LMFDB - Embedded newform 207.4.o.a.11.59

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [207,4,Mod(5,207)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("207.5"); S:= CuspForms(chi, 4); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(207, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([55, 3])) N = Newforms(chi, 4, names="a")

Level:	$N$	$=$	$207 = 3^{2} \cdot 23$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	207.o (of order $66$ , degree $20$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$12.2133953712$
Analytic rank:	$0$
Dimension:	$1400$
Relative dimension:	$70$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.59
Character	$\chi$	$=$	207.11
Dual form			207.4.o.a.113.59

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(4.20053 - 0.200096i) q^{2} +(-5.19593 + 0.0476163i) q^{3} +(9.64066 - 0.920571i) q^{4} +(14.2900 + 13.6255i) q^{5} +(-21.8162 + 1.23970i) q^{6} +(-0.0933403 - 0.484296i) q^{7} +(7.01176 - 1.00814i) q^{8} +(26.9955 - 0.494822i) q^{9} +(62.7519 + 54.3748i) q^{10} +(-51.9676 + 26.7912i) q^{11} +(-50.0484 + 5.24228i) q^{12} +(22.3287 + 4.30350i) q^{13} +(-0.488985 - 2.01562i) q^{14} +(-74.8985 - 70.1165i) q^{15} +(-46.8246 + 9.02470i) q^{16} +(27.6901 + 60.6329i) q^{17} +(113.296 - 7.48020i) q^{18} +(124.610 + 56.9075i) q^{19} +(150.308 + 118.203i) q^{20} +(0.508051 + 2.51192i) q^{21} +(-212.931 + 122.936i) q^{22} +(87.9119 - 66.6220i) q^{23} +(-36.3846 + 5.57210i) q^{24} +(12.6024 + 264.556i) q^{25} +(94.6535 + 13.6091i) q^{26} +(-140.243 + 3.85649i) q^{27} +(-1.34569 - 4.58300i) q^{28} +(14.3726 - 150.517i) q^{29} +(-328.644 - 279.540i) q^{30} +(5.62543 - 4.42388i) q^{31} +(-249.956 + 60.6386i) q^{32} +(268.745 - 141.680i) q^{33} +(128.446 + 249.150i) q^{34} +(5.26492 - 8.19237i) q^{35} +(259.799 - 29.6217i) q^{36} +(28.4039 - 96.7348i) q^{37} +(534.815 + 214.108i) q^{38} +(-116.223 - 21.2975i) q^{39} +(113.934 + 81.1321i) q^{40} +(31.2092 - 32.7313i) q^{41} +(2.63671 + 10.4498i) q^{42} +(-93.6551 + 119.092i) q^{43} +(-476.339 + 306.124i) q^{44} +(392.506 + 360.754i) q^{45} +(355.946 - 297.439i) q^{46} +(-207.654 - 119.889i) q^{47} +(242.868 - 49.1214i) q^{48} +(318.204 - 127.390i) q^{49} +(105.873 + 1108.75i) q^{50} +(-146.763 - 313.726i) q^{51} +(219.225 + 20.9334i) q^{52} +(-86.5688 - 99.9058i) q^{53} +(-588.324 + 44.2614i) q^{54} +(-1107.66 - 325.238i) q^{55} +(-1.14272 - 3.30166i) q^{56} +(-650.175 - 289.754i) q^{57} +(30.2548 - 635.127i) q^{58} +(159.140 - 825.698i) q^{59} +(-786.618 - 607.020i) q^{60} +(-142.103 + 354.955i) q^{61} +(22.7446 - 19.7083i) q^{62} +(-2.75941 - 13.0276i) q^{63} +(-671.776 + 197.251i) q^{64} +(260.439 + 365.736i) q^{65} +(1100.52 - 648.905i) q^{66} +(157.992 - 306.462i) q^{67} +(322.768 + 559.050i) q^{68} +(-453.612 + 350.350i) q^{69} +(20.4762 - 35.4658i) q^{70} +(-550.623 - 856.786i) q^{71} +(188.787 - 30.6847i) q^{72} +(214.463 - 469.609i) q^{73} +(99.9552 - 412.021i) q^{74} +(-78.0782 - 1374.02i) q^{75} +(1253.71 + 433.913i) q^{76} +(17.8255 + 22.6670i) q^{77} +(-492.462 - 66.2051i) q^{78} +(-462.632 + 160.119i) q^{79} +(-792.087 - 509.044i) q^{80} +(728.510 - 26.7159i) q^{81} +(124.546 - 143.734i) q^{82} +(396.665 - 378.219i) q^{83} +(7.21035 + 23.7489i) q^{84} +(-430.460 + 1243.73i) q^{85} +(-369.571 + 518.990i) q^{86} +(-67.5121 + 782.760i) q^{87} +(-337.375 + 240.244i) q^{88} +(-179.099 + 1245.66i) q^{89} +(1720.92 + 1436.82i) q^{90} -11.2154i q^{91} +(786.198 - 723.209i) q^{92} +(-29.0187 + 23.2541i) q^{93} +(-896.247 - 462.047i) q^{94} +(1005.28 + 2511.07i) q^{95} +(1295.87 - 326.976i) q^{96} +(1421.51 + 344.854i) q^{97} +(1311.14 - 598.776i) q^{98} +(-1389.63 + 748.955i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100})$ 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/207\mathbb{Z}\right)^\times$ .

$n$	$28$	$47$
$\chi(n)$	$e\left(\frac{9}{22}\right)$	$e\left(\frac{1}{6}\right)$

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

)

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

$2$	4.20053	−	0.200096i	1.48511	−	0.0707446i	0.710731	−	0.703464i	$-0.248364\pi$
$2$	4.20053	−	0.200096i	1.48511	−	0.0707446i	0.774381	+	0.632719i	$0.218061\pi$
$3$	−5.19593	+	0.0476163i	−0.999958	+	0.00916376i
$3$	−5.19593	+	0.0476163i	−0.999958	+	0.00916376i
$4$	9.64066	−	0.920571i	1.20508	−	0.115071i
$5$	14.2900	+	13.6255i	1.27813	+	1.21870i	0.962954	+	0.269665i	$0.0869131\pi$
$5$	14.2900	+	13.6255i	1.27813	+	1.21870i	0.315179	+	0.949032i	$0.397935\pi$
$6$	−21.8162	+	1.23970i	−1.48440	+	0.0843509i
$7$	−0.0933403	−	0.484296i	−0.00503990	−	0.0261495i	0.979322	−	0.202309i	$-0.0648446\pi$
$7$	−0.0933403	−	0.484296i	−0.00503990	−	0.0261495i	−0.984362	+	0.176160i	$0.943632\pi$
$8$	7.01176	−	1.00814i	0.309879	−	0.0445539i
$9$	26.9955	−	0.494822i	0.999832	−	0.0183268i
$10$	62.7519	+	54.3748i	1.98439	+	1.71948i
$11$	−51.9676	+	26.7912i	−1.42444	+	0.734349i	−0.986362	−	0.164588i	$-0.947370\pi$
$11$	−51.9676	+	26.7912i	−1.42444	+	0.734349i	−0.438077	+	0.898938i	$0.644340\pi$
$12$	−50.0484	+	5.24228i	−1.20398	+	0.126110i
$13$	22.3287	+	4.30350i	0.476374	+	0.0918136i	0.421786	−	0.906695i	$-0.361403\pi$
$13$	22.3287	+	4.30350i	0.476374	+	0.0918136i	0.0545881	+	0.998509i	$0.482615\pi$
$14$	−0.488985	−	2.01562i	−0.00933476	−	0.0384784i
$15$	−74.8985	−	70.1165i	−1.28925	−	1.20693i
$16$	−46.8246	+	9.02470i	−0.731634	+	0.141011i
$17$	27.6901	+	60.6329i	0.395050	+	0.865038i	0.997748	+	0.0670690i	$0.0213648\pi$
$17$	27.6901	+	60.6329i	0.395050	+	0.865038i	−0.602699	+	0.797969i	$0.705908\pi$
$18$	113.296	−	7.48020i	1.48357	−	0.0979500i
$19$	124.610	+	56.9075i	1.50461	+	0.687130i	0.985825	−	0.167778i	$-0.0536590\pi$
$19$	124.610	+	56.9075i	1.50461	+	0.687130i	0.518780	+	0.854908i	$0.326386\pi$
$20$	150.308	+	118.203i	1.68049	+	1.32155i
$21$	0.508051	+	2.51192i	0.00527932	+	0.0261022i
$22$	−212.931	+	122.936i	−2.06350	+	1.19136i
$23$	87.9119	−	66.6220i	0.796996	−	0.603985i
$23$	87.9119	−	66.6220i	0.796996	−	0.603985i
$24$	−36.3846	+	5.57210i	−0.309458	+	0.0473916i
$25$	12.6024	+	264.556i	0.100819	+	2.11645i
$26$	94.6535	+	13.6091i	0.713965	+	0.102653i
$27$	−140.243	+	3.85649i	−0.999622	+	0.0274882i
$28$	−1.34569	−	4.58300i	−0.00908256	−	0.0309324i
$29$	14.3726	−	150.517i	0.0920320	−	0.963803i	−0.825038	−	0.565077i	$-0.808846\pi$
$29$	14.3726	−	150.517i	0.0920320	−	0.963803i	0.917070	−	0.398726i	$-0.130548\pi$
$30$	−328.644	−	279.540i	−2.00006	−	1.70123i
$31$	5.62543	−	4.42388i	0.0325921	−	0.0256307i	−0.601730	−	0.798700i	$-0.705522\pi$
$31$	5.62543	−	4.42388i	0.0325921	−	0.0256307i	0.634322	+	0.773069i	$0.281279\pi$
$32$	−249.956	+	60.6386i	−1.38082	+	0.334984i
$33$	268.745	−	141.680i	1.41765	−	0.747372i
$34$	128.446	+	249.150i	0.647890	+	1.25673i
$35$	5.26492	−	8.19237i	0.0254267	−	0.0395647i
$36$	259.799	−	29.6217i	1.20277	−	0.137137i
$37$	28.4039	−	96.7348i	0.126205	−	0.429813i	−0.872014	−	0.489482i	$-0.837186\pi$
$37$	28.4039	−	96.7348i	0.126205	−	0.429813i	0.998218	+	0.0596681i	$0.0190042\pi$
$38$	534.815	+	214.108i	2.28312	+	0.914023i
$39$	−116.223	−	21.2975i	−0.477196	−	0.0874444i
$40$	113.934	+	81.1321i	0.450364	+	0.320703i
$41$	31.2092	−	32.7313i	0.118880	−	0.124677i	−0.661604	−	0.749853i	$-0.730124\pi$
$41$	31.2092	−	32.7313i	0.118880	−	0.124677i	0.780484	+	0.625176i	$0.214973\pi$
$42$	2.63671	+	10.4498i	0.00968698	+	0.0383912i
$43$	−93.6551	+	119.092i	−0.332146	+	0.422358i	−0.923227	−	0.384254i	$-0.874459\pi$
$43$	−93.6551	+	119.092i	−0.332146	+	0.422358i	0.591082	+	0.806612i	$0.298701\pi$
$44$	−476.339	+	306.124i	−1.63206	+	1.04886i
$45$	392.506	+	360.754i	1.30025	+	1.19507i
$46$	355.946	−	297.439i	1.14090	−	0.953369i
$47$	−207.654	−	119.889i	−0.644456	−	0.372077i	0.141873	−	0.989885i	$-0.454688\pi$
$47$	−207.654	−	119.889i	−0.644456	−	0.372077i	−0.786329	+	0.617808i	$0.788021\pi$
$48$	242.868	−	49.1214i	0.730311	−	0.147710i
$49$	318.204	−	127.390i	0.927710	−	0.371399i
$50$	105.873	+	1108.75i	0.299455	+	3.13603i
$51$	−146.763	−	313.726i	−0.402960	−	0.861381i
$52$	219.225	+	20.9334i	0.584635	+	0.0558259i
$53$	−86.5688	−	99.9058i	−0.224361	−	0.258927i	0.632398	−	0.774644i	$-0.282071\pi$
$53$	−86.5688	−	99.9058i	−0.224361	−	0.258927i	−0.856759	+	0.515717i	$0.827525\pi$
$54$	−588.324	+	44.2614i	−1.48261	+	0.111541i
$55$	−1107.66	−	325.238i	−2.71557	−	0.797364i
$56$	−1.14272	−	3.30166i	−0.00272682	−	0.00787863i
$57$	−650.175	−	289.754i	−1.51084	−	0.673313i
$58$	30.2548	−	635.127i	0.0684940	−	1.43787i
$59$	159.140	−	825.698i	0.351158	−	1.82198i	−0.190866	−	0.981616i	$-0.561130\pi$
$59$	159.140	−	825.698i	0.351158	−	1.82198i	0.542024	−	0.840363i	$-0.317658\pi$
$60$	−786.618	−	607.020i	−1.69253	−	1.30610i
$61$	−142.103	+	354.955i	−0.298268	+	0.745038i	0.701217	+	0.712948i	$0.252641\pi$
$61$	−142.103	+	354.955i	−0.298268	+	0.745038i	−0.999485	+	0.0320899i	$0.989784\pi$
$62$	22.7446	−	19.7083i	0.0465898	−	0.0403703i
$63$	−2.75941	−	13.0276i	−0.00551829	−	0.0260527i
$64$	−671.776	+	197.251i	−1.31206	+	0.385256i
$65$	260.439	+	365.736i	0.496977	+	0.697906i
$66$	1100.52	−	648.905i	2.05250	−	1.21022i
$67$	157.992	−	306.462i	0.288087	−	0.558810i	−0.699735	−	0.714403i	$-0.746698\pi$
$67$	157.992	−	306.462i	0.288087	−	0.558810i	0.987821	+	0.155593i	$0.0497287\pi$
$68$	322.768	+	559.050i	0.575608	+	0.996983i
$69$	−453.612	+	350.350i	−0.791428	+	0.611263i
$70$	20.4762	−	35.4658i	0.0349625	−	0.0605568i
$71$	−550.623	−	856.786i	−0.920380	−	1.43214i	−0.901724	−	0.432313i	$-0.857698\pi$
$71$	−550.623	−	856.786i	−0.920380	−	1.43214i	−0.0186559	−	0.999826i	$-0.505939\pi$
$72$	188.787	−	30.6847i	0.309010	−	0.0502254i
$73$	214.463	−	469.609i	0.343850	−	0.752926i	−0.656149	−	0.754632i	$-0.727816\pi$
$73$	214.463	−	469.609i	0.343850	−	0.752926i	0.999999	+	0.00170551i	$0.000542882\pi$
$74$	99.9552	−	412.021i	0.157021	−	0.647250i
$75$	−78.0782	−	1374.02i	−0.120209	−	2.11544i
$76$	1253.71	+	433.913i	1.89224	+	0.654911i
$77$	17.8255	+	22.6670i	0.0263819	+	0.0335473i
$78$	−492.462	−	66.2051i	−0.714875	−	0.0961057i
$79$	−462.632	+	160.119i	−0.658863	+	0.228035i	−0.635982	−	0.771704i	$-0.719405\pi$
$79$	−462.632	+	160.119i	−0.658863	+	0.228035i	−0.0228805	+	0.999738i	$0.507284\pi$
$80$	−792.087	−	509.044i	−1.10698	−	0.711410i
$81$	728.510	−	26.7159i	0.999328	−	0.0366474i
$82$	124.546	−	143.734i	0.167729	−	0.193570i
$83$	396.665	−	378.219i	0.524574	−	0.500180i	−0.380880	−	0.924624i	$-0.624379\pi$
$83$	396.665	−	378.219i	0.524574	−	0.500180i	0.905454	+	0.424444i	$0.139531\pi$
$84$	7.21035	+	23.7489i	0.00936563	+	0.0308478i
$85$	−430.460	+	1243.73i	−0.549294	+	1.58708i
$86$	−369.571	+	518.990i	−0.463394	+	0.650746i
$87$	−67.5121	+	782.760i	−0.0831961	+	0.964606i
$88$	−337.375	+	240.244i	−0.408685	+	0.291024i
$89$	−179.099	+	1245.66i	−0.213309	+	1.48360i	0.548694	+	0.836023i	$0.315125\pi$
$89$	−179.099	+	1245.66i	−0.213309	+	1.48360i	−0.762003	+	0.647573i	$0.775784\pi$
$90$	1720.92	+	1436.82i	2.01557	+	1.68283i
$91$		−	11.2154i		−	0.0129197i
$92$	786.198	−	723.209i	0.890944	−	0.819563i
$93$	−29.0187	+	23.2541i	−0.0323559	+	0.0259283i
$94$	−896.247	−	462.047i	−0.983413	−	0.506984i
$95$	1005.28	+	2511.07i	1.08568	+	2.71190i
$96$	1295.87	−	326.976i	1.37770	−	0.347624i
$97$	1421.51	+	344.854i	1.48796	+	0.360975i	0.895659	−	0.444742i	$-0.146705\pi$
$97$	1421.51	+	344.854i	1.48796	+	0.360975i	0.592301	+	0.805717i	$0.298220\pi$
$98$	1311.14	−	598.776i	1.35148	−	0.617200i
$99$	−1389.63	+	748.955i	−1.41074	+	0.760331i
$100$	365.038	+	2538.89i	0.365038	+	2.53889i
$101$	−328.520	−	344.541i	−0.323653	−	0.339437i	0.541727	−	0.840555i	$-0.317771\pi$
$101$	−328.520	−	344.541i	−0.323653	−	0.339437i	−0.865379	+	0.501118i	$0.832922\pi$
$102$	−679.259	−	1288.45i	−0.659379	−	1.25074i
$103$	−348.340	−	16.5935i	−0.333232	−	0.0158738i	−0.119701	−	0.992810i	$-0.538194\pi$
$103$	−348.340	−	16.5935i	−0.333232	−	0.0158738i	−0.213531	+	0.976936i	$0.568497\pi$
$104$	160.902	+	7.66470i	0.151709	+	0.00722679i
$105$	−26.9661	+	42.8177i	−0.0250630	+	0.0397960i
$106$	−383.626	−	402.335i	−0.351519	−	0.368663i
$107$	−9.16256	−	63.7270i	−0.00827830	−	0.0575768i	0.985264	−	0.171043i	$-0.0547137\pi$
$107$	−9.16256	−	63.7270i	−0.00827830	−	0.0575768i	−0.993542	+	0.113466i	$0.963805\pi$
$108$	−1348.49	+	166.283i	−1.20146	+	0.148153i
$109$	1567.51	−	715.858i	1.37743	−	0.629053i	0.417345	−	0.908748i	$-0.362961\pi$
$109$	1567.51	−	715.858i	1.37743	−	0.629053i	0.960089	+	0.279695i	$0.0902335\pi$
$110$	−4717.83	−	1144.53i	−4.08934	−	0.992063i
$111$	−142.979	+	503.980i	−0.122261	+	0.430952i
$112$	8.74124	+	21.8346i	0.00737473	+	0.0184212i
$113$	443.707	+	228.747i	0.369385	+	0.190431i	0.632917	−	0.774220i	$-0.281857\pi$
$113$	443.707	+	228.747i	0.369385	+	0.190431i	−0.263533	+	0.964650i	$0.584888\pi$
$114$	−2789.06	−	1087.02i	−2.29140	−	0.893062i
$115$	2164.01	+	245.814i	1.75474	+	0.199324i
$116$		−	1464.31i		−	1.17205i
$117$	604.903	+	105.126i	0.477977	+	0.0830678i
$118$	503.255	−	3500.22i	0.392613	−	2.73069i
$119$	26.7796	−	19.0697i	0.0206293	−	0.0146901i
$120$	−595.857	−	416.132i	−0.453284	−	0.316562i
$121$	1210.81	−	1700.35i	0.909701	−	1.27750i
$122$	−525.881	+	1519.43i	−0.390254	+	1.12757i
$123$	−160.603	+	171.556i	−0.117732	+	0.125762i
$124$	50.1603	−	47.8278i	0.0363268	−	0.0346376i
$125$	−1808.35	+	2086.95i	−1.29395	+	1.49330i
$126$	−14.1977	−	54.1707i	−0.0100384	−	0.0383009i
$127$	1883.44	+	1210.41i	1.31597	+	0.845721i	0.994854	−	0.101320i	$-0.0323066\pi$
$127$	1883.44	+	1210.41i	1.31597	+	0.845721i	0.321113	+	0.947041i	$0.395943\pi$
$128$	−837.869	+	289.989i	−0.578577	+	0.200248i
$129$	480.955	−	623.254i	0.328261	−	0.425384i
$130$	1167.17	+	1484.17i	0.787440	+	1.00131i
$131$	−672.946	−	232.909i	−0.448821	−	0.155338i	0.0933015	−	0.995638i	$-0.470258\pi$
$131$	−672.946	−	232.909i	−0.448821	−	0.155338i	−0.542123	+	0.840299i	$0.682379\pi$
$132$	2460.45	−	1613.28i	1.62238	−	1.06378i
$133$	15.9289	−	65.6598i	0.0103850	−	0.0428077i
$134$	602.329	−	1318.92i	0.388308	−	0.850277i
$135$	−2056.62	−	1855.77i	−1.31115	−	1.18310i
$136$	255.283	+	397.228i	0.160958	+	0.250456i
$137$	−1048.48	+	1816.03i	−0.653855	+	1.13251i	0.328325	+	0.944565i	$0.393516\pi$
$137$	−1048.48	+	1816.03i	−0.653855	+	1.13251i	−0.982180	+	0.187945i	$0.939817\pi$
$138$	−1835.31	+	1562.42i	−1.13212	+	0.963783i
$139$	251.887	+	436.281i	0.153704	+	0.266222i	0.932586	−	0.360947i	$-0.117547\pi$
$139$	251.887	+	436.281i	0.153704	+	0.266222i	−0.778883	+	0.627170i	$0.784213\pi$
$140$	43.2156	−	83.8266i	0.0260885	−	0.0506046i
$141$	1084.67	+	613.048i	0.647839	+	0.366156i
$142$	−2484.35	−	3488.78i	−1.46818	−	2.06178i
$143$	−1275.67	+	374.569i	−0.745989	+	0.219042i
$144$	−1259.59	+	266.796i	−0.728927	+	0.154396i
$145$	2256.25	−	1955.05i	1.29221	−	1.11971i
$146$	806.893	−	2015.52i	0.457390	−	1.14251i
$147$	−1647.30	+	677.061i	−0.924267	+	0.379885i
$148$	184.781	−	958.734i	0.102628	−	0.532483i
$149$	36.5939	−	768.200i	0.0201200	−	0.422372i	−0.966227	−	0.257692i	$-0.917038\pi$
$149$	36.5939	−	768.200i	0.0201200	−	0.422372i	0.986347	−	0.164680i	$-0.0526590\pi$
$150$	−602.905	−	5755.97i	−0.328180	−	3.13316i
$151$	951.955	+	2750.49i	0.513040	+	1.48233i	0.842779	+	0.538259i	$0.180918\pi$
$151$	951.955	+	2750.49i	0.513040	+	1.48233i	−0.329740	+	0.944072i	$0.606961\pi$
$152$	931.106	+	273.397i	0.496860	+	0.145891i
$153$	777.510	+	1623.11i	0.410836	+	0.857653i
$154$	79.4123	+	91.6466i	0.0415534	+	0.0479552i
$155$	140.665	+	13.4318i	0.0728932	+	0.00696046i
$156$	−1140.08	−	98.3301i	−0.585122	−	0.0504661i
$157$	−231.637	−	2425.81i	−0.117749	−	1.23313i	−0.840421	−	0.541934i	$-0.817692\pi$
$157$	−231.637	−	2425.81i	−0.117749	−	1.23313i	0.722672	−	0.691191i	$-0.242914\pi$
$158$	−1911.26	+	765.154i	−0.962353	+	0.385268i
$159$	454.563	+	514.982i	0.226725	+	0.256860i
$160$	−4398.09	−	2539.24i	−2.17312	−	1.25465i
$161$	−40.4705	−	36.3568i	−0.0198107	−	0.0177970i
$162$	3054.79	−	257.993i	1.48152	−	0.125123i
$163$	1163.46	−	747.710i	0.559075	−	0.359296i	−0.230383	−	0.973100i	$-0.573998\pi$
$163$	1163.46	−	747.710i	0.559075	−	0.359296i	0.789458	+	0.613804i	$0.210362\pi$
$164$	270.746	−	344.282i	0.128913	−	0.163926i
$165$	5770.80	+	1637.17i	2.72277	+	0.772446i
$166$	1590.52	−	1668.09i	0.743666	−	0.779934i
$167$	−1925.74	−	1371.31i	−0.892325	−	0.635422i	0.0391475	−	0.999233i	$-0.487536\pi$
$167$	−1925.74	−	1371.31i	−0.892325	−	0.635422i	−0.931473	+	0.363812i	$0.881475\pi$
$168$	6.09469	+	17.1008i	0.00279890	+	0.00785331i
$169$	−1559.57	−	624.359i	−0.709865	−	0.284187i
$170$	−1559.30	+	5310.47i	−0.703485	+	2.39585i
$171$	3392.06	+	1474.58i	1.51695	+	0.659440i
$172$	−793.264	+	1234.34i	−0.351662	+	0.547196i
$173$	−268.810	−	521.418i	−0.118134	−	0.229149i	0.822353	−	0.568978i	$-0.192661\pi$
$173$	−268.810	−	521.418i	−0.118134	−	0.229149i	−0.940487	+	0.339829i	$0.889631\pi$
$174$	−126.960	+	3301.52i	−0.0553149	+	1.43843i
$175$	126.947	−	30.7970i	0.0548360	−	0.0133031i
$176$	2191.58	−	1723.48i	0.938617	−	0.738137i
$177$	−787.566	+	4297.85i	−0.334447	+	1.82512i
$178$	−503.060	+	5268.29i	−0.211831	+	2.21840i
$179$	486.634	+	1657.32i	0.203200	+	0.692034i	0.996529	+	0.0832421i	$0.0265275\pi$
$179$	486.634	+	1657.32i	0.203200	+	0.692034i	−0.793330	+	0.608792i	$0.791654\pi$
$180$	4116.12	+	3116.58i	1.70443	+	1.29053i
$181$	−2587.96	−	372.092i	−1.06277	−	0.152803i	−0.411317	−	0.911492i	$-0.634931\pi$
$181$	−2587.96	−	372.092i	−1.06277	−	0.152803i	−0.651453	+	0.758689i	$0.725840\pi$
$182$	−2.24415	−	47.1106i	−0.000913998	−	0.0191872i
$183$	721.454	−	1851.09i	0.291428	−	0.747740i
$184$	549.253	−	555.765i	0.220062	−	0.222671i
$185$	1723.95	−	995.320i	0.685119	−	0.395554i
$186$	−117.241	+	103.486i	−0.0462179	+	0.0407955i
$187$	−3063.42	−	2409.10i	−1.19796	−	0.942089i
$188$	−2112.29	−	964.649i	−0.819438	−	0.374225i
$189$	14.9580	+	67.5591i	0.00575680	+	0.0260011i
$190$	4725.18	+	10346.7i	1.80421	+	3.95067i
$191$	−1195.85	+	230.482i	−0.453032	+	0.0873147i	−0.410663	−	0.911787i	$-0.634703\pi$
$191$	−1195.85	+	230.482i	−0.453032	+	0.0873147i	−0.0423689	+	0.999102i	$0.513490\pi$
$192$	3481.11	−	1056.89i	1.30848	−	0.397264i
$193$	510.198	+	2103.07i	0.190284	+	0.784363i	0.984306	+	0.176473i	$0.0564688\pi$
$193$	510.198	+	2103.07i	0.190284	+	0.784363i	−0.794021	+	0.607890i	$0.792016\pi$
$194$	6040.09	+	1164.13i	2.23532	+	0.430823i
$195$	−1370.64	−	1887.94i	−0.503351	−	0.693323i
$196$	2950.43	−	1521.05i	1.07523	−	0.554319i
$197$	1312.33	+	1137.14i	0.474618	+	0.411258i	0.859048	−	0.511896i	$-0.171057\pi$
$197$	1312.33	+	1137.14i	0.474618	+	0.411258i	−0.384430	+	0.923154i	$0.625602\pi$
$198$	−5687.34	+	3424.07i	−2.04132	+	1.22898i
$199$	−1221.89	+	175.682i	−0.435265	+	0.0625816i	−0.356465	−	0.934309i	$-0.616018\pi$
$199$	−1221.89	+	175.682i	−0.435265	+	0.0625816i	−0.0788000	+	0.996890i	$0.525109\pi$
$200$	355.074	+	1842.30i	0.125538	+	0.651351i
$201$	−806.324	+	1599.88i	−0.282954	+	0.561427i
$202$	−1448.90	−	1381.52i	−0.504674	−	0.481206i
$203$	−74.2362	+	7.08870i	−0.0256668	+	0.00245088i
$204$	−1703.70	−	2889.42i	−0.584720	−	0.991666i
$205$	891.958	−	42.4892i	0.303888	−	0.0144760i
$206$	−1466.53			−0.496011
$207$	2340.26	−	1841.99i	0.785793	−	0.618490i
$208$	−1084.37			−0.361479
$209$	−8000.30	+	381.101i	−2.64781	+	0.126131i
$210$	−104.704	+	185.253i	−0.0344061	+	0.0608746i
$211$	3199.76	−	305.540i	1.04398	−	0.0996884i	0.441053	−	0.897481i	$-0.354605\pi$
$211$	3199.76	−	305.540i	1.04398	−	0.0996884i	0.602932	+	0.797793i	$0.293999\pi$
$212$	−926.551	−	883.465i	−0.300169	−	0.286210i
$213$	2901.80	+	4425.59i	0.933465	+	1.42364i
$214$	−51.2391	−	265.854i	−0.0163675	−	0.0849224i
$215$	−2961.01	+	425.729i	−0.939253	+	0.135044i
$216$	−979.463	+	168.425i	−0.308537	+	0.0530550i
$217$	−2.66755	−	2.31144i	−0.000834492	−	0.000723092i
$218$	6441.14	−	3320.64i	2.00114	−	1.03166i
$219$	−1091.98	+	2450.27i	−0.336936	+	0.756045i
$220$	−10978.0	−	2115.83i	−3.36424	−	0.648405i
$221$	357.350	+	1473.02i	0.108769	+	0.448353i
$222$	−499.742	+	2145.59i	−0.151083	+	0.648661i
$223$	−1743.69	+	336.069i	−0.523615	+	0.100919i	−0.444208	−	0.895924i	$-0.646515\pi$
$223$	−1743.69	+	336.069i	−0.523615	+	0.100919i	−0.0794071	+	0.996842i	$0.525303\pi$
$224$	52.6980	+	115.392i	0.0157189	+	0.0344196i
$225$	471.115	+	7135.58i	0.139590	+	2.11425i
$226$	1909.58	+	872.075i	0.562049	+	0.256679i
$227$	3254.58	+	2559.43i	0.951604	+	0.748349i	0.967852	−	0.251519i	$-0.0809300\pi$
$227$	3254.58	+	2559.43i	0.951604	+	0.748349i	−0.0162489	+	0.999868i	$0.505172\pi$
$228$	−6534.86	−	2194.89i	−1.89816	−	0.637544i
$229$	4923.59	−	2842.64i	1.42079	−	0.820291i	0.424420	−	0.905465i	$-0.360478\pi$
$229$	4923.59	−	2842.64i	1.42079	−	0.820291i	0.996366	+	0.0851742i	$0.0271447\pi$
$230$	9139.19	+	599.538i	2.62009	+	0.171880i
$231$	−93.6996	−	116.927i	−0.0266882	−	0.0333042i
$232$	−50.9646	−	1069.88i	−0.0144224	−	0.302763i
$233$	−3733.44	−	536.788i	−1.04973	−	0.150928i	−0.404203	−	0.914669i	$-0.632451\pi$
$233$	−3733.44	−	536.788i	−1.04973	−	0.150928i	−0.645522	+	0.763742i	$0.723360\pi$
$234$	2561.95	+	320.548i	0.715726	+	0.0895507i
$235$	−1333.82	−	4542.59i	−0.370252	−	1.26096i
$236$	774.103	−	8106.78i	0.213516	−	2.23604i
$237$	2396.18	−	853.994i	0.656746	−	0.234063i
$238$	108.673	−	85.4614i	0.0295976	−	0.0232758i
$239$	−2238.10	+	542.956i	−0.605734	+	0.146949i	−0.526884	−	0.849937i	$-0.676640\pi$
$239$	−2238.10	+	542.956i	−0.605734	+	0.146949i	−0.0788498	+	0.996887i	$0.525125\pi$
$240$	4139.87	+	2607.24i	1.11345	+	0.701236i
$241$	−107.140	−	207.822i	−0.0286368	−	0.0555477i	0.874083	−	0.485777i	$-0.161463\pi$
$241$	−107.140	−	207.822i	−0.0286368	−	0.0555477i	−0.902720	+	0.430229i	$0.858433\pi$
$242$	4745.82	−	7384.64i	1.26063	−	1.96158i
$243$	−3784.02	+	173.503i	−0.998950	+	0.0458034i
$244$	−1043.20	+	3552.81i	−0.273705	+	0.932154i
$245$	6282.87	+	2515.28i	1.63836	+	0.655900i
$246$	−640.289	+	752.762i	−0.165948	+	0.195099i
$247$	2537.48	+	1806.93i	0.653667	+	0.465474i
$248$	34.9842	−	36.6904i	0.00895767	−	0.00939453i
$249$	−2043.03	+	1984.09i	−0.519968	+	0.504966i
$250$	−7178.44	+	9128.13i	−1.81602	+	2.30925i
$251$	4407.51	−	2832.54i	1.10837	−	0.712304i	0.147429	−	0.989073i	$-0.452900\pi$
$251$	4407.51	−	2832.54i	1.10837	−	0.712304i	0.960936	+	0.276769i	$0.0892637\pi$
$252$	−38.5953	−	123.054i	−0.00964792	−	0.0307607i
$253$	−2783.69	+	5817.45i	−0.691736	+	1.44561i
$254$	8153.63	+	4707.50i	2.01419	+	1.16289i
$255$	2177.42	−	6482.85i	0.534727	−	1.59205i
$256$	1738.41	−	695.952i	0.424415	−	0.169910i
$257$	76.1275	+	797.243i	0.0184774	+	0.193504i	0.999998	+	0.00214620i	$0.000683157\pi$
$257$	76.1275	+	797.243i	0.0184774	+	0.193504i	−0.981520	+	0.191358i	$0.938711\pi$
$258$	1895.56	−	2714.24i	0.457412	−	0.654965i
$259$	−49.4994	−	4.72662i	−0.0118755	−	0.00113397i
$260$	2847.49	+	3286.18i	0.679207	+	0.783847i
$261$	313.516	−	4070.39i	0.0743532	−	0.965328i
$262$	−2873.34	−	843.687i	−0.677539	−	0.198943i
$263$	39.7189	+	114.760i	0.00931243	+	0.0269065i	0.949561	−	0.313582i	$-0.101529\pi$
$263$	39.7189	+	114.760i	0.00931243	+	0.0269065i	−0.940249	+	0.340488i	$0.889408\pi$
$264$	1741.54	−	1264.36i	0.406001	−	0.294756i
$265$	124.196	−	2607.19i	0.0287898	−	0.604371i
$266$	53.7716	−	278.994i	0.0123945	−	0.0643090i
$267$	871.275	−	6480.91i	0.199705	−	1.48549i
$268$	1241.03	−	3099.94i	0.282865	−	0.706563i
$269$	2148.60	−	1861.77i	0.486998	−	0.421987i	−0.376440	−	0.926441i	$-0.622852\pi$
$269$	2148.60	−	1861.77i	0.486998	−	0.421987i	0.863438	+	0.504455i	$0.168306\pi$
$270$	−9010.21	−	7383.69i	−2.03090	−	1.66428i
$271$	−6281.58	+	1844.44i	−1.40804	+	0.413438i	−0.895437	−	0.445188i	$-0.853137\pi$
$271$	−6281.58	+	1844.44i	−1.40804	+	0.413438i	−0.512603	+	0.858626i	$0.671319\pi$
$272$	−1843.77	−	2589.22i	−0.411012	−	0.577185i
$273$	0.534035	+	58.2744i	0.000118393	+	0.0129191i
$274$	−4040.81	+	7838.08i	−0.890929	+	1.72816i
$275$	−7742.68	−	13410.7i	−1.69782	−	2.94072i
$276$	−4050.60	+	3795.18i	−0.883396	+	0.827693i
$277$	−1213.00	+	2100.98i	−0.263113	+	0.455725i	−0.967067	−	0.254520i	$-0.918082\pi$
$277$	−1213.00	+	2100.98i	−0.263113	+	0.455725i	0.703955	+	0.710245i	$0.251416\pi$
$278$	1145.36	+	1782.21i	0.247101	+	0.384496i
$279$	149.672	−	122.208i	0.0321169	−	0.0262237i
$280$	28.6573	−	62.7507i	0.00611643	−	0.0133931i
$281$	−686.294	+	2828.94i	−0.145697	+	0.600571i	0.851406	+	0.524507i	$0.175750\pi$
$281$	−686.294	+	2828.94i	−0.145697	+	0.600571i	−0.997103	+	0.0760638i	$0.975765\pi$
$282$	4678.84	+	2358.09i	0.988017	+	0.497951i
$283$	−8349.99	−	2889.96i	−1.75390	−	0.607032i	−0.755086	−	0.655625i	$-0.772405\pi$
$283$	−8349.99	−	2889.96i	−1.75390	−	0.607032i	−0.998819	+	0.0485930i	$0.984526\pi$
$284$	−6097.10	−	7753.10i	−1.27393	−	1.61994i
$285$	−5342.95	−	12999.5i	−1.11049	−	2.70184i
$286$	−5283.52	+	1828.65i	−1.09238	+	0.378077i
$287$	−18.7647	−	12.0593i	−0.00385939	−	0.00248028i
$288$	−6717.67	+	1760.65i	−1.37445	+	0.360234i
$289$	307.723	−	355.132i	0.0626345	−	0.0722841i
$290$	9086.23	−	8663.71i	1.83987	−	1.75431i
$291$	−7402.47	−	1724.15i	−1.49120	−	0.347325i
$292$	1635.26	−	4724.77i	0.327727	−	0.946905i
$293$	−943.218	+	1324.56i	−0.188066	+	0.264102i	−0.897834	−	0.440333i	$-0.854860\pi$
$293$	−943.218	+	1324.56i	−0.188066	+	0.264102i	0.709768	+	0.704435i	$0.248800\pi$
$294$	−6784.07	+	3173.63i	−1.34577	+	0.629558i
$295$	13524.6	−	9630.84i	2.66927	−	1.90078i
$296$	101.639	−	706.916i	0.0199583	−	0.138813i
$297$	7184.78	−	3957.69i	1.40371	−	0.773227i
$298$		−	3234.17i		−	0.628693i
$299$	2249.67	−	1109.25i	0.435122	−	0.214548i
$300$	−2017.60	−	13174.5i	−0.388288	−	2.53544i
$301$	66.4176	+	34.2406i	0.0127184	+	0.00655680i
$302$	4549.08	+	11363.1i	0.866789	+	2.16513i
$303$	1723.37	+	1774.57i	0.326750	+	0.336457i
$304$	−6348.39	−	1540.10i	−1.19771	−	0.290562i
$305$	−6867.06	+	3136.08i	−1.28920	+	0.588759i
$306$	3590.74	+	6662.36i	0.670813	+	1.24465i
$307$	1372.25	+	9544.23i	0.255109	+	1.77433i	0.566518	+	0.824049i	$0.308290\pi$
$307$	1372.25	+	9544.23i	0.255109	+	1.77433i	−0.311409	+	0.950276i	$0.600801\pi$
$308$	192.716	+	202.115i	0.0356527	+	0.0373915i
$309$	1810.74	+	69.6319i	0.333364	+	0.0128195i
$310$	593.554	+	28.2744i	0.108747	+	0.00518026i
$311$	6612.11	+	314.974i	1.20559	+	0.0574293i	0.640736	−	0.767761i	$-0.278629\pi$
$311$	6612.11	+	314.974i	1.20559	+	0.0574293i	0.564854	+	0.825191i	$0.308932\pi$
$312$	−836.401	−	32.1637i	−0.151769	−	0.00583626i
$313$	−6254.29	−	6559.31i	−1.12944	−	1.18452i	−0.980675	−	0.195646i	$-0.937320\pi$
$313$	−6254.29	−	6559.31i	−1.12944	−	1.18452i	−0.148762	−	0.988873i	$-0.547529\pi$
$314$	−1458.39	−	10143.3i	−0.262108	−	1.82300i
$315$	138.075	−	223.762i	0.0246973	−	0.0400240i
$316$	−4312.68	+	1969.53i	−0.767744	+	0.350617i
$317$	−6276.64	−	1522.70i	−1.11209	−	0.269789i	−0.362689	−	0.931910i	$-0.618141\pi$
$317$	−6276.64	−	1522.70i	−1.11209	−	0.269789i	−0.749397	+	0.662121i	$0.769656\pi$
$318$	2012.45	+	2072.24i	0.354883	+	0.365426i
$319$	3285.61	+	8207.07i	0.576674	+	1.44046i
$320$	−12287.3	−	6334.54i	−2.14650	−	1.10660i
$321$	50.6425	+	330.685i	0.00880557	+	0.0574986i
$322$	−177.272	−	144.620i	−0.0306801	−	0.0250291i
$323$			9131.24i			1.57299i
$324$	6998.72	−	928.205i	1.20006	−	0.159157i
$325$	−857.124	+	5961.43i	−0.146291	+	1.01748i
$326$	4737.54	−	3373.58i	0.804871	−	0.573146i
$327$	−8110.59	+	3794.19i	−1.37161	+	0.641649i
$328$	185.834	−	260.967i	0.0312834	−	0.0439314i
$329$	−38.6793	+	111.756i	−0.00648163	+	0.0187274i
$330$	24568.0	+	5722.27i	4.09826	+	0.954548i
$331$	1175.27	−	1120.62i	0.195162	−	0.186087i	−0.586197	−	0.810169i	$-0.699375\pi$
$331$	1175.27	−	1120.62i	0.195162	−	0.186087i	0.781359	+	0.624082i	$0.214527\pi$
$332$	3475.93	−	4011.44i	0.574598	−	0.663122i
$333$	718.910	−	2625.45i	0.118306	−	0.432054i
$334$	−8363.53	−	5374.91i	−1.37016	−	0.880546i
$335$	6433.39	−	2226.62i	1.04923	−	0.363143i
$336$	−46.4586	−	113.035i	−0.00754323	−	0.0183528i
$337$	−4513.64	−	5739.56i	−0.729595	−	0.927756i	0.269786	−	0.962920i	$-0.413047\pi$
$337$	−4513.64	−	5739.56i	−0.729595	−	0.927756i	−0.999382	+	0.0351643i	$0.988805\pi$
$338$	−6675.97	−	2310.58i	−1.07433	−	0.371831i
$339$	−2316.36	−	1167.43i	−0.371114	−	0.187038i
$340$	−3004.97	+	12386.7i	−0.479316	+	1.97577i
$341$	−173.819	+	380.611i	−0.0276036	+	0.0604434i
$342$	14543.5	+	5515.30i	2.29949	+	0.872027i
$343$	−182.856	−	284.530i	−0.0287851	−	0.0447905i
$344$	−536.626	+	929.463i	−0.0841073	+	0.145678i
$345$	−11255.8	−	1174.19i	−1.75649	−	0.183235i
$346$	−1233.48	−	2136.45i	−0.191654	−	0.331954i
$347$	229.650	−	445.458i	0.0355281	−	0.0689148i	−0.870403	−	0.492339i	$-0.836142\pi$
$347$	229.650	−	445.458i	0.0355281	−	0.0689148i	0.905931	+	0.423425i	$0.139172\pi$
$348$	69.7252	+	7608.47i	0.0107404	+	1.17200i
$349$	−1179.87	−	1656.89i	−0.180965	−	0.254130i	0.714122	−	0.700021i	$-0.246826\pi$
$349$	−1179.87	−	1656.89i	−0.180965	−	0.254130i	−0.895087	+	0.445891i	$0.852887\pi$
$350$	527.083	−	154.765i	0.0804964	−	0.0236359i
$351$	−3148.04	−	517.426i	−0.478718	−	0.0786843i
$352$	11365.0	−	9847.86i	1.72090	−	1.49117i
$353$	−4100.67	+	10243.0i	−0.618291	+	1.54442i	0.206181	+	0.978514i	$0.433896\pi$
$353$	−4100.67	+	10243.0i	−0.618291	+	1.54442i	−0.824472	+	0.565902i	$0.808528\pi$
$354$	−2448.21	+	18210.9i	−0.367574	+	2.73417i
$355$	3805.72	−	19745.9i	0.568976	−	2.95213i
$356$	−579.914	+	12173.9i	−0.0863353	+	1.81240i
$357$	−138.237	+	100.360i	−0.0204938	+	0.0148785i
$358$	2375.75	+	6864.27i	0.350732	+	1.01337i
$359$	7943.14	+	2332.32i	1.16775	+	0.342883i	0.807440	−	0.589949i	$-0.200852\pi$
$359$	7943.14	+	2332.32i	1.16775	+	0.342883i	0.360311	+	0.932832i	$0.382670\pi$
$360$	3115.85	+	2133.82i	0.456166	+	0.312395i
$361$	7797.50	+	8998.80i	1.13683	+	1.31197i
$362$	−10945.3	−	1045.15i	−1.58914	−	0.151745i
$363$	−6210.33	+	8892.54i	−0.897956	+	1.28578i
$364$	−10.3246	−	108.124i	−0.00148669	−	0.0155693i
$365$	9463.31	−	3788.54i	1.35708	−	0.543291i
$366$	2660.09	−	7919.92i	0.379905	−	1.13109i
$367$	3672.41	+	2120.26i	0.522338	+	0.301572i	0.737891	−	0.674920i	$-0.235822\pi$
$367$	3672.41	+	2120.26i	0.522338	+	0.301572i	−0.215553	+	0.976492i	$0.569155\pi$
$368$	−3515.20	+	3912.93i	−0.497941	+	0.554281i
$369$	826.312	−	899.040i	0.116575	−	0.126835i
$370$	7042.33	−	4525.83i	0.989495	−	0.635910i
$371$	−40.3036	+	51.2501i	−0.00564004	+	0.00717190i
$372$	−258.352	+	250.898i	−0.0360079	+	0.0349690i
$373$	1211.62	−	1270.71i	0.168191	−	0.176394i	−0.634244	−	0.773133i	$-0.718689\pi$
$373$	1211.62	−	1270.71i	0.168191	−	0.176394i	0.802435	+	0.596739i	$0.203537\pi$
$374$	−13350.0	−	9506.52i	−1.84576	−	1.31436i
$375$	9296.69	−	10929.7i	1.28021	−	1.50509i
$376$	−1576.88	−	631.289i	−0.216281	−	0.0865858i
$377$	968.672	−	3298.99i	0.132332	−	0.450681i
$378$	76.3499	+	280.791i	0.0103889	+	0.0382073i
$379$	4445.97	−	6918.07i	0.602571	−	0.937618i	−0.397231	−	0.917718i	$-0.630029\pi$
$379$	4445.97	−	6918.07i	0.602571	−	0.937618i	0.999802	−	0.0198996i	$-0.00633467\pi$
$380$	12003.2	+	23283.0i	1.62040	+	3.14313i
$381$	−9843.84	−	6199.53i	−1.32366	−	0.833626i
$382$	−4977.11	+	1207.43i	−0.666626	+	0.161722i
$383$	−7048.61	+	5543.09i	−0.940385	+	0.739527i	−0.965567	−	0.260156i	$-0.916226\pi$
$383$	−7048.61	+	5543.09i	−0.940385	+	0.739527i	0.0251819	+	0.999683i	$0.491984\pi$
$384$	4339.71	−	1546.66i	0.576718	−	0.205541i
$385$	−54.1220	+	566.791i	−0.00716445	+	0.0750295i
$386$	2563.92	+	8731.91i	0.338083	+	1.15141i
$387$	−2469.33	+	3261.29i	−0.324350	+	0.428374i
$388$	14021.7	+	2016.02i	1.83465	+	0.263783i
$389$	68.5473	+	1438.99i	0.00893441	+	0.187556i	0.998923	+	0.0464064i	$0.0147769\pi$
$389$	68.5473	+	1438.99i	0.00893441	+	0.187556i	−0.989988	+	0.141150i	$0.954920\pi$
$390$	−6135.18	−	7656.08i	−0.796582	−	0.994053i
$391$	6473.78	+	3485.58i	0.837322	+	0.450828i
$392$	2102.75	−	1214.02i	0.270930	−	0.156422i
$393$	3507.67	+	1178.14i	0.450226	+	0.151219i
$394$	5740.02	+	4514.00i	0.733955	+	0.577188i
$395$	−8792.68	−	4015.48i	−1.12002	−	0.511496i
$396$	−12707.5	+	8499.67i	−1.61257	+	1.07860i
$397$	−3438.03	−	7528.24i	−0.434634	−	0.951716i	−0.992552	−	0.121820i	$-0.961127\pi$
$397$	−3438.03	−	7528.24i	−0.434634	−	0.951716i	0.557918	−	0.829896i	$-0.311600\pi$
$398$	−5097.44	+	982.452i	−0.641989	+	0.123733i
$399$	−79.6391	+	341.923i	−0.00999233	+	0.0429011i
$400$	−2977.64	−	12274.0i	−0.372205	−	1.53425i
$401$	3592.78	+	692.452i	0.447419	+	0.0862329i	0.407984	−	0.912989i	$-0.366232\pi$
$401$	3592.78	+	692.452i	0.447419	+	0.0862329i	0.0394351	+	0.999222i	$0.487444\pi$
$402$	−3066.86	+	6881.69i	−0.380500	+	0.853799i
$403$	144.647	−	74.5705i	0.0178793	−	0.00921743i
$404$	−3484.32	−	3019.18i	−0.429088	−	0.371806i
$405$	10774.4	+	9544.51i	1.32194	+	1.17104i
$406$	−310.413	+	44.6307i	−0.0379447	+	0.00545562i
$407$	1115.55	+	5788.05i	0.135862	+	0.704921i
$408$	−1345.35	−	2051.81i	−0.163247	−	0.248970i
$409$	6041.79	+	5760.83i	0.730433	+	0.696467i	0.960987	−	0.276593i	$-0.0892054\pi$
$409$	6041.79	+	5760.83i	0.730433	+	0.696467i	−0.230554	+	0.973060i	$0.574054\pi$
$410$	3738.20	−	356.954i	0.450284	−	0.0429969i
$411$	5361.38	−	9485.89i	0.643449	−	1.13845i
$412$	−3373.50	+	160.700i	−0.403399	+	0.0192163i
$413$	−414.736			−0.0494137
$414$	9461.75	−	8205.63i	1.12324	−	0.974117i
$415$	10821.7			1.28004
$416$	−5842.15	+	278.296i	−0.688545	+	0.0327995i
$417$	−1329.56	−	2254.90i	−0.156137	−	0.264803i
$418$	−33529.3	+	3201.66i	−3.92337	+	0.374637i
$419$	−2453.46	−	2339.37i	−0.286061	−	0.272759i	0.533438	−	0.845839i	$-0.320900\pi$
$419$	−2453.46	−	2339.37i	−0.286061	−	0.272759i	−0.819499	+	0.573081i	$0.805748\pi$
$420$	−220.554	+	437.615i	−0.0256236	+	0.0508415i
$421$	290.842	+	1509.03i	0.0336693	+	0.174693i	0.994871	−	0.101155i	$-0.0322537\pi$
$421$	290.842	+	1509.03i	0.0336693	+	0.174693i	−0.961201	+	0.275847i	$0.911042\pi$
$422$	13379.6	−	1923.69i	1.54338	−	0.221905i
$423$	−5665.04	−	3133.71i	−0.651167	−	0.360204i
$424$	−707.719	−	613.242i	−0.0810610	−	0.0702397i
$425$	−15691.8	+	8089.71i	−1.79098	+	0.923314i
$426$	13074.6	+	18009.2i	1.48702	+	2.04823i
$427$	185.167	+	35.6880i	0.0209856	+	0.00404465i
$428$	−146.998	−	605.935i	−0.0166015	−	0.0684322i
$429$	6610.44	−	2006.98i	0.743951	−	0.225869i
$430$	−12352.6	+	2380.78i	−1.38534	+	0.267003i
$431$	−4699.91	−	10291.4i	−0.525259	−	1.15016i	−0.967410	−	0.253217i	$-0.918511\pi$
$431$	−4699.91	−	10291.4i	−0.525259	−	1.15016i	0.442150	−	0.896941i	$-0.354216\pi$
$432$	6532.02	−	1446.23i	0.727482	−	0.161069i
$433$	−1653.88	−	755.301i	−0.183557	−	0.0838278i	0.321516	−	0.946904i	$-0.395807\pi$
$433$	−1653.88	−	755.301i	−0.183557	−	0.0838278i	−0.505074	+	0.863076i	$0.668535\pi$
$434$	−11.6676	−	9.17552i	−0.00129047	−	0.00101484i
$435$	−11630.2	+	10265.7i	−1.28190	+	1.13150i
$436$	14452.8	−	8344.35i	1.58753	−	0.916564i
$437$	14746.0	−	3298.92i	1.61418	−	0.361119i
$438$	−4096.59	+	10510.9i	−0.446901	+	1.14665i
$439$	−350.288	−	7353.45i	−0.0380828	−	0.799456i	−0.934439	−	0.356122i	$-0.884099\pi$
$439$	−350.288	−	7353.45i	−0.0380828	−	0.799456i	0.896357	−	0.443334i	$-0.146204\pi$
$440$	−8094.51	−	1163.81i	−0.877024	−	0.126097i
$441$	8527.04	−	3596.40i	0.920747	−	0.388338i
$442$	1795.81	+	6115.96i	0.193253	+	0.658159i
$443$	35.5998	−	372.818i	0.00381805	−	0.0399844i	−0.993362	−	0.115029i	$-0.963304\pi$
$443$	35.5998	−	372.818i	0.00381805	−	0.0399844i	0.997180	+	0.0750447i	$0.0239099\pi$
$444$	−914.458	+	4990.32i	−0.0977438	+	0.533401i
$445$	−19532.1	+	15360.2i	−2.08069	+	1.63627i
$446$	−7257.18	+	1760.57i	−0.770488	+	0.186918i
$447$	−153.560	+	3993.26i	−0.0162487	+	0.422538i
$448$	158.232	+	306.927i	0.0166869	+	0.0323681i
$449$	4821.93	−	7503.08i	0.506818	−	0.788624i	−0.489710	−	0.871885i	$-0.662897\pi$
$449$	4821.93	−	7503.08i	0.506818	−	0.788624i	0.996528	+	0.0832616i	$0.0265337\pi$
$450$	3406.73	+	29879.0i	0.356878	+	3.13002i
$451$	−744.960	+	2537.10i	−0.0777800	+	0.264894i
$452$	4488.21	+	1796.81i	0.467052	+	0.186979i
$453$	−5077.26	−	14246.1i	−0.526602	−	1.47757i
$454$	14183.1	+	10099.7i	1.46618	+	1.04406i
$455$	152.815	−	160.267i	0.0157452	−	0.0165131i
$456$	−4850.98	−	1376.22i	−0.498176	−	0.141332i
$457$	7595.02	−	9657.85i	0.777418	−	0.988567i	−0.222489	−	0.974935i	$-0.571418\pi$
$457$	7595.02	−	9657.85i	0.777418	−	0.988567i	0.999907	−	0.0136323i	$-0.00433943\pi$
$458$	20112.9	−	12925.8i	2.05200	−	1.31874i
$459$	−4117.18	−	8396.56i	−0.418679	−	0.853852i
$460$	21088.8	+	377.677i	2.13754	+	0.0382810i
$461$	−8238.19	−	4756.32i	−0.832301	−	0.480529i	0.0223388	−	0.999750i	$-0.492889\pi$
$461$	−8238.19	−	4756.32i	−0.832301	−	0.480529i	−0.854640	+	0.519221i	$0.826222\pi$
$462$	−416.985	−	472.409i	−0.0419911	−	0.0475724i
$463$	−9079.87	+	3635.03i	−0.911398	+	0.364869i	−0.779506	−	0.626395i	$-0.784530\pi$
$463$	−9079.87	+	3635.03i	−0.911398	+	0.364869i	−0.131892	+	0.991264i	$0.542105\pi$
$464$	685.378	+	7177.60i	0.0685730	+	0.718129i
$465$	−731.523	−	63.0930i	−0.0729539	−	0.00629219i
$466$	−15789.9	−	1507.75i	−1.56964	−	0.149882i
$467$	−4450.79	−	5136.49i	−0.441024	−	0.508969i	0.491103	−	0.871102i	$-0.336594\pi$
$467$	−4450.79	−	5136.49i	−0.441024	−	0.508969i	−0.932126	+	0.362133i	$0.882049\pi$
$468$	5928.44	+	456.631i	0.585560	+	0.0451021i
$469$	−163.165	−	47.9096i	−0.0160645	−	0.00471698i
$470$	−6511.73	−	18814.4i	−0.639072	−	1.84648i
$471$	1319.08	+	12593.3i	0.129044	+	1.23199i
$472$	283.435	−	5950.03i	0.0276402	−	0.580238i
$473$	1676.41	−	8698.07i	0.162963	−	0.845534i
$474$	9894.36	−	4066.70i	0.958782	−	0.394071i
$475$	−13484.8	+	33683.5i	−1.30258	+	3.25369i
$476$	240.618	−	208.497i	0.0231696	−	0.0200766i
$477$	−2386.40	−	2654.17i	−0.229069	−	0.254771i
$478$	−9292.55	+	2728.54i	−0.889187	+	0.261089i
$479$	−3330.74	−	4677.36i	−0.317714	−	0.446167i	0.624576	−	0.780964i	$-0.285272\pi$
$479$	−3330.74	−	4677.36i	−0.317714	−	0.446167i	−0.942290	+	0.334797i	$0.891332\pi$
$480$	22973.1	+	12984.3i	2.18453	+	1.23469i
$481$	1050.52	−	2037.72i	0.0995834	−	0.193165i
$482$	−491.628	−	851.525i	−0.0464586	−	0.0804686i
$483$	212.013	+	186.981i	0.0199729	+	0.0176147i
$484$	10107.7	−	17507.1i	0.949261	−	1.64417i
$485$	15614.5	+	24296.6i	1.46189	+	2.27475i
$486$	−15860.2	+	1485.97i	−1.48031	+	0.138694i
$487$	−4202.05	+	9201.20i	−0.390992	+	0.856153i	0.607113	+	0.794615i	$0.292328\pi$
$487$	−4202.05	+	9201.20i	−0.390992	+	0.856153i	−0.998105	+	0.0615371i	$0.980400\pi$
$488$	−638.545	+	2632.12i	−0.0592327	+	0.244161i
$489$	−6009.66	+	3940.45i	−0.555759	+	0.364404i
$490$	26894.7	+	9308.35i	2.47955	+	0.858180i
$491$	−12029.6	−	15296.9i	−1.10568	−	1.40599i	−0.904520	−	0.426432i	$-0.859770\pi$
$491$	−12029.6	−	15296.9i	−1.10568	−	1.40599i	−0.201163	−	0.979558i	$-0.564472\pi$
$492$	−1390.39	+	1801.76i	−0.127405	+	0.165101i
$493$	9524.26	−	3296.38i	0.870083	−	0.301139i
$494$	11020.3	+	7082.33i	1.00370	+	0.645038i
$495$	−30062.7	−	8231.85i	−2.72973	−	0.747463i
$496$	−223.484	+	257.914i	−0.0202313	+	0.0233482i
$497$	−363.543	+	346.637i	−0.0328111	+	0.0312853i
$498$	−8184.83	+	8743.04i	−0.736488	+	0.786716i
$499$	900.307	−	2601.26i	0.0807680	−	0.233364i	−0.897386	−	0.441247i	$-0.854536\pi$
$499$	900.307	−	2601.26i	0.0807680	−	0.233364i	0.978154	+	0.207883i	$0.0666574\pi$
$500$	−15512.5	+	21784.3i	−1.38748	+	1.94844i
$501$	10071.3	+	7033.56i	0.898110	+	0.627218i
$502$	17947.1	−	12780.1i	1.59566	−	1.13626i
$503$	1337.01	−	9299.12i	0.118518	−	0.824309i	−0.840672	−	0.541545i	$-0.817840\pi$
$503$	1337.01	−	9299.12i	0.118518	−	0.824309i	0.959190	−	0.282764i	$-0.0912512\pi$
$504$	−32.4819	−	88.5645i	−0.00287075	−	0.00782733i
$505$		−	9399.71i		−	0.828280i
$506$	−10528.9	+	24993.4i	−0.925037	+	2.19583i
$507$	8133.17	+	3169.87i	0.712440	+	0.277670i
$508$	19271.8	+	9935.32i	1.68317	+	0.867733i
$509$	1909.03	+	4768.54i	0.166241	+	0.415249i	0.987973	−	0.154624i	$-0.0494166\pi$
$509$	1909.03	+	4768.54i	0.166241	+	0.415249i	−0.821733	+	0.569873i	$0.806992\pi$
$510$	7849.13	−	27667.1i	0.681501	−	2.40220i
$511$	−247.448	−	60.0302i	−0.0214216	−	0.00519683i
$512$	13615.0	−	6217.78i	1.17521	−	0.536699i
$513$	−17695.2	−	7500.32i	−1.52292	−	0.645512i
$514$	479.301	+	3333.61i	0.0411305	+	0.286069i
$515$	−4751.67	−	4983.41i	−0.406570	−	0.426398i
$516$	4062.97	−	6451.34i	0.346633	−	0.550396i
$517$	14003.3	+	667.057i	1.19122	+	0.0567450i
$518$	−208.870	−	9.94969i	−0.0177166	−	0.000843947i
$519$	1421.55	+	2696.46i	0.120229	+	0.228056i
$520$	2194.85	+	2301.89i	0.185097	+	0.194124i
$521$	−782.732	−	5444.02i	−0.0658198	−	0.457787i	−0.995902	−	0.0904360i	$-0.971174\pi$
$521$	−782.732	−	5444.02i	−0.0658198	−	0.457787i	0.930082	−	0.367351i	$-0.119735\pi$
$522$	502.468	−	17160.5i	0.0421311	−	1.43888i
$523$	7336.41	−	3350.43i	0.613382	−	0.280122i	−0.0844002	−	0.996432i	$-0.526897\pi$
$523$	7336.41	−	3350.43i	0.613382	−	0.280122i	0.697783	+	0.716310i	$0.254170\pi$
$524$	−6702.05	−	1625.90i	−0.558741	−	0.135549i
$525$	−658.142	+	166.064i	−0.0547117	+	0.0138050i
$526$	189.803	+	474.106i	0.0157335	+	0.0393004i
$527$	424.002	+	218.588i	0.0350471	+	0.0180680i
$528$	−11305.2	+	9059.43i	−0.931814	+	0.746707i
$529$	3290.01	−	11713.7i	0.270405	−	0.962747i
$530$		−	10976.4i		−	0.899596i
$531$	3887.49	−	22368.9i	0.317708	−	1.82811i
$532$	93.1206	−	647.668i	0.00758889	−	0.0527819i
$533$	837.721	−	596.538i	0.0680783	−	0.0484783i
$534$	2363.01	−	27397.6i	0.191494	−	2.22025i
$535$	737.377	−	1035.50i	0.0595880	−	0.0836796i
$536$	798.847	−	2308.12i	0.0643748	−	0.185999i
$537$	−2607.43	−	8588.17i	−0.209533	−	0.690143i
$538$	8652.74	−	8250.37i	0.693394	−	0.661150i
$539$	−13123.4	+	15145.2i	−1.04873	+	1.21030i
$540$	−21535.5	−	15997.6i	−1.71619	−	1.27486i
$541$	−8361.78	−	5373.79i	−0.664512	−	0.427056i	0.164431	−	0.986389i	$-0.447421\pi$
$541$	−8361.78	−	5373.79i	−0.664512	−	0.427056i	−0.828943	+	0.559333i	$0.811057\pi$
$542$	−26016.9	+	9004.54i	−2.06185	+	0.713613i
$543$	13464.6	+	1810.14i	1.06413	+	0.143058i
$544$	−10598.0	−	13476.5i	−0.835268	−	1.06213i
$545$	32153.6	+	11128.5i	2.52717	+	0.874662i
$546$	13.9037	+	244.677i	0.00108979	+	0.0191780i
$547$	485.861	−	2002.75i	0.0379779	−	0.156547i	−0.949665	−	0.313267i	$-0.898577\pi$
$547$	485.861	−	2002.75i	0.0379779	−	0.156547i	0.987643	+	0.156719i	$0.0500918\pi$
$548$	−8436.30	+	18472.9i	−0.657629	+	1.44001i
$549$	−3660.48	+	9652.49i	−0.284564	+	0.750379i
$550$	−35206.8	−	54782.9i	−2.72950	−	4.24718i
$551$	10356.5	−	17938.0i	0.800730	−	1.38690i
$552$	−2827.42	+	2913.87i	−0.218013	+	0.224679i
$553$	120.727	+	209.105i	0.00928360	+	0.0160797i
$554$	−4674.86	+	9067.96i	−0.358512	+	0.695416i
$555$	−8910.11	+	5253.71i	−0.681465	+	0.401815i
$556$	2829.99	+	3974.16i	0.215860	+	0.303133i
$557$	−16775.4	+	4925.72i	−1.27612	+	0.374702i	−0.848471	−	0.529243i	$-0.822476\pi$
$557$	−16775.4	+	4925.72i	−1.27612	+	0.374702i	−0.427649	+	0.903945i	$0.640658\pi$
$558$	604.248	−	543.289i	0.0458421	−	0.0412173i
$559$	−2603.71	+	2256.13i	−0.197004	+	0.170705i
$560$	−172.594	+	431.119i	−0.0130240	+	0.0325323i
$561$	16032.0	+	12371.6i	1.20655	+	0.931072i
$562$	−2316.74	+	12020.4i	−0.173889	+	0.902223i
$563$	−371.417	+	7797.01i	−0.0278035	+	0.583667i	0.941383	+	0.337339i	$0.109527\pi$
$563$	−371.417	+	7797.01i	−0.0278035	+	0.583667i	−0.969187	+	0.246328i	$0.920776\pi$
$564$	11021.2	+	4911.68i	0.822833	+	0.366700i
$565$	3223.78	+	9314.49i	0.240045	+	0.693564i
$566$	−35652.7	−	10468.6i	−2.64769	−	0.777432i
$567$	−80.9378	−	350.321i	−0.00599483	−	0.0259472i
$568$	−4724.60	−	5452.48i	−0.349013	−	0.402783i
$569$	−20681.1	−	1974.80i	−1.52372	−	0.145497i	−0.700676	−	0.713479i	$-0.747118\pi$
$569$	−20681.1	−	1974.80i	−1.52372	−	0.145497i	−0.823041	+	0.567982i	$0.807724\pi$
$570$	−25044.4	−	53535.7i	−1.84034	−	3.93397i
$571$	2055.58	+	21527.0i	0.150654	+	1.57772i	0.682507	+	0.730879i	$0.260890\pi$
$571$	2055.58	+	21527.0i	0.150654	+	1.57772i	−0.531853	+	0.846837i	$0.678504\pi$
$572$	−11953.4	+	4785.43i	−0.873773	+	0.349806i
$573$	6202.61	−	1254.51i	0.452212	−	0.0914625i
$574$	−81.2348	−	46.9009i	−0.00590710	−	0.00341047i
$575$	18733.2	+	22418.0i	1.35865	+	1.62591i
$576$	−18037.3	+	5657.30i	−1.30478	+	0.409238i
$577$	−7574.97	+	4868.14i	−0.546534	+	0.351236i	−0.784590	−	0.620015i	$-0.787126\pi$
$577$	−7574.97	+	4868.14i	−0.546534	+	0.351236i	0.238056	+	0.971252i	$0.423490\pi$
$578$	1221.54	−	1553.32i	0.0879056	−	0.111781i
$579$	−2751.10	−	10903.1i	−0.197464	−	0.782586i
$580$	19951.9	−	20925.0i	1.42838	−	1.49804i
$581$	−220.195	−	156.800i	−0.0157233	−	0.0111965i
$582$	−31439.3	−	5761.14i	−2.23918	−	0.410321i
$583$	7175.37	+	2872.58i	0.509732	+	0.204066i
$584$	1030.33	−	3509.00i	0.0730060	−	0.248636i
$585$	7211.65	+	9744.33i	0.509684	+	0.688681i
$586$	−3696.98	+	5752.61i	−0.260615	+	0.405526i
$587$	−543.260	−	1053.78i	−0.0381989	−	0.0740955i	0.868964	−	0.494876i	$-0.164787\pi$
$587$	−543.260	−	1053.78i	−0.0381989	−	0.0740955i	−0.907162	+	0.420781i	$0.861756\pi$
$588$	−15257.8	+	8043.77i	−1.07010	+	0.564149i
$589$	952.737	−	231.131i	0.0666500	−	0.0161691i
$590$	54883.5	−	43160.9i	3.82969	−	3.01170i
$591$	−6872.93	−	5846.02i	−0.478366	−	0.406892i
$592$	−456.998	+	4785.90i	−0.0317272	+	0.332262i
$593$	6390.62	+	21764.5i	0.442549	+	1.50718i	0.815183	+	0.579204i	$0.196637\pi$
$593$	6390.62	+	21764.5i	0.442549	+	1.50718i	−0.372634	+	0.927978i	$0.621545\pi$
$594$	29388.0	−	18062.1i	2.02997	−	1.24763i
$595$	642.513	+	92.3795i	0.0442697	+	0.00636503i
$596$	−354.394	−	7439.64i	−0.0243566	−	0.511308i
$597$	6340.51	−	971.012i	0.434673	−	0.0665676i
$598$	9227.84	−	5109.60i	0.631028	−	0.349410i
$599$	−18775.4	+	10840.0i	−1.28071	+	0.739416i	−0.976977	−	0.213342i	$-0.931565\pi$
$599$	−18775.4	+	10840.0i	−1.28071	+	0.739416i	−0.303729	+	0.952759i	$0.598232\pi$
$600$	−1932.66	−	9555.55i	−0.131501	−	0.650173i
$601$	16793.0	+	13206.1i	1.13977	+	0.896322i	0.995644	−	0.0932377i	$-0.0297217\pi$
$601$	16793.0	+	13206.1i	1.13977	+	0.896322i	0.144122	+	0.989560i	$0.453964\pi$
$602$	285.841	+	130.539i	0.0193522	+	0.00883783i
$603$	4113.43	−	8351.26i	0.277797	−	0.563996i
$604$	11709.5	+	25640.2i	0.788829	+	1.72729i
$605$	40470.4	−	7800.04i	2.71960	−	0.524160i
$606$	7594.16	+	7109.30i	0.509062	+	0.476561i
$607$	85.3932	+	351.996i	0.00571006	+	0.0235372i	0.974595	−	0.223973i	$-0.0719028\pi$
$607$	85.3932	+	351.996i	0.00571006	+	0.0235372i	−0.968885	+	0.247510i	$0.920388\pi$
$608$	−34597.8	−	6668.18i	−2.30777	−	0.444787i
$609$	385.389	−	40.3673i	0.0256433	−	0.00268598i
$610$	−28217.8	+	14547.3i	−1.87296	+	0.965578i
$611$	−4120.70	−	3570.61i	−0.272841	−	0.236418i
$612$	8989.90	+	14932.1i	0.593783	+	0.986266i
$613$	−6347.82	+	912.679i	−0.418248	+	0.0601350i	−0.348226	−	0.937410i	$-0.613216\pi$
$613$	−6347.82	+	912.679i	−0.418248	+	0.0601350i	−0.0700218	+	0.997545i	$0.522307\pi$
$614$	7673.96	+	39816.3i	0.504390	+	2.61703i
$615$	−4632.53	+	263.243i	−0.303743	+	0.0172601i
$616$	147.840	+	140.965i	0.00966986	+	0.00922019i
$617$	−1521.43	+	145.279i	−0.0992714	+	0.00947927i	−0.144574	−	0.989494i	$-0.546181\pi$
$617$	−1521.43	+	145.279i	−0.0992714	+	0.00947927i	0.0453021	+	0.998973i	$0.485575\pi$
$618$	7620.01	−	69.8309i	0.495990	−	0.00454532i
$619$	−5460.45	+	260.113i	−0.354562	+	0.0168899i	−0.224108	−	0.974564i	$-0.571947\pi$
$619$	−5460.45	+	260.113i	−0.354562	+	0.0168899i	−0.130455	+	0.991454i	$0.541644\pi$
$620$	1368.46			0.0886433
$621$	−12072.1	+	9682.31i	−0.780092	+	0.625665i
$622$	27837.4			1.79450
$623$	619.986	−	29.5336i	0.0398704	−	0.00189926i
$624$	5634.31	−	51.6337i	0.361463	−	0.00331250i
$625$	−21319.7	+	2035.79i	−1.36446	+	0.130290i
$626$	−27583.9	−	26301.2i	−1.76114	−	1.67924i
$627$	41550.9	−	2361.12i	2.64654	−	0.150389i
$628$	−4466.26	−	23173.2i	−0.283795	−	1.47247i
$629$	6651.82	−	956.387i	0.421662	−	0.0606258i
$630$	535.215	−	967.548i	0.0338468	−	0.0611874i
$631$	4793.72	+	4153.78i	0.302433	+	0.262059i	0.792834	−	0.609437i	$-0.208605\pi$
$631$	4793.72	+	4153.78i	0.302433	+	0.262059i	−0.490402	+	0.871496i	$0.663150\pi$
$632$	−3082.44	+	1589.11i	−0.194008	+	0.100018i
$633$	−16611.2	+	1739.93i	−1.04303	+	0.109251i
$634$	−26669.9	−	5140.21i	−1.67066	−	0.321993i
$635$	10421.8	+	42959.4i	0.651304	+	2.68471i
$636$	4856.37	+	4546.30i	0.302779	+	0.283448i
$637$	7653.31	−	1475.05i	0.476036	−	0.0917485i
$638$	15443.5	+	33816.6i	0.958331	+	2.09845i
$639$	−15288.3	−	22856.9i	−0.946472	−	1.41503i
$640$	−15924.4	−	7272.41i	−0.983540	−	0.449168i
$641$	−10657.1	−	8380.83i	−0.656677	−	0.516417i	0.233310	−	0.972402i	$-0.425044\pi$
$641$	−10657.1	−	8380.83i	−0.656677	−	0.516417i	−0.889987	+	0.455986i	$0.849287\pi$
$642$	278.894	+	1378.92i	0.0171450	+	0.0847689i
$643$	12903.2	−	7449.65i	0.791370	−	0.456898i	−0.0490743	−	0.998795i	$-0.515627\pi$
$643$	12903.2	−	7449.65i	0.791370	−	0.456898i	0.840445	+	0.541897i	$0.182294\pi$
$644$	−423.631	−	313.248i	−0.0259214	−	0.0191672i
$645$	15365.0	−	2353.05i	0.937976	−	0.143646i
$646$	1827.13	+	38356.1i	0.111281	+	2.33607i
$647$	23717.7	+	3410.09i	1.44117	+	0.207209i	0.818155	−	0.574998i	$-0.194997\pi$
$647$	23717.7	+	3410.09i	1.44117	+	0.207209i	0.623018	+	0.782208i	$0.285906\pi$
$648$	5081.20	−	921.765i	0.308038	−	0.0558802i
$649$	13851.3	+	47173.1i	0.837767	+	2.85317i
$650$	−2407.52	+	25212.7i	−0.145278	+	1.52142i
$651$	13.9705	+	11.8831i	0.000841084	+	0.000715414i
$652$	10528.2	−	8279.46i	0.632386	−	0.497314i
$653$	1881.99	−	456.566i	0.112784	−	0.0273611i	−0.178970	−	0.983855i	$-0.557276\pi$
$653$	1881.99	−	456.566i	0.112784	−	0.0273611i	0.291754	+	0.956493i	$0.405761\pi$
$654$	−33309.6	+	17560.5i	−1.99160	+	1.04995i
$655$	−6442.88	−	12497.5i	−0.384342	−	0.745520i
$656$	−1165.97	+	1814.28i	−0.0693955	+	0.107982i
$657$	5557.16	−	12783.4i	0.329993	−	0.759101i
$658$	−140.111	+	477.176i	−0.00830109	+	0.0282709i
$659$	22740.0	+	9103.74i	1.34420	+	0.538136i	0.928488	−	0.371362i	$-0.121109\pi$
$659$	22740.0	+	9103.74i	1.34420	+	0.538136i	0.415710	+	0.909497i	$0.363533\pi$
$660$	57141.5	+	10471.0i	3.37004	+	0.617548i
$661$	15713.7	+	11189.7i	0.924647	+	0.658438i	0.939902	−	0.341445i	$-0.110916\pi$
$661$	15713.7	+	11189.7i	0.924647	+	0.658438i	−0.0152546	+	0.999884i	$0.504856\pi$
$662$	4712.53	−	4942.36i	0.276673	−	0.290167i
$663$	−1926.91	−	7636.69i	−0.112873	−	0.447337i
$664$	2400.02	−	3051.87i	0.140269	−	0.178367i
$665$	1122.27	−	721.238i	0.0654432	−	0.0420578i
$666$	2494.46	−	11172.2i	0.145133	−	0.650018i
$667$	−8764.21	−	14189.8i	−0.508773	−	0.823733i
$668$	−19827.8	−	11447.6i	−1.14844	−	0.663054i
$669$	9044.10	−	1829.22i	0.522668	−	0.105713i
$670$	26578.1	−	10640.3i	1.53254	−	0.613537i
$671$	−2124.93	−	22253.3i	−0.122253	−	1.28029i
$672$	−279.310	−	597.062i	−0.0160336	−	0.0342741i
$673$	−16750.1	−	1599.44i	−0.959391	−	0.0916107i	−0.396404	−	0.918076i	$-0.629742\pi$
$673$	−16750.1	−	1599.44i	−0.959391	−	0.0916107i	−0.562987	+	0.826466i	$0.690348\pi$
$674$	−20108.2	−	23206.0i	−1.14916	−	1.32621i
$675$	−2787.65	−	37053.6i	−0.158958	−	2.11288i
$676$	−15610.1	−	4583.53i	−0.888148	−	0.260784i
$677$	−5674.94	−	16396.7i	−0.322165	−	0.930834i	−0.983526	−	0.180767i	$-0.942142\pi$
$677$	−5674.94	−	16396.7i	−0.322165	−	0.930834i	0.661361	−	0.750068i	$-0.269979\pi$
$678$	−9963.56	−	4440.32i	−0.564378	−	0.251518i
$679$	34.3273	−	720.618i	0.00194015	−	0.0407287i
$680$	−1764.43	+	9154.72i	−0.0995039	+	0.516276i
$681$	−17032.4	−	13143.7i	−0.958421	−	0.739598i
$682$	−653.974	+	1633.55i	−0.0367184	+	0.0917181i
$683$	4679.00	−	4054.38i	0.262133	−	0.227140i	−0.513871	−	0.857867i	$-0.671789\pi$
$683$	4679.00	−	4054.38i	0.262133	−	0.227140i	0.776004	+	0.630728i	$0.217244\pi$
$684$	34059.2	+	11093.3i	1.90393	+	0.620123i
$685$	−39727.0	+	11664.9i	−2.21590	+	0.650647i
$686$	−825.026	−	1158.59i	−0.0459179	−	0.0644826i
$687$	−25447.3	+	15004.6i	−1.41321	+	0.833277i
$688$	3310.59	−	6421.65i	0.183452	−	0.355848i
$689$	−1503.02	−	2603.32i	−0.0831069	−	0.143945i
$690$	−47515.2	−	2679.98i	−2.62155	−	0.147863i
$691$	6474.92	−	11214.9i	0.356465	−	0.617416i	−0.630902	−	0.775862i	$-0.717315\pi$
$691$	6474.92	−	11214.9i	0.356465	−	0.617416i	0.987368	+	0.158446i	$0.0506484\pi$
$692$	−3071.51	−	4779.36i	−0.168730	−	0.262549i
$693$	492.424	+	603.086i	0.0269923	+	0.0330582i
$694$	875.516	−	1917.11i	0.0478878	−	0.104860i
$695$	−2345.07	+	9666.52i	−0.127991	+	0.527586i
$696$	315.752	+	5556.59i	0.0171962	+	0.302618i
$697$	2848.78	+	985.973i	0.154814	+	0.0535816i
$698$	−5287.61	−	6723.74i	−0.286732	−	0.364609i
$699$	19424.3	+	2611.34i	1.05106	+	0.141302i
$700$	1195.50	−	413.767i	0.0645510	−	0.0223413i
$701$	−9146.68	−	5878.21i	−0.492818	−	0.316715i	0.270520	−	0.962714i	$-0.412804\pi$
$701$	−9146.68	−	5878.21i	−0.492818	−	0.316715i	−0.763338	+	0.646000i	$0.776441\pi$
$702$	−13327.0	−	1543.56i	−0.716517	−	0.0829882i
$703$	9044.34	−	10437.7i	0.485226	−	0.559980i
$704$	29626.0	−	28248.4i	1.58604	−	1.51229i
$705$	7146.77	+	23539.5i	0.381791	+	1.25752i
$706$	−15175.4	+	43846.5i	−0.808972	+	2.33737i
$707$	−136.196	+	191.260i	−0.00724493	+	0.0101741i
$708$	−3636.17	+	42159.1i	−0.193017	+	2.23791i
$709$	−16766.2	+	11939.2i	−0.888109	+	0.632420i	−0.930344	−	0.366688i	$-0.880492\pi$
$709$	−16766.2	+	11939.2i	−0.888109	+	0.632420i	0.0422350	+	0.999108i	$0.486552\pi$
$710$	12035.0	−	83705.0i	0.636146	−	4.42449i
$711$	−12409.7	+	4551.39i	−0.654573	+	0.240071i
$712$			8914.85i			0.469239i
$713$	199.814	−	763.689i	0.0104952	−	0.0401128i
$714$	−560.588	+	449.226i	−0.0293830	+	0.0235460i
$715$	−23332.9	−	12028.9i	−1.22042	−	0.629170i
$716$	6217.15	+	15529.7i	0.324506	+	0.810576i
$717$	11603.1	−	2927.74i	0.604362	−	0.152494i
$718$	33832.1	+	8207.58i	1.75850	+	0.426607i
$719$	−9823.96	+	4486.45i	−0.509558	+	0.232707i	−0.653566	−	0.756869i	$-0.726728\pi$
$719$	−9823.96	+	4486.45i	−0.509558	+	0.232707i	0.144009	+	0.989576i	$0.454001\pi$
$720$	−21634.7	−	13349.9i	−1.11983	−	0.691003i
$721$	24.4780	+	170.248i	0.00126437	+	0.00879386i
$722$	34554.3	+	36239.5i	1.78113	+	1.86800i
$723$	566.586	+	1074.73i	0.0291446	+	0.0552829i
$724$	−25292.2	−	1204.81i	−1.29831	−	0.0618461i
$725$	40001.3	+	1905.50i	2.04912	+	0.0976115i
$726$	−24307.3	+	38596.1i	−1.24260	+	1.97305i
$727$	−12725.2	−	13345.8i	−0.649176	−	0.680836i	0.314088	−	0.949394i	$-0.398301\pi$
$727$	−12725.2	−	13345.8i	−0.649176	−	0.680836i	−0.963264	+	0.268558i	$0.913453\pi$
$728$	−11.3067	−	78.6395i	−0.000575622	−	0.00400354i
$729$	19653.3	−	1081.69i	0.998489	−	0.0549557i
$730$	38992.9	−	17807.5i	1.97697	−	0.902854i
$731$	−9814.23	−	2380.91i	−0.496569	−	0.120466i
$732$	5251.23	−	18509.9i	0.265152	−	0.934623i
$733$	−3612.38	−	9023.29i	−0.182028	−	0.454683i	0.809088	−	0.587688i	$-0.199962\pi$
$733$	−3612.38	−	9023.29i	−0.182028	−	0.454683i	−0.991115	+	0.133005i	$0.957537\pi$
$734$	15850.3	+	8171.40i	0.797065	+	0.410916i
$735$	−32765.2	−	12770.1i	−1.64430	−	0.640859i
$736$	−17934.2	+	21983.4i	−0.898186	+	1.10098i
$737$			20158.9i			1.00755i
$738$	3291.06	−	3941.79i	0.164154	−	0.196611i
$739$	642.872	−	4471.27i	0.0320006	−	0.222569i	−0.967545	−	0.252697i	$-0.918682\pi$
$739$	642.872	−	4471.27i	0.0320006	−	0.222569i	0.999546	+	0.0301281i	$0.00959151\pi$
$740$	15703.7	−	11182.6i	0.780108	−	0.555512i
$741$	−13270.6	−	9267.86i	−0.657905	−	0.459465i
$742$	−159.041	+	223.342i	−0.00786873	+	0.0110501i
$743$	−11318.9	+	32703.9i	−0.558885	+	1.61479i	0.211617	+	0.977353i	$0.432127\pi$
$743$	−11318.9	+	32703.9i	−0.558885	+	1.61479i	−0.770501	+	0.637438i	$0.779994\pi$
$744$	−180.029	+	192.307i	−0.00887120	+	0.00947622i
$745$	10990.0	−	10478.9i	0.540459	−	0.515327i
$746$	4835.18	−	5580.10i	0.237304	−	0.273863i
$747$	10521.0	−	10406.5i	0.515319	−	0.509710i
$748$	−31751.1	−	20405.2i	−1.55205	−	0.997444i
$749$	−30.0075	+	10.3857i	−0.00146388	+	0.000506655i
$750$	36864.1	−	47771.0i	1.79478	−	2.32580i
$751$	18917.0	+	24054.9i	0.919162	+	1.16881i	0.985271	+	0.170998i	$0.0546991\pi$
$751$	18917.0	+	24054.9i	0.919162	+	1.16881i	−0.0661090	+	0.997812i	$0.521058\pi$
$752$	10805.3	+	3739.74i	0.523973	+	0.181349i
$753$	−22766.3	+	14927.5i	−1.10179	+	0.722430i
$754$	3408.82	−	14051.4i	0.164645	−	0.678674i
$755$	−23873.3	+	52275.3i	−1.15078	+	2.51986i
$756$	206.398	+	637.545i	0.00992940	+	0.0306710i
$757$	504.866	+	785.586i	0.0242400	+	0.0377181i	0.853162	−	0.521646i	$-0.174682\pi$
$757$	504.866	+	785.586i	0.0242400	+	0.0377181i	−0.828922	+	0.559364i	$0.811045\pi$
$758$	17291.2	−	29949.2i	0.828554	−	1.43510i
$759$	14186.9	−	30359.6i	0.678460	−	1.45189i
$760$	9580.31	+	16593.6i	0.457256	+	0.791990i
$761$	6166.52	−	11961.4i	0.293740	−	0.569776i	−0.695073	−	0.718940i	$-0.744628\pi$
$761$	6166.52	−	11961.4i	0.293740	−	0.569776i	0.988813	+	0.149164i	$0.0476581\pi$
$762$	−42589.9	−	24071.6i	−2.02476	−	1.14439i
$763$	−492.999	−	692.320i	−0.0233916	−	0.0328488i
$764$	−11316.7	+	3322.87i	−0.535893	+	0.157352i
$765$	−11005.0	+	33788.1i	−0.520115	+	1.59688i
$766$	−28498.8	+	24694.3i	−1.34426	+	1.16481i
$767$	7106.79	−	17751.9i	0.334565	−	0.835703i
$768$	−8999.50	+	3698.90i	−0.422840	+	0.173792i
$769$	6350.01	−	32947.0i	0.297773	−	1.54499i	−0.457278	−	0.889324i	$-0.651176\pi$
$769$	6350.01	−	32947.0i	0.297773	−	1.54499i	0.755050	−	0.655667i	$-0.227612\pi$
$770$	−113.929	+	2391.65i	−0.00533208	+	0.111934i
$771$	−433.515	−	4138.80i	−0.0202499	−	0.193327i
$772$	6854.67	+	19805.3i	0.319566	+	0.923326i
$773$	−23379.0	−	6864.70i	−1.08782	−	0.319413i	−0.311817	−	0.950142i	$-0.600938\pi$
$773$	−23379.0	−	6864.70i	−1.08782	−	0.319413i	−0.776003	+	0.630729i	$0.782756\pi$
$774$	−9719.94	+	14193.3i	−0.451390	+	0.659129i
$775$	1241.26	+	1432.49i	0.0575320	+	0.0663955i
$776$	10314.9	+	984.955i	0.477170	+	0.0455642i
$777$	257.421	+	22.2022i	0.0118854	+	0.00102510i
$778$	575.870	+	6030.79i	0.0265372	+	0.277910i
$779$	5751.64	−	2302.61i	0.264536	−	0.105904i
$780$	−14951.8	−	16939.2i	−0.686361	−	0.777590i
$781$	51568.9	+	29773.3i	2.36271	+	1.36411i
$782$	27890.8	+	13345.9i	1.27541	+	0.610294i
$783$	−1435.19	+	21164.4i	−0.0655040	+	0.965969i
$784$	−13750.1	+	8836.68i	−0.626373	+	0.402545i
$785$	29742.7	−	37820.9i	1.35231	−	1.71960i
$786$	14969.8	+	4246.93i	0.679334	+	0.192726i
$787$	−12534.1	+	13145.4i	−0.567716	+	0.595403i	−0.943528	−	0.331293i	$-0.892515\pi$
$787$	−12534.1	+	13145.4i	−0.567716	+	0.595403i	0.375812	+	0.926696i	$0.377364\pi$
$788$	13698.5	+	9754.69i	0.619277	+	0.440985i
$789$	−211.841	−	594.395i	−0.00955861	−	0.0268200i
$790$	−37737.4	−	15107.8i	−1.69954	−	0.680394i
$791$	69.3653	−	236.237i	0.00311801	−	0.0106190i
$792$	−8988.72	+	6652.43i	−0.403283	+	0.298465i
$793$	−4700.51	+	7314.14i	−0.210492	+	0.327532i
$794$	−15947.9	−	30934.7i	−0.712810	−	1.38266i
$795$	−521.168	+	13552.7i	−0.0232502	+	0.604610i
$796$	−11618.1	+	2818.52i	−0.517328	+	0.125502i
$797$	−19845.4	+	15606.6i	−0.882006	+	0.693617i	−0.952710	−	0.303880i	$-0.901718\pi$
$797$	−19845.4	+	15606.6i	−0.882006	+	0.693617i	0.0707041	+	0.997497i	$0.477475\pi$
$798$	−266.109	+	1452.19i	−0.0118047	+	0.0644199i
$799$	1519.26	−	15910.4i	0.0672685	−	0.704468i
$800$	−19192.3	−	65363.1i	−0.848190	−	2.88867i
$801$	−4218.49	+	33715.9i	−0.186084	+	1.48726i
$802$	15230.1	+	2189.76i	0.670568	+	0.0964131i
$803$	1436.23	+	30150.2i	0.0631177	+	1.32500i
$804$	−6300.69	+	16166.2i	−0.276378	+	0.709125i
$805$	−82.9432	−	1070.97i	−0.00363151	−	0.0468902i
$806$	592.672	−	342.179i	0.0259007	−	0.0149538i
$807$	−11075.3	+	9775.96i	−0.483111	+	0.426432i
$808$	−2650.84	−	2084.65i	−0.115416	−	0.0907644i
$809$	−4788.70	−	2186.92i	−0.208111	−	0.0950410i	0.308633	−	0.951181i	$-0.400129\pi$
$809$	−4788.70	−	2186.92i	−0.208111	−	0.0950410i	−0.516743	+	0.856140i	$0.672856\pi$
$810$	47168.0	+	37936.1i	2.04607	+	1.64560i
$811$	−8383.76	−	18357.9i	−0.363001	−	0.794861i	−0.999718	−	0.0237633i	$-0.992435\pi$
$811$	−8383.76	−	18357.9i	−0.363001	−	0.794861i	0.636717	−	0.771098i	$-0.280292\pi$
$812$	−709.160	+	136.679i	−0.0306486	+	0.00590703i
$813$	32550.8	−	9882.68i	1.40419	−	0.426323i
$814$	5844.09	+	24089.7i	0.251640	+	1.03728i
$815$	26813.7	+	5167.91i	1.15244	+	0.222116i
$816$	9703.41	+	13365.6i	0.416283	+	0.573394i
$817$	−18447.6	+	9510.40i	−0.789963	+	0.407254i
$818$	26531.4	+	22989.6i	1.13405	+	0.982657i
$819$	−5.54962	−	302.764i	−0.000236776	−	0.0129175i
$820$	8559.95	−	1230.73i	0.364544	−	0.0524136i
$821$	−4539.61	−	23553.8i	−0.192976	−	1.00126i	−0.941210	−	0.337822i	$-0.890310\pi$
$821$	−4539.61	−	23553.8i	−0.192976	−	1.00126i	0.748234	−	0.663435i	$-0.230902\pi$
$822$	20622.6	−	40918.6i	0.875055	−	1.73625i
$823$	−5732.74	−	5466.16i	−0.242808	−	0.231517i	0.558897	−	0.829237i	$-0.311225\pi$
$823$	−5732.74	−	5466.16i	−0.242808	−	0.231517i	−0.801705	+	0.597720i	$0.796073\pi$
$824$	−2459.20	+	234.825i	−0.103969	+	0.00992783i
$825$	40869.0	+	69312.5i	1.72470	+	2.92503i
$826$	−1742.11	+	82.9871i	−0.0733848	+	0.00349575i
$827$	−26393.7			−1.10979			−0.554896	−	0.831919i	$-0.687242\pi$
$827$	−26393.7			−1.10979			−0.554896	+	0.831919i	$0.687242\pi$
$828$	20865.9	−	19912.4i	0.875775	−	0.835753i
$829$	12343.9			0.517154			0.258577	−	0.965991i	$-0.416746\pi$
$829$	12343.9			0.517154			0.258577	+	0.965991i	$0.416746\pi$
$830$	45457.0	−	2165.39i	1.90101	−	0.0905562i
$831$	6202.64	−	10974.3i	0.258926	−	0.458117i
$832$	−15848.8	+	1513.37i	−0.660405	+	0.0630610i
$833$	16535.1	+	15766.2i	0.687765	+	0.655783i
$834$	−6036.07	−	9205.72i	−0.250614	−	0.382216i
$835$	−8833.99	−	45835.1i	−0.366123	−	1.89963i
$836$	−76777.4	+	11038.9i	−3.17632	+	0.456685i
$837$	−771.867	+	642.114i	−0.0318753	+	0.0265170i
$838$	−10774.0	−	9335.68i	−0.444129	−	0.384840i
$839$	−37249.9	+	19203.7i	−1.53279	+	0.790208i	−0.998482	−	0.0550824i	$-0.982458\pi$
$839$	−37249.9	+	19203.7i	−1.53279	+	0.790208i	−0.534307	+	0.845290i	$0.679428\pi$
$840$	−145.913	+	327.413i	−0.00599344	+	0.0134486i
$841$	1499.49	+	289.003i	0.0614823	+	0.0118497i
$842$	1523.64	+	6280.53i	0.0623612	+	0.257056i
$843$	3431.23	−	14731.7i	0.140187	−	0.601881i
$844$	30566.5	−	5891.22i	1.24662	−	0.240265i
$845$	−13779.1	−	30172.0i	−0.560964	−	1.22834i
$846$	−24423.2	−	12029.7i	−0.992539	−	0.488876i
$847$	−936.488	−	427.680i	−0.0379907	−	0.0173498i
$848$	4955.17	+	3896.79i	0.200662	+	0.157802i
$849$	43523.6	+	14618.4i	1.75939	+	0.590935i
$850$	−64295.4	+	37121.0i	−2.59449	+	1.49793i
$851$	−3947.62	−	10396.5i	−0.159016	−	0.418785i
$852$	32049.3	+	39994.3i	1.28872	+	1.60819i
$853$	−937.578	−	19682.2i	−0.0376343	−	0.790041i	−0.936256	−	0.351318i	$-0.885734\pi$
$853$	−937.578	−	19682.2i	−0.0376343	−	0.790041i	0.898622	−	0.438724i	$-0.144569\pi$
$854$	784.941	+	112.857i	0.0314521	+	0.00452213i
$855$	28380.6	+	67290.2i	1.13520	+	2.69155i
$856$	−128.491	−	437.601i	−0.00513054	−	0.0174730i
$857$	3126.20	−	32739.1i	0.124608	−	1.30495i	−0.689519	−	0.724267i	$-0.742178\pi$
$857$	3126.20	−	32739.1i	0.124608	−	1.30495i	0.814127	−	0.580687i	$-0.197216\pi$
$858$	27365.8	−	9753.10i	1.08887	−	0.388072i
$859$	15799.6	−	12425.0i	0.627563	−	0.493521i	−0.252990	−	0.967469i	$-0.581414\pi$
$859$	15799.6	−	12425.0i	0.627563	−	0.493521i	0.880553	+	0.473948i	$0.157171\pi$
$860$	−28154.2	+	6830.13i	−1.11634	+	0.270820i
$861$	98.0744	+	61.7661i	0.00388196	+	0.00244481i
$862$	−21801.4	−	42288.8i	−0.861437	−	1.67095i
$863$	16470.6	−	25628.8i	0.649672	−	1.01091i	−0.347639	−	0.937628i	$-0.613017\pi$
$863$	16470.6	−	25628.8i	0.649672	−	1.01091i	0.997311	−	0.0732810i	$-0.0233470\pi$
$864$	34820.7	−	9468.10i	1.37109	−	0.372814i
$865$	3263.28	−	11113.7i	0.128271	−	0.436852i
$866$	−7098.30	−	2841.73i	−0.278534	−	0.111508i
$867$	−1582.00	+	1859.89i	−0.0619695	+	0.0728550i
$868$	−27.8448	−	19.8282i	−0.00108884	−	0.000775359i
$869$	19752.1	−	20715.4i	0.771053	−	0.808657i
$870$	−46798.9	+	45448.7i	−1.82372	+	1.77110i
$871$	4846.62	−	6162.98i	0.188544	−	0.239753i
$872$	10269.3	−	6599.69i	0.398811	−	0.256300i
$873$	38544.9	+	8606.09i	1.49433	+	0.333645i
$874$	61280.9	−	16807.8i	2.37169	−	0.650497i
$875$	1179.49	+	680.979i	0.0455704	+	0.0263101i
$876$	−8271.72	+	24627.5i	−0.319036	+	0.949869i
$877$	−27171.8	+	10878.0i	−1.04621	+	0.418840i	−0.830150	−	0.557540i	$-0.811745\pi$
$877$	−27171.8	+	10878.0i	−1.04621	+	0.418840i	−0.216061	+	0.976380i	$0.569321\pi$
$878$	−2942.79	−	30818.3i	−0.113114	−	1.18459i
$879$	4837.83	−	6927.26i	0.185638	−	0.265814i
$880$	54800.8	+	5232.84i	2.09924	+	0.200453i
$881$	14251.2	+	16446.8i	0.544990	+	0.628952i	0.959708	−	0.280998i	$-0.0906654\pi$
$881$	14251.2	+	16446.8i	0.544990	+	0.628952i	−0.414718	+	0.909950i	$0.636120\pi$
$882$	35098.5	−	16813.0i	1.33994	−	0.641864i
$883$	−7533.24	−	2211.96i	−0.287105	−	0.0843016i	0.135009	−	0.990844i	$-0.456894\pi$
$883$	−7533.24	−	2211.96i	−0.287105	−	0.0843016i	−0.422114	+	0.906543i	$0.638712\pi$
$884$	4801.11	+	13871.9i	0.182668	+	0.527786i
$885$	−69814.5	+	50685.2i	−2.65174	+	1.92516i
$886$	74.9386	−	1573.16i	0.00284155	−	0.0596515i
$887$	−7827.84	+	40614.7i	−0.296317	+	1.53744i	0.462788	+	0.886469i	$0.346849\pi$
$887$	−7827.84	+	40614.7i	−0.296317	+	1.53744i	−0.759105	+	0.650969i	$0.774363\pi$
$888$	−494.450	+	3677.93i	−0.0186854	+	0.138990i
$889$	410.396	−	1025.12i	0.0154828	−	0.0386742i
$890$	−78971.5	+	68429.2i	−2.97430	+	2.57725i
$891$	−37143.2	+	20906.0i	−1.39657	+	0.786058i
$892$	−16500.9	+	4845.11i	−0.619386	+	0.181868i
$893$	−19053.2	−	26756.4i	−0.713987	−	1.00265i
$894$	153.999	+	16804.5i	0.00576119	+	0.628666i
$895$	−15627.8	+	30313.7i	−0.583664	+	1.13215i
$896$	218.648	+	378.709i	0.00815235	+	0.0141203i
$897$	−11636.3	+	5870.73i	−0.433138	+	0.218526i
$898$	18753.4	−	32481.8i	0.696890	−	1.20705i
$899$	−585.017	−	910.305i	−0.0217035	−	0.0337713i
$900$	11110.7	+	68358.0i	0.411506	+	2.53178i
$901$	3660.48	−	8015.32i	0.135348	−	0.296370i
$902$	−2621.56	+	10806.2i	−0.0967722	+	0.398901i
$903$	−346.732	−	174.750i	−0.0127780	−	0.00643998i
$904$	3341.78	+	1156.60i	0.122949	+	0.0425530i
$905$	−31911.9	−	40579.3i	−1.17214	−	1.49050i
$906$	−24177.8	−	58825.1i	−0.886593	−	2.15710i
$907$	−28707.3	+	9935.71i	−1.05095	+	0.363737i	−0.797316	−	0.603563i	$-0.793747\pi$
$907$	−28707.3	+	9935.71i	−1.05095	+	0.363737i	−0.253635	+	0.967300i	$0.581626\pi$
$908$	33732.4	+	21678.5i	1.23287	+	0.792320i
$909$	−9039.02	−	9138.50i	−0.329819	−	0.333449i
$910$	609.834	−	703.786i	0.0222152	−	0.0256377i
$911$	23974.0	−	22859.2i	0.871893	−	0.831348i	−0.114893	−	0.993378i	$-0.536653\pi$
$911$	23974.0	−	22859.2i	0.871893	−	0.831348i	0.986786	+	0.162030i	$0.0518040\pi$
$912$	33059.1	+	7699.98i	1.20033	+	0.279574i
$913$	−10480.8	+	30282.3i	−0.379916	+	1.09770i
$914$	29970.6	−	42087.9i	1.08462	−	1.52313i
$915$	35531.5	−	16621.9i	1.28375	−	0.600548i
$916$	44849.8	−	31937.4i	1.61777	−	1.15201i
$917$	−49.9837	+	347.644i	−0.00180001	+	0.0125193i
$918$	−18974.5	−	34446.2i	−0.682190	−	1.23845i
$919$			5213.25i			0.187127i	0.995613	+	0.0935633i	$0.0298257\pi$
$919$			5213.25i			0.187127i	−0.995613	+	0.0935633i	$0.970174\pi$
$920$	15421.4	−	458.040i	0.552638	−	0.0164143i
$921$	−7584.60	−	49525.8i	−0.271358	−	1.77191i
$922$	−35556.5	−	18330.7i	−1.27006	−	0.654759i
$923$	−8607.52	−	21500.5i	−0.306955	−	0.766737i
$924$	−1010.97	−	1041.00i	−0.0359939	−	0.0370632i
$925$	25949.7	+	6295.33i	0.922402	+	0.223772i
$926$	−37412.9	+	17085.9i	−1.32772	+	0.606348i
$927$	−9411.81	−	275.582i	−0.333467	−	0.00976408i
$928$	5534.62	+	38494.1i	0.195779	+	1.36167i
$929$	−16747.8	−	17564.6i	−0.591473	−	0.620319i	0.358168	−	0.933657i	$-0.383401\pi$
$929$	−16747.8	−	17564.6i	−0.591473	−	0.620319i	−0.949642	+	0.313338i	$0.898553\pi$
$930$	−3085.41	−	118.649i	−0.108790	−	0.00418351i
$931$	46900.9	+	2234.16i	1.65104	+	0.0786485i
$932$	−36487.0	−	1738.09i	−1.28237	−	0.0610869i
$933$	−34371.1	−	1321.74i	−1.20607	−	0.0463792i
$934$	−19723.5	−	20685.4i	−0.690977	−	0.724676i
$935$	−10951.1	−	76166.4i	−0.383036	−	2.66407i
$936$	4347.42	+	127.294i	0.151816	+	0.00444524i
$937$	−12480.5	+	5699.63i	−0.435132	+	0.198718i	−0.620924	−	0.783871i	$-0.713242\pi$
$937$	−12480.5	+	5699.63i	−0.435132	+	0.198718i	0.185792	+	0.982589i	$0.440515\pi$
$938$	−694.967	−	168.597i	−0.0241914	−	0.00586876i
$939$	32809.2	+	33784.0i	1.14024	+	1.17412i
$940$	−17040.7	−	42565.7i	−0.591284	−	1.47696i
$941$	9075.02	+	4678.50i	0.314386	+	0.162077i	0.608197	−	0.793786i	$-0.291893\pi$
$941$	9075.02	+	4678.50i	0.314386	+	0.162077i	−0.293811	+	0.955864i	$0.594924\pi$
$942$	8060.70	+	52634.7i	0.278802	+	1.82052i
$943$	563.039	−	4956.70i	0.0194433	−	0.171169i
$944$			40099.2i			1.38254i
$945$	−706.774	+	1169.23i	−0.0243295	+	0.0402487i
$946$	5301.39	−	36872.0i	0.182202	−	1.26724i
$947$	−42395.0	+	30189.4i	−1.45476	+	1.03593i	−0.466265	+	0.884645i	$0.654401\pi$
$947$	−42395.0	+	30189.4i	−1.45476	+	1.03593i	−0.988491	+	0.151282i	$0.951660\pi$
$948$	22314.6	−	10438.9i	0.764499	−	0.357638i
$949$	6809.65	−	9562.82i	0.232930	−	0.327105i
$950$	−49903.6	+	144187.i	−1.70430	+	4.92425i
$951$	32685.5	+	7612.96i	1.11451	+	0.259587i
$952$	168.548	−	160.710i	0.00573808	−	0.00547125i
$953$	6375.41	−	7357.61i	0.216705	−	0.250091i	−0.636980	−	0.770880i	$-0.719817\pi$
$953$	6375.41	−	7357.61i	0.216705	−	0.250091i	0.853685	+	0.520789i	$0.174362\pi$
$954$	−10555.2	−	10671.4i	−0.358217	−	0.362159i
$955$	−20229.1	−	13000.5i	−0.685445	−	0.440509i
$956$	−21076.9	+	7294.78i	−0.713050	+	0.246789i
$957$	−17462.6	−	42486.9i	−0.589850	−	1.43512i
$958$	−14926.8	−	18980.9i	−0.503406	−	0.640132i
$959$	977.361	+	338.268i	0.0329099	+	0.0113902i
$960$	64145.6	+	32328.8i	2.15655	+	1.08688i
$961$	−7011.42	+	28901.5i	−0.235354	+	0.970141i
$962$	4005.00	−	8769.73i	0.134227	−	0.293916i
$963$	−278.881	−	1715.81i	−0.00933211	−	0.0574154i
$964$	−1224.21	−	1904.91i	−0.0409017	−	0.0636442i
$965$	−21364.5	+	37004.4i	−0.712692	+	1.23442i
$966$	927.982	+	742.995i	0.0309082	+	0.0247469i
$967$	18786.8	+	32539.7i	0.624760	+	1.08212i	0.988587	+	0.150650i	$0.0481366\pi$
$967$	18786.8	+	32539.7i	0.624760	+	1.08212i	−0.363827	+	0.931467i	$0.618530\pi$
$968$	6775.73	−	13143.1i	0.224980	−	0.436400i
$969$	−434.796	−	47445.3i	−0.0144145	−	1.57292i
$970$	70450.8	+	98934.3i	2.33200	+	3.27483i
$971$	18274.0	−	5365.74i	0.603956	−	0.177337i	0.0345623	−	0.999403i	$-0.488996\pi$
$971$	18274.0	−	5365.74i	0.603956	−	0.177337i	0.569393	+	0.822065i	$0.307178\pi$
$972$	−36320.7	+	5156.14i	−1.19855	+	0.170148i
$973$	187.778	−	162.710i	0.00618693	−	0.00536101i
$974$	−15809.7	+	39490.8i	−0.520099	+	1.29914i
$975$	4169.70	−	31016.0i	0.136961	−	1.01878i
$976$	3450.53	−	17903.1i	0.113165	−	0.587154i
$977$	−885.711	+	18593.4i	−0.0290035	+	0.608858i	0.936844	+	0.349747i	$0.113733\pi$
$977$	−885.711	+	18593.4i	−0.0290035	+	0.608858i	−0.965848	+	0.259111i	$0.916570\pi$
$978$	−24455.3	+	17754.5i	−0.799585	+	0.580497i
$979$	−24065.4	−	69532.4i	−0.785632	−	2.26994i
$980$	62886.5	+	18465.1i	2.04983	+	0.601885i
$981$	41961.4	−	20100.6i	1.36567	−	0.654191i
$982$	−53591.8	−	61848.2i	−1.74153	−	2.00983i
$983$	16672.4	+	1592.02i	0.540963	+	0.0516557i	0.361961	−	0.932193i	$-0.382107\pi$
$983$	16672.4	+	1592.02i	0.540963	+	0.0516557i	0.179001	+	0.983849i	$0.442713\pi$
$984$	−953.155	+	1364.82i	−0.0308795	+	0.0442163i
$985$	3259.10	+	34130.8i	0.105425	+	1.10406i
$986$	39347.4	−	15752.3i	1.27087	−	0.508779i
$987$	195.653	−	582.521i	0.00630975	−	0.0187861i
$988$	26126.4	+	15084.1i	0.841286	+	0.485716i
$989$	−299.241	+	16709.1i	−0.00962116	+	0.537228i
$990$	−127926.	−	28562.7i	−4.10683	−	0.916952i
$991$	52025.8	−	33435.0i	1.66766	−	1.07174i	0.762178	−	0.647367i	$-0.224130\pi$
$991$	52025.8	−	33435.0i	1.66766	−	1.07174i	0.905486	−	0.424376i	$-0.139506\pi$
$992$	−1137.85	+	1446.89i	−0.0364181	+	0.0463094i
$993$	−6053.27	+	5878.62i	−0.193449	+	0.187868i
$994$	−1457.71	+	1528.80i	−0.0465149	+	0.0487834i
$995$	−19854.5	−	14138.4i	−0.632594	−	0.450468i
$996$	−17869.7	+	21008.7i	−0.568497	+	0.668359i
$997$	−17474.9	−	6995.91i	−0.555102	−	0.222229i	0.0771128	−	0.997022i	$-0.475430\pi$
$997$	−17474.9	−	6995.91i	−0.555102	−	0.222229i	−0.632215	+	0.774793i	$0.717854\pi$
$998$	3261.26	−	11106.8i	0.103440	−	0.352286i
$999$	−3610.39	+	13675.9i	−0.114342	+	0.433120i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.o.a.11.59	✓	1400
9.5	odd	6	inner	207.4.o.a.149.59	yes	1400
23.21	odd	22	inner	207.4.o.a.182.59	yes	1400
207.113	even	66	inner	207.4.o.a.113.59	yes	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.o.a.11.59	✓	1400	1.1	even	1	trivial
207.4.o.a.113.59	yes	1400	207.113	even	66	inner
207.4.o.a.149.59	yes	1400	9.5	odd	6	inner
207.4.o.a.182.59	yes	1400	23.21	odd	22	inner

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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	207.4.o.a.11.59

Level	$207$
Weight	$4$
Character	207.11
Analytic conductor	$12.213$
Analytic rank	$0$
Dimension	$1400$
Inner twists	$4$