LMFDB - Embedded newform 336.2.bu.a.11.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(11,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("336.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bu (of order $12$, degree $4$, 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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.11
Character	$\chi$	$=$	336.11
Dual form			336.2.bu.a.275.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14092 - 0.835638i) q^{2} +(-0.269460 + 1.71096i) q^{3} +(0.603419 + 1.90680i) q^{4} +(-1.67179 - 0.447955i) q^{5} +(1.73718 - 1.72691i) q^{6} +(-0.837482 + 2.50971i) q^{7} +(0.904939 - 2.67975i) q^{8} +(-2.85478 - 0.922073i) q^{9} +O(q^{10})$	\(q+(-1.14092 - 0.835638i) q^{2} +(-0.269460 + 1.71096i) q^{3} +(0.603419 + 1.90680i) q^{4} +(-1.67179 - 0.447955i) q^{5} +(1.73718 - 1.72691i) q^{6} +(-0.837482 + 2.50971i) q^{7} +(0.904939 - 2.67975i) q^{8} +(-2.85478 - 0.922073i) q^{9} +(1.53306 + 1.90810i) q^{10} +(-1.41373 + 0.378806i) q^{11} +(-3.42506 + 0.518620i) q^{12} +(2.25513 - 2.25513i) q^{13} +(3.05271 - 2.16355i) q^{14} +(1.21692 - 2.73967i) q^{15} +(-3.27177 + 2.30120i) q^{16} +(-5.13312 - 2.96361i) q^{17} +(2.48657 + 3.43758i) q^{18} +(0.296651 - 1.10712i) q^{19} +(-0.154630 - 3.45808i) q^{20} +(-4.06834 - 2.10917i) q^{21} +(1.92950 + 0.749172i) q^{22} +(-0.241263 + 0.139294i) q^{23} +(4.34111 + 2.27040i) q^{24} +(-1.73590 - 1.00222i) q^{25} +(-4.45741 + 0.688462i) q^{26} +(2.34688 - 4.63596i) q^{27} +(-5.29086 - 0.0825068i) q^{28} +(0.384836 + 0.384836i) q^{29} +(-3.67778 + 2.10885i) q^{30} +(-7.35634 - 4.24719i) q^{31} +(5.65581 + 0.108522i) q^{32} +(-0.267181 - 2.52090i) q^{33} +(3.38000 + 7.67068i) q^{34} +(2.52433 - 3.82055i) q^{35} +(0.0355792 - 5.99989i) q^{36} +(-0.723993 + 2.70198i) q^{37} +(-1.26360 + 1.01524i) q^{38} +(3.25078 + 4.46611i) q^{39} +(-2.71328 + 4.07462i) q^{40} -9.27488 q^{41} +(2.87917 + 5.80606i) q^{42} +(-4.36690 + 4.36690i) q^{43} +(-1.57538 - 2.46711i) q^{44} +(4.35955 + 2.82033i) q^{45} +(0.391662 + 0.0426854i) q^{46} +(5.56010 + 9.63038i) q^{47} +(-3.05565 - 6.21796i) q^{48} +(-5.59725 - 4.20367i) q^{49} +(1.14304 + 2.59405i) q^{50} +(6.45379 - 7.98399i) q^{51} +(5.66087 + 2.93930i) q^{52} +(2.85638 + 10.6601i) q^{53} +(-6.55160 + 3.32814i) q^{54} +2.53314 q^{55} +(5.96753 + 4.51538i) q^{56} +(1.81430 + 0.805882i) q^{57} +(-0.117485 - 0.760653i) q^{58} +(-0.452667 + 0.121292i) q^{59} +(5.95830 + 0.667249i) q^{60} +(2.36803 + 0.634511i) q^{61} +(4.84392 + 10.9930i) q^{62} +(4.70496 - 6.39244i) q^{63} +(-6.36217 - 4.85003i) q^{64} +(-4.78031 + 2.75991i) q^{65} +(-1.80173 + 3.09943i) q^{66} +(13.2293 - 3.54478i) q^{67} +(2.55358 - 11.5761i) q^{68} +(-0.173315 - 0.450327i) q^{69} +(-6.07267 + 2.24953i) q^{70} -5.13940i q^{71} +(-5.05433 + 6.81570i) q^{72} +(-13.3299 - 7.69604i) q^{73} +(3.08390 - 2.47776i) q^{74} +(2.18253 - 2.70001i) q^{75} +(2.29005 - 0.102401i) q^{76} +(0.233277 - 3.86528i) q^{77} +(0.0231622 - 7.81197i) q^{78} +(2.11016 - 1.21830i) q^{79} +(6.50055 - 2.38152i) q^{80} +(7.29956 + 5.26464i) q^{81} +(10.5819 + 7.75044i) q^{82} +(-2.72685 + 2.72685i) q^{83} +(1.56684 - 9.03023i) q^{84} +(7.25394 + 7.25394i) q^{85} +(8.63146 - 1.33316i) q^{86} +(-0.762138 + 0.554742i) q^{87} +(-0.264226 + 4.13123i) q^{88} +(0.370541 + 0.641796i) q^{89} +(-2.61715 - 6.86079i) q^{90} +(3.77109 + 7.54835i) q^{91} +(-0.411188 - 0.375989i) q^{92} +(9.24902 - 11.4420i) q^{93} +(1.70385 - 15.6338i) q^{94} +(-0.991876 + 1.71798i) q^{95} +(-1.70969 + 9.64764i) q^{96} +6.70748 q^{97} +(2.87330 + 9.47334i) q^{98} +(4.38516 + 0.222148i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.14092	−	0.835638i	−0.806756	−	0.590885i
$2$	−1.14092	−	0.835638i	−0.806756	−	0.590885i
$3$	−0.269460	+	1.71096i	−0.155573	+	0.987824i
$3$	−0.269460	+	1.71096i	−0.155573	+	0.987824i
$4$	0.603419	+	1.90680i	0.301709	+	0.953400i
$5$	−1.67179	−	0.447955i	−0.747648	−	0.200332i	−0.135173	−	0.990822i	$-0.543159\pi$
$5$	−1.67179	−	0.447955i	−0.747648	−	0.200332i	−0.612475	+	0.790490i	$0.709826\pi$
$6$	1.73718	−	1.72691i	0.709200	−	0.705007i
$7$	−0.837482	+	2.50971i	−0.316538	+	0.948580i
$7$	−0.837482	+	2.50971i	−0.316538	+	0.948580i
$8$	0.904939	−	2.67975i	0.319944	−	0.947436i
$9$	−2.85478	−	0.922073i	−0.951594	−	0.307358i
$10$	1.53306	+	1.90810i	0.484796	+	0.603393i
$11$	−1.41373	+	0.378806i	−0.426254	+	0.114214i	−0.465567	−	0.885012i	$-0.654150\pi$
$11$	−1.41373	+	0.378806i	−0.426254	+	0.114214i	0.0393131	+	0.999227i	$0.487483\pi$
$12$	−3.42506	+	0.518620i	−0.988730	+	0.149713i
$13$	2.25513	−	2.25513i	0.625461	−	0.625461i	−0.321462	−	0.946923i	$-0.604174\pi$
$13$	2.25513	−	2.25513i	0.625461	−	0.625461i	0.946923	+	0.321462i	$0.104174\pi$
$14$	3.05271	−	2.16355i	0.815871	−	0.578234i
$15$	1.21692	−	2.73967i	0.314206	−	0.707379i
$16$	−3.27177	+	2.30120i	−0.817943	+	0.575300i
$17$	−5.13312	−	2.96361i	−1.24496	−	0.718780i	−0.274863	−	0.961483i	$-0.588632\pi$
$17$	−5.13312	−	2.96361i	−1.24496	−	0.718780i	−0.970100	+	0.242704i	$0.921966\pi$
$18$	2.48657	+	3.43758i	0.586091	+	0.810245i
$19$	0.296651	−	1.10712i	0.0680564	−	0.253990i	−0.923513	−	0.383567i	$-0.874695\pi$
$19$	0.296651	−	1.10712i	0.0680564	−	0.253990i	0.991569	+	0.129577i	$0.0413621\pi$
$20$	−0.154630	−	3.45808i	−0.0345762	−	0.773249i
$21$	−4.06834	−	2.10917i	−0.887785	−	0.460258i
$22$	1.92950	+	0.749172i	0.411371	+	0.159724i
$23$	−0.241263	+	0.139294i	−0.0503069	+	0.0290447i	−0.524943	−	0.851138i	$-0.675913\pi$
$23$	−0.241263	+	0.139294i	−0.0503069	+	0.0290447i	0.474636	+	0.880182i	$0.342580\pi$
$24$	4.34111	+	2.27040i	0.886126	+	0.463444i
$25$	−1.73590	−	1.00222i	−0.347181	−	0.200445i
$26$	−4.45741	+	0.688462i	−0.874170	+	0.135019i
$27$	2.34688	−	4.63596i	0.451658	−	0.892191i
$28$	−5.29086	−	0.0825068i	−0.999878	−	0.0155923i
$29$	0.384836	+	0.384836i	0.0714623	+	0.0714623i	0.741935	−	0.670472i	$-0.233908\pi$
$29$	0.384836	+	0.384836i	0.0714623	+	0.0714623i	−0.670472	+	0.741935i	$0.733908\pi$
$30$	−3.67778	+	2.10885i	−0.671467	+	0.385022i
$31$	−7.35634	−	4.24719i	−1.32124	−	0.762817i	−0.337312	−	0.941393i	$-0.609518\pi$
$31$	−7.35634	−	4.24719i	−1.32124	−	0.762817i	−0.983926	+	0.178576i	$0.942851\pi$
$32$	5.65581	+	0.108522i	0.999816	+	0.0191842i
$33$	−0.267181	−	2.52090i	−0.0465102	−	0.438833i
$34$	3.38000	+	7.67068i	0.579665	+	1.31551i
$35$	2.52433	−	3.82055i	0.426690	−	0.645791i
$36$	0.0355792	−	5.99989i	0.00592987	−	0.999982i
$37$	−0.723993	+	2.70198i	−0.119024	+	0.444202i	−0.999556	−	0.0297830i	$-0.990518\pi$
$37$	−0.723993	+	2.70198i	−0.119024	+	0.444202i	0.880533	+	0.473985i	$0.157185\pi$
$38$	−1.26360	+	1.01524i	−0.204984	+	0.164694i
$39$	3.25078	+	4.46611i	0.520541	+	0.715151i
$40$	−2.71328	+	4.07462i	−0.429007	+	0.644254i
$41$	−9.27488			−1.44849			−0.724246	−	0.689541i	$-0.757812\pi$
$41$	−9.27488			−1.44849			−0.724246	+	0.689541i	$0.757812\pi$
$42$	2.87917	+	5.80606i	0.444266	+	0.895895i
$43$	−4.36690	+	4.36690i	−0.665947	+	0.665947i	−0.956775	−	0.290828i	$-0.906069\pi$
$43$	−4.36690	+	4.36690i	−0.665947	+	0.665947i	0.290828	+	0.956775i	$0.406069\pi$
$44$	−1.57538	−	2.46711i	−0.237497	−	0.371931i
$45$	4.35955	+	2.82033i	0.649884	+	0.420430i
$46$	0.391662	+	0.0426854i	0.0577475	+	0.00629362i
$47$	5.56010	+	9.63038i	0.811024	+	1.40474i	0.912148	+	0.409862i	$0.134423\pi$
$47$	5.56010	+	9.63038i	0.811024	+	1.40474i	−0.101123	+	0.994874i	$0.532244\pi$
$48$	−3.05565	−	6.21796i	−0.441045	−	0.897485i
$49$	−5.59725	−	4.20367i	−0.799607	−	0.600524i
$50$	1.14304	+	2.59405i	0.161650	+	0.366854i
$51$	6.45379	−	7.98399i	0.903711	−	1.11798i
$52$	5.66087	+	2.93930i	0.785022	+	0.407607i
$53$	2.85638	+	10.6601i	0.392354	+	1.46428i	0.826241	+	0.563317i	$0.190475\pi$
$53$	2.85638	+	10.6601i	0.392354	+	1.46428i	−0.433887	+	0.900967i	$0.642858\pi$
$54$	−6.55160	+	3.32814i	−0.891560	+	0.452902i
$55$	2.53314			0.341569
$56$	5.96753	+	4.51538i	0.797444	+	0.603393i
$57$	1.81430	+	0.805882i	0.240310	+	0.106742i
$58$	−0.117485	−	0.760653i	−0.0154266	−	0.0998786i
$59$	−0.452667	+	0.121292i	−0.0589322	+	0.0157908i	−0.288165	−	0.957581i	$-0.593045\pi$
$59$	−0.452667	+	0.121292i	−0.0589322	+	0.0157908i	0.229232	+	0.973372i	$0.426378\pi$
$60$	5.95830	+	0.667249i	0.769214	+	0.0861415i
$61$	2.36803	+	0.634511i	0.303195	+	0.0812408i	0.407209	−	0.913335i	$-0.366502\pi$
$61$	2.36803	+	0.634511i	0.303195	+	0.0812408i	−0.104014	+	0.994576i	$0.533169\pi$
$62$	4.84392	+	10.9930i	0.615179	+	1.39611i
$63$	4.70496	−	6.39244i	0.592769	−	0.805372i
$64$	−6.36217	−	4.85003i	−0.795272	−	0.606253i
$65$	−4.78031	+	2.75991i	−0.592924	+	0.342325i
$66$	−1.80173	+	3.09943i	−0.221778	+	0.381513i
$67$	13.2293	−	3.54478i	1.61622	−	0.433064i	0.666330	−	0.745657i	$-0.267864\pi$
$67$	13.2293	−	3.54478i	1.61622	−	0.433064i	0.949887	+	0.312593i	$0.101197\pi$
$68$	2.55358	−	11.5761i	0.309668	−	1.40381i
$69$	−0.173315	−	0.450327i	−0.0208647	−	0.0542130i
$70$	−6.07267	+	2.24953i	−0.725823	+	0.268871i
$71$		−	5.13940i		−	0.609935i	−0.952363	−	0.304967i	$-0.901354\pi$
$71$		−	5.13940i		−	0.609935i	0.952363	−	0.304967i	$-0.0986455\pi$
$72$	−5.05433	+	6.81570i	−0.595659	+	0.803238i
$73$	−13.3299	−	7.69604i	−1.56015	−	0.900753i	−0.997241	−	0.0742346i	$-0.976349\pi$
$73$	−13.3299	−	7.69604i	−1.56015	−	0.900753i	−0.562909	−	0.826519i	$-0.690318\pi$
$74$	3.08390	−	2.47776i	0.358496	−	0.288034i
$75$	2.18253	−	2.70001i	0.252016	−	0.311770i
$76$	2.29005	−	0.102401i	0.262687	−	0.0117462i
$77$	0.233277	−	3.86528i	0.0265843	−	0.440489i
$78$	0.0231622	−	7.81197i	0.00262260	−	0.884532i
$79$	2.11016	−	1.21830i	0.237412	−	0.137070i	−0.376575	−	0.926386i	$-0.622898\pi$
$79$	2.11016	−	1.21830i	0.237412	−	0.137070i	0.613986	+	0.789317i	$0.289565\pi$
$80$	6.50055	−	2.38152i	0.726784	−	0.266262i
$81$	7.29956	+	5.26464i	0.811063	+	0.584959i
$82$	10.5819	+	7.75044i	1.16858	+	0.855893i
$83$	−2.72685	+	2.72685i	−0.299310	+	0.299310i	−0.840744	−	0.541433i	$-0.817882\pi$
$83$	−2.72685	+	2.72685i	−0.299310	+	0.299310i	0.541433	+	0.840744i	$0.317882\pi$
$84$	1.56684	−	9.03023i	0.170957	−	0.985279i
$85$	7.25394	+	7.25394i	0.786800	+	0.786800i
$86$	8.63146	−	1.33316i	0.930754	−	0.143758i
$87$	−0.762138	+	0.554742i	−0.0817098	+	0.0594746i
$88$	−0.264226	+	4.13123i	−0.0281666	+	0.440391i
$89$	0.370541	+	0.641796i	0.0392773	+	0.0680302i	0.884996	−	0.465599i	$-0.154161\pi$
$89$	0.370541	+	0.641796i	0.0392773	+	0.0680302i	−0.845719	+	0.533629i	$0.820828\pi$
$90$	−2.61715	−	6.86079i	−0.275872	−	0.723191i
$91$	3.77109	+	7.54835i	0.395317	+	0.791282i
$92$	−0.411188	−	0.375989i	−0.0428693	−	0.0391995i
$93$	9.24902	−	11.4420i	0.959078	−	1.18648i
$94$	1.70385	−	15.6338i	0.175739	−	1.61250i
$95$	−0.991876	+	1.71798i	−0.101764	+	0.176261i
$96$	−1.70969	+	9.64764i	−0.174495	+	0.984658i
$97$	6.70748			0.681041			0.340521	−	0.940237i	$-0.389397\pi$
$97$	6.70748			0.681041			0.340521	+	0.940237i	$0.389397\pi$
$98$	2.87330	+	9.47334i	0.290247	+	0.956952i
$99$	4.38516	+	0.222148i	0.440726	+	0.0223267i
$100$	0.863565	−	3.91478i	0.0863565	−	0.391478i
$101$	−2.10733	−	7.86464i	−0.209687	−	0.782561i	−0.987970	−	0.154648i	$-0.950576\pi$
$101$	−2.10733	−	7.86464i	−0.209687	−	0.782561i	0.778283	−	0.627914i	$-0.216091\pi$
$102$	−14.0350	+	3.71610i	−1.38967	+	0.367949i
$103$	−0.799691	−	1.38510i	−0.0787959	−	0.136478i	0.823935	−	0.566685i	$-0.191774\pi$
$103$	−0.799691	−	1.38510i	−0.0787959	−	0.136478i	−0.902731	+	0.430206i	$0.858441\pi$
$104$	−4.00245	−	8.08396i	−0.392472	−	0.792697i
$105$	5.85661	+	5.34852i	0.571547	+	0.521962i
$106$	5.64911	−	14.5493i	0.548690	−	1.41316i
$107$	−3.63782	+	13.5765i	−0.351681	+	1.31249i	0.532928	+	0.846161i	$0.321092\pi$
$107$	−3.63782	+	13.5765i	−0.351681	+	1.31249i	−0.884610	+	0.466332i	$0.845575\pi$
$108$	10.2560	+	1.67761i	0.986884	+	0.161428i
$109$	3.63979	+	13.5839i	0.348629	+	1.30110i	0.888316	+	0.459234i	$0.151876\pi$
$109$	3.63979	+	13.5839i	0.348629	+	1.30110i	−0.539687	+	0.841866i	$0.681457\pi$
$110$	−2.89012	−	2.11679i	−0.275563	−	0.201828i
$111$	−4.42789	−	1.96680i	−0.420277	−	0.186680i
$112$	−3.03528	−	10.1384i	−0.286807	−	0.957988i
$113$			1.31982i			0.124158i	0.998071	+	0.0620789i	$0.0197730\pi$
$113$			1.31982i			0.124158i	−0.998071	+	0.0620789i	$0.980227\pi$
$114$	−1.39655	−	2.43555i	−0.130799	−	0.228110i
$115$	0.465739	−	0.124795i	0.0434304	−	0.0116371i
$116$	−0.501588	+	0.966023i	−0.0465713	+	0.0896930i
$117$	−8.51731	+	4.35851i	−0.787425	+	0.402945i
$118$	0.617815	+	0.239881i	0.0568745	+	0.0220828i
$119$	11.7367	−	10.4006i	1.07590	−	0.953425i
$120$	−6.24040	−	5.74026i	−0.569668	−	0.524012i
$121$	−7.67116	+	4.42894i	−0.697378	+	0.402631i
$122$	−2.17152	−	2.70274i	−0.196600	−	0.244695i
$123$	2.49921	−	15.8690i	0.225346	−	1.43086i
$124$	3.65958	−	16.5899i	0.328640	−	1.48982i
$125$	8.57230	+	8.57230i	0.766730	+	0.766730i
$126$	−10.7098	+	3.36165i	−0.954103	+	0.299480i
$127$			15.7137i			1.39436i	0.716895	+	0.697181i	$0.245563\pi$
$127$			15.7137i			1.39436i	−0.716895	+	0.697181i	$0.754437\pi$
$128$	3.20589	+	10.8500i	0.283364	+	0.959013i
$129$	−6.29490	−	8.64832i	−0.554235	−	0.761442i
$130$	7.76026	+	0.845754i	0.680620	+	0.0741775i
$131$	−16.2761	−	4.36118i	−1.42205	−	0.381038i	−0.535841	−	0.844319i	$-0.680005\pi$
$131$	−16.2761	−	4.36118i	−1.42205	−	0.381038i	−0.886211	+	0.463281i	$0.846672\pi$
$132$	4.64564	−	2.03062i	0.404351	−	0.176743i
$133$	2.53010	+	1.67170i	0.219387	+	0.144954i
$134$	−18.0558	−	7.01058i	−1.55978	−	0.605622i
$135$	−6.00020	+	6.69906i	−0.516415	+	0.576564i
$136$	−12.5869	+	11.0736i	−1.07932	+	0.949554i
$137$	−2.20541	+	3.81988i	−0.188421	+	0.326355i	−0.944724	−	0.327867i	$-0.893670\pi$
$137$	−2.20541	+	3.81988i	−0.188421	+	0.326355i	0.756303	+	0.654222i	$0.227004\pi$
$138$	−0.178571	+	0.658618i	−0.0152009	+	0.0560653i
$139$	−6.75383	+	6.75383i	−0.572853	+	0.572853i	−0.932925	−	0.360072i	$-0.882752\pi$
$139$	−6.75383	+	6.75383i	−0.572853	+	0.572853i	0.360072	+	0.932925i	$0.382752\pi$
$140$	8.80825	+	2.50800i	0.744433	+	0.211965i
$141$	−17.9754	+	6.91812i	−1.51381	+	0.582611i
$142$	−4.29468	+	5.86367i	−0.360401	+	0.492068i
$143$	−2.33388	+	4.04240i	−0.195169	+	0.338042i
$144$	11.4621	−	3.55261i	0.955172	−	0.296051i
$145$	−0.470976	−	0.815755i	−0.0391125	−	0.0677448i
$146$	8.77735	+	19.9196i	0.726418	+	1.64856i
$147$	8.70055	−	8.44396i	0.717609	−	0.696446i
$148$	−5.58900	+	0.249915i	−0.459413	+	0.0205429i
$149$	−6.79913	−	1.82182i	−0.557007	−	0.149250i	−0.0306760	−	0.999529i	$-0.509766\pi$
$149$	−6.79913	−	1.82182i	−0.557007	−	0.149250i	−0.526331	+	0.850280i	$0.676433\pi$
$150$	−4.74633	+	1.25670i	−0.387536	+	0.102609i
$151$	−6.60554	+	11.4411i	−0.537551	+	0.931066i	0.461484	+	0.887148i	$0.347317\pi$
$151$	−6.60554	+	11.4411i	−0.537551	+	0.931066i	−0.999035	+	0.0439171i	$0.986016\pi$
$152$	−2.69835	−	1.79682i	−0.218865	−	0.145742i
$153$	11.9213	+	13.1936i	0.963777	+	1.06664i
$154$	−3.49612	+	4.21506i	−0.281726	+	0.339659i
$155$	10.3957	+	10.3957i	0.835004	+	0.835004i
$156$	−6.55441	+	8.89352i	−0.524772	+	0.712051i
$157$	−1.64017	−	6.12119i	−0.130900	−	0.488524i	0.869081	−	0.494669i	$-0.164711\pi$
$157$	−1.64017	−	6.12119i	−0.130900	−	0.488524i	−0.999981	+	0.00614483i	$0.998044\pi$
$158$	−3.42559	−	0.373339i	−0.272526	−	0.0297013i
$159$	−19.0088	+	2.01467i	−1.50749	+	0.159773i
$160$	−9.40673	−	2.71498i	−0.743667	−	0.214638i
$161$	−0.147532	−	0.722156i	−0.0116271	−	0.0569139i
$162$	−3.92892	−	12.1063i	−0.308685	−	0.951164i
$163$	3.18076	−	11.8707i	0.249136	−	0.929788i	−0.722123	−	0.691764i	$-0.756834\pi$
$163$	3.18076	−	11.8707i	0.249136	−	0.929788i	0.971259	−	0.238024i	$-0.0764997\pi$
$164$	−5.59664	−	17.6853i	−0.437024	−	1.38099i
$165$	−0.682581	+	4.33411i	−0.0531389	+	0.337410i
$166$	5.38979	−	0.832471i	0.418328	−	0.0646123i
$167$			7.94109i			0.614500i	0.951629	+	0.307250i	$0.0994087\pi$
$167$			7.94109i			0.614500i	−0.951629	+	0.307250i	$0.900591\pi$
$168$	−9.33365	+	8.99350i	−0.720107	+	0.693863i
$169$			2.82876i			0.217597i
$170$	−2.21453	−	14.3379i	−0.169847	−	1.09966i
$171$	−1.86771	+	2.88704i	−0.142828	+	0.220778i
$172$	−10.9619	−	5.69174i	−0.835836	−	0.433991i
$173$	−1.38005	+	5.15043i	−0.104923	+	0.391580i	−0.998336	−	0.0576565i	$-0.981637\pi$
$173$	−1.38005	+	5.15043i	−0.104923	+	0.391580i	0.893413	+	0.449236i	$0.148304\pi$
$174$	1.33311	+	0.00395261i	0.101062	+	0.000299647i
$175$	3.96908	−	3.51726i	0.300034	−	0.265880i
$176$	3.75368	−	4.49263i	0.282944	−	0.338645i
$177$	−0.0855498	−	0.807179i	−0.00643031	−	0.0606713i
$178$	0.113549	−	1.04188i	0.00851089	−	0.0780921i
$179$	−4.24583	−	15.8456i	−0.317348	−	1.18436i	−0.921784	−	0.387705i	$-0.873268\pi$
$179$	−4.24583	−	15.8456i	−0.317348	−	1.18436i	0.604436	−	0.796654i	$-0.293399\pi$
$180$	−2.74716	+	10.0146i	−0.204762	+	0.746447i
$181$	−17.6346	−	17.6346i	−1.31077	−	1.31077i	−0.920846	−	0.389927i	$-0.872500\pi$
$181$	−17.6346	−	17.6346i	−1.31077	−	1.31077i	−0.389927	−	0.920846i	$-0.627500\pi$
$182$	2.00516	−	11.7634i	0.148633	−	0.871958i
$183$	−1.72371	+	3.88063i	−0.127421	+	0.286864i
$184$	0.154944	+	0.772579i	0.0114226	+	0.0569553i
$185$	2.42073	−	4.19283i	0.177976	−	0.308263i
$186$	−20.1138	+	5.32560i	−1.47481	+	0.390492i
$187$	8.37945	+	2.24527i	0.612766	+	0.164190i
$188$	−15.0081	+	16.4132i	−1.09458	+	1.19705i
$189$	9.66943	+	9.77252i	0.703347	+	0.710846i
$190$	2.56727	−	1.13124i	0.186249	−	0.0820686i
$191$	0.473151	+	0.819522i	0.0342360	+	0.0592985i	0.882636	−	0.470058i	$-0.155767\pi$
$191$	0.473151	+	0.819522i	0.0342360	+	0.0592985i	−0.848400	+	0.529356i	$0.822434\pi$
$192$	10.0126	−	9.57855i	0.722595	−	0.691272i
$193$	13.0617	−	22.6234i	0.940198	−	1.62847i	0.175107	−	0.984549i	$-0.443973\pi$
$193$	13.0617	−	22.6234i	0.940198	−	1.62847i	0.765091	−	0.643922i	$-0.222694\pi$
$194$	−7.65273	−	5.60502i	−0.549434	−	0.402417i
$195$	−3.43400	−	8.92261i	−0.245914	−	0.638962i
$196$	4.63807	−	13.2094i	0.331291	−	0.943529i
$197$	18.2123	−	18.2123i	1.29757	−	1.29757i	0.367582	−	0.929991i	$-0.380186\pi$
$197$	18.2123	−	18.2123i	1.29757	−	1.29757i	0.929991	−	0.367582i	$-0.119814\pi$
$198$	−4.81751	−	3.91786i	−0.342365	−	0.278430i
$199$	−7.80913	+	13.5258i	−0.553575	+	0.958819i	0.444438	+	0.895809i	$0.353403\pi$
$199$	−7.80913	+	13.5258i	−0.553575	+	0.958819i	−0.998013	+	0.0630098i	$0.979930\pi$
$200$	−4.25660	+	3.74485i	−0.300987	+	0.264801i
$201$	2.50021	+	23.5900i	0.176352	+	1.66391i
$202$	−4.16770	+	10.7339i	−0.293238	+	0.755237i
$203$	−1.28812	+	0.643532i	−0.0904082	+	0.0451671i
$204$	19.1182	+	7.48839i	1.33854	+	0.524292i
$205$	15.5057	+	4.15473i	1.08296	+	0.290179i
$206$	−0.245059	+	2.24855i	−0.0170741	+	0.156664i
$207$	0.817194	−	0.175190i	0.0567989	−	0.0121766i
$208$	−2.18877	+	12.5678i	−0.151764	+	0.871419i
$209$			1.67753i			0.116037i
$210$	−2.21252	−	10.9963i	−0.152679	−	0.758814i
$211$	4.55276	+	4.55276i	0.313425	+	0.313425i	0.846235	−	0.532810i	$-0.178864\pi$
$211$	4.55276	+	4.55276i	0.313425	+	0.313425i	−0.532810	+	0.846235i	$0.678864\pi$
$212$	−18.6032	+	11.8791i	−1.27767	+	0.815858i
$213$	8.79332	+	1.38486i	0.602508	+	0.0948894i
$214$	15.4955	−	12.4499i	1.05925	−	0.851058i
$215$	9.25673	−	5.34438i	0.631304	−	0.364483i
$216$	−10.2995	−	10.4843i	−0.700789	−	0.713368i
$217$	16.8200	−	14.9053i	1.14182	−	1.01184i
$218$	7.19848	−	18.5397i	0.487542	−	1.25567i
$219$	16.7595	−	20.7332i	1.13250	−	1.40102i
$220$	1.52855	+	4.83019i	0.103055	+	0.325652i
$221$	−18.2592	+	4.89253i	−1.22824	+	0.329107i
$222$	3.40836	+	5.94409i	0.228754	+	0.398941i
$223$			17.2126i			1.15264i	0.817225	+	0.576319i	$0.195512\pi$
$223$			17.2126i			1.15264i	−0.817225	+	0.576319i	$0.804488\pi$
$224$	−5.00900	+	14.1035i	−0.334678	+	0.942333i
$225$	4.03150	+	4.46176i	0.268767	+	0.297451i
$226$	1.10289	−	1.50581i	0.0733630	−	0.100165i
$227$	5.75351	+	21.4724i	0.381874	+	1.42517i	0.843036	+	0.537858i	$0.180766\pi$
$227$	5.75351	+	21.4724i	0.381874	+	1.42517i	−0.461162	+	0.887316i	$0.652567\pi$
$228$	−0.441875	+	3.94579i	−0.0292639	+	0.261316i
$229$	3.56749	−	13.3140i	0.235746	−	0.879816i	−0.742065	−	0.670328i	$-0.766153\pi$
$229$	3.56749	−	13.3140i	0.235746	−	0.879816i	0.977811	−	0.209489i	$-0.0671799\pi$
$230$	−0.635657	−	0.246808i	−0.0419140	−	0.0162741i
$231$	6.55048	+	1.44067i	0.430990	+	0.0947889i
$232$	1.37952	−	0.683013i	0.0905699	−	0.0448420i
$233$	−8.83408	−	15.3011i	−0.578740	−	1.00241i	−0.995624	−	0.0934476i	$-0.970211\pi$
$233$	−8.83408	−	15.3011i	−0.578740	−	1.00241i	0.416884	−	0.908960i	$-0.363122\pi$
$234$	13.3597	+	2.14465i	0.873354	+	0.140200i
$235$	−4.98135	−	18.5907i	−0.324948	−	1.21272i
$236$	−0.504427	−	0.789956i	−0.0328354	−	0.0514217i
$237$	1.51586	+	3.93869i	0.0984659	+	0.255845i
$238$	−22.0818	+	2.05875i	−1.43135	+	0.133449i
$239$	−13.2198			−0.855116			−0.427558	−	0.903988i	$-0.640626\pi$
$239$	−13.2198			−0.855116			−0.427558	+	0.903988i	$0.640626\pi$
$240$	2.32304	+	11.7639i	0.149952	+	0.759358i
$241$	2.38716	−	4.13469i	0.153771	−	0.266339i	−0.778840	−	0.627223i	$-0.784192\pi$
$241$	2.38716	−	4.13469i	0.153771	−	0.266339i	0.932611	+	0.360884i	$0.117525\pi$
$242$	12.4532	+	1.35722i	0.800522	+	0.0872451i
$243$	−10.9745	+	11.0707i	−0.704017	+	0.710183i
$244$	0.219027	+	4.89823i	0.0140218	+	0.313577i
$245$	7.47438	+	9.53497i	0.477520	+	0.609167i
$246$	−16.1121	+	16.0169i	−1.02727	+	1.02120i
$247$	−1.82771	−	3.16568i	−0.116294	−	0.201427i
$248$	−18.0385	+	15.8697i	−1.14544	+	1.00773i
$249$	−3.93076	−	5.40031i	−0.249102	−	0.342231i
$250$	−2.61701	−	16.9437i	−0.165514	−	1.07161i
$251$	−14.4352	−	14.4352i	−0.911140	−	0.911140i	0.0852223	−	0.996362i	$-0.472840\pi$
$251$	−14.4352	−	14.4352i	−0.911140	−	0.911140i	−0.996362	+	0.0852223i	$0.972840\pi$
$252$	15.0282	+	5.11410i	0.946686	+	0.322158i
$253$	0.288315	−	0.288315i	0.0181262	−	0.0181262i
$254$	13.1309	−	17.9281i	0.823908	−	1.12491i
$255$	−14.3659	+	10.4566i	−0.899625	+	0.654815i
$256$	5.40898	−	15.0580i	0.338061	−	0.941124i
$257$	6.54361	−	3.77796i	0.408179	−	0.235662i	−0.281828	−	0.959465i	$-0.590941\pi$
$257$	6.54361	−	3.77796i	0.408179	−	0.235662i	0.690007	+	0.723803i	$0.257607\pi$
$258$	−0.0448520	+	15.1273i	−0.00279236	+	0.941787i
$259$	−6.17484	−	4.07987i	−0.383686	−	0.253511i
$260$	−8.14713	−	7.44971i	−0.505263	−	0.462011i
$261$	−0.743776	−	1.45347i	−0.0460386	−	0.0899676i
$262$	14.9255	+	18.5767i	0.922099	+	1.14767i
$263$	−18.4912	−	10.6759i	−1.14022	−	0.658305i	−0.193733	−	0.981054i	$-0.562059\pi$
$263$	−18.4912	−	10.6759i	−1.14022	−	0.658305i	−0.946484	+	0.322750i	$0.895393\pi$
$264$	−6.99718	−	1.56528i	−0.430647	−	0.0963366i
$265$		−	19.1011i		−	1.17337i
$266$	−1.48972	−	4.02152i	−0.0913404	−	0.246575i
$267$	−1.19793	+	0.461043i	−0.0733124	+	0.0282154i
$268$	14.7420	+	23.0867i	0.900511	+	1.41024i
$269$	6.55040	−	1.75518i	0.399385	−	0.107015i	−0.0535351	−	0.998566i	$-0.517049\pi$
$269$	6.55040	−	1.75518i	0.399385	−	0.107015i	0.452920	+	0.891551i	$0.350382\pi$
$270$	12.4438	−	2.62913i	0.757304	−	0.160004i
$271$	−1.86164	+	1.07482i	−0.113086	+	0.0652905i	−0.555476	−	0.831532i	$-0.687464\pi$
$271$	−1.86164	+	1.07482i	−0.113086	+	0.0652905i	0.442390	+	0.896823i	$0.354131\pi$
$272$	23.6142	−	2.11608i	1.43182	−	0.128306i
$273$	−13.9311	+	4.41820i	−0.843149	+	0.267402i
$274$	5.70825	−	2.51527i	0.344848	−	0.151953i
$275$	2.83374	+	0.759299i	0.170881	+	0.0457874i
$276$	0.754101	−	0.602213i	0.0453916	−	0.0362489i
$277$	−14.1373	+	3.78808i	−0.849429	+	0.227604i	−0.657172	−	0.753741i	$-0.728247\pi$
$277$	−14.1373	+	3.78808i	−0.849429	+	0.227604i	−0.192257	+	0.981345i	$0.561581\pi$
$278$	13.3494	−	2.06186i	0.800642	−	0.123662i
$279$	17.0845	+	18.9079i	1.02282	+	1.13198i
$280$	−7.95377	−	10.2220i	−0.475329	−	0.610878i
$281$	13.0022			0.775648			0.387824	−	0.921733i	$-0.373227\pi$
$281$	13.0022			0.775648			0.387824	+	0.921733i	$0.373227\pi$
$282$	26.2897	+	7.12791i	1.56553	+	0.424461i
$283$	−0.359499	−	1.34167i	−0.0213700	−	0.0797540i	0.954417	−	0.298475i	$-0.0964781\pi$
$283$	−0.359499	−	1.34167i	−0.0213700	−	0.0797540i	−0.975787	+	0.218721i	$0.929811\pi$
$284$	9.79981	−	3.10121i	0.581512	−	0.184023i
$285$	−2.67213	−	2.15999i	−0.158283	−	0.127947i
$286$	6.04076	−	2.66179i	0.357198	−	0.157395i
$287$	7.76755	−	23.2772i	0.458504	−	1.37401i
$288$	−16.0460	−	5.52488i	−0.945523	−	0.325557i
$289$	9.06591	+	15.7026i	0.533289	+	0.923684i
$290$	−0.144327	+	1.32428i	−0.00847518	+	0.0777644i
$291$	−1.80740	+	11.4762i	−0.105952	+	0.672749i
$292$	6.63127	−	30.0614i	0.388066	−	1.75921i
$293$	16.4494	−	16.4494i	0.960986	−	0.960986i	−0.0382806	−	0.999267i	$-0.512188\pi$
$293$	16.4494	−	16.4494i	0.960986	−	0.960986i	0.999267	+	0.0382806i	$0.0121881\pi$
$294$	−16.9828	+	2.36341i	−0.990455	+	0.137837i
$295$	0.811098			0.0472240
$296$	6.58547	+	4.38525i	0.382773	+	0.254887i
$297$	−1.56171	+	7.44299i	−0.0906199	+	0.431886i
$298$	6.23492	+	7.76018i	0.361179	+	0.449535i
$299$	−0.229956	+	0.858206i	−0.0132987	+	0.0496314i
$300$	6.46535	+	2.53241i	0.373277	+	0.146209i
$301$	−7.30244	−	14.6169i	−0.420906	−	0.842501i
$302$	17.0971	−	7.53363i	0.983825	−	0.433512i
$303$	14.0239	−	1.48634i	0.805655	−	0.0853882i
$304$	1.57712	+	4.30488i	0.0904540	+	0.246902i
$305$	−3.67462	−	2.12154i	−0.210408	−	0.121479i
$306$	−2.57623	−	25.0147i	−0.147273	−	1.43000i
$307$	5.44745	+	5.44745i	0.310903	+	0.310903i	0.845259	−	0.534357i	$-0.179446\pi$
$307$	5.44745	+	5.44745i	0.310903	+	0.310903i	−0.534357	+	0.845259i	$0.679446\pi$
$308$	7.51107	−	1.88757i	0.427983	−	0.107554i
$309$	2.58535	−	0.995009i	0.147075	−	0.0566041i
$310$	−3.17368	−	20.5478i	−0.180253	−	1.16704i
$311$	19.6424	+	11.3405i	1.11382	+	0.643063i	0.939816	−	0.341682i	$-0.110997\pi$
$311$	19.6424	+	11.3405i	1.11382	+	0.643063i	0.174002	+	0.984745i	$0.444330\pi$
$312$	14.9098	−	4.66973i	0.844104	−	0.264371i
$313$	−8.95518	+	5.17027i	−0.506177	+	0.292241i	−0.731261	−	0.682098i	$-0.761068\pi$
$313$	−8.95518	+	5.17027i	−0.506177	+	0.292241i	0.225084	+	0.974339i	$0.427734\pi$
$314$	−3.24379	+	8.35440i	−0.183058	+	0.471466i
$315$	−10.7292	+	8.57922i	−0.604524	+	0.483384i
$316$	3.59637	+	3.28851i	0.202311	+	0.184993i
$317$	−1.84713	+	6.89356i	−0.103745	+	0.387181i	−0.998200	−	0.0599771i	$-0.980897\pi$
$317$	−1.84713	+	6.89356i	−0.103745	+	0.387181i	0.894455	+	0.447158i	$0.147564\pi$
$318$	23.3711	+	13.5859i	1.31059	+	0.761858i
$319$	−0.689831	−	0.398274i	−0.0386231	−	0.0222991i
$320$	8.46363	+	10.9582i	0.473131	+	0.612582i
$321$	−22.2487	−	9.88251i	−1.24180	−	0.551588i
$322$	−0.435138	+	0.947209i	−0.0242493	+	0.0527859i
$323$	−4.80380	+	4.80380i	−0.267290	+	0.267290i
$324$	−5.63391	+	17.0956i	−0.312995	+	0.949755i
$325$	−6.17484	+	1.65454i	−0.342519	+	0.0917776i
$326$	−13.5486	+	10.8857i	−0.750390	+	0.602901i
$327$	−24.2223	+	2.56722i	−1.33949	+	0.141968i
$328$	−8.39320	+	24.8544i	−0.463437	+	1.37236i
$329$	−28.8259	+	5.88895i	−1.58922	+	0.324668i
$330$	4.40052	−	4.37450i	0.242241	−	0.240808i
$331$	0.977678	+	0.261968i	0.0537380	+	0.0143991i	0.285588	−	0.958353i	$-0.407811\pi$
$331$	0.977678	+	0.261968i	0.0537380	+	0.0143991i	−0.231850	+	0.972752i	$0.574478\pi$
$332$	−6.84498	−	3.55412i	−0.375667	−	0.195058i
$333$	4.55826	−	7.04598i	0.249791	−	0.386118i
$334$	6.63587	−	9.06018i	0.363099	−	0.495751i
$335$	−23.7046			−1.29512
$336$	18.1643	−	2.46135i	0.990944	−	0.134278i
$337$	−25.0265			−1.36328			−0.681640	−	0.731687i	$-0.738733\pi$
$337$	−25.0265			−1.36328			−0.681640	+	0.731687i	$0.738733\pi$
$338$	2.36382	−	3.22740i	0.128575	−	0.175547i
$339$	−2.25815	−	0.355638i	−0.122646	−	0.0193156i
$340$	−9.45464	+	18.2090i	−0.512750	+	0.987520i
$341$	12.0087	+	3.21772i	0.650308	+	0.174249i
$342$	4.54344	−	1.73316i	0.245681	−	0.0937187i
$343$	15.2376	−	10.5269i	0.822751	−	0.568402i
$344$	7.75045	+	15.6540i	0.417876	+	0.844008i
$345$	0.0880203	+	0.830490i	0.00473886	+	0.0447121i
$346$	5.87843	−	4.72303i	0.316026	−	0.253911i
$347$	18.9776	−	5.08504i	1.01877	−	0.272979i	0.289481	−	0.957184i	$-0.406517\pi$
$347$	18.9776	−	5.08504i	1.01877	−	0.272979i	0.729290	+	0.684205i	$0.239850\pi$
$348$	−1.51767	−	1.11850i	−0.0813557	−	0.0599581i
$349$	16.0909	−	16.0909i	0.861329	−	0.861329i	−0.130164	−	0.991493i	$-0.541550\pi$
$349$	16.0909	−	16.0909i	0.861329	−	0.861329i	0.991493	+	0.130164i	$0.0415503\pi$
$350$	−7.46758	+	0.696222i	−0.399159	+	0.0372146i
$351$	−5.16218	−	15.7472i	−0.275537	−	0.840525i
$352$	−8.03687	+	1.98904i	−0.428367	+	0.106016i
$353$	20.2121	+	11.6695i	1.07578	+	0.621102i	0.929755	−	0.368178i	$-0.120018\pi$
$353$	20.2121	+	11.6695i	1.07578	+	0.621102i	0.146026	+	0.989281i	$0.453352\pi$
$354$	−0.576904	+	0.992420i	−0.0306621	+	0.0527465i
$355$	−2.30222	+	8.59201i	−0.122189	+	0.456016i
$356$	−1.00018	+	1.09382i	−0.0530097	+	0.0579723i
$357$	14.6325	+	22.8836i	0.774436	+	1.21113i
$358$	−8.39704	+	21.6266i	−0.443798	+	1.14300i
$359$	8.41506	−	4.85844i	0.444130	−	0.256418i	−0.261218	−	0.965280i	$-0.584124\pi$
$359$	8.41506	−	4.85844i	0.444130	−	0.256418i	0.705348	+	0.708861i	$0.250791\pi$
$360$	11.5029	−	9.13031i	0.606257	−	0.481210i
$361$	15.3168	+	8.84315i	0.806146	+	0.465429i
$362$	5.38363	+	34.8560i	0.282957	+	1.83199i
$363$	−5.51068	−	14.3185i	−0.289236	−	0.751525i
$364$	−12.1177	+	11.7455i	−0.635137	+	0.615633i
$365$	18.8374	+	18.8374i	0.985994	+	0.985994i
$366$	5.20943	−	2.98711i	0.272301	−	0.156139i
$367$	−10.0225	−	5.78651i	−0.523172	−	0.302054i	0.215059	−	0.976601i	$-0.431005\pi$
$367$	−10.0225	−	5.78651i	−0.523172	−	0.302054i	−0.738232	+	0.674547i	$0.764339\pi$
$368$	0.468817	−	1.01093i	0.0244388	−	0.0526985i
$369$	26.4778	+	8.55212i	1.37838	+	0.445205i
$370$	−6.26556	+	2.76085i	−0.325731	+	0.143530i
$371$	−29.1460	−	1.75901i	−1.51318	−	0.0913234i
$372$	27.3986	+	10.7317i	1.42055	+	0.556414i
$373$	4.84765	−	18.0917i	0.251002	−	0.936751i	−0.719270	−	0.694731i	$-0.755523\pi$
$373$	4.84765	−	18.0917i	0.251002	−	0.936751i	0.970271	−	0.242020i	$-0.0778099\pi$
$374$	−7.68409	−	9.56386i	−0.397335	−	0.494536i
$375$	−16.9768	+	12.3570i	−0.876677	+	0.638112i
$376$	30.8386	−	6.18481i	1.59038	−	0.318957i
$377$	1.73571			0.0893937
$378$	−2.86580	−	19.2299i	−0.147401	−	0.989077i
$379$	−12.4605	+	12.4605i	−0.640053	+	0.640053i	−0.950568	−	0.310515i	$-0.899498\pi$
$379$	−12.4605	+	12.4605i	−0.640053	+	0.640053i	0.310515	+	0.950568i	$0.399498\pi$
$380$	−3.87436	−	0.854648i	−0.198751	−	0.0438425i
$381$	−26.8855	−	4.23421i	−1.37738	−	0.216925i
$382$	0.144994	−	1.33040i	0.00741851	−	0.0680690i
$383$	−2.63940	−	4.57158i	−0.134867	−	0.233597i	0.790680	−	0.612230i	$-0.209727\pi$
$383$	−2.63940	−	4.57158i	−0.134867	−	0.233597i	−0.925547	+	0.378634i	$0.876394\pi$
$384$	−19.4278	+	2.56152i	−0.991420	+	0.130717i
$385$	−2.12146	+	6.35744i	−0.108120	+	0.324005i
$386$	−33.8074	+	14.8968i	−1.72075	+	0.758229i
$387$	16.4932	−	8.43996i	0.838395	−	0.429027i
$388$	4.04742	+	12.7898i	0.205477	+	0.649305i
$389$	7.69350	+	28.7125i	0.390076	+	1.45578i	0.830008	+	0.557752i	$0.188336\pi$
$389$	7.69350	+	28.7125i	0.390076	+	1.45578i	−0.439932	+	0.898031i	$0.644997\pi$
$390$	−3.53814	+	13.0496i	−0.179160	+	0.660793i
$391$	1.65124			0.0835070
$392$	−16.3300	+	11.1952i	−0.824788	+	0.565443i
$393$	11.8476	−	26.6727i	0.597631	−	1.34546i
$394$	−35.9978	+	5.55998i	−1.81354	+	0.280108i
$395$	−4.07349	+	1.09149i	−0.204960	+	0.0549188i
$396$	2.22250	+	8.49568i	0.111685	+	0.426924i
$397$	−10.1507	−	2.71987i	−0.509449	−	0.136506i	−0.00506701	−	0.999987i	$-0.501613\pi$
$397$	−10.1507	−	2.71987i	−0.509449	−	0.136506i	−0.504382	+	0.863481i	$0.668280\pi$
$398$	20.2123	−	8.90633i	1.01315	−	0.446434i
$399$	−3.54197	+	3.87844i	−0.177320	+	0.194165i
$400$	7.98580	−	0.715609i	0.399290	−	0.0357805i
$401$	6.65489	−	3.84220i	0.332329	−	0.191870i	−0.324545	−	0.945870i	$-0.605211\pi$
$401$	6.65489	−	3.84220i	0.332329	−	0.191870i	0.656875	+	0.754000i	$0.271878\pi$
$402$	16.8602	−	29.0037i	0.840909	−	1.44657i
$403$	−26.1675	+	7.01156i	−1.30350	+	0.349271i
$404$	13.7247	−	8.76392i	0.682830	−	0.436021i
$405$	−9.84503	−	12.0712i	−0.489203	−	0.599825i
$406$	2.00741	+	0.342179i	0.0996259	+	0.0169821i
$407$		−	4.09411i		−	0.202937i
$408$	−15.5549	−	24.5196i	−0.770080	−	1.21390i
$409$	−7.98620	−	4.61084i	−0.394892	−	0.227991i	0.289385	−	0.957213i	$-0.406549\pi$
$409$	−7.98620	−	4.61084i	−0.394892	−	0.227991i	−0.684278	+	0.729221i	$0.739882\pi$
$410$	−14.2189	−	17.6974i	−0.702224	−	0.874010i
$411$	−5.94140	−	4.80268i	−0.293068	−	0.236899i
$412$	2.15857	−	2.36065i	0.106345	−	0.116301i
$413$	0.0746938	−	1.23764i	0.00367544	−	0.0609003i
$414$	−1.07875	−	0.482999i	−0.0530178	−	0.0237381i
$415$	5.78023	−	3.33722i	0.283740	−	0.163817i
$416$	12.9993	−	12.5099i	0.637345	−	0.613347i
$417$	−9.73566	−	13.3754i	−0.476757	−	0.654998i
$418$	1.40181	−	1.91394i	0.0685647	−	0.0936137i
$419$	−9.16970	+	9.16970i	−0.447969	+	0.447969i	−0.894679	−	0.446710i	$-0.852596\pi$
$419$	−9.16970	+	9.16970i	−0.447969	+	0.447969i	0.446710	+	0.894679i	$0.352596\pi$
$420$	−6.66457	+	14.3948i	−0.325198	+	0.702393i
$421$	15.7654	+	15.7654i	0.768358	+	0.768358i	0.977817	−	0.209459i	$-0.0671703\pi$
$421$	15.7654	+	15.7654i	0.768358	+	0.768358i	−0.209459	+	0.977817i	$0.567170\pi$
$422$	−1.38990	−	8.99882i	−0.0676592	−	0.438056i
$423$	−6.99297	−	32.6195i	−0.340010	−	1.58601i
$424$	31.1514	+	1.99239i	1.51285	+	0.0967588i
$425$	5.94040	+	10.2891i	0.288152	+	0.499093i
$426$	−8.87527	−	8.92806i	−0.430008	−	0.432566i
$427$	−3.57562	+	5.41166i	−0.173036	+	0.261889i
$428$	−28.0829	+	1.25574i	−1.35744	+	0.0606985i
$429$	−6.28750	−	5.08244i	−0.303563	−	0.245383i
$430$	−15.0272	−	1.63774i	−0.724676	−	0.0789790i
$431$	16.2449	−	28.1369i	0.782488	−	1.35531i	−0.148001	−	0.988987i	$-0.547284\pi$
$431$	16.2449	−	28.1369i	0.782488	−	1.35531i	0.930488	−	0.366321i	$-0.119383\pi$
$432$	2.98980	+	20.5684i	0.143847	+	0.989600i
$433$	12.4424			0.597945			0.298973	−	0.954262i	$-0.403356\pi$
$433$	12.4424			0.597945			0.298973	+	0.954262i	$0.403356\pi$
$434$	−31.6458	+	2.95042i	−1.51905	+	0.141625i
$435$	1.52264	−	0.586009i	0.0730048	−	0.0280970i
$436$	−23.7054	+	15.1371i	−1.13528	+	0.724936i
$437$	0.0826431	+	0.308428i	0.00395335	+	0.0147541i
$438$	−36.4468	+	9.65017i	−1.74150	+	0.461103i
$439$	−16.6706	−	28.8742i	−0.795642	−	1.37809i	−0.922431	−	0.386163i	$-0.873800\pi$
$439$	−16.6706	−	28.8742i	−0.795642	−	1.37809i	0.126789	−	0.991930i	$-0.459533\pi$
$440$	2.29234	−	6.78820i	0.109283	−	0.323615i
$441$	12.1028	+	17.1616i	0.576325	+	0.817220i
$442$	24.9207	+	9.67605i	1.18536	+	0.460243i
$443$	−3.83638	+	14.3176i	−0.182272	+	0.680249i	0.812926	+	0.582367i	$0.197873\pi$
$443$	−3.83638	+	14.3176i	−0.182272	+	0.680249i	−0.995198	+	0.0978817i	$0.968793\pi$
$444$	1.07842	−	9.62991i	0.0511795	−	0.457015i
$445$	−0.331972	−	1.23893i	−0.0157370	−	0.0587311i
$446$	14.3835	−	19.6382i	0.681077	−	0.929898i
$447$	4.94917	−	11.1422i	0.234088	−	0.527006i
$448$	17.5003	−	11.9054i	0.826814	−	0.562476i
$449$		−	7.57904i		−	0.357677i	−0.983878	−	0.178838i	$-0.942766\pi$
$449$		−	7.57904i		−	0.357677i	0.983878	−	0.178838i	$-0.0572340\pi$
$450$	−0.871224	−	8.45942i	−0.0410699	−	0.398781i
$451$	13.1121	−	3.51338i	0.617426	−	0.165439i
$452$	−2.51662	+	0.796402i	−0.118372	+	0.0374596i
$453$	−17.7954	−	14.3848i	−0.836101	−	0.675855i
$454$	11.3788	−	29.3063i	0.534035	−	1.37541i
$455$	−2.92315	−	14.3085i	−0.137039	−	0.670795i
$456$	3.80139	−	4.13260i	0.178017	−	0.193527i
$457$	7.26557	−	4.19478i	0.339869	−	0.196223i	−0.320345	−	0.947301i	$-0.603799\pi$
$457$	7.26557	−	4.19478i	0.339869	−	0.196223i	0.660214	+	0.751078i	$0.270466\pi$
$458$	−15.1959	+	12.2092i	−0.710060	+	0.570498i
$459$	−25.7860	+	16.8417i	−1.20359	+	0.786103i
$460$	0.518994	+	0.812769i	0.0241982	+	0.0378955i
$461$	−1.36819	−	1.36819i	−0.0637228	−	0.0637228i	0.674527	−	0.738250i	$-0.264348\pi$
$461$	−1.36819	−	1.36819i	−0.0637228	−	0.0637228i	−0.738250	+	0.674527i	$0.764348\pi$
$462$	−6.26974	−	7.11753i	−0.291694	−	0.331137i
$463$			0.752649i			0.0349786i	0.999847	+	0.0174893i	$0.00556730\pi$
$463$			0.752649i			0.0349786i	−0.999847	+	0.0174893i	$0.994433\pi$
$464$	−2.14468	−	0.373512i	−0.0995643	−	0.0173398i
$465$	−20.5879	+	14.9854i	−0.954742	+	0.694933i
$466$	−2.70714	+	24.8395i	−0.125406	+	1.15067i
$467$	−6.21635	−	1.66567i	−0.287658	−	0.0770778i	0.112105	−	0.993696i	$-0.464241\pi$
$467$	−6.21635	−	1.66567i	−0.287658	−	0.0770778i	−0.399763	+	0.916619i	$0.630908\pi$
$468$	−13.4503	−	13.6108i	−0.621741	−	0.629159i
$469$	−2.18295	+	36.1704i	−0.100799	+	1.67019i
$470$	−9.85171	+	25.3732i	−0.454426	+	1.17038i
$471$	10.9151	−	1.15685i	0.502941	−	0.0533047i
$472$	−0.0846036	+	1.32280i	−0.00389420	+	0.0608867i
$473$	4.51939	−	7.82781i	0.207802	−	0.359923i
$474$	1.56183	−	5.76046i	0.0717373	−	0.264587i
$475$	−1.62454	+	1.62454i	−0.0745388	+	0.0745388i
$476$	26.9141	+	16.1035i	1.23360	+	0.738104i
$477$	1.67510	−	33.0662i	0.0766974	−	1.51400i
$478$	15.0828	+	11.0469i	0.689869	+	0.505275i
$479$	10.6455	−	18.4385i	0.486405	−	0.842478i	−0.513473	−	0.858106i	$-0.671641\pi$
$479$	10.6455	−	18.4385i	0.486405	−	0.842478i	0.999878	+	0.0156280i	$0.00497474\pi$
$480$	7.17996	−	15.3630i	0.327719	−	0.701221i
$481$	4.46062	+	7.72602i	0.203387	+	0.352276i
$482$	−6.17868	+	2.72257i	−0.281431	+	0.124009i
$483$	1.27534	−	0.0578291i	0.0580298	−	0.00263132i
$484$	−13.0740	−	11.9548i	−0.594274	−	0.543402i
$485$	−11.2135	−	3.00465i	−0.509179	−	0.136434i
$486$	21.7722	−	3.46006i	0.987606	−	0.156951i
$487$	−10.5318	+	18.2416i	−0.477242	+	0.826608i	−0.999660	−	0.0260819i	$-0.991697\pi$
$487$	−10.5318	+	18.2416i	−0.477242	+	0.826608i	0.522418	+	0.852690i	$0.325030\pi$
$488$	3.84325	−	5.77154i	0.173976	−	0.261265i
$489$	19.4533	+	8.64085i	0.879709	+	0.390753i
$490$	−0.559919	−	17.1246i	−0.0252945	−	0.773609i
$491$	12.2723	+	12.2723i	0.553842	+	0.553842i	0.927547	−	0.373706i	$-0.121913\pi$
$491$	12.2723	+	12.2723i	0.553842	+	0.553842i	−0.373706	+	0.927547i	$0.621913\pi$
$492$	31.7670	−	4.81014i	1.43217	−	0.216858i
$493$	−0.834906	−	3.11591i	−0.0376023	−	0.140334i
$494$	−0.560086	+	5.13910i	−0.0251995	+	0.231219i
$495$	−7.23157	−	2.33574i	−0.325035	−	0.104984i
$496$	33.8419	−	3.03258i	1.51955	−	0.136167i
$497$	12.8984	+	4.30416i	0.578572	+	0.193068i
$498$	−0.0280072	+	9.44604i	−0.00125503	+	0.423287i
$499$	−7.84374	+	29.2732i	−0.351134	+	1.31045i	0.534146	+	0.845392i	$0.320633\pi$
$499$	−7.84374	+	29.2732i	−0.351134	+	1.31045i	−0.885280	+	0.465058i	$0.846034\pi$
$500$	−11.1730	+	21.5183i	−0.499670	+	0.962330i
$501$	−13.5869	−	2.13981i	−0.607018	−	0.0955996i
$502$	4.40687	+	28.5320i	0.196688	+	1.27345i
$503$		−	15.4599i		−	0.689322i	−0.938727	−	0.344661i	$-0.887994\pi$
$503$		−	15.4599i		−	0.689322i	0.938727	−	0.344661i	$-0.112006\pi$
$504$	−12.8725	−	18.3929i	−0.573386	−	0.819285i
$505$			14.0920i			0.627087i
$506$	−0.569873	+	0.0880188i	−0.0253339	+	0.00391291i
$507$	−4.83990	−	0.762238i	−0.214947	−	0.0338522i
$508$	−29.9628	+	9.48192i	−1.32938	+	0.420692i
$509$	2.13136	−	7.95434i	0.0944708	−	0.352570i	−0.902468	−	0.430757i	$-0.858247\pi$
$509$	2.13136	−	7.95434i	0.0944708	−	0.352570i	0.996939	+	0.0781873i	$0.0249132\pi$
$510$	25.1283	+	0.0745044i	1.11270	+	0.00329911i
$511$	30.4784	−	27.0089i	1.34828	−	1.19480i
$512$	−18.7543	+	12.6601i	−0.828829	+	0.559502i
$513$	−4.43634	−	3.97353i	−0.195869	−	0.175436i
$514$	−10.6228	−	1.15773i	−0.468550	−	0.0510651i
$515$	0.716451	+	2.67383i	0.0315706	+	0.117823i
$516$	12.6921	−	17.2217i	0.558741	−	0.758142i
$517$	−11.5085	−	11.5085i	−0.506144	−	0.506144i
$518$	3.63574	+	9.81475i	0.159745	+	0.431235i
$519$	−8.44032	−	3.74905i	−0.370489	−	0.164565i
$520$	3.07000	+	15.3076i	0.134629	+	0.671283i
$521$	15.7465	−	27.2737i	0.689866	−	1.19488i	−0.282014	−	0.959410i	$-0.591003\pi$
$521$	15.7465	−	27.2737i	0.689866	−	1.19488i	0.971881	−	0.235473i	$-0.0756640\pi$
$522$	−0.365982	+	2.27983i	−0.0160186	+	0.0997854i
$523$	38.7627	+	10.3864i	1.69497	+	0.454167i	0.971666	−	0.236359i	$-0.0759541\pi$
$523$	38.7627	+	10.3864i	1.69497	+	0.454167i	0.723308	+	0.690526i	$0.242621\pi$
$524$	−1.50543	−	33.6669i	−0.0657652	−	1.47075i
$525$	4.94840	+	7.73871i	0.215966	+	0.337745i
$526$	12.1759	+	27.6324i	0.530894	+	1.20483i
$527$	25.1740	+	43.6026i	1.09660	+	1.89936i
$528$	6.67525	+	7.63298i	0.290503	+	0.332183i
$529$	−11.4612	+	19.8514i	−0.498313	+	0.863103i
$530$	−15.9616	+	21.7929i	−0.693327	+	0.946622i
$531$	1.40411	+	0.0711305i	0.0609330	+	0.00308680i
$532$	−1.66088	+	5.83312i	−0.0720084	+	0.252898i
$533$	−20.9161	+	20.9161i	−0.905976	+	0.905976i
$534$	1.75202	+	0.475024i	0.0758172	+	0.0205563i
$535$	12.1634	−	21.0676i	0.525868	−	0.910830i
$536$	2.47256	−	38.6591i	0.106798	−	1.66982i
$537$	28.2554	−	2.99467i	1.21931	−	0.129230i
$538$	−8.94021	−	3.47124i	−0.385440	−	0.149656i
$539$	9.50535	+	3.82256i	0.409424	+	0.164649i
$540$	−16.3944	−	7.39884i	−0.705503	−	0.318395i
$541$	−41.3868	−	11.0896i	−1.77936	−	0.476778i	−0.788892	−	0.614532i	$-0.789345\pi$
$541$	−41.3868	−	11.0896i	−1.77936	−	0.476778i	−0.990466	+	0.137755i	$0.956011\pi$
$542$	3.02215	+	0.329369i	0.129812	+	0.0141476i
$543$	34.9241	−	25.4204i	1.49873	−	1.09089i
$544$	−28.7103	−	17.3187i	−1.23094	−	0.742531i
$545$		−	24.3399i		−	1.04261i
$546$	19.5864	+	6.60052i	0.838219	+	0.282476i
$547$	1.78032	+	1.78032i	0.0761212	+	0.0761212i	0.744142	−	0.668021i	$-0.232858\pi$
$547$	1.78032	+	1.78032i	0.0761212	+	0.0761212i	−0.668021	+	0.744142i	$0.732858\pi$
$548$	−8.61454	−	1.90029i	−0.367995	−	0.0811762i
$549$	−6.17514	−	3.99489i	−0.263549	−	0.170498i
$550$	−2.59859	−	3.23428i	−0.110804	−	0.137910i
$551$	0.540220	−	0.311896i	0.0230141	−	0.0132872i
$552$	−1.36360	+	0.0569237i	−0.0580389	+	0.00242283i
$553$	1.29036	+	6.31619i	0.0548716	+	0.268592i
$554$	19.2951	+	7.49176i	0.819769	+	0.318294i
$555$	6.52148	+	5.27158i	0.276821	+	0.223766i
$556$	−16.9536	−	8.80282i	−0.718993	−	0.373323i
$557$	1.37272	−	0.367818i	0.0581638	−	0.0155849i	−0.229620	−	0.973280i	$-0.573748\pi$
$557$	1.37272	−	0.367818i	0.0581638	−	0.0155849i	0.287784	+	0.957695i	$0.407082\pi$
$558$	−3.69204	−	35.8489i	−0.156296	−	1.51761i
$559$			19.6959i			0.833048i
$560$	0.532809	+	18.3090i	0.0225153	+	0.773694i
$561$	−6.09949	+	13.7319i	−0.257521	+	0.579761i
$562$	−14.8346	−	10.8652i	−0.625758	−	0.458319i
$563$	−2.06356	−	7.70130i	−0.0869686	−	0.324571i	0.908711	−	0.417426i	$-0.137068\pi$
$563$	−2.06356	−	7.70130i	−0.0869686	−	0.324571i	−0.995680	+	0.0928543i	$0.970401\pi$
$564$	−24.0382	−	30.1011i	−1.01219	−	1.26748i
$565$	0.591218	−	2.20646i	0.0248727	−	0.0928263i
$566$	−0.710988	+	1.83116i	−0.0298851	+	0.0769692i
$567$	−19.3259	+	13.9107i	−0.811613	+	0.584195i
$568$	−13.7723	−	4.65084i	−0.577874	−	0.195145i
$569$	−22.6243	−	39.1864i	−0.948458	−	1.64278i	−0.748674	−	0.662938i	$-0.769309\pi$
$569$	−22.6243	−	39.1864i	−0.948458	−	1.64278i	−0.199785	−	0.979840i	$-0.564024\pi$
$570$	1.24373	+	4.69732i	0.0520940	+	0.196749i
$571$	−12.2840	−	45.8445i	−0.514069	−	1.91853i	−0.370268	−	0.928925i	$-0.620734\pi$
$571$	−12.2840	−	45.8445i	−0.514069	−	1.91853i	−0.143801	−	0.989607i	$-0.545933\pi$
$572$	−9.11635	−	2.01098i	−0.381174	−	0.0840833i
$573$	−1.52967	+	0.588715i	−0.0639027	+	0.0245939i
$574$	−28.3135	+	20.0667i	−1.18178	+	0.837568i
$575$	0.558414			0.0232875
$576$	13.6905	+	19.7122i	0.570439	+	0.821340i
$577$	−14.9496	+	25.8934i	−0.622359	+	1.07796i	0.366686	+	0.930345i	$0.380492\pi$
$577$	−14.9496	+	25.8934i	−0.622359	+	1.07796i	−0.989045	+	0.147613i	$0.952841\pi$
$578$	2.77818	−	25.4913i	0.115557	−	1.06030i
$579$	35.1883	+	28.4441i	1.46237	+	1.18210i
$580$	1.27129	−	1.39030i	0.0527873	−	0.0577291i
$581$	−4.55990	−	9.12727i	−0.189177	−	0.378663i
$582$	11.6521	−	11.5832i	0.482995	−	0.480139i
$583$	−8.07627	−	13.9885i	−0.334485	−	0.579345i
$584$	−32.6863	+	28.7565i	−1.35257	+	1.18995i
$585$	16.1916	−	3.47116i	0.669439	−	0.143515i
$586$	−32.5133	+	5.02180i	−1.34311	+	0.207449i
$587$	3.16824	+	3.16824i	0.130767	+	0.130767i	0.769461	−	0.638694i	$-0.220525\pi$
$587$	3.16824	+	3.16824i	0.130767	+	0.130767i	−0.638694	+	0.769461i	$0.720525\pi$
$588$	21.3510	+	11.4950i	0.880501	+	0.474045i
$589$	−6.88439	+	6.88439i	−0.283666	+	0.283666i
$590$	−0.925402	−	0.677784i	−0.0380982	−	0.0279039i
$591$	26.2531	+	36.0681i	1.07991	+	1.48364i
$592$	−3.84905	−	10.5063i	−0.158195	−	0.431806i
$593$	−21.3807	+	12.3441i	−0.877998	+	0.506913i	−0.869998	−	0.493055i	$-0.835880\pi$
$593$	−21.3807	+	12.3441i	−0.877998	+	0.506913i	−0.00800041	+	0.999968i	$0.502547\pi$
$594$	8.00144	−	7.18686i	0.328303	−	0.294881i
$595$	−24.2803	+	12.1302i	−0.995395	+	0.497290i
$596$	−0.628875	−	14.0639i	−0.0257597	−	0.576080i
$597$	−21.0379	−	17.0058i	−0.861024	−	0.696001i
$598$	0.979512	−	0.786989i	0.0400552	−	0.0321824i
$599$	26.3414	+	15.2082i	1.07628	+	0.621391i	0.929891	−	0.367836i	$-0.119901\pi$
$599$	26.3414	+	15.2082i	1.07628	+	0.621391i	0.146390	+	0.989227i	$0.453234\pi$
$600$	−5.26030	−	8.29198i	−0.214751	−	0.338518i
$601$			39.7379i			1.62094i	0.585779	+	0.810471i	$0.300789\pi$
$601$			39.7379i			1.62094i	−0.585779	+	0.810471i	$0.699211\pi$
$602$	−3.88286	+	22.7789i	−0.158253	+	0.928400i
$603$	−41.0354	−	2.07881i	−1.67109	−	0.0846556i
$604$	−25.8018	−	5.69165i	−1.04986	−	0.231590i
$605$	14.8085	−	3.96794i	0.602053	−	0.161320i
$606$	−17.2423	−	10.0231i	−0.700421	−	0.407162i
$607$	−7.44209	+	4.29669i	−0.302065	+	0.174397i	−0.643370	−	0.765555i	$-0.722464\pi$
$607$	−7.44209	+	4.29669i	−0.302065	+	0.174397i	0.341305	+	0.939953i	$0.389131\pi$
$608$	1.79795	−	6.22945i	0.0729164	−	0.252637i
$609$	−0.753962	−	2.37733i	−0.0305521	−	0.0963342i
$610$	2.41962	+	5.49117i	0.0979676	+	0.222331i
$611$	34.2566	+	9.17901i	1.38587	+	0.371343i
$612$	−17.9640	+	30.6927i	−0.726150	+	1.24068i
$613$	18.6424	−	4.99523i	0.752961	−	0.201755i	0.138130	−	0.990414i	$-0.455891\pi$
$613$	18.6424	−	4.99523i	0.752961	−	0.201755i	0.614831	+	0.788659i	$0.289224\pi$
$614$	−1.66304	−	10.7672i	−0.0671147	−	0.434530i
$615$	−11.2867	+	25.4101i	−0.455126	+	1.02463i
$616$	−10.1469	−	4.12296i	−0.408830	−	0.166119i
$617$	−30.7473			−1.23784			−0.618920	−	0.785454i	$-0.712429\pi$
$617$	−30.7473			−1.23784			−0.618920	+	0.785454i	$0.712429\pi$
$618$	−3.78115	−	1.02518i	−0.152100	−	0.0412389i
$619$	4.11279	+	15.3491i	0.165307	+	0.616934i	0.998001	+	0.0632004i	$0.0201307\pi$
$619$	4.11279	+	15.3491i	0.165307	+	0.616934i	−0.832694	+	0.553734i	$0.813203\pi$
$620$	−13.5496	+	26.0955i	−0.544164	+	1.04802i
$621$	0.0795424	+	1.44539i	0.00319193	+	0.0580017i
$622$	−12.9339	−	29.3526i	−0.518602	−	1.17693i
$623$	−1.92104	+	0.392456i	−0.0769649	+	0.0157234i
$624$	−20.9132	−	7.13142i	−0.837198	−	0.285485i
$625$	−5.47997	−	9.49158i	−0.219199	−	0.379663i
$626$	14.5377	+	1.58439i	0.581042	+	0.0633250i
$627$	−2.87019	−	0.452028i	−0.114624	−	0.0180523i
$628$	10.6822	−	6.82111i	0.426265	−	0.272192i
$629$	11.7239	−	11.7239i	0.467464	−	0.467464i
$630$	19.4104	−	0.822487i	0.773328	−	0.0327687i
$631$	48.8730			1.94561			0.972803	−	0.231636i	$-0.0744078\pi$
$631$	48.8730			1.94561			0.972803	+	0.231636i	$0.0744078\pi$
$632$	−1.35518	−	6.75720i	−0.0539063	−	0.268787i
$633$	−9.01639	+	6.56281i	−0.358369	+	0.260848i
$634$	7.86795	−	6.32151i	0.312476	−	0.251059i
$635$	7.03901	−	26.2700i	0.279335	−	1.04249i
$636$	−15.3118	−	35.0303i	−0.607153	−	1.38904i
$637$	−22.1024	+	3.14271i	−0.875727	+	0.124519i
$638$	0.454232	+	1.03085i	0.0179832	+	0.0408117i
$639$	−4.73890	+	14.6719i	−0.187468	+	0.580410i
$640$	−0.499279	−	19.5750i	−0.0197357	−	0.773770i
$641$	−27.2659	−	15.7420i	−1.07694	−	0.621770i	−0.146868	−	0.989156i	$-0.546919\pi$
$641$	−27.2659	−	15.7420i	−1.07694	−	0.621770i	−0.930068	+	0.367386i	$0.880253\pi$
$642$	17.1259	+	29.8670i	0.675904	+	1.17876i
$643$	2.91528	+	2.91528i	0.114968	+	0.114968i	0.762250	−	0.647283i	$-0.224095\pi$
$643$	2.91528	+	2.91528i	0.114968	+	0.114968i	−0.647283	+	0.762250i	$0.724095\pi$
$644$	1.28798	−	0.717077i	0.0507537	−	0.0282568i
$645$	6.64970	+	17.2780i	0.261832	+	0.680321i
$646$	9.49501	−	1.46654i	0.373576	−	0.0577001i
$647$	−16.8494	−	9.72799i	−0.662418	−	0.382447i	0.130780	−	0.991411i	$-0.458252\pi$
$647$	−16.8494	−	9.72799i	−0.662418	−	0.382447i	−0.793197	+	0.608964i	$0.791585\pi$
$648$	20.7136	−	14.7969i	0.813707	−	0.581276i
$649$	0.594001	−	0.342946i	0.0233166	−	0.0134618i
$650$	8.42763	+	3.27222i	0.330559	+	0.128347i
$651$	20.9701	+	32.7948i	0.821883	+	1.28533i
$652$	24.5545	−	1.09797i	0.961627	−	0.0429996i
$653$	−8.94281	+	33.3750i	−0.349959	+	1.30607i	0.536751	+	0.843741i	$0.319651\pi$
$653$	−8.94281	+	33.3750i	−0.349959	+	1.30607i	−0.886710	+	0.462325i	$0.847015\pi$
$654$	29.7811	+	17.3120i	1.16453	+	0.676954i
$655$	25.2567	+	14.5820i	0.986860	+	0.569764i
$656$	30.3453	−	21.3433i	1.18478	−	0.833317i
$657$	30.9577	+	34.2617i	1.20778	+	1.33668i
$658$	37.8092	+	17.3692i	1.47396	+	0.677121i
$659$	−9.93940	+	9.93940i	−0.387184	+	0.387184i	−0.873682	−	0.486498i	$-0.838274\pi$
$659$	−9.93940	+	9.93940i	−0.387184	+	0.387184i	0.486498	+	0.873682i	$0.338274\pi$
$660$	−8.67616	+	1.31374i	−0.337719	+	0.0511372i
$661$	20.5292	−	5.50079i	0.798495	−	0.213956i	0.163572	−	0.986531i	$-0.447698\pi$
$661$	20.5292	−	5.50079i	0.798495	−	0.213956i	0.634923	+	0.772575i	$0.281032\pi$
$662$	−0.896547	−	1.11587i	−0.0348453	−	0.0433695i
$663$	−3.45081	−	32.5591i	−0.134018	−	1.26449i
$664$	4.83965	+	9.77491i	0.187815	+	0.379340i
$665$	−3.48095	−	3.92810i	−0.134985	−	0.152325i
$666$	−11.0885	+	4.22988i	−0.429672	+	0.163905i
$667$	−0.146452	−	0.0392417i	−0.00567065	−	0.00151945i
$668$	−15.1421	+	4.79180i	−0.585864	+	0.185400i
$669$	−29.4501	−	4.63811i	−1.13860	−	0.179320i
$670$	27.0451	+	19.8084i	1.04484	+	0.765266i
$671$	−3.58810			−0.138517
$672$	−22.7809	−	12.3706i	−0.878792	−	0.477205i
$673$	5.69923			0.219689			0.109845	−	0.993949i	$-0.464965\pi$
$673$	5.69923			0.219689			0.109845	+	0.993949i	$0.464965\pi$
$674$	28.5534	+	20.9131i	1.09983	+	0.805542i
$675$	−8.72024	+	5.69548i	−0.335642	+	0.219219i
$676$	−5.39388	+	1.70693i	−0.207457	+	0.0656510i
$677$	8.64523	+	2.31648i	0.332263	+	0.0890296i	0.421094	−	0.907017i	$-0.361646\pi$
$677$	8.64523	+	2.31648i	0.332263	+	0.0890296i	−0.0888307	+	0.996047i	$0.528313\pi$
$678$	2.27920	+	2.29276i	0.0875321	+	0.0880527i
$679$	−5.61739	+	16.8338i	−0.215576	+	0.646022i
$680$	26.0031	−	12.8744i	0.997175	−	0.493711i
$681$	−38.2888	+	4.05808i	−1.46723	+	0.155506i
$682$	−11.0122	−	13.7061i	−0.421678	−	0.524834i
$683$	−38.7703	+	10.3885i	−1.48350	+	0.397504i	−0.907538	−	0.419970i	$-0.862041\pi$
$683$	−38.7703	+	10.3885i	−1.48350	+	0.397504i	−0.575966	+	0.817473i	$0.695374\pi$
$684$	−6.63202	−	1.81926i	−0.253582	−	0.0695613i
$685$	5.39812	−	5.39812i	0.206252	−	0.206252i
$686$	−26.1816	−	0.722627i	−0.999619	−	0.0275900i
$687$	21.8185	+	9.69144i	0.832428	+	0.369751i
$688$	4.23840	−	24.3366i	0.161588	−	0.927825i
$689$	30.4815	+	17.5985i	1.16125	+	0.670451i
$690$	0.593564	−	1.02108i	0.0225966	−	0.0388718i
$691$	7.25739	−	27.0849i	0.276084	−	1.03036i	−0.679028	−	0.734113i	$-0.737598\pi$
$691$	7.25739	−	27.0849i	0.276084	−	1.03036i	0.955112	−	0.296247i	$-0.0957350\pi$
$692$	−10.6536	+	0.476380i	−0.404988	+	0.0181093i
$693$	−4.23002	+	10.8194i	−0.160685	+	0.410996i
$694$	−25.9013	−	10.0568i	−0.983199	−	0.381750i
$695$	14.3164	−	8.26559i	0.543053	−	0.313532i
$696$	0.796884	+	2.54435i	0.0302058	+	0.0964434i
$697$	47.6090	+	27.4871i	1.80332	+	1.04115i
$698$	−31.8048	+	4.91236i	−1.20383	+	0.185935i
$699$	28.5600	−	10.9917i	1.08024	−	0.415746i
$700$	9.10174	+	5.44585i	0.344013	+	0.205834i
$701$	8.73609	+	8.73609i	0.329957	+	0.329957i	0.852570	−	0.522613i	$-0.175043\pi$
$701$	8.73609	+	8.73609i	0.329957	+	0.329957i	−0.522613	+	0.852570i	$0.675043\pi$
$702$	−7.26933	+	22.2801i	−0.274363	+	0.840909i
$703$	2.77663	+	1.60309i	0.104723	+	0.0604616i
$704$	10.8316	+	4.44657i	0.408231	+	0.167586i
$705$	33.1502	−	3.51346i	1.24851	−	0.132325i
$706$	−13.3090	−	30.2040i	−0.500892	−	1.13674i
$707$	21.5028	+	1.29773i	0.808696	+	0.0488063i
$708$	1.48751	−	0.650193i	0.0559039	−	0.0244358i
$709$	−6.65144	+	24.8235i	−0.249800	+	0.932266i	0.721110	+	0.692821i	$0.243632\pi$
$709$	−6.65144	+	24.8235i	−0.249800	+	0.932266i	−0.970910	+	0.239445i	$0.923034\pi$
$710$	9.80647	−	7.87901i	0.368030	−	0.295694i
$711$	−7.14741	+	1.53226i	−0.268049	+	0.0574644i
$712$	2.05517	−	0.412173i	0.0770208	−	0.0154468i
$713$	2.36642			0.0886232
$714$	2.42774	−	38.3359i	0.0908559	−	1.43469i
$715$	5.71257	−	5.71257i	0.213638	−	0.213638i
$716$	27.6524	−	17.6575i	1.03342	−	0.659892i
$717$	3.56220	−	22.6185i	0.133033	−	0.844704i
$718$	−13.6608	−	1.48883i	−0.509818	−	0.0555627i
$719$	16.6560	+	28.8490i	0.621162	+	1.07588i	0.989270	+	0.146101i	$0.0466726\pi$
$719$	16.6560	+	28.8490i	0.621162	+	1.07588i	−0.368107	+	0.929783i	$0.619994\pi$
$720$	−20.7536	+	0.804726i	−0.773441	+	0.0299904i
$721$	4.14593	−	0.846988i	0.154403	−	0.0315435i
$722$	−10.0856	−	22.8886i	−0.375348	−	0.851827i
$723$	6.43105	+	5.19848i	0.239173	+	0.193334i
$724$	22.9847	−	44.2668i	0.854218	−	1.64516i
$725$	−0.282346	−	1.05373i	−0.0104861	−	0.0391346i
$726$	−5.67779	+	20.9412i	−0.210723	+	0.777202i
$727$	−30.9591			−1.14821			−0.574104	−	0.818782i	$-0.694649\pi$
$727$	−30.9591			−1.14821			−0.574104	+	0.818782i	$0.694649\pi$
$728$	23.6403	−	3.27479i	0.876169	−	0.121372i
$729$	−15.9843	−	21.7601i	−0.592011	−	0.805930i
$730$	−5.75081	−	37.2333i	−0.212847	−	1.37806i
$731$	35.3576	−	9.47404i	1.30775	−	0.350410i
$732$	−8.43971	−	0.945133i	−0.311941	−	0.0349331i
$733$	−14.5090	−	3.88768i	−0.535903	−	0.143595i	−0.0192902	−	0.999814i	$-0.506141\pi$
$733$	−14.5090	−	3.88768i	−0.535903	−	0.143595i	−0.516613	+	0.856219i	$0.672807\pi$
$734$	6.59953	+	14.9772i	0.243593	+	0.552818i
$735$	−18.3280	+	10.2191i	−0.676039	+	0.376936i
$736$	−1.37966	+	0.761636i	−0.0508549	+	0.0280743i
$737$	−17.3598	+	10.0227i	−0.639457	+	0.369191i
$738$	−23.0627	−	31.8831i	−0.848948	−	1.17363i
$739$	−13.1965	+	3.53600i	−0.485442	+	0.130074i	−0.493236	−	0.869896i	$-0.664186\pi$
$739$	−13.1965	+	3.53600i	−0.485442	+	0.130074i	0.00779321	+	0.999970i	$0.497519\pi$
$740$	9.45560	+	2.08582i	0.347595	+	0.0766761i
$741$	5.90885	−	2.27411i	0.217067	−	0.0835415i
$742$	31.7835	+	26.3624i	1.16681	+	0.967794i
$743$		−	10.3472i		−	0.379602i	−0.981823	−	0.189801i	$-0.939216\pi$
$743$		−	10.3472i		−	0.379602i	0.981823	−	0.189801i	$-0.0607843\pi$
$744$	−22.2919	−	35.1394i	−0.817260	−	1.28827i
$745$	10.5506	+	6.09141i	0.386546	+	0.223172i
$746$	−20.6489	+	16.5903i	−0.756009	+	0.607416i
$747$	10.2989	−	5.27020i	0.376817	−	0.192827i
$748$	0.775043	+	17.3328i	0.0283384	+	0.633749i
$749$	−31.0265	−	20.5000i	−1.13368	−	0.749052i
$750$	29.6952	+	0.0880451i	1.08431	+	0.00321495i
$751$	−1.04524	+	0.603469i	−0.0381413	+	0.0220209i	−0.518949	−	0.854805i	$-0.673677\pi$
$751$	−1.04524	+	0.603469i	−0.0381413	+	0.0220209i	0.480808	+	0.876826i	$0.340343\pi$
$752$	−40.3528	−	18.7135i	−1.47152	−	0.682411i
$753$	28.5877	−	20.8083i	1.04179	−	0.758297i
$754$	−1.98032	−	1.45043i	−0.0721189	−	0.0528214i
$755$	16.1682	−	16.1682i	0.588421	−	0.588421i
$756$	−12.7995	+	24.3346i	−0.465514	+	0.885040i
$757$	8.97757	+	8.97757i	0.326295	+	0.326295i	0.851176	−	0.524881i	$-0.175890\pi$
$757$	8.97757	+	8.97757i	0.326295	+	0.326295i	−0.524881	+	0.851176i	$0.675890\pi$
$758$	24.6290	−	3.80403i	0.894564	−	0.138169i
$759$	0.415606	+	0.570985i	0.0150856	+	0.0207255i
$760$	3.70618	+	4.21265i	0.134437	+	0.152809i
$761$	−9.11404	−	15.7860i	−0.330384	−	0.572241i	0.652203	−	0.758044i	$-0.273845\pi$
$761$	−9.11404	−	15.7860i	−0.330384	−	0.572241i	−0.982587	+	0.185803i	$0.940511\pi$
$762$	27.1360	+	27.2974i	0.983035	+	0.988881i
$763$	−37.1398	−	2.24145i	−1.34455	−	0.0811461i
$764$	−1.27716	+	1.39672i	−0.0462059	+	0.0505315i
$765$	−14.0197	−	27.3971i	−0.506885	−	0.990543i
$766$	−0.808824	+	7.42141i	−0.0292240	+	0.268146i
$767$	−0.747295	+	1.29435i	−0.0269833	+	0.0467364i
$768$	24.3061	+	13.3121i	0.877072	+	0.480358i
$769$	−7.00487			−0.252602			−0.126301	−	0.991992i	$-0.540311\pi$
$769$	−7.00487			−0.252602			−0.126301	+	0.991992i	$0.540311\pi$
$770$	7.73295	−	5.48059i	0.278676	−	0.197507i
$771$	4.70070	+	12.2139i	0.169291	+	0.439872i
$772$	51.0200	+	11.2545i	1.83625	+	0.405060i
$773$	−5.20464	−	19.4240i	−0.187198	−	0.698632i	−0.994149	−	0.108014i	$-0.965551\pi$
$773$	−5.20464	−	19.4240i	−0.187198	−	0.698632i	0.806952	−	0.590618i	$-0.201116\pi$
$774$	−25.8702	−	4.15296i	−0.929885	−	0.149275i
$775$	8.51327	+	14.7454i	0.305806	+	0.529671i
$776$	6.06986	−	17.9744i	0.217895	−	0.645243i
$777$	8.64437	−	9.46555i	0.310115	−	0.339575i
$778$	15.2156	−	39.1878i	0.545505	−	1.40495i
$779$	−2.75140	+	10.2684i	−0.0985792	+	0.367902i
$780$	14.9415	−	11.9320i	0.534991	−	0.427235i
$781$	1.94684	+	7.26570i	0.0696634	+	0.259987i
$782$	−1.88395	−	1.37984i	−0.0673698	−	0.0493431i
$783$	2.68725	−	0.880920i	0.0960345	−	0.0314815i
$784$	27.9864	+	0.873064i	0.999514	+	0.0311808i
$785$			10.9681i			0.391467i
$786$	−35.8059	+	20.5312i	−1.27715	+	0.732325i
$787$	−17.4487	+	4.67535i	−0.621978	+	0.166658i	−0.556027	−	0.831164i	$-0.687675\pi$
$787$	−17.4487	+	4.67535i	−0.621978	+	0.166658i	−0.0659510	+	0.997823i	$0.521008\pi$
$788$	45.7169	+	23.7376i	1.62860	+	0.845616i
$789$	23.2487	−	28.7610i	0.827676	−	1.02392i
$790$	5.55964	+	2.15866i	0.197803	+	0.0768016i
$791$	−3.31235	−	1.10532i	−0.117774	−	0.0393007i
$792$	4.56361	−	11.5501i	0.162161	−	0.410416i
$793$	6.77112	−	3.90931i	0.240450	−	0.138824i
$794$	9.30835	+	11.5855i	0.330341	+	0.411153i
$795$	32.6812	+	5.14698i	1.15908	+	0.182545i
$796$	−30.5032	−	6.72872i	−1.08116	−	0.238493i
$797$	−11.1451	−	11.1451i	−0.394781	−	0.394781i	0.481606	−	0.876388i	$-0.340053\pi$
$797$	−11.1451	−	11.1451i	−0.394781	−	0.394781i	−0.876388	+	0.481606i	$0.840053\pi$
$798$	7.28209	−	1.46521i	0.257783	−	0.0518678i
$799$		−	65.9118i		−	2.33179i
$800$	−9.70919	−	5.85678i	−0.343272	−	0.207068i
$801$	−0.466031	−	2.17385i	−0.0164664	−	0.0768093i
$802$	−10.8034	−	1.17741i	−0.381482	−	0.0415759i
$803$	21.7602	+	5.83062i	0.767900	+	0.205758i
$804$	−43.4728	+	19.0021i	−1.53317	+	0.670152i
$805$	−0.0768509	+	1.27338i	−0.00270864	+	0.0448808i
$806$	35.7143	+	13.8669i	1.25798	+	0.488440i
$807$	1.23796	+	11.6804i	0.0435784	+	0.411171i
$808$	−22.9823	−	1.46990i	−0.808515	−	0.0517111i
$809$	2.96773	−	5.14027i	0.104340	−	0.180722i	−0.809128	−	0.587632i	$-0.800060\pi$
$809$	2.96773	−	5.14027i	0.104340	−	0.180722i	0.913468	+	0.406910i	$0.133394\pi$
$810$	1.14524	+	21.9993i	0.0402397	+	0.772975i
$811$	−2.98513	+	2.98513i	−0.104822	+	0.104822i	−0.757573	−	0.652751i	$-0.773615\pi$
$811$	−2.98513	+	2.98513i	−0.104822	+	0.104822i	0.652751	+	0.757573i	$0.273615\pi$
$812$	−2.00436	−	2.06787i	−0.0703393	−	0.0725678i
$813$	−1.33733	−	3.47481i	−0.0469023	−	0.121867i
$814$	−3.42119	+	4.67107i	−0.119913	+	0.163721i
$815$	−10.6351	+	18.4206i	−0.372532	+	0.645244i
$816$	−2.74257	+	40.9732i	−0.0960093	+	1.43435i
$817$	3.53922	+	6.13011i	0.123822	+	0.214466i
$818$	5.25867	+	11.9342i	0.183865	+	0.417269i
$819$	−3.80550	−	25.0261i	−0.132975	−	0.874483i
$820$	1.43417	+	32.0732i	0.0500834	+	1.12005i
$821$	−16.0169	−	4.29170i	−0.558992	−	0.149782i	−0.0317489	−	0.999496i	$-0.510108\pi$
$821$	−16.0169	−	4.29170i	−0.558992	−	0.149782i	−0.527243	+	0.849714i	$0.676774\pi$
$822$	2.76539	+	10.4444i	0.0964542	+	0.364289i
$823$	4.40914	−	7.63685i	0.153693	−	0.266204i	−0.778889	−	0.627161i	$-0.784217\pi$
$823$	4.40914	−	7.63685i	0.153693	−	0.266204i	0.932582	+	0.360957i	$0.117550\pi$
$824$	−4.43541	+	0.889540i	−0.154515	+	0.0309886i
$825$	−2.06271	+	4.64382i	−0.0718144	+	0.161677i
$826$	−1.11944	+	1.34964i	−0.0389503	+	0.0469599i
$827$	26.3768	+	26.3768i	0.917210	+	0.917210i	0.996826	−	0.0796154i	$-0.0253692\pi$
$827$	26.3768	+	26.3768i	0.917210	+	0.917210i	−0.0796154	+	0.996826i	$0.525369\pi$
$828$	0.827163	+	1.45251i	0.0287459	+	0.0504783i
$829$	11.4618	+	42.7759i	0.398083	+	1.48567i	0.816465	+	0.577395i	$0.195931\pi$
$829$	11.4618	+	42.7759i	0.398083	+	1.48567i	−0.418381	+	0.908271i	$0.637402\pi$
$830$	−9.38351	−	1.02266i	−0.325706	−	0.0354972i
$831$	−2.67182	−	25.2091i	−0.0926843	−	0.874496i
$832$	−25.2850	+	3.41009i	−0.876599	+	0.118224i
$833$	16.2733	+	38.1659i	0.563837	+	1.32237i
$834$	−0.0693679	+	23.3959i	−0.00240201	+	0.810132i
$835$	3.55725	−	13.2758i	0.123104	−	0.459429i
$836$	−3.19871	+	1.01225i	−0.110630	+	0.0350095i
$837$	−36.9543	+	24.1361i	−1.27733	+	0.834265i
$838$	18.1245	−	2.79939i	0.626100	−	0.0967034i
$839$			7.48630i			0.258456i	0.991615	+	0.129228i	$0.0412499\pi$
$839$			7.48630i			0.258456i	−0.991615	+	0.129228i	$0.958750\pi$
$840$	19.6326	−	10.8542i	0.677389	−	0.374505i
$841$		−	28.7038i		−	0.989786i
$842$	−4.81297	−	31.1613i	−0.165866	−	1.07389i
$843$	−3.50358	+	22.2463i	−0.120670	+	0.766204i
$844$	−5.93398	+	11.4284i	−0.204256	+	0.393383i
$845$	1.26716	−	4.72909i	0.0435915	−	0.162686i
$846$	−19.2796	+	43.0599i	−0.662846	+	1.48043i
$847$	−4.69089	−	22.9615i	−0.161181	−	0.788967i
$848$	−33.8765	−	28.3045i	−1.16332	−	0.971980i
$849$	2.39242	−	0.253563i	0.0821075	−	0.00870225i
$850$	1.82039	−	16.7031i	0.0624388	−	0.572911i
$851$	−0.201695	−	0.752736i	−0.00691402	−	0.0258035i
$852$	2.66539	+	17.6028i	0.0913149	+	0.603060i
$853$	16.3940	+	16.3940i	0.561319	+	0.561319i	0.929682	−	0.368363i	$-0.120082\pi$
$853$	16.3940	+	16.3940i	0.561319	+	0.561319i	−0.368363	+	0.929682i	$0.620082\pi$
$854$	8.60170	−	3.18638i	0.294344	−	0.109036i
$855$	4.41569	−	3.98988i	0.151014	−	0.136451i
$856$	33.0898	+	22.0344i	1.13099	+	0.753120i
$857$	−7.46268	+	12.9257i	−0.254920	+	0.441535i	−0.964874	−	0.262714i	$-0.915383\pi$
$857$	−7.46268	+	12.9257i	−0.254920	+	0.441535i	0.709954	+	0.704249i	$0.248716\pi$
$858$	2.92648	+	11.0528i	0.0999084	+	0.377335i
$859$	37.8025	+	10.1292i	1.28981	+	0.345602i	0.837587	−	0.546304i	$-0.183966\pi$
$859$	37.8025	+	10.1292i	1.28981	+	0.345602i	0.452219	+	0.891907i	$0.350632\pi$
$860$	15.7763	+	14.4258i	0.537969	+	0.491917i
$861$	37.7334	+	19.5623i	1.28595	+	0.666680i
$862$	−42.0465	+	18.5273i	−1.43211	+	0.631042i
$863$	−8.00255	−	13.8608i	−0.272410	−	0.471828i	0.697069	−	0.717004i	$-0.254487\pi$
$863$	−8.00255	−	13.8608i	−0.272410	−	0.471828i	−0.969478	+	0.245177i	$0.921154\pi$
$864$	13.7766	−	25.9654i	0.468691	−	0.883362i
$865$	4.61432	−	7.99224i	0.156892	−	0.271744i
$866$	−14.1959	−	10.3974i	−0.482396	−	0.353317i
$867$	−29.3095	+	11.2802i	−0.995403	+	0.383096i
$868$	38.5709	+	23.0782i	1.30918	+	0.783325i
$869$	−2.52169	+	2.52169i	−0.0855423	+	0.0855423i
$870$	−2.22690	−	0.603779i	−0.0754991	−	0.0204700i
$871$	21.8399	−	37.8278i	0.740016	−	1.28175i
$872$	39.6952	+	2.53883i	1.34425	+	0.0859757i
$873$	−19.1484	−	6.18479i	−0.648075	−	0.209323i
$874$	0.163445	−	0.420953i	0.00552860	−	0.0142389i
$875$	−28.6931	+	14.3348i	−0.970004	+	0.484605i
$876$	49.6471	+	19.4462i	1.67742	+	0.657027i
$877$	17.0421	+	4.56642i	0.575471	+	0.154197i	0.534805	−	0.844976i	$-0.320385\pi$
$877$	17.0421	+	4.56642i	0.575471	+	0.154197i	0.0406664	+	0.999173i	$0.487052\pi$
$878$	−5.10856	+	46.8739i	−0.172406	+	1.58192i
$879$	23.7119	+	32.5768i	0.799782	+	1.09879i
$880$	−8.28786	+	5.82926i	−0.279384	+	0.196504i
$881$		−	49.4558i		−	1.66621i	−0.553116	−	0.833104i	$-0.686561\pi$
$881$		−	49.4558i		−	1.66621i	0.553116	−	0.833104i	$-0.313439\pi$
$882$	0.532479	−	29.6937i	0.0179295	−	0.999839i
$883$	−26.0840	−	26.0840i	−0.877797	−	0.877797i	0.115509	−	0.993306i	$-0.463150\pi$
$883$	−26.0840	−	26.0840i	−0.877797	−	0.877797i	−0.993306	+	0.115509i	$0.963150\pi$
$884$	−20.3470	−	31.8643i	−0.684344	−	1.07171i
$885$	−0.218559	+	1.38776i	−0.00734677	+	0.0466490i
$886$	16.3413	−	13.1295i	0.548998	−	0.441093i
$887$	−20.2096	+	11.6680i	−0.678573	+	0.391774i	−0.799317	−	0.600909i	$-0.794805\pi$
$887$	−20.2096	+	11.6680i	−0.678573	+	0.391774i	0.120744	+	0.992684i	$0.461472\pi$
$888$	−9.27751	+	10.0858i	−0.311333	+	0.338459i
$889$	−39.4367	−	13.1599i	−1.32266	−	0.441369i
$890$	−0.656546	+	1.69094i	−0.0220075	+	0.0566804i
$891$	−12.3139	−	4.67763i	−0.412530	−	0.156706i
$892$	−32.8209	+	10.3864i	−1.09893	+	0.347762i
$893$	12.3114	−	3.29882i	0.411984	−	0.110391i
$894$	−14.9574	+	8.57665i	−0.500251	+	0.286846i
$895$			28.3925i			0.949058i
$896$	−29.9152	−	1.04082i	−0.999395	−	0.0347713i
$897$	−1.40639	−	0.624698i	−0.0469581	−	0.0208581i
$898$	−6.33333	+	8.64711i	−0.211346	+	0.288558i
$899$	−1.19652	−	4.46546i	−0.0399060	−	0.148931i
$900$	−6.07501	+	10.3796i	−0.202500	+	0.345986i
$901$	16.9304	−	63.1849i	0.564032	−	2.10500i
$902$	−17.8959	−	6.94848i	−0.595867	−	0.231359i
$903$	26.9766	−	8.55554i	0.897725	−	0.284711i
$904$	3.53678	+	1.19435i	0.117632	+	0.0397236i
$905$	21.5819	+	37.3810i	0.717407	+	1.24259i
$906$	8.28277	+	31.2824i	0.275177	+	1.03929i
$907$	−11.8581	−	44.2549i	−0.393741	−	1.46946i	−0.823914	−	0.566715i	$-0.808214\pi$
$907$	−11.8581	−	44.2549i	−0.393741	−	1.46946i	0.430173	−	0.902746i	$-0.358452\pi$
$908$	−37.4718	+	23.9277i	−1.24355	+	0.794067i
$909$	−1.23582	+	24.3950i	−0.0409896	+	0.809130i
$910$	−8.62167	+	18.7677i	−0.285806	+	0.622142i
$911$	−26.5713			−0.880348			−0.440174	−	0.897913i	$-0.645083\pi$
$911$	−26.5713			−0.880348			−0.440174	+	0.897913i	$0.645083\pi$
$912$	−7.79046	+	1.53840i	−0.257968	+	0.0509414i
$913$	2.82207	−	4.88796i	0.0933967	−	0.161768i
$914$	−11.7948	−	1.28546i	−0.390137	−	0.0425191i
$915$	4.62004	−	5.71546i	0.152734	−	0.188947i
$916$	27.5399	−	1.23146i	0.909944	−	0.0406886i
$917$	24.5762	−	37.1959i	0.811579	−	1.22832i
$918$	43.4934	+	2.33264i	1.43550	+	0.0769885i
$919$	−7.44236	−	12.8905i	−0.245501	−	0.425220i	0.716771	−	0.697308i	$-0.245619\pi$
$919$	−7.44236	−	12.8905i	−0.245501	−	0.425220i	−0.962272	+	0.272088i	$0.912286\pi$
$920$	0.0870469	−	1.36100i	0.00286985	−	0.0448708i
$921$	−10.7883	+	7.85252i	−0.355485	+	0.258749i
$922$	0.417690	+	2.70431i	0.0137559	+	0.0890616i
$923$	−11.5900	−	11.5900i	−0.381490	−	0.381490i
$924$	1.20562	+	13.3598i	0.0396621	+	0.439505i
$925$	3.96477	−	3.96477i	0.130361	−	0.130361i
$926$	0.628942	−	0.858716i	0.0206683	−	0.0282192i
$927$	1.00577	+	4.69155i	0.0330340	+	0.154091i
$928$	2.13480	+	2.21832i	0.0700782	+	0.0728201i
$929$	−19.8610	+	11.4668i	−0.651619	+	0.376212i	−0.789076	−	0.614295i	$-0.789440\pi$
$929$	−19.8610	+	11.4668i	−0.651619	+	0.376212i	0.137457	+	0.990508i	$0.456107\pi$
$930$	36.0117	+	0.106773i	1.18087	+	0.00350123i
$931$	−6.31437	+	4.94978i	−0.206945	+	0.162222i
$932$	23.8454	−	26.0778i	0.781084	−	0.854206i
$933$	−24.6961	+	30.5516i	−0.808513	+	1.00021i
$934$	5.70049	+	7.09501i	0.186526	+	0.232156i
$935$	−13.0029	−	7.50723i	−0.425241	−	0.245513i
$936$	3.97211	+	26.7685i	0.129833	+	0.874955i
$937$		−	37.6289i		−	1.22928i	−0.788806	−	0.614642i	$-0.789301\pi$
$937$		−	37.6289i		−	1.22928i	0.788806	−	0.614642i	$-0.210699\pi$
$938$	32.7159	−	39.4435i	1.06821	−	1.28788i
$939$	−6.43308	−	16.7152i	−0.209936	−	0.545478i
$940$	32.4428	−	20.7164i	1.05817	−	0.675695i
$941$	−27.1134	+	7.26502i	−0.883873	+	0.236833i	−0.672077	−	0.740481i	$-0.734598\pi$
$941$	−27.1134	+	7.26502i	−0.883873	+	0.236833i	−0.211795	+	0.977314i	$0.567931\pi$
$942$	−13.4200	−	7.80118i	−0.437247	−	0.254176i
$943$	2.23769	−	1.29193i	0.0728692	−	0.0420711i
$944$	1.20191	−	1.43852i	0.0391187	−	0.0468197i
$945$	−11.7876	−	20.6691i	−0.383451	−	0.672365i
$946$	−11.6975	+	5.15437i	−0.380319	+	0.167583i
$947$	−3.13924	−	0.841156i	−0.102012	−	0.0273339i	0.207452	−	0.978245i	$-0.433483\pi$
$947$	−3.13924	−	0.841156i	−0.102012	−	0.0273339i	−0.309464	+	0.950911i	$0.600150\pi$
$948$	−6.59559	+	5.26713i	−0.214215	+	0.171068i
$949$	−47.4163	+	12.7052i	−1.53920	+	0.412427i
$950$	3.21100	−	0.495950i	0.104179	−	0.0160907i
$951$	−11.2969	−	5.01790i	−0.366327	−	0.162717i
$952$	−17.2502	−	40.8633i	−0.559082	−	1.32439i
$953$	−14.2751			−0.462416			−0.231208	−	0.972904i	$-0.574268\pi$
$953$	−14.2751			−0.462416			−0.231208	+	0.972904i	$0.574268\pi$
$954$	−29.5425	+	36.3263i	−0.956474	+	1.17611i
$955$	−0.423901	−	1.58202i	−0.0137171	−	0.0511930i
$956$	−7.97706	−	25.2075i	−0.257996	−	0.815267i
$957$	0.867314	−	1.07296i	0.0280363	−	0.0346837i
$958$	−27.5536	+	12.1412i	−0.890217	+	0.392264i
$959$	−7.73979	−	8.73402i	−0.249931	−	0.282036i
$960$	−21.0297	+	11.5281i	−0.678730	+	0.372069i
$961$	20.5772	+	35.6407i	0.663780	+	1.14970i
$962$	1.36692	−	12.5423i	0.0440713	−	0.404379i
$963$	22.9037	−	35.4037i	0.738063	−	1.14087i
$964$	9.32448	+	2.05689i	0.300321	+	0.0662481i
$965$	−31.9706	+	31.9706i	−1.02917	+	1.02917i
$966$	−1.50339	−	0.999740i	−0.0483707	−	0.0321661i
$967$	33.8704			1.08920			0.544599	−	0.838697i	$-0.316682\pi$
$967$	33.8704			1.08920			0.544599	+	0.838697i	$0.316682\pi$
$968$	4.92656	+	24.5647i	0.158346	+	0.789541i
$969$	−6.92468	−	9.51355i	−0.222453	−	0.305619i
$970$	10.2830	+	12.7985i	0.330166	+	0.410935i
$971$	−4.19166	+	15.6435i	−0.134517	+	0.502024i	0.865483	+	0.500939i	$0.167012\pi$
$971$	−4.19166	+	15.6435i	−0.134517	+	0.502024i	−0.999999	+	0.00108465i	$0.999655\pi$
$972$	−27.7318	−	14.2460i	−0.889497	−	0.456940i
$973$	−11.2939	−	22.6063i	−0.362066	−	0.724726i
$974$	27.2594	−	12.0116i	0.873448	−	0.384875i
$975$	−1.16699	−	11.0108i	−0.0373735	−	0.352626i
$976$	−9.20778	+	3.37333i	−0.294734	+	0.107978i
$977$	10.3105	+	5.95277i	0.329862	+	0.190446i	0.655780	−	0.754952i	$-0.272340\pi$
$977$	10.3105	+	5.95277i	0.329862	+	0.190446i	−0.325918	+	0.945398i	$0.605673\pi$
$978$	−14.9741	−	26.1145i	−0.478820	−	0.835049i
$979$	−0.766960	−	0.766960i	−0.0245121	−	0.0245121i
$980$	−13.6711	+	20.0057i	−0.436707	+	0.639059i
$981$	2.13452	−	42.1352i	0.0681500	−	1.34527i
$982$	−3.74658	−	24.2570i	−0.119558	−	0.774072i
$983$	−3.41992	−	1.97449i	−0.109079	−	0.0629765i	0.444468	−	0.895795i	$-0.353393\pi$
$983$	−3.41992	−	1.97449i	−0.109079	−	0.0629765i	−0.553547	+	0.832818i	$0.686726\pi$
$984$	−40.2633	−	21.0577i	−1.28355	−	0.671296i
$985$	−38.6055	+	22.2889i	−1.23007	+	0.710183i
$986$	−1.65121	+	4.25270i	−0.0525852	+	0.135434i
$987$	−2.30833	−	50.9069i	−0.0734750	−	1.62038i
$988$	4.93344	−	5.39530i	0.156954	−	0.171647i
$989$	0.445293	−	1.66186i	0.0141595	−	0.0528440i
$990$	6.29884	+	8.70788i	0.200190	+	0.276755i
$991$	−28.6438	−	16.5375i	−0.909899	−	0.525331i	−0.0295006	−	0.999565i	$-0.509392\pi$
$991$	−28.6438	−	16.5375i	−0.909899	−	0.525331i	−0.880399	+	0.474234i	$0.842725\pi$
$992$	−41.1452	−	24.8196i	−1.30636	−	0.788023i
$993$	−0.711663	+	1.60218i	−0.0225839	+	0.0508436i
$994$	−11.1194	−	15.6891i	−0.352685	−	0.497628i
$995$	19.1142	−	19.1142i	0.605961	−	0.605961i
$996$	7.92542	−	10.7538i	0.251127	−	0.340748i
$997$	−12.3623	+	3.31248i	−0.391519	+	0.104907i	−0.449207	−	0.893427i	$-0.648294\pi$
$997$	−12.3623	+	3.31248i	−0.391519	+	0.104907i	0.0576887	+	0.998335i	$0.481627\pi$
$998$	33.4109	−	26.8440i	1.05760	−	0.849733i
$999$	10.8271	+	9.69763i	0.342556	+	0.306819i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bu.a.11.11	✓	240
3.2	odd	2	inner	336.2.bu.a.11.50	yes	240
7.2	even	3	inner	336.2.bu.a.107.29	yes	240
16.3	odd	4	inner	336.2.bu.a.179.32	yes	240
21.2	odd	6	inner	336.2.bu.a.107.32	yes	240
48.35	even	4	inner	336.2.bu.a.179.29	yes	240
112.51	odd	12	inner	336.2.bu.a.275.50	yes	240
336.275	even	12	inner	336.2.bu.a.275.11	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bu.a.11.11	✓	240	1.1	even	1	trivial
336.2.bu.a.11.50	yes	240	3.2	odd	2	inner
336.2.bu.a.107.29	yes	240	7.2	even	3	inner
336.2.bu.a.107.32	yes	240	21.2	odd	6	inner
336.2.bu.a.179.29	yes	240	48.35	even	4	inner
336.2.bu.a.179.32	yes	240	16.3	odd	4	inner
336.2.bu.a.275.11	yes	240	336.275	even	12	inner
336.2.bu.a.275.50	yes	240	112.51	odd	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14092 - 0.835638i) q^{2} +(-0.269460 + 1.71096i) q^{3} +(0.603419 + 1.90680i) q^{4} +(-1.67179 - 0.447955i) q^{5} +(1.73718 - 1.72691i) q^{6} +(-0.837482 + 2.50971i) q^{7} +(0.904939 - 2.67975i) q^{8} +(-2.85478 - 0.922073i) q^{9} +O(q^{10})\)	\(q+(-1.14092 - 0.835638i) q^{2} +(-0.269460 + 1.71096i) q^{3} +(0.603419 + 1.90680i) q^{4} +(-1.67179 - 0.447955i) q^{5} +(1.73718 - 1.72691i) q^{6} +(-0.837482 + 2.50971i) q^{7} +(0.904939 - 2.67975i) q^{8} +(-2.85478 - 0.922073i) q^{9} +(1.53306 + 1.90810i) q^{10} +(-1.41373 + 0.378806i) q^{11} +(-3.42506 + 0.518620i) q^{12} +(2.25513 - 2.25513i) q^{13} +(3.05271 - 2.16355i) q^{14} +(1.21692 - 2.73967i) q^{15} +(-3.27177 + 2.30120i) q^{16} +(-5.13312 - 2.96361i) q^{17} +(2.48657 + 3.43758i) q^{18} +(0.296651 - 1.10712i) q^{19} +(-0.154630 - 3.45808i) q^{20} +(-4.06834 - 2.10917i) q^{21} +(1.92950 + 0.749172i) q^{22} +(-0.241263 + 0.139294i) q^{23} +(4.34111 + 2.27040i) q^{24} +(-1.73590 - 1.00222i) q^{25} +(-4.45741 + 0.688462i) q^{26} +(2.34688 - 4.63596i) q^{27} +(-5.29086 - 0.0825068i) q^{28} +(0.384836 + 0.384836i) q^{29} +(-3.67778 + 2.10885i) q^{30} +(-7.35634 - 4.24719i) q^{31} +(5.65581 + 0.108522i) q^{32} +(-0.267181 - 2.52090i) q^{33} +(3.38000 + 7.67068i) q^{34} +(2.52433 - 3.82055i) q^{35} +(0.0355792 - 5.99989i) q^{36} +(-0.723993 + 2.70198i) q^{37} +(-1.26360 + 1.01524i) q^{38} +(3.25078 + 4.46611i) q^{39} +(-2.71328 + 4.07462i) q^{40} -9.27488 q^{41} +(2.87917 + 5.80606i) q^{42} +(-4.36690 + 4.36690i) q^{43} +(-1.57538 - 2.46711i) q^{44} +(4.35955 + 2.82033i) q^{45} +(0.391662 + 0.0426854i) q^{46} +(5.56010 + 9.63038i) q^{47} +(-3.05565 - 6.21796i) q^{48} +(-5.59725 - 4.20367i) q^{49} +(1.14304 + 2.59405i) q^{50} +(6.45379 - 7.98399i) q^{51} +(5.66087 + 2.93930i) q^{52} +(2.85638 + 10.6601i) q^{53} +(-6.55160 + 3.32814i) q^{54} +2.53314 q^{55} +(5.96753 + 4.51538i) q^{56} +(1.81430 + 0.805882i) q^{57} +(-0.117485 - 0.760653i) q^{58} +(-0.452667 + 0.121292i) q^{59} +(5.95830 + 0.667249i) q^{60} +(2.36803 + 0.634511i) q^{61} +(4.84392 + 10.9930i) q^{62} +(4.70496 - 6.39244i) q^{63} +(-6.36217 - 4.85003i) q^{64} +(-4.78031 + 2.75991i) q^{65} +(-1.80173 + 3.09943i) q^{66} +(13.2293 - 3.54478i) q^{67} +(2.55358 - 11.5761i) q^{68} +(-0.173315 - 0.450327i) q^{69} +(-6.07267 + 2.24953i) q^{70} -5.13940i q^{71} +(-5.05433 + 6.81570i) q^{72} +(-13.3299 - 7.69604i) q^{73} +(3.08390 - 2.47776i) q^{74} +(2.18253 - 2.70001i) q^{75} +(2.29005 - 0.102401i) q^{76} +(0.233277 - 3.86528i) q^{77} +(0.0231622 - 7.81197i) q^{78} +(2.11016 - 1.21830i) q^{79} +(6.50055 - 2.38152i) q^{80} +(7.29956 + 5.26464i) q^{81} +(10.5819 + 7.75044i) q^{82} +(-2.72685 + 2.72685i) q^{83} +(1.56684 - 9.03023i) q^{84} +(7.25394 + 7.25394i) q^{85} +(8.63146 - 1.33316i) q^{86} +(-0.762138 + 0.554742i) q^{87} +(-0.264226 + 4.13123i) q^{88} +(0.370541 + 0.641796i) q^{89} +(-2.61715 - 6.86079i) q^{90} +(3.77109 + 7.54835i) q^{91} +(-0.411188 - 0.375989i) q^{92} +(9.24902 - 11.4420i) q^{93} +(1.70385 - 15.6338i) q^{94} +(-0.991876 + 1.71798i) q^{95} +(-1.70969 + 9.64764i) q^{96} +6.70748 q^{97} +(2.87330 + 9.47334i) q^{98} +(4.38516 + 0.222148i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Introduction

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