LMFDB - Embedded newform 231.2.j.f.148.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [231,2,Mod(64,231)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(231, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 0, 6]))

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

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

chi := DirichletCharacter("231.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 231 = 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	231.j (of order $5$, degree $4$, 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:	$1.84454428669$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.13140625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 $ x^8 - 3x^7 + 5x^6 - 3x^5 + 4x^4 + 3x^3 + 5x^2 + 3*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			148.2
Root			$-0.227943 - 0.701538i$ of defining polynomial
Character	$\chi$	$=$	231.148
Dual form			231.2.j.f.64.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.449894 + 1.38463i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-0.0967635 + 0.0703028i) q^{4} +(0.737640 - 2.27022i) q^{5} +(-0.449894 + 1.38463i) q^{6} +(0.809017 - 0.587785i) q^{7} +(2.21480 + 1.60914i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.449894 + 1.38463i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-0.0967635 + 0.0703028i) q^{4} +(0.737640 - 2.27022i) q^{5} +(-0.449894 + 1.38463i) q^{6} +(0.809017 - 0.587785i) q^{7} +(2.21480 + 1.60914i) q^{8} +(0.309017 + 0.951057i) q^{9} +3.47528 q^{10} +(-3.30902 + 0.224514i) q^{11} -0.119606 q^{12} +(-0.281754 - 0.867148i) q^{13} +(1.17784 + 0.855749i) q^{14} +(1.93117 - 1.40308i) q^{15} +(-1.30557 + 4.01813i) q^{16} +(-0.675706 + 2.07961i) q^{17} +(-1.17784 + 0.855749i) q^{18} +(-0.575493 - 0.418120i) q^{19} +(0.0882264 + 0.271533i) q^{20} +1.00000 q^{21} +(-1.79958 - 4.48076i) q^{22} -7.80466 q^{23} +(0.845977 + 2.60365i) q^{24} +(-0.564716 - 0.410290i) q^{25} +(1.07392 - 0.780249i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(-0.0369604 + 0.113752i) q^{28} +(-7.17390 + 5.21214i) q^{29} +(2.81156 + 2.04272i) q^{30} +(-2.04763 - 6.30195i) q^{31} -0.675706 q^{32} +(-2.80902 - 1.76336i) q^{33} -3.18348 q^{34} +(-0.737640 - 2.27022i) q^{35} +(-0.0967635 - 0.0703028i) q^{36} +(3.40233 - 2.47194i) q^{37} +(0.320031 - 0.984955i) q^{38} +(0.281754 - 0.867148i) q^{39} +(5.28684 - 3.84112i) q^{40} +(9.67390 + 7.02850i) q^{41} +(0.449894 + 1.38463i) q^{42} +7.51601 q^{43} +(0.304408 - 0.254358i) q^{44} +2.38705 q^{45} +(-3.51127 - 10.8066i) q^{46} +(-5.07392 - 3.68642i) q^{47} +(-3.41802 + 2.48334i) q^{48} +(0.309017 - 0.951057i) q^{49} +(0.314038 - 0.966510i) q^{50} +(-1.76902 + 1.28527i) q^{51} +(0.0882264 + 0.0641003i) q^{52} +(-2.02884 - 6.24411i) q^{53} -1.45589 q^{54} +(-1.93117 + 7.67782i) q^{55} +2.73764 q^{56} +(-0.219819 - 0.676533i) q^{57} +(-10.4444 - 7.58829i) q^{58} +(7.78527 - 5.65633i) q^{59} +(-0.0882264 + 0.271533i) q^{60} +(-0.0193938 + 0.0596881i) q^{61} +(7.80466 - 5.67042i) q^{62} +(0.809017 + 0.587785i) q^{63} +(2.30714 + 7.10065i) q^{64} -2.17645 q^{65} +(1.17784 - 4.68277i) q^{66} -11.3294 q^{67} +(-0.0808187 - 0.248734i) q^{68} +(-6.31411 - 4.58747i) q^{69} +(2.81156 - 2.04272i) q^{70} +(-1.84466 + 5.67728i) q^{71} +(-0.845977 + 2.60365i) q^{72} +(3.54920 - 2.57865i) q^{73} +(4.95341 + 3.59886i) q^{74} +(-0.215702 - 0.663864i) q^{75} +0.0850818 q^{76} +(-2.54508 + 2.12663i) q^{77} +1.32744 q^{78} +(-1.50097 - 4.61952i) q^{79} +(8.15900 + 5.92786i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-5.37965 + 16.5568i) q^{82} +(3.10530 - 9.55713i) q^{83} +(-0.0967635 + 0.0703028i) q^{84} +(4.22275 + 3.06801i) q^{85} +(3.38141 + 10.4069i) q^{86} -8.86742 q^{87} +(-7.69008 - 4.82743i) q^{88} -0.261535 q^{89} +(1.07392 + 3.30519i) q^{90} +(-0.737640 - 0.535927i) q^{91} +(0.755207 - 0.548690i) q^{92} +(2.04763 - 6.30195i) q^{93} +(2.82160 - 8.68400i) q^{94} +(-1.37373 + 0.998076i) q^{95} +(-0.546657 - 0.397170i) q^{96} +(3.05453 + 9.40087i) q^{97} +1.45589 q^{98} +(-1.23607 - 3.07768i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} - 2 q^{9} + 20 q^{10} - 22 q^{11} - 6 q^{12} - 8 q^{13} + 3 q^{14} - 2 q^{15} + 4 q^{16} - 4 q^{17} - 3 q^{18} + 20 q^{20} + 8 q^{21} - 8 q^{22} - 20 q^{23} - 7 q^{24} - 26 q^{25} - 10 q^{26} + 2 q^{27} + 9 q^{28} + 24 q^{31} - 4 q^{32} - 18 q^{33} + 36 q^{34} - 2 q^{35} + 6 q^{36} + 6 q^{37} + 14 q^{38} + 8 q^{39} + 12 q^{40} + 20 q^{41} + 2 q^{42} - 8 q^{43} - 39 q^{44} - 8 q^{45} - 43 q^{46} - 22 q^{47} + q^{48} - 2 q^{49} + 22 q^{50} + 4 q^{51} + 20 q^{52} - 20 q^{53} - 2 q^{54} + 2 q^{55} + 18 q^{56} - 10 q^{57} - 17 q^{58} + 18 q^{59} - 20 q^{60} - 2 q^{61} + 20 q^{62} + 2 q^{63} + 18 q^{64} - 56 q^{65} + 3 q^{66} - 56 q^{67} - 2 q^{68} - 10 q^{69} + 14 q^{71} + 7 q^{72} + 2 q^{73} - 12 q^{74} - 14 q^{75} - 8 q^{76} + 2 q^{77} + 40 q^{78} + 20 q^{79} + 38 q^{80} - 2 q^{81} + 2 q^{82} - 8 q^{83} + 6 q^{84} + 60 q^{85} + 55 q^{86} - 38 q^{88} - 32 q^{89} - 10 q^{90} - 2 q^{91} - 9 q^{92} - 24 q^{93} + 48 q^{94} - 28 q^{95} + 4 q^{96} + 4 q^{97} + 2 q^{98} + 8 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 - 2 * q^9 + 20 * q^10 - 22 * q^11 - 6 * q^12 - 8 * q^13 + 3 * q^14 - 2 * q^15 + 4 * q^16 - 4 * q^17 - 3 * q^18 + 20 * q^20 + 8 * q^21 - 8 * q^22 - 20 * q^23 - 7 * q^24 - 26 * q^25 - 10 * q^26 + 2 * q^27 + 9 * q^28 + 24 * q^31 - 4 * q^32 - 18 * q^33 + 36 * q^34 - 2 * q^35 + 6 * q^36 + 6 * q^37 + 14 * q^38 + 8 * q^39 + 12 * q^40 + 20 * q^41 + 2 * q^42 - 8 * q^43 - 39 * q^44 - 8 * q^45 - 43 * q^46 - 22 * q^47 + q^48 - 2 * q^49 + 22 * q^50 + 4 * q^51 + 20 * q^52 - 20 * q^53 - 2 * q^54 + 2 * q^55 + 18 * q^56 - 10 * q^57 - 17 * q^58 + 18 * q^59 - 20 * q^60 - 2 * q^61 + 20 * q^62 + 2 * q^63 + 18 * q^64 - 56 * q^65 + 3 * q^66 - 56 * q^67 - 2 * q^68 - 10 * q^69 + 14 * q^71 + 7 * q^72 + 2 * q^73 - 12 * q^74 - 14 * q^75 - 8 * q^76 + 2 * q^77 + 40 * q^78 + 20 * q^79 + 38 * q^80 - 2 * q^81 + 2 * q^82 - 8 * q^83 + 6 * q^84 + 60 * q^85 + 55 * q^86 - 38 * q^88 - 32 * q^89 - 10 * q^90 - 2 * q^91 - 9 * q^92 - 24 * q^93 + 48 * q^94 - 28 * q^95 + 4 * q^96 + 4 * q^97 + 2 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/231\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$1$	$1$	$e\left(\frac{2}{5}\right)$

Coefficient data

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

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

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

$2$	0.449894	+	1.38463i	0.318123	+	0.979082i	0.974450	+	0.224605i	$0.0721092\pi$
$2$	0.449894	+	1.38463i	0.318123	+	0.979082i	−0.656327	+	0.754477i	$0.727891\pi$
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$4$	−0.0967635	+	0.0703028i	−0.0483818	+	0.0351514i
$5$	0.737640	−	2.27022i	0.329883	−	1.01527i	−0.639305	−	0.768953i	$-0.720778\pi$
$5$	0.737640	−	2.27022i	0.329883	−	1.01527i	0.969188	−	0.246322i	$-0.0792220\pi$
$6$	−0.449894	+	1.38463i	−0.183668	+	0.565273i
$7$	0.809017	−	0.587785i	0.305780	−	0.222162i
$7$	0.809017	−	0.587785i	0.305780	−	0.222162i
$8$	2.21480	+	1.60914i	0.783049	+	0.568919i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	3.47528			1.09898
$11$	−3.30902	+	0.224514i	−0.997706	+	0.0676935i
$11$	−3.30902	+	0.224514i	−0.997706	+	0.0676935i
$12$	−0.119606			−0.0345274
$13$	−0.281754	−	0.867148i	−0.0781444	−	0.240504i	0.904351	−	0.426789i	$-0.140355\pi$
$13$	−0.281754	−	0.867148i	−0.0781444	−	0.240504i	−0.982496	+	0.186285i	$0.940355\pi$
$14$	1.17784	+	0.855749i	0.314790	+	0.228708i
$15$	1.93117	−	1.40308i	0.498625	−	0.362272i
$16$	−1.30557	+	4.01813i	−0.326392	+	1.00453i
$17$	−0.675706	+	2.07961i	−0.163883	+	0.504379i	−0.998952	−	0.0457654i	$-0.985427\pi$
$17$	−0.675706	+	2.07961i	−0.163883	+	0.504379i	0.835070	+	0.550144i	$0.185427\pi$
$18$	−1.17784	+	0.855749i	−0.277619	+	0.201702i
$19$	−0.575493	−	0.418120i	−0.132027	−	0.0959234i	0.519812	−	0.854281i	$-0.326002\pi$
$19$	−0.575493	−	0.418120i	−0.132027	−	0.0959234i	−0.651839	+	0.758358i	$0.726002\pi$
$20$	0.0882264	+	0.271533i	0.0197280	+	0.0607166i
$21$	1.00000			0.218218
$22$	−1.79958	−	4.48076i	−0.383671	−	0.955301i
$23$	−7.80466			−1.62738			−0.813692	−	0.581296i	$-0.802546\pi$
$23$	−7.80466			−1.62738			−0.813692	+	0.581296i	$0.802546\pi$
$24$	0.845977	+	2.60365i	0.172684	+	0.531468i
$25$	−0.564716	−	0.410290i	−0.112943	−	0.0820581i
$26$	1.07392	−	0.780249i	0.210613	−	0.153019i
$27$	−0.309017	+	0.951057i	−0.0594703	+	0.183031i
$28$	−0.0369604	+	0.113752i	−0.00698486	+	0.0214972i
$29$	−7.17390	+	5.21214i	−1.33216	+	0.967870i	−0.332465	+	0.943115i	$0.607880\pi$
$29$	−7.17390	+	5.21214i	−1.33216	+	0.967870i	−0.999694	+	0.0247547i	$0.992120\pi$
$30$	2.81156	+	2.04272i	0.513318	+	0.372948i
$31$	−2.04763	−	6.30195i	−0.367765	−	1.13186i	−0.948231	−	0.317580i	$-0.897130\pi$
$31$	−2.04763	−	6.30195i	−0.367765	−	1.13186i	0.580466	−	0.814284i	$-0.302870\pi$
$32$	−0.675706			−0.119449
$33$	−2.80902	−	1.76336i	−0.488987	−	0.306961i
$34$	−3.18348			−0.545963
$35$	−0.737640	−	2.27022i	−0.124684	−	0.383738i
$36$	−0.0967635	−	0.0703028i	−0.0161273	−	0.0117171i
$37$	3.40233	−	2.47194i	0.559340	−	0.406384i	−0.271877	−	0.962332i	$-0.587645\pi$
$37$	3.40233	−	2.47194i	0.559340	−	0.406384i	0.831217	+	0.555948i	$0.187645\pi$
$38$	0.320031	−	0.984955i	0.0519159	−	0.159781i
$39$	0.281754	−	0.867148i	0.0451167	−	0.138855i
$40$	5.28684	−	3.84112i	0.835923	−	0.607334i
$41$	9.67390	+	7.02850i	1.51081	+	1.09767i	0.965817	+	0.259225i	$0.0834673\pi$
$41$	9.67390	+	7.02850i	1.51081	+	1.09767i	0.544992	+	0.838441i	$0.316533\pi$
$42$	0.449894	+	1.38463i	0.0694201	+	0.213653i
$43$	7.51601			1.14618			0.573091	−	0.819492i	$-0.305744\pi$
$43$	7.51601			1.14618			0.573091	+	0.819492i	$0.305744\pi$
$44$	0.304408	−	0.254358i	0.0458913	−	0.0383459i
$45$	2.38705			0.355841
$46$	−3.51127	−	10.8066i	−0.517708	−	1.59334i
$47$	−5.07392	−	3.68642i	−0.740107	−	0.537720i	0.152637	−	0.988282i	$-0.451223\pi$
$47$	−5.07392	−	3.68642i	−0.740107	−	0.537720i	−0.892745	+	0.450563i	$0.851223\pi$
$48$	−3.41802	+	2.48334i	−0.493349	+	0.358439i
$49$	0.309017	−	0.951057i	0.0441453	−	0.135865i
$50$	0.314038	−	0.966510i	0.0444117	−	0.136685i
$51$	−1.76902	+	1.28527i	−0.247712	+	0.179974i
$52$	0.0882264	+	0.0641003i	0.0122348	+	0.00888911i
$53$	−2.02884	−	6.24411i	−0.278682	−	0.857695i	−0.988222	−	0.153030i	$-0.951097\pi$
$53$	−2.02884	−	6.24411i	−0.278682	−	0.857695i	0.709540	−	0.704666i	$-0.248903\pi$
$54$	−1.45589			−0.198121
$55$	−1.93117	+	7.67782i	−0.260399	+	1.03528i
$56$	2.73764			0.365833
$57$	−0.219819	−	0.676533i	−0.0291157	−	0.0896089i
$58$	−10.4444	−	7.58829i	−1.37141	−	0.996391i
$59$	7.78527	−	5.65633i	1.01356	−	0.736391i	0.0486038	−	0.998818i	$-0.484523\pi$
$59$	7.78527	−	5.65633i	1.01356	−	0.736391i	0.964952	+	0.262427i	$0.0845228\pi$
$60$	−0.0882264	+	0.271533i	−0.0113900	+	0.0350548i
$61$	−0.0193938	+	0.0596881i	−0.00248313	+	0.00764227i	−0.952290	−	0.305193i	$-0.901279\pi$
$61$	−0.0193938	+	0.0596881i	−0.00248313	+	0.00764227i	0.949807	+	0.312836i	$0.101279\pi$
$62$	7.80466	−	5.67042i	0.991193	−	0.720144i
$63$	0.809017	+	0.587785i	0.101927	+	0.0740540i
$64$	2.30714	+	7.10065i	0.288393	+	0.887581i
$65$	−2.17645			−0.269956
$66$	1.17784	−	4.68277i	0.144982	−	0.576410i
$67$	−11.3294			−1.38410			−0.692052	−	0.721847i	$-0.743293\pi$
$67$	−11.3294			−1.38410			−0.692052	+	0.721847i	$0.743293\pi$
$68$	−0.0808187	−	0.248734i	−0.00980070	−	0.0301635i
$69$	−6.31411	−	4.58747i	−0.760129	−	0.552266i
$70$	2.81156	−	2.04272i	0.336046	−	0.244152i
$71$	−1.84466	+	5.67728i	−0.218921	+	0.673769i	0.779931	+	0.625865i	$0.215254\pi$
$71$	−1.84466	+	5.67728i	−0.218921	+	0.673769i	−0.998852	+	0.0479037i	$0.984746\pi$
$72$	−0.845977	+	2.60365i	−0.0996994	+	0.306843i
$73$	3.54920	−	2.57865i	0.415403	−	0.301808i	−0.360383	−	0.932805i	$-0.617354\pi$
$73$	3.54920	−	2.57865i	0.415403	−	0.301808i	0.775785	+	0.630997i	$0.217354\pi$
$74$	4.95341	+	3.59886i	0.575822	+	0.418359i
$75$	−0.215702	−	0.663864i	−0.0249072	−	0.0766564i
$76$	0.0850818			0.00975955
$77$	−2.54508	+	2.12663i	−0.290039	+	0.242352i
$78$	1.32744			0.150303
$79$	−1.50097	−	4.61952i	−0.168873	−	0.519736i	0.830428	−	0.557126i	$-0.188096\pi$
$79$	−1.50097	−	4.61952i	−0.168873	−	0.519736i	−0.999301	+	0.0373894i	$0.988096\pi$
$80$	8.15900	+	5.92786i	0.912204	+	0.662755i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−5.37965	+	16.5568i	−0.594083	+	1.82840i
$83$	3.10530	−	9.55713i	0.340851	−	1.04903i	−0.622917	−	0.782288i	$-0.714052\pi$
$83$	3.10530	−	9.55713i	0.340851	−	1.04903i	0.963768	−	0.266743i	$-0.0859476\pi$
$84$	−0.0967635	+	0.0703028i	−0.0105578	+	0.00767067i
$85$	4.22275	+	3.06801i	0.458021	+	0.332772i
$86$	3.38141	+	10.4069i	0.364626	+	1.12220i
$87$	−8.86742			−0.950688
$88$	−7.69008	−	4.82743i	−0.819765	−	0.514606i
$89$	−0.261535			−0.0277226			−0.0138613	−	0.999904i	$-0.504412\pi$
$89$	−0.261535			−0.0277226			−0.0138613	+	0.999904i	$0.504412\pi$
$90$	1.07392	+	3.30519i	0.113201	+	0.348397i
$91$	−0.737640	−	0.535927i	−0.0773257	−	0.0561804i
$92$	0.755207	−	0.548690i	0.0787358	−	0.0572049i
$93$	2.04763	−	6.30195i	0.212329	−	0.653482i
$94$	2.82160	−	8.68400i	0.291026	−	0.895687i
$95$	−1.37373	+	0.998076i	−0.140942	+	0.102400i
$96$	−0.546657	−	0.397170i	−0.0557930	−	0.0405360i
$97$	3.05453	+	9.40087i	0.310140	+	0.954513i	0.977709	+	0.209965i	$0.0673351\pi$
$97$	3.05453	+	9.40087i	0.310140	+	0.954513i	−0.667569	+	0.744548i	$0.732665\pi$
$98$	1.45589			0.147067
$99$	−1.23607	−	3.07768i	−0.124230	−	0.309319i
$100$	0.0834885			0.00834885
$101$	3.07392	+	9.46056i	0.305867	+	0.941360i	0.979352	+	0.202160i	$0.0647962\pi$
$101$	3.07392	+	9.46056i	0.305867	+	0.941360i	−0.673486	+	0.739200i	$0.735204\pi$
$102$	−2.57549	−	1.87121i	−0.255012	−	0.185277i
$103$	0.532952	−	0.387212i	0.0525133	−	0.0381532i	−0.561219	−	0.827667i	$-0.689667\pi$
$103$	0.532952	−	0.387212i	0.0525133	−	0.0381532i	0.613732	+	0.789514i	$0.289667\pi$
$104$	0.771340	−	2.37394i	0.0756361	−	0.232784i
$105$	0.737640	−	2.27022i	0.0719863	−	0.221551i
$106$	7.73303	−	5.61838i	0.751098	−	0.545705i
$107$	−0.229023	−	0.166395i	−0.0221405	−	0.0160860i	0.576660	−	0.816984i	$-0.304356\pi$
$107$	−0.229023	−	0.166395i	−0.0221405	−	0.0160860i	−0.598800	+	0.800898i	$0.704356\pi$
$108$	−0.0369604	−	0.113752i	−0.00355651	−	0.0109458i
$109$	−8.97962			−0.860092			−0.430046	−	0.902807i	$-0.641503\pi$
$109$	−8.97962			−0.860092			−0.430046	+	0.902807i	$0.641503\pi$
$110$	−11.4998	+	0.780249i	−1.09646	+	0.0743938i
$111$	4.20551			0.399170
$112$	1.30557	+	4.01813i	0.123365	+	0.379677i
$113$	−1.07549	−	0.781391i	−0.101174	−	0.0735071i	0.536048	−	0.844187i	$-0.319917\pi$
$113$	−1.07549	−	0.781391i	−0.101174	−	0.0735071i	−0.637222	+	0.770680i	$0.719917\pi$
$114$	0.837853	−	0.608736i	0.0784721	−	0.0570133i
$115$	−5.75703	+	17.7183i	−0.536846	+	1.65224i
$116$	0.327743	−	1.00869i	0.0304302	−	0.0936545i
$117$	0.737640	−	0.535927i	0.0681949	−	0.0495465i
$118$	11.3345	+	8.23498i	1.04342	+	0.758091i
$119$	0.675706	+	2.07961i	0.0619418	+	0.190637i
$120$	6.53490			0.596552
$121$	10.8992	−	1.48584i	0.990835	−	0.135076i
$122$	−0.0913711			−0.00827235
$123$	3.69510	+	11.3723i	0.333176	+	1.02541i
$124$	0.641181	+	0.465845i	0.0575798	+	0.0418341i
$125$	8.30783	−	6.03599i	0.743075	−	0.539875i
$126$	−0.449894	+	1.38463i	−0.0400797	+	0.123353i
$127$	−6.74805	+	20.7684i	−0.598793	+	1.84290i	−0.0639336	+	0.997954i	$0.520365\pi$
$127$	−6.74805	+	20.7684i	−0.598793	+	1.84290i	−0.534859	+	0.844941i	$0.679635\pi$
$128$	−9.88712	+	7.18341i	−0.873906	+	0.634930i
$129$	6.08058	+	4.41780i	0.535365	+	0.388966i
$130$	−0.979173	−	3.01358i	−0.0858791	−	0.264309i
$131$	−9.22227			−0.805754			−0.402877	−	0.915254i	$-0.631990\pi$
$131$	−9.22227			−0.805754			−0.402877	+	0.915254i	$0.631990\pi$
$132$	0.395779	−	0.0268533i	0.0344482	−	0.00233728i
$133$	−0.711349			−0.0616817
$134$	−5.09702	−	15.6870i	−0.440315	−	1.35515i
$135$	1.93117	+	1.40308i	0.166208	+	0.120757i
$136$	−4.84294	+	3.51860i	−0.415279	+	0.301718i
$137$	−0.632711	+	1.94728i	−0.0540561	+	0.166368i	−0.974440	−	0.224649i	$-0.927876\pi$
$137$	−0.632711	+	1.94728i	−0.0540561	+	0.166368i	0.920384	+	0.391017i	$0.127876\pi$
$138$	3.51127	−	10.8066i	0.298899	−	0.919917i
$139$	10.3921	−	7.55033i	0.881450	−	0.640411i	−0.0521847	−	0.998637i	$-0.516618\pi$
$139$	10.3921	−	7.55033i	0.881450	−	0.640411i	0.933635	+	0.358227i	$0.116618\pi$
$140$	0.230980	+	0.167817i	0.0195214	+	0.0141831i
$141$	−1.93807	−	5.96475i	−0.163215	−	0.502323i
$142$	−8.69084			−0.729319
$143$	1.12701	+	2.80615i	0.0942457	+	0.234662i
$144$	−4.22491			−0.352076
$145$	6.54097	+	20.1310i	0.543198	+	1.67179i
$146$	5.16724	+	3.75422i	0.427643	+	0.310701i
$147$	0.809017	−	0.587785i	0.0667266	−	0.0484797i
$148$	−0.155437	+	0.478387i	−0.0127769	+	0.0393232i
$149$	4.74190	−	14.5941i	0.388472	−	1.19559i	−0.545458	−	0.838138i	$-0.683644\pi$
$149$	4.74190	−	14.5941i	0.388472	−	1.19559i	0.933930	−	0.357456i	$-0.116356\pi$
$150$	0.822163	−	0.597336i	0.0671293	−	0.0487723i
$151$	5.58979	+	4.06122i	0.454890	+	0.330497i	0.791524	−	0.611139i	$-0.209288\pi$
$151$	5.58979	+	4.06122i	0.454890	+	0.330497i	−0.336633	+	0.941636i	$0.609288\pi$
$152$	−0.601785	−	1.85210i	−0.0488112	−	0.150225i
$153$	−2.18663			−0.176778
$154$	−4.08961	−	2.56725i	−0.329550	−	0.206875i
$155$	−15.8173			−1.27047
$156$	0.0336995	+	0.103716i	0.00269812	+	0.00830396i
$157$	7.55429	+	5.48851i	0.602898	+	0.438031i	0.846906	−	0.531742i	$-0.178462\pi$
$157$	7.55429	+	5.48851i	0.602898	+	0.438031i	−0.244008	+	0.969773i	$0.578462\pi$
$158$	5.72105	−	4.15658i	0.455142	−	0.330680i
$159$	2.02884	−	6.24411i	0.160897	−	0.495190i
$160$	−0.498428	+	1.53400i	−0.0394042	+	0.121274i
$161$	−6.31411	+	4.58747i	−0.497621	+	0.361543i
$162$	−1.17784	−	0.855749i	−0.0925396	−	0.0672340i
$163$	3.22333	+	9.92040i	0.252471	+	0.777026i	0.994317	+	0.106456i	$0.0339504\pi$
$163$	3.22333	+	9.92040i	0.252471	+	0.777026i	−0.741846	+	0.670570i	$0.766050\pi$
$164$	−1.43020			−0.111680
$165$	−6.07526	+	5.07637i	−0.472958	+	0.395195i
$166$	14.6302			1.13552
$167$	0.417609	+	1.28527i	0.0323156	+	0.0994571i	0.965913	−	0.258866i	$-0.0833487\pi$
$167$	0.417609	+	1.28527i	0.0323156	+	0.0994571i	−0.933598	+	0.358323i	$0.883349\pi$
$168$	2.21480	+	1.60914i	0.170875	+	0.124148i
$169$	9.84466	−	7.15256i	0.757282	−	0.550197i
$170$	−2.34827	+	7.22722i	−0.180104	+	0.554303i
$171$	0.219819	−	0.676533i	0.0168100	−	0.0517357i
$172$	−0.727276	+	0.528397i	−0.0554543	+	0.0402899i
$173$	−15.7641	−	11.4533i	−1.19852	−	0.870776i	−0.204381	−	0.978891i	$-0.565518\pi$
$173$	−15.7641	−	11.4533i	−1.19852	−	0.870776i	−0.994138	+	0.108116i	$0.965518\pi$
$174$	−3.98940	−	12.2781i	−0.302435	−	0.930801i
$175$	−0.698028			−0.0527659
$176$	3.41802	−	13.5892i	0.257643	−	1.02432i
$177$	9.62312			0.723318
$178$	−0.117663	−	0.362129i	−0.00881920	−	0.0271427i
$179$	10.3992	+	7.55545i	0.777272	+	0.564721i	0.904159	−	0.427196i	$-0.140499\pi$
$179$	10.3992	+	7.55545i	0.777272	+	0.564721i	−0.126887	+	0.991917i	$0.540499\pi$
$180$	−0.230980	+	0.167817i	−0.0172162	+	0.0125083i
$181$	4.44209	−	13.6714i	0.330178	−	1.01618i	−0.638871	−	0.769314i	$-0.720598\pi$
$181$	4.44209	−	13.6714i	0.330178	−	1.01618i	0.969049	−	0.246869i	$-0.0794019\pi$
$182$	0.410201	−	1.26247i	0.0304061	−	0.0935805i
$183$	−0.0507737	+	0.0368893i	−0.00375330	+	0.00272693i
$184$	−17.2857	−	12.5588i	−1.27432	−	0.925849i
$185$	−3.10216	−	9.54745i	−0.228075	−	0.701943i
$186$	9.64709			0.707359
$187$	1.76902	−	7.03316i	0.129364	−	0.514316i
$188$	0.750136			0.0547093
$189$	0.309017	+	0.951057i	0.0224777	+	0.0691792i
$190$	−2.00000	−	1.45309i	−0.145095	−	0.105418i
$191$	19.3776	−	14.0786i	1.40211	−	1.01870i	0.407703	−	0.913115i	$-0.366330\pi$
$191$	19.3776	−	14.0786i	1.40211	−	1.01870i	0.994411	−	0.105581i	$-0.0336702\pi$
$192$	−2.30714	+	7.10065i	−0.166504	+	0.512445i
$193$	0.0431415	−	0.132776i	0.00310539	−	0.00955741i	−0.949492	−	0.313792i	$-0.898401\pi$
$193$	0.0431415	−	0.132776i	0.00310539	−	0.00955741i	0.952597	+	0.304234i	$0.0984006\pi$
$194$	−11.6425	+	8.45878i	−0.835884	+	0.607305i
$195$	−1.76079	−	1.27929i	−0.126093	−	0.0916116i
$196$	0.0369604	+	0.113752i	0.00264003	+	0.00812517i
$197$	14.6113			1.04101			0.520505	−	0.853859i	$-0.325744\pi$
$197$	14.6113			1.04101			0.520505	+	0.853859i	$0.325744\pi$
$198$	3.70536	−	3.09613i	0.263328	−	0.220032i
$199$	−26.4702			−1.87642			−0.938210	−	0.346066i	$-0.887517\pi$
$199$	−26.4702			−1.87642			−0.938210	+	0.346066i	$0.887517\pi$
$200$	−0.590516	−	1.81742i	−0.0417558	−	0.128511i
$201$	−9.16566	−	6.65924i	−0.646496	−	0.469707i
$202$	−11.7164	+	8.51249i	−0.824366	+	0.598937i
$203$	−2.74018	+	8.43342i	−0.192323	+	0.591910i
$204$	0.0808187	−	0.248734i	0.00565844	−	0.0174149i
$205$	23.0921	−	16.7774i	1.61282	−	1.17178i
$206$	0.775918	+	0.563737i	0.0540608	+	0.0392775i
$207$	−2.41177	−	7.42268i	−0.167630	−	0.515912i
$208$	3.85216			0.267099
$209$	1.99819	+	1.25436i	0.138218	+	0.0867659i
$210$	3.47528			0.239817
$211$	5.42690	+	16.7023i	0.373603	+	1.14983i	0.944416	+	0.328753i	$0.106628\pi$
$211$	5.42690	+	16.7023i	0.373603	+	1.14983i	−0.570812	+	0.821080i	$0.693372\pi$
$212$	0.635296	+	0.461570i	0.0436323	+	0.0317007i
$213$	−4.82938	+	3.50875i	−0.330904	+	0.240416i
$214$	0.127360	−	0.391973i	0.00870613	−	0.0267947i
$215$	5.54411	−	17.0630i	0.378105	−	1.16369i
$216$	−2.21480	+	1.60914i	−0.150698	+	0.109488i
$217$	−5.36076	−	3.89482i	−0.363912	−	0.264398i
$218$	−4.03988	−	12.4335i	−0.273615	−	0.842100i
$219$	4.38705			0.296450
$220$	−0.352906	−	0.878699i	−0.0237929	−	0.0592419i
$221$	1.99371			0.134111
$222$	1.89203	+	5.82308i	0.126985	+	0.390820i
$223$	−18.2707	−	13.2745i	−1.22350	−	0.888924i	−0.227113	−	0.973868i	$-0.572929\pi$
$223$	−18.2707	−	13.2745i	−1.22350	−	0.888924i	−0.996386	+	0.0849449i	$0.972929\pi$
$224$	−0.546657	+	0.397170i	−0.0365251	+	0.0265370i
$225$	0.215702	−	0.663864i	0.0143802	−	0.0442576i
$226$	0.598081	−	1.84070i	0.0397838	−	0.122442i
$227$	−17.7752	+	12.9145i	−1.17978	+	0.857163i	−0.992147	−	0.125076i	$-0.960083\pi$
$227$	−17.7752	+	12.9145i	−1.17978	+	0.857163i	−0.187636	+	0.982239i	$0.560083\pi$
$228$	0.0688326	+	0.0500098i	0.00455855	+	0.00331198i
$229$	7.22491	+	22.2360i	0.477435	+	1.46939i	0.842645	+	0.538469i	$0.180997\pi$
$229$	7.22491	+	22.2360i	0.477435	+	1.46939i	−0.365210	+	0.930925i	$0.619003\pi$
$230$	−27.1234			−1.78846
$231$	−3.30902	+	0.224514i	−0.217717	+	0.0147719i
$232$	−24.2758			−1.59379
$233$	−0.322351	−	0.992094i	−0.0211179	−	0.0649942i	0.939942	−	0.341334i	$-0.110879\pi$
$233$	−0.322351	−	0.992094i	−0.0211179	−	0.0649942i	−0.961060	+	0.276339i	$0.910879\pi$
$234$	1.07392	+	0.780249i	0.0702044	+	0.0510065i
$235$	−12.1117	+	8.79968i	−0.790082	+	0.574028i
$236$	−0.355674	+	1.09465i	−0.0231524	+	0.0712558i
$237$	1.50097	−	4.61952i	0.0974986	−	0.300070i
$238$	−2.57549	+	1.87121i	−0.166944	+	0.121292i
$239$	10.0431	+	7.29676i	0.649636	+	0.471988i	0.863147	−	0.504952i	$-0.168490\pi$
$239$	10.0431	+	7.29676i	0.649636	+	0.471988i	−0.213511	+	0.976941i	$0.568490\pi$
$240$	3.11646	+	9.59148i	0.201167	+	0.619128i
$241$	9.42435			0.607076			0.303538	−	0.952819i	$-0.401832\pi$
$241$	9.42435			0.607076			0.303538	+	0.952819i	$0.401832\pi$
$242$	6.96082	+	14.4229i	0.447458	+	0.927138i
$243$	−1.00000			−0.0641500
$244$	−0.00231962	−	0.00713907i	−0.000148499	−	0.000457032i
$245$	−1.93117	−	1.40308i	−0.123378	−	0.0896392i
$246$	−14.0841	+	10.2327i	−0.897969	+	0.652413i
$247$	−0.200425	+	0.616845i	−0.0127527	+	0.0392489i
$248$	5.60567	−	17.2525i	0.355961	−	1.09553i
$249$	8.12978	−	5.90663i	0.515204	−	0.374318i
$250$	12.0953	+	8.78772i	0.764971	+	0.555784i
$251$	−0.949360	−	2.92183i	−0.0599231	−	0.184424i	0.916614	−	0.399773i	$-0.130911\pi$
$251$	−0.949360	−	2.92183i	−0.0599231	−	0.184424i	−0.976537	+	0.215349i	$0.930911\pi$
$252$	−0.119606			−0.00753449
$253$	25.8258	−	1.75226i	1.62365	−	0.110163i
$254$	−31.7924			−1.99483
$255$	1.61295	+	4.96414i	0.101007	+	0.310866i
$256$	−2.31418	−	1.68135i	−0.144637	−	0.105085i
$257$	−0.506660	+	0.368110i	−0.0316046	+	0.0229621i	−0.603475	−	0.797382i	$-0.706218\pi$
$257$	−0.506660	+	0.368110i	−0.0316046	+	0.0229621i	0.571871	+	0.820344i	$0.306218\pi$
$258$	−3.38141	+	10.4069i	−0.210517	+	0.647905i
$259$	1.29958	−	3.99968i	0.0807517	−	0.248528i
$260$	0.210601	−	0.153011i	0.0130609	−	0.00948933i
$261$	−7.17390	−	5.21214i	−0.444053	−	0.322623i
$262$	−4.14904	−	12.7694i	−0.256329	−	0.788899i
$263$	1.02517			0.0632149			0.0316074	−	0.999500i	$-0.489937\pi$
$263$	1.02517			0.0632149			0.0316074	+	0.999500i	$0.489937\pi$
$264$	−3.38391	−	8.42559i	−0.208265	−	0.518559i
$265$	−15.6721			−0.962729
$266$	−0.320031	−	0.984955i	−0.0196224	−	0.0603915i
$267$	−0.211586	−	0.153726i	−0.0129489	−	0.00940789i
$268$	1.09627	−	0.796488i	0.0669654	−	0.0486532i
$269$	9.89057	−	30.4400i	0.603039	−	1.85596i	0.0932899	−	0.995639i	$-0.470262\pi$
$269$	9.89057	−	30.4400i	0.603039	−	1.85596i	0.509749	−	0.860323i	$-0.329738\pi$
$270$	−1.07392	+	3.30519i	−0.0653567	+	0.201147i
$271$	−4.81798	+	3.50047i	−0.292672	+	0.212638i	−0.724426	−	0.689353i	$-0.757895\pi$
$271$	−4.81798	+	3.50047i	−0.292672	+	0.212638i	0.431754	+	0.901991i	$0.357895\pi$
$272$	−7.47395	−	5.43014i	−0.453175	−	0.329251i
$273$	−0.281754	−	0.867148i	−0.0170525	−	0.0524822i
$274$	−2.98092			−0.180084
$275$	1.96077	+	1.23087i	0.118239	+	0.0742243i
$276$	0.933487			0.0561893
$277$	−0.394833	−	1.21517i	−0.0237232	−	0.0730126i	0.938494	−	0.345296i	$-0.112221\pi$
$277$	−0.394833	−	1.21517i	−0.0237232	−	0.0730126i	−0.962217	+	0.272283i	$0.912221\pi$
$278$	15.1298	+	10.9924i	0.907424	+	0.659282i
$279$	5.36076	−	3.89482i	0.320940	−	0.233177i
$280$	2.01939	−	6.21506i	0.120682	−	0.371421i
$281$	−1.37516	+	4.23230i	−0.0820351	+	0.252478i	−0.983659	−	0.180044i	$-0.942376\pi$
$281$	−1.37516	+	4.23230i	−0.0820351	+	0.252478i	0.901624	+	0.432522i	$0.142376\pi$
$282$	7.38705	−	5.36701i	0.439893	−	0.319601i
$283$	−18.4427	−	13.3994i	−1.09630	−	0.796512i	−0.115852	−	0.993266i	$-0.536960\pi$
$283$	−18.4427	−	13.3994i	−1.09630	−	0.796512i	−0.980453	+	0.196755i	$0.936960\pi$
$284$	−0.220633	−	0.679039i	−0.0130922	−	0.0402935i
$285$	−1.69803			−0.100582
$286$	−3.37845	+	2.82297i	−0.199772	+	0.166926i
$287$	11.9576			0.705834
$288$	−0.208805	−	0.642634i	−0.0123039	−	0.0378676i
$289$	9.88510	+	7.18194i	0.581476	+	0.422467i
$290$	−24.9313	+	18.1137i	−1.46402	+	1.06367i
$291$	−3.05453	+	9.40087i	−0.179060	+	0.551089i
$292$	−0.162147	+	0.499038i	−0.00948895	+	0.0292040i
$293$	6.79036	−	4.93348i	0.396697	−	0.288217i	−0.371497	−	0.928434i	$-0.621156\pi$
$293$	6.79036	−	4.93348i	0.396697	−	0.288217i	0.768194	+	0.640217i	$0.221156\pi$
$294$	1.17784	+	0.855749i	0.0686929	+	0.0499083i
$295$	−7.09840	−	21.8466i	−0.413285	−	1.27196i
$296$	11.5132			0.669190
$297$	0.809017	−	3.21644i	0.0469439	−	0.186637i
$298$	22.3408			1.29417
$299$	2.19899	+	6.76780i	0.127171	+	0.391392i
$300$	0.0675436	+	0.0490733i	0.00389963	+	0.00283325i
$301$	6.08058	−	4.41780i	0.350479	−	0.254638i
$302$	−3.10848	+	9.56690i	−0.178873	+	0.550514i
$303$	−3.07392	+	9.46056i	−0.176592	+	0.543495i
$304$	2.43140	−	1.76652i	0.139451	−	0.101317i
$305$	0.121200	+	0.0880567i	0.00693987	+	0.00504211i
$306$	−0.983751	−	3.02767i	−0.0562373	−	0.173081i
$307$	11.0560			0.630999			0.315500	−	0.948926i	$-0.397828\pi$
$307$	11.0560			0.630999			0.315500	+	0.948926i	$0.397828\pi$
$308$	0.0967635	−	0.384707i	0.00551361	−	0.0219207i
$309$	0.658765			0.0374758
$310$	−7.11609	−	21.9011i	−0.404166	−	1.24390i
$311$	18.2768	+	13.2789i	1.03638	+	0.752976i	0.969576	−	0.244790i	$-0.0787191\pi$
$311$	18.2768	+	13.2789i	1.03638	+	0.752976i	0.0668061	+	0.997766i	$0.478719\pi$
$312$	2.01939	−	1.46718i	0.114326	−	0.0830625i
$313$	0.787589	−	2.42395i	0.0445172	−	0.137010i	−0.926328	−	0.376719i	$-0.877052\pi$
$313$	0.787589	−	2.42395i	0.0445172	−	0.137010i	0.970845	+	0.239709i	$0.0770522\pi$
$314$	−4.20093	+	12.9291i	−0.237072	+	0.729634i
$315$	1.93117	−	1.40308i	0.108809	−	0.0790543i
$316$	0.470004	+	0.341478i	0.0264398	+	0.0192096i
$317$	9.68566	+	29.8094i	0.544001	+	1.67426i	0.723354	+	0.690477i	$0.242599\pi$
$317$	9.68566	+	29.8094i	0.544001	+	1.67426i	−0.179353	+	0.983785i	$0.557401\pi$
$318$	9.55855			0.536017
$319$	22.5683	−	18.8577i	1.26358	−	1.05583i
$320$	17.8219			0.996274
$321$	−0.0874791	−	0.269233i	−0.00488261	−	0.0150271i
$322$	−9.19262	−	6.67883i	−0.512285	−	0.372197i
$323$	1.25839	−	0.914274i	0.0700187	−	0.0508716i
$324$	0.0369604	−	0.113752i	0.00205335	−	0.00631958i
$325$	−0.196672	+	0.605293i	−0.0109094	+	0.0335756i
$326$	−12.2859	+	8.92626i	−0.680455	+	0.494380i
$327$	−7.26467	−	5.27809i	−0.401737	−	0.291879i
$328$	10.1159	+	31.1334i	0.558555	+	1.71905i
$329$	−6.27171			−0.345771
$330$	−9.76212	−	6.12816i	−0.537387	−	0.337344i
$331$	−4.82789			−0.265365			−0.132682	−	0.991159i	$-0.542359\pi$
$331$	−4.82789			−0.265365			−0.132682	+	0.991159i	$0.542359\pi$
$332$	0.371414	+	1.14309i	0.0203840	+	0.0627354i
$333$	3.40233	+	2.47194i	0.186447	+	0.135461i
$334$	−1.59174	+	1.15647i	−0.0870963	+	0.0632791i
$335$	−8.35701	+	25.7202i	−0.456592	+	1.40525i
$336$	−1.30557	+	4.01813i	−0.0712246	+	0.219207i
$337$	−17.0827	+	12.4113i	−0.930551	+	0.676085i	−0.946128	−	0.323794i	$-0.895042\pi$
$337$	−17.0827	+	12.4113i	−0.930551	+	0.676085i	0.0155765	+	0.999879i	$0.495042\pi$
$338$	14.3327	+	10.4133i	0.779597	+	0.566410i
$339$	−0.410802	−	1.26432i	−0.0223117	−	0.0686683i
$340$	−0.624297			−0.0338573
$341$	8.19052	+	20.3936i	0.443541	+	1.10437i
$342$	1.03564			0.0560012
$343$	−0.309017	−	0.951057i	−0.0166853	−	0.0513522i
$344$	16.6464	+	12.0943i	0.897516	+	0.652084i
$345$	−15.0721	+	10.9505i	−0.811455	+	0.589557i
$346$	8.76639	−	26.9802i	0.471284	−	1.45046i
$347$	−3.83957	+	11.8170i	−0.206119	+	0.634369i	0.793547	+	0.608510i	$0.208232\pi$
$347$	−3.83957	+	11.8170i	−0.206119	+	0.634369i	−0.999666	+	0.0258596i	$0.991768\pi$
$348$	0.858043	−	0.623405i	0.0459959	−	0.0334180i
$349$	−13.7276	−	9.97368i	−0.734821	−	0.533879i	0.156264	−	0.987715i	$-0.450055\pi$
$349$	−13.7276	−	9.97368i	−0.734821	−	0.533879i	−0.891085	+	0.453836i	$0.850055\pi$
$350$	−0.314038	−	0.966510i	−0.0167861	−	0.0516622i
$351$	0.911774			0.0486669
$352$	2.23592	−	0.151705i	0.119175	−	0.00808592i
$353$	−4.57101			−0.243291			−0.121645	−	0.992574i	$-0.538817\pi$
$353$	−4.57101			−0.243291			−0.121645	+	0.992574i	$0.538817\pi$
$354$	4.32938	+	13.3245i	0.230104	+	0.708188i
$355$	11.5280	+	8.37558i	0.611843	+	0.444530i
$356$	0.0253070	−	0.0183866i	0.00134127	−	0.000974489i
$357$	−0.675706	+	2.07961i	−0.0357621	+	0.110065i
$358$	−5.78298	+	17.7982i	−0.305640	+	0.940663i
$359$	25.0580	−	18.2057i	1.32251	−	0.960858i	0.322611	−	0.946532i	$-0.395440\pi$
$359$	25.0580	−	18.2057i	1.32251	−	0.960858i	0.999897	−	0.0143267i	$-0.00456048\pi$
$360$	5.28684	+	3.84112i	0.278641	+	0.202445i
$361$	−5.71496	−	17.5888i	−0.300787	−	0.925728i
$362$	20.9282			1.09996
$363$	9.69098	+	5.20431i	0.508645	+	0.273155i
$364$	0.109054			0.00571598
$365$	−3.23607	−	9.95959i	−0.169384	−	0.521309i
$366$	−0.0739208	−	0.0537066i	−0.00386390	−	0.00280729i
$367$	−11.9267	+	8.66525i	−0.622568	+	0.452322i	−0.853818	−	0.520572i	$-0.825719\pi$
$367$	−11.9267	+	8.66525i	−0.622568	+	0.452322i	0.231250	+	0.972894i	$0.425719\pi$
$368$	10.1895	−	31.3601i	0.531165	−	1.63476i
$369$	−3.69510	+	11.3723i	−0.192359	+	0.592021i
$370$	11.8241	−	8.59068i	0.614703	−	0.446608i
$371$	−5.31156	−	3.85908i	−0.275763	−	0.200353i
$372$	0.244909	+	0.753754i	0.0126980	+	0.0390803i
$373$	−12.5701			−0.650853			−0.325427	−	0.945567i	$-0.605508\pi$
$373$	−12.5701			−0.650853			−0.325427	+	0.945567i	$0.605508\pi$
$374$	10.5342	−	0.714737i	0.544711	−	0.0369582i
$375$	10.2690			0.530291
$376$	−5.30573	−	16.3293i	−0.273622	−	0.842122i
$377$	6.54097	+	4.75229i	0.336877	+	0.244755i
$378$	−1.17784	+	0.855749i	−0.0605814	+	0.0440150i
$379$	4.95477	−	15.2492i	0.254509	−	0.783299i	−0.739417	−	0.673248i	$-0.764899\pi$
$379$	4.95477	−	15.2492i	0.254509	−	0.783299i	0.993926	−	0.110051i	$-0.0351014\pi$
$380$	0.0627598	−	0.193155i	0.00321951	−	0.00990862i
$381$	−17.6666	+	12.8356i	−0.905089	+	0.657586i
$382$	28.2116	+	20.4969i	1.44343	+	1.04871i
$383$	−0.868408	−	2.67268i	−0.0443736	−	0.136568i	0.926415	−	0.376503i	$-0.122874\pi$
$383$	−0.868408	−	2.67268i	−0.0443736	−	0.136568i	−0.970789	+	0.239936i	$0.922874\pi$
$384$	−12.2212			−0.623658
$385$	2.95056	+	7.34660i	0.150375	+	0.374417i
$386$	0.203254			0.0103454
$387$	2.32258	+	7.14815i	0.118063	+	0.363361i
$388$	−0.956474	−	0.694919i	−0.0485576	−	0.0352792i
$389$	16.6698	−	12.1113i	0.845191	−	0.614067i	−0.0786246	−	0.996904i	$-0.525053\pi$
$389$	16.6698	−	12.1113i	0.845191	−	0.614067i	0.923816	+	0.382837i	$0.125053\pi$
$390$	0.979173	−	3.01358i	0.0495823	−	0.152599i
$391$	5.27365	−	16.2306i	0.266700	−	0.820819i
$392$	2.21480	−	1.60914i	0.111864	−	0.0812741i
$393$	−7.46097	−	5.42072i	−0.376356	−	0.273439i
$394$	6.57352	+	20.2312i	0.331169	+	1.01923i
$395$	−11.5945			−0.583383
$396$	0.335976	+	0.210908i	0.0168834	+	0.0105986i
$397$	28.6588			1.43834			0.719171	−	0.694833i	$-0.244522\pi$
$397$	28.6588			1.43834			0.719171	+	0.694833i	$0.244522\pi$
$398$	−11.9088	−	36.6514i	−0.596932	−	1.83717i
$399$	−0.575493	−	0.418120i	−0.0288107	−	0.0209322i
$400$	2.38587	−	1.73344i	0.119294	−	0.0866719i
$401$	−6.89590	+	21.2234i	−0.344365	+	1.05985i	0.617558	+	0.786525i	$0.288122\pi$
$401$	−6.89590	+	21.2234i	−0.344365	+	1.05985i	−0.961923	+	0.273320i	$0.911878\pi$
$402$	5.09702	−	15.6870i	0.254216	−	0.782397i
$403$	−4.88780	+	3.55120i	−0.243479	+	0.176898i
$404$	−0.962547	−	0.699332i	−0.0478885	−	0.0347930i
$405$	0.737640	+	2.27022i	0.0366536	+	0.112808i
$406$	−12.9100			−0.640711
$407$	−10.7034	+	8.94356i	−0.530547	+	0.443316i
$408$	−5.98620			−0.296361
$409$	5.07901	+	15.6316i	0.251141	+	0.772932i	0.994566	+	0.104112i	$0.0332002\pi$
$409$	5.07901	+	15.6316i	0.251141	+	0.772932i	−0.743425	+	0.668820i	$0.766800\pi$
$410$	33.6195	+	24.4260i	1.66035	+	1.20631i
$411$	−1.65646	+	1.20349i	−0.0817071	+	0.0593637i
$412$	−0.0243482	+	0.0749361i	−0.00119955	+	0.00369184i
$413$	2.97371	−	9.15213i	0.146327	−	0.450347i
$414$	9.19262	−	6.67883i	0.451793	−	0.328247i
$415$	−19.4062	−	14.0995i	−0.952614	−	0.692115i
$416$	0.190382	+	0.585937i	0.00933427	+	0.0287279i
$417$	12.8454			0.629042
$418$	−0.837853	+	3.33108i	−0.0409807	+	0.162929i
$419$	−12.7725			−0.623975			−0.311988	−	0.950086i	$-0.600995\pi$
$419$	−12.7725			−0.623975			−0.311988	+	0.950086i	$0.600995\pi$
$420$	0.0882264	+	0.271533i	0.00430501	+	0.0132495i
$421$	−8.73995	−	6.34994i	−0.425959	−	0.309477i	0.354072	−	0.935218i	$-0.384797\pi$
$421$	−8.73995	−	6.34994i	−0.425959	−	0.309477i	−0.780031	+	0.625741i	$0.784797\pi$
$422$	−20.6850	+	15.0285i	−1.00693	+	0.731577i
$423$	1.93807	−	5.96475i	0.0942320	−	0.290016i
$424$	5.55422	−	17.0941i	0.269737	−	0.830165i
$425$	1.23482	−	0.897153i	0.0598978	−	0.0435183i
$426$	−7.03103	−	5.10835i	−0.340655	−	0.247500i
$427$	0.0193938	+	0.0596881i	0.000938533	+	0.00288851i
$428$	0.0338592			0.00163664
$429$	−0.737640	+	2.93267i	−0.0356136	+	0.141590i
$430$	26.1202			1.25963
$431$	8.51018	+	26.1916i	0.409921	+	1.26161i	0.916716	+	0.399540i	$0.130830\pi$
$431$	8.51018	+	26.1916i	0.409921	+	1.26161i	−0.506795	+	0.862067i	$0.669170\pi$
$432$	−3.41802	−	2.48334i	−0.164450	−	0.119480i
$433$	−12.3456	+	8.96963i	−0.593293	+	0.431053i	−0.843492	−	0.537142i	$-0.819504\pi$
$433$	−12.3456	+	8.96963i	−0.593293	+	0.431053i	0.250199	+	0.968194i	$0.419504\pi$
$434$	2.98112	−	9.17493i	0.143098	−	0.440411i
$435$	−6.54097	+	20.1310i	−0.313615	+	0.965209i
$436$	0.868900	−	0.631293i	0.0416128	−	0.0302334i
$437$	4.49153	+	3.26329i	0.214859	+	0.156104i
$438$	1.97371	+	6.07445i	0.0943074	+	0.290248i
$439$	−28.5500			−1.36262			−0.681308	−	0.731997i	$-0.738589\pi$
$439$	−28.5500			−1.36262			−0.681308	+	0.731997i	$0.738589\pi$
$440$	−16.6319	+	13.8973i	−0.792893	+	0.662527i
$441$	1.00000			0.0476190
$442$	0.896958	+	2.76055i	0.0426639	+	0.131306i
$443$	−9.16700	−	6.66021i	−0.435537	−	0.316436i	0.348322	−	0.937375i	$-0.386752\pi$
$443$	−9.16700	−	6.66021i	−0.435537	−	0.316436i	−0.783859	+	0.620939i	$0.786752\pi$
$444$	−0.406940	+	0.295659i	−0.0193125	+	0.0140314i
$445$	−0.192919	+	0.593742i	−0.00914521	+	0.0281461i
$446$	10.1603	−	31.2703i	0.481106	−	1.48069i
$447$	12.4145	−	9.01964i	0.587184	−	0.426614i
$448$	6.04017	+	4.38844i	0.285371	+	0.207334i
$449$	−8.31156	−	25.5804i	−0.392247	−	1.20721i	−0.931085	−	0.364802i	$-0.881137\pi$
$449$	−8.31156	−	25.5804i	−0.392247	−	1.20721i	0.538838	−	0.842409i	$-0.318863\pi$
$450$	1.01625			0.0479064
$451$	−33.5891	−	21.0855i	−1.58165	−	0.992877i
$452$	0.159003			0.00747885
$453$	2.13511	+	6.57119i	0.100316	+	0.308741i
$454$	−25.8787	−	18.8020i	−1.21455	−	0.882421i
$455$	−1.76079	+	1.27929i	−0.0825470	+	0.0599739i
$456$	0.601785	−	1.85210i	0.0281812	−	0.0867327i
$457$	−8.95205	+	27.5516i	−0.418759	+	1.28881i	0.490086	+	0.871674i	$0.336966\pi$
$457$	−8.95205	+	27.5516i	−0.418759	+	1.28881i	−0.908845	+	0.417134i	$0.863034\pi$
$458$	−27.5382	+	20.0077i	−1.28677	+	0.934896i
$459$	−1.76902	−	1.28527i	−0.0825708	−	0.0599912i
$460$	−0.688578	−	2.11922i	−0.0321051	−	0.0988093i
$461$	−41.9375			−1.95322			−0.976612	−	0.215008i	$-0.931022\pi$
$461$	−41.9375			−1.95322			−0.976612	+	0.215008i	$0.931022\pi$
$462$	−1.79958	−	4.48076i	−0.0837238	−	0.208464i
$463$	−1.14904			−0.0534005			−0.0267003	−	0.999643i	$-0.508500\pi$
$463$	−1.14904			−0.0534005			−0.0267003	+	0.999643i	$0.508500\pi$
$464$	−11.5770	−	35.6304i	−0.537450	−	1.65410i
$465$	−12.7964	−	9.29715i	−0.593420	−	0.431145i
$466$	1.22866	−	0.892674i	0.0569166	−	0.0413523i
$467$	9.14340	−	28.1405i	0.423106	−	1.30219i	−0.481690	−	0.876342i	$-0.659977\pi$
$467$	9.14340	−	28.1405i	0.423106	−	1.30219i	0.904796	−	0.425845i	$-0.140023\pi$
$468$	−0.0336995	+	0.103716i	−0.00155776	+	0.00479429i
$469$	−9.16566	+	6.65924i	−0.423231	+	0.307495i
$470$	−17.6333	−	12.8113i	−0.813363	−	0.590943i
$471$	2.88548	+	8.88060i	0.132956	+	0.409196i
$472$	26.3446			1.21261
$473$	−24.8706	+	1.68745i	−1.14355	+	0.0775890i
$474$	7.07160			0.324809
$475$	0.153440	+	0.472239i	0.00704029	+	0.0216678i
$476$	−0.211586	−	0.153726i	−0.00969803	−	0.00704603i
$477$	5.31156	−	3.85908i	0.243200	−	0.176695i
$478$	−5.58498	+	17.1888i	−0.255451	+	0.786197i
$479$	−3.14358	+	9.67494i	−0.143634	+	0.442059i	−0.996833	−	0.0795262i	$-0.974659\pi$
$479$	−3.14358	+	9.67494i	−0.143634	+	0.442059i	0.853199	+	0.521586i	$0.174659\pi$
$480$	−1.30490	+	0.948066i	−0.0595603	+	0.0432731i
$481$	−3.10216	−	2.25385i	−0.141446	−	0.102767i
$482$	4.23995	+	13.0492i	0.193125	+	0.594377i
$483$	−7.80466			−0.355124
$484$	−0.950185	+	0.910019i	−0.0431902	+	0.0413645i
$485$	23.5952			1.07140
$486$	−0.449894	−	1.38463i	−0.0204076	−	0.0628081i
$487$	−35.4609	−	25.7638i	−1.60689	−	1.16747i	−0.872324	−	0.488929i	$-0.837388\pi$
$487$	−35.4609	−	25.7638i	−1.60689	−	1.16747i	−0.734562	−	0.678542i	$-0.762612\pi$
$488$	−0.139000	+	0.100990i	−0.00629224	+	0.00457158i
$489$	−3.22333	+	9.92040i	−0.145764	+	0.448616i
$490$	1.07392	−	3.30519i	0.0485148	−	0.149313i
$491$	−15.4690	+	11.2389i	−0.698106	+	0.507204i	−0.879315	−	0.476241i	$-0.841999\pi$
$491$	−15.4690	+	11.2389i	−0.698106	+	0.507204i	0.181209	+	0.983445i	$0.441999\pi$
$492$	−1.15706	−	0.840653i	−0.0521643	−	0.0378995i
$493$	−5.99177	−	18.4408i	−0.269856	−	0.830530i
$494$	−0.944272			−0.0424848
$495$	−7.89880	+	0.535927i	−0.355025	+	0.0240881i
$496$	27.9954			1.25703
$497$	1.84466	+	5.67728i	0.0827443	+	0.254661i
$498$	11.8360	+	8.59939i	0.530386	+	0.385348i
$499$	−16.5825	+	12.0479i	−0.742335	+	0.539338i	−0.893441	−	0.449180i	$-0.851716\pi$
$499$	−16.5825	+	12.0479i	−0.742335	+	0.539338i	0.151107	+	0.988517i	$0.451716\pi$
$500$	−0.379548	+	1.16813i	−0.0169739	+	0.0522403i
$501$	−0.417609	+	1.28527i	−0.0186574	+	0.0574216i
$502$	3.61854	−	2.62903i	0.161504	−	0.117339i
$503$	−15.3547	−	11.1558i	−0.684632	−	0.497414i	0.190259	−	0.981734i	$-0.439067\pi$
$503$	−15.3547	−	11.1558i	−0.684632	−	0.497414i	−0.874891	+	0.484320i	$0.839067\pi$
$504$	0.845977	+	2.60365i	0.0376828	+	0.115976i
$505$	23.7450			1.05664
$506$	14.0451	+	34.9708i	0.624380	+	1.55464i
$507$	12.1687			0.540430
$508$	−0.807110	−	2.48403i	−0.0358097	−	0.110211i
$509$	−19.0562	−	13.8451i	−0.844652	−	0.613675i	0.0790145	−	0.996873i	$-0.474823\pi$
$509$	−19.0562	−	13.8451i	−0.844652	−	0.613675i	−0.923666	+	0.383198i	$0.874823\pi$
$510$	−6.14784	+	4.46667i	−0.272231	+	0.197787i
$511$	1.35567	−	4.17234i	0.0599715	−	0.184573i
$512$	−6.26617	+	19.2853i	−0.276928	+	0.852298i
$513$	0.575493	−	0.418120i	0.0254086	−	0.0184605i
$514$	−0.737640	−	0.535927i	−0.0325359	−	0.0236387i
$515$	−0.485932	−	1.49554i	−0.0214127	−	0.0659015i
$516$	−0.898962			−0.0395746
$517$	17.6173	+	11.0593i	0.774810	+	0.486386i
$518$	6.12275			0.269018
$519$	−6.02134	−	18.5318i	−0.264307	−	0.813454i
$520$	−4.82040	−	3.50223i	−0.211389	−	0.153583i
$521$	4.11827	−	2.99210i	0.180425	−	0.131086i	−0.493907	−	0.869515i	$-0.664432\pi$
$521$	4.11827	−	2.99210i	0.180425	−	0.131086i	0.674332	+	0.738428i	$0.264432\pi$
$522$	3.98940	−	12.2781i	0.174611	−	0.537398i
$523$	7.03841	−	21.6620i	0.307768	−	0.947213i	−0.670861	−	0.741583i	$-0.734075\pi$
$523$	7.03841	−	21.6620i	0.307768	−	0.947213i	0.978630	−	0.205631i	$-0.0659245\pi$
$524$	0.892380	−	0.648352i	0.0389838	−	0.0283234i
$525$	−0.564716	−	0.410290i	−0.0246462	−	0.0179065i
$526$	0.461219	+	1.41949i	0.0201101	+	0.0618925i
$527$	14.4892			0.631159
$528$	10.7527	−	8.98480i	0.467953	−	0.391013i
$529$	37.9128			1.64838
$530$	−7.05077	−	21.7001i	−0.306266	−	0.942590i
$531$	7.78527	+	5.65633i	0.337852	+	0.245464i
$532$	0.0688326	−	0.0500098i	0.00298427	−	0.00216820i
$533$	3.36909	−	10.3690i	0.145932	−	0.449131i
$534$	0.117663	−	0.362129i	0.00509177	−	0.0156709i
$535$	−0.546691	+	0.397194i	−0.0236355	+	0.0171722i
$536$	−25.0923	−	18.2306i	−1.08382	−	0.787443i
$537$	3.97214	+	12.2250i	0.171410	+	0.527547i
$538$	46.5979			2.00898
$539$	−0.809017	+	3.21644i	−0.0348468	+	0.138542i
$540$	−0.285507			−0.0122863
$541$	−3.53564	−	10.8816i	−0.152009	−	0.467836i	0.845836	−	0.533442i	$-0.179102\pi$
$541$	−3.53564	−	10.8816i	−0.152009	−	0.467836i	−0.997846	+	0.0656062i	$0.979102\pi$
$542$	−7.01444	−	5.09629i	−0.301296	−	0.218904i
$543$	11.6295	−	8.44936i	0.499072	−	0.362597i
$544$	0.456578	−	1.40520i	0.0195756	−	0.0602476i
$545$	−6.62373	+	20.3857i	−0.283729	+	0.873229i
$546$	1.07392	−	0.780249i	0.0459596	−	0.0333916i
$547$	−3.07176	−	2.23176i	−0.131339	−	0.0954234i	0.520176	−	0.854059i	$-0.325866\pi$
$547$	−3.07176	−	2.23176i	−0.131339	−	0.0954234i	−0.651515	+	0.758636i	$0.725866\pi$
$548$	−0.0756762	−	0.232907i	−0.00323273	−	0.00994931i
$549$	−0.0627598			−0.00267852
$550$	−0.822163	+	3.26871i	−0.0350571	+	0.139378i
$551$	6.30783			0.268723
$552$	−6.60257	−	20.3206i	−0.281024	−	0.864903i
$553$	−3.92960	−	2.85502i	−0.167103	−	0.121408i
$554$	1.50493	−	1.09340i	0.0639384	−	0.0464539i
$555$	3.10216	−	9.54745i	0.131679	−	0.405267i
$556$	−0.474771	+	1.46119i	−0.0201348	+	0.0619684i
$557$	2.82296	−	2.05100i	0.119613	−	0.0869037i	−0.526371	−	0.850255i	$-0.676448\pi$
$557$	2.82296	−	2.05100i	0.119613	−	0.0869037i	0.645983	+	0.763352i	$0.276448\pi$
$558$	7.80466	+	5.67042i	0.330398	+	0.240048i
$559$	−2.11766	−	6.51750i	−0.0895676	−	0.275661i
$560$	10.0851			0.426172
$561$	5.56516	−	4.65014i	0.234961	−	0.196329i
$562$	−6.47885			−0.273294
$563$	−8.70251	−	26.7836i	−0.366767	−	1.12879i	−0.948867	−	0.315676i	$-0.897769\pi$
$563$	−8.70251	−	26.7836i	−0.366767	−	1.12879i	0.582100	−	0.813117i	$-0.302231\pi$
$564$	0.606873	+	0.440919i	0.0255540	+	0.0185660i
$565$	−2.56726	+	1.86522i	−0.108005	+	0.0784706i
$566$	10.2560	−	31.5646i	0.431091	−	1.32676i
$567$	−0.309017	+	0.951057i	−0.0129775	+	0.0399406i
$568$	−13.2211	+	9.60570i	−0.554746	+	0.403046i
$569$	−17.4741	−	12.6957i	−0.732552	−	0.532230i	0.157818	−	0.987468i	$-0.449554\pi$
$569$	−17.4741	−	12.6957i	−0.732552	−	0.532230i	−0.890370	+	0.455238i	$0.849554\pi$
$570$	−0.763932	−	2.35114i	−0.0319976	−	0.0984785i
$571$	14.4959			0.606636			0.303318	−	0.952889i	$-0.401906\pi$
$571$	14.4959			0.606636			0.303318	+	0.952889i	$0.401906\pi$
$572$	−0.306334	−	0.192301i	−0.0128085	−	0.00804050i
$573$	23.9520			1.00061
$574$	5.37965	+	16.5568i	0.224542	+	0.691070i
$575$	4.40742	+	3.20218i	0.183802	+	0.133540i
$576$	−6.04017	+	4.38844i	−0.251674	+	0.182852i
$577$	1.56697	−	4.82263i	0.0652337	−	0.200769i	−0.913127	−	0.407675i	$-0.866340\pi$
$577$	1.56697	−	4.82263i	0.0652337	−	0.200769i	0.978361	+	0.206906i	$0.0663396\pi$
$578$	−5.49710	+	16.9183i	−0.228649	+	0.703709i
$579$	0.112946	−	0.0820599i	0.00469387	−	0.00341030i
$580$	−2.04820	−	1.48810i	−0.0850467	−	0.0617900i
$581$	−3.10530	−	9.55713i	−0.128830	−	0.396497i
$582$	−14.3909			−0.596524
$583$	8.11534	+	20.2064i	0.336103	+	0.836863i
$584$	12.0102			0.496985
$585$	−0.672561	−	2.06993i	−0.0278070	−	0.0855811i
$586$	9.88599	+	7.18259i	0.408387	+	0.296710i
$587$	35.1036	−	25.5043i	1.44888	−	1.05267i	0.462791	−	0.886468i	$-0.346848\pi$
$587$	35.1036	−	25.5043i	1.44888	−	1.05267i	0.986091	−	0.166207i	$-0.0531518\pi$
$588$	−0.0369604	+	0.113752i	−0.00152422	+	0.00469107i
$589$	−1.45658	+	4.48289i	−0.0600173	+	0.184714i
$590$	27.0560	−	19.6573i	1.11388	−	0.809280i
$591$	11.8208	+	8.58829i	0.486241	+	0.353275i
$592$	5.49058	+	16.8983i	0.225662	+	0.694515i
$593$	−31.4532			−1.29163			−0.645815	−	0.763494i	$-0.723482\pi$
$593$	−31.4532			−1.29163			−0.645815	+	0.763494i	$0.723482\pi$
$594$	4.81755	−	0.326867i	0.197667	−	0.0134115i
$595$	5.21960			0.213983
$596$	0.567162	+	1.74554i	0.0232318	+	0.0715003i
$597$	−21.4148	−	15.5588i	−0.876450	−	0.636778i
$598$	−8.38159	+	6.08958i	−0.342749	+	0.249022i
$599$	−6.85530	+	21.0984i	−0.280100	+	0.862059i	0.707725	+	0.706488i	$0.249722\pi$
$599$	−6.85530	+	21.0984i	−0.280100	+	0.862059i	−0.987825	+	0.155571i	$0.950278\pi$
$600$	0.590516	−	1.81742i	0.0241077	−	0.0741959i
$601$	−26.0651	+	18.9374i	−1.06322	+	0.772471i	−0.974681	−	0.223602i	$-0.928219\pi$
$601$	−26.0651	+	18.9374i	−1.06322	+	0.772471i	−0.0885351	+	0.996073i	$0.528219\pi$
$602$	8.85264	+	6.43182i	0.360807	+	0.262141i
$603$	−3.50097	−	10.7749i	−0.142571	−	0.438787i
$604$	−0.826403			−0.0336258
$605$	4.66649	−	25.8396i	0.189720	−	1.05053i
$606$	−14.4823			−0.588304
$607$	9.34878	+	28.7726i	0.379455	+	1.16784i	0.940423	+	0.340006i	$0.110429\pi$
$607$	9.34878	+	28.7726i	0.379455	+	1.16784i	−0.560968	+	0.827837i	$0.689571\pi$
$608$	0.388864	+	0.282526i	0.0157705	+	0.0114579i
$609$	−7.17390	+	5.21214i	−0.290701	+	0.211207i
$610$	−0.0673990	+	0.207433i	−0.00272891	+	0.00839871i
$611$	−1.76708	+	5.43850i	−0.0714883	+	0.220018i
$612$	0.211586	−	0.153726i	0.00855286	−	0.00621401i
$613$	3.38945	+	2.46258i	0.136899	+	0.0994627i	0.654127	−	0.756385i	$-0.273036\pi$
$613$	3.38945	+	2.46258i	0.136899	+	0.0994627i	−0.517228	+	0.855847i	$0.673036\pi$
$614$	4.97402	+	15.3085i	0.200735	+	0.617800i
$615$	28.5434			1.15098
$616$	−9.05890	+	0.614639i	−0.364993	+	0.0247645i
$617$	−31.1457			−1.25388			−0.626939	−	0.779068i	$-0.715693\pi$
$617$	−31.1457			−1.25388			−0.626939	+	0.779068i	$0.715693\pi$
$618$	0.296374	+	0.912146i	0.0119219	+	0.0366919i
$619$	38.7065	+	28.1219i	1.55575	+	1.13032i	0.939391	+	0.342849i	$0.111392\pi$
$619$	38.7065	+	28.1219i	1.55575	+	1.13032i	0.616356	+	0.787468i	$0.288608\pi$
$620$	1.53053	−	1.11200i	0.0614677	−	0.0446589i
$621$	2.41177	−	7.42268i	0.0967811	−	0.297862i
$622$	−10.1637	+	31.2807i	−0.407528	+	1.25424i
$623$	−0.211586	+	0.153726i	−0.00847701	+	0.00615891i
$624$	3.11646	+	2.26424i	0.124758	+	0.0906422i
$625$	−8.65337	−	26.6323i	−0.346135	−	1.06529i
$626$	3.71061			0.148306
$627$	0.879275	+	2.18931i	0.0351149	+	0.0874325i
$628$	−1.11684			−0.0445667
$629$	2.84169	+	8.74582i	0.113306	+	0.348719i
$630$	2.81156	+	2.04272i	0.112015	+	0.0813839i
$631$	−3.24975	+	2.36108i	−0.129371	+	0.0939932i	−0.650589	−	0.759430i	$-0.725478\pi$
$631$	−3.24975	+	2.36108i	−0.129371	+	0.0939932i	0.521218	+	0.853423i	$0.325478\pi$
$632$	4.10912	−	12.6466i	0.163452	−	0.503054i
$633$	−5.42690	+	16.7023i	−0.215700	+	0.663857i
$634$	−36.9175	+	26.8221i	−1.46618	+	1.06524i
$635$	42.1712	+	30.6392i	1.67351	+	1.21588i
$636$	0.242662	+	0.746836i	0.00962216	+	0.0296140i
$637$	−0.911774			−0.0361258
$638$	36.2643	+	22.7649i	1.43572	+	0.901269i
$639$	−5.96945			−0.236148
$640$	9.01482	+	27.7447i	0.356342	+	1.09671i
$641$	−22.3978	−	16.2730i	−0.884661	−	0.642744i	0.0498197	−	0.998758i	$-0.484135\pi$
$641$	−22.3978	−	16.2730i	−0.884661	−	0.642744i	−0.934480	+	0.356015i	$0.884135\pi$
$642$	0.333432	−	0.242253i	0.0131595	−	0.00956095i
$643$	−1.31577	+	4.04952i	−0.0518888	+	0.159697i	−0.973643	−	0.228077i	$-0.926756\pi$
$643$	−1.31577	+	4.04952i	−0.0518888	+	0.159697i	0.921754	+	0.387775i	$0.126756\pi$
$644$	0.288463	−	0.887799i	0.0113670	−	0.0349842i
$645$	14.5147	−	10.5455i	0.571515	−	0.415230i
$646$	1.83207	+	1.33108i	0.0720820	+	0.0523706i
$647$	1.62080	+	4.98832i	0.0637203	+	0.196111i	0.977848	−	0.209315i	$-0.0671233\pi$
$647$	1.62080	+	4.98832i	0.0637203	+	0.196111i	−0.914128	+	0.405426i	$0.867123\pi$
$648$	−2.73764			−0.107545
$649$	−24.4917	+	20.4648i	−0.961382	+	0.803313i
$650$	−0.926589			−0.0363438
$651$	−2.04763	−	6.30195i	−0.0802529	−	0.246993i
$652$	−1.00933	−	0.733324i	−0.0395286	−	0.0287192i
$653$	7.95843	−	5.78214i	0.311437	−	0.226273i	−0.421076	−	0.907026i	$-0.638347\pi$
$653$	7.95843	−	5.78214i	0.311437	−	0.226273i	0.732513	+	0.680753i	$0.238347\pi$
$654$	4.03988	−	12.4335i	0.157972	−	0.486187i
$655$	−6.80272	+	20.9366i	−0.265804	+	0.818061i
$656$	−40.8713	+	29.6947i	−1.59576	+	1.15939i
$657$	3.54920	+	2.57865i	0.138468	+	0.100603i
$658$	−2.82160	−	8.68400i	−0.109998	−	0.338538i
$659$	50.5575			1.96944			0.984720	−	0.174145i	$-0.0557162\pi$
$659$	50.5575			1.96944			0.984720	+	0.174145i	$0.0557162\pi$
$660$	0.230980	−	0.918316i	0.00899088	−	0.0357454i
$661$	22.9751			0.893629			0.446814	−	0.894627i	$-0.352558\pi$
$661$	22.9751			0.893629			0.446814	+	0.894627i	$0.352558\pi$
$662$	−2.17204	−	6.68485i	−0.0844187	−	0.259814i
$663$	1.61295	+	1.17187i	0.0626416	+	0.0455118i
$664$	22.2564	−	16.1702i	0.863717	−	0.627527i
$665$	−0.524719	+	1.61492i	−0.0203477	+	0.0626239i
$666$	−1.89203	+	5.82308i	−0.0733148	+	0.225640i
$667$	55.9898	−	40.6790i	2.16794	−	1.57510i
$668$	−0.130767	−	0.0950080i	−0.00505954	−	0.00367597i
$669$	−6.97880	−	21.4785i	−0.269816	−	0.830408i
$670$	−39.3728			−1.52110
$671$	0.0507737	−	0.201863i	0.00196010	−	0.00779284i
$672$	−0.675706			−0.0260659
$673$	−6.75838	−	20.8001i	−0.260516	−	0.801787i	−0.992693	−	0.120671i	$-0.961495\pi$
$673$	−6.75838	−	20.8001i	−0.260516	−	0.801787i	0.732176	−	0.681115i	$-0.238505\pi$
$674$	−24.8704	−	18.0694i	−0.957972	−	0.696008i
$675$	0.564716	−	0.410290i	0.0217359	−	0.0157921i
$676$	−0.449759	+	1.38421i	−0.0172984	+	0.0532390i
$677$	−4.53378	+	13.9535i	−0.174247	+	0.536278i	−0.999598	−	0.0283421i	$-0.990977\pi$
$677$	−4.53378	+	13.9535i	−0.174247	+	0.536278i	0.825351	+	0.564620i	$0.190977\pi$
$678$	1.56580	−	1.13762i	0.0601340	−	0.0436899i
$679$	7.99686	+	5.81006i	0.306891	+	0.222969i
$680$	4.41567	+	13.5900i	0.169333	+	0.521154i
$681$	−21.9714			−0.841945
$682$	−24.5527	+	20.5158i	−0.940171	+	0.785589i
$683$	−9.70579			−0.371382			−0.185691	−	0.982608i	$-0.559452\pi$
$683$	−9.70579			−0.371382			−0.185691	+	0.982608i	$0.559452\pi$
$684$	0.0262917	+	0.0809176i	0.00100529	+	0.00309396i
$685$	3.95406	+	2.87279i	0.151077	+	0.109764i
$686$	1.17784	−	0.855749i	0.0449700	−	0.0326726i
$687$	−7.22491	+	22.2360i	−0.275647	+	0.848355i
$688$	−9.81266	+	30.2003i	−0.374104	+	1.15137i
$689$	−4.84294	+	3.51860i	−0.184501	+	0.134048i
$690$	−21.9433	−	15.9427i	−0.835367	−	0.606929i
$691$	−13.4987	−	41.5449i	−0.513516	−	1.58044i	−0.785965	−	0.618271i	$-0.787834\pi$
$691$	−13.4987	−	41.5449i	−0.513516	−	1.58044i	0.272449	−	0.962170i	$-0.412166\pi$
$692$	2.33058			0.0885955
$693$	−2.80902	−	1.76336i	−0.106706	−	0.0669843i
$694$	−18.0896			−0.686670
$695$	−9.47528	−	29.1619i	−0.359418	−	1.10617i
$696$	−19.6395	−	14.2690i	−0.744435	−	0.540864i
$697$	−21.1532	+	15.3687i	−0.801235	+	0.582132i
$698$	7.63391	−	23.4948i	0.288948	−	0.889289i
$699$	0.322351	−	0.992094i	0.0121924	−	0.0375244i
$700$	0.0675436	−	0.0490733i	0.00255291	−	0.00185480i
$701$	16.7650	+	12.1805i	0.633207	+	0.460052i	0.857510	−	0.514468i	$-0.172011\pi$
$701$	16.7650	+	12.1805i	0.633207	+	0.460052i	−0.224303	+	0.974519i	$0.572011\pi$
$702$	0.410201	+	1.26247i	0.0154820	+	0.0476488i
$703$	−2.99159			−0.112830
$704$	−9.22856	−	22.9782i	−0.347814	−	0.866023i
$705$	−14.9709			−0.563837
$706$	−2.05647	−	6.32917i	−0.0773963	−	0.238201i
$707$	8.04763	+	5.84694i	0.302662	+	0.219897i
$708$	−0.931167	+	0.676533i	−0.0349954	+	0.0254257i
$709$	−5.94324	+	18.2914i	−0.223203	+	0.686949i	0.775266	+	0.631635i	$0.217616\pi$
$709$	−5.94324	+	18.2914i	−0.223203	+	0.686949i	−0.998469	+	0.0553137i	$0.982384\pi$
$710$	−6.41071	+	19.7301i	−0.240590	+	0.740459i
$711$	3.92960	−	2.85502i	0.147371	−	0.107072i
$712$	−0.579246	−	0.420847i	−0.0217082	−	0.0157719i
$713$	15.9811	+	49.1846i	0.598495	+	1.84198i
$714$	−3.18348			−0.119139
$715$	7.20192	−	0.488644i	0.269337	−	0.0182743i
$716$	−1.53743			−0.0574565
$717$	3.83613	+	11.8064i	0.143263	+	0.440918i
$718$	36.4815	+	26.5054i	1.36148	+	0.989172i
$719$	4.34430	−	3.15632i	0.162015	−	0.117711i	−0.503824	−	0.863806i	$-0.668074\pi$
$719$	4.34430	−	3.15632i	0.162015	−	0.117711i	0.665839	+	0.746096i	$0.268074\pi$
$720$	−3.11646	+	9.59148i	−0.116144	+	0.357453i
$721$	0.203570	−	0.626523i	0.00758133	−	0.0233329i
$722$	21.7829	−	15.8262i	0.810676	−	0.588990i
$723$	7.62446	+	5.53949i	0.283557	+	0.206016i
$724$	0.531302	+	1.63518i	0.0197457	+	0.0607710i
$725$	6.18971			0.229880
$726$	−2.84613	+	15.7598i	−0.105630	+	0.584902i
$727$	8.19052			0.303769			0.151885	−	0.988398i	$-0.451466\pi$
$727$	8.19052			0.303769			0.151885	+	0.988398i	$0.451466\pi$
$728$	−0.771340	−	2.37394i	−0.0285878	−	0.0879841i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	12.3345	−	8.96152i	0.456519	−	0.331681i
$731$	−5.07861	+	15.6304i	−0.187839	+	0.578110i
$732$	0.00231962	−	0.00713907i	8.57358e−5	−	0.000263868i
$733$	−19.6806	+	14.2988i	−0.726919	+	0.528137i	−0.888587	−	0.458708i	$-0.848312\pi$
$733$	−19.6806	+	14.2988i	−0.726919	+	0.528137i	0.161668	+	0.986845i	$0.448312\pi$
$734$	−17.3639	−	12.6156i	−0.640914	−	0.465651i
$735$	−0.737640	−	2.27022i	−0.0272083	−	0.0837385i
$736$	5.27365			0.194389
$737$	37.4891	−	2.54360i	1.38093	−	0.0936949i
$738$	−17.4089			−0.640831
$739$	−5.86182	−	18.0408i	−0.215630	−	0.663642i	−0.999108	−	0.0422224i	$-0.986556\pi$
$739$	−5.86182	−	18.0408i	−0.215630	−	0.663642i	0.783478	−	0.621420i	$-0.213444\pi$
$740$	0.971389	+	0.705755i	0.0357090	+	0.0259441i
$741$	−0.524719	+	0.381231i	−0.0192760	+	0.0140049i
$742$	2.95376	−	9.09072i	0.108436	−	0.333731i
$743$	−5.22228	+	16.0725i	−0.191587	+	0.589644i	0.808413	+	0.588616i	$0.200327\pi$
$743$	−5.22228	+	16.0725i	−0.191587	+	0.589644i	−0.999999	+	0.00102754i	$0.999673\pi$
$744$	14.6758	−	10.6626i	0.538042	−	0.390911i
$745$	−29.6340	−	21.5304i	−1.08571	−	0.788811i
$746$	−5.65519	−	17.4049i	−0.207051	−	0.637238i
$747$	10.0490			0.367672
$748$	0.323275	+	0.804921i	0.0118201	+	0.0294308i
$749$	−0.283088			−0.0103438
$750$	4.61998	+	14.2188i	0.168698	+	0.519198i
$751$	18.2791	+	13.2805i	0.667014	+	0.484614i	0.869024	−	0.494769i	$-0.164747\pi$
$751$	18.2791	+	13.2805i	0.667014	+	0.484614i	−0.202010	+	0.979383i	$0.564747\pi$
$752$	21.4368	−	15.5748i	0.781721	−	0.567954i
$753$	0.949360	−	2.92183i	0.0345966	−	0.106477i
$754$	−3.63743	+	11.1949i	−0.132467	+	0.407692i
$755$	13.3431	−	9.69435i	0.485606	−	0.352813i
$756$	−0.0967635	−	0.0703028i	−0.00351926	−	0.00255689i
$757$	1.19820	+	3.68767i	0.0435492	+	0.134031i	0.970467	−	0.241234i	$-0.0775520\pi$
$757$	1.19820	+	3.68767i	0.0435492	+	0.134031i	−0.926918	+	0.375264i	$0.877552\pi$
$758$	23.3436			0.847879
$759$	21.9234	+	13.7624i	0.795770	+	0.499543i
$760$	−4.64859			−0.168622
$761$	11.5755	+	35.6257i	0.419611	+	1.29143i	0.908061	+	0.418839i	$0.137563\pi$
$761$	11.5755	+	35.6257i	0.419611	+	1.29143i	−0.488449	+	0.872592i	$0.662437\pi$
$762$	−25.7206	−	18.6871i	−0.931760	−	0.676963i
$763$	−7.26467	+	5.27809i	−0.262999	+	0.191080i
$764$	−0.885276	+	2.72460i	−0.0320282	+	0.0985726i
$765$	−1.61295	+	4.96414i	−0.0583162	+	0.179479i
$766$	3.30999	−	2.40485i	0.119595	−	0.0868907i
$767$	−7.09840	−	5.15729i	−0.256308	−	0.186219i
$768$	−0.883940	−	2.72049i	−0.0318964	−	0.0981671i
$769$	−20.6137			−0.743349			−0.371674	−	0.928363i	$-0.621216\pi$
$769$	−20.6137			−0.743349			−0.371674	+	0.928363i	$0.621216\pi$
$770$	−8.84488	+	7.39063i	−0.318748	+	0.266340i
$771$	−0.626267			−0.0225544
$772$	0.00515999	+	0.0158808i	0.000185712	+	0.000571563i
$773$	−7.31097	−	5.31173i	−0.262957	−	0.191050i	0.448492	−	0.893787i	$-0.351961\pi$
$773$	−7.31097	−	5.31173i	−0.262957	−	0.191050i	−0.711450	+	0.702737i	$0.751961\pi$
$774$	−8.85264	+	6.43182i	−0.318201	+	0.231187i
$775$	−1.42930	+	4.39894i	−0.0513420	+	0.158015i
$776$	−8.36220	+	25.7362i	−0.300185	+	0.923875i
$777$	3.40233	−	2.47194i	0.122058	−	0.0886803i
$778$	24.2693	+	17.6327i	0.870097	+	0.632162i
$779$	−2.62850	−	8.08970i	−0.0941759	−	0.289844i
$780$	0.260318			0.00932086
$781$	4.82938	−	19.2004i	0.172809	−	0.687043i
$782$	24.8460			0.888492
$783$	−2.74018	−	8.43342i	−0.0979262	−	0.301386i
$784$	3.41802	+	2.48334i	0.122072	+	0.0886906i
$785$	18.0325	−	13.1014i	0.643607	−	0.467608i
$786$	4.14904	−	12.7694i	0.147991	−	0.455471i
$787$	−10.3392	+	31.8209i	−0.368554	+	1.13429i	0.579171	+	0.815206i	$0.303376\pi$
$787$	−10.3392	+	31.8209i	−0.368554	+	1.13429i	−0.947725	+	0.319087i	$0.896624\pi$
$788$	−1.41384	+	1.02721i	−0.0503659	+	0.0365930i
$789$	0.829383	+	0.602582i	0.0295268	+	0.0214525i
$790$	−5.21630	−	16.0541i	−0.185588	−	0.571180i
$791$	−1.32938			−0.0472674
$792$	2.21480	−	8.80546i	0.0786994	−	0.312888i
$793$	0.0572227			0.00203204
$794$	12.8934	+	39.6818i	0.457570	+	1.40825i
$795$	−12.6790	−	9.21182i	−0.449677	−	0.326710i
$796$	2.56135	−	1.86093i	0.0907845	−	0.0659588i
$797$	0.236759	−	0.728670i	0.00838644	−	0.0258108i	−0.946776	−	0.321894i	$-0.895681\pi$
$797$	0.236759	−	0.728670i	0.00838644	−	0.0258108i	0.955162	+	0.296083i	$0.0956805\pi$
$798$	0.320031	−	0.984955i	0.0113290	−	0.0348670i
$799$	11.0948	−	8.06083i	0.392505	−	0.285172i
$800$	0.381582	+	0.277235i	0.0134910	+	0.00980175i
$801$	−0.0808187	−	0.248734i	−0.00285559	−	0.00878859i
$802$	−32.4890			−1.14723
$803$	−11.1654	+	9.32963i	−0.394019	+	0.329235i
$804$	1.35507			0.0477895
$805$	5.75703	+	17.7183i	0.202909	+	0.624489i
$806$	−7.11609	−	5.17014i	−0.250653	−	0.182110i
$807$	25.8938	−	18.8130i	0.911507	−	0.662248i
$808$	−8.41529	+	25.8996i	−0.296049	+	0.911145i
$809$	−3.16159	+	9.73039i	−0.111156	+	0.342102i	−0.991126	−	0.132927i	$-0.957562\pi$
$809$	−3.16159	+	9.73039i	−0.111156	+	0.342102i	0.879970	+	0.475029i	$0.157562\pi$
$810$	−2.81156	+	2.04272i	−0.0987882	+	0.0717738i
$811$	−8.42960	−	6.12446i	−0.296003	−	0.215059i	0.429864	−	0.902894i	$-0.358561\pi$
$811$	−8.42960	−	6.12446i	−0.296003	−	0.215059i	−0.725867	+	0.687835i	$0.758561\pi$
$812$	−0.327743	−	1.00869i	−0.0115015	−	0.0353981i
$813$	−5.95536			−0.208863
$814$	−17.1989	−	10.7966i	−0.602822	−	0.378420i
$815$	24.8992			0.872181
$816$	−2.85479	−	8.78615i	−0.0999378	−	0.307577i
$817$	−4.32541	−	3.14260i	−0.151327	−	0.109946i
$818$	−19.3590	+	14.0651i	−0.676870	+	0.491775i
$819$	0.281754	−	0.867148i	0.00984526	−	0.0303006i
$820$	−1.05498	+	3.24688i	−0.0368414	+	0.113386i
$821$	−22.4513	+	16.3118i	−0.783555	+	0.569286i	−0.906044	−	0.423184i	$-0.860912\pi$
$821$	−22.4513	+	16.3118i	−0.783555	+	0.569286i	0.122489	+	0.992470i	$0.460912\pi$
$822$	−2.41162	−	1.75214i	−0.0841148	−	0.0611130i
$823$	−5.79157	−	17.8246i	−0.201881	−	0.621327i	−0.999827	−	0.0185975i	$-0.994080\pi$
$823$	−5.79157	−	17.8246i	−0.201881	−	0.621327i	0.797946	−	0.602729i	$-0.205920\pi$
$824$	1.80346			0.0628266
$825$	0.862810	+	2.14831i	0.0300392	+	0.0747945i
$826$	14.0102			0.487476
$827$	−17.1947	−	52.9198i	−0.597918	−	1.84020i	−0.539631	−	0.841901i	$-0.681436\pi$
$827$	−17.1947	−	52.9198i	−0.597918	−	1.84020i	−0.0582861	−	0.998300i	$-0.518564\pi$
$828$	0.755207	+	0.548690i	0.0262453	+	0.0190683i
$829$	30.3867	−	22.0772i	1.05537	−	0.766774i	0.0821472	−	0.996620i	$-0.473822\pi$
$829$	30.3867	−	22.0772i	1.05537	−	0.766774i	0.973227	+	0.229846i	$0.0738222\pi$
$830$	10.7918	−	33.2137i	0.374589	−	1.15286i
$831$	0.394833	−	1.21517i	0.0136966	−	0.0421538i
$832$	5.50727	−	4.00127i	0.190930	−	0.138719i
$833$	1.76902	+	1.28527i	0.0612929	+	0.0445319i
$834$	5.77906	+	17.7861i	0.200113	+	0.615883i
$835$	3.22589			0.111637
$836$	−0.281537	+	0.0191021i	−0.00973716	+	0.000660658i
$837$	6.62627			0.229037
$838$	−5.74625	−	17.6851i	−0.198501	−	0.610923i
$839$	36.1509	+	26.2652i	1.24807	+	0.906774i	0.998108	−	0.0614819i	$-0.0195827\pi$
$839$	36.1509	+	26.2652i	1.24807	+	0.906774i	0.249960	+	0.968256i	$0.419583\pi$
$840$	5.28684	−	3.84112i	0.182413	−	0.132531i
$841$	15.3369	−	47.2021i	0.528858	−	1.62766i
$842$	4.86028	−	14.9584i	0.167496	−	0.515500i
$843$	−3.60021	+	2.61571i	−0.123998	+	0.0900898i
$844$	−1.69934	−	1.23465i	−0.0584939	−	0.0424983i
$845$	−8.97610	−	27.6256i	−0.308787	−	0.950349i
$846$	9.13090			0.313927
$847$	7.94427	−	7.60845i	0.272968	−	0.261430i
$848$	27.7384			0.952541
$849$	−7.04448	−	21.6807i	−0.241766	−	0.744079i
$850$	1.79777	+	1.30615i	0.0616628	+	0.0448007i
$851$	−26.5541	+	19.2926i	−0.910261	+	0.661343i
$852$	0.220633	−	0.679039i	0.00755876	−	0.0232635i
$853$	17.2080	−	52.9607i	0.589190	−	1.81334i	0.00743815	−	0.999972i	$-0.497632\pi$
$853$	17.2080	−	52.9607i	0.589190	−	1.81334i	0.581751	−	0.813367i	$-0.302368\pi$
$854$	−0.0739208	+	0.0537066i	−0.00252952	+	0.00183780i
$855$	−1.37373	−	0.998076i	−0.0469807	−	0.0341335i
$856$	−0.239486	−	0.737063i	−0.00818548	−	0.0251923i
$857$	−37.5988			−1.28435			−0.642176	−	0.766557i	$-0.721968\pi$
$857$	−37.5988			−1.28435			−0.642176	+	0.766557i	$0.721968\pi$
$858$	−4.39252	+	0.298029i	−0.149958	+	0.0101745i
$859$	44.1084			1.50496			0.752479	−	0.658616i	$-0.228858\pi$
$859$	44.1084			1.50496			0.752479	+	0.658616i	$0.228858\pi$
$860$	0.663111	+	2.04085i	0.0226119	+	0.0695923i
$861$	9.67390	+	7.02850i	0.329685	+	0.239531i
$862$	−32.4371	+	23.5669i	−1.10481	+	0.802692i
$863$	−1.39382	+	4.28973i	−0.0474461	+	0.146024i	−0.971973	−	0.235093i	$-0.924461\pi$
$863$	−1.39382	+	4.28973i	−0.0474461	+	0.146024i	0.924527	+	0.381117i	$0.124461\pi$
$864$	0.208805	−	0.642634i	0.00710367	−	0.0218629i
$865$	−37.6297	+	27.3396i	−1.27945	+	0.929573i
$866$	−17.9738	−	13.0588i	−0.610776	−	0.443755i
$867$	3.77577	+	11.6206i	0.128232	+	0.394657i
$868$	0.792543			0.0269007
$869$	6.00389	+	14.9491i	0.203668	+	0.507112i
$870$	−30.8168			−1.04479
$871$	3.19209	+	9.82425i	0.108160	+	0.332882i
$872$	−19.8880	−	14.4495i	−0.673494	−	0.489322i
$873$	−7.99686	+	5.81006i	−0.270653	+	0.196641i
$874$	−2.49774	+	7.68724i	−0.0844872	+	0.260025i
$875$	3.17331	−	9.76644i	0.107277	−	0.330166i
$876$	−0.424507	+	0.308422i	−0.0143428	+	0.0104206i
$877$	29.1956	+	21.2118i	0.985865	+	0.716273i	0.959012	−	0.283367i	$-0.0914513\pi$
$877$	29.1956	+	21.2118i	0.985865	+	0.716273i	0.0268532	+	0.999639i	$0.491451\pi$
$878$	−12.8445	−	39.5312i	−0.433479	−	1.33411i
$879$	8.39334			0.283100
$880$	−28.3292	−	17.7836i	−0.954976	−	0.599485i
$881$	−12.8240			−0.432052			−0.216026	−	0.976388i	$-0.569310\pi$
$881$	−12.8240			−0.432052			−0.216026	+	0.976388i	$0.569310\pi$
$882$	0.449894	+	1.38463i	0.0151487	+	0.0466229i
$883$	7.57416	+	5.50295i	0.254891	+	0.185189i	0.707892	−	0.706321i	$-0.249647\pi$
$883$	7.57416	+	5.50295i	0.254891	+	0.185189i	−0.453001	+	0.891510i	$0.649647\pi$
$884$	−0.192919	+	0.140164i	−0.00648855	+	0.00471421i
$885$	7.09840	−	21.8466i	0.238610	−	0.734367i
$886$	5.09776	−	15.6893i	0.171263	−	0.527092i
$887$	8.02099	−	5.82759i	0.269318	−	0.195671i	−0.444927	−	0.895567i	$-0.646770\pi$
$887$	8.02099	−	5.82759i	0.269318	−	0.195671i	0.714245	+	0.699896i	$0.246770\pi$
$888$	9.31436	+	6.76728i	0.312569	+	0.227095i
$889$	6.74805	+	20.7684i	0.226322	+	0.696549i
$890$	−0.908906			−0.0304666
$891$	2.54508	−	2.12663i	0.0852636	−	0.0712447i
$892$	2.70117			0.0904419
$893$	1.37864	+	4.24302i	0.0461344	+	0.141987i
$894$	18.0741	+	13.1316i	0.604487	+	0.439185i
$895$	24.8234	−	18.0353i	0.829756	−	0.602853i
$896$	−3.77654	+	11.6230i	−0.126165	+	0.388297i
$897$	−2.19899	+	6.76780i	−0.0734222	+	0.225970i
$898$	31.6800	−	23.0169i	1.05718	−	0.768083i
$899$	47.5361	+	34.5370i	1.58542	+	1.15187i
$900$	0.0257994	+	0.0794023i	0.000859979	+	0.00264674i
$901$	14.3562			0.478275
$902$	14.0841	−	55.9947i	0.468949	−	1.86442i
$903$	7.51601			0.250117
$904$	−1.12463	−	3.46125i	−0.0374046	−	0.115119i
$905$	−27.7604	−	20.1691i	−0.922785	−	0.670443i
$906$	−8.13810	+	5.91267i	−0.270370	+	0.196435i
$907$	−4.32258	+	13.3035i	−0.143529	+	0.441736i	−0.996819	−	0.0797004i	$-0.974604\pi$
$907$	−4.32258	+	13.3035i	−0.143529	+	0.441736i	0.853290	+	0.521436i	$0.174604\pi$
$908$	0.812071	−	2.49930i	0.0269495	−	0.0829421i
$909$	−8.04763	+	5.84694i	−0.266923	+	0.193931i
$910$	−2.56351	−	1.86250i	−0.0849794	−	0.0617412i
$911$	−8.37955	−	25.7896i	−0.277627	−	0.854447i	−0.988512	−	0.151140i	$-0.951706\pi$
$911$	−8.37955	−	25.7896i	−0.277627	−	0.854447i	0.710886	−	0.703308i	$-0.248294\pi$
$912$	3.00538			0.0995181
$913$	−8.12978	+	32.3219i	−0.269057	+	1.06970i
$914$	−42.1762			−1.39507
$915$	0.0462941	+	0.142479i	0.00153044	+	0.00471020i
$916$	−2.26236	−	1.64370i	−0.0747505	−	0.0543094i
$917$	−7.46097	+	5.42072i	−0.246383	+	0.179008i
$918$	0.983751	−	3.02767i	0.0324686	−	0.0999281i
$919$	1.36858	−	4.21204i	0.0451452	−	0.138943i	−0.925943	−	0.377663i	$-0.876728\pi$
$919$	1.36858	−	4.21204i	0.0451452	−	0.138943i	0.971088	+	0.238720i	$0.0767279\pi$
$920$	−41.2620	+	29.9786i	−1.36037	+	0.988366i
$921$	8.94449	+	6.49855i	0.294731	+	0.214135i
$922$	−18.8674	−	58.0680i	−0.621365	−	1.91237i
$923$	5.44278			0.179151
$924$	0.304408	−	0.254358i	0.0100143	−	0.00836776i
$925$	−2.93556			−0.0965208
$926$	−0.516947	−	1.59100i	−0.0169879	−	0.0522835i
$927$	0.532952	+	0.387212i	0.0175044	+	0.0127177i
$928$	4.84744	−	3.52187i	0.159125	−	0.115611i
$929$	−17.5442	+	53.9956i	−0.575608	+	1.77154i	0.0584913	+	0.998288i	$0.481371\pi$
$929$	−17.5442	+	53.9956i	−0.575608	+	1.77154i	−0.634099	+	0.773252i	$0.718629\pi$
$930$	7.11609	−	21.9011i	0.233346	−	0.718164i
$931$	−0.575493	+	0.418120i	−0.0188610	+	0.0137033i
$932$	0.100939	+	0.0733364i	0.00330636	+	0.00240221i
$933$	6.98112	+	21.4857i	0.228551	+	0.703409i
$934$	43.0777			1.40955
$935$	−14.6620	−	9.20402i	−0.479497	−	0.301004i
$936$	2.49611			0.0815878
$937$	−0.883162	−	2.71809i	−0.0288517	−	0.0887963i	0.935594	−	0.353078i	$-0.114865\pi$
$937$	−0.883162	−	2.71809i	−0.0288517	−	0.0887963i	−0.964445	+	0.264282i	$0.914865\pi$
$938$	−13.3442	−	9.69511i	−0.435703	−	0.316556i
$939$	2.06193	−	1.49808i	0.0672887	−	0.0488881i
$940$	0.553331	−	1.70298i	0.0180477	−	0.0555450i
$941$	7.49416	−	23.0647i	0.244303	−	0.751887i	−0.751448	−	0.659793i	$-0.770644\pi$
$941$	7.49416	−	23.0647i	0.244303	−	0.751887i	0.995750	−	0.0920938i	$-0.0293560\pi$
$942$	−10.9982	+	7.99065i	−0.358340	+	0.260350i
$943$	−75.5015	−	54.8550i	−2.45867	−	1.78633i
$944$	12.5636	+	38.6669i	0.408912	+	1.25850i
$945$	2.38705			0.0776509
$946$	−13.5256	−	33.6774i	−0.439756	−	1.09495i
$947$	−45.0901			−1.46523			−0.732616	−	0.680642i	$-0.761701\pi$
$947$	−45.0901			−1.46523			−0.732616	+	0.680642i	$0.761701\pi$
$948$	0.179526	+	0.552523i	0.00583072	+	0.0179451i
$949$	−3.23607	−	2.35114i	−0.105047	−	0.0763213i
$950$	−0.584844	+	0.424914i	−0.0189749	+	0.0137860i
$951$	−9.68566	+	29.8094i	−0.314079	+	0.966636i
$952$	−1.84984	+	5.69322i	−0.0599536	+	0.184518i
$953$	30.5081	−	22.1654i	0.988255	−	0.718009i	0.0287166	−	0.999588i	$-0.490858\pi$
$953$	30.5081	−	22.1654i	0.988255	−	0.718009i	0.959538	+	0.281578i	$0.0908580\pi$
$954$	7.73303	+	5.61838i	0.250366	+	0.181902i
$955$	−17.6680	−	54.3765i	−0.571722	−	1.75958i
$956$	−1.48479			−0.0480216
$957$	29.3425	−	1.99086i	0.948507	−	0.0643554i
$958$	−14.8105			−0.478505
$959$	0.632711	+	1.94728i	0.0204313	+	0.0628811i
$960$	14.4182	+	10.4754i	0.465346	+	0.338094i
$961$	−10.4423	+	7.58679i	−0.336849	+	0.244735i
$962$	1.72511	−	5.30933i	0.0556197	−	0.171180i
$963$	0.0874791	−	0.269233i	0.00281898	−	0.00867592i
$964$	−0.911933	+	0.662558i	−0.0293714	+	0.0213396i
$965$	−0.269608	−	0.195882i	−0.00867898	−	0.00630565i
$966$	−3.51127	−	10.8066i	−0.112973	−	0.347696i
$967$	−60.7131			−1.95240			−0.976201	−	0.216870i	$-0.930415\pi$
$967$	−60.7131			−1.95240			−0.976201	+	0.216870i	$0.930415\pi$
$968$	26.5304	+	14.2475i	0.852720	+	0.457933i
$969$	1.55546			0.0499684
$970$	10.6153	+	32.6707i	0.340838	+	1.04899i
$971$	23.8546	+	17.3314i	0.765530	+	0.556190i	0.900602	−	0.434646i	$-0.143126\pi$
$971$	23.8546	+	17.3314i	0.765530	+	0.556190i	−0.135071	+	0.990836i	$0.543126\pi$
$972$	0.0967635	−	0.0703028i	0.00310369	−	0.00225496i
$973$	3.96945	−	12.2167i	0.127255	−	0.391649i
$974$	19.7198	−	60.6912i	0.631862	−	1.94467i
$975$	−0.514893	+	0.374092i	−0.0164898	+	0.0119805i
$976$	−0.214514	−	0.155854i	−0.00686643	−	0.00498875i
$977$	1.40608	+	4.32746i	0.0449844	+	0.138448i	0.971026	−	0.238973i	$-0.0768109\pi$
$977$	1.40608	+	4.32746i	0.0449844	+	0.138448i	−0.926042	+	0.377421i	$0.876811\pi$
$978$	−15.1863			−0.485603
$979$	0.865423	−	0.0587182i	0.0276590	−	0.00187664i
$980$	0.285507			0.00912018
$981$	−2.77486	−	8.54013i	−0.0885943	−	0.272665i
$982$	−22.5211	−	16.3625i	−0.718677	−	0.522150i
$983$	29.9123	−	21.7325i	0.954053	−	0.693160i	0.00229090	−	0.999997i	$-0.499271\pi$
$983$	29.9123	−	21.7325i	0.954053	−	0.693160i	0.951762	+	0.306837i	$0.0992708\pi$
$984$	−10.1159	+	31.1334i	−0.322482	+	0.992496i
$985$	10.7779	−	33.1708i	0.343411	−	1.05691i
$986$	22.8380	−	16.5928i	0.727310	−	0.528421i
$987$	−5.07392	−	3.68642i	−0.161505	−	0.117340i
$988$	−0.0239721	−	0.0737785i	−0.000762654	−	0.00234721i
$989$	−58.6599			−1.86528
$990$	−4.29568	−	10.6958i	−0.136526	−	0.339935i
$991$	30.5701			0.971090			0.485545	−	0.874212i	$-0.338621\pi$
$991$	30.5701			0.971090			0.485545	+	0.874212i	$0.338621\pi$
$992$	1.38359	+	4.25827i	0.0439292	+	0.135200i
$993$	−3.90585	−	2.83776i	−0.123948	−	0.0900537i
$994$	−7.03103	+	5.10835i	−0.223011	+	0.162027i
$995$	−19.5255	+	60.0932i	−0.618999	+	1.90508i
$996$	−0.371414	+	1.14309i	−0.0117687	+	0.0362203i
$997$	2.14749	−	1.56024i	0.0680117	−	0.0494134i	−0.553260	−	0.833009i	$-0.686616\pi$
$997$	2.14749	−	1.56024i	0.0680117	−	0.0494134i	0.621272	+	0.783595i	$0.286616\pi$
$998$	−24.1422	−	17.5404i	−0.764210	−	0.555231i
$999$	1.29958	+	3.99968i	0.0411167	+	0.126544i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	231.2.j.f.148.2	yes	8
3.2	odd	2		693.2.m.f.379.1		8
11.3	even	5		2541.2.a.bn.1.3		4
11.8	odd	10		2541.2.a.bm.1.2		4
11.9	even	5	inner	231.2.j.f.64.2	✓	8
33.8	even	10		7623.2.a.cl.1.3		4
33.14	odd	10		7623.2.a.ci.1.2		4
33.20	odd	10		693.2.m.f.64.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
231.2.j.f.64.2	✓	8	11.9	even	5	inner
231.2.j.f.148.2	yes	8	1.1	even	1	trivial
693.2.m.f.64.1		8	33.20	odd	10
693.2.m.f.379.1		8	3.2	odd	2
2541.2.a.bm.1.2		4	11.8	odd	10
2541.2.a.bn.1.3		4	11.3	even	5
7623.2.a.ci.1.2		4	33.14	odd	10
7623.2.a.cl.1.3		4	33.8	even	10

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:	\( N \)	\(=\)	\( 231 = 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	231.j (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.449894 + 1.38463i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-0.0967635 + 0.0703028i) q^{4} +(0.737640 - 2.27022i) q^{5} +(-0.449894 + 1.38463i) q^{6} +(0.809017 - 0.587785i) q^{7} +(2.21480 + 1.60914i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.449894 + 1.38463i) q^{2} +(0.809017 + 0.587785i) q^{3} +(-0.0967635 + 0.0703028i) q^{4} +(0.737640 - 2.27022i) q^{5} +(-0.449894 + 1.38463i) q^{6} +(0.809017 - 0.587785i) q^{7} +(2.21480 + 1.60914i) q^{8} +(0.309017 + 0.951057i) q^{9} +3.47528 q^{10} +(-3.30902 + 0.224514i) q^{11} -0.119606 q^{12} +(-0.281754 - 0.867148i) q^{13} +(1.17784 + 0.855749i) q^{14} +(1.93117 - 1.40308i) q^{15} +(-1.30557 + 4.01813i) q^{16} +(-0.675706 + 2.07961i) q^{17} +(-1.17784 + 0.855749i) q^{18} +(-0.575493 - 0.418120i) q^{19} +(0.0882264 + 0.271533i) q^{20} +1.00000 q^{21} +(-1.79958 - 4.48076i) q^{22} -7.80466 q^{23} +(0.845977 + 2.60365i) q^{24} +(-0.564716 - 0.410290i) q^{25} +(1.07392 - 0.780249i) q^{26} +(-0.309017 + 0.951057i) q^{27} +(-0.0369604 + 0.113752i) q^{28} +(-7.17390 + 5.21214i) q^{29} +(2.81156 + 2.04272i) q^{30} +(-2.04763 - 6.30195i) q^{31} -0.675706 q^{32} +(-2.80902 - 1.76336i) q^{33} -3.18348 q^{34} +(-0.737640 - 2.27022i) q^{35} +(-0.0967635 - 0.0703028i) q^{36} +(3.40233 - 2.47194i) q^{37} +(0.320031 - 0.984955i) q^{38} +(0.281754 - 0.867148i) q^{39} +(5.28684 - 3.84112i) q^{40} +(9.67390 + 7.02850i) q^{41} +(0.449894 + 1.38463i) q^{42} +7.51601 q^{43} +(0.304408 - 0.254358i) q^{44} +2.38705 q^{45} +(-3.51127 - 10.8066i) q^{46} +(-5.07392 - 3.68642i) q^{47} +(-3.41802 + 2.48334i) q^{48} +(0.309017 - 0.951057i) q^{49} +(0.314038 - 0.966510i) q^{50} +(-1.76902 + 1.28527i) q^{51} +(0.0882264 + 0.0641003i) q^{52} +(-2.02884 - 6.24411i) q^{53} -1.45589 q^{54} +(-1.93117 + 7.67782i) q^{55} +2.73764 q^{56} +(-0.219819 - 0.676533i) q^{57} +(-10.4444 - 7.58829i) q^{58} +(7.78527 - 5.65633i) q^{59} +(-0.0882264 + 0.271533i) q^{60} +(-0.0193938 + 0.0596881i) q^{61} +(7.80466 - 5.67042i) q^{62} +(0.809017 + 0.587785i) q^{63} +(2.30714 + 7.10065i) q^{64} -2.17645 q^{65} +(1.17784 - 4.68277i) q^{66} -11.3294 q^{67} +(-0.0808187 - 0.248734i) q^{68} +(-6.31411 - 4.58747i) q^{69} +(2.81156 - 2.04272i) q^{70} +(-1.84466 + 5.67728i) q^{71} +(-0.845977 + 2.60365i) q^{72} +(3.54920 - 2.57865i) q^{73} +(4.95341 + 3.59886i) q^{74} +(-0.215702 - 0.663864i) q^{75} +0.0850818 q^{76} +(-2.54508 + 2.12663i) q^{77} +1.32744 q^{78} +(-1.50097 - 4.61952i) q^{79} +(8.15900 + 5.92786i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-5.37965 + 16.5568i) q^{82} +(3.10530 - 9.55713i) q^{83} +(-0.0967635 + 0.0703028i) q^{84} +(4.22275 + 3.06801i) q^{85} +(3.38141 + 10.4069i) q^{86} -8.86742 q^{87} +(-7.69008 - 4.82743i) q^{88} -0.261535 q^{89} +(1.07392 + 3.30519i) q^{90} +(-0.737640 - 0.535927i) q^{91} +(0.755207 - 0.548690i) q^{92} +(2.04763 - 6.30195i) q^{93} +(2.82160 - 8.68400i) q^{94} +(-1.37373 + 0.998076i) q^{95} +(-0.546657 - 0.397170i) q^{96} +(3.05453 + 9.40087i) q^{97} +1.45589 q^{98} +(-1.23607 - 3.07768i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 - 2 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} - 2 q^{9} + 20 q^{10} - 22 q^{11} - 6 q^{12} - 8 q^{13} + 3 q^{14} - 2 q^{15} + 4 q^{16} - 4 q^{17} - 3 q^{18} + 20 q^{20} + 8 q^{21} - 8 q^{22} - 20 q^{23} - 7 q^{24} - 26 q^{25} - 10 q^{26} + 2 q^{27} + 9 q^{28} + 24 q^{31} - 4 q^{32} - 18 q^{33} + 36 q^{34} - 2 q^{35} + 6 q^{36} + 6 q^{37} + 14 q^{38} + 8 q^{39} + 12 q^{40} + 20 q^{41} + 2 q^{42} - 8 q^{43} - 39 q^{44} - 8 q^{45} - 43 q^{46} - 22 q^{47} + q^{48} - 2 q^{49} + 22 q^{50} + 4 q^{51} + 20 q^{52} - 20 q^{53} - 2 q^{54} + 2 q^{55} + 18 q^{56} - 10 q^{57} - 17 q^{58} + 18 q^{59} - 20 q^{60} - 2 q^{61} + 20 q^{62} + 2 q^{63} + 18 q^{64} - 56 q^{65} + 3 q^{66} - 56 q^{67} - 2 q^{68} - 10 q^{69} + 14 q^{71} + 7 q^{72} + 2 q^{73} - 12 q^{74} - 14 q^{75} - 8 q^{76} + 2 q^{77} + 40 q^{78} + 20 q^{79} + 38 q^{80} - 2 q^{81} + 2 q^{82} - 8 q^{83} + 6 q^{84} + 60 q^{85} + 55 q^{86} - 38 q^{88} - 32 q^{89} - 10 q^{90} - 2 q^{91} - 9 q^{92} - 24 q^{93} + 48 q^{94} - 28 q^{95} + 4 q^{96} + 4 q^{97} + 2 q^{98} + 8 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 - 2 * q^9 + 20 * q^10 - 22 * q^11 - 6 * q^12 - 8 * q^13 + 3 * q^14 - 2 * q^15 + 4 * q^16 - 4 * q^17 - 3 * q^18 + 20 * q^20 + 8 * q^21 - 8 * q^22 - 20 * q^23 - 7 * q^24 - 26 * q^25 - 10 * q^26 + 2 * q^27 + 9 * q^28 + 24 * q^31 - 4 * q^32 - 18 * q^33 + 36 * q^34 - 2 * q^35 + 6 * q^36 + 6 * q^37 + 14 * q^38 + 8 * q^39 + 12 * q^40 + 20 * q^41 + 2 * q^42 - 8 * q^43 - 39 * q^44 - 8 * q^45 - 43 * q^46 - 22 * q^47 + q^48 - 2 * q^49 + 22 * q^50 + 4 * q^51 + 20 * q^52 - 20 * q^53 - 2 * q^54 + 2 * q^55 + 18 * q^56 - 10 * q^57 - 17 * q^58 + 18 * q^59 - 20 * q^60 - 2 * q^61 + 20 * q^62 + 2 * q^63 + 18 * q^64 - 56 * q^65 + 3 * q^66 - 56 * q^67 - 2 * q^68 - 10 * q^69 + 14 * q^71 + 7 * q^72 + 2 * q^73 - 12 * q^74 - 14 * q^75 - 8 * q^76 + 2 * q^77 + 40 * q^78 + 20 * q^79 + 38 * q^80 - 2 * q^81 + 2 * q^82 - 8 * q^83 + 6 * q^84 + 60 * q^85 + 55 * q^86 - 38 * q^88 - 32 * q^89 - 10 * q^90 - 2 * q^91 - 9 * q^92 - 24 * q^93 + 48 * q^94 - 28 * q^95 + 4 * q^96 + 4 * q^97 + 2 * q^98 + 8 * q^99

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