LMFDB - Embedded newform 260.2.j.a.31.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(31,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 0, 3]))

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

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

chi := DirichletCharacter("260.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.j (of order $4$, degree $2$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$28$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			31.14
Character	$\chi$	$=$	260.31
Dual form			260.2.j.a.151.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0374414 + 1.41372i) q^{2} -1.74175i q^{3} +(-1.99720 + 0.105863i) q^{4} +(-0.707107 + 0.707107i) q^{5} +(2.46234 - 0.0652137i) q^{6} +(2.26642 - 2.26642i) q^{7} +(-0.224439 - 2.81951i) q^{8} -0.0336953 q^{9} +O(q^{10})$	\(q+(0.0374414 + 1.41372i) q^{2} -1.74175i q^{3} +(-1.99720 + 0.105863i) q^{4} +(-0.707107 + 0.707107i) q^{5} +(2.46234 - 0.0652137i) q^{6} +(2.26642 - 2.26642i) q^{7} +(-0.224439 - 2.81951i) q^{8} -0.0336953 q^{9} +(-1.02612 - 0.973174i) q^{10} +(1.59814 - 1.59814i) q^{11} +(0.184387 + 3.47862i) q^{12} +(-0.802125 - 3.51520i) q^{13} +(3.28893 + 3.11922i) q^{14} +(1.23160 + 1.23160i) q^{15} +(3.97759 - 0.422860i) q^{16} +2.66821i q^{17} +(-0.00126160 - 0.0476357i) q^{18} +(1.15916 + 1.15916i) q^{19} +(1.33737 - 1.48709i) q^{20} +(-3.94753 - 3.94753i) q^{21} +(2.31915 + 2.19948i) q^{22} +6.60293 q^{23} +(-4.91088 + 0.390916i) q^{24} -1.00000i q^{25} +(4.93946 - 1.26559i) q^{26} -5.16656i q^{27} +(-4.28655 + 4.76641i) q^{28} -4.10480 q^{29} +(-1.69503 + 1.78725i) q^{30} +(-2.23464 - 2.23464i) q^{31} +(0.746731 + 5.60735i) q^{32} +(-2.78355 - 2.78355i) q^{33} +(-3.77210 + 0.0999017i) q^{34} +3.20520i q^{35} +(0.0672962 - 0.00356710i) q^{36} +(1.73673 + 1.73673i) q^{37} +(-1.59533 + 1.68213i) q^{38} +(-6.12259 + 1.39710i) q^{39} +(2.15240 + 1.83499i) q^{40} +(-8.52565 + 8.52565i) q^{41} +(5.43289 - 5.72850i) q^{42} -8.27355 q^{43} +(-3.02261 + 3.36098i) q^{44} +(0.0238262 - 0.0238262i) q^{45} +(0.247223 + 9.33467i) q^{46} +(0.0921897 - 0.0921897i) q^{47} +(-0.736516 - 6.92796i) q^{48} -3.27328i q^{49} +(1.41372 - 0.0374414i) q^{50} +4.64736 q^{51} +(1.97413 + 6.93562i) q^{52} +12.0006 q^{53} +(7.30406 - 0.193444i) q^{54} +2.26011i q^{55} +(-6.89885 - 5.88151i) q^{56} +(2.01898 - 2.01898i) q^{57} +(-0.153690 - 5.80304i) q^{58} +(-8.17489 + 8.17489i) q^{59} +(-2.59014 - 2.32937i) q^{60} +0.324404 q^{61} +(3.07548 - 3.24282i) q^{62} +(-0.0763676 + 0.0763676i) q^{63} +(-7.89925 + 1.26561i) q^{64} +(3.05281 + 1.91843i) q^{65} +(3.83094 - 4.03938i) q^{66} +(-4.81749 - 4.81749i) q^{67} +(-0.282466 - 5.32894i) q^{68} -11.5007i q^{69} +(-4.53124 + 0.120007i) q^{70} +(0.303597 + 0.303597i) q^{71} +(0.00756254 + 0.0950042i) q^{72} +(6.07038 + 6.07038i) q^{73} +(-2.39022 + 2.52027i) q^{74} -1.74175 q^{75} +(-2.43779 - 2.19237i) q^{76} -7.24408i q^{77} +(-2.20435 - 8.60331i) q^{78} -6.79738i q^{79} +(-2.51357 + 3.11158i) q^{80} -9.09995 q^{81} +(-12.3721 - 11.7336i) q^{82} +(6.51285 + 6.51285i) q^{83} +(8.30189 + 7.46610i) q^{84} +(-1.88671 - 1.88671i) q^{85} +(-0.309774 - 11.6965i) q^{86} +7.14955i q^{87} +(-4.86464 - 4.14727i) q^{88} +(11.7278 + 11.7278i) q^{89} +(0.0345756 + 0.0327914i) q^{90} +(-9.78484 - 6.14895i) q^{91} +(-13.1873 + 0.699007i) q^{92} +(-3.89218 + 3.89218i) q^{93} +(0.133782 + 0.126879i) q^{94} -1.63931 q^{95} +(9.76661 - 1.30062i) q^{96} +(-5.65621 + 5.65621i) q^{97} +(4.62750 - 0.122557i) q^{98} +(-0.0538497 + 0.0538497i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9}+O(q^{10}) $ 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9	$ 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9} + 16 q^{14} - 12 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{24} - 16 q^{26} - 44 q^{28} + 40 q^{32} - 4 q^{34} + 16 q^{37} + 8 q^{41} + 8 q^{42} + 28 q^{44} - 12 q^{46} + 104 q^{48} + 56 q^{52} - 16 q^{53} + 20 q^{54} - 48 q^{57} - 4 q^{58} + 16 q^{61} - 8 q^{65} + 64 q^{66} + 24 q^{68} - 8 q^{70} - 32 q^{72} + 48 q^{73} - 136 q^{74} - 88 q^{76} + 52 q^{78} - 32 q^{80} + 56 q^{81} - 20 q^{84} - 64 q^{86} - 8 q^{89} - 88 q^{92} - 48 q^{93} - 16 q^{94} - 4 q^{96} - 32 q^{97} + 16 q^{98}+O(q^{100}) $ 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9 + 16 * q^14 - 12 * q^18 - 8 * q^20 - 16 * q^21 - 40 * q^24 - 16 * q^26 - 44 * q^28 + 40 * q^32 - 4 * q^34 + 16 * q^37 + 8 * q^41 + 8 * q^42 + 28 * q^44 - 12 * q^46 + 104 * q^48 + 56 * q^52 - 16 * q^53 + 20 * q^54 - 48 * q^57 - 4 * q^58 + 16 * q^61 - 8 * q^65 + 64 * q^66 + 24 * q^68 - 8 * q^70 - 32 * q^72 + 48 * q^73 - 136 * q^74 - 88 * q^76 + 52 * q^78 - 32 * q^80 + 56 * q^81 - 20 * q^84 - 64 * q^86 - 8 * q^89 - 88 * q^92 - 48 * q^93 - 16 * q^94 - 4 * q^96 - 32 * q^97 + 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$1$

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 $

$2$	0.0374414	+	1.41372i	0.0264751	+	0.999649i
$2$	0.0374414	+	1.41372i	0.0264751	+	0.999649i
$3$		−	1.74175i		−	1.00560i	−0.864403	−	0.502800i	$-0.832303\pi$
$3$		−	1.74175i		−	1.00560i	0.864403	−	0.502800i	$-0.167697\pi$
$4$	−1.99720	+	0.105863i	−0.998598	+	0.0529316i
$5$	−0.707107	+	0.707107i	−0.316228	+	0.316228i
$5$	−0.707107	+	0.707107i	−0.316228	+	0.316228i
$6$	2.46234	−	0.0652137i	1.00525	−	0.0266234i
$7$	2.26642	−	2.26642i	0.856625	−	0.856625i	−0.134314	−	0.990939i	$-0.542883\pi$
$7$	2.26642	−	2.26642i	0.856625	−	0.856625i	0.990939	+	0.134314i	$0.0428831\pi$
$8$	−0.224439	−	2.81951i	−0.0793511	−	0.996847i
$9$	−0.0336953			−0.0112318
$10$	−1.02612	−	0.973174i	−0.324489	−	0.307745i
$11$	1.59814	−	1.59814i	0.481856	−	0.481856i	−0.423868	−	0.905724i	$-0.639328\pi$
$11$	1.59814	−	1.59814i	0.481856	−	0.481856i	0.905724	+	0.423868i	$0.139328\pi$
$12$	0.184387	+	3.47862i	0.0532281	+	1.00419i
$13$	−0.802125	−	3.51520i	−0.222469	−	0.974940i
$13$	−0.802125	−	3.51520i	−0.222469	−	0.974940i
$14$	3.28893	+	3.11922i	0.879004	+	0.833645i
$15$	1.23160	+	1.23160i	0.317999	+	0.317999i
$16$	3.97759	−	0.422860i	0.994396	−	0.105715i
$17$			2.66821i			0.647136i	0.946205	+	0.323568i	$0.104883\pi$
$17$			2.66821i			0.647136i	−0.946205	+	0.323568i	$0.895117\pi$
$18$	−0.00126160	−	0.0476357i	−0.000297362	−	0.0112278i
$19$	1.15916	+	1.15916i	0.265931	+	0.265931i	0.827458	−	0.561528i	$-0.189786\pi$
$19$	1.15916	+	1.15916i	0.265931	+	0.265931i	−0.561528	+	0.827458i	$0.689786\pi$
$20$	1.33737	−	1.48709i	0.299046	−	0.332523i
$21$	−3.94753	−	3.94753i	−0.861422	−	0.861422i
$22$	2.31915	+	2.19948i	0.494444	+	0.468930i
$23$	6.60293			1.37681			0.688403	−	0.725329i	$-0.258312\pi$
$23$	6.60293			1.37681			0.688403	+	0.725329i	$0.258312\pi$
$24$	−4.91088	+	0.390916i	−1.00243	+	0.0797955i
$25$		−	1.00000i		−	0.200000i
$26$	4.93946	−	1.26559i	0.968708	−	0.248203i
$27$		−	5.16656i		−	0.994306i
$28$	−4.28655	+	4.76641i	−0.810081	+	0.900766i
$29$	−4.10480			−0.762243			−0.381122	−	0.924525i	$-0.624462\pi$
$29$	−4.10480			−0.762243			−0.381122	+	0.924525i	$0.624462\pi$
$30$	−1.69503	+	1.78725i	−0.309468	+	0.326306i
$31$	−2.23464	−	2.23464i	−0.401353	−	0.401353i	0.477357	−	0.878710i	$-0.341595\pi$
$31$	−2.23464	−	2.23464i	−0.401353	−	0.401353i	−0.878710	+	0.477357i	$0.841595\pi$
$32$	0.746731	+	5.60735i	0.132005	+	0.991249i
$33$	−2.78355	−	2.78355i	−0.484555	−	0.484555i
$34$	−3.77210	+	0.0999017i	−0.646910	+	0.0171330i
$35$			3.20520i			0.541777i
$36$	0.0672962	−	0.00356710i	0.0112160	−	0.000594516i
$37$	1.73673	+	1.73673i	0.285516	+	0.285516i	0.835304	−	0.549788i	$-0.185291\pi$
$37$	1.73673	+	1.73673i	0.285516	+	0.285516i	−0.549788	+	0.835304i	$0.685291\pi$
$38$	−1.59533	+	1.68213i	−0.258797	+	0.272878i
$39$	−6.12259	+	1.39710i	−0.980400	+	0.223715i
$40$	2.15240	+	1.83499i	0.340324	+	0.290138i
$41$	−8.52565	+	8.52565i	−1.33148	+	1.33148i	−0.427438	+	0.904045i	$0.640584\pi$
$41$	−8.52565	+	8.52565i	−1.33148	+	1.33148i	−0.904045	+	0.427438i	$0.859416\pi$
$42$	5.43289	−	5.72850i	0.838314	−	0.883926i
$43$	−8.27355			−1.26170			−0.630852	−	0.775903i	$-0.717295\pi$
$43$	−8.27355			−1.26170			−0.630852	+	0.775903i	$0.717295\pi$
$44$	−3.02261	+	3.36098i	−0.455675	+	0.506686i
$45$	0.0238262	−	0.0238262i	0.00355180	−	0.00355180i
$46$	0.247223	+	9.33467i	0.0364511	+	1.37632i
$47$	0.0921897	−	0.0921897i	0.0134472	−	0.0134472i	−0.700351	−	0.713798i	$-0.746973\pi$
$47$	0.0921897	−	0.0921897i	0.0134472	−	0.0134472i	0.713798	+	0.700351i	$0.246973\pi$
$48$	−0.736516	−	6.92796i	−0.106307	−	0.999965i
$49$		−	3.27328i		−	0.467612i
$50$	1.41372	−	0.0374414i	0.199930	−	0.00529502i
$51$	4.64736			0.650761
$52$	1.97413	+	6.93562i	0.273763	+	0.961797i
$53$	12.0006			1.64841			0.824206	−	0.566290i	$-0.191622\pi$
$53$	12.0006			1.64841			0.824206	+	0.566290i	$0.191622\pi$
$54$	7.30406	−	0.193444i	0.993957	−	0.0263243i
$55$			2.26011i			0.304753i
$56$	−6.89885	−	5.88151i	−0.921898	−	0.785950i
$57$	2.01898	−	2.01898i	0.267420	−	0.267420i
$58$	−0.153690	−	5.80304i	−0.0201805	−	0.761976i
$59$	−8.17489	+	8.17489i	−1.06428	+	1.06428i	−0.0664931	+	0.997787i	$0.521181\pi$
$59$	−8.17489	+	8.17489i	−1.06428	+	1.06428i	−0.997787	+	0.0664931i	$0.978819\pi$
$60$	−2.59014	−	2.32937i	−0.334385	−	0.300721i
$61$	0.324404			0.0415356			0.0207678	−	0.999784i	$-0.493389\pi$
$61$	0.324404			0.0415356			0.0207678	+	0.999784i	$0.493389\pi$
$62$	3.07548	−	3.24282i	0.390586	−	0.411838i
$63$	−0.0763676	+	0.0763676i	−0.00962142	+	0.00962142i
$64$	−7.89925	+	1.26561i	−0.987407	+	0.158202i
$65$	3.05281	+	1.91843i	0.378654	+	0.237952i
$66$	3.83094	−	4.03938i	0.471556	−	0.497213i
$67$	−4.81749	−	4.81749i	−0.588550	−	0.588550i	0.348689	−	0.937239i	$-0.386627\pi$
$67$	−4.81749	−	4.81749i	−0.588550	−	0.588550i	−0.937239	+	0.348689i	$0.886627\pi$
$68$	−0.282466	−	5.32894i	−0.0342540	−	0.646229i
$69$		−	11.5007i		−	1.38452i
$70$	−4.53124	+	0.120007i	−0.541587	+	0.0143436i
$71$	0.303597	+	0.303597i	0.0360304	+	0.0360304i	0.724892	−	0.688862i	$-0.241889\pi$
$71$	0.303597	+	0.303597i	0.0360304	+	0.0360304i	−0.688862	+	0.724892i	$0.741889\pi$
$72$	0.00756254	+	0.0950042i	0.000891253	+	0.0111964i
$73$	6.07038	+	6.07038i	0.710485	+	0.710485i	0.966637	−	0.256152i	$-0.0824547\pi$
$73$	6.07038	+	6.07038i	0.710485	+	0.710485i	−0.256152	+	0.966637i	$0.582455\pi$
$74$	−2.39022	+	2.52027i	−0.277857	+	0.292975i
$75$	−1.74175			−0.201120
$76$	−2.43779	−	2.19237i	−0.279634	−	0.251482i
$77$		−	7.24408i		−	0.825540i
$78$	−2.20435	−	8.60331i	−0.249593	−	0.974133i
$79$		−	6.79738i		−	0.764765i	−0.924004	−	0.382383i	$-0.875104\pi$
$79$		−	6.79738i		−	0.764765i	0.924004	−	0.382383i	$-0.124896\pi$
$80$	−2.51357	+	3.11158i	−0.281026	+	0.347886i
$81$	−9.09995			−1.01111
$82$	−12.3721	−	11.7336i	−1.36627	−	1.29576i
$83$	6.51285	+	6.51285i	0.714878	+	0.714878i	0.967552	−	0.252674i	$-0.0813099\pi$
$83$	6.51285	+	6.51285i	0.714878	+	0.714878i	−0.252674	+	0.967552i	$0.581310\pi$
$84$	8.30189	+	7.46610i	0.905811	+	0.814618i
$85$	−1.88671	−	1.88671i	−0.204643	−	0.204643i
$86$	−0.309774	−	11.6965i	−0.0334037	−	1.26126i
$87$			7.14955i			0.766512i
$88$	−4.86464	−	4.14727i	−0.518573	−	0.442101i
$89$	11.7278	+	11.7278i	1.24314	+	1.24314i	0.958692	+	0.284448i	$0.0918102\pi$
$89$	11.7278	+	11.7278i	1.24314	+	1.24314i	0.284448	+	0.958692i	$0.408190\pi$
$90$	0.0345756	+	0.0327914i	0.00364459	+	0.00345652i
$91$	−9.78484	−	6.14895i	−1.02573	−	0.644585i
$92$	−13.1873	+	0.699007i	−1.37488	+	0.0728766i
$93$	−3.89218	+	3.89218i	−0.403601	+	0.403601i
$94$	0.133782	+	0.126879i	0.0137986	+	0.0130865i
$95$	−1.63931			−0.168189
$96$	9.76661	−	1.30062i	0.996800	−	0.132744i
$97$	−5.65621	+	5.65621i	−0.574301	+	0.574301i	−0.933327	−	0.359027i	$-0.883109\pi$
$97$	−5.65621	+	5.65621i	−0.574301	+	0.574301i	0.359027	+	0.933327i	$0.383109\pi$
$98$	4.62750	−	0.122557i	0.467448	−	0.0123801i
$99$	−0.0538497	+	0.0538497i	−0.00541210	+	0.00541210i
$100$	0.105863	+	1.99720i	0.0105863	+	0.199720i
$101$			3.67474i			0.365651i	0.983145	+	0.182825i	$0.0585243\pi$
$101$			3.67474i			0.365651i	−0.983145	+	0.182825i	$0.941476\pi$
$102$	0.174004	+	6.57006i	0.0172290	+	0.650532i
$103$	11.1740			1.10101			0.550503	−	0.834833i	$-0.314436\pi$
$103$	11.1740			1.10101			0.550503	+	0.834833i	$0.314436\pi$
$104$	−9.73109	+	3.05054i	−0.954212	+	0.299130i
$105$	5.58265			0.544811
$106$	0.449321	+	16.9655i	0.0436419	+	1.64783i
$107$		−	4.97288i		−	0.480746i	−0.970681	−	0.240373i	$-0.922730\pi$
$107$		−	4.97288i		−	0.480746i	0.970681	−	0.240373i	$-0.0772698\pi$
$108$	0.546949	+	10.3186i	0.0526302	+	0.992912i
$109$	5.15389	−	5.15389i	0.493653	−	0.493653i	−0.415802	−	0.909455i	$-0.636499\pi$
$109$	5.15389	−	5.15389i	0.493653	−	0.493653i	0.909455	+	0.415802i	$0.136499\pi$
$110$	−3.19515	+	0.0846216i	−0.304646	+	0.00806836i
$111$	3.02495	−	3.02495i	0.287115	−	0.287115i
$112$	8.05649	−	9.97324i	0.761267	−	0.942383i
$113$	19.5213			1.83641			0.918204	−	0.396108i	$-0.129639\pi$
$113$	19.5213			1.83641			0.918204	+	0.396108i	$0.129639\pi$
$114$	2.92985	+	2.77867i	0.274406	+	0.260246i
$115$	−4.66897	+	4.66897i	−0.435384	+	0.435384i
$116$	8.19810	−	0.434548i	0.761175	−	0.0403468i
$117$	0.0270278	+	0.118446i	0.00249873	+	0.0109503i
$118$	−11.8631	−	11.2509i	−1.09208	−	1.03573i
$119$	6.04728	+	6.04728i	0.554353	+	0.554353i
$120$	3.19610	−	3.74894i	0.291762	−	0.342230i
$121$			5.89192i			0.535629i
$122$	0.0121461	+	0.458615i	0.00109966	+	0.0415211i
$123$	14.8496	+	14.8496i	1.33894	+	1.33894i
$124$	4.69958	+	4.22645i	0.422035	+	0.379546i
$125$	0.707107	+	0.707107i	0.0632456	+	0.0632456i
$126$	−0.110822	−	0.105103i	−0.00987277	−	0.00936332i
$127$	5.90768			0.524222			0.262111	−	0.965038i	$-0.415581\pi$
$127$	5.90768			0.524222			0.262111	+	0.965038i	$0.415581\pi$
$128$	−2.08498	−	11.1199i	−0.184288	−	0.982872i
$129$			14.4105i			1.26877i
$130$	−2.59782	+	4.38764i	−0.227844	+	0.384821i
$131$		−	12.5382i		−	1.09547i	−0.836651	−	0.547736i	$-0.815490\pi$
$131$		−	12.5382i		−	1.09547i	0.836651	−	0.547736i	$-0.184510\pi$
$132$	5.85398	+	5.26463i	0.509524	+	0.458227i
$133$	5.25430			0.455605
$134$	6.63019	−	6.99094i	0.572762	−	0.603925i
$135$	3.65331	+	3.65331i	0.314427	+	0.314427i
$136$	7.52305	−	0.598850i	0.645096	−	0.0513510i
$137$	−5.79801	−	5.79801i	−0.495357	−	0.495357i	0.414632	−	0.909989i	$-0.363910\pi$
$137$	−5.79801	−	5.79801i	−0.495357	−	0.495357i	−0.909989	+	0.414632i	$0.863910\pi$
$138$	16.2587	−	0.430601i	1.38403	−	0.0366552i
$139$			17.2729i			1.46507i	0.680731	+	0.732533i	$0.261662\pi$
$139$			17.2729i			1.46507i	−0.680731	+	0.732533i	$0.738338\pi$
$140$	−0.339313	−	6.40141i	−0.0286772	−	0.541018i
$141$	−0.160571	−	0.160571i	−0.0135226	−	0.0135226i
$142$	−0.417834	+	0.440568i	−0.0350638	+	0.0369717i
$143$	−6.89966	−	4.33586i	−0.576979	−	0.362582i
$144$	−0.134026	+	0.0142484i	−0.0111688	+	0.00118737i
$145$	2.90254	−	2.90254i	0.241042	−	0.241042i
$146$	−8.35453	+	8.80909i	−0.691425	+	0.729046i
$147$	−5.70125			−0.470231
$148$	−3.65244	−	3.28473i	−0.300229	−	0.270003i
$149$	−11.1511	+	11.1511i	−0.913538	+	0.913538i	−0.996549	−	0.0830109i	$-0.973546\pi$
$149$	−11.1511	+	11.1511i	−0.913538	+	0.913538i	0.0830109	+	0.996549i	$0.473546\pi$
$150$	−0.0652137	−	2.46234i	−0.00532467	−	0.201050i
$151$	−0.342003	+	0.342003i	−0.0278318	+	0.0278318i	−0.720886	−	0.693054i	$-0.756265\pi$
$151$	−0.342003	+	0.342003i	−0.0278318	+	0.0278318i	0.693054	+	0.720886i	$0.256265\pi$
$152$	3.00811	−	3.52843i	0.243990	−	0.286194i
$153$		−	0.0899063i		−	0.00726849i
$154$	10.2411	−	0.271229i	0.825251	−	0.0218563i
$155$	3.16026			0.253838
$156$	12.0801	−	3.43844i	0.967184	−	0.275296i
$157$	−23.1929			−1.85100			−0.925498	−	0.378753i	$-0.876353\pi$
$157$	−23.1929			−1.85100			−0.925498	+	0.378753i	$0.876353\pi$
$158$	9.60958	−	0.254504i	0.764497	−	0.0202472i
$159$		−	20.9021i		−	1.65764i
$160$	−4.49301	−	3.43698i	−0.355204	−	0.271717i
$161$	14.9650	−	14.9650i	1.17941	−	1.17941i
$162$	−0.340715	−	12.8648i	−0.0267691	−	1.01075i
$163$	−13.3797	+	13.3797i	−1.04798	+	1.04798i	−0.0491895	+	0.998789i	$0.515664\pi$
$163$	−13.3797	+	13.3797i	−1.04798	+	1.04798i	−0.998789	+	0.0491895i	$0.984336\pi$
$164$	16.1248	−	17.9299i	1.25914	−	1.40009i
$165$	3.93654			0.306459
$166$	−8.96348	+	9.45118i	−0.695701	+	0.733554i
$167$	−14.2333	+	14.2333i	−1.10141	+	1.10141i	−0.107167	+	0.994241i	$0.534178\pi$
$167$	−14.2333	+	14.2333i	−1.10141	+	1.10141i	−0.994241	+	0.107167i	$0.965822\pi$
$168$	−10.2441	+	12.0161i	−0.790351	+	0.927061i
$169$	−11.7132	+	5.63925i	−0.901015	+	0.433788i
$170$	2.59664	−	2.73792i	0.199153	−	0.209989i
$171$	−0.0390584	−	0.0390584i	−0.00298687	−	0.00298687i
$172$	16.5239	−	0.875865i	1.25994	−	0.0667841i
$173$		−	0.148781i		−	0.0113116i	−0.999984	−	0.00565582i	$-0.998200\pi$
$173$		−	0.148781i		−	0.0113116i	0.999984	−	0.00565582i	$-0.00180031\pi$
$174$	−10.1074	+	0.267689i	−0.766243	+	0.0202935i
$175$	−2.26642	−	2.26642i	−0.171325	−	0.171325i
$176$	5.68094	−	7.03251i	0.428217	−	0.530095i
$177$	14.2386	+	14.2386i	1.07024	+	1.07024i
$178$	−16.1406	+	17.0188i	−1.20979	+	1.27562i
$179$	10.0381			0.750284			0.375142	−	0.926967i	$-0.377594\pi$
$179$	10.0381			0.750284			0.375142	+	0.926967i	$0.377594\pi$
$180$	−0.0450633	+	0.0501079i	−0.00335882	+	0.00373482i
$181$		−	12.5627i		−	0.933778i	−0.884316	−	0.466889i	$-0.845375\pi$
$181$		−	12.5627i		−	0.933778i	0.884316	−	0.466889i	$-0.154625\pi$
$182$	8.32652	−	14.0632i	0.617203	−	1.04244i
$183$		−	0.565030i		−	0.0417682i
$184$	−1.48195	−	18.6170i	−0.109251	−	1.37246i
$185$	−2.45610			−0.180576
$186$	−5.64818	−	5.35672i	−0.414144	−	0.392774i
$187$	4.26417	+	4.26417i	0.311827	+	0.311827i
$188$	−0.174361	+	0.193880i	−0.0127166	+	0.0141402i
$189$	−11.7096	−	11.7096i	−0.851747	−	0.851747i
$190$	−0.0613780	−	2.31752i	−0.00445283	−	0.168130i
$191$			2.49716i			0.180688i	0.995911	+	0.0903439i	$0.0287966\pi$
$191$			2.49716i			0.180688i	−0.995911	+	0.0903439i	$0.971203\pi$
$192$	2.20438	+	13.7585i	0.159088	+	0.992936i
$193$	−14.6915	−	14.6915i	−1.05752	−	1.05752i	−0.998242	−	0.0592746i	$-0.981121\pi$
$193$	−14.6915	−	14.6915i	−1.05752	−	1.05752i	−0.0592746	−	0.998242i	$-0.518879\pi$
$194$	−8.20806	−	7.78450i	−0.589304	−	0.558895i
$195$	3.34143	−	5.31723i	0.239285	−	0.380775i
$196$	0.346521	+	6.53739i	0.0247515	+	0.466957i
$197$	13.6209	−	13.6209i	0.970450	−	0.970450i	−0.0291254	−	0.999576i	$-0.509272\pi$
$197$	13.6209	−	13.6209i	0.970450	−	0.970450i	0.999576	+	0.0291254i	$0.00927222\pi$
$198$	−0.0781445	−	0.0741121i	−0.00555349	−	0.00526692i
$199$	6.78411			0.480913			0.240456	−	0.970660i	$-0.422703\pi$
$199$	6.78411			0.480913			0.240456	+	0.970660i	$0.422703\pi$
$200$	−2.81951	+	0.224439i	−0.199369	+	0.0158702i
$201$	−8.39086	+	8.39086i	−0.591846	+	0.591846i
$202$	−5.19505	+	0.137588i	−0.365522	+	0.00968064i
$203$	−9.30320	+	9.30320i	−0.652956	+	0.652956i
$204$	−9.28169	+	0.491985i	−0.649848	+	0.0344458i
$205$		−	12.0571i		−	0.842103i
$206$	0.418371	+	15.7969i	0.0291493	+	1.10062i
$207$	−0.222488			−0.0154640
$208$	−4.67695	−	13.6428i	−0.324288	−	0.945958i
$209$	3.70500			0.256281
$210$	0.209023	+	7.89230i	0.0144239	+	0.544620i
$211$		−	18.6094i		−	1.28112i	−0.767907	−	0.640562i	$-0.778702\pi$
$211$		−	18.6094i		−	1.28112i	0.767907	−	0.640562i	$-0.221298\pi$
$212$	−23.9676	+	1.27043i	−1.64610	+	0.0872532i
$213$	0.528791	−	0.528791i	0.0362322	−	0.0362322i
$214$	7.03025	−	0.186192i	0.480578	−	0.0127278i
$215$	5.85028	−	5.85028i	0.398986	−	0.398986i
$216$	−14.5672	+	1.15958i	−0.991170	+	0.0788992i
$217$	−10.1292			−0.687618
$218$	7.47911	+	7.09317i	0.506549	+	0.480410i
$219$	10.5731	−	10.5731i	0.714464	−	0.714464i
$220$	−0.239262	−	4.51388i	−0.0161311	−	0.304325i
$221$	9.37929	−	2.14024i	0.630919	−	0.143968i
$222$	4.38968	+	4.16316i	0.294616	+	0.279413i
$223$	−10.2948	−	10.2948i	−0.689390	−	0.689390i	0.272707	−	0.962097i	$-0.412081\pi$
$223$	−10.2948	−	10.2948i	−0.689390	−	0.689390i	−0.962097	+	0.272707i	$0.912081\pi$
$224$	14.4010	+	11.0162i	0.962207	+	0.736050i
$225$			0.0336953i			0.00224635i
$226$	0.730905	+	27.5976i	0.0486191	+	1.83576i
$227$	−8.79374	−	8.79374i	−0.583661	−	0.583661i	0.352246	−	0.935907i	$-0.385418\pi$
$227$	−8.79374	−	8.79374i	−0.583661	−	0.583661i	−0.935907	+	0.352246i	$0.885418\pi$
$228$	−3.81855	+	4.24603i	−0.252890	+	0.281200i
$229$	7.70788	+	7.70788i	0.509351	+	0.509351i	0.914327	−	0.404976i	$-0.132720\pi$
$229$	7.70788	+	7.70788i	0.509351	+	0.509351i	−0.404976	+	0.914327i	$0.632720\pi$
$230$	−6.77543	−	6.42580i	−0.446758	−	0.423705i
$231$	−12.6174			−0.830163
$232$	0.921277	+	11.5735i	0.0604848	+	0.759840i
$233$		−	0.758703i		−	0.0497043i	−0.999691	−	0.0248521i	$-0.992089\pi$
$233$		−	0.758703i		−	0.0497043i	0.999691	−	0.0248521i	$-0.00791150\pi$
$234$	−0.166437	+	0.0426445i	−0.0108803	+	0.00278776i
$235$			0.130376i			0.00850479i
$236$	15.4614	−	17.1923i	1.00645	−	1.11912i
$237$	−11.8393			−0.769048
$238$	−8.32273	+	8.77556i	−0.539482	+	0.568835i
$239$	−4.72028	−	4.72028i	−0.305329	−	0.305329i	0.537765	−	0.843095i	$-0.319269\pi$
$239$	−4.72028	−	4.72028i	−0.305329	−	0.305329i	−0.843095	+	0.537765i	$0.819269\pi$
$240$	5.41960	+	4.37801i	0.349834	+	0.282600i
$241$	9.83574	+	9.83574i	0.633576	+	0.633576i	0.948963	−	0.315387i	$-0.102134\pi$
$241$	9.83574	+	9.83574i	0.633576	+	0.633576i	−0.315387	+	0.948963i	$0.602134\pi$
$242$	−8.32951	+	0.220602i	−0.535441	+	0.0141808i
$243$			0.350156i			0.0224625i
$244$	−0.647898	+	0.0343424i	−0.0414774	+	0.00219855i
$245$	2.31456	+	2.31456i	0.147872	+	0.147872i
$246$	−20.4371	+	21.5491i	−1.30302	+	1.37392i
$247$	3.14489	−	5.00448i	0.200105	−	0.318428i
$248$	−5.79904	+	6.80212i	−0.368240	+	0.431935i
$249$	11.3438	−	11.3438i	0.718881	−	0.718881i
$250$	−0.973174	+	1.02612i	−0.0615490	+	0.0648978i
$251$	−5.95358			−0.375787			−0.187893	−	0.982189i	$-0.560166\pi$
$251$	−5.95358			−0.375787			−0.187893	+	0.982189i	$0.560166\pi$
$252$	0.144437	−	0.160606i	0.00909865	−	0.0101172i
$253$	10.5524	−	10.5524i	0.663422	−	0.663422i
$254$	0.221192	+	8.35179i	0.0138788	+	0.524038i
$255$	−3.28618	+	3.28618i	−0.205789	+	0.205789i
$256$	15.6424	−	3.36392i	0.977649	−	0.210245i
$257$			16.3793i			1.02171i	0.859667	+	0.510855i	$0.170671\pi$
$257$			16.3793i			1.02171i	−0.859667	+	0.510855i	$0.829329\pi$
$258$	−20.3723	+	0.539548i	−1.26833	+	0.0335908i
$259$	7.87230			0.489161
$260$	−6.30014	−	3.50830i	−0.390718	−	0.217576i
$261$	0.138313			0.00856134
$262$	17.7255	−	0.469450i	1.09509	−	0.0290027i
$263$			6.44453i			0.397387i	0.980062	+	0.198693i	$0.0636698\pi$
$263$			6.44453i			0.397387i	−0.980062	+	0.198693i	$0.936330\pi$
$264$	−7.22352	+	8.47299i	−0.444577	+	0.521477i
$265$	−8.48572	+	8.48572i	−0.521274	+	0.521274i
$266$	0.196729	+	7.42809i	0.0120622	+	0.455446i
$267$	20.4268	−	20.4268i	1.25010	−	1.25010i
$268$	10.1315	+	9.11147i	0.618878	+	0.556572i
$269$	−16.8537			−1.02759			−0.513793	−	0.857914i	$-0.671760\pi$
$269$	−16.8537			−1.02759			−0.513793	+	0.857914i	$0.671760\pi$
$270$	−5.02797	+	5.30154i	−0.305992	+	0.322641i
$271$	−4.89574	+	4.89574i	−0.297395	+	0.297395i	−0.839993	−	0.542598i	$-0.817441\pi$
$271$	−4.89574	+	4.89574i	−0.297395	+	0.297395i	0.542598	+	0.839993i	$0.317441\pi$
$272$	1.12828	+	10.6130i	0.0684120	+	0.643510i
$273$	−10.7099	+	17.0428i	−0.648195	+	1.03147i
$274$	7.97966	−	8.41383i	0.482069	−	0.508298i
$275$	−1.59814	−	1.59814i	−0.0963712	−	0.0963712i
$276$	1.21750	+	22.9691i	0.0732847	+	1.38257i
$277$			13.3596i			0.802703i	0.915924	+	0.401351i	$0.131459\pi$
$277$			13.3596i			0.802703i	−0.915924	+	0.401351i	$0.868541\pi$
$278$	−24.4190	+	0.646722i	−1.46455	+	0.0387878i
$279$	0.0752969	+	0.0752969i	0.00450790	+	0.00450790i
$280$	9.03708	−	0.719370i	0.540069	−	0.0429906i
$281$	1.74676	+	1.74676i	0.104203	+	0.104203i	0.757286	−	0.653083i	$-0.226525\pi$
$281$	1.74676	+	1.74676i	0.104203	+	0.104203i	−0.653083	+	0.757286i	$0.726525\pi$
$282$	0.220991	−	0.233015i	0.0131598	−	0.0138758i
$283$	3.58713			0.213233			0.106616	−	0.994300i	$-0.465998\pi$
$283$	3.58713			0.213233			0.106616	+	0.994300i	$0.465998\pi$
$284$	−0.638483	−	0.574204i	−0.0378870	−	0.0340727i
$285$			2.85526i			0.169131i
$286$	5.87134	−	9.91652i	0.347180	−	0.586376i
$287$			38.6453i			2.28116i
$288$	−0.0251613	−	0.188942i	−0.00148265	−	0.0111335i
$289$	9.88065			0.581214
$290$	4.21204	+	3.99469i	0.247340	+	0.234576i
$291$	9.85170	+	9.85170i	0.577517	+	0.577517i
$292$	−12.7664	−	11.4811i	−0.747096	−	0.671882i
$293$	−17.0450	−	17.0450i	−0.995780	−	0.995780i	0.00421083	−	0.999991i	$-0.498660\pi$
$293$	−17.0450	−	17.0450i	−0.995780	−	0.995780i	−0.999991	+	0.00421083i	$0.998660\pi$
$294$	−0.213463	−	8.05995i	−0.0124494	−	0.470066i
$295$		−	11.5610i		−	0.673110i
$296$	4.50693	−	5.28651i	0.261960	−	0.307272i
$297$	−8.25687	−	8.25687i	−0.479112	−	0.479112i
$298$	−16.1821	−	15.3471i	−0.937403	−	0.889031i
$299$	−5.29637	−	23.2106i	−0.306297	−	1.34230i
$300$	3.47862	−	0.184387i	0.200838	−	0.0106456i
$301$	−18.7513	+	18.7513i	−1.08081	+	1.08081i
$302$	−0.496301	−	0.470690i	−0.0285589	−	0.0270852i
$303$	6.40049			0.367698
$304$	5.10084	+	4.12051i	0.292553	+	0.236328i
$305$	−0.229388	+	0.229388i	−0.0131347	+	0.0131347i
$306$	0.127102	−	0.00336622i	0.00726594	−	0.000192434i
$307$	18.9386	−	18.9386i	1.08089	−	1.08089i	0.0844588	−	0.996427i	$-0.473084\pi$
$307$	18.9386	−	18.9386i	1.08089	−	1.08089i	0.996427	−	0.0844588i	$-0.0269161\pi$
$308$	0.766882	+	14.4679i	0.0436972	+	0.824383i
$309$		−	19.4623i		−	1.10717i
$310$	0.118325	+	4.46771i	0.00672038	+	0.253749i
$311$	−3.93596			−0.223188			−0.111594	−	0.993754i	$-0.535596\pi$
$311$	−3.93596			−0.223188			−0.111594	+	0.993754i	$0.535596\pi$
$312$	5.31329	+	16.9491i	0.300806	+	0.959556i
$313$	−3.48356			−0.196902			−0.0984511	−	0.995142i	$-0.531389\pi$
$313$	−3.48356			−0.196902			−0.0984511	+	0.995142i	$0.531389\pi$
$314$	−0.868376	−	32.7882i	−0.0490053	−	1.85035i
$315$		−	0.108000i		−	0.00608512i
$316$	0.719593	+	13.5757i	0.0404803	+	0.763693i
$317$	7.76202	−	7.76202i	0.435959	−	0.435959i	−0.454691	−	0.890649i	$-0.650250\pi$
$317$	7.76202	−	7.76202i	0.435959	−	0.435959i	0.890649	+	0.454691i	$0.150250\pi$
$318$	29.5497	−	0.782605i	1.65706	−	0.0438863i
$319$	−6.56004	+	6.56004i	−0.367292	+	0.367292i
$320$	4.69069	−	6.48054i	0.262218	−	0.362273i
$321$	−8.66151			−0.483438
$322$	21.7166	+	20.5959i	1.21022	+	1.14777i
$323$	−3.09290	+	3.09290i	−0.172093	+	0.172093i
$324$	18.1744	−	0.963351i	1.00969	−	0.0535195i
$325$	−3.51520	+	0.802125i	−0.194988	+	0.0444939i
$326$	−19.4161	−	18.4142i	−1.07536	−	1.01987i
$327$	−8.97679	−	8.97679i	−0.496417	−	0.496417i
$328$	25.9516	+	22.1246i	1.43294	+	1.22163i
$329$		−	0.417880i		−	0.0230385i
$330$	0.147390	+	5.56516i	0.00811354	+	0.306352i
$331$	17.5261	+	17.5261i	0.963320	+	0.963320i	0.999351	−	0.0360307i	$-0.0114714\pi$
$331$	17.5261	+	17.5261i	0.963320	+	0.963320i	−0.0360307	+	0.999351i	$0.511471\pi$
$332$	−13.6969	−	12.3180i	−0.751715	−	0.676036i
$333$	−0.0585196	−	0.0585196i	−0.00320686	−	0.00320686i
$334$	−20.6548	−	19.5890i	−1.13018	−	1.07186i
$335$	6.81296			0.372232
$336$	−17.3709	−	14.0324i	−0.947660	−	0.765530i
$337$		−	23.9200i		−	1.30300i	−0.758647	−	0.651502i	$-0.774139\pi$
$337$		−	23.9200i		−	1.30300i	0.758647	−	0.651502i	$-0.225861\pi$
$338$	−8.41087	−	16.3480i	−0.457491	−	0.889214i
$339$		−	34.0012i		−	1.84669i
$340$	3.96786	+	3.56840i	0.215188	+	0.193524i
$341$	−7.14251			−0.386789
$342$	0.0537552	−	0.0566800i	0.00290675	−	0.00306490i
$343$	8.44629	+	8.44629i	0.456057	+	0.456057i
$344$	1.85690	+	23.3273i	0.100118	+	1.25773i
$345$	8.13219	+	8.13219i	0.437822	+	0.437822i
$346$	0.210335	−	0.00557059i	0.0113077	−	0.000299477i
$347$			34.5651i			1.85555i	0.373140	+	0.927775i	$0.378281\pi$
$347$			34.5651i			1.85555i	−0.373140	+	0.927775i	$0.621719\pi$
$348$	−0.756874	−	14.2790i	−0.0405727	−	0.765437i
$349$	2.27974	+	2.27974i	0.122032	+	0.122032i	0.765485	−	0.643453i	$-0.222499\pi$
$349$	2.27974	+	2.27974i	0.122032	+	0.122032i	−0.643453	+	0.765485i	$0.722499\pi$
$350$	3.11922	−	3.28893i	0.166729	−	0.175801i
$351$	−18.1615	+	4.14423i	−0.969388	+	0.221202i
$352$	10.1547	+	7.76793i	0.541247	+	0.414032i
$353$	−7.87362	+	7.87362i	−0.419070	+	0.419070i	−0.884883	−	0.465813i	$-0.845762\pi$
$353$	−7.87362	+	7.87362i	−0.419070	+	0.419070i	0.465813	+	0.884883i	$0.345762\pi$
$354$	−19.5963	+	20.6625i	−1.04153	+	1.09820i
$355$	−0.429352			−0.0227876
$356$	−24.6642	−	22.1811i	−1.30720	−	1.17560i
$357$	10.5329	−	10.5329i	0.557458	−	0.557458i
$358$	0.375842	+	14.1911i	0.0198639	+	0.750021i
$359$	−23.1155	+	23.1155i	−1.21999	+	1.21999i	−0.252355	+	0.967635i	$0.581205\pi$
$359$	−23.1155	+	23.1155i	−1.21999	+	1.21999i	−0.967635	+	0.252355i	$0.918795\pi$
$360$	−0.0725257	−	0.0618306i	−0.00382244	−	0.00325876i
$361$		−	16.3127i		−	0.858562i
$362$	17.7601	−	0.470366i	0.933451	−	0.0247219i
$363$	10.2623			0.538629
$364$	20.1932	+	11.2448i	1.05841	+	0.589388i
$365$	−8.58482			−0.449350
$366$	0.798794	−	0.0211556i	0.0417536	−	0.00110582i
$367$		−	36.0866i		−	1.88371i	−0.336026	−	0.941853i	$-0.609083\pi$
$367$		−	36.0866i		−	1.88371i	0.336026	−	0.941853i	$-0.390917\pi$
$368$	26.2637	−	2.79211i	1.36909	−	0.145549i
$369$	0.287274	−	0.287274i	0.0149549	−	0.0149549i
$370$	−0.0919601	−	3.47224i	−0.00478078	−	0.180513i
$371$	27.1984	−	27.1984i	1.41207	−	1.41207i
$372$	7.36141	−	8.18549i	0.381672	−	0.424398i
$373$	27.3536			1.41631			0.708157	−	0.706055i	$-0.249527\pi$
$373$	27.3536			1.41631			0.708157	+	0.706055i	$0.249527\pi$
$374$	−5.86867	+	6.18798i	−0.303462	+	0.319973i
$375$	1.23160	−	1.23160i	0.0635997	−	0.0635997i
$376$	−0.280621	−	0.239239i	−0.0144719	−	0.0123378i
$377$	3.29256	+	14.4292i	0.169576	+	0.743141i
$378$	16.1156	−	16.9925i	0.828898	−	0.873998i
$379$	−5.93611	−	5.93611i	−0.304917	−	0.304917i	0.538017	−	0.842934i	$-0.319174\pi$
$379$	−5.93611	−	5.93611i	−0.304917	−	0.304917i	−0.842934	+	0.538017i	$0.819174\pi$
$380$	3.27402	−	0.173542i	0.167953	−	0.00890253i
$381$		−	10.2897i		−	0.527158i
$382$	−3.53027	+	0.0934971i	−0.180625	+	0.00478373i
$383$	−16.3492	−	16.3492i	−0.835403	−	0.835403i	0.152847	−	0.988250i	$-0.451156\pi$
$383$	−16.3492	−	16.3492i	−0.835403	−	0.835403i	−0.988250	+	0.152847i	$0.951156\pi$
$384$	−19.3681	+	3.63152i	−0.988377	+	0.185320i
$385$	5.12234	+	5.12234i	0.261059	+	0.261059i
$386$	20.2195	−	21.3197i	1.02915	−	1.08514i
$387$	0.278780			0.0141712
$388$	10.6978	−	11.8953i	0.543097	−	0.603894i
$389$		−	35.4161i		−	1.79567i	−0.440335	−	0.897833i	$-0.645140\pi$
$389$		−	35.4161i		−	1.79567i	0.440335	−	0.897833i	$-0.354860\pi$
$390$	7.64217	+	4.52475i	0.386976	+	0.229120i
$391$			17.6180i			0.890981i
$392$	−9.22905	+	0.734652i	−0.466138	+	0.0371055i
$393$	−21.8385			−1.10161
$394$	19.7661	+	18.7462i	0.995803	+	0.944417i
$395$	4.80648	+	4.80648i	0.241840	+	0.241840i
$396$	0.101848	−	0.113249i	0.00511804	−	0.00569098i
$397$	13.4882	+	13.4882i	0.676952	+	0.676952i	0.959309	−	0.282358i	$-0.0911165\pi$
$397$	13.4882	+	13.4882i	0.676952	+	0.676952i	−0.282358	+	0.959309i	$0.591116\pi$
$398$	0.254007	+	9.59082i	0.0127322	+	0.480744i
$399$		−	9.15168i		−	0.458157i
$400$	−0.422860	−	3.97759i	−0.0211430	−	0.198879i
$401$	−5.86978	−	5.86978i	−0.293123	−	0.293123i	0.545190	−	0.838313i	$-0.316458\pi$
$401$	−5.86978	−	5.86978i	−0.293123	−	0.293123i	−0.838313	+	0.545190i	$0.816458\pi$
$402$	−12.1765	−	11.5481i	−0.607308	−	0.575969i
$403$	−6.06273	+	9.64765i	−0.302006	+	0.480584i
$404$	−0.389020	−	7.33918i	−0.0193545	−	0.365138i
$405$	6.43464	−	6.43464i	0.319740	−	0.319740i
$406$	−13.5004	−	12.8038i	−0.670015	−	0.635440i
$407$	5.55106			0.275156
$408$	−1.04305	−	13.1033i	−0.0516385	−	0.648709i
$409$	2.86259	−	2.86259i	0.141546	−	0.141546i	−0.632783	−	0.774329i	$-0.718088\pi$
$409$	2.86259	−	2.86259i	0.141546	−	0.141546i	0.774329	+	0.632783i	$0.218088\pi$
$410$	17.0453	−	0.451435i	0.841808	−	0.0222948i
$411$	−10.0987	+	10.0987i	−0.498131	+	0.498131i
$412$	−22.3167	+	1.18292i	−1.09946	+	0.0582781i
$413$			37.0554i			1.82338i
$414$	−0.00833026	−	0.314535i	−0.000409410	−	0.0154585i
$415$	−9.21056			−0.452129
$416$	19.1120	−	7.12270i	0.937041	−	0.349219i
$417$	30.0851			1.47327
$418$	0.138721	+	5.23783i	0.00678505	+	0.256191i
$419$			18.2943i			0.893736i	0.894600	+	0.446868i	$0.147461\pi$
$419$			18.2943i			0.893736i	−0.894600	+	0.446868i	$0.852539\pi$
$420$	−11.1497	+	0.590998i	−0.544047	+	0.0288377i
$421$	7.42783	−	7.42783i	0.362010	−	0.362010i	−0.502542	−	0.864553i	$-0.667602\pi$
$421$	7.42783	−	7.42783i	0.362010	−	0.362010i	0.864553	+	0.502542i	$0.167602\pi$
$422$	26.3084	−	0.696763i	1.28067	−	0.0339179i
$423$	−0.00310636	+	0.00310636i	−0.000151036	+	0.000151036i
$424$	−2.69341	−	33.8359i	−0.130803	−	1.64321i
$425$	2.66821			0.129427
$426$	0.767360	+	0.727762i	0.0371787	+	0.0352602i
$427$	0.735234	−	0.735234i	0.0355805	−	0.0355805i
$428$	0.526445	+	9.93181i	0.0254467	+	0.480072i
$429$	−7.55198	+	12.0175i	−0.364613	+	0.580210i
$430$	8.48969	+	8.05160i	0.409409	+	0.388283i
$431$	12.8147	+	12.8147i	0.617262	+	0.617262i	0.944828	−	0.327566i	$-0.106228\pi$
$431$	12.8147	+	12.8147i	0.617262	+	0.617262i	−0.327566	+	0.944828i	$0.606228\pi$
$432$	−2.18473	−	20.5504i	−0.105113	−	0.988734i
$433$		−	5.75123i		−	0.276387i	−0.990405	−	0.138193i	$-0.955870\pi$
$433$		−	5.75123i		−	0.276387i	0.990405	−	0.138193i	$-0.0441295\pi$
$434$	−0.379253	−	14.3199i	−0.0182047	−	0.687377i
$435$	−5.05549	−	5.05549i	−0.242392	−	0.242392i
$436$	−9.74772	+	10.8389i	−0.466831	+	0.519091i
$437$	7.65388	+	7.65388i	0.366135	+	0.366135i
$438$	15.3432	+	14.5515i	0.733129	+	0.695298i
$439$	34.4028			1.64196			0.820978	−	0.570959i	$-0.193429\pi$
$439$	34.4028			1.64196			0.820978	+	0.570959i	$0.193429\pi$
$440$	6.37239	−	0.507255i	0.303792	−	0.0241824i
$441$			0.110294i			0.00525211i
$442$	3.37687	+	13.1795i	0.160621	+	0.626886i
$443$			7.48543i			0.355644i	0.984063	+	0.177822i	$0.0569051\pi$
$443$			7.48543i			0.355644i	−0.984063	+	0.177822i	$0.943095\pi$
$444$	−5.72118	+	6.36165i	−0.271515	+	0.301910i
$445$	−16.5855			−0.786230
$446$	14.1685	−	14.9394i	0.670897	−	0.707400i
$447$	19.4225	+	19.4225i	0.918654	+	0.918654i
$448$	−15.0346	+	20.7714i	−0.710318	+	0.981357i
$449$	18.7505	+	18.7505i	0.884892	+	0.884892i	0.994027	−	0.109135i	$-0.0348081\pi$
$449$	18.7505	+	18.7505i	0.884892	+	0.884892i	−0.109135	+	0.994027i	$0.534808\pi$
$450$	−0.0476357	+	0.00126160i	−0.00224557	+	5.94725e-5i
$451$			27.2503i			1.28317i
$452$	−38.9878	+	2.06659i	−1.83383	+	0.0972041i
$453$	0.595684	+	0.595684i	0.0279877	+	0.0279877i
$454$	12.1026	−	12.7611i	0.568004	−	0.598909i
$455$	11.2669	−	2.57097i	0.528200	−	0.120529i
$456$	−6.14565	−	5.23938i	−0.287797	−	0.245357i
$457$	−18.0533	+	18.0533i	−0.844497	+	0.844497i	−0.989440	−	0.144943i	$-0.953700\pi$
$457$	−18.0533	+	18.0533i	−0.844497	+	0.844497i	0.144943	+	0.989440i	$0.453700\pi$
$458$	−10.6082	+	11.1854i	−0.495687	+	0.522657i
$459$	13.7855			0.643451
$460$	8.83058	−	9.81913i	0.411728	−	0.457819i
$461$	0.192351	−	0.192351i	0.00895870	−	0.00895870i	−0.702613	−	0.711572i	$-0.747984\pi$
$461$	0.192351	−	0.192351i	0.00895870	−	0.00895870i	0.711572	+	0.702613i	$0.247984\pi$
$462$	−0.472413	−	17.8374i	−0.0219787	−	0.829872i
$463$	7.40063	−	7.40063i	0.343936	−	0.343936i	−0.513909	−	0.857845i	$-0.671803\pi$
$463$	7.40063	−	7.40063i	0.343936	−	0.343936i	0.857845	+	0.513909i	$0.171803\pi$
$464$	−16.3272	+	1.73576i	−0.757972	+	0.0805804i
$465$		−	5.50438i		−	0.255259i
$466$	1.07259	−	0.0284069i	0.0496869	−	0.00131593i
$467$	−30.7576			−1.42329			−0.711646	−	0.702538i	$-0.752050\pi$
$467$	−30.7576			−1.42329			−0.711646	+	0.702538i	$0.752050\pi$
$468$	−0.0665190	−	0.233698i	−0.00307484	−	0.0108027i
$469$	−21.8369			−1.00833
$470$	−0.184315	+	0.00488146i	−0.00850181	+	0.000225165i
$471$			40.3963i			1.86136i
$472$	24.8839	+	21.2144i	1.14538	+	0.976472i
$473$	−13.2223	+	13.2223i	−0.607960	+	0.607960i
$474$	−0.443282	−	16.7375i	−0.0203606	−	0.768779i
$475$	1.15916	−	1.15916i	0.0531861	−	0.0531861i
$476$	−12.7178	−	11.4374i	−0.582919	−	0.524233i
$477$	−0.404365			−0.0185146
$478$	6.49641	−	6.84988i	0.297139	−	0.313306i
$479$	−14.6743	+	14.6743i	−0.670485	+	0.670485i	−0.957828	−	0.287343i	$-0.907228\pi$
$479$	−14.6743	+	14.6743i	−0.670485	+	0.670485i	0.287343	+	0.957828i	$0.407228\pi$
$480$	−5.98636	+	7.82571i	−0.273239	+	0.357193i
$481$	4.71187	−	7.49801i	0.214843	−	0.341880i
$482$	−13.5367	+	14.2732i	−0.616580	+	0.650128i
$483$	−26.0653	−	26.0653i	−1.18601	−	1.18601i
$484$	−0.623738	−	11.7673i	−0.0283517	−	0.534878i
$485$		−	7.99909i		−	0.363220i
$486$	−0.495021	+	0.0131103i	−0.0224546	+	0.000594697i
$487$	−28.9284	−	28.9284i	−1.31087	−	1.31087i	−0.920772	−	0.390101i	$-0.872440\pi$
$487$	−28.9284	−	28.9284i	−1.31087	−	1.31087i	−0.390101	−	0.920772i	$-0.627560\pi$
$488$	−0.0728088	−	0.914659i	−0.00329590	−	0.0414047i
$489$	23.3041	+	23.3041i	1.05385	+	1.05385i
$490$	−3.18548	+	3.35880i	−0.143905	+	0.151735i
$491$	−23.8509			−1.07638			−0.538188	−	0.842825i	$-0.680891\pi$
$491$	−23.8509			−1.07638			−0.538188	+	0.842825i	$0.680891\pi$
$492$	−31.2295	−	28.0854i	−1.40793	−	1.26619i
$493$		−	10.9525i		−	0.493275i
$494$	7.19268	+	4.25862i	0.323614	+	0.191604i
$495$		−	0.0761550i		−	0.00342291i
$496$	−9.83340	−	7.94353i	−0.441533	−	0.356675i
$497$	1.37616			0.0617290
$498$	16.4616	+	15.6121i	0.737662	+	0.699597i
$499$	−0.393448	−	0.393448i	−0.0176132	−	0.0176132i	0.698245	−	0.715859i	$-0.253964\pi$
$499$	−0.393448	−	0.393448i	−0.0176132	−	0.0176132i	−0.715859	+	0.698245i	$0.753964\pi$
$500$	−1.48709	−	1.33737i	−0.0665046	−	0.0598092i
$501$	24.7909	+	24.7909i	1.10758	+	1.10758i
$502$	−0.222911	−	8.41668i	−0.00994899	−	0.375655i
$503$		−	34.6269i		−	1.54394i	−0.635661	−	0.771969i	$-0.719272\pi$
$503$		−	34.6269i		−	1.54394i	0.635661	−	0.771969i	$-0.280728\pi$
$504$	0.232459	+	0.198179i	0.0103545	+	0.00882761i
$505$	−2.59844	−	2.59844i	−0.115629	−	0.115629i
$506$	15.3132	+	14.5230i	0.680754	+	0.645625i
$507$	9.82217	+	20.4015i	0.436218	+	0.906061i
$508$	−11.7988	+	0.625407i	−0.523487	+	0.0277479i
$509$	−6.20122	+	6.20122i	−0.274864	+	0.274864i	−0.831055	−	0.556191i	$-0.812262\pi$
$509$	−6.20122	+	6.20122i	−0.274864	+	0.274864i	0.556191	+	0.831055i	$0.312262\pi$
$510$	−4.76877	−	4.52269i	−0.211165	−	0.200268i
$511$	27.5160			1.21724
$512$	5.34131	+	21.9880i	0.236055	+	0.971740i
$513$	5.98890	−	5.98890i	0.264416	−	0.264416i
$514$	−23.1557	+	0.613264i	−1.02135	+	0.0270499i
$515$	−7.90121	+	7.90121i	−0.348169	+	0.348169i
$516$	−1.52554	−	28.7805i	−0.0671581	−	1.26699i
$517$		−	0.294663i		−	0.0129593i
$518$	0.294750	+	11.1292i	0.0129506	+	0.488989i
$519$	−0.259140			−0.0113750
$520$	4.72386	−	9.03798i	0.207155	−	0.396342i
$521$	2.74943			0.120455			0.0602275	−	0.998185i	$-0.480817\pi$
$521$	2.74943			0.120455			0.0602275	+	0.998185i	$0.480817\pi$
$522$	0.00517863	+	0.195535i	0.000226662	+	0.00855834i
$523$		−	16.1667i		−	0.706919i	−0.935450	−	0.353460i	$-0.885005\pi$
$523$		−	16.1667i		−	0.706919i	0.935450	−	0.353460i	$-0.114995\pi$
$524$	1.32734	+	25.0413i	0.0579851	+	1.09394i
$525$	−3.94753	+	3.94753i	−0.172284	+	0.172284i
$526$	−9.11075	+	0.241293i	−0.397248	+	0.0105209i
$527$	5.96249	−	5.96249i	0.259730	−	0.259730i
$528$	−12.2489	−	9.89478i	−0.533064	−	0.430615i
$529$	20.5986			0.895593
$530$	−12.3141	−	11.6787i	−0.534892	−	0.507290i
$531$	0.275456	−	0.275456i	0.0119538	−	0.0119538i
$532$	−10.4939	+	0.556237i	−0.454967	+	0.0241159i
$533$	36.8079	+	23.1307i	1.59433	+	1.00190i
$534$	29.6426	+	28.1129i	1.28276	+	1.21657i
$535$	3.51636	+	3.51636i	0.152025	+	0.152025i
$536$	−12.5017	+	14.6642i	−0.539992	+	0.633396i
$537$		−	17.4839i		−	0.754486i
$538$	−0.631026	−	23.8263i	−0.0272055	−	1.02723i
$539$	−5.23115	−	5.23115i	−0.225322	−	0.225322i
$540$	−7.68313	−	6.90963i	−0.330629	−	0.297343i
$541$	10.5714	+	10.5714i	0.454500	+	0.454500i	0.896845	−	0.442345i	$-0.145853\pi$
$541$	10.5714	+	10.5714i	0.454500	+	0.454500i	−0.442345	+	0.896845i	$0.645853\pi$
$542$	−7.10449	−	6.73789i	−0.305164	−	0.289417i
$543$	−21.8811			−0.939008
$544$	−14.9616	+	1.99244i	−0.641473	+	0.0854250i
$545$			7.28870i			0.312213i
$546$	−24.4946	−	14.5027i	−1.04827	−	0.620659i
$547$			26.4379i			1.13040i	0.824953	+	0.565201i	$0.191202\pi$
$547$			26.4379i			1.13040i	−0.824953	+	0.565201i	$0.808798\pi$
$548$	12.1936	+	10.9660i	0.520883	+	0.468443i
$549$	−0.0109309			−0.000466519
$550$	2.19948	−	2.31915i	0.0937860	−	0.0988889i
$551$	−4.75814	−	4.75814i	−0.202704	−	0.202704i
$552$	−32.4262	+	2.58119i	−1.38015	+	0.109863i
$553$	−15.4057	−	15.4057i	−0.655117	−	0.655117i
$554$	−18.8868	+	0.500204i	−0.802422	+	0.0212516i
$555$			4.27792i			0.181588i
$556$	−1.82856	−	34.4973i	−0.0775484	−	1.46301i
$557$	1.31630	+	1.31630i	0.0557736	+	0.0557736i	0.734443	−	0.678670i	$-0.237443\pi$
$557$	1.31630	+	1.31630i	0.0557736	+	0.0557736i	−0.678670	+	0.734443i	$0.737443\pi$
$558$	−0.103629	+	0.109268i	−0.00438698	+	0.00462567i
$559$	6.63642	+	29.0831i	0.280690	+	1.23009i
$560$	1.35535	+	12.7489i	0.0572739	+	0.538741i
$561$	7.42711	−	7.42711i	0.313573	−	0.313573i
$562$	−2.40403	+	2.53483i	−0.101408	+	0.106925i
$563$	−29.6395			−1.24916			−0.624578	−	0.780963i	$-0.714729\pi$
$563$	−29.6395			−1.24916			−0.624578	+	0.780963i	$0.714729\pi$
$564$	0.337691	+	0.303694i	0.0142194	+	0.0127878i
$565$	−13.8036	+	13.8036i	−0.580723	+	0.580723i
$566$	0.134307	+	5.07120i	0.00564536	+	0.213158i
$567$	−20.6243	+	20.6243i	−0.866138	+	0.866138i
$568$	0.787856	−	0.924134i	0.0330577	−	0.0387758i
$569$		−	0.251459i		−	0.0105417i	−0.999986	−	0.00527086i	$-0.998322\pi$
$569$		−	0.251459i		−	0.0105417i	0.999986	−	0.00527086i	$-0.00167777\pi$
$570$	−4.03654	+	0.106905i	−0.169072	+	0.00447776i
$571$	18.1185			0.758237			0.379119	−	0.925348i	$-0.376227\pi$
$571$	18.1185			0.758237			0.379119	+	0.925348i	$0.376227\pi$
$572$	14.2390	+	7.92913i	0.595362	+	0.331534i
$573$	4.34942			0.181700
$574$	−54.6336	+	1.44694i	−2.28036	+	0.0603940i
$575$		−	6.60293i		−	0.275361i
$576$	0.266168	−	0.0426453i	0.0110903	−	0.00177689i
$577$	11.6490	−	11.6490i	0.484956	−	0.484956i	−0.421754	−	0.906710i	$-0.638585\pi$
$577$	11.6490	−	11.6490i	0.484956	−	0.484956i	0.906710	+	0.421754i	$0.138585\pi$
$578$	0.369946	+	13.9684i	0.0153877	+	0.581011i
$579$	−25.5889	+	25.5889i	−1.06344	+	1.06344i
$580$	−5.48966	+	6.10420i	−0.227946	+	0.253463i
$581$	29.5217			1.22476
$582$	−13.5587	+	14.2964i	−0.562025	+	0.592604i
$583$	19.1786	−	19.1786i	0.794298	−	0.794298i
$584$	15.7531	−	18.4779i	0.651867	−	0.764622i
$585$	−0.102865	−	0.0646421i	−0.00425296	−	0.00267262i
$586$	23.4586	−	24.7350i	0.969068	−	1.02179i
$587$	15.2424	+	15.2424i	0.629120	+	0.629120i	0.947847	−	0.318727i	$-0.103255\pi$
$587$	15.2424	+	15.2424i	0.629120	+	0.629120i	−0.318727	+	0.947847i	$0.603255\pi$
$588$	11.3865	−	0.603553i	0.469572	−	0.0248901i
$589$		−	5.18063i		−	0.213464i
$590$	16.3440	−	0.432862i	0.672874	−	0.0178206i
$591$	−23.7242	−	23.7242i	−0.975885	−	0.975885i
$592$	7.64238	+	6.17359i	0.314100	+	0.253733i
$593$	−28.2874	−	28.2874i	−1.16162	−	1.16162i	−0.984120	−	0.177504i	$-0.943198\pi$
$593$	−28.2874	−	28.2874i	−1.16162	−	1.16162i	−0.177504	−	0.984120i	$-0.556802\pi$
$594$	11.3637	−	11.9820i	0.466260	−	0.491629i
$595$	−8.55214			−0.350604
$596$	21.0905	−	23.4515i	0.863902	−	0.960612i
$597$		−	11.8162i		−	0.483606i
$598$	32.6149	−	8.35661i	1.33372	−	0.341727i
$599$		−	8.15426i		−	0.333174i	−0.986027	−	0.166587i	$-0.946725\pi$
$599$		−	8.15426i		−	0.333174i	0.986027	−	0.166587i	$-0.0532746\pi$
$600$	0.390916	+	4.91088i	0.0159591	+	0.200486i
$601$	−14.8920			−0.607457			−0.303728	−	0.952759i	$-0.598232\pi$
$601$	−14.8920			−0.607457			−0.303728	+	0.952759i	$0.598232\pi$
$602$	−27.2111	−	25.8070i	−1.10904	−	1.05181i
$603$	0.162327	+	0.162327i	0.00661046	+	0.00661046i
$604$	0.646841	−	0.719252i	0.0263196	−	0.0292660i
$605$	−4.16622	−	4.16622i	−0.169381	−	0.169381i
$606$	0.239643	+	9.04848i	0.00973485	+	0.367569i
$607$		−	27.0818i		−	1.09922i	−0.835423	−	0.549608i	$-0.814777\pi$
$607$		−	27.0818i		−	1.09922i	0.835423	−	0.549608i	$-0.185223\pi$
$608$	−5.63426	+	7.36543i	−0.228499	+	0.298707i
$609$	16.2038	+	16.2038i	0.656613	+	0.656613i
$610$	−0.332879	−	0.315701i	−0.0134779	−	0.0127824i
$611$	−0.398012	−	0.250117i	−0.0161019	−	0.0101187i
$612$	0.00951777	+	0.179560i	0.000384733	+	0.00725830i
$613$	−9.92420	+	9.92420i	−0.400835	+	0.400835i	−0.878527	−	0.477692i	$-0.841473\pi$
$613$	−9.92420	+	9.92420i	−0.400835	+	0.400835i	0.477692	+	0.878527i	$0.341473\pi$
$614$	27.4830	+	26.0648i	1.10912	+	1.05189i
$615$	−21.0004			−0.846819
$616$	−20.4248	+	1.62585i	−0.822937	+	0.0655075i
$617$	22.8112	−	22.8112i	0.918346	−	0.918346i	−0.0785635	−	0.996909i	$-0.525033\pi$
$617$	22.8112	−	22.8112i	0.918346	−	0.918346i	0.996909	+	0.0785635i	$0.0250333\pi$
$618$	27.5142	−	0.728697i	1.10678	−	0.0293125i
$619$	−9.11360	+	9.11360i	−0.366306	+	0.366306i	−0.866128	−	0.499822i	$-0.833399\pi$
$619$	−9.11360	+	9.11360i	−0.366306	+	0.366306i	0.499822	+	0.866128i	$0.333399\pi$
$620$	−6.31165	+	0.334555i	−0.253482	+	0.0134361i
$621$		−	34.1144i		−	1.36897i
$622$	−0.147368	−	5.56433i	−0.00590891	−	0.223109i
$623$	53.1599			2.12981
$624$	−23.7624	+	8.14609i	−0.951256	+	0.326104i
$625$	−1.00000			−0.0400000
$626$	−0.130429	−	4.92477i	−0.00521301	−	0.196833i
$627$		−	6.45319i		−	0.257716i
$628$	46.3208	−	2.45528i	1.84840	−	0.0979762i
$629$	−4.63396	+	4.63396i	−0.184768	+	0.184768i
$630$	0.152682	−	0.00404368i	0.00608298	−	0.000161104i
$631$	−2.43988	+	2.43988i	−0.0971301	+	0.0971301i	−0.754002	−	0.656872i	$-0.771879\pi$
$631$	−2.43988	+	2.43988i	−0.0971301	+	0.0971301i	0.656872	+	0.754002i	$0.271879\pi$
$632$	−19.1653	+	1.52560i	−0.762354	+	0.0606849i
$633$	−32.4129			−1.28830
$634$	11.2639	+	10.6827i	0.447348	+	0.424264i
$635$	−4.17736	+	4.17736i	−0.165774	+	0.165774i
$636$	2.21276	+	41.7456i	0.0877418	+	1.65532i
$637$	−11.5062	+	2.62558i	−0.455894	+	0.104029i
$638$	−9.51966	−	9.02842i	−0.376887	−	0.357439i
$639$	−0.0102298	−	0.0102298i	−0.000404685	−	0.000404685i
$640$	9.33728	+	6.38867i	0.369088	+	0.252535i
$641$			9.06432i			0.358019i	0.983847	+	0.179009i	$0.0572893\pi$
$641$			9.06432i			0.358019i	−0.983847	+	0.179009i	$0.942711\pi$
$642$	−0.324300	−	12.2449i	−0.0127991	−	0.483269i
$643$	−2.58292	−	2.58292i	−0.101860	−	0.101860i	0.654340	−	0.756200i	$-0.272947\pi$
$643$	−2.58292	−	2.58292i	−0.101860	−	0.101860i	−0.756200	+	0.654340i	$0.772947\pi$
$644$	−28.3038	+	31.4722i	−1.11532	+	1.24018i
$645$	−10.1897	−	10.1897i	−0.401220	−	0.401220i
$646$	−4.48828	−	4.25668i	−0.176589	−	0.167477i
$647$	−11.0164			−0.433101			−0.216551	−	0.976271i	$-0.569481\pi$
$647$	−11.0164			−0.433101			−0.216551	+	0.976271i	$0.569481\pi$
$648$	2.04238	+	25.6574i	0.0802323	+	1.00792i
$649$			26.1292i			1.02566i
$650$	−1.26559	−	4.93946i	−0.0496406	−	0.193742i
$651$			17.6426i			0.691468i
$652$	25.3055	−	28.1383i	0.991039	−	1.10198i
$653$	−16.6590			−0.651916			−0.325958	−	0.945384i	$-0.605687\pi$
$653$	−16.6590			−0.651916			−0.325958	+	0.945384i	$0.605687\pi$
$654$	12.3545	−	13.0267i	0.483101	−	0.509386i
$655$	8.86588	+	8.86588i	0.346419	+	0.346419i
$656$	−30.3063	+	37.5166i	−1.18326	+	1.46478i
$657$	−0.204544	−	0.204544i	−0.00798000	−	0.00798000i
$658$	0.590765	−	0.0156460i	0.0230304	−	0.000609946i
$659$			5.43051i			0.211543i	0.994390	+	0.105771i	$0.0337312\pi$
$659$			5.43051i			0.211543i	−0.994390	+	0.105771i	$0.966269\pi$
$660$	−7.86204	+	0.416735i	−0.306030	+	0.0162214i
$661$	26.9221	+	26.9221i	1.04715	+	1.04715i	0.998832	+	0.0483179i	$0.0153860\pi$
$661$	26.9221	+	26.9221i	1.04715	+	1.04715i	0.0483179	+	0.998832i	$0.484614\pi$
$662$	−24.1207	+	25.4331i	−0.937478	+	0.988486i
$663$	−3.72776	−	16.3364i	−0.144774	−	0.634452i
$664$	16.9013	−	19.8248i	0.655897	−	0.769350i
$665$	−3.71535	+	3.71535i	−0.144075	+	0.144075i
$666$	0.0805392	−	0.0849213i	0.00312083	−	0.00329063i
$667$	−27.1037			−1.04946
$668$	26.9200	−	29.9335i	1.04157	−	1.15816i
$669$	−17.9310	+	17.9310i	−0.693251	+	0.693251i
$670$	0.255087	+	9.63160i	0.00985487	+	0.372101i
$671$	0.518441	−	0.518441i	0.0200142	−	0.0200142i
$672$	19.1875	−	25.0829i	0.740172	−	0.967596i
$673$		−	5.34687i		−	0.206107i	−0.994676	−	0.103053i	$-0.967139\pi$
$673$		−	5.34687i		−	0.206107i	0.994676	−	0.103053i	$-0.0328613\pi$
$674$	33.8161	−	0.895599i	1.30255	−	0.0344972i
$675$	−5.16656			−0.198861
$676$	22.7966	−	12.5027i	0.876791	−	0.480872i
$677$	−3.14277			−0.120786			−0.0603932	−	0.998175i	$-0.519235\pi$
$677$	−3.14277			−0.120786			−0.0603932	+	0.998175i	$0.519235\pi$
$678$	48.0681	−	1.27305i	1.84604	−	0.0488914i
$679$			25.6386i			0.983921i
$680$	−4.89615	+	5.74305i	−0.187759	+	0.220236i
$681$	−15.3165	+	15.3165i	−0.586930	+	0.586930i
$682$	−0.267426	−	10.0975i	−0.0102403	−	0.386653i
$683$	20.6483	−	20.6483i	0.790084	−	0.790084i	−0.191424	−	0.981508i	$-0.561310\pi$
$683$	20.6483	−	20.6483i	0.790084	−	0.790084i	0.981508	+	0.191424i	$0.0613104\pi$
$684$	0.0821422	+	0.0738725i	0.00314078	+	0.00282458i
$685$	8.19962			0.313291
$686$	−11.6244	+	12.2569i	−0.443823	+	0.467971i
$687$	13.4252	−	13.4252i	0.512203	−	0.512203i
$688$	−32.9087	+	3.49855i	−1.25463	+	0.133381i
$689$	−9.62600	−	42.1845i	−0.366721	−	1.60710i
$690$	−11.1921	+	11.8011i	−0.426077	+	0.449260i
$691$	−1.36608	−	1.36608i	−0.0519681	−	0.0519681i	0.680645	−	0.732613i	$-0.261700\pi$
$691$	−1.36608	−	1.36608i	−0.0519681	−	0.0519681i	−0.732613	+	0.680645i	$0.761700\pi$
$692$	0.0157505	+	0.297145i	0.000598743	+	0.0112958i
$693$			0.244092i			0.00927228i
$694$	−48.8653	+	1.29417i	−1.85490	+	0.0491259i
$695$	−12.2138	−	12.2138i	−0.463295	−	0.463295i
$696$	20.1582	−	1.60464i	0.764095	−	0.0608235i
$697$	−22.7482	−	22.7482i	−0.861651	−	0.861651i
$698$	−3.13756	+	3.30827i	−0.118758	+	0.125220i
$699$	−1.32147			−0.0499826
$700$	4.76641	+	4.28655i	0.180153	+	0.162016i
$701$			0.108679i			0.00410476i	0.999998	+	0.00205238i	$0.000653294\pi$
$701$			0.108679i			0.00410476i	−0.999998	+	0.00205238i	$0.999347\pi$
$702$	−6.53876	−	25.5200i	−0.246790	−	0.963192i
$703$			4.02631i			0.151855i
$704$	−10.6015	+	14.6467i	−0.399558	+	0.552019i
$705$	0.227082			0.00855242
$706$	−11.4259	−	10.8363i	−0.430018	−	0.407829i
$707$	8.32850	+	8.32850i	0.313225	+	0.313225i
$708$	−29.9447	−	26.9300i	−1.12539	−	1.01209i
$709$	−5.18698	−	5.18698i	−0.194801	−	0.194801i	0.602966	−	0.797767i	$-0.293986\pi$
$709$	−5.18698	−	5.18698i	−0.194801	−	0.194801i	−0.797767	+	0.602966i	$0.793986\pi$
$710$	−0.0160755	−	0.606982i	−0.000603304	−	0.0227796i
$711$			0.229040i			0.00858967i
$712$	30.4343	−	35.6987i	1.14057	−	1.33786i
$713$	−14.7552	−	14.7552i	−0.552585	−	0.552585i
$714$	15.2848	+	14.4961i	0.572021	+	0.542503i
$715$	7.94471	−	1.81289i	0.297115	−	0.0677981i
$716$	−20.0481	+	1.06267i	−0.749233	+	0.0397138i
$717$	−8.22155	+	8.22155i	−0.307039	+	0.307039i
$718$	−33.5443	−	31.8133i	−1.25186	−	1.18726i
$719$	48.7697			1.81880			0.909402	−	0.415919i	$-0.136540\pi$
$719$	48.7697			1.81880			0.909402	+	0.415919i	$0.136540\pi$
$720$	0.0846956	−	0.104846i	0.00315642	−	0.00390737i
$721$	25.3249	−	25.3249i	0.943150	−	0.943150i
$722$	23.0615	−	0.610770i	0.858261	−	0.0227305i
$723$	17.1314	−	17.1314i	0.637124	−	0.637124i
$724$	1.32993	+	25.0902i	0.0494264	+	0.932469i
$725$			4.10480i			0.152449i
$726$	0.384234	+	14.5079i	0.0142603	+	0.538440i
$727$	6.38976			0.236983			0.118492	−	0.992955i	$-0.462194\pi$
$727$	6.38976			0.236983			0.118492	+	0.992955i	$0.462194\pi$
$728$	−15.1409	+	28.9685i	−0.561159	+	1.07364i
$729$	−26.6900			−0.988517
$730$	−0.321428	−	12.1365i	−0.0118966	−	0.449192i
$731$		−	22.0756i		−	0.816495i
$732$	0.0598160	+	1.12848i	0.00221086	+	0.0417097i
$733$	−19.5916	+	19.5916i	−0.723633	+	0.723633i	−0.969343	−	0.245710i	$-0.920979\pi$
$733$	−19.5916	+	19.5916i	−0.723633	+	0.723633i	0.245710	+	0.969343i	$0.420979\pi$
$734$	51.0163	−	1.35113i	1.88305	−	0.0498713i
$735$	4.03139	−	4.03139i	0.148700	−	0.148700i
$736$	4.93061	+	37.0249i	0.181745	+	1.36476i
$737$	−15.3980			−0.567193
$738$	0.416881	+	0.395369i	0.0153456	+	0.0145537i
$739$	−10.0163	+	10.0163i	−0.368454	+	0.368454i	−0.866913	−	0.498459i	$-0.833899\pi$
$739$	−10.0163	+	10.0163i	−0.368454	+	0.368454i	0.498459	+	0.866913i	$0.333899\pi$
$740$	4.90532	−	0.260011i	0.180323	−	0.00955821i
$741$	−8.71656	−	5.47762i	−0.320211	−	0.201225i
$742$	39.4692	+	37.4325i	1.44896	+	1.37419i
$743$	−13.9773	−	13.9773i	−0.512776	−	0.512776i	0.402600	−	0.915376i	$-0.368107\pi$
$743$	−13.9773	−	13.9773i	−0.512776	−	0.512776i	−0.915376	+	0.402600i	$0.868107\pi$
$744$	11.8476	+	10.1005i	0.434354	+	0.370302i
$745$		−	15.7701i		−	0.577772i
$746$	1.02416	+	38.6702i	0.0374971	+	1.41582i
$747$	−0.219453	−	0.219453i	−0.00802935	−	0.00802935i
$748$	−8.96779	−	8.06496i	−0.327895	−	0.294884i
$749$	−11.2706	−	11.2706i	−0.411819	−	0.411819i
$750$	1.78725	+	1.69503i	0.0652613	+	0.0618936i
$751$	9.35509			0.341372			0.170686	−	0.985325i	$-0.445402\pi$
$751$	9.35509			0.341372			0.170686	+	0.985325i	$0.445402\pi$
$752$	0.327709	−	0.405676i	0.0119503	−	0.0147935i
$753$			10.3697i			0.377891i
$754$	−20.2755	+	5.19501i	−0.738391	+	0.189191i
$755$		−	0.483665i		−	0.0176024i
$756$	24.6259	+	22.1467i	0.895637	+	0.805468i
$757$	50.2995			1.82817			0.914083	−	0.405528i	$-0.132912\pi$
$757$	50.2995			1.82817			0.914083	+	0.405528i	$0.132912\pi$
$758$	8.16972	−	8.61424i	0.296738	−	0.312883i
$759$	−18.3796	−	18.3796i	−0.667137	−	0.667137i
$760$	0.367924	+	4.62204i	0.0133460	+	0.167659i
$761$	−6.26200	−	6.26200i	−0.226997	−	0.226997i	0.584440	−	0.811437i	$-0.301314\pi$
$761$	−6.26200	−	6.26200i	−0.226997	−	0.226997i	−0.811437	+	0.584440i	$0.801314\pi$
$762$	14.5467	−	0.385262i	0.526973	−	0.0139566i
$763$		−	23.3617i		−	0.845750i
$764$	−0.264357	−	4.98731i	−0.00956410	−	0.180435i
$765$	0.0635733	+	0.0635733i	0.00229850	+	0.00229850i
$766$	22.5010	−	23.7252i	0.812992	−	0.857227i
$767$	35.2936	+	22.1791i	1.27438	+	0.800839i
$768$	−5.85911	−	27.2451i	−0.211422	−	0.983124i
$769$	30.0666	−	30.0666i	1.08423	−	1.08423i	0.0881203	−	0.996110i	$-0.471914\pi$
$769$	30.0666	−	30.0666i	1.08423	−	1.08423i	0.996110	−	0.0881203i	$-0.0280860\pi$
$770$	−7.04976	+	7.43333i	−0.254056	+	0.267879i
$771$	28.5286			1.02743
$772$	30.8971	+	27.7865i	1.11201	+	1.00006i
$773$	−18.4121	+	18.4121i	−0.662239	+	0.662239i	−0.955907	−	0.293668i	$-0.905124\pi$
$773$	−18.4121	+	18.4121i	−0.662239	+	0.662239i	0.293668	+	0.955907i	$0.405124\pi$
$774$	0.0104379	+	0.394116i	0.000375183	+	0.0141662i
$775$	−2.23464	+	2.23464i	−0.0802706	+	0.0802706i
$776$	17.2172	+	14.6783i	0.618061	+	0.526919i
$777$		−	13.7116i		−	0.491900i
$778$	50.0683	−	1.32603i	1.79504	−	0.0475405i
$779$	−19.7653			−0.708164
$780$	−6.11059	+	10.9733i	−0.218794	+	0.392906i
$781$	0.970380			0.0347229
$782$	−24.9069	+	0.659644i	−0.890669	+	0.0235888i
$783$			21.2077i			0.757903i
$784$	−1.38414	−	13.0198i	−0.0494336	−	0.464992i
$785$	16.3999	−	16.3999i	0.585336	−	0.585336i
$786$	−0.817665	−	30.8735i	−0.0291651	−	1.10122i
$787$	15.1960	−	15.1960i	0.541677	−	0.541677i	−0.382343	−	0.924020i	$-0.624883\pi$
$787$	15.1960	−	15.1960i	0.541677	−	0.541677i	0.924020	+	0.382343i	$0.124883\pi$
$788$	−25.7617	+	28.6456i	−0.917722	+	1.02046i
$789$	11.2248			0.399612
$790$	−6.61504	+	6.97496i	−0.235353	+	0.248158i
$791$	44.2434	−	44.2434i	1.57311	−	1.57311i
$792$	0.163916	+	0.139744i	0.00582449	+	0.00496558i
$793$	−0.260212	−	1.14034i	−0.00924041	−	0.0404947i
$794$	−18.5634	+	19.5735i	−0.658792	+	0.694637i
$795$	14.7800	+	14.7800i	0.524193	+	0.524193i
$796$	−13.5492	+	0.718188i	−0.480239	+	0.0254555i
$797$			18.8382i			0.667285i	0.942700	+	0.333642i	$0.108278\pi$
$797$			18.8382i			0.667285i	−0.942700	+	0.333642i	$0.891722\pi$
$798$	12.9379	−	0.342652i	0.457996	−	0.0121297i
$799$	0.245982	+	0.245982i	0.00870221	+	0.00870221i
$800$	5.60735	−	0.746731i	0.198250	−	0.0264009i
$801$	−0.395170	−	0.395170i	−0.0139627	−	0.0139627i
$802$	8.07844	−	8.51799i	0.285260	−	0.300781i
$803$	19.4026			0.684703
$804$	15.8699	−	17.6465i	0.559689	−	0.622344i
$805$			21.1637i			0.745922i
$806$	−13.8660	−	8.20977i	−0.488411	−	0.289177i
$807$			29.3549i			1.03334i
$808$	10.3610	−	0.824755i	0.364498	−	0.0290148i
$809$	−11.7526			−0.413199			−0.206600	−	0.978426i	$-0.566240\pi$
$809$	−11.7526			−0.413199			−0.206600	+	0.978426i	$0.566240\pi$
$810$	9.33768	+	8.85584i	0.328093	+	0.311162i
$811$	−34.0621	−	34.0621i	−1.19608	−	1.19608i	−0.975330	−	0.220752i	$-0.929149\pi$
$811$	−34.0621	−	34.0621i	−1.19608	−	1.19608i	−0.220752	−	0.975330i	$-0.570851\pi$
$812$	17.5954	−	19.5652i	0.617479	−	0.686603i
$813$	8.52715	+	8.52715i	0.299060	+	0.299060i
$814$	0.207840	+	7.84763i	0.00728477	+	0.275059i
$815$		−	18.9218i		−	0.662800i
$816$	18.4853	−	1.96518i	0.647114	−	0.0687951i
$817$	−9.59040	−	9.59040i	−0.335526	−	0.335526i
$818$	4.15407	+	3.93971i	0.145244	+	0.137749i
$819$	0.329703	+	0.207191i	0.0115208	+	0.00723983i
$820$	1.27640	+	24.0804i	0.0445739	+	0.840923i
$821$	−19.6398	+	19.6398i	−0.685434	+	0.685434i	−0.961219	−	0.275785i	$-0.911062\pi$
$821$	−19.6398	+	19.6398i	−0.685434	+	0.685434i	0.275785	+	0.961219i	$0.411062\pi$
$822$	−14.6548	−	13.8986i	−0.511145	−	0.484769i
$823$	33.8837			1.18111			0.590555	−	0.806997i	$-0.298909\pi$
$823$	33.8837			1.18111			0.590555	+	0.806997i	$0.298909\pi$
$824$	−2.50788	−	31.5052i	−0.0873661	−	1.09753i
$825$	−2.78355	+	2.78355i	−0.0969109	+	0.0969109i
$826$	−52.3859	+	1.38741i	−1.82274	+	0.0482741i
$827$	−6.04452	+	6.04452i	−0.210189	+	0.210189i	−0.804348	−	0.594159i	$-0.797485\pi$
$827$	−6.04452	+	6.04452i	−0.210189	+	0.210189i	0.594159	+	0.804348i	$0.297485\pi$
$828$	0.444352	−	0.0235533i	0.0154423	−	0.000818533i
$829$			8.49703i			0.295114i	0.989054	+	0.147557i	$0.0471410\pi$
$829$			8.49703i			0.295114i	−0.989054	+	0.147557i	$0.952859\pi$
$830$	−0.344857	−	13.0211i	−0.0119701	−	0.451970i
$831$	23.2692			0.807198
$832$	10.7851	+	26.7522i	0.373905	+	0.927467i
$833$	8.73382			0.302609
$834$	1.12643	+	42.5318i	0.0390050	+	1.47276i
$835$		−	20.1290i		−	0.696592i
$836$	−7.39962	+	0.392224i	−0.255921	+	0.0135654i
$837$	−11.5454	+	11.5454i	−0.399067	+	0.399067i
$838$	−25.8630	+	0.684966i	−0.893423	+	0.0236618i
$839$	17.7696	−	17.7696i	0.613475	−	0.613475i	−0.330375	−	0.943850i	$-0.607175\pi$
$839$	17.7696	−	17.7696i	0.613475	−	0.613475i	0.943850	+	0.330375i	$0.107175\pi$
$840$	−1.25296	−	15.7403i	−0.0432314	−	0.543093i
$841$	−12.1506			−0.418985
$842$	10.7790	+	10.2227i	0.371468	+	0.352299i
$843$	3.04242	−	3.04242i	0.104787	−	0.104787i
$844$	1.97005	+	37.1666i	0.0678120	+	1.27933i
$845$	4.29493	−	12.2700i	0.147750	−	0.422102i
$846$	−0.00450783	−	0.00427521i	−0.000154982	−	0.000146985i
$847$	13.3535	+	13.3535i	0.458833	+	0.458833i
$848$	47.7335	−	5.07458i	1.63918	−	0.174262i
$849$		−	6.24789i		−	0.214427i
$850$	0.0999017	+	3.77210i	0.00342660	+	0.129382i
$851$	11.4675	+	11.4675i	0.393100	+	0.393100i
$852$	−1.00012	+	1.11208i	−0.0342635	+	0.0380992i
$853$	8.82745	+	8.82745i	0.302246	+	0.302246i	0.841892	−	0.539646i	$-0.181442\pi$
$853$	8.82745	+	8.82745i	0.302246	+	0.302246i	−0.539646	+	0.841892i	$0.681442\pi$
$854$	1.06694	+	1.01189i	0.0365100	+	0.0346260i
$855$	0.0552369			0.00188906
$856$	−14.0211	+	1.11611i	−0.479230	+	0.0381477i
$857$			40.4876i			1.38303i	0.722362	+	0.691515i	$0.243056\pi$
$857$			40.4876i			1.38303i	−0.722362	+	0.691515i	$0.756944\pi$
$858$	−17.2721	−	10.2264i	−0.589660	−	0.349124i
$859$		−	51.4191i		−	1.75440i	−0.480127	−	0.877199i	$-0.659410\pi$
$859$		−	51.4191i		−	1.75440i	0.480127	−	0.877199i	$-0.340590\pi$
$860$	−11.0648	+	12.3035i	−0.377308	+	0.419546i
$861$	67.3105			2.29394
$862$	−17.6366	+	18.5962i	−0.600704	+	0.633388i
$863$	−38.5670	−	38.5670i	−1.31283	−	1.31283i	−0.919317	−	0.393517i	$-0.871258\pi$
$863$	−38.5670	−	38.5670i	−1.31283	−	1.31283i	−0.393517	−	0.919317i	$-0.628742\pi$
$864$	28.9707	−	3.85803i	0.985604	−	0.131253i
$865$	0.105204	+	0.105204i	0.00357705	+	0.00357705i
$866$	8.13062	−	0.215335i	0.276290	−	0.00731736i
$867$		−	17.2096i		−	0.584469i
$868$	20.2301	−	1.07231i	0.686654	−	0.0363967i
$869$	−10.8631	−	10.8631i	−0.368507	−	0.368507i
$870$	6.95775	−	7.33632i	0.235890	−	0.248725i
$871$	−13.0702	+	20.7986i	−0.442866	+	0.704735i
$872$	−15.6882	−	13.3747i	−0.531268	−	0.452924i
$873$	0.190588	−	0.190588i	0.00645042	−	0.00645042i
$874$	−10.5339	+	11.1070i	−0.356313	+	0.375700i
$875$	3.20520			0.108355
$876$	−19.9972	+	22.2358i	−0.675644	+	0.751280i
$877$	−26.1011	+	26.1011i	−0.881371	+	0.881371i	−0.993674	−	0.112303i	$-0.964177\pi$
$877$	−26.1011	+	26.1011i	−0.881371	+	0.881371i	0.112303	+	0.993674i	$0.464177\pi$
$878$	1.28809	+	48.6359i	0.0434710	+	1.64138i
$879$	−29.6882	+	29.6882i	−1.00136	+	1.00136i
$880$	0.955707	+	8.98977i	0.0322169	+	0.303045i
$881$		−	21.4832i		−	0.723789i	−0.932219	−	0.361894i	$-0.882130\pi$
$881$		−	21.4832i		−	0.723789i	0.932219	−	0.361894i	$-0.117870\pi$
$882$	−0.155925	+	0.00412958i	−0.00525027	+	0.000139050i
$883$	−3.38988			−0.114079			−0.0570393	−	0.998372i	$-0.518166\pi$
$883$	−3.38988			−0.114079			−0.0570393	+	0.998372i	$0.518166\pi$
$884$	−18.5057	+	5.26740i	−0.622414	+	0.177162i
$885$	−20.1364			−0.676879
$886$	−10.5823	+	0.280265i	−0.355519	+	0.00941570i
$887$		−	22.4098i		−	0.752449i	−0.926529	−	0.376224i	$-0.877222\pi$
$887$		−	22.4098i		−	0.752449i	0.926529	−	0.376224i	$-0.122778\pi$
$888$	−9.20778	−	7.84995i	−0.308993	−	0.263427i
$889$	13.3893	−	13.3893i	0.449062	−	0.449062i
$890$	−0.620987	−	23.4473i	−0.0208155	−	0.785955i
$891$	−14.5430	+	14.5430i	−0.487208	+	0.487208i
$892$	21.6505	+	19.4709i	0.724914	+	0.651933i
$893$	0.213726			0.00715207
$894$	−26.7308	+	28.1852i	−0.894010	+	0.942653i
$895$	−7.09802	+	7.09802i	−0.237261	+	0.237261i
$896$	−29.9278	−	20.4770i	−0.999818	−	0.684087i
$897$	−40.4270	+	9.22496i	−1.34982	+	0.308012i
$898$	−25.8059	+	27.2100i	−0.861154	+	0.908009i
$899$	9.17275	+	9.17275i	0.305928	+	0.305928i
$900$	−0.00356710	−	0.0672962i	−0.000118903	−	0.00224321i
$901$			32.0202i			1.06675i
$902$	−38.5242	+	1.02029i	−1.28272	+	0.0339720i
$903$	32.6601	+	32.6601i	1.08686	+	1.08686i
$904$	−4.38133	−	55.0404i	−0.145721	−	1.83062i
$905$	8.88317	+	8.88317i	0.295287	+	0.295287i
$906$	−0.819825	+	0.864432i	−0.0272369	+	0.0287188i
$907$	12.4767			0.414282			0.207141	−	0.978311i	$-0.433584\pi$
$907$	12.4767			0.414282			0.207141	+	0.978311i	$0.433584\pi$
$908$	18.4938	+	16.6319i	0.613737	+	0.551949i
$909$		−	0.123822i		−	0.00410690i
$910$	4.05647	+	15.8319i	0.134471	+	0.524824i
$911$		−	0.958971i		−	0.0317721i	−0.999874	−	0.0158861i	$-0.994943\pi$
$911$		−	0.958971i		−	0.0317721i	0.999874	−	0.0158861i	$-0.00505690\pi$
$912$	7.17690	−	8.88439i	0.237651	−	0.294192i
$913$	20.8168			0.688937
$914$	−26.1982	−	24.8463i	−0.866559	−	0.821842i
$915$	0.399537	+	0.399537i	0.0132083	+	0.0132083i
$916$	−16.2101	−	14.5782i	−0.535598	−	0.481676i
$917$	−28.4169	−	28.4169i	−0.938408	−	0.938408i
$918$	0.516149	+	19.4888i	0.0170354	+	0.643226i
$919$			28.2468i			0.931775i	0.884844	+	0.465888i	$0.154265\pi$
$919$			28.2468i			0.931775i	−0.884844	+	0.465888i	$0.845735\pi$
$920$	14.2121	+	12.1163i	0.468559	+	0.399463i
$921$	−32.9864	−	32.9864i	−1.08694	−	1.08694i
$922$	0.279133	+	0.264729i	0.00919274	+	0.00871838i
$923$	0.823681	−	1.31073i	0.0271118	−	0.0431431i
$924$	25.1994	−	1.33572i	0.828999	−	0.0439419i
$925$	1.73673	−	1.73673i	0.0571033	−	0.0571033i
$926$	10.7395	+	10.1853i	0.352921	+	0.334710i
$927$	−0.376511			−0.0123663
$928$	−3.06518	−	23.0171i	−0.100620	−	0.755573i
$929$	−18.8354	+	18.8354i	−0.617970	+	0.617970i	−0.945010	−	0.327041i	$-0.893949\pi$
$929$	−18.8354	+	18.8354i	−0.617970	+	0.617970i	0.327041	+	0.945010i	$0.393949\pi$
$930$	7.78164	−	0.206092i	0.255170	−	0.00675802i
$931$	3.79427	−	3.79427i	0.124352	−	0.124352i
$932$	0.0803188	+	1.51528i	0.00263093	+	0.0496346i
$933$			6.85545i			0.224437i
$934$	−1.15161	−	43.4826i	−0.0376818	−	1.42279i
$935$	−6.03044			−0.197217
$936$	0.327892	−	0.102789i	0.0107175	−	0.00335976i
$937$	6.12174			0.199989			0.0999943	−	0.994988i	$-0.468118\pi$
$937$	6.12174			0.199989			0.0999943	+	0.994988i	$0.468118\pi$
$938$	−0.817604	−	30.8712i	−0.0266957	−	1.00798i
$939$			6.06749i			0.198005i
$940$	−0.0138020	−	0.260386i	−0.000450172	−	0.00849286i
$941$	5.87583	−	5.87583i	0.191547	−	0.191547i	−0.604818	−	0.796364i	$-0.706754\pi$
$941$	5.87583	−	5.87583i	0.191547	−	0.191547i	0.796364	+	0.604818i	$0.206754\pi$
$942$	−57.1089	+	1.51249i	−1.86071	+	0.0492797i
$943$	−56.2942	+	56.2942i	−1.83319	+	1.83319i
$944$	−29.0595	+	35.9732i	−0.945806	+	1.17083i
$945$	16.5599			0.538692
$946$	−19.1876	−	18.1975i	−0.623843	−	0.591651i
$947$	5.05346	−	5.05346i	0.164215	−	0.164215i	−0.620216	−	0.784431i	$-0.712955\pi$
$947$	5.05346	−	5.05346i	0.164215	−	0.164215i	0.784431	+	0.620216i	$0.212955\pi$
$948$	23.6455	−	1.25335i	0.767970	−	0.0407070i
$949$	16.4694	−	26.2078i	0.534619	−	0.850741i
$950$	1.68213	+	1.59533i	0.0545756	+	0.0517594i
$951$	−13.5195	−	13.5195i	−0.438400	−	0.438400i
$952$	15.6931	−	18.4076i	0.508617	−	0.596594i
$953$		−	43.2043i		−	1.39952i	−0.714377	−	0.699762i	$-0.753290\pi$
$953$		−	43.2043i		−	1.39952i	0.714377	−	0.699762i	$-0.246710\pi$
$954$	−0.0151400	−	0.571658i	−0.000490176	−	0.0185081i
$955$	−1.76576	−	1.76576i	−0.0571385	−	0.0571385i
$956$	9.92703	+	8.92762i	0.321063	+	0.288740i
$957$	11.4259	+	11.4259i	0.369348	+	0.369348i
$958$	−21.2947	−	20.1959i	−0.688001	−	0.652499i
$959$	−26.2814			−0.848671
$960$	−11.2875	−	8.17002i	−0.364302	−	0.263686i
$961$		−	21.0128i		−	0.677832i
$962$	10.7765	+	6.38051i	0.347448	+	0.205716i
$963$			0.167563i			0.00539963i
$964$	−20.6851	−	18.6027i	−0.666224	−	0.599151i
$965$	20.7769			0.668832
$966$	35.8730	−	37.8248i	1.15420	−	1.21699i
$967$	−27.7802	−	27.7802i	−0.893350	−	0.893350i	0.101487	−	0.994837i	$-0.467640\pi$
$967$	−27.7802	−	27.7802i	−0.893350	−	0.893350i	−0.994837	+	0.101487i	$0.967640\pi$
$968$	16.6123	−	1.32238i	0.533940	−	0.0425028i
$969$	5.38705	+	5.38705i	0.173057	+	0.173057i
$970$	11.3084	−	0.299497i	0.363092	−	0.00961628i
$971$		−	43.9442i		−	1.41024i	−0.709089	−	0.705119i	$-0.750894\pi$
$971$		−	43.9442i		−	1.41024i	0.709089	−	0.705119i	$-0.249106\pi$
$972$	−0.0370686	−	0.699329i	−0.00118898	−	0.0224310i
$973$	39.1475	+	39.1475i	1.25501	+	1.25501i
$974$	39.8135	−	41.9798i	1.27571	−	1.34512i
$975$	1.39710	+	6.12259i	0.0447430	+	0.196080i
$976$	1.29034	−	0.137177i	0.0413029	−	0.00439094i
$977$	−1.42510	+	1.42510i	−0.0455930	+	0.0455930i	−0.729536	−	0.683943i	$-0.760264\pi$
$977$	−1.42510	+	1.42510i	−0.0455930	+	0.0455930i	0.683943	+	0.729536i	$0.260264\pi$
$978$	−32.0729	+	33.8180i	−1.02558	+	1.08138i
$979$	37.4851			1.19803
$980$	−4.86766	−	4.37761i	−0.155492	−	0.139838i
$981$	−0.173662	+	0.173662i	−0.00554460	+	0.00554460i
$982$	−0.893012	−	33.7184i	−0.0284972	−	1.07600i
$983$	−10.8561	+	10.8561i	−0.346254	+	0.346254i	−0.858712	−	0.512458i	$-0.828735\pi$
$983$	−10.8561	+	10.8561i	−0.346254	+	0.346254i	0.512458	+	0.858712i	$0.328735\pi$
$984$	38.5356	−	45.2013i	1.22847	−	1.44096i
$985$			19.2629i			0.613767i
$986$	15.4837	−	0.410077i	0.493102	−	0.0130595i
$987$	−0.727844			−0.0231675
$988$	−5.75118	+	10.3279i	−0.182969	+	0.328573i
$989$	−54.6296			−1.73712
$990$	0.107662	−	0.00285135i	0.00342171	−	9.06220e-5i
$991$			23.6093i			0.749973i	0.927030	+	0.374987i	$0.122353\pi$
$991$			23.6093i			0.749973i	−0.927030	+	0.374987i	$0.877647\pi$
$992$	10.8617	−	14.1991i	0.344860	−	0.450821i
$993$	30.5260	−	30.5260i	0.968715	−	0.968715i
$994$	0.0515253	+	1.94550i	0.00163428	+	0.0617074i
$995$	−4.79709	+	4.79709i	−0.152078	+	0.152078i
$996$	−21.4548	+	23.8566i	−0.679822	+	0.755925i
$997$	1.47855			0.0468261			0.0234131	−	0.999726i	$-0.492547\pi$
$997$	1.47855			0.0468261			0.0234131	+	0.999726i	$0.492547\pi$
$998$	0.541493	−	0.570956i	0.0171407	−	0.0180733i
$999$	8.97292	−	8.97292i	0.283891	−	0.283891i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.j.a.31.14	yes	56
4.3	odd	2	inner	260.2.j.a.31.1	✓	56
13.8	odd	4	inner	260.2.j.a.151.1	yes	56
52.47	even	4	inner	260.2.j.a.151.14	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.j.a.31.1	✓	56	4.3	odd	2	inner
260.2.j.a.31.14	yes	56	1.1	even	1	trivial
260.2.j.a.151.1	yes	56	13.8	odd	4	inner
260.2.j.a.151.14	yes	56	52.47	even	4	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.j (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0374414 + 1.41372i) q^{2} -1.74175i q^{3} +(-1.99720 + 0.105863i) q^{4} +(-0.707107 + 0.707107i) q^{5} +(2.46234 - 0.0652137i) q^{6} +(2.26642 - 2.26642i) q^{7} +(-0.224439 - 2.81951i) q^{8} -0.0336953 q^{9} +O(q^{10})\)	\(q+(0.0374414 + 1.41372i) q^{2} -1.74175i q^{3} +(-1.99720 + 0.105863i) q^{4} +(-0.707107 + 0.707107i) q^{5} +(2.46234 - 0.0652137i) q^{6} +(2.26642 - 2.26642i) q^{7} +(-0.224439 - 2.81951i) q^{8} -0.0336953 q^{9} +(-1.02612 - 0.973174i) q^{10} +(1.59814 - 1.59814i) q^{11} +(0.184387 + 3.47862i) q^{12} +(-0.802125 - 3.51520i) q^{13} +(3.28893 + 3.11922i) q^{14} +(1.23160 + 1.23160i) q^{15} +(3.97759 - 0.422860i) q^{16} +2.66821i q^{17} +(-0.00126160 - 0.0476357i) q^{18} +(1.15916 + 1.15916i) q^{19} +(1.33737 - 1.48709i) q^{20} +(-3.94753 - 3.94753i) q^{21} +(2.31915 + 2.19948i) q^{22} +6.60293 q^{23} +(-4.91088 + 0.390916i) q^{24} -1.00000i q^{25} +(4.93946 - 1.26559i) q^{26} -5.16656i q^{27} +(-4.28655 + 4.76641i) q^{28} -4.10480 q^{29} +(-1.69503 + 1.78725i) q^{30} +(-2.23464 - 2.23464i) q^{31} +(0.746731 + 5.60735i) q^{32} +(-2.78355 - 2.78355i) q^{33} +(-3.77210 + 0.0999017i) q^{34} +3.20520i q^{35} +(0.0672962 - 0.00356710i) q^{36} +(1.73673 + 1.73673i) q^{37} +(-1.59533 + 1.68213i) q^{38} +(-6.12259 + 1.39710i) q^{39} +(2.15240 + 1.83499i) q^{40} +(-8.52565 + 8.52565i) q^{41} +(5.43289 - 5.72850i) q^{42} -8.27355 q^{43} +(-3.02261 + 3.36098i) q^{44} +(0.0238262 - 0.0238262i) q^{45} +(0.247223 + 9.33467i) q^{46} +(0.0921897 - 0.0921897i) q^{47} +(-0.736516 - 6.92796i) q^{48} -3.27328i q^{49} +(1.41372 - 0.0374414i) q^{50} +4.64736 q^{51} +(1.97413 + 6.93562i) q^{52} +12.0006 q^{53} +(7.30406 - 0.193444i) q^{54} +2.26011i q^{55} +(-6.89885 - 5.88151i) q^{56} +(2.01898 - 2.01898i) q^{57} +(-0.153690 - 5.80304i) q^{58} +(-8.17489 + 8.17489i) q^{59} +(-2.59014 - 2.32937i) q^{60} +0.324404 q^{61} +(3.07548 - 3.24282i) q^{62} +(-0.0763676 + 0.0763676i) q^{63} +(-7.89925 + 1.26561i) q^{64} +(3.05281 + 1.91843i) q^{65} +(3.83094 - 4.03938i) q^{66} +(-4.81749 - 4.81749i) q^{67} +(-0.282466 - 5.32894i) q^{68} -11.5007i q^{69} +(-4.53124 + 0.120007i) q^{70} +(0.303597 + 0.303597i) q^{71} +(0.00756254 + 0.0950042i) q^{72} +(6.07038 + 6.07038i) q^{73} +(-2.39022 + 2.52027i) q^{74} -1.74175 q^{75} +(-2.43779 - 2.19237i) q^{76} -7.24408i q^{77} +(-2.20435 - 8.60331i) q^{78} -6.79738i q^{79} +(-2.51357 + 3.11158i) q^{80} -9.09995 q^{81} +(-12.3721 - 11.7336i) q^{82} +(6.51285 + 6.51285i) q^{83} +(8.30189 + 7.46610i) q^{84} +(-1.88671 - 1.88671i) q^{85} +(-0.309774 - 11.6965i) q^{86} +7.14955i q^{87} +(-4.86464 - 4.14727i) q^{88} +(11.7278 + 11.7278i) q^{89} +(0.0345756 + 0.0327914i) q^{90} +(-9.78484 - 6.14895i) q^{91} +(-13.1873 + 0.699007i) q^{92} +(-3.89218 + 3.89218i) q^{93} +(0.133782 + 0.126879i) q^{94} -1.63931 q^{95} +(9.76661 - 1.30062i) q^{96} +(-5.65621 + 5.65621i) q^{97} +(4.62750 - 0.122557i) q^{98} +(-0.0538497 + 0.0538497i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9}+O(q^{10}) \) 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9	\( 56 q - 12 q^{6} + 12 q^{8} - 56 q^{9} + 16 q^{14} - 12 q^{18} - 8 q^{20} - 16 q^{21} - 40 q^{24} - 16 q^{26} - 44 q^{28} + 40 q^{32} - 4 q^{34} + 16 q^{37} + 8 q^{41} + 8 q^{42} + 28 q^{44} - 12 q^{46} + 104 q^{48} + 56 q^{52} - 16 q^{53} + 20 q^{54} - 48 q^{57} - 4 q^{58} + 16 q^{61} - 8 q^{65} + 64 q^{66} + 24 q^{68} - 8 q^{70} - 32 q^{72} + 48 q^{73} - 136 q^{74} - 88 q^{76} + 52 q^{78} - 32 q^{80} + 56 q^{81} - 20 q^{84} - 64 q^{86} - 8 q^{89} - 88 q^{92} - 48 q^{93} - 16 q^{94} - 4 q^{96} - 32 q^{97} + 16 q^{98}+O(q^{100}) \) 56 * q - 12 * q^6 + 12 * q^8 - 56 * q^9 + 16 * q^14 - 12 * q^18 - 8 * q^20 - 16 * q^21 - 40 * q^24 - 16 * q^26 - 44 * q^28 + 40 * q^32 - 4 * q^34 + 16 * q^37 + 8 * q^41 + 8 * q^42 + 28 * q^44 - 12 * q^46 + 104 * q^48 + 56 * q^52 - 16 * q^53 + 20 * q^54 - 48 * q^57 - 4 * q^58 + 16 * q^61 - 8 * q^65 + 64 * q^66 + 24 * q^68 - 8 * q^70 - 32 * q^72 + 48 * q^73 - 136 * q^74 - 88 * q^76 + 52 * q^78 - 32 * q^80 + 56 * q^81 - 20 * q^84 - 64 * q^86 - 8 * q^89 - 88 * q^92 - 48 * q^93 - 16 * q^94 - 4 * q^96 - 32 * q^97 + 16 * q^98

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