LMFDB - Embedded newform 950.2.n.b.609.10

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:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			609.10
Character	$\chi$	$=$	950.609
Dual form			950.2.n.b.39.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 + 0.809017i) q^{2} +(1.40124 - 0.455290i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-1.43867 - 1.71179i) q^{5} +(-0.455290 + 1.40124i) q^{6} -2.83916i q^{7} +(0.951057 + 0.309017i) q^{8} +(-0.670872 + 0.487417i) q^{9} +O(q^{10})$	\(q+(-0.587785 + 0.809017i) q^{2} +(1.40124 - 0.455290i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-1.43867 - 1.71179i) q^{5} +(-0.455290 + 1.40124i) q^{6} -2.83916i q^{7} +(0.951057 + 0.309017i) q^{8} +(-0.670872 + 0.487417i) q^{9} +(2.23050 - 0.157745i) q^{10} +(1.33546 + 0.970268i) q^{11} +(-0.866013 - 1.19196i) q^{12} +(-1.60439 - 2.20825i) q^{13} +(2.29693 + 1.66881i) q^{14} +(-2.79528 - 1.74361i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-2.76575 - 0.898647i) q^{17} -0.829244i q^{18} +(-0.309017 + 0.951057i) q^{19} +(-1.18344 + 1.89723i) q^{20} +(-1.29264 - 3.97833i) q^{21} +(-1.56993 + 0.510100i) q^{22} +(0.638548 - 0.878885i) q^{23} +1.47335 q^{24} +(-0.860450 + 4.92541i) q^{25} +2.72955 q^{26} +(-3.31617 + 4.56432i) q^{27} +(-2.70020 + 0.877348i) q^{28} +(-1.50137 - 4.62073i) q^{29} +(3.05364 - 1.23656i) q^{30} +(0.0814229 - 0.250594i) q^{31} -1.00000i q^{32} +(2.31305 + 0.751555i) q^{33} +(2.35269 - 1.70933i) q^{34} +(-4.86004 + 4.08461i) q^{35} +(0.670872 + 0.487417i) q^{36} +(-6.28236 - 8.64692i) q^{37} +(-0.587785 - 0.809017i) q^{38} +(-3.25352 - 2.36382i) q^{39} +(-0.839285 - 2.07258i) q^{40} +(-3.26388 + 2.37135i) q^{41} +(3.97833 + 1.29264i) q^{42} -3.52149i q^{43} +(0.510100 - 1.56993i) q^{44} +(1.79952 + 0.447159i) q^{45} +(0.335704 + 1.03319i) q^{46} +(-7.69343 + 2.49975i) q^{47} +(-0.866013 + 1.19196i) q^{48} -1.06081 q^{49} +(-3.47898 - 3.59120i) q^{50} -4.28462 q^{51} +(-1.60439 + 2.20825i) q^{52} +(0.556510 - 0.180821i) q^{53} +(-1.74342 - 5.36568i) q^{54} +(-0.260392 - 3.68192i) q^{55} +(0.877348 - 2.70020i) q^{56} +1.47335i q^{57} +(4.62073 + 1.50137i) q^{58} +(-0.365441 + 0.265508i) q^{59} +(-0.794485 + 3.19728i) q^{60} +(-10.1351 - 7.36356i) q^{61} +(0.154875 + 0.213168i) q^{62} +(1.38385 + 1.90471i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-1.47187 + 5.92332i) q^{65} +(-1.96760 + 1.42954i) q^{66} +(-0.323718 - 0.105182i) q^{67} +2.90808i q^{68} +(0.494610 - 1.52225i) q^{69} +(-0.447862 - 6.33273i) q^{70} +(1.92286 + 5.91796i) q^{71} +(-0.788658 + 0.256250i) q^{72} +(6.49837 - 8.94424i) q^{73} +10.6882 q^{74} +(1.03679 + 7.29342i) q^{75} +1.00000 q^{76} +(2.75474 - 3.79158i) q^{77} +(3.82474 - 1.24273i) q^{78} +(-1.87919 - 5.78356i) q^{79} +(2.17007 + 0.539237i) q^{80} +(-1.79991 + 5.53955i) q^{81} -4.03437i q^{82} +(13.8472 + 4.49924i) q^{83} +(-3.38417 + 2.45875i) q^{84} +(2.44071 + 6.02724i) q^{85} +(2.84894 + 2.06988i) q^{86} +(-4.20754 - 5.79118i) q^{87} +(0.970268 + 1.33546i) q^{88} +(1.45627 + 1.05804i) q^{89} +(-1.41949 + 1.19301i) q^{90} +(-6.26957 + 4.55511i) q^{91} +(-1.03319 - 0.335704i) q^{92} -0.388213i q^{93} +(2.49975 - 7.69343i) q^{94} +(2.07258 - 0.839285i) q^{95} +(-0.455290 - 1.40124i) q^{96} +(6.33674 - 2.05893i) q^{97} +(0.623531 - 0.858217i) q^{98} -1.36885 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$1$

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
$3$	1.40124	−	0.455290i	0.809005	−	0.262862i	0.124829	−	0.992178i	$-0.460162\pi$
$3$	1.40124	−	0.455290i	0.809005	−	0.262862i	0.684176	+	0.729317i	$0.260162\pi$
$4$	−0.309017	−	0.951057i	−0.154508	−	0.475528i
$5$	−1.43867	−	1.71179i	−0.643393	−	0.765536i
$5$	−1.43867	−	1.71179i	−0.643393	−	0.765536i
$6$	−0.455290	+	1.40124i	−0.185871	+	0.572053i
$7$		−	2.83916i		−	1.07310i	−0.843868	−	0.536550i	$-0.819727\pi$
$7$		−	2.83916i		−	1.07310i	0.843868	−	0.536550i	$-0.180273\pi$
$8$	0.951057	+	0.309017i	0.336249	+	0.109254i
$9$	−0.670872	+	0.487417i	−0.223624	+	0.162472i
$10$	2.23050	−	0.157745i	0.705345	−	0.0498832i
$11$	1.33546	+	0.970268i	0.402656	+	0.292547i	0.770622	−	0.637292i	$-0.219946\pi$
$11$	1.33546	+	0.970268i	0.402656	+	0.292547i	−0.367966	+	0.929839i	$0.619946\pi$
$12$	−0.866013	−	1.19196i	−0.249996	−	0.344090i
$13$	−1.60439	−	2.20825i	−0.444977	−	0.612458i	0.526332	−	0.850279i	$-0.323567\pi$
$13$	−1.60439	−	2.20825i	−0.444977	−	0.612458i	−0.971309	+	0.237821i	$0.923567\pi$
$14$	2.29693	+	1.66881i	0.613879	+	0.446010i
$15$	−2.79528	−	1.74361i	−0.721738	−	0.450199i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−2.76575	−	0.898647i	−0.670793	−	0.217954i	−0.0462332	−	0.998931i	$-0.514722\pi$
$17$	−2.76575	−	0.898647i	−0.670793	−	0.217954i	−0.624560	+	0.780977i	$0.714722\pi$
$18$		−	0.829244i		−	0.195455i
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$19$	−0.309017	+	0.951057i	−0.0708934	+	0.218187i
$20$	−1.18344	+	1.89723i	−0.264624	+	0.424234i
$21$	−1.29264	−	3.97833i	−0.282077	−	0.868144i
$22$	−1.56993	+	0.510100i	−0.334710	+	0.108754i
$23$	0.638548	−	0.878885i	0.133146	−	0.183260i	−0.737238	−	0.675633i	$-0.763870\pi$
$23$	0.638548	−	0.878885i	0.133146	−	0.183260i	0.870384	+	0.492373i	$0.163870\pi$
$24$	1.47335			0.300746
$25$	−0.860450	+	4.92541i	−0.172090	+	0.985081i
$26$	2.72955			0.535308
$27$	−3.31617	+	4.56432i	−0.638198	+	0.878404i
$28$	−2.70020	+	0.877348i	−0.510290	+	0.165803i
$29$	−1.50137	−	4.62073i	−0.278797	−	0.858048i	−0.988190	−	0.153235i	$-0.951031\pi$
$29$	−1.50137	−	4.62073i	−0.278797	−	0.858048i	0.709393	−	0.704813i	$-0.248969\pi$
$30$	3.05364	−	1.23656i	0.557515	−	0.225764i
$31$	0.0814229	−	0.250594i	0.0146240	−	0.0450080i	−0.943478	−	0.331434i	$-0.892467\pi$
$31$	0.0814229	−	0.250594i	0.0146240	−	0.0450080i	0.958102	+	0.286426i	$0.0924674\pi$
$32$		−	1.00000i		−	0.176777i
$33$	2.31305	+	0.751555i	0.402650	+	0.130829i
$34$	2.35269	−	1.70933i	0.403483	−	0.293147i
$35$	−4.86004	+	4.08461i	−0.821497	+	0.690426i
$36$	0.670872	+	0.487417i	0.111812	+	0.0812362i
$37$	−6.28236	−	8.64692i	−1.03281	−	1.42155i	−0.902814	−	0.430031i	$-0.858503\pi$
$37$	−6.28236	−	8.64692i	−1.03281	−	1.42155i	−0.129999	−	0.991514i	$-0.541497\pi$
$38$	−0.587785	−	0.809017i	−0.0953514	−	0.131240i
$39$	−3.25352	−	2.36382i	−0.520981	−	0.378514i
$40$	−0.839285	−	2.07258i	−0.132703	−	0.327704i
$41$	−3.26388	+	2.37135i	−0.509732	+	0.370342i	−0.812722	−	0.582652i	$-0.802015\pi$
$41$	−3.26388	+	2.37135i	−0.509732	+	0.370342i	0.302990	+	0.952994i	$0.402015\pi$
$42$	3.97833	+	1.29264i	0.613870	+	0.199459i
$43$		−	3.52149i		−	0.537022i	−0.963277	−	0.268511i	$-0.913468\pi$
$43$		−	3.52149i		−	0.537022i	0.963277	−	0.268511i	$-0.0865316\pi$
$44$	0.510100	−	1.56993i	0.0769005	−	0.236675i
$45$	1.79952	+	0.447159i	0.268257	+	0.0666586i
$46$	0.335704	+	1.03319i	0.0494969	+	0.152336i
$47$	−7.69343	+	2.49975i	−1.12220	+	0.364626i	−0.810608	−	0.585589i	$-0.800863\pi$
$47$	−7.69343	+	2.49975i	−1.12220	+	0.364626i	−0.311595	+	0.950215i	$0.600863\pi$
$48$	−0.866013	+	1.19196i	−0.124998	+	0.172045i
$49$	−1.06081			−0.151545
$50$	−3.47898	−	3.59120i	−0.492002	−	0.507872i
$51$	−4.28462			−0.599967
$52$	−1.60439	+	2.20825i	−0.222489	+	0.306229i
$53$	0.556510	−	0.180821i	0.0764425	−	0.0248377i	−0.270546	−	0.962707i	$-0.587204\pi$
$53$	0.556510	−	0.180821i	0.0764425	−	0.0248377i	0.346989	+	0.937869i	$0.387204\pi$
$54$	−1.74342	−	5.36568i	−0.237249	−	0.730177i
$55$	−0.260392	−	3.68192i	−0.0351112	−	0.496470i
$56$	0.877348	−	2.70020i	0.117241	−	0.360829i
$57$			1.47335i			0.195150i
$58$	4.62073	+	1.50137i	0.606731	+	0.197139i
$59$	−0.365441	+	0.265508i	−0.0475764	+	0.0345663i	−0.611319	−	0.791384i	$-0.709361\pi$
$59$	−0.365441	+	0.265508i	−0.0475764	+	0.0345663i	0.563743	+	0.825950i	$0.309361\pi$
$60$	−0.794485	+	3.19728i	−0.102568	+	0.412767i
$61$	−10.1351	−	7.36356i	−1.29766	−	0.942807i	−0.297732	−	0.954649i	$-0.596230\pi$
$61$	−10.1351	−	7.36356i	−1.29766	−	0.942807i	−0.999930	+	0.0118427i	$0.996230\pi$
$62$	0.154875	+	0.213168i	0.0196692	+	0.0270723i
$63$	1.38385	+	1.90471i	0.174349	+	0.239971i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	−1.47187	+	5.92332i	−0.182563	+	0.734697i
$66$	−1.96760	+	1.42954i	−0.242195	+	0.175965i
$67$	−0.323718	−	0.105182i	−0.0395484	−	0.0128501i	0.289176	−	0.957276i	$-0.406619\pi$
$67$	−0.323718	−	0.105182i	−0.0395484	−	0.0128501i	−0.328724	+	0.944426i	$0.606619\pi$
$68$			2.90808i			0.352657i
$69$	0.494610	−	1.52225i	0.0595440	−	0.183258i
$70$	−0.447862	−	6.33273i	−0.0535297	−	0.756906i
$71$	1.92286	+	5.91796i	0.228202	+	0.702332i	0.997951	+	0.0639859i	$0.0203813\pi$
$71$	1.92286	+	5.91796i	0.228202	+	0.702332i	−0.769749	+	0.638346i	$0.779619\pi$
$72$	−0.788658	+	0.256250i	−0.0929442	+	0.0301994i
$73$	6.49837	−	8.94424i	0.760576	−	1.04684i	−0.236589	−	0.971610i	$-0.576030\pi$
$73$	6.49837	−	8.94424i	0.760576	−	1.04684i	0.997166	−	0.0752340i	$-0.0239704\pi$
$74$	10.6882			1.24248
$75$	1.03679	+	7.29342i	0.119718	+	0.842172i
$76$	1.00000			0.114708
$77$	2.75474	−	3.79158i	0.313932	−	0.432091i
$78$	3.82474	−	1.24273i	0.433067	−	0.140712i
$79$	−1.87919	−	5.78356i	−0.211426	−	0.650701i	−0.999388	−	0.0349779i	$-0.988864\pi$
$79$	−1.87919	−	5.78356i	−0.211426	−	0.650701i	0.787962	−	0.615723i	$-0.211136\pi$
$80$	2.17007	+	0.539237i	0.242622	+	0.0602886i
$81$	−1.79991	+	5.53955i	−0.199990	+	0.615505i
$82$		−	4.03437i		−	0.445522i
$83$	13.8472	+	4.49924i	1.51993	+	0.493856i	0.945757	−	0.324876i	$-0.105322\pi$
$83$	13.8472	+	4.49924i	1.51993	+	0.493856i	0.574176	+	0.818732i	$0.305322\pi$
$84$	−3.38417	+	2.45875i	−0.369244	+	0.268271i
$85$	2.44071	+	6.02724i	0.264732	+	0.653746i
$86$	2.84894	+	2.06988i	0.307210	+	0.223201i
$87$	−4.20754	−	5.79118i	−0.451096	−	0.620880i
$88$	0.970268	+	1.33546i	0.103431	+	0.142360i
$89$	1.45627	+	1.05804i	0.154364	+	0.112152i	0.662286	−	0.749251i	$-0.269586\pi$
$89$	1.45627	+	1.05804i	0.154364	+	0.112152i	−0.507922	+	0.861403i	$0.669586\pi$
$90$	−1.41949	+	1.19301i	−0.149628	+	0.125754i
$91$	−6.26957	+	4.55511i	−0.657229	+	0.477505i
$92$	−1.03319	−	0.335704i	−0.107718	−	0.0349996i
$93$		−	0.388213i		−	0.0402558i
$94$	2.49975	−	7.69343i	0.257829	−	0.793517i
$95$	2.07258	−	0.839285i	0.212643	−	0.0861089i
$96$	−0.455290	−	1.40124i	−0.0464678	−	0.143013i
$97$	6.33674	−	2.05893i	0.643399	−	0.209053i	0.0308976	−	0.999523i	$-0.490163\pi$
$97$	6.33674	−	2.05893i	0.643399	−	0.209053i	0.612501	+	0.790470i	$0.290163\pi$
$98$	0.623531	−	0.858217i	0.0629862	−	0.0866930i
$99$	−1.36885			−0.137574
$100$	4.95023	−	0.703698i	0.495023	−	0.0703698i
$101$	9.70189			0.965374			0.482687	−	0.875793i	$-0.339661\pi$
$101$	9.70189			0.965374			0.482687	+	0.875793i	$0.339661\pi$
$102$	2.51844	−	3.46633i	0.249362	−	0.343218i
$103$	−0.786348	+	0.255500i	−0.0774812	+	0.0251752i	−0.347501	−	0.937680i	$-0.612970\pi$
$103$	−0.786348	+	0.255500i	−0.0774812	+	0.0251752i	0.270020	+	0.962855i	$0.412970\pi$
$104$	−0.843476	−	2.59595i	−0.0827097	−	0.254554i
$105$	−4.95039	+	7.93624i	−0.483109	+	0.774498i
$106$	−0.180821	+	0.556510i	−0.0175629	+	0.0540530i
$107$		−	8.42455i		−	0.814432i	−0.913332	−	0.407216i	$-0.866500\pi$
$107$		−	8.42455i		−	0.814432i	0.913332	−	0.407216i	$-0.133500\pi$
$108$	5.36568	+	1.74342i	0.516313	+	0.167760i
$109$	−9.88068	+	7.17873i	−0.946397	+	0.687598i	−0.949952	−	0.312396i	$-0.898869\pi$
$109$	−9.88068	+	7.17873i	−0.946397	+	0.687598i	0.00355462	+	0.999994i	$0.498869\pi$
$110$	3.13179	+	1.95352i	0.298605	+	0.186261i
$111$	−12.7399	−	9.25610i	−1.20922	−	0.878550i
$112$	1.66881	+	2.29693i	0.157688	+	0.217039i
$113$	10.5027	+	14.4557i	0.988013	+	1.35988i	0.932399	+	0.361430i	$0.117711\pi$
$113$	10.5027	+	14.4557i	0.988013	+	1.35988i	0.0556133	+	0.998452i	$0.482289\pi$
$114$	−1.19196	−	0.866013i	−0.111638	−	0.0811095i
$115$	−2.42313	+	0.171368i	−0.225958	+	0.0159801i
$116$	−3.93063	+	2.85577i	−0.364950	+	0.265151i
$117$	2.15268	+	0.699448i	0.199015	+	0.0646640i
$118$		−	0.451710i		−	0.0415833i
$119$	−2.55140	+	7.85241i	−0.233887	+	0.719829i
$120$	−2.11966	−	2.52206i	−0.193498	−	0.230232i
$121$	−2.55715	−	7.87011i	−0.232469	−	0.715465i
$122$	11.9145	−	3.87125i	1.07869	−	0.350487i
$123$	−3.49382	+	4.80883i	−0.315027	+	0.433597i
$124$	−0.263490			−0.0236621
$125$	9.66917	−	5.61313i	0.864836	−	0.502054i
$126$	−2.35435			−0.209742
$127$	9.68562	−	13.3311i	0.859460	−	1.18294i	−0.122239	−	0.992501i	$-0.539007\pi$
$127$	9.68562	−	13.3311i	0.859460	−	1.18294i	0.981698	−	0.190444i	$-0.0609927\pi$
$128$	−0.951057	+	0.309017i	−0.0840623	+	0.0273135i
$129$	−1.60330	−	4.93444i	−0.141162	−	0.434453i
$130$	−3.92692	−	4.67241i	−0.344414	−	0.409798i
$131$	1.81576	−	5.58833i	0.158644	−	0.488255i	−0.839868	−	0.542790i	$-0.817368\pi$
$131$	1.81576	−	5.58833i	0.158644	−	0.488255i	0.998512	+	0.0545357i	$0.0173679\pi$
$132$		−	2.43208i		−	0.211686i
$133$	2.70020	+	0.877348i	0.234137	+	0.0760757i
$134$	0.275371	−	0.200069i	0.0237884	−	0.0172833i
$135$	12.5840	−	0.889965i	1.08306	−	0.0765960i
$136$	−2.35269	−	1.70933i	−0.201741	−	0.146574i
$137$	−10.2355	−	14.0879i	−0.874474	−	1.20361i	−0.977921	−	0.208975i	$-0.932987\pi$
$137$	−10.2355	−	14.0879i	−0.874474	−	1.20361i	0.103447	−	0.994635i	$-0.467013\pi$
$138$	0.940803	+	1.29490i	0.0800865	+	0.110230i
$139$	5.16169	+	3.75018i	0.437808	+	0.318086i	0.784764	−	0.619795i	$-0.212784\pi$
$139$	5.16169	+	3.75018i	0.437808	+	0.318086i	−0.346955	+	0.937882i	$0.612784\pi$
$140$	5.38653	+	3.35996i	0.455245	+	0.283968i
$141$	−9.64222	+	7.00548i	−0.812021	+	0.589968i
$142$	−5.91796	−	1.92286i	−0.496624	−	0.161363i
$143$		−	4.50571i		−	0.376787i
$144$	0.256250	−	0.788658i	0.0213542	−	0.0657215i
$145$	−5.74975	+	9.21773i	−0.477490	+	0.765491i
$146$	3.41639	+	10.5146i	0.282743	+	0.870193i
$147$	−1.48645	+	0.482978i	−0.122601	+	0.0398354i
$148$	−6.28236	+	8.64692i	−0.516407	+	0.710773i
$149$	−5.64724			−0.462640			−0.231320	−	0.972878i	$-0.574304\pi$
$149$	−5.64724			−0.462640			−0.231320	+	0.972878i	$0.574304\pi$
$150$	−6.50991	−	3.44818i	−0.531532	−	0.281543i
$151$	12.9585			1.05455			0.527273	−	0.849696i	$-0.323214\pi$
$151$	12.9585			1.05455			0.527273	+	0.849696i	$0.323214\pi$
$152$	−0.587785	+	0.809017i	−0.0476757	+	0.0656199i
$153$	2.29348	−	0.745198i	0.185417	−	0.0602457i
$154$	1.44825	+	4.45727i	0.116704	+	0.359177i
$155$	−0.546105	+	0.221143i	−0.0438642	+	0.0177627i
$156$	−1.24273	+	3.82474i	−0.0994984	+	0.306225i
$157$		−	4.65152i		−	0.371232i	−0.982622	−	0.185616i	$-0.940572\pi$
$157$		−	4.65152i		−	0.371232i	0.982622	−	0.185616i	$-0.0594280\pi$
$158$	5.78356	+	1.87919i	0.460115	+	0.149501i
$159$	0.697476	−	0.506746i	0.0553135	−	0.0401876i
$160$	−1.71179	+	1.43867i	−0.135329	+	0.113737i
$161$	−2.49529	−	1.81294i	−0.196657	−	0.142879i
$162$	−3.42363	−	4.71222i	−0.268986	−	0.370227i
$163$	−3.66019	−	5.03782i	−0.286688	−	0.394593i	0.641246	−	0.767335i	$-0.278418\pi$
$163$	−3.66019	−	5.03782i	−0.286688	−	0.394593i	−0.927935	+	0.372742i	$0.878418\pi$
$164$	3.26388	+	2.37135i	0.254866	+	0.185171i
$165$	−2.04121	−	5.04070i	−0.158908	−	0.392418i
$166$	−11.7792	+	8.55807i	−0.914241	+	0.664235i
$167$	−3.98456	−	1.29466i	−0.308335	−	0.100184i	0.150763	−	0.988570i	$-0.451827\pi$
$167$	−3.98456	−	1.29466i	−0.308335	−	0.100184i	−0.459097	+	0.888386i	$0.651827\pi$
$168$		−	4.18307i		−	0.322731i
$169$	1.71491	−	5.27796i	0.131916	−	0.405997i
$170$	−6.31076	−	1.56815i	−0.484013	−	0.120271i
$171$	−0.256250	−	0.788658i	−0.0195960	−	0.0603102i
$172$	−3.34913	+	1.08820i	−0.255369	+	0.0829745i
$173$	12.8864	−	17.7367i	0.979738	−	1.34849i	0.0427678	−	0.999085i	$-0.486382\pi$
$173$	12.8864	−	17.7367i	0.979738	−	1.34849i	0.936970	−	0.349409i	$-0.113618\pi$
$174$	7.15830			0.542669
$175$	13.9840	+	2.44295i	1.05709	+	0.184670i
$176$	−1.65072			−0.124428
$177$	−0.391187	+	0.538422i	−0.0294034	+	0.0404703i
$178$	−1.71195	+	0.556245i	−0.128316	+	0.0416923i
$179$	5.62610	+	17.3154i	0.420515	+	1.29421i	0.907224	+	0.420647i	$0.138197\pi$
$179$	5.62610	+	17.3154i	0.420515	+	1.29421i	−0.486710	+	0.873564i	$0.661803\pi$
$180$	−0.130809	−	1.84963i	−0.00974991	−	0.137863i
$181$	−5.06110	+	15.5765i	−0.376189	+	1.15779i	0.566485	+	0.824072i	$0.308303\pi$
$181$	−5.06110	+	15.5765i	−0.376189	+	1.15779i	−0.942673	+	0.333717i	$0.891697\pi$
$182$		−	7.74961i		−	0.574440i
$183$	−17.5542	−	5.70370i	−1.29764	−	0.421630i
$184$	0.878885	−	0.638548i	0.0647923	−	0.0470744i
$185$	−5.76347	+	23.1942i	−0.423739	+	1.70527i
$186$	0.314071	+	0.228186i	0.0230288	+	0.0167314i
$187$	−2.82162	−	3.88363i	−0.206337	−	0.283999i
$188$	4.75480	+	6.54443i	0.346780	+	0.477301i
$189$	12.9588	+	9.41514i	0.942616	+	0.684851i
$190$	−0.539237	+	2.17007i	−0.0391204	+	0.157434i
$191$	18.5983	−	13.5125i	1.34573	−	0.977729i	0.346517	−	0.938044i	$-0.387364\pi$
$191$	18.5983	−	13.5125i	1.34573	−	0.977729i	0.999212	−	0.0396857i	$-0.0126357\pi$
$192$	1.40124	+	0.455290i	0.101126	+	0.0328577i
$193$			1.33022i			0.0957510i	0.998853	+	0.0478755i	$0.0152451\pi$
$193$			1.33022i			0.0957510i	−0.998853	+	0.0478755i	$0.984755\pi$
$194$	−2.05893	+	6.33674i	−0.147823	+	0.454952i
$195$	0.634382	+	8.97011i	0.0454290	+	0.642363i
$196$	0.327810	+	1.00889i	0.0234150	+	0.0720639i
$197$	6.15685	−	2.00048i	0.438657	−	0.142528i	−0.0813587	−	0.996685i	$-0.525926\pi$
$197$	6.15685	−	2.00048i	0.438657	−	0.142528i	0.520016	+	0.854156i	$0.325926\pi$
$198$	0.804589	−	1.10742i	0.0571796	−	0.0787010i
$199$	−7.54648			−0.534955			−0.267478	−	0.963564i	$-0.586190\pi$
$199$	−7.54648			−0.534955			−0.267478	+	0.963564i	$0.586190\pi$
$200$	−2.34037	+	4.41845i	−0.165489	+	0.312431i
$201$	−0.501494			−0.0353727
$202$	−5.70263	+	7.84899i	−0.401235	+	0.552253i
$203$	−13.1190	+	4.26261i	−0.920772	+	0.299177i
$204$	1.32402	+	4.07492i	0.0927000	+	0.285301i
$205$	8.75489	+	2.17549i	0.611468	+	0.151942i
$206$	0.255500	−	0.786348i	0.0178015	−	0.0547875i
$207$			0.900859i			0.0626140i
$208$	2.59595	+	0.843476i	0.179997	+	0.0584846i
$209$	−1.33546	+	0.970268i	−0.0923757	+	0.0671149i
$210$	−3.51079	−	8.66976i	−0.242267	−	0.598270i
$211$	−3.59846	−	2.61443i	−0.247728	−	0.179985i	0.456991	−	0.889471i	$-0.348927\pi$
$211$	−3.59846	−	2.61443i	−0.247728	−	0.179985i	−0.704719	+	0.709486i	$0.748927\pi$
$212$	−0.343942	−	0.473395i	−0.0236220	−	0.0325129i
$213$	5.38877	+	7.41701i	0.369233	+	0.508205i
$214$	6.81561	+	4.95183i	0.465905	+	0.338500i
$215$	−6.02805	+	5.06626i	−0.411109	+	0.345516i
$216$	−4.56432	+	3.31617i	−0.310563	+	0.225637i
$217$	−0.711475	−	0.231172i	−0.0482981	−	0.0156930i
$218$		−	12.2132i		−	0.827182i
$219$	5.03354	−	15.4916i	0.340135	−	1.04683i
$220$	−3.42125	+	1.38542i	−0.230661	+	0.0934053i
$221$	2.45290	+	7.54925i	0.165000	+	0.507818i
$222$	14.9767	−	4.86622i	1.00517	−	0.326599i
$223$	2.70232	−	3.71943i	0.180961	−	0.249071i	−0.708894	−	0.705315i	$-0.750806\pi$
$223$	2.70232	−	3.71943i	0.180961	−	0.249071i	0.889855	+	0.456244i	$0.150806\pi$
$224$	−2.83916			−0.189699
$225$	−1.82348	−	3.72372i	−0.121565	−	0.248248i
$226$	−17.8683			−1.18858
$227$	−6.22249	+	8.56452i	−0.413001	+	0.568447i	−0.963947	−	0.266094i	$-0.914267\pi$
$227$	−6.22249	+	8.56452i	−0.413001	+	0.568447i	0.550946	+	0.834541i	$0.314267\pi$
$228$	1.40124	−	0.455290i	0.0927992	−	0.0301523i
$229$	4.32806	+	13.3204i	0.286006	+	0.880236i	0.986095	+	0.166181i	$0.0531436\pi$
$229$	4.32806	+	13.3204i	0.286006	+	0.880236i	−0.700089	+	0.714055i	$0.746856\pi$
$230$	1.28564	−	2.06108i	0.0847725	−	0.135903i
$231$	2.13378	−	6.56711i	0.140393	−	0.432084i
$232$		−	4.85852i		−	0.318978i
$233$	24.8408	+	8.07128i	1.62738	+	0.528767i	0.973667	−	0.227977i	$-0.0732111\pi$
$233$	24.8408	+	8.07128i	1.62738	+	0.528767i	0.653711	+	0.756744i	$0.273211\pi$
$234$	−1.83118	+	1.33043i	−0.119708	+	0.0869728i
$235$	15.3474	+	9.57323i	1.00115	+	0.624488i
$236$	0.365441	+	0.265508i	0.0237882	+	0.0172831i
$237$	−5.26639	−	7.24856i	−0.342089	−	0.470845i
$238$	−4.85305	−	6.67966i	−0.314577	−	0.432978i
$239$	1.61987	+	1.17690i	0.104781	+	0.0761275i	0.638942	−	0.769255i	$-0.279372\pi$
$239$	1.61987	+	1.17690i	0.104781	+	0.0761275i	−0.534161	+	0.845383i	$0.679372\pi$
$240$	3.28630	−	0.232413i	0.212130	−	0.0150022i
$241$	−23.2462	+	16.8894i	−1.49742	+	1.08794i	−0.526026	+	0.850468i	$0.676319\pi$
$241$	−23.2462	+	16.8894i	−1.49742	+	1.08794i	−0.971394	+	0.237472i	$0.923681\pi$
$242$	7.87011	+	2.55715i	0.505910	+	0.164380i
$243$		−	8.34373i		−	0.535251i
$244$	−3.87125	+	11.9145i	−0.247831	+	0.762747i
$245$	1.52616	+	1.81589i	0.0975030	+	0.116013i
$246$	−1.83681	−	5.65312i	−0.117111	−	0.360430i
$247$	2.59595	−	0.843476i	0.165177	−	0.0536691i
$248$	0.154875	−	0.213168i	0.00983460	−	0.0135362i
$249$	21.4517			1.35945
$250$	−1.14227	+	11.1218i	−0.0722438	+	0.703407i
$251$	−8.90462			−0.562054			−0.281027	−	0.959700i	$-0.590675\pi$
$251$	−8.90462			−0.562054			−0.281027	+	0.959700i	$0.590675\pi$
$252$	1.38385	−	1.90471i	0.0871746	−	0.119986i
$253$	1.70551	−	0.554153i	0.107224	−	0.0348393i
$254$	5.09203	+	15.6717i	0.319502	+	0.983327i
$255$	6.16416	+	7.33437i	0.386015	+	0.459296i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$			9.24946i			0.576965i	0.957485	+	0.288483i	$0.0931508\pi$
$257$			9.24946i			0.576965i	−0.957485	+	0.288483i	$0.906849\pi$
$258$	4.93444	+	1.60330i	0.307205	+	0.0998169i
$259$	−24.5500	+	17.8366i	−1.52546	+	1.10831i
$260$	6.08825	−	0.430571i	0.377577	−	0.0267029i
$261$	3.25945	+	2.36813i	0.201755	+	0.146583i
$262$	3.45378	+	4.75372i	0.213375	+	0.293686i
$263$	4.34332	+	5.97807i	0.267821	+	0.368624i	0.921652	−	0.388016i	$-0.126840\pi$
$263$	4.34332	+	5.97807i	0.267821	+	0.368624i	−0.653832	+	0.756640i	$0.726840\pi$
$264$	1.96760	+	1.42954i	0.121097	+	0.0879823i
$265$	−1.11016	−	0.692486i	−0.0681967	−	0.0425391i
$266$	−2.29693	+	1.66881i	−0.140834	+	0.102322i
$267$	2.52229	+	0.819543i	0.154362	+	0.0501552i
$268$			0.340377i			0.0207918i
$269$	−0.730132	+	2.24712i	−0.0445169	+	0.137009i	−0.970845	−	0.239710i	$-0.922948\pi$
$269$	−0.730132	+	2.24712i	−0.0445169	+	0.137009i	0.926328	+	0.376719i	$0.122948\pi$
$270$	−6.67672	+	10.7038i	−0.406332	+	0.651413i
$271$	1.15866	+	3.56600i	0.0703837	+	0.216619i	0.980061	−	0.198697i	$-0.0636710\pi$
$271$	1.15866	+	3.56600i	0.0703837	+	0.216619i	−0.909677	+	0.415316i	$0.863671\pi$
$272$	2.76575	−	0.898647i	0.167698	−	0.0544885i
$273$	−6.71126	+	9.23726i	−0.406184	+	0.559065i
$274$	17.4136			1.05199
$275$	−5.92806	+	5.74281i	−0.357476	+	0.346305i
$276$	−1.60059			−0.0963442
$277$	−8.98586	+	12.3680i	−0.539908	+	0.743119i	−0.988600	−	0.150567i	$-0.951890\pi$
$277$	−8.98586	+	12.3680i	−0.539908	+	0.743119i	0.448692	+	0.893686i	$0.351890\pi$
$278$	−6.06793	+	1.97159i	−0.363930	+	0.118248i
$279$	0.0675194	+	0.207803i	0.00404228	+	0.0124409i
$280$	−5.88439	+	2.38286i	−0.351660	+	0.142403i
$281$	−4.26691	+	13.1322i	−0.254543	+	0.783401i	0.739377	+	0.673292i	$0.235120\pi$
$281$	−4.26691	+	13.1322i	−0.254543	+	0.783401i	−0.993919	+	0.110110i	$0.964880\pi$
$282$		−	11.9184i		−	0.709733i
$283$	−2.08575	−	0.677701i	−0.123985	−	0.0402851i	0.246367	−	0.969177i	$-0.420763\pi$
$283$	−2.08575	−	0.677701i	−0.123985	−	0.0402851i	−0.370352	+	0.928891i	$0.620763\pi$
$284$	5.03412	−	3.65750i	0.298720	−	0.217033i
$285$	2.52206	−	2.11966i	0.149394	−	0.125558i
$286$	3.64520	+	2.64839i	0.215545	+	0.156603i
$287$	6.73262	+	9.26666i	0.397414	+	0.546994i
$288$	0.487417	+	0.670872i	0.0287213	+	0.0395315i
$289$	−6.91147	−	5.02148i	−0.406557	−	0.295381i
$290$	−4.07769	−	10.0697i	−0.239450	−	0.591313i
$291$	7.94187	−	5.77011i	0.465561	−	0.338250i
$292$	−10.5146	−	3.41639i	−0.615319	−	0.199929i
$293$			7.66694i			0.447907i	0.974600	+	0.223954i	$0.0718964\pi$
$293$			7.66694i			0.447907i	−0.974600	+	0.223954i	$0.928104\pi$
$294$	0.482978	−	1.48645i	0.0281679	−	0.0866918i
$295$	0.980244	+	0.243579i	0.0570720	+	0.0141817i
$296$	−3.30283	−	10.1651i	−0.191973	−	0.590833i
$297$	−8.85723	+	2.87789i	−0.513949	+	0.166992i
$298$	3.31936	−	4.56871i	0.192286	−	0.264658i
$299$	−2.96528			−0.171486
$300$	6.61607	−	3.23984i	0.381979	−	0.187052i
$301$	−9.99806			−0.576279
$302$	−7.61680	+	10.4836i	−0.438298	+	0.603265i
$303$	13.5947	−	4.41717i	0.780992	−	0.253760i
$304$	−0.309017	−	0.951057i	−0.0177233	−	0.0545468i
$305$	1.97617	+	27.9428i	0.113155	+	1.60000i
$306$	−0.745198	+	2.29348i	−0.0426001	+	0.131110i
$307$		−	20.8853i		−	1.19199i	−0.802989	−	0.595994i	$-0.796758\pi$
$307$		−	20.8853i		−	1.19199i	0.802989	−	0.595994i	$-0.203242\pi$
$308$	−4.45727	−	1.44825i	−0.253977	−	0.0825220i
$309$	−0.985534	+	0.716032i	−0.0560651	+	0.0407337i
$310$	0.142084	−	0.571793i	0.00806981	−	0.0324756i
$311$	−7.06277	−	5.13140i	−0.400493	−	0.290975i	0.369249	−	0.929331i	$-0.379615\pi$
$311$	−7.06277	−	5.13140i	−0.400493	−	0.290975i	−0.769742	+	0.638355i	$0.779615\pi$
$312$	−2.36382	−	3.25352i	−0.133825	−	0.184194i
$313$	−10.9282	−	15.0413i	−0.617697	−	0.850186i	0.379486	−	0.925197i	$-0.376101\pi$
$313$	−10.9282	−	15.0413i	−0.617697	−	0.850186i	−0.997183	+	0.0750110i	$0.976101\pi$
$314$	3.76316	+	2.73409i	0.212367	+	0.154294i
$315$	1.26956	−	5.10912i	0.0715314	−	0.287866i
$316$	−4.91979	+	3.57444i	−0.276760	+	0.201078i
$317$	22.6139	+	7.34771i	1.27012	+	0.412689i	0.865092	−	0.501614i	$-0.167260\pi$
$317$	22.6139	+	7.34771i	1.27012	+	0.412689i	0.405033	+	0.914302i	$0.367260\pi$
$318$			0.862128i			0.0483457i
$319$	2.47833	−	7.62752i	0.138760	−	0.427059i
$320$	−0.157745	−	2.23050i	−0.00881819	−	0.124689i
$321$	−3.83561	−	11.8048i	−0.214083	−	0.658880i
$322$	2.93339	−	0.953117i	0.163472	−	0.0531152i
$323$	1.70933	−	2.35269i	0.0951096	−	0.130907i
$324$	5.82462			0.323590
$325$	12.2570	−	6.00217i	0.679897	−	0.332941i
$326$	6.22709			0.344887
$327$	−10.5768	+	14.5577i	−0.584897	+	0.805042i
$328$	−3.83692	+	1.24669i	−0.211858	+	0.0688369i
$329$	7.09718	+	21.8429i	0.391280	+	1.20424i
$330$	5.27780	+	1.31147i	0.290534	+	0.0721941i
$331$	6.55052	−	20.1604i	0.360049	−	1.10812i	−0.592974	−	0.805221i	$-0.702046\pi$
$331$	6.55052	−	20.1604i	0.360049	−	1.10812i	0.953024	−	0.302896i	$-0.0979536\pi$
$332$		−	14.5599i		−	0.799076i
$333$	8.42932	+	2.73885i	0.461924	+	0.150088i
$334$	3.38947	−	2.46259i	0.185464	−	0.134747i
$335$	0.285674	+	0.705460i	0.0156080	+	0.0385434i
$336$	3.38417	+	2.45875i	0.184622	+	0.134136i
$337$	2.75813	+	3.79623i	0.150245	+	0.206794i	0.877505	−	0.479568i	$-0.159207\pi$
$337$	2.75813	+	3.79623i	0.150245	+	0.206794i	−0.727260	+	0.686362i	$0.759207\pi$
$338$	3.26196	+	4.48970i	0.177427	+	0.244207i
$339$	21.2984	+	15.4742i	1.15677	+	0.840441i
$340$	4.97803	−	4.18378i	0.269972	−	0.226897i
$341$	0.351880	−	0.255656i	0.0190554	−	0.0138445i
$342$	0.788658	+	0.256250i	0.0426457	+	0.0138564i
$343$		−	16.8623i		−	0.910478i
$344$	1.08820	−	3.34913i	0.0586718	−	0.180573i
$345$	−3.31736	+	1.34335i	−0.178600	+	0.0723236i
$346$	6.77480	+	20.8507i	0.364216	+	1.12094i
$347$	−3.66821	+	1.19187i	−0.196920	+	0.0639831i	−0.405816	−	0.913955i	$-0.633013\pi$
$347$	−3.66821	+	1.19187i	−0.196920	+	0.0639831i	0.208897	+	0.977938i	$0.433013\pi$
$348$	−4.20754	+	5.79118i	−0.225548	+	0.310440i
$349$	15.5424			0.831966			0.415983	−	0.909372i	$-0.363438\pi$
$349$	15.5424			0.831966			0.415983	+	0.909372i	$0.363438\pi$
$350$	−10.1960	+	9.87736i	−0.544998	+	0.527967i
$351$	15.3996			0.821969
$352$	0.970268	−	1.33546i	0.0517155	−	0.0711802i
$353$	8.81675	−	2.86473i	0.469268	−	0.152474i	−0.0648311	−	0.997896i	$-0.520651\pi$
$353$	8.81675	−	2.86473i	0.469268	−	0.152474i	0.534099	+	0.845422i	$0.320651\pi$
$354$	−0.205659	−	0.632953i	−0.0109307	−	0.0336411i
$355$	7.36394	−	11.8055i	0.390837	−	0.626573i
$356$	0.556245	−	1.71195i	0.0294809	−	0.0907329i
$357$			12.1647i			0.643825i
$358$	−17.3154	−	5.62610i	−0.915145	−	0.297349i
$359$	−22.5679	+	16.3966i	−1.19109	+	0.865377i	−0.993379	−	0.114883i	$-0.963351\pi$
$359$	−22.5679	+	16.3966i	−1.19109	+	0.865377i	−0.197710	+	0.980260i	$0.563351\pi$
$360$	1.57327	+	0.981356i	0.0829184	+	0.0517220i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−9.62678	−	13.2501i	−0.505973	−	0.696411i
$363$	−7.16636	−	9.86365i	−0.376137	−	0.517708i
$364$	6.26957	+	4.55511i	0.328615	+	0.238753i
$365$	−24.6597	+	1.74397i	−1.29075	+	0.0912838i
$366$	14.9325	−	10.8491i	0.780533	−	0.567091i
$367$	16.3078	+	5.29871i	0.851258	+	0.276591i	0.701973	−	0.712204i	$-0.252303\pi$
$367$	16.3078	+	5.29871i	0.851258	+	0.276591i	0.149285	+	0.988794i	$0.452303\pi$
$368$			1.08636i			0.0566305i
$369$	1.03381	−	3.18174i	0.0538180	−	0.165635i
$370$	−15.3768	−	18.2959i	−0.799401	−	0.951160i
$371$	−0.513379	−	1.58002i	−0.0266533	−	0.0820305i
$372$	−0.369212	+	0.119964i	−0.0191428	+	0.00621986i
$373$	19.2467	−	26.4909i	0.996558	−	1.37164i	0.0691451	−	0.997607i	$-0.477973\pi$
$373$	19.2467	−	26.4909i	0.996558	−	1.37164i	0.927413	−	0.374038i	$-0.122027\pi$
$374$	4.80043			0.248224
$375$	10.9932	−	12.2676i	0.567686	−	0.633496i
$376$	−8.08936			−0.417177
$377$	−7.79495	+	10.7288i	−0.401460	+	0.552563i
$378$	−15.2340	+	4.94983i	−0.783553	+	0.254592i
$379$	−8.38071	−	25.7932i	−0.430488	−	1.32491i	−0.897640	−	0.440729i	$-0.854720\pi$
$379$	−8.38071	−	25.7932i	−0.430488	−	1.32491i	0.467152	−	0.884177i	$-0.345280\pi$
$380$	−1.43867	−	1.71179i	−0.0738023	−	0.0878130i
$381$	7.50234	−	23.0898i	0.384356	−	1.18293i
$382$			22.9888i			1.17621i
$383$	−18.7479	−	6.09155i	−0.957971	−	0.311264i	−0.212021	−	0.977265i	$-0.568004\pi$
$383$	−18.7479	−	6.09155i	−0.957971	−	0.311264i	−0.745950	+	0.666002i	$0.768004\pi$
$384$	−1.19196	+	0.866013i	−0.0608272	+	0.0441935i
$385$	−10.4536	+	0.739294i	−0.532763	+	0.0376779i
$386$	−1.07617	−	0.781881i	−0.0547755	−	0.0397967i
$387$	1.71643	+	2.36247i	0.0872512	+	0.120091i
$388$	−3.91632	−	5.39036i	−0.198821	−	0.273654i
$389$	4.39949	+	3.19642i	0.223063	+	0.162065i	0.693704	−	0.720260i	$-0.255977\pi$
$389$	4.39949	+	3.19642i	0.223063	+	0.162065i	−0.470641	+	0.882325i	$0.655977\pi$
$390$	−7.62985	−	4.75927i	−0.386353	−	0.240995i
$391$	−2.55587	+	1.85695i	−0.129256	+	0.0939100i
$392$	−1.00889	−	0.327810i	−0.0509569	−	0.0165569i
$393$		−	8.65727i		−	0.436702i
$394$	−2.00048	+	6.15685i	−0.100783	+	0.310178i
$395$	−7.19670	+	11.5374i	−0.362105	+	0.580511i
$396$	0.422997	+	1.30185i	0.0212564	+	0.0654205i
$397$	−9.05017	+	2.94058i	−0.454215	+	0.147583i	−0.527185	−	0.849751i	$-0.676752\pi$
$397$	−9.05017	+	2.94058i	−0.454215	+	0.147583i	0.0729695	+	0.997334i	$0.476752\pi$
$398$	4.43571	−	6.10523i	0.222342	−	0.306027i
$399$	4.18307			0.209415
$400$	−2.19896	−	4.49050i	−0.109948	−	0.224525i
$401$	24.4807			1.22251			0.611254	−	0.791434i	$-0.290665\pi$
$401$	24.4807			1.22251			0.611254	+	0.791434i	$0.290665\pi$
$402$	0.294771	−	0.405717i	0.0147018	−	0.0202353i
$403$	−0.684008	+	0.222248i	−0.0340728	+	0.0110709i
$404$	−2.99805	−	9.22704i	−0.149158	−	0.459063i
$405$	12.0720	−	4.88852i	0.599863	−	0.242913i
$406$	4.26261	−	13.1190i	0.211550	−	0.651084i
$407$		−	17.6432i		−	0.874540i
$408$	−4.07492	−	1.32402i	−0.201738	−	0.0655488i
$409$	−18.9346	+	13.7568i	−0.936255	+	0.680229i	−0.947516	−	0.319707i	$-0.896415\pi$
$409$	−18.9346	+	13.7568i	−0.936255	+	0.680229i	0.0112610	+	0.999937i	$0.496415\pi$
$410$	−6.90600	+	5.80414i	−0.341063	+	0.286646i
$411$	−20.7564	−	15.0804i	−1.02384	−	0.743861i
$412$	0.485990	+	0.668907i	0.0239430	+	0.0329547i
$413$	0.753820	+	1.03754i	0.0370931	+	0.0510542i
$414$	−0.728810	−	0.529512i	−0.0358191	−	0.0260241i
$415$	−12.2199	−	30.1765i	−0.599850	−	1.48131i
$416$	−2.20825	+	1.60439i	−0.108268	+	0.0786616i
$417$	8.94017	+	2.90484i	0.437802	+	0.142251i
$418$		−	1.65072i		−	0.0807393i
$419$	9.45197	−	29.0902i	0.461759	−	1.42115i	−0.401254	−	0.915967i	$-0.631426\pi$
$419$	9.45197	−	29.0902i	0.461759	−	1.42115i	0.863013	−	0.505182i	$-0.168574\pi$
$420$	9.07757	+	2.25567i	0.442940	+	0.110065i
$421$	−9.21995	−	28.3761i	−0.449353	−	1.38297i	−0.877639	−	0.479323i	$-0.840882\pi$
$421$	−9.21995	−	28.3761i	−0.449353	−	1.38297i	0.428286	−	0.903643i	$-0.359118\pi$
$422$	4.23024	−	1.37449i	0.205925	−	0.0669091i
$423$	3.94289	−	5.42692i	0.191710	−	0.263866i
$424$	0.585149			0.0284173
$425$	6.80599	−	12.8492i	0.330139	−	0.623278i
$426$	−9.16793			−0.444187
$427$	−20.9063	+	28.7750i	−1.01173	+	1.39252i
$428$	−8.01223	+	2.60333i	−0.387286	+	0.125837i
$429$	−2.05141	−	6.31358i	−0.0990428	−	0.304822i
$430$	−0.555496	−	7.85467i	−0.0267884	−	0.378786i
$431$	4.57348	−	14.0757i	0.220297	−	0.678003i	−0.778439	−	0.627721i	$-0.783988\pi$
$431$	4.57348	−	14.0757i	0.220297	−	0.678003i	0.998735	−	0.0502822i	$-0.0160121\pi$
$432$		−	5.64181i		−	0.271442i
$433$	0.882269	+	0.286666i	0.0423991	+	0.0137763i	0.330140	−	0.943932i	$-0.392904\pi$
$433$	0.882269	+	0.286666i	0.0423991	+	0.0137763i	−0.287741	+	0.957708i	$0.592904\pi$
$434$	0.605217	−	0.439716i	0.0290513	−	0.0211070i
$435$	−3.86002	+	15.5340i	−0.185074	+	0.744800i
$436$	9.88068	+	7.17873i	0.473199	+	0.343799i
$437$	0.638548	+	0.878885i	0.0305459	+	0.0420428i
$438$	9.57436	+	13.1780i	0.457481	+	0.629668i
$439$	10.3757	+	7.53839i	0.495205	+	0.359788i	0.807183	−	0.590302i	$-0.200991\pi$
$439$	10.3757	+	7.53839i	0.495205	+	0.359788i	−0.311977	+	0.950090i	$0.600991\pi$
$440$	0.890129	−	3.58218i	0.0424353	−	0.170774i
$441$	0.711671	−	0.517059i	0.0338891	−	0.0246219i
$442$	−7.54925	−	2.45290i	−0.359081	−	0.116673i
$443$		−	38.4202i		−	1.82540i	−0.408631	−	0.912700i	$-0.633994\pi$
$443$		−	38.4202i		−	1.82540i	0.408631	−	0.912700i	$-0.366006\pi$
$444$	−4.86622	+	14.9767i	−0.230941	+	0.710762i
$445$	−0.283948	−	4.01500i	−0.0134604	−	0.190329i
$446$	1.42069	+	4.37245i	0.0672718	+	0.207041i
$447$	−7.91313	+	2.57113i	−0.374278	+	0.121610i
$448$	1.66881	−	2.29693i	0.0788441	−	0.108520i
$449$	−12.0197			−0.567246			−0.283623	−	0.958936i	$-0.591536\pi$
$449$	−12.0197			−0.567246			−0.283623	+	0.958936i	$0.591536\pi$
$450$	4.08436	+	0.713523i	0.192539	+	0.0336358i
$451$	−6.65962			−0.313589
$452$	10.5027	−	14.4557i	0.494006	−	0.679941i
$453$	18.1579	−	5.89986i	0.853133	−	0.277200i
$454$	−3.27136	−	10.0682i	−0.153532	−	0.472524i
$455$	16.8172	+	4.17888i	0.788404	+	0.195909i
$456$	−0.455290	+	1.40124i	−0.0213209	+	0.0656190i
$457$		−	12.4618i		−	0.582939i	−0.956580	−	0.291470i	$-0.905856\pi$
$457$		−	12.4618i		−	0.582939i	0.956580	−	0.291470i	$-0.0941442\pi$
$458$	−13.3204	−	4.32806i	−0.622421	−	0.202237i
$459$	13.2734	−	9.64371i	0.619551	−	0.450130i
$460$	0.911768	+	2.25158i	0.0425114	+	0.104980i
$461$	18.0683	+	13.1274i	0.841523	+	0.611402i	0.922796	−	0.385290i	$-0.125898\pi$
$461$	18.0683	+	13.1274i	0.841523	+	0.611402i	−0.0812727	+	0.996692i	$0.525898\pi$
$462$	4.05870	+	5.58632i	0.188828	+	0.259899i
$463$	−16.6677	−	22.9411i	−0.774614	−	1.06617i	−0.995856	−	0.0909462i	$-0.971011\pi$
$463$	−16.6677	−	22.9411i	−0.774614	−	1.06617i	0.221241	−	0.975219i	$-0.428989\pi$
$464$	3.93063	+	2.85577i	0.182475	+	0.132576i
$465$	−0.664538	+	0.558510i	−0.0308172	+	0.0259003i
$466$	−21.1309	+	15.3525i	−0.978869	+	0.711190i
$467$	−25.8267	−	8.39159i	−1.19512	−	0.388317i	−0.357154	−	0.934046i	$-0.616253\pi$
$467$	−25.8267	−	8.39159i	−1.19512	−	0.388317i	−0.837962	+	0.545729i	$0.816253\pi$
$468$		−	2.26346i		−	0.104628i
$469$	−0.298629	+	0.919086i	−0.0137894	+	0.0424395i
$470$	−16.7659	+	6.78928i	−0.773351	+	0.313166i
$471$	−2.11779	−	6.51788i	−0.0975826	−	0.300328i
$472$	−0.429602	+	0.139586i	−0.0197740	+	0.00642497i
$473$	3.41679	−	4.70281i	0.157104	−	0.216235i
$474$	8.95972			0.411534
$475$	−4.41845	−	2.34037i	−0.202732	−	0.107384i
$476$	8.25651			0.378436
$477$	−0.285212	+	0.392560i	−0.0130589	+	0.0179741i
$478$	−1.90427	+	0.618734i	−0.0870992	+	0.0283003i
$479$	−10.4992	−	32.3132i	−0.479720	−	1.47643i	−0.839484	−	0.543384i	$-0.817143\pi$
$479$	−10.4992	−	32.3132i	−0.479720	−	1.47643i	0.359764	−	0.933043i	$-0.382857\pi$
$480$	−1.74361	+	2.79528i	−0.0795847	+	0.127587i
$481$	−9.01523	+	27.7460i	−0.411059	+	1.26511i
$482$		−	28.7339i		−	1.30879i
$483$	−4.32191	−	1.40427i	−0.196654	−	0.0638967i
$484$	−6.69472	+	4.86400i	−0.304305	+	0.221091i
$485$	−12.6410	−	7.88505i	−0.573996	−	0.358042i
$486$	6.75022	+	4.90432i	0.306196	+	0.222465i
$487$	14.2639	+	19.6325i	0.646358	+	0.889635i	0.998935	−	0.0461477i	$-0.0146945\pi$
$487$	14.2639	+	19.6325i	0.646358	+	0.889635i	−0.352577	+	0.935783i	$0.614694\pi$
$488$	−7.36356	−	10.1351i	−0.333333	−	0.458793i
$489$	−7.42247	−	5.39274i	−0.335656	−	0.243868i
$490$	−2.36614	+	0.167338i	−0.106892	+	0.00755955i
$491$	−20.3263	+	14.7679i	−0.917314	+	0.666467i	−0.942854	−	0.333206i	$-0.891869\pi$
$491$	−20.3263	+	14.7679i	−0.917314	+	0.666467i	0.0255403	+	0.999674i	$0.491869\pi$
$492$	5.65312	+	1.83681i	0.254862	+	0.0828097i
$493$			14.1290i			0.636338i
$494$	−0.843476	+	2.59595i	−0.0379498	+	0.116797i
$495$	1.96932	+	2.34318i	0.0885145	+	0.105318i
$496$	0.0814229	+	0.250594i	0.00365599	+	0.0112520i
$497$	16.8020	−	5.45931i	0.753673	−	0.244883i
$498$	−12.6090	+	17.3548i	−0.565024	+	0.777688i
$499$	11.8920			0.532357			0.266178	−	0.963924i	$-0.414239\pi$
$499$	11.8920			0.532357			0.266178	+	0.963924i	$0.414239\pi$
$500$	−8.32634	−	7.46137i	−0.372365	−	0.333683i
$501$	−6.17277			−0.275779
$502$	5.23400	−	7.20399i	0.233605	−	0.321530i
$503$	−37.0605	+	12.0417i	−1.65245	+	0.536913i	−0.979268	−	0.202567i	$-0.935072\pi$
$503$	−37.0605	+	12.0417i	−1.65245	+	0.536913i	−0.673179	+	0.739480i	$0.735072\pi$
$504$	0.727535	+	2.23912i	0.0324070	+	0.0997385i
$505$	−13.9578	−	16.6076i	−0.621115	−	0.739028i
$506$	−0.554153	+	1.70551i	−0.0246351	+	0.0758191i
$507$		−	8.17646i		−	0.363129i
$508$	−15.6717	−	5.09203i	−0.695317	−	0.225922i
$509$	−7.37156	+	5.35575i	−0.326738	+	0.237389i	−0.739045	−	0.673656i	$-0.764723\pi$
$509$	−7.37156	+	5.35575i	−0.326738	+	0.237389i	0.412307	+	0.911045i	$0.364723\pi$
$510$	−9.55684	+	0.675876i	−0.423184	+	0.0299283i
$511$	−25.3941	−	18.4499i	−1.12337	−	0.816175i
$512$	0.587785	+	0.809017i	0.0259767	+	0.0357538i
$513$	−3.31617	−	4.56432i	−0.146413	−	0.201520i
$514$	−7.48297	−	5.43670i	−0.330060	−	0.239802i
$515$	1.56866	+	0.978482i	0.0691233	+	0.0431171i
$516$	−4.19749	+	3.04965i	−0.184784	+	0.134253i
$517$	−12.6997	−	4.12638i	−0.558532	−	0.181478i
$518$		−	30.3454i		−	1.33330i
$519$	9.98165	−	30.7204i	0.438146	−	1.34847i
$520$	−3.23024	+	5.17858i	−0.141655	+	0.227096i
$521$	7.22327	+	22.2309i	0.316457	+	0.973955i	0.975150	+	0.221544i	$0.0711095\pi$
$521$	7.22327	+	22.2309i	0.316457	+	0.973955i	−0.658693	+	0.752412i	$0.728891\pi$
$522$	−3.83171	+	1.24500i	−0.167709	+	0.0544921i
$523$	12.7798	−	17.5898i	0.558820	−	0.769150i	−0.432356	−	0.901703i	$-0.642317\pi$
$523$	12.7798	−	17.5898i	0.558820	−	0.769150i	0.991176	+	0.132553i	$0.0423175\pi$
$524$	−5.87592			−0.256691
$525$	20.7072	−	2.94362i	0.903735	−	0.128470i
$526$	−7.38930			−0.322189
$527$	−0.450391	+	0.619910i	−0.0196193	+	0.0270037i
$528$	−2.31305	+	0.751555i	−0.100663	+	0.0327073i
$529$	6.74269	+	20.7519i	0.293161	+	0.902256i
$530$	1.21277	−	0.491107i	0.0526793	−	0.0213323i
$531$	0.115751	−	0.356245i	0.00502316	−	0.0154597i
$532$		−	2.83916i		−	0.123093i
$533$	10.4730	+	3.40290i	0.453638	+	0.147396i
$534$	−2.14559	+	1.55886i	−0.0928488	+	0.0674586i
$535$	−14.4211	+	12.1202i	−0.623477	+	0.524000i
$536$	−0.275371	−	0.200069i	−0.0118942	−	0.00864165i
$537$	15.7670	+	21.7014i	0.680397	+	0.936486i
$538$	−1.38879	−	1.91151i	−0.0598751	−	0.0824111i
$539$	−1.41668	−	1.02927i	−0.0610205	−	0.0443340i
$540$	−4.73509	−	11.6931i	−0.203766	−	0.503192i
$541$	−5.47674	+	3.97908i	−0.235463	+	0.171074i	−0.699260	−	0.714868i	$-0.746487\pi$
$541$	−5.47674	+	3.97908i	−0.235463	+	0.171074i	0.463796	+	0.885942i	$0.346487\pi$
$542$	−3.56600	−	1.15866i	−0.153173	−	0.0497688i
$543$			24.1306i			1.03554i
$544$	−0.898647	+	2.76575i	−0.0385292	+	0.118581i
$545$	26.5035	+	6.58581i	1.13529	+	0.282105i
$546$	−3.52832	−	10.8591i	−0.150998	−	0.464725i
$547$	26.5825	−	8.63717i	1.13658	−	0.369299i	0.320510	−	0.947245i	$-0.396146\pi$
$547$	26.5825	−	8.63717i	1.13658	−	0.369299i	0.816075	+	0.577947i	$0.196146\pi$
$548$	−10.2355	+	14.0879i	−0.437237	+	0.601805i
$549$	10.3885			0.443369
$550$	−1.16161	−	8.17144i	−0.0495311	−	0.348432i
$551$	4.85852			0.206980
$552$	0.940803	−	1.29490i	0.0400432	−	0.0551148i
$553$	−16.4204	+	5.33532i	−0.698268	+	0.226881i
$554$	−4.72414	−	14.5394i	−0.200710	−	0.617721i
$555$	2.48407	+	35.1246i	0.105443	+	1.49096i
$556$	1.97159	−	6.06793i	0.0836140	−	0.257337i
$557$		−	13.4411i		−	0.569516i	−0.958599	−	0.284758i	$-0.908087\pi$
$557$		−	13.4411i		−	0.569516i	0.958599	−	0.284758i	$-0.0919132\pi$
$558$	−0.207803	−	0.0675194i	−0.00879702	−	0.00285832i
$559$	−7.77633	+	5.64983i	−0.328904	+	0.238962i
$560$	1.53098	−	6.16118i	0.0646957	−	0.260357i
$561$	−5.72194	−	4.15723i	−0.241580	−	0.175518i
$562$	−8.11615	−	11.1709i	−0.342359	−	0.471217i
$563$	−6.10815	−	8.40715i	−0.257428	−	0.354319i	0.660667	−	0.750679i	$-0.270273\pi$
$563$	−6.10815	−	8.40715i	−0.257428	−	0.354319i	−0.918095	+	0.396359i	$0.870273\pi$
$564$	9.64222	+	7.00548i	0.406011	+	0.294984i
$565$	9.63525	−	38.7755i	0.405358	−	1.63130i
$566$	1.77424	−	1.28906i	0.0745770	−	0.0541834i
$567$	15.7276	+	5.11022i	0.660499	+	0.214609i
$568$			6.22251i			0.261091i
$569$	2.92096	−	8.98978i	0.122453	−	0.376871i	−0.870976	−	0.491326i	$-0.836512\pi$
$569$	2.92096	−	8.98978i	0.122453	−	0.376871i	0.993428	+	0.114455i	$0.0365123\pi$
$570$	0.232413	+	3.28630i	0.00973470	+	0.137648i
$571$	2.19949	+	6.76934i	0.0920458	+	0.283288i	0.986473	−	0.163927i	$-0.0524160\pi$
$571$	2.19949	+	6.76934i	0.0920458	+	0.283288i	−0.894427	+	0.447215i	$0.852416\pi$
$572$	−4.28519	+	1.39234i	−0.179173	+	0.0582168i
$573$	19.9086	−	27.4018i	0.831694	−	1.14473i
$574$	−11.4542			−0.478090
$575$	3.77943	+	3.90134i	0.157613	+	0.162697i
$576$	−0.829244			−0.0345518
$577$	−5.20831	+	7.16863i	−0.216825	+	0.298434i	−0.903549	−	0.428484i	$-0.859048\pi$
$577$	−5.20831	+	7.16863i	−0.216825	+	0.298434i	0.686724	+	0.726918i	$0.259048\pi$
$578$	8.12492	−	2.63995i	0.337952	−	0.109807i
$579$	0.605634	+	1.86395i	0.0251693	+	0.0774630i
$580$	10.5434	+	2.61990i	0.437789	+	0.108785i
$581$	12.7741	−	39.3145i	0.529957	−	1.63104i
$582$			9.81670i			0.406915i
$583$	0.918641	+	0.298484i	0.0380462	+	0.0123620i
$584$	8.94424	−	6.49837i	0.370115	−	0.268904i
$585$	−1.89969	−	4.69121i	−0.0785425	−	0.193958i
$586$	−6.20268	−	4.50651i	−0.256231	−	0.186162i
$587$	10.2705	+	14.1361i	0.423909	+	0.583460i	0.966542	−	0.256510i	$-0.0825725\pi$
$587$	10.2705	+	14.1361i	0.423909	+	0.583460i	−0.542633	+	0.839970i	$0.682573\pi$
$588$	0.918679	+	1.26445i	0.0378857	+	0.0521452i
$589$	0.213168	+	0.154875i	0.00878343	+	0.00638153i
$590$	−0.773233	+	0.649862i	−0.0318335	+	0.0267544i
$591$	7.71641	−	5.60630i	0.317411	−	0.230612i
$592$	10.1651	+	3.30283i	0.417782	+	0.135745i
$593$			41.5373i			1.70573i	0.522128	+	0.852867i	$0.325138\pi$
$593$			41.5373i			1.70573i	−0.522128	+	0.852867i	$0.674862\pi$
$594$	2.87789	−	8.85723i	0.118081	−	0.363417i
$595$	17.1123	−	6.92957i	0.701536	−	0.284085i
$596$	1.74509	+	5.37084i	0.0714818	+	0.219998i
$597$	−10.5744	+	3.43583i	−0.432782	+	0.140619i
$598$	1.74295	−	2.39896i	0.0712744	−	0.0981007i
$599$	10.0706			0.411472			0.205736	−	0.978608i	$-0.434041\pi$
$599$	10.0706			0.411472			0.205736	+	0.978608i	$0.434041\pi$
$600$	−1.26774	+	7.25684i	−0.0517554	+	0.296259i
$601$	32.3874			1.32111			0.660554	−	0.750778i	$-0.270321\pi$
$601$	32.3874			1.32111			0.660554	+	0.750778i	$0.270321\pi$
$602$	5.87671	−	8.08860i	0.239517	−	0.329667i
$603$	0.268441	−	0.0872218i	0.0109318	−	0.00355195i
$604$	−4.00439	−	12.3242i	−0.162936	−	0.501467i
$605$	−9.79308	+	15.6998i	−0.398145	+	0.638288i
$606$	−4.41717	+	13.5947i	−0.179435	+	0.552245i
$607$			28.6603i			1.16329i	0.813444	+	0.581643i	$0.197590\pi$
$607$			28.6603i			1.16329i	−0.813444	+	0.581643i	$0.802410\pi$
$608$	0.951057	+	0.309017i	0.0385704	+	0.0125323i
$609$	−16.4421	+	11.9459i	−0.666267	+	0.484071i
$610$	−23.7678	−	14.8256i	−0.962330	−	0.600272i
$611$	17.8633	+	12.9785i	0.722673	+	0.525052i
$612$	−1.41745	−	1.95095i	−0.0572970	−	0.0788626i
$613$	26.5225	+	36.5051i	1.07123	+	1.47443i	0.868820	+	0.495129i	$0.164879\pi$
$613$	26.5225	+	36.5051i	1.07123	+	1.47443i	0.202415	+	0.979300i	$0.435121\pi$
$614$	16.8966	+	12.2761i	0.681890	+	0.495422i
$615$	13.2582	−	0.937640i	0.534621	−	0.0378093i
$616$	3.79158	−	2.75474i	0.152767	−	0.110992i
$617$	−41.1354	−	13.3657i	−1.65605	−	0.538083i	−0.676010	−	0.736892i	$-0.736293\pi$
$617$	−41.1354	−	13.3657i	−1.65605	−	0.538083i	−0.980038	+	0.198809i	$0.936293\pi$
$618$		−	1.21819i		−	0.0490027i
$619$	12.6881	−	39.0499i	0.509977	−	1.56955i	−0.282263	−	0.959337i	$-0.591085\pi$
$619$	12.6881	−	39.0499i	0.509977	−	1.56955i	0.792240	−	0.610210i	$-0.208915\pi$
$620$	0.379075	+	0.451039i	0.0152240	+	0.0181142i
$621$	1.89398	+	5.82907i	0.0760028	+	0.233913i
$622$	8.30278	−	2.69774i	0.332911	−	0.108169i
$623$	3.00394	−	4.13457i	0.120350	−	0.165648i
$624$	4.02157			0.160992
$625$	−23.5193	−	8.47613i	−0.940770	−	0.339045i
$626$	18.5921			0.743090
$627$	−1.42954	+	1.96760i	−0.0570905	+	0.0785783i
$628$	−4.42386	+	1.43740i	−0.176531	+	0.0573584i
$629$	9.60491	+	29.5609i	0.382973	+	1.17867i
$630$	3.38714	+	4.03016i	0.134947	+	0.160565i
$631$	2.97388	−	9.15266i	0.118388	−	0.364362i	−0.874250	−	0.485475i	$-0.838647\pi$
$631$	2.97388	−	9.15266i	0.118388	−	0.364362i	0.992639	+	0.121114i	$0.0386466\pi$
$632$		−	6.08119i		−	0.241897i
$633$	−6.23263	−	2.02510i	−0.247725	−	0.0804906i
$634$	−19.2366	+	13.9762i	−0.763981	+	0.555065i
$635$	−36.7545	+	2.59934i	−1.45856	+	0.103152i
$636$	−0.697476	−	0.506746i	−0.0276567	−	0.0200938i
$637$	1.70196	+	2.34254i	0.0674340	+	0.0928150i
$638$	4.71407	+	6.48836i	0.186632	+	0.256877i
$639$	−4.17451	−	3.03296i	−0.165141	−	0.119982i
$640$	1.89723	+	1.18344i	0.0749946	+	0.0467794i
$641$	−4.87661	+	3.54306i	−0.192614	+	0.139943i	−0.679913	−	0.733293i	$-0.737982\pi$
$641$	−4.87661	+	3.54306i	−0.192614	+	0.139943i	0.487298	+	0.873235i	$0.337982\pi$
$642$	11.8048	+	3.83561i	0.465898	+	0.151380i
$643$		−	1.91748i		−	0.0756181i	−0.999285	−	0.0378090i	$-0.987962\pi$
$643$		−	1.91748i		−	0.0756181i	0.999285	−	0.0378090i	$-0.0120379\pi$
$644$	−0.953117	+	2.93339i	−0.0375581	+	0.115592i
$645$	−6.14011	+	9.84355i	−0.241767	+	0.387589i
$646$	0.898647	+	2.76575i	0.0353568	+	0.108817i
$647$	9.36784	−	3.04380i	0.368288	−	0.119664i	−0.119025	−	0.992891i	$-0.537977\pi$
$647$	9.36784	−	3.04380i	0.368288	−	0.119664i	0.487313	+	0.873227i	$0.337977\pi$
$648$	−3.42363	+	4.71222i	−0.134493	+	0.185113i
$649$	−0.745646			−0.0292692
$650$	−2.34864	+	13.4441i	−0.0921212	+	0.527322i
$651$	−1.10220			−0.0431985
$652$	−3.66019	+	5.03782i	−0.143344	+	0.197296i
$653$	26.5244	−	8.61832i	1.03798	−	0.337261i	0.260041	−	0.965598i	$-0.416264\pi$
$653$	26.5244	−	8.61832i	1.03798	−	0.337261i	0.777941	+	0.628337i	$0.216264\pi$
$654$	−5.56054	−	17.1136i	−0.217434	−	0.669194i
$655$	−12.1783	+	4.93157i	−0.475847	+	0.192692i
$656$	1.24669	−	3.83692i	0.0486751	−	0.149806i
$657$			9.16786i			0.357672i
$658$	−21.8429	−	7.09718i	−0.851524	−	0.276677i
$659$	−1.94908	+	1.41609i	−0.0759255	+	0.0551631i	−0.625101	−	0.780544i	$-0.714942\pi$
$659$	−1.94908	+	1.41609i	−0.0759255	+	0.0551631i	0.549175	+	0.835707i	$0.314942\pi$
$660$	−4.16322	+	3.49897i	−0.162053	+	0.136197i
$661$	−22.7001	−	16.4926i	−0.882930	−	0.641486i	0.0510950	−	0.998694i	$-0.483729\pi$
$661$	−22.7001	−	16.4926i	−0.882930	−	0.641486i	−0.934025	+	0.357208i	$0.883729\pi$
$662$	12.4598	+	17.1495i	0.484265	+	0.666534i
$663$	6.87419	+	9.46152i	0.266972	+	0.367455i
$664$	11.7792	+	8.55807i	0.457121	+	0.332117i
$665$	−2.38286	−	5.88439i	−0.0924035	−	0.228187i
$666$	−7.17041	+	5.20961i	−0.277848	+	0.201868i
$667$	−5.01978	−	1.63103i	−0.194367	−	0.0631536i
$668$			4.18962i			0.162101i
$669$	2.09318	−	6.44214i	0.0809270	−	0.249068i
$670$	−0.738644	−	0.183544i	−0.0285363	−	0.00709093i
$671$	−6.39035	−	19.6675i	−0.246697	−	0.759254i
$672$	−3.97833	+	1.29264i	−0.153468	+	0.0498646i
$673$	12.1239	−	16.6871i	0.467342	−	0.643241i	−0.508669	−	0.860962i	$-0.669862\pi$
$673$	12.1239	−	16.6871i	0.467342	−	0.643241i	0.976011	+	0.217721i	$0.0698623\pi$
$674$	−4.69240			−0.180745
$675$	−19.6277	−	20.2609i	−0.755472	−	0.779841i
$676$	−5.54957			−0.213445
$677$	16.4826	−	22.6864i	0.633478	−	0.871908i	−0.364768	−	0.931098i	$-0.618852\pi$
$677$	16.4826	−	22.6864i	0.633478	−	0.871908i	0.998247	+	0.0591901i	$0.0188518\pi$
$678$	−25.0377	+	8.13525i	−0.961568	+	0.312432i
$679$	−5.84563	−	17.9910i	−0.224335	−	0.690432i
$680$	0.458735	+	6.48647i	0.0175917	+	0.248745i
$681$	−4.81985	+	14.8340i	−0.184697	+	0.568439i
$682$			0.434948i			0.0166550i
$683$	17.3010	+	5.62144i	0.662005	+	0.215099i	0.620700	−	0.784048i	$-0.286848\pi$
$683$	17.3010	+	5.62144i	0.662005	+	0.215099i	0.0413051	+	0.999147i	$0.486848\pi$
$684$	−0.670872	+	0.487417i	−0.0256514	+	0.0186369i
$685$	−9.39006	+	37.7888i	−0.358776	+	1.44384i
$686$	13.6419	+	9.91140i	0.520849	+	0.378419i
$687$	12.1293	+	16.6945i	0.462761	+	0.636936i
$688$	2.06988	+	2.84894i	0.0789134	+	0.108615i
$689$	−1.29215	−	0.938805i	−0.0492272	−	0.0357656i
$690$	0.863098	−	3.47340i	0.0328576	−	0.132230i
$691$	18.4043	−	13.3715i	0.700132	−	0.508676i	−0.179843	−	0.983695i	$-0.557559\pi$
$691$	18.4043	−	13.3715i	0.700132	−	0.508676i	0.879975	+	0.475019i	$0.157559\pi$
$692$	−20.8507	−	6.77480i	−0.792625	−	0.257539i
$693$			3.88638i			0.147631i
$694$	1.19187	−	3.66821i	0.0452429	−	0.139243i
$695$	−1.00644	−	14.2310i	−0.0381765	−	0.539813i
$696$	−2.21204	−	6.80794i	−0.0838470	−	0.258054i
$697$	11.1581	−	3.62548i	0.422642	−	0.137325i
$698$	−9.13560	+	12.5741i	−0.345788	+	0.475936i
$699$	38.4827			1.45555
$700$	−1.99791	−	14.0545i	−0.0755138	−	0.531210i
$701$	−13.3918			−0.505803			−0.252902	−	0.967492i	$-0.581385\pi$
$701$	−13.3918			−0.505803			−0.252902	+	0.967492i	$0.581385\pi$
$702$	−9.05165	+	12.4585i	−0.341633	+	0.470217i
$703$	10.1651	−	3.30283i	0.383383	−	0.124569i
$704$	0.510100	+	1.56993i	0.0192251	+	0.0591688i
$705$	25.8639	+	6.42687i	0.974091	+	0.242050i
$706$	−2.86473	+	8.81675i	−0.107816	+	0.331823i
$707$		−	27.5452i		−	1.03594i
$708$	0.632953	+	0.205659i	0.0237878	+	0.00772914i
$709$	−12.8871	+	9.36303i	−0.483985	+	0.351636i	−0.802867	−	0.596159i	$-0.796693\pi$
$709$	−12.8871	+	9.36303i	−0.483985	+	0.351636i	0.318881	+	0.947795i	$0.396693\pi$
$710$	5.22246	+	12.8967i	0.195995	+	0.484003i
$711$	4.07970	+	2.96408i	0.153001	+	0.111162i
$712$	1.05804	+	1.45627i	0.0396518	+	0.0545760i
$713$	−0.168251	−	0.231577i	−0.00630104	−	0.00867264i
$714$	−9.84146	−	7.15024i	−0.368307	−	0.267591i
$715$	−7.71284	+	6.48224i	−0.288444	+	0.242422i
$716$	14.7293	−	10.7015i	0.550461	−	0.399933i
$717$	2.80565	+	0.911612i	0.104779	+	0.0340448i
$718$		−	27.8955i		−	1.04105i
$719$	−11.0242	+	33.9290i	−0.411133	+	1.26534i	0.504531	+	0.863393i	$0.331665\pi$
$719$	−11.0242	+	33.9290i	−0.411133	+	1.26534i	−0.915664	+	0.401944i	$0.868335\pi$
$720$	−1.71868	+	0.695972i	−0.0640513	+	0.0259374i
$721$	0.725404	+	2.23257i	0.0270155	+	0.0831451i
$722$	0.951057	−	0.309017i	0.0353947	−	0.0115004i
$723$	−24.8839	+	34.2498i	−0.925443	+	1.27376i
$724$	16.3781			0.608686
$725$	24.0508	−	3.41893i	0.893225	−	0.126976i
$726$	12.1921			0.452493
$727$	−21.6126	+	29.7471i	−0.801566	+	1.10326i	0.191005	+	0.981589i	$0.438825\pi$
$727$	−21.6126	+	29.7471i	−0.801566	+	1.10326i	−0.992570	+	0.121671i	$0.961175\pi$
$728$	−7.37032	+	2.39476i	−0.273162	+	0.0887558i
$729$	−9.19854	−	28.3102i	−0.340687	−	1.04853i
$730$	13.0837	−	20.9752i	0.484249	−	0.776326i
$731$	−3.16458	+	9.73956i	−0.117046	+	0.360231i
$732$			18.4576i			0.682211i
$733$	31.0751	+	10.0969i	1.14778	+	0.372937i	0.820308	−	0.571922i	$-0.193802\pi$
$733$	31.0751	+	10.0969i	1.14778	+	0.372937i	0.327476	+	0.944860i	$0.393802\pi$
$734$	−13.8722	+	10.0788i	−0.512033	+	0.372013i
$735$	2.96528	+	1.84965i	0.109376	+	0.0682254i
$736$	−0.878885	−	0.638548i	−0.0323961	−	0.0235372i
$737$	−0.330257	−	0.454560i	−0.0121652	−	0.0167439i
$738$	1.96642	+	2.70655i	0.0723850	+	0.0996295i
$739$	−36.8388	−	26.7650i	−1.35514	−	0.984565i	−0.998738	−	0.0502311i	$-0.984004\pi$
$739$	−36.8388	−	26.7650i	−1.35514	−	0.984565i	−0.356400	−	0.934334i	$-0.615996\pi$
$740$	23.8400	−	1.68600i	0.876374	−	0.0619787i
$741$	3.25352	−	2.36382i	0.119521	−	0.0868372i
$742$	1.58002	+	0.513379i	0.0580043	+	0.0188467i
$743$			18.7023i			0.686122i	0.939313	+	0.343061i	$0.111464\pi$
$743$			18.7023i			0.686122i	−0.939313	+	0.343061i	$0.888536\pi$
$744$	0.119964	−	0.369212i	0.00439810	−	0.0135360i
$745$	8.12452	+	9.66689i	0.297659	+	0.354167i
$746$	10.1186	+	31.1419i	0.370469	+	1.14019i
$747$	−11.4827	+	3.73097i	−0.420132	+	0.136509i
$748$	−2.82162	+	3.88363i	−0.103169	+	0.142000i
$749$	−23.9186			−0.873968
$750$	3.46306	+	16.1044i	0.126453	+	0.588050i
$751$	−18.8314			−0.687167			−0.343583	−	0.939122i	$-0.611641\pi$
$751$	−18.8314			−0.687167			−0.343583	+	0.939122i	$0.611641\pi$
$752$	4.75480	−	6.54443i	0.173390	−	0.238651i
$753$	−12.4775	+	4.05418i	−0.454705	+	0.147743i
$754$	−4.09805	−	12.6125i	−0.149242	−	0.459320i
$755$	−18.6430	−	22.1822i	−0.678488	−	0.807293i
$756$	4.94983	−	15.2340i	0.180024	−	0.554056i
$757$			1.81930i			0.0661237i	0.999453	+	0.0330618i	$0.0105258\pi$
$757$			1.81930i			0.0661237i	−0.999453	+	0.0330618i	$0.989474\pi$
$758$	25.7932	+	8.38071i	0.936850	+	0.304401i
$759$	2.13752	−	1.55300i	0.0775872	−	0.0563704i
$760$	2.23050	−	0.157745i	0.0809086	−	0.00572200i
$761$	−6.45431	−	4.68933i	−0.233969	−	0.169988i	0.464623	−	0.885508i	$-0.346190\pi$
$761$	−6.45431	−	4.68933i	−0.233969	−	0.169988i	−0.698592	+	0.715520i	$0.746190\pi$
$762$	14.2703	+	19.6414i	0.516958	+	0.711532i
$763$	20.3816	+	28.0528i	0.737862	+	1.01558i
$764$	−18.5983	−	13.5125i	−0.672865	−	0.488865i
$765$	−4.57519	−	2.85387i	−0.165416	−	0.103182i
$766$	15.9479	−	11.5868i	0.576220	−	0.418649i
$767$	1.17262	+	0.381007i	0.0423408	+	0.0137574i
$768$		−	1.47335i		−	0.0531649i
$769$	−13.3467	+	41.0768i	−0.481293	+	1.48127i	0.355987	+	0.934491i	$0.384145\pi$
$769$	−13.3467	+	41.0768i	−0.481293	+	1.48127i	−0.837279	+	0.546775i	$0.815855\pi$
$770$	5.54635	−	8.89165i	0.199876	−	0.320433i
$771$	4.21118	+	12.9607i	0.151662	+	0.466768i
$772$	1.26511	−	0.411059i	0.0455323	−	0.0147943i
$773$	−27.0526	+	37.2348i	−0.973016	+	1.33924i	−0.0325071	+	0.999472i	$0.510349\pi$
$773$	−27.0526	+	37.2348i	−0.973016	+	1.33924i	−0.940509	+	0.339770i	$0.889651\pi$
$774$	−2.92017			−0.104963
$775$	1.16422	+	0.616664i	0.0418199	+	0.0221512i
$776$	6.66285			0.239182
$777$	−26.2795	+	36.1707i	−0.942773	+	1.29762i
$778$	−5.17191	+	1.68046i	−0.185422	+	0.0602473i
$779$	−1.24669	−	3.83692i	−0.0446673	−	0.137472i
$780$	8.33505	−	3.37525i	0.298443	−	0.120853i
$781$	−3.17410	+	9.76888i	−0.113578	+	0.349558i
$782$		−	3.15923i		−	0.112974i
$783$	26.0693	+	8.47042i	0.931640	+	0.302708i
$784$	0.858217	−	0.623531i	0.0306506	−	0.0222690i
$785$	−7.96242	+	6.69201i	−0.284191	+	0.238848i
$786$	7.00388	+	5.08862i	0.249820	+	0.181505i
$787$	13.6445	+	18.7800i	0.486372	+	0.669434i	0.979714	−	0.200402i	$-0.0642247\pi$
$787$	13.6445	+	18.7800i	0.486372	+	0.669434i	−0.493342	+	0.869836i	$0.664225\pi$
$788$	−3.80514	−	5.23733i	−0.135553	−	0.186572i
$789$	8.80778	+	6.39923i	0.313565	+	0.227819i
$790$	−5.10386	−	12.6038i	−0.181587	−	0.448422i
$791$	41.0421	−	29.8189i	1.45929	−	1.06024i
$792$	−1.30185	−	0.422997i	−0.0462593	−	0.0150306i
$793$			34.1948i			1.21429i
$794$	2.94058	−	9.05017i	0.104357	−	0.321179i
$795$	−1.87088	−	0.464892i	−0.0663534	−	0.0164880i
$796$	2.33199	+	7.17712i	0.0826552	+	0.254386i
$797$	−27.7855	+	9.02807i	−0.984214	+	0.319791i	−0.756540	−	0.653947i	$-0.773112\pi$
$797$	−27.7855	+	9.02807i	−0.984214	+	0.319791i	−0.227674	+	0.973737i	$0.573112\pi$
$798$	−2.45875	+	3.38417i	−0.0870387	+	0.119798i
$799$	23.5245			0.832238
$800$	4.92541	+	0.860450i	0.174139	+	0.0304215i
$801$	−1.49268			−0.0527412
$802$	−14.3894	+	19.8053i	−0.508108	+	0.699350i
$803$	17.3566	−	5.63951i	0.612502	−	0.199014i
$804$	0.154970	+	0.476949i	0.00546538	+	0.0168207i
$805$	0.486540	+	6.87964i	0.0171483	+	0.242475i
$806$	0.222248	−	0.684008i	0.00782834	−	0.0240931i
$807$			3.48116i			0.122543i
$808$	9.22704	+	2.99805i	0.324606	+	0.105471i
$809$	−1.37706	+	1.00050i	−0.0484150	+	0.0351756i	−0.611730	−	0.791067i	$-0.709526\pi$
$809$	−1.37706	+	1.00050i	−0.0484150	+	0.0351756i	0.563315	+	0.826243i	$0.309526\pi$
$810$	−3.14086	+	12.6399i	−0.110358	+	0.444120i
$811$	−23.7322	−	17.2424i	−0.833349	−	0.605463i	0.0871560	−	0.996195i	$-0.472222\pi$
$811$	−23.7322	−	17.2424i	−0.833349	−	0.605463i	−0.920505	+	0.390731i	$0.872222\pi$
$812$	8.10797	+	11.1597i	0.284534	+	0.391628i
$813$	3.24712	+	4.46928i	0.113882	+	0.156745i
$814$	14.2736	+	10.3704i	0.500291	+	0.363483i
$815$	−3.35788	+	13.5133i	−0.117621	+	0.473349i
$816$	3.46633	−	2.51844i	0.121346	−	0.0881629i
$817$	3.34913	+	1.08820i	0.117171	+	0.0380713i
$818$		−	23.4044i		−	0.818317i
$819$	1.98584	−	6.11179i	0.0693909	−	0.213563i
$820$	−0.636401	−	8.99866i	−0.0222241	−	0.314247i
$821$	−8.14505	−	25.0679i	−0.284264	−	0.874875i	−0.986618	−	0.163047i	$-0.947868\pi$
$821$	−8.14505	−	25.0679i	−0.284264	−	0.874875i	0.702354	−	0.711828i	$-0.252132\pi$
$822$	24.4006	−	7.92823i	0.851068	−	0.276529i
$823$	−5.79965	+	7.98253i	−0.202163	+	0.278254i	−0.898046	−	0.439902i	$-0.855013\pi$
$823$	−5.79965	+	7.98253i	−0.202163	+	0.278254i	0.695883	+	0.718155i	$0.255013\pi$
$824$	−0.826815			−0.0288035
$825$	−5.69198	+	10.7460i	−0.198169	+	0.374129i
$826$	−1.28248			−0.0446230
$827$	−1.07087	+	1.47392i	−0.0372376	+	0.0512532i	−0.827230	−	0.561864i	$-0.810085\pi$
$827$	−1.07087	+	1.47392i	−0.0372376	+	0.0512532i	0.789992	+	0.613117i	$0.210085\pi$
$828$	0.856768	−	0.278381i	0.0297747	−	0.00967440i
$829$	−0.639786	−	1.96906i	−0.0222207	−	0.0683882i	0.939331	−	0.343011i	$-0.111447\pi$
$829$	−0.639786	−	1.96906i	−0.0222207	−	0.0683882i	−0.961552	+	0.274623i	$0.911447\pi$
$830$	31.5960	+	7.85122i	1.09671	+	0.272520i
$831$	−6.96031	+	21.4216i	−0.241451	+	0.743108i
$832$		−	2.72955i		−	0.0946300i
$833$	2.93395	+	0.953298i	0.101655	+	0.0330298i
$834$	−7.60496	+	5.52533i	−0.263338	+	0.191327i
$835$	3.51628	+	8.68333i	0.121686	+	0.300499i
$836$	1.33546	+	0.970268i	0.0461878	+	0.0335574i
$837$	0.873778	+	1.20265i	0.0302022	+	0.0415698i
$838$	17.9787	+	24.7456i	0.621065	+	0.854822i
$839$	−6.71122	−	4.87598i	−0.231697	−	0.168338i	0.465879	−	0.884848i	$-0.345738\pi$
$839$	−6.71122	−	4.87598i	−0.231697	−	0.168338i	−0.697576	+	0.716511i	$0.745738\pi$
$840$	−7.16054	+	6.01806i	−0.247062	+	0.207643i
$841$	4.36446	−	3.17096i	0.150499	−	0.109344i
$842$	28.3761	+	9.21995i	0.977905	+	0.317740i
$843$			20.3440i			0.700685i
$844$	−1.37449	+	4.23024i	−0.0473119	+	0.145611i
$845$	−11.5019	+	4.65768i	−0.395679	+	0.160229i
$846$	2.07290	+	6.37973i	0.0712678	+	0.219340i
$847$	−22.3445	+	7.26017i	−0.767766	+	0.249462i
$848$	−0.343942	+	0.473395i	−0.0118110	+	0.0162565i
$849$	−3.23118			−0.110894
$850$	6.39477	+	13.0587i	0.219339	+	0.447911i
$851$	−11.6112			−0.398028
$852$	5.38877	−	7.41701i	0.184616	−	0.254102i
$853$	−30.8237	+	10.0152i	−1.05538	+	0.342915i	−0.784779	−	0.619776i	$-0.787224\pi$
$853$	−30.8237	+	10.0152i	−1.05538	+	0.342915i	−0.270604	+	0.962691i	$0.587224\pi$
$854$	−10.9911	−	33.8271i	−0.376107	−	1.15754i
$855$	−0.981356	+	1.57327i	−0.0335617	+	0.0538046i
$856$	2.60333	−	8.01223i	0.0889800	−	0.273852i
$857$		−	18.7087i		−	0.639077i	−0.947573	−	0.319538i	$-0.896472\pi$
$857$		−	18.7087i		−	0.639077i	0.947573	−	0.319538i	$-0.103528\pi$
$858$	6.31358	+	2.05141i	0.215542	+	0.0700338i
$859$	17.5414	−	12.7445i	0.598503	−	0.434838i	−0.246844	−	0.969055i	$-0.579394\pi$
$859$	17.5414	−	12.7445i	0.598503	−	0.434838i	0.845347	+	0.534217i	$0.179394\pi$
$860$	6.68107	+	4.16745i	0.227823	+	0.142109i
$861$	13.6530	+	9.91950i	0.465294	+	0.338056i
$862$	8.69927	+	11.9735i	0.296298	+	0.407819i
$863$	−13.2802	−	18.2786i	−0.452062	−	0.622210i	0.520777	−	0.853693i	$-0.325642\pi$
$863$	−13.2802	−	18.2786i	−0.452062	−	0.622210i	−0.972839	+	0.231483i	$0.925642\pi$
$864$	4.56432	+	3.31617i	0.155281	+	0.112819i
$865$	−48.9008	+	3.45835i	−1.66268	+	0.117587i
$866$	−0.750503	+	0.545272i	−0.0255031	+	0.0185291i
$867$	−11.9708	−	3.88956i	−0.406551	−	0.132096i
$868$			0.748089i			0.0253918i
$869$	3.10202	−	9.54703i	0.105229	−	0.323861i
$870$	−10.2984	−	12.2535i	−0.349150	−	0.415433i
$871$	0.287100	+	0.883603i	0.00972802	+	0.0299398i
$872$	−11.6154	+	3.77408i	−0.393348	+	0.127807i
$873$	−3.24759	+	4.46992i	−0.109914	+	0.151284i
$874$	−1.08636			−0.0367467
$875$	−15.9366	−	27.4523i	−0.538754	−	0.928057i
$876$	−16.2889			−0.550350
$877$	20.2469	−	27.8675i	0.683689	−	0.941017i	−0.316282	−	0.948665i	$-0.602434\pi$
$877$	20.2469	−	27.8675i	0.683689	−	0.941017i	0.999971	+	0.00764807i	$0.00243448\pi$
$878$	−12.1974	+	3.96316i	−0.411641	+	0.133750i
$879$	3.49068	+	10.7432i	0.117738	+	0.362359i
$880$	2.37484	+	2.82568i	0.0800559	+	0.0952538i
$881$	1.17644	−	3.62072i	0.0396353	−	0.121985i	−0.929281	−	0.369373i	$-0.879572\pi$
$881$	1.17644	−	3.62072i	0.0396353	−	0.121985i	0.968916	+	0.247388i	$0.0795723\pi$
$882$			0.879674i			0.0296202i
$883$	−36.0635	−	11.7178i	−1.21364	−	0.394334i	−0.368875	−	0.929479i	$-0.620257\pi$
$883$	−36.0635	−	11.7178i	−1.21364	−	0.394334i	−0.844760	+	0.535145i	$0.820257\pi$
$884$	6.42178	−	4.66569i	0.215988	−	0.156924i
$885$	1.48445	−	0.104983i	0.0498994	−	0.00352897i
$886$	31.0826	+	22.5828i	1.04424	+	0.758685i
$887$	12.3864	+	17.0485i	0.415896	+	0.572432i	0.964644	−	0.263556i	$-0.0848954\pi$
$887$	12.3864	+	17.0485i	0.415896	+	0.572432i	−0.548748	+	0.835988i	$0.684895\pi$
$888$	−9.25610	−	12.7399i	−0.310614	−	0.427524i
$889$	−37.8491	−	27.4990i	−1.26942	−	0.922287i
$890$	3.41510	+	2.13024i	0.114474	+	0.0714057i
$891$	−7.77855	+	5.65145i	−0.260591	+	0.189331i
$892$	−4.37245	−	1.42069i	−0.146400	−	0.0475684i
$893$		−	8.08936i		−	0.270700i
$894$	2.57113	−	7.91313i	0.0859915	−	0.264655i
$895$	21.5461	−	34.5418i	0.720208	−	1.15461i
$896$	0.877348	+	2.70020i	0.0293101	+	0.0902073i
$897$	−4.15506	+	1.35006i	−0.138733	+	0.0450772i
$898$	7.06501	−	9.72416i	0.235763	−	0.324499i
$899$	−1.28017			−0.0426961
$900$	−2.97798	+	2.88492i	−0.0992660	+	0.0961640i
$901$	−1.70166			−0.0566906
$902$	3.91442	−	5.38774i	0.130336	−	0.179392i
$903$	−14.0097	+	4.55201i	−0.466212	+	0.151482i
$904$	5.52161	+	16.9938i	0.183646	+	0.565204i
$905$	33.9449	−	13.7459i	1.12837	−	0.456928i
$906$	−5.89986	+	18.1579i	−0.196010	+	0.603256i
$907$			26.4434i			0.878037i	0.898478	+	0.439019i	$0.144674\pi$
$907$			26.4434i			0.878037i	−0.898478	+	0.439019i	$0.855326\pi$
$908$	10.0682	+	3.27136i	0.334125	+	0.108564i
$909$	−6.50873	+	4.72887i	−0.215881	+	0.156847i
$910$	−13.2657	+	11.1491i	−0.439754	+	0.369591i
$911$	40.9526	+	29.7538i	1.35682	+	0.985787i	0.998640	+	0.0521345i	$0.0166025\pi$
$911$	40.9526	+	29.7538i	1.35682	+	0.985787i	0.358180	+	0.933653i	$0.383398\pi$
$912$	−0.866013	−	1.19196i	−0.0286765	−	0.0394699i
$913$	14.1270	+	19.4441i	0.467534	+	0.643506i
$914$	10.0818	+	7.32487i	0.333477	+	0.242285i
$915$	15.4912	+	38.2548i	0.512122	+	1.26467i
$916$	11.3310	−	8.23246i	0.374387	−	0.272008i
$917$	−15.8661	−	5.15522i	−0.523946	−	0.170240i
$918$			16.4069i			0.541507i
$919$	−3.24707	+	9.99347i	−0.107111	+	0.329654i	−0.990220	−	0.139514i	$-0.955446\pi$
$919$	−3.24707	+	9.99347i	−0.107111	+	0.329654i	0.883109	+	0.469168i	$0.155446\pi$
$920$	−2.35749	−	0.585807i	−0.0777240	−	0.0193135i
$921$	−9.50887	−	29.2653i	−0.313328	−	0.964324i
$922$	−21.2405	+	6.90146i	−0.699519	+	0.227288i
$923$	9.98332	−	13.7409i	0.328605	−	0.452286i
$924$	−6.90507			−0.227160
$925$	47.9953	−	23.5029i	1.57807	−	0.772771i
$926$	28.3568			0.931863
$927$	0.403004	−	0.554687i	0.0132364	−	0.0182183i
$928$	−4.62073	+	1.50137i	−0.151683	+	0.0492847i
$929$	−13.5847	−	41.8094i	−0.445700	−	1.37172i	−0.881714	−	0.471784i	$-0.843610\pi$
$929$	−13.5847	−	41.8094i	−0.445700	−	1.37172i	0.436014	−	0.899940i	$-0.356390\pi$
$930$	−0.0612384	−	0.865907i	−0.00200809	−	0.0283942i
$931$	0.327810	−	1.00889i	0.0107435	−	0.0330652i
$932$		−	26.1192i		−	0.855563i
$933$	−12.2329	−	3.97471i	−0.400487	−	0.130126i
$934$	21.9695	−	15.9618i	0.718863	−	0.522285i
$935$	−2.58857	+	10.4173i	−0.0846553	+	0.340682i
$936$	1.83118	+	1.33043i	0.0598539	+	0.0434864i
$937$	−5.15349	−	7.09317i	−0.168357	−	0.231724i	0.716499	−	0.697588i	$-0.245743\pi$
$937$	−5.15349	−	7.09317i	−0.168357	−	0.231724i	−0.884856	+	0.465864i	$0.845743\pi$
$938$	−0.568026	−	0.781821i	−0.0185467	−	0.0255274i
$939$	−22.1611	−	16.1010i	−0.723201	−	0.525436i
$940$	4.36208	−	17.5545i	0.142275	−	0.572565i
$941$	20.1799	−	14.6615i	0.657845	−	0.477953i	−0.208089	−	0.978110i	$-0.566724\pi$
$941$	20.1799	−	14.6615i	0.657845	−	0.477953i	0.865935	+	0.500157i	$0.166724\pi$
$942$	6.51788	+	2.11779i	0.212364	+	0.0690013i
$943$			4.38279i			0.142723i
$944$	0.139586	−	0.429602i	0.00454314	−	0.0139823i
$945$	−2.52675	−	35.7281i	−0.0821952	−	1.16223i
$946$	1.79631	+	5.52848i	0.0584031	+	0.179746i
$947$	−7.04937	+	2.29048i	−0.229074	+	0.0744306i	−0.421305	−	0.906919i	$-0.638428\pi$
$947$	−7.04937	+	2.29048i	−0.229074	+	0.0744306i	0.192231	+	0.981350i	$0.438428\pi$
$948$	−5.26639	+	7.24856i	−0.171044	+	0.235422i
$949$	−30.1770			−0.979587
$950$	4.49050	−	2.19896i	0.145691	−	0.0713438i
$951$	35.0328			1.13602
$952$	−4.85305	+	6.67966i	−0.157288	+	0.216489i
$953$	34.9065	−	11.3418i	1.13073	−	0.367397i	0.316877	−	0.948467i	$-0.397366\pi$
$953$	34.9065	−	11.3418i	1.13073	−	0.367397i	0.813854	+	0.581070i	$0.197366\pi$
$954$	−0.149945	−	0.461482i	−0.00485464	−	0.0149410i
$955$	−49.8875	−	12.3964i	−1.61432	−	0.401139i
$956$	0.618734	−	1.90427i	0.0200113	−	0.0615885i
$957$		−	11.8163i		−	0.381968i
$958$	32.3132	+	10.4992i	1.04399	+	0.339213i
$959$	−39.9978	+	29.0601i	−1.29159	+	0.938399i
$960$	−1.23656	−	3.05364i	−0.0399098	−	0.0985557i
$961$	25.0234	+	18.1805i	0.807205	+	0.586469i
$962$	−17.1480	−	23.6022i	−0.552873	−	0.760965i
$963$	4.10627	+	5.65180i	0.132323	+	0.182127i
$964$	23.2462	+	16.8894i	0.748710	+	0.543970i
$965$	2.27705	−	1.91374i	0.0733008	−	0.0616056i
$966$	3.67644	−	2.67109i	0.118287	−	0.0859409i
$967$	14.2133	+	4.61820i	0.457070	+	0.148511i	0.528498	−	0.848935i	$-0.322755\pi$
$967$	14.2133	+	4.61820i	0.457070	+	0.148511i	−0.0714275	+	0.997446i	$0.522755\pi$
$968$		−	8.27513i		−	0.265973i
$969$	1.32402	−	4.07492i	0.0425337	−	0.130905i
$970$	13.8093	−	5.59203i	0.443390	−	0.179549i
$971$	−0.147178	−	0.452968i	−0.00472318	−	0.0145364i	0.948667	−	0.316276i	$-0.102433\pi$
$971$	−0.147178	−	0.452968i	−0.00472318	−	0.0145364i	−0.953390	+	0.301740i	$0.902433\pi$
$972$	−7.93536	+	2.57835i	−0.254527	+	0.0827008i
$973$	10.6474	−	14.6548i	0.341339	−	0.469813i
$974$	−24.2671			−0.777570
$975$	14.4423	−	13.9910i	0.462523	−	0.448070i
$976$	12.5276			0.401000
$977$	−19.0485	+	26.2181i	−0.609417	+	0.838790i	−0.996529	−	0.0832421i	$-0.973473\pi$
$977$	−19.0485	+	26.2181i	−0.609417	+	0.838790i	0.387112	+	0.922032i	$0.373473\pi$
$978$	8.72564	−	2.83513i	0.279015	−	0.0906575i
$979$	0.918204	+	2.82594i	0.0293459	+	0.0903175i
$980$	1.25541	−	2.01261i	0.0401025	−	0.0642905i
$981$	3.12964	−	9.63203i	0.0999216	−	0.307527i
$982$		−	25.1247i		−	0.801761i
$983$	−48.0254	−	15.6044i	−1.53177	−	0.497703i	−0.582679	−	0.812702i	$-0.697996\pi$
$983$	−48.0254	−	15.6044i	−1.53177	−	0.497703i	−0.949092	+	0.314999i	$0.897996\pi$
$984$	−4.80883	+	3.49382i	−0.153300	+	0.111379i
$985$	−12.2821	−	7.66120i	−0.391340	−	0.244106i
$986$	−11.4306	−	8.30481i	−0.364024	−	0.264479i
$987$	19.8897	+	27.3758i	0.633095	+	0.871381i
$988$	−1.60439	−	2.20825i	−0.0510424	−	0.0702538i
$989$	−3.09498	−	2.24864i	−0.0984148	−	0.0715025i
$990$	−3.05321	+	0.215928i	−0.0970374	+	0.00686266i
$991$	44.5140	−	32.3413i	1.41403	−	1.02735i	0.421312	−	0.906916i	$-0.361570\pi$
$991$	44.5140	−	32.3413i	1.41403	−	1.02735i	0.992721	−	0.120439i	$-0.0384302\pi$
$992$	−0.250594	−	0.0814229i	−0.00795636	−	0.00258518i
$993$		−	31.2319i		−	0.991116i
$994$	−5.45931	+	16.8020i	−0.173159	+	0.532928i
$995$	10.8569	+	12.9180i	0.344187	+	0.409528i
$996$	−6.62895	−	20.4018i	−0.210046	−	0.646456i
$997$	5.45920	−	1.77380i	0.172895	−	0.0561769i	−0.221290	−	0.975208i	$-0.571027\pi$
$997$	5.45920	−	1.77380i	0.172895	−	0.0561769i	0.394185	+	0.919031i	$0.371027\pi$
$998$	−6.98991	+	9.62079i	−0.221262	+	0.304541i
$999$	60.3007			1.90783

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.609.10	yes	96
25.14	even	10	inner	950.2.n.b.39.10	✓	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.10	✓	96	25.14	even	10	inner
950.2.n.b.609.10	yes	96	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(-0.587785 + 0.809017i) q^{2} +(1.40124 - 0.455290i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-1.43867 - 1.71179i) q^{5} +(-0.455290 + 1.40124i) q^{6} -2.83916i q^{7} +(0.951057 + 0.309017i) q^{8} +(-0.670872 + 0.487417i) q^{9} +O(q^{10})\)	\(q+(-0.587785 + 0.809017i) q^{2} +(1.40124 - 0.455290i) q^{3} +(-0.309017 - 0.951057i) q^{4} +(-1.43867 - 1.71179i) q^{5} +(-0.455290 + 1.40124i) q^{6} -2.83916i q^{7} +(0.951057 + 0.309017i) q^{8} +(-0.670872 + 0.487417i) q^{9} +(2.23050 - 0.157745i) q^{10} +(1.33546 + 0.970268i) q^{11} +(-0.866013 - 1.19196i) q^{12} +(-1.60439 - 2.20825i) q^{13} +(2.29693 + 1.66881i) q^{14} +(-2.79528 - 1.74361i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-2.76575 - 0.898647i) q^{17} -0.829244i q^{18} +(-0.309017 + 0.951057i) q^{19} +(-1.18344 + 1.89723i) q^{20} +(-1.29264 - 3.97833i) q^{21} +(-1.56993 + 0.510100i) q^{22} +(0.638548 - 0.878885i) q^{23} +1.47335 q^{24} +(-0.860450 + 4.92541i) q^{25} +2.72955 q^{26} +(-3.31617 + 4.56432i) q^{27} +(-2.70020 + 0.877348i) q^{28} +(-1.50137 - 4.62073i) q^{29} +(3.05364 - 1.23656i) q^{30} +(0.0814229 - 0.250594i) q^{31} -1.00000i q^{32} +(2.31305 + 0.751555i) q^{33} +(2.35269 - 1.70933i) q^{34} +(-4.86004 + 4.08461i) q^{35} +(0.670872 + 0.487417i) q^{36} +(-6.28236 - 8.64692i) q^{37} +(-0.587785 - 0.809017i) q^{38} +(-3.25352 - 2.36382i) q^{39} +(-0.839285 - 2.07258i) q^{40} +(-3.26388 + 2.37135i) q^{41} +(3.97833 + 1.29264i) q^{42} -3.52149i q^{43} +(0.510100 - 1.56993i) q^{44} +(1.79952 + 0.447159i) q^{45} +(0.335704 + 1.03319i) q^{46} +(-7.69343 + 2.49975i) q^{47} +(-0.866013 + 1.19196i) q^{48} -1.06081 q^{49} +(-3.47898 - 3.59120i) q^{50} -4.28462 q^{51} +(-1.60439 + 2.20825i) q^{52} +(0.556510 - 0.180821i) q^{53} +(-1.74342 - 5.36568i) q^{54} +(-0.260392 - 3.68192i) q^{55} +(0.877348 - 2.70020i) q^{56} +1.47335i q^{57} +(4.62073 + 1.50137i) q^{58} +(-0.365441 + 0.265508i) q^{59} +(-0.794485 + 3.19728i) q^{60} +(-10.1351 - 7.36356i) q^{61} +(0.154875 + 0.213168i) q^{62} +(1.38385 + 1.90471i) q^{63} +(0.809017 + 0.587785i) q^{64} +(-1.47187 + 5.92332i) q^{65} +(-1.96760 + 1.42954i) q^{66} +(-0.323718 - 0.105182i) q^{67} +2.90808i q^{68} +(0.494610 - 1.52225i) q^{69} +(-0.447862 - 6.33273i) q^{70} +(1.92286 + 5.91796i) q^{71} +(-0.788658 + 0.256250i) q^{72} +(6.49837 - 8.94424i) q^{73} +10.6882 q^{74} +(1.03679 + 7.29342i) q^{75} +1.00000 q^{76} +(2.75474 - 3.79158i) q^{77} +(3.82474 - 1.24273i) q^{78} +(-1.87919 - 5.78356i) q^{79} +(2.17007 + 0.539237i) q^{80} +(-1.79991 + 5.53955i) q^{81} -4.03437i q^{82} +(13.8472 + 4.49924i) q^{83} +(-3.38417 + 2.45875i) q^{84} +(2.44071 + 6.02724i) q^{85} +(2.84894 + 2.06988i) q^{86} +(-4.20754 - 5.79118i) q^{87} +(0.970268 + 1.33546i) q^{88} +(1.45627 + 1.05804i) q^{89} +(-1.41949 + 1.19301i) q^{90} +(-6.26957 + 4.55511i) q^{91} +(-1.03319 - 0.335704i) q^{92} -0.388213i q^{93} +(2.49975 - 7.69343i) q^{94} +(2.07258 - 0.839285i) q^{95} +(-0.455290 - 1.40124i) q^{96} +(6.33674 - 2.05893i) q^{97} +(0.623531 - 0.858217i) q^{98} -1.36885 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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