LMFDB - Embedded newform 287.2.u.a.8.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(8,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (of order $20$, degree $8$, 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:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.17
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.28791 - 1.77266i) q^{2} +(-1.22984 - 1.22984i) q^{3} +(-0.865568 - 2.66394i) q^{4} +(3.10142 - 1.00771i) q^{5} +(-3.76400 + 0.596159i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-1.66927 - 0.542379i) q^{8} +0.0249934i q^{9} +O(q^{10})$	\(q+(1.28791 - 1.77266i) q^{2} +(-1.22984 - 1.22984i) q^{3} +(-0.865568 - 2.66394i) q^{4} +(3.10142 - 1.00771i) q^{5} +(-3.76400 + 0.596159i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-1.66927 - 0.542379i) q^{8} +0.0249934i q^{9} +(2.20802 - 6.79560i) q^{10} +(-1.99062 + 1.01427i) q^{11} +(-2.21171 + 4.34072i) q^{12} +(0.649038 + 4.09786i) q^{13} +(-1.54936 + 1.54936i) q^{14} +(-5.05356 - 2.57492i) q^{15} +(1.42085 - 1.03231i) q^{16} +(-0.557481 - 1.09412i) q^{17} +(0.0443048 + 0.0321893i) q^{18} +(-0.696875 + 4.39990i) q^{19} +(-5.36898 - 7.38976i) q^{20} +(1.02231 + 1.40708i) q^{21} +(-0.765785 + 4.83498i) q^{22} +(0.305369 + 0.221863i) q^{23} +(1.38589 + 2.71997i) q^{24} +(4.55823 - 3.31174i) q^{25} +(8.10002 + 4.12717i) q^{26} +(-3.65877 + 3.65877i) q^{27} +(0.438179 + 2.76655i) q^{28} +(2.64187 - 5.18497i) q^{29} +(-11.0730 + 5.64197i) q^{30} +(-2.64197 + 8.13115i) q^{31} -7.35855i q^{32} +(3.69552 + 1.20075i) q^{33} +(-2.65748 - 0.420904i) q^{34} +(-3.22088 + 0.510137i) q^{35} +(0.0665811 - 0.0216335i) q^{36} +(-0.813129 - 2.50255i) q^{37} +(6.90200 + 6.90200i) q^{38} +(4.24149 - 5.83791i) q^{39} -5.72367 q^{40} +(4.62316 - 4.43017i) q^{41} +3.81092 q^{42} +(2.29725 - 3.16190i) q^{43} +(4.42497 + 4.42497i) q^{44} +(0.0251862 + 0.0775151i) q^{45} +(0.786576 - 0.255574i) q^{46} +(12.4563 - 1.97289i) q^{47} +(-3.01698 - 0.477842i) q^{48} +(0.951057 + 0.309017i) q^{49} -12.3454i q^{50} +(-0.659975 + 2.03120i) q^{51} +(10.3547 - 5.27598i) q^{52} +(-2.23133 + 4.37923i) q^{53} +(1.77358 + 11.1979i) q^{54} +(-5.15164 + 5.15164i) q^{55} +(1.56387 + 0.796833i) q^{56} +(6.26820 - 4.55411i) q^{57} +(-5.78868 - 11.3609i) q^{58} +(-1.68172 - 1.22184i) q^{59} +(-2.48524 + 15.6912i) q^{60} +(-1.98779 - 2.73595i) q^{61} +(11.0111 + 15.1555i) q^{62} +(0.00390983 - 0.0246857i) q^{63} +(-10.2025 - 7.41255i) q^{64} +(6.14240 + 12.0551i) q^{65} +(6.88802 - 5.00444i) q^{66} +(8.45189 + 4.30645i) q^{67} +(-2.43213 + 2.43213i) q^{68} +(-0.102698 - 0.648409i) q^{69} +(-3.24391 + 6.36652i) q^{70} +(-2.31640 + 1.18027i) q^{71} +(0.0135559 - 0.0417208i) q^{72} +14.5676i q^{73} +(-5.48341 - 1.78167i) q^{74} +(-9.67877 - 1.53297i) q^{75} +(12.3243 - 1.95197i) q^{76} +(2.12478 - 0.690382i) q^{77} +(-4.88596 - 15.0374i) q^{78} +(-11.5688 - 11.5688i) q^{79} +(3.36637 - 4.63342i) q^{80} +9.07436 q^{81} +(-1.89896 - 13.9010i) q^{82} -11.8415 q^{83} +(2.86352 - 3.94129i) q^{84} +(-2.83154 - 2.83154i) q^{85} +(-2.64631 - 8.14449i) q^{86} +(-9.62573 + 3.12759i) q^{87} +(3.87300 - 0.613422i) q^{88} +(-10.9397 - 1.73267i) q^{89} +(0.169845 + 0.0551861i) q^{90} -4.14894i q^{91} +(0.326714 - 1.00552i) q^{92} +(13.2492 - 6.75079i) q^{93} +(12.5454 - 24.6217i) q^{94} +(2.27253 + 14.3482i) q^{95} +(-9.04981 + 9.04981i) q^{96} +(-0.735729 - 0.374873i) q^{97} +(1.77266 - 1.28791i) q^{98} +(-0.0253501 - 0.0497523i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	1.28791	−	1.77266i	0.910691	−	1.25346i	−0.0562386	−	0.998417i	$-0.517911\pi$
$2$	1.28791	−	1.77266i	0.910691	−	1.25346i	0.966930	−	0.255042i	$-0.0820892\pi$
$3$	−1.22984	−	1.22984i	−0.710046	−	0.710046i	0.256498	−	0.966545i	$-0.417431\pi$
$3$	−1.22984	−	1.22984i	−0.710046	−	0.710046i	−0.966545	+	0.256498i	$0.917431\pi$
$4$	−0.865568	−	2.66394i	−0.432784	−	1.33197i
$5$	3.10142	−	1.00771i	1.38700	−	0.450662i	0.482033	−	0.876153i	$-0.339898\pi$
$5$	3.10142	−	1.00771i	1.38700	−	0.450662i	0.904963	+	0.425490i	$0.139898\pi$
$6$	−3.76400	+	0.596159i	−1.53665	+	0.243381i
$7$	−0.987688	−	0.156434i	−0.373311	−	0.0591267i
$7$	−0.987688	−	0.156434i	−0.373311	−	0.0591267i
$8$	−1.66927	−	0.542379i	−0.590176	−	0.191760i
$9$			0.0249934i			0.00833114i
$10$	2.20802	−	6.79560i	0.698239	−	2.14896i
$11$	−1.99062	+	1.01427i	−0.600194	+	0.305814i	−0.727562	−	0.686042i	$-0.759347\pi$
$11$	−1.99062	+	1.01427i	−0.600194	+	0.305814i	0.127369	+	0.991855i	$0.459347\pi$
$12$	−2.21171	+	4.34072i	−0.638465	+	1.25306i
$13$	0.649038	+	4.09786i	0.180011	+	1.13654i	0.897839	+	0.440323i	$0.145136\pi$
$13$	0.649038	+	4.09786i	0.180011	+	1.13654i	−0.717829	+	0.696220i	$0.754864\pi$
$14$	−1.54936	+	1.54936i	−0.414084	+	0.414084i
$15$	−5.05356	−	2.57492i	−1.30482	−	0.664840i
$16$	1.42085	−	1.03231i	0.355212	−	0.258077i
$17$	−0.557481	−	1.09412i	−0.135209	−	0.265363i	0.813468	−	0.581610i	$-0.197577\pi$
$17$	−0.557481	−	1.09412i	−0.135209	−	0.265363i	−0.948677	+	0.316247i	$0.897577\pi$
$18$	0.0443048	+	0.0321893i	0.0104427	+	0.00758710i
$19$	−0.696875	+	4.39990i	−0.159874	+	1.00941i	0.769064	+	0.639172i	$0.220723\pi$
$19$	−0.696875	+	4.39990i	−0.159874	+	1.00941i	−0.928938	+	0.370234i	$0.879277\pi$
$20$	−5.36898	−	7.38976i	−1.20054	−	1.65240i
$21$	1.02231	+	1.40708i	0.223085	+	0.307051i
$22$	−0.765785	+	4.83498i	−0.163266	+	1.03082i
$23$	0.305369	+	0.221863i	0.0636738	+	0.0462617i	0.619167	−	0.785259i	$-0.287470\pi$
$23$	0.305369	+	0.221863i	0.0636738	+	0.0462617i	−0.555493	+	0.831521i	$0.687470\pi$
$24$	1.38589	+	2.71997i	0.282894	+	0.555211i
$25$	4.55823	−	3.31174i	0.911645	−	0.662349i
$26$	8.10002	+	4.12717i	1.58854	+	0.809404i
$27$	−3.65877	+	3.65877i	−0.704131	+	0.704131i
$28$	0.438179	+	2.76655i	0.0828080	+	0.522829i
$29$	2.64187	−	5.18497i	0.490583	−	0.962824i	−0.504465	−	0.863432i	$-0.668310\pi$
$29$	2.64187	−	5.18497i	0.490583	−	0.962824i	0.995048	−	0.0993919i	$-0.0316897\pi$
$30$	−11.0730	+	5.64197i	−2.02164	+	1.03008i
$31$	−2.64197	+	8.13115i	−0.474512	+	1.46040i	0.372103	+	0.928191i	$0.378637\pi$
$31$	−2.64197	+	8.13115i	−0.474512	+	1.46040i	−0.846615	+	0.532206i	$0.821363\pi$
$32$		−	7.35855i		−	1.30082i
$33$	3.69552	+	1.20075i	0.643307	+	0.209023i
$34$	−2.65748	−	0.420904i	−0.455755	−	0.0721845i
$35$	−3.22088	+	0.510137i	−0.544427	+	0.0862288i
$36$	0.0665811	−	0.0216335i	0.0110969	−	0.00360559i
$37$	−0.813129	−	2.50255i	−0.133678	−	0.411417i	0.861704	−	0.507411i	$-0.169397\pi$
$37$	−0.813129	−	2.50255i	−0.133678	−	0.411417i	−0.995382	+	0.0959933i	$0.969397\pi$
$38$	6.90200	+	6.90200i	1.11965	+	1.11965i
$39$	4.24149	−	5.83791i	0.679182	−	0.934814i
$40$	−5.72367			−0.904991
$41$	4.62316	−	4.43017i	0.722016	−	0.691877i
$41$	4.62316	−	4.43017i	0.722016	−	0.691877i
$42$	3.81092			0.588038
$43$	2.29725	−	3.16190i	0.350328	−	0.482185i	−0.597094	−	0.802171i	$-0.703678\pi$
$43$	2.29725	−	3.16190i	0.350328	−	0.482185i	0.947422	+	0.319986i	$0.103678\pi$
$44$	4.42497	+	4.42497i	0.667090	+	0.667090i
$45$	0.0251862	+	0.0775151i	0.00375453	+	0.0115553i
$46$	0.786576	−	0.255574i	0.115974	−	0.0376823i
$47$	12.4563	−	1.97289i	1.81694	−	0.287775i	0.847086	−	0.531457i	$-0.178355\pi$
$47$	12.4563	−	1.97289i	1.81694	−	0.287775i	0.969855	+	0.243681i	$0.0783551\pi$
$48$	−3.01698	−	0.477842i	−0.435463	−	0.0689706i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$		−	12.3454i		−	1.74591i
$51$	−0.659975	+	2.03120i	−0.0924150	+	0.284424i
$52$	10.3547	−	5.27598i	1.43594	−	0.731647i
$53$	−2.23133	+	4.37923i	−0.306497	+	0.601534i	−0.991957	−	0.126576i	$-0.959601\pi$
$53$	−2.23133	+	4.37923i	−0.306497	+	0.601534i	0.685460	+	0.728110i	$0.259601\pi$
$54$	1.77358	+	11.1979i	0.241353	+	1.52384i
$55$	−5.15164	+	5.15164i	−0.694647	+	0.694647i
$56$	1.56387	+	0.796833i	0.208981	+	0.106481i
$57$	6.26820	−	4.55411i	0.830243	−	0.603207i
$58$	−5.78868	−	11.3609i	−0.760091	−	1.49176i
$59$	−1.68172	−	1.22184i	−0.218941	−	0.159070i	0.472909	−	0.881112i	$-0.343204\pi$
$59$	−1.68172	−	1.22184i	−0.218941	−	0.159070i	−0.691850	+	0.722041i	$0.743204\pi$
$60$	−2.48524	+	15.6912i	−0.320843	+	2.02572i
$61$	−1.98779	−	2.73595i	−0.254510	−	0.350303i	0.662574	−	0.748996i	$-0.269464\pi$
$61$	−1.98779	−	2.73595i	−0.254510	−	0.350303i	−0.917084	+	0.398693i	$0.869464\pi$
$62$	11.0111	+	15.1555i	1.39841	+	1.92475i
$63$	0.00390983	−	0.0246857i	0.000492593	−	0.00311011i
$64$	−10.2025	−	7.41255i	−1.27531	−	0.926569i
$65$	6.14240	+	12.0551i	0.761871	+	1.49526i
$66$	6.88802	−	5.00444i	0.847856	−	0.616004i
$67$	8.45189	+	4.30645i	1.03256	+	0.526117i	0.886292	−	0.463127i	$-0.153273\pi$
$67$	8.45189	+	4.30645i	1.03256	+	0.526117i	0.146271	+	0.989245i	$0.453273\pi$
$68$	−2.43213	+	2.43213i	−0.294939	+	0.294939i
$69$	−0.102698	−	0.648409i	−0.0123634	−	0.0780593i
$70$	−3.24391	+	6.36652i	−0.387721	+	0.760945i
$71$	−2.31640	+	1.18027i	−0.274906	+	0.140072i	−0.586009	−	0.810305i	$-0.699302\pi$
$71$	−2.31640	+	1.18027i	−0.274906	+	0.140072i	0.311103	+	0.950376i	$0.399302\pi$
$72$	0.0135559	−	0.0417208i	0.00159758	−	0.00491684i
$73$			14.5676i			1.70501i	0.522718	+	0.852506i	$0.324918\pi$
$73$			14.5676i			1.70501i	−0.522718	+	0.852506i	$0.675082\pi$
$74$	−5.48341	−	1.78167i	−0.637434	−	0.207115i
$75$	−9.67877	−	1.53297i	−1.11761	−	0.177012i
$76$	12.3243	−	1.95197i	1.41369	−	0.223907i
$77$	2.12478	−	0.690382i	0.242141	−	0.0786763i
$78$	−4.88596	−	15.0374i	−0.553226	−	1.70265i
$79$	−11.5688	−	11.5688i	−1.30160	−	1.30160i	−0.927316	−	0.374281i	$-0.877890\pi$
$79$	−11.5688	−	11.5688i	−1.30160	−	1.30160i	−0.374281	−	0.927316i	$-0.622110\pi$
$80$	3.36637	−	4.63342i	0.376372	−	0.518032i
$81$	9.07436			1.00826
$82$	−1.89896	−	13.9010i	−0.209705	−	1.53510i
$83$	−11.8415			−1.29977			−0.649887	−	0.760031i	$-0.725184\pi$
$83$	−11.8415			−1.29977			−0.649887	+	0.760031i	$0.725184\pi$
$84$	2.86352	−	3.94129i	0.312435	−	0.430030i
$85$	−2.83154	−	2.83154i	−0.307123	−	0.307123i
$86$	−2.64631	−	8.14449i	−0.285359	−	0.878243i
$87$	−9.62573	+	3.12759i	−1.03199	+	0.335313i
$88$	3.87300	−	0.613422i	0.412863	−	0.0653910i
$89$	−10.9397	−	1.73267i	−1.15960	−	0.183663i	−0.453157	−	0.891431i	$-0.649702\pi$
$89$	−10.9397	−	1.73267i	−1.15960	−	0.183663i	−0.706445	+	0.707768i	$0.749702\pi$
$90$	0.169845	+	0.0551861i	0.0179033	+	0.00581713i
$91$		−	4.14894i		−	0.434928i
$92$	0.326714	−	1.00552i	0.0340623	−	0.104833i
$93$	13.2492	−	6.75079i	1.37388	−	0.700024i
$94$	12.5454	−	24.6217i	1.29396	−	2.53954i
$95$	2.27253	+	14.3482i	0.233156	+	1.47209i
$96$	−9.04981	+	9.04981i	−0.923642	+	0.923642i
$97$	−0.735729	−	0.374873i	−0.0747020	−	0.0380625i	0.416240	−	0.909255i	$-0.363347\pi$
$97$	−0.735729	−	0.374873i	−0.0747020	−	0.0380625i	−0.490942	+	0.871192i	$0.663347\pi$
$98$	1.77266	−	1.28791i	0.179066	−	0.130099i
$99$	−0.0253501	−	0.0497523i	−0.00254778	−	0.00500030i
$100$	−12.7678	−	9.27632i	−1.27678	−	0.927632i
$101$	−0.956623	+	6.03988i	−0.0951875	+	0.600990i	0.893273	+	0.449514i	$0.148403\pi$
$101$	−0.956623	+	6.03988i	−0.0951875	+	0.600990i	−0.988461	+	0.151476i	$0.951597\pi$
$102$	2.75063	+	3.78591i	0.272353	+	0.374861i
$103$	−2.80737	−	3.86402i	−0.276619	−	0.380733i	0.647992	−	0.761648i	$-0.275609\pi$
$103$	−2.80737	−	3.86402i	−0.276619	−	0.380733i	−0.924610	+	0.380915i	$0.875609\pi$
$104$	1.13917	−	7.19247i	0.111705	−	0.705279i
$105$	4.58853	+	3.33376i	0.447795	+	0.325342i
$106$	4.88913	+	9.59546i	0.474874	+	0.931993i
$107$	−1.75975	+	1.27853i	−0.170121	+	0.123600i	−0.669588	−	0.742733i	$-0.733529\pi$
$107$	−1.75975	+	1.27853i	−0.170121	+	0.123600i	0.499467	+	0.866333i	$0.333529\pi$
$108$	12.9137	+	6.57985i	1.24262	+	0.633146i
$109$	−8.81018	+	8.81018i	−0.843862	+	0.843862i	−0.989359	−	0.145496i	$-0.953522\pi$
$109$	−8.81018	+	8.81018i	−0.843862	+	0.843862i	0.145496	+	0.989359i	$0.453522\pi$
$110$	2.49724	+	15.7670i	0.238103	+	1.50332i
$111$	−2.07772	+	4.07775i	−0.197208	+	0.387043i
$112$	−1.56484	+	0.797327i	−0.147864	+	0.0753403i
$113$	−2.30131	+	7.08269i	−0.216489	+	0.666284i	0.782556	+	0.622580i	$0.213916\pi$
$113$	−2.30131	+	7.08269i	−0.216489	+	0.666284i	−0.999045	+	0.0437034i	$0.986084\pi$
$114$		−	16.9767i		−	1.59001i
$115$	1.17065	+	0.380367i	0.109164	+	0.0354694i
$116$	−16.0992	−	2.54986i	−1.49477	−	0.236749i
$117$	−0.102420	+	0.0162217i	−0.00946870	+	0.00149969i
$118$	−4.33182	+	1.40749i	−0.398776	+	0.129570i
$119$	0.379460	+	1.16786i	0.0347850	+	0.107057i
$120$	7.03917	+	7.03917i	0.642586	+	0.642586i
$121$	−3.53183	+	4.86114i	−0.321075	+	0.441922i
$122$	−7.41000			−0.670870
$123$	−11.1341	−	0.237341i	−1.00393	−	0.0214003i
$124$	23.9477			2.15057
$125$	1.21577	−	1.67336i	0.108742	−	0.149670i
$126$	−0.0387238	−	0.0387238i	−0.00344979	−	0.00344979i
$127$	5.08584	+	15.6526i	0.451295	+	1.38894i	0.875430	+	0.483345i	$0.160578\pi$
$127$	5.08584	+	15.6526i	0.451295	+	1.38894i	−0.424134	+	0.905599i	$0.639422\pi$
$128$	−12.2831	+	3.99101i	−1.08568	+	0.352759i
$129$	−6.71386	+	1.06337i	−0.591122	+	0.0936246i
$130$	29.2805	+	4.63758i	2.56807	+	0.406743i
$131$	5.96897	+	1.93944i	0.521512	+	0.169449i	0.557931	−	0.829887i	$-0.311595\pi$
$131$	5.96897	+	1.93944i	0.521512	+	0.169449i	−0.0364196	+	0.999337i	$0.511595\pi$
$132$		−	10.8840i		−	0.947329i
$133$	1.37659	−	4.23671i	0.119366	−	0.367370i
$134$	18.5192	−	9.43599i	1.59981	−	0.815145i
$135$	−7.66039	+	15.0344i	−0.659301	+	1.29395i
$136$	0.337160	+	2.12874i	0.0289112	+	0.182538i
$137$	−5.53526	+	5.53526i	−0.472909	+	0.472909i	−0.902855	−	0.429945i	$-0.858533\pi$
$137$	−5.53526	+	5.53526i	−0.472909	+	0.472909i	0.429945	+	0.902855i	$0.358533\pi$
$138$	−1.28167	−	0.653045i	−0.109103	−	0.0555909i
$139$	8.97525	−	6.52090i	0.761270	−	0.553095i	−0.138029	−	0.990428i	$-0.544077\pi$
$139$	8.97525	−	6.52090i	0.761270	−	0.553095i	0.899300	+	0.437333i	$0.144077\pi$
$140$	4.14686	+	8.13868i	0.350474	+	0.687844i
$141$	−17.7456	−	12.8929i	−1.49445	−	1.08578i
$142$	−0.891113	+	5.62627i	−0.0747806	+	0.472146i
$143$	−5.44833	−	7.49898i	−0.455612	−	0.627096i
$144$	0.0258009	+	0.0355118i	0.00215007	+	0.00295932i
$145$	2.96860	−	18.7430i	0.246529	−	1.55652i
$146$	25.8234	+	18.7618i	2.13716	+	1.55274i
$147$	−0.789603	−	1.54968i	−0.0651254	−	0.127816i
$148$	−5.96285	+	4.33226i	−0.490143	+	0.356110i
$149$	−0.683101	−	0.348058i	−0.0559619	−	0.0285140i	0.425786	−	0.904824i	$-0.359998\pi$
$149$	−0.683101	−	0.348058i	−0.0559619	−	0.0285140i	−0.481748	+	0.876310i	$0.659998\pi$
$150$	−15.1828	+	15.1828i	−1.23967	+	1.23967i
$151$	−2.67265	−	16.8745i	−0.217497	−	1.37322i	−0.818743	−	0.574160i	$-0.805329\pi$
$151$	−2.67265	−	16.8745i	−0.217497	−	1.37322i	0.601246	−	0.799064i	$-0.294671\pi$
$152$	3.54968	−	6.96665i	0.287917	−	0.565070i
$153$	0.0273457	−	0.0139334i	0.00221077	−	0.00112645i
$154$	1.51271	−	4.65565i	0.121898	−	0.375163i
$155$			27.8804i			2.23941i
$156$	−19.2232	−	6.24599i	−1.53909	−	0.500079i
$157$	16.6950	+	2.64423i	1.33240	+	0.211032i	0.781693	−	0.623663i	$-0.214356\pi$
$157$	16.6950	+	2.64423i	1.33240	+	0.211032i	0.550712	+	0.834695i	$0.314356\pi$
$158$	−35.4073	+	5.60796i	−2.81685	+	0.446145i
$159$	8.12991	−	2.64157i	0.644744	−	0.209490i
$160$	−7.41529	−	22.8219i	−0.586231	−	1.80423i
$161$	−0.266902	−	0.266902i	−0.0210348	−	0.0210348i
$162$	11.6870	−	16.0857i	0.918215	−	1.26381i
$163$	−7.39731			−0.579402			−0.289701	−	0.957117i	$-0.593556\pi$
$163$	−7.39731			−0.579402			−0.289701	+	0.957117i	$0.593556\pi$
$164$	−15.8034	−	8.48122i	−1.23404	−	0.662272i
$165$	12.6714			0.986464
$166$	−15.2508	+	20.9909i	−1.18369	+	1.62921i
$167$	−2.05335	−	2.05335i	−0.158893	−	0.158893i	0.623183	−	0.782076i	$-0.285839\pi$
$167$	−2.05335	−	2.05335i	−0.158893	−	0.158893i	−0.782076	+	0.623183i	$0.785839\pi$
$168$	−0.943333	−	2.90328i	−0.0727797	−	0.223993i
$169$	−4.00750	+	1.30212i	−0.308269	+	0.100163i
$170$	−8.66612	+	1.37258i	−0.664661	+	0.105272i
$171$	−0.109969	−	0.0174173i	−0.00840950	−	0.00133193i
$172$	−10.4115	−	3.38292i	−0.793873	−	0.257945i
$173$			9.49525i			0.721910i	0.932583	+	0.360955i	$0.117549\pi$
$173$			9.49525i			0.721910i	−0.932583	+	0.360955i	$0.882451\pi$
$174$	−6.85294	+	21.0912i	−0.519520	+	1.59892i
$175$	−5.02018	+	2.55791i	−0.379490	+	0.193360i
$176$	−1.78133	+	3.49605i	−0.134272	+	0.263525i
$177$	0.565576	+	3.57091i	0.0425113	+	0.268406i
$178$	−17.1608	+	17.1608i	−1.28625	+	1.28625i
$179$	17.2842	+	8.80672i	1.29188	+	0.658245i	0.958647	−	0.284599i	$-0.0918606\pi$
$179$	17.2842	+	8.80672i	1.29188	+	0.658245i	0.333233	+	0.942845i	$0.391861\pi$
$180$	0.184696	−	0.134189i	0.0137664	−	0.0100019i
$181$	−10.6176	−	20.8383i	−0.789204	−	1.54890i	−0.835193	−	0.549957i	$-0.814644\pi$
$181$	−10.6176	−	20.8383i	−0.789204	−	1.54890i	0.0459891	−	0.998942i	$-0.485356\pi$
$182$	−7.35466	−	5.34348i	−0.545164	−	0.396085i
$183$	−0.920122	+	5.80942i	−0.0680174	+	0.429445i
$184$	−0.389409	−	0.535975i	−0.0287076	−	0.0395126i
$185$	−5.04371	−	6.94207i	−0.370821	−	0.510391i
$186$	5.09692	−	32.1807i	0.373724	−	2.35960i
$187$	2.21946	+	1.61253i	0.162303	+	0.117920i
$188$	−16.0375	−	31.4753i	−1.16965	−	2.29557i
$189$	4.18608	−	3.04137i	0.304493	−	0.221227i
$190$	28.3612	+	14.4508i	2.05754	+	1.04837i
$191$	17.7398	−	17.7398i	1.28360	−	1.28360i	0.345003	−	0.938602i	$-0.387878\pi$
$191$	17.7398	−	17.7398i	1.28360	−	1.28360i	0.938602	−	0.345003i	$-0.112122\pi$
$192$	3.43118	+	21.6636i	0.247624	+	1.56344i
$193$	11.2102	−	22.0013i	0.806928	−	1.58369i	−0.00504263	−	0.999987i	$-0.501605\pi$
$193$	11.2102	−	22.0013i	0.806928	−	1.58369i	0.811971	−	0.583698i	$-0.198395\pi$
$194$	−1.61208	+	0.821394i	−0.115740	+	0.0589726i
$195$	7.27170	−	22.3800i	0.520737	−	1.60267i
$196$		−	2.80104i		−	0.200074i
$197$	2.74147	+	0.890757i	0.195321	+	0.0634638i	0.405044	−	0.914297i	$-0.367256\pi$
$197$	2.74147	+	0.890757i	0.195321	+	0.0634638i	−0.209723	+	0.977761i	$0.567256\pi$
$198$	−0.120843	−	0.0191396i	−0.00858791	−	0.00136019i
$199$	−19.2931	+	3.05573i	−1.36766	+	0.216615i	−0.796704	−	0.604369i	$-0.793425\pi$
$199$	−19.2931	+	3.05573i	−1.36766	+	0.216615i	−0.570951	+	0.820984i	$0.693425\pi$
$200$	−9.40513	+	3.05591i	−0.665043	+	0.216086i
$201$	−5.09821	−	15.6907i	−0.359600	−	1.10674i
$202$	9.47460	+	9.47460i	0.666630	+	0.666630i
$203$	−3.42045	+	4.70785i	−0.240069	+	0.330426i
$204$	5.98225			0.418841
$205$	9.87401	−	18.3986i	0.689631	−	1.28502i
$206$	−10.4652			−0.729147
$207$	−0.00554512	+	0.00763221i	−0.000385413	+	0.000530475i
$208$	5.15243	+	5.15243i	0.357257	+	0.357257i
$209$	−3.07547	−	9.46533i	−0.212735	−	0.654731i
$210$	11.8193	−	3.84031i	0.815606	−	0.265006i
$211$	−26.1855	+	4.14737i	−1.80268	+	0.285517i	−0.965308	−	0.261114i	$-0.915910\pi$
$211$	−26.1855	+	4.14737i	−1.80268	+	0.285517i	−0.837374	+	0.546631i	$0.815910\pi$
$212$	13.5974	+	2.15362i	0.933874	+	0.147911i
$213$	4.30033	+	1.39726i	0.294653	+	0.0957387i
$214$			4.76606i			0.325801i
$215$	3.93846	−	12.1213i	0.268601	−	0.826668i
$216$	8.09192	−	4.12304i	0.550585	−	0.280537i
$217$	3.88144	−	7.61775i	0.263489	−	0.517126i
$218$	4.27071	+	26.9642i	0.289249	+	1.82625i
$219$	17.9158	−	17.9158i	1.21064	−	1.21064i
$220$	18.1828	+	9.26460i	1.22588	+	0.624619i
$221$	4.12172	−	2.99460i	0.277257	−	0.201439i
$222$	4.55254	+	8.93486i	0.305546	+	0.599669i
$223$	−23.8856	−	17.3539i	−1.59949	−	1.16210i	−0.888471	−	0.458934i	$-0.848232\pi$
$223$	−23.8856	−	17.3539i	−1.59949	−	1.16210i	−0.711024	−	0.703167i	$-0.751768\pi$
$224$	−1.15113	+	7.26795i	−0.0769131	+	0.485610i
$225$	0.0827719	+	0.113926i	0.00551812	+	0.00759505i
$226$	9.59132	+	13.2013i	0.638005	+	0.878139i
$227$	1.20614	−	7.61529i	0.0800545	−	0.505444i	−0.914781	−	0.403949i	$-0.867637\pi$
$227$	1.20614	−	7.61529i	0.0800545	−	0.505444i	0.994836	−	0.101495i	$-0.0323627\pi$
$228$	−17.5575	−	12.7562i	−1.16277	−	0.844802i
$229$	−3.63043	−	7.12512i	−0.239906	−	0.470841i	0.739390	−	0.673278i	$-0.235114\pi$
$229$	−3.63043	−	7.12512i	−0.239906	−	0.470841i	−0.979295	+	0.202436i	$0.935114\pi$
$230$	2.18196	−	1.58528i	0.143874	−	0.104531i
$231$	−3.46218	−	1.76407i	−0.227795	−	0.116067i
$232$	−7.22221	+	7.22221i	−0.474162	+	0.474162i
$233$	2.44522	+	15.4385i	0.160192	+	1.01141i	0.928500	+	0.371332i	$0.121099\pi$
$233$	2.44522	+	15.4385i	0.160192	+	1.01141i	−0.768308	+	0.640080i	$0.778901\pi$
$234$	−0.103152	+	0.202447i	−0.00674326	+	0.0132344i
$235$	36.6442	−	18.6711i	2.39040	−	1.21797i
$236$	−1.79928	+	5.53760i	−0.117123	+	0.360467i
$237$			28.4556i			1.84839i
$238$	2.55892	+	0.831444i	0.165870	+	0.0538945i
$239$	−13.6060	−	2.15499i	−0.880102	−	0.139394i	−0.300001	−	0.953939i	$-0.596987\pi$
$239$	−13.6060	−	2.15499i	−0.880102	−	0.139394i	−0.580101	+	0.814544i	$0.696987\pi$
$240$	−9.83843	+	1.55825i	−0.635068	+	0.100585i
$241$	−5.59024	+	1.81638i	−0.360099	+	0.117003i	−0.483478	−	0.875356i	$-0.660627\pi$
$241$	−5.59024	+	1.81638i	−0.360099	+	0.117003i	0.123379	+	0.992360i	$0.460627\pi$
$242$	4.06846	+	12.5214i	0.261531	+	0.804909i
$243$	−0.183659	−	0.183659i	−0.0117817	−	0.0117817i
$244$	−5.56786	+	7.66351i	−0.356446	+	0.490606i
$245$	3.26102			0.208339
$246$	−14.7605	+	19.4313i	−0.941094	+	1.23889i
$247$	−18.4825			−1.17601
$248$	8.82033	−	12.1401i	0.560091	−	0.770900i
$249$	14.5631	+	14.5631i	0.922900	+	0.922900i
$250$	−1.40050	−	4.31029i	−0.0885753	−	0.272607i
$251$	15.3542	−	4.98889i	0.969149	−	0.314896i	0.218677	−	0.975797i	$-0.429826\pi$
$251$	15.3542	−	4.98889i	0.969149	−	0.314896i	0.750473	+	0.660902i	$0.229826\pi$
$252$	−0.0691456	+	0.0109516i	−0.00435576	+	0.000689885i
$253$	−0.832901	−	0.131919i	−0.0523641	−	0.00829365i
$254$	34.2969	+	11.1437i	2.15198	+	0.699219i
$255$			6.96465i			0.436143i
$256$	−0.950788	+	2.92622i	−0.0594242	+	0.182889i
$257$	−4.84966	+	2.47102i	−0.302513	+	0.154138i	−0.598658	−	0.801005i	$-0.704299\pi$
$257$	−4.84966	+	2.47102i	−0.302513	+	0.154138i	0.296144	+	0.955143i	$0.404299\pi$
$258$	−6.76187	+	13.2709i	−0.420975	+	0.826211i
$259$	0.411633	+	2.59895i	0.0255776	+	0.161491i
$260$	26.7976	−	26.7976i	1.66192	−	1.66192i
$261$	0.129590	+	0.0660294i	0.00802142	+	0.00408712i
$262$	11.1255	−	8.08313i	0.687334	−	0.499377i
$263$	−5.44921	−	10.6947i	−0.336013	−	0.659462i	0.659744	−	0.751491i	$-0.270665\pi$
$263$	−5.44921	−	10.6947i	−0.336013	−	0.659462i	−0.995756	+	0.0920286i	$0.970665\pi$
$264$	−5.51756	−	4.00874i	−0.339582	−	0.246721i
$265$	−2.50728	+	15.8304i	−0.154021	+	0.972452i
$266$	−5.73732	−	7.89674i	−0.351778	−	0.484180i
$267$	11.3231	+	15.5849i	0.692962	+	0.953780i
$268$	4.15647	−	26.2429i	0.253897	−	1.60304i
$269$	17.8354	+	12.9582i	1.08744	+	0.790074i	0.978966	−	0.204025i	$-0.0654023\pi$
$269$	17.8354	+	12.9582i	1.08744	+	0.790074i	0.108478	+	0.994099i	$0.465402\pi$
$270$	16.7849	+	32.9422i	1.02150	+	2.00480i
$271$	10.6916	−	7.76788i	0.649467	−	0.471865i	−0.213623	−	0.976916i	$-0.568526\pi$
$271$	10.6916	−	7.76788i	0.649467	−	0.471865i	0.863089	+	0.505051i	$0.168526\pi$
$272$	−1.92156	−	0.979083i	−0.116512	−	0.0593657i
$273$	−5.10252	+	5.10252i	−0.308819	+	0.308819i
$274$	2.68320	+	16.9411i	0.162098	+	1.02345i
$275$	−5.71468	+	11.2157i	−0.344608	+	0.676331i
$276$	−1.63843	+	0.834824i	−0.0986221	+	0.0502505i
$277$	−4.60972	+	14.1873i	−0.276971	+	0.852430i	0.711720	+	0.702464i	$0.247917\pi$
$277$	−4.60972	+	14.1873i	−0.276971	+	0.852430i	−0.988691	+	0.149967i	$0.952083\pi$
$278$		−	24.3084i		−	1.45792i
$279$	−0.203225	−	0.0660319i	−0.0121668	−	0.00395323i
$280$	5.65320	+	0.895379i	0.337843	+	0.0535091i
$281$	−7.04561	+	1.11591i	−0.420306	+	0.0665699i	−0.363005	−	0.931787i	$-0.618249\pi$
$281$	−7.04561	+	1.11591i	−0.420306	+	0.0665699i	−0.0573004	+	0.998357i	$0.518249\pi$
$282$	−45.7094	+	14.8519i	−2.72196	+	0.884418i
$283$	4.44554	+	13.6820i	0.264260	+	0.813308i	0.991863	+	0.127310i	$0.0406342\pi$
$283$	4.44554	+	13.6820i	0.264260	+	0.813308i	−0.727603	+	0.685998i	$0.759366\pi$
$284$	5.14916	+	5.14916i	0.305547	+	0.305547i
$285$	14.8511	−	20.4407i	0.879701	−	1.21080i
$286$	−20.3101			−1.20096
$287$	−5.25927	+	3.65241i	−0.310445	+	0.215595i
$288$	0.183915			0.0108373
$289$	9.10604	−	12.5334i	0.535649	−	0.737258i
$290$	−29.4016	−	29.4016i	−1.72652	−	1.72652i
$291$	0.443794	+	1.36586i	0.0260157	+	0.0800680i
$292$	38.8073	−	12.6093i	2.27103	−	0.737902i
$293$	−18.0152	+	2.85333i	−1.05246	+	0.166693i	−0.658612	−	0.752482i	$-0.728856\pi$
$293$	−18.0152	+	2.85333i	−1.05246	+	0.166693i	−0.393848	+	0.919176i	$0.628856\pi$
$294$	−3.76400	−	0.596159i	−0.219521	−	0.0347687i
$295$	−6.44699	−	2.09475i	−0.375358	−	0.121961i
$296$			4.61846i			0.268443i
$297$	3.57223	−	10.9942i	0.207282	−	0.637948i
$298$	−1.49676	+	0.762638i	−0.0867051	+	0.0441785i
$299$	−0.710970	+	1.39536i	−0.0411164	+	0.0806956i
$300$	4.29390	+	27.1106i	0.247908	+	1.56523i
$301$	−2.76360	+	2.76360i	−0.159291	+	0.159291i
$302$	−33.3548	−	16.9951i	−1.91935	−	0.977959i
$303$	8.60455	−	6.25157i	0.494318	−	0.359143i
$304$	3.55189	+	6.97097i	0.203715	+	0.399813i
$305$	−8.92201	−	6.48222i	−0.510873	−	0.371171i
$306$	0.0105198	−	0.0664196i	0.000601379	−	0.00379696i
$307$	−0.816389	−	1.12366i	−0.0465938	−	0.0641309i	0.785084	−	0.619389i	$-0.212620\pi$
$307$	−0.816389	−	1.12366i	−0.0465938	−	0.0641309i	−0.831678	+	0.555258i	$0.812620\pi$
$308$	−3.67828	−	5.06271i	−0.209589	−	0.288475i
$309$	−1.29950	+	8.20472i	−0.0739259	+	0.466750i
$310$	49.4225	+	35.9076i	2.80701	+	2.03941i
$311$	−2.38765	−	4.68603i	−0.135391	−	0.265721i	0.813350	−	0.581775i	$-0.197642\pi$
$311$	−2.38765	−	4.68603i	−0.135391	−	0.265721i	−0.948741	+	0.316055i	$0.897642\pi$
$312$	−10.2466	+	7.44456i	−0.580097	+	0.421465i
$313$	3.08072	+	1.56970i	0.174132	+	0.0887249i	0.538884	−	0.842380i	$-0.318846\pi$
$313$	3.08072	+	1.56970i	0.174132	+	0.0887249i	−0.364752	+	0.931105i	$0.618846\pi$
$314$	26.1890	−	26.1890i	1.47793	−	1.47793i
$315$	−0.0127501	−	0.0805007i	−0.000718385	−	0.00453570i
$316$	−20.8051	+	40.8324i	−1.17038	+	2.29700i
$317$	16.7807	−	8.55020i	0.942499	−	0.480227i	0.0859539	−	0.996299i	$-0.472606\pi$
$317$	16.7807	−	8.55020i	0.942499	−	0.480227i	0.856545	+	0.516072i	$0.172606\pi$
$318$	5.78801	−	17.8137i	0.324576	−	0.998941i
$319$			13.0009i			0.727908i
$320$	−39.1119	−	12.7082i	−2.18642	−	0.710412i
$321$	3.73658	+	0.591816i	0.208556	+	0.0330320i
$322$	−0.816873	+	0.129380i	−0.0455225	+	0.00721006i
$323$	5.20250	−	1.69039i	0.289475	−	0.0940561i
$324$	−7.85447	−	24.1736i	−0.436360	−	1.34298i
$325$	16.5295	+	16.5295i	0.916894	+	0.916894i
$326$	−9.52708	+	13.1129i	−0.527656	+	0.726256i
$327$	21.6702			1.19836
$328$	−10.1201	+	4.88765i	−0.558791	+	0.269875i
$329$	−12.6116			−0.695299
$330$	16.3196	−	22.4620i	0.898364	−	1.23649i
$331$	13.3920	+	13.3920i	0.736092	+	0.736092i	0.971819	−	0.235727i	$-0.0757472\pi$
$331$	13.3920	+	13.3920i	0.736092	+	0.736092i	−0.235727	+	0.971819i	$0.575747\pi$
$332$	10.2496	+	31.5451i	0.562522	+	1.73126i
$333$	0.0625474	−	0.0203229i	0.00342758	−	0.00111369i
$334$	−6.28442	+	0.995355i	−0.343868	+	0.0544634i
$335$	30.5525	+	4.83904i	1.66926	+	0.264385i
$336$	2.90508	+	0.943918i	0.158485	+	0.0514950i
$337$			23.3390i			1.27136i	0.771955	+	0.635678i	$0.219279\pi$
$337$			23.3390i			1.27136i	−0.771955	+	0.635678i	$0.780721\pi$
$338$	−2.85310	+	8.78095i	−0.155188	+	0.477621i
$339$	11.5408	−	5.88032i	0.626809	−	0.319375i
$340$	−5.09217	+	9.99394i	−0.276162	+	0.541998i
$341$	−2.98803	−	18.8657i	−0.161811	−	1.02163i
$342$	−0.172505	+	0.172505i	−0.00932799	+	0.00932799i
$343$	−0.891007	−	0.453990i	−0.0481098	−	0.0245132i
$344$	−5.54968	+	4.03208i	−0.299219	+	0.217395i
$345$	−0.971918	−	1.90750i	−0.0523263	−	0.102696i
$346$	16.8318	+	12.2290i	0.904885	+	0.657438i
$347$	0.145893	−	0.921131i	0.00783194	−	0.0494489i	−0.983463	−	0.181110i	$-0.942031\pi$
$347$	0.145893	−	0.921131i	0.00783194	−	0.0494489i	0.991295	+	0.131661i	$0.0420310\pi$
$348$	16.6634	+	22.9353i	0.893255	+	1.22946i
$349$	−13.2011	−	18.1697i	−0.706636	−	0.972601i	−0.999863	−	0.0165584i	$-0.994729\pi$
$349$	−13.2011	−	18.1697i	−0.706636	−	0.972601i	0.293227	−	0.956043i	$-0.405271\pi$
$350$	−1.93125	+	12.1934i	−0.103230	+	0.651766i
$351$	−17.3678	−	12.6185i	−0.927026	−	0.673524i
$352$	7.46355	+	14.6480i	0.397809	+	0.780744i
$353$	−24.9214	+	18.1064i	−1.32643	+	0.963709i	−0.326603	+	0.945162i	$0.605904\pi$
$353$	−24.9214	+	18.1064i	−1.32643	+	0.963709i	−0.999828	+	0.0185470i	$0.994096\pi$
$354$	7.05841	+	3.59644i	0.375150	+	0.191149i
$355$	−5.99476	+	5.99476i	−0.318169	+	0.318169i
$356$	4.85328	+	30.6424i	0.257223	+	1.62404i
$357$	0.969599	−	1.90295i	0.0513166	−	0.100715i
$358$	37.8718	−	19.2966i	2.00159	−	1.01986i
$359$	−5.32432	+	16.3866i	−0.281007	+	0.864851i	0.706560	+	0.707653i	$0.250246\pi$
$359$	−5.32432	+	16.3866i	−0.281007	+	0.864851i	−0.987567	+	0.157198i	$0.949754\pi$
$360$		−	0.143054i		−	0.00753961i
$361$	−0.803392	−	0.261038i	−0.0422838	−	0.0137388i
$362$	−50.6138	−	8.01644i	−2.66020	−	0.421335i
$363$	10.3220	−	1.63484i	0.541763	−	0.0858068i
$364$	−11.0526	+	3.59119i	−0.579311	+	0.188230i
$365$	14.6800	+	45.1803i	0.768384	+	2.36484i
$366$	9.11309	+	9.11309i	0.476349	+	0.476349i
$367$	21.1880	−	29.1628i	1.10600	−	1.52228i	0.278827	−	0.960341i	$-0.410054\pi$
$367$	21.1880	−	29.1628i	1.10600	−	1.52228i	0.827176	−	0.561942i	$-0.189946\pi$
$368$	0.662913			0.0345567
$369$	0.110725	+	0.115549i	0.00576412	+	0.00601522i
$370$	−18.8018			−0.977458
$371$	2.88892	−	3.97626i	0.149985	−	0.206437i
$372$	−29.4518	−	29.4518i	−1.52700	−	1.52700i
$373$	1.86509	+	5.74017i	0.0965709	+	0.297215i	0.987660	−	0.156614i	$-0.0500578\pi$
$373$	1.86509	+	5.74017i	0.0965709	+	0.297215i	−0.891089	+	0.453829i	$0.850058\pi$
$374$	5.71694	−	1.85755i	0.295616	−	0.0960515i
$375$	−3.55316	+	0.562766i	−0.183485	+	0.0290611i
$376$	−21.8630	−	3.46276i	−1.12750	−	0.178578i
$377$	22.9620	+	7.46079i	1.18260	+	0.384250i
$378$		−	11.3375i		−	0.583139i
$379$	8.30806	−	25.5696i	0.426756	−	1.31342i	−0.474546	−	0.880231i	$-0.657388\pi$
$379$	8.30806	−	25.5696i	0.426756	−	1.31342i	0.901302	−	0.433191i	$-0.142612\pi$
$380$	36.2557	−	18.4732i	1.85988	−	0.947656i
$381$	12.9954	−	25.5049i	0.665774	−	1.30666i
$382$	−8.59930	−	54.2938i	−0.439978	−	2.77791i
$383$	−14.4451	+	14.4451i	−0.738109	+	0.738109i	−0.972212	−	0.234103i	$-0.924785\pi$
$383$	−14.4451	+	14.4451i	−0.738109	+	0.738109i	0.234103	+	0.972212i	$0.424785\pi$
$384$	20.0144	+	10.1979i	1.02136	+	0.520407i
$385$	5.89411	−	4.28232i	0.300392	−	0.218247i
$386$	−24.5630	−	48.2076i	−1.25022	−	2.45370i
$387$	0.0790267	+	0.0574162i	0.00401715	+	0.00291863i
$388$	−0.361816	+	2.28442i	−0.0183684	+	0.115974i
$389$	13.6649	+	18.8081i	0.692837	+	0.953609i	0.999998	+	0.00195114i	$0.000621067\pi$
$389$	13.6649	+	18.8081i	0.692837	+	0.953609i	−0.307161	+	0.951658i	$0.599379\pi$
$390$	−30.3068	−	41.7137i	−1.53464	−	2.11226i
$391$	0.0725074	−	0.457794i	0.00366686	−	0.0231516i
$392$	−1.41997	−	1.03167i	−0.0717191	−	0.0521070i
$393$	−4.95567	−	9.72605i	−0.249980	−	0.490614i
$394$	5.10978	−	3.71247i	0.257427	−	0.187032i
$395$	−47.5379	−	24.2218i	−2.39189	−	1.21873i
$396$	−0.110595	+	0.110595i	−0.00555762	+	0.00555762i
$397$	4.26221	+	26.9106i	0.213914	+	1.35060i	0.827718	+	0.561144i	$0.189639\pi$
$397$	4.26221	+	26.9106i	0.213914	+	1.35060i	−0.613804	+	0.789458i	$0.710361\pi$
$398$	−19.4311	+	38.1357i	−0.973993	+	1.91157i
$399$	−6.90344	+	3.51748i	−0.345604	+	0.176094i
$400$	3.05781	−	9.41097i	0.152890	−	0.470548i
$401$		−	35.8634i		−	1.79093i	−0.445128	−	0.895467i	$-0.646842\pi$
$401$		−	35.8634i		−	1.79093i	0.445128	−	0.895467i	$-0.353158\pi$
$402$	−34.3803	−	11.1708i	−1.71473	−	0.557150i
$403$	−35.0351	−	5.54901i	−1.74522	−	0.276416i
$404$	16.9179	−	2.67954i	0.841698	−	0.133312i
$405$	28.1434	−	9.14434i	1.39846	−	0.454386i
$406$	3.94017	+	12.1266i	0.195547	+	0.601833i
$407$	4.15689	+	4.15689i	0.206050	+	0.206050i
$408$	2.20335	−	3.03266i	0.109082	−	0.150139i
$409$	−31.8451			−1.57464			−0.787319	−	0.616546i	$-0.788531\pi$
$409$	−31.8451			−1.57464			−0.787319	+	0.616546i	$0.788531\pi$
$410$	−19.8976	−	41.1991i	−0.982674	−	2.03468i
$411$	13.6149			0.671575
$412$	−7.86356	+	10.8233i	−0.387410	+	0.533224i
$413$	1.46988	+	1.46988i	0.0723280	+	0.0723280i
$414$	0.00638767	+	0.0196592i	0.000313937	+	0.000966198i
$415$	−36.7255	+	11.9328i	−1.80278	+	0.585759i
$416$	30.1543	−	4.77598i	1.47844	−	0.234161i
$417$	−19.0577	−	3.01845i	−0.933260	−	0.147814i
$418$	−20.7397	−	6.73875i	−1.01441	−	0.329603i
$419$		−	19.0028i		−	0.928348i	−0.885744	−	0.464174i	$-0.846351\pi$
$419$		−	19.0028i		−	0.928348i	0.885744	−	0.464174i	$-0.153649\pi$
$420$	4.90928	−	15.1092i	0.239548	−	0.737253i
$421$	22.3645	−	11.3953i	1.08998	−	0.555373i	0.185828	−	0.982582i	$-0.440503\pi$
$421$	22.3645	−	11.3953i	1.08998	−	0.555373i	0.904153	+	0.427210i	$0.140503\pi$
$422$	−26.3727	+	51.7594i	−1.28380	+	2.51961i
$423$	0.0493092	+	0.311326i	0.00239750	+	0.0151372i
$424$	6.09990	−	6.09990i	0.296237	−	0.296237i
$425$	−6.16456	−	3.14100i	−0.299025	−	0.152361i
$426$	8.01531	−	5.82346i	0.388343	−	0.282148i
$427$	1.53532	+	3.01323i	0.0742991	+	0.145820i
$428$	4.92911	+	3.58121i	0.238258	+	0.173104i
$429$	−2.52196	+	15.9231i	−0.121762	+	0.768773i
$430$	−16.4146	−	22.5928i	−0.791582	−	1.08952i
$431$	−11.5531	−	15.9014i	−0.556492	−	0.765945i	0.434383	−	0.900728i	$-0.356966\pi$
$431$	−11.5531	−	15.9014i	−0.556492	−	0.765945i	−0.990875	+	0.134783i	$0.956966\pi$
$432$	−1.42158	+	8.97553i	−0.0683960	+	0.431835i
$433$	2.54040	+	1.84571i	0.122084	+	0.0886989i	0.647152	−	0.762361i	$-0.275960\pi$
$433$	2.54040	+	1.84571i	0.122084	+	0.0886989i	−0.525068	+	0.851060i	$0.675960\pi$
$434$	−8.50472	−	16.6914i	−0.408240	−	0.801215i
$435$	−26.7017	+	19.3999i	−1.28025	+	0.930155i
$436$	31.0957	+	15.8440i	1.48921	+	0.758791i
$437$	−1.18898	+	1.18898i	−0.0568766	+	0.0568766i
$438$	−8.68462	−	54.8325i	−0.414967	−	2.62000i
$439$	−1.94376	+	3.81483i	−0.0927704	+	0.182072i	−0.932729	−	0.360579i	$-0.882579\pi$
$439$	−1.94376	+	3.81483i	−0.0927704	+	0.182072i	0.839958	+	0.542651i	$0.182579\pi$
$440$	11.3936	−	5.80534i	0.543170	−	0.276759i
$441$	−0.00772339	+	0.0237702i	−0.000367781	+	0.00113191i
$442$		−	11.1632i		−	0.530979i
$443$	16.1946	+	5.26195i	0.769429	+	0.250003i	0.667321	−	0.744770i	$-0.267441\pi$
$443$	16.1946	+	5.26195i	0.769429	+	0.250003i	0.102109	+	0.994773i	$0.467441\pi$
$444$	12.6613	+	2.00535i	0.600879	+	0.0951698i
$445$	−35.6745	+	5.65029i	−1.69113	+	0.267849i
$446$	−61.5250	+	19.9907i	−2.91329	+	0.946586i
$447$	0.412049	+	1.26816i	0.0194893	+	0.0599818i
$448$	8.91731	+	8.91731i	0.421303	+	0.421303i
$449$	6.32375	−	8.70390i	0.298436	−	0.410762i	−0.633295	−	0.773910i	$-0.718298\pi$
$449$	6.32375	−	8.70390i	0.298436	−	0.410762i	0.931731	+	0.363148i	$0.118298\pi$
$450$	0.308554			0.0145454
$451$	−4.70954	+	13.5079i	−0.221764	+	0.636062i
$452$	20.8598			0.981165
$453$	−17.4659	+	24.0397i	−0.820619	+	1.12949i
$454$	−11.9459	−	11.9459i	−0.560649	−	0.560649i
$455$	−4.18094	−	12.8676i	−0.196005	−	0.603243i
$456$	−12.9334	+	4.20231i	−0.605660	+	0.196791i
$457$	12.1686	−	1.92732i	0.569224	−	0.0901563i	0.134813	−	0.990871i	$-0.456957\pi$
$457$	12.1686	−	1.92732i	0.569224	−	0.0901563i	0.434411	+	0.900715i	$0.356957\pi$
$458$	−17.3061	−	2.74102i	−0.808661	−	0.128079i
$459$	6.04282	+	1.96343i	0.282055	+	0.0916451i
$460$		−	3.44778i		−	0.160754i
$461$	4.01740	−	12.3643i	0.187109	−	0.575862i	−0.812869	−	0.582446i	$-0.802096\pi$
$461$	4.01740	−	12.3643i	0.187109	−	0.575862i	0.999978	+	0.00658374i	$0.00209569\pi$
$462$	−7.58608	+	3.86530i	−0.352936	+	0.179830i
$463$	−0.228523	+	0.448501i	−0.0106204	+	0.0208436i	−0.896256	−	0.443538i	$-0.853723\pi$
$463$	−0.228523	+	0.448501i	−0.0106204	+	0.0208436i	0.885635	+	0.464381i	$0.153723\pi$
$464$	−1.59877	−	10.0943i	−0.0742213	−	0.468615i
$465$	34.2884	−	34.2884i	1.59008	−	1.59008i
$466$	30.5165	+	15.5489i	1.41365	+	0.720291i
$467$	21.0733	−	15.3106i	0.975154	−	0.708491i	0.0185338	−	0.999828i	$-0.494100\pi$
$467$	21.0733	−	15.3106i	0.975154	−	0.708491i	0.956620	+	0.291337i	$0.0941002\pi$
$468$	0.131865	+	0.258799i	0.00609546	+	0.0119630i
$469$	−7.67416	−	5.57560i	−0.354360	−	0.257457i
$470$	14.0969	−	89.0044i	0.650242	−	4.10546i
$471$	−17.2801	−	23.7841i	−0.796226	−	1.09591i
$472$	2.14455	+	2.95171i	0.0987107	+	0.135864i
$473$	−1.36593	+	8.62416i	−0.0628057	+	0.396539i
$474$	50.4420	+	36.6482i	2.31688	+	1.68331i
$475$	11.3948	+	22.3636i	0.522830	+	1.02611i
$476$	2.78266	−	2.02172i	0.127543	−	0.0926653i
$477$	−0.109452	−	0.0557686i	−0.00501147	−	0.00255347i
$478$	−21.3434	+	21.3434i	−0.976227	+	0.976227i
$479$	4.56646	+	28.8315i	0.208647	+	1.31734i	0.840312	+	0.542103i	$0.182372\pi$
$479$	4.56646	+	28.8315i	0.208647	+	1.31734i	−0.631665	+	0.775241i	$0.717628\pi$
$480$	−18.9476	+	37.1868i	−0.864837	+	1.69734i
$481$	9.72738	−	4.95635i	0.443530	−	0.225990i
$482$	−3.97992	+	12.2489i	−0.181280	+	0.557923i
$483$			0.656491i			0.0298714i
$484$	16.0068	+	5.20094i	0.727584	+	0.236406i
$485$	−2.65957	−	0.421234i	−0.120765	−	0.0191272i
$486$	−0.562100	+	0.0890280i	−0.0254974	+	0.00403839i
$487$	5.75735	−	1.87067i	0.260890	−	0.0847684i	−0.175651	−	0.984452i	$-0.556203\pi$
$487$	5.75735	−	1.87067i	0.260890	−	0.0847684i	0.436542	+	0.899684i	$0.356203\pi$
$488$	1.83423	+	5.64518i	0.0830317	+	0.255545i
$489$	9.09747	+	9.09747i	0.411402	+	0.411402i
$490$	4.19991	−	5.78068i	0.189733	−	0.261145i
$491$	11.5812			0.522654			0.261327	−	0.965250i	$-0.415840\pi$
$491$	11.5812			0.522654			0.261327	+	0.965250i	$0.415840\pi$
$492$	9.00507	+	29.8661i	0.405980	+	1.34647i
$493$	−7.14576			−0.321829
$494$	−23.8038	+	32.7631i	−1.07098	+	1.47408i
$495$	−0.128757	−	0.128757i	−0.00578721	−	0.00578721i
$496$	4.64000	+	14.2804i	0.208342	+	0.641211i
$497$	2.47252	−	0.803369i	0.110908	−	0.0360360i
$498$	44.5714	−	7.05942i	1.99729	−	0.316340i
$499$	−39.1883	−	6.20682i	−1.75431	−	0.277855i	−0.805247	−	0.592940i	$-0.797967\pi$
$499$	−39.1883	−	6.20682i	−1.75431	−	0.277855i	−0.949064	+	0.315085i	$0.897967\pi$
$500$	−5.51008	−	1.79033i	−0.246418	−	0.0800662i
$501$			5.05057i			0.225643i
$502$	10.9313	−	33.6430i	0.487887	−	1.50156i
$503$	−4.50176	+	2.29376i	−0.200723	+	0.102274i	−0.551463	−	0.834199i	$-0.685930\pi$
$503$	−4.50176	+	2.29376i	−0.200723	+	0.102274i	0.350740	+	0.936473i	$0.385930\pi$
$504$	−0.0199156	+	0.0390865i	−0.000887110	+	0.00174105i
$505$	3.11957	+	19.6962i	0.138819	+	0.876469i
$506$	−1.30655	+	1.30655i	−0.0580833	+	0.0580833i
$507$	6.52996	+	3.32718i	0.290006	+	0.147765i
$508$	37.2955	−	27.0968i	1.65472	−	1.20223i
$509$	17.8367	+	35.0066i	0.790600	+	1.55164i	0.833474	+	0.552559i	$0.186348\pi$
$509$	17.8367	+	35.0066i	0.790600	+	1.55164i	−0.0428745	+	0.999080i	$0.513652\pi$
$510$	12.3460	+	8.96986i	0.546688	+	0.397192i
$511$	2.27888	−	14.3883i	0.100812	−	0.636500i
$512$	−11.2200	−	15.4430i	−0.495860	−	0.682493i
$513$	−13.5485	−	18.6479i	−0.598181	−	0.823326i
$514$	−1.86565	+	11.7792i	−0.0822903	+	0.519560i
$515$	−12.6007	−	9.15491i	−0.555251	−	0.403414i
$516$	8.64407	+	16.9649i	0.380534	+	0.746840i
$517$	−22.7947	+	16.5613i	−1.00251	+	0.728367i
$518$	5.13719	+	2.61753i	0.225715	+	0.115008i
$519$	11.6776	−	11.6776i	0.512590	−	0.512590i
$520$	−3.71488	−	23.4548i	−0.162908	−	1.02856i
$521$	8.50822	−	16.6983i	0.372752	−	0.731567i	−0.626086	−	0.779754i	$-0.715344\pi$
$521$	8.50822	−	16.6983i	0.372752	−	0.731567i	0.998838	+	0.0481869i	$0.0153443\pi$
$522$	0.283948	−	0.144679i	0.0124281	−	0.00633242i
$523$	−1.71500	+	5.27822i	−0.0749916	+	0.230800i	−0.981525	−	0.191334i	$-0.938719\pi$
$523$	−1.71500	+	5.27822i	−0.0749916	+	0.230800i	0.906533	+	0.422134i	$0.138719\pi$
$524$		−	17.5797i		−	0.767974i
$525$	9.31980	+	3.02819i	0.406750	+	0.132161i
$526$	−25.9761	−	4.11421i	−1.13261	−	0.179388i
$527$	10.3693	−	1.64233i	0.451693	−	0.0715411i
$528$	6.49031	−	2.10883i	0.282454	−	0.0917750i
$529$	−7.06336	−	21.7388i	−0.307103	−	0.945165i
$530$	24.8327	+	24.8327i	1.07866	+	1.07866i
$531$	0.0305380	−	0.0420320i	0.00132524	−	0.00182403i
$532$	−12.4779			−0.540986
$533$	21.1548	+	16.0697i	0.916318	+	0.696057i
$534$	42.2099			1.82660
$535$	−4.16932	+	5.73857i	−0.180255	+	0.248100i
$536$	−11.7728	−	11.7728i	−0.508506	−	0.508506i
$537$	−10.4259	−	32.0875i	−0.449909	−	1.38468i
$538$	45.9409	−	14.9271i	1.98065	−	0.643553i
$539$	−2.20662	+	0.349494i	−0.0950457	+	0.0150538i
$540$	46.6813	+	7.39359i	2.00884	+	0.318170i
$541$	−24.3023	−	7.89629i	−1.04484	−	0.339488i	−0.264196	−	0.964469i	$-0.585107\pi$
$541$	−24.3023	−	7.89629i	−1.04484	−	0.339488i	−0.780640	+	0.624981i	$0.785107\pi$
$542$		−	28.9569i		−	1.24380i
$543$	−12.5697	+	38.6857i	−0.539419	+	1.66016i
$544$	−8.05112	+	4.10225i	−0.345189	+	0.175882i
$545$	−18.4459	+	36.2022i	−0.790137	+	1.55073i
$546$	2.47343	+	15.6166i	0.105853	+	0.668330i
$547$	−17.6425	+	17.6425i	−0.754339	+	0.754339i	−0.975286	−	0.220947i	$-0.929085\pi$
$547$	−17.6425	+	17.6425i	−0.754339	+	0.754339i	0.220947	+	0.975286i	$0.429085\pi$
$548$	19.5368	+	9.95449i	0.834570	+	0.425235i
$549$	0.0683808	−	0.0496816i	0.00291842	−	0.00212036i
$550$	12.5216	+	24.5750i	0.533922	+	1.04788i
$551$	20.9723	+	15.2372i	0.893449	+	0.649128i
$552$	−0.180253	+	1.13807i	−0.00767207	+	0.0484395i
$553$	9.61664	+	13.2362i	0.408941	+	0.562859i
$554$	19.2123	+	26.4434i	0.816251	+	1.12347i
$555$	−2.33467	+	14.7405i	−0.0991013	+	0.625701i
$556$	−25.1400	−	18.2653i	−1.06617	−	0.774620i
$557$	−7.40507	−	14.5333i	−0.313763	−	0.615794i	0.679236	−	0.733920i	$-0.262311\pi$
$557$	−7.40507	−	14.5333i	−0.313763	−	0.615794i	−0.992999	+	0.118126i	$0.962311\pi$
$558$	−0.378788	+	0.275206i	−0.0160354	+	0.0116504i
$559$	14.4480	+	7.36164i	0.611087	+	0.311364i
$560$	−4.04976	+	4.04976i	−0.171133	+	0.171133i
$561$	−0.746422	−	4.71272i	−0.0315140	−	0.198971i
$562$	−7.09599	+	13.9267i	−0.299326	+	0.587461i
$563$	0.821088	−	0.418365i	0.0346047	−	0.0176320i	−0.436603	−	0.899655i	$-0.643818\pi$
$563$	0.821088	−	0.418365i	0.0346047	−	0.0176320i	0.471207	+	0.882023i	$0.343818\pi$
$564$	−18.9860	+	58.4329i	−0.799454	+	2.46047i
$565$			24.2855i			1.02170i
$566$	29.9789	+	9.74073i	1.26011	+	0.409434i
$567$	−8.96264	−	1.41954i	−0.376395	−	0.0596152i
$568$	4.50685	−	0.713815i	0.189103	−	0.0299510i
$569$	32.1057	−	10.4318i	1.34594	−	0.437323i	0.454616	−	0.890688i	$-0.349777\pi$
$569$	32.1057	−	10.4318i	1.34594	−	0.437323i	0.891325	+	0.453365i	$0.149777\pi$
$570$	−17.1076	−	52.6517i	−0.716558	−	2.20534i
$571$	−4.84982	−	4.84982i	−0.202959	−	0.202959i	0.598308	−	0.801266i	$-0.295840\pi$
$571$	−4.84982	−	4.84982i	−0.202959	−	0.202959i	−0.801266	+	0.598308i	$0.795840\pi$
$572$	−15.2610	+	21.0049i	−0.638093	+	0.878260i
$573$	−43.6340			−1.82284
$574$	−0.299004	+	14.0269i	−0.0124802	+	0.585470i
$575$	2.12669			0.0886893
$576$	0.185265	−	0.254995i	0.00771938	−	0.0106248i
$577$	−10.3867	−	10.3867i	−0.432405	−	0.432405i	0.457041	−	0.889446i	$-0.348909\pi$
$577$	−10.3867	−	10.3867i	−0.432405	−	0.432405i	−0.889446	+	0.457041i	$0.848909\pi$
$578$	−10.4896	−	32.2838i	−0.436312	−	1.34283i
$579$	−40.8447	+	13.2712i	−1.69745	+	0.551534i
$580$	−52.4998	+	8.31516i	−2.17994	+	0.345268i
$581$	11.6957	+	1.85242i	0.485220	+	0.0768513i
$582$	2.99277	+	0.972409i	0.124054	+	0.0403077i
$583$		−	10.9805i		−	0.454768i
$584$	7.90117	−	24.3173i	0.326953	−	1.00626i
$585$	−0.301299	+	0.153520i	−0.0124572	+	0.00634726i
$586$	−18.1440	+	35.6097i	−0.749523	+	1.47102i
$587$	−3.05226	−	19.2712i	−0.125980	−	0.795408i	−0.967070	−	0.254512i	$-0.918085\pi$
$587$	−3.05226	−	19.2712i	−0.125980	−	0.795408i	0.841089	−	0.540896i	$-0.181915\pi$
$588$	−3.44482	+	3.44482i	−0.142062	+	0.142062i
$589$	−33.9351	−	17.2908i	−1.39827	−	0.712455i
$590$	−12.0164	+	8.73045i	−0.494709	+	0.359427i
$591$	−2.27607	−	4.46704i	−0.0936250	−	0.183749i
$592$	−3.73873	−	2.71635i	−0.153661	−	0.111641i
$593$	3.05868	−	19.3117i	0.125605	−	0.793038i	−0.841798	−	0.539793i	$-0.818502\pi$
$593$	3.05868	−	19.3117i	0.125605	−	0.793038i	0.967402	−	0.253244i	$-0.0814976\pi$
$594$	−14.8882	−	20.4919i	−0.610872	−	0.840793i
$595$	2.35373	+	3.23963i	0.0964933	+	0.132812i
$596$	−0.335935	+	2.12101i	−0.0137604	+	0.0868801i
$597$	27.4855	+	19.9694i	1.12491	+	0.817291i
$598$	1.55783	+	3.05740i	0.0637042	+	0.125027i
$599$	−10.3596	+	7.52672i	−0.423283	+	0.307533i	−0.778957	−	0.627077i	$-0.784251\pi$
$599$	−10.3596	+	7.52672i	−0.423283	+	0.307533i	0.355674	+	0.934610i	$0.384251\pi$
$600$	15.3250	+	7.80850i	0.625642	+	0.318781i
$601$	9.22676	−	9.22676i	0.376367	−	0.376367i	−0.493423	−	0.869790i	$-0.664254\pi$
$601$	9.22676	−	9.22676i	0.376367	−	0.376367i	0.869790	+	0.493423i	$0.164254\pi$
$602$	1.33965	+	8.45819i	0.0545999	+	0.344730i
$603$	−0.107633	+	0.211242i	−0.00438316	+	0.00860243i
$604$	−42.6393	+	21.7258i	−1.73497	+	0.884010i
$605$	−6.05504	+	18.6355i	−0.246172	+	0.757641i
$606$		−	23.3044i		−	0.946677i
$607$	1.52810	+	0.496511i	0.0620238	+	0.0201528i	0.339865	−	0.940474i	$-0.389619\pi$
$607$	1.52810	+	0.496511i	0.0620238	+	0.0201528i	−0.277841	+	0.960627i	$0.589619\pi$
$608$	32.3769	+	5.12799i	1.31305	+	0.207967i
$609$	9.99648	−	1.58329i	0.405078	−	0.0641580i
$610$	−22.9815	+	7.46715i	−0.930495	+	0.302336i
$611$	16.1692	+	49.7638i	0.654138	+	2.01323i
$612$	−0.0607873	−	0.0607873i	−0.00245718	−	0.00245718i
$613$	5.07570	−	6.98610i	0.205005	−	0.282166i	−0.694118	−	0.719862i	$-0.744205\pi$
$613$	5.07570	−	6.98610i	0.205005	−	0.282166i	0.899123	+	0.437696i	$0.144205\pi$
$614$	−3.04331			−0.122818
$615$	−34.7707	+	10.4839i	−1.40209	+	0.422751i
$616$	−3.92127			−0.157993
$617$	5.48033	−	7.54302i	0.220630	−	0.303671i	−0.684326	−	0.729176i	$-0.739904\pi$
$617$	5.48033	−	7.54302i	0.220630	−	0.303671i	0.904956	+	0.425505i	$0.139904\pi$
$618$	12.8705	+	12.8705i	0.517728	+	0.517728i
$619$	−12.2805	−	37.7954i	−0.493594	−	1.51913i	−0.819136	−	0.573599i	$-0.805547\pi$
$619$	−12.2805	−	37.7954i	−0.493594	−	1.51913i	0.325542	−	0.945528i	$-0.394453\pi$
$620$	74.2720	−	24.1324i	2.98283	−	0.969181i
$621$	−1.92902	+	0.305527i	−0.0774089	+	0.0122604i
$622$	−11.3818	−	1.80270i	−0.456370	−	0.0722819i
$623$	10.5339	+	3.42268i	0.422033	+	0.137127i
$624$		−	12.6733i		−	0.507338i
$625$	−6.62109	+	20.3776i	−0.264844	+	0.815105i
$626$	6.75024	−	3.43942i	0.269794	−	0.137467i
$627$	−7.85848	+	15.4231i	−0.313837	+	0.615941i
$628$	−7.40658	−	46.7633i	−0.295555	−	1.86606i
$629$	−2.28479	+	2.28479i	−0.0911003	+	0.0911003i
$630$	−0.159121	−	0.0810763i	−0.00633954	−	0.00323016i
$631$	14.0711	−	10.2232i	0.560160	−	0.406980i	−0.271357	−	0.962479i	$-0.587473\pi$
$631$	14.0711	−	10.2232i	0.560160	−	0.406980i	0.831518	+	0.555498i	$0.187473\pi$
$632$	13.0368	+	25.5862i	0.518577	+	1.01776i
$633$	37.3044	+	27.1032i	1.48272	+	1.07726i
$634$	6.45550	−	40.7584i	0.256381	−	1.61872i
$635$	31.5466	+	43.4202i	1.25189	+	1.72308i
$636$	−14.0740	−	19.3712i	−0.558070	−	0.768117i
$637$	−0.649038	+	4.09786i	−0.0257158	+	0.162363i
$638$	23.0461	+	16.7440i	0.912403	+	0.662900i
$639$	−0.0294989	−	0.0578948i	−0.00116696	−	0.00229028i
$640$	−34.0731	+	24.7556i	−1.34686	+	0.978550i
$641$	−22.9184	−	11.6775i	−0.905223	−	0.461234i	−0.0615576	−	0.998104i	$-0.519607\pi$
$641$	−22.9184	−	11.6775i	−0.905223	−	0.461234i	−0.843665	+	0.536869i	$0.819607\pi$
$642$	5.86148	−	5.86148i	0.231334	−	0.231334i
$643$	−1.18075	−	7.45497i	−0.0465643	−	0.293995i	0.953406	−	0.301690i	$-0.0975507\pi$
$643$	−1.18075	−	7.45497i	−0.0465643	−	0.293995i	−0.999970	+	0.00769455i	$0.997551\pi$
$644$	−0.479990	+	0.942034i	−0.0189143	+	0.0371213i
$645$	−19.7509	+	10.0636i	−0.777692	+	0.396254i
$646$	3.70387	−	11.3993i	0.145727	−	0.448501i
$647$			23.7596i			0.934088i	0.884234	+	0.467044i	$0.154681\pi$
$647$			23.7596i			0.934088i	−0.884234	+	0.467044i	$0.845319\pi$
$648$	−15.1476	−	4.92174i	−0.595052	−	0.193344i
$649$	4.58694	+	0.726500i	0.180053	+	0.0285176i
$650$	50.5898	−	8.01264i	1.98430	−	0.314282i
$651$	−14.1421	+	4.59505i	−0.554273	+	0.180094i
$652$	6.40287	+	19.7060i	0.250756	+	0.771747i
$653$	1.76070	+	1.76070i	0.0689013	+	0.0689013i	0.740718	−	0.671816i	$-0.234486\pi$
$653$	1.76070	+	1.76070i	0.0689013	+	0.0689013i	−0.671816	+	0.740718i	$0.734486\pi$
$654$	27.9093	−	38.4138i	1.09134	−	1.50210i
$655$	20.4667			0.799699
$656$	1.99551	−	11.0671i	0.0779115	−	0.432098i
$657$	−0.364095			−0.0142047
$658$	−16.2426	+	22.3560i	−0.633203	+	0.871529i
$659$	6.70669	+	6.70669i	0.261256	+	0.261256i	0.825564	−	0.564308i	$-0.190857\pi$
$659$	6.70669	+	6.70669i	0.261256	+	0.261256i	−0.564308	+	0.825564i	$0.690857\pi$
$660$	−10.9679	−	33.7558i	−0.426926	−	1.31394i
$661$	−21.8683	+	7.10544i	−0.850578	+	0.276369i	−0.701688	−	0.712484i	$-0.747570\pi$
$661$	−21.8683	+	7.10544i	−0.850578	+	0.276369i	−0.148890	+	0.988854i	$0.547570\pi$
$662$	40.9872	−	6.49174i	1.59301	−	0.252309i
$663$	−8.75191	−	1.38617i	−0.339896	−	0.0538342i
$664$	19.7667	+	6.42258i	0.767096	+	0.249245i
$665$		−	14.5270i		−	0.563334i
$666$	0.0445300	−	0.137049i	0.00172550	−	0.00531055i
$667$	1.95710	−	0.997192i	0.0757792	−	0.0386114i
$668$	−3.69270	+	7.24733i	−0.142875	+	0.280408i
$669$	8.03290	+	50.7177i	0.310570	+	1.96086i
$670$	47.9269	−	47.9269i	1.85158	−	1.85158i
$671$	6.73191	+	3.43008i	0.259883	+	0.132417i
$672$	10.3541	−	7.52269i	0.399418	−	0.290194i
$673$	−1.34285	−	2.63549i	−0.0517631	−	0.101591i	0.863676	−	0.504048i	$-0.168156\pi$
$673$	−1.34285	−	2.63549i	−0.0517631	−	0.101591i	−0.915439	+	0.402457i	$0.868156\pi$
$674$	41.3721	+	30.0586i	1.59359	+	1.15781i
$675$	−4.56059	+	28.7944i	−0.175537	+	1.10830i
$676$	6.93753	+	9.54869i	0.266828	+	0.367257i
$677$	−21.1854	−	29.1592i	−0.814222	−	1.12068i	−0.990658	−	0.136369i	$-0.956457\pi$
$677$	−21.1854	−	29.1592i	−0.814222	−	1.12068i	0.176436	−	0.984312i	$-0.443543\pi$
$678$	4.43971	−	28.0312i	0.170506	−	1.07653i
$679$	0.668028	+	0.485351i	0.0256366	+	0.0186261i
$680$	3.19083	+	6.26236i	0.122363	+	0.240151i
$681$	−10.8489	+	7.88220i	−0.415731	+	0.302046i
$682$	−37.2907	−	19.0006i	−1.42794	−	0.727570i
$683$	23.2480	−	23.2480i	0.889559	−	0.889559i	−0.104922	−	0.994480i	$-0.533459\pi$
$683$	23.2480	−	23.2480i	0.889559	−	0.889559i	0.994480	+	0.104922i	$0.0334592\pi$
$684$	0.0487865	+	0.308026i	0.00186540	+	0.0117777i
$685$	−11.5892	+	22.7451i	−0.442801	+	0.869046i
$686$	−1.95231	+	0.994751i	−0.0745395	+	0.0379798i
$687$	−4.29790	+	13.2276i	−0.163975	+	0.504663i
$688$		−	6.86404i		−	0.261689i
$689$	−19.3937	−	6.30140i	−0.738842	−	0.240064i
$690$	−4.63309	−	0.733809i	−0.176379	−	0.0279356i
$691$	−13.6238	+	2.15780i	−0.518274	+	0.0820865i	−0.410091	−	0.912045i	$-0.634503\pi$
$691$	−13.6238	+	2.15780i	−0.518274	+	0.0820865i	−0.108183	+	0.994131i	$0.534503\pi$
$692$	25.2948	−	8.21878i	0.961565	−	0.312431i
$693$	0.0172550	+	0.0531054i	0.000655463	+	0.00201731i
$694$	−1.44495	−	1.44495i	−0.0548497	−	0.0548497i
$695$	21.2648	−	29.2685i	0.806620	−	1.11022i
$696$	17.7643			0.673353
$697$	−7.42445	−	2.58854i	−0.281221	−	0.0980480i
$698$	−49.2105			−1.86264
$699$	15.9797	−	21.9941i	0.604406	−	0.831893i
$700$	11.1594	+	11.1594i	0.421787	+	0.421787i
$701$	10.2468	+	31.5365i	0.387018	+	1.19112i	0.935006	+	0.354632i	$0.115394\pi$
$701$	10.2468	+	31.5365i	0.387018	+	1.19112i	−0.547988	+	0.836486i	$0.684606\pi$
$702$	−44.7365	+	14.5358i	−1.68847	+	0.548617i
$703$	11.5776	−	1.83372i	0.436659	−	0.0691600i
$704$	27.8276	+	4.40746i	1.04879	+	0.166112i
$705$	−68.0287	−	22.1039i	−2.56211	−	0.832480i
$706$			67.4966i			2.54027i
$707$	1.88969	−	5.81587i	0.0710691	−	0.218728i
$708$	9.02315	−	4.59753i	0.339111	−	0.172786i
$709$	−1.78377	+	3.50084i	−0.0669908	+	0.131477i	−0.922074	−	0.387015i	$-0.873506\pi$
$709$	−1.78377	+	3.50084i	−0.0669908	+	0.131477i	0.855083	+	0.518492i	$0.173506\pi$
$710$	2.90594	+	18.3474i	0.109058	+	0.688565i
$711$	0.289145	−	0.289145i	0.0108438	−	0.0108438i
$712$	17.3215	+	8.82574i	0.649151	+	0.330759i
$713$	−2.61078	+	1.89684i	−0.0977744	+	0.0710373i
$714$	−2.12451	−	4.16959i	−0.0795080	−	0.156043i
$715$	−24.4543	−	17.7671i	−0.914541	−	0.664453i
$716$	8.50000	−	53.6669i	0.317660	−	2.00563i
$717$	14.0829	+	19.3835i	0.525937	+	0.723890i
$718$	22.1906	+	30.5427i	0.828145	+	1.13984i
$719$	3.98079	−	25.1337i	0.148458	−	0.937329i	−0.795186	−	0.606366i	$-0.792627\pi$
$719$	3.98079	−	25.1337i	0.148458	−	0.937329i	0.943644	−	0.330963i	$-0.107373\pi$
$720$	0.115805	+	0.0841372i	0.00431580	+	0.00313561i
$721$	2.16834	+	4.25562i	0.0807534	+	0.158487i
$722$	−1.49743	+	1.08795i	−0.0557286	+	0.0404892i
$723$	9.10893	+	4.64123i	0.338765	+	0.172609i
$724$	−46.3218	+	46.3218i	−1.72154	+	1.72154i
$725$	−5.12903	−	32.3835i	−0.190488	−	1.20269i
$726$	10.3958	−	20.4029i	0.385824	−	0.757221i
$727$	18.6109	−	9.48271i	0.690239	−	0.351694i	−0.0734317	−	0.997300i	$-0.523395\pi$
$727$	18.6109	−	9.48271i	0.690239	−	0.351694i	0.763671	+	0.645606i	$0.223395\pi$
$728$	−2.25030	+	6.92571i	−0.0834016	+	0.256684i
$729$		−	26.7713i		−	0.991531i
$730$	98.9957	+	32.1657i	3.66400	+	1.19050i
$731$	−4.74016	−	0.750768i	−0.175321	−	0.0277682i
$732$	16.2724	−	2.57730i	0.601446	−	0.0952596i
$733$	21.4478	−	6.96880i	0.792191	−	0.257399i	0.115154	−	0.993348i	$-0.463264\pi$
$733$	21.4478	−	6.96880i	0.792191	−	0.257399i	0.677037	+	0.735949i	$0.263264\pi$
$734$	−24.4074	−	75.1181i	−0.900892	−	2.77266i
$735$	−4.01052	−	4.01052i	−0.147930	−	0.147930i
$736$	1.63259	−	2.24707i	0.0601781	−	0.0828281i
$737$	−21.1924			−0.780632
$738$	0.347432	−	0.0474616i	0.0127892	−	0.00174709i
$739$	45.9753			1.69123			0.845614	−	0.533796i	$-0.179235\pi$
$739$	45.9753			1.69123			0.845614	+	0.533796i	$0.179235\pi$
$740$	−14.1276	+	19.4450i	−0.519341	+	0.714812i
$741$	22.7304	+	22.7304i	0.835023	+	0.835023i
$742$	−3.32788	−	10.2421i	−0.122170	−	0.376001i
$743$	23.4482	−	7.61878i	0.860230	−	0.279506i	0.154506	−	0.987992i	$-0.450622\pi$
$743$	23.4482	−	7.61878i	0.860230	−	0.279506i	0.705725	+	0.708486i	$0.250622\pi$
$744$	−25.7779	+	4.08282i	−0.945065	+	0.149684i
$745$	−2.46933	−	0.391103i	−0.0904691	−	0.0143289i
$746$	12.5774	+	4.08666i	0.460493	+	0.149623i
$747$		−	0.295960i		−	0.0108286i
$748$	2.37460	−	7.30828i	0.0868241	−	0.267217i
$749$	1.93809	−	0.987504i	0.0708161	−	0.0360826i
$750$	−3.57857	+	7.02334i	−0.130671	+	0.256456i
$751$	−2.43677	−	15.3852i	−0.0889191	−	0.561413i	−0.991419	−	0.130723i	$-0.958270\pi$
$751$	−2.43677	−	15.3852i	−0.0889191	−	0.561413i	0.902500	−	0.430690i	$-0.141730\pi$
$752$	15.6619	−	15.6619i	0.571131	−	0.571131i
$753$	−25.0187	−	12.7477i	−0.911731	−	0.464550i
$754$	42.7984	−	31.0949i	1.55863	−	1.13241i
$755$	−25.2936	−	49.6415i	−0.920528	−	1.80664i
$756$	−11.7254	−	8.51898i	−0.426448	−	0.309832i
$757$	7.27382	−	45.9251i	0.264371	−	1.66917i	−0.396011	−	0.918246i	$-0.629606\pi$
$757$	7.27382	−	45.9251i	0.264371	−	1.66917i	0.660383	−	0.750929i	$-0.270394\pi$
$758$	−34.6261	−	47.6587i	−1.25768	−	1.73104i
$759$	0.862094	+	1.18657i	0.0312920	+	0.0430698i
$760$	3.98868	−	25.1836i	0.144685	−	0.913503i
$761$	−25.1981	−	18.3075i	−0.913430	−	0.663646i	0.0284498	−	0.999595i	$-0.490943\pi$
$761$	−25.1981	−	18.3075i	−0.913430	−	0.663646i	−0.941880	+	0.335949i	$0.890943\pi$
$762$	−28.4746	−	55.8845i	−1.03152	−	2.02448i
$763$	10.0799	−	7.32350i	0.364918	−	0.265128i
$764$	−62.6127	−	31.9028i	−2.26525	−	1.15420i
$765$	0.0707698	−	0.0707698i	0.00255869	−	0.00255869i
$766$	7.00220	+	44.2102i	0.253000	+	1.59738i
$767$	3.91544	−	7.68449i	0.141378	−	0.277471i
$768$	4.76809	−	2.42946i	0.172054	−	0.0876657i
$769$	3.47415	−	10.6923i	0.125281	−	0.385576i	−0.868671	−	0.495389i	$-0.835025\pi$
$769$	3.47415	−	10.6923i	0.125281	−	0.385576i	0.993952	+	0.109813i	$0.0350254\pi$
$770$		−	15.9635i		−	0.575285i
$771$	9.00323	+	2.92533i	0.324244	+	0.105353i
$772$	−68.3133	−	10.8198i	−2.45865	−	0.389412i
$773$	17.8184	−	2.82215i	0.640882	−	0.101506i	0.172468	−	0.985015i	$-0.444826\pi$
$773$	17.8184	−	2.82215i	0.640882	−	0.101506i	0.468414	+	0.883509i	$0.344826\pi$
$774$	0.203559	−	0.0661403i	0.00731677	−	0.00237736i
$775$	14.8856	+	45.8131i	0.534706	+	1.64566i
$776$	1.02481	+	1.02481i	0.0367884	+	0.0367884i
$777$	2.69004	−	3.70252i	0.0965045	−	0.132827i
$778$	50.9395			1.82627
$779$	16.2705	+	23.4287i	0.582953	+	0.839420i
$780$	−65.9132			−2.36007
$781$	3.41396	−	4.69891i	0.122161	−	0.168140i
$782$	−0.718129	−	0.718129i	−0.0256802	−	0.0256802i
$783$	9.30460	+	28.6366i	0.332519	+	1.02339i
$784$	1.67031	−	0.542715i	0.0596538	−	0.0193827i
$785$	54.4427	−	8.62288i	1.94315	−	0.307764i
$786$	−23.6234	−	3.74158i	−0.842620	−	0.133458i
$787$	−3.98532	−	1.29491i	−0.142061	−	0.0461585i	0.237123	−	0.971480i	$-0.423795\pi$
$787$	−3.98532	−	1.29491i	−0.142061	−	0.0461585i	−0.379185	+	0.925321i	$0.623795\pi$
$788$		−	8.07413i		−	0.287629i
$789$	−6.45107	+	19.8543i	−0.229664	+	0.706833i
$790$	−104.161	+	53.0729i	−3.70590	+	1.88825i
$791$	3.38095	−	6.63549i	0.120213	−	0.235931i
$792$	0.0153315	+	0.0967995i	0.000544782	+	0.00343962i
$793$	9.92141	−	9.92141i	0.352320	−	0.352320i
$794$	53.1926	+	27.1030i	1.88773	+	0.961849i
$795$	22.5523	−	16.3852i	0.799848	−	0.581124i
$796$	24.8398	+	48.7509i	0.880425	+	1.72793i
$797$	25.6362	+	18.6258i	0.908082	+	0.659760i	0.940529	−	0.339713i	$-0.110330\pi$
$797$	25.6362	+	18.6258i	0.908082	+	0.659760i	−0.0324471	+	0.999473i	$0.510330\pi$
$798$	−2.65574	+	16.7677i	−0.0940120	+	0.593569i
$799$	−9.10273	−	12.5288i	−0.322031	−	0.443238i
$800$	−24.3696	−	33.5419i	−0.861597	−	1.18589i
$801$	0.0433054	−	0.273420i	0.00153012	−	0.00966081i
$802$	−63.5736	−	46.1889i	−2.24486	−	1.63099i
$803$	−14.7755	−	28.9986i	−0.521416	−	1.02334i
$804$	−37.3863	+	27.1627i	−1.31851	+	0.957955i
$805$	−1.09674	−	0.558814i	−0.0386548	−	0.0196956i
$806$	−54.9586	+	54.9586i	−1.93583	+	1.93583i
$807$	−5.99819	−	37.8711i	−0.211146	−	1.33312i
$808$	4.87276	−	9.56334i	0.171423	−	0.336437i
$809$	−41.1120	+	20.9476i	−1.44542	+	0.736478i	−0.988242	−	0.152898i	$-0.951140\pi$
$809$	−41.1120	+	20.9476i	−1.44542	+	0.736478i	−0.457177	+	0.889376i	$0.651140\pi$
$810$	20.0364	−	61.6657i	0.704007	−	2.16671i
$811$			11.0082i			0.386552i	0.981144	+	0.193276i	$0.0619112\pi$
$811$			11.0082i			0.386552i	−0.981144	+	0.193276i	$0.938089\pi$
$812$	15.5021	+	5.03693i	0.544017	+	0.176762i
$813$	−22.7021	−	3.59566i	−0.796197	−	0.126105i
$814$	12.7225	−	2.01504i	0.445922	−	0.0706272i
$815$	−22.9421	+	7.45435i	−0.803628	+	0.261115i
$816$	1.15909	+	3.56732i	0.0405763	+	0.124881i
$817$	12.3111	+	12.3111i	0.430712	+	0.430712i
$818$	−41.0137	+	56.4505i	−1.43401	+	1.97374i
$819$	0.103696			0.00362344
$820$	−57.5595	−	10.3785i	−2.01007	−	0.362435i
$821$	26.8660			0.937629			0.468815	−	0.883297i	$-0.344681\pi$
$821$	26.8660			0.937629			0.468815	+	0.883297i	$0.344681\pi$
$822$	17.5348	−	24.1346i	0.611598	−	0.841792i
$823$	7.63606	+	7.63606i	0.266176	+	0.266176i	0.827557	−	0.561381i	$-0.189730\pi$
$823$	7.63606	+	7.63606i	0.266176	+	0.266176i	−0.561381	+	0.827557i	$0.689730\pi$
$824$	2.59050	+	7.97275i	0.0902445	+	0.277744i
$825$	20.8216	−	6.76534i	0.724914	−	0.235539i
$826$	4.49867	−	0.712519i	0.156529	−	0.0247917i
$827$	19.1326	+	3.03031i	0.665306	+	0.105374i	0.479948	−	0.877297i	$-0.340656\pi$
$827$	19.1326	+	3.03031i	0.665306	+	0.105374i	0.185358	+	0.982671i	$0.440656\pi$
$828$	0.0251315	+	0.00816571i	0.000873379	+	0.000283778i
$829$			41.0984i			1.42740i	0.700449	+	0.713702i	$0.252983\pi$
$829$			41.0984i			1.42740i	−0.700449	+	0.713702i	$0.747017\pi$
$830$	−26.1463	+	80.4701i	−0.907552	+	2.79316i
$831$	23.1172	−	11.7788i	0.801927	−	0.408602i
$832$	23.7538	−	46.6195i	0.823515	−	1.61624i
$833$	−0.192095	−	1.21284i	−0.00665569	−	0.0420224i
$834$	−29.8953	+	29.8953i	−1.03519	+	1.03519i
$835$	−8.43748	−	4.29911i	−0.291991	−	0.148777i
$836$	−22.5531	+	16.3858i	−0.780015	+	0.566714i
$837$	−20.0836	−	39.4164i	−0.694192	−	1.36243i
$838$	−33.6855	−	24.4740i	−1.16365	−	0.845439i
$839$	−5.07575	+	32.0470i	−0.175234	+	1.10639i	0.730616	+	0.682788i	$0.239233\pi$
$839$	−5.07575	+	32.0470i	−0.175234	+	1.10639i	−0.905851	+	0.423597i	$0.860767\pi$
$840$	−5.85134	−	8.05368i	−0.201890	−	0.277878i
$841$	−2.85861	−	3.93454i	−0.0985728	−	0.135674i
$842$	8.60357	−	54.3208i	0.296499	−	1.87202i
$843$	10.0373	+	7.29255i	0.345704	+	0.251169i
$844$	33.7137	+	66.1668i	1.16047	+	2.27756i
$845$	−11.1168	+	8.07681i	−0.382429	+	0.277851i
$846$	0.615381	+	0.313552i	0.0211572	+	0.0107801i
$847$	4.24879	−	4.24879i	0.145990	−	0.145990i
$848$	1.35033	+	8.52564i	0.0463705	+	0.292772i
$849$	11.3593	−	22.2938i	0.389849	−	0.765123i
$850$	−13.5073	+	6.88233i	−0.463298	+	0.236062i
$851$	0.306921	−	0.944605i	0.0105211	−	0.0323807i
$852$		−	12.6653i		−	0.433905i
$853$	31.3365	+	10.1819i	1.07294	+	0.348620i	0.791633	−	0.610997i	$-0.209231\pi$
$853$	31.3365	+	10.1819i	1.07294	+	0.348620i	0.281309	+	0.959617i	$0.409231\pi$
$854$	7.31877	+	1.15918i	0.250443	+	0.0396663i
$855$	−0.358610	+	0.0567982i	−0.0122642	+	0.00194246i
$856$	3.63094	−	1.17976i	0.124103	−	0.0403235i
$857$	−12.8261	−	39.4746i	−0.438131	−	1.34843i	−0.889844	−	0.456265i	$-0.849187\pi$
$857$	−12.8261	−	39.4746i	−0.438131	−	1.34843i	0.451713	−	0.892163i	$-0.350813\pi$
$858$	24.9781	+	24.9781i	0.852738	+	0.852738i
$859$	−0.868261	+	1.19506i	−0.0296247	+	0.0407749i	−0.823572	−	0.567211i	$-0.808022\pi$
$859$	−0.868261	+	1.19506i	−0.0296247	+	0.0407749i	0.793948	+	0.607986i	$0.208022\pi$
$860$	−35.6996			−1.21735
$861$	10.9599	+	1.97618i	0.373512	+	0.0673479i
$862$	−43.0672			−1.46687
$863$	12.4581	−	17.1471i	0.424078	−	0.583693i	−0.542503	−	0.840054i	$-0.682523\pi$
$863$	12.4581	−	17.1471i	0.424078	−	0.583693i	0.966581	+	0.256361i	$0.0825235\pi$
$864$	26.9232	+	26.9232i	0.915947	+	0.915947i
$865$	9.56847	+	29.4487i	0.325338	+	1.00129i
$866$	6.54361	−	2.12615i	0.222361	−	0.0722495i
$867$	−26.6130	+	4.21508i	−0.903823	+	0.143152i
$868$	−23.6529	−	3.74625i	−0.802832	−	0.127156i
$869$	34.7631	+	11.2952i	1.17926	+	0.383163i
$870$			72.3184i			2.45182i
$871$	−12.1617	+	37.4298i	−0.412082	+	1.26826i
$872$	19.4850	−	9.92812i	0.659847	−	0.336209i
$873$	0.00936935	−	0.0183884i	0.000317105	−	0.000622353i
$874$	0.576354	+	3.63896i	0.0194955	+	0.123090i
$875$	−1.46257	+	1.46257i	−0.0494440	+	0.0494440i
$876$	−63.2340	−	32.2193i	−2.13648	−	1.08859i
$877$	−46.7929	+	33.9971i	−1.58009	+	1.14800i	−0.663489	+	0.748186i	$0.730925\pi$
$877$	−46.7929	+	33.9971i	−1.58009	+	1.14800i	−0.916597	+	0.399813i	$0.869075\pi$
$878$	4.25901	+	8.35879i	0.143735	+	0.282095i
$879$	25.6649	+	18.6466i	0.865655	+	0.628935i
$880$	−2.00163	+	12.6378i	−0.0674748	+	0.426019i
$881$	−11.0233	−	15.1723i	−0.371385	−	0.511168i	0.581891	−	0.813266i	$-0.302313\pi$
$881$	−11.0233	−	15.1723i	−0.371385	−	0.511168i	−0.953277	+	0.302098i	$0.902313\pi$
$882$	0.0321893	+	0.0443048i	0.00108387	+	0.00149182i
$883$	−3.68317	+	23.2546i	−0.123948	+	0.782579i	0.844900	+	0.534924i	$0.179660\pi$
$883$	−3.68317	+	23.2546i	−0.123948	+	0.782579i	−0.968848	+	0.247655i	$0.920340\pi$
$884$	−11.5451	−	8.38800i	−0.388303	−	0.282119i
$885$	5.35253	+	10.5049i	0.179923	+	0.353120i
$886$	30.1849	−	21.9306i	1.01408	−	0.736773i
$887$	−23.7807	−	12.1169i	−0.798477	−	0.406844i	0.00662721	−	0.999978i	$-0.497890\pi$
$887$	−23.7807	−	12.1169i	−0.798477	−	0.406844i	−0.805104	+	0.593134i	$0.797890\pi$
$888$	5.67995	−	5.67995i	0.190607	−	0.190607i
$889$	−2.57462	−	16.2555i	−0.0863499	−	0.545192i
$890$	−35.9296	+	70.5158i	−1.20436	+	2.36370i
$891$	−18.0636	+	9.20385i	−0.605152	+	0.308340i
$892$	−25.5552	+	78.6508i	−0.855651	+	2.63342i
$893$			56.1814i			1.88004i
$894$	2.77869	+	0.902852i	0.0929334	+	0.0301959i
$895$	62.4801	+	9.89587i	2.08848	+	0.330782i
$896$	12.7562	−	2.02038i	0.426154	−	0.0674961i
$897$	2.59044	−	0.841684i	0.0864922	−	0.0281030i
$898$	−7.28460	−	22.4197i	−0.243090	−	0.748155i
$899$	35.1800	+	35.1800i	1.17332	+	1.17332i
$900$	0.231847	−	0.319110i	0.00772824	−	0.0106370i
$901$	6.03532			0.201066
$902$	17.8794	+	25.7454i	0.595320	+	0.857228i
$903$	6.79755			0.226208
$904$	7.68301	−	10.5748i	0.255533	−	0.351711i
$905$	−53.9288	−	53.9288i	−1.79265	−	1.79265i
$906$	20.1197	+	61.9221i	0.668433	+	2.05722i
$907$	28.9679	−	9.41224i	0.961863	−	0.312528i	0.214336	−	0.976760i	$-0.431241\pi$
$907$	28.9679	−	9.41224i	0.961863	−	0.312528i	0.747527	+	0.664232i	$0.231241\pi$
$908$	−21.3307	+	3.37845i	−0.707884	+	0.112118i
$909$	−0.150957	−	0.0239093i	−0.00500694	−	0.000793021i
$910$	−28.1946	−	9.16097i	−0.934641	−	0.303683i
$911$			21.2309i			0.703412i	0.936110	+	0.351706i	$0.114398\pi$
$911$			21.2309i			0.703412i	−0.936110	+	0.351706i	$0.885602\pi$
$912$	4.20491	−	12.9414i	0.139239	−	0.428532i
$913$	23.5719	−	12.0105i	0.780116	−	0.397489i
$914$	12.2556	−	24.0530i	0.405381	−	0.795604i
$915$	3.00054	+	18.9447i	0.0991948	+	0.626291i
$916$	−15.8386	+	15.8386i	−0.523320	+	0.523320i
$917$	−5.59209	−	2.84931i	−0.184667	−	0.0940926i
$918$	11.2631	−	8.18313i	0.371738	−	0.270084i
$919$	18.2702	+	35.8572i	0.602678	+	1.18282i	0.967767	+	0.251849i	$0.0810385\pi$
$919$	18.2702	+	35.8572i	0.602678	+	1.18282i	−0.365089	+	0.930973i	$0.618961\pi$
$920$	−1.74783	−	1.26987i	−0.0576242	−	0.0418664i
$921$	−0.377897	+	2.38595i	−0.0124521	+	0.0786196i
$922$	−16.7436	−	23.0456i	−0.551421	−	0.758966i
$923$	−6.34000	−	8.72626i	−0.208684	−	0.287228i
$924$	−1.70263	+	10.7500i	−0.0560124	+	0.353649i
$925$	−11.9942	−	8.71433i	−0.394368	−	0.286525i
$926$	0.500723	+	0.982724i	0.0164548	+	0.0322943i
$927$	0.0965750	−	0.0701659i	0.00317194	−	0.00230455i
$928$	−38.1538	−	19.4403i	−1.25246	−	0.638160i
$929$	−3.58948	+	3.58948i	−0.117767	+	0.117767i	−0.763534	−	0.645767i	$-0.776538\pi$
$929$	−3.58948	+	3.58948i	−0.117767	+	0.117767i	0.645767	+	0.763534i	$0.276538\pi$
$930$	−16.6212	−	104.942i	−0.545030	−	3.44118i
$931$	−2.02241	+	3.96921i	−0.0662818	+	0.130085i
$932$	39.0109	−	19.8771i	1.27785	−	0.651095i
$933$	−2.82663	+	8.69947i	−0.0925397	+	0.284808i
$934$		−	57.0744i		−	1.86753i
$935$	8.50845	+	2.76456i	0.278256	+	0.0904108i
$936$	0.179764	+	0.0284719i	0.00587578	+	0.000930633i
$937$	9.04459	−	1.43252i	0.295474	−	0.0467984i	−0.00693769	−	0.999976i	$-0.502208\pi$
$937$	9.04459	−	1.43252i	0.295474	−	0.0467984i	0.302411	+	0.953177i	$0.402208\pi$
$938$	−19.7673	+	6.42278i	−0.645425	+	0.209711i
$939$	−1.85830	−	5.71925i	−0.0606433	−	0.186641i
$940$	−81.4569	−	81.4569i	−2.65683	−	2.65683i
$941$	24.0307	−	33.0754i	0.783377	−	1.07823i	−0.211524	−	0.977373i	$-0.567843\pi$
$941$	24.0307	−	33.0754i	0.783377	−	1.07823i	0.994901	−	0.100853i	$-0.0321573\pi$
$942$	−64.4163			−2.09880
$943$	2.39466	−	0.327127i	0.0779809	−	0.0106527i
$944$	−3.65078			−0.118823
$945$	9.91797	−	13.6509i	0.322632	−	0.444064i
$946$	13.5285	+	13.5285i	0.439849	+	0.439849i
$947$	12.2839	+	37.8061i	0.399174	+	1.22853i	0.925663	+	0.378350i	$0.123508\pi$
$947$	12.2839	+	37.8061i	0.399174	+	1.22853i	−0.526488	+	0.850182i	$0.676492\pi$
$948$	75.8040	−	24.6302i	2.46200	−	0.799952i
$949$	−59.6961	+	9.45494i	−1.93782	+	0.306920i
$950$	54.3186	+	8.60322i	1.76233	+	0.279125i
$951$	−31.1529	−	10.1222i	−1.01020	−	0.328234i
$952$		−	2.15528i		−	0.0698530i
$953$	−9.97947	+	30.7137i	−0.323267	+	0.994913i	0.648950	+	0.760831i	$0.275208\pi$
$953$	−9.97947	+	30.7137i	−0.323267	+	0.994913i	−0.972217	+	0.234082i	$0.924792\pi$
$954$	−0.239823	+	0.122196i	−0.00776457	+	0.00395625i
$955$	37.1419	−	72.8950i	1.20188	−	2.35883i
$956$	6.03620	+	38.1110i	0.195225	+	1.23260i
$957$	15.9889	−	15.9889i	0.516848	−	0.516848i
$958$	56.9896	+	29.0376i	1.84125	+	0.938164i
$959$	6.33302	−	4.60121i	0.204504	−	0.148581i
$960$	32.4722	+	63.7303i	1.04804	+	2.05689i
$961$	−34.0561	−	24.7432i	−1.09858	−	0.798167i
$962$	3.74209	−	23.6267i	0.120650	−	0.761754i
$963$	−0.0319548	−	0.0439821i	−0.00102973	−	0.00141730i
$964$	9.67747	+	13.3199i	0.311690	+	0.429005i
$965$	12.5966	−	79.5318i	0.405499	−	2.56022i
$966$	1.16374	+	0.845503i	0.0374426	+	0.0272036i
$967$	−5.15996	−	10.1270i	−0.165933	−	0.325662i	0.793035	−	0.609176i	$-0.208500\pi$
$967$	−5.15996	−	10.1270i	−0.165933	−	0.325662i	−0.958968	+	0.283514i	$0.908500\pi$
$968$	8.53215	−	6.19897i	0.274234	−	0.199242i
$969$	−8.47713	−	4.31931i	−0.272325	−	0.138756i
$970$	−4.17199	+	4.17199i	−0.133955	+	0.133955i
$971$	0.686268	+	4.33293i	0.0220234	+	0.139050i	0.996250	−	0.0865213i	$-0.0275751\pi$
$971$	0.686268	+	4.33293i	0.0220234	+	0.139050i	−0.974227	+	0.225572i	$0.927575\pi$
$972$	−0.330287	+	0.648226i	−0.0105940	+	0.0207918i
$973$	−9.88484	+	5.03658i	−0.316893	+	0.161465i
$974$	4.09889	−	12.6151i	0.131337	−	0.404213i
$975$		−	40.6572i		−	1.30207i
$976$	−5.64868	−	1.83537i	−0.180810	−	0.0587487i
$977$	14.0375	+	2.22332i	0.449099	+	0.0711303i	0.376888	−	0.926259i	$-0.376994\pi$
$977$	14.0375	+	2.22332i	0.449099	+	0.0711303i	0.0722116	+	0.997389i	$0.476994\pi$
$978$	27.8435	−	4.40997i	0.890336	−	0.141015i
$979$	23.5341	−	7.64669i	0.752153	−	0.244389i
$980$	−2.82264	−	8.68719i	−0.0901659	−	0.277502i
$981$	−0.220197	−	0.220197i	−0.00703034	−	0.00703034i
$982$	14.9156	−	20.5296i	0.475976	−	0.655125i
$983$	−28.6536			−0.913909			−0.456954	−	0.889490i	$-0.651060\pi$
$983$	−28.6536			−0.913909			−0.456954	+	0.889490i	$0.651060\pi$
$984$	18.4571	+	6.43509i	0.588391	+	0.205143i
$985$	9.40006			0.299511
$986$	−9.20311	+	12.6670i	−0.293087	+	0.403399i
$987$	15.5102	+	15.5102i	0.493695	+	0.493695i
$988$	15.9978	+	49.2363i	0.508959	+	1.56642i
$989$	1.40302	−	0.455868i	0.0446134	−	0.0144958i
$990$	−0.394071	+	0.0624147i	−0.0125244	+	0.00198367i
$991$	39.5069	+	6.25728i	1.25498	+	0.198769i	0.748297	−	0.663364i	$-0.230872\pi$
$991$	39.5069	+	6.25728i	1.25498	+	0.198769i	0.506682	+	0.862133i	$0.330872\pi$
$992$	59.8334	+	19.4411i	1.89971	+	0.617254i
$993$		−	32.9400i		−	1.04532i
$994$	1.76028	−	5.41760i	0.0558328	−	0.171836i
$995$	−56.7568	+	28.9190i	−1.79931	+	0.916795i
$996$	26.1900	−	51.4007i	0.829861	−	1.62869i
$997$	0.807619	+	5.09910i	0.0255775	+	0.161490i	0.997171	−	0.0751657i	$-0.0239486\pi$
$997$	0.807619	+	5.09910i	0.0255775	+	0.161490i	−0.971594	+	0.236656i	$0.923949\pi$
$998$	−61.4737	+	61.4737i	−1.94592	+	1.94592i
$999$	12.1313	+	6.18122i	0.383818	+	0.195565i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.17	✓	160
41.36	even	20	inner	287.2.u.a.36.17	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.17	✓	160	1.1	even	1	trivial
287.2.u.a.36.17	yes	160	41.36	even	20	inner

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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.28791 - 1.77266i) q^{2} +(-1.22984 - 1.22984i) q^{3} +(-0.865568 - 2.66394i) q^{4} +(3.10142 - 1.00771i) q^{5} +(-3.76400 + 0.596159i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-1.66927 - 0.542379i) q^{8} +0.0249934i q^{9} +O(q^{10})\)	\(q+(1.28791 - 1.77266i) q^{2} +(-1.22984 - 1.22984i) q^{3} +(-0.865568 - 2.66394i) q^{4} +(3.10142 - 1.00771i) q^{5} +(-3.76400 + 0.596159i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-1.66927 - 0.542379i) q^{8} +0.0249934i q^{9} +(2.20802 - 6.79560i) q^{10} +(-1.99062 + 1.01427i) q^{11} +(-2.21171 + 4.34072i) q^{12} +(0.649038 + 4.09786i) q^{13} +(-1.54936 + 1.54936i) q^{14} +(-5.05356 - 2.57492i) q^{15} +(1.42085 - 1.03231i) q^{16} +(-0.557481 - 1.09412i) q^{17} +(0.0443048 + 0.0321893i) q^{18} +(-0.696875 + 4.39990i) q^{19} +(-5.36898 - 7.38976i) q^{20} +(1.02231 + 1.40708i) q^{21} +(-0.765785 + 4.83498i) q^{22} +(0.305369 + 0.221863i) q^{23} +(1.38589 + 2.71997i) q^{24} +(4.55823 - 3.31174i) q^{25} +(8.10002 + 4.12717i) q^{26} +(-3.65877 + 3.65877i) q^{27} +(0.438179 + 2.76655i) q^{28} +(2.64187 - 5.18497i) q^{29} +(-11.0730 + 5.64197i) q^{30} +(-2.64197 + 8.13115i) q^{31} -7.35855i q^{32} +(3.69552 + 1.20075i) q^{33} +(-2.65748 - 0.420904i) q^{34} +(-3.22088 + 0.510137i) q^{35} +(0.0665811 - 0.0216335i) q^{36} +(-0.813129 - 2.50255i) q^{37} +(6.90200 + 6.90200i) q^{38} +(4.24149 - 5.83791i) q^{39} -5.72367 q^{40} +(4.62316 - 4.43017i) q^{41} +3.81092 q^{42} +(2.29725 - 3.16190i) q^{43} +(4.42497 + 4.42497i) q^{44} +(0.0251862 + 0.0775151i) q^{45} +(0.786576 - 0.255574i) q^{46} +(12.4563 - 1.97289i) q^{47} +(-3.01698 - 0.477842i) q^{48} +(0.951057 + 0.309017i) q^{49} -12.3454i q^{50} +(-0.659975 + 2.03120i) q^{51} +(10.3547 - 5.27598i) q^{52} +(-2.23133 + 4.37923i) q^{53} +(1.77358 + 11.1979i) q^{54} +(-5.15164 + 5.15164i) q^{55} +(1.56387 + 0.796833i) q^{56} +(6.26820 - 4.55411i) q^{57} +(-5.78868 - 11.3609i) q^{58} +(-1.68172 - 1.22184i) q^{59} +(-2.48524 + 15.6912i) q^{60} +(-1.98779 - 2.73595i) q^{61} +(11.0111 + 15.1555i) q^{62} +(0.00390983 - 0.0246857i) q^{63} +(-10.2025 - 7.41255i) q^{64} +(6.14240 + 12.0551i) q^{65} +(6.88802 - 5.00444i) q^{66} +(8.45189 + 4.30645i) q^{67} +(-2.43213 + 2.43213i) q^{68} +(-0.102698 - 0.648409i) q^{69} +(-3.24391 + 6.36652i) q^{70} +(-2.31640 + 1.18027i) q^{71} +(0.0135559 - 0.0417208i) q^{72} +14.5676i q^{73} +(-5.48341 - 1.78167i) q^{74} +(-9.67877 - 1.53297i) q^{75} +(12.3243 - 1.95197i) q^{76} +(2.12478 - 0.690382i) q^{77} +(-4.88596 - 15.0374i) q^{78} +(-11.5688 - 11.5688i) q^{79} +(3.36637 - 4.63342i) q^{80} +9.07436 q^{81} +(-1.89896 - 13.9010i) q^{82} -11.8415 q^{83} +(2.86352 - 3.94129i) q^{84} +(-2.83154 - 2.83154i) q^{85} +(-2.64631 - 8.14449i) q^{86} +(-9.62573 + 3.12759i) q^{87} +(3.87300 - 0.613422i) q^{88} +(-10.9397 - 1.73267i) q^{89} +(0.169845 + 0.0551861i) q^{90} -4.14894i q^{91} +(0.326714 - 1.00552i) q^{92} +(13.2492 - 6.75079i) q^{93} +(12.5454 - 24.6217i) q^{94} +(2.27253 + 14.3482i) q^{95} +(-9.04981 + 9.04981i) q^{96} +(-0.735729 - 0.374873i) q^{97} +(1.77266 - 1.28791i) q^{98} +(-0.0253501 - 0.0497523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

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