LMFDB - Embedded newform 150.2.l.a.83.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(17,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 13]))

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

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

chi := DirichletCharacter("150.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.l (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			83.10
Character	$\chi$	$=$	150.83
Dual form			150.2.l.a.47.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.453990 - 0.891007i) q^{2} +(1.72904 - 0.102145i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(1.55212 - 1.60963i) q^{5} +(0.693954 - 1.58696i) q^{6} +(-2.97677 + 2.97677i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.97913 - 0.353226i) q^{9} +O(q^{10})$	\(q+(0.453990 - 0.891007i) q^{2} +(1.72904 - 0.102145i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(1.55212 - 1.60963i) q^{5} +(0.693954 - 1.58696i) q^{6} +(-2.97677 + 2.97677i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.97913 - 0.353226i) q^{9} +(-0.729547 - 2.11371i) q^{10} +(-4.73921 + 1.53986i) q^{11} +(-1.09894 - 1.33878i) q^{12} +(1.57400 - 0.801995i) q^{13} +(1.30090 + 4.00375i) q^{14} +(2.51926 - 2.94166i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.223260 + 1.40961i) q^{17} +(1.03777 - 2.81479i) q^{18} +(1.09331 - 1.50481i) q^{19} +(-2.21453 - 0.309572i) q^{20} +(-4.84289 + 5.45101i) q^{21} +(-0.779529 + 4.92175i) q^{22} +(1.86763 + 0.951606i) q^{23} +(-1.69177 + 0.371369i) q^{24} +(-0.181847 - 4.99669i) q^{25} -1.76655i q^{26} +(5.11495 - 0.915046i) q^{27} +(4.15797 + 0.658557i) q^{28} +(-4.57938 + 3.32712i) q^{29} +(-1.47732 - 3.58016i) q^{30} +(-5.23835 - 3.80588i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-8.03698 + 3.14657i) q^{33} +(1.35733 + 0.441023i) q^{34} +(0.171208 + 9.41183i) q^{35} +(-2.03686 - 2.20255i) q^{36} +(1.16900 + 2.29429i) q^{37} +(-0.844446 - 1.65732i) q^{38} +(2.63959 - 1.54746i) q^{39} +(-1.28121 + 1.83262i) q^{40} +(3.58757 + 1.16567i) q^{41} +(2.65826 + 6.78975i) q^{42} +(6.26505 + 6.26505i) q^{43} +(4.03141 + 2.92899i) q^{44} +(4.05541 - 5.34356i) q^{45} +(1.69577 - 1.23205i) q^{46} +(-4.62368 - 0.732319i) q^{47} +(-0.437156 + 1.67598i) q^{48} -10.7224i q^{49} +(-4.53464 - 2.10642i) q^{50} +(0.530010 + 2.41446i) q^{51} +(-1.57400 - 0.801995i) q^{52} +(-0.801081 + 5.05783i) q^{53} +(1.50683 - 4.97287i) q^{54} +(-4.87721 + 10.0184i) q^{55} +(2.47446 - 3.40580i) q^{56} +(1.73666 - 2.71355i) q^{57} +(0.885486 + 5.59074i) q^{58} +(3.44032 - 10.5882i) q^{59} +(-3.86063 - 0.309057i) q^{60} +(-2.99979 - 9.23241i) q^{61} +(-5.76923 + 2.93957i) q^{62} +(-7.81673 + 9.91968i) q^{63} +(0.951057 - 0.309017i) q^{64} +(1.15212 - 3.77836i) q^{65} +(-0.845099 + 8.58951i) q^{66} +(-6.39326 + 1.01259i) q^{67} +(1.00917 - 1.00917i) q^{68} +(3.32641 + 1.45459i) q^{69} +(8.46373 + 4.12033i) q^{70} +(-8.85681 - 12.1904i) q^{71} +(-2.88720 + 0.814916i) q^{72} +(4.19747 - 8.23800i) q^{73} +2.57494 q^{74} +(-0.824809 - 8.62089i) q^{75} -1.86005 q^{76} +(9.52374 - 18.6914i) q^{77} +(-0.180445 - 3.05442i) q^{78} +(2.20434 + 3.03401i) q^{79} +(1.05122 + 1.97356i) q^{80} +(8.75046 - 2.10462i) q^{81} +(2.66735 - 2.66735i) q^{82} +(16.6646 - 2.63941i) q^{83} +(7.25654 + 0.713952i) q^{84} +(2.61548 + 1.82852i) q^{85} +(8.42648 - 2.73793i) q^{86} +(-7.57807 + 6.22047i) q^{87} +(4.43998 - 2.26228i) q^{88} +(-0.351151 - 1.08073i) q^{89} +(-2.92003 - 6.03932i) q^{90} +(-2.29810 + 7.07281i) q^{91} +(-0.327901 - 2.07029i) q^{92} +(-9.44605 - 6.04544i) q^{93} +(-2.75161 + 3.78726i) q^{94} +(-0.725250 - 4.09548i) q^{95} +(1.29484 + 1.15039i) q^{96} +(0.549968 - 3.47236i) q^{97} +(-9.55370 - 4.86785i) q^{98} +(-13.5748 + 6.26147i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) $ 80 * q + 4 * q^3 + 4 * q^7	$ 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) $ 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$-1$	$e\left(\frac{3}{20}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.453990	−	0.891007i	0.321020	−	0.630037i
$2$	0.453990	−	0.891007i	0.321020	−	0.630037i
$3$	1.72904	−	0.102145i	0.998260	−	0.0589737i
$3$	1.72904	−	0.102145i	0.998260	−	0.0589737i
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	1.55212	−	1.60963i	0.694129	−	0.719850i
$5$	1.55212	−	1.60963i	0.694129	−	0.719850i
$6$	0.693954	−	1.58696i	0.283305	−	0.647872i
$7$	−2.97677	+	2.97677i	−1.12511	+	1.12511i	−0.134155	+	0.990960i	$0.542832\pi$
$7$	−2.97677	+	2.97677i	−1.12511	+	1.12511i	−0.990960	+	0.134155i	$0.957168\pi$
$8$	−0.987688	+	0.156434i	−0.349201	+	0.0553079i
$9$	2.97913	−	0.353226i	0.993044	−	0.117742i
$10$	−0.729547	−	2.11371i	−0.230703	−	0.668413i
$11$	−4.73921	+	1.53986i	−1.42893	+	0.464286i	−0.918426	−	0.395592i	$-0.870539\pi$
$11$	−4.73921	+	1.53986i	−1.42893	+	0.464286i	−0.510499	+	0.859878i	$0.670539\pi$
$12$	−1.09894	−	1.33878i	−0.317236	−	0.386473i
$13$	1.57400	−	0.801995i	0.436550	−	0.222433i	−0.221882	−	0.975074i	$-0.571220\pi$
$13$	1.57400	−	0.801995i	0.436550	−	0.222433i	0.658432	+	0.752640i	$0.271220\pi$
$14$	1.30090	+	4.00375i	0.347680	+	1.07005i
$15$	2.51926	−	2.94166i	0.650469	−	0.759533i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	0.223260	+	1.40961i	0.0541486	+	0.341881i	0.999858	+	0.0168665i	$0.00536903\pi$
$17$	0.223260	+	1.40961i	0.0541486	+	0.341881i	−0.945709	+	0.325014i	$0.894631\pi$
$18$	1.03777	−	2.81479i	0.244605	−	0.663452i
$19$	1.09331	−	1.50481i	0.250823	−	0.345228i	−0.664977	−	0.746864i	$-0.731558\pi$
$19$	1.09331	−	1.50481i	0.250823	−	0.345228i	0.915799	+	0.401636i	$0.131558\pi$
$20$	−2.21453	−	0.309572i	−0.495185	−	0.0692224i
$21$	−4.84289	+	5.45101i	−1.05680	+	1.18951i
$22$	−0.779529	+	4.92175i	−0.166196	+	1.04932i
$23$	1.86763	+	0.951606i	0.389428	+	0.198424i	0.637731	−	0.770259i	$-0.279873\pi$
$23$	1.86763	+	0.951606i	0.389428	+	0.198424i	−0.248303	+	0.968682i	$0.579873\pi$
$24$	−1.69177	+	0.371369i	−0.345331	+	0.0758053i
$25$	−0.181847	−	4.99669i	−0.0363693	−	0.999338i
$26$		−	1.76655i		−	0.346448i
$27$	5.11495	−	0.915046i	0.984372	−	0.176101i
$28$	4.15797	+	0.658557i	0.785782	+	0.124456i
$29$	−4.57938	+	3.32712i	−0.850370	+	0.617830i	−0.925248	−	0.379363i	$-0.876143\pi$
$29$	−4.57938	+	3.32712i	−0.850370	+	0.617830i	0.0748779	+	0.997193i	$0.476143\pi$
$30$	−1.47732	−	3.58016i	−0.269720	−	0.653644i
$31$	−5.23835	−	3.80588i	−0.940835	−	0.683557i	0.00778619	−	0.999970i	$-0.497522\pi$
$31$	−5.23835	−	3.80588i	−0.940835	−	0.683557i	−0.948622	+	0.316413i	$0.897522\pi$
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	−8.03698	+	3.14657i	−1.39906	+	0.547747i
$34$	1.35733	+	0.441023i	0.232780	+	0.0756348i
$35$	0.171208	+	9.41183i	0.0289394	+	1.59089i
$36$	−2.03686	−	2.20255i	−0.339476	−	0.367091i
$37$	1.16900	+	2.29429i	0.192182	+	0.377178i	0.966911	−	0.255116i	$-0.0821135\pi$
$37$	1.16900	+	2.29429i	0.192182	+	0.377178i	−0.774729	+	0.632294i	$0.782114\pi$
$38$	−0.844446	−	1.65732i	−0.136987	−	0.268852i
$39$	2.63959	−	1.54746i	0.422673	−	0.247791i
$40$	−1.28121	+	1.83262i	−0.202577	+	0.289763i
$41$	3.58757	+	1.16567i	0.560285	+	0.182048i	0.575449	−	0.817837i	$-0.304827\pi$
$41$	3.58757	+	1.16567i	0.560285	+	0.182048i	−0.0151644	+	0.999885i	$0.504827\pi$
$42$	2.65826	+	6.78975i	0.410179	+	1.04768i
$43$	6.26505	+	6.26505i	0.955411	+	0.955411i	0.999047	−	0.0436361i	$-0.0138942\pi$
$43$	6.26505	+	6.26505i	0.955411	+	0.955411i	−0.0436361	+	0.999047i	$0.513894\pi$
$44$	4.03141	+	2.92899i	0.607758	+	0.441562i
$45$	4.05541	−	5.34356i	0.604544	−	0.796572i
$46$	1.69577	−	1.23205i	0.250028	−	0.181656i
$47$	−4.62368	−	0.732319i	−0.674433	−	0.106820i	−0.190182	−	0.981749i	$-0.560908\pi$
$47$	−4.62368	−	0.732319i	−0.674433	−	0.106820i	−0.484251	+	0.874929i	$0.660908\pi$
$48$	−0.437156	+	1.67598i	−0.0630980	+	0.241906i
$49$		−	10.7224i		−	1.53177i
$50$	−4.53464	−	2.10642i	−0.641295	−	0.297893i
$51$	0.530010	+	2.41446i	0.0742163	+	0.338092i
$52$	−1.57400	−	0.801995i	−0.218275	−	0.111217i
$53$	−0.801081	+	5.05783i	−0.110037	+	0.694746i	0.869568	+	0.493813i	$0.164397\pi$
$53$	−0.801081	+	5.05783i	−0.110037	+	0.694746i	−0.979605	+	0.200933i	$0.935603\pi$
$54$	1.50683	−	4.97287i	0.205053	−	0.676722i
$55$	−4.87721	+	10.0184i	−0.657643	+	1.35089i
$56$	2.47446	−	3.40580i	0.330663	−	0.455119i
$57$	1.73666	−	2.71355i	0.230027	−	0.359419i
$58$	0.885486	+	5.59074i	0.116270	+	0.734100i
$59$	3.44032	−	10.5882i	0.447892	−	1.37847i	−0.431389	−	0.902166i	$-0.641976\pi$
$59$	3.44032	−	10.5882i	0.447892	−	1.37847i	0.879281	−	0.476303i	$-0.158024\pi$
$60$	−3.86063	−	0.309057i	−0.498406	−	0.0398991i
$61$	−2.99979	−	9.23241i	−0.384084	−	1.18209i	−0.937142	−	0.348947i	$-0.886539\pi$
$61$	−2.99979	−	9.23241i	−0.384084	−	1.18209i	0.553058	−	0.833143i	$-0.313461\pi$
$62$	−5.76923	+	2.93957i	−0.732693	+	0.373326i
$63$	−7.81673	+	9.91968i	−0.984816	+	1.24976i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	1.15212	−	3.77836i	0.142903	−	0.468648i
$66$	−0.845099	+	8.58951i	−0.104025	+	1.05730i
$67$	−6.39326	+	1.01259i	−0.781061	+	0.123708i	−0.534217	−	0.845347i	$-0.679393\pi$
$67$	−6.39326	+	1.01259i	−0.781061	+	0.123708i	−0.246844	+	0.969055i	$0.579393\pi$
$68$	1.00917	−	1.00917i	0.122380	−	0.122380i
$69$	3.32641	+	1.45459i	0.400452	+	0.175112i
$70$	8.46373	+	4.12033i	1.01161	+	0.492474i
$71$	−8.85681	−	12.1904i	−1.05111	−	1.44673i	−0.887842	−	0.460147i	$-0.847797\pi$
$71$	−8.85681	−	12.1904i	−1.05111	−	1.44673i	−0.163268	−	0.986582i	$-0.552203\pi$
$72$	−2.88720	+	0.814916i	−0.340260	+	0.0960388i
$73$	4.19747	−	8.23800i	0.491277	−	0.964185i	−0.503681	−	0.863890i	$-0.668021\pi$
$73$	4.19747	−	8.23800i	0.491277	−	0.964185i	0.994958	−	0.100295i	$-0.0319786\pi$
$74$	2.57494			0.299330
$75$	−0.824809	−	8.62089i	−0.0952407	−	0.995454i
$76$	−1.86005			−0.213363
$77$	9.52374	−	18.6914i	1.08533	−	2.13008i
$78$	−0.180445	−	3.05442i	−0.0204313	−	0.345845i
$79$	2.20434	+	3.03401i	0.248007	+	0.341353i	0.914812	−	0.403880i	$-0.132339\pi$
$79$	2.20434	+	3.03401i	0.248007	+	0.341353i	−0.666805	+	0.745232i	$0.732339\pi$
$80$	1.05122	+	1.97356i	0.117530	+	0.220651i
$81$	8.75046	−	2.10462i	0.972274	−	0.233846i
$82$	2.66735	−	2.66735i	0.294559	−	0.294559i
$83$	16.6646	−	2.63941i	1.82918	−	0.289713i	0.855525	−	0.517761i	$-0.173234\pi$
$83$	16.6646	−	2.63941i	1.82918	−	0.289713i	0.973650	+	0.228048i	$0.0732342\pi$
$84$	7.25654	+	0.713952i	0.791754	+	0.0778985i
$85$	2.61548	+	1.82852i	0.283689	+	0.198330i
$86$	8.42648	−	2.73793i	0.908650	−	0.295238i
$87$	−7.57807	+	6.22047i	−0.812454	+	0.666904i
$88$	4.43998	−	2.26228i	0.473303	−	0.241160i
$89$	−0.351151	−	1.08073i	−0.0372219	−	0.114557i	0.930719	−	0.365735i	$-0.119182\pi$
$89$	−0.351151	−	1.08073i	−0.0372219	−	0.114557i	−0.967941	+	0.251177i	$0.919182\pi$
$90$	−2.92003	−	6.03932i	−0.307799	−	0.636600i
$91$	−2.29810	+	7.07281i	−0.240906	+	0.741432i
$92$	−0.327901	−	2.07029i	−0.0341860	−	0.215842i
$93$	−9.44605	−	6.04544i	−0.979510	−	0.626883i
$94$	−2.75161	+	3.78726i	−0.283807	+	0.390626i
$95$	−0.725250	−	4.09548i	−0.0744090	−	0.420187i
$96$	1.29484	+	1.15039i	0.132154	+	0.117411i
$97$	0.549968	−	3.47236i	0.0558408	−	0.352565i	−0.943909	−	0.330205i	$-0.892882\pi$
$97$	0.549968	−	3.47236i	0.0558408	−	0.352565i	0.999750	−	0.0223598i	$-0.00711793\pi$
$98$	−9.55370	−	4.86785i	−0.965070	−	0.491728i
$99$	−13.5748	+	6.26147i	−1.36432	+	0.629301i
$100$	−3.93552	+	3.08410i	−0.393552	+	0.308410i
$101$			16.6740i			1.65912i	0.558415	+	0.829562i	$0.311410\pi$
$101$			16.6740i			1.65912i	−0.558415	+	0.829562i	$0.688590\pi$
$102$	2.39192	+	0.623900i	0.236835	+	0.0617753i
$103$	−2.62027	−	0.415010i	−0.258183	−	0.0408921i	0.0260012	−	0.999662i	$-0.491723\pi$
$103$	−2.62027	−	0.415010i	−0.258183	−	0.0408921i	−0.284184	+	0.958770i	$0.591723\pi$
$104$	−1.42917	+	1.03835i	−0.140141	+	0.101819i
$105$	1.25740	+	16.2559i	0.122710	+	1.58641i
$106$	4.14287	+	3.00997i	0.402391	+	0.292355i
$107$	8.35067	+	8.35067i	0.807290	+	0.807290i	0.984223	−	0.176933i	$-0.0566176\pi$
$107$	8.35067	+	8.35067i	0.807290	+	0.807290i	−0.176933	+	0.984223i	$0.556618\pi$
$108$	−3.74678	−	3.60023i	−0.360534	−	0.346432i
$109$	−12.6666	−	4.11563i	−1.21324	−	0.394206i	−0.368625	−	0.929578i	$-0.620172\pi$
$109$	−12.6666	−	4.11563i	−1.21324	−	0.394206i	−0.844617	+	0.535372i	$0.820172\pi$
$110$	6.71230	+	8.89390i	0.639992	+	0.848001i
$111$	2.25559	+	3.84749i	0.214091	+	0.365188i
$112$	−1.91121	−	3.75095i	−0.180592	−	0.354432i
$113$	0.679445	+	1.33349i	0.0639168	+	0.125444i	0.920755	−	0.390142i	$-0.127574\pi$
$113$	0.679445	+	1.33349i	0.0639168	+	0.125444i	−0.856838	+	0.515586i	$0.827574\pi$
$114$	−1.62936	−	2.77931i	−0.152604	−	0.260306i
$115$	4.43053	−	1.52920i	0.413149	−	0.142598i
$116$	5.38339	+	1.74917i	0.499835	+	0.162406i
$117$	4.40588	−	2.94523i	0.407324	−	0.272286i
$118$	−7.87230	−	7.87230i	−0.724704	−	0.724704i
$119$	−4.86069	−	3.53149i	−0.445578	−	0.323732i
$120$	−2.02806	+	3.29954i	−0.185136	+	0.301205i
$121$	11.1898	−	8.12983i	1.01725	−	0.739076i
$122$	−9.58802	−	1.51859i	−0.868058	−	0.137487i
$123$	6.32211	+	1.64904i	0.570046	+	0.148689i
$124$			6.47496i			0.581468i
$125$	−8.32510	−	7.46276i	−0.744619	−	0.667489i
$126$	5.28978	+	11.4682i	0.471251	+	1.02167i
$127$	1.38236	+	0.704349i	0.122665	+	0.0625009i	0.514246	−	0.857643i	$-0.328072\pi$
$127$	1.38236	+	0.704349i	0.122665	+	0.0625009i	−0.391581	+	0.920144i	$0.628072\pi$
$128$	0.156434	−	0.987688i	0.0138270	−	0.0873001i
$129$	11.4724	+	10.1926i	1.01009	+	0.897404i
$130$	−2.84349	−	2.74189i	−0.249391	−	0.240480i
$131$	−3.74251	+	5.15112i	−0.326984	+	0.450055i	−0.940584	−	0.339562i	$-0.889721\pi$
$131$	−3.74251	+	5.15112i	−0.326984	+	0.450055i	0.613599	+	0.789618i	$0.289721\pi$
$132$	7.26964	+	4.65255i	0.632741	+	0.404952i
$133$	1.22495	+	7.73403i	0.106217	+	0.670625i
$134$	−2.00025	+	6.15614i	−0.172795	+	0.531810i
$135$	6.46612	−	9.65346i	0.556515	−	0.830837i
$136$	−0.441023	−	1.35733i	−0.0378174	−	0.116390i
$137$	3.66124	−	1.86549i	0.312800	−	0.159380i	−0.290542	−	0.956862i	$-0.593835\pi$
$137$	3.66124	−	1.86549i	0.312800	−	0.159380i	0.603342	+	0.797483i	$0.293835\pi$
$138$	2.80621	−	2.30348i	0.238880	−	0.196085i
$139$	−10.1584	+	3.30065i	−0.861621	+	0.279958i	−0.706305	−	0.707907i	$-0.749639\pi$
$139$	−10.1584	+	3.30065i	−0.861621	+	0.279958i	−0.155316	+	0.987865i	$0.549639\pi$
$140$	7.51370	−	5.67064i	0.635023	−	0.479257i
$141$	−8.06931	−	0.793919i	−0.679559	−	0.0668600i
$142$	−14.8826	+	2.35717i	−1.24892	+	0.197809i
$143$	−6.22457	+	6.22457i	−0.520525	+	0.520525i
$144$	−0.584665	+	2.94248i	−0.0487220	+	0.245206i
$145$	−1.75231	+	12.5352i	−0.145521	+	1.04099i
$146$	−5.43450	−	7.47994i	−0.449762	−	0.619045i
$147$	−1.09524	−	18.5394i	−0.0903339	−	1.52910i
$148$	1.16900	−	2.29429i	0.0960909	−	0.188589i
$149$	5.13270			0.420487			0.210244	−	0.977649i	$-0.432574\pi$
$149$	5.13270			0.420487			0.210244	+	0.977649i	$0.432574\pi$
$150$	−8.05572	−	3.17889i	−0.657747	−	0.259555i
$151$	20.1314			1.63827			0.819136	−	0.573600i	$-0.194454\pi$
$151$	20.1314			1.63827			0.819136	+	0.573600i	$0.194454\pi$
$152$	−0.844446	+	1.65732i	−0.0684936	+	0.134426i
$153$	1.16303	+	4.12055i	0.0940256	+	0.333127i
$154$	−12.3305	−	16.9714i	−0.993617	−	1.36760i
$155$	−14.2566	+	2.52464i	−1.14512	+	0.202784i
$156$	−2.80343	−	1.22590i	−0.224454	−	0.0981506i
$157$	−7.13510	+	7.13510i	−0.569443	+	0.569443i	−0.931972	−	0.362529i	$-0.881913\pi$
$157$	−7.13510	+	7.13510i	−0.569443	+	0.569443i	0.362529	+	0.931972i	$0.381913\pi$
$158$	3.70407	−	0.586667i	0.294680	−	0.0466727i
$159$	−0.868465	+	8.82699i	−0.0688737	+	0.700026i
$160$	2.23570	−	0.0406689i	0.176747	−	0.00321516i
$161$	−8.39223	+	2.72680i	−0.661401	+	0.214902i
$162$	2.09740	−	8.75219i	0.164787	−	0.687637i
$163$	−5.00771	+	2.55156i	−0.392234	+	0.199853i	−0.638974	−	0.769228i	$-0.720641\pi$
$163$	−5.00771	+	2.55156i	−0.392234	+	0.199853i	0.246739	+	0.969082i	$0.420641\pi$
$164$	−1.16567	−	3.58757i	−0.0910238	−	0.280143i
$165$	−7.40953	+	17.8204i	−0.576831	+	1.38732i
$166$	5.21383	−	16.0465i	0.404672	−	1.24545i
$167$	2.62306	+	16.5614i	0.202979	+	1.28156i	0.853109	+	0.521734i	$0.174714\pi$
$167$	2.62306	+	16.5614i	0.202979	+	1.28156i	−0.650130	+	0.759823i	$0.725286\pi$
$168$	3.93054	−	6.14150i	0.303247	−	0.473827i
$169$	−5.80692	+	7.99254i	−0.446686	+	0.614810i
$170$	2.81662	−	1.50028i	0.216025	−	0.115066i
$171$	2.72558	−	4.86922i	0.208430	−	0.372359i
$172$	1.38603	−	8.75104i	0.105684	−	0.667260i
$173$	−3.98829	−	2.03214i	−0.303224	−	0.154500i	0.295758	−	0.955263i	$-0.404428\pi$
$173$	−3.98829	−	2.03214i	−0.303224	−	0.154500i	−0.598982	+	0.800763i	$0.704428\pi$
$174$	2.10211	+	9.57614i	0.159360	+	0.725966i
$175$	15.4153	+	14.3327i	1.16529	+	1.08345i
$176$		−	4.98310i		−	0.375615i
$177$	4.86690	−	18.6588i	0.365819	−	1.40248i
$178$	−1.12236	−	0.177764i	−0.0841243	−	0.0133240i
$179$	−0.141142	+	0.102546i	−0.0105495	+	0.00766463i	−0.593047	−	0.805167i	$-0.702075\pi$
$179$	−0.141142	+	0.102546i	−0.0105495	+	0.00766463i	0.582498	+	0.812832i	$0.302075\pi$
$180$	−6.70674	−	0.140024i	−0.499891	−	0.0104368i
$181$	9.20445	+	6.68743i	0.684162	+	0.497072i	0.874736	−	0.484600i	$-0.161035\pi$
$181$	9.20445	+	6.68743i	0.684162	+	0.497072i	−0.190574	+	0.981673i	$0.561035\pi$
$182$	5.25861	+	5.25861i	0.389794	+	0.389794i
$183$	−6.12980	−	15.6568i	−0.453128	−	1.15738i
$184$	−1.99350	−	0.647728i	−0.146963	−	0.0477511i
$185$	5.50738	+	1.67935i	0.404911	+	0.123468i
$186$	−9.67494	+	5.67192i	−0.709401	+	0.415885i
$187$	−3.22868	−	6.33665i	−0.236105	−	0.463382i
$188$	2.12527	+	4.17108i	0.155001	+	0.304207i
$189$	−12.5022	+	17.9499i	−0.909398	+	1.30567i
$190$	−3.97836	−	1.21311i	−0.288620	−	0.0880081i
$191$	17.5527	+	5.70322i	1.27007	+	0.412671i	0.865072	−	0.501647i	$-0.167272\pi$
$191$	17.5527	+	5.70322i	1.27007	+	0.412671i	0.404998	+	0.914318i	$0.367272\pi$
$192$	1.61285	−	0.631448i	0.116397	−	0.0455708i
$193$	−3.31568	−	3.31568i	−0.238668	−	0.238668i	0.577630	−	0.816298i	$-0.303977\pi$
$193$	−3.31568	−	3.31568i	−0.238668	−	0.238668i	−0.816298	+	0.577630i	$0.803977\pi$
$194$	−2.84422	−	2.06644i	−0.204203	−	0.148362i
$195$	1.60612	−	6.65061i	0.115017	−	0.476260i
$196$	−8.67458	+	6.30245i	−0.619613	+	0.450175i
$197$	−12.5246	−	1.98370i	−0.892341	−	0.141333i	−0.306607	−	0.951836i	$-0.599194\pi$
$197$	−12.5246	−	1.98370i	−0.892341	−	0.141333i	−0.585734	+	0.810503i	$0.699194\pi$
$198$	−0.583828	+	14.9379i	−0.0414909	+	1.06159i
$199$		−	1.62602i		−	0.115266i	−0.998338	−	0.0576328i	$-0.981645\pi$
$199$		−	1.62602i		−	0.115266i	0.998338	−	0.0576328i	$-0.0183553\pi$
$200$	0.961263	+	4.90673i	0.0679715	+	0.346958i
$201$	−10.9507	+	2.40385i	−0.772406	+	0.169555i
$202$	14.8566	+	7.56983i	1.04531	+	0.532612i
$203$	3.72772	−	23.5359i	0.261634	−	1.65189i
$204$	1.64181	−	1.84797i	0.114950	−	0.129384i
$205$	7.44466	−	3.96542i	0.519957	−	0.276957i
$206$	−1.55935	+	2.14627i	−0.108645	+	0.149537i
$207$	5.90005	+	2.17526i	0.410082	+	0.151191i
$208$	0.276349	+	1.74480i	0.0191613	+	0.120980i
$209$	−2.86422	+	8.81517i	−0.198123	+	0.609758i
$210$	15.0550	+	6.25968i	1.03889	+	0.431959i
$211$	−3.73259	−	11.4877i	−0.256962	−	0.790848i	−0.993437	−	0.114383i	$-0.963511\pi$
$211$	−3.73259	−	11.4877i	−0.256962	−	0.790848i	0.736475	−	0.676465i	$-0.236489\pi$
$212$	4.56273	−	2.32483i	0.313370	−	0.159670i
$213$	−16.5589	−	20.1729i	−1.13460	−	1.38222i
$214$	11.2316	−	3.64938i	0.767778	−	0.249466i
$215$	19.8086	−	0.360331i	1.35093	−	0.0245744i
$216$	−4.90883	+	1.70393i	−0.334004	+	0.115938i
$217$	26.9226	−	4.26413i	1.82763	−	0.289468i
$218$	−9.41758	+	9.41758i	−0.637839	+	0.637839i
$219$	6.41610	−	14.6725i	0.433560	−	0.991479i
$220$	10.9718	−	1.94295i	0.739722	−	0.130994i
$221$	1.48191	+	2.03968i	0.0996842	+	0.137204i
$222$	4.45216	−	0.263018i	0.298809	−	0.0176526i
$223$	2.82606	−	5.54645i	0.189247	−	0.371418i	−0.776815	−	0.629729i	$-0.783166\pi$
$223$	2.82606	−	5.54645i	0.189247	−	0.371418i	0.966062	+	0.258311i	$0.0831660\pi$
$224$	−4.20979			−0.281279
$225$	−2.30671	−	14.8216i	−0.153781	−	0.988105i
$226$	1.49661			0.0995528
$227$	−4.15647	+	8.15754i	−0.275875	+	0.541435i	−0.986822	−	0.161811i	$-0.948267\pi$
$227$	−4.15647	+	8.15754i	−0.275875	+	0.541435i	0.710947	+	0.703246i	$0.248267\pi$
$228$	−3.21610	+	0.189996i	−0.212991	+	0.0125828i
$229$	10.8714	+	14.9632i	0.718400	+	0.988793i	0.999575	+	0.0291365i	$0.00927575\pi$
$229$	10.8714	+	14.9632i	0.718400	+	0.988793i	−0.281175	+	0.959656i	$0.590724\pi$
$230$	0.648892	−	4.64187i	0.0427866	−	0.306076i
$231$	14.5576	−	33.2909i	0.957823	−	2.19038i
$232$	4.00253	−	4.00253i	0.262779	−	0.262779i
$233$	−13.6047	+	2.15478i	−0.891276	+	0.141164i	−0.585244	−	0.810857i	$-0.699001\pi$
$233$	−13.6047	+	2.15478i	−0.891276	+	0.141164i	−0.306032	+	0.952021i	$0.599001\pi$
$234$	−0.623990	−	5.26277i	−0.0407915	−	0.344038i
$235$	−8.35527	+	6.30579i	−0.545038	+	0.411344i
$236$	−10.5882	+	3.44032i	−0.689234	+	0.223946i
$237$	4.12129	+	5.02075i	0.267706	+	0.326133i
$238$	−5.35329	+	2.72764i	−0.347002	+	0.176806i
$239$	−6.40747	−	19.7202i	−0.414465	−	1.27559i	−0.912729	−	0.408566i	$-0.866029\pi$
$239$	−6.40747	−	19.7202i	−0.414465	−	1.27559i	0.498264	−	0.867025i	$-0.333971\pi$
$240$	2.01919	+	3.30498i	0.130338	+	0.213335i
$241$	−1.92274	+	5.91757i	−0.123854	+	0.381184i	−0.993691	−	0.112156i	$-0.964224\pi$
$241$	−1.92274	+	5.91757i	−0.123854	+	0.381184i	0.869836	+	0.493340i	$0.164224\pi$
$242$	−2.16369	−	13.6610i	−0.139087	−	0.878163i
$243$	14.9149	−	4.53278i	0.956791	−	0.290778i
$244$	−5.70595	+	7.85356i	−0.365286	+	0.502773i
$245$	−17.2591	−	16.6424i	−1.10264	−	1.06324i
$246$	4.33948	−	4.88440i	0.276675	−	0.311418i
$247$	0.514023	−	3.24541i	0.0327065	−	0.206501i
$248$	5.76923	+	2.93957i	0.366346	+	0.186663i
$249$	28.5441	−	6.26585i	1.80891	−	0.397082i
$250$	−10.4289	+	4.02969i	−0.659580	+	0.254860i
$251$		−	3.76896i		−	0.237895i	−0.992901	−	0.118947i	$-0.962048\pi$
$251$		−	3.76896i		−	0.237895i	0.992901	−	0.118947i	$-0.0379520\pi$
$252$	12.6197	+	0.493226i	0.794969	+	0.0310703i
$253$	−10.3164	−	1.63396i	−0.648589	−	0.102726i
$254$	1.25516	−	0.911927i	0.0787557	−	0.0572194i
$255$	4.70904	+	2.89441i	0.294891	+	0.181255i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	21.7693	+	21.7693i	1.35793	+	1.35793i	0.876462	+	0.481471i	$0.159897\pi$
$257$	21.7693	+	21.7693i	1.35793	+	1.35793i	0.481471	+	0.876462i	$0.340103\pi$
$258$	14.2900	−	5.59470i	0.889657	−	0.348311i
$259$	−10.3094	−	3.34973i	−0.640596	−	0.208142i
$260$	−3.73396	+	1.28878i	−0.231570	+	0.0799266i
$261$	−12.4674	+	11.5295i	−0.771711	+	0.713657i
$262$	2.89062	+	5.67316i	0.178583	+	0.350489i
$263$	−2.51673	−	4.93937i	−0.155188	−	0.304574i	0.800302	−	0.599598i	$-0.204673\pi$
$263$	−2.51673	−	4.93937i	−0.155188	−	0.304574i	−0.955490	+	0.295023i	$0.904673\pi$
$264$	7.44580	−	4.36509i	0.458257	−	0.268653i
$265$	6.89788	+	9.13980i	0.423733	+	0.561454i
$266$	7.44718	+	2.41974i	0.456616	+	0.148364i
$267$	−0.717544	−	1.83276i	−0.0439130	−	0.112163i
$268$	4.57707	+	4.57707i	0.279589	+	0.279589i
$269$	2.80188	+	2.03568i	0.170834	+	0.124118i	0.669917	−	0.742436i	$-0.266330\pi$
$269$	2.80188	+	2.03568i	0.170834	+	0.124118i	−0.499083	+	0.866554i	$0.666330\pi$
$270$	−5.66573	−	10.1439i	−0.344806	−	0.617340i
$271$	−3.81142	+	2.76916i	−0.231528	+	0.168215i	−0.697500	−	0.716584i	$-0.745704\pi$
$271$	−3.81142	+	2.76916i	−0.231528	+	0.168215i	0.465973	+	0.884799i	$0.345704\pi$
$272$	−1.40961	−	0.223260i	−0.0854701	−	0.0135371i
$273$	−3.25104	+	12.4639i	−0.196762	+	0.754349i
$274$		−	4.10910i		−	0.248240i
$275$	8.55603	+	23.4004i	0.515948	+	1.41109i
$276$	−0.778423	−	3.54611i	−0.0468556	−	0.213450i
$277$	−22.1735	−	11.2980i	−1.33228	−	0.678829i	−0.364634	−	0.931151i	$-0.618806\pi$
$277$	−22.1735	−	11.2980i	−1.33228	−	0.678829i	−0.967644	+	0.252321i	$0.918806\pi$
$278$	−1.67090	+	10.5496i	−0.100214	+	0.632725i
$279$	−16.9501	−	9.48791i	−1.01477	−	0.568026i
$280$	−1.64143	−	9.26917i	−0.0980945	−	0.553939i
$281$	−5.67900	+	7.81648i	−0.338781	+	0.466292i	−0.944085	−	0.329702i	$-0.893052\pi$
$281$	−5.67900	+	7.81648i	−0.338781	+	0.466292i	0.605304	+	0.795994i	$0.293052\pi$
$282$	−4.37078	+	6.82938i	−0.260276	+	0.406684i
$283$	−0.159612	−	1.00775i	−0.00948793	−	0.0599044i	0.982490	−	0.186315i	$-0.0596544\pi$
$283$	−0.159612	−	1.00775i	−0.00948793	−	0.0599044i	−0.991978	+	0.126410i	$0.959654\pi$
$284$	−4.65630	+	14.3306i	−0.276301	+	0.850366i
$285$	−1.67232	−	7.00715i	−0.0990595	−	0.415068i
$286$	2.72024	+	8.37203i	0.160851	+	0.495049i
$287$	−14.1493	+	7.20945i	−0.835210	+	0.425561i
$288$	2.35633	+	1.85680i	0.138848	+	0.109413i
$289$	14.2308	−	4.62387i	0.837106	−	0.271992i
$290$	10.3734	+	7.25219i	0.609149	+	0.425863i
$291$	0.596229	−	6.06002i	0.0349516	−	0.355244i
$292$	−9.13189	+	1.44635i	−0.534403	+	0.0846412i
$293$	1.45604	−	1.45604i	0.0850625	−	0.0850625i	−0.663295	−	0.748358i	$-0.730843\pi$
$293$	1.45604	−	1.45604i	0.0850625	−	0.0850625i	0.748358	+	0.663295i	$0.230843\pi$
$294$	−17.0159	−	7.44083i	−0.992389	−	0.433958i
$295$	−11.7034	−	21.9719i	−0.681397	−	1.27925i
$296$	−1.51351	−	2.08317i	−0.0879710	−	0.121082i
$297$	−22.8318	+	12.2129i	−1.32483	+	0.708665i
$298$	2.33020	−	4.57327i	0.134985	−	0.264922i
$299$	3.70284			0.214141
$300$	−6.48963	+	5.73451i	−0.374679	+	0.331082i
$301$	−37.2993			−2.14990
$302$	9.13947	−	17.9372i	0.525917	−	1.03217i
$303$	1.70317	+	28.8299i	0.0978446	+	1.65624i
$304$	1.09331	+	1.50481i	0.0627057	+	0.0863069i
$305$	−19.5169	−	9.50124i	−1.11753	−	0.544040i
$306$	4.19945	+	0.834422i	0.240066	+	0.0477007i
$307$	−11.9806	+	11.9806i	−0.683767	+	0.683767i	−0.960847	−	0.277080i	$-0.910633\pi$
$307$	−11.9806	+	11.9806i	−0.683767	+	0.683767i	0.277080	+	0.960847i	$0.410633\pi$
$308$	−20.7196	+	3.28166i	−1.18061	+	0.186990i
$309$	−4.57293	−	0.449918i	−0.260145	−	0.0255950i
$310$	−4.22290	+	13.8489i	−0.239845	+	0.786565i
$311$	3.64396	−	1.18399i	0.206630	−	0.0671381i	−0.203873	−	0.978997i	$-0.565353\pi$
$311$	3.64396	−	1.18399i	0.206630	−	0.0671381i	0.410503	+	0.911859i	$0.365353\pi$
$312$	−2.36502	+	1.94133i	−0.133893	+	0.109906i
$313$	20.3753	−	10.3817i	1.15168	−	0.586809i	0.229398	−	0.973333i	$-0.426324\pi$
$313$	20.3753	−	10.3817i	1.15168	−	0.586809i	0.922280	+	0.386523i	$0.126324\pi$
$314$	3.11815	+	9.59669i	0.175968	+	0.541573i
$315$	3.83456	+	27.9786i	0.216053	+	1.57642i
$316$	1.15889	−	3.56669i	0.0651926	−	0.200642i
$317$	1.36994	+	8.64943i	0.0769432	+	0.485800i	0.995826	+	0.0912701i	$0.0290927\pi$
$317$	1.36994	+	8.64943i	0.0769432	+	0.485800i	−0.918883	+	0.394530i	$0.870907\pi$
$318$	7.47063	+	4.78118i	0.418932	+	0.268115i
$319$	16.5794	−	22.8195i	0.928266	−	1.27765i
$320$	0.978749	−	2.01048i	0.0547138	−	0.112390i
$321$	15.2916	+	13.5856i	0.853494	+	0.758276i
$322$	−1.38040	+	8.71548i	−0.0769265	+	0.485695i
$323$	2.36529	+	1.20518i	0.131608	+	0.0670578i
$324$	−6.84606	−	5.84221i	−0.380337	−	0.324567i
$325$	−4.29355	−	7.71897i	−0.238163	−	0.428172i
$326$			5.62029i			0.311279i
$327$	−22.3214	−	5.82224i	−1.23438	−	0.321971i
$328$	−3.72576	−	0.590102i	−0.205721	−	0.0325829i
$329$	15.9436	−	11.5837i	0.878999	−	0.638630i
$330$	12.5143	+	14.6923i	0.688888	+	0.808782i
$331$	4.85309	+	3.52598i	0.266750	+	0.193805i	0.713118	−	0.701044i	$-0.247283\pi$
$331$	4.85309	+	3.52598i	0.266750	+	0.193805i	−0.446367	+	0.894850i	$0.647283\pi$
$332$	−11.9305	−	11.9305i	−0.654773	−	0.654773i
$333$	4.29300	+	6.42206i	0.235255	+	0.351927i
$334$	15.9471	+	5.18154i	0.872588	+	0.283521i
$335$	−8.29320	+	11.8625i	−0.453106	+	0.648116i
$336$	−3.68769	−	6.29032i	−0.201180	−	0.343165i
$337$	1.10341	+	2.16556i	0.0601063	+	0.117965i	0.919105	−	0.394012i	$-0.128913\pi$
$337$	1.10341	+	2.16556i	0.0601063	+	0.117965i	−0.858999	+	0.511977i	$0.828913\pi$
$338$	4.48512	+	8.80254i	0.243958	+	0.478795i
$339$	1.31099	+	2.23624i	0.0712035	+	0.121456i
$340$	−0.0580418	−	3.19074i	−0.00314776	−	0.173042i
$341$	30.6862	+	9.97055i	1.66175	+	0.539935i
$342$	−3.10112	−	4.63909i	−0.167690	−	0.250853i
$343$	11.0807	+	11.0807i	0.598299	+	0.598299i
$344$	−7.16799	−	5.20785i	−0.386472	−	0.280788i
$345$	7.50434	−	3.09660i	0.404020	−	0.166715i
$346$	−3.62129	+	2.63102i	−0.194682	+	0.141445i
$347$	−22.4456	−	3.55504i	−1.20494	−	0.190844i	−0.478511	−	0.878082i	$-0.658823\pi$
$347$	−22.4456	−	3.55504i	−1.20494	−	0.190844i	−0.726433	+	0.687237i	$0.758823\pi$
$348$	9.48674	+	2.47449i	0.508543	+	0.132646i
$349$			12.5328i			0.670865i	0.942064	+	0.335432i	$0.108882\pi$
$349$			12.5328i			0.670865i	−0.942064	+	0.335432i	$0.891118\pi$
$350$	19.7690	−	7.22826i	1.05670	−	0.386367i
$351$	7.31708	−	5.54245i	0.390557	−	0.295834i
$352$	−4.43998	−	2.26228i	−0.236651	−	0.120580i
$353$	1.11770	−	7.05688i	0.0594892	−	0.375600i	−0.939925	−	0.341381i	$-0.889106\pi$
$353$	1.11770	−	7.05688i	0.0594892	−	0.375600i	0.999414	−	0.0342193i	$-0.0108945\pi$
$354$	−14.4156	−	12.8074i	−0.766181	−	0.680704i
$355$	−33.3689	−	4.66467i	−1.77104	−	0.247575i
$356$	−0.667929	+	0.919325i	−0.0354002	+	0.0487241i
$357$	−8.76503	−	5.60959i	−0.463894	−	0.296891i
$358$	0.0272918	+	0.172313i	0.00144241	+	0.00910704i
$359$	−3.28973	+	10.1247i	−0.173625	+	0.534363i	−0.999568	−	0.0293907i	$-0.990643\pi$
$359$	−3.28973	+	10.1247i	−0.173625	+	0.534363i	0.825943	+	0.563754i	$0.190643\pi$
$360$	−3.16956	+	5.91218i	−0.167050	+	0.311599i
$361$	4.80219	+	14.7796i	0.252747	+	0.777875i
$362$	10.1373	−	5.16520i	0.532803	−	0.271477i
$363$	18.5171	−	15.1998i	0.971894	−	0.797780i
$364$	7.07281	−	2.29810i	0.370716	−	0.120453i
$365$	−6.74519	−	19.5427i	−0.353059	−	1.02291i
$366$	−16.7331	−	1.64633i	−0.874656	−	0.0860551i
$367$	4.14629	−	0.656708i	0.216435	−	0.0342799i	−0.0472753	−	0.998882i	$-0.515054\pi$
$367$	4.14629	−	0.656708i	0.216435	−	0.0342799i	0.263710	+	0.964602i	$0.415054\pi$
$368$	−1.48216	+	1.48216i	−0.0772630	+	0.0772630i
$369$	11.0996	+	2.20547i	0.577822	+	0.114812i
$370$	3.99661	−	4.14471i	0.207774	−	0.215473i
$371$	−12.6714	−	17.4406i	−0.657865	−	0.905473i
$372$	0.661387	+	11.1954i	0.0342913	+	0.580456i
$373$	−2.06631	+	4.05536i	−0.106990	+	0.209979i	−0.938294	−	0.345838i	$-0.887595\pi$
$373$	−2.06631	+	4.05536i	−0.106990	+	0.209979i	0.831305	+	0.555817i	$0.187595\pi$
$374$	−7.11179			−0.367742
$375$	−15.1567	−	12.0530i	−0.782688	−	0.622415i
$376$	4.68132			0.241420
$377$	−4.53964	+	8.90954i	−0.233803	+	0.458864i
$378$	10.3176	+	19.2886i	0.530682	+	0.992099i
$379$	19.3891	+	26.6869i	0.995954	+	1.37081i	0.927775	+	0.373139i	$0.121719\pi$
$379$	19.3891	+	26.6869i	0.995954	+	1.37081i	0.0681783	+	0.997673i	$0.478281\pi$
$380$	−2.88702	+	2.99400i	−0.148101	+	0.153589i
$381$	2.46210	+	1.07664i	0.126137	+	0.0551581i
$382$	13.0504	−	13.0504i	0.667715	−	0.667715i
$383$	16.8791	−	2.67339i	0.862482	−	0.136604i	0.290505	−	0.956873i	$-0.406177\pi$
$383$	16.8791	−	2.67339i	0.862482	−	0.136604i	0.571977	+	0.820270i	$0.306177\pi$
$384$	0.169593	−	1.72373i	0.00865451	−	0.0879636i
$385$	−15.3043	−	44.3410i	−0.779980	−	2.25983i
$386$	−4.45958	+	1.44901i	−0.226987	+	0.0737525i
$387$	20.8774	+	16.4514i	1.06126	+	0.836274i
$388$	−3.13246	+	1.59607i	−0.159027	+	0.0810281i
$389$	−4.34112	−	13.3606i	−0.220104	−	0.677409i	−0.998752	−	0.0499484i	$-0.984094\pi$
$389$	−4.34112	−	13.3606i	−0.220104	−	0.677409i	0.778648	−	0.627461i	$-0.215906\pi$
$390$	−5.19657	−	4.45038i	−0.263139	−	0.225354i
$391$	−0.924425	+	2.84509i	−0.0467502	+	0.143882i
$392$	1.67735	+	10.5904i	0.0847189	+	0.534894i
$393$	−5.94477	+	9.28875i	−0.299874	+	0.468556i
$394$	−7.45354	+	10.2589i	−0.375504	+	0.516837i
$395$	8.30504	+	1.16097i	0.417872	+	0.0584147i
$396$	13.0447	+	7.30186i	0.655521	+	0.366932i
$397$	−0.577115	+	3.64376i	−0.0289646	+	0.182875i	−0.997929	−	0.0643251i	$-0.979511\pi$
$397$	−0.577115	+	3.64376i	−0.0289646	+	0.182875i	0.968964	+	0.247200i	$0.0795105\pi$
$398$	−1.44880	−	0.738199i	−0.0726216	−	0.0370026i
$399$	2.90798	+	13.2473i	0.145581	+	0.663194i
$400$	4.80833	+	1.37112i	0.240417	+	0.0685558i
$401$		−	29.3144i		−	1.46389i	−0.681364	−	0.731945i	$-0.738613\pi$
$401$		−	29.3144i		−	1.46389i	0.681364	−	0.731945i	$-0.261387\pi$
$402$	−2.82969	+	10.8485i	−0.141132	+	0.541074i
$403$	−11.2975	−	1.78935i	−0.562768	−	0.0891336i
$404$	13.4895	−	9.80073i	0.671130	−	0.487604i
$405$	10.1941	−	17.3517i	0.506549	−	0.862211i
$406$	−19.2783	−	14.0065i	−0.956764	−	0.695130i
$407$	−9.07301	−	9.07301i	−0.449732	−	0.449732i
$408$	−0.901190	−	2.30182i	−0.0446155	−	0.113957i
$409$	7.27469	+	2.36369i	0.359710	+	0.116877i	0.483296	−	0.875457i	$-0.339439\pi$
$409$	7.27469	+	2.36369i	0.359710	+	0.116877i	−0.123586	+	0.992334i	$0.539439\pi$
$410$	−0.153411	−	8.43350i	−0.00757643	−	0.416501i
$411$	6.13986	−	3.59948i	0.302857	−	0.177549i
$412$	1.20440	+	2.36378i	0.0593368	+	0.116455i
$413$	21.2777	+	41.7598i	1.04701	+	2.05487i
$414$	4.61674	−	4.26944i	0.226901	−	0.209831i
$415$	21.6169	−	30.9206i	1.06113	−	1.51783i
$416$	1.68008	+	0.545893i	0.0823729	+	0.0267646i
$417$	−17.2270	+	6.74458i	−0.843611	+	0.330283i
$418$	6.55405	+	6.55405i	0.320569	+	0.320569i
$419$	8.86483	+	6.44067i	0.433075	+	0.314648i	0.782877	−	0.622176i	$-0.213751\pi$
$419$	8.86483	+	6.44067i	0.433075	+	0.314648i	−0.349802	+	0.936824i	$0.613751\pi$
$420$	12.4122	−	10.5722i	0.605655	−	0.515872i
$421$	−11.3681	+	8.25943i	−0.554048	+	0.402540i	−0.829276	−	0.558839i	$-0.811247\pi$
$421$	−11.3681	+	8.25943i	−0.554048	+	0.402540i	0.275227	+	0.961379i	$0.411247\pi$
$422$	−11.9302	−	1.88956i	−0.580753	−	0.0919823i
$423$	−14.0332	−	0.548470i	−0.682319	−	0.0266675i
$424$		−	5.12087i		−	0.248692i
$425$	7.00279	−	1.37190i	0.339685	−	0.0665467i
$426$	−25.4918	+	5.59582i	−1.23508	+	0.271119i
$427$	36.4125	+	18.5531i	1.76213	+	0.897848i
$428$	1.84743	−	11.6642i	0.0892991	−	0.563812i
$429$	−10.1267	+	11.3983i	−0.488922	+	0.550316i
$430$	8.67184	−	17.8131i	0.418193	−	0.859026i
$431$	−2.55158	+	3.51195i	−0.122905	+	0.169164i	−0.866036	−	0.499982i	$-0.833340\pi$
$431$	−2.55158	+	3.51195i	−0.122905	+	0.169164i	0.743131	+	0.669146i	$0.233340\pi$
$432$	−0.710346	+	5.14737i	−0.0341765	+	0.247653i
$433$	1.22781	+	7.75206i	0.0590046	+	0.372540i	0.999467	+	0.0326428i	$0.0103924\pi$
$433$	1.22781	+	7.75206i	0.0590046	+	0.372540i	−0.940463	+	0.339897i	$0.889608\pi$
$434$	8.42326	−	25.9241i	0.404329	−	1.24440i
$435$	−1.74939	+	21.8528i	−0.0838770	+	1.04776i
$436$	4.11563	+	12.6666i	0.197103	+	0.606621i
$437$	3.47389	−	1.77004i	0.166179	−	0.0846723i
$438$	−10.1605	−	12.3780i	−0.485487	−	0.591443i
$439$	−19.1294	+	6.21551i	−0.912994	+	0.296650i	−0.727590	−	0.686012i	$-0.759360\pi$
$439$	−19.1294	+	6.21551i	−0.912994	+	0.296650i	−0.185405	+	0.982662i	$0.559360\pi$
$440$	3.24993	−	10.6581i	0.154934	−	0.508104i
$441$	−3.78742	−	31.9434i	−0.180353	−	1.52111i
$442$	2.49014	−	0.394399i	0.118444	−	0.0187597i
$443$	11.8995	−	11.8995i	0.565363	−	0.565363i	−0.365463	−	0.930826i	$-0.619089\pi$
$443$	11.8995	−	11.8995i	0.565363	−	0.565363i	0.930826	+	0.365463i	$0.119089\pi$
$444$	1.78689	−	4.08631i	0.0848019	−	0.193928i
$445$	−2.28461	−	1.11220i	−0.108301	−	0.0527233i
$446$	−3.65892	−	5.03607i	−0.173255	−	0.238465i
$447$	8.87463	−	0.524282i	0.419755	−	0.0247977i
$448$	−1.91121	+	3.75095i	−0.0902960	+	0.177216i
$449$	−3.55771			−0.167899			−0.0839495	−	0.996470i	$-0.526753\pi$
$449$	−3.55771			−0.167899			−0.0839495	+	0.996470i	$0.526753\pi$
$450$	−14.2533	−	4.67356i	−0.671909	−	0.220314i
$451$	−18.7973			−0.885128
$452$	0.679445	−	1.33349i	0.0319584	−	0.0627219i
$453$	34.8079	−	2.05633i	1.63542	−	0.0966149i
$454$	5.38142	+	7.40689i	0.252563	+	0.347623i
$455$	7.81772	+	14.6769i	0.366500	+	0.688066i
$456$	−1.29079	+	2.95182i	−0.0604468	+	0.138232i
$457$	−13.4412	+	13.4412i	−0.628754	+	0.628754i	−0.947754	−	0.319001i	$-0.896653\pi$
$457$	−13.4412	+	13.4412i	−0.628754	+	0.628754i	0.319001	+	0.947754i	$0.396653\pi$
$458$	18.2678	−	2.89333i	0.853597	−	0.135196i
$459$	2.43182	+	7.00579i	0.113508	+	0.327002i
$460$	−3.84135	−	2.68553i	−0.179104	−	0.125214i
$461$	30.4642	−	9.89843i	1.41886	−	0.461016i	0.503621	−	0.863925i	$-0.332001\pi$
$461$	30.4642	−	9.89843i	1.41886	−	0.461016i	0.915240	+	0.402908i	$0.132001\pi$
$462$	−23.0534	−	28.0847i	−1.07254	−	1.30662i
$463$	2.76320	−	1.40792i	0.128417	−	0.0654317i	−0.388602	−	0.921406i	$-0.627042\pi$
$463$	2.76320	−	1.40792i	0.128417	−	0.0654317i	0.517019	+	0.855974i	$0.327042\pi$
$464$	−1.74917	−	5.38339i	−0.0812031	−	0.249918i
$465$	−24.3924	+	5.82144i	−1.13117	+	0.269963i
$466$	−4.25650	+	13.1002i	−0.197179	+	0.606853i
$467$	−6.20197	−	39.1577i	−0.286993	−	1.81200i	−0.536804	−	0.843707i	$-0.680368\pi$
$467$	−6.20197	−	39.1577i	−0.286993	−	1.81200i	0.249811	−	0.968295i	$-0.419632\pi$
$468$	−4.97245	−	1.83327i	−0.229852	−	0.0847429i
$469$	16.0170	−	22.0455i	0.739598	−	1.01797i
$470$	1.82528	+	10.3074i	0.0841941	+	0.475444i
$471$	−11.6080	+	13.0657i	−0.534870	+	0.602034i
$472$	−1.74160	+	10.9960i	−0.0801638	+	0.506134i
$473$	−39.3387	−	20.0441i	−1.80880	−	0.921628i
$474$	6.34454	−	1.39272i	0.291415	−	0.0639698i
$475$	−7.71790	−	5.18929i	−0.354122	−	0.238101i
$476$			6.00814i			0.275383i
$477$	−0.599970	+	15.3509i	−0.0274707	+	0.702869i
$478$	−20.4797	−	3.24367i	−0.936721	−	0.148362i
$479$	−10.9031	+	7.92157i	−0.498176	+	0.361946i	−0.808320	−	0.588744i	$-0.799623\pi$
$479$	−10.9031	+	7.92157i	−0.498176	+	0.361946i	0.310144	+	0.950690i	$0.399623\pi$
$480$	3.86145	−	0.298684i	0.176250	−	0.0136330i
$481$	3.68001	+	2.67368i	0.167794	+	0.121910i
$482$	4.39969	+	4.39969i	0.200400	+	0.200400i
$483$	−14.2319	+	5.57197i	−0.647576	+	0.253533i
$484$	−13.1543	−	4.27411i	−0.597925	−	0.194278i
$485$	−4.73562	−	6.27477i	−0.215033	−	0.284923i
$486$	2.73249	−	15.3471i	0.123948	−	0.696159i
$487$	0.947305	+	1.85919i	0.0429265	+	0.0842480i	0.911473	−	0.411359i	$-0.134946\pi$
$487$	0.947305	+	1.85919i	0.0429265	+	0.0842480i	−0.868547	+	0.495607i	$0.834946\pi$
$488$	4.40713	+	8.64948i	0.199501	+	0.391543i
$489$	−8.39789	+	4.92325i	−0.379766	+	0.222637i
$490$	−22.6640	+	7.82247i	−1.02385	+	0.353383i
$491$	−15.8067	−	5.13592i	−0.713348	−	0.231781i	−0.0702111	−	0.997532i	$-0.522367\pi$
$491$	−15.8067	−	5.13592i	−0.713348	−	0.231781i	−0.643137	+	0.765751i	$0.722367\pi$
$492$	−2.38195	−	6.08398i	−0.107386	−	0.274287i
$493$	−5.71233	−	5.71233i	−0.257270	−	0.257270i
$494$	−2.65832	−	1.93138i	−0.119604	−	0.0868970i
$495$	−10.9911	+	31.5690i	−0.494012	+	1.41892i
$496$	5.23835	−	3.80588i	0.235209	−	0.170889i
$497$	62.6527	+	9.92321i	2.81036	+	0.445117i
$498$	7.37582	−	28.2776i	0.330519	−	1.26715i
$499$		−	36.0457i		−	1.61363i	−0.590806	−	0.806813i	$-0.701190\pi$
$499$		−	36.0457i		−	1.61363i	0.590806	−	0.806813i	$-0.298810\pi$
$500$	−1.14413	+	11.1216i	−0.0511671	+	0.497375i
$501$	6.22704	+	28.3673i	0.278203	+	1.26736i
$502$	−3.35817	−	1.71107i	−0.149882	−	0.0763689i
$503$	4.92776	−	31.1126i	0.219718	−	1.38724i	−0.593289	−	0.804990i	$-0.702171\pi$
$503$	4.92776	−	31.1126i	0.219718	−	1.38724i	0.813007	−	0.582255i	$-0.197829\pi$
$504$	6.16871	−	11.0204i	0.274776	−	0.490886i
$505$	26.8390	+	25.8800i	1.19432	+	1.15165i
$506$	−6.13944	+	8.45021i	−0.272931	+	0.375658i
$507$	−9.22397	+	14.4125i	−0.409651	+	0.640083i
$508$	−0.242702	−	1.53236i	−0.0107682	−	0.0679876i
$509$	0.189892	−	0.584428i	0.00841683	−	0.0259043i	−0.946760	−	0.321941i	$-0.895665\pi$
$509$	0.189892	−	0.584428i	0.00841683	−	0.0259043i	0.955177	+	0.296036i	$0.0956649\pi$
$510$	4.71680	−	2.88175i	0.208863	−	0.127606i
$511$	12.0277	+	37.0176i	0.532076	+	1.63756i
$512$	−0.891007	+	0.453990i	−0.0393773	+	0.0200637i
$513$	4.21525	−	8.69747i	0.186108	−	0.384003i
$514$	29.2797	−	9.51354i	1.29147	−	0.419624i
$515$	−4.73498	+	3.57353i	−0.208648	+	0.157468i
$516$	1.50261	−	15.2724i	0.0661489	−	0.672332i
$517$	23.0403	−	3.64922i	1.01331	−	0.160493i
$518$	−7.66501	+	7.66501i	−0.336781	+	0.336781i
$519$	−7.10348	−	3.10625i	−0.311808	−	0.136349i
$520$	−0.546873	+	3.91208i	−0.0239820	+	0.171556i
$521$	−19.3712	−	26.6622i	−0.848668	−	1.16809i	−0.984155	−	0.177312i	$-0.943260\pi$
$521$	−19.3712	−	26.6622i	−0.848668	−	1.16809i	0.135487	−	0.990779i	$-0.456740\pi$
$522$	4.61278	+	16.3428i	0.201896	+	0.715304i
$523$	−18.1177	+	35.5580i	−0.792232	+	1.55484i	0.0392100	+	0.999231i	$0.487516\pi$
$523$	−18.1177	+	35.5580i	−0.792232	+	1.55484i	−0.831442	+	0.555612i	$0.812484\pi$
$524$	6.36713			0.278150
$525$	28.1177	+	23.2072i	1.22716	+	1.01284i
$526$	−5.54358			−0.241712
$527$	4.19530	−	8.23373i	0.182750	−	0.358667i
$528$	−0.509001	−	8.61596i	−0.0221514	−	0.374962i
$529$	−10.9366	−	15.0529i	−0.475503	−	0.654474i
$530$	11.2752	−	1.99667i	0.489763	−	0.0867299i
$531$	6.50914	−	32.7589i	0.282472	−	1.42162i
$532$	5.53695	−	5.53695i	0.240057	−	0.240057i
$533$	6.58172	−	1.04244i	0.285086	−	0.0451532i
$534$	−1.95876	−	0.192717i	−0.0847636	−	0.00833967i
$535$	26.4028	−	0.480284i	1.14149	−	0.0207645i
$536$	6.15614	−	2.00025i	0.265905	−	0.0863977i
$537$	−0.233565	+	0.191722i	−0.0100791	+	0.00827343i
$538$	3.08583	−	1.57231i	0.133040	−	0.0677872i
$539$	16.5110	+	50.8156i	0.711178	+	2.18878i
$540$	−11.6105	+	0.442956i	−0.499637	+	0.0190618i
$541$	7.82078	−	24.0699i	0.336242	−	1.03485i	−0.629865	−	0.776704i	$-0.716890\pi$
$541$	7.82078	−	24.0699i	0.336242	−	1.03485i	0.966107	−	0.258141i	$-0.0831100\pi$
$542$	0.736991	+	4.65318i	0.0316565	+	0.199871i
$543$	16.5979	+	10.6226i	0.712285	+	0.455860i
$544$	−0.838876	+	1.15461i	−0.0359665	+	0.0495036i
$545$	−26.2848	+	14.0007i	−1.12592	+	0.599723i
$546$	9.62947	+	8.55518i	0.412103	+	0.366128i
$547$	6.44292	−	40.6790i	0.275479	−	1.73931i	−0.330482	−	0.943812i	$-0.607211\pi$
$547$	6.44292	−	40.6790i	0.275479	−	1.73931i	0.605961	−	0.795495i	$-0.292789\pi$
$548$	−3.66124	−	1.86549i	−0.156400	−	0.0796899i
$549$	−12.1979	−	26.4450i	−0.520594	−	1.12864i
$550$	24.7342	+	3.00006i	1.05467	+	0.127923i
$551$			10.5287i			0.448537i
$552$	−3.51300	−	0.916318i	−0.149523	−	0.0390011i
$553$	−15.5934	−	2.46975i	−0.663098	−	0.105024i
$554$	−20.1331	+	14.6276i	−0.855375	+	0.621466i
$555$	9.69401	+	2.34110i	0.411488	+	0.0993742i
$556$	8.64122	+	6.27821i	0.366469	+	0.266256i
$557$	−17.7694	−	17.7694i	−0.752915	−	0.752915i	0.222107	−	0.975022i	$-0.428707\pi$
$557$	−17.7694	−	17.7694i	−0.752915	−	0.752915i	−0.975022	+	0.222107i	$0.928707\pi$
$558$	−16.1490	+	10.7952i	−0.683640	+	0.456998i
$559$	14.8858	+	4.83667i	0.629600	+	0.204570i
$560$	−9.00409	−	2.74559i	−0.380492	−	0.116022i
$561$	−6.22977	−	10.6265i	−0.263021	−	0.448651i
$562$	4.38632	+	8.60864i	0.185026	+	0.363133i
$563$	4.70734	+	9.23868i	0.198391	+	0.389364i	0.968673	−	0.248339i	$-0.0798847\pi$
$563$	4.70734	+	9.23868i	0.198391	+	0.389364i	−0.770282	+	0.637703i	$0.779885\pi$
$564$	4.10073	+	6.99487i	0.172672	+	0.294537i
$565$	3.20101	+	0.976072i	0.134667	+	0.0410637i
$566$	−0.970373	−	0.315293i	−0.0407878	−	0.0132528i
$567$	−19.7832	+	32.3131i	−0.830816	+	1.35702i
$568$	10.6548	+	10.6548i	0.447064	+	0.447064i
$569$	15.6879	+	11.3979i	0.657671	+	0.477826i	0.865876	−	0.500259i	$-0.166762\pi$
$569$	15.6879	+	11.3979i	0.657671	+	0.477826i	−0.208205	+	0.978085i	$0.566762\pi$
$570$	−7.00264	−	1.69114i	−0.293308	−	0.0708339i
$571$	14.7088	−	10.6866i	0.615544	−	0.447219i	−0.235818	−	0.971797i	$-0.575777\pi$
$571$	14.7088	−	10.6866i	0.615544	−	0.447219i	0.851362	+	0.524579i	$0.175777\pi$
$572$	8.69450	+	1.37707i	0.363535	+	0.0575783i
$573$	30.9318	+	8.06815i	1.29220	+	0.337052i
$574$			15.8802i			0.662826i
$575$	4.41526	−	9.50503i	0.184129	−	0.396387i
$576$	2.72417	−	1.25654i	0.113507	−	0.0523559i
$577$	−5.29743	−	2.69918i	−0.220535	−	0.112368i	0.340233	−	0.940341i	$-0.389494\pi$
$577$	−5.29743	−	2.69918i	−0.220535	−	0.112368i	−0.560768	+	0.827973i	$0.689494\pi$
$578$	2.34075	−	14.7789i	0.0973625	−	0.614723i
$579$	−6.07162	−	5.39425i	−0.252328	−	0.224177i
$580$	11.1712	−	5.95037i	0.463858	−	0.247076i
$581$	−41.7498	+	57.4636i	−1.73207	+	2.38399i
$582$	−5.12883	−	3.28243i	−0.212597	−	0.136061i
$583$	−3.99187	−	25.2037i	−0.165326	−	1.04383i
$584$	−2.85708	+	8.79320i	−0.118227	+	0.363865i
$585$	2.09771	−	11.6632i	0.0867298	−	0.482214i
$586$	−0.636311	−	1.95836i	−0.0262858	−	0.0808992i
$587$	−23.3146	+	11.8794i	−0.962295	+	0.490314i	−0.863254	−	0.504770i	$-0.831577\pi$
$587$	−23.3146	+	11.8794i	−0.962295	+	0.490314i	−0.0990406	+	0.995083i	$0.531577\pi$
$588$	−14.3549	+	11.7832i	−0.591986	+	0.485932i
$589$	−11.4543	+	3.72172i	−0.471966	+	0.153351i
$590$	−24.8903	+	0.452771i	−1.02472	+	0.0186403i
$591$	−21.8581	−	2.15056i	−0.899122	−	0.0884623i
$592$	−2.54323	+	0.402809i	−0.104526	+	0.0165553i
$593$	−23.6228	+	23.6228i	−0.970072	+	0.970072i	−0.999565	−	0.0294930i	$-0.990611\pi$
$593$	−23.6228	+	23.6228i	−0.970072	+	0.970072i	0.0294930	+	0.999565i	$0.490611\pi$
$594$	0.516378	+	25.8878i	0.0211872	+	1.06219i
$595$	−13.2288	+	2.34262i	−0.542327	+	0.0960382i
$596$	−3.01693	−	4.15244i	−0.123578	−	0.170091i
$597$	−0.166091	−	2.81145i	−0.00679764	−	0.115065i
$598$	1.68106	−	3.29926i	0.0687435	−	0.134917i
$599$	−7.73976			−0.316238			−0.158119	−	0.987420i	$-0.550543\pi$
$599$	−7.73976			−0.316238			−0.158119	+	0.987420i	$0.550543\pi$
$600$	2.16326	+	8.38572i	0.0883146	+	0.342346i
$601$	−16.7407			−0.682866			−0.341433	−	0.939906i	$-0.610912\pi$
$601$	−16.7407			−0.682866			−0.341433	+	0.939906i	$0.610912\pi$
$602$	−16.9335	+	33.2339i	−0.690159	+	1.35451i
$603$	−18.6887	+	5.27491i	−0.761062	+	0.214811i
$604$	−11.8329	−	16.2867i	−0.481476	−	0.662695i
$605$	4.28178	−	30.6299i	0.174079	−	1.24528i
$606$	26.4609	+	11.5710i	1.07490	+	0.470039i
$607$	22.6982	−	22.6982i	0.921293	−	0.921293i	−0.0758281	−	0.997121i	$-0.524160\pi$
$607$	22.6982	−	22.6982i	0.921293	−	0.921293i	0.997121	+	0.0758281i	$0.0241600\pi$
$608$	1.83715	−	0.290976i	0.0745063	−	0.0118006i
$609$	4.04127	−	41.0751i	0.163761	−	1.66445i
$610$	−17.3261	+	13.0762i	−0.701515	+	0.529439i
$611$	−7.86501	+	2.55550i	−0.318184	+	0.103384i
$612$	2.64998	−	3.36291i	0.107119	−	0.135938i
$613$	−38.6048	+	19.6701i	−1.55923	+	0.794470i	−0.999417	−	0.0341460i	$-0.989129\pi$
$613$	−38.6048	+	19.6701i	−1.55923	+	0.794470i	−0.559818	+	0.828616i	$0.689129\pi$
$614$	5.23570	+	16.1138i	0.211296	+	0.650301i
$615$	12.4670	−	7.61679i	0.502719	−	0.307139i
$616$	−6.48251	+	19.9511i	−0.261188	+	0.803853i
$617$	3.81403	+	24.0808i	0.153547	+	0.969458i	0.937335	+	0.348429i	$0.113285\pi$
$617$	3.81403	+	24.0808i	0.153547	+	0.969458i	−0.783788	+	0.621028i	$0.786715\pi$
$618$	−2.47695	+	3.87025i	−0.0996374	+	0.155684i
$619$	−23.7633	+	32.7074i	−0.955130	+	1.31462i	−0.00591868	+	0.999982i	$0.501884\pi$
$619$	−23.7633	+	32.7074i	−0.955130	+	1.31462i	−0.949211	+	0.314641i	$0.898116\pi$
$620$	10.4223	+	10.0499i	0.418570	+	0.403614i
$621$	10.4236	+	3.15845i	0.418285	+	0.126744i
$622$	0.599376	−	3.78431i	0.0240328	−	0.151737i
$623$	4.26239	+	2.17180i	0.170769	+	0.0870112i
$624$	0.656040	+	2.98859i	0.0262626	+	0.119639i
$625$	−24.9339	+	1.81726i	−0.997355	+	0.0726905i
$626$		−	22.8677i		−	0.913977i
$627$	−4.05192	+	15.5343i	−0.161818	+	0.620381i
$628$	9.96632	+	1.57851i	0.397700	+	0.0629894i
$629$	−2.97306	+	2.16005i	−0.118544	+	0.0861269i
$630$	26.6700	+	9.28541i	1.06256	+	0.369940i
$631$	−19.6592	−	14.2832i	−0.782619	−	0.568606i	0.123145	−	0.992389i	$-0.460702\pi$
$631$	−19.6592	−	14.2832i	−0.782619	−	0.568606i	−0.905764	+	0.423783i	$0.860702\pi$
$632$	−2.65182	−	2.65182i	−0.105484	−	0.105484i
$633$	−7.62720	−	19.4814i	−0.303154	−	0.774318i
$634$	8.32864	+	2.70614i	0.330772	+	0.107474i
$635$	3.27934	−	1.13187i	0.130137	−	0.0449167i
$636$	7.65166	−	4.48577i	0.303408	−	0.177873i
$637$	−8.59929	−	16.8771i	−0.340716	−	0.668693i
$638$	−12.8055	−	25.1322i	−0.506974	−	0.994992i
$639$	−30.6916	−	33.1882i	−1.21414	−	1.31291i
$640$	−1.34701	−	1.78481i	−0.0532453	−	0.0705509i
$641$	−8.76326	−	2.84736i	−0.346128	−	0.112464i	0.130794	−	0.991410i	$-0.458247\pi$
$641$	−8.76326	−	2.84736i	−0.346128	−	0.112464i	−0.476922	+	0.878946i	$0.658247\pi$
$642$	19.0471	−	7.45716i	0.751730	−	0.294311i
$643$	−32.6751	−	32.6751i	−1.28858	−	1.28858i	−0.935649	−	0.352932i	$-0.885185\pi$
$643$	−32.6751	−	32.6751i	−1.28858	−	1.28858i	−0.352932	−	0.935649i	$-0.614815\pi$
$644$	7.13886	+	5.18669i	0.281311	+	0.204384i
$645$	34.2129	−	2.64638i	1.34713	−	0.104201i
$646$	2.14764	−	1.56035i	0.0844978	−	0.0613912i
$647$	48.0211	+	7.60579i	1.88790	+	0.299015i	0.989988	−	0.141152i	$-0.0450807\pi$
$647$	48.0211	+	7.60579i	1.88790	+	0.299015i	0.897916	+	0.440167i	$0.145081\pi$
$648$	−8.31350	+	3.44758i	−0.326585	+	0.135434i
$649$			55.4774i			2.17768i
$650$	−8.82688	+	0.321240i	−0.346219	+	0.0126001i
$651$	46.1147	−	10.1229i	1.80738	−	0.396746i
$652$	5.00771	+	2.55156i	0.196117	+	0.0999267i
$653$	−3.10987	+	19.6349i	−0.121699	+	0.768375i	0.849056	+	0.528302i	$0.177171\pi$
$653$	−3.10987	+	19.6349i	−0.121699	+	0.768375i	−0.970755	+	0.240073i	$0.922829\pi$
$654$	−15.3214	+	17.2453i	−0.599113	+	0.674345i
$655$	2.48260	+	14.0192i	0.0970032	+	0.547777i
$656$	−2.21724	+	3.05177i	−0.0865688	+	0.119152i
$657$	9.59494	−	26.0247i	0.374334	−	1.01532i
$658$	−3.08291	−	19.4647i	−0.120184	−	0.758815i
$659$	9.29483	−	28.6066i	0.362075	−	1.11435i	−0.589717	−	0.807610i	$-0.700761\pi$
$659$	9.29483	−	28.6066i	0.362075	−	1.11435i	0.951792	−	0.306743i	$-0.0992393\pi$
$660$	18.7723	−	4.48016i	0.730709	−	0.174390i
$661$	−4.51392	−	13.8924i	−0.175571	−	0.540352i	0.824088	−	0.566462i	$-0.191688\pi$
$661$	−4.51392	−	13.8924i	−0.175571	−	0.540352i	−0.999659	+	0.0261096i	$0.991688\pi$
$662$	5.34493	−	2.72338i	0.207736	−	0.105847i
$663$	2.77062	+	3.37531i	0.107602	+	0.131086i
$664$	−16.0465	+	5.21383i	−0.622726	+	0.202336i
$665$	14.3502	+	10.0324i	0.556478	+	0.389041i
$666$	7.67108	−	0.909535i	0.297248	−	0.0352438i
$667$	−11.7187	+	1.85606i	−0.453750	+	0.0718670i
$668$	11.8566	−	11.8566i	0.458747	−	0.458747i
$669$	4.31981	−	9.87868i	0.167014	−	0.381932i
$670$	6.80451	+	12.7747i	0.262881	+	0.493532i
$671$	28.4333	+	39.1351i	1.09766	+	1.51079i
$672$	−7.27889	+	0.430011i	−0.280789	+	0.0165880i
$673$	15.3688	−	30.1630i	0.592425	−	1.16270i	−0.379010	−	0.925392i	$-0.623736\pi$
$673$	15.3688	−	30.1630i	0.592425	−	1.16270i	0.971435	−	0.237306i	$-0.0762645\pi$
$674$	2.43046			0.0936178
$675$	−5.50234	−	25.3914i	−0.211785	−	0.977316i
$676$	9.87932			0.379974
$677$	3.49259	−	6.85459i	0.134231	−	0.263443i	−0.814101	−	0.580724i	$-0.802770\pi$
$677$	3.49259	−	6.85459i	0.134231	−	0.263443i	0.948332	+	0.317280i	$0.102770\pi$
$678$	2.58769	−	0.152871i	0.0993795	−	0.00587099i
$679$	8.69931	+	11.9736i	0.333849	+	0.459503i
$680$	−2.86932	−	1.39685i	−0.110034	−	0.0535668i
$681$	−6.35344	+	14.5292i	−0.243464	+	0.556762i
$682$	22.8151	−	22.8151i	0.873634	−	0.873634i
$683$	−2.86990	+	0.454547i	−0.109814	+	0.0173928i	−0.211099	−	0.977465i	$-0.567704\pi$
$683$	−2.86990	+	0.454547i	−0.109814	+	0.0173928i	0.101286	+	0.994857i	$0.467704\pi$
$684$	−5.54134	+	0.657019i	−0.211878	+	0.0251217i
$685$	2.67992	−	8.78872i	0.102394	−	0.335800i
$686$	14.9035	−	4.84242i	0.569016	−	0.184885i
$687$	20.3254	+	24.7614i	0.775463	+	0.944705i
$688$	−7.89443	+	4.02241i	−0.300972	+	0.153353i
$689$	2.79545	+	8.60350i	0.106498	+	0.327767i
$690$	0.647811	−	8.09224i	0.0246618	−	0.308066i
$691$	−9.12811	+	28.0934i	−0.347249	+	1.06872i	0.613119	+	0.789991i	$0.289915\pi$
$691$	−9.12811	+	28.0934i	−0.347249	+	1.06872i	−0.960368	+	0.278733i	$0.910085\pi$
$692$	0.700227	+	4.42106i	0.0266186	+	0.168063i
$693$	21.7702	−	59.0481i	0.826981	−	2.24305i
$694$	−13.3577	+	18.3852i	−0.507050	+	0.697894i
$695$	−10.4542	+	21.4743i	−0.396549	+	0.814565i
$696$	6.51168	−	7.32936i	0.246824	−	0.277819i
$697$	−0.842182	+	5.31733i	−0.0318999	+	0.201408i
$698$	11.1668	+	5.68977i	0.422670	+	0.215361i
$699$	−23.3030	+	5.11535i	−0.881400	+	0.193480i
$700$	2.53449	−	20.8958i	0.0957949	−	0.789788i
$701$		−	41.1646i		−	1.55476i	−0.629028	−	0.777382i	$-0.716547\pi$
$701$		−	41.1646i		−	1.55476i	0.629028	−	0.777382i	$-0.283453\pi$
$702$	−1.61647	−	9.03579i	−0.0610097	−	0.341034i
$703$	4.73055	+	0.749245i	0.178416	+	0.0282583i
$704$	−4.03141	+	2.92899i	−0.151940	+	0.110391i
$705$	−13.8025	+	11.7564i	−0.519831	+	0.442771i
$706$	−5.78030	−	4.19963i	−0.217544	−	0.158055i
$707$	−49.6347	−	49.6347i	−1.86671	−	1.86671i
$708$	−17.9560	+	7.02998i	−0.674828	+	0.264203i
$709$	16.1533	+	5.24852i	0.606650	+	0.197112i	0.596204	−	0.802833i	$-0.296675\pi$
$709$	16.1533	+	5.24852i	0.606650	+	0.197112i	0.0104457	+	0.999945i	$0.496675\pi$
$710$	−19.3054	+	27.6142i	−0.724518	+	1.03634i
$711$	7.63870	+	8.26008i	0.286474	+	0.309777i
$712$	0.515891	+	1.01249i	0.0193338	+	0.0379448i
$713$	−6.16161	−	12.0928i	−0.230754	−	0.452880i
$714$	−8.97742	+	5.26300i	−0.335971	+	0.196963i
$715$	0.358003	+	19.6806i	0.0133886	+	0.736012i
$716$	0.165923	+	0.0539115i	0.00620082	+	0.00201477i
$717$	−13.0931	−	33.4424i	−0.488970	−	1.24893i
$718$	7.52770	+	7.52770i	0.280931	+	0.280931i
$719$	−17.4118	−	12.6504i	−0.649349	−	0.471780i	0.213700	−	0.976899i	$-0.431448\pi$
$719$	−17.4118	−	12.6504i	−0.649349	−	0.471780i	−0.863049	+	0.505120i	$0.831448\pi$
$720$	3.82884	+	5.50817i	0.142693	+	0.205277i
$721$	9.03534	−	6.56456i	0.336493	−	0.244477i
$722$	15.3489	+	2.43102i	0.571226	+	0.0904734i
$723$	−2.72003	+	10.4281i	−0.101159	+	0.387825i
$724$		−	11.3773i		−	0.422835i
$725$	17.4573	+	22.2767i	0.648349	+	0.827338i
$726$	−5.13651	−	23.3994i	−0.190634	−	0.868432i
$727$	−30.4534	−	15.5168i	−1.12945	−	0.575485i	−0.213569	−	0.976928i	$-0.568509\pi$
$727$	−30.4534	−	15.5168i	−1.12945	−	0.575485i	−0.915884	+	0.401443i	$0.868509\pi$
$728$	1.16337	−	7.34523i	0.0431174	−	0.272233i
$729$	25.3254	−	9.36082i	0.937977	−	0.346697i
$730$	−20.4750	−	2.86222i	−0.757813	−	0.105935i
$731$	−7.43254	+	10.2300i	−0.274902	+	0.378371i
$732$	−9.06358	+	14.1619i	−0.335000	+	0.523440i
$733$	2.91730	+	18.4191i	0.107753	+	0.680326i	0.981140	+	0.193299i	$0.0619186\pi$
$733$	2.91730	+	18.4191i	0.107753	+	0.680326i	−0.873387	+	0.487027i	$0.838081\pi$
$734$	1.29725	−	3.99251i	0.0478822	−	0.147366i
$735$	−31.5416	−	27.0124i	−1.16343	−	0.996367i
$736$	0.647728	+	1.99350i	0.0238756	+	0.0734815i
$737$	28.7397	−	14.6436i	1.05864	−	0.539405i
$738$	7.00421	−	8.88856i	0.257828	−	0.327192i
$739$	−1.28835	+	0.418609i	−0.0473926	+	0.0153988i	−0.332617	−	0.943062i	$-0.607932\pi$
$739$	−1.28835	+	0.418609i	−0.0473926	+	0.0153988i	0.285225	+	0.958461i	$0.407932\pi$
$740$	−1.87854	−	5.44266i	−0.0690564	−	0.200076i
$741$	0.557260	−	5.66394i	0.0204715	−	0.208070i
$742$	−21.2924	+	3.37239i	−0.781669	+	0.123804i
$743$	−8.68111	+	8.68111i	−0.318479	+	0.318479i	−0.848183	−	0.529704i	$-0.822303\pi$
$743$	−8.68111	+	8.68111i	−0.318479	+	0.318479i	0.529704	+	0.848183i	$0.322303\pi$
$744$	10.2755	+	4.49332i	0.376717	+	0.164733i
$745$	7.96657	−	8.26177i	0.291872	−	0.302688i
$746$	2.67527	+	3.68219i	0.0979486	+	0.134815i
$747$	48.7137	−	13.7495i	1.78234	−	0.503069i
$748$	−3.22868	+	6.33665i	−0.118052	+	0.231691i
$749$	−49.7161			−1.81659
$750$	−17.6203	+	8.03275i	−0.643402	+	0.293314i
$751$	40.0140			1.46013			0.730066	−	0.683377i	$-0.239489\pi$
$751$	40.0140			1.46013			0.730066	+	0.683377i	$0.239489\pi$
$752$	2.12527	−	4.17108i	0.0775007	−	0.152104i
$753$	−0.384982	−	6.51667i	−0.0140295	−	0.237481i
$754$	5.87750	+	8.08969i	0.214046	+	0.294609i
$755$	31.2464	−	32.4042i	1.13717	−	1.17931i
$756$	21.8704	−	0.436243i	0.795418	−	0.0158660i
$757$	23.3400	−	23.3400i	0.848305	−	0.848305i	−0.141616	−	0.989922i	$-0.545230\pi$
$757$	23.3400	−	23.3400i	0.848305	−	0.848305i	0.989922	+	0.141616i	$0.0452299\pi$
$758$	32.5807	−	5.16027i	1.18338	−	0.187429i
$759$	−18.0044	−	1.77141i	−0.653519	−	0.0642980i
$760$	1.35699	+	3.93160i	0.0492234	+	0.142614i
$761$	6.88486	−	2.23703i	0.249576	−	0.0810921i	−0.181558	−	0.983380i	$-0.558114\pi$
$761$	6.88486	−	2.23703i	0.249576	−	0.0810921i	0.431133	+	0.902288i	$0.358114\pi$
$762$	2.07707	−	1.70496i	0.0752442	−	0.0617643i
$763$	49.9570	−	25.4544i	1.80856	−	0.921509i
$764$	−5.70322	−	17.5527i	−0.206335	−	0.635035i
$765$	8.43775	+	4.52353i	0.305068	+	0.163549i
$766$	5.28095	−	16.2531i	0.190808	−	0.587248i
$767$	−3.07662	−	19.4250i	−0.111090	−	0.701397i
$768$	−1.45886	−	0.933665i	−0.0526420	−	0.0336907i
$769$	−2.15066	+	2.96013i	−0.0775549	+	0.106745i	−0.846032	−	0.533132i	$-0.821015\pi$
$769$	−2.15066	+	2.96013i	−0.0775549	+	0.106745i	0.768477	+	0.639877i	$0.221015\pi$
$770$	−46.4561	−	6.49415i	−1.67416	−	0.234033i
$771$	39.8636	+	35.4163i	1.43565	+	1.27549i
$772$	−0.733534	+	4.63135i	−0.0264005	+	0.166686i
$773$	29.4947	+	15.0283i	1.06085	+	0.540531i	0.895205	−	0.445655i	$-0.147029\pi$
$773$	29.4947	+	15.0283i	1.06085	+	0.540531i	0.165646	+	0.986185i	$0.447029\pi$
$774$	24.1365	−	11.1331i	0.867568	−	0.400171i
$775$	−18.0643	+	26.8665i	−0.648887	+	0.965073i
$776$			3.51564i			0.126204i
$777$	−18.1675	−	4.73875i	−0.651756	−	0.170002i
$778$	−13.8752	−	2.19762i	−0.497450	−	0.0787884i
$779$	5.67645	−	4.12419i	0.203380	−	0.147764i
$780$	−6.32451	+	2.60975i	−0.226454	+	0.0934441i
$781$	60.7458	+	44.1344i	2.17366	+	1.57925i
$782$	2.11531	+	2.11531i	0.0756434	+	0.0756434i
$783$	−20.3788	+	21.2084i	−0.728280	+	0.757925i
$784$	10.1976	+	3.31339i	0.364199	+	0.118336i
$785$	0.410371	+	22.5594i	0.0146468	+	0.805181i
$786$	5.57747	+	9.51383i	0.198942	+	0.339347i
$787$	−7.51367	−	14.7464i	−0.267833	−	0.525653i	0.717444	−	0.696616i	$-0.245312\pi$
$787$	−7.51367	−	14.7464i	−0.267833	−	0.525653i	−0.985277	+	0.170964i	$0.945312\pi$
$788$	5.75693	+	11.2986i	0.205082	+	0.402496i
$789$	−4.85606	−	8.28327i	−0.172880	−	0.294892i
$790$	4.80484	−	6.87278i	0.170949	−	0.244522i
$791$	−5.99204	−	1.94693i	−0.213053	−	0.0692250i
$792$	12.4282	−	8.30795i	0.441616	−	0.295210i
$793$	−12.1260	−	12.1260i	−0.430608	−	0.430608i
$794$	2.98461	+	2.16845i	0.105920	+	0.0769552i
$795$	12.8603	+	15.0985i	0.456107	+	0.535487i
$796$	−1.31548	+	0.955752i	−0.0466260	+	0.0338757i
$797$	−39.6609	−	6.28166i	−1.40486	−	0.222508i	−0.592456	−	0.805603i	$-0.701842\pi$
$797$	−39.6609	−	6.28166i	−1.40486	−	0.222508i	−0.812404	+	0.583095i	$0.801842\pi$
$798$	13.1236	+	3.42312i	0.464571	+	0.121177i
$799$		−	6.68108i		−	0.236360i
$800$	3.40461	−	3.66178i	0.120371	−	0.129463i
$801$	−1.42787	−	3.09561i	−0.0504512	−	0.109378i
$802$	−26.1193	−	13.3084i	−0.922304	−	0.469937i
$803$	−7.20730	+	45.5051i	−0.254340	+	1.60584i
$804$	8.38144	+	7.44639i	0.295591	+	0.262614i
$805$	−8.63660	+	17.7408i	−0.304400	+	0.625279i
$806$	−6.72327	+	9.25378i	−0.236817	+	0.325951i
$807$	5.05249	+	3.23357i	0.177856	+	0.113827i
$808$	−2.60839	−	16.4687i	−0.0917627	−	0.579367i
$809$	5.01595	−	15.4375i	0.176351	−	0.542753i	−0.823341	−	0.567546i	$-0.807893\pi$
$809$	5.01595	−	15.4375i	0.176351	−	0.542753i	0.999693	+	0.0247932i	$0.00789272\pi$
$810$	−10.8324	−	16.9605i	−0.380612	−	0.595931i
$811$	−12.6792	−	39.0226i	−0.445227	−	1.37027i	−0.882234	−	0.470811i	$-0.843961\pi$
$811$	−12.6792	−	39.0226i	−0.445227	−	1.37027i	0.437007	−	0.899458i	$-0.356039\pi$
$812$	−21.2320	+	10.8183i	−0.745098	+	0.379646i
$813$	−6.30723	+	5.17730i	−0.221204	+	0.181576i
$814$	−12.2032	+	3.96505i	−0.427721	+	0.138975i
$815$	−3.66550	+	12.0209i	−0.128397	+	0.421074i
$816$	−2.46007	−	0.242040i	−0.0861197	−	0.00847309i
$817$	16.2774	−	2.57808i	0.569473	−	0.0901957i
$818$	5.40870	−	5.40870i	0.189111	−	0.189111i
$819$	−4.34803	+	21.8826i	−0.151932	+	0.764640i
$820$	−7.58395	−	3.69204i	−0.264843	−	0.128932i
$821$	8.20025	+	11.2867i	0.286191	+	0.393907i	0.927772	−	0.373147i	$-0.121721\pi$
$821$	8.20025	+	11.2867i	0.286191	+	0.393907i	−0.641582	+	0.767055i	$0.721721\pi$
$822$	−0.419726	−	7.10478i	−0.0146396	−	0.247808i
$823$	−7.77764	+	15.2645i	−0.271112	+	0.532086i	−0.985917	−	0.167237i	$-0.946515\pi$
$823$	−7.77764	+	15.2645i	−0.271112	+	0.532086i	0.714805	+	0.699324i	$0.246515\pi$
$824$	2.65293			0.0924192
$825$	17.1839	+	39.5861i	0.598267	+	1.37821i
$826$	46.8681			1.63075
$827$	−17.8399	+	35.0129i	−0.620356	+	1.21752i	0.340442	+	0.940266i	$0.389423\pi$
$827$	−17.8399	+	35.0129i	−0.620356	+	1.21752i	−0.960798	+	0.277251i	$0.910577\pi$
$828$	−1.70814	−	6.05183i	−0.0593620	−	0.210316i
$829$	−16.9229	−	23.2923i	−0.587756	−	0.808977i	0.406763	−	0.913534i	$-0.366657\pi$
$829$	−16.9229	−	23.2923i	−0.587756	−	0.808977i	−0.994519	+	0.104557i	$0.966657\pi$
$830$	−17.7365	−	33.2985i	−0.615644	−	1.15581i
$831$	−39.4929	−	17.2697i	−1.36999	−	0.599079i
$832$	1.24914	−	1.24914i	0.0433060	−	0.0433060i
$833$	15.1144	−	2.39388i	0.523681	−	0.0829430i
$834$	−1.81145	+	18.4114i	−0.0627252	+	0.637534i
$835$	30.7290	+	21.4830i	1.06342	+	0.743452i
$836$	8.81517	−	2.86422i	0.304879	−	0.0990613i
$837$	−30.2764	−	14.6736i	−1.04651	−	0.507193i
$838$	9.76323	−	4.97461i	0.337265	−	0.171845i
$839$	−10.2985	−	31.6954i	−0.355542	−	1.09425i	−0.955695	−	0.294360i	$-0.904893\pi$
$839$	−10.2985	−	31.6954i	−0.355542	−	1.09425i	0.600152	−	0.799886i	$-0.295107\pi$
$840$	−3.78490	−	15.8591i	−0.130592	−	0.547190i
$841$	0.939554	−	2.89165i	0.0323984	−	0.0997121i
$842$	2.19818	+	13.8788i	0.0757544	+	0.478294i
$843$	−9.02079	+	14.0951i	−0.310692	+	0.485460i
$844$	−7.09981	+	9.77205i	−0.244385	+	0.336368i
$845$	3.85203	+	21.7524i	0.132514	+	0.748305i
$846$	−6.85965	+	12.2547i	−0.235839	+	0.421325i
$847$	−9.10870	+	57.5100i	−0.312979	+	1.97607i
$848$	−4.56273	−	2.32483i	−0.156685	−	0.0798349i
$849$	−0.378911	−	1.72613i	−0.0130042	−	0.0592406i
$850$	1.95683	−	6.86236i	0.0671187	−	0.235377i
$851$			5.39730i			0.185017i
$852$	−6.58711	+	25.2538i	−0.225671	+	0.865181i
$853$	48.8210	+	7.73248i	1.67160	+	0.264755i	0.919153	−	0.393900i	$-0.128874\pi$
$853$	48.8210	+	7.73248i	1.67160	+	0.264755i	0.752445	+	0.658655i	$0.228874\pi$
$854$	33.0619	−	24.0209i	1.13135	−	0.821977i
$855$	−3.60725	−	11.9448i	−0.123365	−	0.408504i
$856$	−9.55419	−	6.94153i	−0.326556	−	0.237257i
$857$	−5.79343	−	5.79343i	−0.197900	−	0.197900i	0.601199	−	0.799099i	$-0.294690\pi$
$857$	−5.79343	−	5.79343i	−0.197900	−	0.197900i	−0.799099	+	0.601199i	$0.794690\pi$
$858$	5.55855	+	14.1977i	0.189766	+	0.484701i
$859$	3.26295	+	1.06020i	0.111330	+	0.0361734i	0.364152	−	0.931339i	$-0.381359\pi$
$859$	3.26295	+	1.06020i	0.111330	+	0.0361734i	−0.252822	+	0.967513i	$0.581359\pi$
$860$	−11.9347	−	15.8137i	−0.406970	−	0.539241i
$861$	−23.7283	+	13.9107i	−0.808659	+	0.474075i
$862$	1.97077	+	3.86786i	0.0671249	+	0.131740i
$863$	−11.6022	−	22.7707i	−0.394944	−	0.775122i	0.604830	−	0.796354i	$-0.293241\pi$
$863$	−11.6022	−	22.7707i	−0.394944	−	0.775122i	−0.999775	+	0.0212325i	$0.993241\pi$
$864$	4.26385	+	2.96978i	0.145059	+	0.101034i
$865$	−9.46131	+	3.26557i	−0.321694	+	0.111033i
$866$	7.46455	+	2.42538i	0.253656	+	0.0824177i
$867$	24.1333	−	9.44845i	0.819609	−	0.320886i
$868$	−19.2745	−	19.2745i	−0.654219	−	0.654219i
$869$	−15.1188	−	10.9844i	−0.512869	−	0.372621i
$870$	18.6768	+	11.4797i	0.633203	+	0.389198i
$871$	−9.25092	+	6.72119i	−0.313455	+	0.227739i
$872$	13.1545	+	2.08347i	0.445468	+	0.0705551i
$873$	0.411899	−	10.5389i	0.0139407	−	0.356687i
$874$		−	3.89884i		−	0.131880i
$875$	46.9969	−	2.56698i	1.58878	−	0.0867798i
$876$	−15.6416	+	3.43357i	−0.528482	+	0.116010i
$877$	26.8672	+	13.6895i	0.907241	+	0.462262i	0.844371	−	0.535759i	$-0.179975\pi$
$877$	26.8672	+	13.6895i	0.907241	+	0.462262i	0.0628704	+	0.998022i	$0.479975\pi$
$878$	−3.14649	+	19.8662i	−0.106189	+	0.670451i
$879$	2.36881	−	2.66627i	0.0798980	−	0.0899309i
$880$	−8.02097	−	7.73437i	−0.270387	−	0.260726i
$881$	29.7770	−	40.9845i	1.00321	−	1.38080i	0.0798773	−	0.996805i	$-0.474547\pi$
$881$	29.7770	−	40.9845i	1.00321	−	1.38080i	0.923334	−	0.383997i	$-0.125453\pi$
$882$	−30.1812	−	11.1274i	−1.01625	−	0.374678i
$883$	1.76422	+	11.1388i	0.0593707	+	0.374852i	0.999427	+	0.0338339i	$0.0107717\pi$
$883$	1.76422	+	11.1388i	0.0593707	+	0.374852i	−0.940057	+	0.341018i	$0.889228\pi$
$884$	0.779087	−	2.39778i	0.0262035	−	0.0806462i
$885$	−22.4799	−	36.7947i	−0.755653	−	1.23684i
$886$	−5.20028	−	16.0048i	−0.174707	−	0.537692i
$887$	16.7280	−	8.52333i	0.561671	−	0.286186i	−0.150015	−	0.988684i	$-0.547932\pi$
$887$	16.7280	−	8.52333i	0.561671	−	0.286186i	0.711686	+	0.702498i	$0.247932\pi$
$888$	−2.82970	−	3.44727i	−0.0949585	−	0.115683i
$889$	−6.21167	+	2.01830i	−0.208333	+	0.0676914i
$890$	−2.02817	+	1.53067i	−0.0679844	+	0.0513083i
$891$	−38.2295	+	23.4487i	−1.28074	+	0.785562i
$892$	−6.14829	+	0.973793i	−0.205860	+	0.0326050i
$893$	−6.15712	+	6.15712i	−0.206040	+	0.206040i
$894$	3.56186	−	8.14537i	0.119126	−	0.272422i
$895$	−0.0540083	+	0.386351i	−0.00180530	+	0.0129143i
$896$	2.47446	+	3.40580i	0.0826657	+	0.113780i
$897$	6.40235	−	0.378228i	0.213768	−	0.0126287i
$898$	−1.61517	+	3.16995i	−0.0538989	+	0.105783i
$899$	36.6510			1.22238
$900$	−10.6351	+	10.5781i	−0.354502	+	0.352602i
$901$	−7.30841			−0.243478
$902$	−8.53377	+	16.7485i	−0.284144	+	0.557663i
$903$	−64.4918	+	3.80995i	−2.14615	+	0.126787i
$904$	−0.879683	−	1.21078i	−0.0292578	−	0.0402699i
$905$	25.0507	−	4.43612i	0.832714	−	0.147461i
$906$	13.9703	−	31.9477i	0.464131	−	1.06139i
$907$	−29.1272	+	29.1272i	−0.967153	+	0.967153i	−0.999477	−	0.0323248i	$-0.989709\pi$
$907$	−29.1272	+	29.1272i	−0.967153	+	0.967153i	0.0323248	+	0.999477i	$0.489709\pi$
$908$	9.04270	−	1.43222i	0.300093	−	0.0475300i
$909$	5.88969	+	49.6740i	0.195349	+	1.64758i
$910$	16.6264	−	0.302446i	0.551161	−	0.0100260i
$911$	−1.21439	+	0.394580i	−0.0402346	+	0.0130730i	−0.329065	−	0.944307i	$-0.606734\pi$
$911$	−1.21439	+	0.394580i	−0.0402346	+	0.0130730i	0.288831	+	0.957380i	$0.406734\pi$
$912$	2.04408	+	2.49020i	0.0676864	+	0.0824587i
$913$	−74.9126	+	38.1699i	−2.47925	+	1.26324i
$914$	5.87403	+	18.0784i	0.194296	+	0.597980i
$915$	−34.7158	−	14.4344i	−1.14767	−	0.477188i
$916$	5.71542	−	17.5902i	0.188843	−	0.581198i
$917$	−4.19312	−	26.4743i	−0.138469	−	0.874259i
$918$	7.34623	+	1.01379i	0.242462	+	0.0334601i
$919$	14.7998	−	20.3701i	0.488199	−	0.671949i	−0.491855	−	0.870677i	$-0.663681\pi$
$919$	14.7998	−	20.3701i	0.488199	−	0.671949i	0.980055	+	0.198728i	$0.0636811\pi$
$920$	−4.13676	+	2.20346i	−0.136385	+	0.0726459i
$921$	−19.4911	+	21.9386i	−0.642252	+	0.722901i
$922$	5.01091	−	31.6376i	0.165026	−	1.04193i
$923$	−23.7173	−	12.0845i	−0.780663	−	0.397768i
$924$	−35.4897	+	7.79051i	−1.16752	+	0.256289i
$925$	11.2513	−	6.25833i	0.369939	−	0.205772i
$926$		−	3.10121i		−	0.101912i
$927$	−7.95272	−	0.310822i	−0.261202	−	0.0102087i
$928$	−5.59074	−	0.885486i	−0.183525	−	0.0290675i
$929$	−24.8975	+	18.0891i	−0.816859	+	0.593483i	−0.915811	−	0.401609i	$-0.868451\pi$
$929$	−24.8975	+	18.0891i	−0.816859	+	0.593483i	0.0989519	+	0.995092i	$0.468451\pi$
$930$	−5.88695	+	24.3766i	−0.193041	+	0.799341i
$931$	−16.1352	−	11.7229i	−0.528809	−	0.384202i
$932$	9.73992	+	9.73992i	0.319042	+	0.319042i
$933$	6.17960	−	2.41938i	0.202311	−	0.0792070i
$934$	−37.7054	−	12.2512i	−1.23376	−	0.400872i
$935$	−15.2110	−	4.63824i	−0.497453	−	0.151687i
$936$	−3.89090	+	3.59820i	−0.127178	+	0.117611i
$937$	0.618103	+	1.21310i	0.0201925	+	0.0396301i	0.900882	−	0.434063i	$-0.142921\pi$
$937$	0.618103	+	1.21310i	0.0201925	+	0.0396301i	−0.880690	+	0.473693i	$0.842921\pi$
$938$	−12.3711	−	24.2797i	−0.403932	−	0.792762i
$939$	34.1691	−	20.0316i	1.11507	−	0.653707i
$940$	10.0126	+	3.05311i	0.326575	+	0.0995814i
$941$	14.0374	+	4.56102i	0.457606	+	0.148685i	0.528744	−	0.848781i	$-0.322663\pi$
$941$	14.0374	+	4.56102i	0.457606	+	0.148685i	−0.0711384	+	0.997466i	$0.522663\pi$
$942$	6.37166	+	16.2745i	0.207600	+	0.530252i
$943$	5.59101	+	5.59101i	0.182068	+	0.182068i
$944$	9.00688	+	6.54388i	0.293149	+	0.212985i
$945$	9.48797	+	47.9844i	0.308644	+	1.56093i
$946$	−35.7188	+	25.9512i	−1.16132	+	0.843747i
$947$	6.67988	+	1.05799i	0.217067	+	0.0343800i	0.264021	−	0.964517i	$-0.414951\pi$
$947$	6.67988	+	1.05799i	0.217067	+	0.0343800i	−0.0469536	+	0.998897i	$0.514951\pi$
$948$	1.63944	−	6.28531i	0.0532465	−	0.204137i
$949$		−	16.3330i		−	0.530191i
$950$	−8.12755	+	4.52081i	−0.263692	+	0.146675i
$951$	3.25217	+	14.8152i	0.105459	+	0.480417i
$952$	5.35329	+	2.72764i	0.173501	+	0.0884032i
$953$	−2.66239	+	16.8097i	−0.0862434	+	0.544519i	0.906301	+	0.422633i	$0.138894\pi$
$953$	−2.66239	+	16.8097i	−0.0862434	+	0.544519i	−0.992544	+	0.121886i	$0.961106\pi$
$954$	13.4054	+	7.50374i	0.434015	+	0.242943i
$955$	36.4240	−	19.4014i	1.17865	−	0.627814i
$956$	−12.1877	+	16.7750i	−0.394180	+	0.542542i
$957$	26.3354	−	41.1493i	0.851303	−	1.33017i
$958$	2.10827	+	13.3111i	0.0681150	+	0.430061i
$959$	−5.34552	+	16.4518i	−0.172616	+	0.531257i
$960$	1.48693	−	3.57618i	0.0479905	−	0.115421i
$961$	3.37603	+	10.3904i	0.108904	+	0.335173i
$962$	4.05296	−	2.06509i	0.130673	−	0.0665811i
$963$	27.8274	+	21.9281i	0.896727	+	0.706623i
$964$	5.91757	−	1.92274i	0.190592	−	0.0619271i
$965$	−10.4834	+	0.190700i	−0.337472	+	0.00613884i
$966$	−1.49651	+	15.2104i	−0.0481494	+	0.489386i
$967$	38.7579	−	6.13865i	1.24637	−	0.197406i	0.501820	−	0.864972i	$-0.332664\pi$
$967$	38.7579	−	6.13865i	1.24637	−	0.197406i	0.744550	+	0.667566i	$0.232664\pi$
$968$	−9.78020	+	9.78020i	−0.314348	+	0.314348i
$969$	4.21278	+	1.84219i	0.135334	+	0.0591797i
$970$	−7.74079	+	1.37078i	−0.248542	+	0.0440131i
$971$	−17.7969	−	24.4953i	−0.571129	−	0.786091i	0.421559	−	0.906801i	$-0.361483\pi$
$971$	−17.7969	−	24.4953i	−0.571129	−	0.786091i	−0.992688	+	0.120710i	$0.961483\pi$
$972$	−12.4338	−	9.40210i	−0.398816	−	0.301573i
$973$	20.4139	−	40.0644i	0.654438	−	1.28441i
$974$	2.08662			0.0668596
$975$	−8.21216	−	12.9078i	−0.263000	−	0.413381i
$976$	9.70753			0.310731
$977$	−19.1478	+	37.5797i	−0.612593	+	1.20228i	0.351368	+	0.936238i	$0.385717\pi$
$977$	−19.1478	+	37.5797i	−0.612593	+	1.20228i	−0.963961	+	0.266044i	$0.914283\pi$
$978$	0.574087	+	9.71768i	0.0183573	+	0.310737i
$979$	3.32836	+	4.58109i	0.106375	+	0.146412i
$980$	−3.31935	+	23.7451i	−0.106033	+	0.758508i
$981$	−39.1893	−	7.78684i	−1.25122	−	0.248615i
$982$	−11.7522	+	11.7522i	−0.375029	+	0.375029i
$983$	14.2241	−	2.25288i	0.453679	−	0.0718557i	0.0745867	−	0.997215i	$-0.476236\pi$
$983$	14.2241	−	2.25288i	0.453679	−	0.0718557i	0.379092	+	0.925359i	$0.376236\pi$
$984$	−6.50225	−	0.639739i	−0.207284	−	0.0203941i
$985$	−22.6327	+	17.0811i	−0.721138	+	0.544248i
$986$	−7.68307	+	2.49638i	−0.244679	+	0.0795009i
$987$	26.3838	−	21.6572i	0.839807	−	0.689357i
$988$	−2.92773	+	1.49175i	−0.0931434	+	0.0474589i
$989$	5.73895	+	17.6627i	0.182488	+	0.561640i
$990$	23.1384	+	24.1252i	0.735386	+	0.766748i
$991$	0.477429	−	1.46938i	0.0151660	−	0.0466762i	−0.943187	−	0.332262i	$-0.892188\pi$
$991$	0.477429	−	1.46938i	0.0151660	−	0.0466762i	0.958353	+	0.285586i	$0.0921882\pi$
$992$	−1.01291	−	6.39524i	−0.0321598	−	0.203049i
$993$	8.75133	+	5.60082i	0.277715	+	0.177737i
$994$	37.2854	−	51.3189i	1.18262	−	1.62774i
$995$	−2.61730	−	2.52378i	−0.0829741	−	0.0800093i
$996$	−21.8470	−	19.4097i	−0.692247	−	0.615019i
$997$	−7.78106	+	49.1277i	−0.246429	+	1.55589i	0.485333	+	0.874329i	$0.338698\pi$
$997$	−7.78106	+	49.1277i	−0.246429	+	1.55589i	−0.731762	+	0.681560i	$0.761302\pi$
$998$	−32.1169	−	16.3644i	−1.01664	−	0.518006i
$999$	8.07873	+	10.6655i	0.255600	+	0.337440i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.l.a.83.10	yes	80
3.2	odd	2	inner	150.2.l.a.83.5	yes	80
5.2	odd	4		750.2.l.c.107.8		80
5.3	odd	4		750.2.l.a.107.3		80
5.4	even	2		750.2.l.b.143.1		80
15.2	even	4		750.2.l.c.107.3		80
15.8	even	4		750.2.l.a.107.8		80
15.14	odd	2		750.2.l.b.143.6		80
25.3	odd	20		750.2.l.b.257.6		80
25.4	even	10		750.2.l.a.743.8		80
25.21	even	5		750.2.l.c.743.3		80
25.22	odd	20	inner	150.2.l.a.47.5	✓	80
75.29	odd	10		750.2.l.a.743.3		80
75.47	even	20	inner	150.2.l.a.47.10	yes	80
75.53	even	20		750.2.l.b.257.1		80
75.71	odd	10		750.2.l.c.743.8		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.l.a.47.5	✓	80	25.22	odd	20	inner
150.2.l.a.47.10	yes	80	75.47	even	20	inner
150.2.l.a.83.5	yes	80	3.2	odd	2	inner
150.2.l.a.83.10	yes	80	1.1	even	1	trivial
750.2.l.a.107.3		80	5.3	odd	4
750.2.l.a.107.8		80	15.8	even	4
750.2.l.a.743.3		80	75.29	odd	10
750.2.l.a.743.8		80	25.4	even	10
750.2.l.b.143.1		80	5.4	even	2
750.2.l.b.143.6		80	15.14	odd	2
750.2.l.b.257.1		80	75.53	even	20
750.2.l.b.257.6		80	25.3	odd	20
750.2.l.c.107.3		80	15.2	even	4
750.2.l.c.107.8		80	5.2	odd	4
750.2.l.c.743.3		80	25.21	even	5
750.2.l.c.743.8		80	75.71	odd	10

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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.l (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.453990 - 0.891007i) q^{2} +(1.72904 - 0.102145i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(1.55212 - 1.60963i) q^{5} +(0.693954 - 1.58696i) q^{6} +(-2.97677 + 2.97677i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.97913 - 0.353226i) q^{9} +O(q^{10})\)	\(q+(0.453990 - 0.891007i) q^{2} +(1.72904 - 0.102145i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(1.55212 - 1.60963i) q^{5} +(0.693954 - 1.58696i) q^{6} +(-2.97677 + 2.97677i) q^{7} +(-0.987688 + 0.156434i) q^{8} +(2.97913 - 0.353226i) q^{9} +(-0.729547 - 2.11371i) q^{10} +(-4.73921 + 1.53986i) q^{11} +(-1.09894 - 1.33878i) q^{12} +(1.57400 - 0.801995i) q^{13} +(1.30090 + 4.00375i) q^{14} +(2.51926 - 2.94166i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(0.223260 + 1.40961i) q^{17} +(1.03777 - 2.81479i) q^{18} +(1.09331 - 1.50481i) q^{19} +(-2.21453 - 0.309572i) q^{20} +(-4.84289 + 5.45101i) q^{21} +(-0.779529 + 4.92175i) q^{22} +(1.86763 + 0.951606i) q^{23} +(-1.69177 + 0.371369i) q^{24} +(-0.181847 - 4.99669i) q^{25} -1.76655i q^{26} +(5.11495 - 0.915046i) q^{27} +(4.15797 + 0.658557i) q^{28} +(-4.57938 + 3.32712i) q^{29} +(-1.47732 - 3.58016i) q^{30} +(-5.23835 - 3.80588i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-8.03698 + 3.14657i) q^{33} +(1.35733 + 0.441023i) q^{34} +(0.171208 + 9.41183i) q^{35} +(-2.03686 - 2.20255i) q^{36} +(1.16900 + 2.29429i) q^{37} +(-0.844446 - 1.65732i) q^{38} +(2.63959 - 1.54746i) q^{39} +(-1.28121 + 1.83262i) q^{40} +(3.58757 + 1.16567i) q^{41} +(2.65826 + 6.78975i) q^{42} +(6.26505 + 6.26505i) q^{43} +(4.03141 + 2.92899i) q^{44} +(4.05541 - 5.34356i) q^{45} +(1.69577 - 1.23205i) q^{46} +(-4.62368 - 0.732319i) q^{47} +(-0.437156 + 1.67598i) q^{48} -10.7224i q^{49} +(-4.53464 - 2.10642i) q^{50} +(0.530010 + 2.41446i) q^{51} +(-1.57400 - 0.801995i) q^{52} +(-0.801081 + 5.05783i) q^{53} +(1.50683 - 4.97287i) q^{54} +(-4.87721 + 10.0184i) q^{55} +(2.47446 - 3.40580i) q^{56} +(1.73666 - 2.71355i) q^{57} +(0.885486 + 5.59074i) q^{58} +(3.44032 - 10.5882i) q^{59} +(-3.86063 - 0.309057i) q^{60} +(-2.99979 - 9.23241i) q^{61} +(-5.76923 + 2.93957i) q^{62} +(-7.81673 + 9.91968i) q^{63} +(0.951057 - 0.309017i) q^{64} +(1.15212 - 3.77836i) q^{65} +(-0.845099 + 8.58951i) q^{66} +(-6.39326 + 1.01259i) q^{67} +(1.00917 - 1.00917i) q^{68} +(3.32641 + 1.45459i) q^{69} +(8.46373 + 4.12033i) q^{70} +(-8.85681 - 12.1904i) q^{71} +(-2.88720 + 0.814916i) q^{72} +(4.19747 - 8.23800i) q^{73} +2.57494 q^{74} +(-0.824809 - 8.62089i) q^{75} -1.86005 q^{76} +(9.52374 - 18.6914i) q^{77} +(-0.180445 - 3.05442i) q^{78} +(2.20434 + 3.03401i) q^{79} +(1.05122 + 1.97356i) q^{80} +(8.75046 - 2.10462i) q^{81} +(2.66735 - 2.66735i) q^{82} +(16.6646 - 2.63941i) q^{83} +(7.25654 + 0.713952i) q^{84} +(2.61548 + 1.82852i) q^{85} +(8.42648 - 2.73793i) q^{86} +(-7.57807 + 6.22047i) q^{87} +(4.43998 - 2.26228i) q^{88} +(-0.351151 - 1.08073i) q^{89} +(-2.92003 - 6.03932i) q^{90} +(-2.29810 + 7.07281i) q^{91} +(-0.327901 - 2.07029i) q^{92} +(-9.44605 - 6.04544i) q^{93} +(-2.75161 + 3.78726i) q^{94} +(-0.725250 - 4.09548i) q^{95} +(1.29484 + 1.15039i) q^{96} +(0.549968 - 3.47236i) q^{97} +(-9.55370 - 4.86785i) q^{98} +(-13.5748 + 6.26147i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{3} + 4 q^{7}+O(q^{10}) \) 80 * q + 4 * q^3 + 4 * q^7	\( 80 q + 4 q^{3} + 4 q^{7} - 4 q^{10} - 4 q^{12} - 8 q^{15} + 20 q^{16} - 8 q^{18} - 40 q^{19} - 36 q^{22} - 104 q^{25} + 4 q^{27} - 16 q^{28} + 12 q^{30} + 4 q^{33} - 40 q^{34} - 24 q^{37} - 40 q^{39} - 8 q^{40} - 4 q^{42} - 24 q^{43} - 72 q^{45} - 4 q^{48} - 12 q^{55} - 64 q^{57} + 20 q^{58} + 24 q^{60} + 64 q^{63} + 96 q^{67} + 140 q^{69} + 76 q^{70} + 8 q^{72} + 100 q^{73} + 132 q^{75} + 100 q^{78} + 80 q^{79} - 40 q^{81} + 96 q^{82} + 60 q^{84} + 32 q^{85} + 80 q^{87} + 4 q^{88} + 52 q^{90} + 12 q^{93} - 32 q^{97}+O(q^{100}) \) 80 * q + 4 * q^3 + 4 * q^7 - 4 * q^10 - 4 * q^12 - 8 * q^15 + 20 * q^16 - 8 * q^18 - 40 * q^19 - 36 * q^22 - 104 * q^25 + 4 * q^27 - 16 * q^28 + 12 * q^30 + 4 * q^33 - 40 * q^34 - 24 * q^37 - 40 * q^39 - 8 * q^40 - 4 * q^42 - 24 * q^43 - 72 * q^45 - 4 * q^48 - 12 * q^55 - 64 * q^57 + 20 * q^58 + 24 * q^60 + 64 * q^63 + 96 * q^67 + 140 * q^69 + 76 * q^70 + 8 * q^72 + 100 * q^73 + 132 * q^75 + 100 * q^78 + 80 * q^79 - 40 * q^81 + 96 * q^82 + 60 * q^84 + 32 * q^85 + 80 * q^87 + 4 * q^88 + 52 * q^90 + 12 * q^93 - 32 * q^97

Introduction

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