LMFDB - Embedded newform 95.2.e.c.11.3

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			11.3
Root			$-1.02359 + 1.77290i$ of defining polynomial
Character	$\chi$	$=$	95.11
Dual form			95.2.e.c.26.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.595455 - 1.03136i) q^{2} +(-1.52359 + 2.63893i) q^{3} +(0.290867 + 0.503797i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(1.81445 + 3.14272i) q^{6} -0.609175 q^{7} +3.07461 q^{8} +(-3.14263 - 5.44319i) q^{9} +O(q^{10})$	\(q+(0.595455 - 1.03136i) q^{2} +(-1.52359 + 2.63893i) q^{3} +(0.290867 + 0.503797i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(1.81445 + 3.14272i) q^{6} -0.609175 q^{7} +3.07461 q^{8} +(-3.14263 - 5.44319i) q^{9} +(0.595455 + 1.03136i) q^{10} +4.48517 q^{11} -1.77264 q^{12} +(-2.21900 - 3.84342i) q^{13} +(-0.362736 + 0.628278i) q^{14} +(-1.52359 - 2.63893i) q^{15} +(1.24906 - 2.16343i) q^{16} +(-1.45172 + 2.51445i) q^{17} -7.48517 q^{18} +(3.60532 - 2.44983i) q^{19} -0.581734 q^{20} +(0.928131 - 1.60757i) q^{21} +(2.67071 - 4.62581i) q^{22} +(1.42363 + 2.46580i) q^{23} +(-4.68443 + 8.11368i) q^{24} +(-0.500000 - 0.866025i) q^{25} -5.28525 q^{26} +10.0107 q^{27} +(-0.177189 - 0.306901i) q^{28} +(-0.558149 - 0.966742i) q^{29} -3.62891 q^{30} -6.22908 q^{31} +(1.58710 + 2.74893i) q^{32} +(-6.83354 + 11.8360i) q^{33} +(1.72886 + 2.99448i) q^{34} +(0.304588 - 0.527561i) q^{35} +(1.82817 - 3.16649i) q^{36} -3.77264 q^{37} +(-0.379847 - 5.17714i) q^{38} +13.5233 q^{39} +(-1.53731 + 2.66269i) q^{40} +(4.15184 - 7.19120i) q^{41} +(-1.10532 - 1.91447i) q^{42} +(4.99438 - 8.65053i) q^{43} +(1.30459 + 2.25961i) q^{44} +6.28525 q^{45} +3.39082 q^{46} +(2.94250 + 5.09656i) q^{47} +(3.80609 + 6.59235i) q^{48} -6.62891 q^{49} -1.19091 q^{50} +(-4.42363 - 7.66195i) q^{51} +(1.29087 - 2.23585i) q^{52} +(-4.22436 - 7.31681i) q^{53} +(5.96093 - 10.3246i) q^{54} +(-2.24258 + 3.88427i) q^{55} -1.87298 q^{56} +(0.971912 + 13.2467i) q^{57} -1.32941 q^{58} +(-5.11793 + 8.86451i) q^{59} +(0.886322 - 1.53515i) q^{60} +(2.49099 + 4.31453i) q^{61} +(-3.70913 + 6.42441i) q^{62} +(1.91441 + 3.31586i) q^{63} +8.77641 q^{64} +4.43800 q^{65} +(8.13812 + 14.0956i) q^{66} +(-4.23808 - 7.34057i) q^{67} -1.68903 q^{68} -8.67608 q^{69} +(-0.362736 - 0.628278i) q^{70} +(-5.80995 + 10.0631i) q^{71} +(-9.66236 - 16.7357i) q^{72} +(-1.86162 + 3.22443i) q^{73} +(-2.24644 + 3.89095i) q^{74} +3.04717 q^{75} +(2.28289 + 1.10377i) q^{76} -2.73225 q^{77} +(8.05253 - 13.9474i) q^{78} +(-4.51908 + 7.82728i) q^{79} +(1.24906 + 2.16343i) q^{80} +(-5.82432 + 10.0880i) q^{81} +(-4.94447 - 8.56407i) q^{82} -2.12178 q^{83} +1.07985 q^{84} +(-1.45172 - 2.51445i) q^{85} +(-5.94786 - 10.3020i) q^{86} +3.40155 q^{87} +13.7901 q^{88} +(-3.96608 - 6.86946i) q^{89} +(3.74258 - 6.48234i) q^{90} +(1.35176 + 2.34131i) q^{91} +(-0.828173 + 1.43444i) q^{92} +(9.49053 - 16.4381i) q^{93} +7.00850 q^{94} +(0.318955 + 4.34721i) q^{95} -9.67231 q^{96} +(4.83628 - 8.37668i) q^{97} +(-3.94721 + 6.83677i) q^{98} +(-14.0952 - 24.4136i) 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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$

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 $

$2$	0.595455	−	1.03136i	0.421050	−	0.729280i	−0.574992	−	0.818159i	$-0.694995\pi$
$2$	0.595455	−	1.03136i	0.421050	−	0.729280i	0.996042	+	0.0888786i	$0.0283283\pi$
$3$	−1.52359	+	2.63893i	−0.879643	+	1.52359i	−0.0279089	+	0.999610i	$0.508885\pi$
$3$	−1.52359	+	2.63893i	−0.879643	+	1.52359i	−0.851734	+	0.523975i	$0.824448\pi$
$4$	0.290867	+	0.503797i	0.145434	+	0.251898i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$6$	1.81445	+	3.14272i	0.740747	+	1.28301i
$7$	−0.609175			−0.230247			−0.115123	−	0.993351i	$-0.536726\pi$
$7$	−0.609175			−0.230247			−0.115123	+	0.993351i	$0.536726\pi$
$8$	3.07461			1.08704
$9$	−3.14263	−	5.44319i	−1.04754	−	1.81440i
$10$	0.595455	+	1.03136i	0.188299	+	0.326144i
$11$	4.48517			1.35233			0.676164	−	0.736751i	$-0.263641\pi$
$11$	4.48517			1.35233			0.676164	+	0.736751i	$0.263641\pi$
$12$	−1.77264			−0.511718
$13$	−2.21900	−	3.84342i	−0.615439	−	1.06597i	−0.990307	−	0.138894i	$-0.955645\pi$
$13$	−2.21900	−	3.84342i	−0.615439	−	1.06597i	0.374868	−	0.927078i	$-0.377688\pi$
$14$	−0.362736	+	0.628278i	−0.0969454	+	0.167914i
$15$	−1.52359	−	2.63893i	−0.393388	−	0.681368i
$16$	1.24906	−	2.16343i	0.312265	−	0.540858i
$17$	−1.45172	+	2.51445i	−0.352093	+	0.609843i	−0.986616	−	0.163061i	$-0.947863\pi$
$17$	−1.45172	+	2.51445i	−0.352093	+	0.609843i	0.634523	+	0.772904i	$0.281197\pi$
$18$	−7.48517			−1.76427
$19$	3.60532	−	2.44983i	0.827117	−	0.562030i
$19$	3.60532	−	2.44983i	0.827117	−	0.562030i
$20$	−0.581734			−0.130080
$21$	0.928131	−	1.60757i	0.202535	−	0.350800i
$22$	2.67071	−	4.62581i	0.569398	−	0.986227i
$23$	1.42363	+	2.46580i	0.296847	+	0.514154i	0.975413	−	0.220386i	$-0.0707315\pi$
$23$	1.42363	+	2.46580i	0.296847	+	0.514154i	−0.678566	+	0.734540i	$0.737398\pi$
$24$	−4.68443	+	8.11368i	−0.956206	+	1.65620i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−5.28525			−1.03652
$27$	10.0107			1.92656
$28$	−0.177189	−	0.306901i	−0.0334856	−	0.0579987i
$29$	−0.558149	−	0.966742i	−0.103646	−	0.179519i	0.809538	−	0.587067i	$-0.199717\pi$
$29$	−0.558149	−	0.966742i	−0.103646	−	0.179519i	−0.913184	+	0.407547i	$0.866384\pi$
$30$	−3.62891			−0.662544
$31$	−6.22908			−1.11877			−0.559387	−	0.828906i	$-0.688964\pi$
$31$	−6.22908			−1.11877			−0.559387	+	0.828906i	$0.688964\pi$
$32$	1.58710	+	2.74893i	0.280562	+	0.485947i
$33$	−6.83354	+	11.8360i	−1.18957	+	2.06039i
$34$	1.72886	+	2.99448i	0.296498	+	0.513549i
$35$	0.304588	−	0.527561i	0.0514847	−	0.0891741i
$36$	1.82817	−	3.16649i	0.304696	−	0.527748i
$37$	−3.77264			−0.620219			−0.310109	−	0.950701i	$-0.600366\pi$
$37$	−3.77264			−0.620219			−0.310109	+	0.950701i	$0.600366\pi$
$38$	−0.379847	−	5.17714i	−0.0616193	−	0.839843i
$39$	13.5233			2.16547
$40$	−1.53731	+	2.66269i	−0.243069	+	0.421009i
$41$	4.15184	−	7.19120i	0.648409	−	1.12308i	−0.335094	−	0.942185i	$-0.608768\pi$
$41$	4.15184	−	7.19120i	0.648409	−	1.12308i	0.983503	−	0.180893i	$-0.0578987\pi$
$42$	−1.10532	−	1.91447i	−0.170555	−	0.295409i
$43$	4.99438	−	8.65053i	0.761637	−	1.31919i	−0.180370	−	0.983599i	$-0.557730\pi$
$43$	4.99438	−	8.65053i	0.761637	−	1.31919i	0.942007	−	0.335594i	$-0.108937\pi$
$44$	1.30459	+	2.25961i	0.196674	+	0.340649i
$45$	6.28525			0.936950
$46$	3.39082			0.499950
$47$	2.94250	+	5.09656i	0.429208	+	0.743409i	0.996803	−	0.0798983i	$-0.0254596\pi$
$47$	2.94250	+	5.09656i	0.429208	+	0.743409i	−0.567595	+	0.823308i	$0.692126\pi$
$48$	3.80609	+	6.59235i	0.549362	+	0.951524i
$49$	−6.62891			−0.946986
$50$	−1.19091			−0.168420
$51$	−4.42363	−	7.66195i	−0.619432	−	1.07289i
$52$	1.29087	−	2.23585i	0.179011	−	0.310056i
$53$	−4.22436	−	7.31681i	−0.580261	−	1.00504i	−0.995448	−	0.0953049i	$-0.969617\pi$
$53$	−4.22436	−	7.31681i	−0.580261	−	1.00504i	0.415188	−	0.909736i	$-0.363716\pi$
$54$	5.96093	−	10.3246i	0.811180	−	1.40501i
$55$	−2.24258	+	3.88427i	−0.302390	+	0.523755i
$56$	−1.87298			−0.250287
$57$	0.971912	+	13.2467i	0.128733	+	1.75457i
$58$	−1.32941			−0.174560
$59$	−5.11793	+	8.86451i	−0.666297	+	1.15406i	0.312634	+	0.949874i	$0.398789\pi$
$59$	−5.11793	+	8.86451i	−0.666297	+	1.15406i	−0.978932	+	0.204187i	$0.934545\pi$
$60$	0.886322	−	1.53515i	0.114424	−	0.198188i
$61$	2.49099	+	4.31453i	0.318939	+	0.552419i	0.980267	−	0.197678i	$-0.0633401\pi$
$61$	2.49099	+	4.31453i	0.318939	+	0.552419i	−0.661328	+	0.750097i	$0.730007\pi$
$62$	−3.70913	+	6.42441i	−0.471060	+	0.815900i
$63$	1.91441	+	3.31586i	0.241193	+	0.417759i
$64$	8.77641			1.09705
$65$	4.43800			0.550466
$66$	8.13812	+	14.0956i	1.00173	+	1.73505i
$67$	−4.23808	−	7.34057i	−0.517764	−	0.896794i	−0.999787	−	0.0206350i	$-0.993431\pi$
$67$	−4.23808	−	7.34057i	−0.517764	−	0.896794i	0.482023	−	0.876159i	$-0.339902\pi$
$68$	−1.68903			−0.204825
$69$	−8.67608			−1.04448
$70$	−0.362736	−	0.628278i	−0.0433553	−	0.0750936i
$71$	−5.80995	+	10.0631i	−0.689514	+	1.19427i	0.282481	+	0.959273i	$0.408843\pi$
$71$	−5.80995	+	10.0631i	−0.689514	+	1.19427i	−0.971995	+	0.235001i	$0.924491\pi$
$72$	−9.66236	−	16.7357i	−1.13872	−	1.97232i
$73$	−1.86162	+	3.22443i	−0.217887	+	0.377391i	−0.954162	−	0.299292i	$-0.903250\pi$
$73$	−1.86162	+	3.22443i	−0.217887	+	0.377391i	0.736275	+	0.676682i	$0.236583\pi$
$74$	−2.24644	+	3.89095i	−0.261143	+	0.452313i
$75$	3.04717			0.351857
$76$	2.28289	+	1.10377i	0.261865	+	0.126611i
$77$	−2.73225			−0.311369
$78$	8.05253	−	13.9474i	0.911770	−	1.57923i
$79$	−4.51908	+	7.82728i	−0.508437	+	0.880638i	0.491516	+	0.870869i	$0.336443\pi$
$79$	−4.51908	+	7.82728i	−0.508437	+	0.880638i	−0.999952	+	0.00976923i	$0.996890\pi$
$80$	1.24906	+	2.16343i	0.139649	+	0.241879i
$81$	−5.82432	+	10.0880i	−0.647146	+	1.12089i
$82$	−4.94447	−	8.56407i	−0.546025	−	0.945744i
$83$	−2.12178			−0.232896			−0.116448	−	0.993197i	$-0.537151\pi$
$83$	−2.12178			−0.232896			−0.116448	+	0.993197i	$0.537151\pi$
$84$	1.07985			0.117821
$85$	−1.45172	−	2.51445i	−0.157461	−	0.272730i
$86$	−5.94786	−	10.3020i	−0.641374	−	1.11089i
$87$	3.40155			0.364684
$88$	13.7901			1.47003
$89$	−3.96608	−	6.86946i	−0.420404	−	0.728161i	0.575575	−	0.817749i	$-0.304778\pi$
$89$	−3.96608	−	6.86946i	−0.420404	−	0.728161i	−0.995979	+	0.0895879i	$0.971445\pi$
$90$	3.74258	−	6.48234i	0.394503	−	0.683299i
$91$	1.35176	+	2.34131i	0.141703	+	0.245436i
$92$	−0.828173	+	1.43444i	−0.0863430	+	0.149551i
$93$	9.49053	−	16.4381i	0.984122	−	1.70455i
$94$	7.00850			0.722872
$95$	0.318955	+	4.34721i	0.0327241	+	0.446015i
$96$	−9.67231			−0.987176
$97$	4.83628	−	8.37668i	0.491050	−	0.850523i	−0.508897	−	0.860827i	$-0.669947\pi$
$97$	4.83628	−	8.37668i	0.491050	−	0.850523i	0.999947	+	0.0103043i	$0.00328001\pi$
$98$	−3.94721	+	6.83677i	−0.398729	+	0.690619i
$99$	−14.0952	−	24.4136i	−1.41662	−	2.45366i
$100$	0.290867	−	0.503797i	0.0290867	−	0.0503797i
$101$	0.485632	+	0.841140i	0.0483222	+	0.0836965i	0.889175	−	0.457568i	$-0.151279\pi$
$101$	0.485632	+	0.841140i	0.0483222	+	0.0836965i	−0.840853	+	0.541264i	$0.817946\pi$
$102$	−10.5363			−1.04325
$103$	−3.34143			−0.329241			−0.164620	−	0.986357i	$-0.552640\pi$
$103$	−3.34143			−0.329241			−0.164620	+	0.986357i	$0.552640\pi$
$104$	−6.82256	−	11.8170i	−0.669007	−	1.15875i
$105$	0.928131	+	1.60757i	0.0905763	+	0.156883i
$106$	−10.0617			−0.977275
$107$	9.51655			0.920000			0.460000	−	0.887919i	$-0.347849\pi$
$107$	9.51655			0.920000			0.460000	+	0.887919i	$0.347849\pi$
$108$	2.91179	+	5.04337i	0.280187	+	0.485298i
$109$	−2.77178	+	4.80087i	−0.265489	+	0.459840i	−0.967692	−	0.252137i	$-0.918867\pi$
$109$	−2.77178	+	4.80087i	−0.265489	+	0.459840i	0.702203	+	0.711977i	$0.252200\pi$
$110$	2.67071	+	4.62581i	0.254643	+	0.441054i
$111$	5.74795	−	9.95573i	0.545571	−	0.944956i
$112$	−0.760896	+	1.31791i	−0.0718979	+	0.124531i
$113$	1.54134			0.144997			0.0724987	−	0.997369i	$-0.476903\pi$
$113$	1.54134			0.144997			0.0724987	+	0.997369i	$0.476903\pi$
$114$	14.2408	+	6.88542i	1.33378	+	0.644879i
$115$	−2.84726			−0.265508
$116$	0.324694	−	0.562387i	0.0301471	−	0.0522163i
$117$	−13.9470	+	24.1568i	−1.28940	+	2.23330i
$118$	6.09499	+	10.5568i	0.561089	+	0.971835i
$119$	0.884350	−	1.53174i	0.0810682	−	0.140414i
$120$	−4.68443	−	8.11368i	−0.427628	−	0.740674i
$121$	9.11672			0.828793
$122$	5.93310			0.537158
$123$	12.6514	+	21.9128i	1.14074	+	1.97581i
$124$	−1.81183	−	3.13819i	−0.162707	−	0.281818i
$125$	1.00000			0.0894427
$126$	4.55978			0.406217
$127$	−1.15274	−	1.99661i	−0.102289	−	0.177171i	0.810338	−	0.585963i	$-0.199283\pi$
$127$	−1.15274	−	1.99661i	−0.102289	−	0.177171i	−0.912628	+	0.408792i	$0.865950\pi$
$128$	2.05176	−	3.55376i	0.181352	−	0.314111i
$129$	15.2187	+	26.3596i	1.33994	+	2.32084i
$130$	2.64263	−	4.57716i	0.231774	−	0.401444i
$131$	6.45905	−	11.1874i	0.564330	−	0.977448i	−0.432782	−	0.901499i	$-0.642468\pi$
$131$	6.45905	−	11.1874i	0.564330	−	0.977448i	0.997112	−	0.0759493i	$-0.0241987\pi$
$132$	−7.95060			−0.692011
$133$	−2.19627	+	1.49238i	−0.190441	+	0.129405i
$134$	−10.0943			−0.872018
$135$	−5.00536	+	8.66954i	−0.430793	+	0.746155i
$136$	−4.46346	+	7.73095i	−0.382739	+	0.662923i
$137$	6.36677	+	11.0276i	0.543950	+	0.942149i	0.998672	+	0.0515159i	$0.0164053\pi$
$137$	6.36677	+	11.0276i	0.543950	+	0.942149i	−0.454722	+	0.890633i	$0.650261\pi$
$138$	−5.16621	+	8.94814i	−0.439777	+	0.761716i
$139$	−5.30433	−	9.18738i	−0.449908	−	0.779263i	0.548472	−	0.836169i	$-0.315210\pi$
$139$	−5.30433	−	9.18738i	−0.449908	−	0.779263i	−0.998380	+	0.0569059i	$0.981876\pi$
$140$	0.354378			0.0299504
$141$	−17.9326			−1.51020
$142$	6.91913	+	11.9843i	0.580640	+	1.00570i
$143$	−9.95258	−	17.2384i	−0.832276	−	1.44154i
$144$	−15.7013			−1.30844
$145$	1.11630			0.0927035
$146$	2.21703	+	3.84000i	0.183482	+	0.317801i
$147$	10.0997	−	17.4932i	0.833010	−	1.44281i
$148$	−1.09734	−	1.90065i	−0.0902006	−	0.156232i
$149$	−1.88653	+	3.26757i	−0.154551	+	0.267690i	−0.932895	−	0.360147i	$-0.882726\pi$
$149$	−1.88653	+	3.26757i	−0.154551	+	0.267690i	0.778344	+	0.627837i	$0.216060\pi$
$150$	1.81445	−	3.14272i	0.148149	−	0.256602i
$151$	−9.51562			−0.774370			−0.387185	−	0.922002i	$-0.626553\pi$
$151$	−9.51562			−0.774370			−0.387185	+	0.922002i	$0.626553\pi$
$152$	11.0850	−	7.53228i	0.899109	−	0.610948i
$153$	18.2488			1.47533
$154$	−1.62693	+	2.81793i	−0.131102	+	0.227075i
$155$	3.11454	−	5.39454i	0.250166	−	0.433300i
$156$	3.93349	+	6.81301i	0.314931	+	0.545477i
$157$	1.72822	−	2.99336i	0.137927	−	0.238896i	−0.788785	−	0.614669i	$-0.789290\pi$
$157$	1.72822	−	2.99336i	0.137927	−	0.238896i	0.926712	+	0.375773i	$0.122623\pi$
$158$	5.38182	+	9.32158i	0.428155	+	0.741585i
$159$	25.7447			2.04169
$160$	−3.17419			−0.250942
$161$	−0.867239	−	1.50210i	−0.0683480	−	0.118382i
$162$	6.93624	+	12.0139i	0.544962	+	0.943902i
$163$	6.65283			0.521090			0.260545	−	0.965462i	$-0.416098\pi$
$163$	6.65283			0.521090			0.260545	+	0.965462i	$0.416098\pi$
$164$	4.83054			0.377202
$165$	−6.83354	−	11.8360i	−0.531990	−	0.921434i
$166$	−1.26343	+	2.18832i	−0.0980609	+	0.169846i
$167$	8.22775	+	14.2509i	0.636682	+	1.10277i	0.986156	+	0.165820i	$0.0530271\pi$
$167$	8.22775	+	14.2509i	0.636682	+	1.10277i	−0.349474	+	0.936946i	$0.613640\pi$
$168$	2.85364	−	4.94265i	0.220163	−	0.381334i
$169$	−3.34790	+	5.79874i	−0.257531	+	0.446057i
$170$	−3.45773			−0.265195
$171$	−24.6651	−	11.9255i	−1.88618	−	0.911968i
$172$	5.81081			0.443070
$173$	11.3912	−	19.7302i	0.866058	−	1.50006i	6.58713e−5	−	1.00000i	$-0.499979\pi$
$173$	11.3912	−	19.7302i	0.866058	−	1.50006i	0.865992	−	0.500057i	$-0.166688\pi$
$174$	2.02547	−	3.50822i	0.153550	−	0.265957i
$175$	0.304588	+	0.527561i	0.0230247	+	0.0398799i
$176$	5.60224	−	9.70336i	0.422284	−	0.731418i
$177$	−15.5952	−	27.0117i	−1.17221	−	2.03032i
$178$	−9.44650			−0.708045
$179$	−2.32916			−0.174090			−0.0870449	−	0.996204i	$-0.527742\pi$
$179$	−2.32916			−0.174090			−0.0870449	+	0.996204i	$0.527742\pi$
$180$	1.82817	+	3.16649i	0.136264	+	0.236016i
$181$	11.1696	+	19.3463i	0.830230	+	1.43800i	0.897856	+	0.440290i	$0.145124\pi$
$181$	11.1696	+	19.3463i	0.830230	+	1.43800i	−0.0676258	+	0.997711i	$0.521542\pi$
$182$	3.21965			0.238656
$183$	−15.1810			−1.12221
$184$	4.37710	+	7.58137i	0.322684	+	0.558906i
$185$	1.88632	−	3.26721i	0.138685	−	0.240210i
$186$	−11.3024	−	19.5763i	−0.828729	−	1.43540i
$187$	−6.51119	+	11.2777i	−0.476145	+	0.824708i
$188$	−1.71175	+	2.96484i	−0.124842	+	0.216233i
$189$	−6.09829			−0.443585
$190$	4.67346	+	2.25961i	0.339048	+	0.163929i
$191$	2.23766			0.161911			0.0809556	−	0.996718i	$-0.474203\pi$
$191$	2.23766			0.161911			0.0809556	+	0.996718i	$0.474203\pi$
$192$	−13.3716	+	23.1603i	−0.965013	+	1.67145i
$193$	2.27153	−	3.93441i	0.163508	−	0.283205i	−0.772616	−	0.634873i	$-0.781052\pi$
$193$	2.27153	−	3.93441i	0.163508	−	0.283205i	0.936125	+	0.351669i	$0.114386\pi$
$194$	−5.75957	−	9.97587i	−0.413513	−	0.716226i
$195$	−6.76167	+	11.7115i	−0.484213	+	0.838681i
$196$	−1.92813	−	3.33962i	−0.137724	−	0.238544i
$197$	−19.2236			−1.36962			−0.684812	−	0.728720i	$-0.740116\pi$
$197$	−19.2236			−1.36962			−0.684812	+	0.728720i	$0.740116\pi$
$198$	−33.5722			−2.38587
$199$	3.07547	+	5.32687i	0.218014	+	0.377612i	0.954201	−	0.299167i	$-0.0967087\pi$
$199$	3.07547	+	5.32687i	0.218014	+	0.377612i	−0.736186	+	0.676779i	$0.763375\pi$
$200$	−1.53731	−	2.66269i	−0.108704	−	0.188281i
$201$	25.8283			1.82179
$202$	1.15669			0.0813843
$203$	0.340010	+	0.588915i	0.0238641	+	0.0413338i
$204$	2.57338	−	4.45722i	0.180172	−	0.312068i
$205$	4.15184	+	7.19120i	0.289977	+	0.502255i
$206$	−1.98967	+	3.44621i	−0.138627	+	0.240109i
$207$	8.94786	−	15.4981i	0.621919	−	1.07720i
$208$	−11.0866			−0.768720
$209$	16.1705	−	10.9879i	1.11853	−	0.760049i
$210$	2.21064			0.152549
$211$	−6.34661	+	10.9926i	−0.436919	+	0.756765i	−0.997450	−	0.0713679i	$-0.977264\pi$
$211$	−6.34661	+	10.9926i	−0.436919	+	0.756765i	0.560531	+	0.828133i	$0.310597\pi$
$212$	2.45746	−	4.25644i	0.168779	−	0.292333i
$213$	−17.7039	−	30.6641i	−1.21305	−	2.10107i
$214$	5.66668	−	9.81497i	0.387366	−	0.670938i
$215$	4.99438	+	8.65053i	0.340614	+	0.589961i
$216$	30.7791			2.09425
$217$	3.79460			0.257594
$218$	3.30094	+	5.71740i	0.223568	+	0.387231i
$219$	−5.67269	−	9.82538i	−0.383325	−	0.663938i
$220$	−2.60918			−0.175911
$221$	12.8854			0.866767
$222$	−6.84528	−	11.8564i	−0.459425	−	0.795748i
$223$	−11.2688	+	19.5181i	−0.754614	+	1.30703i	0.190952	+	0.981599i	$0.438842\pi$
$223$	−11.2688	+	19.5181i	−0.754614	+	1.30703i	−0.945566	+	0.325430i	$0.894491\pi$
$224$	−0.966820	−	1.67458i	−0.0645984	−	0.111888i
$225$	−3.14263	+	5.44319i	−0.209508	+	0.362879i
$226$	0.917800	−	1.58968i	0.0610512	−	0.105744i
$227$	18.1124			1.20216			0.601080	−	0.799189i	$-0.294737\pi$
$227$	18.1124			1.20216			0.601080	+	0.799189i	$0.294737\pi$
$228$	−6.39095	+	4.34268i	−0.423251	+	0.287601i
$229$	−9.41604			−0.622229			−0.311115	−	0.950372i	$-0.600702\pi$
$229$	−9.41604			−0.622229			−0.311115	+	0.950372i	$0.600702\pi$
$230$	−1.69541	+	2.93654i	−0.111792	+	0.193630i
$231$	4.16282	−	7.21022i	0.273894	−	0.474398i
$232$	−1.71609	−	2.97236i	−0.112667	−	0.195145i
$233$	−7.85000	+	13.5966i	−0.514271	+	0.890743i	0.485592	+	0.874185i	$0.338604\pi$
$233$	−7.85000	+	13.5966i	−0.514271	+	0.890743i	−0.999863	+	0.0165573i	$0.994729\pi$
$234$	16.6096	+	28.7686i	1.08580	+	1.88066i
$235$	−5.88500			−0.383895
$236$	−5.95455			−0.387608
$237$	−13.7704	−	23.8511i	−0.894485	−	1.54929i
$238$	−1.05318	−	1.82416i	−0.0682676	−	0.118243i
$239$	−23.4610			−1.51757			−0.758783	−	0.651344i	$-0.774205\pi$
$239$	−23.4610			−1.51757			−0.758783	+	0.651344i	$0.774205\pi$
$240$	−7.61219			−0.491365
$241$	−6.58469	−	11.4050i	−0.424157	−	0.734662i	0.572184	−	0.820125i	$-0.306096\pi$
$241$	−6.58469	−	11.4050i	−0.424157	−	0.734662i	−0.996341	+	0.0854634i	$0.972763\pi$
$242$	5.42860	−	9.40260i	0.348963	−	0.604422i
$243$	−2.73161	−	4.73128i	−0.175233	−	0.303512i
$244$	−1.44910	+	2.50991i	−0.0927689	+	0.160680i
$245$	3.31445	−	5.74080i	0.211753	−	0.366766i
$246$	30.1333			1.92123
$247$	−17.4159	−	8.42058i	−1.10815	−	0.535789i
$248$	−19.1520			−1.21615
$249$	3.23272	−	5.59923i	0.204865	−	0.354837i
$250$	0.595455	−	1.03136i	0.0376599	−	0.0652288i
$251$	8.66257	+	15.0040i	0.546776	+	0.947045i	0.998493	+	0.0548830i	$0.0174786\pi$
$251$	8.66257	+	15.0040i	0.546776	+	0.947045i	−0.451716	+	0.892162i	$0.649188\pi$
$252$	−1.11368	+	1.92895i	−0.0701551	+	0.121512i
$253$	6.38521	+	11.0595i	0.401435	+	0.695305i
$254$	−2.74563			−0.172276
$255$	8.84726			0.554037
$256$	6.33295	+	10.9690i	0.395809	+	0.685562i
$257$	2.83980	+	4.91867i	0.177142	+	0.306818i	0.940900	−	0.338683i	$-0.109982\pi$
$257$	2.83980	+	4.91867i	0.177142	+	0.306818i	−0.763759	+	0.645502i	$0.776648\pi$
$258$	36.2483			2.25672
$259$	2.29820			0.142803
$260$	1.29087	+	2.23585i	0.0800562	+	0.138661i
$261$	−3.50811	+	6.07622i	−0.217146	+	0.376108i
$262$	−7.69215	−	13.3232i	−0.475222	−	0.823109i
$263$	−2.82882	+	4.89966i	−0.174433	+	0.302126i	−0.939965	−	0.341272i	$-0.889142\pi$
$263$	−2.82882	+	4.89966i	−0.174433	+	0.302126i	0.765532	+	0.643398i	$0.222476\pi$
$264$	−21.0105	+	36.3912i	−1.29311	+	2.23972i
$265$	8.44872			0.519001
$266$	0.231393	+	3.15379i	0.0141876	+	0.193371i
$267$	24.1707			1.47922
$268$	2.46544	−	4.27026i	0.150601	−	0.260848i
$269$	11.9959	−	20.7775i	0.731402	−	1.26683i	−0.224881	−	0.974386i	$-0.572199\pi$
$269$	11.9959	−	20.7775i	0.731402	−	1.26683i	0.956284	−	0.292440i	$-0.0944672\pi$
$270$	5.96093	+	10.3246i	0.362771	+	0.628338i
$271$	10.6497	−	18.4459i	0.646926	−	1.12051i	−0.336927	−	0.941531i	$-0.609388\pi$
$271$	10.6497	−	18.4459i	0.646926	−	1.12051i	0.983853	−	0.178978i	$-0.0572791\pi$
$272$	3.62656	+	6.28138i	0.219892	+	0.380865i
$273$	−8.23808			−0.498591
$274$	15.1645			0.916121
$275$	−2.24258	−	3.88427i	−0.135233	−	0.234230i
$276$	−2.52359	−	4.37098i	−0.151902	−	0.263102i
$277$	−0.821109			−0.0493357			−0.0246678	−	0.999696i	$-0.507853\pi$
$277$	−0.821109			−0.0493357			−0.0246678	+	0.999696i	$0.507853\pi$
$278$	−12.6340			−0.757735
$279$	19.5757	+	33.9060i	1.17196	+	2.02990i
$280$	0.936489	−	1.62205i	0.0559659	−	0.0969358i
$281$	0.293739	+	0.508772i	0.0175230	+	0.0303508i	0.874654	−	0.484748i	$-0.161089\pi$
$281$	0.293739	+	0.508772i	0.0175230	+	0.0303508i	−0.857131	+	0.515099i	$0.827755\pi$
$282$	−10.6780	+	18.4949i	−0.635869	+	1.10136i
$283$	−15.4712	+	26.7969i	−0.919667	+	1.59291i	−0.119746	+	0.992805i	$0.538208\pi$
$283$	−15.4712	+	26.7969i	−0.919667	+	1.59291i	−0.799921	+	0.600105i	$0.795125\pi$
$284$	−6.75969			−0.401114
$285$	−11.9579	−	5.78165i	−0.708327	−	0.342475i
$286$	−23.7052			−1.40172
$287$	−2.52920	+	4.38070i	−0.149294	+	0.258585i
$288$	9.97530	−	17.2777i	0.587800	−	1.01810i
$289$	4.28504	+	7.42191i	0.252061	+	0.436583i
$290$	0.664705	−	1.15130i	0.0390328	−	0.0676068i
$291$	14.7370	+	25.5252i	0.863896	+	1.49631i
$292$	−2.16594			−0.126752
$293$	3.76271			0.219820			0.109910	−	0.993942i	$-0.464944\pi$
$293$	3.76271			0.219820			0.109910	+	0.993942i	$0.464944\pi$
$294$	−12.0278	−	20.8328i	−0.701478	−	1.21499i
$295$	−5.11793	−	8.86451i	−0.297977	−	0.516112i
$296$	−11.5994			−0.674202
$297$	44.8998			2.60535
$298$	2.24669	+	3.89138i	0.130147	+	0.225422i
$299$	6.31806	−	10.9432i	0.365383	−	0.632861i
$300$	0.886322	+	1.53515i	0.0511718	+	0.0886322i
$301$	−3.04246	+	5.26969i	−0.175364	+	0.303740i
$302$	−5.66612	+	9.81401i	−0.326049	+	0.564733i
$303$	−2.95961			−0.170025
$304$	−0.796788	−	10.8598i	−0.0456989	−	0.622855i
$305$	−4.98199			−0.285268
$306$	10.8663	−	18.8211i	0.621187	−	1.07593i
$307$	−10.1709	+	17.6166i	−0.580485	+	1.00543i	0.414936	+	0.909850i	$0.363804\pi$
$307$	−10.1709	+	17.6166i	−0.580485	+	1.00543i	−0.995422	+	0.0955798i	$0.969529\pi$
$308$	−0.794723	−	1.37650i	−0.0452835	−	0.0784334i
$309$	5.09095	−	8.81779i	0.289614	−	0.501626i
$310$	−3.70913	−	6.42441i	−0.210665	−	0.364882i
$311$	−7.67830			−0.435397			−0.217698	−	0.976016i	$-0.569855\pi$
$311$	−7.67830			−0.435397			−0.217698	+	0.976016i	$0.569855\pi$
$312$	41.5790			2.35395
$313$	−11.9964	−	20.7783i	−0.678074	−	1.17446i	−0.975560	−	0.219733i	$-0.929481\pi$
$313$	−11.9964	−	20.7783i	−0.678074	−	1.17446i	0.297486	−	0.954726i	$-0.403852\pi$
$314$	−2.05815	−	3.56482i	−0.116148	−	0.201174i
$315$	−3.82882			−0.215730
$316$	−5.25781			−0.295775
$317$	−0.519518	−	0.899831i	−0.0291790	−	0.0505395i	0.851067	−	0.525057i	$-0.175956\pi$
$317$	−0.519518	−	0.899831i	−0.0291790	−	0.0505395i	−0.880246	+	0.474517i	$0.842623\pi$
$318$	15.3298	−	26.5520i	0.859653	−	1.48896i
$319$	−2.50339	−	4.33600i	−0.140163	−	0.242769i
$320$	−4.38821	+	7.60059i	−0.245308	+	0.424886i
$321$	−14.4993	+	25.1135i	−0.809271	+	1.40170i
$322$	−2.06561			−0.115112
$323$	0.926066	+	12.6218i	0.0515277	+	0.702298i
$324$	−6.77641			−0.376467
$325$	−2.21900	+	3.84342i	−0.123088	+	0.213194i
$326$	3.96146	−	6.86145i	0.219405	−	0.380020i
$327$	−8.44610	−	14.6291i	−0.467070	−	0.808990i
$328$	12.7653	−	22.1102i	0.704846	−	1.22083i
$329$	−1.79250	−	3.10470i	−0.0988236	−	0.171167i
$330$	−16.2762			−0.895978
$331$	30.8316			1.69466			0.847328	−	0.531069i	$-0.178210\pi$
$331$	30.8316			1.69466			0.847328	+	0.531069i	$0.178210\pi$
$332$	−0.617157	−	1.06895i	−0.0338709	−	0.0586661i
$333$	11.8560	+	20.5352i	0.649705	+	1.12532i
$334$	19.5970			1.07230
$335$	8.47616			0.463102
$336$	−2.31858	−	4.01590i	−0.126489	−	0.219085i
$337$	−10.3576	+	17.9400i	−0.564217	+	0.977252i	0.432906	+	0.901439i	$0.357488\pi$
$337$	−10.3576	+	17.9400i	−0.564217	+	0.977252i	−0.997122	+	0.0758124i	$0.975845\pi$
$338$	3.98705	+	6.90577i	0.216867	+	0.375625i
$339$	−2.34837	+	4.06749i	−0.127546	+	0.220916i
$340$	0.844513	−	1.46274i	0.0458002	−	0.0793282i
$341$	−27.9384			−1.51295
$342$	−26.9864	+	18.3374i	−1.45926	+	0.991572i
$343$	8.30239			0.448287
$344$	15.3558	−	26.5970i	0.827929	−	1.43402i
$345$	4.33804	−	7.51370i	0.233552	−	0.404524i
$346$	−13.5659	−	23.4968i	−0.729308	−	1.26320i
$347$	−4.11068	+	7.11991i	−0.220673	+	0.382217i	−0.955013	−	0.296566i	$-0.904159\pi$
$347$	−4.11068	+	7.11991i	−0.220673	+	0.382217i	0.734340	+	0.678782i	$0.237492\pi$
$348$	0.989399	+	1.71369i	0.0530373	+	0.0918634i
$349$	11.9216			0.638150			0.319075	−	0.947730i	$-0.396628\pi$
$349$	11.9216			0.638150			0.319075	+	0.947730i	$0.396628\pi$
$350$	0.725473			0.0387782
$351$	−22.2138	−	38.4754i	−1.18568	−	2.05366i
$352$	7.11839	+	12.3294i	0.379412	+	0.657160i
$353$	−11.7983			−0.627959			−0.313980	−	0.949430i	$-0.601662\pi$
$353$	−11.7983			−0.627959			−0.313980	+	0.949430i	$0.601662\pi$
$354$	−37.1450			−1.97423
$355$	−5.80995	−	10.0631i	−0.308360	−	0.534095i
$356$	2.30721	−	3.99620i	0.122282	−	0.211798i
$357$	2.69477	+	4.66747i	0.142622	+	0.247029i
$358$	−1.38691	+	2.40220i	−0.0733005	+	0.126960i
$359$	−0.0554058	+	0.0959656i	−0.00292420	+	0.00506487i	−0.867484	−	0.497465i	$-0.834264\pi$
$359$	−0.0554058	+	0.0959656i	−0.00292420	+	0.00506487i	0.864560	+	0.502530i	$0.167597\pi$
$360$	19.3247			1.01850
$361$	6.99666	−	17.6648i	0.368245	−	0.929729i
$362$	26.6040			1.39827
$363$	−13.8901	+	24.0584i	−0.729042	+	1.26274i
$364$	−0.786364	+	1.36202i	−0.0412167	+	0.0713894i
$365$	−1.86162	−	3.22443i	−0.0974418	−	0.168774i
$366$	−9.03958	+	15.6570i	−0.472507	+	0.818405i
$367$	−5.86986	−	10.1669i	−0.306404	−	0.530708i	0.671169	−	0.741305i	$-0.265793\pi$
$367$	−5.86986	−	10.1669i	−0.306404	−	0.530708i	−0.977573	+	0.210597i	$0.932459\pi$
$368$	7.11278			0.370779
$369$	−52.1908			−2.71694
$370$	−2.24644	−	3.89095i	−0.116787	−	0.202281i
$371$	2.57338	+	4.45722i	0.133603	+	0.231407i
$372$	11.0419			0.572498
$373$	14.5190			0.751763			0.375882	−	0.926668i	$-0.377340\pi$
$373$	14.5190			0.751763			0.375882	+	0.926668i	$0.377340\pi$
$374$	7.75424	+	13.4307i	0.400962	+	0.694487i
$375$	−1.52359	+	2.63893i	−0.0786776	+	0.136274i
$376$	9.04704	+	15.6699i	0.466566	+	0.808115i
$377$	−2.47706	+	4.29040i	−0.127575	+	0.220967i
$378$	−3.63125	+	6.28952i	−0.186772	+	0.323498i
$379$	−6.59023			−0.338518			−0.169259	−	0.985572i	$-0.554137\pi$
$379$	−6.59023			−0.338518			−0.169259	+	0.985572i	$0.554137\pi$
$380$	−2.09734	+	1.42515i	−0.107591	+	0.0731087i
$381$	7.02522			0.359913
$382$	1.33242	−	2.30782i	0.0681727	−	0.118079i
$383$	1.43461	−	2.48481i	0.0733049	−	0.126968i	−0.827043	−	0.562139i	$-0.809979\pi$
$383$	1.43461	−	2.48481i	0.0733049	−	0.126968i	0.900348	+	0.435171i	$0.143312\pi$
$384$	6.25207	+	10.8289i	0.319050	+	0.552610i
$385$	1.36613	−	2.36620i	0.0696243	−	0.120593i
$386$	−2.70519	−	4.68552i	−0.137690	−	0.238487i
$387$	−62.7819			−3.19138
$388$	5.62686			0.285660
$389$	3.16575	+	5.48323i	0.160510	+	0.278011i	0.935052	−	0.354512i	$-0.115353\pi$
$389$	3.16575	+	5.48323i	0.160510	+	0.278011i	−0.774542	+	0.632523i	$0.782020\pi$
$390$	8.05253	+	13.9474i	0.407756	+	0.706254i
$391$	−8.26682			−0.418071
$392$	−20.3813			−1.02941
$393$	19.6818	+	34.0899i	0.992817	+	1.71961i
$394$	−11.4468	+	19.8264i	−0.576680	+	0.998840i
$395$	−4.51908	−	7.82728i	−0.227380	−	0.393833i
$396$	8.19966	−	14.2022i	0.412049	−	0.713689i
$397$	15.2749	−	26.4569i	0.766626	−	1.32784i	−0.172756	−	0.984965i	$-0.555267\pi$
$397$	15.2749	−	26.4569i	0.766626	−	1.32784i	0.939382	−	0.342871i	$-0.111399\pi$
$398$	7.32522			0.367180
$399$	−0.592065	−	8.06957i	−0.0296403	−	0.403984i
$400$	−2.49812			−0.124906
$401$	−15.1711	+	26.2771i	−0.757609	+	1.31222i	0.186458	+	0.982463i	$0.440299\pi$
$401$	−15.1711	+	26.2771i	−0.757609	+	1.31222i	−0.944067	+	0.329754i	$0.893034\pi$
$402$	15.3796	−	26.6382i	0.767064	−	1.32859i
$403$	13.8223	+	23.9409i	0.688538	+	1.19258i
$404$	−0.282509	+	0.489320i	−0.0140553	+	0.0243446i
$405$	−5.82432	−	10.0880i	−0.289413	−	0.501277i
$406$	0.809843			0.0401919
$407$	−16.9209			−0.838740
$408$	−13.6009	−	23.5575i	−0.673347	−	1.16627i
$409$	7.48628	+	12.9666i	0.370173	+	0.641158i	0.989592	−	0.143903i	$-0.0459652\pi$
$409$	7.48628	+	12.9666i	0.370173	+	0.641158i	−0.619419	+	0.785060i	$0.712632\pi$
$410$	9.88894			0.488380
$411$	−38.8013			−1.91393
$412$	−0.971912	−	1.68340i	−0.0478827	−	0.0829352i
$413$	3.11772	−	5.40004i	0.153413	−	0.265719i
$414$	−10.6561	−	18.4569i	−0.523718	−	0.907107i
$415$	1.06089	−	1.83752i	0.0520771	−	0.0902002i
$416$	7.04353	−	12.1997i	0.345337	−	0.598142i
$417$	32.3264			1.58303
$418$	−1.70368	−	23.2203i	−0.0833296	−	1.13574i
$419$	−6.17419			−0.301629			−0.150815	−	0.988562i	$-0.548190\pi$
$419$	−6.17419			−0.301629			−0.150815	+	0.988562i	$0.548190\pi$
$420$	−0.539925	+	0.935178i	−0.0263457	+	0.0456320i
$421$	13.7714	−	23.8528i	0.671177	−	1.16251i	−0.306394	−	0.951905i	$-0.599122\pi$
$421$	13.7714	−	23.8528i	0.671177	−	1.16251i	0.977571	−	0.210608i	$-0.0675443\pi$
$422$	7.55824	+	13.0913i	0.367929	+	0.637272i
$423$	18.4943	−	32.0331i	0.899226	−	1.55750i
$424$	−12.9883	−	22.4963i	−0.630766	−	1.09252i
$425$	2.90343			0.140837
$426$	−42.1675			−2.04302
$427$	−1.51745	−	2.62830i	−0.0734347	−	0.127193i
$428$	2.76805	+	4.79441i	0.133799	+	0.231746i
$429$	60.6544			2.92842
$430$	11.8957			0.573663
$431$	7.52941	+	13.0413i	0.362679	+	0.628179i	0.988401	−	0.151868i	$-0.0485288\pi$
$431$	7.52941	+	13.0413i	0.362679	+	0.628179i	−0.625722	+	0.780046i	$0.715195\pi$
$432$	12.5040	−	21.6575i	0.601598	−	1.04200i
$433$	0.485420	+	0.840772i	0.0233278	+	0.0404049i	0.877454	−	0.479661i	$-0.159241\pi$
$433$	0.485420	+	0.840772i	0.0233278	+	0.0404049i	−0.854126	+	0.520066i	$0.825907\pi$
$434$	2.25951	−	3.91359i	0.108460	−	0.187858i
$435$	−1.70077	+	2.94583i	−0.0815459	+	0.141242i
$436$	−3.22488			−0.154444
$437$	11.1734	+	5.40234i	0.534497	+	0.258429i
$438$	−13.5113			−0.645596
$439$	13.7187	−	23.7616i	0.654760	−	1.13408i	−0.327194	−	0.944957i	$-0.606103\pi$
$439$	13.7187	−	23.7616i	0.654760	−	1.13408i	0.981954	−	0.189120i	$-0.0605636\pi$
$440$	−6.89507	+	11.9426i	−0.328710	+	0.569342i
$441$	20.8322	+	36.0824i	0.992008	+	1.71821i
$442$	7.67269	−	13.2895i	0.364952	−	0.632116i
$443$	4.38272	+	7.59109i	0.208229	+	0.360664i	0.951157	−	0.308708i	$-0.0998966\pi$
$443$	4.38272	+	7.59109i	0.208229	+	0.360664i	−0.742928	+	0.669372i	$0.766563\pi$
$444$	6.68755			0.317377
$445$	7.93217			0.376021
$446$	13.4201	+	23.2443i	0.635461	+	1.10065i
$447$	−5.74859	−	9.95686i	−0.271899	−	0.470943i
$448$	−5.34637			−0.252592
$449$	−9.63397			−0.454655			−0.227327	−	0.973818i	$-0.572999\pi$
$449$	−9.63397			−0.454655			−0.227327	+	0.973818i	$0.572999\pi$
$450$	3.74258	+	6.48234i	0.176427	+	0.305581i
$451$	18.6217	−	32.2538i	0.876862	−	1.51877i
$452$	0.448326	+	0.776524i	0.0210875	+	0.0365246i
$453$	14.4979	−	25.1110i	0.681169	−	1.17982i
$454$	10.7851	−	18.6803i	0.506169	−	0.876711i
$455$	−2.70352			−0.126743
$456$	2.98825	+	40.7285i	0.139938	+	1.90729i
$457$	−10.6708			−0.499161			−0.249580	−	0.968354i	$-0.580293\pi$
$457$	−10.6708			−0.499161			−0.249580	+	0.968354i	$0.580293\pi$
$458$	−5.60683	+	9.71131i	−0.261990	+	0.453780i
$459$	−14.5327	+	25.1714i	−0.678330	+	1.17490i
$460$	−0.828173	−	1.43444i	−0.0386138	−	0.0668810i
$461$	−2.84340	+	4.92491i	−0.132430	+	0.229376i	−0.924613	−	0.380908i	$-0.875611\pi$
$461$	−2.84340	+	4.92491i	−0.132430	+	0.229376i	0.792183	+	0.610284i	$0.208945\pi$
$462$	−4.95754	−	8.58672i	−0.230646	−	0.399490i
$463$	35.3550			1.64309			0.821543	−	0.570147i	$-0.193114\pi$
$463$	35.3550			1.64309			0.821543	+	0.570147i	$0.193114\pi$
$464$	−2.78864			−0.129459
$465$	9.49053	+	16.4381i	0.440113	+	0.762298i
$466$	9.34864	+	16.1923i	0.433067	+	0.750095i
$467$	−32.9071			−1.52276			−0.761380	−	0.648306i	$-0.775478\pi$
$467$	−32.9071			−1.52276			−0.761380	+	0.648306i	$0.775478\pi$
$468$	−16.2269			−0.750086
$469$	2.58173	+	4.47169i	0.119213	+	0.206484i
$470$	−3.50425	+	6.06954i	−0.161639	+	0.279967i
$471$	5.26617	+	9.12127i	0.242652	+	0.420286i
$472$	−15.7356	+	27.2549i	−0.724292	+	1.25451i
$473$	22.4006	−	38.7991i	1.02998	−	1.78398i
$474$	−32.7986			−1.50649
$475$	−3.92428	−	1.89738i	−0.180058	−	0.0870579i
$476$	1.02891			0.0471602
$477$	−26.5512	+	45.9880i	−1.21569	+	2.10564i
$478$	−13.9700	+	24.1967i	−0.638971	+	1.10673i
$479$	4.52861	+	7.84378i	0.206917	+	0.358391i	0.950742	−	0.309984i	$-0.100324\pi$
$479$	4.52861	+	7.84378i	0.206917	+	0.358391i	−0.743825	+	0.668375i	$0.766990\pi$
$480$	4.83615	−	8.37647i	0.220739	−	0.382332i
$481$	8.37149	+	14.4998i	0.381707	+	0.661136i
$482$	−15.6835			−0.714366
$483$	5.28525			0.240487
$484$	2.65175	+	4.59297i	0.120534	+	0.208772i
$485$	4.83628	+	8.37668i	0.219604	+	0.380365i
$486$	−6.50619			−0.295127
$487$	−16.5206			−0.748620			−0.374310	−	0.927304i	$-0.622120\pi$
$487$	−16.5206			−0.748620			−0.374310	+	0.927304i	$0.622120\pi$
$488$	7.65884	+	13.2655i	0.346700	+	0.600501i
$489$	−10.1362	+	17.5563i	−0.458373	+	0.793925i
$490$	−3.94721	−	6.83677i	−0.178317	−	0.308854i
$491$	0.695625	−	1.20486i	0.0313931	−	0.0543745i	−0.849902	−	0.526941i	$-0.823339\pi$
$491$	0.695625	−	1.20486i	0.0313931	−	0.0543745i	0.881295	+	0.472566i	$0.156672\pi$
$492$	−7.35974	+	12.7474i	−0.331803	+	0.574699i
$493$	3.24109			0.145972
$494$	−19.0550	+	12.9480i	−0.857326	+	0.582557i
$495$	28.1904			1.26706
$496$	−7.78048	+	13.4762i	−0.349354	+	0.605099i
$497$	3.53928	−	6.13021i	0.158758	−	0.274977i
$498$	−3.84988	−	6.66818i	−0.172517	−	0.298808i
$499$	8.33255	−	14.4324i	0.373016	−	0.646083i	−0.617012	−	0.786954i	$-0.711657\pi$
$499$	8.33255	−	14.4324i	0.373016	−	0.646083i	0.990028	+	0.140871i	$0.0449902\pi$
$500$	0.290867	+	0.503797i	0.0130080	+	0.0225305i
$501$	−50.1427			−2.24021
$502$	20.6327			0.920881
$503$	−7.81956	−	13.5439i	−0.348657	−	0.603892i	0.637354	−	0.770571i	$-0.280029\pi$
$503$	−7.81956	−	13.5439i	−0.348657	−	0.603892i	−0.986011	+	0.166679i	$0.946696\pi$
$504$	5.88607	+	10.1950i	0.262186	+	0.454120i
$505$	−0.971265			−0.0432207
$506$	15.2084			0.676096
$507$	−10.2016	−	17.6697i	−0.453070	−	0.784741i
$508$	0.670591	−	1.16150i	0.0297526	−	0.0515331i
$509$	9.57702	+	16.5879i	0.424494	+	0.735245i	0.996373	−	0.0850929i	$-0.0271187\pi$
$509$	9.57702	+	16.5879i	0.424494	+	0.735245i	−0.571879	+	0.820338i	$0.693785\pi$
$510$	5.26814	−	9.12469i	0.233277	−	0.404048i
$511$	1.13406	−	1.96424i	0.0501677	−	0.0868929i
$512$	23.2910			1.02933
$513$	36.0919	−	24.5246i	1.59349	−	1.08279i
$514$	6.76389			0.298342
$515$	1.67071	−	2.89376i	0.0736205	−	0.127514i
$516$	−8.85327	+	15.3343i	−0.389743	+	0.675055i
$517$	13.1976	+	22.8589i	0.580430	+	1.00533i
$518$	1.36848	−	2.37027i	0.0601273	−	0.104144i
$519$	34.7110	+	60.1212i	1.52364	+	2.63903i
$520$	13.6451			0.598378
$521$	−19.2394			−0.842892			−0.421446	−	0.906853i	$-0.638477\pi$
$521$	−19.2394			−0.842892			−0.421446	+	0.906853i	$0.638477\pi$
$522$	4.17784	+	7.23622i	0.182859	+	0.316721i
$523$	−3.31973	−	5.74993i	−0.145161	−	0.251427i	0.784272	−	0.620418i	$-0.213037\pi$
$523$	−3.31973	−	5.74993i	−0.145161	−	0.251427i	−0.929433	+	0.368990i	$0.879704\pi$
$524$	7.51490			0.328290
$525$	−1.85626			−0.0810139
$526$	3.36887	+	5.83505i	0.146890	+	0.254420i
$527$	9.04285	−	15.6627i	0.393913	−	0.682277i
$528$	17.0710	+	29.5678i	0.742919	+	1.28677i
$529$	7.44657	−	12.8978i	0.323764	−	0.560775i
$530$	5.03083	−	8.71366i	0.218525	−	0.378497i
$531$	64.3349			2.79190
$532$	−1.39068	−	0.672391i	−0.0602935	−	0.0291519i
$533$	−36.8517			−1.59623
$534$	14.3925	−	24.9286i	0.622826	−	1.07877i
$535$	−4.75828	+	8.24158i	−0.205718	+	0.356314i
$536$	−13.0305	−	22.5694i	−0.562830	−	0.974850i
$537$	3.54868	−	6.14649i	0.153137	−	0.265241i
$538$	−14.2860	−	24.7441i	−0.615914	−	1.06679i
$539$	−29.7317			−1.28064
$540$	−5.82358			−0.250607
$541$	−20.8756	−	36.1575i	−0.897510	−	1.55453i	−0.830667	−	0.556770i	$-0.812040\pi$
$541$	−20.8756	−	36.1575i	−0.897510	−	1.55453i	−0.0668435	−	0.997763i	$-0.521293\pi$
$542$	−12.6829	−	21.9674i	−0.544777	−	0.943581i
$543$	−68.0714			−2.92122
$544$	−9.21606			−0.395135
$545$	−2.77178	−	4.80087i	−0.118730	−	0.205647i
$546$	−4.90540	+	8.49641i	−0.209932	+	0.363613i
$547$	−6.10258	−	10.5700i	−0.260927	−	0.451939i	0.705561	−	0.708649i	$-0.250695\pi$
$547$	−6.10258	−	10.5700i	−0.260927	−	0.451939i	−0.966489	+	0.256710i	$0.917362\pi$
$548$	−3.70377	+	6.41512i	−0.158217	+	0.274040i
$549$	15.6565	−	27.1179i	0.668204	−	1.15736i
$550$	−5.34143			−0.227759
$551$	−4.38066	−	2.11804i	−0.186622	−	0.0902317i
$552$	−26.6756			−1.13539
$553$	2.75291	−	4.76819i	0.117066	−	0.202764i
$554$	−0.488934	+	0.846858i	−0.0207728	+	0.0359795i
$555$	5.74795	+	9.95573i	0.243987	+	0.422597i
$556$	3.08571	−	5.34461i	0.130863	−	0.226662i
$557$	−17.5774	−	30.4450i	−0.744779	−	1.28999i	−0.950298	−	0.311342i	$-0.899222\pi$
$557$	−17.5774	−	30.4450i	−0.744779	−	1.28999i	0.205519	−	0.978653i	$-0.434112\pi$
$558$	46.6257			1.97382
$559$	−44.3301			−1.87496
$560$	−0.760896	−	1.31791i	−0.0321537	−	0.0556919i
$561$	−19.8407	−	34.3651i	−0.837675	−	1.45090i
$562$	0.699634			0.0295123
$563$	17.8406			0.751891			0.375945	−	0.926642i	$-0.377318\pi$
$563$	17.8406			0.751891			0.375945	+	0.926642i	$0.377318\pi$
$564$	−5.21600	−	9.03438i	−0.219633	−	0.380416i
$565$	−0.770672	+	1.33484i	−0.0324224	+	0.0561572i
$566$	18.4248	+	31.9127i	0.774452	+	1.34139i
$567$	3.54803	−	6.14537i	0.149003	−	0.258081i
$568$	−17.8633	+	30.9402i	−0.749529	+	1.29822i
$569$	31.6042			1.32492			0.662459	−	0.749098i	$-0.269513\pi$
$569$	31.6042			1.32492			0.662459	+	0.749098i	$0.269513\pi$
$570$	−13.0834	+	8.89020i	−0.548002	+	0.372370i
$571$	−4.73053			−0.197967			−0.0989833	−	0.995089i	$-0.531559\pi$
$571$	−4.73053			−0.197967			−0.0989833	+	0.995089i	$0.531559\pi$
$572$	5.78975	−	10.0281i	0.242082	−	0.419298i
$573$	−3.40926	+	5.90501i	−0.142424	+	0.246685i
$574$	3.01205	+	5.21702i	0.125721	+	0.217754i
$575$	1.42363	−	2.46580i	0.0593694	−	0.102831i
$576$	−27.5810	−	47.7717i	−1.14921	−	1.99049i
$577$	24.4074			1.01609			0.508047	−	0.861330i	$-0.330368\pi$
$577$	24.4074			1.01609			0.508047	+	0.861330i	$0.330368\pi$
$578$	10.2062			0.424522
$579$	6.92174	+	11.9888i	0.287658	+	0.498238i
$580$	0.324694	+	0.562387i	0.0134822	+	0.0233518i
$581$	1.29254			0.0536235
$582$	35.1008			1.45497
$583$	−18.9470	−	32.8171i	−0.784703	−	1.35915i
$584$	−5.72377	+	9.91386i	−0.236851	+	0.410239i
$585$	−13.9470	−	24.1568i	−0.576636	−	0.998763i
$586$	2.24052	−	3.88070i	0.0925551	−	0.160310i
$587$	14.3077	−	24.7817i	0.590543	−	1.02285i	−0.403616	−	0.914928i	$-0.632247\pi$
$587$	14.3077	−	24.7817i	0.590543	−	1.02285i	0.994159	−	0.107922i	$-0.0344197\pi$
$588$	11.7507			0.484590
$589$	−22.4578	+	15.2602i	−0.925358	+	0.628785i
$590$	−12.1900			−0.501853
$591$	29.2888	−	50.7297i	1.20478	−	2.08674i
$592$	−4.71225	+	8.16186i	−0.193672	+	0.335450i
$593$	−1.85756	−	3.21738i	−0.0762807	−	0.132122i	0.825362	−	0.564604i	$-0.190971\pi$
$593$	−1.85756	−	3.21738i	−0.0762807	−	0.132122i	−0.901642	+	0.432482i	$0.857638\pi$
$594$	26.7358	−	46.3077i	1.09698	−	1.90003i
$595$	0.884350	+	1.53174i	0.0362548	+	0.0627952i
$596$	−2.19492			−0.0899076
$597$	−18.7430			−0.767099
$598$	−7.52423	−	13.0324i	−0.307689	−	0.532933i
$599$	−3.54970	−	6.14826i	−0.145037	−	0.251211i	0.784350	−	0.620319i	$-0.212997\pi$
$599$	−3.54970	−	6.14826i	−0.145037	−	0.251211i	−0.929387	+	0.369108i	$0.879663\pi$
$600$	9.36887			0.382482
$601$	−11.0596			−0.451131			−0.225566	−	0.974228i	$-0.572423\pi$
$601$	−11.0596			−0.451131			−0.225566	+	0.974228i	$0.572423\pi$
$602$	3.62329	+	6.27572i	0.147674	+	0.255779i
$603$	−26.6374	+	46.1373i	−1.08476	+	1.87886i
$604$	−2.76778	−	4.79394i	−0.112619	−	0.195063i
$605$	−4.55836	+	7.89531i	−0.185324	+	0.320990i
$606$	−1.76231	+	3.05242i	−0.0715891	+	0.123996i
$607$	27.1193			1.10074			0.550369	−	0.834921i	$-0.314487\pi$
$607$	27.1193			1.10074			0.550369	+	0.834921i	$0.314487\pi$
$608$	12.4564	+	6.02266i	0.505174	+	0.244251i
$609$	−2.07214			−0.0839673
$610$	−2.96655	+	5.13821i	−0.120112	+	0.208040i
$611$	13.0588	−	22.6185i	0.528302	−	0.915046i
$612$	5.30798	+	9.19369i	0.214562	+	0.371633i
$613$	−20.9156	+	36.2268i	−0.844772	+	1.46319i	0.0410468	+	0.999157i	$0.486931\pi$
$613$	−20.9156	+	36.2268i	−0.844772	+	1.46319i	−0.885819	+	0.464031i	$0.846403\pi$
$614$	12.1127	+	20.9797i	0.488827	+	0.846673i
$615$	−25.3028			−1.02031
$616$	−8.40062			−0.338471
$617$	8.85262	+	15.3332i	0.356393	+	0.617291i	0.987355	−	0.158523i	$-0.0506731\pi$
$617$	8.85262	+	15.3332i	0.356393	+	0.617291i	−0.630962	+	0.775813i	$0.717340\pi$
$618$	−6.06286	−	10.5012i	−0.243884	−	0.422420i
$619$	−39.8064			−1.59995			−0.799976	−	0.600032i	$-0.795155\pi$
$619$	−39.8064			−1.59995			−0.799976	+	0.600032i	$0.795155\pi$
$620$	3.62367			0.145530
$621$	14.2515	+	24.6844i	0.571895	+	0.990551i
$622$	−4.57208	+	7.91908i	−0.183324	+	0.317526i
$623$	2.41604	+	4.18471i	0.0967966	+	0.167657i
$624$	16.8914	−	29.2568i	0.676198	−	1.17121i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	−28.5732			−1.14201
$627$	4.35919	+	59.4137i	0.174089	+	2.37275i
$628$	2.01072			0.0802366
$629$	5.47681	−	9.48611i	0.218375	−	0.378236i
$630$	−2.27989	+	3.94888i	−0.0908330	+	0.157327i
$631$	−23.0990	−	40.0087i	−0.919557	−	1.59272i	−0.800088	−	0.599882i	$-0.795214\pi$
$631$	−23.0990	−	40.0087i	−0.919557	−	1.59272i	−0.119469	−	0.992838i	$-0.538119\pi$
$632$	−13.8944	+	24.0659i	−0.552691	+	0.957288i
$633$	−19.3392	−	33.4965i	−0.768664	−	1.33137i
$634$	−1.23740			−0.0491433
$635$	2.30549			0.0914905
$636$	7.48829	+	12.9701i	0.296930	+	0.514298i
$637$	14.7095	+	25.4776i	0.582813	+	1.00946i
$638$	−5.96262			−0.236062
$639$	73.0340			2.88918
$640$	2.05176	+	3.55376i	0.0811030	+	0.140475i
$641$	−3.30674	+	5.72744i	−0.130608	+	0.226220i	−0.923911	−	0.382607i	$-0.875026\pi$
$641$	−3.30674	+	5.72744i	−0.130608	+	0.226220i	0.793303	+	0.608827i	$0.208360\pi$
$642$	17.2673	+	29.9079i	0.681487	+	1.18037i
$643$	15.3076	−	26.5135i	0.603673	−	1.04559i	−0.388587	−	0.921412i	$-0.627037\pi$
$643$	15.3076	−	26.5135i	0.603673	−	1.04559i	0.992260	−	0.124180i	$-0.0396300\pi$
$644$	0.504503	−	0.873824i	0.0198802	−	0.0344335i
$645$	−30.4375			−1.19847
$646$	13.5691	+	6.56063i	0.533868	+	0.258125i
$647$	−11.8979			−0.467753			−0.233877	−	0.972266i	$-0.575141\pi$
$647$	−11.8979			−0.467753			−0.233877	+	0.972266i	$0.575141\pi$
$648$	−17.9075	+	31.0167i	−0.703474	+	1.21845i
$649$	−22.9548	+	39.7588i	−0.901053	+	1.56067i
$650$	2.64263	+	4.57716i	0.103652	+	0.179531i
$651$	−5.78140	+	10.0137i	−0.226591	+	0.392467i
$652$	1.93509	+	3.35167i	0.0757839	+	0.131262i
$653$	−1.42899			−0.0559207			−0.0279604	−	0.999609i	$-0.508901\pi$
$653$	−1.42899			−0.0559207			−0.0279604	+	0.999609i	$0.508901\pi$
$654$	−20.1171			−0.786640
$655$	6.45905	+	11.1874i	0.252376	+	0.437128i
$656$	−10.3718	−	17.9645i	−0.404950	−	0.701395i
$657$	23.4015			0.912981
$658$	−4.26941			−0.166439
$659$	12.2485	+	21.2150i	0.477134	+	0.826420i	0.999657	−	0.0262051i	$-0.00834231\pi$
$659$	12.2485	+	21.2150i	0.477134	+	0.826420i	−0.522523	+	0.852625i	$0.675009\pi$
$660$	3.97530	−	6.88542i	0.154738	−	0.268015i
$661$	1.61303	+	2.79385i	0.0627396	+	0.108668i	0.895689	−	0.444681i	$-0.146683\pi$
$661$	1.61303	+	2.79385i	0.0627396	+	0.108668i	−0.832949	+	0.553349i	$0.813350\pi$
$662$	18.3588	−	31.7984i	0.713535	−	1.23588i
$663$	−19.6320	+	34.0037i	−0.762445	+	1.32059i
$664$	−6.52366			−0.253167
$665$	−0.194300	−	2.64822i	−0.00753462	−	0.102693i
$666$	28.2389			1.09423
$667$	1.58919	−	2.75256i	0.0615338	−	0.106580i
$668$	−4.78636	+	8.29023i	−0.185190	+	0.320758i
$669$	−34.3379	−	59.4750i	−1.32758	−	2.29944i
$670$	5.04717	−	8.74196i	0.194989	−	0.337731i
$671$	11.1725	+	19.3514i	0.431311	+	0.747052i
$672$	5.89213			0.227294
$673$	37.1424			1.43173			0.715866	−	0.698237i	$-0.246032\pi$
$673$	37.1424			1.43173			0.715866	+	0.698237i	$0.246032\pi$
$674$	12.3350	+	21.3649i	0.475127	+	0.822944i
$675$	−5.00536	−	8.66954i	−0.192656	−	0.333691i
$676$	−3.89518			−0.149815
$677$	−24.7550			−0.951412			−0.475706	−	0.879604i	$-0.657807\pi$
$677$	−24.7550			−0.951412			−0.475706	+	0.879604i	$0.657807\pi$
$678$	2.79669	+	4.84402i	0.107406	+	0.186033i
$679$	−2.94614	+	5.10287i	−0.113063	+	0.195830i
$680$	−4.46346	−	7.73095i	−0.171166	−	0.296468i
$681$	−27.5957	+	47.7972i	−1.05747	+	1.83159i
$682$	−16.6361	+	28.8145i	−0.637028	+	1.10337i
$683$	40.1153			1.53497			0.767484	−	0.641068i	$-0.221508\pi$
$683$	40.1153			1.53497			0.767484	+	0.641068i	$0.221508\pi$
$684$	−1.16621	−	15.8949i	−0.0445912	−	0.607757i
$685$	−12.7335			−0.486524
$686$	4.94370	−	8.56274i	0.188751	−	0.326927i
$687$	14.3461	−	24.8482i	0.547340	−	0.948020i
$688$	−12.4766	−	21.6100i	−0.475664	−	0.823875i
$689$	−18.7477	+	32.4720i	−0.714230	+	1.23708i
$690$	−5.16621	−	8.94814i	−0.196674	−	0.340650i
$691$	39.4963			1.50251			0.751254	−	0.660013i	$-0.229449\pi$
$691$	39.4963			1.50251			0.751254	+	0.660013i	$0.229449\pi$
$692$	13.2533			0.503816
$693$	8.58645	+	14.8722i	0.326172	+	0.564947i
$694$	4.89545	+	8.47917i	0.185829	+	0.321865i
$695$	10.6087			0.402410
$696$	10.4584			0.396426
$697$	12.0546	+	20.8792i	0.456600	+	0.790855i
$698$	7.09879	−	12.2955i	0.268693	−	0.465390i
$699$	−23.9203	−	41.4312i	−0.904748	−	1.56707i
$700$	−0.177189	+	0.306901i	−0.00669712	+	0.0115997i
$701$	−0.0109776	+	0.0190137i	−0.000414618	+	0.000718139i	−0.866233	−	0.499641i	$-0.833465\pi$
$701$	−0.0109776	+	0.0190137i	−0.000414618	+	0.000718139i	0.865818	+	0.500359i	$0.166799\pi$
$702$	−52.9092			−1.99693
$703$	−13.6016	+	9.24234i	−0.512994	+	0.348581i
$704$	39.3637			1.48357
$705$	8.96630	−	15.5301i	0.337690	−	0.584897i
$706$	−7.02535	+	12.1683i	−0.264402	+	0.457958i
$707$	−0.295835	−	0.512402i	−0.0111260	−	0.0192708i
$708$	9.07226	−	15.7136i	0.340957	−	0.590554i
$709$	8.90087	+	15.4168i	0.334279	+	0.578989i	0.983346	−	0.181743i	$-0.0581738\pi$
$709$	8.90087	+	15.4168i	0.334279	+	0.578989i	−0.649067	+	0.760731i	$0.724840\pi$
$710$	−13.8383			−0.519340
$711$	56.8071			2.13043
$712$	−12.1942	−	21.1209i	−0.456996	−	0.791540i
$713$	−8.86789	−	15.3596i	−0.332105	−	0.575223i
$714$	6.41844			0.240204
$715$	19.9052			0.744410
$716$	−0.677477	−	1.17342i	−0.0253185	−	0.0438529i
$717$	35.7448	−	61.9118i	1.33491	−	2.31214i
$718$	0.0659833	+	0.114286i	0.00246247	+	0.00426513i
$719$	−9.40515	+	16.2902i	−0.350753	+	0.607522i	−0.986382	−	0.164473i	$-0.947408\pi$
$719$	−9.40515	+	16.2902i	−0.350753	+	0.607522i	0.635629	+	0.771995i	$0.280741\pi$
$720$	7.85065	−	13.5977i	0.292576	−	0.506757i
$721$	2.03552			0.0758066
$722$	−14.0526	−	17.7347i	−0.522983	−	0.660016i
$723$	40.1294			1.49243
$724$	−6.49774	+	11.2544i	−0.241487	+	0.418267i
$725$	−0.558149	+	0.966742i	−0.0207291	+	0.0359039i
$726$	16.5419	+	28.6513i	0.613926	+	1.06335i
$727$	−2.50151	+	4.33274i	−0.0927758	+	0.160692i	−0.908678	−	0.417497i	$-0.862907\pi$
$727$	−2.50151	+	4.33274i	−0.0927758	+	0.160692i	0.815902	+	0.578190i	$0.196241\pi$
$728$	4.15613	+	7.19864i	0.154037	+	0.266799i
$729$	−18.2986			−0.677725
$730$	−4.43405			−0.164112
$731$	14.5009	+	25.1162i	0.536334	+	0.928957i
$732$	−4.41565	−	7.64812i	−0.163207	−	0.282683i
$733$	−23.5259			−0.868950			−0.434475	−	0.900684i	$-0.643066\pi$
$733$	−23.5259			−0.868950			−0.434475	+	0.900684i	$0.643066\pi$
$734$	−13.9809			−0.516046
$735$	10.0997	+	17.4932i	0.372533	+	0.645246i
$736$	−4.51887	+	7.82691i	−0.166568	+	0.288504i
$737$	−19.0085	−	32.9237i	−0.700187	−	1.21276i
$738$	−31.0772	+	53.8274i	−1.14397	+	1.98141i
$739$	18.6918	−	32.3752i	0.687590	−	1.19094i	−0.285026	−	0.958520i	$-0.592002\pi$
$739$	18.6918	−	32.3752i	0.687590	−	1.19094i	0.972615	−	0.232421i	$-0.0746646\pi$
$740$	2.19468			0.0806779
$741$	48.7559	−	33.1299i	1.79109	−	1.21706i
$742$	6.12932			0.225014
$743$	−5.19430	+	8.99679i	−0.190560	+	0.330060i	−0.945436	−	0.325808i	$-0.894364\pi$
$743$	−5.19430	+	8.99679i	−0.190560	+	0.330060i	0.754876	+	0.655868i	$0.227697\pi$
$744$	29.1797	−	50.5407i	1.06978	−	1.85291i
$745$	−1.88653	−	3.26757i	−0.0691173	−	0.119715i
$746$	8.64539	−	14.9742i	0.316530	−	0.548246i
$747$	6.66797	+	11.5493i	0.243968	+	0.422566i
$748$	−7.57556			−0.276990
$749$	−5.79725			−0.211827
$750$	1.81445	+	3.14272i	0.0662544	+	0.114756i
$751$	15.6413	+	27.0915i	0.570758	+	0.988581i	0.996488	+	0.0837314i	$0.0266838\pi$
$751$	15.6413	+	27.0915i	0.570758	+	0.988581i	−0.425731	+	0.904850i	$0.639983\pi$
$752$	14.7014			0.536105
$753$	−52.7927			−1.92387
$754$	2.94996	+	5.10947i	0.107431	+	0.186076i
$755$	4.75781	−	8.24077i	0.173154	−	0.299912i
$756$	−1.77379	−	3.07230i	−0.0645122	−	0.111738i
$757$	6.31205	−	10.9328i	0.229415	−	0.397359i	−0.728220	−	0.685344i	$-0.759652\pi$
$757$	6.31205	−	10.9328i	0.229415	−	0.397359i	0.957635	+	0.287985i	$0.0929853\pi$
$758$	−3.92419	+	6.79689i	−0.142533	+	0.246874i
$759$	−38.9137			−1.41248
$760$	0.980664	+	13.3660i	0.0355724	+	0.484836i
$761$	11.5495			0.418668			0.209334	−	0.977844i	$-0.432870\pi$
$761$	11.5495			0.418668			0.209334	+	0.977844i	$0.432870\pi$
$762$	4.18320	−	7.24551i	0.151541	−	0.262477i
$763$	1.68850	−	2.92457i	0.0611279	−	0.105877i
$764$	0.650861	+	1.12732i	0.0235473	+	0.0407851i
$765$	−9.12440	+	15.8039i	−0.329893	+	0.571392i
$766$	−1.70849	−	2.95918i	−0.0617301	−	0.106920i
$767$	45.4267			1.64026
$768$	−38.5951			−1.39268
$769$	13.4603	+	23.3140i	0.485392	+	0.840724i	0.999859	−	0.0167864i	$-0.00534353\pi$
$769$	13.4603	+	23.3140i	0.485392	+	0.840724i	−0.514467	+	0.857510i	$0.672010\pi$
$770$	−1.62693	−	2.81793i	−0.0586306	−	0.101551i
$771$	−17.3067			−0.623286
$772$	2.64286			0.0951184
$773$	−10.6666	−	18.4750i	−0.383649	−	0.664500i	0.607932	−	0.793989i	$-0.291999\pi$
$773$	−10.6666	−	18.4750i	−0.383649	−	0.664500i	−0.991581	+	0.129489i	$0.958666\pi$
$774$	−37.3838	+	64.7506i	−1.34373	+	2.32741i
$775$	3.11454	+	5.39454i	0.111877	+	0.193778i
$776$	14.8697	−	25.7550i	0.533790	−	0.924552i
$777$	−3.50151	+	6.06479i	−0.125616	+	0.217573i
$778$	7.54024			0.270331
$779$	−2.64851	−	36.0979i	−0.0948926	−	1.29334i
$780$	−7.86699			−0.281683
$781$	−26.0586	+	45.1348i	−0.932450	+	1.61505i
$782$	−4.92252	+	8.52605i	−0.176029	+	0.304891i
$783$	−5.58747	−	9.67779i	−0.199680	−	0.345856i
$784$	−8.27989	+	14.3412i	−0.295710	+	0.512185i
$785$	1.72822	+	2.99336i	0.0616827	+	0.106838i
$786$	46.8786			1.67210
$787$	3.52489			0.125649			0.0628243	−	0.998025i	$-0.479989\pi$
$787$	3.52489			0.125649			0.0628243	+	0.998025i	$0.479989\pi$
$788$	−5.59151	−	9.68478i	−0.199189	−	0.345006i
$789$	−8.61990	−	14.9301i	−0.306877	−	0.531526i
$790$	−10.7636			−0.382953
$791$	−0.938948			−0.0333852
$792$	−43.3373	−	75.0624i	−1.53992	−	2.66723i
$793$	11.0550	−	19.1479i	0.392575	−	0.679961i
$794$	−18.1911	−	31.5078i	−0.645576	−	1.11817i
$795$	−12.8723	+	22.2956i	−0.456535	+	0.790742i
$796$	−1.78911	+	3.09882i	−0.0634132	+	0.109835i
$797$	−39.0084			−1.38175			−0.690875	−	0.722974i	$-0.742774\pi$
$797$	−39.0084			−1.38175			−0.690875	+	0.722974i	$0.742774\pi$
$798$	−8.67516	−	4.19443i	−0.307097	−	0.148481i
$799$	−17.0867			−0.604484
$800$	1.58710	−	2.74893i	0.0561123	−	0.0971894i
$801$	−24.9278	+	43.1763i	−0.880782	+	1.52556i
$802$	18.0674	+	31.2937i	0.637983	+	1.10502i
$803$	−8.34969	+	14.4621i	−0.294654	+	0.510356i
$804$	7.51261	+	13.0122i	0.264949	+	0.458906i
$805$	1.73448			0.0611323
$806$	32.9222			1.15964
$807$	36.5535	+	63.3126i	1.28675	+	2.22871i
$808$	1.49313	+	2.58618i	0.0525282	+	0.0909814i
$809$	50.7196			1.78321			0.891604	−	0.452816i	$-0.149581\pi$
$809$	50.7196			1.78321			0.891604	+	0.452816i	$0.149581\pi$
$810$	−13.8725			−0.487429
$811$	−14.5188	−	25.1473i	−0.509824	−	0.883041i	−0.999935	−	0.0113812i	$-0.996377\pi$
$811$	−14.5188	−	25.1473i	−0.509824	−	0.883041i	0.490111	−	0.871660i	$-0.336956\pi$
$812$	−0.197796	+	0.342592i	−0.00694127	+	0.0120226i
$813$	32.4516	+	56.2078i	1.13813	+	1.97129i
$814$	−10.0757	+	17.4515i	−0.353151	+	0.611676i
$815$	−3.32641	+	5.76152i	−0.116519	+	0.201817i
$816$	−22.1015			−0.773706
$817$	−3.18597	−	43.4233i	−0.111463	−	1.51919i
$818$	17.8310			0.623445
$819$	8.49614	−	14.7158i	0.296879	−	0.514210i
$820$	−2.41527	+	4.18337i	−0.0843449	+	0.146090i
$821$	−16.4939	−	28.5682i	−0.575640	−	0.997038i	−0.995972	−	0.0896677i	$-0.971420\pi$
$821$	−16.4939	−	28.5682i	−0.575640	−	0.997038i	0.420331	−	0.907371i	$-0.361914\pi$
$822$	−23.1044	+	40.0180i	−0.805859	+	1.39579i
$823$	13.2767	+	22.9959i	0.462796	+	0.801586i	0.999099	−	0.0424397i	$-0.0135130\pi$
$823$	13.2767	+	22.9959i	0.462796	+	0.801586i	−0.536303	+	0.844025i	$0.680180\pi$
$824$	−10.2736			−0.357898
$825$	13.6671			0.475826
$826$	−3.71292	−	6.43096i	−0.129189	−	0.223762i
$827$	16.3833	+	28.3767i	0.569703	+	0.986754i	0.996595	+	0.0824515i	$0.0262750\pi$
$827$	16.3833	+	28.3767i	0.569703	+	0.986754i	−0.426892	+	0.904302i	$0.640392\pi$
$828$	10.4106			0.361792
$829$	32.4548			1.12720			0.563601	−	0.826047i	$-0.309416\pi$
$829$	32.4548			1.12720			0.563601	+	0.826047i	$0.309416\pi$
$830$	−1.26343	−	2.18832i	−0.0438542	−	0.0759576i
$831$	1.25103	−	2.16685i	0.0433978	−	0.0751671i
$832$	−19.4748	−	33.7314i	−0.675168	−	1.16943i
$833$	9.62329	−	16.6680i	0.333427	−	0.577513i
$834$	19.2489	−	33.3401i	0.666536	−	1.15447i
$835$	−16.4555			−0.569466
$836$	10.2391	+	4.95061i	0.354127	+	0.171220i
$837$	−62.3576			−2.15539
$838$	−3.67645	+	6.36780i	−0.127001	+	0.219972i
$839$	17.6049	−	30.4926i	0.607788	−	1.05272i	−0.383816	−	0.923410i	$-0.625390\pi$
$839$	17.6049	−	30.4926i	0.607788	−	1.05272i	0.991604	−	0.129310i	$-0.0412763\pi$
$840$	2.85364	+	4.94265i	0.0984600	+	0.170538i
$841$	13.8769	−	24.0356i	0.478515	−	0.828813i
$842$	−16.4005	−	28.4065i	−0.565198	−	0.978952i
$843$	−1.79015			−0.0616560
$844$	−7.38408			−0.254171
$845$	−3.34790	−	5.79874i	−0.115171	−	0.199483i
$846$	−22.0251	−	38.1486i	−0.757238	−	1.31158i
$847$	−5.55368			−0.190827
$848$	−21.1059			−0.724779
$849$	−47.1434	−	81.6547i	−1.61796	−	2.80238i
$850$	1.72886	−	2.99448i	0.0592995	−	0.102710i
$851$	−5.37084	−	9.30257i	−0.184110	−	0.318888i
$852$	10.2990	−	17.8383i	0.352837	−	0.611132i
$853$	0.894126	−	1.54867i	0.0306143	−	0.0530255i	−0.850312	−	0.526278i	$-0.823587\pi$
$853$	0.894126	−	1.54867i	0.0306143	−	0.0530255i	0.880927	+	0.473253i	$0.156920\pi$
$854$	−3.61430			−0.123679
$855$	22.6603	−	15.3978i	0.774967	−	0.526594i
$856$	29.2597			1.00008
$857$	−1.80690	+	3.12964i	−0.0617224	+	0.106906i	−0.895235	−	0.445594i	$-0.852993\pi$
$857$	−1.80690	+	3.12964i	−0.0617224	+	0.106906i	0.833513	+	0.552500i	$0.186326\pi$
$858$	36.1170	−	62.5564i	1.23301	−	2.13564i
$859$	12.6824	+	21.9666i	0.432719	+	0.749491i	0.997106	−	0.0760192i	$-0.0242210\pi$
$859$	12.6824	+	21.9666i	0.432719	+	0.749491i	−0.564388	+	0.825510i	$0.690888\pi$
$860$	−2.90540	+	5.03231i	−0.0990735	+	0.171600i
$861$	−7.70691	−	13.3488i	−0.262651	−	0.454924i
$862$	17.9337			0.610824
$863$	−29.9878			−1.02080			−0.510398	−	0.859939i	$-0.670502\pi$
$863$	−29.9878			−1.02080			−0.510398	+	0.859939i	$0.670502\pi$
$864$	15.8880	+	27.5188i	0.540520	+	0.936209i
$865$	11.3912	+	19.7302i	0.387313	+	0.670846i
$866$	1.15618			0.0392887
$867$	−26.1145			−0.886895
$868$	1.10372	+	1.91171i	0.0374628	+	0.0648875i
$869$	−20.2688	+	35.1067i	−0.687573	+	1.19091i
$870$	2.02547	+	3.50822i	0.0686698	+	0.118940i
$871$	−18.8086	+	32.5774i	−0.637305	+	1.10384i
$872$	−8.52216	+	14.7608i	−0.288597	+	0.499864i
$873$	−60.7945			−2.05758
$874$	12.2250	−	8.30695i	0.413517	−	0.280987i
$875$	−0.609175			−0.0205939
$876$	3.30000	−	5.71576i	0.111497	−	0.193118i
$877$	−5.32389	+	9.22125i	−0.179775	+	0.311380i	−0.941803	−	0.336164i	$-0.890870\pi$
$877$	−5.32389	+	9.22125i	−0.179775	+	0.311380i	0.762028	+	0.647544i	$0.224204\pi$
$878$	−16.3378	−	28.2979i	−0.551374	−	0.955007i
$879$	−5.73281	+	9.92951i	−0.193363	+	0.334914i
$880$	5.60224	+	9.70336i	0.188851	+	0.327100i
$881$	−31.5797			−1.06395			−0.531973	−	0.846761i	$-0.678549\pi$
$881$	−31.5797			−1.06395			−0.531973	+	0.846761i	$0.678549\pi$
$882$	49.6185			1.67074
$883$	−8.50871	−	14.7375i	−0.286341	−	0.495957i	0.686593	−	0.727042i	$-0.259106\pi$
$883$	−8.50871	−	14.7375i	−0.286341	−	0.495957i	−0.972933	+	0.231085i	$0.925772\pi$
$884$	3.74795	+	6.49163i	0.126057	+	0.218337i
$885$	31.1904			1.04845
$886$	10.4388			0.350700
$887$	6.61451	+	11.4567i	0.222093	+	0.384677i	0.955443	−	0.295174i	$-0.0953777\pi$
$887$	6.61451	+	11.4567i	0.222093	+	0.384677i	−0.733350	+	0.679851i	$0.762044\pi$
$888$	17.6727	−	30.6100i	0.593057	−	1.02721i
$889$	0.702223	+	1.21629i	0.0235518	+	0.0407929i
$890$	4.72325	−	8.18090i	0.158324	−	0.274225i
$891$	−26.1230	+	45.2464i	−0.875155	+	1.51581i
$892$	−13.1109			−0.438985
$893$	23.0943	+	11.1661i	0.772823	+	0.373659i
$894$	−13.6921			−0.457933
$895$	1.16458	−	2.01711i	0.0389277	−	0.0674247i
$896$	−1.24988	+	2.16486i	−0.0417557	+	0.0723229i
$897$	19.2522	+	33.3458i	0.642812	+	1.11338i
$898$	−5.73659	+	9.93607i	−0.191433	+	0.331571i
$899$	3.47675	+	6.02191i	0.115956	+	0.200842i
$900$	−3.65635			−0.121878
$901$	24.5303			0.817222
$902$	−22.1768	−	38.4113i	−0.738406	−	1.27896i
$903$	−9.27088	−	16.0576i	−0.308516	−	0.534365i
$904$	4.73903			0.157618
$905$	−22.3392			−0.742580
$906$	−17.2656	−	29.9050i	−0.573613	−	0.993526i
$907$	7.44520	−	12.8955i	0.247214	−	0.428187i	−0.715538	−	0.698574i	$-0.753818\pi$
$907$	7.44520	−	12.8955i	0.247214	−	0.428187i	0.962752	+	0.270387i	$0.0871517\pi$
$908$	5.26829	+	9.12494i	0.174834	+	0.302822i
$909$	3.05232	−	5.28678i	0.101239	−	0.175351i
$910$	−1.60982	+	2.78829i	−0.0533651	+	0.0924311i
$911$	−49.5480			−1.64160			−0.820800	−	0.571216i	$-0.806472\pi$
$911$	−49.5480			−1.64160			−0.820800	+	0.571216i	$0.806472\pi$
$912$	29.8723	+	14.4432i	0.989172	+	0.478263i
$913$	−9.51655			−0.314952
$914$	−6.35400	+	11.0055i	−0.210172	+	0.364028i
$915$	7.59049	−	13.1471i	0.250934	−	0.434630i
$916$	−2.73882	−	4.74377i	−0.0904931	−	0.156739i
$917$	−3.93469	+	6.81509i	−0.129935	+	0.225054i
$918$	17.3072	+	29.9769i	0.571222	+	0.989385i
$919$	27.3835			0.903300			0.451650	−	0.892195i	$-0.350836\pi$
$919$	27.3835			0.903300			0.451650	+	0.892195i	$0.350836\pi$
$920$	−8.75421			−0.288618
$921$	−30.9926	−	53.6807i	−1.02124	−	1.76884i
$922$	3.38623	+	5.86513i	0.111520	+	0.193158i
$923$	51.5691			1.69742
$924$	4.84331			0.159333
$925$	1.88632	+	3.26721i	0.0620219	+	0.107425i
$926$	21.0523	−	36.4637i	0.691821	−	1.19827i
$927$	10.5009	+	18.1880i	0.344893	+	0.597373i
$928$	1.77167	−	3.06863i	0.0581580	−	0.100733i
$929$	−26.0947	+	45.1973i	−0.856139	+	1.48288i	0.0194449	+	0.999811i	$0.493810\pi$
$929$	−26.0947	+	45.1973i	−0.856139	+	1.48288i	−0.875584	+	0.483066i	$0.839523\pi$
$930$	22.6047			0.741238
$931$	−23.8993	+	16.2397i	−0.783269	+	0.532234i
$932$	−9.13323			−0.299169
$933$	11.6985	−	20.2625i	0.382993	−	0.663364i
$934$	−19.5947	+	33.9390i	−0.641158	+	1.11052i
$935$	−6.51119	−	11.2777i	−0.212939	−	0.368821i
$936$	−42.8815	+	74.2729i	−1.40163	+	2.42769i
$937$	−7.78988	−	13.4925i	−0.254484	−	0.440780i	0.710271	−	0.703928i	$-0.248572\pi$
$937$	−7.78988	−	13.4925i	−0.254484	−	0.440780i	−0.964755	+	0.263149i	$0.915239\pi$
$938$	6.14922			0.200779
$939$	73.1099			2.38585
$940$	−1.71175	−	2.96484i	−0.0558312	−	0.0967025i
$941$	29.3277	+	50.7970i	0.956055	+	1.65594i	0.731936	+	0.681373i	$0.238617\pi$
$941$	29.3277	+	50.7970i	0.956055	+	1.65594i	0.224119	+	0.974562i	$0.428050\pi$
$942$	12.5431			0.408675
$943$	23.6427			0.769913
$944$	12.7852	+	22.1446i	0.416122	+	0.720745i
$945$	3.04914	−	5.28127i	0.0991886	−	0.171800i
$946$	−26.6771	−	46.2062i	−0.867349	−	1.50229i
$947$	−6.15326	+	10.6578i	−0.199954	+	0.346331i	−0.948513	−	0.316737i	$-0.897413\pi$
$947$	−6.15326	+	10.6578i	−0.199954	+	0.346331i	0.748559	+	0.663068i	$0.230746\pi$
$948$	8.01072	−	13.8750i	0.260176	−	0.450638i
$949$	16.5238			0.536384
$950$	−4.29361	+	2.91753i	−0.139303	+	0.0946571i
$951$	3.16612			0.102668
$952$	2.71903	−	4.70950i	0.0881244	−	0.152636i
$953$	−4.13499	+	7.16201i	−0.133945	+	0.232000i	−0.925194	−	0.379494i	$-0.876098\pi$
$953$	−4.13499	+	7.16201i	−0.133945	+	0.232000i	0.791249	+	0.611494i	$0.209431\pi$
$954$	31.6200	+	54.7675i	1.02374	+	1.77316i
$955$	−1.11883	+	1.93787i	−0.0362044	+	0.0627079i
$956$	−6.82403	−	11.8196i	−0.220705	−	0.382272i
$957$	15.2565			0.493173
$958$	10.7863			0.348490
$959$	−3.87848	−	6.71773i	−0.125243	−	0.216927i
$960$	−13.3716	−	23.1603i	−0.431567	−	0.747496i
$961$	7.80138			0.251657
$962$	19.9394			0.642871
$963$	−29.9070	−	51.8004i	−0.963738	−	1.66924i
$964$	3.83054	−	6.63469i	0.123373	−	0.213689i
$965$	2.27153	+	3.93441i	0.0731232	+	0.126653i
$966$	3.14713	−	5.45099i	0.101257	−	0.175383i
$967$	−7.11235	+	12.3190i	−0.228718	+	0.396151i	−0.957428	−	0.288671i	$-0.906787\pi$
$967$	−7.11235	+	12.3190i	−0.228718	+	0.396151i	0.728711	+	0.684822i	$0.240120\pi$
$968$	28.0304			0.900931
$969$	−34.7191	−	16.7866i	−1.11534	−	0.539264i
$970$	11.5191			0.369857
$971$	−4.86930	+	8.43388i	−0.156263	+	0.270656i	−0.933518	−	0.358530i	$-0.883278\pi$
$971$	−4.86930	+	8.43388i	−0.156263	+	0.270656i	0.777255	+	0.629186i	$0.216612\pi$
$972$	1.58907	−	2.75235i	0.0509694	−	0.0882816i
$973$	3.23127	+	5.59672i	0.103590	+	0.179423i
$974$	−9.83727	+	17.0387i	−0.315207	+	0.545954i
$975$	−6.76167	−	11.7115i	−0.216547	−	0.375070i
$976$	12.4456			0.398374
$977$	−6.35308			−0.203253			−0.101627	−	0.994823i	$-0.532405\pi$
$977$	−6.35308			−0.203253			−0.101627	+	0.994823i	$0.532405\pi$
$978$	12.0712	+	20.9080i	0.385996	+	0.668564i
$979$	−17.7885	−	30.8107i	−0.568524	−	0.984713i
$980$	3.85626			0.123184
$981$	34.8427			1.11244
$982$	−0.828426	−	1.43488i	−0.0264361	−	0.0457887i
$983$	−4.94043	+	8.55708i	−0.157575	+	0.272929i	−0.933994	−	0.357289i	$-0.883701\pi$
$983$	−4.94043	+	8.55708i	−0.157575	+	0.272929i	0.776418	+	0.630218i	$0.217034\pi$
$984$	38.8981	+	67.3735i	1.24003	+	2.14779i
$985$	9.61179	−	16.6481i	0.306257	−	0.530453i
$986$	1.92993	−	3.34273i	0.0614613	−	0.106454i
$987$	10.9241			0.347718
$988$	−0.823458	−	11.2234i	−0.0261977	−	0.357062i
$989$	28.4406			0.904358
$990$	16.7861	−	29.0744i	0.533498	−	0.924045i
$991$	−18.6675	+	32.3331i	−0.592993	+	1.02709i	0.400834	+	0.916151i	$0.368720\pi$
$991$	−18.6675	+	32.3331i	−0.592993	+	1.02709i	−0.993827	+	0.110943i	$0.964613\pi$
$992$	−9.88614	−	17.1233i	−0.313885	−	0.543665i
$993$	−46.9745	+	81.3623i	−1.49069	+	2.58195i
$994$	−4.21496	−	7.30053i	−0.133690	−	0.231559i
$995$	−6.15094			−0.194998
$996$	3.76117			0.119177
$997$	21.8474	+	37.8408i	0.691914	+	1.19843i	0.971210	+	0.238225i	$0.0765656\pi$
$997$	21.8474	+	37.8408i	0.691914	+	1.19843i	−0.279296	+	0.960205i	$0.590101\pi$
$998$	−9.92332	−	17.1877i	−0.314117	−	0.544067i
$999$	−37.7669			−1.19489

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.e.c.11.3	✓	8
3.2	odd	2		855.2.k.h.676.2		8
4.3	odd	2		1520.2.q.o.961.4		8
5.2	odd	4		475.2.j.c.49.6		16
5.3	odd	4		475.2.j.c.49.3		16
5.4	even	2		475.2.e.e.201.2		8
19.7	even	3	inner	95.2.e.c.26.3	yes	8
19.8	odd	6		1805.2.a.i.1.3		4
19.11	even	3		1805.2.a.o.1.2		4
57.26	odd	6		855.2.k.h.406.2		8
76.7	odd	6		1520.2.q.o.881.4		8
95.7	odd	12		475.2.j.c.349.3		16
95.49	even	6		9025.2.a.bg.1.3		4
95.64	even	6		475.2.e.e.26.2		8
95.83	odd	12		475.2.j.c.349.6		16
95.84	odd	6		9025.2.a.bp.1.2		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.e.c.11.3	✓	8	1.1	even	1	trivial
95.2.e.c.26.3	yes	8	19.7	even	3	inner
475.2.e.e.26.2		8	95.64	even	6
475.2.e.e.201.2		8	5.4	even	2
475.2.j.c.49.3		16	5.3	odd	4
475.2.j.c.49.6		16	5.2	odd	4
475.2.j.c.349.3		16	95.7	odd	12
475.2.j.c.349.6		16	95.83	odd	12
855.2.k.h.406.2		8	57.26	odd	6
855.2.k.h.676.2		8	3.2	odd	2
1520.2.q.o.881.4		8	76.7	odd	6
1520.2.q.o.961.4		8	4.3	odd	2
1805.2.a.i.1.3		4	19.8	odd	6
1805.2.a.o.1.2		4	19.11	even	3
9025.2.a.bg.1.3		4	95.49	even	6
9025.2.a.bp.1.2		4	95.84	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)

\(f(q)\)	\(=\)	\(q+(0.595455 - 1.03136i) q^{2} +(-1.52359 + 2.63893i) q^{3} +(0.290867 + 0.503797i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(1.81445 + 3.14272i) q^{6} -0.609175 q^{7} +3.07461 q^{8} +(-3.14263 - 5.44319i) q^{9} +O(q^{10})\)	\(q+(0.595455 - 1.03136i) q^{2} +(-1.52359 + 2.63893i) q^{3} +(0.290867 + 0.503797i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(1.81445 + 3.14272i) q^{6} -0.609175 q^{7} +3.07461 q^{8} +(-3.14263 - 5.44319i) q^{9} +(0.595455 + 1.03136i) q^{10} +4.48517 q^{11} -1.77264 q^{12} +(-2.21900 - 3.84342i) q^{13} +(-0.362736 + 0.628278i) q^{14} +(-1.52359 - 2.63893i) q^{15} +(1.24906 - 2.16343i) q^{16} +(-1.45172 + 2.51445i) q^{17} -7.48517 q^{18} +(3.60532 - 2.44983i) q^{19} -0.581734 q^{20} +(0.928131 - 1.60757i) q^{21} +(2.67071 - 4.62581i) q^{22} +(1.42363 + 2.46580i) q^{23} +(-4.68443 + 8.11368i) q^{24} +(-0.500000 - 0.866025i) q^{25} -5.28525 q^{26} +10.0107 q^{27} +(-0.177189 - 0.306901i) q^{28} +(-0.558149 - 0.966742i) q^{29} -3.62891 q^{30} -6.22908 q^{31} +(1.58710 + 2.74893i) q^{32} +(-6.83354 + 11.8360i) q^{33} +(1.72886 + 2.99448i) q^{34} +(0.304588 - 0.527561i) q^{35} +(1.82817 - 3.16649i) q^{36} -3.77264 q^{37} +(-0.379847 - 5.17714i) q^{38} +13.5233 q^{39} +(-1.53731 + 2.66269i) q^{40} +(4.15184 - 7.19120i) q^{41} +(-1.10532 - 1.91447i) q^{42} +(4.99438 - 8.65053i) q^{43} +(1.30459 + 2.25961i) q^{44} +6.28525 q^{45} +3.39082 q^{46} +(2.94250 + 5.09656i) q^{47} +(3.80609 + 6.59235i) q^{48} -6.62891 q^{49} -1.19091 q^{50} +(-4.42363 - 7.66195i) q^{51} +(1.29087 - 2.23585i) q^{52} +(-4.22436 - 7.31681i) q^{53} +(5.96093 - 10.3246i) q^{54} +(-2.24258 + 3.88427i) q^{55} -1.87298 q^{56} +(0.971912 + 13.2467i) q^{57} -1.32941 q^{58} +(-5.11793 + 8.86451i) q^{59} +(0.886322 - 1.53515i) q^{60} +(2.49099 + 4.31453i) q^{61} +(-3.70913 + 6.42441i) q^{62} +(1.91441 + 3.31586i) q^{63} +8.77641 q^{64} +4.43800 q^{65} +(8.13812 + 14.0956i) q^{66} +(-4.23808 - 7.34057i) q^{67} -1.68903 q^{68} -8.67608 q^{69} +(-0.362736 - 0.628278i) q^{70} +(-5.80995 + 10.0631i) q^{71} +(-9.66236 - 16.7357i) q^{72} +(-1.86162 + 3.22443i) q^{73} +(-2.24644 + 3.89095i) q^{74} +3.04717 q^{75} +(2.28289 + 1.10377i) q^{76} -2.73225 q^{77} +(8.05253 - 13.9474i) q^{78} +(-4.51908 + 7.82728i) q^{79} +(1.24906 + 2.16343i) q^{80} +(-5.82432 + 10.0880i) q^{81} +(-4.94447 - 8.56407i) q^{82} -2.12178 q^{83} +1.07985 q^{84} +(-1.45172 - 2.51445i) q^{85} +(-5.94786 - 10.3020i) q^{86} +3.40155 q^{87} +13.7901 q^{88} +(-3.96608 - 6.86946i) q^{89} +(3.74258 - 6.48234i) q^{90} +(1.35176 + 2.34131i) q^{91} +(-0.828173 + 1.43444i) q^{92} +(9.49053 - 16.4381i) q^{93} +7.00850 q^{94} +(0.318955 + 4.34721i) q^{95} -9.67231 q^{96} +(4.83628 - 8.37668i) q^{97} +(-3.94721 + 6.83677i) q^{98} +(-14.0952 - 24.4136i) 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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