LMFDB - Embedded newform 170.2.r.b.143.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			143.4
Character	$\chi$	$=$	170.143
Dual form			170.2.r.b.107.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.382683 - 0.923880i) q^{2} +(1.51925 - 0.302197i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(1.28645 - 1.82895i) q^{5} +(-0.860584 - 1.28795i) q^{6} +(0.134383 + 0.201119i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-0.554854 + 0.229828i) q^{9} +O(q^{10})$	\(q+(-0.382683 - 0.923880i) q^{2} +(1.51925 - 0.302197i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(1.28645 - 1.82895i) q^{5} +(-0.860584 - 1.28795i) q^{6} +(0.134383 + 0.201119i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-0.554854 + 0.229828i) q^{9} +(-2.18203 - 0.488612i) q^{10} +(1.18040 - 0.788717i) q^{11} +(-0.860584 + 1.28795i) q^{12} -0.250606 q^{13} +(0.134383 - 0.201119i) q^{14} +(1.40172 - 3.16738i) q^{15} -1.00000i q^{16} +(3.42934 + 2.28902i) q^{17} +(0.424667 + 0.424667i) q^{18} +(-5.56274 - 2.30416i) q^{19} +(0.383608 + 2.20292i) q^{20} +(0.264939 + 0.264939i) q^{21} +(-1.18040 - 0.788717i) q^{22} +(-0.605259 + 3.04284i) q^{23} +(1.51925 + 0.302197i) q^{24} +(-1.69011 - 4.70569i) q^{25} +(0.0959029 + 0.231530i) q^{26} +(-4.63737 + 3.09859i) q^{27} +(-0.237236 - 0.0471892i) q^{28} +(0.237131 + 1.19214i) q^{29} +(-3.46270 - 0.0829196i) q^{30} +(4.24419 + 2.83588i) q^{31} +(-0.923880 + 0.382683i) q^{32} +(1.55497 - 1.55497i) q^{33} +(0.802430 - 4.04427i) q^{34} +(0.540714 + 0.0129482i) q^{35} +(0.229828 - 0.554854i) q^{36} +(1.26779 + 6.37360i) q^{37} +6.02107i q^{38} +(-0.380733 + 0.0757325i) q^{39} +(1.88843 - 1.19743i) q^{40} +(0.171169 - 0.860522i) q^{41} +(0.143384 - 0.346160i) q^{42} +(-3.38747 + 8.17809i) q^{43} +(-0.276961 + 1.39237i) q^{44} +(-0.293446 + 1.31046i) q^{45} +(3.04284 - 0.605259i) q^{46} +10.2201i q^{47} +(-0.302197 - 1.51925i) q^{48} +(2.65639 - 6.41310i) q^{49} +(-3.70071 + 3.36225i) q^{50} +(5.90175 + 2.44125i) q^{51} +(0.177206 - 0.177206i) q^{52} +(1.82801 - 0.757188i) q^{53} +(4.63737 + 3.09859i) q^{54} +(0.0759951 - 3.17353i) q^{55} +(0.0471892 + 0.237236i) q^{56} +(-9.14748 - 1.81955i) q^{57} +(1.01065 - 0.675292i) q^{58} +(0.520057 + 1.25553i) q^{59} +(1.24851 + 3.23085i) q^{60} +(-8.99481 - 1.78918i) q^{61} +(0.995828 - 5.00636i) q^{62} +(-0.120786 - 0.0807066i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-0.322392 + 0.458347i) q^{65} +(-2.03166 - 0.841542i) q^{66} +(-7.69457 - 7.69457i) q^{67} +(-4.04349 + 0.806326i) q^{68} +4.80573i q^{69} +(-0.194960 - 0.504509i) q^{70} +(-0.548870 + 0.821442i) q^{71} -0.600569 q^{72} +(8.70593 - 13.0293i) q^{73} +(5.40328 - 3.61035i) q^{74} +(-3.98974 - 6.63835i) q^{75} +(5.56274 - 2.30416i) q^{76} +(0.317252 + 0.131410i) q^{77} +(0.215668 + 0.322770i) q^{78} +(-5.86124 - 8.77197i) q^{79} +(-1.82895 - 1.28645i) q^{80} +(-4.83492 + 4.83492i) q^{81} +(-0.860522 + 0.171169i) q^{82} +(-0.0730601 - 0.176383i) q^{83} -0.374680 q^{84} +(8.59817 - 3.32739i) q^{85} +8.85190 q^{86} +(0.720521 + 1.73949i) q^{87} +(1.39237 - 0.276961i) q^{88} +(5.17953 - 5.17953i) q^{89} +(1.32300 - 0.230383i) q^{90} +(-0.0336774 - 0.0504017i) q^{91} +(-1.72363 - 2.57960i) q^{92} +(7.30496 + 3.02581i) q^{93} +(9.44214 - 3.91106i) q^{94} +(-11.3704 + 7.20979i) q^{95} +(-1.28795 + 0.860584i) q^{96} +(5.27043 - 7.88775i) q^{97} -6.94149 q^{98} +(-0.473679 + 0.708911i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{11}{16}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.382683	−	0.923880i	−0.270598	−	0.653281i
$2$	−0.382683	−	0.923880i	−0.270598	−	0.653281i
$3$	1.51925	−	0.302197i	0.877137	−	0.174473i	0.264069	−	0.964504i	$-0.414935\pi$
$3$	1.51925	−	0.302197i	0.877137	−	0.174473i	0.613068	+	0.790030i	$0.289935\pi$
$4$	−0.707107	+	0.707107i	−0.353553	+	0.353553i
$5$	1.28645	−	1.82895i	0.575316	−	0.817931i
$5$	1.28645	−	1.82895i	0.575316	−	0.817931i
$6$	−0.860584	−	1.28795i	−0.351332	−	0.525805i
$7$	0.134383	+	0.201119i	0.0507922	+	0.0760159i	0.855997	−	0.516982i	$-0.172944\pi$
$7$	0.134383	+	0.201119i	0.0507922	+	0.0760159i	−0.805204	+	0.592997i	$0.797944\pi$
$8$	0.923880	+	0.382683i	0.326641	+	0.135299i
$9$	−0.554854	+	0.229828i	−0.184951	+	0.0766093i
$10$	−2.18203	−	0.488612i	−0.690019	−	0.154513i
$11$	1.18040	−	0.788717i	0.355904	−	0.237807i	−0.364745	−	0.931107i	$-0.618844\pi$
$11$	1.18040	−	0.788717i	0.355904	−	0.237807i	0.720649	+	0.693300i	$0.243844\pi$
$12$	−0.860584	+	1.28795i	−0.248429	+	0.371800i
$13$	−0.250606			−0.0695057			−0.0347529	−	0.999396i	$-0.511064\pi$
$13$	−0.250606			−0.0695057			−0.0347529	+	0.999396i	$0.511064\pi$
$14$	0.134383	−	0.201119i	0.0359155	−	0.0537513i
$15$	1.40172	−	3.16738i	0.361924	−	0.817815i
$16$		−	1.00000i		−	0.250000i
$17$	3.42934	+	2.28902i	0.831737	+	0.555170i
$17$	3.42934	+	2.28902i	0.831737	+	0.555170i
$18$	0.424667	+	0.424667i	0.100095	+	0.100095i
$19$	−5.56274	−	2.30416i	−1.27618	−	0.528611i	−0.361342	−	0.932433i	$-0.617681\pi$
$19$	−5.56274	−	2.30416i	−1.27618	−	0.528611i	−0.914837	+	0.403822i	$0.867681\pi$
$20$	0.383608	+	2.20292i	0.0857774	+	0.492587i
$21$	0.264939	+	0.264939i	0.0578144	+	0.0578144i
$22$	−1.18040	−	0.788717i	−0.251662	−	0.168155i
$23$	−0.605259	+	3.04284i	−0.126205	+	0.634477i	0.864960	+	0.501841i	$0.167344\pi$
$23$	−0.605259	+	3.04284i	−0.126205	+	0.634477i	−0.991165	+	0.132635i	$0.957656\pi$
$24$	1.51925	+	0.302197i	0.310115	+	0.0616857i
$25$	−1.69011	−	4.70569i	−0.338023	−	0.941138i
$26$	0.0959029	+	0.231530i	0.0188081	+	0.0454068i
$27$	−4.63737	+	3.09859i	−0.892462	+	0.596324i
$28$	−0.237236	−	0.0471892i	−0.0448334	−	0.00891792i
$29$	0.237131	+	1.19214i	0.0440342	+	0.221375i	0.996536	−	0.0831567i	$-0.0265002\pi$
$29$	0.237131	+	1.19214i	0.0440342	+	0.221375i	−0.952502	+	0.304531i	$0.901500\pi$
$30$	−3.46270	−	0.0829196i	−0.632199	−	0.0151390i
$31$	4.24419	+	2.83588i	0.762279	+	0.509339i	0.874902	−	0.484299i	$-0.160925\pi$
$31$	4.24419	+	2.83588i	0.762279	+	0.509339i	−0.112623	+	0.993638i	$0.535925\pi$
$32$	−0.923880	+	0.382683i	−0.163320	+	0.0676495i
$33$	1.55497	−	1.55497i	0.270685	−	0.270685i
$34$	0.802430	−	4.04427i	0.137616	−	0.693586i
$35$	0.540714	+	0.0129482i	0.0913973	+	0.00218865i
$36$	0.229828	−	0.554854i	0.0383047	−	0.0924756i
$37$	1.26779	+	6.37360i	0.208423	+	1.04781i	0.933345	+	0.358982i	$0.116876\pi$
$37$	1.26779	+	6.37360i	0.208423	+	1.04781i	−0.724921	+	0.688832i	$0.758124\pi$
$38$			6.02107i			0.976746i
$39$	−0.380733	+	0.0757325i	−0.0609660	+	0.0121269i
$40$	1.88843	−	1.19743i	0.298587	−	0.189330i
$41$	0.171169	−	0.860522i	0.0267320	−	0.134391i	−0.965115	−	0.261827i	$-0.915675\pi$
$41$	0.171169	−	0.860522i	0.0267320	−	0.134391i	0.991847	+	0.127436i	$0.0406749\pi$
$42$	0.143384	−	0.346160i	0.0221246	−	0.0534136i
$43$	−3.38747	+	8.17809i	−0.516585	+	1.24715i	0.423404	+	0.905941i	$0.360835\pi$
$43$	−3.38747	+	8.17809i	−0.516585	+	1.24715i	−0.939989	+	0.341205i	$0.889165\pi$
$44$	−0.276961	+	1.39237i	−0.0417534	+	0.209908i
$45$	−0.293446	+	1.31046i	−0.0437443	+	0.195352i
$46$	3.04284	−	0.605259i	0.448643	−	0.0892406i
$47$			10.2201i			1.49075i	0.666643	+	0.745377i	$0.267731\pi$
$47$			10.2201i			1.49075i	−0.666643	+	0.745377i	$0.732269\pi$
$48$	−0.302197	−	1.51925i	−0.0436183	−	0.219284i
$49$	2.65639	−	6.41310i	0.379485	−	0.916158i
$50$	−3.70071	+	3.36225i	−0.523360	+	0.475494i
$51$	5.90175	+	2.44125i	0.826410	+	0.341844i
$52$	0.177206	−	0.177206i	0.0245740	−	0.0245740i
$53$	1.82801	−	0.757188i	0.251097	−	0.104008i	−0.253585	−	0.967313i	$-0.581610\pi$
$53$	1.82801	−	0.757188i	0.251097	−	0.104008i	0.504682	+	0.863305i	$0.331610\pi$
$54$	4.63737	+	3.09859i	0.631066	+	0.421665i
$55$	0.0759951	−	3.17353i	0.0102472	−	0.427919i
$56$	0.0471892	+	0.237236i	0.00630592	+	0.0317020i
$57$	−9.14748	−	1.81955i	−1.21161	−	0.241005i
$58$	1.01065	−	0.675292i	0.132704	−	0.0886702i
$59$	0.520057	+	1.25553i	0.0677056	+	0.163456i	0.954110	−	0.299455i	$-0.0968049\pi$
$59$	0.520057	+	1.25553i	0.0677056	+	0.163456i	−0.886405	+	0.462911i	$0.846805\pi$
$60$	1.24851	+	3.23085i	0.161182	+	0.417101i
$61$	−8.99481	−	1.78918i	−1.15167	−	0.229081i	−0.417907	−	0.908490i	$-0.637236\pi$
$61$	−8.99481	−	1.78918i	−1.15167	−	0.229081i	−0.733760	+	0.679409i	$0.762236\pi$
$62$	0.995828	−	5.00636i	0.126470	−	0.635809i
$63$	−0.120786	−	0.0807066i	−0.0152176	−	0.0101681i
$64$	0.707107	+	0.707107i	0.0883883	+	0.0883883i
$65$	−0.322392	+	0.458347i	−0.0399878	+	0.0568509i
$66$	−2.03166	−	0.841542i	−0.250080	−	0.103587i
$67$	−7.69457	−	7.69457i	−0.940041	−	0.940041i	0.0582603	−	0.998301i	$-0.481445\pi$
$67$	−7.69457	−	7.69457i	−0.940041	−	0.940041i	−0.998301	+	0.0582603i	$0.981445\pi$
$68$	−4.04349	+	0.806326i	−0.490346	+	0.0977814i
$69$			4.80573i			0.578542i
$70$	−0.194960	−	0.504509i	−0.0233021	−	0.0603004i
$71$	−0.548870	+	0.821442i	−0.0651389	+	0.0974872i	−0.862609	−	0.505871i	$-0.831171\pi$
$71$	−0.548870	+	0.821442i	−0.0651389	+	0.0974872i	0.797470	+	0.603358i	$0.206171\pi$
$72$	−0.600569			−0.0707778
$73$	8.70593	−	13.0293i	1.01895	−	1.52497i	0.177876	−	0.984053i	$-0.443077\pi$
$73$	8.70593	−	13.0293i	1.01895	−	1.52497i	0.841076	−	0.540917i	$-0.181923\pi$
$74$	5.40328	−	3.61035i	0.628118	−	0.419695i
$75$	−3.98974	−	6.63835i	−0.460696	−	0.766531i
$76$	5.56274	−	2.30416i	0.638090	−	0.264306i
$77$	0.317252	+	0.131410i	0.0361542	+	0.0149756i
$78$	0.215668	+	0.322770i	0.0244196	+	0.0365465i
$79$	−5.86124	−	8.77197i	−0.659441	−	0.986924i	−0.998927	−	0.0463124i	$-0.985253\pi$
$79$	−5.86124	−	8.77197i	−0.659441	−	0.986924i	0.339486	−	0.940611i	$-0.389747\pi$
$80$	−1.82895	−	1.28645i	−0.204483	−	0.143829i
$81$	−4.83492	+	4.83492i	−0.537213	+	0.537213i
$82$	−0.860522	+	0.171169i	−0.0950288	+	0.0189024i
$83$	−0.0730601	−	0.176383i	−0.00801939	−	0.0193605i	0.919819	−	0.392343i	$-0.128335\pi$
$83$	−0.0730601	−	0.176383i	−0.00801939	−	0.0193605i	−0.927839	+	0.372982i	$0.878335\pi$
$84$	−0.374680			−0.0408810
$85$	8.59817	−	3.32739i	0.932602	−	0.360906i
$86$	8.85190			0.954525
$87$	0.720521	+	1.73949i	0.0772480	+	0.186493i
$88$	1.39237	−	0.276961i	0.148428	−	0.0295241i
$89$	5.17953	−	5.17953i	0.549029	−	0.549029i	−0.377131	−	0.926160i	$-0.623089\pi$
$89$	5.17953	−	5.17953i	0.549029	−	0.549029i	0.926160	+	0.377131i	$0.123089\pi$
$90$	1.32300	−	0.230383i	0.139457	−	0.0242845i
$91$	−0.0336774	−	0.0504017i	−0.00353035	−	0.00528354i
$92$	−1.72363	−	2.57960i	−0.179701	−	0.268942i
$93$	7.30496	+	3.02581i	0.757489	+	0.313762i
$94$	9.44214	−	3.91106i	0.973882	−	0.403395i
$95$	−11.3704	+	7.20979i	−1.16657	+	0.739709i
$96$	−1.28795	+	0.860584i	−0.131451	+	0.0878329i
$97$	5.27043	−	7.88775i	0.535131	−	0.800880i	−0.461125	−	0.887335i	$-0.652554\pi$
$97$	5.27043	−	7.88775i	0.535131	−	0.800880i	0.996256	+	0.0864553i	$0.0275540\pi$
$98$	−6.94149			−0.701197
$99$	−0.473679	+	0.708911i	−0.0476066	+	0.0712483i
$100$	4.52252	+	2.13233i	0.452252	+	0.213233i
$101$		−	16.9065i		−	1.68226i	−0.540832	−	0.841131i	$-0.681890\pi$
$101$		−	16.9065i		−	1.68226i	0.540832	−	0.841131i	$-0.318110\pi$
$102$	−0.00307642	−	6.38673i	−0.000304611	−	0.632380i
$103$	−2.75429	−	2.75429i	−0.271388	−	0.271388i	0.558271	−	0.829659i	$-0.311465\pi$
$103$	−2.75429	−	2.75429i	−0.271388	−	0.271388i	−0.829659	+	0.558271i	$0.811465\pi$
$104$	−0.231530	−	0.0959029i	−0.0227034	−	0.00940406i
$105$	0.825390	−	0.143730i	0.0805498	−	0.0140267i
$106$	−1.39910	−	1.39910i	−0.135893	−	0.135893i
$107$	0.825553	+	0.551617i	0.0798093	+	0.0533268i	0.594835	−	0.803848i	$-0.297218\pi$
$107$	0.825553	+	0.551617i	0.0798093	+	0.0533268i	−0.515025	+	0.857175i	$0.672218\pi$
$108$	1.08808	−	5.47015i	0.104701	−	0.526365i
$109$	−6.16805	−	1.22690i	−0.590792	−	0.117516i	−0.109364	−	0.994002i	$-0.534881\pi$
$109$	−6.16805	−	1.22690i	−0.590792	−	0.117516i	−0.481427	+	0.876486i	$0.659881\pi$
$110$	−2.96104	+	1.14425i	−0.282324	+	0.109100i
$111$	3.85216	+	9.29994i	0.365631	+	0.882712i
$112$	0.201119	−	0.134383i	0.0190040	−	0.0126980i
$113$	7.01434	+	1.39524i	0.659854	+	0.131253i	0.513648	−	0.858001i	$-0.328294\pi$
$113$	7.01434	+	1.39524i	0.659854	+	0.131253i	0.146206	+	0.989254i	$0.453294\pi$
$114$	1.81955	+	9.14748i	0.170416	+	0.856740i
$115$	4.78657	+	5.02144i	0.446350	+	0.468252i
$116$	−1.01065	−	0.675292i	−0.0938362	−	0.0626993i
$117$	0.139050	−	0.0575964i	0.0128552	−	0.00532479i
$118$	0.960940	−	0.960940i	0.0884617	−	0.0884617i
$119$	0.000480394		0.997313i	4.40377e−5		0.0914235i
$120$	2.50713	−	2.38986i	0.228869	−	0.218164i
$121$	−3.43825	+	8.30067i	−0.312568	+	0.754607i
$122$	1.78918	+	8.99481i	0.161985	+	0.814352i
$123$		−	1.35907i		−	0.122543i
$124$	−5.00636	+	0.995828i	−0.449585	+	0.0894280i
$125$	−10.7807	−	2.96248i	−0.964256	−	0.264973i
$126$	−0.0283404	+	0.142477i	−0.00252476	+	0.0126928i
$127$	−6.00272	+	14.4919i	−0.532655	+	1.28594i	0.397103	+	0.917774i	$0.370016\pi$
$127$	−6.00272	+	14.4919i	−0.532655	+	1.28594i	−0.929759	+	0.368170i	$0.879984\pi$
$128$	0.382683	−	0.923880i	0.0338248	−	0.0816602i
$129$	−2.67501	+	13.4482i	−0.235522	+	1.18405i
$130$	0.546831	+	0.122449i	0.0479603	+	0.0107395i
$131$	−5.73305	+	1.14038i	−0.500899	+	0.0996350i	−0.439072	−	0.898452i	$-0.644693\pi$
$131$	−5.73305	+	1.14038i	−0.500899	+	0.0996350i	−0.0618271	+	0.998087i	$0.519693\pi$
$132$			2.19906i			0.191403i
$133$	−0.284129	−	1.42841i	−0.0246371	−	0.123859i
$134$	−4.16427	+	10.0534i	−0.359738	+	0.868485i
$135$	−0.298558	+	12.4677i	−0.0256958	+	1.07305i
$136$	2.29233	+	3.42713i	0.196565	+	0.293874i
$137$	10.2123	−	10.2123i	0.872492	−	0.872492i	−0.120251	−	0.992744i	$-0.538370\pi$
$137$	10.2123	−	10.2123i	0.872492	−	0.872492i	0.992744	+	0.120251i	$0.0383700\pi$
$138$	4.43992	−	1.83907i	0.377951	−	0.156552i
$139$	−16.7907	−	11.2192i	−1.42417	−	0.951598i	−0.998917	−	0.0465215i	$-0.985186\pi$
$139$	−16.7907	−	11.2192i	−1.42417	−	0.951598i	−0.425249	−	0.905076i	$-0.639814\pi$
$140$	−0.391498	+	0.373187i	−0.0330876	+	0.0315400i
$141$	3.08848	+	15.5268i	0.260097	+	1.30760i
$142$	0.968957	+	0.192737i	0.0813130	+	0.0161742i
$143$	−0.295815	+	0.197658i	−0.0247373	+	0.0165290i
$144$	0.229828	+	0.554854i	0.0191523	+	0.0462378i
$145$	2.48542	+	1.09992i	0.206403	+	0.0913435i
$146$	−15.3692	−	3.05712i	−1.27196	−	0.253009i
$147$	2.09770	−	10.5458i	0.173015	−	0.869806i
$148$	−5.40328	−	3.61035i	−0.444147	−	0.296769i
$149$	9.07239	+	9.07239i	0.743239	+	0.743239i	0.973200	−	0.229961i	$-0.0738598\pi$
$149$	9.07239	+	9.07239i	0.743239	+	0.743239i	−0.229961	+	0.973200i	$0.573860\pi$
$150$	−4.60623	+	6.22643i	−0.376097	+	0.508386i
$151$	6.66259	+	2.75974i	0.542194	+	0.224584i	0.636935	−	0.770918i	$-0.280202\pi$
$151$	6.66259	+	2.75974i	0.542194	+	0.224584i	−0.0947404	+	0.995502i	$0.530202\pi$
$152$	−4.25754	−	4.25754i	−0.345332	−	0.345332i
$153$	−2.42886	−	0.481915i	−0.196362	−	0.0389605i
$154$		−	0.343391i		−	0.0276712i
$155$	10.6466	−	4.11421i	0.855155	−	0.330461i
$156$	0.215668	−	0.322770i	0.0172672	−	0.0258423i
$157$	24.9767			1.99336			0.996680	−	0.0814150i	$-0.0259439\pi$
$157$	24.9767			1.99336			0.996680	+	0.0814150i	$0.0259439\pi$
$158$	−5.86124	+	8.77197i	−0.466295	+	0.697860i
$159$	2.54838	−	1.70277i	0.202100	−	0.135039i
$160$	−0.488612	+	2.18203i	−0.0386282	+	0.172505i
$161$	−0.693311	+	0.287179i	−0.0546405	+	0.0226328i
$162$	6.31713	+	2.61664i	0.496320	+	0.205583i
$163$	−3.78546	−	5.66535i	−0.296500	−	0.443744i	0.653070	−	0.757297i	$-0.273481\pi$
$163$	−3.78546	−	5.66535i	−0.296500	−	0.443744i	−0.949571	+	0.313553i	$0.898481\pi$
$164$	0.487447	+	0.729516i	0.0380632	+	0.0569656i
$165$	−0.843576	−	4.84434i	−0.0656723	−	0.377131i
$166$	−0.134997	+	0.134997i	−0.0104778	+	0.0104778i
$167$	16.4048	−	3.26312i	1.26944	−	0.252508i	0.485992	−	0.873963i	$-0.338458\pi$
$167$	16.4048	−	3.26312i	1.26944	−	0.252508i	0.783449	+	0.621456i	$0.213458\pi$
$168$	0.143384	+	0.346160i	0.0110623	+	0.0267068i
$169$	−12.9372			−0.995169
$170$	−6.36448	−	6.67034i	−0.488133	−	0.511591i
$171$	3.61607			0.276528
$172$	−3.38747	−	8.17809i	−0.258292	−	0.623573i
$173$	−10.8217	+	2.15257i	−0.822758	+	0.163657i	−0.588479	−	0.808513i	$-0.700273\pi$
$173$	−10.8217	+	2.15257i	−0.822758	+	0.163657i	−0.234279	+	0.972169i	$0.575273\pi$
$174$	1.33135	−	1.33135i	0.100929	−	0.100929i
$175$	0.719281	−	0.972281i	0.0543725	−	0.0734975i
$176$	−0.788717	−	1.18040i	−0.0594518	−	0.0889759i
$177$	1.16951	+	1.75030i	0.0879058	+	0.131560i
$178$	−6.76738	−	2.80314i	−0.507236	−	0.210104i
$179$	13.8487	−	5.73630i	1.03510	−	0.428751i	0.200547	−	0.979684i	$-0.435728\pi$
$179$	13.8487	−	5.73630i	1.03510	−	0.428751i	0.834550	+	0.550933i	$0.185728\pi$
$180$	−0.719138	−	1.13413i	−0.0536014	−	0.0845333i
$181$	−14.6146	+	9.76518i	−1.08630	+	0.725840i	−0.963799	−	0.266628i	$-0.914090\pi$
$181$	−14.6146	+	9.76518i	−1.08630	+	0.725840i	−0.122498	+	0.992469i	$0.539090\pi$
$182$	−0.0336774	+	0.0504017i	−0.00249633	+	0.00373603i
$183$	−14.2060			−1.05014
$184$	−1.72363	+	2.57960i	−0.127068	+	0.190170i
$185$	13.2879	+	5.88057i	0.976948	+	0.432348i
$186$		−	7.90683i		−	0.579757i
$187$	5.85338	−	0.00281951i	0.428041	−	0.000206183i
$188$	−7.22670	−	7.22670i	−0.527061	−	0.527061i
$189$	−1.24637	−	0.516264i	−0.0906602	−	0.0375527i
$190$	11.0122	+	7.74578i	0.798911	+	0.561938i
$191$	−6.51300	−	6.51300i	−0.471264	−	0.471264i	0.431059	−	0.902324i	$-0.358140\pi$
$191$	−6.51300	−	6.51300i	−0.471264	−	0.471264i	−0.902324	+	0.431059i	$0.858140\pi$
$192$	1.28795	+	0.860584i	0.0929501	+	0.0621073i
$193$	−1.83080	+	9.20405i	−0.131784	+	0.662522i	0.857258	+	0.514887i	$0.172166\pi$
$193$	−1.83080	+	9.20405i	−0.131784	+	0.662522i	−0.989042	+	0.147635i	$0.952834\pi$
$194$	−9.30424	−	1.85073i	−0.668005	−	0.132875i
$195$	−0.351281	+	0.793767i	−0.0251558	+	0.0568428i
$196$	2.65639	+	6.41310i	0.189742	+	0.458079i
$197$	5.57335	−	3.72400i	0.397085	−	0.265324i	−0.340956	−	0.940079i	$-0.610751\pi$
$197$	5.57335	−	3.72400i	0.397085	−	0.265324i	0.738041	+	0.674755i	$0.235751\pi$
$198$	0.836218	+	0.166334i	0.0594274	+	0.0118208i
$199$	4.92775	+	24.7735i	0.349319	+	1.75614i	0.611613	+	0.791157i	$0.290521\pi$
$199$	4.92775	+	24.7735i	0.349319	+	1.75614i	−0.262294	+	0.964988i	$0.584479\pi$
$200$	0.239328	−	4.99427i	0.0169231	−	0.353148i
$201$	−14.0152	−	9.36467i	−0.988557	−	0.660533i
$202$	−15.6196	+	6.46985i	−1.09899	+	0.455217i
$203$	−0.207895	+	0.207895i	−0.0145914	+	0.0145914i
$204$	−5.89939	+	2.44694i	−0.413040	+	0.171320i
$205$	−1.35365	−	1.42007i	−0.0945432	−	0.0991823i
$206$	−1.49061	+	3.59866i	−0.103856	+	0.250730i
$207$	−0.363500	−	1.82744i	−0.0252650	−	0.127016i
$208$			0.250606i			0.0173764i
$209$	−8.38358	+	1.66760i	−0.579904	+	0.115350i
$210$	−0.448653	−	0.707558i	−0.0309600	−	0.0488261i
$211$	4.01313	−	20.1754i	0.276275	−	1.38893i	−0.554436	−	0.832227i	$-0.687066\pi$
$211$	4.01313	−	20.1754i	0.276275	−	1.38893i	0.830711	−	0.556704i	$-0.187934\pi$
$212$	−0.757188	+	1.82801i	−0.0520039	+	0.125548i
$213$	−0.585631	+	1.41384i	−0.0401268	+	0.0968746i
$214$	0.193702	−	0.973807i	0.0132412	−	0.0665681i
$215$	10.5995	+	16.7162i	0.722880	+	1.14003i
$216$	−5.47015	+	1.08808i	−0.372197	+	0.0740345i
$217$			1.23468i			0.0838157i
$218$	1.22690	+	6.16805i	0.0830962	+	0.417753i
$219$	9.28902	−	22.4257i	0.627694	−	1.51539i
$220$	2.19029	+	2.29776i	0.147669	+	0.154915i
$221$	−0.859415	−	0.573644i	−0.0578105	−	0.0385875i
$222$	7.11787	−	7.11787i	0.477720	−	0.477720i
$223$	4.24146	−	1.75687i	0.284029	−	0.117649i	−0.236121	−	0.971724i	$-0.575876\pi$
$223$	4.24146	−	1.75687i	0.284029	−	0.117649i	0.520150	+	0.854075i	$0.325876\pi$
$224$	−0.201119	−	0.134383i	−0.0134378	−	0.00897887i
$225$	2.01927	+	2.22253i	0.134618	+	0.148169i
$226$	−1.39524	−	7.01434i	−0.0928100	−	0.466587i
$227$	−18.5039	−	3.68065i	−1.22815	−	0.244293i	−0.461953	−	0.886904i	$-0.652851\pi$
$227$	−18.5039	−	3.68065i	−1.22815	−	0.244293i	−0.766193	+	0.642611i	$0.777851\pi$
$228$	7.75486	−	5.18163i	0.513578	−	0.343162i
$229$	7.85190	+	18.9562i	0.518868	+	1.25266i	0.938599	+	0.345010i	$0.112124\pi$
$229$	7.85190	+	18.9562i	0.518868	+	1.25266i	−0.419731	+	0.907649i	$0.637876\pi$
$230$	2.80746	−	6.34384i	0.185119	−	0.418300i
$231$	0.521696	+	0.103772i	0.0343250	+	0.00682768i
$232$	−0.237131	+	1.19214i	−0.0155684	+	0.0782677i
$233$	−9.03059	−	6.03405i	−0.591614	−	0.395304i	0.223416	−	0.974723i	$-0.428279\pi$
$233$	−9.03059	−	6.03405i	−0.591614	−	0.395304i	−0.815029	+	0.579420i	$0.803279\pi$
$234$	−0.106424	−	0.106424i	−0.00695717	−	0.00695717i
$235$	18.6920	+	13.1476i	1.21933	+	0.857655i
$236$	−1.25553	−	0.520057i	−0.0817279	−	0.0338528i
$237$	−11.5555	−	11.5555i	−0.750612	−	0.750612i
$238$	0.921213	−	0.382099i	0.0597134	−	0.0247678i
$239$			7.02173i			0.454198i	0.973872	+	0.227099i	$0.0729241\pi$
$239$			7.02173i			0.454198i	−0.973872	+	0.227099i	$0.927076\pi$
$240$	−3.16738	−	1.40172i	−0.204454	−	0.0904810i
$241$	−9.37504	+	14.0307i	−0.603900	+	0.903800i	−0.999896	−	0.0144526i	$-0.995399\pi$
$241$	−9.37504	+	14.0307i	−0.603900	+	0.903800i	0.395996	+	0.918252i	$0.370399\pi$
$242$	8.98458			0.577551
$243$	3.41144	−	5.10558i	0.218844	−	0.327523i
$244$	7.62543	−	5.09515i	0.488168	−	0.326184i
$245$	−8.31193	−	13.1085i	−0.531030	−	0.837473i
$246$	−1.25562	+	0.520094i	−0.0800553	+	0.0331600i
$247$	1.39406	+	0.577438i	0.0887018	+	0.0367415i
$248$	2.83588	+	4.24419i	0.180078	+	0.269506i
$249$	−0.164299	−	0.245890i	−0.0104120	−	0.0155827i
$250$	1.38862	+	11.0938i	0.0878241	+	0.701632i
$251$	19.5290	−	19.5290i	1.23266	−	1.23266i	0.269721	−	0.962939i	$-0.413069\pi$
$251$	19.5290	−	19.5290i	1.23266	−	1.23266i	0.962939	−	0.269721i	$-0.0869313\pi$
$252$	0.142477	−	0.0283404i	0.00897519	−	0.00178528i
$253$	1.68550	+	4.06915i	0.105966	+	0.255825i
$254$	15.6859			0.984219
$255$	12.0572	−	7.65346i	0.755052	−	0.479278i
$256$	−1.00000			−0.0625000
$257$	−0.305941	−	0.738606i	−0.0190841	−	0.0460730i	0.914050	−	0.405601i	$-0.132938\pi$
$257$	−0.305941	−	0.738606i	−0.0190841	−	0.0460730i	−0.933134	+	0.359528i	$0.882938\pi$
$258$	13.4482	−	2.67501i	0.837249	−	0.166539i
$259$	−1.11148	+	1.11148i	−0.0690642	+	0.0690642i
$260$	−0.0961346	−	0.552065i	−0.00596202	−	0.0342376i
$261$	−0.405560	−	0.606963i	−0.0251035	−	0.0375701i
$262$	3.24751	+	4.86025i	0.200632	+	0.300267i
$263$	−6.89733	−	2.85697i	−0.425308	−	0.176168i	0.159754	−	0.987157i	$-0.448930\pi$
$263$	−6.89733	−	2.85697i	−0.425308	−	0.176168i	−0.585062	+	0.810989i	$0.698930\pi$
$264$	2.03166	−	0.841542i	0.125040	−	0.0517934i
$265$	0.966781	−	4.31742i	0.0593889	−	0.265217i
$266$	−1.21095	+	0.809132i	−0.0742482	+	0.0496110i
$267$	6.30374	−	9.43421i	0.385782	−	0.577364i
$268$	10.8818			0.664709
$269$	11.5222	−	17.2442i	0.702519	−	1.05139i	−0.292933	−	0.956133i	$-0.594631\pi$
$269$	11.5222	−	17.2442i	0.702519	−	1.05139i	0.995452	−	0.0952616i	$-0.0303687\pi$
$270$	11.6329	−	4.49534i	0.707955	−	0.273578i
$271$		−	20.6843i		−	1.25648i	−0.778018	−	0.628242i	$-0.783775\pi$
$271$		−	20.6843i		−	1.25648i	0.778018	−	0.628242i	$-0.216225\pi$
$272$	2.28902	−	3.42934i	0.138792	−	0.207934i
$273$	−0.0663954	−	0.0663954i	−0.00401843	−	0.00401843i
$274$	−13.3430	−	5.52684i	−0.806078	−	0.333888i
$275$	−5.70647	−	4.22157i	−0.344113	−	0.254570i
$276$	−3.39817	−	3.39817i	−0.204546	−	0.204546i
$277$	−17.0637	−	11.4016i	−1.02526	−	0.685054i	−0.0752111	−	0.997168i	$-0.523963\pi$
$277$	−17.0637	−	11.4016i	−1.02526	−	0.685054i	−0.950045	+	0.312114i	$0.898963\pi$
$278$	−3.93965	+	19.8060i	−0.236284	+	1.18788i
$279$	−3.00667	−	0.598064i	−0.180005	−	0.0358051i
$280$	0.494599	+	0.218885i	0.0295580	+	0.0130809i
$281$	−8.90415	−	21.4965i	−0.531177	−	1.28237i	−0.930744	−	0.365671i	$-0.880840\pi$
$281$	−8.90415	−	21.4965i	−0.531177	−	1.28237i	0.399568	−	0.916704i	$-0.369160\pi$
$282$	13.1630	−	8.79525i	0.783846	−	0.523749i
$283$	16.7691	+	3.33557i	0.996817	+	0.198279i	0.666431	−	0.745567i	$-0.267821\pi$
$283$	16.7691	+	3.33557i	0.996817	+	0.198279i	0.330386	+	0.943846i	$0.392821\pi$
$284$	−0.192737	−	0.968957i	−0.0114369	−	0.0574970i
$285$	−15.0956	+	14.3895i	−0.894186	+	0.852362i
$286$	0.295815	+	0.197658i	0.0174919	+	0.0116877i
$287$	0.196070	−	0.0812147i	0.0115736	−	0.00479395i
$288$	0.424667	−	0.424667i	0.0250237	−	0.0250237i
$289$	6.52075	+	15.6997i	0.383573	+	0.923510i
$290$	0.0650663	−	2.71715i	0.00382083	−	0.159556i
$291$	5.62342	−	13.5761i	0.329651	−	0.795847i
$292$	3.05712	+	15.3692i	0.178904	+	0.899412i
$293$			31.7214i			1.85318i	0.376071	+	0.926591i	$0.377275\pi$
$293$			31.7214i			1.85318i	−0.376071	+	0.926591i	$0.622725\pi$
$294$	−10.5458	+	2.09770i	−0.615045	+	0.122340i
$295$	2.96532	+	0.664012i	0.172648	+	0.0386602i
$296$	−1.26779	+	6.37360i	−0.0736887	+	0.370458i
$297$	−3.03003	+	7.31514i	−0.175820	+	0.424468i
$298$	4.90994	−	11.8536i	0.284425	−	0.686663i
$299$	0.151682	−	0.762556i	0.00877199	−	0.0440998i
$300$	7.51520	+	1.87285i	0.433890	+	0.108129i
$301$	−2.09999	+	0.417714i	−0.121041	+	0.0240766i
$302$		−	7.21154i		−	0.414977i
$303$	−5.10910	−	25.6852i	−0.293510	−	1.47557i
$304$	−2.30416	+	5.56274i	−0.132153	+	0.319045i
$305$	−14.8437	+	14.1494i	−0.849945	+	0.810191i
$306$	0.484255	+	2.42840i	0.0276830	+	0.138822i
$307$	−10.0231	+	10.0231i	−0.572047	+	0.572047i	−0.932700	−	0.360653i	$-0.882554\pi$
$307$	−10.0231	+	10.0231i	−0.572047	+	0.572047i	0.360653	+	0.932700i	$0.382554\pi$
$308$	−0.317252	+	0.131410i	−0.0180771	+	0.00748779i
$309$	−5.01679	−	3.35211i	−0.285395	−	0.190695i
$310$	−7.87531	−	8.26173i	−0.447287	−	0.469235i
$311$	5.82573	+	29.2879i	0.330347	+	1.66077i	0.687097	+	0.726566i	$0.258885\pi$
$311$	5.82573	+	29.2879i	0.330347	+	1.66077i	−0.356750	+	0.934200i	$0.616115\pi$
$312$	−0.380733	−	0.0757325i	−0.0215548	−	0.00428751i
$313$	−0.788463	+	0.526834i	−0.0445666	+	0.0297784i	−0.577654	−	0.816282i	$-0.696032\pi$
$313$	−0.788463	+	0.526834i	−0.0445666	+	0.0297784i	0.533087	+	0.846060i	$0.321032\pi$
$314$	−9.55818	−	23.0755i	−0.539399	−	1.30223i
$315$	−0.302993	+	0.117087i	−0.0170717	+	0.00659709i
$316$	10.3472	+	2.05819i	0.582078	+	0.115782i
$317$	−1.79766	+	9.03747i	−0.100967	+	0.507595i	0.896895	+	0.442243i	$0.145817\pi$
$317$	−1.79766	+	9.03747i	−0.100967	+	0.507595i	−0.997862	+	0.0653519i	$0.979183\pi$
$318$	−2.54838	−	1.70277i	−0.142906	−	0.0954868i
$319$	1.22017	+	1.22017i	0.0683164	+	0.0683164i
$320$	2.20292	−	0.383608i	0.123147	−	0.0214443i
$321$	1.42092	+	0.588562i	0.0793078	+	0.0328504i
$322$	0.530637	+	0.530637i	0.0295712	+	0.0295712i
$323$	−13.8022	−	20.6350i	−0.767977	−	1.14816i
$324$		−	6.83761i		−	0.379867i
$325$	0.423553	+	1.17928i	0.0234945	+	0.0654145i
$326$	−3.78546	+	5.66535i	−0.209657	+	0.313775i
$327$	−9.74154			−0.538708
$328$	0.487447	−	0.729516i	0.0269147	−	0.0402808i
$329$	−2.05546	+	1.37341i	−0.113321	+	0.0757187i
$330$	−4.15276	+	2.63321i	−0.228602	+	0.144953i
$331$	−14.0014	+	5.79957i	−0.769587	+	0.318773i	−0.732705	−	0.680546i	$-0.761743\pi$
$331$	−14.0014	+	5.79957i	−0.769587	+	0.318773i	−0.0368818	+	0.999320i	$0.511743\pi$
$332$	0.176383	+	0.0730601i	0.00968026	+	0.00400969i
$333$	−2.16827	−	3.24504i	−0.118820	−	0.177827i
$334$	−9.29257	−	13.9073i	−0.508467	−	0.760975i
$335$	−23.9716	+	4.17433i	−1.30971	+	0.228068i
$336$	0.264939	−	0.264939i	0.0144536	−	0.0144536i
$337$	−15.0655	+	2.99672i	−0.820671	+	0.163242i	−0.587531	−	0.809202i	$-0.699900\pi$
$337$	−15.0655	+	2.99672i	−0.820671	+	0.163242i	−0.233140	+	0.972443i	$0.574900\pi$
$338$	4.95085	+	11.9524i	0.269291	+	0.650125i
$339$	11.0781			0.601682
$340$	−3.72701	+	8.43264i	−0.202125	+	0.457324i
$341$	7.24654			0.392422
$342$	−1.38381	−	3.34081i	−0.0748278	−	0.180650i
$343$	3.30743	−	0.657888i	0.178584	−	0.0355226i
$344$	−6.25924	+	6.25924i	−0.337475	+	0.337475i
$345$	8.78944	+	6.18232i	0.473208	+	0.332845i
$346$	6.12999	+	9.17418i	0.329550	+	0.493207i
$347$	11.6216	+	17.3930i	0.623883	+	0.933706i	0.999975	+	0.00712393i	$0.00226764\pi$
$347$	11.6216	+	17.3930i	0.623883	+	0.933706i	−0.376092	+	0.926582i	$0.622732\pi$
$348$	−1.73949	−	0.720521i	−0.0932465	−	0.0386240i
$349$	−2.52921	+	1.04763i	−0.135386	+	0.0560785i	−0.449348	−	0.893357i	$-0.648344\pi$
$349$	−2.52921	+	1.04763i	−0.135386	+	0.0560785i	0.313962	+	0.949436i	$0.398344\pi$
$350$	−1.17353	−	0.292453i	−0.0627277	−	0.0156323i
$351$	1.16215	−	0.776527i	0.0620312	−	0.0414479i
$352$	−0.788717	+	1.18040i	−0.0420388	+	0.0629154i
$353$	10.1837			0.542025			0.271013	−	0.962576i	$-0.412642\pi$
$353$	10.1837			0.542025			0.271013	+	0.962576i	$0.412642\pi$
$354$	1.16951	−	1.75030i	0.0621588	−	0.0930272i
$355$	0.796284	+	2.06060i	0.0422624	+	0.109365i
$356$			7.32495i			0.388222i
$357$	0.302114	+	1.51502i	0.0159896	+	0.0801832i
$358$	−10.5993	−	10.5993i	−0.560190	−	0.560190i
$359$	20.3347	+	8.42291i	1.07322	+	0.444544i	0.848128	−	0.529792i	$-0.177730\pi$
$359$	20.3347	+	8.42291i	1.07322	+	0.444544i	0.225097	+	0.974336i	$0.427730\pi$
$360$	−0.772600	+	1.09841i	−0.0407196	+	0.0578914i
$361$	12.1999	+	12.1999i	0.642099	+	0.642099i
$362$	14.6146	+	9.76518i	0.768128	+	0.513247i
$363$	−2.71511	+	13.6498i	−0.142506	+	0.716428i
$364$	0.0594529	+	0.0118259i	0.00311618	+	0.000619847i
$365$	−12.6303	−	32.6843i	−0.661101	−	1.71077i
$366$	5.43641	+	13.1246i	0.284165	+	0.686036i
$367$	−1.58128	+	1.05658i	−0.0825421	+	0.0551529i	−0.596156	−	0.802868i	$-0.703306\pi$
$367$	−1.58128	+	1.05658i	−0.0825421	+	0.0551529i	0.513614	+	0.858021i	$0.328306\pi$
$368$	3.04284	+	0.605259i	0.158619	+	0.0315513i
$369$	0.102799	+	0.516803i	0.00535148	+	0.0269037i
$370$	0.347868	−	14.5268i	0.0180848	−	0.755215i
$371$	0.397940	+	0.265895i	0.0206600	+	0.0138046i
$372$	−7.30496	+	3.02581i	−0.378745	+	0.156881i
$373$	4.01050	−	4.01050i	0.207656	−	0.207656i	−0.595615	−	0.803270i	$-0.703091\pi$
$373$	4.01050	−	4.01050i	0.207656	−	0.207656i	0.803270	+	0.595615i	$0.203091\pi$
$374$	−2.24260	−	5.40674i	−0.115962	−	0.279576i
$375$	−17.2738	−	1.24284i	−0.892015	−	0.0641802i
$376$	−3.91106	+	9.44214i	−0.201698	+	0.486941i
$377$	−0.0594266	−	0.298758i	−0.00306063	−	0.0153868i
$378$			1.34906i			0.0693883i
$379$	−1.89732	+	0.377400i	−0.0974587	+	0.0193857i	−0.243579	−	0.969881i	$-0.578321\pi$
$379$	−1.89732	+	0.377400i	−0.0974587	+	0.0193857i	0.146120	+	0.989267i	$0.453321\pi$
$380$	2.94197	−	13.1381i	0.150920	−	0.673973i
$381$	−4.74022	+	23.8307i	−0.242849	+	1.22088i
$382$	−3.52481	+	8.50965i	−0.180345	+	0.435392i
$383$	−10.8982	+	26.3105i	−0.556870	+	1.34440i	0.355362	+	0.934729i	$0.384358\pi$
$383$	−10.8982	+	26.3105i	−0.556870	+	1.34440i	−0.912232	+	0.409674i	$0.865642\pi$
$384$	0.302197	−	1.51925i	0.0154214	−	0.0775287i
$385$	0.648470	−	0.411186i	0.0330491	−	0.0209560i
$386$	9.20405	−	1.83080i	0.468474	−	0.0931852i
$387$		−	5.31618i		−	0.270237i
$388$	1.85073	+	9.30424i	0.0939565	+	0.472351i
$389$	9.59778	−	23.1711i	0.486627	−	1.17482i	−0.469780	−	0.882784i	$-0.655667\pi$
$389$	9.59778	−	23.1711i	0.486627	−	1.17482i	0.956407	−	0.292038i	$-0.0943333\pi$
$390$	0.867774	+	0.0207802i	0.0439415	+	0.00105225i
$391$	−9.04078	+	9.04949i	−0.457212	+	0.457652i
$392$	4.90838	−	4.90838i	0.247910	−	0.247910i
$393$	−8.36530	+	3.46502i	−0.421973	+	0.174787i
$394$	−5.57335	−	3.72400i	−0.280781	−	0.187612i
$395$	−23.5837	−	0.564747i	−1.18662	−	0.0284155i
$396$	−0.166334	−	0.836218i	−0.00835860	−	0.0420215i
$397$	−4.51435	−	0.897961i	−0.226569	−	0.0450674i	0.0805001	−	0.996755i	$-0.474348\pi$
$397$	−4.51435	−	0.897961i	−0.226569	−	0.0450674i	−0.307069	+	0.951687i	$0.599348\pi$
$398$	21.0019	−	14.0330i	1.05273	−	0.703413i
$399$	−0.863324	−	2.08425i	−0.0432203	−	0.104343i
$400$	−4.70569	+	1.69011i	−0.235284	+	0.0845057i
$401$	36.0272	+	7.16626i	1.79911	+	0.357866i	0.977295	−	0.211884i	$-0.0679600\pi$
$401$	36.0272	+	7.16626i	1.79911	+	0.357866i	0.821818	+	0.569750i	$0.192960\pi$
$402$	−3.28843	+	16.5321i	−0.164012	+	0.824545i
$403$	−1.06362	−	0.710689i	−0.0529828	−	0.0354019i
$404$	11.9547	+	11.9547i	0.594769	+	0.594769i
$405$	2.62296	+	15.0627i	0.130336	+	0.748471i
$406$	0.271628	+	0.112512i	0.0134807	+	0.00558388i
$407$	6.52346	+	6.52346i	0.323356	+	0.323356i
$408$	4.51827	+	4.51392i	0.223688	+	0.223473i
$409$			37.5509i			1.85677i	0.371618	+	0.928386i	$0.378803\pi$
$409$			37.5509i			1.85677i	−0.371618	+	0.928386i	$0.621197\pi$
$410$	−0.793957	+	1.79405i	−0.0392107	+	0.0886019i
$411$	12.4288	−	18.6010i	0.613069	−	0.917522i
$412$	3.89516			0.191901
$413$	−0.182624	+	0.273316i	−0.00898632	+	0.0134490i
$414$	−1.54923	+	1.03516i	−0.0761404	+	0.0508754i
$415$	−0.416583	−	0.0932836i	−0.0204493	−	0.00457911i
$416$	0.231530	−	0.0959029i	0.0113517	−	0.00470203i
$417$	−28.8996	−	11.9706i	−1.41522	−	0.586202i
$418$	4.74892	+	7.10726i	0.232277	+	0.347627i
$419$	−14.3243	−	21.4378i	−0.699787	−	1.04731i	−0.995749	−	0.0921057i	$-0.970640\pi$
$419$	−14.3243	−	21.4378i	−0.699787	−	1.04731i	0.295962	−	0.955200i	$-0.404360\pi$
$420$	−0.482006	+	0.685272i	−0.0235195	+	0.0334378i
$421$	3.63694	−	3.63694i	0.177254	−	0.177254i	−0.612904	−	0.790158i	$-0.709999\pi$
$421$	3.63694	−	3.63694i	0.177254	−	0.177254i	0.790158	+	0.612904i	$0.209999\pi$
$422$	−20.1754	+	4.01313i	−0.982122	+	0.195356i
$423$	−2.34886	−	5.67066i	−0.114206	−	0.275717i
$424$	1.97863			0.0960906
$425$	4.97546	−	20.0061i	0.241345	−	0.970439i
$426$	1.53033			0.0741446
$427$	−0.848916	−	2.04946i	−0.0410819	−	0.0991805i
$428$	−0.973807	+	0.193702i	−0.0470707	+	0.00936295i
$429$	−0.389685	+	0.389685i	−0.0188142	+	0.0188142i
$430$	11.3875	−	16.1897i	0.549153	−	0.780735i
$431$	2.44173	+	3.65430i	0.117614	+	0.176022i	0.885605	−	0.464438i	$-0.153744\pi$
$431$	2.44173	+	3.65430i	0.117614	+	0.176022i	−0.767992	+	0.640460i	$0.778744\pi$
$432$	3.09859	+	4.63737i	0.149081	+	0.223116i
$433$	21.4595	+	8.88880i	1.03128	+	0.427169i	0.833173	−	0.553013i	$-0.186522\pi$
$433$	21.4595	+	8.88880i	1.03128	+	0.427169i	0.198103	+	0.980181i	$0.436522\pi$
$434$	1.14070	−	0.472493i	0.0547552	−	0.0226804i
$435$	4.10835	+	0.919965i	0.196980	+	0.0441090i
$436$	5.22902	−	3.49392i	0.250424	−	0.167328i
$437$	10.3781	−	15.5319i	0.496452	−	0.742993i
$438$	−24.2734			−1.15983
$439$	5.19233	−	7.77087i	0.247816	−	0.370883i	−0.686618	−	0.727018i	$-0.740906\pi$
$439$	5.19233	−	7.77087i	0.247816	−	0.370883i	0.934435	+	0.356135i	$0.115906\pi$
$440$	1.28467	−	2.90288i	0.0612441	−	0.138389i
$441$			4.16885i			0.198517i
$442$	−0.201094	+	1.01352i	−0.00956507	+	0.0482082i
$443$	−0.680053	−	0.680053i	−0.0323103	−	0.0323103i	0.690767	−	0.723077i	$-0.257273\pi$
$443$	−0.680053	−	0.680053i	−0.0323103	−	0.0323103i	−0.723077	+	0.690767i	$0.757273\pi$
$444$	−9.29994	−	3.85216i	−0.441356	−	0.182816i
$445$	−2.80991	−	16.1363i	−0.133203	−	0.764933i
$446$	−3.24627	−	3.24627i	−0.153715	−	0.153715i
$447$	16.5248	+	11.0415i	0.781598	+	0.522247i
$448$	−0.0471892	+	0.237236i	−0.00222948	+	0.0112084i
$449$	−1.16763	−	0.232256i	−0.0551039	−	0.0109609i	0.167461	−	0.985879i	$-0.446443\pi$
$449$	−1.16763	−	0.232256i	−0.0551039	−	0.0109609i	−0.222565	+	0.974918i	$0.571443\pi$
$450$	1.28061	−	2.71608i	0.0603688	−	0.128037i
$451$	−0.476661	−	1.15076i	−0.0224451	−	0.0541873i
$452$	−5.94647	+	3.97331i	−0.279699	+	0.186889i
$453$	10.9561	+	2.17930i	0.514762	+	0.102393i
$454$	3.68065	+	18.5039i	0.172742	+	0.868430i
$455$	−0.135506	−	0.00324491i	−0.00635264	−	0.000152124i
$456$	−7.75486	−	5.18163i	−0.363154	−	0.242652i
$457$	−16.5093	+	6.83836i	−0.772270	+	0.319885i	−0.733792	−	0.679375i	$-0.762251\pi$
$457$	−16.5093	+	6.83836i	−0.772270	+	0.319885i	−0.0384787	+	0.999259i	$0.512251\pi$
$458$	14.5084	−	14.5084i	0.677934	−	0.677934i
$459$	−22.9959	+	0.0110768i	−1.07335	+	0.000517023i
$460$	−6.93531	−	0.166077i	−0.323361	−	0.00774337i
$461$	1.95502	−	4.71984i	0.0910545	−	0.219825i	−0.871791	−	0.489878i	$-0.837041\pi$
$461$	1.95502	−	4.71984i	0.0910545	−	0.219825i	0.962845	+	0.270053i	$0.0870413\pi$
$462$	−0.103772	−	0.521696i	−0.00482790	−	0.0242715i
$463$		−	30.5132i		−	1.41807i	−0.705174	−	0.709034i	$-0.749131\pi$
$463$		−	30.5132i		−	1.41807i	0.705174	−	0.709034i	$-0.250869\pi$
$464$	1.19214	−	0.237131i	0.0553437	−	0.0110085i
$465$	14.9315	−	9.46786i	0.692432	−	0.439061i
$466$	−2.11888	+	10.6523i	−0.0981550	+	0.493459i
$467$	−4.55023	+	10.9852i	−0.210559	+	0.508335i	−0.993509	−	0.113749i	$-0.963714\pi$
$467$	−4.55023	+	10.9852i	−0.210559	+	0.508335i	0.782950	+	0.622084i	$0.213714\pi$
$468$	−0.0575964	+	0.139050i	−0.00266239	+	0.00642759i
$469$	0.513502	−	2.58155i	0.0237113	−	0.119205i
$470$	4.99367	−	22.3006i	0.230341	−	1.02865i
$471$	37.9458	−	7.54789i	1.74845	−	0.347788i
$472$			1.35897i			0.0625518i
$473$	2.45163	+	12.3252i	0.112726	+	0.566711i
$474$	−6.25381	+	15.0980i	−0.287247	+	0.693475i
$475$	−1.44101	+	30.0708i	−0.0661181	+	1.37974i
$476$	−0.705546	−	0.704867i	−0.0323387	−	0.0323075i
$477$	−0.840257	+	0.840257i	−0.0384727	+	0.0384727i
$478$	6.48723	−	2.68710i	0.296719	−	0.122905i
$479$	3.46289	+	2.31383i	0.158223	+	0.105722i	0.632161	−	0.774837i	$-0.282168\pi$
$479$	3.46289	+	2.31383i	0.158223	+	0.105722i	−0.473938	+	0.880558i	$0.657168\pi$
$480$	−0.0829196	+	3.46270i	−0.00378475	+	0.158050i
$481$	−0.317716	−	1.59727i	−0.0144866	−	0.0728290i
$482$	16.5504	+	3.29208i	0.753850	+	0.149950i
$483$	−0.966525	+	0.645811i	−0.0439784	+	0.0293854i
$484$	−3.43825	−	8.30067i	−0.156284	−	0.377303i
$485$	−7.64618	−	19.7865i	−0.347195	−	0.898459i
$486$	−6.02244	−	1.19794i	−0.273184	−	0.0543396i
$487$	1.98391	−	9.97377i	0.0898994	−	0.451955i	−0.909447	−	0.415819i	$-0.863495\pi$
$487$	1.98391	−	9.97377i	0.0898994	−	0.451955i	0.999347	−	0.0361360i	$-0.0115050\pi$
$488$	−7.62543	−	5.09515i	−0.345187	−	0.230647i
$489$	−7.46310	−	7.46310i	−0.337493	−	0.337493i
$490$	−8.92985	+	12.6956i	−0.403410	+	0.573531i
$491$	−9.31628	−	3.85893i	−0.420438	−	0.174151i	0.162426	−	0.986721i	$-0.448068\pi$
$491$	−9.31628	−	3.85893i	−0.420438	−	0.174151i	−0.582864	+	0.812570i	$0.698068\pi$
$492$	0.961009	+	0.961009i	0.0433256	+	0.0433256i
$493$	−1.91563	+	4.63105i	−0.0862756	+	0.208572i
$494$		−	1.50892i		−	0.0678894i
$495$	0.687200	+	1.77831i	0.0308873	+	0.0799292i
$496$	2.83588	−	4.24419i	0.127335	−	0.190570i
$497$	−0.238967			−0.0107191
$498$	−0.164299	+	0.245890i	−0.00736239	+	0.0110186i
$499$	25.8286	−	17.2581i	1.15624	−	0.772578i	0.178824	−	0.983881i	$-0.442771\pi$
$499$	25.8286	−	17.2581i	1.15624	−	0.772578i	0.977421	+	0.211303i	$0.0677707\pi$
$500$	9.71790	−	5.52832i	0.434598	−	0.247234i
$501$	23.9368	−	9.91495i	1.06942	−	0.442967i
$502$	−25.5159	−	10.5690i	−1.13883	−	0.471718i
$503$	3.09637	+	4.63404i	0.138060	+	0.206622i	0.894056	−	0.447954i	$-0.147847\pi$
$503$	3.09637	+	4.63404i	0.138060	+	0.206622i	−0.755996	+	0.654576i	$0.772847\pi$
$504$	−0.0807066	−	0.120786i	−0.00359496	−	0.00538023i
$505$	−30.9212	−	21.7493i	−1.37597	−	0.967832i
$506$	3.11439	−	3.11439i	0.138451	−	0.138451i
$507$	−19.6548	+	3.90958i	−0.872899	+	0.173630i
$508$	−6.00272	−	14.4919i	−0.266328	−	0.642972i
$509$	44.5099			1.97287			0.986433	−	0.164167i	$-0.0524937\pi$
$509$	44.5099			1.97287			0.986433	+	0.164167i	$0.0524937\pi$
$510$	−11.6850	−	8.21056i	−0.517419	−	0.363570i
$511$	3.79038			0.167677
$512$	0.382683	+	0.923880i	0.0169124	+	0.0408301i
$513$	32.9361	−	6.55140i	1.45417	−	0.289252i
$514$	−0.565305	+	0.565305i	−0.0249345	+	0.0249345i
$515$	−8.58071	+	1.49421i	−0.378111	+	0.0658429i
$516$	−7.61780	−	11.4008i	−0.335355	−	0.501894i
$517$	8.06076	+	12.0638i	0.354512	+	0.530565i
$518$	1.45222	+	0.601530i	0.0638070	+	0.0264297i
$519$	−15.7903	+	6.54056i	−0.693117	+	0.287099i
$520$	−0.473253	+	0.300083i	−0.0207535	+	0.0131595i
$521$	−18.5333	+	12.3835i	−0.811957	+	0.542533i	−0.890822	−	0.454353i	$-0.849871\pi$
$521$	−18.5333	+	12.3835i	−0.811957	+	0.542533i	0.0788644	+	0.996885i	$0.474871\pi$
$522$	−0.405560	+	0.606963i	−0.0177509	+	0.0265661i
$523$	15.7551			0.688922			0.344461	−	0.938801i	$-0.388062\pi$
$523$	15.7551			0.688922			0.344461	+	0.938801i	$0.388062\pi$
$524$	3.24751	−	4.86025i	0.141868	−	0.212321i
$525$	0.798944	−	1.69450i	0.0348688	−	0.0739540i
$526$			7.46562i			0.325516i
$527$	8.06338	+	19.4402i	0.351246	+	0.846830i
$528$	−1.55497	−	1.55497i	−0.0676713	−	0.0676713i
$529$	12.3567	+	5.11830i	0.537247	+	0.222535i
$530$	−4.35875	+	0.759017i	−0.189332	+	0.0329696i
$531$	−0.577111	−	0.577111i	−0.0250445	−	0.0250445i
$532$	1.21095	+	0.809132i	0.0525014	+	0.0350803i
$533$	−0.0428959	+	0.215652i	−0.00185803	+	0.00934094i
$534$	−11.1284	−	2.21358i	−0.481573	−	0.0957909i
$535$	2.07091	−	0.800270i	0.0895332	−	0.0345987i
$536$	−4.16427	−	10.0534i	−0.179869	−	0.434242i
$537$	19.3060	−	12.8999i	0.833116	−	0.556670i
$538$	−20.3409	−	4.04605i	−0.876957	−	0.174438i
$539$	−1.92252	−	9.66516i	−0.0828088	−	0.416308i
$540$	−8.60487	−	9.02710i	−0.370295	−	0.388464i
$541$	−30.9603	−	20.6870i	−1.33109	−	0.889404i	−0.332530	−	0.943093i	$-0.607902\pi$
$541$	−30.9603	−	20.6870i	−1.33109	−	0.889404i	−0.998558	+	0.0536885i	$0.982902\pi$
$542$	−19.1098	+	7.91555i	−0.820838	+	0.340002i
$543$	−19.2522	+	19.2522i	−0.826191	+	0.826191i
$544$	−4.04427	−	0.802430i	−0.173397	−	0.0344039i
$545$	−10.1788	+	9.70270i	−0.436012	+	0.415618i
$546$	−0.0359330	+	0.0867498i	−0.00153779	+	0.00371255i
$547$	−3.45355	−	17.3622i	−0.147663	−	0.742352i	−0.981669	−	0.190596i	$-0.938958\pi$
$547$	−3.45355	−	17.3622i	−0.147663	−	0.742352i	0.834005	−	0.551756i	$-0.186042\pi$
$548$			14.4423i			0.616945i
$549$	5.40201	−	1.07453i	0.230552	−	0.0458597i
$550$	−1.71645	+	6.88761i	−0.0731897	+	0.293689i
$551$	1.42778	−	7.17795i	0.0608256	−	0.305791i
$552$	−1.83907	+	4.43992i	−0.0782762	+	0.188976i
$553$	0.976556	−	2.35762i	0.0415274	−	0.100256i
$554$	−4.00370	+	20.1280i	−0.170101	+	0.855155i
$555$	21.9647	+	4.91846i	0.932351	+	0.208777i
$556$	19.8060	−	3.93965i	0.839960	−	0.167078i
$557$		−	18.8677i		−	0.799448i	−0.916636	−	0.399724i	$-0.869106\pi$
$557$		−	18.8677i		−	0.799448i	0.916636	−	0.399724i	$-0.130894\pi$
$558$	0.598064	+	3.00667i	0.0253181	+	0.127282i
$559$	0.848923	−	2.04948i	0.0359056	−	0.0866838i
$560$	0.0129482	−	0.540714i	0.000547162	−	0.0228493i
$561$	8.89187	−	1.77316i	0.375415	−	0.0748627i
$562$	−16.4527	+	16.4527i	−0.694016	+	0.694016i
$563$	−7.07939	+	2.93238i	−0.298361	+	0.123585i	−0.526842	−	0.849963i	$-0.676624\pi$
$563$	−7.07939	+	2.93238i	−0.298361	+	0.123585i	0.228481	+	0.973548i	$0.426624\pi$
$564$	−13.1630	−	8.79525i	−0.554263	−	0.370347i
$565$	11.5754	−	11.0340i	0.486981	−	0.464203i
$566$	−3.33557	−	16.7691i	−0.140205	−	0.704856i
$567$	−1.62213	−	0.322661i	−0.0681230	−	0.0135505i
$568$	−0.821442	+	0.548870i	−0.0344669	+	0.0230301i
$569$	−12.8952	−	31.1318i	−0.540596	−	1.30511i	−0.924303	−	0.381660i	$-0.875353\pi$
$569$	−12.8952	−	31.1318i	−0.540596	−	1.30511i	0.383707	−	0.923455i	$-0.374647\pi$
$570$	19.0710	+	8.43988i	0.798797	+	0.353508i
$571$	−1.88068	−	0.374090i	−0.0787038	−	0.0156552i	0.155581	−	0.987823i	$-0.450275\pi$
$571$	−1.88068	−	0.374090i	−0.0787038	−	0.0156552i	−0.234285	+	0.972168i	$0.575275\pi$
$572$	0.0694081	−	0.348938i	0.00290210	−	0.0145898i
$573$	−11.8631	−	7.92664i	−0.495586	−	0.331140i
$574$	−0.150065	−	0.150065i	−0.00626360	−	0.00626360i
$575$	15.3416	−	2.29459i	0.639790	−	0.0956910i
$576$	−0.554854	−	0.229828i	−0.0231189	−	0.00957617i
$577$	9.67382	+	9.67382i	0.402726	+	0.402726i	0.879193	−	0.476466i	$-0.158083\pi$
$577$	9.67382	+	9.67382i	0.402726	+	0.402726i	−0.476466	+	0.879193i	$0.658083\pi$
$578$	12.0092	−	12.0324i	0.499518	−	0.500481i
$579$			14.5365i			0.604115i
$580$	−2.53522	+	0.979694i	−0.105269	+	0.0406796i
$581$	0.0256559	−	0.0383967i	0.00106438	−	0.00159296i
$582$	−14.6947			−0.609115
$583$	1.56058	−	2.33557i	0.0646325	−	0.0967293i
$584$	13.0293	−	8.70593i	0.539158	−	0.360254i
$585$	0.0735394	−	0.328410i	0.00304048	−	0.0135781i
$586$	29.3067	−	12.1392i	1.21065	−	0.501467i
$587$	−11.4820	−	4.75599i	−0.473912	−	0.196301i	0.132926	−	0.991126i	$-0.457563\pi$
$587$	−11.4820	−	4.75599i	−0.473912	−	0.196301i	−0.606839	+	0.794825i	$0.707563\pi$
$588$	5.97373	+	8.94033i	0.246353	+	0.368693i
$589$	−17.0750	−	25.5545i	−0.703563	−	1.05296i
$590$	−0.521313	−	2.99371i	−0.0214621	−	0.123249i
$591$	7.34191	−	7.34191i	0.302006	−	0.302006i
$592$	6.37360	−	1.26779i	0.261953	−	0.0521058i
$593$	11.4482	+	27.6385i	0.470122	+	1.13498i	0.964109	+	0.265507i	$0.0855392\pi$
$593$	11.4482	+	27.6385i	0.470122	+	1.13498i	−0.493987	+	0.869470i	$0.664461\pi$
$594$	7.91785			0.324874
$595$	1.82465	+	1.28211i	0.0748035	+	0.0525614i
$596$	−12.8303			−0.525549
$597$	14.9729	+	36.1478i	0.612801	+	1.47943i
$598$	−0.762556	+	0.151682i	−0.0311832	+	0.00620273i
$599$	−11.2916	+	11.2916i	−0.461360	+	0.461360i	−0.899101	−	0.437741i	$-0.855779\pi$
$599$	−11.2916	+	11.2916i	−0.461360	+	0.461360i	0.437741	+	0.899101i	$0.355779\pi$
$600$	−1.14565	−	7.65985i	−0.0467711	−	0.312712i
$601$	9.39260	+	14.0570i	0.383132	+	0.573398i	0.972044	−	0.234800i	$-0.0754434\pi$
$601$	9.39260	+	14.0570i	0.383132	+	0.573398i	−0.588912	+	0.808197i	$0.700443\pi$
$602$	1.18955	+	1.78029i	0.0484824	+	0.0725590i
$603$	6.03779	+	2.50093i	0.245878	+	0.101846i
$604$	−6.66259	+	2.75974i	−0.271097	+	0.112292i
$605$	10.7584	+	16.9668i	0.437391	+	0.689797i
$606$	−21.7748	+	14.5495i	−0.884542	+	0.591032i
$607$	24.2596	−	36.3070i	0.984666	−	1.47366i	0.107072	−	0.994251i	$-0.465852\pi$
$607$	24.2596	−	36.3070i	0.984666	−	1.47366i	0.877594	−	0.479405i	$-0.159148\pi$
$608$	6.02107			0.244186
$609$	−0.253019	+	0.378669i	−0.0102528	+	0.0153445i
$610$	18.7527	+	8.29902i	0.759276	+	0.336017i
$611$		−	2.56122i		−	0.103616i
$612$	2.05823	−	1.37670i	0.0831991	−	0.0556498i
$613$	14.2688	+	14.2688i	0.576311	+	0.576311i	0.933885	−	0.357574i	$-0.116396\pi$
$613$	14.2688	+	14.2688i	0.576311	+	0.576311i	−0.357574	+	0.933885i	$0.616396\pi$
$614$	13.0958	+	5.42445i	0.528503	+	0.218913i
$615$	−2.48567	−	1.74837i	−0.100232	−	0.0705012i
$616$	0.242814	+	0.242814i	0.00978326	+	0.00978326i
$617$	−14.3887	−	9.61423i	−0.579268	−	0.387054i	0.231140	−	0.972921i	$-0.425754\pi$
$617$	−14.3887	−	9.61423i	−0.579268	−	0.387054i	−0.810408	+	0.585866i	$0.800754\pi$
$618$	−1.17710	+	5.91770i	−0.0473501	+	0.238045i
$619$	−1.23501	−	0.245658i	−0.0496392	−	0.00987384i	0.170208	−	0.985408i	$-0.445556\pi$
$619$	−1.23501	−	0.245658i	−0.0496392	−	0.00987384i	−0.219847	+	0.975534i	$0.570556\pi$
$620$	−4.61910	+	10.4375i	−0.185507	+	0.419179i
$621$	−6.62172	−	15.9862i	−0.265720	−	0.641506i
$622$	24.8291	−	16.5903i	0.995556	−	0.665209i
$623$	1.73774	+	0.345659i	0.0696212	+	0.0138485i
$624$	0.0757325	+	0.380733i	0.00303172	+	0.0152415i
$625$	−19.2870	+	15.9063i	−0.771481	+	0.636252i
$626$	0.788463	+	0.526834i	0.0315133	+	0.0210565i
$627$	−12.2328	+	5.06698i	−0.488530	+	0.202356i
$628$	−17.6612	+	17.6612i	−0.704759	+	0.704759i
$629$	−10.2416	+	24.7592i	−0.408361	+	0.987216i
$630$	0.224124	+	0.235122i	0.00892933	+	0.00936748i
$631$	−3.78090	+	9.12791i	−0.150515	+	0.363376i	−0.981096	−	0.193522i	$-0.938009\pi$
$631$	−3.78090	+	9.12791i	−0.150515	+	0.363376i	0.830580	+	0.556899i	$0.188009\pi$
$632$	−2.05819	−	10.3472i	−0.0818706	−	0.411591i
$633$		−	31.8641i		−	1.26649i
$634$	9.03747	−	1.79766i	0.358924	−	0.0713943i
$635$	18.7827	+	29.6217i	0.745368	+	1.17550i
$636$	−0.597935	+	3.00602i	−0.0237096	+	0.119196i
$637$	−0.665710	+	1.60716i	−0.0263764	+	0.0636782i
$638$	0.660351	−	1.59423i	0.0261435	−	0.0631161i
$639$	0.115752	−	0.581926i	0.00457909	−	0.0230206i
$640$	−1.19743	−	1.88843i	−0.0473325	−	0.0746467i
$641$	−21.2165	+	4.22022i	−0.838001	+	0.166689i	−0.595392	−	0.803435i	$-0.703003\pi$
$641$	−21.2165	+	4.22022i	−0.838001	+	0.166689i	−0.242609	+	0.970124i	$0.578003\pi$
$642$		−	1.53799i		−	0.0606995i
$643$	8.79438	+	44.2123i	0.346816	+	1.74356i	0.622781	+	0.782396i	$0.286003\pi$
$643$	8.79438	+	44.2123i	0.346816	+	1.74356i	−0.275965	+	0.961168i	$0.588997\pi$
$644$	0.287179	−	0.693311i	0.0113164	−	0.0273203i
$645$	21.1548	+	22.1929i	0.832971	+	0.873843i
$646$	−13.7824	+	20.6483i	−0.542260	+	0.812396i
$647$	3.89261	−	3.89261i	0.153034	−	0.153034i	−0.626438	−	0.779472i	$-0.715488\pi$
$647$	3.89261	−	3.89261i	0.153034	−	0.153034i	0.779472	+	0.626438i	$0.215488\pi$
$648$	−6.31713	+	2.61664i	−0.248160	+	0.102791i
$649$	1.60413	+	1.07185i	0.0629676	+	0.0420736i
$650$	0.927422	−	0.842602i	0.0363765	−	0.0330496i
$651$	0.373117	+	1.87579i	0.0146236	+	0.0735179i
$652$	6.68273	+	1.32928i	0.261716	+	0.0520586i
$653$	−22.7903	+	15.2280i	−0.891854	+	0.595918i	−0.914839	−	0.403818i	$-0.867683\pi$
$653$	−22.7903	+	15.2280i	−0.891854	+	0.595918i	0.0229854	+	0.999736i	$0.492683\pi$
$654$	3.72793	+	9.00001i	0.145773	+	0.351928i
$655$	−5.28957	+	11.9525i	−0.206681	+	0.467023i
$656$	−0.860522	−	0.171169i	−0.0335977	−	0.00668301i
$657$	−1.83601	+	9.23025i	−0.0716296	+	0.360106i
$658$	2.05546	+	1.37341i	0.0801300	+	0.0535412i
$659$	1.15499	+	1.15499i	0.0449919	+	0.0449919i	0.729245	−	0.684253i	$-0.239872\pi$
$659$	1.15499	+	1.15499i	0.0449919	+	0.0449919i	−0.684253	+	0.729245i	$0.739872\pi$
$660$	4.02196	+	2.82897i	0.156555	+	0.110117i
$661$	−19.9073	−	8.24587i	−0.774303	−	0.320727i	−0.0396893	−	0.999212i	$-0.512637\pi$
$661$	−19.9073	−	8.24587i	−0.774303	−	0.320727i	−0.734614	+	0.678485i	$0.762637\pi$
$662$	10.7162	+	10.7162i	0.416497	+	0.416497i
$663$	−1.47902	−	0.611794i	−0.0574402	−	0.0237601i
$664$		−	0.190915i		−	0.00740895i
$665$	−2.97801	−	1.31792i	−0.115482	−	0.0511067i
$666$	−2.16827	+	3.24504i	−0.0840187	+	0.125743i
$667$	−3.77102			−0.146014
$668$	−9.29257	+	13.9073i	−0.359540	+	0.538090i
$669$	5.91290	−	3.95087i	0.228606	−	0.152749i
$670$	13.0301	+	20.5494i	0.503398	+	0.793894i
$671$	−12.0286	+	4.98242i	−0.464360	+	0.192344i
$672$	−0.346160	−	0.143384i	−0.0133534	−	0.00553116i
$673$	−23.3052	−	34.8788i	−0.898351	−	1.34448i	−0.938498	−	0.345284i	$-0.887783\pi$
$673$	−23.3052	−	34.8788i	−0.898351	−	1.34448i	0.0401469	−	0.999194i	$-0.487217\pi$
$674$	8.53393	+	12.7719i	0.328715	+	0.491956i
$675$	22.4187	+	16.5850i	0.862896	+	0.638359i
$676$	9.14798	−	9.14798i	0.351845	−	0.351845i
$677$	−11.8494	+	2.35700i	−0.455411	+	0.0905869i	−0.417465	−	0.908693i	$-0.637081\pi$
$677$	−11.8494	+	2.35700i	−0.455411	+	0.0905869i	−0.0379458	+	0.999280i	$0.512081\pi$
$678$	−4.23942	−	10.2349i	−0.162814	−	0.393068i
$679$	2.29464			0.0880600
$680$	9.21701	+	0.216273i	0.353456	+	0.00829370i
$681$	−29.2242			−1.11987
$682$	−2.77313	−	6.69493i	−0.106189	−	0.256362i
$683$	−22.9053	+	4.55614i	−0.876446	+	0.174336i	−0.612757	−	0.790272i	$-0.709939\pi$
$683$	−22.9053	+	4.55614i	−0.876446	+	0.174336i	−0.263689	+	0.964608i	$0.584939\pi$
$684$	−2.55695	+	2.55695i	−0.0977673	+	0.0977673i
$685$	−5.54019	−	31.8152i	−0.211680	−	1.21560i
$686$	−1.87351	−	2.80390i	−0.0715308	−	0.107053i
$687$	17.6575	+	26.4262i	0.673674	+	1.00822i
$688$	8.17809	+	3.38747i	0.311787	+	0.129146i
$689$	−0.458112	+	0.189756i	−0.0174527	+	0.00722913i
$690$	2.34814	−	10.4863i	0.0893922	−	0.399205i
$691$	−23.0135	+	15.3771i	−0.875474	+	0.584973i	−0.910082	−	0.414428i	$-0.863982\pi$
$691$	−23.0135	+	15.3771i	−0.875474	+	0.584973i	0.0346081	+	0.999401i	$0.488982\pi$
$692$	6.12999	−	9.17418i	0.233027	−	0.348750i
$693$	−0.206230			−0.00783404
$694$	11.6216	−	17.3930i	0.441152	−	0.660230i
$695$	−42.1196	+	16.2764i	−1.59769	+	0.617401i
$696$			1.88281i			0.0713678i
$697$	2.55675	−	2.55921i	0.0968438	−	0.0969372i
$698$	1.93577	+	1.93577i	0.0732701	+	0.0732701i
$699$	−15.5432	−	6.43819i	−0.587896	−	0.243515i
$700$	0.178898	+	1.19611i	0.00676172	+	0.0452089i
$701$	4.84755	+	4.84755i	0.183089	+	0.183089i	0.792701	−	0.609611i	$-0.208674\pi$
$701$	4.84755	+	4.84755i	0.183089	+	0.183089i	−0.609611	+	0.792701i	$0.708674\pi$
$702$	−1.16215	−	0.776527i	−0.0438627	−	0.0293081i
$703$	7.63343	−	38.3759i	0.287900	−	1.44737i
$704$	1.39237	+	0.276961i	0.0524771	+	0.0104383i
$705$	32.3710	+	14.3258i	1.21916	+	0.539539i
$706$	−3.89714	−	9.40854i	−0.146671	−	0.354095i
$707$	3.40022	−	2.27196i	0.127879	−	0.0854457i
$708$	−2.06462	−	0.410678i	−0.0775930	−	0.0154342i
$709$	8.65704	+	43.5219i	0.325122	+	1.63450i	0.704818	+	0.709388i	$0.251028\pi$
$709$	8.65704	+	43.5219i	0.325122	+	1.63450i	−0.379696	+	0.925111i	$0.623972\pi$
$710$	1.59902	−	1.52423i	0.0600101	−	0.0572032i
$711$	5.26818	+	3.52008i	0.197572	+	0.132013i
$712$	6.76738	−	2.80314i	0.253618	−	0.105052i
$713$	−11.1980	+	11.1980i	−0.419367	+	0.419367i
$714$	1.28408	−	0.858890i	0.0480555	−	0.0321431i
$715$	−0.0190449	+	0.795307i	−0.000712238	+	0.0297428i
$716$	−5.73630	+	13.8487i	−0.214376	+	0.517548i
$717$	2.12194	+	10.6677i	0.0792454	+	0.398394i
$718$		−	22.0101i		−	0.821411i
$719$	−45.6966	+	9.08963i	−1.70420	+	0.338986i	−0.948703	−	0.316169i	$-0.897603\pi$
$719$	−45.6966	+	9.08963i	−1.70420	+	0.338986i	−0.755494	+	0.655155i	$0.772603\pi$
$720$	1.31046	+	0.293446i	0.0488380	+	0.0109361i
$721$	0.183809	−	0.924072i	0.00684542	−	0.0344142i
$722$	6.60252	−	15.9399i	0.245721	−	0.593222i
$723$	−10.0029	+	24.1493i	−0.372014	+	0.898121i
$724$	3.42908	−	17.2391i	0.127441	−	0.640687i
$725$	5.20906	−	3.13072i	0.193460	−	0.116272i
$726$	13.6498	−	2.71511i	0.506591	−	0.100767i
$727$		−	43.0062i		−	1.59501i	−0.603311	−	0.797506i	$-0.706152\pi$
$727$		−	43.0062i		−	1.59501i	0.603311	−	0.797506i	$-0.293848\pi$
$728$	−0.0118259	−	0.0594529i	−0.000438298	−	0.00220347i
$729$	11.4898	−	27.7389i	0.425550	−	1.02737i
$730$	−25.3629	+	24.1766i	−0.938723	+	0.894816i
$731$	−30.3366	+	20.2914i	−1.12204	+	0.750506i
$732$	10.0452	−	10.0452i	0.371280	−	0.371280i
$733$	−26.0810	+	10.8031i	−0.963325	+	0.399022i	−0.808223	−	0.588876i	$-0.799571\pi$
$733$	−26.0810	+	10.8031i	−0.963325	+	0.399022i	−0.155102	+	0.987898i	$0.549571\pi$
$734$	1.58128	+	1.05658i	0.0583661	+	0.0389990i
$735$	−16.5892	−	17.4032i	−0.611903	−	0.641928i
$736$	−0.605259	−	3.04284i	−0.0223101	−	0.112161i
$737$	−15.1515	−	3.01382i	−0.558112	−	0.111015i
$738$	0.438125	−	0.292746i	0.0161276	−	0.0107761i
$739$	−2.98911	−	7.21635i	−0.109956	−	0.265458i	0.859317	−	0.511443i	$-0.170889\pi$
$739$	−2.98911	−	7.21635i	−0.109956	−	0.265458i	−0.969274	+	0.245985i	$0.920889\pi$
$740$	−13.5542	+	5.23780i	−0.498262	+	0.192545i
$741$	2.29242	+	0.455990i	0.0842140	+	0.0167512i
$742$	0.0933698	−	0.469402i	0.00342771	−	0.0172323i
$743$	2.95821	+	1.97661i	0.108526	+	0.0725149i	0.608649	−	0.793440i	$-0.291712\pi$
$743$	2.95821	+	1.97661i	0.108526	+	0.0725149i	−0.500123	+	0.865955i	$0.666712\pi$
$744$	5.59097	+	5.59097i	0.204975	+	0.204975i
$745$	28.2641	−	4.92181i	1.03552	−	0.180321i
$746$	−5.23997	−	2.17046i	−0.191849	−	0.0794664i
$747$	0.0810754	+	0.0810754i	0.00296639	+	0.00296639i
$748$	−4.13697	+	4.14096i	−0.151263	+	0.151408i
$749$			0.240163i			0.00877536i
$750$	5.46216	+	16.4345i	0.199450	+	0.600104i
$751$	7.02525	−	10.5140i	0.256355	−	0.383663i	−0.680860	−	0.732413i	$-0.738394\pi$
$751$	7.02525	−	10.5140i	0.256355	−	0.383663i	0.937216	+	0.348751i	$0.113394\pi$
$752$	10.2201			0.372689
$753$	23.7677	−	35.5709i	0.866145	−	1.29628i
$754$	−0.253275	+	0.169233i	−0.00922371	+	0.00616309i
$755$	13.6185	−	8.63530i	0.495627	−	0.314271i
$756$	1.24637	−	0.516264i	0.0453301	−	0.0187763i
$757$	15.2559	+	6.31920i	0.554485	+	0.229675i	0.642289	−	0.766463i	$-0.277985\pi$
$757$	15.2559	+	6.31920i	0.554485	+	0.229675i	−0.0878041	+	0.996138i	$0.527985\pi$
$758$	1.07474	+	1.60847i	0.0390365	+	0.0584222i
$759$	3.79036	+	5.67268i	0.137581	+	0.205905i
$760$	−13.2639	+	2.30973i	−0.481133	+	0.0837827i
$761$	4.49157	−	4.49157i	0.162819	−	0.162819i	−0.620995	−	0.783814i	$-0.713271\pi$
$761$	4.49157	−	4.49157i	0.162819	−	0.162819i	0.783814	+	0.620995i	$0.213271\pi$
$762$	23.8307	−	4.74022i	0.863295	−	0.171720i
$763$	−0.582130	−	1.40539i	−0.0210745	−	0.0508784i
$764$	9.21078			0.333234
$765$	−4.00600	+	3.82231i	−0.144837	+	0.138196i
$766$	28.4783			1.02896
$767$	−0.130330	−	0.314644i	−0.00470593	−	0.0113611i
$768$	−1.51925	+	0.302197i	−0.0548211	+	0.0109046i
$769$	−10.8129	+	10.8129i	−0.389923	+	0.389923i	−0.874660	−	0.484737i	$-0.838915\pi$
$769$	−10.8129	+	10.8129i	−0.389923	+	0.389923i	0.484737	+	0.874660i	$0.338915\pi$
$770$	−0.628045	−	0.441754i	−0.0226332	−	0.0159197i
$771$	−0.688003	−	1.02967i	−0.0247778	−	0.0370827i
$772$	−5.21367	−	7.80281i	−0.187644	−	0.280829i
$773$	−6.03868	−	2.50130i	−0.217196	−	0.0899656i	0.271432	−	0.962458i	$-0.412503\pi$
$773$	−6.03868	−	2.50130i	−0.217196	−	0.0899656i	−0.488629	+	0.872492i	$0.662503\pi$
$774$	−4.91151	+	2.03441i	−0.176541	+	0.0731255i
$775$	6.17159	−	24.7648i	0.221690	−	0.889578i
$776$	7.88775	−	5.27043i	0.283154	−	0.189197i
$777$	−1.35273	+	2.02450i	−0.0485289	+	0.0726286i
$778$	−25.0802			−0.899169
$779$	−2.93495	+	4.39246i	−0.105155	+	0.157376i
$780$	−0.312885	−	0.809671i	−0.0112031	−	0.0289909i
$781$			1.40253i			0.0501865i
$782$	11.8204	+	4.88950i	0.422696	+	0.174848i
$783$	−4.79362	−	4.79362i	−0.171310	−	0.171310i
$784$	−6.41310	−	2.65639i	−0.229039	−	0.0948712i
$785$	32.1312	−	45.6812i	1.14681	−	1.63043i
$786$	6.40252	+	6.40252i	0.228370	+	0.228370i
$787$	4.21424	+	2.81586i	0.150221	+	0.100375i	0.628409	−	0.777883i	$-0.283706\pi$
$787$	4.21424	+	2.81586i	0.150221	+	0.100375i	−0.478188	+	0.878257i	$0.658706\pi$
$788$	−1.30769	+	6.57422i	−0.0465846	+	0.234197i
$789$	−11.3421	−	2.25609i	−0.403790	−	0.0803188i
$790$	8.50332	+	22.0046i	0.302534	+	0.782888i
$791$	0.662002	+	1.59822i	0.0235381	+	0.0568260i
$792$	−0.708911	+	0.473679i	−0.0251901	+	0.0168315i
$793$	2.25416	+	0.448380i	0.0800475	+	0.0159224i
$794$	0.897961	+	4.51435i	0.0318674	+	0.160208i
$795$	0.164067	−	6.85139i	0.00581886	−	0.242994i
$796$	−21.0019	−	14.0330i	−0.744394	−	0.497388i
$797$	6.65852	−	2.75805i	0.235857	−	0.0976951i	−0.261625	−	0.965170i	$-0.584258\pi$
$797$	6.65852	−	2.75805i	0.235857	−	0.0976951i	0.497482	+	0.867475i	$0.334258\pi$
$798$	−1.59522	+	1.59522i	−0.0564700	+	0.0564700i
$799$	−23.3940	+	35.0482i	−0.827622	+	1.23992i
$800$	3.36225	+	3.70071i	0.118874	+	0.130840i
$801$	−1.68348	+	4.06428i	−0.0594828	+	0.143604i
$802$	−7.16626	−	36.0272i	−0.253049	−	1.27216i
$803$		−	22.2463i		−	0.785056i
$804$	16.5321	−	3.28843i	0.583041	−	0.115974i
$805$	−0.366671	+	1.63747i	−0.0129235	+	0.0577132i
$806$	−0.249561	+	1.25463i	−0.00879040	+	0.0441923i
$807$	12.2939	−	29.6801i	0.432765	−	1.04479i
$808$	6.46985	−	15.6196i	0.227608	−	0.549495i
$809$	−0.369390	+	1.85705i	−0.0129871	+	0.0652904i	−0.986735	−	0.162337i	$-0.948097\pi$
$809$	−0.369390	+	1.85705i	−0.0129871	+	0.0652904i	0.973748	+	0.227627i	$0.0730968\pi$
$810$	12.9123	−	8.18754i	0.453693	−	0.287681i
$811$	19.7489	−	3.92829i	0.693476	−	0.137941i	0.164246	−	0.986419i	$-0.447481\pi$
$811$	19.7489	−	3.92829i	0.693476	−	0.137941i	0.529230	+	0.848478i	$0.322481\pi$
$812$		−	0.294008i		−	0.0103177i
$813$	−6.25074	−	31.4246i	−0.219223	−	1.10211i
$814$	3.53047	−	8.52331i	0.123743	−	0.298742i
$815$	−15.2314	−	0.364740i	−0.533534	−	0.0127763i
$816$	2.44125	−	5.90175i	0.0854610	−	0.206602i
$817$	37.6873	−	37.6873i	1.31851	−	1.31851i
$818$	34.6925	−	14.3701i	1.21299	−	0.502439i
$819$	0.0302697	+	0.0202256i	0.00105771	+	0.000706740i
$820$	1.96132	+	0.0469669i	0.0684923	+	0.00164015i
$821$	−1.61477	−	8.11799i	−0.0563558	−	0.283320i	0.942323	−	0.334705i	$-0.108637\pi$
$821$	−1.61477	−	8.11799i	−0.0563558	−	0.283320i	−0.998679	+	0.0513847i	$0.983637\pi$
$822$	−21.9414	−	4.36442i	−0.765295	−	0.152227i
$823$	−0.0322708	+	0.0215627i	−0.00112489	+	0.000751627i	−0.556133	−	0.831094i	$-0.687715\pi$
$823$	−0.0322708	+	0.0215627i	−0.00112489	+	0.000751627i	0.555008	+	0.831845i	$0.312715\pi$
$824$	−1.49061	−	3.59866i	−0.0519279	−	0.125365i
$825$	−9.94527	−	4.68912i	−0.346250	−	0.163254i
$826$	0.322398	+	0.0641289i	0.0112177	+	0.00223133i
$827$	−10.1422	+	50.9885i	−0.352680	+	1.77304i	0.243207	+	0.969974i	$0.421801\pi$
$827$	−10.1422	+	50.9885i	−0.352680	+	1.77304i	−0.595887	+	0.803068i	$0.703199\pi$
$828$	1.54923	+	1.03516i	0.0538394	+	0.0359743i
$829$	−0.678814	−	0.678814i	−0.0235762	−	0.0235762i	0.695220	−	0.718797i	$-0.255307\pi$
$829$	−0.678814	−	0.678814i	−0.0235762	−	0.0235762i	−0.718797	+	0.695220i	$0.755307\pi$
$830$	0.0732366	+	0.420571i	0.00254208	+	0.0145982i
$831$	−29.3694	−	12.1652i	−1.01881	−	0.422006i
$832$	−0.177206	−	0.177206i	−0.00614350	−	0.00614350i
$833$	23.7894	−	15.9122i	0.824255	−	0.551324i
$834$			31.2807i			1.08316i
$835$	15.1358	−	34.2014i	0.523796	−	1.18359i
$836$	4.74892	−	7.10726i	0.164245	−	0.245810i
$837$	−28.4691			−0.984036
$838$	−14.3243	+	21.4378i	−0.494824	+	0.740557i
$839$	−24.5010	+	16.3711i	−0.845870	+	0.565192i	−0.901263	−	0.433273i	$-0.857359\pi$
$839$	−24.5010	+	16.3711i	−0.845870	+	0.565192i	0.0553933	+	0.998465i	$0.482359\pi$
$840$	0.817564	+	0.183073i	0.0282086	+	0.00631664i
$841$	25.4275	−	10.5324i	0.876812	−	0.363187i
$842$	−4.75190	−	1.96830i	−0.163761	−	0.0678321i
$843$	−20.0238	−	29.9677i	−0.689655	−	1.03214i
$844$	11.4284	+	17.1039i	0.393383	+	0.588739i
$845$	−16.6430	+	23.6615i	−0.572537	+	0.813980i
$846$	−4.34013	+	4.34013i	−0.149217	+	0.149217i
$847$	−2.13147	+	0.423975i	−0.0732381	+	0.0145680i
$848$	−0.757188	−	1.82801i	−0.0260019	−	0.0627742i
$849$	26.4843			0.908940
$850$	−20.3873	+	3.05929i	−0.699278	+	0.104933i
$851$	−20.1612			−0.691117
$852$	−0.585631	−	1.41384i	−0.0200634	−	0.0484373i
$853$	12.7168	−	2.52953i	0.435414	−	0.0866093i	0.0274838	−	0.999622i	$-0.491251\pi$
$853$	12.7168	−	2.52953i	0.435414	−	0.0866093i	0.407931	+	0.913013i	$0.366251\pi$
$854$	−1.56859	+	1.56859i	−0.0536761	+	0.0536761i
$855$	4.65188	−	6.61361i	0.159091	−	0.226181i
$856$	0.551617	+	0.825553i	0.0188539	+	0.0282168i
$857$	14.5080	+	21.7128i	0.495584	+	0.741694i	0.991979	−	0.126403i	$-0.0403432\pi$
$857$	14.5080	+	21.7128i	0.495584	+	0.741694i	−0.496395	+	0.868097i	$0.665343\pi$
$858$	0.509148	+	0.210896i	0.0173820	+	0.00719987i
$859$	39.8276	−	16.4971i	1.35890	−	0.562874i	0.420143	−	0.907458i	$-0.361980\pi$
$859$	39.8276	−	16.4971i	1.35890	−	0.562874i	0.938756	+	0.344583i	$0.111980\pi$
$860$	−19.3151	−	4.32515i	−0.658640	−	0.147486i
$861$	0.273335	−	0.182637i	0.00931524	−	0.00622424i
$862$	2.44173	−	3.65430i	0.0831655	−	0.124466i
$863$	23.8428			0.811618			0.405809	−	0.913958i	$-0.366990\pi$
$863$	23.8428			0.811618			0.405809	+	0.913958i	$0.366990\pi$
$864$	3.09859	−	4.63737i	0.105416	−	0.157767i
$865$	−9.98458	+	22.5615i	−0.339486	+	0.767113i
$866$		−	23.2276i		−	0.789305i
$867$	14.6510	+	21.8811i	0.497574	+	0.743122i
$868$	−0.873052	−	0.873052i	−0.0296333	−	0.0296333i
$869$	−13.8372	−	5.73156i	−0.469395	−	0.194430i
$870$	−0.722262	−	4.14768i	−0.0244870	−	0.140620i
$871$	1.92831	+	1.92831i	0.0653382	+	0.0653382i
$872$	−5.22902	−	3.49392i	−0.177077	−	0.118319i
$873$	−1.11149	+	5.58784i	−0.0376183	+	0.189120i
$874$	−18.3212	−	3.64430i	−0.619722	−	0.123270i
$875$	−0.852937	−	2.56631i	−0.0288345	−	0.0867573i
$876$	9.28902	+	22.4257i	0.313847	+	0.757694i
$877$	19.6574	−	13.1347i	0.663785	−	0.443527i	−0.177499	−	0.984121i	$-0.556801\pi$
$877$	19.6574	−	13.1347i	0.663785	−	0.443527i	0.841283	+	0.540594i	$0.181801\pi$
$878$	−9.16636	−	1.82330i	−0.309350	−	0.0615335i
$879$	9.58609	+	48.1925i	0.323331	+	1.62549i
$880$	−3.17353	−	0.0759951i	−0.106980	−	0.00256179i
$881$	2.09659	+	1.40090i	0.0706359	+	0.0471974i	0.590387	−	0.807120i	$-0.298975\pi$
$881$	2.09659	+	1.40090i	0.0706359	+	0.0471974i	−0.519751	+	0.854318i	$0.673975\pi$
$882$	3.85151	−	1.59535i	0.129687	−	0.0537182i
$883$	−14.0335	+	14.0335i	−0.472267	+	0.472267i	−0.902647	−	0.430381i	$-0.858379\pi$
$883$	−14.0335	+	14.0335i	−0.472267	+	0.472267i	0.430381	+	0.902647i	$0.358379\pi$
$884$	1.01333	−	0.202070i	0.0340818	−	0.00679636i
$885$	4.70572	+	0.112686i	0.158181	+	0.00378789i
$886$	−0.368042	+	0.888533i	−0.0123646	+	0.0298508i
$887$	2.53061	+	12.7222i	0.0849697	+	0.427171i	0.999731	+	0.0231775i	$0.00737828\pi$
$887$	2.53061	+	12.7222i	0.0849697	+	0.427171i	−0.914762	+	0.403994i	$0.867622\pi$
$888$			10.0662i			0.337799i
$889$	−3.72125	+	0.740203i	−0.124807	+	0.0248256i
$890$	−13.8327	+	8.77110i	−0.463672	+	0.294008i
$891$	−1.89375	+	9.52051i	−0.0634429	+	0.318949i
$892$	−1.75687	+	4.24146i	−0.0588243	+	0.142014i
$893$	23.5488	−	56.8517i	0.788029	−	1.90247i
$894$	3.87727	−	19.4924i	0.129675	−	0.651923i
$895$	7.32414	−	32.7079i	0.244819	−	1.09331i
$896$	0.237236	−	0.0471892i	0.00792550	−	0.00157648i
$897$		−	1.20435i		−	0.0402120i
$898$	0.232256	+	1.16763i	0.00775049	+	0.0389644i
$899$	−2.37433	+	5.73214i	−0.0791883	+	0.191178i
$900$	−2.99941	−	0.143733i	−0.0999802	−	0.00479111i
$901$	8.00210	+	1.58771i	0.266588	+	0.0528943i
$902$	−0.880756	+	0.880756i	−0.0293260	+	0.0293260i
$903$	−3.06417	+	1.26922i	−0.101969	+	0.0422370i
$904$	5.94647	+	3.97331i	0.197777	+	0.132150i
$905$	−0.940903	+	39.2918i	−0.0312767	+	1.30610i
$906$	−2.17930	−	10.9561i	−0.0724025	−	0.363992i
$907$	−2.58672	−	0.514531i	−0.0858907	−	0.0170847i	0.151958	−	0.988387i	$-0.451442\pi$
$907$	−2.58672	−	0.514531i	−0.0858907	−	0.0170847i	−0.237849	+	0.971302i	$0.576442\pi$
$908$	15.6868	−	10.4816i	0.520586	−	0.347844i
$909$	3.88559	+	9.38065i	0.128877	+	0.311136i
$910$	0.0488581	+	0.126433i	0.00161963	+	0.00419122i
$911$	56.7789	+	11.2940i	1.88117	+	0.374188i	0.995867	−	0.0908286i	$-0.0289516\pi$
$911$	56.7789	+	11.2940i	1.88117	+	0.374188i	0.885302	+	0.465016i	$0.153952\pi$
$912$	−1.81955	+	9.14748i	−0.0602512	+	0.302903i
$913$	−0.225356	−	0.150578i	−0.00745820	−	0.00498341i
$914$	12.6356	+	12.6356i	0.417950	+	0.417950i
$915$	−18.2753	+	25.9821i	−0.604162	+	0.858941i
$916$	−18.9562	−	7.85190i	−0.626329	−	0.259434i
$917$	−0.999779	−	0.999779i	−0.0330156	−	0.0330156i
$918$	8.81037	+	21.2412i	0.290786	+	0.701063i
$919$		−	38.7156i		−	1.27711i	−0.769576	−	0.638556i	$-0.779532\pi$
$919$		−	38.7156i		−	1.27711i	0.769576	−	0.638556i	$-0.220468\pi$
$920$	2.50059	+	6.47095i	0.0824422	+	0.213341i
$921$	−12.1986	+	18.2565i	−0.401957	+	0.601571i
$922$	−5.10872			−0.168247
$923$	0.137550	−	0.205859i	0.00452752	−	0.00677592i
$924$	−0.442272	+	0.295517i	−0.0145497	+	0.00972179i
$925$	27.8495	−	16.7379i	0.915685	−	0.550340i
$926$	−28.1905	+	11.6769i	−0.926398	+	0.383727i
$927$	2.16124	+	0.895216i	0.0709845	+	0.0294028i
$928$	−0.675292	−	1.01065i	−0.0221676	−	0.0331761i
$929$	7.38689	+	11.0553i	0.242356	+	0.362711i	0.932628	−	0.360838i	$-0.117509\pi$
$929$	7.38689	+	11.0553i	0.242356	+	0.362711i	−0.690272	+	0.723550i	$0.742509\pi$
$930$	−14.4612	−	10.1717i	−0.474201	−	0.333544i
$931$	−29.5537	+	29.5537i	−0.968582	+	0.968582i
$932$	10.6523	−	2.11888i	0.348928	−	0.0694061i
$933$	17.7014	+	42.7350i	0.579519	+	1.39908i
$934$	11.8903			0.389063
$935$	7.52490	−	10.7092i	0.246091	−	0.350227i
$936$	0.150507			0.00491946
$937$	3.11305	+	7.51556i	0.101699	+	0.245523i	0.966537	−	0.256529i	$-0.0825788\pi$
$937$	3.11305	+	7.51556i	0.101699	+	0.245523i	−0.864838	+	0.502051i	$0.832579\pi$
$938$	−2.58155	+	0.513502i	−0.0842905	+	0.0167664i
$939$	−1.03866	+	1.03866i	−0.0338954	+	0.0338954i
$940$	−22.5140	+	3.92051i	−0.734327	+	0.127873i
$941$	6.66132	+	9.96938i	0.217153	+	0.324992i	0.924013	−	0.382361i	$-0.124889\pi$
$941$	6.66132	+	9.96938i	0.217153	+	0.324992i	−0.706860	+	0.707353i	$0.749889\pi$
$942$	−21.4946	−	32.1689i	−0.700331	−	1.04812i
$943$	2.51483	+	1.04168i	0.0818942	+	0.0339217i
$944$	1.25553	−	0.520057i	0.0408640	−	0.0169264i
$945$	−2.54761	+	1.61540i	−0.0828738	+	0.0525491i
$946$	10.4488	−	6.98164i	0.339719	−	0.226993i
$947$	17.5643	−	26.2868i	0.570763	−	0.854207i	−0.428008	−	0.903775i	$-0.640784\pi$
$947$	17.5643	−	26.2868i	0.570763	−	0.854207i	0.998771	+	0.0495681i	$0.0157845\pi$
$948$	16.3420			0.530763
$949$	−2.18176	+	3.26524i	−0.0708230	+	0.105994i
$950$	28.3333	−	10.1763i	0.919253	−	0.330162i
$951$			14.2734i			0.462846i
$952$	−0.381211	+	0.921580i	−0.0123551	+	0.0298686i
$953$	−35.4000	−	35.4000i	−1.14672	−	1.14672i	−0.987194	−	0.159524i	$-0.949004\pi$
$953$	−35.4000	−	35.4000i	−1.14672	−	1.14672i	−0.159524	−	0.987194i	$-0.550996\pi$
$954$	1.09785	+	0.454744i	0.0355442	+	0.0147229i
$955$	−20.2906	+	3.53333i	−0.656588	+	0.114336i
$956$	−4.96511	−	4.96511i	−0.160583	−	0.160583i
$957$	2.22247	+	1.48501i	0.0718422	+	0.0480034i
$958$	0.812508	−	4.08476i	0.0262510	−	0.131972i
$959$	3.42624	+	0.681521i	0.110639	+	0.0220075i
$960$	3.23085	−	1.24851i	0.104275	−	0.0402955i
$961$	−1.89224	−	4.56827i	−0.0610399	−	0.147363i
$962$	−1.35410	+	0.904778i	−0.0436578	+	0.0291712i
$963$	−0.584839	−	0.116332i	−0.0188462	−	0.00374873i
$964$	−3.29208	−	16.5504i	−0.106031	−	0.533052i
$965$	14.4785	+	15.1889i	0.466080	+	0.488950i
$966$	0.966525	+	0.645811i	0.0310974	+	0.0207786i
$967$	−6.17012	+	2.55575i	−0.198418	+	0.0821873i	−0.479680	−	0.877444i	$-0.659247\pi$
$967$	−6.17012	+	2.55575i	−0.198418	+	0.0821873i	0.281262	+	0.959631i	$0.409247\pi$
$968$	−6.35306	+	6.35306i	−0.204195	+	0.204195i
$969$	−27.2048	−	27.1786i	−0.873945	−	0.873103i
$970$	−15.3543	+	14.6361i	−0.492997	+	0.469938i
$971$	−0.716696	+	1.73026i	−0.0229999	+	0.0555266i	−0.934962	−	0.354747i	$-0.884567\pi$
$971$	−0.716696	+	1.73026i	−0.0229999	+	0.0555266i	0.911962	+	0.410274i	$0.134567\pi$
$972$	1.19794	+	6.02244i	0.0384239	+	0.193170i
$973$		−	4.88460i		−	0.156593i
$974$	−9.97377	+	1.98391i	−0.319580	+	0.0635685i
$975$	0.999855	+	1.66361i	0.0320210	+	0.0532783i
$976$	−1.78918	+	8.99481i	−0.0572702	+	0.287917i
$977$	7.94869	−	19.1898i	0.254301	−	0.613938i	−0.744241	−	0.667911i	$-0.767189\pi$
$977$	7.94869	−	19.1898i	0.254301	−	0.613938i	0.998542	+	0.0539735i	$0.0171887\pi$
$978$	−4.03900	+	9.75101i	−0.129153	+	0.311803i
$979$	2.02872	−	10.1991i	0.0648383	−	0.325964i
$980$	15.1465	+	3.39170i	0.483839	+	0.108344i
$981$	3.70434	−	0.736839i	0.118270	−	0.0235255i
$982$			10.0839i			0.321789i
$983$	−2.00524	−	10.0810i	−0.0639571	−	0.321534i	0.935541	−	0.353219i	$-0.114913\pi$
$983$	−2.00524	−	10.0810i	−0.0639571	−	0.321534i	−0.999498	+	0.0316845i	$0.989913\pi$
$984$	0.520094	−	1.25562i	0.0165800	−	0.0400276i
$985$	0.358817	−	14.9841i	0.0114329	−	0.477433i
$986$	5.01161	−	0.00241404i	0.159602	−	7.68786e-5i
$987$	−2.70770	+	2.70770i	−0.0861871	+	0.0861871i
$988$	−1.39406	+	0.577438i	−0.0443509	+	0.0183707i
$989$	−22.8343	−	15.2574i	−0.726090	−	0.485157i
$990$	1.37997	−	1.31542i	0.0438582	−	0.0418068i
$991$	3.19987	+	16.0868i	0.101647	+	0.511015i	0.997743	+	0.0671536i	$0.0213918\pi$
$991$	3.19987	+	16.0868i	0.101647	+	0.511015i	−0.896095	+	0.443861i	$0.853608\pi$
$992$	−5.00636	−	0.995828i	−0.158952	−	0.0316176i
$993$	−19.5190	+	13.0422i	−0.619416	+	0.413880i
$994$	0.0914486	+	0.220776i	0.00290057	+	0.00700260i
$995$	51.6487	+	22.8571i	1.63737	+	0.724620i
$996$	0.290047	+	0.0576940i	0.00919050	+	0.00182810i
$997$	−3.12344	+	15.7026i	−0.0989204	+	0.497306i	0.899282	+	0.437370i	$0.144090\pi$
$997$	−3.12344	+	15.7026i	−0.0989204	+	0.497306i	−0.998202	+	0.0599366i	$0.980910\pi$
$998$	−25.8286	−	17.2581i	−0.817588	−	0.546295i
$999$	−25.6284	−	25.6284i	−0.810846	−	0.810846i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.143.4	yes	40
5.2	odd	4		170.2.o.b.7.2	✓	40
5.3	odd	4		850.2.s.d.7.4		40
5.4	even	2		850.2.v.d.143.2		40
17.5	odd	16		170.2.o.b.73.2	yes	40
85.22	even	16	inner	170.2.r.b.107.4	yes	40
85.39	odd	16		850.2.s.d.243.4		40
85.73	even	16		850.2.v.d.107.2		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.7.2	✓	40	5.2	odd	4
170.2.o.b.73.2	yes	40	17.5	odd	16
170.2.r.b.107.4	yes	40	85.22	even	16	inner
170.2.r.b.143.4	yes	40	1.1	even	1	trivial
850.2.s.d.7.4		40	5.3	odd	4
850.2.s.d.243.4		40	85.39	odd	16
850.2.v.d.107.2		40	85.73	even	16
850.2.v.d.143.2		40	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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.382683 - 0.923880i) q^{2} +(1.51925 - 0.302197i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(1.28645 - 1.82895i) q^{5} +(-0.860584 - 1.28795i) q^{6} +(0.134383 + 0.201119i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-0.554854 + 0.229828i) q^{9} +O(q^{10})\)	\(q+(-0.382683 - 0.923880i) q^{2} +(1.51925 - 0.302197i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(1.28645 - 1.82895i) q^{5} +(-0.860584 - 1.28795i) q^{6} +(0.134383 + 0.201119i) q^{7} +(0.923880 + 0.382683i) q^{8} +(-0.554854 + 0.229828i) q^{9} +(-2.18203 - 0.488612i) q^{10} +(1.18040 - 0.788717i) q^{11} +(-0.860584 + 1.28795i) q^{12} -0.250606 q^{13} +(0.134383 - 0.201119i) q^{14} +(1.40172 - 3.16738i) q^{15} -1.00000i q^{16} +(3.42934 + 2.28902i) q^{17} +(0.424667 + 0.424667i) q^{18} +(-5.56274 - 2.30416i) q^{19} +(0.383608 + 2.20292i) q^{20} +(0.264939 + 0.264939i) q^{21} +(-1.18040 - 0.788717i) q^{22} +(-0.605259 + 3.04284i) q^{23} +(1.51925 + 0.302197i) q^{24} +(-1.69011 - 4.70569i) q^{25} +(0.0959029 + 0.231530i) q^{26} +(-4.63737 + 3.09859i) q^{27} +(-0.237236 - 0.0471892i) q^{28} +(0.237131 + 1.19214i) q^{29} +(-3.46270 - 0.0829196i) q^{30} +(4.24419 + 2.83588i) q^{31} +(-0.923880 + 0.382683i) q^{32} +(1.55497 - 1.55497i) q^{33} +(0.802430 - 4.04427i) q^{34} +(0.540714 + 0.0129482i) q^{35} +(0.229828 - 0.554854i) q^{36} +(1.26779 + 6.37360i) q^{37} +6.02107i q^{38} +(-0.380733 + 0.0757325i) q^{39} +(1.88843 - 1.19743i) q^{40} +(0.171169 - 0.860522i) q^{41} +(0.143384 - 0.346160i) q^{42} +(-3.38747 + 8.17809i) q^{43} +(-0.276961 + 1.39237i) q^{44} +(-0.293446 + 1.31046i) q^{45} +(3.04284 - 0.605259i) q^{46} +10.2201i q^{47} +(-0.302197 - 1.51925i) q^{48} +(2.65639 - 6.41310i) q^{49} +(-3.70071 + 3.36225i) q^{50} +(5.90175 + 2.44125i) q^{51} +(0.177206 - 0.177206i) q^{52} +(1.82801 - 0.757188i) q^{53} +(4.63737 + 3.09859i) q^{54} +(0.0759951 - 3.17353i) q^{55} +(0.0471892 + 0.237236i) q^{56} +(-9.14748 - 1.81955i) q^{57} +(1.01065 - 0.675292i) q^{58} +(0.520057 + 1.25553i) q^{59} +(1.24851 + 3.23085i) q^{60} +(-8.99481 - 1.78918i) q^{61} +(0.995828 - 5.00636i) q^{62} +(-0.120786 - 0.0807066i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-0.322392 + 0.458347i) q^{65} +(-2.03166 - 0.841542i) q^{66} +(-7.69457 - 7.69457i) q^{67} +(-4.04349 + 0.806326i) q^{68} +4.80573i q^{69} +(-0.194960 - 0.504509i) q^{70} +(-0.548870 + 0.821442i) q^{71} -0.600569 q^{72} +(8.70593 - 13.0293i) q^{73} +(5.40328 - 3.61035i) q^{74} +(-3.98974 - 6.63835i) q^{75} +(5.56274 - 2.30416i) q^{76} +(0.317252 + 0.131410i) q^{77} +(0.215668 + 0.322770i) q^{78} +(-5.86124 - 8.77197i) q^{79} +(-1.82895 - 1.28645i) q^{80} +(-4.83492 + 4.83492i) q^{81} +(-0.860522 + 0.171169i) q^{82} +(-0.0730601 - 0.176383i) q^{83} -0.374680 q^{84} +(8.59817 - 3.32739i) q^{85} +8.85190 q^{86} +(0.720521 + 1.73949i) q^{87} +(1.39237 - 0.276961i) q^{88} +(5.17953 - 5.17953i) q^{89} +(1.32300 - 0.230383i) q^{90} +(-0.0336774 - 0.0504017i) q^{91} +(-1.72363 - 2.57960i) q^{92} +(7.30496 + 3.02581i) q^{93} +(9.44214 - 3.91106i) q^{94} +(-11.3704 + 7.20979i) q^{95} +(-1.28795 + 0.860584i) q^{96} +(5.27043 - 7.88775i) q^{97} -6.94149 q^{98} +(-0.473679 + 0.708911i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Introduction

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