LMFDB - Embedded newform 150.2.h.b.19.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(19,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 9]))

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

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

chi := DirichletCharacter("150.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.h (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} - 24 x^{14} + 94 x^{13} + 262 x^{12} - 936 x^{11} - 1584 x^{10} + 4642 x^{9} + \cdots + 11105 $ x^16 - 4x^15 - 24x^14 + 94x^13 + 262x^12 - 936x^11 - 1584x^10 + 4642x^9 + 6259x^8 - 11958x^7 - 15752x^6 + 14670x^5 + 18271x^4 - 10440x^3 + 1135x^2 + 21080*x + 11105
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			19.3
Root			$2.32349 + 0.309017i$ of defining polynomial
Character	$\chi$	$=$	150.19
Dual form			150.2.h.b.79.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.951057 - 0.309017i) q^{2} +(-0.587785 - 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.47959 - 1.67655i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.23143i q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.951057 - 0.309017i) q^{2} +(-0.587785 - 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.47959 - 1.67655i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.23143i q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-1.92526 - 1.13727i) q^{10} +(1.63788 + 5.04087i) q^{11} +(-0.951057 - 0.309017i) q^{12} +(5.61543 + 1.82456i) q^{13} +(-0.998566 - 3.07327i) q^{14} +(-0.486675 + 2.18246i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.602300 + 0.828995i) q^{17} +1.00000i q^{18} +(-3.64639 - 2.64926i) q^{19} +(-2.18246 - 0.486675i) q^{20} +(-2.61428 + 1.89939i) q^{21} +(3.11543 + 4.28802i) q^{22} +(-1.83390 + 0.595870i) q^{23} -1.00000 q^{24} +(-0.621629 + 4.96121i) q^{25} +5.90441 q^{26} +(0.951057 - 0.309017i) q^{27} +(-1.89939 - 2.61428i) q^{28} +(-0.210961 + 0.153272i) q^{29} +(0.211563 + 2.22604i) q^{30} +(1.81386 + 1.31784i) q^{31} -1.00000i q^{32} +(3.11543 - 4.28802i) q^{33} +(-0.316648 + 0.974542i) q^{34} +(-5.41765 + 4.78119i) q^{35} +(0.309017 + 0.951057i) q^{36} +(9.08596 + 2.95221i) q^{37} +(-4.28659 - 1.39280i) q^{38} +(-1.82456 - 5.61543i) q^{39} +(-2.22604 + 0.211563i) q^{40} +(-3.07816 + 9.47359i) q^{41} +(-1.89939 + 2.61428i) q^{42} -5.30164i q^{43} +(4.28802 + 3.11543i) q^{44} +(2.05171 - 0.889091i) q^{45} +(-1.56001 + 1.13341i) q^{46} +(-6.18830 - 8.51747i) q^{47} +(-0.951057 + 0.309017i) q^{48} -3.44213 q^{49} +(0.941893 + 4.91048i) q^{50} +1.02469 q^{51} +(5.61543 - 1.82456i) q^{52} +(1.35841 + 1.86970i) q^{53} +(0.809017 - 0.587785i) q^{54} +(6.02788 - 10.2044i) q^{55} +(-2.61428 - 1.89939i) q^{56} +4.50718i q^{57} +(-0.153272 + 0.210961i) q^{58} +(2.00615 - 6.17428i) q^{59} +(0.889091 + 2.05171i) q^{60} +(-1.21905 - 3.75186i) q^{61} +(2.13232 + 0.692831i) q^{62} +(3.07327 + 0.998566i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-5.24956 - 12.1141i) q^{65} +(1.63788 - 5.04087i) q^{66} +(-5.46176 + 7.51747i) q^{67} +1.02469i q^{68} +(1.56001 + 1.13341i) q^{69} +(-3.67502 + 6.22132i) q^{70} +(-6.90715 + 5.01834i) q^{71} +(0.587785 + 0.809017i) q^{72} +(-3.76068 + 1.22192i) q^{73} +9.55354 q^{74} +(4.37909 - 2.41322i) q^{75} -4.50718 q^{76} +(16.2892 - 5.29269i) q^{77} +(-3.47053 - 4.77677i) q^{78} +(-10.8177 + 7.85950i) q^{79} +(-2.05171 + 0.889091i) q^{80} +(-0.809017 - 0.587785i) q^{81} +9.96112i q^{82} +(4.40074 - 6.05709i) q^{83} +(-0.998566 + 3.07327i) q^{84} +(2.28101 - 0.216787i) q^{85} +(-1.63830 - 5.04216i) q^{86} +(0.247999 + 0.0805798i) q^{87} +(5.04087 + 1.63788i) q^{88} +(0.226687 + 0.697671i) q^{89} +(1.67655 - 1.47959i) q^{90} +(5.89595 - 18.1459i) q^{91} +(-1.13341 + 1.56001i) q^{92} -2.24205i q^{93} +(-8.51747 - 6.18830i) q^{94} +(0.953552 + 10.0332i) q^{95} +(-0.809017 + 0.587785i) q^{96} +(-10.1432 - 13.9610i) q^{97} +(-3.27366 + 1.06368i) q^{98} -5.30029 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9}+O(q^{10}) $ 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9	$ 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9} + 2 q^{10} + 2 q^{11} + 20 q^{13} + 2 q^{14} - 2 q^{15} - 4 q^{16} - 30 q^{17} - 4 q^{20} - 2 q^{21} - 20 q^{22} - 10 q^{23} - 16 q^{24} + 24 q^{25} + 4 q^{26} - 10 q^{29} - 6 q^{30} - 18 q^{31} - 20 q^{33} + 12 q^{34} - 34 q^{35} - 4 q^{36} + 20 q^{37} + 10 q^{38} - 4 q^{39} - 2 q^{40} + 22 q^{41} + 8 q^{44} - 4 q^{45} - 6 q^{46} - 50 q^{47} - 52 q^{49} + 12 q^{50} + 28 q^{51} + 20 q^{52} + 30 q^{53} + 4 q^{54} + 18 q^{55} - 2 q^{56} - 30 q^{58} + 20 q^{59} + 2 q^{60} + 12 q^{61} + 50 q^{62} + 10 q^{63} + 4 q^{64} - 8 q^{65} + 2 q^{66} - 50 q^{67} + 6 q^{69} - 12 q^{70} - 28 q^{71} + 20 q^{73} + 12 q^{74} + 28 q^{75} + 20 q^{76} + 100 q^{77} - 20 q^{79} + 4 q^{80} - 4 q^{81} - 30 q^{83} + 2 q^{84} - 4 q^{85} - 6 q^{86} + 10 q^{87} + 70 q^{89} + 8 q^{90} + 12 q^{91} - 30 q^{92} + 2 q^{94} - 30 q^{95} - 4 q^{96} - 10 q^{97} + 60 q^{98} - 12 q^{99}+O(q^{100}) $ 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9 + 2 * q^10 + 2 * q^11 + 20 * q^13 + 2 * q^14 - 2 * q^15 - 4 * q^16 - 30 * q^17 - 4 * q^20 - 2 * q^21 - 20 * q^22 - 10 * q^23 - 16 * q^24 + 24 * q^25 + 4 * q^26 - 10 * q^29 - 6 * q^30 - 18 * q^31 - 20 * q^33 + 12 * q^34 - 34 * q^35 - 4 * q^36 + 20 * q^37 + 10 * q^38 - 4 * q^39 - 2 * q^40 + 22 * q^41 + 8 * q^44 - 4 * q^45 - 6 * q^46 - 50 * q^47 - 52 * q^49 + 12 * q^50 + 28 * q^51 + 20 * q^52 + 30 * q^53 + 4 * q^54 + 18 * q^55 - 2 * q^56 - 30 * q^58 + 20 * q^59 + 2 * q^60 + 12 * q^61 + 50 * q^62 + 10 * q^63 + 4 * q^64 - 8 * q^65 + 2 * q^66 - 50 * q^67 + 6 * q^69 - 12 * q^70 - 28 * q^71 + 20 * q^73 + 12 * q^74 + 28 * q^75 + 20 * q^76 + 100 * q^77 - 20 * q^79 + 4 * q^80 - 4 * q^81 - 30 * q^83 + 2 * q^84 - 4 * q^85 - 6 * q^86 + 10 * q^87 + 70 * q^89 + 8 * q^90 + 12 * q^91 - 30 * q^92 + 2 * q^94 - 30 * q^95 - 4 * q^96 - 10 * q^97 + 60 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	0.951057	−	0.309017i	0.672499	−	0.218508i
$2$	0.951057	−	0.309017i	0.672499	−	0.218508i
$3$	−0.587785	−	0.809017i	−0.339358	−	0.467086i
$3$	−0.587785	−	0.809017i	−0.339358	−	0.467086i
$4$	0.809017	−	0.587785i	0.404508	−	0.293893i
$5$	−1.47959	−	1.67655i	−0.661693	−	0.749775i
$5$	−1.47959	−	1.67655i	−0.661693	−	0.749775i
$6$	−0.809017	−	0.587785i	−0.330280	−	0.239962i
$7$		−	3.23143i		−	1.22136i	−0.791876	−	0.610682i	$-0.790895\pi$
$7$		−	3.23143i		−	1.22136i	0.791876	−	0.610682i	$-0.209105\pi$
$8$	0.587785	−	0.809017i	0.207813	−	0.286031i
$9$	−0.309017	+	0.951057i	−0.103006	+	0.317019i
$10$	−1.92526	−	1.13727i	−0.608819	−	0.359638i
$11$	1.63788	+	5.04087i	0.493839	+	1.51988i	0.818758	+	0.574138i	$0.194663\pi$
$11$	1.63788	+	5.04087i	0.493839	+	1.51988i	−0.324920	+	0.945742i	$0.605337\pi$
$12$	−0.951057	−	0.309017i	−0.274546	−	0.0892055i
$13$	5.61543	+	1.82456i	1.55744	+	0.506043i	0.956122	−	0.292967i	$-0.0946427\pi$
$13$	5.61543	+	1.82456i	1.55744	+	0.506043i	0.601318	+	0.799010i	$0.294643\pi$
$14$	−0.998566	−	3.07327i	−0.266878	−	0.821366i
$15$	−0.486675	+	2.18246i	−0.125659	+	0.563510i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.602300	+	0.828995i	−0.146079	+	0.201061i	−0.875786	−	0.482699i	$-0.839656\pi$
$17$	−0.602300	+	0.828995i	−0.146079	+	0.201061i	0.729707	+	0.683760i	$0.239656\pi$
$18$			1.00000i			0.235702i
$19$	−3.64639	−	2.64926i	−0.836539	−	0.607781i	0.0848627	−	0.996393i	$-0.472955\pi$
$19$	−3.64639	−	2.64926i	−0.836539	−	0.607781i	−0.921402	+	0.388611i	$0.872955\pi$
$20$	−2.18246	−	0.486675i	−0.488014	−	0.108824i
$21$	−2.61428	+	1.89939i	−0.570483	+	0.414480i
$22$	3.11543	+	4.28802i	0.664212	+	0.914209i
$23$	−1.83390	+	0.595870i	−0.382394	+	0.124247i	−0.493905	−	0.869516i	$-0.664431\pi$
$23$	−1.83390	+	0.595870i	−0.382394	+	0.124247i	0.111511	+	0.993763i	$0.464431\pi$
$24$	−1.00000			−0.204124
$25$	−0.621629	+	4.96121i	−0.124326	+	0.992241i
$26$	5.90441			1.15795
$27$	0.951057	−	0.309017i	0.183031	−	0.0594703i
$28$	−1.89939	−	2.61428i	−0.358950	−	0.494053i
$29$	−0.210961	+	0.153272i	−0.0391744	+	0.0284619i	−0.607200	−	0.794549i	$-0.707707\pi$
$29$	−0.210961	+	0.153272i	−0.0391744	+	0.0284619i	0.568026	+	0.823011i	$0.307707\pi$
$30$	0.211563	+	2.22604i	0.0386259	+	0.406417i
$31$	1.81386	+	1.31784i	0.325778	+	0.236692i	0.738637	−	0.674103i	$-0.235470\pi$
$31$	1.81386	+	1.31784i	0.325778	+	0.236692i	−0.412859	+	0.910795i	$0.635470\pi$
$32$		−	1.00000i		−	0.176777i
$33$	3.11543	−	4.28802i	0.542327	−	0.746449i
$34$	−0.316648	+	0.974542i	−0.0543046	+	0.167133i
$35$	−5.41765	+	4.78119i	−0.915749	+	0.808168i
$36$	0.309017	+	0.951057i	0.0515028	+	0.158509i
$37$	9.08596	+	2.95221i	1.49372	+	0.485340i	0.938180	−	0.346149i	$-0.112511\pi$
$37$	9.08596	+	2.95221i	1.49372	+	0.485340i	0.555542	+	0.831488i	$0.312511\pi$
$38$	−4.28659	−	1.39280i	−0.695376	−	0.225941i
$39$	−1.82456	−	5.61543i	−0.292164	−	0.899188i
$40$	−2.22604	+	0.211563i	−0.351967	+	0.0334510i
$41$	−3.07816	+	9.47359i	−0.480727	+	1.47953i	0.357348	+	0.933971i	$0.383681\pi$
$41$	−3.07816	+	9.47359i	−0.480727	+	1.47953i	−0.838075	+	0.545555i	$0.816319\pi$
$42$	−1.89939	+	2.61428i	−0.293082	+	0.403392i
$43$		−	5.30164i		−	0.808492i	−0.914650	−	0.404246i	$-0.867534\pi$
$43$		−	5.30164i		−	0.808492i	0.914650	−	0.404246i	$-0.132466\pi$
$44$	4.28802	+	3.11543i	0.646444	+	0.469669i
$45$	2.05171	−	0.889091i	0.305851	−	0.132538i
$46$	−1.56001	+	1.13341i	−0.230010	+	0.167112i
$47$	−6.18830	−	8.51747i	−0.902657	−	1.24240i	−0.969613	−	0.244644i	$-0.921329\pi$
$47$	−6.18830	−	8.51747i	−0.902657	−	1.24240i	0.0669561	−	0.997756i	$-0.478671\pi$
$48$	−0.951057	+	0.309017i	−0.137273	+	0.0446028i
$49$	−3.44213			−0.491732
$50$	0.941893	+	4.91048i	0.133204	+	0.694447i
$51$	1.02469			0.143486
$52$	5.61543	−	1.82456i	0.778720	−	0.253021i
$53$	1.35841	+	1.86970i	0.186593	+	0.256823i	0.892057	−	0.451923i	$-0.149262\pi$
$53$	1.35841	+	1.86970i	0.186593	+	0.256823i	−0.705465	+	0.708745i	$0.749262\pi$
$54$	0.809017	−	0.587785i	0.110093	−	0.0799874i
$55$	6.02788	−	10.2044i	0.812799	−	1.37596i
$56$	−2.61428	−	1.89939i	−0.349348	−	0.253816i
$57$			4.50718i			0.596991i
$58$	−0.153272	+	0.210961i	−0.0201256	+	0.0277005i
$59$	2.00615	−	6.17428i	0.261178	−	0.803823i	−0.731371	−	0.681979i	$-0.761119\pi$
$59$	2.00615	−	6.17428i	0.261178	−	0.803823i	0.992549	−	0.121844i	$-0.0388807\pi$
$60$	0.889091	+	2.05171i	0.114781	+	0.264875i
$61$	−1.21905	−	3.75186i	−0.156084	−	0.480376i	0.842185	−	0.539188i	$-0.181269\pi$
$61$	−1.21905	−	3.75186i	−0.156084	−	0.480376i	−0.998269	+	0.0588118i	$0.981269\pi$
$62$	2.13232	+	0.692831i	0.270804	+	0.0879897i
$63$	3.07327	+	0.998566i	0.387196	+	0.125808i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	−5.24956	−	12.1141i	−0.651128	−	1.50257i
$66$	1.63788	−	5.04087i	0.201609	−	0.620488i
$67$	−5.46176	+	7.51747i	−0.667260	+	0.918405i	−0.999694	−	0.0247216i	$-0.992130\pi$
$67$	−5.46176	+	7.51747i	−0.667260	+	0.918405i	0.332434	+	0.943126i	$0.392130\pi$
$68$			1.02469i			0.124262i
$69$	1.56001	+	1.13341i	0.187803	+	0.136447i
$70$	−3.67502	+	6.22132i	−0.439249	+	0.743590i
$71$	−6.90715	+	5.01834i	−0.819728	+	0.595567i	−0.916635	−	0.399726i	$-0.869105\pi$
$71$	−6.90715	+	5.01834i	−0.819728	+	0.595567i	0.0969066	+	0.995293i	$0.469105\pi$
$72$	0.587785	+	0.809017i	0.0692712	+	0.0953436i
$73$	−3.76068	+	1.22192i	−0.440155	+	0.143015i	−0.520707	−	0.853735i	$-0.674332\pi$
$73$	−3.76068	+	1.22192i	−0.440155	+	0.143015i	0.0805522	+	0.996750i	$0.474332\pi$
$74$	9.55354			1.11058
$75$	4.37909	−	2.41322i	0.505653	−	0.278654i
$76$	−4.50718			−0.517010
$77$	16.2892	−	5.29269i	1.85633	−	0.603158i
$78$	−3.47053	−	4.77677i	−0.392960	−	0.540863i
$79$	−10.8177	+	7.85950i	−1.21708	+	0.884263i	−0.995855	−	0.0909589i	$-0.971007\pi$
$79$	−10.8177	+	7.85950i	−1.21708	+	0.884263i	−0.221229	+	0.975222i	$0.571007\pi$
$80$	−2.05171	+	0.889091i	−0.229388	+	0.0994034i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$			9.96112i			1.10002i
$83$	4.40074	−	6.05709i	0.483044	−	0.664852i	−0.496043	−	0.868298i	$-0.665214\pi$
$83$	4.40074	−	6.05709i	0.483044	−	0.664852i	0.979086	+	0.203446i	$0.0652141\pi$
$84$	−0.998566	+	3.07327i	−0.108952	+	0.335321i
$85$	2.28101	−	0.216787i	0.247410	−	0.0235139i
$86$	−1.63830	−	5.04216i	−0.176662	−	0.543710i
$87$	0.247999	+	0.0805798i	0.0265883	+	0.00863906i
$88$	5.04087	+	1.63788i	0.537359	+	0.174598i
$89$	0.226687	+	0.697671i	0.0240288	+	0.0739529i	0.962352	−	0.271807i	$-0.0876212\pi$
$89$	0.226687	+	0.697671i	0.0240288	+	0.0739529i	−0.938323	+	0.345760i	$0.887621\pi$
$90$	1.67655	−	1.47959i	0.176724	−	0.155962i
$91$	5.89595	−	18.1459i	0.618063	−	1.90220i
$92$	−1.13341	+	1.56001i	−0.118166	+	0.162642i
$93$		−	2.24205i		−	0.232490i
$94$	−8.51747	−	6.18830i	−0.878510	−	0.638275i
$95$	0.953552	+	10.0332i	0.0978324	+	1.02938i
$96$	−0.809017	+	0.587785i	−0.0825700	+	0.0599906i
$97$	−10.1432	−	13.9610i	−1.02989	−	1.41752i	−0.905031	−	0.425345i	$-0.860153\pi$
$97$	−10.1432	−	13.9610i	−1.02989	−	1.41752i	−0.124857	−	0.992175i	$-0.539847\pi$
$98$	−3.27366	+	1.06368i	−0.330689	+	0.107447i
$99$	−5.30029			−0.532699
$100$	2.41322	+	4.37909i	0.241322	+	0.437909i
$101$	11.8454			1.17866			0.589331	−	0.807892i	$-0.299391\pi$
$101$	11.8454			1.17866			0.589331	+	0.807892i	$0.299391\pi$
$102$	0.974542	−	0.316648i	0.0964940	−	0.0313528i
$103$	4.20316	+	5.78515i	0.414150	+	0.570028i	0.964224	−	0.265087i	$-0.0854008\pi$
$103$	4.20316	+	5.78515i	0.414150	+	0.570028i	−0.550075	+	0.835115i	$0.685401\pi$
$104$	4.77677	−	3.47053i	0.468401	−	0.340313i
$105$	7.05247	+	1.57266i	0.688251	+	0.153475i
$106$	1.86970	+	1.35841i	0.181601	+	0.131941i
$107$		−	3.20058i		−	0.309412i	−0.987961	−	0.154706i	$-0.950557\pi$
$107$		−	3.20058i		−	0.309412i	0.987961	−	0.154706i	$-0.0494430\pi$
$108$	0.587785	−	0.809017i	0.0565597	−	0.0778477i
$109$	−3.05789	+	9.41123i	−0.292893	+	0.901432i	0.691028	+	0.722828i	$0.257158\pi$
$109$	−3.05789	+	9.41123i	−0.292893	+	0.901432i	−0.983921	+	0.178604i	$0.942842\pi$
$110$	2.57952	−	11.5677i	0.245947	−	1.10294i
$111$	−2.95221	−	9.08596i	−0.280211	−	0.862401i
$112$	−3.07327	−	0.998566i	−0.290397	−	0.0943556i
$113$	−4.03794	−	1.31201i	−0.379858	−	0.123423i	0.112863	−	0.993611i	$-0.463998\pi$
$113$	−4.03794	−	1.31201i	−0.379858	−	0.123423i	−0.492721	+	0.870187i	$0.663998\pi$
$114$	1.39280	+	4.28659i	0.130447	+	0.401476i
$115$	3.71242	+	2.19298i	0.346185	+	0.204496i
$116$	−0.0805798	+	0.247999i	−0.00748165	+	0.0230261i
$117$	−3.47053	+	4.77677i	−0.320850	+	0.441613i
$118$		−	6.49202i		−	0.597639i
$119$	2.67884	+	1.94629i	0.245569	+	0.178416i
$120$	1.47959	+	1.67655i	0.135067	+	0.153047i
$121$	−13.8285	+	10.0470i	−1.25714	+	0.913366i
$122$	−2.31878	−	3.19152i	−0.209932	−	0.288947i
$123$	9.47359	−	3.07816i	0.854205	−	0.277548i
$124$	2.24205			0.201342
$125$	9.23746	−	6.29836i	0.826224	−	0.563342i
$126$	3.23143			0.287878
$127$	−8.79813	+	2.85868i	−0.780708	+	0.253667i	−0.672142	−	0.740422i	$-0.734626\pi$
$127$	−8.79813	+	2.85868i	−0.780708	+	0.253667i	−0.108565	+	0.994089i	$0.534626\pi$
$128$	−0.587785	−	0.809017i	−0.0519534	−	0.0715077i
$129$	−4.28912	+	3.11623i	−0.377636	+	0.274368i
$130$	−8.73611	−	9.89903i	−0.766207	−	0.868203i
$131$	3.93584	+	2.85956i	0.343876	+	0.249841i	0.746296	−	0.665615i	$-0.231831\pi$
$131$	3.93584	+	2.85956i	0.343876	+	0.249841i	−0.402419	+	0.915455i	$0.631831\pi$
$132$		−	5.30029i		−	0.461331i
$133$	−8.56088	+	11.7830i	−0.742323	+	1.02172i
$134$	−2.87142	+	8.83731i	−0.248053	+	0.763428i
$135$	−1.92526	−	1.13727i	−0.165700	−	0.0978810i
$136$	0.316648	+	0.974542i	0.0271523	+	0.0835663i
$137$	−5.72219	−	1.85925i	−0.488879	−	0.158847i	0.0541963	−	0.998530i	$-0.482740\pi$
$137$	−5.72219	−	1.85925i	−0.488879	−	0.158847i	−0.543076	+	0.839684i	$0.682740\pi$
$138$	1.83390	+	0.595870i	0.156112	+	0.0507238i
$139$	1.73890	+	5.35178i	0.147492	+	0.453932i	0.997323	−	0.0731222i	$-0.0232963\pi$
$139$	1.73890	+	5.35178i	0.147492	+	0.453932i	−0.849831	+	0.527055i	$0.823296\pi$
$140$	−1.57266	+	7.05247i	−0.132914	+	0.596043i
$141$	−3.25338	+	10.0129i	−0.273984	+	0.843237i
$142$	−5.01834	+	6.90715i	−0.421130	+	0.579635i
$143$			31.2951i			2.61703i
$144$	0.809017	+	0.587785i	0.0674181	+	0.0489821i
$145$	0.569103	+	0.126906i	0.0472614	+	0.0105390i
$146$	−3.19903	+	2.32423i	−0.264754	+	0.192355i
$147$	2.02323	+	2.78474i	0.166873	+	0.229681i
$148$	9.08596	−	2.95221i	0.746861	−	0.242670i
$149$	11.6556			0.954863			0.477432	−	0.878669i	$-0.341568\pi$
$149$	11.6556			0.954863			0.477432	+	0.878669i	$0.341568\pi$
$150$	3.41903	−	3.64832i	0.279163	−	0.297884i
$151$	5.52354			0.449499			0.224750	−	0.974417i	$-0.427844\pi$
$151$	5.52354			0.449499			0.224750	+	0.974417i	$0.427844\pi$
$152$	−4.28659	+	1.39280i	−0.347688	+	0.112971i
$153$	−0.602300	−	0.828995i	−0.0486931	−	0.0670202i
$154$	13.8564	−	10.0673i	1.11658	−	0.811245i
$155$	−0.474334	−	4.99089i	−0.0380994	−	0.400878i
$156$	−4.77677	−	3.47053i	−0.382448	−	0.277864i
$157$			6.84307i			0.546136i	0.961995	+	0.273068i	$0.0880384\pi$
$157$			6.84307i			0.546136i	−0.961995	+	0.273068i	$0.911962\pi$
$158$	−7.85950	+	10.8177i	−0.625268	+	0.860608i
$159$	0.714161	−	2.19796i	0.0566366	−	0.174310i
$160$	−1.67655	+	1.47959i	−0.132543	+	0.116972i
$161$	1.92551	+	5.92611i	0.151751	+	0.467043i
$162$	−0.951057	−	0.309017i	−0.0747221	−	0.0242787i
$163$	−8.92773	−	2.90080i	−0.699274	−	0.227208i	−0.0622597	−	0.998060i	$-0.519831\pi$
$163$	−8.92773	−	2.90080i	−0.699274	−	0.227208i	−0.637014	+	0.770852i	$0.719831\pi$
$164$	3.07816	+	9.47359i	0.240364	+	0.739763i
$165$	−11.7986	+	1.12134i	−0.918522	+	0.0872964i
$166$	2.31360	−	7.12054i	0.179570	−	0.552661i
$167$	−4.01388	+	5.52464i	−0.310604	+	0.427509i	−0.935569	−	0.353143i	$-0.885113\pi$
$167$	−4.01388	+	5.52464i	−0.310604	+	0.427509i	0.624966	+	0.780652i	$0.285113\pi$
$168$			3.23143i			0.249310i
$169$	17.6868	+	12.8502i	1.36052	+	0.988478i
$170$	2.10238	−	0.911046i	0.161245	−	0.0698741i
$171$	3.64639	−	2.64926i	0.278846	−	0.202594i
$172$	−3.11623	−	4.28912i	−0.237610	−	0.327042i
$173$	−17.9373	+	5.82820i	−1.36375	+	0.443110i	−0.897294	−	0.441434i	$-0.854470\pi$
$173$	−17.9373	+	5.82820i	−1.36375	+	0.443110i	−0.466457	+	0.884544i	$0.654470\pi$
$174$	0.260762			0.0197683
$175$	16.0318	+	2.00875i	1.21189	+	0.151847i
$176$	5.30029			0.399524
$177$	−6.17428	+	2.00615i	−0.464087	+	0.150791i
$178$	0.431184	+	0.593474i	0.0323186	+	0.0444828i
$179$	0.761557	−	0.553303i	0.0569214	−	0.0413558i	−0.558961	−	0.829194i	$-0.688800\pi$
$179$	0.761557	−	0.553303i	0.0569214	−	0.0413558i	0.615882	+	0.787838i	$0.288800\pi$
$180$	1.13727	−	1.92526i	0.0847674	−	0.143500i
$181$	−11.4118	−	8.29114i	−0.848231	−	0.616276i	0.0764270	−	0.997075i	$-0.475649\pi$
$181$	−11.4118	−	8.29114i	−0.848231	−	0.616276i	−0.924658	+	0.380800i	$0.875649\pi$
$182$		−	19.0797i		−	1.41428i
$183$	−2.31878	+	3.19152i	−0.171409	+	0.235924i
$184$	−0.595870	+	1.83390i	−0.0439281	+	0.135197i
$185$	−8.49397	−	19.6011i	−0.624489	−	1.44110i
$186$	−0.692831	−	2.13232i	−0.0508009	−	0.156349i
$187$	−5.16535	−	1.67832i	−0.377728	−	0.122731i
$188$	−10.0129	−	3.25338i	−0.730265	−	0.237277i
$189$	−0.998566	−	3.07327i	−0.0726350	−	0.223548i
$190$	4.00730	+	9.24744i	0.290720	+	0.670880i
$191$	7.87125	−	24.2252i	0.569544	−	1.75288i	−0.0845047	−	0.996423i	$-0.526931\pi$
$191$	7.87125	−	24.2252i	0.569544	−	1.75288i	0.654049	−	0.756453i	$-0.273069\pi$
$192$	−0.587785	+	0.809017i	−0.0424197	+	0.0583858i
$193$		−	6.63439i		−	0.477554i	−0.971074	−	0.238777i	$-0.923254\pi$
$193$		−	6.63439i		−	0.477554i	0.971074	−	0.238777i	$-0.0767465\pi$
$194$	−13.9610	−	10.1432i	−1.00234	−	0.728241i
$195$	−6.71493	+	11.3675i	−0.480866	+	0.814044i
$196$	−2.78474	+	2.02323i	−0.198910	+	0.144517i
$197$	−5.98232	−	8.23396i	−0.426223	−	0.586645i	0.540858	−	0.841114i	$-0.318100\pi$
$197$	−5.98232	−	8.23396i	−0.426223	−	0.586645i	−0.967081	+	0.254468i	$0.918100\pi$
$198$	−5.04087	+	1.63788i	−0.358239	+	0.116399i
$199$	2.52238			0.178807			0.0894035	−	0.995995i	$-0.471504\pi$
$199$	2.52238			0.178807			0.0894035	+	0.995995i	$0.471504\pi$
$200$	3.64832	+	3.41903i	0.257975	+	0.241762i
$201$	9.29210			0.655414
$202$	11.2656	−	3.66043i	0.792648	−	0.257547i
$203$	0.495287	+	0.681704i	0.0347623	+	0.0478463i
$204$	0.828995	−	0.602300i	0.0580412	−	0.0421694i
$205$	20.4373	−	8.85635i	1.42741	−	0.618554i
$206$	5.78515	+	4.20316i	0.403071	+	0.292848i
$207$		−	1.92827i		−	0.134024i
$208$	3.47053	−	4.77677i	0.240638	−	0.331209i
$209$	7.38222	−	22.7201i	0.510639	−	1.57158i
$210$	7.19328	−	0.683650i	0.496383	−	0.0471763i
$211$	4.87129	+	14.9923i	0.335353	+	1.03211i	0.966548	+	0.256487i	$0.0825650\pi$
$211$	4.87129	+	14.9923i	0.335353	+	1.03211i	−0.631194	+	0.775625i	$0.717435\pi$
$212$	2.19796	+	0.714161i	0.150957	+	0.0490487i
$213$	8.11984	+	2.63830i	0.556362	+	0.180773i
$214$	−0.989034	−	3.04393i	−0.0676090	−	0.208079i
$215$	−8.88846	+	7.84425i	−0.606188	+	0.534973i
$216$	0.309017	−	0.951057i	0.0210259	−	0.0647112i
$217$	4.25852	−	5.86135i	0.289087	−	0.397894i
$218$			9.89555i			0.670211i
$219$	3.19903	+	2.32423i	0.216170	+	0.157057i
$220$	−1.12134	−	11.7986i	−0.0756009	−	0.795464i
$221$	−4.89473	+	3.55623i	−0.329255	+	0.239218i
$222$	−5.61543	−	7.72898i	−0.376883	−	0.518735i
$223$	8.84040	−	2.87242i	0.591997	−	0.192351i	0.00232890	−	0.999997i	$-0.499259\pi$
$223$	8.84040	−	2.87242i	0.591997	−	0.192351i	0.589668	+	0.807646i	$0.299259\pi$
$224$	−3.23143			−0.215909
$225$	−4.52629	−	2.12430i	−0.301753	−	0.141620i
$226$	−4.24575			−0.282423
$227$	−3.46003	+	1.12423i	−0.229650	+	0.0746178i	−0.421582	−	0.906791i	$-0.638525\pi$
$227$	−3.46003	+	1.12423i	−0.229650	+	0.0746178i	0.191931	+	0.981408i	$0.438525\pi$
$228$	2.64926	+	3.64639i	0.175451	+	0.241488i
$229$	8.03500	−	5.83777i	0.530968	−	0.385771i	−0.289752	−	0.957102i	$-0.593573\pi$
$229$	8.03500	−	5.83777i	0.530968	−	0.385771i	0.820720	+	0.571331i	$0.193573\pi$
$230$	4.20839	+	0.938443i	0.277493	+	0.0618791i
$231$	−13.8564	−	10.0673i	−0.911686	−	0.662379i
$232$			0.260762i			0.0171198i
$233$	11.0441	−	15.2009i	0.723523	−	0.995844i	−0.275877	−	0.961193i	$-0.588968\pi$
$233$	11.0441	−	15.2009i	0.723523	−	0.995844i	0.999399	−	0.0346507i	$-0.0110319\pi$
$234$	−1.82456	+	5.61543i	−0.119275	+	0.367092i
$235$	−5.12380	+	22.9773i	−0.334240	+	1.49888i
$236$	−2.00615	−	6.17428i	−0.130589	−	0.401912i
$237$	12.7169	+	4.13198i	0.826054	+	0.268401i
$238$	3.14916	+	1.02322i	0.204130	+	0.0663258i
$239$	3.01349	+	9.27457i	0.194926	+	0.599922i	0.999977	+	0.00671626i	$0.00213787\pi$
$239$	3.01349	+	9.27457i	0.194926	+	0.599922i	−0.805051	+	0.593206i	$0.797862\pi$
$240$	1.92526	+	1.13727i	0.124275	+	0.0734107i
$241$	5.84694	−	17.9950i	0.376634	−	1.15916i	−0.565735	−	0.824587i	$-0.691408\pi$
$241$	5.84694	−	17.9950i	0.376634	−	1.15916i	0.942369	−	0.334574i	$-0.108592\pi$
$242$	−10.0470	+	13.8285i	−0.645848	+	0.888933i
$243$			1.00000i			0.0641500i
$244$	−3.19152	−	2.31878i	−0.204316	−	0.148444i
$245$	5.09293	+	5.77089i	0.325376	+	0.368689i
$246$	8.05872	−	5.85500i	0.513805	−	0.373301i
$247$	−15.6423	−	21.5298i	−0.995296	−	1.36991i
$248$	2.13232	−	0.692831i	0.135402	−	0.0439948i
$249$	−7.48698			−0.474468
$250$	6.83905	−	8.84463i	0.432539	−	0.559383i
$251$	−1.98608			−0.125360			−0.0626801	−	0.998034i	$-0.519965\pi$
$251$	−1.98608			−0.125360			−0.0626801	+	0.998034i	$0.519965\pi$
$252$	3.07327	−	0.998566i	0.193598	−	0.0629038i
$253$	−6.00740	−	8.26848i	−0.377682	−	0.519835i
$254$	−7.48413	+	5.43754i	−0.469596	+	0.341182i
$255$	−1.51613	−	1.71795i	−0.0949435	−	0.107582i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$			19.2797i			1.20263i	0.799010	+	0.601317i	$0.205357\pi$
$257$			19.2797i			1.20263i	−0.799010	+	0.601317i	$0.794643\pi$
$258$	−3.11623	+	4.28912i	−0.194008	+	0.267029i
$259$	9.53984	−	29.3606i	0.592777	−	1.82438i
$260$	−11.3675	−	6.71493i	−0.704982	−	0.416443i
$261$	−0.0805798	−	0.247999i	−0.00498777	−	0.0153508i
$262$	4.62686	+	1.50336i	0.285848	+	0.0928778i
$263$	11.9164	+	3.87188i	0.734799	+	0.238751i	0.652428	−	0.757851i	$-0.273751\pi$
$263$	11.9164	+	3.87188i	0.734799	+	0.238751i	0.0823713	+	0.996602i	$0.473751\pi$
$264$	−1.63788	−	5.04087i	−0.100804	−	0.310244i
$265$	1.12474	−	5.04383i	0.0690923	−	0.309840i
$266$	−4.50072	+	13.8518i	−0.275957	+	0.849308i
$267$	0.431184	−	0.593474i	0.0263880	−	0.0363200i
$268$			9.29210i			0.567605i
$269$	10.9160	+	7.93096i	0.665562	+	0.483559i	0.868537	−	0.495625i	$-0.165061\pi$
$269$	10.9160	+	7.93096i	0.665562	+	0.483559i	−0.202975	+	0.979184i	$0.565061\pi$
$270$	−2.18246	−	0.486675i	−0.132821	−	0.0296181i
$271$	21.6926	−	15.7606i	1.31773	−	0.957387i	0.317773	−	0.948167i	$-0.397065\pi$
$271$	21.6926	−	15.7606i	1.31773	−	0.957387i	0.999957	−	0.00922023i	$-0.00293493\pi$
$272$	0.602300	+	0.828995i	0.0365198	+	0.0502652i
$273$	−18.1459	+	5.89595i	−1.09824	+	0.356839i
$274$	−6.01666			−0.363480
$275$	−26.0270	+	4.99230i	−1.56948	+	0.301047i
$276$	1.92827			0.116068
$277$	7.76751	−	2.52382i	0.466704	−	0.151641i	−0.0662188	−	0.997805i	$-0.521094\pi$
$277$	7.76751	−	2.52382i	0.466704	−	0.151641i	0.532923	+	0.846164i	$0.321094\pi$
$278$	3.30758	+	4.55250i	0.198376	+	0.273041i
$279$	−1.81386	+	1.31784i	−0.108593	+	0.0788972i
$280$	0.683650	+	7.19328i	0.0408559	+	0.429881i
$281$	−25.3561	−	18.4223i	−1.51262	−	1.09898i	−0.965000	−	0.262249i	$-0.915536\pi$
$281$	−25.3561	−	18.4223i	−1.51262	−	1.09898i	−0.547615	−	0.836730i	$-0.684464\pi$
$282$			10.5282i			0.626943i
$283$	−9.61049	+	13.2277i	−0.571284	+	0.786306i	−0.992706	−	0.120559i	$-0.961531\pi$
$283$	−9.61049	+	13.2277i	−0.571284	+	0.786306i	0.421422	+	0.906865i	$0.361531\pi$
$284$	−2.63830	+	8.11984i	−0.156554	+	0.481824i
$285$	7.55651	−	6.66878i	0.447609	−	0.395025i
$286$	9.67071	+	29.7634i	0.571841	+	1.75995i
$287$	30.6132	+	9.94684i	1.80704	+	0.587143i
$288$	0.951057	+	0.309017i	0.0560415	+	0.0182090i
$289$	4.92882	+	15.1694i	0.289931	+	0.892315i
$290$	0.580465	−	0.0551675i	0.0340861	−	0.00323955i
$291$	−5.33261	+	16.4121i	−0.312603	+	0.962093i
$292$	−2.32423	+	3.19903i	−0.136015	+	0.187209i
$293$		−	28.1867i		−	1.64669i	−0.567545	−	0.823343i	$-0.692107\pi$
$293$		−	28.1867i		−	1.64669i	0.567545	−	0.823343i	$-0.307893\pi$
$294$	2.78474	+	2.02323i	0.162409	+	0.117997i
$295$	−13.3198	+	5.77200i	−0.775506	+	0.336059i
$296$	7.72898	−	5.61543i	0.449238	−	0.326390i
$297$	3.11543	+	4.28802i	0.180776	+	0.248816i
$298$	11.0851	−	3.60178i	0.642144	−	0.208645i
$299$	−11.3853			−0.658431
$300$	2.12430	−	4.52629i	0.122647	−	0.261326i
$301$	−17.1319			−0.987464
$302$	5.25320	−	1.70687i	0.302288	−	0.0982192i
$303$	−6.96255	−	9.58313i	−0.399988	−	0.550537i
$304$	−3.64639	+	2.64926i	−0.209135	+	0.151945i
$305$	−4.48648	+	7.59501i	−0.256895	+	0.434889i
$306$	−0.828995	−	0.602300i	−0.0473905	−	0.0344312i
$307$			14.5372i			0.829680i	0.909894	+	0.414840i	$0.136163\pi$
$307$			14.5372i			0.829680i	−0.909894	+	0.414840i	$0.863837\pi$
$308$	10.0673	−	13.8564i	0.573637	−	0.789543i
$309$	2.20973	−	6.80085i	0.125707	−	0.386887i
$310$	−1.99339	−	4.60004i	−0.113217	−	0.261265i
$311$	4.47841	+	13.7831i	0.253947	+	0.781570i	0.994035	+	0.109060i	$0.0347839\pi$
$311$	4.47841	+	13.7831i	0.253947	+	0.781570i	−0.740088	+	0.672510i	$0.765216\pi$
$312$	−5.61543	−	1.82456i	−0.317911	−	0.103296i
$313$	−29.9857	−	9.74294i	−1.69489	−	0.550703i	−0.707185	−	0.707029i	$-0.750035\pi$
$313$	−29.9857	−	9.74294i	−1.69489	−	0.550703i	−0.987706	+	0.156325i	$0.950035\pi$
$314$	2.11462	+	6.50814i	0.119335	+	0.367276i
$315$	−2.87303	−	6.62996i	−0.161877	−	0.373556i
$316$	−4.13198	+	12.7169i	−0.232442	+	0.715384i
$317$	8.80564	−	12.1199i	0.494574	−	0.680722i	−0.486650	−	0.873597i	$-0.661781\pi$
$317$	8.80564	−	12.1199i	0.494574	−	0.680722i	0.981223	+	0.192875i	$0.0617811\pi$
$318$		−	2.31107i		−	0.129598i
$319$	−1.11815	−	0.812385i	−0.0626045	−	0.0454848i
$320$	−1.13727	+	1.92526i	−0.0635755	+	0.107625i
$321$	−2.58932	+	1.88125i	−0.144522	+	0.105001i
$322$	3.66254	+	5.04105i	0.204105	+	0.280927i
$323$	4.39244	−	1.42719i	0.244402	−	0.0794110i
$324$	−1.00000			−0.0555556
$325$	−12.5428	+	26.7251i	−0.695747	+	1.48244i
$326$	−9.38717			−0.519907
$327$	9.41123	−	3.05789i	0.520442	−	0.169102i
$328$	5.85500	+	8.05872i	0.323288	+	0.444968i
$329$	−27.5236	+	19.9971i	−1.51742	+	1.10247i
$330$	−10.8747	+	4.71244i	−0.598630	+	0.259411i
$331$	17.4888	+	12.7064i	0.961273	+	0.698406i	0.953446	−	0.301563i	$-0.0975085\pi$
$331$	17.4888	+	12.7064i	0.961273	+	0.698406i	0.00782724	+	0.999969i	$0.497508\pi$
$332$		−	7.48698i		−	0.410901i
$333$	−5.61543	+	7.72898i	−0.307724	+	0.423545i
$334$	−2.11022	+	6.49460i	−0.115466	+	0.355369i
$335$	20.6846	−	1.96586i	1.13012	−	0.107407i
$336$	0.998566	+	3.07327i	0.0544762	+	0.167661i
$337$	7.22323	+	2.34697i	0.393474	+	0.127848i	0.499070	−	0.866562i	$-0.333675\pi$
$337$	7.22323	+	2.34697i	0.393474	+	0.127848i	−0.105596	+	0.994409i	$0.533675\pi$
$338$	20.7921	+	6.75576i	1.13094	+	0.367465i
$339$	1.31201	+	4.03794i	0.0712585	+	0.219311i
$340$	1.71795	−	1.51613i	0.0931689	−	0.0822235i
$341$	−3.67220	+	11.3019i	−0.198861	+	0.612031i
$342$	2.64926	−	3.64639i	0.143255	−	0.197174i
$343$		−	11.4970i		−	0.620780i
$344$	−4.28912	−	3.11623i	−0.231254	−	0.168016i
$345$	−0.407951	−	4.29241i	−0.0219633	−	0.231096i
$346$	−15.2584	+	11.0859i	−0.820298	+	0.595981i
$347$	−4.42781	−	6.09436i	−0.237697	−	0.327162i	0.673458	−	0.739226i	$-0.264808\pi$
$347$	−4.42781	−	6.09436i	−0.237697	−	0.327162i	−0.911155	+	0.412063i	$0.864808\pi$
$348$	0.247999	−	0.0805798i	0.0132942	−	0.00431953i
$349$	−18.7527			−1.00381			−0.501904	−	0.864923i	$-0.667367\pi$
$349$	−18.7527			−1.00381			−0.501904	+	0.864923i	$0.667367\pi$
$350$	15.8679	−	3.04366i	0.848173	−	0.162690i
$351$	5.90441			0.315154
$352$	5.04087	−	1.63788i	0.268679	−	0.0872992i
$353$	−2.56631	−	3.53223i	−0.136591	−	0.188001i	0.735242	−	0.677805i	$-0.237069\pi$
$353$	−2.56631	−	3.53223i	−0.136591	−	0.188001i	−0.871833	+	0.489803i	$0.837069\pi$
$354$	−5.25216	+	3.81592i	−0.279149	+	0.202814i
$355$	18.6332	+	4.15509i	0.988950	+	0.220529i
$356$	0.593474	+	0.431184i	0.0314541	+	0.0228527i
$357$		−	3.31122i		−	0.175249i
$358$	0.553303	−	0.761557i	0.0292430	−	0.0402495i
$359$	−0.227811	+	0.701130i	−0.0120234	+	0.0370042i	−0.956888	−	0.290456i	$-0.906193\pi$
$359$	−0.227811	+	0.701130i	−0.0120234	+	0.0370042i	0.944865	+	0.327461i	$0.106193\pi$
$360$	0.486675	−	2.18246i	0.0256500	−	0.115026i
$361$	0.406269	+	1.25037i	0.0213826	+	0.0658088i
$362$	−13.4153	−	4.35891i	−0.705095	−	0.229099i
$363$	16.2564	+	5.28204i	0.853242	+	0.277235i
$364$	−5.89595	−	18.1459i	−0.309032	−	0.951101i
$365$	7.61288	+	4.49703i	0.398476	+	0.235385i
$366$	−1.21905	+	3.75186i	−0.0637209	+	0.196113i
$367$	−11.0856	+	15.2581i	−0.578666	+	0.796466i	−0.993548	−	0.113410i	$-0.963823\pi$
$367$	−11.0856	+	15.2581i	−0.578666	+	0.796466i	0.414882	+	0.909875i	$0.363823\pi$
$368$			1.92827i			0.100518i
$369$	−8.05872	−	5.85500i	−0.419520	−	0.304799i
$370$	−14.1353	−	16.0170i	−0.734860	−	0.832683i
$371$	6.04179	−	4.38962i	0.313674	−	0.227898i
$372$	−1.31784	−	1.81386i	−0.0683270	−	0.0940441i
$373$	28.3763	−	9.22003i	1.46927	−	0.477395i	0.538383	−	0.842700i	$-0.319035\pi$
$373$	28.3763	−	9.22003i	1.46927	−	0.477395i	0.930888	+	0.365305i	$0.119035\pi$
$374$	−5.43117			−0.280839
$375$	−10.5251	−	3.77118i	−0.543515	−	0.194743i
$376$	−10.5282			−0.542949
$377$	−1.46429	+	0.475776i	−0.0754147	+	0.0245037i
$378$	−1.89939	−	2.61428i	−0.0976939	−	0.134464i
$379$	20.6159	−	14.9783i	1.05897	−	0.769384i	0.0850692	−	0.996375i	$-0.472889\pi$
$379$	20.6159	−	14.9783i	1.05897	−	0.769384i	0.973897	+	0.226991i	$0.0728889\pi$
$380$	6.66878	+	7.55651i	0.342101	+	0.387641i
$381$	7.48413	+	5.43754i	0.383424	+	0.278574i
$382$		−	25.4719i		−	1.30326i
$383$	18.5995	−	25.6000i	0.950389	−	1.30810i	−0.000965638	−	1.00000i	$-0.500307\pi$
$383$	18.5995	−	25.6000i	0.950389	−	1.30810i	0.951354	−	0.308098i	$-0.0996926\pi$
$384$	−0.309017	+	0.951057i	−0.0157695	+	0.0485334i
$385$	−32.9748	−	19.4786i	−1.68055	−	0.992724i
$386$	−2.05014	−	6.30968i	−0.104349	−	0.321154i
$387$	5.04216	+	1.63830i	0.256307	+	0.0832793i
$388$	−16.4121	−	5.33261i	−0.833197	−	0.270722i
$389$	−3.72304	−	11.4583i	−0.188766	−	0.580961i	0.811227	−	0.584731i	$-0.198800\pi$
$389$	−3.72304	−	11.4583i	−0.188766	−	0.580961i	−0.999993	+	0.00377022i	$0.998800\pi$
$390$	−2.87353	+	12.8862i	−0.145507	+	0.652516i
$391$	0.610584	−	1.87918i	0.0308786	−	0.0950344i
$392$	−2.02323	+	2.78474i	−0.102189	+	0.140651i
$393$		−	4.86497i		−	0.245405i
$394$	−8.23396	−	5.98232i	−0.414821	−	0.301385i
$395$	29.1826	+	6.50752i	1.46833	+	0.327429i
$396$	−4.28802	+	3.11543i	−0.215481	+	0.156556i
$397$	15.1393	+	20.8374i	0.759819	+	1.04580i	0.997229	+	0.0743920i	$0.0237016\pi$
$397$	15.1393	+	20.8374i	0.759819	+	1.04580i	−0.237410	+	0.971410i	$0.576298\pi$
$398$	2.39893	−	0.779460i	0.120247	−	0.0390708i
$399$	14.5646			0.729144
$400$	4.52629	+	2.12430i	0.226315	+	0.106215i
$401$	26.3196			1.31434			0.657169	−	0.753743i	$-0.271754\pi$
$401$	26.3196			1.31434			0.657169	+	0.753743i	$0.271754\pi$
$402$	8.83731	−	2.87142i	0.440765	−	0.143213i
$403$	7.78109	+	10.7098i	0.387604	+	0.533491i
$404$	9.58313	−	6.96255i	0.476779	−	0.346400i
$405$	0.211563	+	2.22604i	0.0105126	+	0.110613i
$406$	0.681704	+	0.495287i	0.0338324	+	0.0245807i
$407$			50.6365i			2.50996i
$408$	0.602300	−	0.828995i	0.0298183	−	0.0410414i
$409$	−11.3630	+	34.9716i	−0.561863	+	1.72924i	0.115230	+	0.993339i	$0.463239\pi$
$409$	−11.3630	+	34.9716i	−0.561863	+	1.72924i	−0.677093	+	0.735897i	$0.736761\pi$
$410$	16.7003	−	14.7384i	0.824769	−	0.727876i
$411$	1.85925	+	5.72219i	0.0917101	+	0.282255i
$412$	6.80085	+	2.20973i	0.335054	+	0.108866i
$413$	−19.9517	−	6.48272i	−0.981761	−	0.318994i
$414$	−0.595870	−	1.83390i	−0.0292854	−	0.0901312i
$415$	−16.6663	+	1.58397i	−0.818116	+	0.0777538i
$416$	1.82456	−	5.61543i	0.0894566	−	0.275319i
$417$	3.30758	−	4.55250i	0.161973	−	0.222937i
$418$		−	23.8894i		−	1.16847i
$419$	−25.6657	−	18.6472i	−1.25385	−	0.910975i	−0.255411	−	0.966833i	$-0.582211\pi$
$419$	−25.6657	−	18.6472i	−1.25385	−	0.910975i	−0.998439	+	0.0558572i	$0.982211\pi$
$420$	6.62996	−	2.87303i	0.323509	−	0.140190i
$421$	−7.13332	+	5.18266i	−0.347657	+	0.252587i	−0.747885	−	0.663828i	$-0.768931\pi$
$421$	−7.13332	+	5.18266i	−0.347657	+	0.252587i	0.400229	+	0.916415i	$0.368931\pi$
$422$	9.26574	+	12.7532i	0.451049	+	0.620816i
$423$	10.0129	−	3.25338i	0.486843	−	0.158185i
$424$	2.31107			0.112236
$425$	−3.73841	−	3.50346i	−0.181339	−	0.169943i
$426$	8.53771			0.413653
$427$	−12.1239	+	3.93928i	−0.586715	+	0.190635i
$428$	−1.88125	−	2.58932i	−0.0909339	−	0.125160i
$429$	25.3182	−	18.3948i	1.22238	−	0.888108i
$430$	−6.02942	+	10.2070i	−0.290764	+	0.492226i
$431$	−19.0172	−	13.8168i	−0.916026	−	0.665532i	0.0265058	−	0.999649i	$-0.491562\pi$
$431$	−19.0172	−	13.8168i	−0.916026	−	0.665532i	−0.942532	+	0.334117i	$0.891562\pi$
$432$		−	1.00000i		−	0.0481125i
$433$	−4.93923	+	6.79827i	−0.237364	+	0.326704i	−0.911036	−	0.412327i	$-0.864716\pi$
$433$	−4.93923	+	6.79827i	−0.237364	+	0.326704i	0.673672	+	0.739031i	$0.264716\pi$
$434$	2.23883	−	6.89042i	0.107468	−	0.330751i
$435$	−0.231841	−	0.535008i	−0.0111159	−	0.0256517i
$436$	3.05789	+	9.41123i	0.146447	+	0.450716i
$437$	8.26572	+	2.68569i	0.395403	+	0.128474i
$438$	3.76068	+	1.22192i	0.179692	+	0.0583856i
$439$	−11.0111	−	33.8885i	−0.525529	−	1.61741i	−0.763268	−	0.646083i	$-0.776406\pi$
$439$	−11.0111	−	33.8885i	−0.525529	−	1.61741i	0.237739	−	0.971329i	$-0.423594\pi$
$440$	−4.71244	−	10.8747i	−0.224657	−	0.518429i
$441$	1.06368	−	3.27366i	0.0506512	−	0.155888i
$442$	−3.55623	+	4.89473i	−0.169152	+	0.232818i
$443$		−	6.79550i		−	0.322864i	−0.986884	−	0.161432i	$-0.948389\pi$
$443$		−	6.79550i		−	0.322864i	0.986884	−	0.161432i	$-0.0516112\pi$
$444$	−7.72898	−	5.61543i	−0.366801	−	0.266497i
$445$	0.834275	−	1.41232i	0.0395484	−	0.0669503i
$446$	7.52009	−	5.46366i	0.356087	−	0.258712i
$447$	−6.85098	−	9.42957i	−0.324040	−	0.446003i
$448$	−3.07327	+	0.998566i	−0.145198	+	0.0471778i
$449$	−8.75011			−0.412943			−0.206472	−	0.978453i	$-0.566198\pi$
$449$	−8.75011			−0.412943			−0.206472	+	0.978453i	$0.566198\pi$
$450$	−4.96121	−	0.621629i	−0.233874	−	0.0293039i
$451$	−52.7968			−2.48610
$452$	−4.03794	+	1.31201i	−0.189929	+	0.0617117i
$453$	−3.24666	−	4.46864i	−0.152541	−	0.209955i
$454$	−2.94327	+	2.13841i	−0.138135	+	0.100361i
$455$	−39.1460	+	16.9636i	−1.83519	+	0.795265i
$456$	3.64639	+	2.64926i	0.170758	+	0.124063i
$457$		−	38.1474i		−	1.78446i	−0.451581	−	0.892230i	$-0.649140\pi$
$457$		−	38.1474i		−	1.78446i	0.451581	−	0.892230i	$-0.350860\pi$
$458$	5.83777	−	8.03500i	0.272781	−	0.375451i
$459$	−0.316648	+	0.974542i	−0.0147799	+	0.0454877i
$460$	4.29241	−	0.407951i	0.200135	−	0.0190208i
$461$	−0.392689	−	1.20857i	−0.0182893	−	0.0562888i	0.941495	−	0.337026i	$-0.109421\pi$
$461$	−0.392689	−	1.20857i	−0.0182893	−	0.0562888i	−0.959785	+	0.280737i	$0.909421\pi$
$462$	−16.2892	−	5.29269i	−0.757843	−	0.246238i
$463$	−8.49626	−	2.76060i	−0.394855	−	0.128296i	0.104858	−	0.994487i	$-0.466561\pi$
$463$	−8.49626	−	2.76060i	−0.394855	−	0.128296i	−0.499713	+	0.866191i	$0.666561\pi$
$464$	0.0805798	+	0.247999i	0.00374082	+	0.0115131i
$465$	−3.75890	+	3.31731i	−0.174315	+	0.153837i
$466$	5.80623	−	17.8697i	0.268968	−	0.827799i
$467$	−3.38378	+	4.65737i	−0.156582	+	0.215517i	−0.880100	−	0.474789i	$-0.842524\pi$
$467$	−3.38378	+	4.65737i	−0.156582	+	0.215517i	0.723517	+	0.690306i	$0.242524\pi$
$468$			5.90441i			0.272932i
$469$	24.2922	+	17.6493i	1.12171	+	0.814968i
$470$	2.22737	+	23.4361i	0.102741	+	1.08103i
$471$	5.53616	−	4.02225i	0.255093	−	0.185336i
$472$	−3.81592	−	5.25216i	−0.175642	−	0.241750i
$473$	26.7249	−	8.68344i	1.22881	−	0.399265i
$474$	13.3714			0.614168
$475$	15.4102	−	16.4436i	0.707069	−	0.754486i
$476$	3.31122			0.151770
$477$	−2.19796	+	0.714161i	−0.100638	+	0.0326992i
$478$	5.73200	+	7.88942i	0.262175	+	0.360854i
$479$	−3.74616	+	2.72175i	−0.171167	+	0.124360i	−0.670070	−	0.742298i	$-0.733736\pi$
$479$	−3.74616	+	2.72175i	−0.171167	+	0.124360i	0.498904	+	0.866657i	$0.333736\pi$
$480$	2.18246	+	0.486675i	0.0996154	+	0.0222136i
$481$	45.6351	+	33.1558i	2.08078	+	1.51177i
$482$		−	18.9211i		−	0.861832i
$483$	3.66254	−	5.04105i	0.166651	−	0.229376i
$484$	−5.28204	+	16.2564i	−0.240093	+	0.738929i
$485$	−8.39840	+	37.6621i	−0.381352	+	1.71015i
$486$	0.309017	+	0.951057i	0.0140173	+	0.0431408i
$487$	15.1442	+	4.92064i	0.686248	+	0.222975i	0.631329	−	0.775515i	$-0.282510\pi$
$487$	15.1442	+	4.92064i	0.686248	+	0.222975i	0.0549192	+	0.998491i	$0.482510\pi$
$488$	−3.75186	−	1.21905i	−0.169839	−	0.0551839i
$489$	2.90080	+	8.92773i	0.131178	+	0.403726i
$490$	6.62697	+	3.91464i	0.299376	+	0.176845i
$491$	−1.97176	+	6.06846i	−0.0889844	+	0.273866i	−0.985639	−	0.168864i	$-0.945990\pi$
$491$	−1.97176	+	6.06846i	−0.0889844	+	0.273866i	0.896655	+	0.442730i	$0.145990\pi$
$492$	5.85500	−	8.05872i	0.263964	−	0.363315i
$493$		−	0.267201i		−	0.0120341i
$494$	−21.5298	−	15.6423i	−0.968671	−	0.703780i
$495$	7.84225	+	8.88619i	0.352483	+	0.399404i
$496$	1.81386	−	1.31784i	0.0814445	−	0.0591729i
$497$	16.2164	+	22.3200i	0.727405	+	1.00119i
$498$	−7.12054	+	2.31360i	−0.319079	+	0.103675i
$499$	−12.9135			−0.578087			−0.289044	−	0.957316i	$-0.593337\pi$
$499$	−12.9135			−0.578087			−0.289044	+	0.957316i	$0.593337\pi$
$500$	3.77118	−	10.5251i	0.168652	−	0.470698i
$501$	6.82883			0.305090
$502$	−1.88887	+	0.613732i	−0.0843046	+	0.0273922i
$503$	−0.853483	−	1.17472i	−0.0380549	−	0.0523781i	0.789566	−	0.613666i	$-0.210306\pi$
$503$	−0.853483	−	1.17472i	−0.0380549	−	0.0523781i	−0.827620	+	0.561288i	$0.810306\pi$
$504$	2.61428	−	1.89939i	0.116449	−	0.0846054i
$505$	−17.5263	−	19.8594i	−0.779912	−	0.883731i
$506$	−8.26848	−	6.00740i	−0.367579	−	0.267062i
$507$		−	21.8621i		−	0.970929i
$508$	−5.43754	+	7.48413i	−0.241252	+	0.332055i
$509$	3.83481	−	11.8023i	0.169975	−	0.523130i	−0.829393	−	0.558665i	$-0.811314\pi$
$509$	3.83481	−	11.8023i	0.169975	−	0.523130i	0.999368	+	0.0355355i	$0.0113137\pi$
$510$	−1.97280	−	1.16536i	−0.0873569	−	0.0516029i
$511$	3.94855	+	12.1524i	0.174673	+	0.537590i
$512$	−0.951057	−	0.309017i	−0.0420312	−	0.0136568i
$513$	−4.28659	−	1.39280i	−0.189257	−	0.0614935i
$514$	5.95775	+	18.3361i	0.262785	+	0.808770i
$515$	3.48014	−	15.6064i	0.153353	−	0.687702i
$516$	−1.63830	+	5.04216i	−0.0721220	+	0.221969i
$517$	32.7998	−	45.1450i	1.44253	−	1.98548i
$518$		−	30.8716i		−	1.35642i
$519$	15.2584	+	11.0859i	0.669770	+	0.486617i
$520$	−12.8862	−	2.87353i	−0.565096	−	0.126013i
$521$	−6.42857	+	4.67063i	−0.281641	+	0.204624i	−0.719633	−	0.694355i	$-0.755690\pi$
$521$	−6.42857	+	4.67063i	−0.281641	+	0.204624i	0.437992	+	0.898979i	$0.355690\pi$
$522$	−0.153272	−	0.210961i	−0.00670853	−	0.00923350i
$523$	−33.1258	+	10.7632i	−1.44849	+	0.470643i	−0.924533	−	0.381101i	$-0.875545\pi$
$523$	−33.1258	+	10.7632i	−1.44849	+	0.470643i	−0.523957	+	0.851745i	$0.675545\pi$
$524$	4.86497			0.212527
$525$	−7.79813	−	14.1507i	−0.340338	−	0.617587i
$526$	12.5297			0.546320
$527$	−2.18497	+	0.709940i	−0.0951788	+	0.0309255i
$528$	−3.11543	−	4.28802i	−0.135582	−	0.186612i
$529$	−15.5993	+	11.3335i	−0.678229	+	0.492762i
$530$	−0.488937	−	5.14453i	−0.0212381	−	0.223464i
$531$	5.25216	+	3.81592i	0.227924	+	0.165597i
$532$			14.5646i			0.631457i
$533$	−34.5703	+	47.5820i	−1.49741	+	2.06100i
$534$	0.226687	−	0.697671i	0.00980970	−	0.0301912i
$535$	−5.36593	+	4.73555i	−0.231989	+	0.204736i
$536$	2.87142	+	8.83731i	0.124026	+	0.381714i
$537$	−0.895264	−	0.290889i	−0.0386335	−	0.0125528i
$538$	12.8326	+	4.16955i	0.553251	+	0.179762i
$539$	−5.63778	−	17.3513i	−0.242837	−	0.747374i
$540$	−2.22604	+	0.211563i	−0.0957934	+	0.00910421i
$541$	8.70571	−	26.7934i	0.374288	−	1.15194i	−0.569670	−	0.821873i	$-0.692929\pi$
$541$	8.70571	−	26.7934i	0.374288	−	1.15194i	0.943958	−	0.330065i	$-0.107071\pi$
$542$	15.7606	−	21.6926i	0.676975	−	0.931776i
$543$			14.1057i			0.605335i
$544$	0.828995	+	0.602300i	0.0355429	+	0.0258234i
$545$	20.3028	−	8.79805i	0.869677	−	0.376867i
$546$	−15.4358	+	11.2148i	−0.660591	+	0.479947i
$547$	15.9747	+	21.9873i	0.683029	+	0.940108i	0.999965	−	0.00833839i	$-0.00265422\pi$
$547$	15.9747	+	21.9873i	0.683029	+	0.940108i	−0.316937	+	0.948447i	$0.602654\pi$
$548$	−5.72219	+	1.85925i	−0.244440	+	0.0794233i
$549$	3.94494			0.168366
$550$	−23.2104	+	12.7907i	−0.989695	+	0.545399i
$551$	1.17530			0.0500695
$552$	1.83390	−	0.595870i	0.0780559	−	0.0253619i
$553$	25.3974	+	34.9565i	1.08001	+	1.48650i
$554$	6.60744	−	4.80058i	0.280723	−	0.203957i
$555$	−10.8650	+	18.3930i	−0.461193	+	0.780739i
$556$	4.55250	+	3.30758i	0.193069	+	0.140273i
$557$			6.74857i			0.285946i	0.989727	+	0.142973i	$0.0456663\pi$
$557$			6.74857i			0.285946i	−0.989727	+	0.142973i	$0.954334\pi$
$558$	−1.31784	+	1.81386i	−0.0557888	+	0.0767867i
$559$	9.67318	−	29.7710i	0.409132	−	1.25918i
$560$	2.87303	+	6.62996i	0.121408	+	0.280167i
$561$	1.67832	+	5.16535i	0.0708589	+	0.218081i
$562$	−29.8078	−	9.68515i	−1.25737	−	0.408543i
$563$	10.7542	+	3.49426i	0.453236	+	0.147265i	0.526734	−	0.850030i	$-0.323416\pi$
$563$	10.7542	+	3.49426i	0.453236	+	0.147265i	−0.0734982	+	0.997295i	$0.523416\pi$
$564$	3.25338	+	10.0129i	0.136992	+	0.421618i
$565$	3.77486	+	8.71104i	0.158809	+	0.366476i
$566$	−5.05253	+	15.5501i	−0.212374	+	0.653620i
$567$	−1.89939	+	2.61428i	−0.0797667	+	0.109789i
$568$			8.53771i			0.358234i
$569$	20.4022	+	14.8231i	0.855304	+	0.621415i	0.926603	−	0.376040i	$-0.122714\pi$
$569$	20.4022	+	14.8231i	0.855304	+	0.621415i	−0.0712991	+	0.997455i	$0.522714\pi$
$570$	5.12590	−	8.67748i	0.214700	−	0.363460i
$571$	22.4908	−	16.3405i	0.941209	−	0.683828i	−0.00750262	−	0.999972i	$-0.502388\pi$
$571$	22.4908	−	16.3405i	0.941209	−	0.683828i	0.948711	+	0.316144i	$0.102388\pi$
$572$	18.3948	+	25.3182i	0.769124	+	1.05861i
$573$	−24.2252	+	7.87125i	−1.01202	+	0.328826i
$574$	32.1886			1.34353
$575$	−1.81623	−	9.46876i	−0.0757420	−	0.394875i
$576$	1.00000			0.0416667
$577$	−10.9309	+	3.55168i	−0.455061	+	0.147858i	−0.527574	−	0.849509i	$-0.676898\pi$
$577$	−10.9309	+	3.55168i	−0.455061	+	0.147858i	0.0725129	+	0.997367i	$0.476898\pi$
$578$	9.37518	+	12.9038i	0.389956	+	0.536728i
$579$	−5.36734	+	3.89960i	−0.223059	+	0.162062i
$580$	0.535008	−	0.231841i	0.0222150	−	0.00962668i
$581$	−19.5731	−	14.2207i	−0.812027	−	0.589972i
$582$			17.2567i			0.715313i
$583$	−7.19998	+	9.90993i	−0.298193	+	0.410427i
$584$	−1.22192	+	3.76068i	−0.0505634	+	0.155618i
$585$	13.1434	−	1.24915i	0.543414	−	0.0516461i
$586$	−8.71017	−	26.8072i	−0.359814	−	1.10739i
$587$	−40.1613	−	13.0492i	−1.65763	−	0.538598i	−0.677259	−	0.735745i	$-0.736832\pi$
$587$	−40.1613	−	13.0492i	−1.65763	−	0.538598i	−0.980374	+	0.197147i	$0.936832\pi$
$588$	3.27366	+	1.06368i	0.135003	+	0.0438652i
$589$	−3.12272	−	9.61074i	−0.128669	−	0.396004i
$590$	−10.8842	+	9.60553i	−0.448095	+	0.395454i
$591$	−3.14509	+	9.67960i	−0.129372	+	0.398166i
$592$	5.61543	−	7.72898i	0.230793	−	0.317659i
$593$		−	0.0131121i		−	0.000538451i	−1.00000		0.000269225i	$-0.999914\pi$
$593$		−	0.0131121i		−	0.000538451i	1.00000		0.000269225i	$-8.56971e-5\pi$
$594$	4.28802	+	3.11543i	0.175940	+	0.127828i
$595$	−0.700532	−	7.37091i	−0.0287190	−	0.302178i
$596$	9.42957	−	6.85098i	0.386250	−	0.280627i
$597$	−1.48262	−	2.04065i	−0.0606796	−	0.0835183i
$598$	−10.8281	+	3.51826i	−0.442794	+	0.143872i
$599$	−2.38072			−0.0972738			−0.0486369	−	0.998817i	$-0.515488\pi$
$599$	−2.38072			−0.0972738			−0.0486369	+	0.998817i	$0.515488\pi$
$600$	0.621629	−	4.96121i	0.0253779	−	0.202540i
$601$	−19.6020			−0.799581			−0.399790	−	0.916607i	$-0.630917\pi$
$601$	−19.6020			−0.799581			−0.399790	+	0.916607i	$0.630917\pi$
$602$	−16.2934	+	5.29404i	−0.664068	+	0.215769i
$603$	−5.46176	−	7.51747i	−0.222420	−	0.306135i
$604$	4.46864	−	3.24666i	0.181826	−	0.132105i
$605$	37.3049	+	8.31875i	1.51666	+	0.338205i
$606$	−9.58313	−	6.96255i	−0.389288	−	0.282834i
$607$		−	10.7155i		−	0.434930i	−0.976068	−	0.217465i	$-0.930221\pi$
$607$		−	10.7155i		−	0.434930i	0.976068	−	0.217465i	$-0.0697788\pi$
$608$	−2.64926	+	3.64639i	−0.107442	+	0.147881i
$609$	0.260388	−	0.801391i	0.0105514	−	0.0324740i
$610$	−1.91990	+	8.60968i	−0.0777346	+	0.348596i
$611$	−19.2093	−	59.1202i	−0.777126	−	2.39175i
$612$	−0.974542	−	0.316648i	−0.0393935	−	0.0127997i
$613$	1.10735	+	0.359801i	0.0447256	+	0.0145322i	0.331294	−	0.943527i	$-0.392515\pi$
$613$	1.10735	+	0.359801i	0.0447256	+	0.0145322i	−0.286569	+	0.958060i	$0.592515\pi$
$614$	4.49223	+	13.8257i	0.181292	+	0.557959i
$615$	−19.1777	−	11.3285i	−0.773320	−	0.456810i
$616$	5.29269	−	16.2892i	0.213248	−	0.656311i
$617$	−13.3095	+	18.3190i	−0.535821	+	0.737495i	−0.988004	−	0.154431i	$-0.950646\pi$
$617$	−13.3095	+	18.3190i	−0.535821	+	0.737495i	0.452182	+	0.891926i	$0.350646\pi$
$618$		−	7.15084i		−	0.287649i
$619$	20.0413	+	14.5609i	0.805529	+	0.585251i	0.912531	−	0.409008i	$-0.134125\pi$
$619$	20.0413	+	14.5609i	0.805529	+	0.585251i	−0.107002	+	0.994259i	$0.534125\pi$
$620$	−3.31731	−	3.75890i	−0.133227	−	0.150961i
$621$	−1.56001	+	1.13341i	−0.0626009	+	0.0454822i
$622$	8.51844	+	11.7246i	0.341559	+	0.470115i
$623$	2.25447	−	0.732522i	0.0903235	−	0.0293479i
$624$	−5.90441			−0.236366
$625$	−24.2272	−	6.16806i	−0.969086	−	0.246722i
$626$	−31.5288			−1.26014
$627$	−22.7201	+	7.38222i	−0.907355	+	0.294817i
$628$	4.02225	+	5.53616i	0.160505	+	0.220917i
$629$	−7.91983	+	5.75410i	−0.315784	+	0.229431i
$630$	−4.78119	−	5.41765i	−0.190487	−	0.215844i
$631$	26.4156	+	19.1920i	1.05159	+	0.764023i	0.972514	−	0.232845i	$-0.0748036\pi$
$631$	26.4156	+	19.1920i	1.05159	+	0.764023i	0.0790740	+	0.996869i	$0.474804\pi$
$632$			13.3714i			0.531885i
$633$	9.26574	−	12.7532i	0.368280	−	0.506894i
$634$	4.62940	−	14.2478i	0.183857	−	0.565853i
$635$	17.8103	+	10.5208i	0.706782	+	0.417505i
$636$	−0.714161	−	2.19796i	−0.0283183	−	0.0871548i
$637$	−19.3290	−	6.28038i	−0.765844	−	0.248838i
$638$	−1.31447	−	0.427096i	−0.0520402	−	0.0169089i
$639$	−2.63830	−	8.11984i	−0.104369	−	0.321216i
$640$	−0.486675	+	2.18246i	−0.0192375	+	0.0862694i
$641$	−8.29842	+	25.5399i	−0.327768	+	1.00877i	0.642408	+	0.766363i	$0.277936\pi$
$641$	−8.29842	+	25.5399i	−0.327768	+	1.00877i	−0.970176	+	0.242403i	$0.922064\pi$
$642$	−1.88125	+	2.58932i	−0.0742472	+	0.102193i
$643$			17.1051i			0.674559i	0.941405	+	0.337279i	$0.109507\pi$
$643$			17.1051i			0.674559i	−0.941405	+	0.337279i	$0.890493\pi$
$644$	5.04105	+	3.66254i	0.198645	+	0.144324i
$645$	11.5706	+	2.58018i	0.455593	+	0.101594i
$646$	3.73643	−	2.71468i	0.147008	−	0.106808i
$647$	−26.9285	−	37.0639i	−1.05867	−	1.45713i	−0.881043	−	0.473036i	$-0.843158\pi$
$647$	−26.9285	−	37.0639i	−1.05867	−	1.45713i	−0.177626	−	0.984098i	$-0.556842\pi$
$648$	−0.951057	+	0.309017i	−0.0373610	+	0.0121393i
$649$	34.4096			1.35069
$650$	−3.67035	+	29.2930i	−0.143963	+	1.14897i
$651$	−7.24502			−0.283955
$652$	−8.92773	+	2.90080i	−0.349637	+	0.113604i
$653$	6.73337	+	9.26769i	0.263497	+	0.362673i	0.920181	−	0.391493i	$-0.128041\pi$
$653$	6.73337	+	9.26769i	0.263497	+	0.362673i	−0.656684	+	0.754166i	$0.728041\pi$
$654$	8.00567	−	5.81646i	0.313046	−	0.227442i
$655$	−1.02925	−	10.8296i	−0.0402160	−	0.423148i
$656$	8.05872	+	5.85500i	0.314640	+	0.228599i
$657$		−	3.95422i		−	0.154269i
$658$	−19.9971	+	27.5236i	−0.779566	+	1.07298i
$659$	−12.3601	+	38.0405i	−0.481482	+	1.48185i	0.355531	+	0.934664i	$0.384300\pi$
$659$	−12.3601	+	38.0405i	−0.481482	+	1.48185i	−0.837013	+	0.547183i	$0.815700\pi$
$660$	−8.88619	+	7.84225i	−0.345894	+	0.305259i
$661$	−1.75871	−	5.41276i	−0.0684060	−	0.210532i	0.911010	−	0.412384i	$-0.135304\pi$
$661$	−1.75871	−	5.41276i	−0.0684060	−	0.210532i	−0.979416	+	0.201852i	$0.935304\pi$
$662$	20.5594	+	6.68014i	0.799062	+	0.259631i
$663$	5.75410	+	1.86962i	0.223471	+	0.0726100i
$664$	−2.31360	−	7.12054i	−0.0897852	−	0.276331i
$665$	32.4214	−	3.08134i	1.25725	−	0.119489i
$666$	−2.95221	+	9.08596i	−0.114396	+	0.352074i
$667$	0.295550	−	0.406790i	0.0114438	−	0.0157510i
$668$			6.82883i			0.264215i
$669$	−7.52009	−	5.46366i	−0.290743	−	0.211237i
$670$	19.0647	−	8.26153i	0.736534	−	0.319171i
$671$	16.9160	−	12.2902i	0.653034	−	0.474457i
$672$	1.89939	+	2.61428i	0.0732704	+	0.100848i
$673$	46.0813	−	14.9727i	1.77630	−	0.577156i	0.777633	−	0.628719i	$-0.216420\pi$
$673$	46.0813	−	14.9727i	1.77630	−	0.577156i	0.998670	+	0.0515628i	$0.0164202\pi$
$674$	7.59495			0.292547
$675$	0.941893	+	4.91048i	0.0362535	+	0.189005i
$676$	21.8621			0.840849
$677$	−17.6033	+	5.71966i	−0.676550	+	0.219824i	−0.627084	−	0.778951i	$-0.715752\pi$
$677$	−17.6033	+	5.71966i	−0.676550	+	0.219824i	−0.0494656	+	0.998776i	$0.515752\pi$
$678$	2.49559	+	3.43488i	0.0958424	+	0.131916i
$679$	−45.1138	+	32.7771i	−1.73131	+	1.25787i
$680$	1.16536	−	1.97280i	0.0446894	−	0.0756533i
$681$	2.94327	+	2.13841i	0.112787	+	0.0819442i
$682$			11.8835i			0.455043i
$683$	21.1745	−	29.1442i	0.810219	−	1.11517i	−0.181070	−	0.983470i	$-0.557956\pi$
$683$	21.1745	−	29.1442i	0.810219	−	1.11517i	0.991289	−	0.131701i	$-0.0420439\pi$
$684$	1.39280	−	4.28659i	0.0532549	−	0.163902i
$685$	5.34936	+	12.3445i	0.204389	+	0.471657i
$686$	−3.55277	−	10.9343i	−0.135645	−	0.417474i
$687$	−9.44571	−	3.06910i	−0.360376	−	0.117093i
$688$	−5.04216	−	1.63830i	−0.192231	−	0.0624595i
$689$	4.21670	+	12.9777i	0.160643	+	0.494410i
$690$	−1.71441	−	3.95626i	−0.0652666	−	0.150612i
$691$	−4.47133	+	13.7613i	−0.170097	+	0.523506i	−0.999376	−	0.0353301i	$-0.988752\pi$
$691$	−4.47133	+	13.7613i	−0.170097	+	0.523506i	0.829278	+	0.558836i	$0.188752\pi$
$692$	−11.0859	+	15.2584i	−0.421422	+	0.580038i
$693$			17.1275i			0.650620i
$694$	−6.09436	−	4.42781i	−0.231339	−	0.168077i
$695$	6.39967	−	10.8338i	0.242753	−	0.410949i
$696$	0.210961	−	0.153272i	0.00799644	−	0.00580976i
$697$	−5.99958	−	8.25772i	−0.227250	−	0.312783i
$698$	−17.8349	+	5.79489i	−0.675059	+	0.219340i
$699$	−18.7893			−0.710678
$700$	14.1507	−	7.79813i	0.534846	−	0.294742i
$701$	8.31284			0.313972			0.156986	−	0.987601i	$-0.449822\pi$
$701$	8.31284			0.313972			0.156986	+	0.987601i	$0.449822\pi$
$702$	5.61543	−	1.82456i	0.211941	−	0.0688637i
$703$	−25.3098	−	34.8359i	−0.954576	−	1.31386i
$704$	4.28802	−	3.11543i	0.161611	−	0.117417i
$705$	21.6008	−	9.36050i	0.813532	−	0.352537i
$706$	−3.53223	−	2.56631i	−0.132937	−	0.0965845i
$707$		−	38.2776i		−	1.43958i
$708$	−3.81592	+	5.25216i	−0.143411	+	0.197388i
$709$	2.77255	−	8.53302i	0.104125	−	0.320464i	−0.885399	−	0.464832i	$-0.846115\pi$
$709$	2.77255	−	8.53302i	0.104125	−	0.320464i	0.989524	+	0.144368i	$0.0461148\pi$
$710$	19.0053	−	1.80626i	0.713254	−	0.0677878i
$711$	−4.13198	−	12.7169i	−0.154962	−	0.476923i
$712$	0.697671	+	0.226687i	0.0261463	+	0.00849545i
$713$	−4.11169	−	1.33597i	−0.153984	−	0.0500324i
$714$	−1.02322	−	3.14916i	−0.0382932	−	0.117854i
$715$	52.4677	−	46.3039i	1.96218	−	1.73167i
$716$	0.290889	−	0.895264i	0.0108710	−	0.0334576i
$717$	5.73200	−	7.88942i	0.214065	−	0.294636i
$718$			0.737212i			0.0275125i
$719$	22.7445	+	16.5249i	0.848228	+	0.616274i	0.924657	−	0.380801i	$-0.124352\pi$
$719$	22.7445	+	16.5249i	0.848228	+	0.616274i	−0.0764289	+	0.997075i	$0.524352\pi$
$720$	−0.211563	−	2.22604i	−0.00788448	−	0.0829595i
$721$	18.6943	−	13.5822i	0.696212	−	0.505828i
$722$	0.772769	+	1.06363i	0.0287595	+	0.0395840i
$723$	−17.9950	+	5.84694i	−0.669242	+	0.217450i
$724$	−14.1057			−0.524235
$725$	−0.629274	−	1.14190i	−0.0233707	−	0.0424090i
$726$	17.0930			0.634382
$727$	23.6592	−	7.68734i	0.877471	−	0.285108i	0.164564	−	0.986366i	$-0.447378\pi$
$727$	23.6592	−	7.68734i	0.877471	−	0.285108i	0.712907	+	0.701259i	$0.247378\pi$
$728$	−11.2148	−	15.4358i	−0.415647	−	0.572088i
$729$	0.809017	−	0.587785i	0.0299636	−	0.0217698i
$730$	8.62994	+	1.92442i	0.319408	+	0.0712260i
$731$	4.39503	+	3.19318i	0.162556	+	0.118104i
$732$			3.94494i			0.145809i
$733$	−3.97108	+	5.46572i	−0.146675	+	0.201881i	−0.876033	−	0.482252i	$-0.839819\pi$
$733$	−3.97108	+	5.46572i	−0.146675	+	0.201881i	0.729358	+	0.684133i	$0.239819\pi$
$734$	−5.82807	+	17.9370i	−0.215118	+	0.662065i
$735$	1.67520	−	7.51232i	0.0617906	−	0.277096i
$736$	0.595870	+	1.83390i	0.0219640	+	0.0675984i
$737$	−46.8403	−	15.2193i	−1.72538	−	0.560611i
$738$	−9.47359	−	3.07816i	−0.348728	−	0.113308i
$739$	1.57339	+	4.84241i	0.0578783	+	0.178131i	0.975816	−	0.218593i	$-0.0701469\pi$
$739$	1.57339	+	4.84241i	0.0578783	+	0.178131i	−0.917938	+	0.396724i	$0.870147\pi$
$740$	−18.3930	−	10.8650i	−0.676140	−	0.399405i
$741$	−8.22365	+	25.3098i	−0.302103	+	0.929778i
$742$	4.38962	−	6.04179i	0.161148	−	0.221801i
$743$			16.0999i			0.590647i	0.955397	+	0.295324i	$0.0954274\pi$
$743$			16.0999i			0.590647i	−0.955397	+	0.295324i	$0.904573\pi$
$744$	−1.81386	−	1.31784i	−0.0664992	−	0.0483145i
$745$	−17.2455	−	19.5412i	−0.631826	−	0.715933i
$746$	24.1383	−	17.5375i	0.883768	−	0.642095i
$747$	4.40074	+	6.05709i	0.161015	+	0.221617i
$748$	−5.16535	+	1.67832i	−0.188864	+	0.0613656i
$749$	−10.3424			−0.377905
$750$	−11.1753	−	0.334163i	−0.408066	−	0.0122019i
$751$	−25.4366			−0.928196			−0.464098	−	0.885784i	$-0.653622\pi$
$751$	−25.4366			−0.928196			−0.464098	+	0.885784i	$0.653622\pi$
$752$	−10.0129	+	3.25338i	−0.365132	+	0.118639i
$753$	1.16739	+	1.60677i	0.0425420	+	0.0585540i
$754$	−1.24560	+	0.904981i	−0.0453620	+	0.0329575i
$755$	−8.17257	−	9.26048i	−0.297430	−	0.337024i
$756$	−2.61428	−	1.89939i	−0.0950804	−	0.0690800i
$757$			12.4947i			0.454129i	0.973880	+	0.227064i	$0.0729128\pi$
$757$			12.4947i			0.454129i	−0.973880	+	0.227064i	$0.927087\pi$
$758$	14.9783	−	20.6159i	0.544037	−	0.748802i
$759$	−3.15828	+	9.72018i	−0.114638	+	0.352820i
$760$	8.67748	+	5.12590i	0.314765	+	0.185936i
$761$	−3.58120	−	11.0218i	−0.129818	−	0.399540i	0.864930	−	0.501893i	$-0.167363\pi$
$761$	−3.58120	−	11.0218i	−0.129818	−	0.399540i	−0.994748	+	0.102353i	$0.967363\pi$
$762$	8.79813	+	2.85868i	0.318723	+	0.103559i
$763$	30.4117	+	9.88136i	1.10098	+	0.357729i
$764$	−7.87125	−	24.2252i	−0.284772	−	0.876438i
$765$	−0.498693	+	2.23636i	−0.0180303	+	0.0808557i
$766$	9.77832	−	30.0946i	0.353305	−	1.08736i
$767$	22.5307	−	31.0109i	0.813538	−	1.11974i
$768$			1.00000i			0.0360844i
$769$	−19.2155	−	13.9609i	−0.692927	−	0.503441i	0.184694	−	0.982796i	$-0.440871\pi$
$769$	−19.2155	−	13.9609i	−0.692927	−	0.503441i	−0.877621	+	0.479355i	$0.840871\pi$
$770$	−37.3801	−	8.33553i	−1.34709	−	0.300391i
$771$	15.5976	−	11.3323i	0.561734	−	0.408124i
$772$	−3.89960	−	5.36734i	−0.140350	−	0.193175i
$773$	11.5030	−	3.73754i	0.413732	−	0.134430i	−0.0947521	−	0.995501i	$-0.530206\pi$
$773$	11.5030	−	3.73754i	0.413732	−	0.134430i	0.508485	+	0.861071i	$0.330206\pi$
$774$	5.30164			0.190564
$775$	−7.66564	+	8.17971i	−0.275358	+	0.293824i
$776$	−17.2567			−0.619479
$777$	−29.3606	+	9.53984i	−1.05331	+	0.342240i
$778$	−7.08164	−	9.74704i	−0.253889	−	0.349448i
$779$	36.3221	−	26.3896i	1.30138	−	0.945504i
$780$	1.24915	+	13.1434i	0.0447269	+	0.470611i
$781$	−36.6099	−	26.5986i	−1.31000	−	0.951774i
$782$		−	1.97589i		−	0.0706577i
$783$	−0.153272	+	0.210961i	−0.00547749	+	0.00753912i
$784$	−1.06368	+	3.27366i	−0.0379884	+	0.116916i
$785$	11.4727	−	10.1249i	0.409479	−	0.361374i
$786$	−1.50336	−	4.62686i	−0.0536230	−	0.165035i
$787$	−19.3085	−	6.27371i	−0.688274	−	0.223634i	−0.0560597	−	0.998427i	$-0.517854\pi$
$787$	−19.3085	−	6.27371i	−0.688274	−	0.223634i	−0.632214	+	0.774794i	$0.717854\pi$
$788$	−9.67960	−	3.14509i	−0.344821	−	0.112039i
$789$	−3.87188	−	11.9164i	−0.137843	−	0.424236i
$790$	29.7652	−	2.82889i	1.05900	−	0.100647i
$791$	−4.23966	+	13.0483i	−0.150745	+	0.463945i
$792$	−3.11543	+	4.28802i	−0.110702	+	0.152368i
$793$		−	23.2925i		−	0.827142i
$794$	20.8374	+	15.1393i	0.739493	+	0.537273i
$795$	−4.74165	+	2.05475i	−0.168169	+	0.0728746i
$796$	2.04065	−	1.48262i	0.0723290	−	0.0525501i
$797$	18.6343	+	25.6479i	0.660059	+	0.908493i	0.999483	−	0.0321399i	$-0.0102322\pi$
$797$	18.6343	+	25.6479i	0.660059	+	0.908493i	−0.339424	+	0.940633i	$0.610232\pi$
$798$	13.8518	−	4.50072i	0.490348	−	0.159324i
$799$	10.7881			0.381657
$800$	4.96121	+	0.621629i	0.175405	+	0.0219779i
$801$	−0.733574			−0.0259196
$802$	25.0314	−	8.13321i	0.883891	−	0.287194i
$803$	−12.3191	−	16.9558i	−0.434731	−	0.598356i
$804$	7.51747	−	5.46176i	0.265121	−	0.192621i
$805$	7.08645	−	11.9964i	0.249764	−	0.422818i
$806$	10.7098	+	7.78109i	0.377235	+	0.274077i
$807$		−	13.4929i		−	0.474974i
$808$	6.96255	−	9.58313i	0.244942	−	0.337133i
$809$	−2.69637	+	8.29856i	−0.0947992	+	0.291762i	−0.987201	−	0.159479i	$-0.949019\pi$
$809$	−2.69637	+	8.29856i	−0.0947992	+	0.291762i	0.892402	+	0.451241i	$0.149019\pi$
$810$	0.889091	+	2.05171i	0.0312395	+	0.0720898i
$811$	4.69774	+	14.4581i	0.164960	+	0.507694i	0.999033	−	0.0439592i	$-0.0139972\pi$
$811$	4.69774	+	14.4581i	0.164960	+	0.507694i	−0.834074	+	0.551653i	$0.813997\pi$
$812$	0.801391	+	0.260388i	0.0281233	+	0.00913782i
$813$	−25.5012	−	8.28583i	−0.894365	−	0.290597i
$814$	15.6475	+	48.1582i	0.548446	+	1.68794i
$815$	8.34605	+	19.2598i	0.292349	+	0.674640i
$816$	0.316648	−	0.974542i	0.0110849	−	0.0341158i
$817$	−14.0454	+	19.3318i	−0.491387	+	0.676336i
$818$			36.7714i			1.28568i
$819$	15.4358	+	11.2148i	0.539370	+	0.391875i
$820$	11.3285	−	19.1777i	0.395609	−	0.669714i
$821$	−13.3160	+	9.67465i	−0.464732	+	0.337648i	−0.795385	−	0.606105i	$-0.792731\pi$
$821$	−13.3160	+	9.67465i	−0.464732	+	0.337648i	0.330653	+	0.943753i	$0.392731\pi$
$822$	3.53651	+	4.86758i	0.123350	+	0.169776i
$823$	−21.8728	+	7.10692i	−0.762439	+	0.247732i	−0.664325	−	0.747444i	$-0.731281\pi$
$823$	−21.8728	+	7.10692i	−0.762439	+	0.247732i	−0.0981141	+	0.995175i	$0.531281\pi$
$824$	7.15084			0.249111
$825$	19.3371	+	18.1219i	0.673232	+	0.630922i
$826$	−20.9785			−0.729936
$827$	23.5214	−	7.64257i	0.817919	−	0.265758i	0.129971	−	0.991518i	$-0.458512\pi$
$827$	23.5214	−	7.64257i	0.817919	−	0.265758i	0.687948	+	0.725760i	$0.258512\pi$
$828$	−1.13341	−	1.56001i	−0.0393888	−	0.0542140i
$829$	16.8789	−	12.2632i	0.586227	−	0.425919i	−0.254736	−	0.967011i	$-0.581989\pi$
$829$	16.8789	−	12.2632i	0.586227	−	0.425919i	0.840964	+	0.541091i	$0.181989\pi$
$830$	−15.3611	+	6.65661i	−0.533192	+	0.231054i
$831$	−6.60744	−	4.80058i	−0.229209	−	0.166530i
$832$		−	5.90441i		−	0.204699i
$833$	2.07319	−	2.85350i	0.0718319	−	0.0988681i
$834$	1.73890	−	5.35178i	0.0602132	−	0.185317i
$835$	15.2012	−	1.44473i	0.526060	−	0.0499968i
$836$	−7.38222	−	22.7201i	−0.255319	−	0.785792i
$837$	2.13232	+	0.692831i	0.0737036	+	0.0239478i
$838$	−30.1718	−	9.80341i	−1.04227	−	0.338653i
$839$	7.29166	+	22.4414i	0.251736	+	0.774764i	0.994455	+	0.105161i	$0.0335357\pi$
$839$	7.29166	+	22.4414i	0.251736	+	0.774764i	−0.742719	+	0.669603i	$0.766464\pi$
$840$	5.41765	−	4.78119i	0.186927	−	0.164967i
$841$	−8.94048	+	27.5160i	−0.308292	+	0.948827i
$842$	−5.18266	+	7.13332i	−0.178606	+	0.245830i
$843$			31.3418i			1.07947i
$844$	12.7532	+	9.26574i	0.438983	+	0.318940i
$845$	−4.62520	−	48.6658i	−0.159112	−	1.67415i
$846$	8.51747	−	6.18830i	0.292837	−	0.212758i
$847$	32.4663	+	44.6860i	1.11555	+	1.53543i
$848$	2.19796	−	0.714161i	0.0754783	−	0.0245244i
$849$	16.3503			0.561142
$850$	−4.63807	−	2.17676i	−0.159084	−	0.0746622i
$851$	−18.4218			−0.631493
$852$	8.11984	−	2.63830i	0.278181	−	0.0903866i
$853$	15.4957	+	21.3280i	0.530563	+	0.730257i	0.987216	−	0.159388i	$-0.0509520\pi$
$853$	15.4957	+	21.3280i	0.530563	+	0.730257i	−0.456653	+	0.889645i	$0.650952\pi$
$854$	−10.3132	+	7.49296i	−0.352910	+	0.256404i
$855$	−9.83677	−	2.19353i	−0.336410	−	0.0750173i
$856$	−2.58932	−	1.88125i	−0.0885013	−	0.0643000i
$857$			16.0891i			0.549593i	0.961502	+	0.274797i	$0.0886105\pi$
$857$			16.0891i			0.549593i	−0.961502	+	0.274797i	$0.911389\pi$
$858$	18.3948	−	25.3182i	0.627987	−	0.864351i
$859$	−3.26846	+	10.0593i	−0.111519	+	0.343219i	−0.991205	−	0.132335i	$-0.957752\pi$
$859$	−3.26846	+	10.0593i	−0.111519	+	0.343219i	0.879686	+	0.475554i	$0.157752\pi$
$860$	−2.58018	+	11.5706i	−0.0879833	+	0.394555i
$861$	−9.94684	−	30.6132i	−0.338987	−	1.04330i
$862$	−22.3560	−	7.26392i	−0.761450	−	0.247410i
$863$	39.7177	+	12.9051i	1.35201	+	0.439293i	0.893366	−	0.449329i	$-0.148337\pi$
$863$	39.7177	+	12.9051i	1.35201	+	0.439293i	0.458640	+	0.888622i	$0.348337\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	36.3112	+	21.4495i	1.23462	+	0.729304i
$866$	−2.59671	+	7.99185i	−0.0882397	+	0.271574i
$867$	9.37518	−	12.9038i	0.318398	−	0.438237i
$868$		−	7.24502i		−	0.245912i
$869$	−57.3368	−	41.6576i	−1.94502	−	1.41314i
$870$	−0.385820	−	0.437180i	−0.0130805	−	0.0148218i
$871$	−44.3862	+	32.2485i	−1.50397	+	1.09270i
$872$	5.81646	+	8.00567i	0.196970	+	0.271106i
$873$	16.4121	−	5.33261i	0.555465	−	0.180481i
$874$	8.69109			0.293980
$875$	−20.3527	−	29.8502i	−0.688047	−	1.00912i
$876$	3.95422			0.133601
$877$	−30.2690	+	9.83498i	−1.02211	+	0.332104i	−0.771667	−	0.636027i	$-0.780577\pi$
$877$	−30.2690	+	9.83498i	−1.02211	+	0.332104i	−0.250444	+	0.968131i	$0.580577\pi$
$878$	−20.9443	−	28.8273i	−0.706835	−	0.972875i
$879$	−22.8035	+	16.5677i	−0.769144	+	0.558816i
$880$	−7.84225	−	8.88619i	−0.264362	−	0.299553i
$881$	40.1535	+	29.1732i	1.35280	+	0.982870i	0.998866	+	0.0476012i	$0.0151577\pi$
$881$	40.1535	+	29.1732i	1.35280	+	0.982870i	0.353938	+	0.935269i	$0.384842\pi$
$882$		−	3.44213i		−	0.115902i
$883$	−2.97477	+	4.09442i	−0.100109	+	0.137788i	−0.856133	−	0.516756i	$-0.827139\pi$
$883$	−2.97477	+	4.09442i	−0.100109	+	0.137788i	0.756024	+	0.654544i	$0.227139\pi$
$884$	−1.86962	+	5.75410i	−0.0628821	+	0.193531i
$885$	12.4988	+	7.38321i	0.420143	+	0.248184i
$886$	−2.09992	−	6.46290i	−0.0705483	−	0.217125i
$887$	−10.5132	−	3.41594i	−0.352998	−	0.114696i	0.127150	−	0.991884i	$-0.459417\pi$
$887$	−10.5132	−	3.41594i	−0.352998	−	0.114696i	−0.480148	+	0.877187i	$0.659417\pi$
$888$	−9.08596	−	2.95221i	−0.304905	−	0.0990696i
$889$	9.23763	+	28.4305i	0.309820	+	0.953529i
$890$	0.357012	−	1.60100i	0.0119671	−	0.0536656i
$891$	1.63788	−	5.04087i	0.0548710	−	0.168876i
$892$	5.46366	−	7.52009i	0.182937	−	0.251791i
$893$			47.4524i			1.58793i
$894$	−9.42957	−	6.85098i	−0.315372	−	0.229131i
$895$	−2.05443	−	0.458125i	−0.0686721	−	0.0153134i
$896$	−2.61428	+	1.89939i	−0.0873370	+	0.0634540i
$897$	6.69213	+	9.21092i	0.223444	+	0.307544i
$898$	−8.32185	+	2.70393i	−0.277704	+	0.0902314i
$899$	−0.584641			−0.0194989
$900$	−4.91048	+	0.941893i	−0.163683	+	0.0313964i
$901$	−2.36814			−0.0788942
$902$	−50.2127	+	16.3151i	−1.67190	+	0.543234i
$903$	10.0699	+	13.8600i	0.335104	+	0.461231i
$904$	−3.43488	+	2.49559i	−0.114242	+	0.0830020i
$905$	2.98425	+	31.3999i	0.0991997	+	1.04377i
$906$	−4.46864	−	3.24666i	−0.148461	−	0.107863i
$907$			7.57086i			0.251386i	0.992069	+	0.125693i	$0.0401155\pi$
$907$			7.57086i			0.251386i	−0.992069	+	0.125693i	$0.959885\pi$
$908$	−2.13841	+	2.94327i	−0.0709658	+	0.0976760i
$909$	−3.66043	+	11.2656i	−0.121409	+	0.373658i
$910$	−31.9880	+	28.2301i	−1.06039	+	0.935819i
$911$	11.0530	+	34.0177i	0.366203	+	1.12706i	0.949224	+	0.314601i	$0.101871\pi$
$911$	11.0530	+	34.0177i	0.366203	+	1.12706i	−0.583021	+	0.812457i	$0.698129\pi$
$912$	4.28659	+	1.39280i	0.141943	+	0.0461201i
$913$	37.7409	+	12.2628i	1.24904	+	0.405838i
$914$	−11.7882	−	36.2803i	−0.389919	−	1.20005i
$915$	8.78158	−	0.834602i	0.290310	−	0.0275911i
$916$	3.06910	−	9.44571i	0.101406	−	0.312095i
$917$	9.24046	−	12.7184i	0.305147	−	0.419998i
$918$			1.02469i			0.0338199i
$919$	−40.1464	−	29.1680i	−1.32431	−	0.962165i	−0.999868	−	0.0162579i	$-0.994825\pi$
$919$	−40.1464	−	29.1680i	−1.32431	−	0.962165i	−0.324438	−	0.945907i	$-0.605175\pi$
$920$	3.95626	−	1.71441i	0.130434	−	0.0565225i
$921$	11.7608	−	8.54474i	0.387532	−	0.281559i
$922$	−0.746939	−	1.02807i	−0.0245991	−	0.0338578i
$923$	−47.9429	+	15.5776i	−1.57806	+	0.512743i
$924$	−17.1275			−0.563453
$925$	−20.2946	+	43.2421i	−0.667282	+	1.42179i
$926$	−8.93349			−0.293573
$927$	−6.80085	+	2.20973i	−0.223369	+	0.0725771i
$928$	0.153272	+	0.210961i	0.00503140	+	0.00692512i
$929$	−13.1559	+	9.55836i	−0.431633	+	0.313599i	−0.782301	−	0.622900i	$-0.785954\pi$
$929$	−13.1559	+	9.55836i	−0.431633	+	0.313599i	0.350669	+	0.936500i	$0.385954\pi$
$930$	−2.54982	+	4.31652i	−0.0836120	+	0.141544i
$931$	12.5513	+	9.11908i	0.411353	+	0.298866i
$932$		−	18.7893i		−	0.615465i
$933$	8.51844	−	11.7246i	0.278881	−	0.383847i
$934$	−1.77896	+	5.47507i	−0.0582092	+	0.179150i
$935$	4.82881	+	11.1432i	0.157919	+	0.364421i
$936$	1.82456	+	5.61543i	0.0596377	+	0.183546i
$937$	−0.541982	−	0.176101i	−0.0177058	−	0.00575296i	0.300151	−	0.953892i	$-0.402963\pi$
$937$	−0.541982	−	0.176101i	−0.0177058	−	0.00575296i	−0.317857	+	0.948139i	$0.602963\pi$
$938$	28.5571	+	9.27878i	0.932424	+	0.302963i
$939$	9.74294	+	29.9857i	0.317949	+	0.978545i
$940$	9.36050	+	21.6008i	0.305306	+	0.704539i
$941$	2.16169	−	6.65300i	0.0704691	−	0.216882i	−0.909619	−	0.415443i	$-0.863627\pi$
$941$	2.16169	−	6.65300i	0.0704691	−	0.216882i	0.980089	+	0.198561i	$0.0636267\pi$
$942$	4.02225	−	5.53616i	0.131052	−	0.180378i
$943$		−	19.2078i		−	0.625491i
$944$	−5.25216	−	3.81592i	−0.170943	−	0.124198i
$945$	−3.67502	+	6.22132i	−0.119548	+	0.202380i
$946$	22.7335	−	16.5169i	0.739131	−	0.537010i
$947$	20.2563	+	27.8804i	0.658241	+	0.905991i	0.999422	−	0.0340070i	$-0.0108269\pi$
$947$	20.2563	+	27.8804i	0.658241	+	0.905991i	−0.341181	+	0.939998i	$0.610827\pi$
$948$	12.7169	−	4.13198i	0.413027	−	0.134201i
$949$	−23.3473			−0.757886
$950$	9.57462	−	20.4008i	0.310642	−	0.661891i
$951$	−14.9810			−0.485794
$952$	3.14916	−	1.02322i	0.102065	−	0.0331629i
$953$	−24.7083	−	34.0081i	−0.800382	−	1.10163i	−0.992737	−	0.120305i	$-0.961613\pi$
$953$	−24.7083	−	34.0081i	−0.800382	−	1.10163i	0.192355	−	0.981325i	$-0.438387\pi$
$954$	−1.86970	+	1.35841i	−0.0605337	+	0.0439803i
$955$	−52.2610	+	22.6469i	−1.69113	+	0.732835i
$956$	7.88942	+	5.73200i	0.255162	+	0.185386i
$957$			1.38211i			0.0446773i
$958$	−2.72175	+	3.74616i	−0.0879356	+	0.121033i
$959$	−6.00804	+	18.4908i	−0.194010	+	0.597100i
$960$	2.22604	−	0.211563i	0.0718450	−	0.00682816i
$961$	−8.02616	−	24.7020i	−0.258909	−	0.796839i
$962$	53.6472	+	17.4310i	1.72966	+	0.561999i
$963$	3.04393	+	0.989034i	0.0980894	+	0.0318712i
$964$	−5.84694	−	17.9950i	−0.188317	−	0.579580i
$965$	−11.1229	+	9.81618i	−0.358058	+	0.315994i
$966$	1.92551	−	5.92611i	0.0619523	−	0.190669i
$967$	7.03499	−	9.68283i	0.226230	−	0.311379i	−0.680780	−	0.732488i	$-0.738359\pi$
$967$	7.03499	−	9.68283i	0.226230	−	0.311379i	0.907010	+	0.421109i	$0.138359\pi$
$968$			17.0930i			0.549391i
$969$	−3.73643	−	2.71468i	−0.120031	−	0.0872080i
$970$	3.65087	+	38.4140i	0.117222	+	1.23340i
$971$	−1.09374	+	0.794651i	−0.0350999	+	0.0255016i	−0.605197	−	0.796076i	$-0.706906\pi$
$971$	−1.09374	+	0.794651i	−0.0350999	+	0.0255016i	0.570097	+	0.821577i	$0.306906\pi$
$972$	0.587785	+	0.809017i	0.0188532	+	0.0259492i
$973$	17.2939	−	5.61913i	0.554417	−	0.180141i
$974$	15.9235			0.510223
$975$	28.9935	−	5.56132i	0.928536	−	0.178105i
$976$	−3.94494			−0.126274
$977$	17.6371	−	5.73065i	0.564262	−	0.183340i	−0.0129761	−	0.999916i	$-0.504131\pi$
$977$	17.6371	−	5.73065i	0.564262	−	0.183340i	0.577238	+	0.816576i	$0.304131\pi$
$978$	5.51764	+	7.59438i	0.176435	+	0.242842i
$979$	−3.14558	+	2.28540i	−0.100533	+	0.0730417i
$980$	7.51232	+	1.67520i	0.239972	+	0.0535122i
$981$	−8.00567	−	5.81646i	−0.255601	−	0.185705i
$982$			6.38076i			0.203618i
$983$	−9.62915	+	13.2534i	−0.307122	+	0.422718i	−0.934481	−	0.356013i	$-0.884136\pi$
$983$	−9.62915	+	13.2534i	−0.307122	+	0.422718i	0.627359	+	0.778730i	$0.284136\pi$
$984$	3.07816	−	9.47359i	0.0981280	−	0.302007i
$985$	−4.95325	+	22.2125i	−0.157824	+	0.707750i
$986$	−0.0825696	−	0.254123i	−0.00262955	−	0.00809293i
$987$	32.3559	+	10.5131i	1.02990	+	0.334635i
$988$	−25.3098	−	8.22365i	−0.805211	−	0.261629i
$989$	3.15909	+	9.72267i	0.100453	+	0.309163i
$990$	10.2044	+	6.02788i	0.324317	+	0.191579i
$991$	6.12790	−	18.8597i	0.194659	−	0.599099i	−0.805321	−	0.592839i	$-0.798007\pi$
$991$	6.12790	−	18.8597i	0.194659	−	0.599099i	0.999980	−	0.00626045i	$-0.00199278\pi$
$992$	1.31784	−	1.81386i	0.0418416	−	0.0575900i
$993$		−	21.6174i		−	0.686007i
$994$	22.3200	+	16.2164i	0.707946	+	0.514353i
$995$	−3.73209	−	4.22890i	−0.118315	−	0.134065i
$996$	−6.05709	+	4.40074i	−0.191926	+	0.139443i
$997$	−6.15262	−	8.46835i	−0.194855	−	0.268195i	0.700398	−	0.713752i	$-0.253006\pi$
$997$	−6.15262	−	8.46835i	−0.194855	−	0.268195i	−0.895254	+	0.445557i	$0.853006\pi$
$998$	−12.2815	+	3.99049i	−0.388763	+	0.126317i
$999$	9.55354			0.302261

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.h.b.19.3	✓	16
3.2	odd	2		450.2.l.c.19.2		16
5.2	odd	4		750.2.g.f.151.4		16
5.3	odd	4		750.2.g.g.151.1		16
5.4	even	2		750.2.h.d.349.2		16
25.2	odd	20		3750.2.a.v.1.7		8
25.3	odd	20		750.2.g.g.601.1		16
25.4	even	10	inner	150.2.h.b.79.3	yes	16
25.11	even	5		3750.2.c.k.1249.2		16
25.14	even	10		3750.2.c.k.1249.15		16
25.21	even	5		750.2.h.d.649.1		16
25.22	odd	20		750.2.g.f.601.4		16
25.23	odd	20		3750.2.a.u.1.2		8
75.29	odd	10		450.2.l.c.379.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.h.b.19.3	✓	16	1.1	even	1	trivial
150.2.h.b.79.3	yes	16	25.4	even	10	inner
450.2.l.c.19.2		16	3.2	odd	2
450.2.l.c.379.2		16	75.29	odd	10
750.2.g.f.151.4		16	5.2	odd	4
750.2.g.f.601.4		16	25.22	odd	20
750.2.g.g.151.1		16	5.3	odd	4
750.2.g.g.601.1		16	25.3	odd	20
750.2.h.d.349.2		16	5.4	even	2
750.2.h.d.649.1		16	25.21	even	5
3750.2.a.u.1.2		8	25.23	odd	20
3750.2.a.v.1.7		8	25.2	odd	20
3750.2.c.k.1249.2		16	25.11	even	5
3750.2.c.k.1249.15		16	25.14	even	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.h (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.951057 - 0.309017i) q^{2} +(-0.587785 - 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.47959 - 1.67655i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.23143i q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.951057 - 0.309017i) q^{2} +(-0.587785 - 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-1.47959 - 1.67655i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.23143i q^{7} +(0.587785 - 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-1.92526 - 1.13727i) q^{10} +(1.63788 + 5.04087i) q^{11} +(-0.951057 - 0.309017i) q^{12} +(5.61543 + 1.82456i) q^{13} +(-0.998566 - 3.07327i) q^{14} +(-0.486675 + 2.18246i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.602300 + 0.828995i) q^{17} +1.00000i q^{18} +(-3.64639 - 2.64926i) q^{19} +(-2.18246 - 0.486675i) q^{20} +(-2.61428 + 1.89939i) q^{21} +(3.11543 + 4.28802i) q^{22} +(-1.83390 + 0.595870i) q^{23} -1.00000 q^{24} +(-0.621629 + 4.96121i) q^{25} +5.90441 q^{26} +(0.951057 - 0.309017i) q^{27} +(-1.89939 - 2.61428i) q^{28} +(-0.210961 + 0.153272i) q^{29} +(0.211563 + 2.22604i) q^{30} +(1.81386 + 1.31784i) q^{31} -1.00000i q^{32} +(3.11543 - 4.28802i) q^{33} +(-0.316648 + 0.974542i) q^{34} +(-5.41765 + 4.78119i) q^{35} +(0.309017 + 0.951057i) q^{36} +(9.08596 + 2.95221i) q^{37} +(-4.28659 - 1.39280i) q^{38} +(-1.82456 - 5.61543i) q^{39} +(-2.22604 + 0.211563i) q^{40} +(-3.07816 + 9.47359i) q^{41} +(-1.89939 + 2.61428i) q^{42} -5.30164i q^{43} +(4.28802 + 3.11543i) q^{44} +(2.05171 - 0.889091i) q^{45} +(-1.56001 + 1.13341i) q^{46} +(-6.18830 - 8.51747i) q^{47} +(-0.951057 + 0.309017i) q^{48} -3.44213 q^{49} +(0.941893 + 4.91048i) q^{50} +1.02469 q^{51} +(5.61543 - 1.82456i) q^{52} +(1.35841 + 1.86970i) q^{53} +(0.809017 - 0.587785i) q^{54} +(6.02788 - 10.2044i) q^{55} +(-2.61428 - 1.89939i) q^{56} +4.50718i q^{57} +(-0.153272 + 0.210961i) q^{58} +(2.00615 - 6.17428i) q^{59} +(0.889091 + 2.05171i) q^{60} +(-1.21905 - 3.75186i) q^{61} +(2.13232 + 0.692831i) q^{62} +(3.07327 + 0.998566i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-5.24956 - 12.1141i) q^{65} +(1.63788 - 5.04087i) q^{66} +(-5.46176 + 7.51747i) q^{67} +1.02469i q^{68} +(1.56001 + 1.13341i) q^{69} +(-3.67502 + 6.22132i) q^{70} +(-6.90715 + 5.01834i) q^{71} +(0.587785 + 0.809017i) q^{72} +(-3.76068 + 1.22192i) q^{73} +9.55354 q^{74} +(4.37909 - 2.41322i) q^{75} -4.50718 q^{76} +(16.2892 - 5.29269i) q^{77} +(-3.47053 - 4.77677i) q^{78} +(-10.8177 + 7.85950i) q^{79} +(-2.05171 + 0.889091i) q^{80} +(-0.809017 - 0.587785i) q^{81} +9.96112i q^{82} +(4.40074 - 6.05709i) q^{83} +(-0.998566 + 3.07327i) q^{84} +(2.28101 - 0.216787i) q^{85} +(-1.63830 - 5.04216i) q^{86} +(0.247999 + 0.0805798i) q^{87} +(5.04087 + 1.63788i) q^{88} +(0.226687 + 0.697671i) q^{89} +(1.67655 - 1.47959i) q^{90} +(5.89595 - 18.1459i) q^{91} +(-1.13341 + 1.56001i) q^{92} -2.24205i q^{93} +(-8.51747 - 6.18830i) q^{94} +(0.953552 + 10.0332i) q^{95} +(-0.809017 + 0.587785i) q^{96} +(-10.1432 - 13.9610i) q^{97} +(-3.27366 + 1.06368i) q^{98} -5.30029 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9}+O(q^{10}) \) 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9	\( 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9} + 2 q^{10} + 2 q^{11} + 20 q^{13} + 2 q^{14} - 2 q^{15} - 4 q^{16} - 30 q^{17} - 4 q^{20} - 2 q^{21} - 20 q^{22} - 10 q^{23} - 16 q^{24} + 24 q^{25} + 4 q^{26} - 10 q^{29} - 6 q^{30} - 18 q^{31} - 20 q^{33} + 12 q^{34} - 34 q^{35} - 4 q^{36} + 20 q^{37} + 10 q^{38} - 4 q^{39} - 2 q^{40} + 22 q^{41} + 8 q^{44} - 4 q^{45} - 6 q^{46} - 50 q^{47} - 52 q^{49} + 12 q^{50} + 28 q^{51} + 20 q^{52} + 30 q^{53} + 4 q^{54} + 18 q^{55} - 2 q^{56} - 30 q^{58} + 20 q^{59} + 2 q^{60} + 12 q^{61} + 50 q^{62} + 10 q^{63} + 4 q^{64} - 8 q^{65} + 2 q^{66} - 50 q^{67} + 6 q^{69} - 12 q^{70} - 28 q^{71} + 20 q^{73} + 12 q^{74} + 28 q^{75} + 20 q^{76} + 100 q^{77} - 20 q^{79} + 4 q^{80} - 4 q^{81} - 30 q^{83} + 2 q^{84} - 4 q^{85} - 6 q^{86} + 10 q^{87} + 70 q^{89} + 8 q^{90} + 12 q^{91} - 30 q^{92} + 2 q^{94} - 30 q^{95} - 4 q^{96} - 10 q^{97} + 60 q^{98} - 12 q^{99}+O(q^{100}) \) 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9 + 2 * q^10 + 2 * q^11 + 20 * q^13 + 2 * q^14 - 2 * q^15 - 4 * q^16 - 30 * q^17 - 4 * q^20 - 2 * q^21 - 20 * q^22 - 10 * q^23 - 16 * q^24 + 24 * q^25 + 4 * q^26 - 10 * q^29 - 6 * q^30 - 18 * q^31 - 20 * q^33 + 12 * q^34 - 34 * q^35 - 4 * q^36 + 20 * q^37 + 10 * q^38 - 4 * q^39 - 2 * q^40 + 22 * q^41 + 8 * q^44 - 4 * q^45 - 6 * q^46 - 50 * q^47 - 52 * q^49 + 12 * q^50 + 28 * q^51 + 20 * q^52 + 30 * q^53 + 4 * q^54 + 18 * q^55 - 2 * q^56 - 30 * q^58 + 20 * q^59 + 2 * q^60 + 12 * q^61 + 50 * q^62 + 10 * q^63 + 4 * q^64 - 8 * q^65 + 2 * q^66 - 50 * q^67 + 6 * q^69 - 12 * q^70 - 28 * q^71 + 20 * q^73 + 12 * q^74 + 28 * q^75 + 20 * q^76 + 100 * q^77 - 20 * q^79 + 4 * q^80 - 4 * q^81 - 30 * q^83 + 2 * q^84 - 4 * q^85 - 6 * q^86 + 10 * q^87 + 70 * q^89 + 8 * q^90 + 12 * q^91 - 30 * q^92 + 2 * q^94 - 30 * q^95 - 4 * q^96 - 10 * q^97 + 60 * q^98 - 12 * q^99

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