LMFDB - Embedded newform 170.2.o.a.3.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (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			3.2
Character	$\chi$	$=$	170.3
Dual form			170.2.o.a.57.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.382683 + 0.923880i) q^{2} +(-0.572498 - 0.856804i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.01937 - 1.99020i) q^{5} +(1.01067 - 0.201035i) q^{6} +(0.326988 + 1.64388i) q^{7} +(0.923880 - 0.382683i) q^{8} +(0.741692 - 1.79060i) q^{9} +O(q^{10})$	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.572498 - 0.856804i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.01937 - 1.99020i) q^{5} +(1.01067 - 0.201035i) q^{6} +(0.326988 + 1.64388i) q^{7} +(0.923880 - 0.382683i) q^{8} +(0.741692 - 1.79060i) q^{9} +(2.22880 - 0.180163i) q^{10} +(-1.12842 - 5.67293i) q^{11} +(-0.201035 + 1.01067i) q^{12} -4.62429i q^{13} +(-1.64388 - 0.326988i) q^{14} +(-1.12162 + 2.01279i) q^{15} +1.00000i q^{16} +(1.53454 + 3.82690i) q^{17} +(1.37047 + 1.37047i) q^{18} +(0.932809 + 2.25200i) q^{19} +(-0.686475 + 2.12809i) q^{20} +(1.22128 - 1.22128i) q^{21} +(5.67293 + 1.12842i) q^{22} +(2.78006 + 1.85758i) q^{23} +(-0.856804 - 0.572498i) q^{24} +(-2.92176 + 4.05750i) q^{25} +(4.27229 + 1.76964i) q^{26} +(-4.99082 + 0.992735i) q^{27} +(0.931182 - 1.39361i) q^{28} +(-3.70873 - 5.55051i) q^{29} +(-1.43035 - 1.80650i) q^{30} +(-0.914558 + 4.59779i) q^{31} +(-0.923880 - 0.382683i) 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} +(-1.36218 + 0.910181i) q^{37} -2.43755 q^{38} +(-3.96211 + 2.64740i) q^{39} +(-1.70339 - 1.44860i) q^{40} +(6.23402 - 9.32987i) q^{41} +(0.660953 + 1.59568i) q^{42} +(4.08928 + 9.87239i) q^{43} +(-3.21346 + 4.80928i) q^{44} +(-4.31971 + 0.349180i) q^{45} +(-2.78006 + 1.85758i) q^{46} +2.54171 q^{47} +(0.856804 - 0.572498i) 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} +(-4.25536 - 1.76263i) q^{53} +(0.992735 - 4.99082i) q^{54} +(-10.1400 + 8.02861i) q^{55} +(0.931182 + 1.39361i) q^{56} +(1.39549 - 2.08850i) q^{57} +(6.54728 - 1.30233i) q^{58} +(9.68021 + 4.00967i) q^{59} +(2.21636 - 0.630150i) q^{60} +(3.66782 + 2.45076i) q^{61} +(-3.89782 - 2.60444i) q^{62} +(3.18606 + 0.633746i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-9.20324 + 4.71388i) q^{65} +(-2.28091 - 5.50661i) q^{66} +(1.91399 + 1.91399i) q^{67} +(1.62095 - 3.79111i) q^{68} -3.44543i q^{69} +(1.02496 + 3.60496i) q^{70} +(-8.05408 - 1.60206i) q^{71} -1.93813i q^{72} +(1.06890 - 5.37374i) q^{73} +(-0.319613 - 1.60680i) q^{74} +(5.14918 + 0.180460i) q^{75} +(0.932809 - 2.25200i) q^{76} +(8.95664 - 3.70996i) q^{77} +(-0.929642 - 4.67362i) q^{78} +(4.50408 - 0.895917i) q^{79} +(1.99020 - 1.01937i) q^{80} +(-0.403592 - 0.403592i) q^{81} +(6.23402 + 9.32987i) q^{82} +(2.34465 - 5.66048i) q^{83} -1.72715 q^{84} +(6.05202 - 6.95507i) q^{85} -10.6858 q^{86} +(-2.63246 + 6.35531i) q^{87} +(-3.21346 - 4.80928i) q^{88} +(10.2485 + 10.2485i) q^{89} +(1.33048 - 4.12452i) q^{90} +(7.60177 - 1.51209i) q^{91} +(-0.652295 - 3.27931i) q^{92} +(4.46299 - 1.84863i) q^{93} +(-0.972672 + 2.34824i) q^{94} +(3.53104 - 4.15210i) q^{95} +(0.201035 + 1.01067i) q^{96} +(1.86285 - 9.36520i) q^{97} +4.19074i 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} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) $ 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{1}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.382683	+	0.923880i	−0.270598	+	0.653281i
$2$	−0.382683	+	0.923880i	−0.270598	+	0.653281i
$3$	−0.572498	−	0.856804i	−0.330532	−	0.494676i	0.628564	−	0.777758i	$-0.283643\pi$
$3$	−0.572498	−	0.856804i	−0.330532	−	0.494676i	−0.959096	+	0.283082i	$0.908643\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−1.01937	−	1.99020i	−0.455877	−	0.890043i
$5$	−1.01937	−	1.99020i	−0.455877	−	0.890043i
$6$	1.01067	−	0.201035i	0.412604	−	0.0820720i
$7$	0.326988	+	1.64388i	0.123590	+	0.621328i	0.992079	+	0.125619i	$0.0400917\pi$
$7$	0.326988	+	1.64388i	0.123590	+	0.621328i	−0.868489	+	0.495709i	$0.834908\pi$
$8$	0.923880	−	0.382683i	0.326641	−	0.135299i
$9$	0.741692	−	1.79060i	0.247231	−	0.596867i
$10$	2.22880	−	0.180163i	0.704808	−	0.0569725i
$11$	−1.12842	−	5.67293i	−0.340230	−	1.71045i	−0.650247	−	0.759723i	$-0.725335\pi$
$11$	−1.12842	−	5.67293i	−0.340230	−	1.71045i	0.310017	−	0.950731i	$-0.399665\pi$
$12$	−0.201035	+	1.01067i	−0.0580337	+	0.291755i
$13$		−	4.62429i		−	1.28255i	−0.767312	−	0.641274i	$-0.778406\pi$
$13$		−	4.62429i		−	1.28255i	0.767312	−	0.641274i	$-0.221594\pi$
$14$	−1.64388	−	0.326988i	−0.439345	−	0.0873912i
$15$	−1.12162	+	2.01279i	−0.289600	+	0.519699i
$16$			1.00000i			0.250000i
$17$	1.53454	+	3.82690i	0.372180	+	0.928161i
$17$	1.53454	+	3.82690i	0.372180	+	0.928161i
$18$	1.37047	+	1.37047i	0.323022	+	0.323022i
$19$	0.932809	+	2.25200i	0.214001	+	0.516644i	0.994031	−	0.109098i	$-0.0347962\pi$
$19$	0.932809	+	2.25200i	0.214001	+	0.516644i	−0.780030	+	0.625742i	$0.784796\pi$
$20$	−0.686475	+	2.12809i	−0.153501	+	0.475855i
$21$	1.22128	−	1.22128i	0.266505	−	0.266505i
$22$	5.67293	+	1.12842i	1.20947	+	0.240579i
$23$	2.78006	+	1.85758i	0.579684	+	0.387332i	0.810564	−	0.585650i	$-0.199161\pi$
$23$	2.78006	+	1.85758i	0.579684	+	0.387332i	−0.230881	+	0.972982i	$0.574161\pi$
$24$	−0.856804	−	0.572498i	−0.174894	−	0.116861i
$25$	−2.92176	+	4.05750i	−0.584351	+	0.811501i
$26$	4.27229	+	1.76964i	0.837864	+	0.347055i
$27$	−4.99082	+	0.992735i	−0.960483	+	0.191052i
$28$	0.931182	−	1.39361i	0.175977	−	0.263368i
$29$	−3.70873	−	5.55051i	−0.688695	−	1.03070i	−0.996845	−	0.0793667i	$-0.974710\pi$
$29$	−3.70873	−	5.55051i	−0.688695	−	1.03070i	0.308151	−	0.951337i	$-0.400290\pi$
$30$	−1.43035	−	1.80650i	−0.261144	−	0.329820i
$31$	−0.914558	+	4.59779i	−0.164260	+	0.825788i	0.807510	+	0.589854i	$0.200815\pi$
$31$	−0.914558	+	4.59779i	−0.164260	+	0.825788i	−0.971769	+	0.235934i	$0.924185\pi$
$32$	−0.923880	−	0.382683i	−0.163320	−	0.0676495i
$33$	−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
$37$	−1.36218	+	0.910181i	−0.223941	+	0.149633i	−0.662480	−	0.749079i	$-0.730496\pi$
$37$	−1.36218	+	0.910181i	−0.223941	+	0.149633i	0.438539	+	0.898712i	$0.355496\pi$
$38$	−2.43755			−0.395422
$39$	−3.96211	+	2.64740i	−0.634445	+	0.423923i
$40$	−1.70339	−	1.44860i	−0.269330	−	0.229044i
$41$	6.23402	−	9.32987i	0.973591	−	1.45708i	0.0860830	−	0.996288i	$-0.472565\pi$
$41$	6.23402	−	9.32987i	0.973591	−	1.45708i	0.887508	−	0.460793i	$-0.152435\pi$
$42$	0.660953	+	1.59568i	0.101987	+	0.246219i
$43$	4.08928	+	9.87239i	0.623609	+	1.50553i	0.847436	+	0.530897i	$0.178145\pi$
$43$	4.08928	+	9.87239i	0.623609	+	1.50553i	−0.223827	+	0.974629i	$0.571855\pi$
$44$	−3.21346	+	4.80928i	−0.484447	+	0.725026i
$45$	−4.31971	+	0.349180i	−0.643944	+	0.0520527i
$46$	−2.78006	+	1.85758i	−0.409898	+	0.273885i
$47$	2.54171			0.370747			0.185374	−	0.982668i	$-0.440650\pi$
$47$	2.54171			0.370747			0.185374	+	0.982668i	$0.440650\pi$
$48$	0.856804	−	0.572498i	0.123669	−	0.0826329i
$49$	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
$53$	−4.25536	−	1.76263i	−0.584519	−	0.242116i	0.0707718	−	0.997493i	$-0.477454\pi$
$53$	−4.25536	−	1.76263i	−0.584519	−	0.242116i	−0.655290	+	0.755377i	$0.727454\pi$
$54$	0.992735	−	4.99082i	0.135094	−	0.679164i
$55$	−10.1400	+	8.02861i	−1.36727	+	1.08258i
$56$	0.931182	+	1.39361i	0.124434	+	0.186229i
$57$	1.39549	−	2.08850i	0.184837	−	0.276628i
$58$	6.54728	−	1.30233i	0.859699	−	0.171005i
$59$	9.68021	+	4.00967i	1.26026	+	0.522015i	0.909988	−	0.414635i	$-0.136091\pi$
$59$	9.68021	+	4.00967i	1.26026	+	0.522015i	0.350268	+	0.936650i	$0.386091\pi$
$60$	2.21636	−	0.630150i	0.286131	−	0.0813521i
$61$	3.66782	+	2.45076i	0.469616	+	0.313788i	0.767765	−	0.640732i	$-0.221369\pi$
$61$	3.66782	+	2.45076i	0.469616	+	0.313788i	−0.298148	+	0.954520i	$0.596369\pi$
$62$	−3.89782	−	2.60444i	−0.495024	−	0.330764i
$63$	3.18606	+	0.633746i	0.401405	+	0.0798445i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−9.20324	+	4.71388i	−1.14152	+	0.584684i
$66$	−2.28091	−	5.50661i	−0.280761	−	0.677816i
$67$	1.91399	+	1.91399i	0.233831	+	0.233831i	0.814290	−	0.580459i	$-0.197127\pi$
$67$	1.91399	+	1.91399i	0.233831	+	0.233831i	−0.580459	+	0.814290i	$0.697127\pi$
$68$	1.62095	−	3.79111i	0.196569	−	0.459740i
$69$		−	3.44543i		−	0.414781i
$70$	1.02496	+	3.60496i	0.122506	+	0.430875i
$71$	−8.05408	−	1.60206i	−0.955843	−	0.190129i	−0.307560	−	0.951529i	$-0.599513\pi$
$71$	−8.05408	−	1.60206i	−0.955843	−	0.190129i	−0.648283	+	0.761400i	$0.724513\pi$
$72$		−	1.93813i		−	0.228411i
$73$	1.06890	−	5.37374i	0.125106	−	0.628949i	−0.866450	−	0.499264i	$-0.833604\pi$
$73$	1.06890	−	5.37374i	0.125106	−	0.628949i	0.991555	−	0.129684i	$-0.0413964\pi$
$74$	−0.319613	−	1.60680i	−0.0371543	−	0.186787i
$75$	5.14918	+	0.180460i	0.594576	+	0.0208378i
$76$	0.932809	−	2.25200i	0.107001	−	0.258322i
$77$	8.95664	−	3.70996i	1.02070	−	0.422789i
$78$	−0.929642	−	4.67362i	−0.105261	−	0.529184i
$79$	4.50408	−	0.895917i	0.506749	−	0.100799i	0.0649064	−	0.997891i	$-0.479325\pi$
$79$	4.50408	−	0.895917i	0.506749	−	0.100799i	0.441842	+	0.897093i	$0.354325\pi$
$80$	1.99020	−	1.01937i	0.222511	−	0.113969i
$81$	−0.403592	−	0.403592i	−0.0448435	−	0.0448435i
$82$	6.23402	+	9.32987i	0.688432	+	1.03031i
$83$	2.34465	−	5.66048i	0.257358	−	0.621318i	−0.741404	−	0.671059i	$-0.765840\pi$
$83$	2.34465	−	5.66048i	0.257358	−	0.621318i	0.998762	+	0.0497411i	$0.0158396\pi$
$84$	−1.72715			−0.188448
$85$	6.05202	−	6.95507i	0.656434	−	0.754383i
$86$	−10.6858			−1.15228
$87$	−2.63246	+	6.35531i	−0.282229	+	0.681361i
$88$	−3.21346	−	4.80928i	−0.342556	−	0.512671i
$89$	10.2485	+	10.2485i	1.08634	+	1.08634i	0.995902	+	0.0904408i	$0.0288276\pi$
$89$	10.2485	+	10.2485i	1.08634	+	1.08634i	0.0904408	+	0.995902i	$0.471172\pi$
$90$	1.33048	−	4.12452i	0.140245	−	0.434762i
$91$	7.60177	−	1.51209i	0.796882	−	0.158510i
$92$	−0.652295	−	3.27931i	−0.0680065	−	0.341892i
$93$	4.46299	−	1.84863i	0.462790	−	0.191694i
$94$	−0.972672	+	2.34824i	−0.100323	+	0.242202i
$95$	3.53104	−	4.15210i	0.362277	−	0.425997i
$96$	0.201035	+	1.01067i	0.0205180	+	0.103151i
$97$	1.86285	−	9.36520i	0.189144	−	0.950892i	−0.763269	−	0.646081i	$-0.776407\pi$
$97$	1.86285	−	9.36520i	0.189144	−	0.950892i	0.952413	−	0.304811i	$-0.0985932\pi$
$98$			4.19074i			0.423329i
$99$	−10.9949	−	2.18702i	−1.10503	−	0.219804i
$100$	4.93508	−	0.803094i	0.493508	−	0.0803094i
$101$			8.75461i			0.871116i	0.900161	+	0.435558i	$0.143449\pi$
$101$			8.75461i			0.871116i	−0.900161	+	0.435558i	$0.856551\pi$
$102$	2.32025	+	3.55924i	0.229739	+	0.352417i
$103$	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
$105$	−3.67553	−	1.18565i	−0.358695	−	0.115707i
$106$	3.25691	−	3.25691i	0.316339	−	0.316339i
$107$	−12.8130	−	2.54866i	−1.23868	−	0.246388i	−0.468066	−	0.883693i	$-0.655049\pi$
$107$	−12.8130	−	2.54866i	−1.23868	−	0.246388i	−0.770612	+	0.637305i	$0.780049\pi$
$108$	4.23101	+	2.82707i	0.407129	+	0.272035i
$109$	7.92144	+	5.29294i	0.758737	+	0.506972i	0.873740	−	0.486394i	$-0.161688\pi$
$109$	7.92144	+	5.29294i	0.758737	+	0.506972i	−0.115003	+	0.993365i	$0.536688\pi$
$110$	−3.53707	−	12.4405i	−0.337246	−	1.18616i
$111$	1.55969	+	0.646046i	0.148040	+	0.0613200i
$112$	−1.64388	+	0.326988i	−0.155332	+	0.0308974i
$113$	3.84589	−	5.75578i	0.361791	−	0.541458i	−0.605264	−	0.796024i	$-0.706933\pi$
$113$	3.84589	−	5.75578i	0.361791	−	0.541458i	0.967055	+	0.254566i	$0.0819326\pi$
$114$	1.39549	+	2.08850i	0.130700	+	0.195606i
$115$	0.863025	−	7.42644i	0.0804775	−	0.692519i
$116$	−1.30233	+	6.54728i	−0.120919	+	0.607899i
$117$	−8.28026	−	3.42980i	−0.765511	−	0.317085i
$118$	−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
$122$	−3.66782	+	2.45076i	−0.332069	+	0.221881i
$123$	−11.5628			−1.04259
$124$	3.89782	−	2.60444i	0.350035	−	0.233886i
$125$	11.0536	+	1.67876i	0.988663	+	0.150153i
$126$	−1.80476	+	2.70101i	−0.160780	+	0.240625i
$127$	−5.28908	−	12.7690i	−0.469330	−	1.13306i	−0.964457	−	0.264242i	$-0.914878\pi$
$127$	−5.28908	−	12.7690i	−0.469330	−	1.13306i	0.495127	−	0.868821i	$-0.335122\pi$
$128$	0.382683	+	0.923880i	0.0338248	+	0.0816602i
$129$	6.11760	−	9.15563i	0.538624	−	0.806108i
$130$	−0.833125	−	10.3066i	−0.0730699	−	0.903949i
$131$	−0.0869490	+	0.0580974i	−0.00759677	+	0.00507600i	−0.559363	−	0.828923i	$-0.688954\pi$
$131$	−0.0869490	+	0.0580974i	−0.00759677	+	0.00507600i	0.551766	+	0.833999i	$0.313954\pi$
$132$	5.96031			0.518778
$133$	−3.39700	+	2.26980i	−0.294557	+	0.196817i
$134$	−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	$0.170601\pi$
$138$	3.18316	+	1.31851i	0.270969	+	0.112239i
$139$	0.320189	−	1.60970i	0.0271581	−	0.136533i	−0.964828	−	0.262884i	$-0.915326\pi$
$139$	0.320189	−	1.60970i	0.0271581	−	0.136533i	0.991986	+	0.126351i	$0.0403265\pi$
$140$	−3.72278	−	0.432624i	−0.314633	−	0.0365634i
$141$	−1.45513	−	2.17775i	−0.122544	−	0.183400i
$142$	4.56227	−	6.82792i	0.382857	−	0.572986i
$143$	−26.2333	+	5.21813i	−2.19374	+	0.436362i
$144$	1.79060	+	0.741692i	0.149217	+	0.0618076i
$145$	−7.26602	+	13.0391i	−0.603410	+	1.08284i
$146$	4.55564	+	3.04398i	0.377027	+	0.251922i
$147$	−3.59064	−	2.39919i	−0.296151	−	0.197882i
$148$	1.60680	+	0.319613i	0.132078	+	0.0262720i
$149$	−7.67572	+	7.67572i	−0.628820	+	0.628820i	−0.947771	−	0.318951i	$-0.896669\pi$
$149$	−7.67572	+	7.67572i	−0.628820	+	0.628820i	0.318951	+	0.947771i	$0.396669\pi$
$150$	−2.13723	+	4.68817i	−0.174504	+	0.382787i
$151$	−3.20221	−	7.73081i	−0.260592	−	0.629124i	0.738384	−	0.674381i	$-0.235589\pi$
$151$	−3.20221	−	7.73081i	−0.260592	−	0.629124i	−0.998975	+	0.0452566i	$0.985589\pi$
$152$	1.72361	+	1.72361i	0.139803	+	0.139803i
$153$	7.99062	+	0.0906377i	0.646003	+	0.00732763i
$154$			9.69459i			0.781213i
$155$	10.0828	−	2.86672i	0.809869	−	0.230260i
$156$	4.67362	+	0.929642i	0.374189	+	0.0744309i
$157$			5.11593i			0.408296i	0.978940	+	0.204148i	$0.0654423\pi$
$157$			5.11593i			0.408296i	−0.978940	+	0.204148i	$0.934558\pi$
$158$	−0.895917	+	4.50408i	−0.0712754	+	0.358325i
$159$	0.925959	+	4.65511i	0.0734333	+	0.369174i
$160$	0.180163	+	2.22880i	0.0142431	+	0.176202i
$161$	−2.14459	+	5.17749i	−0.169017	+	0.408044i
$162$	0.527318	−	0.218422i	0.0414300	−	0.0171609i
$163$	1.95303	+	9.81857i	0.152973	+	0.769050i	0.978751	+	0.205053i	$0.0657368\pi$
$163$	1.95303	+	9.81857i	0.152973	+	0.769050i	−0.825777	+	0.563996i	$0.809263\pi$
$164$	−11.0053	+	2.18910i	−0.859372	+	0.170940i
$165$	12.6840	+	4.09160i	0.987452	+	0.318531i
$166$	4.33234	+	4.33234i	0.336255	+	0.336255i
$167$	7.04496	+	10.5435i	0.545156	+	0.815883i	0.997095	−	0.0761654i	$-0.0242677\pi$
$167$	7.04496	+	10.5435i	0.545156	+	0.815883i	−0.451939	+	0.892049i	$0.649268\pi$
$168$	0.660953	−	1.59568i	0.0509936	−	0.123109i
$169$	−8.38405			−0.644927
$170$	4.10964	+	8.25293i	0.315195	+	0.632971i
$171$	4.72429			0.361276
$172$	4.08928	−	9.87239i	0.311805	−	0.752763i
$173$	−3.95559	−	5.91996i	−0.300738	−	0.450086i	0.650067	−	0.759877i	$-0.274741\pi$
$173$	−3.95559	−	5.91996i	−0.300738	−	0.450086i	−0.950805	+	0.309791i	$0.899741\pi$
$174$	−4.86415	−	4.86415i	−0.368750	−	0.368750i
$175$	−7.62542	−	3.47626i	−0.576428	−	0.262781i
$176$	5.67293	−	1.12842i	0.427613	−	0.0850576i
$177$	−2.10640	−	10.5896i	−0.158326	−	0.795960i
$178$	−13.3904	+	5.54647i	−1.00365	+	0.415725i
$179$	3.11798	−	7.52747i	0.233049	−	0.562629i	−0.763484	−	0.645826i	$-0.776513\pi$
$179$	3.11798	−	7.52747i	0.233049	−	0.562629i	0.996533	+	0.0831969i	$0.0265131\pi$
$180$	3.30140	+	2.80759i	0.246072	+	0.209265i
$181$	2.60085	+	13.0754i	0.193320	+	0.971883i	0.948599	+	0.316480i	$0.102501\pi$
$181$	2.60085	+	13.0754i	0.193320	+	0.971883i	−0.755279	+	0.655403i	$0.772499\pi$
$182$	−1.51209	+	7.60177i	−0.112083	+	0.563481i
$183$		−	4.54566i		−	0.336025i
$184$	3.27931	+	0.652295i	0.241754	+	0.0480879i
$185$	3.20001	+	1.78320i	0.235269	+	0.131103i
$186$			4.83071i			0.354204i
$187$	19.9782	−	13.0237i	1.46095	−	0.952385i
$188$	−1.79726	−	1.79726i	−0.131079	−	0.131079i
$189$	−3.26387	−	7.87968i	−0.237412	−	0.573163i
$190$	2.48477	+	4.85120i	0.180264	+	0.351943i
$191$	−12.4734	+	12.4734i	−0.902546	+	0.902546i	−0.995656	−	0.0931101i	$-0.970319\pi$
$191$	−12.4734	+	12.4734i	−0.902546	+	0.902546i	0.0931101	+	0.995656i	$0.470319\pi$
$192$	−1.01067	−	0.201035i	−0.0729387	−	0.0145084i
$193$	−2.63170	−	1.75845i	−0.189434	−	0.126576i	0.457237	−	0.889345i	$-0.348839\pi$
$193$	−2.63170	−	1.75845i	−0.189434	−	0.126576i	−0.646671	+	0.762769i	$0.723839\pi$
$194$	7.93943	+	5.30496i	0.570018	+	0.380874i
$195$	9.30770	+	5.18669i	0.666538	+	0.371426i
$196$	−3.87174	−	1.60373i	−0.276553	−	0.114552i
$197$	−19.6912	+	3.91682i	−1.40294	+	0.279062i	−0.837820	−	0.545947i	$-0.816170\pi$
$197$	−19.6912	+	3.91682i	−1.40294	+	0.279062i	−0.565120	+	0.825009i	$0.691170\pi$
$198$	6.22811	−	9.32103i	0.442613	−	0.662417i
$199$	3.18389	+	4.76502i	0.225700	+	0.337783i	0.926986	−	0.375097i	$-0.122390\pi$
$199$	3.18389	+	4.76502i	0.225700	+	0.337783i	−0.701286	+	0.712880i	$0.747390\pi$
$200$	−1.14661	+	4.86675i	−0.0810778	+	0.344131i
$201$	0.544157	−	2.73566i	0.0383819	−	0.192959i
$202$	−8.08820	−	3.35024i	−0.569084	−	0.235722i
$203$	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
$207$	5.38814	−	3.60024i	0.374501	−	0.250234i
$208$	4.62429			0.320637
$209$	11.7229	−	7.83296i	0.810887	−	0.541817i
$210$	2.50196	−	2.94202i	0.172652	−	0.203019i
$211$	10.6946	−	16.0056i	0.736246	−	1.10187i	−0.254622	−	0.967041i	$-0.581951\pi$
$211$	10.6946	−	16.0056i	0.736246	−	1.10187i	0.990869	−	0.134830i	$-0.0430488\pi$
$212$	1.76263	+	4.25536i	0.121058	+	0.292259i
$213$	3.23829	+	7.81793i	0.221884	+	0.535676i
$214$	7.25797	−	10.8623i	0.496145	−	0.742533i
$215$	15.4795	−	18.2021i	1.05569	−	1.24137i
$216$	−4.23101	+	2.82707i	−0.287884	+	0.192358i
$217$	−7.85727			−0.533386
$218$	−7.92144	+	5.29294i	−0.536508	+	0.358483i
$219$	−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
$223$	−3.98779	−	1.65180i	−0.267042	−	0.110612i	0.245145	−	0.969486i	$-0.421164\pi$
$223$	−3.98779	−	1.65180i	−0.267042	−	0.110612i	−0.512187	+	0.858874i	$0.671164\pi$
$224$	0.326988	−	1.64388i	0.0218478	−	0.109836i
$225$	5.09833	+	8.24112i	0.339889	+	0.549408i
$226$	3.84589	+	5.75578i	0.255825	+	0.382869i
$227$	−10.9287	+	16.3559i	−0.725362	+	1.08558i	0.267176	+	0.963648i	$0.413909\pi$
$227$	−10.9287	+	16.3559i	−0.725362	+	1.08558i	−0.992538	+	0.121934i	$0.961091\pi$
$228$	−2.46355	+	0.490031i	−0.163153	+	0.0324531i
$229$	−4.35060	−	1.80208i	−0.287496	−	0.119085i	0.234275	−	0.972170i	$-0.424728\pi$
$229$	−4.35060	−	1.80208i	−0.287496	−	0.119085i	−0.521771	+	0.853086i	$0.674728\pi$
$230$	6.53087	+	3.63931i	0.430633	+	0.239969i
$231$	−8.30636	−	5.55013i	−0.546518	−	0.365172i
$232$	−5.55051	−	3.70873i	−0.364409	−	0.243490i
$233$	−5.00530	−	0.995617i	−0.327908	−	0.0652250i	0.0283910	−	0.999597i	$-0.490962\pi$
$233$	−5.00530	−	0.995617i	−0.327908	−	0.0652250i	−0.356299	+	0.934372i	$0.615962\pi$
$234$	6.33744	−	6.33744i	0.414291	−	0.414291i
$235$	−2.59095	−	5.05851i	−0.169015	−	0.329981i
$236$	−4.00967	−	9.68021i	−0.261007	−	0.630128i
$237$	−3.34620	−	3.34620i	−0.217359	−	0.217359i
$238$	−1.27124	−	6.79274i	−0.0824024	−	0.440308i
$239$		−	2.61897i		−	0.169407i	−0.996406	−	0.0847037i	$-0.973006\pi$
$239$		−	2.61897i		−	0.169407i	0.996406	−	0.0847037i	$-0.0269944\pi$
$240$	−2.01279	−	1.12162i	−0.129925	−	0.0724001i
$241$	3.94028	+	0.783771i	0.253816	+	0.0504871i	0.320358	−	0.947296i	$-0.396197\pi$
$241$	3.94028	+	0.783771i	0.253816	+	0.0504871i	−0.0665423	+	0.997784i	$0.521197\pi$
$242$		−	22.4555i		−	1.44349i
$243$	−3.09295	+	15.5493i	−0.198413	+	0.997488i
$244$	−0.860592	−	4.32649i	−0.0550938	−	0.276975i
$245$	−7.13848	−	6.07073i	−0.456061	−	0.387844i
$246$	4.42490	−	10.6827i	0.282122	−	0.681102i
$247$	10.4139	−	4.31358i	0.662621	−	0.274466i
$248$	0.914558	+	4.59779i	0.0580745	+	0.291960i
$249$	−6.19222	+	1.23171i	−0.392416	+	0.0780564i
$250$	−5.78100	+	9.56975i	−0.365622	+	0.605244i
$251$	−7.61296	−	7.61296i	−0.480526	−	0.480526i	0.424774	−	0.905300i	$-0.360354\pi$
$251$	−7.61296	−	7.61296i	−0.480526	−	0.480526i	−0.905300	+	0.424774i	$0.860354\pi$
$252$	−1.80476	−	2.70101i	−0.113689	−	0.170148i
$253$	7.40086	−	17.8672i	0.465288	−	1.12330i
$254$	13.8210			0.867208
$255$	−9.42390	−	1.20363i	−0.590148	−	0.0753743i
$256$	−1.00000			−0.0625000
$257$	0.253308	−	0.611539i	0.0158009	−	0.0381467i	−0.915782	−	0.401675i	$-0.868428\pi$
$257$	0.253308	−	0.611539i	0.0158009	−	0.0381467i	0.931583	+	0.363528i	$0.118428\pi$
$258$	6.11760	+	9.15563i	0.380865	+	0.570005i
$259$	−1.94164	−	1.94164i	−0.120648	−	0.120648i
$260$	9.84089	+	3.17446i	0.610306	+	0.196872i
$261$	−12.6895	+	2.52410i	−0.785460	+	0.156238i
$262$	−0.0204011	−	0.102563i	−0.00126038	−	0.00633638i
$263$	−23.8217	+	9.86725i	−1.46891	+	0.608441i	−0.966609	−	0.256255i	$-0.917511\pi$
$263$	−23.8217	+	9.86725i	−1.46891	+	0.608441i	−0.502297	+	0.864695i	$0.667511\pi$
$264$	−2.28091	+	5.50661i	−0.140380	+	0.338908i
$265$	0.829825	+	10.2658i	0.0509757	+	0.630622i
$266$	−0.797048	−	4.00703i	−0.0488702	−	0.245687i
$267$	2.91372	−	14.6482i	0.178317	−	0.896458i
$268$		−	2.70679i		−	0.165343i
$269$	27.1342	+	5.39732i	1.65440	+	0.329081i	0.932017	−	0.362414i	$-0.118047\pi$
$269$	27.1342	+	5.39732i	1.65440	+	0.329081i	0.722382	+	0.691494i	$0.243047\pi$
$270$	−10.9447	+	3.11177i	−0.666071	+	0.189376i
$271$			1.15983i			0.0704548i	0.999379	+	0.0352274i	$0.0112155\pi$
$271$			1.15983i			0.0704548i	−0.999379	+	0.0352274i	$0.988784\pi$
$272$	−3.82690	+	1.53454i	−0.232040	+	0.0930450i
$273$	−5.64756	−	5.64756i	−0.341806	−	0.341806i
$274$	2.21147	+	5.33895i	0.133600	+	0.322538i
$275$	26.3149	+	11.9964i	1.58685	+	0.723409i
$276$	−2.43629	+	2.43629i	−0.146647	+	0.146647i
$277$	−21.5445	−	4.28548i	−1.29449	−	0.257489i	−0.500665	−	0.865641i	$-0.666911\pi$
$277$	−21.5445	−	4.28548i	−1.29449	−	0.257489i	−0.793821	+	0.608152i	$0.791911\pi$
$278$	1.36464	+	0.911821i	0.0818455	+	0.0546874i
$279$	7.55450	+	5.04776i	0.452276	+	0.302201i
$280$	1.82434	−	3.27385i	0.109025	−	0.195650i
$281$	29.3623	+	12.1623i	1.75161	+	0.725539i	0.997643	+	0.0686226i	$0.0218604\pi$
$281$	29.3623	+	12.1623i	1.75161	+	0.725539i	0.753963	+	0.656916i	$0.228140\pi$
$282$	2.56883	−	0.510972i	0.152972	−	0.0304280i
$283$	10.6808	−	15.9849i	0.634907	−	0.950205i	−0.364910	−	0.931043i	$-0.618900\pi$
$283$	10.6808	−	15.9849i	0.634907	−	0.950205i	0.999816	−	0.0191622i	$-0.00609990\pi$
$284$	4.56227	+	6.82792i	0.270721	+	0.405162i
$285$	−5.57905	−	0.648340i	−0.330474	−	0.0384043i
$286$	5.21813	−	26.2333i	0.308554	−	1.55121i
$287$	17.3756	+	7.19722i	1.02565	+	0.424838i
$288$	−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
$292$	−4.55564	+	3.04398i	−0.266598	+	0.178135i
$293$	0.480564			0.0280748			0.0140374	−	0.999901i	$-0.495532\pi$
$293$	0.480564			0.0280748			0.0140374	+	0.999901i	$0.495532\pi$
$294$	3.59064	−	2.39919i	0.209411	−	0.139924i
$295$	−1.88771	−	23.3529i	−0.109907	−	1.35966i
$296$	−0.910181	+	1.36218i	−0.0529032	+	0.0791753i
$297$	11.2634	+	27.1924i	0.653571	+	1.57786i
$298$	−4.15407	−	10.0288i	−0.240639	−	0.580954i
$299$	8.58999	−	12.8558i	0.496772	−	0.743472i
$300$	−3.51342	−	3.76863i	−0.202847	−	0.217582i
$301$	−14.8919	+	9.95043i	−0.858353	+	0.573533i
$302$	8.36777			0.481511
$303$	7.50098	−	5.01199i	0.430920	−	0.287932i
$304$	−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	$0.109844\pi$
$308$	−8.95664	−	3.70996i	−0.510352	−	0.211395i
$309$	1.77110	−	8.90392i	0.100754	−	0.506526i
$310$	−1.21001	+	10.4123i	−0.0687242	+	0.591380i
$311$	−8.98927	−	13.4534i	−0.509735	−	0.762872i	0.483948	−	0.875097i	$-0.339202\pi$
$311$	−8.98927	−	13.4534i	−0.509735	−	0.762872i	−0.993683	+	0.112225i	$0.964202\pi$
$312$	−2.64740	+	3.96211i	−0.149879	+	0.224310i
$313$	4.31664	−	0.858633i	0.243991	−	0.0485328i	−0.0715797	−	0.997435i	$-0.522804\pi$
$313$	4.31664	−	0.858633i	0.243991	−	0.0485328i	0.315571	+	0.948902i	$0.397804\pi$
$314$	−4.72650	−	1.95778i	−0.266732	−	0.110484i
$315$	−1.98650	−	6.98690i	−0.111927	−	0.393667i
$316$	−3.81838	−	2.55136i	−0.214800	−	0.143525i
$317$	26.6975	+	17.8387i	1.49948	+	1.00192i	0.989942	+	0.141473i	$0.0451839\pi$
$317$	26.6975	+	17.8387i	1.49948	+	1.00192i	0.509539	+	0.860448i	$0.329816\pi$
$318$	−4.65511	−	0.925959i	−0.261046	−	0.0519252i
$319$	−27.3027	+	27.3027i	−1.52866	+	1.52866i
$320$	−2.12809	−	0.686475i	−0.118964	−	0.0383751i
$321$	5.15170	+	12.4373i	0.287540	+	0.694183i
$322$	−3.96268	−	3.96268i	−0.220832	−	0.220832i
$323$	−7.18676	+	7.02555i	−0.399882	+	0.390912i
$324$			0.570765i			0.0317092i
$325$	18.7631	+	13.5111i	1.04079	+	0.749458i
$326$	−9.81857	−	1.95303i	−0.543800	−	0.108169i
$327$		−	9.81732i		−	0.542899i
$328$	2.18910	−	11.0053i	0.120873	−	0.607668i
$329$	0.831109	+	4.17827i	0.0458205	+	0.230355i
$330$	−8.63412	+	10.1527i	−0.475293	+	0.558890i
$331$	−0.705646	+	1.70358i	−0.0387858	+	0.0936372i	−0.942085	−	0.335373i	$-0.891138\pi$
$331$	−0.705646	+	1.70358i	−0.0387858	+	0.0936372i	0.903300	+	0.429010i	$0.141138\pi$
$332$	−5.66048	+	2.34465i	−0.310659	+	0.128679i
$333$	0.619453	+	3.11420i	0.0339458	+	0.170657i
$334$	−12.4369	+	2.47386i	−0.680519	+	0.135364i
$335$	1.85814	−	5.76027i	0.101521	−	0.314717i
$336$	1.22128	+	1.22128i	0.0666263	+	0.0666263i
$337$	−6.96587	−	10.4252i	−0.379455	−	0.567895i	0.591755	−	0.806118i	$-0.298435\pi$
$337$	−6.96587	−	10.4252i	−0.379455	−	0.567895i	−0.971211	+	0.238223i	$0.923435\pi$
$338$	3.20844	−	7.74585i	0.174516	−	0.421319i
$339$	−7.13334			−0.387430
$340$	−9.19740	+	0.638552i	−0.498799	+	0.0346304i
$341$	27.1150			1.46836
$342$	−1.80791	+	4.36468i	−0.0977605	+	0.236015i
$343$	10.4206	+	15.5956i	0.562661	+	0.842081i
$344$	7.55600	+	7.55600i	0.407392	+	0.407392i
$345$	−6.85708	+	3.51218i	−0.369173	+	0.189089i
$346$	6.98306	−	1.38902i	0.375412	−	0.0746741i
$347$	3.58728	+	18.0345i	0.192575	+	0.968142i	0.949291	+	0.314398i	$0.101803\pi$
$347$	3.58728	+	18.0345i	0.192575	+	0.968142i	−0.756716	+	0.653744i	$0.773197\pi$
$348$	6.35531	−	2.63246i	0.340680	−	0.141114i
$349$	−0.302687	+	0.730751i	−0.0162025	+	0.0391162i	−0.931774	−	0.363040i	$-0.881739\pi$
$349$	−0.302687	+	0.730751i	−0.0162025	+	0.0391162i	0.915571	+	0.402156i	$0.131739\pi$
$350$	6.12977	−	5.71466i	0.327650	−	0.305462i
$351$	4.59070	+	23.0790i	0.245033	+	1.23186i
$352$	−1.12842	+	5.67293i	−0.0601448	+	0.302368i
$353$			22.0327i			1.17268i	0.810064	+	0.586341i	$0.199432\pi$
$353$			22.0327i			1.17268i	−0.810064	+	0.586341i	$0.800568\pi$
$354$	10.5896	+	2.10640i	0.562829	+	0.111954i
$355$	5.02170	+	17.6623i	0.266524	+	0.937416i
$356$		−	14.4936i		−	0.768160i
$357$	6.54783	+	2.79962i	0.346548	+	0.148172i
$358$	5.76127	+	5.76127i	0.304493	+	0.304493i
$359$	−10.0104	−	24.1672i	−0.528328	−	1.27550i	−0.932618	−	0.360866i	$-0.882481\pi$
$359$	−10.0104	−	24.1672i	−0.528328	−	1.27550i	0.404289	−	0.914631i	$-0.367519\pi$
$360$	−3.85727	+	1.97568i	−0.203296	+	0.104128i
$361$	9.23366	−	9.23366i	0.485982	−	0.485982i
$362$	−13.0754	−	2.60085i	−0.687225	−	0.136698i
$363$	19.2400	+	12.8557i	1.00984	+	0.674751i
$364$	−6.44447	−	4.30606i	−0.337782	−	0.225699i
$365$	−11.7844	+	3.35052i	−0.616824	+	0.175374i
$366$	4.19964	+	1.73955i	0.219519	+	0.0909276i
$367$	−16.0919	+	3.20087i	−0.839988	+	0.167084i	−0.596292	−	0.802768i	$-0.703360\pi$
$367$	−16.0919	+	3.20087i	−0.839988	+	0.167084i	−0.243696	+	0.969852i	$0.578360\pi$
$368$	−1.85758	+	2.78006i	−0.0968331	+	0.144921i
$369$	−12.0824	−	18.0825i	−0.628983	−	0.941339i
$370$	−2.87205	+	2.27403i	−0.149311	+	0.118221i
$371$	1.50610	−	7.57165i	0.0781926	−	0.393101i
$372$	−4.46299	−	1.84863i	−0.231395	−	0.0958470i
$373$	−0.608572	+	0.608572i	−0.0315107	+	0.0315107i	−0.722687	−	0.691176i	$-0.757093\pi$
$373$	−0.608572	+	0.608572i	−0.0315107	+	0.0315107i	0.691176	+	0.722687i	$0.257093\pi$
$374$	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
$377$	−25.6672	+	17.1503i	−1.32193	+	0.883283i
$378$	8.52891			0.438680
$379$	18.3579	−	12.2664i	0.942984	−	0.630082i	0.0138811	−	0.999904i	$-0.495581\pi$
$379$	18.3579	−	12.2664i	0.942984	−	0.630082i	0.929103	+	0.369822i	$0.120581\pi$
$380$	−5.43280	+	0.439156i	−0.278697	+	0.0225282i
$381$	−7.91251	+	11.8419i	−0.405370	+	0.606679i
$382$	−6.75057	−	16.2973i	−0.345389	−	0.833844i
$383$	−11.5954	−	27.9938i	−0.592497	−	1.43041i	−0.881084	−	0.472960i	$-0.843185\pi$
$383$	−11.5954	−	27.9938i	−0.592497	−	1.43041i	0.288587	−	0.957454i	$-0.406815\pi$
$384$	0.572498	−	0.856804i	0.0292152	−	0.0437236i
$385$	−16.5137	−	14.0436i	−0.841616	−	0.715729i
$386$	2.63170	−	1.75845i	0.133950	−	0.0895026i
$387$	20.7105			1.05277
$388$	−7.93943	+	5.30496i	−0.403064	+	0.269318i
$389$	−28.5851	+	11.8403i	−1.44932	+	0.600329i	−0.962039	−	0.272914i	$-0.912013\pi$
$389$	−28.5851	+	11.8403i	−1.44932	+	0.600329i	−0.487285	+	0.873243i	$0.662013\pi$
$390$	−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
$393$	0.0995562	+	0.0412375i	0.00502195	+	0.00208016i
$394$	3.91682	−	19.6912i	0.197327	−	0.992028i
$395$	−6.37439	−	8.05073i	−0.320730	−	0.405076i
$396$	6.22811	+	9.32103i	0.312975	+	0.468399i
$397$	−6.08149	+	9.10159i	−0.305221	+	0.456796i	−0.952095	−	0.305801i	$-0.901076\pi$
$397$	−6.08149	+	9.10159i	−0.305221	+	0.456796i	0.646874	+	0.762597i	$0.276076\pi$
$398$	−5.62073	+	1.11803i	−0.281742	+	0.0560419i
$399$	3.88955	+	1.61110i	0.194721	+	0.0806560i
$400$	−4.05750	−	2.92176i	−0.202875	−	0.146088i
$401$	−12.1334	−	8.10725i	−0.605911	−	0.404857i	0.214423	−	0.976741i	$-0.431213\pi$
$401$	−12.1334	−	8.10725i	−0.605911	−	0.404857i	−0.820335	+	0.571884i	$0.806213\pi$
$402$	2.31918	+	1.54963i	0.115670	+	0.0772884i
$403$	21.2615	+	4.22918i	1.05911	+	0.210671i
$404$	6.19044	−	6.19044i	0.307986	−	0.307986i
$405$	−0.391816	+	1.21464i	−0.0194695	+	0.0603558i
$406$	4.28176	+	10.3371i	0.212500	+	0.513021i
$407$	6.70051	+	6.70051i	0.332132	+	0.332132i
$408$	0.876098	−	4.15742i	0.0433733	−	0.205823i
$409$		−	2.35457i		−	0.116426i	−0.998304	−	0.0582130i	$-0.981460\pi$
$409$		−	2.35457i		−	0.116426i	0.998304	−	0.0582130i	$-0.0185403\pi$
$410$	12.2135	−	21.9175i	0.603181	−	1.08243i
$411$	−5.84049	−	1.16175i	−0.288090	−	0.0573047i
$412$		−	8.80993i		−	0.434034i
$413$	−3.42611	+	17.2242i	−0.168588	+	0.847547i
$414$	1.26424	+	6.35574i	0.0621338	+	0.312368i
$415$	−13.6555	+	1.10383i	−0.670323	+	0.0541850i
$416$	−1.76964	+	4.27229i	−0.0867637	+	0.209466i
$417$	−1.56250	+	0.647210i	−0.0765161	+	0.0316940i
$418$	2.75057	+	13.8280i	0.134535	+	0.676352i
$419$	−26.7980	+	5.33045i	−1.30917	+	0.260409i	−0.799866	−	0.600179i	$-0.795096\pi$
$419$	−26.7980	+	5.33045i	−1.30917	+	0.260409i	−0.509301	+	0.860589i	$0.670096\pi$
$420$	1.76061	+	3.43737i	0.0859091	+	0.167727i
$421$	7.28333	+	7.28333i	0.354968	+	0.354968i	0.861954	−	0.506986i	$-0.169241\pi$
$421$	7.28333	+	7.28333i	0.354968	+	0.354968i	−0.506986	+	0.861954i	$0.669241\pi$
$422$	10.6946	+	16.0056i	0.520605	+	0.779140i
$423$	1.88517	−	4.55120i	0.0916600	−	0.221287i
$424$	−4.60597			−0.223686
$425$	−20.0112	−	4.95490i	−0.970687	−	0.240348i
$426$	−8.46207			−0.409989
$427$	−2.82942	+	6.83082i	−0.136925	+	0.330567i
$428$	7.25797	+	10.8623i	0.350827	+	0.525050i
$429$	19.4894	+	19.4894i	0.940958	+	0.940958i
$430$	10.8928	+	21.2668i	0.525298	+	1.02558i
$431$	16.9262	−	3.36683i	0.815307	−	0.162175i	0.230213	−	0.973140i	$-0.426058\pi$
$431$	16.9262	−	3.36683i	0.815307	−	0.162175i	0.585094	+	0.810966i	$0.301058\pi$
$432$	−0.992735	−	4.99082i	−0.0477630	−	0.240121i
$433$	23.6929	−	9.81392i	1.13861	−	0.471627i	0.267910	−	0.963444i	$-0.413667\pi$
$433$	23.6929	−	9.81392i	1.13861	−	0.471627i	0.870699	+	0.491817i	$0.163667\pi$
$434$	3.00685	−	7.25917i	0.144333	−	0.348451i
$435$	15.3318	−	1.23933i	0.735102	−	0.0594213i
$436$	−1.85863	−	9.34398i	−0.0890124	−	0.447495i
$437$	−1.59000	+	7.99347i	−0.0760601	+	0.382380i
$438$		−	5.64596i		−	0.269774i
$439$	−34.5319	−	6.86883i	−1.64812	−	0.327831i	−0.718268	−	0.695767i	$-0.755065\pi$
$439$	−34.5319	−	6.86883i	−1.64812	−	0.327831i	−0.929851	+	0.367936i	$0.880065\pi$
$440$	−6.29570	+	11.2979i	−0.300136	+	0.538605i
$441$		−	8.12222i		−	0.386772i
$442$	−0.216257	+	19.0652i	−0.0102863	+	0.906839i
$443$	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
$445$	9.94951	−	30.8437i	0.471652	−	1.46213i
$446$	3.05212	−	3.05212i	0.144522	−	0.144522i
$447$	10.9709	+	2.18225i	0.518907	+	0.103217i
$448$	1.39361	+	0.931182i	0.0658420	+	0.0439942i
$449$	2.92263	+	1.95284i	0.137928	+	0.0921603i	0.622620	−	0.782525i	$-0.286068\pi$
$449$	2.92263	+	1.95284i	0.137928	+	0.0921603i	−0.484692	+	0.874685i	$0.661068\pi$
$450$	−9.56485	+	1.55650i	−0.450891	+	0.0733743i
$451$	−59.9623	−	24.8372i	−2.82352	−	1.16954i
$452$	−6.78941	+	1.35050i	−0.319347	+	0.0635220i
$453$	−4.79053	+	7.16953i	−0.225079	+	0.336854i
$454$	−10.9287	−	16.3559i	−0.512909	−	0.767622i
$455$	−10.7584	−	13.5876i	−0.504361	−	0.636998i
$456$	0.490031	−	2.46355i	0.0229478	−	0.115366i
$457$	31.9028	+	13.2146i	1.49235	+	0.618152i	0.971827	−	0.235695i	$-0.0757365\pi$
$457$	31.9028	+	13.2146i	1.49235	+	0.618152i	0.520524	+	0.853847i	$0.325737\pi$
$458$	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	−0.382904	−	0.923788i	$-0.625076\pi$
$461$	−0.00945111	+	0.00391478i	−0.000440182	+	0.000182329i	0.382463	+	0.923971i	$0.375076\pi$
$462$	8.30636	−	5.55013i	0.386447	−	0.258216i
$463$	−14.9029			−0.692597			−0.346298	−	0.938124i	$-0.612562\pi$
$463$	−14.9029			−0.692597			−0.346298	+	0.938124i	$0.612562\pi$
$464$	5.55051	−	3.70873i	0.257676	−	0.172174i
$465$	−8.22859	−	6.99778i	−0.381592	−	0.324514i
$466$	2.83528	−	4.24329i	0.131342	−	0.196567i
$467$	−3.11331	−	7.51619i	−0.144067	−	0.347808i	0.835331	−	0.549747i	$-0.185276\pi$
$467$	−3.11331	−	7.51619i	−0.144067	−	0.347808i	−0.979398	+	0.201939i	$0.935276\pi$
$468$	3.42980	+	8.28026i	0.158542	+	0.382755i
$469$	−2.52051	+	3.77221i	−0.116386	+	0.174184i
$470$	5.66497	−	0.457923i	0.261305	−	0.0211224i
$471$	4.38335	−	2.92886i	0.201974	−	0.134955i
$472$	10.4778			0.482279
$473$	51.3910	−	34.3384i	2.36296	−	1.57888i
$474$	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
$478$	2.41962	+	1.00224i	0.110671	+	0.0458413i
$479$	−6.31687	+	31.7570i	−0.288625	+	1.45102i	0.515671	+	0.856787i	$0.327543\pi$
$479$	−6.31687	+	31.7570i	−0.288625	+	1.45102i	−0.804296	+	0.594229i	$0.797457\pi$
$480$	1.80650	−	1.43035i	0.0824550	−	0.0652861i
$481$	4.20894	+	6.29913i	0.191911	+	0.287215i
$482$	−2.23199	+	3.34041i	−0.101664	+	0.152151i
$483$	5.66387	−	1.12661i	0.257715	−	0.0512627i
$484$	20.7462	+	8.59335i	0.943008	+	0.390607i
$485$	−20.5375	+	5.83919i	−0.932561	+	0.265144i
$486$	−13.1821	−	8.80797i	−0.597951	−	0.399538i
$487$	20.1855	+	13.4875i	0.914691	+	0.611177i	0.921322	−	0.388801i	$-0.127111\pi$
$487$	20.1855	+	13.4875i	0.914691	+	0.611177i	−0.00663048	+	0.999978i	$0.502111\pi$
$488$	4.32649	+	0.860592i	0.195851	+	0.0389572i
$489$	7.29448	−	7.29448i	0.329868	−	0.329868i
$490$	8.34040	−	4.27193i	0.376781	−	0.192986i
$491$	−8.98813	−	21.6993i	−0.405629	−	0.979274i	−0.986274	−	0.165118i	$-0.947200\pi$
$491$	−8.98813	−	21.6993i	−0.405629	−	0.979274i	0.580645	−	0.814157i	$-0.302800\pi$
$492$	8.17616	+	8.17616i	0.368610	+	0.368610i
$493$	15.5501	−	22.7104i	0.700341	−	1.02283i
$494$			11.2719i			0.507148i
$495$	6.85531	+	24.1114i	0.308123	+	1.08373i
$496$	−4.59779	−	0.914558i	−0.206447	−	0.0410649i
$497$		−	13.7638i		−	0.617390i
$498$	1.23171	−	6.19222i	0.0551942	−	0.277480i
$499$	−2.34595	−	11.7939i	−0.105019	−	0.527967i	−0.997101	−	0.0760929i	$-0.975755\pi$
$499$	−2.34595	−	11.7939i	−0.105019	−	0.527967i	0.892081	−	0.451875i	$-0.149245\pi$
$500$	−6.62900	−	9.00313i	−0.296458	−	0.402632i
$501$	5.00051	−	12.0723i	0.223406	−	0.539351i
$502$	9.94682	−	4.12011i	0.443948	−	0.183889i
$503$	−4.56923	−	22.9711i	−0.203732	−	1.02423i	−0.938334	−	0.345731i	$-0.887631\pi$
$503$	−4.56923	−	22.9711i	−0.203732	−	1.02423i	0.734601	−	0.678499i	$-0.237369\pi$
$504$	3.18606	−	0.633746i	0.141918	−	0.0282293i
$505$	17.4234	−	8.92421i	0.775331	−	0.397122i
$506$	13.6750	+	13.6750i	0.607928	+	0.607928i
$507$	4.79985	+	7.18349i	0.213169	+	0.319030i
$508$	−5.28908	+	12.7690i	−0.234665	+	0.566531i
$509$	34.4909			1.52878			0.764392	−	0.644752i	$-0.223039\pi$
$509$	34.4909			1.52878			0.764392	+	0.644752i	$0.223039\pi$
$510$	4.71838	−	8.24594i	0.208933	−	0.365136i
$511$	9.18329			0.406245
$512$	0.382683	−	0.923880i	0.0169124	−	0.0408301i
$513$	−6.89112	−	10.3133i	−0.304250	−	0.455343i
$514$	0.468052	+	0.468052i	0.0206449	+	0.0206449i
$515$	6.04780	−	18.7483i	0.266498	−	0.826148i
$516$	−10.7998	+	2.14821i	−0.475435	+	0.0945699i
$517$	−2.86811	−	14.4190i	−0.126139	−	0.634146i
$518$	2.53688	−	1.05081i	0.111464	−	0.0461700i
$519$	−2.80767	+	6.77832i	−0.123243	+	0.297535i
$520$	−6.69876	+	7.87698i	−0.293760	+	0.345428i
$521$	6.54790	+	32.9185i	0.286869	+	1.44219i	0.808238	+	0.588856i	$0.200422\pi$
$521$	6.54790	+	32.9185i	0.286869	+	1.44219i	−0.521369	+	0.853331i	$0.674578\pi$
$522$	2.52410	−	12.6895i	0.110477	−	0.555404i
$523$		−	18.1579i		−	0.793991i	−0.917820	−	0.396996i	$-0.870053\pi$
$523$		−	18.1579i		−	0.793991i	0.917820	−	0.396996i	$-0.129947\pi$
$524$	0.102563	+	0.0204011i	0.00448050	+	0.000891227i
$525$	1.38706	+	8.52364i	0.0605365	+	0.372002i
$526$		−	25.7844i		−	1.12425i
$527$	−18.9987	+	3.55556i	−0.827598	+	0.154883i
$528$	−4.21457	−	4.21457i	−0.183416	−	0.183416i
$529$	−4.52356	−	10.9208i	−0.196677	−	0.474819i
$530$	−9.80190	−	3.16188i	−0.425767	−	0.137343i
$531$	14.3595	−	14.3595i	0.623147	−	0.623147i
$532$	4.00703	+	0.797048i	0.173727	+	0.0345564i
$533$	−43.1440	−	28.8279i	−1.86878	−	1.24868i
$534$	12.4182	+	8.29757i	0.537387	+	0.359071i
$535$	7.98887	+	28.0984i	0.345389	+	1.21480i
$536$	2.50074	+	1.03584i	0.108016	+	0.0447416i
$537$	−8.23460	+	1.63796i	−0.355349	+	0.0706833i
$538$	−15.3703	+	23.0032i	−0.662659	+	0.991740i
$539$	−13.4668	−	20.1545i	−0.580055	−	0.868114i
$540$	1.31345	−	11.3024i	0.0565217	−	0.486377i
$541$	1.43320	−	7.20520i	0.0616182	−	0.309776i	−0.937669	−	0.347530i	$-0.887020\pi$
$541$	1.43320	−	7.20520i	0.0616182	−	0.309776i	0.999287	+	0.0377544i	$0.0120205\pi$
$542$	−1.07154	−	0.443848i	−0.0460268	−	0.0190649i
$543$	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
$547$	−24.2504	+	16.2036i	−1.03687	+	0.692815i	−0.952786	−	0.303643i	$-0.901797\pi$
$547$	−24.2504	+	16.2036i	−1.03687	+	0.692815i	−0.0840855	+	0.996459i	$0.526797\pi$
$548$	−5.77884			−0.246860
$549$	7.10873	−	4.74990i	0.303393	−	0.202721i
$550$	−21.1535	+	19.7210i	−0.901988	+	0.840906i
$551$	9.04021	−	13.5296i	0.385126	−	0.576382i
$552$	−1.31851	−	3.18316i	−0.0561195	−	0.135484i
$553$	2.94556	+	7.11121i	0.125258	+	0.302399i
$554$	12.2040	−	18.2646i	0.518498	−	0.775988i
$555$	−0.304151	−	3.76266i	−0.0129105	−	0.159716i
$556$	−1.36464	+	0.911821i	−0.0578735	+	0.0386698i
$557$	7.32927			0.310551			0.155275	−	0.987871i	$-0.450373\pi$
$557$	7.32927			0.310551			0.155275	+	0.987871i	$0.450373\pi$
$558$	−7.55450	+	5.04776i	−0.319808	+	0.213689i
$559$	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
$563$	28.6219	+	11.8556i	1.20627	+	0.499653i	0.893019	−	0.450018i	$-0.148583\pi$
$563$	28.6219	+	11.8556i	1.20627	+	0.499653i	0.313249	+	0.949671i	$0.398583\pi$
$564$	−0.510972	+	2.56883i	−0.0215158	+	0.108167i
$565$	−15.3755	−	1.78679i	−0.646853	−	0.0751706i
$566$	10.6808	+	15.9849i	0.448947	+	0.671897i
$567$	0.531486	−	0.795425i	0.0223203	−	0.0334047i
$568$	−8.05408	+	1.60206i	−0.337942	+	0.0672208i
$569$	−25.5509	−	10.5835i	−1.07115	−	0.443684i	−0.223752	−	0.974646i	$-0.571831\pi$
$569$	−25.5509	−	10.5835i	−1.07115	−	0.443684i	−0.847396	+	0.530962i	$0.821831\pi$
$570$	2.73400	−	4.90626i	0.114515	−	0.205501i
$571$	19.2218	+	12.8436i	0.804406	+	0.537487i	0.888449	−	0.458975i	$-0.151783\pi$
$571$	19.2218	+	12.8436i	0.804406	+	0.537487i	−0.0840429	+	0.996462i	$0.526783\pi$
$572$	22.2395	+	14.8600i	0.929881	+	0.621326i
$573$	17.8283	+	3.54627i	0.744788	+	0.148147i
$574$	−13.2987	+	13.2987i	−0.555078	+	0.555078i
$575$	−15.6598	+	5.85272i	−0.653059	+	0.244075i
$576$	−0.741692	−	1.79060i	−0.0309038	−	0.0746084i
$577$	−24.6305	−	24.6305i	−1.02538	−	1.02538i	−0.999669	−	0.0257102i	$-0.991815\pi$
$577$	−24.6305	−	24.6305i	−1.02538	−	1.02538i	−0.0257102	−	0.999669i	$-0.508185\pi$
$578$	−6.14768	−	15.8495i	−0.255710	−	0.659251i
$579$			3.26156i			0.135546i
$580$	14.3579	−	4.08222i	0.596180	−	0.169505i
$581$	10.0718	+	2.00341i	0.417849	+	0.0831153i
$582$		−	9.83961i		−	0.407865i
$583$	−5.19745	+	26.1294i	−0.215256	+	1.08217i
$584$	−1.06890	−	5.37374i	−0.0442315	−	0.222367i
$585$	1.61471	+	19.9756i	0.0667600	+	0.825889i
$586$	−0.183904	+	0.443983i	−0.00759700	+	0.0183408i
$587$	−10.2452	+	4.24371i	−0.422866	+	0.175157i	−0.583960	−	0.811782i	$-0.698498\pi$
$587$	−10.2452	+	4.24371i	−0.422866	+	0.175157i	0.161095	+	0.986939i	$0.448498\pi$
$588$	0.842484	+	4.23545i	0.0347434	+	0.174667i
$589$	−11.2073	+	2.22928i	−0.461791	+	0.0918558i
$590$	22.2976	+	7.19274i	0.917979	+	0.296120i
$591$	14.6291	+	14.6291i	0.601761	+	0.601761i
$592$	−0.910181	−	1.36218i	−0.0374082	−	0.0559854i
$593$	−17.6804	+	42.6843i	−0.726048	+	1.75283i	−0.0707122	+	0.997497i	$0.522527\pi$
$593$	−17.6804	+	42.6843i	−0.726048	+	1.75283i	−0.655336	+	0.755338i	$0.727473\pi$
$594$	−29.4328			−1.20764
$595$	13.4122	+	7.67457i	0.549848	+	0.314627i
$596$	10.8551			0.444643
$597$	2.25992	−	5.45593i	0.0924923	−	0.223296i
$598$	8.58999	+	12.8558i	0.351271	+	0.525714i
$599$	29.0498	+	29.0498i	1.18694	+	1.18694i	0.977908	+	0.209035i	$0.0670324\pi$
$599$	29.0498	+	29.0498i	1.18694	+	1.18694i	0.209035	+	0.977908i	$0.432968\pi$
$600$	4.82628	−	1.80378i	0.197032	−	0.0736391i
$601$	−13.6083	+	2.70685i	−0.555093	+	0.110415i	−0.464662	−	0.885488i	$-0.653824\pi$
$601$	−13.6083	+	2.70685i	−0.555093	+	0.110415i	−0.0904304	+	0.995903i	$0.528824\pi$
$602$	−3.49413	−	17.5662i	−0.142410	−	0.715943i
$603$	4.84678	−	2.00760i	0.197376	−	0.0817558i
$604$	−3.20221	+	7.73081i	−0.130296	+	0.314562i
$605$	38.2505	+	32.5291i	1.55511	+	1.32250i
$606$	1.75998	+	8.84801i	0.0714942	+	0.359426i
$607$	−5.01159	+	25.1950i	−0.203414	+	1.02263i	0.735249	+	0.677797i	$0.237065\pi$
$607$	−5.01159	+	25.1950i	−0.203414	+	1.02263i	−0.938663	+	0.344835i	$0.887935\pi$
$608$		−	2.43755i		−	0.0988556i
$609$	−11.3081	−	2.24933i	−0.458229	−	0.0911474i
$610$	8.61637	+	4.80144i	0.348867	+	0.194405i
$611$		−	11.7536i		−	0.475501i
$612$	−5.58613	−	5.71431i	−0.225806	−	0.230987i
$613$	−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
$615$	11.7868	+	23.0123i	0.475291	+	0.927945i
$616$	6.85511	−	6.85511i	0.276200	−	0.276200i
$617$	15.2937	+	3.04210i	0.615699	+	0.122470i	0.493081	−	0.869984i	$-0.335871\pi$
$617$	15.2937	+	3.04210i	0.615699	+	0.122470i	0.122619	+	0.992454i	$0.460871\pi$
$618$	7.54838	+	5.04366i	0.303640	+	0.202886i
$619$	10.5371	+	7.04064i	0.423520	+	0.282987i	0.749010	−	0.662558i	$-0.230529\pi$
$619$	10.5371	+	7.04064i	0.423520	+	0.282987i	−0.325490	+	0.945545i	$0.605529\pi$
$620$	−9.15668	−	5.10253i	−0.367741	−	0.204923i
$621$	−15.7189	−	6.51097i	−0.630777	−	0.261276i
$622$	15.8694	−	3.15661i	0.636303	−	0.126569i
$623$	−13.4962	+	20.1985i	−0.540714	+	0.809236i
$624$	−2.64740	−	3.96211i	−0.105981	−	0.158611i
$625$	−7.92667	−	23.7101i	−0.317067	−	0.948403i
$626$	−0.858633	+	4.31664i	−0.0343179	+	0.172528i
$627$	−13.4226	−	5.55983i	−0.536048	−	0.222038i
$628$	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	−0.0740843	−	0.997252i	$-0.523603\pi$
$631$	14.5366	−	6.02127i	0.578694	−	0.239703i	0.652778	+	0.757549i	$0.273603\pi$
$632$	3.81838	−	2.55136i	0.151887	−	0.101488i
$633$	−19.8363			−0.788422
$634$	−26.6975	+	17.8387i	−1.06029	+	0.708465i
$635$	−20.0212	+	23.5426i	−0.794517	+	0.934261i
$636$	2.63691	−	3.94641i	0.104560	−	0.156485i
$637$	−7.41610	−	17.9041i	−0.293837	−	0.709384i
$638$	−14.7761	−	35.6727i	−0.584992	−	1.41230i
$639$	−8.84229	+	13.2334i	−0.349795	+	0.523506i
$640$	1.44860	−	1.70339i	0.0572611	−	0.0673325i
$641$	−16.6671	+	11.1366i	−0.658310	+	0.439869i	−0.839338	−	0.543609i	$-0.817057\pi$
$641$	−16.6671	+	11.1366i	−0.658310	+	0.439869i	0.181029	+	0.983478i	$0.442057\pi$
$642$	−13.4620			−0.531305
$643$	−24.1017	+	16.1042i	−0.950477	+	0.635089i	−0.931116	−	0.364724i	$-0.881163\pi$
$643$	−24.1017	+	16.1042i	−0.950477	+	0.635089i	−0.0193615	+	0.999813i	$0.506163\pi$
$644$	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	$0.249065\pi$
$648$	−0.527318	−	0.218422i	−0.0207150	−	0.00858044i
$649$	11.8233	−	59.4398i	0.464105	−	2.33321i
$650$	−19.6629	+	12.1644i	−0.771242	+	0.477125i
$651$	4.49827	+	6.73213i	0.176301	+	0.263853i
$652$	5.56177	−	8.32378i	0.217816	−	0.325984i
$653$	−33.1552	+	6.59498i	−1.29746	+	0.258082i	−0.795049	−	0.606545i	$-0.792555\pi$
$653$	−33.1552	+	6.59498i	−1.29746	+	0.258082i	−0.502415	+	0.864627i	$0.667555\pi$
$654$	9.07002	+	3.75692i	0.354666	+	0.146907i
$655$	0.204259	+	0.113823i	0.00798105	+	0.00444741i
$656$	9.32987	+	6.23402i	0.364270	+	0.243398i
$657$	−8.82943	−	5.89964i	−0.344469	−	0.230167i
$658$	−4.17827	−	0.831109i	−0.162886	−	0.0324000i
$659$	−33.1839	+	33.1839i	−1.29266	+	1.29266i	−0.359529	+	0.933134i	$0.617063\pi$
$659$	−33.1839	+	33.1839i	−1.29266	+	1.29266i	−0.933134	+	0.359529i	$0.882937\pi$
$660$	−6.07578	−	11.8622i	−0.236499	−	0.461735i
$661$	5.69800	+	13.7562i	0.221626	+	0.535054i	0.995111	−	0.0987614i	$-0.0314881\pi$
$661$	5.69800	+	13.7562i	0.221626	+	0.535054i	−0.773485	+	0.633815i	$0.781488\pi$
$662$	−1.30386	−	1.30386i	−0.0506761	−	0.0506761i
$663$	−16.2113	−	11.1001i	−0.629596	−	0.431091i
$664$		−	6.12686i		−	0.237768i
$665$	7.98016	+	4.44692i	0.309457	+	0.172444i
$666$	−3.11420	−	0.619453i	−0.120673	−	0.0240033i
$667$		−	22.3201i		−	0.864236i
$668$	2.47386	−	12.4369i	0.0957166	−	0.481200i
$669$	0.867735	+	4.36240i	0.0335486	+	0.168660i
$670$	4.61072	+	3.92106i	0.178128	+	0.151484i
$671$	9.76417	−	23.5728i	0.376941	−	0.910017i
$672$	−1.59568	+	0.660953i	−0.0615547	+	0.0254968i
$673$	4.22906	+	21.2609i	0.163018	+	0.819547i	0.972590	+	0.232527i	$0.0746993\pi$
$673$	4.22906	+	21.2609i	0.163018	+	0.819547i	−0.809572	+	0.587021i	$0.800301\pi$
$674$	12.2973	−	2.44609i	0.473675	−	0.0942198i
$675$	10.5539	−	23.1508i	0.406221	−	0.891074i
$676$	5.92842	+	5.92842i	0.228016	+	0.228016i
$677$	−9.70254	−	14.5209i	−0.372899	−	0.558083i	0.596799	−	0.802391i	$-0.296439\pi$
$677$	−9.70254	−	14.5209i	−0.372899	−	0.558083i	−0.969698	+	0.244308i	$0.921439\pi$
$678$	2.72981	−	6.59034i	0.104838	−	0.253101i
$679$	16.0044			0.614192
$680$	2.92975	−	8.74166i	0.112351	−	0.335227i
$681$	20.2705			0.776766
$682$	−10.3765	+	25.0510i	−0.397335	+	0.959252i
$683$	2.62322	+	3.92593i	0.100375	+	0.150222i	0.878258	−	0.478188i	$-0.158706\pi$
$683$	2.62322	+	3.92593i	0.100375	+	0.150222i	−0.777883	+	0.628410i	$0.783706\pi$
$684$	−3.34058	−	3.34058i	−0.127730	−	0.127730i
$685$	−12.2979	−	3.96703i	−0.469877	−	0.151572i
$686$	−18.3962	+	3.65924i	−0.702371	+	0.139710i
$687$	0.946682	+	4.75929i	0.0361182	+	0.181578i
$688$	−9.87239	+	4.08928i	−0.376381	+	0.155902i
$689$	−8.15090	+	19.6780i	−0.310525	+	0.749673i
$690$	−0.620739	−	7.67917i	−0.0236311	−	0.292341i
$691$	4.41342	+	22.1878i	0.167894	+	0.844062i	0.969289	+	0.245926i	$0.0790919\pi$
$691$	4.41342	+	22.1878i	0.167894	+	0.844062i	−0.801394	+	0.598136i	$0.795908\pi$
$692$	−1.38902	+	6.98306i	−0.0528025	+	0.265456i
$693$		−	18.7894i		−	0.713751i
$694$	−18.0345	−	3.58728i	−0.684580	−	0.136171i
$695$	−3.53001	+	1.00364i	−0.133901	+	0.0380704i
$696$			6.87894i			0.260746i
$697$	45.2709	+	9.53997i	1.71476	+	0.361352i
$698$	−0.559293	−	0.559293i	−0.0211695	−	0.0211695i
$699$	2.01248	+	4.85855i	0.0761189	+	0.183767i
$700$	2.93390	+	7.85007i	0.110891	+	0.296705i
$701$	34.8429	−	34.8429i	1.31600	−	1.31600i	0.399081	−	0.916916i	$-0.369329\pi$
$701$	34.8429	−	34.8429i	1.31600	−	1.31600i	0.916916	−	0.399081i	$-0.130671\pi$
$702$	−23.0790	−	4.59070i	−0.871060	−	0.173265i
$703$	−3.32038	−	2.21861i	−0.125231	−	0.0836765i
$704$	−4.80928	−	3.21346i	−0.181257	−	0.121112i
$705$	−2.85083	+	5.11592i	−0.107369	+	0.192677i
$706$	−20.3556	−	8.43155i	−0.766092	−	0.317326i
$707$	−14.3915	+	2.86265i	−0.541249	+	0.107661i
$708$	−5.99851	+	8.97740i	−0.225438	+	0.337391i
$709$	2.53326	+	3.79130i	0.0951387	+	0.142385i	0.875986	−	0.482337i	$-0.160212\pi$
$709$	2.53326	+	3.79130i	0.0951387	+	0.142385i	−0.780847	+	0.624723i	$0.785212\pi$
$710$	−18.2395	−	2.11961i	−0.684518	−	0.0795476i
$711$	1.73641	−	8.72951i	0.0651204	−	0.327382i
$712$	13.3904	+	5.54647i	0.501825	+	0.207863i
$713$	−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
$717$	−2.24395	+	1.49936i	−0.0838017	+	0.0559945i
$718$	26.1584			0.976223
$719$	−22.7552	+	15.2046i	−0.848627	+	0.567034i	−0.902096	−	0.431535i	$-0.857972\pi$
$719$	−22.7552	+	15.2046i	−0.848627	+	0.567034i	0.0534694	+	0.998569i	$0.482972\pi$
$720$	−0.349180	−	4.31971i	−0.0130132	−	0.160986i
$721$	−8.20365	+	12.2776i	−0.305520	+	0.457243i
$722$	4.99722	+	12.0644i	0.185977	+	0.448989i
$723$	−1.58426	−	3.82475i	−0.0589194	−	0.142244i
$724$	7.40659	−	11.0848i	0.275264	−	0.411962i
$725$	33.3572	+	1.16905i	1.23886	+	0.0434175i
$726$	−19.2400	+	12.8557i	−0.714062	+	0.477121i
$727$	44.6488			1.65593			0.827967	−	0.560777i	$-0.189498\pi$
$727$	44.6488			1.65593			0.827967	+	0.560777i	$0.189498\pi$
$728$	6.44447	−	4.30606i	0.238848	−	0.159593i
$729$	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
$733$	21.7778	+	9.02065i	0.804381	+	0.333185i	0.746710	−	0.665150i	$-0.231632\pi$
$733$	21.7778	+	9.02065i	0.804381	+	0.333185i	0.0576712	+	0.998336i	$0.481632\pi$
$734$	3.20087	−	16.0919i	0.118146	−	0.593961i
$735$	−1.11466	+	9.59175i	−0.0411147	+	0.353797i
$736$	−1.85758	−	2.78006i	−0.0684713	−	0.102475i
$737$	8.69814	−	13.0177i	0.320400	−	0.479513i
$738$	21.3298	−	4.24276i	0.785161	−	0.156178i
$739$	25.2821	+	10.4722i	0.930017	+	0.385226i	0.795685	−	0.605711i	$-0.207111\pi$
$739$	25.2821	+	10.4722i	0.930017	+	0.385226i	0.134332	+	0.990936i	$0.457111\pi$
$740$	−1.00184	−	3.52366i	−0.0368284	−	0.129532i
$741$	−9.65782	−	6.45315i	−0.354789	−	0.237062i
$742$	6.41894	+	4.28900i	0.235647	+	0.157454i
$743$	−17.4435	−	3.46972i	−0.639939	−	0.127292i	−0.135553	−	0.990770i	$-0.543281\pi$
$743$	−17.4435	−	3.46972i	−0.639939	−	0.127292i	−0.504386	+	0.863478i	$0.668281\pi$
$744$	3.41582	−	3.41582i	0.125230	−	0.125230i
$745$	23.1006	+	7.45177i	0.846341	+	0.273012i
$746$	−0.329357	−	0.795138i	−0.0120586	−	0.0291121i
$747$	−8.39666	−	8.39666i	−0.307218	−	0.307218i
$748$	−23.3358	−	4.91758i	−0.853242	−	0.179805i
$749$		−	21.8964i		−	0.800076i
$750$	11.5090	−	0.525482i	0.420249	−	0.0191879i
$751$	−17.2734	−	3.43589i	−0.630314	−	0.125377i	−0.130413	−	0.991460i	$-0.541630\pi$
$751$	−17.2734	−	3.43589i	−0.630314	−	0.125377i	−0.499901	+	0.866082i	$0.666630\pi$
$752$			2.54171i			0.0926868i
$753$	−2.16441	+	10.8812i	−0.0788754	+	0.396534i
$754$	−6.02237	−	30.2765i	−0.219322	−	1.10260i
$755$	−12.1216	+	14.2536i	−0.441150	+	0.518742i
$756$	−3.26387	+	7.87968i	−0.118706	+	0.286581i
$757$	−0.525165	+	0.217531i	−0.0190875	+	0.00790628i	−0.392207	−	0.919877i	$-0.628288\pi$
$757$	−0.525165	+	0.217531i	−0.0190875	+	0.00790628i	0.373119	+	0.927783i	$0.378288\pi$
$758$	4.30738	+	21.6547i	0.156451	+	0.786533i
$759$	−19.5457	+	3.88788i	−0.709464	+	0.141121i
$760$	1.67332	−	5.18731i	0.0606976	−	0.188164i
$761$	−6.97045	−	6.97045i	−0.252679	−	0.252679i	0.569389	−	0.822068i	$-0.307180\pi$
$761$	−6.97045	−	6.97045i	−0.252679	−	0.252679i	−0.822068	+	0.569389i	$0.807180\pi$
$762$	−7.91251	−	11.8419i	−0.286640	−	0.428987i
$763$	−6.11073	+	14.7526i	−0.221223	+	0.534080i
$764$	17.6401			0.638196
$765$	−7.96503	−	15.9953i	−0.287976	−	0.578311i
$766$	30.3002			1.09479
$767$	18.5419	−	44.7641i	0.669509	−	1.61634i
$768$	0.572498	+	0.856804i	0.0206582	+	0.0309172i
$769$	36.4693	+	36.4693i	1.31512	+	1.31512i	0.917591	+	0.397525i	$0.130131\pi$
$769$	36.4693	+	36.4693i	1.31512	+	1.31512i	0.397525	+	0.917591i	$0.369869\pi$
$770$	19.2941	−	9.88241i	0.695312	−	0.356137i
$771$	−0.668987	+	0.133070i	−0.0240930	+	0.00479239i
$772$	0.617484	+	3.10430i	0.0222238	+	0.111726i
$773$	−4.65381	+	1.92767i	−0.167386	+	0.0693336i	−0.464803	−	0.885414i	$-0.653875\pi$
$773$	−4.65381	+	1.92767i	−0.167386	+	0.0693336i	0.297417	+	0.954748i	$0.403875\pi$
$774$	−7.92557	+	19.1340i	−0.284879	+	0.687758i
$775$	−15.9835	−	17.1445i	−0.574143	−	0.615847i
$776$	−1.86285	−	9.36520i	−0.0668726	−	0.336191i
$777$	−0.552021	+	2.77519i	−0.0198036	+	0.0995596i
$778$		−	30.9403i		−	1.10926i
$779$	26.8260	+	5.33603i	0.961142	+	0.191183i
$780$	−2.91400	−	10.2491i	−0.104338	−	0.366976i
$781$			47.4980i			1.69961i
$782$	−11.3749	−	7.78852i	−0.406765	−	0.278517i
$783$	24.0198	+	24.0198i	0.858398	+	0.858398i
$784$	1.60373	+	3.87174i	0.0572760	+	0.138276i
$785$	10.1817	−	5.21504i	0.363401	−	0.186133i
$786$	−0.0761970	+	0.0761970i	−0.00271786	+	0.00271786i
$787$	5.13427	+	1.02127i	0.183017	+	0.0364043i	0.285748	−	0.958305i	$-0.407758\pi$
$787$	5.13427	+	1.02127i	0.183017	+	0.0364043i	−0.102731	+	0.994709i	$0.532758\pi$
$788$	16.6934	+	11.1542i	0.594677	+	0.397351i
$789$	22.0921	+	14.7615i	0.786501	+	0.525523i
$790$	9.87728	−	2.80829i	0.351418	−	0.0999144i
$791$	10.7194	+	4.44011i	0.381137	+	0.157872i
$792$	−10.9949	+	2.18702i	−0.390687	+	0.0777125i
$793$	11.3330	−	16.9611i	0.402447	−	0.602305i
$794$	−6.08149	−	9.10159i	−0.215824	−	0.323003i
$795$	8.32068	−	6.58813i	0.295104	−	0.233657i
$796$	1.11803	−	5.62073i	0.0396276	−	0.199221i
$797$	−21.0345	−	8.71279i	−0.745081	−	0.308623i	−0.0223483	−	0.999750i	$-0.507114\pi$
$797$	−21.0345	−	8.71279i	−0.745081	−	0.308623i	−0.722733	+	0.691128i	$0.757114\pi$
$798$	−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
$802$	12.1334	−	8.10725i	0.428444	−	0.286277i
$803$	−31.6910			−1.11835
$804$	−2.31918	+	1.54963i	−0.0817913	+	0.0546512i
$805$	12.4904	−	1.00965i	0.440227	−	0.0355854i
$806$	−12.0437	+	18.0247i	−0.424221	+	0.634892i
$807$	−10.9098	−	26.3386i	−0.384043	−	0.927163i
$808$	3.35024	+	8.08820i	0.117861	+	0.284542i
$809$	10.5409	−	15.7756i	0.370598	−	0.554640i	−0.598560	−	0.801078i	$-0.704260\pi$
$809$	10.5409	−	15.7756i	0.370598	−	0.554640i	0.969159	+	0.246438i	$0.0792602\pi$
$810$	−0.972237	−	0.826812i	−0.0341609	−	0.0290512i
$811$	−38.9732	+	26.0410i	−1.36853	+	0.914424i	−0.999885	−	0.0151451i	$-0.995179\pi$
$811$	−38.9732	+	26.0410i	−1.36853	+	0.914424i	−0.368647	+	0.929569i	$0.620179\pi$
$812$	−11.1888			−0.392649
$813$	0.993748	−	0.664001i	0.0348523	−	0.0232875i
$814$	−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
$818$	2.17534	+	0.901056i	0.0760590	+	0.0315047i
$819$	2.93063	−	14.7332i	0.102404	−	0.514821i
$820$	15.5753	+	19.6713i	0.543912	+	0.686950i
$821$	−15.3189	−	22.9263i	−0.534632	−	0.800133i	0.461580	−	0.887099i	$-0.347283\pi$
$821$	−15.3189	−	22.9263i	−0.534632	−	0.800133i	−0.996211	+	0.0869661i	$0.972283\pi$
$822$	3.30837	−	4.95133i	0.115393	−	0.172697i
$823$	14.5340	−	2.89100i	0.506624	−	0.100774i	0.0648408	−	0.997896i	$-0.479346\pi$
$823$	14.5340	−	2.89100i	0.506624	−	0.100774i	0.441783	+	0.897122i	$0.354346\pi$
$824$	8.13931	+	3.37141i	0.283546	+	0.117449i
$825$	−4.78668	−	29.4146i	−0.166651	−	1.02409i
$826$	−14.6020	−	9.75672i	−0.508067	−	0.339480i
$827$	−8.00167	−	5.34655i	−0.278245	−	0.185918i	0.408615	−	0.912707i	$-0.366012\pi$
$827$	−8.00167	−	5.34655i	−0.278245	−	0.185918i	−0.686861	+	0.726789i	$0.741012\pi$
$828$	−6.35574	−	1.26424i	−0.220877	−	0.0439352i
$829$	17.9667	−	17.9667i	0.624011	−	0.624011i	−0.322544	−	0.946555i	$-0.604538\pi$
$829$	17.9667	−	17.9667i	0.624011	−	0.624011i	0.946555	+	0.322544i	$0.104538\pi$
$830$	4.20594	−	13.0385i	0.145990	−	0.452572i
$831$	8.66239	+	20.9129i	0.300495	+	0.725459i
$832$	−3.26987	−	3.26987i	−0.113362	−	0.113362i
$833$	12.0786	+	12.3558i	0.418500	+	0.428103i
$834$		−	1.69124i		−	0.0585629i
$835$	13.8023	−	24.7687i	0.477647	−	0.857155i
$836$	−13.8280	−	2.75057i	−0.478253	−	0.0951304i
$837$		−	23.8547i		−	0.824538i
$838$	5.33045	−	26.7980i	0.184137	−	0.925720i
$839$	1.70308	+	8.56197i	0.0587969	+	0.295592i	0.998984	−	0.0450665i	$-0.0143500\pi$
$839$	1.70308	+	8.56197i	0.0587969	+	0.295592i	−0.940187	+	0.340659i	$0.889350\pi$
$840$	−3.84947	+	0.311169i	−0.132819	+	0.0107363i
$841$	−5.95566	+	14.3782i	−0.205368	+	0.495801i
$842$	−9.51613	+	3.94171i	−0.327947	+	0.135840i
$843$	−6.38918	−	32.1206i	−0.220055	−	1.10629i
$844$	−18.8799	+	3.75544i	−0.649873	+	0.129268i
$845$	8.54648	+	16.6859i	0.294008	+	0.574013i
$846$	3.48334	+	3.48334i	0.119760	+	0.119760i
$847$	−20.9102	−	31.2943i	−0.718482	−	1.07528i
$848$	1.76263	−	4.25536i	0.0605289	−	0.146130i
$849$	−19.8107			−0.679900
$850$	12.2357	−	16.5918i	0.419681	−	0.569094i
$851$	−5.47769			−0.187773
$852$	3.23829	−	7.81793i	0.110942	−	0.267838i
$853$	1.05729	+	1.58234i	0.0362009	+	0.0541784i	0.849129	−	0.528186i	$-0.177128\pi$
$853$	1.05729	+	1.58234i	0.0362009	+	0.0541784i	−0.812928	+	0.582365i	$0.802128\pi$
$854$	−5.22808	−	5.22808i	−0.178901	−	0.178901i
$855$	−4.81582	−	9.40227i	−0.164697	−	0.321551i
$856$	−12.8130	+	2.54866i	−0.437939	+	0.0871114i
$857$	−5.24173	−	26.3520i	−0.179054	−	0.900166i	−0.960943	−	0.276748i	$-0.910743\pi$
$857$	−5.24173	−	26.3520i	−0.179054	−	0.900166i	0.781888	−	0.623418i	$-0.214257\pi$
$858$	−25.4641	+	10.5476i	−0.869331	+	0.360089i
$859$	3.39558	−	8.19765i	0.115856	−	0.279700i	−0.855306	−	0.518124i	$-0.826631\pi$
$859$	3.39558	−	8.19765i	0.115856	−	0.279700i	0.971161	+	0.238424i	$0.0766306\pi$
$860$	−23.8165	+	1.92519i	−0.812136	+	0.0656483i
$861$	−3.78090	−	19.0079i	−0.128853	−	0.647787i
$862$	−3.36683	+	16.9262i	−0.114675	+	0.576509i
$863$		−	25.2274i		−	0.858750i	−0.903126	−	0.429375i	$-0.858734\pi$
$863$		−	25.2274i		−	0.858750i	0.903126	−	0.429375i	$-0.141266\pi$
$864$	4.99082	+	0.992735i	0.169791	+	0.0337735i
$865$	−7.74965	+	13.9070i	−0.263496	+	0.472853i
$866$			25.6450i			0.871453i
$867$	17.0994	+	3.80643i	0.580727	+	0.129273i
$868$	5.55593	+	5.55593i	0.188580	+	0.188580i
$869$	−10.1650	−	24.5404i	−0.344823	−	0.832476i
$870$	−4.72222	+	14.6390i	−0.160098	+	0.496308i
$871$	8.85083	−	8.85083i	0.299899	−	0.299899i
$872$	9.34398	+	1.85863i	0.316427	+	0.0629413i
$873$	−15.3877	−	10.2817i	−0.520794	−	0.347984i
$874$	−6.77654	−	4.52794i	−0.229220	−	0.153160i
$875$	0.854710	+	18.7197i	0.0288945	+	0.632841i
$876$	5.21618	+	2.16061i	0.176239	+	0.0730004i
$877$	4.89051	−	0.972782i	0.165141	−	0.0328485i	−0.111827	−	0.993728i	$-0.535670\pi$
$877$	4.89051	−	0.972782i	0.165141	−	0.0328485i	0.276968	+	0.960879i	$0.410670\pi$
$878$	19.5608	−	29.2748i	0.660144	−	0.987975i
$879$	−0.275122	−	0.411749i	−0.00927963	−	0.0138879i
$880$	−8.02861	−	10.1400i	−0.270644	−	0.341818i
$881$	−3.49273	+	17.5592i	−0.117673	+	0.591583i	0.876282	+	0.481798i	$0.160016\pi$
$881$	−3.49273	+	17.5592i	−0.117673	+	0.591583i	−0.993955	+	0.109785i	$0.964984\pi$
$882$	7.50395	+	3.10824i	0.252671	+	0.104660i
$883$	11.6480	−	11.6480i	0.391987	−	0.391987i	−0.483408	−	0.875395i	$-0.660601\pi$
$883$	11.6480	−	11.6480i	0.391987	−	0.391987i	0.875395	+	0.483408i	$0.160601\pi$
$884$	−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
$887$	13.6871	−	9.14546i	0.459569	−	0.307074i	−0.304149	−	0.952625i	$-0.598372\pi$
$887$	13.6871	−	9.14546i	0.459569	−	0.307074i	0.763718	+	0.645550i	$0.223372\pi$
$888$	1.68820			0.0566523
$889$	19.2612	−	12.8699i	0.645999	−	0.431642i
$890$	24.6883	+	20.9955i	0.827555	+	0.703771i
$891$	−1.83413	+	2.74497i	−0.0614457	+	0.0919599i
$892$	1.65180	+	3.98779i	0.0553062	+	0.133521i
$893$	2.37093	+	5.72394i	0.0793403	+	0.191544i
$894$	−6.21453	+	9.30070i	−0.207845	+	0.311062i
$895$	−18.1595	+	1.46791i	−0.607006	+	0.0490668i
$896$	−1.39361	+	0.931182i	−0.0465573	+	0.0311086i
$897$	−15.9327			−0.531976
$898$	−2.92263	+	1.95284i	−0.0975295	+	0.0651672i
$899$	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
$903$	17.0511	+	7.06281i	0.567426	+	0.235036i
$904$	1.35050	−	6.78941i	0.0449169	−	0.225812i
$905$	23.3713	−	18.5049i	0.776888	−	0.615122i
$906$	−4.79053	−	7.16953i	−0.159155	−	0.238192i
$907$	−24.6476	+	36.8877i	−0.818409	+	1.22484i	0.153189	+	0.988197i	$0.451046\pi$
$907$	−24.6476	+	36.8877i	−0.818409	+	1.22484i	−0.971598	+	0.236639i	$0.923954\pi$
$908$	19.2931	−	3.83764i	0.640265	−	0.127357i
$909$	15.6760	+	6.49322i	0.519941	+	0.215367i
$910$	16.6704	−	4.73969i	0.552618	−	0.157119i
$911$	−18.3469	−	12.2590i	−0.607860	−	0.406159i	0.213194	−	0.977010i	$-0.431613\pi$
$911$	−18.3469	−	12.2590i	−0.607860	−	0.406159i	−0.821054	+	0.570851i	$0.806613\pi$
$912$	2.08850	+	1.39549i	0.0691571	+	0.0462093i
$913$	−34.7573	−	6.91365i	−1.15030	−	0.228808i
$914$	−24.4174	+	24.4174i	−0.807655	+	0.807655i
$915$	−9.04675	+	4.63372i	−0.299076	+	0.153186i
$916$	1.80208	+	4.35060i	0.0595423	+	0.143748i
$917$	−0.123936	−	0.123936i	−0.00409274	−	0.00409274i
$918$	20.6228	−	3.85949i	0.680653	−	0.127382i
$919$			51.7535i			1.70719i	0.520937	+	0.853595i	$0.325583\pi$
$919$			51.7535i			1.70719i	−0.520937	+	0.853595i	$0.674417\pi$
$920$	−2.04464	−	7.19140i	−0.0674099	−	0.237093i
$921$	−15.0954	−	3.00267i	−0.497412	−	0.0989414i
$922$		−	0.0102298i		−	0.000336901i
$923$	−7.40837	+	37.2444i	−0.243849	+	1.22591i
$924$	1.94895	+	9.79802i	0.0641157	+	0.322331i
$925$	0.286903	−	8.18639i	0.00943333	−	0.269167i
$926$	5.70309	−	13.7685i	0.187415	−	0.452461i
$927$	15.7751	−	6.53425i	0.518121	−	0.214613i
$928$	1.30233	+	6.54728i	0.0427512	+	0.214925i
$929$	−29.4582	+	5.85961i	−0.966493	+	0.192247i	−0.653013	−	0.757347i	$-0.726495\pi$
$929$	−29.4582	+	5.85961i	−0.966493	+	0.192247i	−0.313481	+	0.949595i	$0.601495\pi$
$930$	9.61405	−	4.92429i	0.315257	−	0.161474i
$931$	7.22319	+	7.22319i	0.236731	+	0.236731i
$932$	2.83528	+	4.24329i	0.0928726	+	0.138994i
$933$	−6.38058	+	15.4041i	−0.208891	+	0.504307i
$934$	8.13547			0.266201
$935$	−46.2849	−	26.4845i	−1.51368	−	0.866136i
$936$	−8.96249			−0.292948
$937$	−4.34223	+	10.4831i	−0.141854	+	0.342467i	−0.978800	−	0.204820i	$-0.934339\pi$
$937$	−4.34223	+	10.4831i	−0.141854	+	0.342467i	0.836945	+	0.547286i	$0.184339\pi$
$938$	−2.52051	−	3.77221i	−0.0822976	−	0.123167i
$939$	−3.20695	−	3.20695i	−0.104655	−	0.104655i
$940$	−1.74482	+	5.40899i	−0.0569099	+	0.176422i
$941$	5.10737	−	1.01592i	0.166495	−	0.0331180i	−0.111139	−	0.993805i	$-0.535450\pi$
$941$	5.10737	−	1.01592i	0.166495	−	0.0331180i	0.277634	+	0.960687i	$0.410450\pi$
$942$	1.02848	+	5.17051i	0.0335096	+	0.168464i
$943$	34.6620	−	14.3575i	1.12875	−	0.467543i
$944$	−4.00967	+	9.68021i	−0.130504	+	0.315064i
$945$	−12.3550	+	14.5281i	−0.401909	+	0.472599i
$946$	12.0580	+	60.6198i	0.392041	+	1.97092i
$947$	−8.40059	+	42.2326i	−0.272983	+	1.37238i	0.564284	+	0.825581i	$0.309152\pi$
$947$	−8.40059	+	42.2326i	−0.272983	+	1.37238i	−0.837266	+	0.546795i	$0.815848\pi$
$948$			4.73224i			0.153696i
$949$	−24.8497	−	4.94292i	−0.806656	−	0.160454i
$950$	7.12192	−	9.89036i	0.231066	−	0.320886i
$951$		−	33.0871i		−	1.07292i
$952$	−3.90429	+	5.70210i	−0.126539	+	0.184806i
$953$	−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
$955$	37.5396	+	12.1095i	1.21475	+	0.391854i
$956$	−1.85189	+	1.85189i	−0.0598945	+	0.0598945i
$957$	39.0238	+	7.76231i	1.26146	+	0.250920i
$958$	−26.9223	−	17.9889i	−0.869820	−	0.581195i
$959$	8.05347	+	5.38115i	0.260060	+	0.173767i
$960$	0.630150	+	2.21636i	0.0203380	+	0.0715326i
$961$	8.33696	+	3.45328i	0.268934	+	0.111396i
$962$	−7.43033	+	1.47798i	−0.239563	+	0.0476521i
$963$	−14.0669	+	21.0526i	−0.453300	+	0.678412i
$964$	−2.23199	−	3.34041i	−0.0718876	−	0.107587i
$965$	−0.816968	+	7.03011i	−0.0262991	+	0.226307i
$966$	−1.12661	+	5.66387i	−0.0362482	+	0.182232i
$967$	−40.0683	−	16.5968i	−1.28851	−	0.533718i	−0.369968	−	0.929045i	$-0.620631\pi$
$967$	−40.0683	−	16.5968i	−1.28851	−	0.533718i	−0.918540	+	0.395327i	$0.870631\pi$
$968$	−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	−0.904023	−	0.427483i	$-0.859400\pi$
$971$	−38.6703	+	16.0178i	−1.24099	+	0.514034i	−0.336965	+	0.941517i	$0.609400\pi$
$972$	13.1821	−	8.80797i	0.422815	−	0.282516i
$973$	2.75085			0.0881881
$974$	−20.1855	+	13.4875i	−0.646784	+	0.432168i
$975$	0.834501	−	23.8113i	0.0267254	−	0.762572i
$976$	−2.45076	+	3.66782i	−0.0784469	+	0.117404i
$977$	−9.47693	−	22.8793i	−0.303194	−	0.731975i	−0.999893	−	0.0146115i	$-0.995349\pi$
$977$	−9.47693	−	22.8793i	−0.303194	−	0.731975i	0.696699	−	0.717363i	$-0.254651\pi$
$978$	3.94774	+	9.53069i	0.126235	+	0.304758i
$979$	46.5747	−	69.7039i	1.48853	−	2.22775i
$980$	0.755016	+	9.34032i	0.0241181	+	0.298366i
$981$	15.3528	−	10.2584i	0.490178	−	0.327526i
$982$	23.4871			0.749504
$983$	21.8065	−	14.5707i	0.695521	−	0.464732i	−0.156882	−	0.987617i	$-0.550144\pi$
$983$	21.8065	−	14.5707i	0.695521	−	0.464732i	0.852403	+	0.522885i	$0.175144\pi$
$984$	−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
$988$	−10.4139	−	4.31358i	−0.331310	−	0.137233i
$989$	−6.97030	+	35.0421i	−0.221643	+	1.11427i
$990$	−24.8994	−	2.89356i	−0.791356	−	0.0919633i
$991$	2.70814	+	4.05303i	0.0860271	+	0.128749i	0.871987	−	0.489528i	$-0.162831\pi$
$991$	2.70814	+	4.05303i	0.0860271	+	0.128749i	−0.785960	+	0.618277i	$0.787831\pi$
$992$	2.60444	−	3.89782i	0.0826911	−	0.123756i
$993$	1.86361	−	0.370696i	0.0591400	−	0.0117637i
$994$	12.7161	+	5.26717i	0.403329	+	0.167064i
$995$	6.23776	−	11.1939i	0.197750	−	0.354870i
$996$	5.24951	+	3.50761i	0.166337	+	0.111143i
$997$	21.9375	+	14.6581i	0.694767	+	0.464228i	0.852142	−	0.523311i	$-0.175303\pi$
$997$	21.9375	+	14.6581i	0.694767	+	0.464228i	−0.157375	+	0.987539i	$0.550303\pi$
$998$	11.7939	+	2.34595i	0.373329	+	0.0742598i
$999$	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.o.a.3.2	✓	32
5.2	odd	4		170.2.r.a.37.2	yes	32
5.3	odd	4		850.2.v.c.207.3		32
5.4	even	2		850.2.s.c.343.3		32
17.6	odd	16		170.2.r.a.23.2	yes	32
85.23	even	16		850.2.s.c.57.3		32
85.57	even	16	inner	170.2.o.a.57.2	yes	32
85.74	odd	16		850.2.v.c.193.3		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.3.2	✓	32	1.1	even	1	trivial
170.2.o.a.57.2	yes	32	85.57	even	16	inner
170.2.r.a.23.2	yes	32	17.6	odd	16
170.2.r.a.37.2	yes	32	5.2	odd	4
850.2.s.c.57.3		32	85.23	even	16
850.2.s.c.343.3		32	5.4	even	2
850.2.v.c.193.3		32	85.74	odd	16
850.2.v.c.207.3		32	5.3	odd	4

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.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.572498 - 0.856804i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.01937 - 1.99020i) q^{5} +(1.01067 - 0.201035i) q^{6} +(0.326988 + 1.64388i) q^{7} +(0.923880 - 0.382683i) q^{8} +(0.741692 - 1.79060i) q^{9} +O(q^{10})\)	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.572498 - 0.856804i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-1.01937 - 1.99020i) q^{5} +(1.01067 - 0.201035i) q^{6} +(0.326988 + 1.64388i) q^{7} +(0.923880 - 0.382683i) q^{8} +(0.741692 - 1.79060i) q^{9} +(2.22880 - 0.180163i) q^{10} +(-1.12842 - 5.67293i) q^{11} +(-0.201035 + 1.01067i) q^{12} -4.62429i q^{13} +(-1.64388 - 0.326988i) q^{14} +(-1.12162 + 2.01279i) q^{15} +1.00000i q^{16} +(1.53454 + 3.82690i) q^{17} +(1.37047 + 1.37047i) q^{18} +(0.932809 + 2.25200i) q^{19} +(-0.686475 + 2.12809i) q^{20} +(1.22128 - 1.22128i) q^{21} +(5.67293 + 1.12842i) q^{22} +(2.78006 + 1.85758i) q^{23} +(-0.856804 - 0.572498i) q^{24} +(-2.92176 + 4.05750i) q^{25} +(4.27229 + 1.76964i) q^{26} +(-4.99082 + 0.992735i) q^{27} +(0.931182 - 1.39361i) q^{28} +(-3.70873 - 5.55051i) q^{29} +(-1.43035 - 1.80650i) q^{30} +(-0.914558 + 4.59779i) q^{31} +(-0.923880 - 0.382683i) 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} +(-1.36218 + 0.910181i) q^{37} -2.43755 q^{38} +(-3.96211 + 2.64740i) q^{39} +(-1.70339 - 1.44860i) q^{40} +(6.23402 - 9.32987i) q^{41} +(0.660953 + 1.59568i) q^{42} +(4.08928 + 9.87239i) q^{43} +(-3.21346 + 4.80928i) q^{44} +(-4.31971 + 0.349180i) q^{45} +(-2.78006 + 1.85758i) q^{46} +2.54171 q^{47} +(0.856804 - 0.572498i) 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} +(-4.25536 - 1.76263i) q^{53} +(0.992735 - 4.99082i) q^{54} +(-10.1400 + 8.02861i) q^{55} +(0.931182 + 1.39361i) q^{56} +(1.39549 - 2.08850i) q^{57} +(6.54728 - 1.30233i) q^{58} +(9.68021 + 4.00967i) q^{59} +(2.21636 - 0.630150i) q^{60} +(3.66782 + 2.45076i) q^{61} +(-3.89782 - 2.60444i) q^{62} +(3.18606 + 0.633746i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-9.20324 + 4.71388i) q^{65} +(-2.28091 - 5.50661i) q^{66} +(1.91399 + 1.91399i) q^{67} +(1.62095 - 3.79111i) q^{68} -3.44543i q^{69} +(1.02496 + 3.60496i) q^{70} +(-8.05408 - 1.60206i) q^{71} -1.93813i q^{72} +(1.06890 - 5.37374i) q^{73} +(-0.319613 - 1.60680i) q^{74} +(5.14918 + 0.180460i) q^{75} +(0.932809 - 2.25200i) q^{76} +(8.95664 - 3.70996i) q^{77} +(-0.929642 - 4.67362i) q^{78} +(4.50408 - 0.895917i) q^{79} +(1.99020 - 1.01937i) q^{80} +(-0.403592 - 0.403592i) q^{81} +(6.23402 + 9.32987i) q^{82} +(2.34465 - 5.66048i) q^{83} -1.72715 q^{84} +(6.05202 - 6.95507i) q^{85} -10.6858 q^{86} +(-2.63246 + 6.35531i) q^{87} +(-3.21346 - 4.80928i) q^{88} +(10.2485 + 10.2485i) q^{89} +(1.33048 - 4.12452i) q^{90} +(7.60177 - 1.51209i) q^{91} +(-0.652295 - 3.27931i) q^{92} +(4.46299 - 1.84863i) q^{93} +(-0.972672 + 2.34824i) q^{94} +(3.53104 - 4.15210i) q^{95} +(0.201035 + 1.01067i) q^{96} +(1.86285 - 9.36520i) q^{97} +4.19074i q^{98} +(-10.9949 - 2.18702i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q+O(q^{10}) \) 32 * q	\( 32 q + 8 q^{10} - 40 q^{15} + 16 q^{18} + 8 q^{20} - 8 q^{25} + 8 q^{26} - 72 q^{27} + 8 q^{28} + 8 q^{29} - 16 q^{31} - 64 q^{33} - 24 q^{34} + 32 q^{35} + 16 q^{37} + 32 q^{39} - 8 q^{40} + 16 q^{41} - 40 q^{42} + 48 q^{43} + 16 q^{44} + 24 q^{45} - 64 q^{47} + 16 q^{49} + 32 q^{50} + 32 q^{51} - 16 q^{52} - 24 q^{54} + 8 q^{55} + 8 q^{56} - 8 q^{57} - 16 q^{58} + 64 q^{59} - 48 q^{60} - 24 q^{61} - 24 q^{62} - 24 q^{63} - 16 q^{65} - 16 q^{67} - 16 q^{68} + 24 q^{70} + 8 q^{71} + 16 q^{73} - 8 q^{74} - 8 q^{75} + 40 q^{77} + 48 q^{78} - 72 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} - 8 q^{85} - 64 q^{86} + 24 q^{87} + 16 q^{88} - 16 q^{89} + 48 q^{90} + 48 q^{91} + 8 q^{92} + 8 q^{93} - 8 q^{94} + 40 q^{95} + 16 q^{97} + 64 q^{99}+O(q^{100}) \) 32 * q + 8 * q^10 - 40 * q^15 + 16 * q^18 + 8 * q^20 - 8 * q^25 + 8 * q^26 - 72 * q^27 + 8 * q^28 + 8 * q^29 - 16 * q^31 - 64 * q^33 - 24 * q^34 + 32 * q^35 + 16 * q^37 + 32 * q^39 - 8 * q^40 + 16 * q^41 - 40 * q^42 + 48 * q^43 + 16 * q^44 + 24 * q^45 - 64 * q^47 + 16 * q^49 + 32 * q^50 + 32 * q^51 - 16 * q^52 - 24 * q^54 + 8 * q^55 + 8 * q^56 - 8 * q^57 - 16 * q^58 + 64 * q^59 - 48 * q^60 - 24 * q^61 - 24 * q^62 - 24 * q^63 - 16 * q^65 - 16 * q^67 - 16 * q^68 + 24 * q^70 + 8 * q^71 + 16 * q^73 - 8 * q^74 - 8 * q^75 + 40 * q^77 + 48 * q^78 - 72 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 - 8 * q^85 - 64 * q^86 + 24 * q^87 + 16 * q^88 - 16 * q^89 + 48 * q^90 + 48 * q^91 + 8 * q^92 + 8 * q^93 - 8 * q^94 + 40 * q^95 + 16 * q^97 + 64 * q^99

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