LMFDB - Embedded newform 170.2.o.a.133.3

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			133.3
Character	$\chi$	$=$	170.133
Dual form			170.2.o.a.147.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 - 0.923880i) q^{2} +(1.02222 - 0.683024i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.554072 - 2.16633i) q^{5} +(-0.239846 - 1.20579i) q^{6} +(0.156756 - 0.0311808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.569643 + 1.37524i) q^{9} +O(q^{10})$	\(q+(0.382683 - 0.923880i) q^{2} +(1.02222 - 0.683024i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.554072 - 2.16633i) q^{5} +(-0.239846 - 1.20579i) q^{6} +(0.156756 - 0.0311808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.569643 + 1.37524i) q^{9} +(-2.21347 - 0.317125i) q^{10} +(1.18282 - 0.235277i) q^{11} +(-1.20579 - 0.239846i) q^{12} -0.898996i q^{13} +(0.0311808 - 0.156756i) q^{14} +(-2.04604 - 1.83602i) q^{15} +1.00000i q^{16} +(3.77744 + 1.65255i) q^{17} +(1.05256 + 1.05256i) q^{18} +(1.36748 + 3.30140i) q^{19} +(-1.14004 + 1.92362i) q^{20} +(0.138942 - 0.138942i) q^{21} +(0.235277 - 1.18282i) q^{22} +(2.98877 - 4.47302i) q^{23} +(-0.683024 + 1.02222i) q^{24} +(-4.38601 + 2.40061i) q^{25} +(-0.830564 - 0.344031i) q^{26} +(1.07656 + 5.41224i) q^{27} +(-0.132892 - 0.0887953i) q^{28} +(-0.512715 + 0.342585i) q^{29} +(-2.47925 + 1.18768i) q^{30} +(-6.58241 - 1.30932i) q^{31} +(0.923880 + 0.382683i) q^{32} +(1.04840 - 1.04840i) q^{33} +(2.97232 - 2.85750i) q^{34} +(-0.154402 - 0.322310i) q^{35} +(1.37524 - 0.569643i) q^{36} +(4.96965 + 7.43760i) q^{37} +3.57341 q^{38} +(-0.614036 - 0.918970i) q^{39} +(1.34092 + 1.78940i) q^{40} +(1.80709 + 1.20746i) q^{41} +(-0.0751948 - 0.181536i) q^{42} +(-0.109448 - 0.264230i) q^{43} +(-1.00274 - 0.670012i) q^{44} +(3.29485 + 0.472056i) q^{45} +(-2.98877 - 4.47302i) q^{46} -3.39159 q^{47} +(0.683024 + 1.02222i) q^{48} +(-6.44356 + 2.66901i) q^{49} +(0.539420 + 4.97082i) q^{50} +(4.99010 - 0.890822i) q^{51} +(-0.635686 + 0.635686i) q^{52} +(10.4692 + 4.33649i) q^{53} +(5.41224 + 1.07656i) q^{54} +(-1.16505 - 2.43202i) q^{55} +(-0.132892 + 0.0887953i) q^{56} +(3.65280 + 2.44073i) q^{57} +(0.120300 + 0.604789i) q^{58} +(-11.0653 - 4.58341i) q^{59} +(0.148506 + 2.74503i) q^{60} +(-1.26040 + 1.88632i) q^{61} +(-3.72864 + 5.58030i) q^{62} +(-0.0464141 + 0.233339i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-1.94753 + 0.498108i) q^{65} +(-0.567388 - 1.36980i) q^{66} +(-4.51742 - 4.51742i) q^{67} +(-1.50253 - 3.83958i) q^{68} -6.61380i q^{69} +(-0.356863 + 0.0193062i) q^{70} +(0.812232 - 4.08336i) q^{71} -1.48855i q^{72} +(-9.69275 - 1.92801i) q^{73} +(8.77325 - 1.74511i) q^{74} +(-2.84378 + 5.44970i) q^{75} +(1.36748 - 3.30140i) q^{76} +(0.178078 - 0.0737623i) q^{77} +(-1.08400 + 0.215621i) q^{78} +(-1.66430 - 8.36698i) q^{79} +(2.16633 - 0.554072i) q^{80} +(1.63948 + 1.63948i) q^{81} +(1.80709 - 1.20746i) q^{82} +(-0.0386735 + 0.0933661i) q^{83} -0.196494 q^{84} +(1.48700 - 9.09884i) q^{85} -0.286001 q^{86} +(-0.290113 + 0.700394i) q^{87} +(-1.00274 + 0.670012i) q^{88} +(-4.97941 - 4.97941i) q^{89} +(1.69701 - 2.86340i) q^{90} +(-0.0280314 - 0.140923i) q^{91} +(-5.27628 + 1.04952i) q^{92} +(-7.62296 + 3.15753i) q^{93} +(-1.29791 + 3.13342i) q^{94} +(6.39425 - 4.79164i) q^{95} +(1.20579 - 0.239846i) q^{96} +(8.62802 + 1.71622i) q^{97} +6.97446i q^{98} +(-0.350221 + 1.76068i) 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 $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{9}{16}\right)$	$e\left(\frac{3}{4}\right)$

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
$3$	1.02222	−	0.683024i	0.590178	−	0.394344i	−0.224316	−	0.974516i	$-0.572015\pi$
$3$	1.02222	−	0.683024i	0.590178	−	0.394344i	0.814494	+	0.580172i	$0.197015\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−0.554072	−	2.16633i	−0.247788	−	0.968814i
$5$	−0.554072	−	2.16633i	−0.247788	−	0.968814i
$6$	−0.239846	−	1.20579i	−0.0979168	−	0.492261i
$7$	0.156756	−	0.0311808i	0.0592483	−	0.0117852i	−0.165377	−	0.986230i	$-0.552884\pi$
$7$	0.156756	−	0.0311808i	0.0592483	−	0.0117852i	0.224625	+	0.974445i	$0.427884\pi$
$8$	−0.923880	+	0.382683i	−0.326641	+	0.135299i
$9$	−0.569643	+	1.37524i	−0.189881	+	0.458413i
$10$	−2.21347	−	0.317125i	−0.699959	−	0.100284i
$11$	1.18282	−	0.235277i	0.356633	−	0.0709387i	−0.0135226	−	0.999909i	$-0.504304\pi$
$11$	1.18282	−	0.235277i	0.356633	−	0.0709387i	0.370155	+	0.928970i	$0.379304\pi$
$12$	−1.20579	−	0.239846i	−0.348081	−	0.0692376i
$13$		−	0.898996i		−	0.249337i	−0.992198	−	0.124668i	$-0.960213\pi$
$13$		−	0.898996i		−	0.249337i	0.992198	−	0.124668i	$-0.0397867\pi$
$14$	0.0311808	−	0.156756i	0.00833341	−	0.0418949i
$15$	−2.04604	−	1.83602i	−0.528285	−	0.474059i
$16$			1.00000i			0.250000i
$17$	3.77744	+	1.65255i	0.916165	+	0.400802i
$17$	3.77744	+	1.65255i	0.916165	+	0.400802i
$18$	1.05256	+	1.05256i	0.248091	+	0.248091i
$19$	1.36748	+	3.30140i	0.313723	+	0.757393i	0.999561	+	0.0296390i	$0.00943578\pi$
$19$	1.36748	+	3.30140i	0.313723	+	0.757393i	−0.685838	+	0.727754i	$0.740564\pi$
$20$	−1.14004	+	1.92362i	−0.254921	+	0.430134i
$21$	0.138942	−	0.138942i	0.0303196	−	0.0303196i
$22$	0.235277	−	1.18282i	0.0501612	−	0.252177i
$23$	2.98877	−	4.47302i	0.623202	−	0.932688i	−0.376777	−	0.926304i	$-0.622968\pi$
$23$	2.98877	−	4.47302i	0.623202	−	0.932688i	0.999980	−	0.00638444i	$-0.00203224\pi$
$24$	−0.683024	+	1.02222i	−0.139422	+	0.208659i
$25$	−4.38601	+	2.40061i	−0.877202	+	0.480122i
$26$	−0.830564	−	0.344031i	−0.162887	−	0.0674700i
$27$	1.07656	+	5.41224i	0.207184	+	1.04159i
$28$	−0.132892	−	0.0887953i	−0.0251142	−	0.0167807i
$29$	−0.512715	+	0.342585i	−0.0952088	+	0.0636165i	−0.602263	−	0.798297i	$-0.705734\pi$
$29$	−0.512715	+	0.342585i	−0.0952088	+	0.0636165i	0.507055	+	0.861914i	$0.330734\pi$
$30$	−2.47925	+	1.18768i	−0.452647	+	0.216840i
$31$	−6.58241	−	1.30932i	−1.18224	−	0.235161i	−0.435442	−	0.900217i	$-0.643408\pi$
$31$	−6.58241	−	1.30932i	−1.18224	−	0.235161i	−0.746794	+	0.665055i	$0.768408\pi$
$32$	0.923880	+	0.382683i	0.163320	+	0.0676495i
$33$	1.04840	−	1.04840i	0.182502	−	0.182502i
$34$	2.97232	−	2.85750i	0.509749	−	0.490057i
$35$	−0.154402	−	0.322310i	−0.0260987	−	0.0544804i
$36$	1.37524	−	0.569643i	0.229207	−	0.0949405i
$37$	4.96965	+	7.43760i	0.817005	+	1.22273i	0.972038	+	0.234825i	$0.0754517\pi$
$37$	4.96965	+	7.43760i	0.817005	+	1.22273i	−0.155033	+	0.987909i	$0.549548\pi$
$38$	3.57341			0.579684
$39$	−0.614036	−	0.918970i	−0.0983245	−	0.147153i
$40$	1.34092	+	1.78940i	0.212017	+	0.282929i
$41$	1.80709	+	1.20746i	0.282220	+	0.188574i	0.688621	−	0.725121i	$-0.258216\pi$
$41$	1.80709	+	1.20746i	0.282220	+	0.188574i	−0.406401	+	0.913695i	$0.633216\pi$
$42$	−0.0751948	−	0.181536i	−0.0116028	−	0.0280117i
$43$	−0.109448	−	0.264230i	−0.0166906	−	0.0402947i	0.915315	−	0.402740i	$-0.131942\pi$
$43$	−0.109448	−	0.264230i	−0.0166906	−	0.0402947i	−0.932005	+	0.362445i	$0.881942\pi$
$44$	−1.00274	−	0.670012i	−0.151169	−	0.101008i
$45$	3.29485	+	0.472056i	0.491167	+	0.0703699i
$46$	−2.98877	−	4.47302i	−0.440671	−	0.659510i
$47$	−3.39159			−0.494715			−0.247357	−	0.968924i	$-0.579562\pi$
$47$	−3.39159			−0.494715			−0.247357	+	0.968924i	$0.579562\pi$
$48$	0.683024	+	1.02222i	0.0985861	+	0.147544i
$49$	−6.44356	+	2.66901i	−0.920508	+	0.381287i
$50$	0.539420	+	4.97082i	0.0762855	+	0.702980i
$51$	4.99010	−	0.890822i	0.698754	−	0.124740i
$52$	−0.635686	+	0.635686i	−0.0881538	+	0.0881538i
$53$	10.4692	+	4.33649i	1.43806	+	0.595663i	0.959326	−	0.282299i	$-0.0910971\pi$
$53$	10.4692	+	4.33649i	1.43806	+	0.595663i	0.478730	+	0.877962i	$0.341097\pi$
$54$	5.41224	+	1.07656i	0.736512	+	0.146501i
$55$	−1.16505	−	2.43202i	−0.157096	−	0.327933i
$56$	−0.132892	+	0.0887953i	−0.0177584	+	0.0118658i
$57$	3.65280	+	2.44073i	0.483826	+	0.323282i
$58$	0.120300	+	0.604789i	0.0157962	+	0.0794127i
$59$	−11.0653	−	4.58341i	−1.44058	−	0.596709i	−0.480643	−	0.876916i	$-0.659597\pi$
$59$	−11.0653	−	4.58341i	−1.44058	−	0.596709i	−0.959940	+	0.280207i	$0.909597\pi$
$60$	0.148506	+	2.74503i	0.0191720	+	0.354382i
$61$	−1.26040	+	1.88632i	−0.161377	+	0.241518i	−0.903342	−	0.428921i	$-0.858894\pi$
$61$	−1.26040	+	1.88632i	−0.161377	+	0.241518i	0.741965	+	0.670439i	$0.233894\pi$
$62$	−3.72864	+	5.58030i	−0.473537	+	0.708699i
$63$	−0.0464141	+	0.233339i	−0.00584763	+	0.0293980i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−1.94753	+	0.498108i	−0.241561	+	0.0617827i
$66$	−0.567388	−	1.36980i	−0.0698407	−	0.168610i
$67$	−4.51742	−	4.51742i	−0.551891	−	0.551891i	0.375095	−	0.926986i	$-0.377610\pi$
$67$	−4.51742	−	4.51742i	−0.551891	−	0.551891i	−0.926986	+	0.375095i	$0.877610\pi$
$68$	−1.50253	−	3.83958i	−0.182208	−	0.465618i
$69$		−	6.61380i		−	0.796208i
$70$	−0.356863	+	0.0193062i	−0.0426533	+	0.00230754i
$71$	0.812232	−	4.08336i	0.0963942	−	0.484606i	−0.902187	−	0.431346i	$-0.858039\pi$
$71$	0.812232	−	4.08336i	0.0963942	−	0.484606i	0.998581	−	0.0532600i	$-0.0169612\pi$
$72$		−	1.48855i		−	0.175427i
$73$	−9.69275	−	1.92801i	−1.13445	−	0.225656i	−0.408071	−	0.912950i	$-0.633799\pi$
$73$	−9.69275	−	1.92801i	−1.13445	−	0.225656i	−0.726380	+	0.687294i	$0.758799\pi$
$74$	8.77325	−	1.74511i	1.01987	−	0.202865i
$75$	−2.84378	+	5.44970i	−0.328372	+	0.629277i
$76$	1.36748	−	3.30140i	0.156861	−	0.378697i
$77$	0.178078	−	0.0737623i	0.0202939	−	0.00840599i
$78$	−1.08400	+	0.215621i	−0.122739	+	0.0244142i
$79$	−1.66430	−	8.36698i	−0.187248	−	0.941359i	−0.954089	−	0.299522i	$-0.903173\pi$
$79$	−1.66430	−	8.36698i	−0.187248	−	0.941359i	0.766841	−	0.641837i	$-0.221827\pi$
$80$	2.16633	−	0.554072i	0.242204	−	0.0619471i
$81$	1.63948	+	1.63948i	0.182165	+	0.182165i
$82$	1.80709	−	1.20746i	0.199560	−	0.133342i
$83$	−0.0386735	+	0.0933661i	−0.00424497	+	0.0102483i	−0.925988	−	0.377553i	$-0.876765\pi$
$83$	−0.0386735	+	0.0933661i	−0.00424497	+	0.0102483i	0.921743	+	0.387802i	$0.126765\pi$
$84$	−0.196494			−0.0214392
$85$	1.48700	−	9.09884i	0.161287	−	0.986907i
$86$	−0.286001			−0.0308402
$87$	−0.290113	+	0.700394i	−0.0311033	+	0.0750901i
$88$	−1.00274	+	0.670012i	−0.106893	+	0.0714235i
$89$	−4.97941	−	4.97941i	−0.527816	−	0.527816i	0.392105	−	0.919921i	$-0.371747\pi$
$89$	−4.97941	−	4.97941i	−0.527816	−	0.527816i	−0.919921	+	0.392105i	$0.871747\pi$
$90$	1.69701	−	2.86340i	0.178880	−	0.301829i
$91$	−0.0280314	−	0.140923i	−0.00293849	−	0.0147728i
$92$	−5.27628	+	1.04952i	−0.550090	+	0.109420i
$93$	−7.62296	+	3.15753i	−0.790464	+	0.327421i
$94$	−1.29791	+	3.13342i	−0.133869	+	0.323188i
$95$	6.39425	−	4.79164i	0.656036	−	0.491612i
$96$	1.20579	−	0.239846i	0.123065	−	0.0244792i
$97$	8.62802	+	1.71622i	0.876043	+	0.174256i	0.612575	−	0.790412i	$-0.290134\pi$
$97$	8.62802	+	1.71622i	0.876043	+	0.174256i	0.263468	+	0.964668i	$0.415134\pi$
$98$			6.97446i			0.704526i
$99$	−0.350221	+	1.76068i	−0.0351985	+	0.176955i
$100$	4.79886	+	1.40389i	0.479886	+	0.140389i
$101$		−	9.08408i		−	0.903899i	−0.892043	−	0.451950i	$-0.850729\pi$
$101$		−	9.08408i		−	0.903899i	0.892043	−	0.451950i	$-0.149271\pi$
$102$	1.08662	−	4.95116i	0.107591	−	0.490237i
$103$	−12.8514	−	12.8514i	−1.26629	−	1.26629i	−0.947992	−	0.318293i	$-0.896891\pi$
$103$	−12.8514	−	12.8514i	−1.26629	−	1.26629i	−0.318293	−	0.947992i	$-0.603109\pi$
$104$	0.344031	+	0.830564i	0.0337350	+	0.0814435i
$105$	−0.377978	−	0.224011i	−0.0368869	−	0.0218612i
$106$	8.01279	−	8.01279i	0.778271	−	0.778271i
$107$	1.05435	−	5.30056i	0.101927	−	0.512424i	−0.895765	−	0.444528i	$-0.853371\pi$
$107$	1.05435	−	5.30056i	0.101927	−	0.512424i	0.997692	−	0.0678960i	$-0.0216286\pi$
$108$	3.06579	−	4.58827i	0.295006	−	0.441507i
$109$	−10.0368	+	15.0211i	−0.961348	+	1.43876i	−0.0637386	+	0.997967i	$0.520302\pi$
$109$	−10.0368	+	15.0211i	−0.961348	+	1.43876i	−0.897609	+	0.440792i	$0.854698\pi$
$110$	−2.69274	+	0.145677i	−0.256742	+	0.0138897i
$111$	10.1601	+	4.20846i	0.964357	+	0.399450i
$112$	0.0311808	+	0.156756i	0.00294631	+	0.0148121i
$113$	13.9347	+	9.31087i	1.31087	+	0.875893i	0.997283	−	0.0736674i	$-0.0234703\pi$
$113$	13.9347	+	9.31087i	1.31087	+	0.875893i	0.313584	+	0.949561i	$0.398470\pi$
$114$	3.65280	−	2.44073i	0.342116	−	0.228595i
$115$	−11.3460	−	3.99631i	−1.05802	−	0.372658i
$116$	0.604789	+	0.120300i	0.0561532	+	0.0111696i
$117$	1.23633	+	0.512106i	0.114299	+	0.0473443i
$118$	−8.46903	+	8.46903i	−0.779638	+	0.779638i
$119$	0.643666	+	0.141264i	0.0590048	+	0.0129496i
$120$	2.59291	+	0.913277i	0.236699	+	0.0833704i
$121$	−8.81897	+	3.65294i	−0.801725	+	0.332085i
$122$	1.26040	+	1.88632i	0.114111	+	0.170779i
$123$	2.67197			0.240923
$124$	3.72864	+	5.58030i	0.334841	+	0.501126i
$125$	7.63068	+	8.17145i	0.682509	+	0.730877i
$126$	0.197816	+	0.132176i	0.0176228	+	0.0117752i
$127$	−4.95633	−	11.9656i	−0.439803	−	1.06178i	−0.976017	−	0.217696i	$-0.930146\pi$
$127$	−4.95633	−	11.9656i	−0.439803	−	1.06178i	0.536214	−	0.844082i	$-0.319854\pi$
$128$	−0.382683	−	0.923880i	−0.0338248	−	0.0816602i
$129$	−0.292355	−	0.195345i	−0.0257404	−	0.0171992i
$130$	−0.285094	+	1.98990i	−0.0250044	+	0.174526i
$131$	3.30641	+	4.94839i	0.288882	+	0.432343i	0.947318	−	0.320294i	$-0.103782\pi$
$131$	3.30641	+	4.94839i	0.288882	+	0.432343i	−0.658436	+	0.752637i	$0.728782\pi$
$132$	−1.48266			−0.129049
$133$	0.317302	+	0.474876i	0.0275136	+	0.0411770i
$134$	−5.90230	+	2.44481i	−0.509881	+	0.211199i
$135$	11.1282	−	5.33096i	0.957765	−	0.458816i
$136$	−4.12231	−	0.0811900i	−0.353485	−	0.00696199i
$137$	0.536588	−	0.536588i	0.0458438	−	0.0458438i	−0.683813	−	0.729657i	$-0.739680\pi$
$137$	0.536588	−	0.536588i	0.0458438	−	0.0458438i	0.729657	+	0.683813i	$0.239680\pi$
$138$	−6.11036	−	2.53099i	−0.520148	−	0.215452i
$139$	16.9015	+	3.36191i	1.43356	+	0.285154i	0.849944	−	0.526873i	$-0.176636\pi$
$139$	16.9015	+	3.36191i	1.43356	+	0.285154i	0.583620	+	0.812027i	$0.301636\pi$
$140$	−0.118729	+	0.337087i	−0.0100344	+	0.0284890i
$141$	−3.46695	+	2.31654i	−0.291970	+	0.195088i
$142$	−3.46171	−	2.31304i	−0.290500	−	0.194106i
$143$	−0.211513	−	1.06335i	−0.0176876	−	0.0889216i
$144$	−1.37524	−	0.569643i	−0.114603	−	0.0474702i
$145$	1.02624	+	0.920896i	0.0852242	+	0.0764762i
$146$	−5.49050	+	8.21712i	−0.454397	+	0.680054i
$147$	−4.76372	+	7.12941i	−0.392905	+	0.588024i
$148$	1.74511	−	8.77325i	0.143447	−	0.721157i
$149$	−0.685692	+	0.685692i	−0.0561741	+	0.0561741i	−0.734636	−	0.678462i	$-0.762647\pi$
$149$	−0.685692	+	0.685692i	−0.0561741	+	0.0561741i	0.678462	+	0.734636i	$0.262647\pi$
$150$	3.94659	+	4.71282i	0.322238	+	0.384800i
$151$	5.57324	+	13.4550i	0.453543	+	1.09495i	0.970965	+	0.239220i	$0.0768918\pi$
$151$	5.57324	+	13.4550i	0.453543	+	1.09495i	−0.517422	+	0.855730i	$0.673108\pi$
$152$	−2.52678	−	2.52678i	−0.204949	−	0.204949i
$153$	−4.42444	+	4.25353i	−0.357695	+	0.343877i
$154$		−	0.192750i		−	0.0155323i
$155$	0.810695	+	14.9852i	0.0651166	+	1.20364i
$156$	−0.215621	+	1.08400i	−0.0172635	+	0.0867894i
$157$			0.263334i			0.0210163i	0.999945	+	0.0105082i	$0.00334491\pi$
$157$			0.263334i			0.0210163i	−0.999945	+	0.0105082i	$0.996655\pi$
$158$	−8.36698	−	1.66430i	−0.665641	−	0.132404i
$159$	13.6637	−	2.71789i	1.08361	−	0.215543i
$160$	0.317125	−	2.21347i	0.0250709	−	0.174990i
$161$	0.329037	−	0.794366i	0.0259318	−	0.0626048i
$162$	2.14209	−	0.887282i	0.168298	−	0.0697115i
$163$	0.389529	−	0.0774821i	0.0305103	−	0.00606887i	−0.179812	−	0.983701i	$-0.557549\pi$
$163$	0.389529	−	0.0774821i	0.0305103	−	0.00606887i	0.210322	+	0.977632i	$0.432549\pi$
$164$	−0.424003	−	2.13161i	−0.0331091	−	0.166451i
$165$	−2.85206	−	1.69029i	−0.222033	−	0.131589i
$166$	0.0714593	+	0.0714593i	0.00554632	+	0.00554632i
$167$	8.69840	−	5.81209i	0.673103	−	0.449753i	−0.171473	−	0.985189i	$-0.554853\pi$
$167$	8.69840	−	5.81209i	0.673103	−	0.449753i	0.844576	+	0.535436i	$0.179853\pi$
$168$	−0.0751948	+	0.181536i	−0.00580141	+	0.0140058i
$169$	12.1918			0.937831
$170$	−7.83718	−	4.85578i	−0.601084	−	0.372421i
$171$	−5.31919			−0.406769
$172$	−0.109448	+	0.264230i	−0.00834531	+	0.0201474i
$173$	13.7947	−	9.21730i	1.04879	−	0.700779i	0.0932502	−	0.995643i	$-0.470274\pi$
$173$	13.7947	−	9.21730i	1.04879	−	0.700779i	0.955539	+	0.294864i	$0.0952744\pi$
$174$	0.536058	+	0.536058i	0.0406385	+	0.0406385i
$175$	−0.612682	+	0.513070i	−0.0463144	+	0.0387844i
$176$	0.235277	+	1.18282i	0.0177347	+	0.0891582i
$177$	−14.4418	+	2.87264i	−1.08551	+	0.215921i
$178$	−6.50591	+	2.69484i	−0.487639	+	0.201987i
$179$	−9.83118	+	23.7346i	−0.734817	+	1.77401i	−0.108991	+	0.994043i	$0.534762\pi$
$179$	−9.83118	+	23.7346i	−0.734817	+	1.77401i	−0.625826	+	0.779963i	$0.715238\pi$
$180$	−1.99602	−	2.66361i	−0.148774	−	0.198533i
$181$	−6.38420	+	1.26990i	−0.474534	+	0.0943906i	−0.426562	−	0.904458i	$-0.640276\pi$
$181$	−6.38420	+	1.26990i	−0.474534	+	0.0943906i	−0.0479712	+	0.998849i	$0.515276\pi$
$182$	−0.140923	−	0.0280314i	−0.0104459	−	0.00207782i
$183$			2.78911i			0.206177i
$184$	−1.04952	+	5.27628i	−0.0773715	+	0.388973i
$185$	13.3588	−	14.8869i	0.982158	−	1.09451i
$186$			8.25103i			0.604995i
$187$	4.85683	+	1.06592i	0.355167	+	0.0779475i
$188$	2.39822	+	2.39822i	0.174908	+	0.174908i
$189$	0.337516	+	0.814835i	0.0245507	+	0.0592705i
$190$	−1.97992	−	7.74120i	−0.143639	−	0.561606i
$191$	−16.7000	+	16.7000i	−1.20837	+	1.20837i	−0.236814	+	0.971555i	$0.576103\pi$
$191$	−16.7000	+	16.7000i	−1.20837	+	1.20837i	−0.971555	+	0.236814i	$0.923897\pi$
$192$	0.239846	−	1.20579i	0.0173094	−	0.0870203i
$193$	−11.0509	+	16.5389i	−0.795462	+	1.19049i	0.182806	+	0.983149i	$0.441482\pi$
$193$	−11.0509	+	16.5389i	−0.795462	+	1.19049i	−0.978268	+	0.207344i	$0.933518\pi$
$194$	4.88738	−	7.31449i	0.350894	−	0.525149i
$195$	−1.65058	+	1.83938i	−0.118200	+	0.131721i
$196$	6.44356	+	2.66901i	0.460254	+	0.190643i
$197$	−1.95076	−	9.80712i	−0.138986	−	0.698728i	−0.985945	−	0.167070i	$-0.946569\pi$
$197$	−1.95076	−	9.80712i	−0.138986	−	0.698728i	0.846959	−	0.531658i	$-0.178431\pi$
$198$	1.49263	+	0.997345i	0.106077	+	0.0708782i
$199$	14.0971	−	9.41941i	0.999320	−	0.667724i	0.0555945	−	0.998453i	$-0.482295\pi$
$199$	14.0971	−	9.41941i	0.999320	−	0.667724i	0.943726	+	0.330729i	$0.107295\pi$
$200$	3.13347	−	3.89633i	0.221570	−	0.275512i
$201$	−7.70330	−	1.53228i	−0.543349	−	0.108079i
$202$	−8.39259	−	3.47633i	−0.590501	−	0.244593i
$203$	−0.0696893	+	0.0696893i	−0.00489123	+	0.00489123i
$204$	−4.15844	−	2.89863i	−0.291149	−	0.202945i
$205$	1.61450	−	4.58378i	0.112762	−	0.320145i
$206$	−16.7912	+	6.95512i	−1.16989	+	0.484586i
$207$	4.44893	+	6.65830i	0.309222	+	0.462784i
$208$	0.898996			0.0623342
$209$	2.39423	+	3.58321i	0.165612	+	0.247856i
$210$	−0.351605	+	0.263481i	−0.0242631	+	0.0181819i
$211$	10.4727	+	6.99765i	0.720972	+	0.481738i	0.861126	−	0.508392i	$-0.169760\pi$
$211$	10.4727	+	6.99765i	0.720972	+	0.481738i	−0.140154	+	0.990130i	$0.544760\pi$
$212$	−4.33649	−	10.4692i	−0.297831	−	0.719028i
$213$	−1.95876	−	4.72886i	−0.134212	−	0.324016i
$214$	−4.49359	−	3.00252i	−0.307176	−	0.205248i
$215$	−0.511769	+	0.383503i	−0.0349024	+	0.0261547i
$216$	−3.06579	−	4.58827i	−0.208600	−	0.312193i
$217$	−1.07266			−0.0728169
$218$	10.0368	+	15.0211i	0.679776	+	1.01736i
$219$	−11.2250	+	4.64954i	−0.758514	+	0.314187i
$220$	−0.895878	+	2.54351i	−0.0604001	+	0.171484i
$221$	1.48563	−	3.39591i	0.0999346	−	0.228433i
$222$	7.77622	−	7.77622i	0.521906	−	0.521906i
$223$	15.0337	+	6.22717i	1.00673	+	0.417002i	0.824262	−	0.566209i	$-0.191591\pi$
$223$	15.0337	+	6.22717i	1.00673	+	0.417002i	0.182471	+	0.983211i	$0.441591\pi$
$224$	0.156756	+	0.0311808i	0.0104737	+	0.00208335i
$225$	−0.802953	−	7.39930i	−0.0535302	−	0.493287i
$226$	13.9347	−	9.31087i	0.926923	−	0.619350i
$227$	−21.6400	−	14.4594i	−1.43630	−	0.959703i	−0.998150	−	0.0608000i	$-0.980635\pi$
$227$	−21.6400	−	14.4594i	−1.43630	−	0.959703i	−0.438147	−	0.898903i	$-0.644365\pi$
$228$	−0.857069	−	4.30878i	−0.0567608	−	0.285356i
$229$	7.76163	+	3.21497i	0.512903	+	0.212451i	0.624096	−	0.781347i	$-0.285467\pi$
$229$	7.76163	+	3.21497i	0.512903	+	0.212451i	−0.111193	+	0.993799i	$0.535467\pi$
$230$	−8.03405	+	8.95305i	−0.529750	+	0.590347i
$231$	0.131653	−	0.197033i	0.00866213	−	0.0129638i
$232$	0.342585	−	0.512715i	0.0224918	−	0.0336614i
$233$	−0.0720676	+	0.362308i	−0.00472131	+	0.0237356i	−0.983074	−	0.183208i	$-0.941352\pi$
$233$	−0.0720676	+	0.362308i	−0.00472131	+	0.0237356i	0.978353	+	0.206944i	$0.0663517\pi$
$234$	0.946249	−	0.946249i	0.0618583	−	0.0618583i
$235$	1.87919	+	7.34732i	0.122585	+	0.479287i
$236$	4.58341	+	11.0653i	0.298354	+	0.720291i
$237$	−7.41612	−	7.41612i	−0.481729	−	0.481729i
$238$	0.376831	−	0.540611i	0.0244263	−	0.0350426i
$239$		−	26.9657i		−	1.74427i	−0.489269	−	0.872133i	$-0.662737\pi$
$239$		−	26.9657i		−	1.74427i	0.489269	−	0.872133i	$-0.337263\pi$
$240$	1.83602	−	2.04604i	0.118515	−	0.132071i
$241$	4.10394	−	20.6319i	0.264358	−	1.32902i	−0.589187	−	0.807997i	$-0.700552\pi$
$241$	4.10394	−	20.6319i	0.264358	−	1.32902i	0.853545	−	0.521019i	$-0.174448\pi$
$242$			9.54559i			0.613614i
$243$	−13.4410	−	2.67358i	−0.862241	−	0.171510i
$244$	2.22506	−	0.442592i	0.142445	−	0.0283341i
$245$	9.35216	+	12.4801i	0.597487	+	0.797323i
$246$	1.02252	−	2.46857i	0.0651933	−	0.157391i
$247$	2.96795	−	1.22936i	0.188846	−	0.0782225i
$248$	6.58241	−	1.30932i	0.417984	−	0.0831421i
$249$	0.0242385	+	0.121855i	0.00153606	+	0.00772227i
$250$	10.4696	−	3.92275i	0.662154	−	0.248097i
$251$	13.8306	+	13.8306i	0.872982	+	0.872982i	0.992796	−	0.119814i	$-0.0382298\pi$
$251$	13.8306	+	13.8306i	0.872982	+	0.872982i	−0.119814	+	0.992796i	$0.538230\pi$
$252$	0.197816	−	0.132176i	0.0124612	−	0.00832631i
$253$	2.48277	−	5.99395i	0.156091	−	0.376836i
$254$	−12.9515			−0.812650
$255$	−4.69469	−	10.3167i	−0.293993	−	0.646054i
$256$	−1.00000			−0.0625000
$257$	7.39704	−	17.8580i	0.461415	−	1.11395i	−0.506402	−	0.862298i	$-0.669025\pi$
$257$	7.39704	−	17.8580i	0.461415	−	1.11395i	0.967817	−	0.251656i	$-0.0809752\pi$
$258$	−0.292355	+	0.195345i	−0.0182012	+	0.0121617i
$259$	1.01093	+	1.01093i	0.0628164	+	0.0628164i
$260$	1.72932	+	1.02489i	0.107248	+	0.0635612i
$261$	−0.179072	−	0.900257i	−0.0110843	−	0.0557245i
$262$	5.83703	−	1.16106i	0.360613	−	0.0717303i
$263$	−3.59515	+	1.48916i	−0.221687	+	0.0918256i	−0.490763	−	0.871293i	$-0.663282\pi$
$263$	−3.59515	+	1.48916i	−0.221687	+	0.0918256i	0.269076	+	0.963119i	$0.413282\pi$
$264$	−0.567388	+	1.36980i	−0.0349203	+	0.0843051i
$265$	3.59359	−	25.0825i	0.220753	−	1.54081i
$266$	0.560155	−	0.111422i	0.0343453	−	0.00683170i
$267$	−8.49110	−	1.68898i	−0.519647	−	0.103364i
$268$			6.38860i			0.390246i
$269$	2.71571	−	13.6528i	0.165580	−	0.832427i	−0.805301	−	0.592866i	$-0.797997\pi$
$269$	2.71571	−	13.6528i	0.165580	−	0.832427i	0.970881	−	0.239561i	$-0.0770035\pi$
$270$	−0.666576	−	12.3212i	−0.0405665	−	0.749845i
$271$			7.53337i			0.457620i	0.973471	+	0.228810i	$0.0734834\pi$
$271$			7.53337i			0.457620i	−0.973471	+	0.228810i	$0.926517\pi$
$272$	−1.65255	+	3.77744i	−0.100200	+	0.229041i
$273$	−0.124908	−	0.124908i	−0.00755979	−	0.00755979i
$274$	−0.290399	−	0.701086i	−0.0175437	−	0.0423541i
$275$	−4.62304	+	3.87141i	−0.278780	+	0.233455i
$276$	−4.67666	+	4.67666i	−0.281502	+	0.281502i
$277$	4.78398	−	24.0507i	0.287442	−	1.44507i	−0.519518	−	0.854460i	$-0.673888\pi$
$277$	4.78398	−	24.0507i	0.287442	−	1.44507i	0.806959	−	0.590607i	$-0.201112\pi$
$278$	9.57391	−	14.3284i	0.574205	−	0.859359i
$279$	5.55025	−	8.30654i	0.332285	−	0.497300i
$280$	0.265992	+	0.238689i	0.0158961	+	0.0142644i
$281$	−25.3772	−	10.5116i	−1.51388	−	0.627069i	−0.537524	−	0.843248i	$-0.680640\pi$
$281$	−25.3772	−	10.5116i	−1.51388	−	0.627069i	−0.976354	+	0.216180i	$0.930640\pi$
$282$	0.813461	+	4.08954i	0.0484409	+	0.243529i
$283$	−3.19254	−	2.13319i	−0.189777	−	0.126805i	0.457052	−	0.889440i	$-0.348905\pi$
$283$	−3.19254	−	2.13319i	−0.189777	−	0.126805i	−0.646829	+	0.762635i	$0.723905\pi$
$284$	−3.46171	+	2.31304i	−0.205415	+	0.137254i
$285$	3.26351	−	9.26553i	0.193314	−	0.548843i
$286$	−1.06335	−	0.211513i	−0.0628771	−	0.0125070i
$287$	0.320923	+	0.132930i	0.0189435	+	0.00784664i
$288$	−1.05256	+	1.05256i	−0.0620228	+	0.0620228i
$289$	11.5382	+	12.4848i	0.678716	+	0.734401i
$290$	1.24352	−	0.595706i	0.0730220	−	0.0349811i
$291$	9.99194	−	4.13880i	0.585738	−	0.242621i
$292$	5.49050	+	8.21712i	0.321307	+	0.480871i
$293$	−6.56472			−0.383515			−0.191757	−	0.981442i	$-0.561419\pi$
$293$	−6.56472			−0.383515			−0.191757	+	0.981442i	$0.561419\pi$
$294$	4.76372	+	7.12941i	0.277826	+	0.415796i
$295$	−3.79821	+	26.5107i	−0.221140	+	1.54351i
$296$	−7.43760	−	4.96965i	−0.432302	−	0.288855i
$297$	2.54675	+	6.14840i	0.147777	+	0.356766i
$298$	0.371094	+	0.895900i	0.0214969	+	0.0518981i
$299$	−4.02122	−	2.68690i	−0.232553	−	0.155387i
$300$	5.86438	−	1.84266i	0.338580	−	0.106386i
$301$	−0.0253955	−	0.0380071i	−0.00146377	−	0.00219069i
$302$	14.5636			0.838039
$303$	−6.20464	−	9.28591i	−0.356447	−	0.533461i
$304$	−3.30140	+	1.36748i	−0.189348	+	0.0784306i
$305$	4.78474	+	1.68529i	0.273974	+	0.0964992i
$306$	2.23659	+	5.71541i	0.127857	+	0.326728i
$307$	−10.8667	+	10.8667i	−0.620195	+	0.620195i	−0.945581	−	0.325386i	$-0.894506\pi$
$307$	−10.8667	+	10.8667i	−0.620195	+	0.620195i	0.325386	+	0.945581i	$0.394506\pi$
$308$	−0.178078	−	0.0737623i	−0.0101469	−	0.00420300i
$309$	−21.9147	−	4.35911i	−1.24669	−	0.247981i
$310$	14.1547	+	4.98559i	0.803934	+	0.283162i
$311$	0.740317	−	0.494664i	0.0419795	−	0.0280498i	−0.534403	−	0.845230i	$-0.679464\pi$
$311$	0.740317	−	0.494664i	0.0419795	−	0.0280498i	0.576383	+	0.817180i	$0.304464\pi$
$312$	0.918970	+	0.614036i	0.0520264	+	0.0347629i
$313$	2.19850	+	11.0526i	0.124267	+	0.624730i	0.991847	+	0.127434i	$0.0406740\pi$
$313$	2.19850	+	11.0526i	0.124267	+	0.624730i	−0.867580	+	0.497297i	$0.834326\pi$
$314$	0.243289	+	0.100774i	0.0137296	+	0.00568698i
$315$	0.531208	−	0.0287383i	0.0299302	−	0.00161922i
$316$	−4.73951	+	7.09318i	−0.266618	+	0.399023i
$317$	−17.3366	+	25.9461i	−0.973723	+	1.45728i	−0.0863298	+	0.996267i	$0.527514\pi$
$317$	−17.3366	+	25.9461i	−0.973723	+	1.45728i	−0.887393	+	0.461013i	$0.847486\pi$
$318$	2.71789	−	13.6637i	0.152412	−	0.766225i
$319$	−0.525846	+	0.525846i	−0.0294417	+	0.0294417i
$320$	−1.92362	−	1.14004i	−0.107533	−	0.0637303i
$321$	−2.54264	−	6.13847i	−0.141916	−	0.342616i
$322$	−0.607981	−	0.607981i	−0.0338815	−	0.0338815i
$323$	−0.290125	+	14.7307i	−0.0161430	+	0.819637i
$324$		−	2.31858i		−	0.128810i
$325$	2.15814	+	3.94300i	0.119712	+	0.218719i
$326$	0.0774821	−	0.389529i	0.00429134	−	0.0215740i
$327$			22.2102i			1.22823i
$328$	−2.13161	−	0.424003i	−0.117698	−	0.0234117i
$329$	−0.531654	+	0.105752i	−0.0293110	+	0.00583032i
$330$	−2.65306	+	1.98812i	−0.146046	+	0.109442i
$331$	5.38549	−	13.0017i	0.296013	−	0.714640i	−0.703977	−	0.710223i	$-0.748594\pi$
$331$	5.38549	−	13.0017i	0.296013	−	0.714640i	0.999990	−	0.00441663i	$-0.00140586\pi$
$332$	0.0933661	−	0.0386735i	0.00512413	−	0.00212248i
$333$	−13.0594	+	2.59768i	−0.715651	+	0.142352i
$334$	−2.04093	−	10.2605i	−0.111675	−	0.561428i
$335$	−7.28327	+	12.2892i	−0.397928	+	0.671432i
$336$	0.138942	+	0.138942i	0.00757990	+	0.00757990i
$337$	−3.61035	+	2.41236i	−0.196668	+	0.131410i	−0.650005	−	0.759930i	$-0.725233\pi$
$337$	−3.61035	+	2.41236i	−0.196668	+	0.131410i	0.453337	+	0.891339i	$0.350233\pi$
$338$	4.66560	−	11.2638i	0.253775	−	0.612668i
$339$	20.6039			1.11905
$340$	−7.48532	+	5.38238i	−0.405948	+	0.291901i
$341$	−8.09384			−0.438306
$342$	−2.03557	+	4.91429i	−0.110071	+	0.265735i
$343$	−1.85709	+	1.24087i	−0.100273	+	0.0670005i
$344$	0.202233	+	0.202233i	0.0109037	+	0.0109037i
$345$	−14.3277	+	3.66452i	−0.771378	+	0.197291i
$346$	−3.23669	−	16.2719i	−0.174005	−	0.874784i
$347$	19.1388	−	3.80695i	1.02743	−	0.204368i	0.347524	−	0.937671i	$-0.387023\pi$
$347$	19.1388	−	3.80695i	1.02743	−	0.204368i	0.679901	+	0.733304i	$0.262023\pi$
$348$	0.700394	−	0.290113i	0.0375451	−	0.0155517i
$349$	−11.1638	+	26.9518i	−0.597585	+	1.44270i	0.278451	+	0.960450i	$0.410179\pi$
$349$	−11.1638	+	26.9518i	−0.597585	+	1.44270i	−0.876036	+	0.482246i	$0.839821\pi$
$350$	0.239551	+	0.762388i	0.0128046	+	0.0407513i
$351$	4.86558	−	0.967824i	0.259705	−	0.0516586i
$352$	1.18282	+	0.235277i	0.0630443	+	0.0125403i
$353$		−	3.85405i		−	0.205131i	−0.994726	−	0.102565i	$-0.967295\pi$
$353$		−	3.85405i		−	0.205131i	0.994726	−	0.102565i	$-0.0327051\pi$
$354$	−2.87264	+	14.4418i	−0.152679	+	0.767571i
$355$	−9.29597	+	0.502911i	−0.493379	+	0.0266917i
$356$			7.04195i			0.373222i
$357$	0.754454	−	0.295237i	0.0399299	−	0.0156256i
$358$	18.1657	+	18.1657i	0.960085	+	0.960085i
$359$	−5.91026	−	14.2686i	−0.311931	−	0.753069i	−0.999633	−	0.0270760i	$-0.991380\pi$
$359$	−5.91026	−	14.2686i	−0.311931	−	0.753069i	0.687702	−	0.725993i	$-0.258620\pi$
$360$	−3.22469	+	0.824762i	−0.169956	+	0.0434688i
$361$	4.40580	−	4.40580i	0.231884	−	0.231884i
$362$	−1.26990	+	6.38420i	−0.0667442	+	0.335546i
$363$	−6.51987	+	9.75767i	−0.342204	+	0.512145i
$364$	−0.0798266	+	0.119469i	−0.00418405	+	0.00626188i
$365$	1.19377	+	22.0660i	0.0624847	+	1.15499i
$366$	2.57680	+	1.06735i	0.134692	+	0.0557910i
$367$	4.60135	+	23.1325i	0.240188	+	1.20751i	0.893024	+	0.450009i	$0.148579\pi$
$367$	4.60135	+	23.1325i	0.240188	+	1.20751i	−0.652836	+	0.757500i	$0.726421\pi$
$368$	4.47302	+	2.98877i	0.233172	+	0.155801i
$369$	−2.68994	+	1.79736i	−0.140033	+	0.0935669i
$370$	−8.64150	−	18.0389i	−0.449250	−	0.937797i
$371$	1.77633	+	0.353334i	0.0922225	+	0.0183442i
$372$	7.62296	+	3.15753i	0.395232	+	0.163710i
$373$	2.28576	−	2.28576i	0.118352	−	0.118352i	−0.645450	−	0.763802i	$-0.723330\pi$
$373$	2.28576	−	2.28576i	0.118352	−	0.118352i	0.763802	+	0.645450i	$0.223330\pi$
$374$	2.84341	−	4.07922i	0.147029	−	0.210931i
$375$	13.3815	+	3.14107i	0.691019	+	0.162204i
$376$	3.13342	−	1.29791i	0.161594	−	0.0669344i
$377$	0.307983	+	0.460929i	0.0158619	+	0.0237390i
$378$	0.881971			0.0453637
$379$	19.5098	+	29.1985i	1.00215	+	1.49982i	0.860204	+	0.509951i	$0.170336\pi$
$379$	19.5098	+	29.1985i	1.00215	+	1.49982i	0.141947	+	0.989874i	$0.454664\pi$
$380$	−7.90962	−	1.13322i	−0.405755	−	0.0581328i
$381$	−13.2393	−	8.84619i	−0.678268	−	0.453204i
$382$	9.03797	+	21.8196i	0.462423	+	1.11639i
$383$	−12.8281	−	30.9698i	−0.655486	−	1.58248i	−0.804702	−	0.593679i	$-0.797675\pi$
$383$	−12.8281	−	30.9698i	−0.655486	−	1.58248i	0.149215	−	0.988805i	$-0.452325\pi$
$384$	−1.02222	−	0.683024i	−0.0521648	−	0.0348554i
$385$	−0.258462	−	0.344907i	−0.0131724	−	0.0175781i
$386$	11.0509	+	16.5389i	0.562477	+	0.841806i
$387$	0.425726			0.0216409
$388$	−4.88738	−	7.31449i	−0.248119	−	0.371337i
$389$	0.467847	−	0.193789i	0.0237208	−	0.00982547i	−0.370792	−	0.928716i	$-0.620914\pi$
$389$	0.467847	−	0.193789i	0.0237208	−	0.00982547i	0.394512	+	0.918891i	$0.370914\pi$
$390$	1.06772	+	2.22883i	0.0540661	+	0.112861i
$391$	18.6818	−	11.9575i	0.944779	−	0.604716i
$392$	4.93168	−	4.93168i	0.249088	−	0.249088i
$393$	6.75974	+	2.79998i	0.340984	+	0.141240i
$394$	−9.80712	−	1.95076i	−0.494075	−	0.0982777i
$395$	−17.2035	+	8.24133i	−0.865604	+	0.414666i
$396$	1.49263	−	0.997345i	0.0750076	−	0.0501185i
$397$	−12.1959	−	8.14905i	−0.612095	−	0.408989i	0.210518	−	0.977590i	$-0.432485\pi$
$397$	−12.1959	−	8.14905i	−0.612095	−	0.408989i	−0.822613	+	0.568601i	$0.807485\pi$
$398$	−3.30766	−	16.6287i	−0.165798	−	0.833522i
$399$	0.648704	+	0.268702i	0.0324758	+	0.0134519i
$400$	−2.40061	−	4.38601i	−0.120030	−	0.219300i
$401$	8.82532	−	13.2080i	0.440715	−	0.659577i	−0.542912	−	0.839789i	$-0.682678\pi$
$401$	8.82532	−	13.2080i	0.440715	−	0.659577i	0.983628	+	0.180212i	$0.0576784\pi$
$402$	−4.36357	+	6.53054i	−0.217635	+	0.325714i
$403$	−1.17708	+	5.91756i	−0.0586343	+	0.294775i
$404$	−6.42341	+	6.42341i	−0.319577	+	0.319577i
$405$	2.64328	−	4.46006i	0.131346	−	0.221622i
$406$	0.0377156	+	0.0910534i	0.00187179	+	0.00451891i
$407$	7.62808	+	7.62808i	0.378110	+	0.378110i
$408$	−4.26935	+	2.73264i	−0.211364	+	0.135286i
$409$		−	4.47115i		−	0.221084i	−0.993871	−	0.110542i	$-0.964741\pi$
$409$		−	4.47115i		−	0.221084i	0.993871	−	0.110542i	$-0.0352587\pi$
$410$	−3.61702	−	3.24574i	−0.178632	−	0.160296i
$411$	0.182007	−	0.915012i	0.00897775	−	0.0451342i
$412$			18.1746i			0.895399i
$413$	−1.87747	−	0.373453i	−0.0923845	−	0.0183764i
$414$	7.85400	−	1.56226i	0.386003	−	0.0767808i
$415$	0.223690	+	0.0320482i	0.0109805	+	0.00157319i
$416$	0.344031	−	0.830564i	0.0168675	−	0.0407217i
$417$	19.5732	−	8.10751i	0.958506	−	0.397026i
$418$	4.22669	−	0.840741i	0.206734	−	0.0411220i
$419$	−5.42702	−	27.2835i	−0.265127	−	1.33288i	−0.852143	−	0.523309i	$-0.824698\pi$
$419$	−5.42702	−	27.2835i	−0.265127	−	1.33288i	0.587016	−	0.809575i	$-0.300302\pi$
$420$	0.108872	+	0.425671i	0.00531239	+	0.0207706i
$421$	10.9159	+	10.9159i	0.532007	+	0.532007i	0.921169	−	0.389162i	$-0.127235\pi$
$421$	10.9159	+	10.9159i	0.532007	+	0.532007i	−0.389162	+	0.921169i	$0.627235\pi$
$422$	10.4727	−	6.99765i	0.509804	−	0.340640i
$423$	1.93200	−	4.66425i	0.0939369	−	0.226784i
$424$	−11.3318			−0.550320
$425$	−20.5350	+	1.82007i	−0.996095	+	0.0882865i
$426$	−5.11848			−0.247991
$427$	−0.138758	+	0.334992i	−0.00671499	+	0.0162114i
$428$	−4.49359	+	3.00252i	−0.217206	+	0.145132i
$429$	−0.942504	−	0.942504i	−0.0455045	−	0.0455045i
$430$	0.158465	+	0.619573i	0.00764185	+	0.0298785i
$431$	−6.58663	−	33.1132i	−0.317267	−	1.59501i	−0.729534	−	0.683945i	$-0.760263\pi$
$431$	−6.58663	−	33.1132i	−0.317267	−	1.59501i	0.412267	−	0.911063i	$-0.364737\pi$
$432$	−5.41224	+	1.07656i	−0.260396	+	0.0517961i
$433$	15.5915	−	6.45821i	0.749280	−	0.310362i	0.0248323	−	0.999692i	$-0.492095\pi$
$433$	15.5915	−	6.45821i	0.749280	−	0.310362i	0.724448	+	0.689330i	$0.242095\pi$
$434$	−0.410489	+	0.991009i	−0.0197041	+	0.0475700i
$435$	1.67803	+	0.240413i	0.0804554	+	0.0115269i
$436$	17.7186	−	3.52444i	0.848566	−	0.168790i
$437$	18.8543	+	3.75036i	0.901924	+	0.179404i
$438$			12.1498i			0.580542i
$439$	3.28963	−	16.5381i	0.157005	−	0.789319i	−0.819375	−	0.573258i	$-0.805679\pi$
$439$	3.28963	−	16.5381i	0.157005	−	0.789319i	0.976380	−	0.216061i	$-0.0693209\pi$
$440$	2.00706	+	1.80104i	0.0956829	+	0.0858614i
$441$		−	10.3818i		−	0.494372i
$442$	−2.56888	−	2.67210i	−0.122189	−	0.127099i
$443$	7.23038	+	7.23038i	0.343526	+	0.343526i	0.857691	−	0.514165i	$-0.171898\pi$
$443$	7.23038	+	7.23038i	0.343526	+	0.343526i	−0.514165	+	0.857691i	$0.671898\pi$
$444$	−4.20846	−	10.1601i	−0.199725	−	0.482178i
$445$	−8.02811	+	13.5460i	−0.380569	+	0.642142i
$446$	11.5063	−	11.5063i	0.544840	−	0.544840i
$447$	−0.232582	+	1.16927i	−0.0110008	+	0.0553046i
$448$	0.0887953	−	0.132892i	0.00419519	−	0.00627854i
$449$	1.97644	−	2.95794i	0.0932737	−	0.139594i	−0.781898	−	0.623406i	$-0.785748\pi$
$449$	1.97644	−	2.95794i	0.0932737	−	0.139594i	0.875172	+	0.483812i	$0.160748\pi$
$450$	−7.14334	−	2.08976i	−0.336740	−	0.0985122i
$451$	2.42154	+	1.00304i	0.114026	+	0.0472312i
$452$	−3.26954	−	16.4371i	−0.153786	−	0.773136i
$453$	14.8871	+	9.94727i	0.699459	+	0.467363i
$454$	−21.6400	+	14.4594i	−1.01562	+	0.678613i
$455$	−0.289756	+	0.138807i	−0.0135840	+	0.00650737i
$456$	−4.30878	−	0.857069i	−0.201777	−	0.0401359i
$457$	2.59171	+	1.07352i	0.121235	+	0.0502173i	0.442476	−	0.896780i	$-0.354100\pi$
$457$	2.59171	+	1.07352i	0.121235	+	0.0502173i	−0.321241	+	0.946997i	$0.604100\pi$
$458$	5.94050	−	5.94050i	0.277581	−	0.277581i
$459$	−4.87734	+	22.2235i	−0.227655	+	1.03730i
$460$	5.19704	+	10.8487i	0.242313	+	0.505823i
$461$	5.82646	−	2.41340i	0.271365	−	0.112403i	−0.242851	−	0.970064i	$-0.578083\pi$
$461$	5.82646	−	2.41340i	0.271365	−	0.112403i	0.514217	+	0.857660i	$0.328083\pi$
$462$	−0.131653	−	0.197033i	−0.00612505	−	0.00916679i
$463$	27.5037			1.27820			0.639102	−	0.769122i	$-0.279306\pi$
$463$	27.5037			1.27820			0.639102	+	0.769122i	$0.279306\pi$
$464$	−0.342585	−	0.512715i	−0.0159041	−	0.0238022i
$465$	11.0639	+	14.7644i	0.513078	+	0.684682i
$466$	0.307150	+	0.205231i	0.0142285	+	0.00950715i
$467$	−4.28725	−	10.3503i	−0.198390	−	0.478956i	0.793107	−	0.609082i	$-0.208462\pi$
$467$	−4.28725	−	10.3503i	−0.198390	−	0.478956i	−0.991498	+	0.130126i	$0.958462\pi$
$468$	−0.512106	−	1.23633i	−0.0236721	−	0.0571496i
$469$	−0.848991	−	0.567278i	−0.0392028	−	0.0261945i
$470$	7.50717	+	1.07556i	0.346280	+	0.0496118i
$471$	0.179863	+	0.269185i	0.00828767	+	0.0124034i
$472$	11.9770			0.551287
$473$	−0.191624	−	0.286785i	−0.00881087	−	0.0131864i
$474$	−9.68963	+	4.01358i	−0.445059	+	0.184350i
$475$	−13.9232	−	11.1972i	−0.638839	−	0.513762i
$476$	−0.355252	−	0.555029i	−0.0162830	−	0.0254397i
$477$	−11.9274	+	11.9274i	−0.546119	+	0.546119i
$478$	−24.9130	−	10.3193i	−1.13950	−	0.471995i
$479$	−30.7587	−	6.11829i	−1.40540	−	0.279552i	−0.566602	−	0.823992i	$-0.691742\pi$
$479$	−30.7587	−	6.11829i	−1.40540	−	0.279552i	−0.838800	+	0.544440i	$0.816742\pi$
$480$	−1.18768	−	2.47925i	−0.0542099	−	0.113162i
$481$	6.68638	−	4.46769i	0.304872	−	0.203709i
$482$	−17.4909	−	11.6870i	−0.796687	−	0.532329i
$483$	−0.206224	−	1.03676i	−0.00938349	−	0.0471740i
$484$	8.81897	+	3.65294i	0.400862	+	0.166043i
$485$	−1.06263	−	19.6421i	−0.0482518	−	0.891902i
$486$	−7.61372	+	11.3947i	−0.345365	+	0.516875i
$487$	1.09887	−	1.64458i	0.0497948	−	0.0745231i	−0.805737	−	0.592274i	$-0.798230\pi$
$487$	1.09887	−	1.64458i	0.0497948	−	0.0745231i	0.855532	+	0.517751i	$0.173230\pi$
$488$	0.442592	−	2.22506i	0.0200352	−	0.100724i
$489$	0.345261	−	0.345261i	0.0156133	−	0.0156133i
$490$	15.1090	−	3.86435i	0.682555	−	0.174573i
$491$	8.92003	+	21.5349i	0.402555	+	0.971855i	0.987044	+	0.160453i	$0.0512953\pi$
$491$	8.92003	+	21.5349i	0.402555	+	0.971855i	−0.584488	+	0.811402i	$0.698705\pi$
$492$	−1.88936	−	1.88936i	−0.0851791	−	0.0851791i
$493$	−2.50289	+	0.446811i	−0.112725	+	0.0201233i
$494$		−	3.21248i		−	0.144536i
$495$	4.00827	−	0.216847i	0.180158	−	0.00974654i
$496$	1.30932	−	6.58241i	0.0587903	−	0.295559i
$497$		−	0.665419i		−	0.0298481i
$498$	0.121855	+	0.0242385i	0.00546047	+	0.00108616i
$499$	6.97792	−	1.38799i	0.312374	−	0.0621351i	−0.0364135	−	0.999337i	$-0.511593\pi$
$499$	6.97792	−	1.38799i	0.312374	−	0.0621351i	0.348788	+	0.937202i	$0.386593\pi$
$500$	0.382382	−	11.1738i	0.0171006	−	0.499707i
$501$	4.92187	−	11.8824i	0.219893	−	0.530868i
$502$	18.0706	−	7.48509i	0.806531	−	0.334076i
$503$	18.0912	−	3.59857i	0.806649	−	0.160452i	0.225493	−	0.974245i	$-0.427601\pi$
$503$	18.0912	−	3.59857i	0.806649	−	0.160452i	0.581156	+	0.813792i	$0.302601\pi$
$504$	−0.0464141	−	0.233339i	−0.00206745	−	0.0103938i
$505$	−19.6791	+	5.03323i	−0.875710	+	0.223976i
$506$	−4.58757	−	4.58757i	−0.203942	−	0.203942i
$507$	12.4627	−	8.32730i	0.553487	−	0.369828i
$508$	−4.95633	+	11.9656i	−0.219901	+	0.530889i
$509$	4.10631			0.182009			0.0910046	−	0.995850i	$-0.470992\pi$
$509$	4.10631			0.182009			0.0910046	+	0.995850i	$0.470992\pi$
$510$	−11.3279	+	0.389318i	−0.501609	+	0.0172393i
$511$	−1.57952			−0.0698737
$512$	−0.382683	+	0.923880i	−0.0169124	+	0.0408301i
$513$	−16.3958	+	10.9553i	−0.723892	+	0.483689i
$514$	−13.6680	−	13.6680i	−0.602868	−	0.602868i
$515$	−20.7198	+	34.9610i	−0.913024	+	1.54057i
$516$	0.0685962	+	0.344856i	0.00301978	+	0.0151814i
$517$	−4.01163	+	0.797963i	−0.176431	+	0.0350944i
$518$	1.32085	−	0.547114i	0.0580348	−	0.0240388i
$519$	7.80552	−	18.8442i	0.342624	−	0.827168i
$520$	1.60866	−	1.20548i	0.0705445	−	0.0528637i
$521$	−29.6920	+	5.90611i	−1.30083	+	0.258751i	−0.796437	−	0.604722i	$-0.793284\pi$
$521$	−29.6920	+	5.90611i	−1.30083	+	0.258751i	−0.504394	+	0.863473i	$0.668284\pi$
$522$	−0.900257	−	0.179072i	−0.0394032	−	0.00783778i
$523$		−	40.6250i		−	1.77641i	−0.459450	−	0.888204i	$-0.651953\pi$
$523$		−	40.6250i		−	1.77641i	0.459450	−	0.888204i	$-0.348047\pi$
$524$	1.16106	−	5.83703i	0.0507210	−	0.254992i
$525$	−0.275855	+	0.942946i	−0.0120393	+	0.0411535i
$526$			3.89136i			0.169672i
$527$	−22.7010	−	15.8236i	−0.988870	−	0.689289i
$528$	1.04840	+	1.04840i	0.0456256	+	0.0456256i
$529$	−2.27339	−	5.48844i	−0.0988429	−	0.238628i
$530$	−21.7980	−	12.9187i	−0.946846	−	0.561153i
$531$	12.6066	−	12.6066i	0.547078	−	0.547078i
$532$	0.111422	−	0.560155i	0.00483074	−	0.0242858i
$533$	1.08550	−	1.62457i	0.0470183	−	0.0703678i
$534$	−4.80982	+	7.19840i	−0.208141	+	0.311505i
$535$	−12.0670	+	0.652821i	−0.521700	+	0.0282239i
$536$	5.90230	+	2.44481i	0.254940	+	0.105600i
$537$	6.16168	+	30.9768i	0.265896	+	1.33675i
$538$	−11.5743	−	7.73370i	−0.499003	−	0.333423i
$539$	−6.99359	+	4.67297i	−0.301235	+	0.201279i
$540$	−11.6384	−	4.09929i	−0.500837	−	0.176405i
$541$	−29.8441	−	5.93636i	−1.28310	−	0.255224i	−0.493984	−	0.869471i	$-0.664460\pi$
$541$	−29.8441	−	5.93636i	−1.28310	−	0.255224i	−0.789114	+	0.614247i	$0.789460\pi$
$542$	6.95993	+	2.88290i	0.298955	+	0.123831i
$543$	−5.65867	+	5.65867i	−0.242837	+	0.242837i
$544$	2.85750	+	2.97232i	0.122514	+	0.127437i
$545$	38.1018	+	13.4202i	1.63210	+	0.574860i
$546$	−0.163200	+	0.0675999i	−0.00698434	+	0.00289301i
$547$	10.6144	+	15.8856i	0.453841	+	0.679221i	0.985871	−	0.167504i	$-0.0535707\pi$
$547$	10.6144	+	15.8856i	0.453841	+	0.679221i	−0.532030	+	0.846725i	$0.678571\pi$
$548$	−0.758850			−0.0324165
$549$	−1.87616	−	2.80787i	−0.0800726	−	0.119837i
$550$	1.80755	+	5.75265i	0.0770743	+	0.245294i
$551$	−1.83214	−	1.22420i	−0.0780519	−	0.0521526i
$552$	2.53099	+	6.11036i	0.107726	+	0.260074i
$553$	−0.521778	−	1.25968i	−0.0221882	−	0.0535672i
$554$	−20.3892	−	13.6236i	−0.866254	−	0.578813i
$555$	3.48750	−	24.3420i	0.148036	−	1.03326i
$556$	−9.57391	−	14.3284i	−0.406024	−	0.607658i
$557$	25.4714			1.07926			0.539628	−	0.841903i	$-0.318565\pi$
$557$	25.4714			1.07926			0.539628	+	0.841903i	$0.318565\pi$
$558$	−5.55025	−	8.30654i	−0.234961	−	0.351644i
$559$	−0.237542	+	0.0983930i	−0.0100469	+	0.00416158i
$560$	0.322310	−	0.154402i	0.0136201	−	0.00652468i
$561$	5.69279	−	2.22773i	0.240350	−	0.0940550i
$562$	−19.4229	+	19.4229i	−0.819305	+	0.819305i
$563$	9.91234	+	4.10583i	0.417755	+	0.173040i	0.581652	−	0.813438i	$-0.302406\pi$
$563$	9.91234	+	4.10583i	0.417755	+	0.173040i	−0.163897	+	0.986477i	$0.552406\pi$
$564$	4.08954	+	0.813461i	0.172201	+	0.0342529i
$565$	12.4496	−	35.3461i	0.523760	−	1.48702i
$566$	−3.19254	+	2.13319i	−0.134192	+	0.0896645i
$567$	0.308120	+	0.205879i	0.0129398	+	0.00864611i
$568$	0.812232	+	4.08336i	0.0340805	+	0.171334i
$569$	42.3883	+	17.5578i	1.77701	+	0.736061i	0.993386	+	0.114826i	$0.0366309\pi$
$569$	42.3883	+	17.5578i	1.77701	+	0.736061i	0.783624	+	0.621236i	$0.213369\pi$
$570$	−7.31134	−	6.56086i	−0.306238	−	0.274804i
$571$	−0.850921	+	1.27349i	−0.0356099	+	0.0532940i	−0.848847	−	0.528638i	$-0.822703\pi$
$571$	−0.850921	+	1.27349i	−0.0356099	+	0.0532940i	0.813238	+	0.581932i	$0.197703\pi$
$572$	−0.602338	+	0.901462i	−0.0251850	+	0.0376920i
$573$	−5.66453	+	28.4775i	−0.236639	+	1.18967i
$574$	0.245623	−	0.245623i	0.0102521	−	0.0102521i
$575$	−2.37083	+	26.7936i	−0.0988704	+	1.11737i
$576$	0.569643	+	1.37524i	0.0237351	+	0.0573016i
$577$	−13.0282	−	13.0282i	−0.542372	−	0.542372i	0.381851	−	0.924224i	$-0.375287\pi$
$577$	−13.0282	−	13.0282i	−0.542372	−	0.542372i	−0.924224	+	0.381851i	$0.875287\pi$
$578$	15.9499	−	5.88215i	0.663430	−	0.244665i
$579$			24.4544i			1.01629i
$580$	−0.0744863	−	1.37683i	−0.00309288	−	0.0571697i
$581$	−0.00315109	+	0.0158416i	−0.000130729	+	0.000657220i
$582$		−	10.8152i		−	0.448304i
$583$	13.4034	+	2.66611i	0.555114	+	0.110419i
$584$	9.69275	−	1.92801i	0.401089	−	0.0797816i
$585$	0.424376	−	2.96206i	0.0175458	−	0.122466i
$586$	−2.51221	+	6.06501i	−0.103778	+	0.250543i
$587$	3.32890	−	1.37888i	0.137398	−	0.0569123i	−0.312925	−	0.949778i	$-0.601309\pi$
$587$	3.32890	−	1.37888i	0.137398	−	0.0569123i	0.450323	+	0.892866i	$0.351309\pi$
$588$	8.40972	−	1.67280i	0.346811	−	0.0689850i
$589$	−4.67875	−	23.5217i	−0.192784	−	0.969193i
$590$	23.0392	+	13.6543i	0.948509	+	0.562139i
$591$	−8.69260	−	8.69260i	−0.357566	−	0.357566i
$592$	−7.43760	+	4.96965i	−0.305684	+	0.204251i
$593$	1.74970	−	4.22415i	0.0718516	−	0.173465i	−0.883874	−	0.467726i	$-0.845073\pi$
$593$	1.74970	−	4.22415i	0.0718516	−	0.173465i	0.955725	+	0.294261i	$0.0950734\pi$
$594$	6.65498			0.273057
$595$	−0.0506125	−	1.47267i	−0.00207491	−	0.0603734i
$596$	0.969715			0.0397211
$597$	7.97667	−	19.2574i	0.326463	−	0.788152i
$598$	−4.02122	+	2.68690i	−0.164440	+	0.109875i
$599$	−10.0552	−	10.0552i	−0.410844	−	0.410844i	0.471189	−	0.882032i	$-0.343825\pi$
$599$	−10.0552	−	10.0552i	−0.410844	−	0.410844i	−0.882032	+	0.471189i	$0.843825\pi$
$600$	0.541805	−	6.12313i	0.0221191	−	0.249976i
$601$	4.73508	+	23.8048i	0.193148	+	0.971020i	0.948759	+	0.316000i	$0.102340\pi$
$601$	4.73508	+	23.8048i	0.193148	+	0.971020i	−0.755612	+	0.655020i	$0.772660\pi$
$602$	−0.0448324	+	0.00891772i	−0.00182723	+	0.000363459i
$603$	8.78585	−	3.63922i	0.357788	−	0.148200i
$604$	5.57324	−	13.4550i	0.226772	−	0.547475i
$605$	12.7998	+	17.0809i	0.520387	+	0.694436i
$606$	−10.9535	+	2.17878i	−0.444954	+	0.0885069i
$607$	−14.8165	−	2.94718i	−0.601382	−	0.119622i	−0.114995	−	0.993366i	$-0.536685\pi$
$607$	−14.8165	−	2.94718i	−0.601382	−	0.119622i	−0.486386	+	0.873744i	$0.661685\pi$
$608$			3.57341i			0.144921i
$609$	−0.0236382	+	0.118837i	−0.000957867	+	0.00481552i
$610$	3.38804	−	3.77560i	0.137178	−	0.152869i
$611$			3.04903i			0.123350i
$612$	6.13625	+	0.120855i	0.248043	+	0.00488528i
$613$	8.10539	+	8.10539i	0.327374	+	0.327374i	0.851587	−	0.524213i	$-0.175641\pi$
$613$	8.10539	+	8.10539i	0.327374	+	0.327374i	−0.524213	+	0.851587i	$0.675641\pi$
$614$	5.88101	+	14.1980i	0.237338	+	0.572986i
$615$	−1.48046	−	5.78837i	−0.0596979	−	0.233410i
$616$	−0.136295	+	0.136295i	−0.00549148	+	0.00549148i
$617$	2.46134	−	12.3740i	0.0990896	−	0.498157i	−0.899086	−	0.437773i	$-0.855767\pi$
$617$	2.46134	−	12.3740i	0.0990896	−	0.498157i	0.998175	−	0.0603843i	$-0.0192326\pi$
$618$	−12.4137	+	18.5784i	−0.499352	+	0.747333i
$619$	25.6370	−	38.3685i	1.03044	−	1.54216i	0.204128	−	0.978944i	$-0.434564\pi$
$619$	25.6370	−	38.3685i	1.03044	−	1.54216i	0.826310	−	0.563215i	$-0.190436\pi$
$620$	10.0229	−	11.1694i	0.402528	−	0.448572i
$621$	27.4266	+	11.3605i	1.10059	+	0.455880i
$622$	−0.173703	−	0.873263i	−0.00696485	−	0.0350147i
$623$	−0.935816	−	0.625292i	−0.0374927	−	0.0250518i
$624$	0.918970	−	0.614036i	0.0367882	−	0.0245811i
$625$	13.4742	−	21.0582i	0.538966	−	0.842327i
$626$	11.0526	+	2.19850i	0.441751	+	0.0878698i
$627$	4.89484	+	2.02751i	0.195481	+	0.0809710i
$628$	0.186205	−	0.186205i	0.00743039	−	0.00743039i
$629$	6.48157	+	36.3077i	0.258437	+	1.44768i
$630$	0.176734	−	0.501770i	0.00704124	−	0.0199910i
$631$	−30.2365	+	12.5244i	−1.20370	+	0.498587i	−0.892192	−	0.451657i	$-0.850833\pi$
$631$	−30.2365	+	12.5244i	−1.20370	+	0.498587i	−0.311505	+	0.950245i	$0.600833\pi$
$632$	4.73951	+	7.09318i	0.188528	+	0.282152i
$633$	15.4850			0.615472
$634$	17.3366	+	25.9461i	0.688526	+	1.03045i
$635$	−23.1754	+	17.3669i	−0.919688	+	0.689184i
$636$	−11.5836	−	7.73989i	−0.459318	−	0.306907i
$637$	2.39943	+	5.79273i	0.0950688	+	0.229516i
$638$	0.284586	+	0.687051i	0.0112669	+	0.0272006i
$639$	5.15292	+	3.44307i	0.203846	+	0.136206i
$640$	−1.78940	+	1.34092i	−0.0707322	+	0.0530043i
$641$	2.50908	+	3.75510i	0.0991025	+	0.148317i	0.877707	−	0.479197i	$-0.159072\pi$
$641$	2.50908	+	3.75510i	0.0991025	+	0.148317i	−0.778605	+	0.627515i	$0.784072\pi$
$642$	−6.64423			−0.262227
$643$	−6.47403	−	9.68906i	−0.255311	−	0.382099i	0.681568	−	0.731755i	$-0.261299\pi$
$643$	−6.47403	−	9.68906i	−0.255311	−	0.382099i	−0.936878	+	0.349656i	$0.886299\pi$
$644$	−0.794366	+	0.329037i	−0.0313024	+	0.0129659i
$645$	−0.261198	+	0.741574i	−0.0102847	+	0.0291994i
$646$	13.4984	+	5.90523i	0.531086	+	0.232338i
$647$	−27.7774	+	27.7774i	−1.09204	+	1.09204i	−0.0967330	+	0.995310i	$0.530839\pi$
$647$	−27.7774	+	27.7774i	−1.09204	+	1.09204i	−0.995310	+	0.0967330i	$0.969161\pi$
$648$	−2.14209	−	0.887282i	−0.0841492	−	0.0348557i
$649$	−14.1666	−	2.81792i	−0.556089	−	0.110613i
$650$	4.46874	−	0.484936i	0.175279	−	0.0190208i
$651$	−1.09649	+	0.732653i	−0.0429749	+	0.0287149i
$652$	−0.330227	−	0.220650i	−0.0129327	−	0.00864133i
$653$	−1.64904	−	8.29028i	−0.0645319	−	0.324424i	0.935012	−	0.354615i	$-0.115388\pi$
$653$	−1.64904	−	8.29028i	−0.0645319	−	0.324424i	−0.999544	+	0.0301918i	$0.990388\pi$
$654$	20.5195	+	8.49947i	0.802377	+	0.332355i
$655$	8.88789	−	9.90455i	0.347278	−	0.387003i
$656$	−1.20746	+	1.80709i	−0.0471434	+	0.0705550i
$657$	8.17288	−	12.2316i	0.318854	−	0.477199i
$658$	−0.105752	+	0.531654i	−0.00412266	+	0.0207260i
$659$	−31.6147	+	31.6147i	−1.23153	+	1.23153i	−0.268158	+	0.963375i	$0.586415\pi$
$659$	−31.6147	+	31.6147i	−1.23153	+	1.23153i	−0.963375	+	0.268158i	$0.913585\pi$
$660$	0.821498	+	3.21193i	0.0319768	+	0.125024i
$661$	13.0873	+	31.5954i	0.509035	+	1.22892i	0.944440	+	0.328685i	$0.106605\pi$
$661$	13.0873	+	31.5954i	0.509035	+	1.22892i	−0.435405	+	0.900235i	$0.643395\pi$
$662$	−9.95109	−	9.95109i	−0.386760	−	0.386760i
$663$	−0.800845	−	4.48608i	−0.0311022	−	0.174225i
$664$		−	0.101059i		−	0.00392184i
$665$	0.852933	−	0.950498i	0.0330753	−	0.0368587i
$666$	−2.59768	+	13.0594i	−0.100658	+	0.506042i
$667$			3.31729i			0.128446i
$668$	−10.2605	−	2.04093i	−0.396989	−	0.0789661i
$669$	19.6210	−	3.90287i	0.758594	−	0.150894i
$670$	8.56657	+	11.4317i	0.330956	+	0.441647i
$671$	−1.04701	+	2.52771i	−0.0404194	+	0.0975811i
$672$	0.181536	−	0.0751948i	0.00700292	−	0.00290070i
$673$	−13.6285	+	2.71088i	−0.525340	+	0.104497i	−0.450634	−	0.892709i	$-0.648802\pi$
$673$	−13.6285	+	2.71088i	−0.525340	+	0.104497i	−0.0747062	+	0.997206i	$0.523802\pi$
$674$	0.847108	+	4.25870i	0.0326294	+	0.164039i
$675$	−17.7145	−	21.1537i	−0.681830	−	0.814207i
$676$	−8.62091	−	8.62091i	−0.331573	−	0.331573i
$677$	−23.7103	+	15.8427i	−0.911261	+	0.608885i	−0.920359	−	0.391073i	$-0.872104\pi$
$677$	−23.7103	+	15.8427i	−0.911261	+	0.608885i	0.00909841	+	0.999959i	$0.497104\pi$
$678$	7.88475	−	19.0355i	0.302812	−	0.731053i
$679$	1.40601			0.0539577
$680$	2.10817	+	8.97528i	0.0808445	+	0.344186i
$681$	−31.9969			−1.22612
$682$	−3.09738	+	7.47773i	−0.118605	+	0.286337i
$683$	14.5080	−	9.69395i	0.555134	−	0.370929i	−0.246133	−	0.969236i	$-0.579160\pi$
$683$	14.5080	−	9.69395i	0.555134	−	0.370929i	0.801267	+	0.598308i	$0.204160\pi$
$684$	3.76124	+	3.76124i	0.143814	+	0.143814i
$685$	−1.45974	−	0.865121i	−0.0557737	−	0.0330546i
$686$	0.435734	+	2.19058i	0.0166364	+	0.0836369i
$687$	10.1300	−	2.01498i	0.386483	−	0.0768762i
$688$	0.264230	−	0.109448i	0.0100737	−	0.00417265i
$689$	3.89849	−	9.41178i	0.148520	−	0.358560i
$690$	−2.09740	+	14.6394i	−0.0798467	+	0.557313i
$691$	−6.41661	+	1.27634i	−0.244099	+	0.0485544i	−0.315624	−	0.948884i	$-0.602214\pi$
$691$	−6.41661	+	1.27634i	−0.244099	+	0.0485544i	0.0715242	+	0.997439i	$0.477214\pi$
$692$	−16.2719	−	3.23669i	−0.618566	−	0.123040i
$693$			0.286918i			0.0108991i
$694$	3.80695	−	19.1388i	0.144510	−	0.726499i
$695$	−2.08160	−	38.4770i	−0.0789596	−	1.45951i
$696$		−	0.758101i		−	0.0287357i
$697$	4.83080	+	7.54742i	0.182980	+	0.285879i
$698$	20.6280	+	20.6280i	0.780782	+	0.780782i
$699$	0.173797	+	0.419582i	0.00657359	+	0.0158701i
$700$	0.796027	+	0.0704364i	0.0300870	+	0.00266225i
$701$	−34.0173	+	34.0173i	−1.28482	+	1.28482i	−0.346921	+	0.937895i	$0.612773\pi$
$701$	−34.0173	+	34.0173i	−1.28482	+	1.28482i	−0.937895	+	0.346921i	$0.887227\pi$
$702$	0.967824	−	4.86558i	0.0365282	−	0.183640i
$703$	−17.7586	+	26.5776i	−0.669778	+	1.00239i
$704$	0.670012	−	1.00274i	0.0252520	−	0.0377923i
$705$	6.93934	+	6.22704i	0.261351	+	0.234524i
$706$	−3.56068	−	1.47488i	−0.134008	−	0.0555079i
$707$	−0.283249	−	1.42399i	−0.0106527	−	0.0535545i
$708$	12.2431	+	8.18060i	0.460125	+	0.307446i
$709$	−5.08081	+	3.39489i	−0.190814	+	0.127498i	−0.647308	−	0.762229i	$-0.724105\pi$
$709$	−5.08081	+	3.39489i	−0.190814	+	0.127498i	0.456494	+	0.889727i	$0.349105\pi$
$710$	−3.09278	+	8.78081i	−0.116070	+	0.329538i
$711$	12.4547	+	2.47738i	0.467086	+	0.0929092i
$712$	6.50591	+	2.69484i	0.243819	+	0.100993i
$713$	−25.5300	+	25.5300i	−0.956105	+	0.956105i
$714$	0.0159533	−	0.810007i	0.000597038	−	0.0303137i
$715$	−2.18637	+	1.04738i	−0.0817657	+	0.0391697i
$716$	23.7346	−	9.83118i	0.887003	−	0.367409i
$717$	−18.4182	−	27.5648i	−0.687841	−	1.02943i
$718$	−15.4442			−0.576374
$719$	12.4873	+	18.6886i	0.465699	+	0.696968i	0.987767	−	0.155936i	$-0.0498392\pi$
$719$	12.4873	+	18.6886i	0.465699	+	0.696968i	−0.522068	+	0.852904i	$0.674839\pi$
$720$	−0.472056	+	3.29485i	−0.0175925	+	0.122792i
$721$	−2.41525	−	1.61382i	−0.0899487	−	0.0601018i
$722$	−2.38440	−	5.75646i	−0.0887383	−	0.214233i
$723$	−9.89696	−	23.8934i	−0.368072	−	0.888604i
$724$	5.41226	+	3.61636i	0.201145	+	0.134401i
$725$	1.42636	−	2.73341i	0.0529737	−	0.101516i
$726$	6.51987	+	9.75767i	0.241975	+	0.362141i
$727$	−37.0238			−1.37314			−0.686569	−	0.727065i	$-0.740884\pi$
$727$	−37.0238			−1.37314			−0.686569	+	0.727065i	$0.740884\pi$
$728$	0.0798266	+	0.119469i	0.00295857	+	0.00442782i
$729$	−21.9920	+	9.10939i	−0.814519	+	0.337385i
$730$	20.8432	+	7.34140i	0.771440	+	0.271717i
$731$	0.0232204	−	1.17898i	0.000858837	−	0.0436062i
$732$	1.97220	−	1.97220i	0.0728945	−	0.0728945i
$733$	−49.2046	−	20.3812i	−1.81741	−	0.752797i	−0.977777	−	0.209648i	$-0.932768\pi$
$733$	−49.2046	−	20.3812i	−1.81741	−	0.752797i	−0.839636	−	0.543149i	$-0.817232\pi$
$734$	23.1325	+	4.60135i	0.853837	+	0.169839i
$735$	18.0841	+	6.36961i	0.667043	+	0.234947i
$736$	4.47302	−	2.98877i	0.164878	−	0.110168i
$737$	−6.40613	−	4.28044i	−0.235973	−	0.157672i
$738$	0.631150	+	3.17300i	0.0232329	+	0.116800i
$739$	8.79195	+	3.64174i	0.323417	+	0.133964i	0.538484	−	0.842636i	$-0.318997\pi$
$739$	8.79195	+	3.64174i	0.323417	+	0.133964i	−0.215067	+	0.976599i	$0.568997\pi$
$740$	−19.9727	+	1.08052i	−0.734211	+	0.0397208i
$741$	2.19420	−	3.28386i	0.0806060	−	0.120635i
$742$	1.00621	−	1.50590i	0.0369391	−	0.0552833i
$743$	−4.92592	+	24.7643i	−0.180715	+	0.908513i	0.778890	+	0.627161i	$0.215783\pi$
$743$	−4.92592	+	24.7643i	−0.180715	+	0.908513i	−0.959604	+	0.281353i	$0.909217\pi$
$744$	5.83436	−	5.83436i	0.213898	−	0.213898i
$745$	1.86536	+	1.10552i	0.0683415	+	0.0405030i
$746$	−1.23704	−	2.98648i	−0.0452913	−	0.109343i
$747$	−0.106371	−	0.106371i	−0.00389190	−	0.00389190i
$748$	−2.68058	−	4.18801i	−0.0980118	−	0.153129i
$749$		−	0.863771i		−	0.0315615i
$750$	8.02285	−	11.1609i	0.292953	−	0.407538i
$751$	−5.98240	+	30.0756i	−0.218301	+	1.09747i	0.703763	+	0.710435i	$0.251502\pi$
$751$	−5.98240	+	30.0756i	−0.218301	+	1.09747i	−0.922064	+	0.387038i	$0.873498\pi$
$752$		−	3.39159i		−	0.123679i
$753$	23.5846	+	4.69127i	0.859470	+	0.170959i
$754$	0.543703	−	0.108149i	0.0198005	−	0.00393856i
$755$	26.0600	−	19.5285i	0.948421	−	0.710715i
$756$	0.337516	−	0.814835i	0.0122753	−	0.0296353i
$757$	24.1607	−	10.0077i	0.878137	−	0.363736i	0.102363	−	0.994747i	$-0.467360\pi$
$757$	24.1607	−	10.0077i	0.878137	−	0.363736i	0.775774	+	0.631011i	$0.217360\pi$
$758$	34.4419	−	6.85093i	1.25099	−	0.248837i
$759$	−1.55607	−	7.82292i	−0.0564819	−	0.283954i
$760$	−4.07384	+	6.87387i	−0.147774	+	0.249342i
$761$	34.4423	+	34.4423i	1.24853	+	1.24853i	0.956368	+	0.292165i	$0.0943757\pi$
$761$	34.4423	+	34.4423i	1.24853	+	1.24853i	0.292165	+	0.956368i	$0.405624\pi$
$762$	−13.2393	+	8.84619i	−0.479608	+	0.320464i
$763$	−1.10496	+	2.66760i	−0.0400022	+	0.0965738i
$764$	23.6174			0.854446
$765$	11.6660	+	7.22806i	0.421786	+	0.261331i
$766$	−33.5215			−1.21118
$767$	−4.12047	+	9.94768i	−0.148781	+	0.359190i
$768$	−1.02222	+	0.683024i	−0.0368861	+	0.0246465i
$769$	−32.3592	−	32.3592i	−1.16690	−	1.16690i	−0.982932	−	0.183971i	$-0.941105\pi$
$769$	−32.3592	−	32.3592i	−1.16690	−	1.16690i	−0.183971	−	0.982932i	$-0.558895\pi$
$770$	−0.417561	+	0.106797i	−0.0150479	+	0.00384871i
$771$	−4.63608	−	23.3072i	−0.166964	−	0.839387i
$772$	19.5089	−	3.88056i	0.702141	−	0.139665i
$773$	17.6458	−	7.30911i	0.634674	−	0.262890i	−0.0420637	−	0.999115i	$-0.513393\pi$
$773$	17.6458	−	7.30911i	0.634674	−	0.262890i	0.676737	+	0.736224i	$0.263393\pi$
$774$	0.162918	−	0.393319i	0.00585597	−	0.0141376i
$775$	32.0137	−	10.0591i	1.14997	−	0.361333i
$776$	−8.62802	+	1.71622i	−0.309728	+	0.0616087i
$777$	1.72389	+	0.342903i	0.0618441	+	0.0123016i
$778$		−	0.506394i		−	0.0181551i
$779$	−1.51514	+	7.61711i	−0.0542855	+	0.272911i
$780$	2.46777	−	0.133506i	0.0883605	−	0.00478029i
$781$		−	5.02097i		−	0.179664i
$782$	−3.89805	−	21.8357i	−0.139394	−	0.780842i
$783$	−2.40612	−	2.40612i	−0.0859878	−	0.0859878i
$784$	−2.66901	−	6.44356i	−0.0953217	−	0.230127i
$785$	0.570469	−	0.145906i	0.0203609	−	0.00520760i
$786$	5.17368	−	5.17368i	0.184539	−	0.184539i
$787$	8.53734	−	42.9201i	0.304323	−	1.52994i	−0.461648	−	0.887063i	$-0.652742\pi$
$787$	8.53734	−	42.9201i	0.304323	−	1.52994i	0.765972	−	0.642874i	$-0.222258\pi$
$788$	−5.55529	+	8.31407i	−0.197899	+	0.296177i
$789$	−2.65790	+	3.97782i	−0.0946236	+	0.141614i
$790$	1.03048	+	19.0478i	0.0366630	+	0.677691i
$791$	2.47467	+	1.02504i	0.0879893	+	0.0364463i
$792$	−0.350221	−	1.76068i	−0.0124446	−	0.0625630i
$793$	1.69579	+	1.13309i	0.0602193	+	0.0402373i
$794$	−12.1959	+	8.14905i	−0.432817	+	0.289199i
$795$	−13.4585	−	28.0943i	−0.477325	−	0.996403i
$796$	−16.6287	−	3.30766i	−0.589389	−	0.117237i
$797$	22.3221	+	9.24614i	0.790691	+	0.327515i	0.741221	−	0.671261i	$-0.234247\pi$
$797$	22.3221	+	9.24614i	0.790691	+	0.327515i	0.0494697	+	0.998776i	$0.484247\pi$
$798$	0.496496	−	0.496496i	0.0175758	−	0.0175758i
$799$	−12.8116	−	5.60477i	−0.453240	−	0.198282i
$800$	−4.97082	+	0.539420i	−0.175745	+	0.0190714i
$801$	9.68436	−	4.01139i	0.342180	−	0.141736i
$802$	−8.82532	−	13.2080i	−0.311633	−	0.466391i
$803$	−11.9184			−0.420590
$804$	4.36357	+	6.53054i	0.153891	+	0.230314i
$805$	−1.90317	−	0.272669i	−0.0670780	−	0.00961032i
$806$	5.01667	+	3.35203i	0.176705	+	0.118070i
$807$	−6.54915	−	15.8110i	−0.230541	−	0.556575i
$808$	3.47633	+	8.39259i	0.122297	+	0.295250i
$809$	−17.5665	−	11.7376i	−0.617606	−	0.412671i	0.207030	−	0.978335i	$-0.433620\pi$
$809$	−17.5665	−	11.7376i	−0.617606	−	0.412671i	−0.824636	+	0.565663i	$0.808620\pi$
$810$	−3.10902	−	4.14886i	−0.109240	−	0.145776i
$811$	−11.7130	−	17.5298i	−0.411301	−	0.615555i	0.566758	−	0.823884i	$-0.308197\pi$
$811$	−11.7130	−	17.5298i	−0.411301	−	0.615555i	−0.978059	+	0.208329i	$0.933197\pi$
$812$	0.0985555			0.00345862
$813$	5.14548	+	7.70075i	0.180460	+	0.270077i
$814$	9.96657	−	4.12829i	0.349328	−	0.144696i
$815$	−0.383679	−	0.800919i	−0.0134397	−	0.0280550i
$816$	0.890822	+	4.99010i	0.0311850	+	0.174689i
$817$	0.722661	−	0.722661i	0.0252827	−	0.0252827i
$818$	−4.13080	−	1.71104i	−0.144430	−	0.0598249i
$819$	0.209771	+	0.0417261i	0.00733000	+	0.00145803i
$820$	−4.38285	+	2.09960i	−0.153056	+	0.0733211i
$821$	20.6916	−	13.8257i	0.722141	−	0.482519i	−0.139382	−	0.990239i	$-0.544512\pi$
$821$	20.6916	−	13.8257i	0.722141	−	0.482519i	0.861522	+	0.507720i	$0.169512\pi$
$822$	−0.775710	−	0.518313i	−0.0270560	−	0.0180782i
$823$	−0.340468	−	1.71165i	−0.0118680	−	0.0596643i	0.974397	−	0.224832i	$-0.0721834\pi$
$823$	−0.340468	−	1.71165i	−0.0118680	−	0.0596643i	−0.986265	+	0.165168i	$0.947183\pi$
$824$	16.7912	+	6.95512i	0.584947	+	0.242293i
$825$	−2.08149	+	7.11507i	−0.0724681	+	0.247715i
$826$	−1.06350	+	1.59165i	−0.0370040	+	0.0553804i
$827$	16.6158	−	24.8673i	0.577788	−	0.864721i	−0.421322	−	0.906911i	$-0.638434\pi$
$827$	16.6158	−	24.8673i	0.577788	−	0.864721i	0.999110	+	0.0421905i	$0.0134336\pi$
$828$	1.56226	−	7.85400i	0.0542922	−	0.272945i
$829$	−6.91444	+	6.91444i	−0.240148	+	0.240148i	−0.816911	−	0.576763i	$-0.804316\pi$
$829$	−6.91444	+	6.91444i	−0.240148	+	0.240148i	0.576763	+	0.816911i	$0.304316\pi$
$830$	0.115211	−	0.194398i	0.00399904	−	0.00674766i
$831$	−11.5369	−	27.8526i	−0.400212	−	0.966197i
$832$	−0.635686	−	0.635686i	−0.0220385	−	0.0220385i
$833$	−28.7508	−	0.566256i	−0.996158	−	0.0196196i
$834$		−	21.1859i		−	0.733609i
$835$	−17.4105	−	15.6233i	−0.602514	−	0.540668i
$836$	0.840741	−	4.22669i	0.0290776	−	0.146183i
$837$		−	37.0351i		−	1.28012i
$838$	−27.2835	−	5.42702i	−0.942491	−	0.187473i
$839$	3.23303	−	0.643089i	0.111616	−	0.0222019i	−0.138966	−	0.990297i	$-0.544378\pi$
$839$	3.23303	−	0.643089i	0.111616	−	0.0222019i	0.250582	+	0.968095i	$0.419378\pi$
$840$	0.434932	+	0.0623130i	0.0150066	+	0.00215000i
$841$	−10.9523	+	26.4412i	−0.377666	+	0.911766i
$842$	14.2623	−	5.90763i	0.491511	−	0.203590i
$843$	−33.1207	+	6.58812i	−1.14074	+	0.226907i
$844$	−2.45725	−	12.3534i	−0.0845819	−	0.425222i
$845$	−6.75513	−	26.4115i	−0.232384	−	0.908584i
$846$	−3.56986	−	3.56986i	−0.122734	−	0.122734i
$847$	−1.26853	+	0.847604i	−0.0435872	+	0.0291240i
$848$	−4.33649	+	10.4692i	−0.148916	+	0.359514i
$849$	−4.72049			−0.162007
$850$	−6.17689	+	19.6684i	−0.211865	+	0.674621i
$851$	48.1217			1.64959
$852$	−1.95876	+	4.72886i	−0.0671060	+	0.162008i
$853$	16.6404	−	11.1187i	0.569756	−	0.380699i	−0.237066	−	0.971494i	$-0.576186\pi$
$853$	16.6404	−	11.1187i	0.569756	−	0.380699i	0.806822	+	0.590795i	$0.201186\pi$
$854$	0.256392	+	0.256392i	0.00877355	+	0.00877355i
$855$	2.94721	+	11.5231i	0.100793	+	0.394083i
$856$	1.05435	+	5.30056i	0.0360368	+	0.181169i
$857$	−4.00775	+	0.797191i	−0.136902	+	0.0272315i	−0.263066	−	0.964778i	$-0.584734\pi$
$857$	−4.00775	+	0.797191i	−0.136902	+	0.0272315i	0.126164	+	0.992009i	$0.459734\pi$
$858$	−1.23144	+	0.510080i	−0.0420407	+	0.0174138i
$859$	−11.5477	+	27.8786i	−0.394002	+	0.951204i	0.595057	+	0.803683i	$0.297129\pi$
$859$	−11.5477	+	27.8786i	−0.394002	+	0.951204i	−0.989059	+	0.147521i	$0.952871\pi$
$860$	0.633053	+	0.0906979i	0.0215869	+	0.00309277i
$861$	0.418847	−	0.0833139i	0.0142743	−	0.00283933i
$862$	−33.1132	−	6.58663i	−1.12784	−	0.224341i
$863$			0.826444i			0.0281325i	0.999901	+	0.0140662i	$0.00447757\pi$
$863$			0.826444i			0.0281325i	−0.999901	+	0.0140662i	$0.995522\pi$
$864$	−1.07656	+	5.41224i	−0.0366254	+	0.184128i
$865$	−27.6110	−	24.7768i	−0.938802	−	0.842437i
$866$		−	16.8761i		−	0.573474i
$867$	20.3220	+	4.88135i	0.690170	+	0.165779i
$868$	0.758485	+	0.758485i	0.0257447	+	0.0257447i
$869$	−3.93711	−	9.50503i	−0.133557	−	0.322436i
$870$	0.864267	−	1.45830i	0.0293014	−	0.0494409i
$871$	−4.06114	+	4.06114i	−0.137607	+	0.137607i
$872$	3.52444	−	17.7186i	0.119353	−	0.600027i
$873$	−7.27511	+	10.8880i	−0.246225	+	0.368502i
$874$	10.6801	−	15.9839i	0.361260	−	0.540664i
$875$	1.45095	+	1.04300i	0.0490511	+	0.0352597i
$876$	11.2250	+	4.64954i	0.379257	+	0.157093i
$877$	4.98473	+	25.0599i	0.168322	+	0.846214i	0.968989	+	0.247104i	$0.0794789\pi$
$877$	4.98473	+	25.0599i	0.168322	+	0.846214i	−0.800667	+	0.599110i	$0.795521\pi$
$878$	−14.0203	−	9.36806i	−0.473162	−	0.316157i
$879$	−6.71057	+	4.48386i	−0.226342	+	0.151237i
$880$	2.43202	−	1.16505i	0.0819833	−	0.0392739i
$881$	32.0101	+	6.36721i	1.07845	+	0.214517i	0.702184	−	0.711995i	$-0.252208\pi$
$881$	32.0101	+	6.36721i	1.07845	+	0.214517i	0.376265	+	0.926512i	$0.377208\pi$
$882$	−9.59154	−	3.97295i	−0.322964	−	0.133776i
$883$	10.5713	−	10.5713i	0.355753	−	0.355753i	−0.506492	−	0.862245i	$-0.669058\pi$
$883$	10.5713	−	10.5713i	0.355753	−	0.355753i	0.862245	+	0.506492i	$0.169058\pi$
$884$	−3.45177	+	1.35077i	−0.116096	+	0.0454312i
$885$	14.2249	+	29.6940i	0.478164	+	0.998154i
$886$	9.44694	−	3.91305i	0.317376	−	0.131462i
$887$	−20.6208	−	30.8613i	−0.692380	−	1.03622i	−0.996501	−	0.0835864i	$-0.973363\pi$
$887$	−20.6208	−	30.8613i	−0.692380	−	1.03622i	0.304121	−	0.952634i	$-0.401637\pi$
$888$	−10.9972			−0.369043
$889$	−1.15003	−	1.72115i	−0.0385709	−	0.0577254i
$890$	9.44266	+	12.6008i	0.316519	+	0.422381i
$891$	2.32494	+	1.55348i	0.0778885	+	0.0520434i
$892$	−6.22717	−	15.0337i	−0.208501	−	0.503366i
$893$	−4.63795	−	11.1970i	−0.155203	−	0.374693i
$894$	0.991260	+	0.662339i	0.0331527	+	0.0221519i
$895$	56.8642	+	8.14698i	1.90076	+	0.272323i
$896$	−0.0887953	−	0.132892i	−0.00296644	−	0.00443960i
$897$	−5.94578			−0.198524
$898$	−1.97644	−	2.95794i	−0.0659545	−	0.0987079i
$899$	3.82346	−	1.58373i	0.127519	−	0.0528203i
$900$	−4.66432	+	5.79987i	−0.155477	+	0.193329i
$901$	32.3806	+	33.6817i	1.07875	+	1.12210i
$902$	1.85337	−	1.85337i	0.0617105	−	0.0617105i
$903$	−0.0519195	−	0.0215058i	−0.00172777	−	0.000715667i
$904$	−16.4371	−	3.26954i	−0.546690	−	0.108743i
$905$	6.28832	+	13.1267i	0.209031	+	0.436346i
$906$	14.8871	−	9.94727i	0.494592	−	0.330476i
$907$	−0.273134	−	0.182503i	−0.00906928	−	0.00605990i	0.551027	−	0.834487i	$-0.314236\pi$
$907$	−0.273134	−	0.182503i	−0.00906928	−	0.00605990i	−0.560097	+	0.828427i	$0.689236\pi$
$908$	5.07746	+	25.5261i	0.168501	+	0.847114i
$909$	12.4928	+	5.17468i	0.414359	+	0.171633i
$910$	0.0173562	+	0.320818i	0.000575354	+	0.0106350i
$911$	0.721673	−	1.08006i	0.0239101	−	0.0357840i	−0.819322	−	0.573334i	$-0.805650\pi$
$911$	0.721673	−	1.08006i	0.0239101	−	0.0357840i	0.843232	+	0.537550i	$0.180650\pi$
$912$	−2.44073	+	3.65280i	−0.0808205	+	0.120956i
$913$	−0.0237768	+	0.119534i	−0.000786897	+	0.00395600i
$914$	1.98361	−	1.98361i	0.0656120	−	0.0656120i
$915$	6.04214	−	1.54537i	0.199747	−	0.0510882i
$916$	−3.21497	−	7.76163i	−0.106226	−	0.256452i
$917$	0.672596	+	0.672596i	0.0222111	+	0.0222111i
$918$	18.6654	+	13.0106i	0.616049	+	0.429415i
$919$		−	6.29132i		−	0.207532i	−0.994602	−	0.103766i	$-0.966911\pi$
$919$		−	6.29132i		−	0.207532i	0.994602	−	0.103766i	$-0.0330892\pi$
$920$	12.0117	−	0.649832i	0.396014	−	0.0214243i
$921$	−3.68592	+	18.5303i	−0.121455	+	0.610596i
$922$		−	6.30651i		−	0.207694i
$923$	−3.67093	−	0.730193i	−0.120830	−	0.0240346i
$924$	−0.232416	+	0.0462304i	−0.00764592	+	0.00152087i
$925$	−39.6517	−	20.6912i	−1.30374	−	0.680323i
$926$	10.5252	−	25.4101i	0.345879	−	0.835027i
$927$	24.9944	−	10.3530i	0.820925	−	0.340038i
$928$	−0.604789	+	0.120300i	−0.0198532	+	0.00394904i
$929$	2.31586	+	11.6426i	0.0759809	+	0.381982i	1.00000		0.000364718i	$-0.000116093\pi$
$929$	2.31586	+	11.6426i	0.0759809	+	0.381982i	−0.924019	+	0.382346i	$0.875116\pi$
$930$	17.8745	−	4.57166i	0.586128	−	0.149911i
$931$	−17.6229	−	17.6229i	−0.577568	−	0.577568i
$932$	0.307150	−	0.205231i	0.0100610	−	0.00672257i
$933$	0.418898	−	1.01131i	0.0137141	−	0.0331088i
$934$	−11.2031			−0.366577
$935$	−0.381901	−	11.1121i	−0.0124895	−	0.363405i
$936$	−1.33820			−0.0437404
$937$	−2.65921	+	6.41991i	−0.0868727	+	0.209729i	−0.961345	−	0.275346i	$-0.911208\pi$
$937$	−2.65921	+	6.41991i	−0.0868727	+	0.209729i	0.874473	+	0.485075i	$0.161208\pi$
$938$	−0.848991	+	0.567278i	−0.0277205	+	0.0185223i
$939$	9.79655	+	9.79655i	0.319698	+	0.319698i
$940$	3.86656	−	6.52413i	0.126113	−	0.212794i
$941$	−9.53292	−	47.9252i	−0.310764	−	1.56232i	−0.748451	−	0.663190i	$-0.769202\pi$
$941$	−9.53292	−	47.9252i	−0.310764	−	1.56232i	0.437687	−	0.899127i	$-0.355798\pi$
$942$	0.317525	−	0.0631596i	0.0103455	−	0.00205785i
$943$	10.8020	−	4.47432i	0.351761	−	0.145704i
$944$	4.58341	−	11.0653i	0.149177	−	0.360146i
$945$	1.57820	−	1.18265i	0.0513387	−	0.0384716i
$946$	−0.338286	+	0.0672893i	−0.0109986	+	0.00218776i
$947$	11.0997	+	2.20787i	0.360692	+	0.0717462i	0.372110	−	0.928189i	$-0.378634\pi$
$947$	11.0997	+	2.20787i	0.360692	+	0.0717462i	−0.0114176	+	0.999935i	$0.503634\pi$
$948$			10.4880i			0.340634i
$949$	−1.73327	+	8.71375i	−0.0562644	+	0.282860i
$950$	−15.6730	+	8.57836i	−0.508500	+	0.278319i
$951$			38.3639i			1.24404i
$952$	−0.648729	+	0.115810i	−0.0210254	+	0.00375341i
$953$	−5.23841	−	5.23841i	−0.169689	−	0.169689i	0.617154	−	0.786842i	$-0.288286\pi$
$953$	−5.23841	−	5.23841i	−0.169689	−	0.169689i	−0.786842	+	0.617154i	$0.788286\pi$
$954$	6.45507	+	15.5839i	0.208991	+	0.504548i
$955$	45.4308	+	26.9248i	1.47011	+	0.871265i
$956$	−19.0676	+	19.0676i	−0.616691	+	0.616691i
$957$	−0.178364	+	0.896694i	−0.00576568	+	0.0289860i
$958$	−17.4234	+	26.0760i	−0.562925	+	0.842477i
$959$	0.0673823	−	0.100845i	0.00217589	−	0.00325645i
$960$	−2.74503	+	0.148506i	−0.0885956	+	0.00479301i
$961$	12.9735	+	5.37382i	0.418501	+	0.173349i
$962$	−1.56885	−	7.88712i	−0.0505816	−	0.254291i
$963$	6.68893	+	4.46940i	0.215548	+	0.144024i
$964$	−17.4909	+	11.6870i	−0.563343	+	0.376414i
$965$	41.9517	+	14.7763i	1.35047	+	0.475665i
$966$	−1.03676	−	0.206224i	−0.0333571	−	0.00663513i
$967$	−9.59348	−	3.97375i	−0.308505	−	0.127787i	0.223059	−	0.974805i	$-0.428396\pi$
$967$	−9.59348	−	3.97375i	−0.308505	−	0.127787i	−0.531565	+	0.847018i	$0.678396\pi$
$968$	6.74975	−	6.74975i	0.216945	−	0.216945i
$969$	9.76485	+	15.2561i	0.313692	+	0.490098i
$970$	−18.5536	−	6.53496i	−0.595720	−	0.209825i
$971$	−20.6306	+	8.54547i	−0.662067	+	0.274237i	−0.688308	−	0.725419i	$-0.741646\pi$
$971$	−20.6306	+	8.54547i	−0.662067	+	0.274237i	0.0262411	+	0.999656i	$0.491646\pi$
$972$	7.61372	+	11.3947i	0.244210	+	0.365486i
$973$	2.75424			0.0882969
$974$	−1.09887	−	1.64458i	−0.0352102	−	0.0526958i
$975$	4.89925	+	2.55655i	0.156902	+	0.0818751i
$976$	−1.88632	−	1.26040i	−0.0603795	−	0.0403443i
$977$	18.8179	+	45.4304i	0.602037	+	1.45345i	0.871481	+	0.490430i	$0.163160\pi$
$977$	18.8179	+	45.4304i	0.602037	+	1.45345i	−0.269443	+	0.963016i	$0.586840\pi$
$978$	−0.186854	−	0.451106i	−0.00597493	−	0.0144248i
$979$	−7.06127	−	4.71819i	−0.225679	−	0.150794i
$980$	2.21177	−	15.4377i	0.0706525	−	0.493140i
$981$	−14.9402	−	22.3596i	−0.477004	−	0.713887i
$982$	23.3092			0.743825
$983$	11.2919	+	16.8995i	0.360155	+	0.539010i	0.966658	−	0.256071i	$-0.0824282\pi$
$983$	11.2919	+	16.8995i	0.360155	+	0.539010i	−0.606503	+	0.795081i	$0.707428\pi$
$984$	−2.46857	+	1.02252i	−0.0786953	+	0.0325966i
$985$	−20.1646	+	9.65984i	−0.642499	+	0.307788i
$986$	−0.545016	+	2.48336i	−0.0173569	+	0.0790862i
$987$	−0.471234	+	0.471234i	−0.0149996	+	0.0149996i
$988$	−2.96795	−	1.22936i	−0.0944229	−	0.0391113i
$989$	−1.50902	−	0.300163i	−0.0479840	−	0.00954462i
$990$	1.33356	−	3.78614i	0.0423832	−	0.120331i
$991$	−13.2092	+	8.82610i	−0.419604	+	0.280370i	−0.747395	−	0.664380i	$-0.768696\pi$
$991$	−13.2092	+	8.82610i	−0.419604	+	0.280370i	0.327791	+	0.944750i	$0.393696\pi$
$992$	−5.58030	−	3.72864i	−0.177175	−	0.118384i
$993$	−3.37535	−	16.9690i	−0.107113	−	0.538496i
$994$	−0.614767	−	0.254645i	−0.0194992	−	0.00807685i
$995$	−28.2164	−	25.3201i	−0.894521	−	0.802701i
$996$	0.0690255	−	0.103304i	0.00218716	−	0.00327331i
$997$	−23.8447	+	35.6860i	−0.755168	+	1.13019i	0.232343	+	0.972634i	$0.425361\pi$
$997$	−23.8447	+	35.6860i	−0.755168	+	1.13019i	−0.987510	+	0.157554i	$0.949639\pi$
$998$	1.38799	−	6.97792i	0.0439362	−	0.220882i
$999$	−34.9040	+	34.9040i	−1.10431	+	1.10431i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.a.133.3	✓	32
5.2	odd	4		170.2.r.a.167.2	yes	32
5.3	odd	4		850.2.v.c.507.3		32
5.4	even	2		850.2.s.c.643.2		32
17.11	odd	16		170.2.r.a.113.2	yes	32
85.28	even	16		850.2.s.c.657.2		32
85.62	even	16	inner	170.2.o.a.147.3	yes	32
85.79	odd	16		850.2.v.c.793.3		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.a.133.3	✓	32	1.1	even	1	trivial
170.2.o.a.147.3	yes	32	85.62	even	16	inner
170.2.r.a.113.2	yes	32	17.11	odd	16
170.2.r.a.167.2	yes	32	5.2	odd	4
850.2.s.c.643.2		32	5.4	even	2
850.2.s.c.657.2		32	85.28	even	16
850.2.v.c.507.3		32	5.3	odd	4
850.2.v.c.793.3		32	85.79	odd	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.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 - 0.923880i) q^{2} +(1.02222 - 0.683024i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.554072 - 2.16633i) q^{5} +(-0.239846 - 1.20579i) q^{6} +(0.156756 - 0.0311808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.569643 + 1.37524i) q^{9} +O(q^{10})\)	\(q+(0.382683 - 0.923880i) q^{2} +(1.02222 - 0.683024i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.554072 - 2.16633i) q^{5} +(-0.239846 - 1.20579i) q^{6} +(0.156756 - 0.0311808i) q^{7} +(-0.923880 + 0.382683i) q^{8} +(-0.569643 + 1.37524i) q^{9} +(-2.21347 - 0.317125i) q^{10} +(1.18282 - 0.235277i) q^{11} +(-1.20579 - 0.239846i) q^{12} -0.898996i q^{13} +(0.0311808 - 0.156756i) q^{14} +(-2.04604 - 1.83602i) q^{15} +1.00000i q^{16} +(3.77744 + 1.65255i) q^{17} +(1.05256 + 1.05256i) q^{18} +(1.36748 + 3.30140i) q^{19} +(-1.14004 + 1.92362i) q^{20} +(0.138942 - 0.138942i) q^{21} +(0.235277 - 1.18282i) q^{22} +(2.98877 - 4.47302i) q^{23} +(-0.683024 + 1.02222i) q^{24} +(-4.38601 + 2.40061i) q^{25} +(-0.830564 - 0.344031i) q^{26} +(1.07656 + 5.41224i) q^{27} +(-0.132892 - 0.0887953i) q^{28} +(-0.512715 + 0.342585i) q^{29} +(-2.47925 + 1.18768i) q^{30} +(-6.58241 - 1.30932i) q^{31} +(0.923880 + 0.382683i) q^{32} +(1.04840 - 1.04840i) q^{33} +(2.97232 - 2.85750i) q^{34} +(-0.154402 - 0.322310i) q^{35} +(1.37524 - 0.569643i) q^{36} +(4.96965 + 7.43760i) q^{37} +3.57341 q^{38} +(-0.614036 - 0.918970i) q^{39} +(1.34092 + 1.78940i) q^{40} +(1.80709 + 1.20746i) q^{41} +(-0.0751948 - 0.181536i) q^{42} +(-0.109448 - 0.264230i) q^{43} +(-1.00274 - 0.670012i) q^{44} +(3.29485 + 0.472056i) q^{45} +(-2.98877 - 4.47302i) q^{46} -3.39159 q^{47} +(0.683024 + 1.02222i) q^{48} +(-6.44356 + 2.66901i) q^{49} +(0.539420 + 4.97082i) q^{50} +(4.99010 - 0.890822i) q^{51} +(-0.635686 + 0.635686i) q^{52} +(10.4692 + 4.33649i) q^{53} +(5.41224 + 1.07656i) q^{54} +(-1.16505 - 2.43202i) q^{55} +(-0.132892 + 0.0887953i) q^{56} +(3.65280 + 2.44073i) q^{57} +(0.120300 + 0.604789i) q^{58} +(-11.0653 - 4.58341i) q^{59} +(0.148506 + 2.74503i) q^{60} +(-1.26040 + 1.88632i) q^{61} +(-3.72864 + 5.58030i) q^{62} +(-0.0464141 + 0.233339i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-1.94753 + 0.498108i) q^{65} +(-0.567388 - 1.36980i) q^{66} +(-4.51742 - 4.51742i) q^{67} +(-1.50253 - 3.83958i) q^{68} -6.61380i q^{69} +(-0.356863 + 0.0193062i) q^{70} +(0.812232 - 4.08336i) q^{71} -1.48855i q^{72} +(-9.69275 - 1.92801i) q^{73} +(8.77325 - 1.74511i) q^{74} +(-2.84378 + 5.44970i) q^{75} +(1.36748 - 3.30140i) q^{76} +(0.178078 - 0.0737623i) q^{77} +(-1.08400 + 0.215621i) q^{78} +(-1.66430 - 8.36698i) q^{79} +(2.16633 - 0.554072i) q^{80} +(1.63948 + 1.63948i) q^{81} +(1.80709 - 1.20746i) q^{82} +(-0.0386735 + 0.0933661i) q^{83} -0.196494 q^{84} +(1.48700 - 9.09884i) q^{85} -0.286001 q^{86} +(-0.290113 + 0.700394i) q^{87} +(-1.00274 + 0.670012i) q^{88} +(-4.97941 - 4.97941i) q^{89} +(1.69701 - 2.86340i) q^{90} +(-0.0280314 - 0.140923i) q^{91} +(-5.27628 + 1.04952i) q^{92} +(-7.62296 + 3.15753i) q^{93} +(-1.29791 + 3.13342i) q^{94} +(6.39425 - 4.79164i) q^{95} +(1.20579 - 0.239846i) q^{96} +(8.62802 + 1.71622i) q^{97} +6.97446i q^{98} +(-0.350221 + 1.76068i) 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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