LMFDB - Embedded newform 430.2.p.a.59.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(59,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 8]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("430.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.p (of order $14$, degree $6$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$132$
Relative dimension:	$22$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			59.11
Character	$\chi$	$=$	430.59
Dual form			430.2.p.a.379.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.974928 + 0.222521i) q^{2} +(3.15256 + 0.719552i) q^{3} +(0.900969 - 0.433884i) q^{4} +(-1.55589 + 1.60599i) q^{5} -3.23364 q^{6} +0.962433i q^{7} +(-0.781831 + 0.623490i) q^{8} +(6.71798 + 3.23521i) q^{9} +O(q^{10})$	\(q+(-0.974928 + 0.222521i) q^{2} +(3.15256 + 0.719552i) q^{3} +(0.900969 - 0.433884i) q^{4} +(-1.55589 + 1.60599i) q^{5} -3.23364 q^{6} +0.962433i q^{7} +(-0.781831 + 0.623490i) q^{8} +(6.71798 + 3.23521i) q^{9} +(1.15952 - 1.91194i) q^{10} +(-2.56066 - 1.23315i) q^{11} +(3.15256 - 0.719552i) q^{12} +(-0.358131 + 0.285600i) q^{13} +(-0.214161 - 0.938303i) q^{14} +(-6.06064 + 3.94343i) q^{15} +(0.623490 - 0.781831i) q^{16} +(5.97847 + 4.76767i) q^{17} +(-7.26945 - 1.65920i) q^{18} +(-0.365725 + 0.176124i) q^{19} +(-0.705000 + 2.12202i) q^{20} +(-0.692520 + 3.03413i) q^{21} +(2.77086 + 0.632431i) q^{22} +(-1.61437 + 3.35227i) q^{23} +(-2.91340 + 1.40302i) q^{24} +(-0.158391 - 4.99749i) q^{25} +(0.285600 - 0.358131i) q^{26} +(11.2665 + 8.98472i) q^{27} +(0.417584 + 0.867122i) q^{28} +(-0.614601 - 2.69274i) q^{29} +(5.03119 - 5.19318i) q^{30} +(-1.43567 - 6.29009i) q^{31} +(-0.433884 + 0.900969i) q^{32} +(-7.18533 - 5.73011i) q^{33} +(-6.88949 - 3.31780i) q^{34} +(-1.54565 - 1.49744i) q^{35} +7.45640 q^{36} -5.08521i q^{37} +(0.317364 - 0.253090i) q^{38} +(-1.33453 + 0.642678i) q^{39} +(0.215130 - 2.22570i) q^{40} +(0.863132 + 3.78163i) q^{41} -3.11216i q^{42} +(2.80957 - 5.92506i) q^{43} -2.84212 q^{44} +(-15.6482 + 5.75535i) q^{45} +(0.827943 - 3.62746i) q^{46} +(-1.06421 - 2.20986i) q^{47} +(2.52816 - 2.01614i) q^{48} +6.07372 q^{49} +(1.26647 + 4.83695i) q^{50} +(15.4169 + 19.3322i) q^{51} +(-0.198748 + 0.412704i) q^{52} +(-5.80200 - 4.62694i) q^{53} +(-12.9833 - 6.25242i) q^{54} +(5.96454 - 2.19374i) q^{55} +(-0.600067 - 0.752460i) q^{56} +(-1.27970 + 0.292083i) q^{57} +(1.19838 + 2.48847i) q^{58} +(-5.52858 + 6.93262i) q^{59} +(-3.74946 + 6.18252i) q^{60} +(1.13897 - 4.99017i) q^{61} +(2.79935 + 5.81292i) q^{62} +(-3.11367 + 6.46561i) q^{63} +(0.222521 - 0.974928i) q^{64} +(0.0985438 - 1.01952i) q^{65} +(8.28024 + 3.98756i) q^{66} +(3.13638 + 6.51276i) q^{67} +(7.45503 + 1.70156i) q^{68} +(-7.50153 + 9.40662i) q^{69} +(1.84011 + 1.11596i) q^{70} +(8.71947 - 4.19908i) q^{71} +(-7.26945 + 1.65920i) q^{72} +(-6.77095 + 5.39965i) q^{73} +(1.13157 + 4.95771i) q^{74} +(3.09661 - 15.8689i) q^{75} +(-0.253090 + 0.317364i) q^{76} +(1.18682 - 2.46446i) q^{77} +(1.15807 - 0.923527i) q^{78} +13.0193 q^{79} +(0.285528 + 2.21776i) q^{80} +(15.1063 + 18.9427i) q^{81} +(-1.68298 - 3.49475i) q^{82} +(-5.49415 - 1.25400i) q^{83} +(0.692520 + 3.03413i) q^{84} +(-16.9587 + 2.18336i) q^{85} +(-1.42067 + 6.40169i) q^{86} -8.93127i q^{87} +(2.77086 - 0.632431i) q^{88} +(3.82925 - 16.7770i) q^{89} +(13.9752 - 9.09310i) q^{90} +(-0.274871 - 0.344677i) q^{91} +3.72074i q^{92} -20.8629i q^{93} +(1.52927 + 1.91764i) q^{94} +(0.286177 - 0.861380i) q^{95} +(-2.01614 + 2.52816i) q^{96} +(5.86794 - 12.1849i) q^{97} +(-5.92144 + 1.35153i) q^{98} +(-13.2130 - 16.5686i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9}+O(q^{10}) $ 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9	$ 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9} + 8 q^{11} - 10 q^{14} - 20 q^{15} - 22 q^{16} - 4 q^{19} + 4 q^{20} - 24 q^{21} + 4 q^{24} - 16 q^{25} + 12 q^{26} + 40 q^{29} + 24 q^{31} - 4 q^{35} + 128 q^{36} - 56 q^{39} - 28 q^{41} - 8 q^{44} - 80 q^{45} - 12 q^{46} - 136 q^{49} - 56 q^{50} + 172 q^{51} + 16 q^{54} - 4 q^{56} + 16 q^{59} - 8 q^{60} - 44 q^{61} + 22 q^{64} + 42 q^{65} + 8 q^{66} - 62 q^{69} + 12 q^{70} - 8 q^{71} - 4 q^{74} - 122 q^{75} - 52 q^{76} - 64 q^{79} - 4 q^{80} - 56 q^{81} + 24 q^{84} - 72 q^{85} - 10 q^{86} + 16 q^{89} + 2 q^{90} - 24 q^{91} - 20 q^{94} + 106 q^{95} - 4 q^{96} - 104 q^{99}+O(q^{100}) $ 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9 + 8 * q^11 - 10 * q^14 - 20 * q^15 - 22 * q^16 - 4 * q^19 + 4 * q^20 - 24 * q^21 + 4 * q^24 - 16 * q^25 + 12 * q^26 + 40 * q^29 + 24 * q^31 - 4 * q^35 + 128 * q^36 - 56 * q^39 - 28 * q^41 - 8 * q^44 - 80 * q^45 - 12 * q^46 - 136 * q^49 - 56 * q^50 + 172 * q^51 + 16 * q^54 - 4 * q^56 + 16 * q^59 - 8 * q^60 - 44 * q^61 + 22 * q^64 + 42 * q^65 + 8 * q^66 - 62 * q^69 + 12 * q^70 - 8 * q^71 - 4 * q^74 - 122 * q^75 - 52 * q^76 - 64 * q^79 - 4 * q^80 - 56 * q^81 + 24 * q^84 - 72 * q^85 - 10 * q^86 + 16 * q^89 + 2 * q^90 - 24 * q^91 - 20 * q^94 + 106 * q^95 - 4 * q^96 - 104 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$-1$	$e\left(\frac{4}{7}\right)$

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 $

$2$	−0.974928	+	0.222521i	−0.689378	+	0.157346i
$2$	−0.974928	+	0.222521i	−0.689378	+	0.157346i
$3$	3.15256	+	0.719552i	1.82013	+	0.415433i	0.989874	−	0.141946i	$-0.0453360\pi$
$3$	3.15256	+	0.719552i	1.82013	+	0.415433i	0.830258	+	0.557380i	$0.188193\pi$
$4$	0.900969	−	0.433884i	0.450484	−	0.216942i
$5$	−1.55589	+	1.60599i	−0.695817	+	0.718219i
$5$	−1.55589	+	1.60599i	−0.695817	+	0.718219i
$6$	−3.23364			−1.32013
$7$			0.962433i			0.363765i	0.983320	+	0.181883i	$0.0582191\pi$
$7$			0.962433i			0.363765i	−0.983320	+	0.181883i	$0.941781\pi$
$8$	−0.781831	+	0.623490i	−0.276419	+	0.220437i
$9$	6.71798	+	3.23521i	2.23933	+	1.07840i
$10$	1.15952	−	1.91194i	0.366672	−	0.604609i
$11$	−2.56066	−	1.23315i	−0.772068	−	0.371809i	0.00600498	−	0.999982i	$-0.498089\pi$
$11$	−2.56066	−	1.23315i	−0.772068	−	0.371809i	−0.778073	+	0.628173i	$0.783803\pi$
$12$	3.15256	−	0.719552i	0.910066	−	0.207717i
$13$	−0.358131	+	0.285600i	−0.0993277	+	0.0792112i	−0.671894	−	0.740647i	$-0.734519\pi$
$13$	−0.358131	+	0.285600i	−0.0993277	+	0.0792112i	0.572567	+	0.819858i	$0.305948\pi$
$14$	−0.214161	−	0.938303i	−0.0572371	−	0.250772i
$15$	−6.06064	+	3.94343i	−1.56485	+	1.01819i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	5.97847	+	4.76767i	1.44999	+	1.15633i	0.958372	+	0.285521i	$0.0921667\pi$
$17$	5.97847	+	4.76767i	1.44999	+	1.15633i	0.491620	+	0.870810i	$0.336405\pi$
$18$	−7.26945	−	1.65920i	−1.71343	−	0.391078i
$19$	−0.365725	+	0.176124i	−0.0839031	+	0.0404056i	−0.475365	−	0.879789i	$-0.657684\pi$
$19$	−0.365725	+	0.176124i	−0.0839031	+	0.0404056i	0.391462	+	0.920194i	$0.371970\pi$
$20$	−0.705000	+	2.12202i	−0.157643	+	0.474498i
$21$	−0.692520	+	3.03413i	−0.151120	+	0.662101i
$22$	2.77086	+	0.632431i	0.590750	+	0.134835i
$23$	−1.61437	+	3.35227i	−0.336619	+	0.698997i	−0.998729	−	0.0504101i	$-0.983947\pi$
$23$	−1.61437	+	3.35227i	−0.336619	+	0.698997i	0.662109	+	0.749407i	$0.269661\pi$
$24$	−2.91340	+	1.40302i	−0.594696	+	0.286391i
$25$	−0.158391	−	4.99749i	−0.0316782	−	0.999498i
$26$	0.285600	−	0.358131i	0.0560108	−	0.0702353i
$27$	11.2665	+	8.98472i	2.16823	+	1.72911i
$28$	0.417584	+	0.867122i	0.0789159	+	0.163871i
$29$	−0.614601	−	2.69274i	−0.114128	−	0.500030i	−0.999390	−	0.0349352i	$-0.988878\pi$
$29$	−0.614601	−	2.69274i	−0.114128	−	0.500030i	0.885261	−	0.465094i	$-0.153980\pi$
$30$	5.03119	−	5.19318i	0.918566	−	0.948140i
$31$	−1.43567	−	6.29009i	−0.257854	−	1.12973i	−0.923540	−	0.383501i	$-0.874718\pi$
$31$	−1.43567	−	6.29009i	−0.257854	−	1.12973i	0.665686	−	0.746232i	$-0.268139\pi$
$32$	−0.433884	+	0.900969i	−0.0767005	+	0.159270i
$33$	−7.18533	−	5.73011i	−1.25080	−	0.997484i
$34$	−6.88949	−	3.31780i	−1.18154	−	0.568998i
$35$	−1.54565	−	1.49744i	−0.261263	−	0.253114i
$36$	7.45640			1.24273
$37$		−	5.08521i		−	0.836003i	−0.908446	−	0.418001i	$-0.862731\pi$
$37$		−	5.08521i		−	0.836003i	0.908446	−	0.418001i	$-0.137269\pi$
$38$	0.317364	−	0.253090i	0.0514833	−	0.0410566i
$39$	−1.33453	+	0.642678i	−0.213697	+	0.102911i
$40$	0.215130	−	2.22570i	0.0340150	−	0.351913i
$41$	0.863132	+	3.78163i	0.134799	+	0.590591i	0.996531	+	0.0832273i	$0.0265227\pi$
$41$	0.863132	+	3.78163i	0.134799	+	0.590591i	−0.861732	+	0.507364i	$0.830620\pi$
$42$		−	3.11216i		−	0.480216i
$43$	2.80957	−	5.92506i	0.428455	−	0.903563i
$43$	2.80957	−	5.92506i	0.428455	−	0.903563i
$44$	−2.84212			−0.428466
$45$	−15.6482	+	5.75535i	−2.33269	+	0.857957i
$46$	0.827943	−	3.62746i	0.122074	−	0.534839i
$47$	−1.06421	−	2.20986i	−0.155231	−	0.322341i	0.808821	−	0.588056i	$-0.200106\pi$
$47$	−1.06421	−	2.20986i	−0.155231	−	0.322341i	−0.964052	+	0.265715i	$0.914392\pi$
$48$	2.52816	−	2.01614i	0.364908	−	0.291005i
$49$	6.07372			0.867675
$50$	1.26647	+	4.83695i	0.179105	+	0.684048i
$51$	15.4169	+	19.3322i	2.15880	+	2.70705i
$52$	−0.198748	+	0.412704i	−0.0275614	+	0.0572318i
$53$	−5.80200	−	4.62694i	−0.796967	−	0.635560i	0.137945	−	0.990440i	$-0.455950\pi$
$53$	−5.80200	−	4.62694i	−0.796967	−	0.635560i	−0.934912	+	0.354880i	$0.884522\pi$
$54$	−12.9833	−	6.25242i	−1.76680	−	0.850847i
$55$	5.96454	−	2.19374i	0.804258	−	0.295804i
$56$	−0.600067	−	0.752460i	−0.0801873	−	0.100552i
$57$	−1.27970	+	0.292083i	−0.169501	+	0.0386874i
$58$	1.19838	+	2.48847i	0.157355	+	0.326752i
$59$	−5.52858	+	6.93262i	−0.719760	+	0.902551i	−0.998324	−	0.0578668i	$-0.981570\pi$
$59$	−5.52858	+	6.93262i	−0.719760	+	0.902551i	0.278564	+	0.960418i	$0.410142\pi$
$60$	−3.74946	+	6.18252i	−0.484053	+	0.798160i
$61$	1.13897	−	4.99017i	0.145831	−	0.638925i	−0.848186	−	0.529698i	$-0.822305\pi$
$61$	1.13897	−	4.99017i	0.145831	−	0.638925i	0.994017	−	0.109227i	$-0.0348376\pi$
$62$	2.79935	+	5.81292i	0.355518	+	0.738241i
$63$	−3.11367	+	6.46561i	−0.392286	+	0.814590i
$64$	0.222521	−	0.974928i	0.0278151	−	0.121866i
$65$	0.0985438	−	1.01952i	0.0122229	−	0.126456i
$66$	8.28024	+	3.98756i	1.01923	+	0.490834i
$67$	3.13638	+	6.51276i	0.383170	+	0.795660i	0.999964	+	0.00853518i	$0.00271687\pi$
$67$	3.13638	+	6.51276i	0.383170	+	0.795660i	−0.616794	+	0.787125i	$0.711569\pi$
$68$	7.45503	+	1.70156i	0.904056	+	0.206345i
$69$	−7.50153	+	9.40662i	−0.903078	+	1.13242i
$70$	1.84011	+	1.11596i	0.219936	+	0.133383i
$71$	8.71947	−	4.19908i	1.03481	−	0.498339i	0.162201	−	0.986758i	$-0.448141\pi$
$71$	8.71947	−	4.19908i	1.03481	−	0.498339i	0.872609	+	0.488419i	$0.162426\pi$
$72$	−7.26945	+	1.65920i	−0.856713	+	0.195539i
$73$	−6.77095	+	5.39965i	−0.792480	+	0.631982i	−0.933724	−	0.357993i	$-0.883461\pi$
$73$	−6.77095	+	5.39965i	−0.792480	+	0.631982i	0.141244	+	0.989975i	$0.454890\pi$
$74$	1.13157	+	4.95771i	0.131542	+	0.576322i
$75$	3.09661	−	15.8689i	0.357566	−	1.83238i
$76$	−0.253090	+	0.317364i	−0.0290314	+	0.0364042i
$77$	1.18682	−	2.46446i	0.135251	−	0.280852i
$78$	1.15807	−	0.923527i	0.131125	−	0.104569i
$79$	13.0193			1.46479			0.732396	−	0.680879i	$-0.238402\pi$
$79$	13.0193			1.46479			0.732396	+	0.680879i	$0.238402\pi$
$80$	0.285528	+	2.21776i	0.0319230	+	0.247953i
$81$	15.1063	+	18.9427i	1.67848	+	2.10475i
$82$	−1.68298	−	3.49475i	−0.185854	−	0.385930i
$83$	−5.49415	−	1.25400i	−0.603062	−	0.137645i	−0.0899203	−	0.995949i	$-0.528661\pi$
$83$	−5.49415	−	1.25400i	−0.603062	−	0.137645i	−0.513141	+	0.858304i	$0.671518\pi$
$84$	0.692520	+	3.03413i	0.0755601	+	0.331051i
$85$	−16.9587	+	2.18336i	−1.83943	+	0.236819i
$86$	−1.42067	+	6.40169i	−0.153195	+	0.690312i
$87$		−	8.93127i		−	0.957533i
$88$	2.77086	−	0.632431i	0.295375	−	0.0674174i
$89$	3.82925	−	16.7770i	0.405899	−	1.77836i	−0.196853	−	0.980433i	$-0.563072\pi$
$89$	3.82925	−	16.7770i	0.405899	−	1.77836i	0.602752	−	0.797929i	$-0.294071\pi$
$90$	13.9752	−	9.09310i	1.47311	−	0.958497i
$91$	−0.274871	−	0.344677i	−0.0288143	−	0.0361320i
$92$			3.72074i			0.387914i
$93$		−	20.8629i		−	2.16339i
$94$	1.52927	+	1.91764i	0.157732	+	0.197790i
$95$	0.286177	−	0.861380i	0.0293611	−	0.0883757i
$96$	−2.01614	+	2.52816i	−0.205771	+	0.258029i
$97$	5.86794	−	12.1849i	0.595799	−	1.23719i	−0.357147	−	0.934048i	$-0.616250\pi$
$97$	5.86794	−	12.1849i	0.595799	−	1.23719i	0.952946	−	0.303141i	$-0.0980353\pi$
$98$	−5.92144	+	1.35153i	−0.598156	+	0.136525i
$99$	−13.2130	−	16.5686i	−1.32795	−	1.66520i
$100$	−2.31104	−	4.43386i	−0.231104	−	0.443386i
$101$	−12.3467	+	5.94588i	−1.22855	+	0.591637i	−0.931679	−	0.363282i	$-0.881656\pi$
$101$	−12.3467	+	5.94588i	−1.22855	+	0.591637i	−0.296867	+	0.954919i	$0.595942\pi$
$102$	−19.3322	−	15.4169i	−1.91417	−	1.52650i
$103$	−15.2714	−	12.1786i	−1.50474	−	1.19999i	−0.921916	−	0.387390i	$-0.873377\pi$
$103$	−15.2714	−	12.1786i	−1.50474	−	1.19999i	−0.582823	−	0.812599i	$-0.698052\pi$
$104$	0.101930	−	0.446582i	0.00999501	−	0.0437910i
$105$	−3.79528	−	5.83296i	−0.370382	−	0.569239i
$106$	6.68613	+	3.21987i	0.649414	+	0.312741i
$107$	−9.77304	−	2.23063i	−0.944796	−	0.215643i	−0.277744	−	0.960655i	$-0.589587\pi$
$107$	−9.77304	−	2.23063i	−0.944796	−	0.215643i	−0.667052	+	0.745012i	$0.732444\pi$
$108$	14.0491	+	3.20661i	1.35187	+	0.308556i
$109$	10.4396	+	5.02745i	0.999934	+	0.481543i	0.860916	−	0.508747i	$-0.169891\pi$
$109$	10.4396	+	5.02745i	0.999934	+	0.481543i	0.139018	+	0.990290i	$0.455605\pi$
$110$	−5.32684	+	3.46597i	−0.507894	+	0.330468i
$111$	3.65907	−	16.0314i	0.347303	−	1.52164i
$112$	0.752460	+	0.600067i	0.0711008	+	0.0567010i
$113$	6.90934	+	5.51002i	0.649976	+	0.518339i	0.892060	−	0.451917i	$-0.149260\pi$
$113$	6.90934	+	5.51002i	0.649976	+	0.518339i	−0.242084	+	0.970255i	$0.577831\pi$
$114$	1.18262	−	0.569521i	0.110763	−	0.0533405i
$115$	−2.87192	−	7.80844i	−0.267808	−	0.728140i
$116$	−1.72207	−	2.15941i	−0.159890	−	0.200496i
$117$	−3.32990	+	0.760027i	−0.307849	+	0.0702645i
$118$	3.84732	−	7.98903i	0.354174	−	0.735450i
$119$	−4.58857	+	5.75388i	−0.420633	+	0.527457i
$120$	2.27971	−	6.86184i	0.208108	−	0.626398i
$121$	−1.82206	−	2.28479i	−0.165642	−	0.207708i
$122$			5.11850i			0.463407i
$123$			12.5429i			1.13095i
$124$	−4.02266	−	5.04426i	−0.361246	−	0.452988i
$125$	8.27235	+	7.52119i	0.739901	+	0.672716i
$126$	1.59687	−	6.99636i	0.142261	−	0.623285i
$127$	−3.46767	+	0.791473i	−0.307706	+	0.0702319i	−0.373586	−	0.927596i	$-0.621872\pi$
$127$	−3.46767	+	0.791473i	−0.307706	+	0.0702319i	0.0658797	+	0.997828i	$0.479015\pi$
$128$			1.00000i			0.0883883i
$129$	13.1207	−	16.6575i	1.15521	−	1.46661i
$130$	0.130791	+	1.01588i	0.0114711	+	0.0890989i
$131$	−3.07606	−	13.4771i	−0.268757	−	1.17750i	−0.911461	−	0.411386i	$-0.865045\pi$
$131$	−3.07606	−	13.4771i	−0.268757	−	1.17750i	0.642704	−	0.766114i	$-0.277812\pi$
$132$	−8.95996	−	2.04505i	−0.779864	−	0.177999i
$133$	−0.169507	−	0.351986i	−0.0146982	−	0.0305210i
$134$	−4.50697	−	5.65156i	−0.389343	−	0.488220i
$135$	−31.9588	+	4.11456i	−2.75057	+	0.354125i
$136$	−7.64676			−0.655704
$137$	13.5921	−	10.8394i	1.16125	−	0.926069i	0.163088	−	0.986612i	$-0.447855\pi$
$137$	13.5921	−	10.8394i	1.16125	−	0.926069i	0.998166	+	0.0605428i	$0.0192832\pi$
$138$	5.22028	−	10.8400i	0.444380	−	0.922764i
$139$	0.813064	−	1.01955i	0.0689632	−	0.0864771i	−0.746153	−	0.665774i	$-0.768101\pi$
$139$	0.813064	−	1.01955i	0.0689632	−	0.0864771i	0.815117	+	0.579297i	$0.196673\pi$
$140$	−2.04230	−	0.678515i	−0.172606	−	0.0573450i
$141$	−1.76489	−	7.73247i	−0.148630	−	0.651191i
$142$	−7.56647	+	6.03406i	−0.634964	+	0.506367i
$143$	1.26924	−	0.289696i	0.106139	−	0.0242256i
$144$	6.71798	−	3.23521i	0.559832	−	0.269601i
$145$	5.28076	+	3.20258i	0.438543	+	0.265960i
$146$	5.39965	−	6.77095i	0.446879	−	0.560368i
$147$	19.1478	+	4.37036i	1.57928	+	0.360461i
$148$	−2.20639	−	4.58161i	−0.181364	−	0.376606i
$149$	7.67785	+	3.69746i	0.628994	+	0.302908i	0.721089	−	0.692843i	$-0.243642\pi$
$149$	7.67785	+	3.69746i	0.628994	+	0.302908i	−0.0920947	+	0.995750i	$0.529356\pi$
$150$	0.512179	+	16.1601i	0.0418193	+	1.31946i
$151$	−4.63502	+	20.3074i	−0.377193	+	1.65259i	0.328822	+	0.944392i	$0.393348\pi$
$151$	−4.63502	+	20.3074i	−0.377193	+	1.65259i	−0.706015	+	0.708197i	$0.749509\pi$
$152$	0.176124	−	0.365725i	0.0142855	−	0.0296642i
$153$	24.7389	+	51.3708i	2.00002	+	4.15308i
$154$	−0.608672	+	2.66677i	−0.0490482	+	0.214894i
$155$	12.3356	+	7.48104i	0.990816	+	0.600891i
$156$	−0.923527	+	1.15807i	−0.0739413	+	0.0927195i
$157$	3.85331	+	8.00148i	0.307528	+	0.638588i	0.996258	−	0.0864299i	$-0.0275459\pi$
$157$	3.85331	+	8.00148i	0.307528	+	0.638588i	−0.688730	+	0.725018i	$0.741832\pi$
$158$	−12.6929	+	2.89708i	−1.00979	+	0.230479i
$159$	−14.9618	−	18.7616i	−1.18655	−	1.48789i
$160$	−0.771868	−	2.09862i	−0.0610215	−	0.165911i
$161$	−3.22634	−	1.55372i	−0.254271	−	0.122450i
$162$	−18.9427	−	15.1063i	−1.48828	−	1.18687i
$163$	10.0403	−	20.8488i	0.786414	−	1.63301i	0.0123286	−	0.999924i	$-0.496076\pi$
$163$	10.0403	−	20.8488i	0.786414	−	1.63301i	0.774085	−	0.633081i	$-0.218210\pi$
$164$	2.41844	+	3.03263i	0.188849	+	0.236809i
$165$	20.3821	−	2.62411i	1.58674	−	0.204287i
$166$	5.63545			0.437395
$167$	−19.4402	+	15.5031i	−1.50433	+	1.19966i	−0.582045	+	0.813157i	$0.697747\pi$
$167$	−19.4402	+	15.5031i	−1.50433	+	1.19966i	−0.922286	+	0.386507i	$0.873681\pi$
$168$	−1.35031	−	2.80396i	−0.104179	−	0.216330i
$169$	−2.84608	+	12.4695i	−0.218929	+	0.959192i
$170$	16.0477	−	5.90228i	1.23080	−	0.452685i
$171$	−3.02673			−0.231460
$172$	−0.0394553	−	6.55732i	−0.00300844	−	0.499991i
$173$			3.14115i			0.238817i	0.992845	+	0.119409i	$0.0380999\pi$
$173$			3.14115i			0.238817i	−0.992845	+	0.119409i	$0.961900\pi$
$174$	1.98739	+	8.70735i	0.150664	+	0.660102i
$175$	4.80975	−	0.152441i	0.363583	−	0.0115234i
$176$	−2.56066	+	1.23315i	−0.193017	+	0.0929521i
$177$	−22.4176	+	17.8774i	−1.68501	+	1.34375i
$178$			17.2085i			1.28983i
$179$	−9.10494			−0.680535			−0.340268	−	0.940329i	$-0.610518\pi$
$179$	−9.10494			−0.680535			−0.340268	+	0.940329i	$0.610518\pi$
$180$	−11.6014	+	11.9749i	−0.864714	+	0.892555i
$181$	−3.23201	−	1.55645i	−0.240233	−	0.115690i	0.309894	−	0.950771i	$-0.399706\pi$
$181$	−3.23201	−	1.55645i	−0.240233	−	0.115690i	−0.550127	+	0.835081i	$0.685421\pi$
$182$	0.344677	+	0.274871i	0.0255492	+	0.0203748i
$183$	7.18136	−	14.9123i	0.530862	−	1.10235i
$184$	−0.827943	−	3.62746i	−0.0610368	−	0.267420i
$185$	8.16678	+	7.91204i	0.600434	+	0.581705i
$186$	4.64244	+	20.3399i	0.340400	+	1.49139i
$187$	−9.42959	−	19.5807i	−0.689560	−	1.43189i
$188$	−1.91764	−	1.52927i	−0.139858	−	0.111533i
$189$	−8.64718	+	10.8432i	−0.628990	+	0.788729i
$190$	−0.0873264	+	0.903464i	−0.00633532	+	0.0655442i
$191$	17.8991	−	8.61973i	1.29513	−	0.623702i	0.345896	−	0.938273i	$-0.387575\pi$
$191$	17.8991	−	8.61973i	1.29513	−	0.623702i	0.949234	+	0.314571i	$0.101861\pi$
$192$	1.40302	−	2.91340i	0.101254	−	0.210257i
$193$	−18.5591	−	4.23600i	−1.33591	−	0.304914i	−0.505869	−	0.862610i	$-0.668828\pi$
$193$	−18.5591	−	4.23600i	−1.33591	−	0.304914i	−0.830045	+	0.557697i	$0.811685\pi$
$194$	−3.00942	+	13.1851i	−0.216064	+	0.946638i
$195$	1.04426	−	3.14318i	0.0747811	−	0.225088i
$196$	5.47224	−	2.63529i	0.390874	−	0.188235i
$197$	−12.6376	−	2.88445i	−0.900393	−	0.205509i	−0.252821	−	0.967513i	$-0.581358\pi$
$197$	−12.6376	−	2.88445i	−0.900393	−	0.205509i	−0.647572	+	0.762004i	$0.724215\pi$
$198$	16.5686	+	13.2130i	1.17748	+	0.939005i
$199$	−6.89671	+	8.64820i	−0.488895	+	0.613055i	−0.963684	−	0.267045i	$-0.913953\pi$
$199$	−6.89671	+	8.64820i	−0.488895	+	0.613055i	0.474789	+	0.880099i	$0.342524\pi$
$200$	3.23972	+	3.80844i	0.229083	+	0.269297i
$201$	5.20136	+	22.7886i	0.366876	+	1.60739i
$202$	10.7141	−	8.54421i	0.753841	−	0.601169i
$203$	2.59158	−	0.591512i	0.181893	−	0.0415160i
$204$	22.2781	+	10.7286i	1.55978	+	0.751150i
$205$	−7.41619	−	4.49763i	−0.517969	−	0.314128i
$206$	17.5985	+	8.47501i	1.22615	+	0.590482i
$207$	−21.6906	+	17.2977i	−1.50760	+	1.20227i
$208$			0.458067i			0.0317612i
$209$	1.15369			0.0798021
$210$	4.99808	+	4.84218i	0.344901	+	0.334142i
$211$	−0.384199	+	0.185021i	−0.0264494	+	0.0127373i	−0.447062	−	0.894503i	$-0.647530\pi$
$211$	−0.384199	+	0.185021i	−0.0264494	+	0.0127373i	0.420612	+	0.907240i	$0.361815\pi$
$212$	−7.23498	−	1.65134i	−0.496901	−	0.113414i
$213$	30.5101	−	6.96373i	2.09052	−	0.477147i
$214$	10.0244			0.685252
$215$	5.14419	+	13.7309i	0.350831	+	0.936439i
$216$	−14.4104			−0.980501
$217$	6.05379	−	1.38174i	0.410958	−	0.0937985i
$218$	−11.2966	−	2.57837i	−0.765102	−	0.174629i
$219$	−25.2312	+	12.1507i	−1.70496	+	0.821068i
$220$	4.42203	−	4.56441i	0.298134	−	0.307732i
$221$	−3.50273			−0.235619
$222$			16.4437i			1.10363i
$223$	−6.54566	+	5.21999i	−0.438330	+	0.349556i	−0.817656	−	0.575707i	$-0.804727\pi$
$223$	−6.54566	+	5.21999i	−0.438330	+	0.349556i	0.379327	+	0.925263i	$0.376156\pi$
$224$	−0.867122	−	0.417584i	−0.0579370	−	0.0279010i
$225$	15.1039	−	34.0855i	1.00692	−	2.27237i
$226$	−7.96220	−	3.83439i	−0.529638	−	0.255060i
$227$	5.17321	−	1.18075i	0.343358	−	0.0783692i	−0.0473648	−	0.998878i	$-0.515082\pi$
$227$	5.17321	−	1.18075i	0.343358	−	0.0783692i	0.390723	+	0.920508i	$0.372225\pi$
$228$	−1.02624	+	0.818400i	−0.0679645	+	0.0541998i
$229$	0.0425711	+	0.186516i	0.00281318	+	0.0123253i	0.976315	−	0.216354i	$-0.0694165\pi$
$229$	0.0425711	+	0.186516i	0.00281318	+	0.0123253i	−0.973502	+	0.228679i	$0.926559\pi$
$230$	4.53746	+	6.97360i	0.299191	+	0.459826i
$231$	5.51484	−	6.91539i	0.362850	−	0.455000i
$232$	2.15941	+	1.72207i	0.141772	+	0.113060i
$233$	17.1537	+	3.91523i	1.12378	+	0.256495i	0.743736	−	0.668474i	$-0.233052\pi$
$233$	17.1537	+	3.91523i	1.12378	+	0.256495i	0.380043	+	0.924969i	$0.375909\pi$
$234$	3.07729	−	1.48194i	0.201168	−	0.0968776i
$235$	5.20480	+	1.72919i	0.339524	+	0.112800i
$236$	−1.97313	+	8.64484i	−0.128440	+	0.562731i
$237$	41.0443	+	9.36809i	2.66611	+	0.608523i
$238$	3.19316	−	6.63067i	0.206982	−	0.429802i
$239$	−3.30046	+	1.58942i	−0.213489	+	0.102811i	−0.537572	−	0.843218i	$-0.680658\pi$
$239$	−3.30046	+	1.58942i	−0.213489	+	0.102811i	0.324083	+	0.946029i	$0.394944\pi$
$240$	−0.695651	+	7.19709i	−0.0449041	+	0.464570i
$241$	−6.26334	+	7.85398i	−0.403457	+	0.505920i	−0.941507	−	0.336994i	$-0.890590\pi$
$241$	−6.26334	+	7.85398i	−0.403457	+	0.505920i	0.538050	+	0.842913i	$0.319161\pi$
$242$	2.28479	+	1.82206i	0.146872	+	0.117126i
$243$	15.2361	+	31.6381i	0.977395	+	2.02958i
$244$	−1.13897	−	4.99017i	−0.0729153	−	0.319463i
$245$	−9.45007	+	9.75432i	−0.603743	+	0.623181i
$246$	−2.79105	−	12.2284i	−0.177951	−	0.779654i
$247$	0.0806766	−	0.167527i	0.00513333	−	0.0106595i
$248$	5.04426	+	4.02266i	0.320311	+	0.255439i
$249$	−16.4183	−	7.90665i	−1.04047	−	0.501064i
$250$	−9.73856	−	5.49185i	−0.615921	−	0.347335i
$251$	−13.5047			−0.852406			−0.426203	−	0.904627i	$-0.640149\pi$
$251$	−13.5047			−0.852406			−0.426203	+	0.904627i	$0.640149\pi$
$252$			7.17628i			0.452063i
$253$	8.26771	−	6.59328i	0.519786	−	0.414516i
$254$	3.20461	−	1.54326i	0.201075	−	0.0968326i
$255$	−55.0344	−	5.31947i	−3.44639	−	0.333118i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$			12.8931i			0.804250i	0.915585	+	0.402125i	$0.131728\pi$
$257$			12.8931i			0.804250i	−0.915585	+	0.402125i	$0.868272\pi$
$258$	−9.08511	+	19.1595i	−0.565614	+	1.19282i
$259$	4.89417			0.304109
$260$	−0.353567	−	0.961310i	−0.0219273	−	0.0596179i
$261$	4.58271	−	20.0782i	0.283662	−	1.24281i
$262$	5.99788	+	12.4547i	0.370550	+	0.769455i
$263$	−11.0581	+	8.81852i	−0.681870	+	0.543773i	−0.902021	−	0.431693i	$-0.857916\pi$
$263$	−11.0581	+	8.81852i	−0.681870	+	0.543773i	0.220151	+	0.975466i	$0.429345\pi$
$264$	9.19038			0.565629
$265$	16.4581	−	2.11891i	1.01101	−	0.130164i
$266$	0.243582	+	0.305442i	0.0149350	+	0.0187278i
$267$	24.1439	−	50.1353i	1.47758	−	3.06823i
$268$	5.65156	+	4.50697i	0.345224	+	0.275307i
$269$	12.1824	+	5.86675i	0.742777	+	0.357702i	0.766695	−	0.642012i	$-0.221900\pi$
$269$	12.1824	+	5.86675i	0.742777	+	0.357702i	−0.0239184	+	0.999714i	$0.507614\pi$
$270$	30.2419	−	11.1229i	1.84047	−	0.676918i
$271$	2.47958	+	3.10929i	0.150624	+	0.188876i	0.851419	−	0.524487i	$-0.175743\pi$
$271$	2.47958	+	3.10929i	0.150624	+	0.188876i	−0.700795	+	0.713363i	$0.747171\pi$
$272$	7.45503	−	1.70156i	0.452028	−	0.103172i
$273$	−0.618534	−	1.28440i	−0.0374354	−	0.0777354i
$274$	−10.8394	+	13.5921i	−0.654829	+	0.821130i
$275$	−5.75707	+	12.9922i	−0.347164	+	0.783459i
$276$	−2.67727	+	11.7299i	−0.161152	+	0.706055i
$277$	10.7212	+	22.2628i	0.644175	+	1.33764i	0.925762	+	0.378107i	$0.123425\pi$
$277$	10.7212	+	22.2628i	0.644175	+	1.33764i	−0.281588	+	0.959536i	$0.590861\pi$
$278$	−0.565808	+	1.17491i	−0.0339349	+	0.0704665i
$279$	10.7049	−	46.9014i	0.640888	−	2.80791i
$280$	2.14208	+	0.207048i	0.128014	+	0.0123735i
$281$	−9.85872	−	4.74771i	−0.588122	−	0.283225i	0.116062	−	0.993242i	$-0.462973\pi$
$281$	−9.85872	−	4.74771i	−0.588122	−	0.283225i	−0.704184	+	0.710017i	$0.748687\pi$
$282$	3.44127	+	7.14587i	0.204925	+	0.425531i
$283$	−26.1786	−	5.97510i	−1.55616	−	0.355183i	−0.644000	−	0.765025i	$-0.722726\pi$
$283$	−26.1786	−	5.97510i	−1.55616	−	0.355183i	−0.912156	+	0.409843i	$0.865584\pi$
$284$	6.03406	−	7.56647i	0.358056	−	0.448987i
$285$	1.52200	−	2.50963i	0.0901553	−	0.148658i
$286$	−1.17295	+	0.564865i	−0.0693582	+	0.0334012i
$287$	−3.63956	+	0.830706i	−0.214837	+	0.0490350i
$288$	−5.82965	+	4.64899i	−0.343515	+	0.273944i
$289$	9.22858	+	40.4331i	0.542858	+	2.37841i
$290$	−5.86100	−	1.94720i	−0.344170	−	0.114344i
$291$	27.2667	−	34.1914i	1.59840	−	2.00433i
$292$	−3.75760	+	7.80273i	−0.219897	+	0.456620i
$293$	3.79959	−	3.03007i	0.221974	−	0.177019i	−0.506188	−	0.862423i	$-0.668946\pi$
$293$	3.79959	−	3.03007i	0.221974	−	0.177019i	0.728163	+	0.685404i	$0.240375\pi$
$294$	−19.6402			−1.14544
$295$	−2.53182	−	19.6653i	−0.147408	−	1.14496i
$296$	3.17057	+	3.97578i	0.184286	+	0.231087i
$297$	−17.7701	−	36.9001i	−1.03113	−	2.14116i
$298$	−8.30811	−	1.89627i	−0.481276	−	0.109848i
$299$	−0.379253	−	1.66162i	−0.0219328	−	0.0960938i
$300$	−4.09529	−	15.6409i	−0.236442	−	0.903029i
$301$	5.70247	+	2.70402i	0.328685	+	0.155857i
$302$		−	20.8296i		−	1.19861i
$303$	−43.2022	+	9.86063i	−2.48190	+	0.566478i
$304$	−0.0903267	+	0.395747i	−0.00518059	+	0.0226976i
$305$	6.24202	+	9.59334i	0.357417	+	0.549313i
$306$	−35.5497	−	44.5779i	−2.03224	−	2.54835i
$307$			15.2689i			0.871440i	0.900082	+	0.435720i	$0.143506\pi$
$307$			15.2689i			0.871440i	−0.900082	+	0.435720i	$0.856494\pi$
$308$		−	2.73535i		−	0.155861i
$309$	−39.3810	−	49.3822i	−2.24031	−	2.80926i
$310$	−13.6910	−	4.54855i	−0.777595	−	0.258340i
$311$	−6.33839	+	7.94809i	−0.359417	+	0.450695i	−0.928360	−	0.371682i	$-0.878781\pi$
$311$	−6.33839	+	7.94809i	−0.359417	+	0.450695i	0.568943	+	0.822377i	$0.307353\pi$
$312$	0.642678	−	1.33453i	0.0363845	−	0.0755531i
$313$	10.0464	−	2.29302i	0.567855	−	0.129609i	0.0710521	−	0.997473i	$-0.477364\pi$
$313$	10.0464	−	2.29302i	0.567855	−	0.129609i	0.496803	+	0.867863i	$0.334507\pi$
$314$	−5.53720	−	6.94343i	−0.312482	−	0.391840i
$315$	−5.53914	−	15.0603i	−0.312095	−	0.848552i
$316$	11.7300	−	5.64888i	0.659866	−	0.317775i
$317$	−11.7719	−	9.38778i	−0.661176	−	0.527270i	0.234422	−	0.972135i	$-0.424680\pi$
$317$	−11.7719	−	9.38778i	−0.661176	−	0.527270i	−0.895598	+	0.444865i	$0.853252\pi$
$318$	18.7616	+	14.9618i	1.05210	+	0.839019i
$319$	−1.74677	+	7.65309i	−0.0978003	+	0.428491i
$320$	1.21950	+	1.87425i	0.0681723	+	0.104774i
$321$	−29.2051	−	14.0644i	−1.63007	−	0.784999i
$322$	3.49118	+	0.796839i	0.194556	+	0.0444061i
$323$	−3.02618	−	0.690706i	−0.168381	−	0.0384319i
$324$	21.8293	+	10.5124i	1.21274	+	0.584024i
$325$	1.48401	+	1.74452i	0.0823180	+	0.0967686i
$326$	−5.14923	+	22.5603i	−0.285190	+	1.24950i
$327$	29.2940	+	23.3612i	1.61996	+	1.29188i
$328$	−3.03263	−	2.41844i	−0.167449	−	0.133536i
$329$	2.12684	−	1.02423i	0.117256	−	0.0564677i
$330$	−19.2871	+	7.09376i	−1.06172	+	0.390498i
$331$	−1.57926	−	1.98033i	−0.0868040	−	0.108849i	0.736533	−	0.676402i	$-0.236462\pi$
$331$	−1.57926	−	1.98033i	−0.0868040	−	0.108849i	−0.823337	+	0.567553i	$0.807890\pi$
$332$	−5.49415	+	1.25400i	−0.301531	+	0.0688225i
$333$	16.4517	−	34.1623i	0.901548	−	1.87208i
$334$	15.5031	−	19.4402i	0.848291	−	1.06372i
$335$	−15.3393	−	5.09617i	−0.838074	−	0.278434i
$336$	1.94040	+	2.43318i	0.105857	+	0.132741i
$337$			23.4045i			1.27493i	0.770481	+	0.637463i	$0.220016\pi$
$337$			23.4045i			1.27493i	−0.770481	+	0.637463i	$0.779984\pi$
$338$		−	12.7902i		−	0.695694i
$339$	17.8174	+	22.3423i	0.967707	+	1.21347i
$340$	−14.3319	+	9.32524i	−0.777258	+	0.505732i
$341$	−4.08035	+	17.8772i	−0.220963	+	0.968104i
$342$	2.95085	−	0.673511i	0.159564	−	0.0364193i
$343$			12.5826i			0.679395i
$344$	1.49761	+	6.38413i	0.0807456	+	0.344209i
$345$	−3.43533	−	26.6831i	−0.184952	−	1.43657i
$346$	−0.698972	−	3.06240i	−0.0375770	−	0.164635i
$347$	21.7420	+	4.96248i	1.16717	+	0.266400i	0.761838	−	0.647768i	$-0.224297\pi$
$347$	21.7420	+	4.96248i	1.16717	+	0.266400i	0.405336	+	0.914168i	$0.367155\pi$
$348$	−3.87513	−	8.04680i	−0.207729	−	0.431354i
$349$	16.9277	+	21.2267i	0.906121	+	1.13624i	0.990183	+	0.139779i	$0.0446392\pi$
$349$	16.9277	+	21.2267i	0.906121	+	1.13624i	−0.0840620	+	0.996461i	$0.526789\pi$
$350$	−4.65524	+	1.21889i	−0.248833	+	0.0651523i
$351$	−6.60091			−0.352331
$352$	2.22206	−	1.77203i	0.118436	−	0.0944496i
$353$	−2.76425	+	5.74003i	−0.147126	+	0.305511i	−0.961488	−	0.274847i	$-0.911373\pi$
$353$	−2.76425	+	5.74003i	−0.147126	+	0.305511i	0.814362	+	0.580358i	$0.197087\pi$
$354$	17.8774	−	22.4176i	0.950174	−	1.19148i
$355$	−6.82290	+	20.5367i	−0.362122	+	1.08997i
$356$	−3.82925	−	16.7770i	−0.202950	−	0.889181i
$357$	−18.6059	+	14.8377i	−0.984731	+	0.785297i
$358$	8.87666	−	2.02604i	0.469146	−	0.107080i
$359$	21.4117	−	10.3113i	1.13007	−	0.544212i	0.227079	−	0.973876i	$-0.427082\pi$
$359$	21.4117	−	10.3113i	1.13007	−	0.544212i	0.902989	+	0.429664i	$0.141368\pi$
$360$	8.64583	−	14.2562i	0.455675	−	0.751367i
$361$	−11.7436	+	14.7260i	−0.618083	+	0.775051i
$362$	3.49731	+	0.798239i	0.183815	+	0.0419545i
$363$	−4.10013	−	8.51401i	−0.215201	−	0.446870i
$364$	−0.397200	−	0.191281i	−0.0208189	−	0.0100259i
$365$	1.86310	−	19.2754i	0.0975193	−	1.00892i
$366$	−3.68302	+	16.1364i	−0.192515	+	0.843462i
$367$	14.2552	−	29.6013i	0.744118	−	1.54518i	−0.0914623	−	0.995809i	$-0.529154\pi$
$367$	14.2552	−	29.6013i	0.744118	−	1.54518i	0.835580	−	0.549368i	$-0.185132\pi$
$368$	1.61437	+	3.35227i	0.0841548	+	0.174749i
$369$	−6.43585	+	28.1973i	−0.335037	+	1.46789i
$370$	−9.72262	−	5.89639i	−0.505455	−	0.306539i
$371$	4.45312	−	5.58404i	0.231195	−	0.289909i
$372$	−9.05209	−	18.7969i	−0.469329	−	0.974571i
$373$	−9.33420	+	2.13047i	−0.483306	+	0.110312i	−0.457230	−	0.889348i	$-0.651158\pi$
$373$	−9.33420	+	2.13047i	−0.483306	+	0.110312i	−0.0260762	+	0.999660i	$0.508301\pi$
$374$	13.5503	+	16.9915i	0.700669	+	0.878611i
$375$	20.6672	+	29.6634i	1.06725	+	1.53181i
$376$	2.20986	+	1.06421i	0.113965	+	0.0548825i
$377$	0.989155	+	0.788825i	0.0509441	+	0.0406265i
$378$	6.01754	−	12.4955i	0.309509	−	0.642701i
$379$	−2.09458	−	2.62652i	−0.107591	−	0.134915i	0.725120	−	0.688622i	$-0.241784\pi$
$379$	−2.09458	−	2.62652i	−0.107591	−	0.134915i	−0.832712	+	0.553707i	$0.813213\pi$
$380$	−0.115903	−	0.900244i	−0.00594568	−	0.0461815i
$381$	−11.5015			−0.589242
$382$	−15.5322	+	12.3865i	−0.794698	+	0.633750i
$383$	3.77793	+	7.84495i	0.193043	+	0.400858i	0.974914	−	0.222582i	$-0.0714486\pi$
$383$	3.77793	+	7.84495i	0.193043	+	0.400858i	−0.781871	+	0.623441i	$0.785734\pi$
$384$	−0.719552	+	3.15256i	−0.0367195	+	0.160878i
$385$	2.11133	+	5.74047i	0.107603	+	0.292561i
$386$	19.0364			0.968927
$387$	38.0434	−	30.7149i	1.93386	−	1.56133i
$388$		−	13.5242i		−	0.686588i
$389$	−2.77865	−	12.1741i	−0.140883	−	0.617250i	−0.995231	−	0.0975481i	$-0.968900\pi$
$389$	−2.77865	−	12.1741i	−0.140883	−	0.617250i	0.854347	−	0.519702i	$-0.173957\pi$
$390$	−0.318655	+	3.29675i	−0.0161357	+	0.166937i
$391$	−25.6340	+	12.3447i	−1.29637	+	0.624298i
$392$	−4.74863	+	3.78690i	−0.239842	+	0.191268i
$393$		−	44.7008i		−	2.25486i
$394$	12.9626			0.653047
$395$	−20.2567	+	20.9089i	−1.01923	+	1.05204i
$396$	−19.0933	−	9.19485i	−0.959475	−	0.462059i
$397$	6.62675	+	5.28465i	0.332587	+	0.265229i	0.775517	−	0.631327i	$-0.217489\pi$
$397$	6.62675	+	5.28465i	0.332587	+	0.265229i	−0.442930	+	0.896556i	$0.646061\pi$
$398$	4.79939	−	9.96603i	0.240572	−	0.499552i
$399$	−0.281111	−	1.23163i	−0.0140731	−	0.0616584i
$400$	−4.00595	−	2.99205i	−0.200298	−	0.149602i
$401$	−0.427830	−	1.87445i	−0.0213648	−	0.0936054i	0.963121	−	0.269067i	$-0.0867153\pi$
$401$	−0.427830	−	1.87445i	−0.0213648	−	0.0936054i	−0.984486	+	0.175462i	$0.943858\pi$
$402$	−10.1419	−	21.0599i	−0.505832	−	1.05037i
$403$	2.31061	+	1.84265i	0.115100	+	0.0917889i
$404$	−8.54421	+	10.7141i	−0.425090	+	0.533046i
$405$	−53.9256	−	5.21231i	−2.67959	−	0.259002i
$406$	−2.39498	+	1.15336i	−0.118861	+	0.0572404i
$407$	−6.27082	+	13.0215i	−0.310833	+	0.645451i
$408$	−24.1069	−	5.50223i	−1.19347	−	0.272401i
$409$	0.482115	−	2.11228i	0.0238390	−	0.104446i	−0.961609	−	0.274424i	$-0.911513\pi$
$409$	0.482115	−	2.11228i	0.0238390	−	0.104446i	0.985448	+	0.169979i	$0.0543699\pi$
$410$	8.23106	+	2.73461i	0.406503	+	0.135053i
$411$	50.6495	−	24.3915i	2.49835	−	1.20314i
$412$	−19.0432	−	4.34648i	−0.938189	−	0.214136i
$413$	−6.67219	−	5.32089i	−0.328317	−	0.261824i
$414$	17.2977	−	21.6906i	0.850135	−	1.06604i
$415$	10.5622	−	6.87244i	0.518480	−	0.337355i
$416$	−0.101930	−	0.446582i	−0.00499751	−	0.0218955i
$417$	3.29685	−	2.62915i	0.161448	−	0.128750i
$418$	−1.12476	+	0.256719i	−0.0550138	+	0.0125565i
$419$	−9.03433	−	4.35071i	−0.441356	−	0.212546i	0.199989	−	0.979798i	$-0.435909\pi$
$419$	−9.03433	−	4.35071i	−0.441356	−	0.212546i	−0.641346	+	0.767252i	$0.721623\pi$
$420$	−5.95026	−	3.60860i	−0.290343	−	0.176082i
$421$	18.4805	+	8.89975i	0.900685	+	0.433747i	0.826136	−	0.563470i	$-0.190534\pi$
$421$	18.4805	+	8.89975i	0.900685	+	0.433747i	0.0745489	+	0.997217i	$0.476248\pi$
$422$	0.333396	−	0.265874i	0.0162295	−	0.0129426i
$423$		−	18.2887i		−	0.889229i
$424$	7.42104			0.360398
$425$	22.8795	−	30.6325i	1.10982	−	1.48590i
$426$	−28.1956	+	13.5783i	−1.36608	+	0.657870i
$427$	4.80270	+	1.09618i	0.232419	+	0.0530481i
$428$	−9.77304	+	2.23063i	−0.472398	+	0.107822i
$429$	4.20981			0.203251
$430$	−8.07062	−	12.2419i	−0.389200	−	0.590359i
$431$	7.67867			0.369869			0.184934	−	0.982751i	$-0.440793\pi$
$431$	7.67867			0.369869			0.184934	+	0.982751i	$0.440793\pi$
$432$	14.0491	−	3.20661i	0.675936	−	0.154278i
$433$	−18.8663	−	4.30612i	−0.906659	−	0.206939i	−0.256328	−	0.966590i	$-0.582513\pi$
$433$	−18.8663	−	4.30612i	−0.906659	−	0.206939i	−0.650331	+	0.759651i	$0.725370\pi$
$434$	−5.59454	+	2.69419i	−0.268547	+	0.129325i
$435$	14.3435	+	13.8961i	0.687719	+	0.666267i
$436$	11.5871			0.554922
$437$		−	1.51034i		−	0.0722493i
$438$	21.8948	−	17.4605i	1.04617	−	0.834296i
$439$	−13.9271	−	6.70695i	−0.664705	−	0.320105i	0.0709317	−	0.997481i	$-0.477403\pi$
$439$	−13.9271	−	6.70695i	−0.664705	−	0.320105i	−0.735637	+	0.677376i	$0.763117\pi$
$440$	−3.29549	+	5.43396i	−0.157106	+	0.259054i
$441$	40.8032	+	19.6498i	1.94301	+	0.935703i
$442$	3.41491	−	0.779430i	0.162431	−	0.0370737i
$443$	−13.3448	+	10.6422i	−0.634032	+	0.505624i	−0.886951	−	0.461864i	$-0.847181\pi$
$443$	−13.3448	+	10.6422i	−0.634032	+	0.505624i	0.252919	+	0.967488i	$0.418609\pi$
$444$	−3.65907	−	16.0314i	−0.173652	−	0.760818i
$445$	20.9858	+	32.2530i	0.994822	+	1.52894i
$446$	5.21999	−	6.54566i	0.247174	−	0.309946i
$447$	21.5444	+	17.1811i	1.01901	+	0.812637i
$448$	0.938303	+	0.214161i	0.0443306	+	0.0101182i
$449$	−2.32747	+	1.12085i	−0.109840	+	0.0528963i	−0.487997	−	0.872845i	$-0.662272\pi$
$449$	−2.32747	+	1.12085i	−0.109840	+	0.0528963i	0.378157	+	0.925742i	$0.376558\pi$
$450$	−7.14044	+	36.5918i	−0.336604	+	1.72495i
$451$	2.45312	−	10.7478i	0.115513	−	0.506096i
$452$	8.61581	+	1.96650i	0.405253	+	0.0924965i
$453$	−29.2244	+	60.6850i	−1.37308	+	2.85123i
$454$	−4.78076	+	2.30229i	−0.224372	+	0.108052i
$455$	0.981217	+	0.0948418i	0.0460002	+	0.00444625i
$456$	0.818400	−	1.02624i	0.0383251	−	0.0480581i
$457$	28.0552	+	22.3733i	1.31237	+	1.04658i	0.995165	+	0.0982206i	$0.0313151\pi$
$457$	28.0552	+	22.3733i	1.31237	+	1.04658i	0.317203	+	0.948358i	$0.397256\pi$
$458$	−0.0830075	−	0.172367i	−0.00387868	−	0.00805417i
$459$	24.5201	+	107.430i	1.14450	+	5.01439i
$460$	−5.97546	−	5.78908i	−0.278607	−	0.269917i
$461$	−6.68371	−	29.2833i	−0.311292	−	1.36386i	−0.852394	−	0.522901i	$-0.824850\pi$
$461$	−6.68371	−	29.2833i	−0.311292	−	1.36386i	0.541102	−	0.840957i	$-0.318007\pi$
$462$	−3.83775	+	7.96918i	−0.178548	+	0.370760i
$463$	−13.3303	−	10.6306i	−0.619513	−	0.494045i	0.262711	−	0.964875i	$-0.415383\pi$
$463$	−13.3303	−	10.6306i	−0.619513	−	0.494045i	−0.882224	+	0.470829i	$0.843955\pi$
$464$	−2.48847	−	1.19838i	−0.115524	−	0.0556335i
$465$	33.5056	+	32.4605i	1.55379	+	1.50532i
$466$	−17.5949			−0.815067
$467$			10.7309i			0.496568i	0.968687	+	0.248284i	$0.0798667\pi$
$467$			10.7309i			0.496568i	−0.968687	+	0.248284i	$0.920133\pi$
$468$	−2.67037	+	2.12955i	−0.123438	+	0.0984384i
$469$	−6.26809	+	3.01855i	−0.289434	+	0.139384i
$470$	−5.45909	−	0.527661i	−0.251809	−	0.0243392i
$471$	6.39032	+	27.9978i	0.294450	+	1.29007i
$472$		−	8.86716i		−	0.408144i
$473$	−14.5008	+	11.7075i	−0.666749	+	0.538309i
$474$	−42.0998			−1.93371
$475$	0.938105	+	1.79981i	0.0430432	+	0.0825810i
$476$	−1.63764	+	7.17497i	−0.0750611	+	0.328864i
$477$	−24.0086	−	49.8544i	−1.09928	−	2.28268i
$478$	2.86403	−	2.28399i	0.130998	−	0.104467i
$479$	−3.21785			−0.147027			−0.0735137	−	0.997294i	$-0.523421\pi$
$479$	−3.21785			−0.147027			−0.0735137	+	0.997294i	$0.523421\pi$
$480$	−0.923293	−	7.17144i	−0.0421424	−	0.327330i
$481$	1.45234	+	1.82117i	0.0662208	+	0.0830383i
$482$	4.35863	−	9.05079i	0.198530	−	0.412252i
$483$	−9.05324	−	7.21972i	−0.411937	−	0.328509i
$484$	−2.63295	−	1.26796i	−0.119680	−	0.0576347i
$485$	10.4389	+	28.3822i	0.474006	+	1.28877i
$486$	−21.8942	−	27.4545i	−0.993142	−	1.24536i
$487$	6.00965	−	1.37166i	0.272323	−	0.0621560i	−0.0841785	−	0.996451i	$-0.526827\pi$
$487$	6.00965	−	1.37166i	0.272323	−	0.0621560i	0.356502	+	0.934295i	$0.383969\pi$
$488$	2.22083	+	4.61161i	0.100532	+	0.208758i
$489$	46.6543	−	58.5027i	2.10978	−	2.64558i
$490$	7.04259	−	11.6126i	0.318152	−	0.524604i
$491$	−0.0721222	+	0.315988i	−0.00325483	+	0.0142603i	−0.976529	−	0.215385i	$-0.930899\pi$
$491$	−0.0721222	+	0.315988i	−0.00325483	+	0.0142603i	0.973274	+	0.229645i	$0.0737566\pi$
$492$	5.44215	+	11.3007i	0.245351	+	0.509477i
$493$	9.16374	−	19.0287i	0.412714	−	0.857010i
$494$	−0.0413757	+	0.181279i	−0.00186158	+	0.00815611i
$495$	47.1669	+	4.55902i	2.11999	+	0.204913i
$496$	−5.81292	−	2.79935i	−0.261008	−	0.125695i
$497$	4.04133	+	8.39190i	0.181278	+	0.376428i
$498$	17.7661	+	4.05499i	0.796118	+	0.181709i
$499$	−7.55107	+	9.46874i	−0.338032	+	0.423879i	−0.921573	−	0.388205i	$-0.873095\pi$
$499$	−7.55107	+	9.46874i	−0.338032	+	0.423879i	0.583541	+	0.812084i	$0.301667\pi$
$500$	10.7164	+	3.18712i	0.479254	+	0.142532i
$501$	−72.4418	+	34.8861i	−3.23646	+	1.55860i
$502$	13.1661	−	3.00507i	0.587630	−	0.134123i
$503$	5.57708	−	4.44757i	0.248670	−	0.198307i	−0.491220	−	0.871035i	$-0.663449\pi$
$503$	5.57708	−	4.44757i	0.248670	−	0.198307i	0.739890	+	0.672728i	$0.234878\pi$
$504$	−1.59687	−	6.99636i	−0.0711304	−	0.311643i
$505$	9.66121	−	29.0799i	0.429918	−	1.29404i
$506$	−6.59328	+	8.26771i	−0.293107	+	0.367544i
$507$	−17.9449	+	37.2630i	−0.796961	+	1.65491i
$508$	−2.78085	+	2.21766i	−0.123380	+	0.0983927i
$509$	−31.1760			−1.38185			−0.690926	−	0.722926i	$-0.742797\pi$
$509$	−31.1760			−1.38185			−0.690926	+	0.722926i	$0.742797\pi$
$510$	54.8382	−	7.06019i	2.42828	−	0.312631i
$511$	−5.19680	−	6.51659i	−0.229893	−	0.288277i
$512$	0.433884	+	0.900969i	0.0191751	+	0.0398176i
$513$	−5.70286	−	1.30164i	−0.251787	−	0.0574688i
$514$	−2.86899	−	12.5698i	−0.126546	−	0.554432i
$515$	43.3193	−	5.57719i	1.90888	−	0.245760i
$516$	4.59394	−	20.7007i	0.202237	−	0.911299i
$517$			6.97103i			0.306585i
$518$	−4.77146	+	1.08906i	−0.209646	+	0.0478503i
$519$	−2.26022	+	9.90267i	−0.0992127	+	0.434679i
$520$	0.558614	+	0.858532i	0.0244969	+	0.0376491i
$521$	−10.5068	−	13.1751i	−0.460311	−	0.577212i	0.496458	−	0.868061i	$-0.334634\pi$
$521$	−10.5068	−	13.1751i	−0.460311	−	0.577212i	−0.956769	+	0.290849i	$0.906062\pi$
$522$			20.5945i			0.901397i
$523$		−	24.2995i		−	1.06254i	−0.847202	−	0.531272i	$-0.821714\pi$
$523$		−	24.2995i		−	1.06254i	0.847202	−	0.531272i	$-0.178286\pi$
$524$	−8.61893	−	10.8078i	−0.376520	−	0.472141i
$525$	15.2727	+	2.98028i	0.666556	+	0.130070i
$526$	8.81852	−	11.0581i	0.384506	−	0.482155i
$527$	21.4060	−	44.4499i	0.932458	−	1.93627i
$528$	−8.95996	+	2.04505i	−0.389932	+	0.0889994i
$529$	5.70872	+	7.15851i	0.248205	+	0.311240i
$530$	−15.5740	+	5.72806i	−0.676490	+	0.248811i
$531$	−59.5694	+	28.6871i	−2.58509	+	1.24491i
$532$	−0.305442	−	0.243582i	−0.0132426	−	0.0105606i
$533$	−1.38915	−	1.10781i	−0.0601707	−	0.0479845i
$534$	−12.3824	+	54.2508i	−0.535838	+	2.34766i
$535$	18.7882	−	12.2248i	0.812284	−	0.528522i
$536$	−6.51276	−	3.13638i	−0.281308	−	0.135471i
$537$	−28.7039	−	6.55148i	−1.23866	−	0.282717i
$538$	−13.1825	−	3.00881i	−0.568337	−	0.129719i
$539$	−15.5527	−	7.48981i	−0.669904	−	0.322609i
$540$	−27.0086	+	17.5735i	−1.16227	+	0.756242i
$541$	3.45620	−	15.1426i	0.148594	−	0.651031i	−0.844683	−	0.535267i	$-0.820211\pi$
$541$	3.45620	−	15.1426i	0.148594	−	0.651031i	0.993277	−	0.115764i	$-0.0369317\pi$
$542$	−3.10929	−	2.47958i	−0.133556	−	0.106507i
$543$	−9.06915	−	7.23240i	−0.389194	−	0.310372i
$544$	−6.88949	+	3.31780i	−0.295384	+	0.142250i
$545$	−24.3170	+	8.94371i	−1.04162	+	0.383106i
$546$	0.888832	+	1.11456i	0.0380385	+	0.0476988i
$547$	−19.2081	+	4.38411i	−0.821277	+	0.187451i	−0.612458	−	0.790503i	$-0.709819\pi$
$547$	−19.2081	+	4.38411i	−0.821277	+	0.187451i	−0.208819	+	0.977954i	$0.566962\pi$
$548$	7.54306	−	15.6633i	0.322224	−	0.669104i
$549$	23.7958	−	29.8390i	1.01558	−	1.27350i
$550$	2.72169	−	13.9475i	0.116053	−	0.594724i
$551$	0.699031	+	0.876558i	0.0297797	+	0.0373426i
$552$		−	12.0315i		−	0.512096i
$553$			12.5302i			0.532840i
$554$	−15.4063	−	19.3189i	−0.654553	−	0.820783i
$555$	20.0532	+	30.8196i	0.851209	+	1.30822i
$556$	0.290179	−	1.27136i	0.0123063	−	0.0539176i
$557$	8.77127	−	2.00199i	0.371651	−	0.0848269i	−0.0326161	−	0.999468i	$-0.510384\pi$
$557$	8.77127	−	2.00199i	0.371651	−	0.0848269i	0.404267	+	0.914641i	$0.367527\pi$
$558$			48.1076i			2.03656i
$559$	0.686004	+	2.92436i	0.0290149	+	0.123687i
$560$	−2.13445	+	0.274801i	−0.0901969	+	0.0116125i
$561$	−15.6380	−	68.5146i	−0.660237	−	2.89269i
$562$	10.6680	+	2.43490i	0.450003	+	0.102710i
$563$	−6.26910	−	13.0179i	−0.264211	−	0.548640i	0.726087	−	0.687603i	$-0.241337\pi$
$563$	−6.26910	−	13.0179i	−0.264211	−	0.548640i	−0.990297	+	0.138964i	$0.955623\pi$
$564$	−4.94510	−	6.20096i	−0.208226	−	0.261107i
$565$	−19.5992	+	2.52332i	−0.824545	+	0.106157i
$566$	26.8518			1.12867
$567$	−18.2311	+	14.5388i	−0.765635	+	0.610573i
$568$	−4.19908	+	8.71947i	−0.176189	+	0.365861i
$569$	4.55771	−	5.71518i	0.191069	−	0.239593i	−0.677065	−	0.735924i	$-0.736748\pi$
$569$	4.55771	−	5.71518i	0.191069	−	0.239593i	0.868134	+	0.496331i	$0.165320\pi$
$570$	−0.925391	+	2.78539i	−0.0387603	+	0.116667i
$571$	−5.61196	−	24.5876i	−0.234853	−	1.02896i	−0.945554	−	0.325464i	$-0.894479\pi$
$571$	−5.61196	−	24.5876i	−0.234853	−	1.02896i	0.710701	−	0.703494i	$-0.248378\pi$
$572$	1.01785	−	0.811710i	0.0425585	−	0.0339393i
$573$	62.6302	−	14.2949i	2.61641	−	0.597180i
$574$	3.36346	−	1.61976i	0.140388	−	0.0676074i
$575$	17.0087	+	7.53683i	0.709310	+	0.314307i
$576$	4.64899	−	5.82965i	0.193708	−	0.242902i
$577$	−38.8594	−	8.86940i	−1.61774	−	0.369238i	−0.684645	−	0.728876i	$-0.740043\pi$
$577$	−38.8594	−	8.86940i	−1.61774	−	0.369238i	−0.933092	+	0.359639i	$0.882900\pi$
$578$	−17.9944	−	37.3658i	−0.748468	−	1.55421i
$579$	−55.4607	−	26.7085i	−2.30487	−	1.10997i
$580$	6.14735	+	0.594186i	0.255255	+	0.0246722i
$581$	1.20690	−	5.28775i	0.0500705	−	0.219373i
$582$	−18.9748	+	39.4015i	−0.786530	+	1.63325i
$583$	9.15125	+	19.0028i	0.379006	+	0.787014i
$584$	1.92711	−	8.44324i	0.0797446	−	0.349384i
$585$	3.96037	−	6.53029i	0.163741	−	0.269994i
$586$	−3.03007	+	3.79959i	−0.125171	+	0.156959i
$587$	−15.8640	−	32.9420i	−0.654779	−	1.35966i	−0.918638	−	0.395101i	$-0.870710\pi$
$587$	−15.8640	−	32.9420i	−0.654779	−	1.35966i	0.263859	−	0.964561i	$-0.415005\pi$
$588$	19.1478	−	4.37036i	0.789641	−	0.180230i
$589$	1.63290	+	2.04759i	0.0672823	+	0.0843694i
$590$	6.84427	+	18.6088i	0.281774	+	0.766113i
$591$	−37.7653	−	18.1868i	−1.55346	−	0.748106i
$592$	−3.97578	−	3.17057i	−0.163403	−	0.130310i
$593$	−0.711660	+	1.47778i	−0.0292244	+	0.0606850i	−0.915070	−	0.403295i	$-0.867865\pi$
$593$	−0.711660	+	1.47778i	−0.0292244	+	0.0606850i	0.885846	+	0.463980i	$0.153579\pi$
$594$	25.5356	+	32.0207i	1.04774	+	1.31382i
$595$	−2.10134	−	16.3216i	−0.0861465	−	0.669120i
$596$	8.52177			0.349065
$597$	−27.9651	+	22.3014i	−1.14454	+	0.912737i
$598$	0.739489	+	1.53557i	0.0302400	+	0.0627939i
$599$	3.81934	−	16.7336i	0.156054	−	0.683716i	−0.835000	−	0.550251i	$-0.814532\pi$
$599$	3.81934	−	16.7336i	0.156054	−	0.683716i	0.991053	−	0.133466i	$-0.0426107\pi$
$600$	7.47305	+	14.3375i	0.305086	+	0.585325i
$601$	19.7203			0.804406			0.402203	−	0.915550i	$-0.368245\pi$
$601$	19.7203			0.804406			0.402203	+	0.915550i	$0.368245\pi$
$602$	−6.16120	−	1.36730i	−0.251112	−	0.0557272i
$603$			53.8994i			2.19495i
$604$	4.63502	+	20.3074i	0.188596	+	0.826294i
$605$	6.50428	+	0.628686i	0.264436	+	0.0255597i
$606$	39.9249	−	19.2268i	1.62184	−	0.781035i
$607$	−12.1016	+	9.65074i	−0.491191	+	0.391712i	−0.837524	−	0.546400i	$-0.815998\pi$
$607$	−12.1016	+	9.65074i	−0.491191	+	0.391712i	0.346334	+	0.938111i	$0.387426\pi$
$608$		−	0.405924i		−	0.0164624i
$609$	8.59575			0.348317
$610$	−8.22024	−	7.96384i	−0.332828	−	0.322446i
$611$	1.01226	+	0.487480i	0.0409518	+	0.0197213i
$612$	44.5779	+	35.5497i	1.80195	+	1.43701i
$613$	9.79467	−	20.3388i	0.395603	−	0.821478i	−0.604095	−	0.796912i	$-0.706465\pi$
$613$	9.79467	−	20.3388i	0.395603	−	0.821478i	0.999698	−	0.0245659i	$-0.00782036\pi$
$614$	−3.39764	−	14.8860i	−0.137118	−	0.600752i
$615$	−20.1437	−	19.5154i	−0.812273	−	0.786936i
$616$	0.608672	+	2.66677i	0.0245241	+	0.107447i
$617$	−4.69593	−	9.75119i	−0.189051	−	0.392568i	0.784802	−	0.619746i	$-0.212764\pi$
$617$	−4.69593	−	9.75119i	−0.189051	−	0.392568i	−0.973853	+	0.227178i	$0.927050\pi$
$618$	49.3822	+	39.3810i	1.98645	+	1.58414i
$619$	−8.91029	+	11.1731i	−0.358135	+	0.449087i	−0.927960	−	0.372679i	$-0.878439\pi$
$619$	−8.91029	+	11.1731i	−0.358135	+	0.449087i	0.569826	+	0.821766i	$0.307011\pi$
$620$	14.3599	+	1.38798i	0.576706	+	0.0557428i
$621$	−48.3075	+	23.2637i	−1.93851	+	0.933538i
$622$	4.41086	−	9.15924i	0.176859	−	0.367252i
$623$	16.1468	+	3.68539i	0.646906	+	0.147652i
$624$	−0.329603	+	1.44408i	−0.0131947	+	0.0578096i
$625$	−24.9498	+	1.58312i	−0.997993	+	0.0633247i
$626$	−9.28425	+	4.47106i	−0.371073	+	0.178699i
$627$	3.63706	+	0.830136i	0.145250	+	0.0331524i
$628$	6.94343	+	5.53720i	0.277073	+	0.220958i
$629$	24.2446	−	30.4018i	0.966696	−	1.21220i
$630$	8.75150	+	13.4501i	0.348668	+	0.535867i
$631$	1.58012	+	6.92297i	0.0629037	+	0.275599i	0.996592	−	0.0824875i	$-0.0262864\pi$
$631$	1.58012	+	6.92297i	0.0629037	+	0.275599i	−0.933688	+	0.358086i	$0.883429\pi$
$632$	−10.1789	+	8.11743i	−0.404896	+	0.322894i
$633$	−1.34434	+	0.306838i	−0.0534329	+	0.0121957i
$634$	13.5657	+	6.53291i	0.538764	+	0.259455i
$635$	4.12423	−	6.80048i	0.163665	−	0.269869i
$636$	−21.6205	−	10.4119i	−0.857309	−	0.412858i
$637$	−2.17519	+	1.73466i	−0.0861842	+	0.0687296i
$638$		−	7.84991i		−	0.310781i
$639$	72.1621			2.85469
$640$	−1.60599	−	1.55589i	−0.0634822	−	0.0615021i
$641$	−25.3709	+	12.2180i	−1.00209	+	0.482581i	−0.861647	−	0.507508i	$-0.830567\pi$
$641$	−25.3709	+	12.2180i	−1.00209	+	0.482581i	−0.140443	+	0.990089i	$0.544853\pi$
$642$	31.6025	+	7.21306i	1.24725	+	0.284677i
$643$	22.6838	−	5.17742i	0.894560	−	0.204178i	0.249559	−	0.968359i	$-0.419714\pi$
$643$	22.6838	−	5.17742i	0.894560	−	0.204178i	0.645001	+	0.764182i	$0.276857\pi$
$644$	−3.58096			−0.141110
$645$	6.33728	+	46.9890i	0.249530	+	1.85019i
$646$	3.10400			0.122125
$647$	30.1833	−	6.88915i	1.18663	−	0.270840i	0.416745	−	0.909023i	$-0.363171\pi$
$647$	30.1833	−	6.88915i	1.18663	−	0.270840i	0.769885	+	0.638183i	$0.220314\pi$
$648$	−23.6212	−	5.39139i	−0.927929	−	0.211794i
$649$	22.7058	−	10.9345i	0.891280	−	0.429218i
$650$	−1.83499	−	1.37056i	−0.0719744	−	0.0537578i
$651$	20.0792			0.786965
$652$		−	23.1404i		−	0.906250i
$653$	24.2765	−	19.3599i	0.950015	−	0.757611i	−0.0202156	−	0.999796i	$-0.506435\pi$
$653$	24.2765	−	19.3599i	0.950015	−	0.757611i	0.970230	+	0.242184i	$0.0778638\pi$
$654$	−33.7579	−	16.2570i	−1.32004	−	0.635697i
$655$	26.4301	+	16.0288i	1.03271	+	0.626298i
$656$	3.49475	+	1.68298i	0.136447	+	0.0657094i
$657$	−62.9562	+	14.3693i	−2.45615	+	0.560601i
$658$	−1.84560	+	1.47182i	−0.0719491	+	0.0573775i
$659$	0.737773	+	3.23239i	0.0287396	+	0.125916i	0.987263	−	0.159098i	$-0.0508587\pi$
$659$	0.737773	+	3.23239i	0.0287396	+	0.125916i	−0.958523	+	0.285015i	$0.908002\pi$
$660$	17.2251	−	11.2077i	0.670485	−	0.436259i
$661$	−25.7398	+	32.2767i	−1.00116	+	1.25542i	−0.0344897	+	0.999405i	$0.510981\pi$
$661$	−25.7398	+	32.2767i	−1.00116	+	1.25542i	−0.966673	+	0.256014i	$0.917591\pi$
$662$	1.98033	+	1.57926i	0.0769677	+	0.0613797i
$663$	−11.0426	−	2.52039i	−0.428857	−	0.0978839i
$664$	5.07736	−	2.44513i	0.197040	−	0.0948894i
$665$	0.829020	+	0.275426i	0.0321480	+	0.0106805i
$666$	−8.43740	+	36.9667i	−0.326943	+	1.43243i
$667$	10.0190	+	2.28677i	0.387937	+	0.0885441i
$668$	−10.7885	+	22.4026i	−0.417420	+	0.866782i
$669$	−24.3916	+	11.7464i	−0.943035	+	0.454142i
$670$	16.0887	+	1.55509i	0.621560	+	0.0600783i
$671$	−9.07014	+	11.3736i	−0.350149	+	0.439073i
$672$	−2.43318	−	1.94040i	−0.0938620	−	0.0748525i
$673$	10.0606	+	20.8910i	0.387807	+	0.805289i	0.999895	+	0.0144993i	$0.00461542\pi$
$673$	10.0606	+	20.8910i	0.387807	+	0.805289i	−0.612088	+	0.790789i	$0.709670\pi$
$674$	−5.20800	−	22.8177i	−0.200605	−	0.878906i
$675$	43.1165	−	57.7272i	1.65956	−	2.22192i
$676$	2.84608	+	12.4695i	0.109465	+	0.479596i
$677$	−13.6676	+	28.3810i	−0.525287	+	1.09077i	0.454504	+	0.890745i	$0.349817\pi$
$677$	−13.6676	+	28.3810i	−0.525287	+	1.09077i	−0.979791	+	0.200025i	$0.935898\pi$
$678$	−22.3423	−	17.8174i	−0.858050	−	0.684272i
$679$	11.7271	+	5.64750i	0.450047	+	0.216731i
$680$	11.8975	−	12.2806i	0.456250	−	0.470939i
$681$	17.1585			0.657514
$682$		−	18.3369i		−	0.702157i
$683$	−17.8350	+	14.2229i	−0.682438	+	0.544226i	−0.902195	−	0.431329i	$-0.858045\pi$
$683$	−17.8350	+	14.2229i	−0.682438	+	0.544226i	0.219757	+	0.975555i	$0.429474\pi$
$684$	−2.72699	+	1.31325i	−0.104269	+	0.0502134i
$685$	−3.74002	+	38.6937i	−0.142899	+	1.47841i
$686$	−2.79989	−	12.2671i	−0.106900	−	0.468360i
$687$			0.618635i			0.0236024i
$688$	−2.88066	−	5.89082i	−0.109824	−	0.224585i
$689$	3.39933			0.129504
$690$	9.28674	+	25.2496i	0.353540	+	0.961237i
$691$	7.58641	−	33.2382i	0.288601	−	1.26444i	−0.597846	−	0.801611i	$-0.703977\pi$
$691$	7.58641	−	33.2382i	0.288601	−	1.26444i	0.886447	−	0.462831i	$-0.153166\pi$
$692$	1.36289	+	2.83008i	0.0518095	+	0.107583i
$693$	15.9461	−	12.7166i	0.605743	−	0.483064i
$694$	−22.3012			−0.846541
$695$	0.372344	+	2.89208i	0.0141238	+	0.109703i
$696$	5.56856	+	6.98275i	0.211076	+	0.264680i
$697$	−12.8694	+	26.7235i	−0.487461	+	1.01222i
$698$	−21.2267	−	16.9277i	−0.803443	−	0.640724i
$699$	51.2610	+	24.6860i	1.93887	+	0.933710i
$700$	4.26729	−	2.22422i	0.161288	−	0.0840675i
$701$	−6.22919	−	7.81116i	−0.235273	−	0.295023i	0.650153	−	0.759803i	$-0.274705\pi$
$701$	−6.22919	−	7.81116i	−0.235273	−	0.295023i	−0.885426	+	0.464780i	$0.846133\pi$
$702$	6.43541	−	1.46884i	0.242889	−	0.0554378i
$703$	0.895627	+	1.85979i	0.0337792	+	0.0701432i
$704$	−1.77203	+	2.22206i	−0.0667860	+	0.0837470i
$705$	15.1642	+	9.19651i	0.571117	+	0.346361i
$706$	1.41767	−	6.21122i	0.0533547	−	0.233762i
$707$	−5.72251	−	11.8829i	−0.215217	−	0.446903i
$708$	−12.4408	+	25.8336i	−0.467555	+	0.970887i
$709$	−2.25445	+	9.87738i	−0.0846676	+	0.370953i	−0.999456	−	0.0329804i	$-0.989500\pi$
$709$	−2.25445	+	9.87738i	−0.0846676	+	0.370953i	0.914788	+	0.403933i	$0.132357\pi$
$710$	2.08200	−	21.5400i	0.0781360	−	0.808382i
$711$	87.4637	+	42.1203i	3.28015	+	1.57964i
$712$	7.46648	+	15.5043i	0.279818	+	0.581048i
$713$	23.4038	+	5.34176i	0.876479	+	0.200051i
$714$	14.8377	−	18.6059i	0.555289	−	0.696310i
$715$	−1.50955	+	2.48912i	−0.0564542	+	0.0930878i
$716$	−8.20327	+	3.95049i	−0.306571	+	0.147637i
$717$	−11.5486	+	2.63589i	−0.431289	+	0.0984389i
$718$	−18.5804	+	14.8174i	−0.693414	+	0.552980i
$719$	2.96807	+	13.0040i	0.110690	+	0.484967i	0.999637	+	0.0269549i	$0.00858105\pi$
$719$	2.96807	+	13.0040i	0.110690	+	0.484967i	−0.888946	+	0.458012i	$0.848562\pi$
$720$	−5.25676	+	15.8226i	−0.195908	+	0.589675i
$721$	11.7210	−	14.6977i	0.436515	−	0.547372i
$722$	8.17230	−	16.9700i	0.304141	−	0.631556i
$723$	−25.3969	+	20.2534i	−0.944522	+	0.753231i
$724$	−3.58725			−0.133319
$725$	−13.3596	+	3.49797i	−0.496163	+	0.129911i
$726$	5.89188	+	7.38818i	0.218668	+	0.274201i
$727$	1.03084	+	2.14056i	0.0382317	+	0.0793890i	0.919210	−	0.393768i	$-0.128829\pi$
$727$	1.03084	+	2.14056i	0.0382317	+	0.0793890i	−0.880978	+	0.473157i	$0.843114\pi$
$728$	0.429805	+	0.0981003i	0.0159297	+	0.00363584i
$729$	9.09332	+	39.8404i	0.336790	+	1.47557i
$730$	2.47278	+	19.2067i	0.0915216	+	0.710870i
$731$	45.0457	−	22.0277i	1.66607	−	0.814725i
$732$		−	16.5514i		−	0.611756i
$733$	13.4219	−	3.06347i	0.495750	−	0.113152i	0.0326663	−	0.999466i	$-0.489600\pi$
$733$	13.4219	−	3.06347i	0.495750	−	0.113152i	0.463084	+	0.886315i	$0.346743\pi$
$734$	−7.31093	+	32.0313i	−0.269851	+	1.18230i
$735$	−36.8107	+	23.9513i	−1.35778	+	0.883457i
$736$	−2.31984	−	2.90899i	−0.0855106	−	0.107227i
$737$		−	20.5446i		−	0.756769i
$738$		−	28.9225i		−	1.06465i
$739$	4.74791	+	5.95369i	0.174655	+	0.219010i	0.861452	−	0.507839i	$-0.169555\pi$
$739$	4.74791	+	5.95369i	0.174655	+	0.219010i	−0.686797	+	0.726849i	$0.740984\pi$
$740$	10.7909	+	3.58507i	0.396682	+	0.131790i
$741$	0.374882	−	0.470087i	0.0137716	−	0.0172691i
$742$	−3.09891	+	6.43495i	−0.113764	+	0.236234i
$743$	−7.91278	+	1.80604i	−0.290292	+	0.0662572i	−0.365187	−	0.930934i	$-0.618995\pi$
$743$	−7.91278	+	1.80604i	−0.290292	+	0.0662572i	0.0748951	+	0.997191i	$0.476138\pi$
$744$	13.0078	+	16.3113i	0.476890	+	0.598001i
$745$	−17.8840	+	6.57768i	−0.655219	+	0.240988i
$746$	8.62609	−	4.15411i	0.315824	−	0.152093i
$747$	−32.8527	−	26.1991i	−1.20202	−	0.958576i
$748$	−16.9915	−	13.5503i	−0.621272	−	0.495448i
$749$	2.14684	−	9.40590i	0.0784436	−	0.343684i
$750$	−26.7498	−	24.3208i	−0.976763	−	0.888069i
$751$	−35.4644	−	17.0788i	−1.29412	−	0.623213i	−0.345137	−	0.938552i	$-0.612167\pi$
$751$	−35.4644	−	17.0788i	−1.29412	−	0.623213i	−0.948979	+	0.315339i	$0.897882\pi$
$752$	−2.39126	−	0.545790i	−0.0872003	−	0.0199029i
$753$	−42.5743	−	9.71730i	−1.55149	−	0.354118i
$754$	−1.13989	−	0.548940i	−0.0415122	−	0.0199912i
$755$	−25.4018	−	39.0399i	−0.924465	−	1.42081i
$756$	−3.08614	+	13.5213i	−0.112242	+	0.491764i
$757$	−24.1388	−	19.2500i	−0.877338	−	0.699654i	0.0774324	−	0.996998i	$-0.475328\pi$
$757$	−24.1388	−	19.2500i	−0.877338	−	0.699654i	−0.954770	+	0.297344i	$0.903899\pi$
$758$	2.62652	+	2.09458i	0.0953996	+	0.0760786i
$759$	30.8087	−	14.8367i	1.11828	−	0.538537i
$760$	0.313320	+	0.851882i	0.0113653	+	0.0309010i
$761$	5.89212	+	7.38849i	0.213589	+	0.267833i	0.877072	−	0.480359i	$-0.159494\pi$
$761$	5.89212	+	7.38849i	0.213589	+	0.267833i	−0.663482	+	0.748192i	$0.730922\pi$
$762$	11.2132	−	2.55933i	0.406211	−	0.0927149i
$763$	−4.83859	+	10.0474i	−0.175169	+	0.363741i
$764$	12.3865	−	15.5322i	0.448129	−	0.561936i
$765$	−120.992	−	40.1971i	−4.37447	−	1.45333i
$766$	−5.42887	−	6.80759i	−0.196153	−	0.245968i
$767$		−	4.06175i		−	0.146661i
$768$		−	3.23364i		−	0.116684i
$769$	19.9623	+	25.0320i	0.719860	+	0.902676i	0.998330	−	0.0577692i	$-0.0183987\pi$
$769$	19.9623	+	25.0320i	0.719860	+	0.902676i	−0.278470	+	0.960445i	$0.589827\pi$
$770$	−3.33577	−	5.12673i	−0.120213	−	0.184754i
$771$	−9.27726	+	40.6463i	−0.334112	+	1.46384i
$772$	−18.5591	+	4.23600i	−0.667957	+	0.152457i
$773$		−	7.52046i		−	0.270492i	−0.990812	−	0.135246i	$-0.956817\pi$
$773$		−	7.52046i		−	0.270492i	0.990812	−	0.135246i	$-0.0431825\pi$
$774$	−30.2549	+	38.4103i	−1.08749	+	1.38063i
$775$	−31.2073	+	8.17105i	−1.12100	+	0.293513i
$776$	3.00942	+	13.1851i	0.108032	+	0.473319i
$777$	15.4292	+	3.52161i	0.553518	+	0.126337i
$778$	5.41798	+	11.2505i	0.194244	+	0.403351i
$779$	−0.981704	−	1.23102i	−0.0351732	−	0.0441058i
$780$	−0.422930	−	3.28500i	−0.0151433	−	0.117622i
$781$	−27.5057			−0.984231
$782$	22.2444	−	17.7393i	0.795457	−	0.634355i
$783$	17.2691	−	35.8597i	0.617149	−	1.28152i
$784$	3.78690	−	4.74863i	0.135247	−	0.169594i
$785$	−18.8456	−	6.26108i	−0.672629	−	0.223468i
$786$	9.94686	+	43.5801i	0.354793	+	1.55445i
$787$	−26.3878	+	21.0436i	−0.940625	+	0.750123i	−0.968377	−	0.249491i	$-0.919737\pi$
$787$	−26.3878	+	21.0436i	−0.940625	+	0.750123i	0.0277520	+	0.999615i	$0.491165\pi$
$788$	−12.6376	+	2.88445i	−0.450196	+	0.102754i
$789$	−41.2066	+	19.8441i	−1.46699	+	0.706468i
$790$	15.0962	−	24.8922i	0.537098	−	0.885626i
$791$	−5.30302	+	6.64978i	−0.188554	+	0.236439i
$792$	20.6606	+	4.71566i	0.734144	+	0.167564i
$793$	1.01729	+	2.11242i	0.0361250	+	0.0750144i
$794$	−7.63655	−	3.67757i	−0.271011	−	0.130512i
$795$	53.4099	+	5.16245i	1.89425	+	0.183093i
$796$	−2.46141	+	10.7841i	−0.0872423	+	0.382233i
$797$	12.9007	−	26.7886i	0.456966	−	0.948900i	−0.537442	−	0.843300i	$-0.680609\pi$
$797$	12.9007	−	26.7886i	0.456966	−	0.948900i	0.994409	−	0.105600i	$-0.0336763\pi$
$798$	0.548125	+	1.13819i	0.0194034	+	0.0402916i
$799$	4.17352	−	18.2854i	0.147649	−	0.646891i
$800$	4.57131	+	2.02562i	0.161620	+	0.0716166i
$801$	80.0020	−	100.319i	2.82673	−	3.54461i
$802$	0.834207	+	1.73225i	0.0294569	+	0.0611678i
$803$	23.9967	−	5.47709i	0.846825	−	0.193282i
$804$	14.5739	+	18.2751i	0.513981	+	0.644512i
$805$	7.51509	−	2.76403i	0.264872	−	0.0974193i
$806$	−2.66271	−	1.28229i	−0.0937898	−	0.0451668i
$807$	34.1845	+	27.2612i	1.20335	+	0.959640i
$808$	5.94588	−	12.3467i	0.209175	−	0.434357i
$809$	−5.90324	−	7.40243i	−0.207547	−	0.260256i	0.667153	−	0.744921i	$-0.267513\pi$
$809$	−5.90324	−	7.40243i	−0.207547	−	0.260256i	−0.874700	+	0.484665i	$0.838941\pi$
$810$	53.7335	−	6.91796i	1.88800	−	0.243072i
$811$	−38.1838			−1.34082			−0.670408	−	0.741993i	$-0.733881\pi$
$811$	−38.1838			−1.34082			−0.670408	+	0.741993i	$0.733881\pi$
$812$	2.07829	−	1.65738i	0.0729336	−	0.0581626i
$813$	5.57973	+	11.5864i	0.195690	+	0.406354i
$814$	3.21604	−	14.0904i	0.112722	−	0.493868i
$815$	17.8614	+	48.5631i	0.625656	+	1.70109i
$816$	24.7268			0.865612
$817$	0.0160159	+	2.66178i	0.000560325	+	0.0931237i
$818$			2.16660i			0.0757535i
$819$	−0.731475	−	3.20480i	−0.0255598	−	0.111985i
$820$	−8.63320	−	0.834462i	−0.301484	−	0.0291407i
$821$	−4.34383	+	2.09188i	−0.151601	+	0.0730070i	−0.508146	−	0.861271i	$-0.669669\pi$
$821$	−4.34383	+	2.09188i	−0.151601	+	0.0730070i	0.356545	+	0.934278i	$0.383955\pi$
$822$	−43.9520	+	35.0505i	−1.53300	+	1.22253i
$823$			43.2174i			1.50646i	0.657756	+	0.753231i	$0.271506\pi$
$823$			43.2174i			1.50646i	−0.657756	+	0.753231i	$0.728494\pi$
$824$	19.5329			0.680461
$825$	−27.4981	+	36.8162i	−0.957360	+	1.28178i
$826$	7.68891	+	3.70278i	0.267531	+	0.128836i
$827$	−29.1528	−	23.2486i	−1.01374	−	0.808433i	−0.0321624	−	0.999483i	$-0.510239\pi$
$827$	−29.1528	−	23.2486i	−1.01374	−	0.808433i	−0.981580	+	0.191050i	$0.938811\pi$
$828$	−12.0374	+	24.9959i	−0.418328	+	0.868667i
$829$	3.58724	+	15.7167i	0.124590	+	0.545865i	0.998240	+	0.0593091i	$0.0188898\pi$
$829$	3.58724	+	15.7167i	0.124590	+	0.545865i	−0.873650	+	0.486556i	$0.838253\pi$
$830$	−8.76815	+	9.05046i	−0.304347	+	0.314146i
$831$	17.7800	+	77.8993i	0.616782	+	2.70230i
$832$	0.198748	+	0.412704i	0.00689034	+	0.0143079i
$833$	36.3116	+	28.9575i	1.25812	+	1.00332i
$834$	−2.62915	+	3.29685i	−0.0910401	+	0.114161i
$835$	5.34920	−	55.3419i	0.185117	−	1.91519i
$836$	1.03943	−	0.500565i	0.0359496	−	0.0173124i
$837$	40.3397	−	83.7662i	1.39434	−	2.89538i
$838$	9.77595	+	2.23130i	0.337704	+	0.0770788i
$839$	7.34391	−	32.1758i	0.253540	−	1.11083i	−0.674478	−	0.738295i	$-0.735631\pi$
$839$	7.34391	−	32.1758i	0.253540	−	1.11083i	0.928018	−	0.372536i	$-0.121512\pi$
$840$	6.60406	+	2.19407i	0.227862	+	0.0757026i
$841$	19.2550	−	9.27271i	0.663965	−	0.319748i
$842$	−19.9976	−	4.56431i	−0.689161	−	0.157297i
$843$	−27.6640	−	22.0613i	−0.952799	−	0.759832i
$844$	−0.265874	+	0.333396i	−0.00915177	+	0.0114760i
$845$	−15.5977	−	23.9720i	−0.536576	−	0.824661i
$846$	4.06963	+	17.8302i	0.139917	+	0.613015i
$847$	2.19896	−	1.75361i	0.0755571	−	0.0602548i
$848$	−7.23498	+	1.65134i	−0.248450	+	0.0567071i
$849$	−78.2303	−	37.6737i	−2.68486	−	1.29296i
$850$	−15.4895	+	34.9557i	−0.531284	+	1.19897i
$851$	17.0470	+	8.20940i	0.584364	+	0.281415i
$852$	24.4672	−	19.5119i	0.838233	−	0.668468i
$853$			31.9899i			1.09531i	0.836703	+	0.547657i	$0.184480\pi$
$853$			31.9899i			1.09531i	−0.836703	+	0.547657i	$0.815520\pi$
$854$	−4.92621			−0.168571
$855$	4.70927	−	4.86090i	0.161054	−	0.166239i
$856$	9.03165	−	4.34941i	0.308695	−	0.148660i
$857$	−11.3957	−	2.60099i	−0.389269	−	0.0888480i	0.0234072	−	0.999726i	$-0.492549\pi$
$857$	−11.3957	−	2.60099i	−0.389269	−	0.0888480i	−0.412676	+	0.910878i	$0.635406\pi$
$858$	−4.10426	+	0.936771i	−0.140117	+	0.0319808i
$859$	−5.59682			−0.190961			−0.0954806	−	0.995431i	$-0.530439\pi$
$859$	−5.59682			−0.190961			−0.0954806	+	0.995431i	$0.530439\pi$
$860$	10.5924	+	10.1391i	0.361197	+	0.345741i
$861$	−12.0717			−0.411402
$862$	−7.48615	+	1.70867i	−0.254979	+	0.0581974i
$863$	33.0261	+	7.53798i	1.12422	+	0.256596i	0.743921	−	0.668268i	$-0.232964\pi$
$863$	33.0261	+	7.53798i	1.12422	+	0.256596i	0.380299	+	0.924864i	$0.375821\pi$
$864$	−12.9833	+	6.25242i	−0.441700	+	0.212712i
$865$	−5.04465	−	4.88730i	−0.171523	−	0.166173i
$866$	19.3515			0.657592
$867$			134.108i			4.55455i
$868$	4.85476	−	3.87154i	0.164781	−	0.131409i
$869$	−33.3381	−	16.0548i	−1.13092	−	0.544622i
$870$	−17.0761	−	10.3560i	−0.578933	−	0.351100i
$871$	−2.98328	−	1.43667i	−0.101085	−	0.0486798i
$872$	−11.2966	+	2.57837i	−0.382551	+	0.0873147i
$873$	78.8414	−	62.8739i	2.66838	−	2.12796i
$874$	0.336082	+	1.47247i	0.0113681	+	0.0498071i
$875$	−7.23864	+	7.96158i	−0.244711	+	0.269150i
$876$	−17.4605	+	21.8948i	−0.589936	+	0.739756i
$877$	26.9138	+	21.4631i	0.908815	+	0.724756i	0.961775	−	0.273841i	$-0.0882941\pi$
$877$	26.9138	+	21.4631i	0.908815	+	0.724756i	−0.0529598	+	0.998597i	$0.516866\pi$
$878$	15.0704	+	3.43972i	0.508601	+	0.116085i
$879$	14.1587	−	6.81848i	0.477562	−	0.229982i
$880$	2.00369	−	6.03104i	0.0675445	−	0.203306i
$881$	−4.30966	+	18.8819i	−0.145196	+	0.636146i	0.848984	+	0.528418i	$0.177215\pi$
$881$	−4.30966	+	18.8819i	−0.145196	+	0.636146i	−0.994180	+	0.107728i	$0.965642\pi$
$882$	−44.1526	−	10.0775i	−1.48670	−	0.339329i
$883$	10.2920	−	21.3715i	0.346353	−	0.719209i	−0.652916	−	0.757430i	$-0.726455\pi$
$883$	10.2920	−	21.3715i	0.346353	−	0.719209i	0.999269	+	0.0382208i	$0.0121690\pi$
$884$	−3.15585	+	1.51978i	−0.106143	+	0.0511156i
$885$	6.16845	−	63.8177i	0.207350	−	2.14521i
$886$	10.6422	−	13.3448i	0.357530	−	0.448328i
$887$	−33.5474	−	26.7532i	−1.12641	−	0.898284i	−0.130759	−	0.991414i	$-0.541741\pi$
$887$	−33.5474	−	26.7532i	−1.12641	−	0.898284i	−0.995654	+	0.0931303i	$0.970313\pi$
$888$	7.13466	+	14.8153i	0.239423	+	0.497168i
$889$	−0.761739	−	3.33740i	−0.0255479	−	0.111933i
$890$	−27.6366	−	26.7746i	−0.926381	−	0.897486i
$891$	−15.3230	−	67.1343i	−0.513339	−	2.24908i
$892$	−3.63256	+	7.54310i	−0.121627	+	0.252562i
$893$	0.778418	+	0.620767i	0.0260488	+	0.0207732i
$894$	−24.8274	−	11.9562i	−0.830351	−	0.399876i
$895$	14.1663	−	14.6224i	0.473528	−	0.488774i
$896$	−0.962433			−0.0321526
$897$		−	5.51124i		−	0.184015i
$898$	2.01971	−	1.61066i	0.0673984	−	0.0537485i
$899$	−16.0552	+	7.73179i	−0.535472	+	0.257870i
$900$	−1.18103	−	37.2633i	−0.0393676	−	1.24211i
$901$	−12.6274	−	55.3241i	−0.420679	−	1.84311i
$902$			11.0242i			0.367067i
$903$	16.0317	+	12.6278i	0.533502	+	0.420227i
$904$	−8.83738			−0.293927
$905$	7.52830	−	2.76889i	0.250249	−	0.0920409i
$906$	14.9880	−	65.6666i	0.497942	−	2.18163i
$907$	6.03688	+	12.5357i	0.200451	+	0.416241i	0.976827	−	0.214028i	$-0.0686585\pi$
$907$	6.03688	+	12.5357i	0.200451	+	0.416241i	−0.776376	+	0.630270i	$0.782944\pi$
$908$	4.14859	−	3.30839i	0.137676	−	0.109793i
$909$	−102.181			−3.38914
$910$	−0.977720	+	0.125877i	−0.0324111	+	0.00417280i
$911$	21.4877	+	26.9447i	0.711918	+	0.892717i	0.997850	−	0.0655328i	$-0.0208747\pi$
$911$	21.4877	+	26.9447i	0.711918	+	0.892717i	−0.285932	+	0.958250i	$0.592303\pi$
$912$	−0.569521	+	1.18262i	−0.0188587	+	0.0391605i
$913$	12.5223	+	9.98619i	0.414427	+	0.330495i
$914$	−32.3303	−	15.5695i	−1.06939	−	0.514992i
$915$	12.7755	+	34.7351i	0.422344	+	1.14831i
$916$	0.119282	+	0.149574i	0.00394117	+	0.00494207i
$917$	12.9708	−	2.96050i	0.428334	−	0.0977644i
$918$	−47.8107	−	99.2800i	−1.57799	−	3.27673i
$919$	30.2662	−	37.9526i	0.998390	−	1.25194i	0.0307713	−	0.999526i	$-0.490204\pi$
$919$	30.2662	−	37.9526i	0.998390	−	1.25194i	0.967619	−	0.252415i	$-0.0812249\pi$
$920$	7.11384	+	4.31427i	0.234536	+	0.142237i
$921$	−10.9867	+	48.1360i	−0.362025	+	1.58614i
$922$	13.0323	+	27.0618i	0.429195	+	0.891233i
$923$	−1.92346	+	3.99410i	−0.0633114	+	0.131467i
$924$	1.96822	−	8.62336i	0.0647498	−	0.283688i
$925$	−25.4133	+	0.805452i	−0.835583	+	0.0264831i
$926$	15.3616	+	7.39778i	0.504815	+	0.243106i
$927$	−63.1930	−	131.222i	−2.07553	−	4.30988i
$928$	2.69274	+	0.614601i	0.0883936	+	0.0201753i
$929$	20.2294	−	25.3668i	0.663705	−	0.832259i	−0.330036	−	0.943968i	$-0.607061\pi$
$929$	20.2294	−	25.3668i	0.663705	−	0.832259i	0.993741	+	0.111709i	$0.0356325\pi$
$930$	−39.8887	−	24.1909i	−1.30800	−	0.793252i
$931$	−2.22131	+	1.06973i	−0.0728006	+	0.0350589i
$932$	17.1537	−	3.91523i	0.561889	−	0.128248i
$933$	−25.7012	+	20.4960i	−0.841420	+	0.671010i
$934$	−2.38786	−	10.4619i	−0.0781331	−	0.342323i
$935$	46.1179	+	15.3218i	1.50822	+	0.501075i
$936$	2.12955	−	2.67037i	0.0696065	−	0.0872837i
$937$	15.1101	−	31.3765i	0.493627	−	1.02503i	−0.494183	−	0.869358i	$-0.664533\pi$
$937$	15.1101	−	31.3765i	0.493627	−	1.02503i	0.987809	−	0.155668i	$-0.0497531\pi$
$938$	5.43924	−	4.33765i	0.177598	−	0.141629i
$939$	33.3218			1.08742
$940$	5.43963	−	0.700330i	0.177421	−	0.0228423i
$941$	16.8725	+	21.1575i	0.550029	+	0.689715i	0.976680	−	0.214702i	$-0.0688780\pi$
$941$	16.8725	+	21.1575i	0.550029	+	0.689715i	−0.426650	+	0.904417i	$0.640307\pi$
$942$	−12.4602	−	25.8739i	−0.405975	−	0.843016i
$943$	−14.0705	−	3.21149i	−0.458197	−	0.104580i
$944$	1.97313	+	8.64484i	0.0642199	+	0.281366i
$945$	−3.95999	−	30.7582i	−0.128818	−	1.00056i
$946$	11.5321	−	14.6407i	0.374941	−	0.476009i
$947$		−	36.5744i		−	1.18851i	−0.804277	−	0.594254i	$-0.797447\pi$
$947$		−	36.5744i		−	1.18851i	0.804277	−	0.594254i	$-0.202553\pi$
$948$	41.0443	−	9.36809i	1.33306	−	0.304261i
$949$	0.882748	−	3.86757i	0.0286552	−	0.125547i
$950$	−1.31508	−	1.54594i	−0.0426669	−	0.0501569i
$951$	−30.3567	−	38.0661i	−0.984382	−	1.23438i
$952$		−	7.35949i		−	0.238522i
$953$		−	7.91560i		−	0.256412i	−0.991748	−	0.128206i	$-0.959078\pi$
$953$		−	7.91560i		−	0.256412i	0.991748	−	0.128206i	$-0.0409218\pi$
$954$	34.5003	+	43.2620i	1.11699	+	1.40066i
$955$	−14.0058	+	42.1570i	−0.453219	+	1.36417i
$956$	−2.28399	+	2.86403i	−0.0738695	+	0.0926294i
$957$	−11.0136	+	22.8700i	−0.356019	+	0.739281i
$958$	3.13717	−	0.716039i	0.101357	−	0.0231342i
$959$	10.4322	+	13.0815i	0.336872	+	0.422424i
$960$	2.49594	+	6.78618i	0.0805561	+	0.219023i
$961$	−9.57403	+	4.61061i	−0.308840	+	0.148729i
$962$	−1.82117	−	1.45234i	−0.0587169	−	0.0468252i
$963$	−58.4386	−	46.6032i	−1.88316	−	1.50177i
$964$	−2.23536	+	9.79376i	−0.0719961	+	0.315436i
$965$	35.6790	−	23.2149i	1.14855	−	0.747315i
$966$	10.4328	+	5.02417i	0.335670	+	0.161650i
$967$	−6.85865	−	1.56544i	−0.220559	−	0.0503412i	0.110813	−	0.993841i	$-0.464655\pi$
$967$	−6.85865	−	1.56544i	−0.220559	−	0.0503412i	−0.331372	+	0.943500i	$0.607512\pi$
$968$	2.84909	+	0.650286i	0.0915732	+	0.0209010i
$969$	−9.04322	−	4.35498i	−0.290510	−	0.139902i
$970$	−16.4928	−	25.3478i	−0.529553	−	0.813868i
$971$	1.03763	−	4.54616i	0.0332992	−	0.145893i	−0.955545	−	0.294844i	$-0.904732\pi$
$971$	1.03763	−	4.54616i	0.0332992	−	0.145893i	0.988845	+	0.148951i	$0.0475895\pi$
$972$	27.4545	+	21.8942i	0.880603	+	0.702257i
$973$	0.981248	+	0.782520i	0.0314574	+	0.0250864i
$974$	−5.55375	+	2.67454i	−0.177954	+	0.0856979i
$975$	3.42316	+	6.56753i	0.109629	+	0.210329i
$976$	−3.19133	−	4.00180i	−0.102152	−	0.128095i
$977$	12.4213	−	2.83509i	0.397394	−	0.0907026i	−0.0191534	−	0.999817i	$-0.506097\pi$
$977$	12.4213	−	2.83509i	0.397394	−	0.0907026i	0.416548	+	0.909114i	$0.363240\pi$
$978$	−32.4665	+	67.4175i	−1.03817	+	2.15577i
$979$	−30.4940	+	38.2383i	−0.974592	+	1.22210i
$980$	−4.28197	+	12.8886i	−0.136783	+	0.411710i
$981$	53.8683	+	67.5487i	1.71988	+	2.15666i
$982$		−	0.324114i		−	0.0103429i
$983$		−	28.6971i		−	0.915297i	−0.889133	−	0.457648i	$-0.848692\pi$
$983$		−	28.6971i		−	0.915297i	0.889133	−	0.457648i	$-0.151308\pi$
$984$	−7.82036	−	9.80642i	−0.249304	−	0.312617i
$985$	24.2952	−	15.8080i	0.774109	−	0.503683i
$986$	−4.69970	+	20.5907i	−0.149669	+	0.655743i
$987$	7.44198	−	1.69858i	0.236881	−	0.0540665i
$988$		−	0.185941i		−	0.00591556i
$989$	15.3267	+	18.9837i	0.487362	+	0.603646i
$990$	−46.9988	+	6.05090i	−1.49372	+	0.192310i
$991$	−7.09927	−	31.1039i	−0.225516	−	0.988049i	−0.953248	−	0.302188i	$-0.902283\pi$
$991$	−7.09927	−	31.1039i	−0.225516	−	0.988049i	0.727733	−	0.685861i	$-0.240574\pi$
$992$	6.29009	+	1.43567i	0.199711	+	0.0455826i
$993$	−3.55376	−	7.37947i	−0.112775	−	0.234180i
$994$	−5.80738	−	7.28222i	−0.184199	−	0.230978i
$995$	−3.15836	−	24.5317i	−0.100127	−	0.777707i
$996$	−18.2230			−0.577417
$997$	2.93799	−	2.34297i	0.0930471	−	0.0742026i	−0.575861	−	0.817547i	$-0.695333\pi$
$997$	2.93799	−	2.34297i	0.0930471	−	0.0742026i	0.668908	+	0.743345i	$0.266762\pi$
$998$	5.25475	−	10.9116i	0.166336	−	0.345401i
$999$	45.6891	−	57.2924i	1.44554	−	1.81265i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.p.a.59.11	✓	132
5.4	even	2	inner	430.2.p.a.59.12	yes	132
43.35	even	7	inner	430.2.p.a.379.12	yes	132
215.164	even	14	inner	430.2.p.a.379.11	yes	132

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.p.a.59.11	✓	132	1.1	even	1	trivial
430.2.p.a.59.12	yes	132	5.4	even	2	inner
430.2.p.a.379.11	yes	132	215.164	even	14	inner
430.2.p.a.379.12	yes	132	43.35	even	7	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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.p (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.974928 + 0.222521i) q^{2} +(3.15256 + 0.719552i) q^{3} +(0.900969 - 0.433884i) q^{4} +(-1.55589 + 1.60599i) q^{5} -3.23364 q^{6} +0.962433i q^{7} +(-0.781831 + 0.623490i) q^{8} +(6.71798 + 3.23521i) q^{9} +O(q^{10})\)	\(q+(-0.974928 + 0.222521i) q^{2} +(3.15256 + 0.719552i) q^{3} +(0.900969 - 0.433884i) q^{4} +(-1.55589 + 1.60599i) q^{5} -3.23364 q^{6} +0.962433i q^{7} +(-0.781831 + 0.623490i) q^{8} +(6.71798 + 3.23521i) q^{9} +(1.15952 - 1.91194i) q^{10} +(-2.56066 - 1.23315i) q^{11} +(3.15256 - 0.719552i) q^{12} +(-0.358131 + 0.285600i) q^{13} +(-0.214161 - 0.938303i) q^{14} +(-6.06064 + 3.94343i) q^{15} +(0.623490 - 0.781831i) q^{16} +(5.97847 + 4.76767i) q^{17} +(-7.26945 - 1.65920i) q^{18} +(-0.365725 + 0.176124i) q^{19} +(-0.705000 + 2.12202i) q^{20} +(-0.692520 + 3.03413i) q^{21} +(2.77086 + 0.632431i) q^{22} +(-1.61437 + 3.35227i) q^{23} +(-2.91340 + 1.40302i) q^{24} +(-0.158391 - 4.99749i) q^{25} +(0.285600 - 0.358131i) q^{26} +(11.2665 + 8.98472i) q^{27} +(0.417584 + 0.867122i) q^{28} +(-0.614601 - 2.69274i) q^{29} +(5.03119 - 5.19318i) q^{30} +(-1.43567 - 6.29009i) q^{31} +(-0.433884 + 0.900969i) q^{32} +(-7.18533 - 5.73011i) q^{33} +(-6.88949 - 3.31780i) q^{34} +(-1.54565 - 1.49744i) q^{35} +7.45640 q^{36} -5.08521i q^{37} +(0.317364 - 0.253090i) q^{38} +(-1.33453 + 0.642678i) q^{39} +(0.215130 - 2.22570i) q^{40} +(0.863132 + 3.78163i) q^{41} -3.11216i q^{42} +(2.80957 - 5.92506i) q^{43} -2.84212 q^{44} +(-15.6482 + 5.75535i) q^{45} +(0.827943 - 3.62746i) q^{46} +(-1.06421 - 2.20986i) q^{47} +(2.52816 - 2.01614i) q^{48} +6.07372 q^{49} +(1.26647 + 4.83695i) q^{50} +(15.4169 + 19.3322i) q^{51} +(-0.198748 + 0.412704i) q^{52} +(-5.80200 - 4.62694i) q^{53} +(-12.9833 - 6.25242i) q^{54} +(5.96454 - 2.19374i) q^{55} +(-0.600067 - 0.752460i) q^{56} +(-1.27970 + 0.292083i) q^{57} +(1.19838 + 2.48847i) q^{58} +(-5.52858 + 6.93262i) q^{59} +(-3.74946 + 6.18252i) q^{60} +(1.13897 - 4.99017i) q^{61} +(2.79935 + 5.81292i) q^{62} +(-3.11367 + 6.46561i) q^{63} +(0.222521 - 0.974928i) q^{64} +(0.0985438 - 1.01952i) q^{65} +(8.28024 + 3.98756i) q^{66} +(3.13638 + 6.51276i) q^{67} +(7.45503 + 1.70156i) q^{68} +(-7.50153 + 9.40662i) q^{69} +(1.84011 + 1.11596i) q^{70} +(8.71947 - 4.19908i) q^{71} +(-7.26945 + 1.65920i) q^{72} +(-6.77095 + 5.39965i) q^{73} +(1.13157 + 4.95771i) q^{74} +(3.09661 - 15.8689i) q^{75} +(-0.253090 + 0.317364i) q^{76} +(1.18682 - 2.46446i) q^{77} +(1.15807 - 0.923527i) q^{78} +13.0193 q^{79} +(0.285528 + 2.21776i) q^{80} +(15.1063 + 18.9427i) q^{81} +(-1.68298 - 3.49475i) q^{82} +(-5.49415 - 1.25400i) q^{83} +(0.692520 + 3.03413i) q^{84} +(-16.9587 + 2.18336i) q^{85} +(-1.42067 + 6.40169i) q^{86} -8.93127i q^{87} +(2.77086 - 0.632431i) q^{88} +(3.82925 - 16.7770i) q^{89} +(13.9752 - 9.09310i) q^{90} +(-0.274871 - 0.344677i) q^{91} +3.72074i q^{92} -20.8629i q^{93} +(1.52927 + 1.91764i) q^{94} +(0.286177 - 0.861380i) q^{95} +(-2.01614 + 2.52816i) q^{96} +(5.86794 - 12.1849i) q^{97} +(-5.92144 + 1.35153i) q^{98} +(-13.2130 - 16.5686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9}+O(q^{10}) \) 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9	\( 132 q + 22 q^{4} - 4 q^{5} - 4 q^{6} + 12 q^{9} + 8 q^{11} - 10 q^{14} - 20 q^{15} - 22 q^{16} - 4 q^{19} + 4 q^{20} - 24 q^{21} + 4 q^{24} - 16 q^{25} + 12 q^{26} + 40 q^{29} + 24 q^{31} - 4 q^{35} + 128 q^{36} - 56 q^{39} - 28 q^{41} - 8 q^{44} - 80 q^{45} - 12 q^{46} - 136 q^{49} - 56 q^{50} + 172 q^{51} + 16 q^{54} - 4 q^{56} + 16 q^{59} - 8 q^{60} - 44 q^{61} + 22 q^{64} + 42 q^{65} + 8 q^{66} - 62 q^{69} + 12 q^{70} - 8 q^{71} - 4 q^{74} - 122 q^{75} - 52 q^{76} - 64 q^{79} - 4 q^{80} - 56 q^{81} + 24 q^{84} - 72 q^{85} - 10 q^{86} + 16 q^{89} + 2 q^{90} - 24 q^{91} - 20 q^{94} + 106 q^{95} - 4 q^{96} - 104 q^{99}+O(q^{100}) \) 132 * q + 22 * q^4 - 4 * q^5 - 4 * q^6 + 12 * q^9 + 8 * q^11 - 10 * q^14 - 20 * q^15 - 22 * q^16 - 4 * q^19 + 4 * q^20 - 24 * q^21 + 4 * q^24 - 16 * q^25 + 12 * q^26 + 40 * q^29 + 24 * q^31 - 4 * q^35 + 128 * q^36 - 56 * q^39 - 28 * q^41 - 8 * q^44 - 80 * q^45 - 12 * q^46 - 136 * q^49 - 56 * q^50 + 172 * q^51 + 16 * q^54 - 4 * q^56 + 16 * q^59 - 8 * q^60 - 44 * q^61 + 22 * q^64 + 42 * q^65 + 8 * q^66 - 62 * q^69 + 12 * q^70 - 8 * q^71 - 4 * q^74 - 122 * q^75 - 52 * q^76 - 64 * q^79 - 4 * q^80 - 56 * q^81 + 24 * q^84 - 72 * q^85 - 10 * q^86 + 16 * q^89 + 2 * q^90 - 24 * q^91 - 20 * q^94 + 106 * q^95 - 4 * q^96 - 104 * q^99

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