LMFDB - Embedded newform 130.3.r.a.17.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [130,3,Mod(17,130)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(130, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([3, 2])) N = Newforms(chi, 3, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("130.17"); S:= CuspForms(chi, 3); N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	130.r (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [28,-14] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$3.54224343668$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			17.1
Character	$\chi$	$=$	130.17
Dual form			130.3.r.a.23.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.366025 + 1.36603i) q^{2} +(-1.48198 - 5.53084i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(4.80922 - 1.36799i) q^{5} +(7.01282 - 4.04885i) q^{6} +(-9.14020 - 2.44911i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(-20.5996 + 11.8932i) q^{9} +(3.62900 + 6.06880i) q^{10} +(-9.31429 - 5.37761i) q^{11} +(8.09771 + 8.09771i) q^{12} +(12.9986 + 0.193180i) q^{13} -13.3822i q^{14} +(-14.6933 - 24.5717i) q^{15} +(2.00000 - 3.46410i) q^{16} +(5.75763 - 21.4878i) q^{17} +(-23.7864 - 23.7864i) q^{18} +(-0.639170 - 1.10707i) q^{19} +(-6.96183 + 7.17865i) q^{20} +54.1825i q^{21} +(3.93668 - 14.6919i) q^{22} +(-1.57202 - 5.86687i) q^{23} +(-8.09771 + 14.0256i) q^{24} +(21.2572 - 13.1579i) q^{25} +(4.49392 + 17.8271i) q^{26} +(59.8680 + 59.8680i) q^{27} +(18.2804 - 4.89822i) q^{28} +(-1.45536 - 0.840250i) q^{29} +(28.1874 - 29.0653i) q^{30} -9.47101i q^{31} +(5.46410 + 1.46410i) q^{32} +(-15.9390 + 59.4853i) q^{33} +31.4603 q^{34} +(-47.3076 + 0.725373i) q^{35} +(23.7864 - 41.1993i) q^{36} +(-1.04226 - 3.88977i) q^{37} +(1.27834 - 1.27834i) q^{38} +(-18.1952 - 72.1792i) q^{39} +(-12.3544 - 6.88247i) q^{40} +(44.6273 + 25.7656i) q^{41} +(-74.0146 + 19.8322i) q^{42} +(26.8571 + 7.19635i) q^{43} +21.5104 q^{44} +(-82.7985 + 85.3771i) q^{45} +(7.43889 - 4.29484i) q^{46} +(19.1125 - 19.1125i) q^{47} +(-22.1233 - 5.92793i) q^{48} +(35.1099 + 20.2707i) q^{49} +(25.7547 + 24.2218i) q^{50} -127.378 q^{51} +(-22.7074 + 12.6640i) q^{52} +(28.6938 - 28.6938i) q^{53} +(-59.8680 + 103.694i) q^{54} +(-52.1510 - 13.1203i) q^{55} +(13.3822 + 23.1786i) q^{56} +(-5.17581 + 5.17581i) q^{57} +(0.615106 - 2.29561i) q^{58} +(33.4478 + 57.9332i) q^{59} +(50.0212 + 27.8661i) q^{60} +(-55.5573 - 96.2281i) q^{61} +(12.9376 - 3.46663i) q^{62} +(217.413 - 58.2555i) q^{63} +8.00000i q^{64} +(62.7772 - 16.8528i) q^{65} -87.0925 q^{66} +(2.81667 + 10.5120i) q^{67} +(11.5153 + 42.9756i) q^{68} +(-30.1190 + 17.3892i) q^{69} +(-18.3067 - 64.3579i) q^{70} +(5.08817 - 2.93766i) q^{71} +(64.9857 + 17.4129i) q^{72} +(-26.4931 - 26.4931i) q^{73} +(4.93203 - 2.84751i) q^{74} +(-104.277 - 98.0704i) q^{75} +(2.21415 + 1.27834i) q^{76} +(71.9641 + 71.9641i) q^{77} +(91.9387 - 51.2745i) q^{78} +4.59103i q^{79} +(4.87959 - 19.3956i) q^{80} +(135.358 - 234.447i) q^{81} +(-18.8617 + 70.3929i) q^{82} +(35.2497 + 35.2497i) q^{83} +(-54.1825 - 93.8468i) q^{84} +(-1.70529 - 111.216i) q^{85} +39.3216i q^{86} +(-2.49047 + 9.29457i) q^{87} +(7.87336 + 29.3838i) q^{88} +(-30.9180 + 53.5516i) q^{89} +(-146.934 - 81.8546i) q^{90} +(-118.336 - 33.6006i) q^{91} +(8.58969 + 8.58969i) q^{92} +(-52.3826 + 14.0359i) q^{93} +(33.1038 + 19.1125i) q^{94} +(-4.58837 - 4.44979i) q^{95} -32.3908i q^{96} +(3.56308 + 0.954724i) q^{97} +(-14.8392 + 55.3806i) q^{98} +255.828 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 14 q^{2} + 8 q^{5} + 4 q^{7} - 56 q^{8} - 48 q^{9} - 12 q^{10} - 12 q^{11} - 24 q^{13} + 10 q^{15} + 56 q^{16} + 50 q^{17} - 92 q^{18} - 36 q^{19} + 8 q^{20} + 12 q^{22} + 68 q^{23} - 6 q^{25} + 42 q^{26}+ \cdots + 16 q^{99}+O(q^{100}) $ 28 * q - 14 * q^2 + 8 * q^5 + 4 * q^7 - 56 * q^8 - 48 * q^9 - 12 * q^10 - 12 * q^11 - 24 * q^13 + 10 * q^15 + 56 * q^16 + 50 * q^17 - 92 * q^18 - 36 * q^19 + 8 * q^20 + 12 * q^22 + 68 * q^23 - 6 * q^25 + 42 * q^26 - 24 * q^27 - 8 * q^28 + 186 * q^29 + 12 * q^30 + 56 * q^32 - 164 * q^33 - 20 * q^34 - 18 * q^35 + 92 * q^36 + 24 * q^37 + 72 * q^38 + 156 * q^39 - 20 * q^40 + 48 * q^41 - 204 * q^42 + 80 * q^43 + 26 * q^45 - 96 * q^46 + 104 * q^47 + 96 * q^49 + 18 * q^50 - 336 * q^51 - 96 * q^52 + 126 * q^53 + 24 * q^54 - 502 * q^55 - 16 * q^56 + 160 * q^57 - 130 * q^58 + 80 * q^59 + 136 * q^60 - 336 * q^61 - 108 * q^62 + 396 * q^63 + 160 * q^65 - 64 * q^66 - 32 * q^67 + 100 * q^68 + 264 * q^69 + 200 * q^70 - 60 * q^71 + 188 * q^72 - 286 * q^73 + 6 * q^74 - 684 * q^75 + 24 * q^76 + 424 * q^77 + 128 * q^78 + 40 * q^80 + 86 * q^81 + 42 * q^82 - 64 * q^83 - 96 * q^84 + 356 * q^85 + 384 * q^87 + 24 * q^88 - 348 * q^89 - 294 * q^90 + 192 * q^91 + 80 * q^92 - 336 * q^93 + 432 * q^94 - 446 * q^95 - 86 * q^97 - 82 * q^98 + 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.366025	+	1.36603i	0.183013	+	0.683013i
$2$	0.366025	+	1.36603i	0.183013	+	0.683013i
$3$	−1.48198	−	5.53084i	−0.493994	−	1.84361i	−0.535591	−	0.844477i	$-0.679911\pi$
$3$	−1.48198	−	5.53084i	−0.493994	−	1.84361i	0.0415970	−	0.999134i	$-0.486755\pi$
$4$	−1.73205	+	1.00000i	−0.433013	+	0.250000i
$5$	4.80922	−	1.36799i	0.961844	−	0.273598i
$5$	4.80922	−	1.36799i	0.961844	−	0.273598i
$6$	7.01282	−	4.04885i	1.16880	−	0.674809i
$7$	−9.14020	−	2.44911i	−1.30574	−	0.349873i	−0.462124	−	0.886815i	$-0.652913\pi$
$7$	−9.14020	−	2.44911i	−1.30574	−	0.349873i	−0.843619	+	0.536943i	$0.819579\pi$
$8$	−2.00000	−	2.00000i	−0.250000	−	0.250000i
$9$	−20.5996	+	11.8932i	−2.28885	+	1.32147i
$10$	3.62900	+	6.06880i	0.362900	+	0.606880i
$11$	−9.31429	−	5.37761i	−0.846753	−	0.488873i	0.0128007	−	0.999918i	$-0.495925\pi$
$11$	−9.31429	−	5.37761i	−0.846753	−	0.488873i	−0.859554	+	0.511045i	$0.829259\pi$
$12$	8.09771	+	8.09771i	0.674809	+	0.674809i
$13$	12.9986	+	0.193180i	0.999890	+	0.0148600i
$13$	12.9986	+	0.193180i	0.999890	+	0.0148600i
$14$		−	13.3822i		−	0.955870i
$15$	−14.6933	−	24.5717i	−0.979553	−	1.63811i
$16$	2.00000	−	3.46410i	0.125000	−	0.216506i
$17$	5.75763	−	21.4878i	0.338684	−	1.26399i	−0.561135	−	0.827724i	$-0.689635\pi$
$17$	5.75763	−	21.4878i	0.338684	−	1.26399i	0.899819	−	0.436263i	$-0.143698\pi$
$18$	−23.7864	−	23.7864i	−1.32147	−	1.32147i
$19$	−0.639170	−	1.10707i	−0.0336405	−	0.0582671i	0.848715	−	0.528851i	$-0.177377\pi$
$19$	−0.639170	−	1.10707i	−0.0336405	−	0.0582671i	−0.882355	+	0.470583i	$0.844043\pi$
$20$	−6.96183	+	7.17865i	−0.348091	+	0.358932i
$21$			54.1825i			2.58012i
$22$	3.93668	−	14.6919i	0.178940	−	0.667813i
$23$	−1.57202	−	5.86687i	−0.0683488	−	0.255081i	0.923294	−	0.384094i	$-0.125486\pi$
$23$	−1.57202	−	5.86687i	−0.0683488	−	0.255081i	−0.991643	+	0.129012i	$0.958819\pi$
$24$	−8.09771	+	14.0256i	−0.337404	+	0.584402i
$25$	21.2572	−	13.1579i	0.850289	−	0.526316i
$26$	4.49392	+	17.8271i	0.172843	+	0.685657i
$27$	59.8680	+	59.8680i	2.21733	+	2.21733i
$28$	18.2804	−	4.89822i	0.652871	−	0.174936i
$29$	−1.45536	−	0.840250i	−0.0501847	−	0.0289742i	0.474698	−	0.880149i	$-0.342557\pi$
$29$	−1.45536	−	0.840250i	−0.0501847	−	0.0289742i	−0.524882	+	0.851175i	$0.675891\pi$
$30$	28.1874	−	29.0653i	0.939580	−	0.968843i
$31$		−	9.47101i		−	0.305517i	−0.988264	−	0.152758i	$-0.951184\pi$
$31$		−	9.47101i		−	0.305517i	0.988264	−	0.152758i	$-0.0488156\pi$
$32$	5.46410	+	1.46410i	0.170753	+	0.0457532i
$33$	−15.9390	+	59.4853i	−0.483001	+	1.80259i
$34$	31.4603			0.925303
$35$	−47.3076	+	0.725373i	−1.35165	+	0.0207249i
$36$	23.7864	−	41.1993i	0.660734	−	1.14442i
$37$	−1.04226	−	3.88977i	−0.0281692	−	0.105129i	0.950410	−	0.311000i	$-0.100664\pi$
$37$	−1.04226	−	3.88977i	−0.0281692	−	0.105129i	−0.978579	+	0.205871i	$0.933997\pi$
$38$	1.27834	−	1.27834i	0.0336405	−	0.0336405i
$39$	−18.1952	−	72.1792i	−0.466544	−	1.85075i
$40$	−12.3544	−	6.88247i	−0.308860	−	0.172062i
$41$	44.6273	+	25.7656i	1.08847	+	0.628429i	0.933169	−	0.359438i	$-0.117031\pi$
$41$	44.6273	+	25.7656i	1.08847	+	0.628429i	0.155302	+	0.987867i	$0.450365\pi$
$42$	−74.0146	+	19.8322i	−1.76225	+	0.472194i
$43$	26.8571	+	7.19635i	0.624584	+	0.167357i	0.557211	−	0.830371i	$-0.311871\pi$
$43$	26.8571	+	7.19635i	0.624584	+	0.167357i	0.0673734	+	0.997728i	$0.478538\pi$
$44$	21.5104			0.488873
$45$	−82.7985	+	85.3771i	−1.83997	+	1.89727i
$46$	7.43889	−	4.29484i	0.161715	−	0.0933662i
$47$	19.1125	−	19.1125i	0.406649	−	0.406649i	−0.473919	−	0.880568i	$-0.657161\pi$
$47$	19.1125	−	19.1125i	0.406649	−	0.406649i	0.880568	+	0.473919i	$0.157161\pi$
$48$	−22.1233	−	5.92793i	−0.460903	−	0.123499i
$49$	35.1099	+	20.2707i	0.716528	+	0.413688i
$50$	25.7547	+	24.2218i	0.515094	+	0.484435i
$51$	−127.378			−2.49761
$52$	−22.7074	+	12.6640i	−0.436680	+	0.243538i
$53$	28.6938	−	28.6938i	0.541393	−	0.541393i	−0.382544	−	0.923937i	$-0.624952\pi$
$53$	28.6938	−	28.6938i	0.541393	−	0.541393i	0.923937	+	0.382544i	$0.124952\pi$
$54$	−59.8680	+	103.694i	−1.10867	+	1.92027i
$55$	−52.1510	−	13.1203i	−0.948199	−	0.238550i
$56$	13.3822	+	23.1786i	0.238968	+	0.413904i
$57$	−5.17581	+	5.17581i	−0.0908036	+	0.0908036i
$58$	0.615106	−	2.29561i	0.0106053	−	0.0395794i
$59$	33.4478	+	57.9332i	0.566911	+	0.981919i	0.996869	+	0.0790703i	$0.0251952\pi$
$59$	33.4478	+	57.9332i	0.566911	+	0.981919i	−0.429958	+	0.902849i	$0.641472\pi$
$60$	50.0212	+	27.8661i	0.833687	+	0.464435i
$61$	−55.5573	−	96.2281i	−0.910776	−	1.57751i	−0.812971	−	0.582304i	$-0.802151\pi$
$61$	−55.5573	−	96.2281i	−0.910776	−	1.57751i	−0.0978047	−	0.995206i	$-0.531182\pi$
$62$	12.9376	−	3.46663i	0.208672	−	0.0559134i
$63$	217.413	−	58.2555i	3.45099	−	0.924691i
$64$			8.00000i			0.125000i
$65$	62.7772	−	16.8528i	0.965804	−	0.259274i
$66$	−87.0925			−1.31958
$67$	2.81667	+	10.5120i	0.0420398	+	0.156895i	0.983755	−	0.179517i	$-0.0574534\pi$
$67$	2.81667	+	10.5120i	0.0420398	+	0.156895i	−0.941715	+	0.336411i	$0.890787\pi$
$68$	11.5153	+	42.9756i	0.169342	+	0.631993i
$69$	−30.1190	+	17.3892i	−0.436507	+	0.252017i
$70$	−18.3067	−	64.3579i	−0.261524	−	0.919398i
$71$	5.08817	−	2.93766i	0.0716644	−	0.0413755i	−0.463740	−	0.885972i	$-0.653493\pi$
$71$	5.08817	−	2.93766i	0.0716644	−	0.0413755i	0.535404	+	0.844596i	$0.320159\pi$
$72$	64.9857	+	17.4129i	0.902579	+	0.241845i
$73$	−26.4931	−	26.4931i	−0.362920	−	0.362920i	0.501967	−	0.864887i	$-0.332610\pi$
$73$	−26.4931	−	26.4931i	−0.362920	−	0.362920i	−0.864887	+	0.501967i	$0.832610\pi$
$74$	4.93203	−	2.84751i	0.0666491	−	0.0384799i
$75$	−104.277	−	98.0704i	−1.39036	−	1.30761i
$76$	2.21415	+	1.27834i	0.0291335	+	0.0168203i
$77$	71.9641	+	71.9641i	0.934599	+	0.934599i
$78$	91.9387	−	51.2745i	1.17870	−	0.657366i
$79$			4.59103i			0.0581143i	0.999578	+	0.0290572i	$0.00925049\pi$
$79$			4.59103i			0.0581143i	−0.999578	+	0.0290572i	$0.990750\pi$
$80$	4.87959	−	19.3956i	0.0609949	−	0.242445i
$81$	135.358	−	234.447i	1.67108	−	2.89440i
$82$	−18.8617	+	70.3929i	−0.230021	+	0.858451i
$83$	35.2497	+	35.2497i	0.424695	+	0.424695i	0.886817	−	0.462122i	$-0.152912\pi$
$83$	35.2497	+	35.2497i	0.424695	+	0.424695i	−0.462122	+	0.886817i	$0.652912\pi$
$84$	−54.1825	−	93.8468i	−0.645030	−	1.11722i
$85$	−1.70529	−	111.216i	−0.0200622	−	1.30842i
$86$			39.3216i			0.457227i
$87$	−2.49047	+	9.29457i	−0.0286261	+	0.106834i
$88$	7.87336	+	29.3838i	0.0894700	+	0.333907i
$89$	−30.9180	+	53.5516i	−0.347393	+	0.601703i	−0.985786	−	0.168008i	$-0.946266\pi$
$89$	−30.9180	+	53.5516i	−0.347393	+	0.601703i	0.638392	+	0.769711i	$0.279600\pi$
$90$	−146.934	−	81.8546i	−1.63260	−	0.909496i
$91$	−118.336	−	33.6006i	−1.30040	−	0.369237i
$92$	8.58969	+	8.58969i	0.0933662	+	0.0933662i
$93$	−52.3826	+	14.0359i	−0.563254	+	0.150923i
$94$	33.1038	+	19.1125i	0.352168	+	0.203324i
$95$	−4.58837	−	4.44979i	−0.0482986	−	0.0468399i
$96$		−	32.3908i		−	0.337404i
$97$	3.56308	+	0.954724i	0.0367328	+	0.00984251i	0.277139	−	0.960830i	$-0.410614\pi$
$97$	3.56308	+	0.954724i	0.0367328	+	0.00984251i	−0.240406	+	0.970672i	$0.577281\pi$
$98$	−14.8392	+	55.3806i	−0.151420	+	0.565108i
$99$	255.828			2.58412
$100$	−23.6607	+	44.0474i	−0.236607	+	0.440474i
$101$	−63.0678	+	109.237i	−0.624433	+	1.08155i	0.364217	+	0.931314i	$0.381337\pi$
$101$	−63.0678	+	109.237i	−0.624433	+	1.08155i	−0.988650	+	0.150236i	$0.951997\pi$
$102$	−46.6236	−	174.002i	−0.457094	−	1.70590i
$103$	63.1318	−	63.1318i	0.612930	−	0.612930i	−0.330778	−	0.943709i	$-0.607311\pi$
$103$	63.1318	−	63.1318i	0.612930	−	0.612930i	0.943709	+	0.330778i	$0.107311\pi$
$104$	−25.6108	−	26.3835i	−0.246257	−	0.253687i
$105$	74.1210	+	260.576i	0.705914	+	2.48167i
$106$	49.6991	+	28.6938i	0.468860	+	0.270696i
$107$	−46.0640	+	12.3428i	−0.430505	+	0.115353i	−0.467563	−	0.883960i	$-0.654868\pi$
$107$	−46.0640	+	12.3428i	−0.430505	+	0.115353i	0.0370584	+	0.999313i	$0.488201\pi$
$108$	−163.562	−	43.8264i	−1.51447	−	0.405800i
$109$	−145.298			−1.33301			−0.666503	−	0.745502i	$-0.732210\pi$
$109$	−145.298			−1.33301			−0.666503	+	0.745502i	$0.732210\pi$
$110$	−1.16596	−	76.0419i	−0.0105996	−	0.691290i
$111$	−19.9691	+	11.5292i	−0.179902	+	0.103866i
$112$	−26.7644	+	26.7644i	−0.238968	+	0.238968i
$113$	−164.676	−	44.1247i	−1.45731	−	0.390484i	−0.558747	−	0.829338i	$-0.688718\pi$
$113$	−164.676	−	44.1247i	−1.45731	−	0.390484i	−0.898558	+	0.438854i	$0.855385\pi$
$114$	−8.96476	−	5.17581i	−0.0786382	−	0.0454018i
$115$	−15.5860	−	26.0646i	−0.135530	−	0.226648i
$116$	3.36100			0.0289742
$117$	−270.063	+	150.615i	−2.30823	+	1.28731i
$118$	−66.8955	+	66.8955i	−0.566911	+	0.566911i
$119$	−105.252	+	182.302i	−0.884469	+	1.53195i
$120$	−19.7568	+	78.5300i	−0.164640	+	0.654416i
$121$	−2.66271	−	4.61194i	−0.0220058	−	0.0381152i
$122$	111.115	−	111.115i	0.910776	−	0.910776i
$123$	76.3684	−	285.011i	0.620881	−	2.31716i
$124$	9.47101	+	16.4043i	0.0763791	+	0.132293i
$125$	84.2308	−	92.3589i	0.673846	−	0.738871i
$126$	159.157	+	275.668i	1.26315	+	2.18784i
$127$	−19.6137	+	5.25548i	−0.154439	+	0.0413817i	−0.335210	−	0.942143i	$-0.608807\pi$
$127$	−19.6137	+	5.25548i	−0.154439	+	0.0413817i	0.180771	+	0.983525i	$0.442141\pi$
$128$	−10.9282	+	2.92820i	−0.0853766	+	0.0228766i
$129$		−	159.207i		−	1.23416i
$130$	45.9995	+	79.5867i	0.353842	+	0.612206i
$131$	158.906			1.21302			0.606512	−	0.795075i	$-0.292568\pi$
$131$	158.906			1.21302			0.606512	+	0.795075i	$0.292568\pi$
$132$	−31.8781	−	118.971i	−0.241501	−	0.901293i
$133$	3.13079	+	11.6843i	0.0235398	+	0.0878517i
$134$	−13.3286	+	7.69528i	−0.0994673	+	0.0574275i
$135$	369.817	+	206.020i	2.73939	+	1.52607i
$136$	−54.4908	+	31.4603i	−0.400668	+	0.231326i
$137$	−51.6905	−	13.8504i	−0.377303	−	0.101098i	0.0651835	−	0.997873i	$-0.479237\pi$
$137$	−51.6905	−	13.8504i	−0.377303	−	0.101098i	−0.442486	+	0.896775i	$0.645903\pi$
$138$	−34.7784	−	34.7784i	−0.252017	−	0.252017i
$139$	228.938	−	132.177i	1.64704	−	0.950917i	0.668795	−	0.743447i	$-0.266810\pi$
$139$	228.938	−	132.177i	1.64704	−	0.950917i	0.978241	−	0.207470i	$-0.0665229\pi$
$140$	81.2138	−	48.5640i	0.580098	−	0.346886i
$141$	−134.032	−	77.3837i	−0.950585	−	0.548820i
$142$	5.87531	+	5.87531i	0.0413755	+	0.0413755i
$143$	−120.034	−	71.7005i	−0.839395	−	0.501402i
$144$			95.1457i			0.660734i
$145$	−8.14858	−	2.05004i	−0.0561971	−	0.0141382i
$146$	26.4931	−	45.8875i	0.181460	−	0.314298i
$147$	60.0816	−	224.228i	0.408719	−	1.52536i
$148$	5.69502	+	5.69502i	0.0384799	+	0.0384799i
$149$	102.289	+	177.170i	0.686504	+	1.18906i	0.972961	+	0.230968i	$0.0741891\pi$
$149$	102.289	+	177.170i	0.686504	+	1.18906i	−0.286457	+	0.958093i	$0.592478\pi$
$150$	95.7986	−	178.341i	0.638657	−	1.18894i
$151$			140.695i			0.931754i	0.884850	+	0.465877i	$0.154261\pi$
$151$			140.695i			0.931754i	−0.884850	+	0.465877i	$0.845739\pi$
$152$	−0.935809	+	3.49249i	−0.00615664	+	0.0229769i
$153$	136.953	+	511.117i	0.895121	+	3.34064i
$154$	−71.9641	+	124.645i	−0.467299	+	0.809386i
$155$	−12.9562	−	45.5482i	−0.0835886	−	0.293859i
$156$	103.694	+	106.823i	0.664707	+	0.684762i
$157$	−87.9079	−	87.9079i	−0.559923	−	0.559923i	0.369363	−	0.929285i	$-0.379576\pi$
$157$	−87.9079	−	87.9079i	−0.559923	−	0.559923i	−0.929285	+	0.369363i	$0.879576\pi$
$158$	−6.27147	+	1.68043i	−0.0396928	+	0.0106357i
$159$	−201.224	−	116.177i	−1.26556	−	0.730673i
$160$	28.2809	−	0.433635i	0.176756	−	0.00271022i
$161$			57.4744i			0.356984i
$162$	369.805	+	99.0888i	2.28274	+	0.611659i
$163$	40.3478	−	150.580i	0.247532	−	0.923804i	−0.724561	−	0.689210i	$-0.757958\pi$
$163$	40.3478	−	150.580i	0.247532	−	0.923804i	0.972094	−	0.234593i	$-0.0753758\pi$
$164$	−103.062			−0.628429
$165$	4.72080	+	307.882i	0.0286109	+	1.86595i
$166$	−35.2497	+	61.0543i	−0.212348	+	0.367797i
$167$	38.6814	+	144.361i	0.231625	+	0.864438i	0.979641	+	0.200757i	$0.0643401\pi$
$167$	38.6814	+	144.361i	0.231625	+	0.864438i	−0.748016	+	0.663681i	$0.768993\pi$
$168$	108.365	−	108.365i	0.645030	−	0.645030i
$169$	168.925	+	5.02213i	0.999558	+	0.0297167i
$170$	151.300	−	43.0373i	0.889997	−	0.253161i
$171$	26.3333	+	15.2036i	0.153996	+	0.0889097i
$172$	−53.7143	+	14.3927i	−0.312292	+	0.0836784i
$173$	8.46197	+	2.26738i	0.0489131	+	0.0131062i	0.283193	−	0.959063i	$-0.408606\pi$
$173$	8.46197	+	2.26738i	0.0489131	+	0.0131062i	−0.234280	+	0.972169i	$0.575273\pi$
$174$	−13.6082			−0.0782080
$175$	−226.520	+	68.2047i	−1.29440	+	0.389741i
$176$	−37.2571	+	21.5104i	−0.211688	+	0.122218i
$177$	270.850	−	270.850i	1.53023	−	1.53023i
$178$	−84.4696	−	22.6336i	−0.474548	−	0.127155i
$179$	67.2238	+	38.8117i	0.375552	+	0.216825i	0.675881	−	0.737011i	$-0.263763\pi$
$179$	67.2238	+	38.8117i	0.375552	+	0.216825i	−0.300329	+	0.953836i	$0.597097\pi$
$180$	58.0340	−	230.676i	0.322411	−	1.28153i
$181$	−67.2118			−0.371336			−0.185668	−	0.982613i	$-0.559445\pi$
$181$	−67.2118			−0.371336			−0.185668	+	0.982613i	$0.559445\pi$
$182$	2.58517	−	173.949i	0.0142042	−	0.955765i
$183$	−449.887	+	449.887i	−2.45840	+	2.45840i
$184$	−8.58969	+	14.8778i	−0.0466831	+	0.0808575i
$185$	−10.3336	−	17.2810i	−0.0558574	−	0.0934107i
$186$	−38.3467	−	66.4185i	−0.206165	−	0.357089i
$187$	−169.181	+	169.181i	−0.904712	+	0.904712i
$188$	−13.9913	+	52.2163i	−0.0744219	+	0.277746i
$189$	−400.582	−	693.829i	−2.11948	−	3.67105i
$190$	4.39906	−	7.89657i	0.0231530	−	0.0415609i
$191$	77.7526	+	134.671i	0.407082	+	0.705086i	0.994561	−	0.104153i	$-0.0332131\pi$
$191$	77.7526	+	134.671i	0.407082	+	0.705086i	−0.587480	+	0.809239i	$0.699880\pi$
$192$	44.2467	−	11.8559i	0.230451	−	0.0617493i
$193$	−106.440	+	28.5204i	−0.551501	+	0.147774i	−0.523799	−	0.851842i	$-0.675486\pi$
$193$	−106.440	+	28.5204i	−0.551501	+	0.147774i	−0.0277019	+	0.999616i	$0.508819\pi$
$194$			5.21671i			0.0268902i
$195$	−186.245	−	322.235i	−0.955103	−	1.65249i
$196$	−81.0828			−0.413688
$197$	13.9845	+	52.1908i	0.0709872	+	0.264928i	0.992293	−	0.123910i	$-0.0395433\pi$
$197$	13.9845	+	52.1908i	0.0709872	+	0.264928i	−0.921306	+	0.388838i	$0.872877\pi$
$198$	93.6395	+	349.467i	0.472927	+	1.76499i
$199$	−86.1019	+	49.7110i	−0.432673	+	0.249804i	−0.700485	−	0.713667i	$-0.747033\pi$
$199$	−86.1019	+	49.7110i	−0.432673	+	0.249804i	0.267812	+	0.963471i	$0.413699\pi$
$200$	−68.8303	−	16.1986i	−0.344151	−	0.0809931i
$201$	53.9656	−	31.1571i	0.268486	−	0.155010i
$202$	−172.304	−	46.1688i	−0.852992	−	0.228558i
$203$	11.2444	+	11.2444i	0.0553911	+	0.0553911i
$204$	220.625	−	127.378i	1.08150	−	0.624402i
$205$	249.870	+	62.8628i	1.21888	+	0.306648i
$206$	109.348	+	63.1318i	0.530813	+	0.306465i
$207$	102.159	+	102.159i	0.493521	+	0.493521i
$208$	26.6663	−	44.6420i	0.128203	−	0.214625i
$209$			13.7488i			0.0657838i
$210$	−328.823	+	196.628i	−1.56582	+	0.936326i
$211$	−187.438	+	324.653i	−0.888334	+	1.53864i	−0.0464896	+	0.998919i	$0.514803\pi$
$211$	−187.438	+	324.653i	−0.888334	+	1.53864i	−0.841844	+	0.539721i	$0.818530\pi$
$212$	−21.0053	+	78.3929i	−0.0990817	+	0.369778i
$213$	−23.7883	−	23.7883i	−0.111682	−	0.111682i
$214$	−33.7212	−	58.4068i	−0.157576	−	0.272929i
$215$	139.006	−	2.13140i	0.646541	−	0.00991350i
$216$		−	239.472i		−	1.10867i
$217$	−23.1955	+	86.5669i	−0.106892	+	0.398926i
$218$	−53.1826	−	198.480i	−0.243957	−	0.910460i
$219$	−107.267	+	185.792i	−0.489803	+	0.848363i
$220$	103.448	−	29.4260i	0.470220	−	0.133755i
$221$	78.9920	−	278.198i	0.357430	−	1.25881i
$222$	−23.0583	−	23.0583i	−0.103866	−	0.103866i
$223$	362.842	−	97.2233i	1.62710	−	0.435979i	0.674020	−	0.738713i	$-0.264566\pi$
$223$	362.842	−	97.2233i	1.62710	−	0.435979i	0.953075	+	0.302734i	$0.0978993\pi$
$224$	−46.3572	−	26.7644i	−0.206952	−	0.119484i
$225$	−281.401	+	523.865i	−1.25067	+	2.32829i
$226$		−	241.102i		−	1.06682i
$227$	−308.283	−	82.6042i	−1.35807	−	0.363895i	−0.494965	−	0.868913i	$-0.664819\pi$
$227$	−308.283	−	82.6042i	−1.35807	−	0.363895i	−0.863109	+	0.505018i	$0.831486\pi$
$228$	3.78895	−	14.1406i	0.0166182	−	0.0620200i
$229$	238.311			1.04066			0.520330	−	0.853965i	$-0.325809\pi$
$229$	238.311			1.04066			0.520330	+	0.853965i	$0.325809\pi$
$230$	29.9000	−	30.8312i	0.130000	−	0.134049i
$231$	291.372	−	504.671i	1.26135	−	2.18472i
$232$	1.23021	+	4.59121i	0.00530264	+	0.0197897i
$233$	244.087	−	244.087i	1.04758	−	1.04758i	0.0487732	−	0.998810i	$-0.484469\pi$
$233$	244.087	−	244.087i	1.04758	−	1.04758i	0.998810	−	0.0487732i	$-0.0155311\pi$
$234$	−304.594	−	313.784i	−1.30168	−	1.34096i
$235$	65.7706	−	118.062i	0.279875	−	0.502391i
$236$	−115.866	−	66.8955i	−0.490960	−	0.283456i
$237$	25.3922	−	6.80383i	0.107140	−	0.0287081i
$238$	−287.553	−	77.0497i	−1.20821	−	0.323738i
$239$	321.683			1.34595			0.672977	−	0.739663i	$-0.265015\pi$
$239$	321.683			1.34595			0.672977	+	0.739663i	$0.265015\pi$
$240$	−114.505	+	1.75573i	−0.477106	+	0.00731552i
$241$	280.135	−	161.736i	1.16239	−	0.671105i	0.210513	−	0.977591i	$-0.432487\pi$
$241$	280.135	−	161.736i	1.16239	−	0.671105i	0.951875	+	0.306486i	$0.0991533\pi$
$242$	5.32541	−	5.32541i	0.0220058	−	0.0220058i
$243$	−761.253	−	203.977i	−3.13273	−	0.839412i
$244$	192.456	+	111.115i	0.788755	+	0.455388i
$245$	196.581	+	49.4564i	0.802372	+	0.201863i
$246$	417.285			1.69628
$247$	−8.09442	−	14.5138i	−0.0327709	−	0.0587605i
$248$	−18.9420	+	18.9420i	−0.0763791	+	0.0763791i
$249$	142.721	−	247.200i	0.573176	−	0.992770i
$250$	156.995	+	81.2557i	0.627981	+	0.325023i
$251$	−23.9973	−	41.5646i	−0.0956069	−	0.165596i	0.814255	−	0.580508i	$-0.197146\pi$
$251$	−23.9973	−	41.5646i	−0.0956069	−	0.165596i	−0.909862	+	0.414912i	$0.863813\pi$
$252$	−318.314	+	318.314i	−1.26315	+	1.26315i
$253$	−16.9074	+	63.0994i	−0.0668278	+	0.249405i
$254$	−14.3582	−	24.8692i	−0.0565285	−	0.0979102i
$255$	−612.589	+	174.252i	−2.40231	+	0.683340i
$256$	−8.00000	−	13.8564i	−0.0312500	−	0.0541266i
$257$	177.431	−	47.5426i	0.690395	−	0.184991i	0.103471	−	0.994633i	$-0.467005\pi$
$257$	177.431	−	47.5426i	0.690395	−	0.184991i	0.586924	+	0.809642i	$0.300339\pi$
$258$	217.481	−	58.2739i	0.842950	−	0.225868i
$259$			38.1059i			0.147127i
$260$	−91.8805	+	91.9672i	−0.353387	+	0.353720i
$261$	39.9731			0.153154
$262$	58.1637	+	217.070i	0.221999	+	0.828510i
$263$	−48.3082	−	180.289i	−0.183681	−	0.685508i	−0.994909	−	0.100777i	$-0.967867\pi$
$263$	−48.3082	−	180.289i	−0.183681	−	0.685508i	0.811228	−	0.584730i	$-0.198800\pi$
$264$	150.849	−	87.0925i	0.571397	−	0.329896i
$265$	98.7421	−	177.248i	0.372612	−	0.668859i
$266$	−14.8151	+	8.55348i	−0.0556957	+	0.0321560i
$267$	342.005	+	91.6399i	1.28092	+	0.343221i
$268$	−15.3906	−	15.3906i	−0.0574275	−	0.0574275i
$269$	214.275	−	123.712i	0.796561	−	0.459895i	−0.0457064	−	0.998955i	$-0.514554\pi$
$269$	214.275	−	123.712i	0.796561	−	0.459895i	0.842267	+	0.539060i	$0.181221\pi$
$270$	−146.066	+	580.588i	−0.540984	+	2.15033i
$271$	−198.642	−	114.686i	−0.732997	−	0.423196i	0.0865208	−	0.996250i	$-0.472425\pi$
$271$	−198.642	−	114.686i	−0.732997	−	0.423196i	−0.819517	+	0.573054i	$0.805758\pi$
$272$	−62.9206	−	62.9206i	−0.231326	−	0.231326i
$273$	−10.4670	+	704.294i	−0.0383406	+	2.57983i
$274$		−	75.6801i		−	0.276205i
$275$	−268.754	+	8.24361i	−0.977287	+	0.0299768i
$276$	34.7784	−	60.2379i	0.126009	−	0.218253i
$277$	−51.5254	+	192.295i	−0.186012	+	0.694207i	0.808399	+	0.588635i	$0.200334\pi$
$277$	−51.5254	+	192.295i	−0.186012	+	0.694207i	−0.994412	+	0.105573i	$0.966332\pi$
$278$	264.355	+	264.355i	0.950917	+	0.950917i
$279$	112.641	+	195.099i	0.403730	+	0.699281i
$280$	96.0659	+	93.1644i	0.343093	+	0.332730i
$281$			508.362i			1.80912i	0.426350	+	0.904558i	$0.359799\pi$
$281$			508.362i			1.80912i	−0.426350	+	0.904558i	$0.640201\pi$
$282$	56.6488	−	211.416i	0.200882	−	0.749703i
$283$	−59.4296	−	221.794i	−0.209999	−	0.783725i	−0.987868	−	0.155299i	$-0.950366\pi$
$283$	−59.4296	−	221.794i	−0.209999	−	0.783725i	0.777869	−	0.628427i	$-0.216301\pi$
$284$	−5.87531	+	10.1763i	−0.0206877	+	0.0358322i
$285$	−17.8112	+	31.9720i	−0.0624953	+	0.112183i
$286$	54.0094	−	190.213i	0.188844	−	0.665081i
$287$	−344.800	−	344.800i	−1.20139	−	1.20139i
$288$	−129.971	+	34.8257i	−0.451290	+	0.120923i
$289$	−178.293	−	102.937i	−0.616931	−	0.356185i
$290$	−0.182181	−	11.8815i	−0.000628211	−	0.0409708i
$291$		−	21.1217i		−	0.0725831i
$292$	72.3806	+	19.3943i	0.247879	+	0.0664189i
$293$	−109.894	+	410.129i	−0.375064	+	1.39976i	0.478186	+	0.878258i	$0.341294\pi$
$293$	−109.894	+	410.129i	−0.375064	+	1.39976i	−0.853251	+	0.521501i	$0.825372\pi$
$294$	328.292			1.11664
$295$	240.110	+	232.858i	0.813931	+	0.789348i
$296$	−5.69502	+	9.86407i	−0.0192399	+	0.0333246i
$297$	−235.681	−	879.574i	−0.793540	−	2.96153i
$298$	−204.578	+	204.578i	−0.686504	+	0.686504i
$299$	−19.3007	−	76.5645i	−0.0645507	−	0.256069i
$300$	278.684	+	65.5858i	0.928945	+	0.218619i
$301$	−227.855	−	131.552i	−0.756993	−	0.437050i
$302$	−192.193	+	51.4979i	−0.636400	+	0.170523i
$303$	697.635	+	186.931i	2.30243	+	0.616933i
$304$	−5.11336			−0.0168203
$305$	−398.826	−	386.780i	−1.30763	−	1.26813i
$306$	−648.071	+	374.164i	−2.11788	+	1.22276i
$307$	188.905	−	188.905i	0.615324	−	0.615324i	−0.329004	−	0.944328i	$-0.606713\pi$
$307$	188.905	−	188.905i	0.615324	−	0.615324i	0.944328	+	0.329004i	$0.106713\pi$
$308$	−196.610	−	52.6814i	−0.638343	−	0.171043i
$309$	−442.732	−	255.612i	−1.43279	−	0.827222i
$310$	57.4777	−	34.3703i	0.185412	−	0.110872i
$311$	−473.159			−1.52141			−0.760706	−	0.649097i	$-0.775147\pi$
$311$	−473.159			−1.52141			−0.760706	+	0.649097i	$0.775147\pi$
$312$	−107.968	+	180.749i	−0.346051	+	0.579323i
$313$	235.894	−	235.894i	0.753655	−	0.753655i	−0.221505	−	0.975159i	$-0.571097\pi$
$313$	235.894	−	235.894i	0.753655	−	0.753655i	0.975159	+	0.221505i	$0.0710968\pi$
$314$	87.9079	−	152.261i	0.279961	−	0.484907i
$315$	965.892	−	577.581i	3.06632	−	1.83359i
$316$	−4.59103	−	7.95190i	−0.0145286	−	0.0251642i
$317$	211.063	−	211.063i	0.665814	−	0.665814i	−0.290930	−	0.956744i	$-0.593965\pi$
$317$	211.063	−	211.063i	0.665814	−	0.665814i	0.956744	+	0.290930i	$0.0939646\pi$
$318$	85.0475	−	317.401i	0.267445	−	0.998118i
$319$	9.03707	+	15.6527i	0.0283294	+	0.0490679i
$320$	10.9439	+	38.4738i	0.0341997	+	0.120231i
$321$	136.532	+	236.481i	0.425334	+	0.736700i
$322$	−78.5115	+	21.0371i	−0.243824	+	0.0653326i
$323$	−27.4687	+	7.36021i	−0.0850423	+	0.0227870i
$324$			541.431i			1.67108i
$325$	278.855	−	166.927i	0.858016	−	0.513623i
$326$	220.464			0.676271
$327$	215.329	+	803.618i	0.658498	+	2.45755i
$328$	−37.7235	−	140.786i	−0.115011	−	0.429225i
$329$	−221.501	+	127.883i	−0.673254	+	0.388704i
$330$	−418.847	+	119.142i	−1.26923	+	0.361035i
$331$	111.208	−	64.2061i	0.335976	−	0.193976i	−0.322515	−	0.946564i	$-0.604528\pi$
$331$	111.208	−	64.2061i	0.335976	−	0.193976i	0.658491	+	0.752588i	$0.271195\pi$
$332$	−96.3040	−	25.8046i	−0.290072	−	0.0777246i
$333$	67.7321	+	67.7321i	0.203400	+	0.203400i
$334$	−183.043	+	105.680i	−0.548032	+	0.316406i
$335$	27.9262	+	46.7011i	0.0833618	+	0.139406i
$336$	187.694	+	108.365i	0.558612	+	0.322515i
$337$	109.270	+	109.270i	0.324244	+	0.324244i	0.850393	−	0.526149i	$-0.176365\pi$
$337$	109.270	+	109.270i	0.324244	+	0.324244i	−0.526149	+	0.850393i	$0.676365\pi$
$338$	54.9706	+	232.595i	0.162635	+	0.688150i
$339$			976.185i			2.87960i
$340$	114.169	+	190.926i	0.335793	+	0.561548i
$341$	−50.9314	+	88.2157i	−0.149359	+	0.258697i
$342$	−11.1298	+	41.5369i	−0.0325432	+	0.121453i
$343$	56.5973	+	56.5973i	0.165007	+	0.165007i
$344$	−39.3216	−	68.1069i	−0.114307	−	0.197985i
$345$	−121.061	+	124.831i	−0.350900	+	0.361829i
$346$			12.3892i			0.0358069i
$347$	45.1128	−	168.363i	0.130008	−	0.485197i	−0.869960	−	0.493122i	$-0.835856\pi$
$347$	45.1128	−	168.363i	0.130008	−	0.485197i	0.999969	+	0.00792445i	$0.00252246\pi$
$348$	−4.98095	−	18.5891i	−0.0143131	−	0.0534171i
$349$	102.293	−	177.176i	0.293103	−	0.507669i	−0.681439	−	0.731875i	$-0.738646\pi$
$349$	102.293	−	177.176i	0.293103	−	0.507669i	0.974542	+	0.224206i	$0.0719788\pi$
$350$	−176.082	−	284.468i	−0.503090	−	0.812766i
$351$	766.633	+	789.763i	2.18414	+	2.25004i
$352$	−43.0208	−	43.0208i	−0.122218	−	0.122218i
$353$	282.136	−	75.5982i	0.799253	−	0.214159i	0.163997	−	0.986461i	$-0.447561\pi$
$353$	282.136	−	75.5982i	0.799253	−	0.214159i	0.635256	+	0.772302i	$0.280895\pi$
$354$	469.126	+	270.850i	1.32522	+	0.765114i
$355$	20.4515	−	21.0884i	0.0576098	−	0.0594039i
$356$		−	123.672i		−	0.347393i
$357$	1164.26	+	311.963i	3.26124	+	0.873845i
$358$	−28.4121	+	106.036i	−0.0793635	+	0.296189i
$359$	167.177			0.465674			0.232837	−	0.972516i	$-0.425199\pi$
$359$	167.177			0.465674			0.232837	+	0.972516i	$0.425199\pi$
$360$	336.351	−	5.15731i	0.934309	−	0.0143259i
$361$	179.683	−	311.220i	0.497737	−	0.862105i
$362$	−24.6012	−	91.8130i	−0.0679592	−	0.253627i
$363$	−21.5618	+	21.5618i	−0.0593989	+	0.0593989i
$364$	238.565	−	60.1384i	0.655399	−	0.165215i
$365$	−163.654	−	91.1691i	−0.448366	−	0.249778i
$366$	−779.227	−	449.887i	−2.12903	−	1.22920i
$367$	−494.309	+	132.450i	−1.34689	+	0.360898i	−0.858986	−	0.511999i	$-0.828905\pi$
$367$	−494.309	+	132.450i	−1.34689	+	0.360898i	−0.487905	+	0.872897i	$0.662239\pi$
$368$	−23.4675	−	6.28809i	−0.0637703	−	0.0170872i
$369$	−1225.74			−3.32180
$370$	19.8239	−	20.4413i	0.0535781	−	0.0552467i
$371$	−332.541	+	191.993i	−0.896338	+	0.517501i
$372$	76.6935	−	76.6935i	0.206165	−	0.206165i
$373$	−439.793	−	117.842i	−1.17907	−	0.315931i	−0.384513	−	0.923120i	$-0.625631\pi$
$373$	−439.793	−	117.842i	−1.17907	−	0.315931i	−0.794558	+	0.607188i	$0.792297\pi$
$374$	−293.030	−	169.181i	−0.783503	−	0.452356i
$375$	−635.651	−	328.992i	−1.69507	−	0.877313i
$376$	−76.4500			−0.203324
$377$	−18.7552	−	11.2032i	−0.0497486	−	0.0297167i
$378$	801.165	−	801.165i	2.11948	−	2.11948i
$379$	121.154	−	209.844i	0.319667	−	0.553679i	−0.660752	−	0.750605i	$-0.729762\pi$
$379$	121.154	−	209.844i	0.319667	−	0.553679i	0.980418	+	0.196925i	$0.0630957\pi$
$380$	12.3971	+	3.11889i	0.0326239	+	0.00820760i
$381$	58.1344	+	100.692i	0.152584	+	0.264283i
$382$	−155.505	+	155.505i	−0.407082	+	0.407082i
$383$	−37.9718	+	141.713i	−0.0991430	+	0.370007i	−0.997615	−	0.0690242i	$-0.978011\pi$
$383$	−37.9718	+	141.713i	−0.0991430	+	0.370007i	0.898472	+	0.439031i	$0.144678\pi$
$384$	32.3908	+	56.1025i	0.0843511	+	0.146100i
$385$	444.537	+	247.645i	1.15464	+	0.643234i
$386$	−77.9192	−	134.960i	−0.201863	−	0.349637i
$387$	−638.835	+	171.175i	−1.65074	+	0.442313i
$388$	−7.12616	+	1.90945i	−0.0183664	+	0.00492126i
$389$			703.661i			1.80890i	0.426582	+	0.904449i	$0.359718\pi$
$389$			703.661i			1.80890i	−0.426582	+	0.904449i	$0.640282\pi$
$390$	372.011	−	372.362i	0.953874	−	0.954773i
$391$	−135.117			−0.345568
$392$	−29.6784	−	110.761i	−0.0757101	−	0.282554i
$393$	−235.496	−	878.883i	−0.599227	−	2.23634i
$394$	−66.1753	+	38.2063i	−0.167958	+	0.0969704i
$395$	6.28048	+	22.0793i	0.0158999	+	0.0558969i
$396$	−443.107	+	255.828i	−1.11896	+	0.646030i
$397$	210.389	+	56.3735i	0.529946	+	0.141999i	0.513863	−	0.857872i	$-0.328214\pi$
$397$	210.389	+	56.3735i	0.529946	+	0.141999i	0.0160828	+	0.999871i	$0.494880\pi$
$398$	−99.4219	−	99.4219i	−0.249804	−	0.249804i
$399$	59.9840	−	34.6318i	0.150336	−	0.0867965i
$400$	−3.06590	−	99.9530i	−0.00766476	−	0.249882i
$401$	602.874	+	348.070i	1.50343	+	0.868004i	0.999992	+	0.00397127i	$0.00126410\pi$
$401$	602.874	+	348.070i	1.50343	+	0.868004i	0.503435	+	0.864033i	$0.332069\pi$
$402$	62.3141	+	62.3141i	0.155010	+	0.155010i
$403$	1.82961	−	123.110i	0.00453998	−	0.305483i
$404$		−	252.271i		−	0.624433i
$405$	330.246	−	1312.67i	0.815422	−	3.24117i
$406$	−11.2444	+	19.4758i	−0.0276955	+	0.0479701i
$407$	−11.2097	+	41.8353i	−0.0275424	+	0.102790i
$408$	254.756	+	254.756i	0.624402	+	0.624402i
$409$	350.975	+	607.906i	0.858129	+	1.48632i	0.873712	+	0.486444i	$0.161706\pi$
$409$	350.975	+	607.906i	0.858129	+	1.48632i	−0.0155826	+	0.999879i	$0.504960\pi$
$410$	5.58644	+	364.338i	0.0136255	+	0.888629i
$411$			306.417i			0.745541i
$412$	−46.2157	+	172.479i	−0.112174	+	0.418639i
$413$	−163.835	−	611.439i	−0.396694	−	1.48048i
$414$	−102.159	+	176.944i	−0.246761	+	0.427402i
$415$	217.745	+	121.302i	0.524686	+	0.292295i
$416$	70.7426	+	20.0868i	0.170054	+	0.0482855i
$417$	−1070.33	−	1070.33i	−2.56675	−	2.56675i
$418$	−18.7812	+	5.03241i	−0.0449312	+	0.0120393i
$419$	−503.791	−	290.864i	−1.20237	−	0.694186i	−0.241285	−	0.970454i	$-0.577569\pi$
$419$	−503.791	−	290.864i	−1.20237	−	0.694186i	−0.961080	+	0.276269i	$0.910902\pi$
$420$	−388.957	−	377.209i	−0.926088	−	0.898117i
$421$		−	360.258i		−	0.855721i	−0.903845	−	0.427860i	$-0.859268\pi$
$421$		−	360.258i		−	0.855721i	0.903845	−	0.427860i	$-0.140732\pi$
$422$	−512.091	−	137.214i	−1.21349	−	0.325153i
$423$	−166.402	+	621.019i	−0.393385	+	1.46813i
$424$	−114.775			−0.270696
$425$	−160.343	−	532.529i	−0.377278	−	1.25301i
$426$	23.7883	−	41.2025i	0.0558410	−	0.0967195i
$427$	272.132	+	1015.61i	0.637311	+	2.37848i
$428$	67.4424	−	67.4424i	0.157576	−	0.157576i
$429$	−218.676	+	770.145i	−0.509734	+	1.79521i
$430$	53.7914	+	189.106i	0.125096	+	0.439782i
$431$	417.479	+	241.032i	0.968629	+	0.559238i	0.898818	−	0.438322i	$-0.144427\pi$
$431$	417.479	+	241.032i	0.968629	+	0.559238i	0.0698108	+	0.997560i	$0.477760\pi$
$432$	327.125	−	87.6528i	0.757234	−	0.202900i
$433$	−226.676	−	60.7377i	−0.523501	−	0.140272i	−0.0126157	−	0.999920i	$-0.504016\pi$
$433$	−226.676	−	60.7377i	−0.523501	−	0.140272i	−0.510886	+	0.859649i	$0.670682\pi$
$434$	−126.743			−0.292034
$435$	0.737624	+	48.1066i	0.00169569	+	0.110590i
$436$	251.663	−	145.298i	0.577209	−	0.333252i
$437$	−5.49027	+	5.49027i	−0.0125635	+	0.0125635i
$438$	−293.058	−	78.5247i	−0.669083	−	0.179280i
$439$	311.341	+	179.753i	0.709204	+	0.409459i	0.810766	−	0.585370i	$-0.199051\pi$
$439$	311.341	+	179.753i	0.709204	+	0.409459i	−0.101562	+	0.994829i	$0.532384\pi$
$440$	78.0614	+	130.542i	0.177412	+	0.296687i
$441$	−964.334			−2.18670
$442$	408.939	+	6.07750i	0.925201	+	0.0137500i
$443$	−199.318	+	199.318i	−0.449929	+	0.449929i	−0.895331	−	0.445402i	$-0.853061\pi$
$443$	−199.318	+	199.318i	−0.449929	+	0.449929i	0.445402	+	0.895331i	$0.353061\pi$
$444$	23.0583	−	39.9382i	0.0519331	−	0.0899508i
$445$	−75.4337	+	299.837i	−0.169514	+	0.673791i
$446$	265.619	+	460.066i	0.595558	+	1.03154i
$447$	828.307	−	828.307i	1.85304	−	1.85304i
$448$	19.5929	−	73.1216i	0.0437341	−	0.163218i
$449$	−166.720	−	288.768i	−0.371314	−	0.643135i	0.618454	−	0.785821i	$-0.287759\pi$
$449$	−166.720	−	288.768i	−0.371314	−	0.643135i	−0.989768	+	0.142686i	$0.954426\pi$
$450$	−818.613	−	192.653i	−1.81914	−	0.428119i
$451$	−277.115	−	479.976i	−0.614445	−	1.06425i
$452$	329.351	−	88.2494i	0.728653	−	0.195242i
$453$	778.160	−	208.507i	1.71779	−	0.460281i
$454$		−	451.357i		−	0.994179i
$455$	−615.071	+	0.289921i	−1.35180	+	0.000637188i
$456$	20.7032			0.0454018
$457$	12.7213	+	47.4764i	0.0278365	+	0.103887i	0.978446	−	0.206501i	$-0.0662077\pi$
$457$	12.7213	+	47.4764i	0.0278365	+	0.103887i	−0.950610	+	0.310388i	$0.899541\pi$
$458$	87.2279	+	325.539i	0.190454	+	0.710784i
$459$	1631.13	−	941.732i	3.55366	−	2.05170i
$460$	53.0603	+	29.5591i	0.115348	+	0.0642590i
$461$	−210.116	+	121.311i	−0.455784	+	0.263147i	−0.710270	−	0.703930i	$-0.751427\pi$
$461$	−210.116	+	121.311i	−0.455784	+	0.263147i	0.254486	+	0.967076i	$0.418094\pi$
$462$	796.043	+	213.299i	1.72304	+	0.461686i
$463$	−544.140	−	544.140i	−1.17525	−	1.17525i	−0.980941	−	0.194307i	$-0.937754\pi$
$463$	−544.140	−	544.140i	−1.17525	−	1.17525i	−0.194307	−	0.980941i	$-0.562246\pi$
$464$	−5.82143	+	3.36100i	−0.0125462	+	0.00724354i
$465$	−232.719	+	139.160i	−0.500470	+	0.299270i
$466$	422.771	+	244.087i	0.907234	+	0.523792i
$467$	−53.0807	−	53.0807i	−0.113663	−	0.113663i	0.647988	−	0.761651i	$-0.275611\pi$
$467$	−53.0807	−	53.0807i	−0.113663	−	0.113663i	−0.761651	+	0.647988i	$0.775611\pi$
$468$	317.148	−	530.936i	0.677667	−	1.13448i
$469$		−	102.980i		−	0.219573i
$470$	185.349	+	46.6306i	0.394360	+	0.0992141i
$471$	−355.926	+	616.482i	−0.755682	+	1.30888i
$472$	48.9709	−	182.762i	0.103752	−	0.387208i
$473$	−211.456	−	211.456i	−0.447053	−	0.447053i
$474$	18.5884	+	32.1961i	0.0392161	+	0.0679242i
$475$	−28.1538	−	15.1232i	−0.0592711	−	0.0318383i
$476$		−	421.007i		−	0.884469i
$477$	−249.821	+	932.343i	−0.523733	+	1.95460i
$478$	117.744	+	439.427i	0.246327	+	0.919304i
$479$	−273.994	+	474.571i	−0.572012	+	0.990754i	0.424347	+	0.905500i	$0.360504\pi$
$479$	−273.994	+	474.571i	−0.572012	+	0.990754i	−0.996359	+	0.0852542i	$0.972830\pi$
$480$	−44.3102	−	155.775i	−0.0923130	−	0.324530i
$481$	−12.7965	−	50.7628i	−0.0266039	−	0.105536i
$482$	323.473	+	323.473i	0.671105	+	0.671105i
$483$	317.881	−	85.1761i	0.658140	−	0.176348i
$484$	9.22388	+	5.32541i	0.0190576	+	0.0110029i
$485$	18.4417	−	0.282769i	0.0380241	−	0.000583028i
$486$		−	1114.55i		−	2.29332i
$487$	−113.020	−	30.2836i	−0.232074	−	0.0621840i	0.140908	−	0.990023i	$-0.454998\pi$
$487$	−113.020	−	30.2836i	−0.232074	−	0.0621840i	−0.372982	+	0.927839i	$0.621665\pi$
$488$	−81.3416	+	303.571i	−0.166684	+	0.622071i
$489$	−892.628			−1.82541
$490$	4.39504	+	286.637i	0.00896948	+	0.584974i
$491$	166.770	−	288.854i	0.339654	−	0.588298i	−0.644714	−	0.764424i	$-0.723023\pi$
$491$	166.770	−	288.854i	0.339654	−	0.588298i	0.984368	+	0.176126i	$0.0563567\pi$
$492$	152.737	+	570.021i	0.310441	+	1.15858i
$493$	−26.4345	+	26.4345i	−0.0536197	+	0.0536197i
$494$	16.8635	−	16.3696i	0.0341367	−	0.0331369i
$495$	1230.33	−	349.969i	2.48552	−	0.707009i
$496$	−32.8085	−	18.9420i	−0.0661463	−	0.0381896i
$497$	−53.7016	+	14.3893i	−0.108051	+	0.0289523i
$498$	389.920	+	104.479i	0.782973	+	0.209797i
$499$	−763.563			−1.53019			−0.765094	−	0.643919i	$-0.777307\pi$
$499$	−763.563			−1.53019			−0.765094	+	0.643919i	$0.777307\pi$
$500$	−53.5331	+	244.201i	−0.107066	+	0.488402i
$501$	741.112	−	427.881i	1.47927	−	0.854055i
$502$	47.9947	−	47.9947i	0.0956069	−	0.0956069i
$503$	218.312	+	58.4965i	0.434020	+	0.116295i	0.469213	−	0.883085i	$-0.344538\pi$
$503$	218.312	+	58.4965i	0.434020	+	0.116295i	−0.0351926	+	0.999381i	$0.511204\pi$
$504$	−551.336	−	318.314i	−1.09392	−	0.631576i
$505$	−153.873	+	611.619i	−0.304698	+	1.21113i
$506$	−92.3839			−0.182577
$507$	−222.568	−	941.741i	−0.438990	−	1.85748i
$508$	28.7165	−	28.7165i	0.0565285	−	0.0565285i
$509$	−139.196	+	241.095i	−0.273470	+	0.473664i	−0.969748	−	0.244108i	$-0.921505\pi$
$509$	−139.196	+	241.095i	−0.273470	+	0.473664i	0.696278	+	0.717772i	$0.254838\pi$
$510$	−462.255	−	773.032i	−0.906383	−	1.51575i
$511$	177.268	+	307.037i	0.346904	+	0.600855i
$512$	16.0000	−	16.0000i	0.0312500	−	0.0312500i
$513$	28.0125	−	104.544i	0.0546053	−	0.203790i
$514$	129.889	+	224.974i	0.252702	+	0.437693i
$515$	217.251	−	389.979i	0.421847	−	0.757240i
$516$	159.207	+	275.755i	0.308541	+	0.534409i
$517$	−280.799	+	75.2398i	−0.543131	+	0.145532i
$518$	−52.0536	+	13.9477i	−0.100490	+	0.0269261i
$519$		−	50.1620i		−	0.0966512i
$520$	−159.260	−	91.8488i	−0.306270	−	0.176632i
$521$	−931.649			−1.78819			−0.894097	−	0.447874i	$-0.852181\pi$
$521$	−931.649			−1.78819			−0.894097	+	0.447874i	$0.852181\pi$
$522$	14.6312	+	54.6043i	0.0280291	+	0.104606i
$523$	99.9451	+	373.000i	0.191100	+	0.713193i	0.993242	+	0.116061i	$0.0370267\pi$
$523$	99.9451	+	373.000i	0.191100	+	0.713193i	−0.802143	+	0.597133i	$0.796307\pi$
$524$	−275.233	+	158.906i	−0.525255	+	0.303256i
$525$	712.928	+	1151.77i	1.35796	+	2.19385i
$526$	228.597	−	131.980i	0.434595	−	0.250913i
$527$	−203.511	−	54.5306i	−0.386169	−	0.103474i
$528$	174.185	+	174.185i	0.329896	+	0.329896i
$529$	426.179	−	246.054i	0.805631	−	0.465131i
$530$	278.267	+	70.0071i	0.525032	+	0.132089i
$531$	−1378.02	−	795.603i	−2.59515	−	1.49831i
$532$	−17.1070	−	17.1070i	−0.0321560	−	0.0321560i
$533$	575.114	+	343.537i	1.07901	+	0.644535i
$534$			500.730i			0.937696i
$535$	−204.647	+	122.374i	−0.382518	+	0.228737i
$536$	15.3906	−	26.6572i	0.0287137	−	0.0497337i
$537$	115.037	−	429.322i	0.214221	−	0.799483i
$538$	247.423	+	247.423i	0.459895	+	0.459895i
$539$	−218.016	−	377.614i	−0.404482	−	0.700583i
$540$	−846.562	+	12.9804i	−1.56771	+	0.0240378i
$541$		−	854.714i		−	1.57988i	−0.613186	−	0.789939i	$-0.710112\pi$
$541$		−	854.714i		−	1.57988i	0.613186	−	0.789939i	$-0.289888\pi$
$542$	83.9560	−	313.328i	0.154900	−	0.578096i
$543$	99.6067	+	371.737i	0.183438	+	0.684599i
$544$	62.9206	−	108.982i	0.115663	−	0.200334i
$545$	−698.769	+	198.765i	−1.28214	+	0.364707i
$546$	−965.915	+	243.492i	−1.76908	+	0.445955i
$547$	298.170	+	298.170i	0.545100	+	0.545100i	0.925020	−	0.379919i	$-0.124048\pi$
$547$	298.170	+	298.170i	0.545100	+	0.545100i	−0.379919	+	0.925020i	$0.624048\pi$
$548$	103.381	−	27.7008i	0.188651	−	0.0505490i
$549$	2288.92	+	1321.51i	4.16926	+	2.40712i
$550$	−109.632	−	364.107i	−0.199330	−	0.662013i
$551$			2.14825i			0.00389882i
$552$	95.0163	+	25.4595i	0.172131	+	0.0461224i
$553$	11.2439	−	41.9630i	0.0203326	−	0.0758824i
$554$	−281.540			−0.508195
$555$	−80.2640	+	82.7637i	−0.144620	+	0.149124i
$556$	−264.355	+	457.876i	−0.475458	+	0.823518i
$557$	161.325	+	602.072i	0.289632	+	1.08092i	0.945388	+	0.325947i	$0.105683\pi$
$557$	161.325	+	602.072i	0.289632	+	1.08092i	−0.655756	+	0.754973i	$0.727650\pi$
$558$	−225.281	+	225.281i	−0.403730	+	0.403730i
$559$	347.714	+	98.7304i	0.622028	+	0.176620i
$560$	−92.1024	+	165.329i	−0.164469	+	0.295230i
$561$	1186.44	+	684.989i	2.11486	+	1.22101i
$562$	−694.435	+	186.073i	−1.23565	+	0.331091i
$563$	−190.167	−	50.9552i	−0.337775	−	0.0905066i	0.0859447	−	0.996300i	$-0.472609\pi$
$563$	−190.167	−	50.9552i	−0.337775	−	0.0905066i	−0.423720	+	0.905793i	$0.639276\pi$
$564$	309.535			0.548820
$565$	−852.323	+	13.0688i	−1.50854	+	0.0231306i
$566$	281.224	−	162.365i	0.496862	−	0.286863i
$567$	−1811.38	+	1811.38i	−3.19468	+	3.19468i
$568$	−16.0517	−	4.30103i	−0.0282600	−	0.00757223i
$569$	−431.859	−	249.334i	−0.758980	−	0.438197i	0.0699496	−	0.997551i	$-0.477716\pi$
$569$	−431.859	−	249.334i	−0.758980	−	0.438197i	−0.828929	+	0.559353i	$0.811050\pi$
$570$	−50.1940	−	12.6279i	−0.0880596	−	0.0221542i
$571$	969.122			1.69724			0.848618	−	0.529006i	$-0.177435\pi$
$571$	969.122			1.69724			0.848618	+	0.529006i	$0.177435\pi$
$572$	279.605	+	4.15539i	0.488819	+	0.00726466i
$573$	629.618	−	629.618i	1.09881	−	1.09881i
$574$	344.800	−	597.211i	0.600697	−	1.04044i
$575$	−110.613	−	104.029i	−0.192370	−	0.180920i
$576$	−95.1457	−	164.797i	−0.165183	−	0.286106i
$577$	−309.490	+	309.490i	−0.536378	+	0.536378i	−0.922463	−	0.386085i	$-0.873827\pi$
$577$	−309.490	+	309.490i	−0.536378	+	0.536378i	0.386085	+	0.922463i	$0.373827\pi$
$578$	75.3555	−	281.230i	0.130373	−	0.486558i
$579$	315.483	+	546.433i	0.544876	+	0.943753i
$580$	16.1638	−	4.59781i	0.0278686	−	0.00792726i
$581$	−235.859	−	408.520i	−0.405953	−	0.703132i
$582$	28.8528	−	7.73107i	0.0495752	−	0.0132836i
$583$	−421.566	+	112.958i	−0.723098	+	0.193754i
$584$			105.973i			0.181460i
$585$	−1092.75	+	1093.78i	−1.86796	+	1.86972i
$586$	−600.471			−1.02469
$587$	−167.080	−	623.550i	−0.284633	−	1.06227i	−0.949107	−	0.314954i	$-0.898011\pi$
$587$	−167.080	−	623.550i	−0.284633	−	1.06227i	0.664474	−	0.747312i	$-0.268656\pi$
$588$	120.163	+	448.456i	0.204359	+	0.762679i
$589$	−10.4851	+	6.05358i	−0.0178016	+	0.0102777i
$590$	−230.203	+	413.228i	−0.390175	+	0.700386i
$591$	267.934	−	154.692i	0.453357	−	0.261746i
$592$	−15.5591	−	4.16905i	−0.0262822	−	0.00704231i
$593$	536.796	+	536.796i	0.905221	+	0.905221i	0.995882	−	0.0906604i	$-0.0288978\pi$
$593$	536.796	+	536.796i	0.905221	+	0.905221i	−0.0906604	+	0.995882i	$0.528898\pi$
$594$	1115.26	−	643.893i	1.87753	−	1.08400i
$595$	−256.793	+	1020.71i	−0.431585	+	1.71548i
$596$	−354.340	−	204.578i	−0.594530	−	0.343252i
$597$	402.545	+	402.545i	0.674279	+	0.674279i
$598$	97.5246	−	54.3898i	0.163085	−	0.0909528i
$599$		−	698.216i		−	1.16564i	−0.812602	−	0.582818i	$-0.801950\pi$
$599$		−	698.216i		−	1.16564i	0.812602	−	0.582818i	$-0.198050\pi$
$600$	12.4134	+	404.695i	0.0206890	+	0.674492i
$601$	435.765	−	754.767i	0.725066	−	1.25585i	−0.233881	−	0.972265i	$-0.575142\pi$
$601$	435.765	−	754.767i	0.725066	−	1.25585i	0.958947	−	0.283586i	$-0.0915242\pi$
$602$	96.3028	−	359.407i	0.159971	−	0.597022i
$603$	−183.043	−	183.043i	−0.303554	−	0.303554i
$604$	−140.695	−	243.691i	−0.232938	−	0.403461i
$605$	−19.1146	−	18.5373i	−0.0315944	−	0.0306402i
$606$			1021.41i			1.68549i
$607$	−5.06313	+	18.8959i	−0.00834123	+	0.0311299i	−0.969971	−	0.243220i	$-0.921796\pi$
$607$	−5.06313	+	18.8959i	−0.00834123	+	0.0311299i	0.961630	+	0.274350i	$0.0884628\pi$
$608$	−1.87162	−	6.98497i	−0.00307832	−	0.0114884i
$609$	45.5268	−	78.8548i	0.0747567	−	0.129482i
$610$	382.371	−	686.378i	0.626838	−	1.12521i
$611$	252.127	−	244.743i	0.412647	−	0.400561i
$612$	−748.327	−	748.327i	−1.22276	−	1.22276i
$613$	−735.947	+	197.196i	−1.20057	+	0.321691i	−0.803054	−	0.595906i	$-0.796793\pi$
$613$	−735.947	+	197.196i	−1.20057	+	0.321691i	−0.397512	+	0.917597i	$0.630126\pi$
$614$	327.192	+	188.905i	0.532886	+	0.307662i
$615$	−22.6187	−	1475.15i	−0.0367783	−	2.39862i
$616$		−	287.856i		−	0.467299i
$617$	827.010	+	221.597i	1.34037	+	0.359152i	0.856573	−	0.516027i	$-0.172589\pi$
$617$	827.010	+	221.597i	1.34037	+	0.359152i	0.483800	+	0.875178i	$0.339256\pi$
$618$	187.121	−	698.344i	0.302784	−	1.13001i
$619$	−904.370			−1.46102			−0.730509	−	0.682903i	$-0.760717\pi$
$619$	−904.370			−1.46102			−0.730509	+	0.682903i	$0.760717\pi$
$620$	67.9890	+	65.9356i	0.109660	+	0.106348i
$621$	257.124	−	445.351i	0.414048	−	0.717152i
$622$	−173.188	−	646.347i	−0.278438	−	1.03914i
$623$	413.750	−	413.750i	0.664126	−	0.664126i
$624$	−286.427	−	81.3284i	−0.459017	−	0.130334i
$625$	278.739	−	559.401i	0.445982	−	0.895042i
$626$	408.580	+	235.894i	0.652684	+	0.376827i
$627$	76.0424	−	20.3755i	0.121280	−	0.0324968i
$628$	240.169	+	64.3530i	0.382434	+	0.102473i
$629$	−89.5835			−0.142422
$630$	1142.53	+	1108.02i	1.81354	+	1.75877i
$631$	461.063	−	266.195i	0.730686	−	0.421861i	−0.0879874	−	0.996122i	$-0.528044\pi$
$631$	461.063	−	266.195i	0.730686	−	0.421861i	0.818673	+	0.574260i	$0.194710\pi$
$632$	9.18206	−	9.18206i	0.0145286	−	0.0145286i
$633$	2073.38	+	555.561i	3.27549	+	0.877664i
$634$	365.572	+	211.063i	0.576612	+	0.332907i
$635$	−87.1373	+	52.1061i	−0.137224	+	0.0820568i
$636$	464.708			0.730673
$637$	452.462	+	270.272i	0.710302	+	0.424290i
$638$	−18.0741	+	18.0741i	−0.0283294	+	0.0283294i
$639$	−69.8763	+	121.029i	−0.109353	+	0.189404i
$640$	−48.5504	+	29.0320i	−0.0758600	+	0.0453625i
$641$	304.484	+	527.382i	0.475015	+	0.822749i	0.999591	−	0.0286143i	$-0.00910946\pi$
$641$	304.484	+	527.382i	0.475015	+	0.822749i	−0.524576	+	0.851364i	$0.675776\pi$
$642$	−273.064	+	273.064i	−0.425334	+	0.425334i
$643$	−212.792	+	794.150i	−0.330936	+	1.23507i	0.577272	+	0.816552i	$0.304117\pi$
$643$	−212.792	+	794.150i	−0.330936	+	1.23507i	−0.908208	+	0.418519i	$0.862549\pi$
$644$	−57.4744	−	99.5486i	−0.0892459	−	0.154579i
$645$	−217.794	−	765.663i	−0.337664	−	1.18707i
$646$	−20.1085	−	34.8289i	−0.0311276	−	0.0539147i
$647$	754.596	−	202.193i	1.16630	−	0.312509i	0.376821	−	0.926286i	$-0.377017\pi$
$647$	754.596	−	202.193i	1.16630	−	0.312509i	0.789480	+	0.613777i	$0.210351\pi$
$648$	−739.609	+	198.178i	−1.14137	+	0.305830i
$649$		−	719.476i		−	1.10859i
$650$	330.095	+	319.824i	0.507839	+	0.492036i
$651$	513.163			0.788269
$652$	80.6956	+	301.160i	0.123766	+	0.461902i
$653$	−101.210	−	377.721i	−0.154992	−	0.578439i	−0.999106	−	0.0422748i	$-0.986540\pi$
$653$	−101.210	−	377.721i	−0.154992	−	0.578439i	0.844114	−	0.536164i	$-0.180127\pi$
$654$	−1018.95	+	588.289i	−1.55802	+	0.899524i
$655$	764.215	−	217.382i	1.16674	−	0.331880i
$656$	178.509	−	103.062i	0.272118	−	0.157107i
$657$	860.837	+	230.661i	1.31025	+	0.351082i
$658$	−255.767	−	255.767i	−0.388704	−	0.388704i
$659$	597.928	−	345.214i	0.907326	−	0.523845i	0.0277560	−	0.999615i	$-0.491164\pi$
$659$	597.928	−	345.214i	0.907326	−	0.523845i	0.879570	+	0.475770i	$0.157831\pi$
$660$	−316.059	−	528.547i	−0.478877	−	0.800829i
$661$	−686.512	−	396.358i	−1.03860	−	0.599634i	−0.119161	−	0.992875i	$-0.538020\pi$
$661$	−686.512	−	396.358i	−1.03860	−	0.599634i	−0.919435	+	0.393241i	$0.871354\pi$
$662$	128.412	+	128.412i	0.193976	+	0.193976i
$663$	−1655.73	−	24.6069i	−2.49733	−	0.0371145i
$664$		−	140.999i		−	0.212348i
$665$	31.0406	+	51.9094i	0.0466776	+	0.0780592i
$666$	−67.7321	+	117.315i	−0.101700	+	0.176149i
$667$	−2.64178	+	9.85927i	−0.00396070	+	0.0147815i
$668$	−211.359	−	211.359i	−0.316406	−	0.316406i
$669$	−1075.45	−	1862.74i	−1.60755	−	2.78436i
$670$	−53.5732	+	55.2417i	−0.0799601	+	0.0824503i
$671$			1195.06i			1.78102i
$672$	−79.3287	+	296.059i	−0.118049	+	0.440563i
$673$	170.784	+	637.376i	0.253766	+	0.947067i	0.968773	+	0.247950i	$0.0797567\pi$
$673$	170.784	+	637.376i	0.253766	+	0.947067i	−0.715007	+	0.699117i	$0.753577\pi$
$674$	−109.270	+	189.261i	−0.162122	+	0.280803i
$675$	2060.37	+	484.889i	3.05239	+	0.718355i
$676$	−297.609	+	160.227i	−0.440251	+	0.237022i
$677$	647.655	+	647.655i	0.956655	+	0.956655i	0.999099	−	0.0424438i	$-0.0135143\pi$
$677$	647.655	+	647.655i	0.956655	+	0.956655i	−0.0424438	+	0.999099i	$0.513514\pi$
$678$	−1333.49	+	357.309i	−1.96681	+	0.527004i
$679$	−30.2290	−	17.4527i	−0.0445199	−	0.0257036i
$680$	−219.021	+	225.842i	−0.322090	+	0.332121i
$681$			1827.48i			2.68352i
$682$	−139.147	−	37.2844i	−0.204028	−	0.0546691i
$683$	−33.5199	+	125.098i	−0.0490774	+	0.183160i	−0.986113	−	0.166073i	$-0.946891\pi$
$683$	−33.5199	+	125.098i	−0.0490774	+	0.183160i	0.937036	+	0.349233i	$0.113558\pi$
$684$	−60.8142			−0.0889097
$685$	−267.538	+	4.10219i	−0.390566	+	0.00598860i
$686$	−56.5973	+	98.0294i	−0.0825034	+	0.142900i
$687$	−353.173	−	1318.06i	−0.514080	−	1.91857i
$688$	78.6431	−	78.6431i	0.114307	−	0.114307i
$689$	378.521	−	367.435i	0.549378	−	0.533288i
$690$	−214.833	−	119.681i	−0.311353	−	0.173450i
$691$	52.5682	+	30.3503i	0.0760755	+	0.0439222i	0.537555	−	0.843229i	$-0.319348\pi$
$691$	52.5682	+	30.3503i	0.0760755	+	0.0439222i	−0.461480	+	0.887151i	$0.652681\pi$
$692$	−16.9239	+	4.53476i	−0.0244566	+	0.00655311i
$693$	−2338.32	−	626.551i	−3.37420	−	0.904113i
$694$	246.501			0.355189
$695$	920.197	−	948.855i	1.32402	−	1.36526i
$696$	23.5701	−	13.6082i	0.0338651	−	0.0195520i
$697$	810.593	−	810.593i	1.16297	−	1.16297i
$698$	279.469	+	74.8836i	0.400386	+	0.107283i
$699$	−1711.74	−	988.272i	−2.44884	−	1.41384i
$700$	324.140	−	344.654i	0.463057	−	0.492363i
$701$	−1093.57			−1.56001			−0.780006	−	0.625772i	$-0.784784\pi$
$701$	−1093.57			−1.56001			−0.780006	+	0.625772i	$0.784784\pi$
$702$	−798.230	+	1336.31i	−1.13708	+	1.90358i
$703$	−3.64009	+	3.64009i	−0.00517793	+	0.00517793i
$704$	43.0208	−	74.5143i	0.0611092	−	0.105844i
$705$	−750.452	−	188.800i	−1.06447	−	0.267802i
$706$	206.538	+	357.734i	0.292547	+	0.506706i
$707$	843.984	−	843.984i	1.19375	−	1.19375i
$708$	−198.276	+	739.977i	−0.280051	+	1.04516i
$709$	−296.125	−	512.904i	−0.417666	−	0.723419i	0.578038	−	0.816010i	$-0.303819\pi$
$709$	−296.125	−	512.904i	−0.417666	−	0.723419i	−0.995704	+	0.0925905i	$0.970485\pi$
$710$	36.2930	+	20.2183i	0.0511170	+	0.0284765i
$711$	−54.6021	−	94.5736i	−0.0767962	−	0.133015i
$712$	168.939	−	45.2671i	0.237274	−	0.0635774i
$713$	−55.5652	+	14.8886i	−0.0779315	+	0.0208817i
$714$			1704.60i			2.38739i
$715$	−675.353	−	180.619i	−0.944550	−	0.252614i
$716$	−155.247			−0.216825
$717$	−476.729	−	1779.18i	−0.664894	−	2.48142i
$718$	61.1910	+	228.368i	0.0852242	+	0.318061i
$719$	349.555	−	201.816i	0.486169	−	0.280690i	−0.236815	−	0.971555i	$-0.576104\pi$
$719$	349.555	−	201.816i	0.486169	−	0.280690i	0.722984	+	0.690865i	$0.242770\pi$
$720$	130.158	+	457.577i	0.180775	+	0.635523i
$721$	−731.654	+	422.421i	−1.01478	+	0.585882i
$722$	490.903	+	131.537i	0.679921	+	0.182184i
$723$	−1309.69	−	1309.69i	−1.81147	−	1.81147i
$724$	116.414	−	67.2118i	0.160793	−	0.0928340i
$725$	−41.9928	+	1.28806i	−0.0579211	+	0.00177664i
$726$	−37.3461	−	21.5618i	−0.0514410	−	0.0296995i
$727$	−931.292	−	931.292i	−1.28101	−	1.28101i	−0.940095	−	0.340912i	$-0.889264\pi$
$727$	−931.292	−	931.292i	−1.28101	−	1.28101i	−0.340912	−	0.940095i	$-0.610736\pi$
$728$	169.472	+	303.874i	0.232791	+	0.417409i
$729$			2076.22i			2.84803i
$730$	64.6379	−	256.925i	0.0885450	−	0.351952i
$731$	309.267	−	535.666i	0.423074	−	0.732785i
$732$	329.340	−	1229.11i	0.449918	−	1.67912i
$733$	−72.7371	−	72.7371i	−0.0992321	−	0.0992321i	0.655748	−	0.754980i	$-0.272353\pi$
$733$	−72.7371	−	72.7371i	−0.0992321	−	0.0992321i	−0.754980	+	0.655748i	$0.772353\pi$
$734$	−361.859	−	626.759i	−0.492996	−	0.853895i
$735$	−17.7949	−	1160.55i	−0.0242107	−	1.57898i
$736$		−	34.3588i		−	0.0466831i
$737$	30.2939	−	113.058i	0.0411043	−	0.153403i
$738$	−448.653	−	1674.40i	−0.607931	−	2.26883i
$739$	−374.607	+	648.839i	−0.506911	+	0.877996i	0.493057	+	0.869997i	$0.335879\pi$
$739$	−374.607	+	648.839i	−0.506911	+	0.877996i	−0.999968	+	0.00799871i	$0.997454\pi$
$740$	35.1793	+	19.5979i	0.0475397	+	0.0264837i
$741$	−68.2779	+	66.2782i	−0.0921429	+	0.0894443i
$742$	−383.986	−	383.986i	−0.517501	−	0.517501i
$743$	−400.259	+	107.249i	−0.538706	+	0.144346i	−0.517906	−	0.855438i	$-0.673288\pi$
$743$	−400.259	+	107.249i	−0.538706	+	0.144346i	−0.0208006	+	0.999784i	$0.506622\pi$
$744$	132.837	+	76.6935i	0.178544	+	0.103083i
$745$	734.298	+	712.120i	0.985634	+	0.955865i
$746$		−	643.902i		−	0.863140i
$747$	−1145.36	−	306.899i	−1.53328	−	0.410842i
$748$	123.849	−	462.211i	0.165574	−	0.617929i
$749$	451.263			0.602487
$750$	216.748	−	988.734i	0.288997	−	1.31831i
$751$	−514.646	+	891.393i	−0.685281	+	1.18694i	0.288068	+	0.957610i	$0.406987\pi$
$751$	−514.646	+	891.393i	−0.685281	+	1.18694i	−0.973348	+	0.229331i	$0.926346\pi$
$752$	−27.9826	−	104.433i	−0.0372110	−	0.138873i
$753$	−194.323	+	194.323i	−0.258066	+	0.258066i
$754$	8.43896	−	29.7208i	0.0111923	−	0.0394175i
$755$	192.469	+	676.632i	0.254925	+	0.896202i
$756$	1387.66	+	801.165i	1.83553	+	1.05974i
$757$	−811.462	+	217.431i	−1.07194	+	0.287227i	−0.751292	−	0.659970i	$-0.770569\pi$
$757$	−811.462	+	217.431i	−1.07194	+	0.287227i	−0.320653	+	0.947197i	$0.603902\pi$
$758$	330.998	+	88.6907i	0.436673	+	0.117006i
$759$	374.049			0.492818
$760$	0.277166	+	18.0763i	0.000364693	+	0.0237846i
$761$	352.995	−	203.802i	0.463857	−	0.267808i	−0.249807	−	0.968296i	$-0.580367\pi$
$761$	352.995	−	203.802i	0.463857	−	0.267808i	0.713665	+	0.700487i	$0.247034\pi$
$762$	−116.269	+	116.269i	−0.152584	+	0.152584i
$763$	1328.05	+	355.850i	1.74056	+	0.466383i
$764$	−269.343	−	155.505i	−0.352543	−	0.203541i
$765$	1357.84	+	2270.73i	1.77496	+	2.96827i
$766$	−207.482			−0.270864
$767$	423.582	+	759.510i	0.552257	+	0.990235i
$768$	−64.7816	+	64.7816i	−0.0843511	+	0.0843511i
$769$	−396.676	+	687.062i	−0.515833	+	0.893449i	0.483998	+	0.875069i	$0.339184\pi$
$769$	−396.676	+	687.062i	−0.515833	+	0.893449i	−0.999831	+	0.0183801i	$0.994149\pi$
$770$	−175.578	+	697.894i	−0.228023	+	0.906355i
$771$	−525.901	−	910.887i	−0.682102	−	1.18144i
$772$	155.838	−	155.838i	0.201863	−	0.201863i
$773$	−222.111	+	828.928i	−0.287336	+	1.07235i	0.659780	+	0.751459i	$0.270650\pi$
$773$	−222.111	+	828.928i	−0.287336	+	1.07235i	−0.947116	+	0.320893i	$0.896017\pi$
$774$	−467.659	−	810.010i	−0.604211	−	1.04652i
$775$	−124.619	−	201.327i	−0.160798	−	0.259777i
$776$	−5.21671	−	9.03560i	−0.00672256	−	0.0116438i
$777$	210.758	−	56.4723i	0.271245	−	0.0726799i
$778$	−961.219	+	257.558i	−1.23550	+	0.331051i
$779$		−	65.8744i		−	0.0845627i
$780$	644.821	+	371.882i	0.826693	+	0.476772i
$781$	−63.1903			−0.0809094
$782$	−49.4563	−	184.573i	−0.0632433	−	0.236027i
$783$	−36.8252	−	137.433i	−0.0470309	−	0.175522i
$784$	140.439	−	81.0828i	0.179132	−	0.103422i
$785$	−543.025	−	302.512i	−0.691752	−	0.385365i
$786$	1114.38	−	643.387i	1.41779	−	0.818559i
$787$	584.289	+	156.560i	0.742426	+	0.198932i	0.610156	−	0.792281i	$-0.291107\pi$
$787$	584.289	+	156.560i	0.742426	+	0.198932i	0.132270	+	0.991214i	$0.457773\pi$
$788$	−76.4127	−	76.4127i	−0.0969704	−	0.0969704i
$789$	−925.554	+	534.369i	−1.17307	+	0.677274i
$790$	−27.8621	+	16.6609i	−0.0352684	+	0.0210897i
$791$	1397.10	+	806.617i	1.76625	+	1.01974i
$792$	−511.656	−	511.656i	−0.646030	−	0.646030i
$793$	−703.576	−	1261.56i	−0.887233	−	1.59087i
$794$			308.030i			0.387948i
$795$	−1126.66	−	283.448i	−1.41718	−	0.356539i
$796$	99.4219	−	172.204i	0.124902	−	0.216336i
$797$	−339.759	+	1268.00i	−0.426297	+	1.59096i	0.334776	+	0.942298i	$0.391339\pi$
$797$	−339.759	+	1268.00i	−0.426297	+	1.59096i	−0.761073	+	0.648666i	$0.775327\pi$
$798$	69.2636	+	69.2636i	0.0867965	+	0.0867965i
$799$	−300.642	−	520.728i	−0.376273	−	0.651724i
$800$	135.416	−	40.7734i	0.169270	−	0.0509668i
$801$		−	1470.86i		−	1.83628i
$802$	−254.805	+	950.944i	−0.317712	+	1.18572i
$803$	104.295	+	389.234i	0.129882	+	0.484725i
$804$	−62.3141	+	107.931i	−0.0775051	+	0.134243i
$805$	78.6243	+	276.407i	0.0976699	+	0.343363i
$806$	168.840	−	42.5619i	0.209480	−	0.0528064i
$807$	−1001.78	−	1001.78i	−1.24136	−	1.24136i
$808$	344.609	−	92.3376i	0.426496	−	0.114279i
$809$	886.121	+	511.602i	1.09533	+	0.632388i	0.934990	−	0.354674i	$-0.115408\pi$
$809$	886.121	+	511.602i	1.09533	+	0.632388i	0.160338	+	0.987062i	$0.448741\pi$
$810$	1914.02	−	29.3480i	2.36299	−	0.0362321i
$811$			1301.46i			1.60476i	0.596810	+	0.802382i	$0.296434\pi$
$811$			1301.46i			1.60476i	−0.596810	+	0.802382i	$0.703566\pi$
$812$	−30.7202	−	8.23146i	−0.0378328	−	0.0101373i
$813$	−339.926	+	1268.62i	−0.418113	+	1.56042i
$814$	−61.2512			−0.0752471
$815$	−11.9501	−	779.368i	−0.0146628	−	0.956279i
$816$	−254.756	+	441.251i	−0.312201	+	0.540748i
$817$	−9.19937	−	34.3325i	−0.0112599	−	0.0420227i
$818$	−701.949	+	701.949i	−0.858129	+	0.858129i
$819$	2837.31	−	715.238i	3.46435	−	0.873307i
$820$	−495.650	+	140.988i	−0.604451	+	0.171937i
$821$	187.633	+	108.330i	0.228542	+	0.131949i	0.609899	−	0.792479i	$-0.291210\pi$
$821$	187.633	+	108.330i	0.228542	+	0.131949i	−0.381357	+	0.924428i	$0.624543\pi$
$822$	−418.574	+	112.157i	−0.509214	+	0.136444i
$823$	1450.25	+	388.594i	1.76216	+	0.472168i	0.987151	−	0.159788i	$-0.0510809\pi$
$823$	1450.25	+	388.594i	1.76216	+	0.472168i	0.775004	+	0.631956i	$0.217748\pi$
$824$	−252.527			−0.306465
$825$	443.883	+	1474.22i	0.538040	+	1.78693i
$826$	775.273	−	447.604i	0.938587	−	0.541894i
$827$	230.849	−	230.849i	0.279140	−	0.279140i	−0.553626	−	0.832766i	$-0.686756\pi$
$827$	230.849	−	230.849i	0.279140	−	0.279140i	0.832766	+	0.553626i	$0.186756\pi$
$828$	−279.103	−	74.7855i	−0.337081	−	0.0903207i
$829$	−151.614	−	87.5347i	−0.182888	−	0.105591i	0.405761	−	0.913979i	$-0.367007\pi$
$829$	−151.614	−	87.5347i	−0.182888	−	0.105591i	−0.588649	+	0.808389i	$0.700340\pi$
$830$	−86.0021	+	341.845i	−0.103617	+	0.411861i
$831$	1139.91			1.37174
$832$	−1.54544	+	103.989i	−0.00185750	+	0.124986i
$833$	637.722	−	637.722i	0.765573	−	0.765573i
$834$	1070.33	−	1853.87i	1.28337	−	2.22287i
$835$	383.512	+	641.349i	0.459296	+	0.768082i
$836$	−13.7488	−	23.8136i	−0.0164459	−	0.0284852i
$837$	567.011	−	567.011i	0.677432	−	0.677432i
$838$	212.927	−	794.655i	0.254090	−	0.948276i
$839$	187.023	+	323.933i	0.222911	+	0.386094i	0.955691	−	0.294373i	$-0.0951106\pi$
$839$	187.023	+	323.933i	0.222911	+	0.386094i	−0.732779	+	0.680466i	$0.761777\pi$
$840$	372.909	−	669.393i	0.443939	−	0.796896i
$841$	−419.088	−	725.882i	−0.498321	−	0.863117i
$842$	492.122	−	131.864i	0.584468	−	0.156608i
$843$	2811.67	−	753.384i	3.33531	−	0.893693i
$844$		−	749.754i		−	0.888334i
$845$	819.270	−	206.935i	0.969550	−	0.244894i
$846$	−909.236			−1.07475
$847$	13.0425	+	48.6753i	0.0153985	+	0.0574679i
$848$	−42.0106	−	156.786i	−0.0495409	−	0.184889i
$849$	−1138.63	+	657.391i	−1.34115	+	0.774312i
$850$	668.758	−	413.952i	0.786774	−	0.487002i
$851$	−21.1823	+	12.2296i	−0.0248911	+	0.0143709i
$852$	64.9908	+	17.4142i	0.0762803	+	0.0204392i
$853$	185.625	+	185.625i	0.217614	+	0.217614i	0.807492	−	0.589878i	$-0.200824\pi$
$853$	185.625	+	185.625i	0.217614	+	0.217614i	−0.589878	+	0.807492i	$0.700824\pi$
$854$	−1287.74	+	743.478i	−1.50789	+	0.870583i
$855$	147.441	+	37.0936i	0.172446	+	0.0433843i
$856$	116.814	+	67.4424i	0.136465	+	0.0787878i
$857$	−429.506	−	429.506i	−0.501173	−	0.501173i	0.410629	−	0.911802i	$-0.365309\pi$
$857$	−429.506	−	429.506i	−0.501173	−	0.501173i	−0.911802	+	0.410629i	$0.865309\pi$
$858$	−1132.08	−	16.8246i	−1.31944	−	0.0196090i
$859$			159.919i			0.186169i	0.995658	+	0.0930846i	$0.0296727\pi$
$859$			159.919i			0.186169i	−0.995658	+	0.0930846i	$0.970327\pi$
$860$	−238.635	+	142.698i	−0.277482	+	0.165928i
$861$	−1396.04	+	2418.02i	−1.62142	+	2.80839i
$862$	−176.447	+	658.511i	−0.204695	+	0.763933i
$863$	−594.605	−	594.605i	−0.688997	−	0.688997i	0.273013	−	0.962010i	$-0.411980\pi$
$863$	−594.605	−	594.605i	−0.688997	−	0.688997i	−0.962010	+	0.273013i	$0.911980\pi$
$864$	239.472	+	414.778i	0.277167	+	0.480067i
$865$	43.7972	−	0.671548i	0.0506326	−	0.000776356i
$866$		−	331.877i		−	0.383230i
$867$	−305.103	+	1138.66i	−0.351907	+	1.31333i
$868$	−46.3911	−	173.134i	−0.0534460	−	0.199463i
$869$	24.6888	−	42.7622i	0.0284105	−	0.0492085i
$870$	−65.4448	+	18.6158i	−0.0752240	+	0.0213975i
$871$	34.5820	+	137.184i	0.0397037	+	0.157502i
$872$	290.595	+	290.595i	0.333252	+	0.333252i
$873$	−84.7528	+	22.7095i	−0.0970823	+	0.0260131i
$874$	−9.50942	−	5.49027i	−0.0108803	−	0.00628177i
$875$	−996.084	+	637.889i	−1.13838	+	0.729016i
$876$		−	429.067i		−	0.489803i
$877$	315.921	+	84.6508i	0.360229	+	0.0965231i	0.434394	−	0.900723i	$-0.356962\pi$
$877$	315.921	+	84.6508i	0.360229	+	0.0965231i	−0.0741650	+	0.997246i	$0.523629\pi$
$878$	−131.588	+	491.093i	−0.149873	+	0.559332i
$879$	2431.22			2.76589
$880$	−149.752	+	154.416i	−0.170173	+	0.175472i
$881$	490.625	−	849.787i	0.556896	−	0.964571i	−0.440858	−	0.897577i	$-0.645326\pi$
$881$	490.625	−	849.787i	0.556896	−	0.964571i	0.997753	−	0.0669945i	$-0.0213410\pi$
$882$	−352.971	−	1317.31i	−0.400194	−	1.49354i
$883$	−1202.77	+	1202.77i	−1.36214	+	1.36214i	−0.490960	+	0.871182i	$0.663354\pi$
$883$	−1202.77	+	1202.77i	−1.36214	+	1.36214i	−0.871182	+	0.490960i	$0.836646\pi$
$884$	141.380	+	560.845i	0.159932	+	0.634440i
$885$	932.059	−	1673.10i	1.05317	−	1.89051i
$886$	−345.230	−	199.318i	−0.389650	−	0.224964i
$887$	44.4819	−	11.9189i	0.0501487	−	0.0134373i	−0.233657	−	0.972319i	$-0.575069\pi$
$887$	44.4819	−	11.9189i	0.0501487	−	0.0134373i	0.283806	+	0.958882i	$0.408403\pi$
$888$	62.9965	+	16.8799i	0.0709420	+	0.0190088i
$889$	192.145			0.216136
$890$	−437.195	+	6.70357i	−0.491231	+	0.00753210i
$891$	−2521.52	+	1455.80i	−2.82999	+	1.63390i
$892$	−531.238	+	531.238i	−0.595558	+	0.595558i
$893$	−33.3751	−	8.94283i	−0.0373741	−	0.0100144i
$894$	1434.67	+	828.307i	1.60478	+	0.926518i
$895$	376.388	+	94.6927i	0.420545	+	0.105802i
$896$	107.057			0.119484
$897$	−394.863	+	220.216i	−0.440204	+	0.245503i
$898$	333.440	−	333.440i	0.371314	−	0.371314i
$899$	−7.95802	+	13.7837i	−0.00885208	+	0.0153323i
$900$	−36.4634	−	1188.76i	−0.0405149	−	1.32085i
$901$	−451.358	−	781.775i	−0.500952	−	0.867674i
$902$	554.229	−	554.229i	0.614445	−	0.614445i
$903$	−389.916	+	1455.19i	−0.431800	+	1.61150i
$904$	241.102	+	417.600i	0.266705	+	0.461947i
$905$	−323.236	+	91.9449i	−0.357167	+	0.101597i
$906$	569.652	+	986.667i	0.628755	+	1.08904i
$907$	703.409	−	188.478i	0.775533	−	0.207804i	0.150719	−	0.988577i	$-0.451841\pi$
$907$	703.409	−	188.478i	0.775533	−	0.207804i	0.624815	+	0.780773i	$0.285175\pi$
$908$	616.566	−	165.208i	0.679037	−	0.181947i
$909$		−	3000.31i		−	3.30067i
$910$	−225.528	−	840.096i	−0.247833	−	0.923183i
$911$	−395.554			−0.434198			−0.217099	−	0.976150i	$-0.569659\pi$
$911$	−395.554			−0.434198			−0.217099	+	0.976150i	$0.569659\pi$
$912$	7.57791	+	28.2811i	0.00830911	+	0.0310100i
$913$	−138.767	−	517.885i	−0.151990	−	0.567234i
$914$	−60.1977	+	34.7552i	−0.0658618	+	0.0380253i
$915$	−1548.17	+	2779.04i	−1.69198	+	3.03721i
$916$	−412.767	+	238.311i	−0.450619	+	0.260165i
$917$	−1452.43	−	389.178i	−1.58390	−	0.424404i
$918$	1883.46	+	1883.46i	2.05170	+	2.05170i
$919$	32.2144	−	18.5990i	0.0350538	−	0.0202383i	−0.482371	−	0.875967i	$-0.660224\pi$
$919$	32.2144	−	18.5990i	0.0350538	−	0.0202383i	0.517424	+	0.855729i	$0.326891\pi$
$920$	−20.9571	+	83.3011i	−0.0227795	+	0.0905447i
$921$	−1324.75	−	764.846i	−1.43839	−	0.830452i
$922$	−242.621	−	242.621i	−0.263147	−	0.263147i
$923$	66.7064	−	37.2024i	0.0722713	−	0.0403060i
$924$			1165.49i			1.26135i
$925$	−73.3369	−	68.9718i	−0.0792831	−	0.0745641i
$926$	544.140	−	942.478i	0.587624	−	1.01779i
$927$	−549.653	+	2051.33i	−0.592937	+	2.21287i
$928$	−6.72200	−	6.72200i	−0.00724354	−	0.00724354i
$929$	642.011	+	1112.00i	0.691077	+	1.19698i	0.971485	+	0.237100i	$0.0761970\pi$
$929$	642.011	+	1112.00i	0.691077	+	1.19698i	−0.280408	+	0.959881i	$0.590470\pi$
$930$	−275.278	−	266.963i	−0.295997	−	0.287057i
$931$		−	51.8256i		−	0.0556666i
$932$	−178.684	+	666.858i	−0.191721	+	0.715513i
$933$	701.214	+	2616.97i	0.751569	+	2.80489i
$934$	53.0807	−	91.9385i	0.0568316	−	0.0984352i
$935$	−582.192	+	1045.07i	−0.622665	+	1.11772i
$936$	841.357	+	238.896i	0.898886	+	0.255231i
$937$	434.462	+	434.462i	0.463673	+	0.463673i	0.899857	−	0.436184i	$-0.143670\pi$
$937$	434.462	+	434.462i	0.463673	+	0.463673i	−0.436184	+	0.899857i	$0.643670\pi$
$938$	140.673	−	37.6932i	0.149971	−	0.0401846i
$939$	−1654.28	−	955.100i	−1.76175	−	1.01715i
$940$	4.14393	+	270.260i	0.00440843	+	0.287510i
$941$		−	1108.22i		−	1.17770i	−0.808242	−	0.588850i	$-0.799581\pi$
$941$		−	1108.22i		−	1.17770i	0.808242	−	0.588850i	$-0.200419\pi$
$942$	−972.408	−	260.556i	−1.03228	−	0.276599i
$943$	81.0082	−	302.327i	0.0859048	−	0.320601i
$944$	267.582			0.283456
$945$	−2875.64	−	2788.78i	−3.04300	−	2.95110i
$946$	211.456	−	366.252i	0.223526	−	0.387159i
$947$	−216.438	−	807.757i	−0.228551	−	0.852964i	−0.980951	−	0.194257i	$-0.937770\pi$
$947$	−216.438	−	807.757i	−0.228551	−	0.852964i	0.752400	−	0.658707i	$-0.228896\pi$
$948$	−37.1768	+	37.1768i	−0.0392161	+	0.0392161i
$949$	−339.255	−	349.491i	−0.357487	−	0.368273i
$950$	10.3537	−	43.9942i	0.0108986	−	0.0463097i
$951$	−1480.15	−	854.564i	−1.55641	−	0.898595i
$952$	575.107	−	154.099i	0.604104	−	0.161869i
$953$	1785.74	+	478.486i	1.87380	+	0.502084i	0.999871	+	0.0160386i	$0.00510548\pi$
$953$	1785.74	+	478.486i	1.87380	+	0.502084i	0.873933	+	0.486046i	$0.161561\pi$
$954$	−1365.05			−1.43087
$955$	558.159	+	541.300i	0.584459	+	0.566807i
$956$	−557.171	+	321.683i	−0.582815	+	0.336488i
$957$	73.1795	−	73.1795i	0.0764676	−	0.0764676i
$958$	−748.565	−	200.577i	−0.781383	−	0.209371i
$959$	438.540	+	253.191i	0.457289	+	0.264016i
$960$	196.573	−	117.546i	0.204764	−	0.122444i
$961$	871.300			0.906660
$962$	64.6594	−	36.0608i	0.0672136	−	0.0374852i
$963$	802.106	−	802.106i	0.832924	−	0.832924i
$964$	−323.473	+	560.271i	−0.335552	+	0.581194i
$965$	−472.876	+	282.769i	−0.490027	+	0.293025i
$966$	232.705	+	403.057i	0.240896	+	0.417244i
$967$	−916.655	+	916.655i	−0.947937	+	0.947937i	−0.998710	−	0.0507735i	$-0.983831\pi$
$967$	−916.655	+	916.655i	−0.947937	+	0.947937i	0.0507735	+	0.998710i	$0.483831\pi$
$968$	−3.89847	+	14.5493i	−0.00402735	+	0.0150303i
$969$	81.4162	+	141.017i	0.0840208	+	0.145528i
$970$	7.13639	+	25.0883i	0.00735711	+	0.0258642i
$971$	−224.321	−	388.536i	−0.231021	−	0.400140i	0.727088	−	0.686544i	$-0.240873\pi$
$971$	−224.321	−	388.536i	−0.231021	−	0.400140i	−0.958109	+	0.286405i	$0.907540\pi$
$972$	1522.51	−	407.954i	1.56636	−	0.419706i
$973$	−2416.26	+	647.434i	−2.48331	+	0.665400i
$974$		−	165.473i		−	0.169890i
$975$	−1336.51	−	1294.92i	−1.37078	−	1.32812i
$976$	−444.459			−0.455388
$977$	15.2415	+	56.8819i	0.0156003	+	0.0582210i	0.973287	−	0.229591i	$-0.0737389\pi$
$977$	15.2415	+	56.8819i	0.0156003	+	0.0582210i	−0.957687	+	0.287812i	$0.907072\pi$
$978$	−326.724	−	1219.35i	−0.334074	−	1.24678i
$979$	575.958	−	332.530i	0.588313	−	0.339663i
$980$	−389.945	+	110.920i	−0.397903	+	0.113184i
$981$	2993.08	−	1728.06i	3.05105	−	1.76152i
$982$	455.624	+	122.084i	0.463976	+	0.124322i
$983$	698.348	+	698.348i	0.710425	+	0.710425i	0.966624	−	0.256199i	$-0.0824703\pi$
$983$	698.348	+	698.348i	0.710425	+	0.710425i	−0.256199	+	0.966624i	$0.582470\pi$
$984$	−722.758	+	417.285i	−0.734510	+	0.424070i
$985$	138.651	+	231.867i	0.140762	+	0.235398i
$986$	−45.7859	−	26.4345i	−0.0464360	−	0.0268099i
$987$	1035.56	+	1035.56i	1.04920	+	1.04920i
$988$	28.5338	+	17.0443i	0.0288804	+	0.0172513i
$989$		−	168.880i		−	0.170758i
$990$	928.400	+	1552.57i	0.937778	+	1.56825i
$991$	504.962	−	874.620i	0.509548	−	0.882563i	−0.490391	−	0.871503i	$-0.663146\pi$
$991$	504.962	−	874.620i	0.509548	−	0.882563i	0.999939	−	0.0110606i	$-0.00352077\pi$
$992$	13.8665	−	51.7506i	0.0139784	−	0.0521679i
$993$	−519.922	−	519.922i	−0.523587	−	0.523587i
$994$	−39.3123	−	68.0908i	−0.0395496	−	0.0685019i
$995$	−346.079	+	356.857i	−0.347818	+	0.358651i
$996$			570.883i			0.573176i
$997$	−227.865	+	850.405i	−0.228551	+	0.852964i	0.752400	+	0.658707i	$0.228896\pi$
$997$	−227.865	+	850.405i	−0.228551	+	0.852964i	−0.980951	+	0.194257i	$0.937770\pi$
$998$	−279.484	−	1043.05i	−0.280044	−	1.04514i
$999$	170.475	−	295.271i	0.170645	−	0.295567i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.3.r.a.17.1	✓	28
5.3	odd	4		130.3.r.b.43.7	yes	28
13.10	even	6		130.3.r.b.127.7	yes	28
65.23	odd	12	inner	130.3.r.a.23.1	yes	28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.3.r.a.17.1	✓	28	1.1	even	1	trivial
130.3.r.a.23.1	yes	28	65.23	odd	12	inner
130.3.r.b.43.7	yes	28	5.3	odd	4
130.3.r.b.127.7	yes	28	13.10	even	6

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	130.r (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.366025 + 1.36603i) q^{2} +(-1.48198 - 5.53084i) q^{3} +(-1.73205 + 1.00000i) q^{4} +(4.80922 - 1.36799i) q^{5} +(7.01282 - 4.04885i) q^{6} +(-9.14020 - 2.44911i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(-20.5996 + 11.8932i) q^{9} +(3.62900 + 6.06880i) q^{10} +(-9.31429 - 5.37761i) q^{11} +(8.09771 + 8.09771i) q^{12} +(12.9986 + 0.193180i) q^{13} -13.3822i q^{14} +(-14.6933 - 24.5717i) q^{15} +(2.00000 - 3.46410i) q^{16} +(5.75763 - 21.4878i) q^{17} +(-23.7864 - 23.7864i) q^{18} +(-0.639170 - 1.10707i) q^{19} +(-6.96183 + 7.17865i) q^{20} +54.1825i q^{21} +(3.93668 - 14.6919i) q^{22} +(-1.57202 - 5.86687i) q^{23} +(-8.09771 + 14.0256i) q^{24} +(21.2572 - 13.1579i) q^{25} +(4.49392 + 17.8271i) q^{26} +(59.8680 + 59.8680i) q^{27} +(18.2804 - 4.89822i) q^{28} +(-1.45536 - 0.840250i) q^{29} +(28.1874 - 29.0653i) q^{30} -9.47101i q^{31} +(5.46410 + 1.46410i) q^{32} +(-15.9390 + 59.4853i) q^{33} +31.4603 q^{34} +(-47.3076 + 0.725373i) q^{35} +(23.7864 - 41.1993i) q^{36} +(-1.04226 - 3.88977i) q^{37} +(1.27834 - 1.27834i) q^{38} +(-18.1952 - 72.1792i) q^{39} +(-12.3544 - 6.88247i) q^{40} +(44.6273 + 25.7656i) q^{41} +(-74.0146 + 19.8322i) q^{42} +(26.8571 + 7.19635i) q^{43} +21.5104 q^{44} +(-82.7985 + 85.3771i) q^{45} +(7.43889 - 4.29484i) q^{46} +(19.1125 - 19.1125i) q^{47} +(-22.1233 - 5.92793i) q^{48} +(35.1099 + 20.2707i) q^{49} +(25.7547 + 24.2218i) q^{50} -127.378 q^{51} +(-22.7074 + 12.6640i) q^{52} +(28.6938 - 28.6938i) q^{53} +(-59.8680 + 103.694i) q^{54} +(-52.1510 - 13.1203i) q^{55} +(13.3822 + 23.1786i) q^{56} +(-5.17581 + 5.17581i) q^{57} +(0.615106 - 2.29561i) q^{58} +(33.4478 + 57.9332i) q^{59} +(50.0212 + 27.8661i) q^{60} +(-55.5573 - 96.2281i) q^{61} +(12.9376 - 3.46663i) q^{62} +(217.413 - 58.2555i) q^{63} +8.00000i q^{64} +(62.7772 - 16.8528i) q^{65} -87.0925 q^{66} +(2.81667 + 10.5120i) q^{67} +(11.5153 + 42.9756i) q^{68} +(-30.1190 + 17.3892i) q^{69} +(-18.3067 - 64.3579i) q^{70} +(5.08817 - 2.93766i) q^{71} +(64.9857 + 17.4129i) q^{72} +(-26.4931 - 26.4931i) q^{73} +(4.93203 - 2.84751i) q^{74} +(-104.277 - 98.0704i) q^{75} +(2.21415 + 1.27834i) q^{76} +(71.9641 + 71.9641i) q^{77} +(91.9387 - 51.2745i) q^{78} +4.59103i q^{79} +(4.87959 - 19.3956i) q^{80} +(135.358 - 234.447i) q^{81} +(-18.8617 + 70.3929i) q^{82} +(35.2497 + 35.2497i) q^{83} +(-54.1825 - 93.8468i) q^{84} +(-1.70529 - 111.216i) q^{85} +39.3216i q^{86} +(-2.49047 + 9.29457i) q^{87} +(7.87336 + 29.3838i) q^{88} +(-30.9180 + 53.5516i) q^{89} +(-146.934 - 81.8546i) q^{90} +(-118.336 - 33.6006i) q^{91} +(8.58969 + 8.58969i) q^{92} +(-52.3826 + 14.0359i) q^{93} +(33.1038 + 19.1125i) q^{94} +(-4.58837 - 4.44979i) q^{95} -32.3908i q^{96} +(3.56308 + 0.954724i) q^{97} +(-14.8392 + 55.3806i) q^{98} +255.828 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 14 q^{2} + 8 q^{5} + 4 q^{7} - 56 q^{8} - 48 q^{9} - 12 q^{10} - 12 q^{11} - 24 q^{13} + 10 q^{15} + 56 q^{16} + 50 q^{17} - 92 q^{18} - 36 q^{19} + 8 q^{20} + 12 q^{22} + 68 q^{23} - 6 q^{25} + 42 q^{26}+ \cdots + 16 q^{99}+O(q^{100}) \) 28 * q - 14 * q^2 + 8 * q^5 + 4 * q^7 - 56 * q^8 - 48 * q^9 - 12 * q^10 - 12 * q^11 - 24 * q^13 + 10 * q^15 + 56 * q^16 + 50 * q^17 - 92 * q^18 - 36 * q^19 + 8 * q^20 + 12 * q^22 + 68 * q^23 - 6 * q^25 + 42 * q^26 - 24 * q^27 - 8 * q^28 + 186 * q^29 + 12 * q^30 + 56 * q^32 - 164 * q^33 - 20 * q^34 - 18 * q^35 + 92 * q^36 + 24 * q^37 + 72 * q^38 + 156 * q^39 - 20 * q^40 + 48 * q^41 - 204 * q^42 + 80 * q^43 + 26 * q^45 - 96 * q^46 + 104 * q^47 + 96 * q^49 + 18 * q^50 - 336 * q^51 - 96 * q^52 + 126 * q^53 + 24 * q^54 - 502 * q^55 - 16 * q^56 + 160 * q^57 - 130 * q^58 + 80 * q^59 + 136 * q^60 - 336 * q^61 - 108 * q^62 + 396 * q^63 + 160 * q^65 - 64 * q^66 - 32 * q^67 + 100 * q^68 + 264 * q^69 + 200 * q^70 - 60 * q^71 + 188 * q^72 - 286 * q^73 + 6 * q^74 - 684 * q^75 + 24 * q^76 + 424 * q^77 + 128 * q^78 + 40 * q^80 + 86 * q^81 + 42 * q^82 - 64 * q^83 - 96 * q^84 + 356 * q^85 + 384 * q^87 + 24 * q^88 - 348 * q^89 - 294 * q^90 + 192 * q^91 + 80 * q^92 - 336 * q^93 + 432 * q^94 - 446 * q^95 - 86 * q^97 - 82 * q^98 + 16 * q^99

Introduction

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