LMFDB - Embedded newform 462.2.w.a.239.6

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			239.6
Character	$\chi$	$=$	462.239
Dual form			462.2.w.a.29.6

$q$-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 $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{3}{10}\right)$

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	−0.999997	−	0.00235312i	$-0.999251\pi$
$5$	−1.54008	+	2.11973i	−0.688743	+	0.947974i	0.311254	+	0.950327i	$0.399251\pi$
$6$	−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	0.727770	−	0.685821i	$-0.240557\pi$
$13$	−0.538590	−	0.741305i	−0.149378	−	0.205601i	−0.877148	+	0.480220i	$0.840557\pi$
$14$	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	0.0857046	−	0.996321i	$-0.472686\pi$
$17$	−3.44431	−	2.50244i	−0.835368	−	0.606931i	−0.921073	+	0.389390i	$0.872686\pi$
$18$	2.99950	−	0.0550161i	0.706988	−	0.0129674i
$19$	−1.49341	+	0.485240i	−0.342613	+	0.111322i	−0.475269	−	0.879840i	$-0.657649\pi$
$19$	−1.49341	+	0.485240i	−0.342613	+	0.111322i	0.132656	+	0.991162i	$0.457649\pi$
$20$	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	$-0.933097\pi$
$23$		−	2.00120i		−	0.417278i	0.977993	−	0.208639i	$-0.0669034\pi$
$24$	−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	−0.440497	−	0.897754i	$-0.645198\pi$
$29$	2.38864	−	7.35147i	0.443559	−	1.36513i	0.884056	−	0.467380i	$-0.154802\pi$
$30$	4.32877	+	1.36275i	0.790321	+	0.248802i
$31$	−1.41610	+	1.02886i	−0.254340	+	0.184788i	−0.707648	−	0.706565i	$-0.750244\pi$
$31$	−1.41610	+	1.02886i	−0.254340	+	0.184788i	0.453308	+	0.891354i	$0.350244\pi$
$32$	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	0.628958	+	0.777439i	$0.283482\pi$
$37$	−2.04896	+	6.30605i	−0.336847	+	1.03671i	−0.965805	+	0.259269i	$0.916518\pi$
$38$	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	0.998498	+	0.0547820i	$0.0174464\pi$
$41$	1.42723	+	4.39257i	0.222896	+	0.686004i	−0.775602	+	0.631222i	$0.782554\pi$
$42$	0.0158825	+	1.73198i	0.00245072	+	0.267250i
$43$		−	11.8699i		−	1.81015i	−0.425252	−	0.905075i	$-0.639815\pi$
$43$		−	11.8699i		−	1.81015i	0.425252	−	0.905075i	$-0.360185\pi$
$44$	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	−0.677567	−	0.735461i	$-0.736966\pi$
$47$	−5.43953	+	1.76741i	−0.793438	+	0.257804i	−0.115870	+	0.993264i	$0.536966\pi$
$48$	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	−0.977058	−	0.212973i	$-0.931685\pi$
$53$	−6.38961	−	8.79454i	−0.877680	−	1.20802i	0.0993783	−	0.995050i	$-0.468315\pi$
$54$	−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	0.323292	−	0.946299i	$-0.395210\pi$
$59$	0.219835	+	0.0714286i	0.0286200	+	0.00929922i	−0.294672	+	0.955598i	$0.595210\pi$
$60$	−4.30305	+	1.44190i	−0.555521	+	0.186149i
$61$	−7.88564	+	10.8537i	−1.00965	+	1.38967i	−0.0904424	+	0.995902i	$0.528828\pi$
$61$	−7.88564	+	10.8537i	−1.00965	+	1.38967i	−0.919211	+	0.393766i	$0.871172\pi$
$62$	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	−0.987261	−	0.159107i	$-0.949138\pi$
$71$	−4.47311	+	6.15671i	−0.530861	+	0.730667i	0.456400	+	0.889775i	$0.349138\pi$
$72$	0.874572	−	2.86969i	0.103069	−	0.338196i
$73$	−13.6086	−	4.42169i	−1.59276	−	0.517520i	−0.627460	−	0.778649i	$-0.715905\pi$
$73$	−13.6086	−	4.42169i	−1.59276	−	0.517520i	−0.965304	+	0.261129i	$0.915905\pi$
$74$	−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	0.705129	−	0.709079i	$-0.250889\pi$
$79$	−1.66335	−	2.28940i	−0.187141	−	0.257578i	−0.892271	+	0.451501i	$0.850889\pi$
$80$	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	0.998739	−	0.0502085i	$-0.0159886\pi$
$83$	11.4756	+	8.33754i	1.25961	+	0.915164i	0.260876	+	0.965372i	$0.415989\pi$
$84$	−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	$0.156673\pi$
$89$			8.91639i			0.945136i	−0.881294	+	0.472568i	$0.843327\pi$
$90$	−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	−0.403995	+	0.914761i	$0.632379\pi$
$97$	−13.7768	+	10.0095i	−1.39883	+	1.01631i	−0.994831	+	0.101545i	$0.967621\pi$
$98$	−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	−0.763047	−	0.646344i	$-0.776297\pi$
$101$	−3.86048	+	2.80480i	−0.384132	+	0.279088i	0.378915	+	0.925432i	$0.376297\pi$
$102$	−2.21430	+	7.03373i	−0.219248	+	0.696443i
$103$	−1.58362	+	4.87388i	−0.156039	+	0.480237i	−0.998265	−	0.0588872i	$-0.981245\pi$
$103$	−1.58362	+	4.87388i	−0.156039	+	0.480237i	0.842226	+	0.539124i	$0.181245\pi$
$104$	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	0.955876	−	0.293769i	$-0.0949098\pi$
$107$	0.102228	+	0.314626i	0.00988278	+	0.0304161i	−0.945994	+	0.324186i	$0.894910\pi$
$108$	−1.74102	−	4.89580i	−0.167530	−	0.471098i
$109$			13.0104i			1.24617i	0.782155	+	0.623084i	$0.214120\pi$
$109$			13.0104i			1.24617i	−0.782155	+	0.623084i	$0.785880\pi$
$110$	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	−0.729962	−	0.683487i	$-0.760462\pi$
$113$	−9.76666	+	3.17338i	−0.918771	+	0.298527i	−0.188808	+	0.982014i	$0.560462\pi$
$114$	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	−0.903087	−	0.429458i	$-0.858704\pi$
$127$	−2.42944	+	3.34384i	−0.215578	+	0.296718i	0.687508	+	0.726176i	$0.258704\pi$
$128$	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	0.226914	+	0.973915i	$0.427136\pi$
$137$	−9.00623	+	12.3960i	−0.769454	+	1.05906i	−0.996368	+	0.0851478i	$0.972864\pi$
$138$	−3.28657	+	1.10129i	−0.279771	+	0.0937481i
$139$	7.74206	+	2.51555i	0.656673	+	0.213366i	0.618354	−	0.785900i	$-0.287800\pi$
$139$	7.74206	+	2.51555i	0.656673	+	0.213366i	0.0383188	+	0.999266i	$0.487800\pi$
$140$	−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	0.381019	−	0.924567i	$-0.375573\pi$
$149$	−4.64528	−	3.37499i	−0.380556	−	0.276490i	−0.761575	+	0.648077i	$0.775573\pi$
$150$	−2.59597	+	1.92270i	−0.211960	+	0.156988i
$151$	15.0143	−	4.87845i	1.22185	−	0.397003i	0.374094	−	0.927391i	$-0.377954\pi$
$151$	15.0143	−	4.87845i	1.22185	−	0.397003i	0.847755	+	0.530388i	$0.177954\pi$
$152$	−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	−0.794256	−	0.607583i	$-0.792139\pi$
$157$	−6.37547	−	19.6217i	−0.508818	−	1.56598i	0.285439	−	0.958397i	$-0.407861\pi$
$158$	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	−0.881110	−	0.472911i	$-0.843203\pi$
$163$	−8.98326	+	6.52672i	−0.703623	+	0.511212i	0.177487	+	0.984123i	$0.443203\pi$
$164$	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	−0.579109	−	0.815250i	$-0.696599\pi$
$167$	0.223384	−	0.162298i	0.0172860	−	0.0125590i	0.596395	+	0.802691i	$0.296599\pi$
$168$	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	0.928256	−	0.371942i	$-0.121308\pi$
$173$	−0.543756	−	1.67351i	−0.0413410	−	0.127234i	−0.969597	+	0.244708i	$0.921308\pi$
$174$	−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	−0.719263	−	0.694737i	$-0.755521\pi$
$179$	−11.9449	+	3.88113i	−0.892803	+	0.290089i	−0.173540	+	0.984827i	$0.555521\pi$
$180$	−0.144150	−	7.85908i	−0.0107443	−	0.585781i
$181$	3.77538	+	2.74297i	0.280621	+	0.203883i	0.719188	−	0.694815i	$-0.244514\pi$
$181$	3.77538	+	2.74297i	0.280621	+	0.203883i	−0.438567	+	0.898699i	$0.644514\pi$
$182$	−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	0.572415	−	0.819964i	$-0.306007\pi$
$191$	7.65015	+	2.48568i	0.553545	+	0.179858i	−0.0188696	+	0.999822i	$0.506007\pi$
$192$	−0.550316	−	1.64230i	−0.0397156	−	0.118523i
$193$	9.89609	−	13.6208i	0.712336	−	0.980446i	−0.287408	−	0.957808i	$-0.592794\pi$
$193$	9.89609	−	13.6208i	0.712336	−	0.980446i	0.999744	−	0.0226379i	$-0.00720648\pi$
$194$	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	0.846414	−	0.532525i	$-0.178757\pi$
$211$	1.13878	+	1.56739i	0.0783965	+	0.107904i	−0.768018	+	0.640429i	$0.778757\pi$
$212$	−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	−0.833449	−	0.552597i	$-0.813637\pi$
$223$	−7.22741	−	22.2437i	−0.483983	−	1.48955i	0.349466	−	0.936949i	$-0.386363\pi$
$224$	−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	−0.999353	−	0.0359573i	$-0.988552\pi$
$227$	−2.55715	+	7.87011i	−0.169724	+	0.522358i	0.829629	+	0.558315i	$0.188552\pi$
$228$	−2.59427	−	0.816705i	−0.171809	−	0.0540876i
$229$	9.83193	−	7.14331i	0.649712	−	0.472043i	−0.213461	−	0.976952i	$-0.568474\pi$
$229$	9.83193	−	7.14331i	0.649712	−	0.472043i	0.863173	+	0.504908i	$0.168474\pi$
$230$	−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	−0.799834	−	0.600222i	$-0.795079\pi$
$233$	−7.26813	+	5.28061i	−0.476151	+	0.345944i	0.323682	+	0.946166i	$0.395079\pi$
$234$	−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	−0.999999	−	0.00144564i	$-0.999540\pi$
$239$	−2.96566	−	9.12736i	−0.191833	−	0.590400i	0.808166	−	0.588954i	$-0.200460\pi$
$240$	0.0416142	+	4.53802i	0.00268618	+	0.292928i
$241$		−	1.16681i		−	0.0751610i	−0.999294	−	0.0375805i	$-0.988035\pi$
$241$		−	1.16681i		−	0.0751610i	0.999294	−	0.0375805i	$-0.0119651\pi$
$242$	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	0.597253	−	0.802053i	$-0.296259\pi$
$251$	−5.54672	−	7.63441i	−0.350106	−	0.481879i	−0.947359	+	0.320173i	$0.896259\pi$
$252$	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	0.361239	−	0.932473i	$-0.382354\pi$
$257$	1.68958	+	0.548979i	0.105393	+	0.0342444i	−0.255846	+	0.966718i	$0.582354\pi$
$258$	−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	−0.993694	−	0.112122i	$-0.964235\pi$
$269$	−9.51258	+	13.0929i	−0.579992	+	0.798291i	0.413702	+	0.910412i	$0.364235\pi$
$270$	−8.30241	−	10.7902i	−0.505269	−	0.656669i
$271$	−23.3334	−	7.58148i	−1.41740	−	0.460542i	−0.502627	−	0.864503i	$-0.667633\pi$
$271$	−23.3334	−	7.58148i	−1.41740	−	0.460542i	−0.914776	+	0.403961i	$0.867633\pi$
$272$	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	0.975940	−	0.218039i	$-0.0699662\pi$
$277$	7.77226	+	10.6976i	0.466990	+	0.642757i	−0.508950	+	0.860796i	$0.669966\pi$
$278$	−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	0.947707	−	0.319141i	$-0.103394\pi$
$281$	15.7077	+	11.4123i	0.937043	+	0.680802i	−0.0106637	+	0.999943i	$0.503394\pi$
$282$	5.89608	+	7.96072i	0.351107	+	0.474054i
$283$	2.14218	−	0.696036i	0.127339	−	0.0413750i	−0.244654	−	0.969610i	$-0.578674\pi$
$283$	2.14218	−	0.696036i	0.127339	−	0.0413750i	0.371993	+	0.928235i	$0.378674\pi$
$284$	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	−0.849241	−	0.528005i	$-0.822940\pi$
$293$	2.53614	−	7.80544i	0.148163	−	0.455998i	0.997404	+	0.0720065i	$0.0229402\pi$
$294$	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	$0.103948\pi$
$307$			11.2413i			0.641576i	−0.947151	+	0.320788i	$0.896052\pi$
$308$	−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	−0.400384	−	0.916348i	$-0.631123\pi$
$311$	−3.27459	+	1.06398i	−0.185685	+	0.0603328i	0.214698	+	0.976680i	$0.431123\pi$
$312$	0.944600	+	1.27537i	0.0534774	+	0.0722036i
$313$	21.2415	+	15.4329i	1.20064	+	0.872317i	0.994348	−	0.106174i	$-0.0338599\pi$
$313$	21.2415	+	15.4329i	1.20064	+	0.872317i	0.206293	+	0.978490i	$0.433860\pi$
$314$	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	−0.982522	−	0.186148i	$-0.940400\pi$
$317$	−15.2396	−	20.9755i	−0.855943	−	1.17810i	0.126579	−	0.991957i	$-0.459600\pi$
$318$	−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	0.883388	−	0.468643i	$-0.155257\pi$
$337$	24.2797	+	7.88897i	1.32260	+	0.429739i	0.439214	+	0.898382i	$0.355257\pi$
$338$	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	0.929747	+	0.368199i	$0.120025\pi$
$347$	29.1943	+	21.2109i	1.56723	+	1.13866i	0.637485	+	0.770462i	$0.279975\pi$
$348$	10.7588	−	7.96850i	0.576734	−	0.427156i
$349$	14.9151	−	4.84621i	0.798387	−	0.259412i	0.118715	−	0.992928i	$-0.462122\pi$
$349$	14.9151	−	4.84621i	0.798387	−	0.259412i	0.679671	+	0.733517i	$0.262122\pi$
$350$	−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	$0.334107\pi$
$353$			32.5879i			1.73448i	−0.497893	+	0.867239i	$0.665893\pi$
$354$	−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	−0.274873	−	0.961480i	$-0.588636\pi$
$359$	9.71329	−	29.8944i	0.512648	−	1.57777i	0.787521	−	0.616288i	$-0.211364\pi$
$360$	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	−0.928325	−	0.371770i	$-0.878751\pi$
$367$	0.789783	−	2.43070i	0.0412263	−	0.126882i	0.969551	+	0.244888i	$0.0787512\pi$
$368$	−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	$-0.969773\pi$
$373$		−	3.66251i		−	0.189638i	0.995495	−	0.0948189i	$-0.0302272\pi$
$374$	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	0.973366	−	0.229255i	$-0.0736289\pi$
$379$	20.5604	+	14.9380i	1.05612	+	0.767315i	0.0827525	+	0.996570i	$0.473629\pi$
$380$	−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	0.998640	+	0.0521386i	$0.0166038\pi$
$383$	14.4748	+	19.9229i	0.739630	+	1.01801i	−0.259010	+	0.965875i	$0.583396\pi$
$384$	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	0.956499	−	0.291736i	$-0.0942328\pi$
$389$	30.7452	+	9.98973i	1.55884	+	0.506499i	0.602346	+	0.798235i	$0.294233\pi$
$390$	−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	−0.750657	−	0.660692i	$-0.770263\pi$
$401$	2.19603	−	3.02257i	0.109664	−	0.150940i	0.860321	+	0.509752i	$0.170263\pi$
$402$	−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	0.635546	−	0.772063i	$-0.280775\pi$
$409$	−5.96852	−	8.21496i	−0.295124	−	0.406203i	−0.930670	+	0.365860i	$0.880775\pi$
$410$	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	$-0.942380\pi$
$419$		−	7.37033i		−	0.360064i	0.983661	−	0.180032i	$-0.0576202\pi$
$420$	4.53802	−	0.0416142i	0.221432	−	0.00203056i
$421$	6.16436	+	18.9720i	0.300433	+	0.924637i	0.981342	+	0.192269i	$0.0615847\pi$
$421$	6.16436	+	18.9720i	0.300433	+	0.924637i	−0.680910	+	0.732367i	$0.738415\pi$
$422$	−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	−0.421846	+	0.906668i	$0.638618\pi$
$431$	−29.3657	+	21.3354i	−1.41450	+	1.02769i	−0.992650	+	0.121024i	$0.961382\pi$
$432$	−5.19419	+	0.142926i	−0.249905	+	0.00687654i
$433$	−11.6849	+	35.9624i	−0.561540	+	1.72824i	0.116474	+	0.993194i	$0.462841\pi$
$433$	−11.6849	+	35.9624i	−0.561540	+	1.72824i	−0.678014	+	0.735049i	$0.737159\pi$
$434$	−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	$0.00526564\pi$
$439$			0.693175i			0.0330835i	−0.999863	+	0.0165417i	$0.994734\pi$
$440$	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	0.0212664	−	0.999774i	$-0.493230\pi$
$443$	13.1784	−	4.28191i	0.626124	−	0.203440i	0.604857	+	0.796334i	$0.293230\pi$
$444$	−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	0.909083	−	0.416614i	$-0.136783\pi$
$449$	4.91467	+	6.76447i	0.231938	+	0.319235i	−0.677146	+	0.735849i	$0.736783\pi$
$450$	−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	0.206659	−	0.978413i	$-0.433741\pi$
$457$	22.9450	−	31.5811i	1.07332	−	1.47730i	0.866665	−	0.498890i	$-0.166259\pi$
$458$	−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	−0.282234	−	0.959346i	$-0.591075\pi$
$467$	15.5026	−	21.3375i	0.717373	−	0.987379i	0.999607	−	0.0280338i	$-0.00892461\pi$
$468$	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	0.0779148	−	0.996960i	$-0.475174\pi$
$479$	−18.5194	−	13.4551i	−0.846174	−	0.614781i	−0.924088	+	0.382179i	$0.875174\pi$
$480$	−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	0.995455	+	0.0952356i	$0.0303604\pi$
$487$	5.43080	+	16.7143i	0.246093	+	0.757396i	−0.749362	+	0.662161i	$0.769640\pi$
$488$	−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	−0.990105	−	0.140330i	$-0.955184\pi$
$491$	−2.36230	+	7.27043i	−0.106609	+	0.328110i	0.883495	+	0.468440i	$0.155184\pi$
$492$	−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	0.182716	+	0.983166i	$0.441511\pi$
$499$	−12.1296	+	37.3310i	−0.542995	+	1.67117i	−0.725711	+	0.688000i	$0.758489\pi$
$500$	−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	0.993720	+	0.111898i	$0.0356930\pi$
$503$	5.73151	+	17.6398i	0.255556	+	0.786519i	−0.738164	+	0.674621i	$0.764307\pi$
$504$	−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	−0.265659	−	0.964067i	$-0.585590\pi$
$509$	1.94210	−	0.631026i	0.0860821	−	0.0279698i	0.351741	+	0.936097i	$0.385590\pi$
$510$	−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	0.991978	−	0.126413i	$-0.0403465\pi$
$521$	39.2643	+	12.7577i	1.72020	+	0.558927i	0.728223	+	0.685340i	$0.240347\pi$
$522$	6.76026	−	22.1821i	0.295889	−	0.970885i
$523$	2.41673	−	3.32635i	0.105676	−	0.145451i	−0.752903	−	0.658131i	$-0.771347\pi$
$523$	2.41673	−	3.32635i	0.105676	−	0.145451i	0.858580	+	0.512680i	$0.171347\pi$
$524$	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	−0.980194	−	0.198041i	$-0.936542\pi$
$541$	−20.1344	−	27.7126i	−0.865646	−	1.19146i	0.114548	−	0.993418i	$-0.463458\pi$
$542$	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	−0.383366	−	0.923596i	$-0.625235\pi$
$547$	−3.52316	+	1.14474i	−0.150639	+	0.0489457i	0.232727	+	0.972542i	$0.425235\pi$
$548$	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	−0.799496	−	0.600671i	$-0.794900\pi$
$557$	4.72903	−	14.5545i	0.200375	−	0.616692i	0.999872	−	0.0160210i	$-0.00509988\pi$
$558$	−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	−0.262449	−	0.964946i	$-0.584530\pi$
$563$	13.6236	−	9.89816i	0.574168	−	0.417158i	0.836617	+	0.547788i	$0.184530\pi$
$564$	−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	−0.949346	−	0.314234i	$-0.898252\pi$
$569$	−8.73073	−	26.8704i	−0.366011	−	1.12647i	0.583334	−	0.812232i	$-0.301748\pi$
$570$	−7.12590	+	0.0653454i	−0.298471	+	0.00273702i
$571$			29.7432i			1.24472i	0.782733	+	0.622358i	$0.213825\pi$
$571$			29.7432i			1.24472i	−0.782733	+	0.622358i	$0.786175\pi$
$572$	−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	−0.989932	−	0.141542i	$-0.954794\pi$
$577$	−34.3606	−	24.9645i	−1.43045	−	1.03928i	−0.440520	−	0.897743i	$-0.645206\pi$
$578$	−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	0.484420	−	0.874836i	$-0.339031\pi$
$587$	8.77320	+	2.85058i	0.362109	+	0.117656i	−0.122311	+	0.992492i	$0.539031\pi$
$588$	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	−0.737713	−	0.675115i	$-0.764094\pi$
$599$	3.23859	−	4.45754i	0.132325	−	0.182130i	0.870038	+	0.492985i	$0.164094\pi$
$600$	1.02640	+	3.06306i	0.0419025	+	0.125049i
$601$	−7.29963	−	2.37179i	−0.297758	−	0.0967474i	0.156328	−	0.987705i	$-0.450034\pi$
$601$	−7.29963	−	2.37179i	−0.297758	−	0.0967474i	−0.454086	+	0.890958i	$0.650034\pi$
$602$	−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	0.399232	−	0.916850i	$-0.369277\pi$
$607$	−14.6867	−	20.2145i	−0.596113	−	0.820479i	−0.995346	+	0.0963704i	$0.969277\pi$
$608$	−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	−0.499288	−	0.866436i	$-0.666405\pi$
$613$	−9.75352	+	3.16911i	−0.393941	+	0.127999i	0.105346	+	0.994436i	$0.466405\pi$
$614$	−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	$-0.917128\pi$
$617$		−	12.7883i		−	0.514836i	0.966300	−	0.257418i	$-0.0828718\pi$
$618$	8.87586	−	0.0813928i	0.357039	−	0.00327410i
$619$	−1.70064	−	5.23402i	−0.0683544	−	0.210373i	0.911045	−	0.412308i	$-0.135277\pi$
$619$	−1.70064	−	5.23402i	−0.0683544	−	0.210373i	−0.979399	+	0.201935i	$0.935277\pi$
$620$	−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	0.435872	+	0.900009i	$0.356440\pi$
$631$	−11.1976	+	34.4626i	−0.445768	+	1.37193i	−0.881639	+	0.471924i	$0.843560\pi$
$632$	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	−0.999109	−	0.0421975i	$-0.986564\pi$
$641$	−45.1319	+	14.6642i	−1.78260	+	0.579203i	−0.783493	+	0.621400i	$0.786564\pi$
$642$	0.460453	−	0.341033i	0.0181726	−	0.0134595i
$643$	18.5666	+	13.4894i	0.732196	+	0.531971i	0.890257	−	0.455458i	$-0.150524\pi$
$643$	18.5666	+	13.4894i	0.732196	+	0.531971i	−0.158062	+	0.987429i	$0.550524\pi$
$644$	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	0.953785	−	0.300490i	$-0.0971502\pi$
$647$	9.49447	+	13.0680i	0.373266	+	0.513757i	−0.580519	+	0.814247i	$0.697150\pi$
$648$	−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	0.988361	−	0.152129i	$-0.0486130\pi$
$653$	43.4043	+	14.1029i	1.69854	+	0.551890i	0.710181	+	0.704019i	$0.248613\pi$
$654$	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	0.585321	−	0.810802i	$-0.300968\pi$
$673$	−9.51228	−	13.0925i	−0.366671	−	0.504680i	−0.951992	+	0.306122i	$0.900968\pi$
$674$	−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	0.138501	−	0.990362i	$-0.455772\pi$
$677$	−19.7900	−	14.3783i	−0.760590	−	0.552601i	−0.899091	+	0.437761i	$0.855772\pi$
$678$	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	$0.0141581\pi$
$683$			2.32409i			0.0889288i	−0.999011	+	0.0444644i	$0.985842\pi$
$684$	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	−0.0533663	−	0.998575i	$-0.516995\pi$
$691$	23.1283	−	16.8037i	0.879844	−	0.639244i	0.933210	+	0.359331i	$0.116995\pi$
$692$	−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	0.913178	−	0.407562i	$-0.133621\pi$
$701$	−1.72514	−	5.30943i	−0.0651575	−	0.200534i	−0.978335	+	0.207028i	$0.933621\pi$
$702$	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	0.605770	−	0.795640i	$-0.292865\pi$
$709$	0.965624	+	0.701567i	0.0362648	+	0.0263479i	−0.569505	+	0.821988i	$0.692865\pi$
$710$	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	−0.493393	−	0.869806i	$-0.664244\pi$
$719$	−37.6422	−	12.2307i	−1.40382	−	0.456127i	−0.910423	+	0.413679i	$0.864244\pi$
$720$	−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	−0.398931	−	0.916981i	$-0.630619\pi$
$733$	−34.1311	−	11.0899i	−1.26066	−	0.409613i	−0.861730	+	0.507368i	$0.830619\pi$
$734$	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	0.937744	−	0.347327i	$-0.112910\pi$
$739$	8.63485	+	11.8849i	0.317638	+	0.437191i	−0.620106	+	0.784518i	$0.712910\pi$
$740$	−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	0.943768	−	0.330608i	$-0.107254\pi$
$743$	25.1042	+	18.2392i	0.920982	+	0.669133i	−0.0227861	+	0.999740i	$0.507254\pi$
$744$	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	−0.951889	−	0.306444i	$-0.900861\pi$
$751$	−9.91813	−	30.5249i	−0.361918	−	1.11387i	0.589971	−	0.807424i	$-0.299139\pi$
$752$	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	−0.939434	−	0.342729i	$-0.888649\pi$
$757$	−24.8663	+	18.0664i	−0.903781	+	0.656635i	0.0356534	+	0.999364i	$0.488649\pi$
$758$	−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	−0.801567	−	0.597905i	$-0.796000\pi$
$761$	−13.2586	+	9.63293i	−0.480624	+	0.349193i	0.320943	+	0.947098i	$0.396000\pi$
$762$	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	$0.206496\pi$
$769$			33.5084i			1.20834i	−0.796854	+	0.604172i	$0.793504\pi$
$770$	−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	0.340094	−	0.940391i	$-0.389541\pi$
$773$	32.4733	−	10.5512i	1.16798	−	0.379501i	0.827890	+	0.560890i	$0.189541\pi$
$774$	−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	−0.999991	−	0.00421634i	$-0.998658\pi$
$787$	−19.2718	+	26.5254i	−0.686967	+	0.945529i	0.313024	+	0.949745i	$0.398658\pi$
$788$	−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	−0.864701	−	0.502286i	$-0.832492\pi$
$797$	−3.38186	+	4.65473i	−0.119792	+	0.164879i	0.744910	+	0.667165i	$0.232492\pi$
$798$	−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	0.276631	−	0.960976i	$-0.410782\pi$
$809$	−15.6956	−	11.4035i	−0.551828	−	0.400927i	−0.828459	+	0.560050i	$0.810782\pi$
$810$	22.1448	−	8.10452i	0.778087	−	0.284764i
$811$	47.5016	−	15.4342i	1.66801	−	0.541968i	0.685480	−	0.728092i	$-0.259593\pi$
$811$	47.5016	−	15.4342i	1.66801	−	0.541968i	0.982526	+	0.186124i	$0.0595926\pi$
$812$	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	0.590332	+	0.807161i	$0.298997\pi$
$821$	−10.3637	+	31.8960i	−0.361694	+	1.11318i	−0.952025	+	0.306019i	$0.901003\pi$
$822$	25.3142	+	7.96922i	0.882936	+	0.277958i
$823$	20.7324	−	15.0629i	0.722685	−	0.525061i	−0.164556	−	0.986368i	$-0.552619\pi$
$823$	20.7324	−	15.0629i	0.722685	−	0.525061i	0.887241	+	0.461306i	$0.152619\pi$
$824$	−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	−0.209287	−	0.977854i	$-0.567114\pi$
$827$	18.8660	−	13.7069i	0.656034	−	0.476636i	0.865321	+	0.501218i	$0.167114\pi$
$828$	3.61730	+	4.79148i	0.125710	+	0.166515i
$829$	−1.49661	+	4.60610i	−0.0519795	+	0.159976i	−0.973677	−	0.227934i	$-0.926803\pi$
$829$	−1.49661	+	4.60610i	−0.0519795	+	0.159976i	0.921697	+	0.387910i	$0.126803\pi$
$830$	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	0.466822	−	0.884351i	$-0.345399\pi$
$839$	39.5176	−	12.8400i	1.36430	−	0.443287i	0.897476	+	0.441064i	$0.145399\pi$
$840$	−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	−0.866565	−	0.499065i	$-0.833677\pi$
$853$	−3.62573	+	4.99038i	−0.124143	+	0.170867i	0.742422	+	0.669932i	$0.233677\pi$
$854$	−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	−0.969486	−	0.245146i	$-0.921164\pi$
$863$	−12.8304	+	17.6595i	−0.436750	+	0.601135i	0.532736	+	0.846282i	$0.321164\pi$
$864$	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	−0.748523	−	0.663109i	$-0.769237\pi$
$877$	−28.5577	+	9.27896i	−0.964325	+	0.313328i	−0.215802	+	0.976437i	$0.569237\pi$
$878$	−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	$-0.926259\pi$
$881$		−	13.6297i		−	0.459196i	0.973286	−	0.229598i	$-0.0737411\pi$
$882$	2.45898	+	1.71855i	0.0827982	+	0.0578666i
$883$	11.8546	+	36.4848i	0.398940	+	1.22781i	0.925851	+	0.377889i	$0.123350\pi$
$883$	11.8546	+	36.4848i	0.398940	+	1.22781i	−0.526911	+	0.849920i	$0.676650\pi$
$884$	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	−0.999923	−	0.0124113i	$-0.996049\pi$
$887$	−5.47025	+	16.8357i	−0.183673	+	0.565288i	0.816250	+	0.577699i	$0.196049\pi$
$888$	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	−0.981590	−	0.191002i	$-0.938826\pi$
$907$	−44.1679	−	32.0899i	−1.46657	−	1.06553i	−0.484982	−	0.874524i	$-0.661174\pi$
$908$	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	0.998671	−	0.0515390i	$-0.0164126\pi$
$911$	19.3486	+	26.6311i	0.641048	+	0.882327i	−0.357623	+	0.933866i	$0.616413\pi$
$912$	−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	0.250261	+	0.968179i	$0.419484\pi$
$919$	−22.6716	+	31.2048i	−0.747867	+	1.02935i	−0.998127	+	0.0611717i	$0.980516\pi$
$920$	−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	−0.460216	−	0.887807i	$-0.652228\pi$
$929$	16.0430	−	22.0813i	0.526353	−	0.724463i	0.986569	+	0.163344i	$0.0522280\pi$
$930$	−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	0.702282	−	0.711899i	$-0.252165\pi$
$937$	−5.87081	−	8.08048i	−0.191791	−	0.263978i	−0.894073	+	0.447921i	$0.852165\pi$
$938$	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	0.482608	−	0.875836i	$-0.339689\pi$
$941$	−6.17279	−	4.48479i	−0.201227	−	0.146200i	−0.683836	+	0.729636i	$0.739689\pi$
$942$	−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	$0.215369\pi$
$947$			38.5374i			1.25230i	−0.779704	+	0.626148i	$0.784631\pi$
$948$	−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	−0.832544	−	0.553959i	$-0.813116\pi$
$953$	5.14328	−	15.8294i	0.166607	−	0.512764i	0.999151	+	0.0411948i	$0.0131164\pi$
$954$	−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	$0.120475\pi$
$967$			22.9812i			0.739026i	−0.929226	+	0.369513i	$0.879525\pi$
$968$	−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	3.98952e−5	−	1.00000i	$-0.499987\pi$
$971$	18.3182	−	5.95193i	0.587857	−	0.191006i	0.587818	+	0.808994i	$0.299987\pi$
$972$	−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	0.971848	+	0.235610i	$0.0757087\pi$
$977$	27.9940	+	38.5305i	0.895608	+	1.23270i	−0.0762392	+	0.997090i	$0.524291\pi$
$978$	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	−0.516479	−	0.856300i	$-0.672758\pi$
$983$	−45.0741	−	14.6455i	−1.43764	−	0.467118i	−0.921161	+	0.389182i	$0.872758\pi$
$984$	−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	0.868339	−	0.495970i	$-0.165188\pi$
$997$	40.3948	+	13.1251i	1.27932	+	0.415675i	0.410977	+	0.911646i	$0.365188\pi$
$998$	−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.239.6	yes	48
3.2	odd	2		462.2.w.b.239.9	yes	48
11.7	odd	10		462.2.w.b.29.9	yes	48
33.29	even	10	inner	462.2.w.a.29.6	✓	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.6	✓	48	33.29	even	10	inner
462.2.w.a.239.6	yes	48	1.1	even	1	trivial
462.2.w.b.29.9	yes	48	11.7	odd	10
462.2.w.b.239.9	yes	48	3.2	odd	2

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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