LMFDB - Embedded newform 670.2.k.c.131.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [670,2,Mod(81,670)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(670, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 8]))

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

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

chi := DirichletCharacter("670.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 670 = 2 \cdot 5 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	670.k (of order $11$, degree $10$, 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:	$5.34997693543$
Analytic rank:	$0$
Dimension:	$50$
Relative dimension:	$5$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			131.5
Character	$\chi$	$=$	670.131
Dual form			670.2.k.c.491.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(0.251083 - 1.74632i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.732908 - 1.60485i) q^{6} +(-0.408871 - 0.120055i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.108119 - 0.0317466i) q^{9} +O(q^{10})$	\(q+(0.959493 + 0.281733i) q^{2} +(0.251083 - 1.74632i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.732908 - 1.60485i) q^{6} +(-0.408871 - 0.120055i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.108119 - 0.0317466i) q^{9} +(0.142315 + 0.989821i) q^{10} +(-1.34854 - 2.95289i) q^{11} +(1.15536 - 1.33335i) q^{12} +(0.852368 - 0.983686i) q^{13} +(-0.358485 - 0.230384i) q^{14} +(1.69281 - 0.497055i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.01564 - 3.22335i) q^{17} +(-0.0947955 - 0.0609214i) q^{18} +(6.42065 - 1.88527i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(-0.312316 + 0.683876i) q^{21} +(-0.461989 - 3.21321i) q^{22} +(-0.740810 + 5.15244i) q^{23} +(1.48421 - 0.953842i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(1.09498 - 0.703700i) q^{26} +(2.11614 - 4.63370i) q^{27} +(-0.279057 - 0.322049i) q^{28} -6.66703 q^{29} +1.76428 q^{30} +(1.91425 + 2.20916i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-5.49530 + 1.61356i) q^{33} +(5.72059 - 1.67972i) q^{34} +(-0.0606449 - 0.421795i) q^{35} +(-0.0737921 - 0.0851606i) q^{36} -7.38203 q^{37} +6.69171 q^{38} +(-1.50382 - 1.73550i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-5.28798 + 3.39838i) q^{41} +(-0.492335 + 0.568185i) q^{42} +(2.52367 - 1.62186i) q^{43} +(0.461989 - 3.21321i) q^{44} +(-0.0160366 - 0.111537i) q^{45} +(-2.16241 + 4.73502i) q^{46} +(0.330613 - 2.29946i) q^{47} +(1.69281 - 0.497055i) q^{48} +(-5.73601 - 3.68631i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(-4.36967 - 9.56825i) q^{51} +(1.24888 - 0.366704i) q^{52} +(9.48761 + 6.09732i) q^{53} +(3.33588 - 3.84981i) q^{54} +(2.12584 - 2.45335i) q^{55} +(-0.177022 - 0.387623i) q^{56} +(-1.68018 - 11.6859i) q^{57} +(-6.39697 - 1.87832i) q^{58} +(3.93880 + 4.54562i) q^{59} +(1.69281 + 0.497055i) q^{60} +(-4.13756 + 9.06000i) q^{61} +(1.21432 + 2.65898i) q^{62} +(0.0403954 + 0.0259605i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(1.24888 + 0.366704i) q^{65} -5.72729 q^{66} +(7.43266 + 3.42863i) q^{67} +5.96210 q^{68} +(8.81182 + 2.58738i) q^{69} +(0.0606449 - 0.421795i) q^{70} +(-12.0645 - 7.75341i) q^{71} +(-0.0468105 - 0.102501i) q^{72} +(-2.96332 + 6.48876i) q^{73} +(-7.08301 - 2.07976i) q^{74} +(1.15536 + 1.33335i) q^{75} +(6.42065 + 1.88527i) q^{76} +(0.196868 + 1.36925i) q^{77} +(-0.953955 - 2.08887i) q^{78} +(-3.75313 + 4.33134i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(-7.84499 - 5.04167i) q^{81} +(-6.03121 + 1.77092i) q^{82} +(-4.13070 - 9.04496i) q^{83} +(-0.632468 + 0.406462i) q^{84} +(5.01564 + 3.22335i) q^{85} +(2.87837 - 0.845167i) q^{86} +(-1.67398 + 11.6428i) q^{87} +(1.34854 - 2.95289i) q^{88} +(2.26626 + 15.7622i) q^{89} +(0.0160366 - 0.111537i) q^{90} +(-0.466605 + 0.299869i) q^{91} +(-3.40883 + 3.93400i) q^{92} +(4.33854 - 2.78821i) q^{93} +(0.965055 - 2.11318i) q^{94} +(4.38214 + 5.05726i) q^{95} +1.76428 q^{96} +0.475472 q^{97} +(-4.46511 - 5.15301i) q^{98} +(0.0520586 + 0.362076i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9}+O(q^{10}) $ 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9} + 5 q^{10} - 12 q^{11} - 2 q^{12} + 24 q^{13} + 23 q^{14} - 2 q^{15} - 5 q^{16} + 31 q^{17} + q^{18} + 4 q^{19} - 5 q^{20} + 12 q^{21} + q^{22} + 27 q^{23} - 9 q^{24} - 5 q^{25} - 2 q^{26} - 14 q^{27} + 10 q^{28} - 36 q^{29} + 2 q^{30} - 13 q^{31} + 5 q^{32} - 42 q^{33} + 2 q^{34} + 21 q^{35} - q^{36} - 50 q^{37} - 26 q^{38} - 31 q^{39} + 5 q^{40} - 10 q^{41} + 21 q^{42} + 16 q^{43} - q^{44} - q^{45} + 17 q^{46} - 13 q^{47} - 2 q^{48} - 40 q^{49} + 5 q^{50} - 19 q^{51} - 20 q^{52} - 5 q^{53} + 47 q^{54} + 10 q^{55} + 12 q^{56} - 90 q^{57} - 8 q^{58} - 20 q^{59} - 2 q^{60} + 12 q^{61} + 13 q^{62} - 15 q^{63} - 5 q^{64} - 20 q^{65} + 20 q^{66} - 21 q^{67} - 24 q^{68} + 77 q^{69} - 21 q^{70} + 24 q^{71} + 12 q^{72} - 68 q^{73} - 16 q^{74} - 2 q^{75} + 4 q^{76} + 7 q^{77} + 53 q^{78} - 26 q^{79} - 5 q^{80} - 21 q^{81} + 21 q^{82} - 10 q^{83} + 12 q^{84} + 31 q^{85} - 27 q^{86} + 61 q^{87} + 12 q^{88} + 51 q^{89} + q^{90} - 10 q^{91} - 6 q^{92} - 38 q^{93} - 9 q^{94} + 15 q^{95} + 2 q^{96} + 72 q^{97} - 37 q^{98} - 32 q^{99}+O(q^{100}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9 + 5 * q^10 - 12 * q^11 - 2 * q^12 + 24 * q^13 + 23 * q^14 - 2 * q^15 - 5 * q^16 + 31 * q^17 + q^18 + 4 * q^19 - 5 * q^20 + 12 * q^21 + q^22 + 27 * q^23 - 9 * q^24 - 5 * q^25 - 2 * q^26 - 14 * q^27 + 10 * q^28 - 36 * q^29 + 2 * q^30 - 13 * q^31 + 5 * q^32 - 42 * q^33 + 2 * q^34 + 21 * q^35 - q^36 - 50 * q^37 - 26 * q^38 - 31 * q^39 + 5 * q^40 - 10 * q^41 + 21 * q^42 + 16 * q^43 - q^44 - q^45 + 17 * q^46 - 13 * q^47 - 2 * q^48 - 40 * q^49 + 5 * q^50 - 19 * q^51 - 20 * q^52 - 5 * q^53 + 47 * q^54 + 10 * q^55 + 12 * q^56 - 90 * q^57 - 8 * q^58 - 20 * q^59 - 2 * q^60 + 12 * q^61 + 13 * q^62 - 15 * q^63 - 5 * q^64 - 20 * q^65 + 20 * q^66 - 21 * q^67 - 24 * q^68 + 77 * q^69 - 21 * q^70 + 24 * q^71 + 12 * q^72 - 68 * q^73 - 16 * q^74 - 2 * q^75 + 4 * q^76 + 7 * q^77 + 53 * q^78 - 26 * q^79 - 5 * q^80 - 21 * q^81 + 21 * q^82 - 10 * q^83 + 12 * q^84 + 31 * q^85 - 27 * q^86 + 61 * q^87 + 12 * q^88 + 51 * q^89 + q^90 - 10 * q^91 - 6 * q^92 - 38 * q^93 - 9 * q^94 + 15 * q^95 + 2 * q^96 + 72 * q^97 - 37 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/670\mathbb{Z}\right)^\times$.

$n$	$471$	$537$
$\chi(n)$	$e\left(\frac{1}{11}\right)$	$1$

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 $

$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$3$	0.251083	−	1.74632i	0.144963	−	1.00824i	−0.779346	−	0.626594i	$-0.784448\pi$
$3$	0.251083	−	1.74632i	0.144963	−	1.00824i	0.924309	−	0.381645i	$-0.124642\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$6$	0.732908	−	1.60485i	0.299209	−	0.655175i
$7$	−0.408871	−	0.120055i	−0.154539	−	0.0453766i	0.203548	−	0.979065i	$-0.434753\pi$
$7$	−0.408871	−	0.120055i	−0.154539	−	0.0453766i	−0.358087	+	0.933688i	$0.616571\pi$
$8$	0.654861	+	0.755750i	0.231528	+	0.267198i
$9$	−0.108119	−	0.0317466i	−0.0360397	−	0.0105822i
$10$	0.142315	+	0.989821i	0.0450039	+	0.313009i
$11$	−1.34854	−	2.95289i	−0.406600	−	0.890331i	−0.996558	−	0.0828965i	$-0.973583\pi$
$11$	−1.34854	−	2.95289i	−0.406600	−	0.890331i	0.589958	−	0.807434i	$-0.299144\pi$
$12$	1.15536	−	1.33335i	0.333523	−	0.384906i
$13$	0.852368	−	0.983686i	0.236404	−	0.272825i	−0.625134	−	0.780517i	$-0.714956\pi$
$13$	0.852368	−	0.983686i	0.236404	−	0.272825i	0.861539	+	0.507692i	$0.169501\pi$
$14$	−0.358485	−	0.230384i	−0.0958091	−	0.0615728i
$15$	1.69281	−	0.497055i	0.437083	−	0.128339i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	5.01564	−	3.22335i	1.21647	−	0.781778i	0.234741	−	0.972058i	$-0.424576\pi$
$17$	5.01564	−	3.22335i	1.21647	−	0.781778i	0.981730	+	0.190280i	$0.0609394\pi$
$18$	−0.0947955	−	0.0609214i	−0.0223435	−	0.0143593i
$19$	6.42065	−	1.88527i	1.47300	−	0.432511i	0.555926	−	0.831232i	$-0.312364\pi$
$19$	6.42065	−	1.88527i	1.47300	−	0.432511i	0.917073	+	0.398720i	$0.130546\pi$
$20$	−0.142315	+	0.989821i	−0.0318226	+	0.221331i
$21$	−0.312316	+	0.683876i	−0.0681529	+	0.149234i
$22$	−0.461989	−	3.21321i	−0.0984965	−	0.685058i
$23$	−0.740810	+	5.15244i	−0.154469	+	1.07436i	0.754140	+	0.656713i	$0.228054\pi$
$23$	−0.740810	+	5.15244i	−0.154469	+	1.07436i	−0.908610	+	0.417646i	$0.862855\pi$
$24$	1.48421	−	0.953842i	0.302962	−	0.194702i
$25$	−0.654861	+	0.755750i	−0.130972	+	0.151150i
$26$	1.09498	−	0.703700i	0.214743	−	0.138007i
$27$	2.11614	−	4.63370i	0.407251	−	0.891755i
$28$	−0.279057	−	0.322049i	−0.0527368	−	0.0608615i
$29$	−6.66703			−1.23804			−0.619018	−	0.785377i	$-0.712469\pi$
$29$	−6.66703			−1.23804			−0.619018	+	0.785377i	$0.712469\pi$
$30$	1.76428			0.322112
$31$	1.91425	+	2.20916i	0.343809	+	0.396777i	0.901150	−	0.433507i	$-0.142724\pi$
$31$	1.91425	+	2.20916i	0.343809	+	0.396777i	−0.557341	+	0.830284i	$0.688178\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	−5.49530	+	1.61356i	−0.956608	+	0.280886i
$34$	5.72059	−	1.67972i	0.981074	−	0.288069i
$35$	−0.0606449	−	0.421795i	−0.0102509	−	0.0712963i
$36$	−0.0737921	−	0.0851606i	−0.0122987	−	0.0141934i
$37$	−7.38203			−1.21360			−0.606800	−	0.794855i	$-0.707547\pi$
$37$	−7.38203			−1.21360			−0.606800	+	0.794855i	$0.707547\pi$
$38$	6.69171			1.08554
$39$	−1.50382	−	1.73550i	−0.240803	−	0.277902i
$40$	−0.415415	+	0.909632i	−0.0656829	+	0.143825i
$41$	−5.28798	+	3.39838i	−0.825844	+	0.530737i	−0.883955	−	0.467573i	$-0.845129\pi$
$41$	−5.28798	+	3.39838i	−0.825844	+	0.530737i	0.0581110	+	0.998310i	$0.481492\pi$
$42$	−0.492335	+	0.568185i	−0.0759689	+	0.0876728i
$43$	2.52367	−	1.62186i	0.384856	−	0.247332i	−0.333879	−	0.942616i	$-0.608358\pi$
$43$	2.52367	−	1.62186i	0.384856	−	0.247332i	0.718735	+	0.695284i	$0.244721\pi$
$44$	0.461989	−	3.21321i	0.0696475	−	0.484409i
$45$	−0.0160366	−	0.111537i	−0.00239059	−	0.0166269i
$46$	−2.16241	+	4.73502i	−0.318830	+	0.698141i
$47$	0.330613	−	2.29946i	0.0482249	−	0.335411i	−0.951398	−	0.307963i	$-0.900353\pi$
$47$	0.330613	−	2.29946i	0.0482249	−	0.335411i	0.999623	−	0.0274484i	$-0.00873821\pi$
$48$	1.69281	−	0.497055i	0.244337	−	0.0717437i
$49$	−5.73601	−	3.68631i	−0.819430	−	0.526616i
$50$	−0.841254	+	0.540641i	−0.118971	+	0.0764582i
$51$	−4.36967	−	9.56825i	−0.611877	−	1.33982i
$52$	1.24888	−	0.366704i	0.173188	−	0.0508527i
$53$	9.48761	+	6.09732i	1.30322	+	0.837531i	0.993559	−	0.113315i	$-0.0361470\pi$
$53$	9.48761	+	6.09732i	1.30322	+	0.837531i	0.309664	+	0.950846i	$0.399783\pi$
$54$	3.33588	−	3.84981i	0.453956	−	0.523893i
$55$	2.12584	−	2.45335i	0.286648	−	0.330810i
$56$	−0.177022	−	0.387623i	−0.0236555	−	0.0517983i
$57$	−1.68018	−	11.6859i	−0.222545	−	1.54783i
$58$	−6.39697	−	1.87832i	−0.839963	−	0.246635i
$59$	3.93880	+	4.54562i	0.512789	+	0.591790i	0.951811	−	0.306687i	$-0.0992204\pi$
$59$	3.93880	+	4.54562i	0.512789	+	0.591790i	−0.439022	+	0.898476i	$0.644675\pi$
$60$	1.69281	+	0.497055i	0.218541	+	0.0641695i
$61$	−4.13756	+	9.06000i	−0.529760	+	1.16001i	0.435850	+	0.900019i	$0.356448\pi$
$61$	−4.13756	+	9.06000i	−0.529760	+	1.16001i	−0.965610	+	0.259994i	$0.916279\pi$
$62$	1.21432	+	2.65898i	0.154218	+	0.337691i
$63$	0.0403954	+	0.0259605i	0.00508934	+	0.00327072i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	1.24888	+	0.366704i	0.154904	+	0.0454840i
$66$	−5.72729			−0.704981
$67$	7.43266	+	3.42863i	0.908044	+	0.418874i
$67$	7.43266	+	3.42863i	0.908044	+	0.418874i
$68$	5.96210			0.723011
$69$	8.81182	+	2.58738i	1.06082	+	0.311484i
$70$	0.0606449	−	0.421795i	0.00724845	−	0.0504141i
$71$	−12.0645	−	7.75341i	−1.43180	−	0.920161i	−0.999833	−	0.0182702i	$-0.994184\pi$
$71$	−12.0645	−	7.75341i	−1.43180	−	0.920161i	−0.431965	−	0.901890i	$-0.642180\pi$
$72$	−0.0468105	−	0.102501i	−0.00551667	−	0.0120798i
$73$	−2.96332	+	6.48876i	−0.346830	+	0.759452i	0.653167	+	0.757214i	$0.273440\pi$
$73$	−2.96332	+	6.48876i	−0.346830	+	0.759452i	−0.999997	+	0.00223872i	$0.999287\pi$
$74$	−7.08301	−	2.07976i	−0.823383	−	0.241767i
$75$	1.15536	+	1.33335i	0.133409	+	0.153962i
$76$	6.42065	+	1.88527i	0.736499	+	0.216256i
$77$	0.196868	+	1.36925i	0.0224352	+	0.156041i
$78$	−0.953955	−	2.08887i	−0.108014	−	0.236518i
$79$	−3.75313	+	4.33134i	−0.422260	+	0.487314i	−0.926524	−	0.376236i	$-0.877218\pi$
$79$	−3.75313	+	4.33134i	−0.422260	+	0.487314i	0.504264	+	0.863549i	$0.331764\pi$
$80$	−0.654861	+	0.755750i	−0.0732157	+	0.0844954i
$81$	−7.84499	−	5.04167i	−0.871665	−	0.560185i
$82$	−6.03121	+	1.77092i	−0.666036	+	0.195566i
$83$	−4.13070	−	9.04496i	−0.453403	−	0.992814i	−0.988942	−	0.148303i	$-0.952619\pi$
$83$	−4.13070	−	9.04496i	−0.453403	−	0.992814i	0.535539	−	0.844510i	$-0.320108\pi$
$84$	−0.632468	+	0.406462i	−0.0690079	+	0.0443487i
$85$	5.01564	+	3.22335i	0.544022	+	0.349622i
$86$	2.87837	−	0.845167i	0.310383	−	0.0911367i
$87$	−1.67398	+	11.6428i	−0.179469	+	1.24824i
$88$	1.34854	−	2.95289i	0.143755	−	0.314779i
$89$	2.26626	+	15.7622i	0.240223	+	1.67078i	0.651022	+	0.759059i	$0.274341\pi$
$89$	2.26626	+	15.7622i	0.240223	+	1.67078i	−0.410799	+	0.911726i	$0.634750\pi$
$90$	0.0160366	−	0.111537i	0.00169040	−	0.0117570i
$91$	−0.466605	+	0.299869i	−0.0489135	+	0.0314348i
$92$	−3.40883	+	3.93400i	−0.355395	+	0.410148i
$93$	4.33854	−	2.78821i	0.449886	−	0.289124i
$94$	0.965055	−	2.11318i	0.0995378	−	0.217957i
$95$	4.38214	+	5.05726i	0.449598	+	0.518864i
$96$	1.76428			0.180066
$97$	0.475472			0.0482768			0.0241384	−	0.999709i	$-0.492316\pi$
$97$	0.475472			0.0482768			0.0241384	+	0.999709i	$0.492316\pi$
$98$	−4.46511	−	5.15301i	−0.451044	−	0.520533i
$99$	0.0520586	+	0.362076i	0.00523209	+	0.0363900i
$100$	−0.959493	+	0.281733i	−0.0959493	+	0.0281733i
$101$	−16.8245	+	4.94013i	−1.67410	+	0.491561i	−0.974766	−	0.223231i	$-0.928340\pi$
$101$	−16.8245	+	4.94013i	−1.67410	+	0.491561i	−0.699337	+	0.714792i	$0.746522\pi$
$102$	−1.49698	−	10.4117i	−0.148223	−	1.03092i
$103$	−0.721876	−	0.833089i	−0.0711285	−	0.0820867i	0.719070	−	0.694938i	$-0.244568\pi$
$103$	−0.721876	−	0.833089i	−0.0711285	−	0.0820867i	−0.790199	+	0.612851i	$0.790023\pi$
$104$	1.30160			0.127633
$105$	−0.751816			−0.0733697
$106$	7.38548	+	8.52330i	0.717341	+	0.827856i
$107$	2.12018	−	4.64254i	0.204965	−	0.448812i	−0.779034	−	0.626981i	$-0.784290\pi$
$107$	2.12018	−	4.64254i	0.204965	−	0.448812i	0.984000	+	0.178170i	$0.0570176\pi$
$108$	4.28537	−	2.75404i	0.412360	−	0.265008i
$109$	3.42408	−	3.95160i	0.327968	−	0.378495i	−0.567688	−	0.823244i	$-0.692162\pi$
$109$	3.42408	−	3.95160i	0.327968	−	0.378495i	0.895655	+	0.444749i	$0.146707\pi$
$110$	2.73092	−	1.75506i	0.260383	−	0.167338i
$111$	−1.85351	+	12.8914i	−0.175927	+	1.22360i
$112$	−0.0606449	−	0.421795i	−0.00573040	−	0.0398558i
$113$	−4.31784	+	9.45476i	−0.406188	+	0.889429i	0.590417	+	0.807099i	$0.298963\pi$
$113$	−4.31784	+	9.45476i	−0.406188	+	0.889429i	−0.996605	+	0.0823300i	$0.973764\pi$
$114$	1.68018	−	11.6859i	0.157363	−	1.09448i
$115$	−4.99457	+	1.46654i	−0.465746	+	0.136755i
$116$	−5.60866	−	3.60447i	−0.520751	−	0.334666i
$117$	−0.123386	+	0.0792954i	−0.0114070	+	0.00733086i
$118$	2.49861	+	5.47118i	0.230015	+	0.503663i
$119$	−2.43773	+	0.715781i	−0.223466	+	0.0656156i
$120$	1.48421	+	0.953842i	0.135489	+	0.0870734i
$121$	0.302456	−	0.349053i	0.0274960	−	0.0317321i
$122$	−6.52246	+	7.52732i	−0.590515	+	0.681491i
$123$	4.60694	+	10.0878i	0.415394	+	0.909585i
$124$	0.416006	+	2.89338i	0.0373584	+	0.259834i
$125$	−0.959493	−	0.281733i	−0.0858197	−	0.0251989i
$126$	0.0314452	+	0.0362897i	0.00280136	+	0.00323294i
$127$	2.54032	+	0.745904i	0.225417	+	0.0661883i	0.392490	−	0.919756i	$-0.371614\pi$
$127$	2.54032	+	0.745904i	0.225417	+	0.0661883i	−0.167074	+	0.985944i	$0.553432\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	−2.19864	−	4.81436i	−0.193580	−	0.423881i
$130$	1.09498	+	0.703700i	0.0960359	+	0.0617185i
$131$	1.42120	−	9.88464i	0.124170	−	0.863625i	−0.828580	−	0.559871i	$-0.810851\pi$
$131$	1.42120	−	9.88464i	0.124170	−	0.863625i	0.952750	−	0.303754i	$-0.0982401\pi$
$132$	−5.49530	−	1.61356i	−0.478304	−	0.140443i
$133$	−2.85155			−0.247261
$134$	6.16563	+	5.38377i	0.532629	+	0.465087i
$135$	5.09403			0.438425
$136$	5.72059	+	1.67972i	0.490537	+	0.144035i
$137$	0.328927	−	2.28774i	0.0281021	−	0.195455i	−0.970934	−	0.239347i	$-0.923067\pi$
$137$	0.328927	−	2.28774i	0.0281021	−	0.195455i	0.999036	+	0.0438922i	$0.0139758\pi$
$138$	7.72593	+	4.96515i	0.657675	+	0.422662i
$139$	5.20836	+	11.4047i	0.441768	+	0.967336i	0.991270	+	0.131844i	$0.0420899\pi$
$139$	5.20836	+	11.4047i	0.441768	+	0.967336i	−0.549503	+	0.835492i	$0.685183\pi$
$140$	0.177022	−	0.387623i	0.0149611	−	0.0327601i
$141$	−3.93260	−	1.15471i	−0.331184	−	0.0972445i
$142$	−9.39146	−	10.8383i	−0.788114	−	0.909531i
$143$	−4.05417	−	1.19041i	−0.339027	−	0.0995473i
$144$	−0.0160366	−	0.111537i	−0.00133638	−	0.00929472i
$145$	−2.76958	−	6.06454i	−0.230001	−	0.503633i
$146$	−4.67138	+	5.39106i	−0.386606	+	0.446167i
$147$	−7.87770	+	9.09135i	−0.649742	+	0.749842i
$148$	−6.21016	−	3.99103i	−0.510472	−	0.328061i
$149$	−6.49167	+	1.90613i	−0.531818	+	0.156156i	−0.536606	−	0.843833i	$-0.680294\pi$
$149$	−6.49167	+	1.90613i	−0.531818	+	0.156156i	0.00478839	+	0.999989i	$0.498476\pi$
$150$	0.732908	+	1.60485i	0.0598417	+	0.131035i
$151$	−12.3422	+	7.93184i	−1.00439	+	0.645484i	−0.935936	−	0.352170i	$-0.885444\pi$
$151$	−12.3422	+	7.93184i	−1.00439	+	0.645484i	−0.0684570	+	0.997654i	$0.521808\pi$
$152$	5.62943	+	3.61781i	0.456607	+	0.293443i
$153$	−0.644617	+	0.189277i	−0.0521142	+	0.0153021i
$154$	−0.196868	+	1.36925i	−0.0158641	+	0.110337i
$155$	−1.21432	+	2.65898i	−0.0975362	+	0.213574i
$156$	−0.326811	−	2.27302i	−0.0261658	−	0.181987i
$157$	−2.63918	+	18.3559i	−0.210630	+	1.46496i	0.560432	+	0.828201i	$0.310635\pi$
$157$	−2.63918	+	18.3559i	−0.210630	+	1.46496i	−0.771061	+	0.636761i	$0.780274\pi$
$158$	−4.82138	+	3.09851i	−0.383568	+	0.246504i
$159$	13.0301	−	15.0375i	1.03335	−	1.19255i
$160$	−0.841254	+	0.540641i	−0.0665069	+	0.0427414i
$161$	0.921473	−	2.01775i	0.0726223	−	0.159021i
$162$	−6.10681	−	7.04763i	−0.479796	−	0.553714i
$163$	24.8413			1.94572			0.972860	−	0.231395i	$-0.0743290\pi$
$163$	24.8413			1.94572			0.972860	+	0.231395i	$0.0743290\pi$
$164$	−6.28583			−0.490841
$165$	−3.75058	−	4.32840i	−0.291982	−	0.336965i
$166$	−1.41511	−	9.84233i	−0.109834	−	0.763913i
$167$	2.79999	−	0.822151i	0.216670	−	0.0636200i	−0.171596	−	0.985167i	$-0.554892\pi$
$167$	2.79999	−	0.822151i	0.216670	−	0.0636200i	0.388266	+	0.921547i	$0.373074\pi$
$168$	−0.721362	+	0.211811i	−0.0556543	+	0.0163416i
$169$	1.60899	+	11.1908i	0.123768	+	0.860827i
$170$	3.90435	+	4.50585i	0.299450	+	0.345583i
$171$	−0.754047			−0.0576634
$172$	2.99989			0.228740
$173$	−3.05167	−	3.52182i	−0.232014	−	0.267759i	0.627790	−	0.778383i	$-0.283960\pi$
$173$	−3.05167	−	3.52182i	−0.232014	−	0.267759i	−0.859804	+	0.510624i	$0.829414\pi$
$174$	−4.88632	+	10.6996i	−0.370431	+	0.811131i
$175$	0.358485	−	0.230384i	0.0270989	−	0.0174154i
$176$	2.12584	−	2.45335i	0.160241	−	0.184928i
$177$	8.92709	−	5.73709i	0.671001	−	0.431226i
$178$	−2.26626	+	15.7622i	−0.169863	+	1.18142i
$179$	0.915564	+	6.36789i	0.0684325	+	0.475958i	0.995004	+	0.0998388i	$0.0318327\pi$
$179$	0.915564	+	6.36789i	0.0684325	+	0.475958i	−0.926571	+	0.376120i	$0.877258\pi$
$180$	0.0468105	−	0.102501i	0.00348905	−	0.00763995i
$181$	1.55134	−	10.7898i	0.115310	−	0.801999i	−0.847301	−	0.531113i	$-0.821774\pi$
$181$	1.55134	−	10.7898i	0.115310	−	0.801999i	0.962611	−	0.270887i	$-0.0873168\pi$
$182$	−0.532187	+	0.156264i	−0.0394483	+	0.0115831i
$183$	14.7828	+	9.50033i	1.09278	+	0.702284i
$184$	−4.37908	+	2.81427i	−0.322830	+	0.207471i
$185$	−3.06661	−	6.71494i	−0.225462	−	0.493692i
$186$	4.94833	−	1.45296i	0.362829	−	0.106536i
$187$	−16.2820	−	10.4638i	−1.19066	−	0.765190i
$188$	1.52131	−	1.75569i	0.110953	−	0.128047i
$189$	−1.42153	+	1.64053i	−0.103401	+	0.119331i
$190$	2.77984	+	6.08700i	0.201671	+	0.441597i
$191$	−0.577268	−	4.01499i	−0.0417697	−	0.290514i	−0.999990	−	0.00448315i	$-0.998573\pi$
$191$	−0.577268	−	4.01499i	−0.0417697	−	0.290514i	0.958220	−	0.286031i	$-0.0923361\pi$
$192$	1.69281	+	0.497055i	0.122168	+	0.0358719i
$193$	8.15768	+	9.41446i	0.587202	+	0.677668i	0.969137	−	0.246521i	$-0.0792876\pi$
$193$	8.15768	+	9.41446i	0.587202	+	0.677668i	−0.381935	+	0.924189i	$0.624742\pi$
$194$	0.456212	+	0.133956i	0.0327541	+	0.00961747i
$195$	0.953955	−	2.08887i	0.0683142	−	0.149587i
$196$	−2.83247	−	6.20225i	−0.202319	−	0.443018i
$197$	−13.8510	−	8.90153i	−0.986846	−	0.634207i	−0.0555444	−	0.998456i	$-0.517689\pi$
$197$	−13.8510	−	8.90153i	−0.986846	−	0.634207i	−0.931302	+	0.364249i	$0.881326\pi$
$198$	−0.0520586	+	0.362076i	−0.00369965	+	0.0257316i
$199$	4.09677	+	1.20292i	0.290412	+	0.0852728i	0.423694	−	0.905805i	$-0.360733\pi$
$199$	4.09677	+	1.20292i	0.290412	+	0.0852728i	−0.133281	+	0.991078i	$0.542551\pi$
$200$	−1.00000			−0.0707107
$201$	7.85372	−	12.1189i	0.553959	−	0.854805i
$202$	−17.5348			−1.23375
$203$	2.72595	+	0.800412i	0.191324	+	0.0561779i
$204$	1.49698	−	10.4117i	0.104810	−	0.728968i
$205$	−5.28798	−	3.39838i	−0.369329	−	0.237353i
$206$	−0.457926	−	1.00272i	−0.0319052	−	0.0698627i
$207$	0.243669	−	0.533560i	0.0169361	−	0.0370850i
$208$	1.24888	+	0.366704i	0.0865942	+	0.0254263i
$209$	−14.2255	−	16.4171i	−0.984000	−	1.13560i
$210$	−0.721362	−	0.211811i	−0.0497787	−	0.0146164i
$211$	−3.53831	−	24.6095i	−0.243588	−	1.69419i	−0.633827	−	0.773475i	$-0.718517\pi$
$211$	−3.53831	−	24.6095i	−0.243588	−	1.69419i	0.390239	−	0.920714i	$-0.372392\pi$
$212$	4.68503	+	10.2588i	0.321769	+	0.704576i
$213$	−16.5692	+	19.1218i	−1.13530	+	1.31021i
$214$	3.34225	−	3.85716i	0.228472	−	0.263670i
$215$	2.52367	+	1.62186i	0.172113	+	0.110610i
$216$	4.88769	−	1.43516i	0.332565	−	0.0976500i
$217$	−0.517459	−	1.13308i	−0.0351274	−	0.0769182i
$218$	4.39868	−	2.82686i	0.297916	−	0.191459i
$219$	10.5874	+	6.80413i	0.715432	+	0.459781i
$220$	3.11475	−	0.914574i	0.209997	−	0.0616606i
$221$	1.10440	−	7.68130i	0.0742902	−	0.516700i
$222$	−5.41036	+	11.8470i	−0.363119	+	0.795120i
$223$	−4.20577	−	29.2518i	−0.281639	−	1.95885i	−0.283921	−	0.958848i	$-0.591635\pi$
$223$	−4.20577	−	29.2518i	−0.281639	−	1.95885i	0.00228178	−	0.999997i	$-0.499274\pi$
$224$	0.0606449	−	0.421795i	0.00405201	−	0.0281823i
$225$	0.0947955	−	0.0609214i	0.00631970	−	0.00406142i
$226$	−6.80665	+	7.85530i	−0.452772	+	0.522526i
$227$	−17.5373	+	11.2706i	−1.16399	+	0.748053i	−0.972377	−	0.233417i	$-0.925009\pi$
$227$	−17.5373	+	11.2706i	−1.16399	+	0.748053i	−0.191617	+	0.981470i	$0.561373\pi$
$228$	4.90441	−	10.7392i	0.324803	−	0.711219i
$229$	−15.6975	−	18.1159i	−1.03732	−	1.19713i	−0.980045	−	0.198775i	$-0.936304\pi$
$229$	−15.6975	−	18.1159i	−1.03732	−	1.19713i	−0.0572765	−	0.998358i	$-0.518242\pi$
$230$	−5.20543			−0.343236
$231$	2.44058			0.160579
$232$	−4.36598	−	5.03860i	−0.286640	−	0.330801i
$233$	−0.765485	−	5.32406i	−0.0501486	−	0.348791i	−0.999411	−	0.0343070i	$-0.989078\pi$
$233$	−0.765485	−	5.32406i	−0.0501486	−	0.348791i	0.949263	−	0.314484i	$-0.101831\pi$
$234$	−0.140728	+	0.0413215i	−0.00919969	+	0.00270127i
$235$	2.22901	−	0.654496i	0.145404	−	0.0426946i
$236$	0.855984	+	5.95350i	0.0557198	+	0.387540i
$237$	6.62157	+	7.64169i	0.430117	+	0.496381i
$238$	−2.54064			−0.164685
$239$	−13.4306			−0.868753			−0.434376	−	0.900731i	$-0.643031\pi$
$239$	−13.4306			−0.868753			−0.434376	+	0.900731i	$0.643031\pi$
$240$	1.15536	+	1.33335i	0.0745780	+	0.0860676i
$241$	10.9084	−	23.8860i	0.702669	−	1.53863i	−0.134037	−	0.990976i	$-0.542794\pi$
$241$	10.9084	−	23.8860i	0.702669	−	1.53863i	0.836705	−	0.547653i	$-0.184479\pi$
$242$	0.388544	−	0.249702i	0.0249766	−	0.0160515i
$243$	−0.766469	+	0.884552i	−0.0491690	+	0.0567441i
$244$	−8.37894	+	5.38482i	−0.536407	+	0.344728i
$245$	0.970361	−	6.74901i	0.0619941	−	0.431178i
$246$	1.57827	+	10.9771i	0.100627	+	0.699874i
$247$	3.61825	−	7.92285i	0.230223	−	0.504119i
$248$	−0.416006	+	2.89338i	−0.0264164	+	0.183730i
$249$	−16.8326	+	4.94249i	−1.06672	+	0.313217i
$250$	−0.841254	−	0.540641i	−0.0532055	−	0.0341931i
$251$	−10.7783	+	6.92682i	−0.680323	+	0.437217i	−0.834634	−	0.550805i	$-0.814321\pi$
$251$	−10.7783	+	6.92682i	−0.680323	+	0.437217i	0.154311	+	0.988022i	$0.450684\pi$
$252$	0.0199474	+	0.0436788i	0.00125657	+	0.00275151i
$253$	16.2136	−	4.76075i	1.01934	−	0.299306i
$254$	2.22727	+	1.43138i	0.139751	+	0.0898127i
$255$	6.88836	−	7.94959i	0.431366	−	0.497823i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	8.03699	+	17.5986i	0.501334	+	1.09777i	0.976034	+	0.217620i	$0.0698293\pi$
$257$	8.03699	+	17.5986i	0.501334	+	1.09777i	−0.474700	+	0.880148i	$0.657443\pi$
$258$	−0.753222	−	5.23878i	−0.0468936	−	0.326152i
$259$	3.01830	+	0.886252i	0.187548	+	0.0550690i
$260$	0.852368	+	0.983686i	0.0528616	+	0.0610056i
$261$	0.720834	+	0.211656i	0.0446185	+	0.0131012i
$262$	4.14845	−	9.08384i	0.256292	−	0.561202i
$263$	5.60573	+	12.2748i	0.345664	+	0.756899i	1.00000		0.000694949i	$0.000221209\pi$
$263$	5.60573	+	12.2748i	0.345664	+	0.756899i	−0.654335	+	0.756204i	$0.727052\pi$
$264$	−4.81811	−	3.09641i	−0.296534	−	0.190571i
$265$	−1.60502	+	11.1631i	−0.0985955	+	0.685747i
$266$	−2.73605	−	0.803375i	−0.167758	−	0.0492581i
$267$	28.0948			1.71937
$268$	4.39909	+	6.90275i	0.268717	+	0.421653i
$269$	3.59751			0.219344			0.109672	−	0.993968i	$-0.465020\pi$
$269$	3.59751			0.219344			0.109672	+	0.993968i	$0.465020\pi$
$270$	4.88769	+	1.43516i	0.297455	+	0.0873408i
$271$	1.33316	−	9.27233i	0.0809837	−	0.563254i	−0.908420	−	0.418060i	$-0.862710\pi$
$271$	1.33316	−	9.27233i	0.0809837	−	0.563254i	0.989403	−	0.145194i	$-0.0463807\pi$
$272$	5.01564	+	3.22335i	0.304118	+	0.195445i
$273$	0.406511	+	0.890135i	0.0246032	+	0.0538734i
$274$	0.960133	−	2.10240i	0.0580037	−	0.127010i
$275$	3.11475	+	0.914574i	0.187827	+	0.0551509i
$276$	6.01413	+	6.94068i	0.362008	+	0.417780i
$277$	12.3399	+	3.62333i	0.741435	+	0.217705i	0.630572	−	0.776131i	$-0.282820\pi$
$277$	12.3399	+	3.62333i	0.741435	+	0.217705i	0.110863	+	0.993836i	$0.464639\pi$
$278$	1.78431	+	12.4101i	0.107016	+	0.744309i
$279$	−0.136833	−	0.299623i	−0.00819201	−	0.0179380i
$280$	0.279057	−	0.322049i	0.0166769	−	0.0192461i
$281$	5.19910	−	6.00008i	0.310152	−	0.357935i	−0.579177	−	0.815202i	$-0.696626\pi$
$281$	5.19910	−	6.00008i	0.310152	−	0.357935i	0.889330	+	0.457267i	$0.151172\pi$
$282$	−3.44798	−	2.21588i	−0.205324	−	0.131954i
$283$	17.0188	−	4.99718i	1.01167	−	0.297052i	0.266431	−	0.963854i	$-0.414156\pi$
$283$	17.0188	−	4.99718i	1.01167	−	0.297052i	0.745235	+	0.666802i	$0.232337\pi$
$284$	−5.95753	−	13.0452i	−0.353514	−	0.774088i
$285$	9.93189	−	6.38284i	0.588314	−	0.378087i
$286$	−3.55457	−	2.28438i	−0.210186	−	0.135078i
$287$	2.57009	−	0.754647i	0.151708	−	0.0445454i
$288$	0.0160366	−	0.111537i	0.000944963	−	0.00657236i
$289$	7.70455	−	16.8706i	0.453209	−	0.992389i
$290$	−0.948817	−	6.59917i	−0.0557165	−	0.387517i
$291$	0.119383	−	0.830327i	0.00699835	−	0.0486746i
$292$	−6.00099	+	3.85660i	−0.351182	+	0.225691i
$293$	4.23165	−	4.88358i	0.247215	−	0.285302i	−0.618557	−	0.785740i	$-0.712282\pi$
$293$	4.23165	−	4.88358i	0.247215	−	0.285302i	0.865772	+	0.500438i	$0.166828\pi$
$294$	−10.1199	+	6.50369i	−0.590206	+	0.379303i
$295$	−2.49861	+	5.47118i	−0.145474	+	0.318545i
$296$	−4.83420	−	5.57897i	−0.280982	−	0.324271i
$297$	−16.5365			−0.959545
$298$	−6.76573			−0.391928
$299$	4.43694	+	5.12051i	0.256595	+	0.296126i
$300$	0.251083	+	1.74632i	0.0144963	+	0.100824i
$301$	−1.22657	+	0.360153i	−0.0706982	+	0.0207589i
$302$	−14.0769	+	4.13335i	−0.810035	+	0.237848i
$303$	4.40270	+	30.6214i	0.252928	+	1.75916i
$304$	4.38214	+	5.05726i	0.251333	+	0.290054i
$305$	−9.96007			−0.570312
$306$	−0.671831			−0.0384060
$307$	16.2822	+	18.7906i	0.929273	+	1.07244i	0.997202	+	0.0747486i	$0.0238154\pi$
$307$	16.2822	+	18.7906i	0.929273	+	1.07244i	−0.0679289	+	0.997690i	$0.521639\pi$
$308$	−0.574656	+	1.25832i	−0.0327441	+	0.0716995i
$309$	−1.63609	+	1.05145i	−0.0930740	+	0.0598151i
$310$	−1.91425	+	2.20916i	−0.108722	+	0.125472i
$311$	−9.71653	+	6.24443i	−0.550974	+	0.354089i	−0.786317	−	0.617823i	$-0.788015\pi$
$311$	−9.71653	+	6.24443i	−0.550974	+	0.354089i	0.235344	+	0.971912i	$0.424378\pi$
$312$	0.326811	−	2.27302i	0.0185020	−	0.128684i
$313$	3.01747	+	20.9869i	0.170557	+	1.18625i	0.877710	+	0.479191i	$0.159070\pi$
$313$	3.01747	+	20.9869i	0.170557	+	1.18625i	−0.707153	+	0.707060i	$0.750021\pi$
$314$	−7.70374	+	16.8688i	−0.434747	+	0.951963i
$315$	−0.00683369	+	0.0475293i	−0.000385035	+	0.00267797i
$316$	−5.49903	+	1.61466i	−0.309345	+	0.0908318i
$317$	15.2116	+	9.77588i	0.854366	+	0.549068i	0.892934	−	0.450188i	$-0.148643\pi$
$317$	15.2116	+	9.77588i	0.854366	+	0.549068i	−0.0385675	+	0.999256i	$0.512279\pi$
$318$	16.7388	−	10.7574i	0.938665	−	0.603243i
$319$	8.99076	+	19.6870i	0.503386	+	1.10226i
$320$	−0.959493	+	0.281733i	−0.0536373	+	0.0157493i
$321$	−7.57504	−	4.86818i	−0.422797	−	0.271715i
$322$	1.45261	−	1.67640i	0.0809509	−	0.0934223i
$323$	26.1268	−	30.1519i	1.45373	−	1.67770i
$324$	−3.87389	−	8.48264i	−0.215216	−	0.471258i
$325$	0.185237	+	1.28835i	0.0102751	+	0.0714650i
$326$	23.8350	+	6.99860i	1.32010	+	0.387617i
$327$	−6.04104	−	6.97173i	−0.334070	−	0.385538i
$328$	−6.03121	−	1.77092i	−0.333018	−	0.0977829i
$329$	−0.411241	+	0.900492i	−0.0226724	+	0.0496457i
$330$	−2.37920	−	5.20973i	−0.130971	−	0.286786i
$331$	1.42026	+	0.912745i	0.0780645	+	0.0501690i	0.579091	−	0.815263i	$-0.303408\pi$
$331$	1.42026	+	0.912745i	0.0780645	+	0.0501690i	−0.501026	+	0.865432i	$0.667044\pi$
$332$	1.41511	−	9.84233i	0.0776644	−	0.540168i
$333$	0.798139	+	0.234355i	0.0437378	+	0.0128426i
$334$	2.91820			0.159677
$335$	−0.0311567	+	8.18529i	−0.00170227	+	0.447210i
$336$	−0.751816			−0.0410149
$337$	−19.1894	−	5.63453i	−1.04532	−	0.306932i	−0.286392	−	0.958112i	$-0.592456\pi$
$337$	−19.1894	−	5.63453i	−1.04532	−	0.306932i	−0.758923	+	0.651180i	$0.774274\pi$
$338$	−1.60899	+	11.1908i	−0.0875174	+	0.608697i
$339$	15.4269	+	9.91427i	0.837875	+	0.538469i
$340$	2.47675	+	5.42332i	0.134320	+	0.294121i
$341$	3.94197	−	8.63171i	0.213470	−	0.467433i
$342$	−0.723502	−	0.212439i	−0.0391225	−	0.0114874i
$343$	3.85613	+	4.45021i	0.208211	+	0.240289i
$344$	2.87837	+	0.845167i	0.155192	+	0.0455683i
$345$	1.30700	+	9.09035i	0.0703663	+	0.489408i
$346$	−1.93585	−	4.23891i	−0.104072	−	0.227885i
$347$	7.60103	−	8.77206i	0.408045	−	0.470909i	−0.514113	−	0.857722i	$-0.671879\pi$
$347$	7.60103	−	8.77206i	0.408045	−	0.470909i	0.922158	+	0.386814i	$0.126424\pi$
$348$	−7.70280	+	8.88951i	−0.412914	+	0.476528i
$349$	23.1021	+	14.8468i	1.23663	+	0.794734i	0.984910	−	0.173067i	$-0.0553676\pi$
$349$	23.1021	+	14.8468i	1.23663	+	0.794734i	0.251719	+	0.967800i	$0.419004\pi$
$350$	0.408871	−	0.120055i	0.0218551	−	0.00641722i
$351$	−2.75437	−	6.03123i	−0.147017	−	0.321923i
$352$	2.73092	−	1.75506i	0.145558	−	0.0935447i
$353$	−21.4313	−	13.7731i	−1.14068	−	0.733068i	−0.172914	−	0.984937i	$-0.555318\pi$
$353$	−21.4313	−	13.7731i	−1.14068	−	0.733068i	−0.967761	+	0.251869i	$0.918955\pi$
$354$	10.1818	−	2.98965i	0.541157	−	0.158898i
$355$	2.04096	−	14.1952i	0.108323	−	0.753402i
$356$	−6.61517	+	14.4852i	−0.350603	+	0.767714i
$357$	0.637912	+	4.43678i	0.0337619	+	0.234819i
$358$	−0.915564	+	6.36789i	−0.0483891	+	0.336553i
$359$	−9.13965	+	5.87370i	−0.482372	+	0.310002i	−0.759131	−	0.650937i	$-0.774376\pi$
$359$	−9.13965	+	5.87370i	−0.482372	+	0.310002i	0.276759	+	0.960939i	$0.410740\pi$
$360$	0.0737921	−	0.0851606i	0.00388918	−	0.00448836i
$361$	21.6867	−	13.9372i	1.14141	−	0.733537i
$362$	4.52834	−	9.91567i	0.238004	−	0.521156i
$363$	−0.533617	−	0.615827i	−0.0280077	−	0.0323226i
$364$	−0.554654			−0.0290718
$365$	−7.13340			−0.373379
$366$	11.5074	+	13.2803i	0.601503	+	0.694172i
$367$	−1.77282	−	12.3302i	−0.0925404	−	0.643633i	−0.982315	−	0.187233i	$-0.940048\pi$
$367$	−1.77282	−	12.3302i	−0.0925404	−	0.643633i	0.889775	−	0.456399i	$-0.150861\pi$
$368$	−4.99457	+	1.46654i	−0.260360	+	0.0764486i
$369$	0.679619	−	0.199554i	0.0353795	−	0.0103884i
$370$	−1.05057	−	7.30690i	−0.0546167	−	0.379867i
$371$	−3.14719	−	3.63205i	−0.163394	−	0.188567i
$372$	5.15723			0.267390
$373$	11.4822			0.594526			0.297263	−	0.954796i	$-0.403926\pi$
$373$	11.4822			0.594526			0.297263	+	0.954796i	$0.403926\pi$
$374$	−12.6745	−	14.6271i	−0.655382	−	0.756351i
$375$	−0.732908	+	1.60485i	−0.0378472	+	0.0828739i
$376$	1.95433	−	1.25597i	0.100787	−	0.0647716i
$377$	−5.68277	+	6.55826i	−0.292677	+	0.337768i
$378$	−1.82613	+	1.17359i	−0.0939262	+	0.0603627i
$379$	0.515091	−	3.58254i	0.0264585	−	0.184023i	−0.972306	−	0.233710i	$-0.924913\pi$
$379$	0.515091	−	3.58254i	0.0264585	−	0.184023i	0.998765	+	0.0496873i	$0.0158225\pi$
$380$	0.952330	+	6.62360i	0.0488535	+	0.339784i
$381$	1.94042	−	4.24893i	0.0994107	−	0.217679i
$382$	0.577268	−	4.01499i	0.0295356	−	0.205425i
$383$	20.8454	−	6.12077i	1.06515	−	0.312757i	0.298228	−	0.954495i	$-0.403604\pi$
$383$	20.8454	−	6.12077i	1.06515	−	0.312757i	0.766924	+	0.641738i	$0.221786\pi$
$384$	1.48421	+	0.953842i	0.0757406	+	0.0486755i
$385$	−1.16373	+	0.747885i	−0.0593093	+	0.0381158i
$386$	5.17487	+	11.3314i	0.263394	+	0.576753i
$387$	−0.324346	+	0.0952365i	−0.0164874	+	0.00484114i
$388$	0.399992	+	0.257059i	0.0203065	+	0.0130502i
$389$	22.5873	−	26.0671i	1.14522	−	1.32166i	0.205916	−	0.978570i	$-0.433982\pi$
$389$	22.5873	−	26.0671i	1.14522	−	1.32166i	0.939304	−	0.343085i	$-0.111472\pi$
$390$	1.50382	−	1.73550i	0.0761487	−	0.0878803i
$391$	12.8925	+	28.2307i	0.652003	+	1.42769i
$392$	−0.970361	−	6.74901i	−0.0490106	−	0.340876i
$393$	−16.9049	−	4.96373i	−0.852740	−	0.250387i
$394$	−10.7821	−	12.4432i	−0.543196	−	0.626881i
$395$	−5.49903	−	1.61466i	−0.276686	−	0.0812424i
$396$	−0.151958	+	0.332743i	−0.00763620	+	0.0167209i
$397$	−7.94898	−	17.4058i	−0.398948	−	0.873574i	−0.997376	−	0.0723971i	$-0.976935\pi$
$397$	−7.94898	−	17.4058i	−0.398948	−	0.873574i	0.598428	−	0.801176i	$-0.295792\pi$
$398$	3.59192	+	2.30839i	0.180047	+	0.115709i
$399$	−0.715977	+	4.97973i	−0.0358437	+	0.249298i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	−13.8698			−0.692623			−0.346311	−	0.938120i	$-0.612566\pi$
$401$	−13.8698			−0.692623			−0.346311	+	0.938120i	$0.612566\pi$
$402$	10.9499	−	9.41540i	0.546131	−	0.469597i
$403$	3.80476			0.189529
$404$	−16.8245	−	4.94013i	−0.837052	−	0.245781i
$405$	1.32714	−	9.23043i	0.0659459	−	0.458664i
$406$	2.39003	+	1.53598i	0.118615	+	0.0762294i
$407$	9.95498	+	21.7984i	0.493450	+	1.08050i
$408$	4.36967	−	9.56825i	0.216331	−	0.473699i
$409$	2.24724	+	0.659851i	0.111119	+	0.0326275i	0.336819	−	0.941569i	$-0.390649\pi$
$409$	2.24724	+	0.659851i	0.111119	+	0.0326275i	−0.225700	+	0.974197i	$0.572467\pi$
$410$	−4.11635	−	4.75052i	−0.203292	−	0.234611i
$411$	−3.91254	−	1.14882i	−0.192991	−	0.0566673i
$412$	−0.156879	−	1.09111i	−0.00772885	−	0.0537553i
$413$	−1.06474	−	2.33145i	−0.0523922	−	0.114723i
$414$	0.384119	−	0.443297i	0.0188784	−	0.0217869i
$415$	6.51163	−	7.51483i	0.319644	−	0.368888i
$416$	1.09498	+	0.703700i	0.0536857	+	0.0345017i
$417$	21.2241	−	6.23195i	1.03935	−	0.305180i
$418$	−9.02405	−	19.7599i	−0.441381	−	0.966489i
$419$	−19.7140	+	12.6694i	−0.963094	+	0.618943i	−0.924853	−	0.380326i	$-0.875812\pi$
$419$	−19.7140	+	12.6694i	−0.963094	+	0.618943i	−0.0382411	+	0.999269i	$0.512175\pi$
$420$	−0.632468	−	0.406462i	−0.0308613	−	0.0198333i
$421$	17.6975	−	5.19646i	0.862524	−	0.253260i	0.179591	−	0.983741i	$-0.442522\pi$
$421$	17.6975	−	5.19646i	0.862524	−	0.253260i	0.682933	+	0.730481i	$0.260704\pi$
$422$	3.53831	−	24.6095i	0.172242	−	1.19797i
$423$	−0.108746	+	0.238120i	−0.00528741	+	0.0115778i
$424$	1.60502	+	11.1631i	0.0779466	+	0.542130i
$425$	−0.848495	+	5.90141i	−0.0411581	+	0.286261i
$426$	−21.2852	+	13.6792i	−1.03127	+	0.662759i
$427$	2.77943	−	3.20763i	0.134506	−	0.155228i
$428$	4.29356	−	2.75930i	0.207537	−	0.133376i
$429$	−3.09678	+	6.78100i	−0.149514	+	0.327390i
$430$	1.96451	+	2.26717i	0.0947371	+	0.109332i
$431$	5.29243			0.254927			0.127464	−	0.991843i	$-0.459316\pi$
$431$	5.29243			0.254927			0.127464	+	0.991843i	$0.459316\pi$
$432$	5.09403			0.245087
$433$	−2.22190	−	2.56421i	−0.106778	−	0.123228i	0.699845	−	0.714295i	$-0.253252\pi$
$433$	−2.22190	−	2.56421i	−0.106778	−	0.123228i	−0.806623	+	0.591067i	$0.798707\pi$
$434$	−0.177273	−	1.23296i	−0.00850940	−	0.0591842i
$435$	−11.2860	+	3.31388i	−0.541124	+	0.158888i
$436$	5.01692	−	1.47310i	0.240267	−	0.0705487i
$437$	4.95729	+	34.4787i	0.237139	+	1.64934i
$438$	8.24162	+	9.51134i	0.393800	+	0.454469i
$439$	−31.4019			−1.49873			−0.749367	−	0.662155i	$-0.769642\pi$
$439$	−31.4019			−1.49873			−0.749367	+	0.662155i	$0.769642\pi$
$440$	3.24625			0.154759
$441$	0.503145	+	0.580660i	0.0239593	+	0.0276505i
$442$	3.22374	−	7.05900i	0.153338	−	0.335763i
$443$	−12.0561	+	7.74798i	−0.572802	+	0.368117i	−0.794746	−	0.606942i	$-0.792396\pi$
$443$	−12.0561	+	7.74798i	−0.572802	+	0.368117i	0.221944	+	0.975059i	$0.428760\pi$
$444$	−8.52889	+	9.84286i	−0.404763	+	0.467122i
$445$	−13.3963	+	8.60929i	−0.635047	+	0.408120i
$446$	4.20577	−	29.2518i	0.199149	−	1.38511i
$447$	1.69876	+	11.8151i	0.0803486	+	0.558837i
$448$	0.177022	−	0.387623i	0.00836348	−	0.0183135i
$449$	4.12255	−	28.6730i	0.194555	−	1.35316i	−0.625208	−	0.780458i	$-0.714986\pi$
$449$	4.12255	−	28.6730i	0.194555	−	1.35316i	0.819763	−	0.572702i	$-0.194105\pi$
$450$	0.108119	−	0.0317466i	0.00509679	−	0.00149655i
$451$	17.1661	+	11.0320i	0.808320	+	0.519476i
$452$	−8.74403	+	5.61945i	−0.411284	+	0.264316i
$453$	10.7526	+	23.5450i	0.505203	+	1.10624i
$454$	−20.0022	+	5.87318i	−0.938751	+	0.275642i
$455$	−0.466605	−	0.299869i	−0.0218748	−	0.0140581i
$456$	7.73132	−	8.92242i	0.362052	−	0.417831i
$457$	17.0292	−	19.6527i	0.796592	−	0.919316i	−0.201598	−	0.979468i	$-0.564613\pi$
$457$	17.0292	−	19.6527i	0.796592	−	0.919316i	0.998189	+	0.0601528i	$0.0191588\pi$
$458$	−9.95782	−	21.8046i	−0.465299	−	1.01886i
$459$	−4.32226	−	30.0620i	−0.201746	−	1.40317i
$460$	−4.99457	−	1.46654i	−0.232873	−	0.0683777i
$461$	−9.53355	−	11.0023i	−0.444021	−	0.512428i	0.488983	−	0.872293i	$-0.337368\pi$
$461$	−9.53355	−	11.0023i	−0.444021	−	0.512428i	−0.933004	+	0.359865i	$0.882823\pi$
$462$	2.34172	+	0.687592i	0.108947	+	0.0319897i
$463$	9.70754	−	21.2566i	0.451148	−	0.987876i	−0.538269	−	0.842773i	$-0.680921\pi$
$463$	9.70754	−	21.2566i	0.451148	−	0.987876i	0.989417	−	0.145103i	$-0.0463513\pi$
$464$	−2.76958	−	6.06454i	−0.128575	−	0.281539i
$465$	4.33854	+	2.78821i	0.201195	+	0.129300i
$466$	0.765485	−	5.32406i	0.0354604	−	0.246633i
$467$	−24.8491	−	7.29636i	−1.14988	−	0.337635i	−0.349388	−	0.936978i	$-0.613610\pi$
$467$	−24.8491	−	7.29636i	−1.14988	−	0.337635i	−0.800492	+	0.599343i	$0.795429\pi$
$468$	−0.146669			−0.00677979
$469$	−2.62737	−	2.29420i	−0.121321	−	0.105936i
$470$	2.32311			0.107157
$471$	31.3927	+	9.21773i	1.44650	+	0.424730i
$472$	−0.855984	+	5.95350i	−0.0393999	+	0.274032i
$473$	−8.19246	−	5.26497i	−0.376690	−	0.242084i
$474$	4.20043	+	9.19766i	0.192932	+	0.422463i
$475$	−2.77984	+	6.08700i	−0.127548	+	0.279291i
$476$	−2.43773	−	0.715781i	−0.111733	−	0.0328078i
$477$	−0.832223	−	0.960436i	−0.0381049	−	0.0439754i
$478$	−12.8866	−	3.78384i	−0.589417	−	0.173069i
$479$	0.812673	+	5.65227i	0.0371320	+	0.258259i	0.999928	−	0.0119692i	$-0.00381002\pi$
$479$	0.812673	+	5.65227i	0.0371320	+	0.258259i	−0.962796	+	0.270228i	$0.912901\pi$
$480$	0.732908	+	1.60485i	0.0334525	+	0.0732508i
$481$	−6.29221	+	7.26160i	−0.286900	+	0.331101i
$482$	17.1959	−	19.8452i	0.783254	−	0.903923i
$483$	−3.29227	−	2.11581i	−0.149803	−	0.0962727i
$484$	0.443155	−	0.130122i	0.0201434	−	0.00591463i
$485$	0.197518	+	0.432504i	0.00896884	+	0.0196390i
$486$	−0.984629	+	0.632783i	−0.0446637	+	0.0287036i
$487$	19.6037	+	12.5985i	0.888327	+	0.570893i	0.903307	−	0.428995i	$-0.141132\pi$
$487$	19.6037	+	12.5985i	0.888327	+	0.570893i	−0.0149800	+	0.999888i	$0.504768\pi$
$488$	−9.55661	+	2.80608i	−0.432608	+	0.127025i
$489$	6.23723	−	43.3809i	0.282057	−	1.96175i
$490$	2.83247	−	6.20225i	0.127958	−	0.280189i
$491$	−0.656750	−	4.56780i	−0.0296387	−	0.206142i	0.969621	−	0.244612i	$-0.0786606\pi$
$491$	−0.656750	−	4.56780i	−0.0296387	−	0.206142i	−0.999260	+	0.0384703i	$0.987752\pi$
$492$	−1.57827	+	10.9771i	−0.0711538	+	0.494885i
$493$	−33.4394	+	21.4902i	−1.50604	+	0.967870i
$494$	5.70381	−	6.58254i	0.256626	−	0.296163i
$495$	−0.307730	+	0.197766i	−0.0138314	+	0.00888892i
$496$	−1.21432	+	2.65898i	−0.0545244	+	0.119392i
$497$	4.00200	+	4.61855i	0.179514	+	0.207170i
$498$	−17.5432			−0.786129
$499$	−12.0860			−0.541046			−0.270523	−	0.962714i	$-0.587197\pi$
$499$	−12.0860			−0.541046			−0.270523	+	0.962714i	$0.587197\pi$
$500$	−0.654861	−	0.755750i	−0.0292863	−	0.0337981i
$501$	−0.732711	−	5.09611i	−0.0327351	−	0.227678i
$502$	−12.2932	+	3.60962i	−0.548675	+	0.161105i
$503$	−22.8607	+	6.71252i	−1.01931	+	0.299297i	−0.748357	−	0.663296i	$-0.769157\pi$
$503$	−22.8607	+	6.71252i	−1.01931	+	0.299297i	−0.270953	+	0.962593i	$0.587339\pi$
$504$	0.00683369	+	0.0475293i	0.000304397	+	0.00211712i
$505$	−11.4829	−	13.2519i	−0.510981	−	0.589703i
$506$	16.8981			0.751213
$507$	19.9466			0.885862
$508$	1.73378	+	2.00089i	0.0769242	+	0.0887753i
$509$	7.66354	−	16.7808i	0.339680	−	0.743796i	−0.660294	−	0.751008i	$-0.729568\pi$
$509$	7.66354	−	16.7808i	0.339680	−	0.743796i	0.999974	+	0.00721122i	$0.00229542\pi$
$510$	8.84899	−	5.68690i	0.391840	−	0.251820i
$511$	1.99062	−	2.29730i	0.0880600	−	0.101627i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	4.85120	−	33.7409i	0.214186	−	1.48970i
$514$	2.75335	+	19.1500i	0.121445	+	0.844669i
$515$	0.457926	−	1.00272i	0.0201786	−	0.0441851i
$516$	0.753222	−	5.23878i	0.0331588	−	0.230624i
$517$	−7.23592	+	2.12466i	−0.318235	+	0.0934423i
$518$	2.64635	+	1.70071i	0.116274	+	0.0747247i
$519$	−6.91645	+	4.44493i	−0.303598	+	0.195111i
$520$	0.540705	+	1.18398i	0.0237115	+	0.0519209i
$521$	−39.3050	+	11.5410i	−1.72198	+	0.505620i	−0.985331	−	0.170651i	$-0.945413\pi$
$521$	−39.3050	+	11.5410i	−1.72198	+	0.505620i	−0.736653	+	0.676271i	$0.763595\pi$
$522$	0.632004	+	0.406165i	0.0276621	+	0.0177773i
$523$	7.10823	−	8.20333i	0.310821	−	0.358707i	−0.578749	−	0.815506i	$-0.696459\pi$
$523$	7.10823	−	8.20333i	0.310821	−	0.358707i	0.889570	+	0.456799i	$0.151004\pi$
$524$	6.53962	−	7.54713i	0.285685	−	0.329698i
$525$	−0.312316	−	0.683876i	−0.0136306	−	0.0298468i
$526$	1.92044	+	13.3569i	0.0837351	+	0.582391i
$527$	16.7221	+	4.91005i	0.728425	+	0.213885i
$528$	−3.75058	−	4.32840i	−0.163223	−	0.188369i
$529$	−3.93055	−	1.15411i	−0.170893	−	0.0501788i
$530$	−4.68503	+	10.2588i	−0.203505	+	0.445613i
$531$	−0.281552	−	0.616513i	−0.0122183	−	0.0267544i
$532$	−2.39888	−	1.54167i	−0.104005	−	0.0668397i
$533$	−1.16437	+	8.09838i	−0.0504345	+	0.350780i
$534$	26.9568	+	7.91522i	1.16653	+	0.342525i
$535$	5.10376			0.220655
$536$	2.27617	+	7.86251i	0.0983155	+	0.339609i
$537$	11.3503			0.489800
$538$	3.45179	+	1.01354i	0.148817	+	0.0436966i
$539$	−3.15003	+	21.9090i	−0.135682	+	0.943686i
$540$	4.28537	+	2.75404i	0.184413	+	0.118515i
$541$	17.7292	+	38.8215i	0.762237	+	1.66907i	0.743037	+	0.669251i	$0.233385\pi$
$541$	17.7292	+	38.8215i	0.762237	+	1.66907i	0.0192006	+	0.999816i	$0.493888\pi$
$542$	3.89147	−	8.52114i	0.167153	−	0.366014i
$543$	−18.4529	−	5.41827i	−0.791892	−	0.232520i
$544$	3.90435	+	4.50585i	0.167397	+	0.193187i
$545$	5.01692	+	1.47310i	0.214901	+	0.0631007i
$546$	0.139264	+	0.968605i	0.00595997	+	0.0414525i
$547$	−13.1197	−	28.7282i	−0.560959	−	1.22833i	−0.951473	−	0.307732i	$-0.900430\pi$
$547$	−13.1197	−	28.7282i	−0.560959	−	1.22833i	0.390514	−	0.920597i	$-0.372297\pi$
$548$	1.51355	−	1.74674i	0.0646558	−	0.0746168i
$549$	0.734974	−	0.848205i	0.0313679	−	0.0362005i
$550$	2.73092	+	1.75506i	0.116447	+	0.0748358i
$551$	−42.8067	+	12.5692i	−1.82363	+	0.535465i
$552$	3.81510	+	8.35391i	0.162382	+	0.355566i
$553$	2.05454	−	1.32037i	0.0873681	−	0.0561480i
$554$	10.8193	+	6.95312i	0.459667	+	0.295410i
$555$	−12.4964	+	3.66928i	−0.530443	+	0.155752i
$556$	−1.78431	+	12.4101i	−0.0756714	+	0.526306i
$557$	−2.82040	+	6.17580i	−0.119504	+	0.261677i	−0.959925	−	0.280257i	$-0.909580\pi$
$557$	−2.82040	+	6.17580i	−0.119504	+	0.261677i	0.840421	+	0.541934i	$0.182308\pi$
$558$	−0.0468771	−	0.326037i	−0.00198446	−	0.0138023i
$559$	0.555692	−	3.86492i	0.0235033	−	0.163469i
$560$	0.358485	−	0.230384i	0.0151488	−	0.00973551i
$561$	−22.3613	+	25.8064i	−0.944096	+	1.08955i
$562$	6.67892	−	4.29228i	0.281733	−	0.181059i
$563$	11.4599	−	25.0937i	0.482978	−	1.05757i	−0.498656	−	0.866800i	$-0.666173\pi$
$563$	11.4599	−	25.0937i	0.482978	−	1.05757i	0.981634	−	0.190774i	$-0.0610999\pi$
$564$	−2.68402	−	3.09753i	−0.113018	−	0.130429i
$565$	−10.3940			−0.437281
$566$	17.7373			0.745556
$567$	2.60231	+	3.00322i	0.109287	+	0.126123i
$568$	−2.04096	−	14.1952i	−0.0856367	−	0.595616i
$569$	−7.73707	+	2.27181i	−0.324355	+	0.0952392i	−0.439856	−	0.898068i	$-0.644971\pi$
$569$	−7.73707	+	2.27181i	−0.324355	+	0.0952392i	0.115501	+	0.993307i	$0.463152\pi$
$570$	11.3278	−	3.32615i	0.474471	−	0.139317i
$571$	−0.353546	−	2.45897i	−0.0147955	−	0.102905i	0.981086	−	0.193575i	$-0.0620082\pi$
$571$	−0.353546	−	2.45897i	−0.0147955	−	0.102905i	−0.995881	+	0.0906701i	$0.971099\pi$
$572$	−2.76700	−	3.19329i	−0.115694	−	0.133518i
$573$	−7.15641			−0.298963
$574$	2.67859			0.111802
$575$	−3.40883	−	3.93400i	−0.142158	−	0.164059i
$576$	0.0468105	−	0.102501i	0.00195044	−	0.00427086i
$577$	3.98811	−	2.56300i	0.166027	−	0.106699i	−0.454989	−	0.890497i	$-0.650357\pi$
$577$	3.98811	−	2.56300i	0.166027	−	0.106699i	0.621016	+	0.783798i	$0.286720\pi$
$578$	12.1455	−	14.0166i	0.505185	−	0.583014i
$579$	18.4889	−	11.8821i	0.768374	−	0.493804i
$580$	0.948817	−	6.59917i	0.0393975	−	0.274016i
$581$	0.603025	+	4.19413i	0.0250177	+	0.174002i
$582$	0.348477	−	0.763059i	0.0144448	−	0.0316298i
$583$	5.21029	−	36.2384i	0.215788	−	1.50084i
$584$	−6.84444	+	2.00971i	−0.283225	+	0.0831624i
$585$	−0.123386	−	0.0792954i	−0.00510139	−	0.00327846i
$586$	5.43610	−	3.49357i	0.224563	−	0.144318i
$587$	11.0567	+	24.2108i	0.456359	+	0.999288i	0.988302	+	0.152507i	$0.0487348\pi$
$587$	11.0567	+	24.2108i	0.456359	+	0.999288i	−0.531943	+	0.846780i	$0.678538\pi$
$588$	−11.5423	+	3.38913i	−0.475997	+	0.139765i
$589$	16.4556	+	10.5754i	0.678041	+	0.435751i
$590$	−3.93880	+	4.54562i	−0.162158	+	0.187140i
$591$	−19.0227	+	21.9534i	−0.782489	+	0.903041i
$592$	−3.06661	−	6.71494i	−0.126037	−	0.275982i
$593$	1.08737	+	7.56281i	0.0446529	+	0.310568i	0.999891	+	0.0147311i	$0.00468923\pi$
$593$	1.08737	+	7.56281i	0.0446529	+	0.310568i	−0.955239	+	0.295836i	$0.904402\pi$
$594$	−15.8667	−	4.65887i	−0.651017	−	0.191156i
$595$	−1.66377	−	1.92009i	−0.0682078	−	0.0787160i
$596$	−6.49167	−	1.90613i	−0.265909	−	0.0780779i
$597$	3.12932	−	6.85225i	0.128074	−	0.280444i
$598$	2.81460	+	6.16312i	0.115098	+	0.252029i
$599$	28.2706	+	18.1684i	1.15510	+	0.742340i	0.970649	−	0.240501i	$-0.0773118\pi$
$599$	28.2706	+	18.1684i	1.15510	+	0.742340i	0.184455	+	0.982841i	$0.440948\pi$
$600$	−0.251083	+	1.74632i	−0.0102504	+	0.0712933i
$601$	26.4340	+	7.76171i	1.07826	+	0.316607i	0.772184	−	0.635399i	$-0.219164\pi$
$601$	26.4340	+	7.76171i	1.07826	+	0.316607i	0.306080	+	0.952006i	$0.400983\pi$
$602$	−1.27835			−0.0521016
$603$	−0.694765	−	0.606663i	−0.0282930	−	0.0247052i
$604$	−14.6712			−0.596962
$605$	0.443155	+	0.130122i	0.0180168	+	0.00529021i
$606$	−4.40270	+	30.6214i	−0.178847	+	1.24391i
$607$	−8.53212	−	5.48326i	−0.346308	−	0.222559i	0.355911	−	0.934520i	$-0.384171\pi$
$607$	−8.53212	−	5.48326i	−0.346308	−	0.222559i	−0.702219	+	0.711961i	$0.747807\pi$
$608$	2.77984	+	6.08700i	0.112737	+	0.246860i
$609$	2.08222	−	4.55942i	0.0843757	−	0.184757i
$610$	−9.55661	−	2.80608i	−0.386936	−	0.113615i
$611$	−1.98015	−	2.28521i	−0.0801082	−	0.0924497i
$612$	−0.644617	−	0.189277i	−0.0260571	−	0.00765106i
$613$	0.235430	+	1.63745i	0.00950892	+	0.0661360i	0.994023	−	0.109167i	$-0.0348185\pi$
$613$	0.235430	+	1.63745i	0.00950892	+	0.0661360i	−0.984514	+	0.175303i	$0.943909\pi$
$614$	10.3287	+	22.6167i	0.416833	+	0.912736i
$615$	−7.26239	+	8.38124i	−0.292848	+	0.337964i
$616$	−0.905889	+	1.04545i	−0.0364993	+	0.0421224i
$617$	−22.6606	−	14.5631i	−0.912280	−	0.586287i	−0.00187198	−	0.999998i	$-0.500596\pi$
$617$	−22.6606	−	14.5631i	−0.912280	−	0.586287i	−0.910408	+	0.413711i	$0.864232\pi$
$618$	−1.86605	+	0.547921i	−0.0750634	+	0.0220406i
$619$	11.9112	+	26.0819i	0.478752	+	1.04832i	0.982805	+	0.184647i	$0.0591143\pi$
$619$	11.9112	+	26.0819i	0.478752	+	1.04832i	−0.504053	+	0.863673i	$0.668158\pi$
$620$	−2.45910	+	1.58037i	−0.0987598	+	0.0634691i
$621$	22.3072	+	14.3360i	0.895157	+	0.575283i
$622$	−11.0822	+	3.25403i	−0.444356	+	0.130475i
$623$	0.965724	−	6.71676i	0.0386909	−	0.269101i
$624$	0.953955	−	2.08887i	0.0381888	−	0.0836218i
$625$	−0.142315	−	0.989821i	−0.00569259	−	0.0395929i
$626$	−3.01747	+	20.9869i	−0.120602	+	0.838807i
$627$	−32.2414	+	20.7203i	−1.28760	+	0.827488i
$628$	−12.1442	+	14.0151i	−0.484606	+	0.559265i
$629$	−37.0256	+	23.7949i	−1.47631	+	0.948766i
$630$	−0.0199474	+	0.0436788i	−0.000794725	+	0.00174020i
$631$	−25.2202	−	29.1057i	−1.00400	−	1.15868i	−0.987308	−	0.158817i	$-0.949232\pi$
$631$	−25.2202	−	29.1057i	−1.00400	−	1.15868i	−0.0166922	−	0.999861i	$-0.505314\pi$
$632$	−5.73118			−0.227974
$633$	−43.8645			−1.74346
$634$	11.8412	+	13.6655i	0.470274	+	0.542725i
$635$	0.376787	+	2.62061i	0.0149523	+	0.103996i
$636$	19.0915	−	5.60576i	0.757026	−	0.222283i
$637$	−8.51537	+	2.50034i	−0.337391	+	0.0990670i
$638$	3.08010	+	21.4225i	0.121942	+	0.848127i
$639$	1.05826	+	1.22130i	0.0418642	+	0.0483139i
$640$	−1.00000			−0.0395285
$641$	−22.7752			−0.899566			−0.449783	−	0.893138i	$-0.648499\pi$
$641$	−22.7752			−0.899566			−0.449783	+	0.893138i	$0.648499\pi$
$642$	−5.89667	−	6.80512i	−0.232723	−	0.268577i
$643$	1.70237	−	3.72768i	0.0671350	−	0.147005i	−0.873090	−	0.487559i	$-0.837887\pi$
$643$	1.70237	−	3.72768i	0.0671350	−	0.147005i	0.940225	+	0.340554i	$0.110615\pi$
$644$	1.86607	−	1.19925i	0.0735334	−	0.0472570i
$645$	3.46595	−	3.99992i	0.136472	−	0.157497i
$646$	33.5632	−	21.5698i	1.32053	−	0.848651i
$647$	−2.10165	+	14.6173i	−0.0826246	+	0.574666i	0.905887	+	0.423520i	$0.139206\pi$
$647$	−2.10165	+	14.6173i	−0.0826246	+	0.574666i	−0.988511	+	0.151147i	$0.951703\pi$
$648$	−1.32714	−	9.23043i	−0.0521348	−	0.362606i
$649$	8.11110	−	17.7608i	0.318388	−	0.697173i
$650$	−0.185237	+	1.28835i	−0.00726561	+	0.0505334i
$651$	−2.10864	+	0.619153i	−0.0826442	+	0.0242665i
$652$	20.8978	+	13.4302i	0.818422	+	0.525968i
$653$	−6.33655	+	4.07225i	−0.247968	+	0.159360i	−0.658721	−	0.752387i	$-0.728902\pi$
$653$	−6.33655	+	4.07225i	−0.247968	+	0.159360i	0.410753	+	0.911747i	$0.365266\pi$
$654$	−3.83217	−	8.39128i	−0.149850	−	0.328125i
$655$	9.58177	−	2.81346i	0.374391	−	0.109931i
$656$	−5.28798	−	3.39838i	−0.206461	−	0.132684i
$657$	0.526388	−	0.607484i	0.0205364	−	0.0237002i
$658$	−0.648281	+	0.748156i	−0.0252726	+	0.0291661i
$659$	−1.56322	−	3.42298i	−0.0608946	−	0.133341i	0.876738	−	0.480968i	$-0.159715\pi$
$659$	−1.56322	−	3.42298i	−0.0608946	−	0.133341i	−0.937633	+	0.347627i	$0.886987\pi$
$660$	−0.815079	−	5.66900i	−0.0317269	−	0.220665i
$661$	36.5896	+	10.7437i	1.42317	+	0.417880i	0.900575	−	0.434701i	$-0.143146\pi$
$661$	36.5896	+	10.7437i	1.42317	+	0.417880i	0.522594	+	0.852581i	$0.324964\pi$
$662$	1.10558	+	1.27591i	0.0429695	+	0.0495895i
$663$	−13.1367	−	3.85729i	−0.510188	−	0.149805i
$664$	4.13070	−	9.04496i	0.160302	−	0.351013i
$665$	−1.18458	−	2.59386i	−0.0459360	−	0.100586i
$666$	0.699784	+	0.449724i	0.0271161	+	0.0174264i
$667$	4.93900	−	34.3515i	0.191239	−	1.33010i
$668$	2.79999	+	0.822151i	0.108335	+	0.0318100i
$669$	−52.1391			−2.01581
$670$	−2.33596	+	7.84495i	−0.0902459	+	0.303077i
$671$	32.3329			1.24820
$672$	−0.721362	−	0.211811i	−0.0278272	−	0.00817079i
$673$	1.68794	−	11.7399i	0.0650654	−	0.452540i	−0.931079	−	0.364816i	$-0.881132\pi$
$673$	1.68794	−	11.7399i	0.0650654	−	0.452540i	0.996145	−	0.0877234i	$-0.0279592\pi$
$674$	−16.8247	−	10.8126i	−0.648063	−	0.416485i
$675$	2.11614	+	4.63370i	0.0814502	+	0.178351i
$676$	−4.69661	+	10.2841i	−0.180639	+	0.395544i
$677$	0.0422405	+	0.0124029i	0.00162343	+	0.000476683i	0.282544	−	0.959254i	$-0.408822\pi$
$677$	0.0422405	+	0.0124029i	0.00162343	+	0.000476683i	−0.280921	+	0.959731i	$0.590640\pi$
$678$	12.0088	+	13.8589i	0.461197	+	0.532249i
$679$	−0.194406	−	0.0570829i	−0.00746063	−	0.00219064i
$680$	0.848495	+	5.90141i	0.0325383	+	0.226309i
$681$	15.2787	+	33.4557i	0.585481	+	1.28202i
$682$	6.21413	−	7.17149i	0.237951	−	0.274610i
$683$	−23.6658	+	27.3117i	−0.905545	+	1.04505i	0.0932338	+	0.995644i	$0.470280\pi$
$683$	−23.6658	+	27.3117i	−0.905545	+	1.04505i	−0.998779	+	0.0494101i	$0.984266\pi$
$684$	−0.634344	−	0.407668i	−0.0242548	−	0.0155876i
$685$	2.21764	−	0.651158i	0.0847316	−	0.0248795i
$686$	2.44616	+	5.35634i	0.0933947	+	0.204506i
$687$	−35.5776	+	22.8643i	−1.35737	+	0.872329i
$688$	2.52367	+	1.62186i	0.0962140	+	0.0618330i
$689$	14.0848	−	4.13566i	0.536587	−	0.157556i
$690$	−1.30700	+	9.09035i	−0.0497565	+	0.346064i
$691$	−13.0778	+	28.6364i	−0.497504	+	1.08938i	0.479769	+	0.877395i	$0.340720\pi$
$691$	−13.0778	+	28.6364i	−0.497504	+	1.08938i	−0.977273	+	0.211986i	$0.932007\pi$
$692$	−0.663191	−	4.61260i	−0.0252108	−	0.175345i
$693$	0.0221839	−	0.154292i	0.000842695	−	0.00586107i
$694$	9.76451	−	6.27527i	0.370656	−	0.238206i
$695$	−8.21047	+	9.47539i	−0.311441	+	0.359422i
$696$	−9.89525	+	6.35929i	−0.375078	+	0.241048i
$697$	−15.5684	+	34.0901i	−0.589696	+	1.29125i
$698$	17.9835	+	20.7541i	0.680686	+	0.785553i
$699$	−9.48973			−0.358935
$700$	0.426132			0.0161063
$701$	−2.32968	−	2.68859i	−0.0879907	−	0.101547i	0.710047	−	0.704155i	$-0.248674\pi$
$701$	−2.32968	−	2.68859i	−0.0879907	−	0.101547i	−0.798037	+	0.602608i	$0.794128\pi$
$702$	−0.943606	−	6.56292i	−0.0356141	−	0.247701i
$703$	−47.3975	+	13.9172i	−1.78763	+	0.524896i
$704$	3.11475	−	0.914574i	0.117392	−	0.0344693i
$705$	−0.583294	−	4.05690i	−0.0219681	−	0.152792i
$706$	−16.6829	−	19.2531i	−0.627869	−	0.724600i
$707$	7.47214			0.281019
$708$	10.6117			0.398810
$709$	28.6717	+	33.0890i	1.07679	+	1.24268i	0.968619	+	0.248550i	$0.0799539\pi$
$709$	28.6717	+	33.0890i	1.07679	+	1.24268i	0.108171	+	0.994132i	$0.465501\pi$
$710$	5.95753	−	13.0452i	0.223582	−	0.489576i
$711$	0.543290	−	0.349151i	0.0203750	−	0.0130942i
$712$	−10.4282	+	12.0347i	−0.390812	+	0.451021i
$713$	−12.8007	+	8.22649i	−0.479389	+	0.308085i
$714$	−0.637912	+	4.43678i	−0.0238733	+	0.166042i
$715$	−0.601327	−	4.18232i	−0.0224883	−	0.156410i
$716$	−2.67252	+	5.85200i	−0.0998767	+	0.218700i
$717$	−3.37220	+	23.4541i	−0.125937	+	0.875911i
$718$	−10.4242	+	3.06083i	−0.389029	+	0.114229i
$719$	16.7588	+	10.7703i	0.625000	+	0.401663i	0.814455	−	0.580226i	$-0.197036\pi$
$719$	16.7588	+	10.7703i	0.625000	+	0.401663i	−0.189456	+	0.981889i	$0.560672\pi$
$720$	0.0947955	−	0.0609214i	0.00353282	−	0.00227041i
$721$	0.195137	+	0.427291i	0.00726728	+	0.0159131i
$722$	24.7348	−	7.26279i	0.920534	−	0.270293i
$723$	−38.9737	−	25.0469i	−1.44945	−	0.931503i
$724$	7.13847	−	8.23824i	0.265299	−	0.306172i
$725$	4.36598	−	5.03860i	0.162148	−	0.187129i
$726$	−0.338504	−	0.741219i	−0.0125630	−	0.0275092i
$727$	−0.272961	−	1.89848i	−0.0101236	−	0.0704109i	0.984133	−	0.177430i	$-0.0567784\pi$
$727$	−0.272961	−	1.89848i	−0.0101236	−	0.0704109i	−0.994257	+	0.107019i	$0.965869\pi$
$728$	−0.532187	−	0.156264i	−0.0197242	−	0.00579154i
$729$	−16.9682	−	19.5823i	−0.628450	−	0.725270i
$730$	−6.84444	−	2.00971i	−0.253324	−	0.0743827i
$731$	7.42997	−	16.2694i	0.274807	−	0.601744i
$732$	7.29982	+	15.9844i	0.269809	+	0.590799i
$733$	12.7393	+	8.18704i	0.470536	+	0.302395i	0.754336	−	0.656488i	$-0.227959\pi$
$733$	12.7393	+	8.18704i	0.470536	+	0.302395i	−0.283800	+	0.958883i	$0.591595\pi$
$734$	1.77282	−	12.3302i	0.0654360	−	0.455117i
$735$	−11.5423	−	3.38913i	−0.425744	−	0.125010i
$736$	−5.20543			−0.191875
$737$	0.101142	−	26.5715i	0.00372563	−	0.978774i
$738$	0.708310			0.0260733
$739$	23.6581	+	6.94664i	0.870277	+	0.255536i	0.686233	−	0.727382i	$-0.259263\pi$
$739$	23.6581	+	6.94664i	0.870277	+	0.255536i	0.184044	+	0.982918i	$0.441081\pi$
$740$	1.05057	−	7.30690i	0.0386198	−	0.268607i
$741$	−12.9274	−	8.30792i	−0.474899	−	0.305199i
$742$	−1.99644	−	4.37159i	−0.0732916	−	0.160486i
$743$	17.5568	−	38.4440i	0.644096	−	1.41037i	−0.252531	−	0.967589i	$-0.581263\pi$
$743$	17.5568	−	38.4440i	0.644096	−	1.41037i	0.896628	−	0.442786i	$-0.146010\pi$
$744$	4.94833	+	1.45296i	0.181415	+	0.0532681i
$745$	−4.43061	−	5.11319i	−0.162325	−	0.187333i
$746$	11.0171	+	3.23491i	0.403365	+	0.118439i
$747$	0.159460	+	1.10907i	0.00583434	+	0.0405787i
$748$	−8.04014	−	17.6054i	−0.293976	−	0.643719i
$749$	−1.42424	+	1.64366i	−0.0520406	+	0.0600581i
$750$	−1.15536	+	1.33335i	−0.0421877	+	0.0486872i
$751$	−24.9544	−	16.0372i	−0.910600	−	0.585207i	−0.000684123	−	1.00000i	$-0.500218\pi$
$751$	−24.9544	−	16.0372i	−0.910600	−	0.585207i	−0.909916	+	0.414793i	$0.863854\pi$
$752$	2.22901	−	0.654496i	0.0812836	−	0.0238670i
$753$	9.39019	+	20.5617i	0.342198	+	0.749308i
$754$	−7.30025	+	4.69159i	−0.265859	+	0.170857i
$755$	−12.3422	−	7.93184i	−0.449178	−	0.288669i
$756$	−2.08280	+	0.611566i	−0.0757507	+	0.0222424i
$757$	1.70075	−	11.8290i	0.0618148	−	0.429931i	−0.935289	−	0.353884i	$-0.884861\pi$
$757$	1.70075	−	11.8290i	0.0618148	−	0.429931i	0.997104	−	0.0760475i	$-0.0242300\pi$
$758$	1.50354	−	3.29230i	0.0546112	−	0.119582i
$759$	−4.24283	−	29.5096i	−0.154005	−	1.07113i
$760$	−0.952330	+	6.62360i	−0.0345446	+	0.240263i
$761$	−42.5191	+	27.3254i	−1.54132	+	0.990544i	−0.553868	+	0.832605i	$0.686849\pi$
$761$	−42.5191	+	27.3254i	−1.54132	+	0.990544i	−0.987449	+	0.157940i	$0.949515\pi$
$762$	3.05888	−	3.53014i	0.110812	−	0.127883i
$763$	−1.87442	+	1.20461i	−0.0678584	+	0.0436100i
$764$	1.68504	−	3.68972i	0.0609625	−	0.133489i
$765$	−0.439956	−	0.507736i	−0.0159066	−	0.0183572i
$766$	21.7255			0.784973
$767$	7.82878			0.282681
$768$	1.15536	+	1.33335i	0.0416904	+	0.0481133i
$769$	3.88595	+	27.0274i	0.140131	+	0.974631i	0.931616	+	0.363443i	$0.118399\pi$
$769$	3.88595	+	27.0274i	0.140131	+	0.974631i	−0.791485	+	0.611188i	$0.790692\pi$
$770$	−1.32730	+	0.389729i	−0.0478324	+	0.0140449i
$771$	32.7507	−	9.61647i	1.17949	−	0.346329i
$772$	1.77283	+	12.3303i	0.0638056	+	0.443778i
$773$	−9.90723	−	11.4336i	−0.356338	−	0.411236i	0.549071	−	0.835776i	$-0.314982\pi$
$773$	−9.90723	−	11.4336i	−0.356338	−	0.411236i	−0.905410	+	0.424539i	$0.860436\pi$
$774$	−0.338039			−0.0121505
$775$	−2.92314			−0.105002
$776$	0.311368	+	0.359338i	0.0111775	+	0.0128995i
$777$	2.30553	−	5.04840i	0.0827103	−	0.181110i
$778$	29.0163	−	18.6476i	1.04028	−	0.668550i
$779$	−27.5454	+	31.7891i	−0.986917	+	1.13896i
$780$	1.93185	−	1.24152i	0.0691712	−	0.0444537i
$781$	−6.62546	+	46.0811i	−0.237078	+	1.64891i
$782$	4.41678	+	30.7194i	0.157944	+	1.09852i
$783$	−14.1084	+	30.8930i	−0.504192	+	1.10403i
$784$	0.970361	−	6.74901i	0.0346558	−	0.241036i
$785$	−17.7935	+	5.22464i	−0.635077	+	0.186475i
$786$	−14.8217	−	9.52533i	−0.528673	−	0.339757i
$787$	−7.96052	+	5.11592i	−0.283762	+	0.182363i	−0.674777	−	0.738021i	$-0.735760\pi$
$787$	−7.96052	+	5.11592i	−0.283762	+	0.182363i	0.391015	+	0.920384i	$0.372124\pi$
$788$	−6.83971	−	14.9769i	−0.243655	−	0.533529i
$789$	22.8433	−	6.70741i	0.813244	−	0.238790i
$790$	−4.82138	−	3.09851i	−0.171537	−	0.110240i
$791$	2.90053	−	3.34739i	0.103131	−	0.119020i
$792$	−0.239547	+	0.276453i	−0.00851195	+	0.00982331i
$793$	5.38546	+	11.7925i	0.191243	+	0.418764i
$794$	−2.72320	−	18.9403i	−0.0966427	−	0.672165i
$795$	19.0915	+	5.60576i	0.677104	+	0.198816i
$796$	2.79608	+	3.22684i	0.0991043	+	0.114372i
$797$	18.8699	+	5.54071i	0.668407	+	0.196262i	0.598294	−	0.801277i	$-0.295846\pi$
$797$	18.8699	+	5.54071i	0.668407	+	0.196262i	0.0701135	+	0.997539i	$0.477664\pi$
$798$	−2.08993	+	4.57630i	−0.0739826	+	0.161999i
$799$	−5.75376	−	12.5990i	−0.203553	−	0.445719i
$800$	−0.841254	−	0.540641i	−0.0297428	−	0.0191145i
$801$	0.255370	−	1.77614i	0.00902305	−	0.0627567i
$802$	−13.3079	−	3.90756i	−0.469920	−	0.137981i
$803$	23.1568			0.817185
$804$	13.1590	−	5.94907i	0.464081	−	0.209807i
$805$	2.21820			0.0781813
$806$	3.65064	+	1.07193i	0.128588	+	0.0377570i
$807$	0.903275	−	6.28241i	0.0317968	−	0.221151i
$808$	−14.7512	−	9.48003i	−0.518946	−	0.333506i
$809$	11.9753	+	26.2223i	0.421030	+	0.921927i	0.994698	+	0.102839i	$0.0327928\pi$
$809$	11.9753	+	26.2223i	0.421030	+	0.921927i	−0.573668	+	0.819088i	$0.694480\pi$
$810$	3.87389	−	8.48264i	0.136115	−	0.298050i
$811$	−14.0773	−	4.13346i	−0.494320	−	0.145146i	0.0250648	−	0.999686i	$-0.492021\pi$
$811$	−14.0773	−	4.13346i	−0.494320	−	0.145146i	−0.519385	+	0.854540i	$0.673839\pi$
$812$	1.86048	+	2.14711i	0.0652901	+	0.0753488i
$813$	−15.8577	−	4.65625i	−0.556155	−	0.163302i
$814$	3.41042	+	23.7200i	0.119535	+	0.831386i
$815$	10.3194	+	22.5964i	0.361474	+	0.791518i
$816$	6.88836	−	7.94959i	0.241141	−	0.278291i
$817$	13.1459	−	15.1712i	0.459918	−	0.530774i
$818$	1.97031	+	1.26624i	0.0688904	+	0.0442732i
$819$	0.0599688	−	0.0176084i	0.00209548	−	0.000615288i
$820$	−2.61123	−	5.71780i	−0.0911881	−	0.199674i
$821$	28.1059	−	18.0625i	0.980901	−	0.630387i	0.0511950	−	0.998689i	$-0.483697\pi$
$821$	28.1059	−	18.0625i	0.980901	−	0.630387i	0.929706	+	0.368302i	$0.120061\pi$
$822$	−3.43039	−	2.20458i	−0.119649	−	0.0768935i
$823$	14.9158	−	4.37967i	0.519932	−	0.152666i	−0.0112285	−	0.999937i	$-0.503574\pi$
$823$	14.9158	−	4.37967i	0.519932	−	0.152666i	0.531161	+	0.847271i	$0.321756\pi$
$824$	0.156879	−	1.09111i	0.00546512	−	0.0380108i
$825$	2.37920	−	5.20973i	0.0828332	−	0.181379i
$826$	−0.364762	−	2.53698i	−0.0126917	−	0.0882727i
$827$	−4.27386	+	29.7254i	−0.148617	+	1.03365i	0.769870	+	0.638201i	$0.220321\pi$
$827$	−4.27386	+	29.7254i	−0.148617	+	1.03365i	−0.918487	+	0.395451i	$0.870588\pi$
$828$	0.493451	−	0.317122i	0.0171486	−	0.0110207i
$829$	−1.51202	+	1.74496i	−0.0525146	+	0.0606051i	−0.781399	−	0.624032i	$-0.785494\pi$
$829$	−1.51202	+	1.74496i	−0.0525146	+	0.0606051i	0.728885	+	0.684637i	$0.240039\pi$
$830$	8.36504	−	5.37588i	0.290355	−	0.186600i
$831$	9.42586	−	20.6397i	0.326979	−	0.715985i
$832$	0.852368	+	0.983686i	0.0295506	+	0.0341032i
$833$	−40.6521			−1.40851
$834$	22.1201			0.765956
$835$	1.91101	+	2.20543i	0.0661333	+	0.0763220i
$836$	−3.09150	−	21.5019i	−0.106922	−	0.743658i
$837$	14.2874	−	4.19516i	0.493845	−	0.145006i
$838$	−22.4849	+	6.60215i	−0.776727	+	0.228068i
$839$	2.83507	+	19.7183i	0.0978774	+	0.680752i	0.978396	+	0.206740i	$0.0662855\pi$
$839$	2.83507	+	19.7183i	0.0978774	+	0.680752i	−0.880518	+	0.474012i	$0.842805\pi$
$840$	−0.492335	−	0.568185i	−0.0169872	−	0.0196042i
$841$	15.4493			0.532734
$842$	18.4446			0.635645
$843$	−9.17267	−	10.5858i	−0.315924	−	0.364595i
$844$	10.3283	−	22.6158i	0.355514	−	0.778468i
$845$	−9.51107	+	6.11239i	−0.327191	+	0.210273i
$846$	−0.171427	+	0.197838i	−0.00589379	+	0.00680179i
$847$	−0.165571	+	0.106406i	−0.00568909	+	0.00365616i
$848$	−1.60502	+	11.1631i	−0.0551166	+	0.383344i
$849$	−4.45355	−	30.9751i	−0.152845	−	1.06306i
$850$	−2.47675	+	5.42332i	−0.0849517	+	0.186018i
$851$	5.46868	−	38.0355i	0.187464	−	1.30384i
$852$	−24.2769	+	7.12834i	−0.831713	+	0.244213i
$853$	27.2157	+	17.4905i	0.931848	+	0.598862i	0.916072	−	0.401013i	$-0.131342\pi$
$853$	27.2157	+	17.4905i	0.931848	+	0.598862i	0.0157759	+	0.999876i	$0.494978\pi$
$854$	3.57053	−	2.29464i	0.122181	−	0.0785211i
$855$	−0.313242	−	0.685905i	−0.0107127	−	0.0234575i
$856$	4.89702	−	1.43790i	0.167377	−	0.0491463i
$857$	−12.2797	−	7.89168i	−0.419467	−	0.269575i	0.313836	−	0.949477i	$-0.398386\pi$
$857$	−12.2797	−	7.89168i	−0.419467	−	0.269575i	−0.733303	+	0.679902i	$0.762022\pi$
$858$	−4.88176	+	5.63386i	−0.166661	+	0.192337i
$859$	21.3846	−	24.6791i	0.729633	−	0.842041i	−0.262797	−	0.964851i	$-0.584645\pi$
$859$	21.3846	−	24.6791i	0.729633	−	0.842041i	0.992430	+	0.122810i	$0.0391905\pi$
$860$	1.24620	+	2.72880i	0.0424951	+	0.0930512i
$861$	−0.672550	−	4.67769i	−0.0229204	−	0.159415i
$862$	5.07805	+	1.49105i	0.172959	+	0.0507854i
$863$	−28.8308	−	33.2725i	−0.981412	−	1.13261i	−0.991162	−	0.132658i	$-0.957649\pi$
$863$	−28.8308	−	33.2725i	−0.981412	−	1.13261i	0.00974942	−	0.999952i	$-0.496897\pi$
$864$	4.88769	+	1.43516i	0.166283	+	0.0488250i
$865$	1.93585	−	4.23891i	0.0658207	−	0.144127i
$866$	−1.40948	−	3.08632i	−0.0478960	−	0.104878i
$867$	−27.5271	−	17.6906i	−0.934868	−	0.600803i
$868$	0.177273	−	1.23296i	0.00601705	−	0.0418495i
$869$	17.8512	+	5.24159i	0.605561	+	0.177809i
$870$	−11.7625			−0.398786
$871$	9.70807	−	4.38894i	0.328945	−	0.148714i
$872$	5.22872			0.177067
$873$	−0.0514076	−	0.0150946i	−0.00173988	−	0.000510876i
$874$	−4.95729	+	34.4787i	−0.167683	+	1.16626i
$875$	0.358485	+	0.230384i	0.0121190	+	0.00778841i
$876$	5.22813	+	11.4480i	0.176642	+	0.386792i
$877$	16.2301	−	35.5389i	0.548051	−	1.20006i	−0.409635	−	0.912250i	$-0.634344\pi$
$877$	16.2301	−	35.5389i	0.548051	−	1.20006i	0.957686	−	0.287815i	$-0.0929289\pi$
$878$	−30.1299	−	8.84695i	−1.01684	−	0.298570i
$879$	−7.46581	−	8.61600i	−0.251816	−	0.290611i
$880$	3.11475	+	0.914574i	0.104998	+	0.0308303i
$881$	8.16894	+	56.8162i	0.275219	+	1.91419i	0.390033	+	0.920801i	$0.372464\pi$
$881$	8.16894	+	56.8162i	0.275219	+	1.91419i	−0.114814	+	0.993387i	$0.536627\pi$
$882$	0.319173	+	0.698891i	0.0107471	+	0.0235329i
$883$	−19.1410	+	22.0898i	−0.644144	+	0.743382i	−0.980102	−	0.198495i	$-0.936395\pi$
$883$	−19.1410	+	22.0898i	−0.644144	+	0.743382i	0.335958	+	0.941877i	$0.390940\pi$
$884$	5.08191	−	5.86483i	0.170923	−	0.197256i
$885$	8.92709	+	5.73709i	0.300081	+	0.192850i
$886$	−13.7506	+	4.03754i	−0.461960	+	0.135644i
$887$	−5.61066	−	12.2856i	−0.188388	−	0.412511i	0.791746	−	0.610851i	$-0.209172\pi$
$887$	−5.61066	−	12.2856i	−0.188388	−	0.412511i	−0.980133	+	0.198340i	$0.936445\pi$
$888$	−10.9565	+	7.04129i	−0.367675	+	0.236290i
$889$	−0.949111	−	0.609957i	−0.0318322	−	0.0204573i
$890$	−15.2792	+	4.48638i	−0.512160	+	0.150384i
$891$	−4.30822	+	29.9643i	−0.144331	+	1.00384i
$892$	12.2766	−	26.8820i	0.411051	−	0.900076i
$893$	−2.21237	−	15.3874i	−0.0740341	−	0.514918i
$894$	−1.69876	+	11.8151i	−0.0568150	+	0.395157i
$895$	−5.41210	+	3.47814i	−0.180906	+	0.116261i
$896$	0.279057	−	0.322049i	0.00932264	−	0.0107589i
$897$	10.0561	−	6.46266i	0.335763	−	0.215782i
$898$	12.0337	−	26.3500i	0.401568	−	0.879312i
$899$	−12.7624	−	14.7285i	−0.425648	−	0.491224i
$900$	0.112684			0.00375612
$901$	67.2402			2.24010
$902$	13.3627	+	15.4214i	0.444929	+	0.513475i
$903$	0.320972	+	2.23241i	0.0106813	+	0.0742899i
$904$	−9.97301	+	2.92834i	−0.331697	+	0.0973952i
$905$	10.4592	−	3.07110i	0.347675	−	0.102087i
$906$	3.68369	+	25.6206i	0.122382	+	0.851188i
$907$	−8.00637	−	9.23984i	−0.265847	−	0.306804i	0.607094	−	0.794630i	$-0.292335\pi$
$907$	−8.00637	−	9.23984i	−0.265847	−	0.306804i	−0.872941	+	0.487827i	$0.837790\pi$
$908$	−20.8467			−0.691821
$909$	1.97589			0.0655360
$910$	−0.363221	−	0.419180i	−0.0120407	−	0.0138957i
$911$	19.8889	−	43.5506i	0.658949	−	1.44290i	−0.224549	−	0.974463i	$-0.572091\pi$
$911$	19.8889	−	43.5506i	0.658949	−	1.44290i	0.883498	−	0.468434i	$-0.155182\pi$
$912$	9.93189	−	6.38284i	0.328878	−	0.211357i
$913$	−21.1384	+	24.3950i	−0.699579	+	0.807357i
$914$	21.8762	−	14.0590i	0.723600	−	0.465030i
$915$	−2.50081	+	17.3935i	−0.0826741	+	0.575011i
$916$	−3.41140	−	23.7268i	−0.112716	−	0.783955i
$917$	−1.76779	+	3.87092i	−0.0583775	+	0.127829i
$918$	4.32226	−	30.0620i	0.142656	−	0.992194i
$919$	4.48249	−	1.31618i	0.147864	−	0.0434167i	−0.206963	−	0.978349i	$-0.566358\pi$
$919$	4.48249	−	1.31618i	0.147864	−	0.0434167i	0.354827	+	0.934932i	$0.384540\pi$
$920$	−4.37908	−	2.81427i	−0.144374	−	0.0927836i
$921$	36.9027	−	23.7159i	1.21599	−	0.781466i
$922$	−6.04766	−	13.2425i	−0.199169	−	0.436120i
$923$	−17.9104	+	5.25896i	−0.589527	+	0.173101i
$924$	2.05315	+	1.31948i	0.0675436	+	0.0434077i
$925$	4.83420	−	5.57897i	0.158948	−	0.183435i
$926$	15.3030	−	17.6606i	0.502887	−	0.580363i
$927$	0.0516008	+	0.112990i	0.00169479	+	0.00371108i
$928$	−0.948817	−	6.59917i	−0.0311465	−	0.216628i
$929$	23.1395	+	6.79438i	0.759184	+	0.222917i	0.638340	−	0.769755i	$-0.279622\pi$
$929$	23.1395	+	6.79438i	0.759184	+	0.222917i	0.120844	+	0.992671i	$0.461440\pi$
$930$	3.37727	+	3.89758i	0.110745	+	0.127807i
$931$	−43.7787	−	12.8546i	−1.43479	−	0.421292i
$932$	2.23444	−	4.89274i	0.0731915	−	0.160267i
$933$	8.46513	+	18.5361i	0.277136	+	0.606843i
$934$	−21.7869	−	14.0016i	−0.712890	−	0.458147i
$935$	2.75443	−	19.1575i	0.0900794	−	0.626516i
$936$	−0.140728	−	0.0413215i	−0.00459984	−	0.00135064i
$937$	−26.9804			−0.881410			−0.440705	−	0.897652i	$-0.645272\pi$
$937$	−26.9804			−0.881410			−0.440705	+	0.897652i	$0.645272\pi$
$938$	−1.87459	−	2.94148i	−0.0612077	−	0.0960428i
$939$	37.4076			1.22075
$940$	2.22901	+	0.654496i	0.0727022	+	0.0213473i
$941$	8.38342	−	58.3080i	0.273292	−	1.90079i	−0.139941	−	0.990160i	$-0.544691\pi$
$941$	8.38342	−	58.3080i	0.273292	−	1.90079i	0.413233	−	0.910625i	$-0.364400\pi$
$942$	27.5241	+	17.6887i	0.896785	+	0.576329i
$943$	−13.5926	−	29.7636i	−0.442635	−	0.969235i
$944$	−2.49861	+	5.47118i	−0.0813227	+	0.178072i
$945$	−2.08280	−	0.611566i	−0.0677535	−	0.0198942i
$946$	−6.37729	−	7.35979i	−0.207344	−	0.239287i
$947$	−48.7989	−	14.3287i	−1.58575	−	0.465619i	−0.634216	−	0.773156i	$-0.718677\pi$
$947$	−48.7989	−	14.3287i	−1.58575	−	0.465619i	−0.951536	+	0.307537i	$0.900495\pi$
$948$	1.43900	+	10.0085i	0.0467367	+	0.325061i
$949$	3.85706	+	8.44579i	0.125206	+	0.274162i
$950$	−4.38214	+	5.05726i	−0.142175	+	0.164079i
$951$	20.8912	−	24.1097i	0.677443	−	0.781811i
$952$	−2.13732	−	1.37357i	−0.0692711	−	0.0445178i
$953$	11.5699	−	3.39722i	0.374785	−	0.110047i	−0.0889147	−	0.996039i	$-0.528340\pi$
$953$	11.5699	−	3.39722i	0.374785	−	0.110047i	0.463700	+	0.885992i	$0.346522\pi$
$954$	−0.527926	−	1.15600i	−0.0170922	−	0.0374268i
$955$	3.41236	−	2.19299i	0.110421	−	0.0709634i
$956$	−11.2985	−	7.26113i	−0.365421	−	0.234842i
$957$	36.6373	−	10.7577i	1.18432	−	0.347747i
$958$	−0.812673	+	5.65227i	−0.0262563	+	0.182616i
$959$	−0.409143	+	0.895899i	−0.0132119	+	0.0289301i
$960$	0.251083	+	1.74632i	0.00810368	+	0.0563623i
$961$	3.19572	−	22.2267i	0.103088	−	0.716990i
$962$	−8.08316	+	5.19473i	−0.260612	+	0.167485i
$963$	−0.376617	+	0.434639i	−0.0121363	+	0.0140061i
$964$	22.0904	−	14.1966i	0.711484	−	0.457243i
$965$	−5.17487	+	11.3314i	−0.166585	+	0.364770i
$966$	−2.56281	−	2.95764i	−0.0824572	−	0.0951606i
$967$	−35.0151			−1.12601			−0.563004	−	0.826454i	$-0.690355\pi$
$967$	−35.0151			−1.12601			−0.563004	+	0.826454i	$0.690355\pi$
$968$	0.461863			0.0148449
$969$	−46.0949	−	53.1964i	−1.48078	−	1.70891i
$970$	0.0676667	+	0.470632i	0.00217265	+	0.0151111i
$971$	−10.4413	+	3.06584i	−0.335077	+	0.0983875i	−0.444943	−	0.895559i	$-0.646776\pi$
$971$	−10.4413	+	3.06584i	−0.335077	+	0.0983875i	0.109866	+	0.993946i	$0.464958\pi$
$972$	−1.12302	+	0.329748i	−0.0360209	+	0.0105767i
$973$	−0.760350	−	5.28835i	−0.0243757	−	0.169537i
$974$	15.2602	+	17.6112i	0.488967	+	0.564298i
$975$	2.29639			0.0735434
$976$	−9.96007			−0.318814
$977$	32.5286	+	37.5400i	1.04068	+	1.20101i	0.979199	+	0.202904i	$0.0650381\pi$
$977$	32.5286	+	37.5400i	1.04068	+	1.20101i	0.0614847	+	0.998108i	$0.480416\pi$
$978$	18.2064	−	39.8664i	0.582176	−	1.27479i
$979$	43.4878	−	27.9479i	1.38988	−	0.893219i
$980$	4.46511	−	5.15301i	0.142633	−	0.164607i
$981$	−0.495659	+	0.318541i	−0.0158252	+	0.0101702i
$982$	0.656750	−	4.56780i	0.0209577	−	0.145764i
$983$	−2.37055	−	16.4876i	−0.0756089	−	0.525871i	−0.992064	−	0.125734i	$-0.959871\pi$
$983$	−2.37055	−	16.4876i	−0.0756089	−	0.525871i	0.916455	−	0.400138i	$-0.131038\pi$
$984$	−4.60694	+	10.0878i	−0.146864	+	0.321587i
$985$	2.34318	−	16.2972i	0.0746600	−	0.519271i
$986$	−38.1394	+	11.1987i	−1.21460	+	0.356640i
$987$	1.46929	+	0.944257i	0.0467681	+	0.0300560i
$988$	7.32728	−	4.70896i	0.233112	−	0.149812i
$989$	6.48700	+	14.2046i	0.206275	+	0.451679i
$990$	−0.350982	+	0.103058i	−0.0111549	+	0.00327538i
$991$	19.8598	+	12.7631i	0.630866	+	0.405433i	0.816630	−	0.577162i	$-0.195840\pi$
$991$	19.8598	+	12.7631i	0.630866	+	0.405433i	−0.185764	+	0.982594i	$0.559476\pi$
$992$	−1.91425	+	2.20916i	−0.0607774	+	0.0701409i
$993$	1.95055	−	2.25105i	0.0618988	−	0.0714350i
$994$	2.53869	+	5.55896i	0.0805225	+	0.176320i
$995$	0.607645	+	4.22627i	0.0192636	+	0.133982i
$996$	−16.8326	−	4.94249i	−0.533360	−	0.156609i
$997$	0.167910	+	0.193778i	0.00531775	+	0.00613701i	0.758402	−	0.651787i	$-0.225980\pi$
$997$	0.167910	+	0.193778i	0.00531775	+	0.00613701i	−0.753084	+	0.657924i	$0.771435\pi$
$998$	−11.5965	−	3.40503i	−0.367080	−	0.107784i
$999$	−15.6214	+	34.2061i	−0.494239	+	1.08223i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	670.2.k.c.131.5	✓	50
67.22	even	11	inner	670.2.k.c.491.5	yes	50

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
670.2.k.c.131.5	✓	50	1.1	even	1	trivial
670.2.k.c.491.5	yes	50	67.22	even	11	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:	\( N \)	\(=\)	\( 670 = 2 \cdot 5 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	670.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959493 + 0.281733i) q^{2} +(0.251083 - 1.74632i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.732908 - 1.60485i) q^{6} +(-0.408871 - 0.120055i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.108119 - 0.0317466i) q^{9} +O(q^{10})\)	\(q+(0.959493 + 0.281733i) q^{2} +(0.251083 - 1.74632i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.732908 - 1.60485i) q^{6} +(-0.408871 - 0.120055i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.108119 - 0.0317466i) q^{9} +(0.142315 + 0.989821i) q^{10} +(-1.34854 - 2.95289i) q^{11} +(1.15536 - 1.33335i) q^{12} +(0.852368 - 0.983686i) q^{13} +(-0.358485 - 0.230384i) q^{14} +(1.69281 - 0.497055i) q^{15} +(0.415415 + 0.909632i) q^{16} +(5.01564 - 3.22335i) q^{17} +(-0.0947955 - 0.0609214i) q^{18} +(6.42065 - 1.88527i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(-0.312316 + 0.683876i) q^{21} +(-0.461989 - 3.21321i) q^{22} +(-0.740810 + 5.15244i) q^{23} +(1.48421 - 0.953842i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(1.09498 - 0.703700i) q^{26} +(2.11614 - 4.63370i) q^{27} +(-0.279057 - 0.322049i) q^{28} -6.66703 q^{29} +1.76428 q^{30} +(1.91425 + 2.20916i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-5.49530 + 1.61356i) q^{33} +(5.72059 - 1.67972i) q^{34} +(-0.0606449 - 0.421795i) q^{35} +(-0.0737921 - 0.0851606i) q^{36} -7.38203 q^{37} +6.69171 q^{38} +(-1.50382 - 1.73550i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-5.28798 + 3.39838i) q^{41} +(-0.492335 + 0.568185i) q^{42} +(2.52367 - 1.62186i) q^{43} +(0.461989 - 3.21321i) q^{44} +(-0.0160366 - 0.111537i) q^{45} +(-2.16241 + 4.73502i) q^{46} +(0.330613 - 2.29946i) q^{47} +(1.69281 - 0.497055i) q^{48} +(-5.73601 - 3.68631i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(-4.36967 - 9.56825i) q^{51} +(1.24888 - 0.366704i) q^{52} +(9.48761 + 6.09732i) q^{53} +(3.33588 - 3.84981i) q^{54} +(2.12584 - 2.45335i) q^{55} +(-0.177022 - 0.387623i) q^{56} +(-1.68018 - 11.6859i) q^{57} +(-6.39697 - 1.87832i) q^{58} +(3.93880 + 4.54562i) q^{59} +(1.69281 + 0.497055i) q^{60} +(-4.13756 + 9.06000i) q^{61} +(1.21432 + 2.65898i) q^{62} +(0.0403954 + 0.0259605i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(1.24888 + 0.366704i) q^{65} -5.72729 q^{66} +(7.43266 + 3.42863i) q^{67} +5.96210 q^{68} +(8.81182 + 2.58738i) q^{69} +(0.0606449 - 0.421795i) q^{70} +(-12.0645 - 7.75341i) q^{71} +(-0.0468105 - 0.102501i) q^{72} +(-2.96332 + 6.48876i) q^{73} +(-7.08301 - 2.07976i) q^{74} +(1.15536 + 1.33335i) q^{75} +(6.42065 + 1.88527i) q^{76} +(0.196868 + 1.36925i) q^{77} +(-0.953955 - 2.08887i) q^{78} +(-3.75313 + 4.33134i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(-7.84499 - 5.04167i) q^{81} +(-6.03121 + 1.77092i) q^{82} +(-4.13070 - 9.04496i) q^{83} +(-0.632468 + 0.406462i) q^{84} +(5.01564 + 3.22335i) q^{85} +(2.87837 - 0.845167i) q^{86} +(-1.67398 + 11.6428i) q^{87} +(1.34854 - 2.95289i) q^{88} +(2.26626 + 15.7622i) q^{89} +(0.0160366 - 0.111537i) q^{90} +(-0.466605 + 0.299869i) q^{91} +(-3.40883 + 3.93400i) q^{92} +(4.33854 - 2.78821i) q^{93} +(0.965055 - 2.11318i) q^{94} +(4.38214 + 5.05726i) q^{95} +1.76428 q^{96} +0.475472 q^{97} +(-4.46511 - 5.15301i) q^{98} +(0.0520586 + 0.362076i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9}+O(q^{10}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9} + 5 q^{10} - 12 q^{11} - 2 q^{12} + 24 q^{13} + 23 q^{14} - 2 q^{15} - 5 q^{16} + 31 q^{17} + q^{18} + 4 q^{19} - 5 q^{20} + 12 q^{21} + q^{22} + 27 q^{23} - 9 q^{24} - 5 q^{25} - 2 q^{26} - 14 q^{27} + 10 q^{28} - 36 q^{29} + 2 q^{30} - 13 q^{31} + 5 q^{32} - 42 q^{33} + 2 q^{34} + 21 q^{35} - q^{36} - 50 q^{37} - 26 q^{38} - 31 q^{39} + 5 q^{40} - 10 q^{41} + 21 q^{42} + 16 q^{43} - q^{44} - q^{45} + 17 q^{46} - 13 q^{47} - 2 q^{48} - 40 q^{49} + 5 q^{50} - 19 q^{51} - 20 q^{52} - 5 q^{53} + 47 q^{54} + 10 q^{55} + 12 q^{56} - 90 q^{57} - 8 q^{58} - 20 q^{59} - 2 q^{60} + 12 q^{61} + 13 q^{62} - 15 q^{63} - 5 q^{64} - 20 q^{65} + 20 q^{66} - 21 q^{67} - 24 q^{68} + 77 q^{69} - 21 q^{70} + 24 q^{71} + 12 q^{72} - 68 q^{73} - 16 q^{74} - 2 q^{75} + 4 q^{76} + 7 q^{77} + 53 q^{78} - 26 q^{79} - 5 q^{80} - 21 q^{81} + 21 q^{82} - 10 q^{83} + 12 q^{84} + 31 q^{85} - 27 q^{86} + 61 q^{87} + 12 q^{88} + 51 q^{89} + q^{90} - 10 q^{91} - 6 q^{92} - 38 q^{93} - 9 q^{94} + 15 q^{95} + 2 q^{96} + 72 q^{97} - 37 q^{98} - 32 q^{99}+O(q^{100}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9 + 5 * q^10 - 12 * q^11 - 2 * q^12 + 24 * q^13 + 23 * q^14 - 2 * q^15 - 5 * q^16 + 31 * q^17 + q^18 + 4 * q^19 - 5 * q^20 + 12 * q^21 + q^22 + 27 * q^23 - 9 * q^24 - 5 * q^25 - 2 * q^26 - 14 * q^27 + 10 * q^28 - 36 * q^29 + 2 * q^30 - 13 * q^31 + 5 * q^32 - 42 * q^33 + 2 * q^34 + 21 * q^35 - q^36 - 50 * q^37 - 26 * q^38 - 31 * q^39 + 5 * q^40 - 10 * q^41 + 21 * q^42 + 16 * q^43 - q^44 - q^45 + 17 * q^46 - 13 * q^47 - 2 * q^48 - 40 * q^49 + 5 * q^50 - 19 * q^51 - 20 * q^52 - 5 * q^53 + 47 * q^54 + 10 * q^55 + 12 * q^56 - 90 * q^57 - 8 * q^58 - 20 * q^59 - 2 * q^60 + 12 * q^61 + 13 * q^62 - 15 * q^63 - 5 * q^64 - 20 * q^65 + 20 * q^66 - 21 * q^67 - 24 * q^68 + 77 * q^69 - 21 * q^70 + 24 * q^71 + 12 * q^72 - 68 * q^73 - 16 * q^74 - 2 * q^75 + 4 * q^76 + 7 * q^77 + 53 * q^78 - 26 * q^79 - 5 * q^80 - 21 * q^81 + 21 * q^82 - 10 * q^83 + 12 * q^84 + 31 * q^85 - 27 * q^86 + 61 * q^87 + 12 * q^88 + 51 * q^89 + q^90 - 10 * q^91 - 6 * q^92 - 38 * q^93 - 9 * q^94 + 15 * q^95 + 2 * q^96 + 72 * q^97 - 37 * q^98 - 32 * q^99

Introduction

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