LMFDB - Embedded newform 300.2.w.a.103.1

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			103.1
Character	$\chi$	$=$	300.103
Dual form			300.2.w.a.67.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38407 - 0.290430i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(1.83130 + 0.803952i) q^{4} +(0.979302 - 2.01022i) q^{5} +(1.41246 + 0.0703383i) q^{6} +(-0.0808033 - 0.0808033i) q^{7} +(-2.30116 - 1.64459i) q^{8} +(0.951057 - 0.309017i) q^{9} +O(q^{10})$	\(q+(-1.38407 - 0.290430i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(1.83130 + 0.803952i) q^{4} +(0.979302 - 2.01022i) q^{5} +(1.41246 + 0.0703383i) q^{6} +(-0.0808033 - 0.0808033i) q^{7} +(-2.30116 - 1.64459i) q^{8} +(0.951057 - 0.309017i) q^{9} +(-1.93925 + 2.49786i) q^{10} +(-0.521065 - 0.169304i) q^{11} +(-1.93452 - 0.507575i) q^{12} +(-0.379036 + 0.743901i) q^{13} +(0.0883697 + 0.135305i) q^{14} +(-0.652778 + 2.13866i) q^{15} +(2.70732 + 2.94455i) q^{16} +(0.514721 - 3.24982i) q^{17} +(-1.40608 + 0.151486i) q^{18} +(2.87295 - 2.08732i) q^{19} +(3.40951 - 2.89400i) q^{20} +(0.0924489 + 0.0671680i) q^{21} +(0.672020 + 0.385662i) q^{22} +(-3.38282 - 6.63917i) q^{23} +(2.53010 + 1.26436i) q^{24} +(-3.08194 - 3.93722i) q^{25} +(0.740664 - 0.919527i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(-0.0830132 - 0.212937i) q^{28} +(4.57530 - 6.29737i) q^{29} +(1.52462 - 2.77047i) q^{30} +(-1.38542 - 1.90687i) q^{31} +(-2.89194 - 4.86176i) q^{32} +(0.541135 + 0.0857074i) q^{33} +(-1.65626 + 4.34849i) q^{34} +(-0.241563 + 0.0833013i) q^{35} +(1.99011 + 0.198701i) q^{36} +(0.401778 + 0.204716i) q^{37} +(-4.58259 + 2.05461i) q^{38} +(0.257998 - 0.794036i) q^{39} +(-5.55951 + 3.01527i) q^{40} +(1.29216 + 3.97687i) q^{41} +(-0.108448 - 0.119815i) q^{42} +(2.31395 - 2.31395i) q^{43} +(-0.818115 - 0.728959i) q^{44} +(0.310180 - 2.21445i) q^{45} +(2.75385 + 10.1715i) q^{46} +(-0.528548 - 3.33712i) q^{47} +(-3.13462 - 2.48478i) q^{48} -6.98694i q^{49} +(3.12213 + 6.34447i) q^{50} +3.29033i q^{51} +(-1.29219 + 1.05758i) q^{52} +(2.22344 + 14.0382i) q^{53} +(1.36507 - 0.369579i) q^{54} +(-0.850619 + 0.881654i) q^{55} +(0.0530527 + 0.318829i) q^{56} +(-2.51105 + 2.51105i) q^{57} +(-8.16149 + 7.38719i) q^{58} +(-1.80325 - 5.54984i) q^{59} +(-2.91481 + 3.39173i) q^{60} +(-2.07653 + 6.39089i) q^{61} +(1.36371 + 3.04161i) q^{62} +(-0.101818 - 0.0518789i) q^{63} +(2.59064 + 7.56892i) q^{64} +(1.12421 + 1.49045i) q^{65} +(-0.724077 - 0.275787i) q^{66} +(12.2481 + 1.93991i) q^{67} +(3.55531 - 5.53758i) q^{68} +(4.37977 + 6.02824i) q^{69} +(0.358533 - 0.0451376i) q^{70} +(-9.28233 + 12.7760i) q^{71} +(-2.69674 - 0.853002i) q^{72} +(1.31572 - 0.670391i) q^{73} +(-0.496633 - 0.400030i) q^{74} +(3.65991 + 3.40662i) q^{75} +(6.93934 - 1.51280i) q^{76} +(0.0284234 + 0.0557842i) q^{77} +(-0.587700 + 1.02407i) q^{78} +(-4.21793 - 3.06451i) q^{79} +(8.57048 - 2.55870i) q^{80} +(0.809017 - 0.587785i) q^{81} +(-0.633441 - 5.87955i) q^{82} +(-0.973158 + 6.14428i) q^{83} +(0.115302 + 0.197329i) q^{84} +(-6.02877 - 4.21725i) q^{85} +(-3.87472 + 2.53063i) q^{86} +(-3.53385 + 6.93557i) q^{87} +(0.920617 + 1.24654i) q^{88} +(9.70119 + 3.15211i) q^{89} +(-1.07245 + 2.97487i) q^{90} +(0.0907370 - 0.0294822i) q^{91} +(-0.857397 - 14.8779i) q^{92} +(1.66666 + 1.66666i) q^{93} +(-0.237653 + 4.77231i) q^{94} +(-1.38248 - 7.81937i) q^{95} +(3.61688 + 4.34950i) q^{96} +(-1.70626 + 0.270245i) q^{97} +(-2.02922 + 9.67042i) q^{98} -0.547881 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 $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{20}\right)$

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 $

$2$	−1.38407	−	0.290430i	−0.978685	−	0.205365i
$2$	−1.38407	−	0.290430i	−0.978685	−	0.205365i
$3$	−0.987688	+	0.156434i	−0.570242	+	0.0903175i
$3$	−0.987688	+	0.156434i	−0.570242	+	0.0903175i
$4$	1.83130	+	0.803952i	0.915650	+	0.401976i
$5$	0.979302	−	2.01022i	0.437957	−	0.898996i
$5$	0.979302	−	2.01022i	0.437957	−	0.898996i
$6$	1.41246	+	0.0703383i	0.576636	+	0.0287155i
$7$	−0.0808033	−	0.0808033i	−0.0305408	−	0.0305408i	0.691671	−	0.722212i	$-0.256875\pi$
$7$	−0.0808033	−	0.0808033i	−0.0305408	−	0.0305408i	−0.722212	+	0.691671i	$0.756875\pi$
$8$	−2.30116	−	1.64459i	−0.813582	−	0.581451i
$9$	0.951057	−	0.309017i	0.317019	−	0.103006i
$10$	−1.93925	+	2.49786i	−0.613245	+	0.789893i
$11$	−0.521065	−	0.169304i	−0.157107	−	0.0510472i	0.229408	−	0.973330i	$-0.426321\pi$
$11$	−0.521065	−	0.169304i	−0.157107	−	0.0510472i	−0.386515	+	0.922283i	$0.626321\pi$
$12$	−1.93452	−	0.507575i	−0.558448	−	0.146524i
$13$	−0.379036	+	0.743901i	−0.105126	+	0.206321i	−0.937577	−	0.347777i	$-0.886937\pi$
$13$	−0.379036	+	0.743901i	−0.105126	+	0.206321i	0.832452	+	0.554098i	$0.186937\pi$
$14$	0.0883697	+	0.135305i	0.0236178	+	0.0361618i
$15$	−0.652778	+	2.13866i	−0.168547	+	0.552201i
$16$	2.70732	+	2.94455i	0.676831	+	0.736139i
$17$	0.514721	−	3.24982i	0.124838	−	0.788197i	−0.843238	−	0.537540i	$-0.819354\pi$
$17$	0.514721	−	3.24982i	0.124838	−	0.788197i	0.968076	−	0.250656i	$-0.0806465\pi$
$18$	−1.40608	+	0.151486i	−0.331415	+	0.0357055i
$19$	2.87295	−	2.08732i	0.659100	−	0.478864i	−0.207259	−	0.978286i	$-0.566454\pi$
$19$	2.87295	−	2.08732i	0.659100	−	0.478864i	0.866359	+	0.499422i	$0.166454\pi$
$20$	3.40951	−	2.89400i	0.762390	−	0.647118i
$21$	0.0924489	+	0.0671680i	0.0201740	+	0.0146573i
$22$	0.672020	+	0.385662i	0.143275	+	0.0822235i
$23$	−3.38282	−	6.63917i	−0.705367	−	1.38436i	−0.913735	−	0.406311i	$-0.866815\pi$
$23$	−3.38282	−	6.63917i	−0.705367	−	1.38436i	0.208367	−	0.978051i	$-0.433185\pi$
$24$	2.53010	+	1.26436i	0.516454	+	0.258087i
$25$	−3.08194	−	3.93722i	−0.616387	−	0.787443i
$26$	0.740664	−	0.919527i	0.145256	−	0.180334i
$27$	−0.891007	+	0.453990i	−0.171474	+	0.0873705i
$28$	−0.0830132	−	0.212937i	−0.0156880	−	0.0402413i
$29$	4.57530	−	6.29737i	0.849613	−	1.16939i	−0.134335	−	0.990936i	$-0.542890\pi$
$29$	4.57530	−	6.29737i	0.849613	−	1.16939i	0.983948	−	0.178455i	$-0.0571100\pi$
$30$	1.52462	−	2.77047i	0.278357	−	0.505817i
$31$	−1.38542	−	1.90687i	−0.248829	−	0.342484i	0.666272	−	0.745709i	$-0.267889\pi$
$31$	−1.38542	−	1.90687i	−0.248829	−	0.342484i	−0.915101	+	0.403225i	$0.867889\pi$
$32$	−2.89194	−	4.86176i	−0.511227	−	0.859446i
$33$	0.541135	+	0.0857074i	0.0941996	+	0.0149197i
$34$	−1.65626	+	4.34849i	−0.284045	+	0.745759i
$35$	−0.241563	+	0.0833013i	−0.0408316	+	0.0140805i
$36$	1.99011	+	0.198701i	0.331684	+	0.0331168i
$37$	0.401778	+	0.204716i	0.0660518	+	0.0336551i	0.486704	−	0.873567i	$-0.338199\pi$
$37$	0.401778	+	0.204716i	0.0660518	+	0.0336551i	−0.420653	+	0.907222i	$0.638199\pi$
$38$	−4.58259	+	2.05461i	−0.743393	+	0.333301i
$39$	0.257998	−	0.794036i	0.0413128	−	0.127148i
$40$	−5.55951	+	3.01527i	−0.879036	+	0.476756i
$41$	1.29216	+	3.97687i	0.201802	+	0.621083i	0.999830	+	0.0184617i	$0.00587687\pi$
$41$	1.29216	+	3.97687i	0.201802	+	0.621083i	−0.798028	+	0.602621i	$0.794123\pi$
$42$	−0.108448	−	0.119815i	−0.0167339	−	0.0184879i
$43$	2.31395	−	2.31395i	0.352875	−	0.352875i	−0.508303	−	0.861178i	$-0.669727\pi$
$43$	2.31395	−	2.31395i	0.352875	−	0.352875i	0.861178	+	0.508303i	$0.169727\pi$
$44$	−0.818115	−	0.728959i	−0.123335	−	0.109895i
$45$	0.310180	−	2.21445i	0.0462390	−	0.330111i
$46$	2.75385	+	10.1715i	0.406033	+	1.49971i
$47$	−0.528548	−	3.33712i	−0.0770966	−	0.486769i	−0.995780	−	0.0917738i	$-0.970746\pi$
$47$	−0.528548	−	3.33712i	−0.0770966	−	0.486769i	0.918683	−	0.394995i	$-0.129254\pi$
$48$	−3.13462	−	2.48478i	−0.452444	−	0.358648i
$49$		−	6.98694i		−	0.998135i
$50$	3.12213	+	6.34447i	0.441536	+	0.897244i
$51$			3.29033i			0.460738i
$52$	−1.29219	+	1.05758i	−0.179194	+	0.146660i
$53$	2.22344	+	14.0382i	0.305413	+	1.92830i	0.367050	+	0.930201i	$0.380368\pi$
$53$	2.22344	+	14.0382i	0.305413	+	1.92830i	−0.0616376	+	0.998099i	$0.519632\pi$
$54$	1.36507	−	0.369579i	0.185762	−	0.0502934i
$55$	−0.850619	+	0.881654i	−0.114697	+	0.118882i
$56$	0.0530527	+	0.318829i	0.00708946	+	0.0426054i
$57$	−2.51105	+	2.51105i	−0.332597	+	0.332597i
$58$	−8.16149	+	7.38719i	−1.07166	+	0.969985i
$59$	−1.80325	−	5.54984i	−0.234763	−	0.722528i	−0.997153	−	0.0754088i	$-0.975974\pi$
$59$	−1.80325	−	5.54984i	−0.234763	−	0.722528i	0.762389	−	0.647119i	$-0.224026\pi$
$60$	−2.91481	+	3.39173i	−0.376301	+	0.437871i
$61$	−2.07653	+	6.39089i	−0.265872	+	0.818269i	0.725619	+	0.688096i	$0.241553\pi$
$61$	−2.07653	+	6.39089i	−0.265872	+	0.818269i	−0.991491	+	0.130173i	$0.958447\pi$
$62$	1.36371	+	3.04161i	0.173191	+	0.386285i
$63$	−0.101818	−	0.0518789i	−0.0128279	−	0.00653613i
$64$	2.59064	+	7.56892i	0.323830	+	0.946115i
$65$	1.12421	+	1.49045i	0.139441	+	0.184867i
$66$	−0.724077	−	0.275787i	−0.0891277	−	0.0339471i
$67$	12.2481	+	1.93991i	1.49634	+	0.236998i	0.850298	−	0.526301i	$-0.176421\pi$
$67$	12.2481	+	1.93991i	1.49634	+	0.236998i	0.646046	+	0.763298i	$0.276421\pi$
$68$	3.55531	−	5.53758i	0.431144	−	0.671531i
$69$	4.37977	+	6.02824i	0.527262	+	0.725714i
$70$	0.358533	−	0.0451376i	0.0428529	−	0.00539498i
$71$	−9.28233	+	12.7760i	−1.10161	+	1.51624i	−0.268378	+	0.963314i	$0.586488\pi$
$71$	−9.28233	+	12.7760i	−1.10161	+	1.51624i	−0.833233	+	0.552923i	$0.813512\pi$
$72$	−2.69674	−	0.853002i	−0.317813	−	0.100527i
$73$	1.31572	−	0.670391i	0.153993	−	0.0784633i	−0.375296	−	0.926905i	$-0.622459\pi$
$73$	1.31572	−	0.670391i	0.153993	−	0.0784633i	0.529289	+	0.848442i	$0.322459\pi$
$74$	−0.496633	−	0.400030i	−0.0577324	−	0.0465025i
$75$	3.65991	+	3.40662i	0.422610	+	0.393363i
$76$	6.93934	−	1.51280i	0.795997	−	0.173530i
$77$	0.0284234	+	0.0557842i	0.00323915	+	0.00635719i
$78$	−0.587700	+	1.02407i	−0.0665439	+	0.115953i
$79$	−4.21793	−	3.06451i	−0.474554	−	0.344784i	0.324659	−	0.945831i	$-0.394750\pi$
$79$	−4.21793	−	3.06451i	−0.474554	−	0.344784i	−0.799214	+	0.601047i	$0.794750\pi$
$80$	8.57048	−	2.55870i	0.958208	−	0.286071i
$81$	0.809017	−	0.587785i	0.0898908	−	0.0653095i
$82$	−0.633441	−	5.87955i	−0.0699519	−	0.649288i
$83$	−0.973158	+	6.14428i	−0.106818	+	0.674422i	0.874932	+	0.484246i	$0.160906\pi$
$83$	−0.973158	+	6.14428i	−0.106818	+	0.674422i	−0.981750	+	0.190176i	$0.939094\pi$
$84$	0.115302	+	0.197329i	0.0125805	+	0.0215304i
$85$	−6.02877	−	4.21725i	−0.653912	−	0.457425i
$86$	−3.87472	+	2.53063i	−0.417821	+	0.272885i
$87$	−3.53385	+	6.93557i	−0.378868	+	0.743571i
$88$	0.920617	+	1.24654i	0.0981380	+	0.132881i
$89$	9.70119	+	3.15211i	1.02832	+	0.334123i	0.774127	−	0.633030i	$-0.218189\pi$
$89$	9.70119	+	3.15211i	1.02832	+	0.334123i	0.254197	+	0.967153i	$0.418189\pi$
$90$	−1.07245	+	2.97487i	−0.113047	+	0.313579i
$91$	0.0907370	−	0.0294822i	0.00951182	−	0.00309058i
$92$	−0.857397	−	14.8779i	−0.0893899	−	1.55113i
$93$	1.66666	+	1.66666i	0.172825	+	0.172825i
$94$	−0.237653	+	4.77231i	−0.0245121	+	0.492226i
$95$	−1.38248	−	7.81937i	−0.141839	−	0.802250i
$96$	3.61688	+	4.34950i	0.369146	+	0.443919i
$97$	−1.70626	+	0.270245i	−0.173244	+	0.0274392i	−0.242454	−	0.970163i	$-0.577952\pi$
$97$	−1.70626	+	0.270245i	−0.173244	+	0.0274392i	0.0692096	+	0.997602i	$0.477952\pi$
$98$	−2.02922	+	9.67042i	−0.204982	+	0.976860i
$99$	−0.547881			−0.0550641
$100$	−2.47862	−	9.68795i	−0.247862	−	0.968795i
$101$	−11.4729			−1.14160			−0.570798	−	0.821091i	$-0.693366\pi$
$101$	−11.4729			−1.14160			−0.570798	+	0.821091i	$0.693366\pi$
$102$	0.955611	−	4.55405i	0.0946196	−	0.450918i
$103$	11.2138	−	1.77608i	1.10492	−	0.175003i	0.422789	−	0.906228i	$-0.361051\pi$
$103$	11.2138	−	1.77608i	1.10492	−	0.175003i	0.682136	+	0.731225i	$0.261051\pi$
$104$	2.09563	−	1.08847i	0.205494	−	0.106733i
$105$	0.225558	−	0.120064i	0.0220122	−	0.0117171i
$106$	0.999735	−	20.0757i	0.0971028	−	1.94992i
$107$	2.58147	+	2.58147i	0.249560	+	0.249560i	0.820790	−	0.571230i	$-0.193534\pi$
$107$	2.58147	+	2.58147i	0.249560	+	0.249560i	−0.571230	+	0.820790i	$0.693534\pi$
$108$	−1.99669	+	0.115067i	−0.192131	+	0.0110723i
$109$	4.86280	−	1.58002i	0.465772	−	0.151338i	−0.0667234	−	0.997772i	$-0.521255\pi$
$109$	4.86280	−	1.58002i	0.465772	−	0.151338i	0.532495	+	0.846433i	$0.321255\pi$
$110$	1.43337	−	0.973225i	0.136667	−	0.0927934i
$111$	−0.428856	−	0.139344i	−0.0407052	−	0.0132259i
$112$	0.0191691	−	0.456690i	0.00181131	−	0.0431532i
$113$	−7.03160	+	13.8003i	−0.661477	+	1.29822i	0.279628	+	0.960108i	$0.409789\pi$
$113$	−7.03160	+	13.8003i	−0.661477	+	1.29822i	−0.941105	+	0.338114i	$0.890211\pi$
$114$	4.20475	−	2.74618i	0.393811	−	0.257204i
$115$	−16.6590	+	0.298460i	−1.55346	+	0.0278316i
$116$	13.4415	−	7.85404i	1.24802	−	0.729230i
$117$	−0.130607	+	0.824620i	−0.0120746	+	0.0762362i
$118$	0.883986	+	8.20509i	0.0813775	+	0.755339i
$119$	−0.304187	+	0.221005i	−0.0278848	+	0.0202595i
$120$	5.01937	−	3.84785i	0.458204	−	0.351259i
$121$	−8.65634	−	6.28920i	−0.786940	−	0.571745i
$122$	4.73016	−	8.24235i	0.428249	−	0.746227i
$123$	−1.89837	−	3.72577i	−0.171171	−	0.335941i
$124$	−1.00409	−	4.60586i	−0.0901701	−	0.413619i
$125$	−10.9328	+	2.33964i	−0.977859	+	0.209263i
$126$	0.125856	+	0.101375i	0.0112122	+	0.00903121i
$127$	9.45960	−	4.81991i	0.839404	−	0.427698i	0.0192321	−	0.999815i	$-0.493878\pi$
$127$	9.45960	−	4.81991i	0.839404	−	0.427698i	0.820172	+	0.572117i	$0.193878\pi$
$128$	−1.38739	−	11.2283i	−0.122629	−	0.992453i
$129$	−1.92348	+	2.64745i	−0.169353	+	0.233095i
$130$	−1.12311	−	2.38939i	−0.0985037	−	0.209563i
$131$	13.0987	+	18.0288i	1.14444	+	1.57518i	0.757178	+	0.653209i	$0.226578\pi$
$131$	13.0987	+	18.0288i	1.14444	+	1.57518i	0.387257	+	0.921972i	$0.373422\pi$
$132$	0.922077	+	0.592003i	0.0802565	+	0.0515272i
$133$	−0.400806	−	0.0634815i	−0.0347543	−	0.00550454i
$134$	−16.3888	−	6.24219i	−1.41578	−	0.539243i
$135$	0.0400547	+	2.23571i	0.00344736	+	0.192419i
$136$	−6.52908	+	6.63184i	−0.559864	+	0.568675i
$137$	−6.60920	−	3.36756i	−0.564662	−	0.287710i	0.148265	−	0.988948i	$-0.452631\pi$
$137$	−6.60920	−	3.36756i	−0.564662	−	0.287710i	−0.712927	+	0.701238i	$0.752631\pi$
$138$	−4.31113	−	9.61552i	−0.366987	−	0.818527i
$139$	−2.89675	+	8.91529i	−0.245699	+	0.756185i	0.749821	+	0.661640i	$0.230139\pi$
$139$	−2.89675	+	8.91529i	−0.245699	+	0.756185i	−0.995521	+	0.0945444i	$0.969861\pi$
$140$	−0.509344	−	0.0416553i	−0.0430475	−	0.00352051i
$141$	1.04408	+	3.21335i	0.0879275	+	0.270613i
$142$	16.5579	−	14.9871i	1.38951	−	1.25769i
$143$	0.323448	−	0.323448i	0.0270481	−	0.0270481i
$144$	3.48473	+	1.96383i	0.290395	+	0.163652i
$145$	−8.17846	−	15.3644i	−0.679184	−	1.27594i
$146$	−2.01575	+	0.545744i	−0.166824	+	0.0451661i
$147$	1.09300	+	6.90092i	0.0901490	+	0.569178i
$148$	0.571194	+	0.697906i	0.0469518	+	0.0573675i
$149$		−	20.8441i		−	1.70762i	−0.520587	−	0.853809i	$-0.674287\pi$
$149$		−	20.8441i		−	1.70762i	0.520587	−	0.853809i	$-0.325713\pi$
$150$	−4.07618	−	5.77795i	−0.332819	−	0.471768i
$151$		−	19.3780i		−	1.57696i	−0.615062	−	0.788479i	$-0.710869\pi$
$151$		−	19.3780i		−	1.57696i	0.615062	−	0.788479i	$-0.289131\pi$
$152$	−10.0439	+	0.0784231i	−0.814667	+	0.00636095i
$153$	−0.514721	−	3.24982i	−0.0416127	−	0.262732i
$154$	−0.0231386	−	0.0854642i	−0.00186456	−	0.00688690i
$155$	−5.18997	+	0.917596i	−0.416868	+	0.0737031i
$156$	1.11084	−	1.24670i	0.0889383	−	0.0998160i
$157$	−11.0581	+	11.0581i	−0.882529	+	0.882529i	−0.993791	−	0.111262i	$-0.964511\pi$
$157$	−11.0581	+	11.0581i	−0.882529	+	0.882529i	0.111262	+	0.993791i	$0.464511\pi$
$158$	4.94789	+	5.46651i	0.393633	+	0.434892i
$159$	−4.39213	−	13.5176i	−0.348318	−	1.07201i
$160$	−12.6053	+	1.05229i	−0.996534	+	0.0831907i
$161$	−0.263123	+	0.809810i	−0.0207370	+	0.0638219i
$162$	−1.29045	+	0.578573i	−0.101387	+	0.0454570i
$163$	18.5208	+	9.43684i	1.45066	+	0.739150i	0.989002	−	0.147905i	$-0.0472530\pi$
$163$	18.5208	+	9.43684i	1.45066	+	0.739150i	0.461663	+	0.887056i	$0.347253\pi$
$164$	−0.830872	+	8.32168i	−0.0648802	+	0.649814i
$165$	0.702225	−	1.00387i	0.0546682	−	0.0781508i
$166$	3.13140	−	8.22147i	0.243044	−	0.638110i
$167$	16.9741	+	2.68843i	1.31349	+	0.208037i	0.773587	−	0.633690i	$-0.218460\pi$
$167$	16.9741	+	2.68843i	1.31349	+	0.208037i	0.539905	+	0.841726i	$0.318460\pi$
$168$	−0.102275	−	0.306605i	−0.00789072	−	0.0236551i
$169$	7.23149	+	9.95329i	0.556268	+	0.765638i
$170$	7.11942	+	7.58791i	0.546035	+	0.581966i
$171$	2.08732	−	2.87295i	0.159621	−	0.219700i
$172$	6.09785	−	2.37724i	0.464957	−	0.181263i
$173$	11.8394	−	6.03246i	0.900130	−	0.458639i	0.0582491	−	0.998302i	$-0.481448\pi$
$173$	11.8394	−	6.03246i	0.900130	−	0.458639i	0.841881	+	0.539663i	$0.181448\pi$
$174$	6.90539	−	8.57298i	0.523497	−	0.649916i
$175$	−0.0691094	+	0.567171i	−0.00522418	+	0.0428741i
$176$	−0.912166	−	1.99267i	−0.0687571	−	0.150203i
$177$	2.64924	+	5.19942i	0.199129	+	0.390812i
$178$	−12.5117	−	7.18026i	−0.937789	−	0.538183i
$179$	11.9838	+	8.70672i	0.895709	+	0.650771i	0.937360	−	0.348362i	$-0.113262\pi$
$179$	11.9838	+	8.70672i	0.895709	+	0.650771i	−0.0416514	+	0.999132i	$0.513262\pi$
$180$	2.34834	−	3.80595i	0.175035	−	0.283679i
$181$	2.28163	−	1.65770i	0.169592	−	0.123216i	−0.499752	−	0.866169i	$-0.666575\pi$
$181$	2.28163	−	1.65770i	0.169592	−	0.123216i	0.669344	+	0.742953i	$0.266575\pi$
$182$	−0.134149	+	0.0144527i	−0.00994378	+	0.00107131i
$183$	1.05120	−	6.63705i	0.0777073	−	0.490625i
$184$	−3.13430	+	20.8411i	−0.231064	+	1.53643i
$185$	0.804985	−	0.607181i	0.0591836	−	0.0446408i
$186$	−1.82273	−	2.79083i	−0.133649	−	0.204634i
$187$	−0.818412	+	1.60622i	−0.0598482	+	0.117459i
$188$	1.71495	−	6.53619i	0.125076	−	0.476701i
$189$	0.108680	+	0.0353123i	0.00790532	+	0.00256859i
$190$	−0.357532	+	11.2241i	−0.0259381	+	0.814279i
$191$	0.659670	−	0.214340i	0.0477320	−	0.0155091i	−0.285054	−	0.958512i	$-0.592011\pi$
$191$	0.659670	−	0.214340i	0.0477320	−	0.0155091i	0.332786	+	0.943002i	$0.392011\pi$
$192$	−3.74279	−	7.07047i	−0.270112	−	0.510267i
$193$	0.643179	+	0.643179i	0.0462971	+	0.0462971i	0.729876	−	0.683579i	$-0.239578\pi$
$193$	0.643179	+	0.643179i	0.0462971	+	0.0462971i	−0.683579	+	0.729876i	$0.739578\pi$
$194$	2.44007	+	0.121511i	0.175187	+	0.00872401i
$195$	−1.34353	−	1.29623i	−0.0962119	−	0.0928252i
$196$	5.61716	−	12.7952i	0.401226	−	0.913942i
$197$	4.69155	−	0.743068i	0.334259	−	0.0529414i	0.0129509	−	0.999916i	$-0.495877\pi$
$197$	4.69155	−	0.743068i	0.334259	−	0.0529414i	0.321308	+	0.946975i	$0.395877\pi$
$198$	0.758305	+	0.159121i	0.0538904	+	0.0113082i
$199$	−17.8531			−1.26557			−0.632786	−	0.774327i	$-0.718089\pi$
$199$	−17.8531			−1.26557			−0.632786	+	0.774327i	$0.718089\pi$
$200$	0.616908	+	14.1287i	0.0436220	+	0.999048i
$201$	−12.4008			−0.874684
$202$	15.8793	+	3.33207i	1.11726	+	0.234444i
$203$	−0.878547	+	0.139148i	−0.0616619	+	0.00976629i
$204$	−2.64527	+	6.02558i	−0.185206	+	0.421875i
$205$	9.25978	+	1.29703i	0.646731	+	0.0905883i
$206$	−16.0365	−	0.798589i	−1.11731	−	0.0556403i
$207$	−5.26887	−	5.26887i	−0.366212	−	0.366212i
$208$	−3.21663	+	0.897886i	−0.223033	+	0.0622572i
$209$	−1.85039	+	0.601227i	−0.127994	+	0.0415878i
$210$	−0.347058	+	0.100669i	−0.0239493	+	0.00694681i
$211$	3.94777	+	1.28271i	0.271776	+	0.0883053i	0.441734	−	0.897146i	$-0.354363\pi$
$211$	3.94777	+	1.28271i	0.271776	+	0.0883053i	−0.169958	+	0.985451i	$0.554363\pi$
$212$	−7.21428	+	27.4958i	−0.495479	+	1.88842i
$213$	7.16944	−	14.0708i	0.491242	−	0.964117i
$214$	−2.82320	−	4.32267i	−0.192990	−	0.295492i
$215$	−2.38549	−	6.91761i	−0.162689	−	0.471777i
$216$	2.79697	+	0.420638i	0.190310	+	0.0286208i
$217$	−0.0421347	+	0.266028i	−0.00286029	+	0.0180592i
$218$	−7.18934	+	0.774553i	−0.486924	+	0.0524594i
$219$	−1.19465	+	0.867961i	−0.0807266	+	0.0586513i
$220$	−2.26655	+	0.930717i	−0.152810	+	0.0627489i
$221$	2.22244	+	1.61470i	0.149498	+	0.108617i
$222$	0.553097	+	0.317414i	0.0371214	+	0.0213034i
$223$	−5.03433	−	9.88043i	−0.337124	−	0.661643i	0.658753	−	0.752359i	$-0.271084\pi$
$223$	−5.03433	−	9.88043i	−0.337124	−	0.661643i	−0.995877	+	0.0907167i	$0.971084\pi$
$224$	−0.159168	+	0.626524i	−0.0106349	+	0.0418614i
$225$	−4.14776	−	2.79214i	−0.276517	−	0.186143i
$226$	13.7402	−	17.0584i	0.913988	−	1.13471i
$227$	−7.98815	+	4.07017i	−0.530192	+	0.270147i	−0.698527	−	0.715583i	$-0.746161\pi$
$227$	−7.98815	+	4.07017i	−0.530192	+	0.270147i	0.168335	+	0.985730i	$0.446161\pi$
$228$	−6.61725	+	2.57972i	−0.438238	+	0.170846i
$229$	−11.2030	+	15.4196i	−0.740315	+	1.01896i	0.258286	+	0.966069i	$0.416842\pi$
$229$	−11.2030	+	15.4196i	−0.740315	+	1.01896i	−0.998600	+	0.0528873i	$0.983158\pi$
$230$	23.1439	+	4.42518i	1.52606	+	0.291788i
$231$	−0.0368001	−	0.0506510i	−0.00242127	−	0.00333259i
$232$	−20.8851	+	6.96672i	−1.37117	+	0.457388i
$233$	20.2185	+	3.20229i	1.32456	+	0.209789i	0.778333	−	0.627851i	$-0.216065\pi$
$233$	20.2185	+	3.20229i	1.32456	+	0.209789i	0.546222	+	0.837640i	$0.316065\pi$
$234$	0.420264	−	1.10340i	0.0274735	−	0.0721315i
$235$	−7.22594	−	2.20555i	−0.471368	−	0.143874i
$236$	1.15951	−	11.6132i	0.0754775	−	0.755952i
$237$	4.64540	+	2.36695i	0.301751	+	0.153750i
$238$	0.485203	−	0.217541i	0.0314510	−	0.0141011i
$239$	−1.41153	+	4.34425i	−0.0913044	+	0.281006i	−0.986273	−	0.165123i	$-0.947198\pi$
$239$	−1.41153	+	4.34425i	−0.0913044	+	0.281006i	0.894969	+	0.446129i	$0.147198\pi$
$240$	−8.06469	+	3.86791i	−0.520574	+	0.249673i
$241$	−5.60469	−	17.2495i	−0.361030	−	1.11113i	−0.952430	−	0.304757i	$-0.901425\pi$
$241$	−5.60469	−	17.2495i	−0.361030	−	1.11113i	0.591401	−	0.806378i	$-0.298575\pi$
$242$	10.1544	+	11.2188i	0.652750	+	0.721169i
$243$	−0.707107	+	0.707107i	−0.0453609	+	0.0453609i
$244$	−8.94071	+	10.0342i	−0.572370	+	0.642374i
$245$	−14.0453	−	6.84232i	−0.897319	−	0.437140i
$246$	1.54541	+	5.70807i	0.0985315	+	0.363933i
$247$	0.463807	+	2.92836i	0.0295113	+	0.186327i
$248$	0.0520519	+	6.66646i	0.00330530	+	0.423320i
$249$		−	6.22086i		−	0.394231i
$250$	15.8113	−	0.0630033i	0.999992	−	0.00398468i
$251$			16.9015i			1.06681i	0.845859	+	0.533406i	$0.179088\pi$
$251$			16.9015i			1.06681i	−0.845859	+	0.533406i	$0.820912\pi$
$252$	−0.144751	−	0.176863i	−0.00911848	−	0.0111413i
$253$	0.638632	+	4.03217i	0.0401505	+	0.253500i
$254$	−14.4926	+	3.92374i	−0.909346	+	0.246197i
$255$	6.61427	+	3.22222i	0.414202	+	0.201784i
$256$	−1.34081	+	15.9437i	−0.0838004	+	0.996483i
$257$	−13.4787	+	13.4787i	−0.840776	+	0.840776i	−0.988960	−	0.148184i	$-0.952657\pi$
$257$	−13.4787	+	13.4787i	−0.840776	+	0.840776i	0.148184	+	0.988960i	$0.452657\pi$
$258$	3.43113	−	3.10562i	0.213613	−	0.193347i
$259$	−0.0159232	−	0.0490067i	−0.000989421	−	0.00304513i
$260$	0.860518	+	3.63327i	0.0533671	+	0.225326i
$261$	2.40538	−	7.40300i	0.148889	−	0.458234i
$262$	−12.8934	−	28.7573i	−0.796555	−	1.77663i
$263$	−12.5493	−	6.39419i	−0.773823	−	0.394283i	0.0220417	−	0.999757i	$-0.492983\pi$
$263$	−12.5493	−	6.39419i	−0.773823	−	0.394283i	−0.795865	+	0.605475i	$0.792983\pi$
$264$	−1.10428	−	1.08717i	−0.0679639	−	0.0669108i
$265$	30.3973	+	9.27808i	1.86729	+	0.569948i
$266$	0.536307	+	0.204269i	0.0328831	+	0.0125245i
$267$	−10.0749	−	1.59570i	−0.616571	−	0.0976552i
$268$	20.8704	+	13.3994i	1.27486	+	0.818501i
$269$	5.30034	+	7.29529i	0.323167	+	0.444802i	0.939431	−	0.342738i	$-0.111354\pi$
$269$	5.30034	+	7.29529i	0.323167	+	0.444802i	−0.616264	+	0.787540i	$0.711354\pi$
$270$	0.593879	−	3.10601i	0.0361423	−	0.189026i
$271$	6.50668	−	8.95567i	0.395253	−	0.544018i	−0.564292	−	0.825575i	$-0.690851\pi$
$271$	6.50668	−	8.95567i	0.395253	−	0.544018i	0.959545	+	0.281557i	$0.0908508\pi$
$272$	10.9628	−	7.28269i	0.664717	−	0.441578i
$273$	−0.0850078	+	0.0433137i	−0.00514491	+	0.00262146i
$274$	8.16956	+	6.58045i	0.493541	+	0.397540i
$275$	0.939302	+	2.57333i	0.0566421	+	0.155178i
$276$	3.17426	+	14.5606i	0.191068	+	0.876447i
$277$	12.5869	+	24.7032i	0.756274	+	1.48427i	0.871217	+	0.490899i	$0.163332\pi$
$277$	12.5869	+	24.7032i	0.756274	+	1.48427i	−0.114943	+	0.993372i	$0.536668\pi$
$278$	6.59858	−	11.4981i	0.395756	−	0.689609i
$279$	−1.90687	−	1.38542i	−0.114161	−	0.0829430i
$280$	0.692870	+	0.205583i	0.0414069	+	0.0122859i
$281$	7.95866	−	5.78231i	0.474774	−	0.344943i	−0.324525	−	0.945877i	$-0.605204\pi$
$281$	7.95866	−	5.78231i	0.474774	−	0.344943i	0.799299	+	0.600934i	$0.205204\pi$
$282$	−0.511827	−	4.75073i	−0.0304788	−	0.282902i
$283$	−2.38077	+	15.0316i	−0.141522	+	0.893535i	0.810106	+	0.586283i	$0.199409\pi$
$283$	−2.38077	+	15.0316i	−0.141522	+	0.893535i	−0.951628	+	0.307252i	$0.900591\pi$
$284$	−27.2701	+	15.9342i	−1.61818	+	0.945521i
$285$	2.58868	+	7.50683i	0.153340	+	0.444666i
$286$	−0.541615	+	0.353736i	−0.0320263	+	0.0209169i
$287$	0.216933	−	0.425755i	0.0128052	−	0.0251315i
$288$	−4.25276	−	3.73015i	−0.250596	−	0.219801i
$289$	5.87157	+	1.90779i	0.345387	+	0.112223i
$290$	6.85729	+	23.6406i	0.402674	+	1.38823i
$291$	1.64297	−	0.533835i	0.0963129	−	0.0312940i
$292$	2.94843	−	0.169915i	0.172544	−	0.00994350i
$293$	−18.5529	−	18.5529i	−1.08387	−	1.08387i	−0.996145	−	0.0877260i	$-0.972040\pi$
$293$	−18.5529	−	18.5529i	−1.08387	−	1.08387i	−0.0877260	−	0.996145i	$-0.527960\pi$
$294$	0.491450	−	9.86880i	0.0286619	−	0.575560i
$295$	−12.9223	−	1.81004i	−0.752366	−	0.105385i
$296$	−0.587879	−	1.13184i	−0.0341698	−	0.0657870i
$297$	0.541135	−	0.0857074i	0.0313999	−	0.00497325i
$298$	−6.05377	+	28.8497i	−0.350685	+	1.67122i
$299$	6.22109			0.359775
$300$	3.96363	+	9.18094i	0.228840	+	0.530062i
$301$	−0.373950			−0.0215541
$302$	−5.62795	+	26.8205i	−0.323852	+	1.54335i
$303$	11.3316	−	1.79476i	0.650986	−	0.103106i
$304$	13.9242	+	2.80851i	0.798609	+	0.161079i
$305$	10.8135	+	10.4329i	0.619180	+	0.597384i
$306$	−0.231436	+	4.64747i	−0.0132303	+	0.265678i
$307$	−7.59845	−	7.59845i	−0.433667	−	0.433667i	0.456207	−	0.889874i	$-0.349208\pi$
$307$	−7.59845	−	7.59845i	−0.433667	−	0.433667i	−0.889874	+	0.456207i	$0.849208\pi$
$308$	0.00720410	+	0.125009i	0.000410492	+	0.00712303i
$309$	−10.7979	+	3.50844i	−0.614269	+	0.199588i
$310$	7.44977	+	0.237305i	0.423119	+	0.0134780i
$311$	−18.8976	−	6.14019i	−1.07158	−	0.348178i	−0.280479	−	0.959860i	$-0.590493\pi$
$311$	−18.8976	−	6.14019i	−1.07158	−	0.348178i	−0.791104	+	0.611682i	$0.790493\pi$
$312$	−1.89956	+	1.40290i	−0.107541	+	0.0794236i
$313$	−1.19984	+	2.35482i	−0.0678190	+	0.133102i	−0.922427	−	0.386171i	$-0.873797\pi$
$313$	−1.19984	+	2.35482i	−0.0678190	+	0.133102i	0.854608	+	0.519273i	$0.173797\pi$
$314$	18.5167	−	12.0935i	1.04496	−	0.682477i
$315$	−0.203998	+	0.153871i	−0.0114940	+	0.00866966i
$316$	−5.26058	−	9.00305i	−0.295931	−	0.506461i
$317$	2.11922	−	13.3802i	0.119027	−	0.751508i	−0.853907	−	0.520426i	$-0.825773\pi$
$317$	2.11922	−	13.3802i	0.119027	−	0.751508i	0.972934	−	0.231082i	$-0.0742267\pi$
$318$	2.15310	+	19.9849i	0.120740	+	1.12070i
$319$	−3.45020	+	2.50672i	−0.193174	+	0.140349i
$320$	17.7522	+	2.20451i	0.992377	+	0.123236i
$321$	−2.95352	−	2.14586i	−0.164849	−	0.119770i
$322$	0.599374	−	1.04441i	0.0334018	−	0.0582029i
$323$	−5.30465	−	10.4110i	−0.295158	−	0.579281i
$324$	1.95410	−	0.426001i	0.108561	−	0.0236667i
$325$	4.09706	−	0.800307i	0.227264	−	0.0443930i
$326$	−22.8934	−	18.4403i	−1.26795	−	1.02131i
$327$	−4.55576	+	2.32128i	−0.251934	+	0.128367i
$328$	3.56685	−	11.2765i	0.196947	−	0.622639i
$329$	−0.226942	+	0.312359i	−0.0125117	+	0.0172209i
$330$	−1.26348	+	1.18547i	−0.0695524	+	0.0652581i
$331$	1.74817	+	2.40616i	0.0960883	+	0.132254i	0.854354	−	0.519691i	$-0.173953\pi$
$331$	1.74817	+	2.40616i	0.0960883	+	0.132254i	−0.758266	+	0.651946i	$0.773953\pi$
$332$	−6.72185	+	10.4696i	−0.368909	+	0.574596i
$333$	0.445374	+	0.0705403i	0.0244063	+	0.00386558i
$334$	−22.7125	−	8.65075i	−1.24277	−	0.473348i
$335$	15.8942	−	22.7216i	0.868395	−	1.24141i
$336$	0.0525090	+	0.454066i	0.00286460	+	0.0247714i
$337$	7.68126	+	3.91380i	0.418425	+	0.213198i	0.650511	−	0.759497i	$-0.274555\pi$
$337$	7.68126	+	3.91380i	0.418425	+	0.213198i	−0.232086	+	0.972695i	$0.574555\pi$
$338$	−7.11815	−	15.8763i	−0.387176	−	0.863557i
$339$	4.78619	−	14.7304i	0.259950	−	0.800044i
$340$	−7.65002	−	12.5699i	−0.414881	−	0.681699i
$341$	0.399054	+	1.22816i	0.0216100	+	0.0665087i
$342$	−3.72339	+	3.37014i	−0.201338	+	0.182236i
$343$	−1.13019	+	1.13019i	−0.0610246	+	0.0610246i
$344$	−9.13028	+	1.51926i	−0.492272	+	0.0819131i
$345$	16.4072	−	2.90082i	0.883332	−	0.156175i
$346$	−18.1385	+	4.91084i	−0.975133	+	0.264008i
$347$	−4.55737	−	28.7741i	−0.244653	−	1.54468i	−0.737974	−	0.674829i	$-0.764217\pi$
$347$	−4.55737	−	28.7741i	−0.244653	−	1.54468i	0.493321	−	0.869847i	$-0.335783\pi$
$348$	−12.0474	+	9.86007i	−0.645809	+	0.528555i
$349$		−	24.7013i		−	1.32223i	−0.750284	−	0.661115i	$-0.770083\pi$
$349$		−	24.7013i		−	1.32223i	0.750284	−	0.661115i	$-0.229917\pi$
$350$	0.260376	−	0.764932i	0.0139177	−	0.0408874i
$351$		−	0.834899i		−	0.0445636i
$352$	0.683771	+	3.02291i	0.0364451	+	0.161122i
$353$	0.908260	+	5.73453i	0.0483418	+	0.305218i	0.999998	−	0.00194675i	$-0.000619670\pi$
$353$	0.908260	+	5.73453i	0.0483418	+	0.305218i	−0.951656	+	0.307165i	$0.900620\pi$
$354$	−2.15666	−	7.96578i	−0.114625	−	0.423377i
$355$	16.5924	+	31.1711i	0.880632	+	1.65439i
$356$	15.2317	+	13.5717i	0.807276	+	0.719301i
$357$	0.265869	−	0.265869i	0.0140713	−	0.0140713i
$358$	−14.0577	−	15.5312i	−0.742971	−	0.820847i
$359$	−4.60845	−	14.1833i	−0.243225	−	0.748568i	−0.995923	−	0.0902033i	$-0.971248\pi$
$359$	−4.60845	−	14.1833i	−0.243225	−	0.748568i	0.752699	−	0.658365i	$-0.228752\pi$
$360$	−4.35564	+	4.58568i	−0.229562	+	0.241686i
$361$	−1.97439	+	6.07654i	−0.103915	+	0.319818i
$362$	−3.63938	+	1.63172i	−0.191282	+	0.0857613i
$363$	9.53362	+	4.85762i	0.500385	+	0.254959i
$364$	0.189869	+	0.0189573i	0.00995184	+	0.000993635i
$365$	−0.0591473	−	3.30139i	−0.00309591	−	0.172803i
$366$	−3.38254	+	8.88083i	−0.176808	+	0.464209i
$367$	−19.7109	−	3.12190i	−1.02890	−	0.162962i	−0.380912	−	0.924611i	$-0.624390\pi$
$367$	−19.7109	−	3.12190i	−1.02890	−	0.162962i	−0.647989	+	0.761649i	$0.724390\pi$
$368$	10.3910	−	27.9353i	0.541668	−	1.45623i
$369$	2.45784	+	3.38293i	0.127950	+	0.176108i
$370$	−1.29050	+	0.606589i	−0.0670898	+	0.0315351i
$371$	0.954674	−	1.31400i	0.0495642	−	0.0682193i
$372$	1.71225	+	4.39208i	0.0887758	+	0.227719i
$373$	30.1435	−	15.3589i	1.56077	−	0.795253i	0.561296	−	0.827615i	$-0.310303\pi$
$373$	30.1435	−	15.3589i	1.56077	−	0.795253i	0.999476	+	0.0323617i	$0.0103029\pi$
$374$	1.59924	−	1.98543i	0.0826945	−	0.102664i
$375$	10.4322	−	4.02110i	0.538716	−	0.207649i
$376$	−4.27192	+	8.54848i	−0.220308	+	0.440854i
$377$	2.95041	+	5.79050i	0.151954	+	0.298226i
$378$	−0.140165	−	0.0804388i	−0.00720932	−	0.00413732i
$379$	−11.0434	−	8.02353i	−0.567264	−	0.412141i	0.266846	−	0.963739i	$-0.414018\pi$
$379$	−11.0434	−	8.02353i	−0.567264	−	0.412141i	−0.834110	+	0.551598i	$0.814018\pi$
$380$	3.75466	−	15.4311i	0.192610	−	0.791596i
$381$	−8.58914	+	6.24037i	−0.440035	+	0.319704i
$382$	−0.975280	+	0.105073i	−0.0498997	+	0.00537601i
$383$	3.32987	−	21.0240i	0.170148	−	1.07427i	−0.743788	−	0.668416i	$-0.766973\pi$
$383$	3.32987	−	21.0240i	0.170148	−	1.07427i	0.913936	−	0.405858i	$-0.133027\pi$
$384$	3.12680	+	10.8730i	0.159564	+	0.554863i
$385$	0.139973	−	0.00250775i	0.00713370	−	0.000127807i
$386$	−0.703407	−	1.07700i	−0.0358025	−	0.0548181i
$387$	1.48565	−	2.91575i	0.0755198	−	0.148216i
$388$	−3.34193	−	0.876850i	−0.169661	−	0.0445153i
$389$	−5.57557	−	1.81161i	−0.282693	−	0.0918524i	0.164239	−	0.986421i	$-0.447483\pi$
$389$	−5.57557	−	1.81161i	−0.282693	−	0.0918524i	−0.446932	+	0.894568i	$0.647483\pi$
$390$	1.48307	+	2.18428i	0.0750982	+	0.110605i
$391$	−23.3173	+	7.57625i	−1.17921	+	0.383147i
$392$	−11.4907	+	16.0780i	−0.580366	+	0.812064i
$393$	−15.7577	−	15.7577i	−0.794872	−	0.794872i
$394$	−6.70924	−	0.334109i	−0.338007	−	0.0168322i
$395$	−10.2909	+	5.47788i	−0.517794	+	0.275622i
$396$	−1.00333	−	0.440470i	−0.0504194	−	0.0221344i
$397$	8.40000	−	1.33043i	0.421584	−	0.0667723i	0.0579615	−	0.998319i	$-0.481540\pi$
$397$	8.40000	−	1.33043i	0.421584	−	0.0667723i	0.363622	+	0.931547i	$0.381540\pi$
$398$	24.7099	+	5.18508i	1.23860	+	0.259905i
$399$	0.405802			0.0203155
$400$	3.24955	−	19.7342i	0.162478	−	0.986712i
$401$	20.6802			1.03272			0.516360	−	0.856372i	$-0.327287\pi$
$401$	20.6802			1.03272			0.516360	+	0.856372i	$0.327287\pi$
$402$	17.1636	+	3.60156i	0.856040	+	0.179630i
$403$	1.94365	−	0.307843i	0.0968199	−	0.0153348i
$404$	−21.0103	−	9.22365i	−1.04530	−	0.458894i
$405$	−0.389304	−	2.20192i	−0.0193446	−	0.109414i
$406$	1.25638	+	0.0625659i	0.0623533	+	0.00310509i
$407$	−0.174693	−	0.174693i	−0.00865921	−	0.00865921i
$408$	5.41124	−	7.57156i	0.267897	−	0.374848i
$409$	−24.9795	+	8.11632i	−1.23515	+	0.401326i	−0.852579	−	0.522598i	$-0.824963\pi$
$409$	−24.9795	+	8.11632i	−1.23515	+	0.401326i	−0.382575	+	0.923924i	$0.624963\pi$
$410$	−12.4395	−	4.48450i	−0.614343	−	0.221474i
$411$	7.05464	+	2.29219i	0.347980	+	0.113065i
$412$	21.9636	+	5.76278i	1.08207	+	0.283912i
$413$	−0.302737	+	0.594154i	−0.0148967	+	0.0292364i
$414$	5.76225	+	8.82273i	0.283199	+	0.433613i
$415$	11.3983	+	7.97336i	0.559521	+	0.391397i
$416$	4.71282	−	0.308531i	0.231065	−	0.0151270i
$417$	1.46643	−	9.25868i	0.0718114	−	0.453399i
$418$	2.73568	−	0.294732i	0.133807	−	0.0144158i
$419$	27.5322	−	20.0033i	1.34504	−	0.977227i	0.345795	−	0.938310i	$-0.387609\pi$
$419$	27.5322	−	20.0033i	1.34504	−	0.977227i	0.999242	−	0.0389168i	$-0.0123907\pi$
$420$	0.509590	−	0.0385366i	0.0248654	−	0.00188039i
$421$	−3.66642	−	2.66381i	−0.178690	−	0.129826i	0.494845	−	0.868981i	$-0.335225\pi$
$421$	−3.66642	−	2.66381i	−0.178690	−	0.129826i	−0.673535	+	0.739155i	$0.735225\pi$
$422$	−5.09146	−	2.92191i	−0.247848	−	0.142236i
$423$	−1.53390	−	3.01046i	−0.0745810	−	0.146373i
$424$	17.9707	−	35.9608i	0.872733	−	1.74641i
$425$	−14.3816	+	7.98917i	−0.697609	+	0.387532i
$426$	−14.0096	+	17.3928i	−0.678767	+	0.842683i
$427$	0.684195	−	0.348615i	0.0331105	−	0.0168706i
$428$	2.65207	+	6.80282i	0.128193	+	0.328827i
$429$	−0.268868	+	0.370065i	−0.0129811	+	0.0178669i
$430$	1.29260	+	10.2673i	0.0623347	+	0.495132i
$431$	6.87989	+	9.46936i	0.331393	+	0.456123i	0.941903	−	0.335885i	$-0.109036\pi$
$431$	6.87989	+	9.46936i	0.331393	+	0.456123i	−0.610510	+	0.792009i	$0.709036\pi$
$432$	−3.74904	−	1.39452i	−0.180376	−	0.0670938i
$433$	−16.1360	−	2.55570i	−0.775448	−	0.122819i	−0.243847	−	0.969814i	$-0.578409\pi$
$433$	−16.1360	−	2.55570i	−0.775448	−	0.122819i	−0.531601	+	0.846995i	$0.678409\pi$
$434$	0.135580	−	0.355964i	0.00650805	−	0.0170868i
$435$	10.4813	+	13.8958i	0.502539	+	0.666253i
$436$	10.1755	+	1.01597i	0.487318	+	0.0486560i
$437$	−23.5767	−	12.0130i	−1.12783	−	0.574657i
$438$	1.90555	−	0.854357i	0.0910509	−	0.0408228i
$439$	−7.35130	+	22.6250i	−0.350858	+	1.07983i	0.607514	+	0.794309i	$0.292167\pi$
$439$	−7.35130	+	22.6250i	−0.350858	+	1.07983i	−0.958372	+	0.285522i	$0.907833\pi$
$440$	3.40737	−	0.629904i	0.162440	−	0.0300295i
$441$	−2.15908	−	6.64498i	−0.102814	−	0.316427i
$442$	−2.60706	−	2.88032i	−0.124005	−	0.137003i
$443$	−28.7205	+	28.7205i	−1.36455	+	1.36455i	−0.496536	+	0.868016i	$0.665395\pi$
$443$	−28.7205	+	28.7205i	−1.36455	+	1.36455i	−0.868016	+	0.496536i	$0.834605\pi$
$444$	−0.673338	−	0.599959i	−0.0319552	−	0.0284728i
$445$	15.8368	−	16.4146i	0.750737	−	0.778128i
$446$	4.09829	+	15.1373i	0.194060	+	0.716773i
$447$	3.26074	+	20.5875i	0.154228	+	0.973755i
$448$	0.402261	−	0.820926i	0.0190051	−	0.0387851i
$449$		−	16.4871i		−	0.778074i	−0.921222	−	0.389037i	$-0.872808\pi$
$449$		−	16.4871i		−	0.778074i	0.921222	−	0.389037i	$-0.127192\pi$
$450$	4.92987	+	5.06916i	0.232396	+	0.238962i
$451$		−	2.29098i		−	0.107878i
$452$	−23.9717	+	19.6194i	−1.12754	+	0.922819i
$453$	3.03139	+	19.1394i	0.142427	+	0.899248i
$454$	12.2383	−	3.31340i	0.574370	−	0.155505i
$455$	0.0295932	−	0.211273i	0.00138735	−	0.00990463i
$456$	9.90797	−	1.64867i	0.463983	−	0.0772060i
$457$	12.2230	−	12.2230i	0.571769	−	0.571769i	−0.360853	−	0.932623i	$-0.617514\pi$
$457$	12.2230	−	12.2230i	0.571769	−	0.571769i	0.932623	+	0.360853i	$0.117514\pi$
$458$	19.9841	−	18.0881i	0.933793	−	0.845202i
$459$	1.01677	+	3.12929i	0.0474586	+	0.146063i
$460$	−30.7475	−	12.8464i	−1.43361	−	0.598968i
$461$	7.32565	−	22.5460i	0.341189	−	1.05007i	−0.622403	−	0.782697i	$-0.713843\pi$
$461$	7.32565	−	22.5460i	0.341189	−	1.05007i	0.963592	−	0.267376i	$-0.0861566\pi$
$462$	0.0362233	+	0.0807923i	0.00168526	+	0.00375880i
$463$	17.2393	+	8.78385i	0.801178	+	0.408220i	0.806109	−	0.591767i	$-0.201570\pi$
$463$	17.2393	+	8.78385i	0.801178	+	0.408220i	−0.00493114	+	0.999988i	$0.501570\pi$
$464$	30.9298	−	3.57677i	1.43588	−	0.166047i
$465$	4.98252	−	1.71819i	0.231059	−	0.0796791i
$466$	−27.0537	−	10.3042i	−1.25324	−	0.477335i
$467$	25.3795	+	4.01972i	1.17442	+	0.186011i	0.712997	−	0.701167i	$-0.247337\pi$
$467$	25.3795	+	4.01972i	1.17442	+	0.186011i	0.461428	+	0.887178i	$0.347337\pi$
$468$	−0.902136	+	1.40513i	−0.0417012	+	0.0649520i
$469$	−0.832936	−	1.14644i	−0.0384614	−	0.0529376i
$470$	9.36064	+	5.15127i	0.431774	+	0.237610i
$471$	9.19205	−	12.6518i	0.423547	−	0.582963i
$472$	−4.97765	+	15.7367i	−0.229115	+	0.724338i
$473$	−1.59748	+	0.813959i	−0.0734524	+	0.0374259i
$474$	−5.74212	−	4.62519i	−0.263744	−	0.212442i
$475$	−17.0725	−	4.87844i	−0.783339	−	0.223838i
$476$	−0.734736	+	0.160175i	−0.0336765	+	0.00734159i
$477$	6.45267	+	12.6641i	0.295447	+	0.579848i
$478$	3.21536	−	5.60279i	0.147067	−	0.256266i
$479$	27.4905	+	19.9730i	1.25607	+	0.912590i	0.998558	−	0.0536842i	$-0.0170964\pi$
$479$	27.4905	+	19.9730i	1.25607	+	0.912590i	0.257515	+	0.966274i	$0.417096\pi$
$480$	12.2855	−	3.01123i	0.560752	−	0.137443i
$481$	−0.304577	+	0.221288i	−0.0138875	+	0.0100899i
$482$	2.74752	+	25.5022i	0.125146	+	1.16159i
$483$	0.133201	−	0.841001i	0.00606088	−	0.0382669i
$484$	−10.7961	−	18.4767i	−0.490734	−	0.839850i
$485$	−1.12769	+	3.69460i	−0.0512058	+	0.167763i
$486$	1.18405	−	0.773320i	0.0537096	−	0.0350785i
$487$	−12.2987	+	24.1375i	−0.557307	+	1.09378i	0.424771	+	0.905301i	$0.360355\pi$
$487$	−12.2987	+	24.1375i	−0.557307	+	1.09378i	−0.982078	+	0.188475i	$0.939645\pi$
$488$	15.2888	−	11.2914i	0.692092	−	0.511138i
$489$	−19.7691	−	6.42336i	−0.893988	−	0.290474i
$490$	17.4524	+	13.5494i	0.788419	+	0.612101i
$491$	1.87731	−	0.609975i	0.0847218	−	0.0275278i	−0.266349	−	0.963877i	$-0.585818\pi$
$491$	1.87731	−	0.609975i	0.0847218	−	0.0275278i	0.351071	+	0.936349i	$0.385818\pi$
$492$	−0.481154	−	8.34920i	−0.0216921	−	0.376411i
$493$	−18.1103	−	18.1103i	−0.815647	−	0.815647i
$494$	0.208543	−	4.18776i	0.00938282	−	0.188416i
$495$	−0.536540	+	1.10136i	−0.0241157	+	0.0495024i
$496$	1.86410	−	9.24196i	0.0837004	−	0.414976i
$497$	1.78239	−	0.282303i	0.0799511	−	0.0126630i
$498$	−1.80673	+	8.61011i	−0.0809614	+	0.385828i
$499$	15.8221			0.708297			0.354148	−	0.935189i	$-0.384771\pi$
$499$	15.8221			0.708297			0.354148	+	0.935189i	$0.384771\pi$
$500$	−21.9022	−	4.50487i	−0.979496	−	0.201464i
$501$	−17.1856			−0.767798
$502$	4.90870	−	23.3928i	0.219086	−	1.04407i
$503$	−16.5176	+	2.61613i	−0.736482	+	0.116647i	−0.513397	−	0.858151i	$-0.671613\pi$
$503$	−16.5176	+	2.61613i	−0.736482	+	0.116647i	−0.223086	+	0.974799i	$0.571613\pi$
$504$	0.148980	+	0.286831i	0.00663609	+	0.0127764i
$505$	−11.2354	+	23.0630i	−0.499970	+	1.02629i
$506$	0.287151	−	5.76628i	0.0127654	−	0.256342i
$507$	−8.69949	−	8.69949i	−0.386358	−	0.386358i
$508$	21.1983	−	1.22164i	0.940524	−	0.0542013i
$509$	−18.6546	+	6.06124i	−0.826850	+	0.268660i	−0.691718	−	0.722168i	$-0.743146\pi$
$509$	−18.6546	+	6.06124i	−0.826850	+	0.268660i	−0.135132	+	0.990828i	$0.543146\pi$
$510$	−8.21878	−	6.38077i	−0.363934	−	0.282545i
$511$	−0.160484	−	0.0521444i	−0.00709939	−	0.00230673i
$512$	6.48631	−	21.6778i	0.286657	−	0.958033i
$513$	−1.61219	+	3.16411i	−0.0711801	+	0.139699i
$514$	22.5700	−	14.7408i	0.995522	−	0.650189i
$515$	7.41134	−	24.2814i	0.326583	−	1.06997i
$516$	−5.65090	+	3.30188i	−0.248767	+	0.145357i
$517$	−0.289581	+	1.82834i	−0.0127358	+	0.0804104i
$518$	0.00780585	+	0.0724533i	0.000342969	+	0.00318341i
$519$	−10.7499	+	7.81027i	−0.471869	+	0.342833i
$520$	−0.135806	−	5.27862i	−0.00595548	−	0.231483i
$521$	18.9520	+	13.7694i	0.830303	+	0.603250i	0.919645	−	0.392751i	$-0.128476\pi$
$521$	18.9520	+	13.7694i	0.830303	+	0.603250i	−0.0893421	+	0.996001i	$0.528476\pi$
$522$	−5.47927	+	9.54767i	−0.239821	+	0.417890i
$523$	0.561777	+	1.10255i	0.0245648	+	0.0482111i	0.902963	−	0.429719i	$-0.141387\pi$
$523$	0.561777	+	1.10255i	0.0245648	+	0.0482111i	−0.878398	+	0.477930i	$0.841387\pi$
$524$	9.49333	+	43.5468i	0.414718	+	1.90235i
$525$	−0.0204665	−	0.570999i	−0.000893231	−	0.0249204i
$526$	15.5120	+	12.4947i	0.676357	+	0.544795i
$527$	−6.91009	+	3.52086i	−0.301008	+	0.153371i
$528$	1.21266	+	1.82544i	0.0527742	+	0.0794421i
$529$	−19.1160	+	26.3109i	−0.831129	+	1.14395i
$530$	−39.3774	−	21.6698i	−1.71044	−	0.941276i
$531$	−3.42999	−	4.72098i	−0.148849	−	0.204873i
$532$	−0.682960	−	0.438482i	−0.0296101	−	0.0190106i
$533$	−3.44817	−	0.546137i	−0.149357	−	0.0236558i
$534$	13.4809	+	5.13460i	0.583374	+	0.222196i
$535$	7.71735	−	2.66127i	0.333650	−	0.115057i
$536$	−24.9945	−	24.6072i	−1.07960	−	1.06287i
$537$	−13.1983	−	6.72485i	−0.569547	−	0.290199i
$538$	−5.21727	−	11.6366i	−0.224932	−	0.501688i
$539$	−1.18292	+	3.64065i	−0.0509520	+	0.156814i
$540$	−1.72405	+	4.12646i	−0.0741913	+	0.177574i
$541$	5.99846	+	18.4614i	0.257894	+	0.793716i	0.993246	+	0.116030i	$0.0370170\pi$
$541$	5.99846	+	18.4614i	0.257894	+	0.793716i	−0.735352	+	0.677686i	$0.762983\pi$
$542$	−11.6067	+	10.5055i	−0.498550	+	0.451252i
$543$	−1.99422	+	1.99422i	−0.0855800	+	0.0855800i
$544$	−17.2884	+	6.89582i	−0.741233	+	0.295656i
$545$	1.58597	−	11.3226i	0.0679354	−	0.485007i
$546$	0.130236	−	0.0352603i	0.00557360	−	0.00150900i
$547$	0.958973	+	6.05472i	0.0410027	+	0.258881i	0.999671	−	0.0256447i	$-0.00816387\pi$
$547$	0.958973	+	6.05472i	0.0410027	+	0.258881i	−0.958668	+	0.284526i	$0.908164\pi$
$548$	−9.39609	−	11.4805i	−0.401381	−	0.490422i
$549$			6.71978i			0.286793i
$550$	−0.552687	−	3.83447i	−0.0235666	−	0.163503i
$551$		−	27.6421i		−	1.17759i
$552$	−0.164553	−	21.0748i	−0.00700385	−	0.897005i
$553$	0.0932005	+	0.588445i	0.00396329	+	0.0250232i
$554$	−10.2466	−	37.8466i	−0.435337	−	1.60795i
$555$	−0.700090	+	0.725633i	−0.0297172	+	0.0308014i
$556$	−12.4723	+	13.9977i	−0.528943	+	0.593636i
$557$	−4.22564	+	4.22564i	−0.179046	+	0.179046i	−0.790940	−	0.611894i	$-0.790408\pi$
$557$	−4.22564	+	4.22564i	−0.179046	+	0.179046i	0.611894	+	0.790940i	$0.290408\pi$
$558$	2.23687	+	2.47133i	0.0946944	+	0.104620i
$559$	0.844279	+	2.59842i	0.0357092	+	0.109902i
$560$	−0.899274	−	0.485772i	−0.0380013	−	0.0205276i
$561$	0.557067	−	1.71448i	0.0235194	−	0.0723852i
$562$	−12.6947	+	5.69168i	−0.535494	+	0.240089i
$563$	−7.19657	−	3.66683i	−0.303299	−	0.154539i	0.295717	−	0.955276i	$-0.404441\pi$
$563$	−7.19657	−	3.66683i	−0.303299	−	0.154539i	−0.599016	+	0.800737i	$0.704441\pi$
$564$	−0.671353	+	6.72400i	−0.0282691	+	0.283131i
$565$	20.8555	+	27.6497i	0.877398	+	1.16323i
$566$	7.66078	−	20.1133i	0.322006	−	0.845426i
$567$	−0.112866	−	0.0178763i	−0.00473994	−	0.000750732i
$568$	42.3715	−	14.1340i	1.77787	−	0.593050i
$569$	20.6135	+	28.3720i	0.864161	+	1.18942i	0.980561	+	0.196214i	$0.0628646\pi$
$569$	20.6135	+	28.3720i	0.864161	+	1.18942i	−0.116400	+	0.993202i	$0.537135\pi$
$570$	−1.40270	−	11.1418i	−0.0587527	−	0.466679i
$571$	5.87123	−	8.08106i	0.245703	−	0.338182i	−0.668297	−	0.743894i	$-0.732977\pi$
$571$	5.87123	−	8.08106i	0.245703	−	0.338182i	0.914001	+	0.405713i	$0.132977\pi$
$572$	0.852368	−	0.332294i	0.0356393	−	0.0138939i
$573$	−0.618018	+	0.314896i	−0.0258181	+	0.0131550i
$574$	−0.423903	+	0.526271i	−0.0176934	+	0.0219661i
$575$	−15.7142	+	33.7804i	−0.655327	+	1.40874i
$576$	4.80277	+	6.39792i	0.200115	+	0.266580i
$577$	−12.4104	−	24.3568i	−0.516651	−	1.01399i	−0.991027	−	0.133663i	$-0.957326\pi$
$577$	−12.4104	−	24.3568i	−0.516651	−	1.01399i	0.474376	−	0.880323i	$-0.342674\pi$
$578$	−7.57259	−	4.34580i	−0.314978	−	0.180761i
$579$	−0.735876	−	0.534645i	−0.0305820	−	0.0222191i
$580$	−2.62501	−	34.7119i	−0.108998	−	1.44133i
$581$	0.575112	−	0.417843i	0.0238597	−	0.0173351i
$582$	−2.42903	+	0.261695i	−0.100687	+	0.0108476i
$583$	1.21818	−	7.69128i	0.0504518	−	0.318540i
$584$	−4.13019	−	0.621141i	−0.170908	−	0.0257030i
$585$	1.52976	+	1.07010i	0.0632478	+	0.0442432i
$586$	20.2902	+	31.0668i	0.838179	+	1.28336i
$587$	16.2223	−	31.8381i	0.669566	−	1.31410i	−0.267030	−	0.963688i	$-0.586042\pi$
$587$	16.2223	−	31.8381i	0.669566	−	1.31410i	0.936597	−	0.350409i	$-0.113958\pi$
$588$	−3.54640	+	13.5164i	−0.146251	+	0.557406i
$589$	−7.96049	−	2.58652i	−0.328006	−	0.106576i
$590$	17.3597	+	6.25825i	0.714687	+	0.257648i
$591$	−4.51755	+	1.46784i	−0.185827	+	0.0603789i
$592$	0.484944	+	1.73729i	0.0199311	+	0.0714021i
$593$	−12.3866	−	12.3866i	−0.508656	−	0.508656i	0.405458	−	0.914114i	$-0.367112\pi$
$593$	−12.3866	−	12.3866i	−0.508656	−	0.508656i	−0.914114	+	0.405458i	$0.867112\pi$
$594$	−0.773861	−	0.0385370i	−0.0317519	−	0.00158119i
$595$	0.146377	+	0.827913i	0.00600086	+	0.0339411i
$596$	16.7577	−	38.1719i	0.686421	−	1.56358i
$597$	17.6333	−	2.79284i	0.721683	−	0.114303i
$598$	−8.61043	−	1.80679i	−0.352107	−	0.0738853i
$599$	10.8175			0.441989			0.220995	−	0.975275i	$-0.429070\pi$
$599$	10.8175			0.441989			0.220995	+	0.975275i	$0.429070\pi$
$600$	−2.81952	−	13.8582i	−0.115107	−	0.565759i
$601$	11.1241			0.453761			0.226881	−	0.973923i	$-0.427147\pi$
$601$	11.1241			0.453761			0.226881	+	0.973923i	$0.427147\pi$
$602$	0.517573	+	0.108606i	0.0210947	+	0.00442647i
$603$	12.2481	−	1.93991i	0.498782	−	0.0789992i
$604$	15.5790	−	35.4869i	0.633899	−	1.44394i
$605$	−21.1198	+	11.2421i	−0.858643	+	0.457056i
$606$	−16.2050	−	0.806984i	−0.658285	−	0.0327815i
$607$	23.0754	+	23.0754i	0.936602	+	0.936602i	0.998107	−	0.0615046i	$-0.0195899\pi$
$607$	23.0754	+	23.0754i	0.936602	+	0.936602i	−0.0615046	+	0.998107i	$0.519590\pi$
$608$	−18.4564	−	7.93119i	−0.748507	−	0.321652i
$609$	0.845963	−	0.274870i	0.0342802	−	0.0111383i
$610$	−11.9366	−	17.5804i	−0.483301	−	0.711810i
$611$	2.68282	+	0.871702i	0.108535	+	0.0352653i
$612$	1.67009	−	6.36521i	0.0675094	−	0.257298i
$613$	−14.3058	+	28.0768i	−0.577807	+	1.13401i	0.398408	+	0.917208i	$0.369563\pi$
$613$	−14.3058	+	28.0768i	−0.577807	+	1.13401i	−0.976215	+	0.216802i	$0.930437\pi$
$614$	8.30997	+	12.7236i	0.335363	+	0.513483i
$615$	−9.34868	+	0.167490i	−0.376975	+	0.00675385i
$616$	0.0263353	−	0.175113i	0.00106108	−	0.00705550i
$617$	2.38218	−	15.0405i	0.0959030	−	0.605508i	−0.892191	−	0.451658i	$-0.850833\pi$
$617$	2.38218	−	15.0405i	0.0959030	−	0.605508i	0.988094	−	0.153850i	$-0.0491672\pi$
$618$	15.9639	−	1.71990i	0.642164	−	0.0691844i
$619$	16.5938	−	12.0561i	0.666962	−	0.484576i	−0.202045	−	0.979376i	$-0.564759\pi$
$619$	16.5938	−	12.0561i	0.666962	−	0.484576i	0.869007	+	0.494800i	$0.164759\pi$
$620$	−10.2421	−	2.49209i	−0.411332	−	0.100085i
$621$	6.02824	+	4.37977i	0.241905	+	0.175754i
$622$	24.3723	+	13.9869i	0.977238	+	0.560823i
$623$	−0.529187	−	1.03859i	−0.0212014	−	0.0416102i
$624$	3.03657	−	1.39002i	0.121560	−	0.0556455i
$625$	−6.00334	+	24.2685i	−0.240133	+	0.970740i
$626$	2.34457	−	2.91076i	0.0937080	−	0.116338i
$627$	1.73355	−	0.883290i	0.0692314	−	0.0352752i
$628$	−29.1408	+	11.3605i	−1.16284	+	0.453332i
$629$	0.872093	−	1.20033i	0.0347726	−	0.0478604i
$630$	0.327037	−	0.153721i	0.0130295	−	0.00612440i
$631$	−15.9680	−	21.9780i	−0.635675	−	0.874931i	0.362701	−	0.931906i	$-0.381855\pi$
$631$	−15.9680	−	21.9780i	−0.635675	−	0.874931i	−0.998376	+	0.0569743i	$0.981855\pi$
$632$	4.66626	+	13.9887i	0.185614	+	0.556440i
$633$	−4.09983	−	0.649349i	−0.162954	−	0.0258093i
$634$	−6.81917	+	17.9037i	−0.270824	+	0.711046i
$635$	−0.425251	−	23.7360i	−0.0168756	−	0.941934i
$636$	2.82418	−	28.2858i	0.111986	−	1.12161i
$637$	5.19759	+	2.64830i	0.205936	+	0.104930i
$638$	5.50335	−	2.46743i	0.217880	−	0.0976866i
$639$	−4.88001	+	15.0191i	−0.193050	+	0.594148i
$640$	−23.9300	−	8.20697i	−0.945917	−	0.324409i
$641$	11.5391	+	35.5136i	0.455765	+	1.40270i	0.870234	+	0.492638i	$0.163967\pi$
$641$	11.5391	+	35.5136i	0.455765	+	1.40270i	−0.414469	+	0.910063i	$0.636033\pi$
$642$	3.46465	+	3.82781i	0.136739	+	0.151072i
$643$	−32.3947	+	32.3947i	−1.27752	+	1.27752i	−0.335471	+	0.942051i	$0.608895\pi$
$643$	−32.3947	+	32.3947i	−1.27752	+	1.27752i	−0.942051	+	0.335471i	$0.891105\pi$
$644$	−1.13291	+	1.27147i	−0.0446427	+	0.0501028i
$645$	3.43827	+	6.45927i	0.135382	+	0.254333i
$646$	4.31835	+	15.9501i	0.169903	+	0.627549i
$647$	1.56537	+	9.88334i	0.0615410	+	0.388554i	0.999163	+	0.0408988i	$0.0130221\pi$
$647$	1.56537	+	9.88334i	0.0615410	+	0.388554i	−0.937622	+	0.347656i	$0.886978\pi$
$648$	−2.82834	+	0.0220838i	−0.111108	+	0.000867533i
$649$			3.19713i			0.125498i
$650$	−5.90306	−	0.0822307i	−0.231537	−	0.00322535i
$651$		−	0.269344i		−	0.0105564i
$652$	26.3305	+	32.1716i	1.03118	+	1.25994i
$653$	3.02216	+	19.0811i	0.118266	+	0.746703i	0.973538	+	0.228524i	$0.0733899\pi$
$653$	3.02216	+	19.0811i	0.118266	+	0.746703i	−0.855272	+	0.518179i	$0.826610\pi$
$654$	6.97966	−	1.88968i	0.272926	−	0.0738922i
$655$	49.0692	−	8.67554i	1.91729	−	0.338981i
$656$	−8.21181	+	14.5715i	−0.320617	+	0.568922i
$657$	1.04416	−	1.04416i	0.0407365	−	0.0407365i
$658$	0.404822	−	0.366415i	0.0157816	−	0.0142844i
$659$	9.26020	+	28.5000i	0.360726	+	1.11020i	0.952614	+	0.304181i	$0.0983828\pi$
$659$	9.26020	+	28.5000i	0.360726	+	1.11020i	−0.591888	+	0.806020i	$0.701617\pi$
$660$	2.09304	−	1.27382i	0.0814716	−	0.0495835i
$661$	−11.0378	+	33.9707i	−0.429319	+	1.32131i	0.469478	+	0.882944i	$0.344442\pi$
$661$	−11.0378	+	33.9707i	−0.429319	+	1.32131i	−0.898797	+	0.438365i	$0.855558\pi$
$662$	−1.72078	−	3.83801i	−0.0668798	−	0.149169i
$663$	−2.44768	−	1.24715i	−0.0950599	−	0.0484355i
$664$	12.3442	−	12.5385i	0.479048	−	0.486588i
$665$	−0.520122	+	0.743539i	−0.0201694	+	0.0288332i
$666$	−0.595942	−	0.226983i	−0.0230923	−	0.00879540i
$667$	−57.2867	−	9.07332i	−2.21815	−	0.351320i
$668$	28.9232	+	18.5696i	1.11907	+	0.718481i
$669$	6.51799	+	8.97124i	0.252000	+	0.346848i
$670$	−28.5978	+	26.8321i	−1.10483	+	1.03661i
$671$	2.16401	−	2.97851i	0.0835407	−	0.114984i
$672$	0.0591985	−	0.643710i	0.00228363	−	0.0248317i
$673$	14.5989	−	7.43852i	0.562747	−	0.286734i	−0.149385	−	0.988779i	$-0.547729\pi$
$673$	14.5989	−	7.43852i	0.562747	−	0.286734i	0.712133	+	0.702045i	$0.247729\pi$
$674$	−9.49472	−	7.64784i	−0.365723	−	0.294584i
$675$	4.53348	+	2.10892i	0.174494	+	0.0811722i
$676$	5.24106	+	24.0412i	0.201579	+	0.924663i
$677$	−19.3278	−	37.9329i	−0.742827	−	1.45788i	−0.883800	−	0.467866i	$-0.845023\pi$
$677$	−19.3278	−	37.9329i	−0.742827	−	1.45788i	0.140973	−	0.990013i	$-0.454977\pi$
$678$	−10.9026	+	18.9978i	−0.418710	+	0.729606i
$679$	0.159708	+	0.116035i	0.00612903	+	0.00445300i
$680$	6.93749	+	19.6194i	0.266041	+	0.752370i
$681$	7.25309	−	5.26968i	0.277939	−	0.201935i
$682$	−0.195623	−	1.81576i	−0.00749080	−	0.0695290i
$683$	−4.71709	+	29.7825i	−0.180494	+	1.13960i	0.716511	+	0.697576i	$0.245738\pi$
$683$	−4.71709	+	29.7825i	−0.180494	+	1.13960i	−0.897005	+	0.442020i	$0.854262\pi$
$684$	6.13222	−	3.58313i	0.234471	−	0.137004i
$685$	−13.2419	+	9.98807i	−0.505948	+	0.381625i
$686$	1.89251	−	1.23602i	0.0722562	−	0.0471915i
$687$	8.65291	−	16.9823i	0.330129	−	0.647915i
$688$	13.0782	+	0.548944i	0.498601	+	0.0209283i
$689$	−11.2858	−	3.66698i	−0.429955	−	0.139701i
$690$	−23.5512	−	0.750200i	−0.896577	−	0.0285596i
$691$	21.6237	−	7.02595i	0.822603	−	0.267280i	0.132676	−	0.991159i	$-0.457643\pi$
$691$	21.6237	−	7.02595i	0.822603	−	0.267280i	0.689926	+	0.723880i	$0.257643\pi$
$692$	26.5312	−	1.52896i	1.00857	−	0.0581225i
$693$	0.0442706	+	0.0442706i	0.00168170	+	0.00168170i
$694$	−2.04915	+	41.1490i	−0.0777848	+	1.56200i
$695$	15.0849	+	14.5539i	0.572201	+	0.552059i
$696$	19.5381	−	10.1481i	0.740590	−	0.384662i
$697$	13.5892	−	2.15232i	0.514728	−	0.0815249i
$698$	−7.17401	+	34.1883i	−0.271540	+	1.29405i
$699$	−20.4705			−0.774265
$700$	−0.582538	+	0.983099i	−0.0220179	+	0.0371577i
$701$	24.5720			0.928072			0.464036	−	0.885816i	$-0.346401\pi$
$701$	24.5720			0.928072			0.464036	+	0.885816i	$0.346401\pi$
$702$	−0.242480	+	1.15556i	−0.00915182	+	0.0436138i
$703$	1.58159	−	0.250500i	0.0596510	−	0.00944778i
$704$	−0.0684418	−	4.38251i	−0.00257950	−	0.165172i
$705$	7.48200	+	1.04801i	0.281788	+	0.0394704i
$706$	0.408385	−	8.20078i	0.0153698	−	0.308640i
$707$	0.927047	+	0.927047i	0.0348652	+	0.0348652i
$708$	0.671465	+	11.6516i	0.0252352	+	0.437892i
$709$	23.7263	−	7.70913i	0.891059	−	0.289522i	0.172517	−	0.985007i	$-0.444810\pi$
$709$	23.7263	−	7.70913i	0.891059	−	0.289522i	0.718542	+	0.695484i	$0.244810\pi$
$710$	−13.9120	−	47.9619i	−0.522108	−	1.79998i
$711$	−4.95848	−	1.61111i	−0.185957	−	0.0604212i
$712$	−17.1400	−	23.2080i	−0.642350	−	0.869756i
$713$	−7.97338	+	15.6486i	−0.298606	+	0.586046i
$714$	−0.445198	+	0.290765i	−0.0166611	+	0.0108816i
$715$	−0.333448	−	0.966955i	−0.0124702	−	0.0361621i
$716$	14.9461	+	25.5790i	0.558562	+	0.955932i
$717$	0.714563	−	4.51157i	0.0266859	−	0.168488i
$718$	2.25914	+	20.9692i	0.0843104	+	0.782563i
$719$	−40.3089	+	29.2861i	−1.50327	+	1.09219i	−0.534210	+	0.845352i	$0.679391\pi$
$719$	−40.3089	+	29.2861i	−1.50327	+	1.09219i	−0.969057	+	0.246836i	$0.920609\pi$
$720$	7.36033	−	5.08189i	0.274303	−	0.189391i
$721$	−1.04962	−	0.762595i	−0.0390900	−	0.0284005i
$722$	4.49750	−	7.83694i	0.167380	−	0.291661i
$723$	8.23409	+	16.1603i	0.306229	+	0.601009i
$724$	5.51106	−	1.20143i	0.204817	−	0.0446507i
$725$	−38.8949	+	1.39412i	−1.44452	+	0.0517763i
$726$	−11.7844	−	9.49214i	−0.437360	−	0.352286i
$727$	12.3755	−	6.30561i	0.458981	−	0.233862i	−0.209183	−	0.977876i	$-0.567081\pi$
$727$	12.3755	−	6.30561i	0.458981	−	0.233862i	0.668164	+	0.744014i	$0.267081\pi$
$728$	−0.257286	−	0.0813820i	−0.00953566	−	0.00301622i
$729$	0.587785	−	0.809017i	0.0217698	−	0.0299636i
$730$	−0.876959	+	4.58653i	−0.0324577	+	0.169755i
$731$	−6.32889	−	8.71097i	−0.234082	−	0.322187i
$732$	7.26094	−	11.3093i	0.268372	−	0.418004i
$733$	−20.2370	−	3.20522i	−0.747470	−	0.118388i	−0.228932	−	0.973442i	$-0.573523\pi$
$733$	−20.2370	−	3.20522i	−0.747470	−	0.118388i	−0.518538	+	0.855055i	$0.673523\pi$
$734$	26.3746	+	10.0456i	0.973504	+	0.370789i
$735$	14.9427	+	4.56092i	0.551170	+	0.168232i
$736$	−22.4951	+	35.6465i	−0.829181	+	1.31395i
$737$	−6.05363	−	3.08448i	−0.222988	−	0.113618i
$738$	−2.41932	−	5.39604i	−0.0890564	−	0.198631i
$739$	0.864509	−	2.66068i	0.0318015	−	0.0978749i	−0.933896	−	0.357545i	$-0.883614\pi$
$739$	0.864509	−	2.66068i	0.0318015	−	0.0978749i	0.965697	+	0.259670i	$0.0836139\pi$
$740$	1.96231	−	0.464762i	0.0721361	−	0.0170850i
$741$	−0.916193	−	2.81975i	−0.0336572	−	0.103586i
$742$	−1.70296	+	1.54140i	−0.0625177	+	0.0565865i
$743$	−12.0348	+	12.0348i	−0.441514	+	0.441514i	−0.892520	−	0.451007i	$-0.851065\pi$
$743$	−12.0348	+	12.0348i	−0.441514	+	0.441514i	0.451007	+	0.892520i	$0.351065\pi$
$744$	−1.09427	−	6.57624i	−0.0401181	−	0.241097i
$745$	−41.9012	−	20.4127i	−1.53514	−	0.747863i
$746$	−46.1814	+	12.5032i	−1.69082	+	0.457774i
$747$	0.973158	+	6.14428i	0.0356060	+	0.224807i
$748$	−2.79008	+	2.28351i	−0.102016	+	0.0834936i
$749$		−	0.417182i		−	0.0152435i
$750$	−15.6067	+	2.53565i	−0.569878	+	0.0925890i
$751$			15.7846i			0.575988i	0.957632	+	0.287994i	$0.0929883\pi$
$751$			15.7846i			0.575988i	−0.957632	+	0.287994i	$0.907012\pi$
$752$	8.39538	−	10.5910i	0.306148	−	0.386214i
$753$	−2.64398	−	16.6934i	−0.0963518	−	0.608341i
$754$	−2.40183	−	8.87135i	−0.0874697	−	0.323075i
$755$	−38.9539	−	18.9769i	−1.41768	−	0.690640i
$756$	0.170637	+	0.152041i	0.00620600	+	0.00552968i
$757$	29.9500	−	29.9500i	1.08855	−	1.08855i	0.0928725	−	0.995678i	$-0.470395\pi$
$757$	29.9500	−	29.9500i	1.08855	−	1.08855i	0.995678	−	0.0928725i	$-0.0296049\pi$
$758$	12.9546	+	14.3125i	0.470533	+	0.519853i
$759$	−1.26154	−	3.88262i	−0.0457910	−	0.140930i
$760$	−9.67836	+	20.2672i	−0.351071	+	0.735168i
$761$	2.86616	−	8.82112i	0.103898	−	0.319765i	−0.885572	−	0.464502i	$-0.846233\pi$
$761$	2.86616	−	8.82112i	0.103898	−	0.319765i	0.989470	+	0.144736i	$0.0462334\pi$
$762$	13.7004	−	6.14257i	0.496312	−	0.222522i
$763$	−0.520601	−	0.265259i	−0.0188470	−	0.00960304i
$764$	1.38037	+	0.137822i	0.0499401	+	0.00498624i
$765$	−7.03691	−	2.14785i	−0.254420	−	0.0776558i
$766$	−10.7148	+	28.1315i	−0.387140	+	1.01643i
$767$	4.81203	+	0.762150i	0.173752	+	0.0275197i
$768$	−1.16985	−	15.9572i	−0.0422133	−	0.575805i
$769$	−4.01537	−	5.52668i	−0.144798	−	0.199297i	0.730458	−	0.682958i	$-0.239307\pi$
$769$	−4.01537	−	5.52668i	−0.144798	−	0.199297i	−0.875256	+	0.483661i	$0.839307\pi$
$770$	−0.194461	−	0.0371816i	−0.00700790	−	0.00133993i
$771$	11.2042	−	15.4213i	0.403509	−	0.555383i
$772$	0.660769	+	1.69494i	0.0237816	+	0.0610022i
$773$	9.38905	−	4.78396i	0.337701	−	0.172067i	−0.276914	−	0.960895i	$-0.589312\pi$
$773$	9.38905	−	4.78396i	0.337701	−	0.172067i	0.614614	+	0.788828i	$0.289312\pi$
$774$	−2.90307	+	3.60413i	−0.104349	+	0.129548i
$775$	−3.23797	+	11.3316i	−0.116311	+	0.407041i
$776$	4.37081	+	2.18422i	0.156903	+	0.0784089i
$777$	0.0233935	+	0.0459124i	0.000839238	+	0.00164710i
$778$	7.19084	+	4.12671i	0.257804	+	0.147950i
$779$	12.0133	+	8.72819i	0.430422	+	0.312720i
$780$	−1.41829	−	3.45392i	−0.0507830	−	0.123670i
$781$	6.99974	−	5.08561i	0.250470	−	0.181977i
$782$	34.4731	−	3.71401i	1.23276	−	0.132813i
$783$	−1.21768	+	7.68814i	−0.0435164	+	0.274752i
$784$	20.5734	−	18.9159i	0.734765	−	0.675568i
$785$	11.3999	+	33.0582i	0.406880	+	1.17990i
$786$	17.2333	+	26.3863i	0.614690	+	0.941168i
$787$	14.4754	−	28.4096i	0.515993	−	1.01269i	−0.475152	−	0.879904i	$-0.657607\pi$
$787$	14.4754	−	28.4096i	0.515993	−	1.01269i	0.991144	−	0.132789i	$-0.0423932\pi$
$788$	9.18903	+	2.41100i	0.327346	+	0.0858883i
$789$	13.3951	+	4.35232i	0.476877	+	0.154947i
$790$	15.8343	−	4.59296i	0.563360	−	0.163410i
$791$	1.68328	−	0.546932i	0.0598507	−	0.0194467i
$792$	1.26076	+	0.901039i	0.0447991	+	0.0320170i
$793$	−3.96711	−	3.96711i	−0.140876	−	0.140876i
$794$	−12.0126	−	0.598207i	−0.426311	−	0.0212296i
$795$	−31.4745	−	4.40866i	−1.11628	−	0.156359i
$796$	−32.6944	−	14.3530i	−1.15882	−	0.508729i
$797$	23.1153	−	3.66111i	0.818787	−	0.129683i	0.267030	−	0.963688i	$-0.413958\pi$
$797$	23.1153	−	3.66111i	0.818787	−	0.129683i	0.551757	+	0.834005i	$0.313958\pi$
$798$	−0.561659	−	0.117857i	−0.0198825	−	0.00417210i
$799$	−11.1171			−0.393294
$800$	−10.2290	+	26.3698i	−0.361651	+	0.932314i
$801$	10.2004			0.360415
$802$	−28.6229	−	6.00616i	−1.01071	−	0.212085i
$803$	−0.799074	+	0.126561i	−0.0281987	+	0.00446624i
$804$	−22.7096	−	9.96963i	−0.800904	−	0.351602i
$805$	1.37022	+	1.32198i	0.0482937	+	0.0465938i
$806$	−2.77955	−	0.138417i	−0.0979055	−	0.00487553i
$807$	−6.37632	−	6.37632i	−0.224457	−	0.224457i
$808$	26.4009	+	18.8682i	0.928781	+	0.663781i
$809$	37.9775	−	12.3396i	1.33522	−	0.433839i	0.447524	−	0.894272i	$-0.352306\pi$
$809$	37.9775	−	12.3396i	1.33522	−	0.433839i	0.887694	+	0.460433i	$0.152306\pi$
$810$	−0.100680	+	3.16067i	−0.00353754	+	0.111055i
$811$	43.4885	+	14.1303i	1.52709	+	0.496181i	0.947779	−	0.318928i	$-0.103323\pi$
$811$	43.4885	+	14.1303i	1.52709	+	0.496181i	0.579308	+	0.815109i	$0.303323\pi$
$812$	−1.72075	−	0.451488i	−0.0603866	−	0.0158441i
$813$	−5.02559	+	9.86328i	−0.176255	+	0.345920i
$814$	0.191051	+	0.292524i	0.00669635	+	0.0102529i
$815$	37.1076	−	27.9894i	1.29982	−	0.980425i
$816$	−9.68855	+	8.90798i	−0.339167	+	0.311842i
$817$	1.81791	−	11.4778i	0.0636006	−	0.401559i
$818$	36.9305	−	3.97876i	1.29125	−	0.139114i
$819$	0.0771855	−	0.0560786i	0.00269708	−	0.00195954i
$820$	15.9147	+	9.81967i	0.555765	+	0.342918i
$821$	9.30020	+	6.75699i	0.324579	+	0.235821i	0.738127	−	0.674662i	$-0.235711\pi$
$821$	9.30020	+	6.75699i	0.324579	+	0.235821i	−0.413548	+	0.910482i	$0.635711\pi$
$822$	−9.09839	−	5.22143i	−0.317343	−	0.182118i
$823$	−20.5479	−	40.3274i	−0.716253	−	1.40573i	−0.905736	−	0.423842i	$-0.860681\pi$
$823$	−20.5479	−	40.3274i	−0.716253	−	1.40573i	0.189483	−	0.981884i	$-0.439319\pi$
$824$	−28.7255	−	14.3550i	−1.00070	−	0.500080i
$825$	−1.33030	−	2.39471i	−0.0463150	−	0.0833731i
$826$	0.591569	−	0.734427i	0.0205833	−	0.0255540i
$827$	−26.3787	+	13.4406i	−0.917278	+	0.467377i	−0.847865	−	0.530211i	$-0.822113\pi$
$827$	−26.3787	+	13.4406i	−0.917278	+	0.467377i	−0.0694128	+	0.997588i	$0.522113\pi$
$828$	−5.41297	−	13.8848i	−0.188114	−	0.482530i
$829$	−1.32329	+	1.82135i	−0.0459597	+	0.0632581i	−0.831378	−	0.555707i	$-0.812448\pi$
$829$	−1.32329	+	1.82135i	−0.0459597	+	0.0632581i	0.785419	+	0.618965i	$0.212448\pi$
$830$	−13.4603	−	14.3461i	−0.467216	−	0.497960i
$831$	−16.2964	−	22.4300i	−0.565315	−	0.778089i
$832$	−6.61247	−	0.941716i	−0.229246	−	0.0326481i
$833$	−22.7063	−	3.59632i	−0.786727	−	0.124605i
$834$	−4.71864	+	12.3888i	−0.163393	+	0.428988i
$835$	22.0270	−	31.4887i	0.762277	−	1.08971i
$836$	−3.87197	−	0.386594i	−0.133915	−	0.0133706i
$837$	2.10012	+	1.07006i	0.0725908	+	0.0369868i
$838$	−43.9161	+	19.6898i	−1.51706	+	0.680174i
$839$	−10.6542	+	32.7902i	−0.367823	+	1.13204i	0.580371	+	0.814352i	$0.302907\pi$
$839$	−10.6542	+	32.7902i	−0.367823	+	1.13204i	−0.948194	+	0.317691i	$0.897093\pi$
$840$	−0.716500	−	0.0946630i	−0.0247216	−	0.00326618i
$841$	−9.76191	−	30.0441i	−0.336618	−	1.03600i
$842$	4.30093	+	4.75174i	0.148220	+	0.163756i
$843$	−6.95613	+	6.95613i	−0.239582	+	0.239582i
$844$	6.19832	+	5.52284i	0.213355	+	0.190104i
$845$	27.0901	−	4.78958i	0.931927	−	0.164767i
$846$	1.24870	+	4.61218i	0.0429313	+	0.158570i
$847$	0.191273	+	1.20765i	0.00657221	+	0.0414953i
$848$	−35.3168	+	44.5531i	−1.21278	+	1.52996i
$849$		−	15.2189i		−	0.522313i
$850$	22.2254	−	6.88072i	0.762325	−	0.236007i
$851$		−	3.35999i		−	0.115179i
$852$	24.4417	−	20.0040i	0.837357	−	0.685326i
$853$	−5.21245	−	32.9101i	−0.178471	−	1.12682i	−0.900467	−	0.434924i	$-0.856775\pi$
$853$	−5.21245	−	32.9101i	−0.178471	−	1.12682i	0.721997	−	0.691897i	$-0.243225\pi$
$854$	−1.04822	+	0.283796i	−0.0358694	+	0.00971131i
$855$	−3.73113	−	7.00945i	−0.127602	−	0.239718i
$856$	−1.69490	−	10.1858i	−0.0579306	−	0.348144i
$857$	17.1757	−	17.1757i	0.586710	−	0.586710i	−0.350029	−	0.936739i	$-0.613828\pi$
$857$	17.1757	−	17.1757i	0.586710	−	0.586710i	0.936739	+	0.350029i	$0.113828\pi$
$858$	0.479610	−	0.434108i	0.0163736	−	0.0148202i
$859$	−9.50209	−	29.2444i	−0.324207	−	0.997807i	−0.971797	−	0.235818i	$-0.924223\pi$
$859$	−9.50209	−	29.2444i	−0.324207	−	0.997807i	0.647590	−	0.761989i	$-0.275777\pi$
$860$	1.19288	−	14.5860i	0.0406768	−	0.497380i
$861$	−0.147659	+	0.454449i	−0.00503222	+	0.0154876i
$862$	−6.77207	−	15.1044i	−0.230657	−	0.514458i
$863$	33.7650	+	17.2041i	1.14937	+	0.585635i	0.921624	−	0.388085i	$-0.126863\pi$
$863$	33.7650	+	17.2041i	1.14937	+	0.585635i	0.227749	+	0.973720i	$0.426863\pi$
$864$	4.78393	+	3.01895i	0.162753	+	0.102707i
$865$	−0.532233	−	29.7073i	−0.0180965	−	1.01008i
$866$	21.5911	+	8.22366i	0.733697	+	0.279451i
$867$	−6.09773	−	0.965785i	−0.207090	−	0.0327998i
$868$	−0.291035	+	0.453303i	−0.00987837	+	0.0153861i
$869$	1.67898	+	2.31092i	0.0569556	+	0.0783927i
$870$	−10.4711	−	22.2769i	−0.355003	−	0.755256i
$871$	−6.08558	+	8.37608i	−0.206202	+	0.283813i
$872$	−13.7885	−	4.36144i	−0.466939	−	0.147697i
$873$	−1.53924	+	0.784280i	−0.0520953	+	0.0265439i
$874$	29.1429	+	23.4742i	0.985775	+	0.794026i
$875$	1.07246	+	0.694356i	0.0362556	+	0.0234735i
$876$	−2.88555	+	0.629059i	−0.0974938	+	0.0212539i
$877$	−9.77765	−	19.1897i	−0.330168	−	0.647991i	0.664928	−	0.746908i	$-0.268462\pi$
$877$	−9.77765	−	19.1897i	−0.330168	−	0.647991i	−0.995096	+	0.0989168i	$0.968462\pi$
$878$	16.7457	−	29.1795i	0.565140	−	0.984761i
$879$	21.2268	+	15.4222i	0.715961	+	0.520176i
$880$	−4.89898	−	0.117772i	−0.165145	−	0.00397008i
$881$	−4.08907	+	2.97088i	−0.137764	+	0.100092i	−0.654533	−	0.756034i	$-0.727135\pi$
$881$	−4.08907	+	2.97088i	−0.137764	+	0.100092i	0.516769	+	0.856125i	$0.327135\pi$
$882$	1.05842	+	9.82418i	0.0356389	+	0.330797i
$883$	2.70778	−	17.0963i	0.0911241	−	0.575335i	−0.899306	−	0.437320i	$-0.855928\pi$
$883$	2.70778	−	17.0963i	0.0911241	−	0.575335i	0.990430	−	0.138015i	$-0.0440722\pi$
$884$	2.77182	+	4.74374i	0.0932265	+	0.159549i
$885$	13.0464	−	0.233737i	0.438549	−	0.00785699i
$886$	48.0925	−	31.4099i	1.61570	−	1.05524i
$887$	6.24858	−	12.2635i	0.209807	−	0.411769i	−0.761990	−	0.647589i	$-0.775777\pi$
$887$	6.24858	−	12.2635i	0.209807	−	0.411769i	0.971797	+	0.235820i	$0.0757775\pi$
$888$	0.757701	+	1.02594i	0.0254268	+	0.0344284i
$889$	−1.15383	−	0.374902i	−0.0386983	−	0.0125738i
$890$	−26.6866	+	18.1195i	−0.894536	+	0.607367i
$891$	−0.521065	+	0.169304i	−0.0174563	+	0.00567191i
$892$	−1.27598	−	22.1414i	−0.0427230	−	0.741349i
$893$	−8.48413	−	8.48413i	−0.283910	−	0.283910i
$894$	1.46614	−	29.4416i	0.0490351	−	0.984673i
$895$	29.2381	−	15.5635i	0.977322	−	0.520229i
$896$	−0.795180	+	1.01939i	−0.0265651	+	0.0340554i
$897$	−6.14450	+	0.973193i	−0.205159	+	0.0324940i
$898$	−4.78835	+	22.8193i	−0.159789	+	0.761490i
$899$	−18.3470			−0.611906
$900$	−5.35105	−	8.44786i	−0.178368	−	0.281595i
$901$	46.7662			1.55801
$902$	−0.665369	+	3.17087i	−0.0221544	+	0.105579i
$903$	0.369346	−	0.0584987i	0.0122911	−	0.00194671i
$904$	38.8766	−	20.1925i	1.29302	−	0.671593i
$905$	−1.09793	−	6.20995i	−0.0364965	−	0.206426i
$906$	1.36302	−	27.3707i	0.0452832	−	0.909330i
$907$	−27.9127	−	27.9127i	−0.926827	−	0.926827i	0.0706721	−	0.997500i	$-0.477486\pi$
$907$	−27.9127	−	27.9127i	−0.926827	−	0.926827i	−0.997500	+	0.0706721i	$0.977486\pi$
$908$	−17.9009	+	1.03161i	−0.594063	+	0.0342351i
$909$	−10.9114	+	3.54532i	−0.361907	+	0.117591i
$910$	−0.102319	+	0.283822i	−0.00339185	+	0.00940860i
$911$	−15.2643	−	4.95966i	−0.505727	−	0.164321i	0.0450309	−	0.998986i	$-0.485661\pi$
$911$	−15.2643	−	4.95966i	−0.505727	−	0.164321i	−0.550758	+	0.834665i	$0.685661\pi$
$912$	−14.1921	−	0.595701i	−0.469949	−	0.0197256i
$913$	1.54733	−	3.03681i	0.0512092	−	0.100504i
$914$	−20.4675	+	13.3676i	−0.677004	+	0.442161i
$915$	−12.3124	−	8.61282i	−0.407037	−	0.284731i
$916$	−32.9127	+	19.2313i	−1.08747	+	0.635419i
$917$	0.398368	−	2.51520i	0.0131553	−	0.0830592i
$918$	−0.498437	−	4.62645i	−0.0164509	−	0.152696i
$919$	36.9460	−	26.8429i	1.21874	−	0.885465i	0.222743	−	0.974877i	$-0.428499\pi$
$919$	36.9460	−	26.8429i	1.21874	−	0.885465i	0.995995	+	0.0894125i	$0.0284989\pi$
$920$	38.8257	+	26.7104i	1.28005	+	0.880615i
$921$	8.69356	+	6.31624i	0.286463	+	0.208127i
$922$	−16.6873	+	29.0777i	−0.549566	+	0.957623i
$923$	−5.98576	−	11.7477i	−0.197024	−	0.386681i
$924$	−0.0266711	−	0.122343i	−0.000877413	−	0.00402478i
$925$	−0.432242	−	2.21281i	−0.0142120	−	0.0727566i
$926$	−21.3093	−	17.1643i	−0.700267	−	0.564053i
$927$	10.1161	−	5.15440i	0.332256	−	0.169293i
$928$	−43.8478	−	4.03244i	−1.43937	−	0.132371i
$929$	−7.41525	+	10.2062i	−0.243286	+	0.334855i	−0.913146	−	0.407633i	$-0.866354\pi$
$929$	−7.41525	+	10.2062i	−0.243286	+	0.334855i	0.669860	+	0.742488i	$0.266354\pi$
$930$	−7.39518	+	0.931018i	−0.242497	+	0.0305293i
$931$	−14.5840	−	20.0731i	−0.477971	−	0.657870i
$932$	34.4516	+	22.1190i	1.12850	+	0.724533i
$933$	19.6254	+	3.10836i	0.642508	+	0.101763i
$934$	−33.9596	−	12.9346i	−1.11119	−	0.423232i
$935$	2.42738	+	3.21816i	0.0793840	+	0.105245i
$936$	1.65671	−	1.68279i	0.0541513	−	0.0550036i
$937$	−22.9827	−	11.7103i	−0.750812	−	0.382558i	0.0363216	−	0.999340i	$-0.488436\pi$
$937$	−22.9827	−	11.7103i	−0.750812	−	0.382558i	−0.787134	+	0.616782i	$0.788436\pi$
$938$	0.819882	+	1.82866i	0.0267701	+	0.0597079i
$939$	0.816693	−	2.51352i	0.0266518	−	0.0820257i
$940$	−11.4597	−	9.84833i	−0.373774	−	0.321217i
$941$	−1.17001	−	3.60092i	−0.0381412	−	0.117387i	0.930173	−	0.367121i	$-0.119657\pi$
$941$	−1.17001	−	3.60092i	−0.0381412	−	0.117387i	−0.968314	+	0.249735i	$0.919657\pi$
$942$	−16.3969	+	14.8413i	−0.534240	+	0.483555i
$943$	22.0319	−	22.0319i	0.717458	−	0.717458i
$944$	11.4598	−	20.3350i	0.372985	−	0.661847i
$945$	0.177416	−	0.183889i	0.00577135	−	0.00598192i
$946$	2.44743	−	0.662618i	0.0795727	−	0.0215436i
$947$	−4.94264	−	31.2066i	−0.160614	−	1.01408i	−0.927915	−	0.372791i	$-0.878401\pi$
$947$	−4.94264	−	31.2066i	−0.160614	−	1.01408i	0.767301	−	0.641287i	$-0.221599\pi$
$948$	6.60421	+	8.06927i	0.214495	+	0.262078i
$949$			1.23286i			0.0400205i
$950$	22.2127	+	11.7105i	0.720674	+	0.379938i
$951$			13.5470i			0.439292i
$952$	1.06345	−	0.00830342i	0.0344665	−	0.000269115i
$953$	3.41362	+	21.5528i	0.110578	+	0.698162i	0.979232	+	0.202743i	$0.0649856\pi$
$953$	3.41362	+	21.5528i	0.110578	+	0.698162i	−0.868654	+	0.495419i	$0.835014\pi$
$954$	−5.25291	−	19.4020i	−0.170069	−	0.628163i
$955$	0.215147	−	1.53598i	0.00696198	−	0.0497032i
$956$	−6.07750	+	6.82082i	−0.196561	+	0.220601i
$957$	3.01559	−	3.01559i	0.0974802	−	0.0974802i
$958$	−32.2480	−	35.6281i	−1.04189	−	1.15109i
$959$	0.261936	+	0.806155i	0.00845835	+	0.0260321i
$960$	−17.8785	+	0.599686i	−0.577026	+	0.0193548i
$961$	7.86277	−	24.1991i	0.253638	−	0.780617i
$962$	0.485824	−	0.217820i	0.0156636	−	0.00702279i
$963$	3.25284	+	1.65741i	0.104821	+	0.0534091i
$964$	3.60386	−	36.0948i	0.116073	−	1.16254i
$965$	1.92280	−	0.663063i	0.0618970	−	0.0213447i
$966$	−0.428612	+	1.12532i	−0.0137904	+	0.0362065i
$967$	−25.3994	−	4.02287i	−0.816791	−	0.129367i	−0.265960	−	0.963984i	$-0.585689\pi$
$967$	−25.3994	−	4.02287i	−0.816791	−	0.129367i	−0.550830	+	0.834617i	$0.685689\pi$
$968$	9.57643	+	28.7086i	0.307798	+	0.922729i
$969$	6.86797	+	9.45295i	0.220631	+	0.303672i
$970$	2.63383	−	4.78607i	0.0845671	−	0.153671i
$971$	−33.1950	+	45.6890i	−1.06528	+	1.46623i	−0.190514	+	0.981684i	$0.561016\pi$
$971$	−33.1950	+	45.6890i	−1.06528	+	1.46623i	−0.874765	+	0.484547i	$0.838984\pi$
$972$	−1.86340	+	0.726445i	−0.0597687	+	0.0233007i
$973$	0.954452	−	0.486317i	0.0305983	−	0.0155906i
$974$	24.0325	−	29.8361i	0.770051	−	0.956011i
$975$	−3.92143	+	1.43138i	−0.125586	+	0.0458407i
$976$	−24.4401	+	11.1878i	−0.782310	+	0.358111i
$977$	10.2310	+	20.0795i	0.327320	+	0.642401i	0.994757	−	0.102265i	$-0.0326088\pi$
$977$	10.2310	+	20.0795i	0.327320	+	0.642401i	−0.667437	+	0.744666i	$0.732609\pi$
$978$	25.4962	+	14.6319i	0.815280	+	0.467877i
$979$	−4.52129	−	3.28491i	−0.144501	−	0.104986i
$980$	−20.2202	−	23.8221i	−0.645910	−	0.760968i
$981$	4.13654	−	3.00537i	0.132070	−	0.0959542i
$982$	−2.77548	+	0.299020i	−0.0885692	+	0.00954212i
$983$	−0.276219	+	1.74398i	−0.00881001	+	0.0556242i	−0.991702	−	0.128560i	$-0.958964\pi$
$983$	−0.276219	+	1.74398i	−0.00881001	+	0.0556242i	0.982892	+	0.184185i	$0.0589644\pi$
$984$	−1.75891	+	11.6956i	−0.0560720	+	0.372843i
$985$	3.10071	−	10.1587i	0.0987970	−	0.323684i
$986$	19.8061	+	30.3257i	0.630756	+	0.965767i
$987$	0.175284	−	0.344014i	0.00557935	−	0.0109501i
$988$	−1.50489	+	5.73558i	−0.0478770	+	0.182473i
$989$	−23.1904	−	7.53502i	−0.737412	−	0.239600i
$990$	1.06248	−	1.36853i	0.0337677	−	0.0434947i
$991$	1.11091	−	0.360956i	0.0352891	−	0.0114661i	−0.291319	−	0.956626i	$-0.594094\pi$
$991$	1.11091	−	0.360956i	0.0352891	−	0.0114661i	0.326608	+	0.945160i	$0.394094\pi$
$992$	−5.26419	+	12.2501i	−0.167138	+	0.388942i
$993$	−2.10306	−	2.10306i	−0.0667385	−	0.0667385i
$994$	−2.54894	−	0.126933i	−0.0808475	−	0.00402607i
$995$	−17.4836	+	35.8886i	−0.554266	+	1.13774i
$996$	5.00128	−	11.3923i	0.158471	−	0.360978i
$997$	−54.1659	+	8.57903i	−1.71545	+	0.271701i	−0.935291	−	0.353881i	$-0.884862\pi$
$997$	−54.1659	+	8.57903i	−1.71545	+	0.271701i	−0.780159	+	0.625581i	$0.784862\pi$
$998$	−21.8990	−	4.59523i	−0.693200	−	0.145459i
$999$	−0.450925			−0.0142667

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.103.1	yes	240
3.2	odd	2		900.2.bj.f.703.30		240
4.3	odd	2	inner	300.2.w.a.103.19	yes	240
12.11	even	2		900.2.bj.f.703.12		240
25.17	odd	20	inner	300.2.w.a.67.19	yes	240
75.17	even	20		900.2.bj.f.667.12		240
100.67	even	20	inner	300.2.w.a.67.1	✓	240
300.167	odd	20		900.2.bj.f.667.30		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.67.1	✓	240	100.67	even	20	inner
300.2.w.a.67.19	yes	240	25.17	odd	20	inner
300.2.w.a.103.1	yes	240	1.1	even	1	trivial
300.2.w.a.103.19	yes	240	4.3	odd	2	inner
900.2.bj.f.667.12		240	75.17	even	20
900.2.bj.f.667.30		240	300.167	odd	20
900.2.bj.f.703.12		240	12.11	even	2
900.2.bj.f.703.30		240	3.2	odd	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)

\(f(q)\)	\(=\)	\(q+(-1.38407 - 0.290430i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(1.83130 + 0.803952i) q^{4} +(0.979302 - 2.01022i) q^{5} +(1.41246 + 0.0703383i) q^{6} +(-0.0808033 - 0.0808033i) q^{7} +(-2.30116 - 1.64459i) q^{8} +(0.951057 - 0.309017i) q^{9} +O(q^{10})\)	\(q+(-1.38407 - 0.290430i) q^{2} +(-0.987688 + 0.156434i) q^{3} +(1.83130 + 0.803952i) q^{4} +(0.979302 - 2.01022i) q^{5} +(1.41246 + 0.0703383i) q^{6} +(-0.0808033 - 0.0808033i) q^{7} +(-2.30116 - 1.64459i) q^{8} +(0.951057 - 0.309017i) q^{9} +(-1.93925 + 2.49786i) q^{10} +(-0.521065 - 0.169304i) q^{11} +(-1.93452 - 0.507575i) q^{12} +(-0.379036 + 0.743901i) q^{13} +(0.0883697 + 0.135305i) q^{14} +(-0.652778 + 2.13866i) q^{15} +(2.70732 + 2.94455i) q^{16} +(0.514721 - 3.24982i) q^{17} +(-1.40608 + 0.151486i) q^{18} +(2.87295 - 2.08732i) q^{19} +(3.40951 - 2.89400i) q^{20} +(0.0924489 + 0.0671680i) q^{21} +(0.672020 + 0.385662i) q^{22} +(-3.38282 - 6.63917i) q^{23} +(2.53010 + 1.26436i) q^{24} +(-3.08194 - 3.93722i) q^{25} +(0.740664 - 0.919527i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(-0.0830132 - 0.212937i) q^{28} +(4.57530 - 6.29737i) q^{29} +(1.52462 - 2.77047i) q^{30} +(-1.38542 - 1.90687i) q^{31} +(-2.89194 - 4.86176i) q^{32} +(0.541135 + 0.0857074i) q^{33} +(-1.65626 + 4.34849i) q^{34} +(-0.241563 + 0.0833013i) q^{35} +(1.99011 + 0.198701i) q^{36} +(0.401778 + 0.204716i) q^{37} +(-4.58259 + 2.05461i) q^{38} +(0.257998 - 0.794036i) q^{39} +(-5.55951 + 3.01527i) q^{40} +(1.29216 + 3.97687i) q^{41} +(-0.108448 - 0.119815i) q^{42} +(2.31395 - 2.31395i) q^{43} +(-0.818115 - 0.728959i) q^{44} +(0.310180 - 2.21445i) q^{45} +(2.75385 + 10.1715i) q^{46} +(-0.528548 - 3.33712i) q^{47} +(-3.13462 - 2.48478i) q^{48} -6.98694i q^{49} +(3.12213 + 6.34447i) q^{50} +3.29033i q^{51} +(-1.29219 + 1.05758i) q^{52} +(2.22344 + 14.0382i) q^{53} +(1.36507 - 0.369579i) q^{54} +(-0.850619 + 0.881654i) q^{55} +(0.0530527 + 0.318829i) q^{56} +(-2.51105 + 2.51105i) q^{57} +(-8.16149 + 7.38719i) q^{58} +(-1.80325 - 5.54984i) q^{59} +(-2.91481 + 3.39173i) q^{60} +(-2.07653 + 6.39089i) q^{61} +(1.36371 + 3.04161i) q^{62} +(-0.101818 - 0.0518789i) q^{63} +(2.59064 + 7.56892i) q^{64} +(1.12421 + 1.49045i) q^{65} +(-0.724077 - 0.275787i) q^{66} +(12.2481 + 1.93991i) q^{67} +(3.55531 - 5.53758i) q^{68} +(4.37977 + 6.02824i) q^{69} +(0.358533 - 0.0451376i) q^{70} +(-9.28233 + 12.7760i) q^{71} +(-2.69674 - 0.853002i) q^{72} +(1.31572 - 0.670391i) q^{73} +(-0.496633 - 0.400030i) q^{74} +(3.65991 + 3.40662i) q^{75} +(6.93934 - 1.51280i) q^{76} +(0.0284234 + 0.0557842i) q^{77} +(-0.587700 + 1.02407i) q^{78} +(-4.21793 - 3.06451i) q^{79} +(8.57048 - 2.55870i) q^{80} +(0.809017 - 0.587785i) q^{81} +(-0.633441 - 5.87955i) q^{82} +(-0.973158 + 6.14428i) q^{83} +(0.115302 + 0.197329i) q^{84} +(-6.02877 - 4.21725i) q^{85} +(-3.87472 + 2.53063i) q^{86} +(-3.53385 + 6.93557i) q^{87} +(0.920617 + 1.24654i) q^{88} +(9.70119 + 3.15211i) q^{89} +(-1.07245 + 2.97487i) q^{90} +(0.0907370 - 0.0294822i) q^{91} +(-0.857397 - 14.8779i) q^{92} +(1.66666 + 1.66666i) q^{93} +(-0.237653 + 4.77231i) q^{94} +(-1.38248 - 7.81937i) q^{95} +(3.61688 + 4.34950i) q^{96} +(-1.70626 + 0.270245i) q^{97} +(-2.02922 + 9.67042i) q^{98} -0.547881 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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