LMFDB - Embedded newform 950.2.h.d.191.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$44$
Relative dimension:	$11$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.10
Character	$\chi$	$=$	950.191
Dual form			950.2.h.d.761.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(0.611239 + 1.88120i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.16649 - 0.553476i) q^{5} +(-0.611239 + 1.88120i) q^{6} +2.35142 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.738252 + 0.536372i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(0.611239 + 1.88120i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.16649 - 0.553476i) q^{5} +(-0.611239 + 1.88120i) q^{6} +2.35142 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.738252 + 0.536372i) q^{9} +(2.07805 + 0.825657i) q^{10} +(-2.31618 - 1.68280i) q^{11} +(-1.60024 + 1.16265i) q^{12} +(-0.514580 + 0.373864i) q^{13} +(1.90234 + 1.38213i) q^{14} +(2.36544 + 3.73729i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.52408 + 4.69064i) q^{17} -0.912530 q^{18} +(-0.309017 + 0.951057i) q^{19} +(1.19587 + 1.88942i) q^{20} +(1.43728 + 4.42349i) q^{21} +(-0.884703 - 2.72284i) q^{22} +(1.67555 + 1.21736i) q^{23} -1.97801 q^{24} +(4.38733 - 2.39820i) q^{25} -0.636056 q^{26} +(3.34046 + 2.42699i) q^{27} +(0.726629 + 2.23633i) q^{28} +(-0.148151 - 0.455963i) q^{29} +(-0.283042 + 4.41390i) q^{30} +(3.13614 - 9.65205i) q^{31} -1.00000 q^{32} +(1.74995 - 5.38580i) q^{33} +(-3.99009 + 2.89897i) q^{34} +(5.09432 - 1.30145i) q^{35} +(-0.738252 - 0.536372i) q^{36} +(3.88086 - 2.81961i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-1.01785 - 0.739508i) q^{39} +(-0.143094 + 2.23148i) q^{40} +(-7.46687 + 5.42500i) q^{41} +(-1.43728 + 4.42349i) q^{42} -11.6254 q^{43} +(0.884703 - 2.72284i) q^{44} +(-1.30254 + 1.57065i) q^{45} +(0.640005 + 1.96973i) q^{46} +(0.509664 + 1.56858i) q^{47} +(-1.60024 - 1.16265i) q^{48} -1.47082 q^{49} +(4.95905 + 0.638625i) q^{50} -9.75561 q^{51} +(-0.514580 - 0.373864i) q^{52} +(-0.610747 - 1.87969i) q^{53} +(1.27594 + 3.92695i) q^{54} +(-5.94937 - 2.36382i) q^{55} +(-0.726629 + 2.23633i) q^{56} -1.97801 q^{57} +(0.148151 - 0.455963i) q^{58} +(7.34133 - 5.33379i) q^{59} +(-2.82341 + 3.40455i) q^{60} +(-4.78506 - 3.47655i) q^{61} +(8.21052 - 5.96529i) q^{62} +(-1.73594 + 1.26123i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-0.907906 + 1.09478i) q^{65} +(4.58143 - 3.32861i) q^{66} +(-3.85046 + 11.8505i) q^{67} -4.93203 q^{68} +(-1.26594 + 3.89615i) q^{69} +(4.88637 + 1.94147i) q^{70} +(-2.82063 - 8.68100i) q^{71} +(-0.281987 - 0.867867i) q^{72} +(7.07380 + 5.13941i) q^{73} +4.79700 q^{74} +(7.19320 + 6.78757i) q^{75} -1.00000 q^{76} +(-5.44632 - 3.95698i) q^{77} +(-0.388782 - 1.19655i) q^{78} +(-4.04849 - 12.4600i) q^{79} +(-1.42740 + 1.72120i) q^{80} +(-3.36979 + 10.3712i) q^{81} -9.22956 q^{82} +(2.07839 - 6.39663i) q^{83} +(-3.76285 + 2.73387i) q^{84} +(-0.705744 + 11.0057i) q^{85} +(-9.40514 - 6.83324i) q^{86} +(0.767202 - 0.557405i) q^{87} +(2.31618 - 1.68280i) q^{88} +(8.47011 + 6.15389i) q^{89} +(-1.97698 + 0.505063i) q^{90} +(-1.20999 + 0.879112i) q^{91} +(-0.640005 + 1.96973i) q^{92} +20.0744 q^{93} +(-0.509664 + 1.56858i) q^{94} +(-0.143094 + 2.23148i) q^{95} +(-0.611239 - 1.88120i) q^{96} +(0.486019 + 1.49581i) q^{97} +(-1.18992 - 0.864529i) q^{98} +2.61253 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8}+O(q^{10}) $ 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8} - 4 q^{10} + 7 q^{11} + 4 q^{12} + 10 q^{13} - 5 q^{14} - 20 q^{15} - 11 q^{16} + 11 q^{17} - 50 q^{18} + 11 q^{19} + 4 q^{20} + 9 q^{21} + 8 q^{22} - 7 q^{23} + 6 q^{24} - 3 q^{25} + 10 q^{26} + 5 q^{27} - 20 q^{29} - 10 q^{30} - 11 q^{31} - 44 q^{32} - 2 q^{33} - q^{34} + 5 q^{35} + 43 q^{37} - 11 q^{38} - 33 q^{39} - 4 q^{40} - 32 q^{41} - 9 q^{42} - 74 q^{43} - 8 q^{44} + 10 q^{45} - 8 q^{46} - 19 q^{47} + 4 q^{48} + 54 q^{49} + 18 q^{50} + 34 q^{51} + 10 q^{52} + 23 q^{53} - 40 q^{54} + 2 q^{55} + 6 q^{57} + 20 q^{58} + 24 q^{59} - 35 q^{60} - 12 q^{61} + q^{62} - 44 q^{63} - 11 q^{64} + 43 q^{65} - 8 q^{66} + 35 q^{67} - 24 q^{68} + 29 q^{69} - 5 q^{70} - 2 q^{71} + 25 q^{72} + 22 q^{73} + 72 q^{74} + 7 q^{75} - 44 q^{76} - 3 q^{77} - 22 q^{78} - 19 q^{79} - q^{80} - 26 q^{81} - 58 q^{82} - 24 q^{83} - 21 q^{84} - 18 q^{85} - 6 q^{86} + 83 q^{87} - 7 q^{88} - 8 q^{89} + 60 q^{90} - 30 q^{91} + 8 q^{92} - 72 q^{93} + 19 q^{94} - 4 q^{95} + q^{96} - 16 q^{97} + q^{98} + 84 q^{99}+O(q^{100}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8 - 4 * q^10 + 7 * q^11 + 4 * q^12 + 10 * q^13 - 5 * q^14 - 20 * q^15 - 11 * q^16 + 11 * q^17 - 50 * q^18 + 11 * q^19 + 4 * q^20 + 9 * q^21 + 8 * q^22 - 7 * q^23 + 6 * q^24 - 3 * q^25 + 10 * q^26 + 5 * q^27 - 20 * q^29 - 10 * q^30 - 11 * q^31 - 44 * q^32 - 2 * q^33 - q^34 + 5 * q^35 + 43 * q^37 - 11 * q^38 - 33 * q^39 - 4 * q^40 - 32 * q^41 - 9 * q^42 - 74 * q^43 - 8 * q^44 + 10 * q^45 - 8 * q^46 - 19 * q^47 + 4 * q^48 + 54 * q^49 + 18 * q^50 + 34 * q^51 + 10 * q^52 + 23 * q^53 - 40 * q^54 + 2 * q^55 + 6 * q^57 + 20 * q^58 + 24 * q^59 - 35 * q^60 - 12 * q^61 + q^62 - 44 * q^63 - 11 * q^64 + 43 * q^65 - 8 * q^66 + 35 * q^67 - 24 * q^68 + 29 * q^69 - 5 * q^70 - 2 * q^71 + 25 * q^72 + 22 * q^73 + 72 * q^74 + 7 * q^75 - 44 * q^76 - 3 * q^77 - 22 * q^78 - 19 * q^79 - q^80 - 26 * q^81 - 58 * q^82 - 24 * q^83 - 21 * q^84 - 18 * q^85 - 6 * q^86 + 83 * q^87 - 7 * q^88 - 8 * q^89 + 60 * q^90 - 30 * q^91 + 8 * q^92 - 72 * q^93 + 19 * q^94 - 4 * q^95 + q^96 - 16 * q^97 + q^98 + 84 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$

Coefficient data

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

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

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

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	0.611239	+	1.88120i	0.352899	+	1.08611i	0.957218	+	0.289369i	$0.0934454\pi$
$3$	0.611239	+	1.88120i	0.352899	+	1.08611i	−0.604319	+	0.796743i	$0.706555\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	2.16649	−	0.553476i	0.968882	−	0.247522i
$5$	2.16649	−	0.553476i	0.968882	−	0.247522i
$6$	−0.611239	+	1.88120i	−0.249537	+	0.767997i
$7$	2.35142			0.888753			0.444377	−	0.895840i	$-0.353425\pi$
$7$	2.35142			0.888753			0.444377	+	0.895840i	$0.353425\pi$
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−0.738252	+	0.536372i	−0.246084	+	0.178791i
$10$	2.07805	+	0.825657i	0.657137	+	0.261096i
$11$	−2.31618	−	1.68280i	−0.698355	−	0.507385i	0.181041	−	0.983476i	$-0.442053\pi$
$11$	−2.31618	−	1.68280i	−0.698355	−	0.507385i	−0.879396	+	0.476091i	$0.842053\pi$
$12$	−1.60024	+	1.16265i	−0.461951	+	0.335627i
$13$	−0.514580	+	0.373864i	−0.142719	+	0.103691i	−0.656854	−	0.754018i	$-0.728113\pi$
$13$	−0.514580	+	0.373864i	−0.142719	+	0.103691i	0.514135	+	0.857709i	$0.328113\pi$
$14$	1.90234	+	1.38213i	0.508421	+	0.369390i
$15$	2.36544	+	3.73729i	0.610754	+	0.964964i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−1.52408	+	4.69064i	−0.369644	+	1.13765i	0.577378	+	0.816477i	$0.304076\pi$
$17$	−1.52408	+	4.69064i	−0.369644	+	1.13765i	−0.947022	+	0.321169i	$0.895924\pi$
$18$	−0.912530			−0.215085
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$20$	1.19587	+	1.88942i	0.267404	+	0.422487i
$21$	1.43728	+	4.42349i	0.313640	+	0.965285i
$22$	−0.884703	−	2.72284i	−0.188619	−	0.580510i
$23$	1.67555	+	1.21736i	0.349377	+	0.253837i	0.748608	−	0.663013i	$-0.230723\pi$
$23$	1.67555	+	1.21736i	0.349377	+	0.253837i	−0.399231	+	0.916851i	$0.630723\pi$
$24$	−1.97801			−0.403760
$25$	4.38733	−	2.39820i	0.877466	−	0.479639i
$26$	−0.636056			−0.124741
$27$	3.34046	+	2.42699i	0.642873	+	0.467074i
$28$	0.726629	+	2.23633i	0.137320	+	0.422627i
$29$	−0.148151	−	0.455963i	−0.0275110	−	0.0846702i	0.936358	−	0.351046i	$-0.114174\pi$
$29$	−0.148151	−	0.455963i	−0.0275110	−	0.0846702i	−0.963869	+	0.266376i	$0.914174\pi$
$30$	−0.283042	+	4.41390i	−0.0516761	+	0.805865i
$31$	3.13614	−	9.65205i	0.563267	−	1.73356i	−0.109777	−	0.993956i	$-0.535014\pi$
$31$	3.13614	−	9.65205i	0.563267	−	1.73356i	0.673044	−	0.739602i	$-0.264986\pi$
$32$	−1.00000			−0.176777
$33$	1.74995	−	5.38580i	0.304628	−	0.937547i
$34$	−3.99009	+	2.89897i	−0.684295	+	0.497170i
$35$	5.09432	−	1.30145i	0.861097	−	0.219986i
$36$	−0.738252	−	0.536372i	−0.123042	−	0.0893953i
$37$	3.88086	−	2.81961i	0.638009	−	0.463541i	−0.221157	−	0.975238i	$-0.570983\pi$
$37$	3.88086	−	2.81961i	0.638009	−	0.463541i	0.859166	+	0.511698i	$0.170983\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	−1.01785	−	0.739508i	−0.162986	−	0.118416i
$40$	−0.143094	+	2.23148i	−0.0226252	+	0.352829i
$41$	−7.46687	+	5.42500i	−1.16613	+	0.847242i	−0.990540	−	0.137221i	$-0.956183\pi$
$41$	−7.46687	+	5.42500i	−1.16613	+	0.847242i	−0.175589	+	0.984464i	$0.556183\pi$
$42$	−1.43728	+	4.42349i	−0.221777	+	0.682560i
$43$	−11.6254			−1.77286			−0.886428	−	0.462866i	$-0.846821\pi$
$43$	−11.6254			−1.77286			−0.886428	+	0.462866i	$0.846821\pi$
$44$	0.884703	−	2.72284i	0.133374	−	0.410483i
$45$	−1.30254	+	1.57065i	−0.194172	+	0.234138i
$46$	0.640005	+	1.96973i	0.0943635	+	0.290421i
$47$	0.509664	+	1.56858i	0.0743422	+	0.228802i	0.981322	−	0.192372i	$-0.0616182\pi$
$47$	0.509664	+	1.56858i	0.0743422	+	0.228802i	−0.906980	+	0.421174i	$0.861618\pi$
$48$	−1.60024	−	1.16265i	−0.230975	−	0.167814i
$49$	−1.47082			−0.210118
$50$	4.95905	+	0.638625i	0.701315	+	0.0903152i
$51$	−9.75561			−1.36606
$52$	−0.514580	−	0.373864i	−0.0713594	−	0.0518457i
$53$	−0.610747	−	1.87969i	−0.0838925	−	0.258195i	0.900308	−	0.435254i	$-0.143341\pi$
$53$	−0.610747	−	1.87969i	−0.0838925	−	0.258195i	−0.984200	+	0.177060i	$0.943341\pi$
$54$	1.27594	+	3.92695i	0.173634	+	0.534390i
$55$	−5.94937	−	2.36382i	−0.802213	−	0.318738i
$56$	−0.726629	+	2.23633i	−0.0970998	+	0.298843i
$57$	−1.97801			−0.261994
$58$	0.148151	−	0.455963i	0.0194532	−	0.0598709i
$59$	7.34133	−	5.33379i	0.955760	−	0.694401i	0.00359811	−	0.999994i	$-0.498855\pi$
$59$	7.34133	−	5.33379i	0.955760	−	0.694401i	0.952162	+	0.305593i	$0.0988547\pi$
$60$	−2.82341	+	3.40455i	−0.364501	+	0.439526i
$61$	−4.78506	−	3.47655i	−0.612664	−	0.445127i	0.237687	−	0.971342i	$-0.423611\pi$
$61$	−4.78506	−	3.47655i	−0.612664	−	0.445127i	−0.850352	+	0.526215i	$0.823611\pi$
$62$	8.21052	−	5.96529i	1.04274	−	0.757593i
$63$	−1.73594	+	1.26123i	−0.218708	+	0.158901i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−0.907906	+	1.09478i	−0.112612	+	0.135791i
$66$	4.58143	−	3.32861i	0.563936	−	0.409723i
$67$	−3.85046	+	11.8505i	−0.470408	+	1.44777i	0.381643	+	0.924310i	$0.375358\pi$
$67$	−3.85046	+	11.8505i	−0.470408	+	1.44777i	−0.852052	+	0.523458i	$0.824642\pi$
$68$	−4.93203			−0.598096
$69$	−1.26594	+	3.89615i	−0.152401	+	0.469042i
$70$	4.88637	+	1.94147i	0.584033	+	0.232050i
$71$	−2.82063	−	8.68100i	−0.334747	−	1.03024i	−0.966847	−	0.255358i	$-0.917807\pi$
$71$	−2.82063	−	8.68100i	−0.334747	−	1.03024i	0.632100	−	0.774887i	$-0.282193\pi$
$72$	−0.281987	−	0.867867i	−0.0332325	−	0.102279i
$73$	7.07380	+	5.13941i	0.827925	+	0.601523i	0.918972	−	0.394324i	$-0.129021\pi$
$73$	7.07380	+	5.13941i	0.827925	+	0.601523i	−0.0910464	+	0.995847i	$0.529021\pi$
$74$	4.79700			0.557640
$75$	7.19320	+	6.78757i	0.830599	+	0.783762i
$76$	−1.00000			−0.114708
$77$	−5.44632	−	3.95698i	−0.620665	−	0.450940i
$78$	−0.388782	−	1.19655i	−0.0440209	−	0.135483i
$79$	−4.04849	−	12.4600i	−0.455491	−	1.40186i	−0.870558	−	0.492066i	$-0.836242\pi$
$79$	−4.04849	−	12.4600i	−0.455491	−	1.40186i	0.415067	−	0.909791i	$-0.363758\pi$
$80$	−1.42740	+	1.72120i	−0.159588	+	0.192436i
$81$	−3.36979	+	10.3712i	−0.374421	+	1.15235i
$82$	−9.22956			−1.01923
$83$	2.07839	−	6.39663i	0.228133	−	0.702121i	−0.769825	−	0.638254i	$-0.779657\pi$
$83$	2.07839	−	6.39663i	0.228133	−	0.702121i	0.997958	−	0.0638666i	$-0.0203432\pi$
$84$	−3.76285	+	2.73387i	−0.410560	+	0.298290i
$85$	−0.705744	+	11.0057i	−0.0765487	+	1.19374i
$86$	−9.40514	−	6.83324i	−1.01418	−	0.736847i
$87$	0.767202	−	0.557405i	0.0822527	−	0.0597601i
$88$	2.31618	−	1.68280i	0.246906	−	0.179388i
$89$	8.47011	+	6.15389i	0.897830	+	0.652311i	0.937908	−	0.346885i	$-0.112761\pi$
$89$	8.47011	+	6.15389i	0.897830	+	0.652311i	−0.0400780	+	0.999197i	$0.512761\pi$
$90$	−1.97698	+	0.505063i	−0.208392	+	0.0532384i
$91$	−1.20999	+	0.879112i	−0.126842	+	0.0921560i
$92$	−0.640005	+	1.96973i	−0.0667251	+	0.205359i
$93$	20.0744			2.08162
$94$	−0.509664	+	1.56858i	−0.0525678	+	0.161787i
$95$	−0.143094	+	2.23148i	−0.0146812	+	0.228946i
$96$	−0.611239	−	1.88120i	−0.0623843	−	0.191999i
$97$	0.486019	+	1.49581i	0.0493477	+	0.151877i	0.972694	−	0.232092i	$-0.0745570\pi$
$97$	0.486019	+	1.49581i	0.0493477	+	0.151877i	−0.923346	+	0.383969i	$0.874557\pi$
$98$	−1.18992	−	0.864529i	−0.120200	−	0.0873306i
$99$	2.61253			0.262570
$100$	3.63658	+	3.43151i	0.363658	+	0.343151i
$101$	−17.4254			−1.73389			−0.866944	−	0.498405i	$-0.833919\pi$
$101$	−17.4254			−1.73389			−0.866944	+	0.498405i	$0.833919\pi$
$102$	−7.89245	−	5.73420i	−0.781469	−	0.567771i
$103$	−6.02429	−	18.5409i	−0.593591	−	1.82688i	−0.561619	−	0.827396i	$-0.689821\pi$
$103$	−6.02429	−	18.5409i	−0.593591	−	1.82688i	−0.0319723	−	0.999489i	$-0.510179\pi$
$104$	−0.196552	−	0.604925i	−0.0192735	−	0.0593178i
$105$	5.56215	+	8.78794i	0.542810	+	0.857615i
$106$	0.610747	−	1.87969i	0.0593210	−	0.182571i
$107$	10.5400			1.01894			0.509469	−	0.860489i	$-0.329842\pi$
$107$	10.5400			1.01894			0.509469	+	0.860489i	$0.329842\pi$
$108$	−1.27594	+	3.92695i	−0.122778	+	0.377871i
$109$	2.04567	−	1.48627i	0.195940	−	0.142359i	−0.485490	−	0.874242i	$-0.661359\pi$
$109$	2.04567	−	1.48627i	0.195940	−	0.142359i	0.681429	+	0.731884i	$0.261359\pi$
$110$	−3.42372	−	5.40932i	−0.326439	−	0.515759i
$111$	7.67638	+	5.57722i	0.728610	+	0.529366i
$112$	−1.90234	+	1.38213i	−0.179754	+	0.130599i
$113$	2.34179	−	1.70141i	0.220297	−	0.160055i	−0.472164	−	0.881511i	$-0.656527\pi$
$113$	2.34179	−	1.70141i	0.220297	−	0.160055i	0.692460	+	0.721456i	$0.256527\pi$
$114$	−1.60024	−	1.16265i	−0.149877	−	0.108892i
$115$	4.30384	+	1.71002i	0.401336	+	0.159460i
$116$	0.387865	−	0.281801i	0.0360124	−	0.0261645i
$117$	0.179360	−	0.552012i	0.0165818	−	0.0510336i
$118$	9.07439			0.835365
$119$	−3.58375	+	11.0297i	−0.328522	+	1.01109i
$120$	−4.28534	+	1.09478i	−0.391196	+	0.0999395i
$121$	−0.866320	−	2.66626i	−0.0787563	−	0.242387i
$122$	−1.82773	−	5.62518i	−0.165475	−	0.509280i
$123$	−14.7696	−	10.7307i	−1.33173	−	0.967555i
$124$	10.1488			0.911386
$125$	8.17774	−	7.62394i	0.731440	−	0.681906i
$126$	−2.14574			−0.191158
$127$	−16.1633	−	11.7433i	−1.43426	−	1.04205i	−0.989204	−	0.146546i	$-0.953184\pi$
$127$	−16.1633	−	11.7433i	−1.43426	−	1.04205i	−0.445054	−	0.895504i	$-0.646816\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	−7.10590	−	21.8697i	−0.625639	−	1.92552i
$130$	−1.37801	+	0.352042i	−0.120859	+	0.0308761i
$131$	−3.22320	+	9.92000i	−0.281613	+	0.866714i	0.705781	+	0.708430i	$0.250596\pi$
$131$	−3.22320	+	9.92000i	−0.281613	+	0.866714i	−0.987394	+	0.158284i	$0.949404\pi$
$132$	5.66296			0.492898
$133$	−0.726629	+	2.23633i	−0.0630067	+	0.193915i
$134$	−10.0806	+	7.32400i	−0.870834	+	0.632698i
$135$	8.58035	+	3.40917i	0.738479	+	0.293415i
$136$	−3.99009	−	2.89897i	−0.342148	−	0.248585i
$137$	0.565503	−	0.410862i	0.0483142	−	0.0351023i	−0.563366	−	0.826207i	$-0.690494\pi$
$137$	0.565503	−	0.410862i	0.0483142	−	0.0351023i	0.611680	+	0.791105i	$0.290494\pi$
$138$	−3.31426	+	2.40795i	−0.282129	+	0.204979i
$139$	0.826389	+	0.600407i	0.0700934	+	0.0509258i	0.622280	−	0.782795i	$-0.286206\pi$
$139$	0.826389	+	0.600407i	0.0700934	+	0.0509258i	−0.552187	+	0.833720i	$0.686206\pi$
$140$	2.81199	+	4.44281i	0.237656	+	0.375486i
$141$	−2.63930	+	1.91756i	−0.222269	+	0.161488i
$142$	2.82063	−	8.68100i	0.236702	−	0.728493i
$143$	1.82100			0.152280
$144$	0.281987	−	0.867867i	0.0234989	−	0.0723223i
$145$	−0.573332	−	0.905839i	−0.0476127	−	0.0752258i
$146$	2.70195	+	8.31575i	0.223615	+	0.688216i
$147$	−0.899025	−	2.76692i	−0.0741504	−	0.228211i
$148$	3.88086	+	2.81961i	0.319005	+	0.231770i
$149$	15.4040			1.26195			0.630974	−	0.775804i	$-0.282655\pi$
$149$	15.4040			1.26195			0.630974	+	0.775804i	$0.282655\pi$
$150$	1.82978	+	9.71932i	0.149401	+	0.793579i
$151$	10.1436			0.825472			0.412736	−	0.910851i	$-0.364573\pi$
$151$	10.1436			0.825472			0.412736	+	0.910851i	$0.364573\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	−1.39077	−	4.28035i	−0.112437	−	0.346045i
$154$	−2.08031	−	6.40253i	−0.167636	−	0.515930i
$155$	1.45223	−	22.6468i	0.116646	−	1.81904i
$156$	0.388782	−	1.19655i	0.0311275	−	0.0958006i
$157$	0.779324			0.0621968			0.0310984	−	0.999516i	$-0.490099\pi$
$157$	0.779324			0.0621968			0.0310984	+	0.999516i	$0.490099\pi$
$158$	4.04849	−	12.4600i	0.322081	−	0.991262i
$159$	3.16275	−	2.29787i	0.250823	−	0.182233i
$160$	−2.16649	+	0.553476i	−0.171276	+	0.0437561i
$161$	3.93993	+	2.86253i	0.310510	+	0.225599i
$162$	−8.82223	+	6.40973i	−0.693140	+	0.503596i
$163$	6.16852	−	4.48169i	0.483155	−	0.351033i	−0.319391	−	0.947623i	$-0.603478\pi$
$163$	6.16852	−	4.48169i	0.483155	−	0.351033i	0.802546	+	0.596590i	$0.203478\pi$
$164$	−7.46687	−	5.42500i	−0.583065	−	0.423621i
$165$	0.810337	−	12.6368i	0.0630847	−	0.983775i
$166$	5.44130	−	3.95333i	0.422326	−	0.306838i
$167$	4.73611	−	14.5763i	0.366492	−	1.12794i	−0.582550	−	0.812795i	$-0.697945\pi$
$167$	4.73611	−	14.5763i	0.366492	−	1.12794i	0.949042	−	0.315150i	$-0.102055\pi$
$168$	−4.65114			−0.358843
$169$	−3.89220	+	11.9790i	−0.299400	+	0.921459i
$170$	−7.03997	+	8.48901i	−0.539941	+	0.651077i
$171$	−0.281987	−	0.867867i	−0.0215641	−	0.0663675i
$172$	−3.59244	−	11.0564i	−0.273921	−	0.843043i
$173$	15.5632	+	11.3074i	1.18325	+	0.859683i	0.992535	−	0.121962i	$-0.0389187\pi$
$173$	15.5632	+	11.3074i	1.18325	+	0.859683i	0.190717	+	0.981645i	$0.438919\pi$
$174$	0.948313			0.0718915
$175$	10.3165	−	5.63917i	0.779850	−	0.426281i
$176$	2.86296			0.215804
$177$	14.5212	+	10.5503i	1.09148	+	0.793009i
$178$	3.23529	+	9.95721i	0.242495	+	0.746324i
$179$	1.70324	+	5.24204i	0.127306	+	0.391808i	0.994314	−	0.106486i	$-0.0339599\pi$
$179$	1.70324	+	5.24204i	0.127306	+	0.391808i	−0.867008	+	0.498294i	$0.833960\pi$
$180$	−1.89628	−	0.753437i	−0.141341	−	0.0561579i
$181$	−2.25503	+	6.94026i	−0.167615	+	0.515865i	−0.999219	−	0.0395029i	$-0.987423\pi$
$181$	−2.25503	+	6.94026i	−0.167615	+	0.515865i	0.831605	+	0.555368i	$0.187423\pi$
$182$	−1.49564			−0.110864
$183$	3.61527	−	11.1267i	0.267249	−	0.822507i
$184$	−1.67555	+	1.21736i	−0.123523	+	0.0897450i
$185$	6.84724	−	8.25661i	0.503419	−	0.607038i
$186$	16.2405	+	11.7994i	1.19081	+	0.865175i
$187$	11.4235	−	8.29964i	0.835367	−	0.606930i
$188$	−1.33432	+	0.969439i	−0.0973151	+	0.0707036i
$189$	7.85483	+	5.70687i	0.571355	+	0.415114i
$190$	−1.42740	+	1.72120i	−0.103554	+	0.124869i
$191$	−18.2007	+	13.2236i	−1.31696	+	0.956827i	−0.316995	+	0.948427i	$0.602674\pi$
$191$	−18.2007	+	13.2236i	−1.31696	+	0.956827i	−0.999965	+	0.00840022i	$0.997326\pi$
$192$	0.611239	−	1.88120i	0.0441124	−	0.135764i
$193$	0.716872			0.0516016			0.0258008	−	0.999667i	$-0.491786\pi$
$193$	0.716872			0.0516016			0.0258008	+	0.999667i	$0.491786\pi$
$194$	−0.486019	+	1.49581i	−0.0348941	+	0.107393i
$195$	−2.61445	−	1.03878i	−0.187225	−	0.0743887i
$196$	−0.454510	−	1.39884i	−0.0324650	−	0.0999169i
$197$	−0.187368	−	0.576659i	−0.0133494	−	0.0410853i	0.944160	−	0.329488i	$-0.106876\pi$
$197$	−0.187368	−	0.576659i	−0.0133494	−	0.0410853i	−0.957509	+	0.288402i	$0.906876\pi$
$198$	2.11359	+	1.53561i	0.150206	+	0.109131i
$199$	26.0859			1.84918			0.924590	−	0.380963i	$-0.124408\pi$
$199$	26.0859			1.84918			0.924590	+	0.380963i	$0.124408\pi$
$200$	0.925062	+	4.91368i	0.0654118	+	0.347450i
$201$	−24.6467			−1.73844
$202$	−14.0974	−	10.2424i	−0.991890	−	0.720651i
$203$	−0.348366	−	1.07216i	−0.0244505	−	0.0752509i
$204$	−3.01465	−	9.27813i	−0.211068	−	0.649599i
$205$	−13.1743	+	15.8859i	−0.920131	+	1.10952i
$206$	6.02429	−	18.5409i	0.419732	−	1.29180i
$207$	−1.88994			−0.131360
$208$	0.196552	−	0.604925i	0.0136284	−	0.0419440i
$209$	2.31618	−	1.68280i	0.160214	−	0.116402i
$210$	−0.665550	+	10.3789i	−0.0459273	+	0.716215i
$211$	−19.0430	−	13.8355i	−1.31097	−	0.952478i	−0.999998	−	0.00206024i	$-0.999344\pi$
$211$	−19.0430	−	13.8355i	−1.31097	−	0.952478i	−0.310976	−	0.950418i	$-0.600656\pi$
$212$	1.59896	−	1.16171i	0.109817	−	0.0797865i
$213$	14.6066	−	10.6123i	1.00083	−	0.727145i
$214$	8.52703	+	6.19525i	0.582895	+	0.423498i
$215$	−25.1863	+	6.43438i	−1.71769	+	0.438821i
$216$	−3.34046	+	2.42699i	−0.227290	+	0.165136i
$217$	7.37438	−	22.6960i	0.500606	−	1.54071i
$218$	2.52859			0.171258
$219$	−5.34449	+	16.4486i	−0.361147	+	1.11150i
$220$	0.409673	−	6.38865i	0.0276201	−	0.430723i
$221$	−0.969401	−	2.98351i	−0.0652089	−	0.200692i
$222$	2.93212	+	9.02413i	0.196791	+	0.605660i
$223$	19.1523	+	13.9149i	1.28253	+	0.931812i	0.999626	−	0.0273360i	$-0.00870240\pi$
$223$	19.1523	+	13.9149i	1.28253	+	0.931812i	0.282903	+	0.959148i	$0.408702\pi$
$224$	−2.35142			−0.157111
$225$	−1.95263	+	4.12371i	−0.130175	+	0.274914i
$226$	2.89461			0.192546
$227$	−13.9358	−	10.1249i	−0.924950	−	0.672016i	0.0198008	−	0.999804i	$-0.493697\pi$
$227$	−13.9358	−	10.1249i	−0.924950	−	0.672016i	−0.944751	+	0.327788i	$0.893697\pi$
$228$	−0.611239	−	1.88120i	−0.0404803	−	0.124586i
$229$	1.18317	+	3.64143i	0.0781862	+	0.240632i	0.982508	−	0.186218i	$-0.0596231\pi$
$229$	1.18317	+	3.64143i	0.0781862	+	0.240632i	−0.904322	+	0.426850i	$0.859623\pi$
$230$	2.47676	+	3.91317i	0.163313	+	0.258027i
$231$	4.11487	−	12.6643i	0.270739	−	0.833248i
$232$	0.479428			0.0314760
$233$	−0.936931	+	2.88358i	−0.0613804	+	0.188909i	−0.977045	−	0.213035i	$-0.931665\pi$
$233$	−0.936931	+	2.88358i	−0.0613804	+	0.188909i	0.915664	+	0.401944i	$0.131665\pi$
$234$	0.469570	−	0.341162i	0.0306967	−	0.0223025i
$235$	1.97235	+	3.11623i	0.128662	+	0.203281i
$236$	7.34133	+	5.33379i	0.477880	+	0.347200i
$237$	20.9651	−	15.2320i	1.36183	−	0.989428i
$238$	−9.38239	+	6.81670i	−0.608170	+	0.441861i
$239$	−12.0696	−	8.76910i	−0.780720	−	0.567226i	0.124475	−	0.992223i	$-0.460275\pi$
$239$	−12.0696	−	8.76910i	−0.780720	−	0.567226i	−0.905195	+	0.424997i	$0.860275\pi$
$240$	−4.11041	−	1.63316i	−0.265326	−	0.105420i
$241$	−1.16740	+	0.848167i	−0.0751990	+	0.0546353i	−0.624750	−	0.780825i	$-0.714799\pi$
$241$	−1.16740	+	0.848167i	−0.0751990	+	0.0546353i	0.549551	+	0.835460i	$0.314799\pi$
$242$	0.866320	−	2.66626i	0.0556891	−	0.171394i
$243$	−9.18286			−0.589080
$244$	1.82773	−	5.62518i	0.117008	−	0.360115i
$245$	−3.18652	+	0.814066i	−0.203579	+	0.0520088i
$246$	−5.64147	−	17.3627i	−0.359687	−	1.10700i
$247$	−0.196552	−	0.604925i	−0.0125063	−	0.0384905i
$248$	8.21052	+	5.96529i	0.521369	+	0.378796i
$249$	13.3037			0.843090
$250$	11.0972	−	1.36114i	0.701847	−	0.0860862i
$251$	11.5333			0.727978			0.363989	−	0.931403i	$-0.381415\pi$
$251$	11.5333			0.727978			0.363989	+	0.931403i	$0.381415\pi$
$252$	−1.73594	−	1.26123i	−0.109354	−	0.0794503i
$253$	−1.83231	−	5.63926i	−0.115196	−	0.354537i
$254$	−6.17382	−	19.0011i	−0.387380	−	1.19223i
$255$	−21.1354	+	5.39949i	−1.32355	+	0.338129i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	−0.0845135			−0.00527180			−0.00263590	−	0.999997i	$-0.500839\pi$
$257$	−0.0845135			−0.00527180			−0.00263590	+	0.999997i	$0.500839\pi$
$258$	7.10590	−	21.8697i	0.442394	−	1.36155i
$259$	9.12553	−	6.63008i	0.567033	−	0.411973i
$260$	−1.32176	−	0.525164i	−0.0819718	−	0.0325693i
$261$	0.353939	+	0.257151i	0.0219082	+	0.0159173i
$262$	−8.43846	+	6.13090i	−0.521330	+	0.378768i
$263$	2.53206	−	1.83965i	0.156134	−	0.113438i	−0.506975	−	0.861961i	$-0.669237\pi$
$263$	2.53206	−	1.83965i	0.156134	−	0.113438i	0.663109	+	0.748523i	$0.269237\pi$
$264$	4.58143	+	3.32861i	0.281968	+	0.204862i
$265$	−2.36354	−	3.73428i	−0.145191	−	0.229395i
$266$	−1.90234	+	1.38213i	−0.116640	+	0.0847438i
$267$	−6.39945	+	19.6955i	−0.391640	+	1.20534i
$268$	−12.4603			−0.761136
$269$	−2.20417	+	6.78374i	−0.134391	+	0.413612i	−0.995495	−	0.0948168i	$-0.969773\pi$
$269$	−2.20417	+	6.78374i	−0.134391	+	0.413612i	0.861104	+	0.508429i	$0.169773\pi$
$270$	4.93779	+	7.80148i	0.300504	+	0.474783i
$271$	−1.32237	−	4.06984i	−0.0803283	−	0.247225i	0.902825	−	0.430008i	$-0.141489\pi$
$271$	−1.32237	−	4.06984i	−0.0803283	−	0.247225i	−0.983153	+	0.182783i	$0.941489\pi$
$272$	−1.52408	−	4.69064i	−0.0924109	−	0.284412i
$273$	−2.39338	−	1.73889i	−0.144854	−	0.105243i
$274$	0.699000			0.0422281
$275$	−14.1975	−	1.82836i	−0.856144	−	0.110254i
$276$	−4.09666			−0.246590
$277$	9.70672	+	7.05235i	0.583220	+	0.423734i	0.839884	−	0.542766i	$-0.182623\pi$
$277$	9.70672	+	7.05235i	0.583220	+	0.423734i	−0.256663	+	0.966501i	$0.582623\pi$
$278$	0.315653	+	0.971479i	0.0189316	+	0.0582654i
$279$	2.86182	+	8.80778i	0.171333	+	0.527308i
$280$	−0.336474	+	5.24716i	−0.0201082	+	0.313578i
$281$	−8.69062	+	26.7470i	−0.518439	+	1.59559i	0.258497	+	0.966012i	$0.416773\pi$
$281$	−8.69062	+	26.7470i	−0.518439	+	1.59559i	−0.776936	+	0.629579i	$0.783227\pi$
$282$	−3.26235			−0.194270
$283$	−3.90125	+	12.0068i	−0.231905	+	0.713730i	0.765612	+	0.643303i	$0.222436\pi$
$283$	−3.90125	+	12.0068i	−0.231905	+	0.713730i	−0.997517	+	0.0704275i	$0.977564\pi$
$284$	7.38450	−	5.36515i	0.438189	−	0.318363i
$285$	−4.28534	+	1.09478i	−0.253841	+	0.0648493i
$286$	1.47322	+	1.07036i	0.0871134	+	0.0632916i
$287$	−17.5577	+	12.7564i	−1.03640	+	0.752989i
$288$	0.738252	−	0.536372i	0.0435019	−	0.0316060i
$289$	−5.92596	−	4.30546i	−0.348586	−	0.253262i
$290$	0.0686033	−	1.06984i	0.00402852	−	0.0628229i
$291$	−2.51685	+	1.82860i	−0.147540	+	0.107194i
$292$	−2.70195	+	8.31575i	−0.158120	+	0.486642i
$293$	−3.07983			−0.179925			−0.0899627	−	0.995945i	$-0.528675\pi$
$293$	−3.07983			−0.179925			−0.0899627	+	0.995945i	$0.528675\pi$
$294$	0.899025	−	2.76692i	0.0524322	−	0.161370i
$295$	12.9528	−	15.6188i	0.754140	−	0.909364i
$296$	1.48236	+	4.56222i	0.0861602	+	0.265174i
$297$	−3.65297	−	11.2427i	−0.211967	−	0.652367i
$298$	12.4621	+	9.05427i	0.721912	+	0.524500i
$299$	−1.31733			−0.0761834
$300$	−4.23255	+	8.93861i	−0.244366	+	0.516071i
$301$	−27.3362			−1.57563
$302$	8.20632	+	5.96224i	0.472220	+	0.343088i
$303$	−10.6511	−	32.7806i	−0.611888	−	1.88320i
$304$	−0.309017	−	0.951057i	−0.0177233	−	0.0545468i
$305$	−12.2910	−	4.88348i	−0.703778	−	0.279627i
$306$	1.39077	−	4.28035i	0.0795049	−	0.244691i
$307$	−25.0616			−1.43034			−0.715170	−	0.698950i	$-0.753651\pi$
$307$	−25.0616			−1.43034			−0.715170	+	0.698950i	$0.753651\pi$
$308$	2.08031	−	6.40253i	0.118537	−	0.364818i
$309$	31.1968	−	22.6658i	1.77472	−	1.28941i
$310$	14.4863	−	17.4681i	0.822769	−	0.992119i
$311$	15.9764	+	11.6076i	0.905941	+	0.658205i	0.939985	−	0.341216i	$-0.110839\pi$
$311$	15.9764	+	11.6076i	0.905941	+	0.658205i	−0.0340440	+	0.999420i	$0.510839\pi$
$312$	1.01785	−	0.739508i	0.0576242	−	0.0418664i
$313$	−12.9979	+	9.44353i	−0.734685	+	0.533780i	−0.891042	−	0.453921i	$-0.850025\pi$
$313$	−12.9979	+	9.44353i	−0.734685	+	0.533780i	0.156357	+	0.987701i	$0.450025\pi$
$314$	0.630486	+	0.458075i	0.0355804	+	0.0258507i
$315$	−3.06283	+	3.69325i	−0.172571	+	0.208091i
$316$	10.5991	−	7.70069i	0.596245	−	0.433197i
$317$	2.41018	−	7.41777i	0.135369	−	0.416624i	−0.860278	−	0.509825i	$-0.829710\pi$
$317$	2.41018	−	7.41777i	0.135369	−	0.416624i	0.995647	+	0.0932015i	$0.0297101\pi$
$318$	3.90938			0.219227
$319$	−0.424151	+	1.30540i	−0.0237479	+	0.0730885i
$320$	−2.07805	−	0.825657i	−0.116167	−	0.0461556i
$321$	6.44245	+	19.8278i	0.359583	+	1.10668i
$322$	1.50492	+	4.63167i	0.0838659	+	0.258113i
$323$	−3.99009	−	2.89897i	−0.222015	−	0.161303i
$324$	−10.9049			−0.605827
$325$	−1.36103	+	2.87433i	−0.0754965	+	0.159439i
$326$	7.62470			0.422293
$327$	4.04636	+	2.93986i	0.223764	+	0.162574i
$328$	−2.85209	−	8.77783i	−0.157480	−	0.484675i
$329$	1.19843	+	3.68840i	0.0660718	+	0.203348i
$330$	8.08331	−	9.74710i	0.444972	−	0.536560i
$331$	−5.80024	+	17.8513i	−0.318810	+	0.981197i	0.655347	+	0.755328i	$0.272522\pi$
$331$	−5.80024	+	17.8513i	−0.318810	+	0.981197i	−0.974158	+	0.225869i	$0.927478\pi$
$332$	6.72581			0.369127
$333$	−1.35269	+	4.16316i	−0.0741272	+	0.228140i
$334$	12.3993	−	9.00863i	0.678460	−	0.492930i
$335$	−1.78300	+	27.8051i	−0.0974158	+	1.51915i
$336$	−3.76285	−	2.73387i	−0.205280	−	0.149145i
$337$	16.9467	−	12.3125i	0.923144	−	0.670703i	−0.0211606	−	0.999776i	$-0.506736\pi$
$337$	16.9467	−	12.3125i	0.923144	−	0.670703i	0.944305	+	0.329073i	$0.106736\pi$
$338$	−10.1899	+	7.40341i	−0.554259	+	0.402692i
$339$	4.63208	+	3.36540i	0.251580	+	0.182784i
$340$	−10.6852	+	2.72976i	−0.579485	+	0.148042i
$341$	−23.5064	+	17.0784i	−1.27294	+	0.924846i
$342$	0.281987	−	0.867867i	0.0152481	−	0.0469289i
$343$	−19.9185			−1.07550
$344$	3.59244	−	11.0564i	0.193692	−	0.596122i
$345$	−0.586208	+	9.14163i	−0.0315604	+	0.492169i
$346$	5.94463	+	18.2957i	0.319585	+	0.983583i
$347$	4.86567	+	14.9750i	0.261203	+	0.803900i	0.992544	+	0.121888i	$0.0388948\pi$
$347$	4.86567	+	14.9750i	0.261203	+	0.803900i	−0.731341	+	0.682012i	$0.761105\pi$
$348$	0.767202	+	0.557405i	0.0411263	+	0.0298800i
$349$	−6.71059			−0.359209			−0.179605	−	0.983739i	$-0.557482\pi$
$349$	−6.71059			−0.359209			−0.179605	+	0.983739i	$0.557482\pi$
$350$	11.6608	+	1.50168i	0.623296	+	0.0802679i
$351$	−2.62630			−0.140182
$352$	2.31618	+	1.68280i	0.123453	+	0.0896938i
$353$	0.0190872	+	0.0587443i	0.00101591	+	0.00312665i	0.951563	−	0.307453i	$-0.0994768\pi$
$353$	0.0190872	+	0.0587443i	0.00101591	+	0.00312665i	−0.950547	+	0.310580i	$0.899477\pi$
$354$	5.54662	+	17.0707i	0.294800	+	0.907300i
$355$	−10.9156	−	17.2461i	−0.579339	−	0.915329i
$356$	−3.23529	+	9.95721i	−0.171470	+	0.527731i
$357$	−22.9395			−1.21409
$358$	−1.70324	+	5.24204i	−0.0900191	+	0.277050i
$359$	14.0588	−	10.2143i	0.741997	−	0.539093i	−0.151339	−	0.988482i	$-0.548358\pi$
$359$	14.0588	−	10.2143i	0.741997	−	0.539093i	0.893336	+	0.449389i	$0.148358\pi$
$360$	−1.09127	−	1.72415i	−0.0575147	−	0.0908707i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−5.90373	+	4.28931i	−0.310293	+	0.225441i
$363$	4.48624	−	3.25944i	0.235466	−	0.171076i
$364$	−1.20999	−	0.879112i	−0.0634209	−	0.0460780i
$365$	18.1698	+	7.21929i	0.951052	+	0.377875i
$366$	9.46491	−	6.87666i	0.494739	−	0.359449i
$367$	−0.447313	+	1.37669i	−0.0233495	+	0.0718625i	−0.962052	−	0.272865i	$-0.912029\pi$
$367$	−0.447313	+	1.37669i	−0.0233495	+	0.0718625i	0.938703	+	0.344728i	$0.112029\pi$
$368$	−2.07110			−0.107963
$369$	2.60262	−	8.01003i	0.135487	−	0.416986i
$370$	10.3926	−	2.65503i	0.540288	−	0.138028i
$371$	−1.43612	−	4.41993i	−0.0745597	−	0.229471i
$372$	6.20332	+	19.0919i	0.321627	+	0.989867i
$373$	−19.6179	−	14.2532i	−1.01577	−	0.738003i	−0.0503620	−	0.998731i	$-0.516038\pi$
$373$	−19.6179	−	14.2532i	−1.01577	−	0.738003i	−0.965412	+	0.260728i	$0.916038\pi$
$374$	14.1202			0.730137
$375$	19.3407	+	10.7239i	0.998751	+	0.553781i
$376$	−1.64931			−0.0850566
$377$	0.246704	+	0.179241i	0.0127059	+	0.00923138i
$378$	3.00028	+	9.23391i	0.154318	+	0.474941i
$379$	−3.48419	−	10.7232i	−0.178971	−	0.550815i	0.820822	−	0.571184i	$-0.193516\pi$
$379$	−3.48419	−	10.7232i	−0.178971	−	0.550815i	−0.999793	+	0.0203693i	$0.993516\pi$
$380$	−2.16649	+	0.553476i	−0.111138	+	0.0283927i
$381$	12.2119	−	37.5843i	0.625634	−	1.92550i
$382$	−22.4974			−1.15107
$383$	0.643193	−	1.97954i	0.0328656	−	0.101150i	−0.933278	−	0.359155i	$-0.883065\pi$
$383$	0.643193	−	1.97954i	0.0328656	−	0.101150i	0.966144	+	0.258005i	$0.0830650\pi$
$384$	1.60024	−	1.16265i	0.0816622	−	0.0593310i
$385$	−13.9895	−	5.55834i	−0.712969	−	0.283279i
$386$	0.579962	+	0.421367i	0.0295193	+	0.0214470i
$387$	8.58247	−	6.23553i	0.436272	−	0.316970i
$388$	−1.27241	+	0.924463i	−0.0645970	+	0.0469325i
$389$	9.50723	+	6.90741i	0.482036	+	0.350220i	0.802113	−	0.597172i	$-0.203709\pi$
$389$	9.50723	+	6.90741i	0.482036	+	0.350220i	−0.320077	+	0.947391i	$0.603709\pi$
$390$	−1.50455	−	2.37713i	−0.0761860	−	0.120370i
$391$	−8.26387	+	6.00406i	−0.417922	+	0.303638i
$392$	0.454510	−	1.39884i	0.0229562	−	0.0706519i
$393$	−20.6317			−1.04073
$394$	0.187368	−	0.576659i	0.00943946	−	0.0290517i
$395$	−15.6673	−	24.7536i	−0.788307	−	1.24549i
$396$	0.807318	+	2.48467i	0.0405692	+	0.124859i
$397$	−4.06833	−	12.5210i	−0.204184	−	0.628413i	−0.999746	−	0.0225412i	$-0.992824\pi$
$397$	−4.06833	−	12.5210i	−0.204184	−	0.628413i	0.795562	−	0.605872i	$-0.207176\pi$
$398$	21.1039	+	15.3329i	1.05784	+	0.768569i
$399$	−4.65114			−0.232848
$400$	−2.13980	+	4.51899i	−0.106990	+	0.225949i
$401$	23.5081			1.17394			0.586968	−	0.809610i	$-0.300321\pi$
$401$	23.5081			1.17394			0.586968	+	0.809610i	$0.300321\pi$
$402$	−19.9396	−	14.4870i	−0.994497	−	0.722544i
$403$	1.99476	+	6.13924i	0.0993661	+	0.305818i
$404$	−5.38473	−	16.5725i	−0.267900	−	0.824513i
$405$	−1.56042	+	24.3341i	−0.0775381	+	1.20917i
$406$	0.348366	−	1.07216i	0.0172891	−	0.0532104i
$407$	−13.7336			−0.680750
$408$	3.01465	−	9.27813i	0.149247	−	0.459336i
$409$	7.23309	−	5.25515i	0.357653	−	0.259850i	−0.394419	−	0.918931i	$-0.629054\pi$
$409$	7.23309	−	5.25515i	0.357653	−	0.259850i	0.752073	+	0.659080i	$0.229054\pi$
$410$	−19.9957	+	5.10834i	−0.987518	+	0.252283i
$411$	1.11857	+	0.812690i	0.0551751	+	0.0400870i
$412$	15.7718	−	11.4589i	0.777021	−	0.564539i
$413$	17.2626	−	12.5420i	0.849435	−	0.617151i
$414$	−1.52899	−	1.11088i	−0.0751459	−	0.0545967i
$415$	0.962424	−	15.0085i	0.0472436	−	0.736741i
$416$	0.514580	−	0.373864i	0.0252294	−	0.0183302i
$417$	−0.624364	+	1.92160i	−0.0305753	+	0.0941010i
$418$	2.86296			0.140032
$419$	−8.89868	+	27.3873i	−0.434729	+	1.33796i	0.458636	+	0.888624i	$0.348338\pi$
$419$	−8.89868	+	27.3873i	−0.434729	+	1.33796i	−0.893364	+	0.449333i	$0.851662\pi$
$420$	−6.63903	+	8.00554i	−0.323951	+	0.390630i
$421$	4.67789	+	14.3971i	0.227986	+	0.701670i	0.997975	+	0.0636119i	$0.0202620\pi$
$421$	4.67789	+	14.3971i	0.227986	+	0.701670i	−0.769988	+	0.638058i	$0.779738\pi$
$422$	−7.27378	−	22.3864i	−0.354082	−	1.08975i
$423$	−1.21761	−	0.884642i	−0.0592020	−	0.0430128i
$424$	1.97642			0.0959833
$425$	4.56243	+	24.2344i	0.221310	+	1.17554i
$426$	18.0548			0.874757
$427$	−11.2517	−	8.17483i	−0.544507	−	0.395608i
$428$	3.25703	+	10.0241i	0.157435	+	0.484534i
$429$	1.11307	+	3.42567i	0.0537394	+	0.165393i
$430$	−24.1581	−	9.59859i	−1.16501	−	0.462885i
$431$	−1.89090	+	5.81958i	−0.0910813	+	0.280319i	−0.986213	−	0.165483i	$-0.947082\pi$
$431$	−1.89090	+	5.81958i	−0.0910813	+	0.280319i	0.895131	+	0.445803i	$0.147082\pi$
$432$	−4.12904			−0.198659
$433$	7.80740	−	24.0287i	0.375200	−	1.15475i	−0.568144	−	0.822929i	$-0.692338\pi$
$433$	7.80740	−	24.0287i	0.375200	−	1.15475i	0.943344	−	0.331817i	$-0.107662\pi$
$434$	19.3064	−	14.0269i	0.926736	−	0.673313i
$435$	1.35362	−	1.63224i	0.0649012	−	0.0782598i
$436$	2.04567	+	1.48627i	0.0979699	+	0.0711793i
$437$	−1.67555	+	1.21736i	−0.0801526	+	0.0582343i
$438$	−13.9920	+	10.1658i	−0.668566	+	0.485742i
$439$	−5.10312	−	3.70763i	−0.243559	−	0.176956i	0.459309	−	0.888277i	$-0.348097\pi$
$439$	−5.10312	−	3.70763i	−0.243559	−	0.176956i	−0.702867	+	0.711321i	$0.748097\pi$
$440$	4.08659	−	4.92773i	0.194820	−	0.234920i
$441$	1.08584	−	0.788908i	0.0517066	−	0.0375671i
$442$	0.969401	−	2.98351i	0.0461097	−	0.141911i
$443$	−20.5982			−0.978652			−0.489326	−	0.872101i	$-0.662757\pi$
$443$	−20.5982			−0.978652			−0.489326	+	0.872101i	$0.662757\pi$
$444$	−2.93212	+	9.02413i	−0.139152	+	0.428266i
$445$	21.7564	+	8.64433i	1.03135	+	0.409780i
$446$	7.31551	+	22.5148i	0.346399	+	1.06611i
$447$	9.41555	+	28.9781i	0.445340	+	1.37062i
$448$	−1.90234	−	1.38213i	−0.0898771	−	0.0652995i
$449$	15.8703			0.748964			0.374482	−	0.927234i	$-0.377821\pi$
$449$	15.8703			0.748964			0.374482	+	0.927234i	$0.377821\pi$
$450$	−4.00357	+	2.18843i	−0.188730	+	0.103163i
$451$	26.4238			1.24425
$452$	2.34179	+	1.70141i	0.110148	+	0.0800274i
$453$	6.20014	+	19.0821i	0.291308	+	0.896554i
$454$	−5.32300	−	16.3825i	−0.249821	−	0.768869i
$455$	−2.13487	+	2.57429i	−0.100084	+	0.120684i
$456$	0.611239	−	1.88120i	0.0286239	−	0.0880953i
$457$	−11.2551			−0.526491			−0.263246	−	0.964729i	$-0.584793\pi$
$457$	−11.2551			−0.526491			−0.263246	+	0.964729i	$0.584793\pi$
$458$	−1.18317	+	3.64143i	−0.0552860	+	0.170153i
$459$	−16.4753	+	11.9700i	−0.768999	+	0.558711i
$460$	−0.296362	+	4.62162i	−0.0138180	+	0.215484i
$461$	−16.9330	−	12.3025i	−0.788648	−	0.572986i	0.118914	−	0.992905i	$-0.462059\pi$
$461$	−16.9330	−	12.3025i	−0.788648	−	0.572986i	−0.907562	+	0.419918i	$0.862059\pi$
$462$	10.7729	−	7.82695i	0.501200	−	0.364143i
$463$	1.52241	−	1.10609i	0.0707522	−	0.0514045i	−0.551847	−	0.833945i	$-0.686077\pi$
$463$	1.52241	−	1.10609i	0.0707522	−	0.0514045i	0.622599	+	0.782541i	$0.286077\pi$
$464$	0.387865	+	0.281801i	0.0180062	+	0.0130823i
$465$	43.4909	−	11.1107i	2.01684	−	0.515246i
$466$	−2.45292	+	1.78215i	−0.113629	+	0.0825564i
$467$	−5.44744	+	16.7655i	−0.252077	+	0.775815i	0.742314	+	0.670052i	$0.233728\pi$
$467$	−5.44744	+	16.7655i	−0.252077	+	0.775815i	−0.994391	+	0.105762i	$0.966272\pi$
$468$	0.580420			0.0268299
$469$	−9.05404	+	27.8655i	−0.418077	+	1.28671i
$470$	−0.236006	+	3.68041i	−0.0108862	+	0.169764i
$471$	0.476353	+	1.46606i	0.0219492	+	0.0675527i
$472$	2.80414	+	8.63026i	0.129071	+	0.397240i
$473$	26.9265	+	19.5633i	1.23808	+	0.899520i
$474$	25.9143			1.19028
$475$	0.925062	+	4.91368i	0.0424447	+	0.225455i
$476$	−11.5973			−0.531560
$477$	1.45909	+	1.06009i	0.0668074	+	0.0485384i
$478$	−4.61019	−	14.1887i	−0.210865	−	0.648976i
$479$	5.09770	+	15.6891i	0.232920	+	0.716854i	0.997391	+	0.0721953i	$0.0230005\pi$
$479$	5.09770	+	15.6891i	0.232920	+	0.716854i	−0.764471	+	0.644659i	$0.777000\pi$
$480$	−2.36544	−	3.73729i	−0.107967	−	0.170583i
$481$	−0.942862	+	2.90183i	−0.0429908	+	0.132312i
$482$	−1.44299			−0.0657263
$483$	−2.97675	+	9.16149i	−0.135447	+	0.416862i
$484$	2.26805	−	1.64784i	0.103093	−	0.0749017i
$485$	1.88085	+	2.97166i	0.0854050	+	0.134936i
$486$	−7.42909	−	5.39755i	−0.336990	−	0.244838i
$487$	14.9463	−	10.8591i	0.677283	−	0.492075i	−0.195172	−	0.980769i	$-0.562527\pi$
$487$	14.9463	−	10.8591i	0.677283	−	0.492075i	0.872455	+	0.488694i	$0.162527\pi$
$488$	4.78506	−	3.47655i	0.216610	−	0.157376i
$489$	12.2014	+	8.86483i	0.551766	+	0.400882i
$490$	−3.05645	−	1.21440i	−0.138076	−	0.0548609i
$491$	−14.9127	+	10.8347i	−0.672999	+	0.488962i	−0.871028	−	0.491234i	$-0.836546\pi$
$491$	−14.9127	+	10.8347i	−0.672999	+	0.488962i	0.198029	+	0.980196i	$0.436546\pi$
$492$	5.64147	−	17.3627i	0.254337	−	0.782769i
$493$	2.36455			0.106494
$494$	0.196552	−	0.604925i	0.00884330	−	0.0272169i
$495$	5.66002	−	1.44598i	0.254399	−	0.0649918i
$496$	3.13614	+	9.65205i	0.140817	+	0.433390i
$497$	−6.63248	−	20.4127i	−0.297507	−	0.915633i
$498$	10.7629	+	7.81974i	0.482299	+	0.350411i
$499$	−20.0206			−0.896247			−0.448123	−	0.893972i	$-0.647907\pi$
$499$	−20.0206			−0.896247			−0.448123	+	0.893972i	$0.647907\pi$
$500$	9.77786	+	5.42157i	0.437279	+	0.242460i
$501$	30.3158			1.35441
$502$	9.33067	+	6.77913i	0.416448	+	0.302567i
$503$	11.7787	+	36.2512i	0.525187	+	1.61636i	0.763946	+	0.645281i	$0.223260\pi$
$503$	11.7787	+	36.2512i	0.525187	+	1.61636i	−0.238758	+	0.971079i	$0.576740\pi$
$504$	−0.663070	−	2.04072i	−0.0295355	−	0.0909009i
$505$	−37.7518	+	9.64452i	−1.67993	+	0.429176i
$506$	1.83231	−	5.63926i	0.0814559	−	0.250696i
$507$	−24.9139			−1.10647
$508$	6.17382	−	19.0011i	0.273919	−	0.843036i
$509$	−24.7407	+	17.9752i	−1.09661	+	0.796735i	−0.980503	−	0.196502i	$-0.937042\pi$
$509$	−24.7407	+	17.9752i	−1.09661	+	0.796735i	−0.116108	+	0.993237i	$0.537042\pi$
$510$	−20.2726	−	8.05479i	−0.897687	−	0.356672i
$511$	16.6335	+	12.0849i	0.735821	+	0.534605i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	−3.34046	+	2.42699i	−0.147485	+	0.107154i
$514$	−0.0683728	−	0.0496758i	−0.00301580	−	0.00219110i
$515$	−23.3135	−	36.8342i	−1.02731	−	1.62311i
$516$	18.6035	−	13.5162i	0.818973	−	0.595018i
$517$	1.45915	−	4.49079i	0.0641732	−	0.197505i
$518$	11.2798			0.495605
$519$	−11.7586	+	36.1891i	−0.516143	+	1.58853i
$520$	−0.760639	−	1.20178i	−0.0333562	−	0.0527014i
$521$	−0.491080	−	1.51139i	−0.0215146	−	0.0662151i	0.939723	−	0.341937i	$-0.111083\pi$
$521$	−0.491080	−	1.51139i	−0.0215146	−	0.0662151i	−0.961237	+	0.275722i	$0.911083\pi$
$522$	0.135192	+	0.416080i	0.00591721	+	0.0182113i
$523$	−13.9951	−	10.1681i	−0.611964	−	0.444618i	0.238141	−	0.971231i	$-0.423462\pi$
$523$	−13.9951	−	10.1681i	−0.611964	−	0.444618i	−0.850105	+	0.526613i	$0.823462\pi$
$524$	−10.4305			−0.455659
$525$	16.9142	+	15.9604i	0.738197	+	0.696571i
$526$	3.12980			0.136466
$527$	40.4945	+	29.4210i	1.76397	+	1.28160i
$528$	1.74995	+	5.38580i	0.0761569	+	0.234387i
$529$	−5.78188	−	17.7948i	−0.251386	−	0.773687i
$530$	0.282814	−	4.41035i	0.0122846	−	0.191573i
$531$	−2.55886	+	7.87537i	−0.111045	+	0.341762i
$532$	−2.35142			−0.101947
$533$	1.81409	−	5.58319i	0.0785769	−	0.241835i
$534$	−16.7540	+	12.1725i	−0.725015	+	0.526754i
$535$	22.8347	−	5.83363i	0.987232	−	0.252210i
$536$	−10.0806	−	7.32400i	−0.435417	−	0.316349i
$537$	−8.82024	+	6.40828i	−0.380621	+	0.276538i
$538$	−5.77059	+	4.19258i	−0.248788	+	0.180755i
$539$	3.40670	+	2.47511i	0.146737	+	0.106611i
$540$	−0.590842	+	9.21389i	−0.0254258	+	0.396503i
$541$	−24.2750	+	17.6368i	−1.04366	+	0.758265i	−0.970997	−	0.239091i	$-0.923151\pi$
$541$	−24.2750	+	17.6368i	−1.04366	+	0.758265i	−0.0726654	+	0.997356i	$0.523151\pi$
$542$	1.32237	−	4.06984i	0.0568007	−	0.174815i
$543$	−14.4344			−0.619438
$544$	1.52408	−	4.69064i	0.0653444	−	0.201109i
$545$	3.60931	−	4.35221i	0.154606	−	0.186428i
$546$	−0.914191	−	2.81359i	−0.0391238	−	0.120411i
$547$	−11.6771	−	35.9385i	−0.499277	−	1.53662i	−0.810183	−	0.586177i	$-0.800632\pi$
$547$	−11.6771	−	35.9385i	−0.499277	−	1.53662i	0.310906	−	0.950441i	$-0.399368\pi$
$548$	0.565503	+	0.410862i	0.0241571	+	0.0175512i
$549$	5.39730			0.230351
$550$	−10.4114	−	9.82428i	−0.443943	−	0.418909i
$551$	0.479428			0.0204243
$552$	−3.31426	−	2.40795i	−0.141064	−	0.102489i
$553$	−9.51970	−	29.2986i	−0.404819	−	1.24590i
$554$	3.70764	+	11.4109i	0.157522	+	0.484804i
$555$	19.7176	+	7.83427i	0.836967	+	0.332546i
$556$	−0.315653	+	0.971479i	−0.0133867	+	0.0411999i
$557$	22.6711			0.960603			0.480302	−	0.877103i	$-0.340527\pi$
$557$	22.6711			0.960603			0.480302	+	0.877103i	$0.340527\pi$
$558$	−2.86182	+	8.80778i	−0.121151	+	0.372863i
$559$	5.98220	−	4.34632i	0.253020	−	0.183830i
$560$	−3.35642	+	4.04727i	−0.141834	+	0.171028i
$561$	22.5958	+	16.4168i	0.953994	+	0.693117i
$562$	−22.7523	+	16.5305i	−0.959750	+	0.697299i
$563$	−12.1586	+	8.83374i	−0.512424	+	0.372298i	−0.813742	−	0.581226i	$-0.802573\pi$
$563$	−12.1586	+	8.83374i	−0.512424	+	0.372298i	0.301318	+	0.953524i	$0.402573\pi$
$564$	−2.63930	−	1.91756i	−0.111134	−	0.0807439i
$565$	4.13176	−	4.98220i	0.173824	−	0.209603i
$566$	−10.2136	+	7.42061i	−0.429309	+	0.311912i
$567$	−7.92380	+	24.3869i	−0.332768	+	1.02416i
$568$	9.12774			0.382992
$569$	−0.563583	+	1.73453i	−0.0236266	+	0.0727152i	−0.962175	−	0.272433i	$-0.912172\pi$
$569$	−0.563583	+	1.73453i	−0.0236266	+	0.0727152i	0.938548	+	0.345149i	$0.112172\pi$
$570$	−4.11041	−	1.63316i	−0.172166	−	0.0684055i
$571$	−7.21096	−	22.1930i	−0.301769	−	0.928750i	−0.980863	−	0.194698i	$-0.937627\pi$
$571$	−7.21096	−	22.1930i	−0.301769	−	0.928750i	0.679094	−	0.734051i	$-0.262373\pi$
$572$	0.562721	+	1.73188i	0.0235285	+	0.0724134i
$573$	−36.0013	−	26.1565i	−1.50398	−	1.09270i
$574$	−21.7026			−0.905848
$575$	10.2707	+	1.32265i	0.428317	+	0.0551585i
$576$	0.912530			0.0380221
$577$	−16.6570	−	12.1020i	−0.693441	−	0.503814i	0.184349	−	0.982861i	$-0.440982\pi$
$577$	−16.6570	−	12.1020i	−0.693441	−	0.503814i	−0.877789	+	0.479047i	$0.840982\pi$
$578$	−2.26351	−	6.96638i	−0.0941498	−	0.289763i
$579$	0.438180	+	1.34858i	0.0182101	+	0.0560451i
$580$	0.684335	−	0.825191i	0.0284155	−	0.0342642i
$581$	4.88717	−	15.0412i	0.202754	−	0.624012i
$582$	−3.11100			−0.128955
$583$	−1.74854	+	5.38146i	−0.0724172	+	0.222877i
$584$	−7.07380	+	5.13941i	−0.292716	+	0.212670i
$585$	0.0830547	−	1.29520i	0.00343389	−	0.0535499i
$586$	−2.49163	−	1.81028i	−0.102928	−	0.0747819i
$587$	4.16958	−	3.02938i	0.172097	−	0.125036i	−0.498403	−	0.866946i	$-0.666080\pi$
$587$	4.16958	−	3.02938i	0.172097	−	0.125036i	0.670500	+	0.741910i	$0.266080\pi$
$588$	2.35368	−	1.71005i	0.0970641	−	0.0705212i
$589$	8.21052	+	5.96529i	0.338309	+	0.245796i
$590$	19.6595	−	5.02246i	0.809371	−	0.206771i
$591$	0.970285	−	0.704954i	0.0399122	−	0.0289979i
$592$	−1.48236	+	4.56222i	−0.0609244	+	0.187506i
$593$	12.0136			0.493340			0.246670	−	0.969099i	$-0.420664\pi$
$593$	12.0136			0.493340			0.246670	+	0.969099i	$0.420664\pi$
$594$	3.65297	−	11.2427i	0.149883	−	0.461293i
$595$	−1.65950	+	25.8791i	−0.0680329	+	1.06094i
$596$	4.76011	+	14.6501i	0.194982	+	0.600092i
$597$	15.9447	+	49.0728i	0.652574	+	2.00842i
$598$	−1.06575	−	0.774310i	−0.0435816	−	0.0316639i
$599$	−5.66244			−0.231361			−0.115680	−	0.993286i	$-0.536905\pi$
$599$	−5.66244			−0.231361			−0.115680	+	0.993286i	$0.536905\pi$
$600$	−8.67819	+	4.74366i	−0.354285	+	0.193659i
$601$	45.6257			1.86111			0.930556	−	0.366150i	$-0.119324\pi$
$601$	45.6257			1.86111			0.930556	+	0.366150i	$0.119324\pi$
$602$	−22.1154	−	16.0678i	−0.901358	−	0.654875i
$603$	−3.51366	−	10.8139i	−0.143087	−	0.440377i
$604$	3.13453	+	9.64710i	0.127542	+	0.392535i
$605$	−3.35258	−	5.29692i	−0.136302	−	0.215351i
$606$	10.6511	−	32.7806i	0.432670	−	1.33162i
$607$	−2.37010			−0.0961992			−0.0480996	−	0.998843i	$-0.515316\pi$
$607$	−2.37010			−0.0961992			−0.0480996	+	0.998843i	$0.515316\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	1.80401	−	1.31069i	0.0731023	−	0.0531119i
$610$	−7.07315	−	11.1753i	−0.286384	−	0.452473i
$611$	−0.848701	−	0.616618i	−0.0343348	−	0.0249457i
$612$	3.64108	−	2.64540i	0.147182	−	0.106934i
$613$	−27.2037	+	19.7647i	−1.09875	+	0.798288i	−0.980855	−	0.194738i	$-0.937614\pi$
$613$	−27.2037	+	19.7647i	−1.09875	+	0.798288i	−0.117894	+	0.993026i	$0.537614\pi$
$614$	−20.2752	−	14.7308i	−0.818242	−	0.594488i
$615$	−37.9372	−	15.0733i	−1.52978	−	0.607816i
$616$	5.44632	−	3.95698i	0.219438	−	0.159431i
$617$	−11.2154	+	34.5174i	−0.451514	+	1.38962i	0.423665	+	0.905819i	$0.360743\pi$
$617$	−11.2154	+	34.5174i	−0.451514	+	1.38962i	−0.875179	+	0.483799i	$0.839257\pi$
$618$	38.5614			1.55117
$619$	0.822745	−	2.53215i	0.0330689	−	0.101776i	−0.933160	−	0.359462i	$-0.882960\pi$
$619$	0.822745	−	2.53215i	0.0330689	−	0.101776i	0.966229	+	0.257687i	$0.0829602\pi$
$620$	21.9872	−	5.61710i	0.883026	−	0.225588i
$621$	2.64260	+	8.13310i	0.106044	+	0.326370i
$622$	6.10246	+	18.7814i	0.244686	+	0.753067i
$623$	19.9168	+	14.4704i	0.797949	+	0.579744i
$624$	1.25813			0.0503654
$625$	13.4973	−	21.0434i	0.539892	−	0.841734i
$626$	−16.0663			−0.642138
$627$	4.58143	+	3.32861i	0.182965	+	0.132932i
$628$	0.240824	+	0.741181i	0.00960994	+	0.0295763i
$629$	7.31102	+	22.5010i	0.291509	+	0.897174i
$630$	−4.64872	+	1.18762i	−0.185209	+	0.0473158i
$631$	5.60918	−	17.2633i	0.223298	−	0.687241i	−0.775162	−	0.631763i	$-0.782332\pi$
$631$	5.60918	−	17.2633i	0.223298	−	0.687241i	0.998460	−	0.0554780i	$-0.0176683\pi$
$632$	13.1012			0.521137
$633$	14.3876	−	44.2805i	0.571856	−	1.75999i
$634$	6.30994	−	4.58444i	0.250600	−	0.182071i
$635$	−41.5171	−	16.4957i	−1.64756	−	0.654613i
$636$	3.16275	+	2.29787i	0.125411	+	0.0911166i
$637$	0.756857	−	0.549889i	0.0299878	−	0.0217874i
$638$	−1.11044	+	0.806783i	−0.0439628	+	0.0319409i
$639$	6.73857	+	4.89586i	0.266574	+	0.193677i
$640$	−1.19587	−	1.88942i	−0.0472708	−	0.0746858i
$641$	−20.3684	+	14.7985i	−0.804504	+	0.584507i	−0.912232	−	0.409674i	$-0.865643\pi$
$641$	−20.3684	+	14.7985i	−0.804504	+	0.584507i	0.107728	+	0.994180i	$0.465643\pi$
$642$	−6.44245	+	19.8278i	−0.254263	+	0.782542i
$643$	−45.2094			−1.78288			−0.891441	−	0.453136i	$-0.850305\pi$
$643$	−45.2094			−1.78288			−0.891441	+	0.453136i	$0.850305\pi$
$644$	−1.50492	+	4.63167i	−0.0593021	+	0.182513i
$645$	−27.4992	−	43.4475i	−1.08278	−	1.71074i
$646$	−1.52408	−	4.69064i	−0.0599641	−	0.184551i
$647$	9.83575	+	30.2713i	0.386683	+	1.19009i	0.935252	+	0.353983i	$0.115173\pi$
$647$	9.83575	+	30.2713i	0.386683	+	1.19009i	−0.548569	+	0.836106i	$0.684827\pi$
$648$	−8.82223	−	6.40973i	−0.346570	−	0.251798i
$649$	−25.9796			−1.01979
$650$	−2.79059	+	1.52539i	−0.109456	+	0.0598306i
$651$	47.2033			1.85004
$652$	6.16852	+	4.48169i	0.241578	+	0.175516i
$653$	4.52978	+	13.9412i	0.177264	+	0.545562i	0.999730	−	0.0232524i	$-0.00740215\pi$
$653$	4.52978	+	13.9412i	0.177264	+	0.545562i	−0.822466	+	0.568815i	$0.807402\pi$
$654$	1.54557	+	4.75679i	0.0604367	+	0.186005i
$655$	−1.49254	+	23.2755i	−0.0583185	+	0.909450i
$656$	2.85209	−	8.77783i	0.111355	−	0.342717i
$657$	−7.97888			−0.311286
$658$	−1.19843	+	3.68840i	−0.0467198	+	0.143789i
$659$	−10.7056	+	7.77804i	−0.417029	+	0.302989i	−0.776441	−	0.630189i	$-0.782977\pi$
$659$	−10.7056	+	7.77804i	−0.417029	+	0.302989i	0.359412	+	0.933179i	$0.382977\pi$
$660$	12.2687	−	3.13432i	0.477560	−	0.122003i
$661$	22.9196	+	16.6521i	0.891470	+	0.647691i	0.936261	−	0.351305i	$-0.114262\pi$
$661$	22.9196	+	16.6521i	0.891470	+	0.647691i	−0.0447908	+	0.998996i	$0.514262\pi$
$662$	−15.1852	+	11.0327i	−0.590191	+	0.428799i
$663$	5.02004	−	3.64727i	0.194962	−	0.141648i
$664$	5.44130	+	3.95333i	0.211163	+	0.153419i
$665$	−0.336474	+	5.24716i	−0.0130479	+	0.203476i
$666$	−3.54140	+	2.57298i	−0.137226	+	0.0997008i
$667$	0.306836	−	0.944344i	0.0118807	−	0.0365651i
$668$	15.3264			0.592996
$669$	−14.4702	+	44.5346i	−0.559449	+	1.72181i
$670$	−17.7859	+	21.4467i	−0.687129	+	0.828560i
$671$	5.23272	+	16.1046i	0.202007	+	0.621713i
$672$	−1.43728	−	4.42349i	−0.0554443	−	0.170640i
$673$	28.0035	+	20.3458i	1.07946	+	0.784272i	0.977588	−	0.210526i	$-0.0675178\pi$
$673$	28.0035	+	20.3458i	1.07946	+	0.784272i	0.101869	+	0.994798i	$0.467518\pi$
$674$	20.9472			0.806857
$675$	20.4761	+	2.63691i	0.788126	+	0.101495i
$676$	−12.5954			−0.484440
$677$	−10.1476	−	7.37268i	−0.390005	−	0.283355i	0.375453	−	0.926842i	$-0.377487\pi$
$677$	−10.1476	−	7.37268i	−0.390005	−	0.283355i	−0.765458	+	0.643486i	$0.777487\pi$
$678$	1.76930	+	5.44533i	0.0679494	+	0.209127i
$679$	1.14283	+	3.51728i	0.0438580	+	0.134981i
$680$	−10.2490	−	4.07216i	−0.393031	−	0.156160i
$681$	10.5289	−	32.4048i	0.403470	−	1.24175i
$682$	−29.0555			−1.11259
$683$	−9.52527	+	29.3158i	−0.364474	+	1.12174i	0.585835	+	0.810430i	$0.300767\pi$
$683$	−9.52527	+	29.3158i	−0.364474	+	1.12174i	−0.950309	+	0.311307i	$0.899233\pi$
$684$	0.738252	−	0.536372i	0.0282278	−	0.0205087i
$685$	0.997752	−	1.20312i	0.0381222	−	0.0459688i
$686$	−16.1144	−	11.7078i	−0.615250	−	0.447005i
$687$	−6.12706	+	4.45157i	−0.233762	+	0.169838i
$688$	9.40514	−	6.83324i	0.358568	−	0.260515i
$689$	1.01703	+	0.738912i	0.0387456	+	0.0281503i
$690$	−5.84756	+	7.05117i	−0.222613	+	0.268433i
$691$	14.5059	−	10.5392i	0.551830	−	0.400928i	−0.276630	−	0.960977i	$-0.589217\pi$
$691$	14.5059	−	10.5392i	0.551830	−	0.400928i	0.828460	+	0.560048i	$0.189217\pi$
$692$	−5.94463	+	18.2957i	−0.225981	+	0.695498i
$693$	6.14317			0.233360
$694$	−4.86567	+	14.9750i	−0.184698	+	0.568443i
$695$	2.12267	+	0.843387i	0.0805175	+	0.0319915i
$696$	0.293045	+	0.901900i	0.0111078	+	0.0341864i
$697$	−14.0666	−	43.2925i	−0.532810	−	1.63982i
$698$	−5.42898	−	3.94438i	−0.205490	−	0.149297i
$699$	−5.99728			−0.226838
$700$	8.55113	+	8.06893i	0.323202	+	0.304977i
$701$	−44.4540			−1.67901			−0.839503	−	0.543356i	$-0.817153\pi$
$701$	−44.4540			−1.67901			−0.839503	+	0.543356i	$0.817153\pi$
$702$	−2.12472	−	1.54370i	−0.0801925	−	0.0582633i
$703$	1.48236	+	4.56222i	0.0559081	+	0.172067i
$704$	0.884703	+	2.72284i	0.0333435	+	0.102621i
$705$	−4.65668	+	5.61516i	−0.175381	+	0.211479i
$706$	−0.0190872	+	0.0587443i	−0.000718356	+	0.00221087i
$707$	−40.9743			−1.54100
$708$	−5.54662	+	17.0707i	−0.208455	+	0.641558i
$709$	−29.6773	+	21.5618i	−1.11455	+	0.809770i	−0.983375	−	0.181588i	$-0.941876\pi$
$709$	−29.6773	+	21.5618i	−1.11455	+	0.809770i	−0.131179	+	0.991359i	$0.541876\pi$
$710$	1.30613	−	20.3684i	0.0490181	−	0.764413i
$711$	9.67198	+	7.02711i	0.362728	+	0.263537i
$712$	−8.47011	+	6.15389i	−0.317431	+	0.230627i
$713$	17.0048	−	12.3547i	0.636835	−	0.462687i
$714$	−18.5585	−	13.4835i	−0.694533	−	0.504608i
$715$	3.94518	−	1.00788i	0.147541	−	0.0376926i
$716$	−4.45914	+	3.23976i	−0.166646	+	0.121075i
$717$	9.11901	−	28.0654i	0.340556	−	1.04812i
$718$	17.3777			0.648529
$719$	6.38024	−	19.6363i	0.237943	−	0.732312i	−0.758775	−	0.651353i	$-0.774202\pi$
$719$	6.38024	−	19.6363i	0.237943	−	0.732312i	0.996717	−	0.0809591i	$-0.0257983\pi$
$720$	0.130578	−	2.03630i	0.00486634	−	0.0758883i
$721$	−14.1656	−	43.5973i	−0.527556	−	1.62365i
$722$	−0.309017	−	0.951057i	−0.0115004	−	0.0353947i
$723$	−2.30914	−	1.67768i	−0.0858777	−	0.0623938i
$724$	−7.29742			−0.271206
$725$	−1.74348	−	1.64516i	−0.0647511	−	0.0610998i
$726$	5.54530			0.205805
$727$	20.1183	+	14.6168i	0.746147	+	0.542108i	0.894630	−	0.446807i	$-0.147439\pi$
$727$	20.1183	+	14.6168i	0.746147	+	0.542108i	−0.148483	+	0.988915i	$0.547439\pi$
$728$	−0.462177	−	1.42243i	−0.0171294	−	0.0527189i
$729$	4.49646	+	13.8387i	0.166535	+	0.512543i
$730$	10.4563	+	16.5205i	0.387005	+	0.611451i
$731$	17.7180	−	54.5305i	0.655325	−	2.01688i
$732$	11.6993			0.432417
$733$	2.55488	−	7.86312i	0.0943668	−	0.290431i	−0.892721	−	0.450609i	$-0.851207\pi$
$733$	2.55488	−	7.86312i	0.0943668	−	0.290431i	0.987088	+	0.160178i	$0.0512068\pi$
$734$	−1.17108	+	0.850840i	−0.0432254	+	0.0314051i
$735$	−3.47915	−	5.49690i	−0.128330	−	0.202756i
$736$	−1.67555	−	1.21736i	−0.0617617	−	0.0448725i
$737$	28.8604	−	20.9683i	1.06309	−	0.772378i
$738$	6.81374	−	4.95047i	0.250817	−	0.182229i
$739$	14.3114	+	10.3979i	0.526454	+	0.382492i	0.819030	−	0.573751i	$-0.194512\pi$
$739$	14.3114	+	10.3979i	0.526454	+	0.382492i	−0.292575	+	0.956242i	$0.594512\pi$
$740$	9.96841	+	3.96068i	0.366446	+	0.145598i
$741$	1.01785	−	0.739508i	0.0373915	−	0.0271665i
$742$	1.43612	−	4.41993i	0.0527217	−	0.162261i
$743$	22.0266			0.808079			0.404040	−	0.914741i	$-0.367606\pi$
$743$	22.0266			0.808079			0.404040	+	0.914741i	$0.367606\pi$
$744$	−6.20332	+	19.0919i	−0.227425	+	0.699942i
$745$	33.3726	−	8.52577i	1.22268	−	0.312360i
$746$	−7.49336	−	23.0622i	−0.274351	−	0.844366i
$747$	1.89659	+	5.83711i	0.0693927	+	0.213569i
$748$	11.4235	+	8.29964i	0.417683	+	0.303465i
$749$	24.7839			0.905585
$750$	9.34361	+	20.0440i	0.341180	+	0.731905i
$751$	−25.7528			−0.939732			−0.469866	−	0.882738i	$-0.655698\pi$
$751$	−25.7528			−0.939732			−0.469866	+	0.882738i	$0.655698\pi$
$752$	−1.33432	−	0.969439i	−0.0486576	−	0.0353518i
$753$	7.04963	+	21.6965i	0.256903	+	0.790665i
$754$	0.0942326	+	0.290018i	0.00343175	+	0.0105618i
$755$	21.9759	−	5.61422i	0.799785	−	0.204322i
$756$	−3.00028	+	9.23391i	−0.109119	+	0.335834i
$757$	23.8091			0.865355			0.432677	−	0.901549i	$-0.357569\pi$
$757$	23.8091			0.865355			0.432677	+	0.901549i	$0.357569\pi$
$758$	3.48419	−	10.7232i	0.126551	−	0.389485i
$759$	9.48860	−	6.89387i	0.344414	−	0.250232i
$760$	−2.07805	−	0.825657i	−0.0753788	−	0.0299497i
$761$	−18.5559	−	13.4816i	−0.672649	−	0.488708i	0.198262	−	0.980149i	$-0.436470\pi$
$761$	−18.5559	−	13.4816i	−0.672649	−	0.488708i	−0.870911	+	0.491441i	$0.836470\pi$
$762$	31.9711	−	23.2284i	1.15819	−	0.841476i
$763$	4.81023	−	3.49484i	0.174142	−	0.126522i
$764$	−18.2007	−	13.2236i	−0.658480	−	0.478414i
$765$	−5.38215	−	8.50355i	−0.194592	−	0.307447i
$766$	1.68390	−	1.22343i	0.0608418	−	0.0442042i
$767$	−1.78359	+	5.48933i	−0.0644017	+	0.198208i
$768$	1.97801			0.0713753
$769$	−3.66182	+	11.2699i	−0.132049	+	0.406404i	−0.995119	−	0.0986795i	$-0.968538\pi$
$769$	−3.66182	+	11.2699i	−0.132049	+	0.406404i	0.863071	+	0.505083i	$0.168538\pi$
$770$	−8.05061	−	12.7196i	−0.290124	−	0.458382i
$771$	−0.0516579	−	0.158987i	−0.00186042	−	0.00572577i
$772$	0.221526	+	0.681786i	0.00797288	+	0.0245380i
$773$	−5.98401	−	4.34763i	−0.215230	−	0.156374i	0.474947	−	0.880014i	$-0.342467\pi$
$773$	−5.98401	−	4.34763i	−0.215230	−	0.156374i	−0.690177	+	0.723641i	$0.742467\pi$
$774$	10.6085			0.381315
$775$	−9.38823	−	49.8678i	−0.337235	−	1.79130i
$776$	−1.57279			−0.0564599
$777$	18.0504	+	13.1144i	0.647554	+	0.470476i
$778$	3.63144	+	11.1764i	0.130193	+	0.400694i
$779$	−2.85209	−	8.77783i	−0.102187	−	0.314498i
$780$	0.180031	−	2.80749i	0.00644613	−	0.100524i
$781$	−8.07534	+	24.8533i	−0.288958	+	0.889322i
$782$	−10.2147			−0.365277
$783$	0.611723	−	1.88269i	0.0218612	−	0.0672818i
$784$	1.18992	−	0.864529i	0.0424972	−	0.0308760i
$785$	1.68839	−	0.431337i	0.0602614	−	0.0153951i
$786$	−16.6914	−	12.1270i	−0.595361	−	0.432555i
$787$	29.1799	−	21.2005i	1.04015	−	0.755715i	0.0698370	−	0.997558i	$-0.477752\pi$
$787$	29.1799	−	21.2005i	1.04015	−	0.755715i	0.970315	+	0.241844i	$0.0777521\pi$
$788$	0.490536	−	0.356395i	0.0174746	−	0.0126960i
$789$	5.00845	+	3.63885i	0.178306	+	0.129547i
$790$	1.87470	−	29.2351i	0.0666990	−	1.04014i
$791$	5.50652	−	4.00072i	0.195789	−	0.142249i
$792$	−0.807318	+	2.48467i	−0.0286868	+	0.0882888i
$793$	3.76206			0.133595
$794$	4.06833	−	12.5210i	0.144380	−	0.444355i
$795$	5.58024	−	6.72882i	0.197911	−	0.238647i
$796$	8.06099	+	24.8092i	0.285714	+	0.879337i
$797$	−5.11978	−	15.7571i	−0.181352	−	0.558144i	0.818515	−	0.574486i	$-0.194798\pi$
$797$	−5.11978	−	15.7571i	−0.181352	−	0.558144i	−0.999866	+	0.0163421i	$0.994798\pi$
$798$	−3.76285	−	2.73387i	−0.133203	−	0.0967779i
$799$	−8.13443			−0.287775
$800$	−4.38733	+	2.39820i	−0.155115	+	0.0847891i
$801$	−9.55385			−0.337569
$802$	19.0184	+	13.8177i	0.671564	+	0.487920i
$803$	−7.73557	−	23.8076i	−0.272982	−	0.840153i
$804$	−7.61625	−	23.4404i	−0.268604	−	0.826679i
$805$	10.1201	+	4.02097i	0.356688	+	0.141721i
$806$	−1.99476	+	6.13924i	−0.0702625	+	0.216246i
$807$	−14.1089			−0.496655
$808$	5.38473	−	16.5725i	0.189434	−	0.583019i
$809$	−18.7185	+	13.5998i	−0.658109	+	0.478144i	−0.866024	−	0.500003i	$-0.833332\pi$
$809$	−18.7185	+	13.5998i	−0.658109	+	0.478144i	0.207915	+	0.978147i	$0.433332\pi$
$810$	−15.5656	+	18.7695i	−0.546920	+	0.659492i
$811$	−10.0889	−	7.32999i	−0.354268	−	0.257391i	0.396389	−	0.918083i	$-0.370263\pi$
$811$	−10.0889	−	7.32999i	−0.354268	−	0.257391i	−0.750657	+	0.660692i	$0.770263\pi$
$812$	0.912034	−	0.662631i	0.0320061	−	0.0232538i
$813$	6.84790	−	4.97529i	0.240166	−	0.174491i
$814$	−11.1107	−	8.07242i	−0.389431	−	0.282938i
$815$	10.8835	−	13.1236i	0.381232	−	0.459701i
$816$	7.89245	−	5.73420i	0.276291	−	0.200737i
$817$	3.59244	−	11.0564i	0.125684	−	0.386815i
$818$	8.94059			0.312601
$819$	0.421750	−	1.29801i	0.0147371	−	0.0453563i
$820$	−19.1795	−	7.62045i	−0.669776	−	0.266118i
$821$	12.9424	+	39.8327i	0.451694	+	1.39017i	0.874973	+	0.484172i	$0.160879\pi$
$821$	12.9424	+	39.8327i	0.451694	+	1.39017i	−0.423278	+	0.906000i	$0.639121\pi$
$822$	0.427256	+	1.31496i	0.0149023	+	0.0458645i
$823$	−19.5712	−	14.2193i	−0.682208	−	0.495653i	0.191882	−	0.981418i	$-0.438541\pi$
$823$	−19.5712	−	14.2193i	−0.682208	−	0.495653i	−0.874089	+	0.485765i	$0.838541\pi$
$824$	19.4950			0.679141
$825$	−5.23859	−	27.8260i	−0.182384	−	0.968777i
$826$	21.3377			0.742433
$827$	38.0860	+	27.6711i	1.32438	+	0.962218i	0.999867	+	0.0163360i	$0.00520015\pi$
$827$	38.0860	+	27.6711i	1.32438	+	0.962218i	0.324512	+	0.945881i	$0.394800\pi$
$828$	−0.584023	−	1.79744i	−0.0202962	−	0.0624653i
$829$	−7.02912	−	21.6334i	−0.244131	−	0.751359i	−0.995778	−	0.0917933i	$-0.970740\pi$
$829$	−7.02912	−	21.6334i	−0.244131	−	0.751359i	0.751647	−	0.659566i	$-0.229260\pi$
$830$	9.60042	−	11.5765i	0.333235	−	0.401825i
$831$	−7.33375	+	22.5710i	−0.254405	+	0.782978i
$832$	0.636056			0.0220513
$833$	2.24165	−	6.89910i	0.0776687	−	0.239040i
$834$	−1.63461	+	1.18761i	−0.0566018	+	0.0411236i
$835$	2.19312	−	34.2006i	0.0758959	−	1.18356i
$836$	2.31618	+	1.68280i	0.0801068	+	0.0582010i
$837$	33.9016	−	24.6309i	1.17181	−	0.851370i
$838$	−23.2970	+	16.9263i	−0.804783	+	0.584709i
$839$	−33.1241	−	24.0660i	−1.14357	−	0.830852i	−0.155957	−	0.987764i	$-0.549846\pi$
$839$	−33.1241	−	24.0660i	−1.14357	−	0.830852i	−0.987613	+	0.156911i	$0.949846\pi$
$840$	−10.0766	+	2.57429i	−0.347677	+	0.0888215i
$841$	23.2755	−	16.9107i	0.802605	−	0.583127i
$842$	−4.67789	+	14.3971i	−0.161211	+	0.496155i
$843$	−55.6285			−1.91595
$844$	7.27378	−	22.3864i	0.250374	−	0.770571i
$845$	−1.80233	+	28.1065i	−0.0620021	+	0.966894i
$846$	−0.465084	−	1.43138i	−0.0159899	−	0.0492119i
$847$	−2.03708	−	6.26949i	−0.0699949	−	0.215422i
$848$	1.59896	+	1.16171i	0.0549084	+	0.0398933i
$849$	−24.9718			−0.857030
$850$	−10.5535	+	22.2878i	−0.361984	+	0.764464i
$851$	9.93507			0.340570
$852$	14.6066	+	10.6123i	0.500415	+	0.363573i
$853$	6.53509	+	20.1129i	0.223757	+	0.688654i	0.998415	+	0.0562737i	$0.0179219\pi$
$853$	6.53509	+	20.1129i	0.223757	+	0.688654i	−0.774658	+	0.632380i	$0.782078\pi$
$854$	−4.29776	−	13.2272i	−0.147066	−	0.452624i
$855$	−1.09127	−	1.72415i	−0.0373205	−	0.0589647i
$856$	−3.25703	+	10.0241i	−0.111323	+	0.342617i
$857$	7.17186			0.244986			0.122493	−	0.992469i	$-0.460911\pi$
$857$	7.17186			0.244986			0.122493	+	0.992469i	$0.460911\pi$
$858$	−1.11307	+	3.42567i	−0.0379995	+	0.116950i
$859$	0.693672	−	0.503982i	0.0236678	−	0.0171957i	−0.575888	−	0.817528i	$-0.695344\pi$
$859$	0.693672	−	0.503982i	0.0236678	−	0.0171957i	0.599556	+	0.800333i	$0.295344\pi$
$860$	−13.9024	−	21.9652i	−0.474069	−	0.749008i
$861$	−34.7294	−	25.2324i	−1.18358	−	0.859918i
$862$	−4.95043	+	3.59670i	−0.168612	+	0.122504i
$863$	23.0310	−	16.7330i	0.783985	−	0.569599i	−0.122187	−	0.992507i	$-0.538991\pi$
$863$	23.0310	−	16.7330i	0.783985	−	0.569599i	0.906172	+	0.422908i	$0.138991\pi$
$864$	−3.34046	−	2.42699i	−0.113645	−	0.0825678i
$865$	39.9759	+	15.8834i	1.35922	+	0.540050i
$866$	20.4400	−	14.8506i	0.694581	−	0.504642i
$867$	4.47726	−	13.7796i	0.152056	−	0.467979i
$868$	23.8640			0.809997
$869$	−11.5907	+	35.6724i	−0.393186	+	1.21010i
$870$	2.05451	−	0.524869i	0.0696544	−	0.0177947i
$871$	−2.44911	−	7.53758i	−0.0829848	−	0.255401i
$872$	0.781377	+	2.40483i	0.0264608	+	0.0814379i
$873$	−1.16112	−	0.843600i	−0.0392978	−	0.0285515i
$874$	−2.07110			−0.0700559
$875$	19.2293	−	17.9271i	0.650069	−	0.606046i
$876$	−17.2951			−0.584348
$877$	15.8713	+	11.5312i	0.535937	+	0.389381i	0.822574	−	0.568658i	$-0.192537\pi$
$877$	15.8713	+	11.5312i	0.535937	+	0.389381i	−0.286637	+	0.958039i	$0.592537\pi$
$878$	−1.94922	−	5.99908i	−0.0657829	−	0.202459i
$879$	−1.88251	−	5.79377i	−0.0634955	−	0.195419i
$880$	6.20256	−	1.58458i	0.209088	−	0.0534161i
$881$	6.99633	−	21.5325i	0.235712	−	0.725448i	−0.761314	−	0.648384i	$-0.775445\pi$
$881$	6.99633	−	21.5325i	0.235712	−	0.725448i	0.997026	−	0.0770646i	$-0.0245548\pi$
$882$	1.34217			0.0451932
$883$	2.96565	−	9.12732i	0.0998019	−	0.307159i	−0.888673	−	0.458541i	$-0.848372\pi$
$883$	2.96565	−	9.12732i	0.0998019	−	0.307159i	0.988475	+	0.151382i	$0.0483723\pi$
$884$	2.53792	−	1.84391i	0.0853596	−	0.0620174i
$885$	37.2994	+	14.8199i	1.25381	+	0.498166i
$886$	−16.6643	−	12.1073i	−0.559849	−	0.406754i
$887$	−9.60632	+	6.97940i	−0.322549	+	0.234345i	−0.737262	−	0.675607i	$-0.763882\pi$
$887$	−9.60632	+	6.97940i	−0.322549	+	0.234345i	0.414714	+	0.909952i	$0.363882\pi$
$888$	−7.67638	+	5.57722i	−0.257603	+	0.187159i
$889$	−38.0066	−	27.6134i	−1.27470	−	0.926125i
$890$	12.5203	+	19.7815i	0.419681	+	0.663077i
$891$	25.2577	−	18.3508i	0.846164	−	0.614774i
$892$	−7.31551	+	22.5148i	−0.244941	+	0.753852i
$893$	−1.64931			−0.0551920
$894$	−9.41555	+	28.9781i	−0.314903	+	0.969172i
$895$	6.59139	+	10.4141i	0.220326	+	0.348105i
$896$	−0.726629	−	2.23633i	−0.0242750	−	0.0747107i
$897$	−0.805207	−	2.47817i	−0.0268851	−	0.0827437i
$898$	12.8393	+	9.32831i	0.428453	+	0.311290i
$899$	−4.86560			−0.162277
$900$	−4.52528	−	0.582764i	−0.150843	−	0.0194255i
$901$	9.74775			0.324744
$902$	21.3773	+	15.5315i	0.711787	+	0.517144i
$903$	−16.7089	−	51.4249i	−0.556039	−	1.71131i
$904$	0.894482	+	2.75293i	0.0297500	+	0.0915612i
$905$	−1.04422	+	16.2841i	−0.0347110	+	0.541301i
$906$	−6.20014	+	19.0821i	−0.205986	+	0.633960i
$907$	18.6710			0.619960			0.309980	−	0.950743i	$-0.399678\pi$
$907$	18.6710			0.619960			0.309980	+	0.950743i	$0.399678\pi$
$908$	5.32300	−	16.3825i	0.176650	−	0.543672i
$909$	12.8643	−	9.34647i	0.426682	−	0.310003i
$910$	−3.24027	+	0.827798i	−0.107414	+	0.0274412i
$911$	−42.5809	−	30.9368i	−1.41077	−	1.02498i	−0.993210	−	0.116333i	$-0.962886\pi$
$911$	−42.5809	−	30.9368i	−1.41077	−	1.02498i	−0.417558	−	0.908650i	$-0.637114\pi$
$912$	1.60024	−	1.16265i	0.0529894	−	0.0384991i
$913$	−15.5782	+	11.3182i	−0.515563	+	0.374579i
$914$	−9.10557	−	6.61558i	−0.301185	−	0.218824i
$915$	1.67410	−	26.1067i	0.0553439	−	0.863062i
$916$	−3.09759	+	2.25053i	−0.102347	+	0.0743595i
$917$	−7.57910	+	23.3261i	−0.250284	+	0.770295i
$918$	−20.3645			−0.672130
$919$	−12.1349	+	37.3473i	−0.400293	+	1.23197i	0.524469	+	0.851429i	$0.324264\pi$
$919$	−12.1349	+	37.3473i	−0.400293	+	1.23197i	−0.924762	+	0.380545i	$0.875736\pi$
$920$	−2.95628	+	3.56477i	−0.0974658	+	0.117527i
$921$	−15.3186	−	47.1459i	−0.504766	−	1.55351i
$922$	−6.46782	−	19.9059i	−0.213006	−	0.655566i
$923$	4.69696	+	3.41254i	0.154602	+	0.112325i
$924$	13.3160			0.438065
$925$	10.2646	−	21.6776i	0.337499	−	0.712755i
$926$	1.88180			0.0618397
$927$	14.3922	+	10.4566i	0.472703	+	0.343439i
$928$	0.148151	+	0.455963i	0.00486330	+	0.0149677i
$929$	−11.7217	−	36.0758i	−0.384578	−	1.18361i	−0.936786	−	0.349902i	$-0.886215\pi$
$929$	−11.7217	−	36.0758i	−0.384578	−	1.18361i	0.552208	−	0.833706i	$-0.313785\pi$
$930$	41.7155	+	16.5746i	1.36791	+	0.543501i
$931$	0.454510	−	1.39884i	0.0148960	−	0.0458450i
$932$	−3.03197			−0.0993156
$933$	−12.0707	+	37.1499i	−0.395178	+	1.21623i
$934$	−14.2616	+	10.3616i	−0.466653	+	0.339043i
$935$	20.1551	−	24.3037i	0.659144	−	0.794815i
$936$	0.469570	+	0.341162i	0.0153484	+	0.0111512i
$937$	−0.855322	+	0.621428i	−0.0279421	+	0.0203012i	−0.601669	−	0.798746i	$-0.705497\pi$
$937$	−0.855322	+	0.621428i	−0.0279421	+	0.0203012i	0.573727	+	0.819047i	$0.305497\pi$
$938$	−23.7038	+	17.2218i	−0.773956	+	0.562312i
$939$	−25.7100	−	18.6794i	−0.839015	−	0.609580i
$940$	−2.35422	+	2.83879i	−0.0767862	+	0.0925911i
$941$	27.4144	−	19.9178i	0.893685	−	0.649300i	−0.0431511	−	0.999069i	$-0.513740\pi$
$941$	27.4144	−	19.9178i	0.893685	−	0.649300i	0.936836	+	0.349768i	$0.113740\pi$
$942$	−0.476353	+	1.46606i	−0.0155204	+	0.0477670i
$943$	−19.1153			−0.622480
$944$	−2.80414	+	8.63026i	−0.0912670	+	0.280891i
$945$	20.1760	+	8.01640i	0.656326	+	0.260773i
$946$	10.2850	+	31.6540i	0.334395	+	1.02916i
$947$	10.0607	+	30.9638i	0.326930	+	1.00619i	0.970562	+	0.240852i	$0.0774268\pi$
$947$	10.0607	+	30.9638i	0.326930	+	1.00619i	−0.643632	+	0.765335i	$0.722573\pi$
$948$	20.9651	+	15.2320i	0.680915	+	0.494714i
$949$	−5.56148			−0.180533
$950$	−2.13980	+	4.51899i	−0.0694242	+	0.146615i
$951$	15.4275			0.500272
$952$	−9.38239	−	6.81670i	−0.304085	−	0.220931i
$953$	14.9385	+	45.9760i	0.483906	+	1.48931i	0.833559	+	0.552430i	$0.186299\pi$
$953$	14.9385	+	45.9760i	0.483906	+	1.48931i	−0.349653	+	0.936879i	$0.613701\pi$
$954$	0.557325	+	1.71527i	0.0180441	+	0.0555339i
$955$	−32.1127	+	38.7225i	−1.03914	+	1.25303i
$956$	4.61019	−	14.1887i	0.149104	−	0.458895i
$957$	−2.71498			−0.0877629
$958$	−5.09770	+	15.6891i	−0.164699	+	0.506892i
$959$	1.32973	−	0.966109i	0.0429394	−	0.0311973i
$960$	0.283042	−	4.41390i	0.00913514	−	0.142458i
$961$	−58.2471	−	42.3190i	−1.87894	−	1.36513i
$962$	−2.46844	+	1.79343i	−0.0795858	+	0.0578225i
$963$	−7.78117	+	5.65335i	−0.250745	+	0.182177i
$964$	−1.16740	−	0.848167i	−0.0375995	−	0.0273176i
$965$	1.55309	−	0.396771i	0.0499958	−	0.0127725i
$966$	−7.79323	+	5.66211i	−0.250743	+	0.182175i
$967$	−10.1165	+	31.1354i	−0.325325	+	1.00125i	0.645969	+	0.763363i	$0.276453\pi$
$967$	−10.1165	+	31.1354i	−0.325325	+	1.00125i	−0.971294	+	0.237883i	$0.923547\pi$
$968$	2.80347			0.0901069
$969$	3.01465	−	9.27813i	0.0968444	−	0.298057i
$970$	−0.225057	+	3.50966i	−0.00722615	+	0.112688i
$971$	−7.21672	−	22.2108i	−0.231596	−	0.712778i	−0.997555	−	0.0698888i	$-0.977736\pi$
$971$	−7.21672	−	22.2108i	−0.231596	−	0.712778i	0.765959	−	0.642889i	$-0.222264\pi$
$972$	−2.83766	−	8.73342i	−0.0910179	−	0.280124i
$973$	1.94319	+	1.41181i	0.0622957	+	0.0452605i
$974$	18.4747			0.591967
$975$	−6.23911	−	0.803471i	−0.199811	−	0.0257317i
$976$	5.91466			0.189324
$977$	−8.92340	−	6.48323i	−0.285485	−	0.207417i	0.435821	−	0.900033i	$-0.356458\pi$
$977$	−8.92340	−	6.48323i	−0.285485	−	0.207417i	−0.721306	+	0.692616i	$0.756458\pi$
$978$	4.66052	+	14.3436i	0.149027	+	0.458658i
$979$	−9.26251	−	28.5071i	−0.296031	−	0.911090i
$980$	−1.75891	−	2.77900i	−0.0561864	−	0.0887719i
$981$	−0.713030	+	2.19448i	−0.0227653	+	0.0700644i
$982$	−18.4331			−0.588222
$983$	11.9811	−	36.8739i	0.382136	−	1.17609i	−0.556400	−	0.830914i	$-0.687818\pi$
$983$	11.9811	−	36.8739i	0.382136	−	1.17609i	0.938536	−	0.345180i	$-0.112182\pi$
$984$	14.7696	−	10.7307i	0.470836	−	0.342083i
$985$	−0.725097	−	1.14562i	−0.0231035	−	0.0365025i
$986$	1.91296	+	1.38985i	0.0609211	+	0.0442618i
$987$	−6.20609	+	4.50899i	−0.197542	+	0.143523i
$988$	0.514580	−	0.373864i	0.0163710	−	0.0118942i
$989$	−19.4790	−	14.1523i	−0.619395	−	0.450017i
$990$	5.42898	+	2.15706i	0.172544	+	0.0685558i
$991$	−39.9496	+	29.0251i	−1.26904	+	0.922013i	−0.999164	−	0.0408814i	$-0.986983\pi$
$991$	−39.9496	+	29.0251i	−1.26904	+	0.922013i	−0.269878	+	0.962894i	$0.586983\pi$
$992$	−3.13614	+	9.65205i	−0.0995725	+	0.306453i
$993$	−37.1272			−1.17820
$994$	6.63248	−	20.4127i	0.210369	−	0.647451i
$995$	56.5147	−	14.4379i	1.79164	−	0.457713i
$996$	4.11108	+	12.6526i	0.130265	+	0.400913i
$997$	0.787186	+	2.42271i	0.0249304	+	0.0767279i	0.962748	−	0.270402i	$-0.0871564\pi$
$997$	0.787186	+	2.42271i	0.0249304	+	0.0767279i	−0.937817	+	0.347129i	$0.887156\pi$
$998$	−16.1970	−	11.7678i	−0.512708	−	0.372504i
$999$	19.8070			0.626666

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.d.191.10	✓	44
25.11	even	5	inner	950.2.h.d.761.10	yes	44

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.d.191.10	✓	44	1.1	even	1	trivial
950.2.h.d.761.10	yes	44	25.11	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.611239 + 1.88120i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.16649 - 0.553476i) q^{5} +(-0.611239 + 1.88120i) q^{6} +2.35142 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.738252 + 0.536372i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(0.611239 + 1.88120i) q^{3} +(0.309017 + 0.951057i) q^{4} +(2.16649 - 0.553476i) q^{5} +(-0.611239 + 1.88120i) q^{6} +2.35142 q^{7} +(-0.309017 + 0.951057i) q^{8} +(-0.738252 + 0.536372i) q^{9} +(2.07805 + 0.825657i) q^{10} +(-2.31618 - 1.68280i) q^{11} +(-1.60024 + 1.16265i) q^{12} +(-0.514580 + 0.373864i) q^{13} +(1.90234 + 1.38213i) q^{14} +(2.36544 + 3.73729i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.52408 + 4.69064i) q^{17} -0.912530 q^{18} +(-0.309017 + 0.951057i) q^{19} +(1.19587 + 1.88942i) q^{20} +(1.43728 + 4.42349i) q^{21} +(-0.884703 - 2.72284i) q^{22} +(1.67555 + 1.21736i) q^{23} -1.97801 q^{24} +(4.38733 - 2.39820i) q^{25} -0.636056 q^{26} +(3.34046 + 2.42699i) q^{27} +(0.726629 + 2.23633i) q^{28} +(-0.148151 - 0.455963i) q^{29} +(-0.283042 + 4.41390i) q^{30} +(3.13614 - 9.65205i) q^{31} -1.00000 q^{32} +(1.74995 - 5.38580i) q^{33} +(-3.99009 + 2.89897i) q^{34} +(5.09432 - 1.30145i) q^{35} +(-0.738252 - 0.536372i) q^{36} +(3.88086 - 2.81961i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-1.01785 - 0.739508i) q^{39} +(-0.143094 + 2.23148i) q^{40} +(-7.46687 + 5.42500i) q^{41} +(-1.43728 + 4.42349i) q^{42} -11.6254 q^{43} +(0.884703 - 2.72284i) q^{44} +(-1.30254 + 1.57065i) q^{45} +(0.640005 + 1.96973i) q^{46} +(0.509664 + 1.56858i) q^{47} +(-1.60024 - 1.16265i) q^{48} -1.47082 q^{49} +(4.95905 + 0.638625i) q^{50} -9.75561 q^{51} +(-0.514580 - 0.373864i) q^{52} +(-0.610747 - 1.87969i) q^{53} +(1.27594 + 3.92695i) q^{54} +(-5.94937 - 2.36382i) q^{55} +(-0.726629 + 2.23633i) q^{56} -1.97801 q^{57} +(0.148151 - 0.455963i) q^{58} +(7.34133 - 5.33379i) q^{59} +(-2.82341 + 3.40455i) q^{60} +(-4.78506 - 3.47655i) q^{61} +(8.21052 - 5.96529i) q^{62} +(-1.73594 + 1.26123i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-0.907906 + 1.09478i) q^{65} +(4.58143 - 3.32861i) q^{66} +(-3.85046 + 11.8505i) q^{67} -4.93203 q^{68} +(-1.26594 + 3.89615i) q^{69} +(4.88637 + 1.94147i) q^{70} +(-2.82063 - 8.68100i) q^{71} +(-0.281987 - 0.867867i) q^{72} +(7.07380 + 5.13941i) q^{73} +4.79700 q^{74} +(7.19320 + 6.78757i) q^{75} -1.00000 q^{76} +(-5.44632 - 3.95698i) q^{77} +(-0.388782 - 1.19655i) q^{78} +(-4.04849 - 12.4600i) q^{79} +(-1.42740 + 1.72120i) q^{80} +(-3.36979 + 10.3712i) q^{81} -9.22956 q^{82} +(2.07839 - 6.39663i) q^{83} +(-3.76285 + 2.73387i) q^{84} +(-0.705744 + 11.0057i) q^{85} +(-9.40514 - 6.83324i) q^{86} +(0.767202 - 0.557405i) q^{87} +(2.31618 - 1.68280i) q^{88} +(8.47011 + 6.15389i) q^{89} +(-1.97698 + 0.505063i) q^{90} +(-1.20999 + 0.879112i) q^{91} +(-0.640005 + 1.96973i) q^{92} +20.0744 q^{93} +(-0.509664 + 1.56858i) q^{94} +(-0.143094 + 2.23148i) q^{95} +(-0.611239 - 1.88120i) q^{96} +(0.486019 + 1.49581i) q^{97} +(-1.18992 - 0.864529i) q^{98} +2.61253 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8}+O(q^{10}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8	\( 44 q + 11 q^{2} - q^{3} - 11 q^{4} - 11 q^{5} + q^{6} - 10 q^{7} + 11 q^{8} - 4 q^{10} + 7 q^{11} + 4 q^{12} + 10 q^{13} - 5 q^{14} - 20 q^{15} - 11 q^{16} + 11 q^{17} - 50 q^{18} + 11 q^{19} + 4 q^{20} + 9 q^{21} + 8 q^{22} - 7 q^{23} + 6 q^{24} - 3 q^{25} + 10 q^{26} + 5 q^{27} - 20 q^{29} - 10 q^{30} - 11 q^{31} - 44 q^{32} - 2 q^{33} - q^{34} + 5 q^{35} + 43 q^{37} - 11 q^{38} - 33 q^{39} - 4 q^{40} - 32 q^{41} - 9 q^{42} - 74 q^{43} - 8 q^{44} + 10 q^{45} - 8 q^{46} - 19 q^{47} + 4 q^{48} + 54 q^{49} + 18 q^{50} + 34 q^{51} + 10 q^{52} + 23 q^{53} - 40 q^{54} + 2 q^{55} + 6 q^{57} + 20 q^{58} + 24 q^{59} - 35 q^{60} - 12 q^{61} + q^{62} - 44 q^{63} - 11 q^{64} + 43 q^{65} - 8 q^{66} + 35 q^{67} - 24 q^{68} + 29 q^{69} - 5 q^{70} - 2 q^{71} + 25 q^{72} + 22 q^{73} + 72 q^{74} + 7 q^{75} - 44 q^{76} - 3 q^{77} - 22 q^{78} - 19 q^{79} - q^{80} - 26 q^{81} - 58 q^{82} - 24 q^{83} - 21 q^{84} - 18 q^{85} - 6 q^{86} + 83 q^{87} - 7 q^{88} - 8 q^{89} + 60 q^{90} - 30 q^{91} + 8 q^{92} - 72 q^{93} + 19 q^{94} - 4 q^{95} + q^{96} - 16 q^{97} + q^{98} + 84 q^{99}+O(q^{100}) \) 44 * q + 11 * q^2 - q^3 - 11 * q^4 - 11 * q^5 + q^6 - 10 * q^7 + 11 * q^8 - 4 * q^10 + 7 * q^11 + 4 * q^12 + 10 * q^13 - 5 * q^14 - 20 * q^15 - 11 * q^16 + 11 * q^17 - 50 * q^18 + 11 * q^19 + 4 * q^20 + 9 * q^21 + 8 * q^22 - 7 * q^23 + 6 * q^24 - 3 * q^25 + 10 * q^26 + 5 * q^27 - 20 * q^29 - 10 * q^30 - 11 * q^31 - 44 * q^32 - 2 * q^33 - q^34 + 5 * q^35 + 43 * q^37 - 11 * q^38 - 33 * q^39 - 4 * q^40 - 32 * q^41 - 9 * q^42 - 74 * q^43 - 8 * q^44 + 10 * q^45 - 8 * q^46 - 19 * q^47 + 4 * q^48 + 54 * q^49 + 18 * q^50 + 34 * q^51 + 10 * q^52 + 23 * q^53 - 40 * q^54 + 2 * q^55 + 6 * q^57 + 20 * q^58 + 24 * q^59 - 35 * q^60 - 12 * q^61 + q^62 - 44 * q^63 - 11 * q^64 + 43 * q^65 - 8 * q^66 + 35 * q^67 - 24 * q^68 + 29 * q^69 - 5 * q^70 - 2 * q^71 + 25 * q^72 + 22 * q^73 + 72 * q^74 + 7 * q^75 - 44 * q^76 - 3 * q^77 - 22 * q^78 - 19 * q^79 - q^80 - 26 * q^81 - 58 * q^82 - 24 * q^83 - 21 * q^84 - 18 * q^85 - 6 * q^86 + 83 * q^87 - 7 * q^88 - 8 * q^89 + 60 * q^90 - 30 * q^91 + 8 * q^92 - 72 * q^93 + 19 * q^94 - 4 * q^95 + q^96 - 16 * q^97 + q^98 + 84 * q^99

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