LMFDB - Embedded newform 504.2.w.a.205.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.w (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			205.15
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22663 - 0.703825i) q^{2} +(-0.0860069 + 1.72991i) q^{3} +(1.00926 + 1.72667i) q^{4} +0.633242i q^{5} +(1.32306 - 2.06144i) q^{6} +(-2.18459 - 1.49250i) q^{7} +(-0.0227161 - 2.82834i) q^{8} +(-2.98521 - 0.297569i) q^{9} +O(q^{10})$	\(q+(-1.22663 - 0.703825i) q^{2} +(-0.0860069 + 1.72991i) q^{3} +(1.00926 + 1.72667i) q^{4} +0.633242i q^{5} +(1.32306 - 2.06144i) q^{6} +(-2.18459 - 1.49250i) q^{7} +(-0.0227161 - 2.82834i) q^{8} +(-2.98521 - 0.297569i) q^{9} +(0.445692 - 0.776756i) q^{10} -4.43211i q^{11} +(-3.07380 + 1.59743i) q^{12} +(1.86711 - 1.07798i) q^{13} +(1.62924 + 3.36832i) q^{14} +(-1.09545 - 0.0544632i) q^{15} +(-1.96279 + 3.48532i) q^{16} +(-3.66148 - 6.34187i) q^{17} +(3.45232 + 2.46607i) q^{18} +(0.442458 + 0.255453i) q^{19} +(-1.09340 + 0.639106i) q^{20} +(2.76978 - 3.65080i) q^{21} +(-3.11943 + 5.43657i) q^{22} +2.55071 q^{23} +(4.89473 + 0.203959i) q^{24} +4.59900 q^{25} +(-3.04896 + 0.00816254i) q^{26} +(0.771517 - 5.13856i) q^{27} +(0.372230 - 5.27839i) q^{28} +(6.65317 + 3.84121i) q^{29} +(1.30539 + 0.837815i) q^{30} +(-1.86386 + 3.22831i) q^{31} +(4.86068 - 2.89375i) q^{32} +(7.66716 + 0.381192i) q^{33} +(0.0277251 + 10.3562i) q^{34} +(0.945112 - 1.38338i) q^{35} +(-2.49904 - 5.45479i) q^{36} +(5.17717 + 2.98904i) q^{37} +(-0.362939 - 0.624761i) q^{38} +(1.70422 + 3.32265i) q^{39} +(1.79102 - 0.0143848i) q^{40} +(-3.77628 - 6.54071i) q^{41} +(-5.96703 + 2.52874i) q^{42} +(-6.32052 - 3.64915i) q^{43} +(7.65279 - 4.47315i) q^{44} +(0.188433 - 1.89036i) q^{45} +(-3.12879 - 1.79526i) q^{46} +(-5.16000 - 8.93739i) q^{47} +(-5.86049 - 3.69522i) q^{48} +(2.54490 + 6.52100i) q^{49} +(-5.64129 - 3.23690i) q^{50} +(11.2858 - 5.78860i) q^{51} +(3.74571 + 2.13593i) q^{52} +(3.93547 - 2.27215i) q^{53} +(-4.56302 + 5.76011i) q^{54} +2.80660 q^{55} +(-4.17166 + 6.21267i) q^{56} +(-0.479967 + 0.743443i) q^{57} +(-5.45746 - 9.39443i) q^{58} +(-10.3732 - 5.98894i) q^{59} +(-1.01156 - 1.94646i) q^{60} +(-0.723518 + 0.417723i) q^{61} +(4.55844 - 2.64811i) q^{62} +(6.07734 + 5.10548i) q^{63} +(-7.99897 + 0.128497i) q^{64} +(0.682620 + 1.18233i) q^{65} +(-9.13651 - 5.86393i) q^{66} +(-3.66840 - 2.11795i) q^{67} +(7.25494 - 12.7228i) q^{68} +(-0.219379 + 4.41251i) q^{69} +(-2.13296 + 1.03170i) q^{70} -8.90812 q^{71} +(-0.773813 + 8.44992i) q^{72} +(-2.36278 - 4.09245i) q^{73} +(-4.24672 - 7.31028i) q^{74} +(-0.395546 + 7.95588i) q^{75} +(0.00547106 + 1.02180i) q^{76} +(-6.61491 + 9.68235i) q^{77} +(0.248111 - 5.27515i) q^{78} +(-4.97267 - 8.61292i) q^{79} +(-2.20705 - 1.24292i) q^{80} +(8.82291 + 1.77661i) q^{81} +(0.0285944 + 10.6809i) q^{82} +(12.5474 + 7.24423i) q^{83} +(9.09915 + 1.09790i) q^{84} +(4.01594 - 2.31860i) q^{85} +(5.18459 + 8.92471i) q^{86} +(-7.21718 + 11.1790i) q^{87} +(-12.5355 + 0.100680i) q^{88} +(-0.546487 + 0.946543i) q^{89} +(-1.56162 + 2.18615i) q^{90} +(-5.68775 - 0.431715i) q^{91} +(2.57433 + 4.40424i) q^{92} +(-5.42439 - 3.50198i) q^{93} +(0.0390721 + 14.5946i) q^{94} +(-0.161764 + 0.280183i) q^{95} +(4.58788 + 8.65744i) q^{96} +(6.86009 - 11.8820i) q^{97} +(1.46798 - 9.79005i) q^{98} +(-1.31886 + 13.2307i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.22663	−	0.703825i	−0.867361	−	0.497680i
$2$	−1.22663	−	0.703825i	−0.867361	−	0.497680i
$3$	−0.0860069	+	1.72991i	−0.0496561	+	0.998766i
$3$	−0.0860069	+	1.72991i	−0.0496561	+	0.998766i
$4$	1.00926	+	1.72667i	0.504630	+	0.863336i
$5$			0.633242i			0.283194i	0.989924	+	0.141597i	$0.0452238\pi$
$5$			0.633242i			0.283194i	−0.989924	+	0.141597i	$0.954776\pi$
$6$	1.32306	−	2.06144i	0.540136	−	0.841578i
$7$	−2.18459	−	1.49250i	−0.825699	−	0.564111i
$7$	−2.18459	−	1.49250i	−0.825699	−	0.564111i
$8$	−0.0227161	−	2.82834i	−0.00803135	−	0.999968i
$9$	−2.98521	−	0.297569i	−0.995069	−	0.0991897i
$10$	0.445692	−	0.776756i	0.140940	−	0.245632i
$11$		−	4.43211i		−	1.33633i	−0.744013	−	0.668165i	$-0.767080\pi$
$11$		−	4.43211i		−	1.33633i	0.744013	−	0.668165i	$-0.232920\pi$
$12$	−3.07380	+	1.59743i	−0.887329	+	0.461137i
$13$	1.86711	−	1.07798i	0.517843	−	0.298977i	−0.218209	−	0.975902i	$-0.570021\pi$
$13$	1.86711	−	1.07798i	0.517843	−	0.298977i	0.736052	+	0.676925i	$0.236688\pi$
$14$	1.62924	+	3.36832i	0.435432	+	0.900221i
$15$	−1.09545	−	0.0544632i	−0.282845	−	0.0140623i
$16$	−1.96279	+	3.48532i	−0.490698	+	0.871330i
$17$	−3.66148	−	6.34187i	−0.888039	−	1.53813i	−0.842191	−	0.539180i	$-0.818734\pi$
$17$	−3.66148	−	6.34187i	−0.888039	−	1.53813i	−0.0458484	−	0.998948i	$-0.514599\pi$
$18$	3.45232	+	2.46607i	0.813719	+	0.581259i
$19$	0.442458	+	0.255453i	0.101507	+	0.0586050i	0.549894	−	0.835234i	$-0.314668\pi$
$19$	0.442458	+	0.255453i	0.101507	+	0.0586050i	−0.448387	+	0.893839i	$0.648001\pi$
$20$	−1.09340	+	0.639106i	−0.244492	+	0.142908i
$21$	2.76978	−	3.65080i	0.604416	−	0.796669i
$22$	−3.11943	+	5.43657i	−0.665065	+	1.15908i
$23$	2.55071			0.531860			0.265930	−	0.963992i	$-0.414321\pi$
$23$	2.55071			0.531860			0.265930	+	0.963992i	$0.414321\pi$
$24$	4.89473	+	0.203959i	0.999133	+	0.0416330i
$25$	4.59900			0.919801
$26$	−3.04896	+	0.00816254i	−0.597951	+	0.00160081i
$27$	0.771517	−	5.13856i	0.148479	−	0.988916i
$28$	0.372230	−	5.27839i	0.0703449	−	0.997523i
$29$	6.65317	+	3.84121i	1.23546	+	0.713295i	0.968163	−	0.250319i	$-0.0805354\pi$
$29$	6.65317	+	3.84121i	1.23546	+	0.713295i	0.267299	+	0.963614i	$0.413869\pi$
$30$	1.30539	+	0.837815i	0.238330	+	0.152963i
$31$	−1.86386	+	3.22831i	−0.334760	+	0.579821i	−0.983439	−	0.181241i	$-0.941989\pi$
$31$	−1.86386	+	3.22831i	−0.334760	+	0.579821i	0.648679	+	0.761062i	$0.275322\pi$
$32$	4.86068	−	2.89375i	0.859255	−	0.511547i
$33$	7.66716	+	0.381192i	1.33468	+	0.0663569i
$34$	0.0277251	+	10.3562i	0.00475481	+	1.77607i
$35$	0.945112	−	1.38338i	0.159753	−	0.233833i
$36$	−2.49904	−	5.45479i	−0.416507	−	0.909132i
$37$	5.17717	+	2.98904i	0.851121	+	0.491395i	0.861029	−	0.508556i	$-0.169821\pi$
$37$	5.17717	+	2.98904i	0.851121	+	0.491395i	−0.00990793	+	0.999951i	$0.503154\pi$
$38$	−0.362939	−	0.624761i	−0.0588765	−	0.101350i
$39$	1.70422	+	3.32265i	0.272894	+	0.532050i
$40$	1.79102	−	0.0143848i	0.283185	−	0.00227443i
$41$	−3.77628	−	6.54071i	−0.589756	−	1.02149i	−0.994264	−	0.106953i	$-0.965891\pi$
$41$	−3.77628	−	6.54071i	−0.589756	−	1.02149i	0.404508	−	0.914534i	$-0.367443\pi$
$42$	−5.96703	+	2.52874i	−0.920733	+	0.390194i
$43$	−6.32052	−	3.64915i	−0.963870	−	0.556491i	−0.0665080	−	0.997786i	$-0.521186\pi$
$43$	−6.32052	−	3.64915i	−0.963870	−	0.556491i	−0.897362	+	0.441295i	$0.854519\pi$
$44$	7.65279	−	4.47315i	1.15370	−	0.674352i
$45$	0.188433	−	1.89036i	0.0280900	−	0.281798i
$46$	−3.12879	−	1.79526i	−0.461315	−	0.264696i
$47$	−5.16000	−	8.93739i	−0.752664	−	1.30365i	−0.946527	−	0.322623i	$-0.895435\pi$
$47$	−5.16000	−	8.93739i	−0.752664	−	1.30365i	0.193864	−	0.981028i	$-0.437898\pi$
$48$	−5.86049	−	3.69522i	−0.845889	−	0.533359i
$49$	2.54490	+	6.52100i	0.363558	+	0.931572i
$50$	−5.64129	−	3.23690i	−0.797799	−	0.457766i
$51$	11.2858	−	5.78860i	1.58033	−	0.810566i
$52$	3.74571	+	2.13593i	0.519436	+	0.296200i
$53$	3.93547	−	2.27215i	0.540579	−	0.312103i	−0.204735	−	0.978817i	$-0.565633\pi$
$53$	3.93547	−	2.27215i	0.540579	−	0.312103i	0.745313	+	0.666714i	$0.232300\pi$
$54$	−4.56302	+	5.76011i	−0.620948	+	0.783852i
$55$	2.80660			0.378441
$56$	−4.17166	+	6.21267i	−0.557461	+	0.830203i
$57$	−0.479967	+	0.743443i	−0.0635731	+	0.0984715i
$58$	−5.45746	−	9.39443i	−0.716600	−	1.23355i
$59$	−10.3732	−	5.98894i	−1.35047	−	0.779694i	−0.362154	−	0.932118i	$-0.617959\pi$
$59$	−10.3732	−	5.98894i	−1.35047	−	0.779694i	−0.988315	+	0.152424i	$0.951292\pi$
$60$	−1.01156	−	1.94646i	−0.130592	−	0.251287i
$61$	−0.723518	+	0.417723i	−0.0926370	+	0.0534840i	−0.545603	−	0.838044i	$-0.683699\pi$
$61$	−0.723518	+	0.417723i	−0.0926370	+	0.0534840i	0.452966	+	0.891528i	$0.350366\pi$
$62$	4.55844	−	2.64811i	0.578923	−	0.336311i
$63$	6.07734	+	5.10548i	0.765673	+	0.643230i
$64$	−7.99897	+	0.128497i	−0.999871	+	0.0160622i
$65$	0.682620	+	1.18233i	0.0846685	+	0.146650i
$66$	−9.13651	−	5.86393i	−1.12463	−	0.721800i
$67$	−3.66840	−	2.11795i	−0.448167	−	0.258749i	0.258889	−	0.965907i	$-0.416644\pi$
$67$	−3.66840	−	2.11795i	−0.448167	−	0.258749i	−0.707056	+	0.707158i	$0.749977\pi$
$68$	7.25494	−	12.7228i	0.879791	−	1.54286i
$69$	−0.219379	+	4.41251i	−0.0264101	+	0.531204i
$70$	−2.13296	+	1.03170i	−0.254938	+	0.123312i
$71$	−8.90812			−1.05720			−0.528600	−	0.848871i	$-0.677283\pi$
$71$	−8.90812			−1.05720			−0.528600	+	0.848871i	$0.677283\pi$
$72$	−0.773813	+	8.44992i	−0.0911947	+	0.995833i
$73$	−2.36278	−	4.09245i	−0.276542	−	0.478985i	0.693981	−	0.719993i	$-0.255855\pi$
$73$	−2.36278	−	4.09245i	−0.276542	−	0.478985i	−0.970523	+	0.241008i	$0.922522\pi$
$74$	−4.24672	−	7.31028i	−0.493672	−	0.849802i
$75$	−0.395546	+	7.95588i	−0.0456737	+	0.918666i
$76$	0.00547106	+	1.02180i	0.000627573	+	0.117208i
$77$	−6.61491	+	9.68235i	−0.753839	+	1.10341i
$78$	0.248111	−	5.27515i	0.0280931	−	0.597293i
$79$	−4.97267	−	8.61292i	−0.559469	−	0.969029i	−0.997541	−	0.0700890i	$-0.977672\pi$
$79$	−4.97267	−	8.61292i	−0.559469	−	0.969029i	0.438072	−	0.898940i	$-0.355662\pi$
$80$	−2.20705	−	1.24292i	−0.246756	−	0.138963i
$81$	8.82291	+	1.77661i	0.980323	+	0.197401i
$82$	0.0285944	+	10.6809i	0.00315772	+	1.17951i
$83$	12.5474	+	7.24423i	1.37725	+	0.795158i	0.991828	−	0.127582i	$-0.0407215\pi$
$83$	12.5474	+	7.24423i	1.37725	+	0.795158i	0.385425	+	0.922739i	$0.374055\pi$
$84$	9.09915	+	1.09790i	0.992799	+	0.119791i
$85$	4.01594	−	2.31860i	0.435589	−	0.251488i
$86$	5.18459	+	8.92471i	0.559069	+	0.962377i
$87$	−7.21718	+	11.1790i	−0.773763	+	1.19852i
$88$	−12.5355	+	0.100680i	−1.33629	+	0.0107325i
$89$	−0.546487	+	0.946543i	−0.0579275	+	0.100333i	−0.893535	−	0.448994i	$-0.851783\pi$
$89$	−0.546487	+	0.946543i	−0.0579275	+	0.100333i	0.835607	+	0.549327i	$0.185116\pi$
$90$	−1.56162	+	2.18615i	−0.164609	+	0.230441i
$91$	−5.68775	−	0.431715i	−0.596238	−	0.0452560i
$92$	2.57433	+	4.40424i	0.268392	+	0.459174i
$93$	−5.42439	−	3.50198i	−0.562483	−	0.363139i
$94$	0.0390721	+	14.5946i	0.00402998	+	1.50532i
$95$	−0.161764	+	0.280183i	−0.0165966	+	0.0287462i
$96$	4.58788	+	8.65744i	0.468249	+	0.883597i
$97$	6.86009	−	11.8820i	0.696536	−	1.20644i	−0.273124	−	0.961979i	$-0.588057\pi$
$97$	6.86009	−	11.8820i	0.696536	−	1.20644i	0.969660	−	0.244457i	$-0.0786098\pi$
$98$	1.46798	−	9.79005i	0.148289	−	0.988944i
$99$	−1.31886	+	13.2307i	−0.132550	+	1.32974i
$100$	4.64159	+	7.94097i	0.464159	+	0.794097i
$101$			4.27976i			0.425852i	0.977068	+	0.212926i	$0.0682993\pi$
$101$			4.27976i			0.425852i	−0.977068	+	0.212926i	$0.931701\pi$
$102$	−17.9177	−	0.842741i	−1.77412	−	0.0834438i
$103$	−1.39783			−0.137732			−0.0688662	−	0.997626i	$-0.521938\pi$
$103$	−1.39783			−0.137732			−0.0688662	+	0.997626i	$0.521938\pi$
$104$	−3.09129	−	5.25632i	−0.303126	−	0.515425i
$105$	2.31184	+	1.75394i	0.225612	+	0.171167i
$106$	−6.42657	+	0.0172049i	−0.624204	+	0.00167109i
$107$	2.54674	+	1.47036i	0.246203	+	0.142145i	0.618024	−	0.786159i	$-0.287933\pi$
$107$	2.54674	+	1.47036i	0.246203	+	0.142145i	−0.371821	+	0.928304i	$0.621267\pi$
$108$	9.65126	−	3.85398i	0.928693	−	0.370849i
$109$	11.7515	−	6.78472i	1.12559	−	0.649858i	0.182766	−	0.983156i	$-0.441495\pi$
$109$	11.7515	−	6.78472i	1.12559	−	0.649858i	0.942821	+	0.333298i	$0.108162\pi$
$110$	−3.44266	−	1.97535i	−0.328245	−	0.188343i
$111$	−5.61605	+	8.69898i	−0.533052	+	0.825670i
$112$	9.48973	−	4.68455i	0.896695	−	0.442648i
$113$	−5.54643	−	9.60669i	−0.521764	−	0.903722i	−0.999680	−	0.0253159i	$-0.991941\pi$
$113$	−5.54643	−	9.60669i	−0.521764	−	0.903722i	0.477916	−	0.878406i	$-0.341392\pi$
$114$	1.11200	−	0.574120i	0.104148	−	0.0537713i
$115$			1.61522i			0.150620i
$116$	0.0822674	+	15.3646i	0.00763834	+	1.42657i
$117$	−5.89448	+	2.66239i	−0.544944	+	0.246138i
$118$	8.50889	+	14.6471i	0.783307	+	1.34838i
$119$	−1.46637	+	19.3192i	−0.134422	+	1.77098i
$120$	−0.129156	+	3.09955i	−0.0117902	+	0.282949i
$121$	−8.64357			−0.785779
$122$	1.18150	−	0.00316304i	0.106968	−	0.000286369i
$123$	11.6397	−	5.97009i	1.04951	−	0.538305i
$124$	−7.45535	+	0.0399185i	−0.669510	+	0.00358479i
$125$			6.07849i			0.543677i
$126$	−3.86131	−	10.5399i	−0.343992	−	0.938972i
$127$	12.7089			1.12773			0.563867	−	0.825866i	$-0.309313\pi$
$127$	12.7089			1.12773			0.563867	+	0.825866i	$0.309313\pi$
$128$	9.90224	+	5.47226i	0.875243	+	0.483684i
$129$	6.85633	−	10.6201i	0.603666	−	0.935048i
$130$	−0.00516887	−	1.93073i	−0.000453340	−	0.169336i
$131$			2.76462i			0.241546i	0.992680	+	0.120773i	$0.0385373\pi$
$131$			2.76462i			0.241546i	−0.992680	+	0.120773i	$0.961463\pi$
$132$	7.07996	+	13.6234i	0.616232	+	1.18576i
$133$	−0.585328	−	1.21843i	−0.0507544	−	0.105651i
$134$	3.00912	+	5.17987i	0.259948	+	0.447473i
$135$	3.25395	+	0.488557i	0.280055	+	0.0420483i
$136$	−17.8538	+	10.5000i	−1.53095	+	0.900364i
$137$	3.44787			0.294571			0.147286	−	0.989094i	$-0.452946\pi$
$137$	3.44787			0.294571			0.147286	+	0.989094i	$0.452946\pi$
$138$	3.37474	−	5.25813i	0.287277	−	0.447602i
$139$	1.32105	−	0.762708i	0.112050	−	0.0646920i	−0.442928	−	0.896557i	$-0.646060\pi$
$139$	1.32105	−	0.762708i	0.112050	−	0.0646920i	0.554978	+	0.831865i	$0.312727\pi$
$140$	3.34250	+	0.235712i	0.282493	+	0.0199213i
$141$	15.9047	−	8.15768i	1.33942	−	0.687001i
$142$	10.9270	+	6.26976i	0.916974	+	0.526147i
$143$	−4.77770	−	8.27522i	−0.399532	−	0.692009i
$144$	6.89646	−	9.82033i	0.574705	−	0.818361i
$145$	−2.43242	+	4.21307i	−0.202001	+	0.349876i
$146$	0.0178912	+	6.68292i	0.00148069	+	0.553082i
$147$	−11.4997	+	3.84161i	−0.948475	+	0.316851i
$148$	0.0640164	+	11.9560i	0.00526212	+	0.982776i
$149$			14.0624i			1.15203i	0.817438	+	0.576016i	$0.195394\pi$
$149$			14.0624i			1.15203i	−0.817438	+	0.576016i	$0.804606\pi$
$150$	6.08474	−	9.48056i	0.496817	−	0.774084i
$151$	−8.17913			−0.665609			−0.332804	−	0.942996i	$-0.607995\pi$
$151$	−8.17913			−0.665609			−0.332804	+	0.942996i	$0.607995\pi$
$152$	0.712457	−	1.25722i	0.0577879	−	0.101974i
$153$	9.04312	+	20.0213i	0.731093	+	1.61863i
$154$	14.9288	−	7.22096i	1.20299	−	0.581882i
$155$	−2.04430	−	1.18028i	−0.164202	−	0.0948021i
$156$	−4.01713	+	6.29605i	−0.321627	+	0.504087i
$157$	−18.9124	−	10.9191i	−1.50937	−	0.871435i	−0.999940	−	0.0109227i	$-0.996523\pi$
$157$	−18.9124	−	10.9191i	−1.50937	−	0.871435i	−0.509430	−	0.860512i	$-0.670144\pi$
$158$	0.0376536	+	14.0648i	0.00299556	+	1.11893i
$159$	3.59214	+	7.00345i	0.284875	+	0.555409i
$160$	1.83244	+	3.07799i	0.144867	+	0.243336i
$161$	−5.57227	−	3.80693i	−0.439156	−	0.300028i
$162$	−9.57205	−	8.38903i	−0.752051	−	0.659105i
$163$	−3.27618	−	1.89150i	−0.256610	−	0.148154i	0.366177	−	0.930545i	$-0.380666\pi$
$163$	−3.27618	−	1.89150i	−0.256610	−	0.148154i	−0.622787	+	0.782391i	$0.714000\pi$
$164$	7.48241	−	13.1217i	0.584278	−	1.02463i
$165$	−0.241387	+	4.85517i	−0.0187919	+	0.377974i
$166$	−10.2924	−	17.7172i	−0.798842	−	1.37512i
$167$	−3.93798	−	6.82078i	−0.304730	−	0.527808i	0.672471	−	0.740123i	$-0.265233\pi$
$167$	−3.93798	−	6.82078i	−0.304730	−	0.527808i	−0.977201	+	0.212315i	$0.931900\pi$
$168$	−10.3886	−	7.75094i	−0.801497	−	0.597998i
$169$	−4.17594	+	7.23293i	−0.321226	+	0.556380i
$170$	−6.55797	+	0.0175567i	−0.502974	+	0.00134654i
$171$	−1.24481	−	0.894242i	−0.0951932	−	0.0683844i
$172$	−0.0781541	−	14.5964i	−0.00595920	−	1.11297i
$173$	−22.2511	+	12.8467i	−1.69172	+	0.976717i	−0.738595	+	0.674150i	$0.764510\pi$
$173$	−22.2511	+	12.8467i	−1.69172	+	0.976717i	−0.953128	+	0.302567i	$0.902156\pi$
$174$	16.7209	−	8.63295i	1.26761	−	0.654463i
$175$	−10.0470	−	6.86400i	−0.759479	−	0.518870i
$176$	15.4473	+	8.69930i	1.16438	+	0.655734i
$177$	11.2525	−	17.4296i	0.845791	−	1.31009i
$178$	1.33654	−	0.776430i	0.100178	−	0.0581959i
$179$	−2.12382	+	1.22619i	−0.158742	+	0.0916495i	−0.577266	−	0.816556i	$-0.695881\pi$
$179$	−2.12382	+	1.22619i	−0.158742	+	0.0916495i	0.418525	+	0.908205i	$0.362547\pi$
$180$	3.45421	−	1.58250i	0.257461	−	0.117953i
$181$			11.5779i			0.860577i	0.902691	+	0.430288i	$0.141588\pi$
$181$			11.5779i			0.860577i	−0.902691	+	0.430288i	$0.858412\pi$
$182$	6.67293	+	4.53274i	0.494631	+	0.335989i
$183$	−0.660398	−	1.28755i	−0.0488180	−	0.0951785i
$184$	−0.0579422	−	7.21427i	−0.00427156	−	0.531843i
$185$	−1.89279	+	3.27840i	−0.139160	+	0.241033i
$186$	4.18895	+	8.11347i	0.307149	+	0.594909i
$187$	−28.1078	+	16.2281i	−2.05545	+	1.18671i
$188$	10.2242	−	17.9298i	0.745673	−	1.30766i
$189$	−9.35473	+	10.0742i	−0.680457	+	0.732788i
$190$	0.395625	−	0.229828i	0.0287016	−	0.0166735i
$191$	7.67622	+	13.2956i	0.555432	+	0.962036i	0.997870	+	0.0652372i	$0.0207804\pi$
$191$	7.67622	+	13.2956i	0.555432	+	0.962036i	−0.442438	+	0.896799i	$0.645886\pi$
$192$	0.465677	−	13.8486i	0.0336073	−	0.999435i
$193$	9.77708	−	16.9344i	0.703769	−	1.21896i	−0.263364	−	0.964696i	$-0.584832\pi$
$193$	9.77708	−	16.9344i	0.703769	−	1.21896i	0.967134	−	0.254268i	$-0.0818345\pi$
$194$	−16.7777	+	9.74658i	−1.20457	+	0.699764i
$195$	−2.10404	+	1.07918i	−0.150674	+	0.0772820i
$196$	−8.69116	+	10.9756i	−0.620797	+	0.783971i
$197$		−	13.8296i		−	0.985322i	−0.870221	−	0.492661i	$-0.836024\pi$
$197$		−	13.8296i		−	0.985322i	0.870221	−	0.492661i	$-0.163976\pi$
$198$	10.9299	−	15.3010i	0.776754	−	1.08740i
$199$	8.49135	+	14.7075i	0.601936	+	1.04258i	0.992528	+	0.122020i	$0.0389371\pi$
$199$	8.49135	+	14.7075i	0.601936	+	1.04258i	−0.390592	+	0.920564i	$0.627730\pi$
$200$	−0.104471	−	13.0075i	−0.00738724	−	0.919771i
$201$	3.97939	−	6.16387i	0.280684	−	0.434766i
$202$	3.01220	−	5.24969i	0.211938	−	0.369367i
$203$	−8.80148	−	18.3213i	−0.617743	−	1.28590i
$204$	21.3853	+	13.6447i	1.49727	+	0.955318i
$205$	4.14185	−	2.39130i	0.289279	−	0.167016i
$206$	1.71463	+	0.983828i	0.119464	+	0.0685466i
$207$	−7.61440	−	0.759013i	−0.529237	−	0.0527550i
$208$	0.0923470	+	8.62331i	0.00640311	+	0.597919i
$209$	1.13220	−	1.96102i	0.0783156	−	0.135647i
$210$	−1.60131	−	3.77857i	−0.110501	−	0.260746i
$211$	10.8948	−	6.29011i	0.750028	−	0.433029i	−0.0756759	−	0.997132i	$-0.524111\pi$
$211$	10.8948	−	6.29011i	0.750028	−	0.433029i	0.825704	+	0.564103i	$0.190778\pi$
$212$	7.89516	+	4.50208i	0.542242	+	0.309204i
$213$	0.766160	−	15.4103i	0.0524964	−	1.05590i
$214$	−2.08904	−	3.59606i	−0.142804	−	0.245822i
$215$	2.31080	−	4.00242i	0.157595	−	0.272963i
$216$	−14.5511	−	2.06538i	−0.990076	−	0.140531i
$217$	8.89003	−	4.27073i	0.603494	−	0.289916i
$218$	−19.1900	+	0.0513746i	−1.29971	+	0.00347953i
$219$	7.28280	−	3.73542i	0.492126	−	0.252417i
$220$	2.83258	+	4.84607i	0.190973	+	0.326722i
$221$	−13.6728	−	7.89397i	−0.919729	−	0.531006i
$222$	13.0114	−	6.71774i	0.873268	−	0.450865i
$223$	−0.572080	+	0.990872i	−0.0383093	+	0.0663537i	−0.884544	−	0.466456i	$-0.845531\pi$
$223$	−0.572080	+	0.990872i	−0.0383093	+	0.0663537i	0.846235	+	0.532810i	$0.178864\pi$
$224$	−14.9375	−	0.932887i	−0.998056	−	0.0623312i
$225$	−13.7290	−	1.36852i	−0.915265	−	0.0912347i
$226$	0.0419981	+	15.6876i	0.00279367	+	1.04352i
$227$			10.5462i			0.699976i	0.936754	+	0.349988i	$0.113814\pi$
$227$			10.5462i			0.699976i	−0.936754	+	0.349988i	$0.886186\pi$
$228$	−1.76809	−	0.0784172i	−0.117095	−	0.00519331i
$229$			2.07446i			0.137084i	0.997648	+	0.0685420i	$0.0218347\pi$
$229$			2.07446i			0.137084i	−0.997648	+	0.0685420i	$0.978165\pi$
$230$	1.13683	−	1.98128i	0.0749605	−	0.130642i
$231$	−16.1807	−	12.2760i	−1.06461	−	0.807699i
$232$	10.7131	−	18.9047i	0.703349	−	1.24115i
$233$	−11.7052	+	20.2740i	−0.766833	+	1.32819i	0.172440	+	0.985020i	$0.444835\pi$
$233$	−11.7052	+	20.2740i	−0.766833	+	1.32819i	−0.939272	+	0.343173i	$0.888498\pi$
$234$	9.10422	+	0.882910i	0.595161	+	0.0577177i
$235$	5.65953	−	3.26753i	0.369187	−	0.213150i
$236$	−0.128266	−	23.9554i	−0.00834938	−	1.55937i
$237$	15.3273	−	7.86152i	0.995615	−	0.510661i
$238$	15.3960	−	22.6654i	0.997975	−	1.46918i
$239$	0.245688	+	0.425544i	0.0158922	+	0.0275261i	0.873862	−	0.486174i	$-0.161608\pi$
$239$	0.245688	+	0.425544i	0.0158922	+	0.0275261i	−0.857970	+	0.513700i	$0.828274\pi$
$240$	2.33997	−	3.71111i	0.151044	−	0.239551i
$241$	22.1108			1.42428			0.712140	−	0.702037i	$-0.247726\pi$
$241$	22.1108			1.42428			0.712140	+	0.702037i	$0.247726\pi$
$242$	10.6025	+	6.08356i	0.681554	+	0.391066i
$243$	−3.83221	+	15.1101i	−0.245837	+	0.969311i
$244$	−1.45149	−	0.827687i	−0.0929220	−	0.0529872i
$245$	−4.12937	+	1.61154i	−0.263816	+	0.102958i
$246$	−18.4795	−	0.869164i	−1.17821	−	0.0554159i
$247$	1.10149			0.0700861
$248$	9.17308	+	5.19830i	0.582491	+	0.330092i
$249$	−13.6111	+	21.0828i	−0.862566	+	1.33607i
$250$	4.27820	−	7.45608i	0.270577	−	0.471564i
$251$		−	2.32183i		−	0.146553i	−0.997312	−	0.0732764i	$-0.976654\pi$
$251$		−	2.32183i		−	0.146553i	0.997312	−	0.0732764i	$-0.0233455\pi$
$252$	−2.68187	+	15.6463i	−0.168942	+	0.985626i
$253$		−	11.3050i		−	0.710741i
$254$	−15.5892	−	8.94486i	−0.978152	−	0.561250i
$255$	3.66558	+	7.14664i	0.229548	+	0.447540i
$256$	−8.29491	−	13.6819i	−0.518432	−	0.855119i
$257$	−0.381927			−0.0238240			−0.0119120	−	0.999929i	$-0.503792\pi$
$257$	−0.381927			−0.0238240			−0.0119120	+	0.999929i	$0.503792\pi$
$258$	−15.8849	+	8.20131i	−0.988951	+	0.510591i
$259$	−6.84888	−	14.2567i	−0.425569	−	0.885871i
$260$	−1.35256	+	2.37194i	−0.0838821	+	0.147101i
$261$	−18.7181	−	13.4466i	−1.15862	−	0.832322i
$262$	1.94581	−	3.39118i	0.120213	−	0.209508i
$263$	21.0416			1.29748			0.648740	−	0.761010i	$-0.275296\pi$
$263$	21.0416			1.29748			0.648740	+	0.761010i	$0.275296\pi$
$264$	0.903970	−	21.6940i	0.0556355	−	1.33517i
$265$	1.43882	+	2.49211i	0.0883859	+	0.153089i
$266$	−0.139578	+	1.90653i	−0.00855810	+	0.116897i
$267$	−1.59044	−	1.02678i	−0.0973331	−	0.0628382i
$268$	−0.0453604	−	8.47170i	−0.00277083	−	0.517491i
$269$	10.4957	−	6.05971i	0.639936	−	0.369467i	−0.144654	−	0.989482i	$-0.546207\pi$
$269$	10.4957	−	6.05971i	0.639936	−	0.369467i	0.784590	+	0.620015i	$0.212874\pi$
$270$	−3.64755	−	2.88949i	−0.221983	−	0.175849i
$271$	9.28923	−	16.0894i	0.564280	−	0.977362i	−0.432836	−	0.901473i	$-0.642487\pi$
$271$	9.28923	−	16.0894i	0.564280	−	0.977362i	0.997116	−	0.0758896i	$-0.0241797\pi$
$272$	29.2901	−	0.313668i	1.77598	−	0.0190189i
$273$	1.23602	−	9.80219i	0.0748071	−	0.593255i
$274$	−4.22927	−	2.42670i	−0.255500	−	0.146602i
$275$		−	20.3833i		−	1.22916i
$276$	−7.84037	+	4.07458i	−0.471935	+	0.245261i
$277$			4.89381i			0.294041i	0.989133	+	0.147020i	$0.0469683\pi$
$277$			4.89381i			0.294041i	−0.989133	+	0.147020i	$0.953032\pi$
$278$	−2.15726	+	0.00577530i	−0.129384	+	0.000346380i
$279$	6.52466	−	9.08253i	0.390621	−	0.543757i
$280$	−3.93412	−	2.64167i	−0.235109	−	0.157870i
$281$	2.01857	−	3.49627i	0.120418	−	0.208570i	−0.799515	−	0.600647i	$-0.794910\pi$
$281$	2.01857	−	3.49627i	0.120418	−	0.208570i	0.919933	+	0.392077i	$0.128243\pi$
$282$	−25.2508	−	1.18765i	−1.50367	−	0.0707234i
$283$	−0.227090	−	0.131111i	−0.0134991	−	0.00779372i	0.493235	−	0.869896i	$-0.335814\pi$
$283$	−0.227090	−	0.131111i	−0.0134991	−	0.00779372i	−0.506734	+	0.862102i	$0.669148\pi$
$284$	−8.99061	−	15.3814i	−0.533494	−	0.912718i
$285$	−0.470780	−	0.303935i	−0.0278866	−	0.0180036i
$286$	0.0361773	+	13.5133i	0.00213921	+	0.799060i
$287$	−1.51235	+	19.9249i	−0.0892712	+	1.17613i
$288$	−15.3712	+	7.19205i	−0.905758	+	0.423795i
$289$	−18.3128	+	31.7188i	−1.07723	+	1.86581i
$290$	5.94895	−	3.45589i	0.349334	−	0.202937i
$291$	19.9649	+	12.8893i	1.17036	+	0.755584i
$292$	4.68166	−	8.21009i	0.273974	−	0.480459i
$293$	−1.75400	+	1.01267i	−0.102470	+	0.0591609i	−0.550359	−	0.834928i	$-0.685509\pi$
$293$	−1.75400	+	1.01267i	−0.102470	+	0.0591609i	0.447889	+	0.894089i	$0.352176\pi$
$294$	16.8097	+	3.38149i	0.980361	+	0.197213i
$295$	3.79245	−	6.56872i	0.220805	−	0.382446i
$296$	8.33640	−	14.7107i	0.484543	−	0.855040i
$297$	−22.7746	−	3.41945i	−1.32152	−	0.198416i
$298$	9.89744	−	17.2494i	0.573343	−	0.999228i
$299$	4.76246	−	2.74961i	0.275420	−	0.159014i
$300$	−14.1364	+	7.34657i	−0.816166	+	0.424155i
$301$	8.36142	+	17.4053i	0.481944	+	1.00322i
$302$	10.0328	+	5.75668i	0.577323	+	0.331260i
$303$	−7.40361	−	0.368088i	−0.425326	−	0.0211461i
$304$	−1.75879	+	1.04071i	−0.100873	+	0.0596886i
$305$	−0.264520	−	0.458162i	−0.0151464	−	0.0262343i
$306$	2.99892	−	30.9236i	0.171437	−	1.76778i
$307$		−	5.38247i		−	0.307194i	−0.988134	−	0.153597i	$-0.950914\pi$
$307$		−	5.38247i		−	0.307194i	0.988134	−	0.153597i	$-0.0490857\pi$
$308$	−23.3944	−	1.64976i	−1.33302	−	0.0940040i
$309$	0.120223	−	2.41813i	0.00683925	−	0.137562i
$310$	1.67690	+	2.88660i	0.0952414	+	0.163948i
$311$	−11.8286	+	20.4878i	−0.670741	+	1.16176i	0.306953	+	0.951725i	$0.400690\pi$
$311$	−11.8286	+	20.4878i	−0.670741	+	1.16176i	−0.977694	+	0.210033i	$0.932643\pi$
$312$	9.35886	−	4.89559i	0.529841	−	0.277158i
$313$	5.23556	+	9.06825i	0.295931	+	0.512568i	0.975201	−	0.221321i	$-0.0710368\pi$
$313$	5.23556	+	9.06825i	0.295931	+	0.512568i	−0.679270	+	0.733888i	$0.737703\pi$
$314$	15.5134	+	26.7047i	0.875473	+	1.50703i
$315$	−3.23300	+	3.84843i	−0.182159	+	0.216834i
$316$	9.85297	−	17.2788i	0.554273	−	0.972011i
$317$	−1.88720	+	1.08957i	−0.105996	+	0.0611966i	−0.552061	−	0.833804i	$-0.686158\pi$
$317$	−1.88720	+	1.08957i	−0.105996	+	0.0611966i	0.446065	+	0.895001i	$0.352825\pi$
$318$	0.522967	−	11.1189i	0.0293265	−	0.623517i
$319$	17.0247	−	29.4876i	0.953197	−	1.65099i
$320$	−0.0813700	−	5.06528i	−0.00454872	−	0.283158i
$321$	−2.76264	+	4.27919i	−0.154195	+	0.238841i
$322$	4.15572	+	8.59161i	0.231589	+	0.478792i
$323$		−	3.74135i		−	0.208174i
$324$	5.83698	+	17.0273i	0.324277	+	0.945962i
$325$	8.58684	−	4.95761i	0.476312	−	0.274999i
$326$	2.68738	+	4.62604i	0.148840	+	0.256213i
$327$	10.7263	+	20.9126i	0.593164	+	1.15647i
$328$	−18.4135	+	10.8292i	−1.01672	+	0.597941i
$329$	−2.06651	+	27.2259i	−0.113931	+	1.50101i
$330$	3.71329	−	5.78562i	0.204410	−	0.318488i
$331$	−22.6583	+	13.0818i	−1.24541	+	0.719038i	−0.970191	−	0.242343i	$-0.922084\pi$
$331$	−22.6583	+	13.0818i	−1.24541	+	0.719038i	−0.275220	+	0.961381i	$0.588751\pi$
$332$	0.155150	+	28.9765i	0.00851497	+	1.59029i
$333$	−14.5655	−	10.4635i	−0.798182	−	0.573394i
$334$	0.0298188	+	11.1383i	0.00163161	+	0.609458i
$335$	1.34118	−	2.32299i	0.0732764	−	0.126918i
$336$	7.28769	+	16.8193i	0.397576	+	0.917569i
$337$	11.8649	+	20.5506i	0.646323	+	1.11946i	0.983994	+	0.178200i	$0.0570275\pi$
$337$	11.8649	+	20.5506i	0.646323	+	1.11946i	−0.337671	+	0.941264i	$0.609639\pi$
$338$	10.2131	−	5.93303i	0.555518	−	0.322714i
$339$	17.0958	−	8.76860i	0.928516	−	0.476245i
$340$	8.05659	+	4.59413i	0.436930	+	0.249152i
$341$	14.3082	+	8.26084i	0.774832	+	0.447350i
$342$	0.897539	+	1.97304i	0.0485333	+	0.106690i
$343$	4.17299	−	18.0440i	0.225320	−	0.974285i
$344$	−10.1775	+	17.9594i	−0.548731	+	0.968308i
$345$	−2.79419	−	0.138920i	−0.150434	−	0.00747919i
$346$	36.3358	−	0.0972766i	1.95343	−	0.00522962i
$347$	14.4518	+	8.34374i	0.775813	+	0.447916i	0.834944	−	0.550335i	$-0.185500\pi$
$347$	14.4518	+	8.34374i	0.775813	+	0.447916i	−0.0591316	+	0.998250i	$0.518833\pi$
$348$	−26.5865	−	1.17915i	−1.42519	−	0.0632089i
$349$	7.50553	+	4.33332i	0.401762	+	0.231957i	0.687244	−	0.726427i	$-0.258820\pi$
$349$	7.50553	+	4.33332i	0.401762	+	0.231957i	−0.285482	+	0.958384i	$0.592154\pi$
$350$	7.49288	+	15.4909i	0.400511	+	0.828024i
$351$	−4.09873	−	10.4259i	−0.218774	−	0.556494i
$352$	−12.8254	−	21.5431i	−0.683596	−	1.14825i
$353$	−15.4786			−0.823842			−0.411921	−	0.911219i	$-0.635142\pi$
$353$	−15.4786			−0.823842			−0.411921	+	0.911219i	$0.635142\pi$
$354$	−26.0701	+	13.4599i	−1.38561	+	0.715385i
$355$		−	5.64100i		−	0.299393i
$356$	−2.18592	+	0.0117041i	−0.115853	+	0.000620318i
$357$	−33.2944	−	4.19828i	−1.76212	−	0.222197i
$358$	3.46817	−	0.00928481i	0.183298	−	0.000490717i
$359$	18.4030	−	31.8749i	0.971273	−	1.68229i	0.279551	−	0.960131i	$-0.409814\pi$
$359$	18.4030	−	31.8749i	0.971273	−	1.68229i	0.691722	−	0.722164i	$-0.256852\pi$
$360$	−5.35085	−	0.490011i	−0.282014	−	0.0258258i
$361$	−9.36949	−	16.2284i	−0.493131	−	0.854128i
$362$	8.14880	−	14.2018i	0.428292	−	0.746431i
$363$	0.743406	−	14.9526i	0.0390187	−	0.784809i
$364$	−4.99499	−	10.2566i	−0.261808	−	0.537591i
$365$	2.59151	−	1.49621i	0.135646	−	0.0783152i
$366$	−0.0961449	+	2.04416i	−0.00502558	+	0.106850i
$367$	4.15929			0.217113			0.108557	−	0.994090i	$-0.465377\pi$
$367$	4.15929			0.217113			0.108557	+	0.994090i	$0.465377\pi$
$368$	−5.00651	+	8.89005i	−0.260983	+	0.463426i
$369$	9.32666	+	20.6491i	0.485527	+	1.07495i
$370$	4.62917	−	2.68920i	0.240659	−	0.139805i
$371$	−11.9886	−	0.909964i	−0.622416	−	0.0472430i
$372$	0.572156	−	12.9005i	0.0296649	−	0.668862i
$373$		−	34.4284i		−	1.78264i	−0.453377	−	0.891319i	$-0.649781\pi$
$373$		−	34.4284i		−	1.78264i	0.453377	−	0.891319i	$-0.350219\pi$
$374$	45.8997	−	0.122881i	2.37342	−	0.00635400i
$375$	−10.5153	−	0.522792i	−0.543006	−	0.0269969i
$376$	−25.1607	+	14.7972i	−1.29756	+	0.763110i
$377$	16.5629			0.853034
$378$	18.5653	−	5.77322i	0.954895	−	0.296942i
$379$			8.86981i			0.455612i	0.973707	+	0.227806i	$0.0731551\pi$
$379$			8.86981i			0.455612i	−0.973707	+	0.227806i	$0.926845\pi$
$380$	−0.647046	+	0.00346450i	−0.0331927	+	0.000177725i
$381$	−1.09305	+	21.9853i	−0.0559989	+	1.12634i
$382$	−0.0581251	−	21.7116i	−0.00297394	−	1.11086i
$383$	12.8496			0.656586			0.328293	−	0.944576i	$-0.393527\pi$
$383$	12.8496			0.656586			0.328293	+	0.944576i	$0.393527\pi$
$384$	−10.3182	+	16.6594i	−0.526548	+	0.850145i
$385$	−6.13127	−	4.18884i	−0.312479	−	0.213483i
$386$	−23.9117	+	13.8909i	−1.21708	+	0.707030i
$387$	17.7822	+	12.7743i	0.903919	+	0.649352i
$388$	27.4400	−	0.146923i	1.39305	−	0.00745888i
$389$			19.7459i			1.00116i	0.865691	+	0.500579i	$0.166879\pi$
$389$			19.7459i			1.00116i	−0.865691	+	0.500579i	$0.833121\pi$
$390$	3.34045	+	0.157115i	0.169150	+	0.00795581i
$391$	−9.33938	−	16.1763i	−0.472313	−	0.818069i
$392$	18.3858	−	7.34598i	0.928622	−	0.371028i
$393$	−4.78256	−	0.237776i	−0.241248	−	0.0119942i
$394$	−9.73366	+	16.9639i	−0.490375	+	0.854629i
$395$	5.45406	−	3.14890i	0.274424	−	0.158439i
$396$	−24.1762	+	11.0760i	−1.21490	+	0.556591i
$397$	17.2986	+	9.98736i	0.868192	+	0.501251i	0.866747	−	0.498748i	$-0.166207\pi$
$397$	17.2986	+	9.98736i	0.868192	+	0.501251i	0.00144522	+	0.999999i	$0.499540\pi$
$398$	−0.0642974	−	24.0171i	−0.00322294	−	1.20387i
$399$	2.15812	−	0.907774i	0.108041	−	0.0454455i
$400$	−9.02688	+	16.0290i	−0.451344	+	0.801450i
$401$	−17.6240			−0.880101			−0.440050	−	0.897973i	$-0.645039\pi$
$401$	−17.6240			−0.880101			−0.440050	+	0.897973i	$0.645039\pi$
$402$	−9.21954	+	4.76001i	−0.459829	+	0.237408i
$403$			8.03680i			0.400342i
$404$	−7.38973	+	4.31938i	−0.367653	+	0.214897i
$405$	−1.12502	+	5.58703i	−0.0559029	+	0.277622i
$406$	−2.09882	+	28.6683i	−0.104163	+	1.42278i
$407$	13.2477	−	22.9458i	0.656666	−	1.13738i
$408$	−16.6285	−	31.7885i	−0.823232	−	1.57377i
$409$	−3.08809	+	5.34873i	−0.152696	+	0.264478i	−0.932218	−	0.361898i	$-0.882129\pi$
$409$	−3.08809	+	5.34873i	−0.152696	+	0.264478i	0.779522	+	0.626375i	$0.215462\pi$
$410$	−6.76359	+	0.0181072i	−0.334030	+	0.000894249i
$411$	−0.296540	+	5.96452i	−0.0146273	+	0.294208i
$412$	−1.41077	−	2.41359i	−0.0695038	−	0.118909i
$413$	13.7227	+	28.5653i	0.675248	+	1.40561i
$414$	8.80587	+	6.29024i	0.432785	+	0.309148i
$415$	−4.58735	+	7.94552i	−0.225184	+	0.390030i
$416$	5.95603	−	10.6426i	0.292018	−	0.521798i
$417$	1.20580	+	2.35090i	0.0590483	+	0.115124i
$418$	−2.76901	+	1.60859i	−0.135436	+	0.0786785i
$419$	−5.59298	+	3.22911i	−0.273235	+	0.157752i	−0.630357	−	0.776305i	$-0.717091\pi$
$419$	−5.59298	+	3.22911i	−0.273235	+	0.157752i	0.357122	+	0.934058i	$0.383758\pi$
$420$	−0.695239	+	5.76197i	−0.0339242	+	0.281155i
$421$	31.9053	+	18.4205i	1.55497	+	0.897762i	0.997725	+	0.0674127i	$0.0214744\pi$
$421$	31.9053	+	18.4205i	1.55497	+	0.897762i	0.557244	+	0.830349i	$0.311859\pi$
$422$	−17.7911	+	0.0476294i	−0.866055	+	0.00231856i
$423$	12.7442	+	28.2154i	0.619643	+	1.37188i
$424$	−6.51579	−	11.0792i	−0.316435	−	0.538054i
$425$	−16.8392	−	29.1663i	−0.816819	−	1.41477i
$426$	−11.7860	+	18.3635i	−0.571031	+	0.889716i
$427$	2.20404	+	0.167293i	0.106661	+	0.00809586i
$428$	0.0314909	+	5.88137i	0.00152217	+	0.284287i
$429$	14.7263	−	7.55329i	0.710994	−	0.364676i
$430$	−5.65150	+	3.28310i	−0.272540	+	0.158325i
$431$	4.55094	+	7.88245i	0.219211	+	0.379684i	0.954567	−	0.297997i	$-0.0963184\pi$
$431$	4.55094	+	7.88245i	0.219211	+	0.379684i	−0.735356	+	0.677681i	$0.762985\pi$
$432$	16.3952	+	12.7749i	0.788814	+	0.614632i
$433$	−6.73201			−0.323520			−0.161760	−	0.986830i	$-0.551717\pi$
$433$	−6.73201			−0.323520			−0.161760	+	0.986830i	$0.551717\pi$
$434$	−13.9107	−	1.01841i	−0.667733	−	0.0488851i
$435$	−7.07904	−	4.57022i	−0.339414	−	0.219125i
$436$	23.5753	+	13.4434i	1.12905	+	0.643822i
$437$	1.12858	+	0.651588i	0.0539874	+	0.0311697i
$438$	−11.5624	−	0.543827i	−0.552474	−	0.0259851i
$439$	16.6303	+	28.8045i	0.793721	+	1.37477i	0.923648	+	0.383242i	$0.125192\pi$
$439$	16.6303	+	28.8045i	0.793721	+	1.37477i	−0.129927	+	0.991524i	$0.541474\pi$
$440$	−0.0637549	−	7.93800i	−0.00303940	−	0.378429i
$441$	−5.65661	−	20.2238i	−0.269363	−	0.963039i
$442$	11.2155	+	19.3062i	0.533466	+	0.918304i
$443$	25.0472	−	14.4610i	1.19003	−	0.687063i	0.231715	−	0.972784i	$-0.425566\pi$
$443$	25.0472	−	14.4610i	1.19003	−	0.687063i	0.958313	+	0.285721i	$0.0922331\pi$
$444$	−20.6883	−	0.917554i	−0.981825	−	0.0435452i
$445$	−0.599391	−	0.346058i	−0.0284138	−	0.0164047i
$446$	1.39913	−	0.812793i	0.0662509	−	0.0384868i
$447$	−24.3267	−	1.20946i	−1.15061	−	0.0572054i
$448$	17.6663	+	11.6577i	0.834653	+	0.550776i
$449$	9.88987			0.466732			0.233366	−	0.972389i	$-0.425026\pi$
$449$	9.88987			0.466732			0.233366	+	0.972389i	$0.425026\pi$
$450$	15.8772	+	11.3415i	0.748459	+	0.534642i
$451$	−28.9891	+	16.7369i	−1.36504	+	0.788109i
$452$	10.9898	−	19.2725i	0.516918	−	0.906502i
$453$	0.703462	−	14.1492i	0.0330515	−	0.664787i
$454$	7.42268	−	12.9363i	0.348364	−	0.607132i
$455$	0.273380	−	3.60172i	0.0128163	−	0.168851i
$456$	2.11361	+	1.34062i	0.0989789	+	0.0627802i
$457$	−6.88173	−	11.9195i	−0.321914	−	0.557571i	0.658969	−	0.752170i	$-0.270993\pi$
$457$	−6.88173	−	11.9195i	−0.321914	−	0.557571i	−0.980883	+	0.194599i	$0.937659\pi$
$458$	1.46005	−	2.54460i	0.0682239	−	0.118901i
$459$	−35.4129	+	13.9219i	−1.65293	+	0.649817i
$460$	−2.78895	+	1.63017i	−0.130036	+	0.0760073i
$461$	4.13374	+	2.38661i	0.192527	+	0.111156i	0.593165	−	0.805081i	$-0.297878\pi$
$461$	4.13374	+	2.38661i	0.192527	+	0.111156i	−0.400638	+	0.916236i	$0.631211\pi$
$462$	11.2077	+	26.4465i	0.521428	+	1.23040i
$463$	6.25196	+	10.8287i	0.290553	+	0.503253i	0.973941	−	0.226803i	$-0.0728273\pi$
$463$	6.25196	+	10.8287i	0.290553	+	0.503253i	−0.683387	+	0.730056i	$0.739494\pi$
$464$	−26.4466	+	15.6489i	−1.22775	+	0.726484i
$465$	2.21760	−	3.43495i	0.102839	−	0.159292i
$466$	28.6273	−	16.6303i	1.32614	−	0.770386i
$467$	−1.15395	−	0.666233i	−0.0533984	−	0.0308296i	0.473063	−	0.881029i	$-0.343148\pi$
$467$	−1.15395	−	0.666233i	−0.0533984	−	0.0308296i	−0.526462	+	0.850199i	$0.676482\pi$
$468$	−10.5461	−	7.49079i	−0.487495	−	0.346262i
$469$	4.85293	+	10.1020i	0.224088	+	0.466465i
$470$	−9.24194	+	0.0247421i	−0.426299	+	0.00114127i
$471$	20.5156	−	31.7776i	0.945309	−	1.46424i
$472$	−16.7031	+	29.4748i	−0.768823	+	1.35669i
$473$	−16.1734	+	28.0132i	−0.743655	+	1.28805i
$474$	−24.3341	−	1.14453i	−1.11770	−	0.0525700i
$475$	2.03487	+	1.17483i	0.0933661	+	0.0539049i
$476$	−34.8378	+	16.9661i	−1.59679	+	0.777640i
$477$	−12.4243	+	5.61175i	−0.568870	+	0.256944i
$478$	−0.00186037	−	0.694907i	−8.50914e−5	−	0.0317843i
$479$	−0.487345			−0.0222674			−0.0111337	−	0.999938i	$-0.503544\pi$
$479$	−0.487345			−0.0222674			−0.0111337	+	0.999938i	$0.503544\pi$
$480$	−5.48226	+	2.90524i	−0.250230	+	0.132606i
$481$	12.8884			0.587662
$482$	−27.1218	−	15.5621i	−1.23537	−	0.708836i
$483$	7.06492	−	9.31213i	0.321465	−	0.423716i
$484$	−8.72360	−	14.9246i	−0.396527	−	0.678391i
$485$	7.52419	+	4.34410i	0.341656	+	0.197255i
$486$	15.3356	−	15.8373i	0.695636	−	0.718395i
$487$	−14.1257	−	24.4664i	−0.640096	−	1.10868i	−0.985411	−	0.170192i	$-0.945561\pi$
$487$	−14.1257	−	24.4664i	−0.640096	−	1.10868i	0.345315	−	0.938487i	$-0.387772\pi$
$488$	1.19790	+	2.03686i	0.0542263	+	0.0922044i
$489$	3.55391	−	5.50483i	0.160713	−	0.248937i
$490$	6.19947	+	0.929588i	0.280063	+	0.0419945i
$491$	9.62262	−	5.55562i	0.434263	−	0.250722i	−0.266898	−	0.963725i	$-0.585999\pi$
$491$	9.62262	−	5.55562i	0.434263	−	0.250722i	0.701161	+	0.713003i	$0.252665\pi$
$492$	22.0558	+	14.0725i	0.994353	+	0.634436i
$493$		−	56.2580i		−	2.53373i
$494$	−1.35112	−	0.775256i	−0.0607899	−	0.0348804i
$495$	−8.37827	−	0.835156i	−0.376575	−	0.0375375i
$496$	−7.59331	−	12.8327i	−0.340950	−	0.576203i
$497$	19.4606	+	13.2953i	0.872929	+	0.596378i
$498$	31.5344	−	16.2811i	1.41309	−	0.729573i
$499$			18.2980i			0.819129i	0.912281	+	0.409565i	$0.134319\pi$
$499$			18.2980i			0.819129i	−0.912281	+	0.409565i	$0.865681\pi$
$500$	−10.4956	+	6.13478i	−0.469376	+	0.274356i
$501$	12.1381	−	6.22573i	0.542289	−	0.278145i
$502$	−1.63417	+	2.84804i	−0.0729364	+	0.127114i
$503$	−23.6050			−1.05250			−0.526248	−	0.850331i	$-0.676402\pi$
$503$	−23.6050			−1.05250			−0.526248	+	0.850331i	$0.676402\pi$
$504$	14.3020	−	17.3047i	0.637060	−	0.770814i
$505$	−2.71012			−0.120599
$506$	−7.95677	+	13.8671i	−0.353721	+	0.616469i
$507$	−12.1532	−	7.84609i	−0.539742	−	0.348457i
$508$	12.8266	+	21.9441i	0.569088	+	0.973613i
$509$		−	10.7648i		−	0.477141i	−0.971125	−	0.238571i	$-0.923321\pi$
$509$		−	10.7648i		−	0.477141i	0.971125	−	0.238571i	$-0.0766788\pi$
$510$	0.533659	−	11.3462i	0.0236308	−	0.502420i
$511$	−0.946261	+	12.4668i	−0.0418601	+	0.551498i
$512$	0.545139	+	22.6208i	0.0240920	+	0.999710i
$513$	1.65402	−	2.07651i	0.0730270	−	0.0916801i
$514$	0.468485	+	0.268810i	0.0206640	+	0.0118567i
$515$		−	0.885165i		−	0.0390050i
$516$	25.2572	+	1.12019i	1.11189	+	0.0493137i
$517$	−39.6114	+	22.8697i	−1.74211	+	1.00581i
$518$	−1.63320	+	22.3082i	−0.0717585	+	0.980167i
$519$	−20.3099	−	39.5975i	−0.891507	−	1.73814i
$520$	3.32852	−	1.95754i	0.145965	−	0.0858436i
$521$	−12.1491	−	21.0429i	−0.532262	−	0.921905i	−0.999291	−	0.0376626i	$-0.988009\pi$
$521$	−12.1491	−	21.0429i	−0.532262	−	0.921905i	0.467028	−	0.884242i	$-0.345325\pi$
$522$	13.4962	+	29.6683i	0.590711	+	1.29854i
$523$	28.3524	+	16.3693i	1.23976	+	0.715778i	0.969046	−	0.246881i	$-0.0794057\pi$
$523$	28.3524	+	16.3693i	1.23976	+	0.715778i	0.270717	+	0.962659i	$0.412739\pi$
$524$	−4.77359	+	2.79022i	−0.208535	+	0.121891i
$525$	12.7382	−	16.7900i	0.555942	−	0.732777i
$526$	−25.8103	−	14.8096i	−1.12538	−	0.645730i
$527$	27.2980			1.18912
$528$	−16.3776	+	25.9743i	−0.712744	+	1.13039i
$529$	−16.4939			−0.717125
$530$	−0.0108949	−	4.06958i	−0.000473243	−	0.176771i
$531$	29.1839	+	20.9650i	1.26647	+	0.909802i
$532$	1.51308	−	2.24038i	0.0656003	−	0.0971328i
$533$	−14.1014	−	8.14148i	−0.610802	−	0.352646i
$534$	1.22821	+	2.37888i	0.0531497	+	0.102944i
$535$	−0.931096	+	1.61270i	−0.0402548	+	0.0697233i
$536$	−5.90695	+	10.4236i	−0.255142	+	0.450231i
$537$	−1.93853	−	3.77948i	−0.0836539	−	0.163097i
$538$	−17.1394	+	0.0458848i	−0.738932	+	0.00197823i
$539$	28.9018	−	11.2793i	1.24489	−	0.485833i
$540$	2.44050	+	6.11158i	0.105023	+	0.263001i
$541$	−20.5122	−	11.8427i	−0.881888	−	0.509158i	−0.0106076	−	0.999944i	$-0.503377\pi$
$541$	−20.5122	−	11.8427i	−0.881888	−	0.509158i	−0.871280	+	0.490785i	$0.836710\pi$
$542$	−22.7186	+	13.1978i	−0.975848	+	0.566895i
$543$	−20.0287	−	0.995777i	−0.859515	−	0.0427329i
$544$	−36.1490	−	20.2304i	−1.54988	−	0.867371i
$545$	4.29637	+	7.44153i	0.184036	+	0.318760i
$546$	−8.41517	+	11.1538i	−0.360136	+	0.477337i
$547$	23.3288	+	13.4689i	0.997468	+	0.575888i	0.907498	−	0.420056i	$-0.137990\pi$
$547$	23.3288	+	13.4689i	0.997468	+	0.575888i	0.0899698	+	0.995944i	$0.471323\pi$
$548$	3.47979	+	5.95334i	0.148649	+	0.254314i
$549$	2.28415	−	1.03169i	0.0974852	−	0.0440316i
$550$	−14.3463	+	25.0028i	−0.611727	+	1.06612i
$551$	1.96250	+	3.39915i	0.0836053	+	0.144809i
$552$	12.4851	+	0.520242i	0.531399	+	0.0221430i
$553$	−1.99149	+	26.2374i	−0.0846867	+	1.11573i
$554$	3.44439	−	6.00292i	0.146338	−	0.255039i
$555$	−5.50856	−	3.55632i	−0.233825	−	0.150957i
$556$	2.65023	+	1.51125i	0.112395	+	0.0640912i
$557$	−19.3295	+	11.1599i	−0.819017	+	0.472860i	−0.850077	−	0.526658i	$-0.823445\pi$
$557$	−19.3295	+	11.1599i	−0.819017	+	0.472860i	0.0310602	+	0.999518i	$0.490112\pi$
$558$	−14.3959	+	6.54872i	−0.609426	+	0.277229i
$559$	−15.7348			−0.665511
$560$	2.96645	+	6.00930i	0.125356	+	0.253939i
$561$	−25.6557	−	50.0198i	−1.08318	−	2.11184i
$562$	−4.93681	+	2.86792i	−0.208247	+	0.120976i
$563$	−17.4640	−	10.0828i	−0.736018	−	0.424940i	0.0846017	−	0.996415i	$-0.473038\pi$
$563$	−17.4640	−	10.0828i	−0.736018	−	0.424940i	−0.820620	+	0.571475i	$0.806372\pi$
$564$	30.1376	+	19.2290i	1.26902	+	0.809686i
$565$	6.08336	−	3.51223i	0.255929	−	0.147761i
$566$	0.186278	+	0.320657i	0.00782984	+	0.0134782i
$567$	−16.6229	−	17.0493i	−0.698096	−	0.716005i
$568$	0.202358	+	25.1952i	0.00849074	+	1.05717i
$569$	0.399529	+	0.692005i	0.0167491	+	0.0290104i	0.874278	−	0.485425i	$-0.161335\pi$
$569$	0.399529	+	0.692005i	0.0167491	+	0.0290104i	−0.857529	+	0.514435i	$0.828002\pi$
$570$	0.363557	+	0.704164i	0.0152277	+	0.0294942i
$571$	5.31344	+	3.06771i	0.222360	+	0.128380i	0.607043	−	0.794669i	$-0.292356\pi$
$571$	5.31344	+	3.06771i	0.222360	+	0.128380i	−0.384682	+	0.923049i	$0.625689\pi$
$572$	9.46665	−	16.6014i	0.395821	−	0.694138i
$573$	−23.6605	+	12.1357i	−0.988430	+	0.506976i
$574$	15.8787	−	23.3761i	0.662766	−	0.975699i
$575$	11.7307			0.489205
$576$	23.9168	+	1.99665i	0.996533	+	0.0831939i
$577$	−13.6583	−	23.6568i	−0.568602	−	0.984847i	−0.996705	−	0.0811172i	$-0.974151\pi$
$577$	−13.6583	−	23.6568i	−0.568602	−	0.984847i	0.428103	−	0.903730i	$-0.359182\pi$
$578$	44.7876	−	26.0183i	1.86292	−	1.08222i
$579$	28.4541	+	18.3700i	1.18251	+	0.763430i
$580$	−9.72952	+	0.0520952i	−0.403996	+	0.00216314i
$581$	−16.5989	−	34.5526i	−0.688640	−	1.43348i
$582$	−15.4178	−	29.8622i	−0.639086	−	1.23783i
$583$	−10.0704	−	17.4424i	−0.417073	−	0.722391i
$584$	−11.5212	+	6.77569i	−0.476749	+	0.280380i
$585$	−1.68593	−	3.73263i	−0.0697048	−	0.154325i
$586$	2.86426	−	0.00766805i	0.118321	−	0.000316764i
$587$	8.23039	+	4.75182i	0.339705	+	0.196128i	0.660141	−	0.751141i	$-0.270496\pi$
$587$	8.23039	+	4.75182i	0.339705	+	0.196128i	−0.320437	+	0.947270i	$0.603830\pi$
$588$	−18.2393	−	15.9789i	−0.752178	−	0.658960i
$589$	−1.64936	+	0.952260i	−0.0679608	+	0.0392372i
$590$	−9.27518	+	5.38819i	−0.381853	+	0.221828i
$591$	23.9241	+	1.18944i	0.984106	+	0.0489272i
$592$	−20.5794	+	12.1772i	−0.845810	+	0.500481i
$593$	9.35064	−	16.1958i	0.383985	−	0.665081i	−0.607643	−	0.794210i	$-0.707885\pi$
$593$	9.35064	−	16.1958i	0.383985	−	0.665081i	0.991628	+	0.129129i	$0.0412182\pi$
$594$	25.5294	+	20.2238i	1.04749	+	0.829791i
$595$	−12.2337	−	0.928569i	−0.501533	−	0.0380676i
$596$	−24.2811	+	14.1926i	−0.994591	+	0.581350i
$597$	−26.1729	+	13.4244i	−1.07119	+	0.549423i
$598$	−7.77703	+	0.0208203i	−0.318026	+	0.000851405i
$599$	6.67957	−	11.5693i	0.272920	−	0.472711i	−0.696688	−	0.717374i	$-0.745344\pi$
$599$	6.67957	−	11.5693i	0.272920	−	0.472711i	0.969608	+	0.244663i	$0.0786773\pi$
$600$	22.5109	+	0.938010i	0.919003	+	0.0382941i
$601$	−2.60095	+	4.50498i	−0.106095	+	0.183762i	−0.914185	−	0.405297i	$-0.867168\pi$
$601$	−2.60095	+	4.50498i	−0.106095	+	0.183762i	0.808090	+	0.589059i	$0.200501\pi$
$602$	1.99388	−	27.2349i	0.0812645	−	1.11001i
$603$	10.3207	+	7.41413i	0.420292	+	0.301927i
$604$	−8.25487	−	14.1227i	−0.335886	−	0.574644i
$605$		−	5.47347i		−	0.222528i
$606$	8.82245	+	5.66236i	0.358387	+	0.230018i
$607$	−10.0404			−0.407529			−0.203764	−	0.979020i	$-0.565318\pi$
$607$	−10.0404			−0.407529			−0.203764	+	0.979020i	$0.565318\pi$
$608$	2.88986	−	0.0386853i	0.117199	−	0.00156889i
$609$	32.4513	−	13.6501i	1.31499	−	0.553128i
$610$	0.00200297	+	0.748173i	8.10980e−5	+	0.0302926i
$611$	−19.2686	−	11.1247i	−0.779523	−	0.450058i
$612$	−25.4434	+	35.8212i	−1.02849	+	1.44799i
$613$	−7.92745	+	4.57691i	−0.320187	+	0.184860i	−0.651476	−	0.758669i	$-0.725850\pi$
$613$	−7.92745	+	4.57691i	−0.320187	+	0.184860i	0.331289	+	0.943529i	$0.392516\pi$
$614$	−3.78832	+	6.60231i	−0.152884	+	0.266448i
$615$	3.78051	+	7.37072i	0.152445	+	0.297216i
$616$	27.5352	+	18.4892i	1.10943	+	0.744952i
$617$	6.01866	+	10.4246i	0.242302	+	0.419680i	0.961370	−	0.275261i	$-0.0887642\pi$
$617$	6.01866	+	10.4246i	0.242302	+	0.419680i	−0.719068	+	0.694940i	$0.755431\pi$
$618$	−1.84941	+	2.88154i	−0.0743941	+	0.115912i
$619$		−	9.93568i		−	0.399349i	−0.979862	−	0.199674i	$-0.936012\pi$
$619$		−	9.93568i		−	0.399349i	0.979862	−	0.199674i	$-0.0639884\pi$
$620$	−0.0252781	−	4.72104i	−0.00101519	−	0.189602i
$621$	1.96792	−	13.1070i	0.0789698	−	0.525965i
$622$	28.9293	−	16.8057i	1.15996	−	0.673849i
$623$	2.60656	−	1.25218i	0.104430	−	0.0501676i
$624$	−14.9255	−	0.581912i	−0.597499	−	0.0232951i
$625$	19.1459			0.765835
$626$	−0.0396442	−	14.8083i	−0.00158450	−	0.591860i
$627$	3.29502	+	2.12726i	0.131590	+	0.0849547i
$628$	−0.233854	−	43.6756i	−0.00933179	−	1.74285i
$629$		−	43.7772i		−	1.74551i
$630$	6.67433	−	2.44514i	0.265912	−	0.0974168i
$631$	34.3396			1.36704			0.683518	−	0.729934i	$-0.260449\pi$
$631$	34.3396			1.36704			0.683518	+	0.729934i	$0.260449\pi$
$632$	−24.2473	+	14.2600i	−0.964505	+	0.567234i
$633$	9.94432	+	19.3880i	0.395251	+	0.770605i
$634$	3.08177	−	0.00825037i	0.122393	−	0.000327664i
$635$			8.04782i			0.319368i
$636$	−8.46725	+	13.2707i	−0.335748	+	0.526219i
$637$	11.7811	+	9.43207i	0.466784	+	0.373712i
$638$	−41.6371	+	24.1880i	−1.64843	+	0.957614i
$639$	26.5926	+	2.65078i	1.05199	+	0.104863i
$640$	−3.46526	+	6.27052i	−0.136977	+	0.247864i
$641$	37.7997			1.49300			0.746499	−	0.665386i	$-0.231733\pi$
$641$	37.7997			1.49300			0.746499	+	0.665386i	$0.231733\pi$
$642$	6.40054	−	3.30458i	0.252609	−	0.130421i
$643$	27.9625	−	16.1442i	1.10273	−	0.636663i	0.165796	−	0.986160i	$-0.446981\pi$
$643$	27.9625	−	16.1442i	1.10273	−	0.636663i	0.936938	+	0.349497i	$0.113647\pi$
$644$	0.949452	−	13.4637i	0.0374136	−	0.530543i
$645$	6.72509	+	4.34172i	0.264800	+	0.170955i
$646$	−2.63325	+	4.58926i	−0.103604	+	0.180562i
$647$	−1.79811	−	3.11442i	−0.0706910	−	0.122440i	0.828513	−	0.559969i	$-0.189187\pi$
$647$	−1.79811	−	3.11442i	−0.0706910	−	0.122440i	−0.899204	+	0.437529i	$0.855854\pi$
$648$	4.82443	−	24.9945i	0.189521	−	0.981877i
$649$	−26.5436	+	45.9749i	−1.04193	+	1.80467i
$650$	−14.0222	+	0.0375396i	−0.549996	+	0.00147242i
$651$	6.62339	+	15.7463i	0.259591	+	0.617146i
$652$	−0.0405105	−	7.56590i	−0.00158651	−	0.296304i
$653$			15.4150i			0.603236i	0.953429	+	0.301618i	$0.0975267\pi$
$653$			15.4150i			0.603236i	−0.953429	+	0.301618i	$0.902473\pi$
$654$	1.56160	−	33.2015i	0.0610634	−	1.29828i
$655$	−1.75067			−0.0684045
$656$	30.2085	−	0.323503i	1.17944	−	0.0126307i
$657$	5.83559	+	12.9199i	0.227668	+	0.504053i
$658$	21.6971	−	31.9417i	0.845841	−	1.24522i
$659$	−7.64627	−	4.41458i	−0.297856	−	0.171967i	0.343623	−	0.939108i	$-0.388346\pi$
$659$	−7.64627	−	4.41458i	−0.297856	−	0.171967i	−0.641480	+	0.767140i	$0.721679\pi$
$660$	−8.62691	+	4.48333i	−0.335802	+	0.174513i
$661$	38.8471	+	22.4284i	1.51098	+	0.872363i	0.999918	+	0.0128172i	$0.00407994\pi$
$661$	38.8471	+	22.4284i	1.51098	+	0.872363i	0.511059	+	0.859546i	$0.329253\pi$
$662$	37.0007	−	0.0990564i	1.43807	−	0.00384994i
$663$	14.8318	−	22.9738i	0.576021	−	0.892227i
$664$	20.2041	−	35.6527i	0.784071	−	1.38359i
$665$	0.771560	−	0.370654i	0.0299198	−	0.0143734i
$666$	10.5020	+	23.0864i	0.406946	+	0.894579i
$667$	16.9703	+	9.79782i	0.657093	+	0.379373i
$668$	7.80281	−	13.6835i	0.301900	−	0.529432i
$669$	−1.66492	−	1.07487i	−0.0643696	−	0.0415570i
$670$	−3.28011	+	1.90550i	−0.126722	+	0.0736159i
$671$	1.85139	+	3.20671i	0.0714723	+	0.123794i
$672$	2.89854	−	25.7604i	0.111814	−	0.993729i
$673$	9.54530	−	16.5330i	0.367944	−	0.637298i	−0.621300	−	0.783573i	$-0.713395\pi$
$673$	9.54530	−	16.5330i	0.367944	−	0.637298i	0.989244	+	0.146275i	$0.0467283\pi$
$674$	−0.0898424	−	33.5589i	−0.00346060	−	1.29264i
$675$	3.54821	−	23.6322i	0.136571	−	0.909605i
$676$	−16.7035	+	0.0894363i	−0.642443	+	0.00343986i
$677$	−14.3934	+	8.31006i	−0.553185	+	0.319382i	−0.750406	−	0.660978i	$-0.770142\pi$
$677$	−14.3934	+	8.31006i	−0.553185	+	0.319382i	0.197221	+	0.980359i	$0.436809\pi$
$678$	−27.1418	−	1.27659i	−1.04238	−	0.0490271i
$679$	−32.7204	+	15.7187i	−1.25569	+	0.603230i
$680$	−6.64901	−	11.3057i	−0.254978	−	0.433556i
$681$	−18.2440	−	0.907045i	−0.699112	−	0.0347581i
$682$	−11.7367	−	20.2035i	−0.449422	−	0.773632i
$683$	14.5711	−	8.41260i	0.557546	−	0.321899i	−0.194614	−	0.980880i	$-0.562345\pi$
$683$	14.5711	−	8.41260i	0.557546	−	0.321899i	0.752160	+	0.658981i	$0.229012\pi$
$684$	0.287723	−	3.05191i	0.0110014	−	0.116693i
$685$			2.18334i			0.0834209i
$686$	−17.8186	+	19.1963i	−0.680316	+	0.732919i
$687$	−3.58863	−	0.178417i	−0.136915	−	0.00680705i
$688$	25.1243	−	14.8665i	0.957856	−	0.566780i
$689$	4.89863	−	8.48468i	0.186623	−	0.323241i
$690$	3.32967	+	2.13702i	0.126758	+	0.0813551i
$691$	38.7860	−	22.3931i	1.47549	−	0.851873i	0.475870	−	0.879516i	$-0.342133\pi$
$691$	38.7860	−	22.3931i	1.47549	−	0.851873i	0.999618	+	0.0276424i	$0.00879998\pi$
$692$	−44.6392	−	25.4548i	−1.69693	−	0.967645i
$693$	22.6280	−	26.9354i	0.859568	−	1.02319i
$694$	−11.8545	−	20.4063i	−0.449991	−	0.774611i
$695$	0.482979	+	0.836544i	0.0183204	+	0.0317319i
$696$	31.7820	+	20.1587i	1.20469	+	0.764112i
$697$	−27.6535	+	47.8973i	−1.04745	+	1.81424i
$698$	−6.15663	−	10.5980i	−0.233032	−	0.401139i
$699$	−34.0655	−	21.9927i	−1.28848	−	0.831840i
$700$	1.71189	−	24.2754i	0.0647033	−	0.917522i
$701$		−	36.8845i		−	1.39311i	−0.717505	−	0.696553i	$-0.754716\pi$
$701$		−	36.8845i		−	1.39311i	0.717505	−	0.696553i	$-0.245284\pi$
$702$	−2.31038	+	15.6736i	−0.0871998	+	0.591561i
$703$	1.52712	+	2.64505i	0.0575964	+	0.0997599i
$704$	0.569515	+	35.4523i	0.0214644	+	1.33616i
$705$	5.16579	+	10.0715i	0.194555	+	0.379316i
$706$	18.9866	+	10.8942i	0.714569	+	0.410010i
$707$	6.38752	−	9.34953i	0.240228	−	0.351625i
$708$	41.4519	+	1.83844i	1.55786	+	0.0690929i
$709$	11.7565	−	6.78761i	0.441524	−	0.254914i	−0.262720	−	0.964872i	$-0.584620\pi$
$709$	11.7565	−	6.78761i	0.441524	−	0.254914i	0.704244	+	0.709958i	$0.251286\pi$
$710$	−3.97028	+	6.91944i	−0.149002	+	0.259682i
$711$	12.2815	+	27.1910i	0.460593	+	1.01974i
$712$	2.68956	+	1.52415i	0.100795	+	0.0571198i
$713$	−4.75418	+	8.23448i	−0.178045	+	0.308384i
$714$	37.8851	+	28.5832i	1.41781	+	1.06970i
$715$	5.24022	−	3.02544i	0.195973	−	0.113145i
$716$	−4.26070	−	2.42959i	−0.159230	−	0.0907982i
$717$	−0.757285	+	0.388419i	−0.0282813	+	0.0145058i
$718$	−45.0081	+	26.1464i	−1.67969	+	0.975773i
$719$	13.7497	−	23.8152i	0.512777	−	0.888155i	−0.487113	−	0.873339i	$-0.661950\pi$
$719$	13.7497	−	23.8152i	0.512777	−	0.888155i	0.999890	−	0.0148167i	$-0.00471649\pi$
$720$	6.21865	+	4.36713i	0.231755	+	0.162753i
$721$	3.05369	+	2.08626i	0.113725	+	0.0776963i
$722$	0.0709467	+	26.5008i	0.00264036	+	0.986258i
$723$	−1.90168	+	38.2498i	−0.0707242	+	1.42252i
$724$	−19.9912	+	11.6851i	−0.742967	+	0.434273i
$725$	30.5980	+	17.6657i	1.13638	+	0.656089i
$726$	−11.4359	+	17.8182i	−0.424427	+	0.661294i
$727$	−23.6749	+	41.0062i	−0.878054	+	1.52083i	−0.0245805	+	0.999698i	$0.507825\pi$
$727$	−23.6749	+	41.0062i	−0.878054	+	1.52083i	−0.853473	+	0.521136i	$0.825508\pi$
$728$	−1.09183	+	16.0967i	−0.0404660	+	0.596582i
$729$	−25.8095	−	7.92897i	−0.955908	−	0.293665i
$730$	−4.23191	+	0.0113295i	−0.156630	+	0.000419322i
$731$			53.4452i			1.97674i
$732$	1.55667	−	2.43976i	0.0575360	−	0.0901763i
$733$		−	5.77764i		−	0.213402i	−0.994291	−	0.106701i	$-0.965971\pi$
$733$		−	5.77764i		−	0.213402i	0.994291	−	0.106701i	$-0.0340288\pi$
$734$	−5.10192	−	2.92741i	−0.188315	−	0.108053i
$735$	−2.43267	−	7.28206i	−0.0897305	−	0.268603i
$736$	12.3982	−	7.38112i	0.457004	−	0.272072i
$737$	−9.38700	+	16.2588i	−0.345775	+	0.598899i
$738$	3.09294	−	31.8932i	0.113853	−	1.17400i
$739$	−5.71236	+	3.29803i	−0.210133	+	0.121320i	−0.601373	−	0.798968i	$-0.705379\pi$
$739$	−5.71236	+	3.29803i	−0.210133	+	0.121320i	0.391240	+	0.920288i	$0.372046\pi$
$740$	−7.57103	+	0.0405379i	−0.278317	+	0.00149020i
$741$	−0.0947357	+	1.90548i	−0.00348020	+	0.0699996i
$742$	14.0651	+	9.55406i	0.516347	+	0.350741i
$743$	22.5756	+	39.1021i	0.828219	+	1.43452i	0.899434	+	0.437056i	$0.143979\pi$
$743$	22.5756	+	39.1021i	0.828219	+	1.43452i	−0.0712151	+	0.997461i	$0.522688\pi$
$744$	−9.78156	+	15.4215i	−0.358609	+	0.565381i
$745$	−8.90487			−0.326249
$746$	−24.2316	+	42.2311i	−0.887182	+	1.54619i
$747$	−35.3008	−	25.3592i	−1.29159	−	0.927846i
$748$	−56.3886	−	32.1547i	−2.06177	−	1.17569i
$749$	−3.36909	−	7.01315i	−0.123104	−	0.256255i
$750$	12.5304	+	8.04219i	0.457547	+	0.293659i
$751$	−48.9298			−1.78547			−0.892737	−	0.450578i	$-0.851218\pi$
$751$	−48.9298			−1.78547			−0.892737	+	0.450578i	$0.851218\pi$
$752$	41.2777	−	0.442042i	1.50524	−	0.0161196i
$753$	4.01657	+	0.199694i	0.146372	+	0.00727724i
$754$	−20.3166	−	11.6574i	−0.739888	−	0.424538i
$755$		−	5.17937i		−	0.188497i
$756$	−26.8361	−	5.98510i	−0.976021	−	0.217676i
$757$		−	30.4326i		−	1.10609i	−0.833150	−	0.553047i	$-0.813465\pi$
$757$		−	30.4326i		−	1.10609i	0.833150	−	0.553047i	$-0.186535\pi$
$758$	6.24280	−	10.8800i	0.226749	−	0.395180i
$759$	19.5567	+	0.972310i	0.709864	+	0.0352926i
$760$	0.796126	+	0.451157i	0.0288785	+	0.0163652i
$761$	12.9884			0.470830			0.235415	−	0.971895i	$-0.424355\pi$
$761$	12.9884			0.470830			0.235415	+	0.971895i	$0.424355\pi$
$762$	16.8146	−	26.1986i	0.609129	−	0.949076i
$763$	−35.7984	−	2.71719i	−1.29599	−	0.0983689i
$764$	−15.2098	+	26.6730i	−0.550273	+	0.964996i
$765$	−12.6783	+	5.72649i	−0.458386	+	0.207042i
$766$	−15.7618	−	9.04391i	−0.569497	−	0.326770i
$767$	−25.8237			−0.932441
$768$	24.3819	−	13.1727i	0.879807	−	0.475330i
$769$	−14.8588	−	25.7362i	−0.535821	−	0.928070i	−0.999123	−	0.0418691i	$-0.986669\pi$
$769$	−14.8588	−	25.7362i	−0.535821	−	0.928070i	0.463302	−	0.886201i	$-0.346665\pi$
$770$	4.57262	+	9.45351i	0.164786	+	0.340681i
$771$	0.0328484	−	0.660701i	0.00118301	−	0.0237946i
$772$	39.1077	−	0.209396i	1.40752	−	0.00753634i
$773$	1.96354	−	1.13365i	0.0706236	−	0.0407746i	−0.464272	−	0.885692i	$-0.653684\pi$
$773$	1.96354	−	1.13365i	0.0706236	−	0.0407746i	0.534896	+	0.844918i	$0.320351\pi$
$774$	−12.8214	−	28.1849i	−0.460854	−	1.01308i
$775$	−8.57192	+	14.8470i	−0.307912	+	0.533320i
$776$	−33.7622	−	19.1327i	−1.21199	−	0.686825i
$777$	25.2520	−	10.6218i	0.905910	−	0.381055i
$778$	13.8977	−	24.2210i	0.498256	−	0.868365i
$779$		−	3.85865i		−	0.138251i
$780$	−3.98692	−	2.54381i	−0.142755	−	0.0910831i
$781$			39.4818i			1.41277i
$782$	0.0707187	+	26.4156i	0.00252890	+	0.944622i
$783$	24.8713	−	31.2241i	0.888828	−	1.11586i
$784$	−27.7229	−	3.92955i	−0.990103	−	0.140341i
$785$	6.91440	−	11.9761i	0.246786	−	0.427445i
$786$	5.69909	+	3.65775i	0.203280	+	0.130468i
$787$	−12.8233	−	7.40356i	−0.457103	−	0.263908i	0.253722	−	0.967277i	$-0.418345\pi$
$787$	−12.8233	−	7.40356i	−0.457103	−	0.263908i	−0.710825	+	0.703369i	$0.751678\pi$
$788$	23.8793	−	13.9577i	0.850663	−	0.497223i
$789$	−1.80972	+	36.4002i	−0.0644278	+	1.29588i
$790$	−8.90642	+	0.0238438i	−0.316876	+	0.000848325i
$791$	−2.22127	+	29.2648i	−0.0789793	+	1.04053i
$792$	37.4510	+	3.42962i	1.33076	+	0.121866i
$793$	−0.900591	+	1.55987i	−0.0319809	+	0.0553926i
$794$	−14.1897	−	24.4260i	−0.503574	−	0.866847i
$795$	−4.43488	+	2.27469i	−0.157289	+	0.0806751i
$796$	−16.8250	+	29.5054i	−0.596345	+	1.04579i
$797$	15.4619	−	8.92690i	0.547687	−	0.316207i	−0.200502	−	0.979693i	$-0.564257\pi$
$797$	15.4619	−	8.92690i	0.547687	−	0.316207i	0.748189	+	0.663486i	$0.230924\pi$
$798$	−3.28614	−	0.405434i	−0.116328	−	0.0143522i
$799$	−37.7865	+	65.4481i	−1.33679	+	2.31539i
$800$	22.3543	−	13.3084i	0.790344	−	0.470522i
$801$	1.91304	−	2.66301i	0.0675939	−	0.0940928i
$802$	21.6182	+	12.4042i	0.763365	+	0.438008i
$803$	−18.1382	+	10.4721i	−0.640082	+	0.369552i
$804$	14.6592	+	0.650155i	0.516990	+	0.0229292i
$805$	2.41071	−	3.52860i	0.0849663	−	0.124367i
$806$	5.65650	−	9.85821i	0.199242	−	0.347241i
$807$	9.58008	+	18.6779i	0.337235	+	0.657493i
$808$	12.1046	−	0.0972193i	0.425838	−	0.00342016i
$809$	−2.55518	−	4.42570i	−0.0898354	−	0.155600i	0.817606	−	0.575778i	$-0.195301\pi$
$809$	−2.55518	−	4.42570i	−0.0898354	−	0.155600i	−0.907441	+	0.420179i	$0.861967\pi$
$810$	5.31229	−	6.06142i	0.186655	−	0.212977i
$811$		−	24.9319i		−	0.875479i	−0.899102	−	0.437739i	$-0.855779\pi$
$811$		−	24.9319i		−	0.875479i	0.899102	−	0.437739i	$-0.144221\pi$
$812$	22.7519	−	33.6882i	0.798436	−	1.18223i
$813$	27.0344	+	17.4534i	0.948137	+	0.612116i
$814$	−32.3999	+	18.8219i	−1.13562	+	0.659709i
$815$	1.19778	−	2.07461i	0.0419564	−	0.0726706i
$816$	−1.97654	+	50.6964i	−0.0691926	+	1.77473i
$817$	−1.86438	−	3.22919i	−0.0652262	−	0.112975i
$818$	7.55253	−	4.38745i	0.264068	−	0.153404i
$819$	16.8506	+	2.98126i	0.588809	+	0.104174i
$820$	8.30919	+	4.73818i	0.290170	+	0.165464i
$821$	49.1354	−	28.3684i	1.71484	−	0.990063i	0.787106	−	0.616818i	$-0.211579\pi$
$821$	49.1354	−	28.3684i	1.71484	−	0.990063i	0.927733	−	0.373245i	$-0.121755\pi$
$822$	4.56172	−	7.10756i	0.159108	−	0.247905i
$823$	17.7786	−	30.7934i	0.619723	−	1.07339i	−0.369813	−	0.929106i	$-0.620578\pi$
$823$	17.7786	−	30.7934i	0.619723	−	1.07339i	0.989536	−	0.144285i	$-0.0460883\pi$
$824$	0.0317532	+	3.95353i	0.00110618	+	0.137728i
$825$	35.2613	+	1.75310i	1.22764	+	0.0610352i
$826$	3.27233	−	44.6975i	0.113859	−	1.55523i
$827$			16.7815i			0.583549i	0.956487	+	0.291775i	$0.0942457\pi$
$827$			16.7815i			0.583549i	−0.956487	+	0.291775i	$0.905754\pi$
$828$	−6.37434	−	13.9136i	−0.221524	−	0.483531i
$829$	−32.3028	+	18.6500i	−1.12192	+	0.647741i	−0.941891	−	0.335920i	$-0.890953\pi$
$829$	−32.3028	+	18.6500i	−1.12192	+	0.647741i	−0.180030	+	0.983661i	$0.557620\pi$
$830$	11.2193	−	6.51755i	0.389426	−	0.226228i
$831$	−8.46588	−	0.420902i	−0.293678	−	0.0146009i
$832$	−14.7964	+	8.86261i	−0.512974	+	0.307256i
$833$	32.0372	−	40.0159i	1.11002	−	1.38647i
$834$	0.175548	−	3.73236i	0.00607873	−	0.129241i
$835$	4.31921	−	2.49369i	0.149472	−	0.0862979i
$836$	4.52872	−	0.0242483i	0.156629	−	0.000838645i
$837$	15.1508	+	12.0683i	0.523689	+	0.417140i
$838$	9.13327	−	0.0244511i	0.315503	−	0.000844651i
$839$	−3.62492	+	6.27854i	−0.125146	+	0.216759i	−0.921790	−	0.387690i	$-0.873273\pi$
$839$	−3.62492	+	6.27854i	−0.125146	+	0.216759i	0.796644	+	0.604449i	$0.206607\pi$
$840$	4.90822	−	6.57849i	0.169350	−	0.226980i
$841$	15.0098	+	25.9977i	0.517579	+	0.896473i
$842$	−26.1713	−	45.0510i	−0.901921	−	1.55256i
$843$	5.87463	+	3.79266i	0.202333	+	0.130626i
$844$	21.8566	+	12.4634i	0.752336	+	0.429007i
$845$	−4.58020	−	2.64438i	−0.157564	−	0.0909694i
$846$	4.22627	−	43.5796i	0.145302	−	1.49830i
$847$	18.8827	+	12.9005i	0.648817	+	0.443266i
$848$	0.194648	+	18.1761i	0.00668424	+	0.624171i
$849$	0.246342	−	0.381571i	0.00845442	−	0.0130955i
$850$	0.127508	+	47.6282i	0.00437348	+	1.63363i
$851$	13.2055	+	7.62418i	0.452677	+	0.261353i
$852$	27.3818	−	14.2301i	0.938084	−	0.487514i
$853$	−22.9618	−	13.2570i	−0.786199	−	0.453912i	0.0524239	−	0.998625i	$-0.483305\pi$
$853$	−22.9618	−	13.2570i	−0.786199	−	0.453912i	−0.838623	+	0.544713i	$0.816639\pi$
$854$	−2.58581	−	1.75647i	−0.0884846	−	0.0601051i
$855$	0.566272	−	0.788268i	0.0193661	−	0.0269582i
$856$	4.10083	−	7.23645i	0.140163	−	0.247337i
$857$	−17.7712			−0.607053			−0.303527	−	0.952823i	$-0.598164\pi$
$857$	−17.7712			−0.607053			−0.303527	+	0.952823i	$0.598164\pi$
$858$	−23.3800	−	1.09966i	−0.798181	−	0.0375416i
$859$		−	41.1564i		−	1.40424i	−0.712060	−	0.702119i	$-0.752237\pi$
$859$		−	41.1564i		−	1.40424i	0.712060	−	0.702119i	$-0.247763\pi$
$860$	9.24305	−	0.0494905i	0.315186	−	0.00168761i
$861$	−34.3383	−	4.32991i	−1.17024	−	0.147563i
$862$	−0.0344602	−	12.8719i	−0.00117372	−	0.438420i
$863$	−9.84597	+	17.0537i	−0.335161	+	0.580516i	−0.983516	−	0.180823i	$-0.942124\pi$
$863$	−9.84597	+	17.0537i	−0.335161	+	0.580516i	0.648355	+	0.761338i	$0.275457\pi$
$864$	−11.1196	−	27.2095i	−0.378296	−	0.925685i
$865$	−8.13507	−	14.0904i	−0.276601	−	0.479087i
$866$	8.25771	+	4.73816i	0.280609	+	0.161009i
$867$	−53.2957	−	34.4077i	−1.81002	−	1.16855i
$868$	16.3465	+	11.0399i	0.554836	+	0.374718i
$869$	−38.1734	+	22.0394i	−1.29494	+	0.747636i
$870$	5.46675	+	10.5884i	0.185340	+	0.358980i
$871$	−9.13241			−0.309440
$872$	−19.4564	−	33.0830i	−0.658877	−	1.12033i
$873$	−24.0145	+	33.4289i	−0.812767	+	1.13140i
$874$	−0.925754	−	1.59358i	−0.0313141	−	0.0539038i
$875$	9.07213	−	13.2790i	0.306694	−	0.448914i
$876$	13.8001	+	8.80500i	0.466262	+	0.297493i
$877$			29.3972i			0.992672i	0.868130	+	0.496336i	$0.165322\pi$
$877$			29.3972i			0.992672i	−0.868130	+	0.496336i	$0.834678\pi$
$878$	−0.125926	−	47.0374i	−0.00424981	−	1.58744i
$879$	−1.60098	−	3.12136i	−0.0539996	−	0.105281i
$880$	−5.50876	+	9.78189i	−0.185700	+	0.329747i
$881$	49.0055			1.65104			0.825519	−	0.564375i	$-0.190883\pi$
$881$	49.0055			1.65104			0.825519	+	0.564375i	$0.190883\pi$
$882$	−7.29544	+	28.7885i	−0.245650	+	0.969359i
$883$		−	17.7709i		−	0.598038i	−0.954247	−	0.299019i	$-0.903341\pi$
$883$		−	17.7709i		−	0.598038i	0.954247	−	0.299019i	$-0.0966594\pi$
$884$	−0.169066	−	31.5754i	−0.00568629	−	1.06200i
$885$	11.0371	+	7.12557i	0.371009	+	0.239523i
$886$	−40.9017	+	0.109500i	−1.37412	+	0.00367873i
$887$	−46.9198			−1.57541			−0.787706	−	0.616051i	$-0.788731\pi$
$887$	−46.9198			−1.57541			−0.787706	+	0.616051i	$0.788731\pi$
$888$	24.7312	+	15.6865i	0.829925	+	0.526404i
$889$	−27.7638	−	18.9680i	−0.931169	−	0.636167i
$890$	0.491668	+	0.846353i	0.0164808	+	0.0283698i
$891$	7.87412	−	39.1041i	0.263793	−	1.31004i
$892$	−2.28829	+	0.0122523i	−0.0766176	+	0.000410237i
$893$		−	5.27256i		−	0.176439i
$894$	28.9886	+	18.6053i	0.969525	+	0.622254i
$895$	−0.776473	−	1.34489i	−0.0259546	−	0.0449547i
$896$	−13.4651	−	26.7337i	−0.449836	−	0.893111i
$897$	4.34698	+	8.47513i	0.145141	+	0.282976i
$898$	−12.1312	−	6.96074i	−0.404825	−	0.232283i
$899$	−24.8012	+	14.3190i	−0.827167	+	0.477565i
$900$	−11.4931	−	25.0866i	−0.383104	−	0.836221i
$901$	−28.8193	−	16.6388i	−0.960110	−	0.554319i
$902$	47.3389	−	0.126733i	1.57621	−	0.00421976i
$903$	−30.8288	+	12.9676i	−1.02592	+	0.431533i
$904$	−27.0450	+	15.9054i	−0.899502	+	0.529005i
$905$	−7.33160			−0.243711
$906$	−10.8215	+	16.8608i	−0.359519	+	0.560162i
$907$		−	16.9922i		−	0.564218i	−0.959382	−	0.282109i	$-0.908966\pi$
$907$		−	16.9922i		−	0.564218i	0.959382	−	0.282109i	$-0.0910340\pi$
$908$	−18.2098	+	10.6439i	−0.604314	+	0.353229i
$909$	1.27352	−	12.7760i	0.0422401	−	0.423752i
$910$	−2.87032	+	4.22558i	−0.0951502	+	0.140077i
$911$	11.5929	−	20.0795i	0.384090	−	0.665263i	−0.607553	−	0.794279i	$-0.707849\pi$
$911$	11.5929	−	20.0795i	0.384090	−	0.665263i	0.991642	+	0.129016i	$0.0411820\pi$
$912$	−1.64906	−	3.13206i	−0.0546060	−	0.103713i
$913$	32.1072	−	55.6113i	1.06259	−	1.84047i
$914$	0.0521092	+	19.4644i	0.00172362	+	0.643825i
$915$	0.815331	−	0.418192i	0.0269540	−	0.0138250i
$916$	−3.58190	+	2.09366i	−0.118349	+	0.0691766i
$917$	4.12619	−	6.03957i	0.136259	−	0.199444i
$918$	53.2372	+	7.84751i	1.75709	+	0.259006i
$919$	12.6579	−	21.9241i	0.417545	−	0.723210i	−0.578147	−	0.815933i	$-0.696224\pi$
$919$	12.6579	−	21.9241i	0.417545	−	0.723210i	0.995692	+	0.0927233i	$0.0295572\pi$
$920$	4.56838	−	0.0366914i	0.150615	−	0.00120968i
$921$	9.31120	+	0.462929i	0.306815	+	0.0152540i
$922$	−3.39082	−	5.83693i	−0.111671	−	0.192229i
$923$	−16.6324	+	9.60274i	−0.547463	+	0.316078i
$924$	4.86603	−	40.3284i	0.160081	−	1.32671i
$925$	23.8098	+	13.7466i	0.782862	+	0.451986i
$926$	−0.0473405	−	17.6832i	−0.00155570	−	0.581104i
$927$	4.17281	+	0.415951i	0.137053	+	0.0136616i
$928$	43.4544	−	0.581704i	1.42646	−	0.0190954i
$929$	−4.64813	−	8.05079i	−0.152500	−	0.264138i	0.779646	−	0.626221i	$-0.215399\pi$
$929$	−4.64813	−	8.05079i	−0.152500	−	0.264138i	−0.932146	+	0.362083i	$0.882066\pi$
$930$	−5.13779	+	2.65262i	−0.168475	+	0.0869829i
$931$	−0.539798	+	3.53537i	−0.0176912	+	0.115867i
$932$	−46.8201	+	0.250691i	−1.53364	+	0.00821165i
$933$	−34.4248	−	22.2246i	−1.12702	−	0.727602i
$934$	0.946561	+	1.62940i	0.0309724	+	0.0533157i
$935$	−10.2763	−	17.7991i	−0.336071	−	0.582091i
$936$	7.66402	+	16.6111i	0.250506	+	0.542950i
$937$	10.0607			0.328667			0.164334	−	0.986405i	$-0.447453\pi$
$937$	10.0607			0.328667			0.164334	+	0.986405i	$0.447453\pi$
$938$	1.15724	−	15.8070i	0.0377852	−	0.516117i
$939$	−16.1376	+	8.27713i	−0.526630	+	0.270114i
$940$	11.3539	+	6.47436i	0.370323	+	0.211170i
$941$	23.2042	+	13.3970i	0.756436	+	0.436728i	0.828015	−	0.560707i	$-0.189470\pi$
$941$	23.2042	+	13.3970i	0.756436	+	0.436728i	−0.0715790	+	0.997435i	$0.522804\pi$
$942$	−47.5310	+	24.5401i	−1.54864	+	0.799559i
$943$	−9.63220	−	16.6835i	−0.313668	−	0.543288i
$944$	41.2337	−	24.3987i	1.34204	−	0.794111i
$945$	−6.37939	−	5.92381i	−0.207522	−	0.192702i
$946$	39.5553	−	22.9787i	1.28605	−	0.747101i
$947$	−48.0598	+	27.7473i	−1.56173	+	0.901667i	−0.564652	+	0.825329i	$0.690989\pi$
$947$	−48.0598	+	27.7473i	−1.56173	+	0.901667i	−0.997082	+	0.0763380i	$0.975677\pi$
$948$	29.0435	+	18.5309i	0.943289	+	0.601855i
$949$	−8.82313	−	5.09403i	−0.286411	−	0.165359i
$950$	−1.66916	−	2.87328i	−0.0541547	−	0.0932214i
$951$	−1.72256	−	3.35840i	−0.0558578	−	0.108904i
$952$	54.6744	+	3.70854i	1.77201	+	0.120194i
$953$	−25.6815			−0.831904			−0.415952	−	0.909386i	$-0.636552\pi$
$953$	−25.6815			−0.831904			−0.415952	+	0.909386i	$0.636552\pi$
$954$	19.1898	+	1.86099i	0.621292	+	0.0602517i
$955$	−8.41934	+	4.86091i	−0.272443	+	0.157295i
$956$	−0.486811	+	0.853706i	−0.0157446	+	0.0276108i
$957$	49.5467	+	31.9873i	1.60162	+	1.03400i
$958$	0.597793	+	0.343006i	0.0193138	+	0.0110820i
$959$	−7.53219	−	5.14593i	−0.243227	−	0.166171i
$960$	8.76950	+	0.294886i	0.283034	+	0.00951740i
$961$	8.55202	+	14.8125i	0.275872	+	0.477824i
$962$	−15.8094	−	9.07121i	−0.509715	−	0.292468i
$963$	−7.16502	−	5.14717i	−0.230889	−	0.165865i
$964$	22.3155	+	38.1781i	0.718735	+	1.22963i
$965$	10.7236	+	6.19126i	0.345204	+	0.199304i
$966$	−15.2202	+	6.45010i	−0.489701	+	0.207529i
$967$	21.6248	+	37.4552i	0.695405	+	1.20448i	0.970044	+	0.242930i	$0.0781084\pi$
$967$	21.6248	+	37.4552i	0.695405	+	1.20448i	−0.274639	+	0.961547i	$0.588558\pi$
$968$	0.196348	+	24.4469i	0.00631087	+	0.785753i
$969$	6.47221	+	0.321781i	0.207917	+	0.0103371i
$970$	−6.17194	−	10.6243i	−0.198169	−	0.341127i
$971$	12.1362	+	7.00685i	0.389470	+	0.224861i	0.681930	−	0.731417i	$-0.261141\pi$
$971$	12.1362	+	7.00685i	0.389470	+	0.224861i	−0.292460	+	0.956278i	$0.594474\pi$
$972$	−29.9578	+	8.63301i	−0.960898	+	0.276904i
$973$	−4.02430	−	0.305454i	−0.129013	−	0.00979242i
$974$	0.106961	+	39.9533i	0.00342726	+	1.28019i
$975$	7.83772	+	15.2809i	0.251008	+	0.489380i
$976$	−0.0357851	−	3.34159i	−0.00114545	−	0.106962i
$977$	23.3136	−	40.3803i	0.745868	−	1.29188i	−0.203920	−	0.978988i	$-0.565368\pi$
$977$	23.3136	−	40.3803i	0.745868	−	1.29188i	0.949788	−	0.312894i	$-0.101298\pi$
$978$	−8.23379	+	4.25107i	−0.263287	+	0.135934i
$979$	4.19518	+	2.42209i	0.134079	+	0.0774103i
$980$	−6.95021	−	5.50361i	−0.222016	−	0.175806i
$981$	−37.0995	+	16.7569i	−1.18450	+	0.535007i
$982$	−15.7136	+	0.0420677i	−0.501442	+	0.00134244i
$983$	−29.6484			−0.945639			−0.472819	−	0.881159i	$-0.656764\pi$
$983$	−29.6484			−0.945639			−0.472819	+	0.881159i	$0.656764\pi$
$984$	−17.1498	−	32.7852i	−0.546717	−	1.04515i
$985$	8.75751			0.279038
$986$	−39.5958	+	69.0080i	−1.26099	+	2.19766i
$987$	−46.9207	−	5.91650i	−1.49350	−	0.188324i
$988$	1.11169	+	1.90191i	0.0353675	+	0.0605078i
$989$	−16.1218	−	9.30794i	−0.512644	−	0.295975i
$990$	9.68926	+	6.92127i	0.307945	+	0.219972i
$991$	19.6673	+	34.0648i	0.624753	+	1.08210i	0.988589	+	0.150641i	$0.0481337\pi$
$991$	19.6673	+	34.0648i	0.624753	+	1.08210i	−0.363835	+	0.931463i	$0.618533\pi$
$992$	0.282259	+	21.0853i	0.00896174	+	0.669460i
$993$	−20.6815	−	40.3220i	−0.656309	−	1.27958i
$994$	−14.5135	−	30.0054i	−0.460339	−	0.951714i
$995$	−9.31338	+	5.37708i	−0.295254	+	0.170465i
$996$	−50.1402	−	2.22378i	−1.58875	−	0.0704632i
$997$			38.3337i			1.21404i	0.794687	+	0.607020i	$0.207635\pi$
$997$			38.3337i			1.21404i	−0.794687	+	0.607020i	$0.792365\pi$
$998$	12.8786	−	22.4449i	0.407664	−	0.710480i
$999$	19.3536	−	24.2971i	0.612321	−	0.768725i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.15	✓	184
7.4	even	3		504.2.cq.a.277.77	yes	184
8.5	even	2	inner	504.2.w.a.205.46	yes	184
9.4	even	3		504.2.cq.a.373.77	yes	184
56.53	even	6		504.2.cq.a.277.78	yes	184
63.4	even	3	inner	504.2.w.a.445.46	yes	184
72.13	even	6		504.2.cq.a.373.78	yes	184
504.445	even	6	inner	504.2.w.a.445.15	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.15	✓	184	1.1	even	1	trivial
504.2.w.a.205.46	yes	184	8.5	even	2	inner
504.2.w.a.445.15	yes	184	504.445	even	6	inner
504.2.w.a.445.46	yes	184	63.4	even	3	inner
504.2.cq.a.277.77	yes	184	7.4	even	3
504.2.cq.a.277.78	yes	184	56.53	even	6
504.2.cq.a.373.77	yes	184	9.4	even	3
504.2.cq.a.373.78	yes	184	72.13	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.w (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22663 - 0.703825i) q^{2} +(-0.0860069 + 1.72991i) q^{3} +(1.00926 + 1.72667i) q^{4} +0.633242i q^{5} +(1.32306 - 2.06144i) q^{6} +(-2.18459 - 1.49250i) q^{7} +(-0.0227161 - 2.82834i) q^{8} +(-2.98521 - 0.297569i) q^{9} +O(q^{10})\)	\(q+(-1.22663 - 0.703825i) q^{2} +(-0.0860069 + 1.72991i) q^{3} +(1.00926 + 1.72667i) q^{4} +0.633242i q^{5} +(1.32306 - 2.06144i) q^{6} +(-2.18459 - 1.49250i) q^{7} +(-0.0227161 - 2.82834i) q^{8} +(-2.98521 - 0.297569i) q^{9} +(0.445692 - 0.776756i) q^{10} -4.43211i q^{11} +(-3.07380 + 1.59743i) q^{12} +(1.86711 - 1.07798i) q^{13} +(1.62924 + 3.36832i) q^{14} +(-1.09545 - 0.0544632i) q^{15} +(-1.96279 + 3.48532i) q^{16} +(-3.66148 - 6.34187i) q^{17} +(3.45232 + 2.46607i) q^{18} +(0.442458 + 0.255453i) q^{19} +(-1.09340 + 0.639106i) q^{20} +(2.76978 - 3.65080i) q^{21} +(-3.11943 + 5.43657i) q^{22} +2.55071 q^{23} +(4.89473 + 0.203959i) q^{24} +4.59900 q^{25} +(-3.04896 + 0.00816254i) q^{26} +(0.771517 - 5.13856i) q^{27} +(0.372230 - 5.27839i) q^{28} +(6.65317 + 3.84121i) q^{29} +(1.30539 + 0.837815i) q^{30} +(-1.86386 + 3.22831i) q^{31} +(4.86068 - 2.89375i) q^{32} +(7.66716 + 0.381192i) q^{33} +(0.0277251 + 10.3562i) q^{34} +(0.945112 - 1.38338i) q^{35} +(-2.49904 - 5.45479i) q^{36} +(5.17717 + 2.98904i) q^{37} +(-0.362939 - 0.624761i) q^{38} +(1.70422 + 3.32265i) q^{39} +(1.79102 - 0.0143848i) q^{40} +(-3.77628 - 6.54071i) q^{41} +(-5.96703 + 2.52874i) q^{42} +(-6.32052 - 3.64915i) q^{43} +(7.65279 - 4.47315i) q^{44} +(0.188433 - 1.89036i) q^{45} +(-3.12879 - 1.79526i) q^{46} +(-5.16000 - 8.93739i) q^{47} +(-5.86049 - 3.69522i) q^{48} +(2.54490 + 6.52100i) q^{49} +(-5.64129 - 3.23690i) q^{50} +(11.2858 - 5.78860i) q^{51} +(3.74571 + 2.13593i) q^{52} +(3.93547 - 2.27215i) q^{53} +(-4.56302 + 5.76011i) q^{54} +2.80660 q^{55} +(-4.17166 + 6.21267i) q^{56} +(-0.479967 + 0.743443i) q^{57} +(-5.45746 - 9.39443i) q^{58} +(-10.3732 - 5.98894i) q^{59} +(-1.01156 - 1.94646i) q^{60} +(-0.723518 + 0.417723i) q^{61} +(4.55844 - 2.64811i) q^{62} +(6.07734 + 5.10548i) q^{63} +(-7.99897 + 0.128497i) q^{64} +(0.682620 + 1.18233i) q^{65} +(-9.13651 - 5.86393i) q^{66} +(-3.66840 - 2.11795i) q^{67} +(7.25494 - 12.7228i) q^{68} +(-0.219379 + 4.41251i) q^{69} +(-2.13296 + 1.03170i) q^{70} -8.90812 q^{71} +(-0.773813 + 8.44992i) q^{72} +(-2.36278 - 4.09245i) q^{73} +(-4.24672 - 7.31028i) q^{74} +(-0.395546 + 7.95588i) q^{75} +(0.00547106 + 1.02180i) q^{76} +(-6.61491 + 9.68235i) q^{77} +(0.248111 - 5.27515i) q^{78} +(-4.97267 - 8.61292i) q^{79} +(-2.20705 - 1.24292i) q^{80} +(8.82291 + 1.77661i) q^{81} +(0.0285944 + 10.6809i) q^{82} +(12.5474 + 7.24423i) q^{83} +(9.09915 + 1.09790i) q^{84} +(4.01594 - 2.31860i) q^{85} +(5.18459 + 8.92471i) q^{86} +(-7.21718 + 11.1790i) q^{87} +(-12.5355 + 0.100680i) q^{88} +(-0.546487 + 0.946543i) q^{89} +(-1.56162 + 2.18615i) q^{90} +(-5.68775 - 0.431715i) q^{91} +(2.57433 + 4.40424i) q^{92} +(-5.42439 - 3.50198i) q^{93} +(0.0390721 + 14.5946i) q^{94} +(-0.161764 + 0.280183i) q^{95} +(4.58788 + 8.65744i) q^{96} +(6.86009 - 11.8820i) q^{97} +(1.46798 - 9.79005i) q^{98} +(-1.31886 + 13.2307i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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