LMFDB - Embedded newform 170.2.r.a.23.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$4$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			23.2
Character	$\chi$	$=$	170.23
Dual form			170.2.r.a.37.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.923880 + 0.382683i) q^{2} +(-0.856804 - 0.572498i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.44860 + 1.70339i) q^{5} +(1.01067 + 0.201035i) q^{6} +(-1.64388 - 0.326988i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(-0.741692 - 1.79060i) q^{9} +O(q^{10})$	\(q+(-0.923880 + 0.382683i) q^{2} +(-0.856804 - 0.572498i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.44860 + 1.70339i) q^{5} +(1.01067 + 0.201035i) q^{6} +(-1.64388 - 0.326988i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(-0.741692 - 1.79060i) q^{9} +(0.686475 - 2.12809i) q^{10} +(-1.12842 + 5.67293i) q^{11} +(-1.01067 + 0.201035i) q^{12} -4.62429 q^{13} +(1.64388 - 0.326988i) q^{14} +(2.21636 - 0.630150i) q^{15} -1.00000i q^{16} +(-3.82690 - 1.53454i) q^{17} +(1.37047 + 1.37047i) q^{18} +(-0.932809 + 2.25200i) q^{19} +(0.180163 + 2.22880i) q^{20} +(1.22128 + 1.22128i) q^{21} +(-1.12842 - 5.67293i) q^{22} +(1.85758 + 2.78006i) q^{23} +(0.856804 - 0.572498i) q^{24} +(-0.803094 - 4.93508i) q^{25} +(4.27229 - 1.76964i) q^{26} +(-0.992735 + 4.99082i) q^{27} +(-1.39361 + 0.931182i) q^{28} +(3.70873 - 5.55051i) q^{29} +(-1.80650 + 1.43035i) q^{30} +(-0.914558 - 4.59779i) q^{31} +(0.382683 + 0.923880i) q^{32} +(4.21457 - 4.21457i) q^{33} +(4.12284 - 0.0467655i) q^{34} +(2.93832 - 2.32649i) q^{35} +(-1.79060 - 0.741692i) q^{36} +(-0.910181 + 1.36218i) q^{37} -2.43755i q^{38} +(3.96211 + 2.64740i) q^{39} +(-1.01937 - 1.99020i) q^{40} +(6.23402 + 9.32987i) q^{41} +(-1.59568 - 0.660953i) q^{42} +(9.87239 + 4.08928i) q^{43} +(3.21346 + 4.80928i) q^{44} +(4.12452 + 1.33048i) q^{45} +(-2.78006 - 1.85758i) q^{46} -2.54171i q^{47} +(-0.572498 + 0.856804i) q^{48} +(-3.87174 - 1.60373i) q^{49} +(2.63054 + 4.25209i) q^{50} +(2.40039 + 3.50569i) q^{51} +(-3.26987 + 3.26987i) q^{52} +(-1.76263 - 4.25536i) q^{53} +(-0.992735 - 4.99082i) q^{54} +(-8.02861 - 10.1400i) q^{55} +(0.931182 - 1.39361i) q^{56} +(2.08850 - 1.39549i) q^{57} +(-1.30233 + 6.54728i) q^{58} +(-9.68021 + 4.00967i) q^{59} +(1.12162 - 2.01279i) q^{60} +(3.66782 - 2.45076i) q^{61} +(2.60444 + 3.89782i) q^{62} +(0.633746 + 3.18606i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(6.69876 - 7.87698i) q^{65} +(-2.28091 + 5.50661i) q^{66} +(-1.91399 - 1.91399i) q^{67} +(-3.79111 + 1.62095i) q^{68} -3.44543i q^{69} +(-1.82434 + 3.27385i) q^{70} +(-8.05408 + 1.60206i) q^{71} +1.93813 q^{72} +(-5.37374 + 1.06890i) q^{73} +(0.319613 - 1.60680i) q^{74} +(-2.13723 + 4.68817i) q^{75} +(0.932809 + 2.25200i) q^{76} +(3.70996 - 8.95664i) q^{77} +(-4.67362 - 0.929642i) q^{78} +(-4.50408 - 0.895917i) q^{79} +(1.70339 + 1.44860i) q^{80} +(-0.403592 + 0.403592i) q^{81} +(-9.32987 - 6.23402i) q^{82} +(-5.66048 + 2.34465i) q^{83} +1.72715 q^{84} +(8.15759 - 4.29578i) q^{85} -10.6858 q^{86} +(-6.35531 + 2.63246i) q^{87} +(-4.80928 - 3.21346i) q^{88} +(-10.2485 + 10.2485i) q^{89} +(-4.31971 + 0.349180i) q^{90} +(7.60177 + 1.51209i) q^{91} +(3.27931 + 0.652295i) q^{92} +(-1.84863 + 4.46299i) q^{93} +(0.972672 + 2.34824i) q^{94} +(-2.48477 - 4.85120i) q^{95} +(0.201035 - 1.01067i) q^{96} +(9.36520 - 1.86285i) q^{97} +4.19074 q^{98} +(10.9949 - 2.18702i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q+O(q^{10}) $ 32 * q	$ 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) $ 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$3$	−0.856804	−	0.572498i	−0.494676	−	0.330532i	0.283082	−	0.959096i	$-0.408643\pi$
$3$	−0.856804	−	0.572498i	−0.494676	−	0.330532i	−0.777758	+	0.628564i	$0.783643\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	−1.44860	+	1.70339i	−0.647835	+	0.761780i
$5$	−1.44860	+	1.70339i	−0.647835	+	0.761780i
$6$	1.01067	+	0.201035i	0.412604	+	0.0820720i
$7$	−1.64388	−	0.326988i	−0.621328	−	0.123590i	−0.125619	−	0.992079i	$-0.540092\pi$
$7$	−1.64388	−	0.326988i	−0.621328	−	0.123590i	−0.495709	+	0.868489i	$0.665092\pi$
$8$	−0.382683	+	0.923880i	−0.135299	+	0.326641i
$9$	−0.741692	−	1.79060i	−0.247231	−	0.596867i
$10$	0.686475	−	2.12809i	0.217083	−	0.672960i
$11$	−1.12842	+	5.67293i	−0.340230	+	1.71045i	0.310017	+	0.950731i	$0.399665\pi$
$11$	−1.12842	+	5.67293i	−0.340230	+	1.71045i	−0.650247	+	0.759723i	$0.725335\pi$
$12$	−1.01067	+	0.201035i	−0.291755	+	0.0580337i
$13$	−4.62429			−1.28255			−0.641274	−	0.767312i	$-0.721594\pi$
$13$	−4.62429			−1.28255			−0.641274	+	0.767312i	$0.721594\pi$
$14$	1.64388	−	0.326988i	0.439345	−	0.0873912i
$15$	2.21636	−	0.630150i	0.572261	−	0.162704i
$16$		−	1.00000i		−	0.250000i
$17$	−3.82690	−	1.53454i	−0.928161	−	0.372180i
$17$	−3.82690	−	1.53454i	−0.928161	−	0.372180i
$18$	1.37047	+	1.37047i	0.323022	+	0.323022i
$19$	−0.932809	+	2.25200i	−0.214001	+	0.516644i	−0.994031	−	0.109098i	$-0.965204\pi$
$19$	−0.932809	+	2.25200i	−0.214001	+	0.516644i	0.780030	+	0.625742i	$0.215204\pi$
$20$	0.180163	+	2.22880i	0.0402857	+	0.498374i
$21$	1.22128	+	1.22128i	0.266505	+	0.266505i
$22$	−1.12842	−	5.67293i	−0.240579	−	1.20947i
$23$	1.85758	+	2.78006i	0.387332	+	0.579684i	0.972982	−	0.230881i	$-0.0741606\pi$
$23$	1.85758	+	2.78006i	0.387332	+	0.579684i	−0.585650	+	0.810564i	$0.699161\pi$
$24$	0.856804	−	0.572498i	0.174894	−	0.116861i
$25$	−0.803094	−	4.93508i	−0.160619	−	0.987017i
$26$	4.27229	−	1.76964i	0.837864	−	0.347055i
$27$	−0.992735	+	4.99082i	−0.191052	+	0.960483i
$28$	−1.39361	+	0.931182i	−0.263368	+	0.175977i
$29$	3.70873	−	5.55051i	0.688695	−	1.03070i	−0.308151	−	0.951337i	$-0.599710\pi$
$29$	3.70873	−	5.55051i	0.688695	−	1.03070i	0.996845	−	0.0793667i	$-0.0252898\pi$
$30$	−1.80650	+	1.43035i	−0.329820	+	0.261144i
$31$	−0.914558	−	4.59779i	−0.164260	−	0.825788i	−0.971769	−	0.235934i	$-0.924185\pi$
$31$	−0.914558	−	4.59779i	−0.164260	−	0.825788i	0.807510	−	0.589854i	$-0.200815\pi$
$32$	0.382683	+	0.923880i	0.0676495	+	0.163320i
$33$	4.21457	−	4.21457i	0.733663	−	0.733663i
$34$	4.12284	−	0.0467655i	0.707061	−	0.00802021i
$35$	2.93832	−	2.32649i	0.496666	−	0.393249i
$36$	−1.79060	−	0.741692i	−0.298434	−	0.123615i
$37$	−0.910181	+	1.36218i	−0.149633	+	0.223941i	−0.898712	−	0.438539i	$-0.855496\pi$
$37$	−0.910181	+	1.36218i	−0.149633	+	0.223941i	0.749079	+	0.662480i	$0.230496\pi$
$38$		−	2.43755i		−	0.395422i
$39$	3.96211	+	2.64740i	0.634445	+	0.423923i
$40$	−1.01937	−	1.99020i	−0.161177	−	0.314678i
$41$	6.23402	+	9.32987i	0.973591	+	1.45708i	0.887508	+	0.460793i	$0.152435\pi$
$41$	6.23402	+	9.32987i	0.973591	+	1.45708i	0.0860830	+	0.996288i	$0.472565\pi$
$42$	−1.59568	−	0.660953i	−0.246219	−	0.101987i
$43$	9.87239	+	4.08928i	1.50553	+	0.623609i	0.974629	−	0.223827i	$-0.0718551\pi$
$43$	9.87239	+	4.08928i	1.50553	+	0.623609i	0.530897	+	0.847436i	$0.321855\pi$
$44$	3.21346	+	4.80928i	0.484447	+	0.725026i
$45$	4.12452	+	1.33048i	0.614847	+	0.198336i
$46$	−2.78006	−	1.85758i	−0.409898	−	0.273885i
$47$		−	2.54171i		−	0.370747i	−0.982668	−	0.185374i	$-0.940650\pi$
$47$		−	2.54171i		−	0.370747i	0.982668	−	0.185374i	$-0.0593495\pi$
$48$	−0.572498	+	0.856804i	−0.0826329	+	0.123669i
$49$	−3.87174	−	1.60373i	−0.553106	−	0.229104i
$50$	2.63054	+	4.25209i	0.372014	+	0.601337i
$51$	2.40039	+	3.50569i	0.336121	+	0.490895i
$52$	−3.26987	+	3.26987i	−0.453449	+	0.453449i
$53$	−1.76263	−	4.25536i	−0.242116	−	0.584519i	0.755377	−	0.655290i	$-0.227454\pi$
$53$	−1.76263	−	4.25536i	−0.242116	−	0.584519i	−0.997493	+	0.0707718i	$0.977454\pi$
$54$	−0.992735	−	4.99082i	−0.135094	−	0.679164i
$55$	−8.02861	−	10.1400i	−1.08258	−	1.36727i
$56$	0.931182	−	1.39361i	0.124434	−	0.186229i
$57$	2.08850	−	1.39549i	0.276628	−	0.184837i
$58$	−1.30233	+	6.54728i	−0.171005	+	0.859699i
$59$	−9.68021	+	4.00967i	−1.26026	+	0.522015i	−0.909988	−	0.414635i	$-0.863909\pi$
$59$	−9.68021	+	4.00967i	−1.26026	+	0.522015i	−0.350268	+	0.936650i	$0.613909\pi$
$60$	1.12162	−	2.01279i	0.144800	−	0.259849i
$61$	3.66782	−	2.45076i	0.469616	−	0.313788i	−0.298148	−	0.954520i	$-0.596369\pi$
$61$	3.66782	−	2.45076i	0.469616	−	0.313788i	0.767765	+	0.640732i	$0.221369\pi$
$62$	2.60444	+	3.89782i	0.330764	+	0.495024i
$63$	0.633746	+	3.18606i	0.0798445	+	0.401405i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	6.69876	−	7.87698i	0.830879	−	0.977019i
$66$	−2.28091	+	5.50661i	−0.280761	+	0.677816i
$67$	−1.91399	−	1.91399i	−0.233831	−	0.233831i	0.580459	−	0.814290i	$-0.302873\pi$
$67$	−1.91399	−	1.91399i	−0.233831	−	0.233831i	−0.814290	+	0.580459i	$0.802873\pi$
$68$	−3.79111	+	1.62095i	−0.459740	+	0.196569i
$69$		−	3.44543i		−	0.414781i
$70$	−1.82434	+	3.27385i	−0.218050	+	0.391299i
$71$	−8.05408	+	1.60206i	−0.955843	+	0.190129i	−0.648283	−	0.761400i	$-0.724513\pi$
$71$	−8.05408	+	1.60206i	−0.955843	+	0.190129i	−0.307560	+	0.951529i	$0.599513\pi$
$72$	1.93813			0.228411
$73$	−5.37374	+	1.06890i	−0.628949	+	0.125106i	−0.499264	−	0.866450i	$-0.666396\pi$
$73$	−5.37374	+	1.06890i	−0.628949	+	0.125106i	−0.129684	+	0.991555i	$0.541396\pi$
$74$	0.319613	−	1.60680i	0.0371543	−	0.186787i
$75$	−2.13723	+	4.68817i	−0.246786	+	0.541343i
$76$	0.932809	+	2.25200i	0.107001	+	0.258322i
$77$	3.70996	−	8.95664i	0.422789	−	1.02070i
$78$	−4.67362	−	0.929642i	−0.529184	−	0.105261i
$79$	−4.50408	−	0.895917i	−0.506749	−	0.100799i	−0.0649064	−	0.997891i	$-0.520675\pi$
$79$	−4.50408	−	0.895917i	−0.506749	−	0.100799i	−0.441842	+	0.897093i	$0.645675\pi$
$80$	1.70339	+	1.44860i	0.190445	+	0.161959i
$81$	−0.403592	+	0.403592i	−0.0448435	+	0.0448435i
$82$	−9.32987	−	6.23402i	−1.03031	−	0.688432i
$83$	−5.66048	+	2.34465i	−0.621318	+	0.257358i	−0.671059	−	0.741404i	$-0.734160\pi$
$83$	−5.66048	+	2.34465i	−0.621318	+	0.257358i	0.0497411	+	0.998762i	$0.484160\pi$
$84$	1.72715			0.188448
$85$	8.15759	−	4.29578i	0.884815	−	0.465943i
$86$	−10.6858			−1.15228
$87$	−6.35531	+	2.63246i	−0.681361	+	0.282229i
$88$	−4.80928	−	3.21346i	−0.512671	−	0.342556i
$89$	−10.2485	+	10.2485i	−1.08634	+	1.08634i	−0.0904408	+	0.995902i	$0.528828\pi$
$89$	−10.2485	+	10.2485i	−1.08634	+	1.08634i	−0.995902	+	0.0904408i	$0.971172\pi$
$90$	−4.31971	+	0.349180i	−0.455337	+	0.0368068i
$91$	7.60177	+	1.51209i	0.796882	+	0.158510i
$92$	3.27931	+	0.652295i	0.341892	+	0.0680065i
$93$	−1.84863	+	4.46299i	−0.191694	+	0.462790i
$94$	0.972672	+	2.34824i	0.100323	+	0.242202i
$95$	−2.48477	−	4.85120i	−0.254932	−	0.497722i
$96$	0.201035	−	1.01067i	0.0205180	−	0.103151i
$97$	9.36520	−	1.86285i	0.950892	−	0.189144i	0.304811	−	0.952413i	$-0.401407\pi$
$97$	9.36520	−	1.86285i	0.950892	−	0.189144i	0.646081	+	0.763269i	$0.276407\pi$
$98$	4.19074			0.423329
$99$	10.9949	−	2.18702i	1.10503	−	0.219804i
$100$	−4.05750	−	2.92176i	−0.405750	−	0.292176i
$101$		−	8.75461i		−	0.871116i	−0.900161	−	0.435558i	$-0.856551\pi$
$101$		−	8.75461i		−	0.871116i	0.900161	−	0.435558i	$-0.143449\pi$
$102$	−3.55924	−	2.32025i	−0.352417	−	0.229739i
$103$	6.22956	+	6.22956i	0.613817	+	0.613817i	0.943938	−	0.330122i	$-0.107090\pi$
$103$	6.22956	+	6.22956i	0.613817	+	0.613817i	−0.330122	+	0.943938i	$0.607090\pi$
$104$	1.76964	−	4.27229i	0.173527	−	0.418932i
$105$	−3.84947	+	0.311169i	−0.375670	+	0.0303670i
$106$	3.25691	+	3.25691i	0.316339	+	0.316339i
$107$	2.54866	+	12.8130i	0.246388	+	1.23868i	0.883693	+	0.468066i	$0.155049\pi$
$107$	2.54866	+	12.8130i	0.246388	+	1.23868i	−0.637305	+	0.770612i	$0.719951\pi$
$108$	2.82707	+	4.23101i	0.272035	+	0.407129i
$109$	−7.92144	+	5.29294i	−0.758737	+	0.506972i	−0.873740	−	0.486394i	$-0.838312\pi$
$109$	−7.92144	+	5.29294i	−0.758737	+	0.506972i	0.115003	+	0.993365i	$0.463312\pi$
$110$	11.2979	+	6.29570i	1.07721	+	0.600271i
$111$	1.55969	−	0.646046i	0.148040	−	0.0613200i
$112$	−0.326988	+	1.64388i	−0.0308974	+	0.155332i
$113$	−5.75578	+	3.84589i	−0.541458	+	0.361791i	−0.796024	−	0.605264i	$-0.793067\pi$
$113$	−5.75578	+	3.84589i	−0.541458	+	0.361791i	0.254566	+	0.967055i	$0.418067\pi$
$114$	−1.39549	+	2.08850i	−0.130700	+	0.195606i
$115$	−7.42644	−	0.863025i	−0.692519	−	0.0804775i
$116$	−1.30233	−	6.54728i	−0.120919	−	0.607899i
$117$	3.42980	+	8.28026i	0.317085	+	0.765511i
$118$	7.40891	−	7.40891i	0.682045	−	0.682045i
$119$	5.78919	+	3.77394i	0.530694	+	0.345957i
$120$	−0.265980	+	2.28880i	−0.0242806	+	0.208937i
$121$	−20.7462	−	8.59335i	−1.88602	−	0.781214i
$122$	−2.45076	+	3.66782i	−0.221881	+	0.332069i
$123$		−	11.5628i		−	1.04259i
$124$	−3.89782	−	2.60444i	−0.350035	−	0.233886i
$125$	9.56975	+	5.78100i	0.855944	+	0.517068i
$126$	−1.80476	−	2.70101i	−0.160780	−	0.240625i
$127$	12.7690	+	5.28908i	1.13306	+	0.469330i	0.868821	−	0.495127i	$-0.164878\pi$
$127$	12.7690	+	5.28908i	1.13306	+	0.469330i	0.264242	+	0.964457i	$0.414878\pi$
$128$	0.923880	+	0.382683i	0.0816602	+	0.0338248i
$129$	−6.11760	−	9.15563i	−0.538624	−	0.806108i
$130$	−3.17446	+	9.84089i	−0.278419	+	0.863103i
$131$	−0.0869490	−	0.0580974i	−0.00759677	−	0.00507600i	0.551766	−	0.833999i	$-0.313954\pi$
$131$	−0.0869490	−	0.0580974i	−0.00759677	−	0.00507600i	−0.559363	+	0.828923i	$0.688954\pi$
$132$		−	5.96031i		−	0.518778i
$133$	2.26980	−	3.39700i	0.196817	−	0.294557i
$134$	2.50074	+	1.03584i	0.216031	+	0.0894831i
$135$	−7.06324	−	8.92074i	−0.607907	−	0.767775i
$136$	2.88222	−	2.94836i	0.247148	−	0.252819i
$137$	4.08626	−	4.08626i	0.349112	−	0.349112i	−0.510666	−	0.859779i	$-0.670601\pi$
$137$	4.08626	−	4.08626i	0.349112	−	0.349112i	0.859779	+	0.510666i	$0.170601\pi$
$138$	1.31851	+	3.18316i	0.112239	+	0.270969i
$139$	−0.320189	−	1.60970i	−0.0271581	−	0.136533i	0.964828	−	0.262884i	$-0.0846735\pi$
$139$	−0.320189	−	1.60970i	−0.0271581	−	0.136533i	−0.991986	+	0.126351i	$0.959674\pi$
$140$	0.432624	−	3.72278i	0.0365634	−	0.314633i
$141$	−1.45513	+	2.17775i	−0.122544	+	0.183400i
$142$	6.82792	−	4.56227i	0.572986	−	0.382857i
$143$	5.21813	−	26.2333i	0.436362	−	2.19374i
$144$	−1.79060	+	0.741692i	−0.149217	+	0.0618076i
$145$	4.08222	+	14.3579i	0.339010	+	1.19236i
$146$	4.55564	−	3.04398i	0.377027	−	0.251922i
$147$	2.39919	+	3.59064i	0.197882	+	0.296151i
$148$	0.319613	+	1.60680i	0.0262720	+	0.132078i
$149$	7.67572	+	7.67572i	0.628820	+	0.628820i	0.947771	−	0.318951i	$-0.103331\pi$
$149$	7.67572	+	7.67572i	0.628820	+	0.628820i	−0.318951	+	0.947771i	$0.603331\pi$
$150$	0.180460	−	5.14918i	0.0147345	−	0.420429i
$151$	−3.20221	+	7.73081i	−0.260592	+	0.629124i	−0.998975	−	0.0452566i	$-0.985589\pi$
$151$	−3.20221	+	7.73081i	−0.260592	+	0.629124i	0.738384	+	0.674381i	$0.235589\pi$
$152$	−1.72361	−	1.72361i	−0.139803	−	0.139803i
$153$	0.0906377	+	7.99062i	0.00732763	+	0.646003i
$154$			9.69459i			0.781213i
$155$	9.15668	+	5.10253i	0.735482	+	0.409845i
$156$	4.67362	−	0.929642i	0.374189	−	0.0744309i
$157$	−5.11593			−0.408296			−0.204148	−	0.978940i	$-0.565442\pi$
$157$	−5.11593			−0.408296			−0.204148	+	0.978940i	$0.565442\pi$
$158$	4.50408	−	0.895917i	0.358325	−	0.0712754i
$159$	−0.925959	+	4.65511i	−0.0734333	+	0.369174i
$160$	−2.12809	−	0.686475i	−0.168240	−	0.0542706i
$161$	−2.14459	−	5.17749i	−0.169017	−	0.408044i
$162$	0.218422	−	0.527318i	0.0171609	−	0.0414300i
$163$	9.81857	+	1.95303i	0.769050	+	0.152973i	0.563996	−	0.825777i	$-0.309263\pi$
$163$	9.81857	+	1.95303i	0.769050	+	0.152973i	0.205053	+	0.978751i	$0.434263\pi$
$164$	11.0053	+	2.18910i	0.859372	+	0.170940i
$165$	1.07383	+	13.2843i	0.0835973	+	1.03418i
$166$	4.33234	−	4.33234i	0.336255	−	0.336255i
$167$	−10.5435	−	7.04496i	−0.815883	−	0.545156i	0.0761654	−	0.997095i	$-0.475732\pi$
$167$	−10.5435	−	7.04496i	−0.815883	−	0.545156i	−0.892049	+	0.451939i	$0.850732\pi$
$168$	−1.59568	+	0.660953i	−0.123109	+	0.0509936i
$169$	8.38405			0.644927
$170$	−5.89270	+	7.09056i	−0.451950	+	0.543821i
$171$	4.72429			0.361276
$172$	9.87239	−	4.08928i	0.752763	−	0.311805i
$173$	−5.91996	−	3.95559i	−0.450086	−	0.300738i	0.309791	−	0.950805i	$-0.399741\pi$
$173$	−5.91996	−	3.95559i	−0.450086	−	0.300738i	−0.759877	+	0.650067i	$0.774741\pi$
$174$	4.86415	−	4.86415i	0.368750	−	0.368750i
$175$	−0.293523	+	8.37528i	−0.0221883	+	0.633111i
$176$	5.67293	+	1.12842i	0.427613	+	0.0850576i
$177$	10.5896	+	2.10640i	0.795960	+	0.158326i
$178$	5.54647	−	13.3904i	0.415725	−	1.00365i
$179$	−3.11798	−	7.52747i	−0.233049	−	0.562629i	0.763484	−	0.645826i	$-0.223487\pi$
$179$	−3.11798	−	7.52747i	−0.233049	−	0.562629i	−0.996533	+	0.0831969i	$0.973487\pi$
$180$	3.85727	−	1.97568i	0.287504	−	0.147259i
$181$	2.60085	−	13.0754i	0.193320	−	0.971883i	−0.755279	−	0.655403i	$-0.772499\pi$
$181$	2.60085	−	13.0754i	0.193320	−	0.971883i	0.948599	−	0.316480i	$-0.102501\pi$
$182$	−7.60177	+	1.51209i	−0.563481	+	0.112083i
$183$	−4.54566			−0.336025
$184$	−3.27931	+	0.652295i	−0.241754	+	0.0480879i
$185$	−1.00184	−	3.52366i	−0.0736567	−	0.259065i
$186$		−	4.83071i		−	0.354204i
$187$	13.0237	−	19.9782i	0.952385	−	1.46095i
$188$	−1.79726	−	1.79726i	−0.131079	−	0.131079i
$189$	3.26387	−	7.87968i	0.237412	−	0.573163i
$190$	4.15210	+	3.53104i	0.301225	+	0.256169i
$191$	−12.4734	−	12.4734i	−0.902546	−	0.902546i	0.0931101	−	0.995656i	$-0.470319\pi$
$191$	−12.4734	−	12.4734i	−0.902546	−	0.902546i	−0.995656	+	0.0931101i	$0.970319\pi$
$192$	0.201035	+	1.01067i	0.0145084	+	0.0729387i
$193$	−1.75845	−	2.63170i	−0.126576	−	0.189434i	0.762769	−	0.646671i	$-0.223839\pi$
$193$	−1.75845	−	2.63170i	−0.126576	−	0.189434i	−0.889345	+	0.457237i	$0.848839\pi$
$194$	−7.93943	+	5.30496i	−0.570018	+	0.380874i
$195$	−10.2491	+	2.91400i	−0.733952	+	0.208676i
$196$	−3.87174	+	1.60373i	−0.276553	+	0.114552i
$197$	−3.91682	+	19.6912i	−0.279062	+	1.40294i	0.545947	+	0.837820i	$0.316170\pi$
$197$	−3.91682	+	19.6912i	−0.279062	+	1.40294i	−0.825009	+	0.565120i	$0.808830\pi$
$198$	−9.32103	+	6.22811i	−0.662417	+	0.442613i
$199$	−3.18389	+	4.76502i	−0.225700	+	0.337783i	−0.926986	−	0.375097i	$-0.877610\pi$
$199$	−3.18389	+	4.76502i	−0.225700	+	0.337783i	0.701286	+	0.712880i	$0.252610\pi$
$200$	4.86675	+	1.14661i	0.344131	+	0.0810778i
$201$	0.544157	+	2.73566i	0.0383819	+	0.192959i
$202$	3.35024	+	8.08820i	0.235722	+	0.569084i
$203$	−7.91166	+	7.91166i	−0.555289	+	0.555289i
$204$	4.17623	+	0.781569i	0.292394	+	0.0547208i
$205$	−24.9231	−	2.89630i	−1.74070	−	0.202287i
$206$	−8.13931	−	3.37141i	−0.567093	−	0.234897i
$207$	3.60024	−	5.38814i	0.250234	−	0.374501i
$208$			4.62429i			0.320637i
$209$	−11.7229	−	7.83296i	−0.810887	−	0.541817i
$210$	3.43737	−	1.76061i	0.237201	−	0.121494i
$211$	10.6946	+	16.0056i	0.736246	+	1.10187i	0.990869	+	0.134830i	$0.0430488\pi$
$211$	10.6946	+	16.0056i	0.736246	+	1.10187i	−0.254622	+	0.967041i	$0.581951\pi$
$212$	−4.25536	−	1.76263i	−0.292259	−	0.121058i
$213$	7.81793	+	3.23829i	0.535676	+	0.221884i
$214$	−7.25797	−	10.8623i	−0.496145	−	0.742533i
$215$	−21.2668	+	10.8928i	−1.45039	+	0.742884i
$216$	−4.23101	−	2.82707i	−0.287884	−	0.192358i
$217$			7.85727i			0.533386i
$218$	5.29294	−	7.92144i	0.358483	−	0.536508i
$219$	5.21618	+	2.16061i	0.352477	+	0.146001i
$220$	−12.8471	−	1.49296i	−0.866153	−	0.100655i
$221$	17.6967	+	7.09614i	1.19041	+	0.477338i
$222$	−1.19374	+	1.19374i	−0.0801184	+	0.0801184i
$223$	−1.65180	−	3.98779i	−0.110612	−	0.267042i	0.858874	−	0.512187i	$-0.171164\pi$
$223$	−1.65180	−	3.98779i	−0.110612	−	0.267042i	−0.969486	+	0.245145i	$0.921164\pi$
$224$	−0.326988	−	1.64388i	−0.0218478	−	0.109836i
$225$	−8.24112	+	5.09833i	−0.549408	+	0.339889i
$226$	3.84589	−	5.75578i	0.255825	−	0.382869i
$227$	−16.3559	+	10.9287i	−1.08558	+	0.725362i	−0.963648	−	0.267176i	$-0.913909\pi$
$227$	−16.3559	+	10.9287i	−1.08558	+	0.725362i	−0.121934	+	0.992538i	$0.538909\pi$
$228$	0.490031	−	2.46355i	0.0324531	−	0.163153i
$229$	4.35060	−	1.80208i	0.287496	−	0.119085i	−0.234275	−	0.972170i	$-0.575272\pi$
$229$	4.35060	−	1.80208i	0.287496	−	0.119085i	0.521771	+	0.853086i	$0.325272\pi$
$230$	7.19140	−	2.04464i	0.474187	−	0.134820i
$231$	−8.30636	+	5.55013i	−0.546518	+	0.365172i
$232$	3.70873	+	5.55051i	0.243490	+	0.364409i
$233$	−0.995617	−	5.00530i	−0.0652250	−	0.327908i	0.934372	−	0.356299i	$-0.115962\pi$
$233$	−0.995617	−	5.00530i	−0.0652250	−	0.327908i	−0.999597	+	0.0283910i	$0.990962\pi$
$234$	−6.33744	−	6.33744i	−0.414291	−	0.414291i
$235$	4.32954	+	3.68194i	0.282428	+	0.240183i
$236$	−4.00967	+	9.68021i	−0.261007	+	0.630128i
$237$	3.34620	+	3.34620i	0.217359	+	0.217359i
$238$	−6.79274	−	1.27124i	−0.440308	−	0.0824024i
$239$		−	2.61897i		−	0.169407i	−0.996406	−	0.0847037i	$-0.973006\pi$
$239$		−	2.61897i		−	0.169407i	0.996406	−	0.0847037i	$-0.0269944\pi$
$240$	−0.630150	−	2.21636i	−0.0406760	−	0.143065i
$241$	3.94028	−	0.783771i	0.253816	−	0.0504871i	−0.0665423	−	0.997784i	$-0.521197\pi$
$241$	3.94028	−	0.783771i	0.253816	−	0.0504871i	0.320358	+	0.947296i	$0.396197\pi$
$242$	22.4555			1.44349
$243$	15.5493	−	3.09295i	0.997488	−	0.198413i
$244$	0.860592	−	4.32649i	0.0550938	−	0.276975i
$245$	8.34040	−	4.27193i	0.532848	−	0.272924i
$246$	4.42490	+	10.6827i	0.282122	+	0.681102i
$247$	4.31358	−	10.4139i	0.274466	−	0.662621i
$248$	4.59779	+	0.914558i	0.291960	+	0.0580745i
$249$	6.19222	+	1.23171i	0.392416	+	0.0780564i
$250$	−11.0536	−	1.67876i	−0.699090	−	0.106174i
$251$	−7.61296	+	7.61296i	−0.480526	+	0.480526i	−0.905300	−	0.424774i	$-0.860354\pi$
$251$	−7.61296	+	7.61296i	−0.480526	+	0.480526i	0.424774	+	0.905300i	$0.360354\pi$
$252$	2.70101	+	1.80476i	0.170148	+	0.113689i
$253$	−17.8672	+	7.40086i	−1.12330	+	0.465288i
$254$	−13.8210			−0.867208
$255$	−9.44878	−	0.989558i	−0.591705	−	0.0619685i
$256$	−1.00000			−0.0625000
$257$	0.611539	−	0.253308i	0.0381467	−	0.0158009i	−0.363528	−	0.931583i	$-0.618428\pi$
$257$	0.611539	−	0.253308i	0.0381467	−	0.0158009i	0.401675	+	0.915782i	$0.368428\pi$
$258$	9.15563	+	6.11760i	0.570005	+	0.380865i
$259$	1.94164	−	1.94164i	0.120648	−	0.120648i
$260$	−0.833125	−	10.3066i	−0.0516682	−	0.639189i
$261$	−12.6895	−	2.52410i	−0.785460	−	0.156238i
$262$	0.102563	+	0.0204011i	0.00633638	+	0.00126038i
$263$	9.86725	−	23.8217i	0.608441	−	1.46891i	−0.256255	−	0.966609i	$-0.582489\pi$
$263$	9.86725	−	23.8217i	0.608441	−	1.46891i	0.864695	−	0.502297i	$-0.167511\pi$
$264$	2.28091	+	5.50661i	0.140380	+	0.338908i
$265$	9.80190	+	3.16188i	0.602126	+	0.194233i
$266$	−0.797048	+	4.00703i	−0.0488702	+	0.245687i
$267$	14.6482	−	2.91372i	0.896458	−	0.178317i
$268$	−2.70679			−0.165343
$269$	−27.1342	+	5.39732i	−1.65440	+	0.329081i	−0.932017	−	0.362414i	$-0.881953\pi$
$269$	−27.1342	+	5.39732i	−1.65440	+	0.329081i	−0.722382	+	0.691494i	$0.756953\pi$
$270$	9.93940	+	5.53870i	0.604893	+	0.337075i
$271$		−	1.15983i		−	0.0704548i	−0.999379	−	0.0352274i	$-0.988784\pi$
$271$		−	1.15983i		−	0.0704548i	0.999379	−	0.0352274i	$-0.0112155\pi$
$272$	−1.53454	+	3.82690i	−0.0930450	+	0.232040i
$273$	−5.64756	−	5.64756i	−0.341806	−	0.341806i
$274$	−2.21147	+	5.33895i	−0.133600	+	0.322538i
$275$	28.9026	+	1.01293i	1.74289	+	0.0610822i
$276$	−2.43629	−	2.43629i	−0.146647	−	0.146647i
$277$	4.28548	+	21.5445i	0.257489	+	1.29449i	0.865641	+	0.500665i	$0.166911\pi$
$277$	4.28548	+	21.5445i	0.257489	+	1.29449i	−0.608152	+	0.793821i	$0.708089\pi$
$278$	0.911821	+	1.36464i	0.0546874	+	0.0818455i
$279$	−7.55450	+	5.04776i	−0.452276	+	0.302201i
$280$	1.02496	+	3.60496i	0.0612528	+	0.215438i
$281$	29.3623	−	12.1623i	1.75161	−	0.725539i	0.753963	−	0.656916i	$-0.228140\pi$
$281$	29.3623	−	12.1623i	1.75161	−	0.725539i	0.997643	−	0.0686226i	$-0.0218604\pi$
$282$	0.510972	−	2.56883i	0.0304280	−	0.152972i
$283$	−15.9849	+	10.6808i	−0.950205	+	0.634907i	−0.931043	−	0.364910i	$-0.881100\pi$
$283$	−15.9849	+	10.6808i	−0.950205	+	0.634907i	−0.0191622	+	0.999816i	$0.506100\pi$
$284$	−4.56227	+	6.82792i	−0.270721	+	0.405162i
$285$	−0.648340	+	5.57905i	−0.0384043	+	0.330474i
$286$	5.21813	+	26.2333i	0.308554	+	1.55121i
$287$	−7.19722	−	17.3756i	−0.424838	−	1.02565i
$288$	1.37047	−	1.37047i	0.0807556	−	0.0807556i
$289$	12.2904	+	11.7451i	0.722964	+	0.690885i
$290$	−9.26602	−	11.7028i	−0.544119	−	0.687212i
$291$	−9.09061	−	3.76546i	−0.532901	−	0.220735i
$292$	−3.04398	+	4.55564i	−0.178135	+	0.266598i
$293$			0.480564i			0.0280748i	0.999901	+	0.0140374i	$0.00446840\pi$
$293$			0.480564i			0.0280748i	−0.999901	+	0.0140374i	$0.995532\pi$
$294$	−3.59064	−	2.39919i	−0.209411	−	0.139924i
$295$	7.19274	−	22.2976i	0.418777	−	1.29822i
$296$	−0.910181	−	1.36218i	−0.0529032	−	0.0791753i
$297$	−27.1924	−	11.2634i	−1.57786	−	0.653571i
$298$	−10.0288	−	4.15407i	−0.580954	−	0.240639i
$299$	−8.58999	−	12.8558i	−0.496772	−	0.743472i
$300$	1.80378	+	4.82628i	0.104141	+	0.278646i
$301$	−14.8919	−	9.95043i	−0.858353	−	0.573533i
$302$		−	8.36777i		−	0.481511i
$303$	−5.01199	+	7.50098i	−0.287932	+	0.430920i
$304$	2.25200	+	0.932809i	0.129161	+	0.0535003i
$305$	−1.13861	+	9.79792i	−0.0651968	+	0.561027i
$306$	−3.14162	−	7.34768i	−0.179594	−	0.420039i
$307$	10.5614	−	10.5614i	0.602772	−	0.602772i	−0.338275	−	0.941047i	$-0.609844\pi$
$307$	10.5614	−	10.5614i	0.602772	−	0.602772i	0.941047	+	0.338275i	$0.109844\pi$
$308$	−3.70996	−	8.95664i	−0.211395	−	0.510352i
$309$	−1.77110	−	8.90392i	−0.100754	−	0.506526i
$310$	−10.4123	−	1.21001i	−0.591380	−	0.0687242i
$311$	−8.98927	+	13.4534i	−0.509735	+	0.762872i	−0.993683	−	0.112225i	$-0.964202\pi$
$311$	−8.98927	+	13.4534i	−0.509735	+	0.762872i	0.483948	+	0.875097i	$0.339202\pi$
$312$	−3.96211	+	2.64740i	−0.224310	+	0.149879i
$313$	−0.858633	+	4.31664i	−0.0485328	+	0.243991i	−0.997435	−	0.0715797i	$-0.977196\pi$
$313$	−0.858633	+	4.31664i	−0.0485328	+	0.243991i	0.948902	+	0.315571i	$0.102196\pi$
$314$	4.72650	−	1.95778i	0.266732	−	0.110484i
$315$	−6.34515	−	3.53582i	−0.357509	−	0.199221i
$316$	−3.81838	+	2.55136i	−0.214800	+	0.143525i
$317$	−17.8387	−	26.6975i	−1.00192	−	1.49948i	−0.860448	−	0.509539i	$-0.829816\pi$
$317$	−17.8387	−	26.6975i	−1.00192	−	1.49948i	−0.141473	−	0.989942i	$-0.545184\pi$
$318$	−0.925959	−	4.65511i	−0.0519252	−	0.261046i
$319$	27.3027	+	27.3027i	1.52866	+	1.52866i
$320$	2.22880	−	0.180163i	0.124594	−	0.0100714i
$321$	5.15170	−	12.4373i	0.287540	−	0.694183i
$322$	3.96268	+	3.96268i	0.220832	+	0.220832i
$323$	7.02555	−	7.18676i	0.390912	−	0.399882i
$324$			0.570765i			0.0317092i
$325$	3.71374	+	22.8212i	0.206001	+	1.26590i
$326$	−9.81857	+	1.95303i	−0.543800	+	0.108169i
$327$	9.81732			0.542899
$328$	−11.0053	+	2.18910i	−0.607668	+	0.120873i
$329$	−0.831109	+	4.17827i	−0.0458205	+	0.230355i
$330$	−6.07578	−	11.8622i	−0.334460	−	0.652991i
$331$	−0.705646	−	1.70358i	−0.0387858	−	0.0936372i	0.903300	−	0.429010i	$-0.141138\pi$
$331$	−0.705646	−	1.70358i	−0.0387858	−	0.0936372i	−0.942085	+	0.335373i	$0.891138\pi$
$332$	−2.34465	+	5.66048i	−0.128679	+	0.310659i
$333$	3.11420	+	0.619453i	0.170657	+	0.0339458i
$334$	12.4369	+	2.47386i	0.680519	+	0.135364i
$335$	6.03288	−	0.487662i	0.329611	−	0.0266438i
$336$	1.22128	−	1.22128i	0.0666263	−	0.0666263i
$337$	10.4252	+	6.96587i	0.567895	+	0.379455i	0.806118	−	0.591755i	$-0.201565\pi$
$337$	10.4252	+	6.96587i	0.567895	+	0.379455i	−0.238223	+	0.971211i	$0.576565\pi$
$338$	−7.74585	+	3.20844i	−0.421319	+	0.174516i
$339$	7.13334			0.387430
$340$	2.73071	−	8.80586i	0.148093	−	0.477565i
$341$	27.1150			1.46836
$342$	−4.36468	+	1.80791i	−0.236015	+	0.0977605i
$343$	15.5956	+	10.4206i	0.842081	+	0.562661i
$344$	−7.55600	+	7.55600i	−0.407392	+	0.407392i
$345$	5.86892	+	4.99106i	0.315972	+	0.268710i
$346$	6.98306	+	1.38902i	0.375412	+	0.0746741i
$347$	−18.0345	−	3.58728i	−0.968142	−	0.192575i	−0.314398	−	0.949291i	$-0.601803\pi$
$347$	−18.0345	−	3.58728i	−0.968142	−	0.192575i	−0.653744	+	0.756716i	$0.726803\pi$
$348$	−2.63246	+	6.35531i	−0.141114	+	0.340680i
$349$	0.302687	+	0.730751i	0.0162025	+	0.0391162i	0.931774	−	0.363040i	$-0.118261\pi$
$349$	0.302687	+	0.730751i	0.0162025	+	0.0391162i	−0.915571	+	0.402156i	$0.868261\pi$
$350$	−2.93390	−	7.85007i	−0.156824	−	0.419604i
$351$	4.59070	−	23.0790i	0.245033	−	1.23186i
$352$	−5.67293	+	1.12842i	−0.302368	+	0.0601448i
$353$	22.0327			1.17268			0.586341	−	0.810064i	$-0.300568\pi$
$353$	22.0327			1.17268			0.586341	+	0.810064i	$0.300568\pi$
$354$	−10.5896	+	2.10640i	−0.562829	+	0.111954i
$355$	8.93824	−	16.0400i	0.474392	−	0.851315i
$356$			14.4936i			0.768160i
$357$	−2.79962	−	6.54783i	−0.148172	−	0.346548i
$358$	5.76127	+	5.76127i	0.304493	+	0.304493i
$359$	10.0104	−	24.1672i	0.528328	−	1.27550i	−0.404289	−	0.914631i	$-0.632481\pi$
$359$	10.0104	−	24.1672i	0.528328	−	1.27550i	0.932618	−	0.360866i	$-0.117519\pi$
$360$	−2.80759	+	3.30140i	−0.147973	+	0.173999i
$361$	9.23366	+	9.23366i	0.485982	+	0.485982i
$362$	2.60085	+	13.0754i	0.136698	+	0.687225i
$363$	12.8557	+	19.2400i	0.674751	+	1.00984i
$364$	6.44447	−	4.30606i	0.337782	−	0.225699i
$365$	5.96366	−	10.7020i	0.312152	−	0.560169i
$366$	4.19964	−	1.73955i	0.219519	−	0.0909276i
$367$	−3.20087	+	16.0919i	−0.167084	+	0.839988i	0.802768	+	0.596292i	$0.203360\pi$
$367$	−3.20087	+	16.0919i	−0.167084	+	0.839988i	−0.969852	+	0.243696i	$0.921640\pi$
$368$	2.78006	−	1.85758i	0.144921	−	0.0968331i
$369$	12.0824	−	18.0825i	0.628983	−	0.941339i
$370$	2.27403	+	2.87205i	0.118221	+	0.149311i
$371$	1.50610	+	7.57165i	0.0781926	+	0.393101i
$372$	1.84863	+	4.46299i	0.0958470	+	0.231395i
$373$	0.608572	−	0.608572i	0.0315107	−	0.0315107i	−0.691176	−	0.722687i	$-0.742907\pi$
$373$	0.608572	−	0.608572i	0.0315107	−	0.0315107i	0.722687	+	0.691176i	$0.242907\pi$
$374$	−4.38698	+	23.4414i	−0.226846	+	1.21212i
$375$	−4.88979	−	10.4318i	−0.252507	−	0.538698i
$376$	2.34824	+	0.972672i	0.121101	+	0.0501617i
$377$	−17.1503	+	25.6672i	−0.883283	+	1.32193i
$378$			8.52891i			0.438680i
$379$	−18.3579	−	12.2664i	−0.942984	−	0.630082i	−0.0138811	−	0.999904i	$-0.504419\pi$
$379$	−18.3579	−	12.2664i	−0.942984	−	0.630082i	−0.929103	+	0.369822i	$0.879419\pi$
$380$	−5.18731	−	1.67332i	−0.266103	−	0.0858393i
$381$	−7.91251	−	11.8419i	−0.405370	−	0.606679i
$382$	16.2973	+	6.75057i	0.833844	+	0.345389i
$383$	−27.9938	−	11.5954i	−1.43041	−	0.592497i	−0.472960	−	0.881084i	$-0.656815\pi$
$383$	−27.9938	−	11.5954i	−1.43041	−	0.592497i	−0.957454	+	0.288587i	$0.906815\pi$
$384$	−0.572498	−	0.856804i	−0.0292152	−	0.0437236i
$385$	9.88241	+	19.2941i	0.503654	+	0.983320i
$386$	2.63170	+	1.75845i	0.133950	+	0.0895026i
$387$		−	20.7105i		−	1.05277i
$388$	5.30496	−	7.93943i	0.269318	−	0.403064i
$389$	28.5851	+	11.8403i	1.44932	+	0.600329i	0.962039	−	0.272914i	$-0.0879873\pi$
$389$	28.5851	+	11.8403i	1.44932	+	0.600329i	0.487285	+	0.873243i	$0.337987\pi$
$390$	8.35378	−	6.61434i	0.423010	−	0.334930i
$391$	−2.84267	−	13.4896i	−0.143760	−	0.682197i
$392$	2.96330	−	2.96330i	0.149669	−	0.149669i
$393$	0.0412375	+	0.0995562i	0.00208016	+	0.00502195i
$394$	−3.91682	−	19.6912i	−0.197327	−	0.992028i
$395$	8.05073	−	6.37439i	0.405076	−	0.320730i
$396$	6.22811	−	9.32103i	0.312975	−	0.468399i
$397$	−9.10159	+	6.08149i	−0.456796	+	0.305221i	−0.762597	−	0.646874i	$-0.776076\pi$
$397$	−9.10159	+	6.08149i	−0.456796	+	0.305221i	0.305801	+	0.952095i	$0.401076\pi$
$398$	1.11803	−	5.62073i	0.0560419	−	0.281742i
$399$	−3.88955	+	1.61110i	−0.194721	+	0.0806560i
$400$	−4.93508	+	0.803094i	−0.246754	+	0.0401547i
$401$	−12.1334	+	8.10725i	−0.605911	+	0.404857i	−0.820335	−	0.571884i	$-0.806213\pi$
$401$	−12.1334	+	8.10725i	−0.605911	+	0.404857i	0.214423	+	0.976741i	$0.431213\pi$
$402$	−1.54963	−	2.31918i	−0.0772884	−	0.115670i
$403$	4.22918	+	21.2615i	0.210671	+	1.05911i
$404$	−6.19044	−	6.19044i	−0.307986	−	0.307986i
$405$	−0.102831	−	1.27212i	−0.00510970	−	0.0632121i
$406$	4.28176	−	10.3371i	0.212500	−	0.513021i
$407$	−6.70051	−	6.70051i	−0.332132	−	0.332132i
$408$	−4.15742	+	0.876098i	−0.205823	+	0.0433733i
$409$		−	2.35457i		−	0.116426i	−0.998304	−	0.0582130i	$-0.981460\pi$
$409$		−	2.35457i		−	0.116426i	0.998304	−	0.0582130i	$-0.0185403\pi$
$410$	24.1343	−	6.86181i	1.19191	−	0.338881i
$411$	−5.84049	+	1.16175i	−0.288090	+	0.0573047i
$412$	8.80993			0.434034
$413$	17.2242	−	3.42611i	0.847547	−	0.168588i
$414$	−1.26424	+	6.35574i	−0.0621338	+	0.312368i
$415$	4.20594	−	13.0385i	0.206461	−	0.640034i
$416$	−1.76964	−	4.27229i	−0.0867637	−	0.209466i
$417$	−0.647210	+	1.56250i	−0.0316940	+	0.0765161i
$418$	13.8280	+	2.75057i	0.676352	+	0.134535i
$419$	26.7980	+	5.33045i	1.30917	+	0.260409i	0.799866	−	0.600179i	$-0.204904\pi$
$419$	26.7980	+	5.33045i	1.30917	+	0.260409i	0.509301	+	0.860589i	$0.329904\pi$
$420$	−2.50196	+	2.94202i	−0.122083	+	0.143556i
$421$	7.28333	−	7.28333i	0.354968	−	0.354968i	−0.506986	−	0.861954i	$-0.669241\pi$
$421$	7.28333	−	7.28333i	0.354968	−	0.354968i	0.861954	+	0.506986i	$0.169241\pi$
$422$	−16.0056	−	10.6946i	−0.779140	−	0.520605i
$423$	−4.55120	+	1.88517i	−0.221287	+	0.0916600i
$424$	4.60597			0.223686
$425$	−4.49970	+	20.1185i	−0.218268	+	0.975889i
$426$	−8.46207			−0.409989
$427$	−6.83082	+	2.82942i	−0.330567	+	0.136925i
$428$	10.8623	+	7.25797i	0.525050	+	0.350827i
$429$	−19.4894	+	19.4894i	−0.940958	+	0.940958i
$430$	15.4795	−	18.2021i	0.746487	−	0.877784i
$431$	16.9262	+	3.36683i	0.815307	+	0.162175i	0.585094	−	0.810966i	$-0.301058\pi$
$431$	16.9262	+	3.36683i	0.815307	+	0.162175i	0.230213	+	0.973140i	$0.426058\pi$
$432$	4.99082	+	0.992735i	0.240121	+	0.0477630i
$433$	−9.81392	+	23.6929i	−0.471627	+	1.13861i	0.491817	+	0.870699i	$0.336333\pi$
$433$	−9.81392	+	23.6929i	−0.471627	+	1.13861i	−0.963444	+	0.267910i	$0.913667\pi$
$434$	−3.00685	−	7.25917i	−0.144333	−	0.348451i
$435$	4.72222	−	14.6390i	0.226413	−	0.701885i
$436$	−1.85863	+	9.34398i	−0.0890124	+	0.447495i
$437$	−7.99347	+	1.59000i	−0.382380	+	0.0760601i
$438$	−5.64596			−0.269774
$439$	34.5319	−	6.86883i	1.64812	−	0.327831i	0.718268	−	0.695767i	$-0.244935\pi$
$439$	34.5319	−	6.86883i	1.64812	−	0.327831i	0.929851	+	0.367936i	$0.119935\pi$
$440$	12.4405	−	3.53707i	0.593079	−	0.168623i
$441$			8.12222i			0.386772i
$442$	−19.0652	+	0.216257i	−0.906839	+	0.0102863i
$443$	8.29543	+	8.29543i	0.394128	+	0.394128i	0.876156	−	0.482028i	$-0.160100\pi$
$443$	8.29543	+	8.29543i	0.394128	+	0.394128i	−0.482028	+	0.876156i	$0.660100\pi$
$444$	0.646046	−	1.55969i	0.0306600	−	0.0740198i
$445$	−2.61121	−	32.3034i	−0.123783	−	1.53133i
$446$	3.05212	+	3.05212i	0.144522	+	0.144522i
$447$	−2.18225	−	10.9709i	−0.103217	−	0.518907i
$448$	0.931182	+	1.39361i	0.0439942	+	0.0658420i
$449$	−2.92263	+	1.95284i	−0.137928	+	0.0921603i	−0.622620	−	0.782525i	$-0.713932\pi$
$449$	−2.92263	+	1.95284i	−0.137928	+	0.0921603i	0.484692	+	0.874685i	$0.338932\pi$
$450$	5.66276	−	7.86398i	0.266945	−	0.370712i
$451$	−59.9623	+	24.8372i	−2.82352	+	1.16954i
$452$	−1.35050	+	6.78941i	−0.0635220	+	0.319347i
$453$	7.16953	−	4.79053i	0.336854	−	0.225079i
$454$	10.9287	−	16.3559i	0.512909	−	0.767622i
$455$	−13.5876	+	10.7584i	−0.636998	+	0.504361i
$456$	0.490031	+	2.46355i	0.0229478	+	0.115366i
$457$	−13.2146	−	31.9028i	−0.618152	−	1.49235i	−0.853847	−	0.520524i	$-0.825737\pi$
$457$	−13.2146	−	31.9028i	−0.618152	−	1.49235i	0.235695	−	0.971827i	$-0.424263\pi$
$458$	−3.32980	+	3.32980i	−0.155591	+	0.155591i
$459$	11.4577	−	17.5760i	0.534800	−	0.820377i
$460$	−5.86154	+	4.64104i	−0.273296	+	0.216389i
$461$	−0.00945111	−	0.00391478i	−0.000440182	−	0.000182329i	0.382463	−	0.923971i	$-0.375076\pi$
$461$	−0.00945111	−	0.00391478i	−0.000440182	−	0.000182329i	−0.382904	+	0.923788i	$0.625076\pi$
$462$	5.55013	−	8.30636i	0.258216	−	0.386447i
$463$		−	14.9029i		−	0.692597i	−0.938124	−	0.346298i	$-0.887438\pi$
$463$		−	14.9029i		−	0.692597i	0.938124	−	0.346298i	$-0.112562\pi$
$464$	−5.55051	−	3.70873i	−0.257676	−	0.172174i
$465$	−4.92429	−	9.61405i	−0.228358	−	0.445841i
$466$	2.83528	+	4.24329i	0.131342	+	0.196567i
$467$	7.51619	+	3.11331i	0.347808	+	0.144067i	0.549747	−	0.835331i	$-0.314724\pi$
$467$	7.51619	+	3.11331i	0.347808	+	0.144067i	−0.201939	+	0.979398i	$0.564724\pi$
$468$	8.28026	+	3.42980i	0.382755	+	0.158542i
$469$	2.52051	+	3.77221i	0.116386	+	0.174184i
$470$	−5.40899	−	1.74482i	−0.249498	−	0.0804827i
$471$	4.38335	+	2.92886i	0.201974	+	0.134955i
$472$		−	10.4778i		−	0.482279i
$473$	−34.3384	+	51.3910i	−1.57888	+	2.36296i
$474$	−4.37202	−	1.81095i	−0.200814	−	0.0831797i
$475$	11.8629	+	2.79492i	0.544309	+	0.128240i
$476$	6.76216	−	1.42500i	0.309943	−	0.0653145i
$477$	−6.31233	+	6.31233i	−0.289022	+	0.289022i
$478$	1.00224	+	2.41962i	0.0458413	+	0.110671i
$479$	6.31687	+	31.7570i	0.288625	+	1.45102i	0.804296	+	0.594229i	$0.202543\pi$
$479$	6.31687	+	31.7570i	0.288625	+	1.45102i	−0.515671	+	0.856787i	$0.672457\pi$
$480$	1.43035	+	1.80650i	0.0652861	+	0.0824550i
$481$	4.20894	−	6.29913i	0.191911	−	0.287215i
$482$	−3.34041	+	2.23199i	−0.152151	+	0.101664i
$483$	−1.12661	+	5.66387i	−0.0512627	+	0.257715i
$484$	−20.7462	+	8.59335i	−0.943008	+	0.390607i
$485$	−10.3933	+	18.6511i	−0.471935	+	0.846905i
$486$	−13.1821	+	8.80797i	−0.597951	+	0.399538i
$487$	−13.4875	−	20.1855i	−0.611177	−	0.914691i	0.388801	−	0.921322i	$-0.372889\pi$
$487$	−13.4875	−	20.1855i	−0.611177	−	0.914691i	−0.999978	+	0.00663048i	$0.997889\pi$
$488$	0.860592	+	4.32649i	0.0389572	+	0.195851i
$489$	−7.29448	−	7.29448i	−0.329868	−	0.329868i
$490$	−6.07073	+	7.13848i	−0.274247	+	0.322484i
$491$	−8.98813	+	21.6993i	−0.405629	+	0.979274i	0.580645	+	0.814157i	$0.302800\pi$
$491$	−8.98813	+	21.6993i	−0.405629	+	0.979274i	−0.986274	+	0.165118i	$0.947200\pi$
$492$	−8.17616	−	8.17616i	−0.368610	−	0.368610i
$493$	−22.7104	+	15.5501i	−1.02283	+	0.700341i
$494$			11.2719i			0.507148i
$495$	−12.2019	+	21.8968i	−0.548435	+	0.984187i
$496$	−4.59779	+	0.914558i	−0.206447	+	0.0410649i
$497$	13.7638			0.617390
$498$	−6.19222	+	1.23171i	−0.277480	+	0.0551942i
$499$	2.34595	−	11.7939i	0.105019	−	0.527967i	−0.892081	−	0.451875i	$-0.850755\pi$
$499$	2.34595	−	11.7939i	0.105019	−	0.527967i	0.997101	−	0.0760929i	$-0.0242445\pi$
$500$	10.8546	−	2.67905i	0.485433	−	0.119811i
$501$	5.00051	+	12.0723i	0.223406	+	0.539351i
$502$	4.12011	−	9.94682i	0.183889	−	0.443948i
$503$	−22.9711	−	4.56923i	−1.02423	−	0.203732i	−0.345731	−	0.938334i	$-0.612369\pi$
$503$	−22.9711	−	4.56923i	−1.02423	−	0.203732i	−0.678499	+	0.734601i	$0.737369\pi$
$504$	−3.18606	−	0.633746i	−0.141918	−	0.0282293i
$505$	14.9125	+	12.6820i	0.663599	+	0.564340i
$506$	13.6750	−	13.6750i	0.607928	−	0.607928i
$507$	−7.18349	−	4.79985i	−0.319030	−	0.213169i
$508$	12.7690	−	5.28908i	0.566531	−	0.234665i
$509$	−34.4909			−1.52878			−0.764392	−	0.644752i	$-0.776961\pi$
$509$	−34.4909			−1.52878			−0.764392	+	0.644752i	$0.776961\pi$
$510$	9.10822	−	2.70166i	0.403319	−	0.119631i
$511$	9.18329			0.406245
$512$	0.923880	−	0.382683i	0.0408301	−	0.0169124i
$513$	−10.3133	−	6.89112i	−0.455343	−	0.304250i
$514$	−0.468052	+	0.468052i	−0.0206449	+	0.0206449i
$515$	−19.6355	+	1.58722i	−0.865246	+	0.0699414i
$516$	−10.7998	−	2.14821i	−0.475435	−	0.0945699i
$517$	14.4190	+	2.86811i	0.634146	+	0.126139i
$518$	−1.05081	+	2.53688i	−0.0461700	+	0.111464i
$519$	2.80767	+	6.77832i	0.123243	+	0.297535i
$520$	4.71388	+	9.20324i	0.206717	+	0.403589i
$521$	6.54790	−	32.9185i	0.286869	−	1.44219i	−0.521369	−	0.853331i	$-0.674578\pi$
$521$	6.54790	−	32.9185i	0.286869	−	1.44219i	0.808238	−	0.588856i	$-0.200422\pi$
$522$	12.6895	−	2.52410i	0.555404	−	0.110477i
$523$	−18.1579			−0.793991			−0.396996	−	0.917820i	$-0.629947\pi$
$523$	−18.1579			−0.793991			−0.396996	+	0.917820i	$0.629947\pi$
$524$	−0.102563	+	0.0204011i	−0.00448050	+	0.000891227i
$525$	5.04632	−	7.00793i	0.220239	−	0.305851i
$526$			25.7844i			1.12425i
$527$	−3.55556	+	18.9987i	−0.154883	+	0.827598i
$528$	−4.21457	−	4.21457i	−0.183416	−	0.183416i
$529$	4.52356	−	10.9208i	0.196677	−	0.474819i
$530$	−10.2658	+	0.829825i	−0.445917	+	0.0360453i
$531$	14.3595	+	14.3595i	0.623147	+	0.623147i
$532$	−0.797048	−	4.00703i	−0.0345564	−	0.173727i
$533$	−28.8279	−	43.1440i	−1.24868	−	1.86878i
$534$	−12.4182	+	8.29757i	−0.537387	+	0.359071i
$535$	−25.5175	−	14.2196i	−1.10322	−	0.614765i
$536$	2.50074	−	1.03584i	0.108016	−	0.0447416i
$537$	−1.63796	+	8.23460i	−0.0706833	+	0.355349i
$538$	23.0032	−	15.3703i	0.991740	−	0.662659i
$539$	13.4668	−	20.1545i	0.580055	−	0.868114i
$540$	−11.3024	−	1.31345i	−0.486377	−	0.0565217i
$541$	1.43320	+	7.20520i	0.0616182	+	0.309776i	0.999287	−	0.0377544i	$-0.0120205\pi$
$541$	1.43320	+	7.20520i	0.0616182	+	0.309776i	−0.937669	+	0.347530i	$0.887020\pi$
$542$	0.443848	+	1.07154i	0.0190649	+	0.0460268i
$543$	−9.71403	+	9.71403i	−0.416869	+	0.416869i
$544$	−0.0467655	−	4.12284i	−0.00200505	−	0.176765i
$545$	2.45908	−	21.1607i	0.105335	−	0.906425i
$546$	7.37889	+	3.05644i	0.315787	+	0.130803i
$547$	−16.2036	+	24.2504i	−0.692815	+	1.03687i	0.303643	+	0.952786i	$0.401797\pi$
$547$	−16.2036	+	24.2504i	−0.692815	+	1.03687i	−0.996459	+	0.0840855i	$0.973203\pi$
$548$		−	5.77884i		−	0.246860i
$549$	−7.10873	−	4.74990i	−0.303393	−	0.202721i
$550$	−27.0902	+	10.1247i	−1.15513	+	0.431720i
$551$	9.04021	+	13.5296i	0.385126	+	0.576382i
$552$	3.18316	+	1.31851i	0.135484	+	0.0561195i
$553$	7.11121	+	2.94556i	0.302399	+	0.125258i
$554$	−12.2040	−	18.2646i	−0.518498	−	0.775988i
$555$	−1.15891	+	3.59263i	−0.0491929	+	0.152499i
$556$	−1.36464	−	0.911821i	−0.0578735	−	0.0386698i
$557$		−	7.32927i		−	0.310551i	−0.987871	−	0.155275i	$-0.950373\pi$
$557$		−	7.32927i		−	0.310551i	0.987871	−	0.155275i	$-0.0496265\pi$
$558$	5.04776	−	7.55450i	0.213689	−	0.319808i
$559$	−45.6528	−	18.9100i	−1.93091	−	0.799808i
$560$	−2.32649	−	2.93832i	−0.0983124	−	0.124167i
$561$	−22.5962	+	9.66135i	−0.954012	+	0.407903i
$562$	−22.4729	+	22.4729i	−0.947962	+	0.947962i
$563$	11.8556	+	28.6219i	0.499653	+	1.20627i	0.949671	+	0.313249i	$0.101417\pi$
$563$	11.8556	+	28.6219i	0.499653	+	1.20627i	−0.450018	+	0.893019i	$0.648583\pi$
$564$	0.510972	+	2.56883i	0.0215158	+	0.108167i
$565$	1.78679	−	15.3755i	0.0751706	−	0.646853i
$566$	10.6808	−	15.9849i	0.448947	−	0.671897i
$567$	0.795425	−	0.531486i	0.0334047	−	0.0223203i
$568$	1.60206	−	8.05408i	0.0672208	−	0.337942i
$569$	25.5509	−	10.5835i	1.07115	−	0.443684i	0.223752	−	0.974646i	$-0.428169\pi$
$569$	25.5509	−	10.5835i	1.07115	−	0.443684i	0.847396	+	0.530962i	$0.178169\pi$
$570$	−1.53602	−	5.40248i	−0.0643369	−	0.226285i
$571$	19.2218	−	12.8436i	0.804406	−	0.537487i	−0.0840429	−	0.996462i	$-0.526783\pi$
$571$	19.2218	−	12.8436i	0.804406	−	0.537487i	0.888449	+	0.458975i	$0.151783\pi$
$572$	−14.8600	−	22.2395i	−0.621326	−	0.929881i
$573$	3.54627	+	17.8283i	0.148147	+	0.744788i
$574$	13.2987	+	13.2987i	0.555078	+	0.555078i
$575$	12.2280	−	11.4000i	0.509944	−	0.475411i
$576$	−0.741692	+	1.79060i	−0.0309038	+	0.0746084i
$577$	24.6305	+	24.6305i	1.02538	+	1.02538i	0.999669	+	0.0257102i	$0.00818472\pi$
$577$	24.6305	+	24.6305i	1.02538	+	1.02538i	0.0257102	+	0.999669i	$0.491815\pi$
$578$	−15.8495	−	6.14768i	−0.659251	−	0.255710i
$579$			3.26156i			0.135546i
$580$	13.0391	+	7.26602i	0.541421	+	0.301705i
$581$	10.0718	−	2.00341i	0.417849	−	0.0831153i
$582$	9.83961			0.407865
$583$	26.1294	−	5.19745i	1.08217	−	0.215256i
$584$	1.06890	−	5.37374i	0.0442315	−	0.222367i
$585$	−19.0730	−	6.15253i	−0.788570	−	0.254376i
$586$	−0.183904	−	0.443983i	−0.00759700	−	0.0183408i
$587$	−4.24371	+	10.2452i	−0.175157	+	0.422866i	−0.986939	−	0.161095i	$-0.948498\pi$
$587$	−4.24371	+	10.2452i	−0.175157	+	0.422866i	0.811782	+	0.583960i	$0.198498\pi$
$588$	4.23545	+	0.842484i	0.174667	+	0.0347434i
$589$	11.2073	+	2.22928i	0.461791	+	0.0918558i
$590$	1.88771	+	23.3529i	0.0777157	+	0.961422i
$591$	14.6291	−	14.6291i	0.601761	−	0.601761i
$592$	1.36218	+	0.910181i	0.0559854	+	0.0374082i
$593$	42.6843	−	17.6804i	1.75283	−	0.726048i	0.755338	−	0.655336i	$-0.227473\pi$
$593$	42.6843	−	17.6804i	1.75283	−	0.726048i	0.997497	−	0.0707122i	$-0.0225272\pi$
$594$	29.4328			1.20764
$595$	−14.8148	+	4.39432i	−0.607346	+	0.180149i
$596$	10.8551			0.444643
$597$	5.45593	−	2.25992i	0.223296	−	0.0924923i
$598$	12.8558	+	8.58999i	0.525714	+	0.351271i
$599$	−29.0498	+	29.0498i	−1.18694	+	1.18694i	−0.209035	+	0.977908i	$0.567032\pi$
$599$	−29.0498	+	29.0498i	−1.18694	+	1.18694i	−0.977908	+	0.209035i	$0.932968\pi$
$600$	−3.51342	−	3.76863i	−0.143435	−	0.153854i
$601$	−13.6083	−	2.70685i	−0.555093	−	0.110415i	−0.0904304	−	0.995903i	$-0.528824\pi$
$601$	−13.6083	−	2.70685i	−0.555093	−	0.110415i	−0.464662	+	0.885488i	$0.653824\pi$
$602$	17.5662	+	3.49413i	0.715943	+	0.142410i
$603$	−2.00760	+	4.84678i	−0.0817558	+	0.197376i
$604$	3.20221	+	7.73081i	0.130296	+	0.314562i
$605$	44.6908	−	22.8905i	1.81694	−	0.930633i
$606$	1.75998	−	8.84801i	0.0714942	−	0.359426i
$607$	−25.1950	+	5.01159i	−1.02263	+	0.203414i	−0.677797	−	0.735249i	$-0.737065\pi$
$607$	−25.1950	+	5.01159i	−1.02263	+	0.203414i	−0.344835	+	0.938663i	$0.612065\pi$
$608$	−2.43755			−0.0988556
$609$	11.3081	−	2.24933i	0.458229	−	0.0911474i
$610$	−2.69756	−	9.48783i	−0.109221	−	0.384151i
$611$			11.7536i			0.475501i
$612$	5.71431	+	5.58613i	0.230987	+	0.225806i
$613$	−14.4308	−	14.4308i	−0.582856	−	0.582856i	0.352831	−	0.935687i	$-0.385219\pi$
$613$	−14.4308	−	14.4308i	−0.582856	−	0.582856i	−0.935687	+	0.352831i	$0.885219\pi$
$614$	−5.71580	+	13.7992i	−0.230671	+	0.556889i
$615$	19.6960	+	16.7500i	0.794221	+	0.675424i
$616$	6.85511	+	6.85511i	0.276200	+	0.276200i
$617$	−3.04210	−	15.2937i	−0.122470	−	0.615699i	−0.992454	−	0.122619i	$-0.960871\pi$
$617$	−3.04210	−	15.2937i	−0.122470	−	0.615699i	0.869984	−	0.493081i	$-0.164129\pi$
$618$	5.04366	+	7.54838i	0.202886	+	0.303640i
$619$	−10.5371	+	7.04064i	−0.423520	+	0.282987i	−0.749010	−	0.662558i	$-0.769471\pi$
$619$	−10.5371	+	7.04064i	−0.423520	+	0.282987i	0.325490	+	0.945545i	$0.394471\pi$
$620$	10.0828	−	2.86672i	0.404934	−	0.115130i
$621$	−15.7189	+	6.51097i	−0.630777	+	0.261276i
$622$	3.15661	−	15.8694i	0.126569	−	0.636303i
$623$	20.1985	−	13.4962i	0.809236	−	0.540714i
$624$	2.64740	−	3.96211i	0.105981	−	0.158611i
$625$	−23.7101	+	7.92667i	−0.948403	+	0.317067i
$626$	−0.858633	−	4.31664i	−0.0343179	−	0.172528i
$627$	5.55983	+	13.4226i	0.222038	+	0.536048i
$628$	−3.61751	+	3.61751i	−0.144354	+	0.144354i
$629$	5.57350	−	3.81624i	0.222230	−	0.152163i
$630$	7.21525	+	0.838483i	0.287463	+	0.0334060i
$631$	14.5366	+	6.02127i	0.578694	+	0.239703i	0.652778	−	0.757549i	$-0.273603\pi$
$631$	14.5366	+	6.02127i	0.578694	+	0.239703i	−0.0740843	+	0.997252i	$0.523603\pi$
$632$	2.55136	−	3.81838i	0.101488	−	0.151887i
$633$		−	19.8363i		−	0.788422i
$634$	26.6975	+	17.8387i	1.06029	+	0.708465i
$635$	−27.5065	+	14.0888i	−1.09156	+	0.559096i
$636$	2.63691	+	3.94641i	0.104560	+	0.156485i
$637$	17.9041	+	7.41610i	0.709384	+	0.293837i
$638$	−35.6727	−	14.7761i	−1.41230	−	0.584992i
$639$	8.84229	+	13.2334i	0.349795	+	0.523506i
$640$	−1.99020	+	1.01937i	−0.0786694	+	0.0402943i
$641$	−16.6671	−	11.1366i	−0.658310	−	0.439869i	0.181029	−	0.983478i	$-0.442057\pi$
$641$	−16.6671	−	11.1366i	−0.658310	−	0.439869i	−0.839338	+	0.543609i	$0.817057\pi$
$642$			13.4620i			0.531305i
$643$	16.1042	−	24.1017i	0.635089	−	0.950477i	−0.364724	−	0.931116i	$-0.618837\pi$
$643$	16.1042	−	24.1017i	0.635089	−	0.950477i	0.999813	−	0.0193615i	$-0.00616334\pi$
$644$	−5.17749	−	2.14459i	−0.204022	−	0.0845086i
$645$	24.4576	+	2.84221i	0.963018	+	0.111912i
$646$	−3.74051	+	9.32826i	−0.147168	+	0.367015i
$647$	0.105698	−	0.105698i	0.00415541	−	0.00415541i	−0.705026	−	0.709181i	$-0.749065\pi$
$647$	0.105698	−	0.105698i	0.00415541	−	0.00415541i	0.709181	+	0.705026i	$0.249065\pi$
$648$	−0.218422	−	0.527318i	−0.00858044	−	0.0207150i
$649$	−11.8233	−	59.4398i	−0.464105	−	2.33321i
$650$	−12.1644	−	19.6629i	−0.477125	−	0.771242i
$651$	4.49827	−	6.73213i	0.176301	−	0.263853i
$652$	8.32378	−	5.56177i	0.325984	−	0.217816i
$653$	6.59498	−	33.1552i	0.258082	−	1.29746i	−0.606545	−	0.795049i	$-0.707445\pi$
$653$	6.59498	−	33.1552i	0.258082	−	1.29746i	0.864627	−	0.502415i	$-0.167555\pi$
$654$	−9.07002	+	3.75692i	−0.354666	+	0.146907i
$655$	0.224917	−	0.0639481i	0.00878825	−	0.00249866i
$656$	9.32987	−	6.23402i	0.364270	−	0.243398i
$657$	5.89964	+	8.82943i	0.230167	+	0.344469i
$658$	−0.831109	−	4.17827i	−0.0324000	−	0.162886i
$659$	33.1839	+	33.1839i	1.29266	+	1.29266i	0.933134	+	0.359529i	$0.117063\pi$
$659$	33.1839	+	33.1839i	1.29266	+	1.29266i	0.359529	+	0.933134i	$0.382937\pi$
$660$	10.1527	+	8.63412i	0.395195	+	0.336083i
$661$	5.69800	−	13.7562i	0.221626	−	0.535054i	−0.773485	−	0.633815i	$-0.781488\pi$
$661$	5.69800	−	13.7562i	0.221626	−	0.535054i	0.995111	+	0.0987614i	$0.0314881\pi$
$662$	1.30386	+	1.30386i	0.0506761	+	0.0506761i
$663$	−11.1001	−	16.2113i	−0.431091	−	0.629596i
$664$		−	6.12686i		−	0.237768i
$665$	2.49838	+	8.78727i	0.0968829	+	0.340756i
$666$	−3.11420	+	0.619453i	−0.120673	+	0.0240033i
$667$	22.3201			0.864236
$668$	−12.4369	+	2.47386i	−0.481200	+	0.0957166i
$669$	−0.867735	+	4.36240i	−0.0335486	+	0.168660i
$670$	−5.38703	+	2.75922i	−0.208119	+	0.106598i
$671$	9.76417	+	23.5728i	0.376941	+	0.910017i
$672$	−0.660953	+	1.59568i	−0.0254968	+	0.0615547i
$673$	21.2609	+	4.22906i	0.819547	+	0.163018i	0.587021	−	0.809572i	$-0.300301\pi$
$673$	21.2609	+	4.22906i	0.819547	+	0.163018i	0.232527	+	0.972590i	$0.425301\pi$
$674$	−12.2973	−	2.44609i	−0.473675	−	0.0942198i
$675$	25.4274	+	0.891137i	0.978699	+	0.0342999i
$676$	5.92842	−	5.92842i	0.228016	−	0.228016i
$677$	14.5209	+	9.70254i	0.558083	+	0.372899i	0.802391	−	0.596799i	$-0.203561\pi$
$677$	14.5209	+	9.70254i	0.558083	+	0.372899i	−0.244308	+	0.969698i	$0.578561\pi$
$678$	−6.59034	+	2.72981i	−0.253101	+	0.104838i
$679$	−16.0044			−0.614192
$680$	0.847014	+	9.18055i	0.0324815	+	0.352058i
$681$	20.2705			0.776766
$682$	−25.0510	+	10.3765i	−0.959252	+	0.397335i
$683$	3.92593	+	2.62322i	0.150222	+	0.100375i	0.628410	−	0.777883i	$-0.283706\pi$
$683$	3.92593	+	2.62322i	0.150222	+	0.100375i	−0.478188	+	0.878258i	$0.658706\pi$
$684$	3.34058	−	3.34058i	0.127730	−	0.127730i
$685$	1.04113	+	12.8799i	0.0397796	+	0.492114i
$686$	−18.3962	−	3.65924i	−0.702371	−	0.139710i
$687$	−4.75929	−	0.946682i	−0.181578	−	0.0361182i
$688$	4.08928	−	9.87239i	0.155902	−	0.376381i
$689$	8.15090	+	19.6780i	0.310525	+	0.749673i
$690$	−7.33217	−	2.36520i	−0.279131	−	0.0900417i
$691$	4.41342	−	22.1878i	0.167894	−	0.844062i	−0.801394	−	0.598136i	$-0.795908\pi$
$691$	4.41342	−	22.1878i	0.167894	−	0.844062i	0.969289	−	0.245926i	$-0.0790919\pi$
$692$	−6.98306	+	1.38902i	−0.265456	+	0.0528025i
$693$	−18.7894			−0.713751
$694$	18.0345	−	3.58728i	0.684580	−	0.136171i
$695$	3.20578	+	1.78641i	0.121602	+	0.0677623i
$696$		−	6.87894i		−	0.260746i
$697$	−9.53997	−	45.2709i	−0.361352	−	1.71476i
$698$	−0.559293	−	0.559293i	−0.0211695	−	0.0211695i
$699$	−2.01248	+	4.85855i	−0.0761189	+	0.183767i
$700$	5.71466	+	6.12977i	0.215994	+	0.231683i
$701$	34.8429	+	34.8429i	1.31600	+	1.31600i	0.916916	+	0.399081i	$0.130671\pi$
$701$	34.8429	+	34.8429i	1.31600	+	1.31600i	0.399081	+	0.916916i	$0.369329\pi$
$702$	4.59070	+	23.0790i	0.173265	+	0.871060i
$703$	−2.21861	−	3.32038i	−0.0836765	−	0.125231i
$704$	4.80928	−	3.21346i	0.181257	−	0.121112i
$705$	−1.60166	−	5.63335i	−0.0603221	−	0.212164i
$706$	−20.3556	+	8.43155i	−0.766092	+	0.317326i
$707$	−2.86265	+	14.3915i	−0.107661	+	0.541249i
$708$	8.97740	−	5.99851i	0.337391	−	0.225438i
$709$	−2.53326	+	3.79130i	−0.0951387	+	0.142385i	−0.875986	−	0.482337i	$-0.839788\pi$
$709$	−2.53326	+	3.79130i	−0.0951387	+	0.142385i	0.780847	+	0.624723i	$0.214788\pi$
$710$	−2.11961	+	18.2395i	−0.0795476	+	0.684518i
$711$	1.73641	+	8.72951i	0.0651204	+	0.327382i
$712$	−5.54647	−	13.3904i	−0.207863	−	0.501825i
$713$	11.0833	−	11.0833i	0.415073	−	0.415073i
$714$	5.09226	+	4.97803i	0.190573	+	0.186298i
$715$	37.1266	+	46.8902i	1.38846	+	1.75359i
$716$	−7.52747	−	3.11798i	−0.281315	−	0.116524i
$717$	−1.49936	+	2.24395i	−0.0559945	+	0.0838017i
$718$			26.1584i			0.976223i
$719$	22.7552	+	15.2046i	0.848627	+	0.567034i	0.902096	−	0.431535i	$-0.142028\pi$
$719$	22.7552	+	15.2046i	0.848627	+	0.567034i	−0.0534694	+	0.998569i	$0.517028\pi$
$720$	1.33048	−	4.12452i	0.0495841	−	0.153712i
$721$	−8.20365	−	12.2776i	−0.305520	−	0.457243i
$722$	−12.0644	−	4.99722i	−0.448989	−	0.185977i
$723$	−3.82475	−	1.58426i	−0.142244	−	0.0589194i
$724$	−7.40659	−	11.0848i	−0.275264	−	0.411962i
$725$	−30.3707	−	13.8453i	−1.12794	−	0.514203i
$726$	−19.2400	−	12.8557i	−0.714062	−	0.477121i
$727$		−	44.6488i		−	1.65593i	−0.560777	−	0.827967i	$-0.689498\pi$
$727$		−	44.6488i		−	1.65593i	0.560777	−	0.827967i	$-0.310502\pi$
$728$	−4.30606	+	6.44447i	−0.159593	+	0.238848i
$729$	−13.5115	−	5.59663i	−0.500424	−	0.207282i
$730$	−1.41422	+	12.1696i	−0.0523427	+	0.450416i
$731$	−31.5056	−	30.7988i	−1.16527	−	1.13914i
$732$	−3.21426	+	3.21426i	−0.118803	+	0.118803i
$733$	9.02065	+	21.7778i	0.333185	+	0.804381i	0.998336	+	0.0576712i	$0.0183675\pi$
$733$	9.02065	+	21.7778i	0.333185	+	0.804381i	−0.665150	+	0.746710i	$0.731632\pi$
$734$	−3.20087	−	16.0919i	−0.118146	−	0.593961i
$735$	−9.59175	−	1.11466i	−0.353797	−	0.0411147i
$736$	−1.85758	+	2.78006i	−0.0684713	+	0.102475i
$737$	13.0177	−	8.69814i	0.479513	−	0.320400i
$738$	−4.24276	+	21.3298i	−0.156178	+	0.785161i
$739$	−25.2821	+	10.4722i	−0.930017	+	0.385226i	−0.795685	−	0.605711i	$-0.792889\pi$
$739$	−25.2821	+	10.4722i	−0.930017	+	0.385226i	−0.134332	+	0.990936i	$0.542889\pi$
$740$	−3.20001	−	1.78320i	−0.117635	−	0.0655516i
$741$	−9.65782	+	6.45315i	−0.354789	+	0.237062i
$742$	−4.28900	−	6.41894i	−0.157454	−	0.235647i
$743$	−3.46972	−	17.4435i	−0.127292	−	0.639939i	−0.990770	−	0.135553i	$-0.956719\pi$
$743$	−3.46972	−	17.4435i	−0.127292	−	0.639939i	0.863478	−	0.504386i	$-0.168281\pi$
$744$	−3.41582	−	3.41582i	−0.125230	−	0.125230i
$745$	−24.1939	+	1.95569i	−0.886394	+	0.0716509i
$746$	−0.329357	+	0.795138i	−0.0120586	+	0.0291121i
$747$	8.39666	+	8.39666i	0.307218	+	0.307218i
$748$	−4.91758	−	23.3358i	−0.179805	−	0.853242i
$749$		−	21.8964i		−	0.800076i
$750$	8.50967	+	7.76652i	0.310729	+	0.283593i
$751$	−17.2734	+	3.43589i	−0.630314	+	0.125377i	−0.499901	−	0.866082i	$-0.666630\pi$
$751$	−17.2734	+	3.43589i	−0.630314	+	0.125377i	−0.130413	+	0.991460i	$0.541630\pi$
$752$	−2.54171			−0.0926868
$753$	10.8812	−	2.16441i	0.396534	−	0.0788754i
$754$	6.02237	−	30.2765i	0.219322	−	1.10260i
$755$	−8.52988	−	16.6535i	−0.310434	−	0.606083i
$756$	−3.26387	−	7.87968i	−0.118706	−	0.286581i
$757$	−0.217531	+	0.525165i	−0.00790628	+	0.0190875i	−0.927783	−	0.373119i	$-0.878288\pi$
$757$	−0.217531	+	0.525165i	−0.00790628	+	0.0190875i	0.919877	+	0.392207i	$0.128288\pi$
$758$	21.6547	+	4.30738i	0.786533	+	0.156451i
$759$	19.5457	+	3.88788i	0.709464	+	0.141121i
$760$	5.43280	−	0.439156i	0.197068	−	0.0159298i
$761$	−6.97045	+	6.97045i	−0.252679	+	0.252679i	−0.822068	−	0.569389i	$-0.807180\pi$
$761$	−6.97045	+	6.97045i	−0.252679	+	0.252679i	0.569389	+	0.822068i	$0.307180\pi$
$762$	11.8419	+	7.91251i	0.428987	+	0.286640i
$763$	14.7526	−	6.11073i	0.534080	−	0.221223i
$764$	−17.6401			−0.638196
$765$	−13.7425	−	11.4208i	−0.496860	−	0.412922i
$766$	30.3002			1.09479
$767$	44.7641	−	18.5419i	1.61634	−	0.669509i
$768$	0.856804	+	0.572498i	0.0309172	+	0.0206582i
$769$	−36.4693	+	36.4693i	−1.31512	+	1.31512i	−0.397525	+	0.917591i	$0.630131\pi$
$769$	−36.4693	+	36.4693i	−1.31512	+	1.31512i	−0.917591	+	0.397525i	$0.869869\pi$
$770$	−16.5137	−	14.0436i	−0.595112	−	0.506097i
$771$	−0.668987	−	0.133070i	−0.0240930	−	0.00479239i
$772$	−3.10430	−	0.617484i	−0.111726	−	0.0222238i
$773$	1.92767	−	4.65381i	0.0693336	−	0.167386i	−0.885414	−	0.464803i	$-0.846125\pi$
$773$	1.92767	−	4.65381i	0.0693336	−	0.167386i	0.954748	+	0.297417i	$0.0961251\pi$
$774$	7.92557	+	19.1340i	0.284879	+	0.687758i
$775$	−21.9560	+	8.20588i	−0.788684	+	0.294764i
$776$	−1.86285	+	9.36520i	−0.0668726	+	0.336191i
$777$	−2.77519	+	0.552021i	−0.0995596	+	0.0198036i
$778$	−30.9403			−1.10926
$779$	−26.8260	+	5.33603i	−0.961142	+	0.191183i
$780$	−5.18669	+	9.30770i	−0.185713	+	0.333269i
$781$		−	47.4980i		−	1.69961i
$782$	7.78852	+	11.3749i	0.278517	+	0.406765i
$783$	24.0198	+	24.0198i	0.858398	+	0.858398i
$784$	−1.60373	+	3.87174i	−0.0572760	+	0.138276i
$785$	7.41096	−	8.71444i	0.264508	−	0.311032i
$786$	−0.0761970	−	0.0761970i	−0.00271786	−	0.00271786i
$787$	−1.02127	−	5.13427i	−0.0364043	−	0.183017i	0.958305	−	0.285748i	$-0.0922420\pi$
$787$	−1.02127	−	5.13427i	−0.0364043	−	0.183017i	−0.994709	+	0.102731i	$0.967242\pi$
$788$	11.1542	+	16.6934i	0.397351	+	0.594677i
$789$	−22.0921	+	14.7615i	−0.786501	+	0.525523i
$790$	−4.99853	+	8.97005i	−0.177840	+	0.319140i
$791$	10.7194	−	4.44011i	0.381137	−	0.157872i
$792$	−2.18702	+	10.9949i	−0.0777125	+	0.390687i
$793$	−16.9611	+	11.3330i	−0.602305	+	0.402447i
$794$	6.08149	−	9.10159i	0.215824	−	0.323003i
$795$	−6.58813	−	8.32068i	−0.233657	−	0.295104i
$796$	1.11803	+	5.62073i	0.0396276	+	0.199221i
$797$	8.71279	+	21.0345i	0.308623	+	0.745081i	0.999750	+	0.0223483i	$0.00711427\pi$
$797$	8.71279	+	21.0345i	0.308623	+	0.745081i	−0.691128	+	0.722733i	$0.742886\pi$
$798$	2.97693	−	2.97693i	0.105382	−	0.105382i
$799$	−3.90035	+	9.72690i	−0.137985	+	0.344113i
$800$	4.25209	−	2.63054i	0.150334	−	0.0930035i
$801$	25.9523	+	10.7498i	0.916980	+	0.379825i
$802$	8.10725	−	12.1334i	0.286277	−	0.428444i
$803$		−	31.6910i		−	1.11835i
$804$	2.31918	+	1.54963i	0.0817913	+	0.0546512i
$805$	11.9260	+	3.84706i	0.420335	+	0.135591i
$806$	−12.0437	−	18.0247i	−0.424221	−	0.634892i
$807$	26.3386	+	10.9098i	0.927163	+	0.384043i
$808$	8.08820	+	3.35024i	0.284542	+	0.117861i
$809$	−10.5409	−	15.7756i	−0.370598	−	0.554640i	0.598560	−	0.801078i	$-0.295740\pi$
$809$	−10.5409	−	15.7756i	−0.370598	−	0.554640i	−0.969159	+	0.246438i	$0.920740\pi$
$810$	0.581822	+	1.13593i	0.0204432	+	0.0399126i
$811$	−38.9732	−	26.0410i	−1.36853	−	0.914424i	−0.368647	−	0.929569i	$-0.620179\pi$
$811$	−38.9732	−	26.0410i	−1.36853	−	0.914424i	−0.999885	+	0.0151451i	$0.995179\pi$
$812$			11.1888i			0.392649i
$813$	−0.664001	+	0.993748i	−0.0232875	+	0.0348523i
$814$	8.75464	+	3.62629i	0.306850	+	0.127101i
$815$	−17.5500	+	13.8957i	−0.614750	+	0.486745i
$816$	3.50569	−	2.40039i	0.122724	−	0.0840303i
$817$	−18.4181	+	18.4181i	−0.644368	+	0.644368i
$818$	0.901056	+	2.17534i	0.0315047	+	0.0760590i
$819$	−2.93063	−	14.7332i	−0.102404	−	0.514821i
$820$	−19.6713	+	15.5753i	−0.686950	+	0.543912i
$821$	−15.3189	+	22.9263i	−0.534632	+	0.800133i	−0.996211	−	0.0869661i	$-0.972283\pi$
$821$	−15.3189	+	22.9263i	−0.534632	+	0.800133i	0.461580	+	0.887099i	$0.347283\pi$
$822$	4.95133	−	3.30837i	0.172697	−	0.115393i
$823$	−2.89100	+	14.5340i	−0.100774	+	0.506624i	0.897122	+	0.441783i	$0.145654\pi$
$823$	−2.89100	+	14.5340i	−0.100774	+	0.506624i	−0.997896	+	0.0648408i	$0.979346\pi$
$824$	−8.13931	+	3.37141i	−0.283546	+	0.117449i
$825$	−24.1840	−	17.4146i	−0.841978	−	0.606298i
$826$	−14.6020	+	9.75672i	−0.508067	+	0.339480i
$827$	5.34655	+	8.00167i	0.185918	+	0.278245i	0.912707	−	0.408615i	$-0.133988\pi$
$827$	5.34655	+	8.00167i	0.185918	+	0.278245i	−0.726789	+	0.686861i	$0.758988\pi$
$828$	−1.26424	−	6.35574i	−0.0439352	−	0.220877i
$829$	−17.9667	−	17.9667i	−0.624011	−	0.624011i	0.322544	−	0.946555i	$-0.395462\pi$
$829$	−17.9667	−	17.9667i	−0.624011	−	0.624011i	−0.946555	+	0.322544i	$0.895462\pi$
$830$	1.10383	+	13.6555i	0.0383146	+	0.473990i
$831$	8.66239	−	20.9129i	0.300495	−	0.725459i
$832$	3.26987	+	3.26987i	0.113362	+	0.113362i
$833$	12.3558	+	12.0786i	0.428103	+	0.418500i
$834$		−	1.69124i		−	0.0585629i
$835$	27.2737	−	7.75442i	0.943847	−	0.268353i
$836$	−13.8280	+	2.75057i	−0.478253	+	0.0951304i
$837$	23.8547			0.824538
$838$	−26.7980	+	5.33045i	−0.925720	+	0.184137i
$839$	−1.70308	+	8.56197i	−0.0587969	+	0.295592i	−0.998984	−	0.0450665i	$-0.985650\pi$
$839$	−1.70308	+	8.56197i	−0.0587969	+	0.295592i	0.940187	+	0.340659i	$0.110650\pi$
$840$	1.18565	−	3.67553i	0.0409087	−	0.126818i
$841$	−5.95566	−	14.3782i	−0.205368	−	0.495801i
$842$	−3.94171	+	9.51613i	−0.135840	+	0.327947i
$843$	−32.1206	−	6.38918i	−1.10629	−	0.220055i
$844$	18.8799	+	3.75544i	0.649873	+	0.129268i
$845$	−12.1452	+	14.2813i	−0.417807	+	0.491293i
$846$	3.48334	−	3.48334i	0.119760	−	0.119760i
$847$	31.2943	+	20.9102i	1.07528	+	0.718482i
$848$	−4.25536	+	1.76263i	−0.146130	+	0.0605289i
$849$	19.8107			0.679900
$850$	−3.54182	−	20.3090i	−0.121483	−	0.696593i
$851$	−5.47769			−0.187773
$852$	7.81793	−	3.23829i	0.267838	−	0.110942i
$853$	1.58234	+	1.05729i	0.0541784	+	0.0362009i	0.582365	−	0.812928i	$-0.302128\pi$
$853$	1.58234	+	1.05729i	0.0541784	+	0.0362009i	−0.528186	+	0.849129i	$0.677128\pi$
$854$	5.22808	−	5.22808i	0.178901	−	0.178901i
$855$	−6.84363	+	8.04733i	−0.234047	+	0.275213i
$856$	−12.8130	−	2.54866i	−0.437939	−	0.0871114i
$857$	26.3520	+	5.24173i	0.900166	+	0.179054i	0.623418	−	0.781888i	$-0.285743\pi$
$857$	26.3520	+	5.24173i	0.900166	+	0.179054i	0.276748	+	0.960943i	$0.410743\pi$
$858$	10.5476	−	25.4641i	0.360089	−	0.869331i
$859$	−3.39558	−	8.19765i	−0.115856	−	0.279700i	0.855306	−	0.518124i	$-0.173369\pi$
$859$	−3.39558	−	8.19765i	−0.115856	−	0.279700i	−0.971161	+	0.238424i	$0.923369\pi$
$860$	−7.33554	+	22.7403i	−0.250140	+	0.775438i
$861$	−3.78090	+	19.0079i	−0.128853	+	0.647787i
$862$	−16.9262	+	3.36683i	−0.576509	+	0.114675i
$863$	−25.2274			−0.858750			−0.429375	−	0.903126i	$-0.641266\pi$
$863$	−25.2274			−0.858750			−0.429375	+	0.903126i	$0.641266\pi$
$864$	−4.99082	+	0.992735i	−0.169791	+	0.0337735i
$865$	15.3136	−	4.35393i	0.520678	−	0.148038i
$866$		−	25.6450i		−	0.871453i
$867$	−3.80643	−	17.0994i	−0.129273	−	0.580727i
$868$	5.55593	+	5.55593i	0.188580	+	0.188580i
$869$	10.1650	−	24.5404i	0.344823	−	0.832476i
$870$	1.23933	+	15.3318i	0.0420172	+	0.519796i
$871$	8.85083	+	8.85083i	0.299899	+	0.299899i
$872$	−1.85863	−	9.34398i	−0.0629413	−	0.316427i
$873$	−10.2817	−	15.3877i	−0.347984	−	0.520794i
$874$	6.77654	−	4.52794i	0.229220	−	0.153160i
$875$	−13.8412	−	12.6324i	−0.467918	−	0.427055i
$876$	5.21618	−	2.16061i	0.176239	−	0.0730004i
$877$	0.972782	−	4.89051i	0.0328485	−	0.165141i	−0.960879	−	0.276968i	$-0.910670\pi$
$877$	0.972782	−	4.89051i	0.0328485	−	0.165141i	0.993728	+	0.111827i	$0.0356704\pi$
$878$	−29.2748	+	19.5608i	−0.987975	+	0.660144i
$879$	0.275122	−	0.411749i	0.00927963	−	0.0138879i
$880$	−10.1400	+	8.02861i	−0.341818	+	0.270644i
$881$	−3.49273	−	17.5592i	−0.117673	−	0.591583i	−0.993955	−	0.109785i	$-0.964984\pi$
$881$	−3.49273	−	17.5592i	−0.117673	−	0.591583i	0.876282	−	0.481798i	$-0.160016\pi$
$882$	−3.10824	−	7.50395i	−0.104660	−	0.252671i
$883$	−11.6480	+	11.6480i	−0.391987	+	0.391987i	−0.875395	−	0.483408i	$-0.839399\pi$
$883$	−11.6480	+	11.6480i	−0.391987	+	0.391987i	0.483408	+	0.875395i	$0.339399\pi$
$884$	17.5312	−	7.49573i	0.589638	−	0.252109i
$885$	−18.9281	+	14.9869i	−0.636261	+	0.503778i
$886$	−10.8385	−	4.48945i	−0.364126	−	0.150826i
$887$	9.14546	−	13.6871i	0.307074	−	0.459569i	−0.645550	−	0.763718i	$-0.723372\pi$
$887$	9.14546	−	13.6871i	0.307074	−	0.459569i	0.952625	+	0.304149i	$0.0983719\pi$
$888$			1.68820i			0.0566523i
$889$	−19.2612	−	12.8699i	−0.645999	−	0.431642i
$890$	14.7744	+	28.8451i	0.495239	+	0.966891i
$891$	−1.83413	−	2.74497i	−0.0614457	−	0.0919599i
$892$	−3.98779	−	1.65180i	−0.133521	−	0.0553062i
$893$	5.72394	+	2.37093i	0.191544	+	0.0793403i
$894$	6.21453	+	9.30070i	0.207845	+	0.311062i
$895$	17.3389	+	5.59318i	0.579577	+	0.186959i
$896$	−1.39361	−	0.931182i	−0.0465573	−	0.0311086i
$897$			15.9327i			0.531976i
$898$	1.95284	−	2.92263i	0.0651672	−	0.0975295i
$899$	−28.9120	−	11.9757i	−0.964268	−	0.399413i
$900$	−2.22229	+	9.43242i	−0.0740763	+	0.314414i
$901$	0.215400	+	18.9897i	0.00717602	+	0.632638i
$902$	45.8932	−	45.8932i	1.52808	−	1.52808i
$903$	7.06281	+	17.0511i	0.235036	+	0.567426i
$904$	−1.35050	−	6.78941i	−0.0449169	−	0.225812i
$905$	18.5049	+	23.3713i	0.615122	+	0.776888i
$906$	−4.79053	+	7.16953i	−0.159155	+	0.238192i
$907$	−36.8877	+	24.6476i	−1.22484	+	0.818409i	−0.988197	−	0.153189i	$-0.951046\pi$
$907$	−36.8877	+	24.6476i	−1.22484	+	0.818409i	−0.236639	+	0.971598i	$0.576046\pi$
$908$	−3.83764	+	19.2931i	−0.127357	+	0.640265i
$909$	−15.6760	+	6.49322i	−0.519941	+	0.215367i
$910$	8.43628	−	15.1392i	0.279660	−	0.501860i
$911$	−18.3469	+	12.2590i	−0.607860	+	0.406159i	−0.821054	−	0.570851i	$-0.806613\pi$
$911$	−18.3469	+	12.2590i	−0.607860	+	0.406159i	0.213194	+	0.977010i	$0.431613\pi$
$912$	−1.39549	−	2.08850i	−0.0462093	−	0.0691571i
$913$	−6.91365	−	34.7573i	−0.228808	−	1.15030i
$914$	24.4174	+	24.4174i	0.807655	+	0.807655i
$915$	6.58486	−	7.74304i	0.217689	−	0.255977i
$916$	1.80208	−	4.35060i	0.0595423	−	0.143748i
$917$	0.123936	+	0.123936i	0.00409274	+	0.00409274i
$918$	−3.85949	+	20.6228i	−0.127382	+	0.680653i
$919$			51.7535i			1.70719i	0.520937	+	0.853595i	$0.325583\pi$
$919$			51.7535i			1.70719i	−0.520937	+	0.853595i	$0.674417\pi$
$920$	3.63931	−	6.53087i	0.119984	−	0.215316i
$921$	−15.0954	+	3.00267i	−0.497412	+	0.0989414i
$922$	0.0102298			0.000336901
$923$	37.2444	−	7.40837i	1.22591	−	0.243849i
$924$	−1.94895	+	9.79802i	−0.0641157	+	0.322331i
$925$	7.45344	+	3.39786i	0.245068	+	0.111721i
$926$	5.70309	+	13.7685i	0.187415	+	0.452461i
$927$	6.53425	−	15.7751i	0.214613	−	0.518121i
$928$	6.54728	+	1.30233i	0.214925	+	0.0427512i
$929$	29.4582	+	5.85961i	0.966493	+	0.192247i	0.653013	−	0.757347i	$-0.273505\pi$
$929$	29.4582	+	5.85961i	0.966493	+	0.192247i	0.313481	+	0.949595i	$0.398505\pi$
$930$	8.22859	+	6.99778i	0.269826	+	0.229466i
$931$	7.22319	−	7.22319i	0.236731	−	0.236731i
$932$	−4.24329	−	2.83528i	−0.138994	−	0.0928726i
$933$	15.4041	−	6.38058i	0.504307	−	0.208891i
$934$	−8.13547			−0.266201
$935$	15.1645	+	51.1249i	0.495934	+	1.67196i
$936$	−8.96249			−0.292948
$937$	−10.4831	+	4.34223i	−0.342467	+	0.141854i	−0.547286	−	0.836945i	$-0.684339\pi$
$937$	−10.4831	+	4.34223i	−0.342467	+	0.141854i	0.204820	+	0.978800i	$0.434339\pi$
$938$	−3.77221	−	2.52051i	−0.123167	−	0.0822976i
$939$	3.20695	−	3.20695i	0.104655	−	0.104655i
$940$	5.66497	−	0.457923i	0.184771	−	0.0149358i
$941$	5.10737	+	1.01592i	0.166495	+	0.0331180i	0.277634	−	0.960687i	$-0.410450\pi$
$941$	5.10737	+	1.01592i	0.166495	+	0.0331180i	−0.111139	+	0.993805i	$0.535450\pi$
$942$	−5.17051	−	1.02848i	−0.168464	−	0.0335096i
$943$	−14.3575	+	34.6620i	−0.467543	+	1.12875i
$944$	4.00967	+	9.68021i	0.130504	+	0.315064i
$945$	8.69414	+	16.9742i	0.282820	+	0.552171i
$946$	12.0580	−	60.6198i	0.392041	−	1.97092i
$947$	−42.2326	+	8.40059i	−1.37238	+	0.272983i	−0.825581	−	0.564284i	$-0.809152\pi$
$947$	−42.2326	+	8.40059i	−1.37238	+	0.272983i	−0.546795	+	0.837266i	$0.684152\pi$
$948$	4.73224			0.153696
$949$	24.8497	−	4.94292i	0.806656	−	0.160454i
$950$	−12.0295	+	1.95758i	−0.390288	+	0.0635122i
$951$			33.0871i			1.07292i
$952$	−5.70210	+	3.90429i	−0.184806	+	0.126539i
$953$	−24.6485	−	24.6485i	−0.798443	−	0.798443i	0.184407	−	0.982850i	$-0.440963\pi$
$953$	−24.6485	−	24.6485i	−0.798443	−	0.798443i	−0.982850	+	0.184407i	$0.940963\pi$
$954$	3.41621	−	8.24746i	0.110604	−	0.267021i
$955$	39.3162	−	3.17809i	1.27224	−	0.102841i
$956$	−1.85189	−	1.85189i	−0.0598945	−	0.0598945i
$957$	−7.76231	−	39.0238i	−0.250920	−	1.26146i
$958$	−17.9889	−	26.9223i	−0.581195	−	0.869820i
$959$	−8.05347	+	5.38115i	−0.260060	+	0.173767i
$960$	−2.01279	−	1.12162i	−0.0649624	−	0.0362001i
$961$	8.33696	−	3.45328i	0.268934	−	0.111396i
$962$	−1.47798	+	7.43033i	−0.0476521	+	0.239563i
$963$	21.0526	−	14.0669i	0.678412	−	0.453300i
$964$	2.23199	−	3.34041i	0.0718876	−	0.107587i
$965$	7.03011	+	0.816968i	0.226307	+	0.0262991i
$966$	−1.12661	−	5.66387i	−0.0362482	−	0.182232i
$967$	16.5968	+	40.0683i	0.533718	+	1.28851i	0.929045	+	0.369968i	$0.120631\pi$
$967$	16.5968	+	40.0683i	0.533718	+	1.28851i	−0.395327	+	0.918540i	$0.629369\pi$
$968$	15.8784	−	15.8784i	0.510352	−	0.510352i
$969$	−10.1339	+	2.13553i	−0.325548	+	0.0686031i
$970$	2.46466	−	21.2088i	0.0791356	−	0.680972i
$971$	−38.6703	−	16.0178i	−1.24099	−	0.514034i	−0.336965	−	0.941517i	$-0.609400\pi$
$971$	−38.6703	−	16.0178i	−1.24099	−	0.514034i	−0.904023	+	0.427483i	$0.859400\pi$
$972$	8.80797	−	13.1821i	0.282516	−	0.422815i
$973$			2.75085i			0.0881881i
$974$	20.1855	+	13.4875i	0.646784	+	0.432168i
$975$	9.88317	−	21.6794i	0.316515	−	0.694298i
$976$	−2.45076	−	3.66782i	−0.0784469	−	0.117404i
$977$	22.8793	+	9.47693i	0.731975	+	0.303194i	0.717363	−	0.696699i	$-0.245349\pi$
$977$	22.8793	+	9.47693i	0.731975	+	0.303194i	0.0146115	+	0.999893i	$0.495349\pi$
$978$	9.53069	+	3.94774i	0.304758	+	0.126235i
$979$	−46.5747	−	69.7039i	−1.48853	−	2.22775i
$980$	2.87684	−	8.91826i	0.0918973	−	0.284883i
$981$	15.3528	+	10.2584i	0.490178	+	0.327526i
$982$		−	23.4871i		−	0.749504i
$983$	−14.5707	+	21.8065i	−0.464732	+	0.695521i	−0.987617	−	0.156882i	$-0.949856\pi$
$983$	−14.5707	+	21.8065i	−0.464732	+	0.695521i	0.522885	+	0.852403i	$0.324856\pi$
$984$	10.6827	+	4.42490i	0.340551	+	0.141061i
$985$	−27.8679	−	35.1966i	−0.887946	−	1.12146i
$986$	15.0309	−	23.0573i	0.478683	−	0.734295i
$987$	3.10415	−	3.10415i	0.0988061	−	0.0988061i
$988$	−4.31358	−	10.4139i	−0.137233	−	0.331310i
$989$	6.97030	+	35.0421i	0.221643	+	1.11427i
$990$	2.89356	−	24.8994i	0.0919633	−	0.791356i
$991$	2.70814	−	4.05303i	0.0860271	−	0.128749i	−0.785960	−	0.618277i	$-0.787831\pi$
$991$	2.70814	−	4.05303i	0.0860271	−	0.128749i	0.871987	+	0.489528i	$0.162831\pi$
$992$	3.89782	−	2.60444i	0.123756	−	0.0826911i
$993$	−0.370696	+	1.86361i	−0.0117637	+	0.0591400i
$994$	−12.7161	+	5.26717i	−0.403329	+	0.167064i
$995$	−3.50451	−	12.3260i	−0.111101	−	0.390762i
$996$	5.24951	−	3.50761i	0.166337	−	0.111143i
$997$	−14.6581	−	21.9375i	−0.464228	−	0.694767i	0.523311	−	0.852142i	$-0.324697\pi$
$997$	−14.6581	−	21.9375i	−0.464228	−	0.694767i	−0.987539	+	0.157375i	$0.949697\pi$
$998$	2.34595	+	11.7939i	0.0742598	+	0.373329i
$999$	−5.89484	−	5.89484i	−0.186504	−	0.186504i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.a.23.2	yes	32
5.2	odd	4		170.2.o.a.57.2	yes	32
5.3	odd	4		850.2.s.c.57.3		32
5.4	even	2		850.2.v.c.193.3		32
17.3	odd	16		170.2.o.a.3.2	✓	32
85.3	even	16		850.2.v.c.207.3		32
85.37	even	16	inner	170.2.r.a.37.2	yes	32
85.54	odd	16		850.2.s.c.343.3		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.3.2	✓	32	17.3	odd	16
170.2.o.a.57.2	yes	32	5.2	odd	4
170.2.r.a.23.2	yes	32	1.1	even	1	trivial
170.2.r.a.37.2	yes	32	85.37	even	16	inner
850.2.s.c.57.3		32	5.3	odd	4
850.2.s.c.343.3		32	85.54	odd	16
850.2.v.c.193.3		32	5.4	even	2
850.2.v.c.207.3		32	85.3	even	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.923880 + 0.382683i) q^{2} +(-0.856804 - 0.572498i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.44860 + 1.70339i) q^{5} +(1.01067 + 0.201035i) q^{6} +(-1.64388 - 0.326988i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(-0.741692 - 1.79060i) q^{9} +O(q^{10})\)	\(q+(-0.923880 + 0.382683i) q^{2} +(-0.856804 - 0.572498i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-1.44860 + 1.70339i) q^{5} +(1.01067 + 0.201035i) q^{6} +(-1.64388 - 0.326988i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(-0.741692 - 1.79060i) q^{9} +(0.686475 - 2.12809i) q^{10} +(-1.12842 + 5.67293i) q^{11} +(-1.01067 + 0.201035i) q^{12} -4.62429 q^{13} +(1.64388 - 0.326988i) q^{14} +(2.21636 - 0.630150i) q^{15} -1.00000i q^{16} +(-3.82690 - 1.53454i) q^{17} +(1.37047 + 1.37047i) q^{18} +(-0.932809 + 2.25200i) q^{19} +(0.180163 + 2.22880i) q^{20} +(1.22128 + 1.22128i) q^{21} +(-1.12842 - 5.67293i) q^{22} +(1.85758 + 2.78006i) q^{23} +(0.856804 - 0.572498i) q^{24} +(-0.803094 - 4.93508i) q^{25} +(4.27229 - 1.76964i) q^{26} +(-0.992735 + 4.99082i) q^{27} +(-1.39361 + 0.931182i) q^{28} +(3.70873 - 5.55051i) q^{29} +(-1.80650 + 1.43035i) q^{30} +(-0.914558 - 4.59779i) q^{31} +(0.382683 + 0.923880i) q^{32} +(4.21457 - 4.21457i) q^{33} +(4.12284 - 0.0467655i) q^{34} +(2.93832 - 2.32649i) q^{35} +(-1.79060 - 0.741692i) q^{36} +(-0.910181 + 1.36218i) q^{37} -2.43755i q^{38} +(3.96211 + 2.64740i) q^{39} +(-1.01937 - 1.99020i) q^{40} +(6.23402 + 9.32987i) q^{41} +(-1.59568 - 0.660953i) q^{42} +(9.87239 + 4.08928i) q^{43} +(3.21346 + 4.80928i) q^{44} +(4.12452 + 1.33048i) q^{45} +(-2.78006 - 1.85758i) q^{46} -2.54171i q^{47} +(-0.572498 + 0.856804i) q^{48} +(-3.87174 - 1.60373i) q^{49} +(2.63054 + 4.25209i) q^{50} +(2.40039 + 3.50569i) q^{51} +(-3.26987 + 3.26987i) q^{52} +(-1.76263 - 4.25536i) q^{53} +(-0.992735 - 4.99082i) q^{54} +(-8.02861 - 10.1400i) q^{55} +(0.931182 - 1.39361i) q^{56} +(2.08850 - 1.39549i) q^{57} +(-1.30233 + 6.54728i) q^{58} +(-9.68021 + 4.00967i) q^{59} +(1.12162 - 2.01279i) q^{60} +(3.66782 - 2.45076i) q^{61} +(2.60444 + 3.89782i) q^{62} +(0.633746 + 3.18606i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(6.69876 - 7.87698i) q^{65} +(-2.28091 + 5.50661i) q^{66} +(-1.91399 - 1.91399i) q^{67} +(-3.79111 + 1.62095i) q^{68} -3.44543i q^{69} +(-1.82434 + 3.27385i) q^{70} +(-8.05408 + 1.60206i) q^{71} +1.93813 q^{72} +(-5.37374 + 1.06890i) q^{73} +(0.319613 - 1.60680i) q^{74} +(-2.13723 + 4.68817i) q^{75} +(0.932809 + 2.25200i) q^{76} +(3.70996 - 8.95664i) q^{77} +(-4.67362 - 0.929642i) q^{78} +(-4.50408 - 0.895917i) q^{79} +(1.70339 + 1.44860i) q^{80} +(-0.403592 + 0.403592i) q^{81} +(-9.32987 - 6.23402i) q^{82} +(-5.66048 + 2.34465i) q^{83} +1.72715 q^{84} +(8.15759 - 4.29578i) q^{85} -10.6858 q^{86} +(-6.35531 + 2.63246i) q^{87} +(-4.80928 - 3.21346i) q^{88} +(-10.2485 + 10.2485i) q^{89} +(-4.31971 + 0.349180i) q^{90} +(7.60177 + 1.51209i) q^{91} +(3.27931 + 0.652295i) q^{92} +(-1.84863 + 4.46299i) q^{93} +(0.972672 + 2.34824i) q^{94} +(-2.48477 - 4.85120i) q^{95} +(0.201035 - 1.01067i) q^{96} +(9.36520 - 1.86285i) q^{97} +4.19074 q^{98} +(10.9949 - 2.18702i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q - 8 q^{10} - 48 q^{15} + 16 q^{18} - 24 q^{25} + 8 q^{26} + 24 q^{27} - 8 q^{28} - 8 q^{29} - 16 q^{30} - 16 q^{31} + 64 q^{33} + 24 q^{34} + 32 q^{35} - 32 q^{37} - 32 q^{39} + 16 q^{41} - 24 q^{42} - 16 q^{43} - 16 q^{44} - 24 q^{45} - 16 q^{49} - 32 q^{50} + 32 q^{51} - 16 q^{52} + 16 q^{53} + 24 q^{54} - 8 q^{55} + 8 q^{56} - 24 q^{57} - 16 q^{58} - 64 q^{59} + 40 q^{60} - 24 q^{61} - 40 q^{62} - 24 q^{63} + 32 q^{65} + 16 q^{67} + 40 q^{70} + 8 q^{71} - 16 q^{72} + 32 q^{73} + 8 q^{74} - 56 q^{75} + 24 q^{77} + 32 q^{78} + 72 q^{79} + 8 q^{80} + 48 q^{81} + 48 q^{82} + 16 q^{83} + 8 q^{85} - 64 q^{86} + 40 q^{87} + 32 q^{88} + 16 q^{89} + 24 q^{90} + 48 q^{91} + 24 q^{92} - 8 q^{93} + 8 q^{94} + 56 q^{95} - 48 q^{97} - 64 q^{99}+O(q^{100}) \) 32 * q - 8 * q^10 - 48 * q^15 + 16 * q^18 - 24 * q^25 + 8 * q^26 + 24 * q^27 - 8 * q^28 - 8 * q^29 - 16 * q^30 - 16 * q^31 + 64 * q^33 + 24 * q^34 + 32 * q^35 - 32 * q^37 - 32 * q^39 + 16 * q^41 - 24 * q^42 - 16 * q^43 - 16 * q^44 - 24 * q^45 - 16 * q^49 - 32 * q^50 + 32 * q^51 - 16 * q^52 + 16 * q^53 + 24 * q^54 - 8 * q^55 + 8 * q^56 - 24 * q^57 - 16 * q^58 - 64 * q^59 + 40 * q^60 - 24 * q^61 - 40 * q^62 - 24 * q^63 + 32 * q^65 + 16 * q^67 + 40 * q^70 + 8 * q^71 - 16 * q^72 + 32 * q^73 + 8 * q^74 - 56 * q^75 + 24 * q^77 + 32 * q^78 + 72 * q^79 + 8 * q^80 + 48 * q^81 + 48 * q^82 + 16 * q^83 + 8 * q^85 - 64 * q^86 + 40 * q^87 + 32 * q^88 + 16 * q^89 + 24 * q^90 + 48 * q^91 + 24 * q^92 - 8 * q^93 + 8 * q^94 + 56 * q^95 - 48 * q^97 - 64 * q^99

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