LMFDB - Embedded newform 266.2.u.d.43.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [266,2,Mod(43,266)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(266, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 16]))

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

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

chi := DirichletCharacter("266.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 266 = 2 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	266.u (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.12402069377$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			43.1
Character	$\chi$	$=$	266.43
Dual form			266.2.u.d.99.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-0.557269 + 3.16043i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.10162 + 1.76347i) q^{5} +(0.557269 + 3.16043i) q^{6} +(-0.500000 - 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.85870 - 2.49636i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-0.557269 + 3.16043i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.10162 + 1.76347i) q^{5} +(0.557269 + 3.16043i) q^{6} +(-0.500000 - 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.85870 - 2.49636i) q^{9} +(2.57802 + 0.938324i) q^{10} +(1.99320 - 3.45232i) q^{11} +(1.60459 + 2.77924i) q^{12} +(0.806078 + 4.57149i) q^{13} +(-0.766044 - 0.642788i) q^{14} +(-6.74450 + 5.65931i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-4.90965 + 1.78697i) q^{17} -7.29887 q^{18} +(0.0418625 - 4.35870i) q^{19} +2.74348 q^{20} +(3.01565 - 1.09761i) q^{21} +(0.692229 - 3.92583i) q^{22} +(0.398698 - 0.334548i) q^{23} +(2.45838 + 2.06282i) q^{24} +(0.438749 + 2.48827i) q^{25} +(2.32101 + 4.02010i) q^{26} +(6.89794 - 11.9476i) q^{27} +(-0.939693 - 0.342020i) q^{28} +(5.48426 + 1.99611i) q^{29} +(-4.40216 + 7.62477i) q^{30} +(-0.692488 - 1.19942i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(9.80006 + 8.22323i) q^{33} +(-4.00238 + 3.35840i) q^{34} +(0.476399 - 2.70180i) q^{35} +(-6.85870 + 2.49636i) q^{36} +9.44185 q^{37} +(-1.45142 - 4.11015i) q^{38} -14.8971 q^{39} +(2.57802 - 0.938324i) q^{40} +(1.63279 - 9.25999i) q^{41} +(2.45838 - 2.06282i) q^{42} +(1.95830 + 1.64321i) q^{43} +(-0.692229 - 3.92583i) q^{44} +(-10.0121 - 17.3415i) q^{45} +(0.260232 - 0.450735i) q^{46} +(-4.48234 - 1.63144i) q^{47} +(3.01565 + 1.09761i) q^{48} +(-0.500000 + 0.866025i) q^{49} +(1.26333 + 2.18815i) q^{50} +(-2.91159 - 16.5124i) q^{51} +(3.55599 + 2.98383i) q^{52} +(-6.98021 + 5.85710i) q^{53} +(2.39563 - 13.5863i) q^{54} +(10.2770 - 3.74053i) q^{55} -1.00000 q^{56} +(13.7520 + 2.56127i) q^{57} +5.83623 q^{58} +(1.01168 - 0.368223i) q^{59} +(-1.52885 + 8.67056i) q^{60} +(-1.17761 + 0.988134i) q^{61} +(-1.06095 - 0.890245i) q^{62} +(1.26744 + 7.18799i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-6.36763 + 11.0291i) q^{65} +(12.0216 + 4.37549i) q^{66} +(-11.5668 - 4.20996i) q^{67} +(-2.61237 + 4.52476i) q^{68} +(0.835133 + 1.44649i) q^{69} +(-0.476399 - 2.70180i) q^{70} +(3.06984 + 2.57590i) q^{71} +(-5.59126 + 4.69162i) q^{72} +(-0.0734212 + 0.416392i) q^{73} +(8.87243 - 3.22930i) q^{74} -8.10851 q^{75} +(-2.76965 - 3.36587i) q^{76} -3.98639 q^{77} +(-13.9987 + 5.09510i) q^{78} +(2.22061 - 12.5937i) q^{79} +(2.10162 - 1.76347i) q^{80} +(17.1417 + 14.3836i) q^{81} +(-1.63279 - 9.25999i) q^{82} +(0.749691 + 1.29850i) q^{83} +(1.60459 - 2.77924i) q^{84} +(-13.4695 - 4.90250i) q^{85} +(2.40221 + 0.874334i) q^{86} +(-9.36477 + 16.2203i) q^{87} +(-1.99320 - 3.45232i) q^{88} +(1.52439 + 8.64523i) q^{89} +(-15.3395 - 12.8714i) q^{90} +(3.55599 - 2.98383i) q^{91} +(0.0903776 - 0.512557i) q^{92} +(4.17660 - 1.52016i) q^{93} -4.77001 q^{94} +(7.77442 - 9.08652i) q^{95} +3.20919 q^{96} +(-4.33951 + 1.57945i) q^{97} +(-0.173648 + 0.984808i) q^{98} +(-22.2889 + 18.7026i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9}+O(q^{10}) $ 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9	$ 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9} + 9 q^{10} - 3 q^{11} + 3 q^{12} + 6 q^{13} - 24 q^{15} - 15 q^{17} - 42 q^{18} + 30 q^{19} + 6 q^{20} - 9 q^{22} - 24 q^{23} - 6 q^{25} + 6 q^{26} + 21 q^{27} + 27 q^{29} + 6 q^{30} + 3 q^{31} + 15 q^{33} - 30 q^{34} + 9 q^{35} + 6 q^{36} - 54 q^{37} + 3 q^{38} + 54 q^{39} + 9 q^{40} - 15 q^{41} + 6 q^{43} + 9 q^{44} - 30 q^{45} + 12 q^{46} + 3 q^{47} - 12 q^{49} + 33 q^{50} - 39 q^{51} - 3 q^{52} - 33 q^{53} - 18 q^{54} - 15 q^{55} - 24 q^{56} + 87 q^{57} + 12 q^{58} + 66 q^{59} + 3 q^{60} - 72 q^{61} - 39 q^{62} - 12 q^{63} - 12 q^{64} - 9 q^{65} + 30 q^{66} - 30 q^{67} - 3 q^{68} + 18 q^{69} - 9 q^{70} + 45 q^{71} - 6 q^{72} - 27 q^{73} + 6 q^{74} - 66 q^{75} + 9 q^{76} + 6 q^{77} - 18 q^{78} + 12 q^{79} + 24 q^{81} + 15 q^{82} - 9 q^{83} + 3 q^{84} + 78 q^{85} + 30 q^{86} + 45 q^{87} + 3 q^{88} - 48 q^{89} - 3 q^{90} - 3 q^{91} - 6 q^{92} - 3 q^{93} - 42 q^{94} - 3 q^{95} + 6 q^{96} - 21 q^{97} - 150 q^{99}+O(q^{100}) $ 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9 + 9 * q^10 - 3 * q^11 + 3 * q^12 + 6 * q^13 - 24 * q^15 - 15 * q^17 - 42 * q^18 + 30 * q^19 + 6 * q^20 - 9 * q^22 - 24 * q^23 - 6 * q^25 + 6 * q^26 + 21 * q^27 + 27 * q^29 + 6 * q^30 + 3 * q^31 + 15 * q^33 - 30 * q^34 + 9 * q^35 + 6 * q^36 - 54 * q^37 + 3 * q^38 + 54 * q^39 + 9 * q^40 - 15 * q^41 + 6 * q^43 + 9 * q^44 - 30 * q^45 + 12 * q^46 + 3 * q^47 - 12 * q^49 + 33 * q^50 - 39 * q^51 - 3 * q^52 - 33 * q^53 - 18 * q^54 - 15 * q^55 - 24 * q^56 + 87 * q^57 + 12 * q^58 + 66 * q^59 + 3 * q^60 - 72 * q^61 - 39 * q^62 - 12 * q^63 - 12 * q^64 - 9 * q^65 + 30 * q^66 - 30 * q^67 - 3 * q^68 + 18 * q^69 - 9 * q^70 + 45 * q^71 - 6 * q^72 - 27 * q^73 + 6 * q^74 - 66 * q^75 + 9 * q^76 + 6 * q^77 - 18 * q^78 + 12 * q^79 + 24 * q^81 + 15 * q^82 - 9 * q^83 + 3 * q^84 + 78 * q^85 + 30 * q^86 + 45 * q^87 + 3 * q^88 - 48 * q^89 - 3 * q^90 - 3 * q^91 - 6 * q^92 - 3 * q^93 - 42 * q^94 - 3 * q^95 + 6 * q^96 - 21 * q^97 - 150 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/266\mathbb{Z}\right)^\times$.

$n$	$115$	$211$
$\chi(n)$	$1$	$e\left(\frac{8}{9}\right)$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	−0.557269	+	3.16043i	−0.321740	+	1.82468i	0.209921	+	0.977718i	$0.432679\pi$
$3$	−0.557269	+	3.16043i	−0.321740	+	1.82468i	−0.531661	+	0.846957i	$0.678432\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	2.10162	+	1.76347i	0.939875	+	0.788649i	0.977563	−	0.210641i	$-0.0675551\pi$
$5$	2.10162	+	1.76347i	0.939875	+	0.788649i	−0.0376888	+	0.999290i	$0.512000\pi$
$6$	0.557269	+	3.16043i	0.227504	+	1.29024i
$7$	−0.500000	−	0.866025i	−0.188982	−	0.327327i
$7$	−0.500000	−	0.866025i	−0.188982	−	0.327327i
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	−6.85870	−	2.49636i	−2.28623	−	0.832120i
$10$	2.57802	+	0.938324i	0.815243	+	0.296724i
$11$	1.99320	−	3.45232i	0.600971	−	1.04091i	−0.391703	−	0.920092i	$-0.628114\pi$
$11$	1.99320	−	3.45232i	0.600971	−	1.04091i	0.992674	−	0.120821i	$-0.0385526\pi$
$12$	1.60459	+	2.77924i	0.463206	+	0.802296i
$13$	0.806078	+	4.57149i	0.223566	+	1.26790i	0.865408	+	0.501068i	$0.167059\pi$
$13$	0.806078	+	4.57149i	0.223566	+	1.26790i	−0.641843	+	0.766836i	$0.721830\pi$
$14$	−0.766044	−	0.642788i	−0.204734	−	0.171792i
$15$	−6.74450	+	5.65931i	−1.74142	+	1.46123i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−4.90965	+	1.78697i	−1.19076	+	0.433403i	−0.859992	−	0.510308i	$-0.829532\pi$
$17$	−4.90965	+	1.78697i	−1.19076	+	0.433403i	−0.330773	+	0.943710i	$0.607309\pi$
$18$	−7.29887			−1.72036
$19$	0.0418625	−	4.35870i	0.00960392	−	0.999954i
$19$	0.0418625	−	4.35870i	0.00960392	−	0.999954i
$20$	2.74348			0.613460
$21$	3.01565	−	1.09761i	0.658068	−	0.239517i
$22$	0.692229	−	3.92583i	0.147584	−	0.836989i
$23$	0.398698	−	0.334548i	0.0831344	−	0.0697580i	−0.600273	−	0.799795i	$-0.704942\pi$
$23$	0.398698	−	0.334548i	0.0831344	−	0.0697580i	0.683408	+	0.730037i	$0.260497\pi$
$24$	2.45838	+	2.06282i	0.501814	+	0.421072i
$25$	0.438749	+	2.48827i	0.0877498	+	0.497654i
$26$	2.32101	+	4.02010i	0.455187	+	0.788407i
$27$	6.89794	−	11.9476i	1.32751	−	2.29931i
$28$	−0.939693	−	0.342020i	−0.177585	−	0.0646357i
$29$	5.48426	+	1.99611i	1.01840	+	0.370668i	0.796653	−	0.604436i	$-0.206602\pi$
$29$	5.48426	+	1.99611i	1.01840	+	0.370668i	0.221748	+	0.975104i	$0.428824\pi$
$30$	−4.40216	+	7.62477i	−0.803721	+	1.39209i
$31$	−0.692488	−	1.19942i	−0.124374	−	0.215423i	0.797114	−	0.603829i	$-0.206359\pi$
$31$	−0.692488	−	1.19942i	−0.124374	−	0.215423i	−0.921488	+	0.388406i	$0.873026\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	9.80006	+	8.22323i	1.70597	+	1.43148i
$34$	−4.00238	+	3.35840i	−0.686403	+	0.575960i
$35$	0.476399	−	2.70180i	0.0805262	−	0.456687i
$36$	−6.85870	+	2.49636i	−1.14312	+	0.416060i
$37$	9.44185			1.55223			0.776115	−	0.630591i	$-0.217188\pi$
$37$	9.44185			1.55223			0.776115	+	0.630591i	$0.217188\pi$
$38$	−1.45142	−	4.11015i	−0.235452	−	0.666755i
$39$	−14.8971			−2.38544
$40$	2.57802	−	0.938324i	0.407621	−	0.148362i
$41$	1.63279	−	9.25999i	0.254998	−	1.44617i	−0.541078	−	0.840972i	$-0.681984\pi$
$41$	1.63279	−	9.25999i	0.254998	−	1.44617i	0.796077	−	0.605196i	$-0.206905\pi$
$42$	2.45838	−	2.06282i	0.379336	−	0.318301i
$43$	1.95830	+	1.64321i	0.298638	+	0.250587i	0.779777	−	0.626057i	$-0.215332\pi$
$43$	1.95830	+	1.64321i	0.298638	+	0.250587i	−0.481139	+	0.876644i	$0.659777\pi$
$44$	−0.692229	−	3.92583i	−0.104358	−	0.591841i
$45$	−10.0121	−	17.3415i	−1.49252	−	2.58512i
$46$	0.260232	−	0.450735i	0.0383691	−	0.0664572i
$47$	−4.48234	−	1.63144i	−0.653817	−	0.237970i	−0.00625219	−	0.999980i	$-0.501990\pi$
$47$	−4.48234	−	1.63144i	−0.653817	−	0.237970i	−0.647564	+	0.762011i	$0.724212\pi$
$48$	3.01565	+	1.09761i	0.435271	+	0.158426i
$49$	−0.500000	+	0.866025i	−0.0714286	+	0.123718i
$50$	1.26333	+	2.18815i	0.178662	+	0.309451i
$51$	−2.91159	−	16.5124i	−0.407704	−	2.31220i
$52$	3.55599	+	2.98383i	0.493127	+	0.413783i
$53$	−6.98021	+	5.85710i	−0.958806	+	0.804534i	−0.980758	−	0.195225i	$-0.937456\pi$
$53$	−6.98021	+	5.85710i	−0.958806	+	0.804534i	0.0219523	+	0.999759i	$0.493012\pi$
$54$	2.39563	−	13.5863i	0.326004	−	1.84886i
$55$	10.2770	−	3.74053i	1.38575	−	0.504372i
$56$	−1.00000			−0.133631
$57$	13.7520	+	2.56127i	1.82150	+	0.339249i
$58$	5.83623			0.766334
$59$	1.01168	−	0.368223i	0.131710	−	0.0479386i	−0.275324	−	0.961351i	$-0.588785\pi$
$59$	1.01168	−	0.368223i	0.131710	−	0.0479386i	0.407034	+	0.913413i	$0.366563\pi$
$60$	−1.52885	+	8.67056i	−0.197374	+	1.11936i
$61$	−1.17761	+	0.988134i	−0.150778	+	0.126518i	−0.715056	−	0.699067i	$-0.753599\pi$
$61$	−1.17761	+	0.988134i	−0.150778	+	0.126518i	0.564278	+	0.825585i	$0.309154\pi$
$62$	−1.06095	−	0.890245i	−0.134741	−	0.113061i
$63$	1.26744	+	7.18799i	0.159682	+	0.905601i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−6.36763	+	11.0291i	−0.789807	+	1.36799i
$66$	12.0216	+	4.37549i	1.47975	+	0.538585i
$67$	−11.5668	−	4.20996i	−1.41311	−	0.514328i	−0.481066	−	0.876685i	$-0.659750\pi$
$67$	−11.5668	−	4.20996i	−1.41311	−	0.514328i	−0.932040	+	0.362356i	$0.881972\pi$
$68$	−2.61237	+	4.52476i	−0.316796	+	0.548707i
$69$	0.835133	+	1.44649i	0.100538	+	0.174137i
$70$	−0.476399	−	2.70180i	−0.0569406	−	0.322926i
$71$	3.06984	+	2.57590i	0.364323	+	0.305703i	0.806511	−	0.591219i	$-0.201353\pi$
$71$	3.06984	+	2.57590i	0.364323	+	0.305703i	−0.442188	+	0.896922i	$0.645798\pi$
$72$	−5.59126	+	4.69162i	−0.658936	+	0.552913i
$73$	−0.0734212	+	0.416392i	−0.00859330	+	0.0487350i	−0.988803	−	0.149227i	$-0.952321\pi$
$73$	−0.0734212	+	0.416392i	−0.00859330	+	0.0487350i	0.980210	+	0.197963i	$0.0634324\pi$
$74$	8.87243	−	3.22930i	1.03140	−	0.375399i
$75$	−8.10851			−0.936290
$76$	−2.76965	−	3.36587i	−0.317700	−	0.386091i
$77$	−3.98639			−0.454291
$78$	−13.9987	+	5.09510i	−1.58504	+	0.576907i
$79$	2.22061	−	12.5937i	0.249838	−	1.41690i	−0.559144	−	0.829071i	$-0.688870\pi$
$79$	2.22061	−	12.5937i	0.249838	−	1.41690i	0.808982	−	0.587833i	$-0.200019\pi$
$80$	2.10162	−	1.76347i	0.234969	−	0.197162i
$81$	17.1417	+	14.3836i	1.90463	+	1.59818i
$82$	−1.63279	−	9.25999i	−0.180311	−	1.02260i
$83$	0.749691	+	1.29850i	0.0822892	+	0.142529i	0.904233	−	0.427040i	$-0.140444\pi$
$83$	0.749691	+	1.29850i	0.0822892	+	0.142529i	−0.821944	+	0.569569i	$0.807110\pi$
$84$	1.60459	−	2.77924i	0.175075	−	0.303240i
$85$	−13.4695	−	4.90250i	−1.46097	−	0.531750i
$86$	2.40221	+	0.874334i	0.259037	+	0.0942819i
$87$	−9.36477	+	16.2203i	−1.00401	+	1.73899i
$88$	−1.99320	−	3.45232i	−0.212475	−	0.368018i
$89$	1.52439	+	8.64523i	0.161585	+	0.916392i	0.952516	+	0.304488i	$0.0984853\pi$
$89$	1.52439	+	8.64523i	0.161585	+	0.916392i	−0.790932	+	0.611905i	$0.790404\pi$
$90$	−15.3395	−	12.8714i	−1.61692	−	1.35676i
$91$	3.55599	−	2.98383i	0.372769	−	0.312790i
$92$	0.0903776	−	0.512557i	0.00942252	−	0.0534377i
$93$	4.17660	−	1.52016i	0.433093	−	0.157633i
$94$	−4.77001			−0.491989
$95$	7.77442	−	9.08652i	0.797639	−	0.932257i
$96$	3.20919			0.327536
$97$	−4.33951	+	1.57945i	−0.440611	+	0.160369i	−0.552793	−	0.833318i	$-0.686438\pi$
$97$	−4.33951	+	1.57945i	−0.440611	+	0.160369i	0.112183	+	0.993688i	$0.464216\pi$
$98$	−0.173648	+	0.984808i	−0.0175411	+	0.0994806i
$99$	−22.2889	+	18.7026i	−2.24012	+	1.87969i
$100$	1.93553	+	1.62410i	0.193553	+	0.162410i
$101$	0.880979	+	4.99628i	0.0876607	+	0.497149i	0.996751	+	0.0805488i	$0.0256673\pi$
$101$	0.880979	+	4.99628i	0.0876607	+	0.497149i	−0.909090	+	0.416600i	$0.863222\pi$
$102$	−8.38358	−	14.5208i	−0.830098	−	1.43777i
$103$	0.700060	−	1.21254i	0.0689790	−	0.119475i	−0.829473	−	0.558547i	$-0.811359\pi$
$103$	0.700060	−	1.21254i	0.0689790	−	0.119475i	0.898452	+	0.439072i	$0.144693\pi$
$104$	4.36207	+	1.58766i	0.427736	+	0.155683i
$105$	8.27336	+	3.01125i	0.807397	+	0.293868i
$106$	−4.55601	+	7.89124i	−0.442519	+	0.766465i
$107$	9.17732	+	15.8956i	0.887205	+	1.53668i	0.843165	+	0.537655i	$0.180690\pi$
$107$	9.17732	+	15.8956i	0.887205	+	1.53668i	0.0440401	+	0.999030i	$0.485977\pi$
$108$	−2.39563	−	13.5863i	−0.230520	−	1.30734i
$109$	−6.50446	−	5.45789i	−0.623014	−	0.522771i	0.275735	−	0.961234i	$-0.411079\pi$
$109$	−6.50446	−	5.45789i	−0.623014	−	0.522771i	−0.898749	+	0.438463i	$0.855523\pi$
$110$	8.37789	−	7.02989i	0.798801	−	0.670273i
$111$	−5.26165	+	29.8403i	−0.499414	+	2.83232i
$112$	−0.939693	+	0.342020i	−0.0887926	+	0.0323179i
$113$	−8.06367			−0.758566			−0.379283	−	0.925281i	$-0.623829\pi$
$113$	−8.06367			−0.758566			−0.379283	+	0.925281i	$0.623829\pi$
$114$	13.7987	−	2.29666i	1.29237	−	0.215102i
$115$	1.42788			0.133150
$116$	5.48426	−	1.99611i	0.509201	−	0.185334i
$117$	5.88346	−	33.3667i	0.543926	−	3.08476i
$118$	0.824733	−	0.692033i	0.0759228	−	0.0637068i
$119$	4.00238	+	3.35840i	0.366898	+	0.307864i
$120$	1.52885	+	8.67056i	0.139565	+	0.791511i
$121$	−2.44566	−	4.23600i	−0.222332	−	0.385091i
$122$	−0.768632	+	1.33131i	−0.0695886	+	0.120531i
$123$	28.3557	+	10.3206i	2.55674	+	0.930579i
$124$	−1.30145	−	0.473689i	−0.116874	−	0.0425386i
$125$	3.39278	−	5.87647i	0.303459	−	0.525607i
$126$	3.64944	+	6.32101i	0.325118	+	0.563120i
$127$	−2.28209	−	12.9424i	−0.202503	−	1.14845i	−0.901321	−	0.433151i	$-0.857402\pi$
$127$	−2.28209	−	12.9424i	−0.202503	−	1.14845i	0.698818	−	0.715299i	$-0.253710\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	−6.28455	+	5.27337i	−0.553324	+	0.464294i
$130$	−2.21145	+	12.5418i	−0.193957	+	1.09999i
$131$	−17.2159	+	6.26607i	−1.50416	+	0.547469i	−0.957134	−	0.289646i	$-0.906462\pi$
$131$	−17.2159	+	6.26607i	−1.50416	+	0.547469i	−0.547026	+	0.837116i	$0.684240\pi$
$132$	12.7931			1.11349
$133$	−3.79567	+	2.14309i	−0.329127	+	0.185830i
$134$	−12.3091			−1.06334
$135$	35.5661	−	12.9450i	3.06104	−	1.11413i
$136$	−0.907266	+	5.14536i	−0.0777974	+	0.441211i
$137$	−3.20831	+	2.69209i	−0.274105	+	0.230001i	−0.769469	−	0.638684i	$-0.779479\pi$
$137$	−3.20831	+	2.69209i	−0.274105	+	0.230001i	0.495364	+	0.868685i	$0.335035\pi$
$138$	1.27950	+	1.07363i	0.108918	+	0.0913931i
$139$	−2.59557	−	14.7202i	−0.220153	−	1.24855i	−0.871737	−	0.489974i	$-0.837006\pi$
$139$	−2.59557	−	14.7202i	−0.220153	−	1.24855i	0.651584	−	0.758576i	$-0.274105\pi$
$140$	−1.37174	−	2.37592i	−0.115933	−	0.200802i
$141$	7.65392	−	13.2570i	0.644576	−	1.11644i
$142$	3.76571	+	1.37061i	0.316012	+	0.115019i
$143$	17.3889	+	6.32904i	1.45413	+	0.529261i
$144$	−3.64944	+	6.32101i	−0.304120	+	0.526751i
$145$	8.00577	+	13.8664i	0.664843	+	1.15154i
$146$	0.0734212	+	0.416392i	0.00607638	+	0.0344609i
$147$	−2.45838	−	2.06282i	−0.202764	−	0.170139i
$148$	7.23287	−	6.06910i	0.594539	−	0.498877i
$149$	−0.00299068	+	0.0169610i	−0.000245006	+	0.00138950i	−0.984930	−	0.172953i	$-0.944669\pi$
$149$	−0.00299068	+	0.0169610i	−0.000245006	+	0.00138950i	0.984685	+	0.174343i	$0.0557801\pi$
$150$	−7.61950	+	2.77327i	−0.622130	+	0.226437i
$151$	6.94979			0.565566			0.282783	−	0.959184i	$-0.408742\pi$
$151$	6.94979			0.565566			0.282783	+	0.959184i	$0.408742\pi$
$152$	−3.75381	−	2.21560i	−0.304474	−	0.179709i
$153$	38.1347			3.08301
$154$	−3.74598	+	1.36343i	−0.301860	+	0.109868i
$155$	0.659801	−	3.74192i	0.0529965	−	0.300558i
$156$	−11.4118	+	9.57566i	−0.913678	+	0.766667i
$157$	−16.0184	−	13.4410i	−1.27840	−	1.07271i	−0.993462	−	0.114164i	$-0.963581\pi$
$157$	−16.0184	−	13.4410i	−1.27840	−	1.07271i	−0.284943	−	0.958545i	$-0.591975\pi$
$158$	−2.22061	−	12.5937i	−0.176662	−	1.00190i
$159$	−14.6211	−	25.3245i	−1.15953	−	2.00836i
$160$	1.37174	−	2.37592i	0.108445	−	0.187833i
$161$	−0.489076	−	0.178009i	−0.0385446	−	0.0140291i
$162$	21.0274	+	7.65336i	1.65207	+	0.601305i
$163$	−4.46969	+	7.74172i	−0.350093	+	0.606379i	−0.986265	−	0.165168i	$-0.947183\pi$
$163$	−4.46969	+	7.74172i	−0.350093	+	0.606379i	0.636173	+	0.771547i	$0.280517\pi$
$164$	−4.70142	−	8.14310i	−0.367119	−	0.635869i
$165$	6.09461	+	34.5643i	0.474465	+	2.69082i
$166$	1.14859	+	0.963784i	0.0891481	+	0.0748041i
$167$	−13.8969	+	11.6609i	−1.07537	+	0.902346i	−0.995529	−	0.0944611i	$-0.969887\pi$
$167$	−13.8969	+	11.6609i	−1.07537	+	0.902346i	−0.0798457	+	0.996807i	$0.525443\pi$
$168$	0.557269	−	3.16043i	0.0429943	−	0.243833i
$169$	−8.03278	+	2.92369i	−0.617906	+	0.224900i
$170$	−14.3339			−1.09936
$171$	−11.1680	+	29.7905i	−0.854039	+	2.27814i
$172$	2.55638			0.194922
$173$	−1.85786	+	0.676205i	−0.141250	+	0.0514109i	−0.411678	−	0.911329i	$-0.635057\pi$
$173$	−1.85786	+	0.676205i	−0.141250	+	0.0514109i	0.270428	+	0.962740i	$0.412835\pi$
$174$	−3.25235	+	18.4450i	−0.246560	+	1.39831i
$175$	1.93553	−	1.62410i	0.146312	−	0.122771i
$176$	−3.05375	−	2.56240i	−0.230185	−	0.193148i
$177$	0.599963	+	3.40256i	0.0450960	+	0.255752i
$178$	4.38930	+	7.60249i	0.328992	+	0.569830i
$179$	−9.71063	+	16.8193i	−0.725807	+	1.25713i	0.232834	+	0.972516i	$0.425200\pi$
$179$	−9.71063	+	16.8193i	−0.725807	+	1.25713i	−0.958641	+	0.284618i	$0.908133\pi$
$180$	−18.8167	−	6.84870i	−1.40251	−	0.510472i
$181$	−2.39153	−	0.870447i	−0.177761	−	0.0646998i	0.251606	−	0.967830i	$-0.419041\pi$
$181$	−2.39153	−	0.870447i	−0.177761	−	0.0646998i	−0.429367	+	0.903130i	$0.641263\pi$
$182$	2.32101	−	4.02010i	0.172045	−	0.297990i
$183$	−2.46668	−	4.27242i	−0.182342	−	0.315826i
$184$	−0.0903776	−	0.512557i	−0.00666273	−	0.0377862i
$185$	19.8432	+	16.6504i	1.45890	+	1.22416i
$186$	3.40479	−	2.85696i	0.249652	−	0.209483i
$187$	−3.61672	+	20.5114i	−0.264481	+	1.49994i
$188$	−4.48234	+	1.63144i	−0.326908	+	0.118985i
$189$	−13.7959			−1.00350
$190$	4.19779	−	11.1975i	0.304540	−	0.812355i
$191$	−18.1665			−1.31448			−0.657241	−	0.753681i	$-0.728276\pi$
$191$	−18.1665			−1.31448			−0.657241	+	0.753681i	$0.728276\pi$
$192$	3.01565	−	1.09761i	0.217636	−	0.0792129i
$193$	2.17591	−	12.3402i	0.156626	−	0.888268i	−0.800659	−	0.599121i	$-0.795517\pi$
$193$	2.17591	−	12.3402i	0.156626	−	0.888268i	0.957284	−	0.289148i	$-0.0933719\pi$
$194$	−3.53760	+	2.96840i	−0.253985	+	0.213119i
$195$	−31.3081	−	26.2706i	−2.24202	−	1.88128i
$196$	0.173648	+	0.984808i	0.0124034	+	0.0703434i
$197$	5.52624	+	9.57172i	0.393728	+	0.681957i	0.992938	−	0.118635i	$-0.0378518\pi$
$197$	5.52624	+	9.57172i	0.393728	+	0.681957i	−0.599210	+	0.800592i	$0.704519\pi$
$198$	−14.5481	+	25.1980i	−1.03389	+	1.79074i
$199$	2.27714	+	0.828812i	0.161422	+	0.0587529i	0.421467	−	0.906844i	$-0.361515\pi$
$199$	2.27714	+	0.828812i	0.161422	+	0.0587529i	−0.260045	+	0.965596i	$0.583737\pi$
$200$	2.37428	+	0.864167i	0.167887	+	0.0611058i
$201$	19.7511	−	34.2099i	1.39313	−	2.41298i
$202$	2.53668	+	4.39366i	0.178480	+	0.309137i
$203$	−1.01345	−	5.74756i	−0.0711303	−	0.403400i
$204$	−12.8444	−	10.7777i	−0.899287	−	0.754591i
$205$	19.7612	−	16.5816i	1.38018	−	1.15811i
$206$	0.243128	−	1.37885i	0.0169395	−	0.0960689i
$207$	−3.56970	+	1.29927i	−0.248112	+	0.0903052i
$208$	4.64202			0.321866
$209$	−14.9642	−	8.83226i	−1.03509	−	0.610940i
$210$	8.80432			0.607556
$211$	−3.00160	+	1.09249i	−0.206638	+	0.0752102i	−0.443266	−	0.896390i	$-0.646180\pi$
$211$	−3.00160	+	1.09249i	−0.206638	+	0.0752102i	0.236627	+	0.971600i	$0.423958\pi$
$212$	−1.58229	+	8.97359i	−0.108672	+	0.616309i
$213$	−9.85168	+	8.26654i	−0.675026	+	0.566414i
$214$	14.0605	+	11.7981i	0.961154	+	0.806504i
$215$	1.21786	+	6.90682i	0.0830573	+	0.471041i
$216$	−6.89794	−	11.9476i	−0.469345	−	0.812930i
$217$	−0.692488	+	1.19942i	−0.0470091	+	0.0814222i
$218$	−7.97890	−	2.90408i	−0.540399	−	0.196689i
$219$	−1.27506	−	0.464085i	−0.0861608	−	0.0313600i
$220$	5.46828	−	9.47134i	0.368671	−	0.638558i
$221$	−12.1267	−	21.0040i	−0.815727	−	1.41288i
$222$	5.26165	+	29.8403i	0.353139	+	2.00275i
$223$	−5.45239	−	4.57510i	−0.365119	−	0.306371i	0.441708	−	0.897159i	$-0.354373\pi$
$223$	−5.45239	−	4.57510i	−0.365119	−	0.306371i	−0.806827	+	0.590788i	$0.798817\pi$
$224$	−0.766044	+	0.642788i	−0.0511835	+	0.0429481i
$225$	3.20237	−	18.1616i	0.213492	−	1.21077i
$226$	−7.57737	+	2.75794i	−0.504039	+	0.183455i
$227$	15.0860			1.00130			0.500648	−	0.865651i	$-0.333095\pi$
$227$	15.0860			1.00130			0.500648	+	0.865651i	$0.333095\pi$
$228$	12.1810	−	6.87759i	0.806708	−	0.455479i
$229$	0.806298			0.0532817			0.0266409	−	0.999645i	$-0.491519\pi$
$229$	0.806298			0.0532817			0.0266409	+	0.999645i	$0.491519\pi$
$230$	1.34177	−	0.488364i	0.0884736	−	0.0322017i
$231$	2.22149	−	12.5987i	0.146164	−	0.828934i
$232$	4.47081	−	3.75145i	0.293523	−	0.246295i
$233$	−7.22969	−	6.06643i	−0.473633	−	0.397425i	0.374485	−	0.927233i	$-0.377820\pi$
$233$	−7.22969	−	6.06643i	−0.473633	−	0.397425i	−0.848118	+	0.529808i	$0.822264\pi$
$234$	−5.88346	−	33.3667i	−0.384614	−	2.18125i
$235$	−6.54320	−	11.3332i	−0.426831	−	0.739293i
$236$	0.538306	−	0.932374i	0.0350408	−	0.0606924i
$237$	38.5641	+	14.0362i	2.50501	+	0.911748i
$238$	4.90965	+	1.78697i	0.318245	+	0.115832i
$239$	0.971424	−	1.68256i	0.0628362	−	0.108836i	−0.832896	−	0.553430i	$-0.813319\pi$
$239$	0.971424	−	1.68256i	0.0628362	−	0.108836i	0.895732	+	0.444594i	$0.146652\pi$
$240$	4.40216	+	7.62477i	0.284158	+	0.492176i
$241$	4.06779	+	23.0696i	0.262029	+	1.48604i	0.777363	+	0.629052i	$0.216557\pi$
$241$	4.06779	+	23.0696i	0.262029	+	1.48604i	−0.515334	+	0.856990i	$0.672332\pi$
$242$	−3.74696	−	3.14407i	−0.240864	−	0.202109i
$243$	−23.3062	+	19.5562i	−1.49509	+	1.25453i
$244$	−0.266943	+	1.51391i	−0.0170893	+	0.0969181i
$245$	−2.57802	+	0.938324i	−0.164704	+	0.0599473i
$246$	30.1755			1.92392
$247$	19.9595	−	3.32207i	1.26999	−	0.211379i
$248$	−1.38498			−0.0879460
$249$	−4.52161	+	1.64573i	−0.286545	+	0.104294i
$250$	1.17830	−	6.68247i	0.0745222	−	0.422637i
$251$	1.12195	−	0.941428i	0.0708169	−	0.0594224i	−0.606692	−	0.794937i	$-0.707504\pi$
$251$	1.12195	−	0.941428i	0.0708169	−	0.0594224i	0.677509	+	0.735514i	$0.263059\pi$
$252$	5.59126	+	4.69162i	0.352216	+	0.295545i
$253$	−0.360280	−	2.04325i	−0.0226506	−	0.128458i
$254$	−6.57102	−	11.3813i	−0.412302	−	0.714129i
$255$	23.0001	−	39.8374i	1.44032	−	2.49471i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	19.2912	+	7.02141i	1.20335	+	0.437983i	0.864392	−	0.502819i	$-0.167704\pi$
$257$	19.2912	+	7.02141i	1.20335	+	0.437983i	0.338957	+	0.940802i	$0.389926\pi$
$258$	−4.10195	+	7.10479i	−0.255376	+	0.442325i
$259$	−4.72092	−	8.17688i	−0.293344	−	0.508087i
$260$	2.21145	+	12.5418i	0.137149	+	0.777808i
$261$	−32.6319	−	27.3814i	−2.01986	−	1.69487i
$262$	−14.0345	+	11.7764i	−0.867056	+	0.727546i
$263$	3.00782	−	17.0582i	0.185470	−	1.05185i	−0.739880	−	0.672739i	$-0.765118\pi$
$263$	3.00782	−	17.0582i	0.185470	−	1.05185i	0.925350	−	0.379114i	$-0.123771\pi$
$264$	12.0216	−	4.37549i	0.739875	−	0.269293i
$265$	−24.9986			−1.53565
$266$	−2.83379	+	3.31205i	−0.173751	+	0.203075i
$267$	−28.1721			−1.72411
$268$	−11.5668	+	4.20996i	−0.706553	+	0.257164i
$269$	−1.91833	+	10.8794i	−0.116963	+	0.663329i	0.868797	+	0.495169i	$0.164894\pi$
$269$	−1.91833	+	10.8794i	−0.116963	+	0.663329i	−0.985760	+	0.168161i	$0.946217\pi$
$270$	28.9937	−	24.3286i	1.76450	−	1.48059i
$271$	20.5832	+	17.2713i	1.25034	+	1.04916i	0.996643	+	0.0818750i	$0.0260908\pi$
$271$	20.5832	+	17.2713i	1.25034	+	1.04916i	0.253696	+	0.967284i	$0.418354\pi$
$272$	0.907266	+	5.14536i	0.0550111	+	0.311983i
$273$	7.44854	+	12.9013i	0.450806	+	0.780820i
$274$	−2.09408	+	3.62705i	−0.126508	+	0.219118i
$275$	9.46480	+	3.44491i	0.570749	+	0.207736i
$276$	1.56954	+	0.571264i	0.0944750	+	0.0343861i
$277$	8.97895	−	15.5520i	0.539493	−	0.934429i	−0.459438	−	0.888210i	$-0.651949\pi$
$277$	8.97895	−	15.5520i	0.539493	−	0.934429i	0.998931	−	0.0462197i	$-0.0147174\pi$
$278$	−7.47363	−	12.9447i	−0.448239	−	0.776372i
$279$	1.75537	+	9.95518i	0.105091	+	0.596001i
$280$	−2.10162	−	1.76347i	−0.125596	−	0.105388i
$281$	6.40086	−	5.37096i	0.381843	−	0.320405i	−0.431582	−	0.902074i	$-0.642045\pi$
$281$	6.40086	−	5.37096i	0.381843	−	0.320405i	0.813426	+	0.581669i	$0.197600\pi$
$282$	2.65818	−	15.0753i	0.158292	−	0.897720i
$283$	−9.29413	+	3.38279i	−0.552478	+	0.201086i	−0.603147	−	0.797630i	$-0.706087\pi$
$283$	−9.29413	+	3.38279i	−0.552478	+	0.201086i	0.0506689	+	0.998716i	$0.483865\pi$
$284$	4.00739			0.237795
$285$	24.3849	+	29.6342i	1.44444	+	1.75538i
$286$	18.5049			1.09422
$287$	−8.83578	+	3.21596i	−0.521560	+	0.189832i
$288$	−1.26744	+	7.18799i	−0.0746844	+	0.423556i
$289$	7.88864	−	6.61935i	0.464038	−	0.389374i
$290$	12.2656	+	10.2920i	0.720258	+	0.604368i
$291$	−2.57348	−	14.5949i	−0.150860	−	0.855569i
$292$	0.211408	+	0.366169i	0.0123717	+	0.0214284i
$293$	12.7989	−	22.1683i	0.747719	−	1.29509i	−0.201195	−	0.979551i	$-0.564482\pi$
$293$	12.7989	−	22.1683i	0.747719	−	1.29509i	0.948914	−	0.315536i	$-0.102184\pi$
$294$	−3.01565	−	1.09761i	−0.175876	−	0.0640137i
$295$	2.77553	+	1.01021i	0.161598	+	0.0588168i
$296$	4.72092	−	8.17688i	0.274398	−	0.475271i
$297$	−27.4979	−	47.6277i	−1.59559	−	2.76364i
$298$	0.00299068	+	0.0169610i	0.000173245	+	0.000982524i
$299$	1.85076	+	1.55298i	0.107032	+	0.0898109i
$300$	−6.21148	+	5.21205i	−0.358620	+	0.300918i
$301$	0.443911	−	2.51754i	0.0255866	−	0.145109i
$302$	6.53066	−	2.37697i	0.375797	−	0.136779i
$303$	−16.2813			−0.935339
$304$	−4.28521	−	0.798106i	−0.245774	−	0.0457745i
$305$	−4.21744			−0.241490
$306$	35.8349	−	13.0428i	2.04854	−	0.745609i
$307$	1.61384	−	9.15254i	0.0921067	−	0.522363i	−0.903489	−	0.428611i	$-0.859003\pi$
$307$	1.61384	−	9.15254i	0.0921067	−	0.522363i	0.995596	−	0.0937516i	$-0.0298860\pi$
$308$	−3.05375	+	2.56240i	−0.174004	+	0.146006i
$309$	3.44202	+	2.88820i	0.195810	+	0.164304i
$310$	−0.659801	−	3.74192i	−0.0374742	−	0.212527i
$311$	3.51746	+	6.09242i	0.199457	+	0.345469i	0.948352	−	0.317219i	$-0.102749\pi$
$311$	3.51746	+	6.09242i	0.199457	+	0.345469i	−0.748896	+	0.662688i	$0.769416\pi$
$312$	−7.44854	+	12.9013i	−0.421691	+	0.730390i
$313$	−27.9902	−	10.1876i	−1.58210	−	0.575837i	−0.606440	−	0.795129i	$-0.707403\pi$
$313$	−27.9902	−	10.1876i	−1.58210	−	0.575837i	−0.975659	+	0.219292i	$0.929625\pi$
$314$	−19.6494	−	7.15181i	−1.10888	−	0.403600i
$315$	−10.0121	+	17.3415i	−0.564120	+	0.977085i
$316$	−6.39400	−	11.0747i	−0.359690	−	0.623002i
$317$	3.29676	+	18.6968i	0.185164	+	1.05012i	0.925744	+	0.378151i	$0.123440\pi$
$317$	3.29676	+	18.6968i	0.185164	+	1.05012i	−0.740580	+	0.671969i	$0.765449\pi$
$318$	−22.4008	−	18.7965i	−1.25617	−	1.05406i
$319$	17.8224	−	14.9548i	0.997862	−	0.837306i
$320$	0.476399	−	2.70180i	0.0266315	−	0.151035i
$321$	−55.3511	+	20.1462i	−3.08940	+	1.12445i
$322$	−0.520464			−0.0290043
$323$	7.58331	+	21.4745i	0.421947	+	1.19487i
$324$	22.3769			1.24316
$325$	−11.0214	+	4.01148i	−0.611360	+	0.222517i
$326$	−1.55231	+	8.80356i	−0.0859743	+	0.487584i
$327$	20.8740	−	17.5154i	1.15434	−	0.968602i
$328$	−7.20299	−	6.04403i	−0.397719	−	0.333726i
$329$	0.828303	+	4.69754i	0.0456658	+	0.258984i
$330$	17.5487	+	30.3953i	0.966026	+	1.67321i
$331$	4.34101	−	7.51885i	0.238603	−	0.413273i	−0.721710	−	0.692195i	$-0.756644\pi$
$331$	4.34101	−	7.51885i	0.238603	−	0.413273i	0.960314	+	0.278922i	$0.0899771\pi$
$332$	1.40896	+	0.512819i	0.0773266	+	0.0281446i
$333$	−64.7588	−	23.5703i	−3.54876	−	1.29164i
$334$	−9.07056	+	15.7107i	−0.496319	+	0.859649i
$335$	−16.8848	−	29.2454i	−0.922518	−	1.59785i
$336$	−0.557269	−	3.16043i	−0.0304015	−	0.172416i
$337$	12.8614	+	10.7920i	0.700605	+	0.587877i	0.921946	−	0.387319i	$-0.126599\pi$
$337$	12.8614	+	10.7920i	0.700605	+	0.587877i	−0.221341	+	0.975197i	$0.571043\pi$
$338$	−6.54838	+	5.49475i	−0.356185	+	0.298875i
$339$	4.49364	−	25.4847i	0.244061	−	1.38414i
$340$	−13.4695	+	4.90250i	−0.730486	+	0.265875i
$341$	−5.52105			−0.298982
$342$	−0.305549	+	31.8136i	−0.0165222	+	1.72028i
$343$	1.00000			0.0539949
$344$	2.40221	−	0.874334i	0.129519	−	0.0471409i
$345$	−0.795713	+	4.51271i	−0.0428398	+	0.242956i
$346$	−1.51454	+	1.27085i	−0.0814221	+	0.0683213i
$347$	10.7155	+	8.99135i	0.575236	+	0.482681i	0.883379	−	0.468660i	$-0.155263\pi$
$347$	10.7155	+	8.99135i	0.575236	+	0.482681i	−0.308142	+	0.951340i	$0.599707\pi$
$348$	3.25235	+	18.4450i	0.174344	+	0.988755i
$349$	8.85756	+	15.3417i	0.474134	+	0.821225i	0.999561	−	0.0296139i	$-0.00942777\pi$
$349$	8.85756	+	15.3417i	0.474134	+	0.821225i	−0.525427	+	0.850839i	$0.676094\pi$
$350$	1.26333	−	2.18815i	0.0675277	−	0.116961i
$351$	60.1786	+	21.9032i	3.21209	+	1.16911i
$352$	−3.74598	−	1.36343i	−0.199662	−	0.0726708i
$353$	3.92070	−	6.79084i	0.208678	−	0.361440i	−0.742621	−	0.669712i	$-0.766417\pi$
$353$	3.92070	−	6.79084i	0.208678	−	0.361440i	0.951298	+	0.308272i	$0.0997507\pi$
$354$	1.72752	+	2.99216i	0.0918169	+	0.159032i
$355$	1.90912	+	10.8271i	0.101325	+	0.574645i
$356$	6.72479	+	5.64277i	0.356413	+	0.299066i
$357$	−12.8444	+	10.7777i	−0.679797	+	0.570417i
$358$	−3.37247	+	19.1262i	−0.178240	+	1.01085i
$359$	−13.8809	+	5.05225i	−0.732608	+	0.266648i	−0.681268	−	0.732034i	$-0.738571\pi$
$359$	−13.8809	+	5.05225i	−0.732608	+	0.266648i	−0.0513397	+	0.998681i	$0.516349\pi$
$360$	−20.0243			−1.05537
$361$	−18.9965	−	0.364932i	−0.999816	−	0.0192069i
$362$	−2.54502			−0.133763
$363$	14.7505	−	5.36873i	0.774199	−	0.281785i
$364$	0.806078	−	4.57149i	0.0422499	−	0.239611i
$365$	−0.888600	+	0.745624i	−0.0465114	+	0.0390277i
$366$	−3.77917	−	3.17110i	−0.197541	−	0.165756i
$367$	0.942298	+	5.34404i	0.0491875	+	0.278956i	0.999474	−	0.0324195i	$-0.0103213\pi$
$367$	0.942298	+	5.34404i	0.0491875	+	0.278956i	−0.950287	+	0.311376i	$0.899210\pi$
$368$	−0.260232	−	0.450735i	−0.0135655	−	0.0234962i
$369$	−34.3151	+	59.4354i	−1.78637	+	3.09409i
$370$	24.3413	+	8.85951i	1.26544	+	0.460584i
$371$	8.56250	+	3.11650i	0.444543	+	0.161800i
$372$	2.22232	−	3.84917i	0.115222	−	0.199570i
$373$	15.0791	+	26.1178i	0.780767	+	1.35233i	0.931495	+	0.363754i	$0.118505\pi$
$373$	15.0791	+	26.1178i	0.780767	+	1.35233i	−0.150728	+	0.988575i	$0.548162\pi$
$374$	3.61672	+	20.5114i	0.187016	+	1.06062i
$375$	16.6815	+	13.9974i	0.861428	+	0.722824i
$376$	−3.65404	+	3.06610i	−0.188443	+	0.158122i
$377$	−4.70445	+	26.6803i	−0.242292	+	1.37410i
$378$	−12.9639	+	4.71847i	−0.666790	+	0.242692i
$379$	22.1827			1.13945			0.569726	−	0.821835i	$-0.307049\pi$
$379$	22.1827			1.13945			0.569726	+	0.821835i	$0.307049\pi$
$380$	0.114849	−	11.9580i	0.00589161	−	0.613431i
$381$	42.1752			2.16070
$382$	−17.0709	+	6.21331i	−0.873424	+	0.317900i
$383$	−2.35416	+	13.3511i	−0.120292	+	0.682210i	0.863701	+	0.504004i	$0.168140\pi$
$383$	−2.35416	+	13.3511i	−0.120292	+	0.682210i	−0.983993	+	0.178206i	$0.942971\pi$
$384$	2.45838	−	2.06282i	0.125454	−	0.105268i
$385$	−8.37789	−	7.02989i	−0.426977	−	0.358276i
$386$	−2.17591	−	12.3402i	−0.110751	−	0.628100i
$387$	−9.32935	−	16.1589i	−0.474238	−	0.821404i
$388$	−2.30901	+	3.99932i	−0.117222	+	0.203035i
$389$	−28.4669	−	10.3611i	−1.44333	−	0.525329i	−0.502609	−	0.864514i	$-0.667627\pi$
$389$	−28.4669	−	10.3611i	−1.44333	−	0.525329i	−0.940720	+	0.339185i	$0.889849\pi$
$390$	−38.4050	−	13.9783i	−1.94471	−	0.707818i
$391$	−1.35964	+	2.35497i	−0.0687601	+	0.119096i
$392$	0.500000	+	0.866025i	0.0252538	+	0.0437409i
$393$	−10.2096	−	57.9015i	−0.515006	−	2.92075i
$394$	8.46669	+	7.10439i	0.426545	+	0.357914i
$395$	26.8755	−	22.5513i	1.35226	−	1.13468i
$396$	−5.05249	+	28.6541i	−0.253897	+	1.43992i
$397$	20.6197	−	7.50495i	1.03487	−	0.376663i	0.231938	−	0.972730i	$-0.425493\pi$
$397$	20.6197	−	7.50495i	1.03487	−	0.376663i	0.802934	+	0.596068i	$0.203271\pi$
$398$	2.42328			0.121468
$399$	−4.65789	−	13.1902i	−0.233186	−	0.660338i
$400$	2.52666			0.126333
$401$	−29.8055	+	10.8483i	−1.48842	+	0.541740i	−0.953032	−	0.302869i	$-0.902056\pi$
$401$	−29.8055	+	10.8483i	−1.48842	+	0.541740i	−0.535385	+	0.844608i	$0.679833\pi$
$402$	6.85948	−	38.9020i	0.342120	−	1.94026i
$403$	4.92496	−	4.13253i	0.245330	−	0.205856i
$404$	3.88642	+	3.26109i	0.193357	+	0.162245i
$405$	10.6604	+	60.4579i	0.529717	+	3.00418i
$406$	−2.91811	−	5.05432i	−0.144824	−	0.250842i
$407$	18.8194	−	32.5962i	0.932845	−	1.61574i
$408$	−15.7560	−	5.73470i	−0.780037	−	0.283910i
$409$	11.6143	+	4.22725i	0.574289	+	0.209024i	0.612806	−	0.790234i	$-0.290041\pi$
$409$	11.6143	+	4.22725i	0.574289	+	0.209024i	−0.0385162	+	0.999258i	$0.512263\pi$
$410$	12.8982	−	22.3404i	0.636998	−	1.10331i
$411$	−6.72028	−	11.6399i	−0.331487	−	0.574153i
$412$	−0.243128	−	1.37885i	−0.0119781	−	0.0679310i
$413$	−0.824733	−	0.692033i	−0.0405825	−	0.0340527i
$414$	−2.91005	+	2.44182i	−0.143021	+	0.120009i
$415$	−0.714304	+	4.05102i	−0.0350638	+	0.198857i
$416$	4.36207	−	1.58766i	0.213868	−	0.0778416i
$417$	47.9686			2.34903
$418$	−17.0825	−	3.18156i	−0.835533	−	0.155615i
$419$	19.6277			0.958875			0.479438	−	0.877576i	$-0.340841\pi$
$419$	19.6277			0.958875			0.479438	+	0.877576i	$0.340841\pi$
$420$	8.27336	−	3.01125i	0.403698	−	0.146934i
$421$	2.98215	−	16.9126i	0.145341	−	0.824271i	−0.821751	−	0.569846i	$-0.807003\pi$
$421$	2.98215	−	16.9126i	0.145341	−	0.824271i	0.967093	−	0.254425i	$-0.0818861\pi$
$422$	−2.44692	+	2.05321i	−0.119114	+	0.0999489i
$423$	26.6704	+	22.3791i	1.29676	+	1.08811i
$424$	1.58229	+	8.97359i	0.0768426	+	0.435796i
$425$	−6.60056	−	11.4325i	−0.320174	−	0.554558i
$426$	−6.43023	+	11.1375i	−0.311545	+	0.539613i
$427$	1.44455	+	0.525775i	0.0699069	+	0.0254440i
$428$	17.2477	+	6.27766i	0.833700	+	0.303442i
$429$	−29.6928	+	51.4295i	−1.43358	+	2.48304i
$430$	3.50668	+	6.07376i	0.169107	+	0.292903i
$431$	5.62362	+	31.8932i	0.270880	+	1.53624i	0.751751	+	0.659448i	$0.229210\pi$
$431$	5.62362	+	31.8932i	0.270880	+	1.53624i	−0.480870	+	0.876792i	$0.659679\pi$
$432$	−10.5683	−	8.86782i	−0.508465	−	0.426653i
$433$	28.3050	−	23.7508i	1.36025	−	1.14139i	0.384350	−	0.923188i	$-0.374426\pi$
$433$	28.3050	−	23.7508i	1.36025	−	1.14139i	0.975904	−	0.218201i	$-0.0700187\pi$
$434$	−0.240498	+	1.36393i	−0.0115443	+	0.0654709i
$435$	−48.2852	+	17.5744i	−2.31510	+	0.842626i
$436$	−8.49097			−0.406643
$437$	−1.44150	−	1.75181i	−0.0689564	−	0.0838005i
$438$	−1.35689			−0.0648349
$439$	16.0579	−	5.84460i	0.766402	−	0.278947i	0.0709112	−	0.997483i	$-0.477409\pi$
$439$	16.0579	−	5.84460i	0.766402	−	0.278947i	0.695491	+	0.718535i	$0.255187\pi$
$440$	1.89911	−	10.7704i	0.0905367	−	0.513459i
$441$	5.59126	−	4.69162i	0.266251	−	0.223411i
$442$	−18.5791	−	15.5897i	−0.883718	−	0.741528i
$443$	2.25389	+	12.7825i	0.107086	+	0.607313i	0.990367	+	0.138469i	$0.0442182\pi$
$443$	2.25389	+	12.7825i	0.107086	+	0.607313i	−0.883281	+	0.468844i	$0.844671\pi$
$444$	15.1503	+	26.2411i	0.719002	+	1.24535i
$445$	−12.0419	+	20.8572i	−0.570842	+	0.988728i
$446$	−6.68834	−	2.43436i	−0.316702	−	0.115270i
$447$	−0.0519374	−	0.0189037i	−0.00245656	−	0.000894113i
$448$	−0.500000	+	0.866025i	−0.0236228	+	0.0409159i
$449$	−2.06509	−	3.57684i	−0.0974575	−	0.168801i	0.813174	−	0.582021i	$-0.197738\pi$
$449$	−2.06509	−	3.57684i	−0.0974575	−	0.168801i	−0.910632	+	0.413219i	$0.864404\pi$
$450$	−3.20237	−	18.1616i	−0.150961	−	0.856144i
$451$	−28.7140	−	24.0939i	−1.35209	−	1.13454i
$452$	−6.17713	+	5.18323i	−0.290548	+	0.243799i
$453$	−3.87290	+	21.9643i	−0.181965	+	1.03197i
$454$	14.1762	−	5.15973i	0.665324	−	0.242158i
$455$	12.7353			0.597038
$456$	9.09414	−	10.6290i	0.425872	−	0.497747i
$457$	32.4479			1.51785			0.758925	−	0.651178i	$-0.225725\pi$
$457$	32.4479			1.51785			0.758925	+	0.651178i	$0.225725\pi$
$458$	0.757673	−	0.275770i	0.0354037	−	0.0128859i
$459$	−12.5165	+	70.9848i	−0.584222	+	3.31329i
$460$	1.09382	−	0.917823i	0.0509996	−	0.0427937i
$461$	14.5607	+	12.2178i	0.678158	+	0.569042i	0.915467	−	0.402392i	$-0.131821\pi$
$461$	14.5607	+	12.2178i	0.678158	+	0.569042i	−0.237310	+	0.971434i	$0.576266\pi$
$462$	−2.22149	−	12.5987i	−0.103353	−	0.586145i
$463$	−5.89502	−	10.2105i	−0.273965	−	0.474521i	0.695909	−	0.718130i	$-0.255002\pi$
$463$	−5.89502	−	10.2105i	−0.273965	−	0.474521i	−0.969873	+	0.243609i	$0.921669\pi$
$464$	2.91811	−	5.05432i	0.135470	−	0.234641i
$465$	11.4584	+	4.17051i	0.531370	+	0.193403i
$466$	−8.86853	−	3.22788i	−0.410827	−	0.149529i
$467$	15.5327	−	26.9034i	0.718766	−	1.24494i	−0.242723	−	0.970096i	$-0.578041\pi$
$467$	15.5327	−	26.9034i	0.718766	−	1.24494i	0.961489	−	0.274844i	$-0.0886261\pi$
$468$	−16.9407	−	29.3422i	−0.783086	−	1.35634i
$469$	2.13745	+	12.1221i	0.0986984	+	0.559746i
$470$	−10.0248	−	8.41177i	−0.462408	−	0.388006i
$471$	51.4059	−	43.1347i	2.36866	−	1.98754i
$472$	0.186952	−	1.06026i	0.00860516	−	0.0488023i
$473$	9.57616	−	3.48544i	0.440312	−	0.160261i
$474$	41.0390			1.88499
$475$	10.8640	−	1.80821i	0.498474	−	0.0829663i
$476$	5.22474			0.239475
$477$	62.4966	−	22.7469i	2.86152	−	1.04151i
$478$	0.337372	−	1.91333i	0.0154310	−	0.0875138i
$479$	−10.7640	+	9.03208i	−0.491820	+	0.412686i	−0.854678	−	0.519158i	$-0.826246\pi$
$479$	−10.7640	+	9.03208i	−0.491820	+	0.412686i	0.362858	+	0.931845i	$0.381801\pi$
$480$	6.74450	+	5.65931i	0.307843	+	0.258311i
$481$	7.61086	+	43.1633i	0.347025	+	1.96808i
$482$	11.7127	+	20.2870i	0.533500	+	0.924050i
$483$	0.835133	−	1.44649i	0.0379998	−	0.0658177i
$484$	−4.59633	−	1.67293i	−0.208924	−	0.0760421i
$485$	−11.9053	−	4.33319i	−0.540594	−	0.196760i
$486$	−15.2120	+	26.3480i	−0.690031	+	1.19517i
$487$	5.24593	+	9.08621i	0.237716	+	0.411736i	0.960058	−	0.279800i	$-0.0902680\pi$
$487$	5.24593	+	9.08621i	0.237716	+	0.411736i	−0.722343	+	0.691535i	$0.756935\pi$
$488$	0.266943	+	1.51391i	0.0120839	+	0.0685314i
$489$	−21.9764	−	18.4404i	−0.993806	−	0.833902i
$490$	−2.10162	+	1.76347i	−0.0949417	+	0.0796655i
$491$	−0.242185	+	1.37350i	−0.0109297	+	0.0619853i	−0.989785	−	0.142570i	$-0.954464\pi$
$491$	−0.242185	+	1.37350i	−0.0109297	+	0.0619853i	0.978855	+	0.204555i	$0.0655747\pi$
$492$	28.3557	−	10.3206i	1.27837	−	0.465289i
$493$	−30.4928			−1.37332
$494$	17.6196	−	9.94828i	0.792742	−	0.447594i
$495$	−79.8246			−3.58785
$496$	−1.30145	+	0.473689i	−0.0584369	+	0.0212693i
$497$	0.695876	−	3.94651i	0.0312143	−	0.177025i
$498$	−3.68605	+	3.09296i	−0.165176	+	0.138599i
$499$	16.0583	+	13.4745i	0.718869	+	0.603203i	0.927072	−	0.374883i	$-0.122317\pi$
$499$	16.0583	+	13.4745i	0.718869	+	0.603203i	−0.208203	+	0.978086i	$0.566761\pi$
$500$	−1.17830	−	6.68247i	−0.0526952	−	0.298849i
$501$	−29.1091	−	50.4184i	−1.30050	−	2.25253i
$502$	0.732301	−	1.26838i	0.0326842	−	0.0566107i
$503$	−23.0491	−	8.38919i	−1.02771	−	0.374056i	−0.227501	−	0.973778i	$-0.573056\pi$
$503$	−23.0491	−	8.38919i	−1.02771	−	0.374056i	−0.800208	+	0.599722i	$0.795278\pi$
$504$	6.85870	+	2.49636i	0.305511	+	0.111197i
$505$	−6.95932	+	12.0539i	−0.309685	+	0.536391i
$506$	−1.03739	−	1.79681i	−0.0461174	−	0.0798778i
$507$	−4.76371	−	27.0163i	−0.211564	−	1.19984i
$508$	−10.0674	−	8.44754i	−0.446668	−	0.374799i
$509$	−7.39246	+	6.20301i	−0.327665	+	0.274944i	−0.791748	−	0.610848i	$-0.790829\pi$
$509$	−7.39246	+	6.20301i	−0.327665	+	0.274944i	0.464083	+	0.885792i	$0.346384\pi$
$510$	7.98786	−	45.3014i	0.353709	−	2.00598i
$511$	0.397317	−	0.144612i	0.0175763	−	0.00639724i
$512$	−1.00000			−0.0441942
$513$	−51.7871	−	30.5662i	−2.28646	−	1.34953i
$514$	20.5292			0.905505
$515$	3.60954	−	1.31377i	0.159055	−	0.0578914i
$516$	−1.42459	+	8.07927i	−0.0627142	+	0.355670i
$517$	−14.5664	+	12.2227i	−0.640631	+	0.537553i
$518$	−7.23287	−	6.06910i	−0.317794	−	0.266661i
$519$	−1.10177	−	6.24846i	−0.0483624	−	0.274277i
$520$	6.36763	+	11.0291i	0.279239	+	0.483656i
$521$	11.2092	−	19.4148i	0.491082	−	0.850579i	−0.508865	−	0.860846i	$-0.669935\pi$
$521$	11.2092	−	19.4148i	0.491082	−	0.850579i	0.999947	+	0.0102674i	$0.00326827\pi$
$522$	−40.0289	−	14.5693i	−1.75202	−	0.637682i
$523$	−36.4062	−	13.2508i	−1.59193	−	0.579416i	−0.614178	−	0.789167i	$-0.710512\pi$
$523$	−36.4062	−	13.2508i	−1.59193	−	0.579416i	−0.977755	+	0.209751i	$0.932735\pi$
$524$	−9.16039	+	15.8663i	−0.400173	+	0.693121i
$525$	4.05425	+	7.02217i	0.176942	+	0.306473i
$526$	−3.00782	−	17.0582i	−0.131147	−	0.743772i
$527$	5.54320	+	4.65130i	0.241466	+	0.202614i
$528$	9.80006	−	8.22323i	0.426493	−	0.357870i
$529$	−3.94687	+	22.3838i	−0.171603	+	0.973209i
$530$	−23.4910	+	8.55003i	−1.02038	+	0.371389i
$531$	−7.85806			−0.341011
$532$	−1.53010	+	4.08152i	−0.0663383	+	0.176956i
$533$	43.6481			1.89061
$534$	−26.4732	+	9.63544i	−1.14561	+	0.416966i
$535$	−8.74414	+	49.5905i	−0.378042	+	2.14398i
$536$	−9.42931	+	7.91213i	−0.407284	+	0.341752i
$537$	−47.7448	−	40.0627i	−2.06034	−	1.72883i
$538$	1.91833	+	10.8794i	0.0827052	+	0.469045i
$539$	1.99320	+	3.45232i	0.0858530	+	0.148702i
$540$	18.9243	−	32.7779i	0.814373	−	1.41054i
$541$	10.3815	+	3.77854i	0.446334	+	0.162452i	0.555402	−	0.831582i	$-0.312564\pi$
$541$	10.3815	+	3.77854i	0.446334	+	0.162452i	−0.109068	+	0.994034i	$0.534787\pi$
$542$	25.2490	+	9.18989i	1.08454	+	0.394739i
$543$	4.08372	−	7.07320i	0.175249	−	0.303540i
$544$	2.61237	+	4.52476i	0.112004	+	0.193997i
$545$	−4.04509	−	22.9409i	−0.173273	−	0.982678i
$546$	11.4118	+	9.57566i	0.488381	+	0.409801i
$547$	−24.7783	+	20.7915i	−1.05944	+	0.888979i	−0.994055	−	0.108881i	$-0.965273\pi$
$547$	−24.7783	+	20.7915i	−1.05944	+	0.888979i	−0.0653888	+	0.997860i	$0.520829\pi$
$548$	−0.727266	+	4.12453i	−0.0310672	+	0.176191i
$549$	10.5436	−	3.83756i	0.449991	−	0.163783i
$550$	10.0722			0.429482
$551$	8.93001	−	23.8207i	0.380431	−	1.01479i
$552$	1.67027			0.0710912
$553$	−12.0168	+	4.37375i	−0.511006	+	0.185991i
$554$	3.11836	−	17.6851i	0.132486	−	0.751367i
$555$	−63.6805	+	53.4343i	−2.70309	+	2.26816i
$556$	−11.4503	−	9.60792i	−0.485600	−	0.407467i
$557$	−0.687235	−	3.89750i	−0.0291191	−	0.165143i	0.966781	−	0.255608i	$-0.0822756\pi$
$557$	−0.687235	−	3.89750i	−0.0291191	−	0.165143i	−0.995900	+	0.0904654i	$0.971165\pi$
$558$	5.05438	+	8.75444i	0.213969	+	0.370605i
$559$	−5.93338	+	10.2769i	−0.250955	+	0.434667i
$560$	−2.57802	−	0.938324i	−0.108941	−	0.0396514i
$561$	−62.8095	−	22.8608i	−2.65182	−	0.965183i
$562$	4.17787	−	7.23628i	0.176233	−	0.305244i
$563$	5.42183	+	9.39088i	0.228503	+	0.395779i	0.957365	−	0.288882i	$-0.0932836\pi$
$563$	5.42183	+	9.39088i	0.228503	+	0.395779i	−0.728862	+	0.684661i	$0.759950\pi$
$564$	−2.65818	−	15.0753i	−0.111930	−	0.634784i
$565$	−16.9468	−	14.2201i	−0.712957	−	0.598242i
$566$	−7.57664	+	6.35756i	−0.318470	+	0.267228i
$567$	3.88571	−	22.0370i	0.163185	−	0.925465i
$568$	3.76571	−	1.37061i	0.158006	−	0.0575094i
$569$	35.0709			1.47025			0.735123	−	0.677933i	$-0.237124\pi$
$569$	35.0709			1.47025			0.735123	+	0.677933i	$0.237124\pi$
$570$	33.0498	+	19.5069i	1.38430	+	0.817053i
$571$	4.49506			0.188112			0.0940561	−	0.995567i	$-0.470017\pi$
$571$	4.49506			0.188112			0.0940561	+	0.995567i	$0.470017\pi$
$572$	17.3889	−	6.32904i	0.727067	−	0.264631i
$573$	10.1236	−	57.4139i	0.422921	−	2.39850i
$574$	−7.20299	+	6.04403i	−0.300647	+	0.252273i
$575$	1.00737	+	0.845287i	0.0420104	+	0.0352509i
$576$	1.26744	+	7.18799i	0.0528098	+	0.299499i
$577$	16.6507	+	28.8399i	0.693179	+	1.20062i	0.970791	+	0.239928i	$0.0771239\pi$
$577$	16.6507	+	28.8399i	0.693179	+	1.20062i	−0.277611	+	0.960693i	$0.589543\pi$
$578$	5.14894	−	8.91823i	0.214168	−	0.370950i
$579$	37.7878	+	13.7536i	1.57041	+	0.571582i
$580$	15.0459	+	5.47627i	0.624748	+	0.227390i
$581$	0.749691	−	1.29850i	0.0311024	−	0.0538710i
$582$	−7.41003	−	12.8345i	−0.307156	−	0.532009i
$583$	6.30761	+	35.7722i	0.261235	+	1.48153i
$584$	0.323896	+	0.271781i	0.0134029	+	0.0112464i
$585$	71.2061	−	59.7490i	2.94401	−	2.47032i
$586$	4.44501	−	25.2089i	0.183622	−	1.04137i
$587$	−2.82298	+	1.02748i	−0.116517	+	0.0424087i	−0.399621	−	0.916681i	$-0.630858\pi$
$587$	−2.82298	+	1.02748i	−0.116517	+	0.0424087i	0.283104	+	0.959089i	$0.408636\pi$
$588$	−3.20919			−0.132345
$589$	−5.25691	+	2.96813i	−0.216607	+	0.122300i
$590$	2.95366			0.121600
$591$	−33.3304	+	12.1313i	−1.37103	+	0.499013i
$592$	1.63956	−	9.29840i	0.0673855	−	0.382162i
$593$	9.53295	−	7.99910i	0.391471	−	0.328484i	−0.425715	−	0.904857i	$-0.639977\pi$
$593$	9.53295	−	7.99910i	0.391471	−	0.328484i	0.817186	+	0.576374i	$0.195533\pi$
$594$	−42.1292	−	35.3506i	−1.72858	−	1.45045i
$595$	2.48906	+	14.1162i	0.102042	+	0.578707i
$596$	0.00861132	+	0.0149152i	0.000352733	+	0.000610952i
$597$	−3.88838	+	6.73488i	−0.159141	+	0.275640i
$598$	2.27030	+	0.826321i	0.0928394	+	0.0337908i
$599$	32.0256	+	11.6564i	1.30853	+	0.476266i	0.899766	−	0.436373i	$-0.143737\pi$
$599$	32.0256	+	11.6564i	1.30853	+	0.476266i	0.408765	+	0.912640i	$0.365960\pi$
$600$	−4.05425	+	7.02217i	−0.165514	+	0.286679i
$601$	6.66239	+	11.5396i	0.271764	+	0.470710i	0.969314	−	0.245827i	$-0.0790595\pi$
$601$	6.66239	+	11.5396i	0.271764	+	0.470710i	−0.697549	+	0.716537i	$0.745726\pi$
$602$	−0.443911	−	2.51754i	−0.0180925	−	0.102607i
$603$	68.8234	+	57.7496i	2.80270	+	2.35175i
$604$	5.32384	−	4.46724i	0.216624	−	0.181769i
$605$	2.33022	−	13.2153i	0.0947368	−	0.537279i
$606$	−15.2995	+	5.56855i	−0.621498	+	0.226207i
$607$	−42.2842			−1.71626			−0.858132	−	0.513430i	$-0.828375\pi$
$607$	−42.2842			−1.71626			−0.858132	+	0.513430i	$0.828375\pi$
$608$	−4.29975	+	0.715653i	−0.174378	+	0.0290236i
$609$	18.7295			0.758959
$610$	−3.96310	+	1.44245i	−0.160461	+	0.0584031i
$611$	3.84500	−	21.8061i	0.155552	−	0.882179i
$612$	29.2129	−	24.5125i	1.18086	−	0.990859i
$613$	17.9617	+	15.0716i	0.725465	+	0.608737i	0.928891	−	0.370353i	$-0.120763\pi$
$613$	17.9617	+	15.0716i	0.725465	+	0.608737i	−0.203426	+	0.979090i	$0.565208\pi$
$614$	−1.61384	−	9.15254i	−0.0651293	−	0.369366i
$615$	41.3928	+	71.6945i	1.66912	+	2.89100i
$616$	−1.99320	+	3.45232i	−0.0803081	+	0.139098i
$617$	−20.0968	−	7.31462i	−0.809065	−	0.294476i	−0.0958277	−	0.995398i	$-0.530550\pi$
$617$	−20.0968	−	7.31462i	−0.809065	−	0.294476i	−0.713238	+	0.700922i	$0.752772\pi$
$618$	4.22227	+	1.53678i	0.169845	+	0.0618184i
$619$	−10.6604	+	18.4643i	−0.428477	+	0.742144i	−0.996738	−	0.0807043i	$-0.974283\pi$
$619$	−10.6604	+	18.4643i	−0.428477	+	0.742144i	0.568261	+	0.822848i	$0.307616\pi$
$620$	−1.89982	−	3.29059i	−0.0762987	−	0.132153i
$621$	−1.24684	−	7.07117i	−0.0500339	−	0.283756i
$622$	5.38906	+	4.52196i	0.216082	+	0.181314i
$623$	6.72479	−	5.64277i	0.269423	−	0.226073i
$624$	−2.58685	+	14.6708i	−0.103557	+	0.587301i
$625$	29.3647	−	10.6879i	1.17459	−	0.427515i
$626$	−29.7865			−1.19051
$627$	36.2528	−	42.3713i	1.44780	−	1.69214i
$628$	−20.9105			−0.834419
$629$	−46.3561	+	16.8723i	−1.84834	+	0.672741i
$630$	−3.47718	+	19.7201i	−0.138534	+	0.785666i
$631$	11.1397	−	9.34734i	0.443466	−	0.372112i	−0.393539	−	0.919308i	$-0.628749\pi$
$631$	11.1397	−	9.34734i	0.443466	−	0.372112i	0.837004	+	0.547196i	$0.184305\pi$
$632$	−9.79617	−	8.21996i	−0.389671	−	0.326973i
$633$	−1.78005	−	10.0952i	−0.0707505	−	0.401246i
$634$	9.49264	+	16.4417i	0.377001	+	0.652985i
$635$	18.0274	−	31.2244i	0.715397	−	1.23910i
$636$	−27.4787	−	10.0014i	−1.08960	−	0.396582i
$637$	−4.36207	−	1.58766i	−0.172831	−	0.0629055i
$638$	11.6327	−	20.1485i	0.460545	−	0.797687i
$639$	−14.6247	−	25.3307i	−0.578544	−	1.00207i
$640$	−0.476399	−	2.70180i	−0.0188313	−	0.106798i
$641$	−4.76204	−	3.99583i	−0.188089	−	0.157826i	0.543881	−	0.839163i	$-0.316954\pi$
$641$	−4.76204	−	3.99583i	−0.188089	−	0.157826i	−0.731970	+	0.681337i	$0.761399\pi$
$642$	−45.1227	+	37.8624i	−1.78085	+	1.49431i
$643$	6.74890	−	38.2749i	0.266151	−	1.50942i	−0.499588	−	0.866263i	$-0.666515\pi$
$643$	6.74890	−	38.2749i	0.266151	−	1.50942i	0.765738	−	0.643152i	$-0.222374\pi$
$644$	−0.489076	+	0.178009i	−0.0192723	+	0.00701454i
$645$	−22.5072			−0.886220
$646$	14.4707	+	17.5858i	0.569342	+	0.691903i
$647$	−26.3165			−1.03461			−0.517303	−	0.855802i	$-0.673064\pi$
$647$	−26.3165			−1.03461			−0.517303	+	0.855802i	$0.673064\pi$
$648$	21.0274	−	7.65336i	0.826035	−	0.300652i
$649$	0.745263	−	4.22660i	0.0292541	−	0.165908i
$650$	−8.98476	+	7.53911i	−0.352411	+	0.295708i
$651$	−3.40479	−	2.85696i	−0.133444	−	0.111973i
$652$	1.55231	+	8.80356i	0.0607930	+	0.344774i
$653$	−10.8052	−	18.7151i	−0.422840	−	0.732380i	0.573376	−	0.819292i	$-0.305633\pi$
$653$	−10.8052	−	18.7151i	−0.422840	−	0.732380i	−0.996216	+	0.0869125i	$0.972300\pi$
$654$	13.6245	−	23.5984i	0.532762	−	0.922770i
$655$	−47.2314	−	17.1908i	−1.84548	−	0.671701i
$656$	−8.83578	−	3.21596i	−0.344979	−	0.125562i
$657$	1.54304	−	2.67262i	0.0601997	−	0.104269i
$658$	2.38500	+	4.13095i	0.0929771	+	0.161041i
$659$	1.12073	+	6.35600i	0.0436576	+	0.247595i	0.998824	−	0.0484734i	$-0.0154356\pi$
$659$	1.12073	+	6.35600i	0.0436576	+	0.247595i	−0.955167	+	0.296068i	$0.904324\pi$
$660$	26.8862	+	22.5602i	1.04654	+	0.878155i
$661$	4.69666	−	3.94097i	0.182679	−	0.153286i	−0.546863	−	0.837222i	$-0.684178\pi$
$661$	4.69666	−	3.94097i	0.182679	−	0.153286i	0.729541	+	0.683937i	$0.239734\pi$
$662$	1.50762	−	8.55012i	0.0585952	−	0.332310i
$663$	73.1395	−	26.6206i	2.84050	−	1.03386i
$664$	1.49938			0.0581873
$665$	−11.7564	−	2.18959i	−0.455892	−	0.0849085i
$666$	−68.9148			−2.67040
$667$	2.85436	−	1.03890i	0.110521	−	0.0402264i
$668$	−3.15017	+	17.8655i	−0.121884	+	0.691237i
$669$	17.4977	−	14.6823i	0.676501	−	0.567652i
$670$	−25.8691	−	21.7067i	−0.999410	−	0.838605i
$671$	1.06414	+	6.03503i	0.0410806	+	0.232980i
$672$	−1.60459	−	2.77924i	−0.0618985	−	0.107211i
$673$	−4.81903	+	8.34680i	−0.185760	+	0.321745i	−0.943832	−	0.330425i	$-0.892808\pi$
$673$	−4.81903	+	8.34680i	−0.185760	+	0.321745i	0.758073	+	0.652170i	$0.226141\pi$
$674$	15.7768	+	5.74230i	0.607701	+	0.221185i
$675$	32.7553	+	11.9219i	1.26075	+	0.458876i
$676$	−4.27415	+	7.40305i	−0.164391	+	0.284733i
$677$	−0.859818	−	1.48925i	−0.0330455	−	0.0572364i	0.849030	−	0.528345i	$-0.177187\pi$
$677$	−0.859818	−	1.48925i	−0.0330455	−	0.0572364i	−0.882075	+	0.471109i	$0.843854\pi$
$678$	−4.49364	−	25.4847i	−0.172577	−	0.978733i
$679$	3.53760	+	2.96840i	0.135761	+	0.113917i
$680$	−10.9804	+	9.21368i	−0.421080	+	0.353328i
$681$	−8.40699	+	47.6784i	−0.322157	+	1.82704i
$682$	−5.18809	+	1.88831i	−0.198662	+	0.0723072i
$683$	9.63395			0.368633			0.184317	−	0.982867i	$-0.440993\pi$
$683$	9.63395			0.368633			0.184317	+	0.982867i	$0.440993\pi$
$684$	10.5938	+	29.9995i	0.405063	+	1.14706i
$685$	−11.4901			−0.439014
$686$	0.939693	−	0.342020i	0.0358776	−	0.0130584i
$687$	−0.449325	+	2.54825i	−0.0171428	+	0.0972218i
$688$	1.95830	−	1.64321i	0.0746596	−	0.0626468i
$689$	−32.4023	−	27.1887i	−1.23443	−	1.03581i
$690$	0.795713	+	4.51271i	0.0302923	+	0.171796i
$691$	−19.2841	−	33.4011i	−0.733602	−	1.27064i	−0.955334	−	0.295528i	$-0.904504\pi$
$691$	−19.2841	−	33.4011i	−0.733602	−	1.27064i	0.221732	−	0.975108i	$-0.428829\pi$
$692$	−0.988545	+	1.71221i	−0.0375789	+	0.0650885i
$693$	27.3414	+	9.95147i	1.03862	+	0.378025i
$694$	13.1445	+	4.78419i	0.498957	+	0.181606i
$695$	20.5037	−	35.5135i	0.777751	−	1.34710i
$696$	9.36477	+	16.2203i	0.354971	+	0.614827i
$697$	8.53088	+	48.3810i	0.323130	+	1.83256i
$698$	13.5706	+	11.3871i	0.513654	+	0.431007i
$699$	23.2014	−	19.4683i	0.877558	−	0.736359i
$700$	0.438749	−	2.48827i	0.0165832	−	0.0940478i
$701$	22.4392	−	8.16721i	0.847518	−	0.308471i	0.118490	−	0.992955i	$-0.462195\pi$
$701$	22.4392	−	8.16721i	0.847518	−	0.308471i	0.729028	+	0.684484i	$0.239972\pi$
$702$	64.0407			2.41706
$703$	0.395259	−	41.1542i	0.0149075	−	1.55216i
$704$	−3.98639			−0.150243
$705$	39.4640	−	14.3637i	1.48630	−	0.540969i
$706$	1.36164	−	7.72226i	0.0512461	−	0.290631i
$707$	3.88642	−	3.26109i	0.146164	−	0.122646i
$708$	2.64672	+	2.22086i	0.0994699	+	0.0834652i
$709$	−3.08465	−	17.4939i	−0.115847	−	0.656998i	−0.986328	−	0.164797i	$-0.947303\pi$
$709$	−3.08465	−	17.4939i	−0.115847	−	0.656998i	0.870481	−	0.492202i	$-0.163808\pi$
$710$	5.49708	+	9.52123i	0.206302	+	0.357325i
$711$	−46.6690	+	80.8330i	−1.75022	+	3.03147i
$712$	8.24918	+	3.00246i	0.309151	+	0.112522i
$713$	−0.677358	−	0.246538i	−0.0253673	−	0.00923293i
$714$	−8.38358	+	14.5208i	−0.313747	+	0.543427i
$715$	25.3838	+	43.9661i	0.949302	+	1.64424i
$716$	3.37247	+	19.1262i	0.126035	+	0.714780i
$717$	4.77626	+	4.00776i	0.178373	+	0.149672i
$718$	−11.3158	+	9.49512i	−0.422304	+	0.354355i
$719$	−1.09514	+	6.21083i	−0.0408417	+	0.231625i	−0.998395	−	0.0566309i	$-0.981964\pi$
$719$	−1.09514	+	6.21083i	−0.0408417	+	0.231625i	0.957553	+	0.288256i	$0.0930753\pi$
$720$	−18.8167	+	6.84870i	−0.701256	+	0.255236i
$721$	−1.40012			−0.0521432
$722$	−17.9757	+	6.15426i	−0.668986	+	0.229038i
$723$	−75.1767			−2.79585
$724$	−2.39153	+	0.870447i	−0.0888806	+	0.0323499i
$725$	−2.56064	+	14.5221i	−0.0950997	+	0.539337i
$726$	12.0247	−	10.0899i	0.446278	−	0.374472i
$727$	−8.96626	−	7.52359i	−0.332540	−	0.279034i	0.461194	−	0.887299i	$-0.347421\pi$
$727$	−8.96626	−	7.52359i	−0.332540	−	0.279034i	−0.793734	+	0.608265i	$0.791866\pi$
$728$	−0.806078	−	4.57149i	−0.0298752	−	0.169431i
$729$	−15.2528	−	26.4187i	−0.564920	−	0.978470i
$730$	−0.579992	+	1.00458i	−0.0214665	+	0.0371810i
$731$	−12.5509	−	4.56817i	−0.464213	−	0.168960i
$732$	−4.63584	−	1.68731i	−0.171346	−	0.0623647i
$733$	−8.42648	+	14.5951i	−0.311239	+	0.539082i	−0.978631	−	0.205625i	$-0.934077\pi$
$733$	−8.42648	+	14.5951i	−0.311239	+	0.539082i	0.667392	+	0.744707i	$0.267411\pi$
$734$	2.71324	+	4.69947i	0.100147	+	0.173460i
$735$	−1.52885	−	8.67056i	−0.0563926	−	0.319819i
$736$	−0.398698	−	0.334548i	−0.0146962	−	0.0123316i
$737$	−37.5889	+	31.5409i	−1.38461	+	1.16182i
$738$	−11.9175	+	67.5875i	−0.438689	+	2.48793i
$739$	−31.4944	+	11.4630i	−1.15854	+	0.421675i	−0.848576	−	0.529073i	$-0.822540\pi$
$739$	−31.4944	+	11.4630i	−1.15854	+	0.421675i	−0.309965	+	0.950748i	$0.600317\pi$
$740$	25.9035			0.952230
$741$	−0.623629	+	64.9319i	−0.0229096	+	2.38533i
$742$	9.11202			0.334513
$743$	−19.8703	+	7.23220i	−0.728971	+	0.265324i	−0.679729	−	0.733463i	$-0.737903\pi$
$743$	−19.8703	+	7.23220i	−0.728971	+	0.265324i	−0.0492416	+	0.998787i	$0.515680\pi$
$744$	0.771804	−	4.37712i	0.0282957	−	0.160473i
$745$	−0.0361955	+	0.0303716i	−0.00132610	+	0.00111273i
$746$	23.1026	+	19.3853i	0.845845	+	0.709748i
$747$	−1.90037	−	10.7775i	−0.0695309	−	0.394329i
$748$	10.4139	+	18.0374i	0.380771	+	0.659514i
$749$	9.17732	−	15.8956i	0.335332	−	0.580812i
$750$	20.4629	+	7.44787i	0.747198	+	0.271958i
$751$	9.03156	+	3.28722i	0.329566	+	0.119952i	0.501504	−	0.865156i	$-0.332780\pi$
$751$	9.03156	+	3.28722i	0.329566	+	0.119952i	−0.171937	+	0.985108i	$0.555003\pi$
$752$	−2.38500	+	4.13095i	−0.0869721	+	0.150640i
$753$	2.35009	+	4.07048i	0.0856420	+	0.148336i
$754$	4.70445	+	26.6803i	0.171326	+	0.971638i
$755$	14.6058	+	12.2557i	0.531561	+	0.446032i
$756$	−10.5683	+	8.86782i	−0.384364	+	0.322519i
$757$	5.78152	−	32.7886i	0.210133	−	1.19172i	−0.679022	−	0.734118i	$-0.737596\pi$
$757$	5.78152	−	32.7886i	0.210133	−	1.19172i	0.889155	−	0.457606i	$-0.151293\pi$
$758$	20.8450	−	7.58695i	0.757123	−	0.275570i
$759$	6.65833			0.241682
$760$	−3.98195	−	11.2761i	−0.144440	−	0.409027i
$761$	−26.5600			−0.962801			−0.481400	−	0.876501i	$-0.659872\pi$
$761$	−26.5600			−0.962801			−0.481400	+	0.876501i	$0.659872\pi$
$762$	39.6318	−	14.4248i	1.43571	−	0.522555i
$763$	−1.47444	+	8.36197i	−0.0533783	+	0.302724i
$764$	−13.9163	+	11.6772i	−0.503476	+	0.422466i
$765$	80.1448	+	67.2495i	2.89764	+	2.43141i
$766$	2.35416	+	13.3511i	0.0850593	+	0.482395i
$767$	2.49883	+	4.32809i	0.0902274	+	0.156278i
$768$	1.60459	−	2.77924i	0.0579008	−	0.100287i
$769$	−6.02900	−	2.19438i	−0.217411	−	0.0791313i	0.231018	−	0.972949i	$-0.425794\pi$
$769$	−6.02900	−	2.19438i	−0.217411	−	0.0791313i	−0.448430	+	0.893818i	$0.648017\pi$
$770$	−10.2770	−	3.74053i	−0.370358	−	0.134799i
$771$	−32.9410	+	57.0555i	−1.18634	+	2.05481i
$772$	−6.26529	−	10.8518i	−0.225493	−	0.390565i
$773$	−5.71755	−	32.4258i	−0.205646	−	1.16628i	−0.896420	−	0.443206i	$-0.853841\pi$
$773$	−5.71755	−	32.4258i	−0.205646	−	1.16628i	0.690774	−	0.723071i	$-0.257270\pi$
$774$	−14.2934	−	11.9936i	−0.513766	−	0.431100i
$775$	2.68066	−	2.24934i	0.0962922	−	0.0807987i
$776$	−0.801909	+	4.54785i	−0.0287869	+	0.163258i
$777$	28.4733	−	10.3634i	1.02147	−	0.371786i
$778$	−30.2938			−1.08609
$779$	−40.2932	−	7.50447i	−1.44365	−	0.268876i
$780$	−40.8698			−1.46337
$781$	15.0116	−	5.46378i	0.537157	−	0.195509i
$782$	−0.472199	+	2.67798i	−0.0168858	+	0.0957642i
$783$	61.6787	−	51.7546i	2.20422	−	1.84956i
$784$	0.766044	+	0.642788i	0.0273587	+	0.0229567i
$785$	−9.96174	−	56.4959i	−0.355550	−	2.01642i
$786$	−29.3974	−	50.9178i	−1.04857	−	1.81618i
$787$	−23.3880	+	40.5093i	−0.833694	+	1.44400i	0.0613959	+	0.998113i	$0.480445\pi$
$787$	−23.3880	+	40.5093i	−0.833694	+	1.44400i	−0.895090	+	0.445886i	$0.852889\pi$
$788$	10.3859	+	3.78017i	0.369983	+	0.134663i
$789$	52.2350	+	19.0120i	1.85962	+	0.676845i
$790$	17.5418	−	30.3832i	0.624108	−	1.08099i
$791$	4.03184	+	6.98335i	0.143356	+	0.248299i
$792$	5.05249	+	28.6541i	0.179533	+	1.01818i
$793$	−5.46649	−	4.58693i	−0.194121	−	0.162887i
$794$	16.8093	−	14.1047i	0.596541	−	0.500557i
$795$	13.9310	−	79.0064i	0.494080	−	2.80207i
$796$	2.27714	−	0.828812i	0.0807111	−	0.0293765i
$797$	−52.2887			−1.85216			−0.926080	−	0.377327i	$-0.876843\pi$
$797$	−52.2887			−1.85216			−0.926080	+	0.377327i	$0.876843\pi$
$798$	−8.88832	−	10.8017i	−0.314643	−	0.382376i
$799$	24.9220			0.881678
$800$	2.37428	−	0.864167i	0.0839434	−	0.0305529i
$801$	11.1263	−	63.1004i	0.393129	−	2.22954i
$802$	−24.2977	+	20.3882i	−0.857981	+	0.719932i
$803$	1.29117	+	1.08342i	0.0455646	+	0.0382332i
$804$	−6.85948	−	38.9020i	−0.241915	−	1.37197i
$805$	−0.713940	−	1.23658i	−0.0251631	−	0.0435837i
$806$	3.21454	−	5.56774i	0.113227	−	0.196115i
$807$	−33.3146	−	12.1255i	−1.17273	−	0.426839i
$808$	4.76740	+	1.73519i	0.167716	+	0.0610438i
$809$	−21.1283	+	36.5953i	−0.742832	+	1.28662i	0.208369	+	0.978050i	$0.433184\pi$
$809$	−21.1283	+	36.5953i	−0.742832	+	1.28662i	−0.951201	+	0.308572i	$0.900149\pi$
$810$	30.6953	+	53.1657i	1.07852	+	1.86805i
$811$	−2.52228	−	14.3046i	−0.0885693	−	0.502302i	−0.996529	−	0.0832444i	$-0.973472\pi$
$811$	−2.52228	−	14.3046i	−0.0885693	−	0.502302i	0.907960	−	0.419057i	$-0.137639\pi$
$812$	−4.47081	−	3.75145i	−0.156895	−	0.131650i
$813$	−66.0552	+	55.4269i	−2.31666	+	1.94391i
$814$	6.53592	−	37.0671i	0.229084	−	1.29920i
$815$	−23.0459	+	8.38803i	−0.807263	+	0.293820i
$816$	−16.7672			−0.586968
$817$	7.24424	−	8.46686i	0.253444	−	0.296218i
$818$	12.3597			0.432145
$819$	−31.8382	+	11.5881i	−1.11252	+	0.404923i
$820$	4.47951	−	25.4046i	0.156431	−	0.887166i
$821$	18.5178	−	15.5382i	0.646274	−	0.542289i	−0.259663	−	0.965699i	$-0.583612\pi$
$821$	18.5178	−	15.5382i	0.646274	−	0.542289i	0.905938	+	0.423411i	$0.139167\pi$
$822$	−10.2961	−	8.63943i	−0.359117	−	0.301335i
$823$	−8.38988	−	47.5814i	−0.292453	−	1.65858i	−0.677379	−	0.735634i	$-0.736884\pi$
$823$	−8.38988	−	47.5814i	−0.292453	−	1.65858i	0.384926	−	0.922947i	$-0.374227\pi$
$824$	−0.700060	−	1.21254i	−0.0243877	−	0.0422408i
$825$	−16.1618	+	27.9931i	−0.562683	+	0.974595i
$826$	−1.01168	−	0.368223i	−0.0352010	−	0.0128121i
$827$	16.4951	+	6.00374i	0.573592	+	0.208770i	0.612497	−	0.790473i	$-0.290165\pi$
$827$	16.4951	+	6.00374i	0.573592	+	0.208770i	−0.0389057	+	0.999243i	$0.512387\pi$
$828$	−1.89940	+	3.28986i	−0.0660087	+	0.114330i
$829$	3.86516	+	6.69465i	0.134242	+	0.232515i	0.925308	−	0.379217i	$-0.123807\pi$
$829$	3.86516	+	6.69465i	0.134242	+	0.232515i	−0.791065	+	0.611732i	$0.790473\pi$
$830$	0.714304	+	4.05102i	0.0247939	+	0.140613i
$831$	44.1473	+	37.0440i	1.53145	+	1.28504i
$832$	3.55599	−	2.98383i	0.123282	−	0.103446i
$833$	0.907266	−	5.14536i	0.0314349	−	0.178276i
$834$	45.0757	−	16.4062i	1.56084	−	0.568101i
$835$	−49.7697			−1.72235
$836$	−17.1405	+	2.85287i	−0.592816	+	0.0986687i
$837$	−19.1069			−0.660433
$838$	18.4440	−	6.71306i	0.637137	−	0.231899i
$839$	−4.01460	+	22.7679i	−0.138599	+	0.786037i	0.833686	+	0.552239i	$0.186226\pi$
$839$	−4.01460	+	22.7679i	−0.138599	+	0.786037i	−0.972285	+	0.233798i	$0.924885\pi$
$840$	6.74450	−	5.65931i	0.232707	−	0.195265i
$841$	3.87736	+	3.25350i	0.133702	+	0.112189i
$842$	−2.98215	−	16.9126i	−0.102772	−	0.582848i
$843$	13.4075	+	23.2226i	0.461781	+	0.799827i
$844$	−1.59712	+	2.76629i	−0.0549750	+	0.0952195i
$845$	−22.0377	−	8.02108i	−0.758121	−	0.275934i
$846$	32.7160	+	11.9077i	1.12480	+	0.409394i
$847$	−2.44566	+	4.23600i	−0.0840337	+	0.145551i
$848$	4.55601	+	7.89124i	0.156454	+	0.270986i
$849$	−5.51173	−	31.2586i	−0.189162	−	1.07279i
$850$	−10.1126	−	8.48551i	−0.346861	−	0.291051i
$851$	3.76445	−	3.15875i	0.129044	−	0.108280i
$852$	−2.23319	+	12.6651i	−0.0765080	+	0.433898i
$853$	25.4629	−	9.26775i	0.871835	−	0.317322i	0.132925	−	0.991126i	$-0.457563\pi$
$853$	25.4629	−	9.26775i	0.871835	−	0.317322i	0.738910	+	0.673804i	$0.235341\pi$
$854$	1.53726			0.0526041
$855$	−76.0056	+	42.9139i	−2.59934	+	1.46763i
$856$	18.3546			0.627349
$857$	37.9139	−	13.7995i	1.29512	−	0.471384i	0.399713	−	0.916640i	$-0.369110\pi$
$857$	37.9139	−	13.7995i	1.29512	−	0.471384i	0.895403	+	0.445257i	$0.146888\pi$
$858$	−10.3122	+	58.4834i	−0.352053	+	1.99659i
$859$	−27.3971	+	22.9889i	−0.934779	+	0.784372i	−0.976669	−	0.214750i	$-0.931106\pi$
$859$	−27.3971	+	22.9889i	−0.934779	+	0.784372i	0.0418905	+	0.999122i	$0.486662\pi$
$860$	5.37255	+	4.50811i	0.183203	+	0.153725i
$861$	−5.23991	−	29.7170i	−0.178576	−	1.01275i
$862$	16.1926	+	28.0464i	0.551521	+	0.955263i
$863$	5.67098	−	9.82242i	0.193042	−	0.334359i	−0.753215	−	0.657775i	$-0.771498\pi$
$863$	5.67098	−	9.82242i	0.193042	−	0.334359i	0.946257	+	0.323416i	$0.104831\pi$
$864$	−12.9639	−	4.71847i	−0.441040	−	0.160526i
$865$	−5.09699	−	1.85515i	−0.173303	−	0.0630770i
$866$	18.4748	−	31.9993i	0.627799	−	1.08738i
$867$	16.5239	+	28.6203i	0.561182	+	0.971995i
$868$	0.240498	+	1.36393i	0.00816305	+	0.0462949i
$869$	−39.0514	−	32.7680i	−1.32473	−	1.11158i
$870$	−39.3624	+	33.0290i	−1.33451	+	1.11979i
$871$	9.92208	−	56.2709i	0.336197	−	1.90667i
$872$	−7.97890	+	2.90408i	−0.270200	+	0.0983446i
$873$	33.7063			1.14078
$874$	−1.95372	−	1.15314i	−0.0660857	−	0.0390056i
$875$	−6.78556			−0.229394
$876$	−1.27506	+	0.464085i	−0.0430804	+	0.0156800i
$877$	−3.67185	+	20.8241i	−0.123990	+	0.703180i	0.857913	+	0.513795i	$0.171761\pi$
$877$	−3.67185	+	20.8241i	−0.123990	+	0.703180i	−0.981903	+	0.189385i	$0.939350\pi$
$878$	13.0905	−	10.9843i	0.441784	−	0.370700i
$879$	62.9290	+	52.8037i	2.12254	+	1.78103i
$880$	−1.89911	−	10.7704i	−0.0640191	−	0.363071i
$881$	−7.76225	−	13.4446i	−0.261517	−	0.452960i	0.705128	−	0.709080i	$-0.250889\pi$
$881$	−7.76225	−	13.4446i	−0.261517	−	0.452960i	−0.966645	+	0.256119i	$0.917556\pi$
$882$	3.64944	−	6.32101i	0.122883	−	0.212839i
$883$	4.93706	+	1.79694i	0.166145	+	0.0604719i	0.423754	−	0.905777i	$-0.360712\pi$
$883$	4.93706	+	1.79694i	0.166145	+	0.0604719i	−0.257608	+	0.966249i	$0.582934\pi$
$884$	−22.7907	−	8.29512i	−0.766533	−	0.278995i
$885$	−4.73942	+	8.20892i	−0.159314	+	0.275940i
$886$	6.48983	+	11.2407i	0.218030	+	0.377639i
$887$	4.41134	+	25.0179i	0.148118	+	0.840020i	0.964810	+	0.262947i	$0.0846943\pi$
$887$	4.41134	+	25.0179i	0.148118	+	0.840020i	−0.816692	+	0.577074i	$0.804195\pi$
$888$	23.2116	+	19.4769i	0.778931	+	0.653601i
$889$	−10.0674	+	8.44754i	−0.337649	+	0.283321i
$890$	−4.18212	+	23.7180i	−0.140185	+	0.795028i
$891$	83.8235	−	30.5093i	2.80819	−	1.02210i
$892$	−7.11759			−0.238314
$893$	−7.29859	+	19.4689i	−0.244238	+	0.651501i
$894$	−0.0552706			−0.00184853
$895$	−50.0685	+	18.2234i	−1.67360	+	0.609142i
$896$	−0.173648	+	0.984808i	−0.00580118	+	0.0329001i
$897$	−5.93945	+	4.98379i	−0.198312	+	0.166404i
$898$	−3.16390	−	2.65483i	−0.105581	−	0.0885927i
$899$	−1.40360	−	7.96023i	−0.0468128	−	0.265489i
$900$	−9.22087	−	15.9710i	−0.307362	−	0.532367i
$901$	23.8040	−	41.2297i	0.793025	−	1.37356i
$902$	−35.2229	−	12.8201i	−1.17279	−	0.426862i
$903$	7.70915	+	2.80590i	0.256544	+	0.0933745i
$904$	−4.03184	+	6.98335i	−0.134097	+	0.232263i
$905$	−3.49109	−	6.04675i	−0.116048	−	0.201001i
$906$	3.87290	+	21.9643i	0.128669	+	0.729716i
$907$	−6.95325	−	5.83447i	−0.230879	−	0.193730i	0.520008	−	0.854162i	$-0.325929\pi$
$907$	−6.95325	−	5.83447i	−0.230879	−	0.193730i	−0.750887	+	0.660431i	$0.770374\pi$
$908$	11.5566	−	9.69712i	0.383519	−	0.321810i
$909$	6.43016	−	36.4672i	0.213275	−	1.20954i
$910$	11.9672	−	4.35571i	0.396710	−	0.144390i
$911$	46.2125			1.53109			0.765544	−	0.643383i	$-0.222470\pi$
$911$	46.2125			1.53109			0.765544	+	0.643383i	$0.222470\pi$
$912$	4.91038	−	13.0984i	0.162599	−	0.433730i
$913$	5.97712			0.197814
$914$	30.4911	−	11.0978i	1.00855	−	0.367084i
$915$	2.35025	−	13.3289i	0.0776969	−	0.440641i
$916$	0.617660	−	0.518279i	0.0204081	−	0.0171244i
$917$	14.0345	+	11.7764i	0.463461	+	0.388890i
$918$	12.5165	+	70.9848i	0.413107	+	2.34285i
$919$	−6.45013	−	11.1720i	−0.212770	−	0.368529i	0.739810	−	0.672816i	$-0.234915\pi$
$919$	−6.45013	−	11.1720i	−0.212770	−	0.368529i	−0.952580	+	0.304287i	$0.901582\pi$
$920$	0.713940	−	1.23658i	0.0235379	−	0.0407688i
$921$	28.0266	+	10.2009i	0.923509	+	0.336130i
$922$	17.8613	+	6.50098i	0.588231	+	0.214098i
$923$	−9.30118	+	16.1101i	−0.306152	+	0.530271i
$924$	−6.39653	−	11.0791i	−0.210431	−	0.364476i
$925$	4.14260	+	23.4939i	0.136208	+	0.772473i
$926$	−9.03170	−	7.57849i	−0.296800	−	0.249045i
$927$	−7.82843	+	6.56884i	−0.257120	+	0.215749i
$928$	1.01345	−	5.74756i	0.0332681	−	0.188673i
$929$	2.75523	−	1.00282i	0.0903961	−	0.0329015i	−0.296426	−	0.955056i	$-0.595795\pi$
$929$	2.75523	−	1.00282i	0.0903961	−	0.0329015i	0.386822	+	0.922154i	$0.373573\pi$
$930$	12.1938			0.399849
$931$	3.75381	+	2.21560i	0.123026	+	0.0726135i
$932$	−9.43769			−0.309142
$933$	−21.2148	+	7.72157i	−0.694543	+	0.252793i
$934$	5.39444	−	30.5934i	0.176511	−	1.00105i
$935$	−43.7723	+	36.7293i	−1.43151	+	1.20118i
$936$	−25.9547	−	21.7786i	−0.848357	−	0.711856i
$937$	6.70718	+	38.0383i	0.219114	+	1.24266i	0.873623	+	0.486603i	$0.161764\pi$
$937$	6.70718	+	38.0383i	0.219114	+	1.24266i	−0.654509	+	0.756054i	$0.727125\pi$
$938$	6.15455	+	10.6600i	0.200953	+	0.348061i
$939$	47.7953	−	82.7838i	1.55974	−	2.70155i
$940$	−12.2972	−	4.47581i	−0.401090	−	0.145985i
$941$	21.7396	+	7.91255i	0.708690	+	0.257942i	0.671116	−	0.741352i	$-0.265815\pi$
$941$	21.7396	+	7.91255i	0.708690	+	0.257942i	0.0375731	+	0.999294i	$0.488037\pi$
$942$	33.5528	−	58.1152i	1.09321	−	1.89349i
$943$	−2.44692	−	4.23819i	−0.0796827	−	0.138014i
$944$	−0.186952	−	1.06026i	−0.00608476	−	0.0345084i
$945$	−28.9937	−	24.3286i	−0.943167	−	0.791411i
$946$	7.80656	−	6.55048i	0.253813	−	0.212974i
$947$	−7.62471	+	43.2419i	−0.247770	+	1.40517i	0.566201	+	0.824267i	$0.308412\pi$
$947$	−7.62471	+	43.2419i	−0.247770	+	1.40517i	−0.813971	+	0.580905i	$0.802699\pi$
$948$	38.5641	−	14.0362i	1.25250	−	0.455874i
$949$	−1.96272			−0.0637125
$950$	9.59036	−	5.41486i	0.311152	−	0.175681i
$951$	−60.9273			−1.97570
$952$	4.90965	−	1.78697i	0.159123	−	0.0579159i
$953$	−10.3982	+	58.9714i	−0.336832	+	1.91027i	0.0715077	+	0.997440i	$0.477219\pi$
$953$	−10.3982	+	58.9714i	−0.336832	+	1.91027i	−0.408340	+	0.912830i	$0.633892\pi$
$954$	50.9477	−	42.7502i	1.64949	−	1.38409i
$955$	−38.1791	−	32.0361i	−1.23545	−	1.03666i
$956$	−0.337372	−	1.91333i	−0.0109114	−	0.0618816i
$957$	37.3316	+	64.6603i	1.20676	+	2.09017i
$958$	−7.02571	+	12.1689i	−0.226990	+	0.393159i
$959$	3.93558	+	1.43243i	0.127086	+	0.0462557i
$960$	8.27336	+	3.01125i	0.267021	+	0.0971878i
$961$	14.5409	−	25.1856i	0.469062	−	0.812439i
$962$	21.9146	+	37.9572i	0.706555	+	1.22379i
$963$	−23.2633	−	131.933i	−0.749650	−	4.25148i
$964$	17.9449	+	15.0576i	0.577968	+	0.484973i
$965$	26.3346	−	22.0973i	0.847740	−	0.711338i
$966$	0.290039	−	1.64489i	0.00933184	−	0.0529235i
$967$	−2.13591	+	0.777407i	−0.0686862	+	0.0249997i	−0.376135	−	0.926565i	$-0.622747\pi$
$967$	−2.13591	+	0.777407i	−0.0686862	+	0.0249997i	0.307449	+	0.951565i	$0.400525\pi$
$968$	−4.89131			−0.157213
$969$	−72.0946	+	11.9995i	−2.31601	+	0.385479i
$970$	−12.6694			−0.406790
$971$	−35.6872	+	12.9891i	−1.14526	+	0.416839i	−0.843809	−	0.536644i	$-0.819692\pi$
$971$	−35.6872	+	12.9891i	−1.14526	+	0.416839i	−0.301447	+	0.953483i	$0.597470\pi$
$972$	−5.28308	+	29.9618i	−0.169455	+	0.961026i
$973$	−11.4503	+	9.60792i	−0.367079	+	0.308016i
$974$	8.03723	+	6.74403i	0.257529	+	0.216093i
$975$	−6.53608	−	37.0680i	−0.209322	−	1.18713i
$976$	0.768632	+	1.33131i	0.0246033	+	0.0426142i
$977$	−3.57040	+	6.18412i	−0.114227	+	0.197847i	−0.917471	−	0.397804i	$-0.869773\pi$
$977$	−3.57040	+	6.18412i	−0.114227	+	0.197847i	0.803243	+	0.595651i	$0.203106\pi$
$978$	−26.9580	−	9.81191i	−0.862022	−	0.313750i
$979$	32.8845	+	11.9690i	1.05099	+	0.382530i
$980$	−1.37174	+	2.37592i	−0.0438185	+	0.0758960i
$981$	30.9872	+	53.6715i	0.989346	+	1.71360i
$982$	0.242185	+	1.37350i	0.00772845	+	0.0438302i
$983$	0.227819	+	0.191163i	0.00726629	+	0.00609714i	0.646414	−	0.762987i	$-0.276268\pi$
$983$	0.227819	+	0.191163i	0.00726629	+	0.00609714i	−0.639147	+	0.769084i	$0.720713\pi$
$984$	23.1157	−	19.3964i	0.736903	−	0.618335i
$985$	−5.26539	+	29.8615i	−0.167769	+	0.951467i
$986$	−28.6538	+	10.4291i	−0.912523	+	0.332131i
$987$	−15.3078			−0.487254
$988$	13.1545	−	15.3746i	0.418500	−	0.489130i
$989$	1.33050			0.0423076
$990$	−75.0106	+	27.3016i	−2.38399	+	0.867702i
$991$	4.30211	−	24.3985i	0.136661	−	0.775043i	−0.837028	−	0.547161i	$-0.815709\pi$
$991$	4.30211	−	24.3985i	0.136661	−	0.775043i	0.973689	−	0.227882i	$-0.0731802\pi$
$992$	−1.06095	+	0.890245i	−0.0336853	+	0.0282653i
$993$	21.3437	+	17.9095i	0.677322	+	0.568340i
$994$	−0.695876	−	3.94651i	−0.0220718	−	0.125176i
$995$	3.32411	+	5.75752i	0.105381	+	0.182526i
$996$	−2.40590	+	4.16714i	−0.0762337	+	0.132041i
$997$	28.0997	+	10.2275i	0.889927	+	0.323907i	0.746209	−	0.665712i	$-0.231872\pi$
$997$	28.0997	+	10.2275i	0.889927	+	0.323907i	0.143718	+	0.989619i	$0.454094\pi$
$998$	19.6984	+	7.16965i	0.623543	+	0.226951i
$999$	65.1293	−	112.807i	2.06060	−	3.56906i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	266.2.u.d.43.1	✓	24
19.2	odd	18		5054.2.a.bm.1.12		12
19.4	even	9	inner	266.2.u.d.99.1	yes	24
19.17	even	9		5054.2.a.bl.1.1		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
266.2.u.d.43.1	✓	24	1.1	even	1	trivial
266.2.u.d.99.1	yes	24	19.4	even	9	inner
5054.2.a.bl.1.1		12	19.17	even	9
5054.2.a.bm.1.12		12	19.2	odd	18

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:	\( N \)	\(=\)	\( 266 = 2 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	266.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-0.557269 + 3.16043i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.10162 + 1.76347i) q^{5} +(0.557269 + 3.16043i) q^{6} +(-0.500000 - 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.85870 - 2.49636i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-0.557269 + 3.16043i) q^{3} +(0.766044 - 0.642788i) q^{4} +(2.10162 + 1.76347i) q^{5} +(0.557269 + 3.16043i) q^{6} +(-0.500000 - 0.866025i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.85870 - 2.49636i) q^{9} +(2.57802 + 0.938324i) q^{10} +(1.99320 - 3.45232i) q^{11} +(1.60459 + 2.77924i) q^{12} +(0.806078 + 4.57149i) q^{13} +(-0.766044 - 0.642788i) q^{14} +(-6.74450 + 5.65931i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-4.90965 + 1.78697i) q^{17} -7.29887 q^{18} +(0.0418625 - 4.35870i) q^{19} +2.74348 q^{20} +(3.01565 - 1.09761i) q^{21} +(0.692229 - 3.92583i) q^{22} +(0.398698 - 0.334548i) q^{23} +(2.45838 + 2.06282i) q^{24} +(0.438749 + 2.48827i) q^{25} +(2.32101 + 4.02010i) q^{26} +(6.89794 - 11.9476i) q^{27} +(-0.939693 - 0.342020i) q^{28} +(5.48426 + 1.99611i) q^{29} +(-4.40216 + 7.62477i) q^{30} +(-0.692488 - 1.19942i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(9.80006 + 8.22323i) q^{33} +(-4.00238 + 3.35840i) q^{34} +(0.476399 - 2.70180i) q^{35} +(-6.85870 + 2.49636i) q^{36} +9.44185 q^{37} +(-1.45142 - 4.11015i) q^{38} -14.8971 q^{39} +(2.57802 - 0.938324i) q^{40} +(1.63279 - 9.25999i) q^{41} +(2.45838 - 2.06282i) q^{42} +(1.95830 + 1.64321i) q^{43} +(-0.692229 - 3.92583i) q^{44} +(-10.0121 - 17.3415i) q^{45} +(0.260232 - 0.450735i) q^{46} +(-4.48234 - 1.63144i) q^{47} +(3.01565 + 1.09761i) q^{48} +(-0.500000 + 0.866025i) q^{49} +(1.26333 + 2.18815i) q^{50} +(-2.91159 - 16.5124i) q^{51} +(3.55599 + 2.98383i) q^{52} +(-6.98021 + 5.85710i) q^{53} +(2.39563 - 13.5863i) q^{54} +(10.2770 - 3.74053i) q^{55} -1.00000 q^{56} +(13.7520 + 2.56127i) q^{57} +5.83623 q^{58} +(1.01168 - 0.368223i) q^{59} +(-1.52885 + 8.67056i) q^{60} +(-1.17761 + 0.988134i) q^{61} +(-1.06095 - 0.890245i) q^{62} +(1.26744 + 7.18799i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-6.36763 + 11.0291i) q^{65} +(12.0216 + 4.37549i) q^{66} +(-11.5668 - 4.20996i) q^{67} +(-2.61237 + 4.52476i) q^{68} +(0.835133 + 1.44649i) q^{69} +(-0.476399 - 2.70180i) q^{70} +(3.06984 + 2.57590i) q^{71} +(-5.59126 + 4.69162i) q^{72} +(-0.0734212 + 0.416392i) q^{73} +(8.87243 - 3.22930i) q^{74} -8.10851 q^{75} +(-2.76965 - 3.36587i) q^{76} -3.98639 q^{77} +(-13.9987 + 5.09510i) q^{78} +(2.22061 - 12.5937i) q^{79} +(2.10162 - 1.76347i) q^{80} +(17.1417 + 14.3836i) q^{81} +(-1.63279 - 9.25999i) q^{82} +(0.749691 + 1.29850i) q^{83} +(1.60459 - 2.77924i) q^{84} +(-13.4695 - 4.90250i) q^{85} +(2.40221 + 0.874334i) q^{86} +(-9.36477 + 16.2203i) q^{87} +(-1.99320 - 3.45232i) q^{88} +(1.52439 + 8.64523i) q^{89} +(-15.3395 - 12.8714i) q^{90} +(3.55599 - 2.98383i) q^{91} +(0.0903776 - 0.512557i) q^{92} +(4.17660 - 1.52016i) q^{93} -4.77001 q^{94} +(7.77442 - 9.08652i) q^{95} +3.20919 q^{96} +(-4.33951 + 1.57945i) q^{97} +(-0.173648 + 0.984808i) q^{98} +(-22.2889 + 18.7026i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9}+O(q^{10}) \) 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9	\( 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9} + 9 q^{10} - 3 q^{11} + 3 q^{12} + 6 q^{13} - 24 q^{15} - 15 q^{17} - 42 q^{18} + 30 q^{19} + 6 q^{20} - 9 q^{22} - 24 q^{23} - 6 q^{25} + 6 q^{26} + 21 q^{27} + 27 q^{29} + 6 q^{30} + 3 q^{31} + 15 q^{33} - 30 q^{34} + 9 q^{35} + 6 q^{36} - 54 q^{37} + 3 q^{38} + 54 q^{39} + 9 q^{40} - 15 q^{41} + 6 q^{43} + 9 q^{44} - 30 q^{45} + 12 q^{46} + 3 q^{47} - 12 q^{49} + 33 q^{50} - 39 q^{51} - 3 q^{52} - 33 q^{53} - 18 q^{54} - 15 q^{55} - 24 q^{56} + 87 q^{57} + 12 q^{58} + 66 q^{59} + 3 q^{60} - 72 q^{61} - 39 q^{62} - 12 q^{63} - 12 q^{64} - 9 q^{65} + 30 q^{66} - 30 q^{67} - 3 q^{68} + 18 q^{69} - 9 q^{70} + 45 q^{71} - 6 q^{72} - 27 q^{73} + 6 q^{74} - 66 q^{75} + 9 q^{76} + 6 q^{77} - 18 q^{78} + 12 q^{79} + 24 q^{81} + 15 q^{82} - 9 q^{83} + 3 q^{84} + 78 q^{85} + 30 q^{86} + 45 q^{87} + 3 q^{88} - 48 q^{89} - 3 q^{90} - 3 q^{91} - 6 q^{92} - 3 q^{93} - 42 q^{94} - 3 q^{95} + 6 q^{96} - 21 q^{97} - 150 q^{99}+O(q^{100}) \) 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9 + 9 * q^10 - 3 * q^11 + 3 * q^12 + 6 * q^13 - 24 * q^15 - 15 * q^17 - 42 * q^18 + 30 * q^19 + 6 * q^20 - 9 * q^22 - 24 * q^23 - 6 * q^25 + 6 * q^26 + 21 * q^27 + 27 * q^29 + 6 * q^30 + 3 * q^31 + 15 * q^33 - 30 * q^34 + 9 * q^35 + 6 * q^36 - 54 * q^37 + 3 * q^38 + 54 * q^39 + 9 * q^40 - 15 * q^41 + 6 * q^43 + 9 * q^44 - 30 * q^45 + 12 * q^46 + 3 * q^47 - 12 * q^49 + 33 * q^50 - 39 * q^51 - 3 * q^52 - 33 * q^53 - 18 * q^54 - 15 * q^55 - 24 * q^56 + 87 * q^57 + 12 * q^58 + 66 * q^59 + 3 * q^60 - 72 * q^61 - 39 * q^62 - 12 * q^63 - 12 * q^64 - 9 * q^65 + 30 * q^66 - 30 * q^67 - 3 * q^68 + 18 * q^69 - 9 * q^70 + 45 * q^71 - 6 * q^72 - 27 * q^73 + 6 * q^74 - 66 * q^75 + 9 * q^76 + 6 * q^77 - 18 * q^78 + 12 * q^79 + 24 * q^81 + 15 * q^82 - 9 * q^83 + 3 * q^84 + 78 * q^85 + 30 * q^86 + 45 * q^87 + 3 * q^88 - 48 * q^89 - 3 * q^90 - 3 * q^91 - 6 * q^92 - 3 * q^93 - 42 * q^94 - 3 * q^95 + 6 * q^96 - 21 * q^97 - 150 * q^99

Introduction

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