LMFDB - Embedded newform 201.3.k.a.14.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,3,Mod(14,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([11, 8]))

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

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

chi := DirichletCharacter("201.14");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	201.k (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.47685331364$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			14.9
Character	$\chi$	$=$	201.14
Dual form			201.3.k.a.158.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.54256 + 1.16115i) q^{2} +(2.76891 + 1.15463i) q^{3} +(2.49692 - 2.88159i) q^{4} +(-7.65897 + 1.10119i) q^{5} +(-8.38081 + 0.279405i) q^{6} +(-3.95633 - 8.66315i) q^{7} +(0.147343 - 0.501803i) q^{8} +(6.33368 + 6.39410i) q^{9} +O(q^{10})$	\(q+(-2.54256 + 1.16115i) q^{2} +(2.76891 + 1.15463i) q^{3} +(2.49692 - 2.88159i) q^{4} +(-7.65897 + 1.10119i) q^{5} +(-8.38081 + 0.279405i) q^{6} +(-3.95633 - 8.66315i) q^{7} +(0.147343 - 0.501803i) q^{8} +(6.33368 + 6.39410i) q^{9} +(18.1948 - 11.6931i) q^{10} +(19.9062 - 2.86208i) q^{11} +(10.2409 - 5.09586i) q^{12} +(-2.32754 + 0.683427i) q^{13} +(20.1184 + 17.4327i) q^{14} +(-22.4784 - 5.79414i) q^{15} +(2.37857 + 16.5433i) q^{16} +(9.28344 - 8.04414i) q^{17} +(-23.5283 - 8.90305i) q^{18} +(8.22218 - 18.0041i) q^{19} +(-15.9506 + 24.8196i) q^{20} +(-0.952004 - 28.5555i) q^{21} +(-47.2895 + 30.3911i) q^{22} +(-13.1062 + 20.3937i) q^{23} +(0.987373 - 1.21932i) q^{24} +(33.4598 - 9.82468i) q^{25} +(5.12435 - 4.44028i) q^{26} +(10.1546 + 25.0177i) q^{27} +(-34.8423 - 10.2306i) q^{28} -18.9358i q^{29} +(63.8807 - 11.3688i) q^{30} +(9.31668 + 2.73562i) q^{31} +(-24.1259 - 37.5406i) q^{32} +(58.4231 + 15.0594i) q^{33} +(-14.2633 + 31.2322i) q^{34} +(39.8412 + 61.9941i) q^{35} +(34.2399 - 2.28556i) q^{36} +47.8005 q^{37} +55.3236i q^{38} +(-7.23384 - 0.795091i) q^{39} +(-0.575910 + 4.00555i) q^{40} +(47.9701 - 41.5664i) q^{41} +(35.5778 + 71.4988i) q^{42} +(-49.6368 - 57.2839i) q^{43} +(41.4568 - 64.5080i) q^{44} +(-55.5506 - 41.9976i) q^{45} +(9.64327 - 67.0704i) q^{46} +(16.7965 - 26.1359i) q^{47} +(-12.5153 + 48.5532i) q^{48} +(-27.3095 + 31.5169i) q^{49} +(-73.6657 + 63.8317i) q^{50} +(34.9929 - 11.5546i) q^{51} +(-3.84231 + 8.41348i) q^{52} +(-13.8708 - 12.0191i) q^{53} +(-54.8679 - 51.8181i) q^{54} +(-149.309 + 43.8412i) q^{55} +(-4.93013 + 0.708846i) q^{56} +(43.5544 - 40.3580i) q^{57} +(21.9873 + 48.1454i) q^{58} +(-9.08244 + 30.9319i) q^{59} +(-72.8231 + 50.3062i) q^{60} +(11.2058 - 77.9380i) q^{61} +(-26.8647 + 3.86256i) q^{62} +(30.3350 - 80.1668i) q^{63} +(48.6910 + 31.2918i) q^{64} +(17.0739 - 7.79741i) q^{65} +(-166.031 + 29.5485i) q^{66} +(58.6122 + 32.4594i) q^{67} -46.8366i q^{68} +(-59.8369 + 41.3353i) q^{69} +(-173.283 - 111.362i) q^{70} +(-4.33025 - 3.75218i) q^{71} +(4.14180 - 2.23614i) q^{72} +(0.159107 - 1.10662i) q^{73} +(-121.536 + 55.5036i) q^{74} +(103.991 + 11.4299i) q^{75} +(-31.3503 - 68.6476i) q^{76} +(-103.550 - 161.127i) q^{77} +(19.3157 - 6.37800i) q^{78} +(66.5092 - 19.5289i) q^{79} +(-36.4347 - 124.085i) q^{80} +(-0.769028 + 80.9963i) q^{81} +(-73.7023 + 161.386i) q^{82} +(-63.5054 + 9.13070i) q^{83} +(-84.6625 - 68.5575i) q^{84} +(-62.2434 + 71.8327i) q^{85} +(192.720 + 88.0122i) q^{86} +(21.8638 - 52.4314i) q^{87} +(1.49683 - 10.4107i) q^{88} +(5.44998 + 8.48033i) q^{89} +(190.006 + 42.2790i) q^{90} +(15.1291 + 17.4600i) q^{91} +(26.0411 + 88.6880i) q^{92} +(22.6384 + 18.3320i) q^{93} +(-12.3585 + 85.9554i) q^{94} +(-43.1474 + 146.947i) q^{95} +(-23.4570 - 131.803i) q^{96} -49.5406 q^{97} +(32.8404 - 111.844i) q^{98} +(144.380 + 109.155i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9}+O(q^{10}) $ 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9	$ 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9} - 34 q^{10} - 123 q^{12} + 10 q^{13} + 19 q^{15} - 226 q^{16} - 33 q^{18} - 100 q^{19} + 85 q^{21} - 454 q^{22} - 251 q^{24} + 142 q^{25} - 53 q^{27} + 642 q^{28} - 80 q^{30} - 130 q^{31} + 104 q^{33} + 26 q^{34} + 67 q^{36} - 144 q^{37} + 117 q^{39} - 182 q^{40} + 193 q^{42} - 156 q^{43} + 341 q^{45} - 746 q^{46} - 485 q^{48} - 354 q^{49} - 125 q^{51} + 1130 q^{52} + 272 q^{54} - 590 q^{55} + 15 q^{57} - 274 q^{58} - 217 q^{60} - 1134 q^{61} + 279 q^{63} + 58 q^{64} + 1288 q^{66} - 87 q^{69} + 1038 q^{70} - 977 q^{72} + 1208 q^{73} - 751 q^{75} + 1126 q^{76} - 11 q^{78} + 678 q^{79} + 125 q^{81} + 510 q^{82} + 191 q^{84} + 166 q^{85} + 1080 q^{87} + 62 q^{88} - 105 q^{90} + 550 q^{91} + 635 q^{93} + 986 q^{94} - 1632 q^{96} - 112 q^{97} - 500 q^{99}+O(q^{100}) $ 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9 - 34 * q^10 - 123 * q^12 + 10 * q^13 + 19 * q^15 - 226 * q^16 - 33 * q^18 - 100 * q^19 + 85 * q^21 - 454 * q^22 - 251 * q^24 + 142 * q^25 - 53 * q^27 + 642 * q^28 - 80 * q^30 - 130 * q^31 + 104 * q^33 + 26 * q^34 + 67 * q^36 - 144 * q^37 + 117 * q^39 - 182 * q^40 + 193 * q^42 - 156 * q^43 + 341 * q^45 - 746 * q^46 - 485 * q^48 - 354 * q^49 - 125 * q^51 + 1130 * q^52 + 272 * q^54 - 590 * q^55 + 15 * q^57 - 274 * q^58 - 217 * q^60 - 1134 * q^61 + 279 * q^63 + 58 * q^64 + 1288 * q^66 - 87 * q^69 + 1038 * q^70 - 977 * q^72 + 1208 * q^73 - 751 * q^75 + 1126 * q^76 - 11 * q^78 + 678 * q^79 + 125 * q^81 + 510 * q^82 + 191 * q^84 + 166 * q^85 + 1080 * q^87 + 62 * q^88 - 105 * q^90 + 550 * q^91 + 635 * q^93 + 986 * q^94 - 1632 * q^96 - 112 * q^97 - 500 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$68$	$136$
$\chi(n)$	$-1$	$e\left(\frac{4}{11}\right)$

Coefficient data

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

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

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

$2$	−2.54256	+	1.16115i	−1.27128	+	0.580575i	−0.932799	−	0.360398i	$-0.882641\pi$
$2$	−2.54256	+	1.16115i	−1.27128	+	0.580575i	−0.338483	+	0.940973i	$0.609914\pi$
$3$	2.76891	+	1.15463i	0.922969	+	0.384875i
$3$	2.76891	+	1.15463i	0.922969	+	0.384875i
$4$	2.49692	−	2.88159i	0.624229	−	0.720398i
$5$	−7.65897	+	1.10119i	−1.53179	+	0.220239i	−0.856048	−	0.516897i	$-0.827087\pi$
$5$	−7.65897	+	1.10119i	−1.53179	+	0.220239i	−0.675745	+	0.737135i	$0.736178\pi$
$6$	−8.38081	+	0.279405i	−1.39680	+	0.0465675i
$7$	−3.95633	−	8.66315i	−0.565190	−	1.23759i	−0.949319	−	0.314314i	$-0.898225\pi$
$7$	−3.95633	−	8.66315i	−0.565190	−	1.23759i	0.384129	−	0.923279i	$-0.374502\pi$
$8$	0.147343	−	0.501803i	0.0184178	−	0.0627254i
$9$	6.33368	+	6.39410i	0.703742	+	0.710456i
$10$	18.1948	−	11.6931i	1.81948	−	1.16931i
$11$	19.9062	−	2.86208i	1.80966	−	0.260189i	0.847132	−	0.531383i	$-0.178327\pi$
$11$	19.9062	−	2.86208i	1.80966	−	0.260189i	0.962525	+	0.271193i	$0.0874183\pi$
$12$	10.2409	−	5.09586i	0.853407	−	0.424655i
$13$	−2.32754	+	0.683427i	−0.179041	+	0.0525713i	−0.370024	−	0.929022i	$-0.620651\pi$
$13$	−2.32754	+	0.683427i	−0.179041	+	0.0525713i	0.190983	+	0.981593i	$0.438832\pi$
$14$	20.1184	+	17.4327i	1.43703	+	1.24519i
$15$	−22.4784	−	5.79414i	−1.49856	−	0.386276i
$16$	2.37857	+	16.5433i	0.148660	+	1.03396i
$17$	9.28344	−	8.04414i	0.546085	−	0.473185i	−0.337586	−	0.941295i	$-0.609610\pi$
$17$	9.28344	−	8.04414i	0.546085	−	0.473185i	0.883670	+	0.468110i	$0.155065\pi$
$18$	−23.5283	−	8.90305i	−1.30713	−	0.494614i
$19$	8.22218	−	18.0041i	0.432746	−	0.947582i	−0.560127	−	0.828407i	$-0.689248\pi$
$19$	8.22218	−	18.0041i	0.432746	−	0.947582i	0.992873	−	0.119175i	$-0.0380250\pi$
$20$	−15.9506	+	24.8196i	−0.797530	+	1.24098i
$21$	−0.952004	−	28.5555i	−0.0453335	−	1.35979i
$22$	−47.2895	+	30.3911i	−2.14952	+	1.38142i
$23$	−13.1062	+	20.3937i	−0.569835	+	0.886681i	−0.999870	−	0.0161317i	$-0.994865\pi$
$23$	−13.1062	+	20.3937i	−0.569835	+	0.886681i	0.430035	+	0.902812i	$0.358501\pi$
$24$	0.987373	−	1.21932i	0.0411405	−	0.0508050i
$25$	33.4598	−	9.82468i	1.33839	−	0.392987i
$26$	5.12435	−	4.44028i	0.197090	−	0.170780i
$27$	10.1546	+	25.0177i	0.376095	+	0.926581i
$28$	−34.8423	−	10.2306i	−1.24437	−	0.365379i
$29$		−	18.9358i		−	0.652958i	−0.945204	−	0.326479i	$-0.894138\pi$
$29$		−	18.9358i		−	0.652958i	0.945204	−	0.326479i	$-0.105862\pi$
$30$	63.8807	−	11.3688i	2.12936	−	0.378961i
$31$	9.31668	+	2.73562i	0.300538	+	0.0882460i	0.428525	−	0.903530i	$-0.359033\pi$
$31$	9.31668	+	2.73562i	0.300538	+	0.0882460i	−0.127987	+	0.991776i	$0.540852\pi$
$32$	−24.1259	−	37.5406i	−0.753934	−	1.17314i
$33$	58.4231	+	15.0594i	1.77040	+	0.456345i
$34$	−14.2633	+	31.2322i	−0.419508	+	0.918594i
$35$	39.8412	+	61.9941i	1.13832	+	1.77126i
$36$	34.2399	−	2.28556i	0.951107	−	0.0634879i
$37$	47.8005			1.29191			0.645953	−	0.763377i	$-0.276460\pi$
$37$	47.8005			1.29191			0.645953	+	0.763377i	$0.276460\pi$
$38$			55.3236i			1.45588i
$39$	−7.23384	−	0.795091i	−0.185483	−	0.0203869i
$40$	−0.575910	+	4.00555i	−0.0143978	+	0.100139i
$41$	47.9701	−	41.5664i	1.17000	−	1.01381i	0.170408	−	0.985374i	$-0.445492\pi$
$41$	47.9701	−	41.5664i	1.17000	−	1.01381i	0.999596	−	0.0284400i	$-0.00905395\pi$
$42$	35.5778	+	71.4988i	0.847090	+	1.70235i
$43$	−49.6368	−	57.2839i	−1.15434	−	1.33218i	−0.934214	−	0.356713i	$-0.883897\pi$
$43$	−49.6368	−	57.2839i	−1.15434	−	1.33218i	−0.220130	−	0.975471i	$-0.570648\pi$
$44$	41.4568	−	64.5080i	0.942200	−	1.46609i
$45$	−55.5506	−	41.9976i	−1.23446	−	0.933280i
$46$	9.64327	−	67.0704i	0.209636	−	1.45805i
$47$	16.7965	−	26.1359i	0.357373	−	0.556083i	−0.615291	−	0.788300i	$-0.710962\pi$
$47$	16.7965	−	26.1359i	0.357373	−	0.556083i	0.972664	+	0.232217i	$0.0745980\pi$
$48$	−12.5153	+	48.5532i	−0.260735	+	1.01152i
$49$	−27.3095	+	31.5169i	−0.557337	+	0.643201i
$50$	−73.6657	+	63.8317i	−1.47331	+	1.27663i
$51$	34.9929	−	11.5546i	0.686136	−	0.226560i
$52$	−3.84231	+	8.41348i	−0.0738905	+	0.161798i
$53$	−13.8708	−	12.0191i	−0.261713	−	0.226775i	0.514113	−	0.857722i	$-0.328121\pi$
$53$	−13.8708	−	12.0191i	−0.261713	−	0.226775i	−0.775826	+	0.630947i	$0.782667\pi$
$54$	−54.8679	−	51.8181i	−1.01607	−	0.959594i
$55$	−149.309	+	43.8412i	−2.71472	+	0.797112i
$56$	−4.93013	+	0.708846i	−0.0880381	+	0.0126580i
$57$	43.5544	−	40.3580i	0.764112	−	0.708035i
$58$	21.9873	+	48.1454i	0.379091	+	0.830094i
$59$	−9.08244	+	30.9319i	−0.153940	+	0.524270i	−0.999961	−	0.00887943i	$-0.997174\pi$
$59$	−9.08244	+	30.9319i	−0.153940	+	0.524270i	0.846021	+	0.533150i	$0.178992\pi$
$60$	−72.8231	+	50.3062i	−1.21372	+	0.838437i
$61$	11.2058	−	77.9380i	0.183701	−	1.27767i	−0.664215	−	0.747542i	$-0.731234\pi$
$61$	11.2058	−	77.9380i	0.183701	−	1.27767i	0.847916	−	0.530130i	$-0.177857\pi$
$62$	−26.8647	+	3.86256i	−0.433302	+	0.0622994i
$63$	30.3350	−	80.1668i	0.481507	−	1.27249i
$64$	48.6910	+	31.2918i	0.760798	+	0.488935i
$65$	17.0739	−	7.79741i	0.262676	−	0.119960i
$66$	−166.031	+	29.5485i	−2.51562	+	0.447704i
$67$	58.6122	+	32.4594i	0.874809	+	0.484469i
$67$	58.6122	+	32.4594i	0.874809	+	0.484469i
$68$		−	46.8366i		−	0.688774i
$69$	−59.8369	+	41.3353i	−0.867201	+	0.599063i
$70$	−173.283	−	111.362i	−2.47547	−	1.59089i
$71$	−4.33025	−	3.75218i	−0.0609895	−	0.0528477i	0.623833	−	0.781558i	$-0.285575\pi$
$71$	−4.33025	−	3.75218i	−0.0609895	−	0.0528477i	−0.684822	+	0.728710i	$0.740120\pi$
$72$	4.14180	−	2.23614i	0.0575250	−	0.0310574i
$73$	0.159107	−	1.10662i	0.00217955	−	0.0151591i	−0.988703	−	0.149890i	$-0.952108\pi$
$73$	0.159107	−	1.10662i	0.00217955	−	0.0151591i	0.990882	+	0.134731i	$0.0430171\pi$
$74$	−121.536	+	55.5036i	−1.64238	+	0.750048i
$75$	103.991	+	11.4299i	1.38654	+	0.152399i
$76$	−31.3503	−	68.6476i	−0.412504	−	0.903257i
$77$	−103.550	−	161.127i	−1.34481	−	2.09256i
$78$	19.3157	−	6.37800i	0.247637	−	0.0817692i
$79$	66.5092	−	19.5289i	0.841889	−	0.247201i	0.167772	−	0.985826i	$-0.446343\pi$
$79$	66.5092	−	19.5289i	0.841889	−	0.247201i	0.674116	+	0.738625i	$0.264525\pi$
$80$	−36.4347	−	124.085i	−0.455434	−	1.55107i
$81$	−0.769028	+	80.9963i	−0.00949417	+	0.999955i
$82$	−73.7023	+	161.386i	−0.898809	+	1.96812i
$83$	−63.5054	+	9.13070i	−0.765126	+	0.110008i	−0.513819	−	0.857899i	$-0.671770\pi$
$83$	−63.5054	+	9.13070i	−0.765126	+	0.110008i	−0.251307	+	0.967907i	$0.580860\pi$
$84$	−84.6625	−	68.5575i	−1.00789	−	0.816160i
$85$	−62.2434	+	71.8327i	−0.732275	+	0.845090i
$86$	192.720	+	88.0122i	2.24093	+	1.02340i
$87$	21.8638	−	52.4314i	0.251308	−	0.602660i
$88$	1.49683	−	10.4107i	0.0170095	−	0.118304i
$89$	5.44998	+	8.48033i	0.0612357	+	0.0952846i	0.870521	−	0.492131i	$-0.163782\pi$
$89$	5.44998	+	8.48033i	0.0612357	+	0.0952846i	−0.809286	+	0.587415i	$0.800145\pi$
$90$	190.006	+	42.2790i	2.11118	+	0.469767i
$91$	15.1291	+	17.4600i	0.166254	+	0.191868i
$92$	26.0411	+	88.6880i	0.283056	+	0.964000i
$93$	22.6384	+	18.3320i	0.243424	+	0.197118i
$94$	−12.3585	+	85.9554i	−0.131474	+	0.914419i
$95$	−43.1474	+	146.947i	−0.454183	+	1.54681i
$96$	−23.4570	−	131.803i	−0.244343	−	1.37295i
$97$	−49.5406			−0.510727			−0.255364	−	0.966845i	$-0.582195\pi$
$97$	−49.5406			−0.510727			−0.255364	+	0.966845i	$0.582195\pi$
$98$	32.8404	−	111.844i	0.335106	−	1.14127i
$99$	144.380	+	109.155i	1.45838	+	1.10257i
$100$	55.2355	−	120.949i	0.552355	−	1.20949i
$101$	72.7239	+	33.2119i	0.720039	+	0.328831i	0.741513	−	0.670939i	$-0.234109\pi$
$101$	72.7239	+	33.2119i	0.720039	+	0.328831i	−0.0214741	+	0.999769i	$0.506836\pi$
$102$	−75.5551	+	70.0103i	−0.740737	+	0.686375i
$103$	−18.9161	−	5.55426i	−0.183651	−	0.0539248i	0.188614	−	0.982051i	$-0.439601\pi$
$103$	−18.9161	−	5.55426i	−0.183651	−	0.0539248i	−0.372265	+	0.928127i	$0.621419\pi$
$104$			1.26866i			0.0121987i
$105$	38.7365	+	217.658i	0.368919	+	2.07293i
$106$	49.2233	+	14.4533i	0.464371	+	0.136351i
$107$	−124.801	−	17.9437i	−1.16636	−	0.167698i	−0.468191	−	0.883627i	$-0.655094\pi$
$107$	−124.801	−	17.9437i	−1.16636	−	0.167698i	−0.698173	+	0.715929i	$0.746003\pi$
$108$	97.4459	+	33.2057i	0.902277	+	0.307460i
$109$	−183.575	+	53.9025i	−1.68418	+	0.494519i	−0.977129	−	0.212648i	$-0.931791\pi$
$109$	−183.575	+	53.9025i	−1.68418	+	0.494519i	−0.707047	+	0.707167i	$0.749973\pi$
$110$	328.722	−	284.839i	2.98838	−	2.58945i
$111$	132.355	+	55.1917i	1.19239	+	0.497223i
$112$	133.907	−	86.0566i	1.19560	−	0.768363i
$113$	−14.5488	−	2.09180i	−0.128750	−	0.0185115i	0.0776384	−	0.996982i	$-0.475262\pi$
$113$	−14.5488	−	2.09180i	−0.128750	−	0.0185115i	−0.206389	+	0.978470i	$0.566171\pi$
$114$	−63.8781	+	153.186i	−0.560334	+	1.34374i
$115$	77.9226	−	170.627i	0.677588	−	1.48371i
$116$	−54.5653	−	47.2811i	−0.470390	−	0.407595i
$117$	−19.1118	−	10.5539i	−0.163349	−	0.0902043i
$118$	−12.8239	−	89.1925i	−0.108677	−	0.755868i
$119$	−106.416	−	48.5986i	−0.894252	−	0.408391i
$120$	−6.21955	+	10.4260i	−0.0518296	+	0.0868835i
$121$	271.968	−	79.8569i	2.24767	−	0.659974i
$122$	62.0062	+	211.174i	0.508248	+	1.73093i
$123$	180.818	−	59.7058i	1.47007	−	0.485413i
$124$	31.1459	−	20.0163i	0.251177	−	0.161422i
$125$	−69.4865	+	31.7334i	−0.555892	+	0.253867i
$126$	15.9571	+	239.053i	0.126644	+	1.89724i
$127$	−28.7671	−	62.9913i	−0.226513	−	0.495994i	0.761917	−	0.647675i	$-0.224259\pi$
$127$	−28.7671	−	62.9913i	−0.226513	−	0.495994i	−0.988429	+	0.151681i	$0.951531\pi$
$128$	16.5471	+	2.37912i	0.129275	+	0.0185869i
$129$	−71.2981	−	215.926i	−0.552699	−	1.67384i
$130$	−34.3576	+	39.6508i	−0.264289	+	0.305006i
$131$	−45.6342	+	71.0082i	−0.348352	+	0.542047i	−0.970577	−	0.240792i	$-0.922593\pi$
$131$	−45.6342	+	71.0082i	−0.348352	+	0.542047i	0.622224	+	0.782839i	$0.286229\pi$
$132$	189.273	−	130.750i	1.43388	−	0.990527i
$133$	−188.502			−1.41730
$134$	−186.715	−	14.4726i	−1.39340	−	0.108004i
$135$	−105.323	−	180.427i	−0.780169	−	1.33650i
$136$	−2.66873	−	5.84370i	−0.0196230	−	0.0429684i
$137$	14.9221	−	23.2193i	0.108921	−	0.169484i	−0.782514	−	0.622633i	$-0.786063\pi$
$137$	14.9221	−	23.2193i	0.108921	−	0.169484i	0.891435	+	0.453149i	$0.149699\pi$
$138$	104.143	−	174.577i	0.754656	−	1.26505i
$139$	3.96504	+	27.5775i	0.0285255	+	0.198399i	0.999101	−	0.0423988i	$-0.0135000\pi$
$139$	3.96504	+	27.5775i	0.0285255	+	0.198399i	−0.970575	+	0.240798i	$0.922591\pi$
$140$	278.122	+	39.9879i	1.98659	+	0.285628i
$141$	76.6851	−	52.9741i	0.543866	−	0.375703i
$142$	15.3668	+	4.51210i	0.108217	+	0.0317753i
$143$	−44.3765	+	20.2661i	−0.310325	+	0.141721i
$144$	−90.7144	+	119.989i	−0.629961	+	0.833255i
$145$	20.8520	+	145.029i	0.143807	+	1.00020i
$146$	0.880407	+	2.99839i	0.00603018	+	0.0205369i
$147$	−112.008	+	55.7350i	−0.761957	+	0.379149i
$148$	119.354	−	137.742i	0.806445	−	0.930688i
$149$	−108.875	−	49.7214i	−0.730702	−	0.333700i	0.0150837	−	0.999886i	$-0.495199\pi$
$149$	−108.875	−	49.7214i	−0.730702	−	0.333700i	−0.745786	+	0.666186i	$0.767926\pi$
$150$	−277.675	+	91.6876i	−1.85117	+	0.611251i
$151$	178.014	+	205.439i	1.17890	+	1.36052i	0.918695	+	0.394968i	$0.129244\pi$
$151$	178.014	+	205.439i	1.17890	+	1.36052i	0.260204	+	0.965554i	$0.416210\pi$
$152$	−7.82301	−	6.77868i	−0.0514672	−	0.0445966i
$153$	110.233	+	8.41020i	0.720480	+	0.0549686i
$154$	450.376	+	289.439i	2.92452	+	1.87947i
$155$	−74.3686	−	10.6926i	−0.479797	−	0.0689844i
$156$	−20.3534	+	18.8597i	−0.130471	+	0.120896i
$157$	117.926	+	75.7863i	0.751120	+	0.482715i	0.859336	−	0.511412i	$-0.170877\pi$
$157$	117.926	+	75.7863i	0.751120	+	0.482715i	−0.108216	+	0.994127i	$0.534514\pi$
$158$	−146.428	+	126.880i	−0.926759	+	0.803041i
$159$	−24.5293	−	49.2953i	−0.154272	−	0.310033i
$160$	226.119	+	260.955i	1.41324	+	1.63097i
$161$	228.526	+	32.8571i	1.41942	+	0.204081i
$162$	−92.0936	−	206.831i	−0.568479	−	1.27674i
$163$	8.64772			0.0530535			0.0265267	−	0.999648i	$-0.491555\pi$
$163$	8.64772			0.0530535			0.0265267	+	0.999648i	$0.491555\pi$
$164$		−	242.018i		−	1.47572i
$165$	−464.044	−	51.0043i	−2.81239	−	0.309117i
$166$	150.864	−	96.9547i	0.908822	−	0.584064i
$167$	−207.622	−	94.8177i	−1.24324	−	0.567770i	−0.318342	−	0.947976i	$-0.603126\pi$
$167$	−207.622	−	94.8177i	−1.24324	−	0.567770i	−0.924902	+	0.380206i	$0.875853\pi$
$168$	−14.4695	−	3.72973i	−0.0861282	−	0.0222008i
$169$	−137.221	+	88.1869i	−0.811961	+	0.521816i
$170$	74.8492	−	254.913i	0.440289	−	1.49949i
$171$	167.196	−	61.4585i	0.977756	−	0.359406i
$172$	−289.008			−1.68028
$173$	−42.1707	+	143.620i	−0.243761	+	0.830175i	0.743179	+	0.669092i	$0.233317\pi$
$173$	−42.1707	+	143.620i	−0.243761	+	0.830175i	−0.986941	+	0.161083i	$0.948501\pi$
$174$	5.29076	+	158.697i	0.0304067	+	0.912053i
$175$	−217.491	−	250.998i	−1.24280	−	1.43427i
$176$	94.6966	+	322.507i	0.538049	+	1.83243i
$177$	−60.8632	+	75.1608i	−0.343860	+	0.424637i
$178$	−23.7038	−	15.2335i	−0.133168	−	0.0855816i
$179$	126.621	+	197.026i	0.707378	+	1.10070i	0.989945	+	0.141455i	$0.0451779\pi$
$179$	126.621	+	197.026i	0.707378	+	1.10070i	−0.282566	+	0.959248i	$0.591186\pi$
$180$	−259.725	+	55.2097i	−1.44292	+	0.306721i
$181$	158.455	+	101.833i	0.875439	+	0.562611i	0.899412	−	0.437102i	$-0.143995\pi$
$181$	158.455	+	101.833i	0.875439	+	0.562611i	−0.0239727	+	0.999713i	$0.507631\pi$
$182$	−58.7404	−	26.8259i	−0.322750	−	0.147395i
$183$	121.017	−	202.864i	0.661295	−	1.10855i
$184$	8.30250	+	9.58159i	0.0451223	+	0.0520739i
$185$	−366.103	+	52.6376i	−1.97893	+	0.284528i
$186$	−78.8457	−	20.3236i	−0.423902	−	0.109267i
$187$	161.775	−	186.698i	0.865108	−	0.998388i
$188$	−33.3735	−	113.660i	−0.177519	−	0.604573i
$189$	176.557	−	186.949i	0.934166	−	0.989147i
$190$	−60.9220	−	423.722i	−0.320642	−	2.23011i
$191$	−15.4572	−	24.0519i	−0.0809279	−	0.125926i	0.798430	−	0.602088i	$-0.205664\pi$
$191$	−15.4572	−	24.0519i	−0.0809279	−	0.125926i	−0.879358	+	0.476161i	$0.842028\pi$
$192$	98.6906	+	142.864i	0.514013	+	0.744084i
$193$	76.1163	+	22.3498i	0.394385	+	0.115802i	0.472911	−	0.881110i	$-0.343203\pi$
$193$	76.1163	+	22.3498i	0.394385	+	0.115802i	−0.0785260	+	0.996912i	$0.525021\pi$
$194$	125.960	−	57.5240i	0.649278	−	0.296515i
$195$	56.2792	−	1.87628i	0.288612	−	0.00962193i
$196$	22.6293	+	157.390i	0.115455	+	0.803010i
$197$	107.327	+	92.9997i	0.544809	+	0.472080i	0.883246	−	0.468909i	$-0.155353\pi$
$197$	107.327	+	92.9997i	0.544809	+	0.472080i	−0.338437	+	0.940989i	$0.609898\pi$
$198$	−493.841	−	109.886i	−2.49414	−	0.554981i
$199$	−69.3329	−	151.818i	−0.348407	−	0.762904i	−0.999991	−	0.00432782i	$-0.998622\pi$
$199$	−69.3329	−	151.818i	−0.348407	−	0.762904i	0.651584	−	0.758577i	$-0.274105\pi$
$200$		−	18.2378i		−	0.0911891i
$201$	124.813	+	157.552i	0.620961	+	0.783842i
$202$	−223.469			−1.10628
$203$	−164.044	+	74.9163i	−0.808097	+	0.369046i
$204$	54.0788	−	129.686i	0.265092	−	0.635717i
$205$	−321.629	+	371.180i	−1.56892	+	1.81063i
$206$	54.5446	−	7.84233i	0.264780	−	0.0380696i
$207$	−213.410	+	45.3645i	−1.03096	+	0.219152i
$208$	−16.8423	−	36.8796i	−0.0809728	−	0.177306i
$209$	112.143	−	381.925i	0.536571	−	1.82739i
$210$	−351.223	−	508.429i	−1.67249	−	2.42109i
$211$	−282.476	+	181.536i	−1.33875	+	0.860361i	−0.996845	−	0.0793737i	$-0.974708\pi$
$211$	−282.476	+	181.536i	−1.33875	+	0.860361i	−0.341904	+	0.939735i	$0.611072\pi$
$212$	−69.2683	+	9.95928i	−0.326737	+	0.0469777i
$213$	−7.65769	−	15.3893i	−0.0359516	−	0.0722501i
$214$	338.149	−	99.2896i	1.58014	−	0.463970i
$215$	443.247	+	384.076i	2.06161	+	1.78640i
$216$	14.0502	−	1.40942i	0.0650470	−	0.00652509i
$217$	−13.1607	−	91.5349i	−0.0606485	−	0.421820i
$218$	404.163	−	350.209i	1.85396	−	1.60646i
$219$	1.71828	−	2.88041i	0.00784604	−	0.0131525i
$220$	−246.480	+	539.717i	−1.12037	+	2.45326i
$221$	−16.1100	+	25.0676i	−0.0728958	+	0.113428i
$222$	−400.607	+	13.3557i	−1.80454	+	0.0601609i
$223$	149.838	−	96.2948i	0.671917	−	0.431815i	−0.159699	−	0.987166i	$-0.551052\pi$
$223$	149.838	−	96.2948i	0.671917	−	0.431815i	0.831616	+	0.555351i	$0.187416\pi$
$224$	−229.770	+	357.530i	−1.02576	+	1.59611i
$225$	274.744	+	151.719i	1.22108	+	0.674306i
$226$	39.4201	−	11.5748i	0.174425	−	0.0512159i
$227$	295.070	−	255.680i	1.29987	−	1.12634i	0.315747	−	0.948844i	$-0.397745\pi$
$227$	295.070	−	255.680i	1.29987	−	1.12634i	0.984121	−	0.177498i	$-0.0568004\pi$
$228$	−7.54376	−	226.276i	−0.0330867	−	0.992441i
$229$	147.041	+	43.1751i	0.642099	+	0.188537i	0.586543	−	0.809918i	$-0.300489\pi$
$229$	147.041	+	43.1751i	0.642099	+	0.188537i	0.0555565	+	0.998456i	$0.482307\pi$
$230$			524.309i			2.27960i
$231$	−100.679	−	565.708i	−0.435840	−	2.44895i
$232$	−9.50204	−	2.79005i	−0.0409571	−	0.0120261i
$233$	90.6990	+	141.130i	0.389266	+	0.605710i	0.979481	−	0.201536i	$-0.0645934\pi$
$233$	90.6990	+	141.130i	0.389266	+	0.605710i	−0.590215	+	0.807246i	$0.700957\pi$
$234$	60.8476	+	4.64233i	0.260032	+	0.0198390i
$235$	−99.8632	+	218.670i	−0.424950	+	0.930511i
$236$	66.4552	+	103.406i	0.281590	+	0.438162i
$237$	206.706	+	22.7197i	0.872178	+	0.0958635i
$238$	327.000			1.37395
$239$			51.7653i			0.216591i	0.994119	+	0.108296i	$0.0345393\pi$
$239$			51.7653i			0.216591i	−0.994119	+	0.108296i	$0.965461\pi$
$240$	42.3877	−	385.649i	0.176616	−	1.60687i
$241$	45.9685	−	319.718i	0.190741	−	1.32663i	−0.639312	−	0.768947i	$-0.720781\pi$
$241$	45.9685	−	319.718i	0.190741	−	1.32663i	0.830053	−	0.557684i	$-0.188310\pi$
$242$	−598.769	+	518.836i	−2.47425	+	2.14395i
$243$	−95.6498	+	223.383i	−0.393621	+	0.919273i
$244$	−196.606	−	226.895i	−0.805761	−	0.929897i
$245$	174.457	−	271.460i	0.712067	−	1.10800i
$246$	−390.415	+	361.763i	−1.58705	+	1.47058i
$247$	−6.83297	+	47.5244i	−0.0276639	+	0.192406i
$248$	2.74549	−	4.27207i	0.0110705	−	0.0172261i
$249$	−186.383	−	48.0430i	−0.748527	−	0.192944i
$250$	139.827	−	161.368i	0.559306	−	0.645474i
$251$	337.935	−	292.823i	1.34636	−	1.16662i	0.375537	−	0.926807i	$-0.377458\pi$
$251$	337.935	−	292.823i	1.34636	−	1.16662i	0.970818	−	0.239816i	$-0.0770873\pi$
$252$	−155.264	−	287.583i	−0.616128	−	1.14120i
$253$	−202.527	+	443.472i	−0.800501	+	1.75285i
$254$	146.285	+	126.756i	0.575923	+	0.499040i
$255$	−255.286	+	127.030i	−1.00112	+	0.498157i
$256$	−266.973	+	78.3904i	−1.04286	+	0.306213i
$257$	−103.476	+	14.8776i	−0.402631	+	0.0578896i	−0.340656	−	0.940188i	$-0.610649\pi$
$257$	−103.476	+	14.8776i	−0.402631	+	0.0578896i	−0.0619753	+	0.998078i	$0.519740\pi$
$258$	432.002	+	466.217i	1.67443	+	1.80704i
$259$	−189.115	−	414.104i	−0.730173	−	1.59886i
$260$	20.1632	−	68.6697i	0.0775509	−	0.264114i
$261$	121.077	−	119.933i	0.463898	−	0.459514i
$262$	33.5767	−	233.531i	0.128155	−	0.891339i
$263$	−197.138	+	28.3441i	−0.749573	+	0.107772i	−0.506505	−	0.862237i	$-0.669063\pi$
$263$	−197.138	+	28.3441i	−0.749573	+	0.107772i	−0.243068	+	0.970009i	$0.578154\pi$
$264$	16.1651	−	27.0980i	0.0612313	−	0.102644i
$265$	119.471	+	76.7794i	0.450834	+	0.289734i
$266$	479.277	−	218.878i	1.80179	−	0.822851i
$267$	5.29887	+	29.7739i	0.0198459	+	0.111513i
$268$	239.884	−	87.8481i	0.895091	−	0.327791i
$269$			207.131i			0.770004i	0.922916	+	0.385002i	$0.125799\pi$
$269$			207.131i			0.770004i	−0.922916	+	0.385002i	$0.874201\pi$
$270$	477.293	+	336.453i	1.76775	+	1.24612i
$271$	−248.762	−	159.869i	−0.917940	−	0.589924i	−0.00588078	−	0.999983i	$-0.501872\pi$
$271$	−248.762	−	159.869i	−0.917940	−	0.589924i	−0.912059	+	0.410058i	$0.865508\pi$
$272$	155.158	+	134.445i	0.570433	+	0.494283i
$273$	21.7314	+	65.8135i	0.0796024	+	0.241075i
$274$	−10.9794	+	76.3633i	−0.0400707	+	0.278698i
$275$	637.939	−	291.337i	2.31978	−	1.05941i
$276$	−30.2960	+	275.636i	−0.109768	+	0.998683i
$277$	135.225	+	296.101i	0.488177	+	1.06896i	0.980134	+	0.198339i	$0.0635545\pi$
$277$	135.225	+	296.101i	0.488177	+	1.06896i	−0.491957	+	0.870620i	$0.663718\pi$
$278$	−42.1029	−	65.5134i	−0.151449	−	0.235660i
$279$	41.5170	+	76.8984i	0.148806	+	0.275621i
$280$	36.9792	−	10.8581i	0.132068	−	0.0387788i
$281$	−61.8224	−	210.548i	−0.220009	−	0.749280i	−0.993334	−	0.115271i	$-0.963226\pi$
$281$	−61.8224	−	210.548i	−0.220009	−	0.749280i	0.773326	−	0.634009i	$-0.218592\pi$
$282$	−133.466	+	223.733i	−0.473283	+	0.793379i
$283$	−117.615	+	257.542i	−0.415602	+	0.910042i	0.579845	+	0.814727i	$0.303113\pi$
$283$	−117.615	+	257.542i	−0.415602	+	0.910042i	−0.995447	+	0.0953152i	$0.969614\pi$
$284$	−21.6245	+	3.10914i	−0.0761428	+	0.0109477i
$285$	−289.139	+	357.062i	−1.01452	+	1.25285i
$286$	89.2981	−	103.055i	0.312231	−	0.360334i
$287$	−549.881	−	251.122i	−1.91596	−	0.874991i
$288$	87.2329	−	392.034i	0.302892	−	1.36123i
$289$	−19.6550	+	136.704i	−0.0680105	+	0.473024i
$290$	−221.417	−	344.532i	−0.763508	−	1.18804i
$291$	−137.173	−	57.2008i	−0.471385	−	0.196566i
$292$	−2.79154	−	3.22161i	−0.00956008	−	0.0110329i
$293$	35.7190	+	121.648i	0.121908	+	0.415180i	0.997721	−	0.0674698i	$-0.0214926\pi$
$293$	35.7190	+	121.648i	0.121908	+	0.415180i	−0.875813	+	0.482650i	$0.839674\pi$
$294$	220.070	−	271.767i	0.748537	−	0.924379i
$295$	35.5000	−	246.908i	0.120339	−	0.836977i
$296$	7.04306	−	23.9865i	0.0237941	−	0.0810354i
$297$	273.742	+	468.945i	0.921690	+	1.57894i
$298$	334.555			1.12267
$299$	16.5676	−	56.4241i	0.0554101	−	0.188710i
$300$	292.593	−	271.120i	0.975309	−	0.903733i
$301$	−299.880	+	656.645i	−0.996278	+	2.18155i
$302$	−691.156	−	315.640i	−2.28860	−	1.04517i
$303$	163.018	+	175.930i	0.538014	+	0.580625i
$304$	317.403	+	93.1980i	1.04409	+	0.306572i
$305$			609.264i			1.99759i
$306$	−290.041	+	106.614i	−0.947846	+	0.348412i
$307$	−330.365	−	97.0040i	−1.07611	−	0.315974i	−0.304788	−	0.952420i	$-0.598586\pi$
$307$	−330.365	−	97.0040i	−1.07611	−	0.315974i	−0.771321	+	0.636446i	$0.780404\pi$
$308$	−722.860	−	103.932i	−2.34695	−	0.337440i
$309$	−45.9637	−	37.2202i	−0.148750	−	0.120454i
$310$	201.503	−	59.1665i	0.650008	−	0.190860i
$311$	215.499	−	186.731i	0.692923	−	0.600421i	−0.235532	−	0.971867i	$-0.575683\pi$
$311$	215.499	−	186.731i	0.692923	−	0.600421i	0.928455	+	0.371445i	$0.121138\pi$
$312$	−1.46483	+	3.51281i	−0.00469497	+	0.0112590i
$313$	252.190	−	162.072i	0.805717	−	0.517803i	−0.0717596	−	0.997422i	$-0.522861\pi$
$313$	252.190	−	162.072i	0.805717	−	0.517803i	0.877477	+	0.479619i	$0.159225\pi$
$314$	−387.833	−	55.7620i	−1.23514	−	0.177586i
$315$	−144.055	+	647.399i	−0.457318	+	2.05524i
$316$	109.794	−	240.414i	0.347448	−	0.760805i
$317$	283.235	+	245.424i	0.893484	+	0.774209i	0.974940	−	0.222468i	$-0.0714114\pi$
$317$	283.235	+	245.424i	0.893484	+	0.774209i	−0.0814555	+	0.996677i	$0.525957\pi$
$318$	119.607	+	96.8542i	0.376121	+	0.304573i
$319$	−54.1958	−	376.940i	−0.169893	−	1.18163i
$320$	−407.381	−	186.045i	−1.27307	−	0.581390i
$321$	−324.844	−	193.783i	−1.01197	−	0.603684i
$322$	−619.193	+	181.812i	−1.92296	+	0.564632i
$323$	−68.4971	−	233.280i	−0.212065	−	0.722229i
$324$	231.478	+	204.457i	0.714439	+	0.631040i
$325$	−71.1645	+	45.7346i	−0.218968	+	0.140722i
$326$	−21.9874	+	10.0413i	−0.0674459	+	0.0308015i
$327$	−570.540	−	62.7096i	−1.74477	−	0.191772i
$328$	−13.7901	−	30.1961i	−0.0420429	−	0.0920612i
$329$	−292.872	−	42.1086i	−0.890188	−	0.127990i
$330$	1239.08	−	409.143i	3.75480	−	1.23983i
$331$	0.156112	−	0.180163i	0.000471638	−	0.000544299i	−0.755514	−	0.655133i	$-0.772613\pi$
$331$	0.156112	−	0.180163i	0.000471638	−	0.000544299i	0.755985	+	0.654589i	$0.227158\pi$
$332$	−132.257	+	205.795i	−0.398364	+	0.619866i
$333$	302.753	+	305.641i	0.909169	+	0.917842i
$334$	637.989			1.91015
$335$	−484.653	−	184.062i	−1.44672	−	0.549439i
$336$	470.138	−	83.6705i	1.39922	−	0.249019i
$337$	−123.770	−	271.018i	−0.367270	−	0.804208i	−0.999565	−	0.0294812i	$-0.990614\pi$
$337$	−123.770	−	271.018i	−0.367270	−	0.804208i	0.632296	−	0.774727i	$-0.282113\pi$
$338$	246.496	−	383.555i	0.729278	−	1.13478i
$339$	−37.8690	−	22.5904i	−0.111708	−	0.0666383i
$340$	51.5762	+	358.720i	0.151695	+	1.05506i
$341$	193.290	+	27.7908i	0.566832	+	0.0814981i
$342$	−353.745	+	350.402i	−1.03434	+	1.02457i
$343$	−66.6820	−	19.5796i	−0.194408	−	0.0570834i
$344$	−36.0589	+	16.4675i	−0.104822	+	0.0478707i
$345$	412.770	−	382.478i	1.19644	−	1.10863i
$346$	−59.5429	−	414.130i	−0.172089	−	1.19691i
$347$	−13.5657	−	46.2007i	−0.0390944	−	0.133143i	0.937634	−	0.347625i	$-0.113012\pi$
$347$	−13.5657	−	46.2007i	−0.0390944	−	0.133143i	−0.976728	+	0.214482i	$0.931194\pi$
$348$	−96.4941	−	193.919i	−0.277282	−	0.557239i
$349$	133.442	−	154.000i	0.382356	−	0.441262i	−0.531650	−	0.846964i	$-0.678428\pi$
$349$	133.442	−	154.000i	0.382356	−	0.441262i	0.914005	+	0.405703i	$0.132973\pi$
$350$	844.430	+	385.638i	2.41266	+	1.10182i
$351$	−40.7329	−	51.2897i	−0.116048	−	0.146125i
$352$	−587.700	−	678.242i	−1.66960	−	1.92682i
$353$	−236.857	−	205.238i	−0.670984	−	0.581411i	0.251307	−	0.967907i	$-0.419140\pi$
$353$	−236.857	−	205.238i	−0.670984	−	0.581411i	−0.922291	+	0.386497i	$0.873685\pi$
$354$	67.4756	−	261.772i	0.190609	−	0.739470i
$355$	37.2971	+	23.9694i	0.105062	+	0.0675195i
$356$	38.0450	+	5.47004i	0.106868	+	0.0153653i
$357$	−238.543	−	257.435i	−0.668187	−	0.721108i
$358$	−550.718	−	353.925i	−1.53832	−	0.988616i
$359$	317.501	−	275.116i	0.884404	−	0.766340i	−0.0888567	−	0.996044i	$-0.528321\pi$
$359$	317.501	−	275.116i	0.884404	−	0.766340i	0.973260	+	0.229704i	$0.0737759\pi$
$360$	−29.2595	+	21.6874i	−0.0812764	+	0.0602428i
$361$	−20.1370	−	23.2394i	−0.0557812	−	0.0643750i
$362$	−521.123	−	74.9262i	−1.43957	−	0.206979i
$363$	845.257	+	92.9046i	2.32853	+	0.255935i
$364$	88.0887			0.242002
$365$			8.65075i			0.0237007i
$366$	−72.1373	+	656.314i	−0.197096	+	1.79321i
$367$	−212.667	+	136.673i	−0.579475	+	0.372406i	−0.797301	−	0.603581i	$-0.793740\pi$
$367$	−212.667	+	136.673i	−0.579475	+	0.372406i	0.217826	+	0.975988i	$0.430103\pi$
$368$	−368.552	−	168.312i	−1.00150	−	0.457370i
$369$	569.607	+	43.4579i	1.54365	+	0.117772i
$370$	869.719	−	558.935i	2.35059	−	1.51063i
$371$	−49.2459	+	167.716i	−0.132738	+	0.452065i
$372$	109.351	−	19.4613i	0.293955	−	0.0523153i
$373$	−86.8944			−0.232961			−0.116480	−	0.993193i	$-0.537161\pi$
$373$	−86.8944			−0.232961			−0.116480	+	0.993193i	$0.537161\pi$
$374$	−194.539	+	662.538i	−0.520157	+	1.77149i
$375$	−229.042	+	7.63595i	−0.610778	+	0.0203625i
$376$	−10.6402	−	12.2795i	−0.0282985	−	0.0326582i
$377$	12.9412	+	44.0738i	0.0343269	+	0.116907i
$378$	−231.832	+	680.339i	−0.613313	+	1.79984i
$379$	167.694	+	107.770i	0.442464	+	0.284354i	0.742843	−	0.669466i	$-0.233477\pi$
$379$	167.694	+	107.770i	0.442464	+	0.284354i	−0.300379	+	0.953820i	$0.597113\pi$
$380$	315.705	+	491.247i	0.830803	+	1.29275i
$381$	−6.92218	−	207.632i	−0.0181685	−	0.544966i
$382$	67.2288	+	43.2054i	0.175992	+	0.113103i
$383$	97.6545	+	44.5973i	0.254973	+	0.116442i	0.538801	−	0.842433i	$-0.318877\pi$
$383$	97.6545	+	44.5973i	0.254973	+	0.116442i	−0.283829	+	0.958875i	$0.591605\pi$
$384$	43.0705	+	25.6933i	0.112163	+	0.0669097i
$385$	970.520	+	1120.04i	2.52083	+	2.90919i
$386$	−219.482	+	31.5567i	−0.568606	+	0.0817532i
$387$	51.8956	−	680.200i	0.134097	−	1.75762i
$388$	−123.699	+	142.756i	−0.318811	+	0.367927i
$389$	−84.3214	−	287.172i	−0.216764	−	0.738232i	−0.994035	−	0.109065i	$-0.965214\pi$
$389$	−84.3214	−	287.172i	−0.216764	−	0.738232i	0.777270	−	0.629167i	$-0.216604\pi$
$390$	−140.915	+	70.1192i	−0.361320	+	0.179793i
$391$	42.3789	+	294.751i	0.108386	+	0.753840i
$392$	11.7914	+	18.3478i	0.0300801	+	0.0468056i
$393$	−208.345	+	143.925i	−0.530139	+	0.366220i
$394$	−380.873	−	111.835i	−0.966684	−	0.283844i
$395$	−487.887	+	222.810i	−1.23516	+	0.564077i
$396$	675.045	−	143.494i	1.70466	−	0.362359i
$397$	−17.4643	−	121.467i	−0.0439907	−	0.305962i	−0.999923	−	0.0123761i	$-0.996060\pi$
$397$	−17.4643	−	121.467i	−0.0439907	−	0.305962i	0.955933	−	0.293586i	$-0.0948486\pi$
$398$	352.567	+	305.501i	0.885846	+	0.767590i
$399$	−521.943	−	217.649i	−1.30813	−	0.545486i
$400$	242.119	+	530.167i	0.605297	+	1.32542i
$401$			236.333i			0.589358i	0.955596	+	0.294679i	$0.0952128\pi$
$401$			236.333i			0.589358i	−0.955596	+	0.294679i	$0.904787\pi$
$402$	−500.287	−	255.660i	−1.24449	−	0.635969i
$403$	−23.5545			−0.0584480
$404$	277.289	−	126.633i	0.686358	−	0.313449i
$405$	−83.3027	−	621.195i	−0.205686	−	1.53381i
$406$	330.102	−	380.959i	0.813060	−	0.938322i
$407$	951.528	−	136.809i	2.33791	−	0.336140i
$408$	−0.642171	−	19.2620i	−0.00157395	−	0.0472109i
$409$	271.175	+	593.789i	0.663018	+	1.45181i	0.879682	+	0.475562i	$0.157755\pi$
$409$	271.175	+	593.789i	0.663018	+	1.45181i	−0.216664	+	0.976246i	$0.569518\pi$
$410$	386.767	−	1317.21i	0.943334	−	3.21270i
$411$	68.1275	−	47.0625i	0.165760	−	0.114507i
$412$	−63.2369	+	40.6399i	−0.153488	+	0.0986405i
$413$	303.901	−	43.6944i	0.735839	−	0.105798i
$414$	489.932	−	363.142i	1.18341	−	0.877156i
$415$	476.331	−	139.863i	1.14779	−	0.337020i
$416$	81.8102	+	70.8890i	0.196659	+	0.170406i
$417$	−20.8628	+	80.9375i	−0.0500308	+	0.194095i
$418$	158.341	+	1101.28i	0.378806	+	2.63465i
$419$	69.1664	−	59.9330i	0.165075	−	0.143038i	−0.568406	−	0.822748i	$-0.692440\pi$
$419$	69.1664	−	59.9330i	0.165075	−	0.143038i	0.733481	+	0.679710i	$0.237894\pi$
$420$	723.922	+	431.849i	1.72362	+	1.02821i
$421$	27.3096	−	59.7996i	0.0648683	−	0.142042i	−0.874421	−	0.485168i	$-0.838759\pi$
$421$	27.3096	−	59.7996i	0.0648683	−	0.142042i	0.939289	+	0.343126i	$0.111486\pi$
$422$	507.422	−	789.564i	1.20242	−	1.87101i
$423$	273.499	−	58.1377i	0.646570	−	0.137441i
$424$	−8.07498	+	5.18947i	−0.0190448	+	0.0122393i
$425$	231.591	−	360.362i	0.544919	−	0.847911i
$426$	37.3394	+	30.2365i	0.0876512	+	0.0709776i
$427$	−719.522	+	211.271i	−1.68506	+	0.494779i
$428$	−363.324	+	314.822i	−0.848887	+	0.735565i
$429$	−146.274	+	4.87658i	−0.340965	+	0.0113673i
$430$	−1572.95	−	461.861i	−3.65803	−	1.07409i
$431$			716.157i			1.66162i	0.556559	+	0.830808i	$0.312121\pi$
$431$			716.157i			1.66162i	−0.556559	+	0.830808i	$0.687879\pi$
$432$	−389.722	+	227.496i	−0.902133	+	0.526612i
$433$	−162.859	−	47.8198i	−0.376118	−	0.110438i	0.0882089	−	0.996102i	$-0.471886\pi$
$433$	−162.859	−	47.8198i	−0.376118	−	0.110438i	−0.464327	+	0.885664i	$0.653704\pi$
$434$	139.748	+	217.452i	0.321999	+	0.501041i
$435$	−109.717	+	425.647i	−0.252222	+	0.978498i
$436$	−303.046	+	663.579i	−0.695061	+	1.52197i
$437$	259.407	+	403.645i	0.593608	+	0.923673i
$438$	−1.02426	+	9.31880i	−0.00233848	+	0.0212758i
$439$	−381.341			−0.868659			−0.434330	−	0.900754i	$-0.643015\pi$
$439$	−381.341			−0.868659			−0.434330	+	0.900754i	$0.643015\pi$
$440$			81.3836i			0.184963i
$441$	−374.492	+	24.9979i	−0.849188	+	0.0566846i
$442$	11.8534	−	82.4420i	0.0268176	−	0.186520i
$443$	234.303	−	203.025i	0.528902	−	0.458296i	−0.349010	−	0.937119i	$-0.613482\pi$
$443$	234.303	−	203.025i	0.528902	−	0.458296i	0.877911	+	0.478823i	$0.158936\pi$
$444$	489.520	−	243.585i	1.10252	−	0.548615i
$445$	−51.0797	−	58.9491i	−0.114786	−	0.132470i
$446$	−269.159	+	418.819i	−0.603495	+	0.939057i
$447$	−244.054	−	263.383i	−0.545982	−	0.589224i
$448$	78.4481	−	545.619i	0.175107	−	1.21790i
$449$	−240.332	+	373.964i	−0.535261	+	0.832883i	−0.998578	−	0.0533099i	$-0.983023\pi$
$449$	−240.332	+	373.964i	−0.535261	+	0.832883i	0.463317	+	0.886193i	$0.346659\pi$
$450$	−874.721	−	66.7364i	−1.94383	−	0.148303i
$451$	835.938	−	964.724i	1.85352	−	2.13908i
$452$	−42.3548	+	36.7006i	−0.0937053	+	0.0811961i
$453$	255.698	+	774.380i	0.564455	+	1.70945i
$454$	−453.352	+	992.702i	−0.998572	+	2.18657i
$455$	−135.100	−	117.065i	−0.296924	−	0.257286i
$456$	−13.8343	−	27.8022i	−0.0303385	−	0.0609697i
$457$	−734.831	+	215.766i	−1.60795	+	0.472135i	−0.957743	−	0.287625i	$-0.907134\pi$
$457$	−734.831	+	215.766i	−1.60795	+	0.472135i	−0.650203	+	0.759761i	$0.725316\pi$
$458$	−423.993	+	60.9610i	−0.925749	+	0.133103i
$459$	295.515	+	150.565i	0.643824	+	0.328029i
$460$	−297.111	−	650.582i	−0.645893	−	1.41431i
$461$	28.6984	−	97.7377i	0.0622524	−	0.212012i	−0.922493	−	0.386014i	$-0.873852\pi$
$461$	28.6984	−	97.7377i	0.0622524	−	0.212012i	0.984745	+	0.174002i	$0.0556698\pi$
$462$	912.855	+	1321.45i	1.97588	+	2.86027i
$463$	89.7784	−	624.423i	0.193906	−	1.34864i	−0.627641	−	0.778503i	$-0.715979\pi$
$463$	89.7784	−	624.423i	0.193906	−	1.34864i	0.821546	−	0.570142i	$-0.193112\pi$
$464$	313.260	−	45.0400i	0.675130	−	0.0970691i
$465$	−193.574	−	115.475i	−0.416288	−	0.248333i
$466$	−394.481	−	253.518i	−0.846527	−	0.544030i
$467$	−528.682	+	241.441i	−1.13208	+	0.517004i	−0.891227	−	0.453557i	$-0.850155\pi$
$467$	−528.682	+	241.441i	−1.13208	+	0.517004i	−0.240854	+	0.970561i	$0.577428\pi$
$468$	−78.1326	+	28.7202i	−0.166950	+	0.0613679i
$469$	49.3117	−	636.186i	0.105142	−	1.35647i
$470$		−	671.938i		−	1.42966i
$471$	239.021	+	346.005i	0.507475	+	0.734618i
$472$	14.1835	+	9.11519i	0.0300498	+	0.0193118i
$473$	−1152.03	−	998.242i	−2.43559	−	2.11045i
$474$	−551.944	+	182.251i	−1.16444	+	0.384495i
$475$	98.2282	−	683.192i	0.206796	−	1.43830i
$476$	−405.753	+	185.301i	−0.852422	+	0.389288i
$477$	−11.0017	−	164.816i	−0.0230644	−	0.345527i
$478$	−60.1072	−	131.617i	−0.125747	−	0.275348i
$479$	332.633	+	517.587i	0.694432	+	1.08056i	0.992047	+	0.125871i	$0.0401726\pi$
$479$	332.633	+	517.587i	0.694432	+	1.08056i	−0.297614	+	0.954686i	$0.596191\pi$
$480$	324.796	+	983.643i	0.676659	+	2.04926i
$481$	−111.258	+	32.6682i	−0.231305	+	0.0679172i
$482$	254.363	+	866.280i	0.527724	+	1.79726i
$483$	594.829	+	354.840i	1.23153	+	0.734658i
$484$	448.965	−	983.096i	0.927613	−	2.03119i
$485$	379.429	−	54.5537i	0.782329	−	0.112482i
$486$	−16.1857	−	679.030i	−0.0333040	−	1.39718i
$487$	104.196	−	120.249i	0.213956	−	0.246918i	−0.638619	−	0.769523i	$-0.720494\pi$
$487$	104.196	−	120.249i	0.213956	−	0.246918i	0.852575	+	0.522605i	$0.175040\pi$
$488$	−37.4584	−	17.1067i	−0.0767591	−	0.0350547i
$489$	23.9447	+	9.98488i	0.0489667	+	0.0204190i
$490$	−128.361	+	892.773i	−0.261962	+	1.82199i
$491$	384.579	+	598.417i	0.783257	+	1.21877i	0.971591	+	0.236667i	$0.0760551\pi$
$491$	384.579	+	598.417i	0.783257	+	1.21877i	−0.188333	+	0.982105i	$0.560309\pi$
$492$	279.440	−	670.125i	0.567968	−	1.36204i
$493$	−152.322	−	175.789i	−0.308970	−	0.356570i
$494$	−37.8096	−	128.768i	−0.0765377	−	0.260664i
$495$	−1226.00	−	677.023i	−2.47677	−	1.36772i
$496$	−23.0959	+	160.635i	−0.0465643	+	0.323862i
$497$	−15.3738	+	52.3585i	−0.0309333	+	0.105349i
$498$	529.676	−	94.2664i	1.06361	−	0.189290i
$499$	−159.879			−0.320399			−0.160200	−	0.987085i	$-0.551214\pi$
$499$	−159.879			−0.320399			−0.160200	+	0.987085i	$0.551214\pi$
$500$	−82.0591	+	279.468i	−0.164118	+	0.558935i
$501$	−465.406	−	502.267i	−0.928954	−	1.00253i
$502$	−519.211	+	1136.91i	−1.03428	+	2.26477i
$503$	203.699	+	93.0264i	0.404969	+	0.184943i	0.607477	−	0.794338i	$-0.292182\pi$
$503$	203.699	+	93.0264i	0.404969	+	0.184943i	−0.202508	+	0.979281i	$0.564909\pi$
$504$	−35.7583	−	27.0342i	−0.0709491	−	0.0536392i
$505$	−593.563	−	174.286i	−1.17537	−	0.345120i
$506$		−	1362.72i		−	2.69312i
$507$	−481.776	+	85.7417i	−0.950249	+	0.169116i
$508$	−253.344	−	74.3886i	−0.498709	−	0.146434i
$509$	−608.633	−	87.5081i	−1.19574	−	0.171922i	−0.484450	−	0.874819i	$-0.660980\pi$
$509$	−608.633	−	87.5081i	−1.19574	−	0.171922i	−0.711292	+	0.702897i	$0.751889\pi$
$510$	501.579	−	619.407i	0.983489	−	1.21452i
$511$	−10.2163	+	2.99977i	−0.0199927	+	0.00587039i
$512$	537.237	−	465.518i	1.04929	−	0.909216i
$513$	533.912	+	22.8765i	1.04076	+	0.0445935i
$514$	245.820	−	157.979i	0.478248	−	0.307351i
$515$	150.994	+	21.7096i	0.293192	+	0.0421546i
$516$	−800.235	−	333.696i	−1.55084	−	0.646697i
$517$	259.552	−	568.340i	0.502035	−	1.09930i
$518$	961.672	+	833.294i	1.85651	+	1.60868i
$519$	−282.595	+	348.980i	−0.544498	+	0.672408i
$520$	−1.39704	−	9.71665i	−0.00268662	−	0.0186859i
$521$	−668.058	−	305.092i	−1.28226	−	0.585589i	−0.346443	−	0.938071i	$-0.612610\pi$
$521$	−668.058	−	305.092i	−1.28226	−	0.585589i	−0.935819	+	0.352482i	$0.885338\pi$
$522$	−168.586	+	445.527i	−0.322962	+	0.853500i
$523$	147.782	−	43.3928i	0.282566	−	0.0829690i	−0.137378	−	0.990519i	$-0.543868\pi$
$523$	147.782	−	43.3928i	0.282566	−	0.0829690i	0.419945	+	0.907550i	$0.362049\pi$
$524$	90.6720	+	308.800i	0.173038	+	0.589314i
$525$	−312.403	−	946.109i	−0.595053	−	1.80211i
$526$	468.323	−	300.973i	0.890348	−	0.572192i
$527$	108.497	−	49.5487i	0.205876	−	0.0940204i
$528$	−110.169	+	1002.33i	−0.208653	+	1.89835i
$529$	−24.3740	−	53.3715i	−0.0460755	−	0.100891i
$530$	−392.915	−	56.4927i	−0.741349	−	0.106590i
$531$	−255.307	+	137.839i	−0.480804	+	0.259584i
$532$	−470.672	+	543.185i	−0.884722	+	1.02102i
$533$	−83.2448	+	129.531i	−0.156182	+	0.243023i
$534$	−48.0447	−	69.5493i	−0.0899713	−	0.130242i
$535$	975.605			1.82356
$536$	24.9243	−	24.6291i	0.0465006	−	0.0459498i
$537$	123.110	+	691.745i	0.229255	+	1.28817i
$538$	−240.510	−	526.644i	−0.447045	−	0.978892i
$539$	−453.426	+	705.544i	−0.841235	+	1.30899i
$540$	−782.901	−	147.015i	−1.44982	−	0.272249i
$541$	−68.4121	−	475.817i	−0.126455	−	0.879513i	−0.949997	−	0.312259i	$-0.898914\pi$
$541$	−68.4121	−	475.817i	−0.126455	−	0.879513i	0.823542	−	0.567255i	$-0.191995\pi$
$542$	818.125	+	117.629i	1.50946	+	0.217027i
$543$	321.167	+	464.920i	0.591468	+	0.856207i
$544$	−525.954	−	154.434i	−0.966826	−	0.283886i
$545$	1346.64	−	614.989i	2.47090	−	1.12842i
$546$	−131.673	−	142.101i	−0.241159	−	0.260259i
$547$	141.365	+	983.216i	0.258437	+	1.79747i	0.543974	+	0.839102i	$0.316919\pi$
$547$	141.365	+	983.216i	0.258437	+	1.79747i	−0.285537	+	0.958368i	$0.592172\pi$
$548$	−29.6492	−	100.976i	−0.0541045	−	0.184263i
$549$	569.317	−	421.983i	1.03701	−	0.768639i
$550$	−1283.71	+	1481.49i	−2.33403	+	2.69361i
$551$	−340.921	−	155.693i	−0.618731	−	0.282565i
$552$	11.9257	+	36.1168i	0.0216045	+	0.0654290i
$553$	−432.314	−	498.917i	−0.781761	−	0.902200i
$554$	−687.636	−	595.840i	−1.24122	−	1.07552i
$555$	−1074.48	−	276.963i	−1.93600	−	0.499032i
$556$	89.3674	+	57.4330i	0.160733	+	0.103297i
$557$	371.855	+	53.4647i	0.667604	+	0.0959870i	0.467780	−	0.883845i	$-0.345054\pi$
$557$	371.855	+	53.4647i	0.667604	+	0.0959870i	0.199824	+	0.979832i	$0.435963\pi$
$558$	−194.850	−	147.311i	−0.349194	−	0.263999i
$559$	154.681	+	99.4074i	0.276710	+	0.177831i
$560$	−930.822	+	806.562i	−1.66218	+	1.44029i
$561$	663.507	−	330.161i	1.18272	−	0.588522i
$562$	401.665	+	463.546i	0.714706	+	0.824815i
$563$	−416.710	−	59.9139i	−0.740161	−	0.106419i	−0.238087	−	0.971244i	$-0.576520\pi$
$563$	−416.710	−	59.9139i	−0.740161	−	0.106419i	−0.502074	+	0.864825i	$0.667429\pi$
$564$	38.8264	−	353.247i	0.0688411	−	0.626325i
$565$	113.732			0.201296
$566$		−	791.386i		−	1.39821i
$567$	704.726	−	313.786i	1.24290	−	0.553415i
$568$	−2.52089	+	1.62008i	−0.00443818	+	0.00285225i
$569$	352.647	+	161.048i	0.619766	+	0.283038i	0.700449	−	0.713702i	$-0.252983\pi$
$569$	352.647	+	161.048i	0.619766	+	0.283038i	−0.0806832	+	0.996740i	$0.525710\pi$
$570$	320.553	−	1243.59i	0.562373	−	2.18173i
$571$	−263.877	+	169.584i	−0.462132	+	0.296994i	−0.750913	−	0.660401i	$-0.770386\pi$
$571$	−263.877	+	169.584i	−0.462132	+	0.296994i	0.288781	+	0.957395i	$0.406750\pi$
$572$	−52.4057	+	178.478i	−0.0916184	+	0.312024i
$573$	−15.0286	−	84.4448i	−0.0262280	−	0.147373i
$574$	1689.70			2.94373
$575$	−238.170	+	811.132i	−0.414208	+	1.41066i
$576$	108.310	+	509.528i	0.188039	+	0.884597i
$577$	−12.8705	−	14.8533i	−0.0223058	−	0.0257423i	0.744487	−	0.667637i	$-0.232694\pi$
$577$	−12.8705	−	14.8533i	−0.0223058	−	0.0257423i	−0.766793	+	0.641895i	$0.778149\pi$
$578$	−108.759	−	370.400i	−0.188165	−	0.640831i
$579$	184.953	+	149.770i	0.319436	+	0.258671i
$580$	469.979	+	302.037i	0.810309	+	0.520754i
$581$	330.349	+	514.033i	0.568587	+	0.884739i
$582$	415.190	−	13.8419i	0.713385	−	0.0237833i
$583$	−310.514	−	199.555i	−0.532615	−	0.342291i
$584$	−0.531861	−	0.242893i	−0.000910720	−	0.000415912i
$585$	157.998	+	59.7862i	0.270083	+	0.102199i
$586$	−232.069	−	267.822i	−0.396022	−	0.457034i
$587$	569.500	−	81.8818i	0.970188	−	0.139492i	0.361042	−	0.932550i	$-0.382421\pi$
$587$	569.500	−	81.8818i	0.970188	−	0.139492i	0.609146	+	0.793058i	$0.291512\pi$
$588$	−119.068	+	461.926i	−0.202497	+	0.785589i
$589$	125.856	−	145.245i	0.213677	−	0.246596i
$590$	196.436	+	669.000i	0.332943	+	1.13390i
$591$	189.800	+	381.431i	0.321150	+	0.645399i
$592$	113.697	+	790.778i	0.192055	+	1.33577i
$593$	−199.959	−	311.142i	−0.337198	−	0.524691i	0.630702	−	0.776025i	$-0.282767\pi$
$593$	−199.959	−	311.142i	−0.337198	−	0.524691i	−0.967900	+	0.251334i	$0.919131\pi$
$594$	−1240.52	−	874.466i	−2.08842	−	1.47216i
$595$	868.553	+	255.030i	1.45975	+	0.428622i
$596$	−415.127	+	189.582i	−0.696523	+	0.318091i
$597$	−16.6835	−	500.423i	−0.0279455	−	0.838230i
$598$	23.3926	+	162.699i	0.0391181	+	0.272073i
$599$	−231.355	−	200.470i	−0.386236	−	0.334675i	0.440002	−	0.897997i	$-0.354978\pi$
$599$	−231.355	−	200.470i	−0.386236	−	0.334675i	−0.826238	+	0.563322i	$0.809523\pi$
$600$	21.0579	−	50.4988i	0.0350964	−	0.0841647i
$601$	150.642	+	329.859i	0.250652	+	0.548851i	0.992575	−	0.121634i	$-0.0388134\pi$
$601$	150.642	+	329.859i	0.250652	+	0.548851i	−0.741923	+	0.670485i	$0.766086\pi$
$602$		−	2017.77i		−	3.35177i
$603$	163.682	+	580.360i	0.271446	+	0.962454i
$604$	1036.48			1.71602
$605$	−1995.05	+	911.110i	−3.29761	+	1.50597i
$606$	−618.765	−	258.023i	−1.02106	−	0.425781i
$607$	282.592	−	326.129i	0.465555	−	0.537279i	−0.473615	−	0.880732i	$-0.657051\pi$
$607$	282.592	−	326.129i	0.465555	−	0.537279i	0.939170	+	0.343453i	$0.111597\pi$
$608$	−874.251	+	125.698i	−1.43791	+	0.206741i
$609$	−540.722	+	18.0270i	−0.887885	+	0.0296009i
$610$	−707.446	−	1549.09i	−1.15975	−	2.53949i
$611$	−21.2326	+	72.3114i	−0.0347505	+	0.118349i
$612$	299.478	−	296.648i	0.489343	−	0.484719i
$613$	−479.332	+	308.048i	−0.781944	+	0.502525i	−0.869678	−	0.493619i	$-0.835674\pi$
$613$	−479.332	+	308.048i	−0.781944	+	0.502525i	0.0877340	+	0.996144i	$0.472037\pi$
$614$	952.611	−	136.965i	1.55148	−	0.223070i
$615$	−1319.13	+	656.400i	−2.14493	+	1.06732i
$616$	−96.1116	+	28.2209i	−0.156025	+	0.0458132i
$617$	297.729	+	257.984i	0.482544	+	0.418127i	0.861864	−	0.507139i	$-0.169297\pi$
$617$	297.729	+	257.984i	0.482544	+	0.418127i	−0.379321	+	0.925265i	$0.623842\pi$
$618$	160.084	+	41.2639i	0.259035	+	0.0667701i
$619$	−145.231	−	1010.10i	−0.234622	−	1.63183i	−0.677692	−	0.735346i	$-0.737020\pi$
$619$	−145.231	−	1010.10i	−0.234622	−	1.63183i	0.443070	−	0.896487i	$-0.353889\pi$
$620$	−216.504	+	187.602i	−0.349200	+	0.302583i
$621$	−643.290	−	120.798i	−1.03589	−	0.194522i
$622$	−331.097	+	725.002i	−0.532311	+	1.16560i
$623$	51.9045	−	80.7650i	0.0833138	−	0.129639i
$624$	−4.05274	−	121.563i	−0.00649477	−	0.194812i
$625$	−236.163	+	151.772i	−0.377860	+	0.242836i
$626$	−453.017	+	704.909i	−0.723670	+	1.12605i
$627$	751.495	−	928.031i	1.19856	−	1.48011i
$628$	512.836	−	150.582i	0.816618	−	0.239781i
$629$	443.753	−	384.514i	0.705490	−	0.611311i
$630$	−385.458	−	1813.32i	−0.611838	−	2.87829i
$631$	−225.813	−	66.3047i	−0.357866	−	0.105079i	0.0978574	−	0.995200i	$-0.468801\pi$
$631$	−225.813	−	66.3047i	−0.357866	−	0.105079i	−0.455723	+	0.890122i	$0.650619\pi$
$632$		−	36.2520i		−	0.0573607i
$633$	−991.756	+	176.503i	−1.56675	+	0.278835i
$634$	−1005.12	−	295.129i	−1.58536	−	0.465503i
$635$	289.692	+	450.770i	0.456208	+	0.709873i
$636$	−203.297	−	52.4026i	−0.319649	−	0.0823941i
$637$	42.0245	−	92.0208i	0.0659725	−	0.144460i
$638$	575.480	+	895.465i	0.902007	+	1.40355i
$639$	−3.43458	−	51.4532i	−0.00537493	−	0.0805214i
$640$	−129.354			−0.202115
$641$			303.938i			0.474162i	0.971490	+	0.237081i	$0.0761907\pi$
$641$			303.938i			0.474162i	−0.971490	+	0.237081i	$0.923809\pi$
$642$	1050.95	+	115.512i	1.63699	+	0.179926i
$643$	−66.2555	+	460.817i	−0.103041	+	0.716667i	0.871162	+	0.490995i	$0.163367\pi$
$643$	−66.2555	+	460.817i	−0.103041	+	0.716667i	−0.974203	+	0.225672i	$0.927542\pi$
$644$	665.290	−	576.477i	1.03306	−	0.895151i
$645$	783.846	+	1575.25i	1.21526	+	2.44225i
$646$	445.031	+	513.593i	0.688903	+	0.795036i
$647$	385.531	−	599.898i	0.595875	−	0.927200i	−0.404047	−	0.914738i	$-0.632397\pi$
$647$	385.531	−	599.898i	0.595875	−	0.927200i	0.999922	−	0.0124619i	$-0.00396684\pi$
$648$	40.5309	+	12.3201i	0.0625477	+	0.0190125i
$649$	−92.2673	+	641.733i	−0.142168	+	0.988803i
$650$	127.835	−	198.916i	0.196670	−	0.306024i
$651$	69.2477	−	268.647i	0.106371	−	0.412669i
$652$	21.5926	−	24.9192i	0.0331175	−	0.0382196i
$653$	160.023	−	138.661i	0.245058	−	0.212344i	−0.523668	−	0.851923i	$-0.675437\pi$
$653$	160.023	−	138.661i	0.245058	−	0.212344i	0.768726	+	0.639579i	$0.220891\pi$
$654$	1523.45	−	503.039i	2.32943	−	0.769172i
$655$	271.317	−	594.101i	0.414224	−	0.907024i
$656$	801.745	+	694.716i	1.22217	+	1.05902i
$657$	8.08355	−	5.99161i	0.0123037	−	0.00911965i
$658$	793.539	−	233.004i	1.20599	−	0.354110i
$659$	−474.201	+	68.1798i	−0.719577	+	0.103460i	−0.492369	−	0.870387i	$-0.663869\pi$
$659$	−474.201	+	68.1798i	−0.719577	+	0.103460i	−0.227208	+	0.973846i	$0.572960\pi$
$660$	−1305.65	+	1209.83i	−1.97826	+	1.83308i
$661$	380.451	+	833.071i	0.575568	+	1.26032i	0.943779	+	0.330576i	$0.107243\pi$
$661$	380.451	+	833.071i	0.575568	+	1.26032i	−0.368211	+	0.929742i	$0.620030\pi$
$662$	−0.187729	+	0.639345i	−0.000283578	+	0.000965779i
$663$	−73.5507	+	50.8088i	−0.110936	+	0.0766348i
$664$	−4.77525	+	33.2126i	−0.00719164	+	0.0500189i
$665$	1443.73	−	207.577i	2.17102	−	0.312145i
$666$	−1124.66	−	425.571i	−1.68869	−	0.638995i
$667$	386.170	+	248.176i	0.578966	+	0.372079i
$668$	−791.640	+	361.530i	−1.18509	+	0.541212i
$669$	526.071	−	93.6248i	0.786354	−	0.139947i
$670$	1445.98	−	94.7647i	2.15818	−	0.141440i
$671$		−	1583.52i		−	2.35994i
$672$	−1049.03	+	724.667i	−1.56105	+	1.07837i
$673$	498.705	+	320.498i	0.741018	+	0.476223i	0.855891	−	0.517157i	$-0.173010\pi$
$673$	498.705	+	320.498i	0.741018	+	0.476223i	−0.114873	+	0.993380i	$0.536646\pi$
$674$	629.385	+	545.366i	0.933806	+	0.809148i
$675$	585.561	+	737.321i	0.867497	+	1.09233i
$676$	−88.5116	+	615.612i	−0.130934	+	0.910668i
$677$	−164.749	+	75.2382i	−0.243351	+	0.111135i	−0.533357	−	0.845890i	$-0.679070\pi$
$677$	−164.749	+	75.2382i	−0.243351	+	0.111135i	0.290006	+	0.957025i	$0.406343\pi$
$678$	122.515	+	13.4660i	0.180701	+	0.0198613i
$679$	195.999	+	429.177i	0.288658	+	0.632073i
$680$	26.8748	+	41.8179i	0.0395217	+	0.0614970i
$681$	1112.24	−	367.257i	1.63324	−	0.539291i
$682$	−523.720	+	153.778i	−0.767918	+	0.225481i
$683$	−247.959	−	844.470i	−0.363044	−	1.23641i	−0.915312	−	0.402746i	$-0.868056\pi$
$683$	−247.959	−	844.470i	−0.363044	−	1.23641i	0.552268	−	0.833667i	$-0.313763\pi$
$684$	240.377	−	635.248i	0.351428	−	0.928726i
$685$	−88.7191	+	194.268i	−0.129517	+	0.283603i
$686$	192.278	−	27.6454i	0.280289	−	0.0402994i
$687$	357.291	+	289.325i	0.520074	+	0.421142i
$688$	829.600	−	957.410i	1.20581	−	1.39158i
$689$	40.4989	+	18.4952i	0.0587793	+	0.0268436i
$690$	−605.381	+	1451.76i	−0.877363	+	2.10400i
$691$	−10.0348	+	69.7937i	−0.0145222	+	0.101004i	−0.995793	−	0.0916275i	$-0.970793\pi$
$691$	−10.0348	+	69.7937i	−0.0145222	+	0.101004i	0.981271	+	0.192631i	$0.0617022\pi$
$692$	308.559	+	480.127i	0.445894	+	0.693825i
$693$	374.410	−	1682.64i	0.540275	−	2.42805i
$694$	88.1376	+	101.716i	0.126999	+	0.146565i
$695$	−60.7362	−	206.849i	−0.0873902	−	0.297624i
$696$	−23.0888	−	18.6967i	−0.0331736	−	0.0268631i
$697$	110.962	−	771.757i	0.159199	−	1.10726i
$698$	−160.467	+	546.502i	−0.229896	+	0.782954i
$699$	88.1842	+	495.500i	0.126158	+	0.708870i
$700$	−1266.33			−1.80904
$701$	−169.960	+	578.830i	−0.242453	+	0.825720i	0.744899	+	0.667178i	$0.232498\pi$
$701$	−169.960	+	578.830i	−0.242453	+	0.825720i	−0.987352	+	0.158543i	$0.949320\pi$
$702$	163.121	+	83.1104i	0.232366	+	0.118391i
$703$	393.024	−	860.604i	0.559068	−	1.22419i
$704$	1058.81	+	483.544i	1.50400	+	0.686853i
$705$	−528.994	+	490.172i	−0.750346	+	0.695279i
$706$	840.536	+	246.804i	1.19056	+	0.349580i
$707$		−	761.416i		−	1.07697i
$708$	64.6126	+	363.053i	0.0912608	+	0.512787i
$709$	171.803	+	50.4460i	0.242318	+	0.0711510i	0.400636	−	0.916237i	$-0.368789\pi$
$709$	171.803	+	50.4460i	0.242318	+	0.0711510i	−0.158318	+	0.987388i	$0.550607\pi$
$710$	−122.662	−	17.6362i	−0.172764	−	0.0248397i
$711$	546.117	+	301.577i	0.768098	+	0.424159i
$712$	5.05847	−	1.48530i	0.00710459	−	0.00208610i
$713$	−177.896	+	154.148i	−0.249503	+	0.216196i
$714$	905.431	+	377.562i	1.26811	+	0.528799i
$715$	317.561	−	204.084i	0.444141	−	0.285432i
$716$	883.909	+	127.087i	1.23451	+	0.177496i
$717$	−59.7695	+	143.333i	−0.0833606	+	0.199907i
$718$	−487.815	+	1068.17i	−0.679408	+	1.48770i
$719$	501.422	+	434.485i	0.697388	+	0.604290i	0.929685	−	0.368355i	$-0.120079\pi$
$719$	501.422	+	434.485i	0.697388	+	0.604290i	−0.232297	+	0.972645i	$0.574624\pi$
$720$	562.648	−	1018.88i	0.781455	−	1.41512i
$721$	26.7208	+	185.847i	0.0370607	+	0.257763i
$722$	78.1840	+	35.7055i	0.108288	+	0.0494535i
$723$	496.437	−	832.193i	0.686635	−	1.15103i
$724$	689.087	−	202.334i	0.951778	−	0.279467i
$725$	−186.038	−	633.588i	−0.256604	−	0.873914i
$726$	−2257.00	+	745.255i	−3.10881	+	1.02652i
$727$	−818.719	+	526.159i	−1.12616	+	0.723740i	−0.964755	−	0.263148i	$-0.915239\pi$
$727$	−818.719	+	526.159i	−1.12616	+	0.723740i	−0.161406	+	0.986888i	$0.551603\pi$
$728$	10.9906	−	5.01925i	0.0150970	−	0.00689458i
$729$	−522.770	+	508.088i	−0.717105	+	0.696965i
$730$	−10.0448	−	21.9951i	−0.0137600	−	0.0301302i
$731$	−921.600	−	132.506i	−1.26074	−	0.181267i
$732$	−282.404	−	855.257i	−0.385797	−	1.16838i
$733$	448.639	−	517.757i	0.612058	−	0.706353i	−0.362120	−	0.932131i	$-0.617947\pi$
$733$	448.639	−	517.757i	0.612058	−	0.706353i	0.974179	+	0.225778i	$0.0724925\pi$
$734$	382.023	−	594.439i	0.520467	−	0.809862i
$735$	796.488	−	550.214i	1.08366	−	0.748591i
$736$	1081.79			1.46982
$737$	1259.65	+	478.391i	1.70916	+	0.649106i
$738$	−1498.72	+	550.904i	−2.03079	+	0.746483i
$739$	−50.9878	−	111.648i	−0.0689957	−	0.151080i	0.871992	−	0.489520i	$-0.162828\pi$
$739$	−50.9878	−	111.648i	−0.0689957	−	0.151080i	−0.940988	+	0.338440i	$0.890101\pi$
$740$	−762.447	+	1186.39i	−1.03033	+	1.60323i
$741$	−73.7927	+	123.701i	−0.0995853	+	0.166938i
$742$	−69.5327	−	483.611i	−0.0937099	−	0.651766i
$743$	842.841	+	121.182i	1.13438	+	0.163099i	0.683820	−	0.729650i	$-0.260317\pi$
$743$	842.841	+	121.182i	1.13438	+	0.163099i	0.450555	+	0.892749i	$0.351226\pi$
$744$	12.5346	−	8.65893i	0.0168476	−	0.0116384i
$745$	888.620	+	260.922i	1.19278	+	0.350231i
$746$	220.934	−	100.897i	0.296159	−	0.135251i
$747$	−460.606	−	348.229i	−0.616607	−	0.466170i
$748$	−134.050	−	932.341i	−0.179212	−	1.24644i
$749$	338.305	+	1152.16i	0.451675	+	1.53827i
$750$	573.487	−	285.367i	0.764649	−	0.380489i
$751$	371.696	−	428.960i	0.494934	−	0.571185i	−0.452243	−	0.891895i	$-0.649376\pi$
$751$	371.696	−	428.960i	0.494934	−	0.571185i	0.947177	+	0.320710i	$0.103922\pi$
$752$	472.325	+	215.704i	0.628092	+	0.286840i
$753$	1273.81	−	420.609i	1.69165	−	0.558578i
$754$	−84.0802	−	97.0337i	−0.111512	−	0.128692i
$755$	−1589.63	−	1377.42i	−2.10547	−	1.82440i
$756$	−97.8620	−	975.562i	−0.129447	−	1.29043i
$757$	−177.285	−	113.934i	−0.234194	−	0.150508i	0.418281	−	0.908318i	$-0.362633\pi$
$757$	−177.285	−	113.934i	−0.234194	−	0.150508i	−0.652475	+	0.757810i	$0.726269\pi$
$758$	−551.510	−	79.2951i	−0.727585	−	0.104611i
$759$	−1072.82	+	994.089i	−1.41347	+	1.30973i
$760$	67.3808	+	43.3030i	0.0886590	+	0.0569777i
$761$	−33.9289	+	29.3995i	−0.0445846	+	0.0386328i	−0.676868	−	0.736104i	$-0.736663\pi$
$761$	−33.9289	+	29.3995i	−0.0445846	+	0.0386328i	0.632283	+	0.774737i	$0.282118\pi$
$762$	258.692	+	519.880i	0.339491	+	0.682257i
$763$	1193.25	+	1377.08i	1.56389	+	1.80483i
$764$	−107.903	−	15.5141i	−0.141235	−	0.0203065i
$765$	−853.535	+	56.9748i	−1.11573	+	0.0744768i
$766$	−300.077			−0.391745
$767$		−	78.2025i		−	0.101959i
$768$	−829.735	−	91.1985i	−1.08038	−	0.118748i
$769$	857.601	−	551.147i	1.11522	−	0.716706i	0.152793	−	0.988258i	$-0.451173\pi$
$769$	857.601	−	551.147i	1.11522	−	0.716706i	0.962424	+	0.271552i	$0.0875370\pi$
$770$	−3768.14	−	1720.85i	−4.89369	−	2.23487i
$771$	−303.694	−	78.2815i	−0.393896	−	0.101532i
$772$	254.459	−	163.531i	0.329610	−	0.211828i
$773$	43.7522	−	149.006i	0.0566005	−	0.192764i	−0.926340	−	0.376689i	$-0.877062\pi$
$773$	43.7522	−	149.006i	0.0566005	−	0.192764i	0.982940	+	0.183926i	$0.0588806\pi$
$774$	657.867	+	1789.71i	0.849957	+	2.31229i
$775$	338.611			0.436917
$776$	−7.29944	+	24.8596i	−0.00940649	+	0.0320356i
$777$	−45.5063	−	1364.97i	−0.0585667	−	1.75672i
$778$	547.842	+	632.244i	0.704167	+	0.812653i
$779$	−353.944	−	1205.42i	−0.454357	−	1.54740i
$780$	135.118	−	166.859i	0.173228	−	0.213922i
$781$	−96.9380	−	62.2983i	−0.124120	−	0.0797673i
$782$	−450.001	−	700.216i	−0.575449	−	0.895417i
$783$	473.730	−	192.285i	0.605019	−	0.245574i
$784$	−586.350	−	376.824i	−0.747896	−	0.480643i
$785$	−986.645	−	450.586i	−1.25687	−	0.573994i
$786$	362.611	−	607.856i	0.461338	−	0.773354i
$787$	460.458	+	531.396i	0.585080	+	0.675218i	0.968689	−	0.248278i	$-0.0798645\pi$
$787$	460.458	+	531.396i	0.585080	+	0.675218i	−0.383609	+	0.923495i	$0.625319\pi$
$788$	535.975	−	77.0616i	0.680171	−	0.0977939i
$789$	−578.583	−	149.138i	−0.733311	−	0.189022i
$790$	981.766	−	1133.02i	1.24274	−	1.43420i
$791$	39.4382	+	134.314i	0.0498587	+	0.169803i
$792$	76.0476	−	56.3672i	0.0960197	−	0.0711707i
$793$	27.1830	+	189.062i	0.0342787	+	0.238413i
$794$	185.445	+	288.558i	0.233558	+	0.363424i
$795$	242.153	+	350.539i	0.304595	+	0.440930i
$796$	−610.596	−	179.287i	−0.767081	−	0.225235i
$797$	−1105.45	+	504.842i	−1.38701	+	0.633428i	−0.962323	−	0.271910i	$-0.912345\pi$
$797$	−1105.45	+	504.842i	−1.38701	+	0.633428i	−0.424692	+	0.905338i	$0.639618\pi$
$798$	1579.80	−	52.6683i	1.97969	−	0.0660004i
$799$	−54.3114	−	377.744i	−0.0679743	−	0.472771i
$800$	−1176.07	−	1019.07i	−1.47009	−	1.27384i
$801$	−19.7057	+	88.5594i	−0.0246013	+	0.110561i
$802$	−274.418	−	600.891i	−0.342167	−	0.749240i
$803$		−	22.4839i		−	0.0279999i
$804$	765.649	+	33.7336i	0.952300	+	0.0419573i
$805$	−1786.45			−2.21920
$806$	59.8889	−	27.3503i	0.0743038	−	0.0339334i
$807$	−239.159	+	573.527i	−0.296356	+	0.710690i
$808$	27.3812	−	31.5996i	0.0338876	−	0.0391084i
$809$	−1543.42	+	221.911i	−1.90782	+	0.274302i	−0.991895	−	0.127059i	$-0.959446\pi$
$809$	−1543.42	+	221.911i	−1.90782	+	0.274302i	−0.915920	+	0.401361i	$0.868537\pi$
$810$	933.103	+	1482.70i	1.15198	+	1.83049i
$811$	−227.483	−	498.117i	−0.280496	−	0.614202i	0.715976	−	0.698125i	$-0.245982\pi$
$811$	−227.483	−	498.117i	−0.280496	−	0.614202i	−0.996472	+	0.0839236i	$0.973255\pi$
$812$	−193.725	+	659.767i	−0.238578	+	0.812521i
$813$	−504.208	−	729.890i	−0.620183	−	0.897774i
$814$	−2260.47	+	1452.71i	−2.77698	+	1.78466i
$815$	−66.2326	+	9.52281i	−0.0812670	+	0.0116844i
$816$	274.384	+	551.415i	0.336255	+	0.675754i
$817$	−1439.46	+	422.665i	−1.76189	+	0.517338i
$818$	−1378.96	−	1194.87i	−1.68577	−	1.46072i
$819$	−15.8176	+	207.323i	−0.0193133	+	0.253142i
$820$	266.509	+	1853.61i	0.325011	+	2.26050i
$821$	−616.180	+	533.923i	−0.750524	+	0.650332i	−0.943689	−	0.330834i	$-0.892670\pi$
$821$	−616.180	+	533.923i	−0.750524	+	0.650332i	0.193165	+	0.981166i	$0.438125\pi$
$822$	−118.572	+	198.766i	−0.144248	+	0.241807i
$823$	−245.130	+	536.760i	−0.297849	+	0.652199i	−0.998095	−	0.0617035i	$-0.980347\pi$
$823$	−245.130	+	536.760i	−0.297849	+	0.652199i	0.700245	+	0.713902i	$0.253074\pi$
$824$	−5.57429	+	8.67376i	−0.00676491	+	0.0105264i
$825$	2102.78	−	70.1039i	2.54882	−	0.0849744i
$826$	−721.952	+	463.971i	−0.874035	+	0.561708i
$827$	117.174	−	182.326i	0.141686	−	0.220467i	−0.763157	−	0.646213i	$-0.776352\pi$
$827$	117.174	−	182.326i	0.141686	−	0.220467i	0.904843	+	0.425746i	$0.139988\pi$
$828$	−402.144	+	728.231i	−0.485681	+	0.879506i
$829$	1075.00	−	315.649i	1.29675	−	0.380759i	0.440698	−	0.897656i	$-0.354731\pi$
$829$	1075.00	−	315.649i	1.29675	−	0.380759i	0.856048	+	0.516897i	$0.172913\pi$
$830$	−1048.70	+	908.704i	−1.26349	+	1.09482i
$831$	32.5389	+	976.011i	0.0391564	+	1.17450i
$832$	−134.716	−	39.5562i	−0.161918	−	0.0475435i
$833$			512.267i			0.614966i
$834$	−40.9355	−	230.014i	−0.0490834	−	0.275796i
$835$	1694.58	+	497.574i	2.02944	+	0.595897i
$836$	−820.541	−	1276.79i	−0.981508	−	1.52726i
$837$	26.1679	+	260.861i	0.0312639	+	0.311662i
$838$	−106.269	+	232.696i	−0.126812	+	0.277680i
$839$	−163.105	−	253.796i	−0.194404	−	0.302498i	0.730343	−	0.683080i	$-0.239360\pi$
$839$	−163.105	−	253.796i	−0.194404	−	0.302498i	−0.924747	+	0.380582i	$0.875724\pi$
$840$	114.929	+	12.6321i	0.136820	+	0.0150383i
$841$	482.436			0.573645
$842$			183.755i			0.218236i
$843$	71.9235	−	654.369i	0.0853185	−	0.776238i
$844$	−182.205	+	1267.26i	−0.215882	+	1.50149i
$845$	953.864	−	826.528i	1.12883	−	0.978139i
$846$	−627.882	+	465.392i	−0.742178	+	0.550109i
$847$	−1767.81	−	2040.16i	−2.08714	−	2.40869i
$848$	165.843	−	258.056i	0.195569	−	0.304312i
$849$	−623.031	+	577.307i	−0.733841	+	0.679985i
$850$	−170.400	+	1185.16i	−0.200470	+	1.39430i
$851$	−626.484	+	974.828i	−0.736174	+	1.14551i
$852$	−63.4662	−	16.3593i	−0.0744909	−	0.0192011i
$853$	−332.747	+	384.011i	−0.390091	+	0.450189i	−0.916495	−	0.400046i	$-0.868994\pi$
$853$	−332.747	+	384.011i	−0.390091	+	0.450189i	0.526405	+	0.850234i	$0.323540\pi$
$854$	1584.11	−	1372.64i	1.85493	−	1.60731i
$855$	−1212.87	+	654.824i	−1.41857	+	0.765876i
$856$	−27.3927	+	59.9816i	−0.0320008	+	0.0700720i
$857$	766.465	+	664.146i	0.894359	+	0.774966i	0.975099	−	0.221769i	$-0.0711831\pi$
$857$	766.465	+	664.146i	0.894359	+	0.774966i	−0.0807406	+	0.996735i	$0.525729\pi$
$858$	366.248	−	182.245i	0.426863	−	0.212407i
$859$	−261.120	+	76.6716i	−0.303981	+	0.0892569i	−0.430166	−	0.902750i	$-0.641545\pi$
$859$	−261.120	+	76.6716i	−0.303981	+	0.0892569i	0.126185	+	0.992007i	$0.459727\pi$
$860$	2213.50	−	318.253i	2.57384	−	0.370062i
$861$	−1232.62	−	1330.24i	−1.43161	−	1.54500i
$862$	−831.565	−	1820.87i	−0.964692	−	2.11238i
$863$	164.267	−	559.442i	0.190344	−	0.648252i	−0.807917	−	0.589297i	$-0.799405\pi$
$863$	164.267	−	559.442i	0.190344	−	0.648252i	0.998261	−	0.0589553i	$-0.0187770\pi$
$864$	694.192	−	984.783i	0.803463	−	1.13980i
$865$	164.831	−	1146.42i	0.190555	−	1.32534i
$866$	469.606	−	67.5191i	0.542270	−	0.0779667i
$867$	−212.265	+	355.826i	−0.244827	+	0.410410i
$868$	−296.628	−	190.631i	−0.341737	−	0.219621i
$869$	1268.05	−	579.101i	1.45921	−	0.666399i
$870$	−215.278	−	1209.63i	−0.247446	−	1.39038i
$871$	−158.606	−	35.4934i	−0.182096	−	0.0407501i
$872$			100.061i			0.114749i
$873$	−313.774	−	316.767i	−0.359420	−	0.362849i
$874$	−1128.25	−	725.083i	−1.29090	−	0.829614i
$875$	549.823	+	476.424i	0.628369	+	0.544485i
$876$	−4.00976	−	12.1435i	−0.00457735	−	0.0138625i
$877$	−195.188	+	1357.56i	−0.222563	+	1.54796i	0.505729	+	0.862692i	$0.331224\pi$
$877$	−195.188	+	1357.56i	−0.222563	+	1.54796i	−0.728292	+	0.685267i	$0.759685\pi$
$878$	969.585	−	442.794i	1.10431	−	0.504322i
$879$	−41.5551	+	378.073i	−0.0472754	+	0.430117i
$880$	−1080.42	−	2365.79i	−1.22775	−	2.68840i
$881$	336.670	+	523.869i	0.382145	+	0.594629i	0.978036	−	0.208436i	$-0.0668373\pi$
$881$	336.670	+	523.869i	0.382145	+	0.594629i	−0.595891	+	0.803065i	$0.703201\pi$
$882$	923.143	−	498.400i	1.04665	−	0.565079i
$883$	−567.315	+	166.579i	−0.642486	+	0.188651i	−0.586716	−	0.809793i	$-0.699579\pi$
$883$	−567.315	+	166.579i	−0.642486	+	0.188651i	−0.0557697	+	0.998444i	$0.517761\pi$
$884$	32.0094	+	109.014i	0.0362097	+	0.123319i
$885$	383.383	−	642.676i	0.433201	−	0.726188i
$886$	−359.989	+	788.266i	−0.406308	+	0.889690i
$887$	−252.757	+	36.3410i	−0.284957	+	0.0409707i	−0.283311	−	0.959028i	$-0.591433\pi$
$887$	−252.757	+	36.3410i	−0.284957	+	0.0409707i	−0.00164583	+	0.999999i	$0.500524\pi$
$888$	47.1970	−	58.2842i	0.0531497	−	0.0656353i
$889$	−431.891	+	498.428i	−0.485816	+	0.560662i
$890$	198.322	+	90.5706i	0.222834	+	0.101765i
$891$	216.510	+	1614.53i	0.242996	+	1.81205i
$892$	96.6493	−	672.211i	0.108351	−	0.753600i
$893$	−332.448	−	517.299i	−0.372282	−	0.579282i
$894$	926.350	+	386.285i	1.03619	+	0.432086i
$895$	−1186.75	−	1369.58i	−1.32597	−	1.53026i
$896$	−44.8553	−	152.763i	−0.0500617	−	0.170494i
$897$	111.023	−	137.104i	0.123771	−	0.152847i
$898$	176.831	−	1229.89i	0.196917	−	1.36959i
$899$	51.8012	−	176.419i	0.0576209	−	0.196239i
$900$	1123.20	−	412.870i	1.24800	−	0.458745i
$901$	−225.452			−0.250224
$902$	−1005.24	+	3423.52i	−1.11445	+	3.79548i
$903$	−1588.52	+	1471.94i	−1.75916	+	1.63006i
$904$	−3.19333	+	6.99241i	−0.00353244	+	0.00773497i
$905$	−1325.73	−	605.443i	−1.46490	−	0.668998i
$906$	−1549.30	−	1672.01i	−1.71004	−	1.84548i
$907$	1171.86	+	344.090i	1.29202	+	0.379371i	0.854319	−	0.519749i	$-0.173974\pi$
$907$	1171.86	+	344.090i	1.29202	+	0.379371i	0.437701	+	0.899120i	$0.355793\pi$
$908$		−	1488.68i		−	1.63952i
$909$	248.250	+	675.357i	0.273102	+	0.742967i
$910$	479.431	+	140.774i	0.526848	+	0.154696i
$911$	1193.91	+	171.659i	1.31055	+	0.188429i	0.761939	−	0.647649i	$-0.224248\pi$
$911$	1193.91	+	171.659i	1.31055	+	0.188429i	0.548611	+	0.836077i	$0.315157\pi$
$912$	771.251	+	624.539i	0.845670	+	0.684801i
$913$	−1238.02	+	363.516i	−1.35599	+	0.398155i
$914$	1617.82	−	1401.85i	1.77004	−	1.53375i
$915$	−703.472	+	1686.99i	−0.768821	+	1.84371i
$916$	491.561	−	315.907i	0.536639	−	0.344877i
$917$	795.698	+	114.404i	0.867719	+	0.124759i
$918$	−926.195	−	39.6845i	−1.00893	−	0.0432293i
$919$	−590.079	+	1292.09i	−0.642088	+	1.40598i	0.256223	+	0.966618i	$0.417522\pi$
$919$	−590.079	+	1292.09i	−0.642088	+	1.40598i	−0.898311	+	0.439360i	$0.855205\pi$
$920$	−74.1397	−	64.2424i	−0.0805866	−	0.0698287i
$921$	−802.747	−	650.043i	−0.871604	−	0.705802i
$922$	40.5207	+	281.827i	0.0439487	+	0.305670i
$923$	12.6432	+	5.77394i	0.0136979	+	0.00625563i
$924$	−1881.53	−	1122.41i	−2.03629	−	1.21473i
$925$	1599.40	−	469.625i	1.72908	−	0.507703i
$926$	496.781	+	1691.88i	0.536480	+	1.82708i
$927$	−84.2938	−	156.130i	−0.0909318	−	0.168425i
$928$	−710.862	+	456.843i	−0.766015	+	0.492288i
$929$	−1140.46	+	520.829i	−1.22762	+	0.560634i	−0.920390	−	0.391002i	$-0.872129\pi$
$929$	−1140.46	+	520.829i	−1.22762	+	0.560634i	−0.307228	+	0.951636i	$0.599401\pi$
$930$	626.257	+	68.8336i	0.673394	+	0.0740146i
$931$	342.888	+	750.819i	0.368300	+	0.806465i
$932$	633.148	+	91.0329i	0.679343	+	0.0976748i
$933$	812.301	−	268.220i	0.870634	−	0.287481i
$934$	1063.86	−	1227.76i	1.13903	−	1.31452i
$935$	−1033.44	+	1608.06i	−1.10528	+	1.71985i
$936$	−8.11196	+	8.03531i	−0.00866663	+	0.00858473i
$937$	294.156			0.313934			0.156967	−	0.987604i	$-0.449828\pi$
$937$	294.156			0.313934			0.156967	+	0.987604i	$0.449828\pi$
$938$	613.330	+	1674.80i	0.653869	+	1.78550i
$939$	885.422	−	157.579i	0.942941	−	0.167815i
$940$	380.768	+	833.766i	0.405072	+	0.886985i
$941$	181.888	−	283.023i	0.193292	−	0.300769i	−0.731057	−	0.682317i	$-0.760973\pi$
$941$	181.888	−	283.023i	0.193292	−	0.300769i	0.924349	+	0.381548i	$0.124609\pi$
$942$	−1009.49	−	602.202i	−1.07164	−	0.639280i
$943$	218.983	+	1523.06i	0.232220	+	1.61513i
$944$	−533.319	−	76.6798i	−0.564957	−	0.0812286i
$945$	−1146.38	+	1626.26i	−1.21310	+	1.72091i
$946$	4088.22	+	1200.41i	4.32159	+	1.26893i
$947$	337.413	−	154.092i	0.356297	−	0.162715i	−0.229222	−	0.973374i	$-0.573618\pi$
$947$	337.413	−	154.092i	0.356297	−	0.162715i	0.585519	+	0.810659i	$0.300891\pi$
$948$	581.597	−	538.914i	0.613499	−	0.568475i
$949$	0.385963	+	2.68443i	0.000406705	+	0.00282869i
$950$	543.537	+	1851.12i	0.572144	+	1.94854i
$951$	500.877	+	1006.59i	0.526684	+	1.05845i
$952$	−40.0665	+	46.2392i	−0.0420867	+	0.0485706i
$953$	−1274.22	−	581.917i	−1.33706	−	0.610616i	−0.386828	−	0.922152i	$-0.626429\pi$
$953$	−1274.22	−	581.917i	−1.33706	−	0.610616i	−0.950234	+	0.311536i	$0.899157\pi$
$954$	219.349	+	406.281i	0.229925	+	0.425871i
$955$	144.872	+	167.191i	0.151699	+	0.175070i
$956$	149.167	+	129.254i	0.156032	+	0.135202i
$957$	285.162	−	1106.29i	0.297975	−	1.15600i
$958$	−1446.74	−	929.761i	−1.51016	−	0.970523i
$959$	−260.189	−	37.4095i	−0.271313	−	0.0390089i
$960$	−913.188	−	985.514i	−0.951238	−	1.02658i
$961$	−729.128	−	468.582i	−0.758718	−	0.487598i
$962$	244.947	−	212.248i	0.254622	−	0.220632i
$963$	−675.715	−	911.639i	−0.701677	−	0.946666i
$964$	−806.518	−	930.772i	−0.836637	−	0.965531i
$965$	−607.584	−	87.3573i	−0.629620	−	0.0905257i
$966$	−1924.41	−	211.517i	−1.99215	−	0.218962i
$967$	−955.925			−0.988547			−0.494274	−	0.869306i	$-0.664566\pi$
$967$	−955.925			−0.988547			−0.494274	+	0.869306i	$0.664566\pi$
$968$		−	148.241i		−	0.153141i
$969$	79.6888	−	725.018i	0.0822382	−	0.748213i
$970$	−901.378	+	579.280i	−0.929256	+	0.597196i
$971$	544.134	+	248.498i	0.560386	+	0.255919i	0.675409	−	0.737443i	$-0.263967\pi$
$971$	544.134	+	248.498i	0.560386	+	0.255919i	−0.115024	+	0.993363i	$0.536694\pi$
$972$	404.870	+	833.393i	0.416533	+	0.857400i
$973$	223.221	−	143.455i	0.229415	−	0.147436i
$974$	−125.299	+	426.729i	−0.128644	+	0.438120i
$975$	−249.854	+	44.4666i	−0.256261	+	0.0456067i
$976$	1316.00			1.34836
$977$	226.359	−	770.909i	0.231688	−	0.789057i	−0.758784	−	0.651343i	$-0.774206\pi$
$977$	226.359	−	770.909i	0.231688	−	0.789057i	0.990472	−	0.137715i	$-0.0439757\pi$
$978$	−72.4749	+	2.41622i	−0.0741052	+	0.00247057i
$979$	132.760	+	153.213i	0.135608	+	0.156500i
$980$	−346.633	−	1180.52i	−0.353707	−	1.20462i
$981$	−1507.36	−	832.397i	−1.53656	−	0.848519i
$982$	−1672.67	−	1074.96i	−1.70333	−	1.09466i
$983$	848.588	+	1320.43i	0.863264	+	1.34326i	0.938206	+	0.346077i	$0.112486\pi$
$983$	848.588	+	1320.43i	0.863264	+	1.34326i	−0.0749427	+	0.997188i	$0.523877\pi$
$984$	−3.31828	−	99.5324i	−0.00337224	−	0.101151i
$985$	−924.428	−	594.094i	−0.938505	−	0.603141i
$986$	591.407	+	270.086i	0.599804	+	0.273921i
$987$	−762.314	−	454.752i	−0.772355	−	0.460742i
$988$	119.885	+	138.354i	0.121341	+	0.140035i
$989$	1818.78	−	261.501i	1.83901	−	0.264409i
$990$	3903.31	+	297.801i	3.94274	+	0.300809i
$991$	−749.879	+	865.407i	−0.756690	+	0.873266i	−0.995199	−	0.0978740i	$-0.968796\pi$
$991$	−749.879	+	865.407i	−0.756690	+	0.873266i	0.238509	+	0.971140i	$0.423341\pi$
$992$	−122.076	−	415.754i	−0.123061	−	0.419106i
$993$	0.640281	−	0.318603i	0.000644794	−	0.000320849i
$994$	−21.7071	−	150.976i	−0.0218381	−	0.151887i
$995$	698.200	+	1086.42i	0.701708	+	1.09188i
$996$	−603.823	+	417.121i	−0.606248	+	0.418796i
$997$	1365.72	+	401.011i	1.36983	+	0.402218i	0.882217	−	0.470843i	$-0.156050\pi$
$997$	1365.72	+	401.011i	1.36983	+	0.402218i	0.487612	+	0.873061i	$0.337868\pi$
$998$	406.503	−	185.644i	0.407317	−	0.186016i
$999$	485.394	+	1195.86i	0.485880	+	1.19706i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.3.k.a.14.9	✓	440
3.2	odd	2	inner	201.3.k.a.14.36	yes	440
67.24	even	11	inner	201.3.k.a.158.36	yes	440
201.158	odd	22	inner	201.3.k.a.158.9	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.3.k.a.14.9	✓	440	1.1	even	1	trivial
201.3.k.a.14.36	yes	440	3.2	odd	2	inner
201.3.k.a.158.9	yes	440	201.158	odd	22	inner
201.3.k.a.158.36	yes	440	67.24	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	201.k (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.54256 + 1.16115i) q^{2} +(2.76891 + 1.15463i) q^{3} +(2.49692 - 2.88159i) q^{4} +(-7.65897 + 1.10119i) q^{5} +(-8.38081 + 0.279405i) q^{6} +(-3.95633 - 8.66315i) q^{7} +(0.147343 - 0.501803i) q^{8} +(6.33368 + 6.39410i) q^{9} +O(q^{10})\)	\(q+(-2.54256 + 1.16115i) q^{2} +(2.76891 + 1.15463i) q^{3} +(2.49692 - 2.88159i) q^{4} +(-7.65897 + 1.10119i) q^{5} +(-8.38081 + 0.279405i) q^{6} +(-3.95633 - 8.66315i) q^{7} +(0.147343 - 0.501803i) q^{8} +(6.33368 + 6.39410i) q^{9} +(18.1948 - 11.6931i) q^{10} +(19.9062 - 2.86208i) q^{11} +(10.2409 - 5.09586i) q^{12} +(-2.32754 + 0.683427i) q^{13} +(20.1184 + 17.4327i) q^{14} +(-22.4784 - 5.79414i) q^{15} +(2.37857 + 16.5433i) q^{16} +(9.28344 - 8.04414i) q^{17} +(-23.5283 - 8.90305i) q^{18} +(8.22218 - 18.0041i) q^{19} +(-15.9506 + 24.8196i) q^{20} +(-0.952004 - 28.5555i) q^{21} +(-47.2895 + 30.3911i) q^{22} +(-13.1062 + 20.3937i) q^{23} +(0.987373 - 1.21932i) q^{24} +(33.4598 - 9.82468i) q^{25} +(5.12435 - 4.44028i) q^{26} +(10.1546 + 25.0177i) q^{27} +(-34.8423 - 10.2306i) q^{28} -18.9358i q^{29} +(63.8807 - 11.3688i) q^{30} +(9.31668 + 2.73562i) q^{31} +(-24.1259 - 37.5406i) q^{32} +(58.4231 + 15.0594i) q^{33} +(-14.2633 + 31.2322i) q^{34} +(39.8412 + 61.9941i) q^{35} +(34.2399 - 2.28556i) q^{36} +47.8005 q^{37} +55.3236i q^{38} +(-7.23384 - 0.795091i) q^{39} +(-0.575910 + 4.00555i) q^{40} +(47.9701 - 41.5664i) q^{41} +(35.5778 + 71.4988i) q^{42} +(-49.6368 - 57.2839i) q^{43} +(41.4568 - 64.5080i) q^{44} +(-55.5506 - 41.9976i) q^{45} +(9.64327 - 67.0704i) q^{46} +(16.7965 - 26.1359i) q^{47} +(-12.5153 + 48.5532i) q^{48} +(-27.3095 + 31.5169i) q^{49} +(-73.6657 + 63.8317i) q^{50} +(34.9929 - 11.5546i) q^{51} +(-3.84231 + 8.41348i) q^{52} +(-13.8708 - 12.0191i) q^{53} +(-54.8679 - 51.8181i) q^{54} +(-149.309 + 43.8412i) q^{55} +(-4.93013 + 0.708846i) q^{56} +(43.5544 - 40.3580i) q^{57} +(21.9873 + 48.1454i) q^{58} +(-9.08244 + 30.9319i) q^{59} +(-72.8231 + 50.3062i) q^{60} +(11.2058 - 77.9380i) q^{61} +(-26.8647 + 3.86256i) q^{62} +(30.3350 - 80.1668i) q^{63} +(48.6910 + 31.2918i) q^{64} +(17.0739 - 7.79741i) q^{65} +(-166.031 + 29.5485i) q^{66} +(58.6122 + 32.4594i) q^{67} -46.8366i q^{68} +(-59.8369 + 41.3353i) q^{69} +(-173.283 - 111.362i) q^{70} +(-4.33025 - 3.75218i) q^{71} +(4.14180 - 2.23614i) q^{72} +(0.159107 - 1.10662i) q^{73} +(-121.536 + 55.5036i) q^{74} +(103.991 + 11.4299i) q^{75} +(-31.3503 - 68.6476i) q^{76} +(-103.550 - 161.127i) q^{77} +(19.3157 - 6.37800i) q^{78} +(66.5092 - 19.5289i) q^{79} +(-36.4347 - 124.085i) q^{80} +(-0.769028 + 80.9963i) q^{81} +(-73.7023 + 161.386i) q^{82} +(-63.5054 + 9.13070i) q^{83} +(-84.6625 - 68.5575i) q^{84} +(-62.2434 + 71.8327i) q^{85} +(192.720 + 88.0122i) q^{86} +(21.8638 - 52.4314i) q^{87} +(1.49683 - 10.4107i) q^{88} +(5.44998 + 8.48033i) q^{89} +(190.006 + 42.2790i) q^{90} +(15.1291 + 17.4600i) q^{91} +(26.0411 + 88.6880i) q^{92} +(22.6384 + 18.3320i) q^{93} +(-12.3585 + 85.9554i) q^{94} +(-43.1474 + 146.947i) q^{95} +(-23.4570 - 131.803i) q^{96} -49.5406 q^{97} +(32.8404 - 111.844i) q^{98} +(144.380 + 109.155i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9}+O(q^{10}) \) 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9	\( 440 q - 11 q^{3} + 70 q^{4} - 17 q^{6} - 30 q^{7} - 15 q^{9} - 34 q^{10} - 123 q^{12} + 10 q^{13} + 19 q^{15} - 226 q^{16} - 33 q^{18} - 100 q^{19} + 85 q^{21} - 454 q^{22} - 251 q^{24} + 142 q^{25} - 53 q^{27} + 642 q^{28} - 80 q^{30} - 130 q^{31} + 104 q^{33} + 26 q^{34} + 67 q^{36} - 144 q^{37} + 117 q^{39} - 182 q^{40} + 193 q^{42} - 156 q^{43} + 341 q^{45} - 746 q^{46} - 485 q^{48} - 354 q^{49} - 125 q^{51} + 1130 q^{52} + 272 q^{54} - 590 q^{55} + 15 q^{57} - 274 q^{58} - 217 q^{60} - 1134 q^{61} + 279 q^{63} + 58 q^{64} + 1288 q^{66} - 87 q^{69} + 1038 q^{70} - 977 q^{72} + 1208 q^{73} - 751 q^{75} + 1126 q^{76} - 11 q^{78} + 678 q^{79} + 125 q^{81} + 510 q^{82} + 191 q^{84} + 166 q^{85} + 1080 q^{87} + 62 q^{88} - 105 q^{90} + 550 q^{91} + 635 q^{93} + 986 q^{94} - 1632 q^{96} - 112 q^{97} - 500 q^{99}+O(q^{100}) \) 440 * q - 11 * q^3 + 70 * q^4 - 17 * q^6 - 30 * q^7 - 15 * q^9 - 34 * q^10 - 123 * q^12 + 10 * q^13 + 19 * q^15 - 226 * q^16 - 33 * q^18 - 100 * q^19 + 85 * q^21 - 454 * q^22 - 251 * q^24 + 142 * q^25 - 53 * q^27 + 642 * q^28 - 80 * q^30 - 130 * q^31 + 104 * q^33 + 26 * q^34 + 67 * q^36 - 144 * q^37 + 117 * q^39 - 182 * q^40 + 193 * q^42 - 156 * q^43 + 341 * q^45 - 746 * q^46 - 485 * q^48 - 354 * q^49 - 125 * q^51 + 1130 * q^52 + 272 * q^54 - 590 * q^55 + 15 * q^57 - 274 * q^58 - 217 * q^60 - 1134 * q^61 + 279 * q^63 + 58 * q^64 + 1288 * q^66 - 87 * q^69 + 1038 * q^70 - 977 * q^72 + 1208 * q^73 - 751 * q^75 + 1126 * q^76 - 11 * q^78 + 678 * q^79 + 125 * q^81 + 510 * q^82 + 191 * q^84 + 166 * q^85 + 1080 * q^87 + 62 * q^88 - 105 * q^90 + 550 * q^91 + 635 * q^93 + 986 * q^94 - 1632 * q^96 - 112 * q^97 - 500 * q^99

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