LMFDB - Embedded newform 950.2.n.a.39.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

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([3, 0]))

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.n (of order $10$, 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:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.4
Character	$\chi$	$=$	950.39
Dual form			950.2.n.a.609.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(-1.06179 - 0.344997i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.518181 - 2.17520i) q^{5} +(0.344997 + 1.06179i) q^{6} +0.133310i q^{7} +(0.951057 - 0.309017i) q^{8} +(-1.41867 - 1.03073i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(-1.06179 - 0.344997i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.518181 - 2.17520i) q^{5} +(0.344997 + 1.06179i) q^{6} +0.133310i q^{7} +(0.951057 - 0.309017i) q^{8} +(-1.41867 - 1.03073i) q^{9} +(-1.45519 + 1.69777i) q^{10} +(-4.32287 + 3.14075i) q^{11} +(0.656223 - 0.903214i) q^{12} +(1.56951 - 2.16024i) q^{13} +(0.107850 - 0.0783575i) q^{14} +(-0.200236 + 2.48838i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.848072 + 0.275555i) q^{17} +1.75358i q^{18} +(0.309017 + 0.951057i) q^{19} +(2.22886 + 0.179354i) q^{20} +(0.0459914 - 0.141547i) q^{21} +(5.08184 + 1.65119i) q^{22} +(2.80111 + 3.85540i) q^{23} -1.11643 q^{24} +(-4.46298 + 2.25429i) q^{25} -2.67020 q^{26} +(3.11941 + 4.29349i) q^{27} +(-0.126785 - 0.0411950i) q^{28} +(1.11563 - 3.43354i) q^{29} +(2.13084 - 1.30064i) q^{30} +(-2.12821 - 6.54997i) q^{31} +1.00000i q^{32} +(5.67354 - 1.84344i) q^{33} +(0.721414 + 0.524138i) q^{34} +(0.289975 - 0.0690786i) q^{35} +(1.41867 - 1.03073i) q^{36} +(-4.89434 + 6.73648i) q^{37} +(0.587785 - 0.809017i) q^{38} +(-2.41176 + 1.75225i) q^{39} +(-1.16499 - 1.90861i) q^{40} +(-0.144440 - 0.104942i) q^{41} +(-0.141547 + 0.0459914i) q^{42} +12.6768i q^{43} +(-1.65119 - 5.08184i) q^{44} +(-1.50690 + 3.62000i) q^{45} +(1.47263 - 4.53229i) q^{46} +(-8.23792 - 2.67666i) q^{47} +(0.656223 + 0.903214i) q^{48} +6.98223 q^{49} +(4.44703 + 2.28558i) q^{50} +0.995542 q^{51} +(1.56951 + 2.16024i) q^{52} +(-2.79503 - 0.908160i) q^{53} +(1.63997 - 5.04731i) q^{54} +(9.07179 + 7.77563i) q^{55} +(0.0411950 + 0.126785i) q^{56} -1.11643i q^{57} +(-3.43354 + 1.11563i) q^{58} +(11.5994 + 8.42748i) q^{59} +(-2.30471 - 0.959387i) q^{60} +(9.26496 - 6.73139i) q^{61} +(-4.04810 + 5.57174i) q^{62} +(0.137406 - 0.189123i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-5.51224 - 2.29459i) q^{65} +(-4.82620 - 3.50644i) q^{66} +(7.03744 - 2.28660i) q^{67} -0.891716i q^{68} +(-1.64409 - 5.06000i) q^{69} +(-0.226329 - 0.193991i) q^{70} +(-0.695660 + 2.14102i) q^{71} +(-1.66775 - 0.541885i) q^{72} +(8.95987 + 12.3322i) q^{73} +8.32674 q^{74} +(5.51647 - 0.853877i) q^{75} -1.00000 q^{76} +(-0.418693 - 0.576281i) q^{77} +(2.83520 + 0.921212i) q^{78} +(-5.13005 + 15.7887i) q^{79} +(-0.859332 + 2.06435i) q^{80} +(-0.205261 - 0.631729i) q^{81} +0.178538i q^{82} +(1.28804 - 0.418510i) q^{83} +(0.120407 + 0.0874809i) q^{84} +(1.03884 + 1.70194i) q^{85} +(10.2558 - 7.45126i) q^{86} +(-2.36912 + 3.26082i) q^{87} +(-3.14075 + 4.32287i) q^{88} +(-6.93891 + 5.04142i) q^{89} +(3.81438 - 0.908671i) q^{90} +(0.287981 + 0.209230i) q^{91} +(-4.53229 + 1.47263i) q^{92} +7.68893i q^{93} +(2.67666 + 8.23792i) q^{94} +(1.90861 - 1.16499i) q^{95} +(0.344997 - 1.06179i) q^{96} +(4.47510 + 1.45405i) q^{97} +(-4.10405 - 5.64874i) q^{98} +9.37000 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9}+O(q^{10}) $ 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9	$ 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9} + 26 q^{11} + 10 q^{12} - 10 q^{14} + 12 q^{15} - 22 q^{16} - 40 q^{17} - 22 q^{19} + 10 q^{23} + 8 q^{24} + 6 q^{25} - 28 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} - 4 q^{30} + 2 q^{31} - 8 q^{34} - 48 q^{35} - 24 q^{36} + 50 q^{37} + 8 q^{39} + 32 q^{41} + 10 q^{42} + 4 q^{44} - 8 q^{45} + 10 q^{46} + 10 q^{48} - 56 q^{49} + 28 q^{50} - 60 q^{51} - 70 q^{53} - 8 q^{54} + 4 q^{55} + 10 q^{56} - 60 q^{58} - 28 q^{59} - 12 q^{60} - 58 q^{61} + 60 q^{63} + 22 q^{64} - 24 q^{65} + 4 q^{66} - 70 q^{67} - 8 q^{69} - 4 q^{70} + 48 q^{71} + 40 q^{73} + 52 q^{74} + 108 q^{75} - 88 q^{76} - 50 q^{78} - 20 q^{79} + 24 q^{81} - 80 q^{83} + 30 q^{85} + 20 q^{86} + 70 q^{87} + 10 q^{88} - 62 q^{89} - 104 q^{90} + 20 q^{91} - 10 q^{92} - 10 q^{94} + 2 q^{96} - 10 q^{97} + 60 q^{98} + 156 q^{99}+O(q^{100}) $ 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9 + 26 * q^11 + 10 * q^12 - 10 * q^14 + 12 * q^15 - 22 * q^16 - 40 * q^17 - 22 * q^19 + 10 * q^23 + 8 * q^24 + 6 * q^25 - 28 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 - 4 * q^30 + 2 * q^31 - 8 * q^34 - 48 * q^35 - 24 * q^36 + 50 * q^37 + 8 * q^39 + 32 * q^41 + 10 * q^42 + 4 * q^44 - 8 * q^45 + 10 * q^46 + 10 * q^48 - 56 * q^49 + 28 * q^50 - 60 * q^51 - 70 * q^53 - 8 * q^54 + 4 * q^55 + 10 * q^56 - 60 * q^58 - 28 * q^59 - 12 * q^60 - 58 * q^61 + 60 * q^63 + 22 * q^64 - 24 * q^65 + 4 * q^66 - 70 * q^67 - 8 * q^69 - 4 * q^70 + 48 * q^71 + 40 * q^73 + 52 * q^74 + 108 * q^75 - 88 * q^76 - 50 * q^78 - 20 * q^79 + 24 * q^81 - 80 * q^83 + 30 * q^85 + 20 * q^86 + 70 * q^87 + 10 * q^88 - 62 * q^89 - 104 * q^90 + 20 * q^91 - 10 * q^92 - 10 * q^94 + 2 * q^96 - 10 * q^97 + 60 * q^98 + 156 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

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 $

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	−1.06179	−	0.344997i	−0.613025	−	0.199184i	−0.0139842	−	0.999902i	$-0.504451\pi$
$3$	−1.06179	−	0.344997i	−0.613025	−	0.199184i	−0.599041	+	0.800718i	$0.704451\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	−0.518181	−	2.17520i	−0.231738	−	0.972778i
$5$	−0.518181	−	2.17520i	−0.231738	−	0.972778i
$6$	0.344997	+	1.06179i	0.140844	+	0.433474i
$7$			0.133310i			0.0503863i	0.999683	+	0.0251932i	$0.00802008\pi$
$7$			0.133310i			0.0503863i	−0.999683	+	0.0251932i	$0.991980\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	−1.41867	−	1.03073i	−0.472891	−	0.343576i
$10$	−1.45519	+	1.69777i	−0.460172	+	0.536881i
$11$	−4.32287	+	3.14075i	−1.30340	+	0.946972i	−0.999983	−	0.00588687i	$-0.998126\pi$
$11$	−4.32287	+	3.14075i	−1.30340	+	0.946972i	−0.303413	+	0.952859i	$0.598126\pi$
$12$	0.656223	−	0.903214i	0.189435	−	0.260735i
$13$	1.56951	−	2.16024i	0.435303	−	0.599143i	−0.533857	−	0.845575i	$-0.679258\pi$
$13$	1.56951	−	2.16024i	0.435303	−	0.599143i	0.969160	+	0.246432i	$0.0792581\pi$
$14$	0.107850	−	0.0783575i	0.0288241	−	0.0209419i
$15$	−0.200236	+	2.48838i	−0.0517008	+	0.642496i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−0.848072	+	0.275555i	−0.205688	+	0.0668320i	−0.410049	−	0.912064i	$-0.634488\pi$
$17$	−0.848072	+	0.275555i	−0.205688	+	0.0668320i	0.204361	+	0.978896i	$0.434488\pi$
$18$			1.75358i			0.413322i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$20$	2.22886	+	0.179354i	0.498389	+	0.0401047i
$21$	0.0459914	−	0.141547i	0.0100362	−	0.0308881i
$22$	5.08184	+	1.65119i	1.08345	+	0.352035i
$23$	2.80111	+	3.85540i	0.584072	+	0.803906i	0.994134	−	0.108152i	$-0.0344932\pi$
$23$	2.80111	+	3.85540i	0.584072	+	0.803906i	−0.410063	+	0.912057i	$0.634493\pi$
$24$	−1.11643			−0.227891
$25$	−4.46298	+	2.25429i	−0.892595	+	0.450859i
$26$	−2.67020			−0.523670
$27$	3.11941	+	4.29349i	0.600330	+	0.826283i
$28$	−0.126785	−	0.0411950i	−0.0239601	−	0.00778512i
$29$	1.11563	−	3.43354i	0.207166	−	0.637593i	−0.792451	−	0.609936i	$-0.791195\pi$
$29$	1.11563	−	3.43354i	0.207166	−	0.637593i	0.999617	−	0.0276572i	$-0.00880467\pi$
$30$	2.13084	−	1.30064i	0.389036	−	0.237463i
$31$	−2.12821	−	6.54997i	−0.382238	−	1.17641i	−0.938464	−	0.345378i	$-0.887751\pi$
$31$	−2.12821	−	6.54997i	−0.382238	−	1.17641i	0.556225	−	0.831031i	$-0.312249\pi$
$32$			1.00000i			0.176777i
$33$	5.67354	−	1.84344i	0.987636	−	0.320903i
$34$	0.721414	+	0.524138i	0.123721	+	0.0898889i
$35$	0.289975	−	0.0690786i	0.0490147	−	0.0116764i
$36$	1.41867	−	1.03073i	0.236446	−	0.171788i
$37$	−4.89434	+	6.73648i	−0.804624	+	1.10747i	0.187507	+	0.982263i	$0.439959\pi$
$37$	−4.89434	+	6.73648i	−0.804624	+	1.10747i	−0.992131	+	0.125207i	$0.960041\pi$
$38$	0.587785	−	0.809017i	0.0953514	−	0.131240i
$39$	−2.41176	+	1.75225i	−0.386191	+	0.280585i
$40$	−1.16499	−	1.90861i	−0.184202	−	0.301778i
$41$	−0.144440	−	0.104942i	−0.0225577	−	0.0163892i	0.576449	−	0.817133i	$-0.304438\pi$
$41$	−0.144440	−	0.104942i	−0.0225577	−	0.0163892i	−0.599007	+	0.800744i	$0.704438\pi$
$42$	−0.141547	+	0.0459914i	−0.0218412	+	0.00709663i
$43$			12.6768i			1.93320i	0.256288	+	0.966601i	$0.417501\pi$
$43$			12.6768i			1.93320i	−0.256288	+	0.966601i	$0.582499\pi$
$44$	−1.65119	−	5.08184i	−0.248926	−	0.766117i
$45$	−1.50690	+	3.62000i	−0.224636	+	0.539638i
$46$	1.47263	−	4.53229i	0.217128	−	0.668250i
$47$	−8.23792	−	2.67666i	−1.20162	−	0.390431i	−0.361266	−	0.932463i	$-0.617655\pi$
$47$	−8.23792	−	2.67666i	−1.20162	−	0.390431i	−0.840358	+	0.542031i	$0.817655\pi$
$48$	0.656223	+	0.903214i	0.0947176	+	0.130368i
$49$	6.98223			0.997461
$50$	4.44703	+	2.28558i	0.628906	+	0.323230i
$51$	0.995542			0.139404
$52$	1.56951	+	2.16024i	0.217651	+	0.299571i
$53$	−2.79503	−	0.908160i	−0.383927	−	0.124745i	0.110694	−	0.993855i	$-0.464693\pi$
$53$	−2.79503	−	0.908160i	−0.383927	−	0.124745i	−0.494620	+	0.869109i	$0.664693\pi$
$54$	1.63997	−	5.04731i	0.223172	−	0.686851i
$55$	9.07179	+	7.77563i	1.22324	+	1.04847i
$56$	0.0411950	+	0.126785i	0.00550491	+	0.0169424i
$57$		−	1.11643i		−	0.147875i
$58$	−3.43354	+	1.11563i	−0.450846	+	0.146489i
$59$	11.5994	+	8.42748i	1.51012	+	1.09716i	0.966125	+	0.258073i	$0.0830875\pi$
$59$	11.5994	+	8.42748i	1.51012	+	1.09716i	0.543991	+	0.839091i	$0.316912\pi$
$60$	−2.30471	−	0.959387i	−0.297537	−	0.123856i
$61$	9.26496	−	6.73139i	1.18626	−	0.861866i	0.193393	−	0.981121i	$-0.438051\pi$
$61$	9.26496	−	6.73139i	1.18626	−	0.861866i	0.992864	+	0.119256i	$0.0380509\pi$
$62$	−4.04810	+	5.57174i	−0.514110	+	0.707611i
$63$	0.137406	−	0.189123i	0.0173115	−	0.0238272i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−5.51224	−	2.29459i	−0.683709	−	0.284609i
$66$	−4.82620	−	3.50644i	−0.594064	−	0.431613i
$67$	7.03744	−	2.28660i	0.859760	−	0.279353i	0.154232	−	0.988035i	$-0.450710\pi$
$67$	7.03744	−	2.28660i	0.859760	−	0.279353i	0.705528	+	0.708682i	$0.250710\pi$
$68$		−	0.891716i		−	0.108136i
$69$	−1.64409	−	5.06000i	−0.197926	−	0.609152i
$70$	−0.226329	−	0.193991i	−0.0270515	−	0.0231864i
$71$	−0.695660	+	2.14102i	−0.0825597	+	0.254093i	−0.983812	−	0.179201i	$-0.942649\pi$
$71$	−0.695660	+	2.14102i	−0.0825597	+	0.254093i	0.901253	+	0.433294i	$0.142649\pi$
$72$	−1.66775	−	0.541885i	−0.196546	−	0.0638618i
$73$	8.95987	+	12.3322i	1.04867	+	1.44337i	0.889954	+	0.456051i	$0.150737\pi$
$73$	8.95987	+	12.3322i	1.04867	+	1.44337i	0.158720	+	0.987324i	$0.449263\pi$
$74$	8.32674			0.967964
$75$	5.51647	−	0.853877i	0.636987	−	0.0985972i
$76$	−1.00000			−0.114708
$77$	−0.418693	−	0.576281i	−0.0477145	−	0.0656733i
$78$	2.83520	+	0.921212i	0.321023	+	0.104307i
$79$	−5.13005	+	15.7887i	−0.577176	+	1.77636i	0.0514734	+	0.998674i	$0.483608\pi$
$79$	−5.13005	+	15.7887i	−0.577176	+	1.77636i	−0.628649	+	0.777689i	$0.716392\pi$
$80$	−0.859332	+	2.06435i	−0.0960763	+	0.230802i
$81$	−0.205261	−	0.631729i	−0.0228068	−	0.0701921i
$82$			0.178538i			0.0197162i
$83$	1.28804	−	0.418510i	0.141381	−	0.0459374i	−0.237472	−	0.971394i	$-0.576319\pi$
$83$	1.28804	−	0.418510i	0.141381	−	0.0459374i	0.378853	+	0.925457i	$0.376319\pi$
$84$	0.120407	+	0.0874809i	0.0131375	+	0.00954495i
$85$	1.03884	+	1.70194i	0.112678	+	0.184601i
$86$	10.2558	−	7.45126i	1.10591	−	0.803490i
$87$	−2.36912	+	3.26082i	−0.253997	+	0.349596i
$88$	−3.14075	+	4.32287i	−0.334805	+	0.460820i
$89$	−6.93891	+	5.04142i	−0.735523	+	0.534389i	−0.891306	−	0.453402i	$-0.850210\pi$
$89$	−6.93891	+	5.04142i	−0.735523	+	0.534389i	0.155783	+	0.987791i	$0.450210\pi$
$90$	3.81438	−	0.908671i	0.402071	−	0.0957823i
$91$	0.287981	+	0.209230i	0.0301886	+	0.0219333i
$92$	−4.53229	+	1.47263i	−0.472524	+	0.153532i
$93$			7.68893i			0.797304i
$94$	2.67666	+	8.23792i	0.276077	+	0.849677i
$95$	1.90861	−	1.16499i	0.195819	−	0.119526i
$96$	0.344997	−	1.06179i	0.0352111	−	0.108369i
$97$	4.47510	+	1.45405i	0.454377	+	0.147636i	0.527259	−	0.849704i	$-0.323220\pi$
$97$	4.47510	+	1.45405i	0.454377	+	0.147636i	−0.0728820	+	0.997341i	$0.523220\pi$
$98$	−4.10405	−	5.64874i	−0.414572	−	0.570609i
$99$	9.37000			0.941721
$100$	−0.764826	−	4.94116i	−0.0764826	−	0.494116i
$101$	−18.8524			−1.87588			−0.937941	−	0.346794i	$-0.887270\pi$
$101$	−18.8524			−1.87588			−0.937941	+	0.346794i	$0.887270\pi$
$102$	−0.585165	−	0.805410i	−0.0579399	−	0.0797475i
$103$	−4.81505	−	1.56450i	−0.474441	−	0.154155i	0.0620296	−	0.998074i	$-0.480243\pi$
$103$	−4.81505	−	1.56450i	−0.474441	−	0.154155i	−0.536470	+	0.843919i	$0.680243\pi$
$104$	0.825139	−	2.53952i	0.0809115	−	0.249020i
$105$	−0.331725	−	0.0266934i	−0.0323730	−	0.00260501i
$106$	0.908160	+	2.79503i	0.0882083	+	0.271477i
$107$		−	4.85210i		−	0.469070i	−0.972108	−	0.234535i	$-0.924643\pi$
$107$		−	4.85210i		−	0.469070i	0.972108	−	0.234535i	$-0.0753568\pi$
$108$	−5.04731	+	1.63997i	−0.485677	+	0.157806i
$109$	−0.377925	−	0.274578i	−0.0361986	−	0.0262998i	0.569539	−	0.821964i	$-0.307122\pi$
$109$	−0.377925	−	0.274578i	−0.0361986	−	0.0262998i	−0.605737	+	0.795665i	$0.707122\pi$
$110$	0.958352	−	11.9096i	0.0913753	−	1.13554i
$111$	7.52083	−	5.46420i	0.713845	−	0.518639i
$112$	0.0783575	−	0.107850i	0.00740409	−	0.0101908i
$113$	−4.42890	+	6.09585i	−0.416636	+	0.573450i	−0.964821	−	0.262907i	$-0.915319\pi$
$113$	−4.42890	+	6.09585i	−0.416636	+	0.573450i	0.548186	+	0.836357i	$0.315319\pi$
$114$	−0.903214	+	0.656223i	−0.0845937	+	0.0614609i
$115$	6.93477	−	8.09076i	0.646671	−	0.754468i
$116$	2.92075	+	2.12205i	0.271184	+	0.197027i
$117$	−4.45323	+	1.44694i	−0.411702	+	0.133770i
$118$		−	14.3377i		−	1.31989i
$119$	−0.0367342	−	0.113056i	−0.00336742	−	0.0103639i
$120$	0.578515	+	2.42846i	0.0528109	+	0.221687i
$121$	5.42373	−	16.6925i	0.493066	−	1.51750i
$122$	−10.8916	−	3.53890i	−0.986080	−	0.320397i
$123$	0.117161	+	0.161258i	0.0105640	+	0.0145401i
$124$	6.88704			0.618475
$125$	7.21617	+	8.53973i	0.645434	+	0.763816i
$126$	−0.233769			−0.0208258
$127$	9.25933	+	12.7444i	0.821633	+	1.13088i	0.989423	+	0.145058i	$0.0463369\pi$
$127$	9.25933	+	12.7444i	0.821633	+	1.13088i	−0.167790	+	0.985823i	$0.553663\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	4.37347	−	13.4602i	0.385063	−	1.18510i
$130$	1.38365	+	5.80822i	0.121354	+	0.509415i
$131$	−6.73804	−	20.7375i	−0.588705	−	1.81185i	−0.583852	−	0.811860i	$-0.698455\pi$
$131$	−6.73804	−	20.7375i	−0.588705	−	1.81185i	−0.00485276	−	0.999988i	$-0.501545\pi$
$132$			5.96551i			0.519231i
$133$	−0.126785	+	0.0411950i	−0.0109937	+	0.00357206i
$134$	−5.98640	−	4.34938i	−0.517146	−	0.375729i
$135$	7.72278	−	9.01014i	0.664672	−	0.775469i
$136$	−0.721414	+	0.524138i	−0.0618607	+	0.0449444i
$137$	−10.3931	+	14.3048i	−0.887939	+	1.22214i	0.0862190	+	0.996276i	$0.472522\pi$
$137$	−10.3931	+	14.3048i	−0.887939	+	1.22214i	−0.974158	+	0.225867i	$0.927478\pi$
$138$	−3.12725	+	4.30429i	−0.266209	+	0.366406i
$139$	6.90895	−	5.01965i	0.586010	−	0.425761i	−0.254876	−	0.966974i	$-0.582035\pi$
$139$	6.90895	−	5.01965i	0.586010	−	0.425761i	0.840886	+	0.541213i	$0.182035\pi$
$140$	−0.0239096	+	0.297129i	−0.00202073	+	0.0251120i
$141$	7.82351	+	5.68411i	0.658858	+	0.478689i
$142$	2.14102	−	0.695660i	0.179671	−	0.0583785i
$143$			14.2679i			1.19314i
$144$	0.541885	+	1.66775i	0.0451571	+	0.138979i
$145$	−8.04673	−	0.647510i	−0.668245	−	0.0537727i
$146$	4.71048	−	14.4974i	0.389842	−	1.19981i
$147$	−7.41367	−	2.40885i	−0.611469	−	0.198678i
$148$	−4.89434	−	6.73648i	−0.402312	−	0.553735i
$149$	−19.4025			−1.58951			−0.794757	−	0.606928i	$-0.792402\pi$
$149$	−19.4025			−1.58951			−0.794757	+	0.606928i	$0.792402\pi$
$150$	−3.93330	−	3.96102i	−0.321153	−	0.323416i
$151$	−15.5311			−1.26391			−0.631953	−	0.775007i	$-0.717746\pi$
$151$	−15.5311			−1.26391			−0.631953	+	0.775007i	$0.717746\pi$
$152$	0.587785	+	0.809017i	0.0476757	+	0.0656199i
$153$	1.48716	+	0.483208i	0.120230	+	0.0390650i
$154$	−0.220120	+	0.677459i	−0.0177378	+	0.0545912i
$155$	−13.1447	+	8.02336i	−1.05581	+	0.644452i
$156$	−0.921212	−	2.83520i	−0.0737560	−	0.226998i
$157$		−	15.5587i		−	1.24172i	−0.783920	−	0.620862i	$-0.786783\pi$
$157$		−	15.5587i		−	1.24172i	0.783920	−	0.620862i	$-0.213217\pi$
$158$	15.7887	−	5.13005i	1.25608	−	0.408125i
$159$	2.65442	+	1.92855i	0.210509	+	0.152944i
$160$	2.17520	−	0.518181i	0.171965	−	0.0409658i
$161$	−0.513962	+	0.373415i	−0.0405059	+	0.0294292i
$162$	−0.390430	+	0.537381i	−0.0306751	+	0.0422206i
$163$	5.14496	−	7.08142i	0.402984	−	0.554660i	−0.558506	−	0.829501i	$-0.688625\pi$
$163$	5.14496	−	7.08142i	0.402984	−	0.554660i	0.961490	+	0.274841i	$0.0886251\pi$
$164$	0.144440	−	0.104942i	0.0112789	−	0.00819458i
$165$	−6.94978	−	11.3858i	−0.541040	−	0.886386i
$166$	−1.09567	−	0.796053i	−0.0850407	−	0.0617857i
$167$	−10.6653	+	3.46538i	−0.825308	+	0.268159i	−0.691068	−	0.722790i	$-0.742859\pi$
$167$	−10.6653	+	3.46538i	−0.825308	+	0.268159i	−0.134240	+	0.990949i	$0.542859\pi$
$168$		−	0.148831i		−	0.0114826i
$169$	1.81393	+	5.58271i	0.139533	+	0.429439i
$170$	0.766280	−	1.84082i	0.0587710	−	0.141184i
$171$	0.541885	−	1.66775i	0.0414390	−	0.127536i
$172$	−12.0564	−	3.91736i	−0.919292	−	0.298696i
$173$	0.773045	+	1.06400i	0.0587735	+	0.0808948i	0.837392	−	0.546603i	$-0.184079\pi$
$173$	0.773045	+	1.06400i	0.0587735	+	0.0808948i	−0.778619	+	0.627498i	$0.784079\pi$
$174$	4.03059			0.305558
$175$	−0.300519	−	0.594958i	−0.0227171	−	0.0449746i
$176$	5.34337			0.402771
$177$	−9.40872	−	12.9500i	−0.707202	−	0.973381i
$178$	8.15718	+	2.65043i	0.611407	+	0.198658i
$179$	5.17463	−	15.9259i	0.386770	−	1.19036i	−0.548418	−	0.836204i	$-0.684770\pi$
$179$	5.17463	−	15.9259i	0.386770	−	1.19036i	0.935188	−	0.354151i	$-0.115230\pi$
$180$	−2.97716	−	2.55179i	−0.221905	−	0.190199i
$181$	−1.37874	−	4.24332i	−0.102481	−	0.315404i	0.886650	−	0.462441i	$-0.153026\pi$
$181$	−1.37874	−	4.24332i	−0.102481	−	0.315404i	−0.989131	+	0.147037i	$0.953026\pi$
$182$		−	0.355964i		−	0.0263858i
$183$	−12.1598	+	3.95094i	−0.898875	+	0.292062i
$184$	3.85540	+	2.80111i	0.284224	+	0.206501i
$185$	17.1893	+	7.15544i	1.26378	+	0.526078i
$186$	6.22047	−	4.51944i	0.456107	−	0.331381i
$187$	2.80066	−	3.85478i	0.204804	−	0.281889i
$188$	5.09131	−	7.00759i	0.371322	−	0.511081i
$189$	−0.572364	+	0.415847i	−0.0416334	+	0.0302484i
$190$	−2.06435	−	0.859332i	−0.149764	−	0.0623425i
$191$	−4.80228	−	3.48906i	−0.347481	−	0.252460i	0.400331	−	0.916371i	$-0.368895\pi$
$191$	−4.80228	−	3.48906i	−0.347481	−	0.252460i	−0.747811	+	0.663911i	$0.768895\pi$
$192$	−1.06179	+	0.344997i	−0.0766282	+	0.0248980i
$193$			22.1810i			1.59662i	0.602247	+	0.798310i	$0.294272\pi$
$193$			22.1810i			1.59662i	−0.602247	+	0.798310i	$0.705728\pi$
$194$	−1.45405	−	4.47510i	−0.104394	−	0.321293i
$195$	5.06122	+	4.33808i	0.362442	+	0.310657i
$196$	−2.15763	+	6.64049i	−0.154116	+	0.474321i
$197$	−15.8377	−	5.14599i	−1.12839	−	0.366637i	−0.315427	−	0.948950i	$-0.602148\pi$
$197$	−15.8377	−	5.14599i	−1.12839	−	0.366637i	−0.812965	+	0.582313i	$0.802148\pi$
$198$	−5.50755	−	7.58049i	−0.391404	−	0.538722i
$199$	−15.9187			−1.12845			−0.564223	−	0.825622i	$-0.690824\pi$
$199$	−15.9187			−1.12845			−0.564223	+	0.825622i	$0.690824\pi$
$200$	−3.54793	+	3.52310i	−0.250876	+	0.249121i
$201$	−8.26116			−0.582697
$202$	11.0812	+	15.2519i	0.779667	+	1.07312i
$203$	0.457724	+	0.148724i	0.0321260	+	0.0104384i
$204$	−0.307639	+	0.946816i	−0.0215391	+	0.0662904i
$205$	−0.153423	+	0.368565i	−0.0107155	+	0.0257417i
$206$	1.56450	+	4.81505i	0.109004	+	0.335480i
$207$		−	8.35673i		−	0.580833i
$208$	−2.53952	+	0.825139i	−0.176084	+	0.0572131i
$209$	−4.32287	−	3.14075i	−0.299019	−	0.217250i
$210$	0.173388	+	0.284061i	0.0119649	+	0.0196021i
$211$	−21.4838	+	15.6089i	−1.47900	+	1.07456i	−0.501128	+	0.865373i	$0.667081\pi$
$211$	−21.4838	+	15.6089i	−1.47900	+	1.07456i	−0.977876	+	0.209186i	$0.932919\pi$
$212$	1.72742	−	2.37759i	0.118640	−	0.163294i
$213$	1.47729	−	2.03332i	0.101222	−	0.139321i
$214$	−3.92543	+	2.85199i	−0.268337	+	0.194958i
$215$	27.5747	−	6.56890i	1.88058	−	0.447996i
$216$	4.29349	+	3.11941i	0.292135	+	0.212249i
$217$	0.873174	−	0.283712i	0.0592749	−	0.0192596i
$218$			0.467141i			0.0316387i
$219$	−5.25894	−	16.1853i	−0.355366	−	1.09370i
$220$	−10.1984	+	6.22498i	−0.687576	+	0.419688i
$221$	−0.735789	+	2.26453i	−0.0494946	+	0.152329i
$222$	−8.84126	−	2.87270i	−0.593387	−	0.192803i
$223$	10.8468	+	14.9293i	0.726352	+	0.999738i	0.999289	+	0.0377062i	$0.0120051\pi$
$223$	10.8468	+	14.9293i	0.726352	+	0.999738i	−0.272937	+	0.962032i	$0.587995\pi$
$224$	−0.133310			−0.00890713
$225$	8.65507	+	1.40200i	0.577004	+	0.0934667i
$226$	7.53489			0.501213
$227$	13.2320	+	18.2123i	0.878239	+	1.20879i	0.976905	+	0.213672i	$0.0685425\pi$
$227$	13.2320	+	18.2123i	0.878239	+	1.20879i	−0.0986660	+	0.995121i	$0.531458\pi$
$228$	1.06179	+	0.344997i	0.0703188	+	0.0228480i
$229$	−0.436295	+	1.34278i	−0.0288312	+	0.0887332i	−0.964437	−	0.264314i	$-0.914854\pi$
$229$	−0.436295	+	1.34278i	−0.0288312	+	0.0887332i	0.935606	+	0.353047i	$0.114854\pi$
$230$	−10.6217	−	0.854715i	−0.700375	−	0.0563583i
$231$	0.245749	+	0.756338i	0.0161691	+	0.0497634i
$232$		−	3.61024i		−	0.237024i
$233$	−7.74910	+	2.51784i	−0.507661	+	0.164949i	−0.551638	−	0.834084i	$-0.685997\pi$
$233$	−7.74910	+	2.51784i	−0.507661	+	0.164949i	0.0439775	+	0.999033i	$0.485997\pi$
$234$	3.78815	+	2.75225i	0.247639	+	0.179920i
$235$	−1.55354	+	19.3061i	−0.101342	+	1.25939i
$236$	−11.5994	+	8.42748i	−0.755058	+	0.548582i
$237$	10.8941	−	14.9944i	0.707647	−	0.973992i
$238$	−0.0698726	+	0.0961714i	−0.00452917	+	0.00623387i
$239$	0.259730	−	0.188705i	0.0168006	−	0.0122063i	−0.579353	−	0.815077i	$-0.696695\pi$
$239$	0.259730	−	0.188705i	0.0168006	−	0.0122063i	0.596154	+	0.802870i	$0.296695\pi$
$240$	1.62463	−	1.89544i	0.104869	−	0.122350i
$241$	−10.8353	−	7.87227i	−0.697960	−	0.507098i	0.181307	−	0.983427i	$-0.441967\pi$
$241$	−10.8353	−	7.87227i	−0.697960	−	0.507098i	−0.879267	+	0.476329i	$0.841967\pi$
$242$	−16.6925	+	5.42373i	−1.07304	+	0.348651i
$243$		−	15.1796i		−	0.973770i
$244$	3.53890	+	10.8916i	0.226555	+	0.697264i
$245$	−3.61806	−	15.1877i	−0.231149	−	0.970309i
$246$	0.0615950	−	0.189570i	0.00392715	−	0.0120865i
$247$	2.53952	+	0.825139i	0.161585	+	0.0525023i
$248$	−4.04810	−	5.57174i	−0.257055	−	0.353806i
$249$	−1.51201			−0.0958200
$250$	2.66723	−	10.8575i	0.168690	−	0.686690i
$251$	−10.4654			−0.660568			−0.330284	−	0.943882i	$-0.607144\pi$
$251$	−10.4654			−0.660568			−0.330284	+	0.943882i	$0.607144\pi$
$252$	0.137406	+	0.189123i	0.00865575	+	0.0119136i
$253$	−24.2177	−	7.86880i	−1.52255	−	0.494707i
$254$	4.86792	−	14.9819i	0.305440	−	0.940049i
$255$	−0.515871	−	2.16550i	−0.0323051	−	0.135609i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$		−	13.1998i		−	0.823380i	−0.911324	−	0.411690i	$-0.864939\pi$
$257$		−	13.1998i		−	0.823380i	0.911324	−	0.411690i	$-0.135061\pi$
$258$	−13.4602	+	4.37347i	−0.837993	+	0.272281i
$259$	−0.898038	−	0.652463i	−0.0558014	−	0.0405421i
$260$	3.88566	−	4.53339i	0.240979	−	0.281149i
$261$	−5.12175	+	3.72117i	−0.317028	+	0.230335i
$262$	−12.8165	+	17.6404i	−0.791807	+	1.08983i
$263$	5.93920	−	8.17461i	0.366227	−	0.504068i	−0.585644	−	0.810569i	$-0.699158\pi$
$263$	5.93920	−	8.17461i	0.366227	−	0.504068i	0.951870	+	0.306501i	$0.0991581\pi$
$264$	4.82620	−	3.50644i	0.297032	−	0.215806i
$265$	−0.527096	+	6.55033i	−0.0323793	+	0.402384i
$266$	0.107850	+	0.0783575i	0.00661270	+	0.00480440i
$267$	9.10695	−	2.95903i	0.557336	−	0.181090i
$268$			7.39960i			0.452002i
$269$	−3.82497	−	11.7720i	−0.233213	−	0.717754i	−0.997353	−	0.0727050i	$-0.976837\pi$
$269$	−3.82497	−	11.7720i	−0.233213	−	0.717754i	0.764141	−	0.645049i	$-0.223163\pi$
$270$	−11.8287	−	0.951839i	−0.719871	−	0.0579271i
$271$	1.58323	−	4.87268i	0.0961744	−	0.295995i	−0.891384	−	0.453250i	$-0.850265\pi$
$271$	1.58323	−	4.87268i	0.0961744	−	0.295995i	0.987558	+	0.157255i	$0.0502646\pi$
$272$	0.848072	+	0.275555i	0.0514219	+	0.0167080i
$273$	−0.233592	−	0.321512i	−0.0141376	−	0.0194588i
$274$	17.6817			1.06819
$275$	12.2127	−	23.7621i	0.736454	−	1.43291i
$276$	5.32040			0.320250
$277$	−16.7338	−	23.0321i	−1.00543	−	1.38386i	−0.921931	−	0.387355i	$-0.873389\pi$
$277$	−16.7338	−	23.0321i	−1.00543	−	1.38386i	−0.0835039	−	0.996507i	$-0.526611\pi$
$278$	−8.12196	−	2.63898i	−0.487123	−	0.158276i
$279$	−3.73199	+	11.4859i	−0.223428	+	0.687641i
$280$	0.254436	−	0.155305i	0.0152055	−	0.00928124i
$281$	0.611462	+	1.88189i	0.0364768	+	0.112264i	0.967637	−	0.252346i	$-0.0812022\pi$
$281$	0.611462	+	1.88189i	0.0364768	+	0.112264i	−0.931160	+	0.364610i	$0.881202\pi$
$282$		−	9.67039i		−	0.575863i
$283$	11.0689	−	3.59651i	0.657979	−	0.213790i	0.0390501	−	0.999237i	$-0.487567\pi$
$283$	11.0689	−	3.59651i	0.657979	−	0.213790i	0.618929	+	0.785447i	$0.287567\pi$
$284$	−1.82126	−	1.32322i	−0.108072	−	0.0785189i
$285$	−2.42846	+	0.578515i	−0.143850	+	0.0342683i
$286$	11.5430	−	8.38645i	0.682549	−	0.495901i
$287$	0.0139898	−	0.0192553i	0.000825790	−	0.00113660i
$288$	1.03073	−	1.41867i	0.0607361	−	0.0835961i
$289$	−13.1100	+	9.52497i	−0.771176	+	0.560292i
$290$	4.20590	+	6.89054i	0.246979	+	0.404626i
$291$	−4.24998	−	3.08779i	−0.249138	−	0.181009i
$292$	−14.4974	+	4.71048i	−0.848394	+	0.275660i
$293$		−	10.1168i		−	0.591029i	−0.955338	−	0.295514i	$-0.904509\pi$
$293$		−	10.1168i		−	0.591029i	0.955338	−	0.295514i	$-0.0954910\pi$
$294$	2.40885	+	7.41367i	0.140487	+	0.432374i
$295$	12.3208	−	29.5980i	0.717346	−	1.72326i
$296$	−2.57311	+	7.91920i	−0.149559	+	0.460294i
$297$	−26.9696	−	8.76296i	−1.56494	−	0.508478i
$298$	11.4045	+	15.6969i	0.660645	+	0.909299i
$299$	12.7249			0.735903
$300$	−0.892599	+	5.51034i	−0.0515342	+	0.318140i
$301$	−1.68995			−0.0974069
$302$	9.12897	+	12.5649i	0.525313	+	0.723032i
$303$	20.0173	+	6.50402i	1.14996	+	0.373646i
$304$	0.309017	−	0.951057i	0.0177233	−	0.0545468i
$305$	−19.4430	−	16.6650i	−1.11330	−	0.954238i
$306$	−0.483208	−	1.48716i	−0.0276231	−	0.0850153i
$307$			24.3970i			1.39241i	0.717842	+	0.696206i	$0.245130\pi$
$307$			24.3970i			1.39241i	−0.717842	+	0.696206i	$0.754870\pi$
$308$	0.677459	−	0.220120i	0.0386018	−	0.0125425i
$309$	4.57283	+	3.32235i	0.260139	+	0.189002i
$310$	14.2173	+	5.91826i	0.807487	+	0.336134i
$311$	−21.5657	+	15.6684i	−1.22288	+	0.888475i	−0.996336	−	0.0855261i	$-0.972743\pi$
$311$	−21.5657	+	15.6684i	−1.22288	+	0.888475i	−0.226545	+	0.974001i	$0.572743\pi$
$312$	−1.75225	+	2.41176i	−0.0992016	+	0.136539i
$313$	8.22075	−	11.3149i	0.464664	−	0.639555i	−0.510804	−	0.859697i	$-0.670652\pi$
$313$	8.22075	−	11.3149i	0.464664	−	0.639555i	0.975468	+	0.220142i	$0.0706521\pi$
$314$	−12.5873	+	9.14520i	−0.710342	+	0.516094i
$315$	−0.482581	−	0.200885i	−0.0271904	−	0.0113186i
$316$	−13.4306	−	9.75793i	−0.755533	−	0.548927i
$317$	−2.81296	+	0.913987i	−0.157992	+	0.0513346i	−0.386945	−	0.922103i	$-0.626470\pi$
$317$	−2.81296	+	0.913987i	−0.157992	+	0.0513346i	0.228953	+	0.973437i	$0.426470\pi$
$318$		−	3.28105i		−	0.183992i
$319$	5.96119	+	18.3467i	0.333763	+	1.02722i
$320$	−1.69777	−	1.45519i	−0.0949081	−	0.0813478i
$321$	−1.67396	+	5.15192i	−0.0934313	+	0.287552i
$322$	0.604198	+	0.196316i	0.0336707	+	0.0109403i
$323$	−0.524138	−	0.721414i	−0.0291638	−	0.0401405i
$324$	0.664239			0.0369022
$325$	−2.13485	+	13.1792i	−0.118420	+	0.731052i
$326$	−8.75312			−0.484791
$327$	0.306548	+	0.421928i	0.0169522	+	0.0233327i
$328$	−0.169799	−	0.0551712i	−0.00937561	−	0.00304632i
$329$	0.356825	−	1.09819i	0.0196724	−	0.0605454i
$330$	−5.12636	+	12.3149i	−0.282197	+	0.677914i
$331$	4.50685	+	13.8707i	0.247719	+	0.762401i	0.995177	+	0.0980923i	$0.0312740\pi$
$331$	4.50685	+	13.8707i	0.247719	+	0.762401i	−0.747458	+	0.664309i	$0.768726\pi$
$332$			1.35433i			0.0743283i
$333$	13.8869	−	4.51214i	0.760999	−	0.247264i
$334$	9.07247	+	6.59154i	0.496424	+	0.360673i
$335$	−8.62048	−	14.1229i	−0.470987	−	0.771619i
$336$	−0.120407	+	0.0874809i	−0.00656875	+	0.00477247i
$337$	−3.38983	+	4.66569i	−0.184656	+	0.254157i	−0.891302	−	0.453410i	$-0.850207\pi$
$337$	−3.38983	+	4.66569i	−0.184656	+	0.254157i	0.706646	+	0.707567i	$0.250207\pi$
$338$	3.45030	−	4.74894i	0.187672	−	0.258308i
$339$	6.80561	−	4.94457i	0.369630	−	0.268552i
$340$	−1.93966	+	0.462071i	−0.105193	+	0.0250593i
$341$	29.7718	+	21.6305i	1.61223	+	1.17136i
$342$	−1.66775	+	0.541885i	−0.0901816	+	0.0293018i
$343$			1.86397i			0.100645i
$344$	3.91736	+	12.0564i	0.211210	+	0.650037i
$345$	−10.1546	+	6.19823i	−0.546703	+	0.333701i
$346$	0.406414	−	1.25081i	0.0218489	−	0.0672441i
$347$	17.1453	+	5.57086i	0.920411	+	0.299060i	0.730635	−	0.682768i	$-0.239224\pi$
$347$	17.1453	+	5.57086i	0.920411	+	0.299060i	0.189775	+	0.981828i	$0.439224\pi$
$348$	−2.36912	−	3.26082i	−0.126998	−	0.174798i
$349$	4.46540			0.239027			0.119514	−	0.992833i	$-0.461866\pi$
$349$	4.46540			0.239027			0.119514	+	0.992833i	$0.461866\pi$
$350$	−0.304690	+	0.592833i	−0.0162864	+	0.0316882i
$351$	14.1709			0.756387
$352$	−3.14075	−	4.32287i	−0.167403	−	0.230410i
$353$	2.45549	+	0.797836i	0.130692	+	0.0424645i	0.373633	−	0.927577i	$-0.378112\pi$
$353$	2.45549	+	0.797836i	0.130692	+	0.0424645i	−0.242940	+	0.970041i	$0.578112\pi$
$354$	−4.94645	+	15.2236i	−0.262901	+	0.809126i
$355$	5.01763	+	0.403762i	0.266308	+	0.0214294i
$356$	−2.65043	−	8.15718i	−0.140472	−	0.432330i
$357$			0.132715i			0.00702404i
$358$	−15.9259	+	5.17463i	−0.841708	+	0.273488i
$359$	28.8933	+	20.9922i	1.52493	+	1.10793i	0.958974	+	0.283492i	$0.0914931\pi$
$359$	28.8933	+	20.9922i	1.52493	+	1.10793i	0.565957	+	0.824435i	$0.308507\pi$
$360$	−0.314510	+	3.90848i	−0.0165761	+	0.205995i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	−2.62252	+	3.60959i	−0.137836	+	0.189716i
$363$	−11.5177	+	15.8528i	−0.604525	+	0.832057i
$364$	−0.287981	+	0.209230i	−0.0150943	+	0.0109667i
$365$	22.1821	−	25.8798i	1.16107	−	1.35461i
$366$	10.3437	+	7.51514i	0.540674	+	0.392823i
$367$	−21.5681	+	7.00791i	−1.12585	+	0.365810i	−0.811997	−	0.583662i	$-0.801619\pi$
$367$	−21.5681	+	7.00791i	−1.12585	+	0.365810i	−0.313851	+	0.949472i	$0.601619\pi$
$368$		−	4.76553i		−	0.248421i
$369$	0.0967469	+	0.297756i	0.00503644	+	0.0155006i
$370$	−4.31476	−	18.1123i	−0.224314	−	0.941615i
$371$	0.121066	−	0.372604i	0.00628546	−	0.0193447i
$372$	−7.31260	−	2.37601i	−0.379141	−	0.123190i
$373$	18.6500	+	25.6695i	0.965661	+	1.32912i	0.944209	+	0.329348i	$0.106829\pi$
$373$	18.6500	+	25.6695i	0.965661	+	1.32912i	0.0214520	+	0.999770i	$0.493171\pi$
$374$	−4.76477			−0.246380
$375$	−4.71588	−	11.5570i	−0.243527	−	0.596799i
$376$	−8.66186			−0.446701
$377$	−5.66630	−	7.79899i	−0.291829	−	0.401668i
$378$	0.672855	+	0.218624i	0.0346079	+	0.0112448i
$379$	3.13965	−	9.66285i	0.161273	−	0.496347i	−0.837469	−	0.546484i	$-0.815966\pi$
$379$	3.13965	−	9.66285i	0.161273	−	0.496347i	0.998742	+	0.0501371i	$0.0159658\pi$
$380$	0.518181	+	2.17520i	0.0265821	+	0.111585i
$381$	−5.43471	−	16.7263i	−0.278428	−	0.856915i
$382$			5.93594i			0.303709i
$383$	−15.8230	+	5.14120i	−0.808516	+	0.262703i	−0.683969	−	0.729511i	$-0.739748\pi$
$383$	−15.8230	+	5.14120i	−0.808516	+	0.262703i	−0.124547	+	0.992214i	$0.539748\pi$
$384$	0.903214	+	0.656223i	0.0460919	+	0.0334877i
$385$	−1.03657	+	1.20936i	−0.0528283	+	0.0616346i
$386$	17.9448	−	13.0376i	0.913365	−	0.663598i
$387$	13.0664	−	17.9843i	0.664201	−	0.914194i
$388$	−2.76576	+	3.80674i	−0.140410	+	0.193258i
$389$	21.9348	−	15.9365i	1.11214	−	0.808014i	0.129138	−	0.991627i	$-0.458779\pi$
$389$	21.9348	−	15.9365i	1.11214	−	0.808014i	0.982999	+	0.183612i	$0.0587791\pi$
$390$	0.534672	−	6.64448i	0.0270742	−	0.336456i
$391$	−3.43792	−	2.49779i	−0.173863	−	0.126319i
$392$	6.64049	−	2.15763i	0.335396	−	0.108977i
$393$			24.3435i			1.22797i
$394$	5.14599	+	15.8377i	0.259251	+	0.797893i
$395$	37.0018	+	2.97748i	1.86176	+	0.149813i
$396$	−2.89549	+	8.91140i	−0.145504	+	0.447815i
$397$	4.08489	+	1.32726i	0.205015	+	0.0666133i	0.409724	−	0.912209i	$-0.365625\pi$
$397$	4.08489	+	1.32726i	0.205015	+	0.0666133i	−0.204709	+	0.978823i	$0.565625\pi$
$398$	9.35678	+	12.8785i	0.469013	+	0.645541i
$399$	0.148831			0.00745089
$400$	4.93566	+	0.799509i	0.246783	+	0.0399755i
$401$	−6.61251			−0.330213			−0.165107	−	0.986276i	$-0.552797\pi$
$401$	−6.61251			−0.330213			−0.165107	+	0.986276i	$0.552797\pi$
$402$	4.85579	+	6.68342i	0.242185	+	0.333339i
$403$	−17.4898	−	5.68277i	−0.871227	−	0.283079i
$404$	5.82571	−	17.9297i	0.289840	−	0.892035i
$405$	−1.26777	+	0.773834i	−0.0629961	+	0.0384521i
$406$	−0.148724	−	0.457724i	−0.00738103	−	0.0227165i
$407$		−	44.4928i		−	2.20543i
$408$	0.946816	−	0.307639i	0.0468744	−	0.0152304i
$409$	−6.51380	−	4.73255i	−0.322087	−	0.234010i	0.414979	−	0.909831i	$-0.363789\pi$
$409$	−6.51380	−	4.73255i	−0.322087	−	0.234010i	−0.737065	+	0.675821i	$0.763789\pi$
$410$	0.388355	−	0.0925149i	0.0191795	−	0.00456899i
$411$	15.9704	−	11.6032i	0.787761	−	0.572342i
$412$	2.97586	−	4.09592i	0.146610	−	0.201792i
$413$	−1.12346	+	1.54632i	−0.0552821	+	0.0760892i
$414$	−6.76073	+	4.91196i	−0.332272	+	0.241410i
$415$	−1.57778	−	2.58488i	−0.0774502	−	0.126887i
$416$	2.16024	+	1.56951i	0.105915	+	0.0769514i
$417$	−9.06763	+	2.94625i	−0.444044	+	0.144278i
$418$			5.34337i			0.261353i
$419$	6.07501	+	18.6970i	0.296784	+	0.913406i	0.982617	+	0.185647i	$0.0594381\pi$
$419$	6.07501	+	18.6970i	0.296784	+	0.913406i	−0.685833	+	0.727759i	$0.740562\pi$
$420$	0.127896	−	0.307240i	0.00624067	−	0.0149918i
$421$	3.44563	−	10.6046i	0.167930	−	0.516835i	−0.831310	−	0.555809i	$-0.812409\pi$
$421$	3.44563	−	10.6046i	0.167930	−	0.516835i	0.999240	+	0.0389734i	$0.0124087\pi$
$422$	25.2557	+	8.20607i	1.22943	+	0.399465i
$423$	8.92801	+	12.2884i	0.434095	+	0.597480i
$424$	−2.93887			−0.142724
$425$	3.16374	−	3.14160i	0.153464	−	0.152390i
$426$	−2.51332			−0.121771
$427$	0.897359	+	1.23511i	0.0434262	+	0.0597711i
$428$	4.61462	+	1.49938i	0.223056	+	0.0724754i
$429$	4.92237	−	15.1495i	0.237654	−	0.731425i
$430$	−21.5223	−	18.4473i	−1.03790	−	0.889606i
$431$	−0.630141	−	1.93937i	−0.0303528	−	0.0934164i	0.934732	−	0.355352i	$-0.115639\pi$
$431$	−0.630141	−	1.93937i	−0.0303528	−	0.0934164i	−0.965085	+	0.261936i	$0.915639\pi$
$432$		−	5.30705i		−	0.255336i
$433$	6.27882	−	2.04011i	0.301741	−	0.0980415i	−0.154234	−	0.988034i	$-0.549291\pi$
$433$	6.27882	−	2.04011i	0.301741	−	0.0980415i	0.455974	+	0.889993i	$0.349291\pi$
$434$	−0.742766	−	0.539651i	−0.0356539	−	0.0259041i
$435$	8.32056	+	3.46362i	0.398940	+	0.166068i
$436$	0.377925	−	0.274578i	0.0180993	−	0.0131499i
$437$	−2.80111	+	3.85540i	−0.133995	+	0.184429i
$438$	−10.0031	+	13.7681i	−0.477966	+	0.657864i
$439$	−13.2561	+	9.63116i	−0.632681	+	0.459670i	−0.857328	−	0.514770i	$-0.827877\pi$
$439$	−13.2561	+	9.63116i	−0.632681	+	0.459670i	0.224647	+	0.974440i	$0.427877\pi$
$440$	11.0306	+	4.59173i	0.525863	+	0.218902i
$441$	−9.90550	−	7.19677i	−0.471691	−	0.342703i
$442$	2.26453	−	0.735789i	0.107713	−	0.0349979i
$443$			27.7628i			1.31905i	0.751683	+	0.659525i	$0.229243\pi$
$443$			27.7628i			1.31905i	−0.751683	+	0.659525i	$0.770757\pi$
$444$	2.87270	+	8.84126i	0.136332	+	0.419588i
$445$	14.5617	+	12.4811i	0.690291	+	0.591663i
$446$	5.70248	−	17.5504i	0.270020	−	0.831036i
$447$	20.6014	+	6.69380i	0.974412	+	0.316606i
$448$	0.0783575	+	0.107850i	0.00370204	+	0.00509542i
$449$	14.3143			0.675536			0.337768	−	0.941229i	$-0.390328\pi$
$449$	14.3143			0.675536			0.337768	+	0.941229i	$0.390328\pi$
$450$	−3.95308	−	7.82617i	−0.186350	−	0.368929i
$451$	0.953993			0.0449218
$452$	−4.42890	−	6.09585i	−0.208318	−	0.286725i
$453$	16.4908	+	5.35819i	0.774806	+	0.251750i
$454$	6.95648	−	21.4098i	0.326484	−	1.00481i
$455$	0.305891	−	0.734835i	0.0143404	−	0.0344496i
$456$	−0.344997	−	1.06179i	−0.0161560	−	0.0497229i
$457$		−	1.98100i		−	0.0926673i	−0.998926	−	0.0463336i	$-0.985246\pi$
$457$		−	1.98100i		−	0.0926673i	0.998926	−	0.0463336i	$-0.0147537\pi$
$458$	1.34278	−	0.436295i	0.0627439	−	0.0203867i
$459$	−3.82858	−	2.78163i	−0.178703	−	0.129835i
$460$	5.55181	+	9.09554i	0.258855	+	0.424082i
$461$	11.3867	−	8.27293i	0.530332	−	0.385309i	−0.290150	−	0.956981i	$-0.593705\pi$
$461$	11.3867	−	8.27293i	0.530332	−	0.385309i	0.820482	+	0.571672i	$0.193705\pi$
$462$	0.467442	−	0.643379i	0.0217474	−	0.0299327i
$463$	10.3510	−	14.2469i	0.481051	−	0.662110i	−0.497655	−	0.867375i	$-0.665805\pi$
$463$	10.3510	−	14.2469i	0.481051	−	0.662110i	0.978707	+	0.205265i	$0.0658055\pi$
$464$	−2.92075	+	2.12205i	−0.135592	+	0.0985135i
$465$	16.7249	−	3.98426i	0.775600	−	0.184765i
$466$	6.59178	+	4.78921i	0.305358	+	0.221856i
$467$	−34.4265	+	11.1859i	−1.59307	+	0.517619i	−0.965381	−	0.260845i	$-0.915999\pi$
$467$	−34.4265	+	11.1859i	−1.59307	+	0.517619i	−0.627688	+	0.778465i	$0.715999\pi$
$468$		−	4.68241i		−	0.216444i
$469$	0.304826	+	0.938159i	0.0140756	+	0.0433201i
$470$	16.5321	−	10.0910i	0.762570	−	0.465463i
$471$	−5.36772	+	16.5201i	−0.247331	+	0.761208i
$472$	13.6359	+	4.43059i	0.627645	+	0.203934i
$473$	−39.8148	−	54.8004i	−1.83069	−	2.51973i
$474$	−18.5341			−0.851300
$475$	−3.52310	−	3.54793i	−0.161651	−	0.162790i
$476$	0.118874			0.00544860
$477$	3.02917	+	4.16929i	0.138696	+	0.190899i
$478$	−0.305331	−	0.0992081i	−0.0139655	−	0.00453767i
$479$	6.72609	−	20.7008i	0.307323	−	0.945843i	−0.671477	−	0.741025i	$-0.734340\pi$
$479$	6.72609	−	20.7008i	0.307323	−	0.945843i	0.978800	−	0.204818i	$-0.0656602\pi$
$480$	−2.48838	−	0.200236i	−0.113578	−	0.00913950i
$481$	6.87072	+	21.1459i	0.313278	+	0.964170i
$482$			13.3931i			0.610039i
$483$	0.674547	−	0.219174i	0.0306930	−	0.00997274i
$484$	14.1995	+	10.3165i	0.645432	+	0.468934i
$485$	0.843930	−	10.4877i	0.0383209	−	0.476221i
$486$	−12.2805	+	8.92233i	−0.557056	+	0.404725i
$487$	3.41512	−	4.70051i	0.154754	−	0.213000i	−0.724600	−	0.689170i	$-0.757975\pi$
$487$	3.41512	−	4.70051i	0.154754	−	0.213000i	0.879353	+	0.476170i	$0.157975\pi$
$488$	6.73139	−	9.26496i	0.304716	−	0.419405i
$489$	−7.90594	+	5.74400i	−0.357519	+	0.259753i
$490$	−10.1605	+	11.8542i	−0.459004	+	0.535518i
$491$	20.3381	+	14.7765i	0.917844	+	0.666853i	0.942986	−	0.332831i	$-0.108004\pi$
$491$	20.3381	+	14.7765i	0.917844	+	0.666853i	−0.0251422	+	0.999684i	$0.508004\pi$
$492$	−0.189570	+	0.0615950i	−0.00854647	+	0.00277692i
$493$			3.21931i			0.144990i
$494$	−0.825139	−	2.53952i	−0.0371247	−	0.114258i
$495$	−4.85536	−	20.3816i	−0.218232	−	0.916085i
$496$	−2.12821	+	6.54997i	−0.0955596	+	0.294102i
$497$	−0.285419	−	0.0927383i	−0.0128028	−	0.00415988i
$498$	0.888740	+	1.22325i	0.0398254	+	0.0548149i
$499$	7.59363			0.339938			0.169969	−	0.985449i	$-0.445633\pi$
$499$	7.59363			0.339938			0.169969	+	0.985449i	$0.445633\pi$
$500$	−10.3517	+	4.22406i	−0.462941	+	0.188906i
$501$	12.5199			0.559348
$502$	6.15138	+	8.46665i	0.274550	+	0.377885i
$503$	18.7679	+	6.09807i	0.836820	+	0.271899i	0.695915	−	0.718124i	$-0.254999\pi$
$503$	18.7679	+	6.09807i	0.836820	+	0.271899i	0.140905	+	0.990023i	$0.454999\pi$
$504$	0.0722385	−	0.222327i	0.00321776	−	0.00990325i
$505$	9.76895	+	41.0077i	0.434713	+	1.82482i
$506$	7.86880	+	24.2177i	0.349811	+	1.07661i
$507$		−	6.55347i		−	0.291050i
$508$	−14.9819	+	4.86792i	−0.664715	+	0.215979i
$509$	−7.54745	−	5.48354i	−0.334535	−	0.243054i	0.407818	−	0.913063i	$-0.366290\pi$
$509$	−7.54745	−	5.48354i	−0.334535	−	0.243054i	−0.742352	+	0.670010i	$0.766290\pi$
$510$	−1.44871	+	1.69020i	−0.0641498	+	0.0748432i
$511$	−1.64400	+	1.19444i	−0.0727264	+	0.0528388i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	−3.11941	+	4.29349i	−0.137725	+	0.189562i
$514$	−10.6789	+	7.75864i	−0.471024	+	0.342219i
$515$	−0.908039	+	11.2844i	−0.0400130	+	0.497249i
$516$	11.4499	+	8.31884i	0.504054	+	0.366216i
$517$	44.0182	−	14.3024i	1.93592	−	0.629018i
$518$			1.11004i			0.0487722i
$519$	−0.453734	−	1.39645i	−0.0199167	−	0.0612973i
$520$	−5.95152	−	0.478911i	−0.260991	−	0.0210016i
$521$	−13.3425	+	41.0639i	−0.584544	+	1.79904i	0.0165515	+	0.999863i	$0.494731\pi$
$521$	−13.3425	+	41.0639i	−0.584544	+	1.79904i	−0.601095	+	0.799177i	$0.705269\pi$
$522$	6.02098	+	1.95633i	0.263531	+	0.0856264i
$523$	−6.29904	−	8.66989i	−0.275438	−	0.379108i	0.648778	−	0.760977i	$-0.275280\pi$
$523$	−6.29904	−	8.66989i	−0.275438	−	0.379108i	−0.924216	+	0.381870i	$0.875280\pi$
$524$	21.8047			0.952545
$525$	0.113830	+	0.735399i	0.00496795	+	0.0320955i
$526$	−10.1044			−0.440572
$527$	3.60976	+	4.96841i	0.157244	+	0.216427i
$528$	−5.67354	−	1.84344i	−0.246909	−	0.0802256i
$529$	0.0895237	−	0.275526i	0.00389233	−	0.0119794i
$530$	5.60915	−	3.42376i	0.243646	−	0.148719i
$531$	−7.76937	−	23.9117i	−0.337162	−	1.03768i
$532$		−	0.133310i		−	0.00577971i
$533$	−0.453399	+	0.147318i	−0.0196389	+	0.00638107i
$534$	−7.74683	−	5.62840i	−0.335238	−	0.243565i
$535$	−10.5543	+	2.51427i	−0.456302	+	0.108701i
$536$	5.98640	−	4.34938i	0.258573	−	0.187864i
$537$	−10.9887	+	15.1247i	−0.474200	+	0.652680i
$538$	−7.27552	+	10.0139i	−0.313670	+	0.431730i
$539$	−30.1833	+	21.9294i	−1.30009	+	0.944568i
$540$	6.18268	+	10.1291i	0.266060	+	0.435887i
$541$	−37.4324	−	27.1963i	−1.60935	−	1.16926i	−0.865501	−	0.500906i	$-0.833000\pi$
$541$	−37.4324	−	27.1963i	−1.60935	−	1.16926i	−0.743845	−	0.668352i	$-0.767000\pi$
$542$	−4.87268	+	1.58323i	−0.209300	+	0.0680056i
$543$			4.98118i			0.213763i
$544$	−0.275555	−	0.848072i	−0.0118143	−	0.0363608i
$545$	−0.401429	+	0.964342i	−0.0171953	+	0.0413079i
$546$	−0.122807	+	0.377960i	−0.00525563	+	0.0161752i
$547$	−12.1428	−	3.94544i	−0.519189	−	0.168695i	0.0376881	−	0.999290i	$-0.488001\pi$
$547$	−12.1428	−	3.94544i	−0.519189	−	0.168695i	−0.556877	+	0.830595i	$0.688001\pi$
$548$	−10.3931	−	14.3048i	−0.443970	−	0.611072i
$549$	−20.0822			−0.857086
$550$	−26.4024	+	4.08674i	−1.12580	+	0.174259i
$551$	3.61024			0.153801
$552$	−3.12725	−	4.30429i	−0.133105	−	0.183203i
$553$	−2.10478	−	0.683885i	−0.0895044	−	0.0290818i
$554$	−8.79746	+	27.0758i	−0.373768	+	1.15034i
$555$	−15.7829	−	13.5278i	−0.669946	−	0.574225i
$556$	2.63898	+	8.12196i	0.111918	+	0.344448i
$557$			1.46348i			0.0620095i	0.999519	+	0.0310047i	$0.00987069\pi$
$557$			1.46348i			0.0620095i	−0.999519	+	0.0310047i	$0.990129\pi$
$558$	11.4859	−	3.73199i	0.486236	−	0.157988i
$559$	27.3850	+	19.8964i	1.15826	+	0.841528i
$560$	−0.275198	−	0.114557i	−0.0116292	−	0.00484093i
$561$	−4.30360	+	3.12675i	−0.181698	+	0.132011i
$562$	1.16307	−	1.60083i	0.0490612	−	0.0675269i
$563$	−16.3720	+	22.5341i	−0.689995	+	0.949697i	−0.999999	−	0.00103794i	$-0.999670\pi$
$563$	−16.3720	+	22.5341i	−0.689995	+	0.949697i	0.310004	+	0.950735i	$0.399670\pi$
$564$	−7.82351	+	5.68411i	−0.329429	+	0.239344i
$565$	15.5547	+	6.47497i	0.654390	+	0.272404i
$566$	−9.41579	−	6.84097i	−0.395775	−	0.287547i
$567$	0.0842156	−	0.0273633i	0.00353672	−	0.00114915i
$568$			2.25120i			0.0944584i
$569$	9.79266	+	30.1387i	0.410530	+	1.26348i	0.916189	+	0.400747i	$0.131249\pi$
$569$	9.79266	+	30.1387i	0.410530	+	1.26348i	−0.505659	+	0.862734i	$0.668751\pi$
$570$	1.89544	+	1.62463i	0.0793914	+	0.0680481i
$571$	−2.48769	+	7.65632i	−0.104107	+	0.320407i	−0.989520	−	0.144398i	$-0.953876\pi$
$571$	−2.48769	+	7.65632i	−0.104107	+	0.320407i	0.885413	+	0.464805i	$0.153876\pi$
$572$	−13.5696	−	4.40902i	−0.567372	−	0.184350i
$573$	3.89530	+	5.36142i	0.162729	+	0.223977i
$574$	−0.0238008			−0.000993427
$575$	−21.1925	−	10.8920i	−0.883788	−	0.454229i
$576$	−1.75358			−0.0730657
$577$	23.2019	+	31.9347i	0.965910	+	1.32946i	0.944086	+	0.329699i	$0.106947\pi$
$577$	23.2019	+	31.9347i	0.965910	+	1.32946i	0.0218236	+	0.999762i	$0.493053\pi$
$578$	15.4117	+	5.00757i	0.641043	+	0.208288i
$579$	7.65236	−	23.5515i	0.318021	−	0.978769i
$580$	3.10239	−	7.45280i	0.128820	−	0.309461i
$581$	0.0557914	+	0.171708i	0.00231462	+	0.00712366i
$582$			5.25326i			0.217755i
$583$	14.9349	−	4.85263i	0.618539	−	0.200975i
$584$	12.3322	+	8.95987i	0.510310	+	0.370762i
$585$	5.45497	+	8.93689i	0.225535	+	0.369495i
$586$	−8.18465	+	5.94649i	−0.338105	+	0.245647i
$587$	5.49818	−	7.56759i	0.226934	−	0.312348i	−0.680333	−	0.732903i	$-0.738165\pi$
$587$	5.49818	−	7.56759i	0.226934	−	0.312348i	0.907267	+	0.420555i	$0.138165\pi$
$588$	4.58190	−	6.30644i	0.188954	−	0.260073i
$589$	5.57174	−	4.04810i	0.229579	−	0.166799i
$590$	−31.1873	+	7.42952i	−1.28396	+	0.305868i
$591$	15.0410	+	10.9279i	0.618705	+	0.449515i
$592$	7.91920	−	2.57311i	0.325477	−	0.105754i
$593$			17.8718i			0.733907i	0.930239	+	0.366954i	$0.119599\pi$
$593$			17.8718i			0.733907i	−0.930239	+	0.366954i	$0.880401\pi$
$594$	8.76296	+	26.9696i	0.359548	+	1.10658i
$595$	−0.226885	+	0.138488i	−0.00930137	+	0.00567745i
$596$	5.99570	−	18.4529i	0.245593	−	0.755859i
$597$	16.9023	+	5.49190i	0.691767	+	0.224769i
$598$	−7.47953	−	10.2947i	−0.305861	−	0.420981i
$599$	−12.3760			−0.505669			−0.252834	−	0.967510i	$-0.581363\pi$
$599$	−12.3760			−0.505669			−0.252834	+	0.967510i	$0.581363\pi$
$600$	4.98262	−	2.51677i	0.203414	−	0.102747i
$601$	21.5898			0.880668			0.440334	−	0.897834i	$-0.354860\pi$
$601$	21.5898			0.880668			0.440334	+	0.897834i	$0.354860\pi$
$602$	0.993326	+	1.36720i	0.0404849	+	0.0557227i
$603$	−12.3407	−	4.00973i	−0.502552	−	0.163289i
$604$	4.79938	−	14.7710i	0.195284	−	0.601023i
$605$	−39.1200	−	3.14794i	−1.59046	−	0.127982i
$606$	−6.50402	−	20.0173i	−0.264208	−	0.813147i
$607$			1.86110i			0.0755398i	0.999286	+	0.0377699i	$0.0120254\pi$
$607$			1.86110i			0.0755398i	−0.999286	+	0.0377699i	$0.987975\pi$
$608$	−0.951057	+	0.309017i	−0.0385704	+	0.0125323i
$609$	−0.434699	−	0.315827i	−0.0176149	−	0.0127980i
$610$	−2.05398	+	25.5252i	−0.0831632	+	1.03349i
$611$	−18.7117	+	13.5949i	−0.756995	+	0.549989i
$612$	−0.919116	+	1.26505i	−0.0371530	+	0.0511368i
$613$	−14.3425	+	19.7408i	−0.579289	+	0.797323i	−0.993617	−	0.112804i	$-0.964017\pi$
$613$	−14.3425	+	19.7408i	−0.579289	+	0.797323i	0.414328	+	0.910128i	$0.364017\pi$
$614$	19.7376	−	14.3402i	0.796545	−	0.578724i
$615$	0.290057	−	0.338408i	0.0116962	−	0.0136459i
$616$	−0.576281	−	0.418693i	−0.0232190	−	0.0168696i
$617$	26.2512	−	8.52953i	1.05683	−	0.343386i	0.271486	−	0.962442i	$-0.412485\pi$
$617$	26.2512	−	8.52953i	1.05683	−	0.343386i	0.785346	+	0.619056i	$0.212485\pi$
$618$		−	5.65232i		−	0.227370i
$619$	−4.64898	−	14.3081i	−0.186858	−	0.575090i	0.813117	−	0.582100i	$-0.197769\pi$
$619$	−4.64898	−	14.3081i	−0.186858	−	0.575090i	−0.999975	+	0.00700951i	$0.997769\pi$
$620$	−3.56874	−	14.9807i	−0.143324	−	0.601639i
$621$	−7.81532	+	24.0531i	−0.313618	+	0.965218i
$622$	25.3520	+	8.23738i	1.01652	+	0.330289i
$623$	−0.672070	−	0.925024i	−0.0269259	−	0.0370603i
$624$	2.98111			0.119340
$625$	14.8363	−	20.1217i	0.593453	−	0.804869i
$626$	−13.9860			−0.558992
$627$	3.50644	+	4.82620i	0.140034	+	0.192740i
$628$	14.7972	+	4.80792i	0.590475	+	0.191857i
$629$	2.29448	−	7.06168i	0.0914869	−	0.281568i
$630$	0.121135	+	0.508493i	0.00482612	+	0.0202589i
$631$	1.97738	+	6.08574i	0.0787181	+	0.242270i	0.982670	−	0.185365i	$-0.0593469\pi$
$631$	1.97738	+	6.08574i	0.0787181	+	0.242270i	−0.903952	+	0.427635i	$0.859347\pi$
$632$			16.6012i			0.660360i
$633$	28.1963	−	9.16153i	1.12070	−	0.364138i
$634$	2.39285	+	1.73851i	0.0950322	+	0.0690449i
$635$	22.9235	−	26.7448i	0.909693	−	1.06133i
$636$	−2.65442	+	1.92855i	−0.105255	+	0.0764720i
$637$	10.9587	−	15.0833i	0.434198	−	0.597622i
$638$	11.3389	−	15.6066i	0.448910	−	0.617872i
$639$	3.19372	−	2.32038i	0.126342	−	0.0917927i
$640$	−0.179354	+	2.22886i	−0.00708957	+	0.0881036i
$641$	21.3506	+	15.5121i	0.843298	+	0.612692i	0.923290	−	0.384104i	$-0.125489\pi$
$641$	21.3506	+	15.5121i	0.843298	+	0.612692i	−0.0799918	+	0.996796i	$0.525489\pi$
$642$	5.15192	−	1.67396i	0.203330	−	0.0660659i
$643$		−	3.19972i		−	0.126185i	−0.998008	−	0.0630924i	$-0.979904\pi$
$643$		−	3.19972i		−	0.126185i	0.998008	−	0.0630924i	$-0.0200963\pi$
$644$	−0.196316	−	0.604198i	−0.00773593	−	0.0238087i
$645$	−31.5448	−	2.53837i	−1.24207	−	0.0999480i
$646$	−0.275555	+	0.848072i	−0.0108416	+	0.0333670i
$647$	18.4817	+	6.00506i	0.726589	+	0.236083i	0.648878	−	0.760893i	$-0.275239\pi$
$647$	18.4817	+	6.00506i	0.726589	+	0.236083i	0.0777116	+	0.996976i	$0.475239\pi$
$648$	−0.390430	−	0.537381i	−0.0153375	−	0.0211103i
$649$	−76.6115			−3.00726
$650$	11.9171	−	6.01943i	0.467426	−	0.236101i
$651$	−1.02501			−0.0401732
$652$	5.14496	+	7.08142i	0.201492	+	0.277330i
$653$	−29.0566	−	9.44106i	−1.13707	−	0.369457i	−0.320813	−	0.947143i	$-0.603956\pi$
$653$	−29.0566	−	9.44106i	−1.13707	−	0.369457i	−0.816260	+	0.577685i	$0.803956\pi$
$654$	0.161162	−	0.496006i	0.00630193	−	0.0193954i
$655$	−41.6168	+	25.4024i	−1.62610	+	0.992553i
$656$	0.0551712	+	0.169799i	0.00215407	+	0.00662956i
$657$		−	26.7305i		−	1.04286i
$658$	−1.09819	+	0.356825i	−0.0428121	+	0.0139105i
$659$	−25.0443	−	18.1958i	−0.975589	−	0.708807i	−0.0188705	−	0.999822i	$-0.506007\pi$
$659$	−25.0443	−	18.1958i	−0.975589	−	0.708807i	−0.956718	+	0.291015i	$0.906007\pi$
$660$	12.9762	−	3.09122i	0.505097	−	0.120325i
$661$	25.4670	−	18.5028i	0.990551	−	0.719677i	0.0305090	−	0.999534i	$-0.490287\pi$
$661$	25.4670	−	18.5028i	0.990551	−	0.719677i	0.960042	+	0.279857i	$0.0902872\pi$
$662$	8.57255	−	11.7991i	0.333182	−	0.458585i
$663$	1.56251	−	2.15061i	0.0606828	−	0.0835228i
$664$	1.09567	−	0.796053i	0.0425203	−	0.0308928i
$665$	0.155305	+	0.254436i	0.00602246	+	0.00986661i
$666$	−11.8129	−	8.58260i	−0.457742	−	0.332569i
$667$	16.3627	−	5.31655i	0.633564	−	0.205858i
$668$		−	11.2142i		−	0.433890i
$669$	−6.36643	−	19.5939i	−0.246141	−	0.757543i
$670$	−6.35871	+	15.2754i	−0.245659	+	0.590139i
$671$	−18.9096	+	58.1979i	−0.729998	+	2.24670i
$672$	0.141547	+	0.0459914i	0.00546030	+	0.00177416i
$673$	−14.0723	−	19.3689i	−0.542449	−	0.746617i	0.446514	−	0.894776i	$-0.352665\pi$
$673$	−14.0723	−	19.3689i	−0.542449	−	0.746617i	−0.988964	+	0.148159i	$0.952665\pi$
$674$	5.76712			0.222141
$675$	−23.6006	−	12.1297i	−0.908389	−	0.466873i
$676$	−5.87001			−0.225770
$677$	14.6984	+	20.2306i	0.564904	+	0.777524i	0.991940	−	0.126711i	$-0.0404420\pi$
$677$	14.6984	+	20.2306i	0.564904	+	0.777524i	−0.427035	+	0.904235i	$0.640442\pi$
$678$	−8.00048	−	2.59951i	−0.307257	−	0.0998337i
$679$	−0.193839	+	0.596574i	−0.00743884	+	0.0228944i
$680$	1.51393	+	1.29762i	0.0580564	+	0.0497614i
$681$	−7.76645	−	23.9027i	−0.297611	−	0.915952i
$682$		−	36.8000i		−	1.40914i
$683$	−1.90762	+	0.619823i	−0.0729930	+	0.0237168i	−0.345286	−	0.938498i	$-0.612218\pi$
$683$	−1.90762	+	0.619823i	−0.0729930	+	0.0237168i	0.272293	+	0.962214i	$0.412218\pi$
$684$	1.41867	+	1.03073i	0.0542443	+	0.0394108i
$685$	36.5013	+	15.1945i	1.39464	+	0.580551i
$686$	1.50798	−	1.09561i	0.0575750	−	0.0418307i
$687$	0.926508	−	1.27523i	0.0353485	−	0.0486530i
$688$	7.45126	−	10.2558i	0.284077	−	0.390998i
$689$	−6.34866	+	4.61257i	−0.241865	+	0.175725i
$690$	10.9832	+	4.57199i	0.418122	+	0.174053i
$691$	1.98332	+	1.44097i	0.0754490	+	0.0548169i	0.624870	−	0.780729i	$-0.285152\pi$
$691$	1.98332	+	1.44097i	0.0754490	+	0.0548169i	−0.549421	+	0.835545i	$0.685152\pi$
$692$	−1.25081	+	0.406414i	−0.0475488	+	0.0154495i
$693$			1.24911i			0.0474498i
$694$	−5.57086	−	17.1453i	−0.211467	−	0.650829i
$695$	−14.4988	−	12.4273i	−0.549971	−	0.471393i
$696$	−1.24552	+	3.83332i	−0.0472114	+	0.145302i
$697$	0.151413	+	0.0491971i	0.00573517	+	0.00186347i
$698$	−2.62469	−	3.61258i	−0.0993461	−	0.136738i
$699$	9.09657			0.344064
$700$	0.658704	−	0.101959i	0.0248967	−	0.00385368i
$701$	−6.75806			−0.255248			−0.127624	−	0.991823i	$-0.540735\pi$
$701$	−6.75806			−0.255248			−0.127624	+	0.991823i	$0.540735\pi$
$702$	−8.32945	−	11.4645i	−0.314375	−	0.432700i
$703$	−7.91920	−	2.57311i	−0.298678	−	0.0970465i
$704$	−1.65119	+	5.08184i	−0.0622316	+	0.191529i
$705$	8.31008	−	19.9631i	0.312976	−	0.751853i
$706$	−0.797836	−	2.45549i	−0.0300270	−	0.0924135i
$707$		−	2.51321i		−	0.0945188i
$708$	15.2236	−	4.94645i	0.572139	−	0.185899i
$709$	−0.479021	−	0.348029i	−0.0179900	−	0.0130705i	0.578754	−	0.815502i	$-0.303539\pi$
$709$	−0.479021	−	0.348029i	−0.0179900	−	0.0130705i	−0.596744	+	0.802432i	$0.703539\pi$
$710$	−2.62264	−	4.29667i	−0.0984258	−	0.161251i
$711$	23.5517	−	17.1113i	0.883256	−	0.641723i
$712$	−5.04142	+	6.93891i	−0.188935	+	0.260047i
$713$	19.2914	−	26.5523i	0.722467	−	0.994391i
$714$	0.107369	−	0.0780081i	0.00401818	−	0.00291938i
$715$	31.0355	−	7.39335i	1.16066	−	0.276496i
$716$	13.5474	+	9.84273i	0.506288	+	0.367840i
$717$	−0.340882	+	0.110759i	−0.0127305	+	0.00413638i
$718$		−	35.7141i		−	1.33284i
$719$	−10.1235	−	31.1568i	−0.377542	−	1.16195i	−0.941748	−	0.336320i	$-0.890818\pi$
$719$	−10.1235	−	31.1568i	−0.377542	−	1.16195i	0.564206	−	0.825634i	$-0.309182\pi$
$720$	3.34689	−	2.04290i	0.124731	−	0.0761346i
$721$	0.208564	−	0.641893i	0.00776731	−	0.0239053i
$722$	0.951057	+	0.309017i	0.0353947	+	0.0115004i
$723$	8.78887	+	12.0968i	0.326862	+	0.449886i
$724$	4.46169			0.165818
$725$	2.76120	+	17.8388i	0.102549	+	0.662515i
$726$	19.5951			0.727244
$727$	−4.64066	−	6.38732i	−0.172113	−	0.236893i	0.714243	−	0.699898i	$-0.246771\pi$
$727$	−4.64066	−	6.38732i	−0.172113	−	0.236893i	−0.886356	+	0.463005i	$0.846771\pi$
$728$	0.338542	+	0.109999i	0.0125472	+	0.00407683i
$729$	−5.85269	+	18.0127i	−0.216766	+	0.667138i
$730$	−33.9755	−	2.73397i	−1.25749	−	0.101189i
$731$	−3.49317	−	10.7509i	−0.129200	−	0.397636i
$732$		−	12.7855i		−	0.472567i
$733$	−28.6396	+	9.30556i	−1.05783	+	0.343709i	−0.785735	−	0.618563i	$-0.787715\pi$
$733$	−28.6396	+	9.30556i	−1.05783	+	0.343709i	−0.272091	+	0.962271i	$0.587715\pi$
$734$	18.3470	+	13.3298i	0.677199	+	0.492014i
$735$	−1.39810	+	17.3744i	−0.0515695	+	0.640865i
$736$	−3.85540	+	2.80111i	−0.142112	+	0.103250i
$737$	−23.2403	+	31.9875i	−0.856068	+	1.17828i
$738$	0.184024	−	0.253287i	0.00677400	−	0.00932361i
$739$	20.3109	−	14.7567i	0.747148	−	0.542835i	−0.147794	−	0.989018i	$-0.547217\pi$
$739$	20.3109	−	14.7567i	0.747148	−	0.542835i	0.894941	+	0.446184i	$0.147217\pi$
$740$	−12.1170	+	14.1369i	−0.445431	+	0.519682i
$741$	−2.41176	−	1.75225i	−0.0885984	−	0.0643705i
$742$	−0.372604	+	0.121066i	−0.0136787	+	0.00444449i
$743$			18.0714i			0.662975i	0.943460	+	0.331488i	$0.107551\pi$
$743$			18.0714i			0.662975i	−0.943460	+	0.331488i	$0.892449\pi$
$744$	2.37601	+	7.31260i	0.0871087	+	0.268093i
$745$	10.0540	+	42.2043i	0.368350	+	1.54624i
$746$	9.80489	−	30.1763i	0.358982	−	1.10483i
$747$	−2.25868	−	0.733889i	−0.0826407	−	0.0268516i
$748$	2.80066	+	3.85478i	0.102402	+	0.140945i
$749$	0.646832			0.0236347
$750$	−6.57785	+	10.6082i	−0.240189	+	0.387358i
$751$	−16.9478			−0.618434			−0.309217	−	0.950992i	$-0.600067\pi$
$751$	−16.9478			−0.618434			−0.309217	+	0.950992i	$0.600067\pi$
$752$	5.09131	+	7.00759i	0.185661	+	0.255541i
$753$	11.1120	+	3.61052i	0.404945	+	0.131575i
$754$	−2.97895	+	9.16826i	−0.108487	+	0.333888i
$755$	8.04794	+	33.7833i	0.292895	+	1.22950i
$756$	−0.218624	−	0.672855i	−0.00795127	−	0.0244715i
$757$		−	26.2939i		−	0.955667i	−0.878450	−	0.477834i	$-0.841422\pi$
$757$		−	26.2939i		−	0.955667i	0.878450	−	0.477834i	$-0.158578\pi$
$758$	−9.66285	+	3.13965i	−0.350970	+	0.114037i
$759$	22.9994	+	16.7101i	0.834826	+	0.606536i
$760$	1.45519	−	1.69777i	0.0527854	−	0.0615845i
$761$	9.57687	−	6.95801i	0.347161	−	0.252228i	−0.400516	−	0.916290i	$-0.631169\pi$
$761$	9.57687	−	6.95801i	0.347161	−	0.252228i	0.747677	+	0.664062i	$0.231169\pi$
$762$	−10.3374	+	14.2282i	−0.374485	+	0.515435i
$763$	0.0366039	−	0.0503810i	0.00132515	−	0.00182392i
$764$	4.80228	−	3.48906i	0.173740	−	0.126230i
$765$	0.280454	−	3.48526i	0.0101398	−	0.126010i
$766$	13.4598	+	9.77914i	0.486323	+	0.353335i
$767$	36.4108	−	11.8306i	1.31472	−	0.427177i
$768$		−	1.11643i		−	0.0402858i
$769$	−1.57190	−	4.83781i	−0.0566841	−	0.174456i	0.918706	−	0.394942i	$-0.129235\pi$
$769$	−1.57190	−	4.83781i	−0.0566841	−	0.174456i	−0.975390	+	0.220487i	$0.929235\pi$
$770$	1.58767	+	0.127758i	0.0572156	+	0.00460407i
$771$	−4.55388	+	14.0154i	−0.164004	+	0.504753i
$772$	−21.0953	−	6.85429i	−0.759238	−	0.246691i
$773$	20.2380	+	27.8552i	0.727909	+	1.00188i	0.999224	+	0.0393898i	$0.0125414\pi$
$773$	20.2380	+	27.8552i	0.727909	+	1.00188i	−0.271315	+	0.962491i	$0.587459\pi$
$774$	−22.2298			−0.799034
$775$	24.2637	+	24.4347i	0.871579	+	0.877722i
$776$	4.70540			0.168914
$777$	0.728431	+	1.00260i	0.0261323	+	0.0359680i
$778$	−25.7859	−	8.37833i	−0.924468	−	0.300378i
$779$	0.0551712	−	0.169799i	0.00197671	−	0.00608370i
$780$	−5.68977	+	3.47297i	−0.203726	+	0.124352i
$781$	−3.71717	−	11.4403i	−0.133011	−	0.409365i
$782$			4.24950i			0.151962i
$783$	18.2220	−	5.92068i	0.651201	−	0.211588i
$784$	−5.64874	−	4.10405i	−0.201741	−	0.146573i
$785$	−33.8434	+	8.06225i	−1.20792	+	0.287754i
$786$	19.6943	−	14.3088i	0.702474	−	0.510377i
$787$	8.04882	−	11.0782i	0.286909	−	0.394897i	−0.641098	−	0.767459i	$-0.721521\pi$
$787$	8.04882	−	11.0782i	0.286909	−	0.394897i	0.928007	+	0.372562i	$0.121521\pi$
$788$	9.78826	−	13.4724i	0.348692	−	0.479934i
$789$	−9.12641	+	6.63072i	−0.324909	+	0.236060i
$790$	−19.3403	−	31.6852i	−0.688096	−	1.12731i
$791$	−0.812636	−	0.590415i	−0.0288940	−	0.0209927i
$792$	8.91140	−	2.89549i	0.316653	−	0.102887i
$793$		−	30.5795i		−	1.08591i
$794$	−1.32726	−	4.08489i	−0.0471027	−	0.144967i
$795$	2.81951	−	6.77324i	0.0999977	−	0.240222i
$796$	4.91915	−	15.1396i	0.174355	−	0.536608i
$797$	−23.5160	−	7.64081i	−0.832980	−	0.270652i	−0.138680	−	0.990337i	$-0.544286\pi$
$797$	−23.5160	−	7.64081i	−0.832980	−	0.270652i	−0.694300	+	0.719686i	$0.744286\pi$
$798$	−0.0874809	−	0.120407i	−0.00309679	−	0.00426237i
$799$	7.72392			0.273253
$800$	−2.25429	−	4.46298i	−0.0797013	−	0.157790i
$801$	15.0404			0.531425
$802$	3.88674	+	5.34963i	0.137245	+	0.188902i
$803$	−77.4648	−	25.1698i	−2.73367	−	0.888224i
$804$	2.55284	−	7.85683i	0.0900317	−	0.277089i
$805$	1.07858	+	0.924472i	0.0380148	+	0.0325834i
$806$	5.68277	+	17.4898i	0.200167	+	0.616050i
$807$			13.8191i			0.486454i
$808$	−17.9297	+	5.82571i	−0.630764	+	0.204948i
$809$	11.1099	+	8.07178i	0.390602	+	0.283789i	0.765702	−	0.643195i	$-0.222392\pi$
$809$	11.1099	+	8.07178i	0.390602	+	0.283789i	−0.375100	+	0.926984i	$0.622392\pi$
$810$	1.37122	+	0.570802i	0.0481799	+	0.0200559i
$811$	−34.9400	+	25.3854i	−1.22691	+	0.891401i	−0.996655	−	0.0817291i	$-0.973956\pi$
$811$	−34.9400	+	25.3854i	−1.22691	+	0.891401i	−0.230254	+	0.973131i	$0.573956\pi$
$812$	−0.282889	+	0.389364i	−0.00992747	+	0.0136640i
$813$	−3.36212	+	4.62756i	−0.117915	+	0.162296i
$814$	−35.9955	+	26.1522i	−1.26164	+	0.916635i
$815$	−18.0695	−	7.52184i	−0.632948	−	0.263479i
$816$	−0.805410	−	0.585165i	−0.0281950	−	0.0204849i
$817$	−12.0564	+	3.91736i	−0.421800	+	0.137051i
$818$			8.05150i			0.281514i
$819$	−0.192892	−	0.593659i	−0.00674018	−	0.0207441i
$820$	−0.303115	−	0.259807i	−0.0105853	−	0.00907285i
$821$	11.1261	−	34.2426i	0.388303	−	1.19507i	−0.545753	−	0.837946i	$-0.683756\pi$
$821$	11.1261	−	34.2426i	0.388303	−	1.19507i	0.934056	−	0.357127i	$-0.116244\pi$
$822$	−18.7743	−	6.10014i	−0.654829	−	0.212767i
$823$	−27.3704	−	37.6721i	−0.954072	−	1.31317i	−0.949695	−	0.313177i	$-0.898607\pi$
$823$	−27.3704	−	37.6721i	−0.954072	−	1.31317i	−0.00437733	−	0.999990i	$-0.501393\pi$
$824$	−5.06284			−0.176372
$825$	−21.1652	+	21.0171i	−0.736878	+	0.731721i
$826$	1.91135			0.0665044
$827$	−0.379558	−	0.522417i	−0.0131985	−	0.0181662i	0.802367	−	0.596831i	$-0.203574\pi$
$827$	−0.379558	−	0.522417i	−0.0131985	−	0.0181662i	−0.815565	+	0.578665i	$0.803574\pi$
$828$	7.94772	+	2.58237i	0.276202	+	0.0897436i
$829$	6.32307	−	19.4604i	0.219609	−	0.675888i	−0.779185	−	0.626794i	$-0.784367\pi$
$829$	6.32307	−	19.4604i	0.219609	−	0.675888i	0.998794	−	0.0490937i	$-0.0156333\pi$
$830$	−1.16382	+	2.79580i	−0.0403966	+	0.0970438i
$831$	9.82178	+	30.2283i	0.340714	+	1.04861i
$832$		−	2.67020i		−	0.0925727i
$833$	−5.92144	+	1.92399i	−0.205166	+	0.0666623i
$834$	7.71338	+	5.60410i	0.267093	+	0.194054i
$835$	13.0645	+	21.4035i	0.452114	+	0.740699i
$836$	4.32287	−	3.14075i	0.149510	−	0.108625i
$837$	21.4835	−	29.5695i	0.742578	−	1.02207i
$838$	11.5554	−	15.9046i	0.399173	−	0.549415i
$839$	−11.7887	+	8.56497i	−0.406990	+	0.295696i	−0.772382	−	0.635158i	$-0.780935\pi$
$839$	−11.7887	+	8.56497i	−0.406990	+	0.295696i	0.365392	+	0.930854i	$0.380935\pi$
$840$	−0.323738	+	0.0771216i	−0.0111700	+	0.00266095i
$841$	12.9169	+	9.38468i	0.445410	+	0.323610i
$842$	−10.6046	+	3.44563i	−0.365458	+	0.118744i
$843$		−	2.20912i		−	0.0760863i
$844$	−8.20607	−	25.2557i	−0.282465	−	0.869337i
$845$	11.2036	−	6.83852i	0.385414	−	0.235252i
$846$	4.69373	−	14.4458i	0.161374	−	0.496658i
$847$	2.22528	+	0.723036i	0.0764614	+	0.0248438i
$848$	1.72742	+	2.37759i	0.0593199	+	0.0816469i
$849$	−12.9937			−0.445942
$850$	−4.40121	−	0.712936i	−0.150960	−	0.0244535i
$851$	−39.6814			−1.36026
$852$	1.47729	+	2.03332i	0.0506112	+	0.0696603i
$853$	−2.71209	−	0.881213i	−0.0928603	−	0.0301722i	0.262218	−	0.965009i	$-0.415546\pi$
$853$	−2.71209	−	0.881213i	−0.0928603	−	0.0301722i	−0.355079	+	0.934836i	$0.615546\pi$
$854$	0.471770	−	1.45196i	0.0161436	−	0.0496850i
$855$	−3.90848	−	0.314510i	−0.133667	−	0.0107560i
$856$	−1.49938	−	4.61462i	−0.0512478	−	0.157725i
$857$		−	22.2357i		−	0.759558i	−0.925077	−	0.379779i	$-0.876000\pi$
$857$		−	22.2357i		−	0.759558i	0.925077	−	0.379779i	$-0.124000\pi$
$858$	−15.1495	+	4.92237i	−0.517196	+	0.168047i
$859$	16.7170	+	12.1456i	0.570377	+	0.414403i	0.835242	−	0.549883i	$-0.185328\pi$
$859$	16.7170	+	12.1456i	0.570377	+	0.414403i	−0.264865	+	0.964285i	$0.585328\pi$
$860$	−2.27364	+	28.2550i	−0.0775304	+	0.963486i
$861$	−0.0214972	+	0.0156186i	−0.000732623	+	0.000532282i
$862$	−1.19860	+	1.64973i	−0.0408245	+	0.0561900i
$863$	8.99860	−	12.3855i	0.306316	−	0.421608i	−0.627912	−	0.778284i	$-0.716090\pi$
$863$	8.99860	−	12.3855i	0.306316	−	0.421608i	0.934228	+	0.356677i	$0.116090\pi$
$864$	−4.29349	+	3.11941i	−0.146068	+	0.106124i
$865$	1.91384	−	2.23287i	0.0650727	−	0.0759200i
$866$	−5.34108	−	3.88052i	−0.181497	−	0.131866i
$867$	17.2062	−	5.59062i	0.584352	−	0.189867i
$868$			0.918110i			0.0311627i
$869$	−27.4117	−	84.3646i	−0.929879	−	2.86187i
$870$	−2.08858	−	8.76734i	−0.0708094	−	0.297241i
$871$	6.10569	−	18.7914i	0.206884	−	0.636722i
$872$	−0.444277	−	0.144354i	−0.0150451	−	0.00488846i
$873$	−4.84998	−	6.67542i	−0.164147	−	0.225929i
$874$	4.76553			0.161197
$875$	−1.13843	+	0.961985i	−0.0384859	+	0.0325210i
$876$	17.0183			0.574994
$877$	29.5887	+	40.7253i	0.999139	+	1.37520i	0.925852	+	0.377885i	$0.123349\pi$
$877$	29.5887	+	40.7253i	0.999139	+	1.37520i	0.0732861	+	0.997311i	$0.476651\pi$
$878$	15.5835	+	5.06340i	0.525919	+	0.170881i
$879$	−3.49026	+	10.7419i	−0.117723	+	0.362316i
$880$	−2.76883	−	11.6229i	−0.0933373	−	0.391807i
$881$	−2.81120	−	8.65198i	−0.0947117	−	0.291493i	0.892467	−	0.451113i	$-0.148973\pi$
$881$	−2.81120	−	8.65198i	−0.0947117	−	0.291493i	−0.987178	+	0.159621i	$0.948973\pi$
$882$			12.2439i			0.412273i
$883$	5.13207	−	1.66751i	0.172708	−	0.0561162i	−0.221387	−	0.975186i	$-0.571058\pi$
$883$	5.13207	−	1.66751i	0.172708	−	0.0561162i	0.394095	+	0.919070i	$0.371058\pi$
$884$	−1.92632	−	1.39955i	−0.0647892	−	0.0470721i
$885$	−23.2934	+	27.1763i	−0.782998	+	0.913520i
$886$	22.4606	−	16.3186i	0.754578	−	0.548233i
$887$	3.93250	−	5.41262i	0.132040	−	0.181738i	−0.737877	−	0.674935i	$-0.764172\pi$
$887$	3.93250	−	5.41262i	0.132040	−	0.181738i	0.869918	+	0.493197i	$0.164172\pi$
$888$	5.46420	−	7.52083i	0.183367	−	0.252382i
$889$	−1.69895	+	1.23436i	−0.0569809	+	0.0413991i
$890$	1.53831	−	19.1169i	0.0515643	−	0.640800i
$891$	2.87142	+	2.08621i	0.0961962	+	0.0698906i
$892$	−17.5504	+	5.70248i	−0.587631	+	0.190933i
$893$		−	8.66186i		−	0.289858i
$894$	−6.69380	−	20.6014i	−0.223874	−	0.689013i
$895$	−37.3233	−	3.00336i	−1.24758	−	0.100391i
$896$	0.0411950	−	0.126785i	0.00137623	−	0.00423559i
$897$	−13.5112	−	4.39007i	−0.451127	−	0.146580i
$898$	−8.41376	−	11.5805i	−0.280771	−	0.386448i
$899$	−24.8639			−0.829257
$900$	−4.00794	+	7.79821i	−0.133598	+	0.259940i
$901$	2.62063			0.0873060
$902$	−0.560743	−	0.771796i	−0.0186707	−	0.0256980i
$903$	1.79437	+	0.583026i	0.0597129	+	0.0194019i
$904$	−2.32841	+	7.16611i	−0.0774417	+	0.238341i
$905$	−8.51563	+	5.19784i	−0.283069	+	0.172782i
$906$	−5.35819	−	16.4908i	−0.178014	−	0.547871i
$907$		−	31.5985i		−	1.04921i	−0.851346	−	0.524605i	$-0.824213\pi$
$907$		−	31.5985i		−	1.04921i	0.851346	−	0.524605i	$-0.175787\pi$
$908$	−21.4098	+	6.95648i	−0.710511	+	0.230859i
$909$	26.7454	+	19.4317i	0.887088	+	0.644507i
$910$	−0.774293	+	0.184454i	−0.0256676	+	0.00611459i
$911$	−33.0388	+	24.0041i	−1.09462	+	0.795291i	−0.980174	−	0.198138i	$-0.936510\pi$
$911$	−33.0388	+	24.0041i	−1.09462	+	0.795291i	−0.114450	+	0.993429i	$0.536510\pi$
$912$	−0.656223	+	0.903214i	−0.0217297	+	0.0299084i
$913$	−4.25360	+	5.85458i	−0.140774	+	0.193758i
$914$	−1.60266	+	1.16440i	−0.0530114	+	0.0385150i
$915$	14.8950	+	24.4026i	0.492415	+	0.806724i
$916$	−1.14223	−	0.829882i	−0.0377405	−	0.0274201i
$917$	2.76452	−	0.898246i	0.0912924	−	0.0296627i
$918$			4.73238i			0.156192i
$919$	5.08298	+	15.6438i	0.167672	+	0.516041i	0.999223	−	0.0394068i	$-0.0125468\pi$
$919$	5.08298	+	15.6438i	0.167672	+	0.516041i	−0.831551	+	0.555448i	$0.812547\pi$
$920$	4.09517	−	9.83773i	0.135014	−	0.324341i
$921$	8.41689	−	25.9045i	0.277346	−	0.853584i
$922$	−13.3859	−	4.34934i	−0.440841	−	0.143238i
$923$	3.53328	+	4.86314i	0.116299	+	0.160072i
$924$	−0.795261			−0.0261622
$925$	6.65731	−	41.0980i	0.218891	−	1.35129i
$926$	−17.6102			−0.578706
$927$	5.21840	+	7.18252i	0.171395	+	0.235905i
$928$	3.43354	+	1.11563i	0.112712	+	0.0366222i
$929$	13.4502	−	41.3956i	0.441288	−	1.35815i	−0.445215	−	0.895424i	$-0.646873\pi$
$929$	13.4502	−	41.3956i	0.441288	−	1.35815i	0.886504	−	0.462722i	$-0.153127\pi$
$930$	−13.0540	−	11.1889i	−0.428058	−	0.366898i
$931$	2.15763	+	6.64049i	0.0707134	+	0.217633i
$932$		−	8.14789i		−	0.266893i
$933$	28.3039	−	9.19648i	0.926627	−	0.301079i
$934$	29.2849	+	21.2768i	0.958233	+	0.696197i
$935$	−9.83615	−	4.09452i	−0.321677	−	0.133905i
$936$	−3.78815	+	2.75225i	−0.123819	+	0.0899601i
$937$	−17.0243	+	23.4320i	−0.556160	+	0.765489i	−0.990832	−	0.135100i	$-0.956864\pi$
$937$	−17.0243	+	23.4320i	−0.556160	+	0.765489i	0.434672	+	0.900589i	$0.356864\pi$
$938$	0.579814	−	0.798045i	0.0189316	−	0.0260571i
$939$	−12.6323	+	9.17792i	−0.412240	+	0.299510i
$940$	−17.8811	−	7.44342i	−0.583218	−	0.242777i
$941$	33.1557	+	24.0891i	1.08085	+	0.785281i	0.977830	−	0.209399i	$-0.0671507\pi$
$941$	33.1557	+	24.0891i	1.08085	+	0.785281i	0.103016	+	0.994680i	$0.467151\pi$
$942$	16.5201	−	5.36772i	0.538255	−	0.174890i
$943$		−	0.850827i		−	0.0277068i
$944$	−4.43059	−	13.6359i	−0.144203	−	0.443812i
$945$	1.20114	+	1.02952i	0.0390730	+	0.0334904i
$946$	−20.9319	+	64.4217i	−0.680555	+	2.09453i
$947$	−19.6346	−	6.37966i	−0.638038	−	0.207311i	−0.0279058	−	0.999611i	$-0.508884\pi$
$947$	−19.6346	−	6.37966i	−0.638038	−	0.207311i	−0.610133	+	0.792299i	$0.708884\pi$
$948$	10.8941	+	14.9944i	0.353823	+	0.486996i
$949$	40.7031			1.32128
$950$	−0.799509	+	4.93566i	−0.0259395	+	0.160134i
$951$	3.30210			0.107078
$952$	−0.0698726	−	0.0961714i	−0.00226458	−	0.00311693i
$953$	−21.9365	−	7.12761i	−0.710593	−	0.230886i	−0.0686533	−	0.997641i	$-0.521870\pi$
$953$	−21.9365	−	7.12761i	−0.710593	−	0.230886i	−0.641940	+	0.766755i	$0.721870\pi$
$954$	1.59253	−	4.90130i	0.0515600	−	0.158685i
$955$	−5.10095	+	12.2539i	−0.165063	+	0.396526i
$956$	0.0992081	+	0.305331i	0.00320862	+	0.00987512i
$957$		−	21.5369i		−	0.696190i
$958$	−20.7008	+	6.72609i	−0.668812	+	0.217310i
$959$	−1.90697	−	1.38550i	−0.0615793	−	0.0447400i
$960$	1.30064	+	2.13084i	0.0419779	+	0.0687724i
$961$	−13.2933	+	9.65812i	−0.428815	+	0.311552i
$962$	13.0689	−	17.9878i	0.421358	−	0.579949i
$963$	−5.00119	+	6.88355i	−0.161161	+	0.221819i
$964$	10.8353	−	7.87227i	0.348980	−	0.253549i
$965$	48.2480	−	11.4938i	1.55316	−	0.369997i
$966$	−0.573804	−	0.416893i	−0.0184618	−	0.0134133i
$967$	−38.4960	+	12.5081i	−1.23795	+	0.402233i	−0.853587	−	0.520950i	$-0.825578\pi$
$967$	−38.4960	+	12.5081i	−1.23795	+	0.402233i	−0.384359	+	0.923184i	$0.625578\pi$
$968$		−	17.5516i		−	0.564129i
$969$	0.307639	+	0.946816i	0.00988280	+	0.0304161i
$970$	−8.98076	+	5.48175i	−0.288355	+	0.176008i
$971$	5.88689	−	18.1180i	0.188919	−	0.581434i	−0.811075	−	0.584943i	$-0.801117\pi$
$971$	5.88689	−	18.1180i	0.188919	−	0.581434i	0.999994	+	0.00350893i	$0.00111693\pi$
$972$	14.4366	+	4.69075i	0.463055	+	0.150456i
$973$	0.669168	+	0.921030i	0.0214525	+	0.0295269i
$974$	−5.81014			−0.186169
$975$	6.81356	−	13.2571i	0.218209	−	0.424566i
$976$	−11.4521			−0.366573
$977$	2.16110	+	2.97450i	0.0691397	+	0.0951626i	0.842186	−	0.539186i	$-0.181268\pi$
$977$	2.16110	+	2.97450i	0.0691397	+	0.0951626i	−0.773047	+	0.634349i	$0.781268\pi$
$978$	9.29399	+	3.01980i	0.297189	+	0.0965625i
$979$	14.1622	−	43.5868i	0.452626	−	1.39304i
$980$	15.5624	+	1.25229i	0.497124	+	0.0400029i
$981$	0.253136	+	0.779074i	0.00808202	+	0.0248739i
$982$		−	25.1392i		−	0.802225i
$983$	43.4495	−	14.1176i	1.38582	−	0.450281i	0.481244	−	0.876587i	$-0.340185\pi$
$983$	43.4495	−	14.1176i	1.38582	−	0.450281i	0.904579	+	0.426305i	$0.140185\pi$
$984$	0.161258	+	0.117161i	0.00514071	+	0.00373494i
$985$	−2.98674	+	37.1168i	−0.0951653	+	1.18264i
$986$	2.60448	−	1.89226i	0.0829434	−	0.0602619i
$987$	−0.757747	+	1.04295i	−0.0241194	+	0.0331975i
$988$	−1.56951	+	2.16024i	−0.0499327	+	0.0687264i
$989$	−48.8743	+	35.5092i	−1.55411	+	1.12913i
$990$	−13.6352	+	15.9081i	−0.433354	+	0.505592i
$991$	−48.5172	−	35.2498i	−1.54120	−	1.11975i	−0.949578	−	0.313532i	$-0.898488\pi$
$991$	−48.5172	−	35.2498i	−1.54120	−	1.11975i	−0.591622	−	0.806215i	$-0.701512\pi$
$992$	6.54997	−	2.12821i	0.207962	−	0.0675709i
$993$		−	16.2826i		−	0.516713i
$994$	0.0927383	+	0.285419i	0.00294148	+	0.00905294i
$995$	8.24877	+	34.6263i	0.261504	+	1.09773i
$996$	0.467238	−	1.43801i	0.0148050	−	0.0455651i
$997$	−13.7897	−	4.48054i	−0.436724	−	0.141900i	0.0823999	−	0.996599i	$-0.473742\pi$
$997$	−13.7897	−	4.48054i	−0.436724	−	0.141900i	−0.519123	+	0.854699i	$0.673742\pi$
$998$	−4.46343	−	6.14338i	−0.141287	−	0.194465i
$999$	−44.1905			−1.39812

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.a.39.4	✓	88
25.9	even	10	inner	950.2.n.a.609.4	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.a.39.4	✓	88	1.1	even	1	trivial
950.2.n.a.609.4	yes	88	25.9	even	10	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.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-1.06179 - 0.344997i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.518181 - 2.17520i) q^{5} +(0.344997 + 1.06179i) q^{6} +0.133310i q^{7} +(0.951057 - 0.309017i) q^{8} +(-1.41867 - 1.03073i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-1.06179 - 0.344997i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.518181 - 2.17520i) q^{5} +(0.344997 + 1.06179i) q^{6} +0.133310i q^{7} +(0.951057 - 0.309017i) q^{8} +(-1.41867 - 1.03073i) q^{9} +(-1.45519 + 1.69777i) q^{10} +(-4.32287 + 3.14075i) q^{11} +(0.656223 - 0.903214i) q^{12} +(1.56951 - 2.16024i) q^{13} +(0.107850 - 0.0783575i) q^{14} +(-0.200236 + 2.48838i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.848072 + 0.275555i) q^{17} +1.75358i q^{18} +(0.309017 + 0.951057i) q^{19} +(2.22886 + 0.179354i) q^{20} +(0.0459914 - 0.141547i) q^{21} +(5.08184 + 1.65119i) q^{22} +(2.80111 + 3.85540i) q^{23} -1.11643 q^{24} +(-4.46298 + 2.25429i) q^{25} -2.67020 q^{26} +(3.11941 + 4.29349i) q^{27} +(-0.126785 - 0.0411950i) q^{28} +(1.11563 - 3.43354i) q^{29} +(2.13084 - 1.30064i) q^{30} +(-2.12821 - 6.54997i) q^{31} +1.00000i q^{32} +(5.67354 - 1.84344i) q^{33} +(0.721414 + 0.524138i) q^{34} +(0.289975 - 0.0690786i) q^{35} +(1.41867 - 1.03073i) q^{36} +(-4.89434 + 6.73648i) q^{37} +(0.587785 - 0.809017i) q^{38} +(-2.41176 + 1.75225i) q^{39} +(-1.16499 - 1.90861i) q^{40} +(-0.144440 - 0.104942i) q^{41} +(-0.141547 + 0.0459914i) q^{42} +12.6768i q^{43} +(-1.65119 - 5.08184i) q^{44} +(-1.50690 + 3.62000i) q^{45} +(1.47263 - 4.53229i) q^{46} +(-8.23792 - 2.67666i) q^{47} +(0.656223 + 0.903214i) q^{48} +6.98223 q^{49} +(4.44703 + 2.28558i) q^{50} +0.995542 q^{51} +(1.56951 + 2.16024i) q^{52} +(-2.79503 - 0.908160i) q^{53} +(1.63997 - 5.04731i) q^{54} +(9.07179 + 7.77563i) q^{55} +(0.0411950 + 0.126785i) q^{56} -1.11643i q^{57} +(-3.43354 + 1.11563i) q^{58} +(11.5994 + 8.42748i) q^{59} +(-2.30471 - 0.959387i) q^{60} +(9.26496 - 6.73139i) q^{61} +(-4.04810 + 5.57174i) q^{62} +(0.137406 - 0.189123i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-5.51224 - 2.29459i) q^{65} +(-4.82620 - 3.50644i) q^{66} +(7.03744 - 2.28660i) q^{67} -0.891716i q^{68} +(-1.64409 - 5.06000i) q^{69} +(-0.226329 - 0.193991i) q^{70} +(-0.695660 + 2.14102i) q^{71} +(-1.66775 - 0.541885i) q^{72} +(8.95987 + 12.3322i) q^{73} +8.32674 q^{74} +(5.51647 - 0.853877i) q^{75} -1.00000 q^{76} +(-0.418693 - 0.576281i) q^{77} +(2.83520 + 0.921212i) q^{78} +(-5.13005 + 15.7887i) q^{79} +(-0.859332 + 2.06435i) q^{80} +(-0.205261 - 0.631729i) q^{81} +0.178538i q^{82} +(1.28804 - 0.418510i) q^{83} +(0.120407 + 0.0874809i) q^{84} +(1.03884 + 1.70194i) q^{85} +(10.2558 - 7.45126i) q^{86} +(-2.36912 + 3.26082i) q^{87} +(-3.14075 + 4.32287i) q^{88} +(-6.93891 + 5.04142i) q^{89} +(3.81438 - 0.908671i) q^{90} +(0.287981 + 0.209230i) q^{91} +(-4.53229 + 1.47263i) q^{92} +7.68893i q^{93} +(2.67666 + 8.23792i) q^{94} +(1.90861 - 1.16499i) q^{95} +(0.344997 - 1.06179i) q^{96} +(4.47510 + 1.45405i) q^{97} +(-4.10405 - 5.64874i) q^{98} +9.37000 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9}+O(q^{10}) \) 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9	\( 88 q + 22 q^{4} + 10 q^{5} + 2 q^{6} + 24 q^{9} + 26 q^{11} + 10 q^{12} - 10 q^{14} + 12 q^{15} - 22 q^{16} - 40 q^{17} - 22 q^{19} + 10 q^{23} + 8 q^{24} + 6 q^{25} - 28 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} - 4 q^{30} + 2 q^{31} - 8 q^{34} - 48 q^{35} - 24 q^{36} + 50 q^{37} + 8 q^{39} + 32 q^{41} + 10 q^{42} + 4 q^{44} - 8 q^{45} + 10 q^{46} + 10 q^{48} - 56 q^{49} + 28 q^{50} - 60 q^{51} - 70 q^{53} - 8 q^{54} + 4 q^{55} + 10 q^{56} - 60 q^{58} - 28 q^{59} - 12 q^{60} - 58 q^{61} + 60 q^{63} + 22 q^{64} - 24 q^{65} + 4 q^{66} - 70 q^{67} - 8 q^{69} - 4 q^{70} + 48 q^{71} + 40 q^{73} + 52 q^{74} + 108 q^{75} - 88 q^{76} - 50 q^{78} - 20 q^{79} + 24 q^{81} - 80 q^{83} + 30 q^{85} + 20 q^{86} + 70 q^{87} + 10 q^{88} - 62 q^{89} - 104 q^{90} + 20 q^{91} - 10 q^{92} - 10 q^{94} + 2 q^{96} - 10 q^{97} + 60 q^{98} + 156 q^{99}+O(q^{100}) \) 88 * q + 22 * q^4 + 10 * q^5 + 2 * q^6 + 24 * q^9 + 26 * q^11 + 10 * q^12 - 10 * q^14 + 12 * q^15 - 22 * q^16 - 40 * q^17 - 22 * q^19 + 10 * q^23 + 8 * q^24 + 6 * q^25 - 28 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 - 4 * q^30 + 2 * q^31 - 8 * q^34 - 48 * q^35 - 24 * q^36 + 50 * q^37 + 8 * q^39 + 32 * q^41 + 10 * q^42 + 4 * q^44 - 8 * q^45 + 10 * q^46 + 10 * q^48 - 56 * q^49 + 28 * q^50 - 60 * q^51 - 70 * q^53 - 8 * q^54 + 4 * q^55 + 10 * q^56 - 60 * q^58 - 28 * q^59 - 12 * q^60 - 58 * q^61 + 60 * q^63 + 22 * q^64 - 24 * q^65 + 4 * q^66 - 70 * q^67 - 8 * q^69 - 4 * q^70 + 48 * q^71 + 40 * q^73 + 52 * q^74 + 108 * q^75 - 88 * q^76 - 50 * q^78 - 20 * q^79 + 24 * q^81 - 80 * q^83 + 30 * q^85 + 20 * q^86 + 70 * q^87 + 10 * q^88 - 62 * q^89 - 104 * q^90 + 20 * q^91 - 10 * q^92 - 10 * q^94 + 2 * q^96 - 10 * q^97 + 60 * q^98 + 156 * q^99

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