LMFDB - Embedded newform 663.2.ck.a.2.18

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

$q$-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 $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$-1$	$e\left(\frac{7}{8}\right)$	$e\left(\frac{1}{12}\right)$

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	−0.918525	−	0.395362i	$-0.870619\pi$
$2$	−1.46427	+	0.845396i	−1.03539	+	0.597785i	−0.116869	+	0.993147i	$0.537286\pi$
$3$	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	−0.981790	−	0.189969i	$-0.939161\pi$
$5$	−0.342636	+	0.827196i	−0.153231	+	0.369933i	0.828559	+	0.559902i	$0.189161\pi$
$6$	−1.67178	−	2.40447i	−0.682500	−	0.981622i
$7$	0.425222	−	3.22988i	0.160719	−	1.22078i	−0.700913	−	0.713247i	$-0.747224\pi$
$7$	0.425222	−	3.22988i	0.160719	−	1.22078i	0.861632	−	0.507534i	$-0.169443\pi$
$8$		−	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	0.941418	−	0.337241i	$-0.109494\pi$
$11$	2.85006	+	2.18693i	0.859326	+	0.659384i	−0.0820928	+	0.996625i	$0.526160\pi$
$12$	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	−0.389631	−	0.920971i	$-0.627397\pi$
$19$	2.62741	−	4.55081i	0.602769	−	1.04403i	0.992400	−	0.123056i	$-0.0392693\pi$
$20$	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	−0.372873	−	0.927882i	$-0.621627\pi$
$23$	−1.21267	−	9.21114i	−0.252859	−	1.92065i	0.120014	−	0.992772i	$-0.461706\pi$
$24$	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	−0.0719038	−	0.997412i	$-0.522907\pi$
$29$	−5.67564	−	4.35507i	−1.05394	−	0.808716i	−0.982036	+	0.188695i	$0.939574\pi$
$30$	2.56178	−	0.559027i	0.467715	−	0.102064i
$31$	0.832614	−	2.01011i	0.149542	−	0.361026i	−0.831302	−	0.555821i	$-0.812404\pi$
$31$	0.832614	−	2.01011i	0.149542	−	0.361026i	0.980844	+	0.194795i	$0.0624040\pi$
$32$	−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	0.940558	+	0.339632i	$0.110303\pi$
$37$	0.729640	+	5.54217i	0.119952	+	0.911126i	−0.820606	+	0.571494i	$0.806364\pi$
$38$			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	0.812162	−	0.583432i	$-0.198291\pi$
$41$	2.93783	+	2.25428i	0.458812	+	0.352059i	−0.353349	+	0.935491i	$0.614957\pi$
$42$	−8.47704	+	4.37720i	−1.30804	+	0.675417i
$43$	−4.15441	+	1.11317i	−0.633542	+	0.169757i	−0.561276	−	0.827628i	$-0.689690\pi$
$43$	−4.15441	+	1.11317i	−0.633542	+	0.169757i	−0.0722655	+	0.997385i	$0.523023\pi$
$44$	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	0.974182	−	0.225766i	$-0.0724884\pi$
$47$	5.13088	+	5.13088i	0.748416	+	0.748416i	−0.225766	+	0.974182i	$0.572488\pi$
$48$	−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	−0.490233	−	0.871591i	$-0.663088\pi$
$53$	2.77633	−	2.77633i	0.381358	−	0.381358i	0.871591	+	0.490233i	$0.163088\pi$
$54$	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	0.459078	−	0.888396i	$-0.348180\pi$
$59$	−0.620305	−	0.358133i	−0.0807568	−	0.0466250i	−0.539835	+	0.841771i	$0.681513\pi$
$60$	−0.984870	+	0.896478i	−0.127146	+	0.115735i
$61$	−4.26256	−	5.55508i	−0.545765	−	0.711255i	0.436299	−	0.899802i	$-0.356289\pi$
$61$	−4.26256	−	5.55508i	−0.545765	−	0.711255i	−0.982064	+	0.188547i	$0.939622\pi$
$62$	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	−0.373215	−	0.927745i	$-0.621745\pi$
$67$	−9.49747	−	2.54484i	−1.16030	−	0.310902i	−0.787086	+	0.616843i	$0.788411\pi$
$68$	−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	−0.637947	−	0.770080i	$-0.720216\pi$
$71$	−0.498987	+	0.382887i	−0.0592189	+	0.0454403i	0.578728	+	0.815521i	$0.303549\pi$
$72$	0.967372	+	5.70732i	0.114006	+	0.672614i
$73$	−2.37303	+	5.72900i	−0.277742	+	0.670529i	−0.999772	−	0.0213327i	$-0.993209\pi$
$73$	−2.37303	+	5.72900i	−0.277742	+	0.670529i	0.722030	+	0.691861i	$0.243209\pi$
$74$	−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	0.984449	−	0.175670i	$-0.0562091\pi$
$79$	13.8331	+	5.72985i	1.55634	+	0.644658i	0.571893	+	0.820328i	$0.306209\pi$
$80$	−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	$-0.891433\pi$
$83$		−	6.09485i		−	0.668996i	0.942396	−	0.334498i	$-0.108567\pi$
$84$	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	−0.630724	−	0.776007i	$-0.717242\pi$
$89$	2.86324	−	10.6858i	0.303503	−	1.13269i	0.934227	−	0.356680i	$-0.116091\pi$
$90$	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	−0.697802	−	0.716291i	$-0.745838\pi$
$97$	−1.83703	+	1.40960i	−0.186522	+	0.143123i	0.511280	+	0.859414i	$0.329172\pi$
$98$	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	0.988328	+	0.152339i	$0.0486806\pi$
$101$	6.29216	+	10.8983i	0.626094	+	1.08443i	−0.362235	+	0.932087i	$0.617986\pi$
$102$	−11.4059	+	3.96276i	−1.12935	+	0.392372i
$103$		−	12.4391i		−	1.22566i	−0.790215	−	0.612830i	$-0.790031\pi$
$103$		−	12.4391i		−	1.22566i	0.790215	−	0.612830i	$-0.209969\pi$
$104$	−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	0.970210	−	0.242265i	$-0.0778903\pi$
$107$	10.2128	+	7.83656i	0.987309	+	0.757589i	0.0170990	+	0.999854i	$0.494557\pi$
$108$	−4.29857	−	1.19775i	−0.413630	−	0.115254i
$109$	0.582051	+	1.40519i	0.0557503	+	0.134593i	0.949300	−	0.314370i	$-0.101793\pi$
$109$	0.582051	+	1.40519i	0.0557503	+	0.134593i	−0.893550	+	0.448963i	$0.851793\pi$
$110$	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	−0.999999	−	0.00159330i	$-0.999493\pi$
$113$	−7.89521	−	10.2892i	−0.742719	−	0.967930i	0.257280	−	0.966337i	$-0.417174\pi$
$114$	−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	−0.811623	−	0.584182i	$-0.801416\pi$
$127$	2.06629	−	7.71151i	0.183354	−	0.684286i	0.994977	−	0.100105i	$-0.0319178\pi$
$128$	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	−0.858305	−	0.513140i	$-0.828482\pi$
$131$	−12.6172	+	5.22623i	−1.10237	+	0.456618i	−0.244068	+	0.969758i	$0.578482\pi$
$132$	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	−0.992912	−	0.118853i	$-0.962078\pi$
$137$	−2.25259	−	8.40676i	−0.192451	−	0.718238i	0.800461	−	0.599385i	$-0.204588\pi$
$138$	−20.1206	+	18.3148i	−1.71278	+	1.55906i
$139$	−0.875106	+	6.64709i	−0.0742255	+	0.563799i	0.913411	+	0.407038i	$0.133438\pi$
$139$	−0.875106	+	6.64709i	−0.0742255	+	0.563799i	−0.987637	+	0.156761i	$0.949895\pi$
$140$	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	0.944255	+	0.329216i	$0.106784\pi$
$149$	3.55350	+	13.2618i	0.291114	+	1.08645i	−0.653141	+	0.757237i	$0.726549\pi$
$150$	2.17514	−	12.1011i	0.177600	−	0.988049i
$151$		−	15.3339i		−	1.24785i	−0.781483	−	0.623927i	$-0.785536\pi$
$151$		−	15.3339i		−	1.24785i	0.781483	−	0.623927i	$-0.214464\pi$
$152$	−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	$-0.701136\pi$
$157$		−	20.2212i		−	1.61383i	0.590669	−	0.806914i	$-0.298864\pi$
$158$	−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	0.744923	+	0.667150i	$0.232486\pi$
$163$	−1.88045	+	14.2835i	−0.147289	+	1.11877i	−0.892212	+	0.451618i	$0.850847\pi$
$164$	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	0.632036	−	0.774939i	$-0.282220\pi$
$167$	18.6490	−	2.45519i	1.44310	−	0.189988i	0.811069	+	0.584951i	$0.198886\pi$
$168$	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	−0.630063	−	0.776544i	$-0.716971\pi$
$173$	2.36116	−	17.9348i	0.179516	−	1.36356i	0.809578	−	0.587012i	$-0.199696\pi$
$174$	−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	−0.0280048	−	0.999608i	$-0.508915\pi$
$179$	−7.38608	−	1.97909i	−0.552062	−	0.147924i	−0.524057	+	0.851683i	$0.675582\pi$
$180$	−1.69032	−	1.56964i	−0.125989	−	0.116994i
$181$	0.994900	−	2.40190i	0.0739503	−	0.178532i	−0.882582	−	0.470159i	$-0.844197\pi$
$181$	0.994900	−	2.40190i	0.0739503	−	0.178532i	0.956532	+	0.291627i	$0.0941966\pi$
$182$	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	−0.784061	−	0.620684i	$-0.786855\pi$
$191$	2.01082	−	3.48284i	0.145498	−	0.252009i	0.929559	+	0.368675i	$0.120188\pi$
$192$	−0.326529	−	3.88039i	−0.0235652	−	0.280043i
$193$	10.4184	−	13.5776i	0.749935	−	0.977334i	−0.250024	−	0.968240i	$-0.580439\pi$
$193$	10.4184	−	13.5776i	0.749935	−	0.977334i	0.999959	−	0.00909424i	$-0.00289483\pi$
$194$	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	0.652131	−	0.758106i	$-0.273875\pi$
$197$	1.24413	+	0.954655i	0.0886407	+	0.0680164i	−0.563490	+	0.826123i	$0.690542\pi$
$198$	18.2096	−	0.674090i	1.29410	−	0.0479055i
$199$	1.97134	−	14.9738i	0.139745	−	1.06147i	−0.767555	−	0.640983i	$-0.778527\pi$
$199$	1.97134	−	14.9738i	0.139745	−	1.06147i	0.907300	−	0.420484i	$-0.138140\pi$
$200$	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	−0.681559	−	0.731763i	$-0.738698\pi$
$211$	−16.7120	+	2.20018i	−1.15050	+	0.151466i	−0.468942	+	0.883229i	$0.655365\pi$
$212$	−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	0.985053	−	0.172254i	$-0.0551049\pi$
$223$	5.12731	+	8.88077i	0.343350	+	0.594700i	−0.641702	+	0.766954i	$0.721772\pi$
$224$	−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	0.541715	−	0.840562i	$-0.317775\pi$
$227$	12.7677	+	1.68089i	0.847419	+	0.111565i	0.305704	+	0.952127i	$0.401108\pi$
$228$	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	−0.962692	−	0.270599i	$-0.912778\pi$
$233$	−7.22474	−	17.4421i	−0.473308	−	1.14267i	0.489384	−	0.872069i	$-0.337222\pi$
$234$	−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	0.569354	−	0.822093i	$-0.307194\pi$
$239$	−3.90725	−	3.90725i	−0.252739	−	0.252739i	−0.822093	+	0.569354i	$0.807194\pi$
$240$	−1.64656	−	7.54547i	−0.106285	−	0.487058i
$241$	21.7246	−	16.6699i	1.39940	−	1.07380i	0.412773	−	0.910834i	$-0.364560\pi$
$241$	21.7246	−	16.6699i	1.39940	−	1.07380i	0.986632	−	0.162967i	$-0.0521064\pi$
$242$	−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	0.839460	−	0.543422i	$-0.182872\pi$
$251$	12.4933	+	7.21303i	0.788573	+	0.455283i	−0.0508871	+	0.998704i	$0.516205\pi$
$252$	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	−0.974195	−	0.225710i	$-0.927530\pi$
$257$	−0.283149	+	1.05673i	−0.0176623	+	0.0659168i	0.956532	+	0.291627i	$0.0941965\pi$
$258$	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	0.532696	+	0.846307i	$0.321179\pi$
$263$	−5.70501	+	21.2914i	−0.351786	+	1.31288i	−0.884481	+	0.466575i	$0.845488\pi$
$264$	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	0.256490	−	0.966547i	$-0.417434\pi$
$269$	4.16722	+	0.548625i	0.254080	+	0.0334503i	−0.00241018	+	0.999997i	$0.500767\pi$
$270$	−7.29700	+	2.93782i	−0.444082	+	0.178790i
$271$	−7.74331	+	28.8984i	−0.470373	+	1.75546i	0.168059	+	0.985777i	$0.446250\pi$
$271$	−7.74331	+	28.8984i	−0.470373	+	1.75546i	−0.638432	+	0.769678i	$0.720417\pi$
$272$	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	−0.997466	−	0.0711401i	$-0.977336\pi$
$277$	−0.259227	+	1.96902i	−0.0155754	+	0.118307i	0.981891	+	0.189447i	$0.0606696\pi$
$278$	−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	$0.238210\pi$
$281$			22.8124i			1.36087i	−0.732806	+	0.680437i	$0.761790\pi$
$282$	3.75938	−	20.9147i	0.223868	−	1.24546i
$283$	−4.61800	+	0.607971i	−0.274512	+	0.0361401i	−0.266525	−	0.963828i	$-0.585876\pi$
$283$	−4.61800	+	0.607971i	−0.274512	+	0.0361401i	−0.00798651	+	0.999968i	$0.502542\pi$
$284$	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	0.0681162	−	0.997677i	$-0.478301\pi$
$293$	10.7145	−	2.87093i	0.625945	−	0.167722i	0.557829	+	0.829956i	$0.311634\pi$
$294$	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	0.995229	−	0.0975632i	$-0.0311048\pi$
$307$	15.7284	+	15.7284i	0.897666	+	0.897666i	−0.0975632	+	0.995229i	$0.531105\pi$
$308$	−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	0.836926	−	0.547316i	$-0.184350\pi$
$311$	−2.50210	−	6.04060i	−0.141881	−	0.342531i	−0.978807	+	0.204785i	$0.934350\pi$
$312$	−10.2520	−	6.33277i	−0.580403	−	0.358523i
$313$	−3.87233	+	9.34862i	−0.218877	+	0.528415i	−0.994734	−	0.102494i	$-0.967318\pi$
$313$	−3.87233	+	9.34862i	−0.218877	+	0.528415i	0.775857	+	0.630909i	$0.217318\pi$
$314$	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	0.992096	−	0.125480i	$-0.0400470\pi$
$317$	3.59385	+	8.67632i	0.201851	+	0.487311i	−0.790246	+	0.612790i	$0.790047\pi$
$318$	−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	0.857411	−	0.514632i	$-0.172072\pi$
$331$	15.2903	+	8.82787i	0.840432	+	0.485224i	−0.0169792	+	0.999856i	$0.505405\pi$
$332$	−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	0.922677	−	0.385575i	$-0.125997\pi$
$337$	−0.0439988	−	0.106222i	−0.00239677	−	0.00578631i	−0.925073	+	0.379788i	$0.875997\pi$
$338$	−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	−0.775638	−	0.631178i	$-0.782572\pi$
$347$	−6.83117	+	5.24174i	−0.366717	+	0.281391i	0.408921	+	0.912570i	$0.365905\pi$
$348$	−4.88220	−	9.45504i	−0.261714	−	0.506844i
$349$	−9.04247	−	15.6620i	−0.484032	−	0.838368i	0.515800	−	0.856709i	$-0.327495\pi$
$349$	−9.04247	−	15.6620i	−0.484032	−	0.838368i	−0.999832	+	0.0183410i	$0.994162\pi$
$350$	−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	0.279193	−	0.960235i	$-0.409933\pi$
$353$	0.767757	+	0.205720i	0.0408636	+	0.0109494i	−0.238329	+	0.971184i	$0.576600\pi$
$354$	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	−0.250490	−	0.968119i	$-0.580592\pi$
$367$	−4.63371	+	0.610040i	−0.241878	+	0.0318438i	0.00861249	+	0.999963i	$0.497259\pi$
$368$	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	−0.252784	−	0.967523i	$-0.581346\pi$
$373$	13.7415	−	23.8010i	0.711507	−	1.23237i	0.964291	−	0.264844i	$-0.0853204\pi$
$374$	−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	0.999790	−	0.0204757i	$-0.00651807\pi$
$379$	0.560044	+	4.25396i	0.0287675	+	0.218511i	−0.971023	+	0.238987i	$0.923185\pi$
$380$	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	−0.988449	−	0.151555i	$-0.951572\pi$
$383$	−7.10354	+	12.3037i	−0.362974	+	0.628689i	0.625475	+	0.780244i	$0.284905\pi$
$384$	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	0.472234	−	0.881473i	$-0.343448\pi$
$389$	−8.07146	−	8.07146i	−0.409239	−	0.409239i	−0.881473	+	0.472234i	$0.843448\pi$
$390$	−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	0.189635	−	0.981855i	$-0.439270\pi$
$397$	2.36480	+	0.311331i	0.118686	+	0.0156253i	−0.0709493	+	0.997480i	$0.522603\pi$
$398$	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	−0.340428	−	0.940271i	$-0.610572\pi$
$401$	13.1346	−	17.1174i	0.655913	−	0.854802i	0.996341	+	0.0854685i	$0.0272387\pi$
$402$	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	0.940723	+	0.339175i	$0.110148\pi$
$409$	5.97856	+	22.3123i	0.295621	+	1.10327i	−0.645103	+	0.764096i	$0.723185\pi$
$410$	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	−0.366464	−	0.930432i	$-0.619432\pi$
$419$	−9.81774	+	1.29253i	−0.479628	+	0.0631442i	−0.113164	+	0.993576i	$0.536098\pi$
$420$	2.47673	+	3.56222i	0.120852	+	0.173818i
$421$	−10.9106	−	10.9106i	−0.531749	−	0.531749i	0.389344	−	0.921093i	$-0.372702\pi$
$421$	−10.9106	−	10.9106i	−0.531749	−	0.531749i	−0.921093	+	0.389344i	$0.872702\pi$
$422$	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	0.255309	+	0.966859i	$0.417823\pi$
$431$	−15.4600	+	20.1479i	−0.744684	+	0.970491i	−0.999993	+	0.00363198i	$0.998844\pi$
$432$	18.4790	−	18.1150i	0.889072	−	0.871557i
$433$	−21.1848	+	5.67646i	−1.01808	+	0.272793i	−0.729001	−	0.684513i	$-0.760015\pi$
$433$	−21.1848	+	5.67646i	−1.01808	+	0.272793i	−0.289077	+	0.957306i	$0.593348\pi$
$434$	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	−0.213633	−	0.976914i	$-0.568530\pi$
$439$	16.4536	−	21.4427i	0.785286	−	1.02340i	0.998919	−	0.0464901i	$-0.0148036\pi$
$440$	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	$0.161715\pi$
$443$			20.4779i			0.972936i	−0.873698	+	0.486468i	$0.838285\pi$
$444$	−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	0.432483	−	0.901642i	$-0.357638\pi$
$449$	13.0712	+	1.72085i	0.616868	+	0.0812122i	0.184384	+	0.982854i	$0.440971\pi$
$450$	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	0.981941	+	0.189188i	$0.0605857\pi$
$457$	13.9983	+	24.2457i	0.654812	+	1.13417i	−0.327128	+	0.944980i	$0.606081\pi$
$458$	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	0.971466	−	0.237181i	$-0.0762233\pi$
$461$	26.8772	+	15.5175i	1.25179	+	0.722724i	0.280328	+	0.959904i	$0.409557\pi$
$462$	−33.7327	−	6.06339i	−1.56939	−	0.282094i
$463$	22.5897	−	22.5897i	1.04983	−	1.04983i	0.0511428	−	0.998691i	$-0.483714\pi$
$463$	22.5897	−	22.5897i	1.04983	−	1.04983i	0.998691	−	0.0511428i	$-0.0162864\pi$
$464$	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	−0.349726	+	0.936852i	$0.613725\pi$
$467$	−27.8032	+	27.8032i	−1.28658	+	1.28658i	−0.936852	+	0.349726i	$0.886275\pi$
$468$	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	−0.0108283	−	0.999941i	$-0.503447\pi$
$479$	5.19830	−	0.684369i	0.237516	−	0.0312696i	0.248345	+	0.968672i	$0.420113\pi$
$480$	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	0.778571	+	0.627557i	$0.215945\pi$
$487$	−2.99893	+	22.7792i	−0.135895	+	1.03222i	−0.914465	+	0.404665i	$0.867388\pi$
$488$	−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	0.692921	+	0.721014i	$0.256323\pi$
$491$	−5.93124	+	22.1357i	−0.267673	+	0.998969i	−0.960594	+	0.277956i	$0.910343\pi$
$492$	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	−0.971530	−	0.236916i	$-0.923863\pi$
$499$	−33.3060	+	13.7958i	−1.49098	+	0.617584i	−0.519450	+	0.854501i	$0.673863\pi$
$500$	−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	−0.878569	−	0.477615i	$-0.841501\pi$
$503$	−14.4573	+	11.0935i	−0.644618	+	0.494633i	0.233951	+	0.972248i	$0.424835\pi$
$504$	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	−0.931785	−	0.363010i	$-0.881749\pi$
$509$	1.27852	−	4.77150i	0.0566694	−	0.211493i	0.988455	+	0.151517i	$0.0484158\pi$
$510$	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	−0.910034	−	0.414535i	$-0.863944\pi$
$521$	0.606646	−	1.46457i	0.0265777	−	0.0641641i	0.936611	+	0.350371i	$0.113944\pi$
$522$	−36.2628	+	1.34239i	−1.58718	+	0.0587548i
$523$	−21.2417	+	12.2639i	−0.928836	+	0.536264i	−0.886443	−	0.462837i	$-0.846831\pi$
$523$	−21.2417	+	12.2639i	−0.928836	+	0.536264i	−0.0423928	+	0.999101i	$0.513498\pi$
$524$	−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	0.151568	−	0.988447i	$-0.451568\pi$
$541$	−10.2387	−	4.24100i	−0.440195	−	0.182335i	−0.591763	+	0.806112i	$0.701568\pi$
$542$	−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	−0.145546	−	0.989352i	$-0.546494\pi$
$547$	10.5507	−	4.37024i	0.451115	−	0.186858i	0.596661	+	0.802494i	$0.296494\pi$
$548$	−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	−0.820663	−	0.571413i	$-0.806396\pi$
$557$	4.14805	−	15.4807i	0.175758	−	0.655940i	0.996421	−	0.0845267i	$-0.0269378\pi$
$558$	−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	−0.354584	−	0.935024i	$-0.615378\pi$
$563$	−4.60675	+	1.23438i	−0.194152	+	0.0520227i	0.160433	+	0.987047i	$0.448711\pi$
$564$	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	0.386910	−	0.922118i	$-0.373543\pi$
$569$	6.22401	+	1.66772i	0.260924	+	0.0699144i	−0.125985	+	0.992032i	$0.540209\pi$
$570$	4.18682	−	13.1270i	0.175367	−	0.549828i
$571$	14.9127	+	6.17703i	0.624076	+	0.258501i	0.672234	−	0.740339i	$-0.265335\pi$
$571$	14.9127	+	6.17703i	0.624076	+	0.258501i	−0.0481577	+	0.998840i	$0.515335\pi$
$572$	−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	−0.999966	−	0.00824850i	$-0.997374\pi$
$577$	−23.8219	+	23.8219i	−0.991717	+	0.991717i	0.00824850	+	0.999966i	$0.497374\pi$
$578$	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	−0.990589	−	0.136868i	$-0.956296\pi$
$587$	−14.8718	−	25.7588i	−0.613826	−	1.06318i	0.376763	−	0.926310i	$-0.377037\pi$
$588$	−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	−0.985920	−	0.167215i	$-0.946523\pi$
$601$	−1.88456	−	14.3147i	−0.0768728	−	0.583907i	0.909048	−	0.416692i	$-0.136811\pi$
$602$	−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	0.467665	−	0.883906i	$-0.345095\pi$
$607$	17.0151	+	2.24009i	0.690623	+	0.0909223i	0.222958	+	0.974828i	$0.428429\pi$
$608$	−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	0.428738	−	0.903429i	$-0.358958\pi$
$613$	8.62404	+	2.31081i	0.348322	+	0.0933325i	−0.0804163	+	0.996761i	$0.525625\pi$
$614$	−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	0.544648	−	0.838665i	$-0.316663\pi$
$617$	−10.0949	−	13.1559i	−0.406406	−	0.529638i	−0.951053	+	0.309027i	$0.899997\pi$
$618$	−29.9095	+	20.7954i	−1.20313	+	0.836512i
$619$	26.3168	−	10.9008i	1.05776	−	0.438139i	0.215105	−	0.976591i	$-0.430991\pi$
$619$	26.3168	−	10.9008i	1.05776	−	0.438139i	0.842656	+	0.538452i	$0.180991\pi$
$620$	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	0.663575	−	0.748110i	$-0.269038\pi$
$631$	8.72862	+	5.03947i	0.347481	+	0.200618i	−0.316094	+	0.948728i	$0.602372\pi$
$632$	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	0.895321	−	0.445421i	$-0.146946\pi$
$641$	41.6443	+	5.48258i	1.64485	+	0.216549i	0.749530	+	0.661970i	$0.230279\pi$
$642$	1.76928	−	37.6574i	0.0698280	−	1.48622i
$643$	20.0509	+	26.1308i	0.790729	+	1.03050i	0.998629	+	0.0523478i	$0.0166704\pi$
$643$	20.0509	+	26.1308i	0.790729	+	1.03050i	−0.207900	+	0.978150i	$0.566663\pi$
$644$	−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	0.658281	−	0.752772i	$-0.271284\pi$
$647$	−8.21027	−	14.2206i	−0.322779	−	0.559069i	−0.981060	+	0.193702i	$0.937950\pi$
$648$	−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	−0.852313	−	0.523032i	$-0.824801\pi$
$653$	−4.20137	−	31.9126i	−0.164412	−	1.24884i	0.687901	−	0.725805i	$-0.258532\pi$
$654$	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	−0.910417	−	0.413692i	$-0.864239\pi$
$659$	−2.48858	+	4.31034i	−0.0969412	+	0.167907i	0.813476	+	0.581599i	$0.197573\pi$
$660$	−4.76747	+	0.401175i	−0.185574	+	0.0156157i
$661$	−8.67581	+	5.00898i	−0.337450	+	0.194827i	−0.659144	−	0.752017i	$-0.729081\pi$
$661$	−8.67581	+	5.00898i	−0.337450	+	0.194827i	0.321694	+	0.946844i	$0.395748\pi$
$662$	−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	0.977262	+	0.212037i	$0.0680097\pi$
$673$	2.28755	+	17.3757i	0.0881786	+	0.669783i	−0.889083	+	0.457746i	$0.848657\pi$
$674$	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	0.873787	+	0.486309i	$0.161657\pi$
$677$	15.6063	+	37.6769i	0.599799	+	1.44804i	−0.273988	+	0.961733i	$0.588343\pi$
$678$	−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	0.828276	−	0.560320i	$-0.189322\pi$
$683$	1.89931	+	2.47523i	0.0726751	+	0.0947120i	−0.755601	+	0.655032i	$0.772655\pi$
$684$	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	0.932360	−	0.361531i	$-0.117746\pi$
$691$	21.6725	+	16.6299i	0.824460	+	0.632631i	−0.107900	+	0.994162i	$0.534413\pi$
$692$	−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	$-0.786888\pi$
$701$		−	32.8626i		−	1.24120i	0.784125	−	0.620602i	$-0.213112\pi$
$702$	−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	0.399060	−	0.916925i	$-0.369336\pi$
$709$	−15.7074	−	20.4703i	−0.589905	−	0.768779i	−0.988966	+	0.148145i	$0.952670\pi$
$710$	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	0.791788	−	0.610797i	$-0.209151\pi$
$719$	37.4999	+	4.93695i	1.39851	+	0.184117i	0.606722	+	0.794914i	$0.292484\pi$
$720$	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	0.509574	−	0.860427i	$-0.329803\pi$
$739$	−13.3303	−	23.0888i	−0.490365	−	0.849337i	−0.999939	+	0.0110903i	$0.996470\pi$
$740$	−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	0.493859	−	0.869542i	$-0.335586\pi$
$743$	32.5991	−	4.29175i	1.19594	−	0.157449i	0.702085	+	0.712093i	$0.252253\pi$
$744$	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	0.0175514	+	0.999846i	$0.494413\pi$
$751$	−26.1100	+	34.0272i	−0.952768	+	1.24167i	−0.970320	+	0.241826i	$0.922254\pi$
$752$	−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	−0.429339	−	0.903143i	$-0.641253\pi$
$757$	−34.4671	−	9.23544i	−1.25273	−	0.335668i	−0.823390	+	0.567475i	$0.807920\pi$
$758$	−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	−0.461972	−	0.886895i	$-0.652858\pi$
$761$	−11.5477	+	3.09420i	−0.418604	+	0.112165i	0.0433678	+	0.999059i	$0.486191\pi$
$762$	−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	0.858322	+	0.513112i	$0.171507\pi$
$769$	−3.92565	+	14.6507i	−0.141563	+	0.528319i	−0.999884	+	0.0152072i	$0.995159\pi$
$770$	−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	−0.989111	−	0.147171i	$-0.952983\pi$
$773$	−10.2065	+	17.6782i	−0.367102	+	0.635839i	0.622009	+	0.783010i	$0.286317\pi$
$774$	−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	0.917524	−	0.397681i	$-0.130185\pi$
$787$	8.30162	+	10.8189i	0.295921	+	0.385652i	−0.621603	+	0.783333i	$0.713518\pi$
$788$	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	−0.891916	−	0.452202i	$-0.850639\pi$
$797$	−40.6031	+	10.8796i	−1.43824	+	0.385374i	−0.546321	+	0.837576i	$0.683972\pi$
$798$	−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	−0.860363	−	0.509681i	$-0.829763\pi$
$809$	−4.58589	−	34.8333i	−0.161231	−	1.22467i	0.699132	−	0.714993i	$-0.253570\pi$
$810$	−6.13032	−	12.1676i	−0.215398	−	0.427526i
$811$	15.8513	+	6.56583i	0.556615	+	0.230557i	0.643215	−	0.765686i	$-0.277600\pi$
$811$	15.8513	+	6.56583i	0.556615	+	0.230557i	−0.0865999	+	0.996243i	$0.527600\pi$
$812$	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	0.321397	−	0.946945i	$-0.395848\pi$
$821$	25.1267	−	3.30800i	0.876929	−	0.115450i	0.555533	+	0.831495i	$0.312514\pi$
$822$	−16.4480	+	19.4705i	−0.573691	+	0.679112i
$823$	25.9235	−	19.8918i	0.903635	−	0.693384i	−0.0485773	−	0.998819i	$-0.515469\pi$
$823$	25.9235	−	19.8918i	0.903635	−	0.693384i	0.952213	+	0.305436i	$0.0988020\pi$
$824$	−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	−0.237845	−	0.971303i	$-0.576441\pi$
$827$	8.07482	−	3.34470i	0.280789	−	0.116307i	0.518634	+	0.854997i	$0.326441\pi$
$828$	23.3334	+	5.33548i	0.810892	+	0.185421i
$829$	4.90201	+	8.49054i	0.170254	+	0.294889i	0.938509	−	0.345256i	$-0.112208\pi$
$829$	4.90201	+	8.49054i	0.170254	+	0.294889i	−0.768255	+	0.640144i	$0.778875\pi$
$830$	−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	0.830756	+	0.556637i	$0.187909\pi$
$839$	−3.35307	+	25.4691i	−0.115761	+	0.879292i	−0.946517	+	0.322655i	$0.895425\pi$
$840$	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	0.933770	−	0.357874i	$-0.116498\pi$
$853$	39.1652	+	16.2227i	1.34099	+	0.555456i	0.407220	+	0.913330i	$0.366498\pi$
$854$	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	0.0716757	−	0.997428i	$-0.477165\pi$
$857$	21.2616	−	51.3300i	0.726281	−	1.75340i	0.654606	−	0.755970i	$-0.272835\pi$
$858$	−23.9765	+	29.3937i	−0.818544	+	1.00349i
$859$	−3.49570	+	3.49570i	−0.119272	+	0.119272i	−0.764223	−	0.644952i	$-0.776878\pi$
$859$	−3.49570	+	3.49570i	−0.119272	+	0.119272i	0.644952	+	0.764223i	$0.276878\pi$
$860$	−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	−0.835821	−	0.549002i	$-0.815008\pi$
$863$	−8.42585	+	8.42585i	−0.286819	+	0.286819i	0.549002	+	0.835821i	$0.315008\pi$
$864$	−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	0.608312	−	0.793698i	$-0.291847\pi$
$877$	29.3320	+	3.86163i	0.990472	+	0.130398i	0.382160	+	0.924096i	$0.375180\pi$
$878$	−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	0.846662	−	0.532131i	$-0.178609\pi$
$881$	16.3782	+	12.5674i	0.551795	+	0.423407i	−0.294867	+	0.955538i	$0.595275\pi$
$882$	−16.6602	+	7.63470i	−0.560980	+	0.257074i
$883$		−	45.1559i		−	1.51962i	−0.650148	−	0.759808i	$-0.725293\pi$
$883$		−	45.1559i		−	1.51962i	0.650148	−	0.759808i	$-0.274707\pi$
$884$	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	−0.325411	−	0.945573i	$-0.605503\pi$
$887$	20.0188	−	26.0890i	0.672165	−	0.875983i	0.997576	+	0.0695903i	$0.0221692\pi$
$888$	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	−0.115744	−	0.993279i	$-0.536925\pi$
$907$	0.889488	−	0.117103i	0.0295350	−	0.00388835i	0.145279	+	0.989391i	$0.453592\pi$
$908$	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	0.213774	−	0.976883i	$-0.431424\pi$
$911$	−9.83429	−	4.07350i	−0.325825	−	0.134961i	−0.539599	+	0.841922i	$0.681424\pi$
$912$	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	0.382667	+	0.923886i	$0.375006\pi$
$919$	−18.4550	+	31.9651i	−0.608775	+	1.05443i	−0.991443	+	0.130544i	$0.958328\pi$
$920$	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	−0.393251	−	0.919431i	$-0.628650\pi$
$929$	−30.8169	−	4.05712i	−1.01107	−	0.133110i	−0.617818	+	0.786321i	$0.711983\pi$
$930$	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	−0.923466	−	0.383680i	$-0.874657\pi$
$937$	−40.0123	−	40.0123i	−1.30715	−	1.30715i	−0.383680	−	0.923466i	$-0.625343\pi$
$938$	−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	0.777726	−	0.628603i	$-0.216373\pi$
$941$	−6.64739	−	16.0482i	−0.216699	−	0.523157i	−0.994425	+	0.105446i	$0.966373\pi$
$942$	−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	−0.991325	−	0.131435i	$-0.958041\pi$
$947$	−2.08633	−	15.8472i	−0.0677965	−	0.514966i	0.923528	−	0.383530i	$-0.125292\pi$
$948$	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	−0.979209	−	0.202854i	$-0.934978\pi$
$953$	−9.69116	+	16.7856i	−0.313927	+	0.543738i	0.665281	+	0.746593i	$0.268312\pi$
$954$	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	0.998541	+	0.0539954i	$0.0171956\pi$
$971$	5.00995	+	18.6974i	0.160777	+	0.600027i	−0.837764	+	0.546032i	$0.816138\pi$
$972$	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	0.923056	−	0.384666i	$-0.125683\pi$
$977$	4.01332	+	6.95128i	0.128398	+	0.222391i	−0.794658	+	0.607057i	$0.792350\pi$
$978$	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	0.504167	+	0.863606i	$0.331800\pi$
$983$	−14.5162	+	35.0452i	−0.462995	+	1.11777i	−0.967162	+	0.254162i	$0.918200\pi$
$984$	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	−0.144343	−	0.989528i	$-0.546107\pi$
$991$	26.7212	−	34.8237i	0.848826	−	1.10621i	0.993169	−	0.116684i	$-0.0372266\pi$
$992$	−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	−0.441757	−	0.897135i	$-0.645645\pi$
$997$	9.80330	−	7.52233i	0.310474	−	0.238235i	0.752231	+	0.658900i	$0.228978\pi$
$998$	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.2.18	yes	640
3.2	odd	2	inner	663.2.ck.a.2.63	yes	640
13.7	odd	12		663.2.cf.a.410.18	✓	640
17.9	even	8		663.2.cf.a.587.63	yes	640
39.20	even	12		663.2.cf.a.410.63	yes	640
51.26	odd	8		663.2.cf.a.587.18	yes	640
221.111	odd	24	inner	663.2.ck.a.332.63	yes	640
663.332	even	24	inner	663.2.ck.a.332.18	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cf.a.410.18	✓	640	13.7	odd	12
663.2.cf.a.410.63	yes	640	39.20	even	12
663.2.cf.a.587.18	yes	640	51.26	odd	8
663.2.cf.a.587.63	yes	640	17.9	even	8
663.2.ck.a.2.18	yes	640	1.1	even	1	trivial
663.2.ck.a.2.63	yes	640	3.2	odd	2	inner
663.2.ck.a.332.18	yes	640	663.332	even	24	inner
663.2.ck.a.332.63	yes	640	221.111	odd	24	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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