LMFDB - Embedded newform 161.4.o.a.10.25

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [161,4,Mod(5,161)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(161, 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("161.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 161 = 7 \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	161.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:	$9.49930751092$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$46$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.25
Character	$\chi$	$=$	161.10
Dual form			161.4.o.a.145.25

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.249977 - 0.722262i) q^{2} +(3.86457 + 7.49623i) q^{3} +(5.82925 + 4.58417i) q^{4} +(0.997579 - 0.0952572i) q^{5} +(6.38029 - 0.917348i) q^{6} +(9.73557 + 15.7550i) q^{7} +(9.91190 - 6.36999i) q^{8} +(-25.5970 + 35.9459i) q^{9} +(0.180571 - 0.744325i) q^{10} +(31.3617 - 10.8544i) q^{11} +(-11.8364 + 61.4133i) q^{12} +(-23.6126 - 80.4171i) q^{13} +(13.8129 - 3.09325i) q^{14} +(4.56929 + 7.10995i) q^{15} +(11.8638 + 48.9031i) q^{16} +(-34.1669 - 13.6784i) q^{17} +(19.5637 + 27.4734i) q^{18} +(9.27159 - 3.71179i) q^{19} +(6.25181 + 4.01780i) q^{20} +(-80.4790 + 133.866i) q^{21} -25.3647i q^{22} +(-87.4873 - 67.1787i) q^{23} +(86.0562 + 49.6845i) q^{24} +(-121.755 + 23.4664i) q^{25} +(-63.9848 - 3.04797i) q^{26} +(-142.986 - 20.5583i) q^{27} +(-15.4724 + 136.469i) q^{28} +(-3.51238 - 24.4291i) q^{29} +(6.27746 - 1.52290i) q^{30} +(187.484 - 8.93097i) q^{31} +(132.118 + 12.6157i) q^{32} +(202.566 + 193.147i) q^{33} +(-18.4203 + 21.2582i) q^{34} +(11.2128 + 14.7894i) q^{35} +(-313.993 + 92.1968i) q^{36} +(-95.6786 - 68.1324i) q^{37} +(-0.363194 - 7.62438i) q^{38} +(511.572 - 487.783i) q^{39} +(9.28111 - 7.29875i) q^{40} +(211.626 + 96.6463i) q^{41} +(76.5686 + 91.5904i) q^{42} +(-200.401 + 311.830i) q^{43} +(232.573 + 80.4944i) q^{44} +(-22.1109 + 38.2972i) q^{45} +(-70.3904 + 46.3955i) q^{46} +(437.593 - 252.645i) q^{47} +(-320.741 + 277.923i) q^{48} +(-153.438 + 306.767i) q^{49} +(-13.4871 + 93.8050i) q^{50} +(-29.5044 - 308.984i) q^{51} +(231.002 - 577.015i) q^{52} +(-179.849 - 188.620i) q^{53} +(-50.5918 + 98.1344i) q^{54} +(30.2518 - 13.8155i) q^{55} +(196.857 + 94.1461i) q^{56} +(63.6552 + 55.1575i) q^{57} +(-18.5222 - 3.56987i) q^{58} +(554.675 + 134.563i) q^{59} +(-5.95772 + 62.3921i) q^{60} +(-592.263 - 305.333i) q^{61} +(40.4163 - 137.645i) q^{62} +(-815.527 - 53.3254i) q^{63} +(-125.096 + 273.923i) q^{64} +(-31.2157 - 77.9731i) q^{65} +(190.139 - 98.0237i) q^{66} +(-113.556 - 589.185i) q^{67} +(-136.463 - 236.362i) q^{68} +(165.486 - 915.442i) q^{69} +(13.4848 - 4.40153i) q^{70} +(-670.125 - 773.365i) q^{71} +(-24.7394 + 519.345i) q^{72} +(99.1552 - 126.086i) q^{73} +(-73.1269 + 52.0734i) q^{74} +(-646.440 - 822.016i) q^{75} +(71.0619 + 20.8657i) q^{76} +(476.334 + 388.428i) q^{77} +(-224.426 - 491.424i) q^{78} +(-539.301 + 565.603i) q^{79} +(16.4934 + 47.6546i) q^{80} +(-8.78088 - 25.3707i) q^{81} +(122.706 - 128.690i) q^{82} +(488.363 + 1069.37i) q^{83} +(-1082.80 + 411.410i) q^{84} +(-35.3871 - 10.3906i) q^{85} +(175.127 + 222.692i) q^{86} +(169.552 - 120.738i) q^{87} +(241.711 - 307.361i) q^{88} +(29.5619 - 620.580i) q^{89} +(22.1334 + 25.5433i) q^{90} +(1037.09 - 1154.92i) q^{91} +(-202.026 - 792.658i) q^{92} +(791.495 + 1370.91i) q^{93} +(-73.0872 - 379.212i) q^{94} +(8.89557 - 4.58598i) q^{95} +(416.010 + 1039.14i) q^{96} +(360.503 - 789.390i) q^{97} +(183.210 + 187.507i) q^{98} +(-412.593 + 1405.16i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) $ 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/161\mathbb{Z}\right)^\times$.

$n$	$24$	$120$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.249977	−	0.722262i	0.0883803	−	0.255358i	−0.892146	−	0.451748i	$-0.850801\pi$
$2$	0.249977	−	0.722262i	0.0883803	−	0.255358i	0.980526	+	0.196390i	$0.0629218\pi$
$3$	3.86457	+	7.49623i	0.743738	+	1.44265i	0.891213	+	0.453584i	$0.149855\pi$
$3$	3.86457	+	7.49623i	0.743738	+	1.44265i	−0.147476	+	0.989066i	$0.547115\pi$
$4$	5.82925	+	4.58417i	0.728656	+	0.573022i
$5$	0.997579	−	0.0952572i	0.0892262	−	0.00852006i	−0.0503475	−	0.998732i	$-0.516033\pi$
$5$	0.997579	−	0.0952572i	0.0892262	−	0.00852006i	0.139574	+	0.990212i	$0.455427\pi$
$6$	6.38029	−	0.917348i	0.434124	−	0.0624176i
$7$	9.73557	+	15.7550i	0.525671	+	0.850688i
$7$	9.73557	+	15.7550i	0.525671	+	0.850688i
$8$	9.91190	−	6.36999i	0.438048	−	0.281516i
$9$	−25.5970	+	35.9459i	−0.948036	+	1.33133i
$10$	0.180571	−	0.744325i	0.00571017	−	0.0235376i
$11$	31.3617	−	10.8544i	0.859627	−	0.297520i	0.138534	−	0.990358i	$-0.455761\pi$
$11$	31.3617	−	10.8544i	0.859627	−	0.297520i	0.721093	+	0.692838i	$0.243640\pi$
$12$	−11.8364	+	61.4133i	−0.284740	+	1.47737i
$13$	−23.6126	−	80.4171i	−0.503765	−	1.71567i	−0.681706	−	0.731626i	$-0.738762\pi$
$13$	−23.6126	−	80.4171i	−0.503765	−	1.71567i	0.177941	−	0.984041i	$-0.443057\pi$
$14$	13.8129	−	3.09325i	0.263689	−	0.0590503i
$15$	4.56929	+	7.10995i	0.0786523	+	0.122385i
$16$	11.8638	+	48.9031i	0.185371	+	0.764111i
$17$	−34.1669	−	13.6784i	−0.487453	−	0.195147i	0.114899	−	0.993377i	$-0.463345\pi$
$17$	−34.1669	−	13.6784i	−0.487453	−	0.195147i	−0.602352	+	0.798231i	$0.705770\pi$
$18$	19.5637	+	27.4734i	0.256178	+	0.359752i
$19$	9.27159	−	3.71179i	0.111950	−	0.0448180i	−0.315011	−	0.949088i	$-0.602008\pi$
$19$	9.27159	−	3.71179i	0.111950	−	0.0448180i	0.426961	+	0.904270i	$0.359584\pi$
$20$	6.25181	+	4.01780i	0.0698974	+	0.0449203i
$21$	−80.4790	+	133.866i	−0.836283	+	1.39105i
$22$		−	25.3647i		−	0.245808i
$23$	−87.4873	−	67.1787i	−0.793146	−	0.609032i
$23$	−87.4873	−	67.1787i	−0.793146	−	0.609032i
$24$	86.0562	+	49.6845i	0.731923	+	0.422576i
$25$	−121.755	+	23.4664i	−0.974040	+	0.187731i
$26$	−63.9848	−	3.04797i	−0.482633	−	0.0229906i
$27$	−142.986	−	20.5583i	−1.01918	−	0.146535i
$28$	−15.4724	+	136.469i	−0.104429	+	0.921080i
$29$	−3.51238	−	24.4291i	−0.0224908	−	0.156427i	0.975481	−	0.220083i	$-0.0706329\pi$
$29$	−3.51238	−	24.4291i	−0.0224908	−	0.156427i	−0.997972	+	0.0636565i	$0.979724\pi$
$30$	6.27746	−	1.52290i	0.0382034	−	0.00926805i
$31$	187.484	−	8.93097i	1.08623	−	0.0517435i	0.503182	−	0.864181i	$-0.332163\pi$
$31$	187.484	−	8.93097i	1.08623	−	0.0517435i	0.583049	+	0.812437i	$0.301860\pi$
$32$	132.118	+	12.6157i	0.729856	+	0.0696928i
$33$	202.566	+	193.147i	1.06855	+	1.01886i
$34$	−18.4203	+	21.2582i	−0.0929135	+	0.107228i
$35$	11.2128	+	14.7894i	0.0541515	+	0.0714249i
$36$	−313.993	+	92.1968i	−1.45367	+	0.426837i
$37$	−95.6786	−	68.1324i	−0.425121	−	0.302727i	0.347400	−	0.937717i	$-0.387065\pi$
$37$	−95.6786	−	68.1324i	−0.425121	−	0.302727i	−0.772520	+	0.634990i	$0.781004\pi$
$38$	−0.363194	−	7.62438i	−0.00155047	−	0.0325484i
$39$	511.572	−	487.783i	2.10044	−	2.00276i
$40$	9.28111	−	7.29875i	0.0366868	−	0.0288508i
$41$	211.626	+	96.6463i	0.806107	+	0.368137i	0.775463	−	0.631393i	$-0.217517\pi$
$41$	211.626	+	96.6463i	0.806107	+	0.368137i	0.0306447	+	0.999530i	$0.490244\pi$
$42$	76.5686	+	91.5904i	0.281304	+	0.336493i
$43$	−200.401	+	311.830i	−0.710718	+	1.10590i	0.278640	+	0.960396i	$0.410116\pi$
$43$	−200.401	+	311.830i	−0.710718	+	1.10590i	−0.989358	+	0.145503i	$0.953520\pi$
$44$	232.573	+	80.4944i	0.796858	+	0.275795i
$45$	−22.1109	+	38.2972i	−0.0732466	+	0.126867i
$46$	−70.3904	+	46.3955i	−0.225620	+	0.148710i
$47$	437.593	−	252.645i	1.35808	−	0.784085i	0.368711	−	0.929544i	$-0.379799\pi$
$47$	437.593	−	252.645i	1.35808	−	0.784085i	0.989364	+	0.145459i	$0.0464658\pi$
$48$	−320.741	+	277.923i	−0.964477	+	0.835724i
$49$	−153.438	+	306.767i	−0.447340	+	0.894364i
$50$	−13.4871	+	93.8050i	−0.0381474	+	0.265321i
$51$	−29.5044	−	308.984i	−0.0810087	−	0.848361i
$52$	231.002	−	577.015i	0.616043	−	1.53880i
$53$	−179.849	−	188.620i	−0.466116	−	0.488849i	0.448152	−	0.893957i	$-0.352082\pi$
$53$	−179.849	−	188.620i	−0.466116	−	0.488849i	−0.914269	+	0.405109i	$0.867234\pi$
$54$	−50.5918	+	98.1344i	−0.127494	+	0.247304i
$55$	30.2518	−	13.8155i	0.0741663	−	0.0338706i
$56$	196.857	+	94.1461i	0.469752	+	0.224657i
$57$	63.6552	+	55.1575i	0.147918	+	0.128172i
$58$	−18.5222	−	3.56987i	−0.0419326	−	0.00808184i
$59$	554.675	+	134.563i	1.22394	+	0.296925i	0.795113	−	0.606461i	$-0.207412\pi$
$59$	554.675	+	134.563i	1.22394	+	0.296925i	0.428828	+	0.903386i	$0.358927\pi$
$60$	−5.95772	+	62.3921i	−0.0128190	+	0.134246i
$61$	−592.263	−	305.333i	−1.24314	−	0.640883i	−0.294020	−	0.955799i	$-0.594993\pi$
$61$	−592.263	−	305.333i	−1.24314	−	0.640883i	−0.949119	+	0.314917i	$0.898023\pi$
$62$	40.4163	−	137.645i	0.0827883	−	0.281951i
$63$	−815.527	−	53.3254i	−1.63090	−	0.106641i
$64$	−125.096	+	273.923i	−0.244329	+	0.535006i
$65$	−31.2157	−	77.9731i	−0.0595667	−	0.148790i
$66$	190.139	−	98.0237i	0.354614	−	0.182816i
$67$	−113.556	−	589.185i	−0.207061	−	1.07433i	−0.925501	−	0.378745i	$-0.876356\pi$
$67$	−113.556	−	589.185i	−0.207061	−	1.07433i	0.718440	−	0.695589i	$-0.244857\pi$
$68$	−136.463	−	236.362i	−0.243362	−	0.421516i
$69$	165.486	−	915.442i	0.288727	−	1.59719i
$70$	13.4848	−	4.40153i	0.0230248	−	0.00751548i
$71$	−670.125	−	773.365i	−1.12013	−	1.29270i	−0.951715	−	0.306982i	$-0.900681\pi$
$71$	−670.125	−	773.365i	−1.12013	−	1.29270i	−0.168414	−	0.985716i	$-0.553865\pi$
$72$	−24.7394	+	519.345i	−0.0404940	+	0.850074i
$73$	99.1552	−	126.086i	0.158976	−	0.202154i	−0.700039	−	0.714104i	$-0.746834\pi$
$73$	99.1552	−	126.086i	0.158976	−	0.202154i	0.859015	+	0.511950i	$0.171077\pi$
$74$	−73.1269	+	52.0734i	−0.114876	+	0.0818029i
$75$	−646.440	−	822.016i	−0.995260	−	1.26558i
$76$	71.0619	+	20.8657i	0.107255	+	0.0314928i
$77$	476.334	+	388.428i	0.704977	+	0.574877i
$78$	−224.426	−	491.424i	−0.325785	−	0.713369i
$79$	−539.301	+	565.603i	−0.768053	+	0.805510i	−0.985341	−	0.170597i	$-0.945430\pi$
$79$	−539.301	+	565.603i	−0.768053	+	0.805510i	0.217288	+	0.976107i	$0.430279\pi$
$80$	16.4934	+	47.6546i	0.0230503	+	0.0665993i
$81$	−8.78088	−	25.3707i	−0.0120451	−	0.0348020i
$82$	122.706	−	128.690i	0.165251	−	0.173310i
$83$	488.363	+	1069.37i	0.645841	+	1.41419i	0.895148	+	0.445769i	$0.147070\pi$
$83$	488.363	+	1069.37i	0.645841	+	1.41419i	−0.249307	+	0.968424i	$0.580203\pi$
$84$	−1082.80	+	411.410i	−1.40646	+	0.534388i
$85$	−35.3871	−	10.3906i	−0.0451562	−	0.0132590i
$86$	175.127	+	222.692i	0.219587	+	0.279227i
$87$	169.552	−	120.738i	0.208942	−	0.148787i
$88$	241.711	−	307.361i	0.292801	−	0.372327i
$89$	29.5619	−	620.580i	0.0352084	−	0.739116i	−0.910384	−	0.413764i	$-0.864214\pi$
$89$	29.5619	−	620.580i	0.0352084	−	0.739116i	0.945593	−	0.325353i	$-0.105483\pi$
$90$	22.1334	+	25.5433i	0.0259229	+	0.0299166i
$91$	1037.09	−	1154.92i	1.19468	−	1.33042i
$92$	−202.026	−	792.658i	−0.228942	−	0.898265i
$93$	791.495	+	1370.91i	0.882519	+	1.52857i
$94$	−73.0872	−	379.212i	−0.0801954	−	0.416093i
$95$	8.89557	−	4.58598i	0.00960701	−	0.00495276i
$96$	416.010	+	1039.14i	0.442279	+	1.10476i
$97$	360.503	−	789.390i	0.377356	−	0.826293i	−0.621717	−	0.783242i	$-0.713565\pi$
$97$	360.503	−	789.390i	0.377356	−	0.826293i	0.999073	−	0.0430517i	$-0.0137080\pi$
$98$	183.210	+	187.507i	0.188847	+	0.193276i
$99$	−412.593	+	1405.16i	−0.418860	+	1.42651i
$100$	−817.314	−	421.355i	−0.817314	−	0.421355i
$101$	−139.331	+	1459.14i	−0.137267	+	1.43753i	0.620093	+	0.784528i	$0.287095\pi$
$101$	−139.331	+	1459.14i	−0.137267	+	1.43753i	−0.757360	+	0.652997i	$0.773511\pi$
$102$	−230.543	−	55.9291i	−0.223795	−	0.0542922i
$103$	1143.81	+	220.451i	1.09420	+	0.210890i	0.704255	−	0.709947i	$-0.251281\pi$
$103$	1143.81	+	220.451i	1.09420	+	0.210890i	0.389947	+	0.920837i	$0.372493\pi$
$104$	−746.301	−	646.674i	−0.703662	−	0.609727i
$105$	−67.5324	+	141.208i	−0.0627665	+	0.131243i
$106$	−181.191	+	82.7473i	−0.166027	+	0.0758220i
$107$	521.963	−	1012.47i	0.471590	−	0.914756i	−0.526330	−	0.850281i	$-0.676432\pi$
$107$	521.963	−	1012.47i	0.471590	−	0.914756i	0.997919	−	0.0644757i	$-0.0205375\pi$
$108$	−739.260	−	775.314i	−0.658661	−	0.690783i
$109$	154.479	−	385.871i	0.135747	−	0.339080i	−0.844882	−	0.534952i	$-0.820330\pi$
$109$	154.479	−	385.871i	0.135747	−	0.339080i	0.980629	+	0.195872i	$0.0627538\pi$
$110$	−2.41617	−	25.3033i	−0.00209430	−	0.0219325i
$111$	140.979	−	980.531i	0.120551	−	0.838450i
$112$	−654.966	+	663.013i	−0.552576	+	0.559365i
$113$	634.148	−	549.493i	0.527926	−	0.457451i	−0.349655	−	0.936878i	$-0.613701\pi$
$113$	634.148	−	549.493i	0.527926	−	0.457451i	0.877581	+	0.479428i	$0.159156\pi$
$114$	55.7505	−	32.1876i	0.0458027	−	0.0264442i
$115$	−93.6747	−	58.6823i	−0.0759583	−	0.0475839i
$116$	91.5128	−	158.505i	0.0732479	−	0.126869i
$117$	3495.07	+	1209.66i	2.76171	+	0.955836i
$118$	235.846	−	366.983i	0.183994	−	0.286301i
$119$	−117.132	−	671.465i	−0.0902309	−	0.517253i
$120$	90.5806	+	41.3668i	0.0689070	+	0.0314688i
$121$	−180.501	+	141.947i	−0.135613	+	0.106647i
$122$	−368.582	+	351.442i	−0.273524	+	0.260804i
$123$	93.3612	+	1959.89i	0.0684398	+	1.43673i
$124$	1133.83	+	807.399i	0.821139	+	0.584731i
$125$	−239.415	+	70.2987i	−0.171312	+	0.0503016i
$126$	−242.378	+	575.694i	−0.171371	+	0.407039i
$127$	3.04300	−	3.51180i	0.00212616	−	0.00245372i	−0.754685	−	0.656087i	$-0.772211\pi$
$127$	3.04300	−	3.51180i	0.00212616	−	0.00245372i	0.756812	+	0.653633i	$0.226756\pi$
$128$	934.999	+	891.520i	0.645649	+	0.615625i
$129$	−3112.01	−	297.161i	−2.12401	−	0.202818i
$130$	−64.1202	+	3.05442i	−0.0432593	+	0.00206070i
$131$	226.595	−	54.9712i	0.151127	−	0.0366631i	−0.159482	−	0.987201i	$-0.550982\pi$
$131$	226.595	−	54.9712i	0.151127	−	0.0366631i	0.310609	+	0.950538i	$0.399467\pi$
$132$	295.392	+	2054.50i	0.194777	+	1.35471i
$133$	148.743	+	109.937i	0.0969750	+	0.0716749i
$134$	−453.932	−	65.2656i	−0.292640	−	0.0420753i
$135$	−144.598	−	6.88807i	−0.0921856	−	0.00439134i
$136$	−425.790	+	82.0643i	−0.268465	+	0.0517423i
$137$	930.287	+	537.101i	0.580144	+	0.334947i	0.761191	−	0.648528i	$-0.224615\pi$
$137$	930.287	+	537.101i	0.580144	+	0.334947i	−0.181046	+	0.983475i	$0.557948\pi$
$138$	−619.821	−	348.364i	−0.382338	−	0.214889i
$139$			543.143i			0.331430i	0.986174	+	0.165715i	$0.0529932\pi$
$139$			543.143i			0.331430i	−0.986174	+	0.165715i	$0.947007\pi$
$140$	−2.43528	+	137.613i	−0.00147013	+	0.0830742i
$141$	3584.99	+	2303.94i	2.14121	+	1.37607i
$142$	−726.088	+	290.682i	−0.429098	+	0.171785i
$143$	−1613.41	−	2265.71i	−0.943495	−	1.32495i
$144$	−2061.54	−	825.318i	−1.19302	−	0.477614i
$145$	−5.83092	−	24.0354i	−0.00333953	−	0.0137657i
$146$	−66.2807	−	103.135i	−0.0375714	−	0.0584623i
$147$	−2892.57	+	35.3208i	−1.62296	+	0.0198178i
$148$	−245.404	−	835.768i	−0.136298	−	0.464187i
$149$	−613.542	+	3183.36i	−0.337338	+	1.75028i	0.276660	+	0.960968i	$0.410772\pi$
$149$	−613.542	+	3183.36i	−0.337338	+	1.75028i	−0.613998	+	0.789307i	$0.710440\pi$
$150$	−755.306	+	261.414i	−0.411136	+	0.142296i
$151$	35.2644	−	145.362i	0.0190051	−	0.0783403i	−0.961519	−	0.274737i	$-0.911409\pi$
$151$	35.2644	−	145.362i	0.0190051	−	0.0783403i	0.980524	+	0.196397i	$0.0629242\pi$
$152$	68.2550	−	95.8508i	0.0364225	−	0.0511482i
$153$	1366.25	−	878.036i	0.721927	−	0.463954i
$154$	399.619	−	246.939i	0.209105	−	0.129214i
$155$	186.180	−	26.7686i	0.0964793	−	0.0138716i
$156$	5218.16	−	498.274i	2.67812	−	0.255730i
$157$	−2221.65	−	1747.12i	−1.12934	−	0.888125i	−0.134638	−	0.990895i	$-0.542987\pi$
$157$	−2221.65	−	1747.12i	−1.12934	−	0.888125i	−0.994705	+	0.102770i	$0.967230\pi$
$158$	273.700	+	530.905i	0.137813	+	0.267320i
$159$	718.900	−	2077.13i	0.358569	−	1.03602i
$160$	133.000			0.0657160
$161$	206.660	−	2032.38i	0.101162	−	0.994870i
$162$	−20.5193			−0.00995153
$163$	−377.615	+	1091.05i	−0.181454	+	0.524278i	−0.998642	−	0.0520935i	$-0.983411\pi$
$163$	−377.615	+	1091.05i	−0.181454	+	0.524278i	0.817188	+	0.576371i	$0.195532\pi$
$164$	790.577	+	1533.51i	0.376425	+	0.730162i
$165$	220.474	+	173.383i	0.104024	+	0.0818052i
$166$	894.441	−	85.4088i	0.418205	−	0.0399338i
$167$	−361.963	+	52.0424i	−0.167722	+	0.0241147i	−0.225664	−	0.974205i	$-0.572455\pi$
$167$	−361.963	+	52.0424i	−0.167722	+	0.0241147i	0.0579423	+	0.998320i	$0.481546\pi$
$168$	55.0274	+	1839.52i	0.0252706	+	0.844773i
$169$	−4061.11	+	2609.92i	−1.84848	+	1.18795i
$170$	−16.3507	+	22.9614i	−0.00737672	+	0.0103592i
$171$	−103.901	+	428.286i	−0.0464650	+	0.191531i
$172$	−2597.67	+	899.062i	−1.15157	+	0.398563i
$173$	−229.283	+	1189.63i	−0.100763	+	0.522811i	0.896112	+	0.443827i	$0.146380\pi$
$173$	−229.283	+	1189.63i	−0.100763	+	0.522811i	−0.996876	+	0.0789835i	$0.974833\pi$
$174$	−44.8200	−	152.643i	−0.0195276	−	0.0665048i
$175$	−1555.07	−	1689.79i	−0.671725	−	0.729919i
$176$	902.880	+	1404.91i	0.386688	+	0.601699i
$177$	1134.87	+	4678.00i	0.481932	+	1.98655i
$178$	−440.831	−	176.482i	−0.185628	−	0.0743141i
$179$	−140.825	−	197.761i	−0.0588030	−	0.0825773i	0.784127	−	0.620600i	$-0.213111\pi$
$179$	−140.825	−	197.761i	−0.0588030	−	0.0825773i	−0.842930	+	0.538023i	$0.819171\pi$
$180$	−304.451	+	121.884i	−0.126069	+	0.0504704i
$181$	−907.428	−	583.168i	−0.372644	−	0.239484i	0.340892	−	0.940103i	$-0.389271\pi$
$181$	−907.428	−	583.168i	−0.372644	−	0.239484i	−0.713536	+	0.700619i	$0.752907\pi$
$182$	−574.907	−	1037.75i	−0.234148	−	0.422655i
$183$		−	5619.72i		−	2.27006i
$184$	−1295.09	−	108.576i	−0.518888	−	0.0435016i
$185$	−101.937	−	58.8534i	−0.0405111	−	0.0233891i
$186$	1188.01	−	228.970i	0.468329	−	0.0902631i
$187$	−1220.00	−	58.1158i	−0.477087	−	0.0227265i
$188$	3709.01	+	533.275i	1.43887	+	0.206878i
$189$	−1068.16	−	2452.89i	−0.411095	−	0.944029i
$190$	−1.08859	−	7.57132i	−0.000415657	−	0.00289095i
$191$	−1507.78	+	365.783i	−0.571199	+	0.138571i	−0.510947	−	0.859612i	$-0.670705\pi$
$191$	−1507.78	+	365.783i	−0.571199	+	0.138571i	−0.0602512	+	0.998183i	$0.519190\pi$
$192$	−2536.83	+	120.844i	−0.953543	+	0.0454228i
$193$	1232.97	+	117.734i	0.459851	+	0.0439104i	0.322411	−	0.946600i	$-0.395507\pi$
$193$	1232.97	+	117.734i	0.459851	+	0.0439104i	0.137440	+	0.990510i	$0.456113\pi$
$194$	−480.029	−	457.707i	−0.177650	−	0.169389i
$195$	463.869	−	535.333i	0.170350	−	0.196595i
$196$	−2300.70	+	1084.84i	−0.838447	+	0.395349i
$197$	1248.44	−	366.576i	0.451512	−	0.132576i	−0.0480674	−	0.998844i	$-0.515306\pi$
$197$	1248.44	−	366.576i	0.451512	−	0.132576i	0.499579	+	0.866268i	$0.333488\pi$
$198$	911.756	+	649.259i	0.327251	+	0.233034i
$199$	127.749	+	2681.77i	0.0455068	+	0.955305i	0.900013	+	0.435864i	$0.143557\pi$
$199$	127.749	+	2681.77i	0.0455068	+	0.955305i	−0.854506	+	0.519442i	$0.826140\pi$
$200$	−1057.34	+	1008.17i	−0.373827	+	0.356443i
$201$	3977.82	−	3128.19i	1.39589	−	1.09774i
$202$	1019.05	+	465.386i	0.354952	+	0.162101i
$203$	350.685	−	293.169i	0.121248	−	0.101362i
$204$	1244.45	−	1936.40i	0.427102	−	0.664584i
$205$	220.320	+	76.2534i	0.0750624	+	0.0259794i
$206$	445.149	−	771.021i	0.150558	−	0.260775i
$207$	4654.21	−	1425.24i	1.56275	−	0.478555i
$208$	3652.51	−	2108.78i	1.21758	−	0.702969i
$209$	250.483	−	217.045i	0.0829009	−	0.0718341i
$210$	85.1078	+	84.0749i	0.0279667	+	0.0276272i
$211$	−332.623	+	2313.44i	−0.108525	+	0.754806i	0.860786	+	0.508967i	$0.169973\pi$
$211$	−332.623	+	2313.44i	−0.108525	+	0.754806i	−0.969311	+	0.245839i	$0.920937\pi$
$212$	−183.717	−	1923.97i	−0.0595177	−	0.623297i
$213$	3207.58	−	8012.14i	1.03183	−	2.57738i
$214$	−600.788	−	630.088i	−0.191911	−	0.201271i
$215$	−170.212	+	330.165i	−0.0539923	+	0.104730i
$216$	−1548.22	+	707.049i	−0.487700	+	0.222725i
$217$	1965.97	+	2866.86i	0.615018	+	0.896843i
$218$	−240.083	−	208.034i	−0.0745895	−	0.0646321i
$219$	1328.36	+	256.021i	0.409874	+	0.0789968i
$220$	239.678	+	58.1452i	0.0734504	+	0.0178189i
$221$	−293.205	+	3070.58i	−0.0892449	+	0.934615i
$222$	−672.959	−	346.934i	−0.203451	−	0.104886i
$223$	742.330	−	2528.14i	0.222915	−	0.759180i	−0.769756	−	0.638338i	$-0.779622\pi$
$223$	742.330	−	2528.14i	0.222915	−	0.759180i	0.992672	−	0.120842i	$-0.0385595\pi$
$224$	1087.48	+	2204.34i	0.324378	+	0.657515i
$225$	2273.04	−	4977.26i	0.673493	−	1.47474i
$226$	−238.355	−	595.382i	−0.0701555	−	0.175240i
$227$	−3223.55	+	1661.86i	−0.942532	+	0.485909i	−0.859782	−	0.510661i	$-0.829401\pi$
$227$	−3223.55	+	1661.86i	−0.942532	+	0.485909i	−0.0827502	+	0.996570i	$0.526370\pi$
$228$	118.210	+	613.333i	0.0343363	+	0.178153i
$229$	−2353.29	−	4076.02i	−0.679083	−	1.17621i	−0.975257	−	0.221072i	$-0.929044\pi$
$229$	−2353.29	−	4076.02i	−0.679083	−	1.17621i	0.296174	−	0.955134i	$-0.404289\pi$
$230$	−65.8005	+	52.9884i	−0.0188642	+	0.0151911i
$231$	−1070.92	+	5071.82i	−0.305027	+	1.44459i
$232$	−190.428	−	219.765i	−0.0538887	−	0.0621909i
$233$	−113.433	+	2381.26i	−0.0318938	+	0.669534i	0.925152	+	0.379597i	$0.123937\pi$
$233$	−113.433	+	2381.26i	−0.0318938	+	0.669534i	−0.957046	+	0.289937i	$0.906366\pi$
$234$	1747.38	−	2221.97i	0.488161	−	0.620747i
$235$	412.468	−	293.717i	0.114495	−	0.0815318i
$236$	2616.48	+	3327.13i	0.721688	+	0.917701i
$237$	−6324.06	−	1856.91i	−1.73330	−	0.508943i
$238$	−514.254	−	83.2509i	−0.140059	−	0.0226738i
$239$	−0.862969	−	1.88964i	−0.000233560	−	0.000511425i	0.909515	−	0.415671i	$-0.136453\pi$
$239$	−0.862969	−	1.88964i	−0.000233560	−	0.000511425i	−0.909749	+	0.415159i	$0.863726\pi$
$240$	−293.490	+	307.803i	−0.0789362	+	0.0827859i
$241$	−891.421	−	2575.59i	−0.238263	−	0.688417i	−0.999215	−	0.0396086i	$-0.987389\pi$
$241$	−891.421	−	2575.59i	−0.238263	−	0.688417i	0.760952	−	0.648808i	$-0.224732\pi$
$242$	57.4021	+	165.852i	0.0152477	+	0.0440554i
$243$	−2535.29	+	2658.93i	−0.669295	+	0.701936i
$244$	−2052.75	−	4494.90i	−0.538581	−	1.17933i
$245$	−123.844	+	320.640i	−0.0322944	+	0.0836120i
$246$	1438.89	+	422.497i	0.372929	+	0.109502i
$247$	−517.417	−	657.949i	−0.133289	−	0.169491i
$248$	1801.43	−	1282.80i	0.461255	−	0.328458i
$249$	−6128.89	+	7793.52i	−1.55985	+	1.98351i
$250$	−9.07433	+	190.494i	−0.00229564	+	0.0481915i
$251$	−520.815	−	601.052i	−0.130970	−	0.151148i	0.686476	−	0.727152i	$-0.259157\pi$
$251$	−520.815	−	601.052i	−0.130970	−	0.151148i	−0.817447	+	0.576004i	$0.804611\pi$
$252$	−4509.46	−	4049.37i	−1.12726	−	1.01225i
$253$	−3472.93	−	1157.22i	−0.863008	−	0.287564i
$254$	−1.77576	−	3.07571i	−0.000438666	−	0.000759792i
$255$	−58.8659	−	305.425i	−0.0144562	−	0.0750058i
$256$	−1263.64	+	651.454i	−0.308507	+	0.159046i
$257$	−1856.31	−	4636.84i	−0.450558	−	1.12544i	−0.963665	−	0.267115i	$-0.913930\pi$
$257$	−1856.31	−	4636.84i	−0.450558	−	1.12544i	0.513107	−	0.858325i	$-0.328495\pi$
$258$	−992.560	+	2173.40i	−0.239512	+	0.524458i
$259$	141.938	−	2170.72i	0.0340526	−	0.520780i
$260$	175.478	−	597.623i	0.0418565	−	0.142550i
$261$	968.033	+	499.056i	0.229578	+	0.118355i
$262$	16.9399	−	177.402i	0.00399446	−	0.0418318i
$263$	1149.12	+	278.773i	0.269421	+	0.0653608i	0.368193	−	0.929749i	$-0.379976\pi$
$263$	1149.12	+	278.773i	0.269421	+	0.0653608i	−0.0987725	+	0.995110i	$0.531492\pi$
$264$	3238.16	+	624.104i	0.754905	+	0.145496i
$265$	−197.381	−	171.032i	−0.0457548	−	0.0396467i
$266$	116.586	−	79.9497i	0.0268735	−	0.0184287i
$267$	4766.25	−	2176.68i	1.09247	−	0.498915i
$268$	2038.98	−	3955.07i	0.464741	−	0.901471i
$269$	−672.596	−	705.399i	−0.152450	−	0.159884i	0.643081	−	0.765799i	$-0.277656\pi$
$269$	−672.596	−	705.399i	−0.152450	−	0.159884i	−0.795530	+	0.605914i	$0.792808\pi$
$270$	−41.1213	+	102.716i	−0.00926875	+	0.0231522i
$271$	24.3382	+	254.882i	0.00545551	+	0.0571327i	0.997790	−	0.0664506i	$-0.0211675\pi$
$271$	24.3382	+	254.882i	0.00545551	+	0.0571327i	−0.992334	+	0.123583i	$0.960561\pi$
$272$	263.567	−	1833.15i	0.0587539	−	0.408643i
$273$	12665.4	+	3310.95i	2.80787	+	0.734022i
$274$	620.478	−	537.648i	0.136805	−	0.118542i
$275$	−3563.73	+	2057.52i	−0.781457	+	0.451175i
$276$	5161.20	−	4577.72i	1.12561	−	0.998357i
$277$	3364.26	−	5827.07i	0.729743	−	1.26395i	−0.227249	−	0.973837i	$-0.572973\pi$
$277$	3364.26	−	5827.07i	0.729743	−	1.26395i	0.956992	−	0.290115i	$-0.0936935\pi$
$278$	392.291	+	135.773i	0.0846333	+	0.0292919i
$279$	−4477.99	+	6967.90i	−0.960898	+	1.49519i
$280$	205.348	+	75.1661i	0.0438282	+	0.0160430i
$281$	−4991.26	−	2279.43i	−1.05962	−	0.483913i	−0.192132	−	0.981369i	$-0.561540\pi$
$281$	−4991.26	−	2279.43i	−1.05962	−	0.483913i	−0.867489	+	0.497456i	$0.834268\pi$
$282$	2560.21	−	2013.37i	0.540633	−	0.425158i
$283$	−5392.40	+	5141.64i	−1.13267	+	1.08000i	−0.136670	+	0.990617i	$0.543640\pi$
$283$	−5392.40	+	5141.64i	−1.13267	+	1.08000i	−0.995998	+	0.0893800i	$0.971511\pi$
$284$	−361.085	−	7580.11i	−0.0754453	−	1.58379i
$285$	68.7552	+	48.9603i	0.0142902	+	0.0101760i
$286$	−2039.75	+	598.925i	−0.421724	+	0.123829i
$287$	537.639	+	4275.06i	0.110578	+	0.879265i
$288$	−3835.31	+	4426.18i	−0.784714	+	0.905608i
$289$	−2575.43	−	2455.66i	−0.524206	−	0.499830i
$290$	−18.8174	−	1.79685i	−0.00381034	−	0.000363843i
$291$	7310.64	−	348.249i	1.47271	−	0.0701536i
$292$	1156.00	−	280.443i	0.231678	−	0.0562044i
$293$	−252.275	−	1754.61i	−0.0503006	−	0.349849i	−0.999393	−	0.0348494i	$-0.988905\pi$
$293$	−252.275	−	1754.61i	−0.0503006	−	0.349849i	0.949092	−	0.314999i	$-0.102004\pi$
$294$	−697.565	+	2098.02i	−0.138377	+	0.416187i
$295$	566.150	+	81.4001i	0.111737	+	0.0160654i
$296$	−1382.36	−	65.8499i	−0.271446	−	0.0129306i
$297$	−4707.43	+	907.284i	−0.919707	+	0.177259i
$298$	2145.85	+	1238.91i	0.417133	+	0.240832i
$299$	−3336.51	+	8621.73i	−0.645337	+	1.66758i
$300$		−	7755.13i		−	1.49248i
$301$	−6863.88	−	121.468i	−1.31438	−	0.0232601i
$302$	−96.1740	−	61.8073i	−0.0183251	−	0.0117769i
$303$	−11476.5	+	4594.51i	−2.17594	+	0.871114i
$304$	291.514	+	409.374i	0.0549983	+	0.0772343i
$305$	−619.914	−	248.176i	−0.116381	−	0.0465919i
$306$	−292.640	−	1206.28i	−0.0546704	−	0.225354i
$307$	1338.23	+	2082.33i	0.248785	+	0.387117i	0.943076	−	0.332578i	$-0.107918\pi$
$307$	1338.23	+	2082.33i	0.248785	+	0.387117i	−0.694291	+	0.719694i	$0.744282\pi$
$308$	996.047	+	4447.84i	0.184270	+	0.822855i
$309$	2767.78	+	9426.19i	0.509558	+	1.73540i
$310$	27.2067	−	141.162i	0.00498464	−	0.0258628i
$311$	7654.94	−	2649.40i	1.39573	−	0.483067i	0.477331	−	0.878723i	$-0.341604\pi$
$311$	7654.94	−	2649.40i	1.39573	−	0.483067i	0.918399	+	0.395657i	$0.129483\pi$
$312$	1963.48	−	8093.56i	0.356282	−	1.46861i
$313$	−4924.47	+	6915.45i	−0.889289	+	1.24883i	0.0784605	+	0.996917i	$0.475000\pi$
$313$	−4924.47	+	6915.45i	−0.889289	+	1.24883i	−0.967750	+	0.251914i	$0.918940\pi$
$314$	−1817.24	+	1167.87i	−0.326602	+	0.209894i
$315$	−818.632	+	24.4886i	−0.146428	+	0.00438024i
$316$	−5736.55	+	824.791i	−1.02122	+	0.146829i
$317$	9576.23	−	914.419i	1.69670	−	0.162015i	0.798618	−	0.601838i	$-0.205565\pi$
$317$	9576.23	−	914.419i	1.69670	−	0.162015i	0.898084	+	0.439823i	$0.144959\pi$
$318$	−1320.52	−	1038.47i	−0.232865	−	0.183127i
$319$	−375.317	−	728.013i	−0.0658737	−	0.127777i
$320$	−98.7004	+	285.176i	−0.0172423	+	0.0498182i
$321$	9606.85			1.67041
$322$	−1416.25	−	657.312i	−0.245107	−	0.113759i
$323$	−367.553			−0.0633164
$324$	65.1177	−	188.145i	0.0111656	−	0.0322608i
$325$	4762.04	+	9237.08i	0.812771	+	1.57656i
$326$	693.625	+	545.473i	0.117842	+	0.0926717i
$327$	3489.57	−	333.214i	0.590134	−	0.0563510i
$328$	2713.25	−	390.106i	0.456750	−	0.0656708i
$329$	8240.62	+	4434.63i	1.38091	+	0.743127i
$330$	180.342	−	115.898i	0.0300833	−	0.0193333i
$331$	−3321.73	+	4664.72i	−0.551598	+	0.774611i	−0.992408	−	0.122990i	$-0.960752\pi$
$331$	−3321.73	+	4664.72i	−0.551598	+	0.774611i	0.440810	+	0.897600i	$0.354691\pi$
$332$	−2055.37	+	8472.34i	−0.339768	+	1.40054i
$333$	4898.16	−	1695.27i	0.806059	−	0.278980i
$334$	−52.8942	+	274.441i	−0.00866540	+	0.0449604i
$335$	−169.405	−	576.941i	−0.0276287	−	0.0940946i
$336$	−7501.26	−	2347.51i	−1.21794	−	0.381153i
$337$	−5261.13	−	8186.48i	−0.850422	−	1.32328i	−0.944767	−	0.327742i	$-0.893712\pi$
$337$	−5261.13	−	8186.48i	−0.850422	−	1.32328i	0.0943454	−	0.995540i	$-0.469924\pi$
$338$	869.859	+	3585.61i	0.139983	+	0.577016i
$339$	6569.84	+	2630.17i	1.05258	+	0.421389i
$340$	−158.648	−	222.790i	−0.0253056	−	0.0355368i
$341$	5782.87	−	2315.11i	0.918358	−	0.367655i
$342$	283.362	+	182.106i	0.0448025	+	0.0287928i
$343$	−6326.90	+	569.147i	−0.995978	+	0.0895950i
$344$			4367.38i			0.684515i
$345$	77.8829	−	928.989i	0.0121538	−	0.144971i
$346$	801.912	+	462.984i	0.124598	+	0.0719369i
$347$	−5710.11	+	1100.53i	−0.883386	+	0.170259i	−0.610717	−	0.791849i	$-0.709119\pi$
$347$	−5710.11	+	1100.53i	−0.883386	+	0.170259i	−0.272669	+	0.962108i	$0.587906\pi$
$348$	1541.85	+	73.4472i	0.237505	+	0.0113137i
$349$	6353.15	+	913.445i	0.974431	+	0.140102i	0.611096	−	0.791557i	$-0.290729\pi$
$349$	6353.15	+	913.445i	0.974431	+	0.140102i	0.363335	+	0.931659i	$0.381638\pi$
$350$	−1609.20	+	700.756i	−0.245758	+	0.107020i
$351$	1723.04	+	11984.0i	0.262019	+	1.82238i
$352$	4280.38	−	1038.41i	0.648139	−	0.157237i
$353$	9863.71	−	469.867i	1.48723	−	0.0708455i	0.711847	−	0.702335i	$-0.247859\pi$
$353$	9863.71	−	469.867i	1.48723	−	0.0708455i	0.775384	+	0.631489i	$0.217556\pi$
$354$	3662.43	+	349.720i	0.549876	+	0.0525067i
$355$	−742.171	−	707.659i	−0.110959	−	0.105799i
$356$	3017.17	−	3482.00i	0.449185	−	0.518387i
$357$	4580.79	−	3472.97i	0.679107	−	0.514872i
$358$	−178.038	+	52.2767i	−0.0262838	+	0.00771762i
$359$	−4928.51	−	3509.57i	−0.724559	−	0.515956i	0.157252	−	0.987558i	$-0.449736\pi$
$359$	−4928.51	−	3509.57i	−0.724559	−	0.515956i	−0.881811	+	0.471602i	$0.843676\pi$
$360$	24.7918	+	520.444i	0.00362956	+	0.0761939i
$361$	−4891.91	+	4664.42i	−0.713210	+	0.680044i
$362$	−648.036	+	509.622i	−0.0940885	+	0.0739920i
$363$	−1761.63	−	804.509i	−0.254715	−	0.116324i
$364$	11339.8	−	1978.14i	1.63288	−	0.284843i
$365$	86.9046	−	135.226i	0.0124624	−	0.0193919i
$366$	−4058.91	−	1404.80i	−0.579679	−	0.200629i
$367$	−1677.35	+	2905.25i	−0.238574	+	0.413222i	−0.960305	−	0.278951i	$-0.910013\pi$
$367$	−1677.35	+	2905.25i	−0.238574	+	0.413222i	0.721731	+	0.692173i	$0.243347\pi$
$368$	2247.32	−	5075.39i	0.318342	−	0.718949i
$369$	−8891.02	+	5133.23i	−1.25433	+	0.724188i
$370$	−67.9895	+	58.9132i	−0.00955299	+	0.00827771i
$371$	1220.77	−	4669.84i	0.170834	−	0.653493i
$372$	−1670.66	+	11619.7i	−0.232849	+	1.61950i
$373$	824.550	+	8635.08i	0.114460	+	1.19868i	0.852061	+	0.523442i	$0.175352\pi$
$373$	824.550	+	8635.08i	0.114460	+	1.19868i	−0.737601	+	0.675237i	$0.764041\pi$
$374$	−346.947	+	866.632i	−0.0479685	+	0.119820i
$375$	−1452.21	−	1523.04i	−0.199979	−	0.209732i
$376$	2728.04	−	5291.65i	0.374170	−	0.725788i
$377$	−1881.58	+	859.290i	−0.257046	+	0.117389i
$378$	−2038.64	+	158.322i	−0.277398	+	0.0215429i
$379$	−6142.79	−	5322.75i	−0.832543	−	0.721403i	0.130297	−	0.991475i	$-0.458407\pi$
$379$	−6142.79	−	5322.75i	−0.832543	−	0.721403i	−0.962840	+	0.270072i	$0.912952\pi$
$380$	72.8775	+	14.0460i	0.00983825	+	0.00189617i
$381$	38.0852	+	9.23936i	0.00512116	+	0.00124238i
$382$	−112.719	+	1180.45i	−0.0150974	+	0.158107i
$383$	−8208.10	−	4231.57i	−1.09508	−	0.564551i	−0.186578	−	0.982440i	$-0.559740\pi$
$383$	−8208.10	−	4231.57i	−1.09508	−	0.564551i	−0.908498	+	0.417889i	$0.862770\pi$
$384$	−3069.66	+	10454.3i	−0.407938	+	1.38931i
$385$	512.181	+	342.113i	0.0678004	+	0.0452876i
$386$	393.250	−	861.097i	0.0518546	−	0.113546i
$387$	−6079.35	−	15185.5i	−0.798530	−	1.99463i
$388$	5720.16	−	2948.95i	0.748447	−	0.385851i
$389$	−1720.70	−	8927.86i	−0.224275	−	1.16365i	−0.903126	−	0.429375i	$-0.858734\pi$
$389$	−1720.70	−	8927.86i	−0.224275	−	1.16365i	0.678851	−	0.734276i	$-0.262478\pi$
$390$	−270.694	−	468.856i	−0.0351465	−	0.0608754i
$391$	2070.27	+	3491.97i	0.267770	+	0.451654i
$392$	433.245	+	4018.04i	0.0558219	+	0.517708i
$393$	1287.77	+	1486.16i	0.165291	+	0.190756i
$394$	47.3185	−	993.337i	0.00605043	−	0.127014i
$395$	−484.118	+	615.606i	−0.0616674	+	0.0784165i
$396$	−8846.62	+	6299.65i	−1.12262	+	0.799417i
$397$	−4283.19	−	5446.52i	−0.541479	−	0.688546i	0.435912	−	0.899989i	$-0.356426\pi$
$397$	−4283.19	−	5446.52i	−0.541479	−	0.688546i	−0.977390	+	0.211443i	$0.932184\pi$
$398$	1968.87	+	578.114i	0.247967	+	0.0728096i
$399$	−249.285	+	1539.87i	−0.0312779	+	0.193208i
$400$	−2592.05	−	5675.80i	−0.324006	−	0.709475i
$401$	7603.98	−	7974.82i	0.946944	−	0.993126i	−0.0530412	−	0.998592i	$-0.516891\pi$
$401$	7603.98	−	7974.82i	0.946944	−	0.993126i	0.999985	+	0.00546624i	$0.00173997\pi$
$402$	−1265.01	−	3655.00i	−0.156948	−	0.453470i
$403$	−5145.19	−	14866.0i	−0.635980	−	1.83754i
$404$	−7501.16	+	7866.99i	−0.923754	+	0.968805i
$405$	−11.1764	−	24.4728i	−0.00137125	−	0.00300263i
$406$	−124.081	−	326.572i	−0.0151676	−	0.0399199i
$407$	−3740.17	−	1098.21i	−0.455512	−	0.133751i
$408$	−2260.67	−	2874.68i	−0.274313	−	0.348818i
$409$	−5554.93	+	3955.65i	−0.671574	+	0.478226i	−0.864267	−	0.503033i	$-0.832217\pi$
$409$	−5554.93	+	3955.65i	−0.671574	+	0.478226i	0.192693	+	0.981259i	$0.438278\pi$
$410$	110.150	−	140.067i	0.0132681	−	0.0168717i
$411$	−431.072	+	9049.31i	−0.0517353	+	1.08606i
$412$	5656.96	+	6528.48i	0.676452	+	0.780668i
$413$	3280.04	+	10048.9i	0.390800	+	1.19728i
$414$	134.051	−	3717.83i	0.0159137	−	0.441356i
$415$	589.045	+	1020.26i	0.0696749	+	0.120680i
$416$	−2105.13	−	10922.4i	−0.248107	−	1.28730i
$417$	−4071.52	+	2099.02i	−0.478137	+	0.246497i
$418$	−94.1482	−	235.171i	−0.0110166	−	0.0275181i
$419$	2537.73	−	5556.85i	0.295886	−	0.647899i	−0.702050	−	0.712128i	$-0.747732\pi$
$419$	2537.73	−	5556.85i	0.295886	−	0.647899i	0.997935	+	0.0642291i	$0.0204588\pi$
$420$	−1040.99	+	513.559i	−0.120940	+	0.0596645i
$421$	1739.17	−	5923.07i	0.201335	−	0.685683i	−0.795483	−	0.605975i	$-0.792783\pi$
$421$	1739.17	−	5923.07i	0.201335	−	0.685683i	0.996818	−	0.0797080i	$-0.0253988\pi$
$422$	1587.76	+	818.549i	0.183154	+	0.0944227i
$423$	−2119.52	+	22196.6i	−0.243628	+	2.55139i
$424$	−2984.15	−	723.948i	−0.341800	−	0.0829199i
$425$	4480.97	+	863.637i	0.511433	+	0.0985707i
$426$	−4985.04	−	4319.56i	−0.566962	−	0.491276i
$427$	−955.509	−	12303.7i	−0.108291	−	1.39442i
$428$	7683.98	−	3509.16i	0.867802	−	0.396312i
$429$	10749.2	−	20850.5i	1.20973	−	2.34655i
$430$	195.916	+	205.471i	0.0219719	+	0.0230435i
$431$	−5983.49	+	14946.0i	−0.668711	+	1.67036i	0.0710360	+	0.997474i	$0.477369\pi$
$431$	−5983.49	+	14946.0i	−0.668711	+	1.67036i	−0.739747	+	0.672885i	$0.765055\pi$
$432$	−690.990	−	7236.38i	−0.0769567	−	0.805927i
$433$	895.815	−	6230.53i	0.0994230	−	0.691502i	−0.877760	−	0.479101i	$-0.840963\pi$
$433$	895.815	−	6230.53i	0.0994230	−	0.691502i	0.977183	−	0.212401i	$-0.0681282\pi$
$434$	2562.07	−	703.297i	0.283372	−	0.0777865i
$435$	157.641	−	136.597i	0.0173754	−	0.0150559i
$436$	2669.40	−	1541.18i	0.293213	−	0.169287i
$437$	−1060.50	−	298.120i	−0.116088	−	0.0326339i
$438$	516.975	−	895.427i	0.0563973	−	0.0976830i
$439$	13543.5	+	4687.44i	1.47242	+	0.509611i	0.941267	−	0.337663i	$-0.109636\pi$
$439$	13543.5	+	4687.44i	1.47242	+	0.509611i	0.531157	+	0.847274i	$0.321757\pi$
$440$	211.848	−	329.641i	0.0229533	−	0.0357160i
$441$	−7099.48	−	13367.8i	−0.766600	−	1.44345i
$442$	2144.47	+	979.347i	0.230774	+	0.105391i
$443$	−10010.5	+	7872.33i	−1.07362	+	0.844301i	−0.988371	−	0.152059i	$-0.951410\pi$
$443$	−10010.5	+	7872.33i	−1.07362	+	0.844301i	−0.0852452	+	0.996360i	$0.527167\pi$
$444$	5316.73	−	5069.49i	0.568290	−	0.541864i
$445$	−29.6244	−	621.893i	−0.00315580	−	0.0662485i
$446$	−1640.42	−	1168.14i	−0.174161	−	0.124020i
$447$	−26234.3	+	7703.08i	−2.77592	+	0.815085i
$448$	−5533.53	+	695.906i	−0.583560	+	0.0733894i
$449$	629.375	−	726.338i	0.0661516	−	0.0763430i	−0.721709	−	0.692196i	$-0.756643\pi$
$449$	629.375	−	726.338i	0.0661516	−	0.0763430i	0.787861	+	0.615853i	$0.211189\pi$
$450$	−3026.68	−	2885.93i	−0.317064	−	0.302320i
$451$	7685.97	+	733.921i	0.802479	+	0.0766275i
$452$	6215.58	−	296.085i	0.646806	−	0.0308112i
$453$	1225.95	−	297.412i	0.127152	−	0.0308468i
$454$	394.481	+	2743.68i	0.0407796	+	0.283628i
$455$	924.560	−	1250.91i	0.0952616	−	0.128887i
$456$	982.296	+	141.233i	0.100878	+	0.0145040i
$457$	9335.46	+	444.703i	0.955568	+	0.0455193i	0.519570	−	0.854428i	$-0.326092\pi$
$457$	9335.46	+	444.703i	0.955568	+	0.0455193i	0.435998	+	0.899947i	$0.356395\pi$
$458$	−3532.23	+	680.781i	−0.360371	+	0.0694559i
$459$	4604.20	+	2658.23i	0.468204	+	0.270317i
$460$	−277.044	−	771.495i	−0.0280809	−	0.0781981i
$461$		−	16857.6i		−	1.70312i	−0.524257	−	0.851560i	$-0.675657\pi$
$461$		−	16857.6i		−	1.70312i	0.524257	−	0.851560i	$-0.324343\pi$
$462$	3395.47	+	2041.32i	0.341930	+	0.205565i
$463$	7362.17	+	4731.38i	0.738983	+	0.474915i	0.855193	−	0.518309i	$-0.173438\pi$
$463$	7362.17	+	4731.38i	0.738983	+	0.474915i	−0.116211	+	0.993225i	$0.537075\pi$
$464$	1152.99	−	461.588i	0.115358	−	0.0461825i
$465$	920.168	+	1292.19i	0.0917672	+	0.128869i
$466$	1691.54	+	677.189i	0.168152	+	0.0673179i
$467$	−1466.14	−	6043.51i	−0.145278	−	0.598844i	−0.997174	−	0.0751326i	$-0.976062\pi$
$467$	−1466.14	−	6043.51i	−0.145278	−	0.598844i	0.851895	−	0.523712i	$-0.175453\pi$
$468$	14828.4	+	23073.4i	1.46462	+	2.27899i
$469$	8177.05	−	7525.12i	0.805077	−	0.740891i
$470$	−109.033	−	371.332i	−0.0107007	−	0.0364431i
$471$	4511.11	−	23405.9i	0.441319	−	2.28978i
$472$	6355.04	−	2199.50i	0.619734	−	0.214492i
$473$	−2900.19	+	11954.7i	−0.281925	+	1.16211i
$474$	−2922.05	+	4103.44i	−0.283152	+	0.397631i
$475$	−1041.76	+	669.499i	−0.100630	+	0.0646710i
$476$	2395.32	−	4451.09i	0.230650	−	0.428604i
$477$	11383.7	−	1636.73i	1.09271	−	0.157109i
$478$	−1.58054	+	0.150923i	−0.000151239	+	1.44415e-5i
$479$	2542.29	+	1999.28i	0.242506	+	0.190708i	0.732013	−	0.681291i	$-0.238581\pi$
$479$	2542.29	+	1999.28i	0.242506	+	0.190708i	−0.489507	+	0.871999i	$0.662823\pi$
$480$	513.988	+	996.998i	0.0488755	+	0.0948052i
$481$	−3219.79	+	9302.97i	−0.305218	+	0.881869i
$482$	−2083.09			−0.196851
$483$	16033.8	−	6305.12i	1.51049	−	0.593981i
$484$	−1702.90			−0.159926
$485$	284.435	−	821.820i	0.0266299	−	0.0769421i
$486$	1286.68	+	2495.81i	0.120093	+	0.232947i
$487$	−956.398	−	752.120i	−0.0889908	−	0.0699832i	0.572672	−	0.819784i	$-0.305907\pi$
$487$	−956.398	−	752.120i	−0.0889908	−	0.0699832i	−0.661663	+	0.749801i	$0.730149\pi$
$488$	−7815.41	+	746.281i	−0.724974	+	0.0692266i
$489$	−9638.05	+	1385.74i	−0.891304	+	0.128150i
$490$	200.628	+	169.601i	0.0184968	+	0.0156363i
$491$	18233.7	−	11718.1i	1.67591	−	1.07704i	0.790139	−	0.612928i	$-0.210008\pi$
$491$	18233.7	−	11718.1i	1.67591	−	1.07704i	0.885774	−	0.464116i	$-0.153628\pi$
$492$	−8440.26	+	11852.7i	−0.773407	+	1.08610i
$493$	−214.143	+	882.711i	−0.0195630	+	0.0806396i
$494$	−604.554	+	209.238i	−0.0550611	+	0.0190568i
$495$	−277.742	+	1441.06i	−0.0252193	+	0.130850i
$496$	2661.02	+	9062.61i	0.240894	+	0.820410i
$497$	5660.30	−	18086.9i	0.510863	−	1.63241i
$498$	4096.88	+	6374.87i	0.368646	+	0.573624i
$499$	3639.43	+	15002.0i	0.326500	+	1.34585i	0.864384	+	0.502832i	$0.167709\pi$
$499$	3639.43	+	15002.0i	0.326500	+	1.34585i	−0.537884	+	0.843019i	$0.680776\pi$
$500$	−1717.87	−	687.733i	−0.153651	−	0.0615127i
$501$	−1788.95	−	2512.23i	−0.159530	−	0.224029i
$502$	−564.309	+	225.915i	−0.0501720	+	0.0200858i
$503$	5804.67	+	3730.44i	0.514548	+	0.330680i	0.772012	−	0.635608i	$-0.219251\pi$
$503$	5804.67	+	3730.44i	0.514548	+	0.330680i	−0.257464	+	0.966288i	$0.582887\pi$
$504$	−8423.11	+	4666.34i	−0.744434	+	0.412412i
$505$			1468.88i			0.129434i
$506$	−1703.97	+	2219.09i	−0.149705	+	0.194961i
$507$	−35259.0	−	20356.8i	−3.08858	−	1.78319i
$508$	33.8371	−	6.52157i	0.00295527	−	0.000569582i
$509$	−21028.2	−	1001.70i	−1.83116	−	0.0872289i	−0.896559	−	0.442925i	$-0.853941\pi$
$509$	−21028.2	−	1001.70i	−1.83116	−	0.0872289i	−0.934602	+	0.355696i	$0.884244\pi$
$510$	−235.312	−	33.8328i	−0.0204310	−	0.00293753i
$511$	2951.81	+	334.667i	0.255539	+	0.0289722i
$512$	1625.50	+	11305.6i	0.140308	+	0.975864i
$513$	−1402.02	+	340.126i	−0.120664	+	0.0292728i
$514$	−3813.05	+	181.638i	−0.327211	+	0.0155870i
$515$	1162.04	+	110.961i	0.0994282	+	0.00949424i
$516$	−16778.5	−	15998.2i	−1.43145	−	1.36489i
$517$	10981.4	−	12673.2i	0.934157	−	1.07807i
$518$	−1532.35	−	645.147i	−0.129976	−	0.0547223i
$519$	−9803.85	+	2878.67i	−0.829174	+	0.243467i
$520$	−806.095	−	574.017i	−0.0679800	−	0.0484083i
$521$	481.343	+	10104.6i	0.0404761	+	0.849697i	0.924251	+	0.381785i	$0.124691\pi$
$521$	481.343	+	10104.6i	0.0404761	+	0.849697i	−0.883775	+	0.467912i	$0.845006\pi$
$522$	602.435	−	574.421i	0.0505132	−	0.0481642i
$523$	5280.27	−	4152.45i	0.441472	−	0.347178i	−0.372549	−	0.928012i	$-0.621516\pi$
$523$	5280.27	−	4152.45i	0.441472	−	0.347178i	0.814021	+	0.580835i	$0.197274\pi$
$524$	1572.87	+	718.308i	0.131129	+	0.0598844i
$525$	6657.36	−	18187.4i	0.553431	−	1.51193i
$526$	488.600	−	760.277i	0.0405019	−	0.0630222i
$527$	−6527.92	−	2259.33i	−0.539584	−	0.186752i
$528$	−7042.27	+	12197.6i	−0.580446	+	1.00536i
$529$	3141.04	+	11754.6i	0.258161	+	0.966102i
$530$	−172.870	+	99.8067i	−0.0141679	+	0.00817986i
$531$	−19035.0	+	16493.9i	−1.55564	+	1.34797i
$532$	363.090	+	1322.72i	0.0295902	+	0.107795i
$533$	2774.98	−	19300.4i	0.225511	−	1.56847i
$534$	−380.674	−	3986.60i	−0.0308490	−	0.323066i
$535$	424.255	−	1059.74i	0.0342844	−	0.0856382i
$536$	−4878.66	−	5116.59i	−0.393145	−	0.412319i
$537$	938.232	−	1819.92i	0.0753961	−	0.146248i
$538$	−677.616	+	309.457i	−0.0543013	+	0.0247986i
$539$	−1482.29	+	11286.2i	−0.118454	+	0.901912i
$540$	−811.324	−	703.017i	−0.0646553	−	0.0560241i
$541$	2510.24	+	483.809i	0.199489	+	0.0384484i	0.288017	−	0.957625i	$-0.407004\pi$
$541$	2510.24	+	483.809i	0.199489	+	0.0384484i	−0.0885278	+	0.996074i	$0.528216\pi$
$542$	190.175	+	46.1360i	0.0150715	+	0.00365630i
$543$	864.742	−	9055.98i	0.0683418	−	0.715708i
$544$	−4341.50	−	2238.20i	−0.342170	−	0.176401i
$545$	117.348	−	399.652i	0.00922322	−	0.0314114i
$546$	5557.45	−	8320.10i	0.435599	−	0.652138i
$547$	1308.29	−	2864.77i	0.102264	−	0.223928i	−0.851583	−	0.524220i	$-0.824357\pi$
$547$	1308.29	−	2864.77i	0.102264	−	0.223928i	0.953847	+	0.300292i	$0.0970842\pi$
$548$	2960.71	+	7395.50i	0.230794	+	0.576496i
$549$	26135.6	−	13473.8i	2.03177	−	1.04745i
$550$	595.216	+	3088.28i	0.0461456	+	0.239426i
$551$	−123.241	−	213.460i	−0.00952857	−	0.0165040i
$552$	−4191.07	−	10127.9i	−0.323159	−	0.780928i
$553$	−14161.5	−	2990.21i	−1.08898	−	0.229939i
$554$	−3367.68	−	3886.51i	−0.258265	−	0.298054i
$555$	47.2351	−	991.587i	0.00361264	−	0.0758388i
$556$	−2489.86	+	3166.12i	−0.189917	+	0.241499i
$557$	4010.36	−	2855.77i	0.305071	−	0.217240i	−0.417261	−	0.908787i	$-0.637010\pi$
$557$	4010.36	−	2855.77i	0.305071	−	0.217240i	0.722332	+	0.691547i	$0.243070\pi$
$558$	3913.25	+	4976.10i	0.296884	+	0.377518i
$559$	29808.4	+	8752.54i	2.25539	+	0.662242i
$560$	−590.224	+	723.798i	−0.0445384	+	0.0546179i
$561$	−4279.13	−	9370.00i	−0.322041	−	0.705172i
$562$	−2894.05	+	3035.19i	−0.217221	+	0.227815i
$563$	−3114.41	−	8998.49i	−0.233138	−	0.673608i	−0.999513	−	0.0312142i	$-0.990063\pi$
$563$	−3114.41	−	8998.49i	−0.233138	−	0.673608i	0.766375	−	0.642394i	$-0.222059\pi$
$564$	10336.2	+	29864.5i	0.771688	+	2.22965i
$565$	580.270	−	608.569i	0.0432073	−	0.0453145i
$566$	2365.64	+	5180.02i	0.175680	+	0.384686i
$567$	314.227	−	385.340i	0.0232739	−	0.0285410i
$568$	−11568.5	−	3396.83i	−0.854587	−	0.250929i
$569$	8223.75	+	10457.4i	0.605901	+	0.770466i	0.988133	−	0.153601i	$-0.0490869\pi$
$569$	8223.75	+	10457.4i	0.605901	+	0.770466i	−0.382232	+	0.924066i	$0.624844\pi$
$570$	52.5494	−	37.4203i	0.00386150	−	0.00274976i
$571$	−9934.47	+	12632.7i	−0.728099	+	0.925853i	−0.999328	−	0.0366615i	$-0.988328\pi$
$571$	−9934.47	+	12632.7i	−0.728099	+	0.925853i	0.271229	+	0.962515i	$0.412570\pi$
$572$	981.468	−	20603.5i	0.0717434	−	1.50608i
$573$	−8568.91	−	9889.05i	−0.624732	−	0.720979i
$574$	3222.11	+	680.352i	0.234300	+	0.0494727i
$575$	12228.5	+	6126.34i	0.886890	+	0.444323i
$576$	−6644.32	−	11508.3i	−0.480637	−	0.832487i
$577$	616.820	+	3200.36i	0.0445035	+	0.230906i	0.997369	−	0.0724854i	$-0.0230931\pi$
$577$	616.820	+	3200.36i	0.0445035	+	0.230906i	−0.952866	+	0.303392i	$0.901881\pi$
$578$	−2417.43	+	1246.27i	−0.173965	+	0.0896852i
$579$	3882.34	+	9697.62i	0.278661	+	0.696061i
$580$	76.1925	−	166.838i	0.00545469	−	0.0119441i
$581$	−12093.3	+	18105.0i	−0.863538	+	1.29281i
$582$	1575.97	−	5367.25i	0.112244	−	0.382267i
$583$	−7687.72	−	3963.29i	−0.546128	−	0.281549i
$584$	179.649	−	1881.37i	0.0127293	−	0.133308i
$585$	3601.84	+	873.797i	0.254560	+	0.0617557i
$586$	−1330.35	−	256.405i	−0.0937822	−	0.0180750i
$587$	−5081.95	−	4403.53i	−0.357333	−	0.309631i	0.457631	−	0.889142i	$-0.348698\pi$
$587$	−5081.95	−	4403.53i	−0.357333	−	0.309631i	−0.814964	+	0.579511i	$0.803243\pi$
$588$	−17023.4	−	13054.1i	−1.19393	−	0.915550i
$589$	1705.13	−	778.705i	0.119284	−	0.0544754i
$590$	200.317	−	388.560i	0.0139778	−	0.0271132i
$591$	7572.63	+	7941.95i	0.527067	+	0.552772i
$592$	2196.78	−	5487.29i	0.152512	−	0.380956i
$593$	343.131	+	3593.43i	0.0237617	+	0.248844i	0.999547	+	0.0301114i	$0.00958620\pi$
$593$	343.131	+	3593.43i	0.0237617	+	0.248844i	−0.975785	+	0.218733i	$0.929808\pi$
$594$	−521.455	+	3626.80i	−0.0360195	+	0.250521i
$595$	−180.810	−	658.681i	−0.0124580	−	0.0453837i
$596$	−18169.6	+	15744.0i	−1.24875	+	1.08205i
$597$	−19609.5	+	11321.5i	−1.34433	+	0.776147i
$598$	5393.09	+	4565.07i	0.368796	+	0.312173i
$599$	−4725.09	+	8184.10i	−0.322307	+	0.558253i	−0.980964	−	0.194191i	$-0.937792\pi$
$599$	−4725.09	+	8184.10i	−0.322307	+	0.558253i	0.658656	+	0.752444i	$0.271125\pi$
$600$	−11643.7	−	4029.92i	−0.792252	−	0.274201i
$601$	−9631.90	+	14987.5i	−0.653733	+	1.01723i	0.343222	+	0.939254i	$0.388482\pi$
$601$	−9631.90	+	14987.5i	−0.653733	+	1.01723i	−0.996955	+	0.0779743i	$0.975155\pi$
$602$	−1803.55	+	4927.16i	−0.122105	+	0.333581i
$603$	24085.5	+	10999.5i	1.62660	+	0.742841i
$604$	871.929	−	685.693i	0.0587389	−	0.0461928i
$605$	−166.542	+	158.798i	−0.0111916	+	0.0106711i
$606$	449.567	+	9437.57i	0.0301360	+	0.632632i
$607$	21446.9	+	15272.3i	1.43411	+	1.02122i	0.992266	+	0.124133i	$0.0396150\pi$
$607$	21446.9	+	15272.3i	1.43411	+	1.02122i	0.441844	+	0.897092i	$0.354324\pi$
$608$	1271.77	−	373.426i	0.0848309	−	0.0249086i
$609$	3552.91	+	1495.84i	0.236406	+	0.0995313i
$610$	−334.212	+	385.702i	−0.0221834	+	0.0256010i
$611$	−30649.6	−	29224.4i	−2.02938	−	1.93501i
$612$	11989.3	+	1144.84i	0.791893	+	0.0756166i
$613$	−1514.13	+	72.1270i	−0.0997638	+	0.00475234i	−0.0974044	−	0.995245i	$-0.531054\pi$
$613$	−1514.13	+	72.1270i	−0.0997638	+	0.00475234i	−0.00235935	+	0.999997i	$0.500751\pi$
$614$	1838.51	−	446.019i	0.120841	−	0.0293157i
$615$	279.829	+	1946.25i	0.0183476	+	0.127611i
$616$	7195.65	+	815.819i	0.470651	+	0.0533609i
$617$	−26396.6	−	3795.26i	−1.72235	−	0.247636i	−0.791012	−	0.611800i	$-0.790446\pi$
$617$	−26396.6	−	3795.26i	−1.72235	−	0.247636i	−0.931335	+	0.364164i	$0.881355\pi$
$618$	7500.06	+	357.272i	0.488182	+	0.0232550i
$619$	−10684.3	+	2059.22i	−0.693758	+	0.133711i	−0.523928	−	0.851762i	$-0.675534\pi$
$619$	−10684.3	+	2059.22i	−0.693758	+	0.133711i	−0.169830	+	0.985473i	$0.554322\pi$
$620$	1208.00	+	697.438i	0.0782490	+	0.0451771i
$621$	11128.4	+	11404.2i	0.719110	+	0.736934i
$622$		−	6191.16i		−	0.399104i
$623$	10065.0	−	5575.95i	0.647265	−	0.358581i
$624$	29923.3	+	19230.5i	1.91970	+	1.23371i
$625$	14157.1	−	5667.64i	0.906053	−	0.362729i
$626$	3763.76	+	5285.46i	0.240304	+	0.337459i
$627$	2595.03	+	1038.89i	0.165288	+	0.0661713i
$628$	−4941.43	−	20368.8i	−0.313988	−	1.29428i
$629$	2337.10	+	3636.60i	0.148150	+	0.230526i
$630$	−186.952	+	597.388i	−0.0118228	+	0.0377786i
$631$	7311.57	+	24900.9i	0.461282	+	1.57098i	0.781667	+	0.623696i	$0.214369\pi$
$631$	7311.57	+	24900.9i	0.461282	+	1.57098i	−0.320385	+	0.947287i	$0.603812\pi$
$632$	−1742.61	+	9041.54i	−0.109680	+	0.569072i
$633$	−18627.6	+	6447.06i	−1.16963	+	0.404815i
$634$	1733.39	−	7145.13i	0.108583	−	0.447586i
$635$	2.70110	−	3.79317i	0.000168803	−	0.000237051i
$636$	13712.6	−	8812.53i	0.854934	−	0.549433i
$637$	28292.3	+	5095.44i	1.75979	+	0.316936i
$638$	−619.637	+	89.0903i	−0.0384509	+	0.00552840i
$639$	44952.5	−	4292.44i	2.78293	−	0.265738i
$640$	1017.66	+	800.296i	0.0628539	+	0.0494289i
$641$	10249.5	+	19881.2i	0.631561	+	1.22506i	0.959859	+	0.280484i	$0.0904948\pi$
$641$	10249.5	+	19881.2i	0.631561	+	1.22506i	−0.328298	+	0.944574i	$0.606475\pi$
$642$	2401.49	−	6938.66i	0.147632	−	0.426553i
$643$	−9925.27			−0.608732			−0.304366	−	0.952555i	$-0.598445\pi$
$643$	−9925.27			−0.608732			−0.304366	+	0.952555i	$0.598445\pi$
$644$	10521.5	−	10899.9i	0.643795	−	0.666950i
$645$	−3132.78			−0.191245
$646$	−91.8798	+	265.469i	−0.00559592	+	0.0161683i
$647$	−7171.33	−	13910.4i	−0.435756	−	0.845249i	−0.999810	−	0.0195105i	$-0.993789\pi$
$647$	−7171.33	−	13910.4i	−0.435756	−	0.845249i	0.564054	−	0.825738i	$-0.309241\pi$
$648$	−248.646	−	195.537i	−0.0150737	−	0.0118541i
$649$	18856.1	−	1800.54i	1.14047	−	0.108902i
$650$	7861.99	−	1130.38i	0.474419	−	0.0682112i
$651$	−13893.0	+	25816.6i	−0.836419	+	1.55427i
$652$	−7202.75	+	4628.93i	−0.432640	+	0.278041i
$653$	7513.24	−	10550.9i	0.450254	−	0.632294i	−0.525596	−	0.850734i	$-0.676158\pi$
$653$	7513.24	−	10550.9i	0.450254	−	0.632294i	0.975850	+	0.218441i	$0.0700970\pi$
$654$	631.646	−	2603.68i	0.0377666	−	0.155676i
$655$	220.810	−	76.4229i	0.0131721	−	0.00455892i
$656$	−2215.63	+	11495.8i	−0.131868	+	0.684198i
$657$	1994.21	+	6791.65i	0.118419	+	0.403299i
$658$	5262.93	−	4843.33i	0.311809	−	0.286949i
$659$	1318.73	+	2051.98i	0.0779520	+	0.121296i	0.878041	−	0.478586i	$-0.158851\pi$
$659$	1318.73	+	2051.98i	0.0779520	+	0.121296i	−0.800089	+	0.599882i	$0.795214\pi$
$660$	490.383	+	2021.39i	0.0289214	+	0.119216i
$661$	26303.0	+	10530.1i	1.54776	+	0.619629i	0.979179	−	0.202999i	$-0.0650689\pi$
$661$	26303.0	+	10530.1i	1.54776	+	0.619629i	0.568580	+	0.822628i	$0.307493\pi$
$662$	2538.79	+	3565.23i	0.149053	+	0.209315i
$663$	−24150.9	+	9668.57i	−1.41470	+	0.566359i
$664$	11652.4	+	7488.57i	0.681028	+	0.437670i
$665$	158.855	+	95.5022i	0.00926338	+	0.00556905i
$666$		−	3961.54i		−	0.230490i
$667$	−1333.83	+	2373.19i	−0.0774304	+	0.137767i
$668$	−2348.54	−	1355.93i	−0.136030	−	0.0785368i
$669$	21820.3	−	4205.53i	1.26102	−	0.243042i
$670$	−459.050	−	21.8673i	−0.0264696	−	0.00126090i
$671$	−21888.5	−	3147.10i	−1.25931	−	0.181062i
$672$	−12321.5	+	16670.8i	−0.707313	+	0.956982i
$673$	1105.43	+	7688.46i	0.0633155	+	0.440369i	0.996679	+	0.0814353i	$0.0259504\pi$
$673$	1105.43	+	7688.46i	0.0633155	+	0.440369i	−0.933363	+	0.358933i	$0.883140\pi$
$674$	−7227.95	+	1753.48i	−0.413071	+	0.100210i
$675$	17891.7	−	852.288i	1.02023	−	0.0485994i
$676$	−35637.6	−	3402.98i	−2.02763	−	0.193615i
$677$	3200.61	+	3051.78i	0.181698	+	0.173249i	0.775470	−	0.631385i	$-0.217513\pi$
$677$	3200.61	+	3051.78i	0.181698	+	0.173249i	−0.593772	+	0.804634i	$0.702362\pi$
$678$	3541.98	−	4087.66i	0.200632	−	0.231542i
$679$	15946.5	−	2005.46i	0.901283	−	0.113347i
$680$	−416.942	+	122.425i	−0.0235132	+	0.00690410i
$681$	−24915.3	−	17742.1i	−1.40199	−	0.998355i
$682$	−226.531	−	4755.47i	−0.0127190	−	0.267004i
$683$	9424.83	−	8986.56i	0.528010	−	0.503457i	−0.378523	−	0.925592i	$-0.623568\pi$
$683$	9424.83	−	8986.56i	0.528010	−	0.503457i	0.906533	+	0.422135i	$0.138719\pi$
$684$	−2569.00	+	2020.29i	−0.143609	+	0.112935i
$685$	979.197	+	447.184i	0.0546178	+	0.0249431i
$686$	−1170.51	+	4711.95i	−0.0651461	+	0.262250i
$687$	21460.3	−	33392.9i	1.19179	−	1.85447i
$688$	−17627.0	−	6100.75i	−0.976776	−	0.338065i
$689$	−10921.6	+	18916.7i	−0.603889	+	1.04597i
$690$	−651.504	−	288.478i	−0.0359454	−	0.0159162i
$691$	−3658.47	+	2112.22i	−0.201411	+	0.116285i	−0.597313	−	0.802008i	$-0.703765\pi$
$691$	−3658.47	+	2112.22i	−0.201411	+	0.116285i	0.395903	+	0.918293i	$0.370432\pi$
$692$	−6790.04	+	5883.60i	−0.373004	+	0.323210i
$693$	−26155.1	+	7179.67i	−1.43369	+	0.393554i
$694$	−632.524	+	4399.30i	−0.0345970	+	0.240627i
$695$	51.7383	+	541.828i	0.00282381	+	0.0295722i
$696$	911.488	−	2276.79i	0.0496406	−	0.123996i
$697$	−5908.64	−	6196.80i	−0.321098	−	0.336758i
$698$	2247.89	−	4360.30i	0.121897	−	0.236446i
$699$	−18288.8	+	8352.22i	−0.989623	+	0.451946i
$700$	−1318.59	−	16978.9i	−0.0711971	−	0.916773i
$701$	−10100.3	−	8751.92i	−0.544196	−	0.471549i	0.338846	−	0.940842i	$-0.389963\pi$
$701$	−10100.3	−	8751.92i	−0.544196	−	0.471549i	−0.883042	+	0.469293i	$0.844509\pi$
$702$	9086.28	+	1751.24i	0.488518	+	0.0941541i
$703$	−1139.99	−	276.558i	−0.0611599	−	0.0148372i
$704$	−949.969	+	9948.52i	−0.0508570	+	0.532598i
$705$	3795.78	+	1956.86i	0.202776	+	0.104538i
$706$	2126.34	−	7241.64i	0.113351	−	0.386038i
$707$	−24345.2	+	12010.4i	−1.29504	+	0.638894i
$708$	−14829.3	+	32471.7i	−0.787175	+	1.72367i
$709$	7780.72	+	19435.3i	0.412145	+	1.02949i	0.978669	+	0.205444i	$0.0658637\pi$
$709$	7780.72	+	19435.3i	0.412145	+	1.02949i	−0.566524	+	0.824045i	$0.691712\pi$
$710$	−696.641	+	359.143i	−0.0368232	+	0.0189837i
$711$	−6526.64	−	33863.4i	−0.344259	−	1.78618i
$712$	−3660.07	−	6339.43i	−0.192650	−	0.333680i
$713$	−17002.4	−	11813.6i	−0.893053	−	0.620509i
$714$	−1363.30	−	4176.69i	−0.0714571	−	0.218920i
$715$	−1825.33	−	2106.54i	−0.0954731	−	0.110182i
$716$	85.6666	−	1798.36i	0.00447138	−	0.0938659i
$717$	10.8302	−	13.7717i	0.000564100	−	0.000717311i
$718$	−3766.85	+	2682.36i	−0.195790	+	0.139422i
$719$	561.501	+	714.007i	0.0291244	+	0.0370347i	0.800397	−	0.599470i	$-0.204622\pi$
$719$	561.501	+	714.007i	0.0291244	+	0.0370347i	−0.771273	+	0.636505i	$0.780380\pi$
$720$	−2135.17	−	626.943i	−0.110518	−	0.0324511i
$721$	7662.42	+	20166.9i	0.395789	+	1.04168i
$722$	2146.07	+	4699.24i	0.110621	+	0.242226i
$723$	15862.3	−	16635.9i	0.815939	−	0.855732i
$724$	−2616.28	−	7559.24i	−0.134300	−	0.388035i
$725$	1000.91	+	2891.95i	0.0512730	+	0.148144i
$726$	−1021.43	+	1071.25i	−0.0522162	+	0.0547627i
$727$	−1940.32	−	4248.70i	−0.0989854	−	0.216748i	0.853660	−	0.520830i	$-0.174377\pi$
$727$	−1940.32	−	4248.70i	−0.0989854	−	0.216748i	−0.952646	+	0.304082i	$0.901650\pi$
$728$	2922.65	−	18053.7i	0.148792	−	0.919113i
$729$	−30425.3	−	8933.66i	−1.54576	−	0.453877i
$730$	−75.9445	−	96.5713i	−0.00385045	−	0.00489625i
$731$	11112.4	−	7913.11i	0.562253	−	0.400379i
$732$	25761.8	−	32758.7i	1.30080	−	1.65410i
$733$	−1356.40	+	28474.3i	−0.0683488	+	1.43482i	0.660851	+	0.750517i	$0.270196\pi$
$733$	−1356.40	+	28474.3i	−0.0683488	+	1.43482i	−0.729200	+	0.684301i	$0.760107\pi$
$734$	1679.05	+	1937.73i	0.0844345	+	0.0974426i
$735$	−2882.20	+	310.773i	−0.144641	+	0.0155960i
$736$	−10711.1	−	9979.24i	−0.536437	−	0.499782i
$737$	−9956.54	−	17245.2i	−0.497631	−	0.861922i
$738$	1484.98	+	7704.83i	0.0740692	+	0.384307i
$739$	−7023.52	+	3620.87i	−0.349613	+	0.180238i	−0.624084	−	0.781357i	$-0.714528\pi$
$739$	−7023.52	+	3620.87i	−0.349613	+	0.180238i	0.274471	+	0.961595i	$0.411497\pi$
$740$	−324.423	−	810.368i	−0.0161162	−	0.0402564i
$741$	2932.54	−	6421.37i	0.145384	−	0.318347i
$742$	−3067.68	−	2049.07i	−0.151776	−	0.101380i
$743$	9024.38	−	30734.2i	0.445589	−	1.51754i	−0.364486	−	0.931209i	$-0.618755\pi$
$743$	9024.38	−	30734.2i	0.445589	−	1.51754i	0.810075	−	0.586326i	$-0.199426\pi$
$744$	16577.9	+	8546.50i	0.816902	+	0.421142i
$745$	−308.819	+	3234.10i	−0.0151869	+	0.159044i
$746$	6442.90	+	1563.03i	0.316208	+	0.0767113i
$747$	−50939.9	−	9817.86i	−2.49504	−	0.480879i
$748$	−6845.28	−	5931.47i	−0.334610	−	0.289941i
$749$	21033.0	−	1633.43i	1.02607	−	0.0796854i
$750$	−1463.05	+	668.153i	−0.0712308	+	0.0325300i
$751$	1277.55	−	2478.11i	0.0620754	−	0.120409i	−0.855756	−	0.517379i	$-0.826908\pi$
$751$	1277.55	−	2478.11i	0.0620754	−	0.120409i	0.917832	+	0.396969i	$0.129938\pi$
$752$	17546.6	+	18402.4i	0.850877	+	0.892374i
$753$	2492.90	−	6226.96i	0.120646	−	0.301358i
$754$	150.279	+	1573.80i	0.00725843	+	0.0760137i
$755$	21.3323	−	148.369i	0.00102829	−	0.00715193i
$756$	5017.92	−	19195.1i	0.241402	−	0.923439i
$757$	7274.01	−	6302.97i	0.349245	−	0.302622i	−0.462518	−	0.886610i	$-0.653054\pi$
$757$	7274.01	−	6302.97i	0.349245	−	0.302622i	0.811763	+	0.583988i	$0.198508\pi$
$758$	−5379.98	+	3106.13i	−0.257796	+	0.148839i
$759$	−4746.63	−	30506.0i	−0.226998	−	1.45889i
$760$	58.9593	−	102.120i	0.00281405	−	0.00487408i
$761$	11862.2	+	4105.56i	0.565054	+	0.195567i	0.594635	−	0.803995i	$-0.297296\pi$
$761$	11862.2	+	4105.56i	0.565054	+	0.195567i	−0.0295819	+	0.999562i	$0.509418\pi$
$762$	16.1937	−	25.1978i	0.000769862	−	0.00119793i
$763$	7583.33	−	1322.85i	0.359810	−	0.0627661i
$764$	−10466.0	−	4779.67i	−0.495612	−	0.226338i
$765$	1279.30	−	1006.06i	0.0604618	−	0.0475477i
$766$	−5108.14	+	4870.60i	−0.240946	+	0.229741i
$767$	−2276.17	−	47782.7i	−0.107155	−	2.24946i
$768$	−9766.89	−	6954.97i	−0.458896	−	0.326779i
$769$	248.702	−	73.0256i	0.0116625	−	0.00342441i	−0.275896	−	0.961187i	$-0.588975\pi$
$769$	248.702	−	73.0256i	0.0116625	−	0.00342441i	0.287559	+	0.957763i	$0.407156\pi$
$770$	375.129	−	284.408i	0.0175568	−	0.0133109i
$771$	27584.9	−	31834.7i	1.28852	−	1.48703i
$772$	6647.58	+	6338.46i	0.309911	+	0.295500i
$773$	−14469.3	−	1381.65i	−0.673251	−	0.0642877i	−0.247169	−	0.968972i	$-0.579500\pi$
$773$	−14469.3	−	1381.65i	−0.673251	−	0.0642877i	−0.426082	+	0.904685i	$0.640106\pi$
$774$	−12487.6	+	594.858i	−0.579919	+	0.0276250i
$775$	−22617.6	+	5486.96i	−1.04832	+	0.254319i
$776$	−1455.14	−	10120.8i	−0.0673153	−	0.468188i
$777$	16820.7	−	7324.91i	0.776629	−	0.338198i
$778$	−6878.39	−	988.963i	−0.316969	−	0.0455733i
$779$	2320.84	+	110.555i	0.106743	+	0.00508479i
$780$	5158.07	−	994.136i	0.236780	−	0.0456356i
$781$	−29410.6	−	16980.2i	−1.34750	−	0.777978i
$782$	3039.64	−	622.366i	0.138999	−	0.0284601i
$783$			3565.24i			0.162722i
$784$	−16822.2	−	3864.16i	−0.766318	−	0.176028i
$785$	−2382.70	−	1531.27i	−0.108334	−	0.0696219i
$786$	1395.31	−	558.599i	0.0633195	−	0.0253493i
$787$	−9379.25	−	13171.3i	−0.424821	−	0.596577i	0.545586	−	0.838055i	$-0.316307\pi$
$787$	−9379.25	−	13171.3i	−0.424821	−	0.596577i	−0.970406	+	0.241478i	$0.922368\pi$
$788$	8957.93	+	3586.21i	0.404966	+	0.162124i
$789$	2351.11	+	9691.39i	0.106086	+	0.437291i
$790$	323.610	+	503.547i	0.0145741	+	0.0226777i
$791$	14831.0	+	4641.36i	0.666663	+	0.208632i
$792$	4861.29	+	16556.0i	0.218104	+	0.742794i
$793$	−10569.1	+	54837.7i	−0.473291	+	2.45567i
$794$	−5004.51	+	1732.08i	−0.223682	+	0.0774171i
$795$	519.298	−	2140.58i	0.0231668	−	0.0954949i
$796$	−11549.0	+	16218.3i	−0.514252	+	0.722166i
$797$	−12777.1	+	8211.36i	−0.567865	+	0.364945i	−0.792849	−	0.609417i	$-0.791403\pi$
$797$	−12777.1	+	8211.36i	−0.567865	+	0.364945i	0.224984	+	0.974362i	$0.427767\pi$
$798$	1049.88	+	564.983i	0.0465730	+	0.0250629i
$799$	−18407.0	+	2646.52i	−0.815009	+	0.117181i
$800$	−16382.1	+	1564.30i	−0.723993	+	0.0691329i
$801$	21550.6	+	16947.6i	0.950629	+	0.747583i
$802$	−3859.09	−	7485.59i	−0.169912	−	0.329583i
$803$	1741.09	−	5030.54i	0.0765151	−	0.221076i
$804$	37527.9			1.64615
$805$	12.5607	−	2047.15i	0.000549947	−	0.0896303i
$806$	−12023.4			−0.525440
$807$	2688.53	−	7768.00i	0.117275	−	0.338843i
$808$	7913.69	+	15350.4i	0.344558	+	0.668348i
$809$	12899.5	+	10144.3i	0.560596	+	0.440858i	0.857820	−	0.513950i	$-0.171818\pi$
$809$	12899.5	+	10144.3i	0.560596	+	0.440858i	−0.297224	+	0.954808i	$0.596061\pi$
$810$	−20.4696	+	1.95461i	−0.000887937	+	8.47877e-5i
$811$	−1131.69	+	162.713i	−0.0490001	+	0.00704515i	−0.166771	−	0.985996i	$-0.553334\pi$
$811$	−1131.69	+	162.713i	−0.0490001	+	0.00704515i	0.117771	+	0.993041i	$0.462425\pi$
$812$	3388.17	−	101.354i	0.146430	−	0.00438031i
$813$	−1816.59	+	1167.45i	−0.0783650	+	0.0503621i
$814$	−1728.16	+	2426.86i	−0.0744126	+	0.104498i
$815$	−272.770	+	1124.37i	−0.0117236	+	0.0483253i
$816$	14760.3	−	5108.57i	0.633226	−	0.219162i
$817$	−700.590	+	3635.01i	−0.0300007	+	0.155658i
$818$	1468.41	+	5000.94i	0.0627649	+	0.213758i
$819$	14968.4	+	66841.5i	0.638632	+	2.85181i
$820$	934.740	+	1454.48i	0.0398080	+	0.0619424i
$821$	5703.42	+	23509.8i	0.242449	+	0.999390i	0.954725	+	0.297490i	$0.0961494\pi$
$821$	5703.42	+	23509.8i	0.242449	+	0.999390i	−0.712276	+	0.701900i	$0.752335\pi$
$822$	6428.21	+	2573.47i	0.272761	+	0.109197i
$823$	2476.84	+	3478.24i	0.104906	+	0.147319i	0.863692	−	0.504021i	$-0.168146\pi$
$823$	2476.84	+	3478.24i	0.104906	+	0.147319i	−0.758786	+	0.651340i	$0.774207\pi$
$824$	12741.6	−	5100.96i	0.538682	−	0.215656i
$825$	−29195.9	−	18763.1i	−1.23209	−	0.791814i
$826$	8077.89	+	142.952i	0.340273	+	0.00602170i
$827$		−	10815.3i		−	0.454759i	−0.973806	−	0.227379i	$-0.926984\pi$
$827$		−	10815.3i		−	0.454759i	0.973806	−	0.227379i	$-0.0730157\pi$
$828$	33664.1	+	13027.6i	1.41293	+	0.546789i
$829$	11319.5	+	6535.32i	0.474237	+	0.273801i	0.718012	−	0.696031i	$-0.245052\pi$
$829$	11319.5	+	6535.32i	0.474237	+	0.273801i	−0.243774	+	0.969832i	$0.578386\pi$
$830$	884.140	−	170.404i	0.0369746	−	0.00712627i
$831$	56682.5	+	2700.12i	2.36618	+	0.112715i
$832$	24981.9	+	3591.86i	1.04098	+	0.149670i
$833$	9438.56	−	8382.50i	0.392589	−	0.348663i
$834$	498.251	+	3465.41i	0.0206871	+	0.143882i
$835$	−356.129	+	86.3959i	−0.0147597	+	0.00358066i
$836$	2455.10	−	116.951i	0.101569	−	0.00483832i
$837$	−26991.3	−	2577.35i	−1.11464	−	0.106435i
$838$	−3379.12	−	3221.99i	−0.139296	−	0.132818i
$839$	23899.0	−	27580.9i	0.983416	−	1.13492i	−0.00743669	−	0.999972i	$-0.502367\pi$
$839$	23899.0	−	27580.9i	0.983416	−	1.13492i	0.990852	−	0.134950i	$-0.0430874\pi$
$840$	230.122	+	1829.82i	0.00945232	+	0.0751606i
$841$	22816.6	−	6699.57i	0.935529	−	0.274696i
$842$	−3843.25	−	2736.77i	−0.157301	−	0.112013i
$843$	−2201.95	−	46224.7i	−0.0899635	−	1.88857i
$844$	−12544.2	+	11960.8i	−0.511598	+	0.487807i
$845$	−3802.67	+	2990.45i	−0.154812	+	0.121745i
$846$	15501.9	+	7079.50i	0.629986	+	0.287705i
$847$	−3993.65	−	1461.84i	−0.162011	−	0.0593029i
$848$	7090.43	−	11032.9i	0.287130	−	0.446783i
$849$	−59382.3	−	20552.4i	−2.40046	−	0.830809i
$850$	1743.91	−	3020.55i	0.0703714	−	0.121887i
$851$	3793.61	+	12388.3i	0.152812	+	0.499019i
$852$	55426.8	−	32000.7i	2.22875	−	1.28677i
$853$	32463.8	−	28130.1i	1.30310	−	1.12914i	0.319728	−	0.947509i	$-0.396408\pi$
$853$	32463.8	−	28130.1i	1.30310	−	1.12914i	0.983367	−	0.181629i	$-0.0581371\pi$
$854$	−9125.32	−	2385.51i	−0.365646	−	0.0955859i
$855$	−62.8522	+	437.147i	−0.00251404	+	0.0174855i
$856$	−1275.76	−	13360.4i	−0.0509400	−	0.533468i
$857$	2867.64	−	7163.01i	0.114302	−	0.285512i	−0.860176	−	0.509998i	$-0.829646\pi$
$857$	2867.64	−	7163.01i	0.114302	−	0.285512i	0.974477	+	0.224486i	$0.0720704\pi$
$858$	−12372.5	−	12975.9i	−0.492294	−	0.516304i
$859$	10535.2	−	20435.4i	0.418459	−	0.811697i	−0.581540	−	0.813518i	$-0.697549\pi$
$859$	10535.2	−	20435.4i	0.418459	−	0.811697i	0.999998	+	0.00182147i	$0.000579791\pi$
$860$	−2505.74	+	1144.33i	−0.0993546	+	0.0453737i
$861$	−29969.1	+	20551.6i	−1.18623	+	0.813467i
$862$	9299.21	+	8057.81i	0.367439	+	0.318388i
$863$	5190.78	+	1000.44i	0.204746	+	0.0394616i	0.290593	−	0.956847i	$-0.406147\pi$
$863$	5190.78	+	1000.44i	0.204746	+	0.0394616i	−0.0858468	+	0.996308i	$0.527360\pi$
$864$	−18631.7	−	4520.01i	−0.733639	−	0.177979i
$865$	−115.407	+	1208.59i	−0.00453636	+	0.0475069i
$866$	−4276.14	−	2204.50i	−0.167794	−	0.0865036i
$867$	8455.29	−	28796.1i	0.331207	−	1.12799i
$868$	−1682.03	+	25724.0i	−0.0657740	+	1.00591i
$869$	−10774.1	+	23592.0i	−0.420583	+	0.920949i
$870$	−59.2518	−	148.004i	−0.00230899	−	0.00576759i
$871$	−44699.2	+	23044.0i	−1.73889	+	0.896460i
$872$	−926.810	−	4808.75i	−0.0359928	−	0.186748i
$873$	19147.6	+	33164.6i	0.742323	+	1.28574i
$874$	−480.421	+	691.435i	−0.0185932	+	0.0267599i
$875$	−3438.40	−	3087.58i	−0.132845	−	0.119291i
$876$	6569.72	+	7581.86i	0.253391	+	0.292428i
$877$	1078.41	−	22638.5i	0.0415224	−	0.871663i	−0.878008	−	0.478645i	$-0.841128\pi$
$877$	1078.41	−	22638.5i	0.0415224	−	0.871663i	0.919531	−	0.393018i	$-0.128569\pi$
$878$	6771.11	−	8610.17i	0.260267	−	0.330956i
$879$	12178.0	−	8671.95i	0.467299	−	0.332762i
$880$	1034.52	+	1315.50i	0.0396292	+	0.0503927i
$881$	28779.9	+	8450.54i	1.10059	+	0.323162i	0.781086	−	0.624423i	$-0.214666\pi$
$881$	28779.9	+	8450.54i	1.10059	+	0.323162i	0.319503	+	0.947585i	$0.396484\pi$
$882$	−11429.7	+	1786.05i	−0.436348	+	0.0681853i
$883$	2141.95	+	4690.22i	0.0816335	+	0.178753i	0.946047	−	0.324029i	$-0.105037\pi$
$883$	2141.95	+	4690.22i	0.0816335	+	0.178753i	−0.864414	+	0.502781i	$0.832310\pi$
$884$	−15785.3	+	16555.1i	−0.600583	+	0.629874i
$885$	1577.73	+	4558.57i	0.0599265	+	0.173146i
$886$	3183.49	+	9198.09i	0.120713	+	0.348776i
$887$	12445.9	−	13052.9i	0.471130	−	0.494107i	−0.444697	−	0.895681i	$-0.646688\pi$
$887$	12445.9	−	13052.9i	0.471130	−	0.494107i	0.915826	+	0.401575i	$0.131537\pi$
$888$	−4848.60	−	10617.0i	−0.183230	−	0.401218i
$889$	84.9536	+	13.7529i	0.00320501	+	0.000518849i
$890$	−456.575	−	134.063i	−0.0171960	−	0.00504920i
$891$	−550.766	−	700.356i	−0.0207086	−	0.0263331i
$892$	15916.7	−	11334.2i	0.597455	−	0.425446i
$893$	3119.42	−	3966.67i	0.116895	−	0.148645i
$894$	−994.332	+	20873.6i	−0.0371985	+	0.780892i
$895$	−159.322	−	183.867i	−0.00595033	−	0.00686705i
$896$	−4943.11	+	23410.3i	−0.184306	+	0.872862i
$897$	−77524.7	+	8308.04i	−2.88570	+	0.309250i
$898$	−367.277	−	636.142i	−0.0136483	−	0.0236396i
$899$	−876.691	−	4548.71i	−0.0325242	−	0.168752i
$900$	36066.8	−	18593.7i	1.33581	−	0.688656i
$901$	3564.87	+	8904.61i	0.131812	+	0.329252i
$902$	2451.40	−	5367.82i	0.0904908	−	0.198147i
$903$	−25615.4	−	51922.7i	−0.943996	−	1.91349i
$904$	2785.35	−	9486.03i	0.102477	−	0.349005i
$905$	−960.782	−	495.317i	−0.0352900	−	0.0181933i
$906$	91.6499	−	959.801i	0.00336078	−	0.0351957i
$907$	−8604.19	−	2087.35i	−0.314992	−	0.0764162i	0.0751464	−	0.997173i	$-0.476058\pi$
$907$	−8604.19	−	2087.35i	−0.314992	−	0.0764162i	−0.390138	+	0.920756i	$0.627573\pi$
$908$	−26409.2	−	5089.95i	−0.965219	−	0.186031i
$909$	−48883.8	−	42358.0i	−1.78369	−	1.54557i
$910$	−672.369	−	980.474i	−0.0244932	−	0.0357169i
$911$	−20631.0	+	9421.88i	−0.750315	+	0.342657i	−0.753597	−	0.657337i	$-0.771683\pi$
$911$	−20631.0	+	9421.88i	−0.750315	+	0.342657i	0.00328153	+	0.999995i	$0.498955\pi$
$912$	−1942.18	+	3767.31i	−0.0705177	+	0.136785i
$913$	26923.2	+	28236.2i	0.975932	+	1.02353i
$914$	2654.85	−	6631.48i	0.0960771	−	0.239989i
$915$	−535.319	−	5606.11i	−0.0193411	−	0.202549i
$916$	4967.26	−	34548.1i	0.179174	−	1.24618i
$917$	3072.10	+	3034.81i	0.110632	+	0.109289i
$918$	3070.88	−	2660.94i	0.110408	−	0.0956688i
$919$	19259.5	−	11119.5i	0.691307	−	0.399126i	−0.112795	−	0.993618i	$-0.535980\pi$
$919$	19259.5	−	11119.5i	0.691307	−	0.399126i	0.804101	+	0.594492i	$0.202647\pi$
$920$	−1302.30	+	15.0542i	−0.0466691	+	0.000539479i
$921$	−10437.9	+	18079.0i	−0.373443	+	0.646823i
$922$	−12175.6	−	4214.03i	−0.434906	−	0.150522i
$923$	−46368.4	+	72150.6i	−1.65356	+	2.57299i
$924$	−29492.7	+	24655.6i	−1.05004	+	0.877825i
$925$	13248.2	+	6050.24i	0.470916	+	0.215060i
$926$	5257.67	−	4134.68i	0.186585	−	0.146732i
$927$	−37202.3	+	35472.3i	−1.31811	+	1.25681i
$928$	−155.857	−	3271.84i	−0.00551321	−	0.115736i
$929$	−11918.4	−	8487.06i	−0.420915	−	0.299732i	0.349905	−	0.936785i	$-0.386214\pi$
$929$	−11918.4	−	8487.06i	−0.420915	−	0.299732i	−0.770820	+	0.637053i	$0.780153\pi$
$930$	1163.32	−	341.583i	0.0410182	−	0.0120440i
$931$	−283.957	+	3413.74i	−0.00999605	+	0.120173i
$932$	−11577.3	+	13360.9i	−0.406897	+	0.469584i
$933$	49443.6	+	47144.4i	1.73495	+	1.65427i
$934$	−4731.50	−	451.803i	−0.165759	−	0.0158281i
$935$	−1222.58	+	58.2388i	−0.0427623	+	0.00203702i
$936$	42348.3	−	10273.6i	1.47884	−	0.358764i
$937$	4869.01	+	33864.7i	0.169758	+	1.18070i	0.879383	+	0.476115i	$0.157956\pi$
$937$	4869.01	+	33864.7i	0.169758	+	1.18070i	−0.709624	+	0.704580i	$0.751135\pi$
$938$	−3391.03	−	7787.08i	−0.118040	−	0.271063i
$939$	−70870.8	−	10189.7i	−2.46302	−	0.354129i
$940$	3750.83	+	178.674i	0.130147	+	0.00619968i
$941$	13810.5	−	2661.75i	0.478437	−	0.0922111i	0.0556691	−	0.998449i	$-0.482271\pi$
$941$	13810.5	−	2661.75i	0.478437	−	0.0922111i	0.422768	+	0.906238i	$0.361059\pi$
$942$	−15777.5	−	9109.14i	−0.545710	−	0.315066i
$943$	−12022.0	−	22672.1i	−0.415154	−	0.782931i
$944$			28721.8i			0.990269i
$945$	−1299.23	−	2345.20i	−0.0447236	−	0.0807295i
$946$	7909.46	+	5083.10i	0.271838	+	0.174700i
$947$	32256.2	−	12913.5i	1.10685	−	0.443116i	0.255021	−	0.966936i	$-0.417918\pi$
$947$	32256.2	−	12913.5i	1.10685	−	0.443116i	0.851829	+	0.523820i	$0.175493\pi$
$948$	−28352.1	−	39815.0i	−0.971344	−	1.36406i
$949$	−12480.8	−	4996.55i	−0.426916	−	0.170911i
$950$	223.137	+	919.783i	0.00762055	+	0.0314123i
$951$	43862.7	+	68251.8i	1.49563	+	2.32725i
$952$	−5438.23	−	5909.36i	−0.185141	−	0.201180i
$953$	8814.13	+	30018.2i	0.299599	+	1.02034i	0.962421	+	0.271563i	$0.0875404\pi$
$953$	8814.13	+	30018.2i	0.299599	+	1.02034i	−0.662822	+	0.748777i	$0.730641\pi$
$954$	1663.52	−	8631.17i	0.0564554	−	0.292919i
$955$	−1469.28	+	508.524i	−0.0497852	+	0.0172308i
$956$	3.63197	−	14.9712i	0.000122873	−	0.000506488i
$957$	4006.91	−	5626.92i	0.135345	−	0.190065i
$958$	2079.52	−	1336.42i	0.0701317	−	0.0450709i
$959$	594.859	+	19885.6i	0.0200302	+	0.669594i
$960$	−2519.18	+	362.203i	−0.0846940	+	0.0121772i
$961$	5414.45	−	517.018i	0.181748	−	0.0173548i
$962$	5914.31	+	4651.06i	0.198217	+	0.155880i
$963$	23033.4	+	44678.5i	0.770759	+	1.49506i
$964$	6610.65	−	19100.2i	0.220866	−	0.638150i
$965$	1241.20			0.0414048
$966$	−545.848	−	13156.8i	−0.0181805	−	0.438211i
$967$	52981.9			1.76193			0.880964	−	0.473184i	$-0.156895\pi$
$967$	52981.9			1.76193			0.880964	+	0.473184i	$0.156895\pi$
$968$	−884.902	+	2556.76i	−0.0293820	+	0.0848938i
$969$	−1420.44	−	2755.26i	−0.0470908	−	0.0913434i
$970$	−522.467	−	410.872i	−0.0172942	−	0.0136003i
$971$	35443.5	−	3384.44i	1.17141	−	0.111856i	0.508841	−	0.860860i	$-0.330074\pi$
$971$	35443.5	−	3384.44i	1.17141	−	0.111856i	0.662565	+	0.749005i	$0.269468\pi$
$972$	−26967.8	+	3877.39i	−0.889911	+	0.127950i
$973$	−8557.19	+	5287.80i	−0.281944	+	0.174223i
$974$	−782.305	+	502.757i	−0.0257358	+	0.0165394i
$975$	−50840.0	+	71394.7i	−1.66993	+	2.34509i
$976$	7905.25	−	32585.9i	0.259263	−	1.06870i
$977$	−35156.5	+	12167.8i	−1.15124	+	0.398447i	−0.835009	−	0.550237i	$-0.814537\pi$
$977$	−35156.5	+	12167.8i	−1.15124	+	0.398447i	−0.316227	+	0.948684i	$0.602416\pi$
$978$	−1408.42	+	7307.60i	−0.0460495	+	0.238928i
$979$	−5808.90	−	19783.3i	−0.189636	−	0.645839i
$980$	−2191.79	+	1301.37i	−0.0714430	+	0.0424191i
$981$	9916.28	+	15430.0i	0.322734	+	0.502184i
$982$	−3905.51	−	16098.7i	−0.126914	−	0.523147i
$983$	−8978.75	−	3594.55i	−0.291330	−	0.116631i	0.221394	−	0.975184i	$-0.428939\pi$
$983$	−8978.75	−	3594.55i	−0.291330	−	0.116631i	−0.512724	+	0.858553i	$0.671364\pi$
$984$	13409.9	+	18831.5i	0.434442	+	0.610089i
$985$	1210.50	−	484.611i	0.0391571	−	0.0156761i
$986$	584.018	+	375.325i	0.0188630	+	0.0121225i
$987$	−1396.47	+	78911.5i	−0.0450356	+	2.54487i
$988$		−	6207.28i		−	0.199878i
$989$	38480.9	−	13818.5i	1.23723	−	0.444289i
$990$	971.395	+	560.835i	0.0311848	+	0.0180046i
$991$	42800.7	−	8249.17i	1.37196	−	0.264423i	0.550568	−	0.834790i	$-0.314411\pi$
$991$	42800.7	−	8249.17i	1.37196	−	0.264423i	0.821390	+	0.570367i	$0.193199\pi$
$992$	24882.7	+	1185.31i	0.796398	+	0.0379371i
$993$	−47804.9	−	6873.30i	−1.52774	−	0.219655i
$994$	−11648.6	−	8609.54i	−0.371700	−	0.274726i
$995$	382.897	+	2663.11i	0.0121997	+	0.0848505i
$996$	−71453.7	+	17334.5i	−2.27319	+	0.551470i
$997$	−29845.0	+	1421.69i	−0.948043	+	0.0451609i	−0.515904	−	0.856646i	$-0.672544\pi$
$997$	−29845.0	+	1421.69i	−0.948043	+	0.0451609i	−0.432139	+	0.901807i	$0.642241\pi$
$998$	11745.1	+	1121.52i	0.372530	+	0.0355723i
$999$	12280.0	+	11709.0i	0.388912	+	0.370827i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	161.4.o.a.10.25	✓	920
7.5	odd	6	inner	161.4.o.a.33.22	yes	920
23.7	odd	22	inner	161.4.o.a.122.22	yes	920
161.145	even	66	inner	161.4.o.a.145.25	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
161.4.o.a.10.25	✓	920	1.1	even	1	trivial
161.4.o.a.33.22	yes	920	7.5	odd	6	inner
161.4.o.a.122.22	yes	920	23.7	odd	22	inner
161.4.o.a.145.25	yes	920	161.145	even	66	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:	\( N \)	\(=\)	\( 161 = 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	161.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.249977 - 0.722262i) q^{2} +(3.86457 + 7.49623i) q^{3} +(5.82925 + 4.58417i) q^{4} +(0.997579 - 0.0952572i) q^{5} +(6.38029 - 0.917348i) q^{6} +(9.73557 + 15.7550i) q^{7} +(9.91190 - 6.36999i) q^{8} +(-25.5970 + 35.9459i) q^{9} +(0.180571 - 0.744325i) q^{10} +(31.3617 - 10.8544i) q^{11} +(-11.8364 + 61.4133i) q^{12} +(-23.6126 - 80.4171i) q^{13} +(13.8129 - 3.09325i) q^{14} +(4.56929 + 7.10995i) q^{15} +(11.8638 + 48.9031i) q^{16} +(-34.1669 - 13.6784i) q^{17} +(19.5637 + 27.4734i) q^{18} +(9.27159 - 3.71179i) q^{19} +(6.25181 + 4.01780i) q^{20} +(-80.4790 + 133.866i) q^{21} -25.3647i q^{22} +(-87.4873 - 67.1787i) q^{23} +(86.0562 + 49.6845i) q^{24} +(-121.755 + 23.4664i) q^{25} +(-63.9848 - 3.04797i) q^{26} +(-142.986 - 20.5583i) q^{27} +(-15.4724 + 136.469i) q^{28} +(-3.51238 - 24.4291i) q^{29} +(6.27746 - 1.52290i) q^{30} +(187.484 - 8.93097i) q^{31} +(132.118 + 12.6157i) q^{32} +(202.566 + 193.147i) q^{33} +(-18.4203 + 21.2582i) q^{34} +(11.2128 + 14.7894i) q^{35} +(-313.993 + 92.1968i) q^{36} +(-95.6786 - 68.1324i) q^{37} +(-0.363194 - 7.62438i) q^{38} +(511.572 - 487.783i) q^{39} +(9.28111 - 7.29875i) q^{40} +(211.626 + 96.6463i) q^{41} +(76.5686 + 91.5904i) q^{42} +(-200.401 + 311.830i) q^{43} +(232.573 + 80.4944i) q^{44} +(-22.1109 + 38.2972i) q^{45} +(-70.3904 + 46.3955i) q^{46} +(437.593 - 252.645i) q^{47} +(-320.741 + 277.923i) q^{48} +(-153.438 + 306.767i) q^{49} +(-13.4871 + 93.8050i) q^{50} +(-29.5044 - 308.984i) q^{51} +(231.002 - 577.015i) q^{52} +(-179.849 - 188.620i) q^{53} +(-50.5918 + 98.1344i) q^{54} +(30.2518 - 13.8155i) q^{55} +(196.857 + 94.1461i) q^{56} +(63.6552 + 55.1575i) q^{57} +(-18.5222 - 3.56987i) q^{58} +(554.675 + 134.563i) q^{59} +(-5.95772 + 62.3921i) q^{60} +(-592.263 - 305.333i) q^{61} +(40.4163 - 137.645i) q^{62} +(-815.527 - 53.3254i) q^{63} +(-125.096 + 273.923i) q^{64} +(-31.2157 - 77.9731i) q^{65} +(190.139 - 98.0237i) q^{66} +(-113.556 - 589.185i) q^{67} +(-136.463 - 236.362i) q^{68} +(165.486 - 915.442i) q^{69} +(13.4848 - 4.40153i) q^{70} +(-670.125 - 773.365i) q^{71} +(-24.7394 + 519.345i) q^{72} +(99.1552 - 126.086i) q^{73} +(-73.1269 + 52.0734i) q^{74} +(-646.440 - 822.016i) q^{75} +(71.0619 + 20.8657i) q^{76} +(476.334 + 388.428i) q^{77} +(-224.426 - 491.424i) q^{78} +(-539.301 + 565.603i) q^{79} +(16.4934 + 47.6546i) q^{80} +(-8.78088 - 25.3707i) q^{81} +(122.706 - 128.690i) q^{82} +(488.363 + 1069.37i) q^{83} +(-1082.80 + 411.410i) q^{84} +(-35.3871 - 10.3906i) q^{85} +(175.127 + 222.692i) q^{86} +(169.552 - 120.738i) q^{87} +(241.711 - 307.361i) q^{88} +(29.5619 - 620.580i) q^{89} +(22.1334 + 25.5433i) q^{90} +(1037.09 - 1154.92i) q^{91} +(-202.026 - 792.658i) q^{92} +(791.495 + 1370.91i) q^{93} +(-73.0872 - 379.212i) q^{94} +(8.89557 - 4.58598i) q^{95} +(416.010 + 1039.14i) q^{96} +(360.503 - 789.390i) q^{97} +(183.210 + 187.507i) q^{98} +(-412.593 + 1405.16i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) \) 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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