LMFDB - Embedded newform 462.2.w.a.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	462.29
Dual form			462.2.w.a.239.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(-0.520106 - 1.65212i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.54008 - 2.11973i) q^{5} +(-0.550316 + 1.64230i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.45898 + 1.71855i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.520106 - 1.65212i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.54008 - 2.11973i) q^{5} +(-0.550316 + 1.64230i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.45898 + 1.71855i) q^{9} +2.62013i q^{10} +(0.567824 - 3.26766i) q^{11} +(1.41054 - 1.00518i) q^{12} +(-0.538590 + 0.741305i) q^{13} +(0.951057 + 0.309017i) q^{14} +(-2.70105 + 3.64687i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-3.44431 + 2.50244i) q^{17} +(2.99950 + 0.0550161i) q^{18} +(-1.49341 - 0.485240i) q^{19} +(1.54008 - 2.11973i) q^{20} +(1.00518 + 1.41054i) q^{21} +(-2.38006 + 2.30983i) q^{22} +2.00120i q^{23} +(-1.73198 - 0.0158825i) q^{24} +(-0.576349 + 1.77382i) q^{25} +(0.871457 - 0.283154i) q^{26} +(4.11818 + 3.16870i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(2.38864 + 7.35147i) q^{29} +(4.32877 - 1.36275i) q^{30} +(-1.41610 - 1.02886i) q^{31} +1.00000 q^{32} +(-5.69388 + 0.761414i) q^{33} +4.25740 q^{34} +(2.11973 + 1.54008i) q^{35} +(-2.39431 - 1.80757i) q^{36} +(-2.04896 - 6.30605i) q^{37} +(0.922980 + 1.27037i) q^{38} +(1.50485 + 0.504257i) q^{39} +(-2.49190 + 0.809666i) q^{40} +(1.42723 - 4.39257i) q^{41} +(0.0158825 - 1.73198i) q^{42} +11.8699i q^{43} +(3.28319 - 0.469729i) q^{44} +(7.42989 + 2.56568i) q^{45} +(1.17627 - 1.61900i) q^{46} +(-5.43953 - 1.76741i) q^{47} +(1.39186 + 1.03088i) q^{48} +(0.809017 - 0.587785i) q^{49} +(1.50890 - 1.09628i) q^{50} +(5.92573 + 4.38887i) q^{51} +(-0.871457 - 0.283154i) q^{52} +(-6.38961 + 8.79454i) q^{53} +(-1.46916 - 4.98413i) q^{54} +(-7.80105 + 3.82880i) q^{55} +1.00000i q^{56} +(-0.0249397 + 2.71967i) q^{57} +(2.38864 - 7.35147i) q^{58} +(0.219835 - 0.0714286i) q^{59} +(-4.30305 - 1.44190i) q^{60} +(-7.88564 - 10.8537i) q^{61} +(0.540903 + 1.66473i) q^{62} +(1.80757 - 2.39431i) q^{63} +(-0.809017 - 0.587785i) q^{64} +2.40084 q^{65} +(5.05399 + 2.73078i) q^{66} +5.86420 q^{67} +(-3.44431 - 2.50244i) q^{68} +(3.30621 - 1.04083i) q^{69} +(-0.809666 - 2.49190i) q^{70} +(-4.47311 - 6.15671i) q^{71} +(0.874572 + 2.86969i) q^{72} +(-13.6086 + 4.42169i) q^{73} +(-2.04896 + 6.30605i) q^{74} +(3.23032 + 0.0296225i) q^{75} -1.57027i q^{76} +(0.469729 + 3.28319i) q^{77} +(-0.921052 - 1.29248i) q^{78} +(-1.66335 + 2.28940i) q^{79} +(2.49190 + 0.809666i) q^{80} +(3.09317 - 8.45176i) q^{81} +(-3.73654 + 2.71476i) q^{82} +(11.4756 - 8.33754i) q^{83} +(-1.03088 + 1.39186i) q^{84} +(10.6090 + 3.44708i) q^{85} +(6.97698 - 9.60299i) q^{86} +(10.9032 - 7.76985i) q^{87} +(-2.93226 - 1.54979i) q^{88} -8.91639i q^{89} +(-4.50283 - 6.44286i) q^{90} +(0.283154 - 0.871457i) q^{91} +(-1.90325 + 0.618404i) q^{92} +(-0.963272 + 2.87468i) q^{93} +(3.36182 + 4.62714i) q^{94} +(1.27139 + 3.91295i) q^{95} +(-0.520106 - 1.65212i) q^{96} +(-13.7768 - 10.0095i) q^{97} -1.00000 q^{98} +(4.21936 + 9.01094i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{7}{10}\right)$

Coefficient data

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

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

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

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	−0.520106	−	1.65212i	−0.300283	−	0.953850i
$3$	−0.520106	−	1.65212i	−0.300283	−	0.953850i
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−1.54008	−	2.11973i	−0.688743	−	0.947974i	0.311254	−	0.950327i	$-0.399251\pi$
$5$	−1.54008	−	2.11973i	−0.688743	−	0.947974i	−0.999997	+	0.00235312i	$0.999251\pi$
$6$	−0.550316	+	1.64230i	−0.224665	+	0.670467i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$7$	−0.951057	+	0.309017i	−0.359466	+	0.116797i
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−2.45898	+	1.71855i	−0.819660	+	0.572850i
$10$			2.62013i			0.828559i
$11$	0.567824	−	3.26766i	0.171205	−	0.985235i
$11$	0.567824	−	3.26766i	0.171205	−	0.985235i
$12$	1.41054	−	1.00518i	0.407186	−	0.290171i
$13$	−0.538590	+	0.741305i	−0.149378	+	0.205601i	−0.877148	−	0.480220i	$-0.840557\pi$
$13$	−0.538590	+	0.741305i	−0.149378	+	0.205601i	0.727770	+	0.685821i	$0.240557\pi$
$14$	0.951057	+	0.309017i	0.254181	+	0.0825883i
$15$	−2.70105	+	3.64687i	−0.697407	+	0.941618i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−3.44431	+	2.50244i	−0.835368	+	0.606931i	−0.921073	−	0.389390i	$-0.872686\pi$
$17$	−3.44431	+	2.50244i	−0.835368	+	0.606931i	0.0857046	+	0.996321i	$0.472686\pi$
$18$	2.99950	+	0.0550161i	0.706988	+	0.0129674i
$19$	−1.49341	−	0.485240i	−0.342613	−	0.111322i	0.132656	−	0.991162i	$-0.457649\pi$
$19$	−1.49341	−	0.485240i	−0.342613	−	0.111322i	−0.475269	+	0.879840i	$0.657649\pi$
$20$	1.54008	−	2.11973i	0.344372	−	0.473987i
$21$	1.00518	+	1.41054i	0.219349	+	0.307804i
$22$	−2.38006	+	2.30983i	−0.507430	+	0.492458i
$23$			2.00120i			0.417278i	0.977993	+	0.208639i	$0.0669034\pi$
$23$			2.00120i			0.417278i	−0.977993	+	0.208639i	$0.933097\pi$
$24$	−1.73198	−	0.0158825i	−0.353539	−	0.00324199i
$25$	−0.576349	+	1.77382i	−0.115270	+	0.354764i
$26$	0.871457	−	0.283154i	0.170907	−	0.0555310i
$27$	4.11818	+	3.16870i	0.792543	+	0.609816i
$28$	−0.587785	−	0.809017i	−0.111081	−	0.152890i
$29$	2.38864	+	7.35147i	0.443559	+	1.36513i	0.884056	+	0.467380i	$0.154802\pi$
$29$	2.38864	+	7.35147i	0.443559	+	1.36513i	−0.440497	+	0.897754i	$0.645198\pi$
$30$	4.32877	−	1.36275i	0.790321	−	0.248802i
$31$	−1.41610	−	1.02886i	−0.254340	−	0.184788i	0.453308	−	0.891354i	$-0.350244\pi$
$31$	−1.41610	−	1.02886i	−0.254340	−	0.184788i	−0.707648	+	0.706565i	$0.750244\pi$
$32$	1.00000			0.176777
$33$	−5.69388	+	0.761414i	−0.991177	+	0.132545i
$34$	4.25740			0.730139
$35$	2.11973	+	1.54008i	0.358300	+	0.260320i
$36$	−2.39431	−	1.80757i	−0.399051	−	0.301261i
$37$	−2.04896	−	6.30605i	−0.336847	−	1.03671i	−0.965805	−	0.259269i	$-0.916518\pi$
$37$	−2.04896	−	6.30605i	−0.336847	−	1.03671i	0.628958	−	0.777439i	$-0.283482\pi$
$38$	0.922980	+	1.27037i	0.149727	+	0.206082i
$39$	1.50485	+	0.504257i	0.240968	+	0.0807457i
$40$	−2.49190	+	0.809666i	−0.394003	+	0.128019i
$41$	1.42723	−	4.39257i	0.222896	−	0.686004i	−0.775602	−	0.631222i	$-0.782554\pi$
$41$	1.42723	−	4.39257i	0.222896	−	0.686004i	0.998498	−	0.0547820i	$-0.0174464\pi$
$42$	0.0158825	−	1.73198i	0.00245072	−	0.267250i
$43$			11.8699i			1.81015i	0.425252	+	0.905075i	$0.360185\pi$
$43$			11.8699i			1.81015i	−0.425252	+	0.905075i	$0.639815\pi$
$44$	3.28319	−	0.469729i	0.494960	−	0.0708143i
$45$	7.42989	+	2.56568i	1.10758	+	0.382470i
$46$	1.17627	−	1.61900i	0.173432	−	0.238709i
$47$	−5.43953	−	1.76741i	−0.793438	−	0.257804i	−0.115870	−	0.993264i	$-0.536966\pi$
$47$	−5.43953	−	1.76741i	−0.793438	−	0.257804i	−0.677567	+	0.735461i	$0.736966\pi$
$48$	1.39186	+	1.03088i	0.200898	+	0.148795i
$49$	0.809017	−	0.587785i	0.115574	−	0.0839693i
$50$	1.50890	−	1.09628i	0.213391	−	0.155038i
$51$	5.92573	+	4.38887i	0.829768	+	0.614565i
$52$	−0.871457	−	0.283154i	−0.120849	−	0.0392663i
$53$	−6.38961	+	8.79454i	−0.877680	+	1.20802i	0.0993783	+	0.995050i	$0.468315\pi$
$53$	−6.38961	+	8.79454i	−0.877680	+	1.20802i	−0.977058	+	0.212973i	$0.931685\pi$
$54$	−1.46916	−	4.98413i	−0.199927	−	0.678254i
$55$	−7.80105	+	3.82880i	−1.05189	+	0.516276i
$56$			1.00000i			0.133631i
$57$	−0.0249397	+	2.71967i	−0.00330335	+	0.360229i
$58$	2.38864	−	7.35147i	0.313644	−	0.965296i
$59$	0.219835	−	0.0714286i	0.0286200	−	0.00929922i	−0.294672	−	0.955598i	$-0.595210\pi$
$59$	0.219835	−	0.0714286i	0.0286200	−	0.00929922i	0.323292	+	0.946299i	$0.395210\pi$
$60$	−4.30305	−	1.44190i	−0.555521	−	0.186149i
$61$	−7.88564	−	10.8537i	−1.00965	−	1.38967i	−0.919211	−	0.393766i	$-0.871172\pi$
$61$	−7.88564	−	10.8537i	−1.00965	−	1.38967i	−0.0904424	−	0.995902i	$-0.528828\pi$
$62$	0.540903	+	1.66473i	0.0686948	+	0.211421i
$63$	1.80757	−	2.39431i	0.227732	−	0.301654i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	2.40084			0.297788
$66$	5.05399	+	2.73078i	0.622103	+	0.336136i
$67$	5.86420			0.716426			0.358213	−	0.933640i	$-0.383386\pi$
$67$	5.86420			0.716426			0.358213	+	0.933640i	$0.383386\pi$
$68$	−3.44431	−	2.50244i	−0.417684	−	0.303465i
$69$	3.30621	−	1.04083i	0.398021	−	0.125302i
$70$	−0.809666	−	2.49190i	−0.0967736	−	0.297839i
$71$	−4.47311	−	6.15671i	−0.530861	−	0.730667i	0.456400	−	0.889775i	$-0.349138\pi$
$71$	−4.47311	−	6.15671i	−0.530861	−	0.730667i	−0.987261	+	0.159107i	$0.949138\pi$
$72$	0.874572	+	2.86969i	0.103069	+	0.338196i
$73$	−13.6086	+	4.42169i	−1.59276	+	0.517520i	−0.965304	−	0.261129i	$-0.915905\pi$
$73$	−13.6086	+	4.42169i	−1.59276	+	0.517520i	−0.627460	+	0.778649i	$0.715905\pi$
$74$	−2.04896	+	6.30605i	−0.238187	+	0.733063i
$75$	3.23032	+	0.0296225i	0.373005	+	0.00342051i
$76$		−	1.57027i		−	0.180122i
$77$	0.469729	+	3.28319i	0.0535305	+	0.374155i
$78$	−0.921052	−	1.29248i	−0.104289	−	0.146344i
$79$	−1.66335	+	2.28940i	−0.187141	+	0.257578i	−0.892271	−	0.451501i	$-0.850889\pi$
$79$	−1.66335	+	2.28940i	−0.187141	+	0.257578i	0.705129	+	0.709079i	$0.250889\pi$
$80$	2.49190	+	0.809666i	0.278602	+	0.0905234i
$81$	3.09317	−	8.45176i	0.343686	−	0.939085i
$82$	−3.73654	+	2.71476i	−0.412632	+	0.299795i
$83$	11.4756	−	8.33754i	1.25961	−	0.915164i	0.260876	−	0.965372i	$-0.415989\pi$
$83$	11.4756	−	8.33754i	1.25961	−	0.915164i	0.998739	+	0.0502085i	$0.0159886\pi$
$84$	−1.03088	+	1.39186i	−0.112478	+	0.151865i
$85$	10.6090	+	3.44708i	1.15071	+	0.373888i
$86$	6.97698	−	9.60299i	0.752347	−	1.03552i
$87$	10.9032	−	7.76985i	1.16894	−	0.833016i
$88$	−2.93226	−	1.54979i	−0.312580	−	0.165209i
$89$		−	8.91639i		−	0.945136i	−0.881294	−	0.472568i	$-0.843327\pi$
$89$		−	8.91639i		−	0.945136i	0.881294	−	0.472568i	$-0.156673\pi$
$90$	−4.50283	−	6.44286i	−0.474640	−	0.679137i
$91$	0.283154	−	0.871457i	0.0296826	−	0.0913535i
$92$	−1.90325	+	0.618404i	−0.198428	+	0.0644731i
$93$	−0.963272	+	2.87468i	−0.0998867	+	0.298091i
$94$	3.36182	+	4.62714i	0.346745	+	0.477254i
$95$	1.27139	+	3.91295i	0.130442	+	0.401460i
$96$	−0.520106	−	1.65212i	−0.0530830	−	0.168618i
$97$	−13.7768	−	10.0095i	−1.39883	−	1.01631i	−0.994831	−	0.101545i	$-0.967621\pi$
$97$	−13.7768	−	10.0095i	−1.39883	−	1.01631i	−0.403995	−	0.914761i	$-0.632379\pi$
$98$	−1.00000			−0.101015
$99$	4.21936	+	9.01094i	0.424062	+	0.905633i
$100$	−1.86511			−0.186511
$101$	−3.86048	−	2.80480i	−0.384132	−	0.279088i	0.378915	−	0.925432i	$-0.376297\pi$
$101$	−3.86048	−	2.80480i	−0.384132	−	0.279088i	−0.763047	+	0.646344i	$0.776297\pi$
$102$	−2.21430	−	7.03373i	−0.219248	−	0.696443i
$103$	−1.58362	−	4.87388i	−0.156039	−	0.480237i	0.842226	−	0.539124i	$-0.181245\pi$
$103$	−1.58362	−	4.87388i	−0.156039	−	0.480237i	−0.998265	+	0.0588872i	$0.981245\pi$
$104$	0.538590	+	0.741305i	0.0528131	+	0.0726910i
$105$	1.44190	−	4.30305i	0.140715	−	0.419935i
$106$	10.3386	−	3.35921i	1.00417	−	0.326276i
$107$	0.102228	−	0.314626i	0.00988278	−	0.0304161i	−0.945994	−	0.324186i	$-0.894910\pi$
$107$	0.102228	−	0.314626i	0.00988278	−	0.0304161i	0.955876	+	0.293769i	$0.0949098\pi$
$108$	−1.74102	+	4.89580i	−0.167530	+	0.471098i
$109$		−	13.0104i		−	1.24617i	−0.782155	−	0.623084i	$-0.785880\pi$
$109$		−	13.0104i		−	1.24617i	0.782155	−	0.623084i	$-0.214120\pi$
$110$	8.56170	+	1.48778i	0.816326	+	0.141854i
$111$	−9.35265	+	6.66493i	−0.887715	+	0.632607i
$112$	0.587785	−	0.809017i	0.0555405	−	0.0764449i
$113$	−9.76666	−	3.17338i	−0.918771	−	0.298527i	−0.188808	−	0.982014i	$-0.560462\pi$
$113$	−9.76666	−	3.17338i	−0.918771	−	0.298527i	−0.729962	+	0.683487i	$0.760462\pi$
$114$	1.61876	−	2.18560i	0.151611	−	0.204700i
$115$	4.24200	−	3.08200i	0.395569	−	0.287398i
$116$	−6.25354	+	4.54346i	−0.580626	+	0.421850i
$117$	0.0504115	−	2.74845i	0.00466055	−	0.254094i
$118$	−0.219835	−	0.0714286i	−0.0202374	−	0.00657554i
$119$	2.50244	−	3.44431i	0.229398	−	0.315740i
$120$	2.63371	+	3.69579i	0.240424	+	0.337378i
$121$	−10.3552	−	3.71091i	−0.941377	−	0.337355i
$122$			13.4159i			1.21461i
$123$	−7.99935	−	0.0733551i	−0.721277	−	0.00661420i
$124$	0.540903	−	1.66473i	0.0485745	−	0.149497i
$125$	−7.81183	+	2.53822i	−0.698711	+	0.227025i
$126$	−2.86969	+	0.874572i	−0.255652	+	0.0779130i
$127$	−2.42944	−	3.34384i	−0.215578	−	0.296718i	0.687508	−	0.726176i	$-0.258704\pi$
$127$	−2.42944	−	3.34384i	−0.215578	−	0.296718i	−0.903087	+	0.429458i	$0.858704\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	19.6105	−	6.17362i	1.72661	−	0.543557i
$130$	−1.94232	−	1.41118i	−0.170353	−	0.123769i
$131$	17.1298			1.49664			0.748318	−	0.663340i	$-0.230862\pi$
$131$	17.1298			1.49664			0.748318	+	0.663340i	$0.230862\pi$
$132$	−2.48365	−	5.17991i	−0.216174	−	0.450853i
$133$	1.57027			0.136160
$134$	−4.74424	−	3.44689i	−0.409840	−	0.297766i
$135$	0.374486	−	13.6095i	0.0322306	−	1.17132i
$136$	1.31561	+	4.04903i	0.112813	+	0.347202i
$137$	−9.00623	−	12.3960i	−0.769454	−	1.05906i	−0.996368	−	0.0851478i	$-0.972864\pi$
$137$	−9.00623	−	12.3960i	−0.769454	−	1.05906i	0.226914	−	0.973915i	$-0.427136\pi$
$138$	−3.28657	−	1.10129i	−0.279771	−	0.0937481i
$139$	7.74206	−	2.51555i	0.656673	−	0.213366i	0.0383188	−	0.999266i	$-0.487800\pi$
$139$	7.74206	−	2.51555i	0.656673	−	0.213366i	0.618354	+	0.785900i	$0.287800\pi$
$140$	−0.809666	+	2.49190i	−0.0684293	+	0.210604i
$141$	−0.0908392	+	9.90599i	−0.00765004	+	0.834235i
$142$			7.61012i			0.638627i
$143$	2.11651	+	2.18086i	0.176991	+	0.182372i
$144$	0.979219	−	2.83569i	0.0816015	−	0.236307i
$145$	11.9045	−	16.3851i	0.988613	−	1.36071i
$146$	13.6086	+	4.42169i	1.12625	+	0.365942i
$147$	−1.39186	−	1.03088i	−0.114799	−	0.0850256i
$148$	5.36424	−	3.89735i	0.440938	−	0.320360i
$149$	−4.64528	+	3.37499i	−0.380556	+	0.276490i	−0.761575	−	0.648077i	$-0.775573\pi$
$149$	−4.64528	+	3.37499i	−0.380556	+	0.276490i	0.381019	+	0.924567i	$0.375573\pi$
$150$	−2.59597	−	1.92270i	−0.211960	−	0.156988i
$151$	15.0143	+	4.87845i	1.22185	+	0.397003i	0.847755	−	0.530388i	$-0.177954\pi$
$151$	15.0143	+	4.87845i	1.22185	+	0.397003i	0.374094	+	0.927391i	$0.377954\pi$
$152$	−0.922980	+	1.27037i	−0.0748636	+	0.103041i
$153$	4.16893	−	12.0727i	0.337038	−	0.976018i
$154$	1.54979	−	2.93226i	0.124886	−	0.236288i
$155$			4.58628i			0.368379i
$156$	−0.0145532	+	1.58702i	−0.00116519	+	0.127063i
$157$	−6.37547	+	19.6217i	−0.508818	+	1.56598i	0.285439	+	0.958397i	$0.407861\pi$
$157$	−6.37547	+	19.6217i	−0.508818	+	1.56598i	−0.794256	+	0.607583i	$0.792139\pi$
$158$	2.69135	−	0.874474i	0.214113	−	0.0695694i
$159$	17.8529	+	5.98229i	1.41582	+	0.474426i
$160$	−1.54008	−	2.11973i	−0.121754	−	0.167580i
$161$	−0.618404	−	1.90325i	−0.0487371	−	0.149997i
$162$	−7.47025	+	5.01950i	−0.586918	+	0.394369i
$163$	−8.98326	−	6.52672i	−0.703623	−	0.511212i	0.177487	−	0.984123i	$-0.443203\pi$
$163$	−8.98326	−	6.52672i	−0.703623	−	0.511212i	−0.881110	+	0.472911i	$0.843203\pi$
$164$	4.61862			0.360654
$165$	10.3830	+	10.8969i	0.808316	+	0.848320i
$166$	−14.1847			−1.10094
$167$	0.223384	+	0.162298i	0.0172860	+	0.0125590i	0.596395	−	0.802691i	$-0.296599\pi$
$167$	0.223384	+	0.162298i	0.0172860	+	0.0125590i	−0.579109	+	0.815250i	$0.696599\pi$
$168$	1.65212	−	0.520106i	0.127464	−	0.0401270i
$169$	3.75777	+	11.5652i	0.289059	+	0.889632i
$170$	−6.55673	−	9.02456i	−0.502878	−	0.692152i
$171$	4.50618	−	1.37331i	0.344596	−	0.105020i
$172$	−11.2890	+	3.66802i	−0.860777	+	0.279684i
$173$	−0.543756	+	1.67351i	−0.0413410	+	0.127234i	−0.969597	−	0.244708i	$-0.921308\pi$
$173$	−0.543756	+	1.67351i	−0.0413410	+	0.127234i	0.928256	+	0.371942i	$0.121308\pi$
$174$	−13.3878	−	0.122768i	−1.01493	−	0.00930703i
$175$		−	1.86511i		−	0.140989i
$176$	1.46130	+	2.97735i	0.110150	+	0.224426i
$177$	−0.232346	−	0.326042i	−0.0174642	−	0.0245068i
$178$	−5.24092	+	7.21351i	−0.392824	+	0.540676i
$179$	−11.9449	−	3.88113i	−0.892803	−	0.290089i	−0.173540	−	0.984827i	$-0.555521\pi$
$179$	−11.9449	−	3.88113i	−0.892803	−	0.290089i	−0.719263	+	0.694737i	$0.755521\pi$
$180$	−0.144150	+	7.85908i	−0.0107443	+	0.585781i
$181$	3.77538	−	2.74297i	0.280621	−	0.203883i	−0.438567	−	0.898699i	$-0.644514\pi$
$181$	3.77538	−	2.74297i	0.280621	−	0.203883i	0.719188	+	0.694815i	$0.244514\pi$
$182$	−0.741305	+	0.538590i	−0.0549492	+	0.0399229i
$183$	−13.8301	+	18.6730i	−1.02235	+	1.38035i
$184$	1.90325	+	0.618404i	0.140310	+	0.0455893i
$185$	−10.2116	+	14.0550i	−0.750771	+	1.03335i
$186$	2.46900	−	1.75947i	0.181036	−	0.129011i
$187$	6.22135	+	12.6758i	0.454950	+	0.926944i
$188$		−	5.71947i		−	0.417135i
$189$	−4.89580	−	1.74102i	−0.356117	−	0.126641i
$190$	1.27139	−	3.91295i	0.0922365	−	0.283875i
$191$	7.65015	−	2.48568i	0.553545	−	0.179858i	−0.0188696	−	0.999822i	$-0.506007\pi$
$191$	7.65015	−	2.48568i	0.553545	−	0.179858i	0.572415	+	0.819964i	$0.306007\pi$
$192$	−0.550316	+	1.64230i	−0.0397156	+	0.118523i
$193$	9.89609	+	13.6208i	0.712336	+	0.980446i	0.999744	+	0.0226379i	$0.00720648\pi$
$193$	9.89609	+	13.6208i	0.712336	+	0.980446i	−0.287408	+	0.957808i	$0.592794\pi$
$194$	5.26228	+	16.1956i	0.377810	+	1.16278i
$195$	−1.24869	−	3.96647i	−0.0894205	−	0.284045i
$196$	0.809017	+	0.587785i	0.0577869	+	0.0419847i
$197$	−3.14379			−0.223986			−0.111993	−	0.993709i	$-0.535723\pi$
$197$	−3.14379			−0.223986			−0.111993	+	0.993709i	$0.535723\pi$
$198$	1.88296	−	9.77008i	0.133816	−	0.694329i
$199$	6.14540			0.435636			0.217818	−	0.975989i	$-0.430106\pi$
$199$	6.14540			0.435636			0.217818	+	0.975989i	$0.430106\pi$
$200$	1.50890	+	1.09628i	0.106695	+	0.0775188i
$201$	−3.05000	−	9.68834i	−0.215131	−	0.683363i
$202$	1.47457	+	4.53826i	0.103750	+	0.319311i
$203$	−4.54346	−	6.25354i	−0.318888	−	0.438912i
$204$	−2.34292	+	6.99194i	−0.164037	+	0.489534i
$205$	−11.5091	+	3.73954i	−0.803832	+	0.261181i
$206$	−1.58362	+	4.87388i	−0.110336	+	0.339579i
$207$	−3.43916	−	4.92090i	−0.239038	−	0.342027i
$208$		−	0.916304i		−	0.0635342i
$209$	−2.43359	+	4.60443i	−0.168335	+	0.318495i
$210$	−3.69579	+	2.63371i	−0.255034	+	0.181743i
$211$	1.13878	−	1.56739i	0.0783965	−	0.107904i	−0.768018	−	0.640429i	$-0.778757\pi$
$211$	1.13878	−	1.56739i	0.0783965	−	0.107904i	0.846414	+	0.532525i	$0.178757\pi$
$212$	−10.3386	−	3.35921i	−0.710058	−	0.230712i
$213$	−7.84512	+	10.5922i	−0.537539	+	0.725769i
$214$	−0.267637	+	0.194450i	−0.0182953	+	0.0132923i
$215$	25.1611	−	18.2806i	1.71597	−	1.24673i
$216$	4.28619	−	2.93744i	0.291639	−	0.199867i
$217$	1.66473	+	0.540903i	0.113009	+	0.0367189i
$218$	−7.64730	+	10.5256i	−0.517941	+	0.712884i
$219$	14.3831	+	20.1832i	0.971917	+	1.36386i
$220$	−6.05207	−	6.23608i	−0.408030	−	0.420436i
$221$		−	3.90108i		−	0.262415i
$222$	11.4840	+	0.105310i	0.770756	+	0.00706793i
$223$	−7.22741	+	22.2437i	−0.483983	+	1.48955i	0.349466	+	0.936949i	$0.386363\pi$
$223$	−7.22741	+	22.2437i	−0.483983	+	1.48955i	−0.833449	+	0.552597i	$0.813637\pi$
$224$	−0.951057	+	0.309017i	−0.0635451	+	0.0206471i
$225$	−1.63117	−	5.35228i	−0.108745	−	0.356818i
$226$	6.03613	+	8.30802i	0.401517	+	0.552641i
$227$	−2.55715	−	7.87011i	−0.169724	−	0.522358i	0.829629	−	0.558315i	$-0.188552\pi$
$227$	−2.55715	−	7.87011i	−0.169724	−	0.522358i	−0.999353	+	0.0359573i	$0.988552\pi$
$228$	−2.59427	+	0.816705i	−0.171809	+	0.0540876i
$229$	9.83193	+	7.14331i	0.649712	+	0.472043i	0.863173	−	0.504908i	$-0.168474\pi$
$229$	9.83193	+	7.14331i	0.649712	+	0.472043i	−0.213461	+	0.976952i	$0.568474\pi$
$230$	−5.24341			−0.345740
$231$	5.17991	−	2.48365i	0.340813	−	0.163412i
$232$	7.72980			0.507486
$233$	−7.26813	−	5.28061i	−0.476151	−	0.345944i	0.323682	−	0.946166i	$-0.395079\pi$
$233$	−7.26813	−	5.28061i	−0.476151	−	0.345944i	−0.799834	+	0.600222i	$0.795079\pi$
$234$	−1.65628	+	2.19391i	−0.108275	+	0.143420i
$235$	4.63086	+	14.2523i	0.302084	+	0.929718i
$236$	0.135865	+	0.187003i	0.00884408	+	0.0121728i
$237$	4.64748	+	1.55732i	0.301886	+	0.101159i
$238$	−4.04903	+	1.31561i	−0.262460	+	0.0852783i
$239$	−2.96566	+	9.12736i	−0.191833	+	0.590400i	0.808166	+	0.588954i	$0.200460\pi$
$239$	−2.96566	+	9.12736i	−0.191833	+	0.590400i	−0.999999	+	0.00144564i	$0.999540\pi$
$240$	0.0416142	−	4.53802i	0.00268618	−	0.292928i
$241$			1.16681i			0.0751610i	0.999294	+	0.0375805i	$0.0119651\pi$
$241$			1.16681i			0.0751610i	−0.999294	+	0.0375805i	$0.988035\pi$
$242$	6.19628	+	9.08879i	0.398312	+	0.584250i
$243$	−15.5721	−	0.714470i	−0.998949	−	0.0458333i
$244$	7.88564	−	10.8537i	0.504826	−	0.694834i
$245$	−2.49190	−	0.809666i	−0.159201	−	0.0517277i
$246$	6.42849	+	4.76125i	0.409866	+	0.303566i
$247$	1.16405	−	0.845731i	0.0740666	−	0.0538126i
$248$	−1.41610	+	1.02886i	−0.0899226	+	0.0653326i
$249$	−19.7431	−	14.6227i	−1.25117	−	0.926676i
$250$	7.81183	+	2.53822i	0.494064	+	0.160531i
$251$	−5.54672	+	7.63441i	−0.350106	+	0.481879i	−0.947359	−	0.320173i	$-0.896259\pi$
$251$	−5.54672	+	7.63441i	−0.350106	+	0.481879i	0.597253	+	0.802053i	$0.296259\pi$
$252$	2.83569	+	0.979219i	0.178632	+	0.0616850i
$253$	6.53922	+	1.13633i	0.411117	+	0.0714403i
$254$			4.13322i			0.259341i
$255$	0.177168	−	19.3202i	0.0110947	−	1.20988i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	1.68958	−	0.548979i	0.105393	−	0.0342444i	−0.255846	−	0.966718i	$-0.582354\pi$
$257$	1.68958	−	0.548979i	0.105393	−	0.0342444i	0.361239	+	0.932473i	$0.382354\pi$
$258$	−19.4940	−	6.53222i	−1.21364	−	0.406678i
$259$	3.89735	+	5.36424i	0.242170	+	0.333318i
$260$	0.741900	+	2.28333i	0.0460107	+	0.141606i
$261$	−18.5075	−	13.9721i	−1.14559	−	0.864854i
$262$	−13.8583	−	10.0686i	−0.856167	−	0.622042i
$263$	−11.1451			−0.687236			−0.343618	−	0.939109i	$-0.611653\pi$
$263$	−11.1451			−0.687236			−0.343618	+	0.939109i	$0.611653\pi$
$264$	−1.03536	+	5.65049i	−0.0637218	+	0.347764i
$265$	28.4826			1.74967
$266$	−1.27037	−	0.922980i	−0.0778916	−	0.0565916i
$267$	−14.7309	+	4.63747i	−0.901518	+	0.283808i
$268$	1.81214	+	5.57718i	0.110694	+	0.340681i
$269$	−9.51258	−	13.0929i	−0.579992	−	0.798291i	0.413702	−	0.910412i	$-0.364235\pi$
$269$	−9.51258	−	13.0929i	−0.579992	−	0.798291i	−0.993694	+	0.112122i	$0.964235\pi$
$270$	−8.30241	+	10.7902i	−0.505269	+	0.656669i
$271$	−23.3334	+	7.58148i	−1.41740	+	0.460542i	−0.914776	−	0.403961i	$-0.867633\pi$
$271$	−23.3334	+	7.58148i	−1.41740	+	0.460542i	−0.502627	+	0.864503i	$0.667633\pi$
$272$	1.31561	−	4.04903i	0.0797706	−	0.245509i
$273$	−1.58702	−	0.0145532i	−0.0960507	−	0.000880797i
$274$			15.3223i			0.925655i
$275$	5.46897	+	2.89053i	0.329791	+	0.174305i
$276$	2.01157	+	2.82276i	0.121082	+	0.169910i
$277$	7.77226	−	10.6976i	0.466990	−	0.642757i	−0.508950	−	0.860796i	$-0.669966\pi$
$277$	7.77226	−	10.6976i	0.466990	−	0.642757i	0.975940	+	0.218039i	$0.0699662\pi$
$278$	−7.74206	−	2.51555i	−0.464338	−	0.150873i
$279$	5.25031	+	0.0963002i	0.314328	+	0.00576534i
$280$	2.11973	−	1.54008i	0.126678	−	0.0920372i
$281$	15.7077	−	11.4123i	0.937043	−	0.680802i	−0.0106637	−	0.999943i	$-0.503394\pi$
$281$	15.7077	−	11.4123i	0.937043	−	0.680802i	0.947707	+	0.319141i	$0.103394\pi$
$282$	5.89608	−	7.96072i	0.351107	−	0.474054i
$283$	2.14218	+	0.696036i	0.127339	+	0.0413750i	0.371993	−	0.928235i	$-0.378674\pi$
$283$	2.14218	+	0.696036i	0.127339	+	0.0413750i	−0.244654	+	0.969610i	$0.578674\pi$
$284$	4.47311	−	6.15671i	0.265430	−	0.365334i
$285$	5.80338	−	4.13563i	0.343763	−	0.244974i
$286$	−0.430414	−	3.00840i	−0.0254509	−	0.177891i
$287$			4.61862i			0.272629i
$288$	−2.45898	+	1.71855i	−0.144897	+	0.101267i
$289$	0.347795	−	1.07040i	0.0204585	−	0.0629649i
$290$	−19.2619	+	6.25856i	−1.13109	+	0.367515i
$291$	−9.37138	+	27.9669i	−0.549360	+	1.63945i
$292$	−8.41056	−	11.5761i	−0.492191	−	0.677443i
$293$	2.53614	+	7.80544i	0.148163	+	0.455998i	0.997404	−	0.0720065i	$-0.0229402\pi$
$293$	2.53614	+	7.80544i	0.148163	+	0.455998i	−0.849241	+	0.528005i	$0.822940\pi$
$294$	0.520106	+	1.65212i	0.0303332	+	0.0963534i
$295$	−0.489972	−	0.355986i	−0.0285273	−	0.0207263i
$296$	−6.63057			−0.385394
$297$	12.6926	−	11.6575i	0.736500	−	0.676438i
$298$	5.74188			0.332618
$299$	−1.48350	−	1.07782i	−0.0857929	−	0.0623322i
$300$	0.970052	+	3.08137i	0.0560060	+	0.177903i
$301$	−3.66802	−	11.2890i	−0.211421	−	0.650687i
$302$	−9.27936	−	12.7719i	−0.533967	−	0.734943i
$303$	−2.62600	+	7.83675i	−0.150860	+	0.450209i
$304$	1.49341	−	0.485240i	0.0856532	−	0.0278304i
$305$	−10.8624	+	33.4309i	−0.621977	+	1.91425i
$306$	−10.4689	+	7.31656i	−0.598466	+	0.418260i
$307$		−	11.2413i		−	0.641576i	−0.947151	−	0.320788i	$-0.896052\pi$
$307$		−	11.2413i		−	0.641576i	0.947151	−	0.320788i	$-0.103948\pi$
$308$	−2.97735	+	1.46130i	−0.169650	+	0.0832653i
$309$	−7.22856	+	5.15125i	−0.411219	+	0.293044i
$310$	2.69575	−	3.71038i	0.153108	−	0.210735i
$311$	−3.27459	−	1.06398i	−0.185685	−	0.0603328i	0.214698	−	0.976680i	$-0.431123\pi$
$311$	−3.27459	−	1.06398i	−0.185685	−	0.0603328i	−0.400384	+	0.916348i	$0.631123\pi$
$312$	0.944600	−	1.27537i	0.0534774	−	0.0722036i
$313$	21.2415	−	15.4329i	1.20064	−	0.872317i	0.206293	−	0.978490i	$-0.433860\pi$
$313$	21.2415	−	15.4329i	1.20064	−	0.872317i	0.994348	+	0.106174i	$0.0338599\pi$
$314$	16.6912	−	12.1269i	0.941938	−	0.684358i
$315$	−7.85908	−	0.144150i	−0.442809	−	0.00812192i
$316$	−2.69135	−	0.874474i	−0.151401	−	0.0491930i
$317$	−15.2396	+	20.9755i	−0.855943	+	1.17810i	0.126579	+	0.991957i	$0.459600\pi$
$317$	−15.2396	+	20.9755i	−0.855943	+	1.17810i	−0.982522	+	0.186148i	$0.940400\pi$
$318$	−10.9270	−	15.3334i	−0.612754	−	0.859856i
$319$	25.3784	−	3.63091i	1.42092	−	0.203292i
$320$			2.62013i			0.146470i
$321$	−0.572969	−	0.00525420i	−0.0319800	−	0.000293261i
$322$	−0.618404	+	1.90325i	−0.0344623	+	0.106064i
$323$	6.35807	−	2.06586i	0.353772	−	0.114948i
$324$	8.99395	+	0.330041i	0.499664	+	0.0183356i
$325$	−1.00453	−	1.38261i	−0.0557211	−	0.0766936i
$326$	3.43130	+	10.5605i	0.190042	+	0.584890i
$327$	−21.4947	+	6.76677i	−1.18866	+	0.374203i
$328$	−3.73654	−	2.71476i	−0.206316	−	0.149897i
$329$	5.71947			0.315324
$330$	−1.99501	−	14.9187i	−0.109822	−	0.821249i
$331$	−1.23655			−0.0679668			−0.0339834	−	0.999422i	$-0.510819\pi$
$331$	−1.23655			−0.0679668			−0.0339834	+	0.999422i	$0.510819\pi$
$332$	11.4756	+	8.33754i	0.629807	+	0.457582i
$333$	15.8756	+	11.9852i	0.869978	+	0.656785i
$334$	−0.0853251	−	0.262604i	−0.00466878	−	0.0143690i
$335$	−9.03132	−	12.4305i	−0.493433	−	0.679153i
$336$	−1.64230	−	0.550316i	−0.0895949	−	0.0300222i
$337$	24.2797	−	7.88897i	1.32260	−	0.429739i	0.439214	−	0.898382i	$-0.355257\pi$
$337$	24.2797	−	7.88897i	1.32260	−	0.429739i	0.883388	+	0.468643i	$0.155257\pi$
$338$	3.75777	−	11.5652i	0.204396	−	0.629065i
$339$	−0.163101	+	17.7862i	−0.00885845	+	0.966012i
$340$			11.1550i			0.604963i
$341$	−4.16605	+	4.04313i	−0.225604	+	0.218948i
$342$	−4.45279	−	1.53764i	−0.240779	−	0.0831458i
$343$	−0.587785	+	0.809017i	−0.0317374	+	0.0436828i
$344$	11.2890	+	3.66802i	0.608662	+	0.197766i
$345$	−7.29811	−	5.40532i	−0.392917	−	0.291013i
$346$	1.42357	−	1.03429i	0.0765317	−	0.0556035i
$347$	29.1943	−	21.2109i	1.56723	−	1.13866i	0.637485	−	0.770462i	$-0.279975\pi$
$347$	29.1943	−	21.2109i	1.56723	−	1.13866i	0.929747	−	0.368199i	$-0.120025\pi$
$348$	10.7588	+	7.96850i	0.576734	+	0.427156i
$349$	14.9151	+	4.84621i	0.798387	+	0.259412i	0.679671	−	0.733517i	$-0.262122\pi$
$349$	14.9151	+	4.84621i	0.798387	+	0.259412i	0.118715	+	0.992928i	$0.462122\pi$
$350$	−1.09628	+	1.50890i	−0.0585987	+	0.0806542i
$351$	−4.56698	+	1.34620i	−0.243767	+	0.0718547i
$352$	0.567824	−	3.26766i	0.0302651	−	0.174167i
$353$		−	32.5879i		−	1.73448i	−0.497893	−	0.867239i	$-0.665893\pi$
$353$		−	32.5879i		−	1.73448i	0.497893	−	0.867239i	$-0.334107\pi$
$354$	−0.00367120	+	0.400343i	−0.000195122	+	0.0212780i
$355$	−6.16165	+	18.9636i	−0.327027	+	1.00648i
$356$	8.47999	−	2.75532i	0.449439	−	0.146032i
$357$	−6.99194	−	2.34292i	−0.370053	−	0.124000i
$358$	7.38235	+	10.1609i	0.390169	+	0.537022i
$359$	9.71329	+	29.8944i	0.512648	+	1.57777i	0.787521	+	0.616288i	$0.211364\pi$
$359$	9.71329	+	29.8944i	0.512648	+	1.57777i	−0.274873	+	0.961480i	$0.588636\pi$
$360$	4.73607	−	6.27340i	0.249613	−	0.330637i
$361$	−13.3765	−	9.71859i	−0.704026	−	0.511505i
$362$	−4.66662			−0.245272
$363$	−0.745080	+	19.0380i	−0.0391065	+	0.999235i
$364$	0.916304			0.0480274
$365$	30.3311	+	22.0368i	1.58760	+	1.15346i
$366$	22.1646	−	6.97766i	1.15856	−	0.364728i
$367$	0.789783	+	2.43070i	0.0412263	+	0.126882i	0.969551	−	0.244888i	$-0.0787512\pi$
$367$	0.789783	+	2.43070i	0.0412263	+	0.126882i	−0.928325	+	0.371770i	$0.878751\pi$
$368$	−1.17627	−	1.61900i	−0.0613175	−	0.0843963i
$369$	4.03931	+	13.2540i	0.210278	+	0.689976i
$370$	16.5227	−	5.36855i	0.858974	−	0.279098i
$371$	3.35921	−	10.3386i	0.174402	−	0.536753i
$372$	−3.03165	−	0.0278006i	−0.157184	−	0.00144140i
$373$			3.66251i			0.189638i	0.995495	+	0.0948189i	$0.0302272\pi$
$373$			3.66251i			0.189638i	−0.995495	+	0.0948189i	$0.969773\pi$
$374$	2.41746	−	13.9117i	0.125004	−	0.719359i
$375$	8.25641	+	11.5859i	0.426359	+	0.598294i
$376$	−3.36182	+	4.62714i	−0.173372	+	0.238627i
$377$	−6.73619	−	2.18872i	−0.346931	−	0.112725i
$378$	2.93744	+	4.28619i	0.151085	+	0.220458i
$379$	20.5604	−	14.9380i	1.05612	−	0.767315i	0.0827525	−	0.996570i	$-0.473629\pi$
$379$	20.5604	−	14.9380i	1.05612	−	0.767315i	0.973366	+	0.229255i	$0.0736289\pi$
$380$	−3.32855	+	2.41833i	−0.170751	+	0.124058i
$381$	−4.26085	+	5.75288i	−0.218290	+	0.294729i
$382$	−7.65015	−	2.48568i	−0.391416	−	0.127179i
$383$	14.4748	−	19.9229i	0.739630	−	1.01801i	−0.259010	−	0.965875i	$-0.583396\pi$
$383$	14.4748	−	19.9229i	0.739630	−	1.01801i	0.998640	−	0.0521386i	$-0.0166038\pi$
$384$	1.41054	−	1.00518i	0.0719811	−	0.0512955i
$385$	6.23608	−	6.05207i	0.317820	−	0.308442i
$386$		−	16.8362i		−	0.856941i
$387$	−20.3991	−	29.1880i	−1.03694	−	1.48371i
$388$	5.26228	−	16.1956i	0.267152	−	0.822209i
$389$	30.7452	−	9.98973i	1.55884	−	0.506499i	0.602346	−	0.798235i	$-0.294233\pi$
$389$	30.7452	−	9.98973i	1.55884	−	0.506499i	0.956499	+	0.291736i	$0.0942328\pi$
$390$	−1.32122	+	3.94290i	−0.0669026	+	0.199657i
$391$	−5.00787	−	6.89275i	−0.253259	−	0.348581i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	−8.90929	−	28.3004i	−0.449414	−	1.42757i
$394$	2.54338	+	1.84787i	0.128134	+	0.0930946i
$395$	7.41461			0.373069
$396$	−7.26605	+	6.79739i	−0.365133	+	0.341581i
$397$	−22.0709			−1.10770			−0.553852	−	0.832615i	$-0.686843\pi$
$397$	−22.0709			−1.10770			−0.553852	+	0.832615i	$0.686843\pi$
$398$	−4.97173	−	3.61217i	−0.249210	−	0.181062i
$399$	−0.816705	−	2.59427i	−0.0408864	−	0.129876i
$400$	−0.576349	−	1.77382i	−0.0288175	−	0.0886910i
$401$	2.19603	+	3.02257i	0.109664	+	0.150940i	0.860321	−	0.509752i	$-0.170263\pi$
$401$	2.19603	+	3.02257i	0.109664	+	0.150940i	−0.750657	+	0.660692i	$0.770263\pi$
$402$	−3.22716	+	9.63078i	−0.160956	+	0.480340i
$403$	1.52540	−	0.495632i	0.0759855	−	0.0246892i
$404$	1.47457	−	4.53826i	0.0733626	−	0.225787i
$405$	−22.6792	+	6.45967i	−1.12694	+	0.320983i
$406$			7.72980i			0.383623i
$407$	−21.7694	+	3.11457i	−1.07907	+	0.154383i
$408$	6.00522	−	4.27947i	0.297303	−	0.211865i
$409$	−5.96852	+	8.21496i	−0.295124	+	0.406203i	−0.930670	−	0.365860i	$-0.880775\pi$
$409$	−5.96852	+	8.21496i	−0.295124	+	0.406203i	0.635546	+	0.772063i	$0.280775\pi$
$410$	11.5091	+	3.73954i	0.568395	+	0.184683i
$411$	−15.7955	+	21.3266i	−0.779133	+	1.05196i
$412$	4.14597	−	3.01222i	0.204257	−	0.148401i
$413$	−0.187003	+	0.135865i	−0.00920180	+	0.00668550i
$414$	−0.110098	+	6.00258i	−0.00541103	+	0.295011i
$415$	−35.3467	−	11.4848i	−1.73510	−	0.563769i
$416$	−0.538590	+	0.741305i	−0.0264065	+	0.0363455i
$417$	−8.18267	−	11.4824i	−0.400707	−	0.562297i
$418$	4.67523	−	2.29463i	0.228673	−	0.112234i
$419$			7.37033i			0.360064i	0.983661	+	0.180032i	$0.0576202\pi$
$419$			7.37033i			0.360064i	−0.983661	+	0.180032i	$0.942380\pi$
$420$	4.53802	+	0.0416142i	0.221432	+	0.00203056i
$421$	6.16436	−	18.9720i	0.300433	−	0.924637i	−0.680910	−	0.732367i	$-0.738415\pi$
$421$	6.16436	−	18.9720i	0.300433	−	0.924637i	0.981342	−	0.192269i	$-0.0615847\pi$
$422$	−1.84258	+	0.598690i	−0.0896952	+	0.0291437i
$423$	16.4131	−	5.00208i	0.798032	−	0.243210i
$424$	6.38961	+	8.79454i	0.310307	+	0.427100i
$425$	−2.45375	−	7.55187i	−0.119024	−	0.366320i
$426$	12.5728	−	3.95806i	0.609154	−	0.191769i
$427$	10.8537	+	7.88564i	0.525245	+	0.381613i
$428$	0.330818			0.0159907
$429$	2.50222	−	4.63099i	0.120809	−	0.223586i
$430$	−31.1009			−1.49982
$431$	−29.3657	−	21.3354i	−1.41450	−	1.02769i	−0.992650	−	0.121024i	$-0.961382\pi$
$431$	−29.3657	−	21.3354i	−1.41450	−	1.02769i	−0.421846	−	0.906668i	$-0.638618\pi$
$432$	−5.19419	−	0.142926i	−0.249905	−	0.00687654i
$433$	−11.6849	−	35.9624i	−0.561540	−	1.72824i	−0.678014	−	0.735049i	$-0.737159\pi$
$433$	−11.6849	−	35.9624i	−0.561540	−	1.72824i	0.116474	−	0.993194i	$-0.462841\pi$
$434$	−1.02886	−	1.41610i	−0.0493868	−	0.0679751i
$435$	−33.2617	−	11.1456i	−1.59478	−	0.534391i
$436$	12.3736	−	4.02043i	0.592588	−	0.192543i
$437$	0.971060	−	2.98862i	0.0464521	−	0.142965i
$438$	0.227261	−	24.7827i	0.0108589	−	1.18416i
$439$		−	0.693175i		−	0.0330835i	−0.999863	−	0.0165417i	$-0.994734\pi$
$439$		−	0.693175i		−	0.0330835i	0.999863	−	0.0165417i	$-0.00526564\pi$
$440$	1.23075	+	8.60241i	0.0586738	+	0.410104i
$441$	−0.979219	+	2.83569i	−0.0466295	+	0.135033i
$442$	−2.29300	+	3.15604i	−0.109067	+	0.150117i
$443$	13.1784	+	4.28191i	0.626124	+	0.203440i	0.604857	−	0.796334i	$-0.293230\pi$
$443$	13.1784	+	4.28191i	0.626124	+	0.203440i	0.0212664	+	0.999774i	$0.493230\pi$
$444$	−9.22885	−	6.83533i	−0.437982	−	0.324390i
$445$	−18.9004	+	13.7319i	−0.895964	+	0.650956i
$446$	18.9216	−	13.7473i	0.895964	−	0.650956i
$447$	7.99192	+	5.91919i	0.378005	+	0.279968i
$448$	0.951057	+	0.309017i	0.0449332	+	0.0145997i
$449$	4.91467	−	6.76447i	0.231938	−	0.319235i	−0.677146	−	0.735849i	$-0.736783\pi$
$449$	4.91467	−	6.76447i	0.231938	−	0.319235i	0.909083	+	0.416614i	$0.136783\pi$
$450$	−1.82635	+	5.28886i	−0.0860948	+	0.249319i
$451$	−13.5430	−	7.15791i	−0.637714	−	0.337053i
$452$		−	10.2693i		−	0.483026i
$453$	0.250736	−	27.3427i	0.0117806	−	1.28467i
$454$	−2.55715	+	7.87011i	−0.120013	+	0.369363i
$455$	−2.28333	+	0.741900i	−0.107044	+	0.0347808i
$456$	2.57885	+	0.864143i	0.120766	+	0.0404672i
$457$	22.9450	+	31.5811i	1.07332	+	1.47730i	0.866665	+	0.498890i	$0.166259\pi$
$457$	22.9450	+	31.5811i	1.07332	+	1.47730i	0.206659	+	0.978413i	$0.433741\pi$
$458$	−3.75546	−	11.5581i	−0.175481	−	0.540076i
$459$	−22.1137	−	0.608494i	−1.03218	−	0.0284021i
$460$	4.24200	+	3.08200i	0.197784	+	0.143699i
$461$	−37.0739			−1.72670			−0.863352	−	0.504601i	$-0.831639\pi$
$461$	−37.0739			−1.72670			−0.863352	+	0.504601i	$0.831639\pi$
$462$	−5.65049	−	1.03536i	−0.262885	−	0.0481692i
$463$	−39.8489			−1.85194			−0.925968	−	0.377601i	$-0.876749\pi$
$463$	−39.8489			−1.85194			−0.925968	+	0.377601i	$0.876749\pi$
$464$	−6.25354	−	4.54346i	−0.290313	−	0.210925i
$465$	7.57707	−	2.38535i	0.351378	−	0.110618i
$466$	2.77618	+	8.54420i	0.128604	+	0.395803i
$467$	15.5026	+	21.3375i	0.717373	+	0.987379i	0.999607	+	0.0280338i	$0.00892461\pi$
$467$	15.5026	+	21.3375i	0.717373	+	0.987379i	−0.282234	+	0.959346i	$0.591075\pi$
$468$	2.62951	−	0.801373i	0.121549	−	0.0370435i
$469$	−5.57718	+	1.81214i	−0.257530	+	0.0836767i
$470$	4.63086	−	14.2523i	0.213606	−	0.657410i
$471$	35.7332	+	0.327678i	1.64650	+	0.0150986i
$472$		−	0.231148i		−	0.0106394i
$473$	38.7869	+	6.74004i	1.78342	+	0.309907i
$474$	−2.84452	−	3.99161i	−0.130653	−	0.183341i
$475$	1.72146	−	2.36938i	0.0789858	−	0.108715i
$476$	4.04903	+	1.31561i	0.185587	+	0.0603009i
$477$	0.598061	−	32.6065i	0.0273833	−	1.49295i
$478$	7.76420	−	5.64102i	0.355126	−	0.258014i
$479$	−18.5194	+	13.4551i	−0.846174	+	0.614781i	−0.924088	−	0.382179i	$-0.875174\pi$
$479$	−18.5194	+	13.4551i	−0.846174	+	0.614781i	0.0779148	+	0.996960i	$0.475174\pi$
$480$	−2.70105	+	3.64687i	−0.123285	+	0.166456i
$481$	5.77826	+	1.87747i	0.263466	+	0.0856052i
$482$	0.685835	−	0.943971i	0.0312389	−	0.0429967i
$483$	−2.82276	+	2.01157i	−0.128440	+	0.0915295i
$484$	0.329364	−	10.9951i	0.0149711	−	0.499776i
$485$			44.6185i			2.02602i
$486$	12.1781	+	9.73105i	0.552411	+	0.441410i
$487$	5.43080	−	16.7143i	0.246093	−	0.757396i	−0.749362	−	0.662161i	$-0.769640\pi$
$487$	5.43080	−	16.7143i	0.246093	−	0.757396i	0.995455	−	0.0952356i	$-0.0303604\pi$
$488$	−12.7592	+	4.14573i	−0.577583	+	0.187668i
$489$	−6.11066	+	18.2360i	−0.276334	+	0.824660i
$490$	1.54008	+	2.11973i	0.0695736	+	0.0957598i
$491$	−2.36230	−	7.27043i	−0.106609	−	0.328110i	0.883495	−	0.468440i	$-0.155184\pi$
$491$	−2.36230	−	7.27043i	−0.106609	−	0.328110i	−0.990105	+	0.140330i	$0.955184\pi$
$492$	−2.40217	−	7.63050i	−0.108298	−	0.344010i
$493$	−26.6238	−	19.3433i	−1.19908	−	0.871181i
$494$	−1.43884			−0.0647366
$495$	12.6026	−	22.8215i	0.566447	−	1.02575i
$496$	1.75040			0.0785952
$497$	6.15671	+	4.47311i	0.276166	+	0.200647i
$498$	7.37752	+	23.4347i	0.330595	+	1.05014i
$499$	−12.1296	−	37.3310i	−0.542995	−	1.67117i	−0.725711	−	0.688000i	$-0.758489\pi$
$499$	−12.1296	−	37.3310i	−0.542995	−	1.67117i	0.182716	−	0.983166i	$-0.441511\pi$
$500$	−4.82798	−	6.64514i	−0.215914	−	0.297180i
$501$	0.151952	−	0.453468i	0.00678871	−	0.0202595i
$502$	8.97478	−	2.91608i	0.400564	−	0.130151i
$503$	5.73151	−	17.6398i	0.255556	−	0.786519i	−0.738164	−	0.674621i	$-0.764307\pi$
$503$	5.73151	−	17.6398i	0.255556	−	0.786519i	0.993720	−	0.111898i	$-0.0356930\pi$
$504$	−1.71855	−	2.45898i	−0.0765503	−	0.109532i
$505$			12.5028i			0.556367i
$506$	−4.62243	−	4.76297i	−0.205492	−	0.211740i
$507$	17.1527	−	12.2234i	0.761776	−	0.542860i
$508$	2.42944	−	3.34384i	0.107789	−	0.148359i
$509$	1.94210	+	0.631026i	0.0860821	+	0.0279698i	0.351741	−	0.936097i	$-0.385590\pi$
$509$	1.94210	+	0.631026i	0.0860821	+	0.0279698i	−0.265659	+	0.964067i	$0.585590\pi$
$510$	−11.4994	+	15.5262i	−0.509204	+	0.687512i
$511$	11.5761	−	8.41056i	0.512099	−	0.372061i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	−4.61256	−	6.73048i	−0.203650	−	0.297158i
$514$	−1.68958	−	0.548979i	−0.0745244	−	0.0242144i
$515$	−7.89242	+	10.8630i	−0.347782	+	0.478681i
$516$	11.9315	+	16.7430i	0.525253	+	0.737068i
$517$	−8.86399	+	16.7709i	−0.389838	+	0.737586i
$518$		−	6.63057i		−	0.291331i
$519$	3.04764	+	0.0279473i	0.133777	+	0.00122675i
$520$	0.741900	−	2.28333i	0.0325345	−	0.100131i
$521$	39.2643	−	12.7577i	1.72020	−	0.558927i	0.728223	−	0.685340i	$-0.240347\pi$
$521$	39.2643	−	12.7577i	1.72020	−	0.558927i	0.991978	+	0.126413i	$0.0403465\pi$
$522$	6.76026	+	22.1821i	0.295889	+	0.970885i
$523$	2.41673	+	3.32635i	0.105676	+	0.145451i	0.858580	−	0.512680i	$-0.171347\pi$
$523$	2.41673	+	3.32635i	0.105676	+	0.145451i	−0.752903	+	0.658131i	$0.771347\pi$
$524$	5.29339	+	16.2914i	0.231243	+	0.711693i
$525$	−3.08137	+	0.970052i	−0.134482	+	0.0423365i
$526$	9.01658	+	6.55093i	0.393141	+	0.285634i
$527$	7.45216			0.324621
$528$	4.15890	−	3.96277i	0.180993	−	0.172458i
$529$	18.9952			0.825879
$530$	−23.0429	−	16.7416i	−1.00092	−	0.727210i
$531$	−0.417816	+	0.553439i	−0.0181317	+	0.0240172i
$532$	0.485240	+	1.49341i	0.0210378	+	0.0647477i
$533$	2.48754	+	3.42381i	0.107747	+	0.148302i
$534$	14.6434	+	4.90683i	0.633682	+	0.212339i
$535$	−0.824363	+	0.267852i	−0.0356403	+	0.0115802i
$536$	1.81214	−	5.57718i	0.0782724	−	0.240898i
$537$	−0.199477	+	21.7530i	−0.00860809	+	0.938709i
$538$			16.1838i			0.697732i
$539$	−1.46130	−	2.97735i	−0.0629427	−	0.128243i
$540$	13.0591	−	3.84940i	0.561974	−	0.165652i
$541$	−20.1344	+	27.7126i	−0.865646	+	1.19146i	0.114548	+	0.993418i	$0.463458\pi$
$541$	−20.1344	+	27.7126i	−0.865646	+	1.19146i	−0.980194	+	0.198041i	$0.936542\pi$
$542$	23.3334	+	7.58148i	1.00226	+	0.325652i
$543$	−6.49530	−	4.81073i	−0.278740	−	0.206448i
$544$	−3.44431	+	2.50244i	−0.147674	+	0.107291i
$545$	−27.5785	+	20.0370i	−1.18133	+	0.858289i
$546$	1.27537	+	0.944600i	0.0545808	+	0.0404251i
$547$	−3.52316	−	1.14474i	−0.150639	−	0.0489457i	0.232727	−	0.972542i	$-0.425235\pi$
$547$	−3.52316	−	1.14474i	−0.150639	−	0.0489457i	−0.383366	+	0.923596i	$0.625235\pi$
$548$	9.00623	−	12.3960i	0.384727	−	0.529531i
$549$	38.0432	+	13.1371i	1.62364	+	0.560676i
$550$	−2.72548	−	5.55307i	−0.116215	−	0.236784i
$551$		−	12.1379i		−	0.517090i
$552$	0.0317839	−	3.46603i	0.00135281	−	0.147524i
$553$	0.874474	−	2.69135i	0.0371864	−	0.114448i
$554$	−12.5758	+	4.08612i	−0.534294	+	0.173603i
$555$	28.5317	+	9.56063i	1.21110	+	0.405826i
$556$	4.78486	+	6.58579i	0.202923	+	0.279300i
$557$	4.72903	+	14.5545i	0.200375	+	0.616692i	0.999872	+	0.0160210i	$0.00509988\pi$
$557$	4.72903	+	14.5545i	0.200375	+	0.616692i	−0.799496	+	0.600671i	$0.794900\pi$
$558$	−4.19099	−	3.16397i	−0.177419	−	0.133941i
$559$	−8.79926	−	6.39303i	−0.372169	−	0.270397i
$560$	−2.62013			−0.110721
$561$	17.7061	−	16.8711i	0.747552	−	0.712300i
$562$	−19.4158			−0.819006
$563$	13.6236	+	9.89816i	0.574168	+	0.417158i	0.836617	−	0.547788i	$-0.184530\pi$
$563$	13.6236	+	9.89816i	0.574168	+	0.417158i	−0.262449	+	0.964946i	$0.584530\pi$
$564$	−9.44922	+	2.97473i	−0.397884	+	0.125259i
$565$	8.31469	+	25.5900i	0.349802	+	1.07658i
$566$	−1.32394	−	1.82225i	−0.0556493	−	0.0765947i
$567$	−0.330041	+	8.99395i	−0.0138604	+	0.377710i
$568$	−7.23765	+	2.35165i	−0.303685	+	0.0986733i
$569$	−8.73073	+	26.8704i	−0.366011	+	1.12647i	0.583334	+	0.812232i	$0.301748\pi$
$569$	−8.73073	+	26.8704i	−0.366011	+	1.12647i	−0.949346	+	0.314234i	$0.898252\pi$
$570$	−7.12590	−	0.0653454i	−0.298471	−	0.00273702i
$571$		−	29.7432i		−	1.24472i	−0.782733	−	0.622358i	$-0.786175\pi$
$571$		−	29.7432i		−	1.24472i	0.782733	−	0.622358i	$-0.213825\pi$
$572$	−1.42008	+	2.68684i	−0.0593766	+	0.112342i
$573$	−8.08552	−	11.3461i	−0.337778	−	0.473991i
$574$	2.71476	−	3.73654i	0.113312	−	0.155960i
$575$	−3.54976	−	1.15339i	−0.148035	−	0.0480996i
$576$	2.99950	+	0.0550161i	0.124979	+	0.00229234i
$577$	−34.3606	+	24.9645i	−1.43045	+	1.03928i	−0.440520	+	0.897743i	$0.645206\pi$
$577$	−34.3606	+	24.9645i	−1.43045	+	1.03928i	−0.989932	+	0.141542i	$0.954794\pi$
$578$	−0.910539	+	0.661546i	−0.0378734	+	0.0275167i
$579$	17.3561	−	23.4337i	0.721296	−	0.973873i
$580$	19.2619	+	6.25856i	0.799805	+	0.259872i
$581$	−8.33754	+	11.4756i	−0.345899	+	0.476090i
$582$	24.0202	−	17.1173i	0.995667	−	0.709537i
$583$	25.1094	+	25.8728i	1.03992	+	1.07154i
$584$			14.3089i			0.592107i
$585$	−5.90362	+	4.12596i	−0.244085	+	0.170588i
$586$	2.53614	−	7.80544i	0.104767	−	0.322440i
$587$	8.77320	−	2.85058i	0.362109	−	0.117656i	−0.122311	−	0.992492i	$-0.539031\pi$
$587$	8.77320	−	2.85058i	0.362109	−	0.117656i	0.484420	+	0.874836i	$0.339031\pi$
$588$	0.550316	−	1.64230i	0.0226946	−	0.0677274i
$589$	1.61558	+	2.22366i	0.0665690	+	0.0916243i
$590$	0.187153	+	0.575997i	0.00770495	+	0.0237134i
$591$	1.63510	+	5.19391i	0.0672592	+	0.213649i
$592$	5.36424	+	3.89735i	0.220469	+	0.160180i
$593$	−30.1833			−1.23948			−0.619739	−	0.784808i	$-0.712762\pi$
$593$	−30.1833			−1.23948			−0.619739	+	0.784808i	$0.712762\pi$
$594$	−17.1207	+	1.97060i	−0.702469	+	0.0808549i
$595$	−11.1550			−0.457309
$596$	−4.64528	−	3.37499i	−0.190278	−	0.138245i
$597$	−3.19625	−	10.1529i	−0.130814	−	0.415531i
$598$	0.566646	+	1.74396i	0.0231719	+	0.0713157i
$599$	3.23859	+	4.45754i	0.132325	+	0.182130i	0.870038	−	0.492985i	$-0.164094\pi$
$599$	3.23859	+	4.45754i	0.132325	+	0.182130i	−0.737713	+	0.675115i	$0.764094\pi$
$600$	1.02640	−	3.06306i	0.0419025	−	0.125049i
$601$	−7.29963	+	2.37179i	−0.297758	+	0.0967474i	−0.454086	−	0.890958i	$-0.650034\pi$
$601$	−7.29963	+	2.37179i	−0.297758	+	0.0967474i	0.156328	+	0.987705i	$0.450034\pi$
$602$	−3.66802	+	11.2890i	−0.149497	+	0.460105i
$603$	−14.4200	+	10.0779i	−0.587226	+	0.410405i
$604$			15.7870i			0.642364i
$605$	8.08159	+	27.6652i	0.328564	+	1.12475i
$606$	6.73081	−	4.79654i	0.273420	−	0.194846i
$607$	−14.6867	+	20.2145i	−0.596113	+	0.820479i	−0.995346	−	0.0963704i	$-0.969277\pi$
$607$	−14.6867	+	20.2145i	−0.596113	+	0.820479i	0.399232	+	0.916850i	$0.369277\pi$
$608$	−1.49341	−	0.485240i	−0.0605659	−	0.0196791i
$609$	−7.96850	+	10.7588i	−0.322900	+	0.435970i
$610$	28.4380	−	20.6614i	1.15142	−	0.836557i
$611$	4.23987	−	3.08045i	0.171527	−	0.124622i
$612$	12.7701	+	0.234226i	0.516199	+	0.00946802i
$613$	−9.75352	−	3.16911i	−0.393941	−	0.127999i	0.105346	−	0.994436i	$-0.466405\pi$
$613$	−9.75352	−	3.16911i	−0.393941	−	0.127999i	−0.499288	+	0.866436i	$0.666405\pi$
$614$	−6.60748	+	9.09442i	−0.266656	+	0.367021i
$615$	12.1641	+	17.0695i	0.490505	+	0.688307i
$616$	3.26766	+	0.567824i	0.131658	+	0.0228783i
$617$			12.7883i			0.514836i	0.966300	+	0.257418i	$0.0828718\pi$
$617$			12.7883i			0.514836i	−0.966300	+	0.257418i	$0.917128\pi$
$618$	8.87586	+	0.0813928i	0.357039	+	0.00327410i
$619$	−1.70064	+	5.23402i	−0.0683544	+	0.210373i	−0.979399	−	0.201935i	$-0.935277\pi$
$619$	−1.70064	+	5.23402i	−0.0683544	+	0.210373i	0.911045	+	0.412308i	$0.135277\pi$
$620$	−4.36181	+	1.41724i	−0.175175	+	0.0569177i
$621$	−6.34119	+	8.24128i	−0.254463	+	0.330711i
$622$	2.02381	+	2.78554i	0.0811474	+	0.111690i
$623$	2.75532	+	8.47999i	0.110389	+	0.339744i
$624$	−1.51384	+	0.476575i	−0.0606022	+	0.0190783i
$625$	24.9557	+	18.1314i	0.998227	+	0.725254i
$626$	−26.2559			−1.04940
$627$	8.87278	+	1.62579i	0.354345	+	0.0649277i
$628$	−20.6314			−0.823284
$629$	22.8378	+	16.5926i	0.910601	+	0.661590i
$630$	6.27340	+	4.73607i	0.249938	+	0.188690i
$631$	−11.1976	−	34.4626i	−0.445768	−	1.37193i	−0.881639	−	0.471924i	$-0.843560\pi$
$631$	−11.1976	−	34.4626i	−0.445768	−	1.37193i	0.435872	−	0.900009i	$-0.356440\pi$
$632$	1.66335	+	2.28940i	0.0661645	+	0.0910676i
$633$	−3.18179	−	1.06618i	−0.126465	−	0.0423769i
$634$	24.6582	−	8.01195i	0.979304	−	0.318195i
$635$	−3.34653	+	10.2995i	−0.132803	+	0.408725i
$636$	−0.172653	+	18.8277i	−0.00684612	+	0.746568i
$637$			0.916304i			0.0363053i
$638$	−22.6658	−	11.9796i	−0.897346	−	0.474277i
$639$	21.5799	+	7.45197i	0.853688	+	0.294795i
$640$	1.54008	−	2.11973i	0.0608769	−	0.0837898i
$641$	−45.1319	−	14.6642i	−1.78260	−	0.579203i	−0.783493	−	0.621400i	$-0.786564\pi$
$641$	−45.1319	−	14.6642i	−1.78260	−	0.579203i	−0.999109	+	0.0421975i	$0.986564\pi$
$642$	0.460453	+	0.341033i	0.0181726	+	0.0134595i
$643$	18.5666	−	13.4894i	0.732196	−	0.531971i	−0.158062	−	0.987429i	$-0.550524\pi$
$643$	18.5666	−	13.4894i	0.732196	−	0.531971i	0.890257	+	0.455458i	$0.150524\pi$
$644$	1.61900	−	1.17627i	0.0637976	−	0.0463517i
$645$	−43.2882	−	32.0613i	−1.70447	−	1.26241i
$646$	−6.35807	−	2.06586i	−0.250155	−	0.0812802i
$647$	9.49447	−	13.0680i	0.373266	−	0.513757i	−0.580519	−	0.814247i	$-0.697150\pi$
$647$	9.49447	−	13.0680i	0.373266	−	0.513757i	0.953785	+	0.300490i	$0.0971502\pi$
$648$	−7.08226	−	5.55352i	−0.278218	−	0.218163i
$649$	−0.108577	−	0.758903i	−0.00426201	−	0.0297896i
$650$			1.70900i			0.0670326i
$651$	0.0278006	−	3.03165i	0.00108959	−	0.118820i
$652$	3.43130	−	10.5605i	0.134380	−	0.413579i
$653$	43.4043	−	14.1029i	1.69854	−	0.551890i	0.710181	−	0.704019i	$-0.248613\pi$
$653$	43.4043	−	14.1029i	1.69854	−	0.551890i	0.988361	+	0.152129i	$0.0486130\pi$
$654$	21.3669	+	7.15981i	0.835514	+	0.279971i
$655$	−26.3812	−	36.3106i	−1.03080	−	1.41877i
$656$	1.42723	+	4.39257i	0.0557241	+	0.171501i
$657$	25.8643	−	34.2599i	1.00906	−	1.33661i
$658$	−4.62714	−	3.36182i	−0.180385	−	0.131057i
$659$	−19.5568			−0.761827			−0.380913	−	0.924611i	$-0.624390\pi$
$659$	−19.5568			−0.761827			−0.380913	+	0.924611i	$0.624390\pi$
$660$	−7.15501	+	13.2421i	−0.278508	+	0.515450i
$661$	7.08687			0.275647			0.137824	−	0.990457i	$-0.455989\pi$
$661$	7.08687			0.275647			0.137824	+	0.990457i	$0.455989\pi$
$662$	1.00039	+	0.726824i	0.0388812	+	0.0282488i
$663$	−6.44503	+	2.02897i	−0.250304	+	0.0787987i
$664$	−4.38330	−	13.4904i	−0.170105	−	0.523530i
$665$	−2.41833	−	3.32855i	−0.0937789	−	0.129076i
$666$	−5.79891	−	19.0277i	−0.224703	−	0.737308i
$667$	−14.7117	+	4.78014i	−0.569641	+	0.185088i
$668$	−0.0853251	+	0.262604i	−0.00330133	+	0.0101604i
$669$	40.5082	+	0.371465i	1.56614	+	0.0143617i
$670$			15.3650i			0.593601i
$671$	−39.9437	+	19.6046i	−1.54201	+	0.756827i
$672$	1.00518	+	1.41054i	0.0387757	+	0.0544126i
$673$	−9.51228	+	13.0925i	−0.366671	+	0.504680i	−0.951992	−	0.306122i	$-0.900968\pi$
$673$	−9.51228	+	13.0925i	−0.366671	+	0.504680i	0.585321	+	0.810802i	$0.300968\pi$
$674$	−24.2797	−	7.88897i	−0.935221	−	0.303872i
$675$	−7.99421	+	5.47863i	−0.307697	+	0.210873i
$676$	−9.83796	+	7.14770i	−0.378383	+	0.274911i
$677$	−19.7900	+	14.3783i	−0.760590	+	0.552601i	−0.899091	−	0.437761i	$-0.855772\pi$
$677$	−19.7900	+	14.3783i	−0.760590	+	0.552601i	0.138501	+	0.990362i	$0.455772\pi$
$678$	10.5864	−	14.2934i	0.406568	−	0.548936i
$679$	16.1956	+	5.26228i	0.621532	+	0.201948i
$680$	6.55673	−	9.02456i	0.251439	−	0.346076i
$681$	−11.6724	+	8.31801i	−0.447286	+	0.318747i
$682$	5.74690	−	0.822213i	0.220060	−	0.0314841i
$683$		−	2.32409i		−	0.0889288i	−0.999011	−	0.0444644i	$-0.985842\pi$
$683$		−	2.32409i		−	0.0889288i	0.999011	−	0.0444644i	$-0.0141581\pi$
$684$	2.69858	+	3.86126i	0.103183	+	0.147639i
$685$	−12.4060	+	38.1816i	−0.474007	+	1.45884i
$686$	0.951057	−	0.309017i	0.0363115	−	0.0117983i
$687$	6.68795	−	19.9588i	0.255161	−	0.761474i
$688$	−6.97698	−	9.60299i	−0.265995	−	0.366110i
$689$	−3.07806	−	9.47330i	−0.117265	−	0.360904i
$690$	2.72712	+	8.66272i	0.103820	+	0.329784i
$691$	23.1283	+	16.8037i	0.879844	+	0.639244i	0.933210	−	0.359331i	$-0.116995\pi$
$691$	23.1283	+	16.8037i	0.879844	+	0.639244i	−0.0533663	+	0.998575i	$0.516995\pi$
$692$	−1.75963			−0.0668911
$693$	−6.79739	−	7.26605i	−0.258211	−	0.276015i
$694$	−36.0861			−1.36981
$695$	−17.2557	−	12.5370i	−0.654544	−	0.475554i
$696$	−4.02031	−	12.7705i	−0.152389	−	0.484066i
$697$	6.07630	+	18.7009i	0.230156	+	0.708349i
$698$	−9.21803	−	12.6875i	−0.348908	−	0.480230i
$699$	−4.94399	+	14.7543i	−0.186999	+	0.558058i
$700$	1.77382	−	0.576349i	0.0670441	−	0.0217840i
$701$	−1.72514	+	5.30943i	−0.0651575	+	0.200534i	−0.978335	−	0.207028i	$-0.933621\pi$
$701$	−1.72514	+	5.30943i	−0.0651575	+	0.200534i	0.913178	+	0.407562i	$0.133621\pi$
$702$	4.48604	+	1.59531i	0.169315	+	0.0602109i
$703$			10.4118i			0.392688i
$704$	−2.38006	+	2.30983i	−0.0897019	+	0.0870550i
$705$	21.1380	−	15.0634i	0.796101	−	0.567321i
$706$	−19.1547	+	26.3641i	−0.720896	+	0.992228i
$707$	4.53826	+	1.47457i	0.170679	+	0.0554569i
$708$	0.238286	−	0.321727i	0.00895533	−	0.0120912i
$709$	0.965624	−	0.701567i	0.0362648	−	0.0263479i	−0.569505	−	0.821988i	$-0.692865\pi$
$709$	0.965624	−	0.701567i	0.0362648	−	0.0263479i	0.605770	+	0.795640i	$0.292865\pi$
$710$	16.1314	−	11.7202i	0.605401	−	0.439850i
$711$	0.155688	−	8.48815i	0.00583875	−	0.318330i
$712$	−8.47999	−	2.75532i	−0.317801	−	0.103260i
$713$	2.05895	−	2.83390i	0.0771083	−	0.106130i
$714$	4.27947	+	6.00522i	0.160155	+	0.224740i
$715$	1.36325	−	7.84512i	0.0509828	−	0.293391i
$716$		−	12.5596i		−	0.469374i
$717$	16.6219	+	0.152425i	0.620757	+	0.00569242i
$718$	9.71329	−	29.8944i	0.362497	−	1.11565i
$719$	−37.6422	+	12.2307i	−1.40382	+	0.456127i	−0.910423	−	0.413679i	$-0.864244\pi$
$719$	−37.6422	+	12.2307i	−1.40382	+	0.456127i	−0.493393	+	0.869806i	$0.664244\pi$
$720$	−7.51898	+	2.29150i	−0.280216	+	0.0853990i
$721$	3.01222	+	4.14597i	0.112181	+	0.154404i
$722$	5.10937	+	15.7250i	0.190151	+	0.585224i
$723$	1.92771	−	0.606866i	0.0716923	−	0.0225696i
$724$	3.77538	+	2.74297i	0.140311	+	0.101942i
$725$	−14.4169			−0.535430
$726$	11.7930	−	14.9641i	0.437680	−	0.555370i
$727$	28.9835			1.07494			0.537469	−	0.843283i	$-0.319380\pi$
$727$	28.9835			1.07494			0.537469	+	0.843283i	$0.319380\pi$
$728$	−0.741305	−	0.538590i	−0.0274746	−	0.0199615i
$729$	6.91873	+	26.0985i	0.256249	+	0.966611i
$730$	−11.5854	−	35.6563i	−0.428796	−	1.31970i
$731$	−29.7038	−	40.8838i	−1.09864	−	1.51214i
$732$	−22.0329	−	7.38296i	−0.814358	−	0.272882i
$733$	−34.1311	+	11.0899i	−1.26066	+	0.409613i	−0.861730	−	0.507368i	$-0.830619\pi$
$733$	−34.1311	+	11.0899i	−1.26066	+	0.409613i	−0.398931	+	0.916981i	$0.630619\pi$
$734$	0.789783	−	2.43070i	0.0291514	−	0.0897188i
$735$	−0.0416142	+	4.53802i	−0.00153496	+	0.167387i
$736$			2.00120i			0.0737651i
$737$	3.32983	−	19.1622i	0.122656	−	0.705848i
$738$	4.52264	−	13.0970i	0.166481	−	0.482106i
$739$	8.63485	−	11.8849i	0.317638	−	0.437191i	−0.620106	−	0.784518i	$-0.712910\pi$
$739$	8.63485	−	11.8849i	0.317638	−	0.437191i	0.937744	+	0.347327i	$0.112910\pi$
$740$	−16.5227	−	5.36855i	−0.607386	−	0.197352i
$741$	−2.00267	−	1.48327i	−0.0735701	−	0.0544895i
$742$	−8.79454	+	6.38961i	−0.322858	+	0.234570i
$743$	25.1042	−	18.2392i	0.920982	−	0.669133i	−0.0227861	−	0.999740i	$-0.507254\pi$
$743$	25.1042	−	18.2392i	0.920982	−	0.669133i	0.943768	+	0.330608i	$0.107254\pi$
$744$	2.43632	+	1.80445i	0.0893197	+	0.0661544i
$745$	14.3082	+	4.64900i	0.524211	+	0.170326i
$746$	2.15277	−	2.96304i	0.0788186	−	0.108484i
$747$	−13.8899	+	40.2233i	−0.508205	+	1.47169i
$748$	−10.1329	+	9.83388i	−0.370495	+	0.359562i
$749$			0.330818i			0.0120878i
$750$	0.130456	−	14.2262i	0.00476358	−	0.519467i
$751$	−9.91813	+	30.5249i	−0.361918	+	1.11387i	0.589971	+	0.807424i	$0.299139\pi$
$751$	−9.91813	+	30.5249i	−0.361918	+	1.11387i	−0.951889	+	0.306444i	$0.900861\pi$
$752$	5.43953	−	1.76741i	0.198359	−	0.0644509i
$753$	15.4978	+	5.19313i	0.564772	+	0.189248i
$754$	4.16319	+	5.73014i	0.151614	+	0.208679i
$755$	−12.7822	−	39.3395i	−0.465192	−	1.43171i
$756$	0.142926	−	5.19419i	0.00519817	−	0.188911i
$757$	−24.8663	−	18.0664i	−0.903781	−	0.656635i	0.0356534	−	0.999364i	$-0.488649\pi$
$757$	−24.8663	−	18.0664i	−0.903781	−	0.656635i	−0.939434	+	0.342729i	$0.888649\pi$
$758$	−25.4141			−0.923082
$759$	−1.52374	−	11.3946i	−0.0553083	−	0.413597i
$760$	4.11431			0.149242
$761$	−13.2586	−	9.63293i	−0.480624	−	0.349193i	0.320943	−	0.947098i	$-0.396000\pi$
$761$	−13.2586	−	9.63293i	−0.480624	−	0.349193i	−0.801567	+	0.597905i	$0.796000\pi$
$762$	6.82856	−	2.14971i	0.247372	−	0.0778757i
$763$	4.02043	+	12.3736i	0.145549	+	0.447954i
$764$	4.72805	+	6.50760i	0.171055	+	0.235437i
$765$	−32.0113	+	9.75582i	−1.15737	+	0.352722i
$766$	−23.4208	+	7.60988i	−0.846228	+	0.274956i
$767$	−0.0654504	+	0.201435i	−0.00236328	+	0.00727341i
$768$	−1.73198	−	0.0158825i	−0.0624974	−	0.000573109i
$769$		−	33.5084i		−	1.20834i	−0.796854	−	0.604172i	$-0.793504\pi$
$769$		−	33.5084i		−	1.20834i	0.796854	−	0.604172i	$-0.206496\pi$
$770$	−8.60241	+	1.23075i	−0.310009	+	0.0443532i
$771$	−1.78574	−	2.50586i	−0.0643119	−	0.0902465i
$772$	−9.89609	+	13.6208i	−0.356168	+	0.490223i
$773$	32.4733	+	10.5512i	1.16798	+	0.379501i	0.827890	−	0.560890i	$-0.189541\pi$
$773$	32.4733	+	10.5512i	1.16798	+	0.379501i	0.340094	+	0.940391i	$0.389541\pi$
$774$	−0.653039	+	35.6038i	−0.0234730	+	1.27975i
$775$	2.64118	−	1.91893i	0.0948740	−	0.0689300i
$776$	−13.7768	+	10.0095i	−0.494560	+	0.359319i
$777$	6.83533	−	9.22885i	0.245216	−	0.331083i
$778$	−30.7452	−	9.98973i	−1.10227	−	0.358149i
$779$	−4.26290	+	5.86737i	−0.152734	+	0.210220i
$780$	3.38647	−	2.41328i	0.121255	−	0.0864093i
$781$	−22.6580	+	11.1207i	−0.810766	+	0.397929i
$782$			8.51990i			0.304671i
$783$	−13.4578	+	37.8435i	−0.480941	+	1.35242i
$784$	−0.309017	+	0.951057i	−0.0110363	+	0.0339663i
$785$	51.4114	−	16.7046i	1.83495	−	0.596212i
$786$	−9.42679	+	28.1323i	−0.336242	+	1.00344i
$787$	−19.2718	−	26.5254i	−0.686967	−	0.945529i	0.313024	−	0.949745i	$-0.398658\pi$
$787$	−19.2718	−	26.5254i	−0.686967	−	0.945529i	−0.999991	+	0.00421634i	$0.998658\pi$
$788$	−0.971485	−	2.98992i	−0.0346077	−	0.106512i
$789$	5.79663	+	18.4130i	0.206365	+	0.655521i
$790$	−5.99854	−	4.35820i	−0.213419	−	0.155058i
$791$	10.2693			0.365134
$792$	9.87376	−	1.22832i	0.350849	−	0.0436465i
$793$	12.2930			0.436537
$794$	17.8557	+	12.9729i	0.633675	+	0.460392i
$795$	−14.8139	−	47.0565i	−0.525396	−	1.66892i
$796$	1.89903	+	5.84462i	0.0673094	+	0.207157i
$797$	−3.38186	−	4.65473i	−0.119792	−	0.164879i	0.744910	−	0.667165i	$-0.232492\pi$
$797$	−3.38186	−	4.65473i	−0.119792	−	0.164879i	−0.864701	+	0.502286i	$0.832492\pi$
$798$	−0.864143	+	2.57885i	−0.0305903	+	0.0912904i
$799$	23.1583	−	7.52459i	0.819282	−	0.266201i
$800$	−0.576349	+	1.77382i	−0.0203770	+	0.0627140i
$801$	15.3233	+	21.9252i	0.541421	+	0.774690i
$802$		−	3.73610i		−	0.131926i
$803$	6.72130	+	46.9789i	0.237190	+	1.65785i
$804$	8.27166	−	5.89459i	0.291719	−	0.207886i
$805$	−3.08200	+	4.24200i	−0.108626	+	0.149511i
$806$	−1.52540	−	0.495632i	−0.0537298	−	0.0174579i
$807$	−16.6835	+	22.5256i	−0.587288	+	0.792939i
$808$	−3.86048	+	2.80480i	−0.135811	+	0.0986725i
$809$	−15.6956	+	11.4035i	−0.551828	+	0.400927i	−0.828459	−	0.560050i	$-0.810782\pi$
$809$	−15.6956	+	11.4035i	−0.551828	+	0.400927i	0.276631	+	0.960976i	$0.410782\pi$
$810$	22.1448	+	8.10452i	0.778087	+	0.284764i
$811$	47.5016	+	15.4342i	1.66801	+	0.541968i	0.982526	−	0.186124i	$-0.0595926\pi$
$811$	47.5016	+	15.4342i	1.66801	+	0.541968i	0.685480	+	0.728092i	$0.259593\pi$
$812$	4.54346	−	6.25354i	0.159444	−	0.219456i
$813$	24.6613	+	34.6063i	0.864910	+	1.21370i
$814$	19.4425	+	10.2760i	0.681461	+	0.360174i
$815$			29.0938i			1.01911i
$816$	−7.37373	−	0.0676180i	−0.258132	−	0.00236711i
$817$	5.75977	−	17.7267i	0.201509	−	0.620180i
$818$	9.65726	−	3.13783i	0.337658	−	0.109712i
$819$	0.801373	+	2.62951i	0.0280023	+	0.0918825i
$820$	−7.11303	−	9.79025i	−0.248398	−	0.341890i
$821$	−10.3637	−	31.8960i	−0.361694	−	1.11318i	−0.952025	−	0.306019i	$-0.901003\pi$
$821$	−10.3637	−	31.8960i	−0.361694	−	1.11318i	0.590332	−	0.807161i	$-0.298997\pi$
$822$	25.3142	−	7.96922i	0.882936	−	0.277958i
$823$	20.7324	+	15.0629i	0.722685	+	0.525061i	0.887241	−	0.461306i	$-0.152619\pi$
$823$	20.7324	+	15.0629i	0.722685	+	0.525061i	−0.164556	+	0.986368i	$0.552619\pi$
$824$	−5.12470			−0.178527
$825$	1.93105	−	10.5388i	0.0672305	−	0.366913i
$826$	0.231148			0.00804267
$827$	18.8660	+	13.7069i	0.656034	+	0.476636i	0.865321	−	0.501218i	$-0.167114\pi$
$827$	18.8660	+	13.7069i	0.656034	+	0.476636i	−0.209287	+	0.977854i	$0.567114\pi$
$828$	3.61730	−	4.79148i	0.125710	−	0.166515i
$829$	−1.49661	−	4.60610i	−0.0519795	−	0.159976i	0.921697	−	0.387910i	$-0.126803\pi$
$829$	−1.49661	−	4.60610i	−0.0519795	−	0.159976i	−0.973677	+	0.227934i	$0.926803\pi$
$830$	21.8455	+	30.0677i	0.758267	+	1.04367i
$831$	−21.7161	−	7.27681i	−0.753323	−	0.252430i
$832$	0.871457	−	0.283154i	0.0302123	−	0.00981658i
$833$	−1.31561	+	4.04903i	−0.0455832	+	0.140291i
$834$	−0.129291	+	14.0991i	−0.00447698	+	0.488213i
$835$		−	0.723466i		−	0.0250366i
$836$	−5.13110	−	0.891636i	−0.177463	−	0.0308379i
$837$	−2.57162	−	8.72422i	−0.0888881	−	0.301553i
$838$	4.33217	−	5.96272i	0.149652	−	0.205979i
$839$	39.5176	+	12.8400i	1.36430	+	0.443287i	0.897476	−	0.441064i	$-0.145399\pi$
$839$	39.5176	+	12.8400i	1.36430	+	0.443287i	0.466822	+	0.884351i	$0.345399\pi$
$840$	−3.64687	−	2.70105i	−0.125829	−	0.0931949i
$841$	−24.8771	+	18.0743i	−0.857831	+	0.623250i
$842$	−16.1385	+	11.7253i	−0.556170	+	0.404081i
$843$	−27.0242	−	20.0154i	−0.930761	−	0.689366i
$844$	1.84258	+	0.598690i	0.0634241	+	0.0206077i
$845$	18.7279	−	25.7768i	0.644260	−	0.886748i
$846$	−16.2186	−	5.60061i	−0.557608	−	0.192553i
$847$	10.9951	+	0.329364i	0.377795	+	0.0113171i
$848$		−	10.8706i		−	0.373300i
$849$	0.0357740	−	3.90114i	0.00122776	−	0.133887i
$850$	−2.45375	+	7.55187i	−0.0841630	+	0.259027i
$851$	12.6196	−	4.10037i	0.432596	−	0.140559i
$852$	−12.4981	−	4.18797i	−0.428178	−	0.143477i
$853$	−3.62573	−	4.99038i	−0.124143	−	0.170867i	0.742422	−	0.669932i	$-0.233677\pi$
$853$	−3.62573	−	4.99038i	−0.124143	−	0.170867i	−0.866565	+	0.499065i	$0.833677\pi$
$854$	−4.14573	−	12.7592i	−0.141864	−	0.436612i
$855$	−9.85092	−	7.43690i	−0.336894	−	0.254337i
$856$	−0.267637	−	0.194450i	−0.00914765	−	0.00664615i
$857$	26.8084			0.915758			0.457879	−	0.889015i	$-0.348609\pi$
$857$	26.8084			0.915758			0.457879	+	0.889015i	$0.348609\pi$
$858$	−4.74637	+	2.27578i	−0.162038	+	0.0776939i
$859$	14.4684			0.493655			0.246828	−	0.969059i	$-0.420612\pi$
$859$	14.4684			0.493655			0.246828	+	0.969059i	$0.420612\pi$
$860$	25.1611	+	18.2806i	0.857987	+	0.623364i
$861$	7.63050	−	2.40217i	0.260047	−	0.0818657i
$862$	11.2167	+	34.5214i	0.382042	+	1.17580i
$863$	−12.8304	−	17.6595i	−0.436750	−	0.601135i	0.532736	−	0.846282i	$-0.321164\pi$
$863$	−12.8304	−	17.6595i	−0.436750	−	0.601135i	−0.969486	+	0.245146i	$0.921164\pi$
$864$	4.11818	+	3.16870i	0.140103	+	0.107801i
$865$	4.38482	−	1.42471i	0.149088	−	0.0484417i
$866$	−11.6849	+	35.9624i	−0.397069	+	1.22205i
$867$	−1.94932	−	0.0178755i	−0.0662024	−	0.000607085i
$868$			1.75040i			0.0594124i
$869$	6.53649	+	6.73523i	0.221735	+	0.228477i
$870$	20.3581	+	28.5677i	0.690203	+	0.968536i
$871$	−3.15840	+	4.34716i	−0.107018	+	0.147298i
$872$	−12.3736	−	4.02043i	−0.419023	−	0.136149i
$873$	51.0787	+	0.936876i	1.72875	+	0.0317084i
$874$	−2.54227	+	1.84707i	−0.0859935	+	0.0624779i
$875$	6.64514	−	4.82798i	0.224647	−	0.163215i
$876$	−14.7508	+	19.9161i	−0.498382	+	0.672901i
$877$	−28.5577	−	9.27896i	−0.964325	−	0.313328i	−0.215802	−	0.976437i	$-0.569237\pi$
$877$	−28.5577	−	9.27896i	−0.964325	−	0.313328i	−0.748523	+	0.663109i	$0.769237\pi$
$878$	−0.407438	+	0.560791i	−0.0137504	+	0.0189258i
$879$	11.5764	−	8.24965i	0.390463	−	0.278254i
$880$	4.06067	−	7.68291i	0.136885	−	0.258991i
$881$			13.6297i			0.459196i	0.973286	+	0.229598i	$0.0737411\pi$
$881$			13.6297i			0.459196i	−0.973286	+	0.229598i	$0.926259\pi$
$882$	2.45898	−	1.71855i	0.0827982	−	0.0578666i
$883$	11.8546	−	36.4848i	0.398940	−	1.22781i	−0.526911	−	0.849920i	$-0.676650\pi$
$883$	11.8546	−	36.4848i	0.398940	−	1.22781i	0.925851	−	0.377889i	$-0.123350\pi$
$884$	3.71014	−	1.20550i	0.124786	−	0.0405453i
$885$	−0.333293	+	0.994641i	−0.0112035	+	0.0334345i
$886$	−8.14469	−	11.2102i	−0.273626	−	0.376614i
$887$	−5.47025	−	16.8357i	−0.183673	−	0.565288i	0.816250	−	0.577699i	$-0.196049\pi$
$887$	−5.47025	−	16.8357i	−0.183673	−	0.565288i	−0.999923	+	0.0124113i	$0.996049\pi$
$888$	3.44860	+	10.9545i	0.115727	+	0.367608i
$889$	3.34384	+	2.42944i	0.112149	+	0.0814809i
$890$	23.3622			0.783101
$891$	−25.8611	−	14.9065i	−0.866379	−	0.499388i
$892$	−23.3884			−0.783101
$893$	7.26586	+	5.27895i	0.243143	+	0.176653i
$894$	−2.98638	−	9.48626i	−0.0998796	−	0.317268i
$895$	10.1691	+	31.2972i	0.339915	+	1.04615i
$896$	−0.587785	−	0.809017i	−0.0196365	−	0.0270274i
$897$	−1.00912	+	3.01150i	−0.0336934	+	0.100551i
$898$	−7.95211	+	2.58380i	−0.265365	+	0.0862224i
$899$	4.18107	−	12.8680i	0.139447	−	0.429172i
$900$	4.58626	−	3.20528i	0.152875	−	0.106843i
$901$		−	46.2807i		−	1.54183i
$902$	6.74919	+	13.7512i	0.224724	+	0.457866i
$903$	−16.7430	+	11.9315i	−0.557171	+	0.397054i
$904$	−6.03613	+	8.30802i	−0.200759	+	0.276321i
$905$	−11.6287	−	3.77841i	−0.386552	−	0.125598i
$906$	−16.2745	+	21.9733i	−0.540684	+	0.730016i
$907$	−44.1679	+	32.0899i	−1.46657	+	1.06553i	−0.484982	+	0.874524i	$0.661174\pi$
$907$	−44.1679	+	32.0899i	−1.46657	+	1.06553i	−0.981590	+	0.191002i	$0.938826\pi$
$908$	6.69472	−	4.86400i	0.222172	−	0.161417i
$909$	14.3130	+	0.262527i	0.474733	+	0.00870746i
$910$	2.28333	+	0.741900i	0.0756918	+	0.0245938i
$911$	19.3486	−	26.6311i	0.641048	−	0.882327i	−0.357623	−	0.933866i	$-0.616413\pi$
$911$	19.3486	−	26.6311i	0.641048	−	0.882327i	0.998671	+	0.0515390i	$0.0164126\pi$
$912$	−1.57841	−	2.21492i	−0.0522662	−	0.0733433i
$913$	−20.7281	−	42.2327i	−0.685999	−	1.39770i
$914$		−	39.0364i		−	1.29121i
$915$	60.8814	+	0.558290i	2.01268	+	0.0184565i
$916$	−3.75546	+	11.5581i	−0.124084	+	0.381891i
$917$	−16.2914	+	5.29339i	−0.537989	+	0.174803i
$918$	17.5327	+	13.4904i	0.578666	+	0.445250i
$919$	−22.6716	−	31.2048i	−0.747867	−	1.02935i	−0.998127	−	0.0611717i	$-0.980516\pi$
$919$	−22.6716	−	31.2048i	−0.747867	−	1.02935i	0.250261	−	0.968179i	$-0.419484\pi$
$920$	−1.62030	−	4.98678i	−0.0534198	−	0.164409i
$921$	−18.5720	+	5.84667i	−0.611967	+	0.192654i
$922$	29.9934	+	21.7915i	0.987781	+	0.717665i
$923$	6.97318			0.229525
$924$	3.96277	+	4.15890i	0.130366	+	0.136818i
$925$	12.3667			0.406615
$926$	32.2385	+	23.4226i	1.05942	+	0.769715i
$927$	12.2701	+	9.26324i	0.403002	+	0.304245i
$928$	2.38864	+	7.35147i	0.0784109	+	0.241324i
$929$	16.0430	+	22.0813i	0.526353	+	0.724463i	0.986569	−	0.163344i	$-0.0522280\pi$
$929$	16.0430	+	22.0813i	0.526353	+	0.724463i	−0.460216	+	0.887807i	$0.652228\pi$
$930$	−7.53205	−	2.52390i	−0.246986	−	0.0827620i
$931$	−1.49341	+	0.485240i	−0.0489447	+	0.0159031i
$932$	2.77618	−	8.54420i	0.0909368	−	0.279875i
$933$	−0.0546851	+	5.96339i	−0.00179031	+	0.195233i
$934$		−	26.3745i		−	0.863001i
$935$	17.2879	−	32.7093i	0.565375	−	1.06971i
$936$	−2.59835	−	0.897262i	−0.0849298	−	0.0293279i
$937$	−5.87081	+	8.08048i	−0.191791	+	0.263978i	−0.894073	−	0.447921i	$-0.852165\pi$
$937$	−5.87081	+	8.08048i	−0.191791	+	0.263978i	0.702282	+	0.711899i	$0.252165\pi$
$938$	5.57718	+	1.81214i	0.182102	+	0.0591684i
$939$	−36.5447	−	27.0667i	−1.19259	−	0.883290i
$940$	−12.1237	+	8.80841i	−0.395433	+	0.287299i
$941$	−6.17279	+	4.48479i	−0.201227	+	0.146200i	−0.683836	−	0.729636i	$-0.739689\pi$
$941$	−6.17279	+	4.48479i	−0.201227	+	0.146200i	0.482608	+	0.875836i	$0.339689\pi$
$942$	−28.7162	−	21.2685i	−0.935623	−	0.692967i
$943$	8.79040	+	2.85617i	0.286255	+	0.0930098i
$944$	−0.135865	+	0.187003i	−0.00442204	+	0.00608642i
$945$	3.84940	+	13.0591i	0.125221	+	0.424812i
$946$	−27.4176	−	28.2512i	−0.891422	−	0.918525i
$947$		−	38.5374i		−	1.25230i	−0.779704	−	0.626148i	$-0.784631\pi$
$947$		−	38.5374i		−	1.25230i	0.779704	−	0.626148i	$-0.215369\pi$
$948$	−0.0449451	+	4.90125i	−0.00145975	+	0.159185i
$949$	4.05162	−	12.4696i	0.131521	−	0.404780i
$950$	−2.78537	+	0.905023i	−0.0903695	+	0.0293628i
$951$	42.5803	+	14.2681i	1.38076	+	0.462676i
$952$	−2.50244	−	3.44431i	−0.0811045	−	0.111631i
$953$	5.14328	+	15.8294i	0.166607	+	0.512764i	0.999151	−	0.0411948i	$-0.0131164\pi$
$953$	5.14328	+	15.8294i	0.166607	+	0.512764i	−0.832544	+	0.553959i	$0.813116\pi$
$954$	−19.6494	+	26.0276i	−0.636174	+	0.842676i
$955$	−17.0508	−	12.3881i	−0.551751	−	0.400870i
$956$	−9.59707			−0.310392
$957$	−19.1981	−	40.0397i	−0.620588	−	1.29430i
$958$	22.8913			0.739583
$959$	12.3960	+	9.00623i	0.400288	+	0.290826i
$960$	4.32877	−	1.36275i	0.139710	−	0.0439825i
$961$	−8.63273	−	26.5688i	−0.278475	−	0.857058i
$962$	−3.57116	−	4.91528i	−0.115139	−	0.158475i
$963$	0.289324	+	0.949344i	0.00932332	+	0.0305922i
$964$	−1.10970	+	0.360565i	−0.0357412	+	0.0116130i
$965$	13.6317	−	41.9541i	0.438821	−	1.35055i
$966$	3.46603	+	0.0317839i	0.111518	+	0.00102263i
$967$		−	22.9812i		−	0.739026i	−0.929226	−	0.369513i	$-0.879525\pi$
$967$		−	22.9812i		−	0.739026i	0.929226	−	0.369513i	$-0.120475\pi$
$968$	−6.72920	+	8.70160i	−0.216285	+	0.279680i
$969$	−6.71991	−	9.42980i	−0.215875	−	0.302929i
$970$	26.2261	−	36.0972i	0.842070	−	1.15901i
$971$	18.3182	+	5.95193i	0.587857	+	0.191006i	0.587818	−	0.808994i	$-0.299987\pi$
$971$	18.3182	+	5.95193i	0.587857	+	0.191006i	3.98952e−5		1.00000i	$0.499987\pi$
$972$	−4.13253	−	15.0307i	−0.132551	−	0.482110i
$973$	−6.58579	+	4.78486i	−0.211131	+	0.153395i
$974$	−14.2180	+	10.3300i	−0.455575	+	0.330994i
$975$	−1.76178	+	2.37870i	−0.0564221	+	0.0761794i
$976$	12.7592	+	4.14573i	0.408413	+	0.132701i
$977$	27.9940	−	38.5305i	0.895608	−	1.23270i	−0.0762392	−	0.997090i	$-0.524291\pi$
$977$	27.9940	−	38.5305i	0.895608	−	1.23270i	0.971848	−	0.235610i	$-0.0757087\pi$
$978$	15.6625	−	11.1615i	0.500831	−	0.356904i
$979$	−29.1357	−	5.06294i	−0.931181	−	0.161812i
$980$		−	2.62013i		−	0.0836971i
$981$	22.3590	+	31.9923i	0.713867	+	1.02143i
$982$	−2.36230	+	7.27043i	−0.0753842	+	0.232009i
$983$	−45.0741	+	14.6455i	−1.43764	+	0.467118i	−0.921161	−	0.389182i	$-0.872758\pi$
$983$	−45.0741	+	14.6455i	−1.43764	+	0.467118i	−0.516479	+	0.856300i	$0.672758\pi$
$984$	−2.54170	+	7.58517i	−0.0810264	+	0.241806i
$985$	4.84168	+	6.66400i	0.154269	+	0.212333i
$986$	10.1694	+	31.2982i	0.323860	+	0.996738i
$987$	−2.97473	−	9.44922i	−0.0946866	−	0.300772i
$988$	1.16405	+	0.845731i	0.0370333	+	0.0269063i
$989$	−23.7541			−0.755337
$990$	−23.6099	+	11.0553i	−0.750371	+	0.351360i
$991$	2.58100			0.0819882			0.0409941	−	0.999159i	$-0.486948\pi$
$991$	2.58100			0.0819882			0.0409941	+	0.999159i	$0.486948\pi$
$992$	−1.41610	−	1.02886i	−0.0449613	−	0.0326663i
$993$	0.643135	+	2.04292i	0.0204093	+	0.0648301i
$994$	−2.35165	−	7.23765i	−0.0745900	−	0.229564i
$995$	−9.46438	−	13.0266i	−0.300041	−	0.412971i
$996$	7.80605	−	23.2955i	0.247344	−	0.738146i
$997$	40.3948	−	13.1251i	1.27932	−	0.415675i	0.410977	−	0.911646i	$-0.365188\pi$
$997$	40.3948	−	13.1251i	1.27932	−	0.415675i	0.868339	+	0.495970i	$0.165188\pi$
$998$	−12.1296	+	37.3310i	−0.383955	+	1.18169i
$999$	11.5440	−	32.4619i	0.365235	−	1.02705i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.29.6	✓	48
3.2	odd	2		462.2.w.b.29.9	yes	48
11.8	odd	10		462.2.w.b.239.9	yes	48
33.8	even	10	inner	462.2.w.a.239.6	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.6	✓	48	1.1	even	1	trivial
462.2.w.a.239.6	yes	48	33.8	even	10	inner
462.2.w.b.29.9	yes	48	3.2	odd	2
462.2.w.b.239.9	yes	48	11.8	odd	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.520106 - 1.65212i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.54008 - 2.11973i) q^{5} +(-0.550316 + 1.64230i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.45898 + 1.71855i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(-0.520106 - 1.65212i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.54008 - 2.11973i) q^{5} +(-0.550316 + 1.64230i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-2.45898 + 1.71855i) q^{9} +2.62013i q^{10} +(0.567824 - 3.26766i) q^{11} +(1.41054 - 1.00518i) q^{12} +(-0.538590 + 0.741305i) q^{13} +(0.951057 + 0.309017i) q^{14} +(-2.70105 + 3.64687i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-3.44431 + 2.50244i) q^{17} +(2.99950 + 0.0550161i) q^{18} +(-1.49341 - 0.485240i) q^{19} +(1.54008 - 2.11973i) q^{20} +(1.00518 + 1.41054i) q^{21} +(-2.38006 + 2.30983i) q^{22} +2.00120i q^{23} +(-1.73198 - 0.0158825i) q^{24} +(-0.576349 + 1.77382i) q^{25} +(0.871457 - 0.283154i) q^{26} +(4.11818 + 3.16870i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(2.38864 + 7.35147i) q^{29} +(4.32877 - 1.36275i) q^{30} +(-1.41610 - 1.02886i) q^{31} +1.00000 q^{32} +(-5.69388 + 0.761414i) q^{33} +4.25740 q^{34} +(2.11973 + 1.54008i) q^{35} +(-2.39431 - 1.80757i) q^{36} +(-2.04896 - 6.30605i) q^{37} +(0.922980 + 1.27037i) q^{38} +(1.50485 + 0.504257i) q^{39} +(-2.49190 + 0.809666i) q^{40} +(1.42723 - 4.39257i) q^{41} +(0.0158825 - 1.73198i) q^{42} +11.8699i q^{43} +(3.28319 - 0.469729i) q^{44} +(7.42989 + 2.56568i) q^{45} +(1.17627 - 1.61900i) q^{46} +(-5.43953 - 1.76741i) q^{47} +(1.39186 + 1.03088i) q^{48} +(0.809017 - 0.587785i) q^{49} +(1.50890 - 1.09628i) q^{50} +(5.92573 + 4.38887i) q^{51} +(-0.871457 - 0.283154i) q^{52} +(-6.38961 + 8.79454i) q^{53} +(-1.46916 - 4.98413i) q^{54} +(-7.80105 + 3.82880i) q^{55} +1.00000i q^{56} +(-0.0249397 + 2.71967i) q^{57} +(2.38864 - 7.35147i) q^{58} +(0.219835 - 0.0714286i) q^{59} +(-4.30305 - 1.44190i) q^{60} +(-7.88564 - 10.8537i) q^{61} +(0.540903 + 1.66473i) q^{62} +(1.80757 - 2.39431i) q^{63} +(-0.809017 - 0.587785i) q^{64} +2.40084 q^{65} +(5.05399 + 2.73078i) q^{66} +5.86420 q^{67} +(-3.44431 - 2.50244i) q^{68} +(3.30621 - 1.04083i) q^{69} +(-0.809666 - 2.49190i) q^{70} +(-4.47311 - 6.15671i) q^{71} +(0.874572 + 2.86969i) q^{72} +(-13.6086 + 4.42169i) q^{73} +(-2.04896 + 6.30605i) q^{74} +(3.23032 + 0.0296225i) q^{75} -1.57027i q^{76} +(0.469729 + 3.28319i) q^{77} +(-0.921052 - 1.29248i) q^{78} +(-1.66335 + 2.28940i) q^{79} +(2.49190 + 0.809666i) q^{80} +(3.09317 - 8.45176i) q^{81} +(-3.73654 + 2.71476i) q^{82} +(11.4756 - 8.33754i) q^{83} +(-1.03088 + 1.39186i) q^{84} +(10.6090 + 3.44708i) q^{85} +(6.97698 - 9.60299i) q^{86} +(10.9032 - 7.76985i) q^{87} +(-2.93226 - 1.54979i) q^{88} -8.91639i q^{89} +(-4.50283 - 6.44286i) q^{90} +(0.283154 - 0.871457i) q^{91} +(-1.90325 + 0.618404i) q^{92} +(-0.963272 + 2.87468i) q^{93} +(3.36182 + 4.62714i) q^{94} +(1.27139 + 3.91295i) q^{95} +(-0.520106 - 1.65212i) q^{96} +(-13.7768 - 10.0095i) q^{97} -1.00000 q^{98} +(4.21936 + 9.01094i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

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