LMFDB - Embedded newform 507.2.m.b.40.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(40,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(26))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("507.40");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.m (of order $13$, degree $12$, 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:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$17$ over $\Q(\zeta_{13})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label			40.11
Character	$\chi$	$=$	507.40
Dual form			507.2.m.b.469.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.781588 + 0.192644i) q^{2} +(0.120537 - 0.992709i) q^{3} +(-1.19714 - 0.628310i) q^{4} +(-1.69825 + 2.46034i) q^{5} +(0.285450 - 0.752669i) q^{6} +(1.79485 + 1.59010i) q^{7} +(-2.01970 - 1.78930i) q^{8} +(-0.970942 - 0.239316i) q^{9} +O(q^{10})$	\(q+(0.781588 + 0.192644i) q^{2} +(0.120537 - 0.992709i) q^{3} +(-1.19714 - 0.628310i) q^{4} +(-1.69825 + 2.46034i) q^{5} +(0.285450 - 0.752669i) q^{6} +(1.79485 + 1.59010i) q^{7} +(-2.01970 - 1.78930i) q^{8} +(-0.970942 - 0.239316i) q^{9} +(-1.80130 + 1.59582i) q^{10} +(5.73460 - 1.41345i) q^{11} +(-0.768028 + 1.11268i) q^{12} +(3.30660 - 1.43750i) q^{13} +(1.09651 + 1.58857i) q^{14} +(2.23770 + 1.98243i) q^{15} +(0.302178 + 0.437781i) q^{16} +(4.38340 + 3.88336i) q^{17} +(-0.712774 - 0.374093i) q^{18} +7.56977 q^{19} +(3.57891 - 1.87836i) q^{20} +(1.79485 - 1.59010i) q^{21} +4.75439 q^{22} -8.81892 q^{23} +(-2.01970 + 1.78930i) q^{24} +(-1.39620 - 3.68147i) q^{25} +(2.86132 - 0.486535i) q^{26} +(-0.354605 + 0.935016i) q^{27} +(-1.14962 - 3.03130i) q^{28} +(-3.11947 - 0.768880i) q^{29} +(1.36706 + 1.98052i) q^{30} +(-2.69919 + 7.11717i) q^{31} +(2.06550 + 5.44628i) q^{32} +(-0.711916 - 5.86316i) q^{33} +(2.67791 + 3.87962i) q^{34} +(-6.96029 + 1.71556i) q^{35} +(1.01199 + 0.896547i) q^{36} +(2.27202 - 5.99081i) q^{37} +(5.91644 + 1.45827i) q^{38} +(-1.02845 - 3.45576i) q^{39} +(7.83226 - 1.93048i) q^{40} +(-0.0958837 + 0.789673i) q^{41} +(1.70916 - 0.897035i) q^{42} +(-0.595068 - 1.56906i) q^{43} +(-7.75322 - 1.91100i) q^{44} +(2.23770 - 1.98243i) q^{45} +(-6.89276 - 1.69891i) q^{46} +(6.55556 - 3.44062i) q^{47} +(0.471012 - 0.247206i) q^{48} +(-0.150682 - 1.24098i) q^{49} +(-0.382038 - 3.14637i) q^{50} +(4.38340 - 3.88336i) q^{51} +(-4.86167 - 0.356675i) q^{52} +(-2.50886 - 2.22266i) q^{53} +(-0.457280 + 0.662485i) q^{54} +(-6.26121 + 16.5095i) q^{55} +(-0.779901 - 6.42306i) q^{56} +(0.912434 - 7.51457i) q^{57} +(-2.29002 - 1.20190i) q^{58} +(-5.51294 + 7.98688i) q^{59} +(-1.43327 - 3.77922i) q^{60} +(3.45553 - 3.06134i) q^{61} +(-3.48073 + 5.04271i) q^{62} +(-1.36216 - 1.97343i) q^{63} +(0.436940 + 3.59853i) q^{64} +(-2.07870 + 10.5766i) q^{65} +(0.573078 - 4.71972i) q^{66} +(-2.10923 + 1.10701i) q^{67} +(-2.80762 - 7.40307i) q^{68} +(-1.06300 + 8.75462i) q^{69} -5.77058 q^{70} +(-0.623533 + 5.13526i) q^{71} +(1.53281 + 2.22066i) q^{72} +(2.74130 - 0.675671i) q^{73} +(2.92988 - 4.24466i) q^{74} +(-3.82293 + 0.942267i) q^{75} +(-9.06210 - 4.75616i) q^{76} +(12.5403 + 6.58164i) q^{77} +(-0.138093 - 2.89911i) q^{78} +(1.10300 - 0.578898i) q^{79} -1.59026 q^{80} +(0.885456 + 0.464723i) q^{81} +(-0.227067 + 0.598728i) q^{82} +(-0.263030 - 2.16624i) q^{83} +(-3.14777 + 0.775856i) q^{84} +(-16.9985 + 4.18976i) q^{85} +(-0.162827 - 1.34100i) q^{86} +(-1.13928 + 3.00405i) q^{87} +(-14.1113 - 7.40617i) q^{88} -0.866479 q^{89} +(2.13086 - 1.11836i) q^{90} +(8.22062 + 2.67773i) q^{91} +(10.5575 + 5.54101i) q^{92} +(6.73993 + 3.53739i) q^{93} +(5.78657 - 1.42626i) q^{94} +(-12.8554 + 18.6242i) q^{95} +(5.65554 - 1.39397i) q^{96} +(-8.64326 - 12.5219i) q^{97} +(0.121296 - 0.998963i) q^{98} -5.90622 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9}+O(q^{10}) $ 204 * q - q^2 - 17 * q^3 - 21 * q^4 - 6 * q^5 - q^6 - 8 * q^7 - 9 * q^8 - 17 * q^9	\( 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9} - 6 q^{10} - 8 q^{11} - 21 q^{12} + 54 q^{13} - 30 q^{14} - 6 q^{15} - 45 q^{16} - 18 q^{17} - q^{18} - 20 q^{19} - 58 q^{20} - 8 q^{21} + 44 q^{22} + 40 q^{23} - 9 q^{24} + 7 q^{25} - 2 q^{26} - 17 q^{27} - 40 q^{28} + 11 q^{29} - 6 q^{30} + 2 q^{31} + 61 q^{32} + 5 q^{33} - q^{34} + 11 q^{35} - 21 q^{36} - 34 q^{37} + 17 q^{38} - 11 q^{39} - 31 q^{40} - 58 q^{41} + 35 q^{42} + 32 q^{43} - 41 q^{44} - 6 q^{45} + 76 q^{46} - 36 q^{47} - 45 q^{48} + 9 q^{49} - 35 q^{50} - 18 q^{51} - 24 q^{52} + 66 q^{53} - q^{54} + 7 q^{55} - 114 q^{56} - 7 q^{57} - 60 q^{58} + 40 q^{59} + 59 q^{60} - 54 q^{61} - 31 q^{62} - 8 q^{63} + 75 q^{64} - 26 q^{65} + 18 q^{66} + 2 q^{67} + 26 q^{68} - 12 q^{69} - 56 q^{70} - 37 q^{71} - 9 q^{72} + 70 q^{73} + 174 q^{74} - 45 q^{75} - 26 q^{76} + 24 q^{78} - 66 q^{79} + 126 q^{80} - 17 q^{81} - 17 q^{82} - 2 q^{83} - 40 q^{84} + 54 q^{85} + 61 q^{86} + 24 q^{87} + 94 q^{88} - 114 q^{89} - 6 q^{90} + 104 q^{91} - 78 q^{92} + 67 q^{93} - 63 q^{94} - 70 q^{95} - 4 q^{96} + 36 q^{97} - 65 q^{98} + 18 q^{99}+O(q^{100}) \) 204 * q - q^2 - 17 * q^3 - 21 * q^4 - 6 * q^5 - q^6 - 8 * q^7 - 9 * q^8 - 17 * q^9 - 6 * q^10 - 8 * q^11 - 21 * q^12 + 54 * q^13 - 30 * q^14 - 6 * q^15 - 45 * q^16 - 18 * q^17 - q^18 - 20 * q^19 - 58 * q^20 - 8 * q^21 + 44 * q^22 + 40 * q^23 - 9 * q^24 + 7 * q^25 - 2 * q^26 - 17 * q^27 - 40 * q^28 + 11 * q^29 - 6 * q^30 + 2 * q^31 + 61 * q^32 + 5 * q^33 - q^34 + 11 * q^35 - 21 * q^36 - 34 * q^37 + 17 * q^38 - 11 * q^39 - 31 * q^40 - 58 * q^41 + 35 * q^42 + 32 * q^43 - 41 * q^44 - 6 * q^45 + 76 * q^46 - 36 * q^47 - 45 * q^48 + 9 * q^49 - 35 * q^50 - 18 * q^51 - 24 * q^52 + 66 * q^53 - q^54 + 7 * q^55 - 114 * q^56 - 7 * q^57 - 60 * q^58 + 40 * q^59 + 59 * q^60 - 54 * q^61 - 31 * q^62 - 8 * q^63 + 75 * q^64 - 26 * q^65 + 18 * q^66 + 2 * q^67 + 26 * q^68 - 12 * q^69 - 56 * q^70 - 37 * q^71 - 9 * q^72 + 70 * q^73 + 174 * q^74 - 45 * q^75 - 26 * q^76 + 24 * q^78 - 66 * q^79 + 126 * q^80 - 17 * q^81 - 17 * q^82 - 2 * q^83 - 40 * q^84 + 54 * q^85 + 61 * q^86 + 24 * q^87 + 94 * q^88 - 114 * q^89 - 6 * q^90 + 104 * q^91 - 78 * q^92 + 67 * q^93 - 63 * q^94 - 70 * q^95 - 4 * q^96 + 36 * q^97 - 65 * q^98 + 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$1$	$e\left(\frac{1}{13}\right)$

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 $

$2$	0.781588	+	0.192644i	0.552666	+	0.136220i	0.505752	−	0.862679i	$-0.331215\pi$
$2$	0.781588	+	0.192644i	0.552666	+	0.136220i	0.0469142	+	0.998899i	$0.485061\pi$
$3$	0.120537	−	0.992709i	0.0695919	−	0.573141i
$3$	0.120537	−	0.992709i	0.0695919	−	0.573141i
$4$	−1.19714	−	0.628310i	−0.598572	−	0.314155i
$5$	−1.69825	+	2.46034i	−0.759481	+	1.10030i	0.232337	+	0.972635i	$0.425363\pi$
$5$	−1.69825	+	2.46034i	−0.759481	+	1.10030i	−0.991818	+	0.127663i	$0.959252\pi$
$6$	0.285450	−	0.752669i	0.116534	−	0.307276i
$7$	1.79485	+	1.59010i	0.678390	+	0.601001i	0.930322	−	0.366744i	$-0.119527\pi$
$7$	1.79485	+	1.59010i	0.678390	+	0.601001i	−0.251932	+	0.967745i	$0.581066\pi$
$8$	−2.01970	−	1.78930i	−0.714073	−	0.632614i
$9$	−0.970942	−	0.239316i	−0.323647	−	0.0797719i
$10$	−1.80130	+	1.59582i	−0.569622	+	0.504641i
$11$	5.73460	−	1.41345i	1.72905	−	0.426172i	0.755590	−	0.655045i	$-0.227350\pi$
$11$	5.73460	−	1.41345i	1.72905	−	0.426172i	0.973456	+	0.228874i	$0.0735042\pi$
$12$	−0.768028	+	1.11268i	−0.221711	+	0.321203i
$13$	3.30660	−	1.43750i	0.917086	−	0.398690i
$13$	3.30660	−	1.43750i	0.917086	−	0.398690i
$14$	1.09651	+	1.58857i	0.293055	+	0.424563i
$15$	2.23770	+	1.98243i	0.577772	+	0.511861i
$16$	0.302178	+	0.437781i	0.0755446	+	0.109445i
$17$	4.38340	+	3.88336i	1.06313	+	0.941853i	0.998428	−	0.0560520i	$-0.0178512\pi$
$17$	4.38340	+	3.88336i	1.06313	+	0.941853i	0.0647039	+	0.997905i	$0.479390\pi$
$18$	−0.712774	−	0.374093i	−0.168002	−	0.0881745i
$19$	7.56977			1.73662			0.868312	−	0.496019i	$-0.165205\pi$
$19$	7.56977			1.73662			0.868312	+	0.496019i	$0.165205\pi$
$20$	3.57891	−	1.87836i	0.800268	−	0.420013i
$21$	1.79485	−	1.59010i	0.391669	−	0.346988i
$22$	4.75439			1.01364
$23$	−8.81892			−1.83887			−0.919435	−	0.393241i	$-0.871354\pi$
$23$	−8.81892			−1.83887			−0.919435	+	0.393241i	$0.871354\pi$
$24$	−2.01970	+	1.78930i	−0.412270	+	0.365240i
$25$	−1.39620	−	3.68147i	−0.279240	−	0.736295i
$26$	2.86132	−	0.486535i	0.561152	−	0.0954173i
$27$	−0.354605	+	0.935016i	−0.0682437	+	0.179944i
$28$	−1.14962	−	3.03130i	−0.217258	−	0.572862i
$29$	−3.11947	−	0.768880i	−0.579271	−	0.142778i	−0.0612157	−	0.998125i	$-0.519498\pi$
$29$	−3.11947	−	0.768880i	−0.579271	−	0.142778i	−0.518055	+	0.855347i	$0.673344\pi$
$30$	1.36706	+	1.98052i	0.249589	+	0.361593i
$31$	−2.69919	+	7.11717i	−0.484788	+	1.27828i	0.440068	+	0.897964i	$0.354954\pi$
$31$	−2.69919	+	7.11717i	−0.484788	+	1.27828i	−0.924856	+	0.380317i	$0.875815\pi$
$32$	2.06550	+	5.44628i	0.365133	+	0.962775i
$33$	−0.711916	−	5.86316i	−0.123929	−	1.02064i
$34$	2.67791	+	3.87962i	0.459258	+	0.665350i
$35$	−6.96029	+	1.71556i	−1.17650	+	0.289982i
$36$	1.01199	+	0.896547i	0.168665	+	0.149425i
$37$	2.27202	−	5.99081i	0.373517	−	0.984884i	−0.608073	−	0.793881i	$-0.708057\pi$
$37$	2.27202	−	5.99081i	0.373517	−	0.984884i	0.981590	−	0.191002i	$-0.0611737\pi$
$38$	5.91644	+	1.45827i	0.959773	+	0.236563i
$39$	−1.02845	−	3.45576i	−0.164684	−	0.553365i
$40$	7.83226	−	1.93048i	1.23839	−	0.305235i
$41$	−0.0958837	+	0.789673i	−0.0149745	+	0.123326i	−0.998279	−	0.0586408i	$-0.981323\pi$
$41$	−0.0958837	+	0.789673i	−0.0149745	+	0.123326i	0.983305	+	0.181967i	$0.0582464\pi$
$42$	1.70916	−	0.897035i	0.263729	−	0.138416i
$43$	−0.595068	−	1.56906i	−0.0907470	−	0.239280i	0.881957	−	0.471330i	$-0.156226\pi$
$43$	−0.595068	−	1.56906i	−0.0907470	−	0.239280i	−0.972704	+	0.232050i	$0.925457\pi$
$44$	−7.75322	−	1.91100i	−1.16884	−	0.288094i
$45$	2.23770	−	1.98243i	0.333577	−	0.295523i
$46$	−6.89276	−	1.69891i	−1.01628	−	0.250491i
$47$	6.55556	−	3.44062i	0.956227	−	0.501867i	0.0869613	−	0.996212i	$-0.472284\pi$
$47$	6.55556	−	3.44062i	0.956227	−	0.501867i	0.869266	+	0.494345i	$0.164592\pi$
$48$	0.471012	−	0.247206i	0.0679848	−	0.0356812i
$49$	−0.150682	−	1.24098i	−0.0215260	−	0.177283i
$50$	−0.382038	−	3.14637i	−0.0540283	−	0.444963i
$51$	4.38340	−	3.88336i	0.613799	−	0.543779i
$52$	−4.86167	−	0.356675i	−0.674192	−	0.0494620i
$53$	−2.50886	−	2.22266i	−0.344618	−	0.305305i	0.473004	−	0.881060i	$-0.343170\pi$
$53$	−2.50886	−	2.22266i	−0.344618	−	0.305305i	−0.817622	+	0.575755i	$0.804708\pi$
$54$	−0.457280	+	0.662485i	−0.0622280	+	0.0901528i
$55$	−6.26121	+	16.5095i	−0.844262	+	2.22614i
$56$	−0.779901	−	6.42306i	−0.104219	−	0.858318i
$57$	0.912434	−	7.51457i	0.120855	−	0.995330i
$58$	−2.29002	−	1.20190i	−0.300694	−	0.157817i
$59$	−5.51294	+	7.98688i	−0.717724	+	1.03980i	0.279107	+	0.960260i	$0.409961\pi$
$59$	−5.51294	+	7.98688i	−0.717724	+	1.03980i	−0.996831	+	0.0795430i	$0.974654\pi$
$60$	−1.43327	−	3.77922i	−0.185034	−	0.487896i
$61$	3.45553	−	3.06134i	0.442436	−	0.391964i	−0.412283	−	0.911056i	$-0.635268\pi$
$61$	3.45553	−	3.06134i	0.442436	−	0.391964i	0.854718	+	0.519092i	$0.173730\pi$
$62$	−3.48073	+	5.04271i	−0.442054	+	0.640425i
$63$	−1.36216	−	1.97343i	−0.171616	−	0.248629i
$64$	0.436940	+	3.59853i	0.0546175	+	0.449816i
$65$	−2.07870	+	10.5766i	−0.257831	+	1.31187i
$66$	0.573078	−	4.71972i	0.0705410	−	0.580957i
$67$	−2.10923	+	1.10701i	−0.257683	+	0.135243i	−0.588619	−	0.808411i	$-0.700328\pi$
$67$	−2.10923	+	1.10701i	−0.257683	+	0.135243i	0.330936	+	0.943653i	$0.392636\pi$
$68$	−2.80762	−	7.40307i	−0.340473	−	0.897754i
$69$	−1.06300	+	8.75462i	−0.127970	+	1.05393i
$70$	−5.77058			−0.689716
$71$	−0.623533	+	5.13526i	−0.0739998	+	0.609443i	0.907784	+	0.419439i	$0.137773\pi$
$71$	−0.623533	+	5.13526i	−0.0739998	+	0.609443i	−0.981783	+	0.190004i	$0.939150\pi$
$72$	1.53281	+	2.22066i	0.180643	+	0.261707i
$73$	2.74130	−	0.675671i	0.320845	−	0.0790813i	−0.0756039	−	0.997138i	$-0.524088\pi$
$73$	2.74130	−	0.675671i	0.320845	−	0.0790813i	0.396449	+	0.918057i	$0.370242\pi$
$74$	2.92988	−	4.24466i	0.340591	−	0.493431i
$75$	−3.82293	+	0.942267i	−0.441433	+	0.108804i
$76$	−9.06210	−	4.75616i	−1.03949	−	0.545569i
$77$	12.5403	+	6.58164i	1.42910	+	0.750048i
$78$	−0.138093	−	2.89911i	−0.0156359	−	0.328259i
$79$	1.10300	−	0.578898i	0.124097	−	0.0651311i	−0.401532	−	0.915845i	$-0.631522\pi$
$79$	1.10300	−	0.578898i	0.124097	−	0.0651311i	0.525629	+	0.850714i	$0.323830\pi$
$80$	−1.59026			−0.177797
$81$	0.885456	+	0.464723i	0.0983840	+	0.0516359i
$82$	−0.227067	+	0.598728i	−0.0250754	+	0.0661184i
$83$	−0.263030	−	2.16624i	−0.0288713	−	0.237776i	0.971128	−	0.238557i	$-0.0766745\pi$
$83$	−0.263030	−	2.16624i	−0.0288713	−	0.237776i	−1.00000		0.000781041i	$0.999751\pi$
$84$	−3.14777	+	0.775856i	−0.343450	+	0.0846528i
$85$	−16.9985	+	4.18976i	−1.84375	+	0.454443i
$86$	−0.162827	−	1.34100i	−0.0175581	−	0.144604i
$87$	−1.13928	+	3.00405i	−0.122144	+	0.322068i
$88$	−14.1113	−	7.40617i	−1.50427	−	0.789501i
$89$	−0.866479			−0.0918466			−0.0459233	−	0.998945i	$-0.514623\pi$
$89$	−0.866479			−0.0918466			−0.0459233	+	0.998945i	$0.514623\pi$
$90$	2.13086	−	1.11836i	0.224613	−	0.117886i
$91$	8.22062	+	2.67773i	0.861755	+	0.280702i
$92$	10.5575	+	5.54101i	1.10070	+	0.577690i
$93$	6.73993	+	3.53739i	0.698898	+	0.366810i
$94$	5.78657	−	1.42626i	0.596839	−	0.147108i
$95$	−12.8554	+	18.6242i	−1.31893	+	1.91080i
$96$	5.65554	−	1.39397i	0.577216	−	0.142271i
$97$	−8.64326	−	12.5219i	−0.877590	−	1.27141i	−0.961464	−	0.274932i	$-0.911345\pi$
$97$	−8.64326	−	12.5219i	−0.877590	−	1.27141i	0.0838737	−	0.996476i	$-0.473271\pi$
$98$	0.121296	−	0.998963i	0.0122528	−	0.100911i
$99$	−5.90622			−0.593597
$100$	−0.641655	+	5.28450i	−0.0641655	+	0.528450i
$101$	−1.70928	−	4.50701i	−0.170080	−	0.448464i	0.822691	−	0.568489i	$-0.192472\pi$
$101$	−1.70928	−	4.50701i	−0.170080	−	0.448464i	−0.992771	+	0.120025i	$0.961703\pi$
$102$	4.17412	−	2.19075i	0.413300	−	0.216916i
$103$	0.709772	−	5.84549i	0.0699359	−	0.575974i	−0.915050	−	0.403340i	$-0.867849\pi$
$103$	0.709772	−	5.84549i	0.0699359	−	0.575974i	0.984986	−	0.172634i	$-0.0552277\pi$
$104$	−9.25047	−	3.01318i	−0.907083	−	0.295467i
$105$	0.864079	+	7.11633i	0.0843255	+	0.694483i
$106$	−1.53271	−	2.22052i	−0.148870	−	0.215676i
$107$	2.29148	−	3.31979i	0.221526	−	0.320936i	−0.696425	−	0.717630i	$-0.745227\pi$
$107$	2.29148	−	3.31979i	0.221526	−	0.320936i	0.917951	+	0.396694i	$0.129842\pi$
$108$	1.01199	−	0.896547i	0.0973791	−	0.0862703i
$109$	0.212341	+	0.559897i	0.0203386	+	0.0536284i	0.944801	−	0.327645i	$-0.106255\pi$
$109$	0.212341	+	0.559897i	0.0203386	+	0.0536284i	−0.924462	+	0.381273i	$0.875486\pi$
$110$	−8.07414	+	11.6974i	−0.769839	+	1.11530i
$111$	−5.67327	−	2.97756i	−0.538483	−	0.282618i
$112$	−0.153750	+	1.26624i	−0.0145280	+	0.119649i
$113$	2.46836	+	20.3288i	0.232204	+	1.91237i	0.382897	+	0.923791i	$0.374926\pi$
$113$	2.46836	+	20.3288i	0.232204	+	1.91237i	−0.150693	+	0.988581i	$0.548151\pi$
$114$	2.16079	−	5.69753i	0.202376	−	0.533622i
$115$	14.9767	−	21.6975i	1.39659	−	2.02331i
$116$	3.25136	+	2.88045i	0.301881	+	0.267443i
$117$	−3.55453	+	0.604406i	−0.328617	+	0.0558774i
$118$	−5.84748	+	5.18041i	−0.538304	+	0.476896i
$119$	1.69263	+	13.9401i	0.155164	+	1.27789i
$120$	−0.972329	−	8.00785i	−0.0887611	−	0.731013i
$121$	21.1477	−	11.0992i	1.92252	−	1.00902i
$122$	3.29055	−	1.72701i	0.297913	−	0.156357i
$123$	0.772358	+	0.190369i	0.0696412	+	0.0171650i
$124$	7.70310	−	6.82435i	0.691759	−	0.612845i
$125$	−3.08456	−	0.760275i	−0.275891	−	0.0680010i
$126$	−0.684478	−	1.80482i	−0.0609782	−	0.160786i
$127$	3.52352	−	1.84928i	0.312662	−	0.164097i	−0.301092	−	0.953595i	$-0.597351\pi$
$127$	3.52352	−	1.84928i	0.312662	−	0.164097i	0.613754	+	0.789498i	$0.289659\pi$
$128$	1.05248	−	8.66792i	0.0930266	−	0.766143i
$129$	−1.62935	+	0.401599i	−0.143456	+	0.0353588i
$130$	−3.66221	+	7.86609i	−0.321197	+	0.689902i
$131$	−2.50105	−	0.616454i	−0.218518	−	0.0538598i	0.128537	−	0.991705i	$-0.458972\pi$
$131$	−2.50105	−	0.616454i	−0.218518	−	0.0538598i	−0.347055	+	0.937845i	$0.612818\pi$
$132$	−2.83161	+	7.46635i	−0.246460	+	0.649862i
$133$	13.5866	+	12.0367i	1.17811	+	1.04371i
$134$	−1.86181	+	0.458894i	−0.160835	+	0.0396424i
$135$	−1.69825	−	2.46034i	−0.146162	−	0.211752i
$136$	−1.90468	−	15.6865i	−0.163325	−	1.34510i
$137$	2.09631	+	5.52752i	0.179100	+	0.472248i	0.994260	−	0.106987i	$-0.0341205\pi$
$137$	2.09631	+	5.52752i	0.179100	+	0.472248i	−0.815160	+	0.579235i	$0.803351\pi$
$138$	−2.51736	+	6.63772i	−0.214292	+	0.565040i
$139$	1.67616	+	2.42833i	0.142170	+	0.205968i	0.887600	−	0.460615i	$-0.152371\pi$
$139$	1.67616	+	2.42833i	0.142170	+	0.205968i	−0.745430	+	0.666584i	$0.767756\pi$
$140$	9.41038	+	2.31945i	0.795322	+	0.196029i
$141$	−2.62535	−	6.92249i	−0.221095	−	0.582979i
$142$	−1.47662	+	3.89354i	−0.123915	+	0.326738i
$143$	16.9302	−	12.9172i	1.41577	−	1.08019i
$144$	−0.188630	−	0.497376i	−0.0157191	−	0.0414480i
$145$	7.18935	−	6.36921i	0.597043	−	0.528934i
$146$	2.27273			0.188093
$147$	−1.25009			−0.103106
$148$	−6.48402	+	5.74434i	−0.532983	+	0.472182i
$149$	−3.74931	+	1.96779i	−0.307156	+	0.161208i	−0.611257	−	0.791432i	$-0.709336\pi$
$149$	−3.74931	+	1.96779i	−0.307156	+	0.161208i	0.304102	+	0.952640i	$0.401644\pi$
$150$	−3.16948			−0.258787
$151$	−17.0829	−	8.96577i	−1.39018	−	0.729624i	−0.407203	−	0.913338i	$-0.633496\pi$
$151$	−17.0829	−	8.96577i	−1.39018	−	0.729624i	−0.982980	+	0.183713i	$0.941188\pi$
$152$	−15.2887	−	13.5446i	−1.24008	−	1.09861i
$153$	−3.32668	−	4.81953i	−0.268946	−	0.389636i
$154$	8.53341	+	7.55994i	0.687642	+	0.609198i
$155$	−12.9268	−	18.7277i	−1.03830	−	1.50424i
$156$	−0.940084	+	4.78323i	−0.0752670	+	0.382965i
$157$	−4.09298	+	5.92970i	−0.326655	+	0.473242i	−0.951562	−	0.307458i	$-0.900522\pi$
$157$	−4.09298	+	5.92970i	−0.326655	+	0.473242i	0.624906	+	0.780700i	$0.285137\pi$
$158$	0.973611	−	0.239973i	0.0774563	−	0.0190913i
$159$	−2.50886	+	2.22266i	−0.198966	+	0.176268i
$160$	−16.9075	−	4.16731i	−1.33665	−	0.329455i
$161$	−15.8286	−	14.0230i	−1.24747	−	1.10516i
$162$	0.602536	+	0.533800i	0.0473397	+	0.0419393i
$163$	4.77912	−	12.6015i	0.374329	−	0.987025i	−0.607002	−	0.794700i	$-0.707628\pi$
$163$	4.77912	−	12.6015i	0.374329	−	0.987025i	0.981331	−	0.192325i	$-0.0616028\pi$
$164$	0.610946	−	0.885108i	0.0477069	−	0.0691153i
$165$	15.6344	+	8.20556i	1.21714	+	0.638802i
$166$	0.211733	−	1.74378i	0.0164337	−	0.135344i
$167$	−19.3650	−	4.77303i	−1.49851	−	0.369348i	−0.597044	−	0.802209i	$-0.703658\pi$
$167$	−19.3650	−	4.77303i	−1.49851	−	0.369348i	−0.901461	+	0.432860i	$0.857504\pi$
$168$	−6.47024			−0.499190
$169$	8.86720	−	9.50646i	0.682092	−	0.731266i
$170$	−14.0930			−1.08088
$171$	−7.34980	−	1.81156i	−0.562053	−	0.138534i
$172$	−0.273477	+	2.25228i	−0.0208524	+	0.171735i
$173$	−1.11837	−	0.586964i	−0.0850278	−	0.0446261i	0.421673	−	0.906748i	$-0.361443\pi$
$173$	−1.11837	−	0.586964i	−0.0850278	−	0.0446261i	−0.506701	+	0.862122i	$0.669135\pi$
$174$	−1.46916	+	2.12845i	−0.111377	+	0.161357i
$175$	3.34794	−	8.82779i	0.253081	−	0.667318i
$176$	2.35165	+	2.08338i	0.177262	+	0.157041i
$177$	7.26413	+	6.43546i	0.546006	+	0.483719i
$178$	−0.677230	−	0.166922i	−0.0507605	−	0.0125113i
$179$	9.87982	−	8.75276i	0.738452	−	0.654212i	−0.207604	−	0.978213i	$-0.566567\pi$
$179$	9.87982	−	8.75276i	0.738452	−	0.654212i	0.946057	+	0.324001i	$0.105028\pi$
$180$	−3.92443	+	0.967285i	−0.292510	+	0.0720972i
$181$	−1.87607	+	2.71796i	−0.139447	+	0.202024i	−0.886485	−	0.462758i	$-0.846860\pi$
$181$	−1.87607	+	2.71796i	−0.139447	+	0.202024i	0.747038	+	0.664782i	$0.231475\pi$
$182$	5.90929	+	3.67653i	0.438026	+	0.272523i
$183$	−2.62250	−	3.79934i	−0.193860	−	0.280855i
$184$	17.8116	+	15.7797i	1.31309	+	1.16330i
$185$	10.8810	+	15.7638i	0.799987	+	1.15898i
$186$	4.58639	+	4.06319i	0.336290	+	0.297927i
$187$	30.6260	+	16.0738i	2.23959	+	1.17543i
$188$	−10.0097			−0.730035
$189$	−2.12323	+	1.11436i	−0.154442	+	0.0810576i
$190$	−13.6354	+	12.0799i	−0.989219	+	0.876372i
$191$	−16.4586			−1.19090			−0.595450	−	0.803393i	$-0.703026\pi$
$191$	−16.4586			−1.19090			−0.595450	+	0.803393i	$0.703026\pi$
$192$	3.62496			0.261609
$193$	−11.0365	+	9.77752i	−0.794427	+	0.703801i	−0.959261	−	0.282520i	$-0.908830\pi$
$193$	−11.0365	+	9.77752i	−0.794427	+	0.703801i	0.164834	+	0.986321i	$0.447291\pi$
$194$	−4.34319	−	11.4521i	−0.311823	−	0.822210i
$195$	10.2489	+	3.33841i	0.733941	+	0.239069i
$196$	−0.599331	+	1.58031i	−0.0428094	+	0.112879i
$197$	4.86599	+	12.8306i	0.346687	+	0.914140i	0.989029	+	0.147721i	$0.0471938\pi$
$197$	4.86599	+	12.8306i	0.346687	+	0.914140i	−0.642342	+	0.766418i	$0.722037\pi$
$198$	−4.61623	−	1.13780i	−0.328061	−	0.0808598i
$199$	−6.99702	−	10.1369i	−0.496006	−	0.718588i	0.492409	−	0.870364i	$-0.336116\pi$
$199$	−6.99702	−	10.1369i	−0.496006	−	0.718588i	−0.988415	+	0.151776i	$0.951501\pi$
$200$	−3.76736	+	9.93371i	−0.266393	+	0.702420i
$201$	0.844697	+	2.22728i	0.0595803	+	0.157100i
$202$	−0.467707	−	3.85191i	−0.0329077	−	0.271019i
$203$	−4.37639	−	6.34029i	−0.307162	−	0.445001i
$204$	−7.68752	+	1.89480i	−0.538234	+	0.132663i
$205$	−1.78003	−	1.57697i	−0.124323	−	0.110140i
$206$	1.68085	−	4.43204i	0.117110	−	0.308795i
$207$	8.56265	+	2.11050i	0.595146	+	0.146690i
$208$	1.62849	+	1.01318i	0.112916	+	0.0702517i
$209$	43.4096	−	10.6995i	3.00270	−	0.740099i
$210$	−0.695566	+	5.72850i	−0.0479986	+	0.395304i
$211$	−8.62348	+	4.52595i	−0.593665	+	0.311579i	−0.734665	−	0.678430i	$-0.762661\pi$
$211$	−8.62348	+	4.52595i	−0.593665	+	0.311579i	0.141000	+	0.990010i	$0.454968\pi$
$212$	1.60695	+	4.23718i	0.110366	+	0.291011i
$213$	5.02266	+	1.23797i	0.344147	+	0.0848246i
$214$	2.43053	−	2.15327i	0.166148	−	0.147194i
$215$	4.87101	+	1.20060i	0.332200	+	0.0818800i
$216$	2.38922	−	1.25396i	0.162566	−	0.0853213i
$217$	−16.1616	+	8.48229i	−1.09712	+	0.575815i
$218$	0.0581023	+	0.478515i	0.00393518	+	0.0324091i
$219$	−0.340317	−	2.80276i	−0.0229965	−	0.189393i
$220$	17.8686	−	15.8302i	1.20470	−	1.06727i
$221$	20.0765	+	6.53957i	1.35049	+	0.439899i
$222$	−3.86055	−	3.42015i	−0.259103	−	0.229545i
$223$	0.815820	−	1.18192i	0.0546314	−	0.0791472i	−0.794716	−	0.606981i	$-0.792380\pi$
$223$	0.815820	−	1.18192i	0.0546314	−	0.0791472i	0.849348	+	0.527834i	$0.176996\pi$
$224$	−4.95286	+	13.0596i	−0.330927	+	0.872582i
$225$	0.474594	+	3.90863i	0.0316396	+	0.260575i
$226$	−1.98698	+	16.3643i	−0.132172	+	1.08853i
$227$	−14.4256	−	7.57116i	−0.957463	−	0.502516i	−0.0877878	−	0.996139i	$-0.527980\pi$
$227$	−14.4256	−	7.57116i	−0.957463	−	0.502516i	−0.869676	+	0.493624i	$0.835672\pi$
$228$	−5.81379	+	8.42273i	−0.385028	+	0.557809i
$229$	−2.97273	−	7.83843i	−0.196443	−	0.517978i	0.800210	−	0.599719i	$-0.204721\pi$
$229$	−2.97273	−	7.83843i	−0.196443	−	0.517978i	−0.996654	+	0.0817412i	$0.973952\pi$
$230$	15.8855	−	14.0734i	1.04746	−	0.927970i
$231$	8.04522	−	11.6555i	0.529337	−	0.766876i
$232$	4.92465	+	7.13459i	0.323319	+	0.468409i
$233$	−1.97450	−	16.2615i	−0.129354	−	1.06532i	−0.902378	−	0.430946i	$-0.858180\pi$
$233$	−1.97450	−	16.2615i	−0.129354	−	1.06532i	0.773024	−	0.634377i	$-0.218743\pi$
$234$	−2.89461	−	0.212363i	−0.189227	−	0.0138826i
$235$	−2.66788	+	21.9720i	−0.174033	+	1.43329i
$236$	11.6180	−	6.09761i	0.756269	−	0.396920i
$237$	−0.441725	−	1.16473i	−0.0286931	−	0.0756576i
$238$	−1.36254	+	11.2215i	−0.0883201	+	0.727381i
$239$	−13.5791			−0.878359			−0.439179	−	0.898399i	$-0.644731\pi$
$239$	−13.5791			−0.878359			−0.439179	+	0.898399i	$0.644731\pi$
$240$	−0.191685	+	1.57867i	−0.0123732	+	0.101903i
$241$	10.0959	+	14.6264i	0.650331	+	0.942168i	0.999986	+	0.00528900i	$0.00168355\pi$
$241$	10.0959	+	14.6264i	0.650331	+	0.942168i	−0.349655	+	0.936879i	$0.613701\pi$
$242$	18.6670	−	4.60101i	1.19996	−	0.295764i
$243$	0.568065	−	0.822984i	0.0364414	−	0.0527944i
$244$	−6.06024	+	1.49371i	−0.387967	+	0.0956252i
$245$	3.30913	+	1.73677i	0.211413	+	0.110958i
$246$	0.566992	+	0.297581i	0.0361501	+	0.0189730i
$247$	25.0302	−	10.8815i	1.59263	−	0.692375i
$248$	18.1863	−	9.54492i	1.15483	−	0.606103i
$249$	−2.18215			−0.138288
$250$	−2.26439	−	1.18844i	−0.143213	−	0.0751637i
$251$	−4.95715	+	13.0709i	−0.312892	+	0.825030i	0.682653	+	0.730743i	$0.260826\pi$
$251$	−4.95715	+	13.0709i	−0.312892	+	0.825030i	−0.995545	+	0.0942865i	$0.969943\pi$
$252$	0.390777	+	3.21834i	0.0246166	+	0.202736i
$253$	−50.5729	+	12.4651i	−3.17949	+	0.783674i
$254$	3.11019	−	0.766594i	0.195151	−	0.0481004i
$255$	2.11026	+	17.3796i	0.132150	+	1.08835i
$256$	5.06328	−	13.3508i	0.316455	−	0.834423i
$257$	0.322053	+	0.169027i	0.0200891	+	0.0105436i	0.474738	−	0.880127i	$-0.342543\pi$
$257$	0.322053	+	0.169027i	0.0200891	+	0.0105436i	−0.454649	+	0.890671i	$0.650235\pi$
$258$	−1.35085			−0.0841001
$259$	13.6039	−	7.13989i	0.845306	−	0.443651i
$260$	9.13388	−	11.3556i	0.566459	−	0.704247i
$261$	2.84482	+	1.49308i	0.176090	+	0.0924191i
$262$	−1.83604	−	0.963626i	−0.113431	−	0.0595330i
$263$	3.25618	−	0.802577i	0.200785	−	0.0494890i	−0.137641	−	0.990482i	$-0.543952\pi$
$263$	3.25618	−	0.802577i	0.200785	−	0.0494890i	0.338425	+	0.940993i	$0.390106\pi$
$264$	−9.05310	+	13.1157i	−0.557180	+	0.807214i
$265$	9.72917	−	2.39802i	0.597658	−	0.147309i
$266$	8.30033	+	12.0251i	0.508926	+	0.737306i
$267$	−0.104443	+	0.860162i	−0.00639178	+	0.0526410i
$268$	3.22059			0.196729
$269$	−0.453724	+	3.73675i	−0.0276640	+	0.227834i	−0.999983	−	0.00582346i	$-0.998146\pi$
$269$	−0.453724	+	3.73675i	−0.0276640	+	0.227834i	0.972319	+	0.233657i	$0.0750694\pi$
$270$	−0.853362	−	2.25013i	−0.0519340	−	0.136939i
$271$	−19.2928	+	10.1256i	−1.17195	+	0.615088i	−0.934379	−	0.356281i	$-0.884045\pi$
$271$	−19.2928	+	10.1256i	−1.17195	+	0.615088i	−0.237574	+	0.971369i	$0.576352\pi$
$272$	−0.375490	+	3.09244i	−0.0227674	+	0.187506i
$273$	3.64909	−	7.83792i	0.220853	−	0.474372i
$274$	0.573608	+	4.72409i	0.0346529	+	0.285392i
$275$	−13.2102	−	19.1383i	−0.796606	−	1.15408i
$276$	6.77318	−	9.81264i	0.407697	−	0.590652i
$277$	−18.3192	+	16.2294i	−1.10070	+	0.975132i	−0.999805	−	0.0197653i	$-0.993708\pi$
$277$	−18.3192	+	16.2294i	−1.10070	+	0.975132i	−0.100892	+	0.994897i	$0.532170\pi$
$278$	0.842260	+	2.22086i	0.0505154	+	0.133198i
$279$	4.32400	−	6.26440i	0.258871	−	0.375040i
$280$	17.1274	+	8.98915i	1.02356	+	0.537204i
$281$	0.0671379	−	0.552930i	0.00400511	−	0.0329851i	−0.990569	−	0.137013i	$-0.956250\pi$
$281$	0.0671379	−	0.552930i	0.00400511	−	0.0329851i	0.994574	+	0.104028i	$0.0331730\pi$
$282$	−0.718368	−	5.91629i	−0.0427782	−	0.352310i
$283$	3.67779	−	9.69753i	0.218622	−	0.576458i	−0.780172	−	0.625565i	$-0.784868\pi$
$283$	3.67779	−	9.69753i	0.218622	−	0.576458i	0.998794	+	0.0491072i	$0.0156376\pi$
$284$	3.97299	−	5.75587i	0.235754	−	0.341548i
$285$	16.9389	+	15.0065i	1.00337	+	0.888910i
$286$	15.7208	−	6.83442i	0.929593	−	0.404128i
$287$	−1.42776	+	1.26488i	−0.0842778	+	0.0746636i
$288$	−0.702102	−	5.78233i	−0.0413717	−	0.340727i
$289$	2.08465	+	17.1686i	0.122626	+	1.00992i
$290$	6.84610	−	3.59311i	0.402017	−	0.210995i
$291$	−13.4725	+	7.07089i	−0.789769	+	0.414503i
$292$	−3.70627	−	0.913512i	−0.216893	−	0.0534593i
$293$	22.4078	−	19.8515i	1.30908	−	1.15974i	0.332850	−	0.942980i	$-0.391990\pi$
$293$	22.4078	−	19.8515i	1.30908	−	1.15974i	0.976225	−	0.216760i	$-0.0695488\pi$
$294$	−0.977059	−	0.240823i	−0.0569832	−	0.0140451i
$295$	−10.2881	−	27.1274i	−0.598995	−	1.57942i
$296$	−15.3082	+	8.03435i	−0.889770	+	0.466987i
$297$	−0.711916	+	5.86316i	−0.0413096	+	0.340215i
$298$	−3.30950	+	0.815719i	−0.191714	+	0.0472533i
$299$	−29.1606	+	12.6772i	−1.68640	+	0.733140i
$300$	5.16863	+	1.27395i	0.298411	+	0.0735517i
$301$	1.42691	−	3.76245i	0.0822458	−	0.216864i
$302$	−11.6245	−	10.2985i	−0.668918	−	0.592609i
$303$	−4.68018	+	1.15356i	−0.268869	+	0.0662704i
$304$	2.28742	+	3.31390i	0.131192	+	0.190065i
$305$	1.66357	+	13.7007i	0.0952556	+	0.784500i
$306$	−1.67164	−	4.40775i	−0.0955613	−	0.251975i
$307$	−0.774796	+	2.04297i	−0.0442199	+	0.116598i	−0.955307	−	0.295616i	$-0.904475\pi$
$307$	−0.774796	+	2.04297i	−0.0442199	+	0.116598i	0.911087	+	0.412214i	$0.135244\pi$
$308$	−10.8772	−	15.7583i	−0.619786	−	0.897915i
$309$	−5.71732	−	1.40919i	−0.325247	−	0.0801662i
$310$	−6.49564	−	17.1276i	−0.368927	−	0.972782i
$311$	2.69071	−	7.09482i	0.152576	−	0.402310i	−0.836834	−	0.547457i	$-0.815596\pi$
$311$	2.69071	−	7.09482i	0.152576	−	0.402310i	0.989410	+	0.145146i	$0.0463653\pi$
$312$	−4.10623	+	8.81983i	−0.232470	+	0.499324i
$313$	−3.66916	−	9.67478i	−0.207393	−	0.546851i	0.790448	−	0.612530i	$-0.209848\pi$
$313$	−3.66916	−	9.67478i	−0.207393	−	0.546851i	−0.997841	+	0.0656788i	$0.979079\pi$
$314$	−4.34135	+	3.84610i	−0.244996	+	0.217048i
$315$	7.16860			0.403905
$316$	−1.68417			−0.0947422
$317$	11.5459	−	10.2288i	0.648482	−	0.574505i	−0.273436	−	0.961890i	$-0.588160\pi$
$317$	11.5459	−	10.2288i	0.648482	−	0.574505i	0.921918	+	0.387385i	$0.126622\pi$
$318$	−2.38908	+	1.25388i	−0.133973	+	0.0703143i
$319$	−18.9757			−1.06243
$320$	−9.59563	−	5.03618i	−0.536412	−	0.281531i
$321$	−3.01937	−	2.67493i	−0.168525	−	0.149300i
$322$	−9.67004	−	14.0095i	−0.538890	−	0.780717i
$323$	33.1813	+	29.3961i	1.84626	+	1.63564i
$324$	−0.768028	−	1.11268i	−0.0426682	−	0.0618156i
$325$	−9.90879	−	10.1661i	−0.549641	−	0.563915i
$326$	6.16290	−	8.92851i	0.341332	−	0.494504i
$327$	0.581410	−	0.143305i	0.0321520	−	0.00792477i
$328$	1.60662	−	1.42334i	0.0887108	−	0.0785909i
$329$	17.2372	+	4.24859i	0.950317	+	0.234232i
$330$	10.6389	+	9.42524i	0.585652	+	0.518842i
$331$	24.3689	+	21.5889i	1.33943	+	1.18664i	0.965869	+	0.259032i	$0.0834036\pi$
$331$	24.3689	+	21.5889i	1.33943	+	1.18664i	0.373566	+	0.927604i	$0.378135\pi$
$332$	−1.04619	+	2.75857i	−0.0574170	+	0.151396i
$333$	−3.63969	+	5.27300i	−0.199454	+	0.288959i
$334$	−14.2159	−	7.46109i	−0.777860	−	0.408253i
$335$	0.858380	−	7.06940i	0.0468983	−	0.386242i
$336$	1.23848	+	0.305258i	0.0675646	+	0.0166532i
$337$	26.1735			1.42576			0.712880	−	0.701286i	$-0.247390\pi$
$337$	26.1735			1.42576			0.712880	+	0.701286i	$0.247390\pi$
$338$	8.76186	−	5.72192i	0.476582	−	0.311232i
$339$	20.4781			1.11222
$340$	22.9821	+	5.66458i	1.24638	+	0.307205i
$341$	−5.41897	+	44.6293i	−0.293454	+	2.41681i
$342$	−5.39553	−	2.83179i	−0.291757	−	0.153126i
$343$	11.2380	−	16.2810i	0.606792	−	0.879090i
$344$	−1.60567	+	4.23380i	−0.0865719	+	0.228271i
$345$	−19.7341	−	17.4829i	−1.06245	−	0.941247i
$346$	−0.761027	−	0.674211i	−0.0409131	−	0.0362458i
$347$	−19.3654	−	4.77314i	−1.03959	−	0.256235i	−0.317661	−	0.948204i	$-0.602897\pi$
$347$	−19.3654	−	4.77314i	−1.03959	−	0.256235i	−0.721927	+	0.691969i	$0.756744\pi$
$348$	3.25136	−	2.88045i	0.174291	−	0.154409i
$349$	−4.32293	+	1.06551i	−0.231401	+	0.0570352i	−0.353311	−	0.935506i	$-0.614944\pi$
$349$	−4.32293	+	1.06551i	−0.231401	+	0.0570352i	0.121910	+	0.992541i	$0.461098\pi$
$350$	4.31733	−	6.25474i	0.230771	−	0.334330i
$351$	0.171548	+	3.60147i	0.00915657	+	0.192232i
$352$	19.5429	+	28.3127i	1.04164	+	1.50907i
$353$	−3.52951	−	3.12688i	−0.187857	−	0.166427i	0.563952	−	0.825807i	$-0.309280\pi$
$353$	−3.52951	−	3.12688i	−0.187857	−	0.166427i	−0.751809	+	0.659381i	$0.770819\pi$
$354$	4.43781	+	6.42927i	0.235867	+	0.341712i
$355$	−11.5756	−	10.2551i	−0.614368	−	0.544282i
$356$	1.03730	+	0.544417i	0.0549768	+	0.0288541i
$357$	14.0425			0.743207
$358$	9.40812	−	4.93776i	0.497234	−	0.260969i
$359$	25.2439	−	22.3641i	1.33232	−	1.18033i	0.363780	−	0.931485i	$-0.381486\pi$
$359$	25.2439	−	22.3641i	1.33232	−	1.18033i	0.968542	−	0.248849i	$-0.0800524\pi$
$360$	−8.06666			−0.425150
$361$	38.3013			2.01586
$362$	−1.98991	+	1.76291i	−0.104588	+	0.0926564i
$363$	−8.46918	−	22.3314i	−0.444517	−	1.17209i
$364$	−8.15882	−	8.37072i	−0.427638	−	0.438745i
$365$	−2.99304	+	7.89200i	−0.156663	+	0.413086i
$366$	−1.31779	−	3.47473i	−0.0688820	−	0.181627i
$367$	−14.2609	−	3.51500i	−0.744413	−	0.183481i	−0.151174	−	0.988507i	$-0.548305\pi$
$367$	−14.2609	−	3.51500i	−0.744413	−	0.183481i	−0.593240	+	0.805026i	$0.702151\pi$
$368$	−2.66488	−	3.86075i	−0.138917	−	0.201256i
$369$	0.282079	−	0.743780i	0.0146844	−	0.0387197i
$370$	5.46764	+	14.4170i	0.284249	+	0.749504i
$371$	−0.968786	−	7.97867i	−0.0502969	−	0.414232i
$372$	−5.84609	−	8.46952i	−0.303106	−	0.439124i
$373$	7.57153	−	1.86621i	0.392039	−	0.0966289i	−0.0383685	−	0.999264i	$-0.512216\pi$
$373$	7.57153	−	1.86621i	0.392039	−	0.0966289i	0.430407	+	0.902635i	$0.358370\pi$
$374$	20.8404	+	18.4630i	1.07763	+	0.954698i
$375$	−1.12653	+	2.97042i	−0.0581739	+	0.153392i
$376$	−19.3966	−	4.78084i	−1.00030	−	0.246553i
$377$	−11.4201	+	1.94185i	−0.588165	+	0.100011i
$378$	−1.87417	+	0.461941i	−0.0963967	+	0.0237597i
$379$	−0.807592	+	6.65112i	−0.0414832	+	0.341645i	0.957160	+	0.289561i	$0.0935094\pi$
$379$	−0.807592	+	6.65112i	−0.0414832	+	0.341645i	−0.998643	+	0.0520838i	$0.983414\pi$
$380$	27.0915	−	14.2187i	1.38976	−	0.729404i
$381$	−1.41109	−	3.72073i	−0.0722922	−	0.190619i
$382$	−12.8638	−	3.17064i	−0.658170	−	0.162224i
$383$	18.9052	−	16.7485i	0.966009	−	0.855809i	−0.0235817	−	0.999722i	$-0.507507\pi$
$383$	18.9052	−	16.7485i	0.966009	−	0.855809i	0.989590	+	0.143913i	$0.0459685\pi$
$384$	−8.47786	−	2.08960i	−0.432634	−	0.106635i
$385$	−37.4896	+	19.6761i	−1.91065	+	1.00279i
$386$	−10.5096	+	5.51587i	−0.534925	+	0.280750i
$387$	0.202274	+	1.66588i	0.0102822	+	0.0846814i
$388$	2.47958	+	20.4212i	0.125882	+	1.03673i
$389$	−17.1584	+	15.2010i	−0.869965	+	0.770722i	−0.974639	−	0.223785i	$-0.928159\pi$
$389$	−17.1584	+	15.2010i	−0.869965	+	0.770722i	0.104673	+	0.994507i	$0.466620\pi$
$390$	7.36731	+	4.58366i	0.373058	+	0.232102i
$391$	−38.6569	−	34.2470i	−1.95496	−	1.73195i
$392$	−1.91615	+	2.77603i	−0.0967804	+	0.140211i
$393$	−0.913428	+	2.40851i	−0.0460763	+	0.121493i
$394$	1.33147	+	10.9656i	0.0670783	+	0.552440i
$395$	−0.448881	+	3.69686i	−0.0225856	+	0.186009i
$396$	7.07060	+	3.71094i	0.355311	+	0.186482i
$397$	−11.1736	+	16.1877i	−0.560785	+	0.812438i	−0.996136	−	0.0878231i	$-0.972009\pi$
$397$	−11.1736	+	16.1877i	−0.560785	+	0.812438i	0.435351	+	0.900261i	$0.356624\pi$
$398$	−3.51597	−	9.27084i	−0.176239	−	0.464705i
$399$	13.5866	−	12.0367i	0.680181	−	0.602588i
$400$	1.18978	−	1.72369i	0.0594889	−	0.0861845i
$401$	−20.9273	−	30.3185i	−1.04506	−	1.51403i	−0.845376	−	0.534172i	$-0.820623\pi$
$401$	−20.9273	−	30.3185i	−1.04506	−	1.51403i	−0.199685	−	0.979860i	$-0.563992\pi$
$402$	0.231132	+	1.90354i	0.0115278	+	0.0949402i
$403$	1.30579	+	27.4137i	0.0650462	+	1.36557i
$404$	−0.785540	+	6.46950i	−0.0390821	+	0.321870i
$405$	−2.64710	+	1.38931i	−0.131536	+	0.0690352i
$406$	−2.19911	−	5.79858i	−0.109140	−	0.287779i
$407$	4.56137	−	37.5663i	0.226099	−	1.86209i
$408$	−15.8017			−0.782300
$409$	0.0225317	−	0.185565i	0.00111412	−	0.00917560i	−0.992141	−	0.125123i	$-0.960067\pi$
$409$	0.0225317	−	0.185565i	0.00111412	−	0.00917560i	0.993255	+	0.115948i	$0.0369905\pi$
$410$	−1.08746	−	1.57545i	−0.0537057	−	0.0778061i
$411$	5.73990	−	1.41476i	0.283128	−	0.0697849i
$412$	−4.52248	+	6.55194i	−0.222807	+	0.322791i
$413$	−22.5948	+	5.56913i	−1.11182	+	0.274039i
$414$	6.28589	+	3.29909i	0.308935	+	0.162141i
$415$	5.77639	+	3.03168i	0.283552	+	0.148820i
$416$	14.6588	+	15.0395i	0.718707	+	0.737373i
$417$	2.61266	−	1.37123i	0.127943	−	0.0671495i
$418$	35.9896			1.76031
$419$	12.8578	+	6.74830i	0.628145	+	0.329676i	0.748579	−	0.663045i	$-0.230736\pi$
$419$	12.8578	+	6.74830i	0.628145	+	0.329676i	−0.120434	+	0.992721i	$0.538429\pi$
$420$	3.43683	−	9.06219i	0.167700	−	0.442189i
$421$	4.09561	+	33.7304i	0.199608	+	1.64392i	0.656450	+	0.754370i	$0.272057\pi$
$421$	4.09561	+	33.7304i	0.199608	+	1.64392i	−0.456842	+	0.889548i	$0.651020\pi$
$422$	−7.61191	+	1.87617i	−0.370542	+	0.0913304i
$423$	−7.18846	+	1.77180i	−0.349515	+	0.0861477i
$424$	1.09015	+	8.97822i	0.0529425	+	0.436021i
$425$	8.17638	−	21.5593i	0.396613	−	1.04578i
$426$	3.68716	+	1.93517i	0.178644	+	0.0937593i
$427$	11.0700			0.535715
$428$	−4.82909	+	2.53450i	−0.233423	+	0.122510i
$429$	−10.7823	−	18.3637i	−0.520574	−	0.886609i
$430$	3.57584	+	1.87674i	0.172442	+	0.0905046i
$431$	−12.8195	−	6.72820i	−0.617495	−	0.324086i	0.126809	−	0.991927i	$-0.459526\pi$
$431$	−12.8195	−	6.72820i	−0.617495	−	0.324086i	−0.744304	+	0.667841i	$0.767219\pi$
$432$	−0.516486	+	0.127302i	−0.0248494	+	0.00612484i
$433$	−14.0771	+	20.3942i	−0.676501	+	0.980081i	0.322932	+	0.946422i	$0.395331\pi$
$433$	−14.0771	+	20.3942i	−0.676501	+	0.980081i	−0.999433	+	0.0336590i	$0.989284\pi$
$434$	−14.2658	+	3.51621i	−0.684781	+	0.168783i
$435$	−5.45619	−	7.90466i	−0.261604	−	0.378999i
$436$	0.0975861	−	0.803693i	0.00467352	−	0.0384899i
$437$	−66.7571			−3.19343
$438$	0.273948	−	2.25616i	0.0130897	−	0.107804i
$439$	9.67176	+	25.5023i	0.461608	+	1.21716i	0.940653	+	0.339370i	$0.110214\pi$
$439$	9.67176	+	25.5023i	0.461608	+	1.21716i	−0.479045	+	0.877790i	$0.659017\pi$
$440$	42.1862	−	22.1410i	2.01115	−	1.05553i
$441$	−0.150682	+	1.24098i	−0.00717534	+	0.0590943i
$442$	14.4317	+	8.97887i	0.686447	+	0.427081i
$443$	1.14831	+	9.45717i	0.0545578	+	0.449324i	0.994232	+	0.107252i	$0.0342053\pi$
$443$	1.14831	+	9.45717i	0.0545578	+	0.449324i	−0.939674	+	0.342071i	$0.888872\pi$
$444$	4.92089	+	7.12914i	0.233535	+	0.338334i
$445$	1.47150	−	2.13183i	0.0697558	−	0.101059i
$446$	0.865325	−	0.766611i	0.0409743	−	0.0363001i
$447$	1.50151	+	3.95917i	0.0710192	+	0.187262i
$448$	−4.93777	+	7.15359i	−0.233288	+	0.337976i
$449$	−18.8224	−	9.87875i	−0.888283	−	0.466207i	−0.0421087	−	0.999113i	$-0.513408\pi$
$449$	−18.8224	−	9.87875i	−0.888283	−	0.466207i	−0.846174	+	0.532906i	$0.821100\pi$
$450$	−0.382038	+	3.14637i	−0.0180094	+	0.148321i
$451$	0.566310	+	4.66398i	0.0266665	+	0.219618i
$452$	9.81779	−	25.8874i	0.461790	−	1.21764i
$453$	−10.9595	+	15.8776i	−0.514923	+	0.745994i
$454$	−9.81637	−	8.69654i	−0.460705	−	0.408149i
$455$	−20.5488	+	15.6781i	−0.963342	+	0.735000i
$456$	−15.2887	+	13.5446i	−0.715958	+	0.634284i
$457$	−0.770163	−	6.34286i	−0.0360267	−	0.296707i	−0.999574	−	0.0291702i	$-0.990714\pi$
$457$	−0.770163	−	6.34286i	−0.0360267	−	0.296707i	0.963548	−	0.267536i	$-0.0862096\pi$
$458$	−0.813418	−	6.69910i	−0.0380085	−	0.313029i
$459$	−5.18538	+	2.72150i	−0.242033	+	0.127029i
$460$	−31.5621	+	16.5651i	−1.47159	+	0.772350i
$461$	−14.5239	−	3.57983i	−0.676447	−	0.166729i	−0.113897	−	0.993493i	$-0.536333\pi$
$461$	−14.5239	−	3.57983i	−0.676447	−	0.166729i	−0.562550	+	0.826763i	$0.690180\pi$
$462$	8.53341	−	7.55994i	0.397010	−	0.351720i
$463$	37.5612	+	9.25801i	1.74562	+	0.430256i	0.977651	−	0.210234i	$-0.0674226\pi$
$463$	37.5612	+	9.25801i	1.74562	+	0.430256i	0.767966	+	0.640490i	$0.221269\pi$
$464$	−0.606035	−	1.59798i	−0.0281345	−	0.0741845i
$465$	−20.1493	+	10.5752i	−0.934400	+	0.490411i
$466$	1.58943	−	13.0901i	0.0736289	−	0.606389i
$467$	26.3129	−	6.48556i	1.21762	−	0.300116i	0.422383	−	0.906418i	$-0.361194\pi$
$467$	26.3129	−	6.48556i	1.21762	−	0.300116i	0.795235	+	0.606302i	$0.207348\pi$
$468$	4.63504	+	1.50978i	0.214255	+	0.0697898i
$469$	−5.54600	−	1.36697i	−0.256091	−	0.0631206i
$470$	−6.31795	+	16.6591i	−0.291425	+	0.768426i
$471$	5.39311	+	4.77788i	0.248502	+	0.220153i
$472$	25.4255	−	6.26681i	1.17030	−	0.288453i
$473$	−5.63027	−	8.15685i	−0.258880	−	0.375053i
$474$	−0.120868	−	0.995438i	−0.00555165	−	0.0457220i
$475$	−10.5689	−	27.8679i	−0.484934	−	1.27867i
$476$	6.73237	−	17.7518i	0.308578	−	0.813652i
$477$	1.90404	+	2.75848i	0.0871800	+	0.126302i
$478$	−10.6133	−	2.61593i	−0.485439	−	0.119650i
$479$	−4.11946	−	10.8621i	−0.188223	−	0.496303i	0.807374	−	0.590040i	$-0.200888\pi$
$479$	−4.11946	−	10.8621i	−0.188223	−	0.496303i	−0.995597	+	0.0937371i	$0.970119\pi$
$480$	−6.17490	+	16.2819i	−0.281844	+	0.743162i
$481$	−1.09914	−	23.0752i	−0.0501164	−	1.05214i
$482$	5.07312	+	13.3767i	0.231074	+	0.609292i
$483$	−15.8286	+	14.0230i	−0.720228	+	0.638066i
$484$	−32.2906			−1.46776
$485$	45.4866			2.06544
$486$	0.602536	−	0.533800i	0.0273316	−	0.0242137i
$487$	−9.38418	+	4.92520i	−0.425238	+	0.223182i	−0.663745	−	0.747959i	$-0.731034\pi$
$487$	−9.38418	+	4.92520i	−0.425238	+	0.223182i	0.238508	+	0.971141i	$0.423342\pi$
$488$	−12.4568			−0.563893
$489$	−11.9336	−	6.26321i	−0.539654	−	0.283232i
$490$	2.25180	+	1.99492i	0.101726	+	0.0901213i
$491$	−9.24335	−	13.3913i	−0.417147	−	0.604341i	0.556930	−	0.830559i	$-0.311979\pi$
$491$	−9.24335	−	13.3913i	−0.417147	−	0.604341i	−0.974077	+	0.226218i	$0.927364\pi$
$492$	−0.805013	−	0.713179i	−0.0362928	−	0.0321526i
$493$	−10.6881	−	15.4843i	−0.481366	−	0.697379i
$494$	21.6596	−	3.68295i	0.974509	−	0.165704i
$495$	10.0302	−	14.5313i	0.450826	−	0.653134i
$496$	−3.93140	+	0.969002i	−0.176525	+	0.0435095i
$497$	−9.28472	+	8.22554i	−0.416477	+	0.368966i
$498$	−1.70555	−	0.420379i	−0.0764273	−	0.0188376i
$499$	−14.8660	−	13.1702i	−0.665496	−	0.589578i	0.261248	−	0.965272i	$-0.415866\pi$
$499$	−14.8660	−	13.1702i	−0.665496	−	0.589578i	−0.926744	+	0.375694i	$0.877404\pi$
$500$	3.21497	+	2.84821i	0.143778	+	0.127376i
$501$	−7.07242	+	18.6484i	−0.315972	+	0.833151i
$502$	−6.39249	+	9.26111i	−0.285311	+	0.413344i
$503$	−29.2311	−	15.3416i	−1.30335	−	0.684050i	−0.337053	−	0.941486i	$-0.609430\pi$
$503$	−29.2311	−	15.3416i	−1.30335	−	0.684050i	−0.966295	+	0.257436i	$0.917122\pi$
$504$	−0.779901	+	6.42306i	−0.0347395	+	0.286106i
$505$	13.9916	+	3.44862i	0.622617	+	0.153461i
$506$	−41.9285			−1.86395
$507$	−8.36833	−	9.94842i	−0.371650	−	0.441825i
$508$	−5.38008			−0.238702
$509$	30.1389	+	7.42856i	1.33588	+	0.329265i	0.841630	−	0.540054i	$-0.181596\pi$
$509$	30.1389	+	7.42856i	1.33588	+	0.329265i	0.494251	+	0.869319i	$0.335442\pi$
$510$	−1.69872	+	13.9902i	−0.0752205	+	0.619497i
$511$	5.99461	+	3.14622i	0.265186	+	0.139180i
$512$	−3.39086	+	4.91251i	−0.149856	+	0.217104i
$513$	−2.68428	+	7.07785i	−0.118514	+	0.312495i
$514$	0.219151	+	0.194151i	0.00966634	+	0.00856363i
$515$	13.1765	+	11.6734i	0.580628	+	0.514391i
$516$	2.20290	+	0.542965i	0.0969772	+	0.0239027i
$517$	32.7303	−	28.9966i	1.43948	−	1.27527i
$518$	12.0081	−	2.95973i	0.527606	−	0.130043i
$519$	−0.717489	+	1.03946i	−0.0314943	+	0.0456273i
$520$	23.1231	−	17.6422i	1.01401	−	0.773661i
$521$	−0.763354	−	1.10591i	−0.0334431	−	0.0484507i	0.805906	−	0.592044i	$-0.201679\pi$
$521$	−0.763354	−	1.10591i	−0.0334431	−	0.0484507i	−0.839349	+	0.543593i	$0.817063\pi$
$522$	1.93584	+	1.71501i	0.0847296	+	0.0750639i
$523$	−21.7556	−	31.5184i	−0.951306	−	1.37820i	−0.925587	−	0.378536i	$-0.876428\pi$
$523$	−21.7556	−	31.5184i	−0.951306	−	1.37820i	−0.0257195	−	0.999669i	$-0.508188\pi$
$524$	2.60679	+	2.30942i	0.113878	+	0.100887i
$525$	−8.35988	−	4.38760i	−0.364855	−	0.191491i
$526$	2.69960			0.117708
$527$	−39.4701	+	20.7155i	−1.71935	+	0.902383i
$528$	2.35165	−	2.08338i	0.102343	−	0.0906675i
$529$	54.7733			2.38145
$530$	8.06617			0.350372
$531$	7.26413	−	6.43546i	0.315236	−	0.279275i
$532$	−8.70236	−	22.9462i	−0.377295	−	0.994845i
$533$	0.818105	+	2.74897i	0.0354361	+	0.119071i
$534$	−0.247336	+	0.652172i	−0.0107033	+	0.0282222i
$535$	4.27630	+	11.2757i	0.184880	+	0.487490i
$536$	6.24079	+	1.53822i	0.269561	+	0.0664408i
$537$	−7.49806	−	10.8628i	−0.323565	−	0.468765i
$538$	−1.07449	+	2.83319i	−0.0463245	+	0.122148i
$539$	−2.61817	−	6.90354i	−0.112772	−	0.297356i
$540$	0.487195	+	4.01241i	0.0209655	+	0.172667i
$541$	−11.8962	−	17.2346i	−0.511456	−	0.740971i	0.479148	−	0.877734i	$-0.340946\pi$
$541$	−11.8962	−	17.2346i	−0.511456	−	0.740971i	−0.990604	+	0.136763i	$0.956330\pi$
$542$	−17.0297	+	4.19743i	−0.731486	+	0.180295i
$543$	2.47201	+	2.19001i	0.106084	+	0.0939821i
$544$	−12.0959	+	31.8943i	−0.518609	+	1.36746i
$545$	−1.73815	−	0.428415i	−0.0744540	−	0.0183513i
$546$	4.36201	−	5.42305i	0.186677	−	0.232085i
$547$	−8.76256	+	2.15978i	−0.374660	+	0.0923454i	−0.422149	−	0.906526i	$-0.638724\pi$
$547$	−8.76256	+	2.15978i	−0.374660	+	0.0923454i	0.0474893	+	0.998872i	$0.484878\pi$
$548$	0.963407	−	7.93437i	0.0411547	−	0.338939i
$549$	−4.08775	+	2.14542i	−0.174461	+	0.0915641i
$550$	−6.63807	−	17.5031i	−0.283048	−	0.746337i
$551$	−23.6137	−	5.82024i	−1.00598	−	0.247951i
$552$	17.8116	−	15.7797i	0.758112	−	0.671629i
$553$	2.90022	+	0.714840i	0.123330	+	0.0303981i
$554$	−17.4446	+	9.15564i	−0.741150	+	0.388986i
$555$	16.9605	−	8.90154i	0.719932	−	0.377849i
$556$	−0.480856	−	3.96021i	−0.0203928	−	0.167950i
$557$	−1.23325	−	10.1567i	−0.0522543	−	0.430353i	−0.995235	−	0.0975055i	$-0.968914\pi$
$557$	−1.23325	−	10.1567i	−0.0522543	−	0.430353i	0.942981	−	0.332847i	$-0.108009\pi$
$558$	4.58639	−	4.06319i	0.194157	−	0.172008i
$559$	−4.22318	−	4.33286i	−0.178621	−	0.183260i
$560$	−2.85429	−	2.52868i	−0.120616	−	0.106856i
$561$	19.6481	−	28.4652i	0.829544	−	1.20180i
$562$	0.158993	−	0.419230i	0.00670671	−	0.0176841i
$563$	1.98155	+	16.3195i	0.0835123	+	0.687786i	0.972996	+	0.230820i	$0.0741408\pi$
$563$	1.98155	+	16.3195i	0.0835123	+	0.687786i	−0.889484	+	0.456966i	$0.848936\pi$
$564$	−1.20654	+	9.93675i	−0.0508045	+	0.418413i
$565$	−54.2077	−	28.4504i	−2.28053	−	1.19692i
$566$	4.74269	−	6.87097i	0.199350	−	0.288808i
$567$	0.850306	+	2.24207i	0.0357095	+	0.0941582i
$568$	10.4479	−	9.25601i	0.438383	−	0.388374i
$569$	−0.130967	+	0.189738i	−0.00549042	+	0.00795425i	−0.825719	−	0.564081i	$-0.809231\pi$
$569$	−0.130967	+	0.189738i	−0.00549042	+	0.00795425i	0.820229	+	0.572035i	$0.193846\pi$
$570$	10.3483	+	14.9921i	0.433443	+	0.627950i
$571$	4.78437	+	39.4028i	0.200219	+	1.64896i	0.653018	+	0.757343i	$0.273503\pi$
$571$	4.78437	+	39.4028i	0.200219	+	1.64896i	−0.452798	+	0.891613i	$0.649574\pi$
$572$	−28.3839	+	4.82634i	−1.18679	+	0.201799i
$573$	−1.98386	+	16.3386i	−0.0828769	+	0.682553i
$574$	−1.35959	+	0.713567i	−0.0567481	+	0.0297837i
$575$	12.3130	+	32.4666i	0.513486	+	1.35395i
$576$	0.436940	−	3.59853i	0.0182058	−	0.149939i
$577$	29.0997			1.21144			0.605718	−	0.795680i	$-0.292886\pi$
$577$	29.0997			1.21144			0.605718	+	0.795680i	$0.292886\pi$
$578$	−1.67810	+	13.8204i	−0.0697996	+	0.574852i
$579$	8.37592	+	12.1346i	0.348091	+	0.504297i
$580$	−12.6085	+	3.10772i	−0.523541	+	0.129041i
$581$	2.97244	−	4.30633i	0.123318	−	0.178657i
$582$	−11.8921	+	2.93113i	−0.492942	+	0.121499i
$583$	−17.5289	−	9.19988i	−0.725973	−	0.381020i
$584$	−6.74560	−	3.54036i	−0.279135	−	0.146501i
$585$	4.54944	−	9.77180i	0.188096	−	0.404014i
$586$	21.3379	−	11.1990i	0.881461	−	0.462627i
$587$	−38.6253			−1.59424			−0.797119	−	0.603823i	$-0.793643\pi$
$587$	−38.6253			−1.59424			−0.797119	+	0.603823i	$0.793643\pi$
$588$	1.49654	+	0.785446i	0.0617164	+	0.0323913i
$589$	−20.4322	+	53.8753i	−0.841895	+	2.21989i
$590$	−2.81510	−	23.1844i	−0.115896	−	0.954488i
$591$	13.3235	−	3.28396i	0.548057	−	0.135084i
$592$	3.30922	−	0.815649i	0.136008	−	0.0335229i
$593$	−0.992628	−	8.17503i	−0.0407623	−	0.335708i	−0.998796	−	0.0490529i	$-0.984380\pi$
$593$	−0.992628	−	8.17503i	−0.0407623	−	0.335708i	0.958034	−	0.286655i	$-0.0925434\pi$
$594$	−1.68593	+	4.44543i	−0.0691745	+	0.182398i
$595$	−37.1719	−	19.5093i	−1.52390	−	0.799804i
$596$	5.72485			0.234499
$597$	−10.9064	+	5.72413i	−0.446370	+	0.234273i
$598$	−25.2338	+	4.29071i	−1.03189	+	0.175460i
$599$	17.2077	+	9.03132i	0.703089	+	0.369010i	0.778072	−	0.628175i	$-0.216198\pi$
$599$	17.2077	+	9.03132i	0.703089	+	0.369010i	−0.0749826	+	0.997185i	$0.523890\pi$
$600$	9.40718	+	4.93727i	0.384047	+	0.201563i
$601$	14.1717	−	3.49300i	0.578074	−	0.142482i	0.0605711	−	0.998164i	$-0.480708\pi$
$601$	14.1717	−	3.49300i	0.578074	−	0.142482i	0.517503	+	0.855681i	$0.326862\pi$
$602$	1.84007	−	2.66580i	0.0749957	−	0.108650i
$603$	2.31286	−	0.570069i	0.0941870	−	0.0232150i
$604$	14.8174	+	21.4666i	0.602910	+	0.873465i
$605$	−8.60637	+	70.8799i	−0.349899	+	2.88168i
$606$	−3.88020			−0.157622
$607$	5.26483	−	43.3598i	0.213693	−	1.75992i	−0.352656	−	0.935753i	$-0.614721\pi$
$607$	5.26483	−	43.3598i	0.213693	−	1.75992i	0.566349	−	0.824166i	$-0.308356\pi$
$608$	15.6354	+	41.2271i	0.634098	+	1.67198i
$609$	−6.82158	+	3.58024i	−0.276424	+	0.145079i
$610$	−1.33914	+	11.0288i	−0.0542201	+	0.446542i
$611$	16.7307	−	20.8004i	0.676853	−	0.841493i
$612$	0.954360	+	7.85986i	0.0385777	+	0.317716i
$613$	−2.21519	−	3.20925i	−0.0894706	−	0.129621i	0.775693	−	0.631111i	$-0.217401\pi$
$613$	−2.21519	−	3.20925i	−0.0894706	−	0.129621i	−0.865163	+	0.501490i	$0.832785\pi$
$614$	−0.999137	+	1.44750i	−0.0403219	+	0.0584164i
$615$	−1.78003	+	1.57697i	−0.0717778	+	0.0635896i
$616$	−13.5511	−	35.7313i	−0.545989	−	1.43966i
$617$	8.12585	−	11.7723i	0.327134	−	0.473936i	−0.624563	−	0.780975i	$-0.714723\pi$
$617$	8.12585	−	11.7723i	0.327134	−	0.473936i	0.951697	+	0.307039i	$0.0993382\pi$
$618$	−4.19712	−	2.20282i	−0.168833	−	0.0886103i
$619$	−3.64788	+	30.0430i	−0.146620	+	1.20753i	0.714687	+	0.699444i	$0.246569\pi$
$619$	−3.64788	+	30.0430i	−0.146620	+	1.20753i	−0.861308	+	0.508084i	$0.830354\pi$
$620$	3.70844	+	30.5417i	0.148934	+	1.22659i
$621$	3.12723	−	8.24583i	0.125491	−	0.330894i
$622$	3.46980	−	5.02688i	0.139126	−	0.201559i
$623$	−1.55520	−	1.37779i	−0.0623078	−	0.0551999i
$624$	1.20209	−	1.49449i	0.0481221	−	0.0598276i
$625$	21.8446	−	19.3526i	0.873783	−	0.774104i
$626$	−1.00398	−	8.26853i	−0.0401272	−	0.330477i
$627$	−5.38904	−	44.3827i	−0.215217	−	1.77248i
$628$	8.62557	−	4.52705i	0.344198	−	0.180649i
$629$	33.2236	−	17.4371i	1.32471	−	0.695263i
$630$	5.60289	+	1.38099i	0.223225	+	0.0550199i
$631$	−24.3066	+	21.5337i	−0.967629	+	0.857244i	−0.989793	−	0.142510i	$-0.954483\pi$
$631$	−24.3066	+	21.5337i	−0.967629	+	0.857244i	0.0221646	+	0.999754i	$0.492944\pi$
$632$	−3.26355	−	0.804393i	−0.129817	−	0.0319970i
$633$	3.45351	+	9.10615i	0.137265	+	0.361937i
$634$	10.9947	−	5.77044i	0.436653	−	0.229173i
$635$	−1.43395	+	11.8096i	−0.0569044	+	0.468650i
$636$	4.39998	−	1.08450i	0.174471	−	0.0430032i
$637$	−2.28215	−	3.88682i	−0.0904222	−	0.154001i
$638$	−14.8312	−	3.65555i	−0.587171	−	0.144725i
$639$	1.83436	−	4.83682i	0.0725662	−	0.191341i
$640$	19.5387	+	17.3098i	0.772334	+	0.684228i
$641$	16.9099	−	4.16791i	0.667899	−	0.164622i	0.109235	−	0.994016i	$-0.465160\pi$
$641$	16.9099	−	4.16791i	0.667899	−	0.164622i	0.558665	+	0.829394i	$0.311314\pi$
$642$	−1.84460	−	2.67236i	−0.0728004	−	0.105470i
$643$	−4.76634	−	39.2544i	−0.187966	−	1.54804i	−0.715564	−	0.698547i	$-0.753830\pi$
$643$	−4.76634	−	39.2544i	−0.187966	−	1.54804i	0.527598	−	0.849494i	$-0.323093\pi$
$644$	10.1384	+	26.7328i	0.399509	+	1.05342i
$645$	1.77898	−	4.69078i	0.0700472	−	0.184699i
$646$	20.2712	+	29.3678i	0.797558	+	1.15546i
$647$	19.7391	+	4.86526i	0.776025	+	0.191273i	0.607388	−	0.794405i	$-0.292217\pi$
$647$	19.7391	+	4.86526i	0.776025	+	0.191273i	0.168637	+	0.985678i	$0.446063\pi$
$648$	−0.956829	−	2.52295i	−0.0375878	−	0.0991109i
$649$	−20.3254	+	53.5938i	−0.797844	+	2.10374i
$650$	−5.78614	−	9.85459i	−0.226951	−	0.386529i
$651$	6.47237	+	17.0662i	0.253672	+	0.668879i
$652$	−13.6389	+	12.0830i	−0.534142	+	0.473208i
$653$	−24.6918			−0.966263			−0.483132	−	0.875548i	$-0.660501\pi$
$653$	−24.6918			−0.966263			−0.483132	+	0.875548i	$0.660501\pi$
$654$	0.482030			0.0188489
$655$	5.76410	−	5.10655i	0.225222	−	0.199529i
$656$	−0.374678	+	0.196646i	−0.0146287	+	0.00767774i
$657$	−2.82334			−0.110149
$658$	12.6539	+	6.64129i	0.493301	+	0.258904i
$659$	11.0213	+	9.76404i	0.429330	+	0.380353i	0.849932	−	0.526892i	$-0.176643\pi$
$659$	11.0213	+	9.76404i	0.429330	+	0.380353i	−0.420602	+	0.907245i	$0.638181\pi$
$660$	−13.5610	−	19.6465i	−0.527860	−	0.764738i
$661$	−5.03433	−	4.46002i	−0.195813	−	0.173475i	0.559519	−	0.828817i	$-0.310986\pi$
$661$	−5.03433	−	4.46002i	−0.195813	−	0.173475i	−0.755332	+	0.655343i	$0.772524\pi$
$662$	14.8874	+	21.5682i	0.578617	+	0.838271i
$663$	8.91184	−	19.1418i	0.346107	−	0.743408i
$664$	−3.34482	+	4.84581i	−0.129804	+	0.188054i
$665$	−52.6878	+	12.9864i	−2.04315	+	0.503590i
$666$	−3.86055	+	3.42015i	−0.149593	+	0.132528i
$667$	27.5103	+	6.78069i	1.06520	+	0.262549i
$668$	20.1837	+	17.8812i	0.780931	+	0.691844i
$669$	−1.07497	−	0.952337i	−0.0415606	−	0.0368195i
$670$	2.03278	−	5.35999i	0.0785330	−	0.207075i
$671$	15.4890	−	22.4397i	0.597948	−	0.866277i
$672$	12.3674	+	6.49091i	0.477083	+	0.250392i
$673$	2.64572	−	21.7895i	0.101985	−	0.839923i	−0.848509	−	0.529181i	$-0.822499\pi$
$673$	2.64572	−	21.7895i	0.101985	−	0.839923i	0.950494	−	0.310742i	$-0.100578\pi$
$674$	20.4569	+	5.04217i	0.787969	+	0.194217i
$675$	3.93734			0.151548
$676$	−16.5883	+	5.80926i	−0.638012	+	0.223433i
$677$	2.71546			0.104363			0.0521817	−	0.998638i	$-0.483382\pi$
$677$	2.71546			0.104363			0.0521817	+	0.998638i	$0.483382\pi$
$678$	16.0054	+	3.94499i	0.614685	+	0.151506i
$679$	4.39774	−	36.2186i	0.168770	−	1.38994i
$680$	41.8287	+	21.9534i	1.60406	+	0.841874i
$681$	−9.25478	+	13.4079i	−0.354644	+	0.513790i
$682$	−12.8330	+	33.8378i	−0.491400	+	1.29572i
$683$	−29.2859	−	25.9450i	−1.12059	−	0.992758i	−1.00000		5.61573e-5i	$-0.999982\pi$
$683$	−29.2859	−	25.9450i	−1.12059	−	0.992758i	−0.120592	−	0.992702i	$-0.538479\pi$
$684$	7.66055	+	6.78665i	0.292908	+	0.259494i
$685$	−17.1597	−	4.22947i	−0.655637	−	0.161600i
$686$	11.9199	−	10.5601i	0.455103	−	0.403186i
$687$	−8.13960	+	2.00623i	−0.310545	+	0.0765425i
$688$	0.507090	−	0.734646i	0.0193326	−	0.0280081i
$689$	−11.4909	−	3.74295i	−0.437767	−	0.142595i
$690$	−12.0560	−	17.4661i	−0.458963	−	0.664922i
$691$	20.2078	+	17.9025i	0.768740	+	0.681044i	0.953383	−	0.301761i	$-0.0975746\pi$
$691$	20.2078	+	17.9025i	0.768740	+	0.681044i	−0.184644	+	0.982806i	$0.559113\pi$
$692$	0.970051	+	1.40536i	0.0368758	+	0.0534238i
$693$	−10.6008	−	9.39148i	−0.402691	−	0.356753i
$694$	−14.2162	−	7.46126i	−0.539641	−	0.283225i
$695$	−8.82106			−0.334602
$696$	7.67617	−	4.02876i	0.290964	−	0.152710i
$697$	−3.48688	+	3.08911i	−0.132075	+	0.117008i
$698$	−3.58401			−0.135657
$699$	−16.3809			−0.619582
$700$	−9.55455	+	8.46460i	−0.361128	+	0.319932i
$701$	4.24956	+	11.2052i	0.160504	+	0.423213i	0.991009	−	0.133798i	$-0.0427173\pi$
$701$	4.24956	+	11.2052i	0.160504	+	0.423213i	−0.830505	+	0.557011i	$0.811948\pi$
$702$	−0.559722	+	2.84791i	−0.0211253	+	0.107488i
$703$	17.1986	−	45.3491i	0.648658	−	1.71037i
$704$	7.59201	+	20.0185i	0.286135	+	0.754475i
$705$	21.4902	+	5.29686i	0.809367	+	0.199491i
$706$	−2.15625	−	3.12387i	−0.0811516	−	0.117568i
$707$	4.09869	−	10.8073i	0.154147	−	0.406452i
$708$	−4.65275	−	12.2683i	−0.174861	−	0.461071i
$709$	−0.272394	−	2.24337i	−0.0102300	−	0.0842515i	0.986700	−	0.162554i	$-0.0519731\pi$
$709$	−0.272394	−	2.24337i	−0.0102300	−	0.0842515i	−0.996930	+	0.0783024i	$0.975050\pi$
$710$	−7.07175	−	10.2452i	−0.265398	−	0.384496i
$711$	−1.20949	+	0.298111i	−0.0453592	+	0.0111801i
$712$	1.75003	+	1.55039i	0.0655852	+	0.0581034i
$713$	23.8039	−	62.7657i	0.891463	−	2.35059i
$714$	10.9754	+	2.70520i	0.410745	+	0.101240i
$715$	3.02900	+	63.5907i	0.113278	+	2.37816i
$716$	−17.3270	+	4.27072i	−0.647541	+	0.159604i
$717$	−1.63678	+	13.4801i	−0.0611266	+	0.503423i
$718$	24.0386	−	12.6165i	0.897114	−	0.470842i
$719$	11.1396	+	29.3728i	0.415438	+	1.09542i	0.965525	+	0.260312i	$0.0838254\pi$
$719$	11.1396	+	29.3728i	0.415438	+	1.09542i	−0.550087	+	0.835108i	$0.685405\pi$
$720$	1.54405	+	0.380575i	0.0575435	+	0.0141832i
$721$	10.5689	−	9.36319i	0.393605	−	0.348703i
$722$	29.9359	+	7.37853i	1.11410	+	0.274600i
$723$	15.7367	−	8.25923i	0.585252	−	0.307164i
$724$	3.95365	−	2.07503i	0.146936	−	0.0771180i
$725$	1.52479	+	12.5578i	0.0566292	+	0.466384i
$726$	−2.31740	−	19.0855i	−0.0860067	−	0.708329i
$727$	15.5814	−	13.8039i	0.577881	−	0.511958i	−0.322783	−	0.946473i	$-0.604619\pi$
$727$	15.5814	−	13.8039i	0.577881	−	0.511958i	0.900665	+	0.434515i	$0.143080\pi$
$728$	−11.8120	−	20.1174i	−0.437780	−	0.745600i
$729$	−0.748511	−	0.663123i	−0.0277226	−	0.0245601i
$730$	−3.85967	+	5.59170i	−0.142853	+	0.206958i
$731$	3.48482	−	9.18871i	0.128891	−	0.339857i
$732$	0.752342	+	6.19610i	0.0278074	+	0.229014i
$733$	−1.06661	+	8.78432i	−0.0393961	+	0.324456i	0.959665	+	0.281144i	$0.0907140\pi$
$733$	−1.06661	+	8.78432i	−0.0393961	+	0.324456i	−0.999062	+	0.0433118i	$0.986209\pi$
$734$	−10.4690	−	5.49456i	−0.386418	−	0.202808i
$735$	2.12297	−	3.07566i	0.0783071	−	0.113447i
$736$	−18.2155	−	48.0303i	−0.671432	−	1.77042i
$737$	−10.5309	+	9.32953i	−0.387909	+	0.343658i
$738$	0.363754	−	0.526989i	0.0133900	−	0.0193987i
$739$	−21.1183	−	30.5951i	−0.776849	−	1.12546i	−0.988955	−	0.148214i	$-0.952648\pi$
$739$	−21.1183	−	30.5951i	−0.776849	−	1.12546i	0.212106	−	0.977247i	$-0.431968\pi$
$740$	−3.12154	−	25.7082i	−0.114750	−	0.945053i
$741$	−7.78513	−	26.1593i	−0.285994	−	0.960986i
$742$	0.779853	−	6.42267i	0.0286293	−	0.235783i
$743$	23.9832	−	12.5874i	0.879859	−	0.461786i	0.0366232	−	0.999329i	$-0.488340\pi$
$743$	23.9832	−	12.5874i	0.879859	−	0.461786i	0.843236	+	0.537543i	$0.180648\pi$
$744$	−7.28321	−	19.2042i	−0.267015	−	0.704062i
$745$	1.52584	−	12.5664i	0.0559023	−	0.460397i
$746$	6.27733			0.229829
$747$	−0.263030	+	2.16624i	−0.00962375	+	0.0792587i
$748$	−26.5644	−	38.4852i	−0.971291	−	1.40716i
$749$	9.39166	−	2.31484i	0.343164	−	0.0845823i
$750$	−1.45272	+	2.10463i	−0.0530458	+	0.0768502i
$751$	−25.3490	+	6.24797i	−0.924999	+	0.227992i	−0.672920	−	0.739715i	$-0.734960\pi$
$751$	−25.3490	+	6.24797i	−0.924999	+	0.227992i	−0.252079	+	0.967707i	$0.581114\pi$
$752$	3.48719	+	1.83022i	0.127165	+	0.0667411i
$753$	12.3781	+	6.49653i	0.451083	+	0.236747i
$754$	−9.29990	−	0.682286i	−0.338682	−	0.0248474i
$755$	51.0698	−	26.8035i	1.85862	−	0.975480i
$756$	3.24198			0.117910
$757$	37.1097	+	19.4767i	1.34878	+	0.707892i	0.975535	−	0.219843i	$-0.0705545\pi$
$757$	37.1097	+	19.4767i	1.34878	+	0.707892i	0.373240	+	0.927735i	$0.378247\pi$
$758$	−1.91250	+	5.04286i	−0.0694652	+	0.183165i
$759$	6.27833	+	51.7067i	0.227889	+	1.87683i
$760$	59.2884	−	14.6133i	2.15062	−	0.530079i
$761$	42.3075	−	10.4279i	1.53364	−	0.378009i	0.620026	−	0.784581i	$-0.287122\pi$
$761$	42.3075	−	10.4279i	1.53364	−	0.378009i	0.913619	+	0.406572i	$0.133276\pi$
$762$	−0.386112	−	3.17992i	−0.0139874	−	0.115196i
$763$	−0.509172	+	1.34258i	−0.0184333	+	0.0486045i
$764$	19.7033	+	10.3411i	0.712839	+	0.374127i
$765$	17.5072			0.632975
$766$	18.0026	−	9.44847i	0.650459	−	0.341387i
$767$	−6.74797	+	34.3343i	−0.243655	+	1.23974i
$768$	−12.6431	−	6.63562i	−0.456219	−	0.239442i
$769$	−23.3025	−	12.2301i	−0.840309	−	0.441028i	−0.0110807	−	0.999939i	$-0.503527\pi$
$769$	−23.3025	−	12.2301i	−0.840309	−	0.441028i	−0.829228	+	0.558911i	$0.811219\pi$
$770$	−33.0919	+	8.15643i	−1.19255	+	0.293937i
$771$	0.206614	−	0.299331i	0.00744101	−	0.0107802i
$772$	19.3556	−	4.77073i	0.696624	−	0.171702i
$773$	16.3040	+	23.6205i	0.586415	+	0.849569i	0.998091	−	0.0617612i	$-0.0196717\pi$
$773$	16.3040	+	23.6205i	0.586415	+	0.849569i	−0.411676	+	0.911330i	$0.635056\pi$
$774$	−0.162827	+	1.34100i	−0.00585268	+	0.0482012i
$775$	29.9703			1.07656
$776$	−4.94867	+	40.7560i	−0.177647	+	1.46305i
$777$	−5.44806	−	14.3653i	−0.195448	−	0.515354i
$778$	−16.3392	+	8.57547i	−0.585788	+	0.307445i
$779$	−0.725817	+	5.97764i	−0.0260051	+	0.214171i
$780$	−10.1719	−	10.4361i	−0.364212	−	0.373671i
$781$	3.68272	+	30.3300i	0.131778	+	1.08529i
$782$	−23.6163	−	34.2141i	−0.844516	−	1.22349i
$783$	1.82510	−	2.64411i	0.0652236	−	0.0944927i
$784$	0.497744	−	0.440963i	0.0177766	−	0.0157487i
$785$	−7.63819	−	20.1402i	−0.272619	−	0.718836i
$786$	−1.17791	+	1.70650i	−0.0420146	+	0.0608687i
$787$	−20.6124	−	10.8182i	−0.734751	−	0.385627i	0.0554606	−	0.998461i	$-0.482337\pi$
$787$	−20.6124	−	10.8182i	−0.734751	−	0.385627i	−0.790212	+	0.612834i	$0.790030\pi$
$788$	2.23627	−	18.4174i	0.0796640	−	0.656092i
$789$	−0.404236	−	3.32918i	−0.0143912	−	0.118522i
$790$	−1.06302	+	2.80295i	−0.0378205	+	0.0997245i
$791$	−27.8944	+	40.4121i	−0.991812	+	1.43689i
$792$	11.9288	+	10.5680i	0.423872	+	0.375518i
$793$	7.02540	−	15.0899i	0.249479	−	0.535859i
$794$	−11.8516	+	10.4996i	−0.420597	+	0.372617i
$795$	−1.20782	−	9.94728i	−0.0428369	−	0.352794i
$796$	2.00731	+	16.5317i	0.0711471	+	0.585949i
$797$	4.75170	−	2.49389i	0.168314	−	0.0883379i	−0.378462	−	0.925617i	$-0.623547\pi$
$797$	4.75170	−	2.49389i	0.168314	−	0.0883379i	0.546776	+	0.837279i	$0.315855\pi$
$798$	12.9379	−	6.79034i	0.457997	−	0.240376i
$799$	42.0969	+	10.3759i	1.48928	+	0.367074i
$800$	17.1665	−	15.2082i	0.606927	−	0.537691i
$801$	0.841301	+	0.207362i	0.0297259	+	0.00732678i
$802$	−10.5159	−	27.7281i	−0.371328	−	0.979113i
$803$	14.7652	−	7.74940i	0.521054	−	0.273470i
$804$	0.388199	−	3.19711i	0.0136907	−	0.112753i
$805$	61.3823	−	15.1294i	2.16344	−	0.533240i
$806$	−4.26050	+	21.6778i	−0.150070	+	0.763567i
$807$	3.65482	+	0.900832i	0.128656	+	0.0317108i
$808$	−4.61216	+	12.1613i	−0.162255	+	0.427832i
$809$	17.0051	+	15.0652i	0.597867	+	0.529664i	0.906877	−	0.421394i	$-0.138459\pi$
$809$	17.0051	+	15.0652i	0.597867	+	0.529664i	−0.309010	+	0.951059i	$0.599998\pi$
$810$	−2.33659	+	0.575917i	−0.0820993	+	0.0202357i
$811$	26.2676	+	38.0552i	0.922380	+	1.33630i	0.941689	+	0.336485i	$0.109238\pi$
$811$	26.2676	+	38.0552i	0.922380	+	1.33630i	−0.0193088	+	0.999814i	$0.506147\pi$
$812$	1.25550	+	10.3400i	0.0440594	+	0.362862i
$813$	7.72632	+	20.3726i	0.270974	+	0.714499i
$814$	10.8020	−	28.4826i	0.378611	−	0.998316i
$815$	22.8878	+	33.1588i	0.801726	+	1.16150i
$816$	3.02463	+	0.745504i	0.105883	+	0.0260979i
$817$	−4.50452	−	11.8775i	−0.157593	−	0.415539i
$818$	0.0533585	−	0.140695i	0.00186564	−	0.00491928i
$819$	−7.34092	−	4.56724i	−0.256513	−	0.159592i
$820$	1.14013	+	3.00627i	0.0398150	+	0.104984i
$821$	20.2572	−	17.9463i	0.706981	−	0.626330i	−0.231026	−	0.972948i	$-0.574208\pi$
$821$	20.2572	−	17.9463i	0.706981	−	0.626330i	0.938007	+	0.346617i	$0.112670\pi$
$822$	4.75878			0.165982
$823$	−42.3720			−1.47700			−0.738498	−	0.674256i	$-0.764464\pi$
$823$	−42.3720			−1.47700			−0.738498	+	0.674256i	$0.764464\pi$
$824$	−11.8929	+	10.5362i	−0.414308	+	0.367045i
$825$	−20.5911	+	10.8070i	−0.716890	+	0.376253i
$826$	−18.7327			−0.651795
$827$	−13.0630	−	6.85598i	−0.454244	−	0.238406i	0.222053	−	0.975035i	$-0.428724\pi$
$827$	−13.0630	−	6.85598i	−0.454244	−	0.238406i	−0.676297	+	0.736629i	$0.736417\pi$
$828$	−8.92468	−	7.90658i	−0.310154	−	0.274772i
$829$	23.4023	+	33.9041i	0.812797	+	1.17754i	0.981422	+	0.191860i	$0.0614518\pi$
$829$	23.4023	+	33.9041i	0.812797	+	1.17754i	−0.168625	+	0.985680i	$0.553933\pi$
$830$	3.93072	+	3.48232i	0.136437	+	0.120873i
$831$	13.9030	+	20.1419i	0.482288	+	0.698715i
$832$	6.61766	+	11.2708i	0.229426	+	0.390744i
$833$	4.15867	−	6.02487i	0.144089	−	0.208749i
$834$	2.30619	−	0.568424i	0.0798567	−	0.0196829i
$835$	44.6298	−	39.5386i	1.54448	−	1.36829i
$836$	−58.6901	−	14.4658i	−2.02984	−	0.500310i
$837$	−5.69753	−	5.04757i	−0.196935	−	0.174469i
$838$	8.74949	+	7.75137i	0.302246	+	0.267767i
$839$	−14.3665	+	37.8815i	−0.495988	+	1.30781i	0.420333	+	0.907370i	$0.361913\pi$
$839$	−14.3665	+	37.8815i	−0.495988	+	1.30781i	−0.916321	+	0.400443i	$0.868856\pi$
$840$	10.9881	−	15.9190i	0.379125	−	0.549257i
$841$	−16.5383	−	8.67997i	−0.570286	−	0.299309i
$842$	−3.29688	+	27.1522i	−0.113618	+	0.935728i
$843$	−0.540806	−	0.133297i	−0.0186264	−	0.00459098i
$844$	13.1672			0.453235
$845$	8.33042	+	37.9607i	0.286575	+	1.30589i
$846$	−5.95974			−0.204900
$847$	55.6058	+	13.7056i	1.91064	+	0.470930i
$848$	0.214913	−	1.76997i	0.00738015	−	0.0607810i
$849$	−9.18351	−	4.81988i	−0.315177	−	0.165418i
$850$	10.5438	−	15.2754i	0.361651	−	0.523941i
$851$	−20.0367	+	52.8325i	−0.686850	+	1.81107i
$852$	−5.23501	−	4.63782i	−0.179349	−	0.158889i
$853$	11.4463	+	10.1405i	0.391913	+	0.347204i	0.835952	−	0.548803i	$-0.184916\pi$
$853$	11.4463	+	10.1405i	0.391913	+	0.347204i	−0.444039	+	0.896007i	$0.646455\pi$
$854$	8.65217	+	2.13257i	0.296071	+	0.0729750i
$855$	16.9389	−	15.0065i	0.579297	−	0.513213i
$856$	−10.5682	+	2.60483i	−0.361214	+	0.0890314i
$857$	−29.5337	+	42.7870i	−1.00885	+	1.46158i	−0.125941	+	0.992038i	$0.540195\pi$
$857$	−29.5337	+	42.7870i	−1.00885	+	1.46158i	−0.882912	+	0.469538i	$0.844421\pi$
$858$	−4.88965	−	16.4300i	−0.166930	−	0.560912i
$859$	−26.7450	−	38.7468i	−0.912527	−	1.32202i	−0.946535	−	0.322602i	$-0.895442\pi$
$859$	−26.7450	−	38.7468i	−0.912527	−	1.32202i	0.0340072	−	0.999422i	$-0.489173\pi$
$860$	−5.07695	−	4.49779i	−0.173123	−	0.153373i
$861$	1.08356	+	1.56981i	0.0369277	+	0.0534990i
$862$	−8.72344	−	7.72829i	−0.297121	−	0.263227i
$863$	−1.52464	−	0.800193i	−0.0518994	−	0.0272389i	0.438574	−	0.898695i	$-0.355484\pi$
$863$	−1.52464	−	0.800193i	−0.0518994	−	0.0272389i	−0.490473	+	0.871456i	$0.663176\pi$
$864$	−5.82480			−0.198164
$865$	3.34340	−	1.75475i	0.113679	−	0.0596633i
$866$	−14.9313	+	13.2280i	−0.507386	+	0.449505i
$867$	17.2947			0.587359
$868$	24.6773			0.837603
$869$	5.50700	−	4.87878i	0.186812	−	0.165501i
$870$	−2.74171	−	7.22929i	−0.0929526	−	0.245096i
$871$	−5.38305	+	6.69244i	−0.182398	+	0.226765i
$872$	0.572959	−	1.51077i	0.0194028	−	0.0511611i
$873$	5.39541	+	14.2265i	0.182607	+	0.481495i
$874$	−52.1766	−	12.8604i	−1.76490	−	0.435008i
$875$	−4.32741	−	6.26933i	−0.146293	−	0.211942i
$876$	−1.35359	+	3.56913i	−0.0457337	+	0.120590i
$877$	18.5285	+	48.8557i	0.625663	+	1.64974i	0.753111	+	0.657894i	$0.228552\pi$
$877$	18.5285	+	48.8557i	0.625663	+	1.64974i	−0.127447	+	0.991845i	$0.540678\pi$
$878$	2.64646	+	21.7955i	0.0893136	+	0.735563i
$879$	−17.0058	−	24.6372i	−0.573593	−	0.830993i
$880$	−9.11953	+	2.24776i	−0.307419	+	0.0757720i
$881$	4.06011	+	3.59695i	0.136789	+	0.121184i	0.728743	−	0.684787i	$-0.240105\pi$
$881$	4.06011	+	3.59695i	0.136789	+	0.121184i	−0.591954	+	0.805972i	$0.701643\pi$
$882$	−0.356839	+	0.940907i	−0.0120154	+	0.0316820i
$883$	19.0628	+	4.69857i	0.641516	+	0.158119i	0.546637	−	0.837369i	$-0.315908\pi$
$883$	19.0628	+	4.69857i	0.641516	+	0.158119i	0.0948783	+	0.995489i	$0.469754\pi$
$884$	−19.9256	−	20.4431i	−0.670169	−	0.687574i
$885$	−28.1698	+	6.94322i	−0.946916	+	0.233394i
$886$	−0.924364	+	7.61283i	−0.0310546	+	0.255758i
$887$	−49.8628	+	26.1700i	−1.67423	+	0.878704i	−0.685664	+	0.727918i	$0.740488\pi$
$887$	−49.8628	+	26.1700i	−1.67423	+	0.878704i	−0.988566	+	0.150786i	$0.951820\pi$
$888$	6.13057	+	16.1650i	0.205729	+	0.542462i
$889$	9.26474	+	2.28355i	0.310729	+	0.0765879i
$890$	1.56079	−	1.38274i	0.0523179	−	0.0463496i
$891$	5.73460	+	1.41345i	0.192116	+	0.0473524i
$892$	−1.71927	+	0.902340i	−0.0575653	+	0.0302126i
$893$	49.6241	−	26.0447i	1.66061	−	0.871553i
$894$	0.410855	+	3.38369i	0.0137410	+	0.113168i
$895$	4.75636	+	39.1721i	0.158987	+	1.30938i
$896$	15.6719	−	13.8841i	0.523561	−	0.463835i
$897$	9.06982	+	30.4761i	0.302833	+	1.01757i
$898$	−12.8083	−	11.3471i	−0.427417	−	0.378659i
$899$	13.8923	−	20.1265i	0.463334	−	0.671255i
$900$	1.88767	−	4.97738i	0.0629224	−	0.165913i
$901$	−2.36598	−	19.4856i	−0.0788222	−	0.649159i
$902$	−0.455868	+	3.75441i	−0.0151787	+	0.125008i
$903$	−3.56303	−	1.87002i	−0.118570	−	0.0622304i
$904$	31.3890	−	45.4748i	1.04398	−	1.51247i
$905$	−3.50106	−	9.23155i	−0.116379	−	0.306867i
$906$	−11.6245	+	10.2985i	−0.386200	+	0.342143i
$907$	−23.9940	+	34.7614i	−0.796709	+	1.15423i	0.188364	+	0.982099i	$0.439681\pi$
$907$	−23.9940	+	34.7614i	−0.796709	+	1.15423i	−0.985074	+	0.172133i	$0.944934\pi$
$908$	12.5125	+	18.1275i	0.415243	+	0.601583i
$909$	0.581017	+	4.78511i	0.0192711	+	0.158712i
$910$	−19.0810	+	8.29519i	−0.632528	+	0.274983i
$911$	0.316387	−	2.60568i	0.0104824	−	0.0863300i	−0.986529	−	0.163588i	$-0.947693\pi$
$911$	0.316387	−	2.60568i	0.0104824	−	0.0863300i	0.997011	+	0.0772577i	$0.0246164\pi$
$912$	3.56545	−	1.87129i	0.118064	−	0.0619647i
$913$	−4.57025	−	12.0508i	−0.151253	−	0.398822i
$914$	0.619965	−	5.10587i	0.0205066	−	0.168887i
$915$	13.8013			0.456258
$916$	−1.36618	+	11.2515i	−0.0451399	+	0.371761i
$917$	−3.50879	−	5.08336i	−0.115871	−	0.167867i
$918$	−4.57711	+	1.12816i	−0.151067	+	0.0372347i
$919$	−27.7175	+	40.1557i	−0.914316	+	1.32462i	0.0313606	+	0.999508i	$0.490016\pi$
$919$	−27.7175	+	40.1557i	−0.914316	+	1.32462i	−0.945677	+	0.325108i	$0.894599\pi$
$920$	−69.0720	+	17.0247i	−2.27724	+	0.561289i
$921$	1.93468	+	1.01540i	0.0637500	+	0.0334586i
$922$	−10.6621	−	5.59590i	−0.351137	−	0.184291i
$923$	5.32015	+	17.8766i	0.175115	+	0.588414i
$924$	−16.9546	+	8.89844i	−0.557764	+	0.292737i
$925$	−25.2272			−0.829466
$926$	27.5739	+	14.4719i	0.906134	+	0.475576i
$927$	−2.08807	+	5.50578i	−0.0685811	+	0.180833i
$928$	−2.25573	−	18.5776i	−0.0740481	−	0.609841i
$929$	−16.6870	+	4.11297i	−0.547481	+	0.134942i	−0.503348	−	0.864084i	$-0.667899\pi$
$929$	−16.6870	+	4.11297i	−0.547481	+	0.134942i	−0.0441331	+	0.999026i	$0.514053\pi$
$930$	−17.7857	+	4.38377i	−0.583215	+	0.143750i
$931$	−1.14063	−	9.39393i	−0.0373826	−	0.307874i
$932$	−7.85347	+	20.7079i	−0.257249	+	0.678310i
$933$	−6.71876	−	3.52628i	−0.219962	−	0.115445i
$934$	21.8153			0.713818
$935$	−91.5576	+	48.0531i	−2.99425	+	1.57151i
$936$	8.26057	+	5.13941i	0.270005	+	0.167987i
$937$	−17.7564	−	9.31929i	−0.580077	−	0.304448i	0.149046	−	0.988830i	$-0.452380\pi$
$937$	−17.7564	−	9.31929i	−0.580077	−	0.304448i	−0.729123	+	0.684382i	$0.760072\pi$
$938$	−4.07135	−	2.13681i	−0.132934	−	0.0697693i
$939$	−10.0465	+	2.47624i	−0.327855	+	0.0808091i
$940$	16.9990	−	24.6274i	0.554447	−	0.803256i
$941$	5.58854	−	1.37745i	0.182181	−	0.0449037i	−0.147170	−	0.989111i	$-0.547016\pi$
$941$	5.58854	−	1.37745i	0.182181	−	0.0449037i	0.329351	+	0.944208i	$0.393170\pi$
$942$	3.29476	+	4.77329i	0.107349	+	0.155522i
$943$	0.845590	−	6.96406i	0.0275362	−	0.226781i
$944$	−5.16239			−0.168022
$945$	0.864079	−	7.11633i	0.0281085	−	0.231494i
$946$	−2.82918	−	7.45994i	−0.0919846	−	0.242544i
$947$	2.54417	−	1.33528i	0.0826745	−	0.0433909i	−0.422879	−	0.906186i	$-0.638981\pi$
$947$	2.54417	−	1.33528i	0.0826745	−	0.0433909i	0.505554	+	0.862795i	$0.331288\pi$
$948$	−0.203005	+	1.67189i	−0.00659329	+	0.0543006i
$949$	8.09312	−	6.17479i	0.262714	−	0.200442i
$950$	−2.89194	−	23.8173i	−0.0938269	−	0.772734i
$951$	−8.76249	−	12.6947i	−0.284143	−	0.411653i
$952$	21.5244	−	31.1835i	0.697611	−	1.01066i
$953$	−14.0274	+	12.4272i	−0.454392	+	0.402556i	−0.859034	−	0.511919i	$-0.828935\pi$
$953$	−14.0274	+	12.4272i	−0.454392	+	0.402556i	0.404641	+	0.914475i	$0.367396\pi$
$954$	0.956770	+	2.52280i	0.0309766	+	0.0816786i
$955$	27.9508	−	40.4937i	0.904465	−	1.31034i
$956$	16.2561	+	8.53187i	0.525761	+	0.275941i
$957$	−2.28727	+	18.8373i	−0.0739368	+	0.608924i
$958$	−1.12720	−	9.28329i	−0.0364180	−	0.299929i
$959$	−5.02674	+	13.2544i	−0.162322	+	0.428007i
$960$	−6.15608	+	8.91863i	−0.198687	+	0.287847i
$961$	−20.1647	−	17.8643i	−0.650473	−	0.576269i
$962$	3.58624	−	18.2471i	0.115625	−	0.588309i
$963$	−3.01937	+	2.67493i	−0.0972980	+	0.0861985i
$964$	−2.89630	−	23.8532i	−0.0932836	−	0.768260i
$965$	−5.31322	−	43.7583i	−0.171039	−	1.40863i
$966$	−15.0729	+	7.91088i	−0.484963	+	0.254528i
$967$	31.4680	−	16.5157i	1.01194	−	0.531109i	0.124595	−	0.992208i	$-0.460237\pi$
$967$	31.4680	−	16.5157i	1.01194	−	0.531109i	0.887349	+	0.461099i	$0.152545\pi$
$968$	−62.5720	−	15.4226i	−2.01114	−	0.495701i
$969$	33.1813	−	29.3961i	1.06594	−	0.944339i
$970$	35.5518	+	8.76273i	1.14150	+	0.281354i
$971$	4.04460	+	10.6647i	0.129797	+	0.342248i	0.984122	−	0.177492i	$-0.0567983\pi$
$971$	4.04460	+	10.6647i	0.129797	+	0.342248i	−0.854325	+	0.519739i	$0.826029\pi$
$972$	−1.19714	+	0.628310i	−0.0383984	+	0.0201530i
$973$	−0.852837	+	7.02375i	−0.0273407	+	0.225171i
$974$	−8.28337	+	2.04167i	−0.265416	+	0.0654192i
$975$	−11.2864	+	8.61115i	−0.361453	+	0.275777i
$976$	2.38438	+	0.587697i	0.0763222	+	0.0188117i
$977$	10.2602	−	27.0539i	0.328253	−	0.865531i	−0.664710	−	0.747102i	$-0.731445\pi$
$977$	10.2602	−	27.0539i	0.328253	−	0.865531i	0.992962	−	0.118430i	$-0.0377860\pi$
$978$	−8.12055	−	7.19418i	−0.259667	−	0.230045i
$979$	−4.96891	+	1.22473i	−0.158807	+	0.0391424i
$980$	−2.87028	−	4.15832i	−0.0916877	−	0.132833i
$981$	−0.0721786	−	0.594444i	−0.00230448	−	0.0189791i
$982$	−4.64474	−	12.2472i	−0.148220	−	0.390823i
$983$	18.5200	−	48.8333i	0.590698	−	1.55754i	−0.222117	−	0.975020i	$-0.571297\pi$
$983$	18.5200	−	48.8333i	0.590698	−	1.55754i	0.812815	−	0.582522i	$-0.197934\pi$
$984$	−1.21931	−	1.76647i	−0.0388701	−	0.0563131i
$985$	−39.8312	−	9.81752i	−1.26913	−	0.312812i
$986$	−5.37070	−	14.1614i	−0.171038	−	0.450990i
$987$	6.29532	−	16.5994i	0.200382	−	0.528365i
$988$	−36.8017	−	2.69995i	−1.17082	−	0.0858968i
$989$	5.24785	+	13.8374i	0.166872	+	0.440005i
$990$	10.6389	−	9.42524i	0.338126	−	0.299554i
$991$	−48.8250			−1.55098			−0.775488	−	0.631362i	$-0.782496\pi$
$991$	−48.8250			−1.55098			−0.775488	+	0.631362i	$0.782496\pi$
$992$	−44.3373			−1.40771
$993$	24.3689	−	21.5889i	0.773323	−	0.685104i
$994$	−8.84143	+	4.64034i	−0.280433	+	0.147183i
$995$	36.8230			1.16737
$996$	2.61235	+	1.37107i	0.0827756	+	0.0434440i
$997$	−22.3733	−	19.8211i	−0.708571	−	0.627739i	0.229853	−	0.973225i	$-0.426175\pi$
$997$	−22.3733	−	19.8211i	−0.708571	−	0.627739i	−0.938424	+	0.345486i	$0.887714\pi$
$998$	−9.08197	−	13.1575i	−0.287485	−	0.416494i
$999$	4.79584	+	4.24874i	0.151734	+	0.134424i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	507.2.m.b.40.11	✓	204
169.131	even	13	inner	507.2.m.b.469.11	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
507.2.m.b.40.11	✓	204	1.1	even	1	trivial
507.2.m.b.469.11	yes	204	169.131	even	13	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.m (of order \(13\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.781588 + 0.192644i) q^{2} +(0.120537 - 0.992709i) q^{3} +(-1.19714 - 0.628310i) q^{4} +(-1.69825 + 2.46034i) q^{5} +(0.285450 - 0.752669i) q^{6} +(1.79485 + 1.59010i) q^{7} +(-2.01970 - 1.78930i) q^{8} +(-0.970942 - 0.239316i) q^{9} +O(q^{10})\)	\(q+(0.781588 + 0.192644i) q^{2} +(0.120537 - 0.992709i) q^{3} +(-1.19714 - 0.628310i) q^{4} +(-1.69825 + 2.46034i) q^{5} +(0.285450 - 0.752669i) q^{6} +(1.79485 + 1.59010i) q^{7} +(-2.01970 - 1.78930i) q^{8} +(-0.970942 - 0.239316i) q^{9} +(-1.80130 + 1.59582i) q^{10} +(5.73460 - 1.41345i) q^{11} +(-0.768028 + 1.11268i) q^{12} +(3.30660 - 1.43750i) q^{13} +(1.09651 + 1.58857i) q^{14} +(2.23770 + 1.98243i) q^{15} +(0.302178 + 0.437781i) q^{16} +(4.38340 + 3.88336i) q^{17} +(-0.712774 - 0.374093i) q^{18} +7.56977 q^{19} +(3.57891 - 1.87836i) q^{20} +(1.79485 - 1.59010i) q^{21} +4.75439 q^{22} -8.81892 q^{23} +(-2.01970 + 1.78930i) q^{24} +(-1.39620 - 3.68147i) q^{25} +(2.86132 - 0.486535i) q^{26} +(-0.354605 + 0.935016i) q^{27} +(-1.14962 - 3.03130i) q^{28} +(-3.11947 - 0.768880i) q^{29} +(1.36706 + 1.98052i) q^{30} +(-2.69919 + 7.11717i) q^{31} +(2.06550 + 5.44628i) q^{32} +(-0.711916 - 5.86316i) q^{33} +(2.67791 + 3.87962i) q^{34} +(-6.96029 + 1.71556i) q^{35} +(1.01199 + 0.896547i) q^{36} +(2.27202 - 5.99081i) q^{37} +(5.91644 + 1.45827i) q^{38} +(-1.02845 - 3.45576i) q^{39} +(7.83226 - 1.93048i) q^{40} +(-0.0958837 + 0.789673i) q^{41} +(1.70916 - 0.897035i) q^{42} +(-0.595068 - 1.56906i) q^{43} +(-7.75322 - 1.91100i) q^{44} +(2.23770 - 1.98243i) q^{45} +(-6.89276 - 1.69891i) q^{46} +(6.55556 - 3.44062i) q^{47} +(0.471012 - 0.247206i) q^{48} +(-0.150682 - 1.24098i) q^{49} +(-0.382038 - 3.14637i) q^{50} +(4.38340 - 3.88336i) q^{51} +(-4.86167 - 0.356675i) q^{52} +(-2.50886 - 2.22266i) q^{53} +(-0.457280 + 0.662485i) q^{54} +(-6.26121 + 16.5095i) q^{55} +(-0.779901 - 6.42306i) q^{56} +(0.912434 - 7.51457i) q^{57} +(-2.29002 - 1.20190i) q^{58} +(-5.51294 + 7.98688i) q^{59} +(-1.43327 - 3.77922i) q^{60} +(3.45553 - 3.06134i) q^{61} +(-3.48073 + 5.04271i) q^{62} +(-1.36216 - 1.97343i) q^{63} +(0.436940 + 3.59853i) q^{64} +(-2.07870 + 10.5766i) q^{65} +(0.573078 - 4.71972i) q^{66} +(-2.10923 + 1.10701i) q^{67} +(-2.80762 - 7.40307i) q^{68} +(-1.06300 + 8.75462i) q^{69} -5.77058 q^{70} +(-0.623533 + 5.13526i) q^{71} +(1.53281 + 2.22066i) q^{72} +(2.74130 - 0.675671i) q^{73} +(2.92988 - 4.24466i) q^{74} +(-3.82293 + 0.942267i) q^{75} +(-9.06210 - 4.75616i) q^{76} +(12.5403 + 6.58164i) q^{77} +(-0.138093 - 2.89911i) q^{78} +(1.10300 - 0.578898i) q^{79} -1.59026 q^{80} +(0.885456 + 0.464723i) q^{81} +(-0.227067 + 0.598728i) q^{82} +(-0.263030 - 2.16624i) q^{83} +(-3.14777 + 0.775856i) q^{84} +(-16.9985 + 4.18976i) q^{85} +(-0.162827 - 1.34100i) q^{86} +(-1.13928 + 3.00405i) q^{87} +(-14.1113 - 7.40617i) q^{88} -0.866479 q^{89} +(2.13086 - 1.11836i) q^{90} +(8.22062 + 2.67773i) q^{91} +(10.5575 + 5.54101i) q^{92} +(6.73993 + 3.53739i) q^{93} +(5.78657 - 1.42626i) q^{94} +(-12.8554 + 18.6242i) q^{95} +(5.65554 - 1.39397i) q^{96} +(-8.64326 - 12.5219i) q^{97} +(0.121296 - 0.998963i) q^{98} -5.90622 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9}+O(q^{10}) \) 204 * q - q^2 - 17 * q^3 - 21 * q^4 - 6 * q^5 - q^6 - 8 * q^7 - 9 * q^8 - 17 * q^9	\( 204 q - q^{2} - 17 q^{3} - 21 q^{4} - 6 q^{5} - q^{6} - 8 q^{7} - 9 q^{8} - 17 q^{9} - 6 q^{10} - 8 q^{11} - 21 q^{12} + 54 q^{13} - 30 q^{14} - 6 q^{15} - 45 q^{16} - 18 q^{17} - q^{18} - 20 q^{19} - 58 q^{20} - 8 q^{21} + 44 q^{22} + 40 q^{23} - 9 q^{24} + 7 q^{25} - 2 q^{26} - 17 q^{27} - 40 q^{28} + 11 q^{29} - 6 q^{30} + 2 q^{31} + 61 q^{32} + 5 q^{33} - q^{34} + 11 q^{35} - 21 q^{36} - 34 q^{37} + 17 q^{38} - 11 q^{39} - 31 q^{40} - 58 q^{41} + 35 q^{42} + 32 q^{43} - 41 q^{44} - 6 q^{45} + 76 q^{46} - 36 q^{47} - 45 q^{48} + 9 q^{49} - 35 q^{50} - 18 q^{51} - 24 q^{52} + 66 q^{53} - q^{54} + 7 q^{55} - 114 q^{56} - 7 q^{57} - 60 q^{58} + 40 q^{59} + 59 q^{60} - 54 q^{61} - 31 q^{62} - 8 q^{63} + 75 q^{64} - 26 q^{65} + 18 q^{66} + 2 q^{67} + 26 q^{68} - 12 q^{69} - 56 q^{70} - 37 q^{71} - 9 q^{72} + 70 q^{73} + 174 q^{74} - 45 q^{75} - 26 q^{76} + 24 q^{78} - 66 q^{79} + 126 q^{80} - 17 q^{81} - 17 q^{82} - 2 q^{83} - 40 q^{84} + 54 q^{85} + 61 q^{86} + 24 q^{87} + 94 q^{88} - 114 q^{89} - 6 q^{90} + 104 q^{91} - 78 q^{92} + 67 q^{93} - 63 q^{94} - 70 q^{95} - 4 q^{96} + 36 q^{97} - 65 q^{98} + 18 q^{99}+O(q^{100}) \) 204 * q - q^2 - 17 * q^3 - 21 * q^4 - 6 * q^5 - q^6 - 8 * q^7 - 9 * q^8 - 17 * q^9 - 6 * q^10 - 8 * q^11 - 21 * q^12 + 54 * q^13 - 30 * q^14 - 6 * q^15 - 45 * q^16 - 18 * q^17 - q^18 - 20 * q^19 - 58 * q^20 - 8 * q^21 + 44 * q^22 + 40 * q^23 - 9 * q^24 + 7 * q^25 - 2 * q^26 - 17 * q^27 - 40 * q^28 + 11 * q^29 - 6 * q^30 + 2 * q^31 + 61 * q^32 + 5 * q^33 - q^34 + 11 * q^35 - 21 * q^36 - 34 * q^37 + 17 * q^38 - 11 * q^39 - 31 * q^40 - 58 * q^41 + 35 * q^42 + 32 * q^43 - 41 * q^44 - 6 * q^45 + 76 * q^46 - 36 * q^47 - 45 * q^48 + 9 * q^49 - 35 * q^50 - 18 * q^51 - 24 * q^52 + 66 * q^53 - q^54 + 7 * q^55 - 114 * q^56 - 7 * q^57 - 60 * q^58 + 40 * q^59 + 59 * q^60 - 54 * q^61 - 31 * q^62 - 8 * q^63 + 75 * q^64 - 26 * q^65 + 18 * q^66 + 2 * q^67 + 26 * q^68 - 12 * q^69 - 56 * q^70 - 37 * q^71 - 9 * q^72 + 70 * q^73 + 174 * q^74 - 45 * q^75 - 26 * q^76 + 24 * q^78 - 66 * q^79 + 126 * q^80 - 17 * q^81 - 17 * q^82 - 2 * q^83 - 40 * q^84 + 54 * q^85 + 61 * q^86 + 24 * q^87 + 94 * q^88 - 114 * q^89 - 6 * q^90 + 104 * q^91 - 78 * q^92 + 67 * q^93 - 63 * q^94 - 70 * q^95 - 4 * q^96 + 36 * q^97 - 65 * q^98 + 18 * q^99

Introduction

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