LMFDB - Embedded newform 95.2.e.c.26.4

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			26.4
Root			$1.07988 + 1.87040i$ of defining polynomial
Character	$\chi$	$=$	95.26
Dual form			95.2.e.c.11.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.832272 + 1.44154i) q^{2} +(0.579878 + 1.00438i) q^{3} +(-0.385355 + 0.667454i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.965233 + 1.67183i) q^{6} -2.43525 q^{7} +2.04621 q^{8} +(0.827483 - 1.43324i) q^{9} +O(q^{10})$	\(q+(0.832272 + 1.44154i) q^{2} +(0.579878 + 1.00438i) q^{3} +(-0.385355 + 0.667454i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.965233 + 1.67183i) q^{6} -2.43525 q^{7} +2.04621 q^{8} +(0.827483 - 1.43324i) q^{9} +(0.832272 - 1.44154i) q^{10} -5.75477 q^{11} -0.893835 q^{12} +(0.797505 - 1.38132i) q^{13} +(-2.02680 - 3.51051i) q^{14} +(0.579878 - 1.00438i) q^{15} +(2.47371 + 4.28460i) q^{16} +(2.99203 + 5.18234i) q^{17} +2.75477 q^{18} +(0.149412 - 4.35634i) q^{19} +0.770710 q^{20} +(-1.41215 - 2.44592i) q^{21} +(-4.78953 - 8.29572i) q^{22} +(0.470022 - 0.814102i) q^{23} +(1.18655 + 2.05517i) q^{24} +(-0.500000 + 0.866025i) q^{25} +2.65497 q^{26} +5.39862 q^{27} +(0.938437 - 1.62542i) q^{28} +(-1.30917 + 2.26755i) q^{29} +1.93047 q^{30} -5.26913 q^{31} +(-2.07140 + 3.58777i) q^{32} +(-3.33706 - 5.77996i) q^{33} +(-4.98037 + 8.62625i) q^{34} +(1.21763 + 2.10899i) q^{35} +(0.637749 + 1.10461i) q^{36} -2.89384 q^{37} +(6.40418 - 3.41028i) q^{38} +1.84982 q^{39} +(-1.02310 - 1.77207i) q^{40} +(3.15767 + 5.46925i) q^{41} +(2.35059 - 4.07134i) q^{42} +(-2.26961 - 3.93108i) q^{43} +(2.21763 - 3.84104i) q^{44} -1.65497 q^{45} +1.56475 q^{46} +(-4.47718 + 7.75471i) q^{47} +(-2.86890 + 4.96909i) q^{48} -1.06953 q^{49} -1.66454 q^{50} +(-3.47002 + 6.01025i) q^{51} +(0.614645 + 1.06460i) q^{52} +(1.09819 - 1.90213i) q^{53} +(4.49313 + 7.78232i) q^{54} +(2.87738 + 4.98377i) q^{55} -4.98304 q^{56} +(4.46205 - 2.37608i) q^{57} -4.35834 q^{58} +(5.39939 + 9.35202i) q^{59} +(0.446918 + 0.774084i) q^{60} +(5.26434 - 9.11811i) q^{61} +(-4.38535 - 7.59566i) q^{62} +(-2.01513 + 3.49031i) q^{63} +2.99898 q^{64} -1.59501 q^{65} +(5.55469 - 9.62100i) q^{66} +(-0.504789 + 0.874320i) q^{67} -4.61197 q^{68} +1.09022 q^{69} +(-2.02680 + 3.51051i) q^{70} +(-4.41694 - 7.65036i) q^{71} +(1.69320 - 2.93271i) q^{72} +(5.12499 + 8.87674i) q^{73} +(-2.40846 - 4.17157i) q^{74} -1.15976 q^{75} +(2.85008 + 1.77846i) q^{76} +14.0143 q^{77} +(1.53956 + 2.66659i) q^{78} +(-3.80229 - 6.58577i) q^{79} +(2.47371 - 4.28460i) q^{80} +(0.648093 + 1.12253i) q^{81} +(-5.25609 + 9.10381i) q^{82} +3.11355 q^{83} +2.17672 q^{84} +(2.99203 - 5.18234i) q^{85} +(3.77787 - 6.54346i) q^{86} -3.03663 q^{87} -11.7755 q^{88} +(5.55706 - 9.62511i) q^{89} +(-1.37738 - 2.38570i) q^{90} +(-1.94213 + 3.36387i) q^{91} +(0.362251 + 0.627436i) q^{92} +(-3.05545 - 5.29220i) q^{93} -14.9049 q^{94} +(-3.84741 + 2.04877i) q^{95} -4.80463 q^{96} +(-2.02888 - 3.51412i) q^{97} +(-0.890144 - 1.54177i) q^{98} +(-4.76197 + 8.24798i) 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 $

$2$	0.832272	+	1.44154i	0.588506	+	1.01932i	0.994428	+	0.105414i	$0.0336168\pi$
$2$	0.832272	+	1.44154i	0.588506	+	1.01932i	−0.405923	+	0.913907i	$0.633050\pi$
$3$	0.579878	+	1.00438i	0.334793	+	0.579878i	0.983445	−	0.181207i	$-0.0580004\pi$
$3$	0.579878	+	1.00438i	0.334793	+	0.579878i	−0.648652	+	0.761085i	$0.724667\pi$
$4$	−0.385355	+	0.667454i	−0.192677	+	0.333727i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−0.965233	+	1.67183i	−0.394055	+	0.682523i
$7$	−2.43525			−0.920440			−0.460220	−	0.887805i	$-0.652229\pi$
$7$	−2.43525			−0.920440			−0.460220	+	0.887805i	$0.652229\pi$
$8$	2.04621			0.723444
$9$	0.827483	−	1.43324i	0.275828	−	0.477748i
$10$	0.832272	−	1.44154i	0.263188	−	0.455854i
$11$	−5.75477			−1.73513			−0.867564	−	0.497326i	$-0.834315\pi$
$11$	−5.75477			−1.73513			−0.867564	+	0.497326i	$0.834315\pi$
$12$	−0.893835			−0.258028
$13$	0.797505	−	1.38132i	0.221188	−	0.383109i	−0.733981	−	0.679170i	$-0.762340\pi$
$13$	0.797505	−	1.38132i	0.221188	−	0.383109i	0.955169	+	0.296061i	$0.0956732\pi$
$14$	−2.02680	−	3.51051i	−0.541684	−	0.938224i
$15$	0.579878	−	1.00438i	0.149724	−	0.259329i
$16$	2.47371	+	4.28460i	0.618428	+	1.07115i
$17$	2.99203	+	5.18234i	0.725673	+	1.25690i	0.958696	+	0.284432i	$0.0918050\pi$
$17$	2.99203	+	5.18234i	0.725673	+	1.25690i	−0.233023	+	0.972471i	$0.574862\pi$
$18$	2.75477			0.649305
$19$	0.149412	−	4.35634i	0.0342775	−	0.999412i
$19$	0.149412	−	4.35634i	0.0342775	−	0.999412i
$20$	0.770710			0.172336
$21$	−1.41215	−	2.44592i	−0.308156	−	0.533743i
$22$	−4.78953	−	8.29572i	−1.02113	−	1.76865i
$23$	0.470022	−	0.814102i	0.0980064	−	0.169752i	−0.812853	−	0.582469i	$-0.802087\pi$
$23$	0.470022	−	0.814102i	0.0980064	−	0.169752i	0.910859	+	0.412717i	$0.135420\pi$
$24$	1.18655	+	2.05517i	0.242204	+	0.419509i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	2.65497			0.520682
$27$	5.39862			1.03897
$28$	0.938437	−	1.62542i	0.177348	−	0.307176i
$29$	−1.30917	+	2.26755i	−0.243106	+	0.421073i	−0.961598	−	0.274463i	$-0.911500\pi$
$29$	−1.30917	+	2.26755i	−0.243106	+	0.421073i	0.718491	+	0.695536i	$0.244833\pi$
$30$	1.93047			0.352453
$31$	−5.26913			−0.946364			−0.473182	−	0.880965i	$-0.656895\pi$
$31$	−5.26913			−0.946364			−0.473182	+	0.880965i	$0.656895\pi$
$32$	−2.07140	+	3.58777i	−0.366175	+	0.634233i
$33$	−3.33706	−	5.77996i	−0.580908	−	1.00616i
$34$	−4.98037	+	8.62625i	−0.854126	+	1.47939i
$35$	1.21763	+	2.10899i	0.205817	+	0.356485i
$36$	0.637749	+	1.10461i	0.106292	+	0.184102i
$37$	−2.89384			−0.475744			−0.237872	−	0.971297i	$-0.576450\pi$
$37$	−2.89384			−0.475744			−0.237872	+	0.971297i	$0.576450\pi$
$38$	6.40418	−	3.41028i	1.03889	−	0.553220i
$39$	1.84982			0.296209
$40$	−1.02310	−	1.77207i	−0.161767	−	0.280189i
$41$	3.15767	+	5.46925i	0.493145	+	0.854153i	0.999969	−	0.00789701i	$-0.00251372\pi$
$41$	3.15767	+	5.46925i	0.493145	+	0.854153i	−0.506823	+	0.862050i	$0.669180\pi$
$42$	2.35059	−	4.07134i	0.362704	−	0.628221i
$43$	−2.26961	−	3.93108i	−0.346113	−	0.599485i	0.639443	−	0.768839i	$-0.279165\pi$
$43$	−2.26961	−	3.93108i	−0.346113	−	0.599485i	−0.985555	+	0.169354i	$0.945832\pi$
$44$	2.21763	−	3.84104i	0.334320	−	0.579059i
$45$	−1.65497			−0.246708
$46$	1.56475			0.230709
$47$	−4.47718	+	7.75471i	−0.653064	+	1.13114i	0.329311	+	0.944221i	$0.393184\pi$
$47$	−4.47718	+	7.75471i	−0.653064	+	1.13114i	−0.982375	+	0.186919i	$0.940150\pi$
$48$	−2.86890	+	4.96909i	−0.414090	+	0.717226i
$49$	−1.06953			−0.152791
$50$	−1.66454			−0.235402
$51$	−3.47002	+	6.01025i	−0.485900	+	0.841604i
$52$	0.614645	+	1.06460i	0.0852359	+	0.147633i
$53$	1.09819	−	1.90213i	0.150848	−	0.261277i	−0.780691	−	0.624917i	$-0.785133\pi$
$53$	1.09819	−	1.90213i	0.150848	−	0.261277i	0.931540	+	0.363640i	$0.118466\pi$
$54$	4.49313	+	7.78232i	0.611437	+	1.05904i
$55$	2.87738	+	4.98377i	0.387986	+	0.672012i
$56$	−4.98304			−0.665887
$57$	4.46205	−	2.37608i	0.591013	−	0.314719i
$58$	−4.35834			−0.572278
$59$	5.39939	+	9.35202i	0.702941	+	1.21753i	0.967430	+	0.253140i	$0.0814634\pi$
$59$	5.39939	+	9.35202i	0.702941	+	1.21753i	−0.264489	+	0.964389i	$0.585203\pi$
$60$	0.446918	+	0.774084i	0.0576968	+	0.0999338i
$61$	5.26434	−	9.11811i	0.674030	−	1.16745i	−0.302721	−	0.953079i	$-0.597895\pi$
$61$	5.26434	−	9.11811i	0.674030	−	1.16745i	0.976751	−	0.214375i	$-0.0687716\pi$
$62$	−4.38535	−	7.59566i	−0.556941	−	0.964649i
$63$	−2.01513	+	3.49031i	−0.253883	+	0.439738i
$64$	2.99898			0.374873
$65$	−1.59501			−0.197837
$66$	5.55469	−	9.62100i	0.683735	−	1.18426i
$67$	−0.504789	+	0.874320i	−0.0616698	+	0.106815i	−0.895212	−	0.445641i	$-0.852976\pi$
$67$	−0.504789	+	0.874320i	−0.0616698	+	0.106815i	0.833542	+	0.552456i	$0.186309\pi$
$68$	−4.61197			−0.559284
$69$	1.09022			0.131247
$70$	−2.02680	+	3.51051i	−0.242248	+	0.419587i
$71$	−4.41694	−	7.65036i	−0.524194	−	0.907931i	−0.999603	−	0.0281662i	$-0.991033\pi$
$71$	−4.41694	−	7.65036i	−0.524194	−	0.907931i	0.475409	−	0.879765i	$-0.342300\pi$
$72$	1.69320	−	2.93271i	0.199546	−	0.345624i
$73$	5.12499	+	8.87674i	0.599835	+	1.03894i	0.992845	+	0.119410i	$0.0381003\pi$
$73$	5.12499	+	8.87674i	0.599835	+	1.03894i	−0.393011	+	0.919534i	$0.628566\pi$
$74$	−2.40846	−	4.17157i	−0.279978	−	0.484936i
$75$	−1.15976			−0.133917
$76$	2.85008	+	1.77846i	0.326927	+	0.204004i
$77$	14.0143			1.59708
$78$	1.53956	+	2.66659i	0.174320	+	0.301932i
$79$	−3.80229	−	6.58577i	−0.427792	−	0.740957i	0.568885	−	0.822417i	$-0.307375\pi$
$79$	−3.80229	−	6.58577i	−0.427792	−	0.740957i	−0.996677	+	0.0814604i	$0.974042\pi$
$80$	2.47371	−	4.28460i	0.276570	−	0.479032i
$81$	0.648093	+	1.12253i	0.0720103	+	0.124726i
$82$	−5.25609	+	9.10381i	−0.580438	+	1.00535i
$83$	3.11355			0.341756			0.170878	−	0.985292i	$-0.445340\pi$
$83$	3.11355			0.341756			0.170878	+	0.985292i	$0.445340\pi$
$84$	2.17672			0.237499
$85$	2.99203	−	5.18234i	0.324531	−	0.562104i
$86$	3.77787	−	6.54346i	0.407378	−	0.705600i
$87$	−3.03663			−0.325561
$88$	−11.7755			−1.25527
$89$	5.55706	−	9.62511i	0.589047	−	1.02026i	−0.405310	−	0.914179i	$-0.632837\pi$
$89$	5.55706	−	9.62511i	0.589047	−	1.02026i	0.994358	−	0.106081i	$-0.0338302\pi$
$90$	−1.37738	−	2.38570i	−0.145189	−	0.251475i
$91$	−1.94213	+	3.36387i	−0.203590	+	0.352629i
$92$	0.362251	+	0.627436i	0.0377672	+	0.0654148i
$93$	−3.05545	−	5.29220i	−0.316836	−	0.548776i
$94$	−14.9049			−1.53733
$95$	−3.84741	+	2.04877i	−0.394735	+	0.210200i
$96$	−4.80463			−0.490371
$97$	−2.02888	−	3.51412i	−0.206002	−	0.356805i	0.744450	−	0.667678i	$-0.232712\pi$
$97$	−2.02888	−	3.51412i	−0.206002	−	0.356805i	−0.950451	+	0.310873i	$0.899379\pi$
$98$	−0.890144	−	1.54177i	−0.0899181	−	0.155743i
$99$	−4.76197	+	8.24798i	−0.478596	+	0.828953i
$100$	−0.385355	−	0.667454i	−0.0385355	−	0.0667454i
$101$	5.56503	−	9.63892i	0.553741	−	0.959108i	−0.444259	−	0.895898i	$-0.646533\pi$
$101$	5.56503	−	9.63892i	0.553741	−	0.959108i	0.998000	−	0.0632098i	$-0.0201337\pi$
$102$	−11.5520			−1.14382
$103$	11.5791			1.14092			0.570460	−	0.821326i	$-0.306765\pi$
$103$	11.5791			1.14092			0.570460	+	0.821326i	$0.306765\pi$
$104$	1.63186	−	2.82647i	0.160017	−	0.277158i
$105$	−1.41215	+	2.44592i	−0.137812	+	0.238697i
$106$	3.65598			0.355101
$107$	17.9177			1.73217			0.866086	−	0.499894i	$-0.166628\pi$
$107$	17.9177			1.73217			0.866086	+	0.499894i	$0.166628\pi$
$108$	−2.08039	+	3.60333i	−0.200185	+	0.346731i
$109$	−2.81235	−	4.87113i	−0.269374	−	0.466570i	0.699326	−	0.714803i	$-0.253484\pi$
$109$	−2.81235	−	4.87113i	−0.269374	−	0.466570i	−0.968700	+	0.248233i	$0.920150\pi$
$110$	−4.78953	+	8.29572i	−0.456664	+	0.790965i
$111$	−1.67807	−	2.90650i	−0.159275	−	0.275873i
$112$	−6.02412	−	10.4341i	−0.569226	−	0.985928i
$113$	−15.6789			−1.47494			−0.737472	−	0.675378i	$-0.763981\pi$
$113$	−15.6789			−1.47494			−0.737472	+	0.675378i	$0.763981\pi$
$114$	7.13885	+	4.45467i	0.668614	+	0.417218i
$115$	−0.940044			−0.0876595
$116$	−1.00899	−	1.74762i	−0.0936822	−	0.162262i
$117$	−1.31984	−	2.28604i	−0.122020	−	0.211344i
$118$	−8.98753	+	15.5669i	−0.827369	+	1.43304i
$119$	−7.28635	−	12.6203i	−0.667939	−	1.15690i
$120$	1.18655	−	2.05517i	0.108317	−	0.187610i
$121$	22.1173			2.01067
$122$	17.5255			1.58668
$123$	−3.66213	+	6.34299i	−0.330203	+	0.571928i
$124$	2.03049	−	3.51691i	0.182343	−	0.315827i
$125$	1.00000			0.0894427
$126$	−6.70856			−0.597646
$127$	−3.05996	+	5.30000i	−0.271527	+	0.470299i	−0.969253	−	0.246066i	$-0.920862\pi$
$127$	−3.05996	+	5.30000i	−0.271527	+	0.470299i	0.697726	+	0.716365i	$0.254195\pi$
$128$	6.63877	+	11.4987i	0.586790	+	1.01635i
$129$	2.63220	−	4.55910i	0.231752	−	0.401406i
$130$	−1.32748	−	2.29927i	−0.116428	−	0.201659i
$131$	7.44055	+	12.8874i	0.650084	+	1.12598i	0.983102	+	0.183058i	$0.0585997\pi$
$131$	7.44055	+	12.8874i	0.650084	+	1.12598i	−0.333018	+	0.942920i	$0.608067\pi$
$132$	5.14381			0.447711
$133$	−0.363857	+	10.6088i	−0.0315504	+	0.919899i
$134$	−1.68049			−0.145172
$135$	−2.69931	−	4.67535i	−0.232320	−	0.402390i
$136$	6.12231	+	10.6042i	0.524984	+	0.909299i
$137$	−8.67518	+	15.0258i	−0.741170	+	1.28374i	0.210793	+	0.977531i	$0.432396\pi$
$137$	−8.67518	+	15.0258i	−0.741170	+	1.28374i	−0.951963	+	0.306214i	$0.900938\pi$
$138$	0.907361	+	1.57160i	0.0772397	+	0.133783i
$139$	3.35267	−	5.80700i	0.284370	−	0.492543i	−0.688086	−	0.725629i	$-0.741549\pi$
$139$	3.35267	−	5.80700i	0.284370	−	0.492543i	0.972456	+	0.233086i	$0.0748823\pi$
$140$	−1.87687			−0.158625
$141$	−10.3849			−0.874564
$142$	7.35219	−	12.7344i	0.616982	−	1.06864i
$143$	−4.58946	+	7.94917i	−0.383790	+	0.664743i
$144$	8.18782			0.682319
$145$	2.61834			0.217441
$146$	−8.53077	+	14.7757i	−0.706012	+	1.22285i
$147$	−0.620199	−	1.07422i	−0.0511532	−	0.0885999i
$148$	1.11515	−	1.93150i	0.0916651	−	0.158769i
$149$	−7.19642	−	12.4646i	−0.589553	−	1.02114i	−0.994291	−	0.106704i	$-0.965970\pi$
$149$	−7.19642	−	12.4646i	−0.589553	−	1.02114i	0.404737	−	0.914433i	$-0.367363\pi$
$150$	−0.965233	−	1.67183i	−0.0788109	−	0.136505i
$151$	12.7219			1.03529			0.517645	−	0.855595i	$-0.326809\pi$
$151$	12.7219			1.03529			0.517645	+	0.855595i	$0.326809\pi$
$152$	0.305729	−	8.91398i	0.0247979	−	0.723019i
$153$	9.90341			0.800644
$154$	11.6637	+	20.2022i	0.939890	+	1.62794i
$155$	2.63457	+	4.56320i	0.211614	+	0.366525i
$156$	−0.712838	+	1.23467i	−0.0570727	+	0.0988529i
$157$	1.68765	+	2.92309i	0.134689	+	0.233288i	0.925479	−	0.378800i	$-0.123663\pi$
$157$	1.68765	+	2.92309i	0.134689	+	0.233288i	−0.790790	+	0.612088i	$0.790330\pi$
$158$	6.32909	−	10.9623i	0.503515	−	0.872114i
$159$	2.54727			0.202012
$160$	4.14280			0.327517
$161$	−1.14462	+	1.98255i	−0.0902089	+	0.156246i
$162$	−1.07878	+	1.86850i	−0.0847569	+	0.146803i
$163$	0.307960			0.0241213			0.0120607	−	0.999927i	$-0.496161\pi$
$163$	0.307960			0.0241213			0.0120607	+	0.999927i	$0.496161\pi$
$164$	−4.86730			−0.380072
$165$	−3.33706	+	5.77996i	−0.259790	+	0.449969i
$166$	2.59132	+	4.48830i	0.201125	+	0.348359i
$167$	−7.13215	+	12.3532i	−0.551902	+	0.955923i	0.446235	+	0.894916i	$0.352765\pi$
$167$	−7.13215	+	12.3532i	−0.551902	+	0.955923i	−0.998137	+	0.0610070i	$0.980569\pi$
$168$	−2.88955	−	5.00486i	−0.222934	−	0.386133i
$169$	5.22797	+	9.05511i	0.402152	+	0.696547i
$170$	9.96073			0.763953
$171$	−6.12005	−	3.81894i	−0.468012	−	0.292042i
$172$	3.49842			0.266752
$173$	−6.67357	−	11.5590i	−0.507382	−	0.878811i	−0.999963	−	0.00854514i	$-0.997280\pi$
$173$	−6.67357	−	11.5590i	−0.507382	−	0.878811i	0.492581	−	0.870266i	$-0.336053\pi$
$174$	−2.52730	−	4.37742i	−0.191594	−	0.331851i
$175$	1.21763	−	2.10899i	0.0920440	−	0.159425i
$176$	−14.2356	−	24.6569i	−1.07305	−	1.85858i
$177$	−6.26197	+	10.8461i	−0.470679	+	0.815239i
$178$	18.5000			1.38663
$179$	−14.2207			−1.06291			−0.531454	−	0.847087i	$-0.678354\pi$
$179$	−14.2207			−1.06291			−0.531454	+	0.847087i	$0.678354\pi$
$180$	0.637749	−	1.10461i	0.0475350	−	0.0823331i
$181$	−4.94132	+	8.55861i	−0.367285	+	0.636157i	−0.989140	−	0.146976i	$-0.953046\pi$
$181$	−4.94132	+	8.55861i	−0.367285	+	0.636157i	0.621855	+	0.783133i	$0.286379\pi$
$182$	−6.46552			−0.479256
$183$	12.2107			0.902641
$184$	0.961763	−	1.66582i	0.0709021	−	0.122806i
$185$	1.44692	+	2.50613i	0.106379	+	0.184255i
$186$	5.08594	−	8.80911i	0.372919	−	0.645915i
$187$	−17.2184	−	29.8232i	−1.25914	−	2.18089i
$188$	−3.45061	−	5.97663i	−0.251661	−	0.435891i
$189$	−13.1470			−0.956305
$190$	−6.15548	−	3.84104i	−0.446565	−	0.278659i
$191$	−12.9942			−0.940228			−0.470114	−	0.882606i	$-0.655787\pi$
$191$	−12.9942			−0.940228			−0.470114	+	0.882606i	$0.655787\pi$
$192$	1.73904	+	3.01211i	0.125505	+	0.217380i
$193$	−7.25795	−	12.5711i	−0.522439	−	0.904890i	−0.999659	−	0.0261066i	$-0.991689\pi$
$193$	−7.25795	−	12.5711i	−0.522439	−	0.904890i	0.477221	−	0.878784i	$-0.341644\pi$
$194$	3.37716	−	5.84942i	0.242466	−	0.419964i
$195$	−0.924911	−	1.60199i	−0.0662343	−	0.114721i
$196$	0.412150	−	0.713865i	0.0294393	−	0.0509904i
$197$	−25.0010			−1.78125			−0.890624	−	0.454740i	$-0.849732\pi$
$197$	−25.0010			−1.78125			−0.890624	+	0.454740i	$0.849732\pi$
$198$	−15.8530			−1.12663
$199$	1.12769	−	1.95322i	0.0799401	−	0.138460i	−0.823284	−	0.567630i	$-0.807860\pi$
$199$	1.12769	−	1.95322i	0.0799401	−	0.138460i	0.903224	+	0.429170i	$0.141194\pi$
$200$	−1.02310	+	1.77207i	−0.0723444	+	0.125304i
$201$	−1.17086			−0.0825864
$202$	18.5265			1.30352
$203$	3.18816	−	5.52205i	0.223765	−	0.387572i
$204$	−2.67438	−	4.63216i	−0.187244	−	0.324316i
$205$	3.15767	−	5.46925i	0.220541	−	0.381989i
$206$	9.63694	+	16.6917i	0.671437	+	1.16296i
$207$	−0.777871	−	1.34731i	−0.0540657	−	0.0936446i
$208$	7.89120			0.547156
$209$	−0.859833	+	25.0697i	−0.0594759	+	1.73411i
$210$	−4.70118			−0.324412
$211$	−11.1081	−	19.2397i	−0.764710	−	1.32452i	−0.940400	−	0.340071i	$-0.889549\pi$
$211$	−11.1081	−	19.2397i	−0.764710	−	1.32452i	0.175689	−	0.984446i	$-0.443785\pi$
$212$	0.846388	+	1.46599i	0.0581302	+	0.100684i
$213$	5.12257	−	8.87255i	0.350993	−	0.607937i
$214$	14.9124	+	25.8291i	1.01939	+	1.76564i
$215$	−2.26961	+	3.93108i	−0.154786	+	0.268098i
$216$	11.0467			0.751634
$217$	12.8317			0.871071
$218$	4.68128	−	8.10822i	0.317057	−	0.549158i
$219$	−5.94373	+	10.2949i	−0.401640	+	0.695662i
$220$	−4.43525			−0.299025
$221$	9.54463			0.642041
$222$	2.79322	−	4.83801i	0.187469	−	0.324706i
$223$	−5.10799	−	8.84730i	−0.342056	−	0.592459i	0.642758	−	0.766069i	$-0.277790\pi$
$223$	−5.10799	−	8.84730i	−0.342056	−	0.592459i	−0.984814	+	0.173610i	$0.944457\pi$
$224$	5.04438	−	8.73712i	0.337042	−	0.583774i
$225$	0.827483	+	1.43324i	0.0551656	+	0.0955495i
$226$	−13.0491	−	22.6017i	−0.868012	−	1.50344i
$227$	4.15180			0.275565			0.137782	−	0.990463i	$-0.456003\pi$
$227$	4.15180			0.275565			0.137782	+	0.990463i	$0.456003\pi$
$228$	−0.133550	+	3.89385i	−0.00884456	+	0.257876i
$229$	6.53286			0.431703			0.215852	−	0.976426i	$-0.430747\pi$
$229$	6.53286			0.431703			0.215852	+	0.976426i	$0.430747\pi$
$230$	−0.782373	−	1.35511i	−0.0515881	−	0.0893533i
$231$	8.12660	+	14.0757i	0.534691	+	0.926111i
$232$	−2.67883	+	4.63987i	−0.175874	+	0.304623i
$233$	−2.57410	−	4.45848i	−0.168635	−	0.292084i	0.769305	−	0.638882i	$-0.220603\pi$
$233$	−2.57410	−	4.45848i	−0.168635	−	0.292084i	−0.937940	+	0.346797i	$0.887269\pi$
$234$	2.19694	−	3.80521i	0.143618	−	0.248755i
$235$	8.95437			0.584118
$236$	−8.32272			−0.541763
$237$	4.40973	−	7.63788i	0.286443	−	0.496134i
$238$	12.1285	−	21.0071i	0.786171	−	1.36169i
$239$	13.9962			0.905338			0.452669	−	0.891679i	$-0.350472\pi$
$239$	13.9962			0.905338			0.452669	+	0.891679i	$0.350472\pi$
$240$	5.73781			0.370374
$241$	−7.61285	+	13.1858i	−0.490387	+	0.849375i	−0.999939	−	0.0110652i	$-0.996478\pi$
$241$	−7.61285	+	13.1858i	−0.490387	+	0.849375i	0.509552	+	0.860440i	$0.329811\pi$
$242$	18.4076	+	31.8830i	1.18329	+	2.04952i
$243$	7.34631	−	12.7242i	0.471266	−	0.816256i
$244$	4.05728	+	7.02742i	0.259741	+	0.449884i
$245$	0.534767	+	0.926244i	0.0341650	+	0.0591756i
$246$	−12.1916			−0.777305
$247$	−5.89834	−	3.68059i	−0.375302	−	0.234190i
$248$	−10.7817			−0.684642
$249$	1.80548	+	3.12718i	0.114417	+	0.198177i
$250$	0.832272	+	1.44154i	0.0526375	+	0.0911709i
$251$	3.05630	−	5.29366i	0.192912	−	0.334133i	−0.753302	−	0.657674i	$-0.771540\pi$
$251$	3.05630	−	5.29366i	0.192912	−	0.334133i	0.946214	+	0.323542i	$0.104874\pi$
$252$	−1.55308	−	2.69002i	−0.0978350	−	0.169455i
$253$	−2.70487	+	4.68497i	−0.170053	+	0.294541i
$254$	−10.1869			−0.639181
$255$	6.94004			0.434602
$256$	−8.05154	+	13.9457i	−0.503221	+	0.871605i
$257$	−0.0613414	+	0.106246i	−0.00382637	+	0.00662747i	−0.867932	−	0.496683i	$-0.834551\pi$
$257$	−0.0613414	+	0.106246i	−0.00382637	+	0.00662747i	0.864106	+	0.503310i	$0.167885\pi$
$258$	8.76281			0.545549
$259$	7.04723			0.437893
$260$	0.614645	−	1.06460i	0.0381187	−	0.0660235i
$261$	2.16663	+	3.75271i	0.134111	+	0.232287i
$262$	−12.3851	+	21.4517i	−0.765156	+	1.32529i
$263$	5.03027	+	8.71267i	0.310179	+	0.537247i	0.978401	−	0.206716i	$-0.0662775\pi$
$263$	5.03027	+	8.71267i	0.310179	+	0.537247i	−0.668222	+	0.743962i	$0.732944\pi$
$264$	−6.82832	−	11.8270i	−0.420254	−	0.727902i
$265$	−2.19639			−0.134923
$266$	−15.5958	+	8.30489i	−0.956240	+	0.509206i
$267$	12.8897			0.788835
$268$	−0.389046	−	0.673847i	−0.0237648	−	0.0411618i
$269$	−2.85614	−	4.94698i	−0.174142	−	0.301623i	0.765722	−	0.643172i	$-0.222382\pi$
$269$	−2.85614	−	4.94698i	−0.174142	−	0.301623i	−0.939864	+	0.341549i	$0.889049\pi$
$270$	4.49313	−	7.78232i	0.273443	−	0.473617i
$271$	6.35560	+	11.0082i	0.386075	+	0.668702i	0.991918	−	0.126883i	$-0.0404972\pi$
$271$	6.35560	+	11.0082i	0.386075	+	0.668702i	−0.605843	+	0.795585i	$0.707164\pi$
$272$	−14.8028	+	25.6393i	−0.897554	+	1.55461i
$273$	−4.50479			−0.272642
$274$	−28.8804			−1.74473
$275$	2.87738	−	4.98377i	0.173513	−	0.300533i
$276$	−0.420122	+	0.727673i	−0.0252884	+	0.0438008i
$277$	17.6019			1.05760			0.528799	−	0.848747i	$-0.322642\pi$
$277$	17.6019			1.05760			0.528799	+	0.848747i	$0.322642\pi$
$278$	11.1613			0.669413
$279$	−4.36012	+	7.55195i	−0.261034	+	0.452123i
$280$	2.49152	+	4.31544i	0.148897	+	0.257897i
$281$	10.2502	−	17.7539i	0.611476	−	1.05911i	−0.379516	−	0.925185i	$-0.623910\pi$
$281$	10.2502	−	17.7539i	0.611476	−	1.05911i	0.990992	−	0.133922i	$-0.0427571\pi$
$282$	−8.64305	−	14.9702i	−0.514686	−	0.891462i
$283$	5.92805	+	10.2677i	0.352386	+	0.610350i	0.986667	−	0.162752i	$-0.0520371\pi$
$283$	5.92805	+	10.2677i	0.352386	+	0.610350i	−0.634281	+	0.773103i	$0.718704\pi$
$284$	6.80836			0.404002
$285$	−4.28877	−	2.67621i	−0.254045	−	0.158525i
$286$	−15.2787			−0.903449
$287$	−7.68973	−	13.3190i	−0.453911	−	0.786196i
$288$	3.42809	+	5.93763i	0.202002	+	0.349878i
$289$	−9.40447	+	16.2890i	−0.553204	+	0.958177i
$290$	2.17917	+	3.77443i	0.127965	+	0.221642i
$291$	2.35301	−	4.07552i	0.137936	−	0.238911i
$292$	−7.89976			−0.462298
$293$	−24.9814			−1.45943			−0.729715	−	0.683751i	$-0.760347\pi$
$293$	−24.9814			−1.45943			−0.729715	+	0.683751i	$0.760347\pi$
$294$	1.03235	−	1.78808i	0.0602079	−	0.104283i
$295$	5.39939	−	9.35202i	0.314365	−	0.544495i
$296$	−5.92139			−0.344174
$297$	−31.0678			−1.80274
$298$	11.9788	−	20.7478i	0.693911	−	1.20189i
$299$	−0.749690	−	1.29850i	−0.0433557	−	0.0750943i
$300$	0.446918	−	0.774084i	0.0258028	−	0.0446918i
$301$	5.52708	+	9.57319i	0.318576	+	0.551789i
$302$	10.5881	+	18.3391i	0.609274	+	1.05529i
$303$	12.9082			0.741554
$304$	19.0348	−	10.1362i	1.09172	−	0.581348i
$305$	−10.5287			−0.602871
$306$	8.24234	+	14.2761i	0.471183	+	0.816113i
$307$	−8.45997	−	14.6531i	−0.482836	−	0.836296i	0.516970	−	0.856003i	$-0.327060\pi$
$307$	−8.45997	−	14.6531i	−0.482836	−	0.836296i	−0.999806	+	0.0197074i	$0.993727\pi$
$308$	−5.40049	+	9.35392i	−0.307721	+	0.532989i
$309$	6.71444	+	11.6298i	0.381971	+	0.661594i
$310$	−4.38535	+	7.59566i	−0.249071	+	0.431404i
$311$	−15.2133			−0.862670			−0.431335	−	0.902192i	$-0.641957\pi$
$311$	−15.2133			−0.862670			−0.431335	+	0.902192i	$0.641957\pi$
$312$	3.78512			0.214290
$313$	−12.4637	+	21.5877i	−0.704488	+	1.22021i	0.262389	+	0.964962i	$0.415490\pi$
$313$	−12.4637	+	21.5877i	−0.704488	+	1.22021i	−0.966876	+	0.255246i	$0.917844\pi$
$314$	−2.80917	+	4.86562i	−0.158531	+	0.274583i
$315$	4.03027			0.227080
$316$	5.86093			0.329703
$317$	12.6152	−	21.8502i	0.708541	−	1.22723i	−0.256857	−	0.966449i	$-0.582687\pi$
$317$	12.6152	−	21.8502i	0.708541	−	1.22723i	0.965398	−	0.260780i	$-0.0839798\pi$
$318$	2.12002	+	3.67199i	0.118885	+	0.205915i
$319$	7.53396	−	13.0492i	0.421821	−	0.730615i
$320$	−1.49949	−	2.59720i	−0.0838241	−	0.145188i
$321$	10.3901	+	17.9962i	0.579919	+	1.00445i
$322$	−3.81055			−0.212354
$323$	23.0231	−	12.2600i	1.28104	−	0.682163i
$324$	−0.998983			−0.0554991
$325$	0.797505	+	1.38132i	0.0442376	+	0.0766218i
$326$	0.256307	+	0.443937i	0.0141955	+	0.0245874i
$327$	3.26164	−	5.64933i	0.180369	−	0.312408i
$328$	6.46125	+	11.1912i	0.356763	+	0.617932i
$329$	10.9031	−	18.8847i	0.601106	−	1.04115i
$330$	−11.1094			−0.611551
$331$	−20.2063			−1.11064			−0.555320	−	0.831637i	$-0.687404\pi$
$331$	−20.2063			−1.11064			−0.555320	+	0.831637i	$0.687404\pi$
$332$	−1.19982	+	2.07815i	−0.0658487	+	0.114053i
$333$	−2.39460	+	4.14757i	−0.131223	+	0.227285i
$334$	−23.7436			−1.29919
$335$	1.00958			0.0551592
$336$	6.98651	−	12.1010i	0.381145	−	0.660163i
$337$	15.9123	+	27.5610i	0.866800	+	1.50134i	0.865249	+	0.501342i	$0.167160\pi$
$337$	15.9123	+	27.5610i	0.866800	+	1.50134i	0.00155051	+	0.999999i	$0.499506\pi$
$338$	−8.70219	+	15.0726i	−0.473337	+	0.819843i
$339$	−9.09183	−	15.7475i	−0.493800	−	0.855287i
$340$	2.30599	+	3.99408i	0.125060	+	0.216610i
$341$	30.3226			1.64206
$342$	0.411596	−	12.0007i	0.0222566	−	0.648923i
$343$	19.6514			1.06107
$344$	−4.64410	−	8.04382i	−0.250393	−	0.433693i
$345$	−0.545111	−	0.944159i	−0.0293478	−	0.0508318i
$346$	11.1085	−	19.2404i	0.597194	−	1.03437i
$347$	1.65128	+	2.86009i	0.0886451	+	0.153538i	0.906939	−	0.421263i	$-0.138413\pi$
$347$	1.65128	+	2.86009i	0.0886451	+	0.153538i	−0.818294	+	0.574801i	$0.805080\pi$
$348$	1.17018	−	2.02681i	0.0627283	−	0.108649i
$349$	17.8486			0.955416			0.477708	−	0.878519i	$-0.341468\pi$
$349$	17.8486			0.955416			0.477708	+	0.878519i	$0.341468\pi$
$350$	4.05359			0.216674
$351$	4.30543	−	7.45723i	0.229807	−	0.398037i
$352$	11.9204	−	20.6468i	0.635360	−	1.10048i
$353$	−8.29523			−0.441511			−0.220755	−	0.975329i	$-0.570852\pi$
$353$	−8.29523			−0.441511			−0.220755	+	0.975329i	$0.570852\pi$
$354$	−20.8467			−1.10799
$355$	−4.41694	+	7.65036i	−0.234427	+	0.406039i
$356$	4.28288	+	7.41817i	0.226992	+	0.393162i
$357$	8.45039	−	14.6365i	0.447242	−	0.774646i
$358$	−11.8355	−	20.4997i	−0.625527	−	1.08344i
$359$	−4.17511	−	7.23150i	−0.220354	−	0.381664i	0.734562	−	0.678542i	$-0.237388\pi$
$359$	−4.17511	−	7.23150i	−0.220354	−	0.381664i	−0.954915	+	0.296878i	$0.904055\pi$
$360$	−3.38641			−0.178479
$361$	−18.9554	−	1.30178i	−0.997650	−	0.0685148i
$362$	−16.4501			−0.864598
$363$	12.8254	+	22.2142i	0.673156	+	1.16594i
$364$	−1.49682	−	2.59256i	−0.0784545	−	0.135887i
$365$	5.12499	−	8.87674i	0.268254	−	0.464630i
$366$	10.1626	+	17.6022i	0.531209	+	0.920082i
$367$	−7.20988	+	12.4879i	−0.376353	+	0.651862i	−0.990528	−	0.137307i	$-0.956155\pi$
$367$	−7.20988	+	12.4879i	−0.376353	+	0.651862i	0.614176	+	0.789169i	$0.289489\pi$
$368$	4.65080			0.242440
$369$	10.4517			0.544093
$370$	−2.40846	+	4.17157i	−0.125210	+	0.216870i
$371$	−2.67438	+	4.63216i	−0.138847	+	0.240490i
$372$	4.70974			0.244188
$373$	−24.1157			−1.24866			−0.624332	−	0.781159i	$-0.714629\pi$
$373$	−24.1157			−1.24866			−0.624332	+	0.781159i	$0.714629\pi$
$374$	28.6608	−	49.6420i	1.48202	−	2.56693i
$375$	0.579878	+	1.00438i	0.0299448	+	0.0518659i
$376$	−9.16125	+	15.8678i	−0.472455	+	0.818317i
$377$	2.08814	+	3.61676i	0.107545	+	0.186273i
$378$	−10.9419	−	18.9519i	−0.562791	−	0.974783i
$379$	16.6757			0.856571			0.428285	−	0.903644i	$-0.359118\pi$
$379$	16.6757			0.856571			0.428285	+	0.903644i	$0.359118\pi$
$380$	0.115154	−	3.35747i	0.00590725	−	0.172235i
$381$	−7.09760			−0.363621
$382$	−10.8147	−	18.7316i	−0.553329	−	0.958395i
$383$	5.43895	+	9.42053i	0.277917	+	0.481367i	0.970867	−	0.239619i	$-0.0770226\pi$
$383$	5.43895	+	9.42053i	0.277917	+	0.481367i	−0.692950	+	0.720986i	$0.743689\pi$
$384$	−7.69935	+	13.3357i	−0.392906	+	0.680533i
$385$	−7.00716	−	12.1368i	−0.357118	−	0.618546i
$386$	12.0812	−	20.9252i	0.614916	−	1.06507i
$387$	−7.51226			−0.381870
$388$	3.12736			0.158767
$389$	−18.2272	+	31.5704i	−0.924154	+	1.60068i	−0.131237	+	0.991351i	$0.541895\pi$
$389$	−18.2272	+	31.5704i	−0.924154	+	1.60068i	−0.792917	+	0.609330i	$0.791438\pi$
$390$	1.53956	−	2.66659i	0.0779585	−	0.135028i
$391$	5.62528			0.284482
$392$	−2.18849			−0.110535
$393$	−8.62922	+	14.9463i	−0.435287	+	0.753939i
$394$	−20.8077	−	36.0399i	−1.04827	−	1.81566i
$395$	−3.80229	+	6.58577i	−0.191314	+	0.331366i
$396$	−3.67010	−	6.35680i	−0.184429	−	0.319441i
$397$	−4.29191	−	7.43380i	−0.215405	−	0.373092i	0.737993	−	0.674808i	$-0.235774\pi$
$397$	−4.29191	−	7.43380i	−0.215405	−	0.373092i	−0.953398	+	0.301717i	$0.902440\pi$
$398$	3.75419			0.188181
$399$	−10.8662	+	5.78635i	−0.543992	+	0.289680i
$400$	−4.94743			−0.247371
$401$	8.52785	+	14.7707i	0.425860	+	0.737612i	0.996500	−	0.0835885i	$-0.0266381\pi$
$401$	8.52785	+	14.7707i	0.425860	+	0.737612i	−0.570640	+	0.821200i	$0.693305\pi$
$402$	−0.974478	−	1.68785i	−0.0486026	−	0.0841821i
$403$	−4.20216	+	7.27836i	−0.209325	+	0.362561i
$404$	4.28903	+	7.42881i	0.213387	+	0.369597i
$405$	0.648093	−	1.12253i	0.0322040	−	0.0557790i
$406$	10.6137			0.526747
$407$	16.6533			0.825476
$408$	−7.10039	+	12.2982i	−0.351522	+	0.608853i
$409$	5.89702	−	10.2139i	0.291589	−	0.505047i	−0.682597	−	0.730795i	$-0.739149\pi$
$409$	5.89702	−	10.2139i	0.291589	−	0.505047i	0.974186	+	0.225749i	$0.0724828\pi$
$410$	10.5122			0.519159
$411$	−20.1222			−0.992553
$412$	−4.46205	+	7.72850i	−0.219829	+	0.380756i
$413$	−13.1489	−	22.7745i	−0.647015	−	1.12066i
$414$	1.29480	−	2.24266i	0.0636360	−	0.110221i
$415$	−1.55677	−	2.69641i	−0.0764190	−	0.132362i
$416$	3.30390	+	5.72252i	0.161987	+	0.280570i
$417$	7.77656			0.380820
$418$	−36.8546	+	19.6253i	−1.80261	+	0.959907i
$419$	1.14280			0.0558292			0.0279146	−	0.999610i	$-0.491113\pi$
$419$	1.14280			0.0558292			0.0279146	+	0.999610i	$0.491113\pi$
$420$	−1.08836	−	1.88509i	−0.0531064	−	0.0919830i
$421$	−9.75944	−	16.9039i	−0.475646	−	0.823843i	0.523965	−	0.851740i	$-0.324452\pi$
$421$	−9.75944	−	16.9039i	−0.475646	−	0.823843i	−0.999611	+	0.0278967i	$0.991119\pi$
$422$	18.4899	−	32.0254i	0.900072	−	1.55897i
$423$	7.40959	+	12.8338i	0.360266	+	0.624000i
$424$	2.24713	−	3.89215i	0.109130	−	0.189019i
$425$	−5.98406			−0.290269
$426$	17.0535			0.826245
$427$	−12.8200	+	22.2049i	−0.620404	+	1.07457i
$428$	−6.90469	+	11.9593i	−0.333751	+	0.578073i
$429$	−10.6453			−0.513960
$430$	−7.55574			−0.364370
$431$	18.4392	−	31.9377i	0.888187	−	1.53838i	0.0461694	−	0.998934i	$-0.485299\pi$
$431$	18.4392	−	31.9377i	0.888187	−	1.53838i	0.842017	−	0.539451i	$-0.181368\pi$
$432$	13.3546	+	23.1309i	0.642526	+	1.11289i
$433$	−0.184467	+	0.319506i	−0.00886490	+	0.0153545i	−0.870424	−	0.492303i	$-0.836155\pi$
$433$	−0.184467	+	0.319506i	−0.00886490	+	0.0153545i	0.861559	+	0.507658i	$0.169488\pi$
$434$	10.6795	+	18.4974i	0.512630	+	0.887902i
$435$	1.51832	+	2.62980i	0.0727976	+	0.126089i
$436$	4.33501			0.207609
$437$	−3.47628	−	2.16921i	−0.166293	−	0.103767i
$438$	−19.7872			−0.945470
$439$	1.13220	+	1.96102i	0.0540367	+	0.0935944i	0.891778	−	0.452472i	$-0.149458\pi$
$439$	1.13220	+	1.96102i	0.0540367	+	0.0935944i	−0.837742	+	0.546067i	$0.816125\pi$
$440$	5.88773	+	10.1978i	0.280686	+	0.486163i
$441$	−0.885022	+	1.53290i	−0.0421439	+	0.0729954i
$442$	7.94373	+	13.7590i	0.377845	+	0.654447i
$443$	8.23137	−	14.2572i	0.391084	−	0.677378i	−0.601508	−	0.798866i	$-0.705433\pi$
$443$	8.23137	−	14.2572i	0.391084	−	0.677378i	0.992593	+	0.121488i	$0.0387667\pi$
$444$	2.58661			0.122755
$445$	−11.1141			−0.526860
$446$	8.50248	−	14.7267i	0.402604	−	0.697331i
$447$	8.34609	−	14.4558i	0.394756	−	0.683738i
$448$	−7.30329			−0.345048
$449$	14.1613			0.668315			0.334158	−	0.942517i	$-0.391548\pi$
$449$	14.1613			0.668315			0.334158	+	0.942517i	$0.391548\pi$
$450$	−1.37738	+	2.38570i	−0.0649305	+	0.112463i
$451$	−18.1717	−	31.4742i	−0.855670	−	1.48206i
$452$	6.04193	−	10.4649i	0.284188	−	0.492229i
$453$	7.37713	+	12.7776i	0.346608	+	0.600342i
$454$	3.45543	+	5.98498i	0.162171	+	0.280889i
$455$	3.88426			0.182097
$456$	9.13029	−	4.86195i	0.427565	−	0.227682i
$457$	1.22073			0.0571033			0.0285516	−	0.999592i	$-0.490910\pi$
$457$	1.22073			0.0571033			0.0285516	+	0.999592i	$0.490910\pi$
$458$	5.43712	+	9.41736i	0.254060	+	0.440045i
$459$	16.1528	+	27.9775i	0.753950	+	1.30588i
$460$	0.362251	−	0.627436i	0.0168900	−	0.0292544i
$461$	4.34580	+	7.52714i	0.202404	+	0.350574i	0.949303	−	0.314364i	$-0.101791\pi$
$461$	4.34580	+	7.52714i	0.202404	+	0.350574i	−0.746898	+	0.664938i	$0.768458\pi$
$462$	−13.5271	+	23.4296i	−0.629337	+	1.09004i
$463$	−19.7149			−0.916229			−0.458114	−	0.888893i	$-0.651475\pi$
$463$	−19.7149			−0.916229			−0.458114	+	0.888893i	$0.651475\pi$
$464$	−12.9540			−0.601375
$465$	−3.05545	+	5.29220i	−0.141693	+	0.245420i
$466$	4.28471	−	7.42133i	0.198485	−	0.343787i
$467$	−11.4795			−0.531207			−0.265604	−	0.964082i	$-0.585571\pi$
$467$	−11.4795			−0.531207			−0.265604	+	0.964082i	$0.585571\pi$
$468$	2.03443			0.0940418
$469$	1.22929	−	2.12919i	0.0567633	−	0.0983170i
$470$	7.45247	+	12.9081i	0.343757	+	0.595404i
$471$	−1.95726	+	3.39008i	−0.0901858	+	0.156206i
$472$	11.0483	+	19.1362i	0.508538	+	0.880814i
$473$	13.0611	+	22.6225i	0.600549	+	1.04018i
$474$	14.6804			0.674293
$475$	3.69799	+	2.30756i	0.169676	+	0.105878i
$476$	11.2313			0.514787
$477$	−1.81747	−	3.14796i	−0.0832164	−	0.144135i
$478$	11.6486	+	20.1760i	0.532796	+	0.922830i
$479$	−19.6316	+	34.0029i	−0.896989	+	1.55363i	−0.0656652	+	0.997842i	$0.520917\pi$
$479$	−19.6316	+	34.0029i	−0.896989	+	1.55363i	−0.831324	+	0.555789i	$0.812416\pi$
$480$	2.40232	+	4.16093i	0.109650	+	0.189920i
$481$	−2.30785	+	3.99731i	−0.105229	+	0.182262i
$482$	−25.3439			−1.15438
$483$	−2.65497			−0.120805
$484$	−8.52302	+	14.7623i	−0.387410	+	0.671014i
$485$	−2.02888	+	3.51412i	−0.0921267	+	0.159568i
$486$	24.4565			1.10937
$487$	31.5943			1.43168			0.715838	−	0.698266i	$-0.246045\pi$
$487$	31.5943			1.43168			0.715838	+	0.698266i	$0.246045\pi$
$488$	10.7719	−	18.6576i	0.487623	−	0.844588i
$489$	0.178579	+	0.309309i	0.00807564	+	0.0139874i
$490$	−0.890144	+	1.54177i	−0.0402126	+	0.0696503i
$491$	5.53187	+	9.58148i	0.249650	+	0.432406i	0.963429	−	0.267965i	$-0.0863511\pi$
$491$	5.53187	+	9.58148i	0.249650	+	0.432406i	−0.713779	+	0.700371i	$0.753018\pi$
$492$	−2.82244	−	4.88861i	−0.127245	−	0.220395i
$493$	−15.6683			−0.705663
$494$	0.396685	−	11.5659i	0.0178477	−	0.520376i
$495$	9.52395			0.428070
$496$	−13.0343	−	22.5761i	−0.585258	−	1.01370i
$497$	10.7564	+	18.6306i	0.482489	+	0.835696i
$498$	−3.00530	+	5.20533i	−0.134671	+	0.233256i
$499$	10.1868	+	17.6440i	0.456023	+	0.789854i	0.998746	−	0.0500570i	$-0.0159403\pi$
$499$	10.1868	+	17.6440i	0.456023	+	0.789854i	−0.542724	+	0.839911i	$0.682607\pi$
$500$	−0.385355	+	0.667454i	−0.0172336	+	0.0298495i
$501$	−16.5431			−0.739091
$502$	10.1747			0.454118
$503$	6.83622	−	11.8407i	0.304812	−	0.527950i	−0.672407	−	0.740181i	$-0.734740\pi$
$503$	6.83622	−	11.8407i	0.304812	−	0.527950i	0.977219	+	0.212231i	$0.0680730\pi$
$504$	−4.12338	+	7.14191i	−0.183670	+	0.318126i
$505$	−11.1301			−0.495281
$506$	−9.00474			−0.400310
$507$	−6.06317	+	10.5017i	−0.269275	+	0.466398i
$508$	−2.35834	−	4.08476i	−0.104634	−	0.181232i
$509$	3.86196	−	6.68912i	0.171179	−	0.296490i	−0.767654	−	0.640865i	$-0.778576\pi$
$509$	3.86196	−	6.68912i	0.171179	−	0.296490i	0.938832	+	0.344375i	$0.111909\pi$
$510$	5.77601	+	10.0043i	0.255766	+	0.443000i
$511$	−12.4807	−	21.6171i	−0.552112	−	0.956285i
$512$	−0.249240			−0.0110150
$513$	0.806621	−	23.5182i	0.0356132	−	1.03836i
$514$	−0.204211			−0.00900736
$515$	−5.78953	−	10.0278i	−0.255117	−	0.441876i
$516$	2.02866	+	3.51374i	0.0893067	+	0.154684i
$517$	25.7651	−	44.6265i	1.13315	−	1.96267i
$518$	5.86521	+	10.1588i	0.257703	+	0.446354i
$519$	7.73971	−	13.4056i	0.339736	−	0.588439i
$520$	−3.26372			−0.143124
$521$	−2.16876			−0.0950151			−0.0475075	−	0.998871i	$-0.515128\pi$
$521$	−2.16876			−0.0950151			−0.0475075	+	0.998871i	$0.515128\pi$
$522$	−3.60645	+	6.24656i	−0.157850	+	0.273404i
$523$	11.9466	−	20.6921i	0.522389	−	0.904804i	−0.477272	−	0.878756i	$-0.658374\pi$
$523$	11.9466	−	20.6921i	0.522389	−	0.904804i	0.999661	−	0.0260485i	$-0.00829243\pi$
$524$	−11.4690			−0.501026
$525$	2.82430			0.123263
$526$	−8.37310	+	14.5026i	−0.365085	+	0.632345i
$527$	−15.7654	−	27.3065i	−0.686751	−	1.18949i
$528$	16.5099	−	28.5959i	0.718500	−	1.24448i
$529$	11.0582	+	19.1533i	0.480790	+	0.832752i
$530$	−1.82799	−	3.16617i	−0.0794029	−	0.137530i
$531$	17.8716			0.775562
$532$	−6.94067	−	4.33101i	−0.300916	−	0.187773i
$533$	10.0730			0.436312
$534$	10.7277	+	18.5809i	0.464234	+	0.804076i
$535$	−8.95887	−	15.5172i	−0.387326	−	0.670868i
$536$	−1.03290	+	1.78904i	−0.0446147	+	0.0772749i
$537$	−8.24629	−	14.2830i	−0.355854	−	0.616356i
$538$	4.75418	−	8.23448i	0.204967	−	0.355013i
$539$	6.15492			0.265111
$540$	4.16077			0.179051
$541$	−21.2275	+	36.7671i	−0.912641	+	1.58074i	−0.102323	+	0.994751i	$0.532627\pi$
$541$	−21.2275	+	36.7671i	−0.912641	+	1.58074i	−0.810319	+	0.585990i	$0.800706\pi$
$542$	−10.5792	+	18.3237i	−0.454415	+	0.787069i
$543$	−11.4614			−0.491858
$544$	−24.7907			−1.06289
$545$	−2.81235	+	4.87113i	−0.120468	+	0.208656i
$546$	−3.74921	−	6.49383i	−0.160451	−	0.277910i
$547$	−6.01535	+	10.4189i	−0.257198	+	0.445480i	−0.965490	−	0.260439i	$-0.916133\pi$
$547$	−6.01535	+	10.4189i	−0.257198	+	0.445480i	0.708292	+	0.705919i	$0.249466\pi$
$548$	−6.68604	−	11.5806i	−0.285614	−	0.494697i
$549$	−8.71231	−	15.0902i	−0.371833	−	0.644033i
$550$	9.57907			0.408453
$551$	9.68259	+	6.04198i	0.412492	+	0.257397i
$552$	2.23082			0.0949500
$553$	9.25956	+	16.0380i	0.393756	+	0.682006i
$554$	14.6496	+	25.3739i	0.622403	+	1.07803i
$555$	−1.67807	+	2.90650i	−0.0712301	+	0.123374i
$556$	2.58394	+	4.47551i	0.109583	+	0.189804i
$557$	4.37635	−	7.58006i	0.185432	−	0.321178i	−0.758290	−	0.651917i	$-0.773965\pi$
$557$	4.37635	−	7.58006i	0.185432	−	0.321178i	0.943722	+	0.330740i	$0.107298\pi$
$558$	−14.5152			−0.614479
$559$	−7.24011			−0.306224
$560$	−6.02412	+	10.4341i	−0.254566	+	0.440921i
$561$	19.9692	−	34.5876i	0.843099	−	1.46029i
$562$	34.1238			1.43943
$563$	−35.9707			−1.51598			−0.757991	−	0.652265i	$-0.773819\pi$
$563$	−35.9707			−1.51598			−0.757991	+	0.652265i	$0.773819\pi$
$564$	4.00186	−	6.93143i	0.168509	−	0.291866i
$565$	7.83943	+	13.5783i	0.329807	+	0.571243i
$566$	−9.86750	+	17.0910i	−0.414762	+	0.718389i
$567$	−1.57827	−	2.73365i	−0.0662812	−	0.114802i
$568$	−9.03798	−	15.6542i	−0.379225	−	0.656837i
$569$	−20.3125			−0.851543			−0.425772	−	0.904831i	$-0.639997\pi$
$569$	−20.3125			−0.851543			−0.425772	+	0.904831i	$0.639997\pi$
$570$	0.288435	−	8.40976i	0.0120812	−	0.352246i
$571$	10.1773			0.425906			0.212953	−	0.977062i	$-0.431692\pi$
$571$	10.1773			0.425906			0.212953	+	0.977062i	$0.431692\pi$
$572$	−3.53714	−	6.12650i	−0.147895	−	0.256162i
$573$	−7.53505	−	13.0511i	−0.314781	−	0.545217i
$574$	12.7999	−	22.1701i	0.534258	−	0.925362i
$575$	0.470022	+	0.814102i	0.0196013	+	0.0339504i
$576$	2.48161	−	4.29827i	0.103400	−	0.179095i
$577$	−32.7441			−1.36316			−0.681578	−	0.731745i	$-0.738706\pi$
$577$	−32.7441			−1.36316			−0.681578	+	0.731745i	$0.738706\pi$
$578$	−31.3083			−1.30225
$579$	8.41745	−	14.5794i	0.349817	−	0.605901i
$580$	−1.00899	+	1.74762i	−0.0418960	+	0.0725660i
$581$	−7.58228			−0.314566
$582$	7.83337			0.324703
$583$	−6.31984	+	10.9463i	−0.261741	+	0.453349i
$584$	10.4868	+	18.1637i	0.433947	+	0.751618i
$585$	−1.31984	+	2.28604i	−0.0545689	+	0.0945160i
$586$	−20.7913	−	36.0117i	−0.858883	−	1.48763i
$587$	−4.38663	−	7.59786i	−0.181056	−	0.313597i	0.761185	−	0.648535i	$-0.224618\pi$
$587$	−4.38663	−	7.59786i	−0.181056	−	0.313597i	−0.942240	+	0.334938i	$0.891285\pi$
$588$	0.955987			0.0394243
$589$	−0.787274	+	22.9541i	−0.0324390	+	0.945808i
$590$	17.9751			0.740021
$591$	−14.4975	−	25.1105i	−0.596349	−	1.03291i
$592$	−7.15852	−	12.3989i	−0.294213	−	0.509592i
$593$	16.1603	−	27.9905i	0.663625	−	1.14943i	−0.316031	−	0.948749i	$-0.602350\pi$
$593$	16.1603	−	27.9905i	0.663625	−	1.14943i	0.979656	−	0.200684i	$-0.0643163\pi$
$594$	−25.8569	−	44.7855i	−1.06092	−	1.83757i
$595$	−7.28635	+	12.6203i	−0.298711	+	0.517383i
$596$	11.0927			0.454375
$597$	2.61570			0.107053
$598$	1.24789	−	2.16141i	0.0510301	−	0.0883868i
$599$	9.77520	−	16.9311i	0.399404	−	0.691787i	−0.594249	−	0.804281i	$-0.702551\pi$
$599$	9.77520	−	16.9311i	0.399404	−	0.691787i	0.993652	+	0.112494i	$0.0358839\pi$
$600$	−2.37310			−0.0968815
$601$	−0.401837			−0.0163913			−0.00819564	−	0.999966i	$-0.502609\pi$
$601$	−0.401837			−0.0163913			−0.00819564	+	0.999966i	$0.502609\pi$
$602$	−9.20008	+	15.9350i	−0.374967	+	0.649462i
$603$	0.835409	+	1.44697i	0.0340205	+	0.0589252i
$604$	−4.90243	+	8.49126i	−0.199477	+	0.345505i
$605$	−11.0587	−	19.1542i	−0.449599	−	0.778728i
$606$	10.7431	+	18.6076i	0.436409	+	0.755882i
$607$	13.4453			0.545727			0.272863	−	0.962053i	$-0.412029\pi$
$607$	13.4453			0.545727			0.272863	+	0.962053i	$0.412029\pi$
$608$	15.3200	+	9.55976i	0.621309	+	0.387700i
$609$	7.39497			0.299659
$610$	−8.76274	−	15.1775i	−0.354793	−	0.614519i
$611$	7.14115	+	12.3688i	0.288900	+	0.500390i
$612$	−3.81633	+	6.61008i	−0.154266	+	0.267196i
$613$	10.3527	+	17.9313i	0.418140	+	0.724239i	0.995752	−	0.0920716i	$-0.0293489\pi$
$613$	10.3527	+	17.9313i	0.418140	+	0.724239i	−0.577613	+	0.816311i	$0.696016\pi$
$614$	14.0820	−	24.3907i	0.568303	−	0.984330i
$615$	7.32425			0.295342
$616$	28.6762			1.15540
$617$	4.63936	−	8.03560i	0.186773	−	0.323501i	−0.757399	−	0.652952i	$-0.773530\pi$
$617$	4.63936	−	8.03560i	0.186773	−	0.323501i	0.944173	+	0.329451i	$0.106864\pi$
$618$	−11.1765	+	19.3583i	−0.449585	+	0.778703i
$619$	−2.89129			−0.116211			−0.0581053	−	0.998310i	$-0.518506\pi$
$619$	−2.89129			−0.116211			−0.0581053	+	0.998310i	$0.518506\pi$
$620$	−4.06097			−0.163093
$621$	2.53747	−	4.39503i	0.101825	−	0.176366i
$622$	−12.6616	−	21.9306i	−0.507686	−	0.879338i
$623$	−13.5329	+	23.4396i	−0.542183	+	0.939088i
$624$	4.57593	+	7.92574i	0.183184	+	0.317284i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−41.4926			−1.65838
$627$	−25.6781	+	13.6738i	−1.02548	+	0.546078i
$628$	−2.60138			−0.103806
$629$	−8.65844	−	14.9969i	−0.345234	−	0.597964i
$630$	3.35428	+	5.80978i	0.133638	+	0.231467i
$631$	−15.2270	+	26.3740i	−0.606178	+	1.04993i	0.385686	+	0.922630i	$0.373965\pi$
$631$	−15.2270	+	26.3740i	−0.606178	+	1.04993i	−0.991864	+	0.127301i	$0.959369\pi$
$632$	−7.78029	−	13.4759i	−0.309483	−	0.536041i
$633$	12.8826	−	22.3134i	0.512039	−	0.886877i
$634$	41.9972			1.66792
$635$	6.11991			0.242861
$636$	−0.981604	+	1.70019i	−0.0389231	+	0.0674168i
$637$	−0.852959	+	1.47737i	−0.0337955	+	0.0585355i
$638$	25.0812			0.992975
$639$	−14.6198			−0.578349
$640$	6.63877	−	11.4987i	0.262420	−	0.454525i
$641$	10.0369	+	17.3845i	0.396434	+	0.686645i	0.993283	−	0.115709i	$-0.0369141\pi$
$641$	10.0369	+	17.3845i	0.396434	+	0.686645i	−0.596849	+	0.802354i	$0.703581\pi$
$642$	−17.2948	+	29.9554i	−0.682571	+	1.18225i
$643$	1.04457	+	1.80924i	0.0411937	+	0.0713496i	0.885887	−	0.463901i	$-0.153551\pi$
$643$	1.04457	+	1.80924i	0.0411937	+	0.0713496i	−0.844693	+	0.535250i	$0.820217\pi$
$644$	−0.882172	−	1.52797i	−0.0347625	−	0.0602103i
$645$	−5.26439			−0.207285
$646$	36.8347	+	22.9850i	1.44924	+	0.904334i
$647$	−2.10623			−0.0828043			−0.0414021	−	0.999143i	$-0.513182\pi$
$647$	−2.10623			−0.0828043			−0.0414021	+	0.999143i	$0.513182\pi$
$648$	1.32613	+	2.29693i	0.0520954	+	0.0902319i
$649$	−31.0722	−	53.8187i	−1.21969	−	2.11257i
$650$	−1.32748	+	2.29927i	−0.0520682	+	0.0901847i
$651$	7.44081	+	12.8879i	0.291628	+	0.505115i
$652$	−0.118674	+	0.205549i	−0.00464763	+	0.00804994i
$653$	1.83067			0.0716395			0.0358197	−	0.999358i	$-0.488596\pi$
$653$	1.83067			0.0716395			0.0358197	+	0.999358i	$0.488596\pi$
$654$	10.8583			0.424593
$655$	7.44055	−	12.8874i	0.290726	−	0.503553i
$656$	−15.6223	+	27.0587i	−0.609950	+	1.05646i
$657$	16.9634			0.661804
$658$	36.2973			1.41502
$659$	−12.0268	+	20.8310i	−0.468497	+	0.811460i	−0.999352	−	0.0360024i	$-0.988538\pi$
$659$	−12.0268	+	20.8310i	−0.468497	+	0.811460i	0.530855	+	0.847463i	$0.321871\pi$
$660$	−2.57191	−	4.45467i	−0.100111	−	0.173398i
$661$	8.72110	−	15.1054i	0.339211	−	0.587531i	−0.645073	−	0.764121i	$-0.723173\pi$
$661$	8.72110	−	15.1054i	0.339211	−	0.587531i	0.984285	+	0.176589i	$0.0565065\pi$
$662$	−16.8172	−	29.1282i	−0.653617	−	1.13210i
$663$	5.53472	+	9.58642i	0.214951	+	0.372306i
$664$	6.37097			0.247241
$665$	9.36941	−	4.98929i	0.363330	−	0.193476i
$666$	−7.97184			−0.308902
$667$	1.23068	+	2.13159i	0.0476519	+	0.0825356i
$668$	−5.49682	−	9.52077i	−0.212678	−	0.368370i
$669$	5.92402	−	10.2607i	0.229036	−	0.396702i
$670$	0.840244	+	1.45535i	0.0324615	+	0.0562249i
$671$	−30.2951	+	52.4726i	−1.16953	+	2.02568i
$672$	11.7005			0.451357
$673$	47.5187			1.83171			0.915856	−	0.401506i	$-0.131513\pi$
$673$	47.5187			1.83171			0.915856	+	0.401506i	$0.131513\pi$
$674$	−26.4868	+	45.8765i	−1.02023	+	1.76709i
$675$	−2.69931	+	4.67535i	−0.103897	+	0.179954i
$676$	−8.05850			−0.309942
$677$	14.5531			0.559321			0.279661	−	0.960099i	$-0.409778\pi$
$677$	14.5531			0.559321			0.279661	+	0.960099i	$0.409778\pi$
$678$	15.1338	−	26.2124i	0.581208	−	1.00668i
$679$	4.94084	+	8.55778i	0.189612	+	0.328418i
$680$	6.12231	−	10.6042i	0.234780	−	0.406651i
$681$	2.40754	+	4.16998i	0.0922570	+	0.159794i
$682$	25.2367	+	43.7112i	0.966363	+	1.67379i
$683$	3.33714			0.127692			0.0638460	−	0.997960i	$-0.479663\pi$
$683$	3.33714			0.127692			0.0638460	+	0.997960i	$0.479663\pi$
$684$	4.90736	−	2.61321i	0.187638	−	0.0999185i
$685$	17.3504			0.662923
$686$	16.3553	+	28.3282i	0.624448	+	1.08158i
$687$	3.78826	+	6.56146i	0.144531	+	0.250335i
$688$	11.2287	−	19.4487i	0.428092	−	0.741476i
$689$	−1.75163	−	3.03391i	−0.0667318	−	0.115583i
$690$	0.907361	−	1.57160i	0.0345426	−	0.0598296i
$691$	−19.3318			−0.735415			−0.367708	−	0.929941i	$-0.619857\pi$
$691$	−19.3318			−0.735415			−0.367708	+	0.929941i	$0.619857\pi$
$692$	10.2868			0.391044
$693$	11.5966	−	20.0859i	0.440519	−	0.763001i
$694$	−2.74862	+	4.76075i	−0.104336	+	0.180716i
$695$	−6.70534			−0.254348
$696$	−6.21358			−0.235525
$697$	−18.8957	+	32.7283i	−0.715725	+	1.23967i
$698$	14.8549	+	25.7295i	0.562268	+	0.973876i
$699$	2.98533	−	5.17074i	0.112916	−	0.195575i
$700$	0.938437	+	1.62542i	0.0354696	+	0.0614351i
$701$	−4.96892	−	8.60643i	−0.187674	−	0.325060i	0.756801	−	0.653646i	$-0.226761\pi$
$701$	−4.96892	−	8.60643i	−0.187674	−	0.325060i	−0.944474	+	0.328586i	$0.893428\pi$
$702$	14.3332			0.540971
$703$	−0.432375	+	12.6065i	−0.0163073	+	0.475464i
$704$	−17.2584			−0.650452
$705$	5.19244	+	8.99357i	0.195559	+	0.338717i
$706$	−6.90389	−	11.9579i	−0.259831	−	0.450041i
$707$	−13.5523	+	23.4732i	−0.509686	+	0.882801i
$708$	−4.82616	−	8.35916i	−0.181378	−	0.314157i
$709$	−18.6059	+	32.2264i	−0.698760	+	1.21029i	0.270136	+	0.962822i	$0.412931\pi$
$709$	−18.6059	+	32.2264i	−0.698760	+	1.21029i	−0.968897	+	0.247466i	$0.920402\pi$
$710$	−14.7044			−0.551846
$711$	−12.5853			−0.471987
$712$	11.3709	−	19.6950i	0.426143	−	0.738101i
$713$	−2.47661	+	4.28961i	−0.0927497	+	0.160647i
$714$	28.1321			1.05282
$715$	9.17891			0.343272
$716$	5.48003	−	9.49169i	0.204798	−	0.354721i
$717$	8.11608	+	14.0575i	0.303100	+	0.524985i
$718$	6.94966	−	12.0372i	0.259359	−	0.449223i
$719$	1.32109	+	2.28819i	0.0492683	+	0.0853351i	0.889608	−	0.456725i	$-0.150978\pi$
$719$	1.32109	+	2.28819i	0.0492683	+	0.0853351i	−0.840340	+	0.542060i	$0.817644\pi$
$720$	−4.09391	−	7.09086i	−0.152571	−	0.264261i
$721$	−28.1980			−1.05015
$722$	−13.8995	−	28.4083i	−0.517284	−	1.05725i
$723$	−17.6581			−0.656711
$724$	−3.80832	−	6.59621i	−0.141535	−	0.245146i
$725$	−1.30917	−	2.26755i	−0.0486213	−	0.0842145i
$726$	−21.3484	+	36.9765i	−0.792313	+	1.37233i
$727$	5.08653	+	8.81013i	0.188649	+	0.326750i	0.944800	−	0.327647i	$-0.106256\pi$
$727$	5.08653	+	8.81013i	0.188649	+	0.326750i	−0.756151	+	0.654397i	$0.772923\pi$
$728$	−3.97400	+	6.88317i	−0.147286	+	0.255107i
$729$	20.9284			0.775126
$730$	17.0615			0.631476
$731$	13.5815	−	23.5238i	0.502329	−	0.870060i
$732$	−4.70546	+	8.15009i	−0.173919	+	0.301236i
$733$	14.8222			0.547472			0.273736	−	0.961805i	$-0.411741\pi$
$733$	14.8222			0.547472			0.273736	+	0.961805i	$0.411741\pi$
$734$	−24.0023			−0.885942
$735$	−0.620199	+	1.07422i	−0.0228764	+	0.0396231i
$736$	1.94720	+	3.37266i	0.0717749	+	0.124318i
$737$	2.90494	−	5.03151i	0.107005	−	0.185338i
$738$	8.69865	+	15.0665i	0.320202	+	0.554605i
$739$	−17.7433	−	30.7323i	−0.652697	−	1.13050i	−0.982466	−	0.186443i	$-0.940304\pi$
$739$	−17.7433	−	30.7323i	−0.652697	−	1.13050i	0.329769	−	0.944062i	$-0.393029\pi$
$740$	−2.23031			−0.0819877
$741$	0.276386	−	8.05845i	0.0101533	−	0.296035i
$742$	−8.90325			−0.326849
$743$	4.36941	+	7.56804i	0.160298	+	0.277645i	0.934976	−	0.354712i	$-0.115421\pi$
$743$	4.36941	+	7.56804i	0.160298	+	0.277645i	−0.774677	+	0.632357i	$0.782088\pi$
$744$	−6.25210	−	10.8289i	−0.229213	−	0.397009i
$745$	−7.19642	+	12.4646i	−0.263656	+	0.456666i
$746$	−20.0708	−	34.7637i	−0.734846	−	1.27279i
$747$	2.57641	−	4.46247i	0.0942658	−	0.163273i
$748$	26.5408			0.970428
$749$	−43.6342			−1.59436
$750$	−0.965233	+	1.67183i	−0.0352453	+	0.0610467i
$751$	−6.54957	+	11.3442i	−0.238997	+	0.413955i	−0.960427	−	0.278533i	$-0.910152\pi$
$751$	−6.54957	+	11.3442i	−0.238997	+	0.413955i	0.721430	+	0.692488i	$0.243485\pi$
$752$	−44.3011			−1.61549
$753$	7.08911			0.258342
$754$	−3.47580	+	6.02026i	−0.126581	+	0.219245i
$755$	−6.36093	−	11.0175i	−0.231498	−	0.400966i
$756$	5.06627	−	8.77504i	0.184258	−	0.319145i
$757$	8.21901	+	14.2357i	0.298725	+	0.517407i	0.975845	−	0.218466i	$-0.0701053\pi$
$757$	8.21901	+	14.2357i	0.298725	+	0.517407i	−0.677119	+	0.735873i	$0.736772\pi$
$758$	13.8787	+	24.0386i	0.504097	+	0.873121i
$759$	−6.27397			−0.227731
$760$	−7.87259	+	4.19222i	−0.285569	+	0.152068i
$761$	16.3918			0.594203			0.297101	−	0.954846i	$-0.403980\pi$
$761$	16.3918			0.594203			0.297101	+	0.954846i	$0.403980\pi$
$762$	−5.90714	−	10.2315i	−0.213993	−	0.370647i
$763$	6.84879	+	11.8625i	0.247943	+	0.429450i
$764$	5.00738	−	8.67304i	0.181161	−	0.313780i
$765$	−4.95171	−	8.57661i	−0.179029	−	0.310088i
$766$	−9.05337	+	15.6809i	−0.327112	+	0.566574i
$767$	17.2242			0.621929
$768$	−18.6756			−0.673899
$769$	25.0210	−	43.3377i	0.902282	−	1.56280i	0.0777564	−	0.996972i	$-0.475224\pi$
$769$	25.0210	−	43.3377i	0.902282	−	1.56280i	0.824525	−	0.565825i	$-0.191442\pi$
$770$	11.6637	−	20.2022i	0.420332	−	0.728036i
$771$	−0.142282			−0.00512416
$772$	11.1875			0.402649
$773$	−24.3436	+	42.1644i	−0.875580	+	1.51655i	−0.0194356	+	0.999811i	$0.506187\pi$
$773$	−24.3436	+	42.1644i	−0.875580	+	1.51655i	−0.856144	+	0.516737i	$0.827146\pi$
$774$	−6.25225	−	10.8292i	−0.224732	−	0.389248i
$775$	2.63457	−	4.56320i	0.0946364	−	0.163915i
$776$	−4.15151	−	7.19063i	−0.149031	−	0.258129i
$777$	4.08653	+	7.07808i	0.146603	+	0.253925i
$778$	−60.6799			−2.17548
$779$	24.2977	−	12.9387i	0.870555	−	0.463577i
$780$	1.42568			0.0510474
$781$	25.4185	+	44.0261i	0.909544	+	1.57538i
$782$	4.68176	+	8.10905i	0.167419	+	0.289979i
$783$	−7.06771	+	12.2416i	−0.252579	+	0.437480i
$784$	−2.64572	−	4.58252i	−0.0944900	−	0.163662i
$785$	1.68765	−	2.92309i	0.0602348	−	0.104330i
$786$	−28.7275			−1.02467
$787$	6.51678			0.232298			0.116149	−	0.993232i	$-0.462945\pi$
$787$	6.51678			0.232298			0.116149	+	0.993232i	$0.462945\pi$
$788$	9.63426	−	16.6870i	0.343206	−	0.594451i
$789$	−5.83388	+	10.1046i	−0.207692	+	0.359732i
$790$	−12.6582			−0.450358
$791$	38.1820			1.35760
$792$	−9.74399	+	16.8771i	−0.346238	+	0.599701i
$793$	−8.39668	−	14.5435i	−0.298175	−	0.516454i
$794$	7.14407	−	12.3739i	0.253534	−	0.439133i
$795$	−1.27364	−	2.20600i	−0.0451712	−	0.0782388i
$796$	0.869124	+	1.50537i	0.0308053	+	0.0533563i
$797$	38.3796			1.35947			0.679737	−	0.733456i	$-0.262094\pi$
$797$	38.3796			1.35947			0.679737	+	0.733456i	$0.262094\pi$
$798$	−17.3849	−	10.8483i	−0.615419	−	0.384024i
$799$	−53.5834			−1.89565
$800$	−2.07140	−	3.58777i	−0.0732350	−	0.126847i
$801$	−9.19675	−	15.9292i	−0.324951	−	0.562832i
$802$	−14.1950	+	24.5864i	−0.501242	+	0.868177i
$803$	−29.4931	−	51.0836i	−1.04079	−	1.80270i
$804$	0.451198	−	0.781498i	0.0159125	−	0.0275613i
$805$	2.28925			0.0806853
$806$	−13.9894			−0.492755
$807$	3.31243	−	5.73729i	0.116603	−	0.201962i
$808$	11.3872	−	19.7232i	0.400601	−	0.693861i
$809$	25.1409			0.883906			0.441953	−	0.897038i	$-0.354286\pi$
$809$	25.1409			0.883906			0.441953	+	0.897038i	$0.354286\pi$
$810$	2.15756			0.0758089
$811$	23.5053	−	40.7124i	0.825383	−	1.42961i	−0.0762426	−	0.997089i	$-0.524292\pi$
$811$	23.5053	−	40.7124i	0.825383	−	1.42961i	0.901626	−	0.432517i	$-0.142374\pi$
$812$	2.45714	+	4.25590i	0.0862289	+	0.149353i
$813$	−7.37094	+	12.7668i	−0.258510	+	0.447753i
$814$	13.8601	+	24.0064i	0.485797	+	0.841425i
$815$	−0.153980	−	0.266702i	−0.00539369	−	0.00934215i
$816$	−34.3354			−1.20198
$817$	−17.4642	+	9.29984i	−0.610996	+	0.325360i
$818$	19.6317			0.686406
$819$	3.21416	+	5.56708i	0.112312	+	0.194530i
$820$	2.43365	+	4.21520i	0.0849867	+	0.147201i
$821$	9.91021	−	17.1650i	0.345869	−	0.599062i	−0.639642	−	0.768673i	$-0.720918\pi$
$821$	9.91021	−	17.1650i	0.345869	−	0.599062i	0.985511	+	0.169610i	$0.0542509\pi$
$822$	−16.7471	−	29.0069i	−0.584123	−	1.01173i
$823$	19.6084	−	33.9627i	0.683505	−	1.18387i	−0.290399	−	0.956906i	$-0.593788\pi$
$823$	19.6084	−	33.9627i	0.683505	−	1.18387i	0.973904	−	0.226960i	$-0.0728786\pi$
$824$	23.6932			0.825391
$825$	6.67412			0.232363
$826$	21.8869	−	37.9092i	0.761543	−	1.31903i
$827$	5.92176	−	10.2568i	0.205920	−	0.356663i	−0.744506	−	0.667616i	$-0.767315\pi$
$827$	5.92176	−	10.2568i	0.205920	−	0.356663i	0.950425	+	0.310953i	$0.100648\pi$
$828$	1.19903			0.0416690
$829$	46.9321			1.63002			0.815010	−	0.579447i	$-0.196731\pi$
$829$	46.9321			1.63002			0.815010	+	0.579447i	$0.196731\pi$
$830$	2.59132	−	4.48830i	0.0899460	−	0.155791i
$831$	10.2070	+	17.6790i	0.354076	+	0.613278i
$832$	2.39170	−	4.14255i	0.0829174	−	0.143617i
$833$	−3.20008	−	5.54270i	−0.110876	−	0.192043i
$834$	6.47222	+	11.2102i	0.224115	+	0.388178i
$835$	14.2643			0.493636
$836$	−16.4015	−	10.2346i	−0.567259	−	0.353972i
$837$	−28.4461			−0.983240
$838$	0.951117	+	1.64738i	0.0328558	+	0.0569079i
$839$	26.5669	+	46.0153i	0.917192	+	1.58862i	0.803660	+	0.595089i	$0.202883\pi$
$839$	26.5669	+	46.0153i	0.917192	+	1.58862i	0.113532	+	0.993534i	$0.463783\pi$
$840$	−2.88955	+	5.00486i	−0.0996991	+	0.172684i
$841$	11.0722	+	19.1775i	0.381799	+	0.661294i
$842$	16.2450	−	28.1372i	0.559841	−	0.969673i
$843$	23.7755			0.818870
$844$	17.1222			0.589370
$845$	5.22797	−	9.05511i	0.179848	−	0.311505i
$846$	−12.3336	+	21.3624i	−0.424038	+	0.734455i
$847$	−53.8613			−1.85070
$848$	10.8665			0.373156
$849$	−6.87509	+	11.9080i	−0.235952	+	0.408682i
$850$	−4.98037	−	8.62625i	−0.170825	−	0.295878i
$851$	−1.36017	+	2.35588i	−0.0466259	+	0.0807584i
$852$	3.94802	+	6.83816i	0.135257	+	0.234272i
$853$	−21.1499	−	36.6327i	−0.724159	−	1.25428i	−0.959319	−	0.282324i	$-0.908895\pi$
$853$	−21.1499	−	36.6327i	−0.724159	−	1.25428i	0.235160	−	0.971957i	$-0.424438\pi$
$854$	−42.6790			−1.46045
$855$	−0.247272	+	7.20959i	−0.00845654	+	0.246563i
$856$	36.6634			1.25313
$857$	−11.7692	−	20.3849i	−0.402028	−	0.696333i	0.591942	−	0.805980i	$-0.298361\pi$
$857$	−11.7692	−	20.3849i	−0.402028	−	0.696333i	−0.993971	+	0.109647i	$0.965028\pi$
$858$	−8.85979	−	15.3456i	−0.302468	−	0.523890i
$859$	−4.74062	+	8.21099i	−0.161748	+	0.280156i	−0.935496	−	0.353338i	$-0.885046\pi$
$859$	−4.74062	+	8.21099i	−0.161748	+	0.280156i	0.773748	+	0.633494i	$0.218380\pi$
$860$	−1.74921	−	3.02972i	−0.0596476	−	0.103313i
$861$	8.91821	−	15.4468i	0.303932	−	0.526425i
$862$	61.3859			2.09081
$863$	22.8204			0.776816			0.388408	−	0.921487i	$-0.373025\pi$
$863$	22.8204			0.776816			0.388408	+	0.921487i	$0.373025\pi$
$864$	−11.1827	+	19.3690i	−0.380443	+	0.658947i
$865$	−6.67357	+	11.5590i	−0.226908	+	0.393016i
$866$	−0.614106			−0.0208682
$867$	−21.8138			−0.740834
$868$	−4.94475	+	8.56456i	−0.167836	+	0.290700i
$869$	21.8813	+	37.8996i	0.742273	+	1.28565i
$870$	−2.52730	+	4.37742i	−0.0856836	+	0.148408i
$871$	0.805144	+	1.39455i	0.0272813	+	0.0472525i
$872$	−5.75466	−	9.96736i	−0.194877	−	0.337537i
$873$	−6.71546			−0.227284
$874$	0.233792	−	6.81656i	0.00790814	−	0.230574i
$875$	−2.43525			−0.0823266
$876$	−4.58089	−	7.93434i	−0.154774	−	0.268077i
$877$	12.6471	+	21.9054i	0.427062	+	0.739693i	0.996611	−	0.0822647i	$-0.0262153\pi$
$877$	12.6471	+	21.9054i	0.427062	+	0.739693i	−0.569549	+	0.821958i	$0.692882\pi$
$878$	−1.88459	+	3.26421i	−0.0636018	+	0.110162i
$879$	−14.4862	−	25.0908i	−0.488606	−	0.846291i
$880$	−14.2356	+	24.6569i	−0.479883	+	0.831182i
$881$	−33.2871			−1.12147			−0.560736	−	0.827995i	$-0.689482\pi$
$881$	−33.2871			−1.12147			−0.560736	+	0.827995i	$0.689482\pi$
$882$	−2.94632			−0.0992077
$883$	7.65544	−	13.2596i	0.257626	−	0.446222i	−0.707979	−	0.706233i	$-0.750393\pi$
$883$	7.65544	−	13.2596i	0.257626	−	0.446222i	0.965606	+	0.260011i	$0.0837264\pi$
$884$	−3.67807	+	6.37061i	−0.123707	+	0.214267i
$885$	12.5239			0.420988
$886$	27.4030			0.920621
$887$	−21.6027	+	37.4171i	−0.725349	+	1.25634i	0.233481	+	0.972361i	$0.424988\pi$
$887$	−21.6027	+	37.4171i	−0.725349	+	1.25634i	−0.958830	+	0.283980i	$0.908345\pi$
$888$	−3.43368	−	5.94731i	−0.115227	−	0.199579i
$889$	7.45177	−	12.9068i	0.249924	−	0.432882i
$890$	−9.24998	−	16.0214i	−0.310060	−	0.537040i
$891$	−3.72962	−	6.45990i	−0.124947	−	0.216415i
$892$	7.87356			0.263626
$893$	33.1132	+	20.6628i	1.10809	+	0.691453i
$894$	27.7849			0.929265
$895$	7.11036	+	12.3155i	0.237673	+	0.411662i
$896$	−16.1671	−	28.0022i	−0.540104	−	0.935488i
$897$	0.869457	−	1.50594i	0.0290303	−	0.0502820i
$898$	11.7861	+	20.4141i	0.393307	+	0.681228i
$899$	6.89818	−	11.9480i	0.230067	−	0.398488i
$900$	−1.27550			−0.0425166
$901$	13.1433			0.437867
$902$	30.2475	−	52.3903i	1.00713	−	1.74441i
$903$	−6.41007	+	11.1026i	−0.213314	+	0.369470i
$904$	−32.0822			−1.06704
$905$	9.88263			0.328510
$906$	−12.2796	+	21.2688i	−0.407961	+	0.706609i
$907$	−7.16392	−	12.4083i	−0.237874	−	0.412010i	0.722230	−	0.691653i	$-0.243117\pi$
$907$	−7.16392	−	12.4083i	−0.237874	−	0.412010i	−0.960104	+	0.279643i	$0.909784\pi$
$908$	−1.59992	+	2.77114i	−0.0530951	+	0.0919634i
$909$	−9.20994	−	15.9521i	−0.305475	−	0.529097i
$910$	3.23276	+	5.59930i	0.107165	+	0.185615i
$911$	−4.61162			−0.152790			−0.0763949	−	0.997078i	$-0.524341\pi$
$911$	−4.61162			−0.152790			−0.0763949	+	0.997078i	$0.524341\pi$
$912$	21.2184	+	13.2404i	0.702610	+	0.438432i
$913$	−17.9177			−0.592990
$914$	1.01598	+	1.75973i	0.0336056	+	0.0582066i
$915$	−6.10535	−	10.5748i	−0.201837	−	0.349592i
$916$	−2.51747	+	4.36038i	−0.0831795	+	0.144071i
$917$	−18.1196	−	31.3841i	−0.598363	−	1.03640i
$918$	−26.8871	+	46.5699i	−0.887407	+	1.53703i
$919$	26.4921			0.873892			0.436946	−	0.899488i	$-0.356060\pi$
$919$	26.4921			0.873892			0.436946	+	0.899488i	$0.356060\pi$
$920$	−1.92353			−0.0634168
$921$	9.81149	−	16.9940i	0.323300	−	0.559972i
$922$	−7.23378	+	12.5293i	−0.238232	+	0.412630i
$923$	−14.0901			−0.463782
$924$	−12.5265			−0.412091
$925$	1.44692	−	2.50613i	0.0475744	−	0.0824012i
$926$	−16.4082	−	28.4198i	−0.539206	−	0.933932i
$927$	9.58148	−	16.5956i	0.314697	−	0.545072i
$928$	−5.42362	−	9.39398i	−0.178039	−	0.308372i
$929$	2.37863	+	4.11990i	0.0780402	+	0.135170i	0.902404	−	0.430890i	$-0.141800\pi$
$929$	2.37863	+	4.11990i	0.0780402	+	0.135170i	−0.824364	+	0.566060i	$0.808467\pi$
$930$	−10.1719			−0.333549
$931$	−0.159802	+	4.65925i	−0.00523729	+	0.152701i
$932$	3.96777			0.129969
$933$	−8.82188	−	15.2799i	−0.288815	−	0.500243i
$934$	−9.55406	−	16.5481i	−0.312619	−	0.541471i
$935$	−17.2184	+	29.8232i	−0.563103	+	0.975322i
$936$	−2.70068	−	4.67771i	−0.0882744	−	0.152896i
$937$	5.96833	−	10.3375i	0.194977	−	0.337710i	−0.751916	−	0.659259i	$-0.770870\pi$
$937$	5.96833	−	10.3375i	0.194977	−	0.337710i	0.946893	+	0.321549i	$0.104203\pi$
$938$	4.09242			0.133622
$939$	−28.9096			−0.943429
$940$	−3.45061	+	5.97663i	−0.112546	+	0.194936i
$941$	8.99715	−	15.5835i	0.293299	−	0.508008i	−0.681289	−	0.732015i	$-0.738580\pi$
$941$	8.99715	−	15.5835i	0.293299	−	0.508008i	0.974588	+	0.224006i	$0.0719136\pi$
$942$	−6.51590			−0.212299
$943$	5.93670			0.193326
$944$	−26.7131	+	46.2684i	−0.869437	+	1.50591i
$945$	6.57351	+	11.3857i	0.213836	+	0.370375i
$946$	−21.7408	+	37.6561i	−0.706853	+	1.22431i
$947$	12.6096	+	21.8404i	0.409755	+	0.709717i	0.994862	−	0.101239i	$-0.0322807\pi$
$947$	12.6096	+	21.8404i	0.409755	+	0.709717i	−0.585107	+	0.810956i	$0.698947\pi$
$948$	3.39862	+	5.88659i	0.110382	+	0.191188i
$949$	16.3488			0.530705
$950$	−0.248704	+	7.25132i	−0.00806901	+	0.235264i
$951$	29.2611			0.948858
$952$	−14.9094	−	25.8238i	−0.483216	−	0.836955i
$953$	−21.1589	−	36.6484i	−0.685405	−	1.18716i	−0.973309	−	0.229498i	$-0.926292\pi$
$953$	−21.1589	−	36.6484i	−0.685405	−	1.18716i	0.287904	−	0.957659i	$-0.407042\pi$
$954$	3.02527	−	5.23991i	0.0979466	−	0.169648i
$955$	6.49710	+	11.2533i	0.210241	+	0.364149i
$956$	−5.39350	+	9.34181i	−0.174438	+	0.302136i
$957$	17.4751			0.564890
$958$	−65.3552			−2.11153
$959$	21.1263	−	36.5918i	0.682203	−	1.18161i
$960$	1.73904	−	3.01211i	0.0561274	−	0.0972155i
$961$	−3.23623			−0.104395
$962$	−7.68304			−0.247711
$963$	14.8266	−	25.6805i	0.477781	−	0.827542i
$964$	−5.86730	−	10.1625i	−0.188973	−	0.327311i
$965$	−7.25795	+	12.5711i	−0.233642	+	0.404679i
$966$	−2.20966	−	3.82724i	−0.0710945	−	0.123139i
$967$	6.84820	+	11.8614i	0.220223	+	0.381438i	0.954876	−	0.297006i	$-0.0959881\pi$
$967$	6.84820	+	11.8614i	0.220223	+	0.381438i	−0.734652	+	0.678444i	$0.762655\pi$
$968$	45.2567			1.45460
$969$	25.6642	+	16.0146i	0.824454	+	0.514463i
$970$	−6.75432			−0.216868
$971$	19.2906	+	33.4123i	0.619065	+	1.07225i	0.989657	+	0.143457i	$0.0458217\pi$
$971$	19.2906	+	33.4123i	0.619065	+	1.07225i	−0.370591	+	0.928796i	$0.620845\pi$
$972$	5.66187	+	9.80665i	0.181605	+	0.314548i
$973$	−8.16461	+	14.1415i	−0.261745	+	0.453356i
$974$	26.2951	+	45.5445i	0.842549	+	1.45934i
$975$	−0.924911	+	1.60199i	−0.0296209	+	0.0513048i
$976$	52.0899			1.66736
$977$	−17.4592			−0.558568			−0.279284	−	0.960209i	$-0.590097\pi$
$977$	−17.4592			−0.558568			−0.279284	+	0.960209i	$0.590097\pi$
$978$	−0.297253	+	0.514858i	−0.00950512	+	0.0164633i
$979$	−31.9796	+	55.3903i	−1.02207	+	1.77028i
$980$	−0.824301			−0.0263313
$981$	−9.30869			−0.297204
$982$	−9.20805	+	15.9488i	−0.293841	+	0.508947i
$983$	−21.9581	−	38.0325i	−0.700353	−	1.21305i	−0.968342	−	0.249625i	$-0.919692\pi$
$983$	−21.9581	−	38.0325i	−0.700353	−	1.21305i	0.267989	−	0.963422i	$-0.413641\pi$
$984$	−7.49348	+	12.9791i	−0.238883	+	0.413758i
$985$	12.5005	+	21.6515i	0.398299	+	0.689875i
$986$	−13.0403	−	22.5864i	−0.415287	−	0.719298i
$987$	25.2898			0.804984
$988$	4.72958	−	2.51854i	0.150468	−	0.0801254i
$989$	−4.26707			−0.135685
$990$	7.92652	+	13.7291i	0.251921	+	0.436340i
$991$	−23.1731	−	40.1370i	−0.736118	−	1.27499i	−0.954231	−	0.299071i	$-0.903323\pi$
$991$	−23.1731	−	40.1370i	−0.736118	−	1.27499i	0.218112	−	0.975924i	$-0.430010\pi$
$992$	10.9145	−	18.9044i	0.346535	−	0.600216i
$993$	−11.7172	−	20.2948i	−0.371834	−	0.644035i
$994$	−17.9045	+	31.0114i	−0.567895	+	0.983623i
$995$	−2.25539			−0.0715006
$996$	−2.78300			−0.0881827
$997$	−5.86857	+	10.1647i	−0.185859	+	0.321918i	−0.943866	−	0.330329i	$-0.892840\pi$
$997$	−5.86857	+	10.1647i	−0.185859	+	0.321918i	0.758006	+	0.652247i	$0.226174\pi$
$998$	−16.9563	+	29.3692i	−0.536744	+	0.929667i
$999$	−15.6227			−0.494281

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.e.c.26.4	yes	8
3.2	odd	2		855.2.k.h.406.1		8
4.3	odd	2		1520.2.q.o.881.1		8
5.2	odd	4		475.2.j.c.349.2		16
5.3	odd	4		475.2.j.c.349.7		16
5.4	even	2		475.2.e.e.26.1		8
19.7	even	3		1805.2.a.o.1.1		4
19.11	even	3	inner	95.2.e.c.11.4	✓	8
19.12	odd	6		1805.2.a.i.1.4		4
57.11	odd	6		855.2.k.h.676.1		8
76.11	odd	6		1520.2.q.o.961.1		8
95.49	even	6		475.2.e.e.201.1		8
95.64	even	6		9025.2.a.bg.1.4		4
95.68	odd	12		475.2.j.c.49.2		16
95.69	odd	6		9025.2.a.bp.1.1		4
95.87	odd	12		475.2.j.c.49.7		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.e.c.11.4	✓	8	19.11	even	3	inner
95.2.e.c.26.4	yes	8	1.1	even	1	trivial
475.2.e.e.26.1		8	5.4	even	2
475.2.e.e.201.1		8	95.49	even	6
475.2.j.c.49.2		16	95.68	odd	12
475.2.j.c.49.7		16	95.87	odd	12
475.2.j.c.349.2		16	5.2	odd	4
475.2.j.c.349.7		16	5.3	odd	4
855.2.k.h.406.1		8	3.2	odd	2
855.2.k.h.676.1		8	57.11	odd	6
1520.2.q.o.881.1		8	4.3	odd	2
1520.2.q.o.961.1		8	76.11	odd	6
1805.2.a.i.1.4		4	19.12	odd	6
1805.2.a.o.1.1		4	19.7	even	3
9025.2.a.bg.1.4		4	95.64	even	6
9025.2.a.bp.1.1		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)

\(f(q)\)	\(=\)	\(q+(0.832272 + 1.44154i) q^{2} +(0.579878 + 1.00438i) q^{3} +(-0.385355 + 0.667454i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.965233 + 1.67183i) q^{6} -2.43525 q^{7} +2.04621 q^{8} +(0.827483 - 1.43324i) q^{9} +O(q^{10})\)	\(q+(0.832272 + 1.44154i) q^{2} +(0.579878 + 1.00438i) q^{3} +(-0.385355 + 0.667454i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-0.965233 + 1.67183i) q^{6} -2.43525 q^{7} +2.04621 q^{8} +(0.827483 - 1.43324i) q^{9} +(0.832272 - 1.44154i) q^{10} -5.75477 q^{11} -0.893835 q^{12} +(0.797505 - 1.38132i) q^{13} +(-2.02680 - 3.51051i) q^{14} +(0.579878 - 1.00438i) q^{15} +(2.47371 + 4.28460i) q^{16} +(2.99203 + 5.18234i) q^{17} +2.75477 q^{18} +(0.149412 - 4.35634i) q^{19} +0.770710 q^{20} +(-1.41215 - 2.44592i) q^{21} +(-4.78953 - 8.29572i) q^{22} +(0.470022 - 0.814102i) q^{23} +(1.18655 + 2.05517i) q^{24} +(-0.500000 + 0.866025i) q^{25} +2.65497 q^{26} +5.39862 q^{27} +(0.938437 - 1.62542i) q^{28} +(-1.30917 + 2.26755i) q^{29} +1.93047 q^{30} -5.26913 q^{31} +(-2.07140 + 3.58777i) q^{32} +(-3.33706 - 5.77996i) q^{33} +(-4.98037 + 8.62625i) q^{34} +(1.21763 + 2.10899i) q^{35} +(0.637749 + 1.10461i) q^{36} -2.89384 q^{37} +(6.40418 - 3.41028i) q^{38} +1.84982 q^{39} +(-1.02310 - 1.77207i) q^{40} +(3.15767 + 5.46925i) q^{41} +(2.35059 - 4.07134i) q^{42} +(-2.26961 - 3.93108i) q^{43} +(2.21763 - 3.84104i) q^{44} -1.65497 q^{45} +1.56475 q^{46} +(-4.47718 + 7.75471i) q^{47} +(-2.86890 + 4.96909i) q^{48} -1.06953 q^{49} -1.66454 q^{50} +(-3.47002 + 6.01025i) q^{51} +(0.614645 + 1.06460i) q^{52} +(1.09819 - 1.90213i) q^{53} +(4.49313 + 7.78232i) q^{54} +(2.87738 + 4.98377i) q^{55} -4.98304 q^{56} +(4.46205 - 2.37608i) q^{57} -4.35834 q^{58} +(5.39939 + 9.35202i) q^{59} +(0.446918 + 0.774084i) q^{60} +(5.26434 - 9.11811i) q^{61} +(-4.38535 - 7.59566i) q^{62} +(-2.01513 + 3.49031i) q^{63} +2.99898 q^{64} -1.59501 q^{65} +(5.55469 - 9.62100i) q^{66} +(-0.504789 + 0.874320i) q^{67} -4.61197 q^{68} +1.09022 q^{69} +(-2.02680 + 3.51051i) q^{70} +(-4.41694 - 7.65036i) q^{71} +(1.69320 - 2.93271i) q^{72} +(5.12499 + 8.87674i) q^{73} +(-2.40846 - 4.17157i) q^{74} -1.15976 q^{75} +(2.85008 + 1.77846i) q^{76} +14.0143 q^{77} +(1.53956 + 2.66659i) q^{78} +(-3.80229 - 6.58577i) q^{79} +(2.47371 - 4.28460i) q^{80} +(0.648093 + 1.12253i) q^{81} +(-5.25609 + 9.10381i) q^{82} +3.11355 q^{83} +2.17672 q^{84} +(2.99203 - 5.18234i) q^{85} +(3.77787 - 6.54346i) q^{86} -3.03663 q^{87} -11.7755 q^{88} +(5.55706 - 9.62511i) q^{89} +(-1.37738 - 2.38570i) q^{90} +(-1.94213 + 3.36387i) q^{91} +(0.362251 + 0.627436i) q^{92} +(-3.05545 - 5.29220i) q^{93} -14.9049 q^{94} +(-3.84741 + 2.04877i) q^{95} -4.80463 q^{96} +(-2.02888 - 3.51412i) q^{97} +(-0.890144 - 1.54177i) q^{98} +(-4.76197 + 8.24798i) 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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