LMFDB - Embedded newform 35.3.i.a.19.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [35,3,Mod(19,35)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(35, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([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("35.19");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 35 = 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	35.i (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:	$0.953680925261$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$6$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 15x^{10} + 180x^{8} - 669x^{6} + 1980x^{4} - 135x^{2} + 9 $ x^12 - 15x^10 + 180x^8 - 669x^6 + 1980x^4 - 135*x^2 + 9
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 2^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.2
Root			$-1.74002 - 1.00460i$ of defining polynomial
Character	$\chi$	$=$	35.19
Dual form			35.3.i.a.24.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.74002 - 1.00460i) q^{2} +(-0.784824 - 1.35935i) q^{3} +(0.0184439 + 0.0319457i) q^{4} +(-4.64034 - 1.86205i) q^{5} +3.15374i q^{6} +(1.38623 - 6.86137i) q^{7} +7.96269i q^{8} +(3.26810 - 5.66052i) q^{9} +O(q^{10})$	\(q+(-1.74002 - 1.00460i) q^{2} +(-0.784824 - 1.35935i) q^{3} +(0.0184439 + 0.0319457i) q^{4} +(-4.64034 - 1.86205i) q^{5} +3.15374i q^{6} +(1.38623 - 6.86137i) q^{7} +7.96269i q^{8} +(3.26810 - 5.66052i) q^{9} +(6.20367 + 7.90169i) q^{10} +(4.78655 + 8.29054i) q^{11} +(0.0289503 - 0.0501435i) q^{12} +13.9463 q^{13} +(-9.30499 + 10.5463i) q^{14} +(1.11066 + 7.76925i) q^{15} +(8.07310 - 13.9830i) q^{16} +(-8.97665 - 15.5480i) q^{17} +(-11.3731 + 6.56628i) q^{18} +(-9.91497 - 5.72441i) q^{19} +(-0.0261013 - 0.182582i) q^{20} +(-10.4150 + 3.50059i) q^{21} -19.2343i q^{22} +(-7.35931 - 4.24890i) q^{23} +(10.8241 - 6.24931i) q^{24} +(18.0655 + 17.2811i) q^{25} +(-24.2667 - 14.0104i) q^{26} -24.3864 q^{27} +(0.244758 - 0.0822662i) q^{28} +26.6824 q^{29} +(5.87242 - 14.6344i) q^{30} +(-1.87157 + 1.08055i) q^{31} +(-0.511115 + 0.295092i) q^{32} +(7.51319 - 13.0132i) q^{33} +36.0718i q^{34} +(-19.2088 + 29.2579i) q^{35} +0.241106 q^{36} +(56.1667 + 32.4279i) q^{37} +(11.5015 + 19.9212i) q^{38} +(-10.9453 - 18.9579i) q^{39} +(14.8269 - 36.9496i) q^{40} -23.3267i q^{41} +(21.6389 + 4.37179i) q^{42} +0.506200i q^{43} +(-0.176565 + 0.305819i) q^{44} +(-25.7053 + 20.1814i) q^{45} +(8.53689 + 14.7863i) q^{46} +(-34.3500 + 59.4960i) q^{47} -25.3438 q^{48} +(-45.1568 - 19.0228i) q^{49} +(-14.0738 - 48.2181i) q^{50} +(-14.0902 + 24.4049i) q^{51} +(0.257223 + 0.445523i) q^{52} +(47.7045 - 27.5422i) q^{53} +(42.4327 + 24.4986i) q^{54} +(-6.77380 - 47.3837i) q^{55} +(54.6349 + 11.0381i) q^{56} +17.9706i q^{57} +(-46.4279 - 26.8051i) q^{58} +(54.5751 - 31.5090i) q^{59} +(-0.227709 + 0.178776i) q^{60} +(43.9307 + 25.3634i) q^{61} +4.34210 q^{62} +(-34.3086 - 30.2704i) q^{63} -63.3990 q^{64} +(-64.7154 - 25.9686i) q^{65} +(-26.1462 + 15.0955i) q^{66} +(-33.7366 + 19.4779i) q^{67} +(0.331128 - 0.573531i) q^{68} +13.3385i q^{69} +(62.8161 - 31.6121i) q^{70} +3.47954 q^{71} +(45.0730 + 26.0229i) q^{72} +(-12.3283 - 21.3533i) q^{73} +(-65.1541 - 112.850i) q^{74} +(9.31288 - 38.1201i) q^{75} -0.422321i q^{76} +(63.5197 - 21.3497i) q^{77} +43.9828i q^{78} +(-68.8832 + 119.309i) q^{79} +(-63.4990 + 49.8534i) q^{80} +(-10.2739 - 17.7950i) q^{81} +(-23.4340 + 40.5889i) q^{82} +110.042 q^{83} +(-0.303921 - 0.268149i) q^{84} +(12.7035 + 88.8631i) q^{85} +(0.508529 - 0.880798i) q^{86} +(-20.9410 - 36.2708i) q^{87} +(-66.0150 + 38.1138i) q^{88} +(84.0216 + 48.5099i) q^{89} +(65.0019 - 9.29243i) q^{90} +(19.3326 - 95.6904i) q^{91} -0.313464i q^{92} +(2.93771 + 1.69609i) q^{93} +(119.539 - 69.0161i) q^{94} +(35.3497 + 45.0254i) q^{95} +(0.802270 + 0.463191i) q^{96} -3.28023 q^{97} +(59.4633 + 78.4645i) q^{98} +62.5717 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{4} - 18 q^{9}+O(q^{10}) $ 12 * q + 6 * q^4 - 18 * q^9	$ 12 q + 6 q^{4} - 18 q^{9} - 54 q^{10} + 6 q^{11} - 66 q^{14} + 48 q^{15} - 6 q^{16} + 18 q^{19} + 12 q^{21} + 216 q^{24} + 18 q^{25} + 18 q^{26} + 48 q^{30} - 108 q^{31} + 222 q^{35} - 204 q^{36} - 240 q^{39} - 162 q^{40} - 42 q^{44} - 216 q^{45} + 114 q^{46} - 324 q^{49} - 192 q^{50} + 180 q^{51} + 252 q^{54} + 336 q^{56} + 396 q^{59} + 384 q^{60} - 108 q^{61} + 372 q^{64} - 54 q^{65} - 108 q^{66} + 300 q^{70} + 192 q^{71} - 594 q^{74} - 216 q^{75} - 192 q^{79} - 504 q^{80} + 294 q^{81} - 1200 q^{84} - 192 q^{85} - 384 q^{86} + 684 q^{89} - 72 q^{91} + 990 q^{94} + 288 q^{95} - 540 q^{96} + 396 q^{99}+O(q^{100}) $ 12 * q + 6 * q^4 - 18 * q^9 - 54 * q^10 + 6 * q^11 - 66 * q^14 + 48 * q^15 - 6 * q^16 + 18 * q^19 + 12 * q^21 + 216 * q^24 + 18 * q^25 + 18 * q^26 + 48 * q^30 - 108 * q^31 + 222 * q^35 - 204 * q^36 - 240 * q^39 - 162 * q^40 - 42 * q^44 - 216 * q^45 + 114 * q^46 - 324 * q^49 - 192 * q^50 + 180 * q^51 + 252 * q^54 + 336 * q^56 + 396 * q^59 + 384 * q^60 - 108 * q^61 + 372 * q^64 - 54 * q^65 - 108 * q^66 + 300 * q^70 + 192 * q^71 - 594 * q^74 - 216 * q^75 - 192 * q^79 - 504 * q^80 + 294 * q^81 - 1200 * q^84 - 192 * q^85 - 384 * q^86 + 684 * q^89 - 72 * q^91 + 990 * q^94 + 288 * q^95 - 540 * q^96 + 396 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/35\mathbb{Z}\right)^\times$.

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

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 $

$2$	−1.74002	−	1.00460i	−0.870009	−	0.502300i	−0.00265807	−	0.999996i	$-0.500846\pi$
$2$	−1.74002	−	1.00460i	−0.870009	−	0.502300i	−0.867351	+	0.497696i	$0.834179\pi$
$3$	−0.784824	−	1.35935i	−0.261608	−	0.453118i	0.705061	−	0.709146i	$-0.250919\pi$
$3$	−0.784824	−	1.35935i	−0.261608	−	0.453118i	−0.966669	+	0.256028i	$0.917586\pi$
$4$	0.0184439	+	0.0319457i	0.00461096	+	0.00798642i
$5$	−4.64034	−	1.86205i	−0.928068	−	0.372410i
$5$	−4.64034	−	1.86205i	−0.928068	−	0.372410i
$6$			3.15374i			0.525623i
$7$	1.38623	−	6.86137i	0.198032	−	0.980196i
$7$	1.38623	−	6.86137i	0.198032	−	0.980196i
$8$			7.96269i			0.995336i
$9$	3.26810	−	5.66052i	0.363123	−	0.628947i
$10$	6.20367	+	7.90169i	0.620367	+	0.790169i
$11$	4.78655	+	8.29054i	0.435141	+	0.753686i	0.997307	−	0.0733383i	$-0.0233653\pi$
$11$	4.78655	+	8.29054i	0.435141	+	0.753686i	−0.562166	+	0.827024i	$0.690032\pi$
$12$	0.0289503	−	0.0501435i	0.00241253	−	0.00417862i
$13$	13.9463			1.07279			0.536394	−	0.843967i	$-0.319786\pi$
$13$	13.9463			1.07279			0.536394	+	0.843967i	$0.319786\pi$
$14$	−9.30499	+	10.5463i	−0.664642	+	0.753308i
$15$	1.11066	+	7.76925i	0.0740442	+	0.517950i
$16$	8.07310	−	13.9830i	0.504568	−	0.873938i
$17$	−8.97665	−	15.5480i	−0.528038	−	0.914589i	−0.999466	−	0.0326844i	$-0.989594\pi$
$17$	−8.97665	−	15.5480i	−0.528038	−	0.914589i	0.471427	−	0.881905i	$-0.343739\pi$
$18$	−11.3731	+	6.56628i	−0.631840	+	0.364793i
$19$	−9.91497	−	5.72441i	−0.521841	−	0.301285i	0.215847	−	0.976427i	$-0.430749\pi$
$19$	−9.91497	−	5.72441i	−0.521841	−	0.301285i	−0.737687	+	0.675142i	$0.764082\pi$
$20$	−0.0261013	−	0.182582i	−0.00130506	−	0.00912911i
$21$	−10.4150	+	3.50059i	−0.495951	+	0.166695i
$22$		−	19.2343i		−	0.874285i
$23$	−7.35931	−	4.24890i	−0.319970	−	0.184735i	0.331409	−	0.943487i	$-0.392476\pi$
$23$	−7.35931	−	4.24890i	−0.319970	−	0.184735i	−0.651379	+	0.758752i	$0.725809\pi$
$24$	10.8241	−	6.24931i	0.451005	−	0.260388i
$25$	18.0655	+	17.2811i	0.722621	+	0.691244i
$26$	−24.2667	−	14.0104i	−0.933336	−	0.538862i
$27$	−24.3864			−0.903199
$28$	0.244758	−	0.0822662i	0.00874137	−	0.00293808i
$29$	26.6824			0.920083			0.460041	−	0.887897i	$-0.347835\pi$
$29$	26.6824			0.920083			0.460041	+	0.887897i	$0.347835\pi$
$30$	5.87242	−	14.6344i	0.195747	−	0.487814i
$31$	−1.87157	+	1.08055i	−0.0603733	+	0.0348566i	−0.529883	−	0.848071i	$-0.677764\pi$
$31$	−1.87157	+	1.08055i	−0.0603733	+	0.0348566i	0.469509	+	0.882927i	$0.344431\pi$
$32$	−0.511115	+	0.295092i	−0.0159723	+	0.00922163i
$33$	7.51319	−	13.0132i	0.227672	−	0.394340i
$34$			36.0718i			1.06094i
$35$	−19.2088	+	29.2579i	−0.548822	+	0.835939i
$36$	0.241106			0.00669738
$37$	56.1667	+	32.4279i	1.51802	+	0.876428i	0.999775	+	0.0211951i	$0.00674712\pi$
$37$	56.1667	+	32.4279i	1.51802	+	0.876428i	0.518243	+	0.855233i	$0.326586\pi$
$38$	11.5015	+	19.9212i	0.302671	+	0.524241i
$39$	−10.9453	−	18.9579i	−0.280650	−	0.486100i
$40$	14.8269	−	36.9496i	0.370673	−	0.923740i
$41$		−	23.3267i		−	0.568944i	−0.958684	−	0.284472i	$-0.908182\pi$
$41$		−	23.3267i		−	0.568944i	0.958684	−	0.284472i	$-0.0918183\pi$
$42$	21.6389	+	4.37179i	0.515213	+	0.104090i
$43$			0.506200i			0.0117721i	0.999983	+	0.00588605i	$0.00187360\pi$
$43$			0.506200i			0.0117721i	−0.999983	+	0.00588605i	$0.998126\pi$
$44$	−0.176565	+	0.305819i	−0.00401284	+	0.00695043i
$45$	−25.7053	+	20.1814i	−0.571229	+	0.448475i
$46$	8.53689	+	14.7863i	0.185585	+	0.321442i
$47$	−34.3500	+	59.4960i	−0.730851	+	1.26587i	0.225668	+	0.974204i	$0.427543\pi$
$47$	−34.3500	+	59.4960i	−0.730851	+	1.26587i	−0.956520	+	0.291667i	$0.905790\pi$
$48$	−25.3438			−0.527996
$49$	−45.1568	−	19.0228i	−0.921567	−	0.388220i
$50$	−14.0738	−	48.2181i	−0.281476	−	0.964362i
$51$	−14.0902	+	24.4049i	−0.276278	+	0.478528i
$52$	0.257223	+	0.445523i	0.00494659	+	0.00856774i
$53$	47.7045	−	27.5422i	0.900085	−	0.519664i	0.0228569	−	0.999739i	$-0.492724\pi$
$53$	47.7045	−	27.5422i	0.900085	−	0.519664i	0.877228	+	0.480075i	$0.159390\pi$
$54$	42.4327	+	24.4986i	0.785791	+	0.453677i
$55$	−6.77380	−	47.3837i	−0.123160	−	0.861523i
$56$	54.6349	+	11.0381i	0.975624	+	0.197109i
$57$			17.9706i			0.315274i
$58$	−46.4279	−	26.8051i	−0.800481	−	0.462158i
$59$	54.5751	−	31.5090i	0.925002	−	0.534050i	0.0397745	−	0.999209i	$-0.487336\pi$
$59$	54.5751	−	31.5090i	0.925002	−	0.534050i	0.885227	+	0.465159i	$0.154003\pi$
$60$	−0.227709	+	0.178776i	−0.00379515	+	0.00297960i
$61$	43.9307	+	25.3634i	0.720175	+	0.415793i	0.814817	−	0.579718i	$-0.196837\pi$
$61$	43.9307	+	25.3634i	0.720175	+	0.415793i	−0.0946419	+	0.995511i	$0.530171\pi$
$62$	4.34210			0.0700338
$63$	−34.3086	−	30.2704i	−0.544581	−	0.480483i
$64$	−63.3990			−0.990609
$65$	−64.7154	−	25.9686i	−0.995621	−	0.399517i
$66$	−26.1462	+	15.0955i	−0.396154	+	0.228720i
$67$	−33.7366	+	19.4779i	−0.503532	+	0.290714i	−0.730171	−	0.683265i	$-0.760560\pi$
$67$	−33.7366	+	19.4779i	−0.503532	+	0.290714i	0.226639	+	0.973979i	$0.427226\pi$
$68$	0.331128	−	0.573531i	0.00486953	−	0.00843428i
$69$			13.3385i			0.193312i
$70$	62.8161	−	31.6121i	0.897373	−	0.451602i
$71$	3.47954			0.0490076			0.0245038	−	0.999700i	$-0.492199\pi$
$71$	3.47954			0.0490076			0.0245038	+	0.999700i	$0.492199\pi$
$72$	45.0730	+	26.0229i	0.626013	+	0.361429i
$73$	−12.3283	−	21.3533i	−0.168881	−	0.292511i	0.769146	−	0.639074i	$-0.220682\pi$
$73$	−12.3283	−	21.3533i	−0.168881	−	0.292511i	−0.938027	+	0.346563i	$0.887349\pi$
$74$	−65.1541	−	112.850i	−0.880460	−	1.52500i
$75$	9.31288	−	38.1201i	0.124172	−	0.508268i
$76$		−	0.422321i		−	0.00555685i
$77$	63.5197	−	21.3497i	0.824931	−	0.277269i
$78$			43.9828i			0.563882i
$79$	−68.8832	+	119.309i	−0.871940	+	1.51024i	−0.0119524	+	0.999929i	$0.503805\pi$
$79$	−68.8832	+	119.309i	−0.871940	+	1.51024i	−0.859987	+	0.510315i	$0.829529\pi$
$80$	−63.4990	+	49.8534i	−0.793737	+	0.623168i
$81$	−10.2739	−	17.7950i	−0.126839	−	0.219691i
$82$	−23.4340	+	40.5889i	−0.285781	+	0.494987i
$83$	110.042			1.32581			0.662906	−	0.748703i	$-0.269323\pi$
$83$	110.042			1.32581			0.662906	+	0.748703i	$0.269323\pi$
$84$	−0.303921	−	0.268149i	−0.00361811	−	0.00319225i
$85$	12.7035	+	88.8631i	0.149453	+	1.04545i
$86$	0.508529	−	0.880798i	0.00591313	−	0.0102418i
$87$	−20.9410	−	36.2708i	−0.240701	−	0.416906i
$88$	−66.0150	+	38.1138i	−0.750171	+	0.433111i
$89$	84.0216	+	48.5099i	0.944063	+	0.545055i	0.891232	−	0.453549i	$-0.149842\pi$
$89$	84.0216	+	48.5099i	0.944063	+	0.545055i	0.0528312	+	0.998603i	$0.483175\pi$
$90$	65.0019	−	9.29243i	0.722244	−	0.103249i
$91$	19.3326	−	95.6904i	0.212447	−	1.05154i
$92$		−	0.313464i		−	0.00340722i
$93$	2.93771	+	1.69609i	0.0315883	+	0.0182375i
$94$	119.539	−	69.0161i	1.27170	−	0.734214i
$95$	35.3497	+	45.0254i	0.372102	+	0.473952i
$96$	0.802270	+	0.463191i	0.00835698	+	0.00482490i
$97$	−3.28023			−0.0338168			−0.0169084	−	0.999857i	$-0.505382\pi$
$97$	−3.28023			−0.0338168			−0.0169084	+	0.999857i	$0.505382\pi$
$98$	59.4633	+	78.4645i	0.606768	+	0.800659i
$99$	62.5717			0.632038
$100$	−0.218859	+	0.895846i	−0.00218859	+	0.00895846i
$101$	−108.707	+	62.7622i	−1.07631	+	0.621408i	−0.929899	−	0.367816i	$-0.880106\pi$
$101$	−108.707	+	62.7622i	−1.07631	+	0.621408i	−0.146412	+	0.989224i	$0.546772\pi$
$102$	49.0344	−	28.3100i	0.480729	−	0.277549i
$103$	8.47859	−	14.6853i	0.0823164	−	0.142576i	−0.821928	−	0.569591i	$-0.807102\pi$
$103$	8.47859	−	14.6853i	0.0823164	−	0.142576i	0.904245	+	0.427015i	$0.140435\pi$
$104$			111.050i			1.06779i
$105$	54.8473	+	3.14926i	0.522355	+	0.0299929i
$106$	−110.676			−1.04411
$107$	−111.108	−	64.1484i	−1.03840	−	0.599518i	−0.119017	−	0.992892i	$-0.537974\pi$
$107$	−111.108	−	64.1484i	−1.03840	−	0.599518i	−0.919378	+	0.393375i	$0.871308\pi$
$108$	−0.449779	−	0.779039i	−0.00416462	−	0.00721333i
$109$	−43.3446	−	75.0750i	−0.397657	−	0.688762i	0.595780	−	0.803148i	$-0.296843\pi$
$109$	−43.3446	−	75.0750i	−0.397657	−	0.688762i	−0.993436	+	0.114386i	$0.963510\pi$
$110$	−35.8152	+	89.2536i	−0.325593	+	0.811396i
$111$		−	101.801i		−	0.917122i
$112$	−84.7515	−	74.7761i	−0.756710	−	0.667644i
$113$		−	102.175i		−	0.904202i	−0.891967	−	0.452101i	$-0.850675\pi$
$113$		−	102.175i		−	0.904202i	0.891967	−	0.452101i	$-0.149325\pi$
$114$	18.0533	−	31.2692i	0.158362	−	0.274291i
$115$	26.2380	+	33.4197i	0.228157	+	0.290606i
$116$	0.492126	+	0.852388i	0.00424247	+	0.00734817i
$117$	45.5778	−	78.9431i	0.389554	−	0.674727i
$118$	−126.616			−1.07301
$119$	−119.124	+	40.0391i	−1.00104	+	0.336463i
$120$	−61.8641	+	8.84386i	−0.515534	+	0.0736989i
$121$	14.6779	−	25.4229i	0.121305	−	0.210107i
$122$	−50.9602	−	88.2656i	−0.417706	−	0.723488i
$123$	−31.7093	+	18.3074i	−0.257799	+	0.148840i
$124$	−0.0690381	−	0.0398591i	−0.000556758	−	0.000321445i
$125$	−51.6520	−	113.829i	−0.413216	−	0.910633i
$126$	29.2879	+	87.1375i	0.232444	+	0.691568i
$127$		−	88.5547i		−	0.697281i	−0.937256	−	0.348641i	$-0.886643\pi$
$127$		−	88.5547i		−	0.697281i	0.937256	−	0.348641i	$-0.113357\pi$
$128$	112.360	+	64.8710i	0.877811	+	0.506805i
$129$	0.688106	−	0.397278i	0.00533415	−	0.00307967i
$130$	86.5179	+	110.199i	0.665522	+	0.847685i
$131$	−27.8733	−	16.0927i	−0.212774	−	0.122845i	0.389826	−	0.920888i	$-0.372535\pi$
$131$	−27.8733	−	16.0927i	−0.212774	−	0.122845i	−0.602600	+	0.798044i	$0.705868\pi$
$132$	0.554289			0.00419916
$133$	−53.0217	+	60.0950i	−0.398659	+	0.451842i
$134$	78.2698			0.584103
$135$	113.161	+	45.4086i	0.838230	+	0.336360i
$136$	123.804	−	71.4783i	0.910324	−	0.525576i
$137$	−3.92636	+	2.26688i	−0.0286596	+	0.0165466i	−0.514261	−	0.857634i	$-0.671934\pi$
$137$	−3.92636	+	2.26688i	−0.0286596	+	0.0165466i	0.485602	+	0.874180i	$0.338601\pi$
$138$	13.3999	−	23.2093i	0.0971007	−	0.168183i
$139$			84.1243i			0.605211i	0.953116	+	0.302606i	$0.0978565\pi$
$139$			84.1243i			0.605211i	−0.953116	+	0.302606i	$0.902144\pi$
$140$	−1.28895	−	0.0740096i	−0.00920676	−	0.000528640i
$141$	107.835			0.764786
$142$	−6.05447	−	3.49555i	−0.0426371	−	0.0246165i
$143$	66.7544	+	115.622i	0.466814	+	0.808546i
$144$	−52.7674	−	91.3959i	−0.366440	−	0.634693i
$145$	−123.815	−	49.6840i	−0.853900	−	0.342648i
$146$			49.5401i			0.339316i
$147$	9.58136	+	76.3136i	0.0651793	+	0.519140i
$148$			2.39238i			0.0161647i
$149$	33.5195	−	58.0575i	0.224963	−	0.389648i	−0.731345	−	0.682008i	$-0.761107\pi$
$149$	33.5195	−	58.0575i	0.224963	−	0.389648i	0.956308	+	0.292360i	$0.0944404\pi$
$150$	−54.5000	+	56.9739i	−0.363334	+	0.379826i
$151$	138.895	+	240.573i	0.919834	+	1.59320i	0.799666	+	0.600445i	$0.205010\pi$
$151$	138.895	+	240.573i	0.919834	+	1.59320i	0.120168	+	0.992754i	$0.461657\pi$
$152$	45.5817	−	78.9498i	0.299880	−	0.519407i
$153$	−117.347			−0.766971
$154$	−131.973	−	26.6630i	−0.856970	−	0.173137i
$155$	10.6968	−	1.52917i	0.0690115	−	0.00986563i
$156$	0.403749	−	0.699313i	0.00258813	−	0.00448278i
$157$	117.857	+	204.134i	0.750679	+	1.30021i	0.947494	+	0.319773i	$0.103607\pi$
$157$	117.857	+	204.134i	0.750679	+	1.30021i	−0.196815	+	0.980441i	$0.563060\pi$
$158$	239.716	−	138.400i	1.51719	−	0.875951i
$159$	−74.8792	−	43.2315i	−0.470938	−	0.271896i
$160$	2.92122	−	0.417607i	0.0182576	−	0.00261005i
$161$	−39.3549	+	44.6050i	−0.244440	+	0.277050i
$162$			41.2848i			0.254844i
$163$	91.0392	+	52.5615i	0.558523	+	0.322463i	0.752552	−	0.658532i	$-0.228822\pi$
$163$	91.0392	+	52.5615i	0.558523	+	0.322463i	−0.194030	+	0.980996i	$0.562156\pi$
$164$	0.745188	−	0.430234i	0.00454383	−	0.00262338i
$165$	−59.0951	+	46.3959i	−0.358152	+	0.281187i
$166$	−191.476	−	110.549i	−1.15347	−	0.665956i
$167$	−31.9767			−0.191477			−0.0957386	−	0.995407i	$-0.530521\pi$
$167$	−31.9767			−0.191477			−0.0957386	+	0.995407i	$0.530521\pi$
$168$	−27.8741	−	82.9312i	−0.165917	−	0.493638i
$169$	25.4980			0.150875
$170$	67.1675	−	167.385i	0.395103	−	0.984620i
$171$	−64.8063	+	37.4160i	−0.378984	+	0.218807i
$172$	−0.0161709	+	0.00933628i	−9.40170e−5	+	5.42807e-5i
$173$	−105.801	+	183.254i	−0.611569	+	1.05927i	0.379407	+	0.925230i	$0.376128\pi$
$173$	−105.801	+	183.254i	−0.611569	+	1.05927i	−0.990976	+	0.134039i	$0.957205\pi$
$174$			84.1493i			0.483616i
$175$	143.615	−	99.9988i	0.820657	−	0.571422i
$176$	154.569			0.878233
$177$	−85.6637	−	49.4579i	−0.483976	−	0.279423i
$178$	−97.4661	−	168.816i	−0.547562	−	0.948406i
$179$	0.746283	+	1.29260i	0.00416918	+	0.00722123i	0.868102	−	0.496385i	$-0.165340\pi$
$179$	0.746283	+	1.29260i	0.00416918	+	0.00722123i	−0.863933	+	0.503606i	$0.832006\pi$
$180$	−1.11881	−	0.448951i	−0.00621563	−	0.00249417i
$181$			67.8351i			0.374780i	0.982286	+	0.187390i	$0.0600027\pi$
$181$			67.8351i			0.374780i	−0.982286	+	0.187390i	$0.939997\pi$
$182$	−129.770	+	147.081i	−0.713021	+	0.808140i
$183$		−	79.6232i		−	0.435099i
$184$	33.8326	−	58.5999i	0.183873	−	0.318477i
$185$	−200.250	−	255.062i	−1.08243	−	1.37871i
$186$	−3.40778	−	5.90245i	−0.0183214	−	0.0317336i
$187$	85.9343	−	148.843i	0.459542	−	0.795950i
$188$	−2.53419			−0.0134797
$189$	−33.8050	+	167.324i	−0.178862	+	0.885311i
$190$	−16.2766	−	113.857i	−0.0856665	−	0.599250i
$191$	110.030	−	190.578i	0.576074	−	0.997789i	−0.419850	−	0.907593i	$-0.637917\pi$
$191$	110.030	−	190.578i	0.576074	−	0.997789i	0.995924	−	0.0901956i	$-0.0287492\pi$
$192$	49.7570	+	86.1817i	0.259151	+	0.448863i
$193$	−200.514	+	115.767i	−1.03893	+	0.599829i	−0.919531	−	0.393017i	$-0.871431\pi$
$193$	−200.514	+	115.767i	−1.03893	+	0.599829i	−0.119403	+	0.992846i	$0.538098\pi$
$194$	5.70767	+	3.29532i	0.0294210	+	0.0169862i
$195$	15.4896	+	108.352i	0.0794338	+	0.555651i
$196$	−0.225168	−	1.79342i	−0.00114882	−	0.00915009i
$197$			223.021i			1.13209i	0.824376	+	0.566043i	$0.191526\pi$
$197$			223.021i			1.13209i	−0.824376	+	0.566043i	$0.808474\pi$
$198$	−108.876	−	62.8596i	−0.549879	−	0.317473i
$199$	274.861	−	158.691i	1.38121	−	0.797442i	0.388907	−	0.921277i	$-0.372853\pi$
$199$	274.861	−	158.691i	1.38121	−	0.797442i	0.992303	+	0.123835i	$0.0395192\pi$
$200$	−137.604	+	143.850i	−0.688020	+	0.719251i
$201$	52.9546	+	30.5734i	0.263456	+	0.152106i
$202$	252.204			1.24853
$203$	36.9878	−	183.078i	0.182206	−	0.901861i
$204$	−1.03951			−0.00509563
$205$	−43.4355	+	108.244i	−0.211881	+	0.528019i
$206$	−29.5058	+	17.0352i	−0.143232	+	0.0826951i
$207$	−48.1020	+	27.7717i	−0.232377	+	0.134163i
$208$	112.589	−	195.011i	0.541295	−	0.937551i
$209$		−	109.601i		−	0.524405i
$210$	−92.2716	−	60.5794i	−0.439389	−	0.288473i
$211$	−285.102			−1.35119			−0.675597	−	0.737271i	$-0.736114\pi$
$211$	−285.102			−1.35119			−0.675597	+	0.737271i	$0.736114\pi$
$212$	1.75971	+	1.01597i	0.00830051	+	0.00479230i
$213$	−2.73083	−	4.72993i	−0.0128208	−	0.0222062i
$214$	128.887	+	223.239i	0.602276	+	1.04317i
$215$	0.942571	−	2.34894i	0.00438405	−	0.0109253i
$216$		−	194.181i		−	0.898986i
$217$	4.81965	+	14.3394i	0.0222104	+	0.0660804i
$218$			174.176i			0.798972i
$219$	−19.3511	+	33.5171i	−0.0883612	+	0.153046i
$220$	1.38877	−	1.09033i	0.00631260	−	0.00495606i
$221$	−125.191	−	216.837i	−0.566474	−	0.981161i
$222$	−102.269	+	177.135i	−0.460671	+	0.797905i
$223$	170.216			0.763302			0.381651	−	0.924306i	$-0.375356\pi$
$223$	170.216			0.763302			0.381651	+	0.924306i	$0.375356\pi$
$224$	1.31622	+	3.91601i	0.00587597	+	0.0174822i
$225$	156.860	−	45.7839i	0.697156	−	0.203484i
$226$	−102.645	+	177.786i	−0.454181	+	0.786664i
$227$	57.9243	+	100.328i	0.255173	+	0.441973i	0.964942	−	0.262461i	$-0.0845343\pi$
$227$	57.9243	+	100.328i	0.255173	+	0.441973i	−0.709770	+	0.704434i	$0.751201\pi$
$228$	−0.574084	+	0.331447i	−0.00251791	+	0.00145372i
$229$	4.58879	+	2.64934i	0.0200384	+	0.0115692i	0.509986	−	0.860183i	$-0.329651\pi$
$229$	4.58879	+	2.64934i	0.0200384	+	0.0115692i	−0.489947	+	0.871752i	$0.662984\pi$
$230$	−12.0812	−	84.5097i	−0.0525269	−	0.367433i
$231$	−78.8736	−	69.5900i	−0.341444	−	0.301256i
$232$			212.464i			0.915791i
$233$	−64.0256	−	36.9652i	−0.274788	−	0.158649i	0.356274	−	0.934382i	$-0.384047\pi$
$233$	−64.0256	−	36.9652i	−0.274788	−	0.158649i	−0.631061	+	0.775733i	$0.717380\pi$
$234$	−158.612	+	91.5749i	−0.677831	+	0.391346i
$235$	270.180	−	212.120i	1.14970	−	0.902639i
$236$	2.01315	+	1.16229i	0.00853030	+	0.00492497i
$237$	216.245			0.912425
$238$	247.502	+	50.0036i	1.03992	+	0.210099i
$239$	−173.685			−0.726714			−0.363357	−	0.931650i	$-0.618369\pi$
$239$	−173.685			−0.726714			−0.363357	+	0.931650i	$0.618369\pi$
$240$	117.604	+	47.1915i	0.490017	+	0.196631i
$241$	−19.0515	+	10.9994i	−0.0790519	+	0.0456407i	−0.539005	−	0.842303i	$-0.681200\pi$
$241$	−19.0515	+	10.9994i	−0.0790519	+	0.0456407i	0.459953	+	0.887943i	$0.347866\pi$
$242$	−51.0797	+	29.4909i	−0.211073	+	0.121863i
$243$	−125.865	+	218.005i	−0.517963	+	0.897139i
$244$			1.87120i			0.00766883i
$245$	174.121	+	172.356i	0.710699	+	0.703496i
$246$	73.5663			0.299050
$247$	−138.277	−	79.8341i	−0.559825	−	0.323215i
$248$	−8.60411	−	14.9028i	−0.0346940	−	0.0600918i
$249$	−86.3639	−	149.587i	−0.346843	−	0.600749i
$250$	−24.4774	+	249.954i	−0.0979095	+	0.999818i
$251$			284.081i			1.13180i	0.824475	+	0.565899i	$0.191471\pi$
$251$			284.081i			1.13180i	−0.824475	+	0.565899i	$0.808529\pi$
$252$	0.334227	−	1.65432i	0.00132630	−	0.00656474i
$253$		−	81.3502i		−	0.321542i
$254$	−88.9621	+	154.087i	−0.350245	+	0.606641i
$255$	110.826	−	87.0105i	0.434613	−	0.341218i
$256$	−3.54092	−	6.13305i	−0.0138317	−	0.0239572i
$257$	135.300	−	234.347i	0.526459	−	0.911854i	−0.473065	−	0.881027i	$-0.656853\pi$
$257$	135.300	−	234.347i	0.526459	−	0.911854i	0.999525	−	0.0308270i	$-0.00981408\pi$
$258$	−1.59642			−0.00618768
$259$	300.359	−	340.428i	1.15969	−	1.31439i
$260$	−0.364015	−	2.54634i	−0.00140006	−	0.00979361i
$261$	87.2008	−	151.036i	0.334103	−	0.578683i
$262$	32.3334	+	56.0032i	0.123410	+	0.213752i
$263$	−87.6242	+	50.5898i	−0.333172	+	0.192357i	−0.657248	−	0.753674i	$-0.728280\pi$
$263$	−87.6242	+	50.5898i	−0.333172	+	0.192357i	0.324077	+	0.946031i	$0.394946\pi$
$264$	103.620	+	59.8252i	0.392501	+	0.226611i
$265$	−272.650	+	38.9770i	−1.02887	+	0.147083i
$266$	152.630	−	51.3008i	0.573798	−	0.192860i
$267$		−	152.287i		−	0.570363i
$268$	−1.24447	−	0.718493i	−0.00464353	−	0.00268095i
$269$	−212.116	+	122.465i	−0.788535	+	0.455261i	−0.839447	−	0.543442i	$-0.817121\pi$
$269$	−212.116	+	122.465i	−0.788535	+	0.455261i	0.0509113	+	0.998703i	$0.483787\pi$
$270$	−151.285	−	192.694i	−0.560314	−	0.713680i
$271$	290.437	+	167.684i	1.07172	+	0.618759i	0.928651	−	0.370954i	$-0.120969\pi$
$271$	290.437	+	167.684i	1.07172	+	0.618759i	0.143070	+	0.989713i	$0.454303\pi$
$272$	−289.877			−1.06573
$273$	−145.250	+	48.8202i	−0.532051	+	0.178828i
$274$	9.10925			0.0332454
$275$	−56.7982	+	232.490i	−0.206539	+	0.845418i
$276$	−0.426109	+	0.246014i	−0.00154387	+	0.000891355i
$277$	267.951	−	154.701i	0.967330	−	0.558488i	0.0689091	−	0.997623i	$-0.478048\pi$
$277$	267.951	−	154.701i	0.967330	−	0.558488i	0.898421	+	0.439134i	$0.144715\pi$
$278$	84.5113	−	146.378i	0.303998	−	0.526539i
$279$			14.1254i			0.0506288i
$280$	−232.971	−	152.953i	−0.832040	−	0.546262i
$281$	88.5772			0.315221			0.157611	−	0.987501i	$-0.449621\pi$
$281$	88.5772			0.315221			0.157611	+	0.987501i	$0.449621\pi$
$282$	−187.635	−	108.331i	−0.665371	−	0.384152i
$283$	−86.8005	−	150.343i	−0.306716	−	0.531247i	0.670926	−	0.741524i	$-0.265897\pi$
$283$	−86.8005	−	150.343i	−0.306716	−	0.531247i	−0.977642	+	0.210277i	$0.932563\pi$
$284$	0.0641761	+	0.111156i	0.000225972	+	0.000391395i
$285$	33.4622	−	83.3898i	0.117411	−	0.292596i
$286$		−	268.246i		−	0.937923i
$287$	−160.053	−	32.3361i	−0.557676	−	0.112669i
$288$			3.85757i			0.0133943i
$289$	−16.6606	+	28.8570i	−0.0576491	+	0.0998511i
$290$	165.529	+	210.836i	0.570788	+	0.727021i
$291$	2.57441	+	4.45900i	0.00884675	+	0.0153230i
$292$	0.454763	−	0.787673i	0.00155741	−	0.00269751i
$293$	64.7124			0.220861			0.110431	−	0.993884i	$-0.464777\pi$
$293$	64.7124			0.220861			0.110431	+	0.993884i	$0.464777\pi$
$294$	59.9929	−	142.413i	0.204058	−	0.484396i
$295$	−311.918	+	44.5907i	−1.05735	+	0.151155i
$296$	−258.213	+	447.238i	−0.872341	+	1.51094i
$297$	−116.726	−	202.176i	−0.393019	−	0.680728i
$298$	−116.649	+	67.3475i	−0.391440	+	0.225998i
$299$	−102.635	−	59.2562i	−0.343260	−	0.198181i
$300$	1.38954	−	0.405575i	0.00463179	−	0.00135192i
$301$	3.47323	+	0.701708i	0.0115390	+	0.00233125i
$302$		−	558.135i		−	1.84813i
$303$	170.632	+	98.5145i	0.563143	+	0.325131i
$304$	−160.089	+	92.4275i	−0.526609	+	0.304038i
$305$	−156.625	−	199.496i	−0.513526	−	0.654085i
$306$	204.185	+	117.886i	0.667272	+	0.385250i
$307$	−540.515			−1.76064			−0.880318	−	0.474385i	$-0.842671\pi$
$307$	−540.515			−1.76064			−0.880318	+	0.474385i	$0.842671\pi$
$308$	1.85358	+	1.63541i	0.00601811	+	0.00530977i
$309$	−26.6168			−0.0861385
$310$	−20.1488	−	8.08520i	−0.0649962	−	0.0260813i
$311$	58.5588	−	33.8090i	0.188292	−	0.108710i	−0.402891	−	0.915248i	$-0.631995\pi$
$311$	58.5588	−	33.8090i	0.188292	−	0.108710i	0.591183	+	0.806538i	$0.298661\pi$
$312$	150.956	−	87.1544i	0.483833	−	0.279341i
$313$	−110.657	+	191.663i	−0.353536	+	0.612342i	−0.986866	−	0.161539i	$-0.948354\pi$
$313$	−110.657	+	191.663i	−0.353536	+	0.612342i	0.633330	+	0.773882i	$0.281687\pi$
$314$		−	473.595i		−	1.50826i
$315$	102.839	+	204.349i	0.326472	+	0.648728i
$316$	−5.08189			−0.0160819
$317$	392.890	+	226.835i	1.23940	+	0.715568i	0.968972	−	0.247172i	$-0.0795014\pi$
$317$	392.890	+	226.835i	1.23940	+	0.715568i	0.270428	+	0.962740i	$0.412835\pi$
$318$	86.8608	+	150.447i	0.273147	+	0.473105i
$319$	127.717	+	221.212i	0.400365	+	0.693453i
$320$	294.193	+	118.052i	0.919353	+	0.368913i
$321$			201.381i			0.627354i
$322$	113.288	−	38.0776i	0.351828	−	0.118253i
$323$			205.544i			0.636360i
$324$	0.378982	−	0.656416i	0.00116970	−	0.00202598i
$325$	251.947	+	241.007i	0.775220	+	0.741559i
$326$	−105.607	−	182.916i	−0.323947	−	0.561092i
$327$	−68.0357	+	117.841i	−0.208060	+	0.360371i
$328$	185.743			0.566291
$329$	360.607	+	318.163i	1.09607	+	0.967060i
$330$	149.436	−	21.3628i	0.452836	−	0.0647357i
$331$	12.2236	−	21.1720i	0.0369294	−	0.0639636i	−0.846970	−	0.531641i	$-0.821576\pi$
$331$	12.2236	−	21.1720i	0.0369294	−	0.0639636i	0.883899	+	0.467677i	$0.154909\pi$
$332$	2.02961	+	3.51538i	0.00611327	+	0.0105885i
$333$	367.117	−	211.955i	1.10245	−	0.636502i
$334$	55.6400	+	32.1238i	0.166587	+	0.0961790i
$335$	192.818	−	27.5646i	0.575577	−	0.0822823i
$336$	−35.1322	+	173.893i	−0.104560	+	0.517540i
$337$		−	135.815i		−	0.403010i	−0.979487	−	0.201505i	$-0.935417\pi$
$337$		−	135.815i		−	0.403010i	0.979487	−	0.201505i	$-0.0645833\pi$
$338$	−44.3669	−	25.6153i	−0.131263	−	0.0757848i
$339$	−138.892	+	80.1892i	−0.409710	+	0.236546i
$340$	−2.60449	+	2.04480i	−0.00766027	+	0.00601412i
$341$	−17.9167	−	10.3442i	−0.0525418	−	0.0303350i
$342$	150.352			0.439627
$343$	−193.120	+	283.467i	−0.563032	+	0.826435i
$344$	−4.03072			−0.0117172
$345$	24.8370	−	61.8954i	0.0719914	−	0.179407i
$346$	368.193	−	212.576i	1.06414	−	0.614383i
$347$	−234.838	+	135.584i	−0.676767	+	0.390731i	−0.798636	−	0.601815i	$-0.794445\pi$
$347$	−234.838	+	135.584i	−0.676767	+	0.390731i	0.121869	+	0.992546i	$0.461111\pi$
$348$	0.772465	−	1.33795i	0.00221973	−	0.00384468i
$349$		−	164.935i		−	0.472595i	−0.971681	−	0.236297i	$-0.924066\pi$
$349$		−	164.935i		−	0.472595i	0.971681	−	0.236297i	$-0.0759339\pi$
$350$	−350.351	+	29.7242i	−1.00100	+	0.0849264i
$351$	−340.098			−0.968941
$352$	−4.89295	−	2.82495i	−0.0139004	−	0.00802542i
$353$	50.3135	+	87.1456i	0.142531	+	0.246871i	0.928449	−	0.371459i	$-0.121143\pi$
$353$	50.3135	+	87.1456i	0.142531	+	0.246871i	−0.785918	+	0.618331i	$0.787809\pi$
$354$	99.3709	+	172.116i	0.280709	+	0.486202i
$355$	−16.1463	−	6.47908i	−0.0454824	−	0.0182509i
$356$			3.57884i			0.0100529i
$357$	147.919	+	130.509i	0.414339	+	0.365570i
$358$		−	2.99887i		−	0.00837672i
$359$	62.9543	−	109.040i	0.175360	−	0.303733i	−0.764926	−	0.644119i	$-0.777224\pi$
$359$	62.9543	−	109.040i	0.175360	−	0.303733i	0.940286	+	0.340386i	$0.110558\pi$
$360$	−160.698	−	204.683i	−0.446383	−	0.568565i
$361$	−114.962	−	199.120i	−0.318455	−	0.551580i
$362$	68.1472	−	118.034i	0.188252	−	0.326062i
$363$	−46.0783			−0.126938
$364$	3.41346	−	1.14730i	0.00937765	−	0.00315194i
$365$	17.4467	+	122.042i	0.0477993	+	0.334363i
$366$	−79.9895	+	138.546i	−0.218550	+	0.378541i
$367$	−249.172	−	431.578i	−0.678942	−	1.17596i	−0.975300	−	0.220885i	$-0.929106\pi$
$367$	−249.172	−	431.578i	−0.678942	−	1.17596i	0.296358	−	0.955077i	$-0.404228\pi$
$368$	−118.825	+	68.6035i	−0.322893	+	0.186423i
$369$	−132.041	−	76.2341i	−0.357836	−	0.206596i
$370$	92.2044	+	644.983i	0.249201	+	1.74320i
$371$	−122.848	−	365.498i	−0.331127	−	0.985169i
$372$			0.125130i			0.000336370i
$373$	−219.874	−	126.944i	−0.589473	−	0.340333i	0.175416	−	0.984494i	$-0.443873\pi$
$373$	−219.874	−	126.944i	−0.589473	−	0.340333i	−0.764889	+	0.644162i	$0.777206\pi$
$374$	−299.055	+	172.659i	−0.799612	+	0.461656i
$375$	−114.196	+	159.549i	−0.304524	+	0.425464i
$376$	−473.748	−	273.518i	−1.25997	−	0.727443i
$377$	372.119			0.987054
$378$	226.915	−	257.186i	0.600304	−	0.680387i
$379$	−132.243			−0.348926			−0.174463	−	0.984664i	$-0.555819\pi$
$379$	−132.243			−0.348926			−0.174463	+	0.984664i	$0.555819\pi$
$380$	−0.786383	+	1.95971i	−0.00206943	+	0.00515714i
$381$	−120.377	+	69.4998i	−0.315951	+	0.182414i
$382$	−382.909	+	221.073i	−1.00238	+	0.578724i
$383$	225.067	−	389.827i	0.587642	−	1.01783i	−0.406899	−	0.913473i	$-0.633390\pi$
$383$	225.067	−	389.827i	0.587642	−	1.01783i	0.994540	−	0.104352i	$-0.0332768\pi$
$384$		−	203.649i		−	0.530336i
$385$	−334.507	−	19.2070i	−0.868850	−	0.0498882i
$386$	465.198			1.20518
$387$	2.86536	+	1.65432i	0.00740403	+	0.00427472i
$388$	−0.0605002	−	0.104789i	−0.000155928	−	0.000270076i
$389$	162.154	+	280.859i	0.416849	+	0.722004i	0.995621	−	0.0934859i	$-0.0298010\pi$
$389$	162.154	+	280.859i	0.416849	+	0.722004i	−0.578771	+	0.815490i	$0.696468\pi$
$390$	81.8982	−	204.095i	0.209995	−	0.523321i
$391$			152.563i			0.390188i
$392$	151.473	−	359.569i	0.386410	−	0.917268i
$393$			50.5197i			0.128549i
$394$	224.047	−	388.061i	0.568647	−	0.984925i
$395$	541.802	−	425.372i	1.37165	−	1.07689i
$396$	1.15406	+	1.99890i	0.00291430	+	0.00504772i
$397$	−287.389	+	497.772i	−0.723902	+	1.25383i	0.235522	+	0.971869i	$0.424320\pi$
$397$	−287.389	+	497.772i	−0.723902	+	1.25383i	−0.959424	+	0.281966i	$0.909013\pi$
$398$	−637.684			−1.60222
$399$	123.303	+	24.9113i	0.309030	+	0.0624344i
$400$	387.487	−	113.099i	0.968716	−	0.282747i
$401$	262.640	−	454.906i	0.654963	−	1.13443i	−0.326940	−	0.945045i	$-0.606017\pi$
$401$	262.640	−	454.906i	0.654963	−	1.13443i	0.981903	−	0.189384i	$-0.0606492\pi$
$402$	−61.4280	−	106.396i	−0.152806	−	0.264668i
$403$	−26.1014	+	15.0697i	−0.0647678	+	0.0373937i
$404$	−4.00997	−	2.31515i	−0.00992566	−	0.00573058i
$405$	14.5394	+	101.705i	0.0358998	+	0.251124i
$406$	−248.279	+	281.401i	−0.611526	+	0.693105i
$407$			620.870i			1.52548i
$408$	−194.329	−	112.196i	−0.476296	−	0.274989i
$409$	−368.098	+	212.522i	−0.899995	+	0.519613i	−0.877199	−	0.480127i	$-0.840590\pi$
$409$	−368.098	+	212.522i	−0.899995	+	0.519613i	−0.0227968	+	0.999740i	$0.507257\pi$
$410$	184.320	−	144.711i	0.449562	−	0.352954i
$411$	6.16300	+	3.55821i	0.0149951	+	0.00865744i
$412$	0.625511			0.00151823
$413$	−140.541	−	418.138i	−0.340293	−	1.01244i
$414$	111.598			0.269560
$415$	−510.634	−	204.904i	−1.23044	−	0.493746i
$416$	−7.12814	+	4.11543i	−0.0171349	+	0.00989286i
$417$	114.355	−	66.0228i	0.274232	−	0.158328i
$418$	−110.105	+	190.707i	−0.263409	+	0.456238i
$419$			134.022i			0.319861i	0.987128	+	0.159930i	$0.0511270\pi$
$419$			134.022i			0.319861i	−0.987128	+	0.159930i	$0.948873\pi$
$420$	0.910991	+	1.81022i	0.00216903	+	0.00431005i
$421$	41.0706			0.0975548			0.0487774	−	0.998810i	$-0.484468\pi$
$421$	41.0706			0.0975548			0.0487774	+	0.998810i	$0.484468\pi$
$422$	496.083	+	286.414i	1.17555	+	0.678705i
$423$	224.519	+	388.878i	0.530777	+	0.919333i
$424$	219.310	+	379.856i	0.517240	+	0.895887i
$425$	106.519	−	436.010i	0.250632	−	1.02591i
$426$			10.9736i			0.0257595i
$427$	234.925	−	266.265i	0.550177	−	0.623572i
$428$		−	4.73257i		−	0.0110574i
$429$	104.781	−	181.486i	0.244244	−	0.423044i
$430$	−3.99984	+	3.14030i	−0.00930195	+	0.00730302i
$431$	140.380	+	243.145i	0.325708	+	0.564142i	0.981655	−	0.190664i	$-0.0610641\pi$
$431$	140.380	+	243.145i	0.325708	+	0.564142i	−0.655948	+	0.754806i	$0.727731\pi$
$432$	−196.873	+	340.995i	−0.455726	+	0.789340i
$433$	671.507			1.55082			0.775412	−	0.631456i	$-0.217542\pi$
$433$	671.507			1.55082			0.775412	+	0.631456i	$0.217542\pi$
$434$	6.01912	−	29.7927i	0.0138689	−	0.0686468i
$435$	29.6352	+	207.302i	0.0681268	+	0.476557i
$436$	1.59888	−	2.76934i	0.00366716	−	0.00635171i
$437$	48.6449	+	84.2554i	0.111316	+	0.192804i
$438$	67.3426	−	38.8803i	0.153750	−	0.0887677i
$439$	−560.999	−	323.893i	−1.27790	−	0.737797i	−0.301439	−	0.953485i	$-0.597467\pi$
$439$	−560.999	−	323.893i	−1.27790	−	0.737797i	−0.976462	+	0.215688i	$0.930800\pi$
$440$	377.302	−	53.9377i	0.857505	−	0.122586i
$441$	−255.256	+	193.442i	−0.578812	+	0.438645i
$442$			503.066i			1.13816i
$443$	−152.032	−	87.7754i	−0.343186	−	0.198139i	0.318494	−	0.947925i	$-0.396823\pi$
$443$	−152.032	−	87.7754i	−0.343186	−	0.198139i	−0.661680	+	0.749786i	$0.730156\pi$
$444$	3.25209	−	1.87759i	0.00732453	−	0.00422882i
$445$	−299.561	−	381.555i	−0.673171	−	0.857427i
$446$	−296.180	−	170.999i	−0.664080	−	0.383407i
$447$	−105.228			−0.235409
$448$	−87.8852	+	435.004i	−0.196172	+	0.970990i
$449$	−10.6253			−0.0236644			−0.0118322	−	0.999930i	$-0.503766\pi$
$449$	−10.6253			−0.0236644			−0.0118322	+	0.999930i	$0.503766\pi$
$450$	−318.934	−	77.9168i	−0.708742	−	0.173148i
$451$	193.391	−	111.654i	0.428805	−	0.247571i
$452$	3.26404	−	1.88450i	0.00722134	−	0.00416924i
$453$	218.016	−	377.615i	0.481272	−	0.833587i
$454$		−	232.763i		−	0.512694i
$455$	−267.890	+	408.038i	−0.588770	+	0.896786i
$456$	−143.094			−0.313804
$457$	288.743	+	166.706i	0.631823	+	0.364783i	0.781458	−	0.623958i	$-0.214476\pi$
$457$	288.743	+	166.706i	0.631823	+	0.364783i	−0.149635	+	0.988741i	$0.547810\pi$
$458$	−5.32306	−	9.21981i	−0.0116224	−	0.0201306i
$459$	218.908	+	379.160i	0.476924	+	0.826056i
$460$	−0.583686	+	1.45458i	−0.00126888	+	0.00316213i
$461$			471.684i			1.02318i	0.859231	+	0.511588i	$0.170943\pi$
$461$			471.684i			1.02318i	−0.859231	+	0.511588i	$0.829057\pi$
$462$	67.3314	+	200.324i	0.145739	+	0.433603i
$463$		−	591.077i		−	1.27662i	−0.769778	−	0.638312i	$-0.779633\pi$
$463$		−	591.077i		−	1.27662i	0.769778	−	0.638312i	$-0.220367\pi$
$464$	215.410	−	373.100i	0.464245	−	0.804095i
$465$	−10.4738	−	13.3406i	−0.0225243	−	0.0286894i
$466$	74.2705	+	128.640i	0.159379	+	0.276052i
$467$	−243.205	+	421.244i	−0.520782	+	0.902021i	0.478926	+	0.877855i	$0.341026\pi$
$467$	−243.205	+	421.244i	−0.520782	+	0.902021i	−0.999708	+	0.0241656i	$0.992307\pi$
$468$	3.36252			0.00718487
$469$	86.8782	+	258.480i	0.185241	+	0.551130i
$470$	−683.215	+	97.6698i	−1.45365	+	0.207808i
$471$	184.993	−	320.418i	0.392767	−	0.680292i
$472$	250.896	+	434.565i	0.531559	+	0.920688i
$473$	−4.19668	+	2.42295i	−0.00887246	+	0.00512252i
$474$	−376.270	−	217.240i	−0.793819	−	0.458311i
$475$	−80.1952	−	274.756i	−0.168832	−	0.578434i
$476$	−3.47619	−	3.06703i	−0.00730292	−	0.00644335i
$477$		−	360.043i		−	0.754807i
$478$	302.214	+	174.484i	0.632248	+	0.365028i
$479$	234.724	−	135.518i	0.490030	−	0.282919i	−0.234557	−	0.972102i	$-0.575364\pi$
$479$	234.724	−	135.518i	0.490030	−	0.282919i	0.724587	+	0.689184i	$0.242031\pi$
$480$	−2.86032	−	3.64323i	−0.00595900	−	0.00759006i
$481$	783.315	+	452.247i	1.62851	+	0.940222i
$482$	44.2000			0.0917012
$483$	91.5206	+	18.4902i	0.189484	+	0.0382820i
$484$	1.08287			0.00223733
$485$	15.2214	+	6.10796i	0.0313843	+	0.0125937i
$486$	438.015	−	252.888i	0.901266	−	0.520346i
$487$	187.961	−	108.519i	0.385956	−	0.222832i	−0.294450	−	0.955667i	$-0.595137\pi$
$487$	187.961	−	108.519i	0.385956	−	0.222832i	0.680407	+	0.732835i	$0.261803\pi$
$488$	−201.961	+	349.806i	−0.413854	+	0.716816i
$489$		−	165.006i		−	0.337436i
$490$	−129.825	−	474.826i	−0.264949	−	0.969032i
$491$	159.467			0.324780			0.162390	−	0.986727i	$-0.448080\pi$
$491$	159.467			0.324780			0.162390	+	0.986727i	$0.448080\pi$
$492$	−1.16968	−	0.675316i	−0.00237740	−	0.00137259i
$493$	−239.519	−	414.858i	−0.485839	−	0.841498i
$494$	160.403	+	277.826i	0.324702	+	0.562400i
$495$	−290.354	−	116.512i	−0.586574	−	0.235377i
$496$			34.8936i			0.0703501i
$497$	4.82343	−	23.8744i	0.00970508	−	0.0480370i
$498$			347.045i			0.696877i
$499$	−234.928	+	406.908i	−0.470798	+	0.815447i	−0.999442	−	0.0333970i	$-0.989367\pi$
$499$	−234.928	+	406.908i	−0.470798	+	0.815447i	0.528644	+	0.848844i	$0.322701\pi$
$500$	2.68369	−	3.74951i	0.00536738	−	0.00749901i
$501$	25.0961	+	43.4677i	0.0500919	+	0.0867618i
$502$	285.388	−	494.307i	0.568502	−	0.984674i
$503$	−725.189			−1.44173			−0.720864	−	0.693077i	$-0.756255\pi$
$503$	−725.189			−1.44173			−0.720864	+	0.693077i	$0.756255\pi$
$504$	241.034	−	273.189i	0.478242	−	0.542041i
$505$	621.306	−	88.8196i	1.23031	−	0.175880i
$506$	−81.7244	+	141.551i	−0.161511	+	0.279745i
$507$	−20.0114	−	34.6608i	−0.0394702	−	0.0683644i
$508$	2.82894	−	1.63329i	0.00556878	−	0.00321514i
$509$	30.1941	+	17.4326i	0.0593205	+	0.0342487i	0.529367	−	0.848393i	$-0.322430\pi$
$509$	30.1941	+	17.4326i	0.0593205	+	0.0342487i	−0.470046	+	0.882642i	$0.655763\pi$
$510$	−280.251	+	40.0636i	−0.549511	+	0.0785561i
$511$	−163.603	+	54.9887i	−0.320161	+	0.107610i
$512$		−	504.739i		−	0.985819i
$513$	241.790	+	139.598i	0.471326	+	0.272120i
$514$	−470.849	+	271.845i	−0.916049	+	0.528881i
$515$	−66.6884	+	52.3575i	−0.129492	+	0.101665i
$516$	0.0253826	+	0.0146547i	4.91912e−5	+	2.84005e-5i
$517$	−657.672			−1.27209
$518$	−864.625	+	290.610i	−1.66916	+	0.561024i
$519$	332.142			0.639965
$520$	206.780	−	515.308i	0.397654	−	0.990978i
$521$	−711.157	+	410.587i	−1.36498	+	0.788074i	−0.990282	−	0.139071i	$-0.955588\pi$
$521$	−711.157	+	410.587i	−1.36498	+	0.788074i	−0.374702	+	0.927145i	$0.622255\pi$
$522$	−303.462	+	175.204i	−0.581345	+	0.335640i
$523$	341.529	−	591.546i	0.653019	−	1.13106i	−0.329367	−	0.944202i	$-0.606835\pi$
$523$	341.529	−	591.546i	0.653019	−	1.13106i	0.982386	−	0.186861i	$-0.0598313\pi$
$524$		−	1.18724i		−	0.00226573i
$525$	−248.646	−	116.742i	−0.473612	−	0.222366i
$526$	203.290			0.386483
$527$	33.6009	+	19.3995i	0.0637589	+	0.0368112i
$528$	−121.309	−	210.114i	−0.229753	−	0.397943i
$529$	−228.394	−	395.590i	−0.431746	−	0.747806i
$530$	513.573	+	206.084i	0.969005	+	0.388837i
$531$		−	411.898i		−	0.775703i
$532$	−2.89770	−	0.585432i	−0.00544680	−	0.00110044i
$533$		−	325.320i		−	0.610357i
$534$	−152.987	+	264.982i	−0.286493	+	0.496221i
$535$	396.133	+	504.560i	0.740435	+	0.943102i
$536$	−155.096	−	268.634i	−0.289358	−	0.501183i
$537$	1.17140	−	2.02893i	0.00218138	−	0.00377826i
$538$	492.115			0.914711
$539$	−58.4356	−	465.428i	−0.108415	−	0.863502i
$540$	0.636516	+	4.45252i	0.00117873	+	0.00824541i
$541$	−14.6029	+	25.2930i	−0.0269924	+	0.0467523i	−0.879206	−	0.476442i	$-0.841926\pi$
$541$	−14.6029	+	25.2930i	−0.0269924	+	0.0467523i	0.852214	+	0.523194i	$0.175260\pi$
$542$	−336.910	−	583.545i	−0.621605	−	1.07665i
$543$	92.2119	−	53.2386i	0.169819	−	0.0980453i
$544$	9.17620	+	5.29788i	0.0168680	+	0.00973875i
$545$	61.3402	+	429.083i	0.112551	+	0.787309i
$546$	301.782	+	60.9701i	0.552715	+	0.111667i
$547$		−	281.431i		−	0.514499i	−0.966345	−	0.257250i	$-0.917184\pi$
$547$		−	281.431i		−	0.514499i	0.966345	−	0.257250i	$-0.0828163\pi$
$548$	−0.144834	−	0.0836202i	−0.000264296	−	0.000152592i
$549$	287.140	−	165.780i	0.523024	−	0.301968i
$550$	332.389	−	347.477i	0.604344	−	0.631777i
$551$	−264.555	−	152.741i	−0.480137	−	0.277207i
$552$	−106.211			−0.192411
$553$	723.137	+	638.023i	1.30766	+	1.15375i
$554$	−621.652			−1.12212
$555$	−189.558	+	472.389i	−0.341546	+	0.851152i
$556$	−2.68741	+	1.55158i	−0.00483347	+	0.00279061i
$557$	−218.792	+	126.320i	−0.392805	+	0.226786i	−0.683375	−	0.730068i	$-0.739488\pi$
$557$	−218.792	+	126.320i	−0.392805	+	0.226786i	0.290570	+	0.956854i	$0.406155\pi$
$558$	14.1904	−	24.5785i	0.0254309	−	0.0440476i
$559$			7.05960i			0.0126290i
$560$	254.039	+	504.798i	0.453641	+	0.901425i
$561$	−269.773			−0.480879
$562$	−154.126	−	88.9847i	−0.274245	−	0.158336i
$563$	103.317	+	178.950i	0.183511	+	0.317851i	0.943074	−	0.332583i	$-0.107920\pi$
$563$	103.317	+	178.950i	0.183511	+	0.317851i	−0.759562	+	0.650434i	$0.774587\pi$
$564$	1.98889	+	3.44486i	0.00352640	+	0.00610790i
$565$	−190.255	+	474.126i	−0.336734	+	0.839161i
$566$			348.799i			0.616253i
$567$	−136.340	+	45.8254i	−0.240458	+	0.0808208i
$568$			27.7065i			0.0487790i
$569$	−37.7191	+	65.3314i	−0.0662901	+	0.114818i	−0.897266	−	0.441491i	$-0.854450\pi$
$569$	−37.7191	+	65.3314i	−0.0662901	+	0.114818i	0.830975	+	0.556309i	$0.187783\pi$
$570$	−141.998	+	111.484i	−0.249120	+	0.195585i
$571$	−207.870	−	360.042i	−0.364046	−	0.630547i	0.624576	−	0.780964i	$-0.285272\pi$
$571$	−207.870	−	360.042i	−0.364046	−	0.630547i	−0.988623	+	0.150417i	$0.951938\pi$
$572$	−2.46242	+	4.26503i	−0.00430492	+	0.00745635i
$573$	−345.417			−0.602822
$574$	246.011	+	217.055i	0.428590	+	0.378144i
$575$	−59.5242	−	203.936i	−0.103520	−	0.354670i
$576$	−207.194	+	358.871i	−0.359712	+	0.623040i
$577$	−35.4974	−	61.4832i	−0.0615206	−	0.106557i	0.833625	−	0.552331i	$-0.186262\pi$
$577$	−35.4974	−	61.4832i	−0.0615206	−	0.106557i	−0.895145	+	0.445775i	$0.852928\pi$
$578$	57.9794	−	33.4744i	0.100310	−	0.0579143i
$579$	314.737	+	181.713i	0.543587	+	0.313840i
$580$	−0.696445	−	4.87173i	−0.00120077	−	0.00839954i
$581$	152.544	−	755.041i	0.262553	−	1.29955i
$582$		−	10.3450i		−	0.0177749i
$583$	456.680	+	263.664i	0.783327	+	0.452254i
$584$	170.029	−	98.1666i	0.291146	−	0.168093i
$585$	−358.493	+	281.455i	−0.612808	+	0.481119i
$586$	−112.601	−	65.0101i	−0.192151	−	0.110939i
$587$	877.306			1.49456			0.747279	−	0.664510i	$-0.231360\pi$
$587$	877.306			1.49456			0.747279	+	0.664510i	$0.231360\pi$
$588$	−2.26117	+	1.71360i	−0.00384553	+	0.00291429i
$589$	24.7421			0.0420070
$590$	587.540	+	235.765i	0.995830	+	0.399601i
$591$	303.164	−	175.032i	0.512969	−	0.296163i
$592$	906.878	−	523.586i	1.53189	−	0.884436i
$593$	−393.903	+	682.260i	−0.664254	+	1.15052i	0.315232	+	0.949015i	$0.397918\pi$
$593$	−393.903	+	682.260i	−0.664254	+	1.15052i	−0.979487	+	0.201508i	$0.935416\pi$
$594$			469.054i			0.789653i
$595$	627.332	+	36.0206i	1.05434	+	0.0605388i
$596$	2.47292			0.00414919
$597$	−431.435	−	249.089i	−0.722671	−	0.417234i
$598$	119.058	+	206.214i	0.199093	+	0.344839i
$599$	102.833	+	178.113i	0.171675	+	0.297350i	0.939006	−	0.343902i	$-0.111749\pi$
$599$	102.833	+	178.113i	0.171675	+	0.297350i	−0.767330	+	0.641252i	$0.778415\pi$
$600$	303.538	+	74.1556i	0.505897	+	0.123593i
$601$		−	893.863i		−	1.48729i	−0.668573	−	0.743647i	$-0.733094\pi$
$601$		−	893.863i		−	1.48729i	0.668573	−	0.743647i	$-0.266906\pi$
$602$	−5.33854	−	4.71019i	−0.00886801	−	0.00782424i
$603$			254.623i			0.422260i
$604$	−5.12351	+	8.87419i	−0.00848264	+	0.0146924i
$605$	−115.449	+	90.6400i	−0.190825	+	0.149818i
$606$	−197.936	−	342.834i	−0.326626	−	0.565733i
$607$	256.729	−	444.668i	0.422948	−	0.732567i	−0.573279	−	0.819360i	$-0.694329\pi$
$607$	256.729	−	444.668i	0.422948	−	0.732567i	0.996226	+	0.0867937i	$0.0276621\pi$
$608$	6.75692			0.0111134
$609$	−277.896	+	93.4042i	−0.456316	+	0.153373i
$610$	72.1176	+	504.473i	0.118226	+	0.827005i
$611$	−479.054	+	829.746i	−0.784049	+	1.35801i
$612$	−2.16432	−	3.74872i	−0.00353647	−	0.00612535i
$613$	−422.091	+	243.694i	−0.688565	+	0.397543i	−0.803074	−	0.595879i	$-0.796804\pi$
$613$	−422.091	+	243.694i	−0.688565	+	0.397543i	0.114509	+	0.993422i	$0.463471\pi$
$614$	940.506	+	543.002i	1.53177	+	0.884367i
$615$	181.231	−	25.9081i	0.294685	−	0.0421270i
$616$	170.001	+	505.788i	0.275976	+	0.821084i
$617$			271.341i			0.439775i	0.975525	+	0.219888i	$0.0705690\pi$
$617$			271.341i			0.439775i	−0.975525	+	0.219888i	$0.929431\pi$
$618$	46.3137	+	26.7392i	0.0749413	+	0.0432674i
$619$	−450.085	+	259.857i	−0.727116	+	0.419801i	−0.817366	−	0.576118i	$-0.804567\pi$
$619$	−450.085	+	259.857i	−0.727116	+	0.419801i	0.0902500	+	0.995919i	$0.471233\pi$
$620$	0.246140	+	0.313512i	0.000397001	+	0.000505665i
$621$	179.467	+	103.615i	0.288996	+	0.166852i
$622$	−135.858			−0.218421
$623$	449.317	−	509.257i	0.721215	−	0.817428i
$624$	−353.451			−0.566428
$625$	27.7272	+	624.385i	0.0443635	+	0.999015i
$626$	385.090	−	222.332i	0.615159	−	0.355162i
$627$	−148.986	+	86.0172i	−0.237618	+	0.137189i
$628$	−4.34746	+	7.53002i	−0.00692270	+	0.0119905i
$629$		−	1164.37i		−	1.85115i
$630$	26.3485	−	458.884i	0.0418230	−	0.728387i
$631$	−215.996			−0.342307			−0.171153	−	0.985244i	$-0.554749\pi$
$631$	−215.996			−0.342307			−0.171153	+	0.985244i	$0.554749\pi$
$632$	−950.023	−	548.496i	−1.50320	−	0.867873i
$633$	223.755	+	387.555i	0.353483	+	0.612251i
$634$	−455.757	−	789.394i	−0.718860	−	1.24510i
$635$	−164.893	+	410.924i	−0.259675	+	0.647125i
$636$		−	3.18942i		−	0.00501482i
$637$	−629.768	−	265.297i	−0.988646	−	0.416478i
$638$		−	513.216i		−	0.804414i
$639$	11.3715	−	19.6960i	0.0177958	−	0.0308232i
$640$	−400.595	−	510.243i	−0.625930	−	0.797255i
$641$	81.6625	+	141.444i	0.127399	+	0.220661i	0.922668	−	0.385595i	$-0.126004\pi$
$641$	81.6625	+	141.444i	0.127399	+	0.220661i	−0.795269	+	0.606256i	$0.792671\pi$
$642$	202.307	−	350.406i	0.315120	−	0.545804i
$643$	261.201			0.406223			0.203112	−	0.979156i	$-0.434895\pi$
$643$	261.201			0.406223			0.203112	+	0.979156i	$0.434895\pi$
$644$	−2.15079	−	0.434532i	−0.00333974	−	0.000674739i
$645$	−3.93280	+	0.562218i	−0.00609736	+	0.000871656i
$646$	206.490	−	357.651i	0.319644	−	0.553639i
$647$	198.416	+	343.667i	0.306671	+	0.531169i	0.977632	−	0.210323i	$-0.0674516\pi$
$647$	198.416	+	343.667i	0.306671	+	0.531169i	−0.670961	+	0.741492i	$0.734118\pi$
$648$	141.696	−	81.8082i	0.218666	−	0.126247i
$649$	522.453	+	301.638i	0.805012	+	0.464774i
$650$	−196.276	−	672.462i	−0.301964	−	1.03456i
$651$	15.7098	−	17.8056i	0.0241318	−	0.0273511i
$652$			3.87775i			0.00594746i
$653$	−1034.53	−	597.284i	−1.58427	−	0.914677i	−0.994226	−	0.107303i	$-0.965778\pi$
$653$	−1034.53	−	597.284i	−1.58427	−	0.914677i	−0.590041	−	0.807374i	$-0.700888\pi$
$654$	236.767	−	136.697i	0.362029	−	0.209017i
$655$	99.3765	+	126.577i	0.151720	+	0.193248i
$656$	−326.178	−	188.319i	−0.497222	−	0.287071i
$657$	−161.161			−0.245298
$658$	−307.836	−	915.875i	−0.467836	−	1.39191i
$659$	30.9848			0.0470179			0.0235089	−	0.999724i	$-0.492516\pi$
$659$	30.9848			0.0470179			0.0235089	+	0.999724i	$0.492516\pi$
$660$	−2.57209	−	1.03211i	−0.00389710	−	0.00156381i
$661$	−947.070	+	546.791i	−1.43278	+	0.827218i	−0.997332	−	0.0729941i	$-0.976745\pi$
$661$	−947.070	+	546.791i	−1.43278	+	0.827218i	−0.435451	+	0.900212i	$0.643411\pi$
$662$	−42.5387	+	24.5597i	−0.0642579	+	0.0370993i
$663$	−196.505	+	340.357i	−0.296388	+	0.513359i
$664$			876.233i			1.31963i
$665$	357.939	−	180.132i	0.538254	−	0.270875i
$666$	−851.721			−1.27886
$667$	−196.364	−	113.371i	−0.294399	−	0.169971i
$668$	−0.589773	−	1.02152i	−0.000882894	−	0.00152922i
$669$	−133.590	−	231.384i	−0.199686	−	0.345866i
$670$	−363.199	−	145.742i	−0.542088	−	0.217526i
$671$			485.612i			0.723715i
$672$	4.29025	−	4.86258i	0.00638430	−	0.00723599i
$673$			999.088i			1.48453i	0.670107	+	0.742265i	$0.266248\pi$
$673$			999.088i			1.48453i	−0.670107	+	0.742265i	$0.733752\pi$
$674$	−136.439	+	236.320i	−0.202432	+	0.350623i
$675$	−440.553	−	421.423i	−0.652671	−	0.624331i
$676$	0.470281	+	0.814550i	0.000695681	+	0.00120496i
$677$	254.346	−	440.541i	0.375696	−	0.650725i	−0.614735	−	0.788734i	$-0.710737\pi$
$677$	254.346	−	440.541i	0.375696	−	0.650725i	0.990431	+	0.138009i	$0.0440702\pi$
$678$	322.232			0.475269
$679$	−4.54714	+	22.5069i	−0.00669682	+	0.0331471i
$680$	−707.589	+	101.154i	−1.04057	+	0.148756i
$681$	90.9207	−	157.479i	0.133511	−	0.231247i
$682$	20.7837	+	35.9983i	0.0304746	+	0.0527835i
$683$	216.039	−	124.730i	0.316309	−	0.182621i	−0.333437	−	0.942772i	$-0.608208\pi$
$683$	216.039	−	124.730i	0.316309	−	0.182621i	0.649746	+	0.760151i	$0.274875\pi$
$684$	−2.39056	−	1.38019i	−0.00349497	−	0.00201782i
$685$	22.4407	−	3.20804i	0.0327601	−	0.00468327i
$686$	620.804	−	299.230i	0.904962	−	0.436196i
$687$		−	8.31706i		−	0.0121063i
$688$	7.07820	+	4.08660i	0.0102881	+	0.00593983i
$689$	665.299	−	384.110i	0.965600	−	0.557490i
$690$	−105.397	+	82.7478i	−0.152749	+	0.119924i
$691$	1110.83	+	641.337i	1.60757	+	0.928128i	0.989913	+	0.141677i	$0.0452495\pi$
$691$	1110.83	+	641.337i	1.60757	+	0.928128i	0.617653	+	0.786451i	$0.288084\pi$
$692$	−7.80555			−0.0112797
$693$	86.7385	−	429.328i	0.125164	−	0.619521i
$694$	544.830			0.785058
$695$	156.644	−	390.366i	0.225387	−	0.561677i
$696$	288.813	−	166.746i	0.414962	−	0.239578i
$697$	−362.684	+	209.396i	−0.520350	+	0.300424i
$698$	−165.694	+	286.991i	−0.237384	+	0.411162i
$699$			116.045i			0.166015i
$700$	5.84334	+	2.74351i	0.00834763	+	0.00391931i
$701$	1114.02			1.58919			0.794596	−	0.607138i	$-0.207683\pi$
$701$	1114.02			1.58919			0.794596	+	0.607138i	$0.207683\pi$
$702$	591.778	+	341.663i	0.842988	+	0.486699i
$703$	−371.261	−	643.043i	−0.528109	−	0.914712i
$704$	−303.462	−	525.612i	−0.431054	−	0.746608i
$705$	−500.390	−	200.794i	−0.709774	−	0.284814i
$706$		−	202.180i		−	0.286374i
$707$	279.942	+	832.884i	0.395957	+	1.17805i
$708$		−	3.64878i		−	0.00515364i
$709$	−197.068	+	341.332i	−0.277952	+	0.481427i	−0.970876	−	0.239584i	$-0.922989\pi$
$709$	−197.068	+	341.332i	−0.277952	+	0.481427i	0.692924	+	0.721011i	$0.256322\pi$
$710$	21.5859	+	27.4943i	0.0304027	+	0.0387243i
$711$	450.235	+	779.830i	0.633242	+	1.09681i
$712$	−386.269	+	669.038i	−0.542513	+	0.939660i
$713$	18.3646			0.0257569
$714$	−126.273	−	375.687i	−0.176852	−	0.526172i
$715$	−94.4692	−	660.826i	−0.132125	−	0.924232i
$716$	−0.0275287	+	0.0476811i	−3.84479e−5	+	6.65937e-5i
$717$	136.312	+	236.099i	0.190114	+	0.329287i
$718$	−219.083	+	126.488i	−0.305130	+	0.176167i
$719$	−707.566	−	408.514i	−0.984098	−	0.568169i	−0.0805931	−	0.996747i	$-0.525681\pi$
$719$	−707.566	−	408.514i	−0.984098	−	0.568169i	−0.903505	+	0.428578i	$0.859015\pi$
$720$	74.6752	+	522.364i	0.103715	+	0.725505i
$721$	−89.0083	−	78.5319i	−0.123451	−	0.108921i
$722$			461.964i			0.639840i
$723$	29.9042	+	17.2652i	0.0413612	+	0.0238799i
$724$	−2.16704	+	1.25114i	−0.00299315	+	0.00172809i
$725$	482.032	+	461.101i	0.664871	+	0.636002i
$726$	80.1772	+	46.2903i	0.110437	+	0.0637608i
$727$	984.409			1.35407			0.677035	−	0.735951i	$-0.263265\pi$
$727$	984.409			1.35407			0.677035	+	0.735951i	$0.263265\pi$
$728$	761.953	+	153.940i	1.04664	+	0.211456i
$729$	210.197			0.288336
$730$	92.2462	−	229.883i	0.126365	−	0.314908i
$731$	7.87041	−	4.54398i	0.0107666	−	0.00621612i
$732$	2.54362	−	1.46856i	0.00347489	−	0.00200623i
$733$	142.143	−	246.199i	0.193920	−	0.335879i	−0.752626	−	0.658448i	$-0.771213\pi$
$733$	142.143	−	246.199i	0.193920	−	0.335879i	0.946546	+	0.322569i	$0.104546\pi$
$734$			1001.27i			1.36413i
$735$	97.6390	−	371.962i	0.132842	−	0.506071i
$736$	5.01527			0.00681422
$737$	−322.964	−	186.463i	−0.438214	−	0.253003i
$738$	153.170	+	265.298i	0.207547	+	0.359482i
$739$	−561.975	−	973.370i	−0.760454	−	1.31714i	−0.942617	−	0.333876i	$-0.891643\pi$
$739$	−561.975	−	973.370i	−0.760454	−	1.31714i	0.182163	−	0.983268i	$-0.441690\pi$
$740$	4.45473	−	11.1015i	0.00601990	−	0.0150020i
$741$			250.623i			0.338222i
$742$	−153.421	+	759.386i	−0.206767	+	1.02343i
$743$			640.618i			0.862205i	0.902303	+	0.431102i	$0.141875\pi$
$743$			640.618i			0.862205i	−0.902303	+	0.431102i	$0.858125\pi$
$744$	−13.5054	+	23.3921i	−0.0181524	+	0.0314410i
$745$	−263.648	+	206.992i	−0.353890	+	0.277841i
$746$	255.056	+	441.770i	0.341898	+	0.592185i
$747$	359.630	−	622.897i	0.481432	−	0.833865i
$748$	6.33984			0.00847572
$749$	−594.167	+	673.431i	−0.793280	+	0.899106i
$750$	358.987	−	162.897i	0.478649	−	0.217196i
$751$	279.437	−	483.998i	0.372086	−	0.644472i	−0.617800	−	0.786335i	$-0.711976\pi$
$751$	279.437	−	483.998i	0.372086	−	0.644472i	0.989886	+	0.141863i	$0.0453093\pi$
$752$	554.622	+	960.633i	0.737529	+	1.27744i
$753$	386.167	−	222.954i	0.512838	−	0.296087i
$754$	−647.495	−	373.831i	−0.858747	−	0.495798i
$755$	−196.561	−	1374.97i	−0.260345	−	1.82115i
$756$	−5.96877	+	2.00617i	−0.00789520	+	0.00265367i
$757$			477.300i			0.630515i	0.949006	+	0.315257i	$0.102091\pi$
$757$			477.300i			0.630515i	−0.949006	+	0.315257i	$0.897909\pi$
$758$	230.105	+	132.851i	0.303568	+	0.175265i
$759$	−110.584	+	63.8456i	−0.145697	+	0.0841180i
$760$	−358.523	+	281.479i	−0.471741	+	0.370367i
$761$	−875.580	−	505.516i	−1.15057	−	0.664279i	−0.201540	−	0.979480i	$-0.564595\pi$
$761$	−875.580	−	505.516i	−1.15057	−	0.664279i	−0.949025	+	0.315201i	$0.897928\pi$
$762$	279.278			0.366507
$763$	−575.203	+	193.332i	−0.753870	+	0.253384i
$764$	8.11751			0.0106250
$765$	544.528	+	218.505i	0.711801	+	0.285628i
$766$	−783.241	+	452.204i	−1.02251	+	0.590345i
$767$	761.118	−	439.432i	0.992332	−	0.572923i
$768$	−5.55799	+	9.62673i	−0.00723697	+	0.0125348i
$769$			58.9725i			0.0766873i	0.999265	+	0.0383437i	$0.0122082\pi$
$769$			58.9725i			0.0766873i	−0.999265	+	0.0383437i	$0.987792\pi$
$770$	562.754	+	369.467i	0.730849	+	0.479827i
$771$	−424.747			−0.550904
$772$	−7.39652	−	4.27038i	−0.00958098	−	0.00553158i
$773$	−447.760	−	775.542i	−0.579249	−	1.00329i	−0.995566	−	0.0940692i	$-0.970013\pi$
$773$	−447.760	−	775.542i	−0.579249	−	1.00329i	0.416317	−	0.909220i	$-0.363321\pi$
$774$	−3.32385	−	5.75708i	−0.00429438	−	0.00743809i
$775$	−52.4841	−	12.8221i	−0.0677215	−	0.0165446i
$776$		−	26.1195i		−	0.0336591i
$777$	−698.491	−	141.119i	−0.898959	−	0.181620i
$778$		−	651.601i		−	0.837534i
$779$	−133.532	+	231.284i	−0.171414	+	0.296898i
$780$	−3.17569	+	2.49325i	−0.00407140	+	0.00319648i
$781$	16.6550	+	28.8473i	0.0213252	+	0.0369363i
$782$	153.265	−	265.463i	0.195991	−	0.339467i
$783$	−650.687			−0.831018
$784$	−630.551	+	477.855i	−0.804274	+	0.609508i
$785$	−166.788	−	1166.70i	−0.212468	−	1.48625i
$786$	50.7521	−	87.9052i	0.0645701	−	0.111839i
$787$	412.883	+	715.134i	0.524629	+	0.908684i	0.999589	+	0.0286766i	$0.00912930\pi$
$787$	412.883	+	715.134i	0.524629	+	0.908684i	−0.474960	+	0.880008i	$0.657537\pi$
$788$	−7.12456	+	4.11337i	−0.00904132	+	0.00522001i
$789$	137.539	+	79.4082i	0.174321	+	0.100644i
$790$	−1370.07	+	195.861i	−1.73427	+	0.247925i
$791$	−701.059	−	141.637i	−0.886295	−	0.179061i
$792$			498.239i			0.629090i
$793$	612.669	+	353.724i	0.772596	+	0.446058i
$794$	1000.12	−	577.422i	1.25960	−	0.727232i
$795$	266.966	+	340.038i	0.335806	+	0.427721i
$796$	10.1390	+	5.85375i	0.0127374	+	0.00735395i
$797$	−315.810			−0.396248			−0.198124	−	0.980177i	$-0.563485\pi$
$797$	−315.810			−0.396248			−0.198124	+	0.980177i	$0.563485\pi$
$798$	−189.524	−	167.216i	−0.237498	−	0.209544i
$799$	1233.39			1.54367
$800$	−14.3331	−	3.50163i	−0.0179164	−	0.00437703i
$801$	549.182	−	317.071i	0.685621	−	0.395844i
$802$	−913.998	+	527.697i	−1.13965	+	0.657976i
$803$	118.020	−	204.417i	0.146974	−	0.254567i
$804$			2.25556i			0.00280543i
$805$	265.677	−	133.702i	0.330033	−	0.166089i
$806$	60.5560			0.0751315
$807$	332.947	+	192.227i	0.412574	+	0.238200i
$808$	−499.756	−	865.603i	−0.618510	−	1.07129i
$809$	407.907	+	706.515i	0.504211	+	0.873319i	0.999988	+	0.00486950i	$0.00155001\pi$
$809$	407.907	+	706.515i	0.504211	+	0.873319i	−0.495777	+	0.868450i	$0.665117\pi$
$810$	76.8744	−	191.576i	0.0949066	−	0.236513i
$811$		−	567.015i		−	0.699156i	−0.936907	−	0.349578i	$-0.886325\pi$
$811$		−	567.015i		−	0.699156i	0.936907	−	0.349578i	$-0.113675\pi$
$812$	6.53074	−	2.19506i	0.00804279	−	0.00270327i
$813$		−	526.408i		−	0.647489i
$814$	623.726	−	1080.33i	0.766248	−	1.32718i
$815$	−324.581	−	413.423i	−0.398259	−	0.507267i
$816$	227.503	+	394.046i	0.278802	+	0.482900i
$817$	2.89770	−	5.01896i	0.00354676	−	0.00614316i
$818$	853.997			1.04401
$819$	−478.476	−	422.159i	−0.584220	−	0.515457i
$820$	−4.25904	+	0.608857i	−0.00519396	+	0.000742509i
$821$	190.825	−	330.519i	0.232430	−	0.402581i	−0.726092	−	0.687597i	$-0.758666\pi$
$821$	190.825	−	330.519i	0.232430	−	0.402581i	0.958523	+	0.285016i	$0.0919989\pi$
$822$	−7.14916	−	12.3827i	−0.00869727	−	0.0150641i
$823$	−879.787	+	507.945i	−1.06900	+	0.617187i	−0.927908	−	0.372809i	$-0.878395\pi$
$823$	−879.787	+	507.945i	−1.06900	+	0.617187i	−0.141092	+	0.989997i	$0.545061\pi$
$824$	116.935	+	67.5124i	0.141911	+	0.0819325i
$825$	360.613	−	105.255i	0.437106	−	0.127582i
$826$	−175.518	+	868.757i	−0.212491	+	1.05176i
$827$		−	643.069i		−	0.777592i	−0.921324	−	0.388796i	$-0.872891\pi$
$827$		−	643.069i		−	0.777592i	0.921324	−	0.388796i	$-0.127109\pi$
$828$	−1.77437	−	1.02443i	−0.00214296	−	0.00123724i
$829$	1016.88	−	587.094i	1.22663	−	0.708196i	0.260307	−	0.965526i	$-0.416176\pi$
$829$	1016.88	−	587.094i	1.22663	−	0.708196i	0.966324	+	0.257330i	$0.0828428\pi$
$830$	682.666	+	869.521i	0.822489	+	1.04762i
$831$	−420.588	−	242.826i	−0.506123	−	0.292210i
$832$	−884.178			−1.06271
$833$	109.590	+	872.859i	0.131560	+	1.04785i
$834$	−265.306			−0.318113
$835$	148.383	+	59.5422i	0.177704	+	0.0713080i
$836$	3.50127	−	2.02146i	0.00418812	−	0.00241801i
$837$	45.6409	−	26.3508i	0.0545291	−	0.0314824i
$838$	134.638	−	233.200i	0.160666	−	0.278282i
$839$			1306.32i			1.55700i	0.627647	+	0.778498i	$0.284018\pi$
$839$			1306.32i			1.55700i	−0.627647	+	0.778498i	$0.715982\pi$
$840$	−25.0766	+	436.732i	−0.0298531	+	0.519919i
$841$	−129.050			−0.153448
$842$	−71.4636	−	41.2595i	−0.0848736	−	0.0490018i
$843$	−69.5175	−	120.408i	−0.0824644	−	0.142832i
$844$	−5.25838	−	9.10778i	−0.00623031	−	0.0107912i
$845$	−118.319	−	47.4785i	−0.140023	−	0.0561876i
$846$		−	902.207i		−	1.06644i
$847$	−154.089	−	135.953i	−0.181923	−	0.160511i
$848$		−	889.403i		−	1.04882i
$849$	−136.246	+	235.985i	−0.160478	+	0.277957i
$850$	−623.360	+	651.656i	−0.733365	+	0.766654i
$851$	−275.565	−	477.293i	−0.323813	−	0.560861i
$852$	0.100734	−	0.174476i	0.000118232	−	0.000204784i
$853$	−936.388			−1.09776			−0.548879	−	0.835902i	$-0.684945\pi$
$853$	−936.388			−1.09776			−0.548879	+	0.835902i	$0.684945\pi$
$854$	−676.265	+	227.300i	−0.791879	+	0.266160i
$855$	370.394	−	52.9501i	0.433209	−	0.0619300i
$856$	510.794	−	884.721i	0.596722	−	1.03355i
$857$	−216.035	−	374.183i	−0.252083	−	0.436620i	0.712016	−	0.702163i	$-0.247782\pi$
$857$	−216.035	−	374.183i	−0.252083	−	0.436620i	−0.964099	+	0.265543i	$0.914449\pi$
$858$	−364.641	+	210.526i	−0.424990	+	0.245368i
$859$	991.760	+	572.593i	1.15455	+	0.666581i	0.949992	−	0.312274i	$-0.101091\pi$
$859$	991.760	+	572.593i	1.15455	+	0.666581i	0.204559	+	0.978854i	$0.434424\pi$
$860$	0.0924232	−	0.0132125i	0.000107469	−	1.53633e-5i
$861$	81.6573	+	242.947i	0.0948401	+	0.282168i
$862$		−	564.103i		−	0.654412i
$863$	22.7062	+	13.1094i	0.0263107	+	0.0151905i	0.513098	−	0.858330i	$-0.328498\pi$
$863$	22.7062	+	13.1094i	0.0263107	+	0.0151905i	−0.486787	+	0.873521i	$0.661831\pi$
$864$	12.4642	−	7.19623i	0.0144262	−	0.00832897i
$865$	832.182	−	653.351i	0.962060	−	0.755319i
$866$	−1168.43	−	674.596i	−1.34923	−	0.778979i
$867$	52.3025			0.0603258
$868$	−0.369191	+	0.418442i	−0.000425335	+	0.000482076i
$869$	−1318.85			−1.51767
$870$	156.690	−	390.481i	0.180104	−	0.448829i
$871$	−470.500	+	271.643i	−0.540183	+	0.311875i
$872$	597.799	−	345.139i	0.685549	−	0.395802i
$873$	−10.7201	+	18.5678i	−0.0122797	+	0.0212690i
$874$		−	195.475i		−	0.223655i
$875$	−852.625	+	196.610i	−0.974429	+	0.224698i
$876$	−1.42764			−0.00162972
$877$	−204.283	−	117.943i	−0.232933	−	0.134484i	0.378991	−	0.925400i	$-0.376271\pi$
$877$	−204.283	−	117.943i	−0.232933	−	0.134484i	−0.611925	+	0.790916i	$0.709604\pi$
$878$	650.766	+	1127.16i	0.741191	+	1.28378i
$879$	−50.7878	−	87.9670i	−0.0577791	−	0.100076i
$880$	−717.253	−	287.815i	−0.815060	−	0.327063i
$881$			960.332i			1.09005i	0.838421	+	0.545024i	$0.183479\pi$
$881$			960.332i			1.09005i	−0.838421	+	0.545024i	$0.816521\pi$
$882$	638.482	−	80.1631i	0.723903	−	0.0908878i
$883$			996.798i			1.12888i	0.825475	+	0.564438i	$0.190907\pi$
$883$			996.798i			1.12888i	−0.825475	+	0.564438i	$0.809093\pi$
$884$	4.61800	−	7.99860i	0.00522398	−	0.00904820i
$885$	305.416	+	389.012i	0.345102	+	0.439561i
$886$	176.358	+	305.462i	0.199050	+	0.344765i
$887$	−462.180	+	800.519i	−0.521059	+	0.902501i	0.478641	+	0.878011i	$0.341130\pi$
$887$	−462.180	+	800.519i	−0.521059	+	0.902501i	−0.999700	+	0.0244904i	$0.992204\pi$
$888$	810.606			0.912845
$889$	−607.607	−	122.757i	−0.683472	−	0.138084i
$890$	137.932	+	964.852i	0.154979	+	1.08410i
$891$	98.3534	−	170.353i	0.110385	−	0.191193i
$892$	3.13945	+	5.43768i	0.00351956	+	0.00609606i
$893$	681.159	−	393.267i	0.762776	−	0.440389i
$894$	183.098	+	105.712i	0.204808	+	0.118246i
$895$	−1.05612	−	7.38772i	−0.00118002	−	0.00825444i
$896$	600.860	−	681.017i	0.670602	−	0.760063i
$897$			186.023i			0.207383i
$898$	18.4883	+	10.6742i	0.0205883	+	0.0118866i
$899$	−49.9381	+	28.8318i	−0.0555485	+	0.0320709i
$900$	4.35570	+	4.16657i	0.00483967	+	0.00462952i
$901$	−856.453	−	494.473i	−0.950558	−	0.548805i
$902$	−448.672			−0.497419
$903$	−1.77200	−	5.27206i	−0.00196235	−	0.00583839i
$904$	813.586			0.899985
$905$	126.312	−	314.778i	0.139572	−	0.347821i
$906$	−758.704	+	438.038i	−0.837422	+	0.483486i
$907$	992.959	−	573.285i	1.09477	−	0.632068i	0.159930	−	0.987128i	$-0.448873\pi$
$907$	992.959	−	573.285i	1.09477	−	0.632068i	0.934843	+	0.355061i	$0.115540\pi$
$908$	−2.13669	+	3.70086i	−0.00235319	+	0.00407584i
$909$			820.454i			0.902589i
$910$	876.049	−	440.870i	0.962691	−	0.484473i
$911$	1018.28			1.11776			0.558878	−	0.829250i	$-0.311232\pi$
$911$	1018.28			1.11776			0.558878	+	0.829250i	$0.311232\pi$
$912$	251.283	+	145.079i	0.275530	+	0.159077i
$913$	526.723	+	912.311i	0.576915	+	0.999246i
$914$	−334.946	−	580.143i	−0.366461	−	0.634729i
$915$	−148.262	+	369.479i	−0.162035	+	0.403802i
$916$			0.195456i			0.000213380i
$917$	−149.057	+	168.941i	−0.162548	+	0.184233i
$918$		−	879.660i		−	0.958235i
$919$	67.5509	−	117.002i	0.0735048	−	0.127314i	−0.826930	−	0.562304i	$-0.809915\pi$
$919$	67.5509	−	117.002i	0.0735048	−	0.127314i	0.900435	+	0.434990i	$0.143248\pi$
$920$	−266.111	+	208.925i	−0.289251	+	0.227093i
$921$	424.209	+	734.751i	0.460596	+	0.797776i
$922$	473.854	−	820.739i	0.513941	−	0.890173i
$923$	48.5265			0.0525748
$924$	0.768369	−	3.80318i	0.000831568	−	0.00411600i
$925$	454.292	+	1556.45i	0.491127	+	1.68265i
$926$	−593.796	+	1028.48i	−0.641248	+	1.11067i
$927$	−55.4178	−	95.9865i	−0.0597819	−	0.103545i
$928$	−13.6378	+	7.87377i	−0.0146959	+	0.00848467i
$929$	−237.895	−	137.349i	−0.256076	−	0.147846i	0.366467	−	0.930431i	$-0.380567\pi$
$929$	−237.895	−	137.349i	−0.256076	−	0.147846i	−0.622543	+	0.782585i	$0.713901\pi$
$930$	4.82261	+	33.7348i	0.00518560	+	0.0362740i
$931$	338.834	+	447.107i	0.363946	+	0.480243i
$932$		−	2.72712i		−	0.00292610i
$933$	−91.9167	−	53.0681i	−0.0985174	−	0.0568790i
$934$	846.363	−	488.648i	0.906171	−	0.523178i
$935$	−675.917	+	530.667i	−0.722906	+	0.567558i
$936$	628.599	+	362.922i	0.671580	+	0.387737i
$937$	546.613			0.583365			0.291682	−	0.956515i	$-0.405785\pi$
$937$	546.613			0.583365			0.291682	+	0.956515i	$0.405785\pi$
$938$	108.500	−	537.038i	0.115671	−	0.572535i
$939$	347.384			0.369951
$940$	11.7595	+	4.71878i	0.0125101	+	0.00501998i
$941$	539.855	−	311.685i	0.573703	−	0.331228i	−0.184924	−	0.982753i	$-0.559204\pi$
$941$	539.855	−	311.685i	0.573703	−	0.331228i	0.758627	+	0.651525i	$0.225870\pi$
$942$	−643.783	+	371.689i	−0.683422	+	0.394574i
$943$	−99.1128	+	171.668i	−0.105104	+	0.182045i
$944$		−	1017.50i		−	1.07786i
$945$	468.432	−	713.493i	0.495695	−	0.755019i
$946$	9.73639			0.0102922
$947$	11.2372	+	6.48780i	0.0118661	+	0.00685089i	0.505921	−	0.862580i	$-0.331153\pi$
$947$	11.2372	+	6.48780i	0.0118661	+	0.00685089i	−0.494055	+	0.869431i	$0.664486\pi$
$948$	3.98839	+	6.90809i	0.00420716	+	0.00728701i
$949$	−171.934	−	297.798i	−0.181174	−	0.313802i
$950$	−136.479	+	558.645i	−0.143662	+	0.588048i
$951$		−	712.102i		−	0.748793i
$952$	−318.819	−	948.550i	−0.334894	−	0.996376i
$953$			1364.86i			1.43217i	0.698014	+	0.716085i	$0.254068\pi$
$953$			1364.86i			1.43217i	−0.698014	+	0.716085i	$0.745932\pi$
$954$	−361.699	+	626.482i	−0.379140	+	0.656689i
$955$	−865.442	+	679.464i	−0.906222	+	0.711481i
$956$	−3.20341	−	5.54847i	−0.00335085	−	0.00580384i
$957$	200.470	−	347.224i	0.209477	−	0.362826i
$958$	−544.566			−0.568441
$959$	10.1111	+	30.0826i	0.0105434	+	0.0313687i
$960$	−70.4149	−	492.562i	−0.0733488	−	0.513086i
$961$	−478.165	+	828.206i	−0.497570	+	0.861817i
$962$	−908.655	−	1573.84i	−0.944548	−	1.63600i
$963$	−726.227	+	419.287i	−0.754130	+	0.435397i
$964$	−0.702767	−	0.405743i	−0.000729011	−	0.000420895i
$965$	1146.02	−	163.831i	1.18758	−	0.169773i
$966$	−140.672	−	124.115i	−0.145624	−	0.128483i
$967$		−	351.163i		−	0.363147i	−0.983377	−	0.181573i	$-0.941881\pi$
$967$		−	351.163i		−	0.363147i	0.983377	−	0.181573i	$-0.0581190\pi$
$968$	202.435	+	116.876i	0.209127	+	0.120739i
$969$	279.408	−	161.316i	0.288346	−	0.166477i
$970$	−20.3495	−	25.9194i	−0.0209788	−	0.0267210i
$971$	889.447	+	513.522i	0.916011	+	0.528859i	0.882360	−	0.470574i	$-0.155953\pi$
$971$	889.447	+	513.522i	0.916011	+	0.528859i	0.0336509	+	0.999434i	$0.489287\pi$
$972$	−9.28575			−0.00955324
$973$	577.208	+	116.615i	0.593225	+	0.119851i
$974$	−436.074			−0.447714
$975$	129.880	−	531.632i	0.133210	−	0.545264i
$976$	709.313	−	409.522i	0.726756	−	0.419592i
$977$	−946.610	+	546.526i	−0.968895	+	0.559392i	−0.898899	−	0.438156i	$-0.855632\pi$
$977$	−946.610	+	546.526i	−0.968895	+	0.559392i	−0.0699956	+	0.997547i	$0.522299\pi$
$978$	−165.765	+	287.114i	−0.169494	+	0.293572i
$979$			928.779i			0.948702i
$980$	−2.29458	+	8.74134i	−0.00234141	+	0.00891974i
$981$	−566.618			−0.577593
$982$	−277.475	−	160.201i	−0.282562	−	0.163137i
$983$	−102.157	−	176.941i	−0.103924	−	0.180001i	0.809374	−	0.587293i	$-0.199806\pi$
$983$	−102.157	−	176.941i	−0.103924	−	0.180001i	−0.913298	+	0.407292i	$0.866473\pi$
$984$	−145.776	−	252.491i	−0.148146	−	0.256597i
$985$	415.276	−	1034.89i	0.421600	−	1.05065i
$986$			962.482i			0.976148i
$987$	149.483	−	739.894i	0.151452	−	0.749640i
$988$		−	5.88979i		−	0.00596133i
$989$	2.15079	−	3.72528i	0.00217472	−	0.00376672i
$990$	388.174	+	494.423i	0.392095	+	0.499417i
$991$	−194.790	−	337.385i	−0.196559	−	0.340449i	0.750852	−	0.660471i	$-0.229643\pi$
$991$	−194.790	−	337.385i	−0.196559	−	0.340449i	−0.947410	+	0.320021i	$0.896310\pi$
$992$	0.637726	−	1.10457i	0.000642869	−	0.00111348i
$993$	−38.3736			−0.0386441
$994$	−32.3771	+	36.6963i	−0.0325725	+	0.0369178i
$995$	−1570.94	+	224.576i	−1.57883	+	0.225704i
$996$	3.18577	−	5.51791i	0.00319856	−	0.00554007i
$997$	−662.752	−	1147.92i	−0.664746	−	1.15137i	−0.979354	−	0.202153i	$-0.935206\pi$
$997$	−662.752	−	1147.92i	−0.664746	−	1.15137i	0.314608	−	0.949222i	$-0.398127\pi$
$998$	817.560	−	472.018i	0.819198	−	0.472964i
$999$	−1369.70	−	790.797i	−1.37107	−	0.791589i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	35.3.i.a.19.2	✓	12
3.2	odd	2		315.3.bi.c.19.5		12
4.3	odd	2		560.3.br.a.369.4		12
5.2	odd	4		175.3.i.c.26.5		12
5.3	odd	4		175.3.i.c.26.2		12
5.4	even	2	inner	35.3.i.a.19.5	yes	12
7.2	even	3		245.3.c.a.244.10		12
7.3	odd	6	inner	35.3.i.a.24.5	yes	12
7.4	even	3		245.3.i.d.129.5		12
7.5	odd	6		245.3.c.a.244.9		12
7.6	odd	2		245.3.i.d.19.2		12
15.14	odd	2		315.3.bi.c.19.2		12
20.19	odd	2		560.3.br.a.369.3		12
21.17	even	6		315.3.bi.c.199.2		12
28.3	even	6		560.3.br.a.129.3		12
35.3	even	12		175.3.i.c.101.2		12
35.4	even	6		245.3.i.d.129.2		12
35.9	even	6		245.3.c.a.244.3		12
35.17	even	12		175.3.i.c.101.5		12
35.19	odd	6		245.3.c.a.244.4		12
35.24	odd	6	inner	35.3.i.a.24.2	yes	12
35.34	odd	2		245.3.i.d.19.5		12
105.59	even	6		315.3.bi.c.199.5		12
140.59	even	6		560.3.br.a.129.4		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
35.3.i.a.19.2	✓	12	1.1	even	1	trivial
35.3.i.a.19.5	yes	12	5.4	even	2	inner
35.3.i.a.24.2	yes	12	35.24	odd	6	inner
35.3.i.a.24.5	yes	12	7.3	odd	6	inner
175.3.i.c.26.2		12	5.3	odd	4
175.3.i.c.26.5		12	5.2	odd	4
175.3.i.c.101.2		12	35.3	even	12
175.3.i.c.101.5		12	35.17	even	12
245.3.c.a.244.3		12	35.9	even	6
245.3.c.a.244.4		12	35.19	odd	6
245.3.c.a.244.9		12	7.5	odd	6
245.3.c.a.244.10		12	7.2	even	3
245.3.i.d.19.2		12	7.6	odd	2
245.3.i.d.19.5		12	35.34	odd	2
245.3.i.d.129.2		12	35.4	even	6
245.3.i.d.129.5		12	7.4	even	3
315.3.bi.c.19.2		12	15.14	odd	2
315.3.bi.c.19.5		12	3.2	odd	2
315.3.bi.c.199.2		12	21.17	even	6
315.3.bi.c.199.5		12	105.59	even	6
560.3.br.a.129.3		12	28.3	even	6
560.3.br.a.129.4		12	140.59	even	6
560.3.br.a.369.3		12	20.19	odd	2
560.3.br.a.369.4		12	4.3	odd	2

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:	\( N \)	\(=\)	\( 35 = 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	35.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.74002 - 1.00460i) q^{2} +(-0.784824 - 1.35935i) q^{3} +(0.0184439 + 0.0319457i) q^{4} +(-4.64034 - 1.86205i) q^{5} +3.15374i q^{6} +(1.38623 - 6.86137i) q^{7} +7.96269i q^{8} +(3.26810 - 5.66052i) q^{9} +O(q^{10})\)	\(q+(-1.74002 - 1.00460i) q^{2} +(-0.784824 - 1.35935i) q^{3} +(0.0184439 + 0.0319457i) q^{4} +(-4.64034 - 1.86205i) q^{5} +3.15374i q^{6} +(1.38623 - 6.86137i) q^{7} +7.96269i q^{8} +(3.26810 - 5.66052i) q^{9} +(6.20367 + 7.90169i) q^{10} +(4.78655 + 8.29054i) q^{11} +(0.0289503 - 0.0501435i) q^{12} +13.9463 q^{13} +(-9.30499 + 10.5463i) q^{14} +(1.11066 + 7.76925i) q^{15} +(8.07310 - 13.9830i) q^{16} +(-8.97665 - 15.5480i) q^{17} +(-11.3731 + 6.56628i) q^{18} +(-9.91497 - 5.72441i) q^{19} +(-0.0261013 - 0.182582i) q^{20} +(-10.4150 + 3.50059i) q^{21} -19.2343i q^{22} +(-7.35931 - 4.24890i) q^{23} +(10.8241 - 6.24931i) q^{24} +(18.0655 + 17.2811i) q^{25} +(-24.2667 - 14.0104i) q^{26} -24.3864 q^{27} +(0.244758 - 0.0822662i) q^{28} +26.6824 q^{29} +(5.87242 - 14.6344i) q^{30} +(-1.87157 + 1.08055i) q^{31} +(-0.511115 + 0.295092i) q^{32} +(7.51319 - 13.0132i) q^{33} +36.0718i q^{34} +(-19.2088 + 29.2579i) q^{35} +0.241106 q^{36} +(56.1667 + 32.4279i) q^{37} +(11.5015 + 19.9212i) q^{38} +(-10.9453 - 18.9579i) q^{39} +(14.8269 - 36.9496i) q^{40} -23.3267i q^{41} +(21.6389 + 4.37179i) q^{42} +0.506200i q^{43} +(-0.176565 + 0.305819i) q^{44} +(-25.7053 + 20.1814i) q^{45} +(8.53689 + 14.7863i) q^{46} +(-34.3500 + 59.4960i) q^{47} -25.3438 q^{48} +(-45.1568 - 19.0228i) q^{49} +(-14.0738 - 48.2181i) q^{50} +(-14.0902 + 24.4049i) q^{51} +(0.257223 + 0.445523i) q^{52} +(47.7045 - 27.5422i) q^{53} +(42.4327 + 24.4986i) q^{54} +(-6.77380 - 47.3837i) q^{55} +(54.6349 + 11.0381i) q^{56} +17.9706i q^{57} +(-46.4279 - 26.8051i) q^{58} +(54.5751 - 31.5090i) q^{59} +(-0.227709 + 0.178776i) q^{60} +(43.9307 + 25.3634i) q^{61} +4.34210 q^{62} +(-34.3086 - 30.2704i) q^{63} -63.3990 q^{64} +(-64.7154 - 25.9686i) q^{65} +(-26.1462 + 15.0955i) q^{66} +(-33.7366 + 19.4779i) q^{67} +(0.331128 - 0.573531i) q^{68} +13.3385i q^{69} +(62.8161 - 31.6121i) q^{70} +3.47954 q^{71} +(45.0730 + 26.0229i) q^{72} +(-12.3283 - 21.3533i) q^{73} +(-65.1541 - 112.850i) q^{74} +(9.31288 - 38.1201i) q^{75} -0.422321i q^{76} +(63.5197 - 21.3497i) q^{77} +43.9828i q^{78} +(-68.8832 + 119.309i) q^{79} +(-63.4990 + 49.8534i) q^{80} +(-10.2739 - 17.7950i) q^{81} +(-23.4340 + 40.5889i) q^{82} +110.042 q^{83} +(-0.303921 - 0.268149i) q^{84} +(12.7035 + 88.8631i) q^{85} +(0.508529 - 0.880798i) q^{86} +(-20.9410 - 36.2708i) q^{87} +(-66.0150 + 38.1138i) q^{88} +(84.0216 + 48.5099i) q^{89} +(65.0019 - 9.29243i) q^{90} +(19.3326 - 95.6904i) q^{91} -0.313464i q^{92} +(2.93771 + 1.69609i) q^{93} +(119.539 - 69.0161i) q^{94} +(35.3497 + 45.0254i) q^{95} +(0.802270 + 0.463191i) q^{96} -3.28023 q^{97} +(59.4633 + 78.4645i) q^{98} +62.5717 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{4} - 18 q^{9}+O(q^{10}) \) 12 * q + 6 * q^4 - 18 * q^9	\( 12 q + 6 q^{4} - 18 q^{9} - 54 q^{10} + 6 q^{11} - 66 q^{14} + 48 q^{15} - 6 q^{16} + 18 q^{19} + 12 q^{21} + 216 q^{24} + 18 q^{25} + 18 q^{26} + 48 q^{30} - 108 q^{31} + 222 q^{35} - 204 q^{36} - 240 q^{39} - 162 q^{40} - 42 q^{44} - 216 q^{45} + 114 q^{46} - 324 q^{49} - 192 q^{50} + 180 q^{51} + 252 q^{54} + 336 q^{56} + 396 q^{59} + 384 q^{60} - 108 q^{61} + 372 q^{64} - 54 q^{65} - 108 q^{66} + 300 q^{70} + 192 q^{71} - 594 q^{74} - 216 q^{75} - 192 q^{79} - 504 q^{80} + 294 q^{81} - 1200 q^{84} - 192 q^{85} - 384 q^{86} + 684 q^{89} - 72 q^{91} + 990 q^{94} + 288 q^{95} - 540 q^{96} + 396 q^{99}+O(q^{100}) \) 12 * q + 6 * q^4 - 18 * q^9 - 54 * q^10 + 6 * q^11 - 66 * q^14 + 48 * q^15 - 6 * q^16 + 18 * q^19 + 12 * q^21 + 216 * q^24 + 18 * q^25 + 18 * q^26 + 48 * q^30 - 108 * q^31 + 222 * q^35 - 204 * q^36 - 240 * q^39 - 162 * q^40 - 42 * q^44 - 216 * q^45 + 114 * q^46 - 324 * q^49 - 192 * q^50 + 180 * q^51 + 252 * q^54 + 336 * q^56 + 396 * q^59 + 384 * q^60 - 108 * q^61 + 372 * q^64 - 54 * q^65 - 108 * q^66 + 300 * q^70 + 192 * q^71 - 594 * q^74 - 216 * q^75 - 192 * q^79 - 504 * q^80 + 294 * q^81 - 1200 * q^84 - 192 * q^85 - 384 * q^86 + 684 * q^89 - 72 * q^91 + 990 * q^94 + 288 * q^95 - 540 * q^96 + 396 * q^99

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