LMFDB - Embedded newform 231.2.j.f.64.2

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			64.2
Root			$-0.227943 + 0.701538i$ of defining polynomial
Character	$\chi$	$=$	231.64
Dual form			231.2.j.f.148.2

$q$-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 $\left(\mathbb{Z}/231\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$1$	$1$	$e\left(\frac{3}{5}\right)$

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	−0.656327	−	0.754477i	$-0.727891\pi$
$2$	0.449894	−	1.38463i	0.318123	−	0.979082i	0.974450	−	0.224605i	$-0.0721092\pi$
$3$	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	0.969188	+	0.246322i	$0.0792220\pi$
$5$	0.737640	+	2.27022i	0.329883	+	1.01527i	−0.639305	+	0.768953i	$0.720778\pi$
$6$	−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	−0.982496	−	0.186285i	$-0.940355\pi$
$13$	−0.281754	+	0.867148i	−0.0781444	+	0.240504i	0.904351	+	0.426789i	$0.140355\pi$
$14$	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	0.835070	−	0.550144i	$-0.185427\pi$
$17$	−0.675706	−	2.07961i	−0.163883	−	0.504379i	−0.998952	+	0.0457654i	$0.985427\pi$
$18$	−1.17784	−	0.855749i	−0.277619	−	0.201702i
$19$	−0.575493	+	0.418120i	−0.132027	+	0.0959234i	−0.651839	−	0.758358i	$-0.726002\pi$
$19$	−0.575493	+	0.418120i	−0.132027	+	0.0959234i	0.519812	+	0.854281i	$0.326002\pi$
$20$	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	−0.999694	−	0.0247547i	$-0.992120\pi$
$29$	−7.17390	−	5.21214i	−1.33216	−	0.967870i	−0.332465	−	0.943115i	$-0.607880\pi$
$30$	2.81156	−	2.04272i	0.513318	−	0.372948i
$31$	−2.04763	+	6.30195i	−0.367765	+	1.13186i	0.580466	+	0.814284i	$0.302870\pi$
$31$	−2.04763	+	6.30195i	−0.367765	+	1.13186i	−0.948231	+	0.317580i	$0.897130\pi$
$32$	−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	0.831217	−	0.555948i	$-0.187645\pi$
$37$	3.40233	+	2.47194i	0.559340	+	0.406384i	−0.271877	+	0.962332i	$0.587645\pi$
$38$	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	0.544992	−	0.838441i	$-0.316533\pi$
$41$	9.67390	−	7.02850i	1.51081	−	1.09767i	0.965817	−	0.259225i	$-0.0834673\pi$
$42$	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	−0.892745	−	0.450563i	$-0.851223\pi$
$47$	−5.07392	+	3.68642i	−0.740107	+	0.537720i	0.152637	+	0.988282i	$0.451223\pi$
$48$	−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	0.709540	+	0.704666i	$0.248903\pi$
$53$	−2.02884	+	6.24411i	−0.278682	+	0.857695i	−0.988222	+	0.153030i	$0.951097\pi$
$54$	−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	0.964952	−	0.262427i	$-0.0845228\pi$
$59$	7.78527	+	5.65633i	1.01356	+	0.736391i	0.0486038	+	0.998818i	$0.484523\pi$
$60$	−0.0882264	−	0.271533i	−0.0113900	−	0.0350548i
$61$	−0.0193938	−	0.0596881i	−0.00248313	−	0.00764227i	0.949807	−	0.312836i	$-0.101279\pi$
$61$	−0.0193938	−	0.0596881i	−0.00248313	−	0.00764227i	−0.952290	+	0.305193i	$0.901279\pi$
$62$	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	−0.998852	−	0.0479037i	$-0.984746\pi$
$71$	−1.84466	−	5.67728i	−0.218921	−	0.673769i	0.779931	−	0.625865i	$-0.215254\pi$
$72$	−0.845977	−	2.60365i	−0.0996994	−	0.306843i
$73$	3.54920	+	2.57865i	0.415403	+	0.301808i	0.775785	−	0.630997i	$-0.217354\pi$
$73$	3.54920	+	2.57865i	0.415403	+	0.301808i	−0.360383	+	0.932805i	$0.617354\pi$
$74$	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	−0.999301	−	0.0373894i	$-0.988096\pi$
$79$	−1.50097	+	4.61952i	−0.168873	+	0.519736i	0.830428	+	0.557126i	$0.188096\pi$
$80$	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	0.963768	+	0.266743i	$0.0859476\pi$
$83$	3.10530	+	9.55713i	0.340851	+	1.04903i	−0.622917	+	0.782288i	$0.714052\pi$
$84$	−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	−0.667569	−	0.744548i	$-0.732665\pi$
$97$	3.05453	−	9.40087i	0.310140	−	0.954513i	0.977709	−	0.209965i	$-0.0673351\pi$
$98$	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	−0.673486	−	0.739200i	$-0.735204\pi$
$101$	3.07392	−	9.46056i	0.305867	−	0.941360i	0.979352	−	0.202160i	$-0.0647962\pi$
$102$	−2.57549	+	1.87121i	−0.255012	+	0.185277i
$103$	0.532952	+	0.387212i	0.0525133	+	0.0381532i	0.613732	−	0.789514i	$-0.289667\pi$
$103$	0.532952	+	0.387212i	0.0525133	+	0.0381532i	−0.561219	+	0.827667i	$0.689667\pi$
$104$	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	−0.598800	−	0.800898i	$-0.704356\pi$
$107$	−0.229023	+	0.166395i	−0.0221405	+	0.0160860i	0.576660	+	0.816984i	$0.304356\pi$
$108$	−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	−0.637222	−	0.770680i	$-0.719917\pi$
$113$	−1.07549	+	0.781391i	−0.101174	+	0.0735071i	0.536048	+	0.844187i	$0.319917\pi$
$114$	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	−0.534859	−	0.844941i	$-0.679635\pi$
$127$	−6.74805	−	20.7684i	−0.598793	−	1.84290i	−0.0639336	−	0.997954i	$-0.520365\pi$
$128$	−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	0.920384	−	0.391017i	$-0.127876\pi$
$137$	−0.632711	−	1.94728i	−0.0540561	−	0.166368i	−0.974440	+	0.224649i	$0.927876\pi$
$138$	3.51127	+	10.8066i	0.298899	+	0.919917i
$139$	10.3921	+	7.55033i	0.881450	+	0.640411i	0.933635	−	0.358227i	$-0.116618\pi$
$139$	10.3921	+	7.55033i	0.881450	+	0.640411i	−0.0521847	+	0.998637i	$0.516618\pi$
$140$	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	0.933930	+	0.357456i	$0.116356\pi$
$149$	4.74190	+	14.5941i	0.388472	+	1.19559i	−0.545458	+	0.838138i	$0.683644\pi$
$150$	0.822163	+	0.597336i	0.0671293	+	0.0487723i
$151$	5.58979	−	4.06122i	0.454890	−	0.330497i	−0.336633	−	0.941636i	$-0.609288\pi$
$151$	5.58979	−	4.06122i	0.454890	−	0.330497i	0.791524	+	0.611139i	$0.209288\pi$
$152$	−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	−0.244008	−	0.969773i	$-0.578462\pi$
$157$	7.55429	−	5.48851i	0.602898	−	0.438031i	0.846906	+	0.531742i	$0.178462\pi$
$158$	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	−0.741846	−	0.670570i	$-0.766050\pi$
$163$	3.22333	−	9.92040i	0.252471	−	0.777026i	0.994317	−	0.106456i	$-0.0339504\pi$
$164$	−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	−0.933598	−	0.358323i	$-0.883349\pi$
$167$	0.417609	−	1.28527i	0.0323156	−	0.0994571i	0.965913	+	0.258866i	$0.0833487\pi$
$168$	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	−0.994138	−	0.108116i	$-0.965518\pi$
$173$	−15.7641	+	11.4533i	−1.19852	+	0.870776i	−0.204381	+	0.978891i	$0.565518\pi$
$174$	−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	−0.126887	−	0.991917i	$-0.540499\pi$
$179$	10.3992	−	7.55545i	0.777272	−	0.564721i	0.904159	+	0.427196i	$0.140499\pi$
$180$	−0.230980	−	0.167817i	−0.0172162	−	0.0125083i
$181$	4.44209	+	13.6714i	0.330178	+	1.01618i	0.969049	+	0.246869i	$0.0794019\pi$
$181$	4.44209	+	13.6714i	0.330178	+	1.01618i	−0.638871	+	0.769314i	$0.720598\pi$
$182$	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	0.994411	+	0.105581i	$0.0336702\pi$
$191$	19.3776	+	14.0786i	1.40211	+	1.01870i	0.407703	+	0.913115i	$0.366330\pi$
$192$	−2.30714	−	7.10065i	−0.166504	−	0.512445i
$193$	0.0431415	+	0.132776i	0.00310539	+	0.00955741i	0.952597	−	0.304234i	$-0.0984006\pi$
$193$	0.0431415	+	0.132776i	0.00310539	+	0.00955741i	−0.949492	+	0.313792i	$0.898401\pi$
$194$	−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	−0.570812	−	0.821080i	$-0.693372\pi$
$211$	5.42690	−	16.7023i	0.373603	−	1.14983i	0.944416	−	0.328753i	$-0.106628\pi$
$212$	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	−0.996386	−	0.0849449i	$-0.972929\pi$
$223$	−18.2707	+	13.2745i	−1.22350	+	0.888924i	−0.227113	+	0.973868i	$0.572929\pi$
$224$	−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	−0.187636	−	0.982239i	$-0.560083\pi$
$227$	−17.7752	−	12.9145i	−1.17978	−	0.857163i	−0.992147	+	0.125076i	$0.960083\pi$
$228$	0.0688326	−	0.0500098i	0.00455855	−	0.00331198i
$229$	7.22491	−	22.2360i	0.477435	−	1.46939i	−0.365210	−	0.930925i	$-0.619003\pi$
$229$	7.22491	−	22.2360i	0.477435	−	1.46939i	0.842645	−	0.538469i	$-0.180997\pi$
$230$	−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	−0.961060	−	0.276339i	$-0.910879\pi$
$233$	−0.322351	+	0.992094i	−0.0211179	+	0.0649942i	0.939942	+	0.341334i	$0.110879\pi$
$234$	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	−0.213511	−	0.976941i	$-0.568490\pi$
$239$	10.0431	−	7.29676i	0.649636	−	0.471988i	0.863147	+	0.504952i	$0.168490\pi$
$240$	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	−0.976537	−	0.215349i	$-0.930911\pi$
$251$	−0.949360	+	2.92183i	−0.0599231	+	0.184424i	0.916614	+	0.399773i	$0.130911\pi$
$252$	−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	0.571871	−	0.820344i	$-0.306218\pi$
$257$	−0.506660	−	0.368110i	−0.0316046	−	0.0229621i	−0.603475	+	0.797382i	$0.706218\pi$
$258$	−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	0.509749	+	0.860323i	$0.329738\pi$
$269$	9.89057	+	30.4400i	0.603039	+	1.85596i	0.0932899	+	0.995639i	$0.470262\pi$
$270$	−1.07392	−	3.30519i	−0.0653567	−	0.201147i
$271$	−4.81798	−	3.50047i	−0.292672	−	0.212638i	0.431754	−	0.901991i	$-0.357895\pi$
$271$	−4.81798	−	3.50047i	−0.292672	−	0.212638i	−0.724426	+	0.689353i	$0.757895\pi$
$272$	−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	−0.962217	−	0.272283i	$-0.912221\pi$
$277$	−0.394833	+	1.21517i	−0.0237232	+	0.0730126i	0.938494	+	0.345296i	$0.112221\pi$
$278$	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	0.901624	−	0.432522i	$-0.142376\pi$
$281$	−1.37516	−	4.23230i	−0.0820351	−	0.252478i	−0.983659	+	0.180044i	$0.942376\pi$
$282$	7.38705	+	5.36701i	0.439893	+	0.319601i
$283$	−18.4427	+	13.3994i	−1.09630	+	0.796512i	−0.980453	−	0.196755i	$-0.936960\pi$
$283$	−18.4427	+	13.3994i	−1.09630	+	0.796512i	−0.115852	+	0.993266i	$0.536960\pi$
$284$	−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	0.768194	−	0.640217i	$-0.221156\pi$
$293$	6.79036	+	4.93348i	0.396697	+	0.288217i	−0.371497	+	0.928434i	$0.621156\pi$
$294$	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	0.0668061	−	0.997766i	$-0.478719\pi$
$311$	18.2768	−	13.2789i	1.03638	−	0.752976i	0.969576	+	0.244790i	$0.0787191\pi$
$312$	2.01939	+	1.46718i	0.114326	+	0.0830625i
$313$	0.787589	+	2.42395i	0.0445172	+	0.137010i	0.970845	−	0.239709i	$-0.0770522\pi$
$313$	0.787589	+	2.42395i	0.0445172	+	0.137010i	−0.926328	+	0.376719i	$0.877052\pi$
$314$	−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	−0.179353	−	0.983785i	$-0.557401\pi$
$317$	9.68566	−	29.8094i	0.544001	−	1.67426i	0.723354	−	0.690477i	$-0.242599\pi$
$318$	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	0.0155765	−	0.999879i	$-0.495042\pi$
$337$	−17.0827	−	12.4113i	−0.930551	−	0.676085i	−0.946128	+	0.323794i	$0.895042\pi$
$338$	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	−0.999666	−	0.0258596i	$-0.991768\pi$
$347$	−3.83957	−	11.8170i	−0.206119	−	0.634369i	0.793547	−	0.608510i	$-0.208232\pi$
$348$	0.858043	+	0.623405i	0.0459959	+	0.0334180i
$349$	−13.7276	+	9.97368i	−0.734821	+	0.533879i	−0.891085	−	0.453836i	$-0.850055\pi$
$349$	−13.7276	+	9.97368i	−0.734821	+	0.533879i	0.156264	+	0.987715i	$0.450055\pi$
$350$	−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	0.999897	+	0.0143267i	$0.00456048\pi$
$359$	25.0580	+	18.2057i	1.32251	+	0.960858i	0.322611	+	0.946532i	$0.395440\pi$
$360$	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	0.231250	−	0.972894i	$-0.425719\pi$
$367$	−11.9267	−	8.66525i	−0.622568	−	0.452322i	−0.853818	+	0.520572i	$0.825719\pi$
$368$	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	0.993926	+	0.110051i	$0.0351014\pi$
$379$	4.95477	+	15.2492i	0.254509	+	0.783299i	−0.739417	+	0.673248i	$0.764899\pi$
$380$	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	−0.970789	−	0.239936i	$-0.922874\pi$
$383$	−0.868408	+	2.67268i	−0.0443736	+	0.136568i	0.926415	+	0.376503i	$0.122874\pi$
$384$	−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	0.923816	−	0.382837i	$-0.125053\pi$
$389$	16.6698	+	12.1113i	0.845191	+	0.614067i	−0.0786246	+	0.996904i	$0.525053\pi$
$390$	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	−0.961923	−	0.273320i	$-0.911878\pi$
$401$	−6.89590	−	21.2234i	−0.344365	−	1.05985i	0.617558	−	0.786525i	$-0.288122\pi$
$402$	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	−0.743425	−	0.668820i	$-0.766800\pi$
$409$	5.07901	−	15.6316i	0.251141	−	0.772932i	0.994566	−	0.104112i	$-0.0332002\pi$
$410$	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	−0.780031	−	0.625741i	$-0.784797\pi$
$421$	−8.73995	+	6.34994i	−0.425959	+	0.309477i	0.354072	+	0.935218i	$0.384797\pi$
$422$	−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	−0.506795	−	0.862067i	$-0.669170\pi$
$431$	8.51018	−	26.1916i	0.409921	−	1.26161i	0.916716	−	0.399540i	$-0.130830\pi$
$432$	−3.41802	+	2.48334i	−0.164450	+	0.119480i
$433$	−12.3456	−	8.96963i	−0.593293	−	0.431053i	0.250199	−	0.968194i	$-0.419504\pi$
$433$	−12.3456	−	8.96963i	−0.593293	−	0.431053i	−0.843492	+	0.537142i	$0.819504\pi$
$434$	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	−0.783859	−	0.620939i	$-0.786752\pi$
$443$	−9.16700	+	6.66021i	−0.435537	+	0.316436i	0.348322	+	0.937375i	$0.386752\pi$
$444$	−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	0.538838	+	0.842409i	$0.318863\pi$
$449$	−8.31156	+	25.5804i	−0.392247	+	1.20721i	−0.931085	+	0.364802i	$0.881137\pi$
$450$	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	−0.908845	−	0.417134i	$-0.863034\pi$
$457$	−8.95205	−	27.5516i	−0.418759	−	1.28881i	0.490086	−	0.871674i	$-0.336966\pi$
$458$	−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	0.904796	+	0.425845i	$0.140023\pi$
$467$	9.14340	+	28.1405i	0.423106	+	1.30219i	−0.481690	+	0.876342i	$0.659977\pi$
$468$	−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	0.853199	−	0.521586i	$-0.174659\pi$
$479$	−3.14358	−	9.67494i	−0.143634	−	0.442059i	−0.996833	+	0.0795262i	$0.974659\pi$
$480$	−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	−0.734562	+	0.678542i	$0.762612\pi$
$487$	−35.4609	+	25.7638i	−1.60689	+	1.16747i	−0.872324	+	0.488929i	$0.837388\pi$
$488$	−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	0.181209	−	0.983445i	$-0.441999\pi$
$491$	−15.4690	−	11.2389i	−0.698106	−	0.507204i	−0.879315	+	0.476241i	$0.841999\pi$
$492$	−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	0.151107	−	0.988517i	$-0.451716\pi$
$499$	−16.5825	−	12.0479i	−0.742335	−	0.539338i	−0.893441	+	0.449180i	$0.851716\pi$
$500$	−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	−0.874891	−	0.484320i	$-0.839067\pi$
$503$	−15.3547	+	11.1558i	−0.684632	+	0.497414i	0.190259	+	0.981734i	$0.439067\pi$
$504$	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	−0.923666	−	0.383198i	$-0.874823\pi$
$509$	−19.0562	+	13.8451i	−0.844652	+	0.613675i	0.0790145	+	0.996873i	$0.474823\pi$
$510$	−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	0.674332	−	0.738428i	$-0.264432\pi$
$521$	4.11827	+	2.99210i	0.180425	+	0.131086i	−0.493907	+	0.869515i	$0.664432\pi$
$522$	3.98940	+	12.2781i	0.174611	+	0.537398i
$523$	7.03841	+	21.6620i	0.307768	+	0.947213i	0.978630	+	0.205631i	$0.0659245\pi$
$523$	7.03841	+	21.6620i	0.307768	+	0.947213i	−0.670861	+	0.741583i	$0.734075\pi$
$524$	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	−0.997846	−	0.0656062i	$-0.979102\pi$
$541$	−3.53564	+	10.8816i	−0.152009	+	0.467836i	0.845836	+	0.533442i	$0.179102\pi$
$542$	−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	−0.651515	−	0.758636i	$-0.725866\pi$
$547$	−3.07176	+	2.23176i	−0.131339	+	0.0954234i	0.520176	+	0.854059i	$0.325866\pi$
$548$	−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	0.645983	−	0.763352i	$-0.276448\pi$
$557$	2.82296	+	2.05100i	0.119613	+	0.0869037i	−0.526371	+	0.850255i	$0.676448\pi$
$558$	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	0.582100	+	0.813117i	$0.302231\pi$
$563$	−8.70251	+	26.7836i	−0.366767	+	1.12879i	−0.948867	+	0.315676i	$0.897769\pi$
$564$	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	−0.890370	−	0.455238i	$-0.849554\pi$
$569$	−17.4741	+	12.6957i	−0.732552	+	0.532230i	0.157818	+	0.987468i	$0.449554\pi$
$570$	−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	0.978361	−	0.206906i	$-0.0663396\pi$
$577$	1.56697	+	4.82263i	0.0652337	+	0.200769i	−0.913127	+	0.407675i	$0.866340\pi$
$578$	−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	0.986091	+	0.166207i	$0.0531518\pi$
$587$	35.1036	+	25.5043i	1.44888	+	1.05267i	0.462791	+	0.886468i	$0.346848\pi$
$588$	−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	−0.987825	−	0.155571i	$-0.950278\pi$
$599$	−6.85530	−	21.0984i	−0.280100	−	0.862059i	0.707725	−	0.706488i	$-0.249722\pi$
$600$	0.590516	+	1.81742i	0.0241077	+	0.0741959i
$601$	−26.0651	−	18.9374i	−1.06322	−	0.772471i	−0.0885351	−	0.996073i	$-0.528219\pi$
$601$	−26.0651	−	18.9374i	−1.06322	−	0.772471i	−0.974681	+	0.223602i	$0.928219\pi$
$602$	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	−0.560968	−	0.827837i	$-0.689571\pi$
$607$	9.34878	−	28.7726i	0.379455	−	1.16784i	0.940423	−	0.340006i	$-0.110429\pi$
$608$	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	−0.517228	−	0.855847i	$-0.673036\pi$
$613$	3.38945	−	2.46258i	0.136899	−	0.0994627i	0.654127	+	0.756385i	$0.273036\pi$
$614$	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	0.616356	−	0.787468i	$-0.288608\pi$
$619$	38.7065	−	28.1219i	1.55575	−	1.13032i	0.939391	−	0.342849i	$-0.111392\pi$
$620$	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	0.521218	−	0.853423i	$-0.325478\pi$
$631$	−3.24975	−	2.36108i	−0.129371	−	0.0939932i	−0.650589	+	0.759430i	$0.725478\pi$
$632$	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	−0.934480	−	0.356015i	$-0.884135\pi$
$641$	−22.3978	+	16.2730i	−0.884661	+	0.642744i	0.0498197	+	0.998758i	$0.484135\pi$
$642$	0.333432	+	0.242253i	0.0131595	+	0.00956095i
$643$	−1.31577	−	4.04952i	−0.0518888	−	0.159697i	0.921754	−	0.387775i	$-0.126756\pi$
$643$	−1.31577	−	4.04952i	−0.0518888	−	0.159697i	−0.973643	+	0.228077i	$0.926756\pi$
$644$	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	−0.914128	−	0.405426i	$-0.867123\pi$
$647$	1.62080	−	4.98832i	0.0637203	−	0.196111i	0.977848	+	0.209315i	$0.0671233\pi$
$648$	−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	0.732513	−	0.680753i	$-0.238347\pi$
$653$	7.95843	+	5.78214i	0.311437	+	0.226273i	−0.421076	+	0.907026i	$0.638347\pi$
$654$	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	0.732176	+	0.681115i	$0.238505\pi$
$673$	−6.75838	+	20.8001i	−0.260516	+	0.801787i	−0.992693	+	0.120671i	$0.961495\pi$
$674$	−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	0.825351	−	0.564620i	$-0.190977\pi$
$677$	−4.53378	−	13.9535i	−0.174247	−	0.536278i	−0.999598	+	0.0283421i	$0.990977\pi$
$678$	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	0.272449	+	0.962170i	$0.412166\pi$
$691$	−13.4987	+	41.5449i	−0.513516	+	1.58044i	−0.785965	+	0.618271i	$0.787834\pi$
$692$	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	−0.224303	−	0.974519i	$-0.572011\pi$
$701$	16.7650	−	12.1805i	0.633207	−	0.460052i	0.857510	+	0.514468i	$0.172011\pi$
$702$	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	−0.998469	−	0.0553137i	$-0.982384\pi$
$709$	−5.94324	−	18.2914i	−0.223203	−	0.686949i	0.775266	−	0.631635i	$-0.217616\pi$
$710$	−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	0.665839	−	0.746096i	$-0.268074\pi$
$719$	4.34430	+	3.15632i	0.162015	+	0.117711i	−0.503824	+	0.863806i	$0.668074\pi$
$720$	−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	0.161668	−	0.986845i	$-0.448312\pi$
$733$	−19.6806	−	14.2988i	−0.726919	−	0.528137i	−0.888587	+	0.458708i	$0.848312\pi$
$734$	−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	0.783478	+	0.621420i	$0.213444\pi$
$739$	−5.86182	+	18.0408i	−0.215630	+	0.663642i	−0.999108	+	0.0422224i	$0.986556\pi$
$740$	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	−0.999999	−	0.00102754i	$-0.999673\pi$
$743$	−5.22228	−	16.0725i	−0.191587	−	0.589644i	0.808413	−	0.588616i	$-0.200327\pi$
$744$	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	−0.202010	−	0.979383i	$-0.564747\pi$
$751$	18.2791	−	13.2805i	0.667014	−	0.484614i	0.869024	+	0.494769i	$0.164747\pi$
$752$	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	−0.926918	−	0.375264i	$-0.877552\pi$
$757$	1.19820	−	3.68767i	0.0435492	−	0.134031i	0.970467	+	0.241234i	$0.0775520\pi$
$758$	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	−0.488449	−	0.872592i	$-0.662437\pi$
$761$	11.5755	−	35.6257i	0.419611	−	1.29143i	0.908061	−	0.418839i	$-0.137563\pi$
$762$	−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	−0.711450	−	0.702737i	$-0.751961\pi$
$773$	−7.31097	+	5.31173i	−0.262957	+	0.191050i	0.448492	+	0.893787i	$0.351961\pi$
$774$	−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	−0.947725	−	0.319087i	$-0.896624\pi$
$787$	−10.3392	−	31.8209i	−0.368554	−	1.13429i	0.579171	−	0.815206i	$-0.303376\pi$
$788$	−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	0.955162	−	0.296083i	$-0.0956805\pi$
$797$	0.236759	+	0.728670i	0.00838644	+	0.0258108i	−0.946776	+	0.321894i	$0.895681\pi$
$798$	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	0.879970	−	0.475029i	$-0.157562\pi$
$809$	−3.16159	−	9.73039i	−0.111156	−	0.342102i	−0.991126	+	0.132927i	$0.957562\pi$
$810$	−2.81156	−	2.04272i	−0.0987882	−	0.0717738i
$811$	−8.42960	+	6.12446i	−0.296003	+	0.215059i	−0.725867	−	0.687835i	$-0.758561\pi$
$811$	−8.42960	+	6.12446i	−0.296003	+	0.215059i	0.429864	+	0.902894i	$0.358561\pi$
$812$	−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	0.122489	−	0.992470i	$-0.460912\pi$
$821$	−22.4513	−	16.3118i	−0.783555	−	0.569286i	−0.906044	+	0.423184i	$0.860912\pi$
$822$	−2.41162	+	1.75214i	−0.0841148	+	0.0611130i
$823$	−5.79157	+	17.8246i	−0.201881	+	0.621327i	0.797946	+	0.602729i	$0.205920\pi$
$823$	−5.79157	+	17.8246i	−0.201881	+	0.621327i	−0.999827	+	0.0185975i	$0.994080\pi$
$824$	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	−0.0582861	+	0.998300i	$0.518564\pi$
$827$	−17.1947	+	52.9198i	−0.597918	+	1.84020i	−0.539631	+	0.841901i	$0.681436\pi$
$828$	0.755207	−	0.548690i	0.0262453	−	0.0190683i
$829$	30.3867	+	22.0772i	1.05537	+	0.766774i	0.973227	−	0.229846i	$-0.0738222\pi$
$829$	30.3867	+	22.0772i	1.05537	+	0.766774i	0.0821472	+	0.996620i	$0.473822\pi$
$830$	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	0.249960	−	0.968256i	$-0.419583\pi$
$839$	36.1509	−	26.2652i	1.24807	−	0.906774i	0.998108	+	0.0614819i	$0.0195827\pi$
$840$	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	0.581751	+	0.813367i	$0.302368\pi$
$853$	17.2080	+	52.9607i	0.589190	+	1.81334i	0.00743815	+	0.999972i	$0.497632\pi$
$854$	−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	0.924527	−	0.381117i	$-0.124461\pi$
$863$	−1.39382	−	4.28973i	−0.0474461	−	0.146024i	−0.971973	+	0.235093i	$0.924461\pi$
$864$	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	0.0268532	−	0.999639i	$-0.491451\pi$
$877$	29.1956	−	21.2118i	0.985865	−	0.716273i	0.959012	+	0.283367i	$0.0914513\pi$
$878$	−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	−0.453001	−	0.891510i	$-0.649647\pi$
$883$	7.57416	−	5.50295i	0.254891	−	0.185189i	0.707892	+	0.706321i	$0.249647\pi$
$884$	−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	0.714245	−	0.699896i	$-0.246770\pi$
$887$	8.02099	+	5.82759i	0.269318	+	0.195671i	−0.444927	+	0.895567i	$0.646770\pi$
$888$	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	0.853290	−	0.521436i	$-0.174604\pi$
$907$	−4.32258	−	13.3035i	−0.143529	−	0.441736i	−0.996819	+	0.0797004i	$0.974604\pi$
$908$	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	0.710886	+	0.703308i	$0.248294\pi$
$911$	−8.37955	+	25.7896i	−0.277627	+	0.854447i	−0.988512	+	0.151140i	$0.951706\pi$
$912$	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	0.971088	−	0.238720i	$-0.0767279\pi$
$919$	1.36858	+	4.21204i	0.0451452	+	0.138943i	−0.925943	+	0.377663i	$0.876728\pi$
$920$	−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	−0.634099	−	0.773252i	$-0.718629\pi$
$929$	−17.5442	−	53.9956i	−0.575608	−	1.77154i	0.0584913	−	0.998288i	$-0.481371\pi$
$930$	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	−0.964445	−	0.264282i	$-0.914865\pi$
$937$	−0.883162	+	2.71809i	−0.0288517	+	0.0887963i	0.935594	+	0.353078i	$0.114865\pi$
$938$	−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	0.995750	+	0.0920938i	$0.0293560\pi$
$941$	7.49416	+	23.0647i	0.244303	+	0.751887i	−0.751448	+	0.659793i	$0.770644\pi$
$942$	−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	0.959538	−	0.281578i	$-0.0908580\pi$
$953$	30.5081	+	22.1654i	0.988255	+	0.718009i	0.0287166	+	0.999588i	$0.490858\pi$
$954$	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	−0.135071	−	0.990836i	$-0.543126\pi$
$971$	23.8546	−	17.3314i	0.765530	−	0.556190i	0.900602	+	0.434646i	$0.143126\pi$
$972$	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	−0.926042	−	0.377421i	$-0.876811\pi$
$977$	1.40608	−	4.32746i	0.0449844	−	0.138448i	0.971026	+	0.238973i	$0.0768109\pi$
$978$	−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	0.951762	−	0.306837i	$-0.0992708\pi$
$983$	29.9123	+	21.7325i	0.954053	+	0.693160i	0.00229090	+	0.999997i	$0.499271\pi$
$984$	−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	0.621272	−	0.783595i	$-0.286616\pi$
$997$	2.14749	+	1.56024i	0.0680117	+	0.0494134i	−0.553260	+	0.833009i	$0.686616\pi$
$998$	−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.64.2	✓	8
3.2	odd	2		693.2.m.f.64.1		8
11.4	even	5		2541.2.a.bn.1.3		4
11.5	even	5	inner	231.2.j.f.148.2	yes	8
11.7	odd	10		2541.2.a.bm.1.2		4
33.5	odd	10		693.2.m.f.379.1		8
33.26	odd	10		7623.2.a.ci.1.2		4
33.29	even	10		7623.2.a.cl.1.3		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
231.2.j.f.64.2	✓	8	1.1	even	1	trivial
231.2.j.f.148.2	yes	8	11.5	even	5	inner
693.2.m.f.64.1		8	3.2	odd	2
693.2.m.f.379.1		8	33.5	odd	10
2541.2.a.bm.1.2		4	11.7	odd	10
2541.2.a.bn.1.3		4	11.4	even	5
7623.2.a.ci.1.2		4	33.26	odd	10
7623.2.a.cl.1.3		4	33.29	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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