LMFDB - Embedded newform 287.3.x.a.31.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,3,Mod(31,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 21]))

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

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

chi := DirichletCharacter("287.31");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	287.x (of order $30$, degree $8$, 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:	$7.82018358714$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$54$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			31.5
Character	$\chi$	$=$	287.31
Dual form			287.3.x.a.250.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.367514 + 3.49667i) q^{2} +(1.64260 - 2.84507i) q^{3} +(-8.17901 - 1.73850i) q^{4} +(3.05662 + 2.75219i) q^{5} +(9.34458 + 6.78924i) q^{6} +(-1.45189 - 6.84777i) q^{7} +(4.73894 - 14.5850i) q^{8} +(-0.896289 - 1.55242i) q^{9} +O(q^{10})$	\(q+(-0.367514 + 3.49667i) q^{2} +(1.64260 - 2.84507i) q^{3} +(-8.17901 - 1.73850i) q^{4} +(3.05662 + 2.75219i) q^{5} +(9.34458 + 6.78924i) q^{6} +(-1.45189 - 6.84777i) q^{7} +(4.73894 - 14.5850i) q^{8} +(-0.896289 - 1.55242i) q^{9} +(-10.7469 + 9.67651i) q^{10} +(-8.72873 + 7.85938i) q^{11} +(-18.3810 + 20.4142i) q^{12} +(15.2813 + 11.1025i) q^{13} +(24.4780 - 2.56011i) q^{14} +(12.8510 - 4.17554i) q^{15} +(18.7018 + 8.32659i) q^{16} +(21.0813 + 23.4131i) q^{17} +(5.75768 - 2.56349i) q^{18} +(17.5344 + 7.80680i) q^{19} +(-20.2154 - 27.8242i) q^{20} +(-21.8673 - 7.11745i) q^{21} +(-24.2737 - 33.4099i) q^{22} +(-1.68357 + 16.0181i) q^{23} +(-33.7111 - 37.4399i) q^{24} +(-0.844852 - 8.03823i) q^{25} +(-44.4377 + 49.3531i) q^{26} +23.6779 q^{27} +(-0.0298633 + 58.5322i) q^{28} +(29.3313 - 9.53032i) q^{29} +(9.87755 + 46.4702i) q^{30} +(-21.1107 + 19.0082i) q^{31} +(-5.31740 + 9.21000i) q^{32} +(8.02267 + 37.7437i) q^{33} +(-89.6156 + 65.1095i) q^{34} +(14.4085 - 24.9269i) q^{35} +(4.63187 + 14.2554i) q^{36} +(-30.5821 + 33.9648i) q^{37} +(-33.7419 + 58.4427i) q^{38} +(56.6884 - 25.2393i) q^{39} +(54.6258 - 31.5382i) q^{40} +(25.4013 - 32.1835i) q^{41} +(32.9239 - 73.8468i) q^{42} +(-56.9760 - 41.3955i) q^{43} +(85.0559 - 49.1071i) q^{44} +(1.53294 - 7.21191i) q^{45} +(-55.3913 - 11.7738i) q^{46} +(7.39034 - 70.3144i) q^{47} +(54.4094 - 39.5308i) q^{48} +(-44.7840 + 19.8844i) q^{49} +28.4175 q^{50} +(101.240 - 21.5193i) q^{51} +(-105.684 - 117.374i) q^{52} +(-6.38010 + 30.0160i) q^{53} +(-8.70196 + 82.7936i) q^{54} -48.3109 q^{55} +(-106.755 - 11.2755i) q^{56} +(51.0129 - 37.0630i) q^{57} +(22.5447 + 106.064i) q^{58} +(-26.6449 - 59.8453i) q^{59} +(-112.368 + 11.8103i) q^{60} +(15.9964 - 35.9286i) q^{61} +(-58.7068 - 80.8030i) q^{62} +(-9.32929 + 8.39152i) q^{63} +(35.9977 + 26.1539i) q^{64} +(16.1528 + 75.9930i) q^{65} +(-134.926 + 14.1812i) q^{66} +(1.06118 - 4.99244i) q^{67} +(-131.720 - 228.146i) q^{68} +(42.8073 + 31.1013i) q^{69} +(81.8658 + 59.5428i) q^{70} +(-13.7393 - 4.46416i) q^{71} +(-26.8894 + 5.71552i) q^{72} +(18.8985 + 10.9111i) q^{73} +(-107.524 - 119.418i) q^{74} +(-24.2571 - 10.7999i) q^{75} +(-129.842 - 94.3354i) q^{76} +(66.4924 + 48.3614i) q^{77} +(67.4196 + 207.496i) q^{78} +(15.0156 - 8.66926i) q^{79} +(34.2480 + 76.9223i) q^{80} +(46.9599 - 81.3370i) q^{81} +(103.200 + 100.648i) q^{82} +151.164i q^{83} +(166.479 + 96.2300i) q^{84} +129.585i q^{85} +(165.686 - 184.013i) q^{86} +(21.0653 - 99.1042i) q^{87} +(73.2639 + 164.553i) q^{88} +(20.6047 + 9.17382i) q^{89} +(24.6543 + 8.01065i) q^{90} +(53.8406 - 120.762i) q^{91} +(41.6175 - 128.086i) q^{92} +(19.4031 + 91.2845i) q^{93} +(243.150 + 51.6831i) q^{94} +(32.1100 + 72.1204i) q^{95} +(17.4687 + 30.2567i) q^{96} +(-18.0773 - 55.6363i) q^{97} +(-53.0703 - 163.903i) q^{98} +(20.0245 + 6.50635i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 3 q^{2} + 101 q^{4} - 9 q^{5} - 10 q^{7} - 40 q^{8} - 624 q^{9}+O(q^{10}) $ 432 * q - 3 * q^2 + 101 * q^4 - 9 * q^5 - 10 * q^7 - 40 * q^8 - 624 * q^9	$ 432 q - 3 q^{2} + 101 q^{4} - 9 q^{5} - 10 q^{7} - 40 q^{8} - 624 q^{9} - 90 q^{10} - 5 q^{11} - 15 q^{12} + 70 q^{15} + 197 q^{16} - 15 q^{17} - 6 q^{18} - 15 q^{19} + 166 q^{21} + 60 q^{22} + 18 q^{23} + 480 q^{24} - 213 q^{25} - 15 q^{26} - 105 q^{28} + 360 q^{29} - 15 q^{30} - 45 q^{31} + 142 q^{32} + 36 q^{33} - 150 q^{35} + 46 q^{36} + 82 q^{37} - 80 q^{39} - 54 q^{40} + 228 q^{42} - 88 q^{43} + 330 q^{45} - 96 q^{46} - 15 q^{47} + 50 q^{49} - 472 q^{50} + 150 q^{51} - 15 q^{52} - 230 q^{53} + 465 q^{54} + 180 q^{56} + 382 q^{57} - 5 q^{58} - 207 q^{59} - 480 q^{60} - 441 q^{61} + 200 q^{63} - 128 q^{64} - 290 q^{65} - 918 q^{66} + 115 q^{67} + 1175 q^{70} - 730 q^{71} - 309 q^{72} - 78 q^{73} + 589 q^{74} + 240 q^{75} + 684 q^{77} - 434 q^{78} - 27 q^{80} - 1936 q^{81} - 309 q^{82} - 173 q^{84} - 439 q^{86} - 1002 q^{87} + 1335 q^{89} - 274 q^{91} - 270 q^{92} + 765 q^{93} + 1515 q^{94} + 715 q^{95} - 454 q^{98} + 480 q^{99}+O(q^{100}) $ 432 * q - 3 * q^2 + 101 * q^4 - 9 * q^5 - 10 * q^7 - 40 * q^8 - 624 * q^9 - 90 * q^10 - 5 * q^11 - 15 * q^12 + 70 * q^15 + 197 * q^16 - 15 * q^17 - 6 * q^18 - 15 * q^19 + 166 * q^21 + 60 * q^22 + 18 * q^23 + 480 * q^24 - 213 * q^25 - 15 * q^26 - 105 * q^28 + 360 * q^29 - 15 * q^30 - 45 * q^31 + 142 * q^32 + 36 * q^33 - 150 * q^35 + 46 * q^36 + 82 * q^37 - 80 * q^39 - 54 * q^40 + 228 * q^42 - 88 * q^43 + 330 * q^45 - 96 * q^46 - 15 * q^47 + 50 * q^49 - 472 * q^50 + 150 * q^51 - 15 * q^52 - 230 * q^53 + 465 * q^54 + 180 * q^56 + 382 * q^57 - 5 * q^58 - 207 * q^59 - 480 * q^60 - 441 * q^61 + 200 * q^63 - 128 * q^64 - 290 * q^65 - 918 * q^66 + 115 * q^67 + 1175 * q^70 - 730 * q^71 - 309 * q^72 - 78 * q^73 + 589 * q^74 + 240 * q^75 + 684 * q^77 - 434 * q^78 - 27 * q^80 - 1936 * q^81 - 309 * q^82 - 173 * q^84 - 439 * q^86 - 1002 * q^87 + 1335 * q^89 - 274 * q^91 - 270 * q^92 + 765 * q^93 + 1515 * q^94 + 715 * q^95 - 454 * q^98 + 480 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.367514	+	3.49667i	−0.183757	+	1.74833i	0.382365	+	0.924011i	$0.375110\pi$
$2$	−0.367514	+	3.49667i	−0.183757	+	1.74833i	−0.566122	+	0.824321i	$0.691557\pi$
$3$	1.64260	−	2.84507i	0.547534	−	0.948357i	−0.450908	−	0.892570i	$-0.648900\pi$
$3$	1.64260	−	2.84507i	0.547534	−	0.948357i	0.998443	−	0.0557870i	$-0.0177668\pi$
$4$	−8.17901	−	1.73850i	−2.04475	−	0.434626i
$5$	3.05662	+	2.75219i	0.611324	+	0.550439i	0.915572	−	0.402154i	$-0.131738\pi$
$5$	3.05662	+	2.75219i	0.611324	+	0.550439i	−0.304248	+	0.952593i	$0.598405\pi$
$6$	9.34458	+	6.78924i	1.55743	+	1.13154i
$7$	−1.45189	−	6.84777i	−0.207413	−	0.978254i
$7$	−1.45189	−	6.84777i	−0.207413	−	0.978254i
$8$	4.73894	−	14.5850i	0.592368	−	1.82312i
$9$	−0.896289	−	1.55242i	−0.0995876	−	0.172491i
$10$	−10.7469	+	9.67651i	−1.07469	+	0.967651i
$11$	−8.72873	+	7.85938i	−0.793521	+	0.714489i	−0.962545	−	0.271123i	$-0.912605\pi$
$11$	−8.72873	+	7.85938i	−0.793521	+	0.714489i	0.169024	+	0.985612i	$0.445938\pi$
$12$	−18.3810	+	20.4142i	−1.53175	+	1.70118i
$13$	15.2813	+	11.1025i	1.17548	+	0.854037i	0.991655	−	0.128922i	$-0.0411517\pi$
$13$	15.2813	+	11.1025i	1.17548	+	0.854037i	0.183826	+	0.982959i	$0.441152\pi$
$14$	24.4780	−	2.56011i	1.74843	−	0.182865i
$15$	12.8510	−	4.17554i	0.856733	−	0.278370i
$16$	18.7018	+	8.32659i	1.16886	+	0.520412i
$17$	21.0813	+	23.4131i	1.24008	+	1.37724i	0.899438	+	0.437049i	$0.143976\pi$
$17$	21.0813	+	23.4131i	1.24008	+	1.37724i	0.340638	+	0.940195i	$0.389357\pi$
$18$	5.75768	−	2.56349i	0.319871	−	0.142416i
$19$	17.5344	+	7.80680i	0.922861	+	0.410884i	0.812469	−	0.583004i	$-0.198123\pi$
$19$	17.5344	+	7.80680i	0.922861	+	0.410884i	0.110392	+	0.993888i	$0.464790\pi$
$20$	−20.2154	−	27.8242i	−1.01077	−	1.39121i
$21$	−21.8673	−	7.11745i	−1.04130	−	0.338926i
$22$	−24.2737	−	33.4099i	−1.10335	−	1.51863i
$23$	−1.68357	+	16.0181i	−0.0731988	+	0.696440i	0.894967	+	0.446132i	$0.147199\pi$
$23$	−1.68357	+	16.0181i	−0.0731988	+	0.696440i	−0.968166	+	0.250309i	$0.919468\pi$
$24$	−33.7111	−	37.4399i	−1.40463	−	1.56000i
$25$	−0.844852	−	8.03823i	−0.0337941	−	0.321529i
$26$	−44.4377	+	49.3531i	−1.70914	+	1.89820i
$27$	23.6779			0.876958
$28$	−0.0298633	+	58.5322i	−0.00106655	+	2.09043i
$29$	29.3313	−	9.53032i	1.01142	−	0.328632i	0.244003	−	0.969774i	$-0.421539\pi$
$29$	29.3313	−	9.53032i	1.01142	−	0.328632i	0.767422	+	0.641143i	$0.221539\pi$
$30$	9.87755	+	46.4702i	0.329252	+	1.54901i
$31$	−21.1107	+	19.0082i	−0.680992	+	0.613168i	−0.935258	−	0.353967i	$-0.884833\pi$
$31$	−21.1107	+	19.0082i	−0.680992	+	0.613168i	0.254266	+	0.967134i	$0.418166\pi$
$32$	−5.31740	+	9.21000i	−0.166169	+	0.287812i
$33$	8.02267	+	37.7437i	0.243111	+	1.14375i
$34$	−89.6156	+	65.1095i	−2.63575	+	1.91499i
$35$	14.4085	−	24.9269i	0.411672	−	0.712198i
$36$	4.63187	+	14.2554i	0.128663	+	0.395984i
$37$	−30.5821	+	33.9648i	−0.826542	+	0.917968i	−0.997735	−	0.0672692i	$-0.978571\pi$
$37$	−30.5821	+	33.9648i	−0.826542	+	0.917968i	0.171192	+	0.985238i	$0.445238\pi$
$38$	−33.7419	+	58.4427i	−0.887944	+	1.53796i
$39$	56.6884	−	25.2393i	1.45355	−	0.647161i
$40$	54.6258	−	31.5382i	1.36565	−	0.788456i
$41$	25.4013	−	32.1835i	0.619543	−	0.784963i
$41$	25.4013	−	32.1835i	0.619543	−	0.784963i
$42$	32.9239	−	73.8468i	0.783902	−	1.75826i
$43$	−56.9760	−	41.3955i	−1.32502	−	0.962686i	−0.999855	−	0.0170300i	$-0.994579\pi$
$43$	−56.9760	−	41.3955i	−1.32502	−	0.962686i	−0.325169	−	0.945656i	$-0.605421\pi$
$44$	85.0559	−	49.1071i	1.93309	−	1.11607i
$45$	1.53294	−	7.21191i	0.0340653	−	0.160265i
$46$	−55.3913	−	11.7738i	−1.20416	−	0.255952i
$47$	7.39034	−	70.3144i	0.157241	−	1.49605i	−0.576766	−	0.816909i	$-0.695686\pi$
$47$	7.39034	−	70.3144i	0.157241	−	1.49605i	0.734008	−	0.679141i	$-0.237648\pi$
$48$	54.4094	−	39.5308i	1.13353	−	0.823557i
$49$	−44.7840	+	19.8844i	−0.913960	+	0.405804i
$50$	28.4175			0.568350
$51$	101.240	−	21.5193i	1.98510	−	0.421947i
$52$	−105.684	−	117.374i	−2.03238	−	2.25719i
$53$	−6.38010	+	30.0160i	−0.120379	+	0.566340i	0.876073	+	0.482179i	$0.160154\pi$
$53$	−6.38010	+	30.0160i	−0.120379	+	0.566340i	−0.996452	+	0.0841610i	$0.973179\pi$
$54$	−8.70196	+	82.7936i	−0.161147	+	1.53321i
$55$	−48.3109			−0.878381
$56$	−106.755	−	11.2755i	−1.90634	−	0.201348i
$57$	51.0129	−	37.0630i	0.894963	−	0.650229i
$58$	22.5447	+	106.064i	0.388701	+	1.82870i
$59$	−26.6449	−	59.8453i	−0.451608	−	1.01433i	−0.985639	−	0.168863i	$-0.945990\pi$
$59$	−26.6449	−	59.8453i	−0.451608	−	1.01433i	0.534032	−	0.845464i	$-0.320676\pi$
$60$	−112.368	+	11.8103i	−1.87279	+	0.196839i
$61$	15.9964	−	35.9286i	0.262237	−	0.588994i	−0.733657	−	0.679520i	$-0.762188\pi$
$61$	15.9964	−	35.9286i	0.262237	−	0.588994i	0.995894	+	0.0905261i	$0.0288549\pi$
$62$	−58.7068	−	80.8030i	−0.946884	−	1.30327i
$63$	−9.32929	+	8.39152i	−0.148084	+	0.133199i
$64$	35.9977	+	26.1539i	0.562465	+	0.408654i
$65$	16.1528	+	75.9930i	0.248505	+	1.16912i
$66$	−134.926	+	14.1812i	−2.04433	+	0.214867i
$67$	1.06118	−	4.99244i	0.0158384	−	0.0745140i	−0.969519	−	0.245018i	$-0.921206\pi$
$67$	1.06118	−	4.99244i	0.0158384	−	0.0745140i	0.985357	+	0.170504i	$0.0545395\pi$
$68$	−131.720	−	228.146i	−1.93706	−	3.35509i
$69$	42.8073	+	31.1013i	0.620395	+	0.450744i
$70$	81.8658	+	59.5428i	1.16951	+	0.850612i
$71$	−13.7393	−	4.46416i	−0.193511	−	0.0628755i	0.210658	−	0.977560i	$-0.432439\pi$
$71$	−13.7393	−	4.46416i	−0.193511	−	0.0628755i	−0.404169	+	0.914684i	$0.632439\pi$
$72$	−26.8894	+	5.71552i	−0.373464	+	0.0793823i
$73$	18.8985	+	10.9111i	0.258884	+	0.149466i	0.623825	−	0.781564i	$-0.285578\pi$
$73$	18.8985	+	10.9111i	0.258884	+	0.149466i	−0.364942	+	0.931030i	$0.618911\pi$
$74$	−107.524	−	119.418i	−1.45303	−	1.61375i
$75$	−24.2571	−	10.7999i	−0.323428	−	0.143999i
$76$	−129.842	−	94.3354i	−1.70844	−	1.24126i
$77$	66.4924	+	48.3614i	0.863538	+	0.628070i
$78$	67.4196	+	207.496i	0.864353	+	2.66021i
$79$	15.0156	−	8.66926i	0.190071	−	0.109738i	−0.401945	−	0.915664i	$-0.631666\pi$
$79$	15.0156	−	8.66926i	0.190071	−	0.109738i	0.592016	+	0.805926i	$0.298332\pi$
$80$	34.2480	+	76.9223i	0.428100	+	0.961528i
$81$	46.9599	−	81.3370i	0.579752	−	1.00416i
$82$	103.200	+	100.648i	1.25853	+	1.22741i
$83$			151.164i			1.82125i	0.413233	+	0.910625i	$0.364400\pi$
$83$			151.164i			1.82125i	−0.413233	+	0.910625i	$0.635600\pi$
$84$	166.479	+	96.2300i	1.98189	+	1.14560i
$85$			129.585i			1.52453i
$86$	165.686	−	184.013i	1.92658	−	2.13968i
$87$	21.0653	−	99.1042i	0.242129	−	1.13913i
$88$	73.2639	+	164.553i	0.832544	+	1.86992i
$89$	20.6047	+	9.17382i	0.231514	+	0.103077i	0.519215	−	0.854644i	$-0.326224\pi$
$89$	20.6047	+	9.17382i	0.231514	+	0.103077i	−0.287701	+	0.957720i	$0.592891\pi$
$90$	24.6543	+	8.01065i	0.273936	+	0.0890073i
$91$	53.8406	−	120.762i	0.591655	−	1.32706i
$92$	41.6175	−	128.086i	0.452364	−	1.39223i
$93$	19.4031	+	91.2845i	0.208636	+	0.981554i
$94$	243.150	+	51.6831i	2.58670	+	0.549820i
$95$	32.1100	+	72.1204i	0.338001	+	0.759162i
$96$	17.4687	+	30.2567i	0.181966	+	0.315174i
$97$	−18.0773	−	55.6363i	−0.186364	−	0.573570i	0.813605	−	0.581418i	$-0.197502\pi$
$97$	−18.0773	−	55.6363i	−0.186364	−	0.573570i	−0.999969	+	0.00784803i	$0.997502\pi$
$98$	−53.0703	−	163.903i	−0.541534	−	1.67248i
$99$	20.0245	+	6.50635i	0.202268	+	0.0657207i
$100$	−7.06443	+	67.2135i	−0.0706443	+	0.672135i
$101$	−4.30988	−	41.0058i	−0.0426721	−	0.405998i	−0.994920	−	0.100671i	$-0.967901\pi$
$101$	−4.30988	−	41.0058i	−0.0426721	−	0.405998i	0.952248	−	0.305327i	$-0.0987657\pi$
$102$	38.0385	+	361.912i	0.372926	+	3.54816i
$103$	−16.5433	+	37.1568i	−0.160614	+	0.360745i	−0.975869	−	0.218357i	$-0.929930\pi$
$103$	−16.5433	+	37.1568i	−0.160614	+	0.360745i	0.815255	+	0.579103i	$0.196597\pi$
$104$	234.346	−	170.263i	2.25333	−	1.63714i
$105$	−47.2514	−	81.9383i	−0.450013	−	0.780365i
$106$	−102.611	−	33.3404i	−0.968029	−	0.314532i
$107$	−101.388	−	45.1408i	−0.947550	−	0.421877i	−0.126011	−	0.992029i	$-0.540218\pi$
$107$	−101.388	−	45.1408i	−0.947550	−	0.421877i	−0.821539	+	0.570152i	$0.806884\pi$
$108$	−193.662	−	41.1640i	−1.79316	−	0.381149i
$109$	1.64649	+	0.950603i	0.0151054	+	0.00872113i	0.507534	−	0.861632i	$-0.330557\pi$
$109$	1.64649	+	0.950603i	0.0151054	+	0.00872113i	−0.492428	+	0.870353i	$0.663891\pi$
$110$	17.7550	−	168.927i	0.161409	−	1.53570i
$111$	46.3982	+	142.799i	0.418002	+	1.28648i
$112$	29.8656	−	140.155i	0.266658	−	1.25139i
$113$	−35.8646	+	110.380i	−0.317386	+	0.976813i	0.657375	+	0.753563i	$0.271667\pi$
$113$	−35.8646	+	110.380i	−0.317386	+	0.976813i	−0.974761	+	0.223250i	$0.928333\pi$
$114$	110.849	+	191.996i	0.972360	+	1.68418i
$115$	−49.2310	+	44.3278i	−0.428096	+	0.385459i
$116$	−256.470	+	26.9561i	−2.21095	+	0.232380i
$117$	3.53927	−	33.6739i	0.0302502	−	0.287811i
$118$	219.051	−	71.1741i	1.85637	−	0.603171i
$119$	129.720	−	178.353i	1.09009	−	1.49877i
$120$		−	207.219i		−	1.72683i
$121$	1.77286	−	16.8676i	0.0146517	−	0.139402i
$122$	119.751	+	69.1385i	0.981569	+	0.566709i
$123$	−49.8401	−	125.133i	−0.405204	−	1.01734i
$124$	205.711	−	118.767i	1.65896	−	0.957800i
$125$	79.9807	−	110.084i	0.639845	−	0.880672i
$126$	−25.9137	−	35.7054i	−0.205664	−	0.283376i
$127$	−13.0403	−	40.1338i	−0.102679	−	0.316014i	0.886499	−	0.462730i	$-0.153130\pi$
$127$	−13.0403	−	40.1338i	−0.102679	−	0.316014i	−0.989179	+	0.146715i	$0.953130\pi$
$128$	−133.145	+	147.873i	−1.04020	+	1.15526i
$129$	−211.362	+	94.1045i	−1.63847	+	0.729492i
$130$	−271.659	+	28.5525i	−2.08968	+	0.219634i
$131$	−14.0933	−	66.3036i	−0.107582	−	0.506134i	−0.998635	−	0.0522344i	$-0.983366\pi$
$131$	−14.0933	−	66.3036i	−0.107582	−	0.506134i	0.891053	−	0.453900i	$-0.149968\pi$
$132$		−	322.654i		−	2.44435i
$133$	28.0013	−	131.406i	0.210536	−	0.988014i
$134$	17.0669	+	5.54537i	0.127365	+	0.0413833i
$135$	72.3743	+	65.1661i	0.536106	+	0.482712i
$136$	441.383	−	196.516i	3.24546	−	1.44497i
$137$	139.533	+	80.5593i	1.01849	+	0.588024i	0.913665	−	0.406467i	$-0.133239\pi$
$137$	139.533	+	80.5593i	1.01849	+	0.588024i	0.104822	+	0.994491i	$0.466573\pi$
$138$	−124.483	+	138.253i	−0.902052	+	1.00183i
$139$	13.2853	+	18.2856i	0.0955775	+	0.131551i	0.854127	−	0.520064i	$-0.174092\pi$
$139$	13.2853	+	18.2856i	0.0955775	+	0.131551i	−0.758550	+	0.651615i	$0.774092\pi$
$140$	−161.183	+	178.828i	−1.15131	+	1.27735i
$141$	−187.910	−	136.525i	−1.33270	−	0.968260i
$142$	20.6590	−	46.4010i	0.145486	−	0.326767i
$143$	−220.644	+	23.1907i	−1.54297	+	0.162172i
$144$	−3.83589	−	36.4961i	−0.0266381	−	0.253445i
$145$	115.884	+	51.5949i	0.799200	+	0.355827i
$146$	−45.0978	+	62.0718i	−0.308889	+	0.425149i
$147$	−16.9898	+	160.076i	−0.115577	+	1.08895i
$148$	309.179	−	224.632i	2.08905	−	1.51778i
$149$	−83.7071	−	75.3702i	−0.561793	−	0.505840i	0.338593	−	0.940933i	$-0.390049\pi$
$149$	−83.7071	−	75.3702i	−0.561793	−	0.505840i	−0.900386	+	0.435092i	$0.856716\pi$
$150$	46.6786	−	80.8498i	0.311191	−	0.538998i
$151$	18.9020	+	42.4547i	0.125179	+	0.281157i	0.965254	−	0.261314i	$-0.0841557\pi$
$151$	18.9020	+	42.4547i	0.125179	+	0.281157i	−0.840075	+	0.542470i	$0.817489\pi$
$152$	196.956	−	218.742i	1.29576	−	1.43909i
$153$	17.4520	−	53.7119i	0.114066	−	0.351058i
$154$	−193.541	+	214.728i	−1.25676	+	1.39434i
$155$	−116.842			−0.753818
$156$	−507.533	+	107.880i	−3.25342	+	0.691536i
$157$	−11.4988	−	109.403i	−0.0732405	−	0.696837i	−0.968113	−	0.250515i	$-0.919400\pi$
$157$	−11.4988	−	109.403i	−0.0732405	−	0.696837i	0.894872	−	0.446322i	$-0.147267\pi$
$158$	24.7951	+	55.6906i	0.156931	+	0.352472i
$159$	74.9177	+	67.4562i	0.471180	+	0.424253i
$160$	−41.6010	+	13.5170i	−0.260006	+	0.0844811i
$161$	112.133	−	11.7278i	0.696478	−	0.0728435i
$162$	267.150	+	194.096i	1.64907	+	1.19812i
$163$	−83.0633	−	143.870i	−0.509591	−	0.882637i	−0.999938	−	0.0111103i	$-0.996463\pi$
$163$	−83.0633	−	143.870i	−0.509591	−	0.882637i	0.490347	−	0.871527i	$-0.336870\pi$
$164$	−263.708	+	219.069i	−1.60798	+	1.33579i
$165$	−79.3557	+	137.448i	−0.480944	+	0.833019i
$166$	−528.569	−	55.5549i	−3.18415	−	0.334668i
$167$	−83.2090			−0.498257			−0.249129	−	0.968470i	$-0.580144\pi$
$167$	−83.2090			−0.498257			−0.249129	+	0.968470i	$0.580144\pi$
$168$	−207.436	+	285.205i	−1.23474	+	1.69765i
$169$	58.0277	+	178.591i	0.343359	+	1.05675i
$170$	−453.115	−	47.6243i	−2.66538	−	0.280143i
$171$	−3.59643	−	34.2178i	−0.0210318	−	0.200104i
$172$	394.041	+	437.627i	2.29094	+	2.54434i
$173$	224.761	−	129.766i	1.29920	−	0.750091i	0.318931	−	0.947778i	$-0.396676\pi$
$173$	224.761	−	129.766i	1.29920	−	0.750091i	0.980265	+	0.197687i	$0.0633429\pi$
$174$	338.793	+	110.080i	1.94708	+	0.632646i
$175$	−53.8173	+	17.4560i	−0.307528	+	0.0997483i
$176$	−228.685	+	74.3042i	−1.29935	+	0.422183i
$177$	−214.031	−	22.4956i	−1.20922	−	0.127094i
$178$	−39.6503	+	68.6763i	−0.222755	+	0.385822i
$179$	63.0328	−	296.546i	0.352139	−	1.65668i	−0.344146	−	0.938916i	$-0.611831\pi$
$179$	63.0328	−	296.546i	0.352139	−	1.65668i	0.696285	−	0.717766i	$-0.254835\pi$
$180$	−25.0759	+	56.3213i	−0.139310	+	0.312896i
$181$	−54.6616	+	168.231i	−0.301998	+	0.929454i	0.678782	+	0.734339i	$0.262508\pi$
$181$	−54.6616	+	168.231i	−0.301998	+	0.929454i	−0.980780	+	0.195115i	$0.937492\pi$
$182$	402.478	+	232.644i	2.21142	+	1.27827i
$183$	−75.9437	−	104.527i	−0.414993	−	0.571188i
$184$	225.646	+	100.464i	1.22633	+	0.545999i
$185$	−186.956	+	19.6498i	−1.01057	+	0.106215i
$186$	−326.322	+	34.2979i	−1.75442	+	0.184397i
$187$	−368.026	−	38.6810i	−1.96805	−	0.206850i
$188$	−182.687	+	562.254i	−0.971742	+	2.99071i
$189$	−34.3776	−	162.141i	−0.181892	−	0.857887i
$190$	−263.982	+	85.7728i	−1.38938	+	0.451436i
$191$	−281.358	+	162.442i	−1.47308	+	0.850484i	−0.999541	−	0.0302890i	$-0.990357\pi$
$191$	−281.358	+	162.442i	−1.47308	+	0.850484i	−0.473540	+	0.880773i	$0.657024\pi$
$192$	133.540	−	59.4557i	0.695519	−	0.309665i
$193$	19.5937	−	92.1810i	0.101522	−	0.477622i	−0.897787	−	0.440431i	$-0.854826\pi$
$193$	19.5937	−	92.1810i	0.101522	−	0.477622i	0.999308	−	0.0371909i	$-0.0118410\pi$
$194$	201.185	−	42.7632i	1.03704	−	0.220429i
$195$	242.738	+	78.8704i	1.24481	+	0.404464i
$196$	400.858	−	84.7776i	2.04520	−	0.432539i
$197$	72.4392	−	222.945i	0.367712	−	1.13170i	−0.580554	−	0.814222i	$-0.697164\pi$
$197$	72.4392	−	222.945i	0.367712	−	1.13170i	0.948265	−	0.317479i	$-0.102836\pi$
$198$	−30.1098	+	67.6278i	−0.152070	+	0.341554i
$199$	75.8046	−	33.7504i	0.380928	−	0.169600i	−0.207335	−	0.978270i	$-0.566479\pi$
$199$	75.8046	−	33.7504i	0.380928	−	0.169600i	0.588262	+	0.808670i	$0.299812\pi$
$200$	−121.241	−	25.7706i	−0.606205	−	0.128853i
$201$	−12.4607	−	11.2197i	−0.0619938	−	0.0558194i
$202$	144.967			0.717660
$203$	−107.847	−	187.017i	−0.531267	−	0.921267i
$204$	−865.457			−4.24243
$205$	166.217	−	28.4635i	0.810815	−	0.138846i
$206$	−123.845	−	71.5019i	−0.601189	−	0.347097i
$207$	26.3758	−	11.7433i	0.127419	−	0.0567307i
$208$	193.341	+	334.877i	0.929526	+	1.60999i
$209$	−214.409	+	69.6658i	−1.02588	+	0.333329i
$210$	303.877	−	135.109i	1.44703	−	0.643375i
$211$	24.8955	−	34.2657i	0.117988	−	0.162396i	−0.745938	−	0.666015i	$-0.767998\pi$
$211$	24.8955	−	34.2657i	0.117988	−	0.162396i	0.863926	+	0.503619i	$0.167998\pi$
$212$	104.366	−	234.409i	0.492291	−	1.10570i
$213$	−35.2690	+	31.7564i	−0.165582	+	0.149091i
$214$	195.104	−	337.930i	0.911700	−	1.57911i
$215$	−60.2256	−	283.339i	−0.280119	−	1.31786i
$216$	112.208	−	345.341i	0.519482	−	1.59880i
$217$	160.814	+	116.964i	0.741080	+	0.539004i
$218$	−3.92905	+	5.40787i	−0.0180232	+	0.0248068i
$219$	62.0855	−	35.8451i	0.283495	−	0.163676i
$220$	395.136	+	83.9887i	1.79607	+	0.381767i
$221$	62.2045	+	591.837i	0.281468	+	2.67799i
$222$	−516.372	+	109.758i	−2.32600	+	0.494407i
$223$	159.739	−	219.862i	0.716318	−	0.985927i	−0.283320	−	0.959025i	$-0.591436\pi$
$223$	159.739	−	219.862i	0.716318	−	0.985927i	0.999638	−	0.0269016i	$-0.00856409\pi$
$224$	70.7883	+	23.0404i	0.316019	+	0.102859i
$225$	−11.7214	+	8.51613i	−0.0520953	+	0.0378495i
$226$	−372.781	−	165.973i	−1.64947	−	0.734393i
$227$	3.68533	+	35.0636i	0.0162350	+	0.154465i	0.999636	−	0.0269802i	$-0.00858910\pi$
$227$	3.68533	+	35.0636i	0.0162350	+	0.154465i	−0.983401	+	0.181445i	$0.941922\pi$
$228$	−481.669	+	214.453i	−2.11258	+	0.940583i
$229$	−136.001	+	28.9079i	−0.593891	+	0.126235i	−0.495045	−	0.868867i	$-0.664848\pi$
$229$	−136.001	+	28.9079i	−0.593891	+	0.126235i	−0.0988458	+	0.995103i	$0.531515\pi$
$230$	−136.906	−	188.436i	−0.595246	−	0.819285i
$231$	246.812	−	109.737i	1.06845	−	0.475052i
$232$		−	472.960i		−	2.03862i
$233$	62.2885	+	6.54679i	0.267333	+	0.0280978i	0.237246	−	0.971449i	$-0.423755\pi$
$233$	62.2885	+	6.54679i	0.267333	+	0.0280978i	0.0300864	+	0.999547i	$0.490422\pi$
$234$	116.446	+	24.7513i	0.497631	+	0.105775i
$235$	216.108	−	194.585i	0.919609	−	0.828020i
$236$	113.887	+	535.798i	0.482574	+	2.27033i
$237$		−	56.9606i		−	0.240340i
$238$	575.967	+	519.136i	2.42003	+	2.18124i
$239$	−50.9090	−	70.0702i	−0.213008	−	0.293181i	0.689121	−	0.724646i	$-0.257997\pi$
$239$	−50.9090	−	70.0702i	−0.213008	−	0.293181i	−0.902130	+	0.431465i	$0.857997\pi$
$240$	275.105	+	28.9147i	1.14627	+	0.120478i
$241$	79.9289	−	376.036i	0.331655	−	1.56031i	−0.424196	−	0.905571i	$-0.639443\pi$
$241$	79.9289	−	376.036i	0.331655	−	1.56031i	0.755851	−	0.654744i	$-0.227223\pi$
$242$	58.3288	+	12.3982i	0.241028	+	0.0512321i
$243$	−47.7226	−	82.6580i	−0.196389	−	0.340156i
$244$	−193.297	+	266.051i	−0.792201	+	1.09037i
$245$	−191.614	−	62.4753i	−0.782096	−	0.255001i
$246$	455.865	−	128.286i	1.85311	−	0.521488i
$247$	181.272	+	313.972i	0.733895	+	1.27114i
$248$	177.191	+	397.978i	0.714481	+	1.60475i
$249$	430.072	+	248.302i	1.72720	+	0.997197i
$250$	355.533	+	320.123i	1.42213	+	1.28049i
$251$	−33.3048	+	10.8214i	−0.132688	+	0.0431130i	−0.374608	−	0.927183i	$-0.622223\pi$
$251$	−33.3048	+	10.8214i	−0.132688	+	0.0431130i	0.241920	+	0.970296i	$0.422223\pi$
$252$	90.8931	−	52.4153i	0.360687	−	0.207997i
$253$	−111.197	−	153.050i	−0.439514	−	0.604940i
$254$	145.127	−	30.8477i	0.571366	−	0.121448i
$255$	368.678	+	212.856i	1.44580	+	0.834731i
$256$	−349.036	−	387.643i	−1.36342	−	1.51423i
$257$	−260.128	+	55.2920i	−1.01217	+	0.215144i	−0.684006	−	0.729476i	$-0.739764\pi$
$257$	−260.128	+	55.2920i	−1.01217	+	0.215144i	−0.328166	+	0.944620i	$0.606431\pi$
$258$	−251.373	−	773.647i	−0.974315	−	2.99863i
$259$	276.985	+	160.106i	1.06944	+	0.618170i
$260$		−	649.630i		−	2.49858i
$261$	−41.0844	−	36.9925i	−0.157411	−	0.141734i
$262$	237.021	−	24.9119i	0.904660	−	0.0950836i
$263$	300.169	−	270.274i	1.14133	−	1.02766i	0.142043	−	0.989861i	$-0.454633\pi$
$263$	300.169	−	270.274i	1.14133	−	1.02766i	0.999285	−	0.0377962i	$-0.0120338\pi$
$264$	588.510	+	61.8548i	2.22920	+	0.234299i
$265$	−102.111	+	74.1882i	−0.385326	+	0.279956i
$266$	449.192	+	146.205i	1.68869	+	0.549641i
$267$	59.9456	−	43.5530i	0.224515	−	0.163120i
$268$	−17.3587	+	38.9883i	−0.0647714	+	0.145479i
$269$	71.7285	+	161.105i	0.266649	+	0.598903i	0.996397	−	0.0848130i	$-0.0270293\pi$
$269$	71.7285	+	161.105i	0.266649	+	0.598903i	−0.729748	+	0.683716i	$0.760363\pi$
$270$	−254.463	+	229.119i	−0.942454	+	0.848589i
$271$	−139.941	+	314.313i	−0.516388	+	1.15983i	0.447686	+	0.894191i	$0.352248\pi$
$271$	−139.941	+	314.313i	−0.516388	+	1.15983i	−0.964074	+	0.265635i	$0.914419\pi$
$272$	199.307	+	613.404i	0.732746	+	2.25516i
$273$	−255.138	−	351.545i	−0.934572	−	1.28771i
$274$	−332.969	+	458.293i	−1.21522	+	1.67260i
$275$	70.5499	+	63.5235i	0.256545	+	0.230994i
$276$	−296.052	−	328.799i	−1.07265	−	1.19130i
$277$	−140.932	−	156.521i	−0.508780	−	0.565057i	0.432954	−	0.901416i	$-0.357471\pi$
$277$	−140.932	−	156.521i	−0.508780	−	0.565057i	−0.941734	+	0.336359i	$0.890805\pi$
$278$	−68.8212	+	39.7339i	−0.247558	+	0.142928i
$279$	48.4300	+	15.7359i	0.173584	+	0.0564009i
$280$	−295.277	−	328.275i	−1.05456	−	1.17241i
$281$	−168.598	+	232.055i	−0.599993	+	0.825819i	−0.995708	−	0.0925543i	$-0.970497\pi$
$281$	−168.598	+	232.055i	−0.599993	+	0.825819i	0.395715	+	0.918373i	$0.370497\pi$
$282$	546.441	−	606.884i	1.93773	−	2.15207i
$283$	−61.9528	+	291.465i	−0.218915	+	1.02991i	0.722163	+	0.691723i	$0.243148\pi$
$283$	−61.9528	+	291.465i	−0.218915	+	1.02991i	−0.941078	+	0.338190i	$0.890185\pi$
$284$	104.613	+	60.3982i	0.368354	+	0.212670i
$285$	257.932	+	27.1097i	0.905023	+	0.0951218i
$286$		−	780.043i		−	2.72742i
$287$	−257.265	−	127.215i	−0.896394	−	0.443259i
$288$	19.0637			0.0661933
$289$	−73.5458	+	699.741i	−0.254484	+	2.42125i
$290$	−222.999	+	386.246i	−0.768962	+	1.33188i
$291$	−187.983	−	39.9570i	−0.645990	−	0.137309i
$292$	−135.602	−	122.097i	−0.464391	−	0.418139i
$293$	−103.633	−	75.2939i	−0.353697	−	0.256976i	0.396721	−	0.917939i	$-0.370148\pi$
$293$	−103.633	−	75.2939i	−0.353697	−	0.256976i	−0.750418	+	0.660963i	$0.770148\pi$
$294$	−553.488	−	118.238i	−1.88261	−	0.402170i
$295$	83.2627	−	256.256i	0.282246	−	0.868665i
$296$	350.449	+	606.996i	1.18395	+	2.05066i
$297$	−206.678	+	186.093i	−0.695884	+	0.626577i
$298$	294.308	−	264.996i	0.987611	−	0.889249i
$299$	−203.568	+	226.085i	−0.680830	+	0.756138i
$300$	179.623	+	130.504i	0.598744	+	0.435013i
$301$	−200.744	+	450.261i	−0.666924	+	1.49588i
$302$	−155.396	+	50.4914i	−0.514558	+	0.167190i
$303$	−123.744	−	55.0943i	−0.408395	−	0.181829i
$304$	262.920	+	292.003i	0.864870	+	0.960535i
$305$	147.778	−	65.7948i	0.484517	−	0.215721i
$306$	181.399	+	80.7639i	0.592806	+	0.263934i
$307$	80.2432	+	110.445i	0.261379	+	0.359757i	0.919456	−	0.393194i	$-0.128630\pi$
$307$	80.2432	+	110.445i	0.261379	+	0.359757i	−0.658077	+	0.752951i	$0.728630\pi$
$308$	−459.766	−	511.146i	−1.49275	−	1.65956i
$309$	78.5397	+	108.101i	0.254174	+	0.349840i
$310$	42.9410	−	408.557i	0.138519	−	1.31792i
$311$	129.551	+	143.881i	0.416564	+	0.462641i	0.914508	−	0.404568i	$-0.132578\pi$
$311$	129.551	+	143.881i	0.416564	+	0.462641i	−0.497944	+	0.867209i	$0.665911\pi$
$312$	−99.4713	−	946.406i	−0.318818	−	3.03335i
$313$	43.9578	−	48.8201i	0.140440	−	0.155975i	−0.668821	−	0.743423i	$-0.733201\pi$
$313$	43.9578	−	48.8201i	0.140440	−	0.155975i	0.809262	+	0.587448i	$0.199868\pi$
$314$	386.773			1.23176
$315$	−51.6112	−	0.0263322i	−0.163845	−	8.35942e-5i
$316$	−137.884	+	44.8013i	−0.436343	+	0.141776i
$317$	−92.8146	−	436.659i	−0.292791	−	1.37747i	−0.840957	−	0.541102i	$-0.818007\pi$
$317$	−92.8146	−	436.659i	−0.292791	−	1.37747i	0.548166	−	0.836370i	$-0.315326\pi$
$318$	−263.405	+	237.171i	−0.828318	+	0.745821i
$319$	−181.123	+	313.714i	−0.567782	+	0.983428i
$320$	38.0509	+	179.015i	0.118909	+	0.559423i
$321$	−294.969	+	214.307i	−0.918906	+	0.667624i
$322$	−0.202245	+	396.401i	−0.000628090	+	1.23106i
$323$	186.865	+	575.112i	0.578530	+	1.78053i
$324$	−525.490	+	583.616i	−1.62188	+	1.80128i
$325$	76.3338	−	132.214i	0.234873	−	0.406813i
$326$	533.592	−	237.570i	1.63678	−	0.728744i
$327$	5.40907	−	3.12293i	0.0165415	−	0.00955023i
$328$	−349.020	−	522.992i	−1.06408	−	1.59449i
$329$	−492.227	+	51.4812i	−1.49613	+	0.156478i
$330$	−451.446	−	327.994i	−1.36802	−	0.993922i
$331$	516.046	−	297.939i	1.55905	−	0.900118i	0.561702	−	0.827340i	$-0.310147\pi$
$331$	516.046	−	297.939i	1.55905	−	0.900118i	0.997348	−	0.0727782i	$-0.0231865\pi$
$332$	262.799	−	1236.37i	0.791562	−	3.72401i
$333$	80.1380	+	17.0338i	0.240655	+	0.0511527i
$334$	30.5805	−	290.954i	0.0915583	−	0.871119i
$335$	16.9838	−	12.3394i	0.0506978	−	0.0368341i
$336$	−349.694	−	315.189i	−1.04076	−	0.938063i
$337$	95.6471			0.283819			0.141910	−	0.989880i	$-0.454676\pi$
$337$	95.6471			0.283819			0.141910	+	0.989880i	$0.454676\pi$
$338$	−645.799	+	137.269i	−1.91065	+	0.406121i
$339$	255.127	+	283.348i	0.752588	+	0.835834i
$340$	225.284	−	1059.88i	0.662599	−	3.11728i
$341$	34.8772	−	331.835i	0.102279	−	0.973122i
$342$	120.970			0.353713
$343$	201.185	+	277.801i	0.586546	+	0.809916i
$344$	−873.758	+	634.823i	−2.53999	+	1.84541i
$345$	45.2488	+	212.879i	0.131156	+	0.617040i
$346$	371.145	+	833.605i	1.07267	+	2.40926i
$347$	289.057	−	30.3811i	0.833016	−	0.0875535i	0.321588	−	0.946880i	$-0.395783\pi$
$347$	289.057	−	30.3811i	0.833016	−	0.0875535i	0.511428	+	0.859326i	$0.329117\pi$
$348$	−344.586	+	773.953i	−0.990190	+	2.22400i
$349$	−224.527	−	309.035i	−0.643343	−	0.885486i	0.355445	−	0.934697i	$-0.384329\pi$
$349$	−224.527	−	309.035i	−0.643343	−	0.885486i	−0.998788	+	0.0492112i	$0.984329\pi$
$350$	−41.2590	−	194.597i	−0.117883	−	0.555990i
$351$	361.827	+	262.883i	1.03085	+	0.748954i
$352$	−25.9708	−	122.183i	−0.0737807	−	0.347111i
$353$	244.037	−	25.6493i	0.691322	−	0.0726609i	0.247649	−	0.968850i	$-0.420342\pi$
$353$	244.037	−	25.6493i	0.691322	−	0.0726609i	0.443673	+	0.896189i	$0.353675\pi$
$354$	157.319	−	740.128i	0.444404	−	2.09076i
$355$	−29.7095	−	51.4583i	−0.0836887	−	0.144953i
$356$	−152.578	−	110.854i	−0.428589	−	0.311388i
$357$	−294.349	−	662.027i	−0.824506	−	1.85442i
$358$	1013.76	+	329.390i	2.83172	+	0.920083i
$359$	228.853	−	48.6441i	0.637473	−	0.135499i	0.122173	−	0.992509i	$-0.461014\pi$
$359$	228.853	−	48.6441i	0.637473	−	0.135499i	0.515300	+	0.857010i	$0.327681\pi$
$360$	−97.9210	−	56.5347i	−0.272003	−	0.157041i
$361$	4.95134	+	5.49902i	0.0137156	+	0.0152328i
$362$	−568.159	−	252.961i	−1.56950	−	0.698787i
$363$	−45.0774	−	32.7507i	−0.124180	−	0.0902222i
$364$	−650.308	+	894.113i	−1.78656	+	2.45635i
$365$	27.7362	+	85.3633i	0.0759896	+	0.233872i
$366$	393.408	−	227.134i	1.07489	−	0.620585i
$367$	115.322	+	259.016i	0.314228	+	0.705767i	0.999752	−	0.0222833i	$-0.00709358\pi$
$367$	115.322	+	259.016i	0.314228	+	0.705767i	−0.685524	+	0.728050i	$0.740427\pi$
$368$	−164.862	+	285.550i	−0.447995	+	0.775951i
$369$	−72.7290	−	10.5877i	−0.197098	−	0.0286929i
$370$		−	660.943i		−	1.78633i
$371$	214.806	+	0.109595i	0.578992	+	0.000295403i
$372$		−	780.349i		−	2.09771i
$373$	−314.345	+	349.115i	−0.842748	+	0.935966i	−0.998657	−	0.0518049i	$-0.983503\pi$
$373$	−314.345	+	349.115i	−0.842748	+	0.935966i	0.155909	+	0.987771i	$0.450169\pi$
$374$	270.509	−	1272.65i	0.723287	−	3.40280i
$375$	−181.820	−	408.375i	−0.484854	−	1.08900i
$376$	−990.511	−	441.004i	−2.63434	−	1.17288i
$377$	554.029	+	180.015i	1.46957	+	0.477494i
$378$	579.586	−	60.6180i	1.53330	−	0.160365i
$379$	−158.164	+	486.777i	−0.417318	+	1.28437i	0.492843	+	0.870118i	$0.335958\pi$
$379$	−158.164	+	486.777i	−0.417318	+	1.28437i	−0.910161	+	0.414255i	$0.864042\pi$
$380$	−137.247	−	645.697i	−0.361177	−	1.69920i
$381$	−135.604	−	28.8234i	−0.355915	−	0.0756521i
$382$	−464.603	−	1043.52i	−1.21624	−	2.73172i
$383$	−276.243	−	478.468i	−0.721262	−	1.24926i	−0.960494	−	0.278300i	$-0.910229\pi$
$383$	−276.243	−	478.468i	−0.721262	−	1.24926i	0.239232	−	0.970962i	$-0.423104\pi$
$384$	202.004	+	621.704i	0.526052	+	1.61902i
$385$	70.1421	+	330.822i	0.182187	+	0.859279i
$386$	315.125	+	102.390i	0.816387	+	0.265260i
$387$	−13.1961	+	125.553i	−0.0340985	+	0.324426i
$388$	51.1308	+	486.477i	0.131780	+	1.25381i
$389$	29.2599	+	278.390i	0.0752183	+	0.715655i	0.965528	+	0.260299i	$0.0838212\pi$
$389$	29.2599	+	278.390i	0.0752183	+	0.715655i	−0.890310	+	0.455355i	$0.849512\pi$
$390$	−364.993	+	819.788i	−0.935880	+	2.10202i
$391$	−410.527	+	298.265i	−1.04994	+	0.762826i
$392$	77.7844	+	747.405i	0.198430	+	1.90665i
$393$	−211.788	−	68.8141i	−0.538901	−	0.175100i
$394$	752.942	+	335.231i	1.91102	+	0.850841i
$395$	69.7565	+	14.8272i	0.176599	+	0.0375372i
$396$	−152.469	−	88.0282i	−0.385023	−	0.222293i
$397$	18.0573	−	171.803i	0.0454843	−	0.432754i	−0.947956	−	0.318402i	$-0.896854\pi$
$397$	18.0573	−	171.803i	0.0454843	−	0.432754i	0.993440	−	0.114353i	$-0.0364794\pi$
$398$	90.1545	+	277.467i	0.226519	+	0.697154i
$399$	−327.864	−	295.513i	−0.821715	−	0.740635i
$400$	51.1307	−	157.364i	0.127827	−	0.393411i
$401$	−115.377	−	199.840i	−0.287724	−	0.498353i	0.685542	−	0.728033i	$-0.259565\pi$
$401$	−115.377	−	199.840i	−0.287724	−	0.498353i	−0.973266	+	0.229680i	$0.926232\pi$
$402$	43.8111	−	39.4477i	0.108983	−	0.0981285i
$403$	−533.637	+	56.0875i	−1.32416	+	0.139175i
$404$	−36.0381	+	342.879i	−0.0892032	+	0.848712i
$405$	367.394	−	119.373i	0.907145	−	0.294749i
$406$	693.572	−	308.374i	1.70831	−	0.759543i
$407$		−	536.826i		−	1.31898i
$408$	165.914	−	1578.56i	0.406652	−	3.86903i
$409$	55.7436	+	32.1836i	0.136292	+	0.0786884i	0.566596	−	0.823996i	$-0.308260\pi$
$409$	55.7436	+	32.1836i	0.136292	+	0.0786884i	−0.430303	+	0.902684i	$0.641593\pi$
$410$	38.4400	+	591.667i	0.0937561	+	1.44309i
$411$	458.394	−	264.654i	1.11531	−	0.643926i
$412$	199.905	−	275.145i	0.485206	−	0.667828i
$413$	−371.122	+	269.347i	−0.898601	+	0.652171i
$414$	31.3688	+	96.5431i	0.0757700	+	0.233196i
$415$	−416.032	+	462.050i	−1.00249	+	1.11337i
$416$	−183.510	+	81.7040i	−0.441130	+	0.196404i
$417$	73.8463	−	7.76156i	0.177089	−	0.0186129i
$418$	−164.799	−	775.320i	−0.394257	−	1.85483i
$419$		−	389.942i		−	0.930650i	−0.885140	−	0.465325i	$-0.845938\pi$
$419$		−	389.942i		−	0.930650i	0.885140	−	0.465325i	$-0.154062\pi$
$420$	244.020	+	752.321i	0.580999	+	1.79124i
$421$	−410.926	−	133.518i	−0.976072	−	0.317145i	−0.222807	−	0.974863i	$-0.571522\pi$
$421$	−410.926	−	133.518i	−0.976072	−	0.317145i	−0.753265	+	0.657718i	$0.771522\pi$
$422$	110.666	+	99.6442i	0.262242	+	0.236124i
$423$	−115.781	+	51.5491i	−0.273714	+	0.121865i
$424$	407.547	+	235.298i	0.961197	+	0.554947i
$425$	170.390	−	189.237i	0.400917	−	0.445263i
$426$	−98.0795	−	134.995i	−0.230234	−	0.316889i
$427$	−269.256	−	57.3758i	−0.630576	−	0.134369i
$428$	750.775	+	545.470i	1.75415	+	1.27446i
$429$	−296.452	+	665.842i	−0.691030	+	1.55208i
$430$	1012.88	−	106.458i	2.35553	−	0.247576i
$431$	58.6793	+	558.296i	0.136147	+	1.29535i	0.822786	+	0.568352i	$0.192419\pi$
$431$	58.6793	+	558.296i	0.136147	+	1.29535i	−0.686639	+	0.726999i	$0.740915\pi$
$432$	442.819	+	197.156i	1.02504	+	0.456379i
$433$	491.100	−	675.941i	1.13418	−	1.56107i	0.354307	−	0.935129i	$-0.384717\pi$
$433$	491.100	−	675.941i	1.13418	−	1.56107i	0.779874	−	0.625936i	$-0.215283\pi$
$434$	−468.085	+	519.328i	−1.07854	+	1.19661i
$435$	337.143	−	244.948i	0.775040	−	0.563100i
$436$	−11.8141	−	10.6374i	−0.0270965	−	0.0243978i
$437$	−154.571	+	267.724i	−0.353709	+	0.612641i
$438$	102.521	+	230.266i	0.234066	+	0.525721i
$439$	311.831	−	346.324i	0.710322	−	0.788893i	−0.274661	−	0.961541i	$-0.588566\pi$
$439$	311.831	−	346.324i	0.710322	−	0.788893i	0.984984	+	0.172648i	$0.0552324\pi$
$440$	−228.943	+	704.614i	−0.520325	+	1.60139i
$441$	71.0083	+	51.7014i	0.161017	+	0.117237i
$442$	−2092.32			−4.73375
$443$	471.078	−	100.131i	1.06338	−	0.226029i	0.357177	−	0.934037i	$-0.383739\pi$
$443$	471.078	−	100.131i	1.06338	−	0.226029i	0.706204	+	0.708008i	$0.250406\pi$
$444$	−131.235	−	1248.62i	−0.295574	−	2.81220i
$445$	37.7327	+	84.7491i	0.0847926	+	0.190447i
$446$	710.077	+	639.356i	1.59210	+	1.43353i
$447$	−351.931	+	114.349i	−0.787318	+	0.255815i
$448$	126.831	−	284.477i	0.283105	−	0.634993i
$449$	166.007	+	120.611i	0.369726	+	0.268622i	0.757097	−	0.653302i	$-0.226617\pi$
$449$	166.007	+	120.611i	0.369726	+	0.268622i	−0.387371	+	0.921924i	$0.626617\pi$
$450$	−25.4703	−	44.1158i	−0.0566006	−	0.0980351i
$451$	31.2215	+	480.559i	0.0692272	+	1.06554i
$452$	485.233	−	840.448i	1.07352	−	1.85940i
$453$	151.835	+	15.9585i	0.335177	+	0.0352285i
$454$	−123.960			−0.273040
$455$	496.931	−	220.944i	1.09216	−	0.485592i
$456$	−298.816	−	919.661i	−0.655298	−	2.01680i
$457$	−538.375	−	56.5855i	−1.17806	−	0.123819i	−0.504810	−	0.863231i	$-0.668437\pi$
$457$	−538.375	−	56.5855i	−1.17806	−	0.123819i	−0.673254	+	0.739411i	$0.735104\pi$
$458$	−51.0989	−	486.174i	−0.111570	−	1.06152i
$459$	499.160	+	554.373i	1.08749	+	1.20778i
$460$	479.725	−	276.970i	1.04288	−	0.602108i
$461$	204.611	+	66.4821i	0.443841	+	0.144213i	0.522407	−	0.852696i	$-0.325034\pi$
$461$	204.611	+	66.4821i	0.443841	+	0.144213i	−0.0785659	+	0.996909i	$0.525034\pi$
$462$	293.007	+	903.350i	0.634214	+	1.95530i
$463$	290.584	−	94.4166i	0.627612	−	0.203924i	0.0220951	−	0.999756i	$-0.492966\pi$
$463$	290.584	−	94.4166i	0.627612	−	0.203924i	0.605517	+	0.795832i	$0.292966\pi$
$464$	627.904	+	65.9954i	1.35324	+	0.142231i
$465$	−191.925	+	332.423i	−0.412741	+	0.714889i
$466$	−45.7839	+	215.396i	−0.0982487	+	0.462224i
$467$	157.581	−	353.934i	0.337434	−	0.757888i	−0.662527	−	0.749038i	$-0.730516\pi$
$467$	157.581	−	353.934i	0.337434	−	0.757888i	0.999961	−	0.00885033i	$-0.00281718\pi$
$468$	−87.4899	+	269.266i	−0.186944	+	0.575355i
$469$	−35.7278	−	0.0182284i	−0.0761786	−	3.88666e-5i
$470$	600.975	+	827.171i	1.27867	+	1.75994i
$471$	−330.149	−	146.992i	−0.700952	−	0.312084i
$472$	−999.111	+	105.011i	−2.11676	+	0.222480i
$473$	822.671	−	86.4662i	1.73926	−	0.182804i
$474$	199.172	+	20.9338i	0.420195	+	0.0441642i
$475$	47.9389	−	147.541i	0.100924	−	0.310612i
$476$	−1371.05	+	1233.23i	−2.88036	+	2.59083i
$477$	52.3158	−	16.9984i	0.109677	−	0.0356361i
$478$	263.722	−	152.260i	0.551719	−	0.318535i
$479$	−441.607	+	196.616i	−0.921935	+	0.410472i	−0.812127	−	0.583481i	$-0.801690\pi$
$479$	−441.607	+	196.616i	−0.921935	+	0.410472i	−0.109808	+	0.993953i	$0.535024\pi$
$480$	−29.8771	+	140.561i	−0.0622440	+	0.292835i
$481$	−844.426	+	179.488i	−1.75556	+	0.373157i
$482$	1285.50	+	417.683i	2.66700	+	0.866562i
$483$	150.823	−	338.290i	0.312264	−	0.700394i
$484$	−43.8246	+	134.878i	−0.0905466	+	0.278674i
$485$	97.8663	−	219.811i	0.201786	−	0.453219i
$486$	306.566	−	136.492i	0.630795	−	0.280848i
$487$	−768.532	−	163.356i	−1.57809	−	0.335434i	−0.666172	−	0.745798i	$-0.732068\pi$
$487$	−768.532	−	163.356i	−1.57809	−	0.335434i	−0.911922	+	0.410364i	$0.865402\pi$
$488$	−448.211	−	403.571i	−0.918466	−	0.826991i
$489$	−545.760			−1.11607
$490$	288.876	−	647.048i	0.589542	−	1.32051i
$491$	223.268			0.454720			0.227360	−	0.973811i	$-0.426991\pi$
$491$	223.268			0.454720			0.227360	+	0.973811i	$0.426991\pi$
$492$	190.099	+	1110.11i	0.386379	+	2.25633i
$493$	841.477	+	485.827i	1.70685	+	0.985450i
$494$	−1164.48	+	518.458i	−2.35724	+	1.04951i
$495$	43.3005	+	74.9987i	0.0874758	+	0.151513i
$496$	−553.083	+	179.708i	−1.11509	+	0.362314i
$497$	−10.6217	+	100.565i	−0.0213716	+	0.202344i
$498$	−1026.29	+	1412.56i	−2.06082	+	2.83647i
$499$	85.1803	−	191.318i	0.170702	−	0.383403i	−0.807854	−	0.589382i	$-0.799371\pi$
$499$	85.1803	−	191.318i	0.170702	−	0.383403i	0.978556	+	0.205979i	$0.0660379\pi$
$500$	−845.544	+	761.332i	−1.69109	+	1.52266i
$501$	−136.679	+	236.735i	−0.272813	+	0.472526i
$502$	−25.5987	−	120.433i	−0.0509935	−	0.239906i
$503$	−66.7387	+	205.401i	−0.132681	+	0.408351i	−0.995222	−	0.0976364i	$-0.968872\pi$
$503$	−66.7387	+	205.401i	−0.132681	+	0.408351i	0.862541	+	0.505987i	$0.168872\pi$
$504$	78.1790	+	175.834i	0.155117	+	0.348878i
$505$	99.6822	−	137.201i	0.197390	−	0.271685i
$506$	576.030	−	332.571i	1.13840	−	0.657255i
$507$	603.421	+	128.261i	1.19018	+	0.252980i
$508$	36.8838	+	350.926i	0.0726058	+	0.690799i
$509$	−688.109	+	146.262i	−1.35189	+	0.287352i	−0.826224	−	0.563342i	$-0.809515\pi$
$509$	−688.109	+	146.262i	−1.35189	+	0.287352i	−0.525661	+	0.850694i	$0.676182\pi$
$510$	−879.782	+	1210.92i	−1.72506	+	2.37435i
$511$	47.2779	−	145.254i	0.0925204	−	0.284255i
$512$	839.813	−	610.160i	1.64026	−	1.19172i
$513$	415.176	+	184.848i	0.809310	+	0.360328i
$514$	−97.7366	−	929.902i	−0.190149	−	1.80915i
$515$	−152.829	+	68.0439i	−0.296756	+	0.132124i
$516$	1892.33	−	402.228i	3.66731	−	0.779512i
$517$	488.119	+	671.838i	0.944138	+	1.29949i
$518$	−661.633	+	909.684i	−1.27728	+	1.75615i
$519$		−	852.615i		−	1.64280i
$520$	1184.90	+	124.538i	2.27866	+	0.239497i
$521$	−737.745	−	156.813i	−1.41602	−	0.300984i	−0.564554	−	0.825396i	$-0.690952\pi$
$521$	−737.745	−	156.813i	−1.41602	−	0.300984i	−0.851464	+	0.524413i	$0.824285\pi$
$522$	144.450	−	130.063i	0.276723	−	0.249163i
$523$	−26.4803	−	124.580i	−0.0506316	−	0.238203i	0.945554	−	0.325466i	$-0.105521\pi$
$523$	−26.4803	−	124.580i	−0.0506316	−	0.238203i	−0.996185	+	0.0872633i	$0.972188\pi$
$524$			566.799i			1.08168i
$525$	−38.7370	+	181.787i	−0.0737848	+	0.346262i
$526$	834.740	+	1148.92i	1.58696	+	2.18426i
$527$	−890.083	−	93.5515i	−1.68896	−	0.177517i
$528$	−164.238	+	772.677i	−0.311056	+	1.46340i
$529$	263.694	+	56.0499i	0.498476	+	0.105954i
$530$	−221.884	−	384.315i	−0.418649	−	0.725122i
$531$	−69.0235	+	95.0026i	−0.129988	+	0.178913i
$532$	−457.472	+	1026.09i	−0.859910	+	1.92874i
$533$	745.479	−	209.787i	1.39865	−	0.393596i
$534$	130.259	+	225.616i	0.243931	+	0.422502i
$535$	−185.668	−	417.017i	−0.347043	−	0.779472i
$536$	−67.7857	−	39.1361i	−0.126466	−	0.0730151i
$537$	−740.157	−	666.440i	−1.37832	−	1.24104i
$538$	−589.691	+	191.602i	−1.09608	+	0.356138i
$539$	234.628	−	525.540i	0.435303	−	0.975028i
$540$	−478.659	−	658.817i	−0.886405	−	1.22003i
$541$	−909.132	+	193.242i	−1.68047	+	0.357194i	−0.946677	−	0.322184i	$-0.895583\pi$
$541$	−909.132	+	193.242i	−1.68047	+	0.357194i	−0.733788	+	0.679378i	$0.762250\pi$
$542$	−1047.62	−	604.841i	−1.93287	−	1.11594i
$543$	388.843	+	431.853i	0.716100	+	0.795310i
$544$	−327.733	+	69.6617i	−0.602450	+	0.128055i
$545$	2.41646	+	7.43710i	0.00443387	+	0.0136461i
$546$	1323.00	−	762.935i	2.42308	−	1.39732i
$547$		−	837.130i		−	1.53040i	−0.643791	−	0.765201i	$-0.722639\pi$
$547$		−	837.130i		−	1.53040i	0.643791	−	0.765201i	$-0.277361\pi$
$548$	−1001.19	−	901.473i	−1.82698	−	1.64502i
$549$	−70.1136	+	7.36924i	−0.127712	+	0.0134230i
$550$	−248.048	+	223.344i	−0.450997	+	0.406080i
$551$	588.707	+	61.8756i	1.06843	+	0.112297i
$552$	656.473	−	476.956i	1.18926	−	0.864050i
$553$	−81.1661	−	90.2367i	−0.146774	−	0.163177i
$554$	599.095	−	435.268i	1.08140	−	0.785683i
$555$	−251.189	+	564.179i	−0.452592	+	1.01654i
$556$	−76.8709	−	172.655i	−0.138257	−	0.310530i
$557$	−63.4674	+	57.1463i	−0.113945	+	0.102597i	−0.724134	−	0.689659i	$-0.757760\pi$
$557$	−63.4674	+	57.1463i	−0.113945	+	0.102597i	0.610189	+	0.792256i	$0.291094\pi$
$558$	−72.8217	+	163.560i	−0.130505	+	0.293119i
$559$	−411.072	−	1265.15i	−0.735371	−	2.26324i
$560$	477.022	−	346.205i	0.851825	−	0.618223i
$561$	−714.570	+	983.521i	−1.27374	+	1.75316i
$562$	−749.457	−	674.814i	−1.33355	−	1.20074i
$563$	504.067	+	559.823i	0.895323	+	0.994357i	1.00000		0.000149505i	$-4.75888e-5\pi$
$563$	504.067	+	559.823i	0.895323	+	0.994357i	−0.104677	+	0.994506i	$0.533381\pi$
$564$	1299.57	+	1443.32i	2.30420	+	2.55908i
$565$	−413.411	+	238.683i	−0.731701	+	0.422448i
$566$	−996.388	−	323.746i	−1.76040	−	0.571989i
$567$	−625.158	−	203.479i	−1.10257	−	0.358869i
$568$	−130.219	+	179.231i	−0.229259	+	0.315548i
$569$	471.360	−	523.499i	0.828401	−	0.920033i	−0.169451	−	0.985539i	$-0.554200\pi$
$569$	471.360	−	523.499i	0.828401	−	0.920033i	0.997852	+	0.0655061i	$0.0208662\pi$
$570$	−189.587	+	891.937i	−0.332609	+	1.56480i
$571$	765.930	+	442.210i	1.34138	+	0.774449i	0.987011	−	0.160655i	$-0.0513608\pi$
$571$	765.930	+	442.210i	1.34138	+	0.774449i	0.354374	+	0.935104i	$0.384694\pi$
$572$	1844.97	+	193.914i	3.22547	+	0.339011i
$573$			1067.31i			1.86268i
$574$	539.378	−	852.816i	0.939683	−	1.48574i
$575$	130.180			0.226399
$576$	8.33739	−	79.3249i	0.0144746	−	0.137717i
$577$	129.379	−	224.090i	0.224226	−	0.388371i	−0.731861	−	0.681454i	$-0.761348\pi$
$577$	129.379	−	224.090i	0.224226	−	0.388371i	0.956087	+	0.293083i	$0.0946812\pi$
$578$	−2419.73	−	514.330i	−4.18639	−	0.889844i
$579$	−230.077	−	207.162i	−0.397370	−	0.357793i
$580$	−858.119	−	623.460i	−1.47952	−	1.07493i
$581$	1035.14	−	219.473i	1.78165	−	0.377750i
$582$	208.803	−	642.629i	0.358768	−	1.10417i
$583$	−180.217	−	312.145i	−0.309120	−	0.535412i
$584$	248.696	−	223.927i	0.425850	−	0.383437i
$585$	103.495	−	93.1876i	0.176915	−	0.159295i
$586$	301.364	−	334.699i	0.514273	−	0.571158i
$587$	726.386	+	527.750i	1.23746	+	0.899064i	0.997426	−	0.0717020i	$-0.0228431\pi$
$587$	726.386	+	527.750i	1.23746	+	0.899064i	0.240029	+	0.970766i	$0.422843\pi$
$588$	417.253	−	1279.73i	0.709613	−	2.17641i
$589$	−518.556	+	168.489i	−0.880401	+	0.286060i
$590$	865.442	+	385.320i	1.46685	+	0.653084i
$591$	−515.306	−	572.305i	−0.871922	−	0.968367i
$592$	−854.752	+	380.560i	−1.44384	+	0.642838i
$593$	−224.177	−	99.8098i	−0.378038	−	0.168313i	0.208916	−	0.977934i	$-0.433006\pi$
$593$	−224.177	−	99.8098i	−0.378038	−	0.168313i	−0.586954	+	0.809620i	$0.699673\pi$
$594$	−574.749	−	791.074i	−0.967591	−	1.33178i
$595$	887.368	−	188.143i	1.49137	−	0.316206i
$596$	553.610	+	761.979i	0.928876	+	1.27849i
$597$	28.4946	−	271.108i	0.0477296	−	0.454117i
$598$	−715.730	−	794.899i	−1.19687	−	1.32926i
$599$	74.4032	+	707.899i	0.124212	+	1.18180i	0.862050	+	0.506823i	$0.169180\pi$
$599$	74.4032	+	707.899i	0.124212	+	1.18180i	−0.737838	+	0.674978i	$0.764153\pi$
$600$	−272.470	+	302.608i	−0.454116	+	0.504347i
$601$	489.523			0.814515			0.407257	−	0.913313i	$-0.366485\pi$
$601$	489.523			0.814515			0.407257	+	0.913313i	$0.366485\pi$
$602$	−1500.63	−	867.413i	−2.49275	−	1.44088i
$603$	−8.70146	+	2.82728i	−0.0144303	+	0.00468868i
$604$	−80.7924	−	380.098i	−0.133762	−	0.629302i
$605$	51.8418	−	46.6786i	0.0856890	−	0.0771547i
$606$	238.124	−	412.443i	0.392944	−	0.680599i
$607$	−50.7476	−	238.749i	−0.0836040	−	0.393326i	0.916372	−	0.400329i	$-0.131104\pi$
$607$	−50.7476	−	238.749i	−0.0836040	−	0.393326i	−0.999975	+	0.00700318i	$0.997771\pi$
$608$	−165.138	+	119.980i	−0.271608	+	0.197335i
$609$	−709.228	−	0.361850i	−1.16458	−	0.000594171i
$610$	175.752	+	540.909i	0.288118	+	0.886737i
$611$	893.597	−	992.441i	1.46252	−	1.62429i
$612$	−236.119	+	408.970i	−0.385815	+	0.668251i
$613$	−893.203	+	397.679i	−1.45710	+	0.648743i	−0.973943	−	0.226791i	$-0.927177\pi$
$613$	−893.203	+	397.679i	−1.45710	+	0.648743i	−0.483157	+	0.875534i	$0.660510\pi$
$614$	−415.681	+	239.994i	−0.677005	+	0.390869i
$615$	192.048	−	519.654i	0.312273	−	0.844966i
$616$	1020.45	−	740.608i	1.65658	−	1.20229i
$617$	623.887	+	453.280i	1.01116	+	0.734652i	0.964452	−	0.264257i	$-0.0851266\pi$
$617$	623.887	+	453.280i	1.01116	+	0.734652i	0.0467093	+	0.998909i	$0.485127\pi$
$618$	−406.856	+	234.899i	−0.658343	+	0.380095i
$619$	−175.923	+	827.655i	−0.284206	+	1.33708i	0.571917	+	0.820311i	$0.306200\pi$
$619$	−175.923	+	827.655i	−0.284206	+	1.33708i	−0.856123	+	0.516772i	$0.827133\pi$
$620$	955.650	+	203.130i	1.54137	+	0.327629i
$621$	−39.8634	+	379.275i	−0.0641923	+	0.610749i
$622$	−550.718	+	400.120i	−0.885398	+	0.643279i
$623$	32.9045	−	154.416i	0.0528162	−	0.247859i
$624$	1270.33			2.03579
$625$	349.796	−	74.3514i	0.559674	−	0.118962i
$626$	154.552	+	171.648i	0.246889	+	0.274198i
$627$	−153.985	+	724.443i	−0.245590	+	1.15541i
$628$	−96.1496	+	914.803i	−0.153105	+	1.45669i
$629$	−1439.93			−2.28924
$630$	19.0599	−	180.457i	0.0302539	−	0.286440i
$631$	−314.178	+	228.264i	−0.497906	+	0.361750i	−0.808216	−	0.588886i	$-0.799567\pi$
$631$	−314.178	+	228.264i	−0.497906	+	0.361750i	0.310311	+	0.950635i	$0.399567\pi$
$632$	−55.2828	−	260.085i	−0.0874728	−	0.411527i
$633$	−56.5949	−	127.114i	−0.0894074	−	0.200812i
$634$	1560.96	−	164.063i	2.46208	−	0.258775i
$635$	70.5969	−	158.563i	0.111176	−	0.249706i
$636$	−495.480	−	681.970i	−0.779057	−	1.07228i
$637$	−905.122	−	193.355i	−1.42091	−	0.303540i
$638$	−1030.39	−	748.619i	−1.61503	−	1.17338i
$639$	5.38411	+	25.3302i	0.00842584	+	0.0396404i
$640$	−813.949	+	85.5495i	−1.27180	+	0.133671i
$641$	94.2449	−	443.387i	0.147028	−	0.691712i	−0.841449	−	0.540337i	$-0.818297\pi$
$641$	94.2449	−	443.387i	0.147028	−	0.691712i	0.988476	−	0.151375i	$-0.0483700\pi$
$642$	−640.956	−	1110.17i	−0.998374	−	1.72923i
$643$	−394.450	−	286.584i	−0.613452	−	0.445699i	0.237176	−	0.971467i	$-0.423778\pi$
$643$	−394.450	−	286.584i	−0.613452	−	0.445699i	−0.850628	+	0.525768i	$0.823778\pi$
$644$	−937.525	−	99.0215i	−1.45578	−	0.153760i
$645$	−905.048	−	294.068i	−1.40317	−	0.455919i
$646$	−2079.65	+	442.043i	−3.21927	+	0.684277i
$647$	−197.084	−	113.786i	−0.304612	−	0.175868i	0.339901	−	0.940461i	$-0.389606\pi$
$647$	−197.084	−	113.786i	−0.304612	−	0.175868i	−0.644513	+	0.764594i	$0.722940\pi$
$648$	−963.757	−	1070.36i	−1.48728	−	1.65179i
$649$	702.923	+	312.961i	1.08309	+	0.482221i
$650$	434.255	+	315.504i	0.668084	+	0.485391i
$651$	596.925	−	265.403i	0.916935	−	0.407685i
$652$	429.258	+	1321.12i	0.658371	+	2.02626i
$653$	49.3746	−	28.5064i	0.0756119	−	0.0436546i	−0.461717	−	0.887027i	$-0.652767\pi$
$653$	49.3746	−	28.5064i	0.0756119	−	0.0436546i	0.537329	+	0.843373i	$0.319433\pi$
$654$	8.93192	+	20.0614i	0.0136574	+	0.0306750i
$655$	139.403	−	241.452i	0.212828	−	0.368629i
$656$	743.029	−	390.384i	1.13267	−	0.595097i
$657$		−	39.1178i		−	0.0595400i
$658$	0.887790	−	1740.07i	0.00134923	−	2.64449i
$659$		−	43.0846i		−	0.0653788i	−0.999466	−	0.0326894i	$-0.989593\pi$
$659$		−	43.0846i		−	0.0653788i	0.999466	−	0.0326894i	$-0.0104072\pi$
$660$	888.005	−	986.229i	1.34546	−	1.49429i
$661$	168.538	−	792.909i	0.254974	−	1.19956i	−0.645194	−	0.764019i	$-0.723224\pi$
$661$	168.538	−	792.909i	0.254974	−	1.19956i	0.900169	−	0.435542i	$-0.143443\pi$
$662$	852.139	+	1913.94i	1.28722	+	2.89114i
$663$	1785.99	+	795.176i	2.69381	+	1.19936i
$664$	2204.72	+	716.357i	3.32036	+	1.07885i
$665$	447.244	−	324.593i	0.672547	−	0.488110i
$666$	−89.0135	+	273.955i	−0.133654	+	0.411345i
$667$	103.277	+	485.878i	0.154837	+	0.728453i
$668$	680.567	+	144.659i	1.01881	+	0.216555i
$669$	−363.135	−	815.614i	−0.542802	−	1.21915i
$670$	36.9051	+	63.9214i	0.0550822	+	0.0954051i
$671$	142.748	+	439.333i	0.212739	+	0.654744i
$672$	181.829	−	163.551i	0.270578	−	0.243380i
$673$	−56.5371	−	18.3700i	−0.0840076	−	0.0272957i	0.266712	−	0.963776i	$-0.414063\pi$
$673$	−56.5371	−	18.3700i	−0.0840076	−	0.0272957i	−0.350719	+	0.936481i	$0.614063\pi$
$674$	−35.1517	+	334.446i	−0.0521538	+	0.496210i
$675$	−20.0043	−	190.328i	−0.0296360	−	0.281967i
$676$	−164.129	−	1561.58i	−0.242794	−	2.31003i
$677$	−365.126	+	820.087i	−0.539330	+	1.21135i	0.414236	+	0.910170i	$0.364049\pi$
$677$	−365.126	+	820.087i	−0.539330	+	1.21135i	−0.953566	+	0.301185i	$0.902618\pi$
$678$	−1084.54	+	787.961i	−1.59961	+	1.16218i
$679$	−354.738	+	204.567i	−0.522443	+	0.301277i
$680$	1889.99	+	614.095i	2.77940	+	0.903081i
$681$	105.812	+	47.1106i	0.155377	+	0.0691785i
$682$	1147.50	+	243.908i	1.68255	+	0.357636i
$683$	509.693	+	294.272i	0.746257	+	0.430852i	0.824340	−	0.566095i	$-0.191547\pi$
$683$	509.693	+	294.272i	0.746257	+	0.430852i	−0.0780829	+	0.996947i	$0.524880\pi$
$684$	−30.0724	+	286.120i	−0.0439655	+	0.418304i
$685$	204.784	+	630.260i	0.298955	+	0.920088i
$686$	−1045.32	+	601.382i	−1.52378	+	0.876650i
$687$	−141.151	+	434.417i	−0.205459	+	0.632339i
$688$	−720.872	−	1248.59i	−1.04778	−	1.81481i
$689$	−430.748	+	387.847i	−0.625178	+	0.562913i
$690$	−760.996	+	79.9839i	−1.10289	+	0.115919i
$691$	−62.9924	+	599.332i	−0.0911612	+	0.867341i	0.849408	+	0.527737i	$0.176959\pi$
$691$	−62.9924	+	599.332i	−0.0911612	+	0.867341i	−0.940569	+	0.339603i	$0.889707\pi$
$692$	−2063.92	+	670.608i	−2.98254	+	0.969087i
$693$	15.4807	−	146.570i	0.0223387	−	0.211500i
$694$			1021.90i			1.47248i
$695$	−9.71750	+	92.4558i	−0.0139820	+	0.133030i
$696$	−1345.61	−	776.886i	−1.93334	−	1.11621i
$697$	1289.01	−	83.7456i	1.84937	−	0.120152i
$698$	1163.11	−	671.520i	1.66634	−	0.962064i
$699$	120.941	−	166.462i	0.173021	−	0.238143i
$700$	470.520	−	49.2109i	0.672171	−	0.0703013i
$701$	−43.5187	−	133.937i	−0.0620809	−	0.191065i	0.915206	−	0.402987i	$-0.132028\pi$
$701$	−43.5187	−	133.937i	−0.0620809	−	0.191065i	−0.977287	+	0.211921i	$0.932028\pi$
$702$	−1052.19	+	1168.58i	−1.49885	+	1.66464i
$703$	−801.393	+	356.803i	−1.13996	+	0.507544i
$704$	−519.768	+	54.6298i	−0.738306	+	0.0775991i
$705$	−198.627	−	934.469i	−0.281741	−	1.32549i
$706$			862.741i			1.22201i
$707$	−274.541	+	89.0489i	−0.388318	+	0.125953i
$708$	1711.46	+	556.086i	2.41731	+	0.785432i
$709$	459.781	+	413.989i	0.648492	+	0.583905i	0.926325	−	0.376724i	$-0.122950\pi$
$709$	459.781	+	413.989i	0.648492	+	0.583905i	−0.277833	+	0.960629i	$0.589616\pi$
$710$	190.851	−	84.9725i	0.268805	−	0.119680i
$711$	−26.9166	−	15.5403i	−0.0378574	−	0.0218570i
$712$	231.444	−	257.045i	0.325062	−	0.361018i
$713$	−268.934	−	370.156i	−0.377187	−	0.519153i
$714$	2423.06	−	785.935i	3.39365	−	1.10075i
$715$	−738.251	−	536.371i	−1.03252	−	0.750169i
$716$	−1031.09	+	2315.87i	−1.44007	+	3.23446i
$717$	−282.978	+	29.7422i	−0.394669	+	0.0414814i
$718$	85.9856	+	818.099i	0.119757	+	1.13941i
$719$	−22.0361	−	9.81111i	−0.0306483	−	0.0136455i	0.391355	−	0.920240i	$-0.372006\pi$
$719$	−22.0361	−	9.81111i	−0.0306483	−	0.0136455i	−0.422004	+	0.906594i	$0.638673\pi$
$720$	88.7194	−	122.112i	0.123221	−	0.169600i
$721$	278.460	+	59.3371i	0.386214	+	0.0822983i
$722$	−21.0479	+	15.2922i	−0.0291523	+	0.0211804i
$723$	−938.557	−	845.081i	−1.29814	−	1.16885i
$724$	739.549	−	1280.94i	1.02148	−	1.76925i
$725$	−101.387	−	227.720i	−0.139845	−	0.314097i
$726$	131.085	−	145.584i	0.180557	−	0.200529i
$727$	−109.674	+	337.542i	−0.150858	+	0.464294i	−0.997718	−	0.0675226i	$-0.978491\pi$
$727$	−109.674	+	337.542i	−0.150858	+	0.464294i	0.846859	+	0.531817i	$0.178491\pi$
$728$	−1506.16	−	1357.55i	−2.06891	−	1.86476i
$729$	531.721			0.729385
$730$	−308.680	+	65.6120i	−0.422850	+	0.0898795i
$731$	−231.929	−	2206.66i	−0.317276	−	3.01868i
$732$	439.423	+	986.960i	0.600304	+	1.34831i
$733$	−645.588	−	581.290i	−0.880748	−	0.793029i	0.0986179	−	0.995125i	$-0.468558\pi$
$733$	−645.588	−	581.290i	−0.880748	−	0.793029i	−0.979366	+	0.202097i	$0.935225\pi$
$734$	−948.076	+	308.048i	−1.29166	+	0.419685i
$735$	−492.492	+	442.532i	−0.670057	+	0.602085i
$736$	−138.575	−	100.680i	−0.188281	−	0.136794i
$737$	29.9747	+	51.9178i	0.0406713	+	0.0704447i
$738$	63.7506	−	250.418i	0.0863829	−	0.339320i
$739$	−350.928	+	607.825i	−0.474869	+	0.822497i	−0.999586	−	0.0287800i	$-0.990838\pi$
$739$	−350.928	+	607.825i	−0.474869	+	0.822497i	0.524717	+	0.851277i	$0.324171\pi$
$740$	1563.27	+	164.307i	2.11253	+	0.222036i
$741$	1191.03			1.60733
$742$	−79.3275	+	751.064i	−0.106910	+	1.01222i
$743$	−314.001	−	966.396i	−0.422612	−	1.30067i	−0.905262	−	0.424854i	$-0.860325\pi$
$743$	−314.001	−	966.396i	−0.422612	−	1.30067i	0.482649	−	0.875814i	$-0.339675\pi$
$744$	1423.33	+	149.598i	1.91308	+	0.201073i
$745$	−48.4274	−	460.756i	−0.0650033	−	0.618465i
$746$	−1105.21	−	1227.46i	−1.48152	−	1.64539i
$747$	234.669	−	135.486i	0.314149	−	0.181374i
$748$	2942.84	+	956.186i	3.93428	+	1.27832i
$749$	−161.910	+	759.821i	−0.216168	+	1.01445i
$750$	1494.77	−	485.681i	1.99303	−	0.647575i
$751$	628.911	+	66.1012i	0.837431	+	0.0880175i	0.513528	−	0.858073i	$-0.328338\pi$
$751$	628.911	+	66.1012i	0.837431	+	0.0880175i	0.323903	+	0.946090i	$0.395005\pi$
$752$	723.692	−	1253.47i	0.962356	−	1.66685i
$753$	−23.9189	+	112.530i	−0.0317648	+	0.149442i
$754$	−833.066	+	1871.10i	−1.10486	+	2.48156i
$755$	−59.0671	+	181.790i	−0.0782346	+	0.240781i
$756$	−0.707098	+	1385.92i	−0.000935315	+	1.83322i
$757$	−111.959	−	154.099i	−0.147898	−	0.203565i	0.728640	−	0.684897i	$-0.240153\pi$
$757$	−111.959	−	154.099i	−0.147898	−	0.203565i	−0.876538	+	0.481333i	$0.840153\pi$
$758$	−1643.97	−	731.943i	−2.16883	−	0.965624i
$759$	−618.090	+	64.9639i	−0.814348	+	0.0855914i
$760$	1204.04	−	126.550i	1.58426	−	0.166513i
$761$	−363.636	−	38.2197i	−0.477840	−	0.0502230i	−0.137452	−	0.990508i	$-0.543891\pi$
$761$	−363.636	−	38.2197i	−0.477840	−	0.0502230i	−0.340387	+	0.940285i	$0.610558\pi$
$762$	150.622	−	463.567i	0.197667	−	0.608356i
$763$	4.11899	−	12.6550i	0.00539842	−	0.0165858i
$764$	2583.64	−	839.476i	3.38173	−	1.09879i
$765$	201.170	−	116.145i	0.262967	−	0.151824i
$766$	1774.56	−	790.087i	2.31666	−	1.03145i
$767$	257.265	−	1210.34i	0.335417	−	1.57801i
$768$	−1676.20	+	356.287i	−2.18255	+	0.463916i
$769$	−617.196	−	200.539i	−0.802596	−	0.260779i	−0.121137	−	0.992636i	$-0.538654\pi$
$769$	−617.196	−	200.539i	−0.802596	−	0.260779i	−0.681459	+	0.731857i	$0.738654\pi$
$770$	−1182.55	+	123.681i	−1.53578	+	0.160625i
$771$	−269.978	+	830.906i	−0.350166	+	1.07770i
$772$	−320.514	+	719.886i	−0.415173	+	0.932495i
$773$	−653.099	+	290.778i	−0.844888	+	0.376168i	−0.783081	−	0.621920i	$-0.786353\pi$
$773$	−653.099	+	290.778i	−0.844888	+	0.376168i	−0.0618072	+	0.998088i	$0.519686\pi$
$774$	−434.167	−	92.2850i	−0.560939	−	0.119231i
$775$	170.628	+	153.634i	0.220165	+	0.198237i
$776$	−897.121			−1.15608
$777$	910.490	−	525.052i	1.17180	−	0.675743i
$778$	−984.189			−1.26502
$779$	696.645	−	366.014i	0.894281	−	0.469851i
$780$	−1848.24	−	1067.08i	−2.36954	−	1.36806i
$781$	155.012	−	69.0157i	0.198479	−	0.0883684i
$782$	−892.059	−	1545.09i	−1.14074	−	1.97582i
$783$	694.503	−	225.658i	0.886977	−	0.288196i
$784$	−1003.11	−	1.02358i	−1.27948	−	0.00130559i
$785$	265.952	−	366.052i	0.338792	−	0.466308i
$786$	318.455	−	715.262i	0.405159	−	0.910002i
$787$	−472.321	+	425.280i	−0.600154	+	0.540381i	−0.912231	−	0.409676i	$-0.865642\pi$
$787$	−472.321	+	425.280i	−0.600154	+	0.540381i	0.312077	+	0.950057i	$0.398975\pi$
$788$	−980.072	+	1697.53i	−1.24375	+	2.15423i
$789$	−275.889	−	1297.96i	−0.349669	−	1.64506i
$790$	−77.4823	+	238.466i	−0.0980788	+	0.301856i
$791$	807.928	+	85.3335i	1.02140	+	0.107880i
$792$	189.790	−	261.223i	0.239634	−	0.329828i
$793$	643.342	−	371.434i	0.811277	−	0.468391i
$794$	594.103	+	126.280i	0.748240	+	0.159043i
$795$	43.3425	+	412.376i	0.0545188	+	0.518712i
$796$	−678.682	+	144.258i	−0.852616	+	0.181229i
$797$	646.329	−	889.596i	0.810952	−	1.11618i	−0.180223	−	0.983626i	$-0.557682\pi$
$797$	646.329	−	889.596i	0.810952	−	1.11618i	0.991176	−	0.132555i	$-0.0423180\pi$
$798$	1153.81	−	1037.83i	1.44587	−	1.30053i
$799$	1802.08	−	1309.29i	2.25542	−	1.63866i
$800$	78.5245	+	34.9613i	0.0981556	+	0.0437017i
$801$	−4.22619	−	40.2095i	−0.00527614	−	0.0501992i
$802$	741.175	−	329.992i	0.924159	−	0.411462i
$803$	−250.714	+	53.2909i	−0.312222	+	0.0663647i
$804$	82.4111	+	113.429i	0.102501	+	0.141081i
$805$	375.025	+	272.764i	0.465869	+	0.338837i
$806$		−	1886.56i		−	2.34065i
$807$	576.177	+	60.5586i	0.713974	+	0.0750416i
$808$	−618.492	−	131.465i	−0.765461	−	0.162704i
$809$	−8.90558	+	8.01862i	−0.0110081	+	0.00991176i	−0.674616	−	0.738169i	$-0.735691\pi$
$809$	−8.90558	+	8.01862i	−0.0110081	+	0.00991176i	0.663608	+	0.748080i	$0.269024\pi$
$810$	282.387	+	1328.52i	0.348625	+	1.64015i
$811$		−	37.4028i		−	0.0461194i	−0.999734	−	0.0230597i	$-0.992659\pi$
$811$		−	37.4028i		−	0.0461194i	0.999734	−	0.0230597i	$-0.00734077\pi$
$812$	556.954	+	1717.11i	0.685904	+	2.11467i
$813$	664.375	+	914.433i	0.817189	+	1.12476i
$814$	1877.10	+	197.291i	2.30602	+	0.242372i
$815$	142.065	−	668.362i	0.174313	−	0.820076i
$816$	2072.56	+	440.536i	2.53990	+	0.539873i
$817$	−675.871	−	1170.64i	−0.827260	−	1.43286i
$818$	−133.022	+	183.089i	−0.162618	+	0.223825i
$819$	−235.730	+	24.6546i	−0.287827	+	0.0301033i
$820$	−1408.98	−	56.1660i	−1.71826	−	0.0684951i
$821$	−363.252	−	629.171i	−0.442451	−	0.766348i	0.555420	−	0.831570i	$-0.312558\pi$
$821$	−363.252	−	629.171i	−0.442451	−	0.766348i	−0.997871	+	0.0652224i	$0.979224\pi$
$822$	756.939	+	1700.11i	0.920851	+	2.06826i
$823$	−239.907	−	138.510i	−0.291503	−	0.168299i	0.347117	−	0.937822i	$-0.387161\pi$
$823$	−239.907	−	138.510i	−0.291503	−	0.168299i	−0.638619	+	0.769523i	$0.720494\pi$
$824$	463.533	+	417.367i	0.562540	+	0.506513i
$825$	296.614	−	96.3758i	0.359533	−	0.116819i
$826$	−805.423	−	1396.68i	−0.975088	−	1.69089i
$827$	−0.218073	−	0.300151i	−0.000263691	−	0.000362940i	0.808885	−	0.587967i	$-0.200071\pi$
$827$	−0.218073	−	0.300151i	−0.000263691	−	0.000362940i	−0.809149	+	0.587604i	$0.800071\pi$
$828$	−236.144	+	50.1939i	−0.285198	+	0.0606206i
$829$	−521.915	−	301.328i	−0.629572	−	0.363483i	0.151014	−	0.988532i	$-0.451746\pi$
$829$	−521.915	−	301.328i	−0.629572	−	0.363483i	−0.780586	+	0.625048i	$0.785079\pi$
$830$	−1462.74	−	1624.54i	−1.76234	−	1.95727i
$831$	−676.808	+	143.860i	−0.814450	+	0.173117i
$832$	259.717	+	799.328i	0.312160	+	0.960731i
$833$	−1409.66	−	629.346i	−1.69227	−	0.755518i
$834$			261.068i			0.313032i
$835$	−254.338	−	229.007i	−0.304597	−	0.274260i
$836$	1874.77	−	197.046i	2.24255	−	0.235701i
$837$	−499.857	+	450.074i	−0.597201	+	0.537722i
$838$	1363.50	+	143.309i	1.62709	+	0.171014i
$839$	1061.68	−	771.356i	1.26541	−	0.919375i	0.266401	−	0.963862i	$-0.414165\pi$
$839$	1061.68	−	771.356i	1.26541	−	0.919375i	0.999010	+	0.0444869i	$0.0141653\pi$
$840$	−1418.99	+	300.859i	−1.68927	+	0.358166i
$841$	89.1158	−	64.7464i	0.105964	−	0.0769874i
$842$	617.889	−	1387.80i	0.733835	−	1.64822i
$843$	383.274	+	860.848i	0.454655	+	1.02117i
$844$	−263.191	+	236.978i	−0.311838	+	0.280780i
$845$	−314.148	+	705.588i	−0.371773	+	0.835016i
$846$	−137.699	−	423.793i	−0.162764	−	0.500937i
$847$	−118.079	+	12.3497i	−0.139409	+	0.0145806i
$848$	−369.250	+	508.229i	−0.435437	+	0.599327i
$849$	727.475	+	655.022i	0.856862	+	0.771522i
$850$	599.077	+	665.342i	0.704797	+	0.782756i
$851$	−492.566	−	547.050i	−0.578808	−	0.642832i
$852$	343.674	−	198.420i	0.403373	−	0.232888i
$853$	−645.070	−	209.596i	−0.756236	−	0.245716i	−0.0945738	−	0.995518i	$-0.530149\pi$
$853$	−645.070	−	209.596i	−0.756236	−	0.245716i	−0.661663	+	0.749802i	$0.730149\pi$
$854$	299.579	−	920.412i	0.350795	−	1.07777i
$855$	83.1810	−	114.489i	0.0972877	−	0.133905i
$856$	−1138.85	+	1264.82i	−1.33043	+	1.47759i
$857$	−173.910	+	818.183i	−0.202929	+	0.954705i	0.752296	+	0.658825i	$0.228946\pi$
$857$	−173.910	+	818.183i	−0.202929	+	0.954705i	−0.955225	+	0.295880i	$0.904387\pi$
$858$	−2219.28	−	1281.30i	−2.58657	−	1.49336i
$859$	441.328	+	46.3854i	0.513769	+	0.0539993i	0.357866	−	0.933773i	$-0.383504\pi$
$859$	441.328	+	46.3854i	0.513769	+	0.0539993i	0.155903	+	0.987772i	$0.450171\pi$
$860$			2422.14i			2.81644i
$861$	−784.521	+	522.973i	−0.911174	+	0.607402i
$862$	−1973.74			−2.28972
$863$	1.75616	−	16.7087i	0.00203494	−	0.0193612i	−0.993457	−	0.114204i	$-0.963568\pi$
$863$	1.75616	−	16.7087i	0.00203494	−	0.0193612i	0.995492	+	0.0948429i	$0.0302349\pi$
$864$	−125.905	+	218.073i	−0.145723	+	0.252399i
$865$	1044.15	+	221.941i	1.20711	+	0.256579i
$866$	2183.05	+	1965.63i	2.52085	+	2.26978i
$867$	1870.01	+	1358.64i	2.15687	+	1.56706i
$868$	−1111.96	−	1236.22i	−1.28106	−	1.42422i
$869$	−62.9321	+	193.685i	−0.0724189	+	0.222883i
$870$	732.598	+	1268.90i	0.842066	+	1.45850i
$871$	71.6445	−	64.5090i	0.0822554	−	0.0740631i
$872$	21.6672	−	19.5092i	0.0248477	−	0.0223729i
$873$	−70.1682	+	77.9297i	−0.0803760	+	0.0892666i
$874$	−879.335	−	638.874i	−1.00610	−	0.730978i
$875$	−869.953	−	387.860i	−0.994232	−	0.443269i
$876$	−570.114	+	185.241i	−0.650816	+	0.211463i
$877$	1009.82	+	449.601i	1.15145	+	0.512658i	0.891525	−	0.452972i	$-0.149636\pi$
$877$	1009.82	+	449.601i	1.15145	+	0.512658i	0.259923	+	0.965629i	$0.416303\pi$
$878$	1096.38	+	1217.65i	1.24872	+	1.38684i
$879$	−384.445	+	171.166i	−0.437366	+	0.194728i
$880$	−903.503	−	402.265i	−1.02671	−	0.457120i
$881$	−75.2330	−	103.549i	−0.0853950	−	0.117536i	0.764182	−	0.645000i	$-0.223143\pi$
$881$	−75.2330	−	103.549i	−0.0853950	−	0.117536i	−0.849577	+	0.527464i	$0.823143\pi$
$882$	−206.879	+	229.291i	−0.234557	+	0.259968i
$883$	359.190	+	494.383i	0.406784	+	0.559890i	0.962430	−	0.271529i	$-0.0875292\pi$
$883$	359.190	+	494.383i	0.406784	+	0.559890i	−0.555647	+	0.831419i	$0.687529\pi$
$884$	520.138	−	4948.78i	0.588391	−	5.59817i
$885$	−592.300	−	657.816i	−0.669265	−	0.743295i
$886$	176.996	+	1684.00i	0.199769	+	1.90068i
$887$	−529.205	+	587.741i	−0.596623	+	0.662617i	−0.963517	−	0.267646i	$-0.913754\pi$
$887$	−529.205	+	587.741i	−0.596623	+	0.662617i	0.366894	+	0.930263i	$0.380421\pi$
$888$	2302.60			2.59301
$889$	−255.894	+	147.567i	−0.287845	+	0.165992i
$890$	−310.207	+	100.792i	−0.348547	+	0.113250i
$891$	229.358	+	1079.04i	0.257416	+	1.21105i
$892$	−1688.74	+	1520.55i	−1.89320	+	1.70465i
$893$	678.515	−	1175.22i	0.759815	−	1.31604i
$894$	−270.502	−	1272.61i	−0.302575	−	1.42350i
$895$	1008.82	−	732.950i	1.12717	−	0.818939i
$896$	1205.91	+	697.054i	1.34588	+	0.777962i
$897$	308.847	+	950.534i	0.344311	+	1.05968i
$898$	−482.747	+	536.145i	−0.537580	+	0.597043i
$899$	−438.052	+	758.728i	−0.487265	+	0.843968i
$900$	110.675	−	49.2758i	0.122972	−	0.0547509i
$901$	−837.269	+	483.398i	−0.929267	+	0.536512i
$902$	−1691.83	−	67.4413i	−1.87564	−	0.0747686i
$903$	951.281	+	1310.73i	1.05347	+	1.45153i
$904$	1439.93	+	1046.17i	1.59284	+	1.15727i
$905$	−630.085	+	363.780i	−0.696226	+	0.401966i
$906$	−111.603	+	525.051i	−0.123182	+	0.579527i
$907$	−1736.60	−	369.126i	−1.91467	−	0.406975i	−0.999996	−	0.00277556i	$-0.999117\pi$
$907$	−1736.60	−	369.126i	−1.91467	−	0.406975i	−0.914671	−	0.404199i	$-0.867550\pi$
$908$	30.8158	−	293.193i	0.0339381	−	0.322899i
$909$	−59.7952	+	43.4437i	−0.0657813	+	0.0477929i
$910$	589.939	+	1818.80i	0.648284	+	1.99868i
$911$	1282.77			1.40809			0.704044	−	0.710156i	$-0.251376\pi$
$911$	1282.77			1.40809			0.704044	+	0.710156i	$0.251376\pi$
$912$	1262.64	−	268.383i	1.38448	−	0.294280i
$913$	−1188.05	−	1319.47i	−1.30126	−	1.44520i
$914$	395.721	−	1861.72i	0.432955	−	2.03689i
$915$	55.5489	−	528.513i	0.0607092	−	0.577609i
$916$	1162.61			1.26922
$917$	−433.570	+	192.773i	−0.472814	+	0.210221i
$918$	−2121.91	+	1541.66i	−2.31144	+	1.67936i
$919$	180.905	+	851.091i	0.196850	+	0.926105i	0.960025	+	0.279914i	$0.0903059\pi$
$919$	180.905	+	851.091i	0.196850	+	0.926105i	−0.763175	+	0.646191i	$0.776361\pi$
$920$	413.217	+	928.100i	0.449149	+	1.00880i
$921$	446.033	−	46.8799i	0.484292	−	0.0509011i
$922$	−307.663	+	691.023i	−0.333691	+	0.749482i
$923$	−160.390	−	220.758i	−0.173770	−	0.239174i
$924$	−2209.46	+	468.457i	−2.39119	+	0.506988i
$925$	298.854	+	217.130i	0.323086	+	0.234736i
$926$	223.349	+	1050.78i	0.241198	+	1.13475i
$927$	72.5104	−	7.62115i	0.0782205	−	0.00822130i
$928$	−68.1919	+	320.818i	−0.0734827	+	0.345709i
$929$	296.945	+	514.323i	0.319639	+	0.553631i	0.980413	−	0.196954i	$-0.0631051\pi$
$929$	296.945	+	514.323i	0.319639	+	0.553631i	−0.660774	+	0.750585i	$0.729772\pi$
$930$	−1091.84	−	793.267i	−1.17402	−	0.852975i
$931$	−940.493	−	0.959684i	−1.01020	−	0.00103081i
$932$	−498.077	−	161.835i	−0.534418	−	0.173643i
$933$	622.155	−	132.243i	0.666833	−	0.141740i
$934$	1179.67	+	681.085i	1.26303	+	0.729213i
$935$	−1018.46	−	1131.11i	−1.08926	−	1.20974i
$936$	−474.360	−	211.199i	−0.506795	−	0.225640i
$937$	287.698	+	209.025i	0.307042	+	0.223079i	0.730626	−	0.682778i	$-0.239228\pi$
$937$	287.698	+	209.025i	0.307042	+	0.223079i	−0.423584	+	0.905857i	$0.639228\pi$
$938$	13.1942	−	124.921i	0.0140663	−	0.133178i
$939$	−66.6914	−	205.255i	−0.0710239	−	0.218589i
$940$	−2105.84	+	1215.81i	−2.24025	+	1.29341i
$941$	536.175	+	1204.27i	0.569792	+	1.27977i	0.936900	+	0.349596i	$0.113681\pi$
$941$	536.175	+	1204.27i	0.569792	+	1.27977i	−0.367108	+	0.930178i	$0.619652\pi$
$942$	635.315	−	1100.40i	0.674432	−	1.16815i
$943$	472.754	+	461.064i	0.501330	+	0.488933i
$944$		−	1341.08i		−	1.42063i
$945$	341.163	−	590.216i	0.361019	−	0.624568i
$946$			2908.38i			3.07440i
$947$	−532.159	+	591.023i	−0.561942	+	0.624100i	−0.955426	−	0.295232i	$-0.904603\pi$
$947$	−532.159	+	591.023i	−0.561942	+	0.624100i	0.393484	+	0.919332i	$0.371270\pi$
$948$	−99.0262	+	465.882i	−0.104458	+	0.491436i
$949$	167.653	+	376.555i	0.176663	+	0.396791i
$950$	498.282	+	221.850i	0.524508	+	0.233526i
$951$	−1394.78	−	453.192i	−1.46665	−	0.476543i
$952$	−1986.54	−	2737.17i	−2.08670	−	2.87518i
$953$	291.995	−	898.667i	0.306395	−	0.942987i	−0.672758	−	0.739863i	$-0.734890\pi$
$953$	291.995	−	898.667i	0.306395	−	0.942987i	0.979153	−	0.203124i	$-0.0651096\pi$
$954$	40.2110	+	189.178i	0.0421499	+	0.198300i
$955$	−1307.08	−	277.828i	−1.36867	−	0.290920i
$956$	294.568	+	661.610i	0.308125	+	0.692061i
$957$	595.025	+	1030.61i	0.621761	+	1.07692i
$958$	−525.204	−	1616.41i	−0.548229	−	1.68728i
$959$	349.066	−	1072.45i	0.363989	−	1.11830i
$960$	571.814	+	185.793i	0.595639	+	0.193535i
$961$	−16.1000	+	153.181i	−0.0167534	+	0.159398i
$962$	−317.272	−	3018.64i	−0.329804	−	3.13788i
$963$	20.7954	+	197.855i	0.0215944	+	0.205457i
$964$	−1307.48	+	2936.64i	−1.35631	+	3.04631i
$965$	313.590	−	227.837i	0.324964	−	0.236100i
$966$	1127.46	+	651.706i	1.16714	+	0.674643i
$967$	751.369	+	244.135i	0.777010	+	0.252466i	0.670563	−	0.741852i	$-0.266053\pi$
$967$	751.369	+	244.135i	0.777010	+	0.252466i	0.106447	+	0.994318i	$0.466053\pi$
$968$	−237.612	−	105.792i	−0.245467	−	0.109289i
$969$	1943.18	+	413.035i	2.00534	+	0.426249i
$970$	732.639	+	422.990i	0.755298	+	0.436072i
$971$	−84.2289	+	801.384i	−0.0867445	+	0.825319i	0.861496	+	0.507765i	$0.169528\pi$
$971$	−84.2289	+	801.384i	−0.0867445	+	0.825319i	−0.948240	+	0.317554i	$0.897139\pi$
$972$	246.623	+	759.027i	0.253727	+	0.780892i
$973$	105.927	−	117.523i	0.108866	−	0.120784i
$974$	853.649	−	2627.26i	0.876437	−	2.69739i
$975$	−250.772	−	434.350i	−0.257202	−	0.445488i
$976$	598.326	−	538.735i	0.613039	−	0.551982i
$977$	1496.82	−	157.322i	1.53206	−	0.161026i	0.699367	−	0.714763i	$-0.253465\pi$
$977$	1496.82	−	157.322i	1.53206	−	0.161026i	0.832692	+	0.553737i	$0.186799\pi$
$978$	200.575	−	1908.34i	0.205087	−	1.95127i
$979$	−251.954	+	81.8647i	−0.257358	+	0.0836207i
$980$	1458.60	+	844.107i	1.48836	+	0.861333i
$981$		−	3.40806i		−	0.00347407i
$982$	−82.0540	+	780.692i	−0.0835581	+	0.795002i
$983$	−1385.52	−	799.931i	−1.40948	−	0.813765i	−0.414144	−	0.910211i	$-0.635919\pi$
$983$	−1385.52	−	799.931i	−1.40948	−	0.813765i	−0.995338	+	0.0964467i	$0.969252\pi$
$984$	−2061.25	+	133.918i	−2.09477	+	0.136095i
$985$	835.007	−	482.092i	0.847723	−	0.489433i
$986$	−2008.03	+	2763.81i	−2.03654	+	2.80306i
$987$	−662.066	+	1484.98i	−0.670786	+	1.50454i
$988$	−936.785	−	2883.13i	−0.948162	−	2.91814i
$989$	759.002	−	842.957i	0.767444	−	0.852333i
$990$	−278.159	+	123.844i	−0.280969	+	0.125095i
$991$	−530.108	+	55.7166i	−0.534923	+	0.0562226i	−0.368139	−	0.929771i	$-0.620005\pi$
$991$	−530.108	+	55.7166i	−0.534923	+	0.0562226i	−0.166784	+	0.985993i	$0.553338\pi$
$992$	−62.8113	−	295.504i	−0.0633179	−	0.297887i
$993$		−	1957.58i		−	1.97138i
$994$	−347.738	−	74.0994i	−0.349837	−	0.0745467i
$995$	324.593	+	105.467i	0.326225	+	0.105997i
$996$	−3085.89	−	2778.55i	−3.09828	−	2.78971i
$997$	70.5031	−	31.3900i	0.0707153	−	0.0314845i	−0.371074	−	0.928603i	$-0.621010\pi$
$997$	70.5031	−	31.3900i	0.0707153	−	0.0314845i	0.441790	+	0.897119i	$0.354344\pi$
$998$	637.671	+	368.159i	0.638949	+	0.368897i
$999$	−724.118	+	804.215i	−0.724843	+	0.805020i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.3.x.a.31.5	✓	432
7.5	odd	6	inner	287.3.x.a.236.50	yes	432
41.4	even	10	inner	287.3.x.a.45.50	yes	432
287.250	odd	30	inner	287.3.x.a.250.5	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.3.x.a.31.5	✓	432	1.1	even	1	trivial
287.3.x.a.45.50	yes	432	41.4	even	10	inner
287.3.x.a.236.50	yes	432	7.5	odd	6	inner
287.3.x.a.250.5	yes	432	287.250	odd	30	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	287.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.367514 + 3.49667i) q^{2} +(1.64260 - 2.84507i) q^{3} +(-8.17901 - 1.73850i) q^{4} +(3.05662 + 2.75219i) q^{5} +(9.34458 + 6.78924i) q^{6} +(-1.45189 - 6.84777i) q^{7} +(4.73894 - 14.5850i) q^{8} +(-0.896289 - 1.55242i) q^{9} +O(q^{10})\)	\(q+(-0.367514 + 3.49667i) q^{2} +(1.64260 - 2.84507i) q^{3} +(-8.17901 - 1.73850i) q^{4} +(3.05662 + 2.75219i) q^{5} +(9.34458 + 6.78924i) q^{6} +(-1.45189 - 6.84777i) q^{7} +(4.73894 - 14.5850i) q^{8} +(-0.896289 - 1.55242i) q^{9} +(-10.7469 + 9.67651i) q^{10} +(-8.72873 + 7.85938i) q^{11} +(-18.3810 + 20.4142i) q^{12} +(15.2813 + 11.1025i) q^{13} +(24.4780 - 2.56011i) q^{14} +(12.8510 - 4.17554i) q^{15} +(18.7018 + 8.32659i) q^{16} +(21.0813 + 23.4131i) q^{17} +(5.75768 - 2.56349i) q^{18} +(17.5344 + 7.80680i) q^{19} +(-20.2154 - 27.8242i) q^{20} +(-21.8673 - 7.11745i) q^{21} +(-24.2737 - 33.4099i) q^{22} +(-1.68357 + 16.0181i) q^{23} +(-33.7111 - 37.4399i) q^{24} +(-0.844852 - 8.03823i) q^{25} +(-44.4377 + 49.3531i) q^{26} +23.6779 q^{27} +(-0.0298633 + 58.5322i) q^{28} +(29.3313 - 9.53032i) q^{29} +(9.87755 + 46.4702i) q^{30} +(-21.1107 + 19.0082i) q^{31} +(-5.31740 + 9.21000i) q^{32} +(8.02267 + 37.7437i) q^{33} +(-89.6156 + 65.1095i) q^{34} +(14.4085 - 24.9269i) q^{35} +(4.63187 + 14.2554i) q^{36} +(-30.5821 + 33.9648i) q^{37} +(-33.7419 + 58.4427i) q^{38} +(56.6884 - 25.2393i) q^{39} +(54.6258 - 31.5382i) q^{40} +(25.4013 - 32.1835i) q^{41} +(32.9239 - 73.8468i) q^{42} +(-56.9760 - 41.3955i) q^{43} +(85.0559 - 49.1071i) q^{44} +(1.53294 - 7.21191i) q^{45} +(-55.3913 - 11.7738i) q^{46} +(7.39034 - 70.3144i) q^{47} +(54.4094 - 39.5308i) q^{48} +(-44.7840 + 19.8844i) q^{49} +28.4175 q^{50} +(101.240 - 21.5193i) q^{51} +(-105.684 - 117.374i) q^{52} +(-6.38010 + 30.0160i) q^{53} +(-8.70196 + 82.7936i) q^{54} -48.3109 q^{55} +(-106.755 - 11.2755i) q^{56} +(51.0129 - 37.0630i) q^{57} +(22.5447 + 106.064i) q^{58} +(-26.6449 - 59.8453i) q^{59} +(-112.368 + 11.8103i) q^{60} +(15.9964 - 35.9286i) q^{61} +(-58.7068 - 80.8030i) q^{62} +(-9.32929 + 8.39152i) q^{63} +(35.9977 + 26.1539i) q^{64} +(16.1528 + 75.9930i) q^{65} +(-134.926 + 14.1812i) q^{66} +(1.06118 - 4.99244i) q^{67} +(-131.720 - 228.146i) q^{68} +(42.8073 + 31.1013i) q^{69} +(81.8658 + 59.5428i) q^{70} +(-13.7393 - 4.46416i) q^{71} +(-26.8894 + 5.71552i) q^{72} +(18.8985 + 10.9111i) q^{73} +(-107.524 - 119.418i) q^{74} +(-24.2571 - 10.7999i) q^{75} +(-129.842 - 94.3354i) q^{76} +(66.4924 + 48.3614i) q^{77} +(67.4196 + 207.496i) q^{78} +(15.0156 - 8.66926i) q^{79} +(34.2480 + 76.9223i) q^{80} +(46.9599 - 81.3370i) q^{81} +(103.200 + 100.648i) q^{82} +151.164i q^{83} +(166.479 + 96.2300i) q^{84} +129.585i q^{85} +(165.686 - 184.013i) q^{86} +(21.0653 - 99.1042i) q^{87} +(73.2639 + 164.553i) q^{88} +(20.6047 + 9.17382i) q^{89} +(24.6543 + 8.01065i) q^{90} +(53.8406 - 120.762i) q^{91} +(41.6175 - 128.086i) q^{92} +(19.4031 + 91.2845i) q^{93} +(243.150 + 51.6831i) q^{94} +(32.1100 + 72.1204i) q^{95} +(17.4687 + 30.2567i) q^{96} +(-18.0773 - 55.6363i) q^{97} +(-53.0703 - 163.903i) q^{98} +(20.0245 + 6.50635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 3 q^{2} + 101 q^{4} - 9 q^{5} - 10 q^{7} - 40 q^{8} - 624 q^{9}+O(q^{10}) \) 432 * q - 3 * q^2 + 101 * q^4 - 9 * q^5 - 10 * q^7 - 40 * q^8 - 624 * q^9	\( 432 q - 3 q^{2} + 101 q^{4} - 9 q^{5} - 10 q^{7} - 40 q^{8} - 624 q^{9} - 90 q^{10} - 5 q^{11} - 15 q^{12} + 70 q^{15} + 197 q^{16} - 15 q^{17} - 6 q^{18} - 15 q^{19} + 166 q^{21} + 60 q^{22} + 18 q^{23} + 480 q^{24} - 213 q^{25} - 15 q^{26} - 105 q^{28} + 360 q^{29} - 15 q^{30} - 45 q^{31} + 142 q^{32} + 36 q^{33} - 150 q^{35} + 46 q^{36} + 82 q^{37} - 80 q^{39} - 54 q^{40} + 228 q^{42} - 88 q^{43} + 330 q^{45} - 96 q^{46} - 15 q^{47} + 50 q^{49} - 472 q^{50} + 150 q^{51} - 15 q^{52} - 230 q^{53} + 465 q^{54} + 180 q^{56} + 382 q^{57} - 5 q^{58} - 207 q^{59} - 480 q^{60} - 441 q^{61} + 200 q^{63} - 128 q^{64} - 290 q^{65} - 918 q^{66} + 115 q^{67} + 1175 q^{70} - 730 q^{71} - 309 q^{72} - 78 q^{73} + 589 q^{74} + 240 q^{75} + 684 q^{77} - 434 q^{78} - 27 q^{80} - 1936 q^{81} - 309 q^{82} - 173 q^{84} - 439 q^{86} - 1002 q^{87} + 1335 q^{89} - 274 q^{91} - 270 q^{92} + 765 q^{93} + 1515 q^{94} + 715 q^{95} - 454 q^{98} + 480 q^{99}+O(q^{100}) \) 432 * q - 3 * q^2 + 101 * q^4 - 9 * q^5 - 10 * q^7 - 40 * q^8 - 624 * q^9 - 90 * q^10 - 5 * q^11 - 15 * q^12 + 70 * q^15 + 197 * q^16 - 15 * q^17 - 6 * q^18 - 15 * q^19 + 166 * q^21 + 60 * q^22 + 18 * q^23 + 480 * q^24 - 213 * q^25 - 15 * q^26 - 105 * q^28 + 360 * q^29 - 15 * q^30 - 45 * q^31 + 142 * q^32 + 36 * q^33 - 150 * q^35 + 46 * q^36 + 82 * q^37 - 80 * q^39 - 54 * q^40 + 228 * q^42 - 88 * q^43 + 330 * q^45 - 96 * q^46 - 15 * q^47 + 50 * q^49 - 472 * q^50 + 150 * q^51 - 15 * q^52 - 230 * q^53 + 465 * q^54 + 180 * q^56 + 382 * q^57 - 5 * q^58 - 207 * q^59 - 480 * q^60 - 441 * q^61 + 200 * q^63 - 128 * q^64 - 290 * q^65 - 918 * q^66 + 115 * q^67 + 1175 * q^70 - 730 * q^71 - 309 * q^72 - 78 * q^73 + 589 * q^74 + 240 * q^75 + 684 * q^77 - 434 * q^78 - 27 * q^80 - 1936 * q^81 - 309 * q^82 - 173 * q^84 - 439 * q^86 - 1002 * q^87 + 1335 * q^89 - 274 * q^91 - 270 * q^92 + 765 * q^93 + 1515 * q^94 + 715 * q^95 - 454 * q^98 + 480 * q^99

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