LMFDB - Embedded newform 160.2.u.a.43.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,2,Mod(43,160)]

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, 5, 6]))

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

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

chi := DirichletCharacter("160.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	160.u (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			43.9
Character	$\chi$	$=$	160.43
Dual form			160.2.u.a.67.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.491080 + 1.32621i) q^{2} +(0.896482 - 2.16430i) q^{3} +(-1.51768 - 1.30255i) q^{4} +(-2.04305 - 0.908815i) q^{5} +(2.43008 + 2.25177i) q^{6} -0.225996i q^{7} +(2.47277 - 1.37311i) q^{8} +(-1.75919 - 1.75919i) q^{9} +O(q^{10})$	\(q+(-0.491080 + 1.32621i) q^{2} +(0.896482 - 2.16430i) q^{3} +(-1.51768 - 1.30255i) q^{4} +(-2.04305 - 0.908815i) q^{5} +(2.43008 + 2.25177i) q^{6} -0.225996i q^{7} +(2.47277 - 1.37311i) q^{8} +(-1.75919 - 1.75919i) q^{9} +(2.20858 - 2.26322i) q^{10} +(1.96462 - 4.74300i) q^{11} +(-4.17969 + 2.11700i) q^{12} +(0.685529 - 1.65501i) q^{13} +(0.299719 + 0.110982i) q^{14} +(-3.79851 + 3.60704i) q^{15} +(0.606705 + 3.95372i) q^{16} +(-3.79529 - 3.79529i) q^{17} +(3.19697 - 1.46916i) q^{18} +(2.12025 + 5.11874i) q^{19} +(1.91692 + 4.04047i) q^{20} +(-0.489123 - 0.202602i) q^{21} +(5.32544 + 4.93469i) q^{22} +3.18989i q^{23} +(-0.755024 - 6.58278i) q^{24} +(3.34811 + 3.71351i) q^{25} +(1.85825 + 1.72190i) q^{26} +(1.10839 - 0.459110i) q^{27} +(-0.294372 + 0.342990i) q^{28} +(1.83556 + 4.43144i) q^{29} +(-2.91833 - 6.80897i) q^{30} +9.28175i q^{31} +(-5.54142 - 1.13698i) q^{32} +(-8.50404 - 8.50404i) q^{33} +(6.89715 - 3.16956i) q^{34} +(-0.205389 + 0.461722i) q^{35} +(0.378448 + 4.96134i) q^{36} +(-2.40921 - 5.81634i) q^{37} +(-7.82974 + 0.298191i) q^{38} +(-2.96738 - 2.96738i) q^{39} +(-6.29989 + 0.558039i) q^{40} +(0.978909 - 0.978909i) q^{41} +(0.508892 - 0.549188i) q^{42} +(3.67918 - 1.52396i) q^{43} +(-9.15967 + 4.63934i) q^{44} +(1.99534 + 5.19290i) q^{45} +(-4.23047 - 1.56649i) q^{46} +(1.51531 - 1.51531i) q^{47} +(9.10094 + 2.23135i) q^{48} +6.94893 q^{49} +(-6.56910 + 2.61667i) q^{50} +(-11.6165 + 4.81173i) q^{51} +(-3.19616 + 1.61884i) q^{52} +(-1.66617 - 4.02250i) q^{53} +(0.0645691 + 1.69542i) q^{54} +(-8.32432 + 7.90472i) q^{55} +(-0.310317 - 0.558836i) q^{56} +12.9792 q^{57} +(-6.77844 + 0.258153i) q^{58} +(0.961345 - 2.32089i) q^{59} +(10.4633 - 0.526566i) q^{60} +(4.41229 - 1.82763i) q^{61} +(-12.3096 - 4.55808i) q^{62} +(-0.397571 + 0.397571i) q^{63} +(4.22915 - 6.79075i) q^{64} +(-2.90467 + 2.75826i) q^{65} +(15.4543 - 7.10199i) q^{66} +(11.6299 + 4.81725i) q^{67} +(0.816463 + 10.7036i) q^{68} +(6.90387 + 2.85968i) q^{69} +(-0.511479 - 0.499132i) q^{70} +(4.39574 - 4.39574i) q^{71} +(-6.76564 - 1.93451i) q^{72} -12.4893 q^{73} +(8.89682 - 0.338830i) q^{74} +(11.0387 - 3.91722i) q^{75} +(3.44957 - 10.5303i) q^{76} +(-1.07190 - 0.443996i) q^{77} +(5.39260 - 2.47816i) q^{78} -6.43026i q^{79} +(2.35367 - 8.62903i) q^{80} -10.2741i q^{81} +(0.817519 + 1.77896i) q^{82} +(-2.87705 - 1.19172i) q^{83} +(0.478433 + 0.944594i) q^{84} +(4.30475 + 11.2032i) q^{85} +(0.214330 + 5.62776i) q^{86} +11.2365 q^{87} +(-1.65461 - 14.4260i) q^{88} +(-1.95412 + 1.95412i) q^{89} +(-7.86677 + 0.0961109i) q^{90} +(-0.374027 - 0.154927i) q^{91} +(4.15500 - 4.84123i) q^{92} +(20.0885 + 8.32092i) q^{93} +(1.26548 + 2.75376i) q^{94} +(0.320208 - 12.3847i) q^{95} +(-7.42854 + 10.9740i) q^{96} +(-7.92205 + 7.92205i) q^{97} +(-3.41248 + 9.21575i) q^{98} +(-11.8000 + 4.88772i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8}+O(q^{10}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8} - 16 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} + 16 q^{14} - 8 q^{15} - 8 q^{16} + 4 q^{18} + 16 q^{19} + 24 q^{20} - 8 q^{21} - 20 q^{22} - 32 q^{24} - 4 q^{25} - 8 q^{26} - 16 q^{27} + 12 q^{28} + 8 q^{30} - 24 q^{32} - 8 q^{33} + 8 q^{34} - 8 q^{35} - 8 q^{36} - 4 q^{37} - 60 q^{38} + 16 q^{40} - 8 q^{41} + 60 q^{42} - 36 q^{43} + 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 24 q^{48} - 40 q^{49} - 12 q^{50} + 8 q^{51} - 56 q^{52} - 4 q^{53} - 56 q^{54} - 36 q^{55} + 40 q^{56} - 8 q^{57} - 36 q^{58} + 12 q^{60} - 40 q^{61} + 40 q^{62} + 56 q^{63} + 48 q^{64} - 8 q^{65} + 72 q^{66} + 20 q^{67} + 8 q^{68} + 24 q^{69} + 60 q^{70} + 24 q^{71} + 24 q^{72} - 8 q^{73} + 8 q^{75} + 56 q^{76} + 24 q^{77} + 32 q^{78} - 8 q^{80} + 84 q^{82} - 44 q^{83} + 56 q^{84} - 4 q^{85} + 24 q^{86} - 120 q^{87} + 104 q^{88} + 148 q^{90} - 8 q^{91} + 124 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 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 + 16 * q^14 - 8 * q^15 - 8 * q^16 + 4 * q^18 + 16 * q^19 + 24 * q^20 - 8 * q^21 - 20 * q^22 - 32 * q^24 - 4 * q^25 - 8 * q^26 - 16 * q^27 + 12 * q^28 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 8 * q^34 - 8 * q^35 - 8 * q^36 - 4 * q^37 - 60 * q^38 + 16 * q^40 - 8 * q^41 + 60 * q^42 - 36 * q^43 + 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 24 * q^48 - 40 * q^49 - 12 * q^50 + 8 * q^51 - 56 * q^52 - 4 * q^53 - 56 * q^54 - 36 * q^55 + 40 * q^56 - 8 * q^57 - 36 * q^58 + 12 * q^60 - 40 * q^61 + 40 * q^62 + 56 * q^63 + 48 * q^64 - 8 * q^65 + 72 * q^66 + 20 * q^67 + 8 * q^68 + 24 * q^69 + 60 * q^70 + 24 * q^71 + 24 * q^72 - 8 * q^73 + 8 * q^75 + 56 * q^76 + 24 * q^77 + 32 * q^78 - 8 * q^80 + 84 * q^82 - 44 * q^83 + 56 * q^84 - 4 * q^85 + 24 * q^86 - 120 * q^87 + 104 * q^88 + 148 * q^90 - 8 * q^91 + 124 * 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 $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{8}\right)$

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 $

$2$	−0.491080	+	1.32621i	−0.347246	+	0.937774i
$2$	−0.491080	+	1.32621i	−0.347246	+	0.937774i
$3$	0.896482	−	2.16430i	0.517584	−	1.24956i	−0.421799	−	0.906690i	$-0.638601\pi$
$3$	0.896482	−	2.16430i	0.517584	−	1.24956i	0.939383	−	0.342870i	$-0.111399\pi$
$4$	−1.51768	−	1.30255i	−0.758840	−	0.651277i
$5$	−2.04305	−	0.908815i	−0.913680	−	0.406435i
$5$	−2.04305	−	0.908815i	−0.913680	−	0.406435i
$6$	2.43008	+	2.25177i	0.992075	+	0.919282i
$7$		−	0.225996i		−	0.0854185i	−0.999088	−	0.0427093i	$-0.986401\pi$
$7$		−	0.225996i		−	0.0854185i	0.999088	−	0.0427093i	$-0.0135989\pi$
$8$	2.47277	−	1.37311i	0.874255	−	0.485467i
$9$	−1.75919	−	1.75919i	−0.586398	−	0.586398i
$10$	2.20858	−	2.26322i	0.698416	−	0.715692i
$11$	1.96462	−	4.74300i	0.592354	−	1.43007i	−0.288869	−	0.957369i	$-0.593279\pi$
$11$	1.96462	−	4.74300i	0.592354	−	1.43007i	0.881223	−	0.472700i	$-0.156721\pi$
$12$	−4.17969	+	2.11700i	−1.20657	+	0.611125i
$13$	0.685529	−	1.65501i	0.190132	−	0.459018i	−0.799853	−	0.600196i	$-0.795089\pi$
$13$	0.685529	−	1.65501i	0.190132	−	0.459018i	0.989984	+	0.141178i	$0.0450891\pi$
$14$	0.299719	+	0.110982i	0.0801033	+	0.0296613i
$15$	−3.79851	+	3.60704i	−0.980770	+	0.931333i
$16$	0.606705	+	3.95372i	0.151676	+	0.988430i
$17$	−3.79529	−	3.79529i	−0.920492	−	0.920492i	0.0765721	−	0.997064i	$-0.475602\pi$
$17$	−3.79529	−	3.79529i	−0.920492	−	0.920492i	−0.997064	+	0.0765721i	$0.975602\pi$
$18$	3.19697	−	1.46916i	0.753533	−	0.346284i
$19$	2.12025	+	5.11874i	0.486419	+	1.17432i	0.956510	+	0.291701i	$0.0942211\pi$
$19$	2.12025	+	5.11874i	0.486419	+	1.17432i	−0.470091	+	0.882618i	$0.655779\pi$
$20$	1.91692	+	4.04047i	0.428635	+	0.903478i
$21$	−0.489123	−	0.202602i	−0.106735	−	0.0442113i
$22$	5.32544	+	4.93469i	1.13539	+	1.05208i
$23$			3.18989i			0.665138i	0.943079	+	0.332569i	$0.107915\pi$
$23$			3.18989i			0.665138i	−0.943079	+	0.332569i	$0.892085\pi$
$24$	−0.755024	−	6.58278i	−0.154119	−	1.34370i
$25$	3.34811	+	3.71351i	0.669622	+	0.742702i
$26$	1.85825	+	1.72190i	0.364433	+	0.337693i
$27$	1.10839	−	0.459110i	0.213310	−	0.0883559i
$28$	−0.294372	+	0.342990i	−0.0556311	+	0.0648190i
$29$	1.83556	+	4.43144i	0.340856	+	0.822898i	0.997630	+	0.0688107i	$0.0219205\pi$
$29$	1.83556	+	4.43144i	0.340856	+	0.822898i	−0.656774	+	0.754087i	$0.728080\pi$
$30$	−2.91833	−	6.80897i	−0.532811	−	1.24314i
$31$			9.28175i			1.66705i	0.552481	+	0.833525i	$0.313681\pi$
$31$			9.28175i			1.66705i	−0.552481	+	0.833525i	$0.686319\pi$
$32$	−5.54142	−	1.13698i	−0.979593	−	0.200991i
$33$	−8.50404	−	8.50404i	−1.48036	−	1.48036i
$34$	6.89715	−	3.16956i	1.18285	−	0.543576i
$35$	−0.205389	+	0.461722i	−0.0347170	+	0.0780452i
$36$	0.378448	+	4.96134i	0.0630746	+	0.826890i
$37$	−2.40921	−	5.81634i	−0.396071	−	0.956201i	−0.988588	−	0.150643i	$-0.951866\pi$
$37$	−2.40921	−	5.81634i	−0.396071	−	0.956201i	0.592517	−	0.805558i	$-0.298134\pi$
$38$	−7.82974	+	0.298191i	−1.27015	+	0.0483729i
$39$	−2.96738	−	2.96738i	−0.475161	−	0.475161i
$40$	−6.29989	+	0.558039i	−0.996100	+	0.0882338i
$41$	0.978909	−	0.978909i	0.152880	−	0.152880i	−0.626523	−	0.779403i	$-0.715523\pi$
$41$	0.978909	−	0.978909i	0.152880	−	0.152880i	0.779403	+	0.626523i	$0.215523\pi$
$42$	0.508892	−	0.549188i	0.0785237	−	0.0847416i
$43$	3.67918	−	1.52396i	0.561069	−	0.232402i	−0.0840802	−	0.996459i	$-0.526795\pi$
$43$	3.67918	−	1.52396i	0.561069	−	0.232402i	0.645149	+	0.764057i	$0.276795\pi$
$44$	−9.15967	+	4.63934i	−1.38087	+	0.699407i
$45$	1.99534	+	5.19290i	0.297448	+	0.774112i
$46$	−4.23047	−	1.56649i	−0.623749	−	0.230967i
$47$	1.51531	−	1.51531i	0.221031	−	0.221031i	−0.587902	−	0.808932i	$-0.700046\pi$
$47$	1.51531	−	1.51531i	0.221031	−	0.221031i	0.808932	+	0.587902i	$0.200046\pi$
$48$	9.10094	+	2.23135i	1.31361	+	0.322068i
$49$	6.94893			0.992704
$50$	−6.56910	+	2.61667i	−0.929010	+	0.370053i
$51$	−11.6165	+	4.81173i	−1.62664	+	0.673777i
$52$	−3.19616	+	1.61884i	−0.443228	+	0.224493i
$53$	−1.66617	−	4.02250i	−0.228867	−	0.552533i	0.767173	−	0.641440i	$-0.221663\pi$
$53$	−1.66617	−	4.02250i	−0.228867	−	0.552533i	−0.996040	+	0.0889071i	$0.971663\pi$
$54$	0.0645691	+	1.69542i	0.00878674	+	0.230718i
$55$	−8.32432	+	7.90472i	−1.12245	+	1.06587i
$56$	−0.310317	−	0.558836i	−0.0414678	−	0.0746776i
$57$	12.9792			1.71914
$58$	−6.77844	+	0.258153i	−0.890053	+	0.0338971i
$59$	0.961345	−	2.32089i	0.125156	−	0.302155i	−0.848865	−	0.528609i	$-0.822714\pi$
$59$	0.961345	−	2.32089i	0.125156	−	0.302155i	0.974022	+	0.226455i	$0.0727136\pi$
$60$	10.4633	−	0.526566i	1.35080	−	0.0679793i
$61$	4.41229	−	1.82763i	0.564936	−	0.234004i	−0.0818906	−	0.996641i	$-0.526096\pi$
$61$	4.41229	−	1.82763i	0.564936	−	0.234004i	0.646826	+	0.762637i	$0.276096\pi$
$62$	−12.3096	−	4.55808i	−1.56332	−	0.578877i
$63$	−0.397571	+	0.397571i	−0.0500892	+	0.0500892i
$64$	4.22915	−	6.79075i	0.528644	−	0.848844i
$65$	−2.90467	+	2.75826i	−0.360280	+	0.342120i
$66$	15.4543	−	7.10199i	1.90230	−	0.874195i
$67$	11.6299	+	4.81725i	1.42081	+	0.588521i	0.955065	−	0.296396i	$-0.0957847\pi$
$67$	11.6299	+	4.81725i	1.42081	+	0.588521i	0.465750	+	0.884916i	$0.345785\pi$
$68$	0.816463	+	10.7036i	0.0990107	+	1.29800i
$69$	6.90387	+	2.85968i	0.831129	+	0.344265i
$70$	−0.511479	−	0.499132i	−0.0611334	−	0.0596576i
$71$	4.39574	−	4.39574i	0.521678	−	0.521678i	−0.396400	−	0.918078i	$-0.629741\pi$
$71$	4.39574	−	4.39574i	0.521678	−	0.521678i	0.918078	+	0.396400i	$0.129741\pi$
$72$	−6.76564	−	1.93451i	−0.797338	−	0.227985i
$73$	−12.4893			−1.46176			−0.730881	−	0.682505i	$-0.760891\pi$
$73$	−12.4893			−1.46176			−0.730881	+	0.682505i	$0.760891\pi$
$74$	8.89682	−	0.338830i	1.03423	−	0.0393882i
$75$	11.0387	−	3.91722i	1.27464	−	0.452321i
$76$	3.44957	−	10.5303i	0.395693	−	1.20791i
$77$	−1.07190	−	0.443996i	−0.122154	−	0.0505980i
$78$	5.39260	−	2.47816i	0.610592	−	0.280596i
$79$		−	6.43026i		−	0.723460i	−0.932283	−	0.361730i	$-0.882186\pi$
$79$		−	6.43026i		−	0.723460i	0.932283	−	0.361730i	$-0.117814\pi$
$80$	2.35367	−	8.62903i	0.263149	−	0.964755i
$81$		−	10.2741i		−	1.14157i
$82$	0.817519	+	1.77896i	0.0902798	+	0.196454i
$83$	−2.87705	−	1.19172i	−0.315798	−	0.130808i	0.219154	−	0.975690i	$-0.429670\pi$
$83$	−2.87705	−	1.19172i	−0.315798	−	0.130808i	−0.534952	+	0.844883i	$0.679670\pi$
$84$	0.478433	+	0.944594i	0.0522014	+	0.103064i
$85$	4.30475	+	11.2032i	0.466915	+	1.21515i
$86$	0.214330	+	5.62776i	0.0231118	+	0.606857i
$87$	11.2365			1.20468
$88$	−1.65461	−	14.4260i	−0.176382	−	1.53781i
$89$	−1.95412	+	1.95412i	−0.207136	+	0.207136i	−0.803049	−	0.595913i	$-0.796790\pi$
$89$	−1.95412	+	1.95412i	−0.207136	+	0.207136i	0.595913	+	0.803049i	$0.296790\pi$
$90$	−7.86677	+	0.0961109i	−0.829230	+	0.0101310i
$91$	−0.374027	−	0.154927i	−0.0392087	−	0.0162408i
$92$	4.15500	−	4.84123i	0.433189	−	0.504733i
$93$	20.0885	+	8.32092i	2.08308	+	0.862839i
$94$	1.26548	+	2.75376i	0.130525	+	0.284029i
$95$	0.320208	−	12.3847i	0.0328526	−	1.27065i
$96$	−7.42854	+	10.9740i	−0.758172	+	1.12003i
$97$	−7.92205	+	7.92205i	−0.804362	+	0.804362i	−0.983774	−	0.179412i	$-0.942581\pi$
$97$	−7.92205	+	7.92205i	−0.804362	+	0.804362i	0.179412	+	0.983774i	$0.442581\pi$
$98$	−3.41248	+	9.21575i	−0.344713	+	0.930932i
$99$	−11.8000	+	4.88772i	−1.18594	+	0.491234i
$100$	−0.244310	−	9.99702i	−0.0244310	−	0.999702i
$101$	−6.99275	+	16.8820i	−0.695805	+	1.67982i	0.0369392	+	0.999318i	$0.488239\pi$
$101$	−6.99275	+	16.8820i	−0.695805	+	1.67982i	−0.732744	+	0.680504i	$0.761761\pi$
$102$	−0.676719	−	17.7690i	−0.0670052	−	1.75939i
$103$	8.45308			0.832907			0.416453	−	0.909157i	$-0.363273\pi$
$103$	8.45308			0.832907			0.416453	+	0.909157i	$0.363273\pi$
$104$	−0.577358	−	5.03377i	−0.0566146	−	0.493602i
$105$	0.815177	+	0.858448i	0.0795531	+	0.0837760i
$106$	6.15291	−	0.234330i	0.597624	−	0.0227601i
$107$	2.18072	+	5.26473i	0.210818	+	0.508960i	0.993549	−	0.113400i	$-0.0361740\pi$
$107$	2.18072	+	5.26473i	0.210818	+	0.508960i	−0.782731	+	0.622360i	$0.786174\pi$
$108$	−2.28020	−	0.746956i	−0.219412	−	0.0718759i
$109$	−4.74770	+	1.96656i	−0.454747	+	0.188362i	−0.598286	−	0.801282i	$-0.704152\pi$
$109$	−4.74770	+	1.96656i	−0.454747	+	0.188362i	0.143540	+	0.989645i	$0.454152\pi$
$110$	−6.39543	−	14.9217i	−0.609780	−	1.42273i
$111$	−14.7481			−1.39983
$112$	0.893526	−	0.137113i	0.0844302	−	0.0129560i
$113$	−6.22321	+	6.22321i	−0.585430	+	0.585430i	−0.936390	−	0.350960i	$-0.885855\pi$
$113$	−6.22321	+	6.22321i	−0.585430	+	0.585430i	0.350960	+	0.936390i	$0.385855\pi$
$114$	−6.37385	+	17.2132i	−0.596966	+	1.61217i
$115$	2.89902	−	6.51710i	0.270335	−	0.607723i
$116$	2.98640	−	9.11643i	0.277280	−	0.846439i
$117$	−4.11747	+	1.70551i	−0.380660	+	0.157675i
$118$	2.60590	+	2.41469i	0.239892	+	0.222291i
$119$	−0.857720	+	0.857720i	−0.0786270	+	0.0786270i
$120$	−4.43997	+	14.1351i	−0.405312	+	1.29035i
$121$	−10.8582	−	10.8582i	−0.987107	−	0.987107i
$122$	0.257037	+	6.74915i	0.0232710	+	0.611039i
$123$	−1.24108	−	2.99623i	−0.111904	−	0.270161i
$124$	12.0900	−	14.0867i	1.08571	−	1.26502i
$125$	−3.46546	−	10.6297i	−0.309960	−	0.950749i
$126$	−0.332024	−	0.722503i	−0.0295791	−	0.0643657i
$127$	−3.34235	−	3.34235i	−0.296586	−	0.296586i	0.543089	−	0.839675i	$-0.317255\pi$
$127$	−3.34235	−	3.34235i	−0.296586	−	0.296586i	−0.839675	+	0.543089i	$0.817255\pi$
$128$	6.92912	+	8.94356i	0.612454	+	0.790506i
$129$		−	9.32905i		−	0.821377i
$130$	−2.23161	−	5.20674i	−0.195725	−	0.456661i
$131$	1.09217	+	2.63674i	0.0954236	+	0.230373i	0.964383	−	0.264511i	$-0.0852106\pi$
$131$	1.09217	+	2.63674i	0.0954236	+	0.230373i	−0.868959	+	0.494884i	$0.835211\pi$
$132$	1.82944	+	23.9834i	0.159232	+	2.08748i
$133$	1.15681	−	0.479168i	0.100309	−	0.0415492i
$134$	−12.0999	+	13.0580i	−1.04527	+	1.12804i
$135$	−2.68174	−	0.0693365i	−0.230808	−	0.00596754i
$136$	−14.5962	−	4.17352i	−1.25161	−	0.357877i
$137$			14.0141i			1.19730i	0.801009	+	0.598652i	$0.204297\pi$
$137$			14.0141i			1.19730i	−0.801009	+	0.598652i	$0.795703\pi$
$138$	−7.18290	+	7.75167i	−0.611449	+	0.659866i
$139$	−13.8674	−	5.74407i	−1.17622	−	0.487206i	−0.292975	−	0.956120i	$-0.594645\pi$
$139$	−13.8674	−	5.74407i	−1.17622	−	0.487206i	−0.883244	+	0.468914i	$0.844645\pi$
$140$	0.913132	−	0.433215i	0.0771737	−	0.0366134i
$141$	−1.92114	−	4.63803i	−0.161789	−	0.390593i
$142$	3.67102	+	7.98834i	0.308065	+	0.670367i
$143$	−6.50293	−	6.50293i	−0.543802	−	0.543802i
$144$	5.88805	−	8.02267i	0.490671	−	0.668556i
$145$	0.277213	−	10.7218i	0.0230213	−	0.890401i
$146$	6.13325	−	16.5635i	0.507592	−	1.37080i
$147$	6.22959	−	15.0396i	0.513808	−	1.24044i
$148$	−3.91970	+	11.9655i	−0.322197	+	0.983556i
$149$	−0.0367081	+	0.0886211i	−0.00300724	+	0.00726012i	−0.925376	−	0.379050i	$-0.876251\pi$
$149$	−0.0367081	+	0.0886211i	−0.00300724	+	0.00726012i	0.922369	+	0.386311i	$0.126251\pi$
$150$	−0.225813	+	16.5633i	−0.0184376	+	1.35239i
$151$	16.2593	+	16.2593i	1.32317	+	1.32317i	0.911199	+	0.411966i	$0.135158\pi$
$151$	16.2593	+	16.2593i	1.32317	+	1.32317i	0.411966	+	0.911199i	$0.364842\pi$
$152$	12.2715	+	9.74611i	0.995347	+	0.790514i
$153$			13.3533i			1.07955i
$154$	1.11522	−	1.20353i	0.0898671	−	0.0969832i
$155$	8.43539	−	18.9631i	0.677547	−	1.52315i
$156$	0.638360	+	8.36871i	0.0511097	+	0.670033i
$157$	5.16361	−	12.4661i	0.412101	−	0.994900i	−0.572472	−	0.819924i	$-0.694015\pi$
$157$	5.16361	−	12.4661i	0.412101	−	0.994900i	0.984573	−	0.174975i	$-0.0559846\pi$
$158$	8.52789	+	3.15777i	0.678442	+	0.251219i
$159$	−10.1996			−0.808880
$160$	10.2881	+	7.35902i	0.813345	+	0.581782i
$161$	0.720902			0.0568151
$162$	13.6256	+	5.04541i	1.07053	+	0.396405i
$163$	−0.413177	+	0.997498i	−0.0323625	+	0.0781300i	−0.939235	−	0.343276i	$-0.888463\pi$
$163$	−0.413177	+	0.997498i	−0.0323625	+	0.0781300i	0.906872	+	0.421406i	$0.138463\pi$
$164$	−2.76075	+	0.210588i	−0.215579	+	0.0164442i
$165$	9.64558	+	25.1028i	0.750907	+	1.95425i
$166$	2.99333	−	3.23036i	0.232328	−	0.250724i
$167$			9.77444i			0.756369i	0.925730	+	0.378185i	$0.123452\pi$
$167$			9.77444i			0.756369i	−0.925730	+	0.378185i	$0.876548\pi$
$168$	−1.48768	+	0.170633i	−0.114777	+	0.0131646i
$169$	6.92327	+	6.92327i	0.532559	+	0.532559i
$170$	−16.9718	+	0.207350i	−1.30167	+	0.0159030i
$171$	5.27492	−	12.7348i	0.403383	−	0.973853i
$172$	−7.56886	−	2.47944i	−0.577120	−	0.189055i
$173$	3.81340	−	9.20637i	0.289928	−	0.699947i	−0.710064	−	0.704138i	$-0.751334\pi$
$173$	3.81340	−	9.20637i	0.289928	−	0.699947i	0.999991	+	0.00419038i	$0.00133384\pi$
$174$	−5.51804	+	14.9020i	−0.418321	+	1.12972i
$175$	0.839239	−	0.756660i	0.0634405	−	0.0571981i
$176$	19.9444	+	4.88994i	1.50337	+	0.368593i
$177$	−4.16128	−	4.16128i	−0.312781	−	0.312781i
$178$	−1.63195	−	3.55120i	−0.122320	−	0.266174i
$179$	1.30341	+	3.14672i	0.0974217	+	0.235197i	0.965075	−	0.261972i	$-0.0843729\pi$
$179$	1.30341	+	3.14672i	0.0974217	+	0.235197i	−0.867654	+	0.497169i	$0.834373\pi$
$180$	3.73575	−	10.4802i	0.278447	−	0.781148i
$181$	−18.5221	−	7.67212i	−1.37674	−	0.570264i	−0.433132	−	0.901330i	$-0.642592\pi$
$181$	−18.5221	−	7.67212i	−1.37674	−	0.570264i	−0.943608	+	0.331066i	$0.892592\pi$
$182$	0.389143	−	0.419957i	0.0288452	−	0.0311293i
$183$		−	11.1880i		−	0.827038i
$184$	4.38006	+	7.88785i	0.322902	+	0.581500i
$185$	−0.363847	+	14.0726i	−0.0267506	+	1.03464i
$186$	−20.9004	+	22.5554i	−1.53249	+	1.65384i
$187$	−25.4573	+	10.5448i	−1.86162	+	0.771110i
$188$	−4.27353	+	0.325982i	−0.311679	+	0.0237747i
$189$	−0.103757	−	0.250492i	−0.00754723	−	0.0182206i
$190$	16.2676	+	6.50657i	1.18017	+	0.472036i
$191$		−	15.6968i		−	1.13578i	−0.823103	−	0.567892i	$-0.807759\pi$
$191$		−	15.6968i		−	1.13578i	0.823103	−	0.567892i	$-0.192241\pi$
$192$	−10.9059	−	15.2409i	−0.787062	−	1.09992i
$193$	18.7999	+	18.7999i	1.35324	+	1.35324i	0.882008	+	0.471235i	$0.156192\pi$
$193$	18.7999	+	18.7999i	1.35324	+	1.35324i	0.471235	+	0.882008i	$0.343808\pi$
$194$	−6.61596	−	14.3967i	−0.474998	−	1.03362i
$195$	3.36571	+	8.75931i	0.241023	+	0.627267i
$196$	−10.5462	−	9.05135i	−0.753303	−	0.646525i
$197$	−4.35799	−	10.5211i	−0.310494	−	0.749598i	−0.999687	−	0.0250205i	$-0.992035\pi$
$197$	−4.35799	−	10.5211i	−0.310494	−	0.749598i	0.689193	−	0.724578i	$-0.257965\pi$
$198$	−0.687406	−	18.0496i	−0.0488518	−	1.28273i
$199$	−9.08836	−	9.08836i	−0.644257	−	0.644257i	0.307342	−	0.951599i	$-0.400560\pi$
$199$	−9.08836	−	9.08836i	−0.644257	−	0.644257i	−0.951599	+	0.307342i	$0.900560\pi$
$200$	13.3781	+	4.58533i	0.945978	+	0.324232i
$201$	20.8520	−	20.8520i	1.47078	−	1.47078i
$202$	−18.9551	−	17.5643i	−1.33368	−	1.23582i
$203$	1.00149	−	0.414830i	0.0702907	−	0.0291154i
$204$	23.8977	+	7.82851i	1.67318	+	0.548105i
$205$	−2.88961	+	1.11031i	−0.201819	+	0.0775476i
$206$	−4.15114	+	11.2106i	−0.289224	+	0.781078i
$207$	5.61163	−	5.61163i	0.390035	−	0.390035i
$208$	6.95938	+	1.70629i	0.482546	+	0.118310i
$209$	28.4436			1.96749
$210$	−1.53880	+	0.659530i	−0.106187	+	0.0455119i
$211$	−4.07303	+	1.68710i	−0.280399	+	0.116145i	−0.518451	−	0.855107i	$-0.673491\pi$
$211$	−4.07303	+	1.68710i	−0.280399	+	0.116145i	0.238052	+	0.971252i	$0.423491\pi$
$212$	−2.71081	+	8.27515i	−0.186179	+	0.568339i
$213$	−5.57299	−	13.4544i	−0.381855	−	0.921880i
$214$	−8.05306	+	0.306696i	−0.550496	+	0.0209653i
$215$	−8.90174	−	0.230155i	−0.607094	−	0.0156964i
$216$	2.11038	−	2.65721i	0.143593	−	0.180800i
$217$	2.09764			0.142397
$218$	−0.276576	−	7.26219i	−0.0187321	−	0.491858i
$219$	−11.1964	+	27.0306i	−0.756585	+	1.82656i
$220$	22.9300	−	1.15395i	1.54594	−	0.0777995i
$221$	−8.88303	+	3.67947i	−0.597537	+	0.247508i
$222$	7.24252	−	19.5592i	0.486086	−	1.31272i
$223$	−9.37022	+	9.37022i	−0.627476	+	0.627476i	−0.947432	−	0.319956i	$-0.896332\pi$
$223$	−9.37022	+	9.37022i	−0.627476	+	0.627476i	0.319956	+	0.947432i	$0.396332\pi$
$224$	−0.256952	+	1.25234i	−0.0171683	+	0.0836754i
$225$	0.642810	−	12.4228i	0.0428540	−	0.828184i
$226$	−5.19720	−	11.3094i	−0.345713	−	0.752290i
$227$	−6.24504	−	2.58678i	−0.414498	−	0.171691i	0.165682	−	0.986179i	$-0.447018\pi$
$227$	−6.24504	−	2.58678i	−0.414498	−	0.171691i	−0.580179	+	0.814489i	$0.697018\pi$
$228$	−19.6983	−	16.9062i	−1.30455	−	1.11964i
$229$	−11.5133	−	4.76897i	−0.760820	−	0.315142i	−0.0316725	−	0.999498i	$-0.510083\pi$
$229$	−11.5133	−	4.76897i	−0.760820	−	0.315142i	−0.729148	+	0.684356i	$0.760083\pi$
$230$	7.21941	+	7.04514i	0.476034	+	0.464543i
$231$	−1.92188	+	1.92188i	−0.126450	+	0.126450i
$232$	10.6238	+	8.43750i	0.697484	+	0.553949i
$233$	−9.04855			−0.592790			−0.296395	−	0.955065i	$-0.595785\pi$
$233$	−9.04855			−0.592790			−0.296395	+	0.955065i	$0.595785\pi$
$234$	−0.239862	−	6.29818i	−0.0156803	−	0.411725i
$235$	−4.47299	+	1.71872i	−0.291786	+	0.112117i
$236$	−4.48210	+	2.27017i	−0.291760	+	0.147775i
$237$	−13.9170	−	5.76461i	−0.904006	−	0.374452i
$238$	−0.716309	−	1.55873i	−0.0464314	−	0.101037i
$239$			12.8060i			0.828354i	0.910196	+	0.414177i	$0.135930\pi$
$239$			12.8060i			0.828354i	−0.910196	+	0.414177i	$0.864070\pi$
$240$	−16.5658	−	12.8298i	−1.06932	−	0.828162i
$241$			20.8499i			1.34306i	0.740977	+	0.671530i	$0.234363\pi$
$241$			20.8499i			1.34306i	−0.740977	+	0.671530i	$0.765637\pi$
$242$	19.7325	−	9.06801i	1.26845	−	0.582914i
$243$	−18.9111	−	7.83322i	−1.21315	−	0.502501i
$244$	−9.07703	−	2.97349i	−0.581097	−	0.190358i
$245$	−14.1970	−	6.31529i	−0.907013	−	0.403469i
$246$	4.58310	−	0.174545i	0.292208	−	0.0111286i
$247$	9.92507			0.631517
$248$	12.7448	+	22.9516i	0.809298	+	1.45743i
$249$	−5.15846	+	5.15846i	−0.326904	+	0.326904i
$250$	15.7991	+	0.624099i	0.999221	+	0.0394715i
$251$	19.6898	+	8.15577i	1.24281	+	0.514787i	0.904591	−	0.426281i	$-0.140177\pi$
$251$	19.6898	+	8.15577i	1.24281	+	0.514787i	0.338216	+	0.941068i	$0.390177\pi$
$252$	1.12124	−	0.0855277i	0.0706317	−	0.00538774i
$253$	15.1296	+	6.26690i	0.951193	+	0.393997i
$254$	6.07404	−	2.79131i	0.381119	−	0.175142i
$255$	28.1062	+	0.726685i	1.76008	+	0.0455068i
$256$	−15.2638	+	4.79748i	−0.953989	+	0.299843i
$257$	8.85918	−	8.85918i	0.552620	−	0.552620i	−0.374576	−	0.927196i	$-0.622212\pi$
$257$	8.85918	−	8.85918i	0.552620	−	0.552620i	0.927196	+	0.374576i	$0.122212\pi$
$258$	12.3723	+	4.58131i	0.770266	+	0.285220i
$259$	−1.31447	+	0.544472i	−0.0816773	+	0.0338318i
$260$	8.00114	−	0.402658i	0.496210	−	0.0249718i
$261$	4.56665	−	11.0249i	0.282669	−	0.682423i
$262$	−4.03322	+	0.153603i	−0.249173	+	0.00948960i
$263$	18.0021			1.11006			0.555029	−	0.831831i	$-0.312707\pi$
$263$	18.0021			1.11006			0.555029	+	0.831831i	$0.312707\pi$
$264$	−32.7055	−	9.35154i	−2.01288	−	0.575548i
$265$	−0.251631	+	9.73241i	−0.0154576	+	0.597857i
$266$	0.0673900	+	1.76949i	0.00413194	+	0.108495i
$267$	2.47746	+	5.98113i	0.151618	+	0.366039i
$268$	−11.3757	−	22.4596i	−0.694881	−	1.37194i
$269$	17.6377	−	7.30577i	1.07539	−	0.445440i	0.226499	−	0.974011i	$-0.427272\pi$
$269$	17.6377	−	7.30577i	1.07539	−	0.445440i	0.848889	+	0.528571i	$0.177272\pi$
$270$	1.40891	−	3.52251i	0.0857434	−	0.214373i
$271$	−17.5161			−1.06403			−0.532015	−	0.846735i	$-0.678565\pi$
$271$	−17.5161			−1.06403			−0.532015	+	0.846735i	$0.678565\pi$
$272$	12.7029	−	17.3081i	0.770225	−	1.04946i
$273$	−0.670617	+	0.670617i	−0.0405876	+	0.0405876i
$274$	−18.5857	−	6.88204i	−1.12280	−	0.415759i
$275$	24.1909	−	8.58447i	1.45877	−	0.517663i
$276$	−6.75299	−	13.3327i	−0.406482	−	0.802537i
$277$	13.7813	−	5.70841i	0.828040	−	0.342985i	0.0719134	−	0.997411i	$-0.477089\pi$
$277$	13.7813	−	5.70841i	0.828040	−	0.342985i	0.756126	+	0.654426i	$0.227089\pi$
$278$	14.4279	−	15.5703i	0.865327	−	0.933847i
$279$	16.3284	−	16.3284i	0.977555	−	0.977555i
$280$	0.126115	+	1.42375i	0.00753680	+	0.0850854i
$281$	−1.88009	−	1.88009i	−0.112157	−	0.112157i	0.648801	−	0.760958i	$-0.275271\pi$
$281$	−1.88009	−	1.88009i	−0.112157	−	0.112157i	−0.760958	+	0.648801i	$0.775271\pi$
$282$	7.09445	−	0.270188i	0.422468	−	0.0160894i
$283$	−3.45874	−	8.35014i	−0.205601	−	0.496364i	0.787120	−	0.616799i	$-0.211571\pi$
$283$	−3.45874	−	8.35014i	−0.205601	−	0.496364i	−0.992721	+	0.120435i	$0.961571\pi$
$284$	−12.3970	+	0.945636i	−0.735627	+	0.0561132i
$285$	−26.5173	−	11.7957i	−1.57075	−	0.698719i
$286$	11.8177	−	5.43081i	0.698797	−	0.321130i
$287$	−0.221230	−	0.221230i	−0.0130588	−	0.0130588i
$288$	7.74826	+	11.7486i	0.456571	+	0.692292i
$289$			11.8084i			0.694611i
$290$	14.0833	+	5.63293i	0.827001	+	0.330777i
$291$	10.0437	+	24.2477i	0.588773	+	1.42142i
$292$	18.9548	+	16.2680i	1.10924	+	0.952012i
$293$	−30.2498	+	12.5299i	−1.76721	+	0.732002i	−0.771847	+	0.635808i	$0.780667\pi$
$293$	−30.2498	+	12.5299i	−1.76721	+	0.732002i	−0.995363	+	0.0961937i	$0.969333\pi$
$294$	16.8864	+	15.6474i	0.984836	+	0.912575i
$295$	−4.07334	+	3.86802i	−0.237159	+	0.225205i
$296$	−13.9439	−	11.0744i	−0.810471	−	0.643684i
$297$		−	6.15907i		−	0.357386i
$298$	−0.0995038	−	0.0922028i	−0.00576410	−	0.00534116i
$299$	5.27931	+	2.18676i	0.305310	+	0.126464i
$300$	−21.8556	−	8.43339i	−1.26183	−	0.486902i
$301$	−0.344410	−	0.831479i	−0.0198515	−	0.0479257i
$302$	−29.5480	+	13.5787i	−1.70029	+	0.781366i
$303$	30.2688	+	30.2688i	1.73890	+	1.73890i
$304$	−18.9517	+	11.4884i	−1.08695	+	0.658907i
$305$	−10.6755	−	0.276015i	−0.611278	−	0.0158046i
$306$	−17.7093	−	6.55754i	−1.01237	−	0.374869i
$307$	−8.57569	+	20.7036i	−0.489441	+	1.18161i	0.465562	+	0.885015i	$0.345852\pi$
$307$	−8.57569	+	20.7036i	−0.489441	+	1.18161i	−0.955002	+	0.296599i	$0.904148\pi$
$308$	1.04847	+	2.07005i	0.0597423	+	0.117952i
$309$	7.57804	−	18.2950i	0.431100	−	1.04077i
$310$	21.0066	+	20.4995i	1.19310	+	1.16429i
$311$	−1.03362	−	1.03362i	−0.0586114	−	0.0586114i	0.677194	−	0.735805i	$-0.263196\pi$
$311$	−1.03362	−	1.03362i	−0.0586114	−	0.0586114i	−0.735805	+	0.677194i	$0.763196\pi$
$312$	−11.4122	−	3.26311i	−0.646087	−	0.184737i
$313$			14.1458i			0.799567i	0.916610	+	0.399783i	$0.130915\pi$
$313$			14.1458i			0.799567i	−0.916610	+	0.399783i	$0.869085\pi$
$314$	13.9969	+	12.9699i	0.789891	+	0.731933i
$315$	1.17358	−	0.450939i	0.0661235	−	0.0254075i
$316$	−8.37576	+	9.75907i	−0.471173	+	0.548991i
$317$	−6.35906	+	15.3521i	−0.357160	+	0.862261i	0.638536	+	0.769592i	$0.279540\pi$
$317$	−6.35906	+	15.3521i	−0.357160	+	0.862261i	−0.995697	+	0.0926699i	$0.970460\pi$
$318$	5.00882	−	13.5268i	0.280881	−	0.758547i
$319$	24.6245			1.37871
$320$	−14.8119	+	10.0303i	−0.828011	+	0.560712i
$321$	13.3494			0.745092
$322$	−0.354021	+	0.956070i	−0.0197288	+	0.0532797i
$323$	11.3801	−	27.4740i	0.633206	−	1.52869i
$324$	−13.3826	+	15.5928i	−0.743476	+	0.866267i
$325$	8.44114	−	2.99545i	0.468230	−	0.166158i
$326$	−1.11999	−	1.03781i	−0.0620306	−	0.0574791i
$327$			12.0384i			0.665726i
$328$	1.07647	−	3.76476i	0.0594379	−	0.207874i
$329$	−0.342454	−	0.342454i	−0.0188801	−	0.0188801i
$330$	−38.0284	+	0.464605i	−2.09339	+	0.0255757i
$331$	−3.71126	+	8.95976i	−0.203989	+	0.492473i	−0.992456	−	0.122605i	$-0.960875\pi$
$331$	−3.71126	+	8.95976i	−0.203989	+	0.492473i	0.788467	+	0.615078i	$0.210875\pi$
$332$	2.81417	+	5.55616i	0.154448	+	0.304934i
$333$	−5.99381	+	14.4703i	−0.328459	+	0.792970i
$334$	−12.9630	−	4.80004i	−0.709303	−	0.262646i
$335$	−19.3824	−	20.4113i	−1.05897	−	1.11519i
$336$	0.504277	−	2.05678i	0.0275105	−	0.112206i
$337$	−6.70515	−	6.70515i	−0.365253	−	0.365253i	0.500490	−	0.865742i	$-0.333153\pi$
$337$	−6.70515	−	6.70515i	−0.365253	−	0.365253i	−0.865742	+	0.500490i	$0.833153\pi$
$338$	−12.5816	+	5.78184i	−0.684349	+	0.314491i
$339$	7.88989	+	19.0479i	0.428520	+	1.03454i
$340$	8.05951	−	22.6100i	0.437088	−	1.22620i
$341$	44.0233	+	18.2351i	2.38400	+	0.987484i
$342$	14.2986	+	13.2495i	0.773180	+	0.716449i
$343$		−	3.15240i		−	0.170214i
$344$	7.00518	−	8.82031i	0.377694	−	0.475559i
$345$	−11.5060	−	12.1168i	−0.619465	−	0.652347i
$346$	10.3369	+	9.57845i	0.555716	+	0.514941i
$347$	−9.28572	+	3.84627i	−0.498483	+	0.206479i	−0.617736	−	0.786385i	$-0.711950\pi$
$347$	−9.28572	+	3.84627i	−0.498483	+	0.206479i	0.119253	+	0.992864i	$0.461950\pi$
$348$	−17.0534	−	14.6362i	−0.914160	−	0.784581i
$349$	−11.4998	−	27.7630i	−0.615571	−	1.48612i	−0.856799	−	0.515651i	$-0.827550\pi$
$349$	−11.4998	−	27.7630i	−0.615571	−	1.48612i	0.241228	−	0.970469i	$-0.422450\pi$
$350$	0.591358	+	1.48459i	0.0316094	+	0.0793547i
$351$		−	2.14914i		−	0.114712i
$352$	−16.2794	+	24.0492i	−0.867696	+	1.28183i
$353$	−11.7316	−	11.7316i	−0.624411	−	0.624411i	0.322245	−	0.946656i	$-0.395563\pi$
$353$	−11.7316	−	11.7316i	−0.624411	−	0.624411i	−0.946656	+	0.322245i	$0.895563\pi$
$354$	7.56226	−	3.47522i	0.401930	−	0.184706i
$355$	−12.9756	+	4.98580i	−0.688675	+	0.264619i
$356$	5.51107	−	0.420381i	0.292086	−	0.0222801i
$357$	1.08743	+	2.62529i	0.0575530	+	0.138945i
$358$	−4.81330	+	0.183311i	−0.254391	+	0.00968831i
$359$	8.37535	+	8.37535i	0.442034	+	0.442034i	0.892695	−	0.450661i	$-0.148812\pi$
$359$	8.37535	+	8.37535i	0.442034	+	0.442034i	−0.450661	+	0.892695i	$0.648812\pi$
$360$	12.0644	+	10.1010i	0.635851	+	0.532371i
$361$	−8.27096	+	8.27096i	−0.435314	+	0.435314i
$362$	19.2707	−	20.7967i	1.01285	−	1.09305i
$363$	−33.2345	+	13.7662i	−1.74436	+	0.722537i
$364$	0.365852	+	0.722320i	0.0191759	+	0.0378598i
$365$	25.5163	+	11.3505i	1.33558	+	0.594111i
$366$	14.8376	+	5.49419i	0.775574	+	0.287186i
$367$	0.784600	−	0.784600i	0.0409558	−	0.0409558i	−0.686332	−	0.727288i	$-0.740780\pi$
$367$	0.784600	−	0.784600i	0.0409558	−	0.0409558i	0.727288	+	0.686332i	$0.240780\pi$
$368$	−12.6119	+	1.93532i	−0.657442	+	0.100886i
$369$	−3.44418			−0.179297
$370$	−18.4846	−	7.39332i	−0.960968	−	0.384361i
$371$	−0.909069	+	0.376549i	−0.0471965	+	0.0195494i
$372$	−19.6494	−	38.7948i	−1.01878	−	2.01142i
$373$	−1.69098	−	4.08238i	−0.0875556	−	0.211378i	0.874037	−	0.485860i	$-0.161494\pi$
$373$	−1.69098	−	4.08238i	−0.0875556	−	0.211378i	−0.961592	+	0.274482i	$0.911494\pi$
$374$	−1.48301	−	38.9402i	−0.0766847	−	2.01355i
$375$	−26.1126	−	2.02904i	−1.34845	−	0.104779i
$376$	1.66632	−	5.82769i	0.0859341	−	0.300540i
$377$	8.59243			0.442533
$378$	0.383159	−	0.0145924i	0.0197076	−	0.000750550i
$379$	9.54243	−	23.0375i	0.490162	−	1.18335i	−0.464476	−	0.885586i	$-0.653757\pi$
$379$	9.54243	−	23.0375i	0.490162	−	1.18335i	0.954638	−	0.297769i	$-0.0962426\pi$
$380$	−16.6178	+	18.3790i	−0.852474	+	0.942823i
$381$	−10.2302	+	4.23749i	−0.524110	+	0.217093i
$382$	20.8173	+	7.70841i	1.06511	+	0.394397i
$383$	−0.000622782	0	0.000622782i	−3.18227e−5	0	3.18227e-5i	−0.707123	−	0.707091i	$-0.750007\pi$
$383$	−0.000622782	0	0.000622782i	−3.18227e−5	0	3.18227e-5i	0.707091	+	0.707123i	$0.250007\pi$
$384$	25.5684	−	6.97896i	1.30478	−	0.356143i
$385$	1.78644	+	1.88126i	0.0910452	+	0.0958781i
$386$	−34.1648	+	15.7004i	−1.73894	+	0.799127i
$387$	−9.15333	−	3.79143i	−0.465290	−	0.192729i
$388$	22.3420	−	1.70424i	1.13424	−	0.0865195i
$389$	−22.8377	−	9.45969i	−1.15792	−	0.479625i	−0.280736	−	0.959785i	$-0.590579\pi$
$389$	−22.8377	−	9.45969i	−1.15792	−	0.479625i	−0.877181	+	0.480160i	$0.840579\pi$
$390$	−13.2695	+	0.162118i	−0.671929	+	0.00820919i
$391$	12.1065	−	12.1065i	0.612254	−	0.612254i
$392$	17.1831	−	9.54162i	0.867876	−	0.481925i
$393$	6.68581			0.337254
$394$	16.0934	−	0.612905i	0.810771	−	0.0308777i
$395$	−5.84391	+	13.1373i	−0.294039	+	0.661011i
$396$	24.2751	+	7.95214i	1.21987	+	0.399610i
$397$	2.94650	+	1.22048i	0.147881	+	0.0612542i	0.455396	−	0.890289i	$-0.349498\pi$
$397$	2.94650	+	1.22048i	0.147881	+	0.0612542i	−0.307516	+	0.951543i	$0.599498\pi$
$398$	16.5162	−	7.58998i	0.827883	−	0.380451i
$399$		−	2.93326i		−	0.146847i
$400$	−12.6509	+	15.4905i	−0.632544	+	0.774525i
$401$			12.8700i			0.642697i	0.946961	+	0.321348i	$0.104136\pi$
$401$			12.8700i			0.642697i	−0.946961	+	0.321348i	$0.895864\pi$
$402$	17.4141	+	37.8941i	0.868538	+	1.88999i
$403$	15.3614	+	6.36291i	0.765207	+	0.316959i
$404$	32.6025	−	16.5130i	1.62203	−	0.821554i
$405$	−9.33726	+	20.9905i	−0.463972	+	1.04303i
$406$	0.0583415	+	1.53190i	0.00289544	+	0.0760270i
$407$	−32.3201			−1.60205
$408$	−22.1180	+	27.8490i	−1.09500	+	1.37873i
$409$	16.2217	−	16.2217i	0.802112	−	0.802112i	−0.181314	−	0.983425i	$-0.558035\pi$
$409$	16.2217	−	16.2217i	0.802112	−	0.802112i	0.983425	+	0.181314i	$0.0580349\pi$
$410$	−0.0534812	−	4.37749i	−0.00264125	−	0.216189i
$411$	30.3307	+	12.5634i	1.49610	+	0.619706i
$412$	−12.8291	−	11.0106i	−0.632043	−	0.542453i
$413$	−0.524513	−	0.217260i	−0.0258096	−	0.0106907i
$414$	4.68645	+	10.1980i	0.230327	+	0.501203i
$415$	4.79492	+	5.04945i	0.235373	+	0.247868i
$416$	−5.68051	+	8.39169i	−0.278510	+	0.411436i
$417$	−24.8638	+	24.8638i	−1.21759	+	1.21759i
$418$	−13.9681	+	37.7223i	−0.683203	+	1.84506i
$419$	−8.31673	+	3.44490i	−0.406299	+	0.168294i	−0.576467	−	0.817121i	$-0.695569\pi$
$419$	−8.31673	+	3.44490i	−0.406299	+	0.168294i	0.170168	+	0.985415i	$0.445569\pi$
$420$	−0.119002	−	2.36466i	−0.00580669	−	0.115384i
$421$	11.3446	−	27.3884i	0.552904	−	1.33483i	−0.362384	−	0.932029i	$-0.618037\pi$
$421$	11.3446	−	27.3884i	0.552904	−	1.33483i	0.915288	−	0.402799i	$-0.131963\pi$
$422$	−0.237273	−	6.23021i	−0.0115503	−	0.303282i
$423$	−5.33145			−0.259224
$424$	−9.64338	−	7.65887i	−0.468324	−	0.371947i
$425$	1.38680	−	26.8009i	0.0672697	−	1.30003i
$426$	20.5802	−	0.783783i	0.997113	−	0.0379744i
$427$	−0.413037	−	0.997161i	−0.0199883	−	0.0482560i
$428$	3.54796	−	10.8307i	0.171497	−	0.523521i
$429$	−19.9041	+	8.24453i	−0.960977	+	0.398050i
$430$	4.67671	−	11.6926i	0.225531	−	0.563866i
$431$	9.99737			0.481556			0.240778	−	0.970580i	$-0.422597\pi$
$431$	9.99737			0.481556			0.240778	+	0.970580i	$0.422597\pi$
$432$	2.48766	+	4.10372i	0.119688	+	0.197440i
$433$	2.15196	−	2.15196i	0.103416	−	0.103416i	−0.653505	−	0.756922i	$-0.726702\pi$
$433$	2.15196	−	2.15196i	0.103416	−	0.103416i	0.756922	+	0.653505i	$0.226702\pi$
$434$	−1.03011	+	2.78192i	−0.0494468	+	0.133536i
$435$	−22.9568	−	10.2119i	−1.10069	−	0.489624i
$436$	9.76703	+	3.19952i	0.467756	+	0.153229i
$437$	−16.3282	+	6.76336i	−0.781083	+	0.323535i
$438$	−30.3500	−	28.1231i	−1.45018	−	1.34377i
$439$	6.06619	−	6.06619i	0.289523	−	0.289523i	−0.547368	−	0.836892i	$-0.684370\pi$
$439$	6.06619	−	6.06619i	0.289523	−	0.289523i	0.836892	+	0.547368i	$0.184370\pi$
$440$	−9.73008	+	30.9767i	−0.463863	+	1.47676i
$441$	−12.2245	−	12.2245i	−0.582119	−	0.582119i
$442$	−0.517479	−	13.5877i	−0.0246140	−	0.646301i
$443$	1.86429	+	4.50080i	0.0885752	+	0.213839i	0.961959	−	0.273192i	$-0.0880796\pi$
$443$	1.86429	+	4.50080i	0.0885752	+	0.213839i	−0.873384	+	0.487032i	$0.838080\pi$
$444$	22.3829	+	19.2102i	1.06225	+	0.911678i
$445$	5.76829	−	2.21643i	0.273443	−	0.105069i
$446$	−7.82537	−	17.0284i	−0.370542	−	0.806320i
$447$	0.158894	+	0.158894i	0.00751545	+	0.00751545i
$448$	−1.53468	−	0.955772i	−0.0725070	−	0.0451560i
$449$			4.32608i			0.204160i	0.994776	+	0.102080i	$0.0325498\pi$
$449$			4.32608i			0.204160i	−0.994776	+	0.102080i	$0.967450\pi$
$450$	16.1595	+	6.95308i	0.761768	+	0.327771i
$451$	−2.71979	−	6.56615i	−0.128070	−	0.309188i
$452$	17.5509	−	1.33877i	0.825525	−	0.0629705i
$453$	49.7663	−	20.6139i	2.33822	−	0.968524i
$454$	6.49744	−	7.01193i	0.304940	−	0.329086i
$455$	0.623355	+	0.656445i	0.0292234	+	0.0307746i
$456$	32.0946	−	17.8219i	1.50297	−	0.834587i
$457$			9.38671i			0.439092i	0.975602	+	0.219546i	$0.0704576\pi$
$457$			9.38671i			0.439092i	−0.975602	+	0.219546i	$0.929542\pi$
$458$	11.9786	−	12.9271i	0.559724	−	0.604046i
$459$	−5.94911	−	2.46420i	−0.277681	−	0.115019i
$460$	−12.8887	+	6.11475i	−0.600937	+	0.285101i
$461$	3.72064	+	8.98242i	0.173288	+	0.418353i	0.986532	−	0.163569i	$-0.0523007\pi$
$461$	3.72064	+	8.98242i	0.173288	+	0.418353i	−0.813244	+	0.581922i	$0.802301\pi$
$462$	−1.60502	−	3.49262i	−0.0746724	−	0.162491i
$463$	20.1132	+	20.1132i	0.934741	+	0.934741i	0.997997	−	0.0632561i	$-0.0201485\pi$
$463$	20.1132	+	20.1132i	0.934741	+	0.934741i	−0.0632561	+	0.997997i	$0.520148\pi$
$464$	−16.4070	+	9.94588i	−0.761678	+	0.461726i
$465$	−33.4796	−	35.2568i	−1.55258	−	1.63499i
$466$	4.44357	−	12.0003i	0.205844	−	0.555903i
$467$	−5.23762	+	12.6447i	−0.242368	+	0.585129i	−0.997517	−	0.0704247i	$-0.977565\pi$
$467$	−5.23762	+	12.6447i	−0.242368	+	0.585129i	0.755149	+	0.655553i	$0.227565\pi$
$468$	8.47052	+	2.77481i	0.391550	+	0.128265i
$469$	1.08868	−	2.62831i	0.0502706	−	0.121364i
$470$	−0.0827866	−	6.77616i	−0.00381866	−	0.312561i
$471$	−22.3512	−	22.3512i	−1.02989	−	1.02989i
$472$	−0.809652	−	7.05906i	−0.0372673	−	0.324919i
$473$		−	20.4443i		−	0.940032i
$474$	14.4795	−	15.6260i	0.665064	−	0.717727i
$475$	−11.9096	+	25.0117i	−0.546452	+	1.14761i
$476$	2.41897	−	0.184518i	0.110873	−	0.00845735i
$477$	−4.14523	+	10.0075i	−0.189797	+	0.458211i
$478$	−16.9835	−	6.28879i	−0.776808	−	0.287643i
$479$	−15.1151			−0.690626			−0.345313	−	0.938488i	$-0.612227\pi$
$479$	−15.1151			−0.690626			−0.345313	+	0.938488i	$0.612227\pi$
$480$	25.1502	−	15.6693i	1.14795	−	0.715202i
$481$	−11.2777			−0.514219
$482$	−27.6514	−	10.2390i	−1.25949	−	0.466373i
$483$	0.646276	−	1.56025i	0.0294066	−	0.0709938i
$484$	2.33587	+	30.6226i	0.106176	+	1.39194i
$485$	23.3848	−	8.98547i	1.06185	−	0.408009i
$486$	19.6754	−	21.2334i	0.892493	−	0.963165i
$487$		−	17.9115i		−	0.811646i	−0.913952	−	0.405823i	$-0.866985\pi$
$487$		−	17.9115i		−	0.811646i	0.913952	−	0.405823i	$-0.133015\pi$
$488$	8.40103	−	10.5779i	0.380297	−	0.478837i
$489$	1.78848	+	1.78848i	0.0808778	+	0.0808778i
$490$	15.3473	−	15.7269i	0.693320	−	0.710470i
$491$	9.45122	−	22.8173i	0.426528	−	1.02973i	−0.553853	−	0.832615i	$-0.686843\pi$
$491$	9.45122	−	22.8173i	0.426528	−	1.02973i	0.980380	−	0.197114i	$-0.0631571\pi$
$492$	−2.01919	+	6.16389i	−0.0910321	+	0.277889i
$493$	9.85210	−	23.7851i	0.443716	−	1.07123i
$494$	−4.87401	+	13.1628i	−0.219292	+	0.592220i
$495$	28.5500	+	0.738161i	1.28323	+	0.0331779i
$496$	−36.6974	+	5.63128i	−1.64776	+	0.252852i
$497$	−0.993420	−	0.993420i	−0.0445610	−	0.0445610i
$498$	−4.30799	−	9.37443i	−0.193046	−	0.420078i
$499$	−5.52575	−	13.3403i	−0.247367	−	0.597196i	0.750612	−	0.660743i	$-0.229759\pi$
$499$	−5.52575	−	13.3403i	−0.247367	−	0.597196i	−0.997979	+	0.0635470i	$0.979759\pi$
$500$	−8.58630	+	20.6464i	−0.383991	+	0.923337i
$501$	21.1548	+	8.76262i	0.945128	+	0.391485i
$502$	−20.4855	+	22.1077i	−0.914314	+	0.986714i
$503$			1.71272i			0.0763665i	0.999271	+	0.0381832i	$0.0121571\pi$
$503$			1.71272i			0.0763665i	−0.999271	+	0.0381832i	$0.987843\pi$
$504$	−0.437193	+	1.52901i	−0.0194741	+	0.0681074i
$505$	29.6292	−	28.1357i	1.31848	−	1.25202i
$506$	−15.7411	+	16.9876i	−0.699778	+	0.755190i
$507$	21.1906	−	8.77744i	0.941108	−	0.389820i
$508$	0.719026	+	9.42622i	0.0319016	+	0.418221i
$509$	10.6756	+	25.7732i	0.473188	+	1.14238i	0.962746	+	0.270406i	$0.0871579\pi$
$509$	10.6756	+	25.7732i	0.473188	+	1.14238i	−0.489559	+	0.871970i	$0.662842\pi$
$510$	−14.7661	+	36.9179i	−0.653855	+	1.63475i
$511$			2.82253i			0.124862i
$512$	1.13328	−	22.5990i	0.0500845	−	0.998745i
$513$	4.70013	+	4.70013i	0.207516	+	0.207516i
$514$	7.39858	+	16.0997i	0.326337	+	0.710128i
$515$	−17.2701	−	7.68229i	−0.761010	−	0.338522i
$516$	−12.1516	+	14.1585i	−0.534944	+	0.623294i
$517$	−4.21011	−	10.1641i	−0.185161	−	0.447017i
$518$	−0.0765742	−	2.01065i	−0.00336448	−	0.0883428i
$519$	−16.5067	−	16.5067i	−0.724563	−	0.724563i
$520$	−3.39519	+	10.8090i	−0.148889	+	0.474004i
$521$	7.24365	−	7.24365i	0.317350	−	0.317350i	−0.530398	−	0.847748i	$-0.677958\pi$
$521$	7.24365	−	7.24365i	0.317350	−	0.317350i	0.847748	+	0.530398i	$0.177958\pi$
$522$	12.3787	+	11.4705i	0.541802	+	0.502048i
$523$	0.321984	−	0.133370i	0.0140794	−	0.00583187i	−0.375633	−	0.926769i	$-0.622575\pi$
$523$	0.321984	−	0.133370i	0.0140794	−	0.00583187i	0.389712	+	0.920937i	$0.372575\pi$
$524$	1.77693	−	5.42434i	0.0776254	−	0.236963i
$525$	−0.885276	−	2.49470i	−0.0386366	−	0.108878i
$526$	−8.84049	+	23.8747i	−0.385464	+	1.04098i
$527$	35.2269	−	35.2269i	1.53451	−	1.53451i
$528$	28.4631	−	38.7820i	1.23870	−	1.68777i
$529$	12.8246			0.557592
$530$	−12.7837	−	5.11311i	−0.555287	−	0.222100i
$531$	−5.77409	+	2.39171i	−0.250574	+	0.103791i
$532$	−2.37982	−	0.779590i	−0.103178	−	0.0337995i
$533$	−0.949037	−	2.29118i	−0.0411074	−	0.0992420i
$534$	−9.14888	+	0.348429i	−0.395911	+	0.0150780i
$535$	0.329340	−	12.7380i	0.0142386	−	0.550711i
$536$	35.3726	−	4.05712i	1.52786	−	0.175241i
$537$	7.97893			0.344316
$538$	1.02748	+	26.9790i	0.0442978	+	1.16315i
$539$	13.6520	−	32.9588i	0.588032	−	1.41963i
$540$	3.97972	+	3.59835i	0.171260	+	0.154848i
$541$	−28.3090	+	11.7260i	−1.21710	+	0.504138i	−0.896486	−	0.443072i	$-0.853889\pi$
$541$	−28.3090	+	11.7260i	−1.21710	+	0.504138i	−0.320612	+	0.947211i	$0.603889\pi$
$542$	8.60183	−	23.2301i	0.369480	−	0.997819i
$543$	−33.2096	+	33.2096i	−1.42516	+	1.42516i
$544$	16.7161	+	25.3464i	0.716697	+	1.08672i
$545$	11.4870	+	0.296997i	0.492050	+	0.0127219i
$546$	−0.560054	−	1.21871i	−0.0239681	−	0.0521559i
$547$	−41.1640	−	17.0507i	−1.76005	−	0.729035i	−0.996529	−	0.0832461i	$-0.973471\pi$
$547$	−41.1640	−	17.0507i	−1.76005	−	0.729035i	−0.763516	−	0.645789i	$-0.776529\pi$
$548$	18.2541	−	21.2689i	0.779777	−	0.908562i
$549$	−10.9772	−	4.54692i	−0.468497	−	0.194058i
$550$	−0.494863	+	36.2980i	−0.0211010	+	1.54775i
$551$	−18.7915	+	18.7915i	−0.800546	+	0.800546i
$552$	20.9983	−	2.40844i	0.893748	−	0.102510i
$553$	−1.45321			−0.0617969
$554$	0.802828	+	21.0803i	0.0341089	+	0.895615i
$555$	30.1312	+	13.4033i	1.27900	+	0.568939i
$556$	13.5643	+	26.7807i	0.575256	+	1.13576i
$557$	10.8441	+	4.49179i	0.459481	+	0.190323i	0.600403	−	0.799697i	$-0.295007\pi$
$557$	10.8441	+	4.49179i	0.459481	+	0.190323i	−0.140922	+	0.990021i	$0.545007\pi$
$558$	13.6364	+	29.6735i	0.577273	+	1.25618i
$559$		−	7.13381i		−	0.301728i
$560$	−1.95013	−	0.531921i	−0.0824080	−	0.0224778i
$561$			64.5505i			2.72532i
$562$	3.41668	−	1.57013i	0.144124	−	0.0662317i
$563$	20.4133	+	8.45547i	0.860319	+	0.356356i	0.768832	−	0.639451i	$-0.220838\pi$
$563$	20.4133	+	8.45547i	0.860319	+	0.356356i	0.0914866	+	0.995806i	$0.470838\pi$
$564$	−3.12562	+	9.54143i	−0.131612	+	0.401767i
$565$	18.3701	−	7.05858i	0.772835	−	0.296957i
$566$	12.7726	−	0.486436i	0.536872	−	0.0204464i
$567$	−2.32191			−0.0975109
$568$	4.83381	−	16.9055i	0.202822	−	0.709337i
$569$	−25.9882	+	25.9882i	−1.08948	+	1.08948i	−0.0938997	+	0.995582i	$0.529933\pi$
$569$	−25.9882	+	25.9882i	−1.08948	+	1.08948i	−0.995582	+	0.0938997i	$0.970067\pi$
$570$	28.6658	−	29.3749i	1.20068	−	1.23038i
$571$	−12.1001	−	5.01202i	−0.506373	−	0.209747i	0.114846	−	0.993383i	$-0.463362\pi$
$571$	−12.1001	−	5.01202i	−0.506373	−	0.209747i	−0.621219	+	0.783637i	$0.713362\pi$
$572$	1.39895	+	18.3398i	0.0584929	+	0.766825i
$573$	−33.9727	−	14.0719i	−1.41923	−	0.587864i
$574$	0.402039	−	0.184756i	0.0167808	−	0.00771157i
$575$	−11.8457	+	10.6801i	−0.493999	+	0.445391i
$576$	−19.3861	+	4.50634i	−0.807756	+	0.187764i
$577$	2.71209	−	2.71209i	0.112906	−	0.112906i	−0.648397	−	0.761303i	$-0.724560\pi$
$577$	2.71209	−	2.71209i	0.112906	−	0.112906i	0.761303	+	0.648397i	$0.224560\pi$
$578$	−15.6604	−	5.79887i	−0.651388	−	0.241201i
$579$	57.5423	−	23.8348i	2.39137	−	0.990540i
$580$	−14.3865	+	15.9112i	−0.597367	+	0.660678i
$581$	−0.269323	+	0.650203i	−0.0111734	+	0.0269750i
$582$	−37.0898	+	1.41254i	−1.53742	+	0.0585518i
$583$	−22.3521			−0.925730
$584$	−30.8831	+	17.1491i	−1.27795	+	0.709637i
$585$	9.96219	+	0.257572i	0.411886	+	0.0106493i
$586$	−1.76219	−	46.2708i	−0.0727955	−	1.91143i
$587$	6.48324	+	15.6519i	0.267592	+	0.646024i	0.999369	−	0.0355198i	$-0.0113087\pi$
$587$	6.48324	+	15.6519i	0.267592	+	0.646024i	−0.731777	+	0.681544i	$0.761309\pi$
$588$	−29.0444	+	14.7109i	−1.19777	+	0.606666i
$589$	−47.5108	+	19.6796i	−1.95765	+	0.810885i
$590$	−3.12947	−	7.30162i	−0.128838	−	0.300603i
$591$	−26.6777			−1.09737
$592$	21.5345	−	13.0541i	0.885063	−	0.536522i
$593$	1.93032	−	1.93032i	0.0792688	−	0.0792688i	−0.666361	−	0.745630i	$-0.732149\pi$
$593$	1.93032	−	1.93032i	0.0792688	−	0.0792688i	0.745630	+	0.666361i	$0.232149\pi$
$594$	8.16824	+	3.02460i	0.335147	+	0.124101i
$595$	2.53187	−	0.972856i	0.103797	−	0.0398832i
$596$	0.171145	−	0.0866842i	0.00701037	−	0.00355072i
$597$	−27.8175	+	11.5224i	−1.13849	+	0.471580i
$598$	−5.49268	+	5.92761i	−0.224612	+	0.242398i
$599$	−9.26550	+	9.26550i	−0.378578	+	0.378578i	−0.870589	−	0.492011i	$-0.836262\pi$
$599$	−9.26550	+	9.26550i	−0.378578	+	0.378578i	0.492011	+	0.870589i	$0.336262\pi$
$600$	21.9173	−	24.8436i	0.894770	−	1.01424i
$601$	−11.9564	−	11.9564i	−0.487712	−	0.487712i	0.419872	−	0.907583i	$-0.362075\pi$
$601$	−11.9564	−	11.9564i	−0.487712	−	0.487712i	−0.907583	+	0.419872i	$0.862075\pi$
$602$	1.27185	−	0.0484377i	0.0518368	−	0.00197417i
$603$	−11.9847	−	28.9337i	−0.488056	−	1.17827i
$604$	−3.49780	−	45.8551i	−0.142323	−	1.86582i
$605$	12.3157	+	32.0519i	0.500705	+	1.30309i
$606$	−55.0073	+	25.2785i	−2.23452	+	1.02687i
$607$	22.4853	+	22.4853i	0.912650	+	0.912650i	0.996480	−	0.0838297i	$-0.0267152\pi$
$607$	22.4853	+	22.4853i	0.912650	+	0.912650i	−0.0838297	+	0.996480i	$0.526715\pi$
$608$	−5.92931	−	30.7757i	−0.240465	−	1.24812i
$609$		−	2.53941i		−	0.102902i
$610$	5.60859	−	14.0224i	0.227085	−	0.567752i
$611$	−1.46907	−	3.54665i	−0.0594322	−	0.143482i
$612$	17.3934	−	20.2660i	0.703086	−	0.819205i
$613$	0.832105	−	0.344669i	0.0336084	−	0.0139211i	−0.365816	−	0.930687i	$-0.619210\pi$
$613$	0.832105	−	0.344669i	0.0336084	−	0.0139211i	0.399424	+	0.916766i	$0.369210\pi$
$614$	−23.2460	−	21.5403i	−0.938130	−	0.869296i
$615$	−0.187432	+	7.24936i	−0.00755799	+	0.292322i
$616$	−3.26021	+	0.373936i	−0.131358	+	0.0150663i
$617$			12.1886i			0.490695i	0.969435	+	0.245348i	$0.0789021\pi$
$617$			12.1886i			0.490695i	−0.969435	+	0.245348i	$0.921098\pi$
$618$	20.5416	+	19.0344i	0.826306	+	0.765676i
$619$	−17.6375	−	7.30569i	−0.708911	−	0.293640i	−0.00105705	−	0.999999i	$-0.500336\pi$
$619$	−17.6375	−	7.30569i	−0.708911	−	0.293640i	−0.707854	+	0.706359i	$0.750336\pi$
$620$	−37.5027	+	17.7923i	−1.50614	+	0.714557i
$621$	1.46451	+	3.53564i	0.0587688	+	0.141880i
$622$	1.87840	−	0.863212i	0.0753169	−	0.0346117i
$623$	0.441623	+	0.441623i	0.0176933	+	0.0176933i
$624$	9.93187	−	13.5325i	0.397593	−	0.541734i
$625$	−2.58032	+	24.8665i	−0.103213	+	0.994659i
$626$	−18.7603	−	6.94672i	−0.749813	−	0.277647i
$627$	25.4992	−	61.5606i	1.01834	−	2.45849i
$628$	−24.0744	+	12.1936i	−0.960674	+	0.486578i
$629$	−12.9311	+	31.2183i	−0.515595	+	1.24476i
$630$	0.0217207	+	1.77786i	0.000865373	+	0.0708316i
$631$	7.10131	+	7.10131i	0.282699	+	0.282699i	0.834184	−	0.551486i	$-0.185939\pi$
$631$	7.10131	+	7.10131i	0.282699	+	0.282699i	−0.551486	+	0.834184i	$0.685939\pi$
$632$	−8.82943	−	15.9005i	−0.351216	−	0.632489i
$633$			10.3277i			0.410490i
$634$	−17.2374	−	15.9726i	−0.684584	−	0.634353i
$635$	3.79102	+	9.86618i	0.150442	+	0.391527i
$636$	15.4797	+	13.2855i	0.613811	+	0.526805i
$637$	4.76369	−	11.5006i	0.188744	−	0.455669i
$638$	−12.0926	+	32.6573i	−0.478751	+	1.29292i
$639$	−15.4659			−0.611822
$640$	−6.02850	−	24.5694i	−0.238298	−	0.971192i
$641$	21.1329			0.834698			0.417349	−	0.908746i	$-0.362959\pi$
$641$	21.1329			0.834698			0.417349	+	0.908746i	$0.362959\pi$
$642$	−6.55564	+	17.7042i	−0.258731	+	0.698728i
$643$	16.8361	−	40.6459i	0.663951	−	1.60292i	−0.127606	−	0.991825i	$-0.540729\pi$
$643$	16.8361	−	40.6459i	0.663951	−	1.60292i	0.791558	−	0.611095i	$-0.209271\pi$
$644$	−1.09410	−	0.939014i	−0.0431135	−	0.0370024i
$645$	−8.47838	+	19.0597i	−0.333836	+	0.750475i
$646$	30.8478	+	28.5844i	1.21369	+	1.12464i
$647$		−	1.66555i		−	0.0654796i	−0.999464	−	0.0327398i	$-0.989577\pi$
$647$		−	1.66555i		−	0.0654796i	0.999464	−	0.0327398i	$-0.0104233\pi$
$648$	−14.1074	−	25.4055i	−0.554193	−	0.998021i
$649$	−9.11932	−	9.11932i	−0.357965	−	0.357965i
$650$	−0.172677	+	12.6657i	−0.00677294	+	0.496792i
$651$	1.88050	−	4.53992i	0.0737025	−	0.177933i
$652$	1.92637	−	0.975697i	0.0754423	−	0.0382112i
$653$	−1.96502	+	4.74398i	−0.0768973	+	0.185646i	−0.957653	−	0.287924i	$-0.907035\pi$
$653$	−1.96502	+	4.74398i	−0.0768973	+	0.185646i	0.880756	+	0.473570i	$0.157035\pi$
$654$	−15.9655	−	5.91183i	−0.624301	−	0.231171i
$655$	0.164944	−	6.37957i	0.00644489	−	0.249271i
$656$	4.46424	+	3.27642i	0.174299	+	0.127923i
$657$	21.9711	+	21.9711i	0.857174	+	0.857174i
$658$	0.622339	−	0.285994i	0.0242613	−	0.0111492i
$659$	13.6425	+	32.9360i	0.531438	+	1.28301i	0.930571	+	0.366112i	$0.119311\pi$
$659$	13.6425	+	32.9360i	0.531438	+	1.28301i	−0.399133	+	0.916893i	$0.630689\pi$
$660$	18.0588	−	50.6619i	0.702939	−	1.97201i
$661$	21.7688	+	9.01693i	0.846708	+	0.350718i	0.763495	−	0.645814i	$-0.223482\pi$
$661$	21.7688	+	9.01693i	0.846708	+	0.350718i	0.0832131	+	0.996532i	$0.473482\pi$
$662$	−10.0600	−	9.32188i	−0.390994	−	0.362305i
$663$			22.5241i			0.874764i
$664$	−8.75064	+	1.00367i	−0.339591	+	0.0389500i
$665$	−2.79891	−	0.0723657i	−0.108537	−	0.00280622i
$666$	−16.2473	−	15.0552i	−0.629570	−	0.583376i
$667$	−14.1358	+	5.85524i	−0.547340	+	0.226716i
$668$	12.7317	−	14.8345i	0.492606	−	0.573963i
$669$	11.8797	+	28.6802i	0.459297	+	1.10884i
$670$	36.5880	−	15.6816i	1.41352	−	0.605834i
$671$		−	24.5181i		−	0.946510i
$672$	2.48008	+	1.67882i	0.0956713	+	0.0647619i
$673$	−7.17005	−	7.17005i	−0.276385	−	0.276385i	0.555279	−	0.831664i	$-0.312611\pi$
$673$	−7.17005	−	7.17005i	−0.276385	−	0.276385i	−0.831664	+	0.555279i	$0.812611\pi$
$674$	12.1852	−	5.59968i	0.469357	−	0.215692i
$675$	5.41593	+	2.57887i	0.208459	+	0.0992607i
$676$	−1.48937	−	19.5252i	−0.0572836	−	0.750971i
$677$	12.1678	+	29.3756i	0.467645	+	1.12899i	0.965188	+	0.261556i	$0.0842355\pi$
$677$	12.1678	+	29.3756i	0.467645	+	1.12899i	−0.497543	+	0.867439i	$0.665764\pi$
$678$	−29.1361	+	1.10963i	−1.11897	+	0.0426151i
$679$	1.79035	+	1.79035i	0.0687074	+	0.0687074i
$680$	26.0278	+	21.7920i	0.998120	+	0.835683i
$681$	−11.1971	+	11.1971i	−0.429075	+	0.429075i
$682$	−45.8026	+	49.4294i	−1.75387	+	1.89275i
$683$	−23.1098	+	9.57239i	−0.884271	+	0.366277i	−0.778152	−	0.628076i	$-0.783843\pi$
$683$	−23.1098	+	9.57239i	−0.884271	+	0.366277i	−0.106119	+	0.994353i	$0.533843\pi$
$684$	−24.5934	+	12.4564i	−0.940351	+	0.476284i
$685$	12.7362	−	28.6315i	0.486626	−	1.09395i
$686$	4.18076	+	1.54808i	0.159622	+	0.0591061i
$687$	−20.6429	+	20.6429i	−0.787578	+	0.787578i
$688$	8.25750	+	13.6218i	0.314814	+	0.519328i
$689$	−7.79950			−0.297137
$690$	21.7199	−	9.30913i	0.826861	−	0.354393i
$691$	1.74113	−	0.721198i	0.0662355	−	0.0274357i	−0.349320	−	0.937004i	$-0.613587\pi$
$691$	1.74113	−	0.721198i	0.0662355	−	0.0274357i	0.415555	+	0.909568i	$0.363587\pi$
$692$	−17.7793	+	9.00516i	−0.675868	+	0.342325i
$693$	1.10461	+	2.66675i	0.0419605	+	0.101302i
$694$	−0.540937	−	14.2037i	−0.0205337	−	0.539164i
$695$	23.1115	+	24.3383i	0.876670	+	0.923206i
$696$	27.7853	−	15.4289i	1.05320	−	0.584833i
$697$	−7.43048			−0.281449
$698$	42.4670	−	1.61733i	1.60740	−	0.0612168i
$699$	−8.11187	+	19.5838i	−0.306819	+	0.740727i
$700$	−2.25929	+	0.0552132i	−0.0853930	+	0.00208686i
$701$	−18.4621	+	7.64724i	−0.697303	+	0.288832i	−0.703039	−	0.711151i	$-0.748174\pi$
$701$	−18.4621	+	7.64724i	−0.697303	+	0.288832i	0.00573619	+	0.999984i	$0.498174\pi$
$702$	2.85021	+	1.05540i	0.107574	+	0.0398334i
$703$	24.6642	−	24.6642i	0.930228	−	0.930228i
$704$	−23.8999	−	33.4001i	−0.900760	−	1.25881i
$705$	−0.290137	+	11.2217i	−0.0109272	+	0.422633i
$706$	21.3198	−	9.79746i	0.802381	−	0.368732i
$707$	3.81527	+	1.58034i	0.143488	+	0.0594346i
$708$	0.895198	+	11.7358i	0.0336436	+	0.441058i
$709$	27.8422	+	11.5326i	1.04564	+	0.433117i	0.838332	−	0.545160i	$-0.183531\pi$
$709$	27.8422	+	11.5326i	1.04564	+	0.433117i	0.207304	+	0.978276i	$0.433531\pi$
$710$	−0.240154	−	19.6569i	−0.00901284	−	0.737709i
$711$	−11.3121	+	11.3121i	−0.424236	+	0.424236i
$712$	−2.14886	+	7.51529i	−0.0805321	+	0.281647i
$713$	−29.6077			−1.10882
$714$	−4.01571	+	0.152936i	−0.150284	+	0.00572348i
$715$	7.37585	+	19.1958i	0.275841	+	0.717881i
$716$	2.12061	−	6.47348i	0.0792508	−	0.241925i
$717$	27.7161	+	11.4804i	1.03508	+	0.428743i
$718$	−15.2205	+	6.99452i	−0.568023	+	0.261033i
$719$			7.68642i			0.286655i	0.989675	+	0.143328i	$0.0457803\pi$
$719$			7.68642i			0.286655i	−0.989675	+	0.143328i	$0.954220\pi$
$720$	−19.3207	+	11.0396i	−0.720040	+	0.411421i
$721$		−	1.91036i		−	0.0711457i
$722$	−6.90735	−	15.0308i	−0.257065	−	0.559387i
$723$	45.1254	+	18.6916i	1.67823	+	0.695147i
$724$	18.1173	+	35.7699i	0.673325	+	1.32938i
$725$	−10.3105	+	21.6533i	−0.382924	+	0.804185i
$726$	−1.93607	−	50.8363i	−0.0718543	−	1.88671i
$727$	10.8016			0.400609			0.200305	−	0.979734i	$-0.435807\pi$
$727$	10.8016			0.400609			0.200305	+	0.979734i	$0.435807\pi$
$728$	−1.13761	+	0.130481i	−0.0421627	+	0.00483593i
$729$	−12.1122	+	12.1122i	−0.448601	+	0.448601i
$730$	−27.5837	+	28.2660i	−1.02092	+	1.04617i
$731$	−19.7474	−	8.17964i	−0.730384	−	0.302535i
$732$	−14.5729	+	16.9797i	−0.538631	+	0.627589i
$733$	23.9972	+	9.93995i	0.886356	+	0.367141i	0.778958	−	0.627076i	$-0.215748\pi$
$733$	23.9972	+	9.93995i	0.886356	+	0.367141i	0.107397	+	0.994216i	$0.465748\pi$
$734$	0.655245	+	1.42585i	0.0241855	+	0.0526290i
$735$	−26.3955	+	25.0650i	−0.973614	+	0.924538i
$736$	3.62683	−	17.6765i	0.133687	−	0.651564i
$737$	45.6965	−	45.6965i	1.68325	−	1.68325i
$738$	1.69137	−	4.56772i	0.0622602	−	0.168140i
$739$	38.1825	−	15.8157i	1.40457	−	0.581791i	0.453634	−	0.891188i	$-0.350127\pi$
$739$	38.1825	−	15.8157i	1.40457	−	0.581791i	0.950933	+	0.309397i	$0.100127\pi$
$740$	18.8825	−	20.8838i	0.694136	−	0.767703i
$741$	8.89765	−	21.4808i	0.326863	−	0.789118i
$742$	−0.0529576	−	1.39053i	−0.00194414	−	0.0510481i
$743$	−34.2134			−1.25517			−0.627585	−	0.778548i	$-0.715956\pi$
$743$	−34.2134			−1.25517			−0.627585	+	0.778548i	$0.715956\pi$
$744$	61.0997	−	7.00794i	2.24002	−	0.256924i
$745$	0.155537	−	0.147696i	0.00569842	−	0.00541118i
$746$	6.24452	−	0.237818i	0.228628	−	0.00870715i
$747$	2.96484	+	7.15775i	0.108478	+	0.261889i
$748$	52.3712	+	17.1560i	1.91488	+	0.627284i
$749$	1.18981	−	0.492835i	0.0434746	−	0.0180078i
$750$	15.5143	−	33.6344i	0.566503	−	1.22816i
$751$	32.5152			1.18649			0.593247	−	0.805020i	$-0.297846\pi$
$751$	32.5152			1.18649			0.593247	+	0.805020i	$0.297846\pi$
$752$	6.91046	+	5.07176i	0.251998	+	0.184948i
$753$	35.3031	−	35.3031i	1.28651	−	1.28651i
$754$	−4.21957	+	11.3954i	−0.153668	+	0.414996i
$755$	−18.4419	−	47.9953i	−0.671170	−	1.74673i
$756$	−0.168809	+	0.515316i	−0.00613953	+	0.0187419i
$757$	19.1945	−	7.95060i	0.697634	−	0.288970i	−0.00554250	−	0.999985i	$-0.501764\pi$
$757$	19.1945	−	7.95060i	0.697634	−	0.288970i	0.703177	+	0.711015i	$0.251764\pi$
$758$	25.8665	+	23.9685i	0.939513	+	0.870576i
$759$	27.1269	−	27.1269i	0.984645	−	0.984645i
$760$	−16.2138	−	31.0643i	−0.588136	−	1.12682i
$761$	−29.8760	−	29.8760i	−1.08300	−	1.08300i	−0.996228	−	0.0867769i	$-0.972343\pi$
$761$	−29.8760	−	29.8760i	−1.08300	−	1.08300i	−0.0867769	−	0.996228i	$-0.527657\pi$
$762$	−0.595959	−	15.6484i	−0.0215893	−	0.566882i
$763$	0.444435	+	1.07296i	0.0160896	+	0.0388438i
$764$	−20.4460	+	23.8228i	−0.739710	+	0.861878i
$765$	12.1357	−	27.2814i	0.438766	−	0.986362i
$766$	−0.000520105	−	0.00113178i	−1.87922e−5	−	4.08928e-5i
$767$	−3.18208	−	3.18208i	−0.114898	−	0.114898i
$768$	−3.30055	+	37.3363i	−0.119099	+	1.34726i
$769$		−	6.05628i		−	0.218395i	−0.994020	−	0.109197i	$-0.965172\pi$
$769$		−	6.05628i		−	0.218395i	0.994020	−	0.109197i	$-0.0348281\pi$
$770$	−3.37224	+	1.44534i	−0.121527	+	0.0520865i
$771$	−11.2318	−	27.1160i	−0.404504	−	0.976559i
$772$	−4.04433	−	53.0200i	−0.145559	−	1.90823i
$773$	−1.97420	+	0.817739i	−0.0710069	+	0.0294120i	−0.417904	−	0.908491i	$-0.637235\pi$
$773$	−1.97420	+	0.817739i	−0.0710069	+	0.0294120i	0.346897	+	0.937903i	$0.387235\pi$
$774$	9.52327	−	10.2774i	0.342307	−	0.369412i
$775$	−34.4679	+	31.0763i	−1.23812	+	1.11629i
$776$	−8.71156	+	30.4672i	−0.312727	+	1.09371i
$777$			3.33302i			0.119571i
$778$	23.7607	−	25.6422i	0.851863	−	0.919317i
$779$	7.08631	+	2.93525i	0.253893	+	0.105166i
$780$	6.30141	−	17.6778i	0.225627	−	0.632969i
$781$	−12.2131	−	29.4849i	−0.437017	−	1.05505i
$782$	10.1106	+	22.0011i	0.361553	+	0.786759i
$783$	4.06904	+	4.06904i	0.145416	+	0.145416i
$784$	4.21595	+	27.4741i	0.150569	+	0.981218i
$785$	−21.8789	+	20.7760i	−0.780890	+	0.741528i
$786$	−3.28327	+	8.86680i	−0.117110	+	0.316268i
$787$	0.867489	−	2.09430i	0.0309226	−	0.0746539i	−0.907664	−	0.419698i	$-0.862136\pi$
$787$	0.867489	−	2.09430i	0.0309226	−	0.0746539i	0.938586	+	0.345044i	$0.112136\pi$
$788$	−7.09029	+	21.6442i	−0.252581	+	0.771042i
$789$	16.1386	−	38.9620i	0.574549	−	1.38708i
$790$	−14.5531	−	14.2018i	−0.517775	−	0.505276i
$791$	1.40642	+	1.40642i	0.0500066	+	0.0500066i
$792$	−22.4673	+	28.2889i	−0.798340	+	1.00520i
$793$		−	8.55529i		−	0.303807i
$794$	−3.06559	+	3.30833i	−0.108794	+	0.117408i
$795$	20.8383	+	9.26954i	0.739058	+	0.328757i
$796$	1.95514	+	25.6313i	0.0692981	+	0.908478i
$797$	11.5730	−	27.9397i	0.409936	−	0.989673i	−0.575218	−	0.818000i	$-0.695083\pi$
$797$	11.5730	−	27.9397i	0.409936	−	0.989673i	0.985154	−	0.171673i	$-0.0549173\pi$
$798$	3.89013	+	1.44047i	0.137709	+	0.0509920i
$799$	−11.5021			−0.406914
$800$	−14.3311	−	24.3848i	−0.506681	−	0.862134i
$801$	6.87534			0.242928
$802$	−17.0684	−	6.32020i	−0.602704	−	0.223174i
$803$	−24.5367	+	59.2368i	−0.865880	+	2.09042i
$804$	−58.8074	+	4.48579i	−2.07398	+	0.158202i
$805$	−1.47284	−	0.655167i	−0.0519108	−	0.0230916i
$806$	−15.9823	+	17.2478i	−0.562951	+	0.607528i
$807$		−	44.7227i		−	1.57431i
$808$	5.88935	+	51.3470i	0.207187	+	1.80638i
$809$	1.58379	+	1.58379i	0.0556832	+	0.0556832i	0.734400	−	0.678717i	$-0.237464\pi$
$809$	1.58379	+	1.58379i	0.0556832	+	0.0556832i	−0.678717	+	0.734400i	$0.737464\pi$
$810$	−23.2525	−	22.6912i	−0.817011	−	0.797288i
$811$	1.67083	−	4.03374i	0.0586707	−	0.141644i	−0.891826	−	0.452379i	$-0.850575\pi$
$811$	1.67083	−	4.03374i	0.0586707	−	0.141644i	0.950496	+	0.310736i	$0.100575\pi$
$812$	−2.06028	−	0.674914i	−0.0723016	−	0.0236848i
$813$	−15.7029	+	37.9102i	−0.550725	+	1.32957i
$814$	15.8718	−	42.8633i	0.556305	−	1.50236i
$815$	1.75068	−	1.66244i	0.0613237	−	0.0582326i
$816$	−26.0720	−	43.0093i	−0.912704	−	1.50563i
$817$	15.6015	+	15.6015i	0.545829	+	0.545829i
$818$	13.5473	+	29.4796i	0.473669	+	1.03073i
$819$	0.385439	+	0.930532i	0.0134683	+	0.0325154i
$820$	5.83174	+	2.07877i	0.203653	+	0.0725938i
$821$	−20.9411	−	8.67410i	−0.730850	−	0.302728i	−0.0139490	−	0.999903i	$-0.504440\pi$
$821$	−20.9411	−	8.67410i	−0.730850	−	0.302728i	−0.716901	+	0.697175i	$0.754440\pi$
$822$	−31.5565	+	34.0553i	−1.10066	+	1.18781i
$823$		−	25.3669i		−	0.884236i	−0.896957	−	0.442118i	$-0.854227\pi$
$823$		−	25.3669i		−	0.884236i	0.896957	−	0.442118i	$-0.145773\pi$
$824$	20.9025	−	11.6070i	0.728173	−	0.404349i
$825$	3.10738	−	60.0523i	0.108185	−	2.09075i
$826$	0.545711	−	0.588923i	0.0189877	−	0.0204913i
$827$	23.1121	−	9.57333i	0.803685	−	0.332897i	0.0572535	−	0.998360i	$-0.481766\pi$
$827$	23.1121	−	9.57333i	0.803685	−	0.332897i	0.746431	+	0.665463i	$0.231766\pi$
$828$	−15.8261	+	1.20721i	−0.549995	+	0.0419533i
$829$	0.844796	+	2.03952i	0.0293410	+	0.0708354i	0.937871	−	0.346984i	$-0.112794\pi$
$829$	0.844796	+	2.03952i	0.0293410	+	0.0708354i	−0.908530	+	0.417820i	$0.862794\pi$
$830$	−9.05133	+	3.87940i	−0.314176	+	0.134656i
$831$		−	34.9444i		−	1.21221i
$832$	−8.33957	−	11.6546i	−0.289123	−	0.404049i
$833$	−26.3732	−	26.3732i	−0.913776	−	0.913776i
$834$	−20.7646	−	45.1848i	−0.719018	−	1.56462i
$835$	8.88316	−	19.9697i	0.307415	−	0.691079i
$836$	−43.1683	−	37.0494i	−1.49301	−	1.28138i
$837$	4.26135	+	10.2878i	0.147294	+	0.355598i
$838$	−0.484489	−	12.7215i	−0.0167364	−	0.439456i
$839$	39.1509	+	39.1509i	1.35164	+	1.35164i	0.883829	+	0.467810i	$0.154957\pi$
$839$	39.1509	+	39.1509i	1.35164	+	1.35164i	0.467810	+	0.883829i	$0.345043\pi$
$840$	3.19448	+	1.00342i	0.110220	+	0.0346212i
$841$	4.23772	−	4.23772i	0.146128	−	0.146128i
$842$	30.7517	+	28.4953i	1.05977	+	0.982013i
$843$	−5.75455	+	2.38361i	−0.198197	+	0.0820960i
$844$	8.37910	+	2.74486i	0.288420	+	0.0944819i
$845$	−7.85261	−	20.4366i	−0.270138	−	0.703039i
$846$	2.61817	−	7.07063i	0.0900145	−	0.243093i
$847$	−2.45391	+	2.45391i	−0.0843172	+	0.0843172i
$848$	14.8930	−	9.02806i	0.511426	−	0.310025i
$849$	−21.1729			−0.726652
$850$	34.8626	+	15.0006i	1.19578	+	0.514515i
$851$	18.5535	−	7.68511i	0.636005	−	0.263442i
$852$	−9.06706	+	27.6786i	−0.310632	+	0.948253i
$853$	3.67444	+	8.87087i	0.125810	+	0.303733i	0.974217	−	0.225611i	$-0.0724380\pi$
$853$	3.67444	+	8.87087i	0.125810	+	0.303733i	−0.848407	+	0.529344i	$0.822438\pi$
$854$	1.52528	−	0.0580894i	0.0521941	−	0.00198778i
$855$	−22.3505	+	21.2239i	−0.764370	+	0.725841i
$856$	12.6215	+	10.0241i	0.431392	+	0.342616i
$857$	−49.5126			−1.69132			−0.845659	−	0.533724i	$-0.820792\pi$
$857$	−49.5126			−1.69132			−0.845659	+	0.533724i	$0.820792\pi$
$858$	−1.15951	−	30.4457i	−0.0395849	−	1.03940i
$859$	−11.6023	+	28.0104i	−0.395865	+	0.955703i	0.592771	+	0.805371i	$0.298034\pi$
$859$	−11.6023	+	28.0104i	−0.395865	+	0.955703i	−0.988636	+	0.150331i	$0.951966\pi$
$860$	13.2102	+	11.9443i	0.450464	+	0.407297i
$861$	−0.677136	+	0.280479i	−0.0230767	+	0.00955870i
$862$	−4.90951	+	13.2586i	−0.167219	+	0.451591i
$863$	−33.4676	+	33.4676i	−1.13925	+	1.13925i	−0.150666	+	0.988585i	$0.548142\pi$
$863$	−33.4676	+	33.4676i	−1.13925	+	1.13925i	−0.988585	+	0.150666i	$0.951858\pi$
$864$	−6.66405	+	1.28391i	−0.226716	+	0.0436795i
$865$	−16.1579	+	15.3434i	−0.549384	+	0.521691i
$866$	1.79717	+	3.91074i	0.0610703	+	0.132892i
$867$	25.5569	+	10.5860i	0.867957	+	0.359520i
$868$	−3.18354	−	2.73229i	−0.108057	−	0.0927399i
$869$	−30.4987	−	12.6330i	−1.03460	−	0.428544i
$870$	24.8168	−	25.4307i	0.841368	−	0.862181i
$871$	15.9452	−	15.9452i	0.540284	−	0.540284i
$872$	−9.03965	+	11.3819i	−0.306121	+	0.385441i
$873$	27.8728			0.943352
$874$	−0.951195	−	24.9760i	−0.0321747	−	0.844826i
$875$	−2.40227	+	0.783181i	−0.0812116	+	0.0264764i
$876$	52.2014	−	26.4398i	1.76372	−	0.893319i
$877$	0.897042	+	0.371567i	0.0302909	+	0.0125469i	0.397777	−	0.917482i	$-0.369782\pi$
$877$	0.897042	+	0.371567i	0.0302909	+	0.0125469i	−0.367487	+	0.930029i	$0.619782\pi$
$878$	5.06607	+	11.0240i	0.170971	+	0.372043i
$879$			76.7023i			2.58711i
$880$	−36.3035	−	28.1162i	−1.22379	−	0.947797i
$881$		−	52.7456i		−	1.77704i	−0.458833	−	0.888522i	$-0.651732\pi$
$881$		−	52.7456i		−	1.77704i	0.458833	−	0.888522i	$-0.348268\pi$
$882$	22.2155	−	10.2091i	0.748035	−	0.343758i
$883$	−33.1771	−	13.7424i	−1.11650	−	0.462469i	−0.253328	−	0.967381i	$-0.581525\pi$
$883$	−33.1771	−	13.7424i	−1.11650	−	0.462469i	−0.863171	+	0.504912i	$0.831525\pi$
$884$	18.2743	+	5.98637i	0.614631	+	0.201343i
$885$	4.71987	+	12.2835i	0.158657	+	0.412907i
$886$	−6.88453	+	0.262193i	−0.231290	+	0.00880855i
$887$	−17.6523			−0.592705			−0.296352	−	0.955079i	$-0.595770\pi$
$887$	−17.6523			−0.592705			−0.296352	+	0.955079i	$0.595770\pi$
$888$	−36.4687	+	20.2508i	−1.22381	+	0.679571i
$889$	−0.755359	+	0.755359i	−0.0253339	+	0.0253339i
$890$	0.106760	+	8.73843i	0.00357861	+	0.292913i
$891$	−48.7301	−	20.1847i	−1.63252	−	0.676212i
$892$	26.4262	−	2.01577i	0.884815	−	0.0674931i
$893$	10.9693	+	4.54363i	0.367074	+	0.152047i
$894$	−0.288758	+	0.132698i	−0.00965751	+	0.00443808i
$895$	0.196846	−	7.61346i	0.00657984	−	0.254490i
$896$	2.02121	−	1.56595i	0.0675239	−	0.0523149i
$897$	9.46561	−	9.46561i	0.316048	−	0.316048i
$898$	−5.73731	−	2.12445i	−0.191456	−	0.0708940i
$899$	−41.1315	+	17.0372i	−1.37181	+	0.568223i
$900$	−17.1569	+	18.0165i	−0.571897	+	0.600549i
$901$	−8.94293	+	21.5901i	−0.297932	+	0.719272i
$902$	10.0437	−	0.382510i	0.334420	−	0.0127362i
$903$	−2.10833			−0.0701608
$904$	−6.84341	+	23.9337i	−0.227608	+	0.796022i
$905$	30.8691	+	32.5077i	1.02612	+	1.08059i
$906$	2.89912	+	76.1237i	0.0963169	+	2.52904i
$907$	−12.4088	−	29.9575i	−0.412028	−	0.994723i	−0.984593	−	0.174864i	$-0.944052\pi$
$907$	−12.4088	−	29.9575i	−0.412028	−	0.994723i	0.572565	−	0.819859i	$-0.305948\pi$
$908$	6.10855	+	12.0604i	0.202719	+	0.400239i
$909$	42.0003	−	17.3971i	1.39306	−	0.577025i
$910$	−1.17670	+	0.504335i	−0.0390073	+	0.0167185i
$911$	−36.7785			−1.21853			−0.609263	−	0.792968i	$-0.708535\pi$
$911$	−36.7785			−1.21853			−0.609263	+	0.792968i	$0.708535\pi$
$912$	7.87457	+	51.3163i	0.260753	+	1.69925i
$913$	−11.3046	+	11.3046i	−0.374128	+	0.374128i
$914$	−12.4488	−	4.60963i	−0.411769	−	0.152473i
$915$	−10.1678	+	22.8576i	−0.336137	+	0.755648i
$916$	11.2617	+	22.2345i	0.372096	+	0.734647i
$917$	0.595893	−	0.246827i	0.0196781	−	0.00815094i
$918$	6.18955	−	6.67967i	0.204286	−	0.220462i
$919$	13.1286	−	13.1286i	0.433073	−	0.433073i	−0.456600	−	0.889672i	$-0.650933\pi$
$919$	13.1286	−	13.1286i	0.433073	−	0.433073i	0.889672	+	0.456600i	$0.150933\pi$
$920$	−1.78008	−	20.0959i	−0.0586876	−	0.662543i
$921$	37.1207	+	37.1207i	1.22317	+	1.22317i
$922$	−13.7397	+	0.523269i	−0.452494	+	0.0172330i
$923$	−4.26160	−	10.2884i	−0.140272	−	0.338647i
$924$	5.42015	−	0.413446i	0.178310	−	0.0136014i
$925$	13.5328	−	28.4204i	0.444954	−	0.934456i
$926$	−36.5516	+	16.7972i	−1.20116	+	0.551991i
$927$	−14.8706	−	14.8706i	−0.488415	−	0.488415i
$928$	−5.13318	−	26.6434i	−0.168505	−	0.874614i
$929$		−	24.7549i		−	0.812182i	−0.913833	−	0.406091i	$-0.866892\pi$
$929$		−	24.7549i		−	0.812182i	0.913833	−	0.406091i	$-0.133108\pi$
$930$	63.1992	−	27.0872i	2.07238	−	0.888223i
$931$	14.7335	+	35.5697i	0.482870	+	1.16575i
$932$	13.7328	+	11.7862i	0.449833	+	0.386071i
$933$	−3.16370	+	1.31045i	−0.103575	+	0.0429021i
$934$	−14.1975	−	13.1558i	−0.464557	−	0.430470i
$935$	61.5938	+	1.59251i	2.01433	+	0.0520806i
$936$	−7.83969	+	9.87106i	−0.256248	+	0.322646i
$937$		−	27.6603i		−	0.903621i	−0.892114	−	0.451811i	$-0.850778\pi$
$937$		−	27.6603i		−	0.903621i	0.892114	−	0.451811i	$-0.149222\pi$
$938$	2.95106	+	2.73453i	0.0963556	+	0.0892856i
$939$	30.6157	+	12.6814i	0.999106	+	0.413843i
$940$	9.02729	+	3.21785i	0.294438	+	0.104955i
$941$	9.43016	+	22.7664i	0.307414	+	0.742164i	0.999787	+	0.0206243i	$0.00656537\pi$
$941$	9.43016	+	22.7664i	0.307414	+	0.742164i	−0.692373	+	0.721540i	$0.743435\pi$
$942$	40.6187	−	18.6662i	1.32343	−	0.608178i
$943$	3.12261	+	3.12261i	0.101686	+	0.101686i
$944$	9.75942	+	2.39279i	0.317642	+	0.0778788i
$945$	−0.0156698	+	0.606064i	−0.000509738	+	0.0197153i
$946$	27.1135	+	10.0398i	0.881537	+	0.326423i
$947$	−19.1119	+	46.1402i	−0.621053	+	1.49936i	0.229415	+	0.973329i	$0.426319\pi$
$947$	−19.1119	+	46.1402i	−0.621053	+	1.49936i	−0.850468	+	0.526026i	$0.823681\pi$
$948$	13.6128	+	26.8765i	0.442124	+	0.872908i
$949$	−8.56178	+	20.6700i	−0.277927	+	0.670975i
$950$	−27.3222	−	28.0775i	−0.886449	−	0.910953i
$951$	27.5258	+	27.5258i	0.892586	+	0.892586i
$952$	−0.943200	+	3.29868i	−0.0305693	+	0.106911i
$953$			23.1471i			0.749807i	0.927064	+	0.374903i	$0.122324\pi$
$953$			23.1471i			0.749807i	−0.927064	+	0.374903i	$0.877676\pi$
$954$	−11.2364	−	10.4119i	−0.363792	−	0.337099i
$955$	−14.2655	+	32.0694i	−0.461622	+	1.03774i
$956$	16.6806	−	19.4355i	0.539488	−	0.628588i
$957$	22.0754	−	53.2948i	0.713598	−	1.72278i
$958$	7.42272	−	20.0458i	0.239817	−	0.647651i
$959$	3.16713			0.102272
$960$	8.43002	+	41.0494i	0.272078	+	1.32486i
$961$	−55.1508			−1.77906
$962$	5.53826	−	14.9566i	0.178561	−	0.482222i
$963$	5.42536	−	13.0980i	0.174830	−	0.422077i
$964$	27.1581	−	31.6435i	0.874705	−	1.01917i
$965$	−21.3235	−	55.4946i	−0.686426	−	1.78644i
$966$	1.75185	+	1.62331i	0.0563648	+	0.0522291i
$967$			7.13428i			0.229423i	0.993399	+	0.114712i	$0.0365944\pi$
$967$			7.13428i			0.229423i	−0.993399	+	0.114712i	$0.963406\pi$
$968$	−41.7592	−	11.9403i	−1.34219	−	0.383776i
$969$	−49.2599	−	49.2599i	−1.58246	−	1.58246i
$970$	0.432809	+	35.4258i	0.0138967	+	1.13745i
$971$	2.85283	−	6.88734i	0.0915516	−	0.221025i	−0.871470	−	0.490448i	$-0.836833\pi$
$971$	2.85283	−	6.88734i	0.0915516	−	0.221025i	0.963022	+	0.269423i	$0.0868330\pi$
$972$	18.4978	+	36.5210i	0.593316	+	1.17141i
$973$	−1.29814	+	3.13398i	−0.0416164	+	0.100471i
$974$	23.7544	+	8.79598i	0.761141	+	0.281841i
$975$	1.08428	−	20.9545i	0.0347248	−	0.671082i
$976$	9.90290	+	16.3361i	0.316984	+	0.522907i
$977$	7.41674	+	7.41674i	0.237282	+	0.237282i	0.815724	−	0.578441i	$-0.196339\pi$
$977$	7.41674	+	7.41674i	0.237282	+	0.237282i	−0.578441	+	0.815724i	$0.696339\pi$
$978$	−3.25019	+	1.49362i	−0.103930	+	0.0477606i
$979$	5.42929	+	13.1075i	0.173521	+	0.418917i
$980$	13.3205	+	28.0770i	0.425508	+	0.896886i
$981$	11.8117	+	4.89256i	0.377118	+	0.156207i
$982$	25.6192	+	23.7394i	0.817543	+	0.757556i
$983$		−	49.7356i		−	1.58632i	−0.609014	−	0.793160i	$-0.708435\pi$
$983$		−	49.7356i		−	1.58632i	0.609014	−	0.793160i	$-0.291565\pi$
$984$	−7.18304	−	5.70484i	−0.228987	−	0.181864i
$985$	−0.658159	+	25.4558i	−0.0209707	+	0.811088i
$986$	26.7059	+	24.7464i	0.850489	+	0.788085i
$987$	−1.04818	+	0.434169i	−0.0333639	+	0.0138198i
$988$	−15.0631	−	12.9279i	−0.479220	−	0.411293i
$989$	4.86128	+	11.7362i	0.154580	+	0.373188i
$990$	−14.9993	+	37.5009i	−0.476710	+	1.19186i
$991$		−	25.5117i		−	0.810406i	−0.914227	−	0.405203i	$-0.867201\pi$
$991$		−	25.5117i		−	0.810406i	0.914227	−	0.405203i	$-0.132799\pi$
$992$	10.5531	−	51.4340i	0.335062	−	1.63303i
$993$	16.0645	+	16.0645i	0.509793	+	0.509793i
$994$	1.80533	−	0.829637i	0.0572617	−	0.0263145i
$995$	10.3083	+	26.8276i	0.326796	+	0.850493i
$996$	14.5481	−	1.10972i	0.460973	−	0.0351627i
$997$	21.0436	+	50.8036i	0.666456	+	1.60897i	0.787496	+	0.616320i	$0.211377\pi$
$997$	21.0436	+	50.8036i	0.666456	+	1.60897i	−0.121040	+	0.992648i	$0.538623\pi$
$998$	20.4057	−	0.777139i	0.645932	−	0.0245999i
$999$	−5.34069	−	5.34069i	−0.168972	−	0.168972i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.u.a.43.9	✓	88
4.3	odd	2		640.2.u.a.463.4		88
5.2	odd	4		160.2.ba.a.107.3	yes	88
5.3	odd	4		800.2.bb.b.107.20		88
5.4	even	2		800.2.v.b.43.14		88
20.7	even	4		640.2.ba.a.207.19		88
32.3	odd	8		160.2.ba.a.3.3	yes	88
32.29	even	8		640.2.ba.a.303.19		88
160.3	even	8		800.2.v.b.707.14		88
160.67	even	8	inner	160.2.u.a.67.9	yes	88
160.99	odd	8		800.2.bb.b.643.20		88
160.157	odd	8		640.2.u.a.47.4		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.9	✓	88	1.1	even	1	trivial
160.2.u.a.67.9	yes	88	160.67	even	8	inner
160.2.ba.a.3.3	yes	88	32.3	odd	8
160.2.ba.a.107.3	yes	88	5.2	odd	4
640.2.u.a.47.4		88	160.157	odd	8
640.2.u.a.463.4		88	4.3	odd	2
640.2.ba.a.207.19		88	20.7	even	4
640.2.ba.a.303.19		88	32.29	even	8
800.2.v.b.43.14		88	5.4	even	2
800.2.v.b.707.14		88	160.3	even	8
800.2.bb.b.107.20		88	5.3	odd	4
800.2.bb.b.643.20		88	160.99	odd	8

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.u (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.491080 + 1.32621i) q^{2} +(0.896482 - 2.16430i) q^{3} +(-1.51768 - 1.30255i) q^{4} +(-2.04305 - 0.908815i) q^{5} +(2.43008 + 2.25177i) q^{6} -0.225996i q^{7} +(2.47277 - 1.37311i) q^{8} +(-1.75919 - 1.75919i) q^{9} +O(q^{10})\)	\(q+(-0.491080 + 1.32621i) q^{2} +(0.896482 - 2.16430i) q^{3} +(-1.51768 - 1.30255i) q^{4} +(-2.04305 - 0.908815i) q^{5} +(2.43008 + 2.25177i) q^{6} -0.225996i q^{7} +(2.47277 - 1.37311i) q^{8} +(-1.75919 - 1.75919i) q^{9} +(2.20858 - 2.26322i) q^{10} +(1.96462 - 4.74300i) q^{11} +(-4.17969 + 2.11700i) q^{12} +(0.685529 - 1.65501i) q^{13} +(0.299719 + 0.110982i) q^{14} +(-3.79851 + 3.60704i) q^{15} +(0.606705 + 3.95372i) q^{16} +(-3.79529 - 3.79529i) q^{17} +(3.19697 - 1.46916i) q^{18} +(2.12025 + 5.11874i) q^{19} +(1.91692 + 4.04047i) q^{20} +(-0.489123 - 0.202602i) q^{21} +(5.32544 + 4.93469i) q^{22} +3.18989i q^{23} +(-0.755024 - 6.58278i) q^{24} +(3.34811 + 3.71351i) q^{25} +(1.85825 + 1.72190i) q^{26} +(1.10839 - 0.459110i) q^{27} +(-0.294372 + 0.342990i) q^{28} +(1.83556 + 4.43144i) q^{29} +(-2.91833 - 6.80897i) q^{30} +9.28175i q^{31} +(-5.54142 - 1.13698i) q^{32} +(-8.50404 - 8.50404i) q^{33} +(6.89715 - 3.16956i) q^{34} +(-0.205389 + 0.461722i) q^{35} +(0.378448 + 4.96134i) q^{36} +(-2.40921 - 5.81634i) q^{37} +(-7.82974 + 0.298191i) q^{38} +(-2.96738 - 2.96738i) q^{39} +(-6.29989 + 0.558039i) q^{40} +(0.978909 - 0.978909i) q^{41} +(0.508892 - 0.549188i) q^{42} +(3.67918 - 1.52396i) q^{43} +(-9.15967 + 4.63934i) q^{44} +(1.99534 + 5.19290i) q^{45} +(-4.23047 - 1.56649i) q^{46} +(1.51531 - 1.51531i) q^{47} +(9.10094 + 2.23135i) q^{48} +6.94893 q^{49} +(-6.56910 + 2.61667i) q^{50} +(-11.6165 + 4.81173i) q^{51} +(-3.19616 + 1.61884i) q^{52} +(-1.66617 - 4.02250i) q^{53} +(0.0645691 + 1.69542i) q^{54} +(-8.32432 + 7.90472i) q^{55} +(-0.310317 - 0.558836i) q^{56} +12.9792 q^{57} +(-6.77844 + 0.258153i) q^{58} +(0.961345 - 2.32089i) q^{59} +(10.4633 - 0.526566i) q^{60} +(4.41229 - 1.82763i) q^{61} +(-12.3096 - 4.55808i) q^{62} +(-0.397571 + 0.397571i) q^{63} +(4.22915 - 6.79075i) q^{64} +(-2.90467 + 2.75826i) q^{65} +(15.4543 - 7.10199i) q^{66} +(11.6299 + 4.81725i) q^{67} +(0.816463 + 10.7036i) q^{68} +(6.90387 + 2.85968i) q^{69} +(-0.511479 - 0.499132i) q^{70} +(4.39574 - 4.39574i) q^{71} +(-6.76564 - 1.93451i) q^{72} -12.4893 q^{73} +(8.89682 - 0.338830i) q^{74} +(11.0387 - 3.91722i) q^{75} +(3.44957 - 10.5303i) q^{76} +(-1.07190 - 0.443996i) q^{77} +(5.39260 - 2.47816i) q^{78} -6.43026i q^{79} +(2.35367 - 8.62903i) q^{80} -10.2741i q^{81} +(0.817519 + 1.77896i) q^{82} +(-2.87705 - 1.19172i) q^{83} +(0.478433 + 0.944594i) q^{84} +(4.30475 + 11.2032i) q^{85} +(0.214330 + 5.62776i) q^{86} +11.2365 q^{87} +(-1.65461 - 14.4260i) q^{88} +(-1.95412 + 1.95412i) q^{89} +(-7.86677 + 0.0961109i) q^{90} +(-0.374027 - 0.154927i) q^{91} +(4.15500 - 4.84123i) q^{92} +(20.0885 + 8.32092i) q^{93} +(1.26548 + 2.75376i) q^{94} +(0.320208 - 12.3847i) q^{95} +(-7.42854 + 10.9740i) q^{96} +(-7.92205 + 7.92205i) q^{97} +(-3.41248 + 9.21575i) q^{98} +(-11.8000 + 4.88772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8}+O(q^{10}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8} - 16 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} + 16 q^{14} - 8 q^{15} - 8 q^{16} + 4 q^{18} + 16 q^{19} + 24 q^{20} - 8 q^{21} - 20 q^{22} - 32 q^{24} - 4 q^{25} - 8 q^{26} - 16 q^{27} + 12 q^{28} + 8 q^{30} - 24 q^{32} - 8 q^{33} + 8 q^{34} - 8 q^{35} - 8 q^{36} - 4 q^{37} - 60 q^{38} + 16 q^{40} - 8 q^{41} + 60 q^{42} - 36 q^{43} + 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 24 q^{48} - 40 q^{49} - 12 q^{50} + 8 q^{51} - 56 q^{52} - 4 q^{53} - 56 q^{54} - 36 q^{55} + 40 q^{56} - 8 q^{57} - 36 q^{58} + 12 q^{60} - 40 q^{61} + 40 q^{62} + 56 q^{63} + 48 q^{64} - 8 q^{65} + 72 q^{66} + 20 q^{67} + 8 q^{68} + 24 q^{69} + 60 q^{70} + 24 q^{71} + 24 q^{72} - 8 q^{73} + 8 q^{75} + 56 q^{76} + 24 q^{77} + 32 q^{78} - 8 q^{80} + 84 q^{82} - 44 q^{83} + 56 q^{84} - 4 q^{85} + 24 q^{86} - 120 q^{87} + 104 q^{88} + 148 q^{90} - 8 q^{91} + 124 q^{92} + 8 q^{93} - 32 q^{94} + 24 q^{96} - 8 q^{97} - 16 q^{98}+O(q^{100}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 + 16 * q^14 - 8 * q^15 - 8 * q^16 + 4 * q^18 + 16 * q^19 + 24 * q^20 - 8 * q^21 - 20 * q^22 - 32 * q^24 - 4 * q^25 - 8 * q^26 - 16 * q^27 + 12 * q^28 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 8 * q^34 - 8 * q^35 - 8 * q^36 - 4 * q^37 - 60 * q^38 + 16 * q^40 - 8 * q^41 + 60 * q^42 - 36 * q^43 + 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 24 * q^48 - 40 * q^49 - 12 * q^50 + 8 * q^51 - 56 * q^52 - 4 * q^53 - 56 * q^54 - 36 * q^55 + 40 * q^56 - 8 * q^57 - 36 * q^58 + 12 * q^60 - 40 * q^61 + 40 * q^62 + 56 * q^63 + 48 * q^64 - 8 * q^65 + 72 * q^66 + 20 * q^67 + 8 * q^68 + 24 * q^69 + 60 * q^70 + 24 * q^71 + 24 * q^72 - 8 * q^73 + 8 * q^75 + 56 * q^76 + 24 * q^77 + 32 * q^78 - 8 * q^80 + 84 * q^82 - 44 * q^83 + 56 * q^84 - 4 * q^85 + 24 * q^86 - 120 * q^87 + 104 * q^88 + 148 * q^90 - 8 * q^91 + 124 * q^92 + 8 * q^93 - 32 * q^94 + 24 * q^96 - 8 * q^97 - 16 * q^98

Introduction

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