LMFDB - Embedded newform 95.2.e.c.26.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(11,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("95.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.e (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$4$ over $\Q(\zeta_{3})$
Coefficient field:	8.0.4601315889.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + 6x^{6} - 3x^{5} + 26x^{4} - 14x^{3} + 31x^{2} + 12x + 9 $ x^8 - x^7 + 6x^6 - 3x^5 + 26x^4 - 14x^3 + 31x^2 + 12x + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			26.1
Root			$-0.245959 - 0.426014i$ of defining polynomial
Character	$\chi$	$=$	95.26
Dual form			95.2.e.c.11.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37901 - 2.38851i) q^{2} +(-0.745959 - 1.29204i) q^{3} +(-2.80333 + 4.85550i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.05737 + 3.56347i) q^{6} -2.84864 q^{7} +9.94721 q^{8} +(0.387090 - 0.670459i) q^{9} +O(q^{10})$	\(q+(-1.37901 - 2.38851i) q^{2} +(-0.745959 - 1.29204i) q^{3} +(-2.80333 + 4.85550i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.05737 + 3.56347i) q^{6} -2.84864 q^{7} +9.94721 q^{8} +(0.387090 - 0.670459i) q^{9} +(-1.37901 + 2.38851i) q^{10} -0.864801 q^{11} +8.36467 q^{12} +(-0.321640 + 0.557098i) q^{13} +(3.92829 + 6.80401i) q^{14} +(-0.745959 + 1.29204i) q^{15} +(-8.11063 - 14.0480i) q^{16} +(-1.87093 - 3.24054i) q^{17} -2.13520 q^{18} +(-3.36069 - 2.77592i) q^{19} +5.60665 q^{20} +(2.12497 + 3.68055i) q^{21} +(1.19257 + 2.06559i) q^{22} +(-0.208730 + 0.361531i) q^{23} +(-7.42021 - 12.8522i) q^{24} +(-0.500000 + 0.866025i) q^{25} +1.77418 q^{26} -5.63077 q^{27} +(7.98566 - 13.8316i) q^{28} +(4.85261 - 8.40497i) q^{29} +4.11474 q^{30} +4.93349 q^{31} +(-12.4220 + 21.5156i) q^{32} +(0.645106 + 1.11736i) q^{33} +(-5.16005 + 8.93746i) q^{34} +(1.42432 + 2.46699i) q^{35} +(2.17028 + 3.75903i) q^{36} +6.36467 q^{37} +(-1.99589 + 11.8551i) q^{38} +0.959723 q^{39} +(-4.97360 - 8.61454i) q^{40} +(2.00686 + 3.47598i) q^{41} +(5.86069 - 10.1510i) q^{42} +(1.02915 + 1.78254i) q^{43} +(2.42432 - 4.19904i) q^{44} -0.774179 q^{45} +1.15136 q^{46} +(1.97698 - 3.42423i) q^{47} +(-12.1004 + 20.9585i) q^{48} +1.11474 q^{49} +2.75802 q^{50} +(-2.79127 + 4.83462i) q^{51} +(-1.80333 - 3.12345i) q^{52} +(5.49374 - 9.51544i) q^{53} +(7.76487 + 13.4492i) q^{54} +(0.432400 + 0.748939i) q^{55} -28.3360 q^{56} +(-1.07966 + 6.41287i) q^{57} -26.7672 q^{58} +(-1.22980 - 2.13007i) q^{59} +(-4.18233 - 7.24402i) q^{60} +(-3.16740 + 5.48609i) q^{61} +(-6.80333 - 11.7837i) q^{62} +(-1.10268 + 1.90989i) q^{63} +36.0778 q^{64} +0.643281 q^{65} +(1.77921 - 3.08169i) q^{66} +(1.26610 - 2.19295i) q^{67} +20.9793 q^{68} +0.622817 q^{69} +(3.92829 - 6.80401i) q^{70} +(0.891065 + 1.54337i) q^{71} +(3.85046 - 6.66920i) q^{72} +(3.56545 + 6.17554i) q^{73} +(-8.77693 - 15.2021i) q^{74} +1.49192 q^{75} +(22.8996 - 8.53606i) q^{76} +2.46350 q^{77} +(-1.32347 - 2.29231i) q^{78} +(-0.912262 - 1.58008i) q^{79} +(-8.11063 + 14.0480i) q^{80} +(3.03905 + 5.26380i) q^{81} +(5.53495 - 9.58681i) q^{82} -7.43913 q^{83} -23.8279 q^{84} +(-1.87093 + 3.24054i) q^{85} +(2.83841 - 4.91626i) q^{86} -14.4794 q^{87} -8.60235 q^{88} +(-2.22294 + 3.85024i) q^{89} +(1.06760 + 1.84914i) q^{90} +(0.916237 - 1.58697i) q^{91} +(-1.17028 - 2.02698i) q^{92} +(-3.68018 - 6.37427i) q^{93} -10.9051 q^{94} +(-0.723670 + 4.29841i) q^{95} +37.0653 q^{96} +(5.42707 + 9.39996i) q^{97} +(-1.53723 - 2.66256i) q^{98} +(-0.334755 + 0.579813i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - q^{2} - 3 q^{3} - 5 q^{4} - 4 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{8} - q^{9}+O(q^{10}) $ 8 * q - q^2 - 3 * q^3 - 5 * q^4 - 4 * q^5 - 2 * q^6 - 8 * q^7 + 24 * q^8 - q^9	\( 8 q - q^{2} - 3 q^{3} - 5 q^{4} - 4 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{8} - q^{9} - q^{10} - 4 q^{11} + 12 q^{12} - 7 q^{13} + q^{14} - 3 q^{15} - 7 q^{16} + q^{17} - 20 q^{18} + 5 q^{19} + 10 q^{20} + 4 q^{21} - 2 q^{22} - 2 q^{23} - 23 q^{24} - 4 q^{25} + 6 q^{26} + 24 q^{27} + 19 q^{28} + q^{29} + 4 q^{30} - 30 q^{32} - 19 q^{33} - 15 q^{34} + 4 q^{35} + 7 q^{36} - 4 q^{37} + 13 q^{38} + 30 q^{39} - 12 q^{40} + 8 q^{41} + 15 q^{42} - q^{43} + 12 q^{44} + 2 q^{45} + 24 q^{46} + 12 q^{47} - 23 q^{48} - 20 q^{49} + 2 q^{50} - 22 q^{51} + 3 q^{52} + 5 q^{53} + 34 q^{54} + 2 q^{55} - 82 q^{56} + 7 q^{57} - 54 q^{58} + 5 q^{59} - 6 q^{60} - 37 q^{62} + 3 q^{63} + 112 q^{64} + 14 q^{65} + 31 q^{66} - 4 q^{67} + 32 q^{68} - 18 q^{69} + q^{70} - 20 q^{71} - 17 q^{72} + 20 q^{73} - 25 q^{74} + 6 q^{75} + 63 q^{76} + 28 q^{77} + 18 q^{78} - 17 q^{79} - 7 q^{80} - 12 q^{81} - 21 q^{82} + 2 q^{83} - 40 q^{84} + q^{85} - 8 q^{86} - 32 q^{87} - 14 q^{88} - 11 q^{89} + 10 q^{90} - 6 q^{91} + q^{92} + 8 q^{93} - 62 q^{94} - 4 q^{95} + 42 q^{96} - q^{97} - 9 q^{98} - 38 q^{99}+O(q^{100}) \) 8 * q - q^2 - 3 * q^3 - 5 * q^4 - 4 * q^5 - 2 * q^6 - 8 * q^7 + 24 * q^8 - q^9 - q^10 - 4 * q^11 + 12 * q^12 - 7 * q^13 + q^14 - 3 * q^15 - 7 * q^16 + q^17 - 20 * q^18 + 5 * q^19 + 10 * q^20 + 4 * q^21 - 2 * q^22 - 2 * q^23 - 23 * q^24 - 4 * q^25 + 6 * q^26 + 24 * q^27 + 19 * q^28 + q^29 + 4 * q^30 - 30 * q^32 - 19 * q^33 - 15 * q^34 + 4 * q^35 + 7 * q^36 - 4 * q^37 + 13 * q^38 + 30 * q^39 - 12 * q^40 + 8 * q^41 + 15 * q^42 - q^43 + 12 * q^44 + 2 * q^45 + 24 * q^46 + 12 * q^47 - 23 * q^48 - 20 * q^49 + 2 * q^50 - 22 * q^51 + 3 * q^52 + 5 * q^53 + 34 * q^54 + 2 * q^55 - 82 * q^56 + 7 * q^57 - 54 * q^58 + 5 * q^59 - 6 * q^60 - 37 * q^62 + 3 * q^63 + 112 * q^64 + 14 * q^65 + 31 * q^66 - 4 * q^67 + 32 * q^68 - 18 * q^69 + q^70 - 20 * q^71 - 17 * q^72 + 20 * q^73 - 25 * q^74 + 6 * q^75 + 63 * q^76 + 28 * q^77 + 18 * q^78 - 17 * q^79 - 7 * q^80 - 12 * q^81 - 21 * q^82 + 2 * q^83 - 40 * q^84 + q^85 - 8 * q^86 - 32 * q^87 - 14 * q^88 - 11 * q^89 + 10 * q^90 - 6 * q^91 + q^92 + 8 * q^93 - 62 * q^94 - 4 * q^95 + 42 * q^96 - q^97 - 9 * q^98 - 38 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.37901	−	2.38851i	−0.975106	−	1.68893i	−0.679585	−	0.733597i	$-0.737840\pi$
$2$	−1.37901	−	2.38851i	−0.975106	−	1.68893i	−0.295521	−	0.955336i	$-0.595493\pi$
$3$	−0.745959	−	1.29204i	−0.430680	−	0.745959i	0.566252	−	0.824232i	$-0.308393\pi$
$3$	−0.745959	−	1.29204i	−0.430680	−	0.745959i	−0.996932	+	0.0782728i	$0.975059\pi$
$4$	−2.80333	+	4.85550i	−1.40166	+	2.42775i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−2.05737	+	3.56347i	−0.839917	+	1.45478i
$7$	−2.84864			−1.07668			−0.538342	−	0.842727i	$-0.680949\pi$
$7$	−2.84864			−1.07668			−0.538342	+	0.842727i	$0.680949\pi$
$8$	9.94721			3.51687
$9$	0.387090	−	0.670459i	0.129030	−	0.223486i
$10$	−1.37901	+	2.38851i	−0.436081	+	0.755314i
$11$	−0.864801			−0.260747			−0.130374	−	0.991465i	$-0.541618\pi$
$11$	−0.864801			−0.260747			−0.130374	+	0.991465i	$0.541618\pi$
$12$	8.36467			2.41467
$13$	−0.321640	+	0.557098i	−0.0892070	+	0.154511i	−0.907176	−	0.420751i	$-0.861767\pi$
$13$	−0.321640	+	0.557098i	−0.0892070	+	0.154511i	0.817969	+	0.575262i	$0.195100\pi$
$14$	3.92829	+	6.80401i	1.04988	+	1.81845i
$15$	−0.745959	+	1.29204i	−0.192606	+	0.333603i
$16$	−8.11063	−	14.0480i	−2.02766	−	3.51201i
$17$	−1.87093	−	3.24054i	−0.453766	−	0.785946i	0.544850	−	0.838534i	$-0.316587\pi$
$17$	−1.87093	−	3.24054i	−0.453766	−	0.785946i	−0.998616	+	0.0525872i	$0.983253\pi$
$18$	−2.13520			−0.503271
$19$	−3.36069	−	2.77592i	−0.770996	−	0.636840i
$19$	−3.36069	−	2.77592i	−0.770996	−	0.636840i
$20$	5.60665			1.25369
$21$	2.12497	+	3.68055i	0.463706	+	0.803162i
$22$	1.19257	+	2.06559i	0.254256	+	0.440385i
$23$	−0.208730	+	0.361531i	−0.0435233	+	0.0753845i	−0.886966	−	0.461834i	$-0.847192\pi$
$23$	−0.208730	+	0.361531i	−0.0435233	+	0.0753845i	0.843443	+	0.537218i	$0.180525\pi$
$24$	−7.42021	−	12.8522i	−1.51464	−	2.62344i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	1.77418			0.347945
$27$	−5.63077			−1.08364
$28$	7.98566	−	13.8316i	1.50915	−	2.61392i
$29$	4.85261	−	8.40497i	0.901108	−	1.56076i	0.0750490	−	0.997180i	$-0.476089\pi$
$29$	4.85261	−	8.40497i	0.901108	−	1.56076i	0.826059	−	0.563584i	$-0.190578\pi$
$30$	4.11474			0.751244
$31$	4.93349			0.886081			0.443041	−	0.896501i	$-0.353900\pi$
$31$	4.93349			0.886081			0.443041	+	0.896501i	$0.353900\pi$
$32$	−12.4220	+	21.5156i	−2.19593	+	3.80346i
$33$	0.645106	+	1.11736i	0.112299	+	0.194507i
$34$	−5.16005	+	8.93746i	−0.884941	+	1.53276i
$35$	1.42432	+	2.46699i	0.240754	+	0.416998i
$36$	2.17028	+	3.75903i	0.361713	+	0.626505i
$37$	6.36467			1.04635			0.523173	−	0.852227i	$-0.324748\pi$
$37$	6.36467			1.04635			0.523173	+	0.852227i	$0.324748\pi$
$38$	−1.99589	+	11.8551i	−0.323777	+	1.92315i
$39$	0.959723			0.153679
$40$	−4.97360	−	8.61454i	−0.786396	−	1.36208i
$41$	2.00686	+	3.47598i	0.313419	+	0.542857i	0.979100	−	0.203379i	$-0.0651924\pi$
$41$	2.00686	+	3.47598i	0.313419	+	0.542857i	−0.665681	+	0.746236i	$0.731859\pi$
$42$	5.86069	−	10.1510i	0.904325	−	1.56634i
$43$	1.02915	+	1.78254i	0.156944	+	0.271834i	0.933765	−	0.357887i	$-0.116503\pi$
$43$	1.02915	+	1.78254i	0.156944	+	0.271834i	−0.776821	+	0.629721i	$0.783169\pi$
$44$	2.42432	−	4.19904i	0.365480	−	0.633030i
$45$	−0.774179			−0.115408
$46$	1.15136			0.169759
$47$	1.97698	−	3.42423i	0.288372	−	0.499475i	−0.685049	−	0.728497i	$-0.740219\pi$
$47$	1.97698	−	3.42423i	0.288372	−	0.499475i	0.973421	+	0.229022i	$0.0735527\pi$
$48$	−12.1004	+	20.9585i	−1.74654	+	3.02510i
$49$	1.11474			0.159248
$50$	2.75802			0.390042
$51$	−2.79127	+	4.83462i	−0.390856	+	0.676982i
$52$	−1.80333	−	3.12345i	−0.250076	−	0.433145i
$53$	5.49374	−	9.51544i	0.754624	−	1.30705i	−0.190937	−	0.981602i	$-0.561153\pi$
$53$	5.49374	−	9.51544i	0.754624	−	1.30705i	0.945561	−	0.325444i	$-0.105514\pi$
$54$	7.76487	+	13.4492i	1.05667	+	1.83020i
$55$	0.432400	+	0.748939i	0.0583048	+	0.100987i
$56$	−28.3360			−3.78656
$57$	−1.07966	+	6.41287i	−0.143004	+	0.849406i
$58$	−26.7672			−3.51470
$59$	−1.22980	−	2.13007i	−0.160106	−	0.277311i	0.774801	−	0.632206i	$-0.217850\pi$
$59$	−1.22980	−	2.13007i	−0.160106	−	0.277311i	−0.934906	+	0.354894i	$0.884517\pi$
$60$	−4.18233	−	7.24402i	−0.539937	−	0.935199i
$61$	−3.16740	+	5.48609i	−0.405543	+	0.702422i	−0.994385	−	0.105827i	$-0.966251\pi$
$61$	−3.16740	+	5.48609i	−0.405543	+	0.702422i	0.588841	+	0.808249i	$0.299584\pi$
$62$	−6.80333	−	11.7837i	−0.864023	−	1.49653i
$63$	−1.10268	+	1.90989i	−0.138924	+	0.240624i
$64$	36.0778			4.50973
$65$	0.643281			0.0797892
$66$	1.77921	−	3.08169i	0.219006	−	0.379329i
$67$	1.26610	−	2.19295i	0.154678	−	0.267911i	−0.778263	−	0.627938i	$-0.783899\pi$
$67$	1.26610	−	2.19295i	0.154678	−	0.267911i	0.932942	+	0.360027i	$0.117233\pi$
$68$	20.9793			2.54411
$69$	0.622817			0.0749783
$70$	3.92829	−	6.80401i	0.469521	−	0.813234i
$71$	0.891065	+	1.54337i	0.105750	+	0.183164i	0.914044	−	0.405614i	$-0.132942\pi$
$71$	0.891065	+	1.54337i	0.105750	+	0.183164i	−0.808294	+	0.588779i	$0.799609\pi$
$72$	3.85046	−	6.66920i	0.453781	−	0.785972i
$73$	3.56545	+	6.17554i	0.417304	+	0.722792i	0.995667	−	0.0929873i	$-0.0296416\pi$
$73$	3.56545	+	6.17554i	0.417304	+	0.722792i	−0.578363	+	0.815780i	$0.696308\pi$
$74$	−8.77693	−	15.2021i	−1.02030	−	1.76721i
$75$	1.49192			0.172272
$76$	22.8996	−	8.53606i	2.62677	−	0.979153i
$77$	2.46350			0.280742
$78$	−1.32347	−	2.29231i	−0.149853	−	0.259553i
$79$	−0.912262	−	1.58008i	−0.102637	−	0.177773i	0.810133	−	0.586246i	$-0.199395\pi$
$79$	−0.912262	−	1.58008i	−0.102637	−	0.177773i	−0.912771	+	0.408473i	$0.866061\pi$
$80$	−8.11063	+	14.0480i	−0.906796	+	1.57062i
$81$	3.03905	+	5.26380i	0.337673	+	0.584866i
$82$	5.53495	−	9.58681i	0.611233	−	1.05869i
$83$	−7.43913			−0.816550			−0.408275	−	0.912859i	$-0.633870\pi$
$83$	−7.43913			−0.816550			−0.408275	+	0.912859i	$0.633870\pi$
$84$	−23.8279			−2.59984
$85$	−1.87093	+	3.24054i	−0.202930	+	0.351486i
$86$	2.83841	−	4.91626i	0.306073	−	0.530134i
$87$	−14.4794			−1.55236
$88$	−8.60235			−0.917014
$89$	−2.22294	+	3.85024i	−0.235631	+	0.408125i	−0.959456	−	0.281859i	$-0.909049\pi$
$89$	−2.22294	+	3.85024i	−0.235631	+	0.408125i	0.723825	+	0.689984i	$0.242382\pi$
$90$	1.06760	+	1.84914i	0.112535	+	0.194916i
$91$	0.916237	−	1.58697i	0.0960478	−	0.166360i
$92$	−1.17028	−	2.02698i	−0.122010	−	0.211327i
$93$	−3.68018	−	6.37427i	−0.381617	−	0.660981i
$94$	−10.9051			−1.12477
$95$	−0.723670	+	4.29841i	−0.0742470	+	0.441007i
$96$	37.0653			3.78296
$97$	5.42707	+	9.39996i	0.551036	+	0.954422i	0.998200	+	0.0599699i	$0.0191005\pi$
$97$	5.42707	+	9.39996i	0.551036	+	0.954422i	−0.447165	+	0.894452i	$0.647566\pi$
$98$	−1.53723	−	2.66256i	−0.155284	−	0.268959i
$99$	−0.334755	+	0.579813i	−0.0336442	+	0.0582734i
$100$	−2.80333	−	4.85550i	−0.280333	−	0.485550i
$101$	2.64799	−	4.58645i	0.263485	−	0.456369i	−0.703681	−	0.710516i	$-0.748461\pi$
$101$	2.64799	−	4.58645i	0.263485	−	0.456369i	0.967166	+	0.254147i	$0.0817948\pi$
$102$	15.3967			1.52450
$103$	−0.385134			−0.0379484			−0.0189742	−	0.999820i	$-0.506040\pi$
$103$	−0.385134			−0.0379484			−0.0189742	+	0.999820i	$0.506040\pi$
$104$	−3.19943	+	5.54157i	−0.313729	+	0.543395i
$105$	2.12497	−	3.68055i	0.207376	−	0.359185i
$106$	−30.3037			−2.94335
$107$	−6.43336			−0.621937			−0.310968	−	0.950420i	$-0.600653\pi$
$107$	−6.43336			−0.621937			−0.310968	+	0.950420i	$0.600653\pi$
$108$	15.7849	−	27.3402i	1.51890	−	2.63081i
$109$	−3.28441	−	5.68877i	−0.314590	−	0.544885i	0.664761	−	0.747056i	$-0.268534\pi$
$109$	−3.28441	−	5.68877i	−0.314590	−	0.544885i	−0.979350	+	0.202171i	$0.935200\pi$
$110$	1.19257	−	2.06559i	0.113707	−	0.196946i
$111$	−4.74778	−	8.22340i	−0.450640	−	0.780531i
$112$	23.1042	+	40.0177i	2.18315	+	3.78132i
$113$	0.294513			0.0277054			0.0138527	−	0.999904i	$-0.495590\pi$
$113$	0.294513			0.0277054			0.0138527	+	0.999904i	$0.495590\pi$
$114$	16.8061	−	6.26463i	1.57403	−	0.586736i
$115$	0.417460			0.0389284
$116$	27.2069	+	47.1238i	2.52610	+	4.37533i
$117$	0.249007	+	0.431294i	0.0230207	+	0.0398731i
$118$	−3.39180	+	5.87477i	−0.312240	+	0.540816i
$119$	5.32959	+	9.23112i	0.488563	+	0.846216i
$120$	−7.42021	+	12.8522i	−0.677370	+	1.17324i
$121$	−10.2521			−0.932011
$122$	17.4715			1.58179
$123$	2.99407	−	5.18588i	0.269966	−	0.467595i
$124$	−13.8302	+	23.9546i	−1.24199	+	2.15119i
$125$	1.00000			0.0894427
$126$	6.08241			0.541864
$127$	−4.41746	+	7.65127i	−0.391986	+	0.678940i	−0.992711	−	0.120516i	$-0.961545\pi$
$127$	−4.41746	+	7.65127i	−0.391986	+	0.678940i	0.600725	+	0.799456i	$0.294879\pi$
$128$	−24.9076	−	43.1412i	−2.20154	−	3.81318i
$129$	1.53540	−	2.65940i	0.135185	−	0.234147i
$130$	−0.887090	−	1.53648i	−0.0778029	−	0.134759i
$131$	−10.4564	−	18.1110i	−0.913578	−	1.58236i	−0.808969	−	0.587851i	$-0.799974\pi$
$131$	−10.4564	−	18.1110i	−0.913578	−	1.58236i	−0.104609	−	0.994513i	$-0.533359\pi$
$132$	−7.23377			−0.629619
$133$	9.57340	+	7.90759i	0.830119	+	0.685675i
$134$	−6.98384			−0.603312
$135$	2.81538	+	4.87639i	0.242310	+	0.419693i
$136$	−18.6105	−	32.2343i	−1.59584	−	2.76407i
$137$	−2.60739	+	4.51613i	−0.222764	+	0.385839i	−0.955646	−	0.294517i	$-0.904841\pi$
$137$	−2.60739	+	4.51613i	−0.222764	+	0.385839i	0.732882	+	0.680356i	$0.238175\pi$
$138$	−0.858870	−	1.48761i	−0.0731118	−	0.126633i
$139$	5.36192	−	9.28711i	0.454792	−	0.787723i	−0.543884	−	0.839160i	$-0.683047\pi$
$139$	5.36192	−	9.28711i	0.454792	−	0.787723i	0.998676	+	0.0514375i	$0.0163803\pi$
$140$	−15.9713			−1.34982
$141$	−5.89898			−0.496784
$142$	2.45757	−	4.25664i	0.206235	−	0.357209i
$143$	0.278155	−	0.481778i	0.0232605	−	0.0402883i
$144$	−12.5582			−1.04651
$145$	−9.70523			−0.805975
$146$	9.83357	−	17.0322i	0.813832	−	1.40960i
$147$	−0.831547	−	1.44028i	−0.0685848	−	0.118792i
$148$	−17.8423	+	30.9037i	−1.46662	+	2.54027i
$149$	7.45578	+	12.9138i	0.610801	+	1.05794i	0.991106	+	0.133078i	$0.0424860\pi$
$149$	7.45578	+	12.9138i	0.610801	+	1.05794i	−0.380304	+	0.924861i	$0.624181\pi$
$150$	−2.05737	−	3.56347i	−0.167983	−	0.290956i
$151$	21.4589			1.74630			0.873152	−	0.487448i	$-0.162072\pi$
$151$	21.4589			1.74630			0.873152	+	0.487448i	$0.162072\pi$
$152$	−33.4295	−	27.6127i	−2.71149	−	2.23968i
$153$	−2.89687			−0.234198
$154$	−3.39719	−	5.88411i	−0.273753	−	0.474155i
$155$	−2.46675	−	4.27253i	−0.198134	−	0.343178i
$156$	−2.69042	+	4.65994i	−0.215406	+	0.373094i
$157$	1.21559	+	2.10546i	0.0970145	+	0.168034i	0.910448	−	0.413624i	$-0.135737\pi$
$157$	1.21559	+	2.10546i	0.0970145	+	0.168034i	−0.813433	+	0.581659i	$0.802404\pi$
$158$	−2.51603	+	4.35790i	−0.200165	+	0.346696i
$159$	−16.3924			−1.30000
$160$	24.8441			1.96410
$161$	0.594597	−	1.02987i	0.0468608	−	0.0811653i
$162$	8.38176	−	14.5176i	0.658533	−	1.14061i
$163$	17.8175			1.39558			0.697788	−	0.716305i	$-0.254168\pi$
$163$	17.8175			1.39558			0.697788	+	0.716305i	$0.254168\pi$
$164$	−22.5035			−1.75723
$165$	0.645106	−	1.11736i	0.0502214	−	0.0869861i
$166$	10.2586	+	17.7684i	0.796223	+	1.37910i
$167$	0.202799	−	0.351258i	0.0156931	−	0.0271812i	−0.858072	−	0.513529i	$-0.828338\pi$
$167$	0.202799	−	0.351258i	0.0156931	−	0.0271812i	0.873765	+	0.486348i	$0.161671\pi$
$168$	21.1375	+	36.6112i	1.63079	+	2.82462i
$169$	6.29309	+	10.9000i	0.484084	+	0.838458i
$170$	10.3201			0.791515
$171$	−3.16203	+	1.17868i	−0.241807	+	0.0901358i
$172$	−11.5401			−0.879928
$173$	−9.01051	−	15.6067i	−0.685056	−	1.18655i	−0.973419	−	0.229031i	$-0.926444\pi$
$173$	−9.01051	−	15.6067i	−0.685056	−	1.18655i	0.288363	−	0.957521i	$-0.406889\pi$
$174$	19.9672	+	34.5842i	1.51371	+	2.62182i
$175$	1.42432	−	2.46699i	0.107668	−	0.186487i
$176$	7.01408	+	12.1487i	0.528706	+	0.915746i
$177$	−1.83476	+	3.17789i	−0.137909	+	0.238865i
$178$	12.2618			0.919061
$179$	20.1523			1.50625			0.753127	−	0.657875i	$-0.228545\pi$
$179$	20.1523			1.50625			0.753127	+	0.657875i	$0.228545\pi$
$180$	2.17028	−	3.75903i	0.161763	−	0.280182i
$181$	8.55541	−	14.8184i	0.635919	−	1.10144i	−0.350401	−	0.936600i	$-0.613955\pi$
$181$	8.55541	−	14.8184i	0.635919	−	1.10144i	0.986320	−	0.164844i	$-0.0527120\pi$
$182$	−5.05399			−0.374627
$183$	9.45099			0.698637
$184$	−2.07628	+	3.59623i	−0.153066	+	0.265117i
$185$	−3.18233	−	5.51197i	−0.233970	−	0.405248i
$186$	−10.1500	+	17.5803i	−0.744235	+	1.28905i
$187$	1.61798	+	2.80242i	0.118318	+	0.204933i
$188$	11.0842	+	19.1985i	0.808401	+	1.40019i
$189$	16.0400			1.16674
$190$	11.2647	−	4.19904i	0.817230	−	0.304631i
$191$	5.28080			0.382105			0.191053	−	0.981580i	$-0.438810\pi$
$191$	5.28080			0.382105			0.191053	+	0.981580i	$0.438810\pi$
$192$	−26.9126	−	46.6140i	−1.94225	−	3.36408i
$193$	−9.00182	−	15.5916i	−0.647966	−	1.12231i	−0.983608	−	0.180320i	$-0.942287\pi$
$193$	−9.00182	−	15.5916i	−0.647966	−	1.12231i	0.335642	−	0.941989i	$-0.391047\pi$
$194$	14.9679	−	25.9252i	1.07464	−	1.86132i
$195$	−0.479861	−	0.831144i	−0.0343636	−	0.0595195i
$196$	−3.12497	+	5.41260i	−0.223212	+	0.386614i
$197$	8.07785			0.575523			0.287761	−	0.957702i	$-0.407089\pi$
$197$	8.07785			0.575523			0.287761	+	0.957702i	$0.407089\pi$
$198$	1.84652			0.131227
$199$	−0.701872	+	1.21568i	−0.0497544	+	0.0861771i	−0.889830	−	0.456292i	$-0.849177\pi$
$199$	−0.701872	+	1.21568i	−0.0497544	+	0.0861771i	0.840076	+	0.542469i	$0.182511\pi$
$200$	−4.97360	+	8.61454i	−0.351687	+	0.609140i
$201$	−3.77783			−0.266468
$202$	−14.6064			−1.02770
$203$	−13.8233	+	23.9427i	−0.970208	+	1.68045i
$204$	−15.6497	−	27.1060i	−1.09570	−	1.89780i
$205$	2.00686	−	3.47598i	0.140165	−	0.242773i
$206$	0.531103	+	0.919897i	0.0370037	+	0.0640923i
$207$	0.161595	+	0.279890i	0.0112316	+	0.0194537i
$208$	10.4348			0.723525
$209$	2.90633	+	2.40062i	0.201035	+	0.166054i
$210$	−11.7214			−0.808853
$211$	−9.45817	−	16.3820i	−0.651128	−	1.12779i	−0.982850	−	0.184409i	$-0.940963\pi$
$211$	−9.45817	−	16.3820i	−0.651128	−	1.12779i	0.331722	−	0.943377i	$-0.392370\pi$
$212$	30.8015	+	53.3498i	2.11546	+	3.66408i
$213$	1.32940	−	2.30258i	0.0910888	−	0.157770i
$214$	8.87166	+	15.3662i	0.606454	+	1.05041i
$215$	1.02915	−	1.78254i	0.0701873	−	0.121568i
$216$	−56.0104			−3.81103
$217$	−14.0537			−0.954030
$218$	−9.05846	+	15.6897i	−0.613516	+	1.06264i
$219$	5.31936	−	9.21340i	0.359449	−	0.622584i
$220$	−4.84864			−0.326895
$221$	2.40706			0.161917
$222$	−13.0945	+	22.6803i	−0.878843	+	1.52220i
$223$	8.07400	+	13.9846i	0.540675	+	0.936477i	0.998865	+	0.0476227i	$0.0151645\pi$
$223$	8.07400	+	13.9846i	0.540675	+	0.936477i	−0.458190	+	0.888854i	$0.651502\pi$
$224$	35.3859	−	61.2901i	2.36432	−	4.09512i
$225$	0.387090	+	0.670459i	0.0258060	+	0.0446973i
$226$	−0.406136	−	0.703448i	−0.0270157	−	0.0467926i
$227$	26.3186			1.74683			0.873414	−	0.486978i	$-0.161901\pi$
$227$	26.3186			1.74683			0.873414	+	0.486978i	$0.161901\pi$
$228$	−28.1111	−	23.2197i	−1.86170	−	1.53776i
$229$	−13.3323			−0.881026			−0.440513	−	0.897746i	$-0.645203\pi$
$229$	−13.3323			−0.881026			−0.440513	+	0.897746i	$0.645203\pi$
$230$	−0.575681	−	0.997109i	−0.0379593	−	0.0657474i
$231$	−1.83767	−	3.18294i	−0.120910	−	0.209422i
$232$	48.2700	−	83.6060i	3.16908	−	5.48900i
$233$	−12.6547	−	21.9186i	−0.829038	−	1.43594i	−0.898794	−	0.438372i	$-0.855555\pi$
$233$	−12.6547	−	21.9186i	−0.829038	−	1.43594i	0.0697556	−	0.997564i	$-0.477778\pi$
$234$	0.686767	−	1.18951i	0.0448953	−	0.0777610i
$235$	−3.95396			−0.257928
$236$	13.7901			0.897658
$237$	−1.36102	+	2.35736i	−0.0884077	+	0.153127i
$238$	14.6991	−	25.4596i	0.952801	−	1.65030i
$239$	−23.5500			−1.52332			−0.761660	−	0.647977i	$-0.775615\pi$
$239$	−23.5500			−1.52332			−0.761660	+	0.647977i	$0.775615\pi$
$240$	24.2008			1.56215
$241$	−4.19208	+	7.26089i	−0.270035	+	0.467715i	−0.968871	−	0.247568i	$-0.920369\pi$
$241$	−4.19208	+	7.26089i	−0.270035	+	0.467715i	0.698835	+	0.715283i	$0.253702\pi$
$242$	14.1378	+	24.4873i	0.908809	+	1.57410i
$243$	−3.91213	+	6.77601i	−0.250963	+	0.434681i
$244$	−17.7585	−	30.7586i	−1.13687	−	1.96912i
$245$	−0.557368	−	0.965389i	−0.0356089	−	0.0616764i
$246$	−16.5154			−1.05298
$247$	2.62739	−	0.979387i	0.167177	−	0.0623169i
$248$	49.0745			3.11623
$249$	5.54929	+	9.61165i	0.351672	+	0.609113i
$250$	−1.37901	−	2.38851i	−0.0872161	−	0.151063i
$251$	−9.12391	+	15.8031i	−0.575896	+	0.997481i	0.420048	+	0.907502i	$0.362013\pi$
$251$	−9.12391	+	15.8031i	−0.575896	+	0.997481i	−0.995944	+	0.0899792i	$0.971320\pi$
$252$	−6.18233	−	10.7081i	−0.389450	−	0.674548i
$253$	0.180510	−	0.312652i	0.0113486	−	0.0196563i
$254$	24.3669			1.52891
$255$	5.58254			0.349592
$256$	−32.6176	+	56.4954i	−2.03860	+	3.53096i
$257$	−7.04989	+	12.2108i	−0.439760	+	0.761687i	−0.997671	−	0.0682144i	$-0.978270\pi$
$257$	−7.04989	+	12.2108i	−0.439760	+	0.761687i	0.557911	+	0.829901i	$0.311603\pi$
$258$	−8.46934			−0.527278
$259$	−18.1306			−1.12658
$260$	−1.80333	+	3.12345i	−0.111838	+	0.193708i
$261$	−3.75679	−	6.50696i	−0.232540	−	0.402770i
$262$	−28.8389	+	49.9504i	−1.78167	+	3.08595i
$263$	3.20536	+	5.55184i	0.197651	+	0.342341i	0.947766	−	0.318966i	$-0.103335\pi$
$263$	3.20536	+	5.55184i	0.197651	+	0.342341i	−0.750116	+	0.661307i	$0.770002\pi$
$264$	6.41700	+	11.1146i	0.394939	+	0.684055i
$265$	−10.9875			−0.674956
$266$	5.68558	−	33.7708i	0.348605	−	2.07062i
$267$	6.63288			0.405926
$268$	7.09857	+	12.2951i	0.433614	+	0.751042i
$269$	−8.99557	−	15.5808i	−0.548469	−	0.949977i	−0.998380	−	0.0569032i	$-0.981877\pi$
$269$	−8.99557	−	15.5808i	−0.548469	−	0.949977i	0.449910	−	0.893074i	$-0.351456\pi$
$270$	7.76487	−	13.4492i	0.472555	−	0.818490i
$271$	−5.94095	−	10.2900i	−0.360887	−	0.625075i	0.627220	−	0.778842i	$-0.284193\pi$
$271$	−5.94095	−	10.2900i	−0.360887	−	0.625075i	−0.988107	+	0.153767i	$0.950859\pi$
$272$	−30.3488	+	52.5656i	−1.84017	+	3.18726i
$273$	−2.73390			−0.165463
$274$	14.3824			0.868874
$275$	0.432400	−	0.748939i	0.0260747	−	0.0451627i
$276$	−1.74596	+	3.02409i	−0.105094	+	0.182029i
$277$	23.6240			1.41943			0.709715	−	0.704489i	$-0.248824\pi$
$277$	23.6240			1.41943			0.709715	+	0.704489i	$0.248824\pi$
$278$	−29.5765			−1.77388
$279$	1.90970	−	3.30770i	0.114331	−	0.198027i
$280$	14.1680	+	24.5397i	0.846700	+	1.46653i
$281$	−6.90465	+	11.9592i	−0.411897	+	0.713426i	−0.995097	−	0.0989020i	$-0.968467\pi$
$281$	−6.90465	+	11.9592i	−0.411897	+	0.713426i	0.583200	+	0.812328i	$0.301800\pi$
$282$	8.13474	+	14.0898i	0.484417	+	0.839035i
$283$	5.87868	+	10.1822i	0.349451	+	0.605268i	0.986152	−	0.165843i	$-0.0530346\pi$
$283$	5.87868	+	10.1822i	0.349451	+	0.605268i	−0.636701	+	0.771111i	$0.719701\pi$
$284$	−9.99179			−0.592904
$285$	6.09354	−	2.27143i	0.360950	−	0.134548i
$286$	−1.53431			−0.0907257
$287$	−5.71681	−	9.90181i	−0.337453	−	0.584485i
$288$	9.61689	+	16.6569i	0.566680	+	0.981519i
$289$	1.49927	−	2.59681i	0.0881922	−	0.152753i
$290$	13.3836	+	23.1810i	0.785911	+	1.36124i
$291$	8.09675	−	14.0240i	0.474640	−	0.822100i
$292$	−39.9805			−2.33968
$293$	−27.0576			−1.58072			−0.790362	−	0.612640i	$-0.790108\pi$
$293$	−27.0576			−1.58072			−0.790362	+	0.612640i	$0.790108\pi$
$294$	−2.29342	+	3.97232i	−0.133755	+	0.231670i
$295$	−1.22980	+	2.13007i	−0.0716015	+	0.124017i
$296$	63.3107			3.67986
$297$	4.86949			0.282557
$298$	20.5632	−	35.6165i	1.19119	−	2.06321i
$299$	−0.134272	−	0.232566i	−0.00776516	−	0.0134497i
$300$	−4.18233	+	7.24402i	−0.241467	+	0.418233i
$301$	−2.93167	−	5.07780i	−0.168979	−	0.292679i
$302$	−29.5921	−	51.2549i	−1.70283	−	2.94939i
$303$	−7.90117			−0.453910
$304$	−11.7388	+	69.7256i	−0.673269	+	3.99904i
$305$	6.33479			0.362729
$306$	3.99480	+	6.91920i	0.228368	+	0.395544i
$307$	−4.41912	−	7.65414i	−0.252212	−	0.436845i	0.711922	−	0.702258i	$-0.247825\pi$
$307$	−4.41912	−	7.65414i	−0.252212	−	0.436845i	−0.964135	+	0.265414i	$0.914492\pi$
$308$	−6.90601	+	11.9616i	−0.393506	+	0.681573i
$309$	0.287294	+	0.497608i	0.0163436	+	0.0283080i
$310$	−6.80333	+	11.7837i	−0.386403	+	0.669270i
$311$	−0.651493			−0.0369428			−0.0184714	−	0.999829i	$-0.505880\pi$
$311$	−0.651493			−0.0369428			−0.0184714	+	0.999829i	$0.505880\pi$
$312$	9.54656			0.540468
$313$	1.48278	−	2.56825i	0.0838116	−	0.145166i	−0.821073	−	0.570824i	$-0.806624\pi$
$313$	1.48278	−	2.56825i	0.0838116	−	0.145166i	0.904884	+	0.425658i	$0.139957\pi$
$314$	3.35261	−	5.80690i	0.189199	−	0.327702i
$315$	2.20536			0.124258
$316$	10.2295			0.575453
$317$	5.18993	−	8.98921i	0.291495	−	0.504885i	−0.682668	−	0.730728i	$-0.739181\pi$
$317$	5.18993	−	8.98921i	0.291495	−	0.504885i	0.974164	+	0.225844i	$0.0725139\pi$
$318$	22.6053	+	39.1535i	1.26764	+	2.19562i
$319$	−4.19654	+	7.26862i	−0.234961	+	0.406965i
$320$	−18.0389	−	31.2443i	−1.00841	−	1.74661i
$321$	4.79903	+	8.31216i	0.267856	+	0.463939i
$322$	−3.27981			−0.182777
$323$	−2.70787	+	16.0840i	−0.150670	+	0.894938i
$324$	−34.0778			−1.89321
$325$	−0.321640	−	0.557098i	−0.0178414	−	0.0309022i
$326$	−24.5705	−	42.5574i	−1.36083	−	2.35703i
$327$	−4.90007	+	8.48718i	−0.270975	+	0.469342i
$328$	19.9626	+	34.5763i	1.10225	+	1.90916i
$329$	−5.63170	+	9.75438i	−0.310485	+	0.537776i
$330$	−3.55843			−0.195885
$331$	15.0922			0.829543			0.414772	−	0.909926i	$-0.363861\pi$
$331$	15.0922			0.829543			0.414772	+	0.909926i	$0.363861\pi$
$332$	20.8543	−	36.1207i	1.14453	−	1.98238i
$333$	2.46370	−	4.26725i	0.135010	−	0.233844i
$334$	−1.11865			−0.0612096
$335$	−2.53220			−0.138349
$336$	34.4696	−	59.7032i	1.88047	−	3.25708i
$337$	−7.89872	−	13.6810i	−0.430271	−	0.745251i	0.566626	−	0.823975i	$-0.308249\pi$
$337$	−7.89872	−	13.6810i	−0.430271	−	0.745251i	−0.996896	+	0.0787246i	$0.974915\pi$
$338$	17.3565	−	30.0623i	0.944067	−	1.63517i
$339$	−0.219695	−	0.380522i	−0.0119322	−	0.0206671i
$340$	−10.4896	−	18.1686i	−0.568880	−	0.985330i
$341$	−4.26649			−0.231043
$342$	7.17575	+	5.92714i	0.388020	+	0.320503i
$343$	16.7650			0.905224
$344$	10.2371	+	17.7313i	0.551950	+	0.956005i
$345$	−0.311408	−	0.539375i	−0.0167657	−	0.0290390i
$346$	−24.8511	+	43.0434i	−1.33600	+	2.31403i
$347$	10.6761	+	18.4915i	0.573122	+	0.992676i	0.996243	+	0.0866031i	$0.0276012\pi$
$347$	10.6761	+	18.4915i	0.573122	+	0.992676i	−0.423121	+	0.906073i	$0.639065\pi$
$348$	40.5905	−	70.3048i	2.17588	−	3.76873i
$349$	−32.3897			−1.73378			−0.866891	−	0.498497i	$-0.833885\pi$
$349$	−32.3897			−1.73378			−0.866891	+	0.498497i	$0.833885\pi$
$350$	−7.85659			−0.419952
$351$	1.81108	−	3.13689i	0.0966685	−	0.167435i
$352$	10.7426	−	18.6067i	0.572582	−	0.991741i
$353$	0.730583			0.0388850			0.0194425	−	0.999811i	$-0.493811\pi$
$353$	0.730583			0.0388850			0.0194425	+	0.999811i	$0.493811\pi$
$354$	10.1206			0.537902
$355$	0.891065	−	1.54337i	0.0472928	−	0.0819136i
$356$	−12.4632	−	21.5870i	−0.660551	−	1.14411i
$357$	7.95132	−	13.7721i	0.420828	−	0.728896i
$358$	−27.7902	−	48.1340i	−1.46876	−	2.54396i
$359$	13.4248	+	23.2524i	0.708533	+	1.22722i	0.965401	+	0.260769i	$0.0839761\pi$
$359$	13.4248	+	23.2524i	0.708533	+	1.22722i	−0.256868	+	0.966447i	$0.582691\pi$
$360$	−7.70092			−0.405874
$361$	3.58853	+	18.6580i	0.188870	+	0.982002i
$362$	−47.1919			−2.48035
$363$	7.64766	+	13.2461i	0.401398	+	0.695242i
$364$	5.13702	+	8.89759i	0.269253	+	0.466360i
$365$	3.56545	−	6.17554i	0.186624	−	0.323242i
$366$	−13.0330	−	22.5738i	−0.681245	−	1.17995i
$367$	11.4822	−	19.8877i	0.599364	−	1.03813i	−0.393551	−	0.919303i	$-0.628754\pi$
$367$	11.4822	−	19.8877i	0.599364	−	1.03813i	0.992915	−	0.118826i	$-0.0379130\pi$
$368$	6.77173			0.353001
$369$	3.10734			0.161761
$370$	−8.77693	+	15.2021i	−0.456291	+	0.790319i
$371$	−15.6497	+	27.1060i	−0.812491	+	1.40728i
$372$	41.2670			2.13960
$373$	29.5305			1.52903			0.764515	−	0.644606i	$-0.222979\pi$
$373$	29.5305			1.52903			0.764515	+	0.644606i	$0.222979\pi$
$374$	4.46241	−	7.72912i	0.230746	−	0.399663i
$375$	−0.745959	−	1.29204i	−0.0385212	−	0.0667206i
$376$	19.6654	−	34.0615i	1.01417	−	1.75659i
$377$	3.12159	+	5.40676i	0.160770	+	0.278462i
$378$	−22.1193	−	38.3118i	−1.13769	−	1.97054i
$379$	17.5117			0.899517			0.449759	−	0.893150i	$-0.351510\pi$
$379$	17.5117			0.899517			0.449759	+	0.893150i	$0.351510\pi$
$380$	−18.8423	−	15.5636i	−0.966587	−	0.798397i
$381$	13.1810			0.675282
$382$	−7.28226	−	12.6132i	−0.372593	−	0.645350i
$383$	−4.05326	−	7.02045i	−0.207112	−	0.358728i	0.743692	−	0.668523i	$-0.233073\pi$
$383$	−4.05326	−	7.02045i	−0.207112	−	0.358728i	−0.950804	+	0.309794i	$0.899740\pi$
$384$	−37.1601	+	64.3631i	−1.89632	+	3.28452i
$385$	−1.23175	−	2.13346i	−0.0627759	−	0.108731i
$386$	−24.8272	+	43.0019i	−1.26367	+	2.18874i
$387$	1.59349			0.0810016
$388$	−60.8554			−3.08947
$389$	−8.65392	+	14.9890i	−0.438771	+	0.759974i	−0.997595	−	0.0693125i	$-0.977919\pi$
$389$	−8.65392	+	14.9890i	−0.438771	+	0.759974i	0.558824	+	0.829286i	$0.311253\pi$
$390$	−1.32347	+	2.29231i	−0.0670163	+	0.116076i
$391$	1.56208			0.0789976
$392$	11.0885			0.560054
$393$	−15.6001	+	27.0201i	−0.786920	+	1.36298i
$394$	−11.1394	−	19.2940i	−0.561196	−	0.972019i
$395$	−0.912262	+	1.58008i	−0.0459009	+	0.0795026i
$396$	−1.87686	−	3.25081i	−0.0943156	−	0.163359i
$397$	5.69472	+	9.86354i	0.285810	+	0.495037i	0.972805	−	0.231625i	$-0.0744041\pi$
$397$	5.69472	+	9.86354i	0.285810	+	0.495037i	−0.686996	+	0.726662i	$0.741071\pi$
$398$	3.87155			0.194063
$399$	3.07555	−	18.2679i	0.153970	−	0.914541i
$400$	16.2213			0.811063
$401$	4.46930	+	7.74106i	0.223186	+	0.386570i	0.955774	−	0.294103i	$-0.0950208\pi$
$401$	4.46930	+	7.74106i	0.223186	+	0.386570i	−0.732587	+	0.680673i	$0.761687\pi$
$402$	5.20966	+	9.02339i	0.259834	+	0.450046i
$403$	−1.58681	+	2.74844i	−0.0790447	+	0.136909i
$404$	14.8464	+	25.7146i	0.738634	+	1.27935i
$405$	3.03905	−	5.26380i	0.151012	−	0.261560i
$406$	76.2500			3.78422
$407$	−5.50417			−0.272832
$408$	−27.7653	+	48.0910i	−1.37459	+	2.38086i
$409$	3.27235	−	5.66788i	0.161808	−	0.280259i	−0.773709	−	0.633541i	$-0.781601\pi$
$409$	3.27235	−	5.66788i	0.161808	−	0.280259i	0.935517	+	0.353282i	$0.114934\pi$
$410$	−11.0699			−0.546703
$411$	7.78001			0.383760
$412$	1.07966	−	1.87002i	0.0531909	−	0.0921293i
$413$	3.50324	+	6.06780i	0.172383	+	0.298577i
$414$	0.445681	−	0.771941i	0.0219040	−	0.0379389i
$415$	3.71956	+	6.44247i	0.182586	+	0.316249i
$416$	−7.99086	−	13.8406i	−0.391784	−	0.678590i
$417$	−15.9991			−0.783479
$418$	1.72605	−	10.2523i	0.0844239	−	0.501455i
$419$	21.8441			1.06715			0.533576	−	0.845752i	$-0.320848\pi$
$419$	21.8441			1.06715			0.533576	+	0.845752i	$0.320848\pi$
$420$	11.9140	+	20.6356i	0.581342	+	1.00691i
$421$	14.6717	+	25.4121i	0.715054	+	1.23851i	0.962939	+	0.269720i	$0.0869311\pi$
$421$	14.6717	+	25.4121i	0.715054	+	1.23851i	−0.247885	+	0.968789i	$0.579736\pi$
$422$	−26.0858	+	45.1819i	−1.26984	+	2.19942i
$423$	−1.53054	−	2.65097i	−0.0744172	−	0.128894i
$424$	54.6474	−	94.6521i	2.65391	−	4.59671i
$425$	3.74185			0.181507
$426$	−7.33299			−0.355285
$427$	9.02276	−	15.6279i	0.436642	−	0.756286i
$428$	18.0348	−	31.2372i	0.871746	−	1.50991i
$429$	−0.829969			−0.0400713
$430$	−5.67681			−0.273760
$431$	6.44336	−	11.1602i	0.310366	−	0.537570i	−0.668076	−	0.744093i	$-0.732882\pi$
$431$	6.44336	−	11.1602i	0.310366	−	0.537570i	0.978442	+	0.206524i	$0.0662151\pi$
$432$	45.6691	+	79.1011i	2.19725	+	3.80576i
$433$	6.92144	−	11.9883i	0.332623	−	0.576120i	−0.650402	−	0.759590i	$-0.725400\pi$
$433$	6.92144	−	11.9883i	0.332623	−	0.576120i	0.983025	+	0.183470i	$0.0587330\pi$
$434$	19.3802	+	33.5675i	0.930280	+	1.61129i
$435$	7.23970	+	12.5395i	0.347117	+	0.601225i
$436$	36.8291			1.76379
$437$	1.70506	−	0.635578i	0.0815641	−	0.0304038i
$438$	−29.3418			−1.40200
$439$	0.0354040	+	0.0613216i	0.00168974	+	0.00292672i	0.866869	−	0.498536i	$-0.166129\pi$
$439$	0.0354040	+	0.0613216i	0.00168974	+	0.00292672i	−0.865179	+	0.501463i	$0.832795\pi$
$440$	4.30118	+	7.44986i	0.205051	+	0.355158i
$441$	0.431503	−	0.747384i	0.0205477	−	0.0355897i
$442$	−3.31936	−	5.74930i	−0.157886	−	0.273466i
$443$	1.89457	−	3.28149i	0.0900137	−	0.155908i	−0.817503	−	0.575924i	$-0.804642\pi$
$443$	1.89457	−	3.28149i	0.0900137	−	0.155908i	0.907517	+	0.420016i	$0.137976\pi$
$444$	53.2384			2.52658
$445$	4.44588			0.210755
$446$	22.2682	−	38.5697i	1.05443	−	1.82633i
$447$	11.1234	−	19.2663i	0.526120	−	0.911266i
$448$	−102.773			−4.85555
$449$	−26.5765			−1.25422			−0.627112	−	0.778929i	$-0.715763\pi$
$449$	−26.5765			−1.25422			−0.627112	+	0.778929i	$0.715763\pi$
$450$	1.06760	−	1.84914i	0.0503271	−	0.0871692i
$451$	−1.73553	−	3.00603i	−0.0817230	−	0.141548i
$452$	−0.825616	+	1.43001i	−0.0388337	+	0.0672620i
$453$	−16.0075	−	27.7258i	−0.752098	−	1.30267i
$454$	−36.2936	−	62.8624i	−1.70334	−	2.95028i
$455$	−1.83247			−0.0859077
$456$	−10.7396	+	63.7902i	−0.502927	+	2.98725i
$457$	−33.1523			−1.55080			−0.775400	−	0.631471i	$-0.782452\pi$
$457$	−33.1523			−1.55080			−0.775400	+	0.631471i	$0.782452\pi$
$458$	18.3854	+	31.8445i	0.859094	+	1.48799i
$459$	10.5348	+	18.2467i	0.491720	+	0.851684i
$460$	−1.17028	+	2.02698i	−0.0545645	+	0.0945085i
$461$	9.62679	+	16.6741i	0.448364	+	0.776590i	0.998280	−	0.0586304i	$-0.0186734\pi$
$461$	9.62679	+	16.6741i	0.448364	+	0.776590i	−0.549915	+	0.835220i	$0.685340\pi$
$462$	−5.06833	+	8.77861i	−0.235800	+	0.408418i
$463$	39.1713			1.82044			0.910222	−	0.414120i	$-0.135911\pi$
$463$	39.1713			1.82044			0.910222	+	0.414120i	$0.135911\pi$
$464$	−157.431			−7.30855
$465$	−3.68018	+	6.37427i	−0.170664	+	0.295600i
$466$	−34.9019	+	60.4519i	−1.61680	+	2.80038i
$467$	−39.0650			−1.80771			−0.903856	−	0.427836i	$-0.859276\pi$
$467$	−39.0650			−1.80771			−0.903856	+	0.427836i	$0.859276\pi$
$468$	−2.79220			−0.129069
$469$	−3.60665	+	6.24691i	−0.166540	+	0.288455i
$470$	5.45254	+	9.44407i	0.251507	+	0.435623i
$471$	1.81356	−	3.14118i	0.0835644	−	0.144738i
$472$	−12.2330	−	21.1882i	−0.563071	−	0.975268i
$473$	−0.890007	−	1.54154i	−0.0409226	−	0.0708800i
$474$	7.50743			0.344828
$475$	4.08436	−	1.52249i	0.187404	−	0.0698565i
$476$	−59.7623			−2.73920
$477$	−4.25314	−	7.36666i	−0.194738	−	0.337296i
$478$	32.4756	+	56.2493i	1.48540	+	2.57279i
$479$	12.3775	−	21.4385i	0.565543	−	0.979550i	−0.431455	−	0.902134i	$-0.642000\pi$
$479$	12.3775	−	21.4385i	0.565543	−	0.979550i	0.996999	−	0.0774158i	$-0.0246669\pi$
$480$	−18.5327	−	32.0995i	−0.845897	−	1.46514i
$481$	−2.04714	+	3.54574i	−0.0933413	+	0.161672i
$482$	23.1236			1.05325
$483$	−1.77418			−0.0807280
$484$	28.7400	−	49.7792i	1.30637	−	2.26269i
$485$	5.42707	−	9.39996i	0.246431	−	0.426830i
$486$	21.5794			0.978863
$487$	21.8871			0.991797			0.495899	−	0.868380i	$-0.334839\pi$
$487$	21.8871			0.991797			0.495899	+	0.868380i	$0.334839\pi$
$488$	−31.5067	+	54.5713i	−1.42624	+	2.47033i
$489$	−13.2911	−	23.0209i	−0.601046	−	1.04104i
$490$	−1.53723	+	2.66256i	−0.0694449	+	0.120282i
$491$	−4.69777	−	8.13677i	−0.212007	−	0.367207i	0.740335	−	0.672238i	$-0.234667\pi$
$491$	−4.69777	−	8.13677i	−0.212007	−	0.367207i	−0.952343	+	0.305030i	$0.901333\pi$
$492$	16.7867	+	29.0754i	0.756803	+	1.31082i
$493$	−36.3155			−1.63557
$494$	−5.96247	−	4.92498i	−0.268264	−	0.221585i
$495$	0.669511			0.0300923
$496$	−40.0137	−	69.3058i	−1.79667	−	3.11192i
$497$	−2.53832	−	4.39650i	−0.113859	−	0.197210i
$498$	15.3050	−	26.5091i	0.685834	−	1.18790i
$499$	−12.4558	−	21.5740i	−0.557596	−	0.965785i	−0.997696	−	0.0678367i	$-0.978390\pi$
$499$	−12.4558	−	21.5740i	−0.557596	−	0.965785i	0.440100	−	0.897949i	$-0.354943\pi$
$500$	−2.80333	+	4.85550i	−0.125369	+	0.217145i
$501$	−0.605119			−0.0270347
$502$	50.3278			2.24624
$503$	15.6590	−	27.1222i	0.698200	−	1.20932i	−0.270890	−	0.962610i	$-0.587318\pi$
$503$	15.6590	−	27.1222i	0.698200	−	1.20932i	0.969090	−	0.246707i	$-0.0793486\pi$
$504$	−10.9686	+	18.9981i	−0.488579	+	0.846244i
$505$	−5.29598			−0.235668
$506$	−0.995699			−0.0442642
$507$	9.38878	−	16.2619i	0.416971	−	0.722214i
$508$	−24.7672	−	42.8980i	−1.09887	−	1.90329i
$509$	4.83310	−	8.37117i	0.214223	−	0.371045i	−0.738809	−	0.673915i	$-0.764611\pi$
$509$	4.83310	−	8.37117i	0.214223	−	0.371045i	0.953032	+	0.302870i	$0.0979447\pi$
$510$	−7.69837	−	13.3340i	−0.340889	−	0.590438i
$511$	−10.1567	−	17.5919i	−0.449305	−	0.778219i
$512$	80.2896			3.54833
$513$	18.9233	+	15.6306i	0.835484	+	0.690106i
$514$	38.8874			1.71525
$515$	0.192567	+	0.333536i	0.00848552	+	0.0146973i
$516$	8.60848	+	14.9103i	0.378967	+	0.656390i
$517$	−1.70969	+	2.96127i	−0.0751922	+	0.130237i
$518$	25.0023	+	43.3052i	1.09854	+	1.90272i
$519$	−13.4429	+	23.2839i	−0.590080	+	1.02205i
$520$	6.39885			0.280608
$521$	−0.982633			−0.0430499			−0.0215250	−	0.999768i	$-0.506852\pi$
$521$	−0.982633			−0.0430499			−0.0215250	+	0.999768i	$0.506852\pi$
$522$	−10.3613	+	17.9463i	−0.453502	+	0.785488i
$523$	−19.8604	+	34.3993i	−0.868436	+	1.50418i	−0.00484172	+	0.999988i	$0.501541\pi$
$523$	−19.8604	+	34.3993i	−0.868436	+	1.50418i	−0.863594	+	0.504187i	$0.831792\pi$
$524$	117.251			5.12212
$525$	−4.24993			−0.185482
$526$	8.84043	−	15.3121i	0.385461	−	0.667638i
$527$	−9.23020	−	15.9872i	−0.402074	−	0.696413i
$528$	10.4644	−	18.1249i	0.455406	−	0.788786i
$529$	11.4129	+	19.7677i	0.496211	+	0.859463i
$530$	15.1518	+	26.2437i	0.658154	+	1.13996i
$531$	−1.90417			−0.0826337
$532$	−65.2327	+	24.3161i	−2.82820	+	1.05424i
$533$	−2.58195			−0.111837
$534$	−9.14680	−	15.8427i	−0.395821	−	0.685582i
$535$	3.21668	+	5.57146i	0.139069	+	0.240875i
$536$	12.5941	−	21.8137i	0.543984	−	0.942208i
$537$	−15.0328	−	26.0376i	−0.648713	−	1.12360i
$538$	−24.8099	+	42.9720i	−1.06963	+	1.85266i
$539$	−0.964024			−0.0415234
$540$	−31.5698			−1.35855
$541$	−15.3887	+	26.6541i	−0.661614	+	1.14595i	0.318577	+	0.947897i	$0.396795\pi$
$541$	−15.3887	+	26.6541i	−0.661614	+	1.14595i	−0.980191	+	0.198052i	$0.936538\pi$
$542$	−16.3852	+	28.3801i	−0.703807	+	1.21903i
$543$	−25.5280			−1.09551
$544$	92.9629			3.98575
$545$	−3.28441	+	5.68877i	−0.140689	+	0.243680i
$546$	3.77007	+	6.52996i	0.161344	+	0.279456i
$547$	8.93287	−	15.4722i	0.381942	−	0.661543i	−0.609398	−	0.792865i	$-0.708589\pi$
$547$	8.93287	−	15.4722i	0.381942	−	0.661543i	0.991340	+	0.131322i	$0.0419221\pi$
$548$	−14.6187	−	25.3203i	−0.624480	−	1.08163i
$549$	2.45213	+	4.24722i	0.104654	+	0.181267i
$550$	−2.38513			−0.101702
$551$	−39.6397	+	14.7761i	−1.68871	+	0.629482i
$552$	6.19529			0.263689
$553$	2.59870	+	4.50109i	0.110508	+	0.191406i
$554$	−32.5777	−	56.4263i	−1.38409	−	2.39732i
$555$	−4.74778	+	8.22340i	−0.201532	+	0.349064i
$556$	30.0624	+	52.0696i	1.27493	+	2.20824i
$557$	5.32878	−	9.22971i	0.225787	−	0.391075i	−0.730768	−	0.682626i	$-0.760838\pi$
$557$	5.32878	−	9.22971i	0.225787	−	0.391075i	0.956555	+	0.291551i	$0.0941712\pi$
$558$	−10.5340			−0.445939
$559$	−1.32406			−0.0560019
$560$	23.1042	−	40.0177i	0.976332	−	1.69106i
$561$	2.41389	−	4.18098i	0.101915	−	0.176521i
$562$	38.0863			1.60657
$563$	7.75961			0.327029			0.163514	−	0.986541i	$-0.447717\pi$
$563$	7.75961			0.327029			0.163514	+	0.986541i	$0.447717\pi$
$564$	16.5368	−	28.6425i	0.696324	−	1.20607i
$565$	−0.147256	−	0.255056i	−0.00619513	−	0.0107303i
$566$	16.2135	−	28.0826i	0.681504	−	1.18040i
$567$	−8.65716	−	14.9946i	−0.363567	−	0.629716i
$568$	8.86361	+	15.3522i	0.371909	+	0.644165i
$569$	5.72754			0.240111			0.120056	−	0.992767i	$-0.461693\pi$
$569$	5.72754			0.240111			0.120056	+	0.992767i	$0.461693\pi$
$570$	−13.8284	−	11.4222i	−0.579207	−	0.478422i
$571$	−20.8347			−0.871903			−0.435952	−	0.899970i	$-0.643588\pi$
$571$	−20.8347			−0.871903			−0.435952	+	0.899970i	$0.643588\pi$
$572$	1.55952	+	2.70116i	0.0652067	+	0.112941i
$573$	−3.93926	−	6.82300i	−0.164565	−	0.285035i
$574$	−15.7671	+	27.3093i	−0.658104	+	1.13987i
$575$	−0.208730	−	0.361531i	−0.00870465	−	0.0150769i
$576$	13.9654	−	24.1887i	0.581890	−	1.00786i
$577$	−5.11190			−0.212811			−0.106406	−	0.994323i	$-0.533934\pi$
$577$	−5.11190			−0.212811			−0.106406	+	0.994323i	$0.533934\pi$
$578$	−8.27001			−0.343987
$579$	−13.4300	+	23.2614i	−0.558131	+	0.966712i
$580$	27.2069	−	47.1238i	1.12971	−	1.95671i
$581$	21.1914			0.879167
$582$	−44.6619			−1.85130
$583$	−4.75099	+	8.22896i	−0.196766	+	0.340809i
$584$	35.4663	+	61.4294i	1.46760	+	2.54197i
$585$	0.249007	−	0.431294i	0.0102952	−	0.0178318i
$586$	37.3127	+	64.6275i	1.54137	+	2.66974i
$587$	5.33462	+	9.23984i	0.220184	+	0.381369i	0.954864	−	0.297045i	$-0.0960010\pi$
$587$	5.33462	+	9.23984i	0.220184	+	0.381369i	−0.734680	+	0.678414i	$0.762668\pi$
$588$	9.32439			0.384531
$589$	−16.5800	−	13.6950i	−0.683165	−	0.564292i
$590$	6.78360			0.279276
$591$	−6.02574	−	10.4369i	−0.247866	−	0.429316i
$592$	−51.6215	−	89.4110i	−2.12163	−	3.67477i
$593$	8.50133	−	14.7247i	0.349108	−	0.604673i	−0.636983	−	0.770878i	$-0.719818\pi$
$593$	8.50133	−	14.7247i	0.349108	−	0.604673i	0.986091	+	0.166205i	$0.0531513\pi$
$594$	−6.71507	−	11.6308i	−0.275523	−	0.477219i
$595$	5.32959	−	9.23112i	0.218492	−	0.378439i
$596$	−83.6040			−3.42455
$597$	2.09427			0.0857128
$598$	−0.370325	+	0.641421i	−0.0151437	+	0.0262297i
$599$	−14.3375	+	24.8334i	−0.585816	+	1.01466i	0.408957	+	0.912554i	$0.365893\pi$
$599$	−14.3375	+	24.8334i	−0.585816	+	1.01466i	−0.994773	+	0.102110i	$0.967441\pi$
$600$	14.8404			0.605858
$601$	27.4370			1.11918			0.559590	−	0.828770i	$-0.310959\pi$
$601$	27.4370			1.11918			0.559590	+	0.828770i	$0.310959\pi$
$602$	−8.08559	+	14.0046i	−0.329544	+	0.570787i
$603$	−0.980187	−	1.69773i	−0.0399163	−	0.0691371i
$604$	−60.1564	+	104.194i	−2.44773	+	4.23959i
$605$	5.12606	+	8.87860i	0.208404	+	0.360966i
$606$	10.8958	+	18.8720i	0.442611	+	0.766624i
$607$	−17.7547			−0.720639			−0.360320	−	0.932829i	$-0.617332\pi$
$607$	−17.7547			−0.720639			−0.360320	+	0.932829i	$0.617332\pi$
$608$	101.472	−	37.8248i	4.11524	−	1.53400i
$609$	41.2466			1.67140
$610$	−8.73573	−	15.1307i	−0.353699	−	0.612625i
$611$	1.27175	+	2.20274i	0.0514496	+	0.0891133i
$612$	8.12086	−	14.0657i	0.328266	−	0.568574i
$613$	−17.3196	−	29.9983i	−0.699530	−	1.21162i	−0.968629	−	0.248509i	$-0.920059\pi$
$613$	−17.3196	−	29.9983i	−0.699530	−	1.21162i	0.269099	−	0.963112i	$-0.413274\pi$
$614$	−12.1880	+	21.1102i	−0.491868	+	0.851940i
$615$	−5.98814			−0.241465
$616$	24.5050			0.987334
$617$	−2.23284	+	3.86740i	−0.0898909	+	0.155696i	−0.907465	−	0.420128i	$-0.861985\pi$
$617$	−2.23284	+	3.86740i	−0.0898909	+	0.155696i	0.817574	+	0.575824i	$0.195319\pi$
$618$	0.792362	−	1.37241i	0.0318735	−	0.0552065i
$619$	−17.9112			−0.719913			−0.359957	−	0.932969i	$-0.617209\pi$
$619$	−17.9112			−0.719913			−0.359957	+	0.932969i	$0.617209\pi$
$620$	27.6604			1.11087
$621$	1.17531	−	2.03570i	0.0471636	−	0.0816898i
$622$	0.898414	+	1.55610i	0.0360231	+	0.0623939i
$623$	6.33234	−	10.9679i	0.253700	−	0.439421i
$624$	−7.78396	−	13.4822i	−0.311608	−	0.539720i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−8.17906			−0.326901
$627$	0.933688	−	5.54586i	0.0372879	−	0.221480i
$628$	−13.6308			−0.543927
$629$	−11.9078	−	20.6250i	−0.474796	−	0.822371i
$630$	−3.04120	−	5.26752i	−0.121164	−	0.209863i
$631$	−2.48440	+	4.30311i	−0.0989026	+	0.171304i	−0.911231	−	0.411896i	$-0.864867\pi$
$631$	−2.48440	+	4.30311i	−0.0989026	+	0.171304i	0.812328	+	0.583201i	$0.198200\pi$
$632$	−9.07446	−	15.7174i	−0.360963	−	0.625205i
$633$	−14.1108	+	24.4407i	−0.560855	+	0.971429i
$634$	−28.6278			−1.13696
$635$	8.83492			0.350603
$636$	45.9534	−	79.5935i	1.82217	−	3.15609i
$637$	−0.358544	+	0.621016i	−0.0142060	+	0.0246056i
$638$	23.1483			0.916449
$639$	1.37969			0.0545796
$640$	−24.9076	+	43.1412i	−0.984558	+	1.70530i
$641$	18.9760	+	32.8675i	0.749508	+	1.29819i	0.948059	+	0.318096i	$0.103043\pi$
$641$	18.9760	+	32.8675i	0.749508	+	1.29819i	−0.198550	+	0.980091i	$0.563623\pi$
$642$	13.2358	−	22.9251i	0.522375	−	0.904780i
$643$	−17.6251	−	30.5276i	−0.695067	−	1.20389i	−0.970158	−	0.242473i	$-0.922042\pi$
$643$	−17.6251	−	30.5276i	−0.695067	−	1.20389i	0.275092	−	0.961418i	$-0.411292\pi$
$644$	3.33370	+	5.77413i	0.131366	+	0.227533i
$645$	−3.07081			−0.120913
$646$	42.1510	−	15.7122i	1.65841	−	0.618188i
$647$	35.5219			1.39651			0.698254	−	0.715850i	$-0.253960\pi$
$647$	35.5219			1.39651			0.698254	+	0.715850i	$0.253960\pi$
$648$	30.2301	+	52.3601i	1.18755	+	2.05690i
$649$	1.06353	+	1.84209i	0.0417471	+	0.0723082i
$650$	−0.887090	+	1.53648i	−0.0347945	+	0.0602659i
$651$	10.4835	+	18.1580i	0.410881	+	0.711667i
$652$	−49.9483	+	86.5130i	−1.95613	+	3.38811i
$653$	8.02411			0.314008			0.157004	−	0.987598i	$-0.449816\pi$
$653$	8.02411			0.314008			0.157004	+	0.987598i	$0.449816\pi$
$654$	27.0290			1.05692
$655$	−10.4564	+	18.1110i	−0.408565	+	0.707655i
$656$	32.5538	−	56.3848i	1.27101	−	2.20146i
$657$	5.52059			0.215379
$658$	31.0646			1.21102
$659$	23.6098	−	40.8933i	0.919706	−	1.59298i	0.119844	−	0.992793i	$-0.461760\pi$
$659$	23.6098	−	40.8933i	0.919706	−	1.59298i	0.799861	−	0.600185i	$-0.204906\pi$
$660$	3.61689	+	6.26463i	0.140787	+	0.243850i
$661$	13.0580	−	22.6171i	0.507896	−	0.879702i	−0.492062	−	0.870560i	$-0.663757\pi$
$661$	13.0580	−	22.6171i	0.507896	−	0.879702i	0.999958	−	0.00914181i	$-0.00290997\pi$
$662$	−20.8123	−	36.0479i	−0.808892	−	1.40104i
$663$	−1.79557	−	3.11002i	−0.0697342	−	0.120783i
$664$	−73.9986			−2.87170
$665$	2.06147	−	12.2446i	0.0799405	−	0.474825i
$666$	−13.5898			−0.526596
$667$	2.02577	+	3.50874i	0.0784383	+	0.135859i
$668$	1.13702	+	1.96938i	0.0439928	+	0.0761978i
$669$	12.0458	−	20.8639i	0.465716	−	0.806643i
$670$	3.49192	+	6.04818i	0.134905	+	0.233662i
$671$	2.73917	−	4.74437i	0.105744	−	0.183154i
$672$	−105.586			−4.07306
$673$	15.3820			0.592931			0.296466	−	0.955044i	$-0.404192\pi$
$673$	15.3820			0.592931			0.296466	+	0.955044i	$0.404192\pi$
$674$	−21.7848	+	37.7324i	−0.839119	+	1.45340i
$675$	2.81538	−	4.87639i	0.108364	−	0.187692i
$676$	−70.5664			−2.71409
$677$	24.4763			0.940701			0.470350	−	0.882480i	$-0.344128\pi$
$677$	24.4763			0.940701			0.470350	+	0.882480i	$0.344128\pi$
$678$	−0.605921	+	1.04949i	−0.0232703	+	0.0403053i
$679$	−15.4598	−	26.7771i	−0.593291	−	1.02761i
$680$	−18.6105	+	32.2343i	−0.713680	+	1.23613i
$681$	−19.6326	−	34.0047i	−0.752324	−	1.30306i
$682$	5.88352	+	10.1906i	0.225292	+	0.390217i
$683$	−17.8502			−0.683018			−0.341509	−	0.939879i	$-0.610938\pi$
$683$	−17.8502			−0.683018			−0.341509	+	0.939879i	$0.610938\pi$
$684$	3.14113	−	18.6575i	0.120104	−	0.713386i
$685$	5.21477			0.199246
$686$	−23.1191	−	40.0434i	−0.882689	−	1.52886i
$687$	9.94538	+	17.2259i	0.379440	+	0.657210i
$688$	16.6941	−	28.9150i	0.636455	−	1.10237i
$689$	3.53402	+	6.12110i	0.134635	+	0.233195i
$690$	−0.858870	+	1.48761i	−0.0326966	+	0.0566322i
$691$	−9.27242			−0.352739			−0.176370	−	0.984324i	$-0.556435\pi$
$691$	−9.27242			−0.352739			−0.176370	+	0.984324i	$0.556435\pi$
$692$	101.038			3.84087
$693$	0.953597	−	1.65168i	0.0362241	−	0.0627421i
$694$	29.4448	−	50.9999i	1.11771	−	1.93593i
$695$	−10.7238			−0.406778
$696$	−144.030			−5.45943
$697$	7.50937	−	13.0066i	0.284438	−	0.492660i
$698$	44.6657	+	77.3633i	1.69062	+	2.92824i
$699$	−18.8798	+	32.7008i	−0.714100	+	1.23686i
$700$	7.98566	+	13.8316i	0.301830	+	0.522784i
$701$	3.84453	+	6.65892i	0.145206	+	0.251504i	0.929450	−	0.368949i	$-0.120282\pi$
$701$	3.84453	+	6.65892i	0.145206	+	0.251504i	−0.784244	+	0.620453i	$0.786949\pi$
$702$	−9.98999			−0.377048
$703$	−21.3897	−	17.6678i	−0.806728	−	0.666354i
$704$	−31.2001			−1.17590
$705$	2.94949	+	5.10867i	0.111084	+	0.192404i
$706$	−1.00748	−	1.74501i	−0.0379170	−	0.0656742i
$707$	−7.54316	+	13.0651i	−0.283690	+	0.491365i
$708$	−10.2868	−	17.8173i	−0.386603	−	0.669616i
$709$	−12.2187	+	21.1635i	−0.458885	+	0.794812i	−0.998902	−	0.0468421i	$-0.985084\pi$
$709$	−12.2187	+	21.1635i	−0.458885	+	0.794812i	0.540018	+	0.841654i	$0.318418\pi$
$710$	−4.91514			−0.184462
$711$	−1.41251			−0.0529732
$712$	−22.1120	+	38.2992i	−0.828683	+	1.43532i
$713$	−1.02977	+	1.78361i	−0.0385652	+	0.0667968i
$714$	−43.8597			−1.64141
$715$	−0.556310			−0.0208048
$716$	−56.4935	+	97.8496i	−2.11126	+	3.65681i
$717$	17.5673	+	30.4275i	0.656063	+	1.13633i
$718$	37.0258	−	64.1305i	1.38179	−	2.39333i
$719$	11.0563	+	19.1501i	0.412331	+	0.714178i	0.995144	−	0.0984282i	$-0.0313815\pi$
$719$	11.0563	+	19.1501i	0.412331	+	0.714178i	−0.582813	+	0.812606i	$0.698048\pi$
$720$	6.27908	+	10.8757i	0.234008	+	0.405313i
$721$	1.09711			0.0408584
$722$	39.6163	−	34.3008i	1.47437	−	1.27655i
$723$	12.5085			0.465195
$724$	47.9672	+	83.0817i	1.78269	+	3.08771i
$725$	4.85261	+	8.40497i	0.180222	+	0.312153i
$726$	21.0924	−	36.5331i	0.782812	−	1.35587i
$727$	14.5247	+	25.1575i	0.538692	+	0.933042i	0.998975	+	0.0452694i	$0.0144146\pi$
$727$	14.5247	+	25.1575i	0.538692	+	0.933042i	−0.460283	+	0.887772i	$0.652252\pi$
$728$	9.11400	−	15.7859i	0.337787	−	0.585065i
$729$	29.9075			1.10768
$730$	−19.6671			−0.727913
$731$	3.85092	−	6.66999i	0.142431	−	0.246698i
$732$	−26.4942	+	45.8893i	−0.979254	+	1.69612i
$733$	14.5428			0.537151			0.268576	−	0.963259i	$-0.413447\pi$
$733$	14.5428			0.537151			0.268576	+	0.963259i	$0.413447\pi$
$734$	−63.3360			−2.33777
$735$	−0.831547	+	1.44028i	−0.0306721	+	0.0531256i
$736$	−5.18571	−	8.98191i	−0.191148	−	0.331078i
$737$	−1.09492	+	1.89646i	−0.0403320	+	0.0698570i
$738$	−4.28504	−	7.42191i	−0.157735	−	0.273204i
$739$	2.37798	+	4.11878i	0.0874754	+	0.151512i	0.906443	−	0.422327i	$-0.138787\pi$
$739$	2.37798	+	4.11878i	0.0874754	+	0.151512i	−0.818968	+	0.573839i	$0.805453\pi$
$740$	35.6845			1.31179
$741$	−3.22533	−	2.66411i	−0.118486	−	0.0978687i
$742$	86.3242			3.16906
$743$	−2.93853	−	5.08968i	−0.107804	−	0.186722i	0.807076	−	0.590447i	$-0.201049\pi$
$743$	−2.93853	−	5.08968i	−0.107804	−	0.186722i	−0.914880	+	0.403725i	$0.867715\pi$
$744$	−36.6076	−	63.4062i	−1.34210	−	2.32458i
$745$	7.45578	−	12.9138i	0.273159	−	0.473125i
$746$	−40.7228	−	70.5339i	−1.49097	−	2.58243i
$747$	−2.87961	+	4.98763i	−0.105359	+	0.182488i
$748$	−18.1429			−0.663370
$749$	18.3263			0.669629
$750$	−2.05737	+	3.56347i	−0.0751244	+	0.130119i
$751$	−0.810481	+	1.40379i	−0.0295749	+	0.0512252i	−0.880434	−	0.474169i	$-0.842749\pi$
$751$	−0.810481	+	1.40379i	−0.0295749	+	0.0512252i	0.850859	+	0.525394i	$0.176082\pi$
$752$	−64.1382			−2.33888
$753$	27.2243			0.992107
$754$	8.60941	−	14.9119i	0.313536	−	0.543060i
$755$	−10.7295	−	18.5840i	−0.390485	−	0.676341i
$756$	−44.9654	+	77.8824i	−1.63538	+	2.83255i
$757$	14.0567	+	24.3470i	0.510901	+	0.884907i	0.999920	+	0.0126336i	$0.00402151\pi$
$757$	14.0567	+	24.3470i	0.510901	+	0.884907i	−0.489019	+	0.872273i	$0.662645\pi$
$758$	−24.1488	−	41.8270i	−0.877125	−	1.51922i
$759$	−0.538612			−0.0195504
$760$	−7.19850	+	42.7572i	−0.261117	+	1.55096i
$761$	20.1663			0.731027			0.365514	−	0.930806i	$-0.380893\pi$
$761$	20.1663			0.731027			0.365514	+	0.930806i	$0.380893\pi$
$762$	−18.1767	−	31.4829i	−0.658472	−	1.14051i
$763$	9.35610	+	16.2052i	0.338713	+	0.586669i
$764$	−14.8038	+	25.6409i	−0.535583	+	0.927656i
$765$	1.44843	+	2.50876i	0.0523682	+	0.0907044i
$766$	−11.1790	+	19.3625i	−0.403912	+	0.699597i
$767$	1.58221			0.0571303
$768$	97.3257			3.51194
$769$	−22.6524	+	39.2350i	−0.816865	+	1.41485i	0.0911160	+	0.995840i	$0.470957\pi$
$769$	−22.6524	+	39.2350i	−0.816865	+	1.41485i	−0.907981	+	0.419011i	$0.862377\pi$
$770$	−3.39719	+	5.88411i	−0.122426	+	0.212049i
$771$	21.0357			0.757583
$772$	100.940			3.63292
$773$	10.0881	−	17.4731i	0.362843	−	0.628462i	−0.625585	−	0.780156i	$-0.715139\pi$
$773$	10.0881	−	17.4731i	0.362843	−	0.628462i	0.988428	+	0.151694i	$0.0484728\pi$
$774$	−2.19744	−	3.80607i	−0.0789852	−	0.136806i
$775$	−2.46675	+	4.27253i	−0.0886081	+	0.153474i
$776$	53.9842	+	93.5034i	1.93792	+	3.35658i
$777$	13.5247	+	23.4255i	0.485196	+	0.840385i
$778$	47.7353			1.71139
$779$	2.90461	−	17.2526i	0.104068	−	0.618138i
$780$	5.38083			0.192665
$781$	−0.770594	−	1.33471i	−0.0275740	−	0.0477596i
$782$	−2.15411	−	3.73104i	−0.0770310	−	0.133422i
$783$	−27.3239	+	47.3264i	−0.976478	+	1.69131i
$784$	−9.04120	−	15.6598i	−0.322900	−	0.559279i
$785$	1.21559	−	2.10546i	0.0433862	−	0.0751471i
$786$	86.0505			3.06932
$787$	−46.1385			−1.64466			−0.822331	−	0.569010i	$-0.807327\pi$
$787$	−46.1385			−1.64466			−0.822331	+	0.569010i	$0.807327\pi$
$788$	−22.6448	+	39.2220i	−0.806689	+	1.39723i
$789$	4.78213	−	8.28289i	0.170248	−	0.294879i
$790$	5.03207			0.179033
$791$	−0.838961			−0.0298300
$792$	−3.32988	+	5.76753i	−0.118322	+	0.204940i
$793$	−2.03753	−	3.52910i	−0.0723546	−	0.125322i
$794$	15.7061	−	27.2038i	0.557389	−	0.965427i
$795$	8.19622	+	14.1963i	0.290690	+	0.503490i
$796$	−3.93515	−	6.81588i	−0.139478	−	0.241583i
$797$	−1.86497			−0.0660606			−0.0330303	−	0.999454i	$-0.510516\pi$
$797$	−1.86497			−0.0660606			−0.0330303	+	0.999454i	$0.510516\pi$
$798$	−47.8744	+	17.8457i	−1.69474	+	0.631729i
$799$	−14.7951			−0.523414
$800$	−12.4220	−	21.5156i	−0.439185	−	0.760691i
$801$	1.72095	+	2.98078i	0.0608069	+	0.105321i
$802$	12.3264	−	21.3500i	0.435261	−	0.753894i
$803$	−3.08340	−	5.34061i	−0.108811	−	0.188466i
$804$	10.5905	−	18.3433i	0.373498	−	0.646917i
$805$	−1.18919			−0.0419136
$806$	8.75290			0.308308
$807$	−13.4207	+	23.2453i	−0.472429	+	0.818272i
$808$	26.3401	−	45.6224i	0.926641	−	1.60499i
$809$	18.2267			0.640816			0.320408	−	0.947280i	$-0.396180\pi$
$809$	18.2267			0.640816			0.320408	+	0.947280i	$0.396180\pi$
$810$	−16.7635			−0.589010
$811$	10.4890	−	18.1674i	0.368317	−	0.637944i	−0.620986	−	0.783822i	$-0.713267\pi$
$811$	10.4890	−	18.1674i	0.368317	−	0.637944i	0.989303	+	0.145878i	$0.0466008\pi$
$812$	−77.5027	−	134.239i	−2.71981	−	4.71085i
$813$	−8.86342	+	15.3519i	−0.310854	+	0.538414i
$814$	7.59030	+	13.1468i	0.266040	+	0.460794i
$815$	−8.90876	−	15.4304i	−0.312060	−	0.540504i
$816$	90.5558			3.17009
$817$	1.48953	−	8.84739i	0.0521119	−	0.309531i
$818$	−18.0504			−0.631118
$819$	−0.709332	−	1.22860i	−0.0247861	−	0.0429307i
$820$	11.2518	+	19.4886i	0.392928	+	0.680572i
$821$	11.0433	−	19.1276i	0.385415	−	0.667558i	−0.606412	−	0.795151i	$-0.707392\pi$
$821$	11.0433	−	19.1276i	0.385415	−	0.667558i	0.991827	+	0.127593i	$0.0407251\pi$
$822$	−10.7287	−	18.5827i	−0.374207	−	0.648145i
$823$	−7.98847	+	13.8364i	−0.278461	+	0.482308i	−0.971002	−	0.239070i	$-0.923157\pi$
$823$	−7.98847	+	13.8364i	−0.278461	+	0.482308i	0.692542	+	0.721378i	$0.256491\pi$
$824$	−3.83101			−0.133460
$825$	−1.29021			−0.0449194
$826$	9.66200	−	16.7351i	0.336184	−	0.582288i
$827$	−24.6004	+	42.6092i	−0.855441	+	1.48167i	0.0207946	+	0.999784i	$0.493380\pi$
$827$	−24.6004	+	42.6092i	−0.855441	+	1.48167i	−0.876235	+	0.481883i	$0.839953\pi$
$828$	−1.81201			−0.0629717
$829$	−35.8564			−1.24534			−0.622672	−	0.782483i	$-0.713953\pi$
$829$	−35.8564			−1.24534			−0.622672	+	0.782483i	$0.713953\pi$
$830$	10.2586	−	17.7684i	0.356082	−	0.616752i
$831$	−17.6226	−	30.5232i	−0.611320	−	1.05884i
$832$	−11.6041	+	20.0989i	−0.402300	+	0.696803i
$833$	−2.08559	−	3.61234i	−0.0722613	−	0.125160i
$834$	22.0629	+	38.2140i	0.763975	+	1.32324i
$835$	−0.405598			−0.0140363
$836$	−19.8036	+	7.38199i	−0.684922	+	0.255311i
$837$	−27.7794			−0.960195
$838$	−30.1232	−	52.1748i	−1.04059	−	1.80235i
$839$	12.7415	+	22.0689i	0.439885	+	0.761903i	0.997680	−	0.0680753i	$-0.0216858\pi$
$839$	12.7415	+	22.0689i	0.439885	+	0.761903i	−0.557795	+	0.829979i	$0.688352\pi$
$840$	21.1375	−	36.6112i	0.729313	−	1.26321i
$841$	−32.5957	−	56.4574i	−1.12399	−	1.94681i
$842$	40.4647	−	70.0870i	1.39451	−	2.41536i
$843$	20.6024			0.709583
$844$	106.057			3.65065
$845$	6.29309	−	10.9000i	0.216489	−	0.374970i
$846$	−4.22124	+	7.31141i	−0.145129	+	0.251371i
$847$	29.2046			1.00348
$848$	−178.231			−6.12047
$849$	8.77051	−	15.1910i	0.301003	−	0.521353i
$850$	−5.16005	−	8.93746i	−0.176988	−	0.306552i
$851$	−1.32850	+	2.30103i	−0.0455404	+	0.0788782i
$852$	7.45347	+	12.9098i	0.255352	+	0.442282i
$853$	28.5811	+	49.5039i	0.978598	+	1.69498i	0.667511	+	0.744600i	$0.267360\pi$
$853$	28.5811	+	49.5039i	0.978598	+	1.69498i	0.311087	+	0.950382i	$0.399307\pi$
$854$	−49.7698			−1.70309
$855$	2.60178	+	2.14906i	0.0889790	+	0.0734963i
$856$	−63.9940			−2.18727
$857$	−13.0987	−	22.6876i	−0.447442	−	0.774993i	0.550776	−	0.834653i	$-0.314332\pi$
$857$	−13.0987	−	22.6876i	−0.447442	−	0.774993i	−0.998219	+	0.0596598i	$0.980998\pi$
$858$	1.14453	+	1.98239i	0.0390737	+	0.0676777i
$859$	8.87246	−	15.3675i	0.302724	−	0.524334i	−0.674028	−	0.738706i	$-0.735437\pi$
$859$	8.87246	−	15.3675i	0.302724	−	0.524334i	0.976752	+	0.214372i	$0.0687705\pi$
$860$	5.77007	+	9.99406i	0.196758	+	0.340795i
$861$	−8.52902	+	14.7727i	−0.290668	+	0.503452i
$862$	−35.5418			−1.21056
$863$	25.0867			0.853960			0.426980	−	0.904261i	$-0.359578\pi$
$863$	25.0867			0.853960			0.426980	+	0.904261i	$0.359578\pi$
$864$	69.9456	−	121.149i	2.37960	−	4.12158i
$865$	−9.01051	+	15.6067i	−0.306366	+	0.530642i
$866$	−38.1789			−1.29737
$867$	−4.47357			−0.151930
$868$	39.3972	−	68.2380i	1.33723	−	2.31615i
$869$	0.788924	+	1.36646i	0.0267624	+	0.0463539i
$870$	19.9672	−	34.5842i	0.676952	−	1.17252i
$871$	0.814457	+	1.41068i	0.0275968	+	0.0477991i
$872$	−32.6707	−	56.5874i	−1.10637	−	1.91629i
$873$	8.40305			0.284400
$874$	−3.86938	−	3.19609i	−0.130884	−	0.108109i
$875$	−2.84864			−0.0963015
$876$	29.8238	+	51.6563i	1.00765	+	1.74531i
$877$	−5.00784	−	8.67383i	−0.169103	−	0.292895i	0.769002	−	0.639246i	$-0.220754\pi$
$877$	−5.00784	−	8.67383i	−0.169103	−	0.292895i	−0.938105	+	0.346352i	$0.887420\pi$
$878$	0.0976449	−	0.169126i	0.00329536	−	0.00570772i
$879$	20.1839	+	34.9595i	0.680786	+	1.17916i
$880$	7.01408	−	12.1487i	0.236444	−	0.409534i
$881$	33.3473			1.12350			0.561750	−	0.827307i	$-0.310128\pi$
$881$	33.3473			1.12350			0.561750	+	0.827307i	$0.310128\pi$
$882$	−2.38018			−0.0801449
$883$	13.6785	−	23.6919i	0.460319	−	0.797296i	−0.538658	−	0.842525i	$-0.681068\pi$
$883$	13.6785	−	23.6919i	0.460319	−	0.797296i	0.998977	+	0.0452288i	$0.0144017\pi$
$884$	−6.74778	+	11.6875i	−0.226953	+	0.393093i
$885$	3.66951			0.123349
$886$	−10.4505			−0.351092
$887$	−8.58172	+	14.8640i	−0.288146	+	0.499084i	−0.973367	−	0.229251i	$-0.926372\pi$
$887$	−8.58172	+	14.8640i	−0.288146	+	0.499084i	0.685221	+	0.728335i	$0.259706\pi$
$888$	−47.2272	−	81.7999i	−1.58484	−	2.74503i
$889$	12.5837	−	21.7957i	0.422045	−	0.731004i
$890$	−6.13090	−	10.6190i	−0.205508	−	0.355951i
$891$	−2.62818	−	4.55213i	−0.0880472	−	0.152502i
$892$	−90.5363			−3.03138
$893$	−16.1494	+	6.01985i	−0.540419	+	0.201447i
$894$	−61.3571			−2.05209
$895$	−10.0762	−	17.4524i	−0.336809	−	0.583370i
$896$	70.9526	+	122.894i	2.37036	+	4.10559i
$897$	−0.200323	+	0.346970i	−0.00668859	+	0.0115850i
$898$	36.6492	+	63.4783i	1.22300	+	2.11830i
$899$	23.9403	−	41.4659i	0.798455	−	1.38296i
$900$	−4.34056			−0.144685
$901$	−41.1136			−1.36969
$902$	−4.78663	+	8.29068i	−0.159377	+	0.276049i
$903$	−4.37381	+	7.57566i	−0.145551	+	0.252102i
$904$	2.92958			0.0974364
$905$	−17.1108			−0.568783
$906$	−44.1489	+	76.4682i	−1.46675	+	2.54049i
$907$	−1.51053	−	2.61631i	−0.0501563	−	0.0868732i	0.839857	−	0.542807i	$-0.182639\pi$
$907$	−1.51053	−	2.61631i	−0.0501563	−	0.0868732i	−0.890014	+	0.455934i	$0.849305\pi$
$908$	−73.7797	+	127.790i	−2.44847	+	4.24087i
$909$	−2.05002	−	3.55074i	−0.0679948	−	0.117770i
$910$	2.52700	+	4.37689i	0.0837691	+	0.145092i
$911$	−19.5682			−0.648324			−0.324162	−	0.946002i	$-0.605082\pi$
$911$	−19.5682			−0.648324			−0.324162	+	0.946002i	$0.605082\pi$
$912$	98.8449	−	36.8454i	3.27308	−	1.22007i
$913$	6.43336			0.212913
$914$	45.7173	+	79.1847i	1.51219	+	2.61920i
$915$	−4.72550	−	8.18480i	−0.156220	−	0.270581i
$916$	37.3749	−	64.7353i	1.23490	−	2.13891i
$917$	29.7864	+	51.5916i	0.983635	+	1.70371i
$918$	29.0550	−	50.3248i	0.958959	−	1.66096i
$919$	−1.81420			−0.0598448			−0.0299224	−	0.999552i	$-0.509526\pi$
$919$	−1.81420			−0.0598448			−0.0299224	+	0.999552i	$0.509526\pi$
$920$	4.15257			0.136906
$921$	−6.59297	+	11.4194i	−0.217246	+	0.376280i
$922$	26.5508	−	45.9874i	0.874406	−	1.51452i
$923$	−1.14641			−0.0377346
$924$	20.6064			0.677901
$925$	−3.18233	+	5.51197i	−0.104635	+	0.181232i
$926$	−54.0175	−	93.5611i	−1.77513	−	3.07461i
$927$	−0.149081	+	0.258217i	−0.00489648	+	0.00848095i
$928$	120.559	+	208.814i	3.95753	+	6.85465i
$929$	11.2377	+	19.4643i	0.368698	+	0.638603i	0.989362	−	0.145473i	$-0.0464705\pi$
$929$	11.2377	+	19.4643i	0.368698	+	0.638603i	−0.620665	+	0.784076i	$0.713137\pi$
$930$	20.3000			0.665664
$931$	−3.74628	−	3.09442i	−0.122780	−	0.101415i
$932$	141.901			4.64813
$933$	0.485987	+	0.841755i	0.0159105	+	0.0275578i
$934$	53.8710	+	93.3072i	1.76271	+	3.05311i
$935$	1.61798	−	2.80242i	0.0529136	−	0.0916490i
$936$	2.47693	+	4.29017i	0.0809610	+	0.140229i
$937$	−27.5193	+	47.6647i	−0.899015	+	1.55714i	−0.0702593	+	0.997529i	$0.522383\pi$
$937$	−27.5193	+	47.6647i	−0.899015	+	1.55714i	−0.828756	+	0.559611i	$0.810951\pi$
$938$	19.8944			0.649576
$939$	−4.42437			−0.144384
$940$	11.0842	−	19.1985i	0.361528	−	0.626185i
$941$	6.09781	−	10.5617i	0.198783	−	0.344302i	−0.749351	−	0.662173i	$-0.769635\pi$
$941$	6.09781	−	10.5617i	0.198783	−	0.344302i	0.948134	+	0.317871i	$0.102968\pi$
$942$	−10.0036			−0.325937
$943$	−1.67557			−0.0545640
$944$	−19.9488	+	34.5524i	−0.649279	+	1.12458i
$945$	−8.02001	−	13.8911i	−0.260891	−	0.451876i
$946$	−2.45465	+	4.25159i	−0.0798077	+	0.138231i
$947$	−15.2153	−	26.3537i	−0.494432	−	0.856381i	0.505548	−	0.862799i	$-0.331290\pi$
$947$	−15.2153	−	26.3537i	−0.494432	−	0.856381i	−0.999979	+	0.00641783i	$0.997957\pi$
$948$	−7.63077	−	13.2169i	−0.247836	−	0.429264i
$949$	−4.58717			−0.148906
$950$	−9.26885	−	7.65603i	−0.300721	−	0.248395i
$951$	−15.4859			−0.502164
$952$	53.0146	+	91.8239i	1.71821	+	2.97603i
$953$	−7.86891	−	13.6293i	−0.254899	−	0.441498i	0.709969	−	0.704233i	$-0.248709\pi$
$953$	−7.86891	−	13.6293i	−0.254899	−	0.441498i	−0.964868	+	0.262735i	$0.915376\pi$
$954$	−11.7302	+	20.3174i	−0.379780	+	0.657799i
$955$	−2.64040	−	4.57330i	−0.0854413	−	0.147989i
$956$	66.0182	−	114.347i	2.13518	−	3.69824i
$957$	12.5218			0.404772
$958$	−68.2748			−2.20586
$959$	7.42750	−	12.8648i	0.239846	−	0.415426i
$960$	−26.9126	+	46.6140i	−0.868600	+	1.50446i
$961$	−6.66065			−0.214860
$962$	11.2921			0.364071
$963$	−2.49029	+	4.31331i	−0.0802484	+	0.138994i
$964$	−23.5035	−	40.7093i	−0.756997	−	1.31116i
$965$	−9.00182	+	15.5916i	−0.289779	+	0.501912i
$966$	2.44661	+	4.23765i	0.0787183	+	0.136344i
$967$	−15.3186	−	26.5326i	−0.492614	−	0.853232i	0.507350	−	0.861740i	$-0.330625\pi$
$967$	−15.3186	−	26.5326i	−0.492614	−	0.853232i	−0.999964	+	0.00850791i	$0.997292\pi$
$968$	−101.980			−3.27776
$969$	22.8011	−	8.49934i	0.732478	−	0.273038i
$970$	−29.9359			−0.961184
$971$	−8.23824	−	14.2690i	−0.264378	−	0.457915i	0.703023	−	0.711167i	$-0.251833\pi$
$971$	−8.23824	−	14.2690i	−0.264378	−	0.457915i	−0.967400	+	0.253252i	$0.918500\pi$
$972$	−21.9340	−	37.9907i	−0.703532	−	1.21855i
$973$	−15.2742	+	26.4556i	−0.489667	+	0.848128i
$974$	−30.1824	−	52.2775i	−0.967108	−	1.67508i
$975$	−0.479861	+	0.831144i	−0.0153679	+	0.0266179i
$976$	102.758			3.28921
$977$	−2.77995			−0.0889383			−0.0444692	−	0.999011i	$-0.514160\pi$
$977$	−2.77995			−0.0889383			−0.0444692	+	0.999011i	$0.514160\pi$
$978$	−36.6572	+	63.4921i	−1.17217	+	2.03025i
$979$	1.92240	−	3.32969i	0.0614401	−	0.106417i
$980$	6.24993			0.199647
$981$	−5.08545			−0.162366
$982$	−12.9565	+	22.4413i	−0.413459	+	0.716132i
$983$	0.855856	+	1.48239i	0.0272976	+	0.0472808i	0.879351	−	0.476173i	$-0.157977\pi$
$983$	0.855856	+	1.48239i	0.0272976	+	0.0472808i	−0.852054	+	0.523454i	$0.824643\pi$
$984$	29.7826	−	51.5850i	0.949436	−	1.64447i
$985$	−4.03892	−	6.99562i	−0.128691	−	0.222899i
$986$	50.0794	+	86.7401i	1.59485	+	2.76237i
$987$	16.8041			0.534879
$988$	−2.61003	+	15.5029i	−0.0830360	+	0.493212i
$989$	−0.859257			−0.0273228
$990$	−0.923261	−	1.59913i	−0.0293432	−	0.0508238i
$991$	4.83711	+	8.37811i	0.153656	+	0.266140i	0.932569	−	0.360992i	$-0.117562\pi$
$991$	4.83711	+	8.37811i	0.153656	+	0.266140i	−0.778913	+	0.627132i	$0.784229\pi$
$992$	−61.2840	+	106.147i	−1.94577	+	3.37017i
$993$	−11.2582	−	19.4997i	−0.357267	−	0.618805i
$994$	−7.00073	+	12.1256i	−0.222050	+	0.384601i
$995$	1.40374			0.0445017
$996$	−62.2259			−1.97170
$997$	−11.3656	+	19.6857i	−0.359951	+	0.623454i	−0.987952	−	0.154759i	$-0.950540\pi$
$997$	−11.3656	+	19.6857i	−0.359951	+	0.623454i	0.628001	+	0.778212i	$0.283873\pi$
$998$	−34.3532	+	59.5015i	−1.08743	+	1.88349i
$999$	−35.8380			−1.13386

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.e.c.26.1	yes	8
3.2	odd	2		855.2.k.h.406.4		8
4.3	odd	2		1520.2.q.o.881.3		8
5.2	odd	4		475.2.j.c.349.8		16
5.3	odd	4		475.2.j.c.349.1		16
5.4	even	2		475.2.e.e.26.4		8
19.7	even	3		1805.2.a.o.1.4		4
19.11	even	3	inner	95.2.e.c.11.1	✓	8
19.12	odd	6		1805.2.a.i.1.1		4
57.11	odd	6		855.2.k.h.676.4		8
76.11	odd	6		1520.2.q.o.961.3		8
95.49	even	6		475.2.e.e.201.4		8
95.64	even	6		9025.2.a.bg.1.1		4
95.68	odd	12		475.2.j.c.49.8		16
95.69	odd	6		9025.2.a.bp.1.4		4
95.87	odd	12		475.2.j.c.49.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.e.c.11.1	✓	8	19.11	even	3	inner
95.2.e.c.26.1	yes	8	1.1	even	1	trivial
475.2.e.e.26.4		8	5.4	even	2
475.2.e.e.201.4		8	95.49	even	6
475.2.j.c.49.1		16	95.87	odd	12
475.2.j.c.49.8		16	95.68	odd	12
475.2.j.c.349.1		16	5.3	odd	4
475.2.j.c.349.8		16	5.2	odd	4
855.2.k.h.406.4		8	3.2	odd	2
855.2.k.h.676.4		8	57.11	odd	6
1520.2.q.o.881.3		8	4.3	odd	2
1520.2.q.o.961.3		8	76.11	odd	6
1805.2.a.i.1.1		4	19.12	odd	6
1805.2.a.o.1.4		4	19.7	even	3
9025.2.a.bg.1.1		4	95.64	even	6
9025.2.a.bp.1.4		4	95.69	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37901 - 2.38851i) q^{2} +(-0.745959 - 1.29204i) q^{3} +(-2.80333 + 4.85550i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.05737 + 3.56347i) q^{6} -2.84864 q^{7} +9.94721 q^{8} +(0.387090 - 0.670459i) q^{9} +O(q^{10})\)	\(q+(-1.37901 - 2.38851i) q^{2} +(-0.745959 - 1.29204i) q^{3} +(-2.80333 + 4.85550i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.05737 + 3.56347i) q^{6} -2.84864 q^{7} +9.94721 q^{8} +(0.387090 - 0.670459i) q^{9} +(-1.37901 + 2.38851i) q^{10} -0.864801 q^{11} +8.36467 q^{12} +(-0.321640 + 0.557098i) q^{13} +(3.92829 + 6.80401i) q^{14} +(-0.745959 + 1.29204i) q^{15} +(-8.11063 - 14.0480i) q^{16} +(-1.87093 - 3.24054i) q^{17} -2.13520 q^{18} +(-3.36069 - 2.77592i) q^{19} +5.60665 q^{20} +(2.12497 + 3.68055i) q^{21} +(1.19257 + 2.06559i) q^{22} +(-0.208730 + 0.361531i) q^{23} +(-7.42021 - 12.8522i) q^{24} +(-0.500000 + 0.866025i) q^{25} +1.77418 q^{26} -5.63077 q^{27} +(7.98566 - 13.8316i) q^{28} +(4.85261 - 8.40497i) q^{29} +4.11474 q^{30} +4.93349 q^{31} +(-12.4220 + 21.5156i) q^{32} +(0.645106 + 1.11736i) q^{33} +(-5.16005 + 8.93746i) q^{34} +(1.42432 + 2.46699i) q^{35} +(2.17028 + 3.75903i) q^{36} +6.36467 q^{37} +(-1.99589 + 11.8551i) q^{38} +0.959723 q^{39} +(-4.97360 - 8.61454i) q^{40} +(2.00686 + 3.47598i) q^{41} +(5.86069 - 10.1510i) q^{42} +(1.02915 + 1.78254i) q^{43} +(2.42432 - 4.19904i) q^{44} -0.774179 q^{45} +1.15136 q^{46} +(1.97698 - 3.42423i) q^{47} +(-12.1004 + 20.9585i) q^{48} +1.11474 q^{49} +2.75802 q^{50} +(-2.79127 + 4.83462i) q^{51} +(-1.80333 - 3.12345i) q^{52} +(5.49374 - 9.51544i) q^{53} +(7.76487 + 13.4492i) q^{54} +(0.432400 + 0.748939i) q^{55} -28.3360 q^{56} +(-1.07966 + 6.41287i) q^{57} -26.7672 q^{58} +(-1.22980 - 2.13007i) q^{59} +(-4.18233 - 7.24402i) q^{60} +(-3.16740 + 5.48609i) q^{61} +(-6.80333 - 11.7837i) q^{62} +(-1.10268 + 1.90989i) q^{63} +36.0778 q^{64} +0.643281 q^{65} +(1.77921 - 3.08169i) q^{66} +(1.26610 - 2.19295i) q^{67} +20.9793 q^{68} +0.622817 q^{69} +(3.92829 - 6.80401i) q^{70} +(0.891065 + 1.54337i) q^{71} +(3.85046 - 6.66920i) q^{72} +(3.56545 + 6.17554i) q^{73} +(-8.77693 - 15.2021i) q^{74} +1.49192 q^{75} +(22.8996 - 8.53606i) q^{76} +2.46350 q^{77} +(-1.32347 - 2.29231i) q^{78} +(-0.912262 - 1.58008i) q^{79} +(-8.11063 + 14.0480i) q^{80} +(3.03905 + 5.26380i) q^{81} +(5.53495 - 9.58681i) q^{82} -7.43913 q^{83} -23.8279 q^{84} +(-1.87093 + 3.24054i) q^{85} +(2.83841 - 4.91626i) q^{86} -14.4794 q^{87} -8.60235 q^{88} +(-2.22294 + 3.85024i) q^{89} +(1.06760 + 1.84914i) q^{90} +(0.916237 - 1.58697i) q^{91} +(-1.17028 - 2.02698i) q^{92} +(-3.68018 - 6.37427i) q^{93} -10.9051 q^{94} +(-0.723670 + 4.29841i) q^{95} +37.0653 q^{96} +(5.42707 + 9.39996i) q^{97} +(-1.53723 - 2.66256i) q^{98} +(-0.334755 + 0.579813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - q^{2} - 3 q^{3} - 5 q^{4} - 4 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{8} - q^{9}+O(q^{10}) \) 8 * q - q^2 - 3 * q^3 - 5 * q^4 - 4 * q^5 - 2 * q^6 - 8 * q^7 + 24 * q^8 - q^9	\( 8 q - q^{2} - 3 q^{3} - 5 q^{4} - 4 q^{5} - 2 q^{6} - 8 q^{7} + 24 q^{8} - q^{9} - q^{10} - 4 q^{11} + 12 q^{12} - 7 q^{13} + q^{14} - 3 q^{15} - 7 q^{16} + q^{17} - 20 q^{18} + 5 q^{19} + 10 q^{20} + 4 q^{21} - 2 q^{22} - 2 q^{23} - 23 q^{24} - 4 q^{25} + 6 q^{26} + 24 q^{27} + 19 q^{28} + q^{29} + 4 q^{30} - 30 q^{32} - 19 q^{33} - 15 q^{34} + 4 q^{35} + 7 q^{36} - 4 q^{37} + 13 q^{38} + 30 q^{39} - 12 q^{40} + 8 q^{41} + 15 q^{42} - q^{43} + 12 q^{44} + 2 q^{45} + 24 q^{46} + 12 q^{47} - 23 q^{48} - 20 q^{49} + 2 q^{50} - 22 q^{51} + 3 q^{52} + 5 q^{53} + 34 q^{54} + 2 q^{55} - 82 q^{56} + 7 q^{57} - 54 q^{58} + 5 q^{59} - 6 q^{60} - 37 q^{62} + 3 q^{63} + 112 q^{64} + 14 q^{65} + 31 q^{66} - 4 q^{67} + 32 q^{68} - 18 q^{69} + q^{70} - 20 q^{71} - 17 q^{72} + 20 q^{73} - 25 q^{74} + 6 q^{75} + 63 q^{76} + 28 q^{77} + 18 q^{78} - 17 q^{79} - 7 q^{80} - 12 q^{81} - 21 q^{82} + 2 q^{83} - 40 q^{84} + q^{85} - 8 q^{86} - 32 q^{87} - 14 q^{88} - 11 q^{89} + 10 q^{90} - 6 q^{91} + q^{92} + 8 q^{93} - 62 q^{94} - 4 q^{95} + 42 q^{96} - q^{97} - 9 q^{98} - 38 q^{99}+O(q^{100}) \) 8 * q - q^2 - 3 * q^3 - 5 * q^4 - 4 * q^5 - 2 * q^6 - 8 * q^7 + 24 * q^8 - q^9 - q^10 - 4 * q^11 + 12 * q^12 - 7 * q^13 + q^14 - 3 * q^15 - 7 * q^16 + q^17 - 20 * q^18 + 5 * q^19 + 10 * q^20 + 4 * q^21 - 2 * q^22 - 2 * q^23 - 23 * q^24 - 4 * q^25 + 6 * q^26 + 24 * q^27 + 19 * q^28 + q^29 + 4 * q^30 - 30 * q^32 - 19 * q^33 - 15 * q^34 + 4 * q^35 + 7 * q^36 - 4 * q^37 + 13 * q^38 + 30 * q^39 - 12 * q^40 + 8 * q^41 + 15 * q^42 - q^43 + 12 * q^44 + 2 * q^45 + 24 * q^46 + 12 * q^47 - 23 * q^48 - 20 * q^49 + 2 * q^50 - 22 * q^51 + 3 * q^52 + 5 * q^53 + 34 * q^54 + 2 * q^55 - 82 * q^56 + 7 * q^57 - 54 * q^58 + 5 * q^59 - 6 * q^60 - 37 * q^62 + 3 * q^63 + 112 * q^64 + 14 * q^65 + 31 * q^66 - 4 * q^67 + 32 * q^68 - 18 * q^69 + q^70 - 20 * q^71 - 17 * q^72 + 20 * q^73 - 25 * q^74 + 6 * q^75 + 63 * q^76 + 28 * q^77 + 18 * q^78 - 17 * q^79 - 7 * q^80 - 12 * q^81 - 21 * q^82 + 2 * q^83 - 40 * q^84 + q^85 - 8 * q^86 - 32 * q^87 - 14 * q^88 - 11 * q^89 + 10 * q^90 - 6 * q^91 + q^92 + 8 * q^93 - 62 * q^94 - 4 * q^95 + 42 * q^96 - q^97 - 9 * q^98 - 38 * q^99

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