LMFDB - Embedded newform 950.2.n.a.39.12

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			39.12
Character	$\chi$	$=$	950.39
Dual form			950.2.n.a.609.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.587785 + 0.809017i) q^{2} +(-3.09795 - 1.00658i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.367092 + 2.20573i) q^{5} +(-1.00658 - 3.09795i) q^{6} +4.43412i q^{7} +(-0.951057 + 0.309017i) q^{8} +(6.15701 + 4.47333i) q^{9} +O(q^{10})$	\(q+(0.587785 + 0.809017i) q^{2} +(-3.09795 - 1.00658i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.367092 + 2.20573i) q^{5} +(-1.00658 - 3.09795i) q^{6} +4.43412i q^{7} +(-0.951057 + 0.309017i) q^{8} +(6.15701 + 4.47333i) q^{9} +(-2.00024 + 0.999512i) q^{10} +(4.15692 - 3.02018i) q^{11} +(1.91464 - 2.63527i) q^{12} +(-2.71783 + 3.74078i) q^{13} +(-3.58728 + 2.60631i) q^{14} +(3.35748 - 6.46373i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(1.20873 - 0.392741i) q^{17} +7.61049i q^{18} +(0.309017 + 0.951057i) q^{19} +(-1.98434 - 1.03073i) q^{20} +(4.46332 - 13.7367i) q^{21} +(4.88675 + 1.58780i) q^{22} +(3.01283 + 4.14680i) q^{23} +3.25737 q^{24} +(-4.73049 - 1.61941i) q^{25} -4.62386 q^{26} +(-8.82741 - 12.1499i) q^{27} +(-4.21710 - 1.37022i) q^{28} +(-0.358092 + 1.10209i) q^{29} +(7.20274 - 1.08302i) q^{30} +(1.57847 + 4.85802i) q^{31} -1.00000i q^{32} +(-15.9180 + 5.17206i) q^{33} +(1.02821 + 0.747037i) q^{34} +(-9.78048 - 1.62773i) q^{35} +(-6.15701 + 4.47333i) q^{36} +(-3.87574 + 5.33450i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(12.1851 - 8.85300i) q^{39} +(-0.332483 - 2.21121i) q^{40} +(0.00753550 + 0.00547486i) q^{41} +(13.7367 - 4.46332i) q^{42} -8.67878i q^{43} +(1.58780 + 4.88675i) q^{44} +(-12.1272 + 11.9386i) q^{45} +(-1.58394 + 4.87486i) q^{46} +(2.68291 + 0.871731i) q^{47} +(1.91464 + 2.63527i) q^{48} -12.6615 q^{49} +(-1.47038 - 4.77891i) q^{50} -4.13991 q^{51} +(-2.71783 - 3.74078i) q^{52} +(-2.67905 - 0.870475i) q^{53} +(4.64084 - 14.2830i) q^{54} +(5.13573 + 10.2777i) q^{55} +(-1.37022 - 4.21710i) q^{56} -3.25737i q^{57} +(-1.10209 + 0.358092i) q^{58} +(-8.68705 - 6.31151i) q^{59} +(5.10985 + 5.19056i) q^{60} +(-12.0886 + 8.78290i) q^{61} +(-3.00242 + 4.13248i) q^{62} +(-19.8353 + 27.3010i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-7.25345 - 7.36802i) q^{65} +(-13.5406 - 9.83785i) q^{66} +(6.07020 - 1.97233i) q^{67} +1.27094i q^{68} +(-5.15948 - 15.8792i) q^{69} +(-4.43196 - 8.86933i) q^{70} +(2.09486 - 6.44733i) q^{71} +(-7.23800 - 2.35177i) q^{72} +(0.368855 + 0.507686i) q^{73} -6.59381 q^{74} +(13.0247 + 9.77848i) q^{75} -1.00000 q^{76} +(13.3918 + 18.4323i) q^{77} +(14.3245 + 4.65430i) q^{78} +(2.52534 - 7.77219i) q^{79} +(1.59348 - 1.56870i) q^{80} +(8.06165 + 24.8112i) q^{81} +0.00931439i q^{82} +(-2.08395 + 0.677117i) q^{83} +(11.6851 + 8.48974i) q^{84} +(0.422565 + 2.81031i) q^{85} +(7.02128 - 5.10126i) q^{86} +(2.21870 - 3.05378i) q^{87} +(-3.02018 + 4.15692i) q^{88} +(-4.24827 + 3.08655i) q^{89} +(-16.7867 - 2.79375i) q^{90} +(-16.5871 - 12.0512i) q^{91} +(-4.87486 + 1.58394i) q^{92} -16.6388i q^{93} +(0.871731 + 2.68291i) q^{94} +(-2.21121 + 0.332483i) q^{95} +(-1.00658 + 3.09795i) q^{96} +(7.71856 + 2.50791i) q^{97} +(-7.44222 - 10.2433i) q^{98} +39.1045 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
$3$	−3.09795	−	1.00658i	−1.78860	−	0.581152i	−0.789147	−	0.614204i	$-0.789477\pi$
$3$	−3.09795	−	1.00658i	−1.78860	−	0.581152i	−0.999454	+	0.0330528i	$0.989477\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	−0.367092	+	2.20573i	−0.164168	+	0.986432i
$5$	−0.367092	+	2.20573i	−0.164168	+	0.986432i
$6$	−1.00658	−	3.09795i	−0.410936	−	1.26473i
$7$			4.43412i			1.67594i	0.545715	+	0.837971i	$0.316258\pi$
$7$			4.43412i			1.67594i	−0.545715	+	0.837971i	$0.683742\pi$
$8$	−0.951057	+	0.309017i	−0.336249	+	0.109254i
$9$	6.15701	+	4.47333i	2.05234	+	1.49111i
$10$	−2.00024	+	0.999512i	−0.632533	+	0.316073i
$11$	4.15692	−	3.02018i	1.25336	−	0.910618i	0.254946	−	0.966955i	$-0.417942\pi$
$11$	4.15692	−	3.02018i	1.25336	−	0.910618i	0.998412	+	0.0563372i	$0.0179422\pi$
$12$	1.91464	−	2.63527i	0.552708	−	0.760737i
$13$	−2.71783	+	3.74078i	−0.753792	+	1.03751i	0.243913	+	0.969797i	$0.421569\pi$
$13$	−2.71783	+	3.74078i	−0.753792	+	1.03751i	−0.997705	+	0.0677082i	$0.978431\pi$
$14$	−3.58728	+	2.60631i	−0.958741	+	0.696566i
$15$	3.35748	−	6.46373i	0.866898	−	1.66893i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	1.20873	−	0.392741i	0.293161	−	0.0952536i	−0.158744	−	0.987320i	$-0.550745\pi$
$17$	1.20873	−	0.392741i	0.293161	−	0.0952536i	0.451905	+	0.892066i	$0.350745\pi$
$18$			7.61049i			1.79381i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$19$	0.309017	+	0.951057i	0.0708934	+	0.218187i
$20$	−1.98434	−	1.03073i	−0.443711	−	0.230479i
$21$	4.46332	−	13.7367i	0.973976	−	2.99759i
$22$	4.88675	+	1.58780i	1.04186	+	0.338520i
$23$	3.01283	+	4.14680i	0.628218	+	0.864668i	0.997919	−	0.0644827i	$-0.0205397\pi$
$23$	3.01283	+	4.14680i	0.628218	+	0.864668i	−0.369701	+	0.929151i	$0.620540\pi$
$24$	3.25737			0.664909
$25$	−4.73049	−	1.61941i	−0.946097	−	0.323882i
$26$	−4.62386			−0.906813
$27$	−8.82741	−	12.1499i	−1.69884	−	2.33825i
$28$	−4.21710	−	1.37022i	−0.796957	−	0.258947i
$29$	−0.358092	+	1.10209i	−0.0664960	+	0.204654i	−0.978784	−	0.204896i	$-0.934314\pi$
$29$	−0.358092	+	1.10209i	−0.0664960	+	0.204654i	0.912288	+	0.409550i	$0.134314\pi$
$30$	7.20274	−	1.08302i	1.31503	−	0.197732i
$31$	1.57847	+	4.85802i	0.283501	+	0.872527i	0.986844	+	0.161676i	$0.0516900\pi$
$31$	1.57847	+	4.85802i	0.283501	+	0.872527i	−0.703343	+	0.710851i	$0.748310\pi$
$32$		−	1.00000i		−	0.176777i
$33$	−15.9180	+	5.17206i	−2.77096	+	0.900341i
$34$	1.02821	+	0.747037i	0.176336	+	0.128116i
$35$	−9.78048	−	1.62773i	−1.65320	−	0.275137i
$36$	−6.15701	+	4.47333i	−1.02617	+	0.745555i
$37$	−3.87574	+	5.33450i	−0.637168	+	0.876987i	−0.998461	−	0.0554658i	$-0.982336\pi$
$37$	−3.87574	+	5.33450i	−0.637168	+	0.876987i	0.361292	+	0.932453i	$0.382336\pi$
$38$	−0.587785	+	0.809017i	−0.0953514	+	0.131240i
$39$	12.1851	−	8.85300i	1.95118	−	1.41762i
$40$	−0.332483	−	2.21121i	−0.0525702	−	0.349623i
$41$	0.00753550	+	0.00547486i	0.00117685	+	0.000855030i	0.588374	−	0.808589i	$-0.299768\pi$
$41$	0.00753550	+	0.00547486i	0.00117685	+	0.000855030i	−0.587197	+	0.809444i	$0.699768\pi$
$42$	13.7367	−	4.46332i	2.11962	−	0.688705i
$43$		−	8.67878i		−	1.32350i	−0.749724	−	0.661751i	$-0.769814\pi$
$43$		−	8.67878i		−	1.32350i	0.749724	−	0.661751i	$-0.230186\pi$
$44$	1.58780	+	4.88675i	0.239370	+	0.736705i
$45$	−12.1272	+	11.9386i	−1.80781	+	1.77970i
$46$	−1.58394	+	4.87486i	−0.233539	+	0.718759i
$47$	2.68291	+	0.871731i	0.391343	+	0.127155i	0.498078	−	0.867132i	$-0.334039\pi$
$47$	2.68291	+	0.871731i	0.391343	+	0.127155i	−0.106734	+	0.994288i	$0.534039\pi$
$48$	1.91464	+	2.63527i	0.276354	+	0.380369i
$49$	−12.6615			−1.80878
$50$	−1.47038	−	4.77891i	−0.207943	−	0.675840i
$51$	−4.13991			−0.579704
$52$	−2.71783	−	3.74078i	−0.376896	−	0.518753i
$53$	−2.67905	−	0.870475i	−0.367995	−	0.119569i	0.119181	−	0.992873i	$-0.461973\pi$
$53$	−2.67905	−	0.870475i	−0.367995	−	0.119569i	−0.487176	+	0.873304i	$0.661973\pi$
$54$	4.64084	−	14.2830i	0.631539	−	1.94368i
$55$	5.13573	+	10.2777i	0.692501	+	1.38585i
$56$	−1.37022	−	4.21710i	−0.183103	−	0.563534i
$57$		−	3.25737i		−	0.431450i
$58$	−1.10209	+	0.358092i	−0.144712	+	0.0470198i
$59$	−8.68705	−	6.31151i	−1.13096	−	0.821689i	−0.145124	−	0.989414i	$-0.546358\pi$
$59$	−8.68705	−	6.31151i	−1.13096	−	0.821689i	−0.985834	+	0.167725i	$0.946358\pi$
$60$	5.10985	+	5.19056i	0.659679	+	0.670098i
$61$	−12.0886	+	8.78290i	−1.54779	+	1.12454i	−0.602588	+	0.798053i	$0.705864\pi$
$61$	−12.0886	+	8.78290i	−1.54779	+	1.12454i	−0.945203	+	0.326483i	$0.894136\pi$
$62$	−3.00242	+	4.13248i	−0.381308	+	0.524826i
$63$	−19.8353	+	27.3010i	−2.49901	+	3.43960i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−7.25345	−	7.36802i	−0.899680	−	0.913890i
$66$	−13.5406	−	9.83785i	−1.66674	−	1.21096i
$67$	6.07020	−	1.97233i	0.741593	−	0.240958i	0.0862331	−	0.996275i	$-0.472517\pi$
$67$	6.07020	−	1.97233i	0.741593	−	0.240958i	0.655360	+	0.755317i	$0.272517\pi$
$68$			1.27094i			0.154124i
$69$	−5.15948	−	15.8792i	−0.621128	−	1.91164i
$70$	−4.43196	−	8.86933i	−0.529721	−	1.06009i
$71$	2.09486	−	6.44733i	0.248615	−	0.765157i	−0.746406	−	0.665491i	$-0.768222\pi$
$71$	2.09486	−	6.44733i	0.248615	−	0.765157i	0.995021	−	0.0996665i	$-0.0317776\pi$
$72$	−7.23800	−	2.35177i	−0.853007	−	0.277159i
$73$	0.368855	+	0.507686i	0.0431713	+	0.0594201i	0.830057	−	0.557679i	$-0.188308\pi$
$73$	0.368855	+	0.507686i	0.0431713	+	0.0594201i	−0.786886	+	0.617099i	$0.788308\pi$
$74$	−6.59381			−0.766515
$75$	13.0247	+	9.77848i	1.50397	+	1.12912i
$76$	−1.00000			−0.114708
$77$	13.3918	+	18.4323i	1.52614	+	2.10055i
$78$	14.3245	+	4.65430i	1.62193	+	0.526996i
$79$	2.52534	−	7.77219i	0.284123	−	0.874440i	−0.702537	−	0.711647i	$-0.747950\pi$
$79$	2.52534	−	7.77219i	0.284123	−	0.874440i	0.986660	−	0.162793i	$-0.0520503\pi$
$80$	1.59348	−	1.56870i	0.178156	−	0.175386i
$81$	8.06165	+	24.8112i	0.895739	+	2.75680i
$82$			0.00931439i			0.00102860i
$83$	−2.08395	+	0.677117i	−0.228744	+	0.0743233i	−0.421146	−	0.906993i	$-0.638372\pi$
$83$	−2.08395	+	0.677117i	−0.228744	+	0.0743233i	0.192403	+	0.981316i	$0.438372\pi$
$84$	11.6851	+	8.48974i	1.27495	+	0.926306i
$85$	0.422565	+	2.81031i	0.0458336	+	0.304821i
$86$	7.02128	−	5.10126i	0.757124	−	0.550083i
$87$	2.21870	−	3.05378i	0.237870	−	0.327399i
$88$	−3.02018	+	4.15692i	−0.321952	+	0.443129i
$89$	−4.24827	+	3.08655i	−0.450316	+	0.327174i	−0.789720	−	0.613467i	$-0.789774\pi$
$89$	−4.24827	+	3.08655i	−0.450316	+	0.327174i	0.339405	+	0.940640i	$0.389774\pi$
$90$	−16.7867	−	2.79375i	−1.76947	−	0.294487i
$91$	−16.5871	−	12.0512i	−1.73880	−	1.26331i
$92$	−4.87486	+	1.58394i	−0.508239	+	0.165137i
$93$		−	16.6388i		−	1.72536i
$94$	0.871731	+	2.68291i	0.0899122	+	0.276721i
$95$	−2.21121	+	0.332483i	−0.226865	+	0.0341120i
$96$	−1.00658	+	3.09795i	−0.102734	+	0.316183i
$97$	7.71856	+	2.50791i	0.783701	+	0.254640i	0.673419	−	0.739261i	$-0.264825\pi$
$97$	7.71856	+	2.50791i	0.783701	+	0.254640i	0.110281	+	0.993900i	$0.464825\pi$
$98$	−7.44222	−	10.2433i	−0.751777	−	1.03473i
$99$	39.1045			3.93015
$100$	3.00195	−	3.99854i	0.300195	−	0.399854i
$101$	5.85302			0.582397			0.291199	−	0.956663i	$-0.405946\pi$
$101$	5.85302			0.582397			0.291199	+	0.956663i	$0.405946\pi$
$102$	−2.43338	−	3.34926i	−0.240941	−	0.331626i
$103$	2.10792	+	0.684904i	0.207699	+	0.0674856i	0.411019	−	0.911627i	$-0.365173\pi$
$103$	2.10792	+	0.684904i	0.207699	+	0.0674856i	−0.203320	+	0.979112i	$0.565173\pi$
$104$	1.42885	−	4.39755i	0.140110	−	0.431215i
$105$	28.6610	+	14.8875i	2.79702	+	1.45287i
$106$	−0.870475	−	2.67905i	−0.0845480	−	0.260212i
$107$		−	13.5450i		−	1.30945i	−0.755869	−	0.654723i	$-0.772785\pi$
$107$		−	13.5450i		−	1.30945i	0.755869	−	0.654723i	$-0.227215\pi$
$108$	14.2830	−	4.64084i	1.37439	−	0.446565i
$109$	−0.196789	−	0.142976i	−0.0188490	−	0.0136946i	0.578321	−	0.815809i	$-0.303708\pi$
$109$	−0.196789	−	0.142976i	−0.0188490	−	0.0136946i	−0.597170	+	0.802115i	$0.703708\pi$
$110$	−5.29615	+	10.1960i	−0.504968	+	0.972149i
$111$	17.3765	−	12.6247i	1.64930	−	1.19829i
$112$	2.60631	−	3.58728i	0.246273	−	0.338966i
$113$	4.93643	−	6.79442i	0.464381	−	0.639165i	−0.511029	−	0.859563i	$-0.670736\pi$
$113$	4.93643	−	6.79442i	0.464381	−	0.639165i	0.975410	+	0.220398i	$0.0707356\pi$
$114$	2.63527	−	1.91464i	0.246816	−	0.179322i
$115$	−10.2527	+	5.12323i	−0.956070	+	0.477744i
$116$	−0.937497	−	0.681131i	−0.0870444	−	0.0632415i
$117$	−33.4675	+	10.8742i	−3.09407	+	1.00532i
$118$		−	10.7378i		−	0.988493i
$119$	1.74146	+	5.35967i	0.159640	+	0.491320i
$120$	−1.19576	+	7.18489i	−0.109157	+	0.655887i
$121$	4.75931	−	14.6477i	0.432665	−	1.33160i
$122$	−14.2110	−	4.61745i	−1.28661	−	0.418044i
$123$	−0.0178337	−	0.0245460i	−0.00160801	−	0.00221323i
$124$	−5.10803			−0.458715
$125$	5.30850	−	9.83970i	0.474807	−	0.880090i
$126$	−33.7458			−3.00632
$127$	2.55589	+	3.51788i	0.226799	+	0.312162i	0.907218	−	0.420662i	$-0.138202\pi$
$127$	2.55589	+	3.51788i	0.226799	+	0.312162i	−0.680419	+	0.732823i	$0.738202\pi$
$128$	0.951057	+	0.309017i	0.0840623	+	0.0273135i
$129$	−8.73592	+	26.8864i	−0.769155	+	2.36722i
$130$	1.69738	−	10.1990i	0.148870	−	0.894509i
$131$	4.86108	+	14.9609i	0.424715	+	1.30714i	0.903267	+	0.429078i	$0.141162\pi$
$131$	4.86108	+	14.9609i	0.424715	+	1.30714i	−0.478553	+	0.878059i	$0.658838\pi$
$132$		−	16.7372i		−	1.45678i
$133$	−4.21710	+	1.37022i	−0.365669	+	0.118813i
$134$	5.16362	+	3.75159i	0.446069	+	0.324088i
$135$	30.0398	−	15.0108i	2.58542	−	1.29192i
$136$	−1.02821	+	0.747037i	−0.0881682	+	0.0640579i
$137$	−10.3128	+	14.1944i	−0.881085	+	1.21271i	0.0950347	+	0.995474i	$0.469704\pi$
$137$	−10.3128	+	14.1944i	−0.881085	+	1.21271i	−0.976119	+	0.217235i	$0.930296\pi$
$138$	9.81391	−	13.5077i	0.835416	−	1.14985i
$139$	17.2908	−	12.5625i	1.46659	−	1.06554i	0.485001	−	0.874514i	$-0.338819\pi$
$139$	17.2908	−	12.5625i	1.46659	−	1.06554i	0.981585	−	0.191024i	$-0.0611807\pi$
$140$	4.57040	−	8.79879i	0.386269	−	0.743634i
$141$	−7.43405	−	5.40115i	−0.626060	−	0.454859i
$142$	6.44733	−	2.09486i	0.541048	−	0.175797i
$143$			23.7585i			1.98678i
$144$	−2.35177	−	7.23800i	−0.195981	−	0.603167i
$145$	−2.29947	−	1.19442i	−0.190960	−	0.0991915i
$146$	−0.193919	+	0.596820i	−0.0160488	+	0.0493932i
$147$	39.2245	+	12.7448i	3.23518	+	1.05117i
$148$	−3.87574	−	5.33450i	−0.318584	−	0.438493i
$149$	19.0773			1.56287			0.781437	−	0.623985i	$-0.214487\pi$
$149$	19.0773			1.56287			0.781437	+	0.623985i	$0.214487\pi$
$150$	−0.255214	+	16.2849i	−0.0208381	+	1.32965i
$151$	−9.03226			−0.735035			−0.367518	−	0.930017i	$-0.619792\pi$
$151$	−9.03226			−0.735035			−0.367518	+	0.930017i	$0.619792\pi$
$152$	−0.587785	−	0.809017i	−0.0476757	−	0.0656199i
$153$	9.19904	+	2.98895i	0.743698	+	0.241642i
$154$	−7.04051	+	21.6685i	−0.567340	+	1.74609i
$155$	−11.2949	+	1.69833i	−0.907231	+	0.136413i
$156$	4.65430	+	14.3245i	0.372642	+	1.14687i
$157$		−	15.2666i		−	1.21841i	−0.793013	−	0.609205i	$-0.791489\pi$
$157$		−	15.2666i		−	1.21841i	0.793013	−	0.609205i	$-0.208511\pi$
$158$	7.77219	−	2.52534i	0.618322	−	0.200905i
$159$	7.42334	+	5.39337i	0.588709	+	0.427722i
$160$	2.20573	+	0.367092i	0.174378	+	0.0290211i
$161$	−18.3874	+	13.3593i	−1.44913	+	1.05286i
$162$	−15.3342	+	21.1057i	−1.20477	+	1.65822i
$163$	−9.03376	+	12.4339i	−0.707579	+	0.973898i	0.292267	+	0.956337i	$0.405590\pi$
$163$	−9.03376	+	12.4339i	−0.707579	+	0.973898i	−0.999846	+	0.0175618i	$0.994410\pi$
$164$	−0.00753550	+	0.00547486i	−0.000588424	+	0.000427515i
$165$	−5.56482	−	37.0094i	−0.433221	−	2.88118i
$166$	−1.77272	−	1.28795i	−0.137589	−	0.0999646i
$167$	−3.45688	+	1.12321i	−0.267501	+	0.0869164i	−0.439696	−	0.898146i	$-0.644914\pi$
$167$	−3.45688	+	1.12321i	−0.267501	+	0.0869164i	0.172195	+	0.985063i	$0.444914\pi$
$168$			14.4436i			1.11435i
$169$	−2.58958	−	7.96990i	−0.199198	−	0.613069i
$170$	−2.02521	+	1.99372i	−0.155326	+	0.152911i
$171$	−2.35177	+	7.23800i	−0.179844	+	0.553504i
$172$	8.25401	+	2.68189i	0.629362	+	0.204492i
$173$	−4.86755	−	6.69960i	−0.370073	−	0.509362i	0.582848	−	0.812581i	$-0.301938\pi$
$173$	−4.86755	−	6.69960i	−0.370073	−	0.509362i	−0.952921	+	0.303220i	$0.901938\pi$
$174$	3.77468			0.286158
$175$	7.18066	−	20.9756i	0.542807	−	1.58560i
$176$	−5.13823			−0.387309
$177$	20.5590	+	28.2970i	1.54531	+	2.12693i
$178$	−4.99414	−	1.62269i	−0.374327	−	0.121626i
$179$	−6.38592	+	19.6538i	−0.477306	+	1.46900i	0.365516	+	0.930805i	$0.380893\pi$
$179$	−6.38592	+	19.6538i	−0.477306	+	1.46900i	−0.842822	+	0.538192i	$0.819107\pi$
$180$	−7.60677	−	15.2228i	−0.566975	−	1.13464i
$181$	−1.83402	−	5.64452i	−0.136321	−	0.419554i	0.859472	−	0.511183i	$-0.170793\pi$
$181$	−1.83402	−	5.64452i	−0.136321	−	0.419554i	−0.995793	+	0.0916290i	$0.970793\pi$
$182$		−	20.5028i		−	1.51976i
$183$	46.2907	−	15.0408i	3.42191	−	1.11184i
$184$	−4.14680	−	3.01283i	−0.305706	−	0.222109i
$185$	−10.3437	−	10.5071i	−0.760485	−	0.772497i
$186$	13.4610	−	9.78002i	0.987012	−	0.717106i
$187$	3.83845	−	5.28318i	0.280696	−	0.386344i
$188$	−1.65813	+	2.28222i	−0.120932	+	0.166448i
$189$	53.8741	−	39.1418i	3.91876	−	2.84715i
$190$	−1.56870	−	1.59348i	−0.113806	−	0.115603i
$191$	12.3125	+	8.94556i	0.890902	+	0.647278i	0.936113	−	0.351699i	$-0.114396\pi$
$191$	12.3125	+	8.94556i	0.890902	+	0.647278i	−0.0452112	+	0.998977i	$0.514396\pi$
$192$	−3.09795	+	1.00658i	−0.223575	+	0.0726439i
$193$		−	16.9505i		−	1.22012i	−0.792355	−	0.610060i	$-0.791145\pi$
$193$		−	16.9505i		−	1.22012i	0.792355	−	0.610060i	$-0.208855\pi$
$194$	2.50791	+	7.71856i	0.180058	+	0.554160i
$195$	15.0543	+	30.1269i	1.07806	+	2.15743i
$196$	3.91260	−	12.0418i	0.279472	−	0.860126i
$197$	−9.69639	−	3.15055i	−0.690839	−	0.224467i	−0.0575044	−	0.998345i	$-0.518314\pi$
$197$	−9.69639	−	3.15055i	−0.690839	−	0.224467i	−0.633335	+	0.773878i	$0.718314\pi$
$198$	22.9850	+	31.6362i	1.63347	+	2.24829i
$199$	−11.1752			−0.792190			−0.396095	−	0.918210i	$-0.629635\pi$
$199$	−11.1752			−0.792190			−0.396095	+	0.918210i	$0.629635\pi$
$200$	4.99939	+	0.0783495i	0.353510	+	0.00554015i
$201$	−20.7905			−1.46645
$202$	3.44032	+	4.73519i	0.242060	+	0.333167i
$203$	−4.88682	−	1.58782i	−0.342988	−	0.111443i
$204$	1.27930	−	3.93729i	0.0895692	−	0.275666i
$205$	−0.0148423	+	0.0146115i	−0.00103663	+	0.00102051i
$206$	0.684904	+	2.10792i	0.0477195	+	0.146866i
$207$			39.0093i			2.71133i
$208$	4.39755	−	1.42885i	0.304915	−	0.0990729i
$209$	4.15692	+	3.02018i	0.287540	+	0.208910i
$210$	4.80225	+	31.9379i	0.331387	+	2.20392i
$211$	1.99166	−	1.44703i	0.137111	−	0.0996173i	−0.517115	−	0.855916i	$-0.672994\pi$
$211$	1.99166	−	1.44703i	0.137111	−	0.0996173i	0.654227	+	0.756298i	$0.272994\pi$
$212$	1.65574	−	2.27893i	0.113717	−	0.156518i
$213$	−12.9796	+	17.8648i	−0.889344	+	1.22408i
$214$	10.9582	−	7.96156i	0.749084	−	0.544241i
$215$	19.1430	+	3.18591i	1.30554	+	0.217277i
$216$	12.1499	+	8.82741i	0.826695	+	0.600629i
$217$	−21.5411	+	6.99912i	−1.46230	+	0.475131i
$218$		−	0.243245i		−	0.0164746i
$219$	−0.631666	−	1.94407i	−0.0426840	−	0.131368i
$220$	−11.3617	+	1.70838i	−0.766007	+	0.115179i
$221$	−1.81598	+	5.58900i	−0.122156	+	0.375957i
$222$	20.4273	+	6.63722i	1.37099	+	0.445461i
$223$	−9.53844	−	13.1285i	−0.638741	−	0.879152i	0.359807	−	0.933027i	$-0.382843\pi$
$223$	−9.53844	−	13.1285i	−0.638741	−	0.879152i	−0.998548	+	0.0538753i	$0.982843\pi$
$224$	4.43412			0.296267
$225$	−21.8815	−	31.1318i	−1.45877	−	2.07545i
$226$	8.39836			0.558651
$227$	7.14722	+	9.83731i	0.474378	+	0.652925i	0.977412	−	0.211341i	$-0.0677831\pi$
$227$	7.14722	+	9.83731i	0.474378	+	0.652925i	−0.503034	+	0.864266i	$0.667783\pi$
$228$	3.09795	+	1.00658i	0.205167	+	0.0666627i
$229$	−0.962507	+	2.96229i	−0.0636043	+	0.195754i	−0.977809	−	0.209499i	$-0.932817\pi$
$229$	−0.962507	+	2.96229i	−0.0636043	+	0.195754i	0.914205	+	0.405253i	$0.132817\pi$
$230$	−10.1712	−	5.28326i	−0.670667	−	0.348368i
$231$	−22.9336	−	70.5823i	−1.50892	−	4.64397i
$232$		−	1.15881i		−	0.0760796i
$233$	−1.47395	+	0.478916i	−0.0965618	+	0.0313748i	−0.356899	−	0.934143i	$-0.616166\pi$
$233$	−1.47395	+	0.478916i	−0.0965618	+	0.0313748i	0.260338	+	0.965518i	$0.416166\pi$
$234$	−28.4691	−	20.6840i	−1.86109	−	1.35216i
$235$	−2.90768	+	5.59778i	−0.189676	+	0.365159i
$236$	8.68705	−	6.31151i	0.565479	−	0.410844i
$237$	−15.6467	+	21.5359i	−1.01636	+	1.39891i
$238$	−3.31246	+	4.55921i	−0.214715	+	0.295529i
$239$	−7.01708	+	5.09821i	−0.453897	+	0.329776i	−0.791133	−	0.611645i	$-0.790508\pi$
$239$	−7.01708	+	5.09821i	−0.453897	+	0.329776i	0.337235	+	0.941420i	$0.390508\pi$
$240$	−6.51554	+	3.25578i	−0.420577	+	0.210160i
$241$	24.2681	+	17.6318i	1.56324	+	1.13576i	0.933286	+	0.359134i	$0.116928\pi$
$241$	24.2681	+	17.6318i	1.56324	+	1.13576i	0.629958	+	0.776629i	$0.283072\pi$
$242$	14.6477	−	4.75931i	0.941587	−	0.305940i
$243$		−	39.9243i		−	2.56115i
$244$	−4.61745	−	14.2110i	−0.295602	−	0.909769i
$245$	4.64791	−	27.9277i	0.296944	−	1.78424i
$246$	0.00937572	−	0.0288555i	0.000597774	−	0.00183976i
$247$	−4.39755	−	1.42885i	−0.279809	−	0.0909156i
$248$	−3.00242	−	4.13248i	−0.190654	−	0.262413i
$249$	7.13755			0.452324
$250$	11.0807	−	1.48896i	0.700808	−	0.0941703i
$251$	−7.06984			−0.446245			−0.223122	−	0.974790i	$-0.571625\pi$
$251$	−7.06984			−0.446245			−0.223122	+	0.974790i	$0.571625\pi$
$252$	−19.8353	−	27.3010i	−1.24951	−	1.71980i
$253$	25.0482	+	8.13864i	1.57477	+	0.511672i
$254$	−1.34371	+	4.13552i	−0.0843120	+	0.259486i
$255$	1.51973	−	9.13153i	0.0951691	−	0.571839i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$			21.6109i			1.34805i	0.738708	+	0.674026i	$0.235436\pi$
$257$			21.6109i			1.34805i	−0.738708	+	0.674026i	$0.764564\pi$
$258$	−26.8864	+	8.73592i	−1.67387	+	0.543875i
$259$	−23.6538	−	17.1855i	−1.46978	−	1.06786i
$260$	9.24884	−	4.62160i	0.573589	−	0.286619i
$261$	−7.13481	+	5.18374i	−0.441634	+	0.320866i
$262$	−9.24632	+	12.7265i	−0.571240	+	0.786244i
$263$	−7.15301	+	9.84528i	−0.441074	+	0.607086i	−0.970450	−	0.241301i	$-0.922426\pi$
$263$	−7.15301	+	9.84528i	−0.441074	+	0.607086i	0.529377	+	0.848387i	$0.322426\pi$
$264$	13.5406	−	9.83785i	0.833369	−	0.605478i
$265$	2.90349	−	5.58971i	0.178360	−	0.343373i
$266$	−3.58728	−	2.60631i	−0.219950	−	0.159803i
$267$	16.2678	−	5.28572i	0.995572	−	0.323481i
$268$			6.38259i			0.389878i
$269$	0.807367	+	2.48482i	0.0492260	+	0.151502i	0.972648	−	0.232284i	$-0.0746199\pi$
$269$	0.807367	+	2.48482i	0.0492260	+	0.151502i	−0.923422	+	0.383786i	$0.874620\pi$
$270$	29.8009	+	15.4796i	1.81363	+	0.942060i
$271$	−3.07167	+	9.45362i	−0.186591	+	0.574267i	−0.999972	−	0.00746392i	$-0.997624\pi$
$271$	−3.07167	+	9.45362i	−0.186591	+	0.574267i	0.813382	+	0.581730i	$0.197624\pi$
$272$	−1.20873	−	0.392741i	−0.0732901	−	0.0238134i
$273$	39.2553	+	54.0303i	2.37584	+	3.27006i
$274$	−17.5452			−1.05995
$275$	−24.5552	+	7.55516i	−1.48073	+	0.455593i
$276$	16.6964			1.00501
$277$	3.28687	+	4.52398i	0.197489	+	0.271820i	0.896264	−	0.443522i	$-0.146271\pi$
$277$	3.28687	+	4.52398i	0.197489	+	0.271820i	−0.698775	+	0.715342i	$0.746271\pi$
$278$	20.3266	+	6.60450i	1.21911	+	0.396111i
$279$	−12.0129	+	36.9719i	−0.719194	+	2.21345i
$280$	9.80478	−	1.47427i	0.585948	−	0.0881045i
$281$	2.60364	+	8.01319i	0.155320	+	0.478027i	0.998193	−	0.0600860i	$-0.0191375\pi$
$281$	2.60364	+	8.01319i	0.155320	+	0.478027i	−0.842873	+	0.538113i	$0.819137\pi$
$282$		−	9.18899i		−	0.547197i
$283$	8.79163	−	2.85657i	0.522608	−	0.169806i	−0.0358205	−	0.999358i	$-0.511404\pi$
$283$	8.79163	−	2.85657i	0.522608	−	0.169806i	0.558429	+	0.829553i	$0.311404\pi$
$284$	5.48442	+	3.98467i	0.325441	+	0.236447i
$285$	7.18489	+	1.19576i	0.425596	+	0.0708304i
$286$	−19.2210	+	13.9649i	−1.13656	+	0.825760i
$287$	−0.0242762	+	0.0334134i	−0.00143298	+	0.00197233i
$288$	4.47333	−	6.15701i	0.263594	−	0.362806i
$289$	−12.4465	+	9.04291i	−0.732147	+	0.531936i
$290$	−0.385285	−	2.56237i	−0.0226247	−	0.150468i
$291$	−21.3873	−	15.5388i	−1.25374	−	0.910898i
$292$	−0.596820	+	0.193919i	−0.0349263	+	0.0113482i
$293$			18.9312i			1.10597i	0.833190	+	0.552987i	$0.186512\pi$
$293$			18.9312i			1.10597i	−0.833190	+	0.552987i	$0.813488\pi$
$294$	12.7448	+	39.2245i	0.743293	+	2.28762i
$295$	17.1104	−	16.8444i	0.996208	−	0.980718i
$296$	2.03760	−	6.27108i	0.118433	−	0.364499i
$297$	−73.3896	−	23.8457i	−4.25850	−	1.38367i
$298$	11.2134	+	15.4339i	0.649572	+	0.894059i
$299$	−23.7006			−1.37064
$300$	−13.3247	+	9.36554i	−0.769305	+	0.540719i
$301$	38.4828			2.21811
$302$	−5.30903	−	7.30725i	−0.305500	−	0.420485i
$303$	−18.1324	−	5.89156i	−1.04168	−	0.338461i
$304$	0.309017	−	0.951057i	0.0177233	−	0.0545468i
$305$	−14.9351	−	29.8884i	−0.855180	−	1.71140i
$306$	2.98895	+	9.19904i	0.170867	+	0.525874i
$307$		−	30.1160i		−	1.71881i	−0.511293	−	0.859406i	$-0.670833\pi$
$307$		−	30.1160i		−	1.71881i	0.511293	−	0.859406i	$-0.329167\pi$
$308$	−21.6685	+	7.04051i	−1.23468	+	0.401170i
$309$	−5.84081	−	4.24359i	−0.332272	−	0.241410i
$310$	−8.01298	−	8.13954i	−0.455106	−	0.462295i
$311$	−5.95584	+	4.32717i	−0.337725	+	0.245371i	−0.743701	−	0.668512i	$-0.766931\pi$
$311$	−5.95584	+	4.32717i	−0.337725	+	0.245371i	0.405976	+	0.913884i	$0.366931\pi$
$312$	−8.85300	+	12.1851i	−0.501203	+	0.689846i
$313$	−5.13662	+	7.06994i	−0.290339	+	0.399617i	−0.929124	−	0.369768i	$-0.879437\pi$
$313$	−5.13662	+	7.06994i	−0.290339	+	0.399617i	0.638785	+	0.769385i	$0.279437\pi$
$314$	12.3510	−	8.97350i	0.697005	−	0.506404i
$315$	−52.9372	−	53.7733i	−2.98267	−	3.02978i
$316$	6.61142	+	4.80348i	0.371921	+	0.270217i
$317$	−15.7017	+	5.10178i	−0.881894	+	0.286545i	−0.714743	−	0.699387i	$-0.753457\pi$
$317$	−15.7017	+	5.10178i	−0.881894	+	0.286545i	−0.167150	+	0.985931i	$0.553457\pi$
$318$			9.17575i			0.514550i
$319$	1.83996	+	5.66282i	0.103018	+	0.317057i
$320$	0.999512	+	2.00024i	0.0558744	+	0.111817i
$321$	−13.6342	+	41.9618i	−0.760987	+	2.34208i
$322$	−21.6157	−	7.02338i	−1.20460	−	0.391397i
$323$	0.747037	+	1.02821i	0.0415663	+	0.0572111i
$324$	−26.0881			−1.44934
$325$	18.9145	−	13.2944i	1.04919	−	0.737442i
$326$	−15.3691			−0.851218
$327$	0.465726	+	0.641017i	0.0257547	+	0.0354483i
$328$	−0.00885852	−	0.00287831i	−0.000489130	−	0.000158928i
$329$	−3.86536	+	11.8964i	−0.213104	+	0.655868i
$330$	26.6703	−	26.2556i	1.46815	−	1.44532i
$331$	1.88110	+	5.78943i	0.103395	+	0.318216i	0.989350	−	0.145554i	$-0.0464964\pi$
$331$	1.88110	+	5.78943i	0.103395	+	0.318216i	−0.885956	+	0.463770i	$0.846496\pi$
$332$		−	2.19120i		−	0.120258i
$333$	−47.7260	+	15.5071i	−2.61537	+	0.849785i
$334$	−2.94059	−	2.13647i	−0.160902	−	0.116902i
$335$	2.12210	+	14.1132i	0.115943	+	0.771089i
$336$	−11.6851	+	8.48974i	−0.637475	+	0.463153i
$337$	−9.61066	+	13.2279i	−0.523526	+	0.720572i	−0.986127	−	0.165995i	$-0.946916\pi$
$337$	−9.61066	+	13.2279i	−0.523526	+	0.720572i	0.462601	+	0.886567i	$0.346916\pi$
$338$	4.92567	−	6.77960i	0.267921	−	0.368762i
$339$	−22.1320	+	16.0798i	−1.20204	+	0.873336i
$340$	−2.80334	−	0.466550i	−0.152033	−	0.0253022i
$341$	21.2337	+	15.4272i	1.14987	+	0.835428i
$342$	−7.23800	+	2.35177i	−0.391386	+	0.127169i
$343$		−	25.1036i		−	1.35547i
$344$	2.68189	+	8.25401i	0.144598	+	0.445026i
$345$	36.9193	−	5.55128i	1.98767	−	0.298871i
$346$	2.55902	−	7.87586i	0.137574	−	0.423409i
$347$	18.2440	+	5.92783i	0.979388	+	0.318223i	0.754600	−	0.656185i	$-0.227831\pi$
$347$	18.2440	+	5.92783i	0.979388	+	0.318223i	0.224788	+	0.974408i	$0.427831\pi$
$348$	2.21870	+	3.05378i	0.118935	+	0.163700i
$349$	20.7372			1.11004			0.555019	−	0.831838i	$-0.312711\pi$
$349$	20.7372			1.11004			0.555019	+	0.831838i	$0.312711\pi$
$350$	21.1903	−	6.51985i	1.13267	−	0.348501i
$351$	69.4415			3.70651
$352$	−3.02018	−	4.15692i	−0.160976	−	0.221565i
$353$	−18.3786	−	5.97158i	−0.978196	−	0.317835i	−0.224076	−	0.974572i	$-0.571936\pi$
$353$	−18.3786	−	5.97158i	−0.978196	−	0.317835i	−0.754120	+	0.656737i	$0.771936\pi$
$354$	−10.8085	+	33.2651i	−0.574464	+	1.76802i
$355$	13.4521	+	6.98746i	0.713961	+	0.370856i
$356$	−1.62269	−	4.99414i	−0.0860027	−	0.264689i
$357$		−	18.3569i		−	0.971550i
$358$	−19.6538	+	6.38592i	−1.03874	+	0.337507i
$359$	12.2203	+	8.87855i	0.644962	+	0.468592i	0.861551	−	0.507671i	$-0.169493\pi$
$359$	12.2203	+	8.87855i	0.644962	+	0.468592i	−0.216589	+	0.976263i	$0.569493\pi$
$360$	7.84438	−	15.1018i	0.413435	−	0.795933i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	3.48851	−	4.80152i	0.183352	−	0.252362i
$363$	−29.4882	+	40.5870i	−1.54773	+	2.13027i
$364$	16.5871	−	12.0512i	0.869399	−	0.631655i
$365$	−1.25522	+	0.627228i	−0.0657013	+	0.0328306i
$366$	39.3772	+	28.6092i	2.05828	+	1.49543i
$367$	−18.8200	+	6.11500i	−0.982397	+	0.319200i	−0.755810	−	0.654791i	$-0.772757\pi$
$367$	−18.8200	+	6.11500i	−0.982397	+	0.319200i	−0.226587	+	0.973991i	$0.572757\pi$
$368$		−	5.12573i		−	0.267197i
$369$	0.0219053	+	0.0674176i	0.00114035	+	0.00350962i
$370$	2.42053	−	14.5442i	0.125837	−	0.756115i
$371$	3.85979	−	11.8792i	0.200390	−	0.616738i
$372$	15.8244	+	5.14166i	0.820457	+	0.266583i
$373$	−8.75122	−	12.0450i	−0.453121	−	0.623667i	0.519944	−	0.854201i	$-0.325953\pi$
$373$	−8.75122	−	12.0450i	−0.453121	−	0.623667i	−0.973064	+	0.230533i	$0.925953\pi$
$374$	6.53037			0.337677
$375$	−26.3500	+	25.1394i	−1.36071	+	1.29819i
$376$	−2.82098			−0.145481
$377$	−3.14945	−	4.33485i	−0.162205	−	0.223256i
$378$	63.3328	+	20.5781i	3.25749	+	1.05842i
$379$	−4.13615	+	12.7298i	−0.212460	+	0.653884i	0.786864	+	0.617126i	$0.211703\pi$
$379$	−4.13615	+	12.7298i	−0.212460	+	0.653884i	−0.999324	+	0.0367580i	$0.988297\pi$
$380$	0.367092	−	2.20573i	0.0188314	−	0.113152i
$381$	−4.37697	−	13.4709i	−0.224239	−	0.690137i
$382$			15.2191i			0.778677i
$383$	−10.2580	+	3.33301i	−0.524157	+	0.170309i	−0.559131	−	0.829079i	$-0.688865\pi$
$383$	−10.2580	+	3.33301i	−0.524157	+	0.170309i	0.0349741	+	0.999388i	$0.488865\pi$
$384$	−2.63527	−	1.91464i	−0.134481	−	0.0977059i
$385$	−45.5727	+	22.7724i	−2.32260	+	1.16059i
$386$	13.7132	−	9.96323i	0.697984	−	0.507115i
$387$	38.8231	−	53.4354i	1.97349	−	2.71627i
$388$	−4.77033	+	6.56580i	−0.242177	+	0.333328i
$389$	31.7847	−	23.0929i	1.61155	−	1.17086i	0.753189	−	0.657804i	$-0.228515\pi$
$389$	31.7847	−	23.0929i	1.61155	−	1.17086i	0.858357	−	0.513053i	$-0.171485\pi$
$390$	−15.5245	+	29.8873i	−0.786115	+	1.51340i
$391$	5.27032	+	3.82911i	0.266532	+	0.193647i
$392$	12.0418	−	3.91260i	0.608201	−	0.197616i
$393$		−	51.2411i		−	2.58477i
$394$	−3.15055	−	9.69639i	−0.158722	−	0.488497i
$395$	16.2163	+	8.42332i	0.815932	+	0.423823i
$396$	−12.0839	+	37.1906i	−0.607241	+	1.86890i
$397$	23.4402	+	7.61620i	1.17643	+	0.382246i	0.831040	−	0.556213i	$-0.187746\pi$
$397$	23.4402	+	7.61620i	1.17643	+	0.382246i	0.345392	+	0.938458i	$0.387746\pi$
$398$	−6.56863	−	9.04094i	−0.329256	−	0.453181i
$399$	14.4436			0.723084
$400$	2.87518	+	4.09064i	0.143759	+	0.204532i
$401$	20.3654			1.01700			0.508499	−	0.861062i	$-0.330200\pi$
$401$	20.3654			1.01700			0.508499	+	0.861062i	$0.330200\pi$
$402$	−12.2203	−	16.8198i	−0.609495	−	0.838898i
$403$	−22.4628	−	7.29861i	−1.11895	−	0.363570i
$404$	−1.80868	+	5.56656i	−0.0899854	+	0.276946i
$405$	−57.6862	+	8.67384i	−2.86645	+	0.431006i
$406$	−1.58782	−	4.88682i	−0.0788024	−	0.242529i
$407$			33.8805i			1.67940i
$408$	3.93729	−	1.27930i	0.194925	−	0.0633350i
$409$	24.9539	+	18.1301i	1.23389	+	0.896475i	0.997176	−	0.0751042i	$-0.0239290\pi$
$409$	24.9539	+	18.1301i	1.23389	+	0.896475i	0.236716	+	0.971579i	$0.423929\pi$
$410$	−0.0205450	−	0.00341924i	−0.00101465	−	0.000168864i
$411$	46.2365	−	33.5928i	2.28068	−	1.65701i
$412$	−1.30277	+	1.79310i	−0.0641826	+	0.0883398i
$413$	27.9860	−	38.5194i	1.37710	−	1.89542i
$414$	−31.5592	+	22.9291i	−1.55105	+	1.12690i
$415$	−0.728536	−	4.84520i	−0.0357624	−	0.237842i
$416$	3.74078	+	2.71783i	0.183407	+	0.133253i
$417$	−66.2112	+	21.5133i	−3.24238	+	1.05351i
$418$			5.13823i			0.251319i
$419$	−12.0664	−	37.1364i	−0.589480	−	1.81423i	−0.580482	−	0.814273i	$-0.697136\pi$
$419$	−12.0664	−	37.1364i	−0.589480	−	1.81423i	−0.00899735	−	0.999960i	$-0.502864\pi$
$420$	−23.0156	+	22.6577i	−1.12304	+	1.10558i
$421$	−5.91499	+	18.2045i	−0.288279	+	0.887232i	0.697118	+	0.716957i	$0.254466\pi$
$421$	−5.91499	+	18.2045i	−0.288279	+	0.887232i	−0.985397	+	0.170275i	$0.945534\pi$
$422$	2.34134	+	0.760746i	0.113974	+	0.0370325i
$423$	12.6192	+	17.3688i	0.613566	+	0.844501i
$424$	2.81692			0.136802
$425$	−6.35390	−	0.0995773i	−0.308209	−	0.00483021i
$426$	−22.0821			−1.06988
$427$	−38.9445	−	53.6025i	−1.88466	−	2.59401i
$428$	12.8821	+	4.18564i	0.622679	+	0.202321i
$429$	23.9149	−	73.6024i	1.15462	−	3.55356i
$430$	8.67455	+	17.3597i	0.418324	+	0.837158i
$431$	1.53316	+	4.71858i	0.0738496	+	0.227286i	0.981167	−	0.193160i	$-0.0618737\pi$
$431$	1.53316	+	4.71858i	0.0738496	+	0.227286i	−0.907318	+	0.420446i	$0.861874\pi$
$432$			15.0181i			0.722558i
$433$	21.6443	−	7.03267i	1.04016	−	0.337969i	0.261361	−	0.965241i	$-0.415829\pi$
$433$	21.6443	−	7.03267i	1.04016	−	0.337969i	0.778800	+	0.627273i	$0.215829\pi$
$434$	−18.3239	−	13.3131i	−0.879577	−	0.639050i
$435$	5.92134	+	6.01487i	0.283907	+	0.288391i
$436$	0.196789	−	0.142976i	0.00942450	−	0.00684730i
$437$	−3.01283	+	4.14680i	−0.144123	+	0.198369i
$438$	1.20150	−	1.65372i	0.0574099	−	0.0790179i
$439$	−0.379024	+	0.275377i	−0.0180898	+	0.0131430i	−0.596793	−	0.802395i	$-0.703559\pi$
$439$	−0.379024	+	0.275377i	−0.0180898	+	0.0131430i	0.578704	+	0.815538i	$0.303559\pi$
$440$	−8.06036	−	8.18767i	−0.384262	−	0.390332i
$441$	−77.9567	−	56.6389i	−3.71223	−	2.69709i
$442$	−5.58900	+	1.81598i	−0.265842	+	0.0863772i
$443$		−	14.3645i		−	0.682480i	−0.939976	−	0.341240i	$-0.889153\pi$
$443$		−	14.3645i		−	0.682480i	0.939976	−	0.341240i	$-0.110847\pi$
$444$	6.63722	+	20.4273i	0.314989	+	0.969435i
$445$	−5.24859	−	10.5036i	−0.248807	−	0.497918i
$446$	5.01465	−	15.4335i	0.237451	−	0.730798i
$447$	−59.1005	−	19.2029i	−2.79536	−	0.908266i
$448$	2.60631	+	3.58728i	0.123137	+	0.169483i
$449$	20.5008			0.967492			0.483746	−	0.875209i	$-0.339276\pi$
$449$	20.5008			0.967492			0.483746	+	0.875209i	$0.339276\pi$
$450$	12.3245	−	36.0013i	0.580983	−	1.69712i
$451$	0.0478595			0.00225362
$452$	4.93643	+	6.79442i	0.232190	+	0.319583i
$453$	27.9815	+	9.09173i	1.31468	+	0.427167i
$454$	−3.75752	+	11.5645i	−0.176349	+	0.542747i
$455$	32.6707	−	32.1627i	1.53163	−	1.50781i
$456$	1.00658	+	3.09795i	0.0471376	+	0.145075i
$457$		−	0.0441538i		−	0.00206543i	−0.999999	−	0.00103271i	$-0.999671\pi$
$457$		−	0.0441538i		−	0.00206543i	0.999999	−	0.00103271i	$-0.000328723\pi$
$458$	−2.96229	+	0.962507i	−0.138419	+	0.0449750i
$459$	−15.4417	−	11.2191i	−0.720758	−	0.523661i
$460$	−1.70422	−	11.3341i	−0.0794596	−	0.528454i
$461$	−28.2856	+	20.5507i	−1.31739	+	0.957141i	−0.317431	+	0.948281i	$0.602820\pi$
$461$	−28.2856	+	20.5507i	−1.31739	+	0.957141i	−0.999961	+	0.00885999i	$0.997180\pi$
$462$	43.6222	−	60.0409i	2.02949	−	2.79335i
$463$	18.8735	−	25.9772i	0.877128	−	1.20726i	−0.100080	−	0.994979i	$-0.531910\pi$
$463$	18.8735	−	25.9772i	0.877128	−	1.20726i	0.977208	−	0.212284i	$-0.0680901\pi$
$464$	0.937497	−	0.681131i	0.0435222	−	0.0316207i
$465$	36.7006	+	6.10795i	1.70195	+	0.283249i
$466$	−1.25382	−	0.910952i	−0.0580820	−	0.0421990i
$467$	28.9707	−	9.41315i	1.34060	−	0.435589i	0.451082	−	0.892482i	$-0.351038\pi$
$467$	28.9707	−	9.41315i	1.34060	−	0.435589i	0.889521	+	0.456894i	$0.151038\pi$
$468$		−	35.1898i		−	1.62665i
$469$	8.74554	+	26.9160i	0.403832	+	1.24287i
$470$	−6.23779	+	0.937929i	−0.287728	+	0.0432634i
$471$	−15.3671	+	47.2952i	−0.708080	+	2.17925i
$472$	10.2122	+	3.31816i	0.470056	+	0.152731i
$473$	−26.2115	−	36.0770i	−1.20520	−	1.65882i
$474$	−26.6198			−1.22269
$475$	0.0783495	−	4.99939i	0.00359492	−	0.229388i
$476$	−5.63549			−0.258302
$477$	−12.6010	−	17.3438i	−0.576960	−	0.794118i
$478$	−8.24908	−	2.68029i	−0.377304	−	0.122593i
$479$	1.92571	−	5.92674i	0.0879881	−	0.270800i	−0.897375	−	0.441269i	$-0.854528\pi$
$479$	1.92571	−	5.92674i	0.0879881	−	0.270800i	0.985363	+	0.170469i	$0.0545284\pi$
$480$	−6.46373	−	3.35748i	−0.295027	−	0.153247i
$481$	−9.42156	−	28.9966i	−0.429586	−	1.32213i
$482$			29.9970i			1.36633i
$483$	70.4105	−	22.8778i	3.20379	−	1.04097i
$484$	12.4600	+	9.05275i	0.566365	+	0.411488i
$485$	−8.36519	+	16.1044i	−0.379844	+	0.731264i
$486$	32.2995	−	23.4669i	1.46513	−	1.06448i
$487$	0.343058	−	0.472179i	0.0155454	−	0.0213965i	−0.801174	−	0.598432i	$-0.795791\pi$
$487$	0.343058	−	0.472179i	0.0155454	−	0.0213965i	0.816719	+	0.577036i	$0.195791\pi$
$488$	8.78290	−	12.0886i	0.397583	−	0.547227i
$489$	40.5019	−	29.4263i	1.83156	−	1.33070i
$490$	25.3260	−	12.6553i	1.14411	−	0.571707i
$491$	0.418271	+	0.303892i	0.0188763	+	0.0137144i	0.597183	−	0.802105i	$-0.296286\pi$
$491$	0.418271	+	0.303892i	0.0188763	+	0.0137144i	−0.578307	+	0.815819i	$0.696286\pi$
$492$	0.0288555	−	0.00937572i	0.00130091	−	0.000422690i
$493$			1.47277i			0.0663304i
$494$	−1.42885	−	4.39755i	−0.0642870	−	0.197855i
$495$	−14.3549	+	86.2539i	−0.645206	+	3.87682i
$496$	1.57847	−	4.85802i	0.0708753	−	0.218132i
$497$	28.5883	+	9.28889i	1.28236	+	0.416663i
$498$	4.19535	+	5.77440i	0.187998	+	0.258757i
$499$	−6.97844			−0.312398			−0.156199	−	0.987726i	$-0.549924\pi$
$499$	−6.97844			−0.312398			−0.156199	+	0.987726i	$0.549924\pi$
$500$	7.71770	+	8.08932i	0.345146	+	0.361766i
$501$	11.8398			0.528964
$502$	−4.15555	−	5.71962i	−0.185471	−	0.255279i
$503$	37.1964	+	12.0858i	1.65850	+	0.538881i	0.980558	−	0.196230i	$-0.0628700\pi$
$503$	37.1964	+	12.0858i	1.65850	+	0.538881i	0.677947	+	0.735111i	$0.262870\pi$
$504$	10.4280	−	32.0942i	0.464502	−	1.42959i
$505$	−2.14860	+	12.9102i	−0.0956113	+	0.574496i
$506$	8.13864	+	25.0482i	0.361807	+	1.11353i
$507$			27.2970i			1.21230i
$508$	−4.13552	+	1.34371i	−0.183484	+	0.0596176i
$509$	−15.5480	−	11.2963i	−0.689153	−	0.500699i	0.187229	−	0.982316i	$-0.440049\pi$
$509$	−15.5480	−	11.2963i	−0.689153	−	0.500699i	−0.876381	+	0.481618i	$0.840049\pi$
$510$	8.28084	−	4.13789i	0.366682	−	0.183229i
$511$	−2.25114	+	1.63555i	−0.0995846	+	0.0723525i
$512$	−0.587785	+	0.809017i	−0.0259767	+	0.0357538i
$513$	8.82741	−	12.1499i	0.389740	−	0.536431i
$514$	−17.4836	+	12.7026i	−0.771168	+	0.560287i
$515$	−2.28451	+	4.39808i	−0.100668	+	0.193802i
$516$	−22.8709	−	16.6167i	−1.00684	−	0.731510i
$517$	13.7854	−	4.47916i	0.606283	−	0.196993i
$518$		−	29.2378i		−	1.28463i
$519$	8.33569	+	25.6546i	0.365896	+	1.12611i
$520$	9.17528	+	4.76596i	0.402363	+	0.209001i
$521$	11.3223	−	34.8465i	0.496039	−	1.52665i	−0.319292	−	0.947657i	$-0.603445\pi$
$521$	11.3223	−	34.8465i	0.496039	−	1.52665i	0.815331	−	0.578995i	$-0.196555\pi$
$522$	−8.38747	−	2.72525i	−0.367110	−	0.119281i
$523$	3.95790	+	5.44758i	0.173067	+	0.238206i	0.886735	−	0.462278i	$-0.152968\pi$
$523$	3.95790	+	5.44758i	0.173067	+	0.238206i	−0.713668	+	0.700484i	$0.752968\pi$
$524$	−15.7308			−0.687203
$525$	−43.3590	+	57.7533i	−1.89234	+	2.52056i
$526$	−12.1694			−0.530612
$527$	3.81589	+	5.25212i	0.166223	+	0.228786i
$528$	15.9180	+	5.17206i	0.692741	+	0.225085i
$529$	−1.01145	+	3.11292i	−0.0439760	+	0.135344i
$530$	6.22880	−	0.936577i	0.270562	−	0.0406823i
$531$	−25.2528	−	77.7201i	−1.09588	−	3.37277i
$532$		−	4.43412i		−	0.192244i
$533$	−0.0409605	+	0.0133089i	−0.00177420	+	0.000576471i
$534$	13.8382	+	10.0540i	0.598838	+	0.435081i
$535$	29.8767	+	4.97226i	1.29168	+	0.214970i
$536$	−5.16362	+	3.75159i	−0.223034	+	0.162044i
$537$	39.5665	−	54.4586i	1.70742	−	2.35006i
$538$	−1.53570	+	2.11371i	−0.0662089	+	0.0911287i
$539$	−52.6326	+	38.2398i	−2.26705	+	1.64711i
$540$	4.99326	+	33.2082i	0.214876	+	1.42905i
$541$	−16.6365	−	12.0871i	−0.715259	−	0.519666i	0.169607	−	0.985512i	$-0.445750\pi$
$541$	−16.6365	−	12.0871i	−0.715259	−	0.519666i	−0.884866	+	0.465845i	$0.845750\pi$
$542$	−9.45362	+	3.07167i	−0.406068	+	0.131939i
$543$			19.3325i			0.829638i
$544$	−0.392741	−	1.20873i	−0.0168386	−	0.0518240i
$545$	0.387606	−	0.381579i	0.0166032	−	0.0163450i
$546$	−20.6377	+	63.5164i	−0.883214	+	2.71825i
$547$	25.8069	+	8.38518i	1.10342	+	0.358524i	0.803419	−	0.595413i	$-0.203012\pi$
$547$	25.8069	+	8.38518i	1.10342	+	0.358524i	0.300005	+	0.953938i	$0.403012\pi$
$548$	−10.3128	−	14.1944i	−0.440542	−	0.606354i
$549$	−113.719			−4.85340
$550$	−20.5454	−	15.4247i	−0.876059	−	0.657713i
$551$	−1.15881			−0.0493670
$552$	9.81391	+	13.5077i	0.417708	+	0.574925i
$553$	34.4629	+	11.1977i	1.46551	+	0.476173i
$554$	−1.72801	+	5.31826i	−0.0734160	+	0.225951i
$555$	21.4680	+	42.9622i	0.911267	+	1.82365i
$556$	6.60450	+	20.3266i	0.280093	+	0.862038i
$557$			31.3092i			1.32661i	0.748348	+	0.663306i	$0.230847\pi$
$557$			31.3092i			1.32661i	−0.748348	+	0.663306i	$0.769153\pi$
$558$	−36.9719	+	12.0129i	−1.56515	+	0.508547i
$559$	32.4654	+	23.5875i	1.37314	+	0.997645i
$560$	6.95582	+	7.06568i	0.293937	+	0.298580i
$561$	−17.2093	+	12.5033i	−0.726577	+	0.527889i
$562$	−4.95242	+	6.81642i	−0.208905	+	0.287534i
$563$	−10.6385	+	14.6426i	−0.448358	+	0.617112i	−0.972044	−	0.234800i	$-0.924557\pi$
$563$	−10.6385	+	14.6426i	−0.448358	+	0.617112i	0.523686	+	0.851912i	$0.324557\pi$
$564$	7.43405	−	5.40115i	0.313030	−	0.227430i
$565$	13.1745	+	13.3826i	0.554257	+	0.563011i
$566$	7.47861	+	5.43353i	0.314349	+	0.228388i
$567$	−110.016	+	35.7464i	−4.62024	+	1.50121i
$568$			6.77912i			0.284446i
$569$	12.2701	+	37.7634i	0.514388	+	1.58312i	0.784394	+	0.620264i	$0.212974\pi$
$569$	12.2701	+	37.7634i	0.514388	+	1.58312i	−0.270006	+	0.962859i	$0.587026\pi$
$570$	3.25578	+	6.51554i	0.136370	+	0.272906i
$571$	6.11205	−	18.8110i	0.255781	−	0.787214i	−0.737893	−	0.674917i	$-0.764179\pi$
$571$	6.11205	−	18.8110i	0.255781	−	0.787214i	0.993675	−	0.112297i	$-0.0358207\pi$
$572$	−22.5956	−	7.34177i	−0.944771	−	0.306975i
$573$	−29.1390	−	40.1064i	−1.21730	−	1.67547i
$574$	−0.0413012			−0.00172388
$575$	−7.53677	−	24.4954i	−0.314305	−	1.02153i
$576$	7.61049			0.317104
$577$	9.62162	+	13.2430i	0.400553	+	0.551314i	0.960883	−	0.276955i	$-0.0893255\pi$
$577$	9.62162	+	13.2430i	0.400553	+	0.551314i	−0.560329	+	0.828270i	$0.689325\pi$
$578$	−14.6317	−	4.75414i	−0.608600	−	0.197746i
$579$	−17.0621	+	52.5116i	−0.709075	+	2.18231i
$580$	1.84654	−	1.81783i	0.0766734	−	0.0754812i
$581$	−3.00242	−	9.24050i	−0.124561	−	0.383361i
$582$		−	26.4361i		−	1.09581i
$583$	−13.7656	+	4.47270i	−0.570111	+	0.185240i
$584$	−0.507686	−	0.368855i	−0.0210082	−	0.0152633i
$585$	−11.7000	−	77.8121i	−0.483736	−	3.21713i
$586$	−15.3157	+	11.1275i	−0.632685	+	0.459672i
$587$	−26.3198	+	36.2261i	−1.08634	+	1.49521i	−0.233987	+	0.972240i	$0.575177\pi$
$587$	−26.3198	+	36.2261i	−1.08634	+	1.49521i	−0.852349	+	0.522973i	$0.824823\pi$
$588$	−24.2421	+	33.3664i	−0.999727	+	1.37601i
$589$	−4.13248	+	3.00242i	−0.170276	+	0.123713i
$590$	23.6846	+	3.94175i	0.975081	+	0.162279i
$591$	26.8676	+	19.5205i	1.10519	+	0.802964i
$592$	6.27108	−	2.03760i	0.257740	−	0.0837448i
$593$		−	22.8626i		−	0.938856i	−0.882971	−	0.469428i	$-0.844460\pi$
$593$		−	22.8626i		−	0.938856i	0.882971	−	0.469428i	$-0.155540\pi$
$594$	−23.8457	−	73.3896i	−0.978403	−	3.01121i
$595$	−12.4613	+	1.87370i	−0.510862	+	0.0768144i
$596$	−5.89521	+	18.1436i	−0.241477	+	0.743190i
$597$	34.6202	+	11.2488i	1.41691	+	0.460382i
$598$	−13.9309	−	19.1742i	−0.569676	−	0.784092i
$599$	38.1137			1.55728			0.778642	−	0.627469i	$-0.215909\pi$
$599$	38.1137			1.55728			0.778642	+	0.627469i	$0.215909\pi$
$600$	−15.4090	−	5.27502i	−0.629068	−	0.215352i
$601$	−44.4147			−1.81171			−0.905856	−	0.423585i	$-0.860771\pi$
$601$	−44.4147			−1.81171			−0.905856	+	0.423585i	$0.860771\pi$
$602$	22.6196	+	31.1332i	0.921907	+	1.26890i
$603$	46.1972	+	15.0104i	1.88129	+	0.611270i
$604$	2.79112	−	8.59019i	0.113569	−	0.349530i
$605$	30.5617	+	15.8748i	1.24251	+	0.645402i
$606$	−5.89156	−	18.1324i	−0.239328	−	0.736577i
$607$		−	0.0604597i		−	0.00245398i	−0.999999	−	0.00122699i	$-0.999609\pi$
$607$		−	0.0604597i		−	0.00245398i	0.999999	−	0.00122699i	$-0.000390564\pi$
$608$	0.951057	−	0.309017i	0.0385704	−	0.0125323i
$609$	13.5408	+	9.83799i	0.548702	+	0.398656i
$610$	15.4016	−	29.6507i	0.623592	−	1.20052i
$611$	−10.5527	+	7.66696i	−0.426915	+	0.310172i
$612$	−5.68532	+	7.82517i	−0.229815	+	0.316314i
$613$	−14.4936	+	19.9487i	−0.585391	+	0.805722i	−0.994274	−	0.106865i	$-0.965919\pi$
$613$	−14.4936	+	19.9487i	−0.585391	+	0.805722i	0.408882	+	0.912587i	$0.365919\pi$
$614$	24.3644	−	17.7018i	0.983267	−	0.714385i
$615$	0.0606883	−	0.0303257i	0.00244719	−	0.00122285i
$616$	−18.4323	−	13.3918i	−0.742658	−	0.539573i
$617$	10.6577	−	3.46289i	0.429062	−	0.139411i	−0.0865215	−	0.996250i	$-0.527575\pi$
$617$	10.6577	−	3.46289i	0.429062	−	0.139411i	0.515584	+	0.856839i	$0.327575\pi$
$618$		−	7.21963i		−	0.290416i
$619$	−8.98524	−	27.6537i	−0.361147	−	1.11150i	−0.952359	−	0.304980i	$-0.901350\pi$
$619$	−8.98524	−	27.6537i	−0.361147	−	1.11150i	0.591212	−	0.806516i	$-0.298650\pi$
$620$	1.87512	−	11.2669i	0.0753064	−	0.452491i
$621$	23.7877	−	73.2111i	0.954568	−	2.93786i
$622$	−7.00151	−	2.27493i	−0.280735	−	0.0912163i
$623$	−13.6861	−	18.8374i	−0.548324	−	0.754703i
$624$	−15.0616			−0.602948
$625$	19.7550	+	15.3212i	0.790201	+	0.612848i
$626$	−8.73893			−0.349278
$627$	−9.83785	−	13.5406i	−0.392886	−	0.540761i
$628$	14.5194	+	4.71765i	0.579388	+	0.188255i
$629$	−2.58966	+	7.97015i	−0.103256	+	0.317791i
$630$	12.3878	−	74.4342i	0.493543	−	2.96553i
$631$	−4.30665	−	13.2545i	−0.171445	−	0.527654i	0.828008	−	0.560716i	$-0.189474\pi$
$631$	−4.30665	−	13.2545i	−0.171445	−	0.527654i	−0.999453	+	0.0330622i	$0.989474\pi$
$632$			8.17217i			0.325071i
$633$	−7.62661	+	2.47803i	−0.303130	+	0.0984930i
$634$	−13.3566	−	9.70417i	−0.530460	−	0.385402i
$635$	−8.69775	+	4.34622i	−0.345160	+	0.172475i
$636$	−7.42334	+	5.39337i	−0.294354	+	0.213861i
$637$	34.4117	−	47.3637i	1.36344	−	1.87662i
$638$	−3.49981	+	4.81708i	−0.138559	+	0.190710i
$639$	41.7391	−	30.3253i	1.65118	−	1.19965i
$640$	−1.03073	+	1.98434i	−0.0407433	+	0.0784378i
$641$	27.1594	+	19.7325i	1.07273	+	0.779385i	0.976401	−	0.215964i	$-0.0692895\pi$
$641$	27.1594	+	19.7325i	1.07273	+	0.779385i	0.0963303	+	0.995349i	$0.469290\pi$
$642$	−41.9618	+	13.6342i	−1.65610	+	0.538099i
$643$			5.31225i			0.209495i	0.994499	+	0.104747i	$0.0334034\pi$
$643$			5.31225i			0.209495i	−0.994499	+	0.104747i	$0.966597\pi$
$644$	−7.02338	−	21.6157i	−0.276760	−	0.851779i
$645$	−56.0973	−	29.1389i	−2.20883	−	1.14734i
$646$	−0.392741	+	1.20873i	−0.0154522	+	0.0475569i
$647$	−0.387892	−	0.126034i	−0.0152496	−	0.00495489i	0.301382	−	0.953503i	$-0.402552\pi$
$647$	−0.387892	−	0.126034i	−0.0152496	−	0.00495489i	−0.316632	+	0.948549i	$0.602552\pi$
$648$	−15.3342	−	21.1057i	−0.602383	−	0.829110i
$649$	−55.1732			−2.16574
$650$	21.8731	+	7.48792i	0.857933	+	0.293700i
$651$	73.7783			2.89160
$652$	−9.03376	−	12.4339i	−0.353789	−	0.486949i
$653$	4.66261	+	1.51497i	0.182462	+	0.0592854i	0.398823	−	0.917028i	$-0.369419\pi$
$653$	4.66261	+	1.51497i	0.182462	+	0.0592854i	−0.216361	+	0.976313i	$0.569419\pi$
$654$	−0.244847	+	0.753560i	−0.00957426	+	0.0294665i
$655$	−34.7841	+	5.23022i	−1.35913	+	0.204362i
$656$	−0.00287831	−	0.00885852i	−0.000112379	−	0.000345867i
$657$			4.77584i			0.186323i
$658$	−11.8964	+	3.86536i	−0.463769	+	0.150688i
$659$	−3.75891	−	2.73101i	−0.146426	−	0.106385i	0.512160	−	0.858890i	$-0.328845\pi$
$659$	−3.75891	−	2.73101i	−0.146426	−	0.106385i	−0.658587	+	0.752505i	$0.728845\pi$
$660$	36.9176	+	6.14407i	1.43702	+	0.239158i
$661$	−17.5711	+	12.7661i	−0.683435	+	0.496545i	−0.874496	−	0.485034i	$-0.838807\pi$
$661$	−17.5711	+	12.7661i	−0.683435	+	0.496545i	0.191060	+	0.981578i	$0.438807\pi$
$662$	−3.57807	+	4.92479i	−0.139065	+	0.191407i
$663$	11.2516	−	15.4865i	0.436976	−	0.601446i
$664$	1.77272	−	1.28795i	0.0687947	−	0.0499823i
$665$	−1.47427	−	9.80478i	−0.0571698	−	0.380213i
$666$	−40.5982	−	29.4963i	−1.57315	−	1.14296i
$667$	−5.64904	+	1.83548i	−0.218732	+	0.0710702i
$668$		−	3.63478i		−	0.140634i
$669$	16.3346	+	50.2727i	0.631532	+	1.94366i
$670$	−10.1705	+	10.0124i	−0.392921	+	0.386812i
$671$	−23.7255	+	73.0196i	−0.915914	+	2.81889i
$672$	−13.7367	−	4.46332i	−0.529904	−	0.172176i
$673$	−11.6910	−	16.0913i	−0.450657	−	0.620276i	0.521882	−	0.853018i	$-0.325230\pi$
$673$	−11.6910	−	16.0913i	−0.450657	−	0.620276i	−0.972539	+	0.232742i	$0.925230\pi$
$674$	−16.3506			−0.629803
$675$	22.0823	+	71.7701i	0.849948	+	2.76243i
$676$	8.38005			0.322310
$677$	11.0484	+	15.2068i	0.424624	+	0.584445i	0.966709	−	0.255879i	$-0.0823648\pi$
$677$	11.0484	+	15.2068i	0.424624	+	0.584445i	−0.542085	+	0.840324i	$0.682365\pi$
$678$	−26.0177	−	8.45366i	−0.999203	−	0.324661i
$679$	−11.1204	+	34.2250i	−0.426761	+	1.31344i
$680$	−1.27032	−	2.54218i	−0.0487144	−	0.0974882i
$681$	−12.2396	−	37.6697i	−0.469024	−	1.44351i
$682$			26.2463i			1.00502i
$683$	−4.91839	+	1.59808i	−0.188197	+	0.0611489i	−0.401599	−	0.915815i	$-0.631546\pi$
$683$	−4.91839	+	1.59808i	−0.188197	+	0.0611489i	0.213402	+	0.976964i	$0.431546\pi$
$684$	−6.15701	−	4.47333i	−0.235419	−	0.171042i
$685$	−27.5232	−	27.9580i	−1.05161	−	1.06822i
$686$	20.3092	−	14.7555i	0.775410	−	0.563368i
$687$	5.96359	−	8.20818i	0.227525	−	0.313162i
$688$	−5.10126	+	7.02128i	−0.194484	+	0.267684i
$689$	10.5375	−	7.65591i	0.401445	−	0.291667i
$690$	26.1917	+	26.6054i	0.997101	+	1.01285i
$691$	−1.06277	−	0.772151i	−0.0404298	−	0.0293740i	0.567387	−	0.823451i	$-0.307954\pi$
$691$	−1.06277	−	0.772151i	−0.0404298	−	0.0293740i	−0.607817	+	0.794077i	$0.707954\pi$
$692$	7.87586	−	2.55902i	0.299395	−	0.0972794i
$693$			173.394i			6.58670i
$694$	5.92783	+	18.2440i	0.225017	+	0.692532i
$695$	21.3622	+	42.7504i	0.810313	+	1.62162i
$696$	−1.16644	+	3.58993i	−0.0442138	+	0.136076i
$697$	0.0112586	+	0.00365814i	0.000426450	+	0.000138562i
$698$	12.1890	+	16.7768i	0.461361	+	0.635010i
$699$	5.04829			0.190944
$700$	17.7300	+	13.3110i	0.670131	+	0.503109i
$701$	−3.36332			−0.127031			−0.0635154	−	0.997981i	$-0.520231\pi$
$701$	−3.36332			−0.127031			−0.0635154	+	0.997981i	$0.520231\pi$
$702$	40.8167	+	56.1793i	1.54053	+	2.12035i
$703$	−6.27108	−	2.03760i	−0.236518	−	0.0768495i
$704$	1.58780	−	4.88675i	0.0598425	−	0.184176i
$705$	14.6425	−	14.4148i	0.551467	−	0.542892i
$706$	−5.97158	−	18.3786i	−0.224743	−	0.691689i
$707$			25.9530i			0.976064i
$708$	−33.2651	+	10.8085i	−1.25018	+	0.406208i
$709$	20.8024	+	15.1138i	0.781251	+	0.567612i	0.905354	−	0.424657i	$-0.139605\pi$
$709$	20.8024	+	15.1138i	0.781251	+	0.567612i	−0.124103	+	0.992269i	$0.539605\pi$
$710$	2.25394	+	14.9901i	0.0845890	+	0.562567i
$711$	50.3161	−	36.5568i	1.88700	−	1.37099i
$712$	3.08655	−	4.24827i	0.115673	−	0.159211i
$713$	−15.3896	+	21.1820i	−0.576346	+	0.793272i
$714$	14.8510	−	10.7899i	0.555786	−	0.403802i
$715$	−52.4047	−	8.72153i	−1.95983	−	0.326167i
$716$	−16.7186	−	12.1467i	−0.624802	−	0.453945i
$717$	26.8703	−	8.73070i	1.00349	−	0.326054i
$718$			15.1051i			0.563717i
$719$	−4.87810	−	15.0132i	−0.181922	−	0.559900i	0.817959	−	0.575276i	$-0.195105\pi$
$719$	−4.87810	−	15.0132i	−0.181922	−	0.559900i	−0.999882	+	0.0153763i	$0.995105\pi$
$720$	16.8284	−	2.53036i	0.627157	−	0.0943009i
$721$	−3.03695	+	9.34677i	−0.113102	+	0.348092i
$722$	−0.951057	−	0.309017i	−0.0353947	−	0.0115004i
$723$	−57.4333	−	79.0502i	−2.13597	−	2.93991i
$724$	5.93500			0.220573
$725$	3.47869	−	4.63354i	0.129195	−	0.172085i
$726$	−50.1683			−1.86192
$727$	−28.0462	−	38.6023i	−1.04018	−	1.43168i	−0.897024	−	0.441981i	$-0.854276\pi$
$727$	−28.0462	−	38.6023i	−1.04018	−	1.43168i	−0.143153	−	0.989701i	$-0.545724\pi$
$728$	19.4993	+	6.33570i	0.722691	+	0.234817i
$729$	−16.0022	+	49.2498i	−0.592675	+	1.82407i
$730$	−1.24524	−	0.646820i	−0.0460884	−	0.0239399i
$731$	−3.40851	−	10.4903i	−0.126068	−	0.387999i
$732$			48.6729i			1.79900i
$733$	−6.20793	+	2.01708i	−0.229295	+	0.0745025i	−0.421411	−	0.906870i	$-0.638465\pi$
$733$	−6.20793	+	2.01708i	−0.229295	+	0.0745025i	0.192116	+	0.981372i	$0.438465\pi$
$734$	−16.0093	−	11.6314i	−0.590913	−	0.429323i
$735$	−42.5106	+	81.8402i	−1.56803	+	3.01872i
$736$	4.14680	−	3.01283i	0.152853	−	0.111054i
$737$	19.2765	−	26.5319i	0.710061	−	0.977315i
$738$	−0.0416664	+	0.0573489i	−0.00153376	+	0.00211104i
$739$	−24.4874	+	17.7912i	−0.900785	+	0.654459i	−0.938668	−	0.344824i	$-0.887939\pi$
$739$	−24.4874	+	17.7912i	−0.900785	+	0.654459i	0.0378825	+	0.999282i	$0.487939\pi$
$740$	13.1892	−	6.59059i	0.484846	−	0.242275i
$741$	12.1851	+	8.85300i	0.447631	+	0.325223i
$742$	11.8792	−	3.85979i	0.436100	−	0.141697i
$743$		−	0.944298i		−	0.0346429i	−0.999850	−	0.0173215i	$-0.994486\pi$
$743$		−	0.944298i		−	0.0346429i	0.999850	−	0.0173215i	$-0.00551387\pi$
$744$	5.14166	+	15.8244i	0.188502	+	0.580151i
$745$	−7.00312	+	42.0794i	−0.256574	+	1.54167i
$746$	4.60079	−	14.1598i	0.168447	−	0.518426i
$747$	−15.8599	−	5.15319i	−0.580283	−	0.188545i
$748$	3.83845	+	5.28318i	0.140348	+	0.193172i
$749$	60.0603			2.19456
$750$	−35.8263	−	6.54097i	−1.30819	−	0.238843i
$751$	−35.0109			−1.27757			−0.638783	−	0.769387i	$-0.720562\pi$
$751$	−35.0109			−1.27757			−0.638783	+	0.769387i	$0.720562\pi$
$752$	−1.65813	−	2.28222i	−0.0604658	−	0.0832241i
$753$	21.9020	+	7.11639i	0.798153	+	0.259336i
$754$	1.65577	−	5.09592i	0.0602994	−	0.185583i
$755$	3.31567	−	19.9227i	0.120670	−	0.725062i
$756$	20.5781	+	63.3328i	0.748417	+	2.30339i
$757$		−	2.24821i		−	0.0817125i	−0.999165	−	0.0408563i	$-0.986991\pi$
$757$		−	2.24821i		−	0.0817125i	0.999165	−	0.0408563i	$-0.0130086\pi$
$758$	−12.7298	+	4.13615i	−0.462366	+	0.150232i
$759$	−69.4057	−	50.4262i	−2.51927	−	1.83035i
$760$	2.00024	−	0.999512i	0.0725565	−	0.0362561i
$761$	−7.75527	+	5.63454i	−0.281128	+	0.204252i	−0.719409	−	0.694586i	$-0.755587\pi$
$761$	−7.75527	+	5.63454i	−0.281128	+	0.204252i	0.438281	+	0.898838i	$0.355587\pi$
$762$	8.32550	−	11.4591i	0.301601	−	0.415118i
$763$	0.633973	−	0.872589i	0.0229514	−	0.0315898i
$764$	−12.3125	+	8.94556i	−0.445451	+	0.323639i
$765$	−9.96971	+	19.1934i	−0.360455	+	0.693938i
$766$	−8.72594	−	6.33976i	−0.315281	−	0.229065i
$767$	47.2199	−	15.3427i	1.70501	−	0.553992i
$768$		−	3.25737i		−	0.117540i
$769$	1.02758	+	3.16256i	0.0370554	+	0.114045i	0.967873	−	0.251439i	$-0.0809037\pi$
$769$	1.02758	+	3.16256i	0.0370554	+	0.114045i	−0.930818	+	0.365483i	$0.880904\pi$
$770$	−45.2103	−	23.4838i	−1.62926	−	0.846296i
$771$	21.7532	−	66.9495i	0.783422	−	2.41113i
$772$	16.1208	+	5.23798i	0.580202	+	0.188519i
$773$	−3.62456	−	4.98877i	−0.130366	−	0.179434i	0.738844	−	0.673877i	$-0.235372\pi$
$773$	−3.62456	−	4.98877i	−0.130366	−	0.179434i	−0.869210	+	0.494443i	$0.835372\pi$
$774$	66.0498			2.37411
$775$	0.400212	−	25.5370i	0.0143760	−	0.917317i
$776$	−8.11577			−0.291339
$777$	55.9797	+	77.0494i	2.00826	+	2.76413i
$778$	37.3651	+	12.1407i	1.33960	+	0.435264i
$779$	−0.00287831	+	0.00885852i	−0.000103126	+	0.000317389i
$780$	−33.3044	+	5.00774i	−1.19249	+	0.179306i
$781$	−10.7639	−	33.1279i	−0.385163	−	1.18541i
$782$			6.51448i			0.232957i
$783$	16.5513	−	5.37786i	0.591497	−	0.192189i
$784$	10.2433	+	7.44222i	0.365833	+	0.265793i
$785$	33.6740	+	5.60425i	1.20188	+	0.200024i
$786$	41.4549	−	30.1187i	1.47865	−	1.07430i
$787$	−6.89651	+	9.49223i	−0.245834	+	0.338362i	−0.914047	−	0.405609i	$-0.867060\pi$
$787$	−6.89651	+	9.49223i	−0.245834	+	0.338362i	0.668213	+	0.743970i	$0.267060\pi$
$788$	5.99270	−	8.24824i	0.213481	−	0.293831i
$789$	32.0697	−	23.3000i	1.14171	−	0.829503i
$790$	2.71711	+	18.0704i	0.0966703	+	0.642915i
$791$	30.1273	+	21.8888i	1.07120	+	0.778275i
$792$	−37.1906	+	12.0839i	−1.32151	+	0.429384i
$793$		−	69.0914i		−	2.45351i
$794$	7.61620	+	23.4402i	0.270289	+	0.831863i
$795$	−14.6214	+	14.3940i	−0.518566	+	0.510503i
$796$	3.45333	−	10.6283i	0.122400	−	0.376709i
$797$	52.3731	+	17.0170i	1.85515	+	0.602775i	0.995818	+	0.0913551i	$0.0291198\pi$
$797$	52.3731	+	17.0170i	1.85515	+	0.602775i	0.859331	+	0.511420i	$0.170880\pi$
$798$	8.48974	+	11.6851i	0.300533	+	0.413649i
$799$	3.58529			0.126838
$800$	−1.61941	+	4.73049i	−0.0572548	+	0.167248i
$801$	−39.9638			−1.41205
$802$	11.9705	+	16.4759i	0.422692	+	0.581786i
$803$	3.06660	+	0.996400i	0.108218	+	0.0351622i
$804$	6.42461	−	19.7729i	0.226578	−	0.697337i
$805$	−22.7170	−	45.4618i	−0.800670	−	1.60232i
$806$	−7.29861	−	22.4628i	−0.257083	−	0.791219i
$807$		−	8.51052i		−	0.299585i
$808$	−5.56656	+	1.80868i	−0.195831	+	0.0636293i
$809$	−39.6110	−	28.7791i	−1.39265	−	1.01182i	−0.995569	−	0.0940329i	$-0.970024\pi$
$809$	−39.6110	−	28.7791i	−1.39265	−	1.01182i	−0.397078	−	0.917785i	$-0.629976\pi$
$810$	−40.9244	−	41.5708i	−1.43794	−	1.46065i
$811$	−33.8217	+	24.5729i	−1.18764	+	0.862870i	−0.993013	−	0.118007i	$-0.962349\pi$
$811$	−33.8217	+	24.5729i	−1.18764	+	0.862870i	−0.194626	+	0.980877i	$0.562349\pi$
$812$	3.02022	−	4.15698i	0.105989	−	0.145881i
$813$	19.0317	−	26.1949i	0.667472	−	0.918696i
$814$	−27.4099	+	19.9145i	−0.960717	+	0.698002i
$815$	−24.1096	−	24.4904i	−0.844523	−	0.857862i
$816$	3.34926	+	2.43338i	0.117248	+	0.0851854i
$817$	8.25401	−	2.68189i	0.288771	−	0.0938275i
$818$			30.8447i			1.07846i
$819$	−48.2178	−	148.399i	−1.68486	−	5.18548i
$820$	−0.00930985	−	0.0186311i	−0.000325114	−	0.000650625i
$821$	4.71247	−	14.5035i	0.164466	−	0.506176i	−0.834530	−	0.550962i	$-0.814261\pi$
$821$	4.71247	−	14.5035i	0.164466	−	0.506176i	0.998997	+	0.0447866i	$0.0142608\pi$
$822$	54.3542	+	17.6608i	1.89582	+	0.615990i
$823$	8.31283	+	11.4416i	0.289767	+	0.398830i	0.928938	−	0.370234i	$-0.120723\pi$
$823$	8.31283	+	11.4416i	0.289767	+	0.398830i	−0.639171	+	0.769064i	$0.720723\pi$
$824$	−2.21640			−0.0772118
$825$	83.6755	+	1.31135i	2.91321	+	0.0456553i
$826$	47.6127			1.65666
$827$	8.18303	+	11.2630i	0.284552	+	0.391652i	0.927235	−	0.374480i	$-0.122179\pi$
$827$	8.18303	+	11.2630i	0.284552	+	0.391652i	−0.642683	+	0.766132i	$0.722179\pi$
$828$	−37.1001	−	12.0545i	−1.28932	−	0.418924i
$829$	−4.53206	+	13.9482i	−0.157405	+	0.484442i	−0.998397	−	0.0566056i	$-0.981972\pi$
$829$	−4.53206	+	13.9482i	−0.157405	+	0.484442i	0.840992	+	0.541048i	$0.181972\pi$
$830$	3.49163	−	3.43734i	0.121196	−	0.119312i
$831$	−5.62877	−	17.3236i	−0.195260	−	0.600948i
$832$			4.62386i			0.160303i
$833$	−15.3043	+	4.97267i	−0.530263	+	0.172293i
$834$	−56.3226	−	40.9208i	−1.95029	−	1.41697i
$835$	−1.20850	−	8.03726i	−0.0418219	−	0.278141i
$836$	−4.15692	+	3.02018i	−0.143770	+	0.104455i
$837$	45.0907	−	62.0620i	1.55856	−	2.14518i
$838$	22.9516	−	31.5901i	0.792849	−	1.09126i
$839$	−22.5117	+	16.3557i	−0.777191	+	0.564662i	−0.904135	−	0.427248i	$-0.859483\pi$
$839$	−22.5117	+	16.3557i	−0.777191	+	0.564662i	0.126944	+	0.991910i	$0.459483\pi$
$840$	−31.8587	−	5.30213i	−1.09923	−	0.182941i
$841$	22.3751	+	16.2565i	0.771556	+	0.560568i
$842$	−18.2045	+	5.91499i	−0.627367	+	0.203844i
$843$		−	27.4452i		−	0.945263i
$844$	0.760746	+	2.34134i	0.0261860	+	0.0805921i
$845$	18.5301	−	2.78622i	0.637453	−	0.0958490i
$846$	−6.63430	+	20.4183i	−0.228092	+	0.701995i
$847$	64.9495	+	21.1034i	2.23169	+	0.725120i
$848$	1.65574	+	2.27893i	0.0568584	+	0.0782589i
$849$	−30.1114			−1.03342
$850$	−3.65417	−	5.19894i	−0.125337	−	0.178322i
$851$	−33.7981			−1.15858
$852$	−12.9796	−	17.8648i	−0.444672	−	0.612039i
$853$	−17.2644	−	5.60956i	−0.591123	−	0.192068i	−0.00184574	−	0.999998i	$-0.500588\pi$
$853$	−17.2644	−	5.60956i	−0.591123	−	0.192068i	−0.589277	+	0.807931i	$0.700588\pi$
$854$	20.4743	−	63.0135i	0.700617	−	2.15628i
$855$	−15.1018	−	7.84438i	−0.516469	−	0.268272i
$856$	4.18564	+	12.8821i	0.143062	+	0.440300i
$857$			27.5245i			0.940218i	0.882608	+	0.470109i	$0.155785\pi$
$857$			27.5245i			0.940218i	−0.882608	+	0.470109i	$0.844215\pi$
$858$	73.6024	−	23.9149i	2.51275	−	0.816441i
$859$	20.9252	+	15.2031i	0.713959	+	0.518722i	0.884448	−	0.466638i	$-0.154535\pi$
$859$	20.9252	+	15.2031i	0.713959	+	0.518722i	−0.170489	+	0.985359i	$0.554535\pi$
$860$	−8.94551	+	17.2216i	−0.305039	+	0.587252i
$861$	0.108840	−	0.0790767i	0.00370925	−	0.00269493i
$862$	−2.91624	+	4.01386i	−0.0993275	+	0.136713i
$863$	−32.8367	+	45.1958i	−1.11777	+	1.53848i	−0.308336	+	0.951278i	$0.599772\pi$
$863$	−32.8367	+	45.1958i	−1.11777	+	1.53848i	−0.809438	+	0.587206i	$0.800228\pi$
$864$	−12.1499	+	8.82741i	−0.413347	+	0.300315i
$865$	16.5644	−	8.27713i	0.563205	−	0.281431i
$866$	18.4118	+	13.3769i	0.625658	+	0.454567i
$867$	47.6611	−	15.4860i	1.61865	−	0.525933i
$868$		−	22.6496i		−	0.768779i
$869$	−12.9758	−	39.9353i	−0.440173	−	1.35471i
$870$	−1.38565	+	8.32592i	−0.0469780	+	0.282275i
$871$	−9.11976	+	28.0677i	−0.309011	+	0.951039i
$872$	0.231340	+	0.0751669i	0.00783415	+	0.00254547i
$873$	36.3045	+	49.9689i	1.22872	+	1.69119i
$874$	−5.12573			−0.173380
$875$	43.6305	+	23.5386i	1.47498	+	0.795749i
$876$	2.04411			0.0690642
$877$	−13.0653	−	17.9829i	−0.441184	−	0.607238i	0.529290	−	0.848441i	$-0.322458\pi$
$877$	−13.0653	−	17.9829i	−0.441184	−	0.607238i	−0.970475	+	0.241202i	$0.922458\pi$
$878$	−0.445570	−	0.144774i	−0.0150372	−	0.00488590i
$879$	19.0559	−	58.6479i	0.642738	−	1.97814i
$880$	1.88620	−	11.3336i	0.0635839	−	0.382054i
$881$	−9.85634	−	30.3347i	−0.332069	−	1.02200i	−0.968148	−	0.250378i	$-0.919445\pi$
$881$	−9.85634	−	30.3347i	−0.332069	−	1.02200i	0.636079	−	0.771624i	$-0.280555\pi$
$882$		−	96.3598i		−	3.24460i
$883$	11.4254	−	3.71234i	0.384496	−	0.124930i	−0.110390	−	0.993888i	$-0.535210\pi$
$883$	11.4254	−	3.71234i	0.384496	−	0.124930i	0.494886	+	0.868958i	$0.335210\pi$
$884$	−4.75429	−	3.45419i	−0.159904	−	0.116177i
$885$	−69.9625	+	34.9599i	−2.35176	+	1.17516i
$886$	11.6212	−	8.44327i	0.390421	−	0.283657i
$887$	2.13453	−	2.93793i	0.0716705	−	0.0986459i	−0.771677	−	0.636015i	$-0.780582\pi$
$887$	2.13453	−	2.93793i	0.0716705	−	0.0986459i	0.843347	+	0.537369i	$0.180582\pi$
$888$	−12.6247	+	17.3765i	−0.423659	+	0.583116i
$889$	−15.5987	+	11.3331i	−0.523165	+	0.380101i
$890$	5.41253	−	10.4200i	0.181429	−	0.349281i
$891$	108.446	+	78.7906i	3.63308	+	2.63958i
$892$	15.4335	−	5.01465i	0.516752	−	0.167903i
$893$			2.82098i			0.0944006i
$894$	−19.2029	−	59.1005i	−0.642241	−	1.97662i
$895$	−41.0069	−	21.3004i	−1.37071	−	0.711993i
$896$	−1.37022	+	4.21710i	−0.0457758	+	0.140883i
$897$	73.4233	+	23.8567i	2.45153	+	0.796552i
$898$	12.0501	+	16.5855i	0.402116	+	0.553465i
$899$	−5.91924			−0.197418
$900$	36.3698	−	11.1903i	1.21233	−	0.373010i
$901$	−3.58012			−0.119271
$902$	0.0281311	+	0.0387192i	0.000936664	+	0.00128921i
$903$	−119.218	−	38.7362i	−3.96731	−	1.28906i
$904$	−2.59524	+	7.98732i	−0.0863163	+	0.265654i
$905$	13.1235	−	1.97329i	0.436241	−	0.0655943i
$906$	9.09173	+	27.9815i	0.302052	+	0.929622i
$907$		−	58.8537i		−	1.95420i	−0.212772	−	0.977102i	$-0.568249\pi$
$907$		−	58.8537i		−	1.95420i	0.212772	−	0.977102i	$-0.431751\pi$
$908$	−11.5645	+	3.75752i	−0.383780	+	0.124698i
$909$	36.0371	+	26.1825i	1.19528	+	0.868419i
$910$	45.2235	+	7.52639i	1.49915	+	0.249497i
$911$	10.2589	−	7.45354i	0.339893	−	0.246947i	−0.404724	−	0.914439i	$-0.632632\pi$
$911$	10.2589	−	7.45354i	0.339893	−	0.246947i	0.744617	+	0.667492i	$0.232632\pi$
$912$	−1.91464	+	2.63527i	−0.0634000	+	0.0872625i
$913$	−6.61781	+	9.10863i	−0.219017	+	0.301452i
$914$	0.0357212	−	0.0259530i	0.00118155	−	0.000858448i
$915$	16.1829	+	107.626i	0.534991	+	3.55801i
$916$	−2.51988	−	1.83080i	−0.0832591	−	0.0604913i
$917$	−66.3383	+	21.5546i	−2.19068	+	0.711797i
$918$		−	19.0870i		−	0.629966i
$919$	2.11959	+	6.52343i	0.0699188	+	0.215188i	0.979910	−	0.199439i	$-0.0639120\pi$
$919$	2.11959	+	6.52343i	0.0699188	+	0.215188i	−0.909991	+	0.414627i	$0.863912\pi$
$920$	8.16774	−	8.04074i	0.269283	−	0.265095i
$921$	−30.3143	+	93.2979i	−0.998891	+	3.07427i
$922$	−33.2517	−	10.8041i	−1.09509	−	0.355815i
$923$	18.4245	+	25.3592i	0.606451	+	0.834708i
$924$	74.2146			2.44148
$925$	26.9729	−	18.9584i	0.886863	−	0.623348i
$926$	32.1096			1.05519
$927$	9.91468	+	13.6464i	0.325641	+	0.448206i
$928$	1.10209	+	0.358092i	0.0361780	+	0.0117549i
$929$	−6.44138	+	19.8245i	−0.211335	+	0.650422i	0.788059	+	0.615600i	$0.211086\pi$
$929$	−6.44138	+	19.8245i	−0.211335	+	0.650422i	−0.999394	+	0.0348216i	$0.988914\pi$
$930$	16.6306	+	33.2816i	0.545340	+	1.09135i
$931$	−3.91260	−	12.0418i	−0.128230	−	0.394653i
$932$		−	1.54980i		−	0.0507655i
$933$	22.8065	−	7.41030i	0.746653	−	0.242602i
$934$	24.6439	+	17.9049i	0.806374	+	0.585865i
$935$	10.2442	+	10.4060i	0.335021	+	0.340313i
$936$	28.4691	−	20.6840i	0.930543	−	0.676079i
$937$	13.6078	−	18.7295i	0.444547	−	0.611866i	−0.526668	−	0.850071i	$-0.676559\pi$
$937$	13.6078	−	18.7295i	0.444547	−	0.611866i	0.971215	+	0.238205i	$0.0765590\pi$
$938$	−16.6350	+	22.8961i	−0.543152	+	0.747585i
$939$	23.0295	−	16.7319i	0.751538	−	0.546024i
$940$	−4.42528	−	4.49517i	−0.144337	−	0.146616i
$941$	21.9938	+	15.9794i	0.716978	+	0.520915i	0.885417	−	0.464797i	$-0.153873\pi$
$941$	21.9938	+	15.9794i	0.716978	+	0.520915i	−0.168439	+	0.985712i	$0.553873\pi$
$942$	−47.2952	+	15.3671i	−1.54096	+	0.500688i
$943$			0.0477431i			0.00155473i
$944$	3.31816	+	10.2122i	0.107997	+	0.332380i
$945$	66.5595	+	133.200i	2.16518	+	4.33301i
$946$	13.7802	−	42.4110i	0.448032	−	1.37890i
$947$	7.06091	+	2.29423i	0.229449	+	0.0745524i	0.421485	−	0.906835i	$-0.361509\pi$
$947$	7.06091	+	2.29423i	0.229449	+	0.0745524i	−0.192036	+	0.981388i	$0.561509\pi$
$948$	−15.6467	−	21.5359i	−0.508182	−	0.699453i
$949$	−2.90163			−0.0941908
$950$	4.09064	−	2.87518i	0.132718	−	0.0932831i
$951$	53.7783			1.74388
$952$	−3.31246	−	4.55921i	−0.107357	−	0.147765i
$953$	−37.8475	−	12.2974i	−1.22600	−	0.398352i	−0.376737	−	0.926320i	$-0.622954\pi$
$953$	−37.8475	−	12.2974i	−1.22600	−	0.398352i	−0.849264	+	0.527969i	$0.822954\pi$
$954$	6.62474	−	20.3888i	0.214484	−	0.660113i
$955$	−24.2513	+	23.8742i	−0.784754	+	0.772552i
$956$	−2.68029	−	8.24908i	−0.0866867	−	0.266794i
$957$		−	19.3952i		−	0.626957i
$958$	5.92674	−	1.92571i	0.191484	−	0.0622170i
$959$	−62.9397	−	45.7284i	−2.03243	−	1.47665i
$960$	−1.08302	−	7.20274i	−0.0349544	−	0.232468i
$961$	3.97068	−	2.88487i	0.128087	−	0.0930603i
$962$	17.9209	−	24.6660i	0.577792	−	0.795263i
$963$	60.5914	−	83.3969i	1.95253	−	2.68743i
$964$	−24.2681	+	17.6318i	−0.781622	+	0.567882i
$965$	37.3881	+	6.22237i	1.20357	+	0.200305i
$966$	59.8948	+	43.5161i	1.92708	+	1.40011i
$967$	−1.64203	+	0.533526i	−0.0528040	+	0.0171571i	−0.335300	−	0.942111i	$-0.608838\pi$
$967$	−1.64203	+	0.533526i	−0.0528040	+	0.0171571i	0.282496	+	0.959269i	$0.408838\pi$
$968$			15.4015i			0.495021i
$969$	−1.27930	−	3.93729i	−0.0410972	−	0.126484i
$970$	−17.9457	+	2.69836i	−0.576201	+	0.0866390i
$971$	3.36446	−	10.3547i	0.107971	−	0.332299i	−0.882446	−	0.470414i	$-0.844104\pi$
$971$	3.36446	−	10.3547i	0.107971	−	0.332299i	0.990416	+	0.138115i	$0.0441044\pi$
$972$	37.9703	+	12.3373i	1.21790	+	0.395719i
$973$	55.7037	+	76.6695i	1.78578	+	2.45791i
$974$	0.583645			0.0187012
$975$	−71.9782	+	22.1463i	−2.30515	+	0.709250i
$976$	14.9424			0.478294
$977$	18.3468	+	25.2522i	0.586967	+	0.807890i	0.994438	−	0.105328i	$-0.0335892\pi$
$977$	18.3468	+	25.2522i	0.586967	+	0.807890i	−0.407471	+	0.913218i	$0.633589\pi$
$978$	47.6128	+	15.4703i	1.52249	+	0.494687i
$979$	−8.33779	+	25.6611i	−0.266477	+	0.820131i
$980$	25.1246	+	13.0506i	0.802575	+	0.416885i
$981$	−0.572056	−	1.76061i	−0.0182644	−	0.0562119i
$982$			0.517011i			0.0164985i
$983$	−16.5503	+	5.37751i	−0.527872	+	0.171516i	−0.560815	−	0.827941i	$-0.689512\pi$
$983$	−16.5503	+	5.37751i	−0.527872	+	0.171516i	0.0329431	+	0.999457i	$0.489512\pi$
$984$	0.0245460	+	0.0178337i	0.000782497	+	0.000568517i
$985$	10.5087	−	20.2311i	0.334836	−	0.644616i
$986$	−1.19150	+	0.865675i	−0.0379451	+	0.0275687i
$987$	23.9494	−	32.9635i	0.762317	−	1.04924i
$988$	2.71783	−	3.74078i	0.0864658	−	0.119010i
$989$	35.9892	−	26.1477i	1.14439	−	0.831448i
$990$	−78.2185	+	39.0854i	−2.48595	+	1.24222i
$991$	25.9581	+	18.8597i	0.824587	+	0.599097i	0.918023	−	0.396528i	$-0.129785\pi$
$991$	25.9581	+	18.8597i	0.824587	+	0.599097i	−0.0934361	+	0.995625i	$0.529785\pi$
$992$	4.85802	−	1.57847i	0.154242	−	0.0501164i
$993$		−	19.8288i		−	0.629249i
$994$	9.28889	+	28.5883i	0.294626	+	0.906764i
$995$	4.10233	−	24.6495i	0.130053	−	0.781442i
$996$	−2.20562	+	6.78821i	−0.0698879	+	0.215093i
$997$	50.3508	+	16.3600i	1.59462	+	0.518125i	0.965771	−	0.259398i	$-0.0835241\pi$
$997$	50.3508	+	16.3600i	1.59462	+	0.518125i	0.628854	+	0.777523i	$0.283524\pi$
$998$	−4.10183	−	5.64568i	−0.129841	−	0.178711i
$999$	99.0264			3.13306

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.a.39.12	✓	88
25.9	even	10	inner	950.2.n.a.609.12	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.a.39.12	✓	88	1.1	even	1	trivial
950.2.n.a.609.12	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)

\(f(q)\)	\(=\)	\(q+(0.587785 + 0.809017i) q^{2} +(-3.09795 - 1.00658i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.367092 + 2.20573i) q^{5} +(-1.00658 - 3.09795i) q^{6} +4.43412i q^{7} +(-0.951057 + 0.309017i) q^{8} +(6.15701 + 4.47333i) q^{9} +O(q^{10})\)	\(q+(0.587785 + 0.809017i) q^{2} +(-3.09795 - 1.00658i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-0.367092 + 2.20573i) q^{5} +(-1.00658 - 3.09795i) q^{6} +4.43412i q^{7} +(-0.951057 + 0.309017i) q^{8} +(6.15701 + 4.47333i) q^{9} +(-2.00024 + 0.999512i) q^{10} +(4.15692 - 3.02018i) q^{11} +(1.91464 - 2.63527i) q^{12} +(-2.71783 + 3.74078i) q^{13} +(-3.58728 + 2.60631i) q^{14} +(3.35748 - 6.46373i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(1.20873 - 0.392741i) q^{17} +7.61049i q^{18} +(0.309017 + 0.951057i) q^{19} +(-1.98434 - 1.03073i) q^{20} +(4.46332 - 13.7367i) q^{21} +(4.88675 + 1.58780i) q^{22} +(3.01283 + 4.14680i) q^{23} +3.25737 q^{24} +(-4.73049 - 1.61941i) q^{25} -4.62386 q^{26} +(-8.82741 - 12.1499i) q^{27} +(-4.21710 - 1.37022i) q^{28} +(-0.358092 + 1.10209i) q^{29} +(7.20274 - 1.08302i) q^{30} +(1.57847 + 4.85802i) q^{31} -1.00000i q^{32} +(-15.9180 + 5.17206i) q^{33} +(1.02821 + 0.747037i) q^{34} +(-9.78048 - 1.62773i) q^{35} +(-6.15701 + 4.47333i) q^{36} +(-3.87574 + 5.33450i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(12.1851 - 8.85300i) q^{39} +(-0.332483 - 2.21121i) q^{40} +(0.00753550 + 0.00547486i) q^{41} +(13.7367 - 4.46332i) q^{42} -8.67878i q^{43} +(1.58780 + 4.88675i) q^{44} +(-12.1272 + 11.9386i) q^{45} +(-1.58394 + 4.87486i) q^{46} +(2.68291 + 0.871731i) q^{47} +(1.91464 + 2.63527i) q^{48} -12.6615 q^{49} +(-1.47038 - 4.77891i) q^{50} -4.13991 q^{51} +(-2.71783 - 3.74078i) q^{52} +(-2.67905 - 0.870475i) q^{53} +(4.64084 - 14.2830i) q^{54} +(5.13573 + 10.2777i) q^{55} +(-1.37022 - 4.21710i) q^{56} -3.25737i q^{57} +(-1.10209 + 0.358092i) q^{58} +(-8.68705 - 6.31151i) q^{59} +(5.10985 + 5.19056i) q^{60} +(-12.0886 + 8.78290i) q^{61} +(-3.00242 + 4.13248i) q^{62} +(-19.8353 + 27.3010i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-7.25345 - 7.36802i) q^{65} +(-13.5406 - 9.83785i) q^{66} +(6.07020 - 1.97233i) q^{67} +1.27094i q^{68} +(-5.15948 - 15.8792i) q^{69} +(-4.43196 - 8.86933i) q^{70} +(2.09486 - 6.44733i) q^{71} +(-7.23800 - 2.35177i) q^{72} +(0.368855 + 0.507686i) q^{73} -6.59381 q^{74} +(13.0247 + 9.77848i) q^{75} -1.00000 q^{76} +(13.3918 + 18.4323i) q^{77} +(14.3245 + 4.65430i) q^{78} +(2.52534 - 7.77219i) q^{79} +(1.59348 - 1.56870i) q^{80} +(8.06165 + 24.8112i) q^{81} +0.00931439i q^{82} +(-2.08395 + 0.677117i) q^{83} +(11.6851 + 8.48974i) q^{84} +(0.422565 + 2.81031i) q^{85} +(7.02128 - 5.10126i) q^{86} +(2.21870 - 3.05378i) q^{87} +(-3.02018 + 4.15692i) q^{88} +(-4.24827 + 3.08655i) q^{89} +(-16.7867 - 2.79375i) q^{90} +(-16.5871 - 12.0512i) q^{91} +(-4.87486 + 1.58394i) q^{92} -16.6388i q^{93} +(0.871731 + 2.68291i) q^{94} +(-2.21121 + 0.332483i) q^{95} +(-1.00658 + 3.09795i) q^{96} +(7.71856 + 2.50791i) q^{97} +(-7.44222 - 10.2433i) q^{98} +39.1045 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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