LMFDB - Embedded newform 207.4.o.a.11.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [207,4,Mod(5,207)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(207, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([55, 3]))

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

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

chi := DirichletCharacter("207.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

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

Embedding invariants

Embedding label			11.16
Character	$\chi$	$=$	207.11
Dual form			207.4.o.a.113.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-3.77052 + 0.179612i) q^{2} +(-3.02932 - 4.22176i) q^{3} +(6.22080 - 0.594015i) q^{4} +(15.7958 + 15.0613i) q^{5} +(12.1804 + 15.3741i) q^{6} +(3.50340 + 18.1774i) q^{7} +(6.54202 - 0.940600i) q^{8} +(-8.64649 + 25.5781i) q^{9} +(-62.2637 - 53.9518i) q^{10} +(-8.85675 + 4.56597i) q^{11} +(-21.3526 - 24.4633i) q^{12} +(24.9348 + 4.80578i) q^{13} +(-16.4745 - 67.9089i) q^{14} +(15.7346 - 112.312i) q^{15} +(-73.5873 + 14.1828i) q^{16} +(-16.2050 - 35.4840i) q^{17} +(28.0076 - 97.9957i) q^{18} +(12.7489 + 5.82223i) q^{19} +(107.209 + 84.3103i) q^{20} +(66.1275 - 69.8555i) q^{21} +(32.5745 - 18.8069i) q^{22} +(-106.696 + 27.9807i) q^{23} +(-23.7888 - 24.7694i) q^{24} +(16.7179 + 350.952i) q^{25} +(-94.8802 - 13.6417i) q^{26} +(134.177 - 40.9807i) q^{27} +(32.5916 + 110.997i) q^{28} +(12.8162 - 134.217i) q^{29} +(-39.1550 + 426.299i) q^{30} +(-94.6206 + 74.4104i) q^{31} +(223.531 - 54.2281i) q^{32} +(46.1063 + 23.5593i) q^{33} +(67.4746 + 130.882i) q^{34} +(-218.435 + 339.892i) q^{35} +(-38.5944 + 164.252i) q^{36} +(-82.7173 + 281.709i) q^{37} +(-49.1158 - 19.6630i) q^{38} +(-55.2464 - 119.827i) q^{39} +(117.503 + 83.6736i) q^{40} +(178.473 - 187.177i) q^{41} +(-236.789 + 275.269i) q^{42} +(-66.8373 + 84.9905i) q^{43} +(-52.3839 + 33.6651i) q^{44} +(-521.817 + 273.799i) q^{45} +(397.275 - 124.666i) q^{46} +(-477.691 - 275.795i) q^{47} +(282.795 + 267.703i) q^{48} +(0.287365 - 0.115043i) q^{49} +(-126.070 - 1320.27i) q^{50} +(-100.715 + 175.906i) q^{51} +(157.969 + 15.0842i) q^{52} +(190.376 + 219.706i) q^{53} +(-498.558 + 178.619i) q^{54} +(-208.669 - 61.2708i) q^{55} +(40.0169 + 115.621i) q^{56} +(-14.0404 - 71.4602i) q^{57} +(-24.2167 + 508.371i) q^{58} +(-26.7917 + 139.009i) q^{59} +(31.1670 - 708.015i) q^{60} +(-187.647 + 468.719i) q^{61} +(343.404 - 297.561i) q^{62} +(-495.234 - 67.5601i) q^{63} +(-257.842 + 75.7093i) q^{64} +(321.484 + 451.461i) q^{65} +(-178.077 - 80.5496i) q^{66} +(-16.2260 + 31.4741i) q^{67} +(-121.886 - 211.113i) q^{68} +(441.344 + 365.683i) q^{69} +(762.567 - 1320.80i) q^{70} +(46.7344 + 72.7201i) q^{71} +(-32.5067 + 175.465i) q^{72} +(-92.9007 + 203.424i) q^{73} +(261.289 - 1077.05i) q^{74} +(1430.99 - 1133.72i) q^{75} +(82.7670 + 28.6459i) q^{76} +(-114.026 - 144.996i) q^{77} +(229.830 + 441.886i) q^{78} +(1130.08 - 391.125i) q^{79} +(-1375.98 - 884.290i) q^{80} +(-579.476 - 442.321i) q^{81} +(-639.317 + 737.811i) q^{82} +(-377.060 + 359.526i) q^{83} +(369.871 - 473.838i) q^{84} +(278.463 - 804.566i) q^{85} +(236.746 - 332.463i) q^{86} +(-605.457 + 352.480i) q^{87} +(-53.6463 + 38.2013i) q^{88} +(-148.366 + 1031.91i) q^{89} +(1918.35 - 1126.09i) q^{90} +470.085i q^{91} +(-647.115 + 237.442i) q^{92} +(600.778 + 174.052i) q^{93} +(1850.68 + 954.092i) q^{94} +(113.689 + 283.982i) q^{95} +(-906.084 - 779.420i) q^{96} +(315.872 + 76.6297i) q^{97} +(-1.06285 + 0.485388i) q^{98} +(-40.2090 - 266.018i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) $ 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Character values

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

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

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−3.77052	+	0.179612i	−1.33308	+	0.0635025i	−0.701979	−	0.712197i	$-0.747700\pi$
$2$	−3.77052	+	0.179612i	−1.33308	+	0.0635025i	−0.631102	+	0.775700i	$0.717397\pi$
$3$	−3.02932	−	4.22176i	−0.582992	−	0.812478i
$3$	−3.02932	−	4.22176i	−0.582992	−	0.812478i
$4$	6.22080	−	0.594015i	0.777601	−	0.0742519i
$5$	15.7958	+	15.0613i	1.41282	+	1.34712i	0.856493	+	0.516159i	$0.172639\pi$
$5$	15.7958	+	15.0613i	1.41282	+	1.34712i	0.556328	+	0.830963i	$0.312210\pi$
$6$	12.1804	+	15.3741i	0.828770	+	1.04608i
$7$	3.50340	+	18.1774i	0.189166	+	0.981486i	0.945086	+	0.326822i	$0.105978\pi$
$7$	3.50340	+	18.1774i	0.189166	+	0.981486i	−0.755920	+	0.654664i	$0.772810\pi$
$8$	6.54202	−	0.940600i	0.289119	−	0.0415690i
$9$	−8.64649	+	25.5781i	−0.320240	+	0.947336i
$10$	−62.2637	−	53.9518i	−1.96895	−	1.70611i
$11$	−8.85675	+	4.56597i	−0.242765	+	0.125154i	−0.575316	−	0.817931i	$-0.695121\pi$
$11$	−8.85675	+	4.56597i	−0.242765	+	0.125154i	0.332551	+	0.943085i	$0.392091\pi$
$12$	−21.3526	−	24.4633i	−0.513663	−	0.588495i
$13$	24.9348	+	4.80578i	0.531974	+	0.102529i	0.448162	−	0.893952i	$-0.352079\pi$
$13$	24.9348	+	4.80578i	0.531974	+	0.102529i	0.0838111	+	0.996482i	$0.473291\pi$
$14$	−16.4745	−	67.9089i	−0.314500	−	1.29639i
$15$	15.7346	−	112.312i	0.270843	−	1.93325i
$16$	−73.5873	+	14.1828i	−1.14980	+	0.221606i
$17$	−16.2050	−	35.4840i	−0.231193	−	0.506243i	0.758108	−	0.652129i	$-0.226124\pi$
$17$	−16.2050	−	35.4840i	−0.231193	−	0.506243i	−0.989301	+	0.145886i	$0.953397\pi$
$18$	28.0076	−	97.9957i	0.366748	−	1.28321i
$19$	12.7489	+	5.82223i	0.153937	+	0.0703006i	0.490894	−	0.871220i	$-0.336670\pi$
$19$	12.7489	+	5.82223i	0.153937	+	0.0703006i	−0.336957	+	0.941520i	$0.609398\pi$
$20$	107.209	+	84.3103i	1.19864	+	0.942618i
$21$	66.1275	−	69.8555i	0.687153	−	0.725891i
$22$	32.5745	−	18.8069i	0.315677	−	0.182256i
$23$	−106.696	+	27.9807i	−0.967291	+	0.253669i
$23$	−106.696	+	27.9807i	−0.967291	+	0.253669i
$24$	−23.7888	−	24.7694i	−0.202328	−	0.210668i
$25$	16.7179	+	350.952i	0.133743	+	2.80762i
$26$	−94.8802	−	13.6417i	−0.715675	−	0.102898i
$27$	134.177	−	40.9807i	0.956387	−	0.292101i
$28$	32.5916	+	110.997i	0.219973	+	0.749158i
$29$	12.8162	−	134.217i	0.0820658	−	0.859432i	−0.856914	−	0.515459i	$-0.827621\pi$
$29$	12.8162	−	134.217i	0.0820658	−	0.859432i	0.938980	−	0.343972i	$-0.111773\pi$
$30$	−39.1550	+	426.299i	−0.238290	+	2.59437i
$31$	−94.6206	+	74.4104i	−0.548205	+	0.431113i	−0.853461	−	0.521157i	$-0.825500\pi$
$31$	−94.6206	+	74.4104i	−0.548205	+	0.431113i	0.305256	+	0.952270i	$0.401258\pi$
$32$	223.531	−	54.2281i	1.23485	−	0.299571i
$33$	46.1063	+	23.5593i	0.243215	+	0.124277i
$34$	67.4746	+	130.882i	0.340347	+	0.660181i
$35$	−218.435	+	339.892i	−1.05492	+	1.64149i
$36$	−38.5944	+	164.252i	−0.178678	+	0.760428i
$37$	−82.7173	+	281.709i	−0.367531	+	1.25170i	0.543518	+	0.839397i	$0.317092\pi$
$37$	−82.7173	+	281.709i	−0.367531	+	1.25170i	−0.911049	+	0.412298i	$0.864726\pi$
$38$	−49.1158	−	19.6630i	−0.209675	−	0.0839410i
$39$	−55.2464	−	119.827i	−0.226833	−	0.491991i
$40$	117.503	+	83.6736i	0.464472	+	0.330749i
$41$	178.473	−	187.177i	0.679824	−	0.712979i	−0.289934	−	0.957047i	$-0.593633\pi$
$41$	178.473	−	187.177i	0.679824	−	0.712979i	0.969758	+	0.244068i	$0.0784819\pi$
$42$	−236.789	+	275.269i	−0.869935	+	1.01131i
$43$	−66.8373	+	84.9905i	−0.237037	+	0.301417i	−0.889989	−	0.455982i	$-0.849288\pi$
$43$	−66.8373	+	84.9905i	−0.237037	+	0.301417i	0.652952	+	0.757399i	$0.273530\pi$
$44$	−52.3839	+	33.6651i	−0.179481	+	0.115345i
$45$	−521.817	+	273.799i	−1.72862	+	0.907014i
$46$	397.275	−	124.666i	1.27337	−	0.399586i
$47$	−477.691	−	275.795i	−1.48252	−	0.855932i	−0.482715	−	0.875777i	$-0.660349\pi$
$47$	−477.691	−	275.795i	−1.48252	−	0.855932i	−0.999803	+	0.0198453i	$0.993683\pi$
$48$	282.795	+	267.703i	0.850375	+	0.804993i
$49$	0.287365	−	0.115043i	0.000837798	−	0.000335404i
$50$	−126.070	−	1320.27i	−0.356581	−	3.73429i
$51$	−100.715	+	175.906i	−0.276527	+	0.482975i
$52$	157.969	+	15.0842i	0.421276	+	0.0402270i
$53$	190.376	+	219.706i	0.493399	+	0.569413i	0.946771	−	0.321909i	$-0.104324\pi$
$53$	190.376	+	219.706i	0.493399	+	0.569413i	−0.453372	+	0.891322i	$0.649779\pi$
$54$	−498.558	+	178.619i	−1.25639	+	0.450128i
$55$	−208.669	−	61.2708i	−0.511580	−	0.150214i
$56$	40.0169	+	115.621i	0.0954908	+	0.275903i
$57$	−14.0404	−	71.4602i	−0.0326263	−	0.166055i
$58$	−24.2167	+	508.371i	−0.0548243	+	1.15090i
$59$	−26.7917	+	139.009i	−0.0591184	+	0.306735i	−0.999437	−	0.0335609i	$-0.989315\pi$
$59$	−26.7917	+	139.009i	−0.0591184	+	0.306735i	0.940318	+	0.340296i	$0.110527\pi$
$60$	31.1670	−	708.015i	0.0670607	−	1.52340i
$61$	−187.647	+	468.719i	−0.393864	+	0.983825i	0.590398	+	0.807112i	$0.298971\pi$
$61$	−187.647	+	468.719i	−0.393864	+	0.983825i	−0.984262	+	0.176713i	$0.943454\pi$
$62$	343.404	−	297.561i	0.703425	−	0.609521i
$63$	−495.234	−	67.5601i	−0.990375	−	0.135108i
$64$	−257.842	+	75.7093i	−0.503598	+	0.147870i
$65$	321.484	+	451.461i	0.613464	+	0.861489i
$66$	−178.077	−	80.5496i	−0.332117	−	0.150227i
$67$	−16.2260	+	31.4741i	−0.0295870	+	0.0573907i	−0.903166	−	0.429292i	$-0.858763\pi$
$67$	−16.2260	+	31.4741i	−0.0295870	+	0.0573907i	0.873579	+	0.486683i	$0.161793\pi$
$68$	−121.886	−	211.113i	−0.217365	−	0.376488i
$69$	441.344	+	365.683i	0.770023	+	0.638016i
$70$	762.567	−	1320.80i	1.30206	−	2.25523i
$71$	46.7344	+	72.7201i	0.0781176	+	0.121553i	0.878114	−	0.478451i	$-0.158802\pi$
$71$	46.7344	+	72.7201i	0.0781176	+	0.121553i	−0.799996	+	0.600005i	$0.795165\pi$
$72$	−32.5067	+	175.465i	−0.0532077	+	0.287205i
$73$	−92.9007	+	203.424i	−0.148948	+	0.326151i	−0.969369	−	0.245609i	$-0.921012\pi$
$73$	−92.9007	+	203.424i	−0.148948	+	0.326151i	0.820421	+	0.571760i	$0.193739\pi$
$74$	261.289	−	1077.05i	0.410463	−	1.69195i
$75$	1430.99	−	1133.72i	2.20315	−	1.74548i
$76$	82.7670	+	28.6459i	0.124921	+	0.0432357i
$77$	−114.026	−	144.996i	−0.168759	−	0.214595i
$78$	229.830	+	441.886i	0.333630	+	0.641459i
$79$	1130.08	−	391.125i	1.60942	−	0.557026i	0.633234	−	0.773961i	$-0.281727\pi$
$79$	1130.08	−	391.125i	1.60942	−	0.557026i	0.976186	+	0.216935i	$0.0696061\pi$
$80$	−1375.98	−	884.290i	−1.92299	−	1.23583i
$81$	−579.476	−	442.321i	−0.794892	−	0.606751i
$82$	−639.317	+	737.811i	−0.860984	+	0.993629i
$83$	−377.060	+	359.526i	−0.498647	+	0.475459i	−0.897161	−	0.441703i	$-0.854374\pi$
$83$	−377.060	+	359.526i	−0.498647	+	0.475459i	0.398514	+	0.917162i	$0.369526\pi$
$84$	369.871	−	473.838i	0.480432	−	0.615476i
$85$	278.463	−	804.566i	0.355336	−	1.02668i
$86$	236.746	−	332.463i	0.296849	−	0.416866i
$87$	−605.457	+	352.480i	−0.746113	+	0.434365i
$88$	−53.6463	+	38.2013i	−0.0649853	+	0.0462759i
$89$	−148.366	+	1031.91i	−0.176706	+	1.22902i	0.687616	+	0.726075i	$0.258657\pi$
$89$	−148.366	+	1031.91i	−0.176706	+	1.22902i	−0.864321	+	0.502940i	$0.832252\pi$
$90$	1918.35	−	1126.09i	2.24679	−	1.31889i
$91$			470.085i			0.541519i
$92$	−647.115	+	237.442i	−0.733331	+	0.269076i
$93$	600.778	+	174.052i	0.669869	+	0.194069i
$94$	1850.68	+	954.092i	2.03067	+	1.04688i
$95$	113.689	+	283.982i	0.122782	+	0.306694i
$96$	−906.084	−	779.420i	−0.963300	−	0.828638i
$97$	315.872	+	76.6297i	0.330638	+	0.0802120i	0.397642	−	0.917541i	$-0.369829\pi$
$97$	315.872	+	76.6297i	0.330638	+	0.0802120i	−0.0670033	+	0.997753i	$0.521344\pi$
$98$	−1.06285	+	0.485388i	−0.00109555	+	0.000500322i
$99$	−40.2090	−	266.018i	−0.0408198	−	0.270059i
$100$	312.470	+	2173.27i	0.312470	+	2.17327i
$101$	−552.763	−	579.721i	−0.544574	−	0.571133i	0.392726	−	0.919655i	$-0.371532\pi$
$101$	−552.763	−	579.721i	−0.544574	−	0.571133i	−0.937300	+	0.348523i	$0.886683\pi$
$102$	348.152	−	681.346i	0.337963	−	0.661405i
$103$	−1886.27	−	89.8542i	−1.80446	−	0.0859572i	−0.881815	−	0.471596i	$-0.843678\pi$
$103$	−1886.27	−	89.8542i	−1.80446	−	0.0859572i	−0.922650	+	0.385639i	$0.873981\pi$
$104$	167.644	+	7.98586i	0.158066	+	0.00752960i
$105$	2096.65	−	107.459i	1.94869	−	0.0998756i
$106$	−757.279	−	794.211i	−0.693900	−	0.727742i
$107$	−163.947	−	1140.28i	−0.148125	−	1.03023i	−0.919285	−	0.393591i	$-0.871232\pi$
$107$	−163.947	−	1140.28i	−0.148125	−	1.03023i	0.771160	−	0.636641i	$-0.219677\pi$
$108$	810.348	−	334.636i	0.721998	−	0.298152i
$109$	−1151.55	+	525.894i	−1.01191	+	0.462124i	−0.851180	−	0.524874i	$-0.824112\pi$
$109$	−1151.55	+	525.894i	−1.01191	+	0.462124i	−0.160731	+	0.986998i	$0.551385\pi$
$110$	797.796	+	193.543i	0.691517	+	0.167760i
$111$	1439.89	−	504.174i	1.23124	−	0.431118i
$112$	−515.611	−	1287.93i	−0.435006	−	1.08659i
$113$	1552.47	+	800.355i	1.29243	+	0.666293i	0.960833	−	0.277129i	$-0.0893830\pi$
$113$	1552.47	+	800.355i	1.29243	+	0.666293i	0.331595	+	0.943422i	$0.392413\pi$
$114$	65.7748	+	266.920i	0.0540384	+	0.219293i
$115$	−2106.78	−	1165.00i	−1.70833	−	0.944671i
$116$		−	842.552i		−	0.674388i
$117$	−338.521	+	596.230i	−0.267489	+	0.471124i
$118$	76.0512	−	528.947i	0.0593312	−	0.412657i
$119$	588.232	−	418.878i	0.453136	−	0.322677i
$120$	−2.70438	−	749.544i	−0.00205729	−	0.570197i
$121$	−714.462	+	1003.32i	−0.536786	+	0.753810i
$122$	623.339	−	1801.02i	0.462578	−	1.33653i
$123$	−1330.87	−	186.451i	−0.975611	−	0.136681i
$124$	−544.415	+	519.099i	−0.394274	+	0.375939i
$125$	−3235.14	+	3733.55i	−2.31488	+	2.67151i
$126$	1879.43	+	165.787i	1.32883	+	0.117218i
$127$	−2242.08	−	1440.90i	−1.56655	−	1.00676i	−0.980506	−	0.196487i	$-0.937047\pi$
$127$	−2242.08	−	1440.90i	−1.56655	−	1.00676i	−0.586048	−	0.810276i	$-0.699317\pi$
$128$	−780.313	+	270.069i	−0.538833	+	0.186492i
$129$	561.281	+	24.7077i	0.383085	+	0.0168635i
$130$	−1293.25	−	1644.50i	−0.872503	−	1.10948i
$131$	2688.81	+	930.605i	1.79330	+	0.620666i	0.999929	+	0.0119256i	$0.00379611\pi$
$131$	2688.81	+	930.605i	1.79330	+	0.620666i	0.793369	+	0.608741i	$0.208325\pi$
$132$	300.813	+	119.170i	0.198352	+	0.0785789i
$133$	−61.1683	+	252.139i	−0.0398794	+	0.164385i
$134$	55.5275	−	121.588i	0.0357974	−	0.0783853i
$135$	2736.66	+	1373.56i	1.74470	+	0.875683i
$136$	−139.389	−	216.894i	−0.0878864	−	0.136754i
$137$	1146.74	−	1986.21i	0.715130	−	1.23864i	−0.247780	−	0.968816i	$-0.579701\pi$
$137$	1146.74	−	1986.21i	0.715130	−	1.23864i	0.962910	−	0.269824i	$-0.0869657\pi$
$138$	−1729.78	−	1299.55i	−1.06702	−	0.801628i
$139$	179.474	+	310.857i	0.109516	+	0.189688i	0.915574	−	0.402149i	$-0.131737\pi$
$139$	179.474	+	310.857i	0.109516	+	0.189688i	−0.806058	+	0.591836i	$0.798403\pi$
$140$	−1156.94	+	2244.16i	−0.698425	+	1.35476i
$141$	282.737	+	2852.16i	0.168870	+	1.70351i
$142$	−189.274	−	265.799i	−0.111856	−	0.157080i
$143$	−242.784	+	71.2878i	−0.141976	+	0.0416880i
$144$	273.503	−	2004.85i	0.158277	−	1.16022i
$145$	2223.93	−	1927.04i	1.27370	−	1.10367i
$146$	313.747	−	783.702i	0.177848	−	0.444244i
$147$	−1.35620	−	0.864681i	−0.000760938	−	0.000485154i
$148$	−347.229	+	1801.59i	−0.192852	+	1.00061i
$149$	−74.3727	+	1561.28i	−0.0408916	+	0.858421i	0.881505	+	0.472176i	$0.156531\pi$
$149$	−74.3727	+	1561.28i	−0.0408916	+	0.858421i	−0.922396	+	0.386245i	$0.873772\pi$
$150$	−5191.95	+	4531.75i	−2.82614	+	2.46677i
$151$	434.709	+	1256.01i	0.234279	+	0.676905i	0.999453	+	0.0330808i	$0.0105319\pi$
$151$	434.709	+	1256.01i	0.234279	+	0.676905i	−0.765174	+	0.643824i	$0.777347\pi$
$152$	88.8800	+	26.0975i	0.0474284	+	0.0139262i
$153$	1047.73	−	107.681i	0.553619	−	0.0568985i
$154$	455.981	+	526.230i	0.238597	+	0.275356i
$155$	−2615.33	−	249.733i	−1.35528	−	0.129413i
$156$	−414.856	−	712.601i	−0.212917	−	0.365729i
$157$	169.399	+	1774.03i	0.0861116	+	0.901801i	0.930554	+	0.366155i	$0.119326\pi$
$157$	169.399	+	1774.03i	0.0861116	+	0.901801i	−0.844442	+	0.535647i	$0.820068\pi$
$158$	−4190.75	+	1677.72i	−2.11011	+	0.844762i
$159$	350.835	−	1469.28i	0.174988	−	0.732839i
$160$	4347.60	+	2510.09i	2.14818	+	1.24025i
$161$	−882.415	−	1841.43i	−0.431951	−	0.901397i
$162$	2264.38	+	1563.70i	1.09819	+	0.758370i
$163$	−1291.60	+	830.061i	−0.620650	+	0.398867i	−0.812837	−	0.582491i	$-0.802078\pi$
$163$	−1291.60	+	830.061i	−0.620650	+	0.398867i	0.192188	+	0.981358i	$0.438442\pi$
$164$	999.059	−	1270.41i	0.475691	−	0.604891i
$165$	373.454	+	1066.56i	0.176202	+	0.503221i
$166$	1357.14	−	1423.32i	0.634544	−	0.665490i
$167$	969.568	+	690.426i	0.449266	+	0.319921i	0.782198	−	0.623030i	$-0.214099\pi$
$167$	969.568	+	690.426i	0.449266	+	0.319921i	−0.332932	+	0.942951i	$0.608038\pi$
$168$	366.901	−	519.195i	0.168494	−	0.238433i
$169$	−1440.98	−	576.881i	−0.655884	−	0.262577i
$170$	−905.441	+	3083.65i	−0.408495	+	1.39121i
$171$	−259.155	+	275.751i	−0.115895	+	0.123317i
$172$	−365.296	+	568.412i	−0.161939	+	0.251982i
$173$	80.0879	+	155.349i	0.0351963	+	0.0682714i	0.905778	−	0.423753i	$-0.139287\pi$
$173$	80.0879	+	155.349i	0.0351963	+	0.0682714i	−0.870582	+	0.492024i	$0.836257\pi$
$174$	2219.58	−	1437.78i	0.967046	−	0.626424i
$175$	−6320.81	+	1533.41i	−2.73034	+	0.662372i
$176$	586.986	−	461.611i	0.251396	−	0.197700i
$177$	668.022	−	307.993i	0.283681	−	0.130792i
$178$	374.075	−	3917.49i	0.157518	−	1.64960i
$179$	−485.682	−	1654.08i	−0.202802	−	0.690681i	−0.996592	−	0.0824886i	$-0.973713\pi$
$179$	−485.682	−	1654.08i	−0.202802	−	0.690681i	0.793790	−	0.608192i	$-0.208105\pi$
$180$	−3083.48	+	2013.22i	−1.27683	+	0.833648i
$181$	4099.51	+	589.421i	1.68351	+	0.242051i	0.916628	−	0.399742i	$-0.130900\pi$
$181$	4099.51	+	589.421i	1.68351	+	0.242051i	0.766877	+	0.641794i	$0.221809\pi$
$182$	−84.4329	−	1772.46i	−0.0343878	−	0.721889i
$183$	2547.26	−	627.699i	1.02896	−	0.253556i
$184$	−671.690	+	283.409i	−0.269117	+	0.113550i
$185$	−5549.49	+	3204.00i	−2.20544	+	1.27331i
$186$	−2296.51	−	548.362i	−0.905314	−	0.216171i
$187$	305.542	+	240.281i	0.119484	+	0.0939631i
$188$	−3135.45	−	1431.91i	−1.21636	−	0.555494i
$189$	1215.00	+	2295.42i	0.467609	+	0.883425i
$190$	−479.674	−	1050.34i	−0.183154	−	0.401051i
$191$	273.673	−	52.7461i	0.103677	−	0.0199821i	−0.137149	−	0.990550i	$-0.543794\pi$
$191$	273.673	−	52.7461i	0.103677	−	0.0199821i	0.240826	+	0.970568i	$0.422582\pi$
$192$	1100.71	+	859.200i	0.413734	+	0.322955i
$193$	570.250	+	2350.60i	0.212681	+	0.876684i	0.973678	+	0.227928i	$0.0731951\pi$
$193$	570.250	+	2350.60i	0.212681	+	0.876684i	−0.760997	+	0.648756i	$0.775290\pi$
$194$	−1204.77	−	232.200i	−0.445862	−	0.0859328i
$195$	932.082	−	2724.84i	0.342296	−	1.00067i
$196$	1.71930	−	0.886362i	0.000626568	−	0.000323018i
$197$	333.536	+	289.011i	0.120627	+	0.104524i	0.713085	−	0.701077i	$-0.247297\pi$
$197$	333.536	+	289.011i	0.120627	+	0.104524i	−0.592459	+	0.805601i	$0.701843\pi$
$198$	199.389	+	995.806i	0.0715655	+	0.357419i
$199$	3732.54	−	536.658i	1.32961	−	0.191169i	0.559368	−	0.828919i	$-0.311044\pi$
$199$	3732.54	−	536.658i	1.32961	−	0.191169i	0.770243	+	0.637750i	$0.220135\pi$
$200$	439.474	+	2280.21i	0.155378	+	0.806176i
$201$	182.030	−	26.8427i	0.0638776	−	0.00941958i
$202$	2188.33	+	2086.57i	0.762230	+	0.726784i
$203$	2484.62	−	237.252i	0.859044	−	0.0820287i
$204$	−522.036	+	1154.10i	−0.179166	+	0.396094i
$205$	5638.25	−	268.583i	1.92094	−	0.0915056i
$206$	7128.37			2.41096
$207$	206.855	−	2971.02i	0.0694560	−	0.997585i
$208$	−1903.04			−0.634385
$209$	−139.498	+	6.64511i	−0.0461688	+	0.00219929i
$210$	−7886.17	+	781.761i	−2.59142	+	0.256889i
$211$	3466.87	−	331.046i	1.13114	−	0.108010i	0.487343	−	0.873211i	$-0.337966\pi$
$211$	3466.87	−	331.046i	1.13114	−	0.108010i	0.643792	+	0.765200i	$0.277360\pi$
$212$	1314.80	+	1253.66i	0.425947	+	0.406140i
$213$	165.434	−	417.594i	0.0532175	−	0.134334i
$214$	822.975	+	4270.00i	0.262885	+	1.36398i
$215$	−2335.82	+	335.839i	−0.740936	+	0.106531i
$216$	839.244	−	394.304i	0.264367	−	0.124208i
$217$	−1684.08	−	1459.26i	−0.526833	−	0.456503i
$218$	4247.48	−	2189.73i	1.31961	−	0.680308i
$219$	1140.23	−	224.032i	0.351826	−	0.0691263i
$220$	−1334.49	−	257.201i	−0.408959	−	0.0788204i
$221$	−233.539	−	962.661i	−0.0710839	−	0.293012i
$222$	−5338.57	+	2159.62i	−1.61397	+	0.652902i
$223$	−4102.80	+	790.750i	−1.23204	+	0.237455i	−0.763394	−	0.645933i	$-0.776469\pi$
$223$	−4102.80	+	790.750i	−1.23204	+	0.237455i	−0.468641	+	0.883388i	$0.655256\pi$
$224$	1768.84	+	3873.22i	0.527615	+	1.15532i
$225$	−9121.23	−	2606.89i	−2.70259	−	0.772412i
$226$	−5997.39	−	2738.91i	−1.76522	−	0.806150i
$227$	−3130.38	−	2461.76i	−0.915288	−	0.719791i	0.0449449	−	0.998989i	$-0.485689\pi$
$227$	−3130.38	−	2461.76i	−0.915288	−	0.719791i	−0.960233	+	0.279199i	$0.909931\pi$
$228$	−129.791	−	436.200i	−0.0377001	−	0.126702i
$229$	5871.87	−	3390.12i	1.69443	−	0.978278i	0.743565	−	0.668664i	$-0.233133\pi$
$229$	5871.87	−	3390.12i	1.69443	−	0.978278i	0.950862	−	0.309614i	$-0.100200\pi$
$230$	8152.91	+	4014.27i	2.33733	+	1.15084i
$231$	−266.717	+	920.629i	−0.0759683	+	0.262221i
$232$	−42.4010	−	890.106i	−0.0119990	−	0.251889i
$233$	−793.121	−	114.034i	−0.223000	−	0.0320626i	0.0299088	−	0.999553i	$-0.490478\pi$
$233$	−793.121	−	114.034i	−0.223000	−	0.0320626i	−0.252909	+	0.967490i	$0.581387\pi$
$234$	1169.31	−	2308.90i	0.326667	−	0.645032i
$235$	−3391.69	−	11551.0i	−0.941487	−	3.20641i
$236$	−84.0929	+	880.661i	−0.0231948	+	0.242907i
$237$	−5074.61	−	3586.09i	−1.39085	−	0.982876i
$238$	−2142.71	+	1685.04i	−0.583576	+	0.458929i
$239$	5388.26	−	1307.18i	1.45831	−	0.353783i	0.573300	−	0.819346i	$-0.305663\pi$
$239$	5388.26	−	1307.18i	1.45831	−	0.353783i	0.885015	+	0.465562i	$0.154148\pi$
$240$	435.026	+	8487.85i	0.117003	+	2.28287i
$241$	345.311	+	669.811i	0.0922965	+	0.179030i	0.930465	−	0.366382i	$-0.119404\pi$
$241$	345.311	+	669.811i	0.0922965	+	0.179030i	−0.838168	+	0.545412i	$0.816373\pi$
$242$	2513.69	−	3911.37i	0.667710	−	1.03898i
$243$	−111.956	+	3786.34i	−0.0295555	+	0.999563i
$244$	−888.888	+	3027.28i	−0.233218	+	0.794268i
$245$	6.27186	+	2.51087i	0.00163549	+	0.000654751i
$246$	5051.55	+	463.979i	1.30925	+	0.120253i
$247$	289.911	+	206.444i	0.0746825	+	0.0531811i
$248$	−549.019	+	575.794i	−0.140576	+	0.147431i
$249$	2660.06	+	502.738i	0.677007	+	0.127951i
$250$	11527.6	−	14658.5i	2.91627	−	3.70834i
$251$	−3432.08	+	2205.66i	−0.863072	+	0.554662i	−0.895626	−	0.444808i	$-0.853272\pi$
$251$	−3432.08	+	2205.66i	−0.863072	+	0.554662i	0.0325546	+	0.999470i	$0.489636\pi$
$252$	−3120.89	−	126.102i	−0.780149	−	0.0315225i
$253$	817.223	−	734.990i	0.203076	−	0.182642i
$254$	8712.62	+	5030.23i	2.15228	+	1.24262i
$255$	−4240.23	+	1261.68i	−1.04131	+	0.309841i
$256$	4889.50	−	1957.46i	1.19373	−	0.477896i
$257$	−673.597	−	7054.23i	−0.163494	−	1.71218i	−0.589755	−	0.807582i	$-0.700776\pi$
$257$	−673.597	−	7054.23i	−0.163494	−	1.71218i	0.426262	−	0.904600i	$-0.359830\pi$
$258$	−2120.76	+	7.65179i	−0.511755	+	0.00184643i
$259$	−5410.53	−	516.643i	−1.29805	−	0.123948i
$260$	2268.06	+	2617.48i	0.540997	+	0.624344i
$261$	3322.20	+	1488.32i	0.787890	+	0.352969i
$262$	−10305.4	−	3025.92i	−2.43003	−	0.713520i
$263$	−775.426	−	2240.45i	−0.181805	−	0.525292i	0.816866	−	0.576828i	$-0.195710\pi$
$263$	−775.426	−	2240.45i	−0.181805	−	0.525292i	−0.998671	+	0.0515358i	$0.983588\pi$
$264$	323.788	+	110.758i	0.0754841	+	0.0258207i
$265$	−301.904	+	6337.74i	−0.0699841	+	1.46915i
$266$	185.349	−	961.683i	0.0427237	−	0.221671i
$267$	4805.93	−	2499.62i	1.10157	−	0.572937i
$268$	−82.2429	+	205.433i	−0.0187455	+	0.0468239i
$269$	5216.94	−	4520.51i	1.18246	−	1.02461i	0.183328	−	0.983052i	$-0.441313\pi$
$269$	5216.94	−	4520.51i	1.18246	−	1.02461i	0.999136	−	0.0415587i	$-0.0132324\pi$
$270$	−10565.4	−	4687.50i	−2.38143	−	1.05656i
$271$	−518.364	+	152.205i	−0.116193	+	0.0341174i	−0.339312	−	0.940674i	$-0.610194\pi$
$271$	−518.364	+	152.205i	−0.116193	+	0.0341174i	0.223119	+	0.974791i	$0.428376\pi$
$272$	1695.74	+	2381.34i	0.378013	+	0.530844i
$273$	1984.58	−	1424.04i	0.439972	−	0.315702i
$274$	−3967.07	+	7695.04i	−0.874669	+	1.69662i
$275$	−1750.50	−	3031.96i	−0.383852	−	0.664852i
$276$	2962.74	+	2012.68i	0.646145	+	0.438946i
$277$	−1444.31	+	2501.62i	−0.313287	+	0.542628i	−0.979072	−	0.203515i	$-0.934763\pi$
$277$	−1444.31	+	2501.62i	−0.313287	+	0.542628i	0.665785	+	0.746143i	$0.268097\pi$
$278$	−732.543	−	1139.86i	−0.158040	−	0.245914i
$279$	−1085.14	−	3063.60i	−0.232852	−	0.657394i
$280$	−1109.31	+	2429.04i	−0.236763	+	0.518439i
$281$	445.954	−	1838.25i	0.0946740	−	0.390252i	−0.904684	−	0.426084i	$-0.859893\pi$
$281$	445.954	−	1838.25i	0.0946740	−	0.390252i	0.999358	+	0.0358319i	$0.0114081\pi$
$282$	−1578.35	−	10703.4i	−0.333295	−	2.26020i
$283$	7841.43	+	2713.95i	1.64708	+	0.570061i	0.983951	−	0.178441i	$-0.0571052\pi$
$283$	7841.43	+	2713.95i	1.64708	+	0.570061i	0.663133	+	0.748502i	$0.269226\pi$
$284$	333.922	+	424.617i	0.0697699	+	0.0887196i
$285$	854.502	−	1340.24i	0.177601	−	0.278558i
$286$	902.618	−	312.399i	0.186619	−	0.0645893i
$287$	4027.65	+	2588.41i	0.828378	+	0.532366i
$288$	−545.710	+	6186.38i	−0.111654	+	1.26575i
$289$	2220.82	−	2562.96i	0.452030	−	0.521670i
$290$	−8039.24	+	7665.40i	−1.62786	+	1.55217i
$291$	−633.364	−	1565.67i	−0.127589	−	0.315399i
$292$	−457.080	+	1320.65i	−0.0916048	+	0.264675i
$293$	−2276.46	+	3196.83i	−0.453898	+	0.637410i	−0.976589	−	0.215112i	$-0.930988\pi$
$293$	−2276.46	+	3196.83i	−0.453898	+	0.637410i	0.522692	+	0.852522i	$0.324928\pi$
$294$	5.26890	+	3.01671i	0.00104520	+	0.000598429i
$295$	−2516.85	+	1792.24i	−0.496734	+	0.353722i
$296$	−276.162	+	1920.75i	−0.0542284	+	0.377167i
$297$	−1001.26	+	975.606i	−0.195619	+	0.190607i
$298$		−	5900.18i		−	1.14694i
$299$	−2794.91	+	184.934i	−0.540582	+	0.0357692i
$300$	8228.47	−	7902.70i	1.58357	−	1.52088i
$301$	−1779.06	−	917.170i	−0.340676	−	0.175631i
$302$	−1864.68	−	4657.73i	−0.355298	−	0.887492i
$303$	−772.949	+	4089.79i	−0.146550	+	0.775420i
$304$	−1020.73	−	247.627i	−0.192576	−	0.0467184i
$305$	−10023.5	+	4577.60i	−1.88179	+	0.859386i
$306$	−3931.14	+	594.197i	−0.734406	+	0.111006i
$307$	805.268	+	5600.76i	0.149704	+	1.04121i	0.916704	+	0.399566i	$0.130839\pi$
$307$	805.268	+	5600.76i	0.149704	+	1.04121i	−0.767000	+	0.641647i	$0.778252\pi$
$308$	−795.464	−	834.259i	−0.147162	−	0.154339i
$309$	5334.77	+	8235.58i	0.982150	+	1.51620i
$310$	9906.00	+	471.881i	1.81491	+	0.0864549i
$311$	4684.64	+	223.157i	0.854154	+	0.0406884i	0.470090	−	0.882618i	$-0.344221\pi$
$311$	4684.64	+	223.157i	0.854154	+	0.0406884i	0.384063	+	0.923307i	$0.374524\pi$
$312$	−474.132	−	731.944i	−0.0860334	−	0.132815i
$313$	217.265	+	227.861i	0.0392349	+	0.0411484i	0.743059	−	0.669226i	$-0.233374\pi$
$313$	217.265	+	227.861i	0.0392349	+	0.0411484i	−0.703824	+	0.710374i	$0.748526\pi$
$314$	−957.360	−	6658.59i	−0.172060	−	1.19671i
$315$	−6805.09	−	8526.03i	−1.21722	−	1.52504i
$316$	6797.68	−	3104.40i	1.21013	−	0.552646i
$317$	−1047.32	−	254.076i	−0.185562	−	0.0450169i	0.141901	−	0.989881i	$-0.454679\pi$
$317$	−1047.32	−	254.076i	−0.185562	−	0.0450169i	−0.327463	+	0.944864i	$0.606194\pi$
$318$	−1058.93	+	5602.96i	−0.186736	+	0.988046i
$319$	499.323	+	1247.25i	0.0876385	+	0.218910i
$320$	−5213.10	−	2687.54i	−0.910692	−	0.469494i
$321$	−4317.33	+	4146.41i	−0.750685	+	0.720966i
$322$	3657.91	+	6784.65i	0.633066	+	1.17421i
$323$		−	546.731i		−	0.0941824i
$324$	−3867.56	−	2407.38i	−0.663161	−	0.412787i
$325$	−1269.74	+	8831.25i	−0.216716	+	1.50729i
$326$	4720.92	−	3361.75i	0.802047	−	0.571135i
$327$	5708.60	+	3268.46i	0.965402	+	0.552740i
$328$	991.514	−	1392.39i	0.166912	−	0.234395i
$329$	3339.68	−	9649.38i	0.559643	−	1.61698i
$330$	−1599.68	−	3954.41i	−0.266848	−	0.659645i
$331$	3029.94	−	2889.04i	0.503143	−	0.479746i	−0.395476	−	0.918476i	$-0.629420\pi$
$331$	3029.94	−	2889.04i	0.503143	−	0.479746i	0.898619	+	0.438731i	$0.144572\pi$
$332$	−2132.05	+	2460.52i	−0.352444	+	0.406742i
$333$	−6490.37	−	4551.55i	−1.06808	−	0.749019i
$334$	−3779.79	−	2429.12i	−0.619224	−	0.397951i
$335$	−730.344	+	252.775i	−0.119113	+	0.0412255i
$336$	−3875.40	+	6078.35i	−0.629227	+	0.986908i
$337$	−5159.38	−	6560.68i	−0.833974	−	1.06048i	−0.997265	−	0.0739060i	$-0.976454\pi$
$337$	−5159.38	−	6560.68i	−0.833974	−	1.06048i	0.163291	−	0.986578i	$-0.447789\pi$
$338$	5536.85	+	1916.32i	0.891021	+	0.308385i
$339$	−1324.02	−	8978.69i	−0.212127	−	1.43851i
$340$	1254.34	−	5170.46i	0.200077	−	0.824728i
$341$	498.275	−	1091.07i	0.0791293	−	0.173269i
$342$	927.621	−	1086.27i	0.146667	−	0.171751i
$343$	3435.94	+	5346.43i	0.540884	+	0.841633i
$344$	−357.308	+	618.876i	−0.0560023	+	0.0969988i
$345$	1463.74	+	12423.5i	0.228420	+	1.93872i
$346$	−329.876	−	571.361i	−0.0512550	−	0.0887762i
$347$	−4502.66	+	8733.95i	−0.696587	+	1.35119i	0.229288	+	0.973359i	$0.426360\pi$
$347$	−4502.66	+	8733.95i	−0.696587	+	1.35119i	−0.925875	+	0.377831i	$0.876670\pi$
$348$	−3557.05	+	2552.36i	−0.547925	+	0.393163i
$349$	−466.662	−	655.335i	−0.0715754	−	0.100514i	0.777236	−	0.629209i	$-0.216621\pi$
$349$	−466.662	−	655.335i	−0.0715754	−	0.100514i	−0.848812	+	0.528695i	$0.822682\pi$
$350$	23557.4	−	6917.06i	3.59770	−	1.05638i
$351$	3542.63	−	377.017i	0.538722	−	0.0573323i
$352$	−1732.16	+	1500.92i	−0.262285	+	0.227271i
$353$	−999.824	+	2497.44i	−0.150751	+	0.376559i	−0.984451	−	0.175659i	$-0.943794\pi$
$353$	−999.824	+	2497.44i	−0.150751	+	0.376559i	0.833700	+	0.552218i	$0.186218\pi$
$354$	−2463.47	+	1281.28i	−0.369864	+	0.192371i
$355$	−357.050	+	1852.55i	−0.0533810	+	0.276967i
$356$	−309.988	+	6507.45i	−0.0461498	+	0.968804i
$357$	−3550.34	−	1214.46i	−0.526342	−	0.180045i
$358$	2128.37	+	6149.52i	0.314212	+	0.907855i
$359$	6325.25	+	1857.26i	0.929899	+	0.273043i	0.711395	−	0.702793i	$-0.248064\pi$
$359$	6325.25	+	1857.26i	0.929899	+	0.273043i	0.218505	+	0.975836i	$0.429882\pi$
$360$	−3156.20	+	2282.02i	−0.462073	+	0.334092i
$361$	−4363.05	−	5035.23i	−0.636106	−	0.734106i
$362$	−15563.2	−	1486.10i	−2.25962	−	0.215768i
$363$	6400.11	−	23.0919i	0.925396	−	0.00333887i
$364$	279.237	+	2924.31i	0.0402088	+	0.421086i
$365$	−4531.27	+	1814.05i	−0.649802	+	0.260141i
$366$	−9491.76	+	2824.27i	−1.35558	+	0.403353i
$367$	−451.541	−	260.698i	−0.0642242	−	0.0370798i	0.467544	−	0.883970i	$-0.345139\pi$
$367$	−451.541	−	260.698i	−0.0642242	−	0.0370798i	−0.531768	+	0.846890i	$0.678472\pi$
$368$	7454.64	−	3572.27i	1.05598	−	0.506026i
$369$	3244.46	+	6183.42i	0.457724	+	0.872346i
$370$	20349.0	−	13077.5i	2.85917	−	1.83748i
$371$	−3326.71	+	4230.25i	−0.465536	+	0.591978i
$372$	3840.72	+	725.875i	0.535301	+	0.101169i
$373$	4559.39	−	4781.75i	0.632913	−	0.663780i	−0.326692	−	0.945131i	$-0.605934\pi$
$373$	4559.39	−	4781.75i	0.632913	−	0.663780i	0.959605	+	0.281351i	$0.0907825\pi$
$374$	−1195.21	−	851.106i	−0.165248	−	0.117673i
$375$	25562.4	+	2347.87i	3.52010	+	0.323316i
$376$	−3384.47	−	1354.94i	−0.464204	−	0.185839i
$377$	964.587	−	3285.08i	0.131774	−	0.448781i
$378$	−4993.46	−	8436.71i	−0.679461	−	1.14798i
$379$	−114.023	+	177.423i	−0.0154537	+	0.0240465i	−0.848894	−	0.528562i	$-0.822731\pi$
$379$	−114.023	+	177.423i	−0.0154537	+	0.0240465i	0.833441	+	0.552609i	$0.186368\pi$
$380$	875.928	+	1699.06i	0.118248	+	0.229369i
$381$	708.848	+	13830.5i	0.0953160	+	1.85973i
$382$	−1022.42	+	248.035i	−0.136941	+	0.0332215i
$383$	4920.27	−	3869.35i	0.656434	−	0.516226i	−0.233475	−	0.972363i	$-0.575010\pi$
$383$	4920.27	−	3869.35i	0.656434	−	0.516226i	0.889909	+	0.456137i	$0.150767\pi$
$384$	3503.98	+	2476.17i	0.465656	+	0.329066i
$385$	382.690	−	4007.71i	0.0506589	−	0.530524i
$386$	−2572.34	−	8760.57i	−0.339193	−	1.15518i
$387$	−1595.99	−	2444.44i	−0.209634	−	0.321080i
$388$	2010.50	+	289.066i	0.263061	+	0.0378224i
$389$	193.862	+	4069.67i	0.0252679	+	0.530438i	0.975647	+	0.219345i	$0.0703920\pi$
$389$	193.862	+	4069.67i	0.0252679	+	0.530438i	−0.950379	+	0.311093i	$0.899305\pi$
$390$	−3025.02	+	10441.5i	−0.392764	+	1.35571i
$391$	2721.88	+	3332.58i	0.352049	+	0.431037i
$392$	1.77173	−	1.02291i	0.000228281	−	0.000131798i
$393$	−4216.45	−	14170.6i	−0.541201	−	1.81886i
$394$	−1309.52	−	1029.81i	−0.167443	−	0.131678i
$395$	23741.4	+	10842.3i	3.02420	+	1.38111i
$396$	−408.151	−	1630.96i	−0.0517939	−	0.206967i
$397$	3513.15	+	7692.73i	0.444131	+	0.972512i	0.990821	+	0.135177i	$0.0431603\pi$
$397$	3513.15	+	7692.73i	0.444131	+	0.972512i	−0.546690	+	0.837335i	$0.684112\pi$
$398$	−13977.2	+	2693.89i	−1.76034	+	0.339278i
$399$	1249.77	−	505.572i	0.156809	−	0.0634342i
$400$	−6207.70	−	25588.5i	−0.775963	−	3.19856i
$401$	−6050.90	−	1166.22i	−0.753536	−	0.145232i	−0.202002	−	0.979385i	$-0.564745\pi$
$401$	−6050.90	−	1166.22i	−0.753536	−	0.145232i	−0.551533	+	0.834153i	$0.685957\pi$
$402$	−681.527	+	133.906i	−0.0845559	+	0.0166134i
$403$	−2716.94	+	1400.68i	−0.335832	+	0.173134i
$404$	−3782.99	−	3277.98i	−0.465869	−	0.403678i
$405$	−2491.38	−	15714.5i	−0.305673	−	1.92805i
$406$	−9325.69	+	1340.83i	−1.13997	+	0.163902i
$407$	−553.670	−	2872.71i	−0.0674310	−	0.349865i
$408$	−493.420	+	1245.51i	−0.0598724	+	0.151132i
$409$	1598.54	+	1524.20i	0.193258	+	0.184271i	0.780530	−	0.625119i	$-0.214949\pi$
$409$	1598.54	+	1524.20i	0.193258	+	0.184271i	−0.587272	+	0.809390i	$0.699798\pi$
$410$	−21210.9	+	2025.40i	−2.55496	+	0.243969i
$411$	−11859.2	+	1175.61i	−1.42328	+	0.141091i
$412$	−11787.5	+	561.508i	−1.40954	+	0.0671444i
$413$	−2620.67			−0.312240
$414$	−246.319	+	11239.4i	−0.0292413	+	1.33427i
$415$	−11370.9			−1.34500
$416$	5834.30	−	277.922i	0.687621	−	0.0327554i
$417$	768.683	−	1699.38i	0.0902699	−	0.199566i
$418$	524.787	−	50.1111i	0.0614071	−	0.00586367i
$419$	−5744.86	−	5477.72i	−0.669821	−	0.638673i	0.276836	−	0.960917i	$-0.410714\pi$
$419$	−5744.86	−	5477.72i	−0.669821	−	0.638673i	−0.946657	+	0.322244i	$0.895563\pi$
$420$	12979.0	−	1913.92i	1.50789	−	0.222357i
$421$	−1788.40	−	9279.12i	−0.207034	−	1.07420i	−0.925533	−	0.378668i	$-0.876382\pi$
$421$	−1788.40	−	9279.12i	−0.207034	−	1.07420i	0.718498	−	0.695529i	$-0.244830\pi$
$422$	−13012.5	+	1870.91i	−1.50104	+	0.215816i
$423$	11184.7	−	9833.75i	1.28562	−	1.13034i
$424$	1452.10	+	1258.25i	0.166321	+	0.144118i
$425$	12182.3	−	6280.39i	1.39041	−	0.716808i
$426$	−548.766	+	1604.26i	−0.0624127	+	0.182457i
$427$	−9177.48	−	1768.81i	−1.04012	−	0.200466i
$428$	−1697.23	−	6996.06i	−0.191679	−	0.790111i
$429$	1036.43	+	809.022i	0.116642	+	0.0910488i
$430$	8746.92	−	1685.83i	0.980963	−	0.189065i
$431$	1556.39	+	3408.02i	0.173941	+	0.380878i	0.976444	−	0.215770i	$-0.0692261\pi$
$431$	1556.39	+	3408.02i	0.173941	+	0.380878i	−0.802503	+	0.596648i	$0.796499\pi$
$432$	−9292.53	+	4918.67i	−1.03492	+	0.547800i
$433$	8465.49	+	3866.06i	0.939551	+	0.429078i	0.825504	−	0.564397i	$-0.190891\pi$
$433$	8465.49	+	3866.06i	0.939551	+	0.429078i	0.114047	+	0.993475i	$0.463618\pi$
$434$	6611.96	+	5199.70i	0.731300	+	0.575101i
$435$	−14872.5	−	3551.26i	−1.63927	−	0.391425i
$436$	−6851.17	+	3955.52i	−0.752549	+	0.434484i
$437$	−1523.17	−	264.486i	−0.166735	−	0.0289522i
$438$	−4259.04	+	1049.52i	−0.464623	+	0.114493i
$439$	−226.374	−	4752.18i	−0.0246111	−	0.516650i	−0.977191	−	0.212362i	$-0.931885\pi$
$439$	−226.374	−	4752.18i	−0.0246111	−	0.516650i	0.952580	−	0.304288i	$-0.0984185\pi$
$440$	−1422.75	−	204.560i	−0.154152	−	0.0221637i
$441$	0.457895	+	8.34496i	4.94434e−5	+	0.000901086i
$442$	1053.47	+	3587.79i	0.113368	+	0.386094i
$443$	846.363	−	8863.51i	0.0907718	−	0.950605i	−0.829286	−	0.558824i	$-0.811253\pi$
$443$	846.363	−	8863.51i	0.0907718	−	0.950605i	0.920058	−	0.391782i	$-0.128141\pi$
$444$	8657.76	−	3991.68i	0.925404	−	0.426660i
$445$	−17885.5	+	14065.3i	−1.90529	+	1.49833i
$446$	15327.7	−	3718.45i	1.62732	−	0.394785i
$447$	6816.63	−	4415.61i	0.721287	−	0.467229i
$448$	−2279.52	−	4421.65i	−0.240395	−	0.466302i
$449$	−6367.45	+	9907.95i	−0.669262	+	1.04139i	0.326113	+	0.945331i	$0.394261\pi$
$449$	−6367.45	+	9907.95i	−0.669262	+	1.04139i	−0.995375	+	0.0960614i	$0.969375\pi$
$450$	34860.0	+	8191.06i	3.65182	+	0.858067i
$451$	−726.045	+	2472.68i	−0.0758052	+	0.258169i
$452$	10133.1	+	4056.66i	1.05447	+	0.422144i
$453$	3985.70	−	5640.09i	0.413387	−	0.584977i
$454$	12245.3	+	8719.85i	1.26586	+	0.901416i
$455$	−7080.08	+	7425.37i	−0.729493	+	0.765070i
$456$	−159.068	−	454.287i	−0.0163356	−	0.0466534i
$457$	760.112	−	966.561i	0.0778043	−	0.0989362i	−0.745593	−	0.666402i	$-0.767834\pi$
$457$	760.112	−	966.561i	0.0778043	−	0.0989362i	0.823397	+	0.567466i	$0.192076\pi$
$458$	−21531.1	+	13837.2i	−2.19669	+	1.41172i
$459$	−3628.50	−	4097.05i	−0.368984	−	0.416632i
$460$	−13797.9	−	5995.80i	−1.39854	−	0.607730i
$461$	−6924.52	−	3997.87i	−0.699581	−	0.403903i	0.107610	−	0.994193i	$-0.465680\pi$
$461$	−6924.52	−	3997.87i	−0.699581	−	0.403903i	−0.807191	+	0.590290i	$0.799014\pi$
$462$	840.306	−	3519.16i	0.0846203	−	0.354386i
$463$	2375.54	−	951.022i	0.238446	−	0.0954595i	−0.249362	−	0.968410i	$-0.580221\pi$
$463$	2375.54	−	951.022i	0.238446	−	0.0954595i	0.487808	+	0.872951i	$0.337797\pi$
$464$	960.465	+	10058.4i	0.0960959	+	1.00636i
$465$	6868.33	+	11797.8i	0.684971	+	1.17658i
$466$	3010.96	+	287.512i	0.299314	+	0.0285810i
$467$	−623.917	−	720.038i	−0.0618232	−	0.0713478i	0.723996	−	0.689805i	$-0.242304\pi$
$467$	−623.917	−	720.038i	−0.0618232	−	0.0713478i	−0.785819	+	0.618457i	$0.787758\pi$
$468$	−1751.70	+	3910.12i	−0.173018	+	0.386208i
$469$	−628.963	−	184.680i	−0.0619250	−	0.0181828i
$470$	14863.2	+	42944.3i	1.45869	+	4.21462i
$471$	6976.35	−	6089.25i	0.682491	−	0.595707i
$472$	−44.5204	+	934.597i	−0.00434156	+	0.0911405i
$473$	203.897	−	1057.92i	0.0198207	−	0.102839i
$474$	19778.0	+	12610.0i	1.91653	+	1.22193i
$475$	−1830.19	+	4571.59i	−0.176789	+	0.441598i
$476$	3410.46	−	2955.18i	0.328399	−	0.284560i
$477$	−7265.73	+	2969.77i	−0.697432	+	0.285066i
$478$	−20081.8	+	5896.53i	−1.92159	+	0.564228i
$479$	6386.12	+	8968.05i	0.609164	+	0.855451i	0.997824	−	0.0659303i	$-0.0210015\pi$
$479$	6386.12	+	8968.05i	0.609164	+	0.855451i	−0.388661	+	0.921381i	$0.627062\pi$
$480$	−2573.27	−	25958.4i	−0.244694	−	2.46840i
$481$	−3416.37	+	6626.83i	−0.323852	+	0.628186i
$482$	−1422.31	−	2463.51i	−0.134408	−	0.232801i
$483$	−5100.95	+	9303.61i	−0.480541	+	0.876458i
$484$	−3848.54	+	6665.87i	−0.361433	+	0.626021i
$485$	3835.31	+	5967.86i	0.359078	+	0.558736i
$486$	−257.940	−	14296.6i	−0.0240749	−	1.33438i
$487$	−4996.98	+	10941.9i	−0.464958	+	1.01812i	0.521371	+	0.853330i	$0.325421\pi$
$487$	−4996.98	+	10941.9i	−0.464958	+	1.01812i	−0.986329	+	0.164786i	$0.947307\pi$
$488$	−786.711	+	3242.87i	−0.0729770	+	0.300815i
$489$	7416.98	+	2938.31i	0.685905	+	0.271728i
$490$	−24.0992	−	8.34081i	−0.00222182	−	0.000768978i
$491$	−4796.65	−	6099.44i	−0.440875	−	0.560619i	0.513937	−	0.857828i	$-0.328187\pi$
$491$	−4796.65	−	6099.44i	−0.440875	−	0.560619i	−0.954812	+	0.297209i	$0.903944\pi$
$492$	−8389.82	−	369.322i	−0.768785	−	0.0338421i
$493$	−4970.25	+	1720.22i	−0.454054	+	0.157150i
$494$	−1130.19	−	726.332i	−0.102935	−	0.0661522i
$495$	3371.44	−	4807.58i	0.306131	−	0.436534i
$496$	5907.52	−	6817.64i	0.534789	−	0.617180i
$497$	−1158.13	+	1104.28i	−0.104526	+	0.0996651i
$498$	−10120.1	−	1417.81i	−0.910630	−	0.127577i
$499$	−4782.74	+	13818.8i	−0.429068	+	1.23971i	0.498772	+	0.866733i	$0.333785\pi$
$499$	−4782.74	+	13818.8i	−0.429068	+	1.23971i	−0.927840	+	0.372978i	$0.878337\pi$
$500$	−17907.4	+	25147.4i	−1.60168	+	2.24925i
$501$	−22.3150	−	6184.80i	−0.00198994	−	0.551530i
$502$	12544.6	−	8932.95i	1.11532	−	0.794217i
$503$	−59.2392	+	412.017i	−0.00525118	+	0.0365228i	−0.992279	−	0.124029i	$-0.960418\pi$
$503$	−59.2392	+	412.017i	−0.00525118	+	0.0365228i	0.987027	+	0.160552i	$0.0513274\pi$
$504$	−3303.38	+	23.8378i	−0.291953	+	0.00210678i
$505$		−	17482.5i		−	1.54052i
$506$	−2949.34	+	2918.08i	−0.259119	+	0.256373i
$507$	1929.73	+	7831.01i	0.169038	+	0.685972i
$508$	−14803.5	−	7631.71i	−1.29291	−	0.666540i
$509$	2704.08	+	6754.47i	0.235474	+	0.588186i	0.998292	−	0.0584277i	$-0.0186087\pi$
$509$	2704.08	+	6754.47i	0.235474	+	0.588186i	−0.762817	+	0.646614i	$0.776184\pi$
$510$	15761.3	−	5518.79i	1.36847	−	0.479169i
$511$	−4023.18	−	976.014i	−0.348288	−	0.0844938i
$512$	−12075.5	+	5514.71i	−1.04232	+	0.476012i
$513$	1949.22	+	258.753i	0.167758	+	0.0222694i
$514$	3806.84	+	26477.1i	0.326678	+	2.27209i
$515$	−28441.9	−	29829.0i	−2.43359	−	2.55228i
$516$	3506.29	−	179.707i	0.299139	−	0.0153317i
$517$	5490.06	+	261.524i	0.467026	+	0.0222472i
$518$	20493.3	+	976.216i	1.73827	+	0.0828040i
$519$	413.234	−	808.712i	0.0349498	−	0.0683979i
$520$	2527.79	+	2651.07i	0.213175	+	0.223572i
$521$	−353.531	−	2458.86i	−0.0297284	−	0.206765i	0.969544	−	0.244919i	$-0.0787614\pi$
$521$	−353.531	−	2458.86i	−0.0297284	−	0.206765i	−0.999272	+	0.0381537i	$0.987852\pi$
$522$	−12793.8	−	5015.04i	−1.07274	−	0.420503i
$523$	3945.12	−	1801.68i	0.329843	−	0.150634i	−0.243609	−	0.969874i	$-0.578331\pi$
$523$	3945.12	−	1801.68i	0.329843	−	0.150634i	0.573452	+	0.819239i	$0.305604\pi$
$524$	17279.3	+	4191.92i	1.44056	+	0.349475i
$525$	25621.4	+	22039.8i	2.12993	+	1.83218i
$526$	3326.17	+	8308.37i	0.275719	+	0.688712i
$527$	4173.70	+	2151.69i	0.344989	+	0.177854i
$528$	−3726.97	−	1079.75i	−0.307189	−	0.0889962i
$529$	10601.2	−	5970.87i	0.871304	−	0.490743i
$530$		−	23950.8i		−	1.96294i
$531$	−3323.92	−	1887.22i	−0.271649	−	0.154234i
$532$	−230.742	+	1604.84i	−0.0188044	+	0.130787i
$533$	5349.71	−	3809.51i	0.434750	−	0.309584i
$534$	−17671.9	+	10288.1i	−1.43209	+	0.833723i
$535$	14584.4	−	20480.9i	1.17857	−	1.65508i
$536$	−76.5465	+	221.166i	−0.00616848	+	0.0178226i
$537$	−5511.85	+	7061.17i	−0.442931	+	0.567434i
$538$	−18858.7	+	17981.7i	−1.51125	+	1.44098i
$539$	−2.01983	+	2.33101i	−0.000161411	+	0.000186278i
$540$	17840.2	+	6919.03i	1.42170	+	0.551385i
$541$	−5628.08	−	3616.95i	−0.447264	−	0.287439i	0.297556	−	0.954704i	$-0.403829\pi$
$541$	−5628.08	−	3616.95i	−0.447264	−	0.287439i	−0.744820	+	0.667265i	$0.767465\pi$
$542$	1927.17	−	666.999i	0.152729	−	0.0528599i
$543$	−9930.33	−	19092.7i	−0.784809	−	1.50892i
$544$	−5546.54	−	7053.00i	−0.437144	−	0.555873i
$545$	−26110.3	−	9036.86i	−2.05219	−	0.710269i
$546$	−7227.14	+	5725.81i	−0.566471	+	0.448795i
$547$	3847.54	−	15859.8i	0.300748	−	1.23970i	−0.598094	−	0.801426i	$-0.704075\pi$
$547$	3847.54	−	15859.8i	0.300748	−	1.23970i	0.898842	−	0.438274i	$-0.144410\pi$
$548$	5953.82	−	13037.0i	0.464114	−	1.01627i
$549$	−10366.4	−	8852.42i	−0.805882	−	0.688182i
$550$	7144.89	+	11117.7i	0.553926	+	0.861925i
$551$	944.837	−	1636.50i	0.0730515	−	0.126529i
$552$	3231.24	+	1977.18i	0.249150	+	0.152453i
$553$	11068.8	+	19171.6i	0.851160	+	1.47425i
$554$	4996.49	−	9691.85i	0.383178	−	0.743262i
$555$	30337.7	+	13722.7i	2.32029	+	1.04954i
$556$	1301.12	+	1827.17i	0.0992445	+	0.139369i
$557$	10293.5	−	3022.43i	0.783031	−	0.229919i	0.134304	−	0.990940i	$-0.457120\pi$
$557$	10293.5	−	3022.43i	0.783031	−	0.229919i	0.648727	+	0.761022i	$0.275302\pi$
$558$	4641.81	+	11356.5i	0.352157	+	0.861573i
$559$	−2075.02	+	1798.01i	−0.157001	+	0.136043i
$560$	11253.4	−	28109.7i	0.849187	−	2.12117i
$561$	88.8247	−	2017.81i	0.00668481	−	0.151858i
$562$	−1351.31	+	7011.26i	−0.101426	+	0.526249i
$563$	−291.785	+	6125.32i	−0.0218424	+	0.458528i	0.961279	+	0.275576i	$0.0888685\pi$
$563$	−291.785	+	6125.32i	−0.0218424	+	0.458528i	−0.983122	+	0.182953i	$0.941435\pi$
$564$	3453.08	+	17574.8i	0.257803	+	1.31212i
$565$	12468.2	+	36024.5i	0.928391	+	2.68241i
$566$	−30053.7	−	8824.58i	−2.23190	−	0.655344i
$567$	6010.10	−	12083.0i	0.445150	−	0.894952i
$568$	374.138	+	431.778i	0.0276381	+	0.0318961i
$569$	23562.4	+	2249.93i	1.73600	+	0.165768i	0.914541	−	0.404493i	$-0.132552\pi$
$569$	23562.4	+	2249.93i	1.73600	+	0.165768i	0.821463	+	0.570262i	$0.193158\pi$
$570$	−2981.20	+	5206.88i	−0.219068	+	0.382618i
$571$	−1463.21	−	15323.4i	−0.107239	−	1.12306i	−0.875599	−	0.483038i	$-0.839533\pi$
$571$	−1463.21	−	15323.4i	−0.107239	−	1.12306i	0.768361	−	0.640017i	$-0.221073\pi$
$572$	−1467.97	+	587.685i	−0.107305	+	0.0429586i
$573$	−1051.72	−	995.596i	−0.0766778	−	0.0725857i
$574$	−15651.2	−	9036.25i	−1.13810	−	0.657083i
$575$	−11603.6	−	36977.5i	−0.841573	−	2.68186i
$576$	292.931	−	7249.73i	0.0211900	−	0.524430i
$577$	−16324.0	+	10490.8i	−1.17778	+	0.756910i	−0.974976	−	0.222310i	$-0.928640\pi$
$577$	−16324.0	+	10490.8i	−1.17778	+	0.756910i	−0.202800	+	0.979220i	$0.565004\pi$
$578$	−7913.32	+	10062.6i	−0.569465	+	0.724133i
$579$	8196.20	−	9528.17i	0.588295	−	0.683899i
$580$	12689.9	−	13308.8i	0.908483	−	0.952790i
$581$	−7856.22	−	5594.39i	−0.560983	−	0.399474i
$582$	2669.33	+	5789.64i	0.190115	+	0.412351i
$583$	−2689.28	−	1076.63i	−0.191044	−	0.0764825i
$584$	−416.417	+	1418.19i	−0.0295059	+	0.100488i
$585$	−14327.2	+	4319.38i	−1.01258	+	0.305273i
$586$	8009.24	−	12462.6i	0.564605	−	0.878543i
$587$	−5118.98	−	9929.43i	−0.359937	−	0.698180i	0.637445	−	0.770496i	$-0.279991\pi$
$587$	−5118.98	−	9929.43i	−0.359937	−	0.698180i	−0.997382	+	0.0723161i	$0.976961\pi$
$588$	−8.95031	−	4.57341i	−0.000627729	−	0.000320755i
$589$	−1639.54	+	397.749i	−0.114696	+	0.0278251i
$590$	9167.92	−	7209.73i	0.639724	−	0.503085i
$591$	209.747	−	2283.61i	0.0145987	−	0.158943i
$592$	2091.52	−	21903.4i	0.145204	−	1.52065i
$593$	−957.671	−	3261.53i	−0.0663184	−	0.225860i	0.919665	−	0.392704i	$-0.128460\pi$
$593$	−957.671	−	3261.53i	−0.0663184	−	0.225860i	−0.985983	+	0.166844i	$0.946642\pi$
$594$	3600.04	−	3858.38i	0.248672	−	0.266518i
$595$	15600.5	+	2243.01i	1.07488	+	0.154545i
$596$	464.763	+	9756.57i	0.0319420	+	0.670545i
$597$	−13572.7	−	14132.2i	−0.930474	−	0.968830i
$598$	10505.1	−	1199.30i	0.718368	−	0.0820116i
$599$	16473.4	−	9510.93i	1.12368	−	0.648758i	0.181344	−	0.983420i	$-0.441955\pi$
$599$	16473.4	−	9510.93i	1.12368	−	0.648758i	0.942338	+	0.334661i	$0.108622\pi$
$600$	8295.19	−	8762.83i	0.564416	−	0.596235i
$601$	1944.26	+	1528.99i	0.131960	+	0.103775i	0.681958	−	0.731392i	$-0.261129\pi$
$601$	1944.26	+	1528.99i	0.131960	+	0.103775i	−0.549997	+	0.835166i	$0.685371\pi$
$602$	6872.72	+	3138.67i	0.465301	+	0.212496i
$603$	−664.750	−	687.172i	−0.0448934	−	0.0464076i
$604$	3450.33	+	7555.17i	0.232437	+	0.508966i
$605$	−26396.8	+	5087.57i	−1.77386	+	0.341883i
$606$	2179.85	−	15559.5i	0.146122	−	1.04300i
$607$	3953.01	+	16294.5i	0.264329	+	1.08958i	0.936914	+	0.349560i	$0.113669\pi$
$607$	3953.01	+	16294.5i	0.264329	+	1.08958i	−0.672585	+	0.740020i	$0.734816\pi$
$608$	3165.51	+	610.101i	0.211148	+	0.0406955i
$609$	−8528.31	−	9770.74i	−0.567462	−	0.650132i
$610$	36971.8	−	19060.3i	2.45401	−	1.26513i
$611$	−10585.7	−	9172.55i	−0.700902	−	0.607335i
$612$	6453.75	−	1292.23i	0.426270	−	0.0853515i
$613$	24493.1	−	3521.58i	1.61381	−	0.232031i	0.724481	−	0.689294i	$-0.242079\pi$
$613$	24493.1	−	3521.58i	1.61381	−	0.232031i	0.889331	+	0.457263i	$0.151170\pi$
$614$	−4042.25	−	20973.2i	−0.265687	−	1.37851i
$615$	−18213.9	−	22989.7i	−1.19424	−	1.50737i
$616$	−882.344	−	841.313i	−0.0577121	−	0.0550284i
$617$	10395.1	−	992.609i	0.678265	−	0.0647665i	0.249763	−	0.968307i	$-0.419647\pi$
$617$	10395.1	−	992.609i	0.678265	−	0.0647665i	0.428503	+	0.903541i	$0.359041\pi$
$618$	−21594.1	−	30094.2i	−1.40557	−	1.95885i
$619$	8285.08	−	394.667i	0.537973	−	0.0256268i	0.223162	−	0.974781i	$-0.428362\pi$
$619$	8285.08	−	394.667i	0.537973	−	0.0256268i	0.314811	+	0.949154i	$0.398059\pi$
$620$	−16417.8			−1.06347
$621$	−13169.6	+	8126.87i	−0.851008	+	0.525153i
$622$	−17703.6			−1.14124
$623$	−19277.2	+	918.287i	−1.23969	+	0.0590536i
$624$	5764.91	+	8034.17i	0.369841	+	0.515424i
$625$	−63613.7	+	6074.37i	−4.07128	+	0.388760i
$626$	−860.129	−	820.131i	−0.0549164	−	0.0523627i
$627$	450.638	+	568.797i	0.0287029	+	0.0362290i
$628$	2107.60	+	10935.3i	0.133921	+	0.694847i
$629$	11336.6	−	1629.96i	0.718632	−	0.103324i
$630$	27190.1	+	30925.3i	1.71949	+	1.95570i
$631$	4446.98	+	3853.33i	0.280557	+	0.243104i	0.783759	−	0.621065i	$-0.213300\pi$
$631$	4446.98	+	3853.33i	0.280557	+	0.243104i	−0.503202	+	0.864169i	$0.667845\pi$
$632$	7025.12	−	3621.70i	0.442159	−	0.227949i
$633$	−11899.9	−	13633.5i	−0.747199	−	0.856053i
$634$	3994.57	+	769.890i	0.250228	+	0.0482275i
$635$	−13713.7	−	56528.7i	−0.857028	−	3.53272i
$636$	1309.70	−	9348.50i	0.0816558	−	0.582849i
$637$	7.71824	−	1.48757i	0.000480075	−	9.25269e-5i
$638$	−2106.73	−	4613.09i	−0.130731	−	0.286260i
$639$	−2264.13	+	566.602i	−0.140168	+	0.0350774i
$640$	−16393.3	−	7486.55i	−1.01250	−	0.462394i
$641$	11100.9	+	8729.84i	0.684024	+	0.537922i	0.898591	−	0.438787i	$-0.144592\pi$
$641$	11100.9	+	8729.84i	0.684024	+	0.537922i	−0.214567	+	0.976709i	$0.568834\pi$
$642$	15533.8	−	16409.6i	0.954941	−	1.00878i
$643$	18351.4	−	10595.2i	1.12552	−	0.649820i	0.182716	−	0.983166i	$-0.441511\pi$
$643$	18351.4	−	10595.2i	1.12552	−	0.649820i	0.942805	+	0.333346i	$0.108178\pi$
$644$	−6583.17	−	10931.0i	−0.402816	−	0.668854i
$645$	8493.76	+	8843.88i	0.518514	+	0.539888i
$646$	98.1995	+	2061.46i	0.00598082	+	0.125553i
$647$	23130.0	+	3325.59i	1.40546	+	0.202075i	0.802955	−	0.596039i	$-0.203260\pi$
$647$	23130.0	+	3325.59i	1.40546	+	0.202075i	0.602507	+	0.798114i	$0.294169\pi$
$648$	−4206.99	−	2348.62i	−0.255040	−	0.142380i
$649$	−397.422	−	1353.50i	−0.0240373	−	0.0818634i
$650$	3201.39	−	33526.5i	0.193183	−	2.02310i
$651$	−1059.05	+	11530.3i	−0.0637594	+	0.694178i
$652$	−7541.72	+	5930.87i	−0.453001	+	0.356244i
$653$	10606.3	−	2573.07i	0.635617	−	0.154199i	0.0950129	−	0.995476i	$-0.469711\pi$
$653$	10606.3	−	2573.07i	0.635617	−	0.154199i	0.540604	+	0.841277i	$0.318196\pi$
$654$	−22111.5	−	11298.5i	−1.32206	−	0.675542i
$655$	28455.8	+	55196.5i	1.69750	+	3.29268i
$656$	−10478.6	+	16305.1i	−0.623662	+	0.970437i
$657$	−4399.94	−	4135.13i	−0.261275	−	0.245551i
$658$	−10859.2	+	36983.0i	−0.643367	+	2.19111i
$659$	2892.20	+	1157.86i	0.170962	+	0.0684430i	0.455565	−	0.890203i	$-0.349437\pi$
$659$	2892.20	+	1157.86i	0.170962	+	0.0684430i	−0.284602	+	0.958646i	$0.591862\pi$
$660$	2956.74	+	6413.02i	0.174380	+	0.378222i
$661$	−7838.96	−	5582.10i	−0.461271	−	0.328470i	0.325685	−	0.945478i	$-0.394405\pi$
$661$	−7838.96	−	5582.10i	−0.461271	−	0.328470i	−0.786956	+	0.617009i	$0.788344\pi$
$662$	−10905.5	+	11437.4i	−0.640265	+	0.671491i
$663$	−3356.66	+	3902.15i	−0.196624	+	0.228578i
$664$	−2128.56	+	2706.68i	−0.124404	+	0.158192i
$665$	−4763.74	+	3061.47i	−0.277790	+	0.178524i
$666$	25289.6	+	15996.0i	1.47140	+	0.930677i
$667$	2388.06	+	14679.1i	0.138630	+	0.852138i
$668$	6441.62	+	3719.07i	0.373104	+	0.215412i
$669$	15767.0	+	14925.6i	0.911194	+	0.862567i
$670$	2708.38	−	1084.27i	0.156170	−	0.0625210i
$671$	−478.217	−	5008.12i	−0.0275132	−	0.288132i
$672$	10993.4	−	19200.8i	0.631073	−	1.10222i
$673$	28486.5	+	2720.13i	1.63161	+	0.155800i	0.870277	−	0.492563i	$-0.163940\pi$
$673$	28486.5	+	2720.13i	1.63161	+	0.155800i	0.761332	+	0.648362i	$0.224546\pi$
$674$	20631.9	+	23810.5i	1.17910	+	1.36075i
$675$	16625.4	+	46404.7i	0.948019	+	2.64610i
$676$	−9306.72	−	2732.70i	−0.529513	−	0.155479i
$677$	7287.45	+	21055.7i	0.413706	+	1.19533i	0.938854	+	0.344315i	$0.111889\pi$
$677$	7287.45	+	21055.7i	0.413706	+	1.19533i	−0.525148	+	0.851011i	$0.675990\pi$
$678$	6604.94	+	33616.6i	0.374132	+	1.90418i
$679$	−286.300	+	6010.18i	−0.0161814	+	0.339690i
$680$	1064.93	−	5525.40i	0.0600564	−	0.311602i
$681$	−910.037	+	20673.1i	−0.0512081	+	1.16328i
$682$	−1682.79	+	4203.40i	−0.0944828	+	0.236007i
$683$	1513.22	−	1311.21i	0.0847754	−	0.0734583i	−0.611442	−	0.791289i	$-0.709410\pi$
$683$	1513.22	−	1311.21i	0.0847754	−	0.0734583i	0.696218	+	0.717831i	$0.254865\pi$
$684$	−1448.35	+	1869.33i	−0.0809636	+	0.104497i
$685$	48028.7	−	14102.5i	2.67895	−	0.786611i
$686$	−13915.6	−	19541.7i	−0.774489	−	1.08762i
$687$	−32100.0	−	14519.8i	−1.78267	−	0.806356i
$688$	3712.97	−	7202.16i	0.205749	−	0.399098i
$689$	3691.12	+	6393.21i	0.204094	+	0.353501i
$690$	−7750.46	−	46580.1i	−0.427616	−	2.56996i
$691$	2760.51	−	4781.35i	0.151975	−	0.263229i	−0.779978	−	0.625806i	$-0.784770\pi$
$691$	2760.51	−	4781.35i	0.151975	−	0.263229i	0.931953	+	0.362578i	$0.118103\pi$
$692$	590.490	+	918.821i	0.0324380	+	0.0504745i
$693$	4694.64	−	1662.86i	0.257337	−	0.0911500i
$694$	15408.7	−	33740.3i	0.842803	−	1.84548i
$695$	−1846.98	+	7613.35i	−0.100806	+	0.415526i
$696$	−3629.37	+	2875.42i	−0.197659	+	0.156598i
$697$	−9533.93	−	3299.72i	−0.518111	−	0.179320i
$698$	1877.26	+	2387.14i	0.101799	+	0.129448i
$699$	1921.19	+	3693.81i	0.103957	+	0.199875i
$700$	−38409.7	+	13293.7i	−2.07393	+	0.717793i
$701$	−5862.48	−	3767.59i	−0.315867	−	0.202995i	0.373095	−	0.927793i	$-0.378297\pi$
$701$	−5862.48	−	3767.59i	−0.315867	−	0.202995i	−0.688961	+	0.724798i	$0.741933\pi$
$702$	−13289.8	+	2057.85i	−0.714519	+	0.110639i
$703$	−2694.73	+	3109.89i	−0.144572	+	0.166844i
$704$	1937.96	−	1847.84i	0.103749	−	0.0989247i
$705$	−38491.2	+	49310.6i	−2.05626	+	2.63425i
$706$	3321.29	−	9596.23i	0.177051	−	0.511557i
$707$	8601.25	−	12078.8i	0.457544	−	0.642530i
$708$	3972.68	−	2312.78i	0.210879	−	0.122768i
$709$	−7872.35	+	5605.87i	−0.416999	+	0.296944i	−0.769233	−	0.638968i	$-0.779361\pi$
$709$	−7872.35	+	5605.87i	−0.416999	+	0.296944i	0.352234	+	0.935912i	$0.385422\pi$
$710$	1013.53	−	7049.23i	0.0535732	−	0.372609i
$711$	232.990	+	32287.2i	0.0122895	+	1.70304i
$712$			6890.33i			0.362677i
$713$	8013.60	−	10586.9i	0.420914	−	0.556074i
$714$	13604.8	+	3941.46i	0.713090	+	0.206590i
$715$	−4908.66	−	2530.59i	−0.256746	−	0.132362i
$716$	−4003.88	−	10001.2i	−0.208983	−	0.522015i
$717$	−21841.3	−	18788.1i	−1.13763	−	0.978596i
$718$	−24183.1	−	5866.75i	−1.25697	−	0.304938i
$719$	−9727.18	+	4442.26i	−0.504538	+	0.230415i	−0.651389	−	0.758744i	$-0.725813\pi$
$719$	−9727.18	+	4442.26i	−0.504538	+	0.230415i	0.146851	+	0.989159i	$0.453086\pi$
$720$	34515.8	−	27549.0i	1.78657	−	1.42596i
$721$	−4975.05	−	34602.2i	−0.256977	−	1.78732i
$722$	17355.4	+	18201.8i	0.894599	+	0.938228i
$723$	1781.72	−	3486.89i	0.0916500	−	0.179362i
$724$	25852.4	+	1231.50i	1.32707	+	0.0632160i
$725$	47318.1	+	2254.04i	2.42393	+	0.115466i
$726$	−24127.6	+	1236.61i	−1.23342	+	0.0632159i
$727$	3454.17	+	3622.63i	0.176215	+	0.184809i	0.805918	−	0.592027i	$-0.201672\pi$
$727$	3454.17	+	3622.63i	0.176215	+	0.184809i	−0.629703	+	0.776836i	$0.716824\pi$
$728$	442.162	+	3075.30i	0.0225104	+	0.156564i
$729$	16324.2	−	10997.4i	0.829353	−	0.558724i
$730$	16759.4	−	7653.78i	0.849719	−	0.388054i
$731$	4098.90	+	994.381i	0.207391	+	0.0503126i
$732$	15473.1	−	5417.90i	0.781290	−	0.273568i
$733$	−9072.92	−	22663.1i	−0.457184	−	1.14199i	−0.960597	−	0.277945i	$-0.910347\pi$
$733$	−9072.92	−	22663.1i	−0.457184	−	1.14199i	0.503413	−	0.864046i	$-0.332078\pi$
$734$	1749.37	+	901.864i	0.0879707	+	0.0453520i
$735$	−8.39914	−	34.0845i	−0.000421506	−	0.00171051i
$736$	−22332.6	+	12040.5i	−1.11846	+	0.603014i
$737$		−	352.846i		−	0.0176354i
$738$	−13343.9	−	22732.0i	−0.665579	−	1.13384i
$739$	2323.76	−	16162.1i	0.115671	−	0.804510i	−0.846563	−	0.532288i	$-0.821332\pi$
$739$	2323.76	−	16162.1i	0.115671	−	0.804510i	0.962234	−	0.272222i	$-0.0877585\pi$
$740$	−32619.1	+	23227.9i	−1.62041	+	1.15389i
$741$	−6.67241	−	1849.32i	−0.000330793	−	0.0916820i
$742$	11783.6	−	16547.8i	0.583006	−	0.818717i
$743$	−11322.6	+	32714.5i	−0.559066	+	1.61531i	0.211095	+	0.977465i	$0.432297\pi$
$743$	−11322.6	+	32714.5i	−0.559066	+	1.61531i	−0.770161	+	0.637849i	$0.779824\pi$
$744$	4094.02	+	573.562i	0.201739	+	0.0282632i
$745$	−24689.6	+	23541.5i	−1.21417	+	1.15771i
$746$	−16332.4	+	18848.6i	−0.801572	+	0.925064i
$747$	−5935.73	−	12753.1i	−0.290732	−	0.624647i
$748$	2043.45	+	1313.25i	0.0998876	+	0.0641938i
$749$	20152.9	−	6974.98i	0.983138	−	0.340267i
$750$	−96805.2	−	4261.39i	−4.71310	−	0.207472i
$751$	5210.97	+	6626.28i	0.253197	+	0.321966i	0.895990	−	0.444074i	$-0.146467\pi$
$751$	5210.97	+	6626.28i	0.253197	+	0.321966i	−0.642794	+	0.766039i	$0.722225\pi$
$752$	39063.5	+	13520.0i	1.89428	+	0.655617i
$753$	19708.6	+	7807.76i	0.953815	+	0.377863i
$754$	−3046.96	+	12559.7i	−0.147167	+	0.606629i
$755$	−12050.5	+	26387.0i	−0.580879	+	1.27195i
$756$	8921.78	+	13557.6i	0.429209	+	0.652231i
$757$	11840.8	+	18424.7i	0.568511	+	0.884620i	0.999846	−	0.0175716i	$-0.00559351\pi$
$757$	11840.8	+	18424.7i	0.568511	+	0.884620i	−0.431335	+	0.902192i	$0.641957\pi$
$758$	398.059	−	689.458i	0.0190741	−	0.0330373i
$759$	−5578.58	−	1223.60i	−0.266785	−	0.0585162i
$760$	1010.87	+	1750.88i	0.0482475	+	0.0835671i
$761$	−10442.5	+	20255.6i	−0.497424	+	0.964868i	0.497804	+	0.867290i	$0.334140\pi$
$761$	−10442.5	+	20255.6i	−0.497424	+	0.964868i	−0.995228	+	0.0975785i	$0.968890\pi$
$762$	−5156.85	−	52020.7i	−0.245161	−	2.47311i
$763$	−13593.7	−	19089.7i	−0.644987	−	0.905758i
$764$	1671.13	−	490.689i	0.0791355	−	0.0232363i
$765$	18171.5	+	14079.2i	0.858814	+	0.665405i
$766$	−17857.0	+	15473.2i	−0.842298	+	0.729856i
$767$	−1336.09	+	3337.39i	−0.0628988	+	0.157114i
$768$	−23075.8	−	14712.5i	−1.08421	−	0.691267i
$769$	−2976.33	+	15442.7i	−0.139570	+	0.724157i	0.842949	+	0.537994i	$0.180818\pi$
$769$	−2976.33	+	15442.7i	−0.139570	+	0.724157i	−0.982519	+	0.186164i	$0.940395\pi$
$770$	−723.108	+	15179.9i	−0.0338428	+	0.710449i
$771$	−27740.7	+	24213.3i	−1.29579	+	1.13102i
$772$	4943.70	+	14283.9i	0.230476	+	0.665918i
$773$	15926.4	+	4676.42i	0.741052	+	0.217593i	0.630404	−	0.776267i	$-0.282889\pi$
$773$	15926.4	+	4676.42i	0.741052	+	0.217593i	0.110648	+	0.993860i	$0.464707\pi$
$774$	6456.75	+	8930.15i	0.299849	+	0.414713i
$775$	−27696.4	−	31963.3i	−1.28372	−	1.48149i
$776$	2138.52	+	204.204i	0.0989282	+	0.00944650i
$777$	14209.1	+	24407.0i	0.656045	+	1.12689i
$778$	−1461.92	−	15310.0i	−0.0673682	−	0.705512i
$779$	3365.12	−	1347.19i	0.154773	−	0.0619617i
$780$	4179.70	−	17504.4i	0.191868	−	0.803535i
$781$	−745.953	−	430.676i	−0.0341771	−	0.0197321i
$782$	−10861.5	−	12076.7i	−0.496682	−	0.552252i
$783$	−3780.67	−	18534.1i	−0.172555	−	0.845921i
$784$	−19.5147	+	12.5414i	−0.000888973	+	0.000571308i
$785$	−24043.3	+	30573.6i	−1.09318	+	1.39009i
$786$	18443.4	+	52673.2i	0.836967	+	2.39032i
$787$	−2121.61	+	2225.08i	−0.0960954	+	0.100782i	−0.770025	−	0.638013i	$-0.779756\pi$
$787$	−2121.61	+	2225.08i	−0.0960954	+	0.100782i	0.673930	+	0.738795i	$0.264605\pi$
$788$	2246.54	+	1599.75i	0.101561	+	0.0723209i
$789$	−7109.61	+	10060.7i	−0.320797	+	0.453954i
$790$	−91464.9	−	36617.0i	−4.11921	−	1.64908i
$791$	−9109.42	+	31023.8i	−0.409474	+	1.39454i
$792$	−513.265	−	1702.48i	−0.0230279	−	0.0763824i
$793$	−6931.49	+	10785.6i	−0.310396	+	0.482986i
$794$	−14628.1	−	28374.6i	−0.653820	−	1.26823i
$795$	27671.0	−	17924.4i	1.23445	−	0.799641i
$796$	22900.6	−	5555.63i	1.01971	−	0.247379i
$797$	−659.273	+	518.458i	−0.0293007	+	0.0230423i	−0.632702	−	0.774395i	$-0.718054\pi$
$797$	−659.273	+	518.458i	−0.0293007	+	0.0230423i	0.603401	+	0.797438i	$0.293812\pi$
$798$	−4621.48	+	2130.74i	−0.205011	+	0.0945206i
$799$	−2045.32	+	21419.6i	−0.0905612	+	0.948399i
$800$	22768.4	+	77542.1i	1.00623	+	3.42691i
$801$	−25111.5	−	12717.3i	−1.10770	−	0.560980i
$802$	23024.5	+	3310.43i	1.01375	+	0.145755i
$803$	−106.031	−	2225.86i	−0.00465971	−	0.0978193i
$804$	1116.43	−	275.111i	0.0489719	−	0.0120677i
$805$	13795.8	−	42377.2i	0.604022	−	1.85540i
$806$	9992.71	−	5769.29i	0.436697	−	0.252127i
$807$	−34888.3	−	8330.63i	−1.52184	−	0.363386i
$808$	−4161.47	−	3272.62i	−0.181188	−	0.142488i
$809$	36073.4	+	16474.2i	1.56770	+	0.715946i	0.994624	−	0.103553i	$-0.0330212\pi$
$809$	36073.4	+	16474.2i	1.56770	+	0.715946i	0.573080	+	0.819500i	$0.305749\pi$
$810$	12216.3	+	58804.3i	0.529923	+	2.55083i
$811$	10021.3	+	21943.6i	0.433903	+	0.950115i	0.992677	+	0.120795i	$0.0385444\pi$
$811$	10021.3	+	21943.6i	0.433903	+	0.950115i	−0.558775	+	0.829320i	$0.688728\pi$
$812$	15315.4	−	2951.80i	0.661902	−	0.127571i
$813$	2212.86	+	1727.33i	0.0954594	+	0.0745143i
$814$	2603.60	+	10732.2i	0.112108	+	0.462117i
$815$	−32903.6	−	6341.66i	−1.41419	−	0.272563i
$816$	4916.49	−	14372.8i	0.210921	−	0.616605i
$817$	−1346.94	+	694.394i	−0.0576785	+	0.0297353i
$818$	−6301.08	−	5459.92i	−0.269330	−	0.233376i
$819$	−12023.9	−	4064.58i	−0.513001	−	0.173416i
$820$	34914.9	−	5020.01i	1.48693	−	0.213788i
$821$	7903.40	+	41006.7i	0.335969	+	1.74317i	0.620225	+	0.784424i	$0.287041\pi$
$821$	7903.40	+	41006.7i	0.335969	+	1.74317i	−0.284257	+	0.958748i	$0.591747\pi$
$822$	44504.1	−	6562.70i	1.88839	−	0.278468i
$823$	−308.531	−	294.184i	−0.0130677	−	0.0124600i	0.683517	−	0.729935i	$-0.260449\pi$
$823$	−308.531	−	294.184i	−0.0130677	−	0.0124600i	−0.696585	+	0.717475i	$0.745298\pi$
$824$	−12424.5	+	1186.40i	−0.525278	+	0.0501580i
$825$	−7497.38	+	16575.0i	−0.316394	+	0.699475i
$826$	9881.31	−	470.705i	0.416241	−	0.0198280i
$827$	3322.12			0.139688			0.0698438	−	0.997558i	$-0.477750\pi$
$827$	3322.12			0.139688			0.0698438	+	0.997558i	$0.477750\pi$
$828$	−478.028	−	18605.0i	−0.0200635	−	0.780880i
$829$	4233.21			0.177353			0.0886763	−	0.996060i	$-0.471736\pi$
$829$	4233.21			0.177353			0.0886763	+	0.996060i	$0.471736\pi$
$830$	42874.2	−	2042.35i	1.79299	−	0.0854108i
$831$	14936.5	−	1480.67i	0.623517	−	0.0618096i
$832$	−6793.07	+	648.660i	−0.283062	+	0.0270291i
$833$	−8.73893	−	8.33256i	−0.000363489	−	0.000346586i
$834$	−2593.11	+	6545.61i	−0.107664	+	0.271770i
$835$	4916.42	+	25508.8i	0.203760	+	1.05721i
$836$	−863.843	+	124.202i	−0.0357376	+	0.00513829i
$837$	−9646.55	+	13861.8i	−0.398367	+	0.572443i
$838$	22645.0	+	19622.0i	0.933483	+	0.808868i
$839$	−16882.5	+	8703.54i	−0.694695	+	0.358140i	−0.769136	−	0.639085i	$-0.779313\pi$
$839$	−16882.5	+	8703.54i	−0.694695	+	0.358140i	0.0744411	+	0.997225i	$0.476283\pi$
$840$	13615.3	−	2675.11i	0.559251	−	0.109881i
$841$	6098.24	+	1175.34i	0.250041	+	0.0481914i
$842$	8409.86	+	34665.9i	0.344208	+	1.41884i
$843$	−9111.58	+	3685.93i	−0.372265	+	0.150593i
$844$	21370.1	−	4118.75i	0.871551	−	0.167978i
$845$	−14072.9	−	30815.3i	−0.572925	−	1.25453i
$846$	−40405.7	+	39087.3i	−1.64205	+	1.58847i
$847$	−20740.8	−	9472.00i	−0.841395	−	0.384252i
$848$	−17125.3	−	13467.5i	−0.693496	−	0.545371i
$849$	−12296.5	−	41326.0i	−0.497075	−	1.67056i
$850$	−44805.4	+	25868.4i	−1.80802	+	1.04386i
$851$	943.196	−	32371.8i	0.0379933	−	1.30399i
$852$	781.073	−	2696.04i	0.0314074	−	0.108409i
$853$	−847.401	−	17789.1i	−0.0340146	−	0.714054i	−0.949889	−	0.312588i	$-0.898804\pi$
$853$	−847.401	−	17789.1i	−0.0340146	−	0.714054i	0.915874	−	0.401466i	$-0.131499\pi$
$854$	34921.6	+	5020.97i	1.39929	+	0.201187i
$855$	−8246.72	+	452.505i	−0.329862	+	0.0180998i
$856$	−2145.09	−	7305.51i	−0.0856515	−	0.291702i
$857$	3814.98	−	39952.2i	0.152062	−	1.59246i	−0.521446	−	0.853284i	$-0.674607\pi$
$857$	3814.98	−	39952.2i	0.152062	−	1.59246i	0.673508	−	0.739180i	$-0.264787\pi$
$858$	−4053.19	−	2864.28i	−0.161275	−	0.113968i
$859$	2040.26	−	1604.48i	0.0810393	−	0.0637300i	−0.576818	−	0.816873i	$-0.695706\pi$
$859$	2040.26	−	1604.48i	0.0810393	−	0.0637300i	0.657857	+	0.753143i	$0.271463\pi$
$860$	−14331.2	+	3476.70i	−0.568242	+	0.137854i
$861$	−1273.37	−	24844.9i	−0.0504021	−	0.983404i
$862$	−6480.52	−	12570.5i	−0.256064	−	0.496696i
$863$	−16586.3	+	25808.8i	−0.654235	+	1.01801i	0.342675	+	0.939454i	$0.388667\pi$
$863$	−16586.3	+	25808.8i	−0.654235	+	1.01801i	−0.996910	+	0.0785549i	$0.974969\pi$
$864$	27770.5	−	16436.6i	1.09349	−	0.647206i
$865$	−1074.70	+	3660.09i	−0.0422437	+	0.143869i
$866$	−32613.7	−	13056.6i	−1.27974	−	0.512333i
$867$	−17547.8	−	1611.74i	−0.687375	−	0.0631345i
$868$	−11343.2	−	8077.42i	−0.443562	−	0.315859i
$869$	−8222.99	+	8624.02i	−0.320996	+	0.336651i
$870$	56714.9	+	10718.8i	2.21013	+	0.417703i
$871$	−555.850	+	706.821i	−0.0216237	+	0.0274968i
$872$	−7038.79	+	4523.55i	−0.273353	+	0.175673i
$873$	−4691.22	+	7416.82i	−0.181872	+	0.287539i
$874$	5790.65	+	723.672i	0.224110	+	0.0280075i
$875$	−79200.0	−	45726.2i	−3.05994	−	1.76666i
$876$	6960.09	−	2070.97i	0.268447	−	0.0798764i
$877$	3956.00	−	1583.75i	0.152320	−	0.0609798i	−0.294250	−	0.955729i	$-0.595070\pi$
$877$	3956.00	−	1583.75i	0.152320	−	0.0609798i	0.446570	+	0.894749i	$0.352645\pi$
$878$	1707.10	+	17877.5i	0.0656171	+	0.687173i
$879$	20392.4	−	73.5765i	0.782500	−	0.00282329i
$880$	16224.4	+	1549.24i	0.621504	+	0.0593464i
$881$	−29946.1	−	34559.7i	−1.14519	−	1.32162i	−0.939322	−	0.343036i	$-0.888545\pi$
$881$	−29946.1	−	34559.7i	−1.14519	−	1.32162i	−0.205865	−	0.978580i	$-0.566001\pi$
$882$	−3.22536	−	31.3826i	−0.000123133	−	0.00119808i
$883$	24708.5	+	7255.07i	0.941685	+	0.276504i	0.716321	−	0.697771i	$-0.245825\pi$
$883$	24708.5	+	7255.07i	0.941685	+	0.276504i	0.225364	+	0.974275i	$0.427643\pi$
$884$	−2024.64	−	5849.80i	−0.0770315	−	0.222568i
$885$	15190.7	+	5196.26i	0.576983	+	0.197368i
$886$	−1599.24	+	33572.1i	−0.0606404	+	1.27300i
$887$	−3937.04	+	20427.3i	−0.149034	+	0.773260i	0.828091	+	0.560593i	$0.189427\pi$
$887$	−3937.04	+	20427.3i	−0.149034	+	0.773260i	−0.977125	+	0.212666i	$0.931785\pi$
$888$	8945.53	−	4652.67i	0.338054	−	0.175826i
$889$	18336.8	−	45803.1i	0.691785	−	1.72800i
$890$	64911.3	−	56245.9i	2.44475	−	2.11839i
$891$	7151.91	+	1271.66i	0.268909	+	0.0478138i
$892$	−25053.0	+	7356.23i	−0.940400	+	0.276126i
$893$	−4484.29	−	6297.31i	−0.168042	−	0.235981i
$894$	−24909.2	+	17873.5i	−0.931864	+	0.668658i
$895$	17240.8	−	33442.6i	0.643908	−	1.24901i
$896$	−7642.89	−	13237.9i	−0.284968	−	0.493579i
$897$	9247.42	+	11239.2i	0.344217	+	0.418358i
$898$	22229.0	−	38501.8i	0.826050	−	1.43076i
$899$	8774.49	+	13653.4i	0.325523	+	0.506524i
$900$	−58289.9	−	10798.8i	−2.15889	−	0.399956i
$901$	4710.98	−	10315.6i	0.174191	−	0.381424i
$902$	2293.45	−	9453.71i	0.0846601	−	0.348974i
$903$	1517.27	+	10289.2i	0.0559153	+	0.379183i
$904$	10909.1	+	3775.68i	0.401363	+	0.138913i
$905$	55877.7	+	71054.3i	2.05242	+	2.60986i
$906$	−14015.1	+	21982.0i	−0.513931	+	0.806072i
$907$	41399.3	−	14328.4i	1.51559	−	0.524552i	0.562387	−	0.826874i	$-0.309883\pi$
$907$	41399.3	−	14328.4i	1.51559	−	0.524552i	0.953206	+	0.302323i	$0.0977621\pi$
$908$	−20935.8	−	13454.6i	−0.765175	−	0.491748i
$909$	19607.6	−	9126.06i	0.715449	−	0.332995i
$910$	25361.9	−	29269.2i	0.923889	−	1.06622i
$911$	7723.29	−	7364.14i	0.280883	−	0.267821i	−0.536520	−	0.843887i	$-0.680262\pi$
$911$	7723.29	−	7364.14i	0.280883	−	0.267821i	0.817403	+	0.576066i	$0.195413\pi$
$912$	2046.70	+	5059.43i	0.0743125	+	0.183700i
$913$	1697.94	−	4905.87i	0.0615483	−	0.177832i
$914$	−2692.41	+	3780.97i	−0.0974367	+	0.136831i
$915$	49690.0	+	28450.0i	1.79530	+	1.02790i
$916$	34513.9	−	24577.3i	1.24495	−	0.886524i
$917$	−7495.98	+	52135.7i	−0.269944	+	1.87750i
$918$	14417.2	+	14796.3i	0.518343	+	0.531973i
$919$		−	14600.9i		−	0.524089i	−0.965056	−	0.262045i	$-0.915603\pi$
$919$		−	14600.9i		−	0.524089i	0.965056	−	0.262045i	$-0.0843967\pi$
$920$	−14878.4	−	5639.83i	−0.533180	−	0.202108i
$921$	21205.7	−	20366.1i	0.758686	−	0.728650i
$922$	26827.1	+	13830.3i	0.958247	+	0.494011i
$923$	815.833	+	2037.85i	0.0290937	+	0.0726726i
$924$	−1112.33	+	5885.49i	−0.0396027	+	0.209544i
$925$	−100249.	−	24320.2i	−3.56344	−	0.864480i
$926$	−8786.21	+	4012.53i	−0.311806	+	0.142397i
$927$	18607.9	−	47470.3i	0.659293	−	1.68191i
$928$	−4413.52	−	30696.7i	−0.156122	−	1.08585i
$929$	2211.14	+	2318.97i	0.0780894	+	0.0818978i	0.761619	−	0.648025i	$-0.224405\pi$
$929$	2211.14	+	2318.97i	0.0780894	+	0.0818978i	−0.683530	+	0.729922i	$0.739556\pi$
$930$	−28016.2	−	43250.2i	−0.987837	−	1.52498i
$931$	4.33340	+	0.206425i	0.000152547	+	7.26671e-6i
$932$	−5001.59	−	238.255i	−0.175786	−	0.00837372i
$933$	−13249.2	−	20453.5i	−0.464907	−	0.717702i
$934$	2481.82	+	2602.86i	0.0869461	+	0.0911864i
$935$	1207.35	+	8397.29i	0.0422294	+	0.293712i
$936$	−1653.79	+	4218.96i	−0.0577521	+	0.147330i
$937$	−24048.5	+	10982.6i	−0.838454	+	0.382909i	−0.787893	−	0.615812i	$-0.788828\pi$
$937$	−24048.5	+	10982.6i	−0.838454	+	0.382909i	−0.0505611	+	0.998721i	$0.516101\pi$
$938$	2404.69	+	583.372i	0.0837057	+	0.0203068i
$939$	303.809	−	1607.50i	0.0105585	−	0.0558667i
$940$	−27960.5	−	69842.0i	−0.970183	−	2.42340i
$941$	−8701.14	−	4485.75i	−0.301434	−	0.155400i	0.300874	−	0.953664i	$-0.402722\pi$
$941$	−8701.14	−	4485.75i	−0.301434	−	0.155400i	−0.602308	+	0.798264i	$0.705752\pi$
$942$	−25210.8	+	24212.7i	−0.871987	+	0.837466i
$943$	−13805.0	+	24964.9i	−0.476727	+	0.862108i
$944$		−	10609.2i		−	0.365786i
$945$	−15380.1	+	54557.5i	−0.529433	+	1.87805i
$946$	−578.783	+	4025.52i	−0.0198920	+	0.138352i
$947$	27841.2	−	19825.7i	0.955352	−	0.680303i	0.00782197	−	0.999969i	$-0.497510\pi$
$947$	27841.2	−	19825.7i	0.955352	−	0.680303i	0.947530	+	0.319666i	$0.103571\pi$
$948$	−33698.4	−	19294.0i	−1.15451	−	0.661012i
$949$	−3294.07	+	4625.87i	−0.112676	+	0.158232i
$950$	6079.66	−	17566.0i	0.207632	−	0.599912i
$951$	2100.00	+	5191.20i	0.0716060	+	0.177010i
$952$	3454.23	−	3293.60i	0.117597	−	0.112128i
$953$	35062.6	−	40464.3i	1.19180	−	1.37541i	0.282505	−	0.959266i	$-0.408835\pi$
$953$	35062.6	−	40464.3i	1.19180	−	1.37541i	0.909297	−	0.416147i	$-0.136620\pi$
$954$	26862.2	−	12502.6i	0.911631	−	0.424305i
$955$	5117.31	+	3288.70i	0.173395	+	0.111434i
$956$	32742.8	−	11332.4i	1.10772	−	0.383385i
$957$	3752.97	−	5886.33i	0.126767	−	0.198827i
$958$	−25689.8	−	32667.2i	−0.866388	−	1.10170i
$959$	40121.7	+	13886.2i	1.35099	+	0.467581i
$960$	4445.99	+	30149.9i	0.149473	+	1.01363i
$961$	−3607.36	+	14869.7i	−0.121089	+	0.499135i
$962$	11691.2	−	25600.2i	0.391830	−	0.857988i
$963$	30583.7	+	5665.95i	1.02341	+	0.189598i
$964$	2545.99	+	3961.64i	0.0850632	+	0.132361i
$965$	−26395.5	+	45718.4i	−0.880520	+	1.52510i
$966$	17562.2	−	35995.7i	0.584943	−	1.19890i
$967$	−7384.77	−	12790.8i	−0.245582	−	0.425361i	0.716713	−	0.697369i	$-0.245646\pi$
$967$	−7384.77	−	12790.8i	−0.245582	−	0.425361i	−0.962295	+	0.272007i	$0.912313\pi$
$968$	−3730.30	+	7235.77i	−0.123860	+	0.240254i
$969$	−2308.17	+	1656.22i	−0.0765211	+	0.0549076i
$970$	−15533.0	−	21813.1i	−0.514161	−	0.722037i
$971$	15571.6	−	4572.24i	0.514642	−	0.151112i	−0.0140912	−	0.999901i	$-0.504486\pi$
$971$	15571.6	−	4572.24i	0.514642	−	0.151112i	0.528733	+	0.848788i	$0.322667\pi$
$972$	1552.69	+	23620.6i	0.0512371	+	0.779455i
$973$	−5021.80	+	4351.42i	−0.165459	+	0.143371i
$974$	16875.9	−	42154.0i	0.555174	−	1.38676i
$975$	41129.8	−	21392.1i	1.35098	−	0.702662i
$976$	7160.67	−	37153.1i	0.234844	−	1.21849i
$977$	260.856	−	5476.05i	0.00854199	−	0.179319i	−0.990564	−	0.137049i	$-0.956238\pi$
$977$	260.856	−	5476.05i	0.00854199	−	0.179319i	0.999106	−	0.0422694i	$-0.0134588\pi$
$978$	−28493.6	−	9746.77i	−0.931622	−	0.318678i
$979$	−3397.63	−	9816.82i	−0.110918	−	0.320477i
$980$	40.5075	+	11.8941i	0.00132037	+	0.000387696i
$981$	−3494.52	−	34001.5i	−0.113732	−	1.10661i
$982$	19181.4	+	22136.5i	0.623323	+	0.719353i
$983$	−2829.61	−	270.195i	−0.0918113	−	0.00876692i	0.0490493	−	0.998796i	$-0.484381\pi$
$983$	−2829.61	−	270.195i	−0.0918113	−	0.00876692i	−0.140861	+	0.990029i	$0.544987\pi$
$984$	−8881.93	+	32.0464i	−0.287749	+	0.00103821i
$985$	915.604	+	9588.64i	0.0296178	+	0.310172i
$986$	18431.5	−	7378.84i	0.595311	−	0.238327i
$987$	−50854.3	+	15131.7i	−1.64003	+	0.487991i
$988$	1926.11	+	1112.04i	0.0620219	+	0.0358084i
$989$	4753.19	−	10938.3i	0.152824	−	0.351687i
$990$	−11848.6	+	18732.6i	−0.380377	+	0.601376i
$991$	−7080.31	+	4550.24i	−0.226956	+	0.145856i	−0.649178	−	0.760637i	$-0.724887\pi$
$991$	−7080.31	+	4550.24i	−0.226956	+	0.145856i	0.422221	+	0.906493i	$0.361250\pi$
$992$	−17115.5	+	21764.1i	−0.547800	+	0.696585i
$993$	−21375.5	−	4039.85i	−0.683111	−	0.129104i
$994$	4168.42	−	4371.71i	0.133012	−	0.139499i
$995$	67041.3	+	47739.9i	2.13603	+	1.52106i
$996$	16846.4	+	1547.32i	0.535941	+	0.0492255i
$997$	−28563.1	−	11434.9i	−0.907324	−	0.363238i	−0.129398	−	0.991593i	$-0.541304\pi$
$997$	−28563.1	−	11434.9i	−0.907324	−	0.363238i	−0.777927	+	0.628355i	$0.783729\pi$
$998$	15551.4	−	52963.3i	0.493258	−	1.67988i
$999$	445.849	+	41188.9i	0.0141201	+	1.30446i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.o.a.11.16	✓	1400
9.5	odd	6	inner	207.4.o.a.149.16	yes	1400
23.21	odd	22	inner	207.4.o.a.182.16	yes	1400
207.113	even	66	inner	207.4.o.a.113.16	yes	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.o.a.11.16	✓	1400	1.1	even	1	trivial
207.4.o.a.113.16	yes	1400	207.113	even	66	inner
207.4.o.a.149.16	yes	1400	9.5	odd	6	inner
207.4.o.a.182.16	yes	1400	23.21	odd	22	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:	\( N \)	\(=\)	\( 207 = 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	207.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.77052 + 0.179612i) q^{2} +(-3.02932 - 4.22176i) q^{3} +(6.22080 - 0.594015i) q^{4} +(15.7958 + 15.0613i) q^{5} +(12.1804 + 15.3741i) q^{6} +(3.50340 + 18.1774i) q^{7} +(6.54202 - 0.940600i) q^{8} +(-8.64649 + 25.5781i) q^{9} +(-62.2637 - 53.9518i) q^{10} +(-8.85675 + 4.56597i) q^{11} +(-21.3526 - 24.4633i) q^{12} +(24.9348 + 4.80578i) q^{13} +(-16.4745 - 67.9089i) q^{14} +(15.7346 - 112.312i) q^{15} +(-73.5873 + 14.1828i) q^{16} +(-16.2050 - 35.4840i) q^{17} +(28.0076 - 97.9957i) q^{18} +(12.7489 + 5.82223i) q^{19} +(107.209 + 84.3103i) q^{20} +(66.1275 - 69.8555i) q^{21} +(32.5745 - 18.8069i) q^{22} +(-106.696 + 27.9807i) q^{23} +(-23.7888 - 24.7694i) q^{24} +(16.7179 + 350.952i) q^{25} +(-94.8802 - 13.6417i) q^{26} +(134.177 - 40.9807i) q^{27} +(32.5916 + 110.997i) q^{28} +(12.8162 - 134.217i) q^{29} +(-39.1550 + 426.299i) q^{30} +(-94.6206 + 74.4104i) q^{31} +(223.531 - 54.2281i) q^{32} +(46.1063 + 23.5593i) q^{33} +(67.4746 + 130.882i) q^{34} +(-218.435 + 339.892i) q^{35} +(-38.5944 + 164.252i) q^{36} +(-82.7173 + 281.709i) q^{37} +(-49.1158 - 19.6630i) q^{38} +(-55.2464 - 119.827i) q^{39} +(117.503 + 83.6736i) q^{40} +(178.473 - 187.177i) q^{41} +(-236.789 + 275.269i) q^{42} +(-66.8373 + 84.9905i) q^{43} +(-52.3839 + 33.6651i) q^{44} +(-521.817 + 273.799i) q^{45} +(397.275 - 124.666i) q^{46} +(-477.691 - 275.795i) q^{47} +(282.795 + 267.703i) q^{48} +(0.287365 - 0.115043i) q^{49} +(-126.070 - 1320.27i) q^{50} +(-100.715 + 175.906i) q^{51} +(157.969 + 15.0842i) q^{52} +(190.376 + 219.706i) q^{53} +(-498.558 + 178.619i) q^{54} +(-208.669 - 61.2708i) q^{55} +(40.0169 + 115.621i) q^{56} +(-14.0404 - 71.4602i) q^{57} +(-24.2167 + 508.371i) q^{58} +(-26.7917 + 139.009i) q^{59} +(31.1670 - 708.015i) q^{60} +(-187.647 + 468.719i) q^{61} +(343.404 - 297.561i) q^{62} +(-495.234 - 67.5601i) q^{63} +(-257.842 + 75.7093i) q^{64} +(321.484 + 451.461i) q^{65} +(-178.077 - 80.5496i) q^{66} +(-16.2260 + 31.4741i) q^{67} +(-121.886 - 211.113i) q^{68} +(441.344 + 365.683i) q^{69} +(762.567 - 1320.80i) q^{70} +(46.7344 + 72.7201i) q^{71} +(-32.5067 + 175.465i) q^{72} +(-92.9007 + 203.424i) q^{73} +(261.289 - 1077.05i) q^{74} +(1430.99 - 1133.72i) q^{75} +(82.7670 + 28.6459i) q^{76} +(-114.026 - 144.996i) q^{77} +(229.830 + 441.886i) q^{78} +(1130.08 - 391.125i) q^{79} +(-1375.98 - 884.290i) q^{80} +(-579.476 - 442.321i) q^{81} +(-639.317 + 737.811i) q^{82} +(-377.060 + 359.526i) q^{83} +(369.871 - 473.838i) q^{84} +(278.463 - 804.566i) q^{85} +(236.746 - 332.463i) q^{86} +(-605.457 + 352.480i) q^{87} +(-53.6463 + 38.2013i) q^{88} +(-148.366 + 1031.91i) q^{89} +(1918.35 - 1126.09i) q^{90} +470.085i q^{91} +(-647.115 + 237.442i) q^{92} +(600.778 + 174.052i) q^{93} +(1850.68 + 954.092i) q^{94} +(113.689 + 283.982i) q^{95} +(-906.084 - 779.420i) q^{96} +(315.872 + 76.6297i) q^{97} +(-1.06285 + 0.485388i) q^{98} +(-40.2090 - 266.018i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) \) 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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