LMFDB - Embedded newform 210.3.s.a.11.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,3,Mod(11,210)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 0, 4]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("210.11");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	210.s (of order $6$, degree $2$, 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:	$5.72208555157$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$20$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.17
Character	$\chi$	$=$	210.11
Dual form			210.3.s.a.191.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.22474 - 0.707107i) q^{2} +(1.81607 + 2.38786i) q^{3} +(1.00000 - 1.73205i) q^{4} +(-1.93649 + 1.11803i) q^{5} +(3.91270 + 1.64036i) q^{6} +(-2.08959 + 6.68084i) q^{7} -2.82843i q^{8} +(-2.40375 + 8.67306i) q^{9} +O(q^{10})$	\(q+(1.22474 - 0.707107i) q^{2} +(1.81607 + 2.38786i) q^{3} +(1.00000 - 1.73205i) q^{4} +(-1.93649 + 1.11803i) q^{5} +(3.91270 + 1.64036i) q^{6} +(-2.08959 + 6.68084i) q^{7} -2.82843i q^{8} +(-2.40375 + 8.67306i) q^{9} +(-1.58114 + 2.73861i) q^{10} +(14.2957 + 8.25361i) q^{11} +(5.95197 - 0.757673i) q^{12} +13.0314 q^{13} +(2.16486 + 9.65989i) q^{14} +(-6.18652 - 2.59364i) q^{15} +(-2.00000 - 3.46410i) q^{16} +(4.10654 + 2.37091i) q^{17} +(3.18880 + 12.3220i) q^{18} +(-16.8648 - 29.2107i) q^{19} +4.47214i q^{20} +(-19.7478 + 7.14326i) q^{21} +23.3447 q^{22} +(-10.0856 + 5.82293i) q^{23} +(6.75389 - 5.13663i) q^{24} +(2.50000 - 4.33013i) q^{25} +(15.9601 - 9.21457i) q^{26} +(-25.0754 + 10.0111i) q^{27} +(9.48197 + 10.3001i) q^{28} +39.6383i q^{29} +(-9.41089 + 1.19799i) q^{30} +(26.8474 - 46.5011i) q^{31} +(-4.89898 - 2.82843i) q^{32} +(6.25354 + 49.1252i) q^{33} +6.70596 q^{34} +(-3.42294 - 15.2736i) q^{35} +(12.6184 + 12.8365i) q^{36} +(-19.9373 - 34.5325i) q^{37} +(-41.3102 - 23.8505i) q^{38} +(23.6659 + 31.1171i) q^{39} +(3.16228 + 5.47723i) q^{40} -63.1758i q^{41} +(-19.1349 + 22.7124i) q^{42} -13.9597 q^{43} +(28.5914 - 16.5072i) q^{44} +(-5.04194 - 19.4828i) q^{45} +(-8.23487 + 14.2632i) q^{46} +(9.23264 - 5.33046i) q^{47} +(4.63964 - 11.0668i) q^{48} +(-40.2673 - 27.9204i) q^{49} -7.07107i q^{50} +(1.79638 + 14.1116i) q^{51} +(13.0314 - 22.5710i) q^{52} +(76.5915 + 44.2201i) q^{53} +(-23.6321 + 29.9921i) q^{54} -36.9113 q^{55} +(18.8963 + 5.91024i) q^{56} +(39.1234 - 93.3197i) q^{57} +(28.0285 + 48.5468i) q^{58} +(-39.2652 - 22.6698i) q^{59} +(-10.6788 + 8.12173i) q^{60} +(33.8109 + 58.5621i) q^{61} -75.9360i q^{62} +(-52.9205 - 34.1822i) q^{63} -8.00000 q^{64} +(-25.2351 + 14.5695i) q^{65} +(42.3958 + 55.7440i) q^{66} +(-13.4145 + 23.2346i) q^{67} +(8.21309 - 4.74183i) q^{68} +(-32.2206 - 13.5081i) q^{69} +(-14.9923 - 16.2859i) q^{70} +10.2520i q^{71} +(24.5311 + 6.79883i) q^{72} +(37.0033 - 64.0916i) q^{73} +(-48.8363 - 28.1957i) q^{74} +(14.8799 - 1.89418i) q^{75} -67.4593 q^{76} +(-85.0131 + 78.2605i) q^{77} +(50.9878 + 21.3761i) q^{78} +(-41.4013 - 71.7091i) q^{79} +(7.74597 + 4.47214i) q^{80} +(-69.4440 - 41.6957i) q^{81} +(-44.6720 - 77.3742i) q^{82} -36.0494i q^{83} +(-7.37526 + 41.3474i) q^{84} -10.6031 q^{85} +(-17.0970 + 9.87098i) q^{86} +(-94.6507 + 71.9861i) q^{87} +(23.3447 - 40.4343i) q^{88} +(-52.5396 + 30.3338i) q^{89} +(-19.9515 - 20.2962i) q^{90} +(-27.2302 + 87.0605i) q^{91} +23.2917i q^{92} +(159.795 - 20.3416i) q^{93} +(7.53842 - 13.0569i) q^{94} +(65.3172 + 37.7109i) q^{95} +(-2.14302 - 16.8347i) q^{96} +18.6261 q^{97} +(-69.0598 - 5.72211i) q^{98} +(-105.947 + 104.148i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q + 40 q^{4} - 8 q^{6} + 20 q^{7} - 4 q^{9}+O(q^{10}) $ 40 * q + 40 * q^4 - 8 * q^6 + 20 * q^7 - 4 * q^9	$ 40 q + 40 q^{4} - 8 q^{6} + 20 q^{7} - 4 q^{9} + 136 q^{13} + 40 q^{15} - 80 q^{16} + 16 q^{18} - 140 q^{19} + 36 q^{21} - 8 q^{24} + 100 q^{25} - 120 q^{27} - 16 q^{28} - 20 q^{30} + 4 q^{31} + 232 q^{33} + 32 q^{34} - 16 q^{36} - 76 q^{37} - 4 q^{39} + 128 q^{42} - 104 q^{43} - 20 q^{45} - 56 q^{46} + 100 q^{49} + 168 q^{51} + 136 q^{52} + 40 q^{54} + 80 q^{55} + 200 q^{57} + 144 q^{58} + 40 q^{60} - 120 q^{61} - 324 q^{63} - 320 q^{64} - 288 q^{66} - 20 q^{67} - 416 q^{69} - 120 q^{70} - 32 q^{72} - 476 q^{73} - 560 q^{76} - 192 q^{78} - 508 q^{79} - 304 q^{81} + 224 q^{82} + 144 q^{84} - 240 q^{85} - 324 q^{87} + 468 q^{91} + 204 q^{93} + 400 q^{94} + 16 q^{96} - 512 q^{97} + 208 q^{99}+O(q^{100}) $ 40 * q + 40 * q^4 - 8 * q^6 + 20 * q^7 - 4 * q^9 + 136 * q^13 + 40 * q^15 - 80 * q^16 + 16 * q^18 - 140 * q^19 + 36 * q^21 - 8 * q^24 + 100 * q^25 - 120 * q^27 - 16 * q^28 - 20 * q^30 + 4 * q^31 + 232 * q^33 + 32 * q^34 - 16 * q^36 - 76 * q^37 - 4 * q^39 + 128 * q^42 - 104 * q^43 - 20 * q^45 - 56 * q^46 + 100 * q^49 + 168 * q^51 + 136 * q^52 + 40 * q^54 + 80 * q^55 + 200 * q^57 + 144 * q^58 + 40 * q^60 - 120 * q^61 - 324 * q^63 - 320 * q^64 - 288 * q^66 - 20 * q^67 - 416 * q^69 - 120 * q^70 - 32 * q^72 - 476 * q^73 - 560 * q^76 - 192 * q^78 - 508 * q^79 - 304 * q^81 + 224 * q^82 + 144 * q^84 - 240 * q^85 - 324 * q^87 + 468 * q^91 + 204 * q^93 + 400 * q^94 + 16 * q^96 - 512 * q^97 + 208 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$1$

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 $

$2$	1.22474	−	0.707107i	0.612372	−	0.353553i
$2$	1.22474	−	0.707107i	0.612372	−	0.353553i
$3$	1.81607	+	2.38786i	0.605358	+	0.795953i
$3$	1.81607	+	2.38786i	0.605358	+	0.795953i
$4$	1.00000	−	1.73205i	0.250000	−	0.433013i
$5$	−1.93649	+	1.11803i	−0.387298	+	0.223607i
$5$	−1.93649	+	1.11803i	−0.387298	+	0.223607i
$6$	3.91270	+	1.64036i	0.652117	+	0.273393i
$7$	−2.08959	+	6.68084i	−0.298512	+	0.954406i
$7$	−2.08959	+	6.68084i	−0.298512	+	0.954406i
$8$		−	2.82843i		−	0.353553i
$9$	−2.40375	+	8.67306i	−0.267083	+	0.963674i
$10$	−1.58114	+	2.73861i	−0.158114	+	0.273861i
$11$	14.2957	+	8.25361i	1.29961	+	0.750328i	0.980336	−	0.197335i	$-0.0632287\pi$
$11$	14.2957	+	8.25361i	1.29961	+	0.750328i	0.319271	+	0.947664i	$0.396562\pi$
$12$	5.95197	−	0.757673i	0.495997	−	0.0631394i
$13$	13.0314			1.00241			0.501206	−	0.865328i	$-0.332890\pi$
$13$	13.0314			1.00241			0.501206	+	0.865328i	$0.332890\pi$
$14$	2.16486	+	9.65989i	0.154633	+	0.689992i
$15$	−6.18652	−	2.59364i	−0.412435	−	0.172909i
$16$	−2.00000	−	3.46410i	−0.125000	−	0.216506i
$17$	4.10654	+	2.37091i	0.241561	+	0.139466i	0.615894	−	0.787829i	$-0.288795\pi$
$17$	4.10654	+	2.37091i	0.241561	+	0.139466i	−0.374333	+	0.927294i	$0.622128\pi$
$18$	3.18880	+	12.3220i	0.177156	+	0.684555i
$19$	−16.8648	−	29.2107i	−0.887623	−	1.53741i	−0.842678	−	0.538418i	$-0.819022\pi$
$19$	−16.8648	−	29.2107i	−0.887623	−	1.53741i	−0.0449448	−	0.998989i	$-0.514311\pi$
$20$			4.47214i			0.223607i
$21$	−19.7478	+	7.14326i	−0.940369	+	0.340155i
$22$	23.3447			1.06112
$23$	−10.0856	+	5.82293i	−0.438505	+	0.253171i	−0.702963	−	0.711226i	$-0.748140\pi$
$23$	−10.0856	+	5.82293i	−0.438505	+	0.253171i	0.264458	+	0.964397i	$0.414807\pi$
$24$	6.75389	−	5.13663i	0.281412	−	0.214026i
$25$	2.50000	−	4.33013i	0.100000	−	0.173205i
$26$	15.9601	−	9.21457i	0.613850	−	0.354406i
$27$	−25.0754	+	10.0111i	−0.928720	+	0.370782i
$28$	9.48197	+	10.3001i	0.338642	+	0.367861i
$29$			39.6383i			1.36684i	0.730027	+	0.683419i	$0.239508\pi$
$29$			39.6383i			1.36684i	−0.730027	+	0.683419i	$0.760492\pi$
$30$	−9.41089	+	1.19799i	−0.313696	+	0.0399329i
$31$	26.8474	−	46.5011i	0.866046	−	1.50004i	4.20833e−5	−	1.00000i	$-0.499987\pi$
$31$	26.8474	−	46.5011i	0.866046	−	1.50004i	0.866004	−	0.500036i	$-0.166680\pi$
$32$	−4.89898	−	2.82843i	−0.153093	−	0.0883883i
$33$	6.25354	+	49.1252i	0.189501	+	1.48864i
$34$	6.70596			0.197234
$35$	−3.42294	−	15.2736i	−0.0977983	−	0.436389i
$36$	12.6184	+	12.8365i	0.350512	+	0.356569i
$37$	−19.9373	−	34.5325i	−0.538847	−	0.933310i	−0.998966	−	0.0454534i	$-0.985527\pi$
$37$	−19.9373	−	34.5325i	−0.538847	−	0.933310i	0.460119	−	0.887857i	$-0.347807\pi$
$38$	−41.3102	−	23.8505i	−1.08711	−	0.627644i
$39$	23.6659	+	31.1171i	0.606819	+	0.797874i
$40$	3.16228	+	5.47723i	0.0790569	+	0.136931i
$41$		−	63.1758i		−	1.54087i	−0.637517	−	0.770436i	$-0.720038\pi$
$41$		−	63.1758i		−	1.54087i	0.637517	−	0.770436i	$-0.279962\pi$
$42$	−19.1349	+	22.7124i	−0.455593	+	0.540772i
$43$	−13.9597			−0.324644			−0.162322	−	0.986738i	$-0.551898\pi$
$43$	−13.9597			−0.324644			−0.162322	+	0.986738i	$0.551898\pi$
$44$	28.5914	−	16.5072i	0.649803	−	0.375164i
$45$	−5.04194	−	19.4828i	−0.112043	−	0.432951i
$46$	−8.23487	+	14.2632i	−0.179019	+	0.310070i
$47$	9.23264	−	5.33046i	0.196439	−	0.113414i	−0.398554	−	0.917145i	$-0.630488\pi$
$47$	9.23264	−	5.33046i	0.196439	−	0.113414i	0.594993	+	0.803731i	$0.297155\pi$
$48$	4.63964	−	11.0668i	0.0966592	−	0.230558i
$49$	−40.2673	−	27.9204i	−0.821781	−	0.569804i
$50$		−	7.07107i		−	0.141421i
$51$	1.79638	+	14.1116i	0.0352231	+	0.276698i
$52$	13.0314	−	22.5710i	0.250603	−	0.434057i
$53$	76.5915	+	44.2201i	1.44512	+	0.834342i	0.998185	−	0.0602232i	$-0.0191812\pi$
$53$	76.5915	+	44.2201i	1.44512	+	0.834342i	0.446938	+	0.894565i	$0.352515\pi$
$54$	−23.6321	+	29.9921i	−0.437631	+	0.555409i
$55$	−36.9113			−0.671114
$56$	18.8963	+	5.91024i	0.337433	+	0.105540i
$57$	39.1234	−	93.3197i	0.686375	−	1.63719i
$58$	28.0285	+	48.5468i	0.483250	+	0.837014i
$59$	−39.2652	−	22.6698i	−0.665512	−	0.384234i	0.128862	−	0.991663i	$-0.458868\pi$
$59$	−39.2652	−	22.6698i	−0.665512	−	0.384234i	−0.794374	+	0.607429i	$0.792201\pi$
$60$	−10.6788	+	8.12173i	−0.177981	+	0.135362i
$61$	33.8109	+	58.5621i	0.554276	+	0.960035i	0.997959	+	0.0638511i	$0.0203383\pi$
$61$	33.8109	+	58.5621i	0.554276	+	0.960035i	−0.443683	+	0.896184i	$0.646328\pi$
$62$		−	75.9360i		−	1.22477i
$63$	−52.9205	−	34.1822i	−0.840008	−	0.542574i
$64$	−8.00000			−0.125000
$65$	−25.2351	+	14.5695i	−0.388233	+	0.224146i
$66$	42.3958	+	55.7440i	0.642360	+	0.844606i
$67$	−13.4145	+	23.2346i	−0.200217	+	0.346786i	−0.948598	−	0.316483i	$-0.897498\pi$
$67$	−13.4145	+	23.2346i	−0.200217	+	0.346786i	0.748381	+	0.663269i	$0.230831\pi$
$68$	8.21309	−	4.74183i	0.120781	−	0.0697328i
$69$	−32.2206	−	13.5081i	−0.466965	−	0.195770i
$70$	−14.9923	−	16.2859i	−0.214176	−	0.232656i
$71$			10.2520i			0.144394i	0.997390	+	0.0721971i	$0.0230011\pi$
$71$			10.2520i			0.144394i	−0.997390	+	0.0721971i	$0.976999\pi$
$72$	24.5311	+	6.79883i	0.340710	+	0.0944281i
$73$	37.0033	−	64.0916i	0.506895	−	0.877968i	−0.493073	−	0.869988i	$-0.664127\pi$
$73$	37.0033	−	64.0916i	0.506895	−	0.877968i	0.999968	−	0.00797993i	$-0.00254012\pi$
$74$	−48.8363	−	28.1957i	−0.659950	−	0.381022i
$75$	14.8799	−	1.89418i	0.198399	−	0.0252558i
$76$	−67.4593			−0.887623
$77$	−85.0131	+	78.2605i	−1.10407	+	1.01637i
$78$	50.9878	+	21.3761i	0.653690	+	0.274053i
$79$	−41.4013	−	71.7091i	−0.524067	−	0.907710i	−0.999607	−	0.0280164i	$-0.991081\pi$
$79$	−41.4013	−	71.7091i	−0.524067	−	0.907710i	0.475541	−	0.879694i	$-0.342252\pi$
$80$	7.74597	+	4.47214i	0.0968246	+	0.0559017i
$81$	−69.4440	−	41.6957i	−0.857333	−	0.514762i
$82$	−44.6720	−	77.3742i	−0.544781	−	0.943588i
$83$		−	36.0494i		−	0.434330i	−0.976135	−	0.217165i	$-0.930319\pi$
$83$		−	36.0494i		−	0.434330i	0.976135	−	0.217165i	$-0.0696810\pi$
$84$	−7.37526	+	41.3474i	−0.0878007	+	0.492231i
$85$	−10.6031			−0.124742
$86$	−17.0970	+	9.87098i	−0.198803	+	0.114779i
$87$	−94.6507	+	71.9861i	−1.08794	+	0.827426i
$88$	23.3447	−	40.4343i	0.265281	−	0.459480i
$89$	−52.5396	+	30.3338i	−0.590333	+	0.340829i	−0.765229	−	0.643758i	$-0.777374\pi$
$89$	−52.5396	+	30.3338i	−0.590333	+	0.340829i	0.174896	+	0.984587i	$0.444041\pi$
$90$	−19.9515	−	20.2962i	−0.221683	−	0.225514i
$91$	−27.2302	+	87.0605i	−0.299233	+	0.956708i
$92$			23.2917i			0.253171i
$93$	159.795	−	20.3416i	1.71823	−	0.218727i
$94$	7.53842	−	13.0569i	0.0801959	−	0.138903i
$95$	65.3172	+	37.7109i	0.687550	+	0.396957i
$96$	−2.14302	−	16.8347i	−0.0223232	−	0.175362i
$97$	18.6261			0.192022			0.0960108	−	0.995380i	$-0.469392\pi$
$97$	18.6261			0.192022			0.0960108	+	0.995380i	$0.469392\pi$
$98$	−69.0598	−	5.72211i	−0.704692	−	0.0583889i
$99$	−105.947	+	104.148i	−1.07017	+	1.05200i
$100$	−5.00000	−	8.66025i	−0.0500000	−	0.0866025i
$101$	−20.4278	−	11.7940i	−0.202255	−	0.116772i	0.395452	−	0.918487i	$-0.370588\pi$
$101$	−20.4278	−	11.7940i	−0.202255	−	0.116772i	−0.597707	+	0.801715i	$0.703921\pi$
$102$	12.1785	+	16.0129i	0.119397	+	0.156989i
$103$	67.4790	+	116.877i	0.655136	+	1.13473i	0.981860	+	0.189609i	$0.0607220\pi$
$103$	67.4790	+	116.877i	0.655136	+	1.13473i	−0.326724	+	0.945120i	$0.605945\pi$
$104$		−	36.8583i		−	0.354406i
$105$	30.2550	−	35.9115i	0.288142	−	0.342015i
$106$	125.073			1.17994
$107$	44.4482	−	25.6622i	0.415404	−	0.239834i	−0.277705	−	0.960666i	$-0.589574\pi$
$107$	44.4482	−	25.6622i	0.415404	−	0.239834i	0.693109	+	0.720833i	$0.256240\pi$
$108$	−7.73568	+	53.4430i	−0.0716267	+	0.494843i
$109$	69.5957	−	120.543i	0.638492	−	1.10590i	−0.347271	−	0.937765i	$-0.612892\pi$
$109$	69.5957	−	120.543i	0.638492	−	1.10590i	0.985764	−	0.168136i	$-0.0537749\pi$
$110$	−45.2069	+	26.1002i	−0.410972	+	0.237275i
$111$	46.2510	−	110.321i	0.416676	−	0.993884i
$112$	27.3223	−	6.12314i	0.243949	−	0.0546709i
$113$		−	73.8977i		−	0.653962i	−0.945031	−	0.326981i	$-0.893969\pi$
$113$		−	73.8977i		−	0.653962i	0.945031	−	0.326981i	$-0.106031\pi$
$114$	−18.0709	−	141.957i	−0.158516	−	1.24524i
$115$	13.0205	−	22.5521i	0.113221	−	0.196105i
$116$	68.6555	+	39.6383i	0.591858	+	0.341709i
$117$	−31.3241	+	113.022i	−0.267727	+	0.965998i
$118$	−64.1199			−0.543389
$119$	−24.4207	+	22.4809i	−0.205216	+	0.188915i
$120$	−7.33591	+	17.4981i	−0.0611326	+	0.145818i
$121$	75.7442	+	131.193i	0.625985	+	1.08424i
$122$	82.8194	+	47.8158i	0.678847	+	0.391933i
$123$	150.855	−	114.732i	1.22646	−	0.932780i
$124$	−53.6949	−	93.0023i	−0.433023	−	0.750018i
$125$			11.1803i			0.0894427i
$126$	−88.9846	−	4.44400i	−0.706227	−	0.0352698i
$127$	16.0393			0.126294			0.0631470	−	0.998004i	$-0.479886\pi$
$127$	16.0393			0.126294			0.0631470	+	0.998004i	$0.479886\pi$
$128$	−9.79796	+	5.65685i	−0.0765466	+	0.0441942i
$129$	−25.3518	−	33.3337i	−0.196526	−	0.258401i
$130$	−20.6044	+	35.6879i	−0.158495	+	0.274522i
$131$	−133.747	+	77.2188i	−1.02097	+	0.589457i	−0.914384	−	0.404847i	$-0.867325\pi$
$131$	−133.747	+	77.2188i	−1.02097	+	0.589457i	−0.106585	+	0.994304i	$0.533991\pi$
$132$	91.3410	+	38.2938i	0.691977	+	0.290104i
$133$	230.393	−	51.6329i	1.73228	−	0.388217i
$134$			37.9420i			0.283149i
$135$	37.3656	−	47.4216i	0.276782	−	0.351271i
$136$	6.70596	−	11.6151i	0.0493085	−	0.0854049i
$137$	202.097	+	116.681i	1.47516	+	0.851686i	0.999608	−	0.0280004i	$-0.00891396\pi$
$137$	202.097	+	116.681i	1.47516	+	0.851686i	0.475555	+	0.879686i	$0.342247\pi$
$138$	−49.0137	+	6.23934i	−0.355171	+	0.0452126i
$139$	−131.655			−0.947157			−0.473578	−	0.880752i	$-0.657038\pi$
$139$	−131.655			−0.947157			−0.473578	+	0.880752i	$0.657038\pi$
$140$	−29.8776	−	9.34492i	−0.213412	−	0.0667494i
$141$	29.4956	+	12.3657i	0.209188	+	0.0877001i
$142$	7.24925	+	12.5561i	0.0510511	+	0.0884231i
$143$	186.292	+	107.556i	1.30274	+	0.752139i
$144$	34.8519	−	9.01930i	0.242027	−	0.0626340i
$145$	−44.3169	−	76.7592i	−0.305634	−	0.529374i
$146$		−	104.661i		−	0.716858i
$147$	−6.45834	−	146.858i	−0.0439343	−	0.999034i
$148$	−79.7494			−0.538847
$149$	49.6223	−	28.6495i	0.333036	−	0.192278i	−0.324152	−	0.946005i	$-0.605079\pi$
$149$	49.6223	−	28.6495i	0.333036	−	0.192278i	0.657188	+	0.753727i	$0.271746\pi$
$150$	16.8847	−	12.8416i	0.112565	−	0.0856106i
$151$	−74.5806	+	129.177i	−0.493911	+	0.855479i	−0.999975	−	0.00701640i	$-0.997767\pi$
$151$	−74.5806	+	129.177i	−0.493911	+	0.855479i	0.506064	+	0.862496i	$0.331100\pi$
$152$	−82.6205	+	47.7009i	−0.543556	+	0.313822i
$153$	−30.4342	+	29.9172i	−0.198916	+	0.195537i
$154$	−48.7809	+	155.962i	−0.316759	+	1.01274i
$155$			120.065i			0.774615i
$156$	77.5623	−	9.87352i	0.497194	−	0.0632918i
$157$	45.3254	−	78.5058i	0.288697	−	0.500037i	−0.684802	−	0.728729i	$-0.740111\pi$
$157$	45.3254	−	78.5058i	0.288697	−	0.500037i	0.973499	+	0.228692i	$0.0734448\pi$
$158$	−101.412	−	58.5502i	−0.641848	−	0.370571i
$159$	33.5044	+	263.197i	0.210720	+	1.65533i
$160$	12.6491			0.0790569
$161$	−17.8273	−	79.5479i	−0.110729	−	0.494086i
$162$	−114.534	−	1.96228i	−0.707003	−	0.0121129i
$163$	−2.87108	−	4.97286i	−0.0176140	−	0.0305083i	0.857084	−	0.515177i	$-0.172274\pi$
$163$	−2.87108	−	4.97286i	−0.0176140	−	0.0305083i	−0.874698	+	0.484668i	$0.838940\pi$
$164$	−109.424	−	63.1758i	−0.667218	−	0.385218i
$165$	−67.0336	−	88.1390i	−0.406264	−	0.534175i
$166$	−25.4908	−	44.1513i	−0.153559	−	0.265972i
$167$			203.037i			1.21579i	0.794018	+	0.607894i	$0.207986\pi$
$167$			203.037i			1.21579i	−0.794018	+	0.607894i	$0.792014\pi$
$168$	20.2042	+	55.8551i	0.120263	+	0.332471i
$169$	0.816435			0.00483097
$170$	−12.9860	+	7.49749i	−0.0763884	+	0.0441029i
$171$	293.885	−	76.0544i	1.71863	−	0.444763i
$172$	−13.9597	+	24.1789i	−0.0811609	+	0.140575i
$173$	208.485	−	120.369i	1.20512	−	0.695774i	0.243428	−	0.969919i	$-0.421728\pi$
$173$	208.485	−	120.369i	1.20512	−	0.695774i	0.961688	+	0.274145i	$0.0883947\pi$
$174$	−65.0211	+	155.093i	−0.373684	+	0.891337i
$175$	23.7049	+	25.7503i	0.135457	+	0.147144i
$176$		−	66.0289i		−	0.375164i
$177$	−17.1763	−	134.930i	−0.0970412	−	0.762316i
$178$	−42.8984	+	74.3022i	−0.241002	+	0.417428i
$179$	50.4666	+	29.1369i	0.281936	+	0.162776i	0.634300	−	0.773087i	$-0.281289\pi$
$179$	50.4666	+	29.1369i	0.281936	+	0.162776i	−0.352363	+	0.935863i	$0.614622\pi$
$180$	−38.7871	−	10.7499i	−0.215484	−	0.0597216i
$181$	−60.4987			−0.334247			−0.167123	−	0.985936i	$-0.553448\pi$
$181$	−60.4987			−0.334247			−0.167123	+	0.985936i	$0.553448\pi$
$182$	28.2110	+	125.881i	0.155006	+	0.691657i
$183$	−78.4351	+	187.089i	−0.428607	+	1.02234i
$184$	16.4697	+	28.5264i	0.0895094	+	0.155035i
$185$	77.2170	+	44.5812i	0.417389	+	0.240980i
$186$	181.325	−	137.905i	0.974863	−	0.741427i
$187$	39.1372	+	67.7877i	0.209290	+	0.362501i
$188$		−	21.3219i		−	0.113414i
$189$	−14.4853	−	188.444i	−0.0766420	−	0.997059i
$190$	106.663			0.561382
$191$	−191.308	+	110.452i	−1.00161	+	0.578282i	−0.908725	−	0.417395i	$-0.862943\pi$
$191$	−191.308	+	110.452i	−1.00161	+	0.578282i	−0.0928878	+	0.995677i	$0.529610\pi$
$192$	−14.5286	−	19.1029i	−0.0756698	−	0.0994942i
$193$	−104.481	+	180.967i	−0.541354	+	0.937653i	0.457473	+	0.889224i	$0.348755\pi$
$193$	−104.481	+	180.967i	−0.541354	+	0.937653i	−0.998827	+	0.0484290i	$0.984579\pi$
$194$	22.8122	−	13.1706i	0.117589	−	0.0678899i
$195$	−80.6188	−	33.7986i	−0.413430	−	0.173326i
$196$	−88.6268	+	41.8245i	−0.452178	+	0.213390i
$197$			78.6550i			0.399264i	0.979871	+	0.199632i	$0.0639747\pi$
$197$			78.6550i			0.399264i	−0.979871	+	0.199632i	$0.936025\pi$
$198$	−56.1149	+	202.470i	−0.283408	+	1.02258i
$199$	−158.760	+	274.981i	−0.797791	+	1.38181i	0.123262	+	0.992374i	$0.460665\pi$
$199$	−158.760	+	274.981i	−0.797791	+	1.38181i	−0.921052	+	0.389439i	$0.872669\pi$
$200$	−12.2474	−	7.07107i	−0.0612372	−	0.0353553i
$201$	−79.8428	+	10.1638i	−0.397228	+	0.0505663i
$202$	−33.3584			−0.165141
$203$	−264.817	−	82.8276i	−1.30452	−	0.408018i
$204$	26.2384	+	11.0002i	0.128620	+	0.0539225i
$205$	70.6327	+	122.339i	0.344550	+	0.596778i
$206$	165.289	+	95.4297i	0.802374	+	0.463251i
$207$	−26.2594	−	101.470i	−0.126857	−	0.490193i
$208$	−26.0627	−	45.1420i	−0.125302	−	0.217029i
$209$		−	556.783i		−	2.66403i
$210$	11.6613	−	65.3759i	0.0555301	−	0.311314i
$211$	−52.9938			−0.251156			−0.125578	−	0.992084i	$-0.540078\pi$
$211$	−52.9938			−0.251156			−0.125578	+	0.992084i	$0.540078\pi$
$212$	153.183	−	88.4402i	0.722561	−	0.417171i
$213$	−24.4803	+	18.6184i	−0.114931	+	0.0874102i
$214$	36.2918	−	62.8593i	0.169588	−	0.293735i
$215$	27.0328	−	15.6074i	0.125734	−	0.0725925i
$216$	28.3157	+	70.9241i	0.131091	+	0.328352i
$217$	254.567	+	276.532i	1.17312	+	1.27434i
$218$		−	196.846i		−	0.902964i
$219$	220.243	−	28.0364i	1.00567	−	0.128020i
$220$	−36.9113	+	63.9322i	−0.167779	+	0.290601i
$221$	53.5139	+	30.8963i	0.242144	+	0.139802i
$222$	−21.3631	−	167.820i	−0.0962302	−	0.755944i
$223$	−63.1688			−0.283268			−0.141634	−	0.989919i	$-0.545236\pi$
$223$	−63.1688			−0.283268			−0.141634	+	0.989919i	$0.545236\pi$
$224$	29.1331	−	26.8191i	0.130059	−	0.119728i
$225$	31.5461	+	32.0912i	0.140205	+	0.142627i
$226$	−52.2535	−	90.5058i	−0.231210	−	0.400468i
$227$	−201.216	−	116.172i	−0.886414	−	0.511771i	−0.0136460	−	0.999907i	$-0.504344\pi$
$227$	−201.216	−	116.172i	−0.886414	−	0.511771i	−0.872768	+	0.488136i	$0.837677\pi$
$228$	−122.511	−	161.083i	−0.537330	−	0.706506i
$229$	−42.0786	−	72.8823i	−0.183749	−	0.318263i	0.759405	−	0.650618i	$-0.225490\pi$
$229$	−42.0786	−	72.8823i	−0.183749	−	0.318263i	−0.943154	+	0.332355i	$0.892157\pi$
$230$		−	36.8274i		−	0.160119i
$231$	−341.265	−	60.8725i	−1.47734	−	0.263518i
$232$	112.114			0.483250
$233$	4.50420	−	2.60050i	0.0193313	−	0.0111610i	−0.490303	−	0.871552i	$-0.663114\pi$
$233$	4.50420	−	2.60050i	0.0193313	−	0.0111610i	0.509635	+	0.860391i	$0.329781\pi$
$234$	41.5544	+	160.572i	0.177583	+	0.686207i
$235$	−11.9193	+	20.6448i	−0.0507203	+	0.0878502i
$236$	−78.5305	+	45.3396i	−0.332756	+	0.192117i
$237$	96.0435	−	229.089i	0.405247	−	0.966622i
$238$	−14.0127	+	44.8014i	−0.0588768	+	0.188241i
$239$		−	108.799i		−	0.455226i	−0.973752	−	0.227613i	$-0.926908\pi$
$239$		−	108.799i		−	0.455226i	0.973752	−	0.227613i	$-0.0730921\pi$
$240$	3.38842	+	26.6180i	0.0141184	+	0.110908i
$241$	40.8755	−	70.7984i	0.169608	−	0.293769i	−0.768674	−	0.639641i	$-0.779083\pi$
$241$	40.8755	−	70.7984i	0.169608	−	0.293769i	0.938282	+	0.345871i	$0.112417\pi$
$242$	185.535	+	107.119i	0.766672	+	0.442639i
$243$	−26.5520	−	241.545i	−0.109267	−	0.994012i
$244$	135.243			0.554276
$245$	109.193	+	9.04745i	0.445686	+	0.0369284i
$246$	103.631	−	247.188i	0.421265	−	1.00483i
$247$	−219.772	−	380.656i	−0.889764	−	1.54112i
$248$	−131.525	−	75.9360i	−0.530343	−	0.306194i
$249$	86.0809	−	65.4684i	0.345706	−	0.262925i
$250$	7.90569	+	13.6931i	0.0316228	+	0.0547723i
$251$		−	135.523i		−	0.539934i	−0.962870	−	0.269967i	$-0.912987\pi$
$251$		−	135.523i		−	0.539934i	0.962870	−	0.269967i	$-0.0870128\pi$
$252$	−112.126	+	57.4788i	−0.444943	+	0.228091i
$253$	−192.241			−0.759845
$254$	19.6441	−	11.3415i	0.0773390	−	0.0446517i
$255$	−19.2559	−	25.3186i	−0.0755135	−	0.0992886i
$256$	−8.00000	+	13.8564i	−0.0312500	+	0.0541266i
$257$	−58.3532	+	33.6903i	−0.227055	+	0.131090i	−0.609213	−	0.793007i	$-0.708515\pi$
$257$	−58.3532	+	33.6903i	−0.227055	+	0.131090i	0.382158	+	0.924097i	$0.375181\pi$
$258$	−54.6200	−	22.8989i	−0.211705	−	0.0887554i
$259$	272.367	−	61.0396i	1.05161	−	0.235674i
$260$			58.2780i			0.224146i
$261$	−343.785	−	95.2804i	−1.31718	−	0.365059i
$262$	−109.204	+	189.147i	−0.416809	+	0.721934i
$263$	−157.676	−	91.0343i	−0.599529	−	0.346138i	0.169327	−	0.985560i	$-0.445840\pi$
$263$	−157.676	−	91.0343i	−0.599529	−	0.346138i	−0.768856	+	0.639422i	$0.779174\pi$
$264$	138.947	−	17.6877i	0.526315	−	0.0669988i
$265$	−197.758			−0.746258
$266$	245.663	−	226.149i	0.923543	−	0.850186i
$267$	−167.849	−	70.3689i	−0.628646	−	0.263554i
$268$	26.8290	+	46.4693i	0.100108	+	0.173393i
$269$	−248.320	−	143.368i	−0.923123	−	0.532965i	−0.0384928	−	0.999259i	$-0.512256\pi$
$269$	−248.320	−	143.368i	−0.923123	−	0.532965i	−0.884630	+	0.466294i	$0.845589\pi$
$270$	12.2312	−	84.5009i	0.0453007	−	0.312966i
$271$	106.436	+	184.353i	0.392754	+	0.680270i	0.992812	−	0.119687i	$-0.0381890\pi$
$271$	106.436	+	184.353i	0.392754	+	0.680270i	−0.600057	+	0.799957i	$0.704856\pi$
$272$		−	18.9673i		−	0.0697328i
$273$	−257.340	+	93.0864i	−0.942638	+	0.340976i
$274$	330.024			1.20447
$275$	71.4784	−	41.2681i	0.259921	−	0.150066i
$276$	−55.6174	+	42.2995i	−0.201512	+	0.153259i
$277$	−21.2223	+	36.7581i	−0.0766148	+	0.132701i	−0.901787	−	0.432180i	$-0.857744\pi$
$277$	−21.2223	+	36.7581i	−0.0766148	+	0.132701i	0.825173	+	0.564881i	$0.191078\pi$
$278$	−161.244	+	93.0940i	−0.580013	+	0.334870i
$279$	338.773	+	344.626i	1.21424	+	1.23522i
$280$	−43.2003	+	9.68153i	−0.154287	+	0.0345769i
$281$			176.941i			0.629683i	0.949144	+	0.314842i	$0.101951\pi$
$281$			176.941i			0.629683i	−0.949144	+	0.314842i	$0.898049\pi$
$282$	44.8684	−	5.71166i	0.159108	−	0.0202541i
$283$	−42.6618	+	73.8924i	−0.150748	+	0.261104i	−0.931503	−	0.363734i	$-0.881502\pi$
$283$	−42.6618	+	73.8924i	−0.150748	+	0.261104i	0.780754	+	0.624838i	$0.214835\pi$
$284$	17.7570	+	10.2520i	0.0625246	+	0.0360986i
$285$	28.5725	+	224.454i	0.100255	+	0.787558i
$286$	304.214			1.06368
$287$	422.067	+	132.011i	1.47062	+	0.459970i
$288$	36.3070	−	35.6903i	0.126066	−	0.123925i
$289$	−133.258	−	230.809i	−0.461099	−	0.798646i
$290$	−108.554	−	62.6736i	−0.374324	−	0.216116i
$291$	33.8264	+	44.4765i	0.116242	+	0.152840i
$292$	−74.0067	−	128.183i	−0.253447	−	0.438984i
$293$			70.3612i			0.240140i	0.992765	+	0.120070i	$0.0383120\pi$
$293$			70.3612i			0.240140i	−0.992765	+	0.120070i	$0.961688\pi$
$294$	−111.754	−	175.297i	−0.380116	−	0.596248i
$295$	101.382			0.343669
$296$	−97.6726	+	56.3913i	−0.329975	+	0.190511i
$297$	−441.098	−	63.8473i	−1.48518	−	0.214974i
$298$	40.5165	−	70.1766i	0.135961	−	0.235492i
$299$	−131.429	+	75.8807i	−0.439563	+	0.253782i
$300$	11.5991	−	27.6670i	0.0386637	−	0.0922232i
$301$	29.1700	−	93.2624i	0.0969101	−	0.309842i
$302$			210.946i			0.698496i
$303$	−8.93599	−	70.1974i	−0.0294917	−	0.231675i
$304$	−67.4593	+	116.843i	−0.221906	+	0.384352i
$305$	−130.949	−	75.6034i	−0.429341	−	0.247880i
$306$	−16.1194	+	58.1612i	−0.0526779	+	0.190069i
$307$	−138.470			−0.451043			−0.225521	−	0.974238i	$-0.572409\pi$
$307$	−138.470			−0.451043			−0.225521	+	0.974238i	$0.572409\pi$
$308$	50.5380	+	225.508i	0.164084	+	0.732167i
$309$	−156.539	+	373.388i	−0.506599	+	1.20837i
$310$	84.8991	+	147.049i	0.273868	+	0.474353i
$311$	−67.0150	−	38.6911i	−0.215482	−	0.124409i	0.388374	−	0.921502i	$-0.373037\pi$
$311$	−67.0150	−	38.6911i	−0.215482	−	0.124409i	−0.603857	+	0.797093i	$0.706370\pi$
$312$	88.0124	−	66.9373i	0.282091	−	0.214543i
$313$	−262.202	−	454.148i	−0.837707	−	1.45095i	−0.891807	−	0.452416i	$-0.850562\pi$
$313$	−262.202	−	454.148i	−0.837707	−	1.45095i	0.0541000	−	0.998536i	$-0.482771\pi$
$314$		−	128.200i		−	0.408279i
$315$	140.697	+	7.02657i	0.446657	+	0.0223066i
$316$	−165.605			−0.524067
$317$	−464.096	+	267.946i	−1.46403	+	0.845256i	−0.999194	−	0.0401431i	$-0.987219\pi$
$317$	−464.096	+	267.946i	−1.46403	+	0.845256i	−0.464832	+	0.885399i	$0.653885\pi$
$318$	227.143	+	298.658i	0.714285	+	0.939175i
$319$	−327.159	+	566.656i	−1.02558	+	1.77635i
$320$	15.4919	−	8.94427i	0.0484123	−	0.0279508i
$321$	141.999	+	59.5317i	0.442365	+	0.185457i
$322$	−78.0827	−	84.8200i	−0.242493	−	0.263416i
$323$		−	159.940i		−	0.495171i
$324$	−141.663	+	78.5848i	−0.437232	+	0.242546i
$325$	32.5784	−	56.4275i	0.100241	−	0.173623i
$326$	−7.03268	−	4.06032i	−0.0215726	−	0.0124550i
$327$	414.231	−	52.7308i	1.26676	−	0.161256i
$328$	−178.688			−0.544781
$329$	16.3196	+	72.8202i	0.0496036	+	0.221338i
$330$	−144.423	−	60.5478i	−0.437645	−	0.183478i
$331$	−274.575	−	475.578i	−0.829531	−	1.43679i	−0.898406	−	0.439165i	$-0.855274\pi$
$331$	−274.575	−	475.578i	−0.829531	−	1.43679i	0.0688751	−	0.997625i	$-0.478059\pi$
$332$	−62.4394	−	36.0494i	−0.188070	−	0.108583i
$333$	347.427	−	89.9104i	1.04332	−	0.270001i
$334$	143.569	+	248.668i	0.429846	+	0.744515i
$335$		−	59.9916i		−	0.179079i
$336$	64.2405	+	54.1217i	0.191192	+	0.161076i
$337$	−100.708			−0.298838			−0.149419	−	0.988774i	$-0.547740\pi$
$337$	−100.708			−0.298838			−0.149419	+	0.988774i	$0.547740\pi$
$338$	0.999924	−	0.577306i	0.00295836	−	0.00170801i
$339$	176.457	−	134.204i	0.520523	−	0.395881i
$340$	−10.6031	+	18.3650i	−0.0311854	+	0.0540148i
$341$	767.605	−	443.177i	2.25104	−	1.29964i
$342$	306.156	−	300.956i	0.895193	−	0.879987i
$343$	270.674	−	210.677i	0.789136	−	0.614219i
$344$			39.4839i			0.114779i
$345$	77.4974	−	9.86526i	0.224630	−	0.0285950i
$346$	170.227	−	294.843i	0.491987	−	0.852146i
$347$	−133.994	−	77.3616i	−0.386150	−	0.222944i	0.294340	−	0.955701i	$-0.404900\pi$
$347$	−133.994	−	77.3616i	−0.386150	−	0.222944i	−0.680491	+	0.732757i	$0.738233\pi$
$348$	30.0329	+	235.926i	0.0863014	+	0.677948i
$349$	537.320			1.53960			0.769799	−	0.638286i	$-0.220356\pi$
$349$	537.320			1.53960			0.769799	+	0.638286i	$0.220356\pi$
$350$	47.2407	+	14.7756i	0.134973	+	0.0422160i
$351$	−326.767	+	130.458i	−0.930961	+	0.371676i
$352$	−46.6895	−	80.8686i	−0.132641	−	0.229740i
$353$	403.207	+	232.792i	1.14223	+	0.659467i	0.946982	−	0.321287i	$-0.104116\pi$
$353$	403.207	+	232.792i	1.14223	+	0.659467i	0.195248	+	0.980754i	$0.437449\pi$
$354$	−116.446	−	153.109i	−0.328945	−	0.432512i
$355$	−11.4621	−	19.8529i	−0.0322875	−	0.0559237i
$356$			121.335i			0.340829i
$357$	−98.0311	−	17.4861i	−0.274597	−	0.0489807i
$358$	82.4116			0.230200
$359$	145.115	−	83.7819i	0.404219	−	0.233376i	−0.284084	−	0.958799i	$-0.591689\pi$
$359$	145.115	−	83.7819i	0.404219	−	0.233376i	0.688303	+	0.725424i	$0.258356\pi$
$360$	−55.1056	+	14.2608i	−0.153071	+	0.0396132i
$361$	−388.345	+	672.633i	−1.07575	+	1.86325i
$362$	−74.0955	+	42.7790i	−0.204684	+	0.118174i
$363$	−175.713	+	419.123i	−0.484058	+	1.15461i
$364$	123.563	+	134.224i	0.339459	+	0.368749i
$365$			165.484i			0.453381i
$366$	36.2287	+	284.598i	0.0989856	+	0.777590i
$367$	257.093	−	445.298i	0.700526	−	1.21335i	−0.267756	−	0.963487i	$-0.586282\pi$
$367$	257.093	−	445.298i	0.700526	−	1.21335i	0.968282	−	0.249860i	$-0.0803846\pi$
$368$	40.3424	+	23.2917i	0.109626	+	0.0632927i
$369$	547.928	+	151.859i	1.48490	+	0.411541i
$370$	126.095			0.340797
$371$	−455.472	+	419.294i	−1.22769	+	1.13017i
$372$	124.562	−	297.115i	0.334845	−	0.798696i
$373$	249.081	+	431.421i	0.667778	+	1.15663i	0.978524	+	0.206132i	$0.0660877\pi$
$373$	249.081	+	431.421i	0.667778	+	1.15663i	−0.310746	+	0.950493i	$0.600579\pi$
$374$	95.8662	+	55.3484i	0.256327	+	0.147990i
$375$	−26.6971	+	20.3043i	−0.0711922	+	0.0541449i
$376$	−15.0768	−	26.1138i	−0.0400980	−	0.0694517i
$377$			516.541i			1.37014i
$378$	−150.991	−	220.553i	−0.399447	−	0.583474i
$379$	536.202			1.41478			0.707390	−	0.706823i	$-0.249872\pi$
$379$	536.202			1.41478			0.707390	+	0.706823i	$0.249872\pi$
$380$	130.634	−	75.4218i	0.343775	−	0.198478i
$381$	29.1286	+	38.2997i	0.0764531	+	0.100524i
$382$	−156.202	+	270.550i	−0.408907	+	0.708247i
$383$	−75.3969	+	43.5304i	−0.196859	+	0.113657i	−0.595189	−	0.803585i	$-0.702923\pi$
$383$	−75.3969	+	43.5304i	−0.196859	+	0.113657i	0.398331	+	0.917242i	$0.369590\pi$
$384$	−31.3016	−	13.1229i	−0.0815146	−	0.0341742i
$385$	77.1293	−	246.598i	0.200336	−	0.640515i
$386$			295.518i			0.765590i
$387$	33.5555	−	121.073i	0.0867068	−	0.312850i
$388$	18.6261	−	32.2613i	0.0480054	−	0.0831478i
$389$	166.320	+	96.0251i	0.427559	+	0.246851i	0.698306	−	0.715799i	$-0.253937\pi$
$389$	166.320	+	96.0251i	0.427559	+	0.246851i	−0.270747	+	0.962650i	$0.587271\pi$
$390$	−122.637	+	15.6114i	−0.314453	+	0.0400292i
$391$	−55.2227			−0.141234
$392$	−78.9708	+	113.893i	−0.201456	+	0.290543i
$393$	−427.282	−	179.134i	−1.08723	−	0.455811i
$394$	55.6175	+	96.3323i	0.141161	+	0.244498i
$395$	160.346	+	92.5760i	0.405940	+	0.234370i
$396$	74.4418	+	287.654i	0.187984	+	0.726398i
$397$	−37.7343	−	65.3578i	−0.0950487	−	0.164629i	0.814580	−	0.580051i	$-0.196967\pi$
$397$	−37.7343	−	65.3578i	−0.0950487	−	0.164629i	−0.909629	+	0.415422i	$0.863634\pi$
$398$			449.042i			1.12825i
$399$	541.703	+	456.377i	1.35765	+	1.14380i
$400$	−20.0000			−0.0500000
$401$	−437.551	+	252.620i	−1.09115	+	0.629975i	−0.933882	−	0.357581i	$-0.883602\pi$
$401$	−437.551	+	252.620i	−1.09115	+	0.629975i	−0.157267	+	0.987556i	$0.550268\pi$
$402$	−90.6002	+	68.9055i	−0.225374	+	0.171407i
$403$	349.859	−	605.973i	0.868136	−	1.50366i
$404$	−40.8556	+	23.5880i	−0.101128	+	0.0583860i
$405$	181.095	+	3.10264i	0.447148	+	0.00766085i
$406$	−382.901	+	85.8112i	−0.943107	+	0.211358i
$407$		−	658.220i		−	1.61725i
$408$	39.9137	−	5.08093i	0.0978276	−	0.0124533i
$409$	32.6240	−	56.5064i	0.0797653	−	0.138157i	−0.823383	−	0.567486i	$-0.807916\pi$
$409$	32.6240	−	56.5064i	0.0797653	−	0.138157i	0.903149	+	0.429328i	$0.141250\pi$
$410$	173.014	+	99.8897i	0.421985	+	0.243633i
$411$	88.4060	+	694.481i	0.215100	+	1.68974i
$412$	269.916			0.655136
$413$	233.501	−	214.954i	0.565379	−	0.520470i
$414$	−103.911	−	105.707i	−0.250993	−	0.255330i
$415$	40.3044	+	69.8094i	0.0971192	+	0.168215i
$416$	−63.8404	−	36.8583i	−0.153462	−	0.0886016i
$417$	−239.095	−	314.373i	−0.573369	−	0.753892i
$418$	−393.705	−	681.917i	−0.941878	−	1.63138i
$419$			215.666i			0.514717i	0.966316	+	0.257358i	$0.0828521\pi$
$419$			215.666i			0.514717i	−0.966316	+	0.257358i	$0.917148\pi$
$420$	−31.9456	−	88.3146i	−0.0760610	−	0.210273i
$421$	578.036			1.37301			0.686504	−	0.727126i	$-0.259145\pi$
$421$	578.036			1.37301			0.686504	+	0.727126i	$0.259145\pi$
$422$	−64.9039	+	37.4723i	−0.153801	+	0.0887969i
$423$	24.0385	+	92.8883i	0.0568287	+	0.219594i
$424$	125.073	−	216.633i	0.294984	−	0.510928i
$425$	20.5327	−	11.8546i	0.0483123	−	0.0278931i
$426$	−16.8170	+	40.1130i	−0.0394764	+	0.0941619i
$427$	−461.895	+	103.514i	−1.08172	+	0.242422i
$428$		−	102.649i		−	0.239834i
$429$	81.4922	+	640.169i	0.189958	+	1.49224i
$430$	22.0722	−	38.2301i	0.0513307	−	0.0889073i
$431$	−582.638	−	336.386i	−1.35183	−	0.780479i	−0.363324	−	0.931663i	$-0.618358\pi$
$431$	−582.638	−	336.386i	−1.35183	−	0.780479i	−0.988506	+	0.151184i	$0.951691\pi$
$432$	84.8304	+	66.8416i	0.196367	+	0.154726i
$433$	−556.662			−1.28559			−0.642797	−	0.766037i	$-0.722226\pi$
$433$	−556.662			−1.28559			−0.642797	+	0.766037i	$0.722226\pi$
$434$	507.316	+	158.675i	1.16893	+	0.365610i
$435$	102.807	−	245.223i	0.236339	−	0.563731i
$436$	−139.191	−	241.086i	−0.319246	−	0.552951i
$437$	340.184	+	196.405i	0.778454	+	0.449440i
$438$	249.916	−	190.073i	0.570585	−	0.433956i
$439$	−51.5205	−	89.2362i	−0.117359	−	0.203271i	0.801361	−	0.598181i	$-0.204109\pi$
$439$	−51.5205	−	89.2362i	−0.117359	−	0.203271i	−0.918720	+	0.394909i	$0.870776\pi$
$440$			104.401i			0.237275i
$441$	338.948	−	282.127i	0.768589	−	0.639743i
$442$	87.3878			0.197710
$443$	−358.259	+	206.841i	−0.808711	+	0.466910i	−0.846508	−	0.532376i	$-0.821299\pi$
$443$	−358.259	+	206.841i	−0.808711	+	0.466910i	0.0377970	+	0.999285i	$0.487966\pi$
$444$	−144.831	−	190.430i	−0.326195	−	0.428897i
$445$	67.8283	−	117.482i	0.152423	−	0.264005i
$446$	−77.3657	+	44.6671i	−0.173466	+	0.100150i
$447$	158.529	+	66.4616i	0.354650	+	0.148684i
$448$	16.7167	−	53.4467i	0.0373141	−	0.119301i
$449$		−	269.779i		−	0.600844i	−0.953806	−	0.300422i	$-0.902873\pi$
$449$		−	269.779i		−	0.600844i	0.953806	−	0.300422i	$-0.0971274\pi$
$450$	61.3278	+	16.9971i	0.136284	+	0.0377713i
$451$	521.428	−	903.141i	1.15616	−	2.00253i
$452$	−127.994	−	73.8977i	−0.283174	−	0.163490i
$453$	−443.901	+	56.5077i	−0.979915	+	0.124741i
$454$	−328.584			−0.723754
$455$	−44.6056	−	199.036i	−0.0980342	−	0.437442i
$456$	−263.948	−	110.658i	−0.578833	−	0.242670i
$457$	319.714	+	553.762i	0.699594	+	1.21173i	0.968607	+	0.248596i	$0.0799691\pi$
$457$	319.714	+	553.762i	0.699594	+	1.21173i	−0.269013	+	0.963136i	$0.586698\pi$
$458$	−103.071	−	59.5082i	−0.225046	−	0.129930i
$459$	−126.709	−	18.3406i	−0.276054	−	0.0399578i
$460$	−26.0409	−	45.1042i	−0.0566107	−	0.0980526i
$461$		−	47.0910i		−	0.102150i	−0.998695	−	0.0510748i	$-0.983735\pi$
$461$		−	47.0910i		−	0.102150i	0.998695	−	0.0510748i	$-0.0162647\pi$
$462$	−461.006	+	166.758i	−0.997849	+	0.360947i
$463$	−171.939			−0.371358			−0.185679	−	0.982610i	$-0.559449\pi$
$463$	−171.939			−0.371358			−0.185679	+	0.982610i	$0.559449\pi$
$464$	137.311	−	79.2766i	0.295929	−	0.170855i
$465$	−286.699	+	218.048i	−0.616558	+	0.468920i
$466$	3.67767	−	6.36991i	0.00789199	−	0.0136693i
$467$	226.163	−	130.575i	0.484289	−	0.279604i	−0.237913	−	0.971286i	$-0.576463\pi$
$467$	226.163	−	130.575i	0.484289	−	0.279604i	0.722202	+	0.691682i	$0.243130\pi$
$468$	164.435	+	167.277i	0.351358	+	0.357429i
$469$	−127.196	−	138.171i	−0.271207	−	0.294608i
$470$			33.7128i			0.0717294i
$471$	269.775	−	34.3418i	0.572771	−	0.0729126i
$472$	−64.1199	+	111.059i	−0.135847	+	0.235294i
$473$	−199.563	−	115.218i	−0.421909	−	0.243589i
$474$	−44.3619	−	348.489i	−0.0935906	−	0.735209i
$475$	−168.648			−0.355049
$476$	14.5174	+	64.7788i	0.0304988	+	0.136090i
$477$	−567.630	+	557.989i	−1.19000	+	1.16979i
$478$	−76.9325	−	133.251i	−0.160947	−	0.278768i
$479$	−529.901	−	305.938i	−1.10626	−	0.638702i	−0.168405	−	0.985718i	$-0.553862\pi$
$479$	−529.901	−	305.938i	−1.10626	−	0.638702i	−0.937859	+	0.347016i	$0.887195\pi$
$480$	22.9717	+	30.2043i	0.0478578	+	0.0629256i
$481$	−259.811	−	450.005i	−0.540147	−	0.935562i
$482$		−	115.613i		−	0.239862i
$483$	157.573	−	187.034i	0.326239	−	0.387234i
$484$	302.977			0.625985
$485$	−36.0693	+	20.8246i	−0.0743696	+	0.0429373i
$486$	−203.317	−	277.056i	−0.418349	−	0.570074i
$487$	−350.587	+	607.234i	−0.719891	+	1.24689i	0.241152	+	0.970487i	$0.422475\pi$
$487$	−350.587	+	607.234i	−0.719891	+	1.24689i	−0.961043	+	0.276400i	$0.910859\pi$
$488$	165.639	−	95.6316i	0.339424	−	0.195966i
$489$	6.66039	−	15.8868i	0.0136204	−	0.0324884i
$490$	140.131	−	66.1304i	0.285982	−	0.134960i
$491$		−	529.606i		−	1.07863i	−0.842105	−	0.539314i	$-0.818684\pi$
$491$		−	529.606i		−	1.07863i	0.842105	−	0.539314i	$-0.181316\pi$
$492$	−47.8666	−	376.020i	−0.0972899	−	0.764269i
$493$	−93.9790	+	162.776i	−0.190627	+	0.330175i
$494$	−538.329	−	310.804i	−1.08973	−	0.629158i
$495$	88.7254	−	320.134i	0.179243	−	0.646735i
$496$	−214.780			−0.433023
$497$	−68.4919	−	21.4224i	−0.137811	−	0.0431035i
$498$	59.1340	−	141.050i	0.118743	−	0.283234i
$499$	−231.489	−	400.950i	−0.463905	−	0.803508i	0.535246	−	0.844696i	$-0.320219\pi$
$499$	−231.489	−	400.950i	−0.463905	−	0.803508i	−0.999151	+	0.0411886i	$0.986886\pi$
$500$	19.3649	+	11.1803i	0.0387298	+	0.0223607i
$501$	−484.823	+	368.730i	−0.967711	+	0.735987i
$502$	−95.8295	−	165.982i	−0.190895	−	0.330641i
$503$			560.538i			1.11439i	0.830382	+	0.557195i	$0.188122\pi$
$503$			560.538i			1.11439i	−0.830382	+	0.557195i	$0.811878\pi$
$504$	−96.6818	+	149.682i	−0.191829	+	0.296988i
$505$	52.7443			0.104444
$506$	−235.446	+	135.935i	−0.465308	+	0.268646i
$507$	1.48271	+	1.94953i	0.00292447	+	0.00384523i
$508$	16.0393	−	27.7810i	0.0315735	−	0.0546869i
$509$	25.1602	−	14.5263i	0.0494307	−	0.0285388i	−0.475081	−	0.879942i	$-0.657581\pi$
$509$	25.1602	−	14.5263i	0.0494307	−	0.0285388i	0.524512	+	0.851403i	$0.324248\pi$
$510$	−41.4866	−	17.3928i	−0.0813462	−	0.0341036i
$511$	350.864	+	381.138i	0.686623	+	0.745868i
$512$			22.6274i			0.0441942i
$513$	715.325	+	563.636i	1.39440	+	1.09871i
$514$	−47.6452	+	82.5239i	−0.0926950	+	0.160552i
$515$	−261.345	−	150.888i	−0.507466	−	0.292986i
$516$	−83.0875	+	10.5769i	−0.161022	+	0.0204978i
$517$	175.982			0.340391
$518$	290.418	−	267.350i	0.560653	−	0.516120i
$519$	666.049	+	279.234i	1.28333	+	0.538024i
$520$	41.2088	+	71.3757i	0.0792477	+	0.137261i
$521$	126.333	+	72.9383i	0.242482	+	0.139997i	0.616317	−	0.787498i	$-0.288624\pi$
$521$	126.333	+	72.9383i	0.242482	+	0.139997i	−0.373835	+	0.927495i	$0.621957\pi$
$522$	−488.423	+	126.399i	−0.935676	+	0.242143i
$523$	75.7372	+	131.181i	0.144813	+	0.250823i	0.929303	−	0.369318i	$-0.120409\pi$
$523$	75.7372	+	131.181i	0.144813	+	0.250823i	−0.784490	+	0.620141i	$0.787075\pi$
$524$			308.875i			0.589457i
$525$	−18.4382	+	103.368i	−0.0351203	+	0.196892i
$526$	−257.484			−0.489513
$527$	220.500	−	127.306i	0.418407	−	0.241567i
$528$	157.668	−	119.913i	0.298613	−	0.227109i
$529$	−196.687	+	340.672i	−0.371809	+	0.643992i
$530$	−242.204	+	139.836i	−0.456988	+	0.263842i
$531$	291.000	−	286.057i	0.548023	−	0.538714i
$532$	140.962	−	450.685i	0.264966	−	0.847152i
$533$		−	823.267i		−	1.54459i
$534$	−255.330	+	32.5030i	−0.478146	+	0.0608670i
$535$	−57.3824	+	99.3893i	−0.107257	+	0.185774i
$536$	65.7175	+	37.9420i	0.122607	+	0.0707873i
$537$	22.0763	+	173.422i	0.0411103	+	0.322946i
$538$	−405.505			−0.753727
$539$	−345.204	−	731.491i	−0.640452	−	1.35713i
$540$	−44.7711	−	112.141i	−0.0829094	−	0.207668i
$541$	−348.184	−	603.072i	−0.643593	−	1.11474i	−0.984625	−	0.174683i	$-0.944110\pi$
$541$	−348.184	−	603.072i	−0.643593	−	1.11474i	0.341032	−	0.940052i	$-0.389224\pi$
$542$	260.715	+	150.524i	0.481024	+	0.277719i
$543$	−109.870	−	144.462i	−0.202339	−	0.266045i
$544$	−13.4119	−	23.2301i	−0.0246543	−	0.0427024i
$545$			311.241i			0.571085i
$546$	−249.354	+	295.974i	−0.456692	+	0.542077i
$547$	507.823			0.928379			0.464189	−	0.885736i	$-0.346346\pi$
$547$	507.823			0.928379			0.464189	+	0.885736i	$0.346346\pi$
$548$	404.195	−	233.362i	0.737581	−	0.425843i
$549$	−589.186	+	152.475i	−1.07320	+	0.277732i
$550$	58.3619	−	101.086i	0.106112	−	0.183792i
$551$	1157.86	−	668.493i	2.10139	−	1.21324i
$552$	−38.2068	+	91.1335i	−0.0692152	+	0.165097i
$553$	565.589	−	126.753i	1.02276	−	0.229209i
$554$			60.0257i			0.108350i
$555$	33.7780	+	265.346i	0.0608613	+	0.478101i
$556$	−131.655	+	228.033i	−0.236789	+	0.410131i
$557$	404.287	+	233.415i	0.725829	+	0.419057i	0.816894	−	0.576788i	$-0.195694\pi$
$557$	404.287	+	233.415i	0.725829	+	0.419057i	−0.0910656	+	0.995845i	$0.529027\pi$
$558$	658.598	+	182.531i	1.18028	+	0.327117i
$559$	−181.914			−0.325427
$560$	−46.0635	+	42.4046i	−0.0822562	+	0.0757226i
$561$	−90.7913	+	216.562i	−0.161838	+	0.386028i
$562$	125.116	+	216.708i	0.222627	+	0.385601i
$563$	−526.179	−	303.790i	−0.934598	−	0.539591i	−0.0463354	−	0.998926i	$-0.514754\pi$
$563$	−526.179	−	303.790i	−0.934598	−	0.539591i	−0.888263	+	0.459335i	$0.848088\pi$
$564$	50.9136	−	38.7221i	0.0902724	−	0.0686562i
$565$	82.6201	+	143.102i	0.146230	+	0.253278i
$566$			120.666i			0.213190i
$567$	423.672	−	376.817i	0.747216	−	0.664581i
$568$	28.9970			0.0510511
$569$	881.930	−	509.182i	1.54996	−	0.894872i	0.551821	−	0.833963i	$-0.313933\pi$
$569$	881.930	−	509.182i	1.54996	−	0.894872i	0.998143	−	0.0609097i	$-0.0194002\pi$
$570$	193.707	+	254.695i	0.339837	+	0.446834i
$571$	58.6765	−	101.631i	0.102761	−	0.177987i	−0.810060	−	0.586347i	$-0.800566\pi$
$571$	58.6765	−	101.631i	0.102761	−	0.177987i	0.912821	+	0.408359i	$0.133899\pi$
$572$	372.584	−	215.112i	0.651371	−	0.376069i
$573$	−611.173	−	256.228i	−1.06662	−	0.447170i
$574$	610.271	−	136.767i	1.06319	−	0.238269i
$575$			58.2293i			0.101268i
$576$	19.2300	−	69.3845i	0.0333854	−	0.120459i
$577$	36.2489	−	62.7850i	0.0628231	−	0.108813i	−0.832903	−	0.553419i	$-0.813323\pi$
$577$	36.2489	−	62.7850i	0.0628231	−	0.108813i	0.895726	+	0.444606i	$0.146656\pi$
$578$	−326.413	−	188.455i	−0.564728	−	0.326046i
$579$	−621.870	+	79.1627i	−1.07404	+	0.136723i
$580$	−177.268			−0.305634
$581$	240.840	+	75.3283i	0.414527	+	0.129653i
$582$	72.8783	+	30.5535i	0.125220	+	0.0524974i
$583$	729.951	+	1264.31i	1.25206	+	2.16863i
$584$	−181.279	−	104.661i	−0.310408	−	0.179214i
$585$	−65.7034	−	253.887i	−0.112313	−	0.433995i
$586$	49.7529	+	86.1745i	0.0849025	+	0.147055i
$587$			283.036i			0.482175i	0.970503	+	0.241087i	$0.0775040\pi$
$587$			283.036i			0.482175i	−0.970503	+	0.241087i	$0.922496\pi$
$588$	−260.824	−	135.672i	−0.443578	−	0.230734i
$589$	−1811.11			−3.07489
$590$	124.168	−	71.6882i	0.210454	−	0.121505i
$591$	−187.817	+	142.843i	−0.317795	+	0.241698i
$592$	−79.7494	+	138.130i	−0.134712	+	0.233328i
$593$	−637.062	+	367.808i	−1.07430	+	0.620250i	−0.929354	−	0.369189i	$-0.879635\pi$
$593$	−637.062	+	367.808i	−1.07430	+	0.620250i	−0.144950	+	0.989439i	$0.546302\pi$
$594$	−585.380	+	233.707i	−0.985488	+	0.393446i
$595$	22.1560	−	70.8373i	0.0372370	−	0.119054i
$596$		−	114.598i		−	0.192278i
$597$	−944.936	+	120.288i	−1.58281	+	0.201488i
$598$	−107.312	+	185.869i	−0.179451	+	0.310818i
$599$	−1.53814	−	0.888046i	−0.00256785	−	0.00148255i	0.498716	−	0.866766i	$-0.333805\pi$
$599$	−1.53814	−	0.888046i	−0.00256785	−	0.00148255i	−0.501283	+	0.865283i	$0.667139\pi$
$600$	−5.35756	−	42.0868i	−0.00892927	−	0.0701446i
$601$	907.480			1.50995			0.754975	−	0.655753i	$-0.227649\pi$
$601$	907.480			1.50995			0.754975	+	0.655753i	$0.227649\pi$
$602$	−30.2207	−	134.849i	−0.0502005	−	0.224001i
$603$	−169.270	−	172.195i	−0.280714	−	0.285564i
$604$	149.161	+	258.355i	0.246956	+	0.427740i
$605$	−293.356	−	169.369i	−0.484886	−	0.279949i
$606$	−60.5814	−	79.6552i	−0.0999693	−	0.131444i
$607$	407.212	+	705.313i	0.670861	+	1.16196i	0.977660	+	0.210191i	$0.0674085\pi$
$607$	407.212	+	705.313i	0.670861	+	1.16196i	−0.306800	+	0.951774i	$0.599258\pi$
$608$			190.804i			0.313822i
$609$	−283.147	−	782.767i	−0.464937	−	1.28533i
$610$	−213.839			−0.350555
$611$	120.314	−	69.4632i	0.196913	−	0.113688i
$612$	21.3840	+	82.6308i	0.0349411	+	0.135018i
$613$	−396.691	+	687.088i	−0.647130	+	1.12086i	0.336675	+	0.941621i	$0.390698\pi$
$613$	−396.691	+	687.088i	−0.647130	+	1.12086i	−0.983805	+	0.179241i	$0.942636\pi$
$614$	−169.591	+	97.9131i	−0.276206	+	0.159468i
$615$	−163.855	+	390.838i	−0.266431	+	0.635510i
$616$	221.354	+	240.453i	0.359341	+	0.390346i
$617$		−	183.602i		−	0.297572i	−0.988869	−	0.148786i	$-0.952463\pi$
$617$		−	183.602i		−	0.297572i	0.988869	−	0.148786i	$-0.0475366\pi$
$618$	72.3046	+	567.995i	0.116998	+	0.919085i
$619$	418.160	−	724.275i	0.675542	−	1.17007i	−0.300768	−	0.953697i	$-0.597243\pi$
$619$	418.160	−	724.275i	0.675542	−	1.17007i	0.976310	−	0.216376i	$-0.0694236\pi$
$620$	207.959	+	120.065i	0.335418	+	0.193654i
$621$	194.607	−	246.981i	0.313377	−	0.397714i
$622$	−109.435			−0.175940
$623$	−92.8689	−	414.394i	−0.149067	−	0.665159i
$624$	60.4608	−	144.215i	0.0968924	−	0.231114i
$625$	−12.5000	−	21.6506i	−0.0200000	−	0.0346410i
$626$	−642.262	−	370.810i	−1.02598	−	0.592348i
$627$	1329.52	−	1011.16i	2.12045	−	1.61269i
$628$	−90.6507	−	157.012i	−0.144348	−	0.250019i
$629$		−	189.079i		−	0.300602i
$630$	177.286	−	90.8820i	0.281407	−	0.144257i
$631$	716.185			1.13500			0.567500	−	0.823373i	$-0.307911\pi$
$631$	716.185			1.13500			0.567500	+	0.823373i	$0.307911\pi$
$632$	−202.824	+	117.100i	−0.320924	+	0.185286i
$633$	−96.2407	−	126.542i	−0.152039	−	0.199908i
$634$	−378.933	+	656.331i	−0.597686	+	1.03522i
$635$	−31.0601	+	17.9325i	−0.0489135	+	0.0282402i
$636$	489.375	+	205.165i	0.769457	+	0.322587i
$637$	−524.737	−	363.841i	−0.823763	−	0.571179i
$638$			925.346i			1.45038i
$639$	−88.9162	−	24.6432i	−0.139149	−	0.0385653i
$640$	12.6491	−	21.9089i	0.0197642	−	0.0342327i
$641$	639.387	+	369.150i	0.997483	+	0.575897i	0.907503	−	0.420046i	$-0.137986\pi$
$641$	639.387	+	369.150i	0.997483	+	0.575897i	0.0899805	+	0.995944i	$0.471320\pi$
$642$	216.008	−	27.4974i	0.336461	−	0.0428308i
$643$	297.932			0.463346			0.231673	−	0.972794i	$-0.425580\pi$
$643$	297.932			0.463346			0.231673	+	0.972794i	$0.425580\pi$
$644$	−155.608	−	48.6701i	−0.241628	−	0.0755746i
$645$	86.3618	+	36.2063i	0.133894	+	0.0561339i
$646$	−113.095	−	195.886i	−0.175069	−	0.303229i
$647$	434.691	+	250.969i	0.671857	+	0.387897i	0.796780	−	0.604270i	$-0.206535\pi$
$647$	434.691	+	250.969i	0.671857	+	0.387897i	−0.124923	+	0.992166i	$0.539868\pi$
$648$	−117.933	+	196.417i	−0.181996	+	0.303113i
$649$	−374.215	−	648.160i	−0.576603	−	0.998706i
$650$		−	92.1457i		−	0.141763i
$651$	−198.007	+	1110.07i	−0.304158	+	1.70518i
$652$	−11.4843			−0.0176140
$653$	393.849	−	227.389i	0.603137	−	0.348222i	−0.167137	−	0.985934i	$-0.553452\pi$
$653$	393.849	−	227.389i	0.603137	−	0.348222i	0.770275	+	0.637712i	$0.220119\pi$
$654$	470.041	−	357.487i	0.718717	−	0.546617i
$655$	172.667	−	299.067i	0.263613	−	0.456591i
$656$	−218.847	+	126.352i	−0.333609	+	0.192609i
$657$	466.924	+	474.992i	0.710691	+	0.722972i
$658$	71.4790	+	77.6465i	0.108631	+	0.118004i
$659$			1249.16i			1.89554i	0.318947	+	0.947772i	$0.396671\pi$
$659$			1249.16i			1.89554i	−0.318947	+	0.947772i	$0.603329\pi$
$660$	−219.695	+	27.9667i	−0.332871	+	0.0423738i
$661$	−568.512	+	984.691i	−0.860078	+	1.48970i	0.0117739	+	0.999931i	$0.496252\pi$
$661$	−568.512	+	984.691i	−0.860078	+	1.48970i	−0.871852	+	0.489769i	$0.837081\pi$
$662$	−672.568	−	388.307i	−1.01596	−	0.586567i
$663$	23.4093	+	183.894i	0.0353081	+	0.277366i
$664$	−101.963			−0.153559
$665$	−388.427	+	357.574i	−0.584100	+	0.537705i
$666$	361.933	−	355.785i	0.543443	−	0.534212i
$667$	−230.811	−	399.776i	−0.346043	−	0.599365i
$668$	351.670	+	203.037i	0.526452	+	0.303947i
$669$	−114.719	−	150.838i	−0.171479	−	0.225468i
$670$	−42.4204	−	73.4744i	−0.0633141	−	0.109663i
$671$			1116.25i			1.66356i
$672$	116.948	+	20.8604i	0.174030	+	0.0310422i
$673$	1033.74			1.53602			0.768008	−	0.640441i	$-0.221248\pi$
$673$	1033.74			1.53602			0.768008	+	0.640441i	$0.221248\pi$
$674$	−123.342	+	71.2116i	−0.183000	+	0.105655i
$675$	−19.3392	+	133.608i	−0.0286507	+	0.197937i
$676$	0.816435	−	1.41411i	0.00120774	−	0.00209187i
$677$	−152.190	+	87.8669i	−0.224801	+	0.129789i	−0.608171	−	0.793806i	$-0.708097\pi$
$677$	−152.190	+	87.8669i	−0.224801	+	0.129789i	0.383371	+	0.923595i	$0.374763\pi$
$678$	121.219	−	289.139i	0.178789	−	0.426459i
$679$	−38.9208	+	124.438i	−0.0573208	+	0.183266i
$680$			29.9900i			0.0441029i
$681$	−88.0205	−	691.453i	−0.129252	−	1.01535i
$682$	626.747	−	1085.56i	0.918983	−	1.59173i
$683$	−933.031	−	538.686i	−1.36608	−	0.788705i	−0.375653	−	0.926760i	$-0.622582\pi$
$683$	−933.031	−	538.686i	−1.36608	−	0.788705i	−0.990425	+	0.138055i	$0.955915\pi$
$684$	162.155	−	585.079i	0.237069	−	0.855378i
$685$	−521.813			−0.761771
$686$	182.535	−	449.421i	0.266086	−	0.655132i
$687$	97.6148	−	232.838i	0.142089	−	0.338919i
$688$	27.9193	+	48.3577i	0.0405804	+	0.0702874i
$689$	998.092	+	576.248i	1.44861	+	0.836355i
$690$	87.9388	−	66.8814i	0.127447	−	0.0969295i
$691$	−311.713	−	539.903i	−0.451104	−	0.781336i	0.547351	−	0.836903i	$-0.315636\pi$
$691$	−311.713	−	539.903i	−0.451104	−	0.781336i	−0.998455	+	0.0555677i	$0.982303\pi$
$692$		−	481.476i		−	0.695774i
$693$	−474.408	−	925.443i	−0.684571	−	1.33541i
$694$	−218.812			−0.315291
$695$	254.948	−	147.195i	0.366832	−	0.211791i
$696$	203.607	+	267.713i	0.292539	+	0.384644i
$697$	149.784	−	259.434i	0.214899	−	0.372216i
$698$	658.080	−	379.943i	0.942808	−	0.544330i
$699$	14.3896	+	6.03270i	0.0205860	+	0.00863047i
$700$	68.3057	−	15.3078i	0.0975796	−	0.0218684i
$701$		−	279.094i		−	0.398136i	−0.979986	−	0.199068i	$-0.936208\pi$
$701$		−	279.094i		−	0.398136i	0.979986	−	0.199068i	$-0.0637915\pi$
$702$	−307.958	+	390.838i	−0.438687	+	0.556749i
$703$	−672.480	+	1164.77i	−0.956586	+	1.65685i
$704$	−114.365	−	66.0289i	−0.162451	−	0.0937911i
$705$	−70.9432	+	9.03092i	−0.100629	+	0.0128098i
$706$	658.434			0.932627
$707$	121.479	−	111.830i	0.171824	−	0.158176i
$708$	−250.882	−	105.180i	−0.354353	−	0.148559i
$709$	−139.413	−	241.471i	−0.196634	−	0.340580i	0.750801	−	0.660528i	$-0.229668\pi$
$709$	−139.413	−	241.471i	−0.196634	−	0.340580i	−0.947435	+	0.319949i	$0.896334\pi$
$710$	−28.0762	−	16.2098i	−0.0395440	−	0.0228307i
$711$	721.456	−	186.705i	1.01471	−	0.262595i
$712$	85.7968	+	148.604i	0.120501	+	0.208714i
$713$			625.323i			0.877031i
$714$	−132.428	+	47.9024i	−0.185473	+	0.0670902i
$715$	−481.004			−0.672733
$716$	100.933	−	58.2738i	0.140968	−	0.0813880i
$717$	259.797	−	197.587i	0.362339	−	0.275575i
$718$	118.486	−	205.223i	0.165022	−	0.285826i
$719$	−831.549	+	480.095i	−1.15653	+	0.667726i	−0.950471	−	0.310813i	$-0.899399\pi$
$719$	−831.549	+	480.095i	−1.15653	+	0.667726i	−0.206064	+	0.978539i	$0.566065\pi$
$720$	−57.4065	+	56.4314i	−0.0797312	+	0.0783769i
$721$	−921.840	+	206.592i	−1.27856	+	0.286535i
$722$			1098.41i			1.52134i
$723$	243.290	−	30.9703i	0.336500	−	0.0428358i
$724$	−60.4987	+	104.787i	−0.0835617	+	0.144733i
$725$	171.639	+	99.0957i	0.236743	+	0.136684i
$726$	81.1609	+	637.566i	0.111792	+	0.878190i
$727$	−929.586			−1.27866			−0.639330	−	0.768932i	$-0.720788\pi$
$727$	−929.586			−1.27866			−0.639330	+	0.768932i	$0.720788\pi$
$728$	246.244	+	77.0185i	0.338247	+	0.105795i
$729$	528.555	−	502.066i	0.725042	−	0.688705i
$730$	117.015	+	202.676i	0.160294	+	0.277638i
$731$	−57.3260	−	33.0972i	−0.0784214	−	0.0452766i
$732$	245.612	+	322.942i	0.335536	+	0.441178i
$733$	−319.532	−	553.446i	−0.435924	−	0.755043i	0.561446	−	0.827513i	$-0.310245\pi$
$733$	−319.532	−	553.446i	−0.435924	−	0.755043i	−0.997371	+	0.0724704i	$0.976912\pi$
$734$		−	727.169i		−	0.990694i
$735$	176.699	+	277.169i	0.240407	+	0.377100i
$736$	65.8789			0.0895094
$737$	−383.539	+	221.437i	−0.520406	+	0.300457i
$738$	778.452	−	201.455i	1.05481	−	0.272974i
$739$	110.019	−	190.559i	0.148876	−	0.257861i	−0.781936	−	0.623358i	$-0.785768\pi$
$739$	110.019	−	190.559i	0.148876	−	0.257861i	0.930812	+	0.365497i	$0.119101\pi$
$740$	154.434	−	89.1625i	0.208695	−	0.120490i
$741$	509.831	−	1216.08i	0.688031	−	1.64114i
$742$	−261.352	+	835.595i	−0.352226	+	1.12614i
$743$			1197.13i			1.61122i	0.592449	+	0.805608i	$0.298161\pi$
$743$			1197.13i			1.61122i	−0.592449	+	0.805608i	$0.701839\pi$
$744$	−57.5347	−	451.969i	−0.0773316	−	0.607485i
$745$	−64.0622	+	110.959i	−0.0859895	+	0.148938i
$746$	610.122	+	352.254i	0.817858	+	0.472190i
$747$	312.659	+	86.6537i	0.418552	+	0.116002i
$748$	156.549			0.209290
$749$	78.5666	+	350.575i	0.104895	+	0.468058i
$750$	−18.3398	+	43.7453i	−0.0244530	+	0.0583271i
$751$	265.881	+	460.520i	0.354036	+	0.613209i	0.986953	−	0.161011i	$-0.0514756\pi$
$751$	265.881	+	460.520i	0.354036	+	0.613209i	−0.632916	+	0.774220i	$0.718142\pi$
$752$	−36.9305	−	21.3219i	−0.0491098	−	0.0283535i
$753$	323.611	−	246.121i	0.429762	−	0.326853i
$754$	365.250	+	632.631i	0.484416	+	0.839033i
$755$		−	333.535i		−	0.441768i
$756$	−340.880	−	163.355i	−0.450900	−	0.216078i
$757$	628.463			0.830202			0.415101	−	0.909775i	$-0.363746\pi$
$757$	628.463			0.830202			0.415101	+	0.909775i	$0.363746\pi$
$758$	656.710	−	379.152i	0.866372	−	0.500200i
$759$	−349.124	−	459.044i	−0.459978	−	0.604801i
$760$	106.663	−	184.745i	0.140345	−	0.243085i
$761$	−1065.74	+	615.303i	−1.40044	+	0.808546i	−0.994438	−	0.105326i	$-0.966412\pi$
$761$	−1065.74	+	615.303i	−1.40044	+	0.808546i	−0.406004	+	0.913871i	$0.633078\pi$
$762$	62.7571	+	26.3103i	0.0823585	+	0.0345280i
$763$	659.904	+	716.843i	0.864881	+	0.939506i
$764$			441.807i			0.578282i
$765$	25.4871	−	91.9609i	0.0333164	−	0.120210i
$766$	−61.5613	+	106.627i	−0.0803673	+	0.139200i
$767$	−511.680	−	295.418i	−0.667118	−	0.385161i
$768$	−47.6157	+	6.06139i	−0.0619997	+	0.00789243i
$769$	−156.101			−0.202992			−0.101496	−	0.994836i	$-0.532363\pi$
$769$	−156.101			−0.202992			−0.101496	+	0.994836i	$0.532363\pi$
$770$	−79.9076	−	356.559i	−0.103776	−	0.463063i
$771$	−186.421	−	78.1553i	−0.241792	−	0.101369i
$772$	208.963	+	361.934i	0.270677	+	0.468826i
$773$	101.425	+	58.5576i	0.131209	+	0.0757537i	0.564168	−	0.825660i	$-0.309197\pi$
$773$	101.425	+	58.5576i	0.131209	+	0.0757537i	−0.432959	+	0.901414i	$0.642530\pi$
$774$	−44.5146	−	172.011i	−0.0575125	−	0.222236i
$775$	−134.237	−	232.506i	−0.173209	−	0.300007i
$776$		−	52.6825i		−	0.0678899i
$777$	640.392	+	539.521i	0.824186	+	0.694365i
$778$	271.600			0.349100
$779$	−1845.41	+	1065.45i	−2.36895	+	1.36771i
$780$	−139.160	+	105.837i	−0.178410	+	0.135689i
$781$	−84.6160	+	146.559i	−0.108343	+	0.187656i
$782$	−67.6337	+	39.0483i	−0.0864881	+	0.0499339i
$783$	−396.823	−	993.947i	−0.506799	−	1.26941i
$784$	−16.1846	+	195.331i	−0.0206436	+	0.249146i
$785$			202.701i			0.258218i
$786$	−649.978	+	82.7409i	−0.826944	+	0.105268i
$787$	148.414	−	257.061i	0.188582	−	0.326634i	−0.756196	−	0.654346i	$-0.772944\pi$
$787$	148.414	−	257.061i	0.188582	−	0.326634i	0.944778	+	0.327712i	$0.106278\pi$
$788$	136.234	+	78.6550i	0.172886	+	0.0998160i
$789$	−68.9743	−	541.833i	−0.0874199	−	0.686734i
$790$	261.845			0.331449
$791$	493.698	+	154.416i	0.624145	+	0.195216i
$792$	294.574	+	299.664i	0.371937	+	0.378364i
$793$	440.602	+	763.144i	0.555614	+	0.962351i
$794$	−92.4299	−	53.3644i	−0.116410	−	0.0672096i
$795$	−359.144	−	472.219i	−0.451753	−	0.593987i
$796$	317.521	+	549.962i	0.398895	+	0.690907i
$797$			52.2485i			0.0655565i	0.999463	+	0.0327782i	$0.0104355\pi$
$797$			52.2485i			0.0655565i	−0.999463	+	0.0327782i	$0.989564\pi$
$798$	986.154	+	175.903i	1.23578	+	0.220430i
$799$	50.5523			0.0632695
$800$	−24.4949	+	14.1421i	−0.0306186	+	0.0176777i
$801$	−136.795	−	528.594i	−0.170780	−	0.659918i
$802$	−357.259	+	618.790i	−0.445460	+	0.771559i
$803$	1057.98	−	610.822i	1.31753	−	0.760675i
$804$	−62.2386	+	148.456i	−0.0774111	+	0.184646i
$805$	123.460	+	134.112i	0.153366	+	0.166599i
$806$		−	989.550i		−	1.22773i
$807$	−108.626	−	853.320i	−0.134605	−	1.05740i
$808$	−33.3584	+	57.7785i	−0.0412852	+	0.0715080i
$809$	1262.80	+	729.080i	1.56094	+	0.901211i	0.997162	+	0.0752871i	$0.0239873\pi$
$809$	1262.80	+	729.080i	1.56094	+	0.901211i	0.563781	+	0.825924i	$0.309346\pi$
$810$	223.989	−	124.254i	0.276530	−	0.153399i
$811$	1159.91			1.43022			0.715112	−	0.699010i	$-0.246376\pi$
$811$	1159.91			1.43022			0.715112	+	0.699010i	$0.246376\pi$
$812$	−408.279	+	375.849i	−0.502806	+	0.462868i
$813$	−246.913	+	588.954i	−0.303706	+	0.724421i
$814$	−465.432	−	806.152i	−0.571784	−	0.990359i
$815$	11.1196	+	6.41993i	0.0136437	+	0.00787721i
$816$	45.2913	−	34.4461i	0.0555040	−	0.0422133i
$817$	235.428	+	407.772i	0.288161	+	0.499110i
$818$		−	92.2746i		−	0.112805i
$819$	−689.626	−	445.440i	−0.842034	−	0.543883i
$820$	282.531			0.344550
$821$	493.399	−	284.864i	0.600973	−	0.346972i	−0.168451	−	0.985710i	$-0.553877\pi$
$821$	493.399	−	284.864i	0.600973	−	0.346972i	0.769424	+	0.638738i	$0.220543\pi$
$822$	599.347	+	788.050i	0.729133	+	0.958698i
$823$	755.399	−	1308.39i	0.917861	−	1.58978i	0.115203	−	0.993342i	$-0.463248\pi$
$823$	755.399	−	1308.39i	0.917861	−	1.58978i	0.802658	−	0.596439i	$-0.203418\pi$
$824$	330.578	−	190.859i	0.401187	−	0.231626i
$825$	228.352	+	95.7345i	0.276791	+	0.116042i
$826$	133.984	−	428.375i	0.162208	−	0.518613i
$827$		−	1120.12i		−	1.35444i	−0.735782	−	0.677218i	$-0.763185\pi$
$827$		−	1120.12i		−	1.35444i	0.735782	−	0.677218i	$-0.236815\pi$
$828$	−202.010	−	55.9874i	−0.243974	−	0.0676177i
$829$	−216.344	+	374.718i	−0.260970	+	0.452013i	−0.966500	−	0.256667i	$-0.917376\pi$
$829$	−216.344	+	374.718i	−0.260970	+	0.452013i	0.705530	+	0.708680i	$0.250709\pi$
$830$	98.7253	+	56.9991i	0.118946	+	0.0686736i
$831$	−126.314	+	16.0796i	−0.152003	+	0.0193497i
$832$	−104.251			−0.125302
$833$	−99.1624	−	210.127i	−0.119043	−	0.252253i
$834$	−515.126	−	215.961i	−0.617657	−	0.258946i
$835$	−227.002	−	393.179i	−0.271859	−	0.470873i
$836$	−964.377	−	556.783i	−1.15356	−	0.666008i
$837$	−207.683	+	1434.81i	−0.248128	+	1.71423i
$838$	152.499	+	264.136i	0.181980	+	0.315198i
$839$		−	165.530i		−	0.197294i	−0.995122	−	0.0986470i	$-0.968549\pi$
$839$		−	165.530i		−	0.197294i	0.995122	−	0.0986470i	$-0.0314515\pi$
$840$	−101.573	−	85.5739i	−0.120920	−	0.101874i
$841$	−730.194			−0.868244
$842$	707.947	−	408.733i	0.840792	−	0.485431i
$843$	−422.510	+	321.338i	−0.501199	+	0.381184i
$844$	−52.9938	+	91.7880i	−0.0627889	+	0.108754i
$845$	−1.58102	+	0.912802i	−0.00187103	+	0.00108024i
$846$	95.1230	+	96.7667i	0.112439	+	0.114381i
$847$	−1034.75	+	231.896i	−1.22167	+	0.273785i
$848$		−	353.761i		−	0.417171i
$849$	−253.922	+	32.3237i	−0.299083	+	0.0380727i
$850$	16.7649	−	29.0377i	0.0197234	−	0.0341619i
$851$	402.160	+	232.187i	0.472574	+	0.272841i
$852$	7.76766	+	61.0195i	0.00911697	+	0.0716192i
$853$	−380.820			−0.446448			−0.223224	−	0.974767i	$-0.571658\pi$
$853$	−380.820			−0.446448			−0.223224	+	0.974767i	$0.571658\pi$
$854$	−492.508	+	453.388i	−0.576707	+	0.530899i
$855$	−484.075	+	475.853i	−0.566170	+	0.556553i
$856$	−72.5837	−	125.719i	−0.0847940	−	0.146868i
$857$	−358.444	−	206.948i	−0.418254	−	0.241479i	0.276076	−	0.961136i	$-0.410966\pi$
$857$	−358.444	−	206.948i	−0.418254	−	0.241479i	−0.694330	+	0.719657i	$0.744299\pi$
$858$	552.475	+	726.420i	0.643910	+	0.846643i
$859$	55.1633	+	95.5456i	0.0642180	+	0.111229i	0.896347	−	0.443354i	$-0.146211\pi$
$859$	55.1633	+	95.5456i	0.0642180	+	0.111229i	−0.832129	+	0.554582i	$0.812878\pi$
$860$		−	62.4296i		−	0.0725925i
$861$	451.281	+	1247.58i	0.524136	+	1.44899i
$862$	−951.445			−1.10376
$863$	−505.715	+	291.974i	−0.585996	+	0.338325i	−0.763513	−	0.645793i	$-0.776527\pi$
$863$	−505.715	+	291.974i	−0.585996	+	0.338325i	0.177517	+	0.984118i	$0.443194\pi$
$864$	151.160	+	21.8798i	0.174953	+	0.0253239i
$865$	−269.153	+	466.187i	−0.311160	+	0.538944i
$866$	−681.769	+	393.620i	−0.787262	+	0.454526i
$867$	309.133	−	737.366i	0.356555	−	0.850480i
$868$	733.533	−	164.391i	0.845085	−	0.189390i
$869$		−	1366.84i		−	1.57289i
$870$	−47.4861	−	373.031i	−0.0545818	−	0.428772i
$871$	−174.810	+	302.779i	−0.200700	+	0.347622i
$872$	−340.948	−	196.846i	−0.390995	−	0.225741i
$873$	−44.7724	+	161.545i	−0.0512857	+	0.185046i
$874$	555.518			0.635605
$875$	−74.6941	−	23.3623i	−0.0853646	−	0.0266998i
$876$	171.682	−	409.508i	0.195984	−	0.467475i
$877$	409.322	+	708.966i	0.466730	+	0.808399i	0.999278	−	0.0380003i	$-0.0120988\pi$
$877$	409.322	+	708.966i	0.466730	+	0.808399i	−0.532548	+	0.846400i	$0.678765\pi$
$878$	−126.199	−	72.8610i	−0.143735	−	0.0829852i
$879$	−168.013	+	127.781i	−0.191141	+	0.145371i
$880$	73.8226	+	127.864i	0.0838893	+	0.145300i
$881$		−	657.154i		−	0.745918i	−0.927848	−	0.372959i	$-0.878343\pi$
$881$		−	657.154i		−	0.745918i	0.927848	−	0.372959i	$-0.121657\pi$
$882$	215.631	−	585.205i	0.244479	−	0.663498i
$883$	−1178.26			−1.33439			−0.667194	−	0.744884i	$-0.732505\pi$
$883$	−1178.26			−1.33439			−0.667194	+	0.744884i	$0.732505\pi$
$884$	107.028	−	61.7925i	0.121072	−	0.0699010i
$885$	184.118	+	242.087i	0.208043	+	0.273545i
$886$	−292.517	+	506.655i	−0.330155	+	0.571845i
$887$	−740.300	+	427.412i	−0.834611	+	0.481863i	−0.855429	−	0.517921i	$-0.826706\pi$
$887$	−740.300	+	427.412i	−0.834611	+	0.481863i	0.0208180	+	0.999783i	$0.493373\pi$
$888$	−312.035	−	130.818i	−0.351391	−	0.147317i
$889$	−33.5156	+	107.156i	−0.0377004	+	0.120536i
$890$		−	191.848i		−	0.215559i
$891$	−648.609	−	1169.23i	−0.727956	−	1.31227i
$892$	−63.1688	+	109.412i	−0.0708170	+	0.122659i
$893$	−311.414	−	179.795i	−0.348728	−	0.201338i
$894$	241.153	−	30.6982i	0.269746	−	0.0343381i
$895$	−130.304			−0.145591
$896$	−17.3189	−	77.2791i	−0.0193291	−	0.0862490i
$897$	−419.878	−	176.030i	−0.468091	−	0.196243i
$898$	−190.762	−	330.410i	−0.212430	−	0.367940i
$899$	1843.23	+	1064.19i	2.05031	+	1.18374i
$900$	87.1297	−	22.5482i	0.0968107	−	0.0250536i
$901$	209.684	+	363.184i	0.232724	+	0.403090i
$902$		−	1474.82i		−	1.63506i
$903$	275.672	−	99.7176i	0.305285	−	0.110429i
$904$	−209.014			−0.231210
$905$	117.155	−	67.6396i	0.129453	−	0.0747399i
$906$	−503.709	+	383.093i	−0.555970	+	0.422840i
$907$	205.604	−	356.116i	0.226685	−	0.392630i	−0.730138	−	0.683299i	$-0.760544\pi$
$907$	205.604	−	356.116i	0.226685	−	0.392630i	0.956824	+	0.290669i	$0.0938778\pi$
$908$	−402.432	+	232.344i	−0.443207	+	0.255886i
$909$	151.393	−	148.822i	0.166549	−	0.163720i
$910$	−195.370	−	212.228i	−0.214693	−	0.233217i
$911$			483.036i			0.530226i	0.964217	+	0.265113i	$0.0854093\pi$
$911$			483.036i			0.530226i	−0.964217	+	0.265113i	$0.914591\pi$
$912$	−401.516	+	51.1121i	−0.440259	+	0.0560440i
$913$	297.538	−	515.350i	0.325890	−	0.564458i
$914$	783.137	+	452.145i	0.856824	+	0.494688i
$915$	−57.2827	−	449.989i	−0.0626040	−	0.491791i
$916$	−168.315			−0.183749
$917$	−236.411	−	1054.90i	−0.257809	−	1.15038i
$918$	−168.155	+	67.1341i	−0.183175	+	0.0731308i
$919$	−575.329	−	996.499i	−0.626038	−	1.08433i	−0.988339	−	0.152269i	$-0.951342\pi$
$919$	−575.329	−	996.499i	−0.626038	−	1.08433i	0.362301	−	0.932061i	$-0.381991\pi$
$920$	−63.7870	−	36.8274i	−0.0693337	−	0.0400298i
$921$	−251.472	−	330.647i	−0.273042	−	0.359009i
$922$	−33.2983	−	57.6744i	−0.0361153	−	0.0625536i
$923$			133.597i			0.144743i
$924$	−446.700	+	530.216i	−0.483441	+	0.573827i
$925$	−199.373			−0.215539
$926$	−210.581	+	121.579i	−0.227410	+	0.131295i
$927$	−1175.88	+	304.307i	−1.26848	+	0.328270i
$928$	112.114	−	194.187i	0.120812	−	0.209253i
$929$	−721.483	+	416.548i	−0.776623	+	0.448383i	−0.835232	−	0.549898i	$-0.814667\pi$
$929$	−721.483	+	416.548i	−0.776623	+	0.448383i	0.0586092	+	0.998281i	$0.481333\pi$
$930$	−196.951	+	469.780i	−0.211775	+	0.505140i
$931$	−136.475	+	1647.11i	−0.146590	+	1.76918i
$932$		−	10.4020i		−	0.0111610i
$933$	−29.3152	−	230.288i	−0.0314204	−	0.246826i
$934$	184.661	−	319.843i	0.197710	−	0.342444i
$935$	−151.578	−	87.5135i	−0.162115	−	0.0935973i
$936$	319.674	+	88.5980i	0.341532	+	0.0946559i
$937$	1605.03			1.71295			0.856474	−	0.516191i	$-0.172650\pi$
$937$	1605.03			1.71295			0.856474	+	0.516191i	$0.172650\pi$
$938$	−253.484	−	79.2831i	−0.270239	−	0.0845236i
$939$	608.262	−	1450.87i	0.647777	−	1.54512i
$940$	23.8386	+	41.2896i	0.0253602	+	0.0439251i
$941$	256.092	+	147.855i	0.272149	+	0.157125i	0.629864	−	0.776706i	$-0.283111\pi$
$941$	256.092	+	147.855i	0.272149	+	0.157125i	−0.357715	+	0.933831i	$0.616444\pi$
$942$	306.122	−	232.820i	0.324971	−	0.247155i
$943$	367.868	+	637.166i	0.390104	+	0.675680i
$944$			181.358i			0.192117i
$945$	238.738	+	348.725i	0.252632	+	0.369022i
$946$	−325.885			−0.344487
$947$	148.573	−	85.7787i	0.156888	−	0.0905794i	−0.419501	−	0.907755i	$-0.637795\pi$
$947$	148.573	−	85.7787i	0.156888	−	0.0905794i	0.576389	+	0.817176i	$0.304461\pi$
$948$	−300.751	−	395.442i	−0.317248	−	0.417133i
$949$	482.204	−	835.202i	0.508118	−	0.880086i
$950$	−206.551	+	119.252i	−0.217422	+	0.125529i
$951$	−1482.65	−	621.587i	−1.55904	−	0.653614i
$952$	63.5857	+	69.0721i	0.0667917	+	0.0725548i
$953$		−	228.389i		−	0.239653i	−0.992795	−	0.119826i	$-0.961766\pi$
$953$		−	228.389i		−	0.239653i	0.992795	−	0.119826i	$-0.0382338\pi$
$954$	−300.645	+	1084.77i	−0.315141	+	1.13707i
$955$	246.978	−	427.778i	0.258615	−	0.447935i
$956$	−188.445	−	108.799i	−0.197119	−	0.113806i
$957$	−1947.24	+	247.880i	−2.03473	+	0.259017i
$958$	−865.324			−0.903261
$959$	−1201.83	+	1106.36i	−1.25321	+	1.15367i
$960$	49.4922	+	20.7491i	0.0515543	+	0.0216136i
$961$	−961.070	−	1664.62i	−1.00007	−	1.73218i
$962$	−636.404	−	367.428i	−0.661542	−	0.381942i
$963$	115.728	+	447.188i	0.120174	+	0.464370i
$964$	−81.7510	−	141.597i	−0.0848039	−	0.146885i
$965$		−	467.255i		−	0.484202i
$966$	60.7343	−	340.490i	0.0628719	−	0.352474i
$967$	736.457			0.761589			0.380795	−	0.924660i	$-0.375651\pi$
$967$	736.457			0.761589			0.380795	+	0.924660i	$0.375651\pi$
$968$	371.069	−	214.237i	0.383336	−	0.221319i
$969$	381.915	−	290.463i	0.394133	−	0.299756i
$970$	−29.4504	+	51.0097i	−0.0303613	+	0.0525873i
$971$	919.986	−	531.154i	0.947462	−	0.547017i	0.0551704	−	0.998477i	$-0.482430\pi$
$971$	919.986	−	531.154i	0.947462	−	0.547017i	0.892292	+	0.451460i	$0.149096\pi$
$972$	−444.920	−	195.556i	−0.457737	−	0.201189i
$973$	275.104	−	879.565i	0.282738	−	0.903972i
$974$			991.609i			1.01808i
$975$	193.906	−	24.6838i	0.198878	−	0.0253167i
$976$	135.243	−	234.249i	0.138569	−	0.240009i
$977$	184.404	+	106.466i	0.188745	+	0.108972i	0.591395	−	0.806382i	$-0.298577\pi$
$977$	184.404	+	106.466i	0.188745	+	0.108972i	−0.402650	+	0.915354i	$0.631911\pi$
$978$	−3.07640	−	24.1669i	−0.00314560	−	0.0247105i
$979$	−1001.45			−1.02293
$980$	124.864	−	180.081i	0.127412	−	0.183756i
$981$	878.188	+	893.363i	0.895197	+	0.910666i
$982$	−374.488	−	648.633i	−0.381353	−	0.660522i
$983$	1548.29	+	893.907i	1.57507	+	0.909366i	0.995533	+	0.0944186i	$0.0300992\pi$
$983$	1548.29	+	893.907i	1.57507	+	0.909366i	0.579535	+	0.814947i	$0.303234\pi$
$984$	−324.511	−	426.682i	−0.329788	−	0.433620i
$985$	−87.9390	−	152.315i	−0.0892781	−	0.154634i
$986$			265.813i			0.269587i
$987$	−144.247	+	171.216i	−0.146147	+	0.173471i
$988$	−879.087			−0.889764
$989$	140.792	−	81.2862i	0.142358	−	0.0821903i
$990$	−117.703	−	454.821i	−0.118892	−	0.459415i
$991$	−326.132	+	564.877i	−0.329094	+	0.570007i	−0.982332	−	0.187145i	$-0.940077\pi$
$991$	−326.132	+	564.877i	−0.329094	+	0.570007i	0.653239	+	0.757152i	$0.273410\pi$
$992$	−263.050	+	151.872i	−0.265171	+	0.153097i
$993$	636.964	−	1519.33i	0.641454	−	1.53004i
$994$	−99.0331	+	22.1941i	−0.0996309	+	0.0223281i
$995$		−	709.998i		−	0.713566i
$996$	−27.3137	−	214.565i	−0.0274234	−	0.215427i
$997$	48.7416	−	84.4229i	0.0488882	−	0.0846769i	−0.840546	−	0.541741i	$-0.817766\pi$
$997$	48.7416	−	84.4229i	0.0488882	−	0.0846769i	0.889434	+	0.457064i	$0.151099\pi$
$998$	−567.029	−	327.375i	−0.568166	−	0.328031i
$999$	845.646	+	666.322i	0.846493	+	0.666989i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.3.s.a.11.17	yes	40
3.2	odd	2	inner	210.3.s.a.11.1	✓	40
7.2	even	3	inner	210.3.s.a.191.1	yes	40
21.2	odd	6	inner	210.3.s.a.191.17	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.3.s.a.11.1	✓	40	3.2	odd	2	inner
210.3.s.a.11.17	yes	40	1.1	even	1	trivial
210.3.s.a.191.1	yes	40	7.2	even	3	inner
210.3.s.a.191.17	yes	40	21.2	odd	6	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:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	210.s (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.22474 - 0.707107i) q^{2} +(1.81607 + 2.38786i) q^{3} +(1.00000 - 1.73205i) q^{4} +(-1.93649 + 1.11803i) q^{5} +(3.91270 + 1.64036i) q^{6} +(-2.08959 + 6.68084i) q^{7} -2.82843i q^{8} +(-2.40375 + 8.67306i) q^{9} +O(q^{10})\)	\(q+(1.22474 - 0.707107i) q^{2} +(1.81607 + 2.38786i) q^{3} +(1.00000 - 1.73205i) q^{4} +(-1.93649 + 1.11803i) q^{5} +(3.91270 + 1.64036i) q^{6} +(-2.08959 + 6.68084i) q^{7} -2.82843i q^{8} +(-2.40375 + 8.67306i) q^{9} +(-1.58114 + 2.73861i) q^{10} +(14.2957 + 8.25361i) q^{11} +(5.95197 - 0.757673i) q^{12} +13.0314 q^{13} +(2.16486 + 9.65989i) q^{14} +(-6.18652 - 2.59364i) q^{15} +(-2.00000 - 3.46410i) q^{16} +(4.10654 + 2.37091i) q^{17} +(3.18880 + 12.3220i) q^{18} +(-16.8648 - 29.2107i) q^{19} +4.47214i q^{20} +(-19.7478 + 7.14326i) q^{21} +23.3447 q^{22} +(-10.0856 + 5.82293i) q^{23} +(6.75389 - 5.13663i) q^{24} +(2.50000 - 4.33013i) q^{25} +(15.9601 - 9.21457i) q^{26} +(-25.0754 + 10.0111i) q^{27} +(9.48197 + 10.3001i) q^{28} +39.6383i q^{29} +(-9.41089 + 1.19799i) q^{30} +(26.8474 - 46.5011i) q^{31} +(-4.89898 - 2.82843i) q^{32} +(6.25354 + 49.1252i) q^{33} +6.70596 q^{34} +(-3.42294 - 15.2736i) q^{35} +(12.6184 + 12.8365i) q^{36} +(-19.9373 - 34.5325i) q^{37} +(-41.3102 - 23.8505i) q^{38} +(23.6659 + 31.1171i) q^{39} +(3.16228 + 5.47723i) q^{40} -63.1758i q^{41} +(-19.1349 + 22.7124i) q^{42} -13.9597 q^{43} +(28.5914 - 16.5072i) q^{44} +(-5.04194 - 19.4828i) q^{45} +(-8.23487 + 14.2632i) q^{46} +(9.23264 - 5.33046i) q^{47} +(4.63964 - 11.0668i) q^{48} +(-40.2673 - 27.9204i) q^{49} -7.07107i q^{50} +(1.79638 + 14.1116i) q^{51} +(13.0314 - 22.5710i) q^{52} +(76.5915 + 44.2201i) q^{53} +(-23.6321 + 29.9921i) q^{54} -36.9113 q^{55} +(18.8963 + 5.91024i) q^{56} +(39.1234 - 93.3197i) q^{57} +(28.0285 + 48.5468i) q^{58} +(-39.2652 - 22.6698i) q^{59} +(-10.6788 + 8.12173i) q^{60} +(33.8109 + 58.5621i) q^{61} -75.9360i q^{62} +(-52.9205 - 34.1822i) q^{63} -8.00000 q^{64} +(-25.2351 + 14.5695i) q^{65} +(42.3958 + 55.7440i) q^{66} +(-13.4145 + 23.2346i) q^{67} +(8.21309 - 4.74183i) q^{68} +(-32.2206 - 13.5081i) q^{69} +(-14.9923 - 16.2859i) q^{70} +10.2520i q^{71} +(24.5311 + 6.79883i) q^{72} +(37.0033 - 64.0916i) q^{73} +(-48.8363 - 28.1957i) q^{74} +(14.8799 - 1.89418i) q^{75} -67.4593 q^{76} +(-85.0131 + 78.2605i) q^{77} +(50.9878 + 21.3761i) q^{78} +(-41.4013 - 71.7091i) q^{79} +(7.74597 + 4.47214i) q^{80} +(-69.4440 - 41.6957i) q^{81} +(-44.6720 - 77.3742i) q^{82} -36.0494i q^{83} +(-7.37526 + 41.3474i) q^{84} -10.6031 q^{85} +(-17.0970 + 9.87098i) q^{86} +(-94.6507 + 71.9861i) q^{87} +(23.3447 - 40.4343i) q^{88} +(-52.5396 + 30.3338i) q^{89} +(-19.9515 - 20.2962i) q^{90} +(-27.2302 + 87.0605i) q^{91} +23.2917i q^{92} +(159.795 - 20.3416i) q^{93} +(7.53842 - 13.0569i) q^{94} +(65.3172 + 37.7109i) q^{95} +(-2.14302 - 16.8347i) q^{96} +18.6261 q^{97} +(-69.0598 - 5.72211i) q^{98} +(-105.947 + 104.148i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q + 40 q^{4} - 8 q^{6} + 20 q^{7} - 4 q^{9}+O(q^{10}) \) 40 * q + 40 * q^4 - 8 * q^6 + 20 * q^7 - 4 * q^9	\( 40 q + 40 q^{4} - 8 q^{6} + 20 q^{7} - 4 q^{9} + 136 q^{13} + 40 q^{15} - 80 q^{16} + 16 q^{18} - 140 q^{19} + 36 q^{21} - 8 q^{24} + 100 q^{25} - 120 q^{27} - 16 q^{28} - 20 q^{30} + 4 q^{31} + 232 q^{33} + 32 q^{34} - 16 q^{36} - 76 q^{37} - 4 q^{39} + 128 q^{42} - 104 q^{43} - 20 q^{45} - 56 q^{46} + 100 q^{49} + 168 q^{51} + 136 q^{52} + 40 q^{54} + 80 q^{55} + 200 q^{57} + 144 q^{58} + 40 q^{60} - 120 q^{61} - 324 q^{63} - 320 q^{64} - 288 q^{66} - 20 q^{67} - 416 q^{69} - 120 q^{70} - 32 q^{72} - 476 q^{73} - 560 q^{76} - 192 q^{78} - 508 q^{79} - 304 q^{81} + 224 q^{82} + 144 q^{84} - 240 q^{85} - 324 q^{87} + 468 q^{91} + 204 q^{93} + 400 q^{94} + 16 q^{96} - 512 q^{97} + 208 q^{99}+O(q^{100}) \) 40 * q + 40 * q^4 - 8 * q^6 + 20 * q^7 - 4 * q^9 + 136 * q^13 + 40 * q^15 - 80 * q^16 + 16 * q^18 - 140 * q^19 + 36 * q^21 - 8 * q^24 + 100 * q^25 - 120 * q^27 - 16 * q^28 - 20 * q^30 + 4 * q^31 + 232 * q^33 + 32 * q^34 - 16 * q^36 - 76 * q^37 - 4 * q^39 + 128 * q^42 - 104 * q^43 - 20 * q^45 - 56 * q^46 + 100 * q^49 + 168 * q^51 + 136 * q^52 + 40 * q^54 + 80 * q^55 + 200 * q^57 + 144 * q^58 + 40 * q^60 - 120 * q^61 - 324 * q^63 - 320 * q^64 - 288 * q^66 - 20 * q^67 - 416 * q^69 - 120 * q^70 - 32 * q^72 - 476 * q^73 - 560 * q^76 - 192 * q^78 - 508 * q^79 - 304 * q^81 + 224 * q^82 + 144 * q^84 - 240 * q^85 - 324 * q^87 + 468 * q^91 + 204 * q^93 + 400 * q^94 + 16 * q^96 - 512 * q^97 + 208 * q^99

Introduction

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