LMFDB - Embedded newform 663.2.ck.a.332.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [663,2,Mod(2,663)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(663, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([12, 2, 21]))

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

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

chi := DirichletCharacter("663.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 663 = 3 \cdot 13 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	663.ck (of order $24$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.29408165401$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			332.18
Character	$\chi$	$=$	663.332
Dual form			663.2.ck.a.2.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.46427 - 0.845396i) q^{2} +(0.145236 - 1.72595i) q^{3} +(0.429387 + 0.743721i) q^{4} +(-0.342636 - 0.827196i) q^{5} +(-1.67178 + 2.40447i) q^{6} +(0.425222 + 3.22988i) q^{7} +1.92957i q^{8} +(-2.95781 - 0.501340i) q^{9} +O(q^{10})$	\(q+(-1.46427 - 0.845396i) q^{2} +(0.145236 - 1.72595i) q^{3} +(0.429387 + 0.743721i) q^{4} +(-0.342636 - 0.827196i) q^{5} +(-1.67178 + 2.40447i) q^{6} +(0.425222 + 3.22988i) q^{7} +1.92957i q^{8} +(-2.95781 - 0.501340i) q^{9} +(-0.197597 + 1.50090i) q^{10} +(2.85006 - 2.18693i) q^{11} +(1.34599 - 0.633087i) q^{12} +(-2.89782 + 2.14538i) q^{13} +(2.10789 - 5.08890i) q^{14} +(-1.47746 + 0.471234i) q^{15} +(2.49003 - 4.31285i) q^{16} +(1.11233 + 3.97023i) q^{17} +(3.90720 + 3.23462i) q^{18} +(2.62741 + 4.55081i) q^{19} +(0.468079 - 0.610013i) q^{20} +(5.63638 - 0.264818i) q^{21} +(-6.02207 + 0.792821i) q^{22} +(-1.21267 + 9.21114i) q^{23} +(3.33035 + 0.280243i) q^{24} +(2.96868 - 2.96868i) q^{25} +(6.05688 - 0.691611i) q^{26} +(-1.29487 + 5.03223i) q^{27} +(-2.21955 + 1.70312i) q^{28} +(-5.67564 + 4.35507i) q^{29} +(2.56178 + 0.559027i) q^{30} +(0.832614 + 2.01011i) q^{31} +(-3.95002 + 2.28054i) q^{32} +(-3.36060 - 5.23668i) q^{33} +(1.72766 - 6.75384i) q^{34} +(2.52605 - 1.45842i) q^{35} +(-0.897191 - 2.41506i) q^{36} +(0.729640 - 5.54217i) q^{37} -8.88480i q^{38} +(3.28195 + 5.31308i) q^{39} +(1.59614 - 0.661141i) q^{40} +(2.93783 - 2.25428i) q^{41} +(-8.47704 - 4.37720i) q^{42} +(-4.15441 - 1.11317i) q^{43} +(2.85024 + 1.18061i) q^{44} +(0.598746 + 2.61847i) q^{45} +(9.56273 - 12.4624i) q^{46} +(5.13088 - 5.13088i) q^{47} +(-7.08213 - 4.92405i) q^{48} +(-3.48985 + 0.935102i) q^{49} +(-6.85665 + 1.83723i) q^{50} +(7.01397 - 1.34321i) q^{51} +(-2.83985 - 1.23397i) q^{52} +(2.77633 + 2.77633i) q^{53} +(6.15026 - 6.27385i) q^{54} +(-2.78555 - 1.60824i) q^{55} +(-6.23230 + 0.820497i) q^{56} +(8.23606 - 3.87384i) q^{57} +(11.9924 - 1.57883i) q^{58} +(-0.620305 + 0.358133i) q^{59} +(-0.984870 - 0.896478i) q^{60} +(-4.26256 + 5.55508i) q^{61} +(0.480166 - 3.64723i) q^{62} +(0.361542 - 9.76657i) q^{63} -2.24826 q^{64} +(2.76755 + 1.66198i) q^{65} +(0.493749 + 10.5089i) q^{66} +(-9.49747 + 2.54484i) q^{67} +(-2.47512 + 2.53203i) q^{68} +(15.7218 + 3.43079i) q^{69} -4.93175 q^{70} +(-0.498987 - 0.382887i) q^{71} +(0.967372 - 5.70732i) q^{72} +(-2.37303 - 5.72900i) q^{73} +(-5.75371 + 7.49838i) q^{74} +(-4.69264 - 5.55496i) q^{75} +(-2.25635 + 3.90812i) q^{76} +(8.27543 + 8.27543i) q^{77} +(-0.314011 - 10.5543i) q^{78} +(13.8331 - 5.72985i) q^{79} +(-4.42075 - 0.582003i) q^{80} +(8.49732 + 2.96574i) q^{81} +(-6.20753 + 0.817237i) q^{82} +6.09485i q^{83} +(2.61714 + 4.07818i) q^{84} +(2.90303 - 2.28046i) q^{85} +(5.14210 + 5.14210i) q^{86} +(6.69233 + 10.4284i) q^{87} +(4.21984 + 5.49940i) q^{88} +(2.86324 + 10.6858i) q^{89} +(1.33692 - 4.34032i) q^{90} +(-8.16154 - 8.44735i) q^{91} +(-7.37122 + 3.05326i) q^{92} +(3.59027 - 1.14511i) q^{93} +(-11.8506 + 3.17536i) q^{94} +(2.86416 - 3.73265i) q^{95} +(3.36242 + 7.14875i) q^{96} +(-1.83703 - 1.40960i) q^{97} +(5.90061 + 1.58106i) q^{98} +(-9.52634 + 5.03968i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9}+O(q^{10}) $ 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9	$ 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9} - 56 q^{10} - 16 q^{12} + 4 q^{15} - 288 q^{16} - 8 q^{19} - 32 q^{21} - 8 q^{22} + 24 q^{24} - 32 q^{25} - 64 q^{27} - 24 q^{28} - 32 q^{30} - 32 q^{31} - 48 q^{33} - 4 q^{36} + 80 q^{37} + 36 q^{39} + 32 q^{40} - 4 q^{42} - 8 q^{43} - 104 q^{45} - 96 q^{46} + 76 q^{48} - 8 q^{49} + 64 q^{51} + 32 q^{52} - 72 q^{54} + 68 q^{57} - 144 q^{58} + 168 q^{60} - 8 q^{61} + 16 q^{63} - 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 128 q^{70} + 208 q^{72} + 32 q^{73} + 32 q^{75} + 104 q^{76} - 180 q^{78} - 64 q^{79} + 48 q^{81} - 56 q^{82} - 32 q^{84} + 56 q^{85} - 76 q^{87} + 56 q^{88} - 16 q^{90} - 108 q^{93} + 40 q^{94} + 128 q^{96} - 192 q^{97} - 20 q^{99}+O(q^{100}) $ 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9 - 56 * q^10 - 16 * q^12 + 4 * q^15 - 288 * q^16 - 8 * q^19 - 32 * q^21 - 8 * q^22 + 24 * q^24 - 32 * q^25 - 64 * q^27 - 24 * q^28 - 32 * q^30 - 32 * q^31 - 48 * q^33 - 4 * q^36 + 80 * q^37 + 36 * q^39 + 32 * q^40 - 4 * q^42 - 8 * q^43 - 104 * q^45 - 96 * q^46 + 76 * q^48 - 8 * q^49 + 64 * q^51 + 32 * q^52 - 72 * q^54 + 68 * q^57 - 144 * q^58 + 168 * q^60 - 8 * q^61 + 16 * q^63 - 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 128 * q^70 + 208 * q^72 + 32 * q^73 + 32 * q^75 + 104 * q^76 - 180 * q^78 - 64 * q^79 + 48 * q^81 - 56 * q^82 - 32 * q^84 + 56 * q^85 - 76 * q^87 + 56 * q^88 - 16 * q^90 - 108 * q^93 + 40 * q^94 + 128 * q^96 - 192 * q^97 - 20 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$-1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	−1.46427	−	0.845396i	−1.03539	−	0.597785i	−0.116869	−	0.993147i	$-0.537286\pi$
$2$	−1.46427	−	0.845396i	−1.03539	−	0.597785i	−0.918525	+	0.395362i	$0.870619\pi$
$3$	0.145236	−	1.72595i	0.0838520	−	0.996478i
$3$	0.145236	−	1.72595i	0.0838520	−	0.996478i
$4$	0.429387	+	0.743721i	0.214694	+	0.371860i
$5$	−0.342636	−	0.827196i	−0.153231	−	0.369933i	0.828559	−	0.559902i	$-0.189161\pi$
$5$	−0.342636	−	0.827196i	−0.153231	−	0.369933i	−0.981790	+	0.189969i	$0.939161\pi$
$6$	−1.67178	+	2.40447i	−0.682500	+	0.981622i
$7$	0.425222	+	3.22988i	0.160719	+	1.22078i	0.861632	+	0.507534i	$0.169443\pi$
$7$	0.425222	+	3.22988i	0.160719	+	1.22078i	−0.700913	+	0.713247i	$0.747224\pi$
$8$			1.92957i			0.682207i
$9$	−2.95781	−	0.501340i	−0.985938	−	0.167113i
$10$	−0.197597	+	1.50090i	−0.0624857	+	0.474626i
$11$	2.85006	−	2.18693i	0.859326	−	0.659384i	−0.0820928	−	0.996625i	$-0.526160\pi$
$11$	2.85006	−	2.18693i	0.859326	−	0.659384i	0.941418	+	0.337241i	$0.109494\pi$
$12$	1.34599	−	0.633087i	0.388553	−	0.182756i
$13$	−2.89782	+	2.14538i	−0.803710	+	0.595022i
$13$	−2.89782	+	2.14538i	−0.803710	+	0.595022i
$14$	2.10789	−	5.08890i	0.563357	−	1.36006i
$15$	−1.47746	+	0.471234i	−0.381479	+	0.121672i
$16$	2.49003	−	4.31285i	0.622507	−	1.07821i
$17$	1.11233	+	3.97023i	0.269780	+	0.962922i
$17$	1.11233	+	3.97023i	0.269780	+	0.962922i
$18$	3.90720	+	3.23462i	0.920936	+	0.762407i
$19$	2.62741	+	4.55081i	0.602769	+	1.04403i	0.992400	+	0.123056i	$0.0392693\pi$
$19$	2.62741	+	4.55081i	0.602769	+	1.04403i	−0.389631	+	0.920971i	$0.627397\pi$
$20$	0.468079	−	0.610013i	0.104666	−	0.136403i
$21$	5.63638	−	0.264818i	1.22996	−	0.0577879i
$22$	−6.02207	+	0.792821i	−1.28391	+	0.169030i
$23$	−1.21267	+	9.21114i	−0.252859	+	1.92065i	0.120014	+	0.992772i	$0.461706\pi$
$23$	−1.21267	+	9.21114i	−0.252859	+	1.92065i	−0.372873	+	0.927882i	$0.621627\pi$
$24$	3.33035	+	0.280243i	0.679805	+	0.0572044i
$25$	2.96868	−	2.96868i	0.593736	−	0.593736i
$26$	6.05688	−	0.691611i	1.18785	−	0.135636i
$27$	−1.29487	+	5.03223i	−0.249198	+	0.968453i
$28$	−2.21955	+	1.70312i	−0.419455	+	0.321859i
$29$	−5.67564	+	4.35507i	−1.05394	+	0.808716i	−0.982036	−	0.188695i	$-0.939574\pi$
$29$	−5.67564	+	4.35507i	−1.05394	+	0.808716i	−0.0719038	+	0.997412i	$0.522907\pi$
$30$	2.56178	+	0.559027i	0.467715	+	0.102064i
$31$	0.832614	+	2.01011i	0.149542	+	0.361026i	0.980844	−	0.194795i	$-0.0624040\pi$
$31$	0.832614	+	2.01011i	0.149542	+	0.361026i	−0.831302	+	0.555821i	$0.812404\pi$
$32$	−3.95002	+	2.28054i	−0.698271	+	0.403147i
$33$	−3.36060	−	5.23668i	−0.585005	−	0.911590i
$34$	1.72766	−	6.75384i	0.296292	−	1.15827i
$35$	2.52605	−	1.45842i	0.426980	−	0.246517i
$36$	−0.897191	−	2.41506i	−0.149532	−	0.402509i
$37$	0.729640	−	5.54217i	0.119952	−	0.911126i	−0.820606	−	0.571494i	$-0.806364\pi$
$37$	0.729640	−	5.54217i	0.119952	−	0.911126i	0.940558	−	0.339632i	$-0.110303\pi$
$38$		−	8.88480i		−	1.44131i
$39$	3.28195	+	5.31308i	0.525533	+	0.850773i
$40$	1.59614	−	0.661141i	0.252371	−	0.104536i
$41$	2.93783	−	2.25428i	0.458812	−	0.352059i	−0.353349	−	0.935491i	$-0.614957\pi$
$41$	2.93783	−	2.25428i	0.458812	−	0.352059i	0.812162	+	0.583432i	$0.198291\pi$
$42$	−8.47704	−	4.37720i	−1.30804	−	0.675417i
$43$	−4.15441	−	1.11317i	−0.633542	−	0.169757i	−0.0722655	−	0.997385i	$-0.523023\pi$
$43$	−4.15441	−	1.11317i	−0.633542	−	0.169757i	−0.561276	+	0.827628i	$0.689690\pi$
$44$	2.85024	+	1.18061i	0.429691	+	0.177984i
$45$	0.598746	+	2.61847i	0.0892558	+	0.390338i
$46$	9.56273	−	12.4624i	1.40995	−	1.83748i
$47$	5.13088	−	5.13088i	0.748416	−	0.748416i	−0.225766	−	0.974182i	$-0.572488\pi$
$47$	5.13088	−	5.13088i	0.748416	−	0.748416i	0.974182	+	0.225766i	$0.0724884\pi$
$48$	−7.08213	−	4.92405i	−1.02222	−	0.710725i
$49$	−3.48985	+	0.935102i	−0.498550	+	0.133586i
$50$	−6.85665	+	1.83723i	−0.969677	+	0.259824i
$51$	7.01397	−	1.34321i	0.982152	−	0.188087i
$52$	−2.83985	−	1.23397i	−0.393816	−	0.171120i
$53$	2.77633	+	2.77633i	0.381358	+	0.381358i	0.871591	−	0.490233i	$-0.163088\pi$
$53$	2.77633	+	2.77633i	0.381358	+	0.381358i	−0.490233	+	0.871591i	$0.663088\pi$
$54$	6.15026	−	6.27385i	0.836944	−	0.853763i
$55$	−2.78555	−	1.60824i	−0.375604	−	0.216855i
$56$	−6.23230	+	0.820497i	−0.832826	+	0.109644i
$57$	8.23606	−	3.87384i	1.09089	−	0.513103i
$58$	11.9924	−	1.57883i	1.57468	−	0.207311i
$59$	−0.620305	+	0.358133i	−0.0807568	+	0.0466250i	−0.539835	−	0.841771i	$-0.681513\pi$
$59$	−0.620305	+	0.358133i	−0.0807568	+	0.0466250i	0.459078	+	0.888396i	$0.348180\pi$
$60$	−0.984870	−	0.896478i	−0.127146	−	0.115735i
$61$	−4.26256	+	5.55508i	−0.545765	+	0.711255i	−0.982064	−	0.188547i	$-0.939622\pi$
$61$	−4.26256	+	5.55508i	−0.545765	+	0.711255i	0.436299	+	0.899802i	$0.356289\pi$
$62$	0.480166	−	3.64723i	0.0609812	−	0.463198i
$63$	0.361542	−	9.76657i	0.0455500	−	1.23047i
$64$	−2.24826			−0.281033
$65$	2.76755	+	1.66198i	0.343272	+	0.206143i
$66$	0.493749	+	10.5089i	0.0607763	+	1.29356i
$67$	−9.49747	+	2.54484i	−1.16030	+	0.310902i	−0.787086	−	0.616843i	$-0.788411\pi$
$67$	−9.49747	+	2.54484i	−1.16030	+	0.310902i	−0.373215	+	0.927745i	$0.621745\pi$
$68$	−2.47512	+	2.53203i	−0.300153	+	0.307054i
$69$	15.7218	+	3.43079i	1.89269	+	0.413019i
$70$	−4.93175			−0.589457
$71$	−0.498987	−	0.382887i	−0.0592189	−	0.0454403i	0.578728	−	0.815521i	$-0.303549\pi$
$71$	−0.498987	−	0.382887i	−0.0592189	−	0.0454403i	−0.637947	+	0.770080i	$0.720216\pi$
$72$	0.967372	−	5.70732i	0.114006	−	0.672614i
$73$	−2.37303	−	5.72900i	−0.277742	−	0.670529i	0.722030	−	0.691861i	$-0.243209\pi$
$73$	−2.37303	−	5.72900i	−0.277742	−	0.670529i	−0.999772	+	0.0213327i	$0.993209\pi$
$74$	−5.75371	+	7.49838i	−0.668855	+	0.871669i
$75$	−4.69264	−	5.55496i	−0.541859	−	0.641431i
$76$	−2.25635	+	3.90812i	−0.258822	+	0.448292i
$77$	8.27543	+	8.27543i	0.943073	+	0.943073i
$78$	−0.314011	−	10.5543i	−0.0355548	−	1.19504i
$79$	13.8331	−	5.72985i	1.55634	−	0.644658i	0.571893	−	0.820328i	$-0.306209\pi$
$79$	13.8331	−	5.72985i	1.55634	−	0.644658i	0.984449	+	0.175670i	$0.0562091\pi$
$80$	−4.42075	−	0.582003i	−0.494255	−	0.0650699i
$81$	8.49732	+	2.96574i	0.944146	+	0.329527i
$82$	−6.20753	+	0.817237i	−0.685507	+	0.0902487i
$83$			6.09485i			0.668996i	0.942396	+	0.334498i	$0.108567\pi$
$83$			6.09485i			0.668996i	−0.942396	+	0.334498i	$0.891433\pi$
$84$	2.61714	+	4.07818i	0.285553	+	0.444966i
$85$	2.90303	−	2.28046i	0.314878	−	0.247350i
$86$	5.14210	+	5.14210i	0.554487	+	0.554487i
$87$	6.69233	+	10.4284i	0.717493	+	1.11804i
$88$	4.21984	+	5.49940i	0.449836	+	0.586238i
$89$	2.86324	+	10.6858i	0.303503	+	1.13269i	0.934227	+	0.356680i	$0.116091\pi$
$89$	2.86324	+	10.6858i	0.303503	+	1.13269i	−0.630724	+	0.776007i	$0.717242\pi$
$90$	1.33692	−	4.34032i	0.140923	−	0.457510i
$91$	−8.16154	−	8.44735i	−0.855562	−	0.885522i
$92$	−7.37122	+	3.05326i	−0.768503	+	0.318324i
$93$	3.59027	−	1.14511i	0.372294	−	0.118743i
$94$	−11.8506	+	3.17536i	−1.22230	+	0.327514i
$95$	2.86416	−	3.73265i	0.293857	−	0.382962i
$96$	3.36242	+	7.14875i	0.343176	+	0.729617i
$97$	−1.83703	−	1.40960i	−0.186522	−	0.143123i	0.511280	−	0.859414i	$-0.329172\pi$
$97$	−1.83703	−	1.40960i	−0.186522	−	0.143123i	−0.697802	+	0.716291i	$0.745838\pi$
$98$	5.90061	+	1.58106i	0.596051	+	0.159711i
$99$	−9.52634	+	5.03968i	−0.957433	+	0.506506i
$100$	3.48258	+	0.933155i	0.348258	+	0.0933155i
$101$	6.29216	−	10.8983i	0.626094	−	1.08443i	−0.362235	−	0.932087i	$-0.617986\pi$
$101$	6.29216	−	10.8983i	0.626094	−	1.08443i	0.988328	−	0.152339i	$-0.0486806\pi$
$102$	−11.4059	−	3.96276i	−1.12935	−	0.392372i
$103$			12.4391i			1.22566i	0.790215	+	0.612830i	$0.209969\pi$
$103$			12.4391i			1.22566i	−0.790215	+	0.612830i	$0.790031\pi$
$104$	−4.13967	−	5.59155i	−0.405928	−	0.548297i
$105$	−2.15028	−	4.57165i	−0.209846	−	0.446148i
$106$	−1.71819	−	6.41239i	−0.166886	−	0.622826i
$107$	10.2128	−	7.83656i	0.987309	−	0.757589i	0.0170990	−	0.999854i	$-0.494557\pi$
$107$	10.2128	−	7.83656i	0.987309	−	0.757589i	0.970210	+	0.242265i	$0.0778903\pi$
$108$	−4.29857	+	1.19775i	−0.413630	+	0.115254i
$109$	0.582051	−	1.40519i	0.0557503	−	0.134593i	−0.893550	−	0.448963i	$-0.851793\pi$
$109$	0.582051	−	1.40519i	0.0557503	−	0.134593i	0.949300	+	0.314370i	$0.101793\pi$
$110$	2.71920	+	4.70978i	0.259265	+	0.449060i
$111$	−9.45954	−	2.06424i	−0.897859	−	0.195929i
$112$	14.9888	+	6.20858i	1.41631	+	0.586655i
$113$	−7.89521	+	10.2892i	−0.742719	+	0.967930i	0.257280	+	0.966337i	$0.417174\pi$
$113$	−7.89521	+	10.2892i	−0.742719	+	0.967930i	−0.999999	+	0.00159330i	$0.999493\pi$
$114$	−15.3347	−	1.29039i	−1.43623	−	0.120856i
$115$	8.03492	−	2.15295i	0.749260	−	0.200764i
$116$	−5.67600	−	2.35108i	−0.527004	−	0.218292i
$117$	9.64677	−	4.89284i	0.891844	−	0.452344i
$118$	1.21106			0.111487
$119$	−12.3504	+	5.28093i	−1.13216	+	0.484102i
$120$	−0.909280	−	2.85087i	−0.0830056	−	0.260248i
$121$	0.493179	−	1.84057i	0.0448345	−	0.167325i
$122$	10.9378	−	4.53057i	0.990259	−	0.410179i
$123$	−3.46410	−	5.39796i	−0.312347	−	0.486717i
$124$	−1.13745	+	1.48235i	−0.102146	+	0.133119i
$125$	−7.60884	−	3.15168i	−0.680555	−	0.281895i
$126$	−8.78601	+	13.9952i	−0.782720	+	1.24679i
$127$	2.06629	+	7.71151i	0.183354	+	0.684286i	0.994977	+	0.100105i	$0.0319178\pi$
$127$	2.06629	+	7.71151i	0.183354	+	0.684286i	−0.811623	+	0.584182i	$0.801416\pi$
$128$	11.1921	+	6.46176i	0.989251	+	0.571144i
$129$	−2.52465	+	7.00864i	−0.222283	+	0.617076i
$130$	−2.64740	−	4.77325i	−0.232192	−	0.418642i
$131$	−12.6172	−	5.22623i	−1.10237	−	0.456618i	−0.244068	−	0.969758i	$-0.578482\pi$
$131$	−12.6172	−	5.22623i	−1.10237	−	0.456618i	−0.858305	+	0.513140i	$0.828482\pi$
$132$	2.45163	−	4.74791i	0.213387	−	0.413253i
$133$	−13.5813	+	10.4213i	−1.17765	+	0.903644i
$134$	16.0582	+	4.30279i	1.38722	+	0.371705i
$135$	4.60631	−	0.653111i	0.396448	−	0.0562108i
$136$	−7.66085	+	2.14632i	−0.656912	+	0.184046i
$137$	−2.25259	+	8.40676i	−0.192451	+	0.718238i	0.800461	+	0.599385i	$0.204588\pi$
$137$	−2.25259	+	8.40676i	−0.192451	+	0.718238i	−0.992912	+	0.118853i	$0.962078\pi$
$138$	−20.1206	−	18.3148i	−1.71278	−	1.55906i
$139$	−0.875106	−	6.64709i	−0.0742255	−	0.563799i	−0.987637	−	0.156761i	$-0.949895\pi$
$139$	−0.875106	−	6.64709i	−0.0742255	−	0.563799i	0.913411	−	0.407038i	$-0.133438\pi$
$140$	2.16931	+	1.25245i	0.183340	+	0.105851i
$141$	−8.11046	−	9.60084i	−0.683024	−	0.808536i
$142$	0.406961	+	0.982490i	0.0341514	+	0.0824488i
$143$	−3.56716	+	12.4518i	−0.298301	+	1.04127i
$144$	−9.52724	+	11.5083i	−0.793937	+	0.959022i
$145$	5.54717	+	3.20266i	0.460668	+	0.265967i
$146$	−1.36852	+	10.3949i	−0.113259	+	0.860291i
$147$	1.10709	+	6.15912i	0.0913112	+	0.507996i
$148$	4.43512	−	1.83709i	0.364565	−	0.151008i
$149$	3.55350	−	13.2618i	0.291114	−	1.08645i	−0.653141	−	0.757237i	$-0.726549\pi$
$149$	3.55350	−	13.2618i	0.291114	−	1.08645i	0.944255	−	0.329216i	$-0.106784\pi$
$150$	2.17514	+	12.1011i	0.177600	+	0.988049i
$151$			15.3339i			1.24785i	0.781483	+	0.623927i	$0.214464\pi$
$151$			15.3339i			1.24785i	−0.781483	+	0.623927i	$0.785536\pi$
$152$	−8.78112	+	5.06978i	−0.712243	+	0.411213i
$153$	−1.29963	−	12.3009i	−0.105069	−	0.994465i
$154$	−5.12144	−	19.1135i	−0.412697	−	1.54021i
$155$	1.37747	−	1.37747i	0.110641	−	0.110641i
$156$	−2.54222	+	4.72223i	−0.203540	+	0.378081i
$157$			20.2212i			1.61383i	0.590669	+	0.806914i	$0.298864\pi$
$157$			20.2212i			1.61383i	−0.590669	+	0.806914i	$0.701136\pi$
$158$	−25.0993	−	3.30439i	−1.99679	−	0.262883i
$159$	5.19503	−	4.38859i	0.411993	−	0.348038i
$160$	3.23987	+	2.48604i	0.256135	+	0.196539i
$161$	−30.2665			−2.38534
$162$	−9.93513	−	11.5262i	−0.780577	−	0.905586i
$163$	−1.88045	−	14.2835i	−0.147289	−	1.11877i	−0.892212	−	0.451618i	$-0.850847\pi$
$163$	−1.88045	−	14.2835i	−0.147289	−	1.11877i	0.744923	−	0.667150i	$-0.232486\pi$
$164$	2.93802	+	1.21697i	0.229421	+	0.0950293i
$165$	−3.18030	+	4.57415i	−0.247586	+	0.356097i
$166$	5.15256	−	8.92449i	0.399916	−	0.692675i
$167$	18.6490	+	2.45519i	1.44310	+	0.189988i	0.811069	−	0.584951i	$-0.198886\pi$
$167$	18.6490	+	2.45519i	1.44310	+	0.189988i	0.632036	+	0.774939i	$0.282220\pi$
$168$	0.510985	+	10.8758i	0.0394233	+	0.839086i
$169$	3.79468	−	12.4338i	0.291899	−	0.956449i
$170$	−6.17871	+	0.884991i	−0.473885	+	0.0678757i
$171$	−5.48988	−	14.7777i	−0.419822	−	1.13008i
$172$	−0.955964	−	3.56771i	−0.0728916	−	0.272035i
$173$	2.36116	+	17.9348i	0.179516	+	1.36356i	0.809578	+	0.587012i	$0.199696\pi$
$173$	2.36116	+	17.9348i	0.179516	+	1.36356i	−0.630063	+	0.776544i	$0.716971\pi$
$174$	−0.983256	−	20.9276i	−0.0745404	−	1.58652i
$175$	10.8508	+	8.32614i	0.820246	+	0.629397i
$176$	−2.33517	−	17.7374i	−0.176020	−	1.33701i
$177$	0.528030	+	1.12263i	0.0396892	+	0.0843820i
$178$	4.84114	−	18.0674i	0.362859	−	1.35421i
$179$	−7.38608	+	1.97909i	−0.552062	+	0.147924i	−0.524057	−	0.851683i	$-0.675582\pi$
$179$	−7.38608	+	1.97909i	−0.552062	+	0.147924i	−0.0280048	+	0.999608i	$0.508915\pi$
$180$	−1.69032	+	1.56964i	−0.125989	+	0.116994i
$181$	0.994900	+	2.40190i	0.0739503	+	0.178532i	0.956532	−	0.291627i	$-0.0941966\pi$
$181$	0.994900	+	2.40190i	0.0739503	+	0.178532i	−0.882582	+	0.470159i	$0.844197\pi$
$182$	4.80934	+	19.2689i	0.356492	+	1.42831i
$183$	8.96871	+	8.16377i	0.662986	+	0.603483i
$184$	−17.7736	−	2.33993i	−1.31028	−	0.172502i
$185$	−4.83446	+	1.29539i	−0.355436	+	0.0952389i
$186$	−6.22520	−	1.35845i	−0.456454	−	0.0996065i
$187$	11.8528	+	8.88280i	0.866764	+	0.649575i
$188$	6.01908	+	1.61281i	0.438987	+	0.117626i
$189$	−16.8041	−	2.04246i	−1.22232	−	0.148567i
$190$	−7.34947	+	3.04425i	−0.533187	+	0.220853i
$191$	2.01082	+	3.48284i	0.145498	+	0.252009i	0.929559	−	0.368675i	$-0.120188\pi$
$191$	2.01082	+	3.48284i	0.145498	+	0.252009i	−0.784061	+	0.620684i	$0.786855\pi$
$192$	−0.326529	+	3.88039i	−0.0235652	+	0.280043i
$193$	10.4184	+	13.5776i	0.749935	+	0.977334i	0.999959	+	0.00909424i	$0.00289483\pi$
$193$	10.4184	+	13.5776i	0.749935	+	0.977334i	−0.250024	+	0.968240i	$0.580439\pi$
$194$	1.49823	+	3.61705i	0.107567	+	0.259689i
$195$	3.27044	−	4.53527i	0.234201	−	0.324777i
$196$	−2.19395	−	2.19395i	−0.156711	−	0.156711i
$197$	1.24413	−	0.954655i	0.0886407	−	0.0680164i	−0.563490	−	0.826123i	$-0.690542\pi$
$197$	1.24413	−	0.954655i	0.0886407	−	0.0680164i	0.652131	+	0.758106i	$0.273875\pi$
$198$	18.2096	+	0.674090i	1.29410	+	0.0479055i
$199$	1.97134	+	14.9738i	0.139745	+	1.06147i	0.907300	+	0.420484i	$0.138140\pi$
$199$	1.97134	+	14.9738i	0.139745	+	1.06147i	−0.767555	+	0.640983i	$0.778527\pi$
$200$	5.72829	+	5.72829i	0.405051	+	0.405051i
$201$	3.01290	+	16.7618i	0.212513	+	1.18228i
$202$	−18.4268	+	10.6387i	−1.29651	+	0.748539i
$203$	−16.4798	−	16.4798i	−1.15665	−	1.15665i
$204$	4.01068	+	4.63968i	0.280804	+	0.324843i
$205$	−2.87134	−	1.65777i	−0.200543	−	0.115783i
$206$	10.5160	−	18.2142i	0.732681	−	1.26904i
$207$	8.20476	−	26.6369i	0.570270	−	1.85139i
$208$	2.03707	+	17.8399i	0.141246	+	1.23698i
$209$	17.4406	+	7.22412i	1.20639	+	0.499703i
$210$	−0.716268	+	8.51196i	−0.0494272	+	0.587381i
$211$	−16.7120	−	2.20018i	−1.15050	−	0.151466i	−0.468942	−	0.883229i	$-0.655365\pi$
$211$	−16.7120	−	2.20018i	−1.15050	−	0.151466i	−0.681559	+	0.731763i	$0.738698\pi$
$212$	−0.872694	+	3.25694i	−0.0599368	+	0.223687i
$213$	−0.733314	+	0.805619i	−0.0502459	+	0.0552001i
$214$	−21.5793	+	2.84097i	−1.47513	+	0.194204i
$215$	0.502639	+	3.81793i	0.0342797	+	0.260380i
$216$	−9.71005	−	2.49854i	−0.660685	−	0.170004i
$217$	−6.13837	+	3.54399i	−0.416700	+	0.240582i
$218$	−2.04022	+	1.56552i	−0.138181	+	0.106030i
$219$	−10.2326	+	3.26368i	−0.691456	+	0.220539i
$220$		−	2.76223i		−	0.186229i
$221$	−11.7410	−	9.11862i	−0.789784	−	0.613385i
$222$	12.1062	+	11.0197i	0.812515	+	0.739591i
$223$	5.12731	−	8.88077i	0.343350	−	0.594700i	−0.641702	−	0.766954i	$-0.721772\pi$
$223$	5.12731	−	8.88077i	0.343350	−	0.594700i	0.985053	+	0.172254i	$0.0551049\pi$
$224$	−9.04552	−	11.7884i	−0.604380	−	0.787643i
$225$	−10.2691	+	7.29248i	−0.684608	+	0.486165i
$226$	20.2592	−	8.39163i	1.34762	−	0.558203i
$227$	12.7677	−	1.68089i	0.847419	−	0.111565i	0.305704	−	0.952127i	$-0.401108\pi$
$227$	12.7677	−	1.68089i	0.847419	−	0.111565i	0.541715	+	0.840562i	$0.317775\pi$
$228$	6.41752	+	4.46195i	0.425011	+	0.295500i
$229$	−26.3579			−1.74178			−0.870890	−	0.491479i	$-0.836457\pi$
$229$	−26.3579			−1.74178			−0.870890	+	0.491479i	$0.836457\pi$
$230$	−13.5854	−	3.64019i	−0.895793	−	0.240027i
$231$	15.4849	−	13.0811i	1.01883	−	0.860673i
$232$	−8.40343	−	10.9516i	−0.551712	−	0.719005i
$233$	−7.22474	+	17.4421i	−0.473308	+	1.14267i	0.489384	+	0.872069i	$0.337222\pi$
$233$	−7.22474	+	17.4421i	−0.473308	+	1.14267i	−0.962692	+	0.270599i	$0.912778\pi$
$234$	−18.2618	−	0.990898i	−1.19381	−	0.0647770i
$235$	−6.00227	−	2.48622i	−0.391545	−	0.162183i
$236$	−0.532702	−	0.307556i	−0.0346760	−	0.0200202i
$237$	−7.88038	−	24.7074i	−0.511885	−	1.60492i
$238$	22.5488	+	2.70827i	1.46162	+	0.175551i
$239$	−3.90725	+	3.90725i	−0.252739	+	0.252739i	−0.822093	−	0.569354i	$-0.807194\pi$
$239$	−3.90725	+	3.90725i	−0.252739	+	0.252739i	0.569354	+	0.822093i	$0.307194\pi$
$240$	−1.64656	+	7.54547i	−0.106285	+	0.487058i
$241$	21.7246	+	16.6699i	1.39940	+	1.07380i	0.986632	+	0.162967i	$0.0521064\pi$
$241$	21.7246	+	16.6699i	1.39940	+	1.07380i	0.412773	+	0.910834i	$0.364560\pi$
$242$	−2.27816	+	2.27816i	−0.146445	+	0.146445i
$243$	6.35284	−	14.2352i	0.407535	−	0.913190i
$244$	−5.96172	−	0.784875i	−0.381660	−	0.0502465i
$245$	1.96926	+	2.56639i	0.125811	+	0.163961i
$246$	0.508955	+	10.8326i	0.0324498	+	0.690661i
$247$	−17.3770	−	7.55061i	−1.10567	−	0.480434i
$248$	−3.87865	+	1.60659i	−0.246295	+	0.102019i
$249$	10.5194	+	0.885190i	0.666640	+	0.0560967i
$250$	8.47696	+	11.0474i	0.536130	+	0.698698i
$251$	12.4933	−	7.21303i	0.788573	−	0.455283i	−0.0508871	−	0.998704i	$-0.516205\pi$
$251$	12.4933	−	7.21303i	0.788573	−	0.455283i	0.839460	+	0.543422i	$0.182872\pi$
$252$	7.41884	−	3.92476i	0.467343	−	0.247236i
$253$	16.6879	+	28.9043i	1.04916	+	1.81720i
$254$	3.49367	−	13.0386i	0.219212	−	0.818112i
$255$	−3.51433	−	5.34170i	−0.220076	−	0.334510i
$256$	−8.67722	−	15.0294i	−0.542326	−	0.939337i
$257$	−0.283149	−	1.05673i	−0.0176623	−	0.0659168i	0.956532	−	0.291627i	$-0.0941965\pi$
$257$	−0.283149	−	1.05673i	−0.0176623	−	0.0659168i	−0.974195	+	0.225710i	$0.927530\pi$
$258$	9.62184	−	8.12820i	0.599029	−	0.506040i
$259$	18.2108			1.13156
$260$	−0.0476982	+	2.77191i	−0.00295811	+	0.171907i
$261$	18.9708	−	10.0361i	1.17427	−	0.621216i
$262$	14.0568	+	18.3192i	0.868431	+	1.13176i
$263$	−5.70501	−	21.2914i	−0.351786	−	1.31288i	−0.884481	−	0.466575i	$-0.845488\pi$
$263$	−5.70501	−	21.2914i	−0.351786	−	1.31288i	0.532696	−	0.846307i	$-0.321179\pi$
$264$	10.1046	−	6.48452i	0.621893	−	0.399095i
$265$	1.34530	−	3.24784i	0.0826411	−	0.199513i
$266$	28.6969	−	3.77801i	1.75952	−	0.231645i
$267$	18.8589	−	3.38985i	1.15415	−	0.207456i
$268$	−5.97075	−	5.97075i	−0.364721	−	0.364721i
$269$	4.16722	−	0.548625i	0.254080	−	0.0334503i	−0.00241018	−	0.999997i	$-0.500767\pi$
$269$	4.16722	−	0.548625i	0.254080	−	0.0334503i	0.256490	+	0.966547i	$0.417434\pi$
$270$	−7.29700	−	2.93782i	−0.444082	−	0.178790i
$271$	−7.74331	−	28.8984i	−0.470373	−	1.75546i	−0.638432	−	0.769678i	$-0.720417\pi$
$271$	−7.74331	−	28.8984i	−0.470373	−	1.75546i	0.168059	−	0.985777i	$-0.446250\pi$
$272$	19.8928	+	5.08866i	1.20618	+	0.308545i
$273$	−15.7651	+	12.8596i	−0.954144	+	0.778296i
$274$	10.4054	−	10.4054i	0.628615	−	0.628615i
$275$	1.96863	−	14.9532i	0.118713	−	0.901712i
$276$	4.19921	+	13.1658i	0.252763	+	0.792488i
$277$	−0.259227	−	1.96902i	−0.0155754	−	0.118307i	0.981891	−	0.189447i	$-0.0606696\pi$
$277$	−0.259227	−	1.96902i	−0.0155754	−	0.118307i	−0.997466	+	0.0711401i	$0.977336\pi$
$278$	−4.33803	+	10.4729i	−0.260178	+	0.628125i
$279$	−1.45497	−	6.36295i	−0.0871067	−	0.380940i
$280$	2.81412	+	4.87420i	0.168176	+	0.291289i
$281$		−	22.8124i		−	1.36087i	−0.732806	−	0.680437i	$-0.761790\pi$
$281$		−	22.8124i		−	1.36087i	0.732806	−	0.680437i	$-0.238210\pi$
$282$	3.75938	+	20.9147i	0.223868	+	1.24546i
$283$	−4.61800	−	0.607971i	−0.274512	−	0.0361401i	−0.00798651	−	0.999968i	$-0.502542\pi$
$283$	−4.61800	−	0.607971i	−0.274512	−	0.0361401i	−0.266525	+	0.963828i	$0.585876\pi$
$284$	0.0705018	−	0.535514i	0.00418351	−	0.0317769i
$285$	−6.02639	−	5.48552i	−0.356973	−	0.324934i
$286$	15.7500	−	15.2171i	0.931315	−	0.899805i
$287$	8.53029	+	8.53029i	0.503527	+	0.503527i
$288$	12.8267	−	4.76512i	0.755823	−	0.280787i
$289$	−14.5254	+	8.83242i	−0.854438	+	0.519554i
$290$	−5.41503	−	9.37911i	−0.317982	−	0.550760i
$291$	−2.69970	+	2.96589i	−0.158259	+	0.173864i
$292$	3.24183	−	4.22483i	0.189714	−	0.247240i
$293$	10.7145	+	2.87093i	0.625945	+	0.167722i	0.557829	−	0.829956i	$-0.311634\pi$
$293$	10.7145	+	2.87093i	0.625945	+	0.167722i	0.0681162	+	0.997677i	$0.478301\pi$
$294$	3.58582	−	9.95453i	0.209129	−	0.580560i
$295$	0.508785	+	0.390404i	0.0296226	+	0.0227302i
$296$	10.6940	+	1.40789i	0.621577	+	0.0818322i
$297$	7.31467	+	17.1739i	0.424440	+	0.996533i
$298$	−16.4148	+	16.4148i	−0.950883	+	0.950883i
$299$	−16.2473	−	29.2938i	−0.939606	−	1.69411i
$300$	2.11638	−	5.87524i	0.122189	−	0.339207i
$301$	1.82887	−	13.8916i	0.105414	−	0.800699i
$302$	12.9632	−	22.4529i	0.745948	−	1.29202i
$303$	−17.8962	−	12.4428i	−1.02811	−	0.714820i
$304$	26.1693			1.50091
$305$	6.05564	+	1.62260i	0.346745	+	0.0929101i
$306$	−8.49607	+	19.1104i	−0.485688	+	1.09247i
$307$	15.7284	−	15.7284i	0.897666	−	0.897666i	−0.0975632	−	0.995229i	$-0.531105\pi$
$307$	15.7284	−	15.7284i	0.897666	−	0.897666i	0.995229	+	0.0975632i	$0.0311048\pi$
$308$	−2.60124	+	9.70798i	−0.148220	+	0.553163i
$309$	21.4693	+	1.80660i	1.22134	+	0.102774i
$310$	−3.18149	+	0.852479i	−0.180697	+	0.0484175i
$311$	−2.50210	+	6.04060i	−0.141881	+	0.342531i	−0.978807	−	0.204785i	$-0.934350\pi$
$311$	−2.50210	+	6.04060i	−0.141881	+	0.342531i	0.836926	+	0.547316i	$0.184350\pi$
$312$	−10.2520	+	6.33277i	−0.580403	+	0.358523i
$313$	−3.87233	−	9.34862i	−0.218877	−	0.528415i	0.775857	−	0.630909i	$-0.217318\pi$
$313$	−3.87233	−	9.34862i	−0.218877	−	0.528415i	−0.994734	+	0.102494i	$0.967318\pi$
$314$	17.0949	−	29.6093i	0.964722	−	1.67095i
$315$	−8.20275	+	3.04731i	−0.462172	+	0.171696i
$316$	10.2012	+	7.82762i	0.573860	+	0.440338i
$317$	3.59385	−	8.67632i	0.201851	−	0.487311i	−0.790246	−	0.612790i	$-0.790047\pi$
$317$	3.59385	−	8.67632i	0.201851	−	0.487311i	0.992096	+	0.125480i	$0.0400470\pi$
$318$	−11.3170	+	2.03421i	−0.634627	+	0.114073i
$319$	−6.65168	+	24.8244i	−0.372423	+	1.38990i
$320$	0.770336	+	1.85976i	0.0430631	+	0.103963i
$321$	−12.0423	−	18.7650i	−0.672133	−	1.04736i
$322$	44.3183	+	25.5872i	2.46976	+	1.42592i
$323$	−15.1452	+	15.4934i	−0.842701	+	0.862077i
$324$	1.44296	+	7.59308i	0.0801643	+	0.421838i
$325$	−2.23374	+	14.9716i	−0.123906	+	0.830477i
$326$	−9.32169	+	22.5046i	−0.516281	+	1.24641i
$327$	−2.34076	−	1.20868i	−0.129444	−	0.0668399i
$328$	4.34980	+	5.66876i	0.240177	+	0.313005i
$329$	18.7539	+	14.3904i	1.03394	+	0.793367i
$330$	8.52378	−	4.00917i	0.469219	−	0.220697i
$331$	15.2903	−	8.82787i	0.840432	−	0.485224i	−0.0169792	−	0.999856i	$-0.505405\pi$
$331$	15.2903	−	8.82787i	0.840432	−	0.485224i	0.857411	+	0.514632i	$0.172072\pi$
$332$	−4.53286	+	2.61705i	−0.248773	+	0.143629i
$333$	−4.93665	+	16.0269i	−0.270527	+	0.878268i
$334$	−25.2316	−	19.3609i	−1.38061	−	1.05938i
$335$	5.35926	+	6.98432i	0.292807	+	0.381594i
$336$	12.8926	−	24.9683i	0.703350	−	1.36213i
$337$	−0.0439988	+	0.106222i	−0.00239677	+	0.00578631i	−0.925073	−	0.379788i	$-0.875997\pi$
$337$	−0.0439988	+	0.106222i	−0.00239677	+	0.00578631i	0.922677	+	0.385575i	$0.125997\pi$
$338$	−16.0679	+	14.9985i	−0.873981	+	0.815809i
$339$	16.6121	+	15.1211i	0.902243	+	0.821266i
$340$	2.94255	+	1.17985i	0.159582	+	0.0639861i
$341$	6.76896	+	3.90806i	0.366560	+	0.211633i
$342$	−4.45431	+	26.2796i	−0.240861	+	1.42104i
$343$	4.22259	+	10.1942i	0.227998	+	0.550436i
$344$	2.14795	−	8.01624i	0.115809	−	0.432207i
$345$	−2.54893	−	14.1806i	−0.137230	−	0.763456i
$346$	11.7046	−	28.2574i	0.629244	−	1.51913i
$347$	−6.83117	−	5.24174i	−0.366717	−	0.281391i	0.408921	−	0.912570i	$-0.365905\pi$
$347$	−6.83117	−	5.24174i	−0.366717	−	0.281391i	−0.775638	+	0.631178i	$0.782572\pi$
$348$	−4.88220	+	9.45504i	−0.261714	+	0.506844i
$349$	−9.04247	+	15.6620i	−0.484032	+	0.838368i	−0.999832	−	0.0183410i	$-0.994162\pi$
$349$	−9.04247	+	15.6620i	−0.484032	+	0.838368i	0.515800	+	0.856709i	$0.327495\pi$
$350$	−8.84965	−	21.3650i	−0.473034	−	1.14200i
$351$	−7.04375	−	17.3605i	−0.375968	−	0.926633i
$352$	−6.27040	+	15.1381i	−0.334214	+	0.806863i
$353$	0.767757	−	0.205720i	0.0408636	−	0.0109494i	−0.238329	−	0.971184i	$-0.576600\pi$
$353$	0.767757	−	0.205720i	0.0408636	−	0.0109494i	0.279193	+	0.960235i	$0.409933\pi$
$354$	0.175889	−	2.09022i	0.00934839	−	0.111094i
$355$	−0.145751	+	0.543951i	−0.00773567	+	0.0288699i
$356$	−6.71778	+	6.71778i	−0.356041	+	0.356041i
$357$	7.32091	+	22.0831i	0.387463	+	1.16876i
$358$	12.4883	+	3.34624i	0.660028	+	0.176854i
$359$	−6.92966			−0.365733			−0.182867	−	0.983138i	$-0.558538\pi$
$359$	−6.92966			−0.365733			−0.182867	+	0.983138i	$0.558538\pi$
$360$	−5.05253	+	1.15532i	−0.266291	+	0.0608909i
$361$	−4.30656	+	7.45919i	−0.226661	+	0.392589i
$362$	0.573756	−	4.35811i	0.0301560	−	0.229057i
$363$	−3.10511	−	1.11852i	−0.162976	−	0.0587071i
$364$	2.77800	−	9.69710i	0.145607	−	0.508266i
$365$	−3.92592	+	3.92592i	−0.205492	+	0.205492i
$366$	−6.23099	−	19.5361i	−0.325699	−	1.02117i
$367$	−4.63371	−	0.610040i	−0.241878	−	0.0318438i	0.00861249	−	0.999963i	$-0.497259\pi$
$367$	−4.63371	−	0.610040i	−0.241878	−	0.0318438i	−0.250490	+	0.968119i	$0.580592\pi$
$368$	36.7067	+	28.1660i	1.91347	+	1.46826i
$369$	−9.81972	+	5.19488i	−0.511194	+	0.270435i
$370$	8.17406	+	2.19023i	0.424949	+	0.113865i
$371$	−7.78667	+	10.1478i	−0.404264	+	0.526846i
$372$	2.39326	+	2.17847i	0.124085	+	0.112948i
$373$	13.7415	+	23.8010i	0.711507	+	1.23237i	0.964291	+	0.264844i	$0.0853204\pi$
$373$	13.7415	+	23.8010i	0.711507	+	1.23237i	−0.252784	+	0.967523i	$0.581346\pi$
$374$	−9.84622	−	23.0271i	−0.509136	−	1.19070i
$375$	−6.54473	+	12.6747i	−0.337968	+	0.654521i
$376$	9.90041	+	9.90041i	0.510575	+	0.510575i
$377$	7.10367	−	24.7966i	0.365858	−	1.27709i
$378$	22.8790	+	17.1968i	1.17677	+	0.884510i
$379$	0.560044	−	4.25396i	0.0287675	−	0.218511i	−0.971023	−	0.238987i	$-0.923185\pi$
$379$	0.560044	−	4.25396i	0.0287675	−	0.218511i	0.999790	+	0.0204757i	$0.00651807\pi$
$380$	4.00589	+	0.527385i	0.205498	+	0.0270543i
$381$	13.6098	−	2.44633i	0.697251	−	0.125329i
$382$		−	6.79975i		−	0.347905i
$383$	−7.10354	−	12.3037i	−0.362974	−	0.628689i	0.625475	−	0.780244i	$-0.284905\pi$
$383$	−7.10354	−	12.3037i	−0.362974	−	0.628689i	−0.988449	+	0.151555i	$0.951572\pi$
$384$	12.7782	−	18.3785i	0.652084	−	0.937875i
$385$	4.00994	−	9.68086i	0.204366	−	0.493382i
$386$	−3.77696	−	28.6889i	−0.192242	−	1.46023i
$387$	11.7299	+	5.37533i	0.596264	+	0.273243i
$388$	0.259553	−	1.97150i	0.0131768	−	0.100088i
$389$	−8.07146	+	8.07146i	−0.409239	+	0.409239i	−0.881473	−	0.472234i	$-0.843448\pi$
$389$	−8.07146	+	8.07146i	−0.409239	+	0.409239i	0.472234	+	0.881473i	$0.343448\pi$
$390$	−8.62290	+	3.87604i	−0.436637	+	0.196271i
$391$	−37.9192	+	5.43126i	−1.91766	+	0.274671i
$392$	−1.80435	−	6.73392i	−0.0911334	−	0.340114i
$393$	−10.8527	+	21.0177i	−0.547446	+	1.06020i
$394$	−2.62880	+	0.346089i	−0.132437	+	0.0174357i
$395$	−9.47941	−	9.47941i	−0.476961	−	0.476961i
$396$	−7.83860	−	4.92097i	−0.393905	−	0.247288i
$397$	2.36480	−	0.311331i	0.118686	−	0.0156253i	−0.0709493	−	0.997480i	$-0.522603\pi$
$397$	2.36480	−	0.311331i	0.118686	−	0.0156253i	0.189635	+	0.981855i	$0.439270\pi$
$398$	9.77225	−	23.5923i	0.489838	−	1.18257i
$399$	16.0142	+	24.9543i	0.801713	+	1.24928i
$400$	−5.41139	−	20.1956i	−0.270569	−	1.00978i
$401$	13.1346	+	17.1174i	0.655913	+	0.854802i	0.996341	−	0.0854685i	$-0.0272387\pi$
$401$	13.1346	+	17.1174i	0.655913	+	0.854802i	−0.340428	+	0.940271i	$0.610572\pi$
$402$	9.75864	−	27.0908i	0.486717	−	1.35117i
$403$	−6.72521	−	4.03865i	−0.335007	−	0.201180i
$404$	10.8071			0.537674
$405$	−0.458236	−	8.04511i	−0.0227699	−	0.399765i
$406$	10.1989	+	38.0627i	0.506162	+	1.88902i
$407$	−10.0408	−	17.3912i	−0.497704	−	0.862049i
$408$	2.59182	+	13.5340i	0.128314	+	0.670031i
$409$	5.97856	−	22.3123i	0.295621	−	1.10327i	−0.645103	−	0.764096i	$-0.723185\pi$
$409$	5.97856	−	22.3123i	0.295621	−	1.10327i	0.940723	−	0.339175i	$-0.110148\pi$
$410$	2.80294	+	4.85483i	0.138427	+	0.239763i
$411$	14.1825	+	5.10882i	0.699571	+	0.251999i
$412$	−9.25121	+	5.34119i	−0.455774	+	0.263142i
$413$	−1.42050	−	1.85123i	−0.0698980	−	0.0910929i
$414$	−34.5326	+	32.0672i	−1.69719	+	1.57602i
$415$	5.04163	−	2.08831i	0.247484	−	0.102511i
$416$	6.55379	−	15.0829i	0.321326	−	0.739499i
$417$	−11.5996	+	0.544994i	−0.568037	+	0.0266885i
$418$	−19.4304	−	25.3222i	−0.950373	−	1.23855i
$419$	−9.81774	−	1.29253i	−0.479628	−	0.0631442i	−0.113164	−	0.993576i	$-0.536098\pi$
$419$	−9.81774	−	1.29253i	−0.479628	−	0.0631442i	−0.366464	+	0.930432i	$0.619432\pi$
$420$	2.47673	−	3.56222i	0.120852	−	0.173818i
$421$	−10.9106	+	10.9106i	−0.531749	+	0.531749i	−0.921093	−	0.389344i	$-0.872702\pi$
$421$	−10.9106	+	10.9106i	−0.531749	+	0.531749i	0.389344	+	0.921093i	$0.372702\pi$
$422$	22.6108	+	17.3499i	1.10068	+	0.844580i
$423$	−17.7485	+	12.6039i	−0.862962	+	0.612821i
$424$	−5.35713	+	5.35713i	−0.260165	+	0.260165i
$425$	15.0885	+	8.48418i	0.731900	+	0.411543i
$426$	1.75484	−	0.559702i	0.0850221	−	0.0271176i
$427$	−19.7548	−	11.4054i	−0.956001	−	0.551948i
$428$	10.2135	+	4.23056i	0.493686	+	0.204492i
$429$	20.9731	+	7.96519i	1.01259	+	0.384563i
$430$	2.49166	−	6.01540i	0.120158	−	0.290088i
$431$	−15.4600	−	20.1479i	−0.744684	−	0.970491i	−0.999993	−	0.00363198i	$-0.998844\pi$
$431$	−15.4600	−	20.1479i	−0.744684	−	0.970491i	0.255309	−	0.966859i	$-0.417823\pi$
$432$	18.4790	+	18.1150i	0.889072	+	0.871557i
$433$	−21.1848	−	5.67646i	−1.01808	−	0.272793i	−0.289077	−	0.957306i	$-0.593348\pi$
$433$	−21.1848	−	5.67646i	−1.01808	−	0.272793i	−0.729001	+	0.684513i	$0.760015\pi$
$434$	11.9843			0.575264
$435$	6.33329	−	9.10901i	0.303658	−	0.436743i
$436$	1.29500	−	0.170490i	0.0620191	−	0.00816498i
$437$	−45.1043	+	18.6828i	−2.15763	+	0.893720i
$438$	17.7424	+	3.87172i	0.847764	+	0.184998i
$439$	16.4536	+	21.4427i	0.785286	+	1.02340i	0.998919	+	0.0464901i	$0.0148036\pi$
$439$	16.4536	+	21.4427i	0.785286	+	1.02340i	−0.213633	+	0.976914i	$0.568530\pi$
$440$	3.10321	−	5.37492i	0.147940	−	0.256239i
$441$	10.7911	−	1.01626i	0.513863	−	0.0483932i
$442$	9.48311	+	23.2779i	0.451065	+	1.10722i
$443$		−	20.4779i		−	0.972936i	−0.873698	−	0.486468i	$-0.838285\pi$
$443$		−	20.4779i		−	0.972936i	0.873698	−	0.486468i	$-0.161715\pi$
$444$	−2.52658	−	7.92162i	−0.119906	−	0.375943i
$445$	7.85816	−	6.02978i	0.372513	−	0.285839i
$446$	−15.0155	+	8.66922i	−0.711006	+	0.410499i
$447$	−22.3732	−	8.05926i	−1.05822	−	0.381190i
$448$	−0.956012	−	7.26163i	−0.0451673	−	0.343080i
$449$	13.0712	−	1.72085i	0.616868	−	0.0812122i	0.184384	−	0.982854i	$-0.440971\pi$
$449$	13.0712	−	1.72085i	0.616868	−	0.0812122i	0.432483	+	0.901642i	$0.357638\pi$
$450$	21.2018	−	1.99668i	0.999461	−	0.0941245i
$451$	3.44306	−	12.8497i	0.162127	−	0.605067i
$452$	−11.0424	−	1.45376i	−0.519392	−	0.0683793i
$453$	26.4655	+	2.22703i	1.24346	+	0.104635i
$454$	−20.1163	−	8.33244i	−0.944104	−	0.391061i
$455$	−4.19117	+	9.64556i	−0.196485	+	0.452191i
$456$	7.47486	+	15.8921i	0.350042	+	0.744215i
$457$	13.9983	−	24.2457i	0.654812	−	1.13417i	−0.327128	−	0.944980i	$-0.606081\pi$
$457$	13.9983	−	24.2457i	0.654812	−	1.13417i	0.981941	−	0.189188i	$-0.0605857\pi$
$458$	38.5950	+	22.2829i	1.80343	+	1.04121i
$459$	−21.4194	+	0.456578i	−0.999773	+	0.0213112i
$460$	5.05129	+	5.05129i	0.235517	+	0.235517i
$461$	26.8772	−	15.5175i	1.25179	−	0.722724i	0.280328	−	0.959904i	$-0.409557\pi$
$461$	26.8772	−	15.5175i	1.25179	−	0.722724i	0.971466	+	0.237181i	$0.0762233\pi$
$462$	−33.7327	+	6.06339i	−1.56939	+	0.282094i
$463$	22.5897	+	22.5897i	1.04983	+	1.04983i	0.998691	+	0.0511428i	$0.0162864\pi$
$463$	22.5897	+	22.5897i	1.04983	+	1.04983i	0.0511428	+	0.998691i	$0.483714\pi$
$464$	4.65029	+	35.3224i	0.215884	+	1.63980i
$465$	−2.17739	−	2.57750i	−0.100974	−	0.119529i
$466$	25.3244	−	19.4321i	1.17313	−	0.900174i
$467$	−27.8032	−	27.8032i	−1.28658	−	1.28658i	−0.936852	−	0.349726i	$-0.886275\pi$
$467$	−27.8032	−	27.8032i	−1.28658	−	1.28658i	−0.349726	−	0.936852i	$-0.613725\pi$
$468$	7.78111	+	5.07358i	0.359682	+	0.234526i
$469$	−12.2581	−	29.5936i	−0.566025	−	1.36651i
$470$	6.68709	+	8.71478i	0.308452	+	0.401983i
$471$	34.9008	+	2.93684i	1.60814	+	0.135323i
$472$	−0.691044	−	1.19692i	−0.0318079	−	0.0550929i
$473$	−14.2748	+	5.91280i	−0.656354	+	0.271871i
$474$	−9.34853	+	42.8403i	−0.429392	+	1.96772i
$475$	21.3098	+	5.70995i	0.977762	+	0.261991i
$476$	−9.23064	−	6.91768i	−0.423086	−	0.317071i
$477$	−6.81998	−	9.60375i	−0.312265	−	0.439726i
$478$	9.02444	−	2.41809i	0.412768	−	0.110601i
$479$	5.19830	+	0.684369i	0.237516	+	0.0312696i	0.248345	−	0.968672i	$-0.420113\pi$
$479$	5.19830	+	0.684369i	0.237516	+	0.0312696i	−0.0108283	+	0.999941i	$0.503447\pi$
$480$	4.76133	−	5.23080i	0.217324	−	0.238752i
$481$	9.77569	+	17.6255i	0.445733	+	0.803655i
$482$	−17.7180	−	42.7750i	−0.807033	−	1.94835i
$483$	−4.39579	+	52.2386i	−0.200015	+	2.37694i
$484$	1.58064	−	0.423530i	0.0718471	−	0.0192514i
$485$	−0.536584	+	2.00256i	−0.0243650	+	0.0909316i
$486$	−21.3366	+	15.4735i	−0.967850	+	0.701893i
$487$	−2.99893	−	22.7792i	−0.135895	−	1.03222i	−0.914465	−	0.404665i	$-0.867388\pi$
$487$	−2.99893	−	22.7792i	−0.135895	−	1.03222i	0.778571	−	0.627557i	$-0.215945\pi$
$488$	−10.7189	−	8.22492i	−0.485223	−	0.372325i
$489$	−24.9257	+	1.17110i	−1.12718	+	0.0529590i
$490$	−0.713910	−	5.42269i	−0.0322512	−	0.244972i
$491$	−5.93124	−	22.1357i	−0.267673	−	0.998969i	−0.960594	−	0.277956i	$-0.910343\pi$
$491$	−5.93124	−	22.1357i	−0.267673	−	0.998969i	0.692921	−	0.721014i	$-0.256323\pi$
$492$	2.52713	−	4.89414i	0.113932	−	0.220645i
$493$	−23.6038	−	17.6893i	−1.06306	−	0.796686i
$494$	19.0613	+	25.7465i	0.857608	+	1.15839i
$495$	7.43286	+	6.15338i	0.334082	+	0.276574i
$496$	10.7425	+	1.41428i	0.482354	+	0.0635031i
$497$	1.02450	−	1.77448i	0.0459550	−	0.0795964i
$498$	−14.6549	−	10.1892i	−0.656701	−	0.456590i
$499$	−33.3060	−	13.7958i	−1.49098	−	0.617584i	−0.519450	−	0.854501i	$-0.673863\pi$
$499$	−33.3060	−	13.7958i	−1.49098	−	0.617584i	−0.971530	+	0.236916i	$0.923863\pi$
$500$	−0.923166	−	7.01214i	−0.0412852	−	0.313593i
$501$	6.94604	−	31.8307i	0.310326	−	1.42209i
$502$	−24.3915			−1.08864
$503$	−14.4573	−	11.0935i	−0.644618	−	0.494633i	0.233951	−	0.972248i	$-0.424835\pi$
$503$	−14.4573	−	11.0935i	−0.644618	−	0.494633i	−0.878569	+	0.477615i	$0.841501\pi$
$504$	18.8453	+	0.697622i	0.839437	+	0.0310746i
$505$	−11.1710	−	1.47069i	−0.497102	−	0.0654448i
$506$		−	56.4315i		−	2.50869i
$507$	−20.9091	−	8.35528i	−0.928605	−	0.371071i
$508$	−4.84797	+	4.84797i	−0.215094	+	0.215094i
$509$	1.27852	+	4.77150i	0.0566694	+	0.211493i	0.988455	−	0.151517i	$-0.0484158\pi$
$509$	1.27852	+	4.77150i	0.0566694	+	0.211493i	−0.931785	+	0.363010i	$0.881749\pi$
$510$	0.630082	+	10.7927i	0.0279005	+	0.477908i
$511$	17.4949	−	10.1007i	0.773930	−	0.446829i
$512$			3.49570i			0.154490i
$513$	−26.3028	+	7.32902i	−1.16130	+	0.323584i
$514$	−0.478746	+	1.78670i	−0.0211166	+	0.0788081i
$515$	10.2896	−	4.26208i	0.453412	−	0.187810i
$516$	−6.29652	+	1.13179i	−0.277189	+	0.0498242i
$517$	3.40245	−	25.8442i	0.149640	−	1.13663i
$518$	−26.6655	−	15.3953i	−1.17161	−	0.676432i
$519$	31.2975	−	1.47047i	1.37381	−	0.0645465i
$520$	−3.20691	+	5.34018i	−0.140632	+	0.234183i
$521$	0.606646	+	1.46457i	0.0265777	+	0.0641641i	0.936611	−	0.350371i	$-0.113944\pi$
$521$	0.606646	+	1.46457i	0.0265777	+	0.0641641i	−0.910034	+	0.414535i	$0.863944\pi$
$522$	−36.2628	−	1.34239i	−1.58718	−	0.0587548i
$523$	−21.2417	−	12.2639i	−0.928836	−	0.536264i	−0.0423928	−	0.999101i	$-0.513498\pi$
$523$	−21.2417	−	12.2639i	−0.928836	−	0.536264i	−0.886443	+	0.462837i	$0.846831\pi$
$524$	−1.53083	−	11.6278i	−0.0668744	−	0.507962i
$525$	15.9464	−	17.5188i	0.695960	−	0.764581i
$526$	−9.64597	+	35.9993i	−0.420584	+	1.56964i
$527$	−7.05445	+	5.54158i	−0.307297	+	0.241395i
$528$	−30.9530	+	1.45429i	−1.34706	+	0.0632897i
$529$	−61.1582	−	16.3873i	−2.65905	−	0.712490i
$530$	−4.71559	+	3.61840i	−0.204832	+	0.157173i
$531$	2.01429	−	0.748307i	0.0874129	−	0.0324738i
$532$	−13.5822	−	5.62594i	−0.588864	−	0.243915i
$533$	−3.67702	+	12.8353i	−0.159269	+	0.555957i
$534$	−30.4803	−	10.9796i	−1.31901	−	0.475134i
$535$	−9.98164	−	5.76290i	−0.431544	−	0.249152i
$536$	−4.91046	−	18.3261i	−0.212099	−	0.791566i
$537$	2.34310	+	13.0354i	0.101112	+	0.562521i
$538$	−6.56574	−	2.71962i	−0.283069	−	0.117251i
$539$	−7.90128	+	10.2971i	−0.340332	+	0.443530i
$540$	2.46362	+	3.14537i	0.106017	+	0.135355i
$541$	−10.2387	+	4.24100i	−0.440195	+	0.182335i	−0.591763	−	0.806112i	$-0.701568\pi$
$541$	−10.2387	+	4.24100i	−0.440195	+	0.182335i	0.151568	+	0.988447i	$0.451568\pi$
$542$	−13.0923	+	48.8612i	−0.562364	+	2.09877i
$543$	4.29006	−	1.36831i	0.184104	−	0.0587196i
$544$	−13.4480	−	13.1458i	−0.576579	−	0.563620i
$545$	−1.36180			−0.0583332
$546$	33.9557	−	5.50215i	1.45317	−	0.235470i
$547$	10.5507	+	4.37024i	0.451115	+	0.186858i	0.596661	−	0.802494i	$-0.296494\pi$
$547$	10.5507	+	4.37024i	0.451115	+	0.186858i	−0.145546	+	0.989352i	$0.546494\pi$
$548$	−7.21952	+	1.93446i	−0.308402	+	0.0826362i
$549$	15.3928	−	14.2939i	0.656951	−	0.610048i
$550$	−15.5240	+	20.2312i	−0.661944	+	0.862663i
$551$	−34.7313	−	14.3862i	−1.47960	−	0.612872i
$552$	−6.61997	+	30.3365i	−0.281765	+	1.29121i
$553$	24.3889	+	42.2428i	1.03712	+	1.79634i
$554$	−1.28503	+	3.10233i	−0.0545955	+	0.131805i
$555$	1.53364	+	8.53217i	0.0650994	+	0.362171i
$556$	4.56782	−	3.50501i	0.193719	−	0.148646i
$557$	4.14805	+	15.4807i	0.175758	+	0.655940i	0.996421	+	0.0845267i	$0.0269378\pi$
$557$	4.14805	+	15.4807i	0.175758	+	0.655940i	−0.820663	+	0.571413i	$0.806396\pi$
$558$	−3.24874	+	10.5471i	−0.137530	+	0.446494i
$559$	14.4269	−	5.68703i	0.610193	−	0.240536i
$560$		−	14.5260i		−	0.613835i
$561$	17.0527	−	19.1673i	0.719967	−	0.809243i
$562$	−19.2855	+	33.4035i	−0.813511	+	1.40904i
$563$	−4.60675	−	1.23438i	−0.194152	−	0.0520227i	0.160433	−	0.987047i	$-0.448711\pi$
$563$	−4.60675	−	1.23438i	−0.194152	−	0.0520227i	−0.354584	+	0.935024i	$0.615378\pi$
$564$	3.65781	−	10.1544i	0.154022	−	0.427577i
$565$	11.2164	+	3.00543i	0.471877	+	0.126439i
$566$	6.24802	+	4.79427i	0.262624	+	0.201518i
$567$	−5.96575	+	28.7064i	−0.250538	+	1.20556i
$568$	0.738808	−	0.962833i	0.0309997	−	0.0403996i
$569$	6.22401	−	1.66772i	0.260924	−	0.0699144i	−0.125985	−	0.992032i	$-0.540209\pi$
$569$	6.22401	−	1.66772i	0.260924	−	0.0699144i	0.386910	+	0.922118i	$0.373543\pi$
$570$	4.18682	+	13.1270i	0.175367	+	0.549828i
$571$	14.9127	−	6.17703i	0.624076	−	0.258501i	−0.0481577	−	0.998840i	$-0.515335\pi$
$571$	14.9127	−	6.17703i	0.624076	−	0.258501i	0.672234	+	0.740339i	$0.265335\pi$
$572$	−10.7923	+	2.69367i	−0.451251	+	0.112628i
$573$	6.30325	−	2.96474i	0.263322	−	0.123854i
$574$	−5.27916	−	19.7021i	−0.220348	−	0.822350i
$575$	23.7449	+	30.9449i	0.990230	+	1.29049i
$576$	6.64995	+	1.12715i	0.277081	+	0.0469644i
$577$	−23.8219	−	23.8219i	−0.991717	−	0.991717i	0.00824850	−	0.999966i	$-0.497374\pi$
$577$	−23.8219	−	23.8219i	−0.991717	−	0.991717i	−0.999966	+	0.00824850i	$0.997374\pi$
$578$	28.7360	−	0.653290i	1.19526	−	0.0271733i
$579$	24.9473	−	16.0097i	1.03678	−	0.665342i
$580$			5.50073i			0.228405i
$581$	−19.6856	+	2.59166i	−0.816698	+	0.107520i
$582$	6.46044	−	2.06055i	0.267794	−	0.0854124i
$583$	13.9843	+	1.84107i	0.579172	+	0.0762495i
$584$	11.0545	−	4.57893i	0.457439	−	0.189478i
$585$	−7.35267	−	6.30330i	−0.303995	−	0.260609i
$586$	−13.2618	−	13.2618i	−0.547839	−	0.547839i
$587$	−14.8718	+	25.7588i	−0.613826	+	1.06318i	0.376763	+	0.926310i	$0.377037\pi$
$587$	−14.8718	+	25.7588i	−0.613826	+	1.06318i	−0.990589	+	0.136868i	$0.956296\pi$
$588$	−4.10530	+	3.46801i	−0.169300	+	0.143018i
$589$	−6.96000	+	9.07045i	−0.286782	+	0.373741i
$590$	−0.414951	−	1.00178i	−0.0170833	−	0.0412427i
$591$	−1.46700	−	2.28596i	−0.0603441	−	0.0940318i
$592$	−22.0857	−	16.9470i	−0.907718	−	0.696517i
$593$	8.60348			0.353303			0.176651	−	0.984274i	$-0.443474\pi$
$593$	8.60348			0.353303			0.176651	+	0.984274i	$0.443474\pi$
$594$	3.80814	−	31.3310i	0.156250	−	1.28553i
$595$	8.60005	+	8.40675i	0.352568	+	0.344643i
$596$	11.3889	−	3.05166i	0.466509	−	0.125001i
$597$	26.1304	−	1.22770i	1.06945	−	0.0502465i
$598$	−0.974460	+	56.6294i	−0.0398486	+	2.31575i
$599$	−19.0909			−0.780034			−0.390017	−	0.920808i	$-0.627531\pi$
$599$	−19.0909			−0.780034			−0.390017	+	0.920808i	$0.627531\pi$
$600$	10.7187	−	9.05479i	0.437589	−	0.369660i
$601$	−1.88456	+	14.3147i	−0.0768728	+	0.583907i	0.909048	+	0.416692i	$0.136811\pi$
$601$	−1.88456	+	14.3147i	−0.0768728	+	0.583907i	−0.985920	+	0.167215i	$0.946523\pi$
$602$	−14.4219	+	18.7949i	−0.587791	+	0.766024i
$603$	29.3676	−	2.76570i	1.19594	−	0.112628i
$604$	−11.4041	+	6.58418i	−0.464028	+	0.267906i
$605$	−1.69149	+	0.222689i	−0.0687690	+	0.00905361i
$606$	15.6857	+	33.3489i	0.637188	+	1.35471i
$607$	17.0151	−	2.24009i	0.690623	−	0.0909223i	0.222958	−	0.974828i	$-0.428429\pi$
$607$	17.0151	−	2.24009i	0.690623	−	0.0909223i	0.467665	+	0.883906i	$0.345095\pi$
$608$	−20.7566	−	11.9838i	−0.841792	−	0.486009i
$609$	−30.8367	+	26.0498i	−1.24957	+	1.05559i
$610$	−7.49534	−	7.49534i	−0.303478	−	0.303478i
$611$	−3.86066	+	25.8760i	−0.156186	+	1.04683i
$612$	8.59035	−	6.24840i	0.347244	−	0.252576i
$613$	8.62404	−	2.31081i	0.348322	−	0.0933325i	−0.0804163	−	0.996761i	$-0.525625\pi$
$613$	8.62404	−	2.31081i	0.348322	−	0.0933325i	0.428738	+	0.903429i	$0.358958\pi$
$614$	−36.3273	+	9.73386i	−1.46605	+	0.392827i
$615$	−3.27825	+	4.71502i	−0.132192	+	0.190128i
$616$	−15.9681	+	15.9681i	−0.643371	+	0.643371i
$617$	−10.0949	+	13.1559i	−0.406406	+	0.529638i	−0.951053	−	0.309027i	$-0.899997\pi$
$617$	−10.0949	+	13.1559i	−0.406406	+	0.529638i	0.544648	+	0.838665i	$0.316663\pi$
$618$	−29.9095	−	20.7954i	−1.20313	−	0.836512i
$619$	26.3168	+	10.9008i	1.05776	+	0.438139i	0.842656	−	0.538452i	$-0.180991\pi$
$619$	26.3168	+	10.9008i	1.05776	+	0.438139i	0.215105	+	0.976591i	$0.430991\pi$
$620$	1.61592	+	0.432985i	0.0648970	+	0.0173891i
$621$	−44.7823	−	18.0296i	−1.79705	−	0.723505i
$622$	8.77043	−	6.72979i	0.351662	−	0.269840i
$623$	−33.2962	+	13.7917i	−1.33398	+	0.552554i
$624$	31.0867	−	0.924889i	1.24446	−	0.0370252i
$625$		−	13.6179i		−	0.544714i
$626$	−2.23316	+	16.9625i	−0.0892550	+	0.677959i
$627$	15.0015	−	29.0524i	0.599101	−	1.16024i
$628$	−15.0389	+	8.68273i	−0.600119	+	0.346479i
$629$	22.8153	−	3.26789i	0.909704	−	0.130299i
$630$	14.5872	+	2.47249i	0.581168	+	0.0985062i
$631$	8.72862	−	5.03947i	0.347481	−	0.200618i	−0.316094	−	0.948728i	$-0.602372\pi$
$631$	8.72862	−	5.03947i	0.347481	−	0.200618i	0.663575	+	0.748110i	$0.269038\pi$
$632$	11.0562	+	26.6919i	0.439790	+	1.06175i
$633$	−6.22458	+	28.5245i	−0.247405	+	1.13375i
$634$	−12.5973	+	9.66623i	−0.500302	+	0.383895i
$635$	5.67095	−	4.35147i	0.225045	−	0.172683i
$636$	5.49457	+	1.97925i	0.217874	+	0.0784824i
$637$	8.10679	−	10.1968i	0.321203	−	0.404012i
$638$	30.7263	−	30.7263i	1.21647	−	1.21647i
$639$	1.28396	+	1.38267i	0.0507925	+	0.0546975i
$640$	1.51033	−	11.4721i	0.0597010	−	0.453474i
$641$	41.6443	−	5.48258i	1.64485	−	0.216549i	0.749530	−	0.661970i	$-0.230279\pi$
$641$	41.6443	−	5.48258i	1.64485	−	0.216549i	0.895321	+	0.445421i	$0.146946\pi$
$642$	1.76928	+	37.6574i	0.0698280	+	1.48622i
$643$	20.0509	−	26.1308i	0.790729	−	1.03050i	−0.207900	−	0.978150i	$-0.566663\pi$
$643$	20.0509	−	26.1308i	0.790729	−	1.03050i	0.998629	−	0.0523478i	$-0.0166704\pi$
$644$	−12.9961	−	22.5099i	−0.512117	−	0.887013i
$645$	6.66255	−	0.313031i	0.262338	−	0.0123256i
$646$	35.2747	−	9.88284i	1.38786	−	0.388835i
$647$	−8.21027	+	14.2206i	−0.322779	+	0.559069i	−0.981060	−	0.193702i	$-0.937950\pi$
$647$	−8.21027	+	14.2206i	−0.322779	+	0.559069i	0.658281	+	0.752772i	$0.271284\pi$
$648$	−5.72261	+	16.3962i	−0.224806	+	0.644103i
$649$	−0.984695	+	2.37726i	−0.0386527	+	0.0933158i
$650$	15.9278	−	20.0341i	0.624738	−	0.785802i
$651$	5.22524	+	11.1092i	0.204793	+	0.435405i
$652$	9.81547	−	7.53168i	0.384404	−	0.294963i
$653$	−4.20137	+	31.9126i	−0.164412	+	1.24884i	0.687901	+	0.725805i	$0.258532\pi$
$653$	−4.20137	+	31.9126i	−0.164412	+	1.24884i	−0.852313	+	0.523032i	$0.824801\pi$
$654$	2.40569	+	3.74869i	0.0940701	+	0.146586i
$655$			12.2276i			0.477773i
$656$	−2.40709	−	18.2837i	−0.0939811	−	0.713857i
$657$	4.14680	+	18.1350i	0.161782	+	0.707514i
$658$	−15.2952	−	36.9259i	−0.596269	−	1.43952i
$659$	−2.48858	−	4.31034i	−0.0969412	−	0.167907i	0.813476	−	0.581599i	$-0.197573\pi$
$659$	−2.48858	−	4.31034i	−0.0969412	−	0.167907i	−0.910417	+	0.413692i	$0.864239\pi$
$660$	−4.76747	−	0.401175i	−0.185574	−	0.0156157i
$661$	−8.67581	−	5.00898i	−0.337450	−	0.194827i	0.321694	−	0.946844i	$-0.395748\pi$
$661$	−8.67581	−	5.00898i	−0.337450	−	0.194827i	−0.659144	+	0.752017i	$0.729081\pi$
$662$	−29.8522			−1.16024
$663$	−17.4435	+	18.9400i	−0.677450	+	0.735569i
$664$	−11.7605			−0.456394
$665$	13.2739	+	7.66371i	0.514741	+	0.297186i
$666$	20.7776	−	19.2942i	0.805117	−	0.747637i
$667$	−33.2325	−	57.5603i	−1.28677	−	2.22874i
$668$	6.18168	+	14.9239i	0.239176	+	0.577423i
$669$	−14.5831	−	10.1393i	−0.563815	−	0.392008i
$670$	−1.94288	−	14.7576i	−0.0750598	−	0.570136i
$671$			25.1542i			0.971068i
$672$	−21.6599	+	13.9000i	−0.835547	+	0.536206i
$673$	2.28755	−	17.3757i	0.0881786	−	0.669783i	−0.889083	−	0.457746i	$-0.848657\pi$
$673$	2.28755	−	17.3757i	0.0881786	−	0.669783i	0.977262	−	0.212037i	$-0.0680097\pi$
$674$	0.154226	−	0.118342i	0.00594056	−	0.00455836i
$675$	11.0950	+	18.7831i	0.427048	+	0.722963i
$676$	10.8767	−	2.51675i	0.418334	−	0.0967981i
$677$	15.6063	−	37.6769i	0.599799	−	1.44804i	−0.273988	−	0.961733i	$-0.588343\pi$
$677$	15.6063	−	37.6769i	0.599799	−	1.44804i	0.873787	−	0.486309i	$-0.161657\pi$
$678$	−11.5412	−	36.1851i	−0.443236	−	1.38968i
$679$	3.77170	−	6.53277i	0.144744	−	0.250705i
$680$	4.40031	+	5.60161i	0.168744	+	0.214812i
$681$	−1.04682	−	22.2805i	−0.0401141	−	0.853789i
$682$	−6.60772	−	11.4449i	−0.253023	−	0.438248i
$683$	1.89931	−	2.47523i	0.0726751	−	0.0947120i	−0.755601	−	0.655032i	$-0.772655\pi$
$683$	1.89931	−	2.47523i	0.0726751	−	0.0947120i	0.828276	+	0.560320i	$0.189322\pi$
$684$	8.63317	−	10.4283i	0.330097	−	0.398735i
$685$	7.72586	−	1.01713i	0.295190	−	0.0388625i
$686$	2.43515	−	18.4968i	0.0929746	−	0.706212i
$687$	−3.82811	+	45.4924i	−0.146052	+	1.73564i
$688$	−15.1456	+	15.1456i	−0.577419	+	0.577419i
$689$	−14.0016	−	2.08901i	−0.533418	−	0.0795850i
$690$	−8.25587	+	22.9190i	−0.314296	+	0.872511i
$691$	21.6725	−	16.6299i	0.824460	−	0.632631i	−0.107900	−	0.994162i	$-0.534413\pi$
$691$	21.6725	−	16.6299i	0.824460	−	0.632631i	0.932360	+	0.361531i	$0.117746\pi$
$692$	−12.3246	+	9.45702i	−0.468512	+	0.359502i
$693$	−20.3284	−	28.6260i	−0.772211	−	1.08741i
$694$	5.57132	+	13.4504i	0.211484	+	0.510569i
$695$	−5.19860	+	3.00142i	−0.197194	+	0.113850i
$696$	−20.1223	+	12.9133i	−0.762735	+	0.489479i
$697$	12.2178	+	9.15636i	0.462784	+	0.346822i
$698$	26.4812	−	15.2889i	1.00233	−	0.578694i
$699$	29.0549	+	15.0028i	1.09896	+	0.567456i
$700$	−1.53311	+	11.6451i	−0.0579462	+	0.440145i
$701$			32.8626i			1.24120i	0.784125	+	0.620602i	$0.213112\pi$
$701$			32.8626i			1.24120i	−0.784125	+	0.620602i	$0.786888\pi$
$702$	−4.36252	+	31.3751i	−0.164653	+	1.18418i
$703$	27.1384	−	11.2411i	1.02354	−	0.423966i
$704$	−6.40769	+	4.91679i	−0.241499	+	0.185309i
$705$	−5.16284	+	9.99853i	−0.194444	+	0.376566i
$706$	−1.29812	−	0.347829i	−0.0488553	−	0.0130907i
$707$	37.8760	+	15.6887i	1.42447	+	0.590036i
$708$	−0.608194	+	0.874750i	−0.0228573	+	0.0328751i
$709$	−15.7074	+	20.4703i	−0.589905	+	0.768779i	−0.988966	−	0.148145i	$-0.952670\pi$
$709$	−15.7074	+	20.4703i	−0.589905	+	0.768779i	0.399060	+	0.916925i	$0.369336\pi$
$710$	0.673273	−	0.673273i	0.0252675	−	0.0252675i
$711$	−43.7883	+	10.0127i	−1.64219	+	0.375507i
$712$	−20.6189	+	5.52483i	−0.772727	+	0.207052i
$713$	−19.5251	+	5.23173i	−0.731220	+	0.195930i
$714$	7.94922	−	38.5247i	0.297492	−	1.44175i
$715$	11.5223	−	1.31569i	0.430910	−	0.0492039i
$716$	−4.64338	−	4.64338i	−0.173531	−	0.173531i
$717$	6.17625	+	7.31120i	0.230656	+	0.273042i
$718$	10.1469	+	5.85830i	0.378678	+	0.218630i
$719$	37.4999	−	4.93695i	1.39851	−	0.184117i	0.606722	−	0.794914i	$-0.292484\pi$
$719$	37.4999	−	4.93695i	1.39851	−	0.184117i	0.791788	+	0.610797i	$0.209151\pi$
$720$	12.7840	+	3.93775i	0.476430	+	0.146751i
$721$	−40.1768	+	5.28938i	−1.49626	+	0.196987i
$722$	12.6119	−	7.28150i	0.469367	−	0.270989i
$723$	31.9266	−	35.0745i	1.18736	−	1.30444i
$724$	−1.35915	+	1.77127i	−0.0505123	+	0.0658289i
$725$	−3.92034	+	29.7780i	−0.145598	+	1.10593i
$726$	3.60112	+	4.26286i	0.133650	+	0.158209i
$727$	16.6580			0.617812			0.308906	−	0.951093i	$-0.400037\pi$
$727$	16.6580			0.617812			0.308906	+	0.951093i	$0.400037\pi$
$728$	16.2998	−	15.7483i	0.604110	−	0.583671i
$729$	−23.6466	−	13.0322i	−0.875801	−	0.482672i
$730$	9.06756	−	2.42964i	0.335605	−	0.0899252i
$731$	−0.201537	−	17.7322i	−0.00745413	−	0.655849i
$732$	−2.22051	+	10.1756i	−0.0820725	+	0.376102i
$733$	18.2121			0.672679			0.336339	−	0.941741i	$-0.390811\pi$
$733$	18.2121			0.672679			0.336339	+	0.941741i	$0.390811\pi$
$734$	6.26928	+	4.81058i	0.231403	+	0.177562i
$735$	4.71547	−	3.02611i	0.173933	−	0.111620i
$736$	−16.2163	−	39.1497i	−0.597742	−	1.44308i
$737$	−21.5030	+	28.0232i	−0.792073	+	1.03225i
$738$	18.7704	+	0.694850i	0.690949	+	0.0255778i
$739$	−13.3303	+	23.0888i	−0.490365	+	0.849337i	−0.999939	−	0.0110903i	$-0.996470\pi$
$739$	−13.3303	+	23.0888i	−0.490365	+	0.849337i	0.509574	+	0.860427i	$0.329803\pi$
$740$	−3.03926	−	3.03926i	−0.111726	−	0.111726i
$741$	−15.5557	+	28.8952i	−0.571454	+	1.06149i
$742$	19.9807	−	8.27626i	0.733513	−	0.303831i
$743$	32.5991	+	4.29175i	1.19594	+	0.157449i	0.702085	−	0.712093i	$-0.252253\pi$
$743$	32.5991	+	4.29175i	1.19594	+	0.157449i	0.493859	+	0.869542i	$0.335586\pi$
$744$	2.20958	+	6.92770i	0.0810070	+	0.253982i
$745$	−12.1877	+	1.60454i	−0.446523	+	0.0587858i
$746$		−	46.4680i		−	1.70131i
$747$	3.05559	−	18.0274i	0.111798	−	0.659589i
$748$	−1.51688	+	12.6294i	−0.0554625	+	0.461775i
$749$	29.6539	+	29.6539i	1.08353	+	1.08353i
$750$	20.2984	−	13.0263i	0.741193	−	0.475654i
$751$	−26.1100	−	34.0272i	−0.952768	−	1.24167i	−0.970320	−	0.241826i	$-0.922254\pi$
$751$	−26.1100	−	34.0272i	−0.952768	−	1.24167i	0.0175514	−	0.999846i	$-0.494413\pi$
$752$	−9.35271	−	34.9048i	−0.341058	−	1.27285i
$753$	−10.6349	−	22.6105i	−0.387556	−	0.823972i
$754$	−31.3646	+	30.3035i	−1.14223	+	1.10359i
$755$	12.6841	−	5.25394i	0.461623	−	0.191210i
$756$	−5.69645	−	13.3746i	−0.207178	−	0.486429i
$757$	−34.4671	+	9.23544i	−1.25273	+	0.335668i	−0.823390	−	0.567475i	$-0.807920\pi$
$757$	−34.4671	+	9.23544i	−1.25273	+	0.335668i	−0.429339	+	0.903143i	$0.641253\pi$
$758$	−4.41633	+	5.75548i	−0.160408	+	0.209048i
$759$	52.3111	−	24.6046i	1.89877	−	0.893089i
$760$	7.20243	+	5.52662i	0.261259	+	0.200471i
$761$	−11.5477	−	3.09420i	−0.418604	−	0.112165i	0.0433678	−	0.999059i	$-0.486191\pi$
$761$	−11.5477	−	3.09420i	−0.418604	−	0.112165i	−0.461972	+	0.886895i	$0.652858\pi$
$762$	−21.9965	−	7.92357i	−0.796849	−	0.287041i
$763$	4.78611	+	1.28244i	0.173269	+	0.0464273i
$764$	−1.72684	+	2.99098i	−0.0624749	+	0.108210i
$765$	−9.72991	+	5.28976i	−0.351786	+	0.191252i
$766$			24.0212i			0.867921i
$767$	1.02920	−	2.36859i	0.0371622	−	0.0855250i
$768$	−27.2002	+	12.7937i	−0.981504	+	0.461651i
$769$	−3.92565	−	14.6507i	−0.141563	−	0.528319i	−0.999884	−	0.0152072i	$-0.995159\pi$
$769$	−3.92565	−	14.6507i	−0.141563	−	0.528319i	0.858322	−	0.513112i	$-0.171507\pi$
$770$	−14.0558	+	10.7854i	−0.506536	+	0.388678i
$771$	−1.86498	+	0.335227i	−0.0671657	+	0.0120729i
$772$	−5.62437	+	13.5784i	−0.202426	+	0.488699i
$773$	−10.2065	−	17.6782i	−0.367102	−	0.635839i	0.622009	−	0.783010i	$-0.286317\pi$
$773$	−10.2065	−	17.6782i	−0.367102	−	0.635839i	−0.989111	+	0.147171i	$0.952983\pi$
$774$	−12.6314	−	17.7873i	−0.454028	−	0.639352i
$775$	8.43913	+	3.49560i	0.303143	+	0.125566i
$776$	2.71993	−	3.54468i	0.0976397	−	0.127246i
$777$	2.64486	−	31.4310i	0.0948839	−	1.12758i
$778$	18.6424	−	4.99520i	0.668361	−	0.179087i
$779$	17.9777	+	7.44660i	0.644117	+	0.266802i
$780$	4.77726	+	0.484906i	0.171053	+	0.0173624i
$781$	−2.25949			−0.0808509
$782$	60.1155	+	24.1039i	2.14972	+	0.861954i
$783$	−14.5665	−	34.2003i	−0.520564	−	1.22222i
$784$	−4.65686	+	17.3796i	−0.166316	+	0.620702i
$785$	16.7269	−	6.92851i	0.597008	−	0.247289i
$786$	33.6595	−	21.6007i	1.20060	−	0.770472i
$787$	8.30162	−	10.8189i	0.295921	−	0.385652i	−0.621603	−	0.783333i	$-0.713518\pi$
$787$	8.30162	−	10.8189i	0.295921	−	0.385652i	0.917524	+	0.397681i	$0.130185\pi$
$788$	1.24421	+	0.515369i	0.0443232	+	0.0183593i
$789$	−37.5764	+	6.75429i	−1.33776	+	0.240459i
$790$	5.86655	+	21.8943i	0.208722	+	0.778963i
$791$	−36.5903	−	21.1254i	−1.30100	−	0.751133i
$792$	−9.72442	−	18.3818i	−0.345542	−	0.653168i
$793$	0.434363	−	25.2424i	0.0154247	−	0.896384i
$794$	−3.72590	−	1.54332i	−0.132227	−	0.0547703i
$795$	−5.41023	−	2.79362i	−0.191881	−	0.0990796i
$796$	−10.2899	+	7.89571i	−0.364716	+	0.279856i
$797$	−40.6031	−	10.8796i	−1.43824	−	0.385374i	−0.546321	−	0.837576i	$-0.683972\pi$
$797$	−40.6031	−	10.8796i	−1.43824	−	0.385374i	−0.891916	+	0.452202i	$0.850639\pi$
$798$	−2.35285	−	50.0781i	−0.0832901	−	1.77275i
$799$	26.0780	+	14.6635i	0.922574	+	0.518759i
$800$	−4.95613	+	18.4965i	−0.175226	+	0.653952i
$801$	−3.11173	−	33.0419i	−0.109948	−	1.16748i
$802$	−4.76166	−	36.1684i	−0.168140	−	1.27715i
$803$	−19.2922	−	11.1383i	−0.680806	−	0.393064i
$804$	−11.1724	+	9.43805i	−0.394020	+	0.332854i
$805$	10.3704	+	25.0364i	0.365509	+	0.882416i
$806$	6.43326	+	11.5991i	0.226602	+	0.408562i
$807$	−0.341670	−	7.27210i	−0.0120274	−	0.255990i
$808$	21.0292	+	12.1412i	0.739803	+	0.427126i
$809$	−4.58589	+	34.8333i	−0.161231	+	1.22467i	0.699132	+	0.714993i	$0.253570\pi$
$809$	−4.58589	+	34.8333i	−0.161231	+	1.22467i	−0.860363	+	0.509681i	$0.829763\pi$
$810$	−6.13032	+	12.1676i	−0.215398	+	0.427526i
$811$	15.8513	−	6.56583i	0.556615	−	0.230557i	−0.0865999	−	0.996243i	$-0.527600\pi$
$811$	15.8513	−	6.56583i	0.556615	−	0.230557i	0.643215	+	0.765686i	$0.277600\pi$
$812$	5.18014	−	19.3326i	0.181787	−	0.678440i
$813$	−51.0019	+	9.16749i	−1.78871	+	0.321518i
$814$			33.9538i			1.19008i
$815$	−11.1709	+	6.44953i	−0.391300	+	0.225917i
$816$	11.6719	−	33.5949i	0.408599	−	1.17606i
$817$	−5.84952	−	21.8307i	−0.204649	−	0.763759i
$818$	−27.6169	+	27.6169i	−0.965603	+	0.965603i
$819$	19.9053	+	29.0774i	0.695549	+	1.01605i
$820$		−	2.84730i		−	0.0994319i
$821$	25.1267	+	3.30800i	0.876929	+	0.115450i	0.555533	−	0.831495i	$-0.312514\pi$
$821$	25.1267	+	3.30800i	0.876929	+	0.115450i	0.321397	+	0.946945i	$0.395848\pi$
$822$	−16.4480	−	19.4705i	−0.573691	−	0.679112i
$823$	25.9235	+	19.8918i	0.903635	+	0.693384i	0.952213	−	0.305436i	$-0.0988020\pi$
$823$	25.9235	+	19.8918i	0.903635	+	0.693384i	−0.0485773	+	0.998819i	$0.515469\pi$
$824$	−24.0021			−0.836154
$825$	−25.5226	−	5.56950i	−0.888582	−	0.193905i
$826$	0.514968	+	3.91157i	0.0179180	+	0.136101i
$827$	8.07482	+	3.34470i	0.280789	+	0.116307i	0.518634	−	0.854997i	$-0.326441\pi$
$827$	8.07482	+	3.34470i	0.280789	+	0.116307i	−0.237845	+	0.971303i	$0.576441\pi$
$828$	23.3334	−	5.33548i	0.810892	−	0.185421i
$829$	4.90201	−	8.49054i	0.170254	−	0.294889i	−0.768255	−	0.640144i	$-0.778875\pi$
$829$	4.90201	−	8.49054i	0.170254	−	0.294889i	0.938509	+	0.345256i	$0.112208\pi$
$830$	−9.14775	−	1.20432i	−0.317523	−	0.0418027i
$831$	−3.43608	+	0.161440i	−0.119196	+	0.00560029i
$832$	6.51506	−	4.82338i	0.225869	−	0.167221i
$833$	−7.59444	−	12.8154i	−0.263132	−	0.444026i
$834$	17.4457	+	9.00827i	0.604096	+	0.311931i
$835$	−4.35890	−	16.2676i	−0.150846	−	0.562964i
$836$	2.11603	+	16.0729i	0.0731845	+	0.555891i
$837$	−11.1935	+	1.58708i	−0.386902	+	0.0548574i
$838$	13.2831	+	10.1925i	0.458857	+	0.352093i
$839$	−3.35307	−	25.4691i	−0.115761	−	0.879292i	−0.946517	−	0.322655i	$-0.895425\pi$
$839$	−3.35307	−	25.4691i	−0.115761	−	0.879292i	0.830756	−	0.556637i	$-0.187909\pi$
$840$	8.82134	−	4.14912i	0.304365	−	0.143158i
$841$	5.74048	−	21.4237i	0.197947	−	0.738750i
$842$	25.1998	−	6.75225i	0.868441	−	0.232698i
$843$	−39.3731	−	3.31318i	−1.35608	−	0.114112i
$844$	−5.53960	−	13.3738i	−0.190681	−	0.460345i
$845$	−11.5854	+	1.12133i	−0.398550	+	0.0385750i
$846$	36.6438	−	3.45094i	1.25984	−	0.118646i
$847$	6.15454	+	0.810260i	0.211472	+	0.0278409i
$848$	18.8870	−	5.06077i	0.648584	−	0.173788i
$849$	−1.72003	+	7.88214i	−0.0590312	+	0.270514i
$850$	−14.9211	−	25.1789i	−0.511790	−	0.863628i
$851$	50.1648	+	13.4416i	1.71963	+	0.460773i
$852$	−0.914032	−	0.199458i	−0.0313142	−	0.00683333i
$853$	39.1652	−	16.2227i	1.34099	−	0.555456i	0.407220	−	0.913330i	$-0.366498\pi$
$853$	39.1652	−	16.2227i	1.34099	−	0.555456i	0.933770	+	0.357874i	$0.116498\pi$
$854$	19.2842	+	33.4012i	0.659892	+	1.14297i
$855$	−10.3430	+	9.60457i	−0.353723	+	0.328469i
$856$	15.1212	+	19.7064i	0.516833	+	0.673549i
$857$	21.2616	+	51.3300i	0.726281	+	1.75340i	0.654606	+	0.755970i	$0.272835\pi$
$857$	21.2616	+	51.3300i	0.726281	+	1.75340i	0.0716757	+	0.997428i	$0.477165\pi$
$858$	−23.9765	−	29.3937i	−0.818544	−	1.00349i
$859$	−3.49570	−	3.49570i	−0.119272	−	0.119272i	0.644952	−	0.764223i	$-0.276878\pi$
$859$	−3.49570	−	3.49570i	−0.119272	−	0.119272i	−0.764223	+	0.644952i	$0.776878\pi$
$860$	−2.62364	+	2.01319i	−0.0894655	+	0.0686493i
$861$	15.9618	−	13.4840i	0.543975	−	0.459532i
$862$	5.60469	+	42.5718i	0.190896	+	1.45000i
$863$	−8.42585	−	8.42585i	−0.286819	−	0.286819i	0.549002	−	0.835821i	$-0.315008\pi$
$863$	−8.42585	−	8.42585i	−0.286819	−	0.286819i	−0.835821	+	0.549002i	$0.815008\pi$
$864$	−6.36146	−	22.8304i	−0.216421	−	0.776706i
$865$	14.0266	−	8.09824i	0.476917	−	0.275348i
$866$	26.2214	+	26.2214i	0.891040	+	0.891040i
$867$	13.1347	+	26.3530i	0.446078	+	0.894994i
$868$	−5.27148	−	3.04349i	−0.178926	−	0.103303i
$869$	26.8943	−	46.5824i	0.912328	−	1.58020i
$870$	−16.9743	+	7.98390i	−0.575484	+	0.270679i
$871$	22.0623	−	27.7502i	0.747552	−	0.940279i
$872$	2.71143	+	1.12311i	0.0918205	+	0.0380333i
$873$	4.72689	+	5.09031i	0.159981	+	0.172281i
$874$	81.8391	+	10.7743i	2.76825	+	0.364447i
$875$	6.94412	−	25.9158i	0.234754	−	0.876114i
$876$	−6.82102	−	6.20883i	−0.230461	−	0.209777i
$877$	29.3320	−	3.86163i	0.990472	−	0.130398i	0.382160	−	0.924096i	$-0.375180\pi$
$877$	29.3320	−	3.86163i	0.990472	−	0.130398i	0.608312	+	0.793698i	$0.291847\pi$
$878$	−5.96486	−	45.3076i	−0.201304	−	1.52906i
$879$	6.51121	−	18.0757i	0.219618	−	0.609677i
$880$	−13.8722	+	8.00912i	−0.467632	+	0.269987i
$881$	16.3782	−	12.5674i	0.551795	−	0.423407i	−0.294867	−	0.955538i	$-0.595275\pi$
$881$	16.3782	−	12.5674i	0.551795	−	0.423407i	0.846662	+	0.532131i	$0.178609\pi$
$882$	−16.6602	−	7.63470i	−0.560980	−	0.257074i
$883$			45.1559i			1.51962i	0.650148	+	0.759808i	$0.274707\pi$
$883$			45.1559i			1.51962i	−0.650148	+	0.759808i	$0.725293\pi$
$884$	1.74028	−	12.6474i	0.0585319	−	0.425379i
$885$	0.747713	−	0.821437i	0.0251341	−	0.0276123i
$886$	−17.3120	+	29.9852i	−0.581606	+	1.00737i
$887$	20.0188	+	26.0890i	0.672165	+	0.875983i	0.997576	−	0.0695903i	$-0.0221692\pi$
$887$	20.0188	+	26.0890i	0.672165	+	0.875983i	−0.325411	+	0.945573i	$0.605503\pi$
$888$	3.98311	−	18.2529i	0.133664	−	0.612526i
$889$	−24.0287	+	9.95299i	−0.805895	+	0.333813i
$890$	−16.6040	+	2.18596i	−0.556567	+	0.0732735i
$891$	30.7037	−	10.1305i	1.02861	−	0.339384i
$892$	8.80642			0.294861
$893$	36.8306	+	9.86872i	1.23249	+	0.330244i
$894$	25.9471	+	30.7151i	0.867801	+	1.02727i
$895$	4.16783	+	5.43163i	0.139315	+	0.181559i
$896$	−16.1116	+	38.8968i	−0.538251	+	1.29945i
$897$	−52.9194	+	23.7875i	−1.76693	+	0.794242i
$898$	−20.5945	−	8.53053i	−0.687248	−	0.284668i
$899$	−13.4798	−	7.78255i	−0.449576	−	0.259563i
$900$	−9.83300	−	4.50606i	−0.327767	−	0.150202i
$901$	−7.93447	+	14.1109i	−0.264335	+	0.470101i
$902$	−15.9046	+	15.9046i	−0.529565	+	0.529565i
$903$	−23.7106	−	5.17409i	−0.789040	−	0.172183i
$904$	−19.8538	−	15.2344i	−0.660329	−	0.506688i
$905$	1.64595	−	1.64595i	0.0547134	−	0.0547134i
$906$	−36.8699	−	25.6348i	−1.22492	−	0.851660i
$907$	0.889488	+	0.117103i	0.0295350	+	0.00388835i	0.145279	−	0.989391i	$-0.453592\pi$
$907$	0.889488	+	0.117103i	0.0295350	+	0.00388835i	−0.115744	+	0.993279i	$0.536925\pi$
$908$	6.73239	+	8.77382i	0.223422	+	0.291169i
$909$	−24.0748	+	29.0808i	−0.798511	+	0.964548i
$910$	14.2913	−	10.5805i	0.473752	−	0.350740i
$911$	−9.83429	+	4.07350i	−0.325825	+	0.134961i	−0.539599	−	0.841922i	$-0.681424\pi$
$911$	−9.83429	+	4.07350i	−0.325825	+	0.134961i	0.213774	+	0.976883i	$0.431424\pi$
$912$	3.80072	−	45.1669i	0.125854	−	1.49563i
$913$	13.3290	+	17.3707i	0.441125	+	0.574886i
$914$	−40.9945	+	23.6682i	−1.35598	+	0.782874i
$915$	3.68003	−	10.2161i	0.121658	−	0.337733i
$916$	−11.3178	−	19.6029i	−0.373949	−	0.647699i
$917$	11.5150	−	42.9745i	0.380258	−	1.41914i
$918$	31.7498	+	17.4393i	1.04790	+	0.575584i
$919$	−18.4550	−	31.9651i	−0.608775	−	1.05443i	−0.991443	−	0.130544i	$-0.958328\pi$
$919$	−18.4550	−	31.9651i	−0.608775	−	1.05443i	0.382667	−	0.923886i	$-0.375006\pi$
$920$	4.15427	+	15.5040i	0.136962	+	0.511150i
$921$	−24.8621	−	29.4307i	−0.819234	−	0.969776i
$922$	−52.4738			−1.72813
$923$	2.26741	+	0.0390169i	0.0746328	+	0.00128426i
$924$	16.3777	+	5.89957i	0.538787	+	0.194082i
$925$	−14.2868	−	18.6190i	−0.469749	−	0.612188i
$926$	−13.9802	−	52.1747i	−0.459417	−	1.71457i
$927$	6.23621	−	36.7925i	0.204824	−	1.20842i
$928$	12.4869	−	30.1461i	0.409904	−	0.989596i
$929$	−30.8169	+	4.05712i	−1.01107	+	0.133110i	−0.617818	−	0.786321i	$-0.711983\pi$
$929$	−30.8169	+	4.05712i	−1.01107	+	0.133110i	−0.393251	+	0.919431i	$0.628650\pi$
$930$	1.00927	+	5.61491i	0.0330952	+	0.184120i
$931$	−13.4247	−	13.4247i	−0.439978	−	0.439978i
$932$	−16.0742	+	2.11621i	−0.526529	+	0.0693189i
$933$	10.0624	+	5.19581i	0.329427	+	0.170103i
$934$	17.2066	+	64.2160i	0.563018	+	2.10121i
$935$	3.28662	−	12.8482i	0.107484	−	0.420180i
$936$	9.44110	+	18.6141i	0.308592	+	0.608422i
$937$	−40.0123	+	40.0123i	−1.30715	+	1.30715i	−0.383680	+	0.923466i	$0.625343\pi$
$937$	−40.0123	+	40.0123i	−1.30715	+	1.30715i	−0.923466	+	0.383680i	$0.874657\pi$
$938$	−7.06920	+	53.6959i	−0.230818	+	1.75323i
$939$	−16.6977	+	5.32569i	−0.544908	+	0.173797i
$940$	−0.728244	−	5.53156i	−0.0237527	−	0.180420i
$941$	−6.64739	+	16.0482i	−0.216699	+	0.523157i	−0.994425	−	0.105446i	$-0.966373\pi$
$941$	−6.64739	+	16.0482i	−0.216699	+	0.523157i	0.777726	+	0.628603i	$0.216373\pi$
$942$	−48.6213	−	33.8053i	−1.58417	−	1.10144i
$943$	17.2018	+	29.7945i	0.560169	+	0.970241i
$944$			3.56705i			0.116097i
$945$	4.06817	+	14.6001i	0.132338	+	0.474942i
$946$	25.9007	+	3.40989i	0.842105	+	0.110865i
$947$	−2.08633	+	15.8472i	−0.0677965	+	0.514966i	0.923528	+	0.383530i	$0.125292\pi$
$947$	−2.08633	+	15.8472i	−0.0677965	+	0.514966i	−0.991325	+	0.131435i	$0.958041\pi$
$948$	14.9917	−	16.4698i	0.486907	−	0.534916i
$949$	19.1675	+	11.5105i	0.622203	+	0.373648i
$950$	−26.3761	−	26.3761i	−0.855755	−	0.855755i
$951$	−14.4529	−	7.46292i	−0.468669	−	0.242002i
$952$	−10.1899	−	23.8310i	−0.330258	−	0.772366i
$953$	−9.69116	−	16.7856i	−0.313927	−	0.543738i	0.665281	−	0.746593i	$-0.268312\pi$
$953$	−9.69116	−	16.7856i	−0.313927	−	0.543738i	−0.979209	+	0.202854i	$0.934978\pi$
$954$	1.86731	+	19.8281i	0.0604564	+	0.641957i
$955$	2.19201	−	2.85669i	0.0709319	−	0.0924402i
$956$	−4.58363	−	1.22818i	−0.148245	−	0.0397222i
$957$	41.8797	+	15.0859i	1.35378	+	0.487657i
$958$	−7.03314	−	5.39672i	−0.227230	−	0.174360i
$959$	−28.1107	−	3.70085i	−0.907742	−	0.119507i
$960$	3.32173	−	1.05946i	0.107208	−	0.0341939i
$961$	18.5730	−	18.5730i	0.599130	−	0.599130i
$962$	0.586314	−	34.0728i	0.0189035	−	1.09855i
$963$	−34.1364	+	18.0590i	−1.10003	+	0.581943i
$964$	−3.06946	+	23.3149i	−0.0988607	+	0.750922i
$965$	7.66157	−	13.2702i	0.246635	−	0.427184i
$966$	50.5989	−	72.7751i	1.62799	−	2.34150i
$967$	−8.38803			−0.269741			−0.134870	−	0.990863i	$-0.543062\pi$
$967$	−8.38803			−0.269741			−0.134870	+	0.990863i	$0.543062\pi$
$968$	3.55152	+	0.951626i	0.114150	+	0.0305864i
$969$	24.5413	+	28.3901i	0.788379	+	0.912020i
$970$	2.47866	−	2.47866i	0.0795849	−	0.0795849i
$971$	5.00995	−	18.6974i	0.160777	−	0.600027i	−0.837764	−	0.546032i	$-0.816138\pi$
$971$	5.00995	−	18.6974i	0.160777	−	0.600027i	0.998541	−	0.0539954i	$-0.0171956\pi$
$972$	13.3149	−	1.38769i	0.427074	−	0.0445100i
$973$	21.0972	−	5.65298i	0.676345	−	0.181226i
$974$	−14.8662	+	35.8901i	−0.476342	+	1.14999i
$975$	25.5159	+	6.02975i	0.817163	+	0.193106i
$976$	13.3443	+	32.2161i	0.427142	+	1.03121i
$977$	4.01332	−	6.95128i	0.128398	−	0.222391i	−0.794658	−	0.607057i	$-0.792350\pi$
$977$	4.01332	−	6.95128i	0.128398	−	0.222391i	0.923056	+	0.384666i	$0.125683\pi$
$978$	37.4879	+	19.3573i	1.19873	+	0.618977i
$979$	31.5294	+	24.1933i	1.00768	+	0.773222i
$980$	−1.06310	+	2.56656i	−0.0339596	+	0.0819856i
$981$	−2.42608	+	3.86450i	−0.0774587	+	0.123384i
$982$	−10.0285	+	37.4268i	−0.320022	+	1.19434i
$983$	−14.5162	−	35.0452i	−0.462995	−	1.11777i	−0.967162	−	0.254162i	$-0.918200\pi$
$983$	−14.5162	−	35.0452i	−0.462995	−	1.11777i	0.504167	−	0.863606i	$-0.331800\pi$
$984$	10.4158	−	6.68423i	0.332042	−	0.213085i
$985$	−1.21597	−	0.702041i	−0.0387441	−	0.0223689i
$986$	19.6079	+	45.8564i	0.624441	+	1.46037i
$987$	27.5608	−	30.2783i	0.877271	−	0.963770i
$988$	−1.84590	−	16.1658i	−0.0587261	−	0.514301i
$989$	15.2915	−	36.9170i	0.486241	−	1.17389i
$990$	−5.68167	−	15.2939i	−0.180575	−	0.486072i
$991$	26.7212	+	34.8237i	0.848826	+	1.10621i	0.993169	+	0.116684i	$0.0372266\pi$
$991$	26.7212	+	34.8237i	0.848826	+	1.10621i	−0.144343	+	0.989528i	$0.546107\pi$
$992$	−7.87298	−	6.04115i	−0.249967	−	0.191807i
$993$	−13.0158	−	27.6725i	−0.413043	−	0.878159i
$994$	−3.00028	+	1.73221i	−0.0951631	+	0.0549424i
$995$	11.7109	−	6.76126i	0.371259	−	0.214346i
$996$	3.85857	+	8.20359i	0.122263	+	0.259941i
$997$	9.80330	+	7.52233i	0.310474	+	0.238235i	0.752231	−	0.658900i	$-0.228978\pi$
$997$	9.80330	+	7.52233i	0.310474	+	0.238235i	−0.441757	+	0.897135i	$0.645645\pi$
$998$	37.1060	+	48.3575i	1.17457	+	1.53073i
$999$	26.9447	+	10.8481i	0.852491	+	0.343218i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	663.2.ck.a.332.18	yes	640
3.2	odd	2	inner	663.2.ck.a.332.63	yes	640
13.2	odd	12		663.2.cf.a.587.18	yes	640
17.2	even	8		663.2.cf.a.410.63	yes	640
39.2	even	12		663.2.cf.a.587.63	yes	640
51.2	odd	8		663.2.cf.a.410.18	✓	640
221.2	odd	24	inner	663.2.ck.a.2.63	yes	640
663.2	even	24	inner	663.2.ck.a.2.18	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cf.a.410.18	✓	640	51.2	odd	8
663.2.cf.a.410.63	yes	640	17.2	even	8
663.2.cf.a.587.18	yes	640	13.2	odd	12
663.2.cf.a.587.63	yes	640	39.2	even	12
663.2.ck.a.2.18	yes	640	663.2	even	24	inner
663.2.ck.a.2.63	yes	640	221.2	odd	24	inner
663.2.ck.a.332.18	yes	640	1.1	even	1	trivial
663.2.ck.a.332.63	yes	640	3.2	odd	2	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:	\( N \)	\(=\)	\( 663 = 3 \cdot 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	663.ck (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.46427 - 0.845396i) q^{2} +(0.145236 - 1.72595i) q^{3} +(0.429387 + 0.743721i) q^{4} +(-0.342636 - 0.827196i) q^{5} +(-1.67178 + 2.40447i) q^{6} +(0.425222 + 3.22988i) q^{7} +1.92957i q^{8} +(-2.95781 - 0.501340i) q^{9} +O(q^{10})\)	\(q+(-1.46427 - 0.845396i) q^{2} +(0.145236 - 1.72595i) q^{3} +(0.429387 + 0.743721i) q^{4} +(-0.342636 - 0.827196i) q^{5} +(-1.67178 + 2.40447i) q^{6} +(0.425222 + 3.22988i) q^{7} +1.92957i q^{8} +(-2.95781 - 0.501340i) q^{9} +(-0.197597 + 1.50090i) q^{10} +(2.85006 - 2.18693i) q^{11} +(1.34599 - 0.633087i) q^{12} +(-2.89782 + 2.14538i) q^{13} +(2.10789 - 5.08890i) q^{14} +(-1.47746 + 0.471234i) q^{15} +(2.49003 - 4.31285i) q^{16} +(1.11233 + 3.97023i) q^{17} +(3.90720 + 3.23462i) q^{18} +(2.62741 + 4.55081i) q^{19} +(0.468079 - 0.610013i) q^{20} +(5.63638 - 0.264818i) q^{21} +(-6.02207 + 0.792821i) q^{22} +(-1.21267 + 9.21114i) q^{23} +(3.33035 + 0.280243i) q^{24} +(2.96868 - 2.96868i) q^{25} +(6.05688 - 0.691611i) q^{26} +(-1.29487 + 5.03223i) q^{27} +(-2.21955 + 1.70312i) q^{28} +(-5.67564 + 4.35507i) q^{29} +(2.56178 + 0.559027i) q^{30} +(0.832614 + 2.01011i) q^{31} +(-3.95002 + 2.28054i) q^{32} +(-3.36060 - 5.23668i) q^{33} +(1.72766 - 6.75384i) q^{34} +(2.52605 - 1.45842i) q^{35} +(-0.897191 - 2.41506i) q^{36} +(0.729640 - 5.54217i) q^{37} -8.88480i q^{38} +(3.28195 + 5.31308i) q^{39} +(1.59614 - 0.661141i) q^{40} +(2.93783 - 2.25428i) q^{41} +(-8.47704 - 4.37720i) q^{42} +(-4.15441 - 1.11317i) q^{43} +(2.85024 + 1.18061i) q^{44} +(0.598746 + 2.61847i) q^{45} +(9.56273 - 12.4624i) q^{46} +(5.13088 - 5.13088i) q^{47} +(-7.08213 - 4.92405i) q^{48} +(-3.48985 + 0.935102i) q^{49} +(-6.85665 + 1.83723i) q^{50} +(7.01397 - 1.34321i) q^{51} +(-2.83985 - 1.23397i) q^{52} +(2.77633 + 2.77633i) q^{53} +(6.15026 - 6.27385i) q^{54} +(-2.78555 - 1.60824i) q^{55} +(-6.23230 + 0.820497i) q^{56} +(8.23606 - 3.87384i) q^{57} +(11.9924 - 1.57883i) q^{58} +(-0.620305 + 0.358133i) q^{59} +(-0.984870 - 0.896478i) q^{60} +(-4.26256 + 5.55508i) q^{61} +(0.480166 - 3.64723i) q^{62} +(0.361542 - 9.76657i) q^{63} -2.24826 q^{64} +(2.76755 + 1.66198i) q^{65} +(0.493749 + 10.5089i) q^{66} +(-9.49747 + 2.54484i) q^{67} +(-2.47512 + 2.53203i) q^{68} +(15.7218 + 3.43079i) q^{69} -4.93175 q^{70} +(-0.498987 - 0.382887i) q^{71} +(0.967372 - 5.70732i) q^{72} +(-2.37303 - 5.72900i) q^{73} +(-5.75371 + 7.49838i) q^{74} +(-4.69264 - 5.55496i) q^{75} +(-2.25635 + 3.90812i) q^{76} +(8.27543 + 8.27543i) q^{77} +(-0.314011 - 10.5543i) q^{78} +(13.8331 - 5.72985i) q^{79} +(-4.42075 - 0.582003i) q^{80} +(8.49732 + 2.96574i) q^{81} +(-6.20753 + 0.817237i) q^{82} +6.09485i q^{83} +(2.61714 + 4.07818i) q^{84} +(2.90303 - 2.28046i) q^{85} +(5.14210 + 5.14210i) q^{86} +(6.69233 + 10.4284i) q^{87} +(4.21984 + 5.49940i) q^{88} +(2.86324 + 10.6858i) q^{89} +(1.33692 - 4.34032i) q^{90} +(-8.16154 - 8.44735i) q^{91} +(-7.37122 + 3.05326i) q^{92} +(3.59027 - 1.14511i) q^{93} +(-11.8506 + 3.17536i) q^{94} +(2.86416 - 3.73265i) q^{95} +(3.36242 + 7.14875i) q^{96} +(-1.83703 - 1.40960i) q^{97} +(5.90061 + 1.58106i) q^{98} +(-9.52634 + 5.03968i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9}+O(q^{10}) \) 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9	\( 640 q - 4 q^{3} + 304 q^{4} - 16 q^{6} - 16 q^{7} - 4 q^{9} - 56 q^{10} - 16 q^{12} + 4 q^{15} - 288 q^{16} - 8 q^{19} - 32 q^{21} - 8 q^{22} + 24 q^{24} - 32 q^{25} - 64 q^{27} - 24 q^{28} - 32 q^{30} - 32 q^{31} - 48 q^{33} - 4 q^{36} + 80 q^{37} + 36 q^{39} + 32 q^{40} - 4 q^{42} - 8 q^{43} - 104 q^{45} - 96 q^{46} + 76 q^{48} - 8 q^{49} + 64 q^{51} + 32 q^{52} - 72 q^{54} + 68 q^{57} - 144 q^{58} + 168 q^{60} - 8 q^{61} + 16 q^{63} - 480 q^{64} - 120 q^{66} - 64 q^{67} - 24 q^{69} - 128 q^{70} + 208 q^{72} + 32 q^{73} + 32 q^{75} + 104 q^{76} - 180 q^{78} - 64 q^{79} + 48 q^{81} - 56 q^{82} - 32 q^{84} + 56 q^{85} - 76 q^{87} + 56 q^{88} - 16 q^{90} - 108 q^{93} + 40 q^{94} + 128 q^{96} - 192 q^{97} - 20 q^{99}+O(q^{100}) \) 640 * q - 4 * q^3 + 304 * q^4 - 16 * q^6 - 16 * q^7 - 4 * q^9 - 56 * q^10 - 16 * q^12 + 4 * q^15 - 288 * q^16 - 8 * q^19 - 32 * q^21 - 8 * q^22 + 24 * q^24 - 32 * q^25 - 64 * q^27 - 24 * q^28 - 32 * q^30 - 32 * q^31 - 48 * q^33 - 4 * q^36 + 80 * q^37 + 36 * q^39 + 32 * q^40 - 4 * q^42 - 8 * q^43 - 104 * q^45 - 96 * q^46 + 76 * q^48 - 8 * q^49 + 64 * q^51 + 32 * q^52 - 72 * q^54 + 68 * q^57 - 144 * q^58 + 168 * q^60 - 8 * q^61 + 16 * q^63 - 480 * q^64 - 120 * q^66 - 64 * q^67 - 24 * q^69 - 128 * q^70 + 208 * q^72 + 32 * q^73 + 32 * q^75 + 104 * q^76 - 180 * q^78 - 64 * q^79 + 48 * q^81 - 56 * q^82 - 32 * q^84 + 56 * q^85 - 76 * q^87 + 56 * q^88 - 16 * q^90 - 108 * q^93 + 40 * q^94 + 128 * q^96 - 192 * q^97 - 20 * q^99

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