LMFDB - Embedded newform 197.4.e.a.6.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(6,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([13]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("197.6");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$N$	$=$	$197$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	197.e (of order $14$ , degree $6$ , 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:	$11.6233762711$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$48$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			6.18
Character	$\chi$	$=$	197.6
Dual form			197.4.e.a.33.18

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.77835 + 0.405896i) q^{2} +(3.55906 + 0.812332i) q^{3} +(-4.20998 + 2.02742i) q^{4} +(-2.71301 + 5.63362i) q^{5} -6.65897 q^{6} +(-6.79789 + 29.7835i) q^{7} +(18.0729 - 14.4126i) q^{8} +(-12.3191 - 5.93258i) q^{9} +(2.53801 - 11.1197i) q^{10} +(1.46669 - 0.334762i) q^{11} +(-16.6305 + 3.79581i) q^{12} +(4.27585 + 3.40988i) q^{13} -55.7247i q^{14} +(-14.2321 + 17.8465i) q^{15} +(-2.98266 + 3.74013i) q^{16} +(49.8853 - 103.588i) q^{17} +(24.3157 + 5.54991i) q^{18} -149.144 q^{19} -29.2178i q^{20} +(-48.3882 + 100.479i) q^{21} +(-2.47240 + 1.19065i) q^{22} +(-5.84219 - 25.5963i) q^{23} +(76.0303 - 36.6143i) q^{24} +(53.5590 + 67.1608i) q^{25} +(-8.98801 - 4.32840i) q^{26} +(-116.087 - 92.5765i) q^{27} +(-31.7647 - 139.170i) q^{28} +(3.12361 + 13.6854i) q^{29} +(18.0658 - 37.5141i) q^{30} +(-90.6296 + 20.6856i) q^{31} +(-76.4515 + 158.753i) q^{32} +5.49197 q^{33} +(-46.6675 + 204.464i) q^{34} +(-149.346 - 119.100i) q^{35} +63.8912 q^{36} +(28.4364 + 35.6581i) q^{37} +(265.230 - 60.5369i) q^{38} +(12.4481 + 15.6094i) q^{39} +(32.1635 + 140.917i) q^{40} +(-153.112 - 73.7348i) q^{41} +(45.2670 - 198.328i) q^{42} +(-123.951 - 543.067i) q^{43} +(-5.49603 + 4.38294i) q^{44} +(66.8438 - 53.3062i) q^{45} +(20.7789 + 43.1478i) q^{46} +(-36.0545 - 45.2109i) q^{47} +(-13.6537 + 10.8885i) q^{48} +(-531.814 - 256.108i) q^{49} +(-122.507 - 97.6959i) q^{50} +(261.693 - 328.152i) q^{51} +(-24.9145 - 5.68658i) q^{52} +(-519.476 + 250.167i) q^{53} +(244.020 + 117.514i) q^{54} +(-2.09321 + 9.17097i) q^{55} +(306.402 + 636.250i) q^{56} +(-530.812 - 121.154i) q^{57} +(-11.1097 - 23.0696i) q^{58} +(-35.7291 - 156.539i) q^{59} +(23.7346 - 103.988i) q^{60} +(170.408 + 746.605i) q^{61} +(152.775 - 73.5725i) q^{62} +(260.437 - 326.578i) q^{63} +(80.0360 - 350.661i) q^{64} +(-30.8104 + 14.8375i) q^{65} +(-9.76663 + 2.22917i) q^{66} +(-383.617 + 305.925i) q^{67} +537.241i q^{68} -95.8446i q^{69} +(313.932 + 151.182i) q^{70} +(-3.27513 + 6.80087i) q^{71} +(-308.147 + 70.3324i) q^{72} +(378.975 - 302.223i) q^{73} +(-65.0433 - 51.8703i) q^{74} +(136.063 + 282.537i) q^{75} +(627.893 - 302.377i) q^{76} +45.9588i q^{77} +(-28.4728 - 22.7063i) q^{78} +(284.213 + 590.173i) q^{79} +(-12.9785 - 26.9502i) q^{80} +(-107.781 - 135.153i) q^{81} +(302.215 + 68.9786i) q^{82} +548.302 q^{83} -521.119i q^{84} +(448.235 + 562.069i) q^{85} +(440.857 + 915.450i) q^{86} +51.2447i q^{87} +(21.6825 - 27.1890i) q^{88} +(1560.11 + 356.085i) q^{89} +(-97.2348 + 121.929i) q^{90} +(-130.625 + 104.170i) q^{91} +(76.4900 + 95.9154i) q^{92} -339.360 q^{93} +(82.4684 + 65.7664i) q^{94} +(404.628 - 840.220i) q^{95} +(-401.056 + 502.908i) q^{96} +(82.9077 + 39.9262i) q^{97} +(1049.70 + 239.588i) q^{98} +(-20.0543 - 4.57727i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$288 q - 7 q^{2} - 7 q^{3} + 159 q^{4} - 7 q^{5} + 26 q^{6} - 53 q^{7} + 49 q^{8} + 391 q^{9} + 149 q^{10} + 91 q^{11} - 63 q^{12} - 7 q^{13} - 473 q^{15} - 1113 q^{16} - 7 q^{17} - 196 q^{18} + 464 q^{19}+ \cdots + 2464 q^{99}+O(q^{100})$ 288 * q - 7 * q^2 - 7 * q^3 + 159 * q^4 - 7 * q^5 + 26 * q^6 - 53 * q^7 + 49 * q^8 + 391 * q^9 + 149 * q^10 + 91 * q^11 - 63 * q^12 - 7 * q^13 - 473 * q^15 - 1113 * q^16 - 7 * q^17 - 196 * q^18 + 464 * q^19 - 7 * q^21 + 807 * q^22 + 413 * q^23 - 1425 * q^24 + 1195 * q^25 - 543 * q^26 + 455 * q^27 + 174 * q^28 - 906 * q^29 + 798 * q^30 + 917 * q^31 + 945 * q^32 + 894 * q^33 - 219 * q^34 - 7 * q^35 + 3250 * q^36 + 1734 * q^37 - 63 * q^38 - 825 * q^39 + 141 * q^40 + 563 * q^41 + 432 * q^42 - 423 * q^43 + 2149 * q^44 - 3808 * q^45 - 2569 * q^46 - 289 * q^47 - 3703 * q^48 - 3747 * q^49 - 4963 * q^50 - 87 * q^51 + 3654 * q^52 - 1573 * q^53 - 1228 * q^54 + 2825 * q^55 + 98 * q^56 - 518 * q^57 - 5103 * q^58 + 2045 * q^59 + 3375 * q^60 + 287 * q^61 - 2547 * q^62 + 1453 * q^63 + 6475 * q^64 + 1268 * q^65 + 4634 * q^66 - 3577 * q^67 - 814 * q^70 - 273 * q^71 - 1008 * q^72 - 679 * q^73 - 315 * q^74 - 1281 * q^75 + 6078 * q^76 + 4739 * q^78 + 1463 * q^79 + 441 * q^80 - 4427 * q^81 - 7 * q^82 + 4900 * q^83 - 3351 * q^85 + 3472 * q^86 + 3738 * q^88 + 147 * q^89 + 7133 * q^90 - 14133 * q^91 - 803 * q^92 - 4894 * q^93 - 7833 * q^94 - 7700 * q^95 - 16450 * q^96 + 1233 * q^97 - 2030 * q^98 + 2464 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$ .

$n$	$2$
$\chi(n)$	$e\left(\frac{13}{14}\right)$

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

)

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

$2$	−1.77835	+	0.405896i	−0.628741	+	0.143506i	−0.525005	−	0.851099i	$-0.675937\pi$
$2$	−1.77835	+	0.405896i	−0.628741	+	0.143506i	−0.103736	+	0.994605i	$0.533080\pi$
$3$	3.55906	+	0.812332i	0.684941	+	0.156333i	0.550811	−	0.834630i	$-0.314319\pi$
$3$	3.55906	+	0.812332i	0.684941	+	0.156333i	0.134131	+	0.990964i	$0.457176\pi$
$4$	−4.20998	+	2.02742i	−0.526248	+	0.253428i
$5$	−2.71301	+	5.63362i	−0.242659	+	0.503886i	−0.986355	−	0.164631i	$-0.947357\pi$
$5$	−2.71301	+	5.63362i	−0.242659	+	0.503886i	0.743696	+	0.668518i	$0.233071\pi$
$6$	−6.65897			−0.453085
$7$	−6.79789	+	29.7835i	−0.367052	+	1.60816i	0.367782	+	0.929912i	$0.380117\pi$
$7$	−6.79789	+	29.7835i	−0.367052	+	1.60816i	−0.734834	+	0.678247i	$0.762740\pi$
$8$	18.0729	−	14.4126i	0.798716	−	0.636955i
$9$	−12.3191	−	5.93258i	−0.456264	−	0.219725i
$10$	2.53801	−	11.1197i	0.0802588	−	0.351637i
$11$	1.46669	−	0.334762i	0.0402021	−	0.00917587i	−0.202373	−	0.979309i	$-0.564865\pi$
$11$	1.46669	−	0.334762i	0.0402021	−	0.00917587i	0.242575	+	0.970133i	$0.422008\pi$
$12$	−16.6305	+	3.79581i	−0.400068	+	0.0913129i
$13$	4.27585	+	3.40988i	0.0912237	+	0.0727485i	0.668040	−	0.744126i	$-0.267134\pi$
$13$	4.27585	+	3.40988i	0.0912237	+	0.0727485i	−0.576816	+	0.816874i	$0.695705\pi$
$14$		−	55.7247i		−	1.06379i
$15$	−14.2321	+	17.8465i	−0.244981	+	0.307197i
$16$	−2.98266	+	3.74013i	−0.0466040	+	0.0584396i
$17$	49.8853	−	103.588i	0.711704	−	1.47787i	−0.159630	−	0.987177i	$-0.551030\pi$
$17$	49.8853	−	103.588i	0.711704	−	1.47787i	0.871334	−	0.490691i	$-0.163256\pi$
$18$	24.3157	+	5.54991i	0.318404	+	0.0726736i
$19$	−149.144			−1.80084			−0.900420	−	0.435022i	$-0.856740\pi$
$19$	−149.144			−1.80084			−0.900420	+	0.435022i	$0.856740\pi$
$20$		−	29.2178i		−	0.326665i
$21$	−48.3882	+	100.479i	−0.502818	+	1.04411i
$22$	−2.47240	+	1.19065i	−0.0239599	+	0.0115385i
$23$	−5.84219	−	25.5963i	−0.0529644	−	0.232052i	0.941517	−	0.336966i	$-0.109401\pi$
$23$	−5.84219	−	25.5963i	−0.0529644	−	0.232052i	−0.994481	+	0.104913i	$0.966543\pi$
$24$	76.0303	−	36.6143i	0.646651	−	0.311411i
$25$	53.5590	+	67.1608i	0.428472	+	0.537287i
$26$	−8.98801	−	4.32840i	−0.0677959	−	0.0326488i
$27$	−116.087	−	92.5765i	−0.827444	−	0.659865i
$28$	−31.7647	−	139.170i	−0.214392	−	0.939311i
$29$	3.12361	+	13.6854i	0.0200014	+	0.0876318i	0.983944	−	0.178480i	$-0.0571180\pi$
$29$	3.12361	+	13.6854i	0.0200014	+	0.0876318i	−0.963942	+	0.266112i	$0.914261\pi$
$30$	18.0658	−	37.5141i	0.109945	−	0.228303i
$31$	−90.6296	+	20.6856i	−0.525083	+	0.119847i	−0.476842	−	0.878989i	$-0.658219\pi$
$31$	−90.6296	+	20.6856i	−0.525083	+	0.119847i	−0.0482407	+	0.998836i	$0.515361\pi$
$32$	−76.4515	+	158.753i	−0.422339	+	0.876995i
$33$	5.49197			0.0289706
$34$	−46.6675	+	204.464i	−0.235394	+	1.03133i
$35$	−149.346	−	119.100i	−0.721261	−	0.575186i
$36$	63.8912			0.295792
$37$	28.4364	+	35.6581i	0.126349	+	0.158437i	0.840982	−	0.541063i	$-0.181978\pi$
$37$	28.4364	+	35.6581i	0.126349	+	0.158437i	−0.714633	+	0.699499i	$0.753406\pi$
$38$	265.230	−	60.5369i	1.13226	−	0.258431i
$39$	12.4481	+	15.6094i	0.0511099	+	0.0640898i
$40$	32.1635	+	140.917i	0.127137	+	0.557025i
$41$	−153.112	−	73.7348i	−0.583221	−	0.280864i	0.118918	−	0.992904i	$-0.462057\pi$
$41$	−153.112	−	73.7348i	−0.583221	−	0.280864i	−0.702139	+	0.712040i	$0.747772\pi$
$42$	45.2670	−	198.328i	0.166306	−	0.728633i
$43$	−123.951	−	543.067i	−0.439591	−	1.92597i	−0.371916	−	0.928266i	$-0.621299\pi$
$43$	−123.951	−	543.067i	−0.439591	−	1.92597i	−0.0676746	−	0.997707i	$-0.521558\pi$
$44$	−5.49603	+	4.38294i	−0.0188308	+	0.0150171i
$45$	66.8438	−	53.3062i	0.221433	−	0.176587i
$46$	20.7789	+	43.1478i	0.0666017	+	0.138300i
$47$	−36.0545	−	45.2109i	−0.111896	−	0.140313i	0.722730	−	0.691131i	$-0.242887\pi$
$47$	−36.0545	−	45.2109i	−0.111896	−	0.140313i	−0.834625	+	0.550818i	$0.814316\pi$
$48$	−13.6537	+	10.8885i	−0.0410571	+	0.0327419i
$49$	−531.814	−	256.108i	−1.55048	−	0.746671i
$50$	−122.507	−	97.6959i	−0.346502	−	0.276326i
$51$	261.693	−	328.152i	0.718515	−	0.900990i
$52$	−24.9145	−	5.68658i	−0.0664427	−	0.0151651i
$53$	−519.476	+	250.167i	−1.34633	+	0.648359i	−0.961545	−	0.274647i	$-0.911439\pi$
$53$	−519.476	+	250.167i	−1.34633	+	0.648359i	−0.384786	+	0.923006i	$0.625725\pi$
$54$	244.020	+	117.514i	0.614943	+	0.296141i
$55$	−2.09321	+	9.17097i	−0.00513180	+	0.0224839i
$56$	306.402	+	636.250i	0.731154	+	1.51826i
$57$	−530.812	−	121.154i	−1.23347	−	0.281531i
$58$	−11.1097	−	23.0696i	−0.0251514	−	0.0522274i
$59$	−35.7291	−	156.539i	−0.0788395	−	0.345418i	0.920088	−	0.391711i	$-0.128117\pi$
$59$	−35.7291	−	156.539i	−0.0788395	−	0.345418i	−0.998928	+	0.0462922i	$0.985259\pi$
$60$	23.7346	−	103.988i	0.0510687	−	0.223747i
$61$	170.408	+	746.605i	0.357680	+	1.56710i	0.758957	+	0.651141i	$0.225709\pi$
$61$	170.408	+	746.605i	0.357680	+	1.56710i	−0.401277	+	0.915957i	$0.631434\pi$
$62$	152.775	−	73.5725i	0.312942	−	0.150705i
$63$	260.437	−	326.578i	0.520826	−	0.653095i
$64$	80.0360	−	350.661i	0.156320	−	0.684884i
$65$	−30.8104	+	14.8375i	−0.0587932	+	0.0283133i
$66$	−9.76663	+	2.22917i	−0.0182150	+	0.00415745i
$67$	−383.617	+	305.925i	−0.699497	+	0.557830i	−0.907374	−	0.420325i	$-0.861916\pi$
$67$	−383.617	+	305.925i	−0.699497	+	0.557830i	0.207877	+	0.978155i	$0.433345\pi$
$68$			537.241i			0.958090i
$69$		−	95.8446i		−	0.167222i
$70$	313.932	+	151.182i	0.536029	+	0.258138i
$71$	−3.27513	+	6.80087i	−0.00547445	+	0.0113678i	−0.903688	−	0.428191i	$-0.859151\pi$
$71$	−3.27513	+	6.80087i	−0.00547445	+	0.0113678i	0.898214	+	0.439559i	$0.144865\pi$
$72$	−308.147	+	70.3324i	−0.504381	+	0.115122i
$73$	378.975	−	302.223i	0.607613	−	0.484555i	−0.270686	−	0.962668i	$-0.587250\pi$
$73$	378.975	−	302.223i	0.607613	−	0.484555i	0.878298	+	0.478113i	$0.158679\pi$
$74$	−65.0433	−	51.8703i	−0.102177	−	0.0814838i
$75$	136.063	+	282.537i	0.209482	+	0.434994i
$76$	627.893	−	302.377i	0.947688	−	0.456382i
$77$			45.9588i			0.0680194i
$78$	−28.4728	−	22.7063i	−0.0413321	−	0.0329613i
$79$	284.213	+	590.173i	0.404765	+	0.840503i	0.999335	+	0.0364591i	$0.0116079\pi$
$79$	284.213	+	590.173i	0.404765	+	0.840503i	−0.594570	+	0.804044i	$0.702678\pi$
$80$	−12.9785	−	26.9502i	−0.0181380	−	0.0376640i
$81$	−107.781	−	135.153i	−0.147847	−	0.185395i
$82$	302.215	+	68.9786i	0.407001	+	0.0928952i
$83$	548.302			0.725108			0.362554	−	0.931963i	$-0.381905\pi$
$83$	548.302			0.725108			0.362554	+	0.931963i	$0.381905\pi$
$84$		−	521.119i		−	0.676889i
$85$	448.235	+	562.069i	0.571976	+	0.717235i
$86$	440.857	+	915.450i	0.552778	+	1.14785i
$87$			51.2447i			0.0631495i
$88$	21.6825	−	27.1890i	0.0262655	−	0.0329358i
$89$	1560.11	+	356.085i	1.85811	+	0.424101i	0.996509	−	0.0834889i	$-0.0266063\pi$
$89$	1560.11	+	356.085i	1.85811	+	0.424101i	0.861599	+	0.507590i	$0.169463\pi$
$90$	−97.2348	+	121.929i	−0.113883	+	0.142804i
$91$	−130.625	+	104.170i	−0.150475	+	0.120000i
$92$	76.4900	+	95.9154i	0.0866808	+	0.108694i
$93$	−339.360			−0.378387
$94$	82.4684	+	65.7664i	0.0904890	+	0.0721626i
$95$	404.628	−	840.220i	0.436989	−	0.907418i
$96$	−401.056	+	502.908i	−0.426381	+	0.534665i
$97$	82.9077	+	39.9262i	0.0867835	+	0.0417927i	0.476772	−	0.879027i	$-0.341807\pi$
$97$	82.9077	+	39.9262i	0.0867835	+	0.0417927i	−0.389989	+	0.920820i	$0.627521\pi$
$98$	1049.70	+	239.588i	1.08200	+	0.246960i
$99$	−20.0543	−	4.57727i	−0.0203590	−	0.00464680i
$100$	−361.646	−	174.159i	−0.361646	−	0.174159i
$101$	−819.672	+	1027.84i	−0.807529	+	1.01261i	0.191984	+	0.981398i	$0.438508\pi$
$101$	−819.672	+	1027.84i	−0.807529	+	1.01261i	−0.999513	+	0.0312111i	$0.990064\pi$
$102$	−332.185	+	689.789i	−0.322463	+	0.669600i
$103$	−252.290	−	201.194i	−0.241348	−	0.192469i	0.495344	−	0.868697i	$-0.335042\pi$
$103$	−252.290	−	201.194i	−0.241348	−	0.192469i	−0.736692	+	0.676228i	$0.763613\pi$
$104$	126.422			0.119199
$105$	−434.784	−	545.202i	−0.404100	−	0.506726i
$106$	822.268	−	655.737i	0.753450	−	0.600857i
$107$	−1144.70	+	1435.41i	−1.03423	+	1.29689i	−0.0803293	+	0.996768i	$0.525597\pi$
$107$	−1144.70	+	1435.41i	−1.03423	+	1.29689i	−0.953902	+	0.300117i	$0.902974\pi$
$108$	676.416	+	154.388i	0.602668	+	0.137555i
$109$	2.87545	−	3.60570i	0.00252677	−	0.00316847i	−0.780566	−	0.625073i	$-0.785069\pi$
$109$	2.87545	−	3.60570i	0.00252677	−	0.00316847i	0.783093	+	0.621904i	$0.213641\pi$
$110$		−	17.1588i		−	0.0148730i
$111$	72.2406	+	150.009i	0.0617727	+	0.128272i
$112$	−91.1185	−	114.259i	−0.0768740	−	0.0963970i
$113$		−	95.9501i		−	0.0798781i	−0.999202	−	0.0399391i	$-0.987284\pi$
$113$		−	95.9501i		−	0.0798781i	0.999202	−	0.0399391i	$-0.0127164\pi$
$114$	993.144			0.815934
$115$	160.050	+	36.5303i	0.129780	+	0.0296215i
$116$	−40.8965	−	51.2826i	−0.0327340	−	0.0410471i
$117$	−32.4454	−	67.3736i	−0.0256374	−	0.0532367i
$118$	127.078	+	263.879i	0.0991393	+	0.205865i
$119$	2746.10	+	2189.94i	2.11541	+	1.68699i
$120$			527.661i			0.401405i
$121$	−1197.15	+	576.517i	−0.899437	+	0.433146i
$122$	−606.088	−	1258.56i	−0.449776	−	0.933969i
$123$	−485.037	−	386.804i	−0.355564	−	0.283553i
$124$	339.611	−	270.830i	0.245951	−	0.196139i
$125$	−1285.67	+	293.447i	−0.919953	+	0.209973i
$126$	−330.591	+	686.480i	−0.233741	+	0.485369i
$127$	−198.387	−	95.5383i	−0.138614	−	0.0667532i	0.363291	−	0.931676i	$-0.381653\pi$
$127$	−198.387	−	95.5383i	−0.138614	−	0.0667532i	−0.501905	+	0.864923i	$0.667367\pi$
$128$		−	753.538i		−	0.520344i
$129$		−	2033.50i		−	1.38790i
$130$	48.7691	−	38.8921i	0.0329026	−	0.0262389i
$131$	−2144.57	+	489.483i	−1.43032	+	0.326461i	−0.866392	−	0.499365i	$-0.833567\pi$
$131$	−2144.57	+	489.483i	−1.43032	+	0.326461i	−0.563926	+	0.825826i	$0.690710\pi$
$132$	−23.1211	+	11.1345i	−0.0152457	+	0.00734194i
$133$	1013.86	−	4442.03i	0.661001	−	2.89604i
$134$	558.031	−	699.749i	0.359751	−	0.451113i
$135$	836.486	−	402.830i	0.533283	−	0.256816i
$136$	−591.404	−	2591.11i	−0.372886	−	1.63372i
$137$	−435.631	+	1908.62i	−0.271668	+	1.19025i	0.636376	+	0.771379i	$0.280433\pi$
$137$	−435.631	+	1908.62i	−0.271668	+	1.19025i	−0.908044	+	0.418875i	$0.862425\pi$
$138$	38.9030	+	170.445i	0.0239974	+	0.105139i
$139$	−549.477	−	1141.00i	−0.335295	−	0.696247i	0.663349	−	0.748310i	$-0.269135\pi$
$139$	−549.477	−	1141.00i	−0.335295	−	0.696247i	−0.998644	+	0.0520630i	$0.983420\pi$
$140$	870.210	+	198.620i	0.525330	+	0.119903i
$141$	−91.5939	−	190.197i	−0.0547064	−	0.113599i
$142$	3.06387	−	13.4237i	0.00181066	−	0.00793303i
$143$	7.41284	+	3.56984i	0.00433492	+	0.00208759i
$144$	58.9324	−	28.3804i	0.0341044	−	0.0164238i
$145$	−85.5729	−	19.5315i	−0.0490100	−	0.0111862i
$146$	−551.279	+	691.282i	−0.312494	+	0.391856i
$147$	−1684.71	−	1343.51i	−0.945257	−	0.753818i
$148$	−192.011	−	92.4675i	−0.106643	−	0.0513566i
$149$	−550.826	+	439.269i	−0.302855	+	0.241519i	−0.763111	−	0.646267i	$-0.776329\pi$
$149$	−550.826	+	439.269i	−0.302855	+	0.241519i	0.460256	+	0.887786i	$0.347758\pi$
$150$	−356.648	−	447.222i	−0.194134	−	0.243437i
$151$	−762.611	−	1583.58i	−0.410996	−	0.853443i	−0.999005	−	0.0445883i	$-0.985802\pi$
$151$	−762.611	−	1583.58i	−0.410996	−	0.853443i	0.588009	−	0.808854i	$-0.299912\pi$
$152$	−2695.46	+	2149.56i	−1.43836	+	1.14705i
$153$	−1229.09	+	980.164i	−0.649450	+	0.517919i
$154$	−18.6545	−	81.7308i	−0.00976119	−	0.0427666i
$155$	129.344	−	566.693i	0.0670268	−	0.293664i
$156$	−84.0529	−	40.4777i	−0.0431386	−	0.0207744i
$157$	312.786	+	1370.40i	0.159000	+	0.696625i	0.990084	+	0.140478i	$0.0448638\pi$
$157$	312.786	+	1370.40i	0.159000	+	0.696625i	−0.831084	+	0.556147i	$0.812279\pi$
$158$	−744.978	−	934.173i	−0.375109	−	0.470372i
$159$	−2052.07	+	468.371i	−1.02352	+	0.233611i
$160$	−686.941	−	861.397i	−0.339422	−	0.425621i
$161$	802.062			0.392617
$162$	246.529	+	196.601i	0.119563	+	0.0953482i
$163$	470.520	−	2061.48i	0.226098	−	0.990600i	−0.726690	−	0.686965i	$-0.758943\pi$
$163$	470.520	−	2061.48i	0.226098	−	0.990600i	0.952788	−	0.303635i	$-0.0982003\pi$
$164$	794.090			0.378097
$165$	−14.8998	+	30.9397i	−0.00702997	+	0.0145979i
$166$	−975.071	+	222.554i	−0.455905	+	0.104057i
$167$	676.218	−	1404.18i	0.313337	−	0.650652i	−0.683515	−	0.729937i	$-0.739549\pi$
$167$	676.218	−	1404.18i	0.313337	−	0.650652i	0.996852	+	0.0792851i	$0.0252638\pi$
$168$	573.656	+	2513.35i	0.263444	+	1.15422i
$169$	−482.223	−	2112.76i	−0.219492	−	0.961655i
$170$	−1025.26	−	817.618i	−0.462552	−	0.368873i
$171$	1837.32	+	884.808i	0.821659	+	0.395690i
$172$	1622.86	+	2035.00i	0.719428	+	0.902135i
$173$	2727.28	−	1313.39i	1.19856	−	0.577197i	0.275296	−	0.961359i	$-0.411224\pi$
$173$	2727.28	−	1313.39i	1.19856	−	0.577197i	0.923266	+	0.384162i	$0.125510\pi$
$174$	−20.8000	−	91.1309i	−0.00906234	−	0.0397047i
$175$	−2364.37	+	1138.62i	−1.02131	+	0.491839i
$176$	−3.12257	+	6.48409i	−0.00133735	+	0.00277703i
$177$		−	586.157i		−	0.248917i
$178$	−2918.96			−1.22913
$179$	−1397.52	−	318.976i	−0.583552	−	0.133192i	−0.0794543	−	0.996839i	$-0.525318\pi$
$179$	−1397.52	−	318.976i	−0.583552	−	0.133192i	−0.504098	+	0.863647i	$0.668175\pi$
$180$	−173.337	+	359.938i	−0.0717766	+	0.149046i
$181$	−1122.88	+	1408.04i	−0.461121	+	0.578227i	−0.956972	−	0.290180i	$-0.906285\pi$
$181$	−1122.88	+	1408.04i	−0.461121	+	0.578227i	0.495851	+	0.868408i	$0.334856\pi$
$182$	190.015	−	238.271i	0.0773891	−	0.0970428i
$183$			2795.64i			1.12929i
$184$	−474.496	−	378.398i	−0.190110	−	0.151608i
$185$	−278.032	+	63.4591i	−0.110494	+	0.0252195i
$186$	603.500	−	137.745i	0.237907	−	0.0543008i
$187$	38.4889	−	168.631i	0.0150513	−	0.0659439i
$188$	243.450	+	117.240i	0.0944439	+	0.0454818i
$189$	3546.40	−	2828.16i	1.36488	−	1.08846i
$190$	−378.528	+	1658.44i	−0.144533	+	0.633241i
$191$	2436.40			0.922995			0.461497	−	0.887142i	$-0.347312\pi$
$191$	2436.40			0.922995			0.461497	+	0.887142i	$0.347312\pi$
$192$	569.706	−	1183.01i	0.214140	−	0.444667i
$193$	749.780	−	361.075i	0.279639	−	0.134667i	−0.288808	−	0.957387i	$-0.593259\pi$
$193$	749.780	−	361.075i	0.279639	−	0.134667i	0.568447	+	0.822720i	$0.307545\pi$
$194$	−163.645	−	37.3508i	−0.0605618	−	0.0138228i
$195$	−121.709	+	27.7793i	−0.0446962	+	0.0102016i
$196$	2758.17			1.00516
$197$	285.292	+	2750.27i	0.103179	+	0.994663i
$197$	285.292	+	2750.27i	0.103179	+	0.994663i
$198$	37.5215			0.0134674
$199$	−3897.88	+	889.665i	−1.38851	+	0.316918i	−0.850480	−	0.526008i	$-0.823688\pi$
$199$	−3897.88	+	889.665i	−1.38851	+	0.316918i	−0.538029	+	0.842926i	$0.680831\pi$
$200$	1935.93	+	441.864i	0.684455	+	0.156222i
$201$	−1613.83	+	777.179i	−0.566322	+	0.272726i
$202$	1040.47	−	2160.55i	0.362411	−	0.752554i
$203$	−428.835			−0.148267
$204$	−436.419	+	1912.07i	−0.149781	+	0.656235i
$205$	830.787	−	662.531i	0.283047	−	0.225723i
$206$	530.323	+	255.390i	0.179366	+	0.0863781i
$207$	−79.8815	+	349.984i	−0.0268220	+	0.117515i
$208$	−25.5068	+	5.82176i	−0.00850278	+	0.00194070i
$209$	−218.748	+	49.9277i	−0.0723975	+	0.0165243i
$210$	994.492	+	793.081i	0.326793	+	0.260608i
$211$			1189.73i			0.388172i	0.980985	+	0.194086i	$0.0621740\pi$
$211$			1189.73i			0.388172i	−0.980985	+	0.194086i	$0.937826\pi$
$212$	1679.79	−	2106.39i	0.544192	−	0.682395i
$213$	−17.1809	+	21.5442i	−0.00552685	+	0.00693045i
$214$	1453.05	−	3017.30i	0.464153	−	0.963823i
$215$	3395.71	+	775.049i	1.07714	+	0.245851i
$216$	−3432.30			−1.08120
$217$		−	2839.89i		−	0.888406i
$218$	−3.65001	+	7.57932i	−0.00113399	+	0.00235475i
$219$	1594.30	−	767.775i	0.491931	−	0.236902i
$220$	−9.78102	−	42.8535i	−0.00299744	−	0.0131326i
$221$	566.524	−	272.824i	0.172437	−	0.0830412i
$222$	−189.357	−	237.446i	−0.0572469	−	0.0717854i
$223$	−21.0561	−	10.1401i	−0.00632296	−	0.00304498i	0.430720	−	0.902486i	$-0.358260\pi$
$223$	−21.0561	−	10.1401i	−0.00632296	−	0.00304498i	−0.437043	+	0.899441i	$0.643974\pi$
$224$	−4208.52	−	3356.18i	−1.25533	−	1.00109i
$225$	−261.363	−	1145.11i	−0.0774409	−	0.339291i
$226$	38.9458	+	170.633i	0.0114630	+	0.0502226i
$227$	1358.46	−	2820.87i	0.397199	−	0.824791i	−0.602447	−	0.798159i	$-0.705807\pi$
$227$	1358.46	−	2820.87i	0.397199	−	0.824791i	0.999645	−	0.0266323i	$-0.00847832\pi$
$228$	2480.34	−	566.121i	0.720458	−	0.164440i
$229$	−2764.04	+	5739.58i	−0.797610	+	1.65625i	−0.0439097	+	0.999036i	$0.513981\pi$
$229$	−2764.04	+	5739.58i	−0.797610	+	1.65625i	−0.753700	+	0.657218i	$0.771733\pi$
$230$	−299.452			−0.0858489
$231$	−37.3338	+	163.570i	−0.0106337	+	0.0465893i
$232$	253.696	+	202.316i	0.0717930	+	0.0572530i
$233$	−4696.79			−1.32059			−0.660293	−	0.751008i	$-0.729568\pi$
$233$	−4696.79			−1.32059			−0.660293	+	0.751008i	$0.729568\pi$
$234$	85.0460	+	106.644i	0.0237591	+	0.0297930i
$235$	352.517	−	80.4598i	0.0978540	−	0.0223345i
$236$	467.790	+	586.590i	0.129028	+	0.161796i
$237$	532.113	+	2331.34i	0.145841	+	0.638973i
$238$	−5772.40	−	2779.84i	−1.57214	−	0.757103i
$239$	−1063.42	+	4659.13i	−0.287810	+	1.26098i	0.599713	+	0.800215i	$0.295282\pi$
$239$	−1063.42	+	4659.13i	−0.287810	+	1.26098i	−0.887523	+	0.460764i	$0.847576\pi$
$240$	−24.2988	−	106.460i	−0.00653534	−	0.0286332i
$241$	−3220.91	+	2568.59i	−0.860902	+	0.686546i	−0.950934	−	0.309393i	$-0.899874\pi$
$241$	−3220.91	+	2568.59i	−0.860902	+	0.686546i	0.0900328	+	0.995939i	$0.471303\pi$
$242$	1894.94	−	1511.17i	0.503354	−	0.401411i
$243$	1465.63	+	3043.41i	0.386914	+	0.803434i
$244$	−2231.09	−	2797.70i	−0.585374	−	0.734035i
$245$	2885.63	−	2301.21i	0.752475	−	0.600078i
$246$	1019.57	+	490.998i	0.264249	+	0.127256i
$247$	−637.717	−	508.563i	−0.164279	−	0.131008i
$248$	−1339.80	+	1680.06i	−0.343055	+	0.430177i
$249$	1951.44	+	445.403i	0.496656	+	0.113359i
$250$	2167.27	−	1043.70i	0.548280	−	0.264038i
$251$	−403.007	−	194.078i	−0.101345	−	0.0488052i	0.382524	−	0.923945i	$-0.375055\pi$
$251$	−403.007	−	194.078i	−0.101345	−	0.0488052i	−0.483869	+	0.875140i	$0.660769\pi$
$252$	−434.325	+	1902.90i	−0.108571	+	0.475681i
$253$	−17.1373	−	35.5861i	−0.00425856	−	0.00884299i
$254$	391.580	+	89.3757i	0.0967320	+	0.0220785i
$255$	1138.71	+	2364.55i	0.279642	+	0.580683i
$256$	946.146	+	4145.34i	0.230993	+	1.01205i
$257$	−505.071	+	2212.86i	−0.122589	+	0.537099i	0.875917	+	0.482462i	$0.160257\pi$
$257$	−505.071	+	2212.86i	−0.122589	+	0.537099i	−0.998506	+	0.0546373i	$0.982600\pi$
$258$	825.389	+	3616.26i	0.199172	+	0.872631i
$259$	−1255.33	+	604.536i	−0.301168	+	0.145035i
$260$	99.6293	−	124.931i	0.0237644	−	0.0297996i
$261$	42.7098	−	187.124i	0.0101290	−	0.0443781i
$262$	3615.10	−	1740.94i	0.852450	−	0.410518i
$263$	−3066.47	+	699.902i	−0.718960	+	0.164098i	−0.566322	−	0.824184i	$-0.691634\pi$
$263$	−3066.47	+	699.902i	−0.718960	+	0.164098i	−0.152638	+	0.988282i	$0.548777\pi$
$264$	99.2557	−	79.1538i	0.0231393	−	0.0184530i
$265$		−	3605.24i		−	0.835728i
$266$			8311.00i			1.91571i
$267$	5263.27	+	2534.66i	1.20639	+	0.580969i
$268$	994.784	−	2065.69i	0.226739	−	0.470829i
$269$	5467.12	−	1247.83i	1.23917	−	0.282832i	0.447778	−	0.894145i	$-0.352215\pi$
$269$	5467.12	−	1247.83i	1.23917	−	0.282832i	0.791389	+	0.611313i	$0.209358\pi$
$270$	−1324.06	+	1055.90i	−0.298442	+	0.238000i
$271$	−3032.81	−	2418.59i	−0.679817	−	0.542136i	0.221573	−	0.975144i	$-0.428881\pi$
$271$	−3032.81	−	2418.59i	−0.679817	−	0.542136i	−0.901390	+	0.433008i	$0.857452\pi$
$272$	238.642	+	495.545i	0.0531977	+	0.110466i
$273$	−549.523	+	264.636i	−0.121827	+	0.0586686i
$274$		−	3571.02i		−	0.787347i
$275$	101.037	+	80.5745i	0.0221555	+	0.0176685i
$276$	194.317	+	403.504i	0.0423787	+	0.0880003i
$277$	−967.872	−	2009.81i	−0.209941	−	0.435948i	0.769233	−	0.638968i	$-0.220638\pi$
$277$	−967.872	−	2009.81i	−0.209941	−	0.435948i	−0.979174	+	0.203020i	$0.934924\pi$
$278$	1440.29	+	1806.07i	0.310729	+	0.389642i
$279$	1239.20	+	282.839i	0.265910	+	0.0606922i
$280$	−4415.66			−0.942450
$281$			855.546i			0.181628i	0.995868	+	0.0908142i	$0.0289470\pi$
$281$			855.546i			0.181628i	−0.995868	+	0.0908142i	$0.971053\pi$
$282$	240.086	+	301.058i	0.0506983	+	0.0635736i
$283$	−4023.17	−	8354.19i	−0.845062	−	1.75479i	−0.627284	−	0.778791i	$-0.715833\pi$
$283$	−4023.17	−	8354.19i	−0.845062	−	1.75479i	−0.217778	−	0.975998i	$-0.569881\pi$
$284$		−	35.2716i		−	0.00736966i
$285$	2122.63	−	2661.70i	0.441172	−	0.553212i
$286$	−14.6316	−	3.33957i	−0.00302512	−	0.000690464i
$287$	3236.92	−	4058.97i	0.665747	−	0.834820i
$288$	1883.63	−	1502.15i	0.385396	−	0.307343i
$289$	−5178.70	−	6493.88i	−1.05408	−	1.32178i
$290$	160.106			0.0324199
$291$	262.640	+	209.448i	0.0529080	+	0.0421927i
$292$	−982.747	+	2040.70i	−0.196955	+	0.408982i
$293$	3318.57	−	4161.35i	0.661682	−	0.829722i	−0.331844	−	0.943334i	$-0.607671\pi$
$293$	3318.57	−	4161.35i	0.661682	−	0.829722i	0.993525	+	0.113612i	$0.0362421\pi$
$294$	3541.33	+	1705.42i	0.702499	+	0.338306i
$295$	978.816	+	223.408i	0.193183	+	0.0440927i
$296$	1027.86	+	234.601i	0.201834	+	0.0460673i
$297$	−201.255	−	96.9192i	−0.0393198	−	0.0189354i
$298$	801.262	−	1004.75i	0.155758	−	0.195314i
$299$	62.3000	−	129.367i	0.0120498	−	0.0250217i
$300$	−1145.64	−	913.620i	−0.220479	−	0.175826i
$301$	17017.0			3.25862
$302$	1998.96	+	2506.61i	0.380884	+	0.477614i
$303$	−3752.21	+	2992.28i	−0.711415	+	0.567334i
$304$	444.845	−	557.818i	0.0839263	−	0.105240i
$305$	−4668.40	−	1065.53i	−0.876433	−	0.200040i
$306$	1787.90	−	2241.96i	0.334011	−	0.418837i
$307$			6373.49i			1.18487i	0.805619	+	0.592433i	$0.201833\pi$
$307$			6373.49i			1.18487i	−0.805619	+	0.592433i	$0.798167\pi$
$308$	−93.1778	−	193.486i	−0.0172380	−	0.0357950i
$309$	−734.478	−	921.006i	−0.135220	−	0.169561i
$310$			1060.28i			0.194257i
$311$	457.326			0.0833844			0.0416922	−	0.999131i	$-0.486725\pi$
$311$	457.326			0.0833844			0.0416922	+	0.999131i	$0.486725\pi$
$312$	449.945	+	102.697i	0.0816446	+	0.0186348i
$313$	4027.94	+	5050.88i	0.727388	+	0.912116i	0.998731	−	0.0503667i	$-0.0160390\pi$
$313$	4027.94	+	5050.88i	0.727388	+	0.912116i	−0.271342	+	0.962483i	$0.587468\pi$
$314$	−1112.48	−	2310.10i	−0.199940	−	0.415179i
$315$	1133.25	+	2353.21i	0.202702	+	0.420916i
$316$	−2393.06	−	1908.40i	−0.426013	−	0.339734i
$317$			4778.63i			0.846670i	0.905973	+	0.423335i	$0.139141\pi$
$317$			4778.63i			0.846670i	−0.905973	+	0.423335i	$0.860859\pi$
$318$	3459.18	−	1665.85i	0.610003	−	0.293762i
$319$	9.16273	+	19.0266i	0.00160820	+	0.00333945i
$320$	1758.35	+	1402.24i	0.307171	+	0.244961i
$321$	−5240.11	+	4178.85i	−0.911135	+	0.726606i
$322$	−1426.35	+	325.554i	−0.246855	+	0.0563429i
$323$	−7440.08	+	15449.5i	−1.28166	+	2.66140i
$324$	727.766	+	350.473i	0.124788	+	0.0600949i
$325$			469.800i			0.0801840i
$326$			3857.02i			0.655277i
$327$	13.1629	−	10.4971i	0.00222603	−	0.00177520i
$328$	−3829.89	+	874.147i	−0.644726	+	0.147154i
$329$	1591.64	−	766.491i	0.266716	−	0.128444i
$330$	13.9387	−	61.0692i	0.00232514	−	0.0101871i
$331$	5443.98	−	6826.53i	0.904012	−	1.13360i	−0.0865110	−	0.996251i	$-0.527572\pi$
$331$	5443.98	−	6826.53i	0.904012	−	1.13360i	0.990523	−	0.137345i	$-0.0438568\pi$
$332$	−2308.34	+	1111.64i	−0.381586	+	0.183762i
$333$	−138.767	−	607.978i	−0.0228360	−	0.100051i
$334$	−632.599	+	2771.60i	−0.103636	+	0.454057i
$335$	−682.706	−	2991.13i	−0.111344	−	0.487829i
$336$	−231.480	−	480.673i	−0.0375841	−	0.0780443i
$337$	6381.70	+	1456.58i	1.03155	+	0.235445i	0.704607	−	0.709598i	$-0.251123\pi$
$337$	6381.70	+	1456.58i	1.03155	+	0.235445i	0.326946	+	0.945043i	$0.393981\pi$
$338$	1715.12	+	3561.48i	0.276007	+	0.573134i
$339$	77.9434	−	341.492i	0.0124876	−	0.0547118i
$340$	−3026.61	−	1457.54i	−0.482768	−	0.232489i
$341$	−126.001	+	60.6787i	−0.0200097	+	0.00963618i
$342$	−3626.54	−	827.734i	−0.573394	−	0.130874i
$343$	4709.81	−	5905.91i	0.741416	−	0.929706i
$344$	−10067.2	−	8028.31i	−1.57787	−	1.25831i
$345$	539.952	+	260.027i	0.0842609	+	0.0405779i
$346$	−4316.95	+	3442.65i	−0.670754	+	0.534908i
$347$	4233.98	+	5309.24i	0.655020	+	0.821369i	0.992791	−	0.119860i	$-0.0382445\pi$
$347$	4233.98	+	5309.24i	0.655020	+	0.821369i	−0.337771	+	0.941228i	$0.609673\pi$
$348$	−103.895	−	215.739i	−0.0160038	−	0.0332323i
$349$	−1541.65	+	1229.43i	−0.236455	+	0.188567i	−0.734547	−	0.678557i	$-0.762606\pi$
$349$	−1541.65	+	1229.43i	−0.236455	+	0.188567i	0.498092	+	0.867124i	$0.334034\pi$
$350$	3742.52	−	2984.56i	0.571560	−	0.455804i
$351$	−180.697	−	791.687i	−0.0274784	−	0.120391i
$352$	−58.9859	+	258.434i	−0.00893171	+	0.0391324i
$353$	1833.30	+	882.872i	0.276422	+	0.133118i	0.566959	−	0.823746i	$-0.308120\pi$
$353$	1833.30	+	882.872i	0.276422	+	0.133118i	−0.290537	+	0.956864i	$0.593834\pi$
$354$	237.919	+	1042.39i	0.0357210	+	0.156504i
$355$	−29.4281	−	36.9016i	−0.00439966	−	0.00551700i
$356$	−7289.98	+	1663.89i	−1.08530	+	0.247713i
$357$	7994.56	+	10024.9i	1.18520	+	1.48620i
$358$	2614.76			0.386017
$359$	−3722.25	−	2968.39i	−0.547222	−	0.436395i	0.310452	−	0.950589i	$-0.399520\pi$
$359$	−3722.25	−	2968.39i	−0.547222	−	0.436395i	−0.857674	+	0.514194i	$0.828091\pi$
$360$	439.778	−	1926.79i	0.0643842	−	0.282086i
$361$	15384.9			2.24302
$362$	1425.35	−	2959.77i	0.206947	−	0.429729i
$363$	−4729.05	+	1079.38i	−0.683777	+	0.156068i
$364$	338.733	−	703.385i	0.0487759	−	0.101284i
$365$	674.445	+	2954.94i	0.0967180	+	0.423749i
$366$	−1134.74	−	4971.62i	−0.162060	−	0.710029i
$367$	−6430.74	−	5128.34i	−0.914664	−	0.729421i	0.0483613	−	0.998830i	$-0.484600\pi$
$367$	−6430.74	−	5128.34i	−0.914664	−	0.729421i	−0.963026	+	0.269409i	$0.913172\pi$
$368$	113.159	+	54.4944i	0.0160294	+	0.00771934i
$369$	1448.77	+	1816.70i	0.204390	+	0.256297i
$370$	468.680	−	225.705i	0.0658528	−	0.0317130i
$371$	−3919.50	−	17172.4i	−0.548491	−	2.40310i
$372$	1428.70	−	688.025i	0.199125	−	0.0958937i
$373$	−2835.66	+	5888.31i	−0.393633	+	0.817387i	0.606125	+	0.795369i	$0.292723\pi$
$373$	−2835.66	+	5888.31i	−0.393633	+	0.817387i	−0.999758	+	0.0220172i	$0.992991\pi$
$374$			315.507i			0.0436216i
$375$	−4814.17			−0.662940
$376$	−1303.22	−	297.451i	−0.178746	−	0.0407975i
$377$	−33.3096	+	69.1681i	−0.00455048	+	0.00944917i
$378$	−5158.80	+	6468.92i	−0.701957	+	0.880226i
$379$	7480.86	−	9380.70i	1.01389	−	1.27138i	0.0518028	−	0.998657i	$-0.483503\pi$
$379$	7480.86	−	9380.70i	1.01389	−	1.27138i	0.962092	−	0.272726i	$-0.0879253\pi$
$380$			4357.66i			0.588272i
$381$	−628.464	−	501.183i	−0.0845070	−	0.0673921i
$382$	−4332.77	+	988.927i	−0.580325	+	0.132455i
$383$	−10505.2	+	2397.74i	−1.40154	+	0.319893i	−0.855473	−	0.517847i	$-0.826733\pi$
$383$	−10505.2	+	2397.74i	−1.40154	+	0.319893i	−0.546069	+	0.837740i	$0.683876\pi$
$384$	612.123	−	2681.89i	0.0813471	−	0.356405i
$385$	−258.914	−	124.687i	−0.0342740	−	0.0165055i
$386$	−1186.81	+	946.450i	−0.156495	+	0.124801i
$387$	−1694.81	+	7425.46i	−0.222616	+	0.975342i
$388$	−429.987			−0.0562610
$389$	4813.24	−	9994.79i	0.627354	−	1.30271i	−0.308801	−	0.951127i	$-0.599928\pi$
$389$	4813.24	−	9994.79i	0.627354	−	1.30271i	0.936155	−	0.351588i	$-0.114358\pi$
$390$	205.165	−	98.8024i	0.0266383	−	0.0128283i
$391$	−2942.91	−	671.699i	−0.380637	−	0.0868780i
$392$	−13302.6	+	3036.23i	−1.71399	+	0.391207i
$393$	−8030.26			−1.03072
$394$	−1623.67	−	4775.14i	−0.207613	−	0.610578i
$395$	−4095.88			−0.521737
$396$	93.7084	−	21.3883i	0.0118915	−	0.00271415i
$397$	8275.27	+	1888.78i	1.04616	+	0.238778i	0.710859	−	0.703334i	$-0.248306\pi$
$397$	8275.27	+	1888.78i	1.04616	+	0.238778i	0.335297	+	0.942113i	$0.391163\pi$
$398$	6570.67	−	3164.27i	0.827533	−	0.398519i
$399$	7216.81	−	14985.9i	0.905494	−	1.88028i
$400$	−410.939			−0.0513673
$401$	−626.310	+	2744.05i	−0.0779961	+	0.341723i	−0.998837	−	0.0482153i	$-0.984647\pi$
$401$	−626.310	+	2744.05i	−0.0779961	+	0.341723i	0.920841	+	0.389939i	$0.127504\pi$
$402$	2554.50	−	2037.14i	0.316932	−	0.252745i
$403$	−458.055	−	220.587i	−0.0566187	−	0.0272661i
$404$	1366.95	−	5988.99i	0.168337	−	0.737533i
$405$	1053.81	−	240.525i	0.129294	−	0.0295106i
$406$	762.617	−	174.062i	0.0932218	−	0.0212773i
$407$	53.6443	+	42.7799i	0.00653329	+	0.00521013i
$408$		−	9702.33i		−	1.17730i
$409$	6862.61	−	8605.44i	0.829668	−	1.04037i	−0.168834	−	0.985645i	$-0.554000\pi$
$409$	6862.61	−	8605.44i	0.829668	−	1.04037i	0.998501	−	0.0547257i	$-0.0174284\pi$
$410$	−1208.51	+	1515.42i	−0.145571	+	0.182540i
$411$	−3100.87	+	6439.03i	−0.372153	+	0.772783i
$412$	1470.04	+	335.527i	0.175786	+	0.0401220i
$413$	4905.18			0.584426
$414$		−	654.816i		−	0.0777354i
$415$	−1487.55	+	3088.92i	−0.175954	+	0.365372i
$416$	−868.224	+	418.115i	−0.102327	+	0.0492783i
$417$	−1028.75	−	4507.25i	−0.120811	−	0.529307i
$418$	368.744	−	177.578i	0.0431480	−	0.0207790i
$419$	−2024.65	−	2538.83i	−0.236063	−	0.296014i	0.649663	−	0.760223i	$-0.274910\pi$
$419$	−2024.65	−	2538.83i	−0.236063	−	0.296014i	−0.885726	+	0.464209i	$0.846339\pi$
$420$	2935.78	+	1413.80i	0.341075	+	0.164253i
$421$	−5532.41	−	4411.95i	−0.640459	−	0.510749i	0.248562	−	0.968616i	$-0.420042\pi$
$421$	−5532.41	−	4411.95i	−0.640459	−	0.510749i	−0.889021	+	0.457867i	$0.848613\pi$
$422$	−482.906	−	2115.75i	−0.0557050	−	0.244059i
$423$	175.943	+	770.856i	0.0202237	+	0.0886059i
$424$	−5782.87	+	12008.3i	−0.662361	+	1.37541i
$425$	9628.85	−	2197.72i	1.09898	−	0.250836i
$426$	21.8090	−	45.2868i	0.00248039	−	0.00515059i
$427$	−23394.9			−2.65143
$428$	1909.00	−	8363.87i	0.215596	−	0.944586i
$429$	23.4829	+	18.7270i	0.00264280	+	0.00210757i
$430$	−6353.34			−0.712524
$431$	3202.44	+	4015.73i	0.357903	+	0.448796i	0.927888	−	0.372859i	$-0.121622\pi$
$431$	3202.44	+	4015.73i	0.357903	+	0.448796i	−0.569985	+	0.821655i	$0.693051\pi$
$432$	692.497	−	158.058i	0.0771244	−	0.0176032i
$433$	6457.56	+	8097.52i	0.716698	+	0.898711i	0.998146	−	0.0608654i	$-0.0193861\pi$
$433$	6457.56	+	8097.52i	0.716698	+	0.898711i	−0.281448	+	0.959577i	$0.590815\pi$
$434$	1152.70	+	5050.31i	0.127492	+	0.558577i
$435$	−288.693	−	139.027i	−0.0318202	−	0.0153238i
$436$	−4.79532	+	21.0097i	−0.000526729	+	0.00230775i
$437$	871.327	+	3817.53i	0.0953803	+	0.417889i
$438$	−2523.59	+	2012.49i	−0.275300	+	0.219545i
$439$	−6211.44	+	4953.46i	−0.675298	+	0.538532i	−0.899997	−	0.435896i	$-0.856432\pi$
$439$	−6211.44	+	4953.46i	−0.675298	+	0.538532i	0.224699	+	0.974428i	$0.427860\pi$
$440$	94.3475	+	195.915i	0.0102224	+	0.0212270i
$441$	5032.11	+	6310.06i	0.543366	+	0.681359i
$442$	−896.739	+	715.126i	−0.0965012	+	0.0769572i
$443$	942.268	+	453.773i	0.101058	+	0.0486668i	0.483730	−	0.875217i	$-0.339282\pi$
$443$	942.268	+	453.773i	0.101058	+	0.0486668i	−0.382672	+	0.923884i	$0.624996\pi$
$444$	−608.263	−	485.074i	−0.0650155	−	0.0518482i
$445$	−6238.65	+	7823.01i	−0.664585	+	0.833363i
$446$	41.5609	+	9.48600i	0.00441248	+	0.00100712i
$447$	−2317.25	+	1115.93i	−0.245196	+	0.118080i
$448$	9899.83	+	4767.51i	1.04402	+	0.502776i
$449$	−93.4208	+	409.303i	−0.00981915	+	0.0430205i	−0.979600	−	0.200957i	$-0.935595\pi$
$449$	−93.4208	+	409.303i	−0.00981915	+	0.0430205i	0.969781	+	0.243977i	$0.0784521\pi$
$450$	929.589	+	1930.31i	0.0973806	+	0.202213i
$451$	−249.251	−	56.8899i	−0.0260239	−	0.00593978i
$452$	194.531	+	403.948i	0.0202433	+	0.0420357i
$453$	−1427.79	−	6255.55i	−0.148087	−	0.648811i
$454$	−1270.83	+	5567.88i	−0.131372	+	0.575581i
$455$	−232.467	−	1018.51i	−0.0239522	−	0.104941i
$456$	−11339.5	+	5460.79i	−1.16451	+	0.560801i
$457$	−9884.62	+	12394.9i	−1.01178	+	1.26873i	−0.0488981	+	0.998804i	$0.515571\pi$
$457$	−9884.62	+	12394.9i	−1.01178	+	1.26873i	−0.962881	+	0.269927i	$0.913000\pi$
$458$	2585.74	−	11328.9i	0.263808	−	1.15582i
$459$	−15380.8	+	7407.02i	−1.56409	+	0.753225i
$460$	−747.868	+	170.696i	−0.0758034	+	0.0173016i
$461$	14274.5	−	11383.6i	1.44215	−	1.15008i	0.480097	−	0.877215i	$-0.340601\pi$
$461$	14274.5	−	11383.6i	1.44215	−	1.15008i	0.962053	−	0.272861i	$-0.0879700\pi$
$462$		−	306.038i		−	0.0308186i
$463$		−	756.377i		−	0.0759219i	−0.999279	−	0.0379609i	$-0.987914\pi$
$463$		−	756.377i		−	0.0759219i	0.999279	−	0.0379609i	$-0.0120862\pi$
$464$	−60.5020	−	29.1362i	−0.00605331	−	0.00291512i
$465$	920.686	−	1911.82i	0.0918189	−	0.190664i
$466$	8352.52	−	1906.41i	0.830307	−	0.189512i
$467$	−988.228	+	788.085i	−0.0979223	+	0.0780904i	−0.671227	−	0.741252i	$-0.734232\pi$
$467$	−988.228	+	788.085i	−0.0979223	+	0.0780904i	0.573305	+	0.819342i	$0.305661\pi$
$468$	273.189	+	217.861i	0.0269833	+	0.0215185i
$469$	−6503.72	−	13505.1i	−0.640328	−	1.32966i
$470$	−594.240	+	286.171i	−0.0583197	+	0.0280853i
$471$			5131.44i			0.502004i
$472$	−2901.87	−	2314.17i	−0.282986	−	0.225674i
$473$	−363.596	−	755.015i	−0.0353450	−	0.0733946i
$474$	−1892.56	−	3929.95i	−0.183393	−	0.380820i
$475$	−7987.99	−	10016.6i	−0.771609	−	0.967567i
$476$	−16000.9	−	3652.11i	−1.54076	−	0.351668i
$477$	7883.64			0.756744
$478$		−	8717.19i		−	0.834132i
$479$	4159.45	+	5215.78i	0.396764	+	0.497526i	0.939582	−	0.342324i	$-0.111214\pi$
$479$	4159.45	+	5215.78i	0.396764	+	0.497526i	−0.542818	+	0.839850i	$0.682643\pi$
$480$	−1745.12	−	3623.79i	−0.165945	−	0.344588i
$481$			249.434i			0.0236449i
$482$	4685.32	−	5875.21i	0.442761	−	0.555204i
$483$	2854.59	+	651.541i	0.268920	+	0.0613792i
$484$	3871.14	−	4854.25i	0.363555	−	0.455884i
$485$	−449.858	+	358.750i	−0.0421175	+	0.0335876i
$486$	−3841.70	−	4817.34i	−0.358566	−	0.449628i
$487$	13899.8			1.29335			0.646674	−	0.762767i	$-0.276160\pi$
$487$	13899.8			1.29335			0.646674	+	0.762767i	$0.276160\pi$
$488$	13840.3	+	11037.3i	1.28385	+	1.02384i
$489$	3349.22	−	6954.72i	0.309728	−	0.643156i
$490$	−4197.60	+	5263.63i	−0.386997	+	0.485278i
$491$	132.858	+	63.9812i	0.0122114	+	0.00588072i	0.439979	−	0.898008i	$-0.354986\pi$
$491$	132.858	+	63.9812i	0.0122114	+	0.00588072i	−0.427768	+	0.903889i	$0.640700\pi$
$492$	2826.21	+	645.064i	0.258975	+	0.0591093i
$493$	1573.47	+	359.134i	0.143743	+	0.0328085i
$494$	1340.51	+	645.554i	0.122090	+	0.0587953i
$495$	80.1942	−	100.560i	0.00728174	−	0.00913101i
$496$	192.950	−	400.665i	0.0174672	−	0.0362709i
$497$	−180.290	−	143.776i	−0.0162718	−	0.0129764i
$498$	−3651.12			−0.328536
$499$	1368.84	+	1716.47i	0.122801	+	0.153987i	0.839432	−	0.543465i	$-0.182888\pi$
$499$	1368.84	+	1716.47i	0.122801	+	0.153987i	−0.716631	+	0.697453i	$0.754317\pi$
$500$	4817.72	−	3842.01i	0.430910	−	0.343639i
$501$	3547.36	−	4448.25i	0.316336	−	0.396673i
$502$	795.463	+	181.559i	0.0707236	+	0.0161422i
$503$	4857.50	−	6091.11i	0.430587	−	0.539939i	−0.518448	−	0.855109i	$-0.673490\pi$
$503$	4857.50	−	6091.11i	0.430587	−	0.539939i	0.949035	+	0.315170i	$0.102062\pi$
$504$		−	9655.80i		−	0.853380i
$505$	−3566.66	−	7406.25i	−0.314286	−	0.652621i
$506$	44.9204	+	56.3284i	0.00394655	+	0.00494882i
$507$		−	7911.15i		−	0.692991i
$508$	1028.90			0.0898626
$509$	−12163.6	−	2776.27i	−1.05922	−	0.241760i	−0.342786	−	0.939414i	$-0.611370\pi$
$509$	−12163.6	−	2776.27i	−1.05922	−	0.241760i	−0.716435	+	0.697653i	$0.754228\pi$
$510$	−2984.79	−	3742.80i	−0.259154	−	0.324969i
$511$	6425.02	+	13341.7i	0.556216	+	1.15499i
$512$	−749.570	−	1556.50i	−0.0647005	−	0.134352i
$513$	17313.7	+	13807.2i	1.49009	+	1.18831i
$514$		−	4140.25i		−	0.355289i
$515$	1817.92	−	875.463i	0.155548	−	0.0749078i
$516$	4122.75	+	8560.98i	0.351733	+	0.730380i
$517$	−68.0157	−	54.2407i	−0.00578593	−	0.00461412i
$518$	1987.04	−	1584.61i	0.168543	−	0.134409i
$519$	10773.5	−	2458.97i	0.911180	−	0.207971i
$520$	−342.985	+	712.215i	−0.0289248	+	0.0600629i
$521$	−19005.2	−	9152.41i	−1.59814	−	0.769625i	−0.598635	−	0.801022i	$-0.704290\pi$
$521$	−19005.2	−	9152.41i	−1.59814	−	0.769625i	−0.999507	+	0.0313973i	$0.990004\pi$
$522$			350.107i			0.0293559i
$523$			12159.4i			1.01662i	0.861175	+	0.508309i	$0.169729\pi$
$523$			12159.4i			1.01662i	−0.861175	+	0.508309i	$0.830271\pi$
$524$	8036.19	−	6408.65i	0.669967	−	0.534281i
$525$	−9339.89	+	2131.77i	−0.776431	+	0.177215i
$526$	5169.16	−	2489.34i	0.428491	−	0.206350i
$527$	−2378.31	+	10420.0i	−0.196586	+	0.861298i
$528$	−16.3807	+	20.5407i	−0.00135015	+	0.00169303i
$529$	10341.0	−	4979.99i	0.849926	−	0.409303i
$530$	1463.35	+	6411.36i	0.119932	+	0.525456i
$531$	−488.531	+	2140.40i	−0.0399255	+	0.174925i
$532$	4737.51	+	20756.4i	0.386085	+	1.69155i
$533$	−403.257	−	837.372i	−0.0327711	−	0.0680499i
$534$	−10388.7	−	2371.16i	−0.841882	−	0.192154i
$535$	−4980.98	−	10343.1i	−0.402517	−	0.835836i
$536$	−2523.89	+	11057.9i	−0.203387	+	0.891096i
$537$	−4714.76	−	2270.51i	−0.378877	−	0.182457i
$538$	−9215.95	+	4438.17i	−0.738527	+	0.355656i
$539$	−865.741	−	197.600i	−0.0691839	−	0.0157908i
$540$	−2704.88	+	3391.82i	−0.215555	+	0.270297i
$541$	13524.1	+	10785.1i	1.07477	+	0.857097i	0.990247	−	0.139325i	$-0.0444934\pi$
$541$	13524.1	+	10785.1i	1.07477	+	0.857097i	0.0845184	+	0.996422i	$0.473065\pi$
$542$	6375.09	+	3070.08i	0.505228	+	0.243305i
$543$	−5140.19	+	4099.17i	−0.406237	+	0.323963i
$544$	12631.1	+	15838.9i	0.995503	+	1.24832i
$545$	12.5120	+	25.9814i	0.000983404	+	0.00204206i
$546$	869.828	−	693.665i	0.0681780	−	0.0543702i
$547$	−7202.12	+	5743.50i	−0.562963	+	0.448948i	−0.863161	−	0.504929i	$-0.831519\pi$
$547$	−7202.12	+	5743.50i	−0.562963	+	0.448948i	0.300198	+	0.953877i	$0.402947\pi$
$548$	−2035.58	−	8918.48i	−0.158679	−	0.695216i
$549$	2330.02	−	10208.5i	0.181134	−	0.793602i
$550$	−212.384	−	102.279i	−0.0164656	−	0.00792943i
$551$	−465.868	−	2041.10i	−0.0360193	−	0.157811i
$552$	−1381.37	−	1732.19i	−0.106513	−	0.133563i
$553$	−19509.5	+	4452.91i	−1.50023	+	0.342418i
$554$	2536.99	+	3181.28i	0.194560	+	0.243970i
$555$	−1041.08			−0.0796244
$556$	4626.57	+	3689.57i	0.352897	+	0.281426i
$557$	4843.51	−	21220.8i	0.368449	−	1.61428i	−0.362592	−	0.931948i	$-0.618108\pi$
$557$	4843.51	−	21220.8i	0.368449	−	1.61428i	0.731041	−	0.682334i	$-0.239035\pi$
$558$	−2318.53			−0.175898
$559$	1321.79	−	2744.73i	0.100011	−	0.207674i
$560$	890.897	−	203.341i	0.0672273	−	0.0153442i
$561$	273.969	−	568.901i	0.0206185	−	0.0428147i
$562$	−347.263	−	1521.46i	−0.0260648	−	0.114197i
$563$	2921.72	+	12800.9i	0.218714	+	0.958247i	0.958430	+	0.285328i	$0.0921025\pi$
$563$	2921.72	+	12800.9i	0.218714	+	0.958247i	−0.739716	+	0.672919i	$0.765040\pi$
$564$	771.217	+	615.025i	0.0575782	+	0.0459171i
$565$	540.546	+	260.313i	0.0402495	+	0.0193831i
$566$	10545.5	+	13223.7i	0.783148	+	0.982036i
$567$	4758.00	−	2291.33i	0.352412	−	0.169712i
$568$	38.8275	+	170.115i	0.00286825	+	0.0125666i
$569$	19815.2	−	9542.52i	1.45993	−	0.703063i	0.475639	−	0.879640i	$-0.342217\pi$
$569$	19815.2	−	9542.52i	1.45993	−	0.703063i	0.984287	+	0.176577i	$0.0565024\pi$
$570$	−2694.41	+	5595.00i	−0.197994	+	0.411138i
$571$			9875.06i			0.723745i	0.932228	+	0.361872i	$0.117862\pi$
$571$			9875.06i			0.723745i	−0.932228	+	0.361872i	$0.882138\pi$
$572$	−38.4455			−0.00281029
$573$	8671.31	+	1979.17i	0.632197	+	0.144295i
$574$	−4108.85	+	8532.11i	−0.298781	+	0.620424i
$575$	1406.17	−	1763.28i	0.101985	−	0.127885i
$576$	−3066.30	+	3845.01i	−0.221810	+	0.278141i
$577$		−	5663.40i		−	0.408614i	−0.978907	−	0.204307i	$-0.934506\pi$
$577$		−	5663.40i		−	0.408614i	0.978907	−	0.204307i	$-0.0654941\pi$
$578$	11845.4	+	9446.37i	0.852427	+	0.679788i
$579$	2961.83	−	676.017i	0.212589	−	0.0485221i
$580$	399.859	−	91.2652i	0.0286263	−	0.00653376i
$581$	−3727.30	+	16330.4i	−0.266152	+	1.16609i
$582$	−552.080	−	265.867i	−0.0393203	−	0.0189357i
$583$	−678.164	+	540.818i	−0.0481761	+	0.0384192i
$584$	2493.35	−	10924.1i	0.176670	−	0.774044i
$585$	467.582			0.0330464
$586$	−4212.49	+	8747.32i	−0.296956	+	0.616636i
$587$	−16438.7	+	7916.48i	−1.15588	+	0.556641i	−0.910794	−	0.412861i	$-0.864529\pi$
$587$	−16438.7	+	7916.48i	−1.15588	+	0.556641i	−0.245083	+	0.969502i	$0.578815\pi$
$588$	9816.48	+	2240.55i	0.688478	+	0.157141i
$589$	13516.9	−	3085.13i	0.945590	−	0.215825i
$590$	−1831.36			−0.127789
$591$	−1218.76	+	10020.1i	−0.0848277	+	0.697416i
$592$	−218.182			−0.0151473
$593$	10834.4	−	2472.88i	0.750278	−	0.171246i	0.169751	−	0.985487i	$-0.445704\pi$
$593$	10834.4	−	2472.88i	0.750278	−	0.171246i	0.580527	+	0.814241i	$0.302847\pi$
$594$	397.240	+	90.6675i	0.0274393	+	0.00626285i
$595$	−19787.5	+	9529.14i	−1.36337	+	0.656566i
$596$	1428.38	−	2966.07i	0.0981693	−	0.203851i
$597$	−14595.5			−1.00059
$598$	−58.2813	+	255.347i	−0.00398545	+	0.0174614i
$599$	−1286.50	+	1025.95i	−0.0877542	+	0.0699816i	−0.666384	−	0.745608i	$-0.732159\pi$
$599$	−1286.50	+	1025.95i	−0.0877542	+	0.0699816i	0.578630	+	0.815590i	$0.303588\pi$
$600$	6531.15	+	3145.24i	0.444389	+	0.214006i
$601$	952.024	−	4171.09i	0.0646154	−	0.283099i	−0.932290	−	0.361712i	$-0.882192\pi$
$601$	952.024	−	4171.09i	0.0646154	−	0.283099i	0.996905	+	0.0786137i	$0.0250494\pi$
$602$	−30262.2	+	6907.15i	−2.04883	+	0.467632i
$603$	6540.76	−	1492.89i	0.441725	−	0.100821i
$604$	6421.16	+	5120.70i	0.432572	+	0.344964i
$605$		−	8308.38i		−	0.558320i
$606$	5458.17	−	6844.33i	0.365880	−	0.458799i
$607$	18101.2	−	22698.2i	1.21039	−	1.51778i	0.417192	−	0.908818i	$-0.363014\pi$
$607$	18101.2	−	22698.2i	1.21039	−	1.51778i	0.793198	−	0.608963i	$-0.208414\pi$
$608$	11402.3	−	23677.0i	0.760564	−	1.57933i
$609$	−1526.25	−	348.356i	−0.101554	−	0.0231792i
$610$	8734.54			0.579756
$611$		−	316.257i		−	0.0209401i
$612$	3187.23	−	6618.35i	0.210517	−	0.437142i
$613$	−10412.9	+	5014.59i	−0.686091	+	0.330404i	−0.744248	−	0.667904i	$-0.767192\pi$
$613$	−10412.9	+	5014.59i	−0.686091	+	0.330404i	0.0581572	+	0.998307i	$0.481478\pi$
$614$	−2586.97	−	11334.3i	−0.170036	−	0.744974i
$615$	3495.02	−	1683.11i	0.229159	−	0.110357i
$616$	662.388	+	830.608i	0.0433253	+	0.0543282i
$617$	15325.4	+	7380.32i	0.999963	+	0.481557i	0.860926	−	0.508730i	$-0.169885\pi$
$617$	15325.4	+	7380.32i	0.999963	+	0.481557i	0.139037	+	0.990287i	$0.455599\pi$
$618$	1679.99	+	1339.75i	0.109351	+	0.0872048i
$619$	1797.68	+	7876.15i	0.116728	+	0.511421i	0.999160	+	0.0409798i	$0.0130479\pi$
$619$	1797.68	+	7876.15i	0.116728	+	0.511421i	−0.882432	+	0.470441i	$0.844095\pi$
$620$	604.389	+	2648.00i	0.0391498	+	0.171526i
$621$	−1691.41	+	3512.25i	−0.109298	+	0.226959i
$622$	−813.284	+	185.627i	−0.0524272	+	0.0119662i
$623$	−21211.0	+	44045.0i	−1.36404	+	2.83246i
$624$	−95.5095			−0.00612731
$625$	−554.497	+	2429.41i	−0.0354878	+	0.155482i
$626$	−9213.21	−	7347.29i	−0.588233	−	0.469100i
$627$	−819.094			−0.0521714
$628$	−4095.21	−	5135.23i	−0.260217	−	0.326302i
$629$	5112.31	−	1166.85i	0.324072	−	0.0739672i
$630$	−2970.47	−	3724.85i	−0.187851	−	0.235558i
$631$	2714.03	+	11890.9i	0.171226	+	0.750191i	0.985495	+	0.169703i	$0.0542809\pi$
$631$	2714.03	+	11890.9i	0.171226	+	0.750191i	−0.814269	+	0.580488i	$0.802862\pi$
$632$	13642.5	+	6569.88i	0.858654	+	0.413506i
$633$	−966.454	+	4234.31i	−0.0606842	+	0.265875i
$634$	−1939.63	−	8498.06i	−0.121502	−	0.532336i
$635$	1076.45	−	858.442i	0.0672720	−	0.0536476i
$636$	7689.58	−	6132.23i	0.479421	−	0.382325i
$637$	−1400.66	−	2908.50i	−0.0871212	−	0.180909i
$638$	−24.0174	−	30.1168i	−0.00149037	−	0.00186887i
$639$	80.6935	−	64.3509i	0.00499559	−	0.00398385i
$640$	4245.15	+	2044.35i	0.262194	+	0.126266i
$641$	−21301.6	−	16987.5i	−1.31258	−	1.04675i	−0.995140	−	0.0984666i	$-0.968606\pi$
$641$	−21301.6	−	16987.5i	−1.31258	−	1.04675i	−0.317437	−	0.948279i	$-0.602822\pi$
$642$	7622.55	−	9558.38i	0.468595	−	0.587600i
$643$	10050.5	+	2293.96i	0.616411	+	0.140692i	0.519314	−	0.854583i	$-0.326187\pi$
$643$	10050.5	+	2293.96i	0.616411	+	0.140692i	0.0970964	+	0.995275i	$0.469044\pi$
$644$	−3376.67	+	1626.12i	−0.206614	+	0.0995000i
$645$	11455.9	+	5516.89i	0.699344	+	0.336787i
$646$	6960.17	−	30494.5i	0.423907	−	1.85726i
$647$	6898.48	+	14324.8i	0.419176	+	0.870429i	0.998469	+	0.0553092i	$0.0176144\pi$
$647$	6898.48	+	14324.8i	0.419176	+	0.870429i	−0.579293	+	0.815119i	$0.696671\pi$
$648$	−3895.81	−	889.194i	−0.236176	−	0.0539056i
$649$	−104.807	−	217.634i	−0.00633903	−	0.0131631i
$650$	−190.690	−	835.467i	−0.0115069	−	0.0504150i
$651$	2306.93	−	10107.3i	0.138888	−	0.608506i
$652$	2198.61	+	9632.75i	0.132062	+	0.578600i
$653$	−4302.63	+	2072.04i	−0.257848	+	0.124173i	−0.558343	−	0.829610i	$-0.688563\pi$
$653$	−4302.63	+	2072.04i	−0.257848	+	0.124173i	0.300495	+	0.953784i	$0.402848\pi$
$654$	−19.1475	+	24.0102i	−0.00114484	+	0.00143559i
$655$	3060.66	−	13409.6i	0.182580	−	0.799936i
$656$	732.458	−	352.733i	0.0435940	−	0.0209938i
$657$	−6461.61	+	1474.82i	−0.383701	+	0.0875772i
$658$	−2519.37	+	2009.13i	−0.149263	+	0.119033i
$659$			17762.0i			1.04994i	0.851121	+	0.524970i	$0.175923\pi$
$659$			17762.0i			1.04994i	−0.851121	+	0.524970i	$0.824077\pi$
$660$		−	160.463i		−	0.00946368i
$661$	10005.2	+	4818.26i	0.588741	+	0.283523i	0.704442	−	0.709761i	$-0.251197\pi$
$661$	10005.2	+	4818.26i	0.588741	+	0.283523i	−0.115701	+	0.993284i	$0.536911\pi$
$662$	−6910.42	+	14349.6i	−0.405712	+	0.842469i
$663$	2237.92	−	510.790i	0.131091	−	0.0299207i
$664$	9909.39	−	7902.48i	0.579155	−	0.461861i
$665$	22274.1	+	17763.0i	1.29887	+	1.03582i
$666$	493.552	+	1024.87i	0.0287159	+	0.0596291i
$667$	332.048	−	159.906i	0.0192758	−	0.00928273i
$668$			7282.56i			0.421812i
$669$	−66.7028	−	53.1937i	−0.00385483	−	0.00307412i
$670$	2428.18	+	5042.16i	0.140013	+	0.290740i
$671$	499.870	+	1037.99i	0.0287590	+	0.0597186i
$672$	−12252.0	−	15363.6i	−0.703322	−	0.881938i
$673$	1811.94	+	413.564i	0.103782	+	0.0236875i	0.274096	−	0.961702i	$-0.411621\pi$
$673$	1811.94	+	413.564i	0.103782	+	0.0236875i	−0.170315	+	0.985390i	$0.554478\pi$
$674$	−11940.1			−0.682367
$675$		−	12754.8i		−	0.727308i
$676$	6313.59	+	7917.00i	0.359217	+	0.450444i
$677$	246.699	+	512.275i	0.0140050	+	0.0290817i	0.907854	−	0.419286i	$-0.137720\pi$
$677$	246.699	+	512.275i	0.0140050	+	0.0290817i	−0.893849	+	0.448368i	$0.852005\pi$
$678$			638.929i			0.0361916i
$679$	−1752.74	+	2197.87i	−0.0990633	+	0.124222i
$680$	16201.8	+	3697.96i	0.913693	+	0.208544i
$681$	7126.32	−	8936.12i	0.401000	−	0.502838i
$682$	199.444	−	159.051i	0.0111981	−	0.00893018i
$683$	1856.71	+	2328.24i	0.104019	+	0.130436i	0.831116	−	0.556099i	$-0.187702\pi$
$683$	1856.71	+	2328.24i	0.104019	+	0.130436i	−0.727097	+	0.686535i	$0.759131\pi$
$684$	−9528.98			−0.532675
$685$	−9570.59	−	7632.29i	−0.533830	−	0.425715i
$686$	−5978.49	+	12414.5i	−0.332740	+	0.690942i
$687$	−14499.8	+	18182.2i	−0.805244	+	1.00974i
$688$	2400.85	+	1156.19i	0.133040	+	0.0640686i
$689$	−3074.24	−	701.676i	−0.169985	−	0.0387979i
$690$	−1065.77	−	243.254i	−0.0588015	−	0.0134211i
$691$	−16362.4	−	7879.70i	−0.900801	−	0.433803i	−0.0746227	−	0.997212i	$-0.523775\pi$
$691$	−16362.4	−	7879.70i	−0.900801	−	0.433803i	−0.826178	+	0.563409i	$0.809490\pi$
$692$	−8819.01	+	11058.7i	−0.484463	+	0.607497i
$693$	272.654	−	566.173i	0.0149456	−	0.0310348i
$694$	−9684.48	−	7723.12i	−0.529709	−	0.422429i
$695$	7918.70			0.432192
$696$	738.572	+	926.140i	0.0402234	+	0.0504386i
$697$	−15276.1	+	12182.3i	−0.830161	+	0.662031i
$698$	2242.58	−	2812.10i	0.121609	−	0.152492i
$699$	−16716.1	−	3815.35i	−0.904525	−	0.206452i
$700$	7645.51	−	9587.16i	0.412818	−	0.517658i
$701$		−	21293.0i		−	1.14726i	−0.819115	−	0.573629i	$-0.805535\pi$
$701$		−	21293.0i		−	1.14726i	0.819115	−	0.573629i	$-0.194465\pi$
$702$	642.686	+	1334.55i	0.0345536	+	0.0717512i
$703$	−4241.11	−	5318.19i	−0.227534	−	0.285319i
$704$		−	541.103i		−	0.0289681i
$705$	1319.99			0.0705159
$706$	−3618.60	−	825.923i	−0.192901	−	0.0440284i
$707$	−25040.5	−	31399.8i	−1.33203	−	1.67031i
$708$	1188.39	+	2467.71i	0.0630823	+	0.130992i
$709$	−5211.48	−	10821.7i	−0.276052	−	0.573228i	0.716138	−	0.697958i	$-0.245908\pi$
$709$	−5211.48	−	10821.7i	−0.276052	−	0.573228i	−0.992191	+	0.124730i	$0.960194\pi$
$710$	67.3116	+	53.6792i	0.00355797	+	0.00283739i
$711$		−	8956.54i		−	0.472428i
$712$	33327.9	−	16049.9i	1.75423	−	0.844794i
$713$	1058.95	+	2198.93i	0.0556213	+	0.115499i
$714$	−18286.2	−	14582.7i	−0.958463	−	0.764349i
$715$	−40.2222	+	32.0761i	−0.00210381	+	0.00167773i
$716$	6530.25	−	1490.49i	0.340848	−	0.0777962i
$717$	−7569.52	+	15718.3i	−0.394266	+	0.818702i
$718$	7824.31	+	3767.99i	0.406686	+	0.195850i
$719$		−	13572.9i		−	0.704011i	−0.935998	−	0.352005i	$-0.885500\pi$
$719$		−	13572.9i		−	0.704011i	0.935998	−	0.352005i	$-0.114500\pi$
$720$			408.999i			0.0211701i
$721$	7707.32	−	6146.38i	0.398108	−	0.317480i
$722$	−27359.7	+	6244.67i	−1.41028	+	0.321887i
$723$	−13550.0	+	6525.32i	−0.696997	+	0.335656i
$724$	1872.60	−	8204.39i	0.0961251	−	0.421152i
$725$	−751.828	+	942.763i	−0.0385134	+	0.0482943i
$726$	7971.79	−	3839.01i	0.407522	−	0.196252i
$727$	−4219.47	−	18486.7i	−0.215256	−	0.943100i	−0.960931	−	0.276789i	$-0.910730\pi$
$727$	−4219.47	−	18486.7i	−0.215256	−	0.943100i	0.745674	−	0.666311i	$-0.232127\pi$
$728$	−859.406	+	3765.30i	−0.0437523	+	0.191692i
$729$	3782.59	+	16572.6i	0.192176	+	0.841976i
$730$	−2398.80	−	4981.15i	−0.121621	−	0.252549i
$731$	−62438.5	−	14251.2i	−3.15919	−	0.721065i
$732$	−5667.93	−	11769.6i	−0.286192	−	0.594285i
$733$	560.625	−	2456.26i	0.0282499	−	0.123771i	−0.958837	−	0.283958i	$-0.908353\pi$
$733$	560.625	−	2456.26i	0.0282499	−	0.123771i	0.987087	+	0.160187i	$0.0512097\pi$
$734$	13517.7	+	6509.77i	0.679763	+	0.327357i
$735$	12139.5	−	5846.07i	0.609213	−	0.293382i
$736$	4510.14	+	1029.41i	0.225877	+	0.0515551i
$737$	−460.235	+	577.117i	−0.0230027	+	0.0288445i
$738$	−3313.80	−	2642.67i	−0.165288	−	0.131813i
$739$	25197.3	+	12134.4i	1.25426	+	0.604020i	0.938651	−	0.344870i	$-0.112077\pi$
$739$	25197.3	+	12134.4i	1.25426	+	0.604020i	0.315609	+	0.948889i	$0.397791\pi$
$740$	1041.85	−	830.850i	0.0517558	−	0.0412739i
$741$	−1856.55	−	2328.04i	−0.0920407	−	0.115415i
$742$	13940.5	+	28947.7i	0.689718	+	1.43221i
$743$	16580.2	−	13222.2i	0.818664	−	0.652862i	−0.121876	−	0.992545i	$-0.538891\pi$
$743$	16580.2	−	13222.2i	0.818664	−	0.652862i	0.940540	+	0.339683i	$0.110320\pi$
$744$	−6133.21	+	4891.07i	−0.302224	+	0.241015i
$745$	−980.279	−	4294.88i	−0.0482076	−	0.211211i
$746$	2652.75	−	11622.5i	0.130193	−	0.570413i
$747$	−6754.60	−	3252.85i	−0.330841	−	0.159324i
$748$	179.848	+	787.966i	0.00879130	+	0.0385172i
$749$	−34970.1	−	43851.1i	−1.70598	−	2.13923i
$750$	8561.26	−	1954.05i	0.416817	−	0.0951358i
$751$	−22728.6	−	28500.8i	−1.10437	−	1.38483i	−0.915255	−	0.402875i	$-0.868011\pi$
$751$	−22728.6	−	28500.8i	−1.10437	−	1.38483i	−0.189111	−	0.981956i	$-0.560561\pi$
$752$	276.633			0.0134146
$753$	−1276.67	−	1018.11i	−0.0617855	−	0.0492723i
$754$	31.1610	−	136.525i	0.00150506	−	0.00659410i
$755$	10990.2			0.529770
$756$	−9196.41	+	19096.5i	−0.442421	+	0.918697i
$757$	−32640.3	+	7449.94i	−1.56715	+	0.357692i	−0.915975	−	0.401235i	$-0.868581\pi$
$757$	−32640.3	+	7449.94i	−1.56715	+	0.357692i	−0.651175	+	0.758927i	$0.725724\pi$
$758$	−9495.98	+	19718.6i	−0.455026	+	0.944871i
$759$	−32.0851	−	140.574i	−0.00153441	−	0.00672268i
$760$	−4796.98	−	21017.0i	−0.228954	−	1.00311i
$761$	18511.9	+	14762.7i	0.881808	+	0.703218i	0.955793	−	0.294041i	$-0.0950003\pi$
$761$	18511.9	+	14762.7i	0.881808	+	0.703218i	−0.0739851	+	0.997259i	$0.523572\pi$
$762$	1321.06	+	636.187i	0.0628042	+	0.0302449i
$763$	87.8433	+	110.152i	0.00416794	+	0.00522644i
$764$	−10257.2	+	4939.61i	−0.485724	+	0.233912i
$765$	−2187.35	−	9583.40i	−0.103377	−	0.452926i
$766$	17708.7	−	8528.04i	0.835300	−	0.402259i
$767$	381.008	−	791.171i	0.0179366	−	0.0372458i
$768$			15522.1i			0.729304i
$769$	−3861.35			−0.181071			−0.0905357	−	0.995893i	$-0.528858\pi$
$769$	−3861.35			−0.181071			−0.0905357	+	0.995893i	$0.528858\pi$
$770$	511.050	+	116.644i	0.0239181	+	0.00545916i
$771$	−3595.16	+	7465.42i	−0.167933	+	0.348717i
$772$	−2424.51	+	3040.24i	−0.113031	+	0.141737i
$773$	9447.83	−	11847.2i	0.439605	−	0.551248i	−0.511834	−	0.859084i	$-0.671034\pi$
$773$	9447.83	−	11847.2i	0.439605	−	0.551248i	0.951439	+	0.307837i	$0.0996051\pi$
$774$		−	13893.0i		−	0.645184i
$775$	−6243.29	−	4978.86i	−0.289375	−	0.230769i
$776$	2073.82	−	473.337i	0.0959354	−	0.0218966i
$777$	−4958.88	+	1131.83i	−0.228956	+	0.0522578i
$778$	−4502.76	+	19727.9i	−0.207496	+	0.909099i
$779$	22835.7	+	10997.1i	1.05029	+	0.505792i
$780$	456.072	−	363.705i	0.0209359	−	0.0166958i
$781$	−2.52692	+	11.0711i	−0.000115775	+	0.000507243i
$782$	5506.15			0.251790
$783$	904.338	−	1877.88i	0.0412751	−	0.0857087i
$784$	2544.10	−	1225.17i	0.115894	−	0.0558115i
$785$	−8568.92	−	1955.80i	−0.389602	−	0.0889242i
$786$	14280.6	−	3259.45i	0.648056	−	0.147915i
$787$	17195.2			0.778836			0.389418	−	0.921061i	$-0.372676\pi$
$787$	17195.2			0.778836			0.389418	+	0.921061i	$0.372676\pi$
$788$	−6777.03	−	11000.2i	−0.306372	−	0.497291i
$789$	−11482.3			−0.518100
$790$	7283.90	−	1662.50i	0.328038	−	0.0748724i
$791$	2857.73	+	652.259i	0.128457	+	0.0293194i
$792$	−428.410	+	206.312i	−0.0192208	+	0.00925626i
$793$	−1817.19	+	3773.44i	−0.0813751	+	0.168977i
$794$	−15483.0			−0.692027
$795$	2928.65	−	12831.3i	0.130652	−	0.572425i
$796$	14606.3	−	11648.1i	0.650384	−	0.518664i
$797$	−30838.5	−	14851.1i	−1.37059	−	0.660039i	−0.403616	−	0.914929i	$-0.632247\pi$
$797$	−30838.5	−	14851.1i	−1.37059	−	0.660039i	−0.966970	+	0.254889i	$0.917961\pi$
$798$	−6751.29	+	29579.3i	−0.299490	+	1.31215i
$799$	−6481.90	+	1479.45i	−0.287000	+	0.0655059i
$800$	−14756.7	+	3368.11i	−0.652158	+	0.148851i
$801$	−17106.7	−	13642.2i	−0.754602	−	0.601775i
$802$		−	5134.08i		−	0.226048i
$803$	454.666	−	570.133i	0.0199811	−	0.0250555i
$804$	5218.52	−	6543.82i	0.228909	−	0.287043i
$805$	−2176.00	+	4518.51i	−0.0952720	+	0.197834i
$806$	904.116	+	206.359i	0.0395113	+	0.00901820i
$807$	20471.5			0.892973
$808$			30389.6i			1.32315i
$809$	11947.7	−	24809.6i	0.519230	−	1.07819i	−0.462271	−	0.886739i	$-0.652965\pi$
$809$	11947.7	−	24809.6i	0.519230	−	1.07819i	0.981501	−	0.191454i	$-0.0613204\pi$
$810$	−1776.41	+	855.474i	−0.0770576	+	0.0371090i
$811$	−5467.51	−	23954.7i	−0.236733	−	1.03719i	−0.943922	−	0.330169i	$-0.892894\pi$
$811$	−5467.51	−	23954.7i	−0.236733	−	1.03719i	0.707189	−	0.707024i	$-0.249963\pi$
$812$	1805.39	−	869.428i	0.0780254	−	0.0375750i
$813$	−8829.27	−	11071.6i	−0.380881	−	0.477609i
$814$	−112.762	−	54.3035i	−0.00485543	−	0.00233825i
$815$	10337.1	+	8243.55i	0.444285	+	0.354305i
$816$	446.793	+	1957.53i	0.0191678	+	0.0839795i
$817$	18486.6	+	80995.0i	0.791633	+	3.46837i
$818$	−8711.19	+	18089.0i	−0.372347	+	0.773186i
$819$	2227.18	−	508.340i	0.0950233	−	0.0216885i
$820$	−2154.37	+	4473.60i	−0.0917486	+	0.190518i
$821$	16251.8			0.690854			0.345427	−	0.938446i	$-0.387734\pi$
$821$	16251.8			0.690854			0.345427	+	0.938446i	$0.387734\pi$
$822$	2900.85	−	12709.5i	0.123089	−	0.539287i
$823$	−24042.7	−	19173.4i	−1.01832	−	0.812080i	−0.0360080	−	0.999352i	$-0.511464\pi$
$823$	−24042.7	−	19173.4i	−1.01832	−	0.812080i	−0.982308	+	0.187271i	$0.940036\pi$
$824$	−7459.35			−0.315363
$825$	294.144	+	368.845i	0.0124131	+	0.0155655i
$826$	−8723.11	+	1990.99i	−0.367453	+	0.0838686i
$827$	22621.6	+	28366.6i	0.951184	+	1.19275i	0.981160	+	0.193196i	$0.0618854\pi$
$827$	22621.6	+	28366.6i	0.951184	+	1.19275i	−0.0299761	+	0.999551i	$0.509543\pi$
$828$	−373.264	−	1635.38i	−0.0156665	−	0.0686392i
$829$	25735.7	+	12393.7i	1.07821	+	0.519239i	0.886744	−	0.462260i	$-0.152961\pi$
$829$	25735.7	+	12393.7i	1.07821	+	0.519239i	0.191467	+	0.981499i	$0.438676\pi$
$830$	1391.59	−	6096.97i	0.0581963	−	0.254975i
$831$	−1812.08	−	7939.25i	−0.0756443	−	0.331420i
$832$	1537.93	−	1226.46i	0.0640844	−	0.0511056i
$833$	−53059.4	+	42313.5i	−2.20696	+	1.75999i
$834$	3658.95	+	7597.89i	0.151917	+	0.315460i
$835$	6076.04	+	7619.11i	0.251820	+	0.315773i
$836$	819.699	−	653.688i	0.0339113	−	0.0270434i
$837$	12435.9	+	5988.83i	0.513559	+	0.247317i
$838$	4631.03	+	3693.12i	0.190902	+	0.152240i
$839$	−19995.7	+	25073.8i	−0.822797	+	1.03175i	0.176080	+	0.984376i	$0.443658\pi$
$839$	−19995.7	+	25073.8i	−0.822797	+	1.03175i	−0.998877	+	0.0473788i	$0.984913\pi$
$840$	−15715.6	−	3586.98i	−0.645523	−	0.147336i
$841$	21796.2	−	10496.5i	0.893690	−	0.430378i
$842$	11629.3	+	5600.40i	0.475978	+	0.229219i
$843$	−694.988	+	3044.94i	−0.0283946	+	0.124405i
$844$	−2412.08	−	5008.73i	−0.0983734	−	0.204274i
$845$	13210.7	+	3015.26i	0.537826	+	0.122755i
$846$	−625.775	−	1299.44i	−0.0254310	−	0.0528079i
$847$	−9032.61	−	39574.5i	−0.366428	−	1.60542i
$848$	613.763	−	2689.07i	0.0248546	−	0.108895i
$849$	−7532.31	−	33001.2i	−0.304486	−	1.33404i
$850$	−16231.4	+	7816.63i	−0.654980	+	0.315422i
$851$	746.585	−	936.188i	0.0300736	−	0.0377111i
$852$	28.6523	−	125.534i	0.00115212	−	0.00504779i
$853$	−1546.67	+	744.835i	−0.0620830	+	0.0298976i	−0.464668	−	0.885485i	$-0.653826\pi$
$853$	−1546.67	+	744.835i	−0.0620830	+	0.0298976i	0.402585	+	0.915383i	$0.368112\pi$
$854$	41604.3	−	9495.91i	1.66706	−	0.380496i
$855$	−9969.34	+	7950.29i	−0.398765	+	0.318005i
$856$			42440.3i			1.69460i
$857$		−	25763.1i		−	1.02690i	−0.858120	−	0.513449i	$-0.828367\pi$
$857$		−	25763.1i		−	1.02690i	0.858120	−	0.513449i	$-0.171633\pi$
$858$	−49.3619	−	23.7714i	−0.00196409	−	0.000945855i
$859$	−16609.1	+	34489.2i	−0.659716	+	1.36991i	0.255444	+	0.966824i	$0.417778\pi$
$859$	−16609.1	+	34489.2i	−0.659716	+	1.36991i	−0.915160	+	0.403091i	$0.867936\pi$
$860$	−15867.2	+	3621.59i	−0.629149	+	0.143599i
$861$	14817.6	−	11816.7i	0.586508	−	0.467724i
$862$	−7325.03	−	5841.51i	−0.289433	−	0.230815i
$863$	−2654.24	−	5511.58i	−0.104694	−	0.217400i	0.842040	−	0.539415i	$-0.181354\pi$
$863$	−2654.24	−	5511.58i	−0.104694	−	0.217400i	−0.946735	+	0.322014i	$0.895640\pi$
$864$	23571.8	−	11351.6i	0.928160	−	0.446978i
$865$			18927.7i			0.744001i
$866$	−14770.5	−	11779.1i	−0.579588	−	0.462206i
$867$	−13156.1	−	27318.9i	−0.515346	−	1.07013i
$868$	5757.65	+	11955.9i	0.225147	+	0.467522i
$869$	614.419	+	770.457i	0.0239847	+	0.0300759i
$870$	569.828	+	130.059i	0.0222057	+	0.00506831i
$871$	−2683.46			−0.104392
$872$		−	106.608i		−	0.00414014i
$873$	−784.485	−	983.713i	−0.0304133	−	0.0381370i
$874$	−3099.04	−	6435.23i	−0.119939	−	0.249056i
$875$		−	40286.7i		−	1.55650i
$876$	−5155.38	+	6464.64i	−0.198840	+	0.249338i
$877$	−9044.65	−	2064.38i	−0.348251	−	0.0794861i	0.0448175	−	0.998995i	$-0.485729\pi$
$877$	−9044.65	−	2064.38i	−0.348251	−	0.0794861i	−0.393069	+	0.919509i	$0.628587\pi$
$878$	9035.51	−	11330.2i	0.347305	−	0.435507i
$879$	15191.4	−	12114.7i	0.582926	−	0.464868i
$880$	−28.0573	−	35.1828i	−0.00107479	−	0.00134774i
$881$	10786.8			0.412505			0.206253	−	0.978499i	$-0.433873\pi$
$881$	10786.8			0.412505			0.206253	+	0.978499i	$0.433873\pi$
$882$	−11510.1	−	9178.98i	−0.439415	−	0.350422i
$883$	−16429.5	+	34116.1i	−0.626156	+	1.30023i	0.310699	+	0.950508i	$0.399437\pi$
$883$	−16429.5	+	34116.1i	−0.626156	+	1.30023i	−0.936855	+	0.349718i	$0.886277\pi$
$884$	−1831.93	+	2297.17i	−0.0696996	+	0.0874005i
$885$	3302.18	+	1590.25i	0.125426	+	0.0604018i
$886$	−1859.87	−	424.502i	−0.0705230	−	0.0160964i
$887$	32504.7	+	7418.99i	1.23044	+	0.280840i	0.787841	−	0.615878i	$-0.211199\pi$
$887$	32504.7	+	7418.99i	1.23044	+	0.280840i	0.442601	+	0.896719i	$0.354056\pi$
$888$	3467.62	+	1669.92i	0.131043	+	0.0631068i
$889$	4194.08	−	5259.21i	0.158228	−	0.198412i
$890$	7919.15	−	16444.3i	0.298259	−	0.619341i
$891$	−203.325	−	162.146i	−0.00764493	−	0.00609663i
$892$	109.204			0.00409912
$893$	5377.31	+	6742.93i	0.201506	+	0.252681i
$894$	3667.93	−	2925.08i	0.137219	−	0.109429i
$895$	5588.48	−	7007.73i	0.208718	−	0.261724i
$896$	22443.0	+	5122.47i	0.836795	+	0.190993i
$897$	326.818	−	409.817i	0.0121652	−	0.0152546i
$898$		−	765.802i		−	0.0284579i
$899$	−566.184	−	1175.69i	−0.0210048	−	0.0436168i
$900$	3421.95	+	4290.98i	0.126739	+	0.158925i
$901$			66291.1i			2.45114i
$902$	466.346			0.0172147
$903$	60564.7	+	13823.5i	2.23197	+	0.509432i
$904$	−1382.89	−	1734.10i	−0.0508788	−	0.0637999i
$905$	−4886.01	−	10145.9i	−0.179466	−	0.372664i
$906$	5078.21	+	10545.0i	0.186216	+	0.386682i
$907$	−20174.6	−	16088.7i	−0.738573	−	0.588992i	0.180269	−	0.983617i	$-0.442303\pi$
$907$	−20174.6	−	16088.7i	−0.738573	−	0.588992i	−0.918842	+	0.394625i	$0.870875\pi$
$908$			14630.0i			0.534706i
$909$	16195.4	−	7799.28i	0.590942	−	0.284583i
$910$	826.815	+	1716.90i	0.0301194	+	0.0625436i
$911$	−7660.54	−	6109.08i	−0.278600	−	0.222176i	0.474213	−	0.880410i	$-0.342733\pi$
$911$	−7660.54	−	6109.08i	−0.278600	−	0.222176i	−0.752814	+	0.658234i	$0.771304\pi$
$912$	2036.36	−	1623.95i	0.0739372	−	0.0589630i
$913$	804.188	−	183.551i	0.0291509	−	0.00665349i
$914$	12547.2	−	26054.6i	0.454076	−	0.942899i
$915$	−15749.6	−	7584.59i	−0.569032	−	0.274031i
$916$		−	29767.4i		−	1.07374i
$917$		−	67200.2i		−	2.42001i
$918$	24346.0	−	19415.3i	0.875314	−	0.698039i
$919$	14345.5	−	3274.27i	0.514923	−	0.117528i	0.0428401	−	0.999082i	$-0.486359\pi$
$919$	14345.5	−	3274.27i	0.514923	−	0.117528i	0.472083	+	0.881554i	$0.343502\pi$
$920$	3419.06	−	1646.53i	0.122525	−	0.0590049i
$921$	−5177.39	+	22683.6i	−0.185234	+	0.811564i
$922$	−20764.5	+	26037.9i	−0.741696	+	0.930058i
$923$	−37.1941	+	17.9117i	−0.00132639	+	0.000638756i
$924$	−174.451	−	764.319i	−0.00621105	−	0.0272124i
$925$	−871.804	+	3819.62i	−0.0309889	+	0.135771i
$926$	307.011	+	1345.10i	0.0108952	+	0.0477352i
$927$	1914.39	+	3975.27i	0.0678283	+	0.140847i
$928$	−2411.41	−	550.389i	−0.0853000	−	0.0194692i
$929$	8356.78	+	17353.0i	0.295131	+	0.612847i	0.994826	−	0.101596i	$-0.0323948\pi$
$929$	8356.78	+	17353.0i	0.295131	+	0.612847i	−0.699694	+	0.714442i	$0.746680\pi$
$930$	−861.298	+	3773.59i	−0.0303689	+	0.133055i
$931$	79316.8	+	38197.0i	2.79216	+	1.34463i
$932$	19773.4	−	9522.36i	0.694956	−	0.334673i
$933$	1627.65	+	371.500i	0.0571134	+	0.0130358i
$934$	1437.53	−	1802.61i	0.0503613	−	0.0631511i
$935$	845.581	+	674.328i	0.0295759	+	0.0235860i
$936$	−1557.41	−	750.011i	−0.0543864	−	0.0261911i
$937$	−36580.5	+	29172.0i	−1.27538	+	1.01708i	−0.276963	+	0.960881i	$0.589328\pi$
$937$	−36580.5	+	29172.0i	−1.27538	+	1.01708i	−0.998419	+	0.0562025i	$0.982101\pi$
$938$	17047.6	+	21377.0i	0.593414	+	0.744118i
$939$	10232.7	+	21248.4i	0.355624	+	0.738461i
$940$	−1320.97	+	1053.44i	−0.0458353	+	0.0365524i
$941$	−12354.0	+	9851.98i	−0.427979	+	0.341302i	−0.813671	−	0.581326i	$-0.802534\pi$
$941$	−12354.0	+	9851.98i	−0.427979	+	0.341302i	0.385692	+	0.922628i	$0.373963\pi$
$942$	−2082.83	−	9125.48i	−0.0720407	−	0.315631i
$943$	−992.829	+	4349.87i	−0.0342852	+	0.150213i
$944$	692.046	+	333.272i	0.0238604	+	0.0114905i
$945$	6311.36	+	27651.9i	0.217258	+	0.951869i
$946$	953.058	+	1195.10i	0.0327554	+	0.0410740i
$947$	27176.5	−	6202.86i	0.932543	−	0.212847i	0.270850	−	0.962622i	$-0.412695\pi$
$947$	27176.5	−	6202.86i	0.932543	−	0.212847i	0.661693	+	0.749775i	$0.269838\pi$
$948$	−6966.79	−	8736.07i	−0.238682	−	0.299298i
$949$	2650.99			0.0906793
$950$	18271.1	+	14570.8i	0.623994	+	0.497618i
$951$	−3881.83	+	17007.4i	−0.132363	+	0.579920i
$952$	81192.7			2.76415
$953$	−11991.6	+	24900.7i	−0.407602	+	0.846394i	0.591591	+	0.806238i	$0.298500\pi$
$953$	−11991.6	+	24900.7i	−0.407602	+	0.846394i	−0.999193	+	0.0401564i	$0.987214\pi$
$954$	−14019.8	+	3199.94i	−0.475796	+	0.108597i
$955$	−6609.98	+	13725.8i	−0.223973	+	0.465084i
$956$	−4969.05	−	21770.8i	−0.168107	−	0.736526i
$957$	17.1548	+	75.1600i	0.000579452	+	0.00253874i
$958$	−9514.01	−	7587.17i	−0.320860	−	0.255877i
$959$	−53884.2	−	25949.2i	−1.81440	−	0.873769i
$960$	5118.99	+	6419.01i	0.172099	+	0.215805i
$961$	−19054.9	+	9176.37i	−0.639620	+	0.308025i
$962$	−101.244	−	443.580i	−0.00339318	−	0.0148665i
$963$	22617.5	−	10892.0i	0.756841	−	0.364476i
$964$	8352.37	−	17343.9i	0.279058	−	0.579469i
$965$			5203.58i			0.173584i
$966$	−5340.91			−0.177889
$967$	19740.5	+	4505.64i	0.656476	+	0.149836i	0.537768	−	0.843093i	$-0.319268\pi$
$967$	19740.5	+	4505.64i	0.656476	+	0.149836i	0.118708	+	0.992929i	$0.462125\pi$
$968$	−13326.8	+	27673.4i	−0.442500	+	0.918861i
$969$	−39029.8	+	48941.9i	−1.29393	+	1.62254i
$970$	654.389	−	820.578i	0.0216610	−	0.0271620i
$971$			28112.2i			0.929107i	0.885545	+	0.464553i	$0.153785\pi$
$971$			28112.2i			0.929107i	−0.885545	+	0.464553i	$0.846215\pi$
$972$	−12340.5	−	9841.24i	−0.407225	−	0.324751i
$973$	37718.3	−	8608.95i	1.24275	−	0.283649i
$974$	−24718.7	+	5641.88i	−0.813180	+	0.185603i
$975$	−381.633	+	1672.04i	−0.0125354	+	0.0549213i
$976$	−3300.67	−	1589.52i	−0.108250	−	0.0521304i
$977$	24230.7	−	19323.3i	0.793457	−	0.632761i	−0.140526	−	0.990077i	$-0.544879\pi$
$977$	24230.7	−	19323.3i	0.793457	−	0.632761i	0.933984	+	0.357316i	$0.116308\pi$
$978$	−3133.18	+	13727.4i	−0.102442	+	0.448826i
$979$	2407.40			0.0785913
$980$	−7482.93	+	15538.5i	−0.243912	+	0.506488i
$981$	−56.8141	+	27.3602i	−0.00184907	+	0.000890464i
$982$	−262.238	−	59.8542i	−0.00852175	−	0.00194503i
$983$	−20546.9	+	4689.70i	−0.666679	+	0.152165i	−0.542449	−	0.840088i	$-0.682503\pi$
$983$	−20546.9	+	4689.70i	−0.666679	+	0.152165i	−0.124229	+	0.992254i	$0.539646\pi$
$984$	−14340.9			−0.464605
$985$	−16268.0	−	5854.28i	−0.526234	−	0.189373i
$986$	−2943.95			−0.0950855
$987$	6287.37	−	1435.05i	0.202765	−	0.0462798i
$988$	3715.85	+	848.118i	0.119653	+	0.0273100i
$989$	−13176.3	+	6345.39i	−0.423644	+	0.204016i
$990$	−101.796	+	211.382i	−0.00326797	+	0.00678601i
$991$	−50823.5			−1.62912			−0.814561	−	0.580078i	$-0.803022\pi$
$991$	−50823.5			−1.62912			−0.814561	+	0.580078i	$0.803022\pi$
$992$	3644.86	−	15969.2i	0.116658	−	0.511111i
$993$	24920.9	−	19873.7i	0.796414	−	0.635119i
$994$	378.976	+	182.505i	0.0120930	+	0.00582366i
$995$	5562.94	−	24372.8i	0.177243	−	0.776553i
$996$	−9118.54	+	2081.25i	−0.290092	+	0.0662117i
$997$	−7622.71	+	1739.83i	−0.242140	+	0.0552669i	−0.341868	−	0.939748i	$-0.611060\pi$
$997$	−7622.71	+	1739.83i	−0.242140	+	0.0552669i	0.0997285	+	0.995015i	$0.468203\pi$
$998$	−3130.98	−	2496.87i	−0.0993080	−	0.0791955i
$999$		−	6771.99i		−	0.214471i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.4.e.a.6.18	✓	288
197.33	even	14	inner	197.4.e.a.33.18	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.4.e.a.6.18	✓	288	1.1	even	1	trivial
197.4.e.a.33.18	yes	288	197.33	even	14	inner

Overview	Random
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Classical	Maass
Hilbert	Bianchi

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

Introduction

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Fields

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Groups

Database

Properties

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

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	197.4.e.a.6.18

Level	$197$
Weight	$4$
Character	197.6
Analytic conductor	$11.623$
Analytic rank	$0$
Dimension	$288$
Inner twists	$2$