LMFDB - Embedded newform 197.4.d.a.36.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(36,197)]

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([12]))

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

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

chi := DirichletCharacter("197.36");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	197.d (of order $7$, 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:	$294$
Relative dimension:	$49$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			36.7
Character	$\chi$	$=$	197.36
Dual form			197.4.d.a.104.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-4.04091 + 1.94600i) q^{2} +(-1.44300 - 0.694910i) q^{3} +(7.55409 - 9.47253i) q^{4} +(1.68297 + 2.11038i) q^{5} +7.18331 q^{6} +(0.423695 + 0.204041i) q^{7} +(-4.10768 + 17.9969i) q^{8} +(-15.2349 - 19.1039i) q^{9} +(-10.9075 - 5.25278i) q^{10} +(25.8357 - 12.4418i) q^{11} +(-17.4831 + 8.41941i) q^{12} +(12.3194 + 53.9746i) q^{13} -2.10917 q^{14} +(-0.961997 - 4.21478i) q^{15} +(3.14499 + 13.7791i) q^{16} +(25.8500 + 32.4148i) q^{17} +(98.7390 + 47.5502i) q^{18} -71.6730 q^{19} +32.7039 q^{20} +(-0.469600 - 0.588860i) q^{21} +(-80.1879 + 100.552i) q^{22} +(-136.801 + 65.8800i) q^{23} +(18.4336 - 23.1150i) q^{24} +(26.1938 - 114.763i) q^{25} +(-154.816 - 194.133i) q^{26} +(18.3309 + 80.3129i) q^{27} +(5.13341 - 2.47212i) q^{28} +(-192.571 + 92.7372i) q^{29} +(12.0893 + 15.1595i) q^{30} +(235.238 - 113.285i) q^{31} +(-131.598 - 165.019i) q^{32} -45.9268 q^{33} +(-167.536 - 80.6813i) q^{34} +(0.282463 + 1.23755i) q^{35} -296.048 q^{36} +(88.8204 - 389.147i) q^{37} +(289.624 - 139.476i) q^{38} +(19.7307 - 86.4461i) q^{39} +(-44.8934 + 21.6195i) q^{40} +(-202.332 - 253.716i) q^{41} +(3.04353 + 1.46569i) q^{42} +(-228.217 + 109.903i) q^{43} +(77.3098 - 338.716i) q^{44} +(14.6767 - 64.3028i) q^{45} +(424.598 - 532.429i) q^{46} +(22.5005 - 98.5812i) q^{47} +(5.03704 - 22.0687i) q^{48} +(-213.719 - 267.995i) q^{49} +(117.481 + 514.718i) q^{50} +(-14.7760 - 64.7379i) q^{51} +(604.338 + 291.034i) q^{52} +(-410.837 + 515.173i) q^{53} +(-230.362 - 288.865i) q^{54} +(69.7377 + 33.5839i) q^{55} +(-5.41250 + 6.78706i) q^{56} +(103.424 + 49.8063i) q^{57} +(597.694 - 749.485i) q^{58} +(-772.814 + 372.168i) q^{59} +(-47.1917 - 22.7263i) q^{60} +(-416.180 + 200.422i) q^{61} +(-730.123 + 915.546i) q^{62} +(-2.55696 - 11.2028i) q^{63} +(751.033 + 361.678i) q^{64} +(-93.1738 + 116.836i) q^{65} +(185.586 - 89.3734i) q^{66} +(199.075 - 872.204i) q^{67} +502.323 q^{68} +243.184 q^{69} +(-3.54967 - 4.45115i) q^{70} +(-246.997 - 309.724i) q^{71} +(406.392 - 195.708i) q^{72} +(-49.1168 + 215.195i) q^{73} +(398.365 + 1745.35i) q^{74} +(-117.547 + 147.400i) q^{75} +(-541.425 + 678.925i) q^{76} +13.4851 q^{77} +(88.4937 + 387.716i) q^{78} +(-4.25124 + 5.33088i) q^{79} +(-23.7862 + 29.8270i) q^{80} +(-117.447 + 514.571i) q^{81} +(1311.33 + 631.505i) q^{82} -55.5703 q^{83} -9.12539 q^{84} +(-24.9028 + 109.106i) q^{85} +(708.330 - 888.218i) q^{86} +342.323 q^{87} +(117.790 + 516.070i) q^{88} +(74.5523 + 35.9025i) q^{89} +(65.8259 + 288.402i) q^{90} +(-5.79337 + 25.3824i) q^{91} +(-409.358 + 1793.52i) q^{92} -418.171 q^{93} +(100.916 + 442.143i) q^{94} +(-120.624 - 151.257i) q^{95} +(75.2224 + 329.571i) q^{96} +(209.613 + 262.846i) q^{97} +(1385.14 + 667.047i) q^{98} +(-631.292 - 304.014i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 294 q - 5 q^{2} - 5 q^{3} - 161 q^{4} - 5 q^{5} + 58 q^{6} + 15 q^{7} + 115 q^{8} - 446 q^{9} - 211 q^{10} + 93 q^{11} - 47 q^{12} + 23 q^{13} + 656 q^{14} + 343 q^{15} - 1505 q^{16} - 17 q^{17} + 132 q^{18}+ \cdots + 4526 q^{99}+O(q^{100}) $ 294 * q - 5 * q^2 - 5 * q^3 - 161 * q^4 - 5 * q^5 + 58 * q^6 + 15 * q^7 + 115 * q^8 - 446 * q^9 - 211 * q^10 + 93 * q^11 - 47 * q^12 + 23 * q^13 + 656 * q^14 + 343 * q^15 - 1505 * q^16 - 17 * q^17 + 132 * q^18 + 512 * q^19 + 148 * q^20 - 47 * q^21 - 845 * q^22 - 143 * q^23 + 775 * q^24 - 952 * q^25 + 39 * q^26 + 1159 * q^27 - 130 * q^28 - 169 * q^29 + 1048 * q^30 - 269 * q^31 - 39 * q^32 + 234 * q^33 + 761 * q^34 + 949 * q^35 + 15930 * q^36 + 715 * q^37 - 987 * q^38 - 417 * q^39 - 3303 * q^40 + 65 * q^41 - 2334 * q^42 + 581 * q^43 - 1751 * q^44 - 2497 * q^45 + 13 * q^46 - 361 * q^47 - 3995 * q^48 - 3728 * q^49 + 3671 * q^50 + 213 * q^51 + 4036 * q^52 - 47 * q^53 + 1358 * q^54 - 4339 * q^55 + 680 * q^56 - 2470 * q^57 + 1483 * q^58 - 3375 * q^59 + 1549 * q^60 + 805 * q^61 - 1149 * q^62 - 4839 * q^63 - 7061 * q^64 + 457 * q^65 + 1224 * q^66 + 2261 * q^67 + 1216 * q^68 - 4378 * q^69 + 1360 * q^70 - 1687 * q^71 + 936 * q^72 + 3075 * q^73 - 601 * q^74 + 3549 * q^75 - 5960 * q^76 - 4318 * q^77 - 11681 * q^78 + 2973 * q^79 - 1671 * q^80 - 4288 * q^81 + 2197 * q^82 + 9380 * q^83 - 7416 * q^84 - 5171 * q^85 - 3868 * q^86 + 1826 * q^87 - 3252 * q^88 - 79 * q^89 + 19791 * q^90 + 8303 * q^91 + 8077 * q^92 + 2118 * q^93 + 6319 * q^94 - 3280 * q^95 - 13752 * q^96 - 17 * q^97 - 4434 * q^98 + 4526 * q^99

Character values

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

$n$	$2$
$\chi(n)$	$e\left(\frac{6}{7}\right)$

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 $

$2$	−4.04091	+	1.94600i	−1.42868	+	0.688014i	−0.978751	−	0.205053i	$-0.934263\pi$
$2$	−4.04091	+	1.94600i	−1.42868	+	0.688014i	−0.449925	+	0.893066i	$0.648549\pi$
$3$	−1.44300	−	0.694910i	−0.277705	−	0.133736i	0.289848	−	0.957073i	$-0.406395\pi$
$3$	−1.44300	−	0.694910i	−0.277705	−	0.133736i	−0.567553	+	0.823337i	$0.692110\pi$
$4$	7.55409	−	9.47253i	0.944261	−	1.18407i
$5$	1.68297	+	2.11038i	0.150529	+	0.188758i	0.851379	−	0.524551i	$-0.175767\pi$
$5$	1.68297	+	2.11038i	0.150529	+	0.188758i	−0.700849	+	0.713309i	$0.747195\pi$
$6$	7.18331			0.488762
$7$	0.423695	+	0.204041i	0.0228774	+	0.0110172i	0.445287	−	0.895388i	$-0.353101\pi$
$7$	0.423695	+	0.204041i	0.0228774	+	0.0110172i	−0.422410	+	0.906405i	$0.638816\pi$
$8$	−4.10768	+	17.9969i	−0.181535	+	0.795358i
$9$	−15.2349	−	19.1039i	−0.564255	−	0.707553i
$10$	−10.9075	−	5.25278i	−0.344926	−	0.166108i
$11$	25.8357	−	12.4418i	0.708160	−	0.341032i	−0.0448930	−	0.998992i	$-0.514295\pi$
$11$	25.8357	−	12.4418i	0.708160	−	0.341032i	0.753053	+	0.657960i	$0.228580\pi$
$12$	−17.4831	+	8.41941i	−0.420578	+	0.202540i
$13$	12.3194	+	53.9746i	0.262829	+	1.15153i	0.918167	+	0.396193i	$0.129669\pi$
$13$	12.3194	+	53.9746i	0.262829	+	1.15153i	−0.655338	+	0.755335i	$0.727474\pi$
$14$	−2.10917			−0.0402643
$15$	−0.961997	−	4.21478i	−0.0165591	−	0.0725501i
$16$	3.14499	+	13.7791i	0.0491405	+	0.215299i
$17$	25.8500	+	32.4148i	0.368796	+	0.462456i	0.931254	−	0.364370i	$-0.118716\pi$
$17$	25.8500	+	32.4148i	0.368796	+	0.462456i	−0.562458	+	0.826826i	$0.690144\pi$
$18$	98.7390	+	47.5502i	1.29294	+	0.622649i
$19$	−71.6730			−0.865417			−0.432708	−	0.901534i	$-0.642442\pi$
$19$	−71.6730			−0.865417			−0.432708	+	0.901534i	$0.642442\pi$
$20$	32.7039			0.365641
$21$	−0.469600	−	0.588860i	−0.00487977	−	0.00611903i
$22$	−80.1879	+	100.552i	−0.777096	+	0.974448i
$23$	−136.801	+	65.8800i	−1.24022	+	0.597257i	−0.934872	−	0.354984i	$-0.884486\pi$
$23$	−136.801	+	65.8800i	−1.24022	+	0.597257i	−0.305346	+	0.952242i	$0.598772\pi$
$24$	18.4336	−	23.1150i	0.156781	−	0.196597i
$25$	26.1938	−	114.763i	0.209550	−	0.918101i
$26$	−154.816	−	194.133i	−1.16776	−	1.46433i
$27$	18.3309	+	80.3129i	0.130659	+	0.572453i
$28$	5.13341	−	2.47212i	0.0346472	−	0.0166852i
$29$	−192.571	+	92.7372i	−1.23309	+	0.593823i	−0.932927	−	0.360066i	$-0.882754\pi$
$29$	−192.571	+	92.7372i	−1.23309	+	0.593823i	−0.300160	+	0.953889i	$0.597040\pi$
$30$	12.0893	+	15.1595i	0.0735731	+	0.0922577i
$31$	235.238	−	113.285i	1.36290	−	0.656340i	0.397622	−	0.917549i	$-0.369836\pi$
$31$	235.238	−	113.285i	1.36290	−	0.656340i	0.965282	+	0.261210i	$0.0841214\pi$
$32$	−131.598	−	165.019i	−0.726985	−	0.911610i
$33$	−45.9268			−0.242267
$34$	−167.536	−	80.6813i	−0.845066	−	0.406963i
$35$	0.282463	+	1.23755i	0.00136414	+	0.00597669i
$36$	−296.048			−1.37059
$37$	88.8204	−	389.147i	0.394648	−	1.72907i	−0.253306	−	0.967386i	$-0.581518\pi$
$37$	88.8204	−	389.147i	0.394648	−	1.72907i	0.647954	−	0.761680i	$-0.275625\pi$
$38$	289.624	−	139.476i	1.23640	−	0.595419i
$39$	19.7307	−	86.4461i	0.0810115	−	0.354935i
$40$	−44.8934	+	21.6195i	−0.177457	+	0.0854586i
$41$	−202.332	−	253.716i	−0.770705	−	0.966433i	0.229271	−	0.973363i	$-0.426366\pi$
$41$	−202.332	−	253.716i	−0.770705	−	0.966433i	−0.999976	+	0.00692945i	$0.997794\pi$
$42$	3.04353	+	1.46569i	0.0111816	+	0.00538477i
$43$	−228.217	+	109.903i	−0.809365	+	0.389770i	−0.792336	−	0.610085i	$-0.791135\pi$
$43$	−228.217	+	109.903i	−0.809365	+	0.389770i	−0.0170295	+	0.999855i	$0.505421\pi$
$44$	77.3098	−	338.716i	0.264884	−	1.16053i
$45$	14.6767	−	64.3028i	0.0486194	−	0.213015i
$46$	424.598	−	532.429i	1.36095	−	1.70657i
$47$	22.5005	−	98.5812i	0.0698306	−	0.305948i	−0.927936	−	0.372738i	$-0.878419\pi$
$47$	22.5005	−	98.5812i	0.0698306	−	0.305948i	0.997767	+	0.0667908i	$0.0212760\pi$
$48$	5.03704	−	22.0687i	0.0151465	−	0.0663613i
$49$	−213.719	−	267.995i	−0.623088	−	0.781327i
$50$	117.481	+	514.718i	0.332286	+	1.45584i
$51$	−14.7760	−	64.7379i	−0.0405697	−	0.177747i
$52$	604.338	+	291.034i	1.61167	+	0.776137i
$53$	−410.837	+	515.173i	−1.06477	+	1.33518i	−0.125464	+	0.992098i	$0.540042\pi$
$53$	−410.837	+	515.173i	−1.06477	+	1.33518i	−0.939306	+	0.343081i	$0.888529\pi$
$54$	−230.362	−	288.865i	−0.580525	−	0.727955i
$55$	69.7377	+	33.5839i	0.170971	+	0.0823355i
$56$	−5.41250	+	6.78706i	−0.0129156	+	0.0161957i
$57$	103.424	+	49.8063i	0.240330	+	0.115737i
$58$	597.694	−	749.485i	1.35312	−	1.69676i
$59$	−772.814	+	372.168i	−1.70529	+	0.821222i	−0.712451	+	0.701722i	$0.752415\pi$
$59$	−772.814	+	372.168i	−1.70529	+	0.821222i	−0.992834	+	0.119500i	$0.961871\pi$
$60$	−47.1917	−	22.7263i	−0.101540	−	0.0488992i
$61$	−416.180	+	200.422i	−0.873547	+	0.420678i	−0.816263	−	0.577680i	$-0.803958\pi$
$61$	−416.180	+	200.422i	−0.873547	+	0.420678i	−0.0572836	+	0.998358i	$0.518244\pi$
$62$	−730.123	+	915.546i	−1.49558	+	1.87539i
$63$	−2.55696	−	11.2028i	−0.00511344	−	0.0224034i
$64$	751.033	+	361.678i	1.46686	+	0.706403i
$65$	−93.1738	+	116.836i	−0.177797	+	0.222950i
$66$	185.586	−	89.3734i	0.346122	−	0.166683i
$67$	199.075	−	872.204i	0.362998	−	1.59040i	−0.382543	−	0.923938i	$-0.624952\pi$
$67$	199.075	−	872.204i	0.362998	−	1.59040i	0.745541	−	0.666460i	$-0.232191\pi$
$68$	502.323			0.895818
$69$	243.184			0.424289
$70$	−3.54967	−	4.45115i	−0.00606096	−	0.00760021i
$71$	−246.997	−	309.724i	−0.412861	−	0.517711i	0.531306	−	0.847180i	$-0.321702\pi$
$71$	−246.997	−	309.724i	−0.412861	−	0.517711i	−0.944166	+	0.329469i	$0.893130\pi$
$72$	406.392	−	195.708i	0.665191	−	0.320339i
$73$	−49.1168	+	215.195i	−0.0787492	+	0.345023i	−0.998918	−	0.0464982i	$-0.985194\pi$
$73$	−49.1168	+	215.195i	−0.0787492	+	0.345023i	0.920169	+	0.391521i	$0.128051\pi$
$74$	398.365	+	1745.35i	0.625798	+	2.74180i
$75$	−117.547	+	147.400i	−0.180976	+	0.226937i
$76$	−541.425	+	678.925i	−0.817180	+	1.02471i
$77$	13.4851			0.0199580
$78$	88.4937	+	387.716i	0.128461	+	0.562823i
$79$	−4.25124	+	5.33088i	−0.00605445	+	0.00759204i	−0.784849	−	0.619686i	$-0.787260\pi$
$79$	−4.25124	+	5.33088i	−0.00605445	+	0.00759204i	0.778795	+	0.627278i	$0.215831\pi$
$80$	−23.7862	+	29.8270i	−0.0332422	+	0.0416845i
$81$	−117.447	+	514.571i	−0.161107	+	0.705858i
$82$	1311.33	+	631.505i	1.76601	+	0.850464i
$83$	−55.5703			−0.0734896			−0.0367448	−	0.999325i	$-0.511699\pi$
$83$	−55.5703			−0.0734896			−0.0367448	+	0.999325i	$0.511699\pi$
$84$	−9.12539			−0.0118531
$85$	−24.9028	+	109.106i	−0.0317775	+	0.139226i
$86$	708.330	−	888.218i	0.888153	−	1.11371i
$87$	342.323			0.421849
$88$	117.790	+	516.070i	0.142686	+	0.625150i
$89$	74.5523	+	35.9025i	0.0887925	+	0.0427602i	0.477753	−	0.878494i	$-0.341451\pi$
$89$	74.5523	+	35.9025i	0.0887925	+	0.0427602i	−0.388960	+	0.921254i	$0.627166\pi$
$90$	65.8259	+	288.402i	0.0770962	+	0.337781i
$91$	−5.79337	+	25.3824i	−0.00667374	+	0.0292396i
$92$	−409.358	+	1793.52i	−0.463897	+	2.03247i
$93$	−418.171			−0.466261
$94$	100.916	+	442.143i	0.110731	+	0.485144i
$95$	−120.624	−	151.257i	−0.130271	−	0.163354i
$96$	75.2224	+	329.571i	0.0799725	+	0.350382i
$97$	209.613	+	262.846i	0.219412	+	0.275133i	0.879339	−	0.476196i	$-0.157985\pi$
$97$	209.613	+	262.846i	0.219412	+	0.275133i	−0.659928	+	0.751329i	$0.729413\pi$
$98$	1385.14	+	667.047i	1.42775	+	0.687570i
$99$	−631.292	−	304.014i	−0.640881	−	0.308632i
$100$	−889.222	−	1115.05i	−0.889222	−	1.11505i
$101$	−420.535	−	1842.48i	−0.414305	−	1.81519i	−0.563184	−	0.826332i	$-0.690424\pi$
$101$	−420.535	−	1842.48i	−0.414305	−	1.81519i	0.148879	−	0.988855i	$-0.452433\pi$
$102$	185.688	+	232.846i	0.180254	+	0.226031i
$103$	188.956	+	827.869i	0.180761	+	0.791964i	0.981269	+	0.192643i	$0.0617058\pi$
$103$	188.956	+	827.869i	0.180761	+	0.791964i	−0.800508	+	0.599322i	$0.795437\pi$
$104$	−1021.98			−0.963590
$105$	0.452394	−	1.98207i	0.000420468	−	0.00184219i
$106$	657.628	−	2881.25i	0.602589	−	2.64011i
$107$	193.979	+	849.877i	0.175258	+	0.767857i	0.983778	+	0.179388i	$0.0574119\pi$
$107$	193.979	+	849.877i	0.175258	+	0.767857i	−0.808520	+	0.588469i	$0.799731\pi$
$108$	899.240	+	433.051i	0.801198	+	0.385837i
$109$	277.201	+	1214.50i	0.243588	+	1.06723i	0.937723	+	0.347383i	$0.112930\pi$
$109$	277.201	+	1214.50i	0.243588	+	1.06723i	−0.694136	+	0.719844i	$0.744213\pi$
$110$	−347.158			−0.300911
$111$	−398.590	+	499.816i	−0.340833	+	0.427391i
$112$	−1.47898	+	6.47984i	−0.00124777	+	0.00546685i
$113$	367.180			0.305676			0.152838	−	0.988251i	$-0.451159\pi$
$113$	367.180			0.305676			0.152838	+	0.988251i	$0.451159\pi$
$114$	−514.849			−0.422983
$115$	−369.264	−	177.828i	−0.299426	−	0.144196i
$116$	−576.241	+	2524.68i	−0.461230	+	2.02078i
$117$	843.444	−	1057.65i	0.666466	−	0.835721i
$118$	2398.63	−	3007.79i	1.87129	−	2.34652i
$119$	4.33855	+	19.0084i	0.00334214	+	0.0146429i
$120$	79.8046			0.0607094
$121$	−317.180	+	397.731i	−0.238302	+	0.298821i
$122$	1291.72	−	1619.77i	0.958583	−	1.20203i
$123$	115.654	+	506.713i	0.0847819	+	0.371454i
$124$	703.917	−	3084.06i	0.509787	−	2.23352i
$125$	590.271	−	284.260i	0.422364	−	0.203400i
$126$	32.1330	+	40.2935i	0.0227193	+	0.0284891i
$127$	−1529.37	−	1917.78i	−1.06858	−	1.33996i	−0.937264	−	0.348621i	$-0.886650\pi$
$127$	−1529.37	−	1917.78i	−1.06858	−	1.33996i	−0.131320	−	0.991340i	$-0.541921\pi$
$128$	−2050.14			−1.41569
$129$	405.689			0.276891
$130$	149.143	−	653.440i	0.100621	−	0.440850i
$131$	−1776.17	+	855.358i	−1.18462	+	0.570481i	−0.919253	−	0.393668i	$-0.871206\pi$
$131$	−1776.17	+	855.358i	−1.18462	+	0.570481i	−0.265363	+	0.964149i	$0.585492\pi$
$132$	−346.935	+	435.043i	−0.228764	+	0.286861i
$133$	−30.3675	−	14.6242i	−0.0197985	−	0.00953443i
$134$	892.864	+	3911.89i	0.575610	+	2.52191i
$135$	−138.640	+	173.849i	−0.0883871	+	0.110834i
$136$	−689.550	+	332.070i	−0.434768	+	0.209373i
$137$	−1224.45	−	589.666i	−0.763593	−	0.367727i	0.0112040	−	0.999937i	$-0.496434\pi$
$137$	−1224.45	−	589.666i	−0.763593	−	0.367727i	−0.774797	+	0.632210i	$0.782148\pi$
$138$	−982.684	+	473.236i	−0.606171	+	0.291917i
$139$	−909.251	+	1140.17i	−0.554832	+	0.695738i	−0.977593	−	0.210504i	$-0.932490\pi$
$139$	−909.251	+	1140.17i	−0.554832	+	0.695738i	0.422761	+	0.906241i	$0.361061\pi$
$140$	13.8565	+	6.67293i	0.00836490	+	0.00402832i
$141$	−100.973	+	126.616i	−0.0603084	+	0.0756243i
$142$	1600.81	+	770.911i	0.946037	+	0.455587i
$143$	989.822	+	1241.20i	0.578833	+	0.725833i
$144$	215.322	−	270.005i	0.124608	−	0.156253i
$145$	−519.802	−	250.323i	−0.297705	−	0.143367i
$146$	−220.292	−	965.163i	−0.124873	−	0.547106i
$147$	122.163	+	535.232i	0.0685432	+	0.300307i
$148$	−3015.25	−	3781.01i	−1.67468	−	2.09998i
$149$	344.210	−	1508.08i	0.189254	−	0.829175i	−0.787757	−	0.615986i	$-0.788758\pi$
$149$	344.210	−	1508.08i	0.189254	−	0.829175i	0.977011	−	0.213189i	$-0.0683850\pi$
$150$	188.158	−	824.375i	0.102420	−	0.448733i
$151$	−1792.69	+	2247.96i	−0.966138	+	1.21150i	0.0112265	+	0.999937i	$0.496426\pi$
$151$	−1792.69	+	2247.96i	−0.966138	+	1.21150i	−0.977365	+	0.211562i	$0.932145\pi$
$152$	294.410	−	1289.89i	0.157104	−	0.688316i
$153$	225.430	−	987.672i	0.119117	−	0.521886i
$154$	−54.4920	+	26.2419i	−0.0285136	+	0.0137314i
$155$	634.972	+	305.787i	0.329047	+	0.158460i
$156$	−669.815	−	839.921i	−0.343770	−	0.431074i
$157$	3031.52	−	1459.90i	1.54103	−	0.742121i	0.545639	−	0.838020i	$-0.316287\pi$
$157$	3031.52	−	1459.90i	1.54103	−	0.742121i	0.995391	+	0.0958988i	$0.0305725\pi$
$158$	6.80496	−	29.8145i	0.00342642	−	0.0150121i
$159$	950.836	−	457.898i	0.474253	−	0.228388i
$160$	126.777	−	555.445i	0.0626411	−	0.274448i
$161$	−71.4041			−0.0349530
$162$	−526.759	−	2307.88i	−0.255470	−	1.11929i
$163$	−1577.46	−	759.664i	−0.758013	−	0.365040i	0.0146199	−	0.999893i	$-0.495346\pi$
$163$	−1577.46	−	759.664i	−0.758013	−	0.365040i	−0.772633	+	0.634853i	$0.781060\pi$
$164$	−3931.76			−1.87207
$165$	−77.2934	−	96.9229i	−0.0364684	−	0.0457299i
$166$	224.554	−	108.140i	0.104993	−	0.0505618i
$167$	1205.83	+	1512.06i	0.558741	+	0.700639i	0.978325	−	0.207078i	$-0.0663953\pi$
$167$	1205.83	+	1512.06i	0.558741	+	0.700639i	−0.419583	+	0.907717i	$0.637824\pi$
$168$	12.5266	−	6.03250i	0.00575267	−	0.00277034i
$169$	−782.067	+	376.623i	−0.355970	+	0.171426i
$170$	−111.691	−	489.349i	−0.0503900	−	0.220773i
$171$	1091.93	+	1369.24i	0.488316	+	0.612329i
$172$	−682.906	+	2992.01i	−0.302739	+	1.32639i
$173$	13.8028	−	17.3081i	0.00606593	−	0.00760643i	−0.778789	−	0.627286i	$-0.784166\pi$
$173$	13.8028	−	17.3081i	0.00606593	−	0.00760643i	0.784855	+	0.619679i	$0.212737\pi$
$174$	−1383.30	+	666.160i	−0.602686	+	0.290238i
$175$	34.5144	−	43.2797i	0.0149088	−	0.0186951i
$176$	252.690	+	316.864i	0.108223	+	0.135707i
$177$	1373.79			0.583392
$178$	−371.125			−0.156275
$179$	−2716.41	−	1308.16i	−1.13427	−	0.546235i	−0.229997	−	0.973191i	$-0.573872\pi$
$179$	−2716.41	−	1308.16i	−1.13427	−	0.546235i	−0.904272	+	0.426956i	$0.859586\pi$
$180$	−498.241	−	624.774i	−0.206315	−	0.258711i
$181$	−752.133	−	3295.31i	−0.308871	−	1.35325i	−0.856334	−	0.516422i	$-0.827264\pi$
$181$	−752.133	−	3295.31i	−0.308871	−	1.35325i	0.547464	−	0.836829i	$-0.315593\pi$
$182$	−25.9837	−	113.842i	−0.0105826	−	0.0463655i
$183$	739.821			0.298848
$184$	−623.700	−	2732.61i	−0.249890	−	1.09484i
$185$	970.730	−	467.479i	0.385781	−	0.185782i
$186$	1689.79	−	813.759i	0.666136	−	0.320794i
$187$	1071.15	+	515.839i	0.418879	+	0.201721i
$188$	−763.842	−	957.828i	−0.296324	−	0.371579i
$189$	−8.62039	+	37.7684i	−0.00331768	+	0.0145357i
$190$	781.775	+	376.483i	0.298505	+	0.143752i
$191$	1960.58			0.742737			0.371368	−	0.928486i	$-0.378889\pi$
$191$	1960.58			0.742737			0.371368	+	0.928486i	$0.378889\pi$
$192$	−832.403	−	1043.80i	−0.312883	−	0.392343i
$193$	963.841	−	1208.62i	0.359476	−	0.450768i	−0.568903	−	0.822405i	$-0.692632\pi$
$193$	963.841	−	1208.62i	0.359476	−	0.450768i	0.928378	+	0.371637i	$0.121203\pi$
$194$	−1358.52	−	654.229i	−0.502764	−	0.242118i
$195$	215.640	−	103.847i	0.0791914	−	0.0381365i
$196$	−4153.05			−1.51350
$197$	−2336.46	+	1478.62i	−0.845005	+	0.534758i
$197$	−2336.46	+	1478.62i	−0.845005	+	0.534758i
$198$	3142.60			1.12795
$199$	2366.70	−	1139.74i	0.843071	−	0.406001i	0.0380698	−	0.999275i	$-0.487879\pi$
$199$	2366.70	−	1139.74i	0.843071	−	0.406001i	0.805001	+	0.593274i	$0.202165\pi$
$200$	1957.78	+	942.815i	0.692178	+	0.333335i
$201$	−893.368	+	1120.25i	−0.313499	+	0.393115i
$202$	5284.81	+	6626.94i	1.84078	+	2.30827i
$203$	−100.513			−0.0347520
$204$	−724.851	−	349.070i	−0.248773	−	0.119803i
$205$	194.918	−	853.993i	0.0664082	−	0.290953i
$206$	−2374.58	−	2977.63i	−0.803131	−	1.00709i
$207$	3342.72	+	1609.77i	1.12239	+	0.540515i
$208$	−704.978	+	339.500i	−0.235007	+	0.113173i
$209$	−1851.72	+	891.743i	−0.612854	+	0.295135i
$210$	2.02902	+	8.88970i	0.000666740	+	0.00292118i
$211$	−2925.49			−0.954496			−0.477248	−	0.878769i	$-0.658366\pi$
$211$	−2925.49			−0.954496			−0.477248	+	0.878769i	$0.658366\pi$
$212$	1776.49	+	7783.33i	0.575520	+	2.52152i
$213$	141.185	+	618.571i	0.0454170	+	0.198985i
$214$	−2437.71	−	3056.79i	−0.778684	−	0.976439i
$215$	−616.019	−	296.659i	−0.195405	−	0.0941023i
$216$	−1520.68			−0.479024
$217$	122.784			0.0384106
$218$	−3483.55	−	4368.23i	−1.08227	−	1.35713i
$219$	220.417	−	276.394i	0.0680108	−	0.0852829i
$220$	844.929	−	406.897i	0.258932	−	0.124695i
$221$	−1431.12	+	1794.57i	−0.435601	+	0.546226i
$222$	638.024	−	2795.36i	0.192889	−	0.845102i
$223$	4066.76	+	5099.55i	1.22121	+	1.53135i	0.768725	+	0.639579i	$0.220891\pi$
$223$	4066.76	+	5099.55i	1.22121	+	1.53135i	0.452486	+	0.891772i	$0.350537\pi$
$224$	−22.0869	−	96.7691i	−0.00658814	−	0.0288645i
$225$	−2591.48	+	1247.99i	−0.767845	+	0.369775i
$226$	−1483.74	+	714.531i	−0.436712	+	0.210309i
$227$	2044.95	+	2564.29i	0.597921	+	0.749769i	0.985052	−	0.172255i	$-0.0551054\pi$
$227$	2044.95	+	2564.29i	0.597921	+	0.749769i	−0.387131	+	0.922025i	$0.626534\pi$
$228$	1253.07	−	603.445i	0.363975	−	0.175281i
$229$	1956.90	+	2453.88i	0.564698	+	0.708108i	0.979418	−	0.201840i	$-0.0646922\pi$
$229$	1956.90	+	2453.88i	0.564698	+	0.708108i	−0.414721	+	0.909949i	$0.636121\pi$
$230$	1838.21			0.526992
$231$	−19.4589	−	9.37093i	−0.00554244	−	0.00266910i
$232$	−877.964	−	3846.61i	−0.248453	−	1.08855i
$233$	−40.6849			−0.0114393			−0.00571965	−	0.999984i	$-0.501821\pi$
$233$	−40.6849			−0.0114393			−0.00571965	+	0.999984i	$0.501821\pi$
$234$	−1350.10	+	5915.19i	−0.377175	+	1.65251i
$235$	245.911	−	118.425i	0.0682616	−	0.0328731i
$236$	−2312.54	+	10131.9i	−0.637853	+	2.79462i
$237$	9.83901	−	4.73822i	0.00269668	−	0.00129865i
$238$	−54.5220	−	68.3685i	−0.0148493	−	0.0186205i
$239$	1026.69	+	494.426i	0.277870	+	0.133815i	0.567629	−	0.823285i	$-0.307861\pi$
$239$	1026.69	+	494.426i	0.277870	+	0.133815i	−0.289759	+	0.957100i	$0.593575\pi$
$240$	55.0505	−	26.5109i	0.0148062	−	0.00713030i
$241$	1210.91	−	5305.33i	0.323657	−	1.41803i	−0.507335	−	0.861749i	$-0.669369\pi$
$241$	1210.91	−	5305.33i	0.323657	−	1.41803i	0.830992	−	0.556285i	$-0.187774\pi$
$242$	507.711	−	2224.43i	0.134863	−	0.590874i
$243$	1913.83	−	2399.87i	0.505236	−	0.633546i
$244$	−1245.36	+	5456.28i	−0.326746	+	1.43157i
$245$	205.888	−	902.056i	0.0536887	−	0.235226i
$246$	−1453.41	−	1822.52i	−0.376691	−	0.472356i
$247$	−882.966	−	3868.53i	−0.227457	−	0.996552i
$248$	1072.49	+	4698.89i	0.274610	+	1.20315i
$249$	80.1878	+	38.6164i	0.0204084	+	0.00982817i
$250$	−1832.06	+	2297.33i	−0.463479	+	0.581184i
$251$	−291.240	−	365.203i	−0.0732386	−	0.0918383i	0.743863	−	0.668333i	$-0.232992\pi$
$251$	−291.240	−	365.203i	−0.0732386	−	0.0918383i	−0.817101	+	0.576494i	$0.804420\pi$
$252$	−125.434	−	60.4059i	−0.0313556	−	0.0151001i
$253$	−2714.69	+	3404.11i	−0.674589	+	0.845908i
$254$	9912.05	+	4773.39i	2.44857	+	1.17917i
$255$	111.754	−	140.135i	0.0274443	−	0.0344141i
$256$	2276.15	−	1096.14i	0.555701	−	0.267611i
$257$	5067.58	+	2440.42i	1.22999	+	0.592331i	0.932076	−	0.362262i	$-0.117996\pi$
$257$	5067.58	+	2440.42i	1.22999	+	0.592331i	0.297912	+	0.954593i	$0.403710\pi$
$258$	−1639.35	+	789.469i	−0.395587	+	0.190505i
$259$	117.035	−	146.757i	0.0280779	−	0.0352086i
$260$	402.892	+	1765.18i	0.0961010	+	0.421046i
$261$	4705.44	+	2266.02i	1.11594	+	0.537407i
$262$	5512.81	−	6912.84i	1.29993	−	1.63006i
$263$	−3320.81	+	1599.22i	−0.778592	+	0.374950i	−0.780586	−	0.625048i	$-0.785079\pi$
$263$	−3320.81	+	1599.22i	−0.778592	+	0.374950i	0.00199456	+	0.999998i	$0.499365\pi$
$264$	188.652	−	826.540i	0.0439801	−	0.192689i
$265$	−1778.64			−0.412305
$266$	151.171			0.0348454
$267$	−82.6297	−	103.614i	−0.0189395	−	0.0237494i
$268$	−6758.15	−	8474.45i	−1.54037	−	1.93156i
$269$	69.3860	−	33.4145i	0.0157269	−	0.00757368i	−0.426004	−	0.904721i	$-0.640079\pi$
$269$	69.3860	−	33.4145i	0.0157269	−	0.00757368i	0.441731	+	0.897148i	$0.354365\pi$
$270$	221.922	−	972.303i	0.0500212	−	0.219157i
$271$	293.301	+	1285.04i	0.0657445	+	0.288046i	0.997103	−	0.0760567i	$-0.0242330\pi$
$271$	293.301	+	1285.04i	0.0657445	+	0.288046i	−0.931359	+	0.364102i	$0.881376\pi$
$272$	−365.350	+	458.134i	−0.0814433	+	0.102127i
$273$	25.9983	−	32.6009i	0.00576370	−	0.00722745i
$274$	6095.39			1.34393
$275$	−751.120	−	3290.87i	−0.164706	−	0.721625i
$276$	1837.04	−	2303.57i	0.400640	−	0.502386i
$277$	2905.24	−	3643.05i	0.630177	−	0.790216i	−0.359560	−	0.933122i	$-0.617073\pi$
$277$	2905.24	−	3643.05i	0.630177	−	0.790216i	0.989736	+	0.142906i	$0.0456446\pi$
$278$	1455.44	−	6376.70i	0.313998	−	1.37572i
$279$	−5748.01	−	2768.10i	−1.23342	−	0.593984i
$280$	−23.4323			−0.00500125
$281$	2755.83			0.585049			0.292525	−	0.956258i	$-0.405505\pi$
$281$	2755.83			0.585049			0.292525	+	0.956258i	$0.405505\pi$
$282$	161.628	−	708.139i	0.0341305	−	0.149536i
$283$	−2982.81	+	3740.32i	−0.626535	+	0.785650i	−0.989248	−	0.146251i	$-0.953279\pi$
$283$	−2982.81	+	3740.32i	−0.626535	+	0.785650i	0.362712	+	0.931901i	$0.381851\pi$
$284$	−4799.71			−1.00285
$285$	68.9492	+	302.086i	0.0143305	+	0.0627861i
$286$	−6415.15	−	3089.37i	−1.32635	−	0.638735i
$287$	−33.9585	−	148.782i	−0.00698434	−	0.0306004i
$288$	−1147.63	+	5028.09i	−0.234808	+	1.02876i
$289$	710.745	−	3113.98i	0.144666	−	0.633824i
$290$	2587.60			0.523962
$291$	−119.816	−	524.947i	−0.0241365	−	0.105749i
$292$	1667.41	+	2090.86i	0.334170	+	0.419036i
$293$	−1733.47	−	7594.83i	−0.345633	−	1.51432i	−0.786979	−	0.616980i	$-0.788356\pi$
$293$	−1733.47	−	7594.83i	−0.345633	−	1.51432i	0.441346	−	0.897337i	$-0.354501\pi$
$294$	−1535.21	−	1925.09i	−0.304542	−	0.381883i
$295$	−2086.04	−	1004.58i	−0.411708	−	0.198268i
$296$	6638.60	+	3196.98i	1.30358	+	0.627773i
$297$	1472.83	+	1846.87i	0.287752	+	0.360830i
$298$	1543.81	+	6763.85i	0.300102	+	1.31483i
$299$	−5241.15	−	6572.19i	−1.01372	−	1.27117i
$300$	508.285	+	2226.94i	0.0978194	+	0.428575i
$301$	−119.119			−0.0228103
$302$	2869.56	−	12572.4i	0.546770	−	2.39556i
$303$	−673.531	+	2950.93i	−0.127701	+	0.559493i
$304$	−225.411	−	987.591i	−0.0425270	−	0.186323i
$305$	−1123.38	−	540.993i	−0.210901	−	0.101565i
$306$	1011.07	+	4429.78i	0.188885	+	0.827560i
$307$	1917.41			0.356457			0.178228	−	0.983989i	$-0.442963\pi$
$307$	1917.41			0.356457			0.178228	+	0.983989i	$0.442963\pi$
$308$	101.868	−	127.738i	0.0188456	−	0.0236316i
$309$	302.632	−	1325.92i	0.0557157	−	0.244106i
$310$	−3160.92			−0.579124
$311$	−1140.98			−0.208035			−0.104018	−	0.994575i	$-0.533170\pi$
$311$	−1140.98			−0.208035			−0.104018	+	0.994575i	$0.533170\pi$
$312$	1474.71	+	710.185i	0.267594	+	0.128866i
$313$	1733.77	−	7596.15i	0.313094	−	1.37176i	−0.536313	−	0.844019i	$-0.680183\pi$
$313$	1733.77	−	7596.15i	0.313094	−	1.37176i	0.849408	−	0.527737i	$-0.176959\pi$
$314$	−9409.12	+	11798.7i	−1.69104	+	2.12050i
$315$	19.3388	−	24.2501i	0.00345911	−	0.00433758i
$316$	18.3827	+	80.5400i	0.00327250	+	0.0143377i
$317$	7139.63			1.26499			0.632495	−	0.774564i	$-0.282031\pi$
$317$	7139.63			1.26499			0.632495	+	0.774564i	$0.282031\pi$
$318$	−2951.17	+	3700.65i	−0.520419	+	0.652585i
$319$	−3821.38	+	4791.86i	−0.670710	+	0.841044i
$320$	500.688	+	2193.66i	0.0874666	+	0.383216i
$321$	310.678	−	1361.17i	0.0540197	−	0.236676i
$322$	288.537	−	138.952i	0.0499365	−	0.0240481i
$323$	−1852.75	−	2323.27i	−0.319163	−	0.400217i
$324$	3987.08	+	4999.64i	0.683655	+	0.857276i
$325$	6516.96			1.11230
$326$	7852.66			1.33411
$327$	443.967	−	1945.14i	0.0750808	−	0.328950i
$328$	5397.21	−	2599.16i	0.908571	−	0.437545i
$329$	29.6479	−	37.1773i	0.00496821	−	0.00622994i
$330$	500.947	+	241.243i	0.0835643	+	0.0402425i
$331$	−750.524	−	3288.26i	−0.124630	−	0.546040i	−0.998234	−	0.0594025i	$-0.981080\pi$
$331$	−750.524	−	3288.26i	−0.124630	−	0.546040i	0.873604	−	0.486637i	$-0.161777\pi$
$332$	−419.783	+	526.391i	−0.0693933	+	0.0870165i
$333$	−8787.42	+	4231.80i	−1.44609	+	0.696400i
$334$	−7815.10	−	3763.55i	−1.28031	−	0.616564i
$335$	2175.72	−	1047.77i	0.354842	−	0.170883i
$336$	6.63707	−	8.32263i	0.00107763	−	0.00135130i
$337$	7751.51	+	3732.93i	1.25297	+	0.603400i	0.938307	−	0.345803i	$-0.112393\pi$
$337$	7751.51	+	3732.93i	1.25297	+	0.603400i	0.314665	+	0.949203i	$0.398108\pi$
$338$	2427.35	−	3043.80i	0.390622	−	0.489825i
$339$	−529.839	−	255.157i	−0.0848877	−	0.0408798i
$340$	845.395	+	1060.09i	0.134847	+	0.169093i
$341$	4668.08	−	5853.58i	0.741321	−	0.929587i
$342$	−7076.92	−	3408.06i	−1.11894	−	0.538851i
$343$	−71.7626	−	314.412i	−0.0112968	−	0.0494947i
$344$	−1040.48	−	4558.64i	−0.163078	−	0.714492i
$345$	409.272	+	513.211i	0.0638680	+	0.0800879i
$346$	−22.0941	+	96.8006i	−0.00343291	+	0.0150406i
$347$	−2306.65	+	10106.1i	−0.356852	+	1.56347i	0.404132	+	0.914701i	$0.367574\pi$
$347$	−2306.65	+	10106.1i	−0.356852	+	1.56347i	−0.760984	+	0.648770i	$0.775284\pi$
$348$	2585.94	−	3242.67i	0.398336	−	0.499498i
$349$	−2446.35	+	10718.2i	−0.375215	+	1.64393i	0.336665	+	0.941624i	$0.390701\pi$
$349$	−2446.35	+	10718.2i	−0.375215	+	1.64393i	−0.711880	+	0.702301i	$0.752156\pi$
$350$	−55.2473	+	242.054i	−0.00843740	+	0.0369667i
$351$	−4109.04	+	1978.81i	−0.624855	+	0.300914i
$352$	−5453.07	−	2626.06i	−0.825710	−	0.397641i
$353$	1065.96	+	1336.67i	0.160724	+	0.201541i	0.855672	−	0.517519i	$-0.173144\pi$
$353$	1065.96	+	1336.67i	0.160724	+	0.201541i	−0.694948	+	0.719060i	$0.744573\pi$
$354$	−5551.36	+	2673.39i	−0.833479	+	0.401382i
$355$	237.947	−	1042.51i	0.0355744	−	0.155862i
$356$	903.262	−	434.988i	0.134474	−	0.0647594i
$357$	6.94864	−	30.4440i	0.00103014	−	0.00451335i
$358$	13522.4			1.99632
$359$	1.71172	+	7.49954i	0.000251647	+	0.00110254i	0.975054	−	0.221970i	$-0.0712486\pi$
$359$	1.71172	+	7.49954i	0.000251647	+	0.00110254i	−0.974802	+	0.223072i	$0.928391\pi$
$360$	1096.96	+	528.270i	0.160597	+	0.0773396i
$361$	−1721.98			−0.251054
$362$	9451.96	+	11852.4i	1.37233	+	1.72085i
$363$	734.077	−	353.513i	0.106141	−	0.0511146i
$364$	196.672	+	246.619i	0.0283198	+	0.0355119i
$365$	−536.805	+	258.512i	−0.0769799	+	0.0370716i
$366$	−2989.55	+	1439.69i	−0.426957	+	0.205611i
$367$	2799.93	+	12267.3i	0.398243	+	1.74482i	0.634310	+	0.773078i	$0.281284\pi$
$367$	2799.93	+	12267.3i	0.398243	+	1.74482i	−0.236068	+	0.971737i	$0.575859\pi$
$368$	−1338.01	−	1677.81i	−0.189534	−	0.237668i
$369$	−1764.47	+	7730.66i	−0.248929	+	1.09063i
$370$	−3012.92	+	3778.08i	−0.423335	+	0.530846i
$371$	−279.186	+	134.449i	−0.0390690	+	0.0188146i
$372$	−3158.90	+	3961.13i	−0.440272	+	0.552084i
$373$	−3220.56	−	4038.45i	−0.447062	−	0.560598i	0.506327	−	0.862341i	$-0.331003\pi$
$373$	−3220.56	−	4038.45i	−0.447062	−	0.560598i	−0.953389	+	0.301744i	$0.902431\pi$
$374$	−5332.24			−0.737229
$375$	−1049.29			−0.144494
$376$	1681.73	+	809.879i	0.230661	+	0.111081i
$377$	−7377.81	−	9251.48i	−1.00790	−	1.26386i
$378$	−38.6630	−	169.394i	−0.00526088	−	0.0230494i
$379$	−180.284	−	789.877i	−0.0244343	−	0.107054i	0.961240	−	0.275712i	$-0.0889136\pi$
$379$	−180.284	−	789.877i	−0.0244343	−	0.107054i	−0.985675	+	0.168659i	$0.946056\pi$
$380$	−2343.99			−0.316432
$381$	874.200	+	3830.12i	0.117550	+	0.515021i
$382$	−7922.53	+	3815.29i	−1.06113	+	0.511013i
$383$	6652.24	−	3203.55i	0.887503	−	0.427399i	0.0661440	−	0.997810i	$-0.478930\pi$
$383$	6652.24	−	3203.55i	0.887503	−	0.427399i	0.821359	+	0.570411i	$0.193216\pi$
$384$	2958.34	+	1424.66i	0.393144	+	0.189328i
$385$	22.6950	+	28.4586i	0.00300427	+	0.00376724i
$386$	−1542.82	+	6759.54i	−0.203439	+	0.891326i
$387$	5576.44	+	2685.47i	0.732471	+	0.352740i
$388$	4073.25			0.532958
$389$	−1650.88	−	2070.14i	−0.215175	−	0.269821i	0.662516	−	0.749048i	$-0.269489\pi$
$389$	−1650.88	−	2070.14i	−0.215175	−	0.269821i	−0.877691	+	0.479227i	$0.840917\pi$
$390$	−669.296	+	839.270i	−0.0869003	+	0.108970i
$391$	−5671.79	−	2731.39i	−0.733593	−	0.353280i
$392$	5700.97	−	2745.44i	0.734548	−	0.353739i
$393$	3157.40			0.405267
$394$	6564.03	−	10521.7i	0.839317	−	1.34537i
$395$	−18.4049			−0.00234443
$396$	−7648.62	+	3683.38i	−0.970600	+	0.467416i
$397$	−6282.46	−	3025.47i	−0.794226	−	0.382479i	−0.00764831	−	0.999971i	$-0.502435\pi$
$397$	−6282.46	−	3025.47i	−0.794226	−	0.382479i	−0.786577	+	0.617492i	$0.788149\pi$
$398$	−7345.68	+	9211.19i	−0.925140	+	1.16009i
$399$	33.6576	+	42.2054i	0.00422303	+	0.00529551i
$400$	1663.71			0.207963
$401$	2211.72	+	1065.11i	0.275432	+	0.132641i	0.566501	−	0.824061i	$-0.308297\pi$
$401$	2211.72	+	1065.11i	0.275432	+	0.132641i	−0.291069	+	0.956702i	$0.594011\pi$
$402$	1430.02	−	6265.31i	0.177420	−	0.777326i
$403$	9012.48	+	11301.3i	1.11400	+	1.39692i
$404$	−20629.7	−	9934.75i	−2.54051	−	1.22345i
$405$	−1283.60	+	618.149i	−0.157488	+	0.0758421i
$406$	406.165	−	195.599i	0.0496494	−	0.0239099i
$407$	−2546.97	−	11159.0i	−0.310193	−	1.35904i
$408$	1225.78			0.148738
$409$	−1367.80	−	5992.70i	−0.165362	−	0.724499i	−0.987811	−	0.155659i	$-0.950250\pi$
$409$	−1367.80	−	5992.70i	−0.165362	−	0.724499i	0.822449	−	0.568839i	$-0.192607\pi$
$410$	874.221	+	3830.21i	0.105304	+	0.461368i
$411$	1357.12	+	1701.77i	0.162875	+	0.204239i
$412$	9269.40	+	4463.91i	1.10842	+	0.533789i
$413$	−403.374			−0.0480600
$414$	−16640.2			−1.97541
$415$	−93.5232	−	117.274i	−0.0110623	−	0.0138717i
$416$	7285.64	−	9135.90i	0.858673	−	1.07674i
$417$	2104.36	−	1013.41i	0.247125	−	0.119009i
$418$	5747.31	−	7206.90i	0.672512	−	0.843304i
$419$	−1276.13	+	5591.11i	−0.148790	+	0.651893i	0.844432	+	0.535663i	$0.179938\pi$
$419$	−1276.13	+	5591.11i	−0.148790	+	0.651893i	−0.993222	+	0.116230i	$0.962919\pi$
$420$	−15.3578	−	19.2580i	−0.00178424	−	0.00223737i
$421$	−35.2153	−	154.288i	−0.00407669	−	0.0178612i	0.972849	−	0.231442i	$-0.0743444\pi$
$421$	−35.2153	−	154.288i	−0.00407669	−	0.0178612i	−0.976925	+	0.213581i	$0.931487\pi$
$422$	11821.6	−	5692.99i	1.36367	−	0.656707i
$423$	−2226.08	+	1072.02i	−0.255877	+	0.123224i
$424$	−7583.94	−	9509.96i	−0.868652	−	1.08926i
$425$	4397.12	−	2117.54i	0.501862	−	0.241684i
$426$	−1774.25	−	2224.84i	−0.201791	−	0.253038i
$427$	−217.227			−0.0246191
$428$	9515.82	+	4582.58i	1.07468	+	0.517540i
$429$	−565.789	−	2478.88i	−0.0636749	−	0.278978i
$430$	3066.57			0.343915
$431$	1075.00	−	4709.88i	0.120141	−	0.526373i	−0.878661	−	0.477446i	$-0.841563\pi$
$431$	1075.00	−	4709.88i	0.120141	−	0.526373i	0.998802	−	0.0489273i	$-0.0155803\pi$
$432$	−1048.99	+	505.167i	−0.116828	+	0.0562613i
$433$	835.837	−	3662.04i	0.0927662	−	0.406435i	−0.907130	−	0.420851i	$-0.861732\pi$
$433$	835.837	−	3662.04i	0.0927662	−	0.406435i	0.999896	+	0.0144154i	$0.00458874\pi$
$434$	−496.158	+	238.937i	−0.0548763	+	0.0264271i
$435$	576.120	+	722.431i	0.0635008	+	0.0796274i
$436$	13598.4	+	6548.62i	1.49368	+	0.719317i
$437$	9804.95	−	4721.82i	1.07331	−	0.516877i
$438$	−352.821	+	1545.81i	−0.0384896	+	0.168634i
$439$	1967.92	−	8622.04i	0.213950	−	0.937375i	−0.747903	−	0.663808i	$-0.768939\pi$
$439$	1967.92	−	8622.04i	0.213950	−	0.937375i	0.961853	−	0.273567i	$-0.0882036\pi$
$440$	−890.866	+	1117.11i	−0.0965236	+	0.121037i
$441$	−1863.78	+	8165.76i	−0.201250	+	0.881736i
$442$	2290.80	−	10036.7i	0.246521	−	1.08008i
$443$	−2587.19	−	3244.24i	−0.277475	−	0.347942i	0.623493	−	0.781829i	$-0.285713\pi$
$443$	−2587.19	−	3244.24i	−0.277475	−	0.347942i	−0.900967	+	0.433887i	$0.857142\pi$
$444$	1723.54	+	7551.31i	0.184224	+	0.807138i
$445$	49.7015	+	217.756i	0.00529455	+	0.0231970i
$446$	−26357.1	−	12692.9i	−2.79831	−	1.34759i
$447$	−1544.68	+	1936.96i	−0.163447	+	0.204956i
$448$	244.411	+	306.482i	0.0257753	+	0.0323213i
$449$	−13916.1	−	6701.64i	−1.46268	−	0.704387i	−0.477931	−	0.878397i	$-0.658613\pi$
$449$	−13916.1	−	6701.64i	−1.46268	−	0.704387i	−0.984744	+	0.174010i	$0.944328\pi$
$450$	8043.33	−	10086.0i	0.842592	−	1.05658i
$451$	−8384.07	−	4037.55i	−0.875367	−	0.421554i
$452$	2773.71	−	3478.12i	0.288638	−	0.361941i
$453$	4148.97	−	1998.04i	0.430322	−	0.207232i
$454$	−13253.5	−	6382.57i	−1.37009	−	0.659799i
$455$	−63.3166	+	30.4917i	−0.00652379	+	0.00314169i
$456$	−1321.19	+	1656.72i	−0.135681	+	0.170138i
$457$	−1956.15	−	8570.44i	−0.200229	−	0.877261i	−0.970797	−	0.239903i	$-0.922884\pi$
$457$	−1956.15	−	8570.44i	−0.200229	−	0.877261i	0.770568	−	0.637358i	$-0.219973\pi$
$458$	−12682.9	−	6107.76i	−1.29396	−	0.623137i
$459$	−2129.48	+	2670.28i	−0.216548	+	0.271542i
$460$	−4473.94	+	2154.53i	−0.453475	+	0.218382i
$461$	1153.12	−	5052.13i	0.116499	−	0.510415i	−0.882683	−	0.469969i	$-0.844265\pi$
$461$	1153.12	−	5052.13i	0.116499	−	0.510415i	0.999182	−	0.0404458i	$-0.0128778\pi$
$462$	96.8675			0.00975473
$463$	5247.45			0.526716			0.263358	−	0.964698i	$-0.415170\pi$
$463$	5247.45			0.526716			0.263358	+	0.964698i	$0.415170\pi$
$464$	−1883.47	−	2361.80i	−0.188444	−	0.236301i
$465$	−703.769	−	882.498i	−0.0701860	−	0.0880105i
$466$	164.404	−	79.1727i	0.0163431	−	0.00787040i
$467$	−2102.76	+	9212.79i	−0.208360	+	0.912884i	0.757298	+	0.653069i	$0.226519\pi$
$467$	−2102.76	+	9212.79i	−0.208360	+	0.912884i	−0.965658	+	0.259815i	$0.916338\pi$
$468$	−3647.13	−	15979.1i	−0.360232	−	1.57828i
$469$	262.312	−	328.929i	0.0258261	−	0.0323849i
$470$	−763.250	+	957.085i	−0.0749066	+	0.0939299i
$471$	−5388.98			−0.527200
$472$	−3523.40	−	15437.0i	−0.343596	−	1.50539i
$473$	−4528.74	+	5678.86i	−0.440236	+	0.552039i
$474$	−30.5379	+	38.2934i	−0.00295919	+	0.00371070i
$475$	−1877.39	+	8225.38i	−0.181349	+	0.794540i
$476$	212.832	+	102.494i	0.0204940	+	0.00986937i
$477$	16100.9			1.54551
$478$	−5110.90			−0.489052
$479$	1136.70	−	4980.22i	0.108429	−	0.475056i	−0.891336	−	0.453344i	$-0.850231\pi$
$479$	1136.70	−	4980.22i	0.108429	−	0.475056i	0.999764	−	0.0217126i	$-0.00691188\pi$
$480$	−568.922	+	713.406i	−0.0540992	+	0.0678383i
$481$	22098.3			2.09479
$482$	5430.99	+	23794.7i	0.513226	+	2.24859i
$483$	103.036	+	49.6194i	0.00970661	+	0.00467446i
$484$	1371.51	+	6008.99i	0.128805	+	0.564331i
$485$	−201.932	+	884.723i	−0.0189057	+	0.0828314i
$486$	−3063.47	+	13422.0i	−0.285930	+	1.25274i
$487$	−12815.1			−1.19242			−0.596211	−	0.802828i	$-0.703328\pi$
$487$	−12815.1			−1.19242			−0.596211	+	0.802828i	$0.703328\pi$
$488$	−1897.44	−	8313.21i	−0.176010	−	0.771151i
$489$	1748.37	+	2192.38i	0.161685	+	0.202747i
$490$	923.424	+	4045.78i	0.0851347	+	0.373000i
$491$	−1435.09	−	1799.55i	−0.131904	−	0.165402i	0.711493	−	0.702693i	$-0.248019\pi$
$491$	−1435.09	−	1799.55i	−0.131904	−	0.165402i	−0.843397	+	0.537291i	$0.819448\pi$
$492$	5673.52	+	2732.22i	0.519882	+	0.250362i
$493$	−7984.01	−	3844.90i	−0.729375	−	0.351248i
$494$	11096.1	+	13914.1i	1.01060	+	1.26726i
$495$	−420.861	−	1843.91i	−0.0382147	−	0.167430i
$496$	2300.79	+	2885.09i	0.208283	+	0.261178i
$497$	−41.4549	−	181.626i	−0.00374146	−	0.0163924i
$498$	−399.178			−0.0359189
$499$	−3681.65	+	16130.4i	−0.330287	+	1.44708i	0.488287	+	0.872683i	$0.337622\pi$
$499$	−3681.65	+	16130.4i	−0.330287	+	1.44708i	−0.818574	+	0.574400i	$0.805235\pi$
$500$	1766.30	−	7738.69i	0.157983	−	0.692169i
$501$	−689.259	−	3019.84i	−0.0614647	−	0.269294i
$502$	1887.56	+	909.000i	0.167820	+	0.0808180i
$503$	1708.38	+	7484.88i	0.151437	+	0.663488i	0.992468	+	0.122502i	$0.0390917\pi$
$503$	1708.38	+	7484.88i	0.151437	+	0.663488i	−0.841032	+	0.540986i	$0.818051\pi$
$504$	212.118			0.0187470
$505$	3180.59	−	3988.33i	0.280266	−	0.351442i
$506$	4345.41	−	19038.5i	0.381772	−	1.67265i
$507$	1390.24			0.121780
$508$	−29719.2			−2.59562
$509$	18663.1	+	8987.66i	1.62520	+	0.782655i	0.999998	+	0.00219094i	$0.000697397\pi$
$509$	18663.1	+	8987.66i	1.62520	+	0.782655i	0.625201	+	0.780464i	$0.285017\pi$
$510$	−178.885	+	783.745i	−0.0155317	+	0.0680486i
$511$	−64.7190	+	81.1551i	−0.00560274	+	0.00702562i
$512$	3161.29	−	3964.13i	0.272872	−	0.342171i
$513$	−1313.83	−	5756.27i	−0.113074	−	0.495411i
$514$	−25226.7			−2.16479
$515$	−1429.11	+	1792.05i	−0.122280	+	0.153334i
$516$	3064.61	−	3842.90i	0.261457	−	0.327857i
$517$	−645.213	−	2826.86i	−0.0548867	−	0.240474i
$518$	−187.337	+	820.779i	−0.0158902	+	0.0696196i
$519$	−31.9449	+	15.3839i	−0.00270179	+	0.00130111i
$520$	−1719.96	−	2156.76i	−0.145049	−	0.181885i
$521$	−7480.73	−	9380.54i	−0.629053	−	0.788808i	0.360533	−	0.932746i	$-0.382595\pi$
$521$	−7480.73	−	9380.54i	−0.629053	−	0.788808i	−0.989587	+	0.143938i	$0.954023\pi$
$522$	−23423.9			−1.96406
$523$	845.508			0.0706912			0.0353456	−	0.999375i	$-0.488747\pi$
$523$	845.508			0.0706912			0.0353456	+	0.999375i	$0.488747\pi$
$524$	−5314.94	+	23286.3i	−0.443100	+	1.94135i
$525$	−79.8797	+	38.4680i	−0.00664045	+	0.00319787i
$526$	10307.0	−	12924.6i	0.854384	−	1.07136i
$527$	9753.00	+	4696.80i	0.806162	+	0.388227i
$528$	−144.439	−	632.830i	−0.0119051	−	0.0521599i
$529$	6788.38	−	8512.36i	0.557934	−	0.699627i
$530$	7187.31	−	3461.22i	0.589050	−	0.283672i
$531$	18883.6	+	9093.86i	1.54327	+	0.743202i
$532$	−367.927	+	177.184i	−0.0299843	+	0.0144397i
$533$	11201.6	−	14046.4i	0.910312	−	1.14150i
$534$	535.532	+	257.899i	0.0433984	+	0.0208996i
$535$	−1467.10	+	1839.69i	−0.118558	+	0.148667i
$536$	14879.2	+	7165.46i	1.19904	+	0.577427i
$537$	3010.72	+	3775.33i	0.241941	+	0.303384i
$538$	−215.358	+	270.050i	−0.0172579	+	0.0216407i
$539$	−8855.93	−	4264.79i	−0.707703	−	0.340812i
$540$	599.493	+	2626.55i	0.0477742	+	0.209312i
$541$	4808.97	+	21069.5i	0.382169	+	1.67439i	0.690671	+	0.723169i	$0.257315\pi$
$541$	4808.97	+	21069.5i	0.382169	+	1.67439i	−0.308502	+	0.951224i	$0.599828\pi$
$542$	−3685.88	−	4621.94i	−0.292107	−	0.366290i
$543$	−1204.62	+	5277.78i	−0.0952029	+	0.417111i
$544$	1947.25	−	8531.47i	0.153470	−	0.672397i
$545$	−2096.53	+	2628.96i	−0.164780	+	0.206628i
$546$	−41.6155	+	182.330i	−0.00326187	+	0.0142912i
$547$	−1978.39	+	8667.87i	−0.154643	+	0.677535i	0.836856	+	0.547423i	$0.184391\pi$
$547$	−1978.39	+	8667.87i	−0.154643	+	0.677535i	−0.991499	+	0.130112i	$0.958466\pi$
$548$	−14835.3	+	7144.29i	−1.15644	+	0.556914i
$549$	10169.3	+	4897.27i	0.790556	+	0.380711i
$550$	9439.23	+	11836.4i	0.731800	+	0.917649i
$551$	13802.1	−	6646.76i	1.06713	−	0.513905i
$552$	−998.922	+	4376.56i	−0.0770234	+	0.337462i
$553$	−2.88894	+	1.39124i	−0.000222153	+	0.000106983i
$554$	−4650.42	+	20374.8i	−0.356638	+	1.56253i
$555$	−1725.62			−0.131979
$556$	3931.68	+	17225.8i	0.299893	+	1.31392i
$557$	−20217.1	−	9736.05i	−1.53793	−	0.740628i	−0.542861	−	0.839822i	$-0.682659\pi$
$557$	−20217.1	−	9736.05i	−1.53793	−	0.740628i	−0.995068	+	0.0991948i	$0.968373\pi$
$558$	28613.9			2.17083
$559$	−8743.48	−	10964.0i	−0.661556	−	0.829565i
$560$	−16.1640	+	7.78417i	−0.00121974	+	0.000587395i
$561$	−1187.21	−	1488.71i	−0.0893473	−	0.112038i
$562$	−11136.0	+	5362.83i	−0.835846	+	0.402522i
$563$	19323.3	−	9305.62i	1.44650	−	0.696599i	0.464519	−	0.885563i	$-0.346227\pi$
$563$	19323.3	−	9305.62i	1.44650	−	0.696599i	0.981984	+	0.188964i	$0.0605130\pi$
$564$	436.617	+	1912.94i	0.0325973	+	0.142818i
$565$	617.953	+	774.889i	0.0460132	+	0.0576988i
$566$	4774.58	−	20918.8i	0.354577	−	1.55350i
$567$	−154.755	+	194.057i	−0.0114623	+	0.0143732i
$568$	6588.66	−	3172.93i	0.486715	−	0.234389i
$569$	2206.81	−	2767.26i	0.162591	−	0.203883i	−0.693861	−	0.720109i	$-0.744092\pi$
$569$	2206.81	−	2767.26i	0.162591	−	0.203883i	0.856453	+	0.516226i	$0.172663\pi$
$570$	−866.476	−	1086.53i	−0.0636714	−	0.0798414i
$571$	24717.6			1.81156			0.905779	−	0.423751i	$-0.139287\pi$
$571$	24717.6			1.81156			0.905779	+	0.423751i	$0.139287\pi$
$572$	19234.5			1.40600
$573$	−2829.11	−	1362.43i	−0.206262	−	0.0993304i
$574$	426.752	+	535.130i	0.0310319	+	0.0389127i
$575$	3977.21	+	17425.3i	0.288454	+	1.26380i
$576$	−4532.42	−	19857.8i	−0.327866	−	1.43647i
$577$	−9536.44			−0.688054			−0.344027	−	0.938960i	$-0.611791\pi$
$577$	−9536.44			−0.688054			−0.344027	+	0.938960i	$0.611791\pi$
$578$	3187.74	+	13966.4i	0.229399	+	1.00506i
$579$	−2230.70	+	1074.25i	−0.160112	+	0.0771058i
$580$	−6297.83	+	3032.87i	−0.450867	+	0.217126i
$581$	−23.5448	−	11.3386i	−0.00168125	−	0.000809646i
$582$	1505.71	+	1888.10i	0.107240	+	0.134475i
$583$	−4204.57	+	18421.4i	−0.298689	+	1.30864i
$584$	−3671.09	−	1767.90i	−0.260121	−	0.125268i
$585$	3651.53			0.258072
$586$	21784.3	+	27316.7i	1.53567	+	1.92567i
$587$	−10695.2	+	13411.3i	−0.752023	+	0.943007i	−0.999666	−	0.0258440i	$-0.991773\pi$
$587$	−10695.2	+	13411.3i	−0.752023	+	0.943007i	0.247643	+	0.968851i	$0.420344\pi$
$588$	5992.83	+	2886.00i	0.420306	+	0.202409i
$589$	−16860.2	+	8119.46i	−1.17948	+	0.568008i
$590$	10384.4			0.724608
$591$	4399.01	−	510.014i	0.306178	−	0.0354977i
$592$	5641.45			0.391659
$593$	7133.82	−	3435.47i	0.494015	−	0.237905i	−0.170252	−	0.985401i	$-0.554458\pi$
$593$	7133.82	−	3435.47i	0.494015	−	0.237905i	0.664267	+	0.747495i	$0.268744\pi$
$594$	−9545.58	−	4596.91i	−0.659360	−	0.317531i
$595$	−32.8133	+	41.1466i	−0.00226087	+	0.00283504i
$596$	−11685.2	−	14652.7i	−0.803093	−	1.00705i
$597$	−4207.16			−0.288422
$598$	33968.5	+	16358.3i	2.32287	+	1.11863i
$599$	1022.12	−	4478.21i	0.0697208	−	0.305467i	−0.928029	−	0.372507i	$-0.878498\pi$
$599$	1022.12	−	4478.21i	0.0697208	−	0.305467i	0.997750	+	0.0670399i	$0.0213555\pi$
$600$	−2169.89	−	2720.96i	−0.147642	−	0.185138i
$601$	10909.6	+	5253.81i	0.740455	+	0.356585i	0.765787	−	0.643095i	$-0.222350\pi$
$601$	10909.6	+	5253.81i	0.740455	+	0.356585i	−0.0253314	+	0.999679i	$0.508064\pi$
$602$	481.348	−	231.805i	0.0325885	−	0.0156938i
$603$	−19695.4	+	9484.81i	−1.33011	+	0.640550i
$604$	7751.74	+	33962.6i	0.522208	+	2.28794i
$605$	−1373.17			−0.0922764
$606$	−3020.83	−	13235.1i	−0.202496	−	0.887195i
$607$	−3601.48	−	15779.1i	−0.240823	−	1.05511i	−0.940270	−	0.340429i	$-0.889428\pi$
$607$	−3601.48	−	15779.1i	−0.240823	−	1.05511i	0.699447	−	0.714684i	$-0.253430\pi$
$608$	9432.05	+	11827.4i	0.629145	+	0.788923i
$609$	145.040	+	69.8478i	0.00965080	+	0.00464758i
$610$	5592.26			0.371187
$611$	5598.08			0.370661
$612$	−7652.84	−	9596.36i	−0.505470	−	0.633839i
$613$	−13628.0	+	17089.0i	−0.897929	+	1.12597i	0.0935390	+	0.995616i	$0.470182\pi$
$613$	−13628.0	+	17089.0i	−0.897929	+	1.12597i	−0.991468	+	0.130351i	$0.958389\pi$
$614$	−7748.06	+	3731.27i	−0.509261	+	0.245247i
$615$	−874.715	+	1096.86i	−0.0573527	+	0.0719180i
$616$	−55.3924	+	242.690i	−0.00362309	+	0.0158738i
$617$	−1821.74	−	2284.38i	−0.118866	−	0.149053i	0.718838	−	0.695177i	$-0.244674\pi$
$617$	−1821.74	−	2284.38i	−0.118866	−	0.149053i	−0.837704	+	0.546124i	$0.816103\pi$
$618$	1357.33	+	5946.83i	0.0883489	+	0.387082i
$619$	249.950	−	120.370i	0.0162299	−	0.00781593i	−0.425751	−	0.904840i	$-0.639990\pi$
$619$	249.950	−	120.370i	0.0162299	−	0.00781593i	0.441981	+	0.897024i	$0.354276\pi$
$620$	7693.21	−	3704.86i	0.498334	−	0.239985i
$621$	−7798.70	−	9779.26i	−0.503947	−	0.631930i
$622$	4610.58	−	2220.34i	0.297215	−	0.143131i
$623$	24.2618	+	30.4234i	0.00156024	+	0.00195648i
$624$	1253.20			0.0803979
$625$	−11663.8	−	5616.97i	−0.746481	−	0.359486i
$626$	7776.08	+	34069.2i	0.496477	+	2.17521i
$627$	3291.71			0.209662
$628$	9071.41	−	39744.4i	0.576415	−	2.52544i
$629$	14910.2	−	7180.35i	0.945162	−	0.455166i
$630$	−30.9557	+	135.626i	−0.00195762	+	0.00857691i
$631$	−25126.5	+	12100.3i	−1.58521	+	0.763398i	−0.998909	−	0.0466927i	$-0.985132\pi$
$631$	−25126.5	+	12100.3i	−1.58521	+	0.763398i	−0.586304	+	0.810091i	$0.699418\pi$
$632$	−78.4767	−	98.4067i	−0.00493930	−	0.00619368i
$633$	4221.47	+	2032.95i	0.265068	+	0.127650i
$634$	−28850.6	+	13893.7i	−1.80726	+	0.870331i
$635$	1473.34	−	6455.12i	0.0920751	−	0.403407i
$636$	2845.24	−	12465.8i	0.177392	−	0.777205i
$637$	11832.1	−	14836.9i	0.735955	−	0.922859i
$638$	6116.90	−	26799.9i	0.379577	−	1.66304i
$639$	−2153.98	+	9437.22i	−0.133349	+	0.584242i
$640$	−3450.32	−	4326.57i	−0.213103	−	0.267223i
$641$	630.503	+	2762.41i	0.0388508	+	0.170217i	0.990631	−	0.136563i	$-0.0436057\pi$
$641$	630.503	+	2762.41i	0.0388508	+	0.170217i	−0.951781	+	0.306780i	$0.900749\pi$
$642$	1393.41	+	6104.93i	0.0856596	+	0.375299i
$643$	−14361.2	−	6916.01i	−0.880797	−	0.424169i	−0.0618812	−	0.998084i	$-0.519710\pi$
$643$	−14361.2	−	6916.01i	−0.880797	−	0.424169i	−0.818915	+	0.573914i	$0.805424\pi$
$644$	−539.393	+	676.377i	−0.0330048	+	0.0413866i
$645$	682.762	+	856.157i	0.0416802	+	0.0522653i
$646$	12007.8	+	5782.67i	0.731335	+	0.352192i
$647$	2360.11	−	2959.49i	0.143409	−	0.179829i	−0.704939	−	0.709267i	$-0.749026\pi$
$647$	2360.11	−	2959.49i	0.143409	−	0.179829i	0.848348	+	0.529438i	$0.177597\pi$
$648$	−8778.24	−	4227.38i	−0.532163	−	0.256276i
$649$	−15335.8	+	19230.4i	−0.927552	+	1.16311i
$650$	−26334.4	+	12682.0i	−1.58911	+	0.765275i
$651$	−177.177	−	85.3238i	−0.0106668	−	0.00513687i
$652$	−19112.2	+	9203.95i	−1.14799	+	0.552844i
$653$	−2032.09	+	2548.16i	−0.121779	+	0.152707i	−0.838984	−	0.544156i	$-0.816850\pi$
$653$	−2032.09	+	2548.16i	−0.121779	+	0.152707i	0.717205	+	0.696863i	$0.245421\pi$
$654$	1991.22	+	8724.10i	0.119056	+	0.521620i
$655$	−4794.37	−	2308.85i	−0.286002	−	0.137731i
$656$	2859.65	−	3585.88i	0.170199	−	0.213423i
$657$	4859.36	−	2340.14i	0.288557	−	0.138962i
$658$	−47.4575	+	207.925i	−0.00281168	+	0.0123188i
$659$	20872.5			1.23380			0.616901	−	0.787041i	$-0.288388\pi$
$659$	20872.5			1.23380			0.616901	+	0.787041i	$0.288388\pi$
$660$	−1501.99			−0.0885830
$661$	9685.49	+	12145.2i	0.569927	+	0.714666i	0.980358	−	0.197225i	$-0.0631931\pi$
$661$	9685.49	+	12145.2i	0.569927	+	0.714666i	−0.410431	+	0.911892i	$0.634622\pi$
$662$	9431.75	+	11827.0i	0.553739	+	0.694367i
$663$	3312.17	−	1595.06i	0.194018	−	0.0934343i
$664$	228.265	−	1000.09i	0.0133410	−	0.0584505i
$665$	−20.2450	−	88.6990i	−0.00118055	−	0.00517233i
$666$	27274.1	−	34200.6i	1.58686	−	1.98986i
$667$	20234.4	−	25373.1i	1.17463	−	1.47294i
$668$	23432.0			1.35720
$669$	−2324.58	−	10184.7i	−0.134340	−	0.588583i
$670$	−6752.91	+	8467.88i	−0.389384	+	0.488273i
$671$	−8258.69	+	10356.1i	−0.475146	+	0.595815i
$672$	−35.3745	+	154.986i	−0.00203066	+	0.00889689i
$673$	15337.6	+	7386.22i	0.878488	+	0.423058i	0.818072	−	0.575116i	$-0.195043\pi$
$673$	15337.6	+	7386.22i	0.878488	+	0.423058i	0.0604160	+	0.998173i	$0.480757\pi$
$674$	−38587.4			−2.20524
$675$	9697.08			0.552949
$676$	−2340.23	+	10253.2i	−0.133149	+	0.583363i
$677$	−13957.5	+	17502.2i	−0.792366	+	0.993595i	0.207516	+	0.978232i	$0.433462\pi$
$677$	−13957.5	+	17502.2i	−0.792366	+	0.993595i	−0.999882	+	0.0153638i	$0.995109\pi$
$678$	2637.57			0.149403
$679$	35.1805	+	154.136i	0.00198837	+	0.00871162i
$680$	−1861.28	−	896.347i	−0.104966	−	0.0505490i
$681$	−1168.91	−	5121.31i	−0.0657747	−	0.288178i
$682$	−7472.20	+	32737.8i	−0.419538	+	1.83812i
$683$	−465.570	+	2039.80i	−0.0260828	+	0.114276i	−0.986294	−	0.165000i	$-0.947237\pi$
$683$	−465.570	+	2039.80i	−0.0260828	+	0.114276i	0.960211	+	0.279277i	$0.0900946\pi$
$684$	21218.7			1.18614
$685$	−816.302	−	3576.45i	−0.0455318	−	0.199488i
$686$	901.832	+	1130.86i	0.0501926	+	0.0629395i
$687$	−1118.58	−	4900.81i	−0.0621199	−	0.272165i
$688$	−2232.11	−	2798.98i	−0.123690	−	0.155102i
$689$	−32867.5	−	15828.2i	−1.81735	−	0.875189i
$690$	−2652.54	−	1277.39i	−0.146348	−	0.0704776i
$691$	−13746.9	−	17238.0i	−0.756809	−	0.949009i	0.242970	−	0.970034i	$-0.421878\pi$
$691$	−13746.9	−	17238.0i	−0.756809	−	0.949009i	−0.999779	+	0.0210252i	$0.993307\pi$
$692$	−59.6844	−	261.494i	−0.00327870	−	0.0143649i
$693$	−205.444	−	257.618i	−0.0112614	−	0.0141214i
$694$	−10345.5	−	45326.6i	−0.565864	−	2.47921i
$695$	−3936.42			−0.214845
$696$	−1406.15	+	6160.76i	−0.0765806	+	0.335521i
$697$	2993.89	−	13117.1i	0.162700	−	0.712834i
$698$	−10972.0	−	48071.7i	−0.594983	−	2.60679i
$699$	58.7082	+	28.2724i	0.00317675	+	0.00152984i
$700$	−149.243	−	653.877i	−0.00805838	−	0.0353061i
$701$	20063.4			1.08100			0.540501	−	0.841343i	$-0.318235\pi$
$701$	20063.4			1.08100			0.540501	+	0.841343i	$0.318235\pi$
$702$	12753.5	−	15992.4i	0.685682	−	0.859818i
$703$	−6366.02	+	27891.4i	−0.341535	+	1.49636i
$704$	23903.4			1.27968
$705$	−437.144			−0.0233529
$706$	−6908.61	−	3327.01i	−0.368285	−	0.177357i
$707$	197.763	−	866.456i	0.0105200	−	0.0460911i
$708$	10377.7	−	13013.3i	0.550875	−	0.690775i
$709$	8075.45	−	10126.3i	0.427757	−	0.536391i	−0.520513	−	0.853854i	$-0.674259\pi$
$709$	8075.45	−	10126.3i	0.427757	−	0.536391i	0.948271	+	0.317463i	$0.102831\pi$
$710$	1067.21	+	4675.74i	0.0564107	+	0.247151i
$711$	166.608			0.00878803
$712$	−952.371	+	1194.23i	−0.0501286	+	0.0628593i
$713$	−24717.7	+	30995.0i	−1.29829	+	1.62801i
$714$	31.1651	+	136.543i	0.00163351	+	0.00715687i
$715$	−953.555	+	4177.80i	−0.0498755	+	0.218519i
$716$	−32911.6	+	15849.4i	−1.71783	+	0.827261i
$717$	−1137.92	−	1426.91i	−0.0592699	−	0.0743221i
$718$	−21.5110	−	26.9739i	−0.00111808	−	0.00140203i
$719$	−31485.7			−1.63313			−0.816563	−	0.577256i	$-0.804123\pi$
$719$	−31485.7			−1.63313			−0.816563	+	0.577256i	$0.804123\pi$
$720$	932.193			0.0482511
$721$	−88.8593	+	389.318i	−0.00458987	+	0.0201095i
$722$	6958.35	−	3350.96i	0.358674	−	0.172728i
$723$	−5434.06	+	6814.10i	−0.279523	+	0.350510i
$724$	−36896.6	−	17768.5i	−1.89399	−	0.912099i
$725$	5598.60	+	24529.1i	0.286796	+	1.25653i
$726$	−2278.40	+	2857.02i	−0.116473	+	0.146052i
$727$	−26037.8	+	12539.1i	−1.32832	+	0.639685i	−0.957342	−	0.288956i	$-0.906692\pi$
$727$	−26037.8	+	12539.1i	−1.32832	+	0.639685i	−0.370978	+	0.928642i	$0.620977\pi$
$728$	−433.008	−	208.525i	−0.0220444	−	0.0106160i
$729$	8410.09	−	4050.09i	0.427277	−	0.205766i
$730$	1666.11	−	2089.24i	0.0844735	−	0.105926i
$731$	−9461.89	−	4556.61i	−0.478742	−	0.230550i
$732$	5588.67	−	7007.98i	0.282190	−	0.353856i
$733$	−5137.38	−	2474.03i	−0.258872	−	0.124666i	0.299947	−	0.953956i	$-0.403031\pi$
$733$	−5137.38	−	2474.03i	−0.258872	−	0.124666i	−0.558819	+	0.829290i	$0.688745\pi$
$734$	−35186.3	−	44122.3i	−1.76942	−	2.21878i
$735$	−923.945	+	1158.59i	−0.0463676	+	0.0581432i
$736$	28874.3	+	13905.1i	1.44609	+	0.696398i
$737$	−5708.56	−	25010.9i	−0.285316	−	1.25005i
$738$	−7913.78	−	34672.5i	−0.394729	−	1.72942i
$739$	1920.40	+	2408.10i	0.0955927	+	0.119869i	0.827327	−	0.561720i	$-0.189860\pi$
$739$	1920.40	+	2408.10i	0.0955927	+	0.119869i	−0.731734	+	0.681590i	$0.761289\pi$
$740$	2904.78	−	12726.7i	0.144300	−	0.632218i
$741$	−1414.16	+	6195.85i	−0.0701087	+	0.307166i
$742$	866.526	−	1086.59i	0.0428722	−	0.0537600i
$743$	413.550	−	1811.88i	0.0204195	−	0.0894635i	−0.963691	−	0.267018i	$-0.913962\pi$
$743$	413.550	−	1811.88i	0.0204195	−	0.0894635i	0.984111	+	0.177555i	$0.0568187\pi$
$744$	1717.71	−	7525.77i	0.0846428	−	0.370844i
$745$	3761.92	−	1811.65i	0.185002	−	0.0890921i
$746$	20872.8	+	10051.8i	1.02441	+	0.493328i
$747$	846.607	+	1061.61i	0.0414669	+	0.0519978i
$748$	12977.9	−	6249.82i	0.634383	−	0.305503i
$749$	−91.2216	+	399.668i	−0.00445015	+	0.0194974i
$750$	4240.10	−	2041.92i	0.206435	−	0.0994140i
$751$	7623.30	−	33399.9i	0.370411	−	1.62287i	−0.355215	−	0.934785i	$-0.615592\pi$
$751$	7623.30	−	33399.9i	0.370411	−	1.62287i	0.725625	−	0.688090i	$-0.241551\pi$
$752$	1429.13			0.0693016
$753$	166.475	+	729.373i	0.00805667	+	0.0352986i
$754$	47816.4	+	23027.2i	2.30951	+	1.11220i
$755$	−7761.09			−0.374112
$756$	292.643	+	366.963i	0.0140785	+	0.0176539i
$757$	−10712.7	+	5158.98i	−0.514347	+	0.247696i	−0.673006	−	0.739637i	$-0.734997\pi$
$757$	−10712.7	+	5158.98i	−0.514347	+	0.247696i	0.158659	+	0.987333i	$0.449283\pi$
$758$	2265.61	+	2840.99i	0.108563	+	0.136134i
$759$	6282.84	−	3025.65i	0.300464	−	0.144696i
$760$	3217.64	−	1549.54i	0.153574	−	0.0739573i
$761$	−2875.64	−	12599.0i	−0.136980	−	0.600150i	−0.996089	−	0.0883566i	$-0.971839\pi$
$761$	−2875.64	−	12599.0i	−0.136980	−	0.600150i	0.859109	−	0.511793i	$-0.171019\pi$
$762$	−10986.0	−	13776.0i	−0.522283	−	0.654922i
$763$	−130.358	+	571.136i	−0.00618516	+	0.0270990i
$764$	14810.4	−	18571.7i	0.701338	−	0.879450i
$765$	2463.75	−	1186.48i	0.116441	−	0.0560749i
$766$	−20647.0	+	25890.5i	−0.973898	+	1.22123i
$767$	−29608.2	−	37127.5i	−1.39386	−	1.74784i
$768$	−4046.19			−0.190110
$769$	16429.7			0.770445			0.385222	−	0.922824i	$-0.374125\pi$
$769$	16429.7			0.770445			0.385222	+	0.922824i	$0.374125\pi$
$770$	−147.089	−	70.8342i	−0.00688404	−	0.00331518i
$771$	−5616.63	−	7043.03i	−0.262358	−	0.328986i
$772$	−4167.73	−	18260.0i	−0.194300	−	0.851286i
$773$	−4844.88	−	21226.8i	−0.225431	−	0.987679i	−0.953315	−	0.301978i	$-0.902353\pi$
$773$	−4844.88	−	21226.8i	−0.225431	−	0.987679i	0.727884	−	0.685701i	$-0.240504\pi$
$774$	−27759.8			−1.28915
$775$	−6839.06	−	29963.9i	−0.316989	−	1.38882i
$776$	−5591.43	+	2692.69i	−0.258661	+	0.124564i
$777$	−270.863	+	130.441i	−0.0125060	+	0.00602257i
$778$	10699.6	+	5152.63i	0.493056	+	0.237443i
$779$	14501.7	+	18184.6i	0.666981	+	0.836367i
$780$	645.273	−	2827.13i	0.0296211	−	0.129779i
$781$	−10234.9	−	4928.85i	−0.468927	−	0.225824i
$782$	28234.5			1.29113
$783$	−10978.0	−	13766.0i	−0.501049	−	0.628296i
$784$	3020.59	−	3787.70i	0.137600	−	0.172545i
$785$	8182.91	+	3940.68i	0.372052	+	0.179171i
$786$	−12758.8	+	6144.30i	−0.578995	+	0.278829i
$787$	−16877.4			−0.764439			−0.382220	−	0.924072i	$-0.624840\pi$
$787$	−16877.4			−0.764439			−0.382220	+	0.924072i	$0.624840\pi$
$788$	−3643.56	+	33301.8i	−0.164716	+	1.50549i
$789$	5903.22			0.266363
$790$	74.3724	−	35.8159i	0.00334943	−	0.00161300i
$791$	155.572	+	74.9196i	0.00699306	+	0.00336768i
$792$	8064.46	−	10112.5i	0.361816	−	0.453702i
$793$	−15944.8	−	19994.1i	−0.714016	−	0.895348i
$794$	31274.4			1.39784
$795$	2566.57	+	1235.99i	0.114499	+	0.0551398i
$796$	7082.03	−	31028.4i	0.315346	−	1.38162i
$797$	7763.73	+	9735.41i	0.345051	+	0.432680i	0.923829	−	0.382805i	$-0.125042\pi$
$797$	7763.73	+	9735.41i	0.345051	+	0.432680i	−0.578778	+	0.815485i	$0.696470\pi$
$798$	−218.139	−	105.050i	−0.00967673	−	0.00466007i
$799$	3777.13	−	1818.97i	0.167241	−	0.0805388i
$800$	−22385.1	+	10780.1i	−0.989290	+	0.476417i
$801$	−449.917	−	1971.21i	−0.0198465	−	0.0869531i
$802$	−11010.1			−0.484762
$803$	1408.45	+	6170.82i	0.0618967	+	0.271187i
$804$	3863.00	+	16924.9i	0.169450	+	0.742407i
$805$	−120.171	−	150.690i	−0.00526145	−	0.00659766i
$806$	−58410.9	−	28129.2i	−2.55265	−	1.22929i
$807$	−123.344			−0.00538031
$808$	34886.4			1.51893
$809$	4914.80	+	6162.96i	0.213591	+	0.267835i	0.877072	−	0.480358i	$-0.159493\pi$
$809$	4914.80	+	6162.96i	0.213591	+	0.267835i	−0.663481	+	0.748193i	$0.730922\pi$
$810$	3983.99	−	4995.76i	0.172819	−	0.216708i
$811$	−17534.8	+	8444.29i	−0.759221	+	0.365622i	−0.773102	−	0.634282i	$-0.781296\pi$
$811$	−17534.8	+	8444.29i	−0.759221	+	0.365622i	0.0138804	+	0.999904i	$0.495582\pi$
$812$	−759.287	+	952.116i	−0.0328150	+	0.0411487i
$813$	469.752	−	2058.12i	0.0202644	−	0.0887840i
$814$	32007.4	+	40136.0i	1.37821	+	1.72821i
$815$	−1051.64	−	4607.53i	−0.0451991	−	0.198030i
$816$	845.560	−	407.200i	0.0362752	−	0.0174692i
$817$	16357.0	−	7877.10i	0.700438	−	0.337313i
$818$	17188.9	+	21554.2i	0.734714	+	0.921302i
$819$	573.166	−	276.022i	0.0244542	−	0.0117765i
$820$	−6617.04	−	8297.51i	−0.281801	−	0.353368i
$821$	25432.3			1.08111			0.540556	−	0.841308i	$-0.318214\pi$
$821$	25432.3			1.08111			0.540556	+	0.841308i	$0.318214\pi$
$822$	−8795.63	−	4235.75i	−0.373215	−	0.179731i
$823$	2284.59	+	10009.5i	0.0967629	+	0.423946i	0.999986	−	0.00522460i	$-0.00166305\pi$
$823$	2284.59	+	10009.5i	0.0967629	+	0.423946i	−0.903223	+	0.429171i	$0.858806\pi$
$824$	−15675.2			−0.662710
$825$	−1203.00	+	5270.68i	−0.0507673	+	0.222426i
$826$	1630.00	−	784.966i	0.0686621	−	0.0330659i
$827$	−3816.65	+	16721.8i	−0.160481	+	0.703114i	0.829096	+	0.559107i	$0.188856\pi$
$827$	−3816.65	+	16721.8i	−0.160481	+	0.703114i	−0.989577	+	0.144007i	$0.954001\pi$
$828$	40499.8	−	19503.7i	1.69984	−	0.818598i
$829$	1919.62	+	2407.12i	0.0804235	+	0.100848i	0.820415	−	0.571768i	$-0.193742\pi$
$829$	1919.62	+	2407.12i	0.0804235	+	0.100848i	−0.739992	+	0.672616i	$0.765171\pi$
$830$	606.134	+	291.899i	0.0253485	+	0.0122072i
$831$	−6723.85	+	3238.03i	−0.280683	+	0.135170i
$832$	−10269.2	+	44992.4i	−0.427910	+	1.87479i
$833$	3162.39	−	13855.3i	0.131537	−	0.576301i
$834$	−6531.43	+	8190.16i	−0.271181	+	0.340050i
$835$	−1161.65	+	5089.51i	−0.0481442	+	0.210934i
$836$	−5541.02	+	24276.8i	−0.229235	+	1.00434i
$837$	13410.4	+	16816.1i	0.553799	+	0.694442i
$838$	−5723.54	−	25076.5i	−0.235939	−	1.03371i
$839$	−1130.13	−	4951.41i	−0.0465033	−	0.203744i	0.946339	−	0.323175i	$-0.104750\pi$
$839$	−1130.13	−	4951.41i	−0.0465033	−	0.203744i	−0.992843	+	0.119431i	$0.961893\pi$
$840$	33.8128	+	16.2834i	0.00138887	+	0.000668845i
$841$	13277.1	−	16648.9i	0.544387	−	0.682640i
$842$	442.546	+	554.935i	0.0181130	+	0.0227130i
$843$	−3976.65	−	1915.05i	−0.162471	−	0.0782419i
$844$	−22099.4	+	27711.8i	−0.901294	+	1.13019i
$845$	−2111.01	−	1016.61i	−0.0859421	−	0.0413875i
$846$	6909.23	−	8663.90i	0.280785	−	0.352093i
$847$	−215.541	+	103.799i	−0.00874388	+	0.00421083i
$848$	−8390.71	−	4040.75i	−0.339786	−	0.163632i
$849$	6903.37	−	3324.49i	0.279061	−	0.134389i
$850$	−13647.6	+	17113.6i	−0.550717	+	0.690577i
$851$	13486.3	+	59087.3i	0.543248	+	2.38013i
$852$	6925.96	+	3335.37i	0.278497	+	0.134117i
$853$	−10862.4	+	13621.1i	−0.436017	+	0.546748i	−0.950489	−	0.310759i	$-0.899417\pi$
$853$	−10862.4	+	13621.1i	−0.436017	+	0.546748i	0.514471	+	0.857508i	$0.327988\pi$
$854$	877.795	−	422.724i	0.0351727	−	0.0169383i
$855$	−1051.92	+	4608.77i	−0.0420760	+	0.184347i
$856$	−16092.0			−0.642537
$857$	−8016.00			−0.319512			−0.159756	−	0.987157i	$-0.551071\pi$
$857$	−8016.00			−0.319512			−0.159756	+	0.987157i	$0.551071\pi$
$858$	7110.20	+	8915.90i	0.282911	+	0.354760i
$859$	−14152.1	−	17746.2i	−0.562124	−	0.704881i	0.416825	−	0.908987i	$-0.363143\pi$
$859$	−14152.1	−	17746.2i	−0.562124	−	0.704881i	−0.978949	+	0.204105i	$0.934571\pi$
$860$	−7463.58	+	3594.27i	−0.295937	+	0.142516i
$861$	−54.3881	+	238.290i	−0.00215278	+	0.00943194i
$862$	4821.44	+	21124.1i	0.190509	+	0.834676i
$863$	−7253.30	+	9095.36i	−0.286101	+	0.358760i	−0.904026	−	0.427478i	$-0.859402\pi$
$863$	−7253.30	+	9095.36i	−0.286101	+	0.358760i	0.617925	+	0.786237i	$0.287974\pi$
$864$	10840.9	−	13594.0i	0.426867	−	0.535275i
$865$	59.7563			0.00234887
$866$	3748.79	+	16424.5i	0.147100	+	0.644489i
$867$	−3189.54	+	3999.55i	−0.124939	+	0.156669i
$868$	927.520	−	1163.07i	0.0362697	−	0.0454807i
$869$	−43.5078	+	190.620i	−0.00169839	+	0.00744114i
$870$	−3733.90	−	1798.15i	−0.145507	−	0.0700724i
$871$	49529.4			1.92679
$872$	−22995.8			−0.893047
$873$	1827.97	−	8008.85i	0.0708675	−	0.310491i
$874$	−30432.2	+	38160.8i	−1.17779	+	1.47690i
$875$	308.095			0.0119035
$876$	−953.100	−	4175.81i	−0.0367606	−	0.161059i
$877$	−26531.9	−	12777.1i	−1.02157	−	0.491964i	−0.153368	−	0.988169i	$-0.549012\pi$
$877$	−26531.9	−	12777.1i	−1.02157	−	0.491964i	−0.868205	+	0.496205i	$0.834726\pi$
$878$	8826.27	+	38670.4i	0.339262	+	1.48641i
$879$	−2776.34	+	12163.9i	−0.106534	+	0.466757i
$880$	−243.432	+	1066.54i	−0.00932510	+	0.0408559i
$881$	−31599.9			−1.20843			−0.604215	−	0.796821i	$-0.706513\pi$
$881$	−31599.9			−1.20843			−0.604215	+	0.796821i	$0.706513\pi$
$882$	−8359.18	−	36624.0i	−0.319125	−	1.39818i
$883$	6765.24	+	8483.34i	0.257835	+	0.323315i	0.893854	−	0.448359i	$-0.147991\pi$
$883$	6765.24	+	8483.34i	0.257835	+	0.323315i	−0.636019	+	0.771674i	$0.719420\pi$
$884$	6188.30	+	27112.7i	0.235447	+	1.03156i
$885$	2312.05	+	2899.22i	0.0878178	+	0.110120i
$886$	16767.9	+	8074.98i	0.635810	+	0.306190i
$887$	−27043.3	−	13023.4i	−1.02371	−	0.492990i	−0.154788	−	0.987948i	$-0.549469\pi$
$887$	−27043.3	−	13023.4i	−1.02371	−	0.492990i	−0.868917	+	0.494957i	$0.835184\pi$
$888$	−7357.86	−	9226.47i	−0.278056	−	0.348671i
$889$	−256.684	−	1124.61i	−0.00968380	−	0.0424275i
$890$	−624.593	−	783.214i	−0.0235240	−	0.0294982i
$891$	3367.86	+	14755.6i	0.126630	+	0.554803i
$892$	79026.3			2.96636
$893$	−1612.68	+	7065.61i	−0.0604326	+	0.264772i
$894$	2472.57	−	10833.0i	0.0925000	−	0.405269i
$895$	−1810.94	−	7934.25i	−0.0676347	−	0.296327i
$896$	−868.632	−	418.311i	−0.0323872	−	0.0155969i
$897$	2995.87	+	13125.8i	0.111515	+	0.488581i
$898$	69275.0			2.57432
$899$	−34794.3	+	43630.7i	−1.29083	+	1.61865i
$900$	−7754.63	+	33975.3i	−0.287209	+	1.25834i
$901$	−27319.4			−1.01014
$902$	41736.3			1.54065
$903$	171.888	+	82.7770i	0.00633453	+	0.00305055i
$904$	−1508.26	+	6608.10i	−0.0554910	+	0.243122i
$905$	5688.53	−	7133.19i	0.208943	−	0.262006i
$906$	−12877.4	+	16147.8i	−0.472212	+	0.592135i
$907$	−1703.32	−	7462.74i	−0.0623571	−	0.273204i	0.934132	−	0.356928i	$-0.116176\pi$
$907$	−1703.32	−	7462.74i	−0.0623571	−	0.273204i	−0.996489	+	0.0837236i	$0.973319\pi$
$908$	39738.0			1.45237
$909$	−28791.9	+	36103.9i	−1.05057	+	1.31737i
$910$	196.520	−	246.428i	0.00715886	−	0.00897692i
$911$	−8587.29	−	37623.4i	−0.312305	−	1.36830i	−0.850721	−	0.525617i	$-0.823834\pi$
$911$	−8587.29	−	37623.4i	−0.312305	−	1.36830i	0.538416	−	0.842679i	$-0.319023\pi$
$912$	−361.020	+	1581.73i	−0.0131081	+	0.0574302i
$913$	−1435.70	+	691.396i	−0.0520424	+	0.0250623i
$914$	24582.6	+	30825.7i	0.889630	+	1.11556i
$915$	1245.10	+	1561.30i	0.0449854	+	0.0564099i
$916$	38027.1			1.37167
$917$	−927.081			−0.0333859
$918$	3408.66	−	14934.3i	0.122552	−	0.536934i
$919$	32366.5	−	15586.9i	1.16178	−	0.559483i	0.249226	−	0.968445i	$-0.419824\pi$
$919$	32366.5	−	15586.9i	1.16178	−	0.559483i	0.912551	+	0.408963i	$0.134109\pi$
$920$	4717.17	−	5915.15i	0.169044	−	0.211975i
$921$	−2766.81	−	1332.43i	−0.0989897	−	0.0476709i
$922$	5171.80	+	22659.2i	0.184733	+	0.809370i
$923$	13674.4	−	17147.2i	0.487647	−	0.611490i
$924$	−235.761	+	113.536i	−0.00839390	+	0.00404229i
$925$	−42333.0	−	20386.5i	−1.50476	−	0.724653i
$926$	−21204.4	+	10211.5i	−0.752507	+	0.362388i
$927$	12936.8	−	16222.3i	0.458362	−	0.574768i
$928$	40645.4	+	19573.8i	1.43777	+	0.692394i
$929$	−24389.8	+	30583.9i	−0.861361	+	1.08011i	0.134651	+	0.990893i	$0.457009\pi$
$929$	−24389.8	+	30583.9i	−0.861361	+	1.08011i	−0.996012	+	0.0892193i	$0.971563\pi$
$930$	4561.20	+	2196.56i	0.160825	+	0.0774495i
$931$	15317.9	+	19208.0i	0.539231	+	0.676174i
$932$	−307.337	+	385.389i	−0.0108017	+	0.0135449i
$933$	1646.43	+	792.877i	0.0577723	+	0.0278217i
$934$	−9431.01	−	41320.0i	−0.330398	−	1.44757i
$935$	714.100	+	3128.68i	0.0249771	+	0.109432i
$936$	15569.8	+	19523.9i	0.543711	+	0.681792i
$937$	−7031.67	+	30807.7i	−0.245160	+	1.07411i	0.691087	+	0.722771i	$0.257132\pi$
$937$	−7031.67	+	30807.7i	−0.245160	+	1.07411i	−0.936247	+	0.351343i	$0.885725\pi$
$938$	−419.883	+	1839.63i	−0.0146159	+	0.0640362i
$939$	−7780.47	+	9756.40i	−0.270400	+	0.339071i
$940$	735.855	−	3223.99i	0.0255329	−	0.111867i
$941$	5562.46	−	24370.8i	0.192700	−	0.844276i	−0.782447	−	0.622718i	$-0.786029\pi$
$941$	5562.46	−	24370.8i	0.192700	−	0.844276i	0.975147	−	0.221558i	$-0.0711143\pi$
$942$	21776.3	−	10486.9i	0.753197	−	0.362721i
$943$	44394.0	+	21379.0i	1.53305	+	0.738278i
$944$	−7558.63	−	9478.23i	−0.260607	−	0.326790i
$945$	−94.2135	+	45.3708i	−0.00324314	+	0.00156181i
$946$	7249.16	−	31760.7i	0.249144	−	1.09157i
$947$	28340.0	−	13647.8i	0.972468	−	0.468316i	0.120960	−	0.992657i	$-0.461403\pi$
$947$	28340.0	−	13647.8i	0.972468	−	0.468316i	0.851508	+	0.524342i	$0.175689\pi$
$948$	29.4419	−	128.993i	0.00100868	−	0.00441931i
$949$	−12220.2			−0.418001
$950$	−8420.22	−	36891.4i	−0.287566	−	1.25991i
$951$	−10302.5	−	4961.41i	−0.351294	−	0.169174i
$952$	−359.914			−0.0122530
$953$	915.664	+	1148.21i	0.0311241	+	0.0390284i	0.797150	−	0.603781i	$-0.206340\pi$
$953$	915.664	+	1148.21i	0.0311241	+	0.0390284i	−0.766026	+	0.642810i	$0.777769\pi$
$954$	−65062.2	+	31332.3i	−2.20804	+	1.06333i
$955$	3299.60	+	4137.57i	0.111804	+	0.140198i
$956$	12439.2	−	5990.38i	0.420827	−	0.202660i
$957$	8844.16	−	4259.12i	0.298737	−	0.143864i
$958$	5098.19	+	22336.6i	0.171936	+	0.753302i
$959$	−398.479	−	499.677i	−0.0134177	−	0.0168252i
$960$	801.904	−	3513.37i	0.0269597	−	0.118118i
$961$	23929.2	−	30006.2i	0.803235	−	1.00722i
$962$	−89297.1	+	43003.2i	−2.99278	+	1.44125i
$963$	13280.8	−	16653.5i	0.444410	−	0.557272i
$964$	−41107.6	−	51547.3i	−1.37343	−	1.72223i
$965$	4172.76			0.139198
$966$	−512.917			−0.0170837
$967$	43435.2	+	20917.3i	1.44445	+	0.695610i	0.981621	−	0.190839i	$-0.0611208\pi$
$967$	43435.2	+	20917.3i	1.44445	+	0.695610i	0.462827	+	0.886449i	$0.346835\pi$
$968$	−5855.06	−	7342.01i	−0.194410	−	0.243782i
$969$	1059.04	+	4639.96i	0.0351097	+	0.153826i
$970$	−905.680	−	3968.04i	−0.0299790	−	0.131347i
$971$	−52621.3			−1.73913			−0.869567	−	0.493815i	$-0.835602\pi$
$971$	−52621.3			−1.73913			−0.869567	+	0.493815i	$0.835602\pi$
$972$	−8275.57	−	36257.7i	−0.273086	−	1.19647i
$973$	−617.885	+	297.558i	−0.0203582	+	0.00980397i
$974$	51784.8	−	24938.2i	1.70358	−	0.820403i
$975$	−9403.95	−	4528.70i	−0.308890	−	0.148753i
$976$	−4070.51	−	5104.26i	−0.133498	−	0.167401i
$977$	−5989.08	+	26239.9i	−0.196118	+	0.859251i	0.777101	+	0.629375i	$0.216689\pi$
$977$	−5989.08	+	26239.9i	−0.196118	+	0.859251i	−0.973220	+	0.229876i	$0.926168\pi$
$978$	−11331.4	−	5456.90i	−0.370488	−	0.178418i
$979$	2372.80			0.0774619
$980$	−6989.46	−	8764.50i	−0.227827	−	0.285685i
$981$	18978.6	−	23798.4i	0.617674	−	0.774539i
$982$	9300.99	+	4479.12i	0.302247	+	0.145555i
$983$	5185.30	−	2497.11i	0.168245	−	0.0810227i	−0.347866	−	0.937544i	$-0.613093\pi$
$983$	5185.30	−	2497.11i	0.168245	−	0.0810227i	0.516111	+	0.856522i	$0.327379\pi$
$984$	−9594.34			−0.310830
$985$	−7052.65	−	2442.34i	−0.228138	−	0.0790046i
$986$	39744.8			1.28370
$987$	−68.6167	+	33.0441i	−0.00221286	+	0.00106566i
$988$	−43314.7	−	20859.3i	−1.39476	−	0.671682i
$989$	23979.9	−	30069.8i	0.770996	−	0.966799i
$990$	5288.91	+	6632.08i	0.169790	+	0.212910i
$991$	17540.5			0.562252			0.281126	−	0.959671i	$-0.409292\pi$
$991$	17540.5			0.562252			0.281126	+	0.959671i	$0.409292\pi$
$992$	−49651.1	−	23910.7i	−1.58914	−	0.765288i
$993$	−1202.04	+	5266.50i	−0.0384146	+	0.168305i
$994$	520.959	+	653.261i	0.0166235	+	0.0208453i
$995$	6388.38	+	3076.48i	0.203543	+	0.0980211i
$996$	971.540	−	467.869i	0.0309081	−	0.0148845i
$997$	−8785.34	+	4230.80i	−0.279072	+	0.134394i	−0.568185	−	0.822901i	$-0.692354\pi$
$997$	−8785.34	+	4230.80i	−0.279072	+	0.134394i	0.289113	+	0.957295i	$0.406640\pi$
$998$	−16512.5	−	72345.8i	−0.523740	−	2.29466i
$999$	32881.7			1.04137

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.4.d.a.36.7	✓	294
197.104	even	7	inner	197.4.d.a.104.7	yes	294

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.4.d.a.36.7	✓	294	1.1	even	1	trivial
197.4.d.a.104.7	yes	294	197.104	even	7	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	197.d (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-4.04091 + 1.94600i) q^{2} +(-1.44300 - 0.694910i) q^{3} +(7.55409 - 9.47253i) q^{4} +(1.68297 + 2.11038i) q^{5} +7.18331 q^{6} +(0.423695 + 0.204041i) q^{7} +(-4.10768 + 17.9969i) q^{8} +(-15.2349 - 19.1039i) q^{9} +(-10.9075 - 5.25278i) q^{10} +(25.8357 - 12.4418i) q^{11} +(-17.4831 + 8.41941i) q^{12} +(12.3194 + 53.9746i) q^{13} -2.10917 q^{14} +(-0.961997 - 4.21478i) q^{15} +(3.14499 + 13.7791i) q^{16} +(25.8500 + 32.4148i) q^{17} +(98.7390 + 47.5502i) q^{18} -71.6730 q^{19} +32.7039 q^{20} +(-0.469600 - 0.588860i) q^{21} +(-80.1879 + 100.552i) q^{22} +(-136.801 + 65.8800i) q^{23} +(18.4336 - 23.1150i) q^{24} +(26.1938 - 114.763i) q^{25} +(-154.816 - 194.133i) q^{26} +(18.3309 + 80.3129i) q^{27} +(5.13341 - 2.47212i) q^{28} +(-192.571 + 92.7372i) q^{29} +(12.0893 + 15.1595i) q^{30} +(235.238 - 113.285i) q^{31} +(-131.598 - 165.019i) q^{32} -45.9268 q^{33} +(-167.536 - 80.6813i) q^{34} +(0.282463 + 1.23755i) q^{35} -296.048 q^{36} +(88.8204 - 389.147i) q^{37} +(289.624 - 139.476i) q^{38} +(19.7307 - 86.4461i) q^{39} +(-44.8934 + 21.6195i) q^{40} +(-202.332 - 253.716i) q^{41} +(3.04353 + 1.46569i) q^{42} +(-228.217 + 109.903i) q^{43} +(77.3098 - 338.716i) q^{44} +(14.6767 - 64.3028i) q^{45} +(424.598 - 532.429i) q^{46} +(22.5005 - 98.5812i) q^{47} +(5.03704 - 22.0687i) q^{48} +(-213.719 - 267.995i) q^{49} +(117.481 + 514.718i) q^{50} +(-14.7760 - 64.7379i) q^{51} +(604.338 + 291.034i) q^{52} +(-410.837 + 515.173i) q^{53} +(-230.362 - 288.865i) q^{54} +(69.7377 + 33.5839i) q^{55} +(-5.41250 + 6.78706i) q^{56} +(103.424 + 49.8063i) q^{57} +(597.694 - 749.485i) q^{58} +(-772.814 + 372.168i) q^{59} +(-47.1917 - 22.7263i) q^{60} +(-416.180 + 200.422i) q^{61} +(-730.123 + 915.546i) q^{62} +(-2.55696 - 11.2028i) q^{63} +(751.033 + 361.678i) q^{64} +(-93.1738 + 116.836i) q^{65} +(185.586 - 89.3734i) q^{66} +(199.075 - 872.204i) q^{67} +502.323 q^{68} +243.184 q^{69} +(-3.54967 - 4.45115i) q^{70} +(-246.997 - 309.724i) q^{71} +(406.392 - 195.708i) q^{72} +(-49.1168 + 215.195i) q^{73} +(398.365 + 1745.35i) q^{74} +(-117.547 + 147.400i) q^{75} +(-541.425 + 678.925i) q^{76} +13.4851 q^{77} +(88.4937 + 387.716i) q^{78} +(-4.25124 + 5.33088i) q^{79} +(-23.7862 + 29.8270i) q^{80} +(-117.447 + 514.571i) q^{81} +(1311.33 + 631.505i) q^{82} -55.5703 q^{83} -9.12539 q^{84} +(-24.9028 + 109.106i) q^{85} +(708.330 - 888.218i) q^{86} +342.323 q^{87} +(117.790 + 516.070i) q^{88} +(74.5523 + 35.9025i) q^{89} +(65.8259 + 288.402i) q^{90} +(-5.79337 + 25.3824i) q^{91} +(-409.358 + 1793.52i) q^{92} -418.171 q^{93} +(100.916 + 442.143i) q^{94} +(-120.624 - 151.257i) q^{95} +(75.2224 + 329.571i) q^{96} +(209.613 + 262.846i) q^{97} +(1385.14 + 667.047i) q^{98} +(-631.292 - 304.014i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 294 q - 5 q^{2} - 5 q^{3} - 161 q^{4} - 5 q^{5} + 58 q^{6} + 15 q^{7} + 115 q^{8} - 446 q^{9} - 211 q^{10} + 93 q^{11} - 47 q^{12} + 23 q^{13} + 656 q^{14} + 343 q^{15} - 1505 q^{16} - 17 q^{17} + 132 q^{18}+ \cdots + 4526 q^{99}+O(q^{100}) \) 294 * q - 5 * q^2 - 5 * q^3 - 161 * q^4 - 5 * q^5 + 58 * q^6 + 15 * q^7 + 115 * q^8 - 446 * q^9 - 211 * q^10 + 93 * q^11 - 47 * q^12 + 23 * q^13 + 656 * q^14 + 343 * q^15 - 1505 * q^16 - 17 * q^17 + 132 * q^18 + 512 * q^19 + 148 * q^20 - 47 * q^21 - 845 * q^22 - 143 * q^23 + 775 * q^24 - 952 * q^25 + 39 * q^26 + 1159 * q^27 - 130 * q^28 - 169 * q^29 + 1048 * q^30 - 269 * q^31 - 39 * q^32 + 234 * q^33 + 761 * q^34 + 949 * q^35 + 15930 * q^36 + 715 * q^37 - 987 * q^38 - 417 * q^39 - 3303 * q^40 + 65 * q^41 - 2334 * q^42 + 581 * q^43 - 1751 * q^44 - 2497 * q^45 + 13 * q^46 - 361 * q^47 - 3995 * q^48 - 3728 * q^49 + 3671 * q^50 + 213 * q^51 + 4036 * q^52 - 47 * q^53 + 1358 * q^54 - 4339 * q^55 + 680 * q^56 - 2470 * q^57 + 1483 * q^58 - 3375 * q^59 + 1549 * q^60 + 805 * q^61 - 1149 * q^62 - 4839 * q^63 - 7061 * q^64 + 457 * q^65 + 1224 * q^66 + 2261 * q^67 + 1216 * q^68 - 4378 * q^69 + 1360 * q^70 - 1687 * q^71 + 936 * q^72 + 3075 * q^73 - 601 * q^74 + 3549 * q^75 - 5960 * q^76 - 4318 * q^77 - 11681 * q^78 + 2973 * q^79 - 1671 * q^80 - 4288 * q^81 + 2197 * q^82 + 9380 * q^83 - 7416 * q^84 - 5171 * q^85 - 3868 * q^86 + 1826 * q^87 - 3252 * q^88 - 79 * q^89 + 19791 * q^90 + 8303 * q^91 + 8077 * q^92 + 2118 * q^93 + 6319 * q^94 - 3280 * q^95 - 13752 * q^96 - 17 * q^97 - 4434 * q^98 + 4526 * q^99

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