LMFDB - Embedded newform 105.3.r.a.19.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [105,3,Mod(19,105)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(105, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 5]))

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

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

chi := DirichletCharacter("105.19");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 105 = 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	105.r (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:	$2.86104277578$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$16$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.5
Character	$\chi$	$=$	105.19
Dual form			105.3.r.a.94.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.71634 - 0.990928i) q^{2} +(-0.866025 - 1.50000i) q^{3} +(-0.0361245 - 0.0625695i) q^{4} +(4.45717 - 2.26576i) q^{5} +3.43267i q^{6} +(-2.11222 - 6.67372i) q^{7} +8.07061i q^{8} +(-1.50000 + 2.59808i) q^{9} +O(q^{10})$	\(q+(-1.71634 - 0.990928i) q^{2} +(-0.866025 - 1.50000i) q^{3} +(-0.0361245 - 0.0625695i) q^{4} +(4.45717 - 2.26576i) q^{5} +3.43267i q^{6} +(-2.11222 - 6.67372i) q^{7} +8.07061i q^{8} +(-1.50000 + 2.59808i) q^{9} +(-9.89520 - 0.527928i) q^{10} +(-3.30124 - 5.71792i) q^{11} +(-0.0625695 + 0.108373i) q^{12} -21.3701 q^{13} +(-2.98790 + 13.5474i) q^{14} +(-7.25866 - 4.72355i) q^{15} +(7.85289 - 13.6016i) q^{16} +(7.99915 + 13.8549i) q^{17} +(5.14901 - 2.97278i) q^{18} +(-17.3295 - 10.0052i) q^{19} +(-0.302780 - 0.197033i) q^{20} +(-8.18135 + 8.94793i) q^{21} +13.0852i q^{22} +(1.58738 + 0.916472i) q^{23} +(12.1059 - 6.98935i) q^{24} +(14.7327 - 20.1977i) q^{25} +(36.6783 + 21.1762i) q^{26} +5.19615 q^{27} +(-0.341268 + 0.373245i) q^{28} -4.58193 q^{29} +(7.77761 + 15.3000i) q^{30} +(52.5315 - 30.3291i) q^{31} +(1.00099 - 0.577921i) q^{32} +(-5.71792 + 9.90372i) q^{33} -31.7063i q^{34} +(-24.5355 - 24.9601i) q^{35} +0.216747 q^{36} +(-9.38236 - 5.41691i) q^{37} +(19.8288 + 34.3446i) q^{38} +(18.5070 + 32.0551i) q^{39} +(18.2860 + 35.9721i) q^{40} -18.1160i q^{41} +(22.9087 - 7.25055i) q^{42} +19.8864i q^{43} +(-0.238511 + 0.413114i) q^{44} +(-0.799141 + 14.9787i) q^{45} +(-1.81632 - 3.14595i) q^{46} +(43.8498 - 75.9500i) q^{47} -27.2032 q^{48} +(-40.0771 + 28.1927i) q^{49} +(-45.3007 + 20.0671i) q^{50} +(13.8549 - 23.9974i) q^{51} +(0.771983 + 1.33711i) q^{52} +(11.5901 - 6.69155i) q^{53} +(-8.91835 - 5.14901i) q^{54} +(-27.6696 - 18.0059i) q^{55} +(53.8610 - 17.0469i) q^{56} +34.6590i q^{57} +(7.86413 + 4.54036i) q^{58} +(-3.31610 + 1.91455i) q^{59} +(-0.0333346 + 0.624806i) q^{60} +(31.1884 + 18.0066i) q^{61} -120.216 q^{62} +(20.5072 + 4.52288i) q^{63} -65.1138 q^{64} +(-95.2500 + 48.4194i) q^{65} +(19.6277 - 11.3321i) q^{66} +(25.0204 - 14.4455i) q^{67} +(0.577930 - 1.00100i) q^{68} -3.17475i q^{69} +(17.3776 + 67.1529i) q^{70} -98.4282 q^{71} +(-20.9681 - 12.1059i) q^{72} +(-60.2626 - 104.378i) q^{73} +(10.7355 + 18.5945i) q^{74} +(-43.0555 - 4.60729i) q^{75} +1.44573i q^{76} +(-31.1868 + 34.1090i) q^{77} -73.3565i q^{78} +(17.2489 - 29.8759i) q^{79} +(4.18371 - 78.4174i) q^{80} +(-4.50000 - 7.79423i) q^{81} +(-17.9517 + 31.0932i) q^{82} +70.9960 q^{83} +(0.855414 + 0.188663i) q^{84} +(67.0454 + 43.6296i) q^{85} +(19.7060 - 34.1317i) q^{86} +(3.96806 + 6.87289i) q^{87} +(46.1471 - 26.6430i) q^{88} +(115.865 + 66.8949i) q^{89} +(16.2144 - 24.9166i) q^{90} +(45.1382 + 142.618i) q^{91} -0.132428i q^{92} +(-90.9872 - 52.5315i) q^{93} +(-150.522 + 86.9039i) q^{94} +(-99.9098 - 5.33037i) q^{95} +(-1.73376 - 1.00099i) q^{96} +119.662 q^{97} +(96.7227 - 8.67463i) q^{98} +19.8074 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q + 32 q^{4} - 6 q^{5} - 48 q^{9}+O(q^{10}) $ 32 * q + 32 * q^4 - 6 * q^5 - 48 * q^9	$ 32 q + 32 q^{4} - 6 q^{5} - 48 q^{9} + 78 q^{10} - 28 q^{11} + 60 q^{14} - 24 q^{15} - 40 q^{16} - 60 q^{19} + 12 q^{21} - 34 q^{25} - 96 q^{26} - 88 q^{29} + 84 q^{31} - 170 q^{35} - 192 q^{36} + 36 q^{39} + 330 q^{40} + 320 q^{44} + 18 q^{45} - 60 q^{46} + 356 q^{49} + 12 q^{51} - 468 q^{56} - 804 q^{59} - 198 q^{60} + 336 q^{61} - 400 q^{64} - 46 q^{65} - 108 q^{66} - 438 q^{70} + 344 q^{71} + 900 q^{74} + 144 q^{75} - 20 q^{79} + 1140 q^{80} - 144 q^{81} + 780 q^{84} + 304 q^{85} + 144 q^{86} + 24 q^{89} - 224 q^{91} - 924 q^{94} - 342 q^{95} + 900 q^{96} + 168 q^{99}+O(q^{100}) $ 32 * q + 32 * q^4 - 6 * q^5 - 48 * q^9 + 78 * q^10 - 28 * q^11 + 60 * q^14 - 24 * q^15 - 40 * q^16 - 60 * q^19 + 12 * q^21 - 34 * q^25 - 96 * q^26 - 88 * q^29 + 84 * q^31 - 170 * q^35 - 192 * q^36 + 36 * q^39 + 330 * q^40 + 320 * q^44 + 18 * q^45 - 60 * q^46 + 356 * q^49 + 12 * q^51 - 468 * q^56 - 804 * q^59 - 198 * q^60 + 336 * q^61 - 400 * q^64 - 46 * q^65 - 108 * q^66 - 438 * q^70 + 344 * q^71 + 900 * q^74 + 144 * q^75 - 20 * q^79 + 1140 * q^80 - 144 * q^81 + 780 * q^84 + 304 * q^85 + 144 * q^86 + 24 * q^89 - 224 * q^91 - 924 * q^94 - 342 * q^95 + 900 * q^96 + 168 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/105\mathbb{Z}\right)^\times$.

$n$	$22$	$31$	$71$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$1$

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 $

$2$	−1.71634	−	0.990928i	−0.858169	−	0.495464i	0.00522998	−	0.999986i	$-0.498335\pi$
$2$	−1.71634	−	0.990928i	−0.858169	−	0.495464i	−0.863399	+	0.504522i	$0.831669\pi$
$3$	−0.866025	−	1.50000i	−0.288675	−	0.500000i
$3$	−0.866025	−	1.50000i	−0.288675	−	0.500000i
$4$	−0.0361245	−	0.0625695i	−0.00903112	−	0.0156424i
$5$	4.45717	−	2.26576i	0.891434	−	0.453151i
$5$	4.45717	−	2.26576i	0.891434	−	0.453151i
$6$			3.43267i			0.572112i
$7$	−2.11222	−	6.67372i	−0.301745	−	0.953389i
$7$	−2.11222	−	6.67372i	−0.301745	−	0.953389i
$8$			8.07061i			1.00883i
$9$	−1.50000	+	2.59808i	−0.166667	+	0.288675i
$10$	−9.89520	−	0.527928i	−0.989520	−	0.0527928i
$11$	−3.30124	−	5.71792i	−0.300113	−	0.519810i	0.676049	−	0.736857i	$-0.263691\pi$
$11$	−3.30124	−	5.71792i	−0.300113	−	0.519810i	−0.976161	+	0.217047i	$0.930358\pi$
$12$	−0.0625695	+	0.108373i	−0.00521412	+	0.00903112i
$13$	−21.3701			−1.64385			−0.821926	−	0.569594i	$-0.807100\pi$
$13$	−21.3701			−1.64385			−0.821926	+	0.569594i	$0.807100\pi$
$14$	−2.98790	+	13.5474i	−0.213421	+	0.967672i
$15$	−7.25866	−	4.72355i	−0.483910	−	0.314903i
$16$	7.85289	−	13.6016i	0.490806	−	0.850101i
$17$	7.99915	+	13.8549i	0.470538	+	0.814996i	0.999432	−	0.0336921i	$-0.0107265\pi$
$17$	7.99915	+	13.8549i	0.470538	+	0.814996i	−0.528894	+	0.848688i	$0.677393\pi$
$18$	5.14901	−	2.97278i	0.286056	−	0.165155i
$19$	−17.3295	−	10.0052i	−0.912079	−	0.526589i	−0.0309794	−	0.999520i	$-0.509863\pi$
$19$	−17.3295	−	10.0052i	−0.912079	−	0.526589i	−0.881099	+	0.472931i	$0.843196\pi$
$20$	−0.302780	−	0.197033i	−0.0151390	−	0.00985166i
$21$	−8.18135	+	8.94793i	−0.389588	+	0.426092i
$22$			13.0852i			0.594780i
$23$	1.58738	+	0.916472i	0.0690164	+	0.0398466i	0.534111	−	0.845414i	$-0.320646\pi$
$23$	1.58738	+	0.916472i	0.0690164	+	0.0398466i	−0.465095	+	0.885261i	$0.653980\pi$
$24$	12.1059	−	6.98935i	0.504413	−	0.291223i
$25$	14.7327	−	20.1977i	0.589308	−	0.807909i
$26$	36.6783	+	21.1762i	1.41070	+	0.814469i
$27$	5.19615			0.192450
$28$	−0.341268	+	0.373245i	−0.0121882	+	0.0133302i
$29$	−4.58193			−0.157997			−0.0789987	−	0.996875i	$-0.525172\pi$
$29$	−4.58193			−0.157997			−0.0789987	+	0.996875i	$0.525172\pi$
$30$	7.77761	+	15.3000i	0.259254	+	0.510000i
$31$	52.5315	−	30.3291i	1.69456	−	0.978357i	0.743821	−	0.668379i	$-0.233012\pi$
$31$	52.5315	−	30.3291i	1.69456	−	0.978357i	0.950744	−	0.309978i	$-0.100322\pi$
$32$	1.00099	−	0.577921i	0.0312809	−	0.0180600i
$33$	−5.71792	+	9.90372i	−0.173270	+	0.300113i
$34$		−	31.7063i		−	0.932538i
$35$	−24.5355	−	24.9601i	−0.701015	−	0.713146i
$36$	0.216747			0.00602075
$37$	−9.38236	−	5.41691i	−0.253577	−	0.146403i	0.367824	−	0.929895i	$-0.380103\pi$
$37$	−9.38236	−	5.41691i	−0.253577	−	0.146403i	−0.621401	+	0.783493i	$0.713436\pi$
$38$	19.8288	+	34.3446i	0.521812	+	0.903804i
$39$	18.5070	+	32.0551i	0.474539	+	0.821926i
$40$	18.2860	+	35.9721i	0.457151	+	0.899301i
$41$		−	18.1160i		−	0.441854i	−0.975290	−	0.220927i	$-0.929092\pi$
$41$		−	18.1160i		−	0.441854i	0.975290	−	0.220927i	$-0.0709083\pi$
$42$	22.9087	−	7.25055i	0.545445	−	0.172632i
$43$			19.8864i			0.462474i	0.972897	+	0.231237i	$0.0742772\pi$
$43$			19.8864i			0.462474i	−0.972897	+	0.231237i	$0.925723\pi$
$44$	−0.238511	+	0.413114i	−0.00542071	+	0.00938894i
$45$	−0.799141	+	14.9787i	−0.0177587	+	0.332860i
$46$	−1.81632	−	3.14595i	−0.0394851	−	0.0683902i
$47$	43.8498	−	75.9500i	0.932974	−	1.61596i	0.154767	−	0.987951i	$-0.450537\pi$
$47$	43.8498	−	75.9500i	0.932974	−	1.61596i	0.778207	−	0.628007i	$-0.216129\pi$
$48$	−27.2032			−0.566734
$49$	−40.0771	+	28.1927i	−0.817900	+	0.575361i
$50$	−45.3007	+	20.0671i	−0.906015	+	0.401341i
$51$	13.8549	−	23.9974i	0.271665	−	0.470538i
$52$	0.771983	+	1.33711i	0.0148458	+	0.0257137i
$53$	11.5901	−	6.69155i	0.218681	−	0.126256i	−0.386658	−	0.922223i	$-0.626371\pi$
$53$	11.5901	−	6.69155i	0.218681	−	0.126256i	0.605340	+	0.795967i	$0.293037\pi$
$54$	−8.91835	−	5.14901i	−0.165155	−	0.0953521i
$55$	−27.6696	−	18.0059i	−0.503083	−	0.327380i
$56$	53.8610	−	17.0469i	0.961803	−	0.304408i
$57$			34.6590i			0.608053i
$58$	7.86413	+	4.54036i	0.135588	+	0.0782820i
$59$	−3.31610	+	1.91455i	−0.0562051	+	0.0324501i	−0.527839	−	0.849344i	$-0.676998\pi$
$59$	−3.31610	+	1.91455i	−0.0562051	+	0.0324501i	0.471634	+	0.881794i	$0.343664\pi$
$60$	−0.0333346	+	0.624806i	−0.000555576	+	0.0104134i
$61$	31.1884	+	18.0066i	0.511285	+	0.295191i	0.733362	−	0.679839i	$-0.237950\pi$
$61$	31.1884	+	18.0066i	0.511285	+	0.295191i	−0.222077	+	0.975029i	$0.571284\pi$
$62$	−120.216			−1.93896
$63$	20.5072	+	4.52288i	0.325510	+	0.0717918i
$64$	−65.1138			−1.01740
$65$	−95.2500	+	48.4194i	−1.46538	+	0.744914i
$66$	19.6277	−	11.3321i	0.297390	−	0.171698i
$67$	25.0204	−	14.4455i	0.373439	−	0.215605i	−0.301521	−	0.953460i	$-0.597494\pi$
$67$	25.0204	−	14.4455i	0.373439	−	0.215605i	0.674960	+	0.737855i	$0.264161\pi$
$68$	0.577930	−	1.00100i	0.00849897	−	0.0147207i
$69$		−	3.17475i		−	0.0460109i
$70$	17.3776	+	67.1529i	0.248251	+	0.959328i
$71$	−98.4282			−1.38631			−0.693157	−	0.720787i	$-0.743781\pi$
$71$	−98.4282			−1.38631			−0.693157	+	0.720787i	$0.743781\pi$
$72$	−20.9681	−	12.1059i	−0.291223	−	0.168138i
$73$	−60.2626	−	104.378i	−0.825515	−	1.42983i	−0.901525	−	0.432727i	$-0.857551\pi$
$73$	−60.2626	−	104.378i	−0.825515	−	1.42983i	0.0760099	−	0.997107i	$-0.475782\pi$
$74$	10.7355	+	18.5945i	0.145075	+	0.251277i
$75$	−43.0555	−	4.60729i	−0.574073	−	0.0614306i
$76$			1.44573i			0.0190228i
$77$	−31.1868	+	34.1090i	−0.405024	+	0.442974i
$78$		−	73.3565i		−	0.940468i
$79$	17.2489	−	29.8759i	0.218340	−	0.378176i	−0.735961	−	0.677024i	$-0.763269\pi$
$79$	17.2489	−	29.8759i	0.218340	−	0.378176i	0.954301	+	0.298848i	$0.0966024\pi$
$80$	4.18371	−	78.4174i	0.0522964	−	0.980217i
$81$	−4.50000	−	7.79423i	−0.0555556	−	0.0962250i
$82$	−17.9517	+	31.0932i	−0.218923	+	0.379186i
$83$	70.9960			0.855373			0.427686	−	0.903927i	$-0.359329\pi$
$83$	70.9960			0.855373			0.427686	+	0.903927i	$0.359329\pi$
$84$	0.855414	+	0.188663i	0.0101835	+	0.00224599i
$85$	67.0454	+	43.6296i	0.788770	+	0.513289i
$86$	19.7060	−	34.1317i	0.229139	−	0.396880i
$87$	3.96806	+	6.87289i	0.0456099	+	0.0789987i
$88$	46.1471	−	26.6430i	0.524398	−	0.302762i
$89$	115.865	+	66.8949i	1.30186	+	0.751628i	0.980723	−	0.195406i	$-0.0626023\pi$
$89$	115.865	+	66.8949i	1.30186	+	0.751628i	0.321135	+	0.947033i	$0.395936\pi$
$90$	16.2144	−	24.9166i	0.180160	−	0.276851i
$91$	45.1382	+	142.618i	0.496024	+	1.56723i
$92$		−	0.132428i		−	0.00143944i
$93$	−90.9872	−	52.5315i	−0.978357	−	0.564855i
$94$	−150.522	+	86.9039i	−1.60130	+	0.924510i
$95$	−99.9098	−	5.33037i	−1.05168	−	0.0561092i
$96$	−1.73376	−	1.00099i	−0.0180600	−	0.0104270i
$97$	119.662			1.23363			0.616814	−	0.787109i	$-0.288423\pi$
$97$	119.662			1.23363			0.616814	+	0.787109i	$0.288423\pi$
$98$	96.7227	−	8.67463i	0.986966	−	0.0885166i
$99$	19.8074			0.200075
$100$	−1.79597	−	0.192184i	−0.0179597	−	0.00192184i
$101$	49.6705	−	28.6773i	0.491787	−	0.283934i	−0.233528	−	0.972350i	$-0.575027\pi$
$101$	49.6705	−	28.6773i	0.491787	−	0.283934i	0.725316	+	0.688416i	$0.241694\pi$
$102$	−47.5594	+	27.4585i	−0.466269	+	0.269201i
$103$	32.8462	−	56.8912i	0.318895	−	0.552342i	−0.661363	−	0.750066i	$-0.730022\pi$
$103$	32.8462	−	56.8912i	0.318895	−	0.552342i	0.980258	+	0.197724i	$0.0633550\pi$
$104$		−	172.470i		−	1.65836i
$105$	−16.1918	+	58.4194i	−0.154208	+	0.556375i
$106$	−26.5234			−0.250221
$107$	110.205	+	63.6269i	1.02995	+	0.594644i	0.916971	−	0.398953i	$-0.130626\pi$
$107$	110.205	+	63.6269i	1.02995	+	0.594644i	0.112982	+	0.993597i	$0.463960\pi$
$108$	−0.187708	−	0.325120i	−0.00173804	−	0.00301037i
$109$	32.5728	+	56.4178i	0.298833	+	0.517595i	0.975869	−	0.218355i	$-0.0700692\pi$
$109$	32.5728	+	56.4178i	0.298833	+	0.517595i	−0.677036	+	0.735950i	$0.736736\pi$
$110$	29.6478	+	58.3228i	0.269525	+	0.530207i
$111$			18.7647i			0.169051i
$112$	−107.360	−	23.6785i	−0.958574	−	0.211415i
$113$			92.2637i			0.816493i	0.912872	+	0.408246i	$0.133860\pi$
$113$			92.2637i			0.816493i	−0.912872	+	0.408246i	$0.866140\pi$
$114$	34.3446	−	59.4865i	0.301268	−	0.521812i
$115$	9.15171	+	0.488261i	0.0795800	+	0.00424574i
$116$	0.165520	+	0.286689i	0.00142689	+	0.00247145i
$117$	32.0551	−	55.5211i	0.273975	−	0.474539i
$118$	7.58874			0.0643113
$119$	75.5680	−	82.6486i	0.635025	−	0.694526i
$120$	38.1219	−	58.5818i	0.317683	−	0.488181i
$121$	38.7036	−	67.0367i	0.319865	−	0.554022i
$122$	−35.6865	−	61.8109i	−0.292513	−	0.506647i
$123$	−27.1741	+	15.6889i	−0.220927	+	0.127552i
$124$	−3.79535	−	2.19124i	−0.0306076	−	0.0176713i
$125$	19.9029	−	123.405i	0.159223	−	0.987243i
$126$	−30.7153	−	28.0839i	−0.243773	−	0.222888i
$127$			106.233i			0.836481i	0.908336	+	0.418241i	$0.137353\pi$
$127$			106.233i			0.836481i	−0.908336	+	0.418241i	$0.862647\pi$
$128$	107.753	+	62.2114i	0.841823	+	0.486027i
$129$	29.8296	−	17.2221i	0.231237	−	0.133505i
$130$	211.461	+	11.2819i	1.62663	+	0.0867835i
$131$	−103.944	−	60.0123i	−0.793468	−	0.458109i	0.0477140	−	0.998861i	$-0.484806\pi$
$131$	−103.944	−	60.0123i	−0.793468	−	0.458109i	−0.841182	+	0.540752i	$0.818140\pi$
$132$	0.826227			0.00625930
$133$	−30.1682	+	136.785i	−0.226829	+	1.02846i
$134$	−57.2579			−0.427298
$135$	23.1601	−	11.7732i	0.171556	−	0.0872090i
$136$	−111.818	+	64.5580i	−0.822189	+	0.474691i
$137$	−202.262	+	116.776i	−1.47636	+	0.852380i	−0.999644	−	0.0266751i	$-0.991508\pi$
$137$	−202.262	+	116.776i	−1.47636	+	0.852380i	−0.476721	+	0.879055i	$0.658175\pi$
$138$	−3.14595	+	5.44895i	−0.0227967	+	0.0394851i
$139$		−	63.8054i		−	0.459031i	−0.973305	−	0.229516i	$-0.926286\pi$
$139$		−	63.8054i		−	0.459031i	0.973305	−	0.229516i	$-0.0737142\pi$
$140$	−0.675408	+	2.43685i	−0.00482434	+	0.0174060i
$141$	−151.900			−1.07731
$142$	168.936	+	97.5353i	1.18969	+	0.686868i
$143$	70.5477	+	122.192i	0.493341	+	0.854491i
$144$	23.5587	+	40.8048i	0.163602	+	0.283367i
$145$	−20.4224	+	10.3815i	−0.140844	+	0.0715968i
$146$			238.864i			1.63605i
$147$	76.9968	+	35.7001i	0.523788	+	0.242858i
$148$			0.782732i			0.00528873i
$149$	−106.401	+	184.291i	−0.714098	+	1.23685i	0.249208	+	0.968450i	$0.419830\pi$
$149$	−106.401	+	184.291i	−0.714098	+	1.23685i	−0.963306	+	0.268405i	$0.913504\pi$
$150$	69.3322	+	50.5725i	0.462215	+	0.337150i
$151$	−94.6108	−	163.871i	−0.626562	−	1.08524i	−0.988237	−	0.152933i	$-0.951128\pi$
$151$	−94.6108	−	163.871i	−0.626562	−	1.08524i	0.361675	−	0.932304i	$-0.382205\pi$
$152$	80.7480	−	139.860i	0.531237	−	0.920129i
$153$	−47.9949			−0.313692
$154$	87.3267	−	27.6387i	0.567057	−	0.179472i
$155$	165.423	−	254.205i	1.06725	−	1.64003i
$156$	1.33711	−	2.31595i	0.00857124	−	0.0148458i
$157$	−38.2441	−	66.2408i	−0.243593	−	0.421916i	0.718142	−	0.695897i	$-0.244993\pi$
$157$	−38.2441	−	66.2408i	−0.243593	−	0.421916i	−0.961735	+	0.273981i	$0.911659\pi$
$158$	−59.2098	+	34.1848i	−0.374745	+	0.216359i
$159$	−20.0747	−	11.5901i	−0.126256	−	0.0728938i
$160$	3.15214	−	4.84389i	0.0197009	−	0.0302743i
$161$	2.76340	−	12.5295i	0.0171640	−	0.0778229i
$162$			17.8367i			0.110103i
$163$	−136.910	−	79.0449i	−0.839937	−	0.484938i	0.0173059	−	0.999850i	$-0.494491\pi$
$163$	−136.910	−	79.0449i	−0.839937	−	0.484938i	−0.857243	+	0.514912i	$0.827824\pi$
$164$	−1.13351	+	0.654433i	−0.00691165	+	0.00399044i
$165$	−3.04628	+	57.0979i	−0.0184623	+	0.346048i
$166$	−121.853	−	70.3519i	−0.734054	−	0.423806i
$167$	−51.2715			−0.307015			−0.153507	−	0.988147i	$-0.549057\pi$
$167$	−51.2715			−0.307015			−0.153507	+	0.988147i	$0.549057\pi$
$168$	−72.2153	−	66.0285i	−0.429853	−	0.393027i
$169$	287.680			1.70225
$170$	−71.8388	−	141.320i	−0.422581	−	0.831296i
$171$	51.9885	−	30.0156i	0.304026	−	0.175530i
$172$	1.24428	−	0.718385i	0.00723418	−	0.00417666i
$173$	−45.0981	+	78.1122i	−0.260683	+	0.451516i	−0.966424	−	0.256954i	$-0.917281\pi$
$173$	−45.0981	+	78.1122i	−0.260683	+	0.451516i	0.705741	+	0.708470i	$0.250614\pi$
$174$		−	15.7283i		−	0.0903923i
$175$	−165.913	−	55.6599i	−0.948072	−	0.318057i
$176$	−103.697			−0.589188
$177$	5.74366	+	3.31610i	0.0324501	+	0.0187350i
$178$	−132.576	−	229.628i	−0.744809	−	1.29005i
$179$	49.2761	+	85.3486i	0.275285	+	0.476808i	0.970207	−	0.242277i	$-0.0778944\pi$
$179$	49.2761	+	85.3486i	0.275285	+	0.476808i	−0.694922	+	0.719085i	$0.744561\pi$
$180$	0.966078	−	0.491096i	0.00536710	−	0.00272831i
$181$			251.131i			1.38746i	0.720234	+	0.693731i	$0.244034\pi$
$181$			251.131i			1.38746i	−0.720234	+	0.693731i	$0.755966\pi$
$182$	63.8517	−	289.509i	0.350833	−	1.59071i
$183$		−	62.3768i		−	0.340857i
$184$	−7.39649	+	12.8111i	−0.0401983	+	0.0696255i
$185$	−54.0921	−	2.88592i	−0.292390	−	0.0155995i
$186$	104.110	+	180.324i	0.559730	+	0.969481i
$187$	52.8142	−	91.4769i	0.282429	−	0.489181i
$188$	−6.33620			−0.0337032
$189$	−10.9754	−	34.6777i	−0.0580709	−	0.183480i
$190$	166.197	+	108.152i	0.874721	+	0.569222i
$191$	−52.6947	+	91.2699i	−0.275888	+	0.477853i	−0.970359	−	0.241668i	$-0.922305\pi$
$191$	−52.6947	+	91.2699i	−0.275888	+	0.477853i	0.694470	+	0.719521i	$0.255639\pi$
$192$	56.3902	+	97.6708i	0.293699	+	0.508702i
$193$	−60.3612	+	34.8496i	−0.312752	+	0.180568i	−0.648157	−	0.761506i	$-0.724460\pi$
$193$	−60.3612	+	34.8496i	−0.312752	+	0.180568i	0.335405	+	0.942074i	$0.391127\pi$
$194$	−205.380	−	118.576i	−1.05866	−	0.611218i
$195$	155.118	+	100.943i	0.795477	+	0.517654i
$196$	3.21176	+	1.48916i	0.0163866	+	0.00759773i
$197$		−	84.6930i		−	0.429914i	−0.976624	−	0.214957i	$-0.931039\pi$
$197$		−	84.6930i		−	0.429914i	0.976624	−	0.214957i	$-0.0689611\pi$
$198$	−33.9962	−	19.6277i	−0.171698	−	0.0991300i
$199$	142.197	−	82.0977i	0.714560	−	0.412551i	−0.0981872	−	0.995168i	$-0.531304\pi$
$199$	142.197	−	82.0977i	0.714560	−	0.412551i	0.812747	+	0.582617i	$0.197971\pi$
$200$	163.008	+	118.902i	0.815040	+	0.594509i
$201$	−43.3366	−	25.0204i	−0.215605	−	0.124480i
$202$	−113.668			−0.562715
$203$	9.67802	+	30.5785i	0.0476750	+	0.150633i
$204$	−2.00201			−0.00981377
$205$	−41.0465	−	80.7462i	−0.200227	−	0.393884i
$206$	−112.750	+	65.0963i	−0.547331	+	0.316002i
$207$	−4.76213	+	2.74942i	−0.0230055	+	0.0132822i
$208$	−167.817	+	290.667i	−0.806812	+	1.39744i
$209$			132.118i			0.632144i
$210$	85.6800	−	84.2225i	0.408000	−	0.401059i
$211$	−180.173			−0.853903			−0.426951	−	0.904275i	$-0.640412\pi$
$211$	−180.173			−0.853903			−0.426951	+	0.904275i	$0.640412\pi$
$212$	−0.837374	−	0.483458i	−0.00394988	−	0.00228046i
$213$	85.2413	+	147.642i	0.400194	+	0.693157i
$214$	−126.099	−	218.410i	−0.589249	−	1.02061i
$215$	45.0577	+	88.6369i	0.209571	+	0.412265i
$216$			41.9361i			0.194149i
$217$	−313.366	−	286.519i	−1.44408	−	1.32036i
$218$		−	129.109i		−	0.592245i
$219$	−104.378	+	180.788i	−0.476611	+	0.825515i
$220$	−0.127069	+	2.38172i	−0.000577589	+	0.0108260i
$221$	−170.942	−	296.081i	−0.773495	−	1.33973i
$222$	18.5945	−	32.2066i	0.0837589	−	0.145075i
$223$	254.131			1.13960			0.569801	−	0.821783i	$-0.307020\pi$
$223$	254.131			1.13960			0.569801	+	0.821783i	$0.307020\pi$
$224$	−5.97118	−	5.45962i	−0.0266571	−	0.0243733i
$225$	30.3762	+	68.5732i	0.135005	+	0.304770i
$226$	91.4266	−	158.356i	0.404543	−	0.700688i
$227$	82.2533	+	142.467i	0.362349	+	0.627608i	0.988347	−	0.152217i	$-0.0486414\pi$
$227$	82.2533	+	142.467i	0.362349	+	0.627608i	−0.625998	+	0.779825i	$0.715308\pi$
$228$	2.16859	−	1.25204i	0.00951138	−	0.00549140i
$229$	94.5952	+	54.6146i	0.413080	+	0.238492i	0.692112	−	0.721790i	$-0.256680\pi$
$229$	94.5952	+	54.6146i	0.413080	+	0.238492i	−0.279033	+	0.960282i	$0.590014\pi$
$230$	−15.2236	−	9.90670i	−0.0661895	−	0.0430726i
$231$	78.1721	+	17.2410i	0.338407	+	0.0746363i
$232$		−	36.9789i		−	0.159392i
$233$	−15.9135	−	9.18768i	−0.0682984	−	0.0394321i	0.465462	−	0.885068i	$-0.345888\pi$
$233$	−15.9135	−	9.18768i	−0.0682984	−	0.0394321i	−0.533760	+	0.845636i	$0.679222\pi$
$234$	−110.035	+	63.5286i	−0.470234	+	0.271490i
$235$	23.3615	−	437.875i	0.0994104	−	1.86330i
$236$	0.239585	+	0.138325i	0.00101519	+	0.000586121i
$237$	−59.7518			−0.252117
$238$	−211.599	+	66.9705i	−0.889071	+	0.281389i
$239$	83.6340			0.349933			0.174966	−	0.984574i	$-0.444018\pi$
$239$	83.6340			0.349933			0.174966	+	0.984574i	$0.444018\pi$
$240$	−121.249	+	61.6359i	−0.505205	+	0.256816i
$241$	−78.8045	+	45.4978i	−0.326990	+	0.188788i	−0.654504	−	0.756059i	$-0.727122\pi$
$241$	−78.8045	+	45.4978i	−0.326990	+	0.188788i	0.327514	+	0.944846i	$0.393789\pi$
$242$	−132.857	+	76.7050i	−0.548996	+	0.316963i
$243$	−7.79423	+	13.5000i	−0.0320750	+	0.0555556i
$244$		−	2.60192i		−	0.0106636i
$245$	−114.753	+	216.464i	−0.468378	+	0.883528i
$246$	62.1864			0.252790
$247$	370.333	+	213.812i	1.49932	+	0.865634i
$248$	244.774	+	423.961i	0.986992	+	1.70952i
$249$	−61.4843	−	106.494i	−0.246925	−	0.427686i
$250$	−156.446	+	192.083i	−0.625784	+	0.768331i
$251$			405.829i			1.61685i	0.588601	+	0.808424i	$0.299679\pi$
$251$			405.829i			1.61685i	−0.588601	+	0.808424i	$0.700321\pi$
$252$	−0.457816	−	1.44651i	−0.00181673	−	0.00574011i
$253$		−	12.1020i		−	0.0478339i
$254$	105.269	−	182.332i	0.414446	−	0.717842i
$255$	7.38136	−	138.352i	0.0289465	−	0.542559i
$256$	6.93363	+	12.0094i	0.0270845	+	0.0469117i
$257$	−23.1123	+	40.0316i	−0.0899309	+	0.155765i	−0.907482	−	0.420092i	$-0.861998\pi$
$257$	−23.1123	+	40.0316i	−0.0899309	+	0.155765i	0.817551	+	0.575856i	$0.195331\pi$
$258$	−68.2634			−0.264587
$259$	−16.3334	+	74.0569i	−0.0630632	+	0.285934i
$260$	6.47043	+	4.21062i	0.0248863	+	0.0161947i
$261$	6.87289	−	11.9042i	0.0263329	−	0.0456099i
$262$	118.936	+	206.003i	0.453953	+	0.786269i
$263$	374.030	−	215.946i	1.42217	−	0.821089i	0.425684	−	0.904872i	$-0.360033\pi$
$263$	374.030	−	215.946i	1.42217	−	0.821089i	0.996484	+	0.0837824i	$0.0267001\pi$
$264$	−79.9290	−	46.1471i	−0.302762	−	0.174799i
$265$	36.4976	−	56.0858i	0.137727	−	0.211644i
$266$	187.323	−	204.875i	0.704223	−	0.770208i
$267$		−	231.731i		−	0.867905i
$268$	−1.80770	−	1.04367i	−0.00674514	−	0.00389431i
$269$	122.369	−	70.6497i	0.454903	−	0.262638i	−0.254996	−	0.966942i	$-0.582074\pi$
$269$	122.369	−	70.6497i	0.454903	−	0.262638i	0.709899	+	0.704304i	$0.248741\pi$
$270$	−51.4170	−	2.74319i	−0.190433	−	0.0101600i
$271$	−6.46991	−	3.73540i	−0.0238742	−	0.0137838i	0.488015	−	0.872835i	$-0.337721\pi$
$271$	−6.46991	−	3.73540i	−0.0238742	−	0.0137838i	−0.511890	+	0.859051i	$0.671054\pi$
$272$	251.266			0.923771
$273$	174.836	−	191.218i	0.640425	−	0.700432i
$274$	462.866			1.68929
$275$	−164.125	−	17.5627i	−0.596818	−	0.0638645i
$276$	−0.198643	+	0.114686i	−0.000719719	+	0.000415530i
$277$	−23.4240	+	13.5238i	−0.0845631	+	0.0488225i	−0.541685	−	0.840581i	$-0.682214\pi$
$277$	−23.4240	+	13.5238i	−0.0845631	+	0.0488225i	0.457122	+	0.889404i	$0.348880\pi$
$278$	−63.2265	+	109.512i	−0.227433	+	0.393926i
$279$			181.974i			0.652238i
$280$	201.443	−	198.017i	0.719441	−	0.707202i
$281$	498.278			1.77323			0.886617	−	0.462505i	$-0.153049\pi$
$281$	498.278			1.77323			0.886617	+	0.462505i	$0.153049\pi$
$282$	260.712	+	150.522i	0.924510	+	0.533766i
$283$	−177.970	−	308.254i	−0.628870	−	1.08924i	−0.987779	−	0.155863i	$-0.950184\pi$
$283$	−177.970	−	308.254i	−0.628870	−	1.08924i	0.358908	−	0.933373i	$-0.383149\pi$
$284$	3.55567	+	6.15860i	0.0125200	+	0.0216852i
$285$	78.5289	+	154.481i	0.275540	+	0.542038i
$286$		−	279.631i		−	0.977730i
$287$	−120.901	+	38.2650i	−0.421259	+	0.133327i
$288$			3.46752i			0.0120400i
$289$	16.5274	−	28.6262i	0.0571881	−	0.0990527i
$290$	45.3391	+	2.41893i	0.156342	+	0.00834112i
$291$	−103.630	−	179.493i	−0.356118	−	0.616814i
$292$	−4.35391	+	7.54120i	−0.0149107	+	0.0258260i
$293$	11.1221			0.0379593			0.0189797	−	0.999820i	$-0.493958\pi$
$293$	11.1221			0.0379593			0.0189797	+	0.999820i	$0.493958\pi$
$294$	−96.7763	−	137.572i	−0.329171	−	0.467931i
$295$	−10.4425	+	16.0470i	−0.0353984	+	0.0543965i
$296$	43.7177	−	75.7213i	0.147695	−	0.255815i
$297$	−17.1537	−	29.7112i	−0.0577567	−	0.100038i
$298$	365.239	−	210.871i	1.22563	−	0.707620i
$299$	−33.9223	−	19.5851i	−0.113453	−	0.0655019i
$300$	1.26708	+	2.86039i	0.00422360	+	0.00953464i
$301$	132.716	−	42.0043i	0.440917	−	0.139549i
$302$			375.010i			1.24176i
$303$	−86.0319	−	49.6705i	−0.283934	−	0.163929i
$304$	−272.173	+	157.139i	−0.895307	+	0.516906i
$305$	179.811	+	9.59323i	0.589543	+	0.0314532i
$306$	82.3754	+	47.5594i	0.269201	+	0.155423i
$307$	−369.947			−1.20504			−0.602519	−	0.798105i	$-0.705836\pi$
$307$	−369.947			−1.20504			−0.602519	+	0.798105i	$0.705836\pi$
$308$	3.26079	+	0.719172i	0.0105870	+	0.00233498i
$309$	−113.782			−0.368228
$310$	−535.821	+	272.380i	−1.72846	+	0.878644i
$311$	250.461	−	144.604i	0.805340	−	0.464963i	−0.0399948	−	0.999200i	$-0.512734\pi$
$311$	250.461	−	144.604i	0.805340	−	0.464963i	0.845335	+	0.534236i	$0.179401\pi$
$312$	−258.704	+	149.363i	−0.829180	+	0.478728i
$313$	103.131	−	178.629i	0.329493	−	0.570699i	−0.652918	−	0.757429i	$-0.726455\pi$
$313$	103.131	−	178.629i	0.329493	−	0.570699i	0.982411	+	0.186729i	$0.0597888\pi$
$314$			151.589i			0.482766i
$315$	101.652	−	26.3050i	0.322703	−	0.0835079i
$316$	−2.49243			−0.00788743
$317$	−55.5495	−	32.0715i	−0.175235	−	0.101172i	0.409817	−	0.912168i	$-0.365593\pi$
$317$	−55.5495	−	32.0715i	−0.175235	−	0.101172i	−0.585052	+	0.810996i	$0.698926\pi$
$318$	22.9699	+	39.7851i	0.0722325	+	0.125110i
$319$	15.1260	+	26.1991i	0.0474170	+	0.0821287i
$320$	−290.223	+	147.532i	−0.906948	+	0.461038i
$321$		−	220.410i		−	0.686636i
$322$	−17.1587	+	18.7665i	−0.0532880	+	0.0582811i
$323$		−	320.132i		−	0.991120i
$324$	−0.325120	+	0.563125i	−0.00100346	+	0.00173804i
$325$	−314.839	+	431.627i	−0.968734	+	1.32808i
$326$	156.655	+	271.335i	0.480538	+	0.832317i
$327$	56.4178	−	97.7185i	0.172532	−	0.298833i
$328$	146.207			0.445754
$329$	−599.490	−	132.218i	−1.82216	−	0.401879i
$330$	61.8084	−	94.9807i	0.187298	−	0.287820i
$331$	−80.4769	+	139.390i	−0.243133	+	0.421118i	−0.961605	−	0.274437i	$-0.911508\pi$
$331$	−80.4769	+	139.390i	−0.243133	+	0.421118i	0.718472	+	0.695556i	$0.244842\pi$
$332$	−2.56469	−	4.44218i	−0.00772498	−	0.0133801i
$333$	28.1471	−	16.2507i	0.0845257	−	0.0488009i
$334$	87.9991	+	50.8063i	0.263470	+	0.152115i
$335$	78.7900	−	121.076i	0.235194	−	0.361422i
$336$	57.4591	+	181.547i	0.171009	+	0.540317i
$337$			262.731i			0.779616i	0.920896	+	0.389808i	$0.127459\pi$
$337$			262.731i			0.779616i	−0.920896	+	0.389808i	$0.872541\pi$
$338$	−493.756	−	285.070i	−1.46082	−	0.843403i
$339$	138.395	−	79.9027i	0.408246	−	0.235701i
$340$	0.307899	−	5.77109i	0.000905584	−	0.0169738i
$341$	−346.838	−	200.247i	−1.01712	−	0.587235i
$342$	−118.973			−0.347874
$343$	272.801	+	207.914i	0.795340	+	0.606164i
$344$	−160.495			−0.466556
$345$	−7.19322	−	14.1504i	−0.0208499	−	0.0410157i
$346$	154.807	−	89.3780i	0.447420	−	0.258318i
$347$	−322.912	+	186.433i	−0.930582	+	0.537272i	−0.886996	−	0.461778i	$-0.847212\pi$
$347$	−322.912	+	186.433i	−0.930582	+	0.537272i	−0.0435865	+	0.999050i	$0.513878\pi$
$348$	0.286689	−	0.496559i	0.000823818	−	0.00142689i
$349$			522.429i			1.49693i	0.663173	+	0.748466i	$0.269209\pi$
$349$			522.429i			1.49693i	−0.663173	+	0.748466i	$0.730791\pi$
$350$	229.607	+	259.939i	0.656020	+	0.742681i
$351$	−111.042			−0.316359
$352$	−6.60900	−	3.81571i	−0.0187756	−	0.0108401i
$353$	−220.040	−	381.121i	−0.623344	−	1.07966i	−0.988859	−	0.148858i	$-0.952440\pi$
$353$	−220.040	−	381.121i	−0.623344	−	1.07966i	0.365515	−	0.930806i	$-0.380893\pi$
$354$	−6.57204	−	11.3831i	−0.0185651	−	0.0321557i
$355$	−438.711	+	223.014i	−1.23581	+	0.628210i
$356$		−	9.66617i		−	0.0271522i
$357$	−189.417	−	41.7762i	−0.530579	−	0.117020i
$358$		−	195.316i		−	0.545576i
$359$	113.027	−	195.769i	0.314839	−	0.545318i	−0.664564	−	0.747231i	$-0.731383\pi$
$359$	113.027	−	195.769i	0.314839	−	0.545318i	0.979403	+	0.201914i	$0.0647160\pi$
$360$	−120.887	−	6.44956i	−0.335798	−	0.0179154i
$361$	19.7077	+	34.1347i	0.0545919	+	0.0945559i
$362$	248.852	−	431.025i	0.687437	−	1.19068i
$363$	−134.073			−0.369348
$364$	7.29293	−	7.97627i	0.0200355	−	0.0219128i
$365$	−505.095	−	328.689i	−1.38382	−	0.900519i
$366$	−61.8109	+	107.060i	−0.168882	+	0.292513i
$367$	−71.8470	−	124.443i	−0.195768	−	0.339081i	0.751384	−	0.659866i	$-0.229387\pi$
$367$	−71.8470	−	124.443i	−0.195768	−	0.339081i	−0.947152	+	0.320785i	$0.896053\pi$
$368$	24.9310	−	14.3939i	0.0677472	−	0.0391139i
$369$	47.0668	+	27.1741i	0.127552	+	0.0736424i
$370$	89.9806	+	58.5546i	0.243191	+	0.158256i
$371$	−69.1384	−	63.2152i	−0.186357	−	0.170391i
$372$			7.59069i			0.0204051i
$373$	524.499	+	302.820i	1.40616	+	0.811849i	0.995016	−	0.0997188i	$-0.0317943\pi$
$373$	524.499	+	302.820i	1.40616	+	0.811849i	0.411149	+	0.911568i	$0.365128\pi$
$374$	−181.294	+	104.670i	−0.484743	+	0.279867i
$375$	−202.344	+	77.0177i	−0.539585	+	0.205381i
$376$	612.963	+	353.894i	1.63022	+	0.941209i
$377$	97.9161			0.259724
$378$	−15.5256	+	70.3944i	−0.0410730	+	0.186229i
$379$	−620.928			−1.63833			−0.819167	−	0.573555i	$-0.805564\pi$
$379$	−620.928			−1.63833			−0.819167	+	0.573555i	$0.805564\pi$
$380$	3.27567	+	6.44386i	0.00862019	+	0.0169575i
$381$	159.350	−	92.0006i	0.418241	−	0.241471i
$382$	180.884	−	104.433i	0.473518	−	0.273386i
$383$	−102.428	+	177.410i	−0.267435	+	0.463211i	−0.968199	−	0.250182i	$-0.919509\pi$
$383$	−102.428	+	177.410i	−0.267435	+	0.463211i	0.700764	+	0.713393i	$0.252843\pi$
$384$		−	215.507i		−	0.561215i
$385$	−61.7222	+	222.691i	−0.160317	+	0.578419i
$386$	138.134			0.357859
$387$	−51.6663	−	29.8296i	−0.133505	−	0.0770790i
$388$	−4.32272	−	7.48718i	−0.0111410	−	0.0192969i
$389$	118.635	+	205.482i	0.304974	+	0.528231i	0.977256	−	0.212065i	$-0.0680188\pi$
$389$	118.635	+	205.482i	0.304974	+	0.528231i	−0.672281	+	0.740296i	$0.734686\pi$
$390$	−166.208	−	326.962i	−0.426174	−	0.838365i
$391$			29.3240i			0.0749974i
$392$	−227.532	−	323.447i	−0.580439	−	0.825119i
$393$			207.889i			0.528979i
$394$	−83.9247	+	145.362i	−0.213007	+	0.368939i
$395$	9.18953	−	172.244i	0.0232646	−	0.436060i
$396$	−0.715534	−	1.23934i	−0.00180690	−	0.00312965i
$397$	332.765	−	576.367i	0.838200	−	1.45181i	−0.0531979	−	0.998584i	$-0.516941\pi$
$397$	332.765	−	576.367i	0.838200	−	1.45181i	0.891398	−	0.453221i	$-0.149725\pi$
$398$	−325.412			−0.817617
$399$	231.304	−	73.2073i	0.579710	−	0.183477i
$400$	−159.027	−	358.999i	−0.397568	−	0.897497i
$401$	189.198	−	327.700i	0.471815	−	0.817208i	−0.527665	−	0.849453i	$-0.676932\pi$
$401$	189.198	−	327.700i	0.471815	−	0.817208i	0.999480	+	0.0322448i	$0.0102656\pi$
$402$	49.5868	+	85.8868i	0.123350	+	0.213649i
$403$	−1122.60	+	648.135i	−2.78561	+	1.60827i
$404$	−3.58864	−	2.07190i	−0.00888278	−	0.00512848i
$405$	−37.7171	−	24.5443i	−0.0931286	−	0.0606032i
$406$	13.6903	−	62.0732i	0.0337201	−	0.152890i
$407$			71.5300i			0.175749i
$408$	193.674	+	111.818i	0.474691	+	0.274063i
$409$	329.967	−	190.507i	0.806766	−	0.465787i	−0.0390652	−	0.999237i	$-0.512438\pi$
$409$	329.967	−	190.507i	0.806766	−	0.465787i	0.845832	+	0.533450i	$0.179105\pi$
$410$	−9.56395	+	179.262i	−0.0233267	+	0.437224i
$411$	350.328	+	202.262i	0.852380	+	0.492122i
$412$	−4.74620			−0.0115199
$413$	19.7815	+	18.0868i	0.0478971	+	0.0437937i
$414$	10.8979			0.0263234
$415$	316.441	−	160.860i	0.762508	−	0.387614i
$416$	−21.3912	+	12.3502i	−0.0514211	+	0.0296880i
$417$	−95.7080	+	55.2571i	−0.229516	+	0.132511i
$418$	130.920	−	226.759i	0.313205	−	0.542486i
$419$		−	368.460i		−	0.879379i	−0.898150	−	0.439690i	$-0.855088\pi$
$419$		−	368.460i		−	0.879379i	0.898150	−	0.439690i	$-0.144912\pi$
$420$	4.24019	−	1.09726i	0.0100957	−	0.00261252i
$421$	294.472			0.699457			0.349729	−	0.936851i	$-0.386274\pi$
$421$	294.472			0.699457			0.349729	+	0.936851i	$0.386274\pi$
$422$	309.238	+	178.539i	0.732792	+	0.423078i
$423$	131.549	+	227.850i	0.310991	+	0.538653i
$424$	54.0049	+	93.5393i	0.127370	+	0.220611i
$425$	397.687	+	42.5558i	0.935734	+	0.100131i
$426$		−	337.872i		−	0.793127i
$427$	54.2946	−	246.176i	0.127154	−	0.576526i
$428$		−	9.19396i		−	0.0214812i
$429$	122.192	−	211.643i	0.284830	−	0.493341i
$430$	10.4986	−	196.780i	0.0244153	−	0.457627i
$431$	218.472	+	378.404i	0.506895	+	0.877968i	0.999968	+	0.00797991i	$0.00254011\pi$
$431$	218.472	+	378.404i	0.506895	+	0.877968i	−0.493073	+	0.869988i	$0.664127\pi$
$432$	40.8048	−	70.6760i	0.0944556	−	0.163602i
$433$	678.283			1.56647			0.783237	−	0.621724i	$-0.213567\pi$
$433$	678.283			1.56647			0.783237	+	0.621724i	$0.213567\pi$
$434$	253.921	+	802.286i	0.585072	+	1.84858i
$435$	33.2586	+	21.6430i	0.0764566	+	0.0497539i
$436$	2.35335	−	4.07613i	0.00539760	−	0.00934892i
$437$	−18.3390	−	31.7640i	−0.0419656	−	0.0726865i
$438$	358.295	−	206.862i	0.818026	−	0.472287i
$439$	−283.562	−	163.715i	−0.645928	−	0.372927i	0.140966	−	0.990014i	$-0.454979\pi$
$439$	−283.562	−	163.715i	−0.645928	−	0.372927i	−0.786894	+	0.617088i	$0.788312\pi$
$440$	145.319	−	223.310i	0.330269	−	0.507524i
$441$	−13.1311	−	146.412i	−0.0297757	−	0.332001i
$442$			677.566i			1.53295i
$443$	−327.473	−	189.067i	−0.739216	−	0.426787i	0.0825680	−	0.996585i	$-0.473688\pi$
$443$	−327.473	−	189.067i	−0.739216	−	0.426787i	−0.821784	+	0.569799i	$0.807021\pi$
$444$	1.17410	−	0.677866i	0.00264436	−	0.00152672i
$445$	667.999	+	35.6390i	1.50112	+	0.0800876i
$446$	−436.175	−	251.826i	−0.977970	−	0.564631i
$447$	368.583			0.824570
$448$	137.534	+	434.552i	0.306997	+	0.969981i
$449$	−84.0926			−0.187289			−0.0936444	−	0.995606i	$-0.529852\pi$
$449$	−84.0926			−0.187289			−0.0936444	+	0.995606i	$0.529852\pi$
$450$	15.8153	−	147.795i	0.0351452	−	0.328434i
$451$	−103.586	+	59.8054i	−0.229681	+	0.132606i
$452$	5.77289	−	3.33298i	0.0127719	−	0.00737384i
$453$	−163.871	+	283.833i	−0.361746	+	0.626562i
$454$		−	326.028i		−	0.718124i
$455$	524.326	+	533.400i	1.15237	+	1.17231i
$456$	−279.719			−0.613419
$457$	209.133	+	120.743i	0.457621	+	0.264207i	0.711043	−	0.703148i	$-0.248223\pi$
$457$	209.133	+	120.743i	0.457621	+	0.264207i	−0.253423	+	0.967356i	$0.581556\pi$
$458$	−108.238	−	187.474i	−0.236328	−	0.409332i
$459$	41.5648	+	71.9923i	0.0905551	+	0.156846i
$460$	−0.300051	−	0.590255i	−0.000652284	−	0.00128316i
$461$		−	576.884i		−	1.25137i	−0.780074	−	0.625687i	$-0.784819\pi$
$461$		−	576.884i		−	1.25137i	0.780074	−	0.625687i	$-0.215181\pi$
$462$	−117.085	−	107.054i	−0.253431	−	0.231719i
$463$			535.082i			1.15568i	0.816149	+	0.577842i	$0.196105\pi$
$463$			535.082i			1.15568i	−0.816149	+	0.577842i	$0.803895\pi$
$464$	−35.9814	+	62.3216i	−0.0775461	+	0.134314i
$465$	−524.569	−	27.9867i	−1.12811	−	0.0601865i
$466$	18.2087	+	31.5383i	0.0390744	+	0.0676788i
$467$	16.2608	−	28.1645i	0.0348197	−	0.0603095i	−0.848090	−	0.529852i	$-0.822248\pi$
$467$	16.2608	−	28.1645i	0.0348197	−	0.0603095i	0.882910	+	0.469542i	$0.155581\pi$
$468$	−4.63190			−0.00989722
$469$	−149.254	−	136.467i	−0.318238	−	0.290974i
$470$	−473.999	+	728.392i	−1.00851	+	1.54977i
$471$	−66.2408	+	114.732i	−0.140639	+	0.243593i
$472$	−15.4516	−	26.7630i	−0.0327365	−	0.0567012i
$473$	113.709	−	65.6497i	0.240399	−	0.138794i
$474$	102.554	+	59.2098i	0.216359	+	0.124915i
$475$	−457.392	+	202.613i	−0.962931	+	0.426554i
$476$	−7.90114	−	1.74261i	−0.0165990	−	0.00366094i
$477$			40.1493i			0.0841705i
$478$	−143.544	−	82.8752i	−0.300301	−	0.173379i
$479$	234.740	−	135.527i	0.490063	−	0.282938i	−0.234538	−	0.972107i	$-0.575358\pi$
$479$	234.740	−	135.527i	0.490063	−	0.282938i	0.724601	+	0.689169i	$0.242024\pi$
$480$	−9.99566	−	0.533287i	−0.0208243	−	0.00111102i
$481$	200.502	+	115.760i	0.416843	+	0.240665i
$482$	180.340			0.374150
$483$	−21.1874	+	6.70576i	−0.0438663	+	0.0138836i
$484$	−5.59260			−0.0115550
$485$	533.353	−	271.125i	1.09970	−	0.559020i
$486$	26.7550	−	15.4470i	0.0550515	−	0.0317840i
$487$	−448.439	+	258.906i	−0.920818	+	0.531635i	−0.883896	−	0.467683i	$-0.845089\pi$
$487$	−448.439	+	258.906i	−0.920818	+	0.531635i	−0.0369223	+	0.999318i	$0.511755\pi$
$488$	−145.324	+	251.709i	−0.297796	+	0.515798i
$489$			273.819i			0.559958i
$490$	411.455	−	257.814i	0.839703	−	0.526152i
$491$	700.753			1.42719			0.713597	−	0.700556i	$-0.247065\pi$
$491$	700.753			1.42719			0.713597	+	0.700556i	$0.247065\pi$
$492$	1.96330	+	1.13351i	0.00399044	+	0.00230388i
$493$	−36.6515	−	63.4823i	−0.0743438	−	0.128767i
$494$	−423.744	−	733.946i	−0.857781	−	1.48572i
$495$	88.2851	−	44.8788i	0.178354	−	0.0906643i
$496$		−	952.684i		−	1.92073i
$497$	207.902	+	656.882i	0.418313	+	1.32170i
$498$			243.706i			0.489369i
$499$	−106.357	+	184.216i	−0.213141	+	0.369171i	−0.952696	−	0.303925i	$-0.901703\pi$
$499$	−106.357	+	184.216i	−0.213141	+	0.369171i	0.739555	+	0.673096i	$0.235036\pi$
$500$	−8.44039	+	3.21264i	−0.0168808	+	0.00642528i
$501$	44.4024	+	76.9072i	0.0886275	+	0.153507i
$502$	402.147	−	696.539i	0.801089	−	1.38753i
$503$	−614.027			−1.22073			−0.610365	−	0.792120i	$-0.708977\pi$
$503$	−614.027			−1.22073			−0.610365	+	0.792120i	$0.708977\pi$
$504$	−36.5024	+	165.505i	−0.0724255	+	0.328383i
$505$	156.414	−	240.361i	0.309731	−	0.475962i
$506$	−11.9922	+	20.7711i	−0.0237000	+	0.0410495i
$507$	−249.138	−	431.520i	−0.491397	−	0.851125i
$508$	6.64695	−	3.83762i	0.0130845	−	0.00755437i
$509$	536.599	+	309.806i	1.05422	+	0.608656i	0.923829	−	0.382806i	$-0.125042\pi$
$509$	536.599	+	309.806i	1.05422	+	0.608656i	0.130394	+	0.991462i	$0.458376\pi$
$510$	−149.766	+	230.145i	−0.293659	+	0.451265i
$511$	−569.301	+	622.644i	−1.11409	+	1.21848i
$512$		−	525.174i		−	1.02573i
$513$	−90.0467	−	51.9885i	−0.175530	−	0.101342i
$514$	79.3368	−	45.8051i	0.154352	−	0.0891151i
$515$	17.4992	−	327.995i	0.0339789	−	0.636884i
$516$	−2.15516	−	1.24428i	−0.00417666	−	0.00241139i
$517$	−579.035			−1.11999
$518$	101.419	−	110.921i	0.195789	−	0.214134i
$519$	156.224			0.301011
$520$	−390.774	−	768.726i	−0.751489	−	1.47832i
$521$	−893.760	+	516.013i	−1.71547	+	0.990428i	−0.788719	+	0.614753i	$0.789256\pi$
$521$	−893.760	+	516.013i	−1.71547	+	0.990428i	−0.926752	+	0.375674i	$0.877411\pi$
$522$	−23.5924	+	13.6211i	−0.0451962	+	0.0260940i
$523$	−30.3733	+	52.6082i	−0.0580752	+	0.100589i	−0.893601	−	0.448861i	$-0.851830\pi$
$523$	−30.3733	+	52.6082i	−0.0580752	+	0.100589i	0.835526	+	0.549451i	$0.185163\pi$
$524$			8.67165i			0.0165490i
$525$	60.1946	+	297.072i	0.114656	+	0.565851i
$526$	−855.949			−1.62728
$527$	840.414	+	485.213i	1.59471	+	0.920708i
$528$	89.8043	+	155.546i	0.170084	+	0.294594i
$529$	−262.820	−	455.218i	−0.496824	−	0.860525i
$530$	−118.219	+	60.0956i	−0.223055	+	0.113388i
$531$		−	11.4873i		−	0.0216334i
$532$	9.64840	−	3.05369i	0.0181361	−	0.00574002i
$533$			387.141i			0.726343i
$534$	−229.628	+	397.728i	−0.430016	+	0.744809i
$535$	635.365	+	33.8979i	1.18760	+	0.0633606i
$536$	116.584	+	201.930i	0.217508	+	0.376735i
$537$	85.3486	−	147.828i	0.158936	−	0.275285i
$538$	−280.035			−0.520511
$539$	293.507	+	136.087i	0.544541	+	0.252480i
$540$	−1.57329	−	1.02381i	−0.00291350	−	0.00189595i
$541$	64.9714	−	112.534i	0.120095	−	0.208011i	−0.799710	−	0.600387i	$-0.795013\pi$
$541$	64.9714	−	112.534i	0.120095	−	0.208011i	0.919805	+	0.392376i	$0.128347\pi$
$542$	7.40303	+	12.8224i	0.0136587	+	0.0236576i
$543$	376.696	−	217.485i	0.693731	−	0.400526i
$544$	16.0141	+	9.24574i	0.0294377	+	0.0169959i
$545$	273.012	+	177.661i	0.500939	+	0.325984i
$546$	−489.561	+	154.945i	−0.896632	+	0.283782i
$547$		−	269.262i		−	0.492252i	−0.969238	−	0.246126i	$-0.920842\pi$
$547$		−	269.262i		−	0.492252i	0.969238	−	0.246126i	$-0.0791577\pi$
$548$	14.6132	+	8.43695i	0.0266665	+	0.0153959i
$549$	−93.5652	+	54.0199i	−0.170428	+	0.0983969i
$550$	264.290	+	192.780i	0.480528	+	0.350508i
$551$	79.4025	+	45.8430i	0.144106	+	0.0831997i
$552$	25.6222			0.0464170
$553$	−235.817	−	52.0098i	−0.426432	−	0.0940502i
$554$	53.6046			0.0967592
$555$	42.5163	+	83.6375i	0.0766059	+	0.150698i
$556$	−3.99227	+	2.30494i	−0.00718034	+	0.00414557i
$557$	160.700	−	92.7801i	0.288510	−	0.166571i	−0.348760	−	0.937212i	$-0.613397\pi$
$557$	160.700	−	92.7801i	0.288510	−	0.166571i	0.637270	+	0.770641i	$0.280064\pi$
$558$	180.324	−	312.329i	0.323160	−	0.559730i
$559$		−	424.973i		−	0.760238i
$560$	−532.173	+	137.713i	−0.950308	+	0.245917i
$561$	−182.954			−0.326121
$562$	−855.214	−	493.758i	−1.52173	−	0.878573i
$563$	−256.418	−	444.129i	−0.455449	−	0.788862i	0.543264	−	0.839562i	$-0.317188\pi$
$563$	−256.418	−	444.129i	−0.455449	−	0.788862i	−0.998714	+	0.0507000i	$0.983855\pi$
$564$	5.48731	+	9.50431i	0.00972928	+	0.0168516i
$565$	209.047	+	411.235i	0.369995	+	0.727849i
$566$			705.423i			1.24633i
$567$	−42.5115	+	46.4948i	−0.0749763	+	0.0820015i
$568$		−	794.376i		−	1.39855i
$569$	−57.5767	+	99.7258i	−0.101189	+	0.175265i	−0.912175	−	0.409801i	$-0.865598\pi$
$569$	−57.5767	+	99.7258i	−0.101189	+	0.175265i	0.810986	+	0.585066i	$0.198931\pi$
$570$	18.2974	−	342.958i	0.0321008	−	0.601680i
$571$	385.360	+	667.463i	0.674886	+	1.16894i	0.976502	+	0.215508i	$0.0691407\pi$
$571$	385.360	+	667.463i	0.674886	+	1.16894i	−0.301616	+	0.953430i	$0.597526\pi$
$572$	5.09700	−	8.82827i	0.00891084	−	0.0154340i
$573$	182.540			0.318569
$574$	245.425	+	54.1289i	0.427570	+	0.0943012i
$575$	41.8970	−	18.5593i	0.0728643	−	0.0322770i
$576$	97.6708	−	169.171i	0.169567	−	0.293699i
$577$	253.489	+	439.056i	0.439322	+	0.760929i	0.997637	−	0.0687005i	$-0.0218853\pi$
$577$	253.489	+	439.056i	0.439322	+	0.760929i	−0.558315	+	0.829629i	$0.688552\pi$
$578$	−56.7330	+	32.7548i	−0.0981540	+	0.0566693i
$579$	104.549	+	60.3612i	0.180568	+	0.104251i
$580$	1.38732	+	0.902792i	0.00239192	+	0.00155654i
$581$	−149.959	−	473.807i	−0.258105	−	0.815503i
$582$			410.760i			0.705774i
$583$	−76.5235	−	44.1808i	−0.131258	−	0.0757819i
$584$	842.393	−	486.356i	1.44245	−	0.832801i
$585$	17.0777	−	320.096i	0.0291927	−	0.547172i
$586$	−19.0892	−	11.0212i	−0.0325755	−	0.0188075i
$587$	−958.495			−1.63287			−0.816435	−	0.577437i	$-0.804053\pi$
$587$	−958.495			−1.63287			−0.816435	+	0.577437i	$0.804053\pi$
$588$	−0.547736	−	6.10729i	−0.000931524	−	0.0103866i
$589$	−1213.79			−2.06077
$590$	33.8243	−	17.1942i	0.0573293	−	0.0291428i
$591$	−127.040	+	73.3463i	−0.214957	+	0.124105i
$592$	−147.357	+	85.0767i	−0.248914	+	0.143711i
$593$	31.5173	−	54.5896i	0.0531489	−	0.0920566i	−0.838227	−	0.545322i	$-0.816408\pi$
$593$	31.5173	−	54.5896i	0.0531489	−	0.0920566i	0.891376	+	0.453265i	$0.149741\pi$
$594$			67.9925i			0.114465i
$595$	149.557	−	539.598i	0.251357	−	0.906887i
$596$	15.3747			0.0257964
$597$	−246.293	−	142.197i	−0.412551	−	0.238187i
$598$	38.8148	+	67.2292i	0.0649077	+	0.112423i
$599$	228.895	+	396.459i	0.382129	+	0.661867i	0.991366	−	0.131121i	$-0.0418576\pi$
$599$	228.895	+	396.459i	0.382129	+	0.661867i	−0.609237	+	0.792988i	$0.708524\pi$
$600$	37.1837	−	347.484i	0.0619728	−	0.579140i
$601$		−	774.741i		−	1.28909i	−0.764568	−	0.644543i	$-0.777048\pi$
$601$		−	774.741i		−	1.28909i	0.764568	−	0.644543i	$-0.222952\pi$
$602$	−269.409	−	59.4185i	−0.447523	−	0.0987018i
$603$			86.6732i			0.143737i
$604$	−6.83554	+	11.8395i	−0.0113171	+	0.0196018i
$605$	20.6198	−	386.487i	0.0340823	−	0.638821i
$606$	98.4398	+	170.503i	0.162442	+	0.281358i
$607$	−256.276	+	443.882i	−0.422200	+	0.731272i	−0.996154	−	0.0876151i	$-0.972075\pi$
$607$	−256.276	+	443.882i	−0.422200	+	0.731272i	0.573954	+	0.818887i	$0.305409\pi$
$608$	−23.1288			−0.0380408
$609$	37.4863	−	40.9988i	0.0615539	−	0.0673215i
$610$	−299.109	−	194.644i	−0.490343	−	0.319089i
$611$	−937.073	+	1623.06i	−1.53367	+	2.65640i
$612$	1.73379	+	3.00301i	0.00283299	+	0.00490688i
$613$	131.925	−	76.1668i	0.215212	−	0.124252i	−0.388520	−	0.921440i	$-0.627013\pi$
$613$	131.925	−	76.1668i	0.215212	−	0.124252i	0.603731	+	0.797188i	$0.293680\pi$
$614$	634.953	+	366.590i	1.03413	+	0.597053i
$615$	−85.5720	+	131.498i	−0.139141	+	0.213818i
$616$	−275.281	−	251.697i	−0.446884	−	0.408599i
$617$			440.775i			0.714384i	0.934031	+	0.357192i	$0.116266\pi$
$617$			440.775i			0.714384i	−0.934031	+	0.357192i	$0.883734\pi$
$618$	195.289	+	112.750i	0.316002	+	0.182444i
$619$	−34.6038	+	19.9785i	−0.0559028	+	0.0322755i	−0.527691	−	0.849436i	$-0.676942\pi$
$619$	−34.6038	+	19.9785i	−0.0559028	+	0.0322755i	0.471788	+	0.881712i	$0.343609\pi$
$620$	−21.8813	−	1.16741i	−0.0352925	−	0.00188292i
$621$	8.24825	+	4.76213i	0.0132822	+	0.00766848i
$622$	−573.167			−0.921490
$623$	201.705	−	914.549i	0.323764	−	1.46798i
$624$	581.335			0.931626
$625$	−190.896	−	595.133i	−0.305433	−	0.952213i
$626$	−354.017	+	204.392i	−0.565522	+	0.326504i
$627$	198.177	−	114.418i	0.316072	−	0.182484i
$628$	−2.76310	+	4.78583i	−0.00439984	+	0.00762074i
$629$		−	173.322i		−	0.275552i
$630$	−200.535	−	55.5812i	−0.318309	−	0.0882241i
$631$	384.003			0.608562			0.304281	−	0.952582i	$-0.401584\pi$
$631$	384.003			0.608562			0.304281	+	0.952582i	$0.401584\pi$
$632$	241.117	+	139.209i	0.381514	+	0.220267i
$633$	156.035	+	270.260i	0.246500	+	0.426951i
$634$	63.5611	+	110.091i	0.100254	+	0.173645i
$635$	240.699	+	473.499i	0.379053	+	0.745668i
$636$			1.67475i			0.00263325i
$637$	856.451	−	602.480i	1.34451	−	0.945808i
$638$		−	59.9552i		−	0.0939737i
$639$	147.642	−	255.724i	0.231052	−	0.400194i
$640$	621.231	+	33.1438i	0.970673	+	0.0517872i
$641$	−572.373	−	991.380i	−0.892938	−	1.54661i	−0.836336	−	0.548218i	$-0.815307\pi$
$641$	−572.373	−	991.380i	−0.892938	−	1.54661i	−0.0566024	−	0.998397i	$-0.518027\pi$
$642$	−218.410	+	378.298i	−0.340203	+	0.589249i
$643$	501.070			0.779269			0.389634	−	0.920970i	$-0.372601\pi$
$643$	501.070			0.779269			0.389634	+	0.920970i	$0.372601\pi$
$644$	−0.883790	+	0.279717i	−0.00137234	+	0.000434343i
$645$	93.9342	−	144.348i	0.145634	−	0.223796i
$646$	−317.228	+	549.454i	−0.491064	+	0.850548i
$647$	322.214	+	558.090i	0.498012	+	0.862582i	0.999997	−	0.00229424i	$-0.000730281\pi$
$647$	322.214	+	558.090i	0.498012	+	0.862582i	−0.501986	+	0.864876i	$0.667397\pi$
$648$	62.9042	−	36.3177i	0.0970743	−	0.0560459i
$649$	21.8945	+	12.6408i	0.0337358	+	0.0194773i
$650$	968.080	−	428.835i	1.48935	−	0.659746i
$651$	−158.396	+	718.181i	−0.243312	+	1.10320i
$652$			11.4218i			0.0175181i
$653$	−858.975	−	495.930i	−1.31543	−	0.759464i	−0.332440	−	0.943124i	$-0.607872\pi$
$653$	−858.975	−	495.930i	−1.31543	−	0.759464i	−0.982990	+	0.183661i	$0.941205\pi$
$654$	−193.664	+	111.812i	−0.296122	+	0.170966i
$655$	−599.270	−	31.9722i	−0.914917	−	0.0488125i
$656$	−246.407	−	142.263i	−0.375621	−	0.216865i
$657$	361.576			0.550343
$658$	897.907	+	820.982i	1.36460	+	1.24769i
$659$	−973.378			−1.47705			−0.738527	−	0.674224i	$-0.764478\pi$
$659$	−973.378			−1.47705			−0.738527	+	0.674224i	$0.764478\pi$
$660$	3.68263	−	1.87203i	0.00557975	−	0.00283641i
$661$	858.076	−	495.411i	1.29815	−	0.749486i	0.318064	−	0.948069i	$-0.396967\pi$
$661$	858.076	−	495.411i	1.29815	−	0.749486i	0.980084	+	0.198583i	$0.0636338\pi$
$662$	276.251	−	159.494i	0.417298	−	0.240927i
$663$	−296.081	+	512.827i	−0.446577	+	0.773495i
$664$			572.981i			0.862923i
$665$	175.458	+	678.029i	0.263846	+	1.01959i
$666$	−64.4131			−0.0967164
$667$	−7.27324	−	4.19921i	−0.0109044	−	0.00629566i
$668$	1.85216	+	3.20803i	0.00277269	+	0.00480244i
$669$	−220.084	−	381.197i	−0.328975	−	0.569801i
$670$	−255.208	+	129.732i	−0.380907	+	0.193631i
$671$		−	237.777i		−	0.354362i
$672$	−3.01824	+	13.6849i	−0.00449142	+	0.0203645i
$673$		−	218.787i		−	0.325092i	−0.986701	−	0.162546i	$-0.948029\pi$
$673$		−	218.787i		−	0.325092i	0.986701	−	0.162546i	$-0.0519706\pi$
$674$	260.347	−	450.934i	0.386272	−	0.669042i
$675$	76.5533	−	104.950i	0.113412	−	0.155482i
$676$	−10.3923	−	18.0000i	−0.0153732	−	0.0266272i
$677$	−46.3222	+	80.2324i	−0.0684227	+	0.118512i	−0.898207	−	0.439572i	$-0.855130\pi$
$677$	−46.3222	+	80.2324i	−0.0684227	+	0.118512i	0.829784	+	0.558084i	$0.188463\pi$
$678$	−316.711			−0.467125
$679$	−252.752	−	798.590i	−0.372241	−	1.17613i
$680$	−352.117	+	541.097i	−0.517820	+	0.795732i
$681$	142.467	−	246.760i	0.209203	−	0.362349i
$682$	396.861	+	687.383i	0.581907	+	1.00789i
$683$	855.321	−	493.820i	1.25230	−	0.723016i	0.280734	−	0.959785i	$-0.409422\pi$
$683$	855.321	−	493.820i	1.25230	−	0.723016i	0.971566	+	0.236770i	$0.0760886\pi$
$684$	−3.75612	−	2.16859i	−0.00549140	−	0.00317046i
$685$	−636.930	+	978.767i	−0.929824	+	1.42886i
$686$	−262.191	−	627.178i	−0.382203	−	0.914253i
$687$		−	189.190i		−	0.275386i
$688$	270.487	+	156.166i	0.393149	+	0.226985i
$689$	−247.682	+	142.999i	−0.359480	+	0.207546i
$690$	−1.67604	+	31.4148i	−0.00242904	+	0.0455287i
$691$	−619.242	−	357.519i	−0.896153	−	0.517394i	−0.0202027	−	0.999796i	$-0.506431\pi$
$691$	−619.242	−	357.519i	−0.896153	−	0.517394i	−0.875950	+	0.482402i	$0.839764\pi$
$692$	6.51659			0.00941703
$693$	−41.8376	−	132.189i	−0.0603717	−	0.190749i
$694$	738.968			1.06480
$695$	−144.567	−	284.391i	−0.208011	−	0.409196i
$696$	−55.4684	+	32.0247i	−0.0796960	+	0.0460125i
$697$	250.996	−	144.913i	0.360109	−	0.207909i
$698$	517.690	−	896.665i	0.741676	−	1.28462i
$699$			31.8271i			0.0455323i
$700$	2.51090	+	12.3917i	0.00358700	+	0.0177025i
$701$	157.215			0.224272			0.112136	−	0.993693i	$-0.464231\pi$
$701$	157.215			0.224272			0.112136	+	0.993693i	$0.464231\pi$
$702$	190.586	+	110.035i	0.271490	+	0.156745i
$703$	108.394	+	187.744i	0.154188	+	0.267062i
$704$	214.956	+	372.315i	0.305336	+	0.528857i
$705$	−677.044	+	344.169i	−0.960346	+	0.488183i
$706$			872.177i			1.23538i
$707$	−296.299	−	270.915i	−0.419093	−	0.383189i
$708$		−	0.479170i		−	0.000676794i
$709$	431.110	−	746.704i	0.608054	−	1.05318i	−0.383507	−	0.923538i	$-0.625284\pi$
$709$	431.110	−	746.704i	0.608054	−	1.05318i	0.991561	−	0.129642i	$-0.0413828\pi$
$710$	973.967	+	51.9630i	1.37179	+	0.0731873i
$711$	51.7466	+	89.6278i	0.0727800	+	0.126059i
$712$	−539.882	+	935.104i	−0.758262	+	1.31335i
$713$	111.183			0.155937
$714$	283.706	+	259.400i	0.397347	+	0.363306i
$715$	591.301	+	384.787i	0.826995	+	0.538164i
$716$	3.56015	−	6.16635i	0.00497227	−	0.00861222i
$717$	−72.4291	−	125.451i	−0.101017	−	0.174966i
$718$	−387.986	+	224.004i	−0.540371	+	0.311983i
$719$	−503.718	−	290.821i	−0.700581	−	0.404481i	0.106983	−	0.994261i	$-0.465881\pi$
$719$	−503.718	−	290.821i	−0.700581	−	0.404481i	−0.807564	+	0.589780i	$0.799214\pi$
$720$	197.459	+	128.496i	0.274248	+	0.178466i
$721$	−449.054	−	99.0396i	−0.622821	−	0.137364i
$722$		−	78.1155i		−	0.108193i
$723$	136.493	+	78.8045i	0.188788	+	0.108997i
$724$	15.7131	−	9.07196i	0.0217032	−	0.0125303i
$725$	−67.5041	+	92.5445i	−0.0931091	+	0.127648i
$726$	230.115	+	132.857i	0.316963	+	0.182999i
$727$	621.129			0.854372			0.427186	−	0.904164i	$-0.359505\pi$
$727$	621.129			0.854372			0.427186	+	0.904164i	$0.359505\pi$
$728$	−1151.01	+	364.293i	−1.58106	+	0.500402i
$729$	27.0000			0.0370370
$730$	541.207	+	1064.65i	0.741379	+	1.45843i
$731$	−275.524	+	159.074i	−0.376914	+	0.217611i
$732$	−3.90288	+	2.25333i	−0.00533180	+	0.00307832i
$733$	365.501	−	633.067i	0.498638	−	0.863665i	−0.501361	−	0.865238i	$-0.667167\pi$
$733$	365.501	−	633.067i	0.498638	−	0.863665i	0.999999	+	0.00157256i	$0.000500562\pi$
$734$			284.781i			0.387985i
$735$	424.075	−	15.3348i	0.576973	−	0.0208637i
$736$	2.11859			0.00287852
$737$	−165.197	−	95.3763i	−0.224147	−	0.129412i
$738$	−53.8550	−	93.2797i	−0.0729743	−	0.126395i
$739$	319.505	+	553.399i	0.432348	+	0.748849i	0.997075	−	0.0764289i	$-0.0243518\pi$
$739$	319.505	+	553.399i	0.432348	+	0.748849i	−0.564727	+	0.825278i	$0.691018\pi$
$740$	1.77348	+	3.48877i	0.00239660	+	0.00471455i
$741$		−	740.665i		−	0.999548i
$742$	56.0231	+	177.010i	0.0755028	+	0.238557i
$743$			486.795i			0.655175i	0.944821	+	0.327588i	$0.106236\pi$
$743$			486.795i			0.655175i	−0.944821	+	0.327588i	$0.893764\pi$
$744$	423.961	−	734.322i	0.569840	−	0.986992i
$745$	−56.6861	+	1062.50i	−0.0760888	+	1.42617i
$746$	−600.145	−	1039.48i	−0.804484	−	1.39341i
$747$	−106.494	+	184.453i	−0.142562	+	0.246925i
$748$	−7.63154			−0.0102026
$749$	191.851	−	869.871i	0.256143	−	1.16138i
$750$	423.610	+	68.3203i	0.564814	+	0.0910937i
$751$	−304.031	+	526.597i	−0.404835	+	0.701195i	−0.994302	−	0.106597i	$-0.966004\pi$
$751$	−304.031	+	526.597i	−0.404835	+	0.701195i	0.589467	+	0.807792i	$0.299338\pi$
$752$	−688.695	−	1192.86i	−0.915818	−	1.58624i
$753$	608.743	−	351.458i	0.808424	−	0.466744i
$754$	−168.057	−	97.0278i	−0.222887	−	0.128684i
$755$	−792.988	−	516.034i	−1.05031	−	0.683489i
$756$	−1.77328	+	1.93944i	−0.00234561	+	0.00256539i
$757$		−	889.150i		−	1.17457i	−0.809380	−	0.587285i	$-0.800197\pi$
$757$		−	889.150i		−	1.17457i	0.809380	−	0.587285i	$-0.199803\pi$
$758$	1065.72	+	615.295i	1.40597	+	0.811735i
$759$	−18.1530	+	10.4806i	−0.0239169	+	0.0138085i
$760$	43.0194	−	806.333i	0.0566044	−	1.06096i
$761$	918.591	+	530.349i	1.20708	+	0.696910i	0.962121	−	0.272622i	$-0.0878909\pi$
$761$	918.591	+	530.349i	1.20708	+	0.696910i	0.244963	+	0.969532i	$0.421224\pi$
$762$	−364.664			−0.478561
$763$	307.716	−	336.549i	0.403297	−	0.441086i
$764$	7.61428			0.00996633
$765$	−213.921	+	108.745i	−0.279636	+	0.142150i
$766$	351.601	−	202.997i	0.459009	−	0.265009i
$767$	70.8654	−	40.9142i	0.0923929	−	0.0533431i
$768$	12.0094	−	20.8009i	0.0156372	−	0.0270845i
$769$			1226.40i			1.59480i	0.603448	+	0.797402i	$0.293793\pi$
$769$			1226.40i			1.59480i	−0.603448	+	0.797402i	$0.706207\pi$
$770$	326.607	−	321.051i	0.424165	−	0.416950i
$771$	80.0632			0.103843
$772$	4.36104	+	2.51784i	0.00564901	+	0.00326146i
$773$	346.998	+	601.018i	0.448898	+	0.777513i	0.998315	−	0.0580349i	$-0.0184835\pi$
$773$	346.998	+	601.018i	0.448898	+	0.777513i	−0.549417	+	0.835548i	$0.685150\pi$
$774$	59.1179	+	102.395i	0.0763797	+	0.132293i
$775$	161.352	−	1507.85i	0.208196	−	1.94561i
$776$			965.744i			1.24452i
$777$	125.230	−	39.6351i	0.161172	−	0.0510104i
$778$		−	470.235i		−	0.604415i
$779$	−181.254	+	313.942i	−0.232676	+	0.403006i
$780$	0.712362	−	13.3522i	0.000913285	−	0.0171181i
$781$	324.935	+	562.804i	0.416050	+	0.720620i
$782$	29.0579	−	50.3298i	0.0371585	−	0.0643604i
$783$	−23.8084			−0.0304066
$784$	68.7446	+	766.507i	0.0876844	+	0.977687i
$785$	−320.546	−	208.594i	−0.408339	−	0.265725i
$786$	206.003	−	356.807i	0.262090	−	0.453953i
$787$	−187.309	−	324.429i	−0.238004	−	0.412235i	0.722137	−	0.691750i	$-0.243160\pi$
$787$	−187.309	−	324.429i	−0.238004	−	0.412235i	−0.960142	+	0.279514i	$0.909827\pi$
$788$	−5.29920	+	3.05949i	−0.00672487	+	0.00388261i
$789$	−647.839	−	374.030i	−0.821089	−	0.474056i
$790$	−186.453	+	286.522i	−0.236017	+	0.362686i
$791$	615.742	−	194.881i	0.778435	−	0.246373i
$792$			159.858i			0.201841i
$793$	−666.498	−	384.803i	−0.840477	−	0.485250i
$794$	−1142.28	+	659.493i	−1.43863	+	0.830596i
$795$	−115.737	−	6.17476i	−0.145581	−	0.00776699i
$796$	−10.2736	−	5.93148i	−0.0129066	−	0.00745160i
$797$	1102.96			1.38389			0.691947	−	0.721948i	$-0.256753\pi$
$797$	1102.96			1.38389			0.691947	+	0.721948i	$0.256753\pi$
$798$	−469.540	−	103.558i	−0.588395	−	0.129771i
$799$	1403.04			1.75600
$800$	3.07456	−	28.7320i	0.00384320	−	0.0359150i
$801$	−347.596	+	200.685i	−0.433953	+	0.250543i
$802$	−649.455	+	374.963i	−0.809794	+	0.467535i
$803$	−397.883	+	689.153i	−0.495495	+	0.858223i
$804$			3.61539i			0.00449676i
$805$	−16.0719	−	62.1072i	−0.0199650	−	0.0771518i
$806$	2569.02			3.18737
$807$	−211.949	−	122.369i	−0.262638	−	0.151634i
$808$	231.443	+	400.871i	0.286440	+	0.496128i
$809$	−39.6255	−	68.6334i	−0.0489808	−	0.0848373i	0.840496	−	0.541819i	$-0.182264\pi$
$809$	−39.6255	−	68.6334i	−0.0489808	−	0.0848373i	−0.889476	+	0.456981i	$0.848931\pi$
$810$	40.4136	+	79.5012i	0.0498934	+	0.0981496i
$811$		−	561.470i		−	0.692318i	−0.938176	−	0.346159i	$-0.887486\pi$
$811$		−	561.470i		−	0.692318i	0.938176	−	0.346159i	$-0.112514\pi$
$812$	1.56367	−	1.71018i	0.00192570	−	0.00210613i
$813$			12.9398i			0.0159161i
$814$	70.8811	−	122.770i	0.0870775	−	0.150823i
$815$	−789.326	−	42.1120i	−0.968498	−	0.0516712i
$816$	−217.602	−	376.899i	−0.266670	−	0.461885i
$817$	198.967	−	344.621i	0.243534	−	0.421812i
$818$	−755.114			−0.923122
$819$	−438.240	−	96.6544i	−0.535091	−	0.118015i
$820$	−3.56946	+	5.48517i	−0.00435300	+	0.00668924i
$821$	201.907	−	349.713i	0.245928	−	0.425960i	−0.716464	−	0.697624i	$-0.754241\pi$
$821$	201.907	−	349.713i	0.245928	−	0.425960i	0.962392	+	0.271664i	$0.0875739\pi$
$822$	−400.854	−	694.300i	−0.487657	−	0.844647i
$823$	−1186.85	+	685.228i	−1.44210	+	0.832598i	−0.997990	−	0.0633735i	$-0.979814\pi$
$823$	−1186.85	+	685.228i	−1.44210	+	0.832598i	−0.444112	+	0.895971i	$0.646481\pi$
$824$	459.147	+	265.088i	0.557217	+	0.321709i
$825$	115.792	+	261.397i	0.140354	+	0.316845i
$826$	−16.0290	−	50.6451i	−0.0194056	−	0.0613137i
$827$			297.863i			0.360173i	0.983651	+	0.180086i	$0.0576378\pi$
$827$			297.863i			0.360173i	−0.983651	+	0.180086i	$0.942362\pi$
$828$	0.344059	+	0.198643i	0.000415530	+	0.000239906i
$829$	−352.766	+	203.670i	−0.425532	+	0.245681i	−0.697441	−	0.716642i	$-0.745678\pi$
$829$	−352.766	+	203.670i	−0.425532	+	0.245681i	0.271909	+	0.962323i	$0.412345\pi$
$830$	−702.519	−	37.4807i	−0.846409	−	0.0451575i
$831$	40.5715	+	23.4240i	0.0488225	+	0.0281877i
$832$	1391.49			1.67246
$833$	−711.190	−	329.748i	−0.853769	−	0.395856i
$834$	219.023			0.262618
$835$	−228.526	+	116.169i	−0.273683	+	0.139124i
$836$	8.26656	−	4.77270i	0.00988823	−	0.00570897i
$837$	272.962	−	157.594i	0.326119	−	0.188285i
$838$	−365.117	+	632.401i	−0.435701	+	0.754656i
$839$		−	1238.46i		−	1.47611i	−0.674739	−	0.738056i	$-0.735744\pi$
$839$		−	1238.46i		−	1.47611i	0.674739	−	0.738056i	$-0.264256\pi$
$840$	−471.480	−	130.678i	−0.561286	−	0.155569i
$841$	−820.006			−0.975037
$842$	−505.413	−	291.800i	−0.600252	−	0.346556i
$843$	−431.522	−	747.418i	−0.511888	−	0.886617i
$844$	6.50867	+	11.2734i	0.00771170	+	0.0133571i
$845$	1282.24	−	651.813i	1.51744	−	0.771377i
$846$		−	521.424i		−	0.616340i
$847$	−529.134	−	116.701i	−0.624716	−	0.137782i
$848$		−	210.192i		−	0.247868i
$849$	−308.254	+	533.911i	−0.363079	+	0.628870i
$850$	−640.395	−	467.119i	−0.753406	−	0.549552i
$851$	−9.92888	−	17.1973i	−0.0116673	−	0.0202084i
$852$	6.15860	−	10.6670i	0.00722840	−	0.0125200i
$853$	243.147			0.285049			0.142525	−	0.989791i	$-0.454478\pi$
$853$	243.147			0.285049			0.142525	+	0.989791i	$0.454478\pi$
$854$	−337.131	+	368.720i	−0.394767	+	0.431756i
$855$	163.713	−	251.578i	0.191478	−	0.294243i
$856$	−513.508	+	889.422i	−0.599892	+	1.03904i
$857$	76.0495	+	131.722i	0.0887392	+	0.153701i	0.906978	−	0.421177i	$-0.138383\pi$
$857$	76.0495	+	131.722i	0.0887392	+	0.153701i	−0.818239	+	0.574878i	$0.805050\pi$
$858$	−419.446	+	242.167i	−0.488865	+	0.282246i
$859$	−1070.00	−	617.763i	−1.24563	−	0.719165i	−0.275395	−	0.961331i	$-0.588809\pi$
$859$	−1070.00	−	617.763i	−1.24563	−	0.719165i	−0.970235	+	0.242166i	$0.922142\pi$
$860$	3.91828	−	6.02120i	0.00455613	−	0.00700139i
$861$	162.101	+	148.214i	0.188271	+	0.172141i
$862$		−	865.959i		−	1.00459i
$863$	782.524	+	451.790i	0.906749	+	0.523512i	0.879384	−	0.476114i	$-0.157955\pi$
$863$	782.524	+	451.790i	0.906749	+	0.523512i	0.0273650	+	0.999626i	$0.491288\pi$
$864$	5.20129	−	3.00296i	0.00602001	−	0.00347565i
$865$	−24.0265	+	450.341i	−0.0277763	+	0.520625i
$866$	−1164.16	−	672.129i	−1.34430	−	0.776131i
$867$	−57.2524			−0.0660351
$868$	−6.60716	+	29.9575i	−0.00761194	+	0.0345132i
$869$	−227.771			−0.262107
$870$	−35.6364	−	70.1035i	−0.0409614	−	0.0805787i
$871$	−534.687	+	308.702i	−0.613878	+	0.354422i
$872$	−455.326	+	262.883i	−0.522163	+	0.301471i
$873$	−179.493	+	310.891i	−0.205605	+	0.356118i
$874$			72.6903i			0.0831697i
$875$	−865.612	+	127.832i	−0.989271	+	0.146094i
$876$	15.0824			0.0172173
$877$	550.416	+	317.783i	0.627613	+	0.362352i	0.779827	−	0.625995i	$-0.215307\pi$
$877$	550.416	+	317.783i	0.627613	+	0.362352i	−0.152214	+	0.988348i	$0.548640\pi$
$878$	324.459	+	561.980i	0.369543	+	0.640068i
$879$	−9.63200	−	16.6831i	−0.0109579	−	0.0189797i
$880$	−462.195	+	234.953i	−0.525222	+	0.266991i
$881$			1453.08i			1.64935i	0.565605	+	0.824677i	$0.308643\pi$
$881$			1453.08i			1.64935i	−0.565605	+	0.824677i	$0.691357\pi$
$882$	−122.547	+	264.305i	−0.138942	+	0.299665i
$883$		−	279.559i		−	0.316601i	−0.987391	−	0.158301i	$-0.949399\pi$
$883$		−	279.559i		−	0.316601i	0.987391	−	0.158301i	$-0.0506015\pi$
$884$	−12.3504	+	21.3915i	−0.0139711	+	0.0241986i
$885$	33.1139	+	1.76669i	0.0374169	+	0.00199626i
$886$	374.703	+	649.004i	0.422915	+	0.732510i
$887$	−241.249	+	417.855i	−0.271983	+	0.471088i	−0.969369	−	0.245607i	$-0.921013\pi$
$887$	−241.249	+	417.855i	−0.271983	+	0.471088i	0.697387	+	0.716695i	$0.254346\pi$
$888$	−151.443			−0.170544
$889$	708.970	−	224.387i	0.797492	−	0.252404i
$890$	−1111.20	−	723.107i	−1.24853	−	0.812480i
$891$	−29.7112	+	51.4612i	−0.0333459	+	0.0577567i
$892$	−9.18036	−	15.9008i	−0.0102919	−	0.0178261i
$893$	−1519.79	+	877.451i	−1.70189	+	0.982588i
$894$	−632.612	−	365.239i	−0.707620	−	0.408545i
$895$	413.011	+	268.766i	0.461465	+	0.300297i
$896$	187.583	−	850.520i	0.209356	−	0.949241i
$897$			67.8447i			0.0756351i
$898$	144.331	+	83.3297i	0.160725	+	0.0927948i
$899$	−240.695	+	138.966i	−0.267737	+	0.154578i
$900$	3.19327	−	4.37779i	0.00354807	−	0.00486422i
$901$	185.422	+	107.053i	0.205796	+	0.118816i
$902$	237.051			0.262806
$903$	−177.942	−	162.697i	−0.197056	−	0.180174i
$904$	−744.624			−0.823699
$905$	569.001	+	1119.33i	0.628730	+	1.23683i
$906$	562.515	−	324.768i	0.620878	−	0.358464i
$907$	1039.95	−	600.414i	1.14658	−	0.661978i	0.198528	−	0.980095i	$-0.436384\pi$
$907$	1039.95	−	600.414i	1.14658	−	0.661978i	0.948051	+	0.318118i	$0.103051\pi$
$908$	5.94272	−	10.2931i	0.00654484	−	0.0113360i
$909$			172.064i			0.189289i
$910$	−371.360	−	1435.06i	−0.408088	−	1.57699i
$911$	1298.64			1.42551			0.712753	−	0.701415i	$-0.247448\pi$
$911$	1298.64			1.42551			0.712753	+	0.701415i	$0.247448\pi$
$912$	471.418	+	272.173i	0.516906	+	0.298436i
$913$	−234.375	−	405.949i	−0.256708	−	0.444632i
$914$	−239.295	−	414.471i	−0.261810	−	0.453469i
$915$	−141.331	−	278.024i	−0.154460	−	0.303851i
$916$		−	7.89169i		−	0.00861539i
$917$	−180.952	+	820.454i	−0.197331	+	0.894716i
$918$		−	164.751i		−	0.179467i
$919$	−162.902	+	282.155i	−0.177260	+	0.307024i	−0.940941	−	0.338570i	$-0.890057\pi$
$919$	−162.902	+	282.155i	−0.177260	+	0.307024i	0.763681	+	0.645594i	$0.223390\pi$
$920$	−3.94056	+	73.8598i	−0.00428322	+	0.0802824i
$921$	320.383	+	554.920i	0.347864	+	0.602519i
$922$	−571.650	+	990.127i	−0.620011	+	1.07389i
$923$	2103.42			2.27889
$924$	−1.74517	−	5.51401i	−0.00188871	−	0.00596754i
$925$	−247.636	+	109.697i	−0.267715	+	0.118591i
$926$	530.227	−	918.380i	0.572600	−	0.991772i
$927$	98.5385	+	170.674i	0.106298	+	0.184114i
$928$	−4.58645	+	2.64799i	−0.00494230	+	0.00285344i
$929$	−1297.10	−	748.880i	−1.39623	−	0.806114i	−0.402235	−	0.915537i	$-0.631766\pi$
$929$	−1297.10	−	748.880i	−1.39623	−	0.806114i	−0.993995	+	0.109423i	$0.965100\pi$
$930$	872.604	+	567.845i	0.938284	+	0.610586i
$931$	976.589	−	87.5859i	1.04897	−	0.0940772i
$932$			1.32760i			0.00142446i
$933$	−433.811	−	250.461i	−0.464963	−	0.268447i
$934$	−55.8180	+	32.2265i	−0.0597623	+	0.0345038i
$935$	28.1373	−	527.392i	0.0300934	−	0.564055i
$936$	448.089	+	258.704i	0.478728	+	0.276393i
$937$	−1375.13			−1.46759			−0.733796	−	0.679370i	$-0.762253\pi$
$937$	−1375.13			−1.46759			−0.733796	+	0.679370i	$0.762253\pi$
$938$	120.941	+	382.123i	0.128935	+	0.407381i
$939$	−357.258			−0.380466
$940$	−28.2415	+	14.3563i	−0.0300442	+	0.0152727i
$941$	110.091	−	63.5613i	0.116994	−	0.0675465i	−0.440361	−	0.897821i	$-0.645150\pi$
$941$	110.091	−	63.5613i	0.116994	−	0.0675465i	0.557355	+	0.830274i	$0.311816\pi$
$942$	227.383	−	131.280i	0.241383	−	0.139363i
$943$	16.6028	−	28.7570i	0.0176064	−	0.0304952i
$944$			60.1391i			0.0637067i
$945$	−127.490	−	129.697i	−0.134910	−	0.137245i
$946$	−260.216			−0.275070
$947$	−1063.39	−	613.951i	−1.12291	−	0.648311i	−0.180766	−	0.983526i	$-0.557858\pi$
$947$	−1063.39	−	613.951i	−1.12291	−	0.648311i	−0.942142	+	0.335215i	$0.891191\pi$
$948$	2.15851	+	3.73864i	0.00227690	+	0.00394371i
$949$	1287.82	+	2230.56i	1.35702	+	2.35044i
$950$	985.814	+	105.490i	1.03770	+	0.111042i
$951$			111.099i			0.116823i
$952$	667.025	+	609.880i	0.700656	+	0.640630i
$953$		−	351.252i		−	0.368575i	−0.982872	−	0.184288i	$-0.941002\pi$
$953$		−	351.252i		−	0.368575i	0.982872	−	0.184288i	$-0.0589978\pi$
$954$	39.7851	−	68.9098i	0.0417034	−	0.0722325i
$955$	−28.0737	+	526.199i	−0.0293965	+	0.550993i
$956$	−3.02123	−	5.23293i	−0.00316029	−	0.00547378i
$957$	26.1991	−	45.3781i	0.0273762	−	0.0474170i
$958$	−537.191			−0.560742
$959$	1206.55	+	1103.18i	1.25813	+	1.15035i
$960$	472.639	+	307.568i	0.492332	+	0.320384i
$961$	1359.21	−	2354.21i	1.41437	−	2.44975i
$962$	−229.419	−	397.365i	−0.238481	−	0.413062i
$963$	−330.615	+	190.881i	−0.343318	+	0.198215i
$964$	5.69355	+	3.28717i	0.00590617	+	0.00340993i
$965$	−190.079	+	292.094i	−0.196973	+	0.302688i
$966$	43.0097	+	9.48585i	0.0445235	+	0.00981972i
$967$		−	809.550i		−	0.837177i	−0.908176	−	0.418588i	$-0.862525\pi$
$967$		−	809.550i		−	0.837177i	0.908176	−	0.418588i	$-0.137475\pi$
$968$	541.027	+	312.362i	0.558912	+	0.322688i
$969$	−480.198	+	277.242i	−0.495560	+	0.286112i
$970$	−1184.08	−	63.1728i	−1.22070	−	0.0651266i
$971$	−853.738	−	492.906i	−0.879236	−	0.507627i	−0.00882979	−	0.999961i	$-0.502811\pi$
$971$	−853.738	−	492.906i	−0.879236	−	0.507627i	−0.870407	+	0.492334i	$0.836144\pi$
$972$	1.12625			0.00115869
$973$	−425.819	+	134.771i	−0.437635	+	0.138510i
$974$	1026.23			1.05362
$975$	920.099	+	98.4582i	0.943691	+	0.100983i
$976$	489.838	−	282.808i	0.501883	−	0.289762i
$977$	814.008	−	469.968i	0.833171	−	0.481031i	−0.0217664	−	0.999763i	$-0.506929\pi$
$977$	814.008	−	469.968i	0.833171	−	0.481031i	0.854937	+	0.518732i	$0.173596\pi$
$978$	271.335	−	469.966i	0.277439	−	0.480538i
$979$		−	883.344i		−	0.902292i
$980$	17.6894	−	0.639661i	0.0180504	−	0.000652716i
$981$	−195.437			−0.199222
$982$	−1202.73	−	694.395i	−1.22477	−	0.707123i
$983$	276.232	+	478.448i	0.281009	+	0.486722i	0.971634	−	0.236492i	$-0.0759976\pi$
$983$	276.232	+	478.448i	0.281009	+	0.486722i	−0.690624	+	0.723214i	$0.742664\pi$
$984$	−126.619	−	219.311i	−0.128678	−	0.222877i
$985$	−191.894	−	377.491i	−0.194816	−	0.383240i
$986$			145.276i			0.147339i
$987$	320.846	+	1013.74i	0.325072	+	1.02709i
$988$		−	30.8954i		−	0.0312706i
$989$	−18.2253	+	31.5672i	−0.0184280	+	0.0319183i
$990$	−195.999	−	10.4569i	−0.197978	−	0.0105625i
$991$	−208.648	−	361.389i	−0.210543	−	0.364671i	0.741342	−	0.671128i	$-0.234190\pi$
$991$	−208.648	−	361.389i	−0.210543	−	0.364671i	−0.951885	+	0.306457i	$0.900856\pi$
$992$	35.0556	−	60.7181i	0.0353383	−	0.0612077i
$993$	278.780			0.280745
$994$	294.094	−	1333.45i	0.295869	−	1.34150i
$995$	447.784	−	688.108i	0.450034	−	0.691566i
$996$	−4.44218	+	7.69408i	−0.00446002	+	0.00772498i
$997$	777.245	+	1346.23i	0.779584	+	1.35028i	0.932182	+	0.361990i	$0.117903\pi$
$997$	777.245	+	1346.23i	0.779584	+	1.35028i	−0.152598	+	0.988288i	$0.548764\pi$
$998$	365.090	−	210.785i	0.365822	−	0.211207i
$999$	−48.7521	−	28.1471i	−0.0488009	−	0.0281752i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	105.3.r.a.19.5	✓	32
3.2	odd	2		315.3.bi.e.19.12		32
5.2	odd	4		525.3.o.p.376.6		16
5.3	odd	4		525.3.o.q.376.3		16
5.4	even	2	inner	105.3.r.a.19.12	yes	32
7.2	even	3		735.3.e.a.244.28		32
7.3	odd	6	inner	105.3.r.a.94.12	yes	32
7.5	odd	6		735.3.e.a.244.4		32
15.14	odd	2		315.3.bi.e.19.5		32
21.17	even	6		315.3.bi.e.199.5		32
35.3	even	12		525.3.o.q.451.3		16
35.9	even	6		735.3.e.a.244.3		32
35.17	even	12		525.3.o.p.451.6		16
35.19	odd	6		735.3.e.a.244.27		32
35.24	odd	6	inner	105.3.r.a.94.5	yes	32
105.59	even	6		315.3.bi.e.199.12		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
105.3.r.a.19.5	✓	32	1.1	even	1	trivial
105.3.r.a.19.12	yes	32	5.4	even	2	inner
105.3.r.a.94.5	yes	32	35.24	odd	6	inner
105.3.r.a.94.12	yes	32	7.3	odd	6	inner
315.3.bi.e.19.5		32	15.14	odd	2
315.3.bi.e.19.12		32	3.2	odd	2
315.3.bi.e.199.5		32	21.17	even	6
315.3.bi.e.199.12		32	105.59	even	6
525.3.o.p.376.6		16	5.2	odd	4
525.3.o.p.451.6		16	35.17	even	12
525.3.o.q.376.3		16	5.3	odd	4
525.3.o.q.451.3		16	35.3	even	12
735.3.e.a.244.3		32	35.9	even	6
735.3.e.a.244.4		32	7.5	odd	6
735.3.e.a.244.27		32	35.19	odd	6
735.3.e.a.244.28		32	7.2	even	3

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:	\( N \)	\(=\)	\( 105 = 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	105.r (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.71634 - 0.990928i) q^{2} +(-0.866025 - 1.50000i) q^{3} +(-0.0361245 - 0.0625695i) q^{4} +(4.45717 - 2.26576i) q^{5} +3.43267i q^{6} +(-2.11222 - 6.67372i) q^{7} +8.07061i q^{8} +(-1.50000 + 2.59808i) q^{9} +O(q^{10})\)	\(q+(-1.71634 - 0.990928i) q^{2} +(-0.866025 - 1.50000i) q^{3} +(-0.0361245 - 0.0625695i) q^{4} +(4.45717 - 2.26576i) q^{5} +3.43267i q^{6} +(-2.11222 - 6.67372i) q^{7} +8.07061i q^{8} +(-1.50000 + 2.59808i) q^{9} +(-9.89520 - 0.527928i) q^{10} +(-3.30124 - 5.71792i) q^{11} +(-0.0625695 + 0.108373i) q^{12} -21.3701 q^{13} +(-2.98790 + 13.5474i) q^{14} +(-7.25866 - 4.72355i) q^{15} +(7.85289 - 13.6016i) q^{16} +(7.99915 + 13.8549i) q^{17} +(5.14901 - 2.97278i) q^{18} +(-17.3295 - 10.0052i) q^{19} +(-0.302780 - 0.197033i) q^{20} +(-8.18135 + 8.94793i) q^{21} +13.0852i q^{22} +(1.58738 + 0.916472i) q^{23} +(12.1059 - 6.98935i) q^{24} +(14.7327 - 20.1977i) q^{25} +(36.6783 + 21.1762i) q^{26} +5.19615 q^{27} +(-0.341268 + 0.373245i) q^{28} -4.58193 q^{29} +(7.77761 + 15.3000i) q^{30} +(52.5315 - 30.3291i) q^{31} +(1.00099 - 0.577921i) q^{32} +(-5.71792 + 9.90372i) q^{33} -31.7063i q^{34} +(-24.5355 - 24.9601i) q^{35} +0.216747 q^{36} +(-9.38236 - 5.41691i) q^{37} +(19.8288 + 34.3446i) q^{38} +(18.5070 + 32.0551i) q^{39} +(18.2860 + 35.9721i) q^{40} -18.1160i q^{41} +(22.9087 - 7.25055i) q^{42} +19.8864i q^{43} +(-0.238511 + 0.413114i) q^{44} +(-0.799141 + 14.9787i) q^{45} +(-1.81632 - 3.14595i) q^{46} +(43.8498 - 75.9500i) q^{47} -27.2032 q^{48} +(-40.0771 + 28.1927i) q^{49} +(-45.3007 + 20.0671i) q^{50} +(13.8549 - 23.9974i) q^{51} +(0.771983 + 1.33711i) q^{52} +(11.5901 - 6.69155i) q^{53} +(-8.91835 - 5.14901i) q^{54} +(-27.6696 - 18.0059i) q^{55} +(53.8610 - 17.0469i) q^{56} +34.6590i q^{57} +(7.86413 + 4.54036i) q^{58} +(-3.31610 + 1.91455i) q^{59} +(-0.0333346 + 0.624806i) q^{60} +(31.1884 + 18.0066i) q^{61} -120.216 q^{62} +(20.5072 + 4.52288i) q^{63} -65.1138 q^{64} +(-95.2500 + 48.4194i) q^{65} +(19.6277 - 11.3321i) q^{66} +(25.0204 - 14.4455i) q^{67} +(0.577930 - 1.00100i) q^{68} -3.17475i q^{69} +(17.3776 + 67.1529i) q^{70} -98.4282 q^{71} +(-20.9681 - 12.1059i) q^{72} +(-60.2626 - 104.378i) q^{73} +(10.7355 + 18.5945i) q^{74} +(-43.0555 - 4.60729i) q^{75} +1.44573i q^{76} +(-31.1868 + 34.1090i) q^{77} -73.3565i q^{78} +(17.2489 - 29.8759i) q^{79} +(4.18371 - 78.4174i) q^{80} +(-4.50000 - 7.79423i) q^{81} +(-17.9517 + 31.0932i) q^{82} +70.9960 q^{83} +(0.855414 + 0.188663i) q^{84} +(67.0454 + 43.6296i) q^{85} +(19.7060 - 34.1317i) q^{86} +(3.96806 + 6.87289i) q^{87} +(46.1471 - 26.6430i) q^{88} +(115.865 + 66.8949i) q^{89} +(16.2144 - 24.9166i) q^{90} +(45.1382 + 142.618i) q^{91} -0.132428i q^{92} +(-90.9872 - 52.5315i) q^{93} +(-150.522 + 86.9039i) q^{94} +(-99.9098 - 5.33037i) q^{95} +(-1.73376 - 1.00099i) q^{96} +119.662 q^{97} +(96.7227 - 8.67463i) q^{98} +19.8074 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q + 32 q^{4} - 6 q^{5} - 48 q^{9}+O(q^{10}) \) 32 * q + 32 * q^4 - 6 * q^5 - 48 * q^9	\( 32 q + 32 q^{4} - 6 q^{5} - 48 q^{9} + 78 q^{10} - 28 q^{11} + 60 q^{14} - 24 q^{15} - 40 q^{16} - 60 q^{19} + 12 q^{21} - 34 q^{25} - 96 q^{26} - 88 q^{29} + 84 q^{31} - 170 q^{35} - 192 q^{36} + 36 q^{39} + 330 q^{40} + 320 q^{44} + 18 q^{45} - 60 q^{46} + 356 q^{49} + 12 q^{51} - 468 q^{56} - 804 q^{59} - 198 q^{60} + 336 q^{61} - 400 q^{64} - 46 q^{65} - 108 q^{66} - 438 q^{70} + 344 q^{71} + 900 q^{74} + 144 q^{75} - 20 q^{79} + 1140 q^{80} - 144 q^{81} + 780 q^{84} + 304 q^{85} + 144 q^{86} + 24 q^{89} - 224 q^{91} - 924 q^{94} - 342 q^{95} + 900 q^{96} + 168 q^{99}+O(q^{100}) \) 32 * q + 32 * q^4 - 6 * q^5 - 48 * q^9 + 78 * q^10 - 28 * q^11 + 60 * q^14 - 24 * q^15 - 40 * q^16 - 60 * q^19 + 12 * q^21 - 34 * q^25 - 96 * q^26 - 88 * q^29 + 84 * q^31 - 170 * q^35 - 192 * q^36 + 36 * q^39 + 330 * q^40 + 320 * q^44 + 18 * q^45 - 60 * q^46 + 356 * q^49 + 12 * q^51 - 468 * q^56 - 804 * q^59 - 198 * q^60 + 336 * q^61 - 400 * q^64 - 46 * q^65 - 108 * q^66 - 438 * q^70 + 344 * q^71 + 900 * q^74 + 144 * q^75 - 20 * q^79 + 1140 * q^80 - 144 * q^81 + 780 * q^84 + 304 * q^85 + 144 * q^86 + 24 * q^89 - 224 * q^91 - 924 * q^94 - 342 * q^95 + 900 * q^96 + 168 * q^99

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