LMFDB - Embedded newform 160.2.ba.a.3.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,2,Mod(3,160)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(160, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 3, 6]))

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

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

chi := DirichletCharacter("160.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	160.ba (of order $8$, 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:	$1.27760643234$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			3.4
Character	$\chi$	$=$	160.3
Dual form			160.2.ba.a.107.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26065 - 0.640905i) q^{2} +(-0.237464 + 0.0983610i) q^{3} +(1.17848 + 1.61591i) q^{4} +(0.189205 + 2.22805i) q^{5} +(0.362400 + 0.0281932i) q^{6} -4.12414 q^{7} +(-0.450008 - 2.79240i) q^{8} +(-2.07461 + 2.07461i) q^{9} +O(q^{10})$	\(q+(-1.26065 - 0.640905i) q^{2} +(-0.237464 + 0.0983610i) q^{3} +(1.17848 + 1.61591i) q^{4} +(0.189205 + 2.22805i) q^{5} +(0.362400 + 0.0281932i) q^{6} -4.12414 q^{7} +(-0.450008 - 2.79240i) q^{8} +(-2.07461 + 2.07461i) q^{9} +(1.18944 - 2.93005i) q^{10} +(0.648455 + 1.56551i) q^{11} +(-0.438790 - 0.267805i) q^{12} +(-1.54917 + 0.641689i) q^{13} +(5.19910 + 2.64318i) q^{14} +(-0.264083 - 0.510472i) q^{15} +(-1.22236 + 3.80865i) q^{16} +(4.72586 + 4.72586i) q^{17} +(3.94498 - 1.28573i) q^{18} +(0.413548 - 0.998394i) q^{19} +(-3.37736 + 2.93146i) q^{20} +(0.979336 - 0.405654i) q^{21} +(0.185866 - 2.38916i) q^{22} +0.650047 q^{23} +(0.381524 + 0.618832i) q^{24} +(-4.92840 + 0.843118i) q^{25} +(2.36423 + 0.183927i) q^{26} +(0.583668 - 1.40910i) q^{27} +(-4.86023 - 6.66426i) q^{28} +(1.40538 - 3.39288i) q^{29} +(0.00575222 + 0.812779i) q^{30} +1.22685i q^{31} +(3.98195 - 4.01797i) q^{32} +(-0.307970 - 0.307970i) q^{33} +(-2.92883 - 8.98648i) q^{34} +(-0.780309 - 9.18878i) q^{35} +(-5.79727 - 0.907499i) q^{36} +(-5.18545 - 2.14788i) q^{37} +(-1.16122 + 0.993581i) q^{38} +(0.304756 - 0.304756i) q^{39} +(6.13646 - 1.53098i) q^{40} +(6.54457 + 6.54457i) q^{41} +(-1.49459 - 0.116273i) q^{42} +(2.85588 - 6.89471i) q^{43} +(-1.76554 + 2.89277i) q^{44} +(-5.01485 - 4.22980i) q^{45} +(-0.819482 - 0.416618i) q^{46} +(-6.12116 + 6.12116i) q^{47} +(-0.0843562 - 1.02465i) q^{48} +10.0085 q^{49} +(6.75335 + 2.09576i) q^{50} +(-1.58706 - 0.657383i) q^{51} +(-2.86259 - 1.74711i) q^{52} +(8.98950 + 3.72357i) q^{53} +(-1.63890 + 1.40231i) q^{54} +(-3.36534 + 1.74099i) q^{55} +(1.85590 + 11.5162i) q^{56} +0.277760i q^{57} +(-3.94621 + 3.37653i) q^{58} +(-5.15691 - 12.4499i) q^{59} +(0.513662 - 1.02832i) q^{60} +(0.373056 + 0.154525i) q^{61} +(0.786295 - 1.54663i) q^{62} +(8.55596 - 8.55596i) q^{63} +(-7.59499 + 2.51320i) q^{64} +(-1.72283 - 3.33022i) q^{65} +(0.190863 + 0.585622i) q^{66} +(4.25100 + 10.2628i) q^{67} +(-2.06724 + 13.2059i) q^{68} +(-0.154363 + 0.0639392i) q^{69} +(-4.90544 + 12.0840i) q^{70} +(-2.53418 - 2.53418i) q^{71} +(6.72672 + 4.85954i) q^{72} -5.66366i q^{73} +(5.16046 + 6.03111i) q^{74} +(1.08739 - 0.684973i) q^{75} +(2.10068 - 0.508331i) q^{76} +(-2.67432 - 6.45638i) q^{77} +(-0.579511 + 0.188872i) q^{78} +11.8936i q^{79} +(-8.71714 - 2.00286i) q^{80} -8.40979i q^{81} +(-4.05598 - 12.4449i) q^{82} +(6.47691 + 15.6367i) q^{83} +(1.80963 + 1.10447i) q^{84} +(-9.63528 + 11.4236i) q^{85} +(-8.01912 + 6.86147i) q^{86} +0.943923i q^{87} +(4.07972 - 2.51524i) q^{88} +(6.18006 + 6.18006i) q^{89} +(3.61108 + 8.54634i) q^{90} +(6.38901 - 2.64641i) q^{91} +(0.766068 + 1.05042i) q^{92} +(-0.120674 - 0.291334i) q^{93} +(11.6397 - 3.79357i) q^{94} +(2.30272 + 0.732504i) q^{95} +(-0.550360 + 1.34579i) q^{96} +(0.138522 - 0.138522i) q^{97} +(-12.6173 - 6.41451i) q^{98} +(-4.59310 - 1.90253i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 8 q^{7} + 8 q^{8}+O(q^{10}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 8 * q^7 + 8 * q^8	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 8 q^{7} + 8 q^{8} + 8 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} - 16 q^{14} - 8 q^{15} - 8 q^{16} - 12 q^{18} - 16 q^{19} - 32 q^{20} - 8 q^{21} - 20 q^{22} - 8 q^{23} + 32 q^{24} - 4 q^{25} - 8 q^{26} + 8 q^{27} - 20 q^{28} + 64 q^{30} + 16 q^{32} - 8 q^{33} - 8 q^{34} - 48 q^{35} - 8 q^{36} - 4 q^{37} - 4 q^{38} + 16 q^{40} - 8 q^{41} - 68 q^{42} + 28 q^{43} - 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 88 q^{48} + 40 q^{49} + 4 q^{50} + 8 q^{51} + 48 q^{52} - 4 q^{53} + 56 q^{54} + 28 q^{55} + 40 q^{56} - 36 q^{58} + 12 q^{60} - 40 q^{61} - 32 q^{62} - 56 q^{63} - 48 q^{64} - 8 q^{65} + 72 q^{66} - 28 q^{67} + 8 q^{68} - 24 q^{69} + 4 q^{70} + 24 q^{71} + 88 q^{72} - 16 q^{75} + 56 q^{76} - 32 q^{77} + 112 q^{78} + 80 q^{80} + 68 q^{82} + 36 q^{83} - 56 q^{84} - 4 q^{85} + 24 q^{86} - 24 q^{88} - 84 q^{90} - 8 q^{91} + 92 q^{92} + 8 q^{93} + 32 q^{94} + 24 q^{96} - 8 q^{97} + 16 q^{98}+O(q^{100}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 8 * q^7 + 8 * q^8 + 8 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 - 16 * q^14 - 8 * q^15 - 8 * q^16 - 12 * q^18 - 16 * q^19 - 32 * q^20 - 8 * q^21 - 20 * q^22 - 8 * q^23 + 32 * q^24 - 4 * q^25 - 8 * q^26 + 8 * q^27 - 20 * q^28 + 64 * q^30 + 16 * q^32 - 8 * q^33 - 8 * q^34 - 48 * q^35 - 8 * q^36 - 4 * q^37 - 4 * q^38 + 16 * q^40 - 8 * q^41 - 68 * q^42 + 28 * q^43 - 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 88 * q^48 + 40 * q^49 + 4 * q^50 + 8 * q^51 + 48 * q^52 - 4 * q^53 + 56 * q^54 + 28 * q^55 + 40 * q^56 - 36 * q^58 + 12 * q^60 - 40 * q^61 - 32 * q^62 - 56 * q^63 - 48 * q^64 - 8 * q^65 + 72 * q^66 - 28 * q^67 + 8 * q^68 - 24 * q^69 + 4 * q^70 + 24 * q^71 + 88 * q^72 - 16 * q^75 + 56 * q^76 - 32 * q^77 + 112 * q^78 + 80 * q^80 + 68 * q^82 + 36 * q^83 - 56 * q^84 - 4 * q^85 + 24 * q^86 - 24 * q^88 - 84 * q^90 - 8 * q^91 + 92 * q^92 + 8 * q^93 + 32 * q^94 + 24 * q^96 - 8 * q^97 + 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{3}{8}\right)$

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 $

$2$	−1.26065	−	0.640905i	−0.891415	−	0.453188i
$2$	−1.26065	−	0.640905i	−0.891415	−	0.453188i
$3$	−0.237464	+	0.0983610i	−0.137100	+	0.0567887i	−0.450179	−	0.892939i	$-0.648640\pi$
$3$	−0.237464	+	0.0983610i	−0.137100	+	0.0567887i	0.313079	+	0.949727i	$0.398640\pi$
$4$	1.17848	+	1.61591i	0.589241	+	0.807957i
$5$	0.189205	+	2.22805i	0.0846152	+	0.996414i
$5$	0.189205	+	2.22805i	0.0846152	+	0.996414i
$6$	0.362400	+	0.0281932i	0.147949	+	0.0115098i
$7$	−4.12414			−1.55878			−0.779389	−	0.626540i	$-0.784470\pi$
$7$	−4.12414			−1.55878			−0.779389	+	0.626540i	$0.784470\pi$
$8$	−0.450008	−	2.79240i	−0.159102	−	0.987262i
$9$	−2.07461	+	2.07461i	−0.691535	+	0.691535i
$10$	1.18944	−	2.93005i	0.376136	−	0.926565i
$11$	0.648455	+	1.56551i	0.195517	+	0.472019i	0.990984	−	0.133977i	$-0.0427748\pi$
$11$	0.648455	+	1.56551i	0.195517	+	0.472019i	−0.795468	+	0.605996i	$0.792775\pi$
$12$	−0.438790	−	0.267805i	−0.126668	−	0.0773088i
$13$	−1.54917	+	0.641689i	−0.429664	+	0.177972i	−0.587025	−	0.809569i	$-0.699701\pi$
$13$	−1.54917	+	0.641689i	−0.429664	+	0.177972i	0.157362	+	0.987541i	$0.449701\pi$
$14$	5.19910	+	2.64318i	1.38952	+	0.706420i
$15$	−0.264083	−	0.510472i	−0.0681858	−	0.131803i
$16$	−1.22236	+	3.80865i	−0.305590	+	0.952163i
$17$	4.72586	+	4.72586i	1.14619	+	1.14619i	0.987296	+	0.158893i	$0.0507925\pi$
$17$	4.72586	+	4.72586i	1.14619	+	1.14619i	0.158893	+	0.987296i	$0.449208\pi$
$18$	3.94498	−	1.28573i	0.929840	−	0.303049i
$19$	0.413548	−	0.998394i	0.0948745	−	0.229047i	−0.869317	−	0.494256i	$-0.835441\pi$
$19$	0.413548	−	0.998394i	0.0948745	−	0.229047i	0.964191	+	0.265208i	$0.0854407\pi$
$20$	−3.37736	+	2.93146i	−0.755201	+	0.655493i
$21$	0.979336	−	0.405654i	0.213709	−	0.0885210i
$22$	0.185866	−	2.38916i	0.0396269	−	0.509370i
$23$	0.650047			0.135544			0.0677720	−	0.997701i	$-0.478411\pi$
$23$	0.650047			0.135544			0.0677720	+	0.997701i	$0.478411\pi$
$24$	0.381524	+	0.618832i	0.0778782	+	0.126319i
$25$	−4.92840	+	0.843118i	−0.985681	+	0.168624i
$26$	2.36423	+	0.183927i	0.463664	+	0.0360711i
$27$	0.583668	−	1.40910i	0.112327	−	0.271181i
$28$	−4.86023	−	6.66426i	−0.918496	−	1.25943i
$29$	1.40538	−	3.39288i	0.260972	−	0.630043i	−0.738027	−	0.674771i	$-0.764242\pi$
$29$	1.40538	−	3.39288i	0.260972	−	0.630043i	0.998999	+	0.0447286i	$0.0142423\pi$
$30$	0.00575222	+	0.812779i	0.00105021	+	0.148392i
$31$			1.22685i			0.220349i	0.993912	+	0.110175i	$0.0351410\pi$
$31$			1.22685i			0.220349i	−0.993912	+	0.110175i	$0.964859\pi$
$32$	3.98195	−	4.01797i	0.703916	−	0.710283i
$33$	−0.307970	−	0.307970i	−0.0536107	−	0.0536107i
$34$	−2.92883	−	8.98648i	−0.502291	−	1.54117i
$35$	−0.780309	−	9.18878i	−0.131896	−	1.55319i
$36$	−5.79727	−	0.907499i	−0.966212	−	0.151250i
$37$	−5.18545	−	2.14788i	−0.852483	−	0.353110i	−0.0867199	−	0.996233i	$-0.527639\pi$
$37$	−5.18545	−	2.14788i	−0.852483	−	0.353110i	−0.765763	+	0.643123i	$0.777639\pi$
$38$	−1.16122	+	0.993581i	−0.188374	+	0.161180i
$39$	0.304756	−	0.304756i	0.0488001	−	0.0488001i
$40$	6.13646	−	1.53098i	0.970259	−	0.242069i
$41$	6.54457	+	6.54457i	1.02209	+	1.02209i	0.999750	+	0.0223401i	$0.00711167\pi$
$41$	6.54457	+	6.54457i	1.02209	+	1.02209i	0.0223401	+	0.999750i	$0.492888\pi$
$42$	−1.49459	−	0.116273i	−0.230620	−	0.0179412i
$43$	2.85588	−	6.89471i	0.435518	−	1.05143i	−0.541962	−	0.840403i	$-0.682318\pi$
$43$	2.85588	−	6.89471i	0.435518	−	1.05143i	0.977480	−	0.211030i	$-0.0676817\pi$
$44$	−1.76554	+	2.89277i	−0.266165	+	0.436102i
$45$	−5.01485	−	4.22980i	−0.747570	−	0.630541i
$46$	−0.819482	−	0.416618i	−0.120826	−	0.0614270i
$47$	−6.12116	+	6.12116i	−0.892863	+	0.892863i	−0.994792	−	0.101929i	$-0.967499\pi$
$47$	−6.12116	+	6.12116i	−0.892863	+	0.892863i	0.101929	+	0.994792i	$0.467499\pi$
$48$	−0.0843562	−	1.02465i	−0.0121758	−	0.147896i
$49$	10.0085			1.42979
$50$	6.75335	+	2.09576i	0.955069	+	0.296385i
$51$	−1.58706	−	0.657383i	−0.222233	−	0.0920520i
$52$	−2.86259	−	1.74711i	−0.396970	−	0.242281i
$53$	8.98950	+	3.72357i	1.23480	+	0.511472i	0.902087	−	0.431555i	$-0.142035\pi$
$53$	8.98950	+	3.72357i	1.23480	+	0.511472i	0.332716	+	0.943027i	$0.392035\pi$
$54$	−1.63890	+	1.40231i	−0.223026	+	0.190830i
$55$	−3.36534	+	1.74099i	−0.453782	+	0.234755i
$56$	1.85590	+	11.5162i	0.248005	+	1.53892i
$57$			0.277760i			0.0367902i
$58$	−3.94621	+	3.37653i	−0.518162	+	0.443360i
$59$	−5.15691	−	12.4499i	−0.671372	−	1.62084i	−0.779280	−	0.626676i	$-0.784415\pi$
$59$	−5.15691	−	12.4499i	−0.671372	−	1.62084i	0.107908	−	0.994161i	$-0.465585\pi$
$60$	0.513662	−	1.02832i	0.0663135	−	0.132755i
$61$	0.373056	+	0.154525i	0.0477650	+	0.0197849i	0.406438	−	0.913678i	$-0.366771\pi$
$61$	0.373056	+	0.154525i	0.0477650	+	0.0197849i	−0.358673	+	0.933463i	$0.616771\pi$
$62$	0.786295	−	1.54663i	0.0998596	−	0.196423i
$63$	8.55596	−	8.55596i	1.07795	−	1.07795i
$64$	−7.59499	+	2.51320i	−0.949373	+	0.314151i
$65$	−1.72283	−	3.33022i	−0.213690	−	0.413063i
$66$	0.190863	+	0.585622i	0.0234937	+	0.0720851i
$67$	4.25100	+	10.2628i	0.519342	+	1.25380i	0.938308	+	0.345801i	$0.112393\pi$
$67$	4.25100	+	10.2628i	0.519342	+	1.25380i	−0.418965	+	0.908002i	$0.637607\pi$
$68$	−2.06724	+	13.2059i	−0.250690	+	1.60145i
$69$	−0.154363	+	0.0639392i	−0.0185831	+	0.00769738i
$70$	−4.90544	+	12.0840i	−0.586312	+	1.44431i
$71$	−2.53418	−	2.53418i	−0.300752	−	0.300752i	0.540556	−	0.841308i	$-0.318214\pi$
$71$	−2.53418	−	2.53418i	−0.300752	−	0.300752i	−0.841308	+	0.540556i	$0.818214\pi$
$72$	6.72672	+	4.85954i	0.792751	+	0.572702i
$73$		−	5.66366i		−	0.662881i	−0.943476	−	0.331441i	$-0.892465\pi$
$73$		−	5.66366i		−	0.662881i	0.943476	−	0.331441i	$-0.107535\pi$
$74$	5.16046	+	6.03111i	0.599891	+	0.701103i
$75$	1.08739	−	0.684973i	0.125561	−	0.0790938i
$76$	2.10068	−	0.508331i	0.240964	−	0.0583096i
$77$	−2.67432	−	6.45638i	−0.304767	−	0.735773i
$78$	−0.579511	+	0.188872i	−0.0656168	+	0.0213855i
$79$			11.8936i			1.33814i	0.743200	+	0.669069i	$0.233307\pi$
$79$			11.8936i			1.33814i	−0.743200	+	0.669069i	$0.766693\pi$
$80$	−8.71714	−	2.00286i	−0.974606	−	0.223926i
$81$		−	8.40979i		−	0.934421i
$82$	−4.05598	−	12.4449i	−0.447908	−	1.37431i
$83$	6.47691	+	15.6367i	0.710934	+	1.71635i	0.697655	+	0.716434i	$0.254227\pi$
$83$	6.47691	+	15.6367i	0.710934	+	1.71635i	0.0132782	+	0.999912i	$0.495773\pi$
$84$	1.80963	+	1.10447i	0.197447	+	0.120507i
$85$	−9.63528	+	11.4236i	−1.04509	+	1.23906i
$86$	−8.01912	+	6.86147i	−0.864724	+	0.739892i
$87$			0.943923i			0.101199i
$88$	4.07972	−	2.51524i	0.434899	−	0.268125i
$89$	6.18006	+	6.18006i	0.655085	+	0.655085i	0.954213	−	0.299128i	$-0.0966958\pi$
$89$	6.18006	+	6.18006i	0.655085	+	0.655085i	−0.299128	+	0.954213i	$0.596696\pi$
$90$	3.61108	+	8.54634i	0.380641	+	0.900863i
$91$	6.38901	−	2.64641i	0.669750	−	0.277420i
$92$	0.766068	+	1.05042i	0.0798681	+	0.109514i
$93$	−0.120674	−	0.291334i	−0.0125133	−	0.0302099i
$94$	11.6397	−	3.79357i	1.20055	−	0.391276i
$95$	2.30272	+	0.732504i	0.236254	+	0.0751533i
$96$	−0.550360	+	1.34579i	−0.0561709	+	0.137354i
$97$	0.138522	−	0.138522i	0.0140647	−	0.0140647i	−0.700039	−	0.714104i	$-0.746834\pi$
$97$	0.138522	−	0.138522i	0.0140647	−	0.0140647i	0.714104	+	0.700039i	$0.246834\pi$
$98$	−12.6173	−	6.41451i	−1.27454	−	0.647963i
$99$	−4.59310	−	1.90253i	−0.461624	−	0.191211i
$100$	−7.17044	−	6.97028i	−0.717044	−	0.697028i
$101$	−3.42504	−	8.26878i	−0.340804	−	0.822775i	−0.997635	−	0.0687364i	$-0.978103\pi$
$101$	−3.42504	−	8.26878i	−0.340804	−	0.822775i	0.656830	−	0.754038i	$-0.271897\pi$
$102$	1.57941	+	1.84589i	0.156385	+	0.182770i
$103$			7.40468i			0.729605i	0.931085	+	0.364802i	$0.118863\pi$
$103$			7.40468i			0.729605i	−0.931085	+	0.364802i	$0.881137\pi$
$104$	2.48899	+	4.03715i	0.244066	+	0.395875i
$105$	1.08911	+	2.10526i	0.106287	+	0.205452i
$106$	−8.94617	−	10.4555i	−0.868928	−	1.01553i
$107$	9.01441	+	3.73389i	0.871456	+	0.360969i	0.773177	−	0.634190i	$-0.218666\pi$
$107$	9.01441	+	3.73389i	0.871456	+	0.360969i	0.0982786	+	0.995159i	$0.468666\pi$
$108$	2.96482	−	0.717441i	0.285290	−	0.0690358i
$109$	−3.31048	−	1.37124i	−0.317086	−	0.131341i	0.218463	−	0.975845i	$-0.429896\pi$
$109$	−3.31048	−	1.37124i	−0.317086	−	0.131341i	−0.535550	+	0.844504i	$0.679896\pi$
$110$	5.35833	−	0.0379221i	0.510897	−	0.00361573i
$111$	1.44263			0.136928
$112$	5.04118	−	15.7074i	0.476346	−	1.48421i
$113$	−4.07143	+	4.07143i	−0.383008	+	0.383008i	−0.872185	−	0.489177i	$-0.837297\pi$
$113$	−4.07143	+	4.07143i	−0.383008	+	0.383008i	0.489177	+	0.872185i	$0.337297\pi$
$114$	0.178018	−	0.350158i	0.0166729	−	0.0327953i
$115$	0.122992	+	1.44834i	0.0114691	+	0.135058i
$116$	7.13882	−	1.72748i	0.662823	−	0.160393i
$117$	1.88267	−	4.54518i	0.174053	−	0.420202i
$118$	−1.47812	+	19.0000i	−0.136072	+	1.74910i
$119$	−19.4901	−	19.4901i	−1.78665	−	1.78665i
$120$	−1.30660	+	0.967140i	−0.119276	+	0.0882874i
$121$	5.74785	−	5.74785i	0.522532	−	0.522532i
$122$	−0.371258	−	0.433896i	−0.0336121	−	0.0392831i
$123$	−2.19783	−	0.910372i	−0.198172	−	0.0820855i
$124$	−1.98249	+	1.44582i	−0.178033	+	0.129839i
$125$	−2.81099	−	10.8212i	−0.251422	−	0.967877i
$126$	−16.2696	+	5.30253i	−1.44941	+	0.472387i
$127$	7.75203	+	7.75203i	0.687882	+	0.687882i	0.961763	−	0.273882i	$-0.0883076\pi$
$127$	7.75203	+	7.75203i	0.687882	+	0.687882i	−0.273882	+	0.961763i	$0.588308\pi$
$128$	11.1854	+	1.69939i	0.988655	+	0.150206i
$129$			1.91815i			0.168884i
$130$	0.0375264	+	5.30242i	0.00329128	+	0.465053i
$131$	−0.787294	+	1.90070i	−0.0687862	+	0.166065i	−0.954534	−	0.298102i	$-0.903646\pi$
$131$	−0.787294	+	1.90070i	−0.0687862	+	0.166065i	0.885748	+	0.464167i	$0.153646\pi$
$132$	0.134716	−	0.860590i	0.0117255	−	0.0749048i
$133$	−1.70553	+	4.11751i	−0.147888	+	0.357034i
$134$	1.21846	−	15.6623i	0.105259	−	1.35302i
$135$	3.24997	+	1.03383i	0.279713	+	0.0889780i
$136$	11.0698	−	15.3232i	0.949228	−	1.31395i
$137$	−19.4309			−1.66009			−0.830045	−	0.557696i	$-0.811685\pi$
$137$	−19.4309			−1.66009			−0.830045	+	0.557696i	$0.811685\pi$
$138$	0.235577	+	0.0183269i	0.0200536	+	0.00156009i
$139$	13.7210	−	5.68342i	1.16380	−	0.482061i	0.284661	−	0.958628i	$-0.408119\pi$
$139$	13.7210	−	5.68342i	1.16380	−	0.482061i	0.879138	+	0.476567i	$0.158119\pi$
$140$	13.9287	−	12.0897i	1.17719	−	1.02177i
$141$	0.851474	−	2.05564i	0.0717070	−	0.173116i
$142$	1.57055	+	4.81889i	0.131798	+	0.404392i
$143$	−2.00914	−	2.00914i	−0.168013	−	0.168013i
$144$	−5.36554	−	10.4374i	−0.447129	−	0.869781i
$145$	7.82541	+	2.48930i	0.649865	+	0.206725i
$146$	−3.62987	+	7.13990i	−0.300410	+	0.590902i
$147$	−2.37667	+	0.984448i	−0.196024	+	0.0811959i
$148$	−2.64017	−	10.9105i	−0.217020	−	0.896837i
$149$	0.750543	+	1.81197i	0.0614869	+	0.148442i	0.951637	−	0.307225i	$-0.0994005\pi$
$149$	0.750543	+	1.81197i	0.0614869	+	0.148442i	−0.890150	+	0.455668i	$0.849401\pi$
$150$	−1.80982	+	0.166598i	−0.147771	+	0.0136027i
$151$	−3.75531	+	3.75531i	−0.305603	+	0.305603i	−0.843201	−	0.537598i	$-0.819332\pi$
$151$	−3.75531	+	3.75531i	−0.305603	+	0.305603i	0.537598	+	0.843201i	$0.319332\pi$
$152$	−2.97401	−	0.705506i	−0.241224	−	0.0572241i
$153$	−19.6086			−1.58526
$154$	−0.766539	+	9.85323i	−0.0617695	+	0.793996i
$155$	−2.73349	+	0.232127i	−0.219559	+	0.0186449i
$156$	0.851611	+	0.133310i	0.0681834	+	0.0106734i
$157$	7.04915	−	2.91986i	0.562584	−	0.233030i	−0.0832227	−	0.996531i	$-0.526521\pi$
$157$	7.04915	−	2.91986i	0.562584	−	0.233030i	0.645806	+	0.763501i	$0.276521\pi$
$158$	7.62268	−	14.9937i	0.606428	−	1.19284i
$159$	−2.50094			−0.198337
$160$	9.70563	+	8.11176i	0.767298	+	0.641291i
$161$	−2.68088			−0.211283
$162$	−5.38987	+	10.6018i	−0.423468	+	0.832957i
$163$	−10.2229	+	4.23448i	−0.800723	+	0.331670i	−0.745246	−	0.666790i	$-0.767668\pi$
$163$	−10.2229	+	4.23448i	−0.800723	+	0.331670i	−0.0554768	+	0.998460i	$0.517668\pi$
$164$	−2.86281	+	18.2881i	−0.223548	+	1.42806i
$165$	0.627903	−	0.744442i	0.0488822	−	0.0579547i
$166$	1.85648	−	23.8634i	0.144090	−	1.85216i
$167$	5.68173			0.439666			0.219833	−	0.975538i	$-0.429449\pi$
$167$	5.68173			0.439666			0.219833	+	0.975538i	$0.429449\pi$
$168$	−1.57346	−	2.55215i	−0.121395	−	0.196903i
$169$	−7.20421	+	7.20421i	−0.554170	+	0.554170i
$170$	19.4682	−	8.22587i	1.49314	−	0.630896i
$171$	1.21332	+	2.92922i	0.0927852	+	0.224003i
$172$	14.5069	−	3.51043i	1.10614	−	0.267668i
$173$	6.96534	−	2.88514i	0.529565	−	0.219353i	−0.101848	−	0.994800i	$-0.532475\pi$
$173$	6.96534	−	2.88514i	0.529565	−	0.219353i	0.631413	+	0.775447i	$0.282475\pi$
$174$	0.604965	−	1.18996i	0.0458623	−	0.0902105i
$175$	20.3254	−	3.47713i	1.53646	−	0.262847i
$176$	−6.75513	+	0.556127i	−0.509187	+	0.0419197i
$177$	2.44916	+	2.44916i	0.184090	+	0.184090i
$178$	−3.83007	−	11.7517i	−0.287076	−	0.880829i
$179$	−4.28195	+	10.3375i	−0.320048	+	0.772664i	0.679202	+	0.733951i	$0.262326\pi$
$179$	−4.28195	+	10.3375i	−0.320048	+	0.772664i	−0.999250	+	0.0387130i	$0.987674\pi$
$180$	0.925077	−	13.0883i	0.0689512	−	0.975545i
$181$	10.6335	−	4.40455i	0.790383	−	0.327387i	0.0492855	−	0.998785i	$-0.484306\pi$
$181$	10.6335	−	4.40455i	0.790383	−	0.327387i	0.741098	+	0.671397i	$0.234306\pi$
$182$	−9.75041	−	0.758541i	−0.722749	−	0.0562268i
$183$	−0.103787			−0.00767214
$184$	−0.292526	−	1.81519i	−0.0215653	−	0.133818i
$185$	3.80448	−	11.9598i	0.279711	−	0.879304i
$186$	−0.0345888	+	0.444611i	−0.00253618	+	0.0326004i
$187$	−4.33387	+	10.4629i	−0.316924	+	0.765122i
$188$	−17.1049	−	2.67759i	−1.24751	−	0.195283i
$189$	−2.40713	+	5.81132i	−0.175093	+	0.422711i
$190$	−2.43346	−	2.39925i	−0.176541	−	0.174060i
$191$			23.5765i			1.70594i	0.521962	+	0.852969i	$0.325200\pi$
$191$			23.5765i			1.70594i	−0.521962	+	0.852969i	$0.674800\pi$
$192$	1.55634	−	1.34385i	0.112319	−	0.0969838i
$193$	−3.31149	−	3.31149i	−0.238366	−	0.238366i	0.577807	−	0.816173i	$-0.303909\pi$
$193$	−3.31149	−	3.31149i	−0.238366	−	0.238366i	−0.816173	+	0.577807i	$0.803909\pi$
$194$	−0.263407	+	0.0858483i	−0.0189115	+	0.00616355i
$195$	0.736674	+	0.621351i	0.0527543	+	0.0444959i
$196$	11.7949	+	16.1729i	0.842491	+	1.15521i
$197$	10.1291	+	4.19561i	0.721668	+	0.298925i	0.713123	−	0.701039i	$-0.247280\pi$
$197$	10.1291	+	4.19561i	0.721668	+	0.298925i	0.00854507	+	0.999963i	$0.497280\pi$
$198$	4.57096	+	5.34216i	0.324844	+	0.379651i
$199$	−12.7775	+	12.7775i	−0.905774	+	0.905774i	−0.995928	−	0.0901534i	$-0.971264\pi$
$199$	−12.7775	+	12.7775i	−0.905774	+	0.905774i	0.0901534	+	0.995928i	$0.471264\pi$
$200$	4.57214	+	13.3827i	0.323299	+	0.946297i
$201$	−2.01892	−	2.01892i	−0.142404	−	0.142404i
$202$	−0.981719	+	12.6192i	−0.0690735	+	0.887882i
$203$	−5.79598	+	13.9927i	−0.406798	+	0.982097i
$204$	−0.808051	−	3.33927i	−0.0565749	−	0.233796i
$205$	−13.3434	+	15.8199i	−0.931941	+	1.10491i
$206$	4.74569	−	9.33472i	0.330648	−	0.650381i
$207$	−1.34859	+	1.34859i	−0.0937335	+	0.0937335i
$208$	−0.550325	−	6.68464i	−0.0381581	−	0.463496i
$209$	1.83116			0.126664
$210$	−0.0237229	−	3.35201i	−0.00163704	−	0.231311i
$211$	−12.5762	−	5.20922i	−0.865780	−	0.358618i	−0.0948144	−	0.995495i	$-0.530226\pi$
$211$	−12.5762	−	5.20922i	−0.865780	−	0.358618i	−0.770965	+	0.636877i	$0.780226\pi$
$212$	4.57699	+	18.9144i	0.314349	+	1.29905i
$213$	0.851042	+	0.352513i	0.0583124	+	0.0241538i
$214$	−8.97095	−	10.4845i	−0.613242	−	0.716706i
$215$	15.9021	+	5.05853i	1.08451	+	0.344989i
$216$	−4.19742	−	0.995727i	−0.285598	−	0.0677507i
$217$		−	5.05971i		−	0.343475i
$218$	3.29452	+	3.85036i	0.223133	+	0.260779i
$219$	0.557083	+	1.34492i	0.0376442	+	0.0908811i
$220$	−6.77929	−	3.38637i	−0.457060	−	0.228309i
$221$	−10.3537	−	4.28865i	−0.696466	−	0.288486i
$222$	−1.81865	−	0.924587i	−0.122060	−	0.0620542i
$223$	14.7815	−	14.7815i	0.989844	−	0.989844i	−0.0101049	−	0.999949i	$-0.503217\pi$
$223$	14.7815	−	14.7815i	0.989844	−	0.989844i	0.999949	+	0.0101049i	$0.00321655\pi$
$224$	−16.4221	+	16.5707i	−1.09725	+	1.10717i
$225$	8.47536	−	11.9736i	0.565024	−	0.798242i
$226$	7.74206	−	2.52326i	0.514994	−	0.167844i
$227$	−6.26888	−	15.1344i	−0.416080	−	1.00451i	−0.983472	−	0.181059i	$-0.942048\pi$
$227$	−6.26888	−	15.1344i	−0.416080	−	1.00451i	0.567392	−	0.823448i	$-0.307952\pi$
$228$	−0.448836	+	0.327335i	−0.0297249	+	0.0216783i
$229$	−0.547116	+	0.226623i	−0.0361545	+	0.0149757i	−0.400687	−	0.916215i	$-0.631229\pi$
$229$	−0.547116	+	0.226623i	−0.0361545	+	0.0149757i	0.364533	+	0.931190i	$0.381229\pi$
$230$	0.773195	−	1.90467i	0.0509829	−	0.125590i
$231$	1.27011	+	1.27011i	0.0835672	+	0.0835672i
$232$	−10.1067	−	2.39755i	−0.663538	−	0.157407i
$233$		−	2.46903i		−	0.161751i	−0.996724	−	0.0808756i	$-0.974228\pi$
$233$		−	2.46903i		−	0.161751i	0.996724	−	0.0808756i	$-0.0257717\pi$
$234$	−5.28642	+	4.52327i	−0.345584	+	0.295695i
$235$	−14.7964	−	12.4801i	−0.965210	−	0.814111i
$236$	14.0406	−	23.0051i	0.913966	−	1.49750i
$237$	−1.16987	−	2.82431i	−0.0759912	−	0.183459i
$238$	12.0789	+	37.0615i	0.782960	+	2.40234i
$239$		−	20.9501i		−	1.35515i	−0.735453	−	0.677576i	$-0.763030\pi$
$239$		−	20.9501i		−	1.35515i	0.735453	−	0.677576i	$-0.236970\pi$
$240$	2.26701	−	0.381819i	0.146335	−	0.0246463i
$241$		−	18.1090i		−	1.16650i	−0.812291	−	0.583252i	$-0.801780\pi$
$241$		−	18.1090i		−	1.16650i	0.812291	−	0.583252i	$-0.198220\pi$
$242$	−10.9299	+	3.56221i	−0.702598	+	0.228987i
$243$	2.57820	+	6.22432i	0.165391	+	0.399290i
$244$	0.189941	+	0.784932i	0.0121597	+	0.0502501i
$245$	1.89367	+	22.2995i	0.120982	+	1.42466i
$246$	2.18724	+	2.55626i	0.139453	+	0.162981i
$247$			1.81205i			0.115298i
$248$	3.42586	−	0.552093i	0.217542	−	0.0350580i
$249$	−3.07607	−	3.07607i	−0.194938	−	0.194938i
$250$	−3.39168	+	15.4433i	−0.214509	+	0.976722i
$251$	−2.97957	+	1.23418i	−0.188069	+	0.0779007i	−0.474731	−	0.880131i	$-0.657454\pi$
$251$	−2.97957	+	1.23418i	−0.188069	+	0.0779007i	0.286662	+	0.958032i	$0.407454\pi$
$252$	23.9088	+	3.74265i	1.50611	+	0.235765i
$253$	0.421526	+	1.01765i	0.0265011	+	0.0639794i
$254$	−4.80430	−	14.7409i	−0.301448	−	0.924928i
$255$	1.16440	−	3.66043i	0.0729176	−	0.229225i
$256$	−13.0117	−	9.31108i	−0.813230	−	0.581942i
$257$	2.61533	−	2.61533i	0.163140	−	0.163140i	−0.620816	−	0.783956i	$-0.713199\pi$
$257$	2.61533	−	2.61533i	0.163140	−	0.163140i	0.783956	+	0.620816i	$0.213199\pi$
$258$	1.22935	−	2.41812i	0.0765362	−	0.150546i
$259$	21.3855	+	8.85818i	1.32883	+	0.550420i
$260$	3.35104	−	6.70855i	0.207822	−	0.416047i
$261$	4.12329	+	9.95450i	0.255225	+	0.616168i
$262$	2.21067	−	1.89153i	0.136576	−	0.116859i
$263$		−	14.1955i		−	0.875334i	−0.899137	−	0.437667i	$-0.855805\pi$
$263$		−	14.1955i		−	0.875334i	0.899137	−	0.437667i	$-0.144195\pi$
$264$	−0.721386	+	0.998564i	−0.0443983	+	0.0614574i
$265$	−6.59544	+	20.7336i	−0.405155	+	1.27365i
$266$	4.78901	−	4.09767i	0.293633	−	0.251244i
$267$	−2.07542	−	0.859667i	−0.127014	−	0.0526108i
$268$	−11.5741	+	18.9638i	−0.707002	+	1.15840i
$269$	17.1884	+	7.11965i	1.04799	+	0.434093i	0.839175	−	0.543862i	$-0.183038\pi$
$269$	17.1884	+	7.11965i	1.04799	+	0.434093i	0.208818	+	0.977955i	$0.433038\pi$
$270$	−3.43449	−	3.38622i	−0.209017	−	0.206079i
$271$	−8.34343			−0.506827			−0.253414	−	0.967358i	$-0.581553\pi$
$271$	−8.34343			−0.506827			−0.253414	+	0.967358i	$0.581553\pi$
$272$	−23.7758	+	12.2225i	−1.44162	+	0.741096i
$273$	−1.25686	+	1.25686i	−0.0760685	+	0.0760685i
$274$	24.4955	+	12.4533i	1.47983	+	0.752333i
$275$	−4.51576	−	7.16874i	−0.272310	−	0.432291i
$276$	−0.285234	−	0.174086i	−0.0171691	−	0.0104787i
$277$	−1.23834	+	2.98963i	−0.0744049	+	0.179629i	−0.956706	−	0.291056i	$-0.905993\pi$
$277$	−1.23834	+	2.98963i	−0.0744049	+	0.179629i	0.882301	+	0.470685i	$0.155993\pi$
$278$	−20.9399	−	1.62904i	−1.25589	−	0.0977031i
$279$	−2.54523	−	2.54523i	−0.152379	−	0.152379i
$280$	−25.3076	+	6.31396i	−1.51242	+	0.377331i
$281$	4.07936	−	4.07936i	0.243354	−	0.243354i	−0.574882	−	0.818236i	$-0.694952\pi$
$281$	4.07936	−	4.07936i	0.243354	−	0.243354i	0.818236	+	0.574882i	$0.194952\pi$
$282$	−2.39088	+	2.04573i	−0.142375	+	0.121822i
$283$	−10.2898	−	4.26219i	−0.611668	−	0.253361i	0.0552736	−	0.998471i	$-0.482397\pi$
$283$	−10.2898	−	4.26219i	−0.611668	−	0.253361i	−0.666941	+	0.745110i	$0.732397\pi$
$284$	1.10853	−	7.08151i	0.0657792	−	0.420210i
$285$	−0.618863	+	0.0525537i	−0.0366583	+	0.00311301i
$286$	1.24516	+	3.82049i	0.0736277	+	0.225910i
$287$	−26.9907	−	26.9907i	−1.59321	−	1.59321i
$288$	0.0747201	+	16.5967i	0.00440292	+	0.977969i
$289$			27.6675i			1.62750i
$290$	−8.26971	−	8.15348i	−0.485614	−	0.478789i
$291$	−0.0192688	+	0.0465191i	−0.00112956	+	0.00272700i
$292$	9.15199	−	6.67452i	0.535580	−	0.390597i
$293$	0.300541	−	0.725570i	0.0175578	−	0.0423883i	−0.914858	−	0.403777i	$-0.867697\pi$
$293$	0.300541	−	0.725570i	0.0175578	−	0.0423883i	0.932415	+	0.361389i	$0.117697\pi$
$294$	3.62709	+	0.282172i	0.211536	+	0.0164566i
$295$	26.7632	−	13.8454i	1.55822	−	0.806112i
$296$	−3.66426	+	15.4464i	−0.212981	+	0.897805i
$297$	2.58444			0.149964
$298$	0.215128	−	2.76529i	0.0124620	−	0.160189i
$299$	−1.00704	+	0.417128i	−0.0582383	+	0.0241231i
$300$	2.38833	+	0.949901i	0.137890	+	0.0548426i
$301$	−11.7781	+	28.4347i	−0.678876	+	1.63895i
$302$	7.14093	−	2.32734i	0.410915	−	0.133923i
$303$	1.62665	+	1.62665i	0.0934487	+	0.0934487i
$304$	3.29703	+	2.79546i	0.189098	+	0.160330i
$305$	−0.273705	+	0.860425i	−0.0156723	+	0.0492678i
$306$	24.7196	+	12.5672i	1.41312	+	0.718421i
$307$	9.90202	−	4.10155i	0.565138	−	0.234088i	−0.0817758	−	0.996651i	$-0.526059\pi$
$307$	9.90202	−	4.10155i	0.565138	−	0.234088i	0.646914	+	0.762563i	$0.276059\pi$
$308$	7.28132	−	11.9302i	0.414892	−	0.679786i
$309$	−0.728331	−	1.75835i	−0.0414333	−	0.100029i
$310$	3.59474	+	1.45927i	0.204168	+	0.0828811i
$311$	18.0584	−	18.0584i	1.02400	−	1.02400i	0.0242933	−	0.999705i	$-0.492266\pi$
$311$	18.0584	−	18.0584i	1.02400	−	1.02400i	0.999705	−	0.0242933i	$-0.00773356\pi$
$312$	−0.988145	−	0.713859i	−0.0559427	−	0.0404143i
$313$	−1.18689			−0.0670870			−0.0335435	−	0.999437i	$-0.510679\pi$
$313$	−1.18689			−0.0670870			−0.0335435	+	0.999437i	$0.510679\pi$
$314$	−10.7579	−	0.836917i	−0.607102	−	0.0472300i
$315$	20.6819	+	17.4443i	1.16530	+	0.982873i
$316$	−19.2191	+	14.0164i	−1.08116	+	0.788486i
$317$	25.4048	−	10.5230i	1.42688	−	0.591031i	0.470298	−	0.882508i	$-0.344146\pi$
$317$	25.4048	−	10.5230i	1.42688	−	0.591031i	0.956578	+	0.291476i	$0.0941464\pi$
$318$	3.15281	+	1.60286i	0.176801	+	0.0898841i
$319$	6.22292			0.348416
$320$	−7.03655	−	16.4465i	−0.393355	−	0.919387i
$321$	−2.50787			−0.139976
$322$	3.37966	+	1.71819i	0.188341	+	0.0957510i
$323$	6.67264	−	2.76390i	0.371275	−	0.153787i
$324$	13.5895	−	9.91079i	0.754972	−	0.550599i
$325$	7.09393	−	4.46864i	0.393501	−	0.247875i
$326$	15.6015	+	1.21373i	0.864085	+	0.0672222i
$327$	0.920997			0.0509313
$328$	15.3299	−	21.2202i	0.846455	−	1.17169i
$329$	25.2445	−	25.2445i	1.39177	−	1.39177i
$330$	−1.26868	+	0.536056i	−0.0698387	+	0.0295089i
$331$	−7.31472	−	17.6593i	−0.402053	−	0.970643i	−0.987167	−	0.159691i	$-0.948950\pi$
$331$	−7.31472	−	17.6593i	−0.402053	−	0.970643i	0.585114	−	0.810951i	$-0.301050\pi$
$332$	−17.6346	+	28.8937i	−0.967822	+	1.58575i
$333$	15.2138	−	6.30176i	0.833710	−	0.345334i
$334$	−7.16268	−	3.64145i	−0.391925	−	0.199251i
$335$	−22.0618	+	11.4132i	−1.20536	+	0.623571i
$336$	0.347897	+	4.22581i	0.0189793	+	0.230537i
$337$	−11.9699	−	11.9699i	−0.652040	−	0.652040i	0.301444	−	0.953484i	$-0.402531\pi$
$337$	−11.9699	−	11.9699i	−0.652040	−	0.652040i	−0.953484	+	0.301444i	$0.902531\pi$
$338$	13.6992	−	4.46479i	0.745139	−	0.242852i
$339$	0.566350	−	1.36729i	0.0307599	−	0.0742610i
$340$	−29.8146	−	2.10728i	−1.61692	−	0.114283i
$341$	−1.92065	+	0.795559i	−0.104009	+	0.0430819i
$342$	0.347775	−	4.47035i	0.0188055	−	0.241729i
$343$	−12.4076			−0.669946
$344$	−20.5379	−	4.87209i	−1.10733	−	0.262685i
$345$	−0.171666	−	0.331830i	−0.00924218	−	0.0178651i
$346$	−10.6300	−	0.826966i	−0.571470	−	0.0444580i
$347$	−4.09549	+	9.88739i	−0.219858	+	0.530783i	−0.994870	−	0.101163i	$-0.967744\pi$
$347$	−4.09549	+	9.88739i	−0.219858	+	0.530783i	0.775012	+	0.631946i	$0.217744\pi$
$348$	−1.52530	+	1.11240i	−0.0817646	+	0.0596307i
$349$	8.27757	−	19.9838i	0.443088	−	1.06971i	−0.531771	−	0.846888i	$-0.678473\pi$
$349$	8.27757	−	19.9838i	0.443088	−	1.06971i	0.974859	−	0.222821i	$-0.0715267\pi$
$350$	−27.8518	−	8.64320i	−1.48874	−	0.461999i
$351$			2.55747i			0.136508i
$352$	8.87228	+	3.62831i	0.472894	+	0.193390i
$353$	−11.7641	−	11.7641i	−0.626138	−	0.626138i	0.320956	−	0.947094i	$-0.395996\pi$
$353$	−11.7641	−	11.7641i	−0.626138	−	0.626138i	−0.947094	+	0.320956i	$0.895996\pi$
$354$	−1.51786	−	4.65722i	−0.0806734	−	0.247529i
$355$	5.16680	−	6.12576i	0.274225	−	0.325121i
$356$	−2.70336	+	17.2695i	−0.143278	+	0.915284i
$357$	6.54527	+	2.71114i	0.346412	+	0.143489i
$358$	12.0234	−	10.2877i	0.635458	−	0.543722i
$359$	−6.92403	+	6.92403i	−0.365436	+	0.365436i	−0.865810	−	0.500373i	$-0.833196\pi$
$359$	−6.92403	+	6.92403i	−0.365436	+	0.365436i	0.500373	+	0.865810i	$0.333196\pi$
$360$	−9.55456	+	15.9069i	−0.503569	+	0.838367i
$361$	12.6093	+	12.6093i	0.663645	+	0.663645i
$362$	−16.2280	−	1.26247i	−0.852927	−	0.0663541i
$363$	−0.799545	+	1.93027i	−0.0419652	+	0.101313i
$364$	11.8057	+	7.20534i	0.618788	+	0.377662i
$365$	12.6189	−	1.07159i	0.660504	−	0.0560898i
$366$	0.130839	+	0.0665175i	0.00683906	+	0.00347692i
$367$	21.8025	−	21.8025i	1.13808	−	1.13808i	0.149285	−	0.988794i	$-0.452303\pi$
$367$	21.8025	−	21.8025i	1.13808	−	1.13808i	0.988794	−	0.149285i	$-0.0476971\pi$
$368$	−0.794590	+	2.47580i	−0.0414209	+	0.129060i
$369$	−27.1548			−1.41362
$370$	−12.4612	+	12.6389i	−0.647828	+	0.657063i
$371$	−37.0739	−	15.3565i	−1.92478	−	0.797271i
$372$	0.328558	−	0.538331i	0.0170349	−	0.0279112i
$373$	−28.1887	−	11.6761i	−1.45956	−	0.604568i	−0.495106	−	0.868833i	$-0.664871\pi$
$373$	−28.1887	−	11.6761i	−1.45956	−	0.604568i	−0.964450	+	0.264265i	$0.914871\pi$
$374$	12.1692	−	10.4124i	0.629255	−	0.538415i
$375$	1.73189	+	2.29316i	0.0894346	+	0.118418i
$376$	19.8473	+	14.3381i	1.02355	+	0.739433i
$377$			6.15798i			0.317152i
$378$	6.75905	−	5.78331i	0.347648	−	0.297461i
$379$	−2.73483	−	6.60247i	−0.140479	−	0.339146i	0.837945	−	0.545755i	$-0.183757\pi$
$379$	−2.73483	−	6.60247i	−0.140479	−	0.339146i	−0.978424	+	0.206609i	$0.933757\pi$
$380$	1.53005	+	4.58423i	0.0784897	+	0.235166i
$381$	−2.60333	−	1.07833i	−0.133373	−	0.0552447i
$382$	15.1103	−	29.7218i	0.773110	−	1.52070i
$383$	1.73926	−	1.73926i	0.0888718	−	0.0888718i	−0.661273	−	0.750145i	$-0.729984\pi$
$383$	1.73926	−	1.73926i	0.0888718	−	0.0888718i	0.750145	+	0.661273i	$0.229984\pi$
$384$	−2.82328	+	0.696658i	−0.144075	+	0.0355512i
$385$	13.8791	−	7.18010i	0.707346	−	0.365932i
$386$	2.05228	+	6.29698i	0.104458	+	0.320508i
$387$	8.37897	+	20.2286i	0.425927	+	1.02828i
$388$	0.387084	+	0.0605938i	0.0196512	+	0.00307618i
$389$	1.99934	−	0.828156i	0.101371	−	0.0419892i	−0.331422	−	0.943483i	$-0.607528\pi$
$389$	1.99934	−	0.828156i	0.101371	−	0.0419892i	0.432793	+	0.901494i	$0.357528\pi$
$390$	−0.530462	−	1.25544i	−0.0268610	−	0.0635719i
$391$	3.07203	+	3.07203i	0.155359	+	0.155359i
$392$	−4.50392	−	27.9478i	−0.227482	−	1.41158i
$393$		−	0.528787i		−	0.0266738i
$394$	−10.0803	−	11.7810i	−0.507837	−	0.593517i
$395$	−26.4996	+	2.25034i	−1.33334	+	0.113227i
$396$	−2.33857	−	9.66416i	−0.117518	−	0.485642i
$397$	−11.1213	−	26.8492i	−0.558163	−	1.34752i	−0.911219	−	0.411922i	$-0.864858\pi$
$397$	−11.1213	−	26.8492i	−0.558163	−	1.34752i	0.353056	−	0.935602i	$-0.385142\pi$
$398$	24.2972	−	7.91882i	1.21791	−	0.396935i
$399$		−	1.14552i		−	0.0573478i
$400$	2.81313	−	19.8012i	0.140657	−	0.990058i
$401$			10.9234i			0.545488i	0.962087	+	0.272744i	$0.0879312\pi$
$401$			10.9234i			0.545488i	−0.962087	+	0.272744i	$0.912069\pi$
$402$	1.25122	+	3.83909i	0.0624052	+	0.191477i
$403$	−0.787257	−	1.90061i	−0.0392161	−	0.0946760i
$404$	9.32530	−	15.2792i	0.463951	−	0.760168i
$405$	18.7374	−	1.59118i	0.931070	−	0.0790662i
$406$	16.2747	−	13.9253i	0.807700	−	0.691100i
$407$		−	9.51068i		−	0.471427i
$408$	−1.12148	+	4.72754i	−0.0555217	+	0.234048i
$409$	14.0669	+	14.0669i	0.695565	+	0.695565i	0.963451	−	0.267886i	$-0.0863250\pi$
$409$	14.0669	+	14.0669i	0.695565	+	0.695565i	−0.267886	+	0.963451i	$0.586325\pi$
$410$	26.9604	−	11.3915i	1.33148	−	0.562588i
$411$	4.61414	−	1.91124i	0.227599	−	0.0942744i
$412$	−11.9653	+	8.72628i	−0.589489	+	0.429913i
$413$	21.2678	+	51.3450i	1.04652	+	2.52652i
$414$	2.56442	−	0.835784i	0.126034	−	0.0410765i
$415$	−33.6138	+	17.3894i	−1.65003	+	0.853613i
$416$	−3.59045	+	8.77971i	−0.176036	+	0.430460i
$417$	−2.69922	+	2.69922i	−0.132181	+	0.132181i
$418$	−2.30846	−	1.17360i	−0.112910	−	0.0574027i
$419$	−8.44915	−	3.49975i	−0.412768	−	0.170974i	0.166629	−	0.986020i	$-0.446712\pi$
$419$	−8.44915	−	3.49975i	−0.412768	−	0.170974i	−0.579397	+	0.815046i	$0.696712\pi$
$420$	−2.11841	+	4.24092i	−0.103368	+	0.206936i
$421$	7.01800	+	16.9430i	0.342036	+	0.825749i	0.997510	+	0.0705306i	$0.0224692\pi$
$421$	7.01800	+	16.9430i	0.342036	+	0.825749i	−0.655473	+	0.755218i	$0.727531\pi$
$422$	12.5156	+	14.6271i	0.609248	+	0.712038i
$423$		−	25.3980i		−	1.23489i
$424$	6.35235	−	26.7779i	0.308497	−	1.30045i
$425$	−27.2754	−	19.3065i	−1.32305	−	0.936502i
$426$	−0.846940	−	0.989833i	−0.0410344	−	0.0479576i
$427$	−1.53854	−	0.637283i	−0.0744550	−	0.0308403i
$428$	4.58967	+	18.9668i	0.221850	+	0.916796i
$429$	0.674720	+	0.279478i	0.0325758	+	0.0134933i
$430$	−16.8050	−	16.5688i	−0.810407	−	0.799017i
$431$	−0.0903042			−0.00434980			−0.00217490	−	0.999998i	$-0.500692\pi$
$431$	−0.0903042			−0.00434980			−0.00217490	+	0.999998i	$0.500692\pi$
$432$	4.65332	+	3.94541i	0.223883	+	0.189824i
$433$	−13.5561	+	13.5561i	−0.651466	+	0.651466i	−0.953346	−	0.301880i	$-0.902386\pi$
$433$	−13.5561	+	13.5561i	−0.651466	+	0.651466i	0.301880	+	0.953346i	$0.402386\pi$
$434$	−3.24279	+	6.37853i	−0.155659	+	0.306179i
$435$	−2.10311	+	0.178595i	−0.100836	+	0.00856299i
$436$	−1.68553	−	6.96544i	−0.0807220	−	0.333584i
$437$	0.268826	−	0.649002i	0.0128597	−	0.0310460i
$438$	0.159676	−	2.05251i	0.00762964	−	0.0980726i
$439$	20.8236	+	20.8236i	0.993856	+	0.993856i	0.999981	−	0.00612500i	$-0.00194966\pi$
$439$	20.8236	+	20.8236i	0.993856	+	0.993856i	−0.00612500	+	0.999981i	$0.501950\pi$
$440$	6.37598	+	8.61391i	0.303963	+	0.410652i
$441$	−20.7637	+	20.7637i	−0.988750	+	0.988750i
$442$	10.3038	+	12.0422i	0.490102	+	0.572790i
$443$	0.514885	+	0.213272i	0.0244629	+	0.0101329i	0.394881	−	0.918732i	$-0.370786\pi$
$443$	0.514885	+	0.213272i	0.0244629	+	0.0101329i	−0.370418	+	0.928865i	$0.620786\pi$
$444$	1.70011	+	2.33116i	0.0806837	+	0.110632i
$445$	−12.6002	+	14.9388i	−0.597305	+	0.708166i
$446$	−28.1079	+	9.16080i	−1.33095	+	0.433776i
$447$	−0.356454	−	0.356454i	−0.0168597	−	0.0168597i
$448$	31.3228	−	10.3648i	1.47986	−	0.489691i
$449$			20.4638i			0.965746i	0.875690	+	0.482873i	$0.160407\pi$
$449$			20.4638i			0.965746i	−0.875690	+	0.482873i	$0.839593\pi$
$450$	−18.3584	+	9.66267i	−0.865424	+	0.455503i
$451$	−6.00173	+	14.4895i	−0.282610	+	0.682282i
$452$	−11.3772	−	1.78097i	−0.535138	−	0.0837700i
$453$	0.522377	−	1.26113i	0.0245434	−	0.0592530i
$454$	−1.79685	+	23.0970i	−0.0843302	+	1.08399i
$455$	7.10518	+	13.7343i	0.333096	+	0.643874i
$456$	0.775617	−	0.124994i	0.0363216	−	0.00585339i
$457$	9.46550			0.442777			0.221389	−	0.975186i	$-0.428941\pi$
$457$	9.46550			0.442777			0.221389	+	0.975186i	$0.428941\pi$
$458$	0.834966	+	0.0649569i	0.0390154	+	0.00303523i
$459$	9.41753	−	3.90087i	0.439573	−	0.182077i
$460$	−2.19544	+	1.90558i	−0.102363	+	0.0888483i
$461$	−7.36381	+	17.7778i	−0.342967	+	0.827995i	0.654446	+	0.756109i	$0.272902\pi$
$461$	−7.36381	+	17.7778i	−0.342967	+	0.827995i	−0.997413	+	0.0718864i	$0.977098\pi$
$462$	−0.787147	−	2.41519i	−0.0366214	−	0.112365i
$463$	11.6637	+	11.6637i	0.542059	+	0.542059i	0.924132	−	0.382073i	$-0.124790\pi$
$463$	11.6637	+	11.6637i	0.542059	+	0.542059i	−0.382073	+	0.924132i	$0.624790\pi$
$464$	11.2044	+	9.49992i	0.520153	+	0.441023i
$465$	0.626273	−	0.323990i	0.0290427	−	0.0150247i
$466$	−1.58241	+	3.11258i	−0.0733037	+	0.144187i
$467$	28.2491	−	11.7011i	1.30721	−	0.541464i	0.383142	−	0.923690i	$-0.374842\pi$
$467$	28.2491	−	11.7011i	1.30721	−	0.541464i	0.924069	+	0.382225i	$0.124842\pi$
$468$	9.56332	−	2.31417i	0.442064	−	0.106973i
$469$	−17.5317	−	42.3253i	−0.809540	−	1.95440i
$470$	10.6545	+	25.2161i	0.491458	+	1.16313i
$471$	−1.38672	+	1.38672i	−0.0638968	+	0.0638968i
$472$	−32.4444	+	20.0027i	−1.49337	+	0.920699i
$473$	12.6456			0.581447
$474$	−0.335319	+	4.31025i	−0.0154017	+	0.197976i
$475$	−1.19637	+	5.26916i	−0.0548932	+	0.241765i
$476$	8.52559	−	54.4631i	0.390770	−	2.49631i
$477$	−26.3746	+	10.9247i	−1.20761	+	0.500209i
$478$	−13.4270	+	26.4108i	−0.614139	+	1.20800i
$479$	5.95562			0.272119			0.136060	−	0.990701i	$-0.456556\pi$
$479$	5.95562			0.272119			0.136060	+	0.990701i	$0.456556\pi$
$480$	−3.10262	−	0.971599i	−0.141615	−	0.0443472i
$481$	9.41144			0.429125
$482$	−11.6062	+	22.8292i	−0.528646	+	1.03984i
$483$	0.636614	−	0.263694i	0.0289669	−	0.0119985i
$484$	16.0618	+	2.51429i	0.730080	+	0.114286i
$485$	0.334842	+	0.282424i	0.0152044	+	0.0128242i
$486$	0.738988	−	9.49907i	0.0335212	−	0.430887i
$487$	−27.0205			−1.22441			−0.612207	−	0.790697i	$-0.709718\pi$
$487$	−27.0205			−1.22441			−0.612207	+	0.790697i	$0.709718\pi$
$488$	0.263617	−	1.11126i	0.0119334	−	0.0503044i
$489$	2.01108	−	2.01108i	0.0909440	−	0.0909440i
$490$	11.9046	−	29.3255i	0.537795	−	1.32479i
$491$	12.6646	+	30.5751i	0.571547	+	1.37984i	0.900238	+	0.435398i	$0.143392\pi$
$491$	12.6646	+	30.5751i	0.571547	+	1.37984i	−0.328692	+	0.944437i	$0.606608\pi$
$492$	−1.11902	−	4.62437i	−0.0504495	−	0.208483i
$493$	22.6759	−	9.39267i	1.02127	−	0.423024i
$494$	1.16135	−	2.28437i	0.0522518	−	0.102779i
$495$	3.36988	−	10.5936i	0.151465	−	0.476148i
$496$	−4.67265	−	1.49965i	−0.209808	−	0.0673364i
$497$	10.4513	+	10.4513i	0.468805	+	0.468805i
$498$	1.90638	+	5.84932i	0.0854271	+	0.262114i
$499$	−4.17405	+	10.0771i	−0.186856	+	0.451111i	−0.989351	−	0.145548i	$-0.953505\pi$
$499$	−4.17405	+	10.0771i	−0.186856	+	0.451111i	0.802495	+	0.596659i	$0.203505\pi$
$500$	14.1734	−	17.2949i	0.633855	−	0.773452i
$501$	−1.34921	+	0.558861i	−0.0602782	+	0.0249681i
$502$	4.54719	+	0.353752i	0.202951	+	0.0157887i
$503$	−6.86620			−0.306149			−0.153074	−	0.988215i	$-0.548917\pi$
$503$	−6.86620			−0.306149			−0.153074	+	0.988215i	$0.548917\pi$
$504$	−27.7419	−	20.0414i	−1.23572	−	0.892715i
$505$	17.7752	−	9.19566i	0.790987	−	0.409202i
$506$	0.120822	−	1.55306i	0.00537119	−	0.0690421i
$507$	1.00213	−	2.41936i	0.0445062	−	0.107447i
$508$	−3.39099	+	21.6623i	−0.150451	+	0.961107i
$509$	−9.56661	+	23.0958i	−0.424033	+	1.02371i	0.557113	+	0.830436i	$0.311909\pi$
$509$	−9.56661	+	23.0958i	−0.424033	+	1.02371i	−0.981146	+	0.193269i	$0.938091\pi$
$510$	−3.81389	+	3.86826i	−0.168882	+	0.171289i
$511$			23.3577i			1.03328i
$512$	10.4357	+	20.0773i	0.461196	+	0.887298i
$513$	−1.16546	−	1.16546i	−0.0514563	−	0.0514563i
$514$	−4.97320	+	1.62084i	−0.219359	+	0.0714924i
$515$	−16.4980	+	1.40100i	−0.726988	+	0.0617357i
$516$	−3.09957	+	2.26051i	−0.136451	+	0.0995134i
$517$	−13.5520	−	5.61343i	−0.596018	−	0.246879i
$518$	−21.2824	−	24.8732i	−0.935097	−	1.09286i
$519$	−1.37023	+	1.37023i	−0.0601466	+	0.0601466i
$520$	−8.52403	+	6.30945i	−0.373803	+	0.276688i
$521$	14.7050	+	14.7050i	0.644238	+	0.644238i	0.951594	−	0.307357i	$-0.0994445\pi$
$521$	14.7050	+	14.7050i	0.644238	+	0.644238i	−0.307357	+	0.951594i	$0.599444\pi$
$522$	1.18186	−	15.1918i	0.0517285	−	0.664927i
$523$	−3.19764	+	7.71979i	−0.139823	+	0.337563i	−0.978243	−	0.207462i	$-0.933480\pi$
$523$	−3.19764	+	7.71979i	−0.139823	+	0.337563i	0.838420	+	0.545025i	$0.183480\pi$
$524$	−3.99917	+	0.967737i	−0.174705	+	0.0422758i
$525$	−4.48455	+	2.82492i	−0.195722	+	0.123290i
$526$	−9.09799	+	17.8956i	−0.396691	+	0.780286i
$527$	−5.79793	+	5.79793i	−0.252562	+	0.252562i
$528$	1.54940	−	0.796501i	0.0674290	−	0.0346633i
$529$	−22.5774			−0.981628
$530$	21.6028	−	21.9107i	0.938365	−	0.951742i
$531$	36.5272	+	15.1300i	1.58514	+	0.656588i
$532$	−8.66349	+	2.09643i	−0.375610	+	0.0908917i
$533$	−14.3383	−	5.93910i	−0.621059	−	0.257251i
$534$	2.06542	+	2.41389i	0.0893793	+	0.104459i
$535$	−6.61371	+	20.7910i	−0.285936	+	0.898874i
$536$	26.7449	−	16.4888i	1.15520	−	0.712210i
$537$		−	2.87597i		−	0.124107i
$538$	−17.1055	−	19.9915i	−0.737471	−	0.861895i
$539$	6.49008	+	15.6684i	0.279548	+	0.674888i
$540$	2.15945	+	6.47003i	0.0929281	+	0.278426i
$541$	−33.9033	−	14.0432i	−1.45762	−	0.603765i	−0.493621	−	0.869677i	$-0.664327\pi$
$541$	−33.9033	−	14.0432i	−1.45762	−	0.603765i	−0.963997	+	0.265911i	$0.914327\pi$
$542$	10.5182	+	5.34734i	0.451793	+	0.229688i
$543$	−2.09185	+	2.09185i	−0.0897697	+	0.0897697i
$544$	37.8065	−	0.170209i	1.62094	−	0.00729765i
$545$	2.42884	−	7.63535i	0.104040	−	0.327063i
$546$	2.38999	−	0.778933i	0.102282	−	0.0333353i
$547$	−17.0182	−	41.0857i	−0.727647	−	1.75670i	−0.650282	−	0.759693i	$-0.725349\pi$
$547$	−17.0182	−	41.0857i	−0.727647	−	1.75670i	−0.0773651	−	0.997003i	$-0.524651\pi$
$548$	−22.8989	−	31.3986i	−0.978193	−	1.34128i
$549$	−1.09452	+	0.453366i	−0.0467131	+	0.0193492i
$550$	1.09832	+	11.9314i	0.0468324	+	0.508759i
$551$	−2.80624	−	2.80624i	−0.119550	−	0.119550i
$552$	0.248008	+	0.402270i	0.0105559	+	0.0171217i
$553$		−	49.0510i		−	2.08586i
$554$	3.47718	−	2.97522i	0.147731	−	0.126405i
$555$	0.272953	+	3.21425i	0.0115862	+	0.136437i
$556$	25.3539	+	15.4741i	1.07524	+	0.656250i
$557$	5.89750	+	14.2378i	0.249885	+	0.603276i	0.998194	−	0.0600745i	$-0.0191338\pi$
$557$	5.89750	+	14.2378i	0.249885	+	0.603276i	−0.748309	+	0.663351i	$0.769134\pi$
$558$	1.57740	+	4.83991i	0.0667767	+	0.204890i
$559$			12.5137i			0.529273i
$560$	35.9507	+	8.26006i	1.51919	+	0.349051i
$561$		−	2.91084i		−	0.122896i
$562$	−7.75714	+	2.52817i	−0.327215	+	0.106644i
$563$	3.01028	+	7.26747i	0.126868	+	0.306287i	0.974533	−	0.224246i	$-0.0719918\pi$
$563$	3.01028	+	7.26747i	0.126868	+	0.306287i	−0.847664	+	0.530533i	$0.821992\pi$
$564$	4.32519	−	1.04663i	0.182123	−	0.0440709i
$565$	−9.84169	−	8.30101i	−0.414043	−	0.349226i
$566$	10.2402	+	11.9680i	0.430430	+	0.503050i
$567$			34.6831i			1.45655i
$568$	−5.93604	+	8.21685i	−0.249071	+	0.344771i
$569$	−2.91139	−	2.91139i	−0.122052	−	0.122052i	0.643443	−	0.765494i	$-0.277506\pi$
$569$	−2.91139	−	2.91139i	−0.122052	−	0.122052i	−0.765494	+	0.643443i	$0.777506\pi$
$570$	0.813852	+	0.330380i	0.0340885	+	0.0138381i
$571$	27.0095	−	11.1877i	1.13031	−	0.468191i	0.262425	−	0.964952i	$-0.415478\pi$
$571$	27.0095	−	11.1877i	1.13031	−	0.468191i	0.867887	+	0.496762i	$0.165478\pi$
$572$	0.878862	−	5.61433i	0.0367471	−	0.234747i
$573$	−2.31901	−	5.59858i	−0.0968780	−	0.233884i
$574$	16.7274	+	51.3244i	0.698189	+	2.14224i
$575$	−3.20369	+	0.548066i	−0.133603	+	0.0228559i
$576$	10.5427	−	20.9705i	0.439279	−	0.873771i
$577$	−0.327991	+	0.327991i	−0.0136545	+	0.0136545i	−0.713901	−	0.700247i	$-0.753073\pi$
$577$	−0.327991	+	0.327991i	−0.0136545	+	0.0136545i	0.700247	+	0.713901i	$0.253073\pi$
$578$	17.7322	−	34.8790i	0.737562	−	1.45078i
$579$	1.11208	+	0.460639i	0.0462165	+	0.0191435i
$580$	5.19962	+	15.5788i	0.215902	+	0.646874i
$581$	−26.7117	−	64.4877i	−1.10819	−	2.67540i
$582$	0.0541055	−	0.0462948i	0.00224275	−	0.00191898i
$583$			16.4877i			0.682851i
$584$	−15.8152	+	2.54869i	−0.654437	+	0.105466i
$585$	10.4831	+	3.33472i	0.433422	+	0.137874i
$586$	−0.843899	+	0.722073i	−0.0348611	+	0.0298286i
$587$	15.0418	+	6.23054i	0.620843	+	0.257162i	0.670857	−	0.741587i	$-0.265926\pi$
$587$	15.0418	+	6.23054i	0.620843	+	0.257162i	−0.0500135	+	0.998749i	$0.515926\pi$
$588$	−4.39165	−	2.68034i	−0.181108	−	0.110535i
$589$	1.22488	+	0.507362i	0.0504704	+	0.0209055i
$590$	−42.6127	+	0.301580i	−1.75434	+	0.0124158i
$591$	−2.81798			−0.115916
$592$	14.5190	−	17.1241i	0.596728	−	0.703796i
$593$	−4.64086	+	4.64086i	−0.190577	+	0.190577i	−0.795945	−	0.605368i	$-0.793026\pi$
$593$	−4.64086	+	4.64086i	−0.190577	+	0.190577i	0.605368	+	0.795945i	$0.293026\pi$
$594$	−3.25808	−	1.65638i	−0.133680	−	0.0679621i
$595$	39.7373	−	47.1125i	1.62907	−	1.93142i
$596$	−2.04349	+	3.34819i	−0.0837045	+	0.137147i
$597$	1.77740	−	4.29102i	0.0727440	−	0.175620i
$598$	1.53686	+	0.119561i	0.0628468	+	0.00488922i
$599$	13.1614	+	13.1614i	0.537762	+	0.537762i	0.922871	−	0.385109i	$-0.125836\pi$
$599$	13.1614	+	13.1614i	0.537762	+	0.537762i	−0.385109	+	0.922871i	$0.625836\pi$
$600$	−2.40205	−	2.72818i	−0.0980634	−	0.111378i
$601$	17.4634	−	17.4634i	0.712348	−	0.712348i	−0.254678	−	0.967026i	$-0.581970\pi$
$601$	17.4634	−	17.4634i	0.712348	−	0.712348i	0.967026	+	0.254678i	$0.0819696\pi$
$602$	33.0720	−	28.2977i	1.34791	−	1.15333i
$603$	−30.1105	−	12.4722i	−1.22619	−	0.507906i
$604$	−10.4938	−	1.64269i	−0.426988	−	0.0668402i
$605$	13.8940	+	11.7190i	0.564872	+	0.476444i
$606$	−1.00811	−	3.09317i	−0.0409517	−	0.125651i
$607$	−20.0063	−	20.0063i	−0.812031	−	0.812031i	0.172907	−	0.984938i	$-0.444684\pi$
$607$	−20.0063	−	20.0063i	−0.812031	−	0.812031i	−0.984938	+	0.172907i	$0.944684\pi$
$608$	−2.36478	−	5.63718i	−0.0959047	−	0.228618i
$609$		−	3.89287i		−	0.157747i
$610$	0.896497	−	0.909277i	0.0362981	−	0.0368155i
$611$	5.55486	−	13.4106i	0.224726	−	0.542536i
$612$	−23.1084	−	31.6858i	−0.934101	−	1.28082i
$613$	−5.60914	+	13.5417i	−0.226551	+	0.546943i	−0.995753	−	0.0920629i	$-0.970654\pi$
$613$	−5.60914	+	13.5417i	−0.226551	+	0.546943i	0.769202	+	0.639006i	$0.220654\pi$
$614$	−15.1117	−	1.17563i	−0.609859	−	0.0474444i
$615$	1.61251	−	5.06913i	0.0650228	−	0.204407i
$616$	−16.8253	+	10.3732i	−0.677912	+	0.417948i
$617$	3.56421			0.143490			0.0717449	−	0.997423i	$-0.477143\pi$
$617$	3.56421			0.143490			0.0717449	+	0.997423i	$0.477143\pi$
$618$	−0.208761	+	2.68345i	−0.00839761	+	0.107944i
$619$	−5.87879	+	2.43508i	−0.236289	+	0.0978740i	−0.497686	−	0.867357i	$-0.665817\pi$
$619$	−5.87879	+	2.43508i	−0.236289	+	0.0978740i	0.261397	+	0.965231i	$0.415817\pi$
$620$	−3.59646	−	4.14352i	−0.144437	−	0.166408i
$621$	0.379411	−	0.915979i	0.0152252	−	0.0367570i
$622$	−34.3391	+	11.1916i	−1.37687	+	0.448744i
$623$	−25.4874	−	25.4874i	−1.02113	−	1.02113i
$624$	0.788190	+	1.53323i	0.0315529	+	0.0613785i
$625$	23.5783	−	8.31045i	0.943132	−	0.332418i
$626$	1.49625	+	0.760683i	0.0598023	+	0.0304030i
$627$	−0.434836	+	0.180115i	−0.0173657	+	0.00719310i
$628$	13.0255	+	7.94983i	0.519776	+	0.317233i
$629$	−14.3551	−	34.6563i	−0.572376	−	1.38184i
$630$	−14.8926	−	35.2463i	−0.593335	−	1.40425i
$631$	12.3669	−	12.3669i	0.492319	−	0.492319i	−0.416717	−	0.909036i	$-0.636819\pi$
$631$	12.3669	−	12.3669i	0.492319	−	0.492319i	0.909036	+	0.416717i	$0.136819\pi$
$632$	33.2118	−	5.35223i	1.32109	−	0.212900i
$633$	3.49878			0.139064
$634$	−38.7709	−	3.01621i	−1.53979	−	0.119789i
$635$	−15.8052	+	18.7386i	−0.627210	+	0.743620i
$636$	−2.94731	−	4.04130i	−0.116869	−	0.160248i
$637$	−15.5049	+	6.42236i	−0.614328	+	0.254463i
$638$	−7.84493	−	3.98830i	−0.310584	−	0.157898i
$639$	10.5149			0.415961
$640$	−1.66999	+	25.2430i	−0.0660122	+	0.997819i
$641$	−40.2566			−1.59004			−0.795021	−	0.606582i	$-0.792540\pi$
$641$	−40.2566			−1.59004			−0.795021	+	0.606582i	$0.792540\pi$
$642$	3.16155	+	1.60731i	0.124776	+	0.0634353i
$643$	5.69937	−	2.36076i	0.224761	−	0.0930992i	−0.267461	−	0.963569i	$-0.586185\pi$
$643$	5.69937	−	2.36076i	0.224761	−	0.0930992i	0.492222	+	0.870469i	$0.336185\pi$
$644$	−3.15937	−	4.33208i	−0.124497	−	0.170708i
$645$	−4.27374	+	0.362925i	−0.168278	+	0.0142902i
$646$	−10.1833	−	0.792215i	−0.400655	−	0.0311693i
$647$	29.9013			1.17554			0.587770	−	0.809028i	$-0.300006\pi$
$647$	29.9013			1.17554			0.587770	+	0.809028i	$0.300006\pi$
$648$	−23.4835	+	3.78447i	−0.922518	+	0.148668i
$649$	16.1464	−	16.1464i	0.633801	−	0.633801i
$650$	−11.8069	+	1.08686i	−0.463107	+	0.0426300i
$651$	0.497678	+	1.20150i	0.0195055	+	0.0470905i
$652$	−18.8901	−	11.5291i	−0.739794	−	0.451516i
$653$	27.7399	−	11.4902i	1.08555	−	0.449648i	0.233095	−	0.972454i	$-0.425115\pi$
$653$	27.7399	−	11.4902i	1.08555	−	0.449648i	0.852452	+	0.522806i	$0.175115\pi$
$654$	−1.16106	−	0.590272i	−0.0454009	−	0.0230814i
$655$	−4.38380	−	1.39451i	−0.171289	−	0.0544879i
$656$	−32.9258	+	16.9262i	−1.28554	+	0.660857i
$657$	11.7499	+	11.7499i	0.458406	+	0.458406i
$658$	−48.0038	+	15.6452i	−1.87138	+	0.609913i
$659$	16.1349	−	38.9531i	0.628527	−	1.51740i	−0.212926	−	0.977068i	$-0.568299\pi$
$659$	16.1349	−	38.9531i	0.628527	−	1.51740i	0.841453	−	0.540330i	$-0.181701\pi$
$660$	1.94293	+	0.137325i	0.0756283	+	0.00534538i
$661$	47.2128	−	19.5562i	1.83637	−	0.760648i	0.875753	−	0.482760i	$-0.160366\pi$
$661$	47.2128	−	19.5562i	1.83637	−	0.760648i	0.960614	−	0.277888i	$-0.0896343\pi$
$662$	−2.09662	+	26.9502i	−0.0814873	+	1.04745i
$663$	2.88047			0.111868
$664$	40.7491	−	25.1227i	1.58137	−	0.974952i
$665$	−9.49672	−	3.02095i	−0.368267	−	0.117147i
$666$	−23.2181	−	1.80627i	−0.899683	−	0.0699915i
$667$	0.913561	−	2.20553i	0.0353732	−	0.0853985i
$668$	6.69582	+	9.18119i	0.259069	+	0.355231i
$669$	−2.05616	+	4.96401i	−0.0794957	+	0.191920i
$670$	35.1270	−	0.248601i	1.35707	−	0.00960431i
$671$			0.684226i			0.0264142i
$672$	2.26976	−	5.55024i	0.0875580	−	0.214105i
$673$	18.0167	+	18.0167i	0.694492	+	0.694492i	0.963217	−	0.268725i	$-0.0866023\pi$
$673$	18.0167	+	18.0167i	0.694492	+	0.694492i	−0.268725	+	0.963217i	$0.586602\pi$
$674$	7.41828	+	22.7614i	0.285741	+	0.876735i
$675$	−1.68851	+	7.43670i	−0.0649909	+	0.286239i
$676$	−20.1314	−	3.15135i	−0.774286	−	0.121206i
$677$	8.30714	+	3.44093i	0.319269	+	0.132246i	0.536562	−	0.843861i	$-0.319723\pi$
$677$	8.30714	+	3.44093i	0.319269	+	0.132246i	−0.217293	+	0.976106i	$0.569723\pi$
$678$	−1.59027	+	1.36070i	−0.0610741	+	0.0522574i
$679$	−0.571282	+	0.571282i	−0.0219238	+	0.0219238i
$680$	36.2352	+	21.7648i	1.38956	+	0.834644i
$681$	2.97727	+	2.97727i	0.114089	+	0.114089i
$682$	2.93114	+	0.228031i	0.112239	+	0.00873175i
$683$	−7.27650	+	17.5670i	−0.278428	+	0.672184i	−0.999792	−	0.0203715i	$-0.993515\pi$
$683$	−7.27650	+	17.5670i	−0.278428	+	0.672184i	0.721365	+	0.692555i	$0.243515\pi$
$684$	−3.30349	+	5.41267i	−0.126312	+	0.206958i
$685$	−3.67642	−	43.2929i	−0.140469	−	1.65414i
$686$	15.6416	+	7.95208i	0.597200	+	0.303612i
$687$	0.107630	−	0.107630i	0.00410633	−	0.00410633i
$688$	22.7686	+	19.3049i	0.868046	+	0.735991i
$689$	−16.3157			−0.621578
$690$	0.00373921	+	0.528344i	0.000142349	+	0.0201137i
$691$	−38.2391	−	15.8391i	−1.45468	−	0.602550i	−0.491375	−	0.870948i	$-0.663506\pi$
$691$	−38.2391	−	15.8391i	−1.45468	−	0.602550i	−0.963308	+	0.268398i	$0.913506\pi$
$692$	12.8707	+	7.85531i	0.489269	+	0.298614i
$693$	18.9426	+	7.84628i	0.719570	+	0.298056i
$694$	11.4999	−	9.83973i	0.436529	−	0.373511i
$695$	15.2590	+	29.4957i	0.578808	+	1.11884i
$696$	2.63581	−	0.424773i	0.0999101	−	0.0161010i
$697$			61.8574i			2.34302i
$698$	−23.2429	+	19.8875i	−0.879755	+	0.752753i
$699$	0.242856	+	0.586306i	0.00918565	+	0.0221761i
$700$	29.5719	+	28.7464i	1.11771	+	1.08651i
$701$	22.9791	+	9.51825i	0.867908	+	0.359499i	0.771795	−	0.635871i	$-0.219359\pi$
$701$	22.9791	+	9.51825i	0.867908	+	0.359499i	0.0961128	+	0.995370i	$0.469359\pi$
$702$	1.63910	−	3.22408i	0.0618637	−	0.121685i
$703$	−4.28887	+	4.28887i	−0.161758	+	0.161758i
$704$	−8.85945	−	10.2603i	−0.333903	−	0.386700i
$705$	4.74117	+	1.50819i	0.178563	+	0.0568016i
$706$	7.29073	+	22.3700i	0.274390	+	0.841906i
$707$	14.1254	+	34.1016i	0.531239	+	1.28252i
$708$	−1.07134	+	6.84394i	−0.0402635	+	0.257211i
$709$	−12.3065	+	5.09752i	−0.462181	+	0.191441i	−0.601609	−	0.798791i	$-0.705473\pi$
$709$	−12.3065	+	5.09752i	−0.462181	+	0.191441i	0.139428	+	0.990232i	$0.455473\pi$
$710$	−10.4396	+	4.41102i	−0.391790	+	0.165543i
$711$	−24.6746	−	24.6746i	−0.925370	−	0.925370i
$712$	14.4761	−	20.0383i	0.542515	−	0.750966i
$713$			0.797511i			0.0298670i
$714$	−6.51372	−	7.61269i	−0.243770	−	0.284898i
$715$	4.09632	−	4.85660i	0.153194	−	0.181627i
$716$	−21.7508	+	5.26335i	−0.812865	+	0.196700i
$717$	2.06068	+	4.97491i	0.0769574	+	0.185792i
$718$	13.1664	−	4.29114i	0.491367	−	0.160144i
$719$			26.2077i			0.977384i	0.872456	+	0.488692i	$0.162526\pi$
$719$			26.2077i			0.977384i	−0.872456	+	0.488692i	$0.837474\pi$
$720$	22.2398	−	13.9295i	0.828827	−	0.519122i
$721$		−	30.5379i		−	1.13729i
$722$	−7.81454	−	23.9772i	−0.290827	−	0.892339i
$723$	1.78122	+	4.30025i	0.0662443	+	0.159928i
$724$	19.6488	+	11.9922i	0.730241	+	0.445685i
$725$	−4.06567	+	17.9064i	−0.150995	+	0.665027i
$726$	2.24507	−	1.92097i	0.0833223	−	0.0712938i
$727$		−	5.88451i		−	0.218244i	−0.994028	−	0.109122i	$-0.965196\pi$
$727$		−	5.88451i		−	0.218244i	0.994028	−	0.109122i	$-0.0348040\pi$
$728$	−10.2650	−	16.6498i	−0.380444	−	0.617081i
$729$	16.6154	+	16.6154i	0.615385	+	0.615385i
$730$	−16.5948	−	6.73661i	−0.614202	−	0.249333i
$731$	46.0799	−	19.0869i	1.70433	−	0.705955i
$732$	−0.122311	−	0.167711i	−0.00452074	−	0.00619876i
$733$	−12.2288	−	29.5228i	−0.451680	−	1.09045i	−0.971683	−	0.236287i	$-0.924069\pi$
$733$	−12.2288	−	29.5228i	−0.451680	−	1.09045i	0.520004	−	0.854164i	$-0.325931\pi$
$734$	−41.4586	+	13.5120i	−1.53026	+	0.498737i
$735$	−2.64308	−	5.10907i	−0.0974914	−	0.188451i
$736$	2.58845	−	2.61187i	0.0954117	−	0.0962747i
$737$	−13.3100	+	13.3100i	−0.490279	+	0.490279i
$738$	34.2328	+	17.4036i	1.26012	+	0.640637i
$739$	15.9281	+	6.59764i	0.585925	+	0.242698i	0.655896	−	0.754851i	$-0.272291\pi$
$739$	15.9281	+	6.59764i	0.585925	+	0.242698i	−0.0699714	+	0.997549i	$0.522291\pi$
$740$	23.8096	−	7.94674i	0.875257	−	0.292128i
$741$	−0.178235	−	0.430298i	−0.00654764	−	0.0158074i
$742$	36.8952	+	43.1201i	1.35447	+	1.58299i
$743$			43.6105i			1.59991i	0.600058	+	0.799957i	$0.295144\pi$
$743$			43.6105i			1.59991i	−0.600058	+	0.799957i	$0.704856\pi$
$744$	−0.759215	+	0.468073i	−0.0278342	+	0.0171604i
$745$	−3.89515	+	2.01508i	−0.142707	+	0.0738268i
$746$	28.0528	+	32.7858i	1.02709	+	1.20037i
$747$	−45.8769	−	19.0028i	−1.67855	−	0.695278i
$748$	−22.0145	+	5.32716i	−0.804930	+	0.194780i
$749$	−37.1767	−	15.3991i	−1.35841	−	0.562670i
$750$	−0.713617	−	4.00085i	−0.0260576	−	0.146090i
$751$	23.0493			0.841081			0.420540	−	0.907274i	$-0.361841\pi$
$751$	23.0493			0.841081			0.420540	+	0.907274i	$0.361841\pi$
$752$	−15.8311	−	30.7956i	−0.577302	−	1.12300i
$753$	0.586147	−	0.586147i	0.0213604	−	0.0213604i
$754$	3.94668	−	7.76307i	0.143730	−	0.282714i
$755$	−9.07754	−	7.65649i	−0.330366	−	0.278648i
$756$	−12.2273	+	2.95883i	−0.444704	+	0.107611i
$757$	−11.9395	+	28.8245i	−0.433948	+	1.04764i	0.544055	+	0.839050i	$0.316888\pi$
$757$	−11.9395	+	28.8245i	−0.433948	+	1.04764i	−0.978003	+	0.208593i	$0.933112\pi$
$758$	−0.783884	+	10.0762i	−0.0284720	+	0.365983i
$759$	−0.200195	−	0.200195i	−0.00726661	−	0.00726661i
$760$	1.00920	−	6.75973i	0.0366077	−	0.245201i
$761$	−15.8143	+	15.8143i	−0.573268	+	0.573268i	−0.933040	−	0.359772i	$-0.882854\pi$
$761$	−15.8143	+	15.8143i	−0.573268	+	0.573268i	0.359772	+	0.933040i	$0.382854\pi$
$762$	2.59078	+	3.02789i	0.0938541	+	0.109689i
$763$	13.6529	+	5.65520i	0.494267	+	0.204732i
$764$	−38.0976	+	27.7845i	−1.37832	+	1.00521i
$765$	−3.71005	−	43.6889i	−0.134137	−	1.57957i
$766$	−3.30729	+	1.07790i	−0.119497	+	0.0389460i
$767$	15.9779	+	15.9779i	0.576929	+	0.576929i
$768$	4.00566	+	0.931208i	0.144542	+	0.0336021i
$769$		−	39.2686i		−	1.41606i	−0.706182	−	0.708030i	$-0.749584\pi$
$769$		−	39.2686i		−	1.41606i	0.706182	−	0.708030i	$-0.250416\pi$
$770$	−22.0985	+	0.156396i	−0.796375	+	0.00563612i
$771$	−0.363802	+	0.878296i	−0.0131020	+	0.0316310i
$772$	1.44855	−	9.25361i	0.0521345	−	0.333045i
$773$	2.28651	−	5.52014i	0.0822402	−	0.198545i	−0.877410	−	0.479741i	$-0.840731\pi$
$773$	2.28651	−	5.52014i	0.0822402	−	0.198545i	0.959651	+	0.281195i	$0.0907308\pi$
$774$	2.40166	−	30.8714i	0.0863259	−	1.10965i
$775$	−1.03438	−	6.04642i	−0.0371560	−	0.217194i
$776$	−0.449143	−	0.324472i	−0.0161233	−	0.0116479i
$777$	−5.94960			−0.213441
$778$	−3.05125	−	0.237374i	−0.109392	−	0.00851027i
$779$	9.24056	−	3.82756i	0.331077	−	0.137137i
$780$	−0.135892	+	1.92265i	−0.00486573	+	0.0688420i
$781$	2.32398	−	5.61059i	0.0831586	−	0.200763i
$782$	−1.90388	−	5.84163i	−0.0680825	−	0.208896i
$783$	−3.96063	−	3.96063i	−0.141541	−	0.141541i
$784$	−12.2340	+	38.1190i	−0.436929	+	1.36139i
$785$	7.83932	+	15.1534i	0.279797	+	0.540848i
$786$	−0.338902	+	0.666615i	−0.0120882	+	0.0237774i
$787$	30.4752	−	12.6232i	1.08632	−	0.449970i	0.233600	−	0.972333i	$-0.424949\pi$
$787$	30.4752	−	12.6232i	1.08632	−	0.449970i	0.852723	+	0.522363i	$0.174949\pi$
$788$	5.15722	+	21.3122i	0.183718	+	0.759216i
$789$	1.39629	+	3.37093i	0.0497091	+	0.120008i
$790$	34.8490	+	14.1468i	1.23987	+	0.503321i
$791$	16.7912	−	16.7912i	0.597025	−	0.597025i
$792$	−3.24568	+	13.6819i	−0.115330	+	0.486166i
$793$	−0.677086			−0.0240440
$794$	−3.18770	+	40.9752i	−0.113127	+	1.45416i
$795$	−0.473191	−	5.57221i	−0.0167824	−	0.197626i
$796$	−35.7055	−	5.58930i	−1.26555	−	0.198107i
$797$	18.7458	−	7.76477i	0.664011	−	0.275042i	−0.0251143	−	0.999685i	$-0.507995\pi$
$797$	18.7458	−	7.76477i	0.664011	−	0.275042i	0.689125	+	0.724642i	$0.257995\pi$
$798$	−0.734170	+	1.44410i	−0.0259893	+	0.0511207i
$799$	−57.8554			−2.04678
$800$	−16.2370	+	23.1594i	−0.574066	+	0.818809i
$801$	−25.6424			−0.906029
$802$	7.00085	−	13.7706i	0.247209	−	0.486256i
$803$	8.86651	−	3.67263i	0.312892	−	0.129604i
$804$	0.883141	−	5.64167i	0.0311460	−	0.198966i
$805$	−0.507237	−	5.97314i	−0.0178778	−	0.210525i
$806$	−0.225651	+	2.90056i	−0.00794823	+	0.102168i
$807$	−4.78192			−0.168332
$808$	−21.5484	+	13.2851i	−0.758072	+	0.467368i
$809$	1.75888	−	1.75888i	0.0618389	−	0.0618389i	−0.675511	−	0.737350i	$-0.736077\pi$
$809$	1.75888	−	1.75888i	0.0618389	−	0.0618389i	0.737350	+	0.675511i	$0.236077\pi$
$810$	−24.6411	−	10.0030i	−0.865801	−	0.351469i
$811$	−4.48133	−	10.8189i	−0.157361	−	0.379903i	0.825461	−	0.564459i	$-0.190915\pi$
$811$	−4.48133	−	10.8189i	−0.157361	−	0.379903i	−0.982822	+	0.184556i	$0.940915\pi$
$812$	−29.4415	+	7.12438i	−1.03319	+	0.250017i
$813$	1.98127	−	0.820668i	0.0694861	−	0.0287821i
$814$	−6.09544	+	11.9897i	−0.213645	+	0.420237i
$815$	−11.3689	−	21.9760i	−0.398234	−	0.769787i
$816$	4.44370	−	5.24101i	0.155561	−	0.183472i
$817$	−5.70259	−	5.70259i	−0.199508	−	0.199508i
$818$	−8.71793	−	26.7491i	−0.304815	−	0.935259i
$819$	−7.76441	+	18.7449i	−0.271310	+	0.655001i
$820$	−41.2885	−	2.91826i	−1.44186	−	0.101910i
$821$	−21.5004	+	8.90578i	−0.750371	+	0.310814i	−0.724893	−	0.688862i	$-0.758111\pi$
$821$	−21.5004	+	8.90578i	−0.750371	+	0.310814i	−0.0254779	+	0.999675i	$0.508111\pi$
$822$	−7.04174	−	0.547817i	−0.245609	−	0.0191073i
$823$	17.6485			0.615187			0.307594	−	0.951518i	$-0.400476\pi$
$823$	17.6485			0.615187			0.307594	+	0.951518i	$0.400476\pi$
$824$	20.6768	−	3.33217i	0.720311	−	0.116081i
$825$	1.77746	+	1.25815i	0.0618830	+	0.0438030i
$826$	6.09599	−	78.3588i	0.212106	−	2.72645i
$827$	4.59956	−	11.1043i	0.159942	−	0.386135i	−0.823510	−	0.567302i	$-0.807987\pi$
$827$	4.59956	−	11.1043i	0.159942	−	0.386135i	0.983452	+	0.181167i	$0.0579873\pi$
$828$	−3.76850	−	0.589917i	−0.130964	−	0.0205010i
$829$	−11.2515	+	27.1635i	−0.390781	+	0.943428i	0.598989	+	0.800757i	$0.295569\pi$
$829$	−11.2515	+	27.1635i	−0.390781	+	0.943428i	−0.989770	+	0.142671i	$0.954431\pi$
$830$	53.5202	−	0.378774i	1.85771	−	0.0131474i
$831$		−	0.831734i		−	0.0288525i
$832$	10.1533	−	8.76701i	0.352001	−	0.303941i
$833$	47.2989	+	47.2989i	1.63881	+	1.63881i
$834$	5.13272	−	1.67283i	0.177731	−	0.0579254i
$835$	1.07501	+	12.6592i	0.0372024	+	0.438089i
$836$	2.15799	+	2.95900i	0.0746357	+	0.102339i
$837$	1.72876	+	0.716074i	0.0597545	+	0.0247511i
$838$	8.40842	+	9.82707i	0.290464	+	0.339470i
$839$	15.5757	−	15.5757i	0.537734	−	0.537734i	−0.385129	−	0.922863i	$-0.625843\pi$
$839$	15.5757	−	15.5757i	0.537734	−	0.537734i	0.922863	+	0.385129i	$0.125843\pi$
$840$	5.38861	−	3.98862i	0.185925	−	0.137621i
$841$	10.9695	+	10.9695i	0.378260	+	0.378260i
$842$	2.01157	−	25.8570i	0.0693232	−	0.891092i
$843$	−0.567454	+	1.36995i	−0.0195441	+	0.0471837i
$844$	−6.40314	−	26.4610i	−0.220405	−	0.910825i
$845$	−17.4144	−	14.6883i	−0.599074	−	0.505292i
$846$	−16.2777	+	32.0180i	−0.559638	+	1.10080i
$847$	−23.7049	+	23.7049i	−0.814511	+	0.814511i
$848$	−25.1702	+	29.6863i	−0.864348	+	1.01943i
$849$	2.86271			0.0982478
$850$	22.0111	+	41.8197i	0.754976	+	1.43440i
$851$	−3.37079	−	1.39622i	−0.115549	−	0.0478620i
$852$	0.433307	+	1.79064i	0.0148449	+	0.0613464i
$853$	0.00501369	+	0.00207674i	0.000171665	+	7.11061e-5i	0.382769	−	0.923844i	$-0.374970\pi$
$853$	0.00501369	+	0.00207674i	0.000171665	+	7.11061e-5i	−0.382598	+	0.923915i	$0.624970\pi$
$854$	1.53112	+	1.78945i	0.0523939	+	0.0612336i
$855$	−6.29688	+	3.25757i	−0.215349	+	0.111407i
$856$	6.36995	−	26.8521i	0.217721	−	0.917786i
$857$		−	32.4343i		−	1.10794i	−0.832538	−	0.553968i	$-0.813113\pi$
$857$		−	32.4343i		−	1.10794i	0.832538	−	0.553968i	$-0.186887\pi$
$858$	−0.671468	−	0.784756i	−0.0229235	−	0.0267911i
$859$	−0.115888	−	0.279778i	−0.00395405	−	0.00954591i	0.921890	−	0.387451i	$-0.126644\pi$
$859$	−0.115888	−	0.279778i	−0.00395405	−	0.00954591i	−0.925844	+	0.377905i	$0.876644\pi$
$860$	10.5662	+	31.6578i	0.360304	+	1.07952i
$861$	9.06417	+	3.75450i	0.308906	+	0.127953i
$862$	0.113842	+	0.0578764i	0.00387748	+	0.00197128i
$863$	8.86758	−	8.86758i	0.301856	−	0.301856i	−0.539884	−	0.841740i	$-0.681532\pi$
$863$	8.86758	−	8.86758i	0.301856	−	0.301856i	0.841740	+	0.539884i	$0.181532\pi$
$864$	−3.33758	−	7.95612i	−0.113547	−	0.270673i
$865$	7.74611	+	14.9732i	0.263376	+	0.509105i
$866$	25.7777	−	8.40136i	0.875963	−	0.285490i
$867$	−2.72140	−	6.57004i	−0.0924235	−	0.223130i
$868$	8.17606	−	5.96278i	0.277513	−	0.202390i
$869$	−18.6196	+	7.71249i	−0.631626	+	0.261628i
$870$	2.76575	+	1.12274i	0.0937676	+	0.0380646i
$871$	−13.1711	−	13.1711i	−0.446285	−	0.446285i
$872$	−2.33932	+	9.86125i	−0.0792194	+	0.333944i
$873$			0.574755i			0.0194525i
$874$	−0.754844	+	0.645874i	−0.0255330	+	0.0218470i
$875$	11.5929	+	44.6281i	0.391912	+	1.50871i
$876$	−1.51676	+	2.48516i	−0.0512465	+	0.0839658i
$877$	12.7350	+	30.7451i	0.430031	+	1.03819i	0.979277	+	0.202527i	$0.0649152\pi$
$877$	12.7350	+	30.7451i	0.430031	+	1.03819i	−0.549245	+	0.835661i	$0.685085\pi$
$878$	−12.9054	−	39.5972i	−0.435535	−	1.33634i
$879$			0.201859i			0.00680852i
$880$	−2.51719	−	14.9455i	−0.0848543	−	0.503814i
$881$			13.0165i			0.438537i	0.975665	+	0.219268i	$0.0703671\pi$
$881$			13.0165i			0.438537i	−0.975665	+	0.219268i	$0.929633\pi$
$882$	39.4834	−	12.8683i	1.32948	−	0.433297i
$883$	3.11662	+	7.52417i	0.104882	+	0.253209i	0.967605	−	0.252469i	$-0.0812425\pi$
$883$	3.11662	+	7.52417i	0.104882	+	0.253209i	−0.862723	+	0.505678i	$0.831243\pi$
$884$	−5.27158	−	21.7848i	−0.177302	−	0.732702i
$885$	−4.99346	+	5.92025i	−0.167853	+	0.199007i
$886$	−0.512403	−	0.598855i	−0.0172145	−	0.0201189i
$887$			4.29355i			0.144163i	0.997399	+	0.0720817i	$0.0229642\pi$
$887$			4.29355i			0.144163i	−0.997399	+	0.0720817i	$0.977036\pi$
$888$	−0.649194	−	4.02839i	−0.0217855	−	0.135184i
$889$	−31.9705	−	31.9705i	−1.07226	−	1.07226i
$890$	25.4587	−	10.7571i	0.853379	−	0.360578i
$891$	13.1656	−	5.45337i	0.441064	−	0.182695i
$892$	41.3054	+	6.46591i	1.38301	+	0.216495i
$893$	3.57993	+	8.64272i	0.119798	+	0.289218i
$894$	0.220911	+	0.677818i	0.00738838	+	0.0226696i
$895$	−23.8427	−	7.58447i	−0.796974	−	0.253521i
$896$	−46.1299	−	7.00851i	−1.54109	−	0.234138i
$897$	0.198106	−	0.198106i	0.00661456	−	0.00661456i
$898$	13.1153	−	25.7977i	0.437665	−	0.860881i
$899$	4.16257	+	1.72419i	0.138829	+	0.0575050i
$900$	29.3364	−	0.415262i	0.977881	−	0.0138421i
$901$	24.8860	+	60.0802i	0.829073	+	2.00156i
$902$	16.8524	−	14.4196i	0.561125	−	0.480120i
$903$		−	7.91074i		−	0.263253i
$904$	13.2012	+	9.53689i	0.439067	+	0.317192i
$905$	11.8255	+	22.8586i	0.393092	+	0.759846i
$906$	−1.46680	+	1.25505i	−0.0487311	+	0.0416962i
$907$	−7.86039	−	3.25588i	−0.261000	−	0.108110i	0.248346	−	0.968671i	$-0.420113\pi$
$907$	−7.86039	−	3.25588i	−0.261000	−	0.108110i	−0.509347	+	0.860562i	$0.670113\pi$
$908$	17.0682	−	27.9656i	0.566427	−	0.928072i
$909$	24.2601	+	10.0489i	0.804656	+	0.333299i
$910$	−0.154764	−	21.8679i	−0.00513038	−	0.724914i
$911$	−35.9659			−1.19160			−0.595802	−	0.803131i	$-0.703166\pi$
$911$	−35.9659			−1.19160			−0.595802	+	0.803131i	$0.703166\pi$
$912$	−1.05789	−	0.339522i	−0.0350303	−	0.0112427i
$913$	−20.2793	+	20.2793i	−0.671148	+	0.671148i
$914$	−11.9327	−	6.06648i	−0.394698	−	0.200661i
$915$	−0.0196370	−	0.231242i	−0.000649180	−	0.00764463i
$916$	−1.01097	−	0.617022i	−0.0334034	−	0.0203870i
$917$	3.24691	−	7.83874i	0.107222	−	0.258858i
$918$	−14.3723	−	1.11810i	−0.474357	−	0.0369029i
$919$	−24.9532	−	24.9532i	−0.823129	−	0.823129i	0.163427	−	0.986555i	$-0.447745\pi$
$919$	−24.9532	−	24.9532i	−0.823129	−	0.823129i	−0.986555	+	0.163427i	$0.947745\pi$
$920$	3.98898	−	0.995206i	0.131513	−	0.0328110i
$921$	−1.94795	+	1.94795i	−0.0641870	+	0.0641870i
$922$	20.6771	−	17.6921i	0.680963	−	0.582659i
$923$	5.55204	+	2.29973i	0.182748	+	0.0756966i
$924$	−0.555587	+	3.54919i	−0.0182775	+	0.116760i
$925$	27.3669	+	6.21369i	0.899819	+	0.204305i
$926$	−7.22855	−	22.1792i	−0.237545	−	0.728854i
$927$	−15.3618	−	15.3618i	−0.504547	−	0.504547i
$928$	−8.03635	−	19.1571i	−0.263806	−	0.628861i
$929$		−	42.1006i		−	1.38128i	−0.723200	−	0.690639i	$-0.757330\pi$
$929$		−	42.1006i		−	1.38128i	0.723200	−	0.690639i	$-0.242670\pi$
$930$	−0.997159	+	0.00705712i	−0.0326981	+	0.000231412i
$931$	4.13901	−	9.99245i	0.135651	−	0.327489i
$932$	3.98973	−	2.90970i	0.130688	−	0.0953105i
$933$	−2.51199	+	6.06447i	−0.0822387	+	0.198542i
$934$	−43.1115	−	3.35390i	−1.41065	−	0.109743i
$935$	−24.1318	−	7.67643i	−0.789194	−	0.251046i
$936$	−13.5392	−	3.21181i	−0.442542	−	0.104981i
$937$	7.33789			0.239718			0.119859	−	0.992791i	$-0.461756\pi$
$937$	7.33789			0.239718			0.119859	+	0.992791i	$0.461756\pi$
$938$	−5.02511	+	64.5936i	−0.164076	+	2.10906i
$939$	0.281844	−	0.116744i	0.00919763	−	0.00380978i
$940$	2.72945	−	38.6173i	0.0890250	−	1.25956i
$941$	−7.31958	+	17.6710i	−0.238611	+	0.576059i	−0.997140	−	0.0755813i	$-0.975919\pi$
$941$	−7.31958	+	17.6710i	−0.238611	+	0.576059i	0.758528	+	0.651640i	$0.225919\pi$
$942$	2.63693	−	0.859417i	0.0859159	−	0.0280013i
$943$	4.25428	+	4.25428i	0.138538	+	0.138538i
$944$	53.7209	−	4.42266i	1.74847	−	0.143945i
$945$	−13.4033	−	4.26366i	−0.436011	−	0.138697i
$946$	−15.9417	−	8.10465i	−0.518311	−	0.263505i
$947$	−45.3769	+	18.7957i	−1.47455	+	0.610779i	−0.967892	−	0.251366i	$-0.919120\pi$
$947$	−45.3769	+	18.7957i	−1.47455	+	0.610779i	−0.506660	+	0.862146i	$0.669120\pi$
$948$	3.18518	−	5.21881i	0.103450	−	0.169499i
$949$	3.63431	+	8.77399i	0.117975	+	0.284816i
$950$	4.88523	−	5.87581i	0.158498	−	0.190636i
$951$	−4.99768	+	4.99768i	−0.162061	+	0.162061i
$952$	−45.6534	+	63.1948i	−1.47964	+	2.04816i
$953$	33.2555			1.07725			0.538626	−	0.842545i	$-0.318944\pi$
$953$	33.2555			1.07725			0.538626	+	0.842545i	$0.318944\pi$
$954$	40.2509	+	3.13135i	1.30317	+	0.101381i
$955$	−52.5296	+	4.46080i	−1.69982	+	0.144348i
$956$	33.8536	−	24.6894i	1.09491	−	0.798512i
$957$	−1.47772	+	0.612092i	−0.0477679	+	0.0197861i
$958$	−7.50797	−	3.81699i	−0.242571	−	0.123321i
$959$	80.1356			2.58771
$960$	3.28862	+	3.21333i	0.106140	+	0.103710i
$961$	29.4948			0.951446
$962$	−11.8645	−	6.03184i	−0.382528	−	0.194474i
$963$	−26.4477	+	10.9550i	−0.852265	+	0.353020i
$964$	29.2626	−	21.3412i	0.942486	−	0.687353i
$965$	6.75161	−	8.00471i	0.217342	−	0.257681i
$966$	−0.971551	−	0.0755826i	−0.0312591	−	0.00243183i
$967$	24.2489			0.779792			0.389896	−	0.920859i	$-0.372511\pi$
$967$	24.2489			0.779792			0.389896	+	0.920859i	$0.372511\pi$
$968$	−18.6369	−	13.4637i	−0.599012	−	0.432740i
$969$	−1.31265	+	1.31265i	−0.0421685	+	0.0421685i
$970$	−0.241112	−	0.570640i	−0.00774164	−	0.0183221i
$971$	4.29335	+	10.3651i	0.137780	+	0.332631i	0.977676	−	0.210116i	$-0.0673842\pi$
$971$	4.29335	+	10.3651i	0.137780	+	0.332631i	−0.839896	+	0.542747i	$0.817384\pi$
$972$	−7.01961	+	11.5014i	−0.225154	+	0.368907i
$973$	−56.5873	+	23.4392i	−1.81411	+	0.751427i
$974$	34.0634	+	17.3175i	1.09146	+	0.554890i
$975$	−1.24502	+	1.75891i	−0.0398725	+	0.0563301i
$976$	−1.04454	+	1.23196i	−0.0334349	+	0.0394340i
$977$	23.5053	+	23.5053i	0.752001	+	0.752001i	0.974852	−	0.222852i	$-0.0715366\pi$
$977$	23.5053	+	23.5053i	0.752001	+	0.752001i	−0.222852	+	0.974852i	$0.571537\pi$
$978$	−3.82417	+	1.24636i	−0.122284	+	0.0398541i
$979$	−5.66745	+	13.6824i	−0.181132	+	0.437292i
$980$	−33.8024	+	29.3396i	−1.07978	+	0.937218i
$981$	9.71273	−	4.02314i	0.310104	−	0.128449i
$982$	3.63006	−	46.6614i	0.115840	−	1.48902i
$983$	−4.02651			−0.128426			−0.0642128	−	0.997936i	$-0.520454\pi$
$983$	−4.02651			−0.128426			−0.0642128	+	0.997936i	$0.520454\pi$
$984$	−1.55308	+	6.54690i	−0.0495104	+	0.208708i
$985$	−7.43154	+	23.3620i	−0.236789	+	0.744374i
$986$	−34.6062	−	2.69222i	−1.10209	−	0.0857376i
$987$	−3.51160	+	8.47775i	−0.111775	+	0.269850i
$988$	−2.92813	+	2.13547i	−0.0931561	+	0.0679385i
$989$	1.85646	−	4.48188i	0.0590318	−	0.142515i
$990$	−11.0377	+	11.1951i	−0.350803	+	0.355804i
$991$			2.24400i			0.0712830i	0.999365	+	0.0356415i	$0.0113474\pi$
$991$			2.24400i			0.0712830i	−0.999365	+	0.0356415i	$0.988653\pi$
$992$	4.92945	+	4.88526i	0.156510	+	0.155107i
$993$	3.47397	+	3.47397i	0.110243	+	0.110243i
$994$	−6.47716	−	19.8738i	−0.205443	−	0.630357i
$995$	−30.8865	−	26.0514i	−0.979168	−	0.825884i
$996$	1.34557	−	8.59577i	0.0426361	−	0.272367i
$997$	5.92328	+	2.45350i	0.187592	+	0.0777032i	0.474502	−	0.880254i	$-0.342628\pi$
$997$	5.92328	+	2.45350i	0.187592	+	0.0777032i	−0.286910	+	0.957958i	$0.592628\pi$
$998$	11.7205	−	10.0285i	0.371004	−	0.317446i
$999$	−6.05316	+	6.05316i	−0.191514	+	0.191514i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.ba.a.3.4	yes	88
4.3	odd	2		640.2.ba.a.303.12		88
5.2	odd	4		160.2.u.a.67.15	yes	88
5.3	odd	4		800.2.v.b.707.8		88
5.4	even	2		800.2.bb.b.643.19		88
20.7	even	4		640.2.u.a.47.11		88
32.11	odd	8		160.2.u.a.43.15	✓	88
32.21	even	8		640.2.u.a.463.11		88
160.43	even	8		800.2.bb.b.107.19		88
160.107	even	8	inner	160.2.ba.a.107.4	yes	88
160.117	odd	8		640.2.ba.a.207.12		88
160.139	odd	8		800.2.v.b.43.8		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.15	✓	88	32.11	odd	8
160.2.u.a.67.15	yes	88	5.2	odd	4
160.2.ba.a.3.4	yes	88	1.1	even	1	trivial
160.2.ba.a.107.4	yes	88	160.107	even	8	inner
640.2.u.a.47.11		88	20.7	even	4
640.2.u.a.463.11		88	32.21	even	8
640.2.ba.a.207.12		88	160.117	odd	8
640.2.ba.a.303.12		88	4.3	odd	2
800.2.v.b.43.8		88	160.139	odd	8
800.2.v.b.707.8		88	5.3	odd	4
800.2.bb.b.107.19		88	160.43	even	8
800.2.bb.b.643.19		88	5.4	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 160 = 2^{5} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	160.ba (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26065 - 0.640905i) q^{2} +(-0.237464 + 0.0983610i) q^{3} +(1.17848 + 1.61591i) q^{4} +(0.189205 + 2.22805i) q^{5} +(0.362400 + 0.0281932i) q^{6} -4.12414 q^{7} +(-0.450008 - 2.79240i) q^{8} +(-2.07461 + 2.07461i) q^{9} +O(q^{10})\)	\(q+(-1.26065 - 0.640905i) q^{2} +(-0.237464 + 0.0983610i) q^{3} +(1.17848 + 1.61591i) q^{4} +(0.189205 + 2.22805i) q^{5} +(0.362400 + 0.0281932i) q^{6} -4.12414 q^{7} +(-0.450008 - 2.79240i) q^{8} +(-2.07461 + 2.07461i) q^{9} +(1.18944 - 2.93005i) q^{10} +(0.648455 + 1.56551i) q^{11} +(-0.438790 - 0.267805i) q^{12} +(-1.54917 + 0.641689i) q^{13} +(5.19910 + 2.64318i) q^{14} +(-0.264083 - 0.510472i) q^{15} +(-1.22236 + 3.80865i) q^{16} +(4.72586 + 4.72586i) q^{17} +(3.94498 - 1.28573i) q^{18} +(0.413548 - 0.998394i) q^{19} +(-3.37736 + 2.93146i) q^{20} +(0.979336 - 0.405654i) q^{21} +(0.185866 - 2.38916i) q^{22} +0.650047 q^{23} +(0.381524 + 0.618832i) q^{24} +(-4.92840 + 0.843118i) q^{25} +(2.36423 + 0.183927i) q^{26} +(0.583668 - 1.40910i) q^{27} +(-4.86023 - 6.66426i) q^{28} +(1.40538 - 3.39288i) q^{29} +(0.00575222 + 0.812779i) q^{30} +1.22685i q^{31} +(3.98195 - 4.01797i) q^{32} +(-0.307970 - 0.307970i) q^{33} +(-2.92883 - 8.98648i) q^{34} +(-0.780309 - 9.18878i) q^{35} +(-5.79727 - 0.907499i) q^{36} +(-5.18545 - 2.14788i) q^{37} +(-1.16122 + 0.993581i) q^{38} +(0.304756 - 0.304756i) q^{39} +(6.13646 - 1.53098i) q^{40} +(6.54457 + 6.54457i) q^{41} +(-1.49459 - 0.116273i) q^{42} +(2.85588 - 6.89471i) q^{43} +(-1.76554 + 2.89277i) q^{44} +(-5.01485 - 4.22980i) q^{45} +(-0.819482 - 0.416618i) q^{46} +(-6.12116 + 6.12116i) q^{47} +(-0.0843562 - 1.02465i) q^{48} +10.0085 q^{49} +(6.75335 + 2.09576i) q^{50} +(-1.58706 - 0.657383i) q^{51} +(-2.86259 - 1.74711i) q^{52} +(8.98950 + 3.72357i) q^{53} +(-1.63890 + 1.40231i) q^{54} +(-3.36534 + 1.74099i) q^{55} +(1.85590 + 11.5162i) q^{56} +0.277760i q^{57} +(-3.94621 + 3.37653i) q^{58} +(-5.15691 - 12.4499i) q^{59} +(0.513662 - 1.02832i) q^{60} +(0.373056 + 0.154525i) q^{61} +(0.786295 - 1.54663i) q^{62} +(8.55596 - 8.55596i) q^{63} +(-7.59499 + 2.51320i) q^{64} +(-1.72283 - 3.33022i) q^{65} +(0.190863 + 0.585622i) q^{66} +(4.25100 + 10.2628i) q^{67} +(-2.06724 + 13.2059i) q^{68} +(-0.154363 + 0.0639392i) q^{69} +(-4.90544 + 12.0840i) q^{70} +(-2.53418 - 2.53418i) q^{71} +(6.72672 + 4.85954i) q^{72} -5.66366i q^{73} +(5.16046 + 6.03111i) q^{74} +(1.08739 - 0.684973i) q^{75} +(2.10068 - 0.508331i) q^{76} +(-2.67432 - 6.45638i) q^{77} +(-0.579511 + 0.188872i) q^{78} +11.8936i q^{79} +(-8.71714 - 2.00286i) q^{80} -8.40979i q^{81} +(-4.05598 - 12.4449i) q^{82} +(6.47691 + 15.6367i) q^{83} +(1.80963 + 1.10447i) q^{84} +(-9.63528 + 11.4236i) q^{85} +(-8.01912 + 6.86147i) q^{86} +0.943923i q^{87} +(4.07972 - 2.51524i) q^{88} +(6.18006 + 6.18006i) q^{89} +(3.61108 + 8.54634i) q^{90} +(6.38901 - 2.64641i) q^{91} +(0.766068 + 1.05042i) q^{92} +(-0.120674 - 0.291334i) q^{93} +(11.6397 - 3.79357i) q^{94} +(2.30272 + 0.732504i) q^{95} +(-0.550360 + 1.34579i) q^{96} +(0.138522 - 0.138522i) q^{97} +(-12.6173 - 6.41451i) q^{98} +(-4.59310 - 1.90253i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 8 q^{7} + 8 q^{8}+O(q^{10}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 8 * q^7 + 8 * q^8	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 8 q^{7} + 8 q^{8} + 8 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} - 16 q^{14} - 8 q^{15} - 8 q^{16} - 12 q^{18} - 16 q^{19} - 32 q^{20} - 8 q^{21} - 20 q^{22} - 8 q^{23} + 32 q^{24} - 4 q^{25} - 8 q^{26} + 8 q^{27} - 20 q^{28} + 64 q^{30} + 16 q^{32} - 8 q^{33} - 8 q^{34} - 48 q^{35} - 8 q^{36} - 4 q^{37} - 4 q^{38} + 16 q^{40} - 8 q^{41} - 68 q^{42} + 28 q^{43} - 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 88 q^{48} + 40 q^{49} + 4 q^{50} + 8 q^{51} + 48 q^{52} - 4 q^{53} + 56 q^{54} + 28 q^{55} + 40 q^{56} - 36 q^{58} + 12 q^{60} - 40 q^{61} - 32 q^{62} - 56 q^{63} - 48 q^{64} - 8 q^{65} + 72 q^{66} - 28 q^{67} + 8 q^{68} - 24 q^{69} + 4 q^{70} + 24 q^{71} + 88 q^{72} - 16 q^{75} + 56 q^{76} - 32 q^{77} + 112 q^{78} + 80 q^{80} + 68 q^{82} + 36 q^{83} - 56 q^{84} - 4 q^{85} + 24 q^{86} - 24 q^{88} - 84 q^{90} - 8 q^{91} + 92 q^{92} + 8 q^{93} + 32 q^{94} + 24 q^{96} - 8 q^{97} + 16 q^{98}+O(q^{100}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 8 * q^7 + 8 * q^8 + 8 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 - 16 * q^14 - 8 * q^15 - 8 * q^16 - 12 * q^18 - 16 * q^19 - 32 * q^20 - 8 * q^21 - 20 * q^22 - 8 * q^23 + 32 * q^24 - 4 * q^25 - 8 * q^26 + 8 * q^27 - 20 * q^28 + 64 * q^30 + 16 * q^32 - 8 * q^33 - 8 * q^34 - 48 * q^35 - 8 * q^36 - 4 * q^37 - 4 * q^38 + 16 * q^40 - 8 * q^41 - 68 * q^42 + 28 * q^43 - 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 88 * q^48 + 40 * q^49 + 4 * q^50 + 8 * q^51 + 48 * q^52 - 4 * q^53 + 56 * q^54 + 28 * q^55 + 40 * q^56 - 36 * q^58 + 12 * q^60 - 40 * q^61 - 32 * q^62 - 56 * q^63 - 48 * q^64 - 8 * q^65 + 72 * q^66 - 28 * q^67 + 8 * q^68 - 24 * q^69 + 4 * q^70 + 24 * q^71 + 88 * q^72 - 16 * q^75 + 56 * q^76 - 32 * q^77 + 112 * q^78 + 80 * q^80 + 68 * q^82 + 36 * q^83 - 56 * q^84 - 4 * q^85 + 24 * q^86 - 24 * q^88 - 84 * q^90 - 8 * q^91 + 92 * q^92 + 8 * q^93 + 32 * q^94 + 24 * q^96 - 8 * q^97 + 16 * q^98

Introduction

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