LMFDB - Embedded newform 280.2.br.a.107.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.26
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.268130 - 1.38856i) q^{2} +(-0.981180 - 0.262906i) q^{3} +(-1.85621 - 0.744631i) q^{4} +(0.780960 - 2.09526i) q^{5} +(-0.628146 + 1.29194i) q^{6} +(2.64507 + 0.0598247i) q^{7} +(-1.53167 + 2.37781i) q^{8} +(-1.70448 - 0.984083i) q^{9} +O(q^{10})$	\(q+(0.268130 - 1.38856i) q^{2} +(-0.981180 - 0.262906i) q^{3} +(-1.85621 - 0.744631i) q^{4} +(0.780960 - 2.09526i) q^{5} +(-0.628146 + 1.29194i) q^{6} +(2.64507 + 0.0598247i) q^{7} +(-1.53167 + 2.37781i) q^{8} +(-1.70448 - 0.984083i) q^{9} +(-2.70000 - 1.64621i) q^{10} +(-0.965766 - 1.67276i) q^{11} +(1.62551 + 1.21863i) q^{12} +(-3.99556 - 3.99556i) q^{13} +(0.792295 - 3.65681i) q^{14} +(-1.31712 + 1.85051i) q^{15} +(2.89105 + 2.76439i) q^{16} +(-0.955073 + 3.56438i) q^{17} +(-1.82348 + 2.10292i) q^{18} +(2.82743 + 1.63242i) q^{19} +(-3.00982 + 3.30772i) q^{20} +(-2.57957 - 0.754106i) q^{21} +(-2.58168 + 0.892510i) q^{22} +(-3.69109 + 0.989026i) q^{23} +(2.12799 - 1.93037i) q^{24} +(-3.78020 - 3.27262i) q^{25} +(-6.61942 + 4.47676i) q^{26} +(3.56850 + 3.56850i) q^{27} +(-4.86527 - 2.08065i) q^{28} +0.481491 q^{29} +(2.21638 + 2.32508i) q^{30} +(7.77640 - 4.48971i) q^{31} +(4.61370 - 3.27319i) q^{32} +(0.507812 + 1.89518i) q^{33} +(4.69328 + 2.28190i) q^{34} +(2.19104 - 5.49539i) q^{35} +(2.43110 + 3.09588i) q^{36} +(-3.10079 - 11.5723i) q^{37} +(3.02484 - 3.48837i) q^{38} +(2.86991 + 4.97082i) q^{39} +(3.78595 + 5.06622i) q^{40} +5.57295 q^{41} +(-1.73878 + 3.37969i) q^{42} +(3.60267 - 3.60267i) q^{43} +(0.547081 + 3.82413i) q^{44} +(-3.39304 + 2.80280i) q^{45} +(0.383630 + 5.39050i) q^{46} +(0.563966 + 2.10475i) q^{47} +(-2.10986 - 3.47244i) q^{48} +(6.99284 + 0.316481i) q^{49} +(-5.55783 + 4.37156i) q^{50} +(1.87420 - 3.24621i) q^{51} +(4.44139 + 10.3918i) q^{52} +(-0.0771760 + 0.288025i) q^{53} +(5.91191 - 3.99827i) q^{54} +(-4.25908 + 0.717173i) q^{55} +(-4.19364 + 6.19785i) q^{56} +(-2.34505 - 2.34505i) q^{57} +(0.129102 - 0.668580i) q^{58} +(8.85729 - 5.11376i) q^{59} +(3.82280 - 2.45416i) q^{60} +(5.53023 + 3.19288i) q^{61} +(-4.14915 - 12.0019i) q^{62} +(-4.44961 - 2.70494i) q^{63} +(-3.30795 - 7.28405i) q^{64} +(-11.4921 + 5.25136i) q^{65} +(2.76774 - 0.196974i) q^{66} +(-1.35258 + 5.04789i) q^{67} +(4.42697 - 5.90507i) q^{68} +3.88165 q^{69} +(-7.04321 - 4.51588i) q^{70} +11.5490i q^{71} +(4.95067 - 2.54564i) q^{72} +(7.72025 + 2.06863i) q^{73} +(-16.9003 + 1.20276i) q^{74} +(2.84867 + 4.20487i) q^{75} +(-4.03277 - 5.13551i) q^{76} +(-2.45445 - 4.48234i) q^{77} +(7.67181 - 2.65222i) q^{78} +(2.66970 - 4.62406i) q^{79} +(8.04989 - 3.89862i) q^{80} +(0.389087 + 0.673919i) q^{81} +(1.49428 - 7.73840i) q^{82} +(-6.00074 + 6.00074i) q^{83} +(4.22669 + 3.32061i) q^{84} +(6.72242 + 4.78476i) q^{85} +(-4.03655 - 5.96852i) q^{86} +(-0.472429 - 0.126587i) q^{87} +(5.45673 + 0.265709i) q^{88} +(-5.59712 - 3.23150i) q^{89} +(2.98208 + 5.46296i) q^{90} +(-10.3295 - 10.8076i) q^{91} +(7.58791 + 0.912662i) q^{92} +(-8.81043 + 2.36075i) q^{93} +(3.07380 - 0.218755i) q^{94} +(5.62845 - 4.64935i) q^{95} +(-5.38741 + 1.99861i) q^{96} +(-0.100413 - 0.100413i) q^{97} +(2.31445 - 9.62514i) q^{98} +3.80157i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	0.268130	−	1.38856i	0.189597	−	0.981862i
$2$	0.268130	−	1.38856i	0.189597	−	0.981862i
$3$	−0.981180	−	0.262906i	−0.566485	−	0.151789i	−0.0358008	−	0.999359i	$-0.511398\pi$
$3$	−0.981180	−	0.262906i	−0.566485	−	0.151789i	−0.530684	+	0.847570i	$0.678065\pi$
$4$	−1.85621	−	0.744631i	−0.928106	−	0.372316i
$5$	0.780960	−	2.09526i	0.349256	−	0.937027i
$5$	0.780960	−	2.09526i	0.349256	−	0.937027i
$6$	−0.628146	+	1.29194i	−0.256440	+	0.527431i
$7$	2.64507	+	0.0598247i	0.999744	+	0.0226116i
$7$	2.64507	+	0.0598247i	0.999744	+	0.0226116i
$8$	−1.53167	+	2.37781i	−0.541528	+	0.840682i
$9$	−1.70448	−	0.984083i	−0.568161	−	0.328028i
$10$	−2.70000	−	1.64621i	−0.853814	−	0.520578i
$11$	−0.965766	−	1.67276i	−0.291189	−	0.504355i	0.682902	−	0.730510i	$-0.260718\pi$
$11$	−0.965766	−	1.67276i	−0.291189	−	0.504355i	−0.974091	+	0.226155i	$0.927384\pi$
$12$	1.62551	+	1.21863i	0.469244	+	0.351787i
$13$	−3.99556	−	3.99556i	−1.10817	−	1.10817i	−0.993391	−	0.114778i	$-0.963384\pi$
$13$	−3.99556	−	3.99556i	−1.10817	−	1.10817i	−0.114778	−	0.993391i	$-0.536616\pi$
$14$	0.792295	−	3.65681i	0.211750	−	0.977324i
$15$	−1.31712	+	1.85051i	−0.340079	+	0.477798i
$16$	2.89105	+	2.76439i	0.722762	+	0.691097i
$17$	−0.955073	+	3.56438i	−0.231639	+	0.864490i	0.747996	+	0.663704i	$0.231016\pi$
$17$	−0.955073	+	3.56438i	−0.231639	+	0.864490i	−0.979635	+	0.200786i	$0.935650\pi$
$18$	−1.82348	+	2.10292i	−0.429799	+	0.495662i
$19$	2.82743	+	1.63242i	0.648658	+	0.374503i	0.787942	−	0.615750i	$-0.211147\pi$
$19$	2.82743	+	1.63242i	0.648658	+	0.374503i	−0.139284	+	0.990252i	$0.544480\pi$
$20$	−3.00982	+	3.30772i	−0.673016	+	0.739628i
$21$	−2.57957	−	0.754106i	−0.562908	−	0.164559i
$22$	−2.58168	+	0.892510i	−0.550415	+	0.190284i
$23$	−3.69109	+	0.989026i	−0.769646	+	0.206226i	−0.622215	−	0.782846i	$-0.713767\pi$
$23$	−3.69109	+	0.989026i	−0.769646	+	0.206226i	−0.147431	+	0.989072i	$0.547100\pi$
$24$	2.12799	−	1.93037i	0.434374	−	0.394036i
$25$	−3.78020	−	3.27262i	−0.756041	−	0.654524i
$26$	−6.61942	+	4.47676i	−1.29817	+	0.877964i
$27$	3.56850	+	3.56850i	0.686759	+	0.686759i
$28$	−4.86527	−	2.08065i	−0.919450	−	0.393206i
$29$	0.481491			0.0894106			0.0447053	−	0.999000i	$-0.485765\pi$
$29$	0.481491			0.0894106			0.0447053	+	0.999000i	$0.485765\pi$
$30$	2.21638	+	2.32508i	0.404654	+	0.424499i
$31$	7.77640	−	4.48971i	1.39668	−	0.806376i	0.402640	−	0.915358i	$-0.368093\pi$
$31$	7.77640	−	4.48971i	1.39668	−	0.806376i	0.994044	+	0.108983i	$0.0347594\pi$
$32$	4.61370	−	3.27319i	0.815595	−	0.578623i
$33$	0.507812	+	1.89518i	0.0883987	+	0.329909i
$34$	4.69328	+	2.28190i	0.804892	+	0.391342i
$35$	2.19104	−	5.49539i	0.370354	−	0.928891i
$36$	2.43110	+	3.09588i	0.405183	+	0.515980i
$37$	−3.10079	−	11.5723i	−0.509766	−	1.90247i	−0.422696	−	0.906272i	$-0.638916\pi$
$37$	−3.10079	−	11.5723i	−0.509766	−	1.90247i	−0.0870708	−	0.996202i	$-0.527751\pi$
$38$	3.02484	−	3.48837i	0.490694	−	0.565888i
$39$	2.86991	+	4.97082i	0.459553	+	0.795969i
$40$	3.78595	+	5.06622i	0.598611	+	0.801040i
$41$	5.57295			0.870349			0.435175	−	0.900346i	$-0.356687\pi$
$41$	5.57295			0.870349			0.435175	+	0.900346i	$0.356687\pi$
$42$	−1.73878	+	3.37969i	−0.268300	+	0.521498i
$43$	3.60267	−	3.60267i	0.549402	−	0.549402i	−0.376866	−	0.926268i	$-0.622998\pi$
$43$	3.60267	−	3.60267i	0.549402	−	0.549402i	0.926268	+	0.376866i	$0.122998\pi$
$44$	0.547081	+	3.82413i	0.0824755	+	0.576509i
$45$	−3.39304	+	2.80280i	−0.505804	+	0.417816i
$46$	0.383630	+	5.39050i	0.0565632	+	0.794786i
$47$	0.563966	+	2.10475i	0.0822630	+	0.307010i	0.994782	−	0.102025i	$-0.0325322\pi$
$47$	0.563966	+	2.10475i	0.0822630	+	0.307010i	−0.912519	+	0.409035i	$0.865866\pi$
$48$	−2.10986	−	3.47244i	−0.304533	−	0.501203i
$49$	6.99284	+	0.316481i	0.998977	+	0.0452116i
$50$	−5.55783	+	4.37156i	−0.785996	+	0.618232i
$51$	1.87420	−	3.24621i	0.262440	−	0.454560i
$52$	4.44139	+	10.3918i	0.615910	+	1.44109i
$53$	−0.0771760	+	0.288025i	−0.0106009	+	0.0395633i	−0.971024	−	0.238983i	$-0.923186\pi$
$53$	−0.0771760	+	0.288025i	−0.0106009	+	0.0395633i	0.960423	+	0.278546i	$0.0898526\pi$
$54$	5.91191	−	3.99827i	0.804509	−	0.544095i
$55$	−4.25908	+	0.717173i	−0.574294	+	0.0967036i
$56$	−4.19364	+	6.19785i	−0.560399	+	0.828223i
$57$	−2.34505	−	2.34505i	−0.310609	−	0.310609i
$58$	0.129102	−	0.668580i	0.0169519	−	0.0877888i
$59$	8.85729	−	5.11376i	1.15312	−	0.665754i	0.203475	−	0.979080i	$-0.434776\pi$
$59$	8.85729	−	5.11376i	1.15312	−	0.665754i	0.949646	+	0.313326i	$0.101443\pi$
$60$	3.82280	−	2.45416i	0.493521	−	0.316831i
$61$	5.53023	+	3.19288i	0.708073	+	0.408806i	0.810347	−	0.585950i	$-0.199279\pi$
$61$	5.53023	+	3.19288i	0.708073	+	0.408806i	−0.102274	+	0.994756i	$0.532612\pi$
$62$	−4.14915	−	12.0019i	−0.526943	−	1.52424i
$63$	−4.44961	−	2.70494i	−0.560598	−	0.340791i
$64$	−3.30795	−	7.28405i	−0.413494	−	0.910507i
$65$	−11.4921	+	5.25136i	−1.42542	+	0.651351i
$66$	2.76774	−	0.196974i	0.340685	−	0.0242458i
$67$	−1.35258	+	5.04789i	−0.165244	+	0.616698i	0.832765	+	0.553626i	$0.186756\pi$
$67$	−1.35258	+	5.04789i	−0.165244	+	0.616698i	−0.998009	+	0.0630715i	$0.979910\pi$
$68$	4.42697	−	5.90507i	0.536849	−	0.716095i
$69$	3.88165			0.467296
$70$	−7.04321	−	4.51588i	−0.841825	−	0.539751i
$71$			11.5490i			1.37061i	0.728254	+	0.685307i	$0.240332\pi$
$71$			11.5490i			1.37061i	−0.728254	+	0.685307i	$0.759668\pi$
$72$	4.95067	−	2.54564i	0.583442	−	0.300006i
$73$	7.72025	+	2.06863i	0.903587	+	0.242115i	0.680556	−	0.732696i	$-0.261738\pi$
$73$	7.72025	+	2.06863i	0.903587	+	0.242115i	0.223031	+	0.974811i	$0.428405\pi$
$74$	−16.9003	+	1.20276i	−1.96462	+	0.139817i
$75$	2.84867	+	4.20487i	0.328936	+	0.485537i
$76$	−4.03277	−	5.13551i	−0.462590	−	0.589084i
$77$	−2.45445	−	4.48234i	−0.279711	−	0.510810i
$78$	7.67181	−	2.65222i	0.868661	−	0.300304i
$79$	2.66970	−	4.62406i	0.300365	−	0.520247i	−0.675854	−	0.737036i	$-0.736225\pi$
$79$	2.66970	−	4.62406i	0.300365	−	0.520247i	0.976219	+	0.216789i	$0.0695582\pi$
$80$	8.04989	−	3.89862i	0.900006	−	0.435878i
$81$	0.389087	+	0.673919i	0.0432319	+	0.0748798i
$82$	1.49428	−	7.73840i	0.165015	−	0.854563i
$83$	−6.00074	+	6.00074i	−0.658667	+	0.658667i	−0.955065	−	0.296398i	$-0.904215\pi$
$83$	−6.00074	+	6.00074i	−0.658667	+	0.658667i	0.296398	+	0.955065i	$0.404215\pi$
$84$	4.22669	+	3.32061i	0.461170	+	0.362308i
$85$	6.72242	+	4.78476i	0.729149	+	0.518980i
$86$	−4.03655	−	5.96852i	−0.435272	−	0.643602i
$87$	−0.472429	−	0.126587i	−0.0506497	−	0.0135715i
$88$	5.45673	+	0.265709i	0.581690	+	0.0283247i
$89$	−5.59712	−	3.23150i	−0.593293	−	0.342538i	0.173105	−	0.984903i	$-0.444620\pi$
$89$	−5.59712	−	3.23150i	−0.593293	−	0.342538i	−0.766399	+	0.642365i	$0.777953\pi$
$90$	2.98208	+	5.46296i	0.314339	+	0.575847i
$91$	−10.3295	−	10.8076i	−1.08283	−	1.13294i
$92$	7.58791	+	0.912662i	0.791095	+	0.0951516i
$93$	−8.81043	+	2.36075i	−0.913599	+	0.244798i
$94$	3.07380	−	0.218755i	0.317038	−	0.0225629i
$95$	5.62845	−	4.64935i	0.577467	−	0.477013i
$96$	−5.38741	+	1.99861i	−0.549851	+	0.203983i
$97$	−0.100413	−	0.100413i	−0.0101954	−	0.0101954i	0.701991	−	0.712186i	$-0.252295\pi$
$97$	−0.100413	−	0.100413i	−0.0101954	−	0.0101954i	−0.712186	+	0.701991i	$0.752295\pi$
$98$	2.31445	−	9.62514i	0.233794	−	0.972286i
$99$			3.80157i			0.382073i
$100$	4.57997	+	8.88954i	0.457997	+	0.888954i
$101$	5.86150	−	3.38414i	0.583241	−	0.336735i	−0.179179	−	0.983816i	$-0.557344\pi$
$101$	5.86150	−	3.38414i	0.583241	−	0.336735i	0.762421	+	0.647082i	$0.224011\pi$
$102$	−4.00503	−	3.47285i	−0.396557	−	0.343863i
$103$	3.21596	−	0.861715i	0.316878	−	0.0849073i	−0.0968744	−	0.995297i	$-0.530885\pi$
$103$	3.21596	−	0.861715i	0.316878	−	0.0849073i	0.413753	+	0.910389i	$0.364218\pi$
$104$	15.6206	−	3.38079i	1.53172	−	0.331513i
$105$	−3.59458	+	4.81593i	−0.350795	+	0.469987i
$106$	0.379247	+	0.184392i	0.0368358	+	0.0179097i
$107$	−12.0689	+	3.23386i	−1.16675	+	0.312629i	−0.789658	−	0.613547i	$-0.789742\pi$
$107$	−12.0689	+	3.23386i	−1.16675	+	0.312629i	−0.377091	+	0.926176i	$0.623076\pi$
$108$	−3.96668	−	9.28112i	−0.381694	−	0.893076i
$109$	−2.62989	−	4.55510i	−0.251897	−	0.436299i	0.712151	−	0.702027i	$-0.247721\pi$
$109$	−2.62989	−	4.55510i	−0.251897	−	0.436299i	−0.964048	+	0.265727i	$0.914388\pi$
$110$	−0.146147	+	6.10629i	−0.0139346	+	0.582212i
$111$			12.1697i			1.15510i
$112$	7.48166	+	7.48497i	0.706951	+	0.707263i
$113$	−7.11155	+	7.11155i	−0.668998	+	0.668998i	−0.957484	−	0.288486i	$-0.906848\pi$
$113$	−7.11155	+	7.11155i	−0.668998	+	0.668998i	0.288486	+	0.957484i	$0.406848\pi$
$114$	−3.88503	+	2.62747i	−0.363866	+	0.246085i
$115$	−0.810332	+	8.50618i	−0.0755639	+	0.793205i
$116$	−0.893749	−	0.358533i	−0.0829825	−	0.0332889i
$117$	2.87840	+	10.7423i	0.266108	+	0.993128i
$118$	−4.72587	−	13.6701i	−0.435051	−	1.25843i
$119$	−2.73948	+	9.37092i	−0.251128	+	0.859031i
$120$	−2.38275	−	5.96623i	−0.217515	−	0.544639i
$121$	3.63459	−	6.29530i	0.330418	−	0.572300i
$122$	5.91633	−	6.82296i	0.535639	−	0.617722i
$123$	−5.46807	−	1.46517i	−0.493039	−	0.132110i
$124$	−17.7778	+	2.54330i	−1.59650	+	0.228395i
$125$	−9.80917	+	5.36471i	−0.877359	+	0.479835i
$126$	−4.94906	+	5.45328i	−0.440897	+	0.485817i
$127$	−4.45753	+	4.45753i	−0.395542	+	0.395542i	−0.876657	−	0.481116i	$-0.840232\pi$
$127$	−4.45753	+	4.45753i	−0.395542	+	0.395542i	0.481116	+	0.876657i	$0.340232\pi$
$128$	−11.0013	+	2.64022i	−0.972389	+	0.233365i
$129$	−4.48203	+	2.58770i	−0.394621	+	0.227835i
$130$	4.21046	+	17.3655i	0.369282	+	1.52306i
$131$	2.02710	−	3.51104i	0.177108	−	0.306761i	−0.763780	−	0.645476i	$-0.776659\pi$
$131$	2.02710	−	3.51104i	0.177108	−	0.306761i	0.940889	+	0.338715i	$0.109992\pi$
$132$	0.468603	−	3.89599i	0.0407867	−	0.339102i
$133$	7.38112	+	4.48702i	0.640024	+	0.389074i
$134$	6.64664	+	3.23163i	0.574182	+	0.279170i
$135$	10.2638	−	4.69007i	0.883366	−	0.403657i
$136$	−7.01256	−	7.73045i	−0.601322	−	0.662881i
$137$	5.98706	−	22.3440i	0.511509	−	1.90898i	0.107557	−	0.994199i	$-0.465697\pi$
$137$	5.98706	−	22.3440i	0.511509	−	1.90898i	0.403952	−	0.914780i	$-0.367636\pi$
$138$	1.04079	−	5.38991i	0.0885977	−	0.458820i
$139$			14.7467i			1.25079i	0.780306	+	0.625397i	$0.215063\pi$
$139$			14.7467i			1.25079i	−0.780306	+	0.625397i	$0.784937\pi$
$140$	−8.15908	+	8.56909i	−0.689568	+	0.724221i
$141$		−	2.21341i		−	0.186403i
$142$	16.0365	+	3.09664i	1.34575	+	0.259864i
$143$	−2.82482	+	10.5424i	−0.236223	+	0.881598i
$144$	−2.20735	−	7.55688i	−0.183946	−	0.629740i
$145$	0.376025	−	1.00885i	0.0312271	−	0.0837801i
$146$	4.94246	−	10.1654i	0.409041	−	0.841293i
$147$	−6.77803	−	2.14899i	−0.559043	−	0.177246i
$148$	−2.86137	+	23.7896i	−0.235203	+	1.95549i
$149$	−2.74995	+	4.76305i	−0.225285	+	0.390205i	−0.956405	−	0.292044i	$-0.905665\pi$
$149$	−2.74995	+	4.76305i	−0.225285	+	0.390205i	0.731120	+	0.682249i	$0.238998\pi$
$150$	6.60254	−	2.82810i	0.539095	−	0.230913i
$151$	2.03352	−	1.17405i	0.165485	−	0.0955431i	−0.414970	−	0.909835i	$-0.636208\pi$
$151$	2.03352	−	1.17405i	0.165485	−	0.0955431i	0.580455	+	0.814292i	$0.302875\pi$
$152$	−8.21229	+	4.22276i	−0.666105	+	0.342511i
$153$	5.13555	−	5.13555i	0.415185	−	0.415185i
$154$	−6.88212	+	2.20631i	−0.554577	+	0.177789i
$155$	−3.33404	−	19.7998i	−0.267796	−	1.59036i
$156$	−1.62573	−	11.3639i	−0.130162	−	0.909842i
$157$	−6.10540	−	1.63594i	−0.487264	−	0.130562i	0.00681883	−	0.999977i	$-0.497829\pi$
$157$	−6.10540	−	1.63594i	−0.487264	−	0.130562i	−0.494083	+	0.869415i	$0.664496\pi$
$158$	−5.70497	−	4.94690i	−0.453863	−	0.393554i
$159$	0.151447	−	0.262314i	0.0120105	−	0.0208029i
$160$	−3.25505	−	12.2231i	−0.257334	−	0.966322i
$161$	−9.82239	+	2.39523i	−0.774113	+	0.188770i
$162$	1.04010	−	0.359574i	0.0817183	−	0.0282508i
$163$	4.43405	+	16.5481i	0.347302	+	1.29615i	0.889900	+	0.456155i	$0.150774\pi$
$163$	4.43405	+	16.5481i	0.347302	+	1.29615i	−0.542599	+	0.839992i	$0.682560\pi$
$164$	−10.3446	−	4.14980i	−0.807777	−	0.324045i
$165$	4.36747	+	0.416063i	0.340007	+	0.0323904i
$166$	6.72343	+	9.94139i	0.521839	+	0.771601i
$167$	11.0731	−	11.0731i	0.856861	−	0.856861i	−0.134106	−	0.990967i	$-0.542816\pi$
$167$	11.0731	−	11.0731i	0.856861	−	0.856861i	0.990967	+	0.134106i	$0.0428162\pi$
$168$	5.74417	−	4.97867i	0.443173	−	0.384113i
$169$			18.9290i			1.45608i
$170$	8.44643	−	8.05157i	0.647811	−	0.617527i
$171$	−3.21287	−	5.56486i	−0.245695	−	0.425556i
$172$	−9.36998	+	4.00466i	−0.714454	+	0.305352i
$173$	2.09618	−	0.561669i	0.159369	−	0.0427029i	−0.178252	−	0.983985i	$-0.557044\pi$
$173$	2.09618	−	0.561669i	0.159369	−	0.0427029i	0.337622	+	0.941282i	$0.390378\pi$
$174$	−0.302446	+	0.622055i	−0.0229284	+	0.0471579i
$175$	−9.80314	−	8.88248i	−0.741048	−	0.671452i
$176$	1.83207	−	7.50577i	0.138097	−	0.565769i
$177$	−10.0350	+	2.68888i	−0.754279	+	0.202109i
$178$	−5.98789	+	6.90549i	−0.448812	+	0.517588i
$179$	0.701673	−	0.405111i	0.0524455	−	0.0302794i	−0.473548	−	0.880768i	$-0.657027\pi$
$179$	0.701673	−	0.405111i	0.0524455	−	0.0302794i	0.525993	+	0.850489i	$0.323694\pi$
$180$	8.38525	−	2.67603i	0.625000	−	0.199459i
$181$			10.1575i			0.755002i	0.926009	+	0.377501i	$0.123217\pi$
$181$			10.1575i			0.755002i	−0.926009	+	0.377501i	$0.876783\pi$
$182$	−17.7767	+	11.4454i	−1.31769	+	0.848386i
$183$	−4.58672	−	4.58672i	−0.339060	−	0.339060i
$184$	3.30184	−	10.2916i	0.243415	−	0.758705i
$185$	−26.6685	−	2.54055i	−1.96071	−	0.186785i
$186$	0.915703	+	12.8668i	0.0671426	+	0.943441i
$187$	6.88472	−	1.84475i	0.503460	−	0.134902i
$188$	0.520422	−	4.32681i	0.0379557	−	0.315565i
$189$	9.22547	+	9.65244i	0.671054	+	0.702112i
$190$	−4.94675	−	9.06209i	−0.358875	−	0.657433i
$191$	−14.0147	−	8.09139i	−1.01407	−	0.585472i	−0.101688	−	0.994816i	$-0.532424\pi$
$191$	−14.0147	−	8.09139i	−1.01407	−	0.585472i	−0.912380	+	0.409344i	$0.865758\pi$
$192$	1.33067	+	8.01665i	0.0960329	+	0.578552i
$193$	24.6739	+	6.61134i	1.77606	+	0.475895i	0.989857	−	0.142070i	$-0.0453757\pi$
$193$	24.6739	+	6.61134i	1.77606	+	0.475895i	0.786206	+	0.617964i	$0.212042\pi$
$194$	−0.166353	+	0.112506i	−0.0119434	+	0.00807743i
$195$	12.6564	−	2.13118i	0.906346	−	0.152617i
$196$	−12.7445	−	5.79454i	−0.910324	−	0.413896i
$197$	−5.70268	+	5.70268i	−0.406299	+	0.406299i	−0.880446	−	0.474147i	$-0.842757\pi$
$197$	−5.70268	+	5.70268i	−0.406299	+	0.406299i	0.474147	+	0.880446i	$0.342757\pi$
$198$	5.27872	+	1.01932i	0.375143	+	0.0724397i
$199$	−9.49604	−	16.4476i	−0.673157	−	1.16594i	−0.977004	−	0.213221i	$-0.931605\pi$
$199$	−9.49604	−	16.4476i	−0.673157	−	1.16594i	0.303847	−	0.952721i	$-0.401729\pi$
$200$	13.5717	−	3.97601i	0.959665	−	0.281147i
$201$	2.65424	−	4.59728i	0.187216	−	0.324267i
$202$	−3.12745	−	9.04646i	−0.220046	−	0.636506i
$203$	1.27358	+	0.0288050i	0.0893877	+	0.00202171i
$204$	−5.89614	+	4.63006i	−0.412812	+	0.324169i
$205$	4.35225	−	11.6768i	0.303974	−	0.815541i
$206$	−0.334248	−	4.69662i	−0.0232882	−	0.327229i
$207$	7.26468	+	1.94657i	0.504930	+	0.135296i
$208$	−0.506084	−	22.5966i	−0.0350906	−	1.56680i
$209$		−	6.30614i		−	0.436205i
$210$	5.72340	+	6.28260i	0.394952	+	0.433541i
$211$	−0.587454			−0.0404420			−0.0202210	−	0.999796i	$-0.506437\pi$
$211$	−0.587454			−0.0404420			−0.0202210	+	0.999796i	$0.506437\pi$
$212$	0.357727	−	0.477168i	0.0245688	−	0.0327720i
$213$	3.03631	−	11.3316i	0.208044	−	0.776432i
$214$	1.25437	+	17.6256i	0.0857473	+	1.20486i
$215$	−4.73498	−	10.3621i	−0.322923	−	0.706686i
$216$	−13.9510	+	3.01944i	−0.949245	+	0.205447i
$217$	20.8378	−	11.4104i	1.41456	−	0.774588i
$218$	−7.03019	+	2.43040i	−0.476145	+	0.164608i
$219$	−7.03110	−	4.05941i	−0.475117	−	0.274309i
$220$	8.43978	+	1.84022i	0.569010	+	0.124067i
$221$	18.0578	−	10.4257i	1.21470	−	0.701305i
$222$	16.8984	+	3.26307i	1.13415	+	0.219003i
$223$	4.86327	+	4.86327i	0.325669	+	0.325669i	0.850937	−	0.525268i	$-0.176035\pi$
$223$	4.86327	+	4.86327i	0.325669	+	0.325669i	−0.525268	+	0.850937i	$0.676035\pi$
$224$	12.3994	−	8.38181i	0.828470	−	0.560033i
$225$	3.22276	+	9.29816i	0.214850	+	0.619877i
$226$	7.96801	+	11.7816i	0.530024	+	0.783704i
$227$	−4.80167	+	17.9201i	−0.318698	+	1.18940i	0.601799	+	0.798647i	$0.294451\pi$
$227$	−4.80167	+	17.9201i	−0.318698	+	1.18940i	−0.920497	+	0.390749i	$0.872216\pi$
$228$	2.60671	+	6.09911i	0.172634	+	0.403923i
$229$	−9.71686	+	16.8301i	−0.642108	+	1.11216i	0.342854	+	0.939389i	$0.388607\pi$
$229$	−9.71686	+	16.8301i	−0.642108	+	1.11216i	−0.984961	+	0.172775i	$0.944727\pi$
$230$	11.5941	+	3.40596i	0.764492	+	0.224582i
$231$	1.22982	+	5.04327i	0.0809164	+	0.331823i
$232$	−0.737486	+	1.14489i	−0.0484184	+	0.0751659i
$233$	−1.41394	−	5.27691i	−0.0926305	−	0.345702i	0.904019	−	0.427492i	$-0.140603\pi$
$233$	−1.41394	−	5.27691i	−0.0926305	−	0.345702i	−0.996650	+	0.0817905i	$0.973936\pi$
$234$	15.6882	−	1.11649i	1.02557	−	0.0729874i
$235$	4.85043	+	0.462071i	0.316407	+	0.0301422i
$236$	−20.2489	+	2.89681i	−1.31809	+	0.188566i
$237$	−3.83515	+	3.83515i	−0.249120	+	0.249120i
$238$	12.2776	+	6.31656i	0.795837	+	0.409442i
$239$	3.64917			0.236045			0.118022	−	0.993011i	$-0.462345\pi$
$239$	3.64917			0.236045			0.118022	+	0.993011i	$0.462345\pi$
$240$	−8.92337	+	1.70888i	−0.576001	+	0.110307i
$241$	7.44323	+	12.8921i	0.479461	+	0.830450i	0.999723	−	0.0235566i	$-0.00749900\pi$
$241$	7.44323	+	12.8921i	0.479461	+	0.830450i	−0.520262	+	0.854007i	$0.674166\pi$
$242$	−7.76687	−	6.73482i	−0.499273	−	0.432931i
$243$	−4.12307	−	15.3875i	−0.264495	−	0.987110i
$244$	−7.88776	−	10.0446i	−0.504962	−	0.643042i
$245$	6.12424	−	14.4046i	0.391263	−	0.920279i
$246$	−3.50063	+	7.19991i	−0.223192	+	0.459049i
$247$	−4.77475	−	17.8196i	−0.303810	−	1.13384i
$248$	−1.23524	+	25.3676i	−0.0784380	+	1.61084i
$249$	7.46544	−	4.31017i	0.473103	−	0.273146i
$250$	4.81911	+	15.0591i	0.304787	+	0.952421i
$251$	1.97410			0.124604			0.0623020	−	0.998057i	$-0.480156\pi$
$251$	1.97410			0.124604			0.0623020	+	0.998057i	$0.480156\pi$
$252$	6.24523	+	8.33427i	0.393413	+	0.525009i
$253$	5.21913	+	5.21913i	0.328124	+	0.328124i
$254$	4.99436	+	7.38476i	0.313374	+	0.463361i
$255$	−5.33796	−	6.46208i	−0.334276	−	0.404671i
$256$	0.716326	+	15.9840i	0.0447704	+	0.998997i
$257$	−10.8253	+	2.90063i	−0.675264	+	0.180937i	−0.580125	−	0.814527i	$-0.696996\pi$
$257$	−10.8253	+	2.90063i	−0.675264	+	0.180937i	−0.0951393	+	0.995464i	$0.530330\pi$
$258$	2.39142	+	6.91742i	0.148883	+	0.430660i
$259$	−7.50951	−	30.7951i	−0.466618	−	1.91351i
$260$	25.2421	−	1.19026i	1.56545	−	0.0738166i
$261$	−0.820692	−	0.473827i	−0.0507995	−	0.0293291i
$262$	−4.33177	−	3.75617i	−0.267618	−	0.232057i
$263$	−3.99754	+	14.9190i	−0.246499	+	0.919947i	0.726125	+	0.687563i	$0.241319\pi$
$263$	−3.99754	+	14.9190i	−0.246499	+	0.919947i	−0.972624	+	0.232384i	$0.925347\pi$
$264$	−5.28418	−	1.69532i	−0.325219	−	0.104340i
$265$	0.543215	+	0.386639i	0.0333694	+	0.0237511i
$266$	8.20961	−	9.04604i	0.503364	−	0.554648i
$267$	4.64220	+	4.64220i	0.284098	+	0.284098i
$268$	6.26948	−	8.36278i	0.382970	−	0.510838i
$269$	4.55995	+	7.89807i	0.278025	+	0.481554i	0.970894	−	0.239510i	$-0.0769868\pi$
$269$	4.55995	+	7.89807i	0.278025	+	0.481554i	−0.692869	+	0.721064i	$0.743653\pi$
$270$	−3.76043	−	15.5095i	−0.228853	−	0.943876i
$271$	−3.25422	−	1.87883i	−0.197680	−	0.114131i	0.397893	−	0.917432i	$-0.369742\pi$
$271$	−3.25422	−	1.87883i	−0.197680	−	0.114131i	−0.595573	+	0.803301i	$0.703075\pi$
$272$	−12.6145	+	7.66461i	−0.764866	+	0.464735i
$273$	7.29374	+	13.3199i	0.441437	+	0.806157i
$274$	−29.4208	−	14.3045i	−1.77737	−	0.864168i
$275$	−1.82350	+	9.48394i	−0.109961	+	0.571903i
$276$	−7.20517	−	2.89040i	−0.433700	−	0.173981i
$277$	−2.66523	−	0.714147i	−0.160138	−	0.0429089i	0.177859	−	0.984056i	$-0.443083\pi$
$277$	−2.66523	−	0.714147i	−0.160138	−	0.0429089i	−0.337997	+	0.941147i	$0.609750\pi$
$278$	20.4767	+	3.95402i	1.22811	+	0.237147i
$279$	−17.6730			−1.05805
$280$	9.71103	+	13.6270i	0.580345	+	0.814371i
$281$	28.8314			1.71993			0.859967	−	0.510349i	$-0.170484\pi$
$281$	28.8314			1.71993			0.859967	+	0.510349i	$0.170484\pi$
$282$	−3.07346	−	0.593482i	−0.183022	−	0.0353414i
$283$	5.63129	+	1.50890i	0.334745	+	0.0896948i	0.422277	−	0.906467i	$-0.361231\pi$
$283$	5.63129	+	1.50890i	0.334745	+	0.0896948i	−0.0875312	+	0.996162i	$0.527898\pi$
$284$	8.59975	−	21.4374i	0.510301	−	1.27208i
$285$	−6.74487	+	3.08209i	−0.399532	+	0.182567i
$286$	13.8813	+	6.74917i	0.820820	+	0.399087i
$287$	14.7409	+	0.333400i	0.870127	+	0.0196800i
$288$	−11.0851	+	1.03882i	−0.653193	+	0.0612131i
$289$	2.92978	+	1.69151i	0.172340	+	0.0995004i
$290$	−1.30002	−	0.792636i	−0.0763400	−	0.0465452i
$291$	0.0721238	+	0.124922i	0.00422797	+	0.00732306i
$292$	−12.7901	−	9.58856i	−0.748481	−	0.561128i
$293$	−11.8205	−	11.8205i	−0.690561	−	0.690561i	0.271794	−	0.962355i	$-0.412383\pi$
$293$	−11.8205	−	11.8205i	−0.690561	−	0.690561i	−0.962355	+	0.271794i	$0.912383\pi$
$294$	−4.80140	+	8.83551i	−0.280023	+	0.515298i
$295$	−3.79745	−	22.5519i	−0.221096	−	1.31302i
$296$	32.2661	+	10.3519i	1.87543	+	0.601692i
$297$	2.52289	−	9.41557i	0.146393	−	0.546347i
$298$	5.87645	+	5.09560i	0.340414	+	0.295180i
$299$	18.6997	+	10.7963i	1.08143	+	0.624365i
$300$	−2.15665	−	9.92634i	−0.124514	−	0.573098i
$301$	9.74486	−	9.31380i	0.561684	−	0.536839i
$302$	−1.08500	−	3.13847i	−0.0624346	−	0.180599i
$303$	−6.64090	+	1.77942i	−0.381510	+	0.102225i
$304$	3.66161	+	12.5355i	0.210008	+	0.718962i
$305$	11.0088	−	9.09374i	0.630361	−	0.520706i
$306$	−5.75404	−	8.50803i	−0.328937	−	0.486372i
$307$	8.23648	+	8.23648i	0.470081	+	0.470081i	0.901941	−	0.431860i	$-0.142143\pi$
$307$	8.23648	+	8.23648i	0.470081	+	0.470081i	−0.431860	+	0.901941i	$0.642143\pi$
$308$	1.21829	+	10.1478i	0.0694186	+	0.578227i
$309$	−3.38199			−0.192395
$310$	−28.3873	−	0.679418i	−1.61229	−	0.0385883i
$311$	−5.24979	+	3.03097i	−0.297688	+	0.171870i	−0.641404	−	0.767203i	$-0.721648\pi$
$311$	−5.24979	+	3.03097i	−0.297688	+	0.171870i	0.343716	+	0.939074i	$0.388314\pi$
$312$	−16.2154	−	0.789590i	−0.918018	−	0.0447018i
$313$	−6.30271	−	23.5220i	−0.356250	−	1.32954i	−0.878904	−	0.476998i	$-0.841725\pi$
$313$	−6.30271	−	23.5220i	−0.356250	−	1.32954i	0.522654	−	0.852545i	$-0.324942\pi$
$314$	−3.90865	+	8.03909i	−0.220578	+	0.453672i
$315$	−9.14252	+	7.21062i	−0.515122	+	0.406273i
$316$	−8.39875	+	6.59529i	−0.472467	+	0.371014i
$317$	8.33425	+	31.1038i	0.468098	+	1.74697i	0.646409	+	0.762991i	$0.276270\pi$
$317$	8.33425	+	31.1038i	0.468098	+	1.74697i	−0.178311	+	0.983974i	$0.557063\pi$
$318$	−0.323632	−	0.280628i	−0.0181484	−	0.0157369i
$319$	−0.465007	−	0.805416i	−0.0260354	−	0.0450946i
$320$	−17.8453	+	1.24246i	−0.997585	+	0.0694554i
$321$	12.6920			0.708399
$322$	0.692246	+	14.2812i	0.0385773	+	0.795862i
$323$	−8.51898	+	8.51898i	−0.474009	+	0.474009i
$324$	−0.220407	−	1.54066i	−0.0122449	−	0.0855923i
$325$	2.02808	+	28.1800i	0.112497	+	1.56315i
$326$	24.1670	−	1.71991i	1.33848	−	0.0952570i
$327$	1.38283	+	5.16079i	0.0764706	+	0.285392i
$328$	−8.53595	+	13.2514i	−0.471319	+	0.731687i
$329$	1.36582	+	5.60096i	0.0753000	+	0.308791i
$330$	1.74878	−	5.95295i	0.0962672	−	0.327699i
$331$	3.22316	−	5.58267i	0.177161	−	0.306851i	−0.763746	−	0.645517i	$-0.776642\pi$
$331$	3.22316	−	5.58267i	0.177161	−	0.306851i	0.940907	+	0.338665i	$0.109975\pi$
$332$	15.6070	−	6.67031i	0.856545	−	0.366081i
$333$	−6.10286	+	22.7762i	−0.334435	+	1.24813i
$334$	−12.4066	−	18.3447i	−0.678862	−	1.00378i
$335$	9.52031	+	6.77619i	0.520150	+	0.370223i
$336$	−5.37301	−	9.31108i	−0.293122	−	0.507961i
$337$	−10.0837	−	10.0837i	−0.549296	−	0.549296i	0.376941	−	0.926237i	$-0.376976\pi$
$337$	−10.0837	−	10.0837i	−0.549296	−	0.549296i	−0.926237	+	0.376941i	$0.876976\pi$
$338$	26.2841	+	5.07544i	1.42967	+	0.276068i
$339$	8.84738	−	5.10804i	0.480524	−	0.277430i
$340$	−8.91536	−	13.8873i	−0.483503	−	0.753143i
$341$	−15.0204	−	8.67202i	−0.813399	−	0.469616i
$342$	−8.58863	+	2.96917i	−0.464420	+	0.160554i
$343$	18.4777	+	1.25546i	0.997700	+	0.0677885i
$344$	3.04835	+	14.0846i	0.164356	+	0.759389i
$345$	3.03141	−	8.13305i	0.163206	−	0.437869i
$346$	−0.217864	−	3.06128i	−0.0117125	−	0.164575i
$347$	−6.88448	+	25.6932i	−0.369578	+	1.37928i	0.491529	+	0.870861i	$0.336438\pi$
$347$	−6.88448	+	25.6932i	−0.369578	+	1.37928i	−0.861107	+	0.508423i	$0.830229\pi$
$348$	0.782668	+	0.586758i	0.0419554	+	0.0314535i
$349$	0.517693			0.0277115			0.0138557	−	0.999904i	$-0.495589\pi$
$349$	0.517693			0.0277115			0.0138557	+	0.999904i	$0.495589\pi$
$350$	−14.9624	+	11.2306i	−0.799774	+	0.600301i
$351$		−	28.5163i		−	1.52209i
$352$	−9.93100	−	4.55646i	−0.529324	−	0.242860i
$353$	1.94282	+	0.520578i	0.103406	+	0.0277076i	0.310151	−	0.950687i	$-0.399620\pi$
$353$	1.94282	+	0.520578i	0.103406	+	0.0277076i	−0.206745	+	0.978395i	$0.566287\pi$
$354$	1.04298	+	14.6552i	0.0554338	+	0.778917i
$355$	24.1981	+	9.01930i	1.28430	+	0.478695i
$356$	7.98317	+	10.1661i	0.423107	+	0.538804i
$357$	5.15160	−	8.47434i	0.272651	−	0.448509i
$358$	−0.374383	−	1.08294i	−0.0197867	−	0.0572351i
$359$	0.193329	−	0.334855i	0.0102035	−	0.0176730i	−0.860879	−	0.508810i	$-0.830085\pi$
$359$	0.193329	−	0.334855i	0.0102035	−	0.0176730i	0.871082	+	0.491137i	$0.163419\pi$
$360$	−1.46749	−	12.3610i	−0.0773436	−	0.651480i
$361$	−4.17041	−	7.22336i	−0.219495	−	0.380177i
$362$	14.1043	+	2.72354i	0.741308	+	0.143146i
$363$	−5.22126	+	5.22126i	−0.274045	+	0.274045i
$364$	11.1261	+	27.7529i	0.583167	+	1.45465i
$365$	10.3635	−	14.5604i	0.542452	−	0.762125i
$366$	−7.59879	+	5.13911i	−0.397195	+	0.268626i
$367$	−30.1393	−	8.07581i	−1.57326	−	0.421554i	−0.636429	−	0.771336i	$-0.719589\pi$
$367$	−30.1393	−	8.07581i	−1.57326	−	0.421554i	−0.936831	+	0.349782i	$0.886256\pi$
$368$	−13.4052	−	7.34429i	−0.698793	−	0.382848i
$369$	−9.49900	−	5.48425i	−0.494498	−	0.285499i
$370$	−10.6783	+	36.3497i	−0.555141	+	1.88973i
$371$	−0.221367	+	0.757230i	−0.0114928	+	0.0393134i
$372$	18.1119	+	2.17847i	0.939059	+	0.112948i
$373$	12.1844	−	3.26480i	0.630884	−	0.169045i	0.0708132	−	0.997490i	$-0.477441\pi$
$373$	12.1844	−	3.26480i	0.630884	−	0.169045i	0.560071	+	0.828445i	$0.310774\pi$
$374$	−0.715556	−	10.0545i	−0.0370005	−	0.519906i
$375$	11.0350	−	2.68486i	0.569844	−	0.138645i
$376$	−5.86851	−	1.88279i	−0.302645	−	0.0970974i
$377$	−1.92382	−	1.92382i	−0.0990820	−	0.0990820i
$378$	15.8766	−	10.2220i	0.816607	−	0.525765i
$379$		−	20.5847i		−	1.05736i	−0.848820	−	0.528682i	$-0.822686\pi$
$379$		−	20.5847i		−	1.05736i	0.848820	−	0.528682i	$-0.177314\pi$
$380$	−13.9097	+	4.43906i	−0.713550	+	0.227719i
$381$	5.54555	−	3.20173i	0.284107	−	0.164029i
$382$	−14.9932	+	17.2907i	−0.767117	+	0.884671i
$383$	14.0984	−	3.77766i	0.720396	−	0.193029i	0.120048	−	0.992768i	$-0.461695\pi$
$383$	14.0984	−	3.77766i	0.720396	−	0.193029i	0.600348	+	0.799739i	$0.295029\pi$
$384$	11.4884	+	0.301786i	0.586266	+	0.0154004i
$385$	−11.3085	+	1.64218i	−0.576334	+	0.0836932i
$386$	15.7961	−	32.4885i	0.803999	−	1.65362i
$387$	−9.68601	+	2.59536i	−0.492367	+	0.131929i
$388$	0.111617	+	0.261158i	0.00566649	+	0.0132583i
$389$	−18.0960	−	31.3432i	−0.917504	−	1.58916i	−0.803193	−	0.595719i	$-0.796867\pi$
$389$	−18.0960	−	31.3432i	−0.917504	−	1.58916i	−0.114312	−	0.993445i	$-0.536466\pi$
$390$	0.434296	−	18.1457i	0.0219915	−	0.918842i
$391$		−	14.1011i		−	0.713121i
$392$	−11.4633	+	16.1429i	−0.578983	+	0.815339i
$393$	−2.91202	+	2.91202i	−0.146892	+	0.146892i
$394$	6.38946	+	9.44758i	0.321896	+	0.475962i
$395$	−7.60366	−	9.20491i	−0.382582	−	0.463149i
$396$	2.83077	−	7.05653i	0.142252	−	0.354604i
$397$	−3.99693	−	14.9168i	−0.200600	−	0.748651i	−0.990746	−	0.135731i	$-0.956662\pi$
$397$	−3.99693	−	14.9168i	−0.200600	−	0.748651i	0.790145	−	0.612919i	$-0.210005\pi$
$398$	−25.3847	+	8.77574i	−1.27242	+	0.439888i
$399$	−6.06254	−	6.34312i	−0.303507	−	0.317553i
$400$	−1.88196	−	19.9113i	−0.0940980	−	0.995563i
$401$	−5.44372	+	9.42880i	−0.271846	+	0.470852i	−0.969335	−	0.245744i	$-0.920968\pi$
$401$	−5.44372	+	9.42880i	−0.271846	+	0.470852i	0.697488	+	0.716596i	$0.254301\pi$
$402$	−5.67194	−	4.91825i	−0.282890	−	0.245300i
$403$	−49.0100	−	13.1322i	−2.44136	−	0.654161i
$404$	−13.4001	+	1.91703i	−0.666682	+	0.0953756i
$405$	1.71589	−	0.288934i	0.0852634	−	0.0143573i
$406$	0.381482	−	1.76072i	0.0189327	−	0.0873831i
$407$	−16.3630	+	16.3630i	−0.811083	+	0.811083i
$408$	4.84820	+	9.42861i	0.240022	+	0.466786i
$409$	−8.23763	+	4.75600i	−0.407325	+	0.235169i	−0.689640	−	0.724153i	$-0.742231\pi$
$409$	−8.23763	+	4.75600i	−0.407325	+	0.235169i	0.282315	+	0.959322i	$0.408898\pi$
$410$	−15.0470	−	9.17427i	−0.743116	−	0.453085i
$411$	−11.7488	+	20.3495i	−0.579524	+	1.00377i
$412$	−6.61117	−	0.795181i	−0.325709	−	0.0391758i
$413$	23.7341	−	12.9964i	1.16788	−	0.639510i
$414$	4.65081	−	9.56554i	0.228575	−	0.470120i
$415$	7.88676	+	17.2594i	0.387146	+	0.847232i
$416$	−31.5125	−	5.35611i	−1.54503	−	0.262605i
$417$	3.87699	−	14.4691i	0.189857	−	0.708556i
$418$	−8.75647	−	1.69087i	−0.428293	−	0.0827030i
$419$		−	9.13664i		−	0.446354i	−0.974778	−	0.223177i	$-0.928357\pi$
$419$		−	9.13664i		−	0.446354i	0.974778	−	0.223177i	$-0.0716428\pi$
$420$	10.2584	−	6.26275i	0.500559	−	0.305591i
$421$			4.78559i			0.233236i	0.993177	+	0.116618i	$0.0372052\pi$
$421$			4.78559i			0.233236i	−0.993177	+	0.116618i	$0.962795\pi$
$422$	−0.157514	+	0.815717i	−0.00766767	+	0.0397085i
$423$	1.10998	−	4.14250i	0.0539690	−	0.201415i
$424$	−0.566660	−	0.624670i	−0.0275194	−	0.0303367i
$425$	15.2752	−	10.3485i	0.740958	−	0.501976i
$426$	−14.9206	−	7.25446i	−0.722904	−	0.351480i
$427$	14.4368	+	8.77624i	0.698648	+	0.424712i
$428$	24.8106	+	2.98417i	1.19926	+	0.144246i
$429$	5.54332	−	9.60130i	0.267634	−	0.463555i
$430$	−15.6580	+	3.79643i	−0.755094	+	0.183080i
$431$	−26.5210	+	15.3119i	−1.27747	+	0.737547i	−0.976382	−	0.216049i	$-0.930683\pi$
$431$	−26.5210	+	15.3119i	−1.27747	+	0.737547i	−0.301087	+	0.953597i	$0.597349\pi$
$432$	0.451992	+	20.1814i	0.0217465	+	0.970980i
$433$	−8.22529	+	8.22529i	−0.395282	+	0.395282i	−0.876565	−	0.481283i	$-0.840171\pi$
$433$	−8.22529	+	8.22529i	−0.395282	+	0.395282i	0.481283	+	0.876565i	$0.340171\pi$
$434$	−10.2568	−	31.9940i	−0.492343	−	1.53576i
$435$	−0.634180	+	0.891001i	−0.0304066	+	0.0427202i
$436$	1.48976	+	10.4135i	0.0713466	+	0.498717i
$437$	−12.0508	−	3.22901i	−0.576470	−	0.154465i
$438$	−7.52199	+	8.67467i	−0.359415	+	0.414492i
$439$	11.5579	−	20.0189i	0.551629	−	0.955450i	−0.446528	−	0.894770i	$-0.647340\pi$
$439$	11.5579	−	20.0189i	0.551629	−	0.955450i	0.998157	−	0.0606803i	$-0.0193270\pi$
$440$	4.81822	−	11.2257i	0.229699	−	0.535167i
$441$	−11.6077	−	7.42097i	−0.552749	−	0.353380i
$442$	−9.63484	−	27.8698i	−0.458283	−	1.32563i
$443$	−7.48172	−	27.9222i	−0.355467	−	1.32662i	−0.879895	−	0.475167i	$-0.842387\pi$
$443$	−7.48172	−	27.9222i	−0.355467	−	1.32662i	0.524428	−	0.851455i	$-0.324279\pi$
$444$	9.06196	−	22.5896i	0.430061	−	1.07205i
$445$	−11.1419	+	9.20373i	−0.528179	+	0.436299i
$446$	8.05694	−	5.44896i	0.381507	−	0.258016i
$447$	3.95043	−	3.95043i	0.186849	−	0.186849i
$448$	−8.31401	−	19.4648i	−0.392800	−	0.919624i
$449$			25.3558i			1.19661i	0.801267	+	0.598307i	$0.204160\pi$
$449$			25.3558i			1.19661i	−0.801267	+	0.598307i	$0.795840\pi$
$450$	13.7752	−	1.98188i	0.649369	−	0.0934269i
$451$	−5.38217	−	9.32219i	−0.253436	−	0.438965i
$452$	18.4960	−	7.90506i	0.869980	−	0.371823i
$453$	−2.30391	+	0.617332i	−0.108247	+	0.0290048i
$454$	23.5957	+	11.4723i	1.10740	+	0.538423i
$455$	−30.7116	+	13.2027i	−1.43978	+	0.618953i
$456$	9.16793	−	1.98423i	0.429328	−	0.0929200i
$457$	−3.78855	+	1.01514i	−0.177221	+	0.0474862i	−0.346338	−	0.938110i	$-0.612575\pi$
$457$	−3.78855	+	1.01514i	−0.177221	+	0.0474862i	0.169117	+	0.985596i	$0.445908\pi$
$458$	20.7642	+	18.0051i	0.970250	+	0.841324i
$459$	−16.1277	+	9.31133i	−0.752776	+	0.434616i
$460$	7.83812	−	15.1859i	0.365454	−	0.708045i
$461$			15.6723i			0.729931i	0.931021	+	0.364965i	$0.118919\pi$
$461$			15.6723i			0.729931i	−0.931021	+	0.364965i	$0.881081\pi$
$462$	7.33265	−	0.355431i	0.341146	−	0.0165362i
$463$	−2.78984	−	2.78984i	−0.129655	−	0.129655i	0.639302	−	0.768956i	$-0.279224\pi$
$463$	−2.78984	−	2.78984i	−0.129655	−	0.129655i	−0.768956	+	0.639302i	$0.779224\pi$
$464$	1.39201	+	1.33103i	0.0646226	+	0.0617913i
$465$	−1.93422	+	20.3038i	−0.0896971	+	0.941564i
$466$	−7.70644	+	0.548450i	−0.356994	+	0.0254065i
$467$	22.2200	−	5.95383i	1.02822	−	0.275510i	0.294996	−	0.955499i	$-0.404682\pi$
$467$	22.2200	−	5.95383i	1.02822	−	0.275510i	0.733223	+	0.679988i	$0.238015\pi$
$468$	2.65615	−	22.0834i	0.122781	−	1.02080i
$469$	−3.87966	+	13.2711i	−0.179146	+	0.612803i
$470$	1.94216	−	6.61123i	0.0895852	−	0.304953i
$471$	5.56040	+	3.21030i	0.256210	+	0.147923i
$472$	−1.40694	+	28.8935i	−0.0647595	+	1.32993i
$473$	−9.50572	−	2.54705i	−0.437073	−	0.117113i
$474$	4.29703	+	6.35367i	0.197369	+	0.291834i
$475$	−5.34599	−	15.4240i	−0.245291	−	0.707702i
$476$	12.0629	−	15.3545i	0.552904	−	0.703773i
$477$	0.414986	−	0.414986i	0.0190009	−	0.0190009i
$478$	0.978452	−	5.06710i	0.0447533	−	0.231764i
$479$	20.0633	+	34.7507i	0.916716	+	1.58780i	0.804369	+	0.594130i	$0.202504\pi$
$479$	20.0633	+	34.7507i	0.916716	+	1.58780i	0.112348	+	0.993669i	$0.464163\pi$
$480$	−0.0197439	+	12.8489i	−0.000901183	+	0.586467i
$481$	−33.8484	+	58.6272i	−1.54336	+	2.67317i
$482$	19.8972	−	6.87864i	0.906292	−	0.313314i
$483$	10.2673	+	0.232218i	0.467176	+	0.0105663i
$484$	−11.4343	+	8.97898i	−0.519739	+	0.408135i
$485$	−0.288809	+	0.131972i	−0.0131141	+	0.00599254i
$486$	−22.4721	+	1.59929i	−1.01935	+	0.0725452i
$487$	34.9695	+	9.37004i	1.58462	+	0.424597i	0.940351	−	0.340205i	$-0.110496\pi$
$487$	34.9695	+	9.37004i	1.58462	+	0.424597i	0.644266	+	0.764802i	$0.277163\pi$
$488$	−16.0626	+	8.25938i	−0.727118	+	0.373884i
$489$		−	17.4024i		−	0.786964i
$490$	−18.3597	−	12.3662i	−0.829405	−	0.558648i
$491$	16.0902			0.726141			0.363071	−	0.931762i	$-0.381728\pi$
$491$	16.0902			0.726141			0.363071	+	0.931762i	$0.381728\pi$
$492$	9.05889	+	6.79136i	0.408407	+	0.306178i
$493$	−0.459859	+	1.71622i	−0.0207110	+	0.0772945i
$494$	−26.0239	+	1.85207i	−1.17087	+	0.0833283i
$495$	7.96528	+	2.96888i	0.358013	+	0.133441i
$496$	34.8933	+	8.51703i	1.56675	+	0.382426i
$497$	−0.690915	+	30.5480i	−0.0309918	+	1.37026i
$498$	−3.98324	−	11.5219i	−0.178493	−	0.516310i
$499$	25.4948	+	14.7194i	1.14130	+	0.658931i	0.946753	−	0.321961i	$-0.104342\pi$
$499$	25.4948	+	14.7194i	1.14130	+	0.658931i	0.194550	+	0.980893i	$0.437675\pi$
$500$	22.2026	−	2.65383i	0.992932	−	0.118683i
$501$	−13.7759	+	7.95351i	−0.615461	+	0.355337i
$502$	0.529316	−	2.74116i	0.0236245	−	0.122344i
$503$	19.1483	+	19.1483i	0.853780	+	0.853780i	0.990596	−	0.136817i	$-0.0436872\pi$
$503$	19.1483	+	19.1483i	0.853780	+	0.853780i	−0.136817	+	0.990596i	$0.543687\pi$
$504$	13.2472	−	6.43723i	0.590077	−	0.286737i
$505$	−2.51305	−	14.9242i	−0.111829	−	0.664120i
$506$	8.64650	−	5.84768i	0.384384	−	0.259961i
$507$	4.97656	−	18.5728i	0.221017	−	0.824846i
$508$	11.5933	−	4.95490i	0.514371	−	0.219838i
$509$	4.55691	−	7.89281i	0.201982	−	0.349843i	−0.747185	−	0.664616i	$-0.768595\pi$
$509$	4.55691	−	7.89281i	0.201982	−	0.349843i	0.949167	+	0.314773i	$0.101929\pi$
$510$	−10.4043	+	5.67942i	−0.460709	+	0.251489i
$511$	20.2969	+	5.93355i	0.897881	+	0.262485i
$512$	22.3868	+	3.29112i	0.989366	+	0.145448i
$513$	4.26441	+	15.9150i	0.188278	+	0.702665i
$514$	1.12512	+	15.8094i	0.0496268	+	0.697321i
$515$	0.706023	−	7.41123i	0.0311111	−	0.326578i
$516$	10.2465	−	1.46586i	0.451076	−	0.0645311i
$517$	2.97608	−	2.97608i	0.130888	−	0.130888i
$518$	−44.7744	+	2.17033i	−1.96728	+	0.0953586i
$519$	−2.20439			−0.0967622
$520$	5.11542	−	35.3694i	0.224326	−	1.55105i
$521$	−5.65601	−	9.79650i	−0.247794	−	0.429192i	0.715119	−	0.699003i	$-0.246372\pi$
$521$	−5.65601	−	9.79650i	−0.247794	−	0.429192i	−0.962914	+	0.269810i	$0.913039\pi$
$522$	−0.877990	+	1.01253i	−0.0384286	+	0.0443174i
$523$	6.49890	+	24.2542i	0.284177	+	1.06056i	0.949439	+	0.313953i	$0.101653\pi$
$523$	6.49890	+	24.2542i	0.284177	+	1.06056i	−0.665261	+	0.746611i	$0.731680\pi$
$524$	−6.37715	+	5.00779i	−0.278587	+	0.218766i
$525$	7.28338	+	11.2926i	0.317873	+	0.492850i
$526$	19.6441	+	9.55108i	0.856526	+	0.416447i
$527$	8.57600	+	32.0061i	0.373577	+	1.39421i
$528$	−3.77090	+	6.88285i	−0.164108	+	0.299538i
$529$	−7.27258	+	4.19883i	−0.316199	+	0.182558i
$530$	0.682525	−	0.650618i	0.0296470	−	0.0282610i
$531$	−20.1294			−0.873543
$532$	−10.3597	−	13.8251i	−0.449152	−	0.599393i
$533$	−22.2671	−	22.2671i	−0.964494	−	0.964494i
$534$	7.69070	−	5.20127i	0.332809	−	0.225081i
$535$	−2.64958	+	27.8131i	−0.114551	+	1.20246i
$536$	−9.93120	−	10.9479i	−0.428963	−	0.472877i
$537$	−0.794974	+	0.213013i	−0.0343057	+	0.00919218i
$538$	12.1896	−	4.21407i	0.525532	−	0.181681i
$539$	−6.22405	−	12.0030i	−0.268089	−	0.517004i
$540$	−22.5441	+	1.06304i	−0.970146	+	0.0457459i
$541$	−13.3004	−	7.67899i	−0.571829	−	0.330145i	0.186051	−	0.982540i	$-0.440431\pi$
$541$	−13.3004	−	7.67899i	−0.571829	−	0.330145i	−0.757879	+	0.652395i	$0.773764\pi$
$542$	−3.48143	+	4.01492i	−0.149540	+	0.172456i
$543$	2.67048	−	9.96635i	0.114601	−	0.427697i
$544$	7.26046	+	19.5711i	0.311290	+	0.839105i
$545$	−11.5979	+	1.95294i	−0.496801	+	0.0836548i
$546$	20.4512	−	6.55635i	0.875230	−	0.280586i
$547$	−26.5081	−	26.5081i	−1.13341	−	1.13341i	−0.989607	−	0.143798i	$-0.954068\pi$
$547$	−26.5081	−	26.5081i	−1.13341	−	1.13341i	−0.143798	−	0.989607i	$-0.545932\pi$
$548$	−27.7513	+	37.0171i	−1.18548	+	1.58129i
$549$	−6.28411	−	10.8844i	−0.268199	−	0.464535i
$550$	12.6801	+	5.07498i	0.540682	+	0.216398i
$551$	1.36138	+	0.785995i	0.0579969	+	0.0334845i
$552$	−5.94542	+	9.22982i	−0.253054	+	0.392847i
$553$	7.33819	−	12.0713i	0.312052	−	0.513322i
$554$	−1.70627	+	3.50936i	−0.0724923	+	0.149098i
$555$	25.4987	+	9.50406i	1.08236	+	0.403425i
$556$	10.9808	−	27.3729i	0.465690	−	1.16087i
$557$	−15.8254	−	4.24041i	−0.670545	−	0.179672i	−0.0925449	−	0.995709i	$-0.529500\pi$
$557$	−15.8254	−	4.24041i	−0.670545	−	0.179672i	−0.578000	+	0.816036i	$0.696167\pi$
$558$	−4.73866	+	24.5400i	−0.200604	+	1.03886i
$559$	−28.7894			−1.21766
$560$	21.5258	−	9.83055i	0.909631	−	0.415416i
$561$	−7.24015			−0.305679
$562$	7.73056	−	40.0342i	0.326094	−	1.68874i
$563$	39.1409	+	10.4878i	1.64959	+	0.442007i	0.959499	−	0.281712i	$-0.0909023\pi$
$563$	39.1409	+	10.4878i	1.64959	+	0.442007i	0.690095	+	0.723719i	$0.257569\pi$
$564$	−1.64817	+	4.10856i	−0.0694007	+	0.173002i
$565$	9.34669	+	20.4543i	0.393218	+	0.860521i
$566$	3.60512	−	7.41482i	0.151535	−	0.311668i
$567$	0.988847	+	1.80584i	0.0415277	+	0.0758382i
$568$	−27.4613	−	17.6893i	−1.15225	−	0.742227i
$569$	−6.57271	−	3.79475i	−0.275542	−	0.159084i	0.355861	−	0.934539i	$-0.384188\pi$
$569$	−6.57271	−	3.79475i	−0.275542	−	0.159084i	−0.631404	+	0.775454i	$0.717521\pi$
$570$	2.47117	+	10.1921i	0.103506	+	0.426899i
$571$	0.665837	+	1.15326i	0.0278644	+	0.0482626i	0.879621	−	0.475675i	$-0.157796\pi$
$571$	0.665837	+	1.15326i	0.0278644	+	0.0482626i	−0.851757	+	0.523937i	$0.824463\pi$
$572$	13.0936	−	17.4654i	0.547473	−	0.730266i
$573$	11.6237	+	11.6237i	0.485586	+	0.485586i
$574$	4.41542	−	20.3792i	0.184296	−	0.850613i
$575$	17.1898	+	8.34084i	0.716864	+	0.347837i
$576$	−1.52977	+	15.6708i	−0.0637405	+	0.652952i
$577$	6.33531	−	23.6437i	0.263743	−	0.984301i	−0.699273	−	0.714855i	$-0.746493\pi$
$577$	6.33531	−	23.6437i	0.263743	−	0.984301i	0.963016	−	0.269446i	$-0.0868405\pi$
$578$	3.13432	−	3.61463i	0.130371	−	0.150349i
$579$	−22.4713	−	12.9738i	−0.933877	−	0.539174i
$580$	−1.44920	+	1.59263i	−0.0601748	+	0.0661305i
$581$	−16.2314	+	15.5134i	−0.673392	+	0.643605i
$582$	0.192801	−	0.0666530i	0.00799184	−	0.00276286i
$583$	0.556329	−	0.149068i	0.0230408	−	0.00617377i
$584$	−16.7437	+	15.1888i	−0.692860	+	0.628517i
$585$	24.7558	+	2.35834i	1.02353	+	0.0975053i
$586$	−19.5829	+	13.2441i	−0.808964	+	0.547108i
$587$	14.9713	+	14.9713i	0.617932	+	0.617932i	0.945001	−	0.327068i	$-0.106061\pi$
$587$	14.9713	+	14.9713i	0.617932	+	0.617932i	−0.327068	+	0.945001i	$0.606061\pi$
$588$	10.9813	+	9.03611i	0.452860	+	0.372643i
$589$	29.3164			1.20796
$590$	−32.3330	−	0.773853i	−1.33113	−	0.0318590i
$591$	7.09462	−	4.09608i	0.291834	−	0.168490i
$592$	23.0258	−	42.0279i	0.946354	−	1.72733i
$593$	−8.66771	−	32.3483i	−0.355940	−	1.32839i	−0.879297	−	0.476273i	$-0.841987\pi$
$593$	−8.66771	−	32.3483i	−0.355940	−	1.32839i	0.523357	−	0.852113i	$-0.324679\pi$
$594$	−12.3976	−	6.02780i	−0.508682	−	0.247323i
$595$	17.4951	+	13.0582i	0.717228	+	0.535335i
$596$	8.65121	−	6.79354i	0.354367	−	0.278274i
$597$	4.99314	+	18.6347i	0.204356	+	0.762666i
$598$	20.0053	−	23.0709i	0.818076	−	0.943439i
$599$	14.2926	+	24.7555i	0.583981	+	1.01148i	0.995002	+	0.0998582i	$0.0318389\pi$
$599$	14.2926	+	24.7555i	0.583981	+	1.01148i	−0.411021	+	0.911626i	$0.634828\pi$
$600$	−14.3616	+	0.333097i	−0.586310	+	0.0135986i
$601$	−11.9416			−0.487110			−0.243555	−	0.969887i	$-0.578314\pi$
$601$	−11.9416			−0.487110			−0.243555	+	0.969887i	$0.578314\pi$
$602$	−10.3199	−	16.0287i	−0.420608	−	0.653279i
$603$	7.27298	−	7.27298i	0.296179	−	0.296179i
$604$	−4.64888	+	0.665070i	−0.189160	+	0.0270613i
$605$	−10.3518	−	12.5318i	−0.420861	−	0.509489i
$606$	0.690216	+	9.69843i	0.0280381	+	0.393972i
$607$	8.27261	+	30.8738i	0.335775	+	1.25313i	0.903026	+	0.429585i	$0.141340\pi$
$607$	8.27261	+	30.8738i	0.335775	+	1.25313i	−0.567251	+	0.823545i	$0.691993\pi$
$608$	18.3882	−	1.72322i	0.745738	−	0.0698858i
$609$	−1.24204	−	0.363095i	−0.0503299	−	0.0147133i
$610$	−9.67544	−	17.7247i	−0.391747	−	0.717652i
$611$	6.15630	−	10.6630i	0.249057	−	0.431380i
$612$	−13.3568	+	5.70858i	−0.539915	+	0.230756i
$613$	5.66021	−	21.1242i	0.228614	−	0.853198i	−0.752311	−	0.658808i	$-0.771061\pi$
$613$	5.66021	−	21.1242i	0.228614	−	0.853198i	0.980924	−	0.194389i	$-0.0622726\pi$
$614$	13.6453	−	9.22842i	0.550680	−	0.372429i
$615$	−7.34024	+	10.3128i	−0.295987	+	0.415851i
$616$	14.4176	+	1.02927i	0.580900	+	0.0414703i
$617$	5.47079	+	5.47079i	0.220246	+	0.220246i	0.808602	−	0.588356i	$-0.200225\pi$
$617$	5.47079	+	5.47079i	0.220246	+	0.220246i	−0.588356	+	0.808602i	$0.700225\pi$
$618$	−0.906814	+	4.69610i	−0.0364774	+	0.188905i
$619$	−19.8367	+	11.4527i	−0.797303	+	0.460323i	−0.842527	−	0.538654i	$-0.818933\pi$
$619$	−19.8367	+	11.4527i	−0.797303	+	0.460323i	0.0452244	+	0.998977i	$0.485600\pi$
$620$	−8.55490	+	39.2354i	−0.343573	+	1.57573i
$621$	−16.7010	−	9.64234i	−0.670189	−	0.386934i
$622$	2.80106	+	8.10235i	0.112312	+	0.324875i
$623$	−14.6115	−	8.88240i	−0.585396	−	0.355866i
$624$	−5.44424	+	22.3044i	−0.217944	+	0.892892i
$625$	3.57989	+	24.7424i	0.143196	+	0.989694i
$626$	−34.3517	+	2.44474i	−1.37297	+	0.0977114i
$627$	−1.65793	+	6.18746i	−0.0662112	+	0.247103i
$628$	10.1148	+	7.58292i	0.403623	+	0.302592i
$629$	44.2096			1.76275
$630$	7.56102	+	14.6283i	0.301238	+	0.582807i
$631$			28.5739i			1.13751i	0.822507	+	0.568755i	$0.192575\pi$
$631$			28.5739i			1.13751i	−0.822507	+	0.568755i	$0.807425\pi$
$632$	6.90601	+	13.4306i	0.274707	+	0.534240i
$633$	0.576398	+	0.154445i	0.0229098	+	0.00613866i
$634$	45.4243	−	3.23275i	1.80403	−	0.128389i
$635$	5.85852	+	12.8208i	0.232488	+	0.508779i
$636$	−0.476446	+	0.374139i	−0.0188923	+	0.0148356i
$637$	−26.6758	−	29.2048i	−1.05693	−	1.15714i
$638$	−1.24305	+	0.429735i	−0.0492129	+	0.0170134i
$639$	11.3652	−	19.6851i	0.449599	−	0.778729i
$640$	−3.05965	+	25.1125i	−0.120943	+	0.992659i
$641$	16.3798	+	28.3706i	0.646963	+	1.12057i	0.983844	+	0.179025i	$0.0572944\pi$
$641$	16.3798	+	28.3706i	0.646963	+	1.12057i	−0.336882	+	0.941547i	$0.609372\pi$
$642$	3.40311	−	17.6237i	0.134310	−	0.695550i
$643$	−6.79725	+	6.79725i	−0.268058	+	0.268058i	−0.828317	−	0.560260i	$-0.810701\pi$
$643$	−6.79725	+	6.79725i	−0.268058	+	0.268058i	0.560260	+	0.828317i	$0.310701\pi$
$644$	20.0160	+	2.86800i	0.788741	+	0.113015i
$645$	1.92162	+	11.4119i	0.0756636	+	0.449343i
$646$	9.54494	+	14.1133i	0.375541	+	0.555282i
$647$	3.62601	+	0.971586i	0.142553	+	0.0381970i	0.329390	−	0.944194i	$-0.393157\pi$
$647$	3.62601	+	0.971586i	0.142553	+	0.0381970i	−0.186837	+	0.982391i	$0.559824\pi$
$648$	−2.19840	−	0.107049i	−0.0863615	−	0.00420527i
$649$	−17.1081	−	9.87738i	−0.671553	−	0.387721i
$650$	39.6735	+	4.73980i	1.55612	+	0.185910i
$651$	−23.4455	+	5.71727i	−0.918900	+	0.224078i
$652$	4.09169	−	34.0185i	0.160243	−	1.33227i
$653$	−4.21558	+	1.12956i	−0.164969	+	0.0442032i	−0.340358	−	0.940296i	$-0.610548\pi$
$653$	−4.21558	+	1.12956i	−0.164969	+	0.0442032i	0.175389	+	0.984499i	$0.443882\pi$
$654$	7.53685	−	0.536381i	0.294714	−	0.0209742i
$655$	−5.77345	−	6.98927i	−0.225587	−	0.273093i
$656$	16.1117	+	15.4058i	0.629056	+	0.601496i
$657$	−11.1233	−	11.1233i	−0.433962	−	0.433962i
$658$	8.14351	−	0.394735i	0.317467	−	0.0153884i
$659$			8.08264i			0.314855i	0.987531	+	0.157427i	$0.0503201\pi$
$659$			8.08264i			0.314855i	−0.987531	+	0.157427i	$0.949680\pi$
$660$	−7.79714	−	4.02446i	−0.303503	−	0.156652i
$661$	−5.00284	+	2.88839i	−0.194588	+	0.112345i	−0.594129	−	0.804370i	$-0.702503\pi$
$661$	−5.00284	+	2.88839i	−0.194588	+	0.112345i	0.399541	+	0.916715i	$0.369170\pi$
$662$	−6.88766	−	5.97244i	−0.267697	−	0.232125i
$663$	−20.4589	+	5.48194i	−0.794557	+	0.212901i
$664$	−5.07744	−	23.4598i	−0.197043	−	0.910417i
$665$	15.1658	−	11.9612i	0.588105	−	0.463834i
$666$	29.9898	+	14.5812i	1.16208	+	0.565010i
$667$	−1.77723	+	0.476206i	−0.0688145	+	0.0184388i
$668$	−28.7994	+	12.3086i	−1.11428	+	0.476235i
$669$	−3.49316	−	6.05033i	−0.135053	−	0.233919i
$670$	11.9619	−	11.4026i	0.462127	−	0.440523i
$671$		−	12.3343i		−	0.476160i
$672$	−14.3697	+	4.96418i	−0.554323	+	0.191497i
$673$	25.1913	−	25.1913i	0.971052	−	0.971052i	−0.0285405	−	0.999593i	$-0.509086\pi$
$673$	25.1913	−	25.1913i	0.971052	−	0.971052i	0.999593	+	0.0285405i	$0.00908596\pi$
$674$	−16.7057	+	11.2981i	−0.643478	+	0.435188i
$675$	−1.81131	−	25.1680i	−0.0697173	−	0.968718i
$676$	14.0951	−	35.1363i	0.542121	−	1.35140i
$677$	−0.508189	−	1.89659i	−0.0195313	−	0.0728918i	0.955472	−	0.295081i	$-0.0953465\pi$
$677$	−0.508189	−	1.89659i	−0.0195313	−	0.0728918i	−0.975004	+	0.222189i	$0.928680\pi$
$678$	−4.72058	−	13.6548i	−0.181293	−	0.524408i
$679$	−0.259592	−	0.271606i	−0.00996222	−	0.0104233i
$680$	−21.6738	+	8.65594i	−0.831153	+	0.331940i
$681$	9.42260	−	16.3204i	0.361075	−	0.625400i
$682$	−16.0691	+	18.5315i	−0.615316	+	0.709608i
$683$	0.831694	+	0.222852i	0.0318239	+	0.00852719i	0.274696	−	0.961531i	$-0.411423\pi$
$683$	0.831694	+	0.222852i	0.0318239	+	0.00852719i	−0.242872	+	0.970058i	$0.578089\pi$
$684$	1.82001	+	12.7220i	0.0695897	+	0.486437i
$685$	−42.1408	−	29.9942i	−1.61012	−	1.14602i
$686$	6.69770	−	25.3208i	0.255720	−	0.966751i
$687$	13.9587	−	13.9587i	0.532559	−	0.532559i
$688$	20.3747	−	0.456320i	0.776777	−	0.0173970i
$689$	1.45918	−	0.842460i	0.0555904	−	0.0320952i
$690$	−10.4804	−	6.39002i	−0.398984	−	0.243264i
$691$	−1.50264	+	2.60265i	−0.0571631	+	0.0990093i	−0.893191	−	0.449678i	$-0.851539\pi$
$691$	−1.50264	+	2.60265i	−0.0571631	+	0.0990093i	0.836028	+	0.548687i	$0.184872\pi$
$692$	−4.30919	−	0.518302i	−0.163811	−	0.0197029i
$693$	−0.227428	+	10.0554i	−0.00863927	+	0.381975i
$694$	33.8307	+	16.4487i	1.28420	+	0.624382i
$695$	30.8980	+	11.5165i	1.17203	+	0.436847i
$696$	1.02461	−	0.929456i	0.0388376	−	0.0352309i
$697$	−5.32258	+	19.8641i	−0.201607	+	0.752408i
$698$	0.138809	−	0.718849i	0.00525400	−	0.0272088i
$699$			5.54933i			0.209895i
$700$	11.5825	+	23.7875i	0.437779	+	0.899083i
$701$		−	27.6799i		−	1.04546i	−0.852499	−	0.522728i	$-0.824914\pi$
$701$		−	27.6799i		−	1.04546i	0.852499	−	0.522728i	$-0.175086\pi$
$702$	−39.5967	−	7.64609i	−1.49448	−	0.288583i
$703$	10.1236	−	37.7817i	0.381818	−	1.42496i
$704$	−8.98974	+	12.5681i	−0.338813	+	0.473678i
$705$	−4.63766	−	1.72858i	−0.174665	−	0.0651022i
$706$	1.24379	−	2.55815i	0.0468105	−	0.0962773i
$707$	15.7066	−	8.60064i	0.590706	−	0.323461i
$708$	20.6294	+	2.48127i	0.775299	+	0.0932518i
$709$	10.5667	−	18.3020i	0.396839	−	0.687346i	−0.596495	−	0.802617i	$-0.703440\pi$
$709$	10.5667	−	18.3020i	0.396839	−	0.687346i	0.993334	+	0.115271i	$0.0367737\pi$
$710$	19.0121	−	31.1823i	0.713512	−	1.17025i
$711$	−9.10091	+	5.25441i	−0.341311	+	0.197056i
$712$	16.2568	−	8.35928i	0.609251	−	0.313277i
$713$	−24.2630	+	24.2630i	−0.908657	+	0.908657i
$714$	−10.3858	−	9.42554i	−0.388681	−	0.352742i
$715$	19.8829	+	14.1519i	0.743579	+	0.529251i
$716$	−1.60411	+	0.229485i	−0.0599485	+	0.00857625i
$717$	−3.58049	−	0.959389i	−0.133716	−	0.0358290i
$718$	−0.413130	−	0.358233i	−0.0154179	−	0.0133692i
$719$	9.17874	−	15.8980i	0.342309	−	0.592897i	−0.642552	−	0.766242i	$-0.722124\pi$
$719$	9.17874	−	15.8980i	0.342309	−	0.592897i	0.984861	+	0.173345i	$0.0554576\pi$
$720$	−17.5575	−	1.27664i	−0.654328	−	0.0475777i
$721$	8.55801	−	2.08691i	0.318717	−	0.0777204i
$722$	−11.1483	+	3.85407i	−0.414897	+	0.143434i
$723$	−3.91375	−	14.6063i	−0.145554	−	0.543214i
$724$	7.56360	−	18.8545i	0.281099	−	0.700722i
$725$	−1.82013	−	1.57574i	−0.0675980	−	0.0585214i
$726$	5.85007	+	8.65003i	0.217117	+	0.321033i
$727$	27.5459	−	27.5459i	1.02162	−	1.02162i	0.0218602	−	0.999761i	$-0.493041\pi$
$727$	27.5459	−	27.5459i	1.02162	−	1.02162i	0.999761	−	0.0218602i	$-0.00695887\pi$
$728$	41.5198	−	8.00793i	1.53883	−	0.296794i
$729$			13.8474i			0.512866i
$730$	−17.4392	−	18.2945i	−0.645455	−	0.677109i
$731$	9.40048	+	16.2821i	0.347689	+	0.602215i
$732$	5.09851	+	11.9293i	0.188446	+	0.440921i
$733$	−17.0745	+	4.57509i	−0.630660	+	0.168985i	−0.559969	−	0.828513i	$-0.689187\pi$
$733$	−17.0745	+	4.57509i	−0.630660	+	0.168985i	−0.0706908	+	0.997498i	$0.522520\pi$
$734$	−19.2950	+	39.6850i	−0.712192	+	1.46480i
$735$	−9.79605	+	12.5234i	−0.361333	+	0.461934i
$736$	−13.7923	+	16.6447i	−0.508393	+	0.613532i
$737$	9.75015	−	2.61255i	0.359152	−	0.0962344i
$738$	−10.1622	+	11.7195i	−0.374075	+	0.431399i
$739$	−15.8433	+	9.14714i	−0.582806	+	0.336483i	−0.762248	−	0.647285i	$-0.775904\pi$
$739$	−15.8433	+	9.14714i	−0.582806	+	0.336483i	0.179442	+	0.983769i	$0.442571\pi$
$740$	47.6107	+	24.5740i	1.75020	+	0.903359i
$741$			18.7396i			0.688415i
$742$	0.992107	+	0.510419i	0.0364214	+	0.0187381i
$743$	−5.87951	−	5.87951i	−0.215698	−	0.215698i	0.590984	−	0.806683i	$-0.298739\pi$
$743$	−5.87951	−	5.87951i	−0.215698	−	0.215698i	−0.806683	+	0.590984i	$0.798739\pi$
$744$	7.88129	−	24.5654i	0.288942	−	0.900612i
$745$	7.83222	+	9.48160i	0.286950	+	0.347379i
$746$	−1.26637	−	17.7942i	−0.0463652	−	0.651491i
$747$	16.1334	−	4.32293i	0.590290	−	0.158168i
$748$	−14.1532	−	1.70232i	−0.517491	−	0.0622430i
$749$	−32.1167	+	7.83179i	−1.17352	+	0.286167i
$750$	−0.769280	−	16.0427i	−0.0280901	−	0.585795i
$751$	6.70244	+	3.86966i	0.244576	+	0.141206i	0.617278	−	0.786745i	$-0.288235\pi$
$751$	6.70244	+	3.86966i	0.244576	+	0.141206i	−0.372702	+	0.927951i	$0.621569\pi$
$752$	−4.18789	+	7.64396i	−0.152717	+	0.278747i
$753$	−1.93695	−	0.519004i	−0.0705863	−	0.0189135i
$754$	−3.18719	+	2.15552i	−0.116070	+	0.0784993i
$755$	−0.871846	−	5.17763i	−0.0317297	−	0.188433i
$756$	−9.93693	−	24.7866i	−0.361403	−	0.901478i
$757$	24.1556	−	24.1556i	0.877951	−	0.877951i	−0.115371	−	0.993322i	$-0.536806\pi$
$757$	24.1556	−	24.1556i	0.877951	−	0.877951i	0.993322	+	0.115371i	$0.0368058\pi$
$758$	−28.5831	−	5.51938i	−1.03819	−	0.200473i
$759$	−3.74876	−	6.49305i	−0.136072	−	0.235683i
$760$	2.43431	+	20.5047i	0.0883017	+	0.743783i
$761$	11.7295	−	20.3161i	0.425194	−	0.736458i	−0.571244	−	0.820780i	$-0.693539\pi$
$761$	11.7295	−	20.3161i	0.425194	−	0.736458i	0.996439	+	0.0843219i	$0.0268724\pi$
$762$	−2.95887	−	8.55882i	−0.107188	−	0.310053i
$763$	−6.68374	−	12.2059i	−0.241968	−	0.441884i
$764$	19.9892	+	25.4551i	0.723182	+	0.920934i
$765$	−6.74964	−	14.7710i	−0.244034	−	0.534045i
$766$	−1.46531	−	20.5895i	−0.0529437	−	0.743927i
$767$	−55.8222	−	14.9575i	−2.01562	−	0.540084i
$768$	3.49944	−	15.8715i	0.126275	−	0.572712i
$769$		−	15.2021i		−	0.548203i	−0.961701	−	0.274101i	$-0.911620\pi$
$769$		−	15.2021i		−	0.548203i	0.961701	−	0.274101i	$-0.0883804\pi$
$770$	−0.751877	+	16.1429i	−0.0270958	+	0.581748i
$771$	11.3842			0.409991
$772$	−40.8769	−	30.6450i	−1.47119	−	1.10294i
$773$	0.366689	−	1.36850i	0.0131889	−	0.0492216i	−0.959018	−	0.283346i	$-0.908556\pi$
$773$	0.366689	−	1.36850i	0.0131889	−	0.0492216i	0.972207	+	0.234124i	$0.0752222\pi$
$774$	1.00671	+	14.1455i	0.0361853	+	0.508450i
$775$	−44.0895	−	8.47722i	−1.58374	−	0.304511i
$776$	0.392562	−	0.0849627i	0.0140921	−	0.00304998i
$777$	−0.728050	+	32.1898i	−0.0261186	+	1.15480i
$778$	−48.3741	+	16.7234i	−1.73430	+	0.599562i
$779$	15.7572	+	9.09740i	0.564559	+	0.325948i
$780$	−25.0800	−	5.46845i	−0.898007	−	0.195802i
$781$	19.3187	−	11.1536i	0.691276	−	0.399108i
$782$	−19.5802	−	3.78092i	−0.700187	−	0.135205i
$783$	1.71820	+	1.71820i	0.0614035	+	0.0614035i
$784$	19.3418	+	20.2459i	0.690778	+	0.723067i
$785$	−8.19578	+	11.5148i	−0.292520	+	0.410980i
$786$	3.26273	+	4.82433i	0.116378	+	0.172078i
$787$	9.85143	−	36.7660i	0.351165	−	1.31057i	−0.534076	−	0.845436i	$-0.679341\pi$
$787$	9.85143	−	36.7660i	0.351165	−	1.31057i	0.885242	−	0.465131i	$-0.153993\pi$
$788$	14.8318	−	6.33899i	0.528360	−	0.225817i
$789$	7.84462	−	13.5873i	0.279276	−	0.483720i
$790$	−14.8204	+	8.09004i	−0.527285	+	0.287831i
$791$	−19.2360	+	18.3851i	−0.683954	+	0.653700i
$792$	−9.03942	−	5.82277i	−0.321202	−	0.206903i
$793$	−9.33902	−	34.8537i	−0.331638	−	1.23769i
$794$	−21.7846	+	1.55036i	−0.773105	+	0.0550202i
$795$	−0.431342	−	0.522178i	−0.0152981	−	0.0185197i
$796$	5.37925	+	37.6013i	0.190663	+	1.33274i
$797$	11.6235	−	11.6235i	0.411724	−	0.411724i	−0.470615	−	0.882339i	$-0.655968\pi$
$797$	11.6235	−	11.6235i	0.411724	−	0.411724i	0.882339	+	0.470615i	$0.155968\pi$
$798$	−10.4334	+	6.71743i	−0.369337	+	0.237795i
$799$	−8.04077			−0.284462
$800$	−28.1526	−	2.72559i	−0.995346	−	0.0963642i
$801$	6.36012	+	11.0161i	0.224724	+	0.389233i
$802$	11.6329	+	10.0871i	0.410770	+	0.356188i
$803$	−3.99563	−	14.9119i	−0.141003	−	0.526230i
$804$	−8.35012	+	6.55710i	−0.294486	+	0.231251i
$805$	−2.65227	+	22.4510i	−0.0934802	+	0.791294i
$806$	−31.3759	+	64.5323i	−1.10517	+	2.27305i
$807$	−2.39768	−	8.94827i	−0.0844024	−	0.314994i
$808$	−0.931071	+	19.1209i	−0.0327549	+	0.672672i
$809$	18.0524	−	10.4225i	0.634688	−	0.366437i	−0.147877	−	0.989006i	$-0.547244\pi$
$809$	18.0524	−	10.4225i	0.634688	−	0.366437i	0.782565	+	0.622568i	$0.213911\pi$
$810$	0.0588797	−	2.46010i	0.00206882	−	0.0864390i
$811$	−3.27108			−0.114863			−0.0574316	−	0.998349i	$-0.518291\pi$
$811$	−3.27108			−0.114863			−0.0574316	+	0.998349i	$0.518291\pi$
$812$	−2.34258	−	1.00181i	−0.0822086	−	0.0351568i
$813$	2.69902	+	2.69902i	0.0946589	+	0.0946589i
$814$	18.3336	+	27.1084i	0.642593	+	0.950151i
$815$	38.1353	+	3.63292i	1.33582	+	0.127256i
$816$	14.3922	−	4.20393i	0.503827	−	0.147167i
$817$	16.0674	−	4.30524i	0.562127	−	0.150621i
$818$	4.39524	+	12.7137i	0.153676	+	0.444524i
$819$	6.97092	+	28.5864i	0.243584	+	0.998891i
$820$	−16.7736	+	18.4337i	−0.585759	+	0.643734i
$821$	−13.6348	−	7.87204i	−0.475857	−	0.274736i	0.242831	−	0.970068i	$-0.421924\pi$
$821$	−13.6348	−	7.87204i	−0.475857	−	0.274736i	−0.718688	+	0.695332i	$0.755257\pi$
$822$	25.1063	+	21.7702i	0.875684	+	0.759324i
$823$	8.27500	−	30.8827i	0.288448	−	1.07650i	−0.657834	−	0.753163i	$-0.728527\pi$
$823$	8.27500	−	30.8827i	0.288448	−	1.07650i	0.946282	−	0.323341i	$-0.104806\pi$
$824$	−2.87681	+	8.96681i	−0.100219	+	0.312374i
$825$	4.28258	−	8.82605i	0.149100	−	0.307284i
$826$	−11.6825	−	36.4410i	−0.406485	−	1.26795i
$827$	−25.0815	−	25.0815i	−0.872169	−	0.872169i	0.120540	−	0.992709i	$-0.461538\pi$
$827$	−25.0815	−	25.0815i	−0.872169	−	0.872169i	−0.992709	+	0.120540i	$0.961538\pi$
$828$	−12.0353	−	9.02275i	−0.418256	−	0.313562i
$829$	20.9282	+	36.2488i	0.726867	+	1.25897i	0.958201	+	0.286097i	$0.0923579\pi$
$829$	20.9282	+	36.2488i	0.726867	+	1.25897i	−0.231333	+	0.972875i	$0.574309\pi$
$830$	26.0805	−	6.32348i	0.905267	−	0.219491i
$831$	2.42732	+	1.40141i	0.0842028	+	0.0486145i
$832$	−15.8868	+	42.3210i	−0.550774	+	1.46722i
$833$	−7.80674	+	24.6229i	−0.270487	+	0.853133i
$834$	−19.0517	−	9.26305i	−0.659708	−	0.320753i
$835$	−14.5533	−	31.8486i	−0.503639	−	1.10217i
$836$	−4.69575	+	11.7055i	−0.162406	+	0.404845i
$837$	43.7717	+	11.7286i	1.51297	+	0.405399i
$838$	−12.6868	−	2.44981i	−0.438258	−	0.0846272i
$839$	−3.30560			−0.114122			−0.0570609	−	0.998371i	$-0.518173\pi$
$839$	−3.30560			−0.114122			−0.0570609	+	0.998371i	$0.518173\pi$
$840$	−5.94563	−	15.9237i	−0.205144	−	0.549419i
$841$	−28.7682			−0.992006
$842$	6.64510	+	1.28316i	0.229005	+	0.0442207i
$843$	−28.2888	−	7.57995i	−0.974317	−	0.261067i
$844$	1.09044	+	0.437437i	0.0375345	+	0.0150572i
$845$	39.6612	+	14.7828i	1.36439	+	0.508544i
$846$	−5.45450	−	2.65201i	−0.187530	−	0.0911778i
$847$	9.99038	−	16.4341i	0.343274	−	0.564682i
$848$	−1.01933	+	0.619350i	−0.0350040	+	0.0212686i
$849$	−5.12861	−	2.96100i	−0.176013	−	0.101621i
$850$	−10.2738	−	23.9854i	−0.352388	−	0.822692i
$851$	22.8906	+	39.6477i	0.784680	+	1.35910i
$852$	−14.0739	+	18.7730i	−0.482165	+	0.643153i
$853$	−9.13633	−	9.13633i	−0.312822	−	0.312822i	0.533180	−	0.846002i	$-0.320997\pi$
$853$	−9.13633	−	9.13633i	−0.312822	−	0.312822i	−0.846002	+	0.533180i	$0.820997\pi$
$854$	16.0573	−	17.6933i	0.549470	−	0.605452i
$855$	−14.1689	+	2.38587i	−0.484567	+	0.0815949i
$856$	10.7962	−	33.6509i	0.369006	−	1.15016i
$857$	5.36756	−	20.0320i	0.183352	−	0.684281i	−0.811625	−	0.584179i	$-0.801417\pi$
$857$	5.36756	−	20.0320i	0.183352	−	0.684281i	0.994977	−	0.100101i	$-0.0319167\pi$
$858$	−11.8457	−	10.2716i	−0.404405	−	0.350668i
$859$	−28.7159	−	16.5791i	−0.979775	−	0.565673i	−0.0775726	−	0.996987i	$-0.524717\pi$
$859$	−28.7159	−	16.5791i	−0.979775	−	0.565673i	−0.902202	+	0.431314i	$0.858050\pi$
$860$	1.07322	+	22.7600i	0.0365964	+	0.776109i
$861$	−14.3758	−	4.20260i	−0.489926	−	0.143224i
$862$	14.1504	+	40.9316i	0.481966	+	1.39414i
$863$	−38.6344	+	10.3521i	−1.31513	+	0.352388i	−0.847152	−	0.531351i	$-0.821684\pi$
$863$	−38.6344	+	10.3521i	−1.31513	+	0.352388i	−0.467979	+	0.883739i	$0.655018\pi$
$864$	28.1444	+	4.78363i	0.957491	+	0.162743i
$865$	0.460189	−	4.83067i	0.0156469	−	0.164248i
$866$	9.21588	+	13.6268i	0.313168	+	0.463057i
$867$	−2.42993	−	2.42993i	−0.0825247	−	0.0825247i
$868$	−47.1759	+	5.66367i	−1.60125	+	0.192237i
$869$	−10.3132			−0.349852
$870$	1.06717	+	1.11950i	0.0361804	+	0.0379547i
$871$	25.5734	−	14.7648i	0.866523	−	0.500287i
$872$	14.8593	+	0.723554i	0.503199	+	0.0245026i
$873$	0.0723371	+	0.269966i	0.00244824	+	0.00913696i
$874$	−7.71488	+	15.8675i	−0.260960	+	0.536728i
$875$	−26.2669	+	13.6032i	−0.887984	+	0.459873i
$876$	10.0284	+	12.7707i	0.338830	+	0.431482i
$877$	10.5298	+	39.2977i	0.355565	+	1.32699i	0.879771	+	0.475397i	$0.157695\pi$
$877$	10.5298	+	39.2977i	0.355565	+	1.32699i	−0.524206	+	0.851591i	$0.675638\pi$
$878$	−24.6985	−	21.4166i	−0.833533	−	0.722774i
$879$	8.49036	+	14.7057i	0.286373	+	0.496012i
$880$	−14.2957	−	9.70036i	−0.481909	−	0.326999i
$881$	−26.9235			−0.907075			−0.453538	−	0.891237i	$-0.649838\pi$
$881$	−26.9235			−0.907075			−0.453538	+	0.891237i	$0.649838\pi$
$882$	−13.4169	+	14.1283i	−0.451769	+	0.475724i
$883$	1.49558	−	1.49558i	0.0503303	−	0.0503303i	−0.681494	−	0.731824i	$-0.738669\pi$
$883$	1.49558	−	1.49558i	0.0503303	−	0.0503303i	0.731824	+	0.681494i	$0.238669\pi$
$884$	−41.2823	+	5.90585i	−1.38847	+	0.198635i
$885$	−2.20306	+	23.1259i	−0.0740551	+	0.777368i
$886$	−40.7778	+	2.90206i	−1.36996	+	0.0974967i
$887$	−7.55455	−	28.1940i	−0.253657	−	0.946661i	−0.968833	−	0.247716i	$-0.920320\pi$
$887$	−7.55455	−	28.1940i	−0.253657	−	0.946661i	0.715175	−	0.698945i	$-0.246347\pi$
$888$	−28.9373	−	18.6400i	−0.971072	−	0.625519i
$889$	−12.0572	+	11.5238i	−0.404384	+	0.386497i
$890$	9.79247	+	17.9391i	0.328244	+	0.601319i
$891$	0.751534	−	1.30170i	0.0251773	−	0.0436084i
$892$	−5.40592	−	12.6486i	−0.181004	−	0.423506i
$893$	−1.84126	+	6.87168i	−0.0616154	+	0.229952i
$894$	−4.42619	−	6.54466i	−0.148034	−	0.218886i
$895$	−0.300834	−	1.78656i	−0.0100558	−	0.0597182i
$896$	−29.2573	+	6.32544i	−0.977417	+	0.211318i
$897$	−15.5094	−	15.5094i	−0.517843	−	0.517843i
$898$	35.2081	+	6.79865i	1.17491	+	0.226874i
$899$	3.74427	−	2.16175i	0.124878	−	0.0720985i
$900$	0.941577	−	19.6591i	0.0313859	−	0.655304i
$901$	−0.952922	−	0.550170i	−0.0317464	−	0.0183288i
$902$	−14.3876	+	4.97392i	−0.479054	+	0.165613i
$903$	−12.0101	+	6.57653i	−0.399672	+	0.218853i
$904$	−6.01733	−	27.8025i	−0.200133	−	0.924696i
$905$	21.2826	+	7.93261i	0.707458	+	0.263689i
$906$	0.239455	+	3.36466i	0.00795536	+	0.111783i
$907$	−3.61141	+	13.4780i	−0.119915	+	0.447529i	−0.999608	−	0.0280140i	$-0.991082\pi$
$907$	−3.61141	+	13.4780i	−0.119915	+	0.447529i	0.879692	+	0.475543i	$0.157748\pi$
$908$	22.2568	−	29.6880i	0.738616	−	0.985230i
$909$	−13.3211			−0.441833
$910$	10.0981	+	46.1851i	0.334748	+	1.53102i
$911$		−	4.02039i		−	0.133202i	−0.997780	−	0.0666008i	$-0.978785\pi$
$911$		−	4.02039i		−	0.133202i	0.997780	−	0.0666008i	$-0.0212154\pi$
$912$	−0.297027	−	13.2623i	−0.00983556	−	0.439158i
$913$	15.8331	+	4.24246i	0.523999	+	0.140405i
$914$	0.393760	+	5.53283i	0.0130244	+	0.183010i
$915$	−13.1924	+	6.02831i	−0.436127	+	0.199290i
$916$	30.5688	−	24.0047i	1.01002	−	0.793139i
$917$	5.57187	−	9.16569i	0.184000	−	0.302678i
$918$	8.60504	+	24.8910i	0.284009	+	0.821524i
$919$	−23.7150	+	41.0757i	−0.782287	+	1.35496i	0.148319	+	0.988940i	$0.452614\pi$
$919$	−23.7150	+	41.0757i	−0.782287	+	1.35496i	−0.930606	+	0.366021i	$0.880720\pi$
$920$	−18.9849	−	14.9555i	−0.625914	−	0.493068i
$921$	−5.91605	−	10.2469i	−0.194940	−	0.337647i
$922$	21.7619	+	4.20221i	0.716691	+	0.138392i
$923$	46.1447	−	46.1447i	1.51887	−	1.51887i
$924$	1.47257	−	10.2772i	0.0484439	−	0.338093i
$925$	−26.1501	+	53.8934i	−0.859811	+	1.77200i
$926$	−4.62190	+	3.12582i	−0.151885	+	0.102721i
$927$	−6.32955	−	1.69600i	−0.207890	−	0.0557039i
$928$	2.22145	−	1.57601i	0.0729228	−	0.0517350i
$929$	2.43765	+	1.40738i	0.0799767	+	0.0461745i	0.539455	−	0.842014i	$-0.318630\pi$
$929$	2.43765	+	1.40738i	0.0799767	+	0.0461745i	−0.459478	+	0.888189i	$0.651964\pi$
$930$	27.6744	+	8.12983i	0.907480	+	0.266588i
$931$	19.2552	+	12.3101i	0.631063	+	0.403447i
$932$	−1.30477	+	10.8479i	−0.0427392	+	0.355336i
$933$	5.94785	−	1.59372i	0.194724	−	0.0521761i
$934$	−2.30941	−	32.4503i	−0.0755663	−	1.06180i
$935$	1.51145	−	15.8659i	0.0494297	−	0.518871i
$936$	−29.9520	−	9.60946i	−0.979010	−	0.314095i
$937$	41.0565	+	41.0565i	1.34126	+	1.34126i	0.894811	+	0.446445i	$0.147310\pi$
$937$	41.0565	+	41.0565i	1.34126	+	1.34126i	0.446445	+	0.894811i	$0.352690\pi$
$938$	17.3875	+	8.94553i	0.567723	+	0.292082i
$939$			24.7364i			0.807241i
$940$	−8.65936	−	4.46948i	−0.282437	−	0.145778i
$941$	43.5383	−	25.1368i	1.41931	−	0.819437i	0.423069	−	0.906098i	$-0.360953\pi$
$941$	43.5383	−	25.1368i	1.41931	−	0.819437i	0.996238	+	0.0866607i	$0.0276196\pi$
$942$	5.94861	−	6.86019i	0.193816	−	0.223517i
$943$	−20.5703	+	5.51179i	−0.669861	+	0.179489i
$944$	39.7433	+	9.70085i	1.29353	+	0.315736i
$945$	27.4291	−	11.7916i	0.892268	−	0.383580i
$946$	−6.08551	+	12.5163i	−0.197857	+	0.406942i
$947$	10.2114	−	2.73614i	0.331827	−	0.0889128i	−0.0890589	−	0.996026i	$-0.528386\pi$
$947$	10.2114	−	2.73614i	0.331827	−	0.0889128i	0.420886	+	0.907114i	$0.361719\pi$
$948$	9.97463	−	4.26308i	0.323961	−	0.138458i
$949$	−22.5814	−	39.1121i	−0.733022	−	1.26963i
$950$	−22.8506	+	3.28759i	−0.741372	+	0.106664i
$951$		−	32.7096i		−	1.06068i
$952$	−18.0863	−	20.8672i	−0.586180	−	0.676308i
$953$	−9.57933	+	9.57933i	−0.310305	+	0.310305i	−0.845028	−	0.534723i	$-0.820416\pi$
$953$	−9.57933	+	9.57933i	−0.310305	+	0.310305i	0.534723	+	0.845028i	$0.320416\pi$
$954$	−0.464963	−	0.687504i	−0.0150537	−	0.0222588i
$955$	−27.8985	+	23.0453i	−0.902773	+	0.745730i
$956$	−6.77363	−	2.71728i	−0.219075	−	0.0878832i
$957$	0.244507	+	0.912512i	0.00790378	+	0.0294973i
$958$	53.6331	−	18.5415i	1.73281	−	0.599048i
$959$	17.1730	−	58.7434i	0.554544	−	1.89692i
$960$	17.8361	+	3.47258i	0.575659	+	0.112077i
$961$	24.8150	−	42.9808i	0.800483	−	1.38648i
$962$	72.3318	+	62.7204i	2.33207	+	2.02219i
$963$	23.7537	+	6.36478i	0.765452	+	0.205102i
$964$	−4.21639	−	29.4728i	−0.135801	−	0.949257i
$965$	33.1217	−	46.5349i	1.06623	−	1.49801i
$966$	3.07541	−	14.1945i	0.0989497	−	0.456699i
$967$	−28.2387	+	28.2387i	−0.908097	+	0.908097i	−0.996119	−	0.0880216i	$-0.971946\pi$
$967$	−28.2387	+	28.2387i	−0.908097	+	0.908097i	0.0880216	+	0.996119i	$0.471946\pi$
$968$	9.40201	+	18.2847i	0.302192	+	0.587693i
$969$	10.5983	−	6.11896i	0.340468	−	0.196569i
$970$	0.105813	+	0.436414i	0.00339746	+	0.0140124i
$971$	−5.46758	+	9.47012i	−0.175463	+	0.303911i	−0.940321	−	0.340288i	$-0.889476\pi$
$971$	−5.46758	+	9.47012i	−0.175463	+	0.303911i	0.764858	+	0.644198i	$0.222809\pi$
$972$	−3.80473	+	31.6327i	−0.122037	+	1.01462i
$973$	−0.882213	+	39.0060i	−0.0282825	+	1.25048i
$974$	22.3872	−	46.0449i	0.717334	−	1.47537i
$975$	5.41879	−	28.1828i	0.173540	−	0.902573i
$976$	7.16180	+	24.5185i	0.229244	+	0.784817i
$977$	−9.83986	+	36.7229i	−0.314805	+	1.17487i	0.609366	+	0.792889i	$0.291424\pi$
$977$	−9.83986	+	36.7229i	−0.314805	+	1.17487i	−0.924171	+	0.381979i	$0.875243\pi$
$978$	−24.1643	−	4.66611i	−0.772690	−	0.149206i
$979$			12.4835i			0.398974i
$980$	−22.0940	+	22.1778i	−0.705768	+	0.708443i
$981$			10.3521i			0.330517i
$982$	4.31427	−	22.3423i	0.137674	−	0.712970i
$983$	5.38205	−	20.0861i	0.171661	−	0.640647i	−0.825436	−	0.564496i	$-0.809070\pi$
$983$	5.38205	−	20.0861i	0.171661	−	0.640647i	0.997096	−	0.0761503i	$-0.0242629\pi$
$984$	11.8592	−	10.7579i	0.378057	−	0.342949i
$985$	7.49501	+	16.4021i	0.238811	+	0.522615i
$986$	2.25977	+	1.09871i	0.0719658	+	0.0349901i
$987$	0.132417	−	5.85464i	0.00421486	−	0.186355i
$988$	−4.40609	+	36.6324i	−0.140176	+	1.16543i
$989$	−9.73466	+	16.8609i	−0.309544	+	0.536146i
$990$	6.25820	−	10.2642i	0.198899	−	0.326219i
$991$	−33.5694	+	19.3813i	−1.06637	+	0.615667i	−0.927187	−	0.374600i	$-0.877780\pi$
$991$	−33.5694	+	19.3813i	−1.06637	+	0.615667i	−0.139180	+	0.990267i	$0.544447\pi$
$992$	21.1824	−	46.1678i	0.672541	−	1.46583i
$993$	−4.63022	+	4.63022i	−0.146935	+	0.146935i
$994$	42.2325	+	9.15021i	1.33953	+	0.290227i
$995$	−41.8780	+	7.05172i	−1.32762	+	0.223554i
$996$	−17.0669	+	2.44160i	−0.540787	+	0.0773650i
$997$	24.7285	+	6.62599i	0.783161	+	0.209847i	0.628178	−	0.778070i	$-0.283801\pi$
$997$	24.7285	+	6.62599i	0.783161	+	0.209847i	0.154983	+	0.987917i	$0.450468\pi$
$998$	27.2747	−	31.4544i	0.863367	−	0.995671i
$999$	30.2306	−	52.3609i	0.956454	−	1.65663i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.26	yes	176
5.3	odd	4	inner	280.2.br.a.163.3	yes	176
7.4	even	3	inner	280.2.br.a.67.35	yes	176
8.3	odd	2	inner	280.2.br.a.107.33	yes	176
35.18	odd	12	inner	280.2.br.a.123.33	yes	176
40.3	even	4	inner	280.2.br.a.163.35	yes	176
56.11	odd	6	inner	280.2.br.a.67.3	✓	176
280.123	even	12	inner	280.2.br.a.123.26	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.3	✓	176	56.11	odd	6	inner
280.2.br.a.67.35	yes	176	7.4	even	3	inner
280.2.br.a.107.26	yes	176	1.1	even	1	trivial
280.2.br.a.107.33	yes	176	8.3	odd	2	inner
280.2.br.a.123.26	yes	176	280.123	even	12	inner
280.2.br.a.123.33	yes	176	35.18	odd	12	inner
280.2.br.a.163.3	yes	176	5.3	odd	4	inner
280.2.br.a.163.35	yes	176	40.3	even	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.268130 - 1.38856i) q^{2} +(-0.981180 - 0.262906i) q^{3} +(-1.85621 - 0.744631i) q^{4} +(0.780960 - 2.09526i) q^{5} +(-0.628146 + 1.29194i) q^{6} +(2.64507 + 0.0598247i) q^{7} +(-1.53167 + 2.37781i) q^{8} +(-1.70448 - 0.984083i) q^{9} +O(q^{10})\)	\(q+(0.268130 - 1.38856i) q^{2} +(-0.981180 - 0.262906i) q^{3} +(-1.85621 - 0.744631i) q^{4} +(0.780960 - 2.09526i) q^{5} +(-0.628146 + 1.29194i) q^{6} +(2.64507 + 0.0598247i) q^{7} +(-1.53167 + 2.37781i) q^{8} +(-1.70448 - 0.984083i) q^{9} +(-2.70000 - 1.64621i) q^{10} +(-0.965766 - 1.67276i) q^{11} +(1.62551 + 1.21863i) q^{12} +(-3.99556 - 3.99556i) q^{13} +(0.792295 - 3.65681i) q^{14} +(-1.31712 + 1.85051i) q^{15} +(2.89105 + 2.76439i) q^{16} +(-0.955073 + 3.56438i) q^{17} +(-1.82348 + 2.10292i) q^{18} +(2.82743 + 1.63242i) q^{19} +(-3.00982 + 3.30772i) q^{20} +(-2.57957 - 0.754106i) q^{21} +(-2.58168 + 0.892510i) q^{22} +(-3.69109 + 0.989026i) q^{23} +(2.12799 - 1.93037i) q^{24} +(-3.78020 - 3.27262i) q^{25} +(-6.61942 + 4.47676i) q^{26} +(3.56850 + 3.56850i) q^{27} +(-4.86527 - 2.08065i) q^{28} +0.481491 q^{29} +(2.21638 + 2.32508i) q^{30} +(7.77640 - 4.48971i) q^{31} +(4.61370 - 3.27319i) q^{32} +(0.507812 + 1.89518i) q^{33} +(4.69328 + 2.28190i) q^{34} +(2.19104 - 5.49539i) q^{35} +(2.43110 + 3.09588i) q^{36} +(-3.10079 - 11.5723i) q^{37} +(3.02484 - 3.48837i) q^{38} +(2.86991 + 4.97082i) q^{39} +(3.78595 + 5.06622i) q^{40} +5.57295 q^{41} +(-1.73878 + 3.37969i) q^{42} +(3.60267 - 3.60267i) q^{43} +(0.547081 + 3.82413i) q^{44} +(-3.39304 + 2.80280i) q^{45} +(0.383630 + 5.39050i) q^{46} +(0.563966 + 2.10475i) q^{47} +(-2.10986 - 3.47244i) q^{48} +(6.99284 + 0.316481i) q^{49} +(-5.55783 + 4.37156i) q^{50} +(1.87420 - 3.24621i) q^{51} +(4.44139 + 10.3918i) q^{52} +(-0.0771760 + 0.288025i) q^{53} +(5.91191 - 3.99827i) q^{54} +(-4.25908 + 0.717173i) q^{55} +(-4.19364 + 6.19785i) q^{56} +(-2.34505 - 2.34505i) q^{57} +(0.129102 - 0.668580i) q^{58} +(8.85729 - 5.11376i) q^{59} +(3.82280 - 2.45416i) q^{60} +(5.53023 + 3.19288i) q^{61} +(-4.14915 - 12.0019i) q^{62} +(-4.44961 - 2.70494i) q^{63} +(-3.30795 - 7.28405i) q^{64} +(-11.4921 + 5.25136i) q^{65} +(2.76774 - 0.196974i) q^{66} +(-1.35258 + 5.04789i) q^{67} +(4.42697 - 5.90507i) q^{68} +3.88165 q^{69} +(-7.04321 - 4.51588i) q^{70} +11.5490i q^{71} +(4.95067 - 2.54564i) q^{72} +(7.72025 + 2.06863i) q^{73} +(-16.9003 + 1.20276i) q^{74} +(2.84867 + 4.20487i) q^{75} +(-4.03277 - 5.13551i) q^{76} +(-2.45445 - 4.48234i) q^{77} +(7.67181 - 2.65222i) q^{78} +(2.66970 - 4.62406i) q^{79} +(8.04989 - 3.89862i) q^{80} +(0.389087 + 0.673919i) q^{81} +(1.49428 - 7.73840i) q^{82} +(-6.00074 + 6.00074i) q^{83} +(4.22669 + 3.32061i) q^{84} +(6.72242 + 4.78476i) q^{85} +(-4.03655 - 5.96852i) q^{86} +(-0.472429 - 0.126587i) q^{87} +(5.45673 + 0.265709i) q^{88} +(-5.59712 - 3.23150i) q^{89} +(2.98208 + 5.46296i) q^{90} +(-10.3295 - 10.8076i) q^{91} +(7.58791 + 0.912662i) q^{92} +(-8.81043 + 2.36075i) q^{93} +(3.07380 - 0.218755i) q^{94} +(5.62845 - 4.64935i) q^{95} +(-5.38741 + 1.99861i) q^{96} +(-0.100413 - 0.100413i) q^{97} +(2.31445 - 9.62514i) q^{98} +3.80157i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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