.335375i
$659$	−12.4614	−	25.8763i	−0.485425	−	1.00800i	−0.989526	−	0.144352i	$-0.953890\pi$
$659$	−12.4614	−	25.8763i	−0.485425	−	1.00800i	0.504101	−	0.863645i	$-0.331824\pi$
$660$	16.1979	−	15.7982i	0.630501	−	0.614945i
$661$	37.8495	+	8.63890i	1.47217	+	0.336014i	0.881995	−	0.471258i	$-0.156200\pi$
$661$	37.8495	+	8.63890i	1.47217	+	0.336014i	0.590179	+	0.807273i	$0.299057\pi$
$662$	−31.5192	−	1.96760i	−1.22503	−	0.0764731i
$663$	51.7717	−	24.9319i	2.01065	−	0.968276i
$664$	−13.7374	+	18.6122i	−0.533114	+	0.722292i
$665$	0.679002	+	2.49130i	0.0263306	+	0.0966085i
$666$	54.9307	+	16.1974i	2.12852	+	0.627638i
$667$			6.45522i			0.249947i
$668$	23.1930	−	7.79184i	0.897364	−	0.301475i
$669$	−37.4324	−	18.0265i	−1.44722	−	0.696944i
$670$	11.6422	−	20.7578i	0.449779	−	0.801944i
$671$	8.69825	−	38.1095i	0.335792	−	1.47120i
$672$	37.5024	−	27.2037i	1.44669	−	1.04941i
$673$	−1.28036	−	5.60963i	−0.0493543	−	0.216235i	0.944237	−	0.329266i	$-0.106801\pi$
$673$	−1.28036	−	5.60963i	−0.0493543	−	0.216235i	−0.993592	+	0.113031i	$0.963944\pi$
$674$	34.0508	+	10.0406i	1.31159	+	0.386748i
$675$	9.56393	+	41.9023i	0.368116	+	1.61282i
$676$	0.171940	−	0.472367i	0.00661306	−	0.0181680i
$677$	−12.8873	−	2.94145i	−0.495300	−	0.113049i	−0.0324278	−	0.999474i	$-0.510324\pi$
$677$	−12.8873	−	2.94145i	−0.495300	−	0.113049i	−0.462872	+	0.886425i	$0.653181\pi$
$678$	−9.78354	−	8.85361i	−0.375735	−	0.340021i
$679$	−12.1349	−	5.23258i	−0.465693	−	0.200808i
$680$	2.89928	−	15.3202i	0.111182	−	0.587504i
$681$	31.3404	+	39.2996i	1.20097	+	1.50596i
$682$	−8.05127	−	11.4987i	−0.308299	−	0.440307i
$683$	−30.2201	+	24.0997i	−1.15634	+	0.922151i	−0.997871	−	0.0652129i	$-0.979227\pi$
$683$	−30.2201	+	24.0997i	−1.15634	+	0.922151i	−0.158469	+	0.987364i	$0.550656\pi$
$684$	6.31815	+	10.3397i	0.241580	+	0.395349i
$685$			1.98168i			0.0757159i
$686$	17.5815	+	19.4137i	0.671265	+	0.741217i
$687$			28.7238i			1.09588i
$688$	−24.5677	+	29.2760i	−0.936636	+	1.11614i
$689$	−39.8444	+	31.7748i	−1.51795	+	1.21052i
$690$	−8.76382	+	6.13634i	−0.333633	+	0.233607i
$691$	10.0877	+	12.6496i	0.383755	+	0.481214i	0.935765	−	0.352624i	$-0.114710\pi$
$691$	10.0877	+	12.6496i	0.383755	+	0.481214i	−0.552010	+	0.833837i	$0.686139\pi$
$692$	−23.9790	−	8.72825i	−0.911544	−	0.331798i
$693$	55.1195	+	23.7676i	2.09382	+	0.902858i
$694$	21.1230	−	23.3417i	0.801819	−	0.886037i
$695$	−23.0082	−	5.25147i	−0.872751	−	0.199200i
$696$	−4.55991	+	24.0952i	−0.172843	+	0.913327i
$697$	5.06254	+	22.1804i	0.191757	+	0.840143i
$698$	4.67729	−	15.8622i	0.177038	−	0.600393i
$699$	−13.4844	−	59.0791i	−0.510027	−	2.23458i
$700$	20.3034	−	2.89013i	0.767396	−	0.109237i
$701$	4.85111	−	21.2541i	0.183224	−	0.802756i	−0.796859	−	0.604166i	$-0.793506\pi$
$701$	4.85111	−	21.2541i	0.183224	−	0.802756i	0.980083	−	0.198591i	$-0.0636364\pi$
$702$	−48.8401	−	27.3925i	−1.84335	−	1.03386i
$703$	5.10168	+	2.45684i	0.192414	+	0.0926615i
$704$	−22.7810	−	15.5341i	−0.858593	−	0.585464i
$705$			7.70628i			0.290235i
$706$	3.00197	−	10.1806i	0.112981	−	0.383154i
$707$	−0.0100267	−	0.0367886i	−0.000377093	−	0.00138358i
$708$	−26.5464	+	25.8915i	−0.997675	+	0.973061i
$709$	26.4778	−	12.7511i	0.994396	−	0.478876i	0.135363	−	0.990796i	$-0.456780\pi$
$709$	26.4778	−	12.7511i	0.994396	−	0.478876i	0.859033	+	0.511920i	$0.171066\pi$
$710$	0.966873	−	15.4884i	0.0362861	−	0.581271i
$711$	−31.1574	−	7.11147i	−1.16849	−	0.266701i
$712$	29.9799	+	22.1277i	1.12354	+	0.829272i
$713$	2.87981	+	5.97998i	0.107850	+	0.223952i
$714$	58.9708	−	12.1839i	2.20693	−	0.455970i
$715$	−5.66178	+	11.7568i	−0.211739	+	0.439680i
$716$	6.44615	+	19.1874i	0.240904	+	0.717068i
$717$			56.3720i			2.10525i
$718$	7.29688	−	24.7461i	0.272317	−	0.923515i
$719$	11.3850	−	14.2764i	0.424589	−	0.532418i	−0.522820	−	0.852443i	$-0.675120\pi$
$719$	11.3850	−	14.2764i	0.424589	−	0.532418i	0.947409	+	0.320025i	$0.103691\pi$
$720$	−25.4487	+	11.4815i	−0.948418	+	0.427890i
$721$	28.7552	−	7.83721i	1.07090	−	0.291873i
$722$	−9.67594	−	23.7787i	−0.360101	−	0.884951i
$723$	11.0619	−	22.9703i	0.411397	−	0.854275i
$724$	24.9380	−	15.2385i	0.926813	−	0.566335i
$725$	−6.76804	+	8.48686i	−0.251359	+	0.315194i
$726$	0.239874	−	3.84256i	0.00890255	−	0.142611i
$727$	22.2114	+	27.8522i	0.823775	+	1.03298i	0.998827	+	0.0484219i	$0.0154192\pi$
$727$	22.2114	+	27.8522i	0.823775	+	1.03298i	−0.175052	+	0.984559i	$0.556009\pi$
$728$	−14.9575	+	22.1404i	−0.554363	+	0.820577i
$729$	−4.36743	+	5.47658i	−0.161757	+	0.202836i
$730$	9.08321	+	8.21985i	0.336185	+	0.304230i
$731$	−44.7544	+	21.5526i	−1.65530	+	0.797151i
$732$	−38.0964	+	58.9818i	−1.40808	+	2.18003i
$733$	24.7104	−	5.63998i	0.912698	−	0.208317i	0.259711	−	0.965686i	$-0.416373\pi$
$733$	24.7104	−	5.63998i	0.912698	−	0.208317i	0.652987	+	0.757369i	$0.273516\pi$
$734$	19.9890	−	3.26798i	0.737808	−	0.120623i
$735$	−11.6585	−	19.7991i	−0.430030	−	0.730301i
$736$	9.44544	+	8.98681i	0.348163	+	0.331258i
$737$	−12.1724	−	53.3309i	−0.448377	−	1.96447i
$738$	27.3341	−	30.2051i	1.00618	−	1.11187i
$739$	2.78183	+	5.77654i	0.102331	+	0.212493i	0.945848	−	0.324610i	$-0.105233\pi$
$739$	2.78183	+	5.77654i	0.102331	+	0.212493i	−0.843517	+	0.537103i	$0.819519\pi$
$740$	−7.07861	+	10.9593i	−0.260215	+	0.402871i
$741$	−7.95373	−	6.34289i	−0.292188	−	0.233012i
$742$	−48.5850	+	22.1729i	−1.78361	+	0.813993i
$743$	−0.583687	+	0.465475i	−0.0214134	+	0.0170766i	−0.634138	−	0.773220i	$-0.718645\pi$
$743$	−0.583687	+	0.465475i	−0.0214134	+	0.0170766i	0.612725	+	0.790296i	$0.290073\pi$
$744$	6.52517	+	24.3556i	0.239224	+	0.892919i
$745$	4.92600	+	3.92836i	0.180475	+	0.143924i
$746$	1.10055	+	2.70460i	0.0402938	+	0.0990225i
$747$	48.5045	+	23.3585i	1.77469	+	0.854644i
$748$	−18.6863	−	30.5804i	−0.683240	−	1.11813i
$749$	−10.0597	+	13.7534i	−0.367572	+	0.502537i
$750$	−41.1205	−	2.56697i	−1.50151	−	0.0937324i
$751$	38.3647	+	30.5948i	1.39995	+	1.11642i	0.977716	+	0.209932i	$0.0673243\pi$
$751$	38.3647	+	30.5948i	1.39995	+	1.11642i	0.422231	+	0.906488i	$0.361247\pi$
$752$	9.20500	−	1.86039i	0.335672	−	0.0678416i
$753$	−19.3433			−0.704908
$754$	−2.28189	−	13.9575i	−0.0831016	−	0.508302i
$755$	3.06579	+	1.47641i	0.111576	+	0.0537320i
$756$	−42.6875	−	40.2649i	−1.55253	−	1.46442i
$757$	12.4373	−	5.98951i	0.452043	−	0.217692i	−0.193988	−	0.981004i	$-0.562142\pi$
$757$	12.4373	−	5.98951i	0.452043	−	0.217692i	0.646030	+	0.763312i	$0.276428\pi$
$758$	−12.9523	−	18.4982i	−0.470448	−	0.671886i
$759$	−5.47180	+	23.9735i	−0.198614	+	0.870184i
$760$	−2.66642	+	0.714369i	−0.0967214	+	0.0259129i
$761$	−17.2941	−	35.9115i	−0.626910	−	1.30179i	−0.936415	−	0.350895i	$-0.885878\pi$
$761$	−17.2941	−	35.9115i	−0.626910	−	1.30179i	0.309505	−	0.950898i	$-0.399837\pi$
$762$	−12.6645	−	18.0872i	−0.458787	−	0.655231i
$763$	−23.7733	−	4.39268i	−0.860652	−	0.159026i
$764$	−1.25161	+	9.98576i	−0.0452816	+	0.361272i
$765$	−36.2869			−1.31195
$766$	−40.0742	+	6.55167i	−1.44794	+	0.236721i
$767$	9.27899	−	19.2680i	0.335045	−	0.695728i
$768$	28.9085	+	40.2170i	1.04315	+	1.45121i
$769$	42.4445	+	9.68769i	1.53059	+	0.349347i	0.903152	−	0.429320i	$-0.141247\pi$
$769$	42.4445	+	9.68769i	1.53059	+	0.349347i	0.627437	+	0.778667i	$0.284104\pi$
$770$	−8.74493	+	10.5128i	−0.315145	+	0.378854i
$771$	26.4003	−	6.02571i	0.950785	−	0.217011i
$772$	−8.15081	−	1.02162i	−0.293354	−	0.0367688i
$773$	7.44915	−	1.70022i	0.267927	−	0.0611527i	−0.0864465	−	0.996256i	$-0.527551\pi$
$773$	7.44915	−	1.70022i	0.267927	−	0.0611527i	0.354374	+	0.935104i	$0.384694\pi$
$774$	77.5758	+	43.5092i	2.78840	+	1.56391i
$775$	−2.48361	+	10.8814i	−0.0892139	+	0.390872i
$776$	5.64986	−	12.9484i	0.202818	−	0.464821i
$777$	−49.5466	−	9.15490i	−1.77748	−	0.328430i
$778$	−24.6501	+	43.9504i	−0.883749	+	1.57570i
$779$	3.14910	−	2.51132i	0.112828	−	0.0899774i
$780$	16.7800	−	16.3660i	0.600820	−	0.585997i
$781$	−22.2390	−	27.8868i	−0.795774	−	0.997870i
$782$	6.38680	+	15.6956i	0.228392	+	0.561274i
$783$	31.0605			1.11001
$784$	−20.8351	+	18.7056i	−0.744111	+	0.668056i
$785$	−9.88982			−0.352983
$786$	2.39165	+	5.87751i	0.0853074	+	0.209644i
$787$	−5.38251	−	6.74946i	−0.191866	−	0.240592i	0.676588	−	0.736361i	$-0.263458\pi$
$787$	−5.38251	−	6.74946i	−0.191866	−	0.240592i	−0.868454	+	0.495769i	$0.834886\pi$
$788$	8.38475	−	8.17788i	0.298694	−	0.291325i
$789$	−3.88865	+	3.10110i	−0.138440	+	0.110402i
$790$	3.56147	−	6.35000i	0.126711	−	0.225923i
$791$	6.43646	+	4.70783i	0.228854	+	0.167391i
$792$	−25.6630	+	58.8149i	−0.911897	+	2.08989i
$793$	9.01086	−	39.4791i	0.319985	−	1.40195i
$794$	−46.2081	−	25.9163i	−1.63986	−	0.919735i
$795$	45.6754	−	10.4251i	1.61994	−	0.369740i
$796$	4.41221	+	0.553023i	0.156387	+	0.0196014i
$797$	34.6754	−	7.91443i	1.22827	−	0.280343i	0.441310	−	0.897354i	$-0.354514\pi$
$797$	34.6754	−	7.91443i	1.22827	−	0.280343i	0.786955	+	0.617011i	$0.211657\pi$
$798$	−6.47331	−	8.47047i	−0.229153	−	0.299851i
$799$	11.8998	+	2.71606i	0.420986	+	0.0960874i
$800$	2.99586	+	21.7184i	0.105920	+	0.767861i
$801$	37.6252	−	78.1295i	1.32942	−	2.76057i
$802$	−26.8077	+	4.38276i	−0.946614	+	0.154761i
$803$	28.1567			0.993629
$804$	−12.2202	+	97.4971i	−0.430974	+	3.43846i
$805$	4.88275	−	4.23852i	0.172094	−	0.149388i
$806$	−8.34062	−	11.9119i	−0.293786	−	0.419580i
$807$	−28.7302	−	59.6589i	−1.01135	−	2.10009i
$808$	0.0393746	−	0.0105490i	0.00138519	−	0.000371111i
$809$	5.93702	−	26.0118i	0.208735	−	0.914526i	−0.756676	−	0.653791i	$-0.773178\pi$
$809$	5.93702	−	26.0118i	0.208735	−	0.914526i	0.965410	−	0.260736i	$-0.0839651\pi$
$810$	12.5415	+	17.9115i	0.440662	+	0.629346i
$811$	2.27148	−	1.09388i	0.0797623	−	0.0384115i	−0.393577	−	0.919292i	$-0.628763\pi$
$811$	2.27148	−	1.09388i	0.0797623	−	0.0384115i	0.473340	+	0.880880i	$0.343048\pi$
$812$	1.22874	−	14.7696i	0.0431202	−	0.518312i
$813$	−48.7781	−	23.4903i	−1.71072	−	0.823841i
$814$	4.83826	+	29.5939i	0.169581	+	1.03727i
$815$	11.3698			0.398268
$816$	12.7526	+	63.0982i	0.446430	+	2.20888i
$817$	6.87566	+	5.48315i	0.240549	+	0.191831i
$818$	18.6885	+	1.16664i	0.653427	+	0.0407905i
$819$	57.1004	+	24.6218i	1.99525	+	0.860356i
$820$	4.83893	+	7.91895i	0.168983	+	0.276542i
$821$	50.8392	+	24.4829i	1.77430	+	0.854458i	0.962849	+	0.270039i	$0.0870365\pi$
$821$	50.8392	+	24.4829i	1.77430	+	0.854458i	0.811452	+	0.584420i	$0.198678\pi$
$822$	−3.08369	−	7.57819i	−0.107556	−	0.264320i
$823$	−7.13556	−	5.69042i	−0.248730	−	0.198356i	0.491186	−	0.871055i	$-0.336563\pi$
$823$	−7.13556	−	5.69042i	−0.248730	−	0.198356i	−0.739916	+	0.672699i	$0.765135\pi$
$824$	8.24543	+	30.7765i	0.287243	+	1.07215i
$825$	−32.3292	+	25.7817i	−1.12556	+	0.897604i
$826$	14.3319	−	17.2292i	0.498671	−	0.599480i
$827$	15.7586	+	12.5671i	0.547981	+	0.437000i	0.857940	−	0.513750i	$-0.171744\pi$
$827$	15.7586	+	12.5671i	0.547981	+	0.437000i	−0.309959	+	0.950750i	$0.600315\pi$
$828$	16.4624	−	25.4875i	0.572108	−	0.885752i
$829$	8.92461	+	18.5321i	0.309965	+	0.643648i	0.996513	−	0.0834359i	$-0.0265894\pi$
$829$	8.92461	+	18.5321i	0.309965	+	0.643648i	−0.686549	+	0.727084i	$0.740875\pi$
$830$	−8.22932	+	9.09368i	−0.285644	+	0.315646i
$831$	0.300347	+	1.31591i	0.0104189	+	0.0456483i
$832$	−23.5998	−	16.0924i	−0.818174	−	0.557904i
$833$	−34.6823	+	11.0246i	−1.20167	+	0.381979i
$834$	96.1583	−	15.7208i	3.32969	−	0.544366i
$835$	12.6465	−	2.88648i	0.437650	−	0.0998907i
$836$	−3.44245	+	5.32969i	−0.119060	+	0.184331i
$837$	28.7738	−	13.8567i	0.994567	−	0.478958i
$838$	−32.4215	−	29.3398i	−1.11998	−	1.01353i
$839$	−29.2425	+	36.6689i	−1.00956	+	1.26595i	−0.0458670	+	0.998948i	$0.514605\pi$
$839$	−29.2425	+	36.6689i	−1.00956	+	1.26595i	−0.963695	+	0.267004i	$0.913966\pi$
$840$	21.2198	−	12.3719i	0.732152	−	0.426870i
$841$	−13.1901	−	16.5399i	−0.454831	−	0.570340i
$842$	0.858301	−	13.7492i	0.0295790	−	0.473829i
$843$	−11.5760	+	14.5158i	−0.398698	+	0.499951i
$844$	−2.42652	+	1.48274i	−0.0835242	+	0.0510380i
$845$	0.115635	−	0.240119i	0.00397797	−	0.00826034i
$846$	−8.23748	−	20.2437i	−0.283210	−	0.695992i
$847$	0.0969692	+	2.32479i	0.00333190	+	0.0798807i
$848$	−23.4792	−	52.0415i	−0.806278	−	1.78711i
$849$	5.77259	−	7.23860i	0.198115	−	0.248428i
$850$	−8.05933	+	27.3318i	−0.276433	+	0.937472i
$851$		−	14.1788i		−	0.486043i
$852$	20.4041	+	60.7344i	0.699034	+	2.08073i
$853$	−13.3314	+	27.6830i	−0.456460	+	0.947848i	0.538021	+	0.842931i	$0.319172\pi$
$853$	−13.3314	+	27.6830i	−0.456460	+	0.947848i	−0.994481	+	0.104917i	$0.966542\pi$
$854$	19.1978	−	37.8444i	0.656935	−	1.29501i
$855$	2.78739	+	5.78808i	0.0953268	+	0.197948i
$856$	−14.6564	−	10.8177i	−0.500944	−	0.369740i
$857$	−17.1274	−	3.90922i	−0.585062	−	0.133537i	−0.0802632	−	0.996774i	$-0.525576\pi$
$857$	−17.1274	−	3.90922i	−0.585062	−	0.133537i	−0.504799	+	0.863237i	$0.668433\pi$
$858$	3.35661	−	53.7699i	0.114593	−	1.83567i
$859$	−40.6884	+	19.5945i	−1.38827	+	0.668556i	−0.970746	−	0.240110i	$-0.922817\pi$
$859$	−40.6884	+	19.5945i	−1.38827	+	0.668556i	−0.417525	+	0.908666i	$0.637102\pi$
$860$	−14.5056	+	14.1477i	−0.494636	+	0.482432i
$861$	−21.1589	+	28.9281i	−0.721095	+	0.985867i
$862$	0.617579	−	2.09441i	0.0210348	−	0.0713359i
$863$			17.3152i			0.589417i	0.955587	+	0.294709i	$0.0952226\pi$
$863$			17.3152i			0.589417i	−0.955587	+	0.294709i	$0.904777\pi$
$864$	43.2417	−	45.4485i	1.47111	−	1.54619i
$865$	−12.1893	−	5.87004i	−0.414447	−	0.199587i
$866$	−8.06991	−	4.52610i	−0.274227	−	0.153803i
$867$	−6.90796	+	30.2658i	−0.234607	+	1.02788i
$868$	−5.45076	−	14.2304i	−0.185011	−	0.483012i
$869$	−3.72365	−	16.3144i	−0.126316	−	0.553428i
$870$	−3.67720	+	12.4706i	−0.124669	+	0.422792i
$871$	−12.6099	−	55.2475i	−0.427270	−	1.87199i
$872$	4.80574	−	25.3942i	0.162743	−	0.859957i
$873$	−32.0536	−	7.31603i	−1.08485	−	0.247610i
$874$	2.01299	−	2.22442i	0.0680903	−	0.0752421i
$875$	24.8783	−	1.03770i	0.841041	−	0.0350806i
$876$	−47.5264	−	17.2994i	−1.60577	−	0.584493i
$877$	6.81592	+	8.54689i	0.230157	+	0.288608i	0.883477	−	0.468474i	$-0.155196\pi$
$877$	6.81592	+	8.54689i	0.230157	+	0.288608i	−0.653320	+	0.757082i	$0.726624\pi$
$878$	−14.7396	+	10.3205i	−0.497438	+	0.348302i
$879$	−0.385931	+	0.307770i	−0.0130171	+	0.0103808i
$880$	−11.1981	−	9.39720i	−0.377488	−	0.316780i
$881$		−	25.0430i		−	0.843722i	−0.906661	−	0.421861i	$-0.861377\pi$
$881$		−	25.0430i		−	0.843722i	0.906661	−	0.421861i	$-0.138623\pi$
$882$	51.7896	+	39.5482i	1.74385	+	1.33166i
$883$			5.20547i			0.175178i	0.996157	+	0.0875890i	$0.0279162\pi$
$883$			5.20547i			0.175178i	−0.996157	+	0.0875890i	$0.972084\pi$
$884$	−19.3579	−	31.6794i	−0.651077	−	1.06549i
$885$	−15.3708	+	12.2578i	−0.516684	+	0.412041i
$886$	27.1316	+	38.7489i	0.911504	+	1.30179i
$887$	−17.1600	−	21.5179i	−0.576175	−	0.722501i	0.405280	−	0.914193i	$-0.367174\pi$
$887$	−17.1600	−	21.5179i	−0.576175	−	0.722501i	−0.981455	+	0.191692i	$0.938603\pi$
$888$	10.0158	−	52.9248i	0.336108	−	1.77604i
$889$	8.74768	+	10.0773i	0.293388	+	0.337981i
$890$	14.6478	+	13.2555i	0.490996	+	0.444326i
$891$	48.9971	+	11.1833i	1.64146	+	0.374653i
$892$	−9.18137	+	25.2238i	−0.307415	+	0.844556i
$893$	−0.480856	−	2.10677i	−0.0160912	−	0.0705003i
$894$	−24.9506	−	7.35720i	−0.834474	−	0.246061i
$895$	2.38797	+	10.4624i	0.0798210	+	0.349719i
$896$	−19.9007	−	22.3599i	−0.664835	−	0.746991i
$897$	−5.66845	+	24.8351i	−0.189264	+	0.829220i
$898$	0.475069	−	0.847035i	0.0158532	−	0.0282659i
$899$	7.26717	+	3.49968i	0.242374	+	0.116721i
$900$	48.3662	−	16.2490i	1.61221	−	0.541632i
$901$		−	74.2051i		−	2.47213i
$902$	20.4595	+	6.03289i	0.681226	+	0.200873i
$903$	−71.8573	−	30.9850i	−2.39126	−	1.03112i
$904$	−5.06257	+	6.85905i	−0.168379	+	0.228129i
$905$	13.9601	−	6.72281i	0.464048	−	0.223474i
$906$	−14.0214	−	0.875295i	−0.465831	−	0.0290797i
$907$	−50.0163	−	11.4159i	−1.66076	−	0.379059i	−0.713788	−	0.700362i	$-0.753022\pi$
$907$	−50.0163	−	11.4159i	−1.66076	−	0.379059i	−0.946976	+	0.321303i	$0.895879\pi$
$908$	23.2492	−	22.6756i	0.771552	−	0.752516i
$909$	−0.0411610	−	0.0854716i	−0.00136522	−	0.00283491i
$910$	−9.05921	+	10.8906i	−0.300310	+	0.361019i
$911$	9.12378	−	18.9457i	0.302284	−	0.627700i	−0.693395	−	0.720558i	$-0.743886\pi$
$911$	9.12378	−	18.9457i	0.302284	−	0.627700i	0.995679	+	0.0928579i	$0.0296002\pi$
$912$	9.08513	−	6.88107i	0.300839	−	0.227855i
$913$			28.1891i			0.932925i
$914$	29.0026	+	8.55200i	0.959320	+	0.282875i
$915$	−23.2103	+	29.1047i	−0.767308	+	0.962173i
$916$	18.4659	−	1.84737i	0.610132	−	0.0610389i
$917$	−1.80647	−	3.38283i	−0.0596549	−	0.111711i
$918$	75.5224	−	30.7313i	2.49261	−	1.01428i
$919$	11.0623	−	22.9711i	0.364912	−	0.757748i	−0.634978	−	0.772530i	$-0.718991\pi$
$919$	11.0623	−	22.9711i	0.364912	−	0.757748i	0.999891	+	0.0147817i	$0.00470533\pi$
$920$	4.50857	+	5.23941i	0.148643	+	0.172738i
$921$	−26.8608	+	33.6824i	−0.885094	+	1.10987i
$922$	14.8998	+	0.930125i	0.490698	+	0.0306320i
$923$	−23.0383	−	28.8891i	−0.758313	−	0.950895i
$924$	17.0829	−	53.8102i	0.561985	−	1.77023i
$925$	14.8659	−	18.6413i	0.488788	−	0.612921i
$926$	−10.2917	+	11.3727i	−0.338208	+	0.373731i
$927$	66.8075	−	32.1728i	2.19425	−	1.05669i
$928$	15.7836	+	1.38179i	0.518121	+	0.0453594i
$929$	−3.32913	+	0.759851i	−0.109225	+	0.0249299i	−0.276784	−	0.960932i	$-0.589269\pi$
$929$	−3.32913	+	0.759851i	−0.109225	+	0.0249299i	0.167559	+	0.985862i	$0.446412\pi$
$930$	2.15690	+	13.1930i	0.0707275	+	0.432614i
$931$	4.42266	+	4.68528i	0.144947	+	0.153554i
$932$	−37.1134	+	12.4685i	−1.21569	+	0.408420i
$933$	−12.0942	−	52.9881i	−0.395946	−	1.73475i
$934$	5.12375	+	4.63673i	0.167654	+	0.151719i
$935$	−8.24390	−	17.1186i	−0.269604	−	0.559839i
$936$	−26.5853	+	60.9286i	−0.868969	+	1.99151i
$937$	45.1045	+	35.9697i	1.47350	+	1.17508i	0.945407	+	0.325893i	$0.105665\pi$
$937$	45.1045	+	35.9697i	1.47350	+	1.17508i	0.528095	+	0.849186i	$0.322907\pi$
$938$	1.22666	−	59.3717i	0.0400519	−	1.93855i
$939$	31.5572	−	25.1660i	1.02983	−	0.821261i
$940$	4.95420	−	0.495629i	0.161588	−	0.0161656i
$941$	−11.0556	−	8.81655i	−0.360402	−	0.287411i	0.426501	−	0.904487i	$-0.359746\pi$
$941$	−11.0556	−	8.81655i	−0.360402	−	0.287411i	−0.786904	+	0.617075i	$0.788317\pi$
$942$	37.8200	−	15.3896i	1.23224	−	0.501419i
$943$	−9.08695	−	4.37604i	−0.295912	−	0.142504i
$944$	18.3524	+	15.4009i	0.597320	+	0.501257i
$945$	−20.3944	−	23.4943i	−0.663430	−	0.764269i
$946$	−2.90165	+	46.4818i	−0.0943406	+	1.51125i
$947$	−4.92240	−	3.92548i	−0.159957	−	0.127561i	0.540241	−	0.841511i	$-0.318333\pi$
$947$	−4.92240	−	3.92548i	−0.159957	−	0.127561i	−0.700197	+	0.713949i	$0.746905\pi$
$948$	−3.73828	+	29.8252i	−0.121414	+	0.968679i
$949$	29.1686			0.946854
$950$	4.97874	−	0.813968i	0.161532	−	0.0264086i
$951$	2.01367	+	0.969734i	0.0652978	+	0.0314458i
$952$	−11.6255	−	37.1275i	−0.376783	−	1.20331i
$953$	−10.8681	+	5.23382i	−0.352054	+	0.169540i	−0.601549	−	0.798836i	$-0.705450\pi$
$953$	−10.8681	+	5.23382i	−0.352054	+	0.169540i	0.249495	+	0.968376i	$0.419735\pi$
$954$	−108.841	+	76.2095i	−3.52386	+	2.46737i
$955$	−1.18729	+	5.20185i	−0.0384197	+	0.168328i
$956$	36.2403	−	3.62556i	1.17210	−	0.117259i
$957$	12.9658	+	26.9237i	0.419124	+	0.870320i
$958$	−23.5647	+	16.4998i	−0.761340	+	0.533083i
$959$	2.32918	+	4.36166i	0.0752132	+	0.140845i
$960$	13.1279	+	22.7418i	0.423702	+	0.733990i
$961$	−22.7066			−0.732470
$962$	5.01214	+	30.6575i	0.161598	+	0.988436i
$963$	−18.3940	+	38.1955i	−0.592737	+	1.23083i
$964$	−15.4786	−	5.63414i	−0.498531	−	0.181463i
$965$	−4.24598	−	0.969116i	−0.136683	−	0.0311970i
$966$	−12.0767	+	23.8067i	−0.388563	+	0.765969i
$967$	−58.6215	+	13.3800i	−1.88514	+	0.430271i	−0.999423	−	0.0339541i	$-0.989190\pi$
$967$	−58.6215	+	13.3800i	−1.88514	+	0.430271i	−0.885717	+	0.464225i	$0.846333\pi$
$968$	−2.48573	+	0.0929245i	−0.0798944	+	0.00298671i
$969$	14.4414	−	3.29616i	0.463925	−	0.105888i
$970$	3.66391	−	6.53265i	0.117641	−	0.209751i
$971$	10.4308	−	45.7005i	0.334742	−	1.46660i	−0.475090	−	0.879937i	$-0.657585\pi$
$971$	10.4308	−	45.7005i	0.334742	−	1.46660i	0.809832	−	0.586662i	$-0.199558\pi$
$972$	−19.9393	−	12.8788i	−0.639554	−	0.413088i
$973$	−56.8134	+	15.4844i	−1.82135	+	0.496408i
$974$	−32.3045	−	18.1184i	−1.03510	−	0.580550i
$975$	−33.4911	+	26.7083i	−1.07257	+	0.855349i
$976$	40.3683	+	20.6979i	1.29216	+	0.662525i
$977$	−18.5899	−	23.3109i	−0.594742	−	0.745783i	0.389806	−	0.920897i	$-0.372542\pi$
$977$	−18.5899	−	23.3109i	−0.594742	−	0.745783i	−0.984548	+	0.175114i	$0.943971\pi$
$978$	−43.4798	+	17.6926i	−1.39033	+	0.565748i
$979$	45.4062			1.45119
$980$	−11.9786	+	8.76836i	−0.382642	+	0.280095i
$981$	−60.1477			−1.92037
$982$	−7.09119	+	2.88552i	−0.226289	+	0.0920806i
$983$	−24.9565	−	31.2944i	−0.795987	−	0.998137i	−0.999817	−	0.0191301i	$-0.993910\pi$
$983$	−24.9565	−	31.2944i	−0.795987	−	0.998137i	0.203830	−	0.979006i	$-0.434661\pi$
$984$	−30.8274	−	22.7533i	−0.982742	−	0.725348i
$985$	4.85490	−	3.87166i	0.154690	−	0.123361i
$986$	17.9607	+	10.0735i	0.571986	+	0.320805i
$987$	9.05765	+	16.9615i	0.288308	+	0.539891i
$988$	−3.56617	+	5.52123i	−0.113455	+	0.175654i
$989$	4.90013	−	21.4689i	0.155815	−	0.682670i
$990$	−16.6424	+	29.6729i	−0.528929	+	0.943066i
$991$	−36.3134	+	8.28829i	−1.15353	+	0.263286i	−0.756170	−	0.654376i	$-0.772932\pi$
$991$	−36.3134	+	8.28829i	−1.15353	+	0.263286i	−0.397362	+	0.917662i	$0.630074\pi$
$992$	15.2380	−	5.76132i	0.483807	−	0.182922i
$993$	67.3933	−	15.3821i	2.13866	−	0.488135i
$994$	−16.0764	−	35.2264i	−0.509913	−	1.11731i
$995$	2.29844	+	0.524603i	0.0728653	+	0.0166310i
$996$	17.3193	−	47.5811i	0.548784	−	1.50766i
$997$	−20.6271	+	42.8327i	−0.653268	+	1.35653i	0.266413	+	0.963859i	$0.414162\pi$
$997$	−20.6271	+	42.8327i	−0.653268	+	1.35653i	−0.919681	+	0.392667i	$0.871553\pi$
$998$	2.93973	+	17.9813i	0.0930556	+	0.569187i
$999$	−68.2239			−2.15851

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.j.a.111.16	yes	156
4.3	odd	2	inner	196.2.j.a.111.14	yes	156
49.34	odd	14	inner	196.2.j.a.83.14	✓	156
196.83	even	14	inner	196.2.j.a.83.16	yes	156

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.j.a.83.14	✓	156	49.34	odd	14	inner
196.2.j.a.83.16	yes	156	196.83	even	14	inner
196.2.j.a.111.14	yes	156	4.3	odd	2	inner
196.2.j.a.111.16	yes	156	1.1	even	1	trivial

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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	196.2.j.a.111.16

Level	$196$
Weight	$2$
Character	196.111
Analytic conductor	$1.565$
Analytic rank	$0$
Dimension	$156$
Inner twists	$4$