LMFDB - Embedded newform 300.2.w.a.223.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			223.20
Character	$\chi$	$=$	300.223
Dual form			300.2.w.a.187.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.618749 - 1.27167i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.23430 - 1.57369i) q^{4} +(-2.17923 + 0.500947i) q^{5} +(-1.41397 + 0.0260173i) q^{6} +(-0.974356 - 0.974356i) q^{7} +(-2.76494 + 0.595902i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})$	\(q+(0.618749 - 1.27167i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.23430 - 1.57369i) q^{4} +(-2.17923 + 0.500947i) q^{5} +(-1.41397 + 0.0260173i) q^{6} +(-0.974356 - 0.974356i) q^{7} +(-2.76494 + 0.595902i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-0.711358 + 3.08123i) q^{10} +(-1.28653 - 1.77076i) q^{11} +(-0.841810 + 1.81421i) q^{12} +(0.471971 + 2.97991i) q^{13} +(-1.84194 + 0.636179i) q^{14} +(1.43570 + 1.71428i) q^{15} +(-0.953014 + 3.88481i) q^{16} +(-0.167947 - 0.0855735i) q^{17} +(0.665112 + 1.24805i) q^{18} +(-2.61894 - 8.06028i) q^{19} +(3.47816 + 2.81112i) q^{20} +(-0.425809 + 1.31051i) q^{21} +(-3.04786 + 0.540389i) q^{22} +(0.127074 - 0.802316i) q^{23} +(1.78621 + 2.19305i) q^{24} +(4.49810 - 2.18336i) q^{25} +(4.08150 + 1.24362i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-0.330690 + 2.73598i) q^{28} +(-9.37232 - 3.04525i) q^{29} +(3.06834 - 0.765024i) q^{30} +(4.18430 - 1.35956i) q^{31} +(4.35053 + 3.61565i) q^{32} +(-0.993683 + 1.95021i) q^{33} +(-0.212739 + 0.160626i) q^{34} +(2.61145 + 1.63525i) q^{35} +(1.99865 - 0.0735756i) q^{36} +(6.96951 - 1.10386i) q^{37} +(-11.8705 - 1.65685i) q^{38} +(2.44085 - 1.77338i) q^{39} +(5.72693 - 2.68370i) q^{40} +(-2.94227 - 2.13768i) q^{41} +(1.40306 + 1.35236i) q^{42} +(1.86758 - 1.86758i) q^{43} +(-1.19866 + 4.21024i) q^{44} +(0.875646 - 2.05749i) q^{45} +(-0.941655 - 0.658029i) q^{46} +(-5.26420 + 2.68224i) q^{47} +(3.89405 - 0.914526i) q^{48} -5.10126i q^{49} +(0.00668054 - 7.07106i) q^{50} +0.188492i q^{51} +(4.10691 - 4.42084i) q^{52} +(6.90236 - 3.51693i) q^{53} +(0.810065 - 1.15922i) q^{54} +(3.69070 + 3.21440i) q^{55} +(3.27466 + 2.11342i) q^{56} +(-5.99278 + 5.99278i) q^{57} +(-9.67167 + 10.0343i) q^{58} +(-4.74817 - 3.44975i) q^{59} +(0.925676 - 4.37529i) q^{60} +(-2.78978 + 2.02689i) q^{61} +(0.860117 - 6.16229i) q^{62} +(1.36098 - 0.215559i) q^{63} +(7.28980 - 3.29527i) q^{64} +(-2.52131 - 6.25748i) q^{65} +(1.86519 + 2.47033i) q^{66} +(-3.24954 + 6.37758i) q^{67} +(0.0726310 + 0.369921i) q^{68} +(-0.772559 + 0.251020i) q^{69} +(3.69533 - 2.30910i) q^{70} +(9.69583 + 3.15037i) q^{71} +(1.14310 - 2.58715i) q^{72} +(0.675143 + 0.106932i) q^{73} +(2.90863 - 9.54595i) q^{74} +(-3.98748 - 3.01661i) q^{75} +(-9.45184 + 14.0702i) q^{76} +(-0.471809 + 2.97889i) q^{77} +(-0.744885 - 4.20124i) q^{78} +(3.74116 - 11.5141i) q^{79} +(0.130752 - 8.94332i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-4.53896 + 2.41891i) q^{82} +(-6.86210 - 3.49641i) q^{83} +(2.58791 - 0.947463i) q^{84} +(0.408864 + 0.102352i) q^{85} +(-1.21938 - 3.53051i) q^{86} +(1.54160 + 9.73331i) q^{87} +(4.61238 + 4.12939i) q^{88} +(4.99353 + 6.87300i) q^{89} +(-2.07464 - 2.38660i) q^{90} +(2.44363 - 3.36336i) q^{91} +(-1.41945 + 0.790321i) q^{92} +(-3.11101 - 3.11101i) q^{93} +(0.153714 + 8.35397i) q^{94} +(9.74506 + 16.2533i) q^{95} +(1.24646 - 5.51782i) q^{96} +(5.10182 + 10.0129i) q^{97} +(-6.48713 - 3.15640i) q^{98} +2.18877 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.618749	−	1.27167i	0.437522	−	0.899208i
$2$	0.618749	−	1.27167i	0.437522	−	0.899208i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$3$	−0.453990	−	0.891007i	−0.262112	−	0.514423i
$4$	−1.23430	−	1.57369i	−0.617149	−	0.786846i
$5$	−2.17923	+	0.500947i	−0.974582	+	0.224030i
$5$	−2.17923	+	0.500947i	−0.974582	+	0.224030i
$6$	−1.41397	+	0.0260173i	−0.577253	+	0.0106215i
$7$	−0.974356	−	0.974356i	−0.368272	−	0.368272i	0.498575	−	0.866847i	$-0.333857\pi$
$7$	−0.974356	−	0.974356i	−0.368272	−	0.368272i	−0.866847	+	0.498575i	$0.833857\pi$
$8$	−2.76494	+	0.595902i	−0.977554	+	0.210683i
$9$	−0.587785	+	0.809017i	−0.195928	+	0.269672i
$10$	−0.711358	+	3.08123i	−0.224951	+	0.974370i
$11$	−1.28653	−	1.77076i	−0.387903	−	0.533903i	0.569753	−	0.821816i	$-0.307039\pi$
$11$	−1.28653	−	1.77076i	−0.387903	−	0.533903i	−0.957657	+	0.287913i	$0.907039\pi$
$12$	−0.841810	+	1.81421i	−0.243010	+	0.523717i
$13$	0.471971	+	2.97991i	0.130901	+	0.826478i	0.962536	+	0.271155i	$0.0874056\pi$
$13$	0.471971	+	2.97991i	0.130901	+	0.826478i	−0.831634	+	0.555324i	$0.812594\pi$
$14$	−1.84194	+	0.636179i	−0.492280	+	0.170026i
$15$	1.43570	+	1.71428i	0.370696	+	0.442626i
$16$	−0.953014	+	3.88481i	−0.238253	+	0.971203i
$17$	−0.167947	−	0.0855735i	−0.0407332	−	0.0207546i	0.433505	−	0.901151i	$-0.357277\pi$
$17$	−0.167947	−	0.0855735i	−0.0407332	−	0.0207546i	−0.474239	+	0.880396i	$0.657277\pi$
$18$	0.665112	+	1.24805i	0.156769	+	0.294168i
$19$	−2.61894	−	8.06028i	−0.600827	−	1.84915i	−0.523271	−	0.852166i	$-0.675288\pi$
$19$	−2.61894	−	8.06028i	−0.600827	−	1.84915i	−0.0775557	−	0.996988i	$-0.524712\pi$
$20$	3.47816	+	2.81112i	0.777740	+	0.628586i
$21$	−0.425809	+	1.31051i	−0.0929192	+	0.285976i
$22$	−3.04786	+	0.540389i	−0.649806	+	0.115211i
$23$	0.127074	−	0.802316i	0.0264968	−	0.167294i	−0.970892	−	0.239520i	$-0.923010\pi$
$23$	0.127074	−	0.802316i	0.0264968	−	0.167294i	0.997388	+	0.0722253i	$0.0230100\pi$
$24$	1.78621	+	2.19305i	0.364609	+	0.447654i
$25$	4.49810	−	2.18336i	0.899621	−	0.436672i
$26$	4.08150	+	1.24362i	0.800448	+	0.243895i
$27$	0.987688	+	0.156434i	0.190081	+	0.0301058i
$28$	−0.330690	+	2.73598i	−0.0624946	+	0.517052i
$29$	−9.37232	−	3.04525i	−1.74040	−	0.565489i	−0.745510	−	0.666495i	$-0.767794\pi$
$29$	−9.37232	−	3.04525i	−1.74040	−	0.565489i	−0.994886	+	0.101006i	$0.967794\pi$
$30$	3.06834	−	0.765024i	0.560201	−	0.139674i
$31$	4.18430	−	1.35956i	0.751523	−	0.244185i	0.0918864	−	0.995769i	$-0.470710\pi$
$31$	4.18430	−	1.35956i	0.751523	−	0.244185i	0.659636	+	0.751585i	$0.270710\pi$
$32$	4.35053	+	3.61565i	0.769072	+	0.639162i
$33$	−0.993683	+	1.95021i	−0.172978	+	0.339488i
$34$	−0.212739	+	0.160626i	−0.0364844	+	0.0275471i
$35$	2.61145	+	1.63525i	0.441416	+	0.276407i
$36$	1.99865	−	0.0735756i	0.333108	−	0.0122626i
$37$	6.96951	−	1.10386i	1.14578	−	0.181474i	0.445460	−	0.895302i	$-0.353040\pi$
$37$	6.96951	−	1.10386i	1.14578	−	0.181474i	0.700321	+	0.713828i	$0.253040\pi$
$38$	−11.8705	−	1.65685i	−1.92565	−	0.268777i
$39$	2.44085	−	1.77338i	0.390849	−	0.283968i
$40$	5.72693	−	2.68370i	0.905508	−	0.424330i
$41$	−2.94227	−	2.13768i	−0.459505	−	0.333850i	0.333832	−	0.942633i	$-0.391658\pi$
$41$	−2.94227	−	2.13768i	−0.459505	−	0.333850i	−0.793337	+	0.608783i	$0.791658\pi$
$42$	1.40306	+	1.35236i	0.216498	+	0.208674i
$43$	1.86758	−	1.86758i	0.284803	−	0.284803i	−0.550218	−	0.835021i	$-0.685455\pi$
$43$	1.86758	−	1.86758i	0.284803	−	0.284803i	0.835021	+	0.550218i	$0.185455\pi$
$44$	−1.19866	+	4.21024i	−0.180705	+	0.634718i
$45$	0.875646	−	2.05749i	0.130534	−	0.306712i
$46$	−0.941655	−	0.658029i	−0.138839	−	0.0970211i
$47$	−5.26420	+	2.68224i	−0.767862	+	0.391245i	−0.793613	−	0.608423i	$-0.791802\pi$
$47$	−5.26420	+	2.68224i	−0.767862	+	0.391245i	0.0257506	+	0.999668i	$0.491802\pi$
$48$	3.89405	−	0.914526i	0.562058	−	0.132001i
$49$		−	5.10126i		−	0.728751i
$50$	0.00668054	−	7.07106i	0.000944772	−	1.00000i
$51$			0.188492i			0.0263941i
$52$	4.10691	−	4.42084i	0.569526	−	0.613060i
$53$	6.90236	−	3.51693i	0.948112	−	0.483087i	0.0896554	−	0.995973i	$-0.471423\pi$
$53$	6.90236	−	3.51693i	0.948112	−	0.483087i	0.858457	+	0.512885i	$0.171423\pi$
$54$	0.810065	−	1.15922i	0.110236	−	0.157750i
$55$	3.69070	+	3.21440i	0.497654	+	0.433430i
$56$	3.27466	+	2.11342i	0.437595	+	0.282417i
$57$	−5.99278	+	5.99278i	−0.793764	+	0.793764i
$58$	−9.67167	+	10.0343i	−1.26995	+	1.31756i
$59$	−4.74817	−	3.44975i	−0.618159	−	0.449119i	0.234119	−	0.972208i	$-0.424780\pi$
$59$	−4.74817	−	3.44975i	−0.618159	−	0.449119i	−0.852278	+	0.523089i	$0.824780\pi$
$60$	0.925676	−	4.37529i	0.119504	−	0.564847i
$61$	−2.78978	+	2.02689i	−0.357195	+	0.259517i	−0.751881	−	0.659299i	$-0.770853\pi$
$61$	−2.78978	+	2.02689i	−0.357195	+	0.259517i	0.394686	+	0.918816i	$0.370853\pi$
$62$	0.860117	−	6.16229i	0.109235	−	0.782611i
$63$	1.36098	−	0.215559i	0.171468	−	0.0271578i
$64$	7.28980	−	3.29527i	0.911225	−	0.411909i
$65$	−2.52131	−	6.25748i	−0.312730	−	0.776145i
$66$	1.86519	+	2.47033i	0.229589	+	0.304077i
$67$	−3.24954	+	6.37758i	−0.396994	+	0.779145i	−0.999825	−	0.0187240i	$-0.994040\pi$
$67$	−3.24954	+	6.37758i	−0.396994	+	0.779145i	0.602830	+	0.797869i	$0.294040\pi$
$68$	0.0726310	+	0.369921i	0.00880780	+	0.0448595i
$69$	−0.772559	+	0.251020i	−0.0930052	+	0.0302192i
$70$	3.69533	−	2.30910i	0.441676	−	0.275990i
$71$	9.69583	+	3.15037i	1.15068	+	0.373880i	0.821401	−	0.570352i	$-0.193193\pi$
$71$	9.69583	+	3.15037i	1.15068	+	0.373880i	0.329283	+	0.944231i	$0.393193\pi$
$72$	1.14310	−	2.58715i	0.134715	−	0.304898i
$73$	0.675143	+	0.106932i	0.0790195	+	0.0125155i	0.195819	−	0.980640i	$-0.437263\pi$
$73$	0.675143	+	0.106932i	0.0790195	+	0.0125155i	−0.116800	+	0.993156i	$0.537263\pi$
$74$	2.90863	−	9.54595i	0.338121	−	1.10969i
$75$	−3.98748	−	3.01661i	−0.460435	−	0.348329i
$76$	−9.45184	+	14.0702i	−1.08420	+	1.61396i
$77$	−0.471809	+	2.97889i	−0.0537676	+	0.339476i
$78$	−0.744885	−	4.20124i	−0.0843416	−	0.475696i
$79$	3.74116	−	11.5141i	0.420913	−	1.29544i	−0.485940	−	0.873992i	$-0.661523\pi$
$79$	3.74116	−	11.5141i	0.420913	−	1.29544i	0.906853	−	0.421446i	$-0.138477\pi$
$80$	0.130752	−	8.94332i	0.0146185	−	0.999893i
$81$	−0.309017	−	0.951057i	−0.0343352	−	0.105673i
$82$	−4.53896	+	2.41891i	−0.501244	+	0.267124i
$83$	−6.86210	−	3.49641i	−0.753213	−	0.383781i	0.0348365	−	0.999393i	$-0.488909\pi$
$83$	−6.86210	−	3.49641i	−0.753213	−	0.383781i	−0.788050	+	0.615612i	$0.788909\pi$
$84$	2.58791	−	0.947463i	0.282364	−	0.103377i
$85$	0.408864	+	0.102352i	0.0443476	+	0.0111016i
$86$	−1.21938	−	3.53051i	−0.131490	−	0.380705i
$87$	1.54160	+	9.73331i	0.165277	+	1.04352i
$88$	4.61238	+	4.12939i	0.491681	+	0.440195i
$89$	4.99353	+	6.87300i	0.529313	+	0.728536i	0.987025	−	0.160564i	$-0.0513312\pi$
$89$	4.99353	+	6.87300i	0.529313	+	0.728536i	−0.457713	+	0.889100i	$0.651331\pi$
$90$	−2.07464	−	2.38660i	−0.218686	−	0.251570i
$91$	2.44363	−	3.36336i	0.256162	−	0.352576i
$92$	−1.41945	+	0.790321i	−0.147987	+	0.0823967i
$93$	−3.11101	−	3.11101i	−0.322597	−	0.322597i
$94$	0.153714	+	8.35397i	0.0158544	+	0.861646i
$95$	9.74506	+	16.2533i	0.999822	+	1.66755i
$96$	1.24646	−	5.51782i	0.127217	−	0.563160i
$97$	5.10182	+	10.0129i	0.518012	+	1.01665i	0.990782	+	0.135469i	$0.0432541\pi$
$97$	5.10182	+	10.0129i	0.518012	+	1.01665i	−0.472770	+	0.881186i	$0.656746\pi$
$98$	−6.48713	−	3.15640i	−0.655299	−	0.318845i
$99$	2.18877			0.219980
$100$	−8.98794	−	4.38371i	−0.898794	−	0.438371i
$101$	1.67080			0.166251			0.0831254	−	0.996539i	$-0.473510\pi$
$101$	1.67080			0.166251			0.0831254	+	0.996539i	$0.473510\pi$
$102$	0.239700	+	0.116629i	0.0237338	+	0.0115480i
$103$	8.43482	+	16.5543i	0.831107	+	1.63114i	0.774355	+	0.632752i	$0.218075\pi$
$103$	8.43482	+	16.5543i	0.831107	+	1.63114i	0.0567528	+	0.998388i	$0.481925\pi$
$104$	−3.08071	−	7.95803i	−0.302088	−	0.780349i
$105$	0.271443	−	3.06921i	0.0264901	−	0.299524i
$106$	−0.201548	−	10.9536i	−0.0195761	−	1.06391i
$107$	−9.55038	−	9.55038i	−0.923270	−	0.923270i	0.0739892	−	0.997259i	$-0.476427\pi$
$107$	−9.55038	−	9.55038i	−0.923270	−	0.923270i	−0.997259	+	0.0739892i	$0.976427\pi$
$108$	−0.972923	−	1.74740i	−0.0936195	−	0.168144i
$109$	4.83533	−	6.65526i	0.463140	−	0.637458i	−0.512016	−	0.858976i	$-0.671101\pi$
$109$	4.83533	−	6.65526i	0.463140	−	0.637458i	0.975156	+	0.221518i	$0.0711011\pi$
$110$	6.37129	−	2.70445i	0.607478	−	0.257859i
$111$	−4.14764	−	5.70874i	−0.393677	−	0.541849i
$112$	4.71377	−	2.85662i	0.445409	−	0.269925i
$113$	−0.707497	−	4.46696i	−0.0665558	−	0.420216i	−0.998360	−	0.0572543i	$-0.981765\pi$
$113$	−0.707497	−	4.46696i	−0.0665558	−	0.420216i	0.931804	−	0.362962i	$-0.118235\pi$
$114$	3.91282	+	11.3289i	0.366470	+	1.06105i
$115$	0.124993	+	1.81209i	0.0116557	+	0.168978i
$116$	6.77595	+	18.5079i	0.629131	+	1.71841i
$117$	−2.68822	−	1.36971i	−0.248526	−	0.126630i
$118$	−7.32488	+	3.90359i	−0.674310	+	0.359354i
$119$	0.0802616	+	0.247020i	0.00735757	+	0.0226443i
$120$	−4.99117	−	3.88436i	−0.455629	−	0.354592i
$121$	1.91877	−	5.90536i	0.174433	−	0.536851i
$122$	0.851370	+	4.80183i	0.0770794	+	0.434737i
$123$	−0.568928	+	3.59207i	−0.0512985	+	0.323886i
$124$	−7.30421	−	4.90670i	−0.655937	−	0.440634i
$125$	−8.70866	+	7.01136i	−0.778927	+	0.627115i
$126$	0.567988	−	1.86410i	0.0506004	−	0.166067i
$127$	−19.0138	−	3.01149i	−1.68720	−	0.267227i	−0.762244	−	0.647290i	$-0.775902\pi$
$127$	−19.0138	−	3.01149i	−1.68720	−	0.267227i	−0.924960	+	0.380063i	$0.875902\pi$
$128$	0.320060	−	11.3092i	0.0282896	−	0.999600i
$129$	−2.51189	−	0.816162i	−0.221159	−	0.0718591i
$130$	−9.51753	−	0.665530i	−0.834742	−	0.0583709i
$131$	7.36328	−	2.39248i	0.643333	−	0.209032i	0.0308607	−	0.999524i	$-0.490175\pi$
$131$	7.36328	−	2.39248i	0.643333	−	0.209032i	0.612472	+	0.790492i	$0.290175\pi$
$132$	4.29554	−	0.843394i	0.373878	−	0.0734080i
$133$	−5.30180	+	10.4054i	−0.459724	+	0.902260i
$134$	6.09954	+	8.07847i	0.526920	+	0.697874i
$135$	−2.23077	+	0.153873i	−0.191994	+	0.0132433i
$136$	0.515358	+	0.136526i	0.0441916	+	0.0117070i
$137$	14.8459	−	2.35135i	1.26837	−	0.200890i	0.514257	−	0.857636i	$-0.328068\pi$
$137$	14.8459	−	2.35135i	1.26837	−	0.200890i	0.754111	+	0.656746i	$0.228068\pi$
$138$	−0.158806	+	1.13776i	−0.0135184	+	0.0968526i
$139$	−16.4145	+	11.9259i	−1.39226	+	1.01154i	−0.396651	+	0.917969i	$0.629828\pi$
$139$	−16.4145	+	11.9259i	−1.39226	+	1.01154i	−0.995613	+	0.0935694i	$0.970172\pi$
$140$	−0.649933	−	6.12800i	−0.0549293	−	0.517911i
$141$	4.77979	+	3.47272i	0.402531	+	0.292456i
$142$	10.0055	−	10.3806i	0.839645	−	0.871123i
$143$	4.66949	−	4.66949i	0.390482	−	0.390482i
$144$	−2.58271	−	3.05444i	−0.215226	−	0.254537i
$145$	21.9500	+	1.94127i	1.82284	+	0.161214i
$146$	0.553726	−	0.792396i	0.0458267	−	0.0655791i
$147$	−4.54526	+	2.31592i	−0.374886	+	0.191014i
$148$	−10.3396	−	9.60537i	−0.849910	−	0.789557i
$149$			20.4193i			1.67282i	0.548107	+	0.836408i	$0.315349\pi$
$149$			20.4193i			1.67282i	−0.548107	+	0.836408i	$0.684651\pi$
$150$	−6.30340	+	3.20424i	−0.514670	+	0.261625i
$151$			17.8614i			1.45354i	0.686880	+	0.726771i	$0.258980\pi$
$151$			17.8614i			1.45354i	−0.686880	+	0.726771i	$0.741020\pi$
$152$	12.0444	+	20.7256i	0.976926	+	1.68106i
$153$	0.167947	−	0.0855735i	0.0135777	−	0.00691821i
$154$	3.49623	+	2.44317i	0.281735	+	0.196876i
$155$	−8.43749	+	5.05891i	−0.677716	+	0.406342i
$156$	−5.80349	−	1.65226i	−0.464651	−	0.132287i
$157$	−1.27991	+	1.27991i	−0.102148	+	0.102148i	−0.756334	−	0.654186i	$-0.773011\pi$
$157$	−1.27991	+	1.27991i	−0.102148	+	0.102148i	0.654186	+	0.756334i	$0.273011\pi$
$158$	−12.3273	−	11.8819i	−0.980709	−	0.945271i
$159$	−6.26721	−	4.55340i	−0.497022	−	0.361108i
$160$	−11.2921	−	5.69994i	−0.892716	−	0.450620i
$161$	−0.905557	+	0.657926i	−0.0713679	+	0.0518518i
$162$	−1.40064	−	0.195497i	−0.110044	−	0.0153597i
$163$	9.66822	−	1.53130i	0.757273	−	0.119940i	0.234154	−	0.972200i	$-0.424768\pi$
$163$	9.66822	−	1.53130i	0.757273	−	0.119940i	0.523120	+	0.852259i	$0.324768\pi$
$164$	0.267583	+	7.26876i	0.0208947	+	0.567595i
$165$	1.18851	−	4.74775i	0.0925255	−	0.369612i
$166$	−8.69221	+	6.56293i	−0.674646	+	0.509382i
$167$	−6.71747	+	13.1838i	−0.519813	+	1.02019i	0.470638	+	0.882326i	$0.344024\pi$
$167$	−6.71747	+	13.1838i	−0.519813	+	1.02019i	−0.990451	+	0.137864i	$0.955976\pi$
$168$	0.396404	−	3.87721i	0.0305833	−	0.299134i
$169$	3.70663	−	1.20436i	0.285125	−	0.0926428i
$170$	0.383142	−	0.456611i	0.0293857	−	0.0350205i
$171$	8.06028	+	2.61894i	0.616385	+	0.200276i
$172$	−5.24415	−	0.633844i	−0.399862	−	0.0483302i
$173$	2.86441	+	0.453678i	0.217777	+	0.0344925i	0.264370	−	0.964421i	$-0.414836\pi$
$173$	2.86441	+	0.453678i	0.217777	+	0.0344925i	−0.0465922	+	0.998914i	$0.514836\pi$
$174$	13.3314	+	4.06206i	1.01065	+	0.307944i
$175$	−6.51013	−	2.25538i	−0.492119	−	0.170491i
$176$	8.10513	−	3.31037i	0.610948	−	0.249529i
$177$	−0.918124	+	5.79681i	−0.0690104	+	0.435715i
$178$	11.8299	−	2.09746i	0.886691	−	0.157212i
$179$	−0.399586	+	1.22980i	−0.0298664	+	0.0919194i	−0.964879	−	0.262696i	$-0.915388\pi$
$179$	−0.399586	+	1.22980i	−0.0298664	+	0.0919194i	0.935012	+	0.354616i	$0.115388\pi$
$180$	−4.31866	+	1.16155i	−0.321894	+	0.0865772i
$181$	−4.28796	−	13.1970i	−0.318722	−	0.980924i	−0.974195	−	0.225706i	$-0.927531\pi$
$181$	−4.28796	−	13.1970i	−0.318722	−	0.980924i	0.655474	−	0.755218i	$-0.272469\pi$
$182$	−2.76510	−	5.18857i	−0.204963	−	0.384602i
$183$	3.07251	+	1.56552i	0.227126	+	0.115727i
$184$	0.126748	+	2.29408i	0.00934402	+	0.169122i
$185$	−14.6352	+	5.89693i	−1.07600	+	0.433551i
$186$	−5.88112	+	2.03125i	−0.431225	+	0.148938i
$187$	0.0645396	+	0.407487i	0.00471960	+	0.0297984i
$188$	10.7186	+	4.97354i	0.781736	+	0.362733i
$189$	−0.809937	−	1.11478i	−0.0589143	−	0.0810885i
$190$	26.6986	−	2.33582i	1.93692	−	0.169458i
$191$	1.31871	−	1.81505i	0.0954185	−	0.131332i	−0.758638	−	0.651512i	$-0.774135\pi$
$191$	1.31871	−	1.81505i	0.0954185	−	0.131332i	0.854057	+	0.520180i	$0.174135\pi$
$192$	−6.24561	−	4.99924i	−0.450738	−	0.360789i
$193$	−15.1457	−	15.1457i	−1.09021	−	1.09021i	−0.995505	−	0.0947077i	$-0.969808\pi$
$193$	−15.1457	−	15.1457i	−1.09021	−	1.09021i	−0.0947077	−	0.995505i	$-0.530192\pi$
$194$	15.8899	−	0.292375i	1.14083	−	0.0209913i
$195$	−4.43081	+	5.08734i	−0.317297	+	0.364312i
$196$	−8.02781	+	6.29648i	−0.573415	+	0.449748i
$197$	−6.47675	−	12.7113i	−0.461449	−	0.905645i	−0.998087	−	0.0618319i	$-0.980306\pi$
$197$	−6.47675	−	12.7113i	−0.461449	−	0.905645i	0.536638	−	0.843813i	$-0.319694\pi$
$198$	1.35430	−	2.78340i	0.0962461	−	0.197808i
$199$	−5.50425			−0.390186			−0.195093	−	0.980785i	$-0.562501\pi$
$199$	−5.50425			−0.390186			−0.195093	+	0.980785i	$0.562501\pi$
$200$	−11.1359	+	8.71729i	−0.787429	+	0.616406i
$201$	7.15773			0.504867
$202$	1.03381	−	2.12471i	0.0727384	−	0.149494i
$203$	6.16482	+	12.0991i	0.432685	+	0.849193i
$204$	0.296628	−	0.232655i	0.0207681	−	0.0162891i
$205$	7.48275	+	3.18459i	0.522618	+	0.222421i
$206$	26.2706	−	0.483383i	1.83036	−	0.0336789i
$207$	0.574395	+	0.574395i	0.0399232	+	0.0399232i
$208$	−12.0262	−	1.00638i	−0.833866	−	0.0697796i
$209$	−10.9034	+	15.0073i	−0.754207	+	1.03808i
$210$	−3.73507	−	2.24425i	−0.257744	−	0.154868i
$211$	−15.8905	−	21.8715i	−1.09395	−	1.50569i	−0.843169	−	0.537649i	$-0.819312\pi$
$211$	−15.8905	−	21.8715i	−1.09395	−	1.50569i	−0.250781	−	0.968044i	$-0.580688\pi$
$212$	−14.0541	−	6.52125i	−0.965242	−	0.447881i
$213$	−1.59482	−	10.0693i	−0.109275	−	0.689936i
$214$	−18.0542	+	6.23566i	−1.23416	+	0.426261i
$215$	−3.13433	+	5.00545i	−0.213760	+	0.341369i
$216$	−2.82412	+	0.156033i	−0.192157	+	0.0106167i
$217$	−5.40170	−	2.75230i	−0.366691	−	0.186838i
$218$	−5.47145	−	10.2669i	−0.370573	−	0.695361i
$219$	−0.211231	−	0.650103i	−0.0142737	−	0.0439299i
$220$	0.503055	−	9.77556i	0.0339160	−	0.659068i
$221$	0.175735	−	0.540857i	0.0118212	−	0.0363820i
$222$	−9.82599	+	1.74216i	−0.659477	+	0.116926i
$223$	2.29154	−	14.4682i	0.153453	−	0.968862i	−0.784003	−	0.620757i	$-0.786825\pi$
$223$	2.29154	−	14.4682i	0.153453	−	0.968862i	0.937456	−	0.348105i	$-0.113175\pi$
$224$	−0.716039	−	7.76189i	−0.0478424	−	0.518613i
$225$	−0.877543	+	4.92239i	−0.0585029	+	0.328159i
$226$	−6.11827	−	1.86423i	−0.406982	−	0.124006i
$227$	−1.09529	−	0.173477i	−0.0726971	−	0.0115141i	0.119980	−	0.992776i	$-0.461717\pi$
$227$	−1.09529	−	0.173477i	−0.0726971	−	0.0115141i	−0.192677	+	0.981262i	$0.561717\pi$
$228$	16.8277	+	2.03391i	1.11444	+	0.134699i
$229$	−8.19638	−	2.66316i	−0.541632	−	0.175987i	0.0254081	−	0.999677i	$-0.491911\pi$
$229$	−8.19638	−	2.66316i	−0.541632	−	0.175987i	−0.567040	+	0.823690i	$0.691911\pi$
$230$	2.38172	+	0.962279i	0.157046	+	0.0634508i
$231$	2.86840	−	0.932001i	0.188727	−	0.0613211i
$232$	27.7286	+	2.83496i	1.82047	+	0.186124i
$233$	4.55764	−	8.94488i	0.298581	−	0.585999i	−0.692163	−	0.721741i	$-0.743342\pi$
$233$	4.55764	−	8.94488i	0.298581	−	0.585999i	0.990744	+	0.135743i	$0.0433420\pi$
$234$	−3.40516	+	2.57102i	−0.222602	+	0.168073i
$235$	10.1282	−	8.48232i	0.660694	−	0.553325i
$236$	0.431820	+	11.7302i	0.0281091	+	0.763570i
$237$	−11.9576	+	1.89390i	−0.776729	+	0.123022i
$238$	0.363790	+	0.0507769i	0.0235810	+	0.00329138i
$239$	15.6437	−	11.3658i	1.01191	−	0.735196i	0.0473011	−	0.998881i	$-0.484938\pi$
$239$	15.6437	−	11.3658i	1.01191	−	0.735196i	0.964609	+	0.263685i	$0.0849380\pi$
$240$	−8.02791	+	3.94368i	−0.518200	+	0.254563i
$241$	7.26740	+	5.28007i	0.468134	+	0.340119i	0.796714	−	0.604357i	$-0.206570\pi$
$241$	7.26740	+	5.28007i	0.468134	+	0.340119i	−0.328579	+	0.944476i	$0.606570\pi$
$242$	−6.32245	−	6.09398i	−0.406422	−	0.391736i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	6.63313	+	1.88846i	0.424643	+	0.120896i
$245$	2.55546	+	11.1168i	0.163262	+	0.710228i
$246$	4.21591	+	2.94608i	0.268797	+	0.187835i
$247$	22.7828	−	11.6084i	1.44964	−	0.738627i
$248$	−10.7592	+	6.25254i	−0.683209	+	0.397037i
$249$			7.70151i			0.488063i
$250$	3.52767	+	15.4128i	0.223110	+	0.974793i
$251$		−	17.7746i		−	1.12192i	−0.827842	−	0.560962i	$-0.810431\pi$
$251$		−	17.7746i		−	1.12192i	0.827842	−	0.560962i	$-0.189569\pi$
$252$	−2.01908	−	1.87570i	−0.127190	−	0.118158i
$253$	−1.58419	+	0.807185i	−0.0995972	+	0.0507473i
$254$	−15.5944	+	22.3160i	−0.978481	+	1.40023i
$255$	−0.0944245	−	0.410767i	−0.00591309	−	0.0257233i
$256$	−14.1835	−	7.40456i	−0.886471	−	0.462785i
$257$	0.448221	−	0.448221i	0.0279592	−	0.0279592i	−0.692989	−	0.720948i	$-0.743707\pi$
$257$	0.448221	−	0.448221i	0.0279592	−	0.0279592i	0.720948	+	0.692989i	$0.243707\pi$
$258$	−2.59212	+	2.68930i	−0.161378	+	0.167428i
$259$	−7.86634	−	5.71523i	−0.488791	−	0.355127i
$260$	−6.73530	+	11.6914i	−0.417705	+	0.725068i
$261$	7.97257	−	5.79241i	0.493490	−	0.358541i
$262$	1.51358	−	10.8440i	0.0935094	−	0.669946i
$263$	21.5564	−	3.41419i	1.32922	−	0.210528i	0.548891	−	0.835894i	$-0.315050\pi$
$263$	21.5564	−	3.41419i	1.32922	−	0.210528i	0.780332	+	0.625366i	$0.215050\pi$
$264$	1.58534	−	5.98436i	0.0975709	−	0.368312i
$265$	−13.2801	+	11.1219i	−0.815787	+	0.683214i
$266$	9.95173	+	13.1805i	0.610179	+	0.808146i
$267$	3.85687	−	7.56954i	0.236037	−	0.463248i
$268$	14.0473	−	2.75806i	0.858072	−	0.168476i
$269$	14.0180	−	4.55472i	0.854692	−	0.277706i	0.151282	−	0.988491i	$-0.451660\pi$
$269$	14.0180	−	4.55472i	0.854692	−	0.277706i	0.703410	+	0.710784i	$0.251660\pi$
$270$	−1.18461	+	2.93201i	−0.0720931	+	0.178437i
$271$	9.30765	+	3.02424i	0.565399	+	0.183709i	0.577749	−	0.816214i	$-0.303931\pi$
$271$	9.30765	+	3.02424i	0.565399	+	0.183709i	−0.0123498	+	0.999924i	$0.503931\pi$
$272$	0.492493	−	0.570892i	0.0298618	−	0.0346154i
$273$	−4.10616	−	0.650352i	−0.248516	−	0.0393611i
$274$	6.19572	−	20.3340i	0.374297	−	1.22842i
$275$	−9.65314	−	5.15609i	−0.582106	−	0.310924i
$276$	1.34860	+	0.905937i	0.0811760	+	0.0545310i
$277$	0.314621	−	1.98644i	0.0189038	−	0.119354i	−0.976432	−	0.215826i	$-0.930756\pi$
$277$	0.314621	−	1.98644i	0.0189038	−	0.119354i	0.995336	+	0.0964718i	$0.0307558\pi$
$278$	5.00930	+	28.2530i	0.300438	+	1.69450i
$279$	−1.35956	+	4.18430i	−0.0813948	+	0.250508i
$280$	−8.19495	−	2.96519i	−0.489742	−	0.177204i
$281$	−6.76190	−	20.8110i	−0.403381	−	1.24148i	−0.922240	−	0.386619i	$-0.873643\pi$
$281$	−6.76190	−	20.8110i	−0.403381	−	1.24148i	0.518859	−	0.854860i	$-0.326357\pi$
$282$	7.37366	−	3.92958i	0.439095	−	0.234003i
$283$	9.36168	+	4.77002i	0.556494	+	0.283548i	0.709533	−	0.704672i	$-0.248906\pi$
$283$	9.36168	+	4.77002i	0.556494	+	0.283548i	−0.153039	+	0.988220i	$0.548906\pi$
$284$	−7.00985	−	19.1467i	−0.415958	−	1.13615i
$285$	10.0576	−	16.0617i	0.595761	−	0.951415i
$286$	−3.04881	−	8.82730i	−0.180280	−	0.521969i
$287$	0.783953	+	4.94968i	0.0462753	+	0.292171i
$288$	−5.48230	+	1.39443i	−0.323047	+	0.0821675i
$289$	−9.97147	−	13.7245i	−0.586557	−	0.807326i
$290$	16.0502	−	26.7120i	0.942499	−	1.56858i
$291$	6.60537	−	9.09151i	0.387214	−	0.532954i
$292$	−0.665049	−	1.19445i	−0.0389191	−	0.0699001i
$293$	22.7257	+	22.7257i	1.32765	+	1.32765i	0.907418	+	0.420229i	$0.138050\pi$
$293$	22.7257	+	22.7257i	1.32765	+	1.32765i	0.420229	+	0.907418i	$0.361950\pi$
$294$	0.132721	+	7.21305i	0.00774044	+	0.420674i
$295$	12.0755	+	5.13922i	0.703064	+	0.299217i
$296$	−18.6125	+	7.20526i	−1.08183	+	0.418797i
$297$	−0.993683	−	1.95021i	−0.0576593	−	0.113163i
$298$	25.9667	+	12.6344i	1.50421	+	0.731894i
$299$	2.45080			0.141734
$300$	0.174524	+	9.99848i	0.0100761	+	0.577262i
$301$	−3.63938			−0.209770
$302$	22.7139	+	11.0517i	1.30704	+	0.635956i
$303$	−0.758528	−	1.48869i	−0.0435763	−	0.0855232i
$304$	33.8086	−	2.49255i	1.93905	−	0.142957i
$305$	5.06421	−	5.81461i	0.289976	−	0.332943i
$306$	−0.00490405	−	0.266523i	−0.000280346	−	0.0152361i
$307$	−3.82428	−	3.82428i	−0.218263	−	0.218263i	0.589503	−	0.807766i	$-0.299324\pi$
$307$	−3.82428	−	3.82428i	−0.218263	−	0.218263i	−0.807766	+	0.589503i	$0.799324\pi$
$308$	5.27020	−	2.93435i	0.300298	−	0.167200i
$309$	10.9206	−	15.0310i	0.621253	−	0.855081i
$310$	1.21259	+	13.8599i	0.0688703	+	0.787191i
$311$	−11.8348	−	16.2892i	−0.671089	−	0.923675i	0.328695	−	0.944436i	$-0.393391\pi$
$311$	−11.8348	−	16.2892i	−0.671089	−	0.923675i	−0.999784	+	0.0207612i	$0.993391\pi$
$312$	−5.69204	+	6.35780i	−0.322249	+	0.359940i
$313$	0.968574	+	6.11533i	0.0547470	+	0.345659i	0.999823	+	0.0188087i	$0.00598733\pi$
$313$	0.968574	+	6.11533i	0.0547470	+	0.345659i	−0.945076	+	0.326850i	$0.894013\pi$
$314$	0.835684	+	2.41958i	0.0471604	+	0.136545i
$315$	−2.85791	+	1.15153i	−0.161025	+	0.0648815i
$316$	−22.7374	+	8.32441i	−1.27908	+	0.468285i
$317$	−5.38815	−	2.74540i	−0.302629	−	0.154197i	0.296082	−	0.955163i	$-0.404320\pi$
$317$	−5.38815	−	2.74540i	−0.302629	−	0.154197i	−0.598710	+	0.800966i	$0.704320\pi$
$318$	−9.66826	+	5.15243i	−0.542169	+	0.288934i
$319$	6.66537	+	20.5139i	0.373189	+	1.14856i
$320$	−14.2354	+	10.8330i	−0.795784	+	0.605581i
$321$	−4.17367	+	12.8452i	−0.232951	+	0.716951i
$322$	0.276353	+	1.55866i	0.0154005	+	0.0868609i
$323$	−0.249901	+	1.57782i	−0.0139049	+	0.0877920i
$324$	−1.11525	+	1.66019i	−0.0619584	+	0.0922325i
$325$	8.62919	+	12.3735i	0.478662	+	0.686356i
$326$	4.03490	−	13.2423i	0.223472	−	0.733423i
$327$	−8.12507	−	1.28688i	−0.449317	−	0.0711649i
$328$	9.40905	+	4.15726i	0.519528	+	0.229547i
$329$	7.74267	+	2.51574i	0.426867	+	0.138697i
$330$	−5.30219	−	4.44906i	−0.291876	−	0.244913i
$331$	−0.774938	+	0.251793i	−0.0425945	+	0.0138398i	−0.330237	−	0.943898i	$-0.607129\pi$
$331$	−0.774938	+	0.251793i	−0.0425945	+	0.0138398i	0.287642	+	0.957738i	$0.407129\pi$
$332$	2.96760	+	15.1144i	0.162868	+	0.829513i
$333$	−3.20353	+	6.28729i	−0.175553	+	0.344541i
$334$	12.6090	+	16.6999i	0.689934	+	0.913776i
$335$	3.88667	−	15.5261i	0.212351	−	0.848280i
$336$	−4.68527	−	2.90312i	−0.255602	−	0.158378i
$337$	−1.01821	+	0.161269i	−0.0554654	+	0.00878486i	−0.184105	−	0.982906i	$-0.558939\pi$
$337$	−1.01821	+	0.161269i	−0.0554654	+	0.00878486i	0.128640	+	0.991691i	$0.458939\pi$
$338$	0.761927	−	5.45881i	0.0414434	−	0.296920i
$339$	−3.65890	+	2.65834i	−0.198724	+	0.144381i
$340$	−0.343591	−	0.769759i	−0.0186338	−	0.0417461i
$341$	−7.79068	−	5.66026i	−0.421889	−	0.306520i
$342$	8.31773	−	8.62956i	0.449771	−	0.466633i
$343$	−11.7909	+	11.7909i	−0.636651	+	0.636651i
$344$	−4.05085	+	6.27664i	−0.218407	+	0.338414i
$345$	1.55784	−	0.934041i	0.0838712	−	0.0502871i
$346$	2.34928	−	3.36188i	0.126298	−	0.180736i
$347$	31.3056	−	15.9510i	1.68057	−	0.856294i	0.689297	−	0.724479i	$-0.257919\pi$
$347$	31.3056	−	15.9510i	1.68057	−	0.856294i	0.991274	−	0.131815i	$-0.0420806\pi$
$348$	13.4144	−	14.4398i	0.719089	−	0.774056i
$349$		−	18.9424i		−	1.01396i	−0.861957	−	0.506981i	$-0.830761\pi$
$349$		−	18.9424i		−	1.01396i	0.861957	−	0.506981i	$-0.169239\pi$
$350$	−6.89625	+	6.88323i	−0.368620	+	0.367924i
$351$			3.01706i			0.161038i
$352$	0.805341	−	12.3554i	0.0429248	−	0.658543i
$353$	26.9775	−	13.7457i	1.43587	−	0.731611i	0.449059	−	0.893502i	$-0.351759\pi$
$353$	26.9775	−	13.7457i	1.43587	−	0.731611i	0.986809	+	0.161891i	$0.0517594\pi$
$354$	6.80355	+	4.75432i	0.361604	+	0.252689i
$355$	−22.7076	−	2.00828i	−1.20520	−	0.106588i
$356$	4.65248	−	16.3416i	0.246581	−	0.866103i
$357$	0.183658	−	0.183658i	0.00972022	−	0.00972022i
$358$	1.31666	+	1.26908i	0.0695875	+	0.0670729i
$359$	8.61378	+	6.25828i	0.454618	+	0.330299i	0.791416	−	0.611278i	$-0.209344\pi$
$359$	8.61378	+	6.25828i	0.454618	+	0.330299i	−0.336798	+	0.941577i	$0.609344\pi$
$360$	−1.19505	+	6.21062i	−0.0629846	+	0.327329i
$361$	−42.7379	+	31.0509i	−2.24936	+	1.63426i
$362$	−19.4354	−	2.71275i	−1.02150	−	0.142579i
$363$	−6.13282	+	0.971343i	−0.321889	+	0.0509823i
$364$	−8.30906	+	0.305879i	−0.435513	+	0.0160324i
$365$	−1.52486	+	0.105181i	−0.0798148	+	0.00550542i
$366$	3.89194	−	2.93856i	0.203435	−	0.153601i
$367$	3.96574	−	7.78320i	0.207010	−	0.406280i	−0.764036	−	0.645174i	$-0.776785\pi$
$367$	3.96574	−	7.78320i	0.207010	−	0.406280i	0.971046	+	0.238894i	$0.0767849\pi$
$368$	2.99574	+	1.25828i	0.156164	+	0.0655923i
$369$	3.45884	−	1.12385i	0.180060	−	0.0585051i
$370$	−1.55656	+	22.2599i	−0.0809219	+	1.15724i
$371$	−10.1521	−	3.29862i	−0.527071	−	0.171256i
$372$	−1.05586	+	8.73569i	−0.0547436	+	0.452925i
$373$	−17.7640	−	2.81354i	−0.919785	−	0.145680i	−0.321451	−	0.946926i	$-0.604170\pi$
$373$	−17.7640	−	2.81354i	−0.919785	−	0.145680i	−0.598334	+	0.801247i	$0.704170\pi$
$374$	0.558123	+	0.170059i	0.0288599	+	0.00879354i
$375$	10.2008	+	4.57638i	0.526768	+	0.236323i
$376$	12.9568	−	10.5532i	0.668198	−	0.544239i
$377$	4.65111	−	29.3659i	0.239544	−	1.51242i
$378$	−1.91879	+	0.340203i	−0.0986917	+	0.0174982i
$379$	−0.0886478	+	0.272830i	−0.00455353	+	0.0140143i	−0.953307	−	0.302001i	$-0.902345\pi$
$379$	−0.0886478	+	0.272830i	−0.00455353	+	0.0140143i	0.948754	+	0.316016i	$0.102345\pi$
$380$	13.5493	−	35.3971i	0.695065	−	1.81583i
$381$	5.94883	+	18.3086i	0.304768	+	0.937980i
$382$	−1.49219	−	2.80003i	−0.0763473	−	0.143262i
$383$	−24.1410	−	12.3004i	−1.23355	−	0.628524i	−0.289135	−	0.957288i	$-0.593368\pi$
$383$	−24.1410	−	12.3004i	−1.23355	−	0.628524i	−0.944412	+	0.328765i	$0.893368\pi$
$384$	−10.2219	+	4.84909i	−0.521632	+	0.247454i
$385$	−0.464083	−	6.72803i	−0.0236519	−	0.342892i
$386$	−28.6318	+	9.88898i	−1.45732	+	0.503336i
$387$	0.413168	+	2.60864i	0.0210025	+	0.132605i
$388$	9.46003	−	20.3876i	0.480260	−	1.03502i
$389$	14.2557	+	19.6212i	0.722790	+	0.994835i	0.999427	+	0.0338608i	$0.0107803\pi$
$389$	14.2557	+	19.6212i	0.722790	+	0.994835i	−0.276636	+	0.960975i	$0.589220\pi$
$390$	3.72787	+	8.78232i	0.188768	+	0.444710i
$391$	−0.0899988	+	0.123873i	−0.00455143	+	0.00626451i
$392$	3.03985	+	14.1047i	0.153536	+	0.712394i
$393$	−5.47457	−	5.47457i	−0.276156	−	0.276156i
$394$	−20.1721	+	0.371169i	−1.01626	+	0.0186992i
$395$	−2.38490	+	26.9660i	−0.119997	+	1.35681i
$396$	−2.70160	−	3.44446i	−0.135761	−	0.173091i
$397$	−3.70159	−	7.26479i	−0.185778	−	0.364609i	0.779268	−	0.626691i	$-0.215591\pi$
$397$	−3.70159	−	7.26479i	−0.185778	−	0.364609i	−0.965046	+	0.262081i	$0.915591\pi$
$398$	−3.40575	+	6.99960i	−0.170715	+	0.350858i
$399$	11.6782			0.584642
$400$	4.19519	+	19.5551i	0.209760	+	0.977753i
$401$	−10.7338			−0.536021			−0.268010	−	0.963416i	$-0.586366\pi$
$401$	−10.7338			−0.536021			−0.268010	+	0.963416i	$0.586366\pi$
$402$	4.42884	−	9.10228i	0.220890	−	0.453980i
$403$	6.02624	+	11.8272i	0.300189	+	0.589153i
$404$	−2.06227	−	2.62933i	−0.102602	−	0.130814i
$405$	1.14985	+	1.91777i	0.0571364	+	0.0952948i
$406$	19.2006	−	0.353293i	0.952910	−	0.0175337i
$407$	−10.9212	−	10.9212i	−0.541342	−	0.541342i
$408$	−0.112323	−	0.521169i	−0.00556080	−	0.0258017i
$409$	−13.5189	+	18.6072i	−0.668468	+	0.920068i	−0.999724	−	0.0234733i	$-0.992528\pi$
$409$	−13.5189	+	18.6072i	−0.668468	+	0.920068i	0.331256	+	0.943541i	$0.392528\pi$
$410$	8.67970	−	7.54514i	0.428660	−	0.372628i
$411$	−8.83496	−	12.1603i	−0.435796	−	0.599822i
$412$	15.6402	−	33.7067i	0.770539	−	1.66061i
$413$	1.26513	+	7.98770i	0.0622528	+	0.393049i
$414$	1.08585	−	0.375035i	0.0533665	−	0.0184320i
$415$	16.7056	+	4.18195i	0.820047	+	0.205284i
$416$	−8.72097	+	14.6707i	−0.427581	+	0.719289i
$417$	18.0781	+	9.21124i	0.885287	+	0.451076i
$418$	12.3379	+	23.1513i	0.603464	+	1.13237i
$419$	−3.26817	−	10.0584i	−0.159661	−	0.491385i	0.838943	−	0.544220i	$-0.183174\pi$
$419$	−3.26817	−	10.0584i	−0.159661	−	0.491385i	−0.998603	+	0.0528349i	$0.983174\pi$
$420$	−5.16503	+	3.36115i	−0.252027	+	0.164007i
$421$	2.11626	−	6.51318i	0.103140	−	0.317433i	−0.886149	−	0.463400i	$-0.846629\pi$
$421$	2.11626	−	6.51318i	0.103140	−	0.317433i	0.989289	+	0.145967i	$0.0466293\pi$
$422$	−37.6456	+	6.67461i	−1.83256	+	0.324915i
$423$	0.924238	−	5.83541i	0.0449380	−	0.283727i
$424$	−16.9889	+	13.8372i	−0.825053	+	0.671996i
$425$	−0.942283	−	0.0182287i	−0.0457074	−	0.000884221i
$426$	−13.7916	−	4.20228i	−0.668206	−	0.203601i
$427$	4.69316	+	0.743323i	0.227118	+	0.0359719i
$428$	−3.24134	+	26.8174i	−0.156676	+	1.29627i
$429$	−6.28045	−	2.04064i	−0.303223	−	0.0985231i
$430$	4.42592	+	7.08296i	0.213437	+	0.341570i
$431$	−17.5744	+	5.71028i	−0.846531	+	0.275054i	−0.699992	−	0.714150i	$-0.746813\pi$
$431$	−17.5744	+	5.71028i	−0.846531	+	0.275054i	−0.146538	+	0.989205i	$0.546813\pi$
$432$	−1.54900	+	3.68790i	−0.0745263	+	0.177434i
$433$	−4.07982	+	8.00709i	−0.196063	+	0.384796i	−0.968018	−	0.250882i	$-0.919279\pi$
$433$	−4.07982	+	8.00709i	−0.196063	+	0.384796i	0.771954	+	0.635678i	$0.219279\pi$
$434$	−6.84232	+	5.16620i	−0.328442	+	0.247986i
$435$	−8.23539	−	20.4389i	−0.394857	−	0.979969i
$436$	−16.4416	+	0.605258i	−0.787408	+	0.0289866i
$437$	−6.79969	+	1.07696i	−0.325273	+	0.0515182i
$438$	−0.957416	−	0.133634i	−0.0457471	−	0.00638527i
$439$	2.64229	−	1.91974i	0.126110	−	0.0916241i	−0.522942	−	0.852368i	$-0.675166\pi$
$439$	2.64229	−	1.91974i	0.126110	−	0.0916241i	0.649052	+	0.760744i	$0.275166\pi$
$440$	−12.1200	−	6.68834i	−0.577800	−	0.318854i
$441$	4.12701	+	2.99845i	0.196524	+	0.142783i
$442$	−0.579056	−	0.558132i	−0.0275429	−	0.0265476i
$443$	1.24003	−	1.24003i	0.0589157	−	0.0589157i	−0.677035	−	0.735951i	$-0.736735\pi$
$443$	1.24003	−	1.24003i	0.0589157	−	0.0589157i	0.735951	+	0.677035i	$0.236735\pi$
$444$	−3.86437	+	13.5734i	−0.183395	+	0.644165i
$445$	−14.3251	−	12.4764i	−0.679073	−	0.591436i
$446$	−16.9809	−	11.8663i	−0.804069	−	0.561884i
$447$	18.1938	−	9.27018i	0.860535	−	0.438465i
$448$	−10.3136	−	3.89210i	−0.487273	−	0.183884i
$449$		−	10.2541i		−	0.483920i	−0.970286	−	0.241960i	$-0.922210\pi$
$449$		−	10.2541i		−	0.483920i	0.970286	−	0.241960i	$-0.0777903\pi$
$450$	5.71668	+	4.16167i	0.269487	+	0.196183i
$451$			7.96023i			0.374833i
$452$	−6.15636	+	6.62695i	−0.289571	+	0.311705i
$453$	15.9146	−	8.10891i	0.747735	−	0.380990i
$454$	−0.898318	+	1.28551i	−0.0421601	+	0.0603322i
$455$	−3.64036	+	8.55368i	−0.170663	+	0.401002i
$456$	12.9986	−	20.1408i	0.608715	−	0.943180i
$457$	−19.7687	+	19.7687i	−0.924739	+	0.924739i	−0.997360	−	0.0726209i	$-0.976864\pi$
$457$	−19.7687	+	19.7687i	−0.924739	+	0.924739i	0.0726209	+	0.997360i	$0.476864\pi$
$458$	−8.45817	+	8.77527i	−0.395225	+	0.410041i
$459$	−0.152493	−	0.110793i	−0.00711777	−	0.00517136i
$460$	2.69739	−	2.43336i	0.125767	−	0.113456i
$461$	−17.0739	+	12.4049i	−0.795213	+	0.577756i	−0.909506	−	0.415691i	$-0.863540\pi$
$461$	−17.0739	+	12.4049i	−0.795213	+	0.577756i	0.114293	+	0.993447i	$0.463540\pi$
$462$	0.589623	−	4.22434i	0.0274318	−	0.196534i
$463$	−13.2456	+	2.09790i	−0.615577	+	0.0974978i	−0.456433	−	0.889758i	$-0.650873\pi$
$463$	−13.2456	+	2.09790i	−0.615577	+	0.0974978i	−0.159143	+	0.987255i	$0.550873\pi$
$464$	20.7622	−	33.5075i	0.963860	−	1.55555i
$465$	8.33807	+	5.22116i	0.386669	+	0.242126i
$466$	−8.55491	−	11.3305i	−0.396299	−	0.524874i
$467$	0.0268684	−	0.0527322i	0.00124332	−	0.00244016i	−0.890384	−	0.455210i	$-0.849564\pi$
$467$	0.0268684	−	0.0527322i	0.00124332	−	0.00244016i	0.891627	+	0.452770i	$0.149564\pi$
$468$	1.16255	+	5.92106i	0.0537390	+	0.273701i
$469$	9.38024	−	3.04783i	0.433139	−	0.140736i
$470$	−4.51988	−	18.1282i	−0.208486	−	0.836193i
$471$	1.72148	+	0.559343i	0.0793216	+	0.0257732i
$472$	15.1841	+	6.70891i	0.698906	+	0.308803i
$473$	−5.70972	−	0.904331i	−0.262533	−	0.0415812i
$474$	−4.99034	+	16.3780i	−0.229214	+	0.752266i
$475$	−29.3788	−	30.5379i	−1.34799	−	1.40117i
$476$	0.289666	−	0.431203i	0.0132768	−	0.0197642i
$477$	−1.21185	+	7.65133i	−0.0554869	+	0.350330i
$478$	−4.77407	−	26.9263i	−0.218361	−	1.23158i
$479$	−5.52868	+	17.0155i	−0.252612	+	0.777459i	0.741679	+	0.670755i	$0.234030\pi$
$479$	−5.52868	+	17.0155i	−0.252612	+	0.777459i	−0.994291	+	0.106704i	$0.965970\pi$
$480$	0.0478008	+	12.6490i	0.00218180	+	0.577346i
$481$	6.57882	+	20.2475i	0.299968	+	0.923208i
$482$	11.2112	−	5.97470i	0.510657	−	0.272140i
$483$	0.997330	+	0.508165i	0.0453801	+	0.0231223i
$484$	−11.6616	+	4.26943i	−0.530071	+	0.194065i
$485$	−16.1340	−	19.2647i	−0.732606	−	0.874763i
$486$	0.461686	+	1.33673i	0.0209425	+	0.0606353i
$487$	5.54853	+	35.0320i	0.251428	+	1.58745i	0.713529	+	0.700626i	$0.247096\pi$
$487$	5.54853	+	35.0320i	0.251428	+	1.58745i	−0.462101	+	0.886827i	$0.652904\pi$
$488$	6.50575	−	7.26668i	0.294501	−	0.328947i
$489$	−5.75367	−	7.91925i	−0.260190	−	0.358121i
$490$	15.7181	+	3.62882i	0.710074	+	0.163933i
$491$	−15.7038	+	21.6144i	−0.708703	+	0.975446i	0.291121	+	0.956686i	$0.405972\pi$
$491$	−15.7038	+	21.6144i	−0.708703	+	0.975446i	−0.999824	+	0.0187597i	$0.994028\pi$
$492$	6.35504	−	3.53837i	0.286507	−	0.159522i
$493$	1.31346	+	1.31346i	0.0591554	+	0.0591554i
$494$	−0.665256	−	36.1550i	−0.0299313	−	1.62669i
$495$	−4.76985	+	1.09646i	−0.214389	+	0.0492822i
$496$	1.29395	+	17.5509i	0.0580999	+	0.788059i
$497$	−6.37762	−	12.5168i	−0.286075	−	0.561454i
$498$	9.79380	+	4.76530i	0.438870	+	0.213538i
$499$	−10.0895			−0.451667			−0.225834	−	0.974166i	$-0.572511\pi$
$499$	−10.0895			−0.451667			−0.225834	+	0.974166i	$0.572511\pi$
$500$	21.7828	+	5.05064i	0.974157	+	0.225872i
$501$	14.7965			0.661059
$502$	−22.6035	−	10.9980i	−1.00884	−	0.490866i
$503$	−6.20724	−	12.1824i	−0.276767	−	0.543186i	0.710221	−	0.703979i	$-0.248595\pi$
$503$	−6.20724	−	12.1824i	−0.276767	−	0.543186i	−0.986988	+	0.160793i	$0.948595\pi$
$504$	−3.63459	+	1.40702i	−0.161897	+	0.0626736i
$505$	−3.64106	+	0.836983i	−0.162025	+	0.0372452i
$506$	0.0462582	+	2.51402i	0.00205643	+	0.111762i
$507$	−2.75586	−	2.75586i	−0.122392	−	0.122392i
$508$	18.7296	+	33.6390i	0.830990	+	1.49249i
$509$	−6.99440	+	9.62697i	−0.310021	+	0.426708i	−0.935388	−	0.353623i	$-0.884949\pi$
$509$	−6.99440	+	9.62697i	−0.310021	+	0.426708i	0.625366	+	0.780331i	$0.284949\pi$
$510$	−0.580787	−	0.134085i	−0.0257177	−	0.00593739i
$511$	−0.553639	−	0.762019i	−0.0244916	−	0.0337098i
$512$	−18.1922	+	13.4552i	−0.803990	+	0.594643i
$513$	−1.32579	−	8.37073i	−0.0585352	−	0.369577i
$514$	−0.292653	−	0.847326i	−0.0129084	−	0.0373739i
$515$	−26.6742	−	31.8502i	−1.17541	−	1.40349i
$516$	1.81603	+	4.96033i	0.0799464	+	0.218366i
$517$	11.5221	+	5.87083i	0.506743	+	0.258199i
$518$	−12.1352	+	6.46711i	−0.533190	+	0.284149i
$519$	−0.896186	−	2.75818i	−0.0393382	−	0.121071i
$520$	10.7001	+	15.7991i	0.469232	+	0.692837i
$521$	12.1297	−	37.3314i	0.531412	−	1.63552i	−0.219865	−	0.975530i	$-0.570562\pi$
$521$	12.1297	−	37.3314i	0.531412	−	1.63552i	0.751277	−	0.659987i	$-0.229438\pi$
$522$	−2.43302	−	13.7225i	−0.106491	−	0.600619i
$523$	−1.21229	+	7.65409i	−0.0530097	+	0.334690i	0.946904	+	0.321518i	$0.104193\pi$
$523$	−1.21229	+	7.65409i	−0.0530097	+	0.334690i	−0.999913	+	0.0131723i	$0.995807\pi$
$524$	−12.8535	−	8.63451i	−0.561508	−	0.377200i
$525$	0.945973	+	6.82449i	0.0412856	+	0.297845i
$526$	8.99625	−	29.5252i	0.392255	−	1.28736i
$527$	−0.819085	−	0.129730i	−0.0356799	−	0.00565114i
$528$	−6.62922	−	5.71885i	−0.288500	−	0.248881i
$529$	21.2467	+	6.90348i	0.923771	+	0.300151i
$530$	5.92642	+	23.7696i	0.257427	+	1.03248i
$531$	5.58181	−	1.81364i	0.242230	−	0.0787053i
$532$	22.9188	−	4.49993i	0.993658	−	0.195097i
$533$	4.98144	−	9.77662i	0.215770	−	0.423472i
$534$	−7.23953	−	9.58832i	−0.313285	−	0.414927i
$535$	25.5967	+	16.0283i	1.10664	+	0.692962i
$536$	5.18437	−	19.5700i	0.223931	−	0.845297i
$537$	1.27717	−	0.202283i	0.0551138	−	0.00872917i
$538$	2.88151	−	20.6445i	0.124231	−	0.890048i
$539$	−9.03309	+	6.56292i	−0.389083	+	0.282685i
$540$	2.99558	+	3.32062i	0.128909	+	0.142897i
$541$	28.2177	+	20.5014i	1.21317	+	0.881423i	0.995515	−	0.0946024i	$-0.0301580\pi$
$541$	28.2177	+	20.5014i	1.21317	+	0.881423i	0.217659	+	0.976025i	$0.430158\pi$
$542$	9.60494	−	9.96503i	0.412567	−	0.428035i
$543$	−9.81190	+	9.81190i	−0.421069	+	0.421069i
$544$	−0.421257	−	0.979529i	−0.0180612	−	0.0419969i
$545$	−7.20337	+	16.9256i	−0.308558	+	0.725013i
$546$	−3.36772	+	4.81928i	−0.144125	+	0.206246i
$547$	38.7859	−	19.7624i	1.65837	−	0.844980i	0.663021	−	0.748601i	$-0.269274\pi$
$547$	38.7859	−	19.7624i	1.65837	−	0.844980i	0.995345	−	0.0963788i	$-0.0307260\pi$
$548$	−22.0245	−	20.4606i	−0.940842	−	0.874032i
$549$		−	3.44836i		−	0.147172i
$550$	−12.5297	+	9.08530i	−0.534269	+	0.387399i
$551$			83.5188i			3.55802i
$552$	1.98650	−	1.15442i	0.0845509	−	0.0491356i
$553$	−14.8641	+	7.57362i	−0.632084	+	0.322063i
$554$	−2.33143	−	1.62920i	−0.0990530	−	0.0692183i
$555$	11.8984	+	10.3629i	0.505061	+	0.439881i
$556$	39.0281	+	11.1114i	1.65516	+	0.471227i
$557$	21.7905	−	21.7905i	0.923294	−	0.923294i	−0.0739668	−	0.997261i	$-0.523566\pi$
$557$	21.7905	−	21.7905i	0.923294	−	0.923294i	0.997261	+	0.0739668i	$0.0235659\pi$
$558$	4.47983	+	4.31795i	0.189646	+	0.182793i
$559$	6.44666	+	4.68377i	0.272665	+	0.198103i
$560$	−8.84138	+	8.58658i	−0.373616	+	0.362849i
$561$	0.333773	−	0.242500i	0.0140919	−	0.0102384i
$562$	−30.6487	−	4.27786i	−1.29284	−	0.180451i
$563$	−6.93499	+	1.09839i	−0.292275	+	0.0462918i	−0.300850	−	0.953671i	$-0.597270\pi$
$563$	−6.93499	+	1.09839i	−0.292275	+	0.0462918i	0.00857524	+	0.999963i	$0.497270\pi$
$564$	−0.434695	−	11.8083i	−0.0183040	−	0.497219i
$565$	3.77951	+	9.38013i	0.159005	+	0.394625i
$566$	11.8584	−	8.95355i	0.498447	−	0.376346i
$567$	−0.625575	+	1.22776i	−0.0262717	+	0.0515611i
$568$	−28.6857	−	2.93281i	−1.20363	−	0.123058i
$569$	7.71221	−	2.50585i	0.323313	−	0.105051i	−0.142864	−	0.989742i	$-0.545631\pi$
$569$	7.71221	−	2.50585i	0.323313	−	0.105051i	0.466177	+	0.884692i	$0.345631\pi$
$570$	−14.2021	−	22.7282i	−0.594862	−	0.951978i
$571$	25.4007	+	8.25319i	1.06299	+	0.345385i	0.787753	−	0.615992i	$-0.211245\pi$
$571$	25.4007	+	8.25319i	1.06299	+	0.345385i	0.275234	+	0.961377i	$0.411245\pi$
$572$	−13.1119	−	1.58479i	−0.548235	−	0.0662636i
$573$	−2.21590	−	0.350964i	−0.0925706	−	0.0146617i
$574$	6.77944	+	2.06568i	0.282968	+	0.0862199i
$575$	−1.18015	−	3.88635i	−0.0492157	−	0.162072i
$576$	−1.61891	+	7.83448i	−0.0674546	+	0.326437i
$577$	−0.000681884		0.00430524i	−2.83872e−5		0.000179230i	−0.987703	−	0.156345i	$-0.950029\pi$
$577$	−0.000681884		0.00430524i	−2.83872e−5		0.000179230i	0.987674	+	0.156524i	$0.0500289\pi$
$578$	−23.6230	+	4.18838i	−0.982585	+	0.174214i
$579$	−6.61892	+	20.3709i	−0.275073	+	0.846588i
$580$	−24.0378	−	36.9386i	−0.998117	−	1.53379i
$581$	3.27938	+	10.0929i	0.136051	+	0.418723i
$582$	−7.47435	−	14.0252i	−0.309822	−	0.581365i
$583$	−15.1077	−	7.69777i	−0.625698	−	0.318809i
$584$	−1.93045	+	0.106658i	−0.0798826	+	0.00441353i
$585$	6.54440	+	1.63827i	0.270578	+	0.0677342i
$586$	42.9611	−	14.8381i	1.77471	−	0.612956i
$587$	5.54430	+	35.0053i	0.228838	+	1.44482i	0.787954	+	0.615734i	$0.211141\pi$
$587$	5.54430	+	35.0053i	0.228838	+	1.44482i	−0.559116	+	0.829089i	$0.688859\pi$
$588$	9.25475	+	4.29429i	0.381660	+	0.177094i
$589$	−21.9169	−	30.1660i	−0.903070	−	1.24297i
$590$	14.0071	−	12.1762i	0.576664	−	0.501286i
$591$	−8.38550	+	11.5416i	−0.344933	+	0.474760i
$592$	−2.35374	+	28.1272i	−0.0967383	+	1.15602i
$593$	25.8543	+	25.8543i	1.06171	+	1.06171i	0.997966	+	0.0637412i	$0.0203032\pi$
$593$	25.8543	+	25.8543i	1.06171	+	1.06171i	0.0637412	+	0.997966i	$0.479697\pi$
$594$	−3.09487	+	0.0569460i	−0.126984	+	0.00233652i
$595$	−0.298652	−	0.498107i	−0.0122436	−	0.0204204i
$596$	32.1337	−	25.2036i	1.31625	−	1.03238i
$597$	2.49888	+	4.90432i	0.102272	+	0.200720i
$598$	1.51643	−	3.11662i	0.0620116	−	0.127448i
$599$	31.6810			1.29445			0.647224	−	0.762299i	$-0.275930\pi$
$599$	31.6810			1.29445			0.647224	+	0.762299i	$0.275930\pi$
$600$	12.8228	+	5.96461i	0.523487	+	0.243504i
$601$	17.3908			0.709384			0.354692	−	0.934983i	$-0.384586\pi$
$601$	17.3908			0.709384			0.354692	+	0.934983i	$0.384586\pi$
$602$	−2.25186	+	4.62809i	−0.0917790	+	0.188627i
$603$	−3.24954	−	6.37758i	−0.132331	−	0.259715i
$604$	28.1084	−	22.0463i	1.14371	−	0.897052i
$605$	−1.22317	+	13.8304i	−0.0497288	+	0.562284i
$606$	−2.36247	+	0.0434697i	−0.0959687	+	0.00176584i
$607$	−17.8670	−	17.8670i	−0.725198	−	0.725198i	0.244461	−	0.969659i	$-0.421389\pi$
$607$	−17.8670	−	17.8670i	−0.725198	−	0.725198i	−0.969659	+	0.244461i	$0.921389\pi$
$608$	17.7493	−	44.5356i	0.719830	−	1.80616i
$609$	7.98164	−	10.9858i	0.323432	−	0.445166i
$610$	−4.26079	−	10.0378i	−0.172514	−	0.406419i
$611$	−10.4774	−	14.4209i	−0.423870	−	0.583407i
$612$	−0.341964	−	0.158674i	−0.0138231	−	0.00641403i
$613$	−3.10277	−	19.5901i	−0.125320	−	0.791238i	−0.967654	−	0.252282i	$-0.918819\pi$
$613$	−3.10277	−	19.5901i	−0.125320	−	0.791238i	0.842334	−	0.538956i	$-0.181181\pi$
$614$	−7.22949	+	2.49696i	−0.291759	+	0.100769i
$615$	−0.559611	−	8.11295i	−0.0225657	−	0.327146i
$616$	−0.470599	−	8.51760i	−0.0189610	−	0.343184i
$617$	11.7364	+	5.97999i	0.472489	+	0.240745i	0.673986	−	0.738744i	$-0.264581\pi$
$617$	11.7364	+	5.97999i	0.472489	+	0.240745i	−0.201497	+	0.979489i	$0.564581\pi$
$618$	−12.3573	−	23.1879i	−0.497084	−	0.932752i
$619$	11.2383	+	34.5880i	0.451706	+	1.39021i	0.874959	+	0.484197i	$0.160888\pi$
$619$	11.2383	+	34.5880i	0.451706	+	1.39021i	−0.423252	+	0.906012i	$0.639112\pi$
$620$	18.3756	+	7.03381i	0.737980	+	0.282484i
$621$	0.251020	−	0.772559i	0.0100731	−	0.0310017i
$622$	−28.0373	+	4.97104i	−1.12419	+	0.199321i
$623$	1.83128	−	11.5622i	0.0733685	−	0.463231i
$624$	4.56309	+	11.1723i	0.182670	+	0.447250i
$625$	15.4659	−	19.6420i	0.618635	−	0.785679i
$626$	8.37600	+	2.55215i	0.334772	+	0.102004i
$627$	18.3217	+	2.90186i	0.731696	+	0.115889i
$628$	3.59399	+	0.434394i	0.143416	+	0.0173342i
$629$	−1.26497	−	0.411015i	−0.0504378	−	0.0163882i
$630$	−0.303961	+	4.34684i	−0.0121101	+	0.173182i
$631$	−16.9828	+	5.51805i	−0.676075	+	0.219670i	−0.626876	−	0.779119i	$-0.715667\pi$
$631$	−16.9828	+	5.51805i	−0.676075	+	0.219670i	−0.0491990	+	0.998789i	$0.515667\pi$
$632$	−3.48281	+	34.0652i	−0.138539	+	1.35504i
$633$	−12.2735	+	24.0880i	−0.487826	+	0.957412i
$634$	−6.82516	+	5.15324i	−0.271062	+	0.204661i
$635$	42.9441	−	2.96218i	1.70419	−	0.117550i
$636$	0.569968	+	15.4829i	0.0226007	+	0.613938i
$637$	15.2013	−	2.40765i	0.602297	−	0.0953945i
$638$	30.2111	+	4.21679i	1.19607	+	0.166945i
$639$	−8.24777	+	5.99235i	−0.326277	+	0.237054i
$640$	4.96782	+	24.8057i	0.196370	+	0.980530i
$641$	−33.0212	−	23.9913i	−1.30426	−	0.947601i	−0.304273	−	0.952585i	$-0.598414\pi$
$641$	−33.0212	−	23.9913i	−1.30426	−	0.947601i	−0.999988	+	0.00498399i	$0.998414\pi$
$642$	13.7525	+	13.2555i	0.542766	+	0.523153i
$643$	−17.9239	+	17.9239i	−0.706849	+	0.706849i	−0.965871	−	0.259022i	$-0.916600\pi$
$643$	−17.9239	+	17.9239i	−0.706849	+	0.706849i	0.259022	+	0.965871i	$0.416600\pi$
$644$	2.15310	+	0.612991i	0.0848440	+	0.0241552i
$645$	5.88284	+	0.520283i	0.231637	+	0.0204861i
$646$	1.85184	+	1.29406i	0.0728596	+	0.0509143i
$647$	−6.51150	+	3.31778i	−0.255994	+	0.130435i	−0.577278	−	0.816547i	$-0.695885\pi$
$647$	−6.51150	+	3.31778i	−0.255994	+	0.130435i	0.321285	+	0.946983i	$0.395885\pi$
$648$	1.42115	+	2.44547i	0.0558281	+	0.0960672i
$649$			12.8461i			0.504252i
$650$	21.0743	−	3.31743i	0.826602	−	0.130120i
$651$			6.06247i			0.237607i
$652$	−14.3433	−	13.3247i	−0.561725	−	0.521836i
$653$	−32.5633	+	16.5918i	−1.27430	+	0.649289i	−0.954504	−	0.298197i	$-0.903615\pi$
$653$	−32.5633	+	16.5918i	−1.27430	+	0.649289i	−0.319797	+	0.947486i	$0.603615\pi$
$654$	−6.66388	+	9.53616i	−0.260578	+	0.372894i
$655$	−14.8478	+	8.90237i	−0.580151	+	0.347845i
$656$	11.1085	−	9.39292i	0.433715	−	0.366732i
$657$	−0.483349	+	0.483349i	−0.0188572	+	0.0188572i
$658$	7.98997	−	8.28952i	0.311481	−	0.323159i
$659$	24.2501	+	17.6187i	0.944650	+	0.686328i	0.949535	−	0.313660i	$-0.101555\pi$
$659$	24.2501	+	17.6187i	0.944650	+	0.686328i	−0.00488562	+	0.999988i	$0.501555\pi$
$660$	−8.93847	+	3.98979i	−0.347930	+	0.155302i
$661$	18.1452	−	13.1832i	0.705766	−	0.512769i	−0.176039	−	0.984383i	$-0.556329\pi$
$661$	18.1452	−	13.1832i	0.705766	−	0.512769i	0.881805	+	0.471614i	$0.156329\pi$
$662$	−0.159295	+	1.14126i	−0.00619117	+	0.0443565i
$663$	−0.561689	+	0.0889628i	−0.0218142	+	0.00345503i
$664$	21.0568	+	5.57824i	0.817163	+	0.216478i
$665$	6.34131	−	25.3316i	0.245905	−	0.982318i
$666$	6.01318	+	7.96410i	0.233006	+	0.308603i
$667$	−3.63423	+	7.13258i	−0.140718	+	0.276175i
$668$	29.0386	−	5.70149i	1.12354	−	0.220597i
$669$	−13.9316	+	4.52665i	−0.538626	+	0.175010i
$670$	−17.3392	−	14.5493i	−0.669872	−	0.562089i
$671$	7.17827	+	2.33236i	0.277114	+	0.0900398i
$672$	−6.59082	+	4.16182i	−0.254246	+	0.160546i
$673$	35.5839	+	5.63594i	1.37166	+	0.217250i	0.798402	−	0.602125i	$-0.205679\pi$
$673$	35.5839	+	5.63594i	1.37166	+	0.217250i	0.573258	+	0.819375i	$0.305679\pi$
$674$	−0.424936	+	1.39461i	−0.0163679	+	0.0537185i
$675$	4.78428	−	1.45282i	0.184147	−	0.0559191i
$676$	−6.47037	−	4.34655i	−0.248860	−	0.167175i
$677$	−5.41952	+	34.2175i	−0.208289	+	1.31508i	0.632854	+	0.774271i	$0.281883\pi$
$677$	−5.41952	+	34.2175i	−0.208289	+	1.31508i	−0.841143	+	0.540813i	$0.818117\pi$
$678$	1.11660	+	6.29776i	0.0428828	+	0.241864i
$679$	4.78513	−	14.7271i	0.183636	−	0.565175i
$680$	−1.19148	−	0.0393534i	−0.0456911	−	0.00150913i
$681$	0.342683	+	1.05467i	0.0131316	+	0.0404150i
$682$	−12.0185	+	6.40491i	−0.460211	+	0.245257i
$683$	12.3613	+	6.29842i	0.472994	+	0.241002i	0.674203	−	0.738546i	$-0.264487\pi$
$683$	12.3613	+	6.29842i	0.472994	+	0.241002i	−0.201210	+	0.979548i	$0.564487\pi$
$684$	−5.82738	−	15.9170i	−0.222815	−	0.608600i
$685$	−31.1747	+	12.5611i	−1.19112	+	0.479937i
$686$	7.69857	+	22.2898i	0.293933	+	0.851030i
$687$	1.34818	+	8.51208i	0.0514363	+	0.324756i
$688$	5.47537	+	9.03502i	0.208746	+	0.344457i
$689$	13.7379	+	18.9085i	0.523371	+	0.720358i
$690$	−0.223883	−	2.55900i	−0.00852308	−	0.0974193i
$691$	9.09380	−	12.5165i	0.345944	−	0.476152i	−0.600221	−	0.799834i	$-0.704921\pi$
$691$	9.09380	−	12.5165i	0.345944	−	0.476152i	0.946166	+	0.323682i	$0.104921\pi$
$692$	−2.82159	−	5.06768i	−0.107261	−	0.192644i
$693$	−2.13265	−	2.13265i	−0.0810125	−	0.0810125i
$694$	−0.914120	−	49.6801i	−0.0346995	−	1.88583i
$695$	29.7969	−	34.2121i	1.13026	−	1.29774i
$696$	−10.0625	−	25.9934i	−0.381420	−	0.985277i
$697$	0.311218	+	0.610799i	0.0117882	+	0.0231357i
$698$	−24.0885	−	11.7206i	−0.911763	−	0.443631i
$699$	−10.0391			−0.379713
$700$	4.48616	+	13.0288i	0.169561	+	0.492441i
$701$	26.8425			1.01383			0.506915	−	0.861996i	$-0.330786\pi$
$701$	26.8425			1.01383			0.506915	+	0.861996i	$0.330786\pi$
$702$	3.83670	+	1.86680i	0.144807	+	0.0704579i
$703$	−27.1502	−	53.2853i	−1.02399	−	2.00969i
$704$	−15.2137	−	8.66900i	−0.573386	−	0.326725i
$705$	−12.1559	−	5.17344i	−0.457819	−	0.194843i
$706$	−0.787740	−	42.8117i	−0.0296470	−	1.61124i
$707$	−1.62796	−	1.62796i	−0.0612256	−	0.0612256i
$708$	10.2556	−	5.71015i	0.385430	−	0.214600i
$709$	17.6460	−	24.2876i	0.662708	−	0.912139i	−0.336859	−	0.941555i	$-0.609365\pi$
$709$	17.6460	−	24.2876i	0.662708	−	0.912139i	0.999567	+	0.0294156i	$0.00936463\pi$
$710$	−16.6042	+	27.6340i	−0.623145	+	1.03709i
$711$	7.11611	+	9.79448i	0.266875	+	0.367322i
$712$	−17.9024	−	16.0278i	−0.670922	−	0.600667i
$713$	−0.559081	−	3.52990i	−0.0209377	−	0.132196i
$714$	−0.119915	−	0.347191i	−0.00448769	−	0.0129933i
$715$	−7.83673	+	12.5151i	−0.293077	+	0.468037i
$716$	2.42853	−	0.889114i	0.0907585	−	0.0332277i
$717$	−17.2292	−	8.77869i	−0.643435	−	0.327846i
$718$	13.2882	−	7.08159i	0.495913	−	0.264283i
$719$	−9.34020	−	28.7462i	−0.348331	−	1.07205i	−0.959776	−	0.280765i	$-0.909412\pi$
$719$	−9.34020	−	28.7462i	−0.348331	−	1.07205i	0.611446	−	0.791286i	$-0.290588\pi$
$720$	7.15844	+	5.36253i	0.266779	+	0.199850i
$721$	7.91123	−	24.3483i	0.294630	−	0.906777i
$722$	13.0425	+	73.5613i	0.485392	+	2.73767i
$723$	1.40525	−	8.87240i	0.0522618	−	0.329968i
$724$	−15.4754	+	23.0369i	−0.575137	+	0.856161i
$725$	−48.8065	+	6.76529i	−1.81263	+	0.251257i
$726$	−2.55945	+	8.39995i	−0.0949900	+	0.311751i
$727$	−21.2874	−	3.37159i	−0.789505	−	0.125045i	−0.251356	−	0.967895i	$-0.580876\pi$
$727$	−21.2874	−	3.37159i	−0.789505	−	0.125045i	−0.538150	+	0.842849i	$0.680876\pi$
$728$	−4.75225	+	10.7557i	−0.176130	+	0.398631i
$729$	0.951057	+	0.309017i	0.0352243	+	0.0114451i
$730$	−0.809750	+	2.00420i	−0.0299702	+	0.0741788i
$731$	−0.473471	+	0.153840i	−0.0175119	+	0.00568997i
$732$	−1.32875	−	6.76751i	−0.0491118	−	0.250134i
$733$	8.35023	−	16.3882i	0.308423	−	0.605314i	−0.683817	−	0.729654i	$-0.739681\pi$
$733$	8.35023	−	16.3882i	0.308423	−	0.605314i	0.992240	+	0.124340i	$0.0396813\pi$
$734$	−7.44388	−	9.85897i	−0.274759	−	0.363901i
$735$	8.74501	−	7.32387i	0.322565	−	0.270145i
$736$	3.45373	−	3.03104i	0.127306	−	0.111726i
$737$	15.4738	−	2.45080i	0.569984	−	0.0902765i
$738$	0.710993	−	5.09389i	0.0261720	−	0.187509i
$739$	13.9408	−	10.1286i	0.512820	−	0.372586i	−0.301072	−	0.953601i	$-0.597345\pi$
$739$	13.9408	−	10.1286i	0.512820	−	0.372586i	0.813892	+	0.581016i	$0.197345\pi$
$740$	27.3442	+	15.7527i	1.00519	+	0.579082i
$741$	−20.6864	−	15.0295i	−0.759933	−	0.552124i
$742$	−10.4764	+	10.8691i	−0.384600	+	0.399018i
$743$	5.20068	−	5.20068i	0.190794	−	0.190794i	−0.605245	−	0.796039i	$-0.706925\pi$
$743$	5.20068	−	5.20068i	0.190794	−	0.190794i	0.796039	+	0.605245i	$0.206925\pi$
$744$	10.4556	+	6.74791i	0.383322	+	0.247390i
$745$	−10.2290	−	44.4985i	−0.374762	−	1.63030i
$746$	−14.5694	+	20.8491i	−0.533422	+	0.763339i
$747$	6.86210	−	3.49641i	0.251071	−	0.127927i
$748$	0.561598	−	0.604526i	0.0205340	−	0.0221037i
$749$			18.6109i			0.680029i
$750$	12.1314	−	10.1405i	0.442976	−	0.370277i
$751$			8.66684i			0.316258i	0.987418	+	0.158129i	$0.0505461\pi$
$751$			8.66684i			0.316258i	−0.987418	+	0.158129i	$0.949454\pi$
$752$	−5.40316	−	23.0066i	−0.197033	−	0.838966i
$753$	−15.8373	+	8.06951i	−0.577143	+	0.294069i
$754$	−34.4660	−	24.0848i	−1.25518	−	0.877118i
$755$	−8.94763	−	38.9242i	−0.325637	−	1.41660i
$756$	−0.754621	+	2.65057i	−0.0274453	+	0.0964002i
$757$	−19.0390	+	19.0390i	−0.691983	+	0.691983i	−0.962668	−	0.270685i	$-0.912750\pi$
$757$	−19.0390	+	19.0390i	−0.691983	+	0.691983i	0.270685	+	0.962668i	$0.412750\pi$
$758$	0.292099	+	0.281544i	0.0106095	+	0.0102261i
$759$	1.43841	+	1.04507i	0.0522111	+	0.0379336i
$760$	−36.6299	−	39.1322i	−1.32870	−	1.41947i
$761$	15.8475	−	11.5139i	0.574471	−	0.417377i	−0.262256	−	0.964998i	$-0.584466\pi$
$761$	15.8475	−	11.5139i	0.574471	−	0.417377i	0.836726	+	0.547621i	$0.184466\pi$
$762$	26.9634	+	3.76349i	0.976781	+	0.136337i
$763$	−11.1959	+	1.77326i	−0.405320	+	0.0641963i
$764$	−4.48401	+	0.165068i	−0.162226	+	0.00597197i
$765$	−0.323129	+	0.270617i	−0.0116827	+	0.00978419i
$766$	−30.5794	+	23.0885i	−1.10488	+	0.834222i
$767$	8.03894	−	15.7773i	0.290269	−	0.569686i
$768$	−0.158322	+	15.9992i	−0.00571295	+	0.577322i
$769$	−41.2874	+	13.4151i	−1.48886	+	0.483760i	−0.936747	−	0.350008i	$-0.886179\pi$
$769$	−41.2874	+	13.4151i	−1.48886	+	0.483760i	−0.552114	+	0.833768i	$0.686179\pi$
$770$	−8.84300	−	3.57280i	−0.318680	−	0.128755i
$771$	−0.602855	−	0.195880i	−0.0217113	−	0.00705443i
$772$	−5.14036	+	42.5290i	−0.185006	+	1.53065i
$773$	−21.5334	−	3.41055i	−0.774501	−	0.122669i	−0.243341	−	0.969941i	$-0.578244\pi$
$773$	−21.5334	−	3.41055i	−0.774501	−	0.122669i	−0.531160	+	0.847272i	$0.678244\pi$
$774$	3.57298	+	1.08868i	0.128428	+	0.0391318i
$775$	15.8530	−	15.2513i	0.569457	−	0.547842i
$776$	−20.0729	−	24.6449i	−0.720577	−	0.884699i
$777$	−1.52106	+	9.60363i	−0.0545679	+	0.344528i
$778$	33.7724	−	5.98790i	1.21080	−	0.214676i
$779$	−9.52469	+	29.3140i	−0.341257	+	1.05028i
$780$	13.4749	+	0.693422i	0.482477	+	0.0248285i
$781$	−6.89544	−	21.2220i	−0.246738	−	0.759383i
$782$	0.101839	+	0.191095i	0.00364175	+	0.00683355i
$783$	−8.78054	−	4.47391i	−0.313791	−	0.159885i
$784$	19.8174	+	4.86157i	0.707766	+	0.173628i
$785$	2.14806	−	3.43040i	0.0766675	−	0.122436i
$786$	−10.3492	+	3.57447i	−0.369145	+	0.127497i
$787$	0.225440	+	1.42337i	0.00803607	+	0.0507377i	0.991381	−	0.131014i	$-0.0418233\pi$
$787$	0.225440	+	1.42337i	0.00803607	+	0.0507377i	−0.983344	+	0.181752i	$0.941823\pi$
$788$	−12.0095	+	25.8820i	−0.427820	+	0.922007i
$789$	−12.8285	−	17.6569i	−0.456705	−	0.628601i
$790$	32.8163	+	19.7180i	1.16755	+	0.701536i
$791$	−3.66306	+	5.04177i	−0.130243	+	0.179265i
$792$	−6.05183	+	1.30430i	−0.215043	+	0.0463461i
$793$	−7.35666	−	7.35666i	−0.261243	−	0.261243i
$794$	−11.5288	+	0.212131i	−0.409141	+	0.00752825i
$795$	15.9387	+	6.78337i	0.565288	+	0.240581i
$796$	6.79388	+	8.66199i	0.240803	+	0.307016i
$797$	1.09624	+	2.15150i	0.0388310	+	0.0762101i	0.909607	−	0.415470i	$-0.136383\pi$
$797$	1.09624	+	2.15150i	0.0388310	+	0.0762101i	−0.870776	+	0.491680i	$0.836383\pi$
$798$	7.22589	−	14.8509i	0.255794	−	0.525715i
$799$	1.11364			0.0393977
$800$	27.4634	+	6.76477i	0.970977	+	0.239171i
$801$	−8.49549			−0.300173
$802$	−6.64154	+	13.6499i	−0.234521	+	0.481994i
$803$	−0.679240	−	1.33308i	−0.0239699	−	0.0470435i
$804$	−8.83477	−	11.2641i	−0.311578	−	0.397253i
$805$	1.64383	−	1.88741i	0.0579375	−	0.0665224i
$806$	18.7690	−	0.345352i	0.661110	−	0.0121645i
$807$	−10.4223	−	10.4223i	−0.366883	−	0.366883i
$808$	−4.61967	+	0.995633i	−0.162519	+	0.0350263i
$809$	24.1930	−	33.2989i	0.850582	−	1.17073i	−0.133153	−	0.991096i	$-0.542510\pi$
$809$	24.1930	−	33.2989i	0.850582	−	1.17073i	0.983734	−	0.179630i	$-0.0574900\pi$
$810$	3.15024	−	0.275611i	0.110688	−	0.00968397i
$811$	11.0110	+	15.1553i	0.386647	+	0.532174i	0.957330	−	0.288996i	$-0.0933216\pi$
$811$	11.0110	+	15.1553i	0.386647	+	0.532174i	−0.570683	+	0.821170i	$0.693322\pi$
$812$	11.4311	−	24.6355i	0.401152	−	0.864535i
$813$	−1.53097	−	9.66615i	−0.0536934	−	0.339007i
$814$	−20.6456	+	7.13067i	−0.723627	+	0.249930i
$815$	−20.3022	+	8.18031i	−0.711155	+	0.286544i
$816$	−0.732255	−	0.179635i	−0.0256341	−	0.00628849i
$817$	−19.9443	−	10.1621i	−0.697762	−	0.355528i
$818$	15.2974	+	28.7048i	0.534862	+	1.00364i
$819$	1.28469	+	3.95387i	0.0448907	+	0.138159i
$820$	−4.22439	−	15.7063i	−0.147522	−	0.548487i
$821$	−10.6762	+	32.8579i	−0.372601	+	1.14675i	0.572482	+	0.819918i	$0.305981\pi$
$821$	−10.6762	+	32.8579i	−0.372601	+	1.14675i	−0.945083	+	0.326831i	$0.894019\pi$
$822$	−20.9305	+	3.71100i	−0.730035	+	0.129436i
$823$	6.73632	−	42.5315i	0.234814	−	1.48255i	−0.535308	−	0.844657i	$-0.679804\pi$
$823$	6.73632	−	42.5315i	0.234814	−	1.48255i	0.770121	−	0.637897i	$-0.220196\pi$
$824$	−33.1865	−	40.7452i	−1.15611	−	1.41943i
$825$	−0.211672	+	10.9418i	−0.00736948	+	0.380946i
$826$	10.9405	+	3.33356i	0.380670	+	0.115989i
$827$	−13.5505	−	2.14619i	−0.471198	−	0.0746304i	−0.0836802	−	0.996493i	$-0.526667\pi$
$827$	−13.5505	−	2.14619i	−0.471198	−	0.0746304i	−0.387518	+	0.921862i	$0.626667\pi$
$828$	0.194946	−	1.61289i	0.00677483	−	0.0560520i
$829$	52.3835	+	17.0204i	1.81936	+	0.591144i	0.999836	+	0.0180928i	$0.00575944\pi$
$829$	52.3835	+	17.0204i	1.81936	+	0.591144i	0.819519	+	0.573052i	$0.194241\pi$
$830$	15.6547	−	18.6565i	0.543381	−	0.647576i
$831$	−1.91277	+	0.621496i	−0.0663532	+	0.0215595i
$832$	13.2602	+	20.1677i	0.459714	+	0.699189i
$833$	−0.436533	+	0.856744i	−0.0151250	+	0.0296844i
$834$	22.8995	−	17.2899i	0.792944	−	0.598701i
$835$	8.03455	−	32.0956i	0.278047	−	1.11071i
$836$	37.0750	−	1.36483i	1.28226	−	0.0472036i
$837$	4.34547	−	0.688255i	0.150201	−	0.0237896i
$838$	−14.8132	−	2.06759i	−0.511712	−	0.0714236i
$839$	23.0160	−	16.7221i	0.794601	−	0.577312i	−0.114724	−	0.993397i	$-0.536598\pi$
$839$	23.0160	−	16.7221i	0.794601	−	0.577312i	0.909325	+	0.416086i	$0.136598\pi$
$840$	1.07842	+	8.64793i	0.0372091	+	0.298382i
$841$	55.1053	+	40.0363i	1.90018	+	1.38056i
$842$	−6.97320	−	6.72122i	−0.240312	−	0.231628i
$843$	−15.4729	+	15.4729i	−0.532914	+	0.532914i
$844$	−14.8053	+	52.0027i	−0.509618	+	1.79001i
$845$	−7.47428	+	4.48139i	−0.257123	+	0.154165i
$846$	−6.84885	−	4.78598i	−0.235468	−	0.164545i
$847$	−7.62349	+	3.88436i	−0.261946	+	0.133468i
$848$	7.08456	+	30.1661i	0.243285	+	1.03591i
$849$		−	10.5069i		−	0.360595i
$850$	−0.606218	+	1.18700i	−0.0207931	+	0.0407136i
$851$		−	5.73202i		−	0.196491i
$852$	−13.8775	+	14.9383i	−0.475434	+	0.511776i
$853$	−24.4934	+	12.4800i	−0.838637	+	0.427307i	−0.819892	−	0.572518i	$-0.805967\pi$
$853$	−24.4934	+	12.4800i	−0.838637	+	0.427307i	−0.0187443	+	0.999824i	$0.505967\pi$
$854$	3.84915	−	5.50823i	0.131715	−	0.188488i
$855$	−18.8772	−	1.66951i	−0.645585	−	0.0570961i
$856$	32.0973	+	20.7151i	1.09706	+	0.708029i
$857$	1.72854	−	1.72854i	0.0590459	−	0.0590459i	−0.676967	−	0.736013i	$-0.736706\pi$
$857$	1.72854	−	1.72854i	0.0590459	−	0.0590459i	0.736013	+	0.676967i	$0.236706\pi$
$858$	−6.48105	+	6.72402i	−0.221259	+	0.229554i
$859$	34.6723	+	25.1909i	1.18300	+	0.859502i	0.992507	−	0.122186i	$-0.0389906\pi$
$859$	34.6723	+	25.1909i	1.18300	+	0.859502i	0.190495	+	0.981688i	$0.438991\pi$
$860$	11.7457	−	1.24575i	0.400526	−	0.0424796i
$861$	4.05429	−	2.94562i	0.138170	−	0.100386i
$862$	−3.61257	+	25.8821i	−0.123044	+	0.881549i
$863$	−15.8885	+	2.51648i	−0.540849	+	0.0856621i	−0.420881	−	0.907116i	$-0.638279\pi$
$863$	−15.8885	+	2.51648i	−0.540849	+	0.0856621i	−0.119968	+	0.992778i	$0.538279\pi$
$864$	3.73136	+	4.25170i	0.126943	+	0.144646i
$865$	−6.46949	+	0.446249i	−0.219969	+	0.0151729i
$866$	7.65801	+	10.1426i	0.260230	+	0.344659i
$867$	−7.70171	+	15.1155i	−0.261564	+	0.513348i
$868$	2.33603	+	11.8978i	0.0792901	+	0.403837i
$869$	−25.2018	+	8.18856i	−0.854912	+	0.277778i
$870$	−31.0872	−	2.17383i	−1.05395	−	0.0736997i
$871$	−20.5383	−	6.67330i	−0.695914	−	0.226116i
$872$	−9.40352	+	21.2828i	−0.318443	+	0.720726i
$873$	−11.0994	−	1.75797i	−0.375657	−	0.0594982i
$874$	−2.83776	+	9.31334i	−0.0959885	+	0.315029i
$875$	15.3169	+	1.65378i	0.517806	+	0.0559079i
$876$	−0.762339	+	1.13483i	−0.0257570	+	0.0383425i
$877$	0.650180	−	4.10507i	0.0219550	−	0.138619i	−0.974276	−	0.225358i	$-0.927645\pi$
$877$	0.650180	−	4.10507i	0.0219550	−	0.138619i	0.996231	+	0.0867396i	$0.0276448\pi$
$878$	−0.806360	−	4.54797i	−0.0272133	−	0.153486i
$879$	9.93148	−	30.5659i	0.334980	−	1.03096i
$880$	−16.0046	+	11.2743i	−0.539517	+	0.380057i
$881$	4.98869	+	15.3536i	0.168073	+	0.517276i	0.999250	−	0.0387328i	$-0.0123321\pi$
$881$	4.98869	+	15.3536i	0.168073	+	0.517276i	−0.831176	+	0.556009i	$0.812332\pi$
$882$	6.36662	−	3.39291i	0.214375	−	0.114245i
$883$	−4.32760	−	2.20502i	−0.145635	−	0.0742049i	0.379654	−	0.925128i	$-0.376043\pi$
$883$	−4.32760	−	2.20502i	−0.145635	−	0.0742049i	−0.525289	+	0.850924i	$0.676043\pi$
$884$	−1.06805	+	0.391026i	−0.0359225	+	0.0131516i
$885$	−0.903089	−	13.0925i	−0.0303570	−	0.440100i
$886$	−0.809645	−	2.34418i	−0.0272006	−	0.0787544i
$887$	1.80433	+	11.3921i	0.0605834	+	0.382509i	0.999286	+	0.0377807i	$0.0120288\pi$
$887$	1.80433	+	11.3921i	0.0605834	+	0.382509i	−0.938703	+	0.344728i	$0.887971\pi$
$888$	14.8698	+	13.3127i	0.498999	+	0.446746i
$889$	15.5920	+	21.4605i	0.522938	+	0.719762i
$890$	−24.7295	+	10.4970i	−0.828933	+	0.351861i
$891$	−1.28653	+	1.77076i	−0.0431004	+	0.0593226i
$892$	−25.5969	+	14.2519i	−0.857048	+	0.477189i
$893$	35.4063	+	35.4063i	1.18483	+	1.18483i
$894$	−0.531256	−	28.8724i	−0.0177678	−	0.965638i
$895$	0.254726	−	2.88019i	0.00851455	−	0.0962740i
$896$	−11.3310	+	10.7073i	−0.378543	+	0.357706i
$897$	−1.11264	−	2.18368i	−0.0371500	−	0.0729110i
$898$	−13.0398	−	6.34471i	−0.435145	−	0.211726i
$899$	−43.3568			−1.44603
$900$	8.82948	−	4.69472i	0.294316	−	0.156491i
$901$	−1.46019			−0.0486460
$902$	10.1228	+	4.92539i	0.337052	+	0.163997i
$903$	1.65224	+	3.24271i	0.0549832	+	0.107911i
$904$	4.61806	+	11.9293i	0.153594	+	0.396762i
$905$	15.9554	+	26.6112i	0.530377	+	0.884588i
$906$	−0.464706	−	25.2556i	−0.0154388	−	0.839061i
$907$	23.8427	+	23.8427i	0.791685	+	0.791685i	0.981768	−	0.190083i	$-0.0608758\pi$
$907$	23.8427	+	23.8427i	0.791685	+	0.791685i	−0.190083	+	0.981768i	$0.560876\pi$
$908$	1.07892	+	1.93778i	0.0358052	+	0.0643074i
$909$	−0.982072	+	1.35171i	−0.0325733	+	0.0448333i
$910$	8.62500	+	9.92192i	0.285916	+	0.328909i
$911$	−6.33940	−	8.72543i	−0.210034	−	0.289086i	0.690983	−	0.722871i	$-0.257178\pi$
$911$	−6.33940	−	8.72543i	−0.210034	−	0.289086i	−0.901017	+	0.433785i	$0.857178\pi$
$912$	−17.5696	−	28.9920i	−0.581789	−	0.960023i
$913$	2.63700	+	16.6493i	0.0872718	+	0.551013i
$914$	12.9074	+	37.3711i	0.426939	+	1.23613i
$915$	−7.47996	−	1.87247i	−0.247280	−	0.0619020i
$916$	5.92578	+	16.1857i	0.195793	+	0.534791i
$917$	−9.50558	−	4.84334i	−0.313902	−	0.159941i
$918$	−0.235247	+	0.125368i	−0.00776431	+	0.00413777i
$919$	−13.2306	−	40.7197i	−0.436439	−	1.34322i	−0.891605	−	0.452814i	$-0.850420\pi$
$919$	−13.2306	−	40.7197i	−0.436439	−	1.34322i	0.455167	−	0.890406i	$-0.349580\pi$
$920$	−1.42543	−	4.93584i	−0.0469949	−	0.162730i
$921$	−1.67127	+	5.14364i	−0.0550702	+	0.169489i
$922$	5.21053	+	29.3880i	0.171600	+	0.967842i
$923$	−4.81166	+	30.3796i	−0.158378	+	0.999957i
$924$	−5.00715	−	3.36362i	−0.164723	−	0.110655i
$925$	28.9395	−	20.1822i	0.951524	−	0.663588i
$926$	−5.52788	+	18.1422i	−0.181657	+	0.596189i
$927$	−18.3505	−	2.90644i	−0.602711	−	0.0954600i
$928$	−29.7640	−	47.1354i	−0.977051	−	1.54730i
$929$	−44.6887	−	14.5202i	−1.46619	−	0.476394i	−0.536235	−	0.844069i	$-0.680154\pi$
$929$	−44.6887	−	14.5202i	−1.46619	−	0.476394i	−0.929954	+	0.367675i	$0.880154\pi$
$930$	11.7988	−	7.37270i	0.386897	−	0.241760i
$931$	−41.1176	+	13.3599i	−1.34757	+	0.437853i
$932$	−19.7020	+	3.86833i	−0.645360	+	0.126711i
$933$	−9.14089	+	17.9400i	−0.299259	+	0.587329i
$934$	−0.0504333	−	0.0667958i	−0.00165023	−	0.00218563i
$935$	−0.344776	−	0.855677i	−0.0112754	−	0.0279836i
$936$	8.24898	+	2.18527i	0.269626	+	0.0714277i
$937$	−11.9522	+	1.89304i	−0.390460	+	0.0618429i	−0.348578	−	0.937280i	$-0.613335\pi$
$937$	−11.9522	+	1.89304i	−0.390460	+	0.0618429i	−0.0418822	+	0.999123i	$0.513335\pi$
$938$	1.92818	−	13.8144i	0.0629575	−	0.451057i
$939$	5.00908	−	3.63931i	0.163465	−	0.118764i
$940$	−25.8498	−	5.46903i	−0.843129	−	0.178380i
$941$	−14.0733	−	10.2249i	−0.458777	−	0.333321i	0.334274	−	0.942476i	$-0.391509\pi$
$941$	−14.0733	−	10.2249i	−0.458777	−	0.333321i	−0.793051	+	0.609155i	$0.791509\pi$
$942$	1.77646	−	1.84306i	0.0578804	−	0.0600503i
$943$	−2.08898	+	2.08898i	−0.0680267	+	0.0680267i
$944$	17.9267	−	15.1581i	0.583465	−	0.493354i
$945$	2.32349	+	2.02364i	0.0755831	+	0.0658289i
$946$	−4.68290	+	6.70134i	−0.152254	+	0.217879i
$947$	52.5031	−	26.7517i	1.70612	−	0.869312i	0.721982	−	0.691912i	$-0.243231\pi$
$947$	52.5031	−	26.7517i	1.70612	−	0.869312i	0.984139	−	0.177400i	$-0.0567686\pi$
$948$	17.7397	+	16.4799i	0.576157	+	0.535244i
$949$			2.06233i			0.0669462i
$950$	−57.0122	+	18.4649i	−1.84972	+	0.599079i
$951$			6.04726i			0.196096i
$952$	−0.369118	−	0.635167i	−0.0119632	−	0.0205859i
$953$	−15.4975	+	7.89635i	−0.502012	+	0.255788i	−0.686609	−	0.727026i	$-0.740902\pi$
$953$	−15.4975	+	7.89635i	−0.502012	+	0.255788i	0.184598	+	0.982814i	$0.440902\pi$
$954$	8.98015	+	6.27533i	0.290743	+	0.203171i
$955$	−1.96453	+	4.61601i	−0.0635707	+	0.149371i
$956$	−37.1954	−	10.5896i	−1.20299	−	0.342492i
$957$	15.2520	−	15.2520i	0.493027	−	0.493027i
$958$	18.2173	+	17.5590i	0.588574	+	0.567305i
$959$	−16.7562	−	12.1741i	−0.541087	−	0.393122i
$960$	16.1150	+	7.76579i	0.520109	+	0.250640i
$961$	−9.41956	+	6.84371i	−0.303857	+	0.220765i
$962$	29.8189	+	4.16204i	0.961399	+	0.134190i
$963$	13.3400	−	2.11285i	0.429875	−	0.0680855i
$964$	−0.660929	−	17.9538i	−0.0212871	−	0.578254i
$965$	40.5932	+	25.4188i	1.30674	+	0.818261i
$966$	1.26332	−	0.953850i	0.0406466	−	0.0306896i
$967$	−13.5916	+	26.6750i	−0.437076	+	0.857810i	0.562444	+	0.826835i	$0.309861\pi$
$967$	−13.5916	+	26.6750i	−0.437076	+	0.857810i	−0.999520	+	0.0309748i	$0.990139\pi$
$968$	−1.78627	+	17.4714i	−0.0574127	+	0.561551i
$969$	1.51930	−	0.493649i	0.0488068	−	0.0158583i
$970$	−34.4812	+	8.59713i	−1.10713	+	0.276037i
$971$	49.5544	+	16.1012i	1.59028	+	0.516712i	0.964678	−	0.263433i	$-0.0848549\pi$
$971$	49.5544	+	16.1012i	1.59028	+	0.516712i	0.625598	+	0.780145i	$0.284855\pi$
$972$	1.98555	+	0.239987i	0.0636865	+	0.00769760i
$973$	27.6137	+	4.37357i	0.885253	+	0.140210i
$974$	47.9824	+	14.6201i	1.53746	+	0.468459i
$975$	7.10726	−	13.3061i	0.227615	−	0.426136i
$976$	−5.21540	−	12.7694i	−0.166941	−	0.408740i
$977$	1.94136	−	12.2573i	0.0621097	−	0.392145i	−0.936976	−	0.349394i	$-0.886388\pi$
$977$	1.94136	−	12.2573i	0.0621097	−	0.392145i	0.999086	−	0.0427516i	$-0.0136124\pi$
$978$	−13.6308	+	2.41675i	−0.435864	+	0.0772792i
$979$	5.74608	−	17.6846i	0.183646	−	0.565203i
$980$	14.3403	−	17.7430i	0.458083	−	0.566779i
$981$	2.54208	+	7.82372i	0.0811624	+	0.249792i
$982$	17.7698	+	33.3440i	0.567056	+	1.06405i
$983$	−42.3922	−	21.5999i	−1.35210	−	0.688930i	−0.380330	−	0.924851i	$-0.624189\pi$
$983$	−42.3922	−	21.5999i	−1.35210	−	0.688930i	−0.971772	+	0.235921i	$0.924189\pi$
$984$	−0.567469	−	10.2709i	−0.0180902	−	0.327424i
$985$	20.4820	+	24.4564i	0.652612	+	0.779247i
$986$	2.48300	−	0.857590i	0.0790748	−	0.0273112i
$987$	−1.27355	−	8.04089i	−0.0405376	−	0.255944i
$988$	−46.3889	−	21.5249i	−1.47583	−	0.684798i
$989$	−1.26107	−	1.73571i	−0.0400996	−	0.0551924i
$990$	−1.55700	+	6.74412i	−0.0494848	+	0.214342i
$991$	9.91043	−	13.6405i	0.314815	−	0.433306i	−0.622060	−	0.782969i	$-0.713704\pi$
$991$	9.91043	−	13.6405i	0.314815	−	0.433306i	0.936875	+	0.349664i	$0.113704\pi$
$992$	23.1196	+	9.21414i	0.734049	+	0.292549i
$993$	0.576163	+	0.576163i	0.0182840	+	0.0182840i
$994$	−19.8634	+	0.365489i	−0.630028	+	0.0115926i
$995$	11.9950	−	2.75734i	0.380268	−	0.0874135i
$996$	12.1198	−	9.50597i	0.384031	−	0.301208i
$997$	−1.23057	−	2.41514i	−0.0389727	−	0.0764882i	0.870699	−	0.491816i	$-0.163667\pi$
$997$	−1.23057	−	2.41514i	−0.0389727	−	0.0764882i	−0.909672	+	0.415328i	$0.863667\pi$
$998$	−6.24286	+	12.8305i	−0.197614	+	0.406143i
$999$	7.05639			0.223254

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.223.20	yes	240
3.2	odd	2		900.2.bj.f.523.11		240
4.3	odd	2	inner	300.2.w.a.223.15	yes	240
12.11	even	2		900.2.bj.f.523.16		240
25.12	odd	20	inner	300.2.w.a.187.15	✓	240
75.62	even	20		900.2.bj.f.487.16		240
100.87	even	20	inner	300.2.w.a.187.20	yes	240
300.287	odd	20		900.2.bj.f.487.11		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.187.15	✓	240	25.12	odd	20	inner
300.2.w.a.187.20	yes	240	100.87	even	20	inner
300.2.w.a.223.15	yes	240	4.3	odd	2	inner
300.2.w.a.223.20	yes	240	1.1	even	1	trivial
900.2.bj.f.487.11		240	300.287	odd	20
900.2.bj.f.487.16		240	75.62	even	20
900.2.bj.f.523.11		240	3.2	odd	2
900.2.bj.f.523.16		240	12.11	even	2

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.618749 - 1.27167i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.23430 - 1.57369i) q^{4} +(-2.17923 + 0.500947i) q^{5} +(-1.41397 + 0.0260173i) q^{6} +(-0.974356 - 0.974356i) q^{7} +(-2.76494 + 0.595902i) q^{8} +(-0.587785 + 0.809017i) q^{9} +O(q^{10})\)	\(q+(0.618749 - 1.27167i) q^{2} +(-0.453990 - 0.891007i) q^{3} +(-1.23430 - 1.57369i) q^{4} +(-2.17923 + 0.500947i) q^{5} +(-1.41397 + 0.0260173i) q^{6} +(-0.974356 - 0.974356i) q^{7} +(-2.76494 + 0.595902i) q^{8} +(-0.587785 + 0.809017i) q^{9} +(-0.711358 + 3.08123i) q^{10} +(-1.28653 - 1.77076i) q^{11} +(-0.841810 + 1.81421i) q^{12} +(0.471971 + 2.97991i) q^{13} +(-1.84194 + 0.636179i) q^{14} +(1.43570 + 1.71428i) q^{15} +(-0.953014 + 3.88481i) q^{16} +(-0.167947 - 0.0855735i) q^{17} +(0.665112 + 1.24805i) q^{18} +(-2.61894 - 8.06028i) q^{19} +(3.47816 + 2.81112i) q^{20} +(-0.425809 + 1.31051i) q^{21} +(-3.04786 + 0.540389i) q^{22} +(0.127074 - 0.802316i) q^{23} +(1.78621 + 2.19305i) q^{24} +(4.49810 - 2.18336i) q^{25} +(4.08150 + 1.24362i) q^{26} +(0.987688 + 0.156434i) q^{27} +(-0.330690 + 2.73598i) q^{28} +(-9.37232 - 3.04525i) q^{29} +(3.06834 - 0.765024i) q^{30} +(4.18430 - 1.35956i) q^{31} +(4.35053 + 3.61565i) q^{32} +(-0.993683 + 1.95021i) q^{33} +(-0.212739 + 0.160626i) q^{34} +(2.61145 + 1.63525i) q^{35} +(1.99865 - 0.0735756i) q^{36} +(6.96951 - 1.10386i) q^{37} +(-11.8705 - 1.65685i) q^{38} +(2.44085 - 1.77338i) q^{39} +(5.72693 - 2.68370i) q^{40} +(-2.94227 - 2.13768i) q^{41} +(1.40306 + 1.35236i) q^{42} +(1.86758 - 1.86758i) q^{43} +(-1.19866 + 4.21024i) q^{44} +(0.875646 - 2.05749i) q^{45} +(-0.941655 - 0.658029i) q^{46} +(-5.26420 + 2.68224i) q^{47} +(3.89405 - 0.914526i) q^{48} -5.10126i q^{49} +(0.00668054 - 7.07106i) q^{50} +0.188492i q^{51} +(4.10691 - 4.42084i) q^{52} +(6.90236 - 3.51693i) q^{53} +(0.810065 - 1.15922i) q^{54} +(3.69070 + 3.21440i) q^{55} +(3.27466 + 2.11342i) q^{56} +(-5.99278 + 5.99278i) q^{57} +(-9.67167 + 10.0343i) q^{58} +(-4.74817 - 3.44975i) q^{59} +(0.925676 - 4.37529i) q^{60} +(-2.78978 + 2.02689i) q^{61} +(0.860117 - 6.16229i) q^{62} +(1.36098 - 0.215559i) q^{63} +(7.28980 - 3.29527i) q^{64} +(-2.52131 - 6.25748i) q^{65} +(1.86519 + 2.47033i) q^{66} +(-3.24954 + 6.37758i) q^{67} +(0.0726310 + 0.369921i) q^{68} +(-0.772559 + 0.251020i) q^{69} +(3.69533 - 2.30910i) q^{70} +(9.69583 + 3.15037i) q^{71} +(1.14310 - 2.58715i) q^{72} +(0.675143 + 0.106932i) q^{73} +(2.90863 - 9.54595i) q^{74} +(-3.98748 - 3.01661i) q^{75} +(-9.45184 + 14.0702i) q^{76} +(-0.471809 + 2.97889i) q^{77} +(-0.744885 - 4.20124i) q^{78} +(3.74116 - 11.5141i) q^{79} +(0.130752 - 8.94332i) q^{80} +(-0.309017 - 0.951057i) q^{81} +(-4.53896 + 2.41891i) q^{82} +(-6.86210 - 3.49641i) q^{83} +(2.58791 - 0.947463i) q^{84} +(0.408864 + 0.102352i) q^{85} +(-1.21938 - 3.53051i) q^{86} +(1.54160 + 9.73331i) q^{87} +(4.61238 + 4.12939i) q^{88} +(4.99353 + 6.87300i) q^{89} +(-2.07464 - 2.38660i) q^{90} +(2.44363 - 3.36336i) q^{91} +(-1.41945 + 0.790321i) q^{92} +(-3.11101 - 3.11101i) q^{93} +(0.153714 + 8.35397i) q^{94} +(9.74506 + 16.2533i) q^{95} +(1.24646 - 5.51782i) q^{96} +(5.10182 + 10.0129i) q^{97} +(-6.48713 - 3.15640i) q^{98} +2.18877 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

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