LMFDB - Embedded newform 201.4.i.a.25.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,4,Mod(22,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(201, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 20]))

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

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

chi := DirichletCharacter("201.22");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	201.i (of order $11$, degree $10$, 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:	$11.8593839112$
Analytic rank:	$0$
Dimension:	$170$
Relative dimension:	$17$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			25.1
Character	$\chi$	$=$	201.25
Dual form			201.4.i.a.193.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.736275 - 5.12091i) q^{2} +(-1.96458 + 2.26725i) q^{3} +(-18.0056 + 5.28693i) q^{4} +(8.38592 - 5.38931i) q^{5} +(13.0568 + 8.39112i) q^{6} +(3.11844 + 21.6892i) q^{7} +(23.1376 + 50.6642i) q^{8} +(-1.28083 - 8.90839i) q^{9} +O(q^{10})$	\(q+(-0.736275 - 5.12091i) q^{2} +(-1.96458 + 2.26725i) q^{3} +(-18.0056 + 5.28693i) q^{4} +(8.38592 - 5.38931i) q^{5} +(13.0568 + 8.39112i) q^{6} +(3.11844 + 21.6892i) q^{7} +(23.1376 + 50.6642i) q^{8} +(-1.28083 - 8.90839i) q^{9} +(-33.7725 - 38.9755i) q^{10} +(27.5008 - 17.6737i) q^{11} +(23.3868 - 51.2099i) q^{12} +(7.85610 - 17.2025i) q^{13} +(108.772 - 31.9384i) q^{14} +(-4.25594 + 29.6007i) q^{15} +(116.117 - 74.6238i) q^{16} +(68.3394 + 20.0663i) q^{17} +(-44.6760 + 13.1181i) q^{18} +(6.43682 - 44.7690i) q^{19} +(-122.501 + 141.374i) q^{20} +(-55.3012 - 35.5399i) q^{21} +(-110.754 - 127.816i) q^{22} +(93.2869 - 107.659i) q^{23} +(-160.324 - 47.0754i) q^{24} +(-10.6478 + 23.3154i) q^{25} +(-93.8764 - 27.5646i) q^{26} +(22.7138 + 14.5973i) q^{27} +(-170.819 - 374.041i) q^{28} -206.623 q^{29} +154.716 q^{30} +(-49.3138 - 107.982i) q^{31} +(-175.843 - 202.933i) q^{32} +(-13.9569 + 97.0726i) q^{33} +(52.4409 - 364.734i) q^{34} +(143.041 + 165.078i) q^{35} +(70.1603 + 153.630i) q^{36} +333.382 q^{37} -233.997 q^{38} +(23.5683 + 51.6074i) q^{39} +(467.075 + 300.171i) q^{40} +(272.063 + 79.8849i) q^{41} +(-141.280 + 309.360i) q^{42} +(-114.044 - 33.4862i) q^{43} +(-401.730 + 463.621i) q^{44} +(-58.7510 - 67.8023i) q^{45} +(-619.996 - 398.447i) q^{46} +(182.559 - 210.685i) q^{47} +(-58.9305 + 409.870i) q^{48} +(-131.591 + 38.6385i) q^{49} +(127.235 + 37.3597i) q^{50} +(-179.754 + 115.521i) q^{51} +(-50.5059 + 351.276i) q^{52} +(-198.182 + 58.1914i) q^{53} +(58.0278 - 127.063i) q^{54} +(135.371 - 296.421i) q^{55} +(-1026.71 + 659.829i) q^{56} +(88.8569 + 102.546i) q^{57} +(152.132 + 1058.10i) q^{58} +(-361.860 - 792.363i) q^{59} +(-79.8661 - 555.481i) q^{60} +(267.297 + 171.781i) q^{61} +(-516.658 + 332.036i) q^{62} +(189.222 - 55.5605i) q^{63} +(-186.618 + 215.369i) q^{64} +(-26.8287 - 186.597i) q^{65} +507.376 q^{66} +(448.306 - 315.888i) q^{67} -1336.58 q^{68} +(60.8196 + 423.009i) q^{69} +(740.031 - 854.041i) q^{70} +(965.670 - 283.546i) q^{71} +(421.701 - 271.011i) q^{72} +(592.333 + 380.669i) q^{73} +(-245.461 - 1707.22i) q^{74} +(-31.9433 - 69.9461i) q^{75} +(120.792 + 840.126i) q^{76} +(469.088 + 541.356i) q^{77} +(246.924 - 158.688i) q^{78} +(102.308 - 224.023i) q^{79} +(571.577 - 1251.58i) q^{80} +(-77.7189 + 22.8203i) q^{81} +(208.770 - 1452.03i) q^{82} +(-784.686 + 504.287i) q^{83} +(1183.63 + 347.546i) q^{84} +(681.233 - 200.028i) q^{85} +(-87.5123 + 608.661i) q^{86} +(405.928 - 468.466i) q^{87} +(1531.73 + 984.381i) q^{88} +(121.961 + 140.750i) q^{89} +(-303.952 + 350.780i) q^{90} +(397.606 + 116.748i) q^{91} +(-1110.51 + 2431.67i) q^{92} +(341.704 + 100.333i) q^{93} +(-1213.31 - 779.747i) q^{94} +(-187.295 - 410.120i) q^{95} +805.557 q^{96} -679.015 q^{97} +(294.751 + 645.415i) q^{98} +(-192.668 - 222.351i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 170 q + 2 q^{2} - 51 q^{3} - 82 q^{4} + 4 q^{5} - 27 q^{6} - 16 q^{7} - 177 q^{8} - 153 q^{9}+O(q^{10}) $ 170 * q + 2 * q^2 - 51 * q^3 - 82 * q^4 + 4 * q^5 - 27 * q^6 - 16 * q^7 - 177 * q^8 - 153 * q^9	\( 170 q + 2 q^{2} - 51 q^{3} - 82 q^{4} + 4 q^{5} - 27 q^{6} - 16 q^{7} - 177 q^{8} - 153 q^{9} + 49 q^{10} + 144 q^{11} - 81 q^{12} + 20 q^{13} - 146 q^{14} - 54 q^{15} - 458 q^{16} + 38 q^{17} + 18 q^{18} + 152 q^{19} + 284 q^{20} - 48 q^{21} + 133 q^{22} + 366 q^{23} + 162 q^{24} - 333 q^{25} - 220 q^{26} - 459 q^{27} + 1621 q^{28} - 1448 q^{29} - 414 q^{30} - 670 q^{31} - 301 q^{32} + 234 q^{33} + 78 q^{34} + 1476 q^{35} - 243 q^{36} - 3030 q^{37} - 356 q^{38} + 60 q^{39} + 637 q^{40} - 882 q^{41} - 1098 q^{42} + 2702 q^{43} - 951 q^{44} + 36 q^{45} - 483 q^{46} + 776 q^{47} - 1374 q^{48} + 1433 q^{49} + 3267 q^{50} + 378 q^{51} + 4474 q^{52} + 2840 q^{53} + 54 q^{54} + 1982 q^{55} + 3828 q^{56} + 489 q^{57} + 1740 q^{58} - 1136 q^{59} - 3339 q^{60} - 868 q^{61} + 452 q^{62} + 1341 q^{63} + 515 q^{64} + 3852 q^{65} - 2604 q^{66} - 1061 q^{67} - 32806 q^{68} - 1278 q^{69} - 2584 q^{70} + 4000 q^{71} - 306 q^{72} + 7155 q^{73} + 1288 q^{74} - 999 q^{75} - 2884 q^{76} - 2246 q^{77} + 792 q^{78} + 2513 q^{79} + 22708 q^{80} - 1377 q^{81} - 6136 q^{82} + 2308 q^{83} + 2718 q^{84} - 6494 q^{85} + 124 q^{86} + 738 q^{87} + 2782 q^{88} + 1050 q^{89} + 441 q^{90} - 2750 q^{91} + 1272 q^{92} + 1422 q^{93} + 2292 q^{94} - 766 q^{95} + 252 q^{96} - 7450 q^{97} + 3195 q^{98} - 288 q^{99}+O(q^{100}) \) 170 * q + 2 * q^2 - 51 * q^3 - 82 * q^4 + 4 * q^5 - 27 * q^6 - 16 * q^7 - 177 * q^8 - 153 * q^9 + 49 * q^10 + 144 * q^11 - 81 * q^12 + 20 * q^13 - 146 * q^14 - 54 * q^15 - 458 * q^16 + 38 * q^17 + 18 * q^18 + 152 * q^19 + 284 * q^20 - 48 * q^21 + 133 * q^22 + 366 * q^23 + 162 * q^24 - 333 * q^25 - 220 * q^26 - 459 * q^27 + 1621 * q^28 - 1448 * q^29 - 414 * q^30 - 670 * q^31 - 301 * q^32 + 234 * q^33 + 78 * q^34 + 1476 * q^35 - 243 * q^36 - 3030 * q^37 - 356 * q^38 + 60 * q^39 + 637 * q^40 - 882 * q^41 - 1098 * q^42 + 2702 * q^43 - 951 * q^44 + 36 * q^45 - 483 * q^46 + 776 * q^47 - 1374 * q^48 + 1433 * q^49 + 3267 * q^50 + 378 * q^51 + 4474 * q^52 + 2840 * q^53 + 54 * q^54 + 1982 * q^55 + 3828 * q^56 + 489 * q^57 + 1740 * q^58 - 1136 * q^59 - 3339 * q^60 - 868 * q^61 + 452 * q^62 + 1341 * q^63 + 515 * q^64 + 3852 * q^65 - 2604 * q^66 - 1061 * q^67 - 32806 * q^68 - 1278 * q^69 - 2584 * q^70 + 4000 * q^71 - 306 * q^72 + 7155 * q^73 + 1288 * q^74 - 999 * q^75 - 2884 * q^76 - 2246 * q^77 + 792 * q^78 + 2513 * q^79 + 22708 * q^80 - 1377 * q^81 - 6136 * q^82 + 2308 * q^83 + 2718 * q^84 - 6494 * q^85 + 124 * q^86 + 738 * q^87 + 2782 * q^88 + 1050 * q^89 + 441 * q^90 - 2750 * q^91 + 1272 * q^92 + 1422 * q^93 + 2292 * q^94 - 766 * q^95 + 252 * q^96 - 7450 * q^97 + 3195 * q^98 - 288 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/201\mathbb{Z}\right)^\times$.

$n$	$68$	$136$
$\chi(n)$	$1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	−0.736275	−	5.12091i	−0.260313	−	1.81051i	−0.530477	−	0.847700i	$-0.677987\pi$
$2$	−0.736275	−	5.12091i	−0.260313	−	1.81051i	0.270164	−	0.962814i	$-0.412922\pi$
$3$	−1.96458	+	2.26725i	−0.378084	+	0.436332i
$3$	−1.96458	+	2.26725i	−0.378084	+	0.436332i
$4$	−18.0056	+	5.28693i	−2.25070	+	0.660867i
$5$	8.38592	−	5.38931i	0.750060	−	0.482034i	−0.108916	−	0.994051i	$-0.534738\pi$
$5$	8.38592	−	5.38931i	0.750060	−	0.482034i	0.858975	+	0.512017i	$0.171101\pi$
$6$	13.0568	+	8.39112i	0.888406	+	0.570944i
$7$	3.11844	+	21.6892i	0.168380	+	1.17111i	0.882234	+	0.470812i	$0.156039\pi$
$7$	3.11844	+	21.6892i	0.168380	+	1.17111i	−0.713854	+	0.700295i	$0.753052\pi$
$8$	23.1376	+	50.6642i	1.02255	+	2.23906i
$9$	−1.28083	−	8.90839i	−0.0474383	−	0.329940i
$10$	−33.7725	−	38.9755i	−1.06798	−	1.23251i
$11$	27.5008	−	17.6737i	0.753801	−	0.484438i	−0.106445	−	0.994319i	$-0.533947\pi$
$11$	27.5008	−	17.6737i	0.753801	−	0.484438i	0.860245	+	0.509880i	$0.170310\pi$
$12$	23.3868	−	51.2099i	0.562598	−	1.23192i
$13$	7.85610	−	17.2025i	0.167607	−	0.367008i	−0.807127	−	0.590378i	$-0.798979\pi$
$13$	7.85610	−	17.2025i	0.167607	−	0.367008i	0.974734	+	0.223370i	$0.0717059\pi$
$14$	108.772	−	31.9384i	2.07647	−	0.609708i
$15$	−4.25594	+	29.6007i	−0.0732586	+	0.509525i
$16$	116.117	−	74.6238i	1.81433	−	1.16600i
$17$	68.3394	+	20.0663i	0.974985	+	0.286282i	0.730153	−	0.683284i	$-0.239449\pi$
$17$	68.3394	+	20.0663i	0.974985	+	0.286282i	0.244833	+	0.969565i	$0.421267\pi$
$18$	−44.6760	+	13.1181i	−0.585013	+	0.171775i
$19$	6.43682	−	44.7690i	0.0777214	−	0.540564i	−0.913344	−	0.407189i	$-0.866509\pi$
$19$	6.43682	−	44.7690i	0.0777214	−	0.540564i	0.991066	−	0.133376i	$-0.0425817\pi$
$20$	−122.501	+	141.374i	−1.36960	+	1.58061i
$21$	−55.3012	−	35.5399i	−0.574653	−	0.369307i
$22$	−110.754	−	127.816i	−1.07331	−	1.23866i
$23$	93.2869	−	107.659i	0.845725	−	0.976018i	−0.154203	−	0.988039i	$-0.549281\pi$
$23$	93.2869	−	107.659i	0.845725	−	0.976018i	0.999928	+	0.0120209i	$0.00382648\pi$
$24$	−160.324	−	47.0754i	−1.36358	−	0.400384i
$25$	−10.6478	+	23.3154i	−0.0851822	+	0.186523i
$26$	−93.8764	−	27.5646i	−0.708103	−	0.207918i
$27$	22.7138	+	14.5973i	0.161899	+	0.104046i
$28$	−170.819	−	374.041i	−1.15292	−	2.52454i
$29$	−206.623			−1.32307			−0.661534	−	0.749915i	$-0.730094\pi$
$29$	−206.623			−1.32307			−0.661534	+	0.749915i	$0.730094\pi$
$30$	154.716			0.941572
$31$	−49.3138	−	107.982i	−0.285710	−	0.625618i	0.711300	−	0.702889i	$-0.248107\pi$
$31$	−49.3138	−	107.982i	−0.285710	−	0.625618i	−0.997010	+	0.0772703i	$0.975380\pi$
$32$	−175.843	−	202.933i	−0.971402	−	1.12106i
$33$	−13.9569	+	97.0726i	−0.0736240	+	0.512066i
$34$	52.4409	−	364.734i	0.264516	−	1.83975i
$35$	143.041	+	165.078i	0.690808	+	0.797235i
$36$	70.1603	+	153.630i	0.324816	+	0.711248i
$37$	333.382			1.48129			0.740643	−	0.671899i	$-0.234521\pi$
$37$	333.382			1.48129			0.740643	+	0.671899i	$0.234521\pi$
$38$	−233.997			−0.998931
$39$	23.5683	+	51.6074i	0.0967679	+	0.211892i
$40$	467.075	+	300.171i	1.84628	+	1.18653i
$41$	272.063	+	79.8849i	1.03632	+	0.304291i	0.755278	−	0.655404i	$-0.227502\pi$
$41$	272.063	+	79.8849i	1.03632	+	0.304291i	0.281042	+	0.959695i	$0.409320\pi$
$42$	−141.280	+	309.360i	−0.519046	+	1.13655i
$43$	−114.044	−	33.4862i	−0.404453	−	0.118758i	0.0731775	−	0.997319i	$-0.476686\pi$
$43$	−114.044	−	33.4862i	−0.404453	−	0.118758i	−0.477630	+	0.878561i	$0.658504\pi$
$44$	−401.730	+	463.621i	−1.37643	+	1.58849i
$45$	−58.7510	−	67.8023i	−0.194624	−	0.224608i
$46$	−619.996	−	398.447i	−1.98725	−	1.27713i
$47$	182.559	−	210.685i	0.566575	−	0.653862i	−0.398089	−	0.917347i	$-0.630326\pi$
$47$	182.559	−	210.685i	0.566575	−	0.653862i	0.964664	+	0.263485i	$0.0848719\pi$
$48$	−58.9305	+	409.870i	−0.177206	+	1.23249i
$49$	−131.591	+	38.6385i	−0.383646	+	0.112649i
$50$	127.235	+	37.3597i	0.359876	+	0.105669i
$51$	−179.754	+	115.521i	−0.493540	+	0.317179i
$52$	−50.5059	+	351.276i	−0.134690	+	0.936793i
$53$	−198.182	+	58.1914i	−0.513629	+	0.150815i	−0.528268	−	0.849078i	$-0.677158\pi$
$53$	−198.182	+	58.1914i	−0.513629	+	0.150815i	0.0146386	+	0.999893i	$0.495340\pi$
$54$	58.0278	−	127.063i	0.146233	−	0.320206i
$55$	135.371	−	296.421i	0.331880	−	0.726716i
$56$	−1026.71	+	659.829i	−2.45001	+	1.57452i
$57$	88.8569	+	102.546i	0.206480	+	0.238291i
$58$	152.132	+	1058.10i	0.344411	+	2.39543i
$59$	−361.860	−	792.363i	−0.798478	−	1.74842i	−0.650606	−	0.759416i	$-0.725485\pi$
$59$	−361.860	−	792.363i	−0.798478	−	1.74842i	−0.147872	−	0.989006i	$-0.547242\pi$
$60$	−79.8661	−	555.481i	−0.171844	−	1.19520i
$61$	267.297	+	171.781i	0.561047	+	0.360563i	0.790220	−	0.612823i	$-0.209966\pi$
$61$	267.297	+	171.781i	0.561047	+	0.360563i	−0.229174	+	0.973386i	$0.573602\pi$
$62$	−516.658	+	332.036i	−1.05832	+	0.680139i
$63$	189.222	−	55.5605i	0.378408	−	0.111111i
$64$	−186.618	+	215.369i	−0.364489	+	0.420643i
$65$	−26.8287	−	186.597i	−0.0511952	−	0.356070i
$66$	507.376			0.946268
$67$	448.306	−	315.888i	0.817452	−	0.575997i
$67$	448.306	−	315.888i	0.817452	−	0.575997i
$68$	−1336.58			−2.38360
$69$	60.8196	+	423.009i	0.106113	+	0.738034i
$70$	740.031	−	854.041i	1.26358	−	1.45825i
$71$	965.670	−	283.546i	1.61414	−	0.473954i	0.654705	−	0.755884i	$-0.272793\pi$
$71$	965.670	−	283.546i	1.61414	−	0.473954i	0.959435	+	0.281930i	$0.0909746\pi$
$72$	421.701	−	271.011i	0.690250	−	0.443597i
$73$	592.333	+	380.669i	0.949689	+	0.610328i	0.921126	−	0.389264i	$-0.127271\pi$
$73$	592.333	+	380.669i	0.949689	+	0.610328i	0.0285627	+	0.999592i	$0.490907\pi$
$74$	−245.461	−	1707.22i	−0.385597	−	2.68189i
$75$	−31.9433	−	69.9461i	−0.0491799	−	0.107689i
$76$	120.792	+	840.126i	0.182313	+	1.26801i
$77$	469.088	+	541.356i	0.694254	+	0.801212i
$78$	246.924	−	158.688i	0.358444	−	0.230358i
$79$	102.308	−	224.023i	0.145703	−	0.319045i	−0.822683	−	0.568500i	$-0.807524\pi$
$79$	102.308	−	224.023i	0.145703	−	0.319045i	0.968386	+	0.249455i	$0.0802513\pi$
$80$	571.577	−	1251.58i	0.798803	−	1.74913i
$81$	−77.7189	+	22.8203i	−0.106610	+	0.0313036i
$82$	208.770	−	1452.03i	0.281156	−	1.95548i
$83$	−784.686	+	504.287i	−1.03772	+	0.666900i	−0.944421	−	0.328739i	$-0.893376\pi$
$83$	−784.686	+	504.287i	−1.03772	+	0.666900i	−0.0932954	+	0.995638i	$0.529740\pi$
$84$	1183.63	+	347.546i	1.53744	+	0.451432i
$85$	681.233	−	200.028i	0.869295	−	0.255248i
$86$	−87.5123	+	608.661i	−0.109729	+	0.763182i
$87$	405.928	−	468.466i	0.500231	−	0.577297i
$88$	1531.73	+	984.381i	1.85548	+	1.19245i
$89$	121.961	+	140.750i	0.145256	+	0.167635i	0.823715	−	0.567004i	$-0.191897\pi$
$89$	121.961	+	140.750i	0.145256	+	0.167635i	−0.678459	+	0.734638i	$0.737352\pi$
$90$	−303.952	+	350.780i	−0.355993	+	0.410838i
$91$	397.606	+	116.748i	0.458027	+	0.134489i
$92$	−1110.51	+	2431.67i	−1.25846	+	2.75564i
$93$	341.704	+	100.333i	0.381000	+	0.111872i
$94$	−1213.31	−	779.747i	−1.33131	−	0.855583i
$95$	−187.295	−	410.120i	−0.202275	−	0.442920i
$96$	805.557			0.856425
$97$	−679.015			−0.710758			−0.355379	−	0.934722i	$-0.615648\pi$
$97$	−679.015			−0.710758			−0.355379	+	0.934722i	$0.615648\pi$
$98$	294.751	+	645.415i	0.303820	+	0.665273i
$99$	−192.668	−	222.351i	−0.195595	−	0.225728i
$100$	68.4531	−	476.102i	0.0684531	−	0.476102i
$101$	65.7818	−	457.523i	0.0648073	−	0.450745i	−0.931419	−	0.363949i	$-0.881428\pi$
$101$	65.7818	−	457.523i	0.0648073	−	0.450745i	0.996226	−	0.0867956i	$-0.0276627\pi$
$102$	723.919	+	835.447i	0.702732	+	0.810996i
$103$	−207.429	−	454.206i	−0.198433	−	0.434507i	0.784091	−	0.620646i	$-0.213130\pi$
$103$	−207.429	−	454.206i	−0.198433	−	0.434507i	−0.982523	+	0.186139i	$0.940402\pi$
$104$	1053.32			0.993140
$105$	−655.288			−0.609043
$106$	443.909	+	972.025i	0.406757	+	0.890674i
$107$	1737.65	+	1116.72i	1.56995	+	1.00895i	0.979396	+	0.201948i	$0.0647271\pi$
$107$	1737.65	+	1116.72i	1.56995	+	1.00895i	0.590554	+	0.806998i	$0.298909\pi$
$108$	−486.152	−	142.747i	−0.433148	−	0.127184i
$109$	−143.725	+	314.713i	−0.126297	+	0.276551i	−0.962209	−	0.272312i	$-0.912212\pi$
$109$	−143.725	+	314.713i	−0.126297	+	0.276551i	0.835912	+	0.548863i	$0.184939\pi$
$110$	−1617.61	−	474.974i	−1.40212	−	0.411700i
$111$	−654.955	+	755.859i	−0.560051	+	0.646333i
$112$	1980.63	+	2285.77i	1.67100	+	1.92844i
$113$	−211.612	−	135.995i	−0.176166	−	0.113215i	0.449586	−	0.893237i	$-0.351572\pi$
$113$	−211.612	−	135.995i	−0.176166	−	0.113215i	−0.625752	+	0.780022i	$0.715208\pi$
$114$	459.707	−	530.530i	0.377680	−	0.435866i
$115$	202.091	−	1405.57i	0.163870	−	1.13974i
$116$	3720.38	−	1092.40i	2.97783	−	0.874371i
$117$	−163.309	−	47.9517i	−0.129042	−	0.0378901i
$118$	−3791.19	+	2436.45i	−2.95769	+	1.90079i
$119$	−222.109	+	1544.80i	−0.171098	+	1.19002i
$120$	−1598.17	+	469.265i	−1.21577	+	0.356982i
$121$	−108.982	+	238.638i	−0.0818799	+	0.179292i
$122$	682.871	−	1495.28i	0.506756	−	1.10964i
$123$	−715.609	+	459.894i	−0.524588	+	0.337132i
$124$	1458.82	+	1683.57i	1.05650	+	1.21927i
$125$	213.693	+	1486.27i	0.152906	+	1.06349i
$126$	−423.839	−	928.079i	−0.299672	−	0.656189i
$127$	−151.564	−	1054.15i	−0.105899	−	0.736541i	−0.971711	−	0.236172i	$-0.924107\pi$
$127$	−151.564	−	1054.15i	−0.105899	−	0.736541i	0.865813	−	0.500368i	$-0.166802\pi$
$128$	−566.854	−	364.295i	−0.391432	−	0.251558i
$129$	299.969	−	192.779i	0.204735	−	0.131575i
$130$	−935.795	+	274.774i	−0.631343	+	0.185379i
$131$	−1330.44	+	1535.41i	−0.887336	+	1.02404i	0.112203	+	0.993685i	$0.464209\pi$
$131$	−1330.44	+	1535.41i	−0.887336	+	1.02404i	−0.999539	+	0.0303552i	$0.990336\pi$
$132$	−261.913	−	1821.64i	−0.172701	−	1.20117i
$133$	991.077			0.646145
$134$	−1947.71	−	2063.15i	−1.25564	−	1.33007i
$135$	269.146			0.171588
$136$	564.567	+	3926.65i	0.355965	+	2.47579i
$137$	1666.85	−	1923.64i	1.03948	−	1.19962i	0.0599706	−	0.998200i	$-0.480899\pi$
$137$	1666.85	−	1923.64i	1.03948	−	1.19962i	0.979505	−	0.201419i	$-0.0645553\pi$
$138$	2121.41	−	622.902i	1.30860	−	0.384239i
$139$	−155.422	+	99.8835i	−0.0948396	+	0.0609497i	−0.587201	−	0.809441i	$-0.699770\pi$
$139$	−155.422	+	99.8835i	−0.0948396	+	0.0609497i	0.492361	+	0.870391i	$0.336134\pi$
$140$	−3448.29	−	2216.08i	−2.08167	−	1.33781i
$141$	119.022	+	827.815i	0.0710883	+	0.494430i
$142$	−2163.01	−	4736.34i	−1.27828	−	2.79905i
$143$	−87.9820	−	611.928i	−0.0514505	−	0.357846i
$144$	−813.504	−	938.834i	−0.470778	−	0.543307i
$145$	−1732.73	+	1113.56i	−0.992380	+	0.637764i
$146$	1513.25	−	3313.56i	0.857791	−	1.87830i
$147$	170.918	−	374.257i	0.0958983	−	0.209988i
$148$	−6002.75	+	1762.57i	−3.33394	+	0.978932i
$149$	−474.893	+	3302.96i	−0.261106	+	1.81603i	0.263470	+	0.964668i	$0.415133\pi$
$149$	−474.893	+	3302.96i	−0.261106	+	1.81603i	−0.524576	+	0.851364i	$0.675776\pi$
$150$	−334.668	+	215.078i	−0.182170	+	0.117074i
$151$	−1503.37	−	441.429i	−0.810214	−	0.237900i	−0.149717	−	0.988729i	$-0.547836\pi$
$151$	−1503.37	−	441.429i	−0.810214	−	0.237900i	−0.660497	+	0.750829i	$0.729654\pi$
$152$	2417.12	−	709.731i	1.28983	−	0.378729i
$153$	91.2268	−	634.496i	0.0482042	−	0.335268i
$154$	2426.86	−	2800.74i	1.26988	−	1.46552i
$155$	−995.491	−	639.763i	−0.515869	−	0.331529i
$156$	−697.207	−	804.620i	−0.357828	−	0.412956i
$157$	−1238.54	+	1429.35i	−0.629595	+	0.726591i	−0.977499	−	0.210939i	$-0.932348\pi$
$157$	−1238.54	+	1429.35i	−0.629595	+	0.726591i	0.347905	+	0.937530i	$0.386893\pi$
$158$	−1222.53	−	358.967i	−0.615564	−	0.180746i
$159$	257.410	−	563.649i	0.128390	−	0.281134i
$160$	−2568.27	−	754.113i	−1.26900	−	0.372612i
$161$	2625.94	+	1687.59i	1.28542	+	0.826092i
$162$	174.083	+	381.189i	0.0844276	+	0.184871i
$163$	−3681.34			−1.76899			−0.884494	−	0.466551i	$-0.845496\pi$
$163$	−3681.34			−1.76899			−0.884494	+	0.466551i	$0.845496\pi$
$164$	−5321.02			−2.53355
$165$	406.112	+	889.262i	0.191611	+	0.419569i
$166$	3160.15	+	3647.01i	1.47756	+	1.70520i
$167$	−431.232	+	2999.29i	−0.199819	+	1.38977i	0.604988	+	0.796235i	$0.293178\pi$
$167$	−431.232	+	2999.29i	−0.199819	+	1.38977i	−0.804807	+	0.593537i	$0.797731\pi$
$168$	521.067	−	3624.10i	0.239293	−	1.66432i
$169$	1204.52	+	1390.09i	0.548258	+	0.632723i
$170$	−1525.90	−	3341.25i	−0.688418	−	1.50743i
$171$	−407.065			−0.182041
$172$	2230.47			0.988787
$173$	600.314	+	1314.50i	0.263821	+	0.577688i	0.994465	−	0.105072i	$-0.0335071\pi$
$173$	600.314	+	1314.50i	0.263821	+	0.577688i	−0.730644	+	0.682759i	$0.760780\pi$
$174$	−2697.85	−	1733.80i	−1.17542	−	0.755397i
$175$	−538.896	−	158.234i	−0.232781	−	0.0683507i
$176$	1874.43	−	4104.43i	0.802787	−	1.75786i
$177$	2507.39	+	736.236i	1.06478	+	0.312649i
$178$	630.971	−	728.179i	0.265693	−	0.306626i
$179$	1784.47	+	2059.39i	0.745126	+	0.859921i	0.994086	−	0.108593i	$-0.0346345\pi$
$179$	1784.47	+	2059.39i	0.745126	+	0.859921i	−0.248961	+	0.968514i	$0.580089\pi$
$180$	1416.32	+	910.211i	0.586478	+	0.376906i
$181$	193.655	−	223.489i	0.0795261	−	0.0917780i	−0.714592	−	0.699541i	$-0.753388\pi$
$181$	193.655	−	223.489i	0.0795261	−	0.0917780i	0.794118	+	0.607763i	$0.207933\pi$
$182$	305.107	−	2122.06i	0.124264	−	0.864274i
$183$	−914.597	+	268.550i	−0.369448	+	0.108480i
$184$	7612.89	+	2235.34i	3.05016	+	0.895608i
$185$	2795.71	−	1796.70i	1.11105	−	0.714031i
$186$	262.209	−	1823.70i	0.103366	−	0.718927i
$187$	2234.04	−	655.972i	0.873630	−	0.256521i
$188$	−2173.22	+	4758.69i	−0.843077	+	1.84608i
$189$	−245.772	+	538.166i	−0.0945888	+	0.207121i
$190$	−1962.28	+	1261.08i	−0.749258	+	0.481519i
$191$	515.878	+	595.355i	0.195433	+	0.225541i	0.845005	−	0.534759i	$-0.179597\pi$
$191$	515.878	+	595.355i	0.195433	+	0.225541i	−0.649572	+	0.760300i	$0.725052\pi$
$192$	−121.668	−	846.220i	−0.0457325	−	0.318076i
$193$	−949.305	−	2078.69i	−0.354054	−	0.775271i	−0.999930	−	0.0118284i	$-0.996235\pi$
$193$	−949.305	−	2078.69i	−0.354054	−	0.775271i	0.645876	−	0.763443i	$-0.276492\pi$
$194$	499.942	+	3477.17i	0.185019	+	1.28684i
$195$	475.770	+	305.759i	0.174721	+	0.112286i
$196$	2165.10	−	1391.42i	0.789029	−	0.507078i
$197$	−2170.12	+	637.203i	−0.784844	+	0.230451i	−0.649514	−	0.760350i	$-0.725028\pi$
$197$	−2170.12	+	637.203i	−0.784844	+	0.230451i	−0.135330	+	0.990801i	$0.543209\pi$
$198$	−996.782	+	1150.35i	−0.357769	+	0.412887i
$199$	193.460	+	1345.55i	0.0689148	+	0.479313i	0.994828	+	0.101576i	$0.0323885\pi$
$199$	193.460	+	1345.55i	0.0689148	+	0.479313i	−0.925913	+	0.377737i	$0.876702\pi$
$200$	−1427.62			−0.504739
$201$	−164.537	+	1637.01i	−0.0577392	+	0.574456i
$202$	−2391.36			−0.832950
$203$	−644.341	−	4481.49i	−0.222778	−	1.54945i
$204$	2625.83	−	3030.37i	0.901200	−	1.04004i
$205$	2712.03	−	796.322i	0.923981	−	0.271305i
$206$	−2173.22	+	1396.64i	−0.735027	+	0.472373i
$207$	−1078.55	−	693.143i	−0.362148	−	0.232738i
$208$	−371.487	−	2583.75i	−0.123836	−	0.861301i
$209$	−614.217	−	1344.95i	−0.203284	−	0.445129i
$210$	482.472	+	3355.67i	0.158542	+	1.10268i
$211$	472.937	+	545.798i	0.154305	+	0.178077i	0.827639	−	0.561261i	$-0.189684\pi$
$211$	472.937	+	545.798i	0.154305	+	0.178077i	−0.673334	+	0.739339i	$0.735138\pi$
$212$	3260.74	−	2095.55i	1.05636	−	0.678881i
$213$	−1254.27	+	2746.46i	−0.403479	+	0.883496i
$214$	4439.22	−	9720.54i	1.41803	−	3.10506i
$215$	−1136.83	+	333.803i	−0.360609	+	0.105884i
$216$	−214.018	+	1488.53i	−0.0674169	+	0.468895i
$217$	2188.27	−	1406.31i	0.684558	−	0.439939i
$218$	1717.44	+	504.286i	0.533576	+	0.156672i
$219$	−2026.76	+	595.110i	−0.625368	+	0.183625i
$220$	−870.281	+	6052.94i	−0.266702	+	1.85495i
$221$	882.071	−	1017.96i	0.268482	−	0.309845i
$222$	4352.91	+	2797.45i	1.31598	+	0.845731i
$223$	−2398.33	−	2767.82i	−0.720198	−	0.831153i	0.271133	−	0.962542i	$-0.412602\pi$
$223$	−2398.33	−	2767.82i	−0.720198	−	0.831153i	−0.991331	+	0.131389i	$0.958056\pi$
$224$	3853.10	−	4446.72i	1.14931	−	1.32638i
$225$	221.340	+	64.9914i	0.0655824	+	0.0192567i
$226$	−540.612	+	1183.78i	−0.159119	+	0.348423i
$227$	−2065.38	−	606.451i	−0.603896	−	0.177320i	−0.0345294	−	0.999404i	$-0.510993\pi$
$227$	−2065.38	−	606.451i	−0.603896	−	0.177320i	−0.569366	+	0.822084i	$0.692811\pi$
$228$	−2142.08	−	1376.63i	−0.622205	−	0.399867i
$229$	642.601	+	1407.10i	0.185433	+	0.406043i	0.979403	−	0.201915i	$-0.0647164\pi$
$229$	642.601	+	1407.10i	0.185433	+	0.406043i	−0.793970	+	0.607957i	$0.791989\pi$
$230$	−7346.59			−2.10617
$231$	−2148.95			−0.612081
$232$	−4780.76	−	10468.4i	−1.35290	−	2.96243i
$233$	−4322.42	−	4988.33i	−1.21533	−	1.40256i	−0.889378	−	0.457173i	$-0.848862\pi$
$233$	−4322.42	−	4988.33i	−1.21533	−	1.40256i	−0.325948	−	0.945388i	$-0.605683\pi$
$234$	−125.316	+	871.594i	−0.0350093	+	0.243495i
$235$	395.484	−	2750.65i	0.109781	−	0.763544i
$236$	10704.7	+	12353.9i	2.95261	+	3.40750i
$237$	306.924	+	672.069i	0.0841217	+	0.184201i
$238$	8074.33			2.19908
$239$	−3202.97			−0.866875			−0.433438	−	0.901184i	$-0.642700\pi$
$239$	−3202.97			−0.866875			−0.433438	+	0.901184i	$0.642700\pi$
$240$	1714.73	+	3754.74i	0.461189	+	1.00986i
$241$	−5511.67	−	3542.14i	−1.47319	−	0.946760i	−0.997752	−	0.0670090i	$-0.978654\pi$
$241$	−5511.67	−	3542.14i	−1.47319	−	0.946760i	−0.475435	−	0.879751i	$-0.657709\pi$
$242$	1302.28	+	382.384i	0.345925	+	0.101573i
$243$	100.946	−	221.041i	0.0266489	−	0.0583529i
$244$	−5721.04	−	1679.85i	−1.50103	−	0.440743i
$245$	−895.275	+	1033.20i	−0.233457	+	0.269424i
$246$	2881.96	+	3325.96i	0.746939	+	0.862014i
$247$	−719.569	−	462.439i	−0.185365	−	0.119127i
$248$	4329.83	−	4996.89i	1.10865	−	1.27945i
$249$	398.236	−	2769.79i	0.101354	−	0.704933i
$250$	7453.70	−	2188.60i	1.88565	−	0.553678i
$251$	7156.44	+	2101.32i	1.79964	+	0.528423i	0.997625	−	0.0688749i	$-0.0219409\pi$
$251$	7156.44	+	2101.32i	1.79964	+	0.528423i	0.802019	+	0.597298i	$0.203759\pi$
$252$	−3113.31	+	2000.81i	−0.778255	+	0.500154i
$253$	662.736	−	4609.43i	0.164687	−	1.14542i
$254$	−5286.61	+	1552.29i	−1.30595	+	0.383462i
$255$	−884.825	+	1937.50i	−0.217294	+	0.475807i
$256$	−2395.22	+	5244.80i	−0.584771	+	1.28047i
$257$	3316.28	−	2131.24i	0.804917	−	0.517289i	−0.0723001	−	0.997383i	$-0.523034\pi$
$257$	3316.28	−	2131.24i	0.804917	−	0.517289i	0.877217	+	0.480094i	$0.159398\pi$
$258$	−1208.06	−	1394.18i	−0.291514	−	0.336425i
$259$	1039.63	+	7230.78i	0.249419	+	1.73474i
$260$	1469.60	+	3217.97i	0.350540	+	0.767576i
$261$	264.650	+	1840.68i	0.0627640	+	0.436534i
$262$	8842.26	+	5682.57i	2.08502	+	1.33996i
$263$	5378.28	−	3456.41i	1.26099	−	0.810386i	0.272566	−	0.962137i	$-0.412128\pi$
$263$	5378.28	−	3456.41i	1.26099	−	0.810386i	0.988419	+	0.151751i	$0.0484912\pi$
$264$	−5241.04	+	1538.91i	−1.22183	+	0.358762i
$265$	−1348.33	+	1556.05i	−0.312555	+	0.360707i
$266$	−729.706	−	5075.21i	−0.168200	−	1.16985i
$267$	−558.717			−0.128063
$268$	−6401.95	+	8057.92i	−1.45918	+	1.83663i
$269$	−1816.30			−0.411680			−0.205840	−	0.978586i	$-0.565993\pi$
$269$	−1816.30			−0.411680			−0.205840	+	0.978586i	$0.565993\pi$
$270$	−198.165	−	1378.27i	−0.0446665	−	0.310663i
$271$	5085.95	−	5869.50i	1.14004	−	1.31567i	0.197983	−	0.980205i	$-0.436561\pi$
$271$	5085.95	−	5869.50i	1.14004	−	1.31567i	0.942052	−	0.335465i	$-0.108894\pi$
$272$	9432.79	−	2769.72i	2.10275	−	0.617422i
$273$	−1045.83	+	672.112i	−0.231855	+	0.149004i
$274$	−11078.0	−	7119.43i	−2.44252	−	1.56971i
$275$	119.246	+	829.377i	0.0261485	+	0.181867i
$276$	−3331.52	−	7295.00i	−0.726571	−	1.59097i
$277$	−575.715	−	4004.19i	−0.124879	−	0.868550i	−0.951906	−	0.306389i	$-0.900879\pi$
$277$	−575.715	−	4004.19i	−0.124879	−	0.868550i	0.827028	−	0.562161i	$-0.190030\pi$
$278$	625.927	+	722.359i	0.135038	+	0.155842i
$279$	−898.785	+	577.614i	−0.192863	+	0.123946i
$280$	−5053.92	+	11066.5i	−1.07868	+	2.36197i
$281$	−2235.73	+	4895.57i	−0.474636	+	1.03931i	0.509268	+	0.860608i	$0.329916\pi$
$281$	−2235.73	+	4895.57i	−0.474636	+	1.03931i	−0.983904	+	0.178700i	$0.942811\pi$
$282$	4151.53	−	1219.00i	0.876667	−	0.257413i
$283$	−839.149	+	5836.41i	−0.176262	+	1.22593i	0.689056	+	0.724708i	$0.258025\pi$
$283$	−839.149	+	5836.41i	−0.176262	+	1.22593i	−0.865318	+	0.501223i	$0.832884\pi$
$284$	−15888.4	+	10210.9i	−3.31973	+	2.13346i
$285$	1297.80	+	381.069i	0.269737	+	0.0792020i
$286$	−3068.85	+	901.095i	−0.634492	+	0.186304i
$287$	−884.229	+	6149.95i	−0.181862	+	1.26488i
$288$	−1582.58	+	1826.40i	−0.323801	+	0.373686i
$289$	134.546	+	86.4677i	0.0273858	+	0.0175998i
$290$	6978.18	+	8053.25i	1.41301	+	1.63070i
$291$	1333.98	−	1539.50i	0.268726	−	0.310127i
$292$	−12677.9	−	3722.57i	−2.54081	−	0.746051i
$293$	35.7625	−	78.3089i	0.00713060	−	0.0156138i	−0.906033	−	0.423207i	$-0.860904\pi$
$293$	35.7625	−	78.3089i	0.00713060	−	0.0156138i	0.913164	+	0.407593i	$0.133632\pi$
$294$	−2042.38	−	599.697i	−0.405150	−	0.118963i
$295$	−7304.82	−	4694.52i	−1.44171	−	0.926528i
$296$	7713.64	+	16890.5i	1.51468	+	3.31669i
$297$	882.638			0.172444
$298$	17263.8			3.35592
$299$	−1119.13	−	2450.54i	−0.216457	−	0.473975i
$300$	944.960	+	1090.54i	0.181858	+	0.209875i
$301$	370.651	−	2577.94i	0.0709767	−	0.493654i
$302$	−1153.62	+	8023.62i	−0.219813	+	1.52883i
$303$	908.084	+	1047.98i	0.172172	+	0.198697i
$304$	−2593.41	−	5678.78i	−0.489284	−	1.07138i
$305$	3167.31			0.594622
$306$	−3316.36			−0.619555
$307$	−254.323	−	556.891i	−0.0472801	−	0.103529i	0.884518	−	0.466506i	$-0.154488\pi$
$307$	−254.323	−	556.891i	−0.0472801	−	0.103529i	−0.931798	+	0.362977i	$0.881760\pi$
$308$	−11308.3	−	7267.43i	−2.09205	−	1.34448i
$309$	1437.31	+	422.032i	0.264614	+	0.0776976i
$310$	−2543.21	+	5568.86i	−0.465951	+	1.02029i
$311$	−3403.37	−	999.321i	−0.620539	−	0.182207i	−0.0436736	−	0.999046i	$-0.513906\pi$
$311$	−3403.37	−	999.321i	−0.620539	−	0.182207i	−0.576866	+	0.816839i	$0.695724\pi$
$312$	−2069.33	+	2388.14i	−0.375490	+	0.433339i
$313$	977.743	+	1128.38i	0.176566	+	0.203769i	0.837134	−	0.546998i	$-0.184230\pi$
$313$	977.743	+	1128.38i	0.176566	+	0.203769i	−0.660567	+	0.750767i	$0.729684\pi$
$314$	8231.49	+	5290.06i	1.47939	+	0.950749i
$315$	1287.37	−	1485.70i	0.230269	−	0.265745i
$316$	−657.724	+	4574.57i	−0.117088	+	0.814367i
$317$	5324.45	−	1563.40i	0.943378	−	0.277001i	0.226351	−	0.974046i	$-0.427320\pi$
$317$	5324.45	−	1563.40i	0.943378	−	0.277001i	0.717027	+	0.697045i	$0.245502\pi$
$318$	−3075.92	−	903.171i	−0.542418	−	0.159268i
$319$	−5682.31	+	3651.80i	−0.997329	+	0.640945i
$320$	−404.277	+	2811.81i	−0.0706244	+	0.491203i
$321$	−5945.63	+	1745.79i	−1.03381	+	0.303554i
$322$	6708.58	−	14689.7i	1.16104	−	2.54232i
$323$	1338.24	−	2930.33i	0.230531	−	0.504792i
$324$	1278.73	−	821.790i	0.219261	−	0.140910i
$325$	317.432	+	366.336i	0.0541783	+	0.0625251i
$326$	2710.48	+	18851.8i	0.460490	+	3.20278i
$327$	−431.174	−	944.140i	−0.0729174	−	0.159667i
$328$	2247.57	+	15632.2i	0.378358	+	2.63154i
$329$	5138.88	+	3302.56i	0.861142	+	0.553422i
$330$	4254.82	−	2734.41i	0.709758	−	0.456133i
$331$	−3421.20	+	1004.56i	−0.568115	+	0.166814i	−0.553161	−	0.833074i	$-0.686579\pi$
$331$	−3421.20	+	1004.56i	−0.568115	+	0.166814i	−0.0149545	+	0.999888i	$0.504760\pi$
$332$	11462.6	−	13228.6i	1.89486	−	2.18679i
$333$	−427.006	−	2969.89i	−0.0702697	−	0.488736i
$334$	15676.6			2.56822
$335$	2057.04	−	5065.07i	0.335487	−	0.826072i
$336$	−9073.53			−1.47322
$337$	−691.872	−	4812.07i	−0.111836	−	0.777835i	−0.966132	−	0.258048i	$-0.916921\pi$
$337$	−691.872	−	4812.07i	−0.111836	−	0.777835i	0.854296	−	0.519786i	$-0.173988\pi$
$338$	6231.68	−	7191.74i	1.00284	−	1.15733i
$339$	724.064	−	212.604i	0.116005	−	0.0340622i
$340$	−11208.5	+	7203.26i	−1.78784	+	1.14898i
$341$	−3264.62	−	2098.04i	−0.518442	−	0.333183i
$342$	299.712	+	2084.54i	0.0473876	+	0.329588i
$343$	1873.82	+	4103.09i	0.294976	+	0.645908i
$344$	−942.138	−	6552.72i	−0.147665	−	1.02703i
$345$	2789.75	+	3219.55i	0.435349	+	0.502419i
$346$	6289.46	−	4041.99i	0.977235	−	0.628031i
$347$	−191.434	+	419.182i	−0.0296159	+	0.0648497i	−0.923862	−	0.382726i	$-0.874985\pi$
$347$	−191.434	+	419.182i	−0.0296159	+	0.0648497i	0.894246	+	0.447576i	$0.147713\pi$
$348$	−4832.25	+	10581.1i	−0.744355	+	1.62991i
$349$	613.483	−	180.135i	0.0940945	−	0.0276286i	−0.234346	−	0.972153i	$-0.575295\pi$
$349$	613.483	−	180.135i	0.0940945	−	0.0276286i	0.328441	+	0.944525i	$0.393477\pi$
$350$	−413.526	+	2876.14i	−0.0631541	+	0.439246i
$351$	429.552	−	276.056i	0.0653213	−	0.0419795i
$352$	−8422.40	−	2473.04i	−1.27533	−	0.374470i
$353$	2193.58	−	644.092i	0.330743	−	0.0971150i	−0.112145	−	0.993692i	$-0.535772\pi$
$353$	2193.58	−	644.092i	0.330743	−	0.0971150i	0.442888	+	0.896577i	$0.353954\pi$
$354$	1924.07	−	13382.2i	0.288878	−	2.00919i
$355$	6569.92	−	7582.09i	0.982240	−	1.13356i
$356$	−2940.11	−	1889.50i	−0.437713	−	0.281301i
$357$	−3066.10	−	3538.47i	−0.454553	−	0.524582i
$358$	9232.07	−	10654.4i	1.36293	−	1.57291i
$359$	−4029.10	−	1183.05i	−0.592334	−	0.173925i	−0.0281918	−	0.999603i	$-0.508975\pi$
$359$	−4029.10	−	1183.05i	−0.592334	−	0.173925i	−0.564142	+	0.825678i	$0.690793\pi$
$360$	2075.79	−	4545.36i	0.303900	−	0.665448i
$361$	4618.33	+	1356.06i	0.673324	+	0.197706i
$362$	−1287.05	−	827.137i	−0.186867	−	0.120092i
$363$	−326.946	−	715.913i	−0.0472734	−	0.103514i
$364$	−7776.39			−1.11976
$365$	7018.80			1.00652
$366$	2048.61	+	4485.84i	0.292576	+	0.640652i
$367$	−7561.49	−	8726.43i	−1.07550	−	1.24119i	−0.969049	−	0.246869i	$-0.920598\pi$
$367$	−7561.49	−	8726.43i	−1.07550	−	1.24119i	−0.106447	−	0.994318i	$-0.533947\pi$
$368$	2798.28	−	19462.4i	0.396386	−	2.75693i
$369$	363.179	−	2525.96i	0.0512367	−	0.356359i
$370$	−11259.1	−	12993.7i	−1.58198	−	1.82571i
$371$	−1880.14	−	4116.94i	−0.263106	−	0.576121i
$372$	−6683.04			−0.931451
$373$	−6625.23			−0.919683			−0.459841	−	0.888001i	$-0.652094\pi$
$373$	−6625.23			−0.919683			−0.459841	+	0.888001i	$0.652094\pi$
$374$	−5004.04	−	10957.3i	−0.691852	−	1.51494i
$375$	−3789.56	−	2435.40i	−0.521845	−	0.335369i
$376$	14898.2	+	4374.49i	2.04339	+	0.599993i
$377$	−1623.25	+	3554.43i	−0.221755	+	0.485576i
$378$	2936.85	+	862.338i	0.399618	+	0.117338i
$379$	1509.83	−	1742.43i	0.204629	−	0.236155i	−0.644154	−	0.764896i	$-0.722790\pi$
$379$	1509.83	−	1742.43i	0.204629	−	0.236155i	0.848783	+	0.528741i	$0.177336\pi$
$380$	5540.65	+	6394.25i	0.747972	+	0.863205i
$381$	2687.78	+	1727.33i	0.361415	+	0.232267i
$382$	2668.93	−	3080.11i	0.357472	−	0.412545i
$383$	−1394.04	+	9695.79i	−0.185985	+	1.29356i	0.656290	+	0.754509i	$0.272125\pi$
$383$	−1394.04	+	9695.79i	−0.185985	+	1.29356i	−0.842275	+	0.539047i	$0.818784\pi$
$384$	1939.58	−	569.512i	0.257757	−	0.0756843i
$385$	6851.27	+	2011.72i	0.906943	+	0.266303i
$386$	−9945.82	+	6391.79i	−1.31147	+	0.842833i
$387$	−152.237	+	1058.83i	−0.0199966	+	0.139079i
$388$	12226.1	−	3589.91i	1.59971	−	0.469716i
$389$	−482.206	+	1055.88i	−0.0628504	+	0.137623i	−0.938451	−	0.345413i	$-0.887739\pi$
$389$	−482.206	+	1055.88i	−0.0628504	+	0.137623i	0.875600	+	0.483036i	$0.160466\pi$
$390$	1215.46	−	2661.50i	0.157814	−	0.345564i
$391$	8535.49	−	5485.42i	1.10399	−	0.709488i
$392$	−5002.28	−	5772.94i	−0.644524	−	0.743820i
$393$	−867.396	−	6032.87i	−0.111334	−	0.774347i
$394$	4860.86	+	10643.8i	0.621540	+	1.36098i
$395$	−349.383	−	2430.01i	−0.0445047	−	0.309537i
$396$	4644.67	+	2984.95i	0.589403	+	0.378786i
$397$	−9814.96	+	6307.69i	−1.24080	+	0.797416i	−0.985538	−	0.169455i	$-0.945799\pi$
$397$	−9814.96	+	6307.69i	−1.24080	+	0.797416i	−0.255265	+	0.966871i	$0.582163\pi$
$398$	6747.97	−	1981.38i	0.849863	−	0.249542i
$399$	−1947.05	+	2247.02i	−0.244297	+	0.281934i
$400$	503.495	+	3501.88i	0.0629369	+	0.437736i
$401$	−3004.62			−0.374173			−0.187087	−	0.982343i	$-0.559904\pi$
$401$	−3004.62			−0.374173			−0.187087	+	0.982343i	$0.559904\pi$
$402$	8504.11	−	362.708i	1.05509	−	0.0450005i
$403$	−2244.97			−0.277494
$404$	1234.45	+	8585.77i	0.152020	+	1.05732i
$405$	−528.759	+	610.221i	−0.0648747	+	0.0748694i
$406$	−22474.9	+	6599.22i	−2.74732	+	0.806684i
$407$	9168.27	−	5892.09i	1.11659	−	0.717592i
$408$	−10011.8	−	6434.21i	−1.21485	−	0.780738i
$409$	274.535	+	1909.43i	0.0331904	+	0.230845i	0.999664	−	0.0259216i	$-0.00825204\pi$
$409$	274.535	+	1909.43i	0.0331904	+	0.230845i	−0.966474	+	0.256766i	$0.917343\pi$
$410$	−6074.69	−	13301.7i	−0.731726	−	1.60226i
$411$	1086.72	+	7558.30i	0.130423	+	0.907114i
$412$	6136.25	+	7081.61i	0.733765	+	0.846810i
$413$	16057.3	−	10319.4i	1.91314	−	1.22950i
$414$	−2755.41	+	6033.51i	−0.327104	+	0.716258i
$415$	−3862.56	+	8457.82i	−0.456881	+	1.00043i
$416$	−4872.39	+	1430.66i	−0.574251	+	0.168615i
$417$	78.8781	−	548.609i	0.00926302	−	0.0644257i
$418$	−6435.12	+	4135.60i	−0.752995	+	0.483920i
$419$	−2892.07	−	849.187i	−0.337200	−	0.0990108i	0.108749	−	0.994069i	$-0.465316\pi$
$419$	−2892.07	−	849.187i	−0.337200	−	0.0990108i	−0.445949	+	0.895058i	$0.647134\pi$
$420$	11798.9	−	3464.46i	1.37078	−	0.402496i
$421$	−1291.10	+	8979.80i	−0.149464	+	1.03955i	0.767635	+	0.640887i	$0.221433\pi$
$421$	−1291.10	+	8979.80i	−0.149464	+	1.03955i	−0.917099	+	0.398659i	$0.869476\pi$
$422$	2446.77	−	2823.72i	0.282244	−	0.325727i
$423$	−2110.69	−	1356.46i	−0.242613	−	0.155918i
$424$	−7533.67	−	8694.32i	−0.862895	−	0.995834i
$425$	−1195.52	+	1379.70i	−0.136449	+	0.157471i
$426$	14987.9	+	4400.84i	1.70461	+	0.500519i
$427$	−2892.25	+	6333.14i	−0.327789	+	0.717757i
$428$	−37191.5	−	10920.4i	−4.20027	−	1.23331i
$429$	1560.24	+	1002.71i	0.175592	+	0.112846i
$430$	2546.39	+	5575.82i	0.285576	+	0.625325i
$431$	3443.54			0.384848			0.192424	−	0.981312i	$-0.438365\pi$
$431$	3443.54			0.384848			0.192424	+	0.981312i	$0.438365\pi$
$432$	3726.77			0.415056
$433$	5464.25	+	11965.0i	0.606455	+	1.32795i	0.924972	+	0.380035i	$0.124088\pi$
$433$	5464.25	+	11965.0i	0.606455	+	1.32795i	−0.318517	+	0.947917i	$0.603185\pi$
$434$	−8812.76	−	10170.5i	−0.974715	−	1.12488i
$435$	879.376	−	6116.19i	0.0969261	−	0.674136i
$436$	923.988	−	6426.48i	0.101493	−	0.705900i
$437$	−4219.31	−	4869.34i	−0.461870	−	0.533026i
$438$	4539.75	+	9940.67i	0.495246	+	1.08444i
$439$	17450.8			1.89723			0.948613	−	0.316438i	$-0.102487\pi$
$439$	17450.8			1.89723			0.948613	+	0.316438i	$0.102487\pi$
$440$	18150.1			1.96652
$441$	512.753	+	1122.77i	0.0553669	+	0.121237i
$442$	−5862.35	−	3767.50i	−0.630867	−	0.405434i
$443$	−14975.1	−	4397.10i	−1.60607	−	0.471585i	−0.648845	−	0.760921i	$-0.724748\pi$
$443$	−14975.1	−	4397.10i	−1.60607	−	0.471585i	−0.957228	+	0.289335i	$0.906566\pi$
$444$	7796.72	−	17072.4i	0.833369	−	1.82482i
$445$	1781.30	+	523.036i	0.189756	+	0.0557175i
$446$	−12407.9	+	14319.5i	−1.31734	+	1.52029i
$447$	−6555.66	−	7565.63i	−0.693673	−	0.800541i
$448$	−5253.14	−	3375.99i	−0.553990	−	0.356028i
$449$	9952.86	−	11486.2i	1.04611	−	1.20728i	0.0683289	−	0.997663i	$-0.478233\pi$
$449$	9952.86	−	11486.2i	1.04611	−	1.20728i	0.977784	−	0.209616i	$-0.0672213\pi$
$450$	169.847	−	1181.32i	0.0177926	−	0.123751i
$451$	8893.82	−	2611.46i	0.928589	−	0.272658i
$452$	4529.21	+	1329.90i	0.471319	+	0.138392i
$453$	3954.32	−	2541.29i	0.410133	−	0.263576i
$454$	−1584.89	+	11023.2i	−0.163838	+	1.13952i
$455$	3963.49	−	1163.78i	0.408376	−	0.119910i
$456$	−3139.50	+	6874.54i	−0.322413	+	0.705986i
$457$	−4752.51	+	10406.6i	−0.486462	+	1.06520i	0.494174	+	0.869363i	$0.335471\pi$
$457$	−4752.51	+	10406.6i	−0.486462	+	1.06520i	−0.980636	+	0.195840i	$0.937257\pi$
$458$	6732.50	−	4326.71i	0.686875	−	0.441428i
$459$	1259.34	+	1453.35i	0.128063	+	0.147792i
$460$	3792.39	+	26376.6i	0.384393	+	2.67352i
$461$	3145.62	+	6887.95i	0.317801	+	0.695886i	0.999356	−	0.0358801i	$-0.0114235\pi$
$461$	3145.62	+	6887.95i	0.317801	+	0.695886i	−0.681555	+	0.731766i	$0.738696\pi$
$462$	1582.22	+	11004.6i	0.159332	+	1.10818i
$463$	−4218.93	−	2711.34i	−0.423478	−	0.272153i	0.311497	−	0.950247i	$-0.399170\pi$
$463$	−4218.93	−	2711.34i	−0.423478	−	0.272153i	−0.734975	+	0.678094i	$0.762806\pi$
$464$	−23992.4	+	15419.0i	−2.40048	+	1.54269i
$465$	3406.23	−	1000.16i	0.339699	−	0.0997446i
$466$	−22362.3	+	25807.5i	−2.22299	+	2.56547i
$467$	−1895.50	−	13183.5i	−0.187822	−	1.30633i	−0.837631	−	0.546236i	$-0.816060\pi$
$467$	−1895.50	−	13183.5i	−0.187822	−	1.30633i	0.649809	−	0.760098i	$-0.274849\pi$
$468$	3193.99			0.315475
$469$	8249.36	+	8738.32i	0.812197	+	0.860337i
$470$	−14377.0			−1.41098
$471$	−807.482	−	5616.16i	−0.0789954	−	0.549425i
$472$	31771.9	−	36666.7i	3.09835	−	3.57568i
$473$	−3728.12	+	1094.67i	−0.362408	+	0.106413i
$474$	3215.62	−	2066.56i	0.311600	−	0.200253i
$475$	975.269	+	626.767i	0.0942071	+	0.0605433i
$476$	−4168.05	−	28989.4i	−0.401350	−	2.79145i
$477$	772.230	+	1690.95i	0.0741257	+	0.162313i
$478$	2358.27	+	16402.1i	0.225659	+	1.56949i
$479$	−11016.7	−	12714.0i	−1.05087	−	1.21277i	−0.976495	−	0.215540i	$-0.930849\pi$
$479$	−11016.7	−	12714.0i	−1.05087	−	1.21277i	−0.0743767	−	0.997230i	$-0.523697\pi$
$480$	6755.34	−	4341.40i	0.642370	−	0.412826i
$481$	2619.08	−	5734.98i	0.248274	−	0.543644i
$482$	−14080.8	+	30832.8i	−1.33063	+	2.91368i
$483$	−8985.07	+	2638.25i	−0.846449	+	0.248540i
$484$	700.632	−	4873.00i	0.0657994	−	0.457645i
$485$	−5694.17	+	3659.42i	−0.533111	+	0.342610i
$486$	−1206.25	−	354.188i	−0.112586	−	0.0330582i
$487$	−17174.6	+	5042.93i	−1.59806	+	0.469234i	−0.955007	−	0.296584i	$-0.904153\pi$
$487$	−17174.6	+	5042.93i	−1.59806	+	0.469234i	−0.643058	+	0.765818i	$0.722334\pi$
$488$	−2518.56	+	17517.0i	−0.233627	+	1.62491i
$489$	7232.30	−	8346.52i	0.668826	−	0.771867i
$490$	5950.10	+	3823.90i	0.548568	+	0.352543i
$491$	4154.44	+	4794.48i	0.381848	+	0.440676i	0.913841	−	0.406073i	$-0.133102\pi$
$491$	4154.44	+	4794.48i	0.381848	+	0.440676i	−0.531993	+	0.846749i	$0.678557\pi$
$492$	10453.6	−	12064.1i	0.957893	−	1.10547i
$493$	−14120.5	−	4146.16i	−1.28997	−	0.378770i
$494$	−1838.31	+	4025.33i	−0.167428	+	0.366616i
$495$	−2814.02	−	826.271i	−0.255517	−	0.0750265i
$496$	−13784.2	−	8858.57i	−1.24784	−	0.801939i
$497$	9161.27	+	20060.4i	0.826840	+	1.81053i
$498$	−14477.1			−1.30268
$499$	−15696.8			−1.40819			−0.704093	−	0.710108i	$-0.748646\pi$
$499$	−15696.8			−1.40819			−0.704093	+	0.710108i	$0.748646\pi$
$500$	−11705.5	−	25631.4i	−1.04697	−	2.29254i
$501$	−5952.94	−	6870.06i	−0.530854	−	0.612638i
$502$	5491.56	−	38194.6i	0.488248	−	3.39584i
$503$	791.656	−	5506.09i	0.0701753	−	0.488080i	−0.924178	−	0.381962i	$-0.875249\pi$
$503$	791.656	−	5506.09i	0.0701753	−	0.488080i	0.994353	−	0.106118i	$-0.0338423\pi$
$504$	7193.06	+	8301.24i	0.635723	+	0.733664i
$505$	−1914.09	−	4191.27i	−0.168665	−	0.369325i
$506$	−24092.4			−2.11668
$507$	−5518.07			−0.483365
$508$	8302.22	+	18179.3i	0.725101	+	1.58775i
$509$	−4732.10	−	3041.14i	−0.412076	−	0.264825i	0.318137	−	0.948045i	$-0.396943\pi$
$509$	−4732.10	−	3041.14i	−0.412076	−	0.264825i	−0.730213	+	0.683219i	$0.760579\pi$
$510$	10573.2	+	3104.57i	0.918019	+	0.269555i
$511$	−6409.26	+	14034.3i	−0.554851	+	1.21495i
$512$	23449.5	+	6885.38i	2.02408	+	0.594324i
$513$	799.712	−	922.917i	0.0688268	−	0.0794304i
$514$	−13355.6	−	15413.2i	−1.14609	−	1.32266i
$515$	−4187.34	−	2691.04i	−0.358284	−	0.230255i
$516$	−4381.93	+	5057.02i	−0.373845	+	0.431440i
$517$	1296.95	−	9020.50i	0.110329	−	0.767352i
$518$	36262.7	−	10647.7i	3.07585	−	0.903152i
$519$	−4159.68	−	1221.39i	−0.351810	−	0.103301i
$520$	8833.07	−	5676.67i	0.744915	−	0.478728i
$521$	−2216.28	+	15414.6i	−0.186367	+	1.29621i	0.654951	+	0.755671i	$0.272689\pi$
$521$	−2216.28	+	15414.6i	−0.186367	+	1.29621i	−0.841318	+	0.540540i	$0.818220\pi$
$522$	9231.10	−	2710.49i	0.774012	−	0.227270i
$523$	4692.14	−	10274.3i	0.392300	−	0.859017i	−0.605694	−	0.795698i	$-0.707104\pi$
$523$	4692.14	−	10274.3i	0.392300	−	0.859017i	0.997993	−	0.0633186i	$-0.0201684\pi$
$524$	15837.8	−	34680.0i	1.32038	−	2.89122i
$525$	1417.46	−	910.947i	0.117834	−	0.0757276i
$526$	−21659.9	−	24996.8i	−1.79547	−	2.07208i
$527$	−1203.28	−	8368.99i	−0.0994604	−	0.691762i
$528$	5623.29	+	12313.3i	0.463489	+	1.01490i
$529$	−1156.43	−	8043.16i	−0.0950466	−	0.661064i
$530$	8961.13	+	5758.97i	0.734428	+	0.471988i
$531$	−6595.20	+	4238.48i	−0.538997	+	0.346392i
$532$	−17845.0	+	5239.76i	−1.45428	+	0.427016i
$533$	3511.57	−	4052.57i	0.285372	−	0.329336i
$534$	411.369	+	2861.14i	0.0333365	+	0.231860i
$535$	20590.1			1.66390
$536$	26376.9	+	15404.2i	2.12558	+	1.24134i
$537$	−8174.88			−0.656931
$538$	1337.30	+	9301.11i	0.107165	+	0.745352i
$539$	−2935.97	+	3388.29i	−0.234622	+	0.270768i
$540$	−4846.14	+	1422.96i	−0.386194	+	0.113397i
$541$	−6331.11	+	4068.75i	−0.503134	+	0.323345i	−0.767469	−	0.641086i	$-0.778484\pi$
$541$	−6331.11	+	4068.75i	−0.503134	+	0.323345i	0.264335	+	0.964431i	$0.414848\pi$
$542$	−33801.8	−	21723.1i	−2.67881	−	1.72156i
$543$	126.255	+	878.126i	0.00997816	+	0.0693996i
$544$	−7944.87	−	17396.8i	−0.626165	−	1.37111i
$545$	490.822	+	3413.74i	0.0385770	+	0.268309i
$546$	4211.84	+	4860.72i	0.330128	+	0.380988i
$547$	−14246.5	+	9155.64i	−1.11359	+	0.715662i	−0.962073	−	0.272793i	$-0.912053\pi$
$547$	−14246.5	+	9155.64i	−1.11359	+	0.715662i	−0.151518	+	0.988454i	$0.548416\pi$
$548$	−19842.4	+	43448.9i	−1.54677	+	3.38694i
$549$	1187.93	−	2601.21i	0.0923492	−	0.202216i
$550$	4159.36	−	1221.30i	0.322465	−	0.0946843i
$551$	−1330.00	+	9250.32i	−0.102831	+	0.715203i
$552$	−20024.2	+	12868.8i	−1.54400	+	0.992268i
$553$	5177.92	+	1520.37i	0.398169	+	0.116913i
$554$	−20081.2	+	5896.37i	−1.54001	+	0.452189i
$555$	−1418.85	+	9868.33i	−0.108517	+	0.754752i
$556$	2270.39	−	2620.17i	0.173176	−	0.199856i
$557$	−10243.0	−	6582.80i	−0.779195	−	0.500758i	0.0895713	−	0.995980i	$-0.471450\pi$
$557$	−10243.0	−	6582.80i	−0.779195	−	0.500758i	−0.868766	+	0.495222i	$0.835087\pi$
$558$	3619.66	+	4177.31i	0.274610	+	0.316917i
$559$	−1471.98	+	1698.76i	−0.111374	+	0.128533i
$560$	28928.2	+	8494.08i	2.18293	+	0.640965i
$561$	−2901.70	+	6353.83i	−0.218377	+	0.478180i
$562$	26715.9	+	7844.49i	2.00523	+	0.588790i
$563$	16476.9	+	10589.1i	1.23343	+	0.792676i	0.984421	−	0.175826i	$-0.0562596\pi$
$563$	16476.9	+	10589.1i	1.23343	+	0.792676i	0.249007	+	0.968502i	$0.419896\pi$
$564$	−6519.67	−	14276.1i	−0.486751	−	1.06584i
$565$	−2507.48			−0.186709
$566$	30505.5			2.26545
$567$	−737.316	−	1614.50i	−0.0546109	−	0.119581i
$568$	36708.9	+	42364.4i	2.71175	+	3.12952i
$569$	−2295.37	+	15964.7i	−0.169116	+	1.17623i	0.711600	+	0.702584i	$0.247971\pi$
$569$	−2295.37	+	15964.7i	−0.169116	+	1.17623i	−0.880717	+	0.473644i	$0.842938\pi$
$570$	995.878	−	6926.49i	0.0731803	−	0.508980i
$571$	−6119.90	−	7062.75i	−0.448529	−	0.517630i	0.485786	−	0.874078i	$-0.338533\pi$
$571$	−6119.90	−	7062.75i	−0.448529	−	0.517630i	−0.934315	+	0.356448i	$0.883988\pi$
$572$	4819.39	+	10553.0i	0.352288	+	0.771404i
$573$	−2363.30			−0.172301
$574$	32144.3			2.33742
$575$	1516.81	+	3321.34i	0.110009	+	0.240886i
$576$	2157.62	+	1386.62i	0.156078	+	0.100305i
$577$	21166.1	+	6214.93i	1.52713	+	0.448407i	0.934172	−	0.356823i	$-0.116140\pi$
$577$	21166.1	+	6214.93i	1.52713	+	0.448407i	0.592963	+	0.805230i	$0.297958\pi$
$578$	343.730	−	752.664i	0.0247358	−	0.0541638i
$579$	6577.89	+	1931.44i	0.472138	+	0.138632i
$580$	25311.6	−	29211.1i	1.81208	−	2.09125i
$581$	−13384.6	−	15446.6i	−0.955741	−	1.10298i
$582$	−8865.80	−	5697.70i	−0.631442	−	0.405803i
$583$	−4421.70	+	5102.92i	−0.314114	+	0.362506i
$584$	−5581.16	+	38817.8i	−0.395463	+	2.75050i
$585$	−1627.92	+	478.001i	−0.115053	+	0.0337827i
$586$	−427.344	−	125.479i	−0.0301253	−	0.00884557i
$587$	459.676	−	295.416i	0.0323218	−	0.0207719i	−0.524380	−	0.851484i	$-0.675703\pi$
$587$	459.676	−	295.416i	0.0323218	−	0.0207719i	0.556702	+	0.830712i	$0.312067\pi$
$588$	−1098.81	+	7642.37i	−0.0770647	+	0.535997i
$589$	−5151.68	+	1512.67i	−0.360393	+	0.105821i
$590$	−18661.9	+	40863.8i	−1.30220	+	2.85141i
$591$	2818.67	−	6172.03i	0.196184	−	0.429583i
$592$	38711.2	−	24878.2i	2.68754	−	1.72717i
$593$	3486.28	+	4023.38i	0.241424	+	0.278618i	0.863511	−	0.504330i	$-0.168260\pi$
$593$	3486.28	+	4023.38i	0.241424	+	0.278618i	−0.622087	+	0.782948i	$0.713715\pi$
$594$	−649.864	−	4519.91i	−0.0448893	−	0.312212i
$595$	6462.83	+	14151.6i	0.445294	+	0.975059i
$596$	−8911.75	−	61982.6i	−0.612482	−	4.25991i
$597$	−3430.76	−	2204.81i	−0.235195	−	0.151151i
$598$	−11725.0	+	7535.21i	−0.801792	+	0.515280i
$599$	16655.8	−	4890.59i	1.13613	−	0.333596i	0.341013	−	0.940059i	$-0.389230\pi$
$599$	16655.8	−	4890.59i	1.13613	−	0.333596i	0.795112	+	0.606462i	$0.207412\pi$
$600$	2804.67	−	3236.77i	0.190834	−	0.220234i
$601$	1777.09	+	12359.9i	0.120614	+	0.838888i	0.956863	+	0.290539i	$0.0938344\pi$
$601$	1777.09	+	12359.9i	0.120614	+	0.838888i	−0.836249	+	0.548349i	$0.815256\pi$
$602$	−13474.3			−0.912244
$603$	−3388.26	−	3589.08i	−0.228823	−	0.242386i
$604$	29402.9			1.98077
$605$	372.175	+	2588.54i	0.0250100	+	0.173949i
$606$	4698.03	−	5421.82i	0.314925	−	0.363443i
$607$	3437.67	−	1009.39i	0.229869	−	0.0674958i	−0.164769	−	0.986332i	$-0.552688\pi$
$607$	3437.67	−	1009.39i	0.229869	−	0.0674958i	0.394639	+	0.918836i	$0.370870\pi$
$608$	−10217.0	+	6566.06i	−0.681503	+	0.437975i
$609$	11426.5	+	7343.38i	0.760305	+	0.488618i
$610$	−2332.01	−	16219.5i	−0.154788	−	1.07657i
$611$	−2190.09	−	4795.63i	−0.145011	−	0.317529i
$612$	1711.94	+	11906.8i	0.113074	+	0.786446i
$613$	−3594.97	−	4148.81i	−0.236867	−	0.273359i	0.624854	−	0.780742i	$-0.285158\pi$
$613$	−3594.97	−	4148.81i	−0.236867	−	0.273359i	−0.861721	+	0.507383i	$0.830613\pi$
$614$	−2664.53	+	1712.39i	−0.175133	+	0.112551i
$615$	−3522.54	+	7713.28i	−0.230963	+	0.505739i
$616$	−16573.8	+	36291.7i	−1.08406	+	2.37375i
$617$	21444.2	−	6296.58i	1.39921	−	0.410844i	0.506795	−	0.862066i	$-0.330830\pi$
$617$	21444.2	−	6296.58i	1.39921	−	0.410844i	0.892412	+	0.451222i	$0.149012\pi$
$618$	1102.93	−	7671.06i	0.0717903	−	0.499313i
$619$	−19689.1	+	12653.4i	−1.27847	+	0.821621i	−0.990698	−	0.136079i	$-0.956550\pi$
$619$	−19689.1	+	12653.4i	−1.27847	+	0.821621i	−0.287769	+	0.957700i	$0.592913\pi$
$620$	21306.8	+	6256.25i	1.38017	+	0.405253i
$621$	3690.43	−	1083.61i	0.238473	−	0.0700221i
$622$	−2611.61	+	18164.1i	−0.168354	+	1.17093i
$623$	−2672.43	+	3084.15i	−0.171860	+	0.198337i
$624$	6587.82	+	4233.73i	0.422634	+	0.271610i
$625$	7703.82	+	8890.69i	0.493045	+	0.569004i
$626$	5058.42	−	5837.73i	0.322963	−	0.372720i
$627$	4256.01	+	1249.68i	0.271082	+	0.0795970i
$628$	14743.8	−	32284.5i	0.936852	−	2.05142i
$629$	22783.1	+	6689.72i	1.44423	+	0.424065i
$630$	−8555.99	−	5498.60i	−0.541077	−	0.347729i
$631$	2658.65	+	5821.64i	0.167733	+	0.367283i	0.974768	−	0.223220i	$-0.0716567\pi$
$631$	2658.65	+	5821.64i	0.167733	+	0.367283i	−0.807036	+	0.590503i	$0.798929\pi$
$632$	13717.1			0.863350
$633$	−2166.58			−0.136041
$634$	−11926.3	−	26114.9i	−0.747087	−	1.63589i
$635$	−6952.14	−	8023.20i	−0.434468	−	0.501403i
$636$	−1654.86	+	11509.8i	−0.103175	+	0.717598i
$637$	−369.112	+	2567.23i	−0.0229588	+	0.159682i
$638$	22884.3	+	26409.8i	1.42006	+	1.63883i
$639$	−3762.80	−	8239.39i	−0.232949	−	0.510087i
$640$	−6716.90			−0.414857
$641$	−17739.0			−1.09306			−0.546529	−	0.837440i	$-0.684051\pi$
$641$	−17739.0			−1.09306			−0.546529	+	0.837440i	$0.684051\pi$
$642$	13317.7	+	29161.6i	0.818701	+	1.79271i
$643$	4398.91	+	2827.01i	0.269792	+	0.173385i	0.668541	−	0.743675i	$-0.266919\pi$
$643$	4398.91	+	2827.01i	0.269792	+	0.173385i	−0.398749	+	0.917060i	$0.630556\pi$
$644$	−56204.0	−	16503.0i	−3.43905	−	1.00980i
$645$	1476.58	−	3233.25i	0.0901398	−	0.197379i
$646$	−15991.2	−	4695.45i	−0.973943	−	0.285975i
$647$	−9409.10	+	10858.7i	−0.571731	+	0.659813i	−0.965806	−	0.259265i	$-0.916520\pi$
$647$	−9409.10	+	10858.7i	−0.571731	+	0.659813i	0.394075	+	0.919078i	$0.371065\pi$
$648$	−2954.40	−	3409.56i	−0.179105	−	0.206698i
$649$	−23955.4	−	15395.2i	−1.44890	−	0.931149i
$650$	1642.25	−	1895.26i	0.0990992	−	0.114367i
$651$	−1110.57	+	7724.16i	−0.0668610	+	0.465029i
$652$	66284.9	−	19463.0i	3.98147	−	1.16907i
$653$	7952.50	+	2335.06i	0.476578	+	0.139936i	0.511195	−	0.859465i	$-0.329203\pi$
$653$	7952.50	+	2335.06i	0.476578	+	0.139936i	−0.0346171	+	0.999401i	$0.511021\pi$
$654$	−4517.39	+	2903.15i	−0.270098	+	0.173581i
$655$	−2882.18	+	20046.0i	−0.171933	+	1.19582i
$656$	37552.4	−	11026.4i	2.23503	−	0.656263i
$657$	2632.47	−	5764.31i	0.156320	−	0.342294i
$658$	13128.5	−	28747.3i	0.777813	−	1.70317i
$659$	−13054.3	+	8389.46i	−0.771657	+	0.495914i	−0.866255	−	0.499602i	$-0.833480\pi$
$659$	−13054.3	+	8389.46i	−0.771657	+	0.495914i	0.0945984	+	0.995516i	$0.469843\pi$
$660$	−12013.8	−	13864.6i	−0.708539	−	0.817698i
$661$	577.711	+	4018.07i	0.0339945	+	0.236437i	0.999734	−	0.0230778i	$-0.00734654\pi$
$661$	577.711	+	4018.07i	0.0339945	+	0.236437i	−0.965739	+	0.259515i	$0.916437\pi$
$662$	7663.18	+	16780.0i	0.449906	+	0.985157i
$663$	575.077	+	3999.75i	0.0336865	+	0.234295i
$664$	−43705.0	−	28087.5i	−2.55434	−	1.64158i
$665$	8311.10	−	5341.22i	0.484648	−	0.311464i
$666$	−14894.2	+	4373.32i	−0.866572	+	0.254448i
$667$	−19275.2	+	22244.8i	−1.11895	+	1.29134i
$668$	−8092.41	−	56284.0i	−0.468720	−	3.26002i
$669$	10987.1			0.634954
$670$	−27452.3	−	6804.64i	−1.58295	−	0.392367i
$671$	10386.9			0.597588
$672$	2512.08	+	17471.9i	0.144205	+	1.00297i
$673$	20633.3	−	23812.1i	1.18181	−	1.36388i	0.265146	−	0.964208i	$-0.414580\pi$
$673$	20633.3	−	23812.1i	1.18181	−	1.36388i	0.916660	−	0.399668i	$-0.130875\pi$
$674$	−24132.8	+	7086.02i	−1.37917	+	0.404960i
$675$	−582.193	+	374.153i	−0.0331980	+	0.0213350i
$676$	−29037.5	−	18661.3i	−1.65211	−	1.06175i
$677$	1057.49	+	7355.01i	0.0600335	+	0.417542i	0.997571	+	0.0696578i	$0.0221907\pi$
$677$	1057.49	+	7355.01i	0.0600335	+	0.417542i	−0.937537	+	0.347884i	$0.886900\pi$
$678$	−1621.84	−	3551.33i	−0.0918677	−	0.201162i
$679$	−2117.47	−	14727.3i	−0.119677	−	0.832374i
$680$	25896.3	+	29886.0i	1.46041	+	1.68540i
$681$	5432.59	−	3491.32i	0.305694	−	0.196457i
$682$	−8340.22	+	18262.5i	−0.468275	+	1.02538i
$683$	10240.7	−	22424.1i	0.573720	−	1.25627i	−0.371073	−	0.928604i	$-0.621010\pi$
$683$	10240.7	−	22424.1i	0.573720	−	1.25627i	0.944793	−	0.327668i	$-0.106263\pi$
$684$	7329.46	−	2152.12i	0.409721	−	0.120305i
$685$	3610.94	−	25114.7i	0.201412	−	1.40085i
$686$	19631.9	−	12616.7i	1.09264	−	0.702196i
$687$	−4452.69	−	1307.43i	−0.247279	−	0.0726076i
$688$	−15741.2	+	4622.05i	−0.872281	+	0.256125i
$689$	−555.900	+	3866.37i	−0.0307375	+	0.213784i
$690$	14433.0	−	16656.5i	0.796310	−	0.918991i
$691$	−27848.3	−	17897.0i	−1.53314	−	0.985290i	−0.989266	−	0.146123i	$-0.953320\pi$
$691$	−27848.3	−	17897.0i	−1.53314	−	0.985290i	−0.543875	−	0.839167i	$-0.683043\pi$
$692$	−17758.7	−	20494.7i	−0.975558	−	1.12585i
$693$	4221.79	−	4872.21i	0.231418	−	0.267071i
$694$	2287.54	+	671.682i	0.125121	+	0.0367388i
$695$	−765.053	+	1675.23i	−0.0417555	+	0.0914319i
$696$	33126.7	+	9726.87i	1.80411	+	0.529736i
$697$	16989.7	+	10918.6i	0.923284	+	0.593359i
$698$	−1374.15	−	3008.96i	−0.0745160	−	0.163167i
$699$	19801.5			1.07148
$700$	10539.7			0.569092
$701$	4677.30	+	10241.9i	0.252010	+	0.551826i	0.992782	−	0.119931i	$-0.0382674\pi$
$701$	4677.30	+	10241.9i	0.252010	+	0.551826i	−0.740772	+	0.671757i	$0.765540\pi$
$702$	−1729.93	−	1996.44i	−0.0930083	−	0.107337i
$703$	2145.92	−	14925.2i	0.115128	−	0.800730i
$704$	−1325.79	+	9221.06i	−0.0709766	+	0.493653i
$705$	5459.46	+	6300.55i	0.291652	+	0.336585i
$706$	−4913.41	−	10758.9i	−0.261925	−	0.573535i
$707$	10128.4			0.538782
$708$	−49039.6			−2.60314
$709$	13556.9	+	29685.4i	0.718108	+	1.57244i	0.816537	+	0.577293i	$0.195891\pi$
$709$	13556.9	+	29685.4i	0.718108	+	1.57244i	−0.0984287	+	0.995144i	$0.531382\pi$
$710$	−43664.4	−	28061.4i	−2.30802	−	1.48328i
$711$	−2126.72	−	624.463i	−0.112178	−	0.0329384i
$712$	−4309.12	+	9435.65i	−0.226813	+	0.496652i
$713$	−16225.6	−	4764.26i	−0.852247	−	0.250242i
$714$	−15862.7	+	18306.5i	−0.831437	+	0.959529i
$715$	−4035.68	−	4657.42i	−0.211085	−	0.243605i
$716$	−43018.3	−	27646.2i	−2.24535	−	1.44300i
$717$	6292.51	−	7261.94i	0.327752	−	0.378246i
$718$	−3091.77	+	21503.7i	−0.160702	+	1.11770i
$719$	27037.6	−	7938.95i	1.40241	−	0.411784i	0.508898	−	0.860827i	$-0.330053\pi$
$719$	27037.6	−	7938.95i	1.40241	−	0.411784i	0.893510	+	0.449042i	$0.148235\pi$
$720$	−11881.7	−	3488.77i	−0.615004	−	0.180582i
$721$	9204.51	−	5915.38i	0.475442	−	0.305548i
$722$	3543.91	−	24648.5i	0.182674	−	1.27053i
$723$	18859.0	−	5537.51i	0.970090	−	0.284844i
$724$	−2305.30	+	5047.90i	−0.118337	+	0.259121i
$725$	2200.08	−	4817.49i	0.112702	−	0.246782i
$726$	−3425.40	+	2201.37i	−0.175108	+	0.112535i
$727$	−6233.22	−	7193.52i	−0.317988	−	0.366978i	0.574143	−	0.818755i	$-0.305336\pi$
$727$	−6233.22	−	7193.52i	−0.317988	−	0.366978i	−0.892131	+	0.451778i	$0.850790\pi$
$728$	3284.71	+	22845.7i	0.167225	+	1.16307i
$729$	302.838	+	663.122i	0.0153857	+	0.0336901i
$730$	−5167.77	−	35942.6i	−0.262011	−	1.82232i
$731$	−7121.73	−	4576.86i	−0.360337	−	0.231575i
$732$	15048.1	−	9670.83i	0.759828	−	0.488312i
$733$	15638.8	−	4591.97i	0.788039	−	0.231389i	0.137138	−	0.990552i	$-0.456210\pi$
$733$	15638.8	−	4591.97i	0.788039	−	0.231389i	0.650901	+	0.759163i	$0.274391\pi$
$734$	−39119.9	+	45146.8i	−1.96722	+	2.27030i
$735$	−583.685	−	4059.62i	−0.0292919	−	0.203730i
$736$	−38251.4			−1.91571
$737$	6745.87	−	16610.4i	0.337160	−	0.830192i
$738$	−13202.6			−0.658530
$739$	3817.17	+	26549.0i	0.190009	+	1.32154i	0.831977	+	0.554810i	$0.187209\pi$
$739$	3817.17	+	26549.0i	0.190009	+	1.32154i	−0.641968	+	0.766732i	$0.721882\pi$
$740$	−40839.6	+	47131.4i	−2.02877	+	2.34133i
$741$	2462.12	−	722.943i	0.122062	−	0.0358407i
$742$	−19698.2	+	12659.2i	−0.974585	+	0.626328i
$743$	7000.29	+	4498.81i	0.345647	+	0.222134i	0.701933	−	0.712243i	$-0.252321\pi$
$743$	7000.29	+	4498.81i	0.345647	+	0.222134i	−0.356286	+	0.934377i	$0.615957\pi$
$744$	2822.89	+	19633.6i	0.139102	+	0.967477i
$745$	13818.2	+	30257.7i	0.679544	+	1.48799i
$746$	4878.00	+	33927.2i	0.239405	+	1.66510i
$747$	5497.44	+	6344.38i	0.269265	+	0.310748i
$748$	−36757.2	+	23622.4i	−1.79676	+	1.15471i
$749$	−18802.0	+	41170.6i	−0.917235	+	2.00847i
$750$	−9681.30	+	21199.1i	−0.471348	+	1.03211i
$751$	1344.31	−	394.726i	0.0653191	−	0.0191794i	−0.248910	−	0.968527i	$-0.580072\pi$
$751$	1344.31	−	394.726i	0.0653191	−	0.0191794i	0.314229	+	0.949347i	$0.398254\pi$
$752$	5476.13	−	38087.3i	0.265550	−	1.84694i
$753$	−18823.6	+	12097.2i	−0.910985	+	0.585454i
$754$	19397.0	+	5695.49i	0.936869	+	0.275089i
$755$	−14986.1	+	4400.32i	−0.722385	+	0.212111i
$756$	1580.04	−	10989.4i	0.0760124	−	0.528678i
$757$	−6462.14	+	7457.71i	−0.310265	+	0.358065i	−0.889370	−	0.457188i	$-0.848857\pi$
$757$	−6462.14	+	7457.71i	−0.310265	+	0.358065i	0.579105	+	0.815253i	$0.303402\pi$
$758$	−10034.5	−	6448.77i	−0.480829	−	0.309010i
$759$	9148.73	+	10558.2i	0.437520	+	0.504925i
$760$	16444.8	−	18978.4i	0.784891	−	0.905812i
$761$	−10382.5	−	3048.57i	−0.494566	−	0.145218i	0.0249321	−	0.999689i	$-0.492063\pi$
$761$	−10382.5	−	3048.57i	−0.494566	−	0.145218i	−0.519499	+	0.854471i	$0.673881\pi$
$762$	6866.55	−	15035.7i	0.326442	−	0.714809i
$763$	−7274.08	−	2135.86i	−0.345137	−	0.101341i
$764$	−12436.3	−	7992.34i	−0.588914	−	0.378472i
$765$	−2654.47	−	5812.49i	−0.125455	−	0.274707i
$766$	50677.7			2.39042
$767$	−16473.4			−0.775515
$768$	−7185.66	−	15734.4i	−0.337617	−	0.739279i
$769$	4711.22	+	5437.03i	0.220924	+	0.254960i	0.855382	−	0.517997i	$-0.173322\pi$
$769$	4711.22	+	5437.03i	0.220924	+	0.254960i	−0.634458	+	0.772957i	$0.718777\pi$
$770$	5257.38	−	36565.9i	0.246056	−	1.71136i
$771$	−1683.04	+	11705.8i	−0.0786165	+	0.546790i
$772$	28082.7	+	32409.2i	1.30922	+	1.51092i
$773$	−4747.53	−	10395.6i	−0.220901	−	0.483707i	0.766440	−	0.642316i	$-0.222026\pi$
$773$	−4747.53	−	10395.6i	−0.220901	−	0.483707i	−0.987341	+	0.158609i	$0.949299\pi$
$774$	5534.28			0.257010
$775$	3042.73			0.141030
$776$	−15710.8	−	34401.8i	−0.726783	−	1.59143i
$777$	−18436.4	−	11848.4i	−0.851226	−	0.547050i
$778$	5762.12	+	1691.91i	0.265530	+	0.0779665i
$779$	5327.59	−	11665.8i	0.245033	−	0.536548i
$780$	−10183.1	−	2990.02i	−0.467452	−	0.137256i
$781$	21545.4	−	24864.7i	0.987138	−	1.13922i
$782$	−34374.8	−	39670.7i	−1.57192	−	1.81409i
$783$	−4693.21	−	3016.14i	−0.214204	−	0.137660i
$784$	−12396.5	+	14306.4i	−0.564712	+	0.651712i
$785$	−2683.09	+	18661.3i	−0.121992	+	0.848473i
$786$	−30255.1	+	8883.71i	−1.37298	+	0.403144i
$787$	−28382.7	−	8333.92i	−1.28556	−	0.377474i	−0.433611	−	0.901100i	$-0.642761\pi$
$787$	−28382.7	−	8333.92i	−1.28556	−	0.377474i	−0.851948	+	0.523626i	$0.824579\pi$
$788$	35705.5	−	22946.5i	1.61416	−	1.03735i
$789$	−2729.53	+	18984.3i	−0.123161	+	0.856602i
$790$	−12186.6	+	3578.31i	−0.548835	+	0.161153i
$791$	2289.72	−	5013.79i	0.102924	−	0.225373i
$792$	6807.37	−	14906.1i	0.305416	−	0.668767i
$793$	5054.97	−	3248.63i	0.226365	−	0.145476i
$794$	39527.6	+	45617.3i	1.76673	+	2.03891i
$795$	−879.058	−	6113.98i	−0.0392163	−	0.272755i
$796$	−10597.2	−	23204.6i	−0.471868	−	1.03325i
$797$	−2365.06	−	16449.3i	−0.105112	−	0.731073i	−0.972409	−	0.233281i	$-0.925054\pi$
$797$	−2365.06	−	16449.3i	−0.105112	−	0.731073i	0.867297	−	0.497791i	$-0.165855\pi$
$798$	12940.3	+	8316.25i	0.574039	+	0.368912i
$799$	16703.7	−	10734.8i	0.739591	−	0.475306i
$800$	6603.79	−	1939.05i	0.291849	−	0.0856946i
$801$	1097.65	−	1266.75i	0.0484187	−	0.0558782i
$802$	2212.22	+	15386.4i	0.0974020	+	0.677446i
$803$	23017.5			1.01154
$804$	−5692.15	−	30345.3i	−0.249685	−	1.33109i
$805$	31115.9			1.36235
$806$	1652.92	+	11496.3i	0.0722352	+	0.502407i
$807$	3568.27	−	4118.01i	0.155649	−	0.179629i
$808$	24702.1	−	7253.18i	1.07551	−	0.315800i
$809$	−38372.0	+	24660.2i	−1.66760	+	1.07170i	−0.761986	+	0.647593i	$0.775776\pi$
$809$	−38372.0	+	24660.2i	−1.66760	+	1.07170i	−0.905612	+	0.424107i	$0.860588\pi$
$810$	3514.20	+	2258.44i	0.152440	+	0.0979671i
$811$	−4476.05	−	31131.6i	−0.193804	−	1.34794i	−0.821824	−	0.569742i	$-0.807043\pi$
$811$	−4476.05	−	31131.6i	−0.193804	−	1.34794i	0.628019	−	0.778198i	$-0.283866\pi$
$812$	35295.1	+	77285.5i	1.52539	+	3.34014i
$813$	3315.85	+	23062.2i	0.143040	+	0.994868i
$814$	−36923.2	−	42611.6i	−1.58987	−	1.83481i
$815$	−30871.5	+	19839.9i	−1.32685	+	0.852713i
$816$	−12251.8	+	26827.8i	−0.525613	+	1.15093i
$817$	−2233.22	+	4890.07i	−0.0956310	+	0.209403i
$818$	9575.90	−	2811.74i	0.409308	−	0.120184i
$819$	530.767	−	3691.57i	0.0226453	−	0.157502i
$820$	−44621.6	+	28676.6i	−1.90031	+	1.22126i
$821$	14414.7	+	4232.54i	0.612761	+	0.179923i	0.573364	−	0.819301i	$-0.305638\pi$
$821$	14414.7	+	4232.54i	0.612761	+	0.179923i	0.0393971	+	0.999224i	$0.487456\pi$
$822$	37905.2	−	11130.0i	1.60839	−	0.472266i
$823$	−534.959	+	3720.72i	−0.0226580	+	0.157590i	−0.998009	−	0.0630684i	$-0.979911\pi$
$823$	−534.959	+	3720.72i	−0.0226580	+	0.157590i	0.975351	+	0.220658i	$0.0708205\pi$
$824$	18212.6	−	21018.5i	0.769983	−	0.888608i
$825$	−2114.67	−	1359.02i	−0.0892406	−	0.0573514i
$826$	−64667.2	−	74630.0i	−2.72404	−	3.14371i
$827$	9639.44	−	11124.5i	0.405316	−	0.467759i	−0.515992	−	0.856593i	$-0.672577\pi$
$827$	9639.44	−	11124.5i	0.405316	−	0.467759i	0.921308	+	0.388834i	$0.127122\pi$
$828$	23084.6	+	6778.26i	0.968896	+	0.284494i
$829$	3269.43	−	7159.05i	0.136975	−	0.299932i	−0.828698	−	0.559697i	$-0.810918\pi$
$829$	3269.43	−	7159.05i	0.136975	−	0.299932i	0.965672	+	0.259764i	$0.0836449\pi$
$830$	46155.6	+	13552.5i	1.93022	+	0.566765i
$831$	10209.5	+	6561.27i	0.426191	+	0.273896i
$832$	2238.78	+	4902.25i	0.0932883	+	0.204273i
$833$	−9768.17			−0.406299
$834$	−2867.45			−0.119055
$835$	12547.8	+	27475.8i	0.520041	+	1.13873i
$836$	18170.0	+	20969.3i	0.751702	+	0.867511i
$837$	456.142	−	3172.54i	0.0188370	−	0.131014i
$838$	−2219.25	+	15435.2i	−0.0914831	+	0.636279i
$839$	7427.81	+	8572.16i	0.305646	+	0.352734i	0.887705	−	0.460412i	$-0.152298\pi$
$839$	7427.81	+	8572.16i	0.305646	+	0.352734i	−0.582060	+	0.813146i	$0.697753\pi$
$840$	−15161.8	−	33199.6i	−0.622775	−	1.36369i
$841$	18304.1			0.750508
$842$	46935.3			1.92102
$843$	−6707.20	−	14686.7i	−0.274031	−	0.600045i
$844$	−11401.1	−	7327.06i	−0.464980	−	0.298824i
$845$	17592.7	+	5165.68i	0.716221	+	0.210301i
$846$	−5392.25	+	11807.4i	−0.219136	+	0.479841i
$847$	−5515.71	−	1619.56i	−0.223757	−	0.0657010i
$848$	−18669.8	+	21546.1i	−0.756041	+	0.872518i
$849$	−11584.0	−	13368.7i	−0.468271	−	0.540414i
$850$	7945.53	+	5106.28i	0.320623	+	0.206052i
$851$	31100.1	−	35891.5i	1.25276	−	1.44576i
$852$	8063.53	−	56083.1i	0.324239	−	2.25513i
$853$	8999.91	−	2642.61i	0.361255	−	0.106074i	−0.0960676	−	0.995375i	$-0.530626\pi$
$853$	8999.91	−	2642.61i	0.361255	−	0.106074i	0.457323	+	0.889301i	$0.348808\pi$
$854$	34560.9	+	10148.0i	1.38484	+	0.406625i
$855$	−3413.61	+	2193.80i	−0.136542	+	0.0877500i
$856$	−16372.7	+	113875.i	−0.653747	+	4.54691i
$857$	−4129.22	+	1212.45i	−0.164588	+	0.0483273i	−0.362988	−	0.931794i	$-0.618243\pi$
$857$	−4129.22	+	1212.45i	−0.164588	+	0.0483273i	0.198401	+	0.980121i	$0.436425\pi$
$858$	3986.00	−	8728.12i	0.158601	−	0.347288i
$859$	−3271.47	+	7163.51i	−0.129943	+	0.284535i	−0.963409	−	0.268035i	$-0.913626\pi$
$859$	−3271.47	+	7163.51i	−0.129943	+	0.284535i	0.833466	+	0.552570i	$0.186353\pi$
$860$	18704.5	−	12020.7i	0.741650	−	0.476629i
$861$	−12206.3	−	14086.8i	−0.483148	−	0.557582i
$862$	−2535.39	−	17634.0i	−0.100181	−	0.696772i
$863$	−7356.11	−	16107.6i	−0.290156	−	0.635354i	0.707278	−	0.706935i	$-0.249923\pi$
$863$	−7356.11	−	16107.6i	−0.290156	−	0.635354i	−0.997435	+	0.0715814i	$0.977195\pi$
$864$	−1031.78	−	7176.22i	−0.0406274	−	0.282569i
$865$	12118.5	+	7788.06i	0.476347	+	0.306129i
$866$	57248.7	−	36791.5i	2.24641	−	1.44368i
$867$	−460.371	+	135.177i	−0.0180335	+	0.00529511i
$868$	−31966.0	+	36890.8i	−1.25000	+	1.44257i
$869$	−1145.77	−	7968.98i	−0.0447266	−	0.311081i
$870$	−31967.9			−1.24576
$871$	−1912.11	−	10193.6i	−0.0743851	−	0.396552i
$872$	−19270.2			−0.748360
$873$	869.706	+	6048.93i	0.0337172	+	0.234508i
$874$	−21828.9	+	25191.9i	−0.844820	+	0.974975i
$875$	−31569.6	+	9269.66i	−1.21971	+	0.358139i
$876$	33346.8	−	21430.7i	1.28617	−	0.826570i
$877$	−24160.1	−	15526.7i	−0.930249	−	0.597835i	−0.0146347	−	0.999893i	$-0.504659\pi$
$877$	−24160.1	−	15526.7i	−0.930249	−	0.597835i	−0.915614	+	0.402058i	$0.868295\pi$
$878$	−12848.6	−	89364.0i	−0.493872	−	3.43495i
$879$	107.287	+	234.927i	0.00411685	+	0.00901465i
$880$	−6401.20	−	44521.3i	−0.245210	−	1.70547i
$881$	−21168.8	−	24430.2i	−0.809531	−	0.934248i	0.189333	−	0.981913i	$-0.439368\pi$
$881$	−21168.8	−	24430.2i	−0.809531	−	0.934248i	−0.998863	+	0.0476647i	$0.984822\pi$
$882$	5372.08	−	3452.43i	0.205088	−	0.131802i
$883$	−9572.63	+	20961.1i	−0.364830	+	0.798866i	0.634827	+	0.772655i	$0.281072\pi$
$883$	−9572.63	+	20961.1i	−0.364830	+	0.798866i	−0.999656	+	0.0262113i	$0.991656\pi$
$884$	−10500.3	+	22992.5i	−0.399508	+	0.874800i
$885$	24994.6	−	7339.07i	0.949360	−	0.278757i
$886$	−11491.3	+	79923.7i	−0.435731	+	3.03058i
$887$	11651.9	−	7488.20i	0.441073	−	0.283460i	−0.301196	−	0.953562i	$-0.597386\pi$
$887$	11651.9	−	7488.20i	0.441073	−	0.283460i	0.742269	+	0.670102i	$0.233750\pi$
$888$	−53449.1	−	15694.1i	−2.01986	−	0.593084i
$889$	22391.0	−	6574.60i	0.844736	−	0.248037i
$890$	1366.89	−	9506.96i	0.0514813	−	0.358061i
$891$	−1734.01	+	2001.16i	−0.0651983	+	0.0752428i
$892$	57816.8	+	37156.6i	2.17024	+	1.39473i
$893$	−8257.05	−	9529.14i	−0.309420	−	0.357089i
$894$	−33916.1	+	39141.3i	−1.26882	+	1.46430i
$895$	26063.1	+	7652.81i	0.973400	+	0.285816i
$896$	6133.57	−	13430.6i	0.228692	−	0.500766i
$897$	7754.60	+	2276.96i	0.288650	+	0.0847552i
$898$	−66147.9	−	42510.7i	−2.45811	−	1.57973i
$899$	10189.4	+	22311.6i	0.378014	+	0.827736i
$900$	−4328.98			−0.160333
$901$	−14711.3			−0.543957
$902$	−19921.4	−	43621.7i	−0.735375	−	1.61025i
$903$	5116.65	+	5904.93i	0.188562	+	0.217612i
$904$	1993.88	−	13867.8i	0.0733579	−	0.510215i
$905$	419.520	−	2917.83i	0.0154092	−	0.107173i
$906$	−15925.2	−	18378.6i	−0.583971	−	0.673939i
$907$	−5494.87	−	12032.1i	−0.201162	−	0.440484i	0.781986	−	0.623296i	$-0.214207\pi$
$907$	−5494.87	−	12032.1i	−0.201162	−	0.440484i	−0.983148	+	0.182813i	$0.941480\pi$
$908$	40394.8			1.47638
$909$	−4160.05			−0.151793
$910$	−8877.85	−	19439.8i	−0.323404	−	0.708156i
$911$	39882.3	+	25630.8i	1.45045	+	0.932146i	0.999210	+	0.0397428i	$0.0126539\pi$
$911$	39882.3	+	25630.8i	1.45045	+	0.932146i	0.451238	+	0.892404i	$0.350983\pi$
$912$	17970.2	+	5276.52i	0.652469	+	0.191582i
$913$	−12666.9	+	27736.6i	−0.459160	+	1.00542i
$914$	56790.1	+	16675.1i	2.05520	+	0.603461i
$915$	−6222.44	+	7181.08i	−0.224817	+	0.259453i
$916$	−19009.7	−	21938.3i	−0.685696	−	0.791335i
$917$	−37450.7	−	24068.1i	−1.34867	−	0.866738i
$918$	6515.27	−	7519.02i	0.234244	−	0.270332i
$919$	7209.35	−	50142.1i	0.258775	−	1.79982i	−0.282810	−	0.959176i	$-0.591267\pi$
$919$	7209.35	−	50142.1i	0.258775	−	1.79982i	0.541585	−	0.840646i	$-0.317824\pi$
$920$	75888.0	−	22282.7i	2.71952	−	0.798522i
$921$	1762.25	+	517.443i	0.0630489	+	0.0185128i
$922$	32956.5	−	21179.8i	1.17718	−	0.756530i
$923$	2708.71	−	18839.5i	0.0965961	−	0.671840i
$924$	38693.2	−	11361.4i	1.37761	−	0.404504i
$925$	−3549.77	+	7772.91i	−0.126179	+	0.276294i
$926$	−10778.2	+	23601.0i	−0.382500	+	0.837557i
$927$	−3780.56	+	2429.62i	−0.133948	+	0.0860833i
$928$	36333.2	+	41930.7i	1.28523	+	1.48324i
$929$	3037.31	+	21125.0i	0.107267	+	0.746057i	0.970474	+	0.241207i	$0.0775433\pi$
$929$	3037.31	+	21125.0i	0.107267	+	0.746057i	−0.863207	+	0.504850i	$0.831548\pi$
$930$	−7629.64	−	16706.6i	−0.269017	−	0.589065i
$931$	882.784	+	6139.90i	0.0310763	+	0.216141i
$932$	104201.	+	66965.8i	3.66225	+	2.35358i
$933$	8951.92	−	5753.05i	0.314119	−	0.201872i
$934$	−66115.7	+	19413.3i	−2.31624	+	0.680110i
$935$	15199.2	−	17540.8i	0.531623	−	0.613526i
$936$	−1349.13	−	9383.39i	−0.0471129	−	0.327677i
$937$	17397.7			0.606574			0.303287	−	0.952899i	$-0.401916\pi$
$937$	17397.7			0.606574			0.303287	+	0.952899i	$0.401916\pi$
$938$	38674.3	−	48678.0i	1.34623	−	1.69445i
$939$	−4479.17			−0.155668
$940$	7421.57	+	51618.2i	0.257516	+	1.79106i
$941$	−4520.32	+	5216.73i	−0.156597	+	0.180723i	−0.828627	−	0.559801i	$-0.810877\pi$
$941$	−4520.32	+	5216.73i	−0.156597	+	0.180723i	0.672029	+	0.740525i	$0.265423\pi$
$942$	−28165.3	+	8270.08i	−0.974178	+	0.286044i
$943$	33980.2	−	21837.8i	1.17343	−	0.754121i
$944$	−101147.	−	65003.4i	−3.48735	−	2.24119i
$945$	839.314	+	5837.56i	0.0288920	+	0.200948i
$946$	8350.64	+	18285.4i	0.287001	+	0.628444i
$947$	−1387.03	−	9647.03i	−0.0475951	−	0.331031i	−0.999682	−	0.0252045i	$-0.991976\pi$
$947$	−1387.03	−	9647.03i	−0.0475951	−	0.331031i	0.952087	−	0.305827i	$-0.0989328\pi$
$948$	−9079.54	−	10478.3i	−0.311065	−	0.358988i
$949$	11201.9	−	7199.00i	0.383170	−	0.246248i
$950$	2491.55	−	5455.73i	0.0850911	−	0.186323i
$951$	−6915.70	+	15143.3i	−0.235812	+	0.516356i
$952$	−83405.3	+	24490.0i	−2.83948	+	0.833746i
$953$	−206.872	+	1438.82i	−0.00703173	+	0.0489067i	−0.993035	−	0.117818i	$-0.962410\pi$
$953$	−206.872	+	1438.82i	−0.00703173	+	0.0489067i	0.986003	+	0.166725i	$0.0533191\pi$
$954$	8090.61	−	5199.52i	0.274574	−	0.176458i
$955$	7534.67	+	2212.38i	0.255305	+	0.0749643i
$956$	57671.6	−	16933.9i	1.95108	−	0.572889i
$957$	2883.83	−	20057.5i	0.0974095	−	0.677498i
$958$	−56995.8	+	65776.7i	−1.92218	+	2.21832i
$959$	46920.2	+	30153.8i	1.57991	+	1.01535i
$960$	−5580.84	−	6440.63i	−0.187626	−	0.216532i
$961$	10280.7	−	11864.5i	0.345093	−	0.398258i
$962$	−31296.7	−	9189.53i	−1.04890	−	0.307986i
$963$	7722.53	−	16910.0i	0.258416	−	0.565853i
$964$	117968.	+	34638.6i	3.94139	+	1.15730i
$965$	−19163.5	−	12315.6i	−0.639269	−	0.410833i
$966$	20125.7	+	44069.2i	0.670326	+	1.46781i
$967$	15660.0			0.520777			0.260389	−	0.965504i	$-0.416149\pi$
$967$	15660.0			0.520777			0.260389	+	0.965504i	$0.416149\pi$
$968$	−14612.0			−0.485172
$969$	4014.71	+	8790.98i	0.133097	+	0.291442i
$970$	22932.0	+	26465.0i	0.759075	+	0.876020i
$971$	3694.60	−	25696.5i	0.122106	−	0.849269i	−0.833056	−	0.553188i	$-0.813411\pi$
$971$	3694.60	−	25696.5i	0.122106	−	0.849269i	0.955163	−	0.296081i	$-0.0956799\pi$
$972$	−648.968	+	4513.67i	−0.0214153	+	0.148947i
$973$	−2651.07	−	3059.49i	−0.0873477	−	0.100805i
$974$	38469.6	+	84236.8i	1.26555	+	2.77117i
$975$	−1454.19			−0.0477656
$976$	43856.6			1.43834
$977$	8983.88	+	19672.0i	0.294186	+	0.644178i	0.997792	−	0.0664126i	$-0.0211553\pi$
$977$	8983.88	+	19672.0i	0.294186	+	0.644178i	−0.703606	+	0.710590i	$0.748428\pi$
$978$	−48066.7	−	30890.6i	−1.57158	−	1.00999i
$979$	5841.59	+	1715.25i	0.190703	+	0.0559954i
$980$	10657.5	−	23336.7i	0.347390	−	0.760678i
$981$	2987.68	+	877.262i	0.0972367	+	0.0285513i
$982$	21493.3	−	24804.6i	0.698450	−	0.806055i
$983$	−9629.11	−	11112.6i	−0.312432	−	0.360566i	0.577715	−	0.816238i	$-0.303944\pi$
$983$	−9629.11	−	11112.6i	−0.312432	−	0.360566i	−0.890148	+	0.455672i	$0.849399\pi$
$984$	−39857.7	−	25615.0i	−1.29128	−	0.829853i
$985$	−14764.3	+	17039.0i	−0.477595	+	0.551174i
$986$	−10835.5	+	75362.5i	−0.349972	+	2.43411i
$987$	−17583.5	+	5162.98i	−0.567060	+	0.166504i
$988$	15401.2	+	4522.20i	0.495928	+	0.145618i
$989$	−14243.9	+	9153.97i	−0.457966	+	0.294317i
$990$	−2159.36	+	15018.7i	−0.0693223	+	0.482147i
$991$	−27836.6	+	8173.55i	−0.892288	+	0.261999i	−0.695568	−	0.718460i	$-0.744847\pi$
$991$	−27836.6	+	8173.55i	−0.892288	+	0.261999i	−0.196720	+	0.980460i	$0.563029\pi$
$992$	−13241.7	+	28995.3i	−0.423815	+	0.928025i
$993$	4443.65	−	9730.24i	0.142009	−	0.310957i
$994$	95982.2	−	61684.0i	3.06275	−	1.96831i
$995$	8873.90	+	10241.0i	0.282735	+	0.326294i
$996$	7473.21	+	51977.3i	0.237749	+	1.65358i
$997$	6097.65	+	13352.0i	0.193695	+	0.424134i	0.981414	−	0.191901i	$-0.0614653\pi$
$997$	6097.65	+	13352.0i	0.193695	+	0.424134i	−0.787719	+	0.616035i	$0.788738\pi$
$998$	11557.2	+	80381.8i	0.366568	+	2.54954i
$999$	7572.38	+	4866.47i	0.239819	+	0.154122i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.4.i.a.25.1	✓	170
67.59	even	11	inner	201.4.i.a.193.1	yes	170

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.4.i.a.25.1	✓	170	1.1	even	1	trivial
201.4.i.a.193.1	yes	170	67.59	even	11	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:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	201.i (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.736275 - 5.12091i) q^{2} +(-1.96458 + 2.26725i) q^{3} +(-18.0056 + 5.28693i) q^{4} +(8.38592 - 5.38931i) q^{5} +(13.0568 + 8.39112i) q^{6} +(3.11844 + 21.6892i) q^{7} +(23.1376 + 50.6642i) q^{8} +(-1.28083 - 8.90839i) q^{9} +O(q^{10})\)	\(q+(-0.736275 - 5.12091i) q^{2} +(-1.96458 + 2.26725i) q^{3} +(-18.0056 + 5.28693i) q^{4} +(8.38592 - 5.38931i) q^{5} +(13.0568 + 8.39112i) q^{6} +(3.11844 + 21.6892i) q^{7} +(23.1376 + 50.6642i) q^{8} +(-1.28083 - 8.90839i) q^{9} +(-33.7725 - 38.9755i) q^{10} +(27.5008 - 17.6737i) q^{11} +(23.3868 - 51.2099i) q^{12} +(7.85610 - 17.2025i) q^{13} +(108.772 - 31.9384i) q^{14} +(-4.25594 + 29.6007i) q^{15} +(116.117 - 74.6238i) q^{16} +(68.3394 + 20.0663i) q^{17} +(-44.6760 + 13.1181i) q^{18} +(6.43682 - 44.7690i) q^{19} +(-122.501 + 141.374i) q^{20} +(-55.3012 - 35.5399i) q^{21} +(-110.754 - 127.816i) q^{22} +(93.2869 - 107.659i) q^{23} +(-160.324 - 47.0754i) q^{24} +(-10.6478 + 23.3154i) q^{25} +(-93.8764 - 27.5646i) q^{26} +(22.7138 + 14.5973i) q^{27} +(-170.819 - 374.041i) q^{28} -206.623 q^{29} +154.716 q^{30} +(-49.3138 - 107.982i) q^{31} +(-175.843 - 202.933i) q^{32} +(-13.9569 + 97.0726i) q^{33} +(52.4409 - 364.734i) q^{34} +(143.041 + 165.078i) q^{35} +(70.1603 + 153.630i) q^{36} +333.382 q^{37} -233.997 q^{38} +(23.5683 + 51.6074i) q^{39} +(467.075 + 300.171i) q^{40} +(272.063 + 79.8849i) q^{41} +(-141.280 + 309.360i) q^{42} +(-114.044 - 33.4862i) q^{43} +(-401.730 + 463.621i) q^{44} +(-58.7510 - 67.8023i) q^{45} +(-619.996 - 398.447i) q^{46} +(182.559 - 210.685i) q^{47} +(-58.9305 + 409.870i) q^{48} +(-131.591 + 38.6385i) q^{49} +(127.235 + 37.3597i) q^{50} +(-179.754 + 115.521i) q^{51} +(-50.5059 + 351.276i) q^{52} +(-198.182 + 58.1914i) q^{53} +(58.0278 - 127.063i) q^{54} +(135.371 - 296.421i) q^{55} +(-1026.71 + 659.829i) q^{56} +(88.8569 + 102.546i) q^{57} +(152.132 + 1058.10i) q^{58} +(-361.860 - 792.363i) q^{59} +(-79.8661 - 555.481i) q^{60} +(267.297 + 171.781i) q^{61} +(-516.658 + 332.036i) q^{62} +(189.222 - 55.5605i) q^{63} +(-186.618 + 215.369i) q^{64} +(-26.8287 - 186.597i) q^{65} +507.376 q^{66} +(448.306 - 315.888i) q^{67} -1336.58 q^{68} +(60.8196 + 423.009i) q^{69} +(740.031 - 854.041i) q^{70} +(965.670 - 283.546i) q^{71} +(421.701 - 271.011i) q^{72} +(592.333 + 380.669i) q^{73} +(-245.461 - 1707.22i) q^{74} +(-31.9433 - 69.9461i) q^{75} +(120.792 + 840.126i) q^{76} +(469.088 + 541.356i) q^{77} +(246.924 - 158.688i) q^{78} +(102.308 - 224.023i) q^{79} +(571.577 - 1251.58i) q^{80} +(-77.7189 + 22.8203i) q^{81} +(208.770 - 1452.03i) q^{82} +(-784.686 + 504.287i) q^{83} +(1183.63 + 347.546i) q^{84} +(681.233 - 200.028i) q^{85} +(-87.5123 + 608.661i) q^{86} +(405.928 - 468.466i) q^{87} +(1531.73 + 984.381i) q^{88} +(121.961 + 140.750i) q^{89} +(-303.952 + 350.780i) q^{90} +(397.606 + 116.748i) q^{91} +(-1110.51 + 2431.67i) q^{92} +(341.704 + 100.333i) q^{93} +(-1213.31 - 779.747i) q^{94} +(-187.295 - 410.120i) q^{95} +805.557 q^{96} -679.015 q^{97} +(294.751 + 645.415i) q^{98} +(-192.668 - 222.351i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 170 q + 2 q^{2} - 51 q^{3} - 82 q^{4} + 4 q^{5} - 27 q^{6} - 16 q^{7} - 177 q^{8} - 153 q^{9}+O(q^{10}) \) 170 * q + 2 * q^2 - 51 * q^3 - 82 * q^4 + 4 * q^5 - 27 * q^6 - 16 * q^7 - 177 * q^8 - 153 * q^9	\( 170 q + 2 q^{2} - 51 q^{3} - 82 q^{4} + 4 q^{5} - 27 q^{6} - 16 q^{7} - 177 q^{8} - 153 q^{9} + 49 q^{10} + 144 q^{11} - 81 q^{12} + 20 q^{13} - 146 q^{14} - 54 q^{15} - 458 q^{16} + 38 q^{17} + 18 q^{18} + 152 q^{19} + 284 q^{20} - 48 q^{21} + 133 q^{22} + 366 q^{23} + 162 q^{24} - 333 q^{25} - 220 q^{26} - 459 q^{27} + 1621 q^{28} - 1448 q^{29} - 414 q^{30} - 670 q^{31} - 301 q^{32} + 234 q^{33} + 78 q^{34} + 1476 q^{35} - 243 q^{36} - 3030 q^{37} - 356 q^{38} + 60 q^{39} + 637 q^{40} - 882 q^{41} - 1098 q^{42} + 2702 q^{43} - 951 q^{44} + 36 q^{45} - 483 q^{46} + 776 q^{47} - 1374 q^{48} + 1433 q^{49} + 3267 q^{50} + 378 q^{51} + 4474 q^{52} + 2840 q^{53} + 54 q^{54} + 1982 q^{55} + 3828 q^{56} + 489 q^{57} + 1740 q^{58} - 1136 q^{59} - 3339 q^{60} - 868 q^{61} + 452 q^{62} + 1341 q^{63} + 515 q^{64} + 3852 q^{65} - 2604 q^{66} - 1061 q^{67} - 32806 q^{68} - 1278 q^{69} - 2584 q^{70} + 4000 q^{71} - 306 q^{72} + 7155 q^{73} + 1288 q^{74} - 999 q^{75} - 2884 q^{76} - 2246 q^{77} + 792 q^{78} + 2513 q^{79} + 22708 q^{80} - 1377 q^{81} - 6136 q^{82} + 2308 q^{83} + 2718 q^{84} - 6494 q^{85} + 124 q^{86} + 738 q^{87} + 2782 q^{88} + 1050 q^{89} + 441 q^{90} - 2750 q^{91} + 1272 q^{92} + 1422 q^{93} + 2292 q^{94} - 766 q^{95} + 252 q^{96} - 7450 q^{97} + 3195 q^{98} - 288 q^{99}+O(q^{100}) \) 170 * q + 2 * q^2 - 51 * q^3 - 82 * q^4 + 4 * q^5 - 27 * q^6 - 16 * q^7 - 177 * q^8 - 153 * q^9 + 49 * q^10 + 144 * q^11 - 81 * q^12 + 20 * q^13 - 146 * q^14 - 54 * q^15 - 458 * q^16 + 38 * q^17 + 18 * q^18 + 152 * q^19 + 284 * q^20 - 48 * q^21 + 133 * q^22 + 366 * q^23 + 162 * q^24 - 333 * q^25 - 220 * q^26 - 459 * q^27 + 1621 * q^28 - 1448 * q^29 - 414 * q^30 - 670 * q^31 - 301 * q^32 + 234 * q^33 + 78 * q^34 + 1476 * q^35 - 243 * q^36 - 3030 * q^37 - 356 * q^38 + 60 * q^39 + 637 * q^40 - 882 * q^41 - 1098 * q^42 + 2702 * q^43 - 951 * q^44 + 36 * q^45 - 483 * q^46 + 776 * q^47 - 1374 * q^48 + 1433 * q^49 + 3267 * q^50 + 378 * q^51 + 4474 * q^52 + 2840 * q^53 + 54 * q^54 + 1982 * q^55 + 3828 * q^56 + 489 * q^57 + 1740 * q^58 - 1136 * q^59 - 3339 * q^60 - 868 * q^61 + 452 * q^62 + 1341 * q^63 + 515 * q^64 + 3852 * q^65 - 2604 * q^66 - 1061 * q^67 - 32806 * q^68 - 1278 * q^69 - 2584 * q^70 + 4000 * q^71 - 306 * q^72 + 7155 * q^73 + 1288 * q^74 - 999 * q^75 - 2884 * q^76 - 2246 * q^77 + 792 * q^78 + 2513 * q^79 + 22708 * q^80 - 1377 * q^81 - 6136 * q^82 + 2308 * q^83 + 2718 * q^84 - 6494 * q^85 + 124 * q^86 + 738 * q^87 + 2782 * q^88 + 1050 * q^89 + 441 * q^90 - 2750 * q^91 + 1272 * q^92 + 1422 * q^93 + 2292 * q^94 - 766 * q^95 + 252 * q^96 - 7450 * q^97 + 3195 * q^98 - 288 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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