LMFDB - Embedded newform 197.4.h.a.4.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(98))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("197.4");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$N$	$=$	$197$
Weight:	$k$	$=$	$4$
Character orbit:	$[\chi]$	$=$	197.h (of order $98$ , degree $42$ , 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:	$2016$
Relative dimension:	$48$ over $\Q(\zeta_{98})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{98}]$

Embedding invariants

Embedding label			4.16
Character	$\chi$	$=$	197.4
Dual form			197.4.h.a.148.16

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.52646 - 0.0810187i) q^{2} +(-7.43397 + 3.87830i) q^{3} +(-1.60712 - 0.103180i) q^{4} +(-9.38322 + 2.78489i) q^{5} +(19.0959 - 9.19608i) q^{6} +(-0.593600 - 18.5106i) q^{7} +(24.1806 + 2.33267i) q^{8} +(24.7755 - 35.5176i) q^{9} +(23.9320 - 6.27570i) q^{10} +(-26.9768 - 36.1464i) q^{11} +(12.3474 - 5.46583i) q^{12} +(-33.0163 - 34.0920i) q^{13} +46.8145i q^{14} +(58.9539 - 57.0937i) q^{15} +(-48.1248 - 6.20500i) q^{16} +(8.86261 - 21.8908i) q^{17} +(-65.4721 + 87.7266i) q^{18} +(-17.5537 + 76.9079i) q^{19} +(15.3673 - 3.50748i) q^{20} +(76.2025 + 135.305i) q^{21} +(65.2272 + 93.5082i) q^{22} +(-31.7468 - 27.0265i) q^{23} +(-188.805 + 76.4385i) q^{24} +(-24.4718 + 15.9294i) q^{25} +(80.6523 + 88.8072i) q^{26} +(-17.4827 + 135.592i) q^{27} +(-0.955948 + 29.8100i) q^{28} +(-109.401 - 247.138i) q^{29} +(-153.571 + 139.469i) q^{30} +(12.3202 + 63.2614i) q^{31} +(-70.7690 - 11.4414i) q^{32} +(340.731 + 164.087i) q^{33} +(-24.1646 + 54.5883i) q^{34} +(57.1200 + 172.036i) q^{35} +(-43.4819 + 54.5246i) q^{36} +(-46.8825 + 6.04483i) q^{37} +(50.5798 - 192.883i) q^{38} +(377.661 + 125.392i) q^{39} +(-233.388 + 45.4523i) q^{40} +(-20.0950 - 8.13558i) q^{41} +(-181.561 - 348.018i) q^{42} +(-65.2289 + 48.6816i) q^{43} +(39.6252 + 60.8749i) q^{44} +(-133.562 + 402.267i) q^{45} +(78.0175 + 70.8534i) q^{46} +(5.26693 - 8.68835i) q^{47} +(381.823 - 140.514i) q^{48} +(0.00413908 - 0.000265738i) q^{49} +(63.1178 - 38.2624i) q^{50} +(19.0147 + 197.107i) q^{51} +(49.5434 + 58.1965i) q^{52} +(-451.004 + 496.605i) q^{53} +(55.1549 - 341.153i) q^{54} +(353.793 + 264.042i) q^{55} +(28.8257 - 448.983i) q^{56} +(-167.778 - 639.809i) q^{57} +(256.374 + 633.249i) q^{58} +(-60.7063 - 15.9191i) q^{59} +(-100.637 + 85.6733i) q^{60} +(325.273 - 623.487i) q^{61} +(-26.0011 - 160.826i) q^{62} +(-672.160 - 437.528i) q^{63} +(558.895 + 108.845i) q^{64} +(404.742 + 227.946i) q^{65} +(-847.550 - 442.166i) q^{66} +(334.369 + 202.696i) q^{67} +(-16.5019 + 34.2666i) q^{68} +(340.822 + 77.7903i) q^{69} +(-130.373 - 439.271i) q^{70} +(-859.153 - 599.308i) q^{71} +(681.939 - 801.044i) q^{72} +(59.2631 + 459.633i) q^{73} +(118.937 - 11.4737i) q^{74} +(120.144 - 213.328i) q^{75} +(36.1462 - 121.789i) q^{76} +(-653.079 + 520.813i) q^{77} +(-943.987 - 347.396i) q^{78} +(-509.999 - 151.365i) q^{79} +(468.845 - 75.7993i) q^{80} +(7.91167 + 21.4986i) q^{81} +(50.1102 + 22.1823i) q^{82} +(236.676 + 1036.94i) q^{83} +(-108.505 - 225.314i) q^{84} +(-22.1963 + 230.088i) q^{85} +(168.743 - 117.707i) q^{86} +(1771.76 + 1412.93i) q^{87} +(-567.997 - 936.970i) q^{88} +(276.404 - 1419.27i) q^{89} +(370.030 - 1005.49i) q^{90} +(-611.467 + 631.389i) q^{91} +(48.2322 + 46.7103i) q^{92} +(-336.934 - 422.502i) q^{93} +(-14.0106 + 21.5241i) q^{94} +(-49.4696 - 770.529i) q^{95} +(570.468 - 189.408i) q^{96} +(1416.68 - 797.857i) q^{97} +(-0.0104788 + 0.000336033i) q^{98} +(-1952.20 + 62.6032i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$2016 q - 42 q^{2} - 42 q^{3} - 42 q^{5} - 119 q^{6} - 98 q^{8} - 42 q^{9} - 252 q^{10} - 140 q^{11} + 14 q^{12} - 42 q^{13} - 1722 q^{15} + 168 q^{16} - 42 q^{17} + 147 q^{18} - 567 q^{19} - 49 q^{20} - 42 q^{21}+ \cdots - 14763 q^{99}+O(q^{100})$ 2016 * q - 42 * q^2 - 42 * q^3 - 42 * q^5 - 119 * q^6 - 98 * q^8 - 42 * q^9 - 252 * q^10 - 140 * q^11 + 14 * q^12 - 42 * q^13 - 1722 * q^15 + 168 * q^16 - 42 * q^17 + 147 * q^18 - 567 * q^19 - 49 * q^20 - 42 * q^21 - 1386 * q^22 - 42 * q^23 + 1246 * q^24 - 42 * q^25 + 1134 * q^26 - 504 * q^27 + 525 * q^28 - 3269 * q^29 - 847 * q^30 - 966 * q^31 - 994 * q^32 - 1631 * q^33 + 798 * q^34 - 42 * q^35 - 4207 * q^36 - 2149 * q^37 + 14 * q^38 - 252 * q^39 - 686 * q^40 - 392 * q^41 + 1176 * q^42 - 378 * q^43 + 12894 * q^44 + 3759 * q^45 + 2520 * q^46 + 28 * q^47 + 3654 * q^48 + 2646 * q^49 + 4914 * q^50 + 14 * q^51 - 3703 * q^52 - 42 * q^53 + 4305 * q^54 - 4130 * q^55 + 2989 * q^56 - 11585 * q^57 + 13286 * q^58 - 3136 * q^59 - 4914 * q^60 - 1050 * q^61 + 3836 * q^62 - 2198 * q^63 - 2562 * q^64 + 2359 * q^65 - 4683 * q^66 + 3528 * q^67 - 49 * q^68 - 49 * q^69 + 5208 * q^70 - 8792 * q^71 + 4928 * q^72 + 630 * q^73 + 266 * q^74 + 1232 * q^75 - 7903 * q^76 - 49 * q^77 - 4788 * q^78 - 1512 * q^79 - 490 * q^80 + 1078 * q^81 - 42 * q^82 - 5607 * q^83 + 10535 * q^84 - 19824 * q^85 - 7833 * q^86 - 49 * q^87 - 2373 * q^88 - 196 * q^89 - 8484 * q^90 + 14084 * q^91 - 1554 * q^92 - 2639 * q^93 + 7784 * q^94 + 7651 * q^95 + 15211 * q^96 - 1442 * q^97 + 18788 * q^98 - 14763 * q^99

Character values

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

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{98}\right)$

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

)

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

$2$	−2.52646	−	0.0810187i	−0.893239	−	0.0286444i	−0.417946	−	0.908472i	$-0.637250\pi$
$2$	−2.52646	−	0.0810187i	−0.893239	−	0.0286444i	−0.475293	+	0.879827i	$0.657658\pi$
$3$	−7.43397	+	3.87830i	−1.43067	+	0.746378i	−0.988595	−	0.150601i	$-0.951879\pi$
$3$	−7.43397	+	3.87830i	−1.43067	+	0.746378i	−0.442073	+	0.896979i	$0.645757\pi$
$4$	−1.60712	−	0.103180i	−0.200889	−	0.0128975i
$5$	−9.38322	+	2.78489i	−0.839261	+	0.249088i	−0.675452	−	0.737404i	$-0.736051\pi$
$5$	−9.38322	+	2.78489i	−0.839261	+	0.249088i	−0.163809	+	0.986492i	$0.552378\pi$
$6$	19.0959	−	9.19608i	1.29931	−	0.625714i
$7$	−0.593600	−	18.5106i	−0.0320514	−	0.999480i	−0.881608	−	0.471983i	$-0.843539\pi$
$7$	−0.593600	−	18.5106i	−0.0320514	−	0.999480i	0.849557	−	0.527498i	$-0.176870\pi$
$8$	24.1806	+	2.33267i	1.06864	+	0.103091i
$9$	24.7755	−	35.5176i	0.917613	−	1.31547i
$10$	23.9320	−	6.27570i	0.756795	−	0.198455i
$11$	−26.9768	−	36.1464i	−0.739436	−	0.990777i	−0.999682	−	0.0252349i	$-0.991967\pi$
$11$	−26.9768	−	36.1464i	−0.739436	−	0.990777i	0.260245	−	0.965543i	$-0.416197\pi$
$12$	12.3474	−	5.46583i	0.297033	−	0.131487i
$13$	−33.0163	−	34.0920i	−0.704390	−	0.727341i	0.267296	−	0.963614i	$-0.413870\pi$
$13$	−33.0163	−	34.0920i	−0.704390	−	0.727341i	−0.971687	+	0.236274i	$0.924074\pi$
$14$			46.8145i			0.893693i
$15$	58.9539	−	57.0937i	1.01479	−	0.982768i
$16$	−48.1248	−	6.20500i	−0.751949	−	0.0969531i
$17$	8.86261	−	21.8908i	0.126441	−	0.312312i	−0.850448	−	0.526059i	$-0.823669\pi$
$17$	8.86261	−	21.8908i	0.126441	−	0.312312i	0.976889	+	0.213747i	$0.0685669\pi$
$18$	−65.4721	+	87.7266i	−0.857329	+	1.14874i
$19$	−17.5537	+	76.9079i	−0.211953	+	0.928625i	0.751286	+	0.659977i	$0.229434\pi$
$19$	−17.5537	+	76.9079i	−0.211953	+	0.928625i	−0.963238	+	0.268648i	$0.913423\pi$
$20$	15.3673	−	3.50748i	0.171811	−	0.0392148i
$21$	76.2025	+	135.305i	0.791845	+	1.40600i
$22$	65.2272	+	93.5082i	0.632113	+	0.906182i
$23$	−31.7468	−	27.0265i	−0.287812	−	0.245018i	0.492641	−	0.870233i	$-0.336032\pi$
$23$	−31.7468	−	27.0265i	−0.287812	−	0.245018i	−0.780453	+	0.625215i	$0.785011\pi$
$24$	−188.805	+	76.4385i	−1.60582	+	0.650123i
$25$	−24.4718	+	15.9294i	−0.195775	+	0.127435i
$26$	80.6523	+	88.8072i	0.608355	+	0.669866i
$27$	−17.4827	+	135.592i	−0.124613	+	0.966473i
$28$	−0.955948	+	29.8100i	−0.00645204	+	0.201198i
$29$	−109.401	−	247.138i	−0.700525	−	1.58250i	−0.808602	−	0.588355i	$-0.799776\pi$
$29$	−109.401	−	247.138i	−0.700525	−	1.58250i	0.108078	−	0.994142i	$-0.465530\pi$
$30$	−153.571	+	139.469i	−0.934600	+	0.848779i
$31$	12.3202	+	63.2614i	0.0713796	+	0.366519i	0.999990	−	0.00453788i	$-0.00144446\pi$
$31$	12.3202	+	63.2614i	0.0713796	+	0.366519i	−0.928610	+	0.371057i	$0.878995\pi$
$32$	−70.7690	−	11.4414i	−0.390947	−	0.0632053i
$33$	340.731	+	164.087i	1.79738	+	0.865574i
$34$	−24.1646	+	54.5883i	−0.121888	+	0.275347i
$35$	57.1200	+	172.036i	0.275858	+	0.830841i
$36$	−43.4819	+	54.5246i	−0.201305	+	0.252429i
$37$	−46.8825	+	6.04483i	−0.208309	+	0.0268585i	−0.231325	−	0.972877i	$-0.574306\pi$
$37$	−46.8825	+	6.04483i	−0.208309	+	0.0268585i	0.0230154	+	0.999735i	$0.492673\pi$
$38$	50.5798	−	192.883i	0.215924	−	0.823413i
$39$	377.661	+	125.392i	1.55062	+	0.514841i
$40$	−233.388	+	45.4523i	−0.922547	+	0.179666i
$41$	−20.0950	−	8.13558i	−0.0765443	−	0.0309894i	0.336675	−	0.941621i	$-0.390698\pi$
$41$	−20.0950	−	8.13558i	−0.0765443	−	0.0309894i	−0.413219	+	0.910632i	$0.635596\pi$
$42$	−181.561	−	348.018i	−0.667033	−	1.27858i
$43$	−65.2289	+	48.6816i	−0.231333	+	0.172648i	−0.707515	−	0.706699i	$-0.750184\pi$
$43$	−65.2289	+	48.6816i	−0.231333	+	0.172648i	0.476182	+	0.879347i	$0.342020\pi$
$44$	39.6252	+	60.8749i	0.135766	+	0.208574i
$45$	−133.562	+	402.267i	−0.442449	+	1.33259i
$46$	78.0175	+	70.8534i	0.250066	+	0.227104i
$47$	5.26693	−	8.68835i	0.0163460	−	0.0269644i	−0.846863	−	0.531810i	$-0.821512\pi$
$47$	5.26693	−	8.68835i	0.0163460	−	0.0269644i	0.863209	+	0.504846i	$0.168451\pi$
$48$	381.823	−	140.514i	1.14815	−	0.422531i
$49$	0.00413908		0.000265738i	1.20673e−5		7.74745e-7i
$50$	63.1178	−	38.2624i	0.178524	−	0.108222i
$51$	19.0147	+	197.107i	0.0522077	+	0.541187i
$52$	49.5434	+	58.1965i	0.132124	+	0.155200i
$53$	−451.004	+	496.605i	−1.16887	+	1.28706i	−0.218534	+	0.975829i	$0.570128\pi$
$53$	−451.004	+	496.605i	−1.16887	+	1.28706i	−0.950336	+	0.311227i	$0.899260\pi$
$54$	55.1549	−	341.153i	0.138993	−	0.859723i
$55$	353.793	+	264.042i	0.867371	+	0.647336i
$56$	28.8257	−	448.983i	0.0687855	−	1.07139i
$57$	−167.778	−	639.809i	−0.389872	−	1.48675i
$58$	256.374	+	633.249i	0.580407	+	1.43362i
$59$	−60.7063	−	15.9191i	−0.133954	−	0.0351269i	0.186069	−	0.982537i	$-0.440425\pi$
$59$	−60.7063	−	15.9191i	−0.133954	−	0.0351269i	−0.320023	+	0.947410i	$0.603691\pi$
$60$	−100.637	+	85.6733i	−0.216536	+	0.184340i
$61$	325.273	−	623.487i	0.682736	−	1.30868i	−0.256879	−	0.966444i	$-0.582694\pi$
$61$	325.273	−	623.487i	0.682736	−	1.30868i	0.939615	−	0.342234i	$-0.111184\pi$
$62$	−26.0011	−	160.826i	−0.0532603	−	0.329434i
$63$	−672.160	−	437.528i	−1.34419	−	0.874973i
$64$	558.895	+	108.845i	1.09159	+	0.212587i
$65$	404.742	+	227.946i	0.772339	+	0.434973i
$66$	−847.550	−	442.166i	−1.58070	−	0.824650i
$67$	334.369	+	202.696i	0.609696	+	0.369601i	0.789182	−	0.614159i	$-0.210505\pi$
$67$	334.369	+	202.696i	0.609696	+	0.369601i	−0.179486	+	0.983761i	$0.557443\pi$
$68$	−16.5019	+	34.2666i	−0.0294287	+	0.0611094i
$69$	340.822	+	77.7903i	0.594639	+	0.135722i
$70$	−130.373	−	439.271i	−0.222608	−	0.750041i
$71$	−859.153	−	599.308i	−1.43609	−	1.00176i	−0.994521	−	0.104533i	$-0.966665\pi$
$71$	−859.153	−	599.308i	−1.43609	−	1.00176i	−0.441573	−	0.897225i	$-0.645580\pi$
$72$	681.939	−	801.044i	1.11621	−	1.31117i
$73$	59.2631	+	459.633i	0.0950167	+	0.736931i	0.968313	+	0.249741i	$0.0803455\pi$
$73$	59.2631	+	459.633i	0.0950167	+	0.736931i	−0.873296	+	0.487190i	$0.838022\pi$
$74$	118.937	−	11.4737i	0.186839	−	0.0180242i
$75$	120.144	−	213.328i	0.184974	−	0.328440i
$76$	36.1462	−	121.789i	0.0545560	−	0.183817i
$77$	−653.079	+	520.813i	−0.966562	+	0.770808i
$78$	−943.987	−	347.396i	−1.37033	−	0.504293i
$79$	−509.999	−	151.365i	−0.726321	−	0.215568i	−0.0998383	−	0.995004i	$-0.531833\pi$
$79$	−509.999	−	151.365i	−0.726321	−	0.215568i	−0.626483	+	0.779435i	$0.715506\pi$
$80$	468.845	−	75.7993i	0.655231	−	0.105933i
$81$	7.91167	+	21.4986i	0.0108528	+	0.0294905i
$82$	50.1102	+	22.1823i	0.0674847	+	0.0298735i
$83$	236.676	+	1036.94i	0.312994	+	1.37132i	0.849574	+	0.527469i	$0.176859\pi$
$83$	236.676	+	1036.94i	0.312994	+	1.37132i	−0.536580	+	0.843849i	$0.680284\pi$
$84$	−108.505	−	225.314i	−0.140939	−	0.292664i
$85$	−22.1963	+	230.088i	−0.0283238	+	0.293606i
$86$	168.743	−	117.707i	0.211581	−	0.147590i
$87$	1771.76	+	1412.93i	2.18336	+	1.74117i
$88$	−567.997	−	936.970i	−0.688053	−	1.13502i
$89$	276.404	−	1419.27i	0.329199	−	1.69037i	−0.334522	−	0.942388i	$-0.608575\pi$
$89$	276.404	−	1419.27i	0.329199	−	1.69037i	0.663721	−	0.747980i	$-0.268976\pi$
$90$	370.030	−	1005.49i	0.433384	−	1.17764i
$91$	−611.467	+	631.389i	−0.704386	+	0.727336i
$92$	48.2322	+	46.7103i	0.0546582	+	0.0529335i
$93$	−336.934	−	422.502i	−0.375682	−	0.471091i
$94$	−14.0106	+	21.5241i	−0.0153732	+	0.0236174i
$95$	−49.4696	−	770.529i	−0.0534260	−	0.832153i
$96$	570.468	−	189.408i	0.606491	−	0.201369i
$97$	1416.68	−	797.857i	1.48290	−	0.835155i	0.483706	−	0.875230i	$-0.339290\pi$
$97$	1416.68	−	797.857i	1.48290	−	0.835155i	0.999197	+	0.0400751i	$0.0127597\pi$
$98$	−0.0104788		0.000336033i	−1.08012e−5		3.46372e-7i
$99$	−1952.20	+	62.6032i	−1.98185	+	0.0635541i
$100$	40.9727	−	23.0754i	0.0409727	−	0.0230754i
$101$	−530.421	+	176.112i	−0.522563	+	0.173503i	−0.564213	−	0.825629i	$-0.690820\pi$
$101$	−530.421	+	176.112i	−0.522563	+	0.173503i	0.0416498	+	0.999132i	$0.486739\pi$
$102$	−32.0706	−	499.525i	−0.0311320	−	0.484905i
$103$	−617.399	+	948.491i	−0.590623	+	0.907355i	−0.999987	−	0.00501565i	$-0.998403\pi$
$103$	−617.399	+	948.491i	−0.590623	+	0.907355i	0.409365	+	0.912371i	$0.365750\pi$
$104$	−718.828	−	901.382i	−0.677759	−	0.849882i
$105$	−1091.84	−	1057.38i	−1.01478	−	0.982762i
$106$	1179.68	−	1218.11i	1.08095	−	1.11617i
$107$	−293.469	+	797.450i	−0.265147	+	0.720489i	0.733998	+	0.679151i	$0.237652\pi$
$107$	−293.469	+	797.450i	−0.265147	+	0.720489i	−0.999145	+	0.0413383i	$0.986838\pi$
$108$	42.0872	−	216.109i	0.0374986	−	0.192547i
$109$	578.668	+	954.573i	0.508498	+	0.838821i	0.999477	−	0.0323506i	$-0.0102993\pi$
$109$	578.668	+	954.573i	0.508498	+	0.838821i	−0.490978	+	0.871172i	$0.663361\pi$
$110$	−872.451	−	695.757i	−0.756227	−	0.603071i
$111$	325.080	−	226.761i	0.277975	−	0.193903i
$112$	−86.2916	+	894.503i	−0.0728017	+	0.754666i
$113$	475.005	+	986.357i	0.395440	+	0.821139i	0.999703	+	0.0243545i	$0.00775303\pi$
$113$	475.005	+	986.357i	0.395440	+	0.821139i	−0.604264	+	0.796784i	$0.706533\pi$
$114$	372.048	+	1630.05i	0.305662	+	1.33919i
$115$	373.153	+	165.184i	0.302580	+	0.133943i
$116$	150.320	+	408.468i	0.120318	+	0.326942i
$117$	−2028.86	+	328.011i	−1.60315	+	0.259185i
$118$	152.083	+	45.1373i	0.118647	+	0.0352138i
$119$	−410.474	−	151.058i	−0.316202	−	0.116365i
$120$	1558.72	−	1243.04i	1.18576	−	0.945612i
$121$	−200.111	+	674.239i	−0.150346	+	0.506566i
$122$	−872.304	+	1548.86i	−0.647333	+	1.14941i
$123$	180.938	−	17.4549i	0.132639	−	0.0127955i
$124$	−13.2726	−	102.940i	−0.00961221	−	0.0745504i
$125$	978.352	−	1149.23i	0.700051	−	0.822320i
$126$	1662.74	+	1159.86i	1.17562	+	0.820064i
$127$	317.270	+	1068.99i	0.221678	+	0.746907i	0.993775	+	0.111403i	$0.0355344\pi$
$127$	317.270	+	1068.99i	0.221678	+	0.746907i	−0.772097	+	0.635505i	$0.780792\pi$
$128$	−844.084	−	192.657i	−0.582869	−	0.133036i
$129$	296.108	−	614.875i	0.202100	−	0.419664i
$130$	−1004.10	−	608.689i	−0.677424	−	0.410658i
$131$	15.6815	+	8.18102i	0.0104588	+	0.00545633i	0.467760	−	0.883856i	$-0.345061\pi$
$131$	15.6815	+	8.18102i	0.0104588	+	0.00545633i	−0.457301	+	0.889312i	$0.651184\pi$
$132$	−530.663	−	298.864i	−0.349912	−	0.197066i
$133$	1434.03	+	279.278i	0.934936	+	0.182079i
$134$	−828.348	−	539.195i	−0.534018	−	0.347607i
$135$	−213.566	−	1320.98i	−0.136154	−	0.842163i
$136$	265.367	−	508.659i	0.167317	−	0.320715i
$137$	1247.54	−	1062.05i	0.777992	−	0.662314i	−0.168261	−	0.985743i	$-0.553815\pi$
$137$	1247.54	−	1062.05i	0.777992	−	0.662314i	0.946253	+	0.323428i	$0.104835\pi$
$138$	−854.770	−	224.147i	−0.527267	−	0.138266i
$139$	−45.6044	−	112.644i	−0.0278282	−	0.0687361i	0.912365	−	0.409377i	$-0.134254\pi$
$139$	−45.6044	−	112.644i	−0.0278282	−	0.0687361i	−0.940193	+	0.340641i	$0.889356\pi$
$140$	−74.0476	−	282.376i	−0.0447012	−	0.170465i
$141$	−5.45818	+	85.0156i	−0.00326001	+	0.0507774i
$142$	2122.06	+	1583.74i	1.25408	+	0.935945i
$143$	−341.632	+	2113.11i	−0.199781	+	1.23572i
$144$	−1412.70	+	1555.54i	−0.817537	+	0.900199i
$145$	1714.78	+	2014.28i	0.982104	+	1.15364i
$146$	−112.487	−	1166.05i	−0.0637637	−	0.660978i
$147$	−0.0297392	+	0.0180281i	−1.66860e−5	+	1.01152e-5i
$148$	75.9694	−	4.87740i	0.0421935	−	0.00270892i
$149$	−516.402	+	190.041i	−0.283928	+	0.104488i	−0.483355	−	0.875425i	$-0.660582\pi$
$149$	−516.402	+	190.041i	−0.283928	+	0.104488i	0.199426	+	0.979913i	$0.436092\pi$
$150$	−320.823	+	529.231i	−0.174634	+	0.288077i
$151$	2469.94	+	2243.14i	1.33113	+	1.20890i	0.959894	+	0.280364i	$0.0904550\pi$
$151$	2469.94	+	2243.14i	1.33113	+	1.20890i	0.371240	+	0.928537i	$0.378933\pi$
$152$	−603.861	+	1818.73i	−0.322234	+	0.970517i
$153$	−557.933	−	857.136i	−0.294812	−	0.452911i
$154$	1692.18	−	1262.90i	0.885451	−	0.660829i
$155$	−291.779	−	559.286i	−0.151202	−	0.289825i
$156$	−594.007	−	240.487i	−0.304863	−	0.123425i
$157$	−1296.38	+	252.470i	−0.658995	+	0.128339i	−0.509564	−	0.860433i	$-0.670193\pi$
$157$	−1296.38	+	252.470i	−0.658995	+	0.128339i	−0.149431	+	0.988772i	$0.547744\pi$
$158$	1276.23	+	423.737i	0.642604	+	0.213359i
$159$	1426.76	−	5440.87i	0.711634	−	2.71377i
$160$	695.904	−	89.7269i	0.343850	−	0.0443346i
$161$	−481.432	+	603.697i	−0.235666	+	0.295515i
$162$	−18.2467	−	54.9563i	−0.00884938	−	0.0266529i
$163$	−173.748	+	392.499i	−0.0834906	+	0.188607i	−0.951282	−	0.308322i	$-0.900233\pi$
$163$	−173.748	+	392.499i	−0.0834906	+	0.188607i	0.867792	+	0.496928i	$0.165539\pi$
$164$	31.4556	+	15.1482i	0.0149773	+	0.00721267i
$165$	−3654.12	−	590.769i	−1.72408	−	0.278735i
$166$	−513.940	−	2638.98i	−0.240298	−	1.23388i
$167$	853.191	−	774.846i	0.395341	−	0.359038i	−0.450220	−	0.892918i	$-0.648654\pi$
$167$	853.191	−	774.846i	0.395341	−	0.359038i	0.845560	+	0.533880i	$0.179267\pi$
$168$	1527.00	+	3449.52i	0.701253	+	1.58414i
$169$	−1.77379	+	55.3134i	−0.000807371	+	0.0251768i
$170$	74.7195	−	579.510i	0.0337101	−	0.261449i
$171$	2296.68	+	2528.90i	1.02709	+	1.13094i
$172$	109.853	−	71.5066i	0.0486991	−	0.0316996i
$173$	−1659.10	+	671.696i	−0.729128	+	0.295191i	−0.709587	−	0.704618i	$-0.751118\pi$
$173$	−1659.10	+	671.696i	−0.729128	+	0.295191i	−0.0195410	+	0.999809i	$0.506220\pi$
$174$	−4361.81	−	3713.26i	−1.90039	−	1.61782i
$175$	309.390	+	443.534i	0.133644	+	0.191588i
$176$	1073.96	+	1906.93i	0.459960	+	0.816705i
$177$	513.028	−	117.095i	0.217862	−	0.0497255i
$178$	−813.311	+	3563.35i	−0.342473	+	1.50047i
$179$	−2681.03	+	3592.34i	−1.11950	+	1.50002i	−0.277353	+	0.960768i	$0.589457\pi$
$179$	−2681.03	+	3592.34i	−1.11950	+	1.50002i	−0.842143	+	0.539254i	$0.818706\pi$
$180$	256.155	−	632.708i	0.106070	−	0.261996i
$181$	2823.94	+	364.107i	1.15968	+	0.149524i	0.683586	−	0.729870i	$-0.260419\pi$
$181$	2823.94	+	364.107i	1.15968	+	0.149524i	0.476094	+	0.879394i	$0.342052\pi$
$182$	1596.00	−	1545.64i	0.650019	−	0.629509i
$183$			5896.49i			2.38186i
$184$	−704.613	−	727.571i	−0.282309	−	0.291507i
$185$	423.075	−	187.283i	0.168136	−	0.0744286i
$186$	817.021	+	1094.73i	0.322080	+	0.431558i
$187$	−1030.36	+	270.192i	−0.402927	+	0.105660i
$188$	−9.36103	+	13.4197i	−0.00363151	+	0.00520604i
$189$	2520.28	+	243.128i	0.969965	+	0.0935714i
$190$	62.5558	+	1950.72i	0.0238856	+	0.744842i
$191$	−122.978	+	59.2229i	−0.0465882	+	0.0224357i	−0.457033	−	0.889450i	$-0.651088\pi$
$191$	−122.978	+	59.2229i	−0.0465882	+	0.0224357i	0.410445	+	0.911886i	$0.365374\pi$
$192$	−4576.94	+	1358.41i	−1.72038	+	0.510599i
$193$	657.059	+	42.1846i	0.245058	+	0.0157332i	0.186114	−	0.982528i	$-0.440410\pi$
$193$	657.059	+	42.1846i	0.245058	+	0.0157332i	0.0589435	+	0.998261i	$0.481227\pi$
$194$	−3643.82	+	1900.98i	−1.34851	+	0.703517i
$195$	−3892.88	−	124.837i	−1.42961	−	0.0458450i
$196$	−0.00667940			−2.43418e−6
$197$	−1778.77	−	2116.92i	−0.643309	−	0.765606i
$197$	−1778.77	−	2116.92i	−0.643309	−	0.765606i
$198$	4937.23			1.77209
$199$	−4062.25	−	130.268i	−1.44706	−	0.0464045i	−0.701418	−	0.712750i	$-0.747450\pi$
$199$	−4062.25	−	130.268i	−1.44706	−	0.0464045i	−0.745643	+	0.666345i	$0.767858\pi$
$200$	−628.902	+	328.098i	−0.222350	+	0.116000i
$201$	−3271.80	−	210.057i	−1.14814	−	0.0737127i
$202$	1354.36	−	401.966i	0.471744	−	0.140011i
$203$	−4509.75	+	2171.78i	−1.55922	+	0.750882i
$204$	−10.2213	−	318.736i	−0.00350800	−	0.109392i
$205$	211.213	+	20.3754i	0.0719597	+	0.00694186i
$206$	1636.68	−	2346.31i	0.553558	−	0.793567i
$207$	−1746.46	+	457.976i	−0.586413	+	0.153775i
$208$	1377.36	+	1845.54i	0.459148	+	0.615216i
$209$	3253.49	−	1440.22i	1.07679	−	0.476661i
$210$	2672.81	+	2759.90i	0.878293	+	0.906910i
$211$			928.260i			0.302863i	0.988468	+	0.151431i	$0.0483883\pi$
$211$			928.260i			0.302863i	−0.988468	+	0.151431i	$0.951612\pi$
$212$	776.055	−	751.567i	0.251414	−	0.243480i
$213$	8711.21	+	1123.19i	2.80227	+	0.361312i
$214$	806.046	−	1990.95i	0.257478	−	0.635974i
$215$	476.484	−	638.446i	0.151144	−	0.202519i
$216$	−739.035	+	3237.93i	−0.232801	+	1.01997i
$217$	1163.70	−	265.606i	0.364041	−	0.0830899i
$218$	−1384.64	−	2458.58i	−0.430183	−	0.763834i
$219$	−2223.15	−	3187.06i	−0.685967	−	0.983385i
$220$	−541.342	−	460.851i	−0.165897	−	0.141230i
$221$	−1038.91	+	420.609i	−0.316221	+	0.128024i
$222$	−839.673	+	546.567i	−0.253852	+	0.165239i
$223$	2358.88	+	2597.38i	0.708350	+	0.779972i	0.983399	−	0.181458i	$-0.0580817\pi$
$223$	2358.88	+	2597.38i	0.708350	+	0.779972i	−0.275049	+	0.961430i	$0.588694\pi$
$224$	−169.779	+	1316.77i	−0.0506421	+	0.392770i
$225$	−40.5289	+	1263.84i	−0.0120086	+	0.374471i
$226$	−1120.17	−	2530.48i	−0.329701	−	0.744801i
$227$	2978.49	−	2704.98i	0.870878	−	0.790908i	−0.108256	−	0.994123i	$-0.534527\pi$
$227$	2978.49	−	2704.98i	0.870878	−	0.790908i	0.979134	+	0.203215i	$0.0651390\pi$
$228$	203.623	+	1045.56i	0.0591458	+	0.303701i
$229$	−2214.19	−	357.973i	−0.638941	−	0.103299i	−0.168459	−	0.985709i	$-0.553879\pi$
$229$	−2214.19	−	357.973i	−0.638941	−	0.103299i	−0.470482	+	0.882410i	$0.655920\pi$
$230$	−929.374	−	447.563i	−0.266440	−	0.128311i
$231$	2835.10	−	6404.55i	0.807515	−	1.82419i
$232$	−2068.88	−	6231.15i	−0.585469	−	1.76334i
$233$	3459.03	−	4337.48i	0.972568	−	1.21956i	−0.00302969	−	0.999995i	$-0.500964\pi$
$233$	3459.03	−	4337.48i	0.972568	−	1.21956i	0.975598	−	0.219566i	$-0.0704642\pi$
$234$	5152.42	−	664.331i	1.43942	−	0.185593i
$235$	−25.2246	+	96.1925i	−0.00700202	+	0.0267017i
$236$	95.9196	+	31.8475i	0.0264569	+	0.00878430i
$237$	4378.35	−	852.684i	1.20002	−	0.233704i
$238$	1024.81	+	414.899i	0.279111	+	0.113000i
$239$	−1783.01	−	3417.69i	−0.482565	−	0.924987i	−0.997694	−	0.0678742i	$-0.978378\pi$
$239$	−1783.01	−	3417.69i	−0.482565	−	0.924987i	0.515129	−	0.857113i	$-0.327744\pi$
$240$	−3191.41	+	2381.81i	−0.858353	+	0.640605i
$241$	−1587.50	−	2438.83i	−0.424315	−	0.651862i	0.559957	−	0.828522i	$-0.310818\pi$
$241$	−1587.50	−	2438.83i	−0.424315	−	0.651862i	−0.984272	+	0.176660i	$0.943471\pi$
$242$	560.198	−	1687.23i	0.148805	−	0.448178i
$243$	−2874.78	−	2610.80i	−0.758919	−	0.689230i
$244$	−587.083	+	968.454i	−0.154033	+	0.254094i
$245$	−0.0380978	+	0.0140203i	−9.93461e−6	+	3.65603e-6i
$246$	−458.547	+	29.4397i	−0.118845	+	0.00763011i
$247$	3201.50	−	1940.77i	0.824724	−	0.499953i
$248$	150.341	+	1558.44i	0.0384945	+	0.399036i
$249$	−5781.02	−	6790.71i	−1.47131	−	1.72829i
$250$	−2564.88	+	2824.21i	−0.648868	+	0.714476i
$251$	143.134	−	885.335i	0.0359942	−	0.222637i	−0.962888	−	0.269900i	$-0.913009\pi$
$251$	143.134	−	885.335i	0.0359942	−	0.222637i	0.998882	+	0.0472634i	$0.0150500\pi$
$252$	1035.10	+	772.511i	0.258749	+	0.193110i
$253$	−120.483	+	1876.62i	−0.0299395	+	0.466332i
$254$	−714.962	−	2726.46i	−0.176617	−	0.673517i
$255$	−727.342	−	1796.55i	−0.178619	−	0.441193i
$256$	−2289.25	−	600.311i	−0.558898	−	0.146560i
$257$	4158.57	−	3540.24i	1.00936	−	0.859277i	0.0192802	−	0.999814i	$-0.493863\pi$
$257$	4158.57	−	3540.24i	1.00936	−	0.859277i	0.990075	+	0.140537i	$0.0448830\pi$
$258$	−797.922	+	1529.47i	−0.192544	+	0.369072i
$259$	139.723	+	864.237i	0.0335211	+	0.207340i
$260$	−626.947	−	408.097i	−0.149545	−	0.0973428i
$261$	−11488.2	−	2237.33i	−2.72453	−	0.530603i
$262$	−38.9558	−	21.9395i	−0.00918588	−	0.00517339i
$263$	3121.33	+	1628.40i	0.731824	+	0.381792i	0.787220	−	0.616672i	$-0.211520\pi$
$263$	3121.33	+	1628.40i	0.731824	+	0.381792i	−0.0553961	+	0.998464i	$0.517642\pi$
$264$	7856.32	+	4762.54i	1.83153	+	1.11028i
$265$	2848.87	−	5915.75i	0.660396	−	1.37133i
$266$	−3600.40	−	821.769i	−0.829906	−	0.189421i
$267$	3449.59	+	11622.8i	0.790680	+	2.66406i
$268$	−516.455	−	360.257i	−0.117715	−	0.0821126i
$269$	3996.31	−	4694.29i	0.905796	−	1.06400i	−0.0918739	−	0.995771i	$-0.529286\pi$
$269$	3996.31	−	4694.29i	0.905796	−	1.06400i	0.997670	−	0.0682286i	$-0.0217347\pi$
$270$	432.542	+	3354.71i	0.0974951	+	0.756153i
$271$	2051.03	−	197.861i	0.459746	−	0.0443512i	0.136446	−	0.990648i	$-0.456432\pi$
$271$	2051.03	−	197.861i	0.459746	−	0.0443512i	0.323301	+	0.946296i	$0.395208\pi$
$272$	−562.343	+	998.498i	−0.125357	+	0.222584i
$273$	2096.91	−	7065.18i	0.464874	−	1.56631i
$274$	−3237.92	+	2582.15i	−0.713905	+	0.569320i
$275$	1235.96	+	454.845i	0.271023	+	0.0997389i
$276$	−539.713	−	160.184i	−0.117706	−	0.0349346i
$277$	3791.17	−	612.927i	0.822345	−	0.132950i	0.266075	−	0.963952i	$-0.414273\pi$
$277$	3791.17	−	612.927i	0.822345	−	0.132950i	0.556269	+	0.831002i	$0.312232\pi$
$278$	106.091	+	288.285i	0.0228883	+	0.0621949i
$279$	2552.13	+	1129.75i	0.547643	+	0.242425i
$280$	979.890	+	4293.18i	0.209142	+	0.916309i
$281$	−3645.72	−	7570.43i	−0.773970	−	1.60717i	−0.794415	−	0.607375i	$-0.792222\pi$
$281$	−3645.72	−	7570.43i	−0.773970	−	1.60717i	0.0204446	−	0.999791i	$-0.493492\pi$
$282$	20.6778	−	214.347i	0.00436646	−	0.0452629i
$283$	−6363.74	+	4439.07i	−1.33670	+	0.932421i	−0.999958	−	0.00917740i	$-0.997079\pi$
$283$	−6363.74	+	4439.07i	−1.33670	+	0.932421i	−0.336738	+	0.941598i	$0.609324\pi$
$284$	1318.92	+	1051.81i	0.275576	+	0.219765i
$285$	3356.09	+	5536.23i	0.697536	+	1.15066i
$286$	1034.32	−	5311.02i	0.213849	−	1.09807i
$287$	−138.666	+	376.801i	−0.0285199	+	0.0774978i
$288$	−2159.71	+	2230.08i	−0.441883	+	0.456280i
$289$	3128.59	+	3029.87i	0.636798	+	0.616704i
$290$	−4169.14	−	5227.94i	−0.844209	−	1.05860i
$291$	−7437.19	+	11425.5i	−1.49820	+	2.30164i
$292$	−47.8176	−	744.798i	−0.00958327	−	0.149267i
$293$	−5926.77	+	1967.82i	−1.18173	+	0.392360i	−0.837453	−	0.546509i	$-0.815956\pi$
$293$	−5926.77	+	1967.82i	−1.18173	+	0.392360i	−0.344273	+	0.938869i	$0.611875\pi$
$294$	0.0765955	−	0.0431378i	1.51944e−5	−	8.55730e-6i
$295$	613.954	−	19.6883i	0.121172	−	0.00388575i
$296$	−1147.75	+	36.8061i	−0.225377	+	0.00722740i
$297$	5372.81	−	3025.91i	1.04970	−	0.591182i
$298$	1320.07	−	438.293i	0.256609	−	0.0852000i
$299$	126.775	+	1974.63i	0.0245204	+	0.381925i
$300$	−215.096	+	330.446i	−0.0413953	+	0.0635943i
$301$	939.847	+	1178.53i	0.179973	+	0.225679i
$302$	−6058.48	−	5867.32i	−1.15439	−	1.11797i
$303$	3260.12	−	3366.34i	0.618115	−	0.638255i
$304$	1321.98	−	3592.25i	0.249411	−	0.677730i
$305$	−1315.76	+	6756.16i	−0.247018	+	1.26838i
$306$	1340.15	+	2210.72i	0.250364	+	0.413002i
$307$	−2394.91	−	1909.88i	−0.445227	−	0.355056i	0.375068	−	0.926997i	$-0.377619\pi$
$307$	−2394.91	−	1909.88i	−0.445227	−	0.355056i	−0.820295	+	0.571941i	$0.806191\pi$
$308$	1103.31	−	769.623i	0.204114	−	0.142381i
$309$	911.197	−	9445.51i	0.167755	−	1.73895i
$310$	691.856	+	1436.65i	0.126757	+	0.263214i
$311$	−499.323	−	2187.68i	−0.0910419	−	0.398881i	0.908789	−	0.417255i	$-0.137008\pi$
$311$	−499.323	−	2187.68i	−0.0910419	−	0.398881i	−0.999831	+	0.0183748i	$0.994151\pi$
$312$	8839.57	+	3913.02i	1.60398	+	0.710035i
$313$	566.138	+	1538.38i	0.102236	+	0.277809i	0.979250	−	0.202656i	$-0.0649574\pi$
$313$	566.138	+	1538.38i	0.102236	+	0.277809i	−0.877013	+	0.480466i	$0.840468\pi$
$314$	3295.71	−	532.824i	0.592317	−	0.0957612i
$315$	7525.49	+	2233.53i	1.34607	+	0.399508i
$316$	804.009	+	295.883i	0.143130	+	0.0526731i
$317$	−6568.18	+	5237.95i	−1.16374	+	0.928052i	−0.998307	−	0.0581689i	$-0.981474\pi$
$317$	−6568.18	+	5237.95i	−1.16374	+	0.928052i	−0.165434	+	0.986221i	$0.552902\pi$
$318$	−4045.48	+	13630.6i	−0.713394	+	2.40366i
$319$	−5981.88	+	10621.4i	−1.04991	+	1.86422i
$320$	−5547.35	+	535.147i	−0.969083	+	0.0934863i
$321$	−911.108	−	7066.37i	−0.158421	−	1.22868i
$322$	1265.23	−	1486.21i	0.218971	−	0.257215i
$323$	1528.00	+	1065.87i	0.263221	+	0.183612i
$324$	−10.4967	−	35.3670i	−0.00179985	−	0.00606430i
$325$	1351.04	+	308.365i	0.230591	+	0.0526308i
$326$	470.767	−	977.557i	0.0799796	−	0.166079i
$327$	−8003.92	−	4852.02i	−1.35357	−	0.820542i
$328$	−466.932	−	243.598i	−0.0786037	−	0.0410075i
$329$	−163.953	−	92.3368i	−0.0274743	−	0.0154732i
$330$	9184.13	+	1788.61i	1.53203	+	0.298363i
$331$	6575.56	+	4280.21i	1.09192	+	0.710761i	0.959860	−	0.280481i	$-0.0904939\pi$
$331$	6575.56	+	4280.21i	1.09192	+	0.710761i	0.132060	+	0.991242i	$0.457841\pi$
$332$	−273.373	−	1690.91i	−0.0451907	−	0.279520i
$333$	−946.843	+	1814.92i	−0.155816	+	0.298670i
$334$	−2218.33	+	1888.49i	−0.363418	+	0.309383i
$335$	−3701.94	−	970.764i	−0.603757	−	0.158324i
$336$	−2827.66	−	6984.37i	−0.459111	−	1.13401i
$337$	158.547	+	604.608i	0.0256279	+	0.0977303i	0.978874	−	0.204466i	$-0.0655456\pi$
$337$	158.547	+	604.608i	0.0256279	+	0.0977303i	−0.953246	+	0.302196i	$0.902280\pi$
$338$	8.96285	−	139.604i	0.00144235	−	0.0224658i
$339$	−7356.55	−	5490.34i	−1.17862	−	0.879629i
$340$	59.4125	−	367.487i	0.00947675	−	0.0586171i
$341$	1954.32	−	2151.92i	0.310358	−	0.341739i
$342$	−5597.59	−	6575.25i	−0.885038	−	1.03962i
$343$	−609.985	−	6323.13i	−0.0960236	−	0.995385i
$344$	−1690.83	+	1024.99i	−0.265010	+	0.160651i
$345$	−3414.64	+	219.227i	−0.532864	+	0.0342110i
$346$	4246.08	−	1562.60i	0.659741	−	0.242791i
$347$	−5853.03	+	9655.19i	−0.905496	+	1.49371i	−0.0362438	+	0.999343i	$0.511539\pi$
$347$	−5853.03	+	9655.19i	−0.905496	+	1.49371i	−0.869253	+	0.494368i	$0.835399\pi$
$348$	−2701.63	−	2453.55i	−0.416157	−	0.377943i
$349$	2593.59	−	7811.48i	0.397799	−	1.19811i	−0.537200	−	0.843455i	$-0.680518\pi$
$349$	2593.59	−	7811.48i	0.397799	−	1.19811i	0.934999	−	0.354651i	$-0.115400\pi$
$350$	−745.727	−	1145.64i	−0.113888	−	0.174963i
$351$	5199.84	−	3880.74i	0.790731	−	0.590138i
$352$	1495.55	+	2866.70i	0.226458	+	0.434078i
$353$	2357.68	+	954.520i	0.355487	+	0.143921i	0.546046	−	0.837755i	$-0.316132\pi$
$353$	2357.68	+	954.520i	0.355487	+	0.143921i	−0.190560	+	0.981676i	$0.561030\pi$
$354$	−1305.63	+	254.272i	−0.196027	+	0.0381763i
$355$	9730.63	+	3230.79i	1.45478	+	0.483021i
$356$	−590.654	+	2252.42i	−0.0879342	+	0.335331i
$357$	3637.30	−	468.977i	0.539233	−	0.0695264i
$358$	7064.57	−	8858.69i	1.04294	−	1.30781i
$359$	−3918.77	−	11802.7i	−0.576113	−	1.73516i	−0.672779	−	0.739843i	$-0.734900\pi$
$359$	−3918.77	−	11802.7i	−0.576113	−	1.73516i	0.0966661	−	0.995317i	$-0.469182\pi$
$360$	−4167.96	+	9415.49i	−0.610197	+	1.37844i
$361$	573.057	+	275.970i	0.0835481	+	0.0402347i
$362$	−7105.09	−	1148.70i	−1.03159	−	0.166779i
$363$	−1127.28	−	5788.36i	−0.162995	−	0.836943i
$364$	1047.84	−	951.625i	0.150885	−	0.137029i
$365$	−1836.11	−	4147.80i	−0.263305	−	0.594810i
$366$	477.726	−	14897.3i	0.0682271	−	2.12757i
$367$	−1224.29	+	9495.35i	−0.174135	+	1.35055i	0.639327	+	0.768935i	$0.279213\pi$
$367$	−1224.29	+	9495.35i	−0.174135	+	1.35055i	−0.813461	+	0.581619i	$0.802419\pi$
$368$	1360.11	+	1497.63i	0.192665	+	0.212145i
$369$	−786.822	+	512.164i	−0.111004	+	0.0722553i
$370$	−1084.06	+	438.886i	−0.152317	+	0.0616664i
$371$	9460.19	+	8053.58i	1.32385	+	1.12701i
$372$	497.899	+	713.775i	0.0693947	+	0.0994826i
$373$	−1712.05	−	3039.91i	−0.237658	−	0.421986i	0.726557	−	0.687106i	$-0.241119\pi$
$373$	−1712.05	−	3039.91i	−0.237658	−	0.421986i	−0.964215	+	0.265120i	$0.914588\pi$
$374$	2625.05	−	599.151i	0.362937	−	0.0828379i
$375$	−2815.99	+	12337.7i	−0.387779	+	1.69897i
$376$	147.625	−	197.803i	0.0202478	−	0.0271301i
$377$	−4813.44	+	11889.3i	−0.657572	+	1.62422i
$378$	−6347.69	−	818.445i	−0.863731	−	0.111366i
$379$	6793.88	−	6579.51i	0.920787	−	0.891732i	−0.0736266	−	0.997286i	$-0.523457\pi$
$379$	6793.88	−	6579.51i	0.920787	−	0.891732i	0.994414	+	0.105553i	$0.0336614\pi$
$380$			1243.43i			0.167860i
$381$	−6504.42	−	6716.35i	−0.874623	−	0.903120i
$382$	315.496	−	139.661i	0.0422571	−	0.0187060i
$383$	3974.55	+	5325.53i	0.530261	+	0.710501i	0.983504	−	0.180886i	$-0.0578965\pi$
$383$	3974.55	+	5325.53i	0.530261	+	0.710501i	−0.453244	+	0.891387i	$0.649733\pi$
$384$	7022.07	−	1841.40i	0.933187	−	0.244710i
$385$	4677.58	−	6705.66i	0.619199	−	0.887668i
$386$	−1656.62	−	159.812i	−0.218445	−	0.0210731i
$387$	112.972	+	3522.89i	0.0148390	+	0.462735i
$388$	−2359.08	+	1136.08i	−0.308671	+	0.148648i
$389$	−5463.04	+	1621.40i	−0.712050	+	0.211333i	−0.620204	−	0.784441i	$-0.712950\pi$
$389$	−5463.04	+	1621.40i	−0.712050	+	0.211333i	−0.0918457	+	0.995773i	$0.529277\pi$
$390$	9825.10	+	630.792i	1.27567	+	0.0819010i
$391$	−872.991	+	455.439i	−0.112913	+	0.0589067i
$392$	0.100705	+	0.00322942i	1.29755e−5	+	4.16098e-7i
$393$	−148.304			−0.0190355
$394$	4322.48	+	5492.44i	0.552699	+	0.702297i
$395$	5206.96			0.663268
$396$	3143.87	+	100.818i	0.398953	+	0.0127936i
$397$	−2384.61	+	1244.05i	−0.301462	+	0.157272i	−0.606536	−	0.795056i	$-0.707441\pi$
$397$	−2384.61	+	1244.05i	−0.301462	+	0.157272i	0.305074	+	0.952329i	$0.401319\pi$
$398$	10252.6	+	658.237i	1.29124	+	0.0829006i
$399$	−11743.7	+	3485.46i	−1.47348	+	0.437322i
$400$	1276.54	−	614.751i	0.159568	−	0.0768439i
$401$	316.315	+	9863.86i	0.0393916	+	1.22837i	0.808205	+	0.588901i	$0.200439\pi$
$401$	316.315	+	9863.86i	0.0393916	+	1.22837i	−0.768814	+	0.639473i	$0.779153\pi$
$402$	8249.07	+	795.778i	1.02345	+	0.0987308i
$403$	1749.94	−	2508.68i	0.216305	−	0.310090i
$404$	870.619	−	228.303i	0.107215	−	0.0281151i
$405$	−134.108	−	179.692i	−0.0164540	−	0.0220469i
$406$	11569.7	−	5121.54i	1.41427	−	0.626054i
$407$	1483.24	+	1531.57i	0.180642	+	0.186528i
$408$			4810.53i			0.583718i
$409$	−6113.28	+	5920.38i	−0.739077	+	0.715756i	−0.966110	−	0.258131i	$-0.916893\pi$
$409$	−6113.28	+	5920.38i	−0.739077	+	0.715756i	0.227033	+	0.973887i	$0.427097\pi$
$410$	−531.970	−	68.5900i	−0.0640784	−	0.00826199i
$411$	−5155.26	+	12733.6i	−0.618711	+	1.52823i
$412$	1090.10	−	1460.63i	0.130353	−	0.174661i
$413$	−258.637	+	1133.16i	−0.0308152	+	0.135010i
$414$	4449.47	−	1015.56i	0.528212	−	0.120561i
$415$	−5108.56	−	9070.76i	−0.604263	−	1.07293i
$416$	1946.47	+	2790.41i	0.229408	+	0.328873i
$417$	775.887	+	660.522i	0.0911160	+	0.0775682i
$418$	−8336.49	+	3375.07i	−0.975482	+	0.394929i
$419$	12218.2	−	7953.18i	1.42458	−	0.927299i	0.424822	−	0.905277i	$-0.360337\pi$
$419$	12218.2	−	7953.18i	1.42458	−	0.927299i	0.999757	−	0.0220217i	$-0.00701030\pi$
$420$	1645.60	+	1811.99i	0.191184	+	0.210515i
$421$	−1642.78	+	12741.0i	−0.190176	+	1.47497i	0.568061	+	0.822987i	$0.307694\pi$
$421$	−1642.78	+	12741.0i	−0.190176	+	1.47497i	−0.758237	+	0.651980i	$0.773939\pi$
$422$	75.2064	−	2345.21i	0.00867534	−	0.270529i
$423$	−178.098	−	402.327i	−0.0204715	−	0.0462455i
$424$	−12064.0	+	10956.2i	−1.38179	+	1.25490i
$425$	131.823	+	676.885i	0.0150456	+	0.0772558i
$426$	−21917.6	−	3543.46i	−2.49274	−	0.403007i
$427$	−11734.2	−	5650.90i	−1.32988	−	0.640436i
$428$	553.919	−	1251.31i	0.0625577	−	0.141319i
$429$	−5655.60	−	17033.8i	−0.636492	−	1.91701i
$430$	−1255.55	+	1574.40i	−0.140809	+	0.176569i
$431$	9436.96	−	1216.76i	1.05467	−	0.135984i	0.419031	−	0.907972i	$-0.362370\pi$
$431$	9436.96	−	1216.76i	1.05467	−	0.135984i	0.635638	+	0.771988i	$0.280737\pi$
$432$	1682.70	−	6416.87i	0.187405	−	0.714658i
$433$	13909.2	+	4618.17i	1.54372	+	0.512552i	0.955208	−	0.295934i	$-0.0956309\pi$
$433$	13909.2	+	4618.17i	1.54372	+	0.512552i	0.588516	+	0.808486i	$0.299712\pi$
$434$	−2961.55	+	576.762i	−0.327556	+	0.0637914i
$435$	−20559.6	−	8323.68i	−2.26611	−	0.917448i
$436$	−831.493	−	1593.82i	−0.0913332	−	0.175069i
$437$	2635.82	−	1967.17i	0.288532	−	0.215337i
$438$	5358.50	+	8232.10i	0.584564	+	0.898047i
$439$	440.372	−	1326.33i	0.0478765	−	0.144197i	−0.922375	−	0.386296i	$-0.873754\pi$
$439$	440.372	−	1326.33i	0.0478765	−	0.144197i	0.970251	+	0.242099i	$0.0778360\pi$
$440$	7938.99	+	7209.98i	0.860174	+	0.781188i
$441$	0.0931096	−	0.153594i	1.00539e−5	−	1.65850e-5i
$442$	2658.85	−	978.482i	0.286128	−	0.105298i
$443$	13396.2	−	860.067i	1.43674	−	0.0922415i	0.673895	−	0.738827i	$-0.264620\pi$
$443$	13396.2	−	860.067i	1.43674	−	0.0922415i	0.762841	+	0.646586i	$0.223804\pi$
$444$	−545.838	+	330.890i	−0.0583431	+	0.0353679i
$445$	1358.97	+	14087.1i	0.144767	+	1.50066i
$446$	−5749.18	−	6753.31i	−0.610384	−	0.716992i
$447$	3101.88	−	3415.52i	0.328219	−	0.361406i
$448$	1683.03	−	10410.1i	0.177490	−	1.09784i
$449$	8472.44	+	6323.15i	0.890511	+	0.664605i	0.942559	−	0.334039i	$-0.108412\pi$
$449$	8472.44	+	6323.15i	0.890511	+	0.664605i	−0.0520486	+	0.998645i	$0.516575\pi$
$450$	204.790	−	3189.76i	0.0214531	−	0.334149i
$451$	248.027	+	945.835i	0.0258961	+	0.0987530i
$452$	−661.615	−	1634.20i	−0.0688490	−	0.170058i
$453$	−27061.0	−	7096.24i	−2.80671	−	0.736005i
$454$	−7744.19	+	6592.73i	−0.800557	+	0.681524i
$455$	3979.17	−	7627.33i	0.409992	−	0.785879i
$456$	−2564.50	−	15862.3i	−0.263363	−	1.62900i
$457$	−2939.42	−	1913.35i	−0.300876	−	0.195848i	0.386236	−	0.922400i	$-0.373775\pi$
$457$	−2939.42	−	1913.35i	−0.300876	−	0.195848i	−0.687112	+	0.726551i	$0.741122\pi$
$458$	5565.06	+	1083.79i	0.567769	+	0.110573i
$459$	2813.29	+	1584.41i	0.286085	+	0.161120i
$460$	−582.657	−	303.972i	−0.0590576	−	0.0308103i
$461$	3665.33	+	2221.94i	0.370306	+	0.224482i	0.691249	−	0.722617i	$-0.257061\pi$
$461$	3665.33	+	2221.94i	0.370306	+	0.224482i	−0.320942	+	0.947099i	$0.604000\pi$
$462$	−7681.67	+	15951.1i	−0.773557	+	1.60631i
$463$	−8976.50	−	2048.83i	−0.901022	−	0.205652i	−0.253173	−	0.967421i	$-0.581474\pi$
$463$	−8976.50	−	2048.83i	−0.901022	−	0.205652i	−0.647849	+	0.761769i	$0.724331\pi$
$464$	3731.39	+	12572.3i	0.373331	+	1.25788i
$465$	4338.15	+	3026.11i	0.432639	+	0.301790i
$466$	−9090.52	+	10678.2i	−0.903670	+	1.06150i
$467$	−311.423	−	2415.33i	−0.0308585	−	0.239332i	0.969115	−	0.246609i	$-0.0793164\pi$
$467$	−311.423	−	2415.33i	−0.0308585	−	0.239332i	−0.999974	+	0.00727668i	$0.997684\pi$
$468$	3294.46	−	317.813i	0.325399	−	0.0313908i
$469$	3553.56	−	6309.70i	0.349868	−	0.621226i
$470$	71.5225	−	240.983i	0.00701933	−	0.0236505i
$471$	8658.09	−	6904.59i	0.847014	−	0.675471i
$472$	−1430.78	−	526.541i	−0.139528	−	0.0513475i
$473$	3519.33	+	1044.52i	0.342112	+	0.101537i
$474$	−11130.8	+	1799.55i	−1.07860	+	0.174379i
$475$	−795.525	−	2161.70i	−0.0768446	−	0.208812i
$476$	644.092	+	285.121i	0.0620209	+	0.0274548i
$477$	6464.37	+	28322.2i	0.620509	+	2.71863i
$478$	4227.80	+	8779.12i	0.404550	+	0.840057i
$479$	−594.471	+	6162.32i	−0.0567058	+	0.587815i	0.922645	+	0.385649i	$0.126023\pi$
$479$	−594.471	+	6162.32i	−0.0567058	+	0.587815i	−0.979351	+	0.202166i	$0.935202\pi$
$480$	−4825.34	+	3365.95i	−0.458845	+	0.320071i
$481$	1753.97	+	1398.74i	0.166266	+	0.132593i
$482$	3813.17	+	6290.23i	0.360343	+	0.594423i
$483$	1237.64	−	6355.00i	0.116593	−	0.598680i
$484$	391.169	−	1062.93i	0.0367364	−	0.0998247i
$485$	−11071.0	+	11431.7i	−1.03651	+	1.07029i
$486$	7051.51	+	6829.00i	0.658154	+	0.637387i
$487$	8308.49	+	10418.5i	0.773088	+	0.969422i	0.999990	−	0.00449607i	$-0.00143115\pi$
$487$	8308.49	+	10418.5i	0.773088	+	0.969422i	−0.226902	+	0.973918i	$0.572860\pi$
$488$	9319.68	−	14317.5i	0.864513	−	1.32812i
$489$	−230.593	−	3591.67i	−0.0213247	−	0.332149i
$490$	0.0973886	−	0.0323352i	8.97871e−6	−	2.98114e-6i
$491$	−3308.00	+	1863.03i	−0.304049	+	0.171237i	−0.635215	−	0.772335i	$-0.719089\pi$
$491$	−3308.00	+	1863.03i	−0.304049	+	0.171237i	0.331166	+	0.943572i	$0.392558\pi$
$492$	−292.589	+	9.38277i	−0.0268109	+	0.000859772i
$493$	−6379.64	+	204.583i	−0.582808	+	0.0186895i
$494$	−8245.72	+	4643.90i	−0.750997	+	0.422954i
$495$	18143.6	−	6024.08i	1.64746	−	0.546994i
$496$	−200.368	−	3120.89i	−0.0181387	−	0.282524i
$497$	−10583.6	+	16259.2i	−0.955208	+	1.46746i
$498$	14055.3	+	17624.8i	1.26473	+	1.58592i
$499$	−3120.30	−	3021.85i	−0.279928	−	0.271095i	0.542386	−	0.840130i	$-0.317521\pi$
$499$	−3120.30	−	3021.85i	−0.279928	−	0.271095i	−0.822314	+	0.569035i	$0.807317\pi$
$500$	−1690.90	+	1745.99i	−0.151239	+	0.156167i
$501$	−3337.52	+	9069.11i	−0.297623	+	0.808738i
$502$	−433.352	+	2225.17i	−0.0385288	+	0.197837i
$503$	6463.17	+	10661.7i	0.572920	+	0.945091i	0.999180	+	0.0404902i	$0.0128920\pi$
$503$	6463.17	+	10661.7i	0.572920	+	0.945091i	−0.426260	+	0.904601i	$0.640169\pi$
$504$	−15232.6	−	12147.6i	−1.34626	−	1.07361i
$505$	4486.60	−	3129.66i	0.395349	−	0.275778i
$506$	456.437	−	4731.45i	0.0401010	−	0.415689i
$507$	−201.336	−	418.078i	−0.0176363	−	0.0366223i
$508$	−399.591	−	1750.72i	−0.0348995	−	0.152905i
$509$	8188.77	+	3624.93i	0.713086	+	0.315662i	0.729288	−	0.684207i	$-0.239851\pi$
$509$	8188.77	+	3624.93i	0.713086	+	0.315662i	−0.0162020	+	0.999869i	$0.505157\pi$
$510$	1692.05	+	4597.84i	0.146912	+	0.399207i
$511$	8472.92	−	1369.84i	0.733503	−	0.118587i
$512$	12375.1	+	3672.87i	1.06818	+	0.317030i
$513$	−10121.2	−	3724.71i	−0.871079	−	0.320565i
$514$	−10793.3	+	8607.36i	−0.926210	+	0.738627i
$515$	3151.75	−	10619.3i	0.269675	−	0.908625i
$516$	−539.323	+	957.622i	−0.0460123	+	0.0816996i
$517$	−456.137	+	44.0030i	−0.0388025	+	0.00374323i
$518$	−282.986	−	2194.78i	−0.0240033	−	0.186165i
$519$	9728.67	−	11427.9i	0.822816	−	0.966526i
$520$	9255.17	+	6456.01i	0.780512	+	0.544451i
$521$	−4196.67	−	14140.0i	−0.352897	−	1.18903i	−0.928511	−	0.371306i	$-0.878910\pi$
$521$	−4196.67	−	14140.0i	−0.352897	−	1.18903i	0.575613	−	0.817722i	$-0.304763\pi$
$522$	28843.3	+	6583.30i	2.41846	+	0.551998i
$523$	−74.6527	+	155.018i	−0.00624156	+	0.0129607i	−0.904066	−	0.427392i	$-0.859432\pi$
$523$	−74.6527	+	155.018i	−0.00624156	+	0.0129607i	0.897825	+	0.440353i	$0.145147\pi$
$524$	−24.3578	−	14.7659i	−0.00203068	−	0.00123101i
$525$	−4020.15	−	2097.31i	−0.334197	−	0.174351i
$526$	−7754.00	−	4366.97i	−0.642757	−	0.361994i
$527$	1494.03	+	290.963i	0.123494	+	0.0240504i
$528$	−15379.4	−	10010.9i	−1.26762	−	0.825130i
$529$	−1664.42	−	10295.0i	−0.136798	−	0.846144i
$530$	−7676.86	+	14715.1i	−0.629173	+	1.20601i
$531$	−2069.44	+	1761.74i	−0.169126	+	0.143979i
$532$	−2275.84	−	596.796i	−0.185470	−	0.0486361i
$533$	386.105	+	953.687i	0.0313772	+	0.0775024i
$534$	−7773.59	−	29644.1i	−0.629956	−	2.40229i
$535$	532.873	−	8299.92i	0.0430619	−	0.670723i
$536$	7612.41	+	5681.29i	0.613444	+	0.457825i
$537$	5998.55	−	37103.2i	0.482042	−	2.98160i
$538$	−10476.8	+	11536.2i	−0.839570	+	0.924460i
$539$	−0.121264	−	0.142444i	−9.69059e−6	−	1.13831e-5i
$540$	206.926	+	2145.01i	0.0164902	+	0.170938i
$541$	−15997.1	+	9697.55i	−1.27129	+	0.770666i	−0.982417	−	0.186700i	$-0.940221\pi$
$541$	−15997.1	+	9697.55i	−1.27129	+	0.770666i	−0.288877	+	0.957366i	$0.593282\pi$
$542$	−5197.88	+	333.715i	−0.411934	+	0.0264470i
$543$	−22405.2	+	8245.33i	−1.77072	+	0.651641i
$544$	−877.660	+	1447.79i	−0.0691716	+	0.114106i
$545$	−8088.15	−	7345.44i	−0.635703	−	0.577329i
$546$	−5870.17	+	17680.0i	−0.460110	+	1.38578i
$547$	−9237.91	−	14191.9i	−0.722092	−	1.10933i	−0.989329	−	0.145697i	$-0.953458\pi$
$547$	−9237.91	−	14191.9i	−0.722092	−	1.10933i	0.267237	−	0.963631i	$-0.413889\pi$
$548$	−2114.53	+	1578.12i	−0.164833	+	0.123018i
$549$	−14086.0	−	27000.1i	−1.09503	−	2.09898i
$550$	−3085.76	−	1249.29i	−0.239231	−	0.0968540i
$551$	20927.3	−	4075.59i	1.61803	−	0.315110i
$552$	8059.81	+	2676.04i	0.621464	+	0.206340i
$553$	−2499.13	+	9530.25i	−0.192177	+	0.732853i
$554$	−9627.91	+	1241.38i	−0.738359	+	0.0952008i
$555$	−2418.79	+	3033.06i	−0.184994	+	0.231975i
$556$	61.6689	+	185.737i	0.00470386	+	0.0141673i
$557$	−9898.01	+	22359.8i	−0.752948	+	1.70092i	−0.0405190	+	0.999179i	$0.512901\pi$
$557$	−9898.01	+	22359.8i	−0.752948	+	1.70092i	−0.712429	+	0.701744i	$0.752405\pi$
$558$	−6356.34	−	3061.05i	−0.482232	−	0.232231i
$559$	3813.27	+	616.500i	0.288523	+	0.0466461i
$560$	−1681.40	−	8633.63i	−0.126879	−	0.651495i
$561$	6611.77	−	6004.63i	0.497592	−	0.451900i
$562$	8597.44	+	19421.8i	0.645304	+	1.45775i
$563$	486.716	−	15177.6i	0.0364345	−	1.13616i	−0.804131	−	0.594452i	$-0.797369\pi$
$563$	486.716	−	15177.6i	0.0364345	−	1.13616i	0.840565	−	0.541710i	$-0.182223\pi$
$564$	17.5439	−	136.067i	0.00130981	−	0.0101586i
$565$	−7203.97	−	7932.37i	−0.536413	−	0.590650i
$566$	16437.4	−	10699.6i	1.22070	−	0.794586i
$567$	393.255	−	159.211i	0.0291273	−	0.0117923i
$568$	−19376.9	−	16495.8i	−1.43140	−	1.21857i
$569$	4033.52	+	5782.35i	0.297177	+	0.426026i	0.940616	−	0.339471i	$-0.110248\pi$
$569$	4033.52	+	5782.35i	0.297177	+	0.426026i	−0.643439	+	0.765497i	$0.722493\pi$
$570$	−8030.51	−	14259.0i	−0.590107	−	1.04779i
$571$	17083.2	−	3899.13i	1.25203	−	0.285768i	0.455430	−	0.890272i	$-0.349486\pi$
$571$	17083.2	−	3899.13i	1.25203	−	0.285768i	0.796603	+	0.604503i	$0.206628\pi$
$572$	767.073	−	3360.77i	0.0560716	−	0.245666i
$573$	684.528	−	917.205i	0.0499067	−	0.0668705i
$574$	380.863	−	940.739i	0.0276950	−	0.0684071i
$575$	1207.42	+	155.679i	0.0875702	+	0.0112909i
$576$	17712.8	−	17153.9i	1.28131	−	1.24088i
$577$		−	22943.5i		−	1.65537i	−0.561190	−	0.827687i	$-0.689656\pi$
$577$		−	22943.5i		−	1.65537i	0.561190	−	0.827687i	$-0.310344\pi$
$578$	−7658.78	−	7908.32i	−0.551148	−	0.569105i
$579$	−5048.16	+	2234.67i	−0.362339	+	0.160397i
$580$	−2548.02	−	3414.12i	−0.182415	−	0.244420i
$581$	19054.0	−	4996.55i	1.36057	−	0.356784i
$582$	19715.5	−	28263.6i	1.40418	−	2.01300i
$583$	30117.1	+	2905.36i	2.13949	+	0.206394i
$584$	360.844	+	11252.4i	0.0255682	+	0.797311i
$585$	18123.8	−	8727.96i	1.28090	−	0.616849i
$586$	15133.2	−	4491.45i	1.06680	−	0.316622i
$587$	−13935.3	−	894.675i	−0.979848	−	0.0629084i	−0.434106	−	0.900862i	$-0.642936\pi$
$587$	−13935.3	−	894.675i	−0.979848	−	0.0629084i	−0.545742	+	0.837953i	$0.683752\pi$
$588$	0.0496544	−	0.0259047i	3.48251e−6	−	1.81682e-6i
$589$	−5081.57	−	162.956i	−0.355488	−	0.0113998i
$590$	−1552.73			−0.108347
$591$	21433.4	+	8838.54i	1.49179	+	0.615176i
$592$	2293.72			0.159242
$593$	5268.44	+	168.949i	0.364838	+	0.0116996i	0.213932	−	0.976848i	$-0.431373\pi$
$593$	5268.44	+	168.949i	0.364838	+	0.0116996i	0.150906	+	0.988548i	$0.451781\pi$
$594$	−13819.4	+	7209.55i	−0.954570	+	0.497999i
$595$	4272.24	+	274.287i	0.294361	+	0.0188986i
$596$	849.527	−	252.135i	0.0583859	−	0.0173286i
$597$	30703.9	−	14786.2i	2.10490	−	1.01367i
$598$	−160.311	−	4999.09i	−0.0109626	−	0.341853i
$599$	−11479.7	−	1107.44i	−0.783054	−	0.0755403i	−0.303244	−	0.952913i	$-0.598070\pi$
$599$	−11479.7	−	1107.44i	−0.783054	−	0.0755403i	−0.479810	+	0.877373i	$0.659294\pi$
$600$	3402.78	−	4878.14i	0.231530	−	0.331915i
$601$	−13933.4	+	3653.78i	−0.945685	+	0.247988i	−0.694125	−	0.719854i	$-0.744209\pi$
$601$	−13933.4	+	3653.78i	−0.945685	+	0.247988i	−0.251560	+	0.967842i	$0.580943\pi$
$602$	−2279.01	−	3053.66i	−0.154295	−	0.206741i
$603$	15483.5	−	6854.07i	1.04566	−	0.462884i
$604$	−3738.04	−	3859.83i	−0.251819	−	0.260024i
$605$		−	6883.82i		−	0.462590i
$606$	−8509.30	+	8240.80i	−0.570407	+	0.552409i
$607$	12169.1	+	1569.03i	0.813722	+	0.104918i	0.523483	−	0.852036i	$-0.324632\pi$
$607$	12169.1	+	1569.03i	0.813722	+	0.104918i	0.290239	+	0.956954i	$0.406265\pi$
$608$	2122.19	−	5241.86i	0.141556	−	0.349647i
$609$	25102.5	−	33635.1i	1.67029	−	2.23803i
$610$	3871.60	−	16962.6i	0.256978	−	1.12589i
$611$	−470.098	+	107.297i	−0.0311262	+	0.00710436i
$612$	808.224	+	1435.08i	0.0533832	+	0.0947873i
$613$	−16946.2	−	24293.7i	−1.11656	−	1.60067i	−0.737570	−	0.675270i	$-0.764027\pi$
$613$	−16946.2	−	24293.7i	−1.11656	−	1.60067i	−0.378989	−	0.925401i	$-0.623728\pi$
$614$	5895.91	+	5019.26i	0.387524	+	0.329904i
$615$	−1649.17	+	667.675i	−0.108132	+	0.0437777i
$616$	−17006.7	+	11070.2i	−1.11237	+	0.724074i
$617$	5383.75	+	5928.11i	0.351283	+	0.386802i	0.890210	−	0.455551i	$-0.150558\pi$
$617$	5383.75	+	5928.11i	0.351283	+	0.386802i	−0.538927	+	0.842353i	$0.681170\pi$
$618$	−3067.37	+	23789.9i	−0.199656	+	1.54850i
$619$	101.196	−	3155.67i	0.00657094	−	0.204906i	−0.990936	−	0.134336i	$-0.957110\pi$
$619$	101.196	−	3155.67i	0.00657094	−	0.204906i	0.997507	−	0.0705704i	$-0.0224819\pi$
$620$	411.215	+	928.943i	0.0266368	+	0.0601729i
$621$	4219.61	−	3832.13i	0.272668	−	0.247630i
$622$	1084.28	+	5567.54i	0.0698965	+	0.358904i
$623$	−26435.7	−	4273.93i	−1.70004	−	0.274849i
$624$	−17396.8	−	8377.85i	−1.11607	−	0.537472i
$625$	−4502.18	+	10170.5i	−0.288139	+	0.650912i
$626$	−1305.69	−	3932.52i	−0.0833639	−	0.251079i
$627$	−18600.7	+	23324.5i	−1.18475	+	1.48563i
$628$	2109.48	−	271.987i	0.134040	−	0.0172826i
$629$	−283.175	+	1079.87i	−0.0179506	+	0.0684535i
$630$	−18831.9	−	6252.63i	−1.19092	−	0.395414i
$631$	−30.8021	+	5.99871i	−0.00194328	+	0.000378454i	−0.192130	−	0.981369i	$-0.561540\pi$
$631$	−30.8021	+	5.99871i	−0.00194328	+	0.000378454i	0.190187	+	0.981748i	$0.439091\pi$
$632$	−11979.0	−	4849.76i	−0.753954	−	0.305242i
$633$	−3600.07	−	6900.65i	−0.226050	−	0.433296i
$634$	17018.6	−	12701.3i	1.06608	−	0.795638i
$635$	−5954.02	−	9146.97i	−0.372091	−	0.571632i
$636$	−2854.37	+	8596.90i	−0.177961	+	0.535989i
$637$	−0.145717	−	0.132336i	−9.06358e−6	−	8.23130e-6i
$638$	15973.5	−	26350.0i	0.991220	−	1.63512i
$639$	−42572.0	+	15666.9i	−2.63556	+	0.969910i
$640$	8456.75	−	542.941i	0.522316	−	0.0335338i
$641$	1828.28	−	1108.31i	0.112656	−	0.0682929i	−0.460939	−	0.887432i	$-0.652487\pi$
$641$	1828.28	−	1108.31i	0.112656	−	0.0682929i	0.573595	+	0.819139i	$0.305548\pi$
$642$	1729.37	+	17926.7i	0.106313	+	1.10204i
$643$	12055.4	+	14160.9i	0.739373	+	0.868510i	0.995164	−	0.0982224i	$-0.0313157\pi$
$643$	12055.4	+	14160.9i	0.739373	+	0.868510i	−0.255792	+	0.966732i	$0.582336\pi$
$644$	836.007	−	920.536i	0.0511542	−	0.0563264i
$645$	−1066.09	+	6594.13i	−0.0650809	+	0.402548i
$646$	−3774.09	−	2816.68i	−0.229860	−	0.171549i
$647$	−1503.09	+	23411.9i	−0.0913333	+	1.42259i	0.654301	+	0.756234i	$0.272963\pi$
$647$	−1503.09	+	23411.9i	−0.0913333	+	1.42259i	−0.745634	+	0.666356i	$0.767853\pi$
$648$	141.160	+	538.303i	0.00855753	+	0.0326336i
$649$	1062.24	+	2623.76i	0.0642476	+	0.158693i
$650$	−3388.36	−	888.531i	−0.204465	−	0.0536170i
$651$	−7620.78	+	6487.66i	−0.458805	+	0.390586i
$652$	319.731	−	612.864i	0.0192049	−	0.0368123i
$653$	978.971	+	6055.28i	0.0586678	+	0.362881i	0.999698	+	0.0245596i	$0.00781834\pi$
$653$	978.971	+	6055.28i	0.0586678	+	0.362881i	−0.941031	+	0.338322i	$0.890141\pi$
$654$	19828.5	+	12906.9i	1.18556	+	0.771713i
$655$	−169.926	−	33.0931i	−0.0101367	−	0.00197413i
$656$	916.587	+	516.212i	0.0545529	+	0.0307236i
$657$	17793.3	+	9282.78i	1.05660	+	0.551226i
$658$	406.741	+	246.569i	0.0240979	+	0.0146083i
$659$	−143.271	+	297.504i	−0.00846893	+	0.0175859i	−0.905160	−	0.425070i	$-0.860249\pi$
$659$	−143.271	+	297.504i	−0.00846893	+	0.0175859i	0.896691	+	0.442656i	$0.145964\pi$
$660$	5811.63	+	1326.47i	0.342754	+	0.0782313i
$661$	6243.62	+	21036.8i	0.367396	+	1.23788i	0.915790	+	0.401658i	$0.131566\pi$
$661$	6243.62	+	21036.8i	0.367396	+	1.23788i	−0.548394	+	0.836220i	$0.684760\pi$
$662$	−16266.1	−	11346.5i	−0.954986	−	0.666157i
$663$	6092.00	−	7156.01i	0.356853	−	0.419180i
$664$	3304.11	+	25626.0i	0.193109	+	1.49771i
$665$	−14233.6	+	1373.10i	−0.830008	+	0.0800699i
$666$	2539.20	−	4508.61i	0.147736	−	0.262320i
$667$	−3206.15	+	10802.6i	−0.186121	+	0.627103i
$668$	−1451.13	+	1157.23i	−0.0840505	+	0.0670281i
$669$	−27609.2	−	10160.5i	−1.59557	−	0.587184i
$670$	9274.17	+	2752.52i	0.534765	+	0.158715i
$671$	−31311.6	+	5062.22i	−1.80145	+	0.291244i
$672$	−3844.70	−	10447.3i	−0.220703	−	0.599722i
$673$	−346.637	−	153.446i	−0.0198542	−	0.00878886i	0.394832	−	0.918753i	$-0.370803\pi$
$673$	−346.637	−	153.446i	−0.0198542	−	0.00878886i	−0.414687	+	0.909964i	$0.636109\pi$
$674$	−351.578	−	1540.37i	−0.0200924	−	0.0880307i
$675$	−1732.07	−	3596.69i	−0.0987667	−	0.205091i
$676$	8.55795	−	88.7121i	0.000486911	−	0.00504734i
$677$	−6323.85	+	4411.24i	−0.359003	+	0.250425i	−0.737748	−	0.675076i	$-0.764111\pi$
$677$	−6323.85	+	4411.24i	−0.359003	+	0.250425i	0.378745	+	0.925501i	$0.376356\pi$
$678$	18141.2	+	14467.2i	1.02760	+	0.819480i
$679$	−15609.8	−	25749.9i	−0.882250	−	1.45536i
$680$	−1073.44	+	5511.88i	−0.0605360	+	0.310840i
$681$	−11651.3	+	31660.2i	−0.655620	+	1.78153i
$682$	−5111.85	+	5278.41i	−0.287013	+	0.296364i
$683$	3373.44	+	3266.99i	0.188991	+	0.183028i	0.784133	−	0.620593i	$-0.213108\pi$
$683$	3373.44	+	3266.99i	0.188991	+	0.183028i	−0.595142	+	0.803621i	$0.702904\pi$
$684$	−3430.10	−	4301.21i	−0.191744	−	0.240440i
$685$	−8748.29	+	13439.7i	−0.487963	+	0.749643i
$686$	1028.81	+	16024.6i	0.0572598	+	0.891868i
$687$	17848.5	−	5926.12i	0.991213	−	0.329105i
$688$	3441.20	−	1938.05i	0.190689	−	0.107394i
$689$	31820.7	−	1020.43i	1.75947	−	0.0564227i
$690$	8644.72	−	277.219i	0.476955	−	0.0152950i
$691$	−4118.62	+	2319.56i	−0.226743	+	0.127699i	−0.599918	−	0.800062i	$-0.704800\pi$
$691$	−4118.62	+	2319.56i	−0.226743	+	0.127699i	0.373174	+	0.927761i	$0.378269\pi$
$692$	2735.67	−	908.306i	0.150281	−	0.0498969i
$693$	2317.65	+	36099.3i	0.127042	+	1.97878i
$694$	15569.7	−	23919.3i	0.851612	−	1.30830i
$695$	741.616	+	929.957i	0.0404764	+	0.0507558i
$696$	39546.3	+	38298.4i	2.15373	+	2.08577i
$697$	−356.189	+	367.794i	−0.0193567	+	0.0199874i
$698$	−7185.49	+	19525.3i	−0.389649	+	1.05880i
$699$	−8892.25	+	45659.8i	−0.481167	+	2.47069i
$700$	−451.461	−	744.733i	−0.0243766	−	0.0402118i
$701$	−13168.6	−	10501.6i	−0.709516	−	0.565820i	0.200851	−	0.979622i	$-0.435629\pi$
$701$	−13168.6	−	10501.6i	−0.709516	−	0.565820i	−0.910367	+	0.413802i	$0.864201\pi$
$702$	−13451.6	+	9383.26i	−0.723217	+	0.504485i
$703$	358.068	−	3711.75i	0.0192102	−	0.199134i
$704$	−11142.8	−	23138.3i	−0.596536	−	1.23872i
$705$	−185.544	−	812.921i	−0.00991203	−	0.0434275i
$706$	−5879.26	−	2602.57i	−0.313412	−	0.138738i
$707$	3574.80	+	9713.89i	0.190162	+	0.516730i
$708$	−836.577	+	135.251i	−0.0444075	+	0.00717945i
$709$	6556.28	+	1945.87i	0.347287	+	0.103073i	0.453465	−	0.891274i	$-0.350188\pi$
$709$	6556.28	+	1945.87i	0.347287	+	0.103073i	−0.106178	+	0.994347i	$0.533861\pi$
$710$	−24322.3	−	8950.84i	−1.28563	−	0.473125i
$711$	−18011.6	+	14363.8i	−0.950054	+	0.757643i
$712$	9994.31	−	33674.1i	0.526057	−	1.77246i
$713$	1318.61	−	2341.32i	0.0692598	−	0.122978i
$714$	−9227.49	+	890.165i	−0.483656	+	0.0466577i
$715$	−2679.18	−	20779.2i	−0.140134	−	1.08685i
$716$	4679.39	−	5496.67i	0.244241	−	0.286900i
$717$	26509.6	+	18492.0i	1.38078	+	0.963173i
$718$	8944.37	+	30136.6i	0.464904	+	1.56642i
$719$	−25162.8	−	5743.25i	−1.30517	−	0.297896i	−0.487265	−	0.873254i	$-0.662006\pi$
$719$	−25162.8	−	5743.25i	−1.30517	−	0.297896i	−0.817902	+	0.575358i	$0.804863\pi$
$720$	8923.69	−	18530.2i	0.461898	−	0.959141i
$721$	17923.7	+	10865.4i	0.925814	+	0.561234i
$722$	−1425.45	−	743.655i	−0.0734760	−	0.0383324i
$723$	21259.9	+	11973.4i	1.09359	+	0.615898i
$724$	−4500.84	−	876.538i	−0.231039	−	0.0449948i
$725$	6614.01	+	4305.24i	0.338811	+	0.220542i
$726$	2379.07	+	14715.4i	0.121619	+	0.752259i
$727$	−16147.1	+	30951.0i	−0.823747	+	1.57897i	−0.00842168	+	0.999965i	$0.502681\pi$
$727$	−16147.1	+	30951.0i	−0.823747	+	1.57897i	−0.815325	+	0.579004i	$0.803442\pi$
$728$	−16258.5	+	13841.0i	−0.827718	+	0.704646i
$729$	30898.2	+	8102.47i	1.56979	+	0.411648i
$730$	4302.80	+	10628.0i	0.218156	+	0.538850i
$731$	487.582	+	1859.36i	0.0246701	+	0.0940779i
$732$	608.401	−	9476.34i	0.0307201	−	0.478491i
$733$	−1864.67	−	1391.64i	−0.0939609	−	0.0701248i	0.550101	−	0.835098i	$-0.314589\pi$
$733$	−1864.67	−	1391.64i	−0.0939609	−	0.0701248i	−0.644062	+	0.764973i	$0.722752\pi$
$734$	3862.43	−	23890.5i	0.194230	−	1.20138i
$735$	0.228843	−	0.251981i	1.14844e−5	−	1.26455e-5i
$736$	1937.47	+	2275.87i	0.0970328	+	0.113980i
$737$	−1693.44	−	17554.3i	−0.0846388	−	0.877370i
$738$	2029.37	−	1230.22i	0.101222	−	0.0613616i
$739$	−28009.6	+	1798.28i	−1.39425	+	0.0895138i	−0.742970	−	0.669325i	$-0.766584\pi$
$739$	−28009.6	+	1798.28i	−1.39425	+	0.0895138i	−0.651279	+	0.758838i	$0.725767\pi$
$740$	−699.254	+	257.332i	−0.0347366	+	0.0127834i
$741$	−16273.0	+	26844.0i	−0.806752	+	1.33082i
$742$	−23248.3	−	21113.5i	−1.15023	−	1.04461i
$743$	−4526.41	+	13632.8i	−0.223496	+	0.673135i	0.775624	+	0.631195i	$0.217435\pi$
$743$	−4526.41	+	13632.8i	−0.223496	+	0.673135i	−0.999120	+	0.0419398i	$0.986646\pi$
$744$	−7161.71	−	11002.3i	−0.352905	−	0.542157i
$745$	4316.27	−	3221.32i	0.212263	−	0.158416i
$746$	4079.13	+	7818.94i	0.200198	+	0.383742i
$747$	42693.5	+	17284.7i	2.09113	+	0.846605i
$748$	1683.78	−	327.917i	0.0823065	−	0.0160292i
$749$	14935.5	+	4958.93i	0.728613	+	0.241916i
$750$	8114.07	−	30942.5i	0.395045	−	1.50648i
$751$	−26741.5	+	3447.93i	−1.29935	+	0.167532i	−0.746296	−	0.665615i	$-0.768170\pi$
$751$	−26741.5	+	3447.93i	−1.29935	+	0.167532i	−0.553052	+	0.833147i	$0.686537\pi$
$752$	−307.381	+	385.443i	−0.0149056	+	0.0186911i
$753$	2369.54	+	7136.67i	0.114676	+	0.345385i
$754$	13124.2	−	29647.9i	0.633894	−	1.43198i
$755$	−29422.9	−	14169.3i	−1.41829	−	0.683013i
$756$	−4025.30	−	650.779i	−0.193649	−	0.0313077i
$757$	642.537	+	3299.29i	0.0308499	+	0.158408i	0.993783	−	0.111331i	$-0.0355115\pi$
$757$	642.537	+	3299.29i	0.0308499	+	0.158408i	−0.962933	+	0.269739i	$0.913063\pi$
$758$	−17697.5	+	16072.4i	−0.848026	+	0.770155i
$759$	−6382.42	−	14418.0i	−0.305227	−	0.689513i
$760$	601.188	−	18747.2i	0.0286939	−	0.894781i
$761$	−656.145	+	5088.93i	−0.0312552	+	0.242409i	−0.999984	−	0.00571394i	$-0.998181\pi$
$761$	−656.145	+	5088.93i	−0.0312552	+	0.242409i	0.968728	+	0.248123i	$0.0798138\pi$
$762$	15889.0	+	17495.6i	0.755379	+	0.831756i
$763$	17326.3	−	11278.1i	0.822087	−	0.535119i
$764$	203.750	−	82.4892i	0.00964845	−	0.00390622i
$765$	7622.24	+	6488.91i	0.360239	+	0.306676i
$766$	−9610.07	−	13776.8i	−0.453298	−	0.649836i
$767$	1461.58	+	2595.19i	0.0688067	+	0.122173i
$768$	19346.4	−	4415.68i	0.908987	−	0.207470i
$769$	4504.73	−	19736.5i	0.211241	−	0.925509i	−0.752484	−	0.658611i	$-0.771144\pi$
$769$	4504.73	−	19736.5i	0.211241	−	0.925509i	0.963725	−	0.266898i	$-0.0859986\pi$
$770$	−12361.0	+	16562.6i	−0.578519	+	0.775163i
$771$	−17184.6	+	42446.2i	−0.802707	+	1.98270i
$772$	−1051.62	−	135.591i	−0.0490266	−	0.00632128i
$773$	25994.4	−	25174.1i	1.20951	−	1.17135i	0.229307	−	0.973354i	$-0.426354\pi$
$773$	25994.4	−	25174.1i	1.20951	−	1.17135i	0.980204	−	0.197992i	$-0.0634420\pi$
$774$		−	8909.60i		−	0.413758i
$775$	−1309.21	−	1351.87i	−0.0606817	−	0.0626589i
$776$	36117.2	−	15988.0i	1.67079	−	0.739608i
$777$	−4390.47	−	5882.82i	−0.202712	−	0.271615i
$778$	13933.5	−	3653.80i	0.642084	−	0.168374i
$779$	978.432	−	1402.66i	0.0450013	−	0.0645127i
$780$	6243.43	+	602.296i	0.286603	+	0.0276483i
$781$	1514.34	+	47222.7i	0.0693820	+	2.16359i
$782$	2242.48	−	1079.92i	0.102546	−	0.0493835i
$783$	35422.7	−	10513.3i	1.61674	−	0.479839i
$784$	−0.200841	−	0.0128944i	−9.14910e−6	−	5.87392e-7i
$785$	11461.1	−	5979.25i	0.521101	−	0.271858i
$786$	374.684	+	12.0154i	0.0170032	+	0.000545261i
$787$	24619.9			1.11513			0.557564	−	0.830134i	$-0.311736\pi$
$787$	24619.9			1.11513			0.557564	+	0.830134i	$0.311736\pi$
$788$	2640.26	+	3585.67i	0.119360	+	0.162099i
$789$	−29519.3			−1.33196
$790$	−13155.2	−	421.862i	−0.592457	−	0.0189989i
$791$	17976.1	−	9378.14i	0.808038	−	0.421553i
$792$	−47351.4	−	3040.06i	−2.12444	−	0.136394i
$793$	−31995.2	+	9496.02i	−1.43277	+	0.425238i
$794$	6125.42	−	2949.85i	0.273782	−	0.131847i
$795$	1764.59	+	55026.3i	0.0787213	+	2.45482i
$796$	6515.07	+	628.500i	0.290101	+	0.0279857i
$797$	23343.8	−	33465.1i	1.03749	−	1.48732i	0.172839	−	0.984950i	$-0.444706\pi$
$797$	23343.8	−	33465.1i	1.03749	−	1.48732i	0.864652	−	0.502371i	$-0.167539\pi$
$798$	29952.4	−	7854.43i	1.32870	−	0.348426i
$799$	−143.516	−	192.299i	−0.00635450	−	0.00851445i
$800$	1914.10	−	847.317i	0.0845922	−	0.0374465i
$801$	−43561.2	−	44980.5i	−1.92155	−	1.98415i
$802$		−	24946.3i		−	1.09836i
$803$	15015.4	−	14541.6i	0.659876	−	0.639054i
$804$	5236.49	+	675.171i	0.229698	+	0.0296162i
$805$	2836.15	−	7005.35i	0.124175	−	0.306716i
$806$	−4624.42	+	6196.30i	−0.202095	+	0.270788i
$807$	−11502.6	+	50396.0i	−0.501747	+	2.19830i
$808$	−13236.7	+	3021.19i	−0.576319	+	0.131541i
$809$	−5066.75	−	8996.52i	−0.220194	−	0.390977i	0.739008	−	0.673696i	$-0.235294\pi$
$809$	−5066.75	−	8996.52i	−0.220194	−	0.390977i	−0.959203	+	0.282719i	$0.908764\pi$
$810$	324.260	+	464.852i	0.0140659	+	0.0201645i
$811$	22606.2	+	19245.0i	0.978807	+	0.833270i	0.986007	−	0.166704i	$-0.0533124\pi$
$811$	22606.2	+	19245.0i	0.978807	+	0.833270i	−0.00720031	+	0.999974i	$0.502292\pi$
$812$	7471.77	−	3024.98i	0.322916	−	0.130734i
$813$	−14479.9	+	9425.40i	−0.624642	+	0.406597i
$814$	−3623.26	−	3989.61i	−0.156014	−	0.171788i
$815$	537.246	−	4166.77i	0.0230907	−	0.179087i
$816$	307.973	−	9603.74i	0.0132123	−	0.412007i
$817$	−2598.99	−	5871.16i	−0.111294	−	0.251415i
$818$	15924.6	−	14462.3i	0.680675	−	0.618171i
$819$	7276.03	+	37360.9i	0.310433	+	1.59401i
$820$	−337.341	−	54.5387i	−0.0143664	−	0.00232265i
$821$	32918.6	+	15852.8i	1.39935	+	0.673892i	0.973030	−	0.230679i	$-0.0740948\pi$
$821$	32918.6	+	15852.8i	1.39935	+	0.673892i	0.426322	+	0.904572i	$0.359809\pi$
$822$	14056.2	−	31753.3i	0.596432	−	1.34735i
$823$	−10277.6	−	30954.5i	−0.435304	−	1.31106i	−0.903935	−	0.427671i	$-0.859334\pi$
$823$	−10277.6	−	30954.5i	−0.435304	−	1.31106i	0.468631	−	0.883394i	$-0.344747\pi$
$824$	−17141.6	+	21494.9i	−0.724704	+	0.908750i
$825$	−10952.1	+	1412.12i	−0.462187	+	0.0595924i
$826$	745.244	−	2841.94i	0.0313927	−	0.119714i
$827$	−26124.4	−	8673.91i	−1.09847	−	0.364717i	−0.292256	−	0.956340i	$-0.594406\pi$
$827$	−26124.4	−	8673.91i	−1.09847	−	0.364717i	−0.806215	+	0.591623i	$0.798488\pi$
$828$	2854.02	−	555.820i	0.119787	−	0.0233286i
$829$	−27546.7	−	11152.4i	−1.15408	−	0.467237i	−0.283363	−	0.959013i	$-0.591450\pi$
$829$	−27546.7	−	11152.4i	−1.15408	−	0.467237i	−0.870722	+	0.491776i	$0.836348\pi$
$830$	12171.7	+	23330.8i	0.509018	+	0.975692i
$831$	−25806.3	+	19259.8i	−1.07727	+	0.803988i
$832$	−14741.9	−	22647.5i	−0.614283	−	0.943704i
$833$	0.0308658	−	0.0929629i	1.28384e−6	−	3.86672e-6i
$834$	−1906.73	−	1731.65i	−0.0791665	−	0.0718969i
$835$	−5847.82	+	9646.59i	−0.242362	+	0.399801i
$836$	−5377.33	+	1978.91i	−0.222463	+	0.0818684i
$837$	−8793.16	+	564.540i	−0.363126	+	0.0233134i
$838$	−31513.2	+	19103.5i	−1.29905	+	0.787493i
$839$	739.473	+	7665.41i	0.0304284	+	0.315422i	0.998020	+	0.0629011i	$0.0200353\pi$
$839$	739.473	+	7665.41i	0.0304284	+	0.315422i	−0.967591	+	0.252521i	$0.918740\pi$
$840$	−23934.7	−	28115.1i	−0.983126	−	1.15484i
$841$	−32712.1	+	36019.6i	−1.34126	+	1.47688i
$842$	5182.68	−	32056.7i	0.212122	−	1.31205i
$843$	56462.6	+	42139.1i	2.30685	+	1.72165i
$844$	95.7781	−	1491.82i	0.00390618	−	0.0608419i
$845$	−137.398	−	523.958i	−0.00559365	−	0.0213310i
$846$	417.363	+	1030.89i	0.0169613	+	0.0418946i
$847$	12599.4	+	3303.95i	0.511121	+	0.134032i
$848$	24785.9	−	21100.5i	1.00372	−	0.854475i
$849$	30091.8	−	57680.3i	1.21643	−	2.33167i
$850$	−278.206	−	1720.80i	−0.0112263	−	0.0694389i
$851$	1651.74	+	1075.17i	0.0665347	+	0.0433093i
$852$	−13884.0	−	2703.92i	−0.558286	−	0.108726i
$853$	−2644.50	−	1489.35i	−0.106150	−	0.0597825i	0.436731	−	0.899592i	$-0.356136\pi$
$853$	−2644.50	−	1489.35i	−0.106150	−	0.0597825i	−0.542881	+	0.839809i	$0.682667\pi$
$854$	29188.2	+	15227.5i	1.16956	+	0.610157i
$855$	−28593.0	−	17333.2i	−1.14369	−	0.693314i
$856$	−8956.44	+	18598.2i	−0.357623	+	0.742611i
$857$	−1935.80	−	441.834i	−0.0771596	−	0.0176112i	0.183767	−	0.982970i	$-0.441171\pi$
$857$	−1935.80	−	441.834i	−0.0771596	−	0.0176112i	−0.260926	+	0.965359i	$0.584028\pi$
$858$	12908.6	+	43493.4i	0.513628	+	1.73058i
$859$	14992.3	+	10458.0i	0.595494	+	0.415391i	0.830832	−	0.556523i	$-0.187865\pi$
$859$	14992.3	+	10458.0i	0.595494	+	0.415391i	−0.235338	+	0.971913i	$0.575620\pi$
$860$	−831.640	+	976.892i	−0.0329752	+	0.0387346i
$861$	−430.505	−	3338.91i	−0.0170402	−	0.132160i
$862$	−23940.7	+	2309.53i	−0.945967	+	0.0912563i
$863$	−5533.74	+	9825.72i	−0.218274	+	0.387568i	−0.958633	−	0.284643i	$-0.908125\pi$
$863$	−5533.74	+	9825.72i	−0.218274	+	0.387568i	0.740359	+	0.672211i	$0.234655\pi$
$864$	2788.60	−	9395.72i	0.109803	−	0.369964i
$865$	13697.1	−	10923.1i	0.538400	−	0.429359i
$866$	−34766.9	−	12794.5i	−1.36423	−	0.502050i
$867$	−35008.6	−	10390.4i	−1.37134	−	0.407007i
$868$	−1897.60	+	306.789i	−0.0742036	+	0.0119967i
$869$	8286.82	+	22518.0i	0.323488	+	0.879021i
$870$	51268.8	+	22695.2i	1.99790	+	0.884412i
$871$	−4129.29	−	18091.6i	−0.160638	−	0.703800i
$872$	11765.8	+	24432.0i	0.456928	+	0.948821i
$873$	6760.94	−	70084.3i	0.262111	−	2.71706i
$874$	−6818.69	+	4756.42i	−0.263896	+	0.184083i
$875$	−21853.7	−	17427.7i	−0.844330	−	0.673331i
$876$	3244.02	+	5351.35i	0.125120	+	0.206399i
$877$	−2163.06	+	11106.9i	−0.0832856	+	0.427654i	0.916343	+	0.400395i	$0.131127\pi$
$877$	−2163.06	+	11106.9i	−0.0832856	+	0.427654i	−0.999628	+	0.0272592i	$0.991322\pi$
$878$	−1220.04	+	3315.24i	−0.0468956	+	0.127431i
$879$	36427.6	−	37614.5i	1.39781	−	1.44335i
$880$	−15387.8	−	14902.3i	−0.589458	−	0.570858i
$881$	15592.9	+	19552.9i	0.596299	+	0.747736i	0.984796	−	0.173714i	$-0.0555770\pi$
$881$	15592.9	+	19552.9i	0.596299	+	0.747736i	−0.388497	+	0.921450i	$0.627006\pi$
$882$	−0.247682	+	0.380506i	−9.45564e−6	+	1.45264e-5i
$883$	−1305.32	−	20331.4i	−0.0497481	−	0.774866i	−0.944543	−	0.328388i	$-0.893495\pi$
$883$	−1305.32	−	20331.4i	−0.0497481	−	0.774866i	0.894795	−	0.446478i	$-0.147322\pi$
$884$	1713.05	−	568.772i	0.0651767	−	0.0216401i
$885$	−4487.75	+	2527.46i	−0.170457	+	0.0959994i
$886$	−33914.8	+	1087.58i	−1.28599	+	0.0412393i
$887$	−27037.8	+	867.049i	−1.02350	+	0.0328215i	−0.539279	−	0.842127i	$-0.681303\pi$
$887$	−27037.8	+	867.049i	−1.02350	+	0.0328215i	−0.484216	+	0.874949i	$0.660895\pi$
$888$	8389.58	−	4724.92i	0.317045	−	0.178556i
$889$	19599.3	−	6507.41i	0.739414	−	0.245502i
$890$	−2292.06	−	35700.7i	−0.0863258	−	1.34459i
$891$	563.664	−	865.940i	0.0211936	−	0.0325590i
$892$	−3522.99	−	4417.69i	−0.132240	−	0.165824i
$893$	575.748	+	557.581i	0.0215752	+	0.0208944i
$894$	−8113.51	+	8377.87i	−0.303531	+	0.313420i
$895$	15152.4	−	41174.1i	0.565911	−	1.53776i
$896$	−3065.15	+	15738.9i	−0.114285	+	0.586830i
$897$	−8600.63	−	14187.6i	−0.320141	−	0.528107i
$898$	−20893.0	−	16661.6i	−0.776402	−	0.619160i
$899$	14286.5	−	9965.64i	0.530012	−	0.369714i
$900$	195.538	−	2026.96i	0.00724215	−	0.0750725i
$901$	6874.02	+	14274.1i	0.254170	+	0.527789i
$902$	−550.001	−	2409.71i	−0.0203027	−	0.0889519i
$903$	−11557.5	−	5116.16i	−0.425924	−	0.188544i
$904$	9185.05	+	24958.7i	0.337932	+	0.918269i
$905$	−27511.7	+	4447.88i	−1.01052	+	0.163373i
$906$	67793.8	+	20120.8i	2.48598	+	0.737826i
$907$	21522.8	+	7920.58i	0.787929	+	0.289965i	0.707425	−	0.706789i	$-0.249857\pi$
$907$	21522.8	+	7920.58i	0.787929	+	0.289965i	0.0805049	+	0.996754i	$0.474347\pi$
$908$	−5065.88	+	4039.90i	−0.185151	+	0.147653i
$909$	−6886.40	+	23202.6i	−0.251273	+	0.846623i
$910$	−10671.2	+	18947.8i	−0.388732	+	0.690234i
$911$	−22217.7	+	2143.31i	−0.808019	+	0.0779486i	−0.491767	−	0.870727i	$-0.663649\pi$
$911$	−22217.7	+	2143.31i	−0.808019	+	0.0779486i	−0.316252	+	0.948675i	$0.602424\pi$
$912$	4104.25	+	31831.7i	0.149019	+	1.15576i
$913$	31097.1	−	36528.4i	1.12723	−	1.32411i
$914$	7271.32	+	5072.15i	0.263144	+	0.183558i
$915$	−16421.1	−	55328.0i	−0.593294	−	1.99900i
$916$	3521.52	+	803.764i	0.127024	+	0.0289925i
$917$	142.127	−	295.130i	0.00511827	−	0.0106282i
$918$	−6979.30	−	4230.89i	−0.250927	−	0.152114i
$919$	−13814.2	−	7206.85i	−0.495852	−	0.258686i	0.196160	−	0.980572i	$-0.437153\pi$
$919$	−13814.2	−	7206.85i	−0.495852	−	0.258686i	−0.692012	+	0.721886i	$0.743275\pi$
$920$	8637.75	+	4864.69i	0.309541	+	0.174330i
$921$	25210.7	+	4909.79i	0.901978	+	0.175660i
$922$	−9080.29	−	5910.61i	−0.324342	−	0.211123i
$923$	7934.42	+	49077.2i	0.282952	+	1.75016i
$924$	−5217.16	+	10000.3i	−0.185749	+	0.356046i
$925$	1051.01	−	894.739i	0.0373590	−	0.0318041i
$926$	22512.8	+	5903.55i	0.798938	+	0.209506i
$927$	18391.7	+	45427.9i	0.651633	+	1.60955i
$928$	4914.58	+	18741.4i	0.173846	+	0.662950i
$929$	−2506.31	+	39037.7i	−0.0885137	+	1.37867i	0.677346	+	0.735664i	$0.263130\pi$
$929$	−2506.31	+	39037.7i	−0.0885137	+	1.37867i	−0.765860	+	0.643008i	$0.777686\pi$
$930$	−10715.0	−	7996.81i	−0.377805	−	0.281963i
$931$	−0.0522189	+	0.322992i	−1.83824e−6	+	1.13702e-5i
$932$	−6006.60	+	6613.93i	−0.211108	+	0.232453i
$933$	12196.4	+	14326.6i	0.427967	+	0.502714i
$934$	591.110	+	6127.48i	0.0207085	+	0.214665i
$935$	8915.63	−	5404.71i	0.311842	−	0.189040i
$936$	−49824.3	+	3198.83i	−1.73991	+	0.111706i
$937$	−9330.14	+	3433.58i	−0.325296	+	0.119712i	−0.502787	−	0.864411i	$-0.667692\pi$
$937$	−9330.14	+	3433.58i	−0.325296	+	0.119712i	0.177491	+	0.984122i	$0.443202\pi$
$938$	−9489.13	+	15653.3i	−0.330310	+	0.544881i
$939$	−10174.9	−	9240.61i	−0.353617	−	0.321146i
$940$	50.4641	−	151.990i	0.00175102	−	0.00527379i
$941$	−9641.47	−	14811.9i	−0.334010	−	0.513129i	0.630846	−	0.775908i	$-0.282708\pi$
$941$	−9641.47	−	14811.9i	−0.334010	−	0.513129i	−0.964856	+	0.262779i	$0.915361\pi$
$942$	−22433.7	+	16742.7i	−0.775935	+	0.579095i
$943$	418.078	+	801.376i	0.0144374	+	0.0276738i
$944$	2822.70	+	1142.78i	0.0973210	+	0.0394009i
$945$	−24325.4	+	4737.38i	−0.837361	+	0.163076i
$946$	−8806.83	−	2924.07i	−0.302679	−	0.100497i
$947$	−13218.1	+	50406.4i	−0.453571	+	1.72966i	0.206490	+	0.978449i	$0.433796\pi$
$947$	−13218.1	+	50406.4i	−0.453571	+	1.72966i	−0.660060	+	0.751213i	$0.729469\pi$
$948$	−7124.50	+	918.603i	−0.244085	+	0.0314713i
$949$	13713.2	−	17195.8i	0.469071	−	0.588197i
$950$	1834.73	+	5525.90i	0.0626593	+	0.188720i
$951$	28513.3	−	64412.1i	0.972248	−	2.19632i
$952$	−9573.13	−	4610.18i	−0.325911	−	0.156950i
$953$	−14186.5	−	2293.57i	−0.482211	−	0.0779601i	−0.0863387	−	0.996266i	$-0.527517\pi$
$953$	−14186.5	−	2293.57i	−0.482211	−	0.0779601i	−0.395872	+	0.918306i	$0.629558\pi$
$954$	−14037.3	−	72078.8i	−0.476390	−	2.44616i
$955$	988.997	−	898.181i	0.0335112	−	0.0304340i
$956$	2512.86	+	5676.59i	0.0850122	+	0.192044i
$957$	3276.04	−	102159.i	0.110658	−	3.45071i
$958$	2001.17	−	15520.7i	0.0674895	−	0.523435i
$959$	−20399.8	−	22462.4i	−0.686906	−	0.756359i
$960$	39163.4	−	25492.5i	1.31666	−	0.857050i
$961$	23763.6	−	9620.80i	0.797676	−	0.322943i
$962$	−4318.01	−	3675.98i	−0.144717	−	0.123200i
$963$	21052.7	+	30180.6i	0.704478	+	1.00992i
$964$	2299.66	+	4083.28i	0.0768330	+	0.136425i
$965$	−6282.81	+	1434.01i	−0.209586	+	0.0478367i
$966$	−3641.71	+	15955.4i	−0.121294	+	0.531425i
$967$	−1216.78	+	1630.38i	−0.0404645	+	0.0542187i	−0.821187	−	0.570659i	$-0.806688\pi$
$967$	−1216.78	+	1630.38i	−0.0404645	+	0.0542187i	0.780723	+	0.624878i	$0.214851\pi$
$968$	−6411.58	+	15836.7i	−0.212888	+	0.525838i
$969$	−15492.9	−	1997.59i	−0.513626	−	0.0662247i
$970$	28896.7	−	27984.9i	0.956513	−	0.926332i
$971$		−	39681.6i		−	1.31147i	−0.754989	−	0.655737i	$-0.772358\pi$
$971$		−	39681.6i		−	1.31147i	0.754989	−	0.655737i	$-0.227642\pi$
$972$	4350.73	+	4492.48i	0.143570	+	0.148247i
$973$	−2058.04	+	911.031i	−0.0678084	+	0.0300168i
$974$	−20147.0	−	26995.1i	−0.662784	−	0.888070i
$975$	−11239.5	+	2947.34i	−0.369181	+	0.0968107i
$976$	−19522.4	+	27986.8i	−0.640264	+	0.917866i
$977$	−33552.1	−	3236.73i	−1.09870	−	0.105990i	−0.469274	−	0.883052i	$-0.655484\pi$
$977$	−33552.1	−	3236.73i	−1.09870	−	0.105990i	−0.629424	+	0.777062i	$0.716709\pi$
$978$	291.592	+	9092.90i	0.00953381	+	0.297299i
$979$	−58758.1	+	28296.4i	−1.91820	+	0.923757i
$980$	0.0626742	−	0.0186014i	2.04291e−6	−	6.06326e-7i
$981$	48241.0	+	3097.17i	1.57005	+	0.100800i
$982$	8508.48	−	4438.87i	0.276494	−	0.144247i
$983$	19035.9	+	610.444i	0.617651	+	0.0198069i	0.339309	−	0.940675i	$-0.389807\pi$
$983$	19035.9	+	610.444i	0.617651	+	0.0198069i	0.278342	+	0.960482i	$0.410215\pi$
$984$	4415.91			0.143063
$985$	22586.0	+	14909.9i	0.730608	+	0.482302i
$986$	16134.5			0.521122
$987$	1576.93	+	50.5692i	0.0508554	+	0.00163084i
$988$	−5345.44	+	2788.71i	−0.172127	+	0.0897983i
$989$	3386.50	+	217.421i	0.108882	+	0.00699047i
$990$	−46327.1	+	13749.6i	−1.48724	+	0.441406i
$991$	9187.11	−	4424.28i	0.294489	−	0.141818i	−0.280806	−	0.959765i	$-0.590602\pi$
$991$	9187.11	−	4424.28i	0.294489	−	0.141818i	0.575295	+	0.817946i	$0.304887\pi$
$992$	−148.087	−	4617.91i	−0.00473970	−	0.147801i
$993$	−65482.4	−	6317.01i	−2.09267	−	0.201877i
$994$	28056.3	−	40220.8i	0.895264	−	1.28343i
$995$	38479.8	−	10090.6i	1.22602	−	0.321500i
$996$	8590.09	+	11509.9i	0.273281	+	0.366171i
$997$	9702.26	−	4294.90i	0.308198	−	0.136430i	−0.244895	−	0.969550i	$-0.578753\pi$
$997$	9702.26	−	4294.90i	0.308198	−	0.136430i	0.553093	+	0.833119i	$0.313447\pi$
$998$	7638.50	+	7887.38i	0.242277	+	0.250171i
$999$		−	6462.60i		−	0.204672i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.4.h.a.4.16	✓	2016
197.148	even	98	inner	197.4.h.a.148.16	yes	2016

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.4.h.a.4.16	✓	2016	1.1	even	1	trivial
197.4.h.a.148.16	yes	2016	197.148	even	98	inner

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Hilbert	Bianchi

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

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Twists

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

Label	197.4.h.a.4.16

Level	$197$
Weight	$4$
Character	197.4
Analytic conductor	$11.623$
Analytic rank	$0$
Dimension	$2016$
Inner twists	$2$