LMFDB - Embedded newform 150.2.h.b.19.2

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			19.2
Root			$3.42137 - 0.309017i$ of defining polynomial
Character	$\chi$	$=$	150.19
Dual form			150.2.h.b.79.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.951057 + 0.309017i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.23558 - 0.0466062i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.52206i q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(-0.951057 + 0.309017i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.23558 - 0.0466062i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.52206i q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-2.11176 + 0.735158i) q^{10} +(1.62388 + 4.99779i) q^{11} +(0.951057 + 0.309017i) q^{12} +(-0.588802 - 0.191313i) q^{13} +(1.08838 + 3.34968i) q^{14} +(1.35175 + 1.78123i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.02525 - 2.78752i) q^{17} -1.00000i q^{18} +(1.83995 + 1.33680i) q^{19} +(1.78123 - 1.35175i) q^{20} +(2.84941 - 2.07022i) q^{21} +(-3.08880 - 4.25137i) q^{22} +(-8.51557 + 2.76688i) q^{23} -1.00000 q^{24} +(4.99566 - 0.208384i) q^{25} +0.619103 q^{26} +(-0.951057 + 0.309017i) q^{27} +(-2.07022 - 2.84941i) q^{28} +(-2.16949 + 1.57623i) q^{29} +(-1.83602 - 1.27634i) q^{30} +(-7.90309 - 5.74193i) q^{31} +1.00000i q^{32} +(-3.08880 + 4.25137i) q^{33} +(-1.06474 + 3.27693i) q^{34} +(-0.164150 - 7.87386i) q^{35} +(0.309017 + 0.951057i) q^{36} +(-0.952702 - 0.309552i) q^{37} +(-2.16299 - 0.702799i) q^{38} +(-0.191313 - 0.588802i) q^{39} +(-1.27634 + 1.83602i) q^{40} +(1.94584 - 5.98868i) q^{41} +(-2.07022 + 2.84941i) q^{42} +1.51251i q^{43} +(4.25137 + 3.08880i) q^{44} +(-0.646508 + 2.14057i) q^{45} +(7.24378 - 5.26291i) q^{46} +(-6.27522 - 8.63710i) q^{47} +(0.951057 - 0.309017i) q^{48} -5.40494 q^{49} +(-4.68676 + 1.74193i) q^{50} +3.44557 q^{51} +(-0.588802 + 0.191313i) q^{52} +(0.325260 + 0.447681i) q^{53} +(0.809017 - 0.587785i) q^{54} +(3.86324 + 11.0973i) q^{55} +(2.84941 + 2.07022i) q^{56} +2.27431i q^{57} +(1.57623 - 2.16949i) q^{58} +(-0.0861451 + 0.265127i) q^{59} +(2.14057 + 0.646508i) q^{60} +(1.13786 + 3.50196i) q^{61} +(9.29064 + 3.01871i) q^{62} +(3.34968 + 1.08838i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-1.32523 - 0.400255i) q^{65} +(1.62388 - 4.99779i) q^{66} +(-7.00176 + 9.63710i) q^{67} -3.44557i q^{68} +(-7.24378 - 5.26291i) q^{69} +(2.58927 + 7.43777i) q^{70} +(-3.84168 + 2.79115i) q^{71} +(-0.587785 - 0.809017i) q^{72} +(9.35277 - 3.03890i) q^{73} +1.00173 q^{74} +(3.10496 + 3.91909i) q^{75} +2.27431 q^{76} +(17.6025 - 5.71941i) q^{77} +(0.363900 + 0.500865i) q^{78} +(5.27525 - 3.83269i) q^{79} +(0.646508 - 2.14057i) q^{80} +(-0.809017 - 0.587785i) q^{81} +6.29687i q^{82} +(-1.56335 + 2.15177i) q^{83} +(1.08838 - 3.34968i) q^{84} +(4.39770 - 6.32612i) q^{85} +(-0.467392 - 1.43848i) q^{86} +(-2.55039 - 0.828671i) q^{87} +(-4.99779 - 1.62388i) q^{88} +(4.13649 + 12.7308i) q^{89} +(-0.0466062 - 2.23558i) q^{90} +(-0.673818 + 2.07380i) q^{91} +(-5.26291 + 7.24378i) q^{92} -9.76875i q^{93} +(8.63710 + 6.27522i) q^{94} +(4.17567 + 2.90278i) q^{95} +(-0.809017 + 0.587785i) q^{96} +(-2.56983 - 3.53706i) q^{97} +(5.14040 - 1.67022i) q^{98} -5.25498 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
$5$	2.23558	−	0.0466062i	0.999783	−	0.0208429i
$5$	2.23558	−	0.0466062i	0.999783	−	0.0208429i
$6$	−0.809017	−	0.587785i	−0.330280	−	0.239962i
$7$		−	3.52206i		−	1.33122i	−0.746302	−	0.665608i	$-0.768172\pi$
$7$		−	3.52206i		−	1.33122i	0.746302	−	0.665608i	$-0.231828\pi$
$8$	−0.587785	+	0.809017i	−0.207813	+	0.286031i
$9$	−0.309017	+	0.951057i	−0.103006	+	0.317019i
$10$	−2.11176	+	0.735158i	−0.667798	+	0.232477i
$11$	1.62388	+	4.99779i	0.489618	+	1.50689i	0.825179	+	0.564871i	$0.191074\pi$
$11$	1.62388	+	4.99779i	0.489618	+	1.50689i	−0.335561	+	0.942018i	$0.608926\pi$
$12$	0.951057	+	0.309017i	0.274546	+	0.0892055i
$13$	−0.588802	−	0.191313i	−0.163304	−	0.0530608i	0.226224	−	0.974075i	$-0.427362\pi$
$13$	−0.588802	−	0.191313i	−0.163304	−	0.0530608i	−0.389528	+	0.921015i	$0.627362\pi$
$14$	1.08838	+	3.34968i	0.290881	+	0.895240i
$15$	1.35175	+	1.78123i	0.349020	+	0.459912i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	2.02525	−	2.78752i	0.491196	−	0.676073i	−0.489412	−	0.872053i	$-0.662789\pi$
$17$	2.02525	−	2.78752i	0.491196	−	0.676073i	0.980608	+	0.195979i	$0.0627886\pi$
$18$		−	1.00000i		−	0.235702i
$19$	1.83995	+	1.33680i	0.422114	+	0.306684i	0.778488	−	0.627660i	$-0.215987\pi$
$19$	1.83995	+	1.33680i	0.422114	+	0.306684i	−0.356374	+	0.934343i	$0.615987\pi$
$20$	1.78123	−	1.35175i	0.398295	−	0.302260i
$21$	2.84941	−	2.07022i	0.621792	−	0.451759i
$22$	−3.08880	−	4.25137i	−0.658535	−	0.906395i
$23$	−8.51557	+	2.76688i	−1.77562	+	0.576934i	−0.998618	−	0.0525639i	$-0.983261\pi$
$23$	−8.51557	+	2.76688i	−1.77562	+	0.576934i	−0.777002	+	0.629498i	$0.783261\pi$
$24$	−1.00000			−0.204124
$25$	4.99566	−	0.208384i	0.999131	−	0.0416768i
$26$	0.619103			0.121416
$27$	−0.951057	+	0.309017i	−0.183031	+	0.0594703i
$28$	−2.07022	−	2.84941i	−0.391234	−	0.538488i
$29$	−2.16949	+	1.57623i	−0.402864	+	0.292698i	−0.770706	−	0.637190i	$-0.780096\pi$
$29$	−2.16949	+	1.57623i	−0.402864	+	0.292698i	0.367843	+	0.929888i	$0.380096\pi$
$30$	−1.83602	−	1.27634i	−0.335210	−	0.233026i
$31$	−7.90309	−	5.74193i	−1.41944	−	1.03128i	−0.991864	−	0.127300i	$-0.959369\pi$
$31$	−7.90309	−	5.74193i	−1.41944	−	1.03128i	−0.427572	−	0.903981i	$-0.640631\pi$
$32$			1.00000i			0.176777i
$33$	−3.08880	+	4.25137i	−0.537691	+	0.740069i
$34$	−1.06474	+	3.27693i	−0.182601	+	0.561989i
$35$	−0.164150	−	7.87386i	−0.0277464	−	1.33093i
$36$	0.309017	+	0.951057i	0.0515028	+	0.158509i
$37$	−0.952702	−	0.309552i	−0.156623	−	0.0508900i	0.229656	−	0.973272i	$-0.426240\pi$
$37$	−0.952702	−	0.309552i	−0.156623	−	0.0508900i	−0.386279	+	0.922382i	$0.626240\pi$
$38$	−2.16299	−	0.702799i	−0.350884	−	0.114009i
$39$	−0.191313	−	0.588802i	−0.0306347	−	0.0942838i
$40$	−1.27634	+	1.83602i	−0.201807	+	0.290300i
$41$	1.94584	−	5.98868i	0.303889	−	0.935274i	−0.676200	−	0.736718i	$-0.736375\pi$
$41$	1.94584	−	5.98868i	0.303889	−	0.935274i	0.980089	−	0.198557i	$-0.0636254\pi$
$42$	−2.07022	+	2.84941i	−0.319442	+	0.439674i
$43$			1.51251i			0.230656i	0.993327	+	0.115328i	$0.0367919\pi$
$43$			1.51251i			0.230656i	−0.993327	+	0.115328i	$0.963208\pi$
$44$	4.25137	+	3.08880i	0.640918	+	0.465654i
$45$	−0.646508	+	2.14057i	−0.0963757	+	0.319097i
$46$	7.24378	−	5.26291i	1.06804	−	0.775974i
$47$	−6.27522	−	8.63710i	−0.915335	−	1.25985i	−0.965312	−	0.261100i	$-0.915915\pi$
$47$	−6.27522	−	8.63710i	−0.915335	−	1.25985i	0.0499772	−	0.998750i	$-0.484085\pi$
$48$	0.951057	−	0.309017i	0.137273	−	0.0446028i
$49$	−5.40494			−0.772134
$50$	−4.68676	+	1.74193i	−0.662808	+	0.246346i
$51$	3.44557			0.482476
$52$	−0.588802	+	0.191313i	−0.0816522	+	0.0265304i
$53$	0.325260	+	0.447681i	0.0446778	+	0.0614938i	0.830771	−	0.556614i	$-0.187900\pi$
$53$	0.325260	+	0.447681i	0.0446778	+	0.0614938i	−0.786094	+	0.618107i	$0.787900\pi$
$54$	0.809017	−	0.587785i	0.110093	−	0.0799874i
$55$	3.86324	+	11.0973i	0.520920	+	1.49636i
$56$	2.84941	+	2.07022i	0.380768	+	0.276644i
$57$			2.27431i			0.301239i
$58$	1.57623	−	2.16949i	0.206968	−	0.284868i
$59$	−0.0861451	+	0.265127i	−0.0112151	+	0.0345166i	−0.956507	−	0.291708i	$-0.905777\pi$
$59$	−0.0861451	+	0.265127i	−0.0112151	+	0.0345166i	0.945292	+	0.326224i	$0.105777\pi$
$60$	2.14057	+	0.646508i	0.276346	+	0.0834638i
$61$	1.13786	+	3.50196i	0.145688	+	0.448380i	0.997099	−	0.0761185i	$-0.0242527\pi$
$61$	1.13786	+	3.50196i	0.145688	+	0.448380i	−0.851411	+	0.524499i	$0.824253\pi$
$62$	9.29064	+	3.01871i	1.17991	+	0.383377i
$63$	3.34968	+	1.08838i	0.422020	+	0.137123i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	−1.32523	−	0.400255i	−0.164375	−	0.0496455i
$66$	1.62388	−	4.99779i	0.199886	−	0.615185i
$67$	−7.00176	+	9.63710i	−0.855401	+	1.17736i	0.127245	+	0.991871i	$0.459386\pi$
$67$	−7.00176	+	9.63710i	−0.855401	+	1.17736i	−0.982647	+	0.185487i	$0.940614\pi$
$68$		−	3.44557i		−	0.417836i
$69$	−7.24378	−	5.26291i	−0.872049	−	0.633580i
$70$	2.58927	+	7.43777i	0.309477	+	0.888983i
$71$	−3.84168	+	2.79115i	−0.455924	+	0.331248i	−0.791930	−	0.610612i	$-0.790924\pi$
$71$	−3.84168	+	2.79115i	−0.455924	+	0.331248i	0.336006	+	0.941860i	$0.390924\pi$
$72$	−0.587785	−	0.809017i	−0.0692712	−	0.0953436i
$73$	9.35277	−	3.03890i	1.09466	−	0.355676i	0.294614	−	0.955616i	$-0.404809\pi$
$73$	9.35277	−	3.03890i	1.09466	−	0.355676i	0.800045	+	0.599940i	$0.204809\pi$
$74$	1.00173			0.116449
$75$	3.10496	+	3.91909i	0.358530	+	0.452537i
$76$	2.27431			0.260881
$77$	17.6025	−	5.71941i	2.00599	−	0.651787i
$78$	0.363900	+	0.500865i	0.0412035	+	0.0567118i
$79$	5.27525	−	3.83269i	0.593512	−	0.431212i	−0.250058	−	0.968231i	$-0.580450\pi$
$79$	5.27525	−	3.83269i	0.593512	−	0.431212i	0.843570	+	0.537019i	$0.180450\pi$
$80$	0.646508	−	2.14057i	0.0722818	−	0.239323i
$81$	−0.809017	−	0.587785i	−0.0898908	−	0.0653095i
$82$			6.29687i			0.695373i
$83$	−1.56335	+	2.15177i	−0.171600	+	0.236187i	−0.886151	−	0.463396i	$-0.846631\pi$
$83$	−1.56335	+	2.15177i	−0.171600	+	0.236187i	0.714551	+	0.699583i	$0.246631\pi$
$84$	1.08838	−	3.34968i	0.118752	−	0.365480i
$85$	4.39770	−	6.32612i	0.476998	−	0.686164i
$86$	−0.467392	−	1.43848i	−0.0504002	−	0.155116i
$87$	−2.55039	−	0.828671i	−0.273430	−	0.0888428i
$88$	−4.99779	−	1.62388i	−0.532766	−	0.173106i
$89$	4.13649	+	12.7308i	0.438467	+	1.34946i	0.889491	+	0.456952i	$0.151059\pi$
$89$	4.13649	+	12.7308i	0.438467	+	1.34946i	−0.451024	+	0.892512i	$0.648941\pi$
$90$	−0.0466062	−	2.23558i	−0.00491272	−	0.235651i
$91$	−0.673818	+	2.07380i	−0.0706353	+	0.217393i
$92$	−5.26291	+	7.24378i	−0.548697	+	0.755216i
$93$		−	9.76875i		−	1.01297i
$94$	8.63710	+	6.27522i	0.890848	+	0.647239i
$95$	4.17567	+	2.90278i	0.428414	+	0.297819i
$96$	−0.809017	+	0.587785i	−0.0825700	+	0.0599906i
$97$	−2.56983	−	3.53706i	−0.260926	−	0.359134i	0.658374	−	0.752691i	$-0.271244\pi$
$97$	−2.56983	−	3.53706i	−0.260926	−	0.359134i	−0.919300	+	0.393557i	$0.871244\pi$
$98$	5.14040	−	1.67022i	0.519259	−	0.168717i
$99$	−5.25498			−0.528146
$100$	3.91909	−	3.10496i	0.391909	−	0.310496i
$101$	−14.2687			−1.41979			−0.709893	−	0.704309i	$-0.751257\pi$
$101$	−14.2687			−1.41979			−0.709893	+	0.704309i	$0.751257\pi$
$102$	−3.27693	+	1.06474i	−0.324464	+	0.105425i
$103$	10.3852	+	14.2939i	1.02328	+	1.40842i	0.909879	+	0.414875i	$0.136175\pi$
$103$	10.3852	+	14.2939i	1.02328	+	1.40842i	0.113401	+	0.993549i	$0.463825\pi$
$104$	0.500865	−	0.363900i	0.0491138	−	0.0356833i
$105$	6.27361	−	4.76094i	0.612241	−	0.464620i
$106$	−0.447681	−	0.325260i	−0.0434827	−	0.0315920i
$107$			0.723713i			0.0699640i	0.999388	+	0.0349820i	$0.0111374\pi$
$107$			0.723713i			0.0699640i	−0.999388	+	0.0349820i	$0.988863\pi$
$108$	−0.587785	+	0.809017i	−0.0565597	+	0.0778477i
$109$	0.795198	−	2.44737i	0.0761661	−	0.234415i	−0.905724	−	0.423869i	$-0.860672\pi$
$109$	0.795198	−	2.44737i	0.0761661	−	0.234415i	0.981890	+	0.189454i	$0.0606717\pi$
$110$	−7.10341	−	9.36033i	−0.677284	−	0.892473i
$111$	−0.309552	−	0.952702i	−0.0293813	−	0.0904264i
$112$	−3.34968	−	1.08838i	−0.316515	−	0.102842i
$113$	−14.4448	−	4.69339i	−1.35885	−	0.441517i	−0.463191	−	0.886258i	$-0.653296\pi$
$113$	−14.4448	−	4.69339i	−1.35885	−	0.441517i	−0.895659	+	0.444741i	$0.853296\pi$
$114$	−0.702799	−	2.16299i	−0.0658232	−	0.202583i
$115$	−18.9083	+	6.58246i	−1.76321	+	0.613818i
$116$	−0.828671	+	2.55039i	−0.0769401	+	0.236797i
$117$	0.363900	−	0.500865i	0.0336425	−	0.0463050i
$118$		−	0.278771i		−	0.0256630i
$119$	−9.81783	−	7.13307i	−0.899999	−	0.653888i
$120$	−2.23558	+	0.0466062i	−0.204080	+	0.00425454i
$121$	−13.4417	+	9.76597i	−1.22197	+	0.887815i
$122$	−2.16433	−	2.97895i	−0.195949	−	0.269701i
$123$	5.98868	−	1.94584i	0.539981	−	0.175450i
$124$	−9.76875			−0.877260
$125$	11.1585	−	0.698687i	0.998045	−	0.0624925i
$126$	−3.52206			−0.313770
$127$	4.15027	−	1.34850i	0.368277	−	0.119660i	−0.119031	−	0.992891i	$-0.537979\pi$
$127$	4.15027	−	1.34850i	0.368277	−	0.119660i	0.487308	+	0.873230i	$0.337979\pi$
$128$	0.587785	+	0.809017i	0.0519534	+	0.0715077i
$129$	−1.22365	+	0.889032i	−0.107736	+	0.0782749i
$130$	1.38406	−	0.0288540i	0.121390	−	0.00253066i
$131$	0.499797	+	0.363124i	0.0436675	+	0.0317263i	0.609405	−	0.792859i	$-0.291408\pi$
$131$	0.499797	+	0.363124i	0.0436675	+	0.0317263i	−0.565737	+	0.824585i	$0.691408\pi$
$132$			5.25498i			0.457388i
$133$	4.70831	−	6.48043i	0.408262	−	0.561925i
$134$	3.68104	−	11.3291i	0.317994	−	0.978684i
$135$	−2.11176	+	0.735158i	−0.181752	+	0.0632723i
$136$	1.06474	+	3.27693i	0.0913006	+	0.280994i
$137$	8.81784	+	2.86509i	0.753359	+	0.244781i	0.660426	−	0.750891i	$-0.270376\pi$
$137$	8.81784	+	2.86509i	0.753359	+	0.244781i	0.0929329	+	0.995672i	$0.470376\pi$
$138$	8.51557	+	2.76688i	0.724894	+	0.235532i
$139$	−5.79774	−	17.8436i	−0.491757	−	1.51347i	−0.821950	−	0.569560i	$-0.807114\pi$
$139$	−5.79774	−	17.8436i	−0.491757	−	1.51347i	0.330192	−	0.943914i	$-0.392886\pi$
$140$	−4.76094	−	6.27361i	−0.402373	−	0.530216i
$141$	3.29908	−	10.1535i	0.277832	−	0.855080i
$142$	2.79115	−	3.84168i	0.234228	−	0.322387i
$143$		−	3.25338i		−	0.272061i
$144$	0.809017	+	0.587785i	0.0674181	+	0.0489821i
$145$	−4.77661	+	3.62489i	−0.396676	+	0.301031i
$146$	−7.95594	+	5.78033i	−0.658438	+	0.478383i
$147$	−3.17694	−	4.37269i	−0.262030	−	0.360653i
$148$	−0.952702	+	0.309552i	−0.0783116	+	0.0254450i
$149$	16.8396			1.37955			0.689777	−	0.724022i	$-0.257709\pi$
$149$	16.8396			1.37955			0.689777	+	0.724022i	$0.257709\pi$
$150$	−4.16406	−	2.76779i	−0.339994	−	0.225989i
$151$	16.7932			1.36661			0.683305	−	0.730133i	$-0.260542\pi$
$151$	16.7932			1.36661			0.683305	+	0.730133i	$0.260542\pi$
$152$	−2.16299	+	0.702799i	−0.175442	+	0.0570045i
$153$	2.02525	+	2.78752i	0.163732	+	0.225358i
$154$	−14.9736	+	10.8790i	−1.20661	+	0.876652i
$155$	−17.9356	−	12.4682i	−1.44062	−	1.00147i
$156$	−0.500865	−	0.363900i	−0.0401013	−	0.0291353i
$157$			4.55451i			0.363489i	0.983346	+	0.181745i	$0.0581744\pi$
$157$			4.55451i			0.363489i	−0.983346	+	0.181745i	$0.941826\pi$
$158$	−3.83269	+	5.27525i	−0.304913	+	0.419676i
$159$	−0.170999	+	0.526281i	−0.0135611	+	0.0417368i
$160$	0.0466062	+	2.23558i	0.00368454	+	0.176738i
$161$	9.74512	+	29.9924i	0.768023	+	2.36373i
$162$	0.951057	+	0.309017i	0.0747221	+	0.0242787i
$163$	19.2239	+	6.24624i	1.50574	+	0.489243i	0.941685	−	0.336497i	$-0.109242\pi$
$163$	19.2239	+	6.24624i	1.50574	+	0.489243i	0.564051	+	0.825740i	$0.309242\pi$
$164$	−1.94584	−	5.98868i	−0.151945	−	0.467637i
$165$	−6.70713	+	9.64825i	−0.522149	+	0.751115i
$166$	0.821902	−	2.52955i	0.0637920	−	0.196331i
$167$	−4.22725	+	5.81831i	−0.327114	+	0.450234i	−0.940623	−	0.339454i	$-0.889758\pi$
$167$	−4.22725	+	5.81831i	−0.327114	+	0.450234i	0.613508	+	0.789688i	$0.289758\pi$
$168$			3.52206i			0.271733i
$169$	−10.2071	−	7.41592i	−0.785164	−	0.570455i
$170$	−2.22759	+	7.37547i	−0.170848	+	0.565672i
$171$	−1.83995	+	1.33680i	−0.140705	+	0.102228i
$172$	0.889032	+	1.22365i	0.0677881	+	0.0933023i
$173$	5.83145	−	1.89475i	0.443357	−	0.144055i	−0.0788271	−	0.996888i	$-0.525117\pi$
$173$	5.83145	−	1.89475i	0.443357	−	0.144055i	0.522184	+	0.852833i	$0.325117\pi$
$174$	2.68163			0.203294
$175$	−0.733941	−	17.5950i	−0.0554807	−	1.33006i
$176$	5.25498			0.396109
$177$	−0.265127	+	0.0861451i	−0.0199282	+	0.00647506i
$178$	−7.86808	−	10.8295i	−0.589737	−	0.811704i
$179$	11.5930	−	8.42280i	0.866501	−	0.629549i	−0.0631451	−	0.998004i	$-0.520113\pi$
$179$	11.5930	−	8.42280i	0.866501	−	0.629549i	0.929646	+	0.368455i	$0.120113\pi$
$180$	0.735158	+	2.11176i	0.0547954	+	0.157402i
$181$	−12.7254	−	9.24554i	−0.945871	−	0.687215i	0.00395575	−	0.999992i	$-0.498741\pi$
$181$	−12.7254	−	9.24554i	−0.945871	−	0.687215i	−0.949827	+	0.312777i	$0.898741\pi$
$182$		−	2.18052i		−	0.161631i
$183$	−2.16433	+	2.97895i	−0.159992	+	0.220210i
$184$	2.76688	−	8.51557i	0.203977	−	0.627776i
$185$	−2.14427	−	0.647626i	−0.157650	−	0.0476144i
$186$	3.01871	+	9.29064i	0.221343	+	0.681223i
$187$	17.2202	+	5.59518i	1.25927	+	0.409160i
$188$	−10.1535	−	3.29908i	−0.740521	−	0.240610i
$189$	1.08838	+	3.34968i	0.0791678	+	0.243654i
$190$	−4.86830	−	1.47036i	−0.353184	−	0.106671i
$191$	−1.11938	+	3.44511i	−0.0809958	+	0.249279i	−0.983352	−	0.181712i	$-0.941836\pi$
$191$	−1.11938	+	3.44511i	−0.0809958	+	0.249279i	0.902356	+	0.430992i	$0.141836\pi$
$192$	0.587785	−	0.809017i	0.0424197	−	0.0583858i
$193$			9.72486i			0.700010i	0.936748	+	0.350005i	$0.113820\pi$
$193$			9.72486i			0.700010i	−0.936748	+	0.350005i	$0.886180\pi$
$194$	3.53706	+	2.56983i	0.253946	+	0.184503i
$195$	−0.455139	−	1.30740i	−0.0325932	−	0.0936248i
$196$	−4.37269	+	3.17694i	−0.312335	+	0.226925i
$197$	4.15786	+	5.72280i	0.296235	+	0.407732i	0.931027	−	0.364951i	$-0.118914\pi$
$197$	4.15786	+	5.72280i	0.296235	+	0.407732i	−0.634792	+	0.772683i	$0.718914\pi$
$198$	4.99779	−	1.62388i	0.355177	−	0.115404i
$199$	17.6745			1.25291			0.626455	−	0.779457i	$-0.284505\pi$
$199$	17.6745			1.25291			0.626455	+	0.779457i	$0.284505\pi$
$200$	−2.76779	+	4.16406i	−0.195712	+	0.294443i
$201$	−11.9121			−0.840215
$202$	13.5703	−	4.40926i	0.954804	−	0.310235i
$203$	5.55157	+	7.64108i	0.389644	+	0.536298i
$204$	2.78752	−	2.02525i	0.195166	−	0.141796i
$205$	4.07098	−	13.4789i	0.284329	−	0.941405i
$206$	−14.2939	−	10.3852i	−0.995906	−	0.723568i
$207$		−	8.95380i		−	0.622332i
$208$	−0.363900	+	0.500865i	−0.0252319	+	0.0347287i
$209$	−3.69320	+	11.3665i	−0.255464	+	0.786237i
$210$	−4.49534	+	6.46658i	−0.310208	+	0.446236i
$211$	−3.63522	−	11.1881i	−0.250259	−	0.770218i	−0.994727	−	0.102559i	$-0.967297\pi$
$211$	−3.63522	−	11.1881i	−0.250259	−	0.770218i	0.744468	−	0.667658i	$-0.232703\pi$
$212$	0.526281	+	0.170999i	0.0361451	+	0.0117443i
$213$	−4.51617	−	1.46739i	−0.309443	−	0.100544i
$214$	−0.223640	−	0.688292i	−0.0152877	−	0.0470507i
$215$	0.0704924	+	3.38135i	0.00480754	+	0.230606i
$216$	0.309017	−	0.951057i	0.0210259	−	0.0647112i
$217$	−20.2234	+	27.8352i	−1.37286	+	1.88958i
$218$			2.57331i			0.174287i
$219$	7.95594	+	5.78033i	0.537613	+	0.390598i
$220$	9.64825	+	6.70713i	0.650485	+	0.452195i
$221$	−1.72576	+	1.25384i	−0.116087	+	0.0843424i
$222$	0.588802	+	0.810416i	0.0395178	+	0.0543916i
$223$	−12.0789	+	3.92466i	−0.808860	+	0.262815i	−0.684115	−	0.729374i	$-0.739811\pi$
$223$	−12.0789	+	3.92466i	−0.808860	+	0.262815i	−0.124745	+	0.992189i	$0.539811\pi$
$224$	3.52206			0.235328
$225$	−1.34556	+	4.81555i	−0.0897038	+	0.321036i
$226$	15.1881			1.01030
$227$	13.5679	−	4.40848i	0.900533	−	0.292601i	0.178076	−	0.984017i	$-0.443013\pi$
$227$	13.5679	−	4.40848i	0.900533	−	0.292601i	0.722457	+	0.691416i	$0.243013\pi$
$228$	1.33680	+	1.83995i	0.0885320	+	0.121854i
$229$	7.12184	−	5.17432i	0.470625	−	0.341929i	−0.327060	−	0.945004i	$-0.606058\pi$
$229$	7.12184	−	5.17432i	0.470625	−	0.341929i	0.797685	+	0.603075i	$0.206058\pi$
$230$	15.9488	−	12.1033i	1.05163	−	0.798067i
$231$	14.9736	+	10.8790i	0.985191	+	0.715783i
$232$		−	2.68163i		−	0.176058i
$233$	8.86158	−	12.1969i	0.580542	−	0.799047i	−0.413213	−	0.910634i	$-0.635594\pi$
$233$	8.86158	−	12.1969i	0.580542	−	0.799047i	0.993755	+	0.111587i	$0.0355935\pi$
$234$	−0.191313	+	0.588802i	−0.0125065	+	0.0384912i
$235$	−14.4313	−	19.0165i	−0.941395	−	1.24050i
$236$	0.0861451	+	0.265127i	0.00560757	+	0.0172583i
$237$	6.20143	+	2.01497i	0.402826	+	0.130886i
$238$	11.5416	+	3.75008i	0.748128	+	0.243081i
$239$	1.93007	+	5.94013i	0.124846	+	0.384235i	0.993873	−	0.110529i	$-0.0352545\pi$
$239$	1.93007	+	5.94013i	0.124846	+	0.384235i	−0.869027	+	0.494764i	$0.835254\pi$
$240$	2.11176	−	0.735158i	0.136314	−	0.0474542i
$241$	−4.57636	+	14.0846i	−0.294790	+	0.907269i	0.688503	+	0.725234i	$0.258268\pi$
$241$	−4.57636	+	14.0846i	−0.294790	+	0.907269i	−0.983292	+	0.182035i	$0.941732\pi$
$242$	9.76597	−	13.4417i	0.627780	−	0.864065i
$243$		−	1.00000i		−	0.0641500i
$244$	2.97895	+	2.16433i	0.190708	+	0.138557i
$245$	−12.0832	+	0.251903i	−0.771966	+	0.0160935i
$246$	−5.09427	+	3.70121i	−0.324799	+	0.235980i
$247$	−0.827619	−	1.13912i	−0.0526601	−	0.0724805i
$248$	9.29064	−	3.01871i	0.589956	−	0.191688i
$249$	−2.65973			−0.168554
$250$	−10.3964	+	4.11265i	−0.657529	+	0.260107i
$251$	18.2744			1.15347			0.576735	−	0.816931i	$-0.304327\pi$
$251$	18.2744			1.15347			0.576735	+	0.816931i	$0.304327\pi$
$252$	3.34968	−	1.08838i	0.211010	−	0.0685614i
$253$	−27.6565	−	38.0659i	−1.73875	−	2.39319i
$254$	−3.53043	+	2.56501i	−0.221519	+	0.160943i
$255$	7.70285	−	0.160585i	0.482371	−	0.0100562i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$		−	1.80149i		−	0.112374i	−0.998420	−	0.0561868i	$-0.982106\pi$
$257$		−	1.80149i		−	0.112374i	0.998420	−	0.0561868i	$-0.0178942\pi$
$258$	0.889032	−	1.22365i	0.0553487	−	0.0761810i
$259$	−1.09026	+	3.35548i	−0.0677455	+	0.208499i
$260$	−1.30740	+	0.455139i	−0.0810814	+	0.0282265i
$261$	−0.828671	−	2.55039i	−0.0512934	−	0.157865i
$262$	−0.587547	−	0.190905i	−0.0362987	−	0.0117942i
$263$	−13.5087	−	4.38923i	−0.832981	−	0.270652i	−0.138680	−	0.990337i	$-0.544286\pi$
$263$	−13.5087	−	4.38923i	−0.832981	−	0.270652i	−0.694300	+	0.719685i	$0.744286\pi$
$264$	−1.62388	−	4.99779i	−0.0999429	−	0.307593i
$265$	0.748009	+	0.985670i	0.0459498	+	0.0605492i
$266$	−2.47530	+	7.61820i	−0.151771	+	0.467102i
$267$	−7.86808	+	10.8295i	−0.481518	+	0.662753i
$268$			11.9121i			0.727648i
$269$	−5.05075	−	3.66959i	−0.307950	−	0.223739i	0.423066	−	0.906099i	$-0.360954\pi$
$269$	−5.05075	−	3.66959i	−0.307950	−	0.223739i	−0.731016	+	0.682360i	$0.760954\pi$
$270$	1.78123	−	1.35175i	0.108402	−	0.0822647i
$271$	19.2926	−	14.0169i	1.17194	−	0.851464i	0.180700	−	0.983538i	$-0.442164\pi$
$271$	19.2926	−	14.0169i	1.17194	−	0.851464i	0.991240	+	0.132074i	$0.0421637\pi$
$272$	−2.02525	−	2.78752i	−0.122799	−	0.169018i
$273$	−2.07380	+	0.673818i	−0.125512	+	0.0407813i
$274$	−9.27162			−0.560119
$275$	9.15380	+	24.6288i	0.551995	+	1.48517i
$276$	−8.95380			−0.538956
$277$	6.63226	−	2.15495i	0.398494	−	0.129478i	−0.102913	−	0.994690i	$-0.532816\pi$
$277$	6.63226	−	2.15495i	0.398494	−	0.129478i	0.501406	+	0.865212i	$0.332816\pi$
$278$	11.0279	+	15.1787i	0.661412	+	0.910356i
$279$	7.90309	−	5.74193i	0.473146	−	0.343760i
$280$	6.46658	+	4.49534i	0.386452	+	0.268648i
$281$	−9.41192	−	6.83816i	−0.561468	−	0.407931i	0.270528	−	0.962712i	$-0.412802\pi$
$281$	−9.41192	−	6.83816i	−0.561468	−	0.407931i	−0.831996	+	0.554782i	$0.812802\pi$
$282$			10.6760i			0.635749i
$283$	−5.64568	+	7.77061i	−0.335601	+	0.461915i	−0.943150	−	0.332367i	$-0.892153\pi$
$283$	−5.64568	+	7.77061i	−0.335601	+	0.461915i	0.607549	+	0.794282i	$0.292153\pi$
$284$	−1.46739	+	4.51617i	−0.0870737	+	0.267985i
$285$	0.105997	+	5.08440i	0.00627870	+	0.301174i
$286$	1.00535	+	3.09415i	0.0594475	+	0.182961i
$287$	−21.0925	−	6.85337i	−1.24505	−	0.404542i
$288$	−0.951057	−	0.309017i	−0.0560415	−	0.0182090i
$289$	1.58466	+	4.87709i	0.0932154	+	0.286888i
$290$	3.42267	−	4.92353i	0.200986	−	0.289120i
$291$	1.35104	−	4.15806i	0.0791992	−	0.243750i
$292$	5.78033	−	7.95594i	0.338268	−	0.465586i
$293$			8.52716i			0.498162i	0.968483	+	0.249081i	$0.0801286\pi$
$293$			8.52716i			0.498162i	−0.968483	+	0.249081i	$0.919871\pi$
$294$	4.37269	+	3.17694i	0.255020	+	0.185283i
$295$	−0.180228	+	0.596729i	−0.0104933	+	0.0347429i
$296$	0.810416	−	0.588802i	0.0471045	−	0.0342234i
$297$	−3.08880	−	4.25137i	−0.179230	−	0.246690i
$298$	−16.0154	+	5.20372i	−0.927748	+	0.301444i
$299$	5.54333			0.320579
$300$	4.81555	+	1.34556i	0.278026	+	0.0776858i
$301$	5.32717			0.307053
$302$	−15.9713	+	5.18938i	−0.919043	+	0.298615i
$303$	−8.38692	−	11.5436i	−0.481816	−	0.663163i
$304$	1.83995	−	1.33680i	0.105528	−	0.0766709i
$305$	2.70698	+	7.77589i	0.155001	+	0.445246i
$306$	−2.78752	−	2.02525i	−0.159352	−	0.115776i
$307$		−	2.85794i		−	0.163111i	−0.996669	−	0.0815557i	$-0.974011\pi$
$307$		−	2.85794i		−	0.163111i	0.996669	−	0.0815557i	$-0.0259889\pi$
$308$	10.8790	−	14.9736i	0.619886	−	0.853200i
$309$	−5.45980	+	16.8035i	−0.310597	+	0.955920i
$310$	20.9107	+	6.31558i	1.18765	+	0.358701i
$311$	−3.14017	−	9.66444i	−0.178063	−	0.548020i	0.821697	−	0.569924i	$-0.193027\pi$
$311$	−3.14017	−	9.66444i	−0.178063	−	0.548020i	−0.999760	+	0.0219035i	$0.993027\pi$
$312$	0.588802	+	0.191313i	0.0333344	+	0.0108310i
$313$	17.3127	+	5.62523i	0.978570	+	0.317957i	0.754271	−	0.656564i	$-0.227991\pi$
$313$	17.3127	+	5.62523i	0.978570	+	0.317957i	0.224299	+	0.974520i	$0.427991\pi$
$314$	−1.40742	−	4.33159i	−0.0794253	−	0.244446i
$315$	7.53922	+	2.27704i	0.424787	+	0.128297i
$316$	2.01497	−	6.20143i	0.113351	−	0.348857i
$317$	−18.3838	+	25.3031i	−1.03254	+	1.42116i	−0.129510	+	0.991578i	$0.541340\pi$
$317$	−18.3838	+	25.3031i	−1.03254	+	1.42116i	−0.903026	+	0.429586i	$0.858660\pi$
$318$		−	0.553365i		−	0.0310312i
$319$	−11.4006	−	8.28304i	−0.638312	−	0.463761i
$320$	−0.735158	−	2.11176i	−0.0410966	−	0.118051i
$321$	−0.585496	+	0.425388i	−0.0326792	+	0.0237428i
$322$	−18.5363	−	25.5131i	−1.03299	−	1.42179i
$323$	7.45274	−	2.42154i	0.414681	−	0.134738i
$324$	−1.00000			−0.0555556
$325$	−2.98132	−	0.833039i	−0.165374	−	0.0462087i
$326$	−20.2133			−1.11951
$327$	2.44737	−	0.795198i	0.135340	−	0.0439745i
$328$	3.70121	+	5.09427i	0.204365	+	0.281284i
$329$	−30.4204	+	22.1017i	−1.67713	+	1.21851i
$330$	3.39739	−	11.2486i	0.187020	−	0.619218i
$331$	−2.77650	−	2.01724i	−0.152610	−	0.110878i	0.508860	−	0.860849i	$-0.330067\pi$
$331$	−2.77650	−	2.01724i	−0.152610	−	0.110878i	−0.661470	+	0.749972i	$0.730067\pi$
$332$			2.65973i			0.145972i
$333$	0.588802	−	0.810416i	0.0322662	−	0.0444106i
$334$	2.22240	−	6.83983i	0.121604	−	0.374259i
$335$	−15.2039	+	21.8708i	−0.830676	+	1.19493i
$336$	−1.08838	−	3.34968i	−0.0593759	−	0.182740i
$337$	−11.1497	−	3.62277i	−0.607365	−	0.197345i	−0.0108427	−	0.999941i	$-0.503451\pi$
$337$	−11.1497	−	3.62277i	−0.607365	−	0.197345i	−0.596523	+	0.802596i	$0.703451\pi$
$338$	11.9992	+	3.89878i	0.652671	+	0.212066i
$339$	−4.69339	−	14.4448i	−0.254910	−	0.784533i
$340$	−0.160585	−	7.70285i	−0.00870892	−	0.417746i
$341$	15.8633	−	48.8221i	0.859045	−	2.64387i
$342$	1.33680	−	1.83995i	0.0722861	−	0.0994932i
$343$		−	5.61791i		−	0.303339i
$344$	−1.22365	−	0.889032i	−0.0659747	−	0.0479334i
$345$	−16.4393	−	11.4281i	−0.885065	−	0.615267i
$346$	−4.96053	+	3.60403i	−0.266680	+	0.193754i
$347$	−19.0502	−	26.2204i	−1.02267	−	1.40758i	−0.910315	−	0.413916i	$-0.864161\pi$
$347$	−19.0502	−	26.2204i	−1.02267	−	1.40758i	−0.112355	−	0.993668i	$-0.535839\pi$
$348$	−2.55039	+	0.828671i	−0.136715	+	0.0444214i
$349$	11.3708			0.608665			0.304333	−	0.952566i	$-0.401567\pi$
$349$	11.3708			0.608665			0.304333	+	0.952566i	$0.401567\pi$
$350$	6.13518	+	16.5071i	0.327939	+	0.882339i
$351$	0.619103			0.0330453
$352$	−4.99779	+	1.62388i	−0.266383	+	0.0865531i
$353$	1.22685	+	1.68861i	0.0652984	+	0.0898756i	0.840417	−	0.541940i	$-0.182310\pi$
$353$	1.22685	+	1.68861i	0.0652984	+	0.0898756i	−0.775119	+	0.631816i	$0.782310\pi$
$354$	0.225531	−	0.163858i	0.0119868	−	0.00870894i
$355$	−8.45831	+	6.41888i	−0.448921	+	0.340679i
$356$	10.8295	+	7.86808i	0.573961	+	0.417007i
$357$		−	12.1355i		−	0.642279i
$358$	−8.42280	+	11.5930i	−0.445159	+	0.612708i
$359$	−2.10507	+	6.47874i	−0.111101	+	0.341935i	−0.991114	−	0.133015i	$-0.957534\pi$
$359$	−2.10507	+	6.47874i	−0.111101	+	0.341935i	0.880013	+	0.474950i	$0.157534\pi$
$360$	−1.35175	−	1.78123i	−0.0712433	−	0.0938790i
$361$	−4.27294	−	13.1508i	−0.224892	−	0.692146i
$362$	14.9596	+	4.86067i	0.786259	+	0.255471i
$363$	−15.8017	−	5.13427i	−0.829372	−	0.269479i
$364$	0.673818	+	2.07380i	0.0353177	+	0.108697i
$365$	20.7673	−	7.22961i	1.08701	−	0.378415i
$366$	1.13786	−	3.50196i	0.0594767	−	0.183050i
$367$	−0.0913045	+	0.125670i	−0.00476606	+	0.00655991i	−0.811393	−	0.584500i	$-0.801291\pi$
$367$	−0.0913045	+	0.125670i	−0.00476606	+	0.00655991i	0.806627	+	0.591060i	$0.201291\pi$
$368$			8.95380i			0.466749i
$369$	5.09427	+	3.70121i	0.265197	+	0.192677i
$370$	2.23945	−	0.0466868i	0.116423	−	0.00242713i
$371$	1.57676	−	1.14559i	0.0818615	−	0.0594758i
$372$	−5.74193	−	7.90309i	−0.297705	−	0.409756i
$373$	−28.2902	+	9.19203i	−1.46481	+	0.475945i	−0.929535	−	0.368733i	$-0.879792\pi$
$373$	−28.2902	+	9.19203i	−1.46481	+	0.475945i	−0.535274	+	0.844679i	$0.679792\pi$
$374$	−18.1064			−0.936259
$375$	7.12404	+	8.61673i	0.367884	+	0.444966i
$376$	10.6760			0.550575
$377$	1.57895	−	0.513032i	0.0813201	−	0.0264225i
$378$	−2.07022	−	2.84941i	−0.106481	−	0.146558i
$379$	−13.4962	+	9.80558i	−0.693254	+	0.503679i	−0.877728	−	0.479159i	$-0.840942\pi$
$379$	−13.4962	+	9.80558i	−0.693254	+	0.503679i	0.184474	+	0.982837i	$0.440942\pi$
$380$	5.08440	−	0.105997i	0.260824	−	0.00543751i
$381$	3.53043	+	2.56501i	0.180869	+	0.131409i
$382$		−	3.62240i		−	0.185338i
$383$	6.62972	−	9.12503i	0.338763	−	0.466267i	−0.605317	−	0.795985i	$-0.706954\pi$
$383$	6.62972	−	9.12503i	0.338763	−	0.466267i	0.944080	+	0.329718i	$0.106954\pi$
$384$	−0.309017	+	0.951057i	−0.0157695	+	0.0485334i
$385$	39.0853	−	13.6066i	1.99197	−	0.693456i
$386$	−3.00515	−	9.24889i	−0.152958	−	0.470756i
$387$	−1.43848	−	0.467392i	−0.0731223	−	0.0237589i
$388$	−4.15806	−	1.35104i	−0.211094	−	0.0685885i
$389$	−2.05849	−	6.33537i	−0.104369	−	0.321216i	0.885213	−	0.465187i	$-0.154013\pi$
$389$	−2.05849	−	6.33537i	−0.104369	−	0.321216i	−0.989582	+	0.143971i	$0.954013\pi$
$390$	0.836871	+	1.10276i	0.0423766	+	0.0558407i
$391$	−9.53346	+	29.3410i	−0.482128	+	1.48384i
$392$	3.17694	−	4.37269i	0.160460	−	0.220854i
$393$			0.617783i			0.0311630i
$394$	−5.72280	−	4.15786i	−0.288310	−	0.209470i
$395$	11.6146	−	8.81416i	0.584395	−	0.443488i
$396$	−4.25137	+	3.08880i	−0.213639	+	0.155218i
$397$	21.8794	+	30.1144i	1.09810	+	1.51140i	0.837884	+	0.545849i	$0.183793\pi$
$397$	21.8794	+	30.1144i	1.09810	+	1.51140i	0.260213	+	0.965551i	$0.416207\pi$
$398$	−16.8094	+	5.46171i	−0.842580	+	0.273771i
$399$	8.01025			0.401014
$400$	1.34556	−	4.81555i	0.0672779	−	0.240777i
$401$	19.6891			0.983228			0.491614	−	0.870813i	$-0.336407\pi$
$401$	19.6891			0.983228			0.491614	+	0.870813i	$0.336407\pi$
$402$	11.3291	−	3.68104i	0.565043	−	0.183594i
$403$	3.55485	+	4.89283i	0.177080	+	0.243729i
$404$	−11.5436	+	8.38692i	−0.574316	+	0.417265i
$405$	−1.83602	−	1.27634i	−0.0912325	−	0.0634217i
$406$	−7.64108	−	5.55157i	−0.379220	−	0.275520i
$407$		−	5.26407i		−	0.260930i
$408$	−2.02525	+	2.78752i	−0.100265	+	0.138003i
$409$	−9.13460	+	28.1134i	−0.451677	+	1.39012i	0.423316	+	0.905982i	$0.360866\pi$
$409$	−9.13460	+	28.1134i	−0.451677	+	1.39012i	−0.874993	+	0.484136i	$0.839134\pi$
$410$	0.293473	+	14.0772i	0.0144936	+	0.695222i
$411$	2.86509	+	8.81784i	0.141324	+	0.434952i
$412$	16.8035	+	5.45980i	0.827851	+	0.268985i
$413$	0.933796	+	0.303409i	0.0459491	+	0.0149298i
$414$	2.76688	+	8.51557i	0.135985	+	0.418518i
$415$	−3.39471	+	4.88331i	−0.166640	+	0.239712i
$416$	0.191313	−	0.588802i	0.00937991	−	0.0288684i
$417$	11.0279	−	15.1787i	0.540041	−	0.743303i
$418$		−	11.9514i		−	0.584564i
$419$	−0.946768	−	0.687867i	−0.0462526	−	0.0336045i	0.564419	−	0.825489i	$-0.309100\pi$
$419$	−0.946768	−	0.687867i	−0.0462526	−	0.0336045i	−0.610671	+	0.791884i	$0.709100\pi$
$420$	2.27704	−	7.53922i	0.111108	−	0.367876i
$421$	−6.73922	+	4.89633i	−0.328449	+	0.238632i	−0.739772	−	0.672857i	$-0.765067\pi$
$421$	−6.73922	+	4.89633i	−0.328449	+	0.238632i	0.411323	+	0.911490i	$0.365067\pi$
$422$	6.91460	+	9.51713i	0.336597	+	0.463287i
$423$	10.1535	−	3.29908i	0.493681	−	0.160407i
$424$	−0.553365			−0.0268738
$425$	9.53659	−	14.3475i	0.462593	−	0.695957i
$426$	4.74858			0.230069
$427$	12.3341	−	4.00760i	0.596891	−	0.193942i
$428$	0.425388	+	0.585496i	0.0205619	+	0.0283010i
$429$	2.63204	−	1.91229i	0.127076	−	0.0923261i
$430$	−1.11194	−	3.19407i	−0.0536223	−	0.154032i
$431$	15.1227	+	10.9873i	0.728435	+	0.529239i	0.889068	−	0.457775i	$-0.151354\pi$
$431$	15.1227	+	10.9873i	0.728435	+	0.529239i	−0.160633	+	0.987014i	$0.551354\pi$
$432$			1.00000i			0.0481125i
$433$	11.1140	−	15.2972i	0.534107	−	0.735135i	−0.453643	−	0.891184i	$-0.649876\pi$
$433$	11.1140	−	15.2972i	0.534107	−	0.735135i	0.987749	+	0.156049i	$0.0498758\pi$
$434$	10.6321	−	32.7222i	0.510357	−	1.57072i
$435$	−5.74022	−	1.73370i	−0.275222	−	0.0831244i
$436$	−0.795198	−	2.44737i	−0.0380831	−	0.117208i
$437$	−19.3670	−	6.29273i	−0.926450	−	0.301022i
$438$	−9.35277	−	3.03890i	−0.446893	−	0.145204i
$439$	12.6264	+	38.8602i	0.602627	+	1.85469i	0.512348	+	0.858778i	$0.328776\pi$
$439$	12.6264	+	38.8602i	0.602627	+	1.85469i	0.0902783	+	0.995917i	$0.471224\pi$
$440$	−11.2486	−	3.39739i	−0.536258	−	0.161964i
$441$	1.67022	−	5.14040i	0.0795342	−	0.244781i
$442$	1.25384	−	1.72576i	0.0596391	−	0.0820862i
$443$		−	5.99083i		−	0.284633i	−0.989821	−	0.142317i	$-0.954545\pi$
$443$		−	5.99083i		−	0.284633i	0.989821	−	0.142317i	$-0.0454551\pi$
$444$	−0.810416	−	0.588802i	−0.0384607	−	0.0279433i
$445$	9.84080	+	28.2680i	0.466499	+	1.34003i
$446$	10.2749	−	7.46514i	0.486530	−	0.353485i
$447$	9.89807	+	13.6235i	0.468163	+	0.644371i
$448$	−3.34968	+	1.08838i	−0.158258	+	0.0514210i
$449$	−12.4505			−0.587574			−0.293787	−	0.955871i	$-0.594916\pi$
$449$	−12.4505			−0.587574			−0.293787	+	0.955871i	$0.594916\pi$
$450$	−0.208384	−	4.99566i	−0.00982331	−	0.235497i
$451$	33.0899			1.55814
$452$	−14.4448	+	4.69339i	−0.679425	+	0.220759i
$453$	9.87079	+	13.5860i	0.463770	+	0.638325i
$454$	−11.5415	+	8.38543i	−0.541672	+	0.393548i
$455$	−1.40972	+	4.66755i	−0.0660889	+	0.218818i
$456$	−1.83995	−	1.33680i	−0.0861637	−	0.0626016i
$457$			1.11807i			0.0523011i	0.999658	+	0.0261506i	$0.00832493\pi$
$457$			1.11807i			0.0523011i	−0.999658	+	0.0261506i	$0.991675\pi$
$458$	−5.17432	+	7.12184i	−0.241780	+	0.332782i
$459$	−1.06474	+	3.27693i	−0.0496977	+	0.152954i
$460$	−11.4281	+	16.4393i	−0.532837	+	0.766489i
$461$	−9.29974	−	28.6216i	−0.433132	−	1.33304i	−0.894989	−	0.446089i	$-0.852817\pi$
$461$	−9.29974	−	28.6216i	−0.433132	−	1.33304i	0.461857	−	0.886954i	$-0.347183\pi$
$462$	−17.6025	−	5.71941i	−0.818944	−	0.266091i
$463$	20.0062	+	6.50042i	0.929768	+	0.302100i	0.734468	−	0.678644i	$-0.237432\pi$
$463$	20.0062	+	6.50042i	0.929768	+	0.302100i	0.195300	+	0.980743i	$0.437432\pi$
$464$	0.828671	+	2.55039i	0.0384701	+	0.118399i
$465$	−0.455284	−	21.8389i	−0.0211133	−	1.01275i
$466$	−4.65881	+	14.3383i	−0.215815	+	0.664211i
$467$	−2.07849	+	2.86080i	−0.0961812	+	0.132382i	−0.854395	−	0.519624i	$-0.826072\pi$
$467$	−2.07849	+	2.86080i	−0.0961812	+	0.132382i	0.758214	+	0.652006i	$0.226072\pi$
$468$		−	0.619103i		−	0.0286181i
$469$	33.9425	+	24.6607i	1.56732	+	1.13872i
$470$	19.6014	+	13.6262i	0.904145	+	0.628531i
$471$	−3.68467	+	2.67707i	−0.169781	+	0.123353i
$472$	−0.163858	−	0.225531i	−0.00754216	−	0.0103809i
$473$	−7.55921	+	2.45614i	−0.347573	+	0.112933i
$474$	−6.52057			−0.299499
$475$	9.47034	+	6.29479i	0.434529	+	0.288825i
$476$	−12.1355			−0.556230
$477$	−0.526281	+	0.170999i	−0.0240968	+	0.00782951i
$478$	−3.67120	−	5.05298i	−0.167917	−	0.231118i
$479$	32.7132	−	23.7675i	1.49470	−	1.08597i	0.522272	−	0.852779i	$-0.325085\pi$
$479$	32.7132	−	23.7675i	1.49470	−	1.08597i	0.972432	−	0.233187i	$-0.0749153\pi$
$480$	−1.78123	+	1.35175i	−0.0813016	+	0.0616985i
$481$	0.501731	+	0.364529i	0.0228770	+	0.0166211i
$482$		−	14.8094i		−	0.674551i
$483$	−18.5363	+	25.5131i	−0.843432	+	1.16088i
$484$	−5.13427	+	15.8017i	−0.233376	+	0.718258i
$485$	−5.90990	−	7.78762i	−0.268355	−	0.353618i
$486$	0.309017	+	0.951057i	0.0140173	+	0.0431408i
$487$	−25.3973	−	8.25208i	−1.15086	−	0.373938i	−0.329394	−	0.944193i	$-0.606844\pi$
$487$	−25.3973	−	8.25208i	−1.15086	−	0.373938i	−0.821468	+	0.570255i	$0.806844\pi$
$488$	−3.50196	−	1.13786i	−0.158526	−	0.0515083i
$489$	6.24624	+	19.2239i	0.282465	+	0.869337i
$490$	11.4139	−	3.97348i	0.515630	−	0.179504i
$491$	10.2314	−	31.4891i	0.461738	−	1.42108i	−0.401302	−	0.915946i	$-0.631442\pi$
$491$	10.2314	−	31.4891i	0.461738	−	1.42108i	0.863040	−	0.505136i	$-0.168558\pi$
$492$	3.70121	−	5.09427i	0.166863	−	0.229668i
$493$			9.23975i			0.416137i
$494$	1.13912	+	0.827619i	0.0512514	+	0.0372363i
$495$	−11.7479	+	0.244915i	−0.528031	+	0.0110081i
$496$	−7.90309	+	5.74193i	−0.354859	+	0.257820i
$497$	9.83059	+	13.5307i	0.440962	+	0.606933i
$498$	2.52955	−	0.821902i	0.113352	−	0.0368303i
$499$	−6.01303			−0.269180			−0.134590	−	0.990901i	$-0.542972\pi$
$499$	−6.01303			−0.269180			−0.134590	+	0.990901i	$0.542972\pi$
$500$	8.61673	−	7.12404i	0.385352	−	0.318597i
$501$	−7.19183			−0.321307
$502$	−17.3800	+	5.64710i	−0.775707	+	0.252042i
$503$	3.91890	+	5.39391i	0.174735	+	0.240502i	0.887398	−	0.461005i	$-0.152511\pi$
$503$	3.91890	+	5.39391i	0.174735	+	0.240502i	−0.712662	+	0.701507i	$0.752511\pi$
$504$	−2.84941	+	2.07022i	−0.126923	+	0.0922148i
$505$	−31.8988	+	0.665008i	−1.41948	+	0.0295925i
$506$	38.0659	+	27.6565i	1.69224	+	1.22948i
$507$		−	12.6167i		−	0.560328i
$508$	2.56501	−	3.53043i	0.113804	−	0.156638i
$509$	5.43941	−	16.7408i	0.241098	−	0.742022i	−0.755156	−	0.655545i	$-0.772439\pi$
$509$	5.43941	−	16.7408i	0.241098	−	0.742022i	0.996254	−	0.0864773i	$-0.0275610\pi$
$510$	−7.27622	+	2.53304i	−0.322196	+	0.112165i
$511$	−10.7032	−	32.9411i	−0.473482	−	1.45723i
$512$	0.951057	+	0.309017i	0.0420312	+	0.0136568i
$513$	−2.16299	−	0.702799i	−0.0954985	−	0.0310293i
$514$	0.556690	+	1.71331i	0.0245545	+	0.0755711i
$515$	23.8831	+	31.4713i	1.05241	+	1.38679i
$516$	−0.467392	+	1.43848i	−0.0205758	+	0.0633258i
$517$	32.9762	−	45.3878i	1.45029	−	1.99615i
$518$		−	3.52816i		−	0.155018i
$519$	4.96053	+	3.60403i	0.217743	+	0.158199i
$520$	1.10276	−	0.836871i	0.0483594	−	0.0366992i
$521$	−14.9188	+	10.8391i	−0.653605	+	0.474872i	−0.864497	−	0.502638i	$-0.832363\pi$
$521$	−14.9188	+	10.8391i	−0.653605	+	0.474872i	0.210892	+	0.977509i	$0.432363\pi$
$522$	1.57623	+	2.16949i	0.0689895	+	0.0949559i
$523$	−9.81016	+	3.18752i	−0.428968	+	0.139380i	−0.515540	−	0.856865i	$-0.672409\pi$
$523$	−9.81016	+	3.18752i	−0.428968	+	0.139380i	0.0865719	+	0.996246i	$0.472409\pi$
$524$	0.617783			0.0269880
$525$	13.8033	−	10.9359i	0.602424	−	0.477280i
$526$	14.2039			0.619318
$527$	−32.0115	+	10.4012i	−1.39444	+	0.453082i
$528$	3.08880	+	4.25137i	0.134423	+	0.185017i
$529$	46.2520	−	33.6040i	2.01096	−	1.46105i
$530$	−1.01599	−	0.706280i	−0.0441317	−	0.0306788i
$531$	−0.225531	−	0.163858i	−0.00978720	−	0.00711082i
$532$		−	8.01025i		−	0.347288i
$533$	−2.29143	+	3.15388i	−0.0992528	+	0.136610i
$534$	4.13649	−	12.7308i	0.179004	−	0.550916i
$535$	0.0337295	+	1.61792i	0.00145825	+	0.0699488i
$536$	−3.68104	−	11.3291i	−0.158997	−	0.489342i
$537$	13.6284	+	4.42813i	0.588108	+	0.191088i
$538$	5.93752	+	1.92922i	0.255985	+	0.0831744i
$539$	−8.77697	−	27.0127i	−0.378051	−	1.16352i
$540$	−1.27634	+	1.83602i	−0.0549248	+	0.0790097i
$541$	−11.5756	+	35.6262i	−0.497676	+	1.53169i	0.315069	+	0.949069i	$0.397972\pi$
$541$	−11.5756	+	35.6262i	−0.497676	+	1.53169i	−0.812745	+	0.582620i	$0.802028\pi$
$542$	−14.0169	+	19.2926i	−0.602076	+	0.828687i
$543$		−	15.7294i		−	0.675015i
$544$	2.78752	+	2.02525i	0.119514	+	0.0868320i
$545$	1.66367	−	5.50835i	0.0712637	−	0.235952i
$546$	1.76408	−	1.28168i	0.0754956	−	0.0548508i
$547$	−6.49261	−	8.93631i	−0.277604	−	0.382089i	0.647334	−	0.762206i	$-0.275884\pi$
$547$	−6.49261	−	8.93631i	−0.277604	−	0.382089i	−0.924938	+	0.380117i	$0.875884\pi$
$548$	8.81784	−	2.86509i	0.376679	−	0.122391i
$549$	−3.68218			−0.157152
$550$	−16.3165	−	20.5947i	−0.695738	−	0.878162i
$551$	−6.09886			−0.259820
$552$	8.51557	−	2.76688i	0.362447	−	0.117766i
$553$	−13.4990	−	18.5798i	−0.574035	−	0.790092i
$554$	−5.64173	+	4.09896i	−0.239694	+	0.174148i
$555$	−0.736430	−	2.11542i	−0.0312597	−	0.0897944i
$556$	−15.1787	−	11.0279i	−0.643719	−	0.467689i
$557$			29.7087i			1.25880i	0.777082	+	0.629400i	$0.216699\pi$
$557$			29.7087i			1.25880i	−0.777082	+	0.629400i	$0.783301\pi$
$558$	−5.74193	+	7.90309i	−0.243075	+	0.334564i
$559$	0.289364	−	0.890570i	0.0122388	−	0.0376671i
$560$	−7.53922	−	2.27704i	−0.318590	−	0.0962226i
$561$	5.59518	+	17.2202i	0.236229	+	0.727038i
$562$	11.0644	+	3.59504i	0.466723	+	0.151647i
$563$	−17.4332	−	5.66439i	−0.734722	−	0.238726i	−0.0823274	−	0.996605i	$-0.526235\pi$
$563$	−17.4332	−	5.66439i	−0.734722	−	0.238726i	−0.652394	+	0.757880i	$0.726235\pi$
$564$	−3.29908	−	10.1535i	−0.138916	−	0.427540i
$565$	−32.5112	−	9.81925i	−1.36776	−	0.413099i
$566$	2.96811	−	9.13490i	0.124759	−	0.383969i
$567$	−2.07022	+	2.84941i	−0.0869410	+	0.119664i
$568$		−	4.74858i		−	0.199246i
$569$	−17.7915	−	12.9263i	−0.745859	−	0.541898i	0.148681	−	0.988885i	$-0.452497\pi$
$569$	−17.7915	−	12.9263i	−0.745859	−	0.541898i	−0.894541	+	0.446987i	$0.852497\pi$
$570$	−1.67197	−	4.80279i	−0.0700313	−	0.201167i
$571$	−20.2890	+	14.7408i	−0.849069	+	0.616885i	−0.924889	−	0.380237i	$-0.875843\pi$
$571$	−20.2890	+	14.7408i	−0.849069	+	0.616885i	0.0758199	+	0.997122i	$0.475843\pi$
$572$	−1.91229	−	2.63204i	−0.0799567	−	0.110051i
$573$	−3.44511	+	1.11938i	−0.143922	+	0.0467629i
$574$	22.1780			0.925691
$575$	−41.9643	+	15.5969i	−1.75003	+	0.650435i
$576$	1.00000			0.0416667
$577$	−33.2751	+	10.8117i	−1.38526	+	0.450099i	−0.904395	−	0.426695i	$-0.859678\pi$
$577$	−33.2751	+	10.8117i	−1.38526	+	0.450099i	−0.480866	+	0.876794i	$0.659678\pi$
$578$	−3.01421	−	4.14870i	−0.125374	−	0.172563i
$579$	−7.86757	+	5.71613i	−0.326965	+	0.237554i
$580$	−1.73370	+	5.74022i	−0.0719879	+	0.238350i
$581$	7.57866	+	5.50622i	0.314416	+	0.228437i
$582$			4.37205i			0.181227i
$583$	−1.70923	+	2.35256i	−0.0707892	+	0.0974330i
$584$	−3.03890	+	9.35277i	−0.125751	+	0.387020i
$585$	0.790184	−	1.13668i	0.0326701	−	0.0469961i
$586$	−2.63504	−	8.10981i	−0.108852	−	0.335013i
$587$	9.87738	+	3.20936i	0.407683	+	0.132464i	0.505677	−	0.862723i	$-0.331243\pi$
$587$	9.87738	+	3.20936i	0.407683	+	0.132464i	−0.0979941	+	0.995187i	$0.531243\pi$
$588$	−5.14040	−	1.67022i	−0.211987	−	0.0688786i
$589$	−6.86547	−	21.1298i	−0.282887	−	0.870636i
$590$	−0.0129925	−	0.623216i	−0.000534891	−	0.0256574i
$591$	−2.18591	+	6.72755i	−0.0899165	+	0.276734i
$592$	−0.588802	+	0.810416i	−0.0241996	+	0.0333079i
$593$			0.948200i			0.0389379i	0.999810	+	0.0194690i	$0.00619755\pi$
$593$			0.948200i			0.0389379i	−0.999810	+	0.0194690i	$0.993802\pi$
$594$	4.25137	+	3.08880i	0.174436	+	0.126735i
$595$	−22.2810	−	15.4890i	−0.913433	−	0.634987i
$596$	13.6235	−	9.89807i	0.558041	−	0.405441i
$597$	10.3888	+	14.2990i	0.425185	+	0.585217i
$598$	−5.27202	+	1.71298i	−0.215589	+	0.0700491i
$599$	−25.4901			−1.04150			−0.520748	−	0.853710i	$-0.674347\pi$
$599$	−25.4901			−1.04150			−0.520748	+	0.853710i	$0.674347\pi$
$600$	−4.99566	+	0.208384i	−0.203947	+	0.00850723i
$601$	−16.6409			−0.678797			−0.339399	−	0.940643i	$-0.610224\pi$
$601$	−16.6409			−0.678797			−0.339399	+	0.940643i	$0.610224\pi$
$602$	−5.06644	+	1.64618i	−0.206492	+	0.0670935i
$603$	−7.00176	−	9.63710i	−0.285134	−	0.392453i
$604$	13.5860	−	9.87079i	0.552805	−	0.401637i
$605$	−29.5949	+	22.4591i	−1.20320	+	0.913092i
$606$	11.5436	+	8.38692i	0.468927	+	0.340695i
$607$		−	33.2662i		−	1.35023i	−0.737712	−	0.675116i	$-0.764094\pi$
$607$		−	33.2662i		−	1.35023i	0.737712	−	0.675116i	$-0.235906\pi$
$608$	−1.33680	+	1.83995i	−0.0542145	+	0.0746199i
$609$	−2.91863	+	8.98262i	−0.118269	+	0.363994i
$610$	−4.97738	−	6.55881i	−0.201528	−	0.265558i
$611$	2.04247	+	6.28607i	0.0826295	+	0.254307i
$612$	3.27693	+	1.06474i	0.132462	+	0.0430395i
$613$	−15.4852	−	5.03144i	−0.625440	−	0.203218i	−0.0208859	−	0.999782i	$-0.506649\pi$
$613$	−15.4852	−	5.03144i	−0.625440	−	0.203218i	−0.604554	+	0.796564i	$0.706649\pi$
$614$	0.883153	+	2.71807i	0.0356412	+	0.109692i
$615$	13.2975	−	4.62919i	0.536207	−	0.186667i
$616$	−5.71941	+	17.6025i	−0.230442	+	0.709226i
$617$	28.5243	−	39.2603i	1.14834	−	1.58056i	0.401063	−	0.916050i	$-0.368641\pi$
$617$	28.5243	−	39.2603i	1.14834	−	1.58056i	0.747280	−	0.664509i	$-0.231359\pi$
$618$		−	17.6683i		−	0.710723i
$619$	−19.9552	−	14.4983i	−0.802066	−	0.582735i	0.109454	−	0.993992i	$-0.465090\pi$
$619$	−19.9552	−	14.4983i	−0.802066	−	0.582735i	−0.911519	+	0.411257i	$0.865090\pi$
$620$	−21.8389	+	0.455284i	−0.877069	+	0.0182847i
$621$	7.24378	−	5.26291i	0.290683	−	0.211193i
$622$	5.97296	+	8.22107i	0.239494	+	0.329635i
$623$	44.8388	−	14.5690i	1.79643	−	0.583694i
$624$	−0.619103			−0.0247840
$625$	24.9132	−	2.08203i	0.996526	−	0.0832811i
$626$	−18.2036			−0.727563
$627$	−11.3665	+	3.69320i	−0.453934	+	0.147492i
$628$	2.67707	+	3.68467i	0.106827	+	0.147034i
$629$	−2.79234	+	2.02876i	−0.111338	+	0.0808918i
$630$	−7.87386	+	0.164150i	−0.313702	+	0.00653989i
$631$	9.54099	+	6.93194i	0.379821	+	0.275956i	0.761272	−	0.648433i	$-0.224575\pi$
$631$	9.54099	+	6.93194i	0.379821	+	0.275956i	−0.381451	+	0.924389i	$0.624575\pi$
$632$			6.52057i			0.259374i
$633$	6.91460	−	9.51713i	0.274831	−	0.378272i
$634$	9.66493	−	29.7456i	0.383843	−	1.18135i
$635$	9.21542	−	3.20812i	0.365703	−	0.127310i
$636$	0.170999	+	0.526281i	0.00678056	+	0.0208684i
$637$	3.18244	+	1.03404i	0.126093	+	0.0409700i
$638$	13.4022	+	4.35465i	0.530600	+	0.172402i
$639$	−1.46739	−	4.51617i	−0.0580491	−	0.178657i
$640$	1.35175	+	1.78123i	0.0534325	+	0.0704093i
$641$	−4.20359	+	12.9373i	−0.166032	+	0.510994i	−0.999111	−	0.0421603i	$-0.986576\pi$
$641$	−4.20359	+	12.9373i	−0.166032	+	0.510994i	0.833079	+	0.553154i	$0.186576\pi$
$642$	0.425388	−	0.585496i	0.0167887	−	0.0231077i
$643$			20.9102i			0.824617i	0.911044	+	0.412308i	$0.135277\pi$
$643$			20.9102i			0.824617i	−0.911044	+	0.412308i	$0.864723\pi$
$644$	25.5131	+	18.5363i	1.00536	+	0.730433i
$645$	−2.69413	+	2.04453i	−0.106081	+	0.0805035i
$646$	−6.33968	+	4.60604i	−0.249431	+	0.181222i
$647$	26.9722	+	37.1240i	1.06039	+	1.45950i	0.879444	+	0.476002i	$0.157914\pi$
$647$	26.9722	+	37.1240i	1.06039	+	1.45950i	0.180941	+	0.983494i	$0.442086\pi$
$648$	0.951057	−	0.309017i	0.0373610	−	0.0121393i
$649$	−1.46494			−0.0575039
$650$	3.09283	−	0.129011i	0.121311	−	0.00506023i
$651$	−34.4062			−1.34848
$652$	19.2239	−	6.24624i	0.752868	−	0.244622i
$653$	−1.53183	−	2.10838i	−0.0599450	−	0.0825072i	0.777992	−	0.628274i	$-0.216238\pi$
$653$	−1.53183	−	2.10838i	−0.0599450	−	0.0825072i	−0.837937	+	0.545767i	$0.816238\pi$
$654$	−2.08185	+	1.51256i	−0.0814069	+	0.0591456i
$655$	1.13426	+	0.788499i	0.0443192	+	0.0308092i
$656$	−5.09427	−	3.70121i	−0.198898	−	0.144508i
$657$			9.83408i			0.383664i
$658$	22.1017	−	30.4204i	0.861615	−	1.18591i
$659$	−7.39977	+	22.7742i	−0.288254	+	0.887155i	0.697150	+	0.716925i	$0.254451\pi$
$659$	−7.39977	+	22.7742i	−0.288254	+	0.887155i	−0.985404	+	0.170230i	$0.945549\pi$
$660$	0.244915	+	11.7479i	0.00953329	+	0.457288i
$661$	8.01908	+	24.6802i	0.311906	+	0.959948i	0.977009	+	0.213196i	$0.0683874\pi$
$661$	8.01908	+	24.6802i	0.311906	+	0.959948i	−0.665103	+	0.746751i	$0.731613\pi$
$662$	3.26397	+	1.06053i	0.126858	+	0.0412186i
$663$	−2.02876	−	0.659183i	−0.0787904	−	0.0256005i
$664$	−0.821902	−	2.52955i	−0.0318960	−	0.0981657i
$665$	10.2238	−	14.7070i	0.396461	−	0.570312i
$666$	−0.309552	+	0.952702i	−0.0119949	+	0.0369164i
$667$	14.1132	−	19.4252i	0.546466	−	0.752145i
$668$			7.19183i			0.278260i
$669$	−10.2749	−	7.46514i	−0.397250	−	0.288619i
$670$	7.70127	−	25.4987i	0.297526	−	0.985099i
$671$	−15.6543	+	11.3735i	−0.604328	+	0.439070i
$672$	2.07022	+	2.84941i	0.0798604	+	0.109918i
$673$	14.0845	−	4.57632i	0.542916	−	0.176404i	−0.0247037	−	0.999695i	$-0.507864\pi$
$673$	14.0845	−	4.57632i	0.542916	−	0.176404i	0.567620	+	0.823291i	$0.307864\pi$
$674$	11.7235			0.451574
$675$	−4.68676	+	1.74193i	−0.180393	+	0.0670468i
$676$	−12.6167			−0.485258
$677$	33.2224	−	10.7946i	1.27684	−	0.414870i	0.409373	−	0.912367i	$-0.365747\pi$
$677$	33.2224	−	10.7946i	1.27684	−	0.414870i	0.867466	+	0.497497i	$0.165747\pi$
$678$	8.92737	+	12.2875i	0.342853	+	0.471897i
$679$	−12.4578	+	9.05109i	−0.478085	+	0.347349i
$680$	2.53304	+	7.27622i	0.0971375	+	0.279030i
$681$	11.5415	+	8.38543i	0.442273	+	0.321330i
$682$			51.3346i			1.96571i
$683$	−12.3485	+	16.9963i	−0.472504	+	0.650346i	−0.977043	−	0.213043i	$-0.931662\pi$
$683$	−12.3485	+	16.9963i	−0.472504	+	0.650346i	0.504539	+	0.863389i	$0.331662\pi$
$684$	−0.702799	+	2.16299i	−0.0268722	+	0.0827041i
$685$	19.8465	+	5.99418i	0.758297	+	0.229026i
$686$	1.73603	+	5.34295i	0.0662819	+	0.203995i
$687$	8.37223	+	2.72030i	0.319421	+	0.103786i
$688$	1.43848	+	0.467392i	0.0548417	+	0.0178192i
$689$	−0.105866	−	0.325822i	−0.00403318	−	0.0124128i
$690$	19.1662	+	5.78870i	0.729645	+	0.220372i
$691$	−7.23231	+	22.2588i	−0.275130	+	0.846763i	0.714055	+	0.700090i	$0.246857\pi$
$691$	−7.23231	+	22.2588i	−0.275130	+	0.846763i	−0.989185	+	0.146673i	$0.953143\pi$
$692$	3.60403	−	4.96053i	0.137005	−	0.188571i
$693$			18.5084i			0.703076i
$694$	26.2204	+	19.0502i	0.995312	+	0.723137i
$695$	−13.7929	−	39.6206i	−0.523196	−	1.50290i
$696$	2.16949	−	1.57623i	0.0822342	−	0.0597467i
$697$	−12.7528	−	17.5527i	−0.483045	−	0.664854i
$698$	−10.8143	+	3.51377i	−0.409326	+	0.132998i
$699$	15.0762			0.570235
$700$	−10.9359	−	13.8033i	−0.413337	−	0.521715i
$701$	−43.2849			−1.63485			−0.817424	−	0.576037i	$-0.804598\pi$
$701$	−43.2849			−1.63485			−0.817424	+	0.576037i	$0.804598\pi$
$702$	−0.588802	+	0.191313i	−0.0222229	+	0.00722066i
$703$	−1.33912	−	1.84314i	−0.0505057	−	0.0695152i
$704$	4.25137	−	3.08880i	0.160230	−	0.116414i
$705$	6.90214	−	22.8528i	0.259950	−	0.860685i
$706$	−1.68861	−	1.22685i	−0.0635516	−	0.0461730i
$707$			50.2552i			1.89004i
$708$	−0.163858	+	0.225531i	−0.00615815	+	0.00847597i
$709$	7.72993	−	23.7903i	0.290303	−	0.893462i	−0.694455	−	0.719536i	$-0.744355\pi$
$709$	7.72993	−	23.7903i	0.290303	−	0.893462i	0.984759	−	0.173926i	$-0.0556454\pi$
$710$	6.06079	−	8.71848i	0.227457	−	0.327199i
$711$	2.01497	+	6.20143i	0.0755671	+	0.232572i
$712$	−12.7308	−	4.13649i	−0.477108	−	0.155022i
$713$	83.1865	+	27.0289i	3.11536	+	1.01224i
$714$	3.75008	+	11.5416i	0.140343	+	0.431932i
$715$	−0.151627	−	7.27319i	−0.00567054	−	0.272002i
$716$	4.42813	−	13.6284i	0.165487	−	0.509316i
$717$	−3.67120	+	5.05298i	−0.137104	+	0.188707i
$718$		−	6.81215i		−	0.254227i
$719$	−24.9533	−	18.1296i	−0.930601	−	0.676121i	0.0155391	−	0.999879i	$-0.495054\pi$
$719$	−24.9533	−	18.1296i	−0.930601	−	0.676121i	−0.946140	+	0.323758i	$0.895054\pi$
$720$	1.83602	+	1.27634i	0.0684244	+	0.0475663i
$721$	50.3442	−	36.5772i	1.87492	−	1.36221i
$722$	8.12762	+	11.1867i	0.302479	+	0.416326i
$723$	−14.0846	+	4.57636i	−0.523812	+	0.170197i
$724$	−15.7294			−0.584580
$725$	−10.5096	+	8.32636i	−0.390315	+	0.309233i
$726$	16.6149			0.616635
$727$	0.623458	−	0.202574i	0.0231228	−	0.00751304i	−0.297433	−	0.954743i	$-0.596130\pi$
$727$	0.623458	−	0.202574i	0.0231228	−	0.00751304i	0.320556	+	0.947230i	$0.396130\pi$
$728$	−1.28168	−	1.76408i	−0.0475022	−	0.0653811i
$729$	0.809017	−	0.587785i	0.0299636	−	0.0217698i
$730$	−17.5168	+	13.2932i	−0.648324	+	0.492003i
$731$	4.21616	+	3.06322i	0.155940	+	0.113297i
$732$			3.68218i			0.136097i
$733$	8.05975	−	11.0933i	0.297694	−	0.409740i	−0.633800	−	0.773497i	$-0.718506\pi$
$733$	8.05975	−	11.0933i	0.297694	−	0.409740i	0.931494	+	0.363756i	$0.118506\pi$
$734$	0.0480016	−	0.147734i	0.00177177	−	0.00545295i
$735$	−7.30611	−	9.62744i	−0.269490	−	0.355113i
$736$	−2.76688	−	8.51557i	−0.101988	−	0.313888i
$737$	−59.5342	−	19.3438i	−2.19297	−	0.712539i
$738$	−5.98868	−	1.94584i	−0.220446	−	0.0716273i
$739$	3.38589	+	10.4207i	0.124552	+	0.383332i	0.993819	−	0.111011i	$-0.0354088\pi$
$739$	3.38589	+	10.4207i	0.124552	+	0.383332i	−0.869267	+	0.494343i	$0.835409\pi$
$740$	−2.11542	+	0.736430i	−0.0777642	+	0.0270717i
$741$	0.435105	−	1.33912i	0.0159840	−	0.0491937i
$742$	−1.14559	+	1.57676i	−0.0420558	+	0.0578848i
$743$			5.67053i			0.208032i	0.994576	+	0.104016i	$0.0331692\pi$
$743$			5.67053i			0.208032i	−0.994576	+	0.104016i	$0.966831\pi$
$744$	7.90309	+	5.74193i	0.289741	+	0.210509i
$745$	37.6463	−	0.784829i	1.37925	−	0.0287539i
$746$	24.0650	−	17.4843i	0.881084	−	0.640145i
$747$	−1.56335	−	2.15177i	−0.0572000	−	0.0787290i
$748$	17.2202	−	5.59518i	0.629633	−	0.204580i
$749$	2.54896			0.0931371
$750$	−9.43808	−	5.99354i	−0.344630	−	0.218853i
$751$	−22.2909			−0.813408			−0.406704	−	0.913560i	$-0.633322\pi$
$751$	−22.2909			−0.813408			−0.406704	+	0.913560i	$0.633322\pi$
$752$	−10.1535	+	3.29908i	−0.370261	+	0.120305i
$753$	10.7414	+	14.7843i	0.391439	+	0.538770i
$754$	−1.34314	+	0.975846i	−0.0489141	+	0.0355382i
$755$	37.5426	−	0.782666i	1.36631	−	0.0284841i
$756$	2.84941	+	2.07022i	0.103632	+	0.0752931i
$757$			17.3894i			0.632030i	0.948754	+	0.316015i	$0.102345\pi$
$757$			17.3894i			0.632030i	−0.948754	+	0.316015i	$0.897655\pi$
$758$	9.80558	−	13.4962i	0.356155	−	0.490205i
$759$	14.5399	−	44.7492i	0.527765	−	1.62429i
$760$	−4.80279	+	1.67197i	−0.174216	+	0.0606489i
$761$	4.78812	+	14.7363i	0.173569	+	0.534191i	0.999565	−	0.0294850i	$-0.00938672\pi$
$761$	4.78812	+	14.7363i	0.173569	+	0.534191i	−0.825996	+	0.563676i	$0.809387\pi$
$762$	−4.15027	−	1.34850i	−0.150348	−	0.0488512i
$763$	−8.61978	−	2.80074i	−0.312057	−	0.101393i
$764$	1.11938	+	3.44511i	0.0404979	+	0.124640i
$765$	4.65754	+	6.13734i	0.168394	+	0.221896i
$766$	−3.48545	+	10.7271i	−0.125934	+	0.387586i
$767$	0.101445	−	0.139627i	0.00366296	−	0.00504163i
$768$		−	1.00000i		−	0.0360844i
$769$	−39.5215	−	28.7140i	−1.42518	−	1.03545i	−0.990889	−	0.134683i	$-0.956998\pi$
$769$	−39.5215	−	28.7140i	−1.42518	−	1.03545i	−0.434292	−	0.900772i	$-0.643002\pi$
$770$	−32.9677	+	25.0187i	−1.18807	+	0.901610i
$771$	1.45743	−	1.05889i	0.0524881	−	0.0381349i
$772$	5.71613	+	7.86757i	0.205728	+	0.283160i
$773$	−1.02281	+	0.332330i	−0.0367878	+	0.0119531i	−0.327353	−	0.944902i	$-0.606157\pi$
$773$	−1.02281	+	0.332330i	−0.0367878	+	0.0119531i	0.290565	+	0.956855i	$0.406157\pi$
$774$	1.51251			0.0543661
$775$	−40.6776	−	27.0378i	−1.46118	−	0.971227i
$776$	4.37205			0.156947
$777$	−3.35548	+	1.09026i	−0.120377	+	0.0391129i
$778$	3.91547	+	5.38919i	0.140377	+	0.193212i
$779$	11.5859	−	8.41768i	0.415109	−	0.301595i
$780$	−1.13668	−	0.790184i	−0.0406998	−	0.0282931i
$781$	−20.1880	−	14.6674i	−0.722383	−	0.524842i
$782$		−	30.8509i		−	1.10323i
$783$	1.57623	−	2.16949i	0.0563297	−	0.0775312i
$784$	−1.67022	+	5.14040i	−0.0596506	+	0.183586i
$785$	0.212268	+	10.1820i	0.00757617	+	0.363410i
$786$	−0.190905	−	0.587547i	−0.00680937	−	0.0209571i
$787$	35.9953	+	11.6956i	1.28310	+	0.416903i	0.869669	−	0.493635i	$-0.164332\pi$
$787$	35.9953	+	11.6956i	1.28310	+	0.416903i	0.413426	+	0.910538i	$0.364332\pi$
$788$	6.72755	+	2.18591i	0.239659	+	0.0778700i
$789$	−4.38923	−	13.5087i	−0.156261	−	0.480922i
$790$	−8.32244	+	11.9719i	−0.296099	+	0.425940i
$791$	−16.5304	+	50.8755i	−0.587755	+	1.80892i
$792$	3.08880	−	4.25137i	0.109756	−	0.151066i
$793$		−	2.27965i		−	0.0809527i
$794$	−30.1144	−	21.8794i	−1.06872	−	0.776471i
$795$	−0.357755	+	1.18451i	−0.0126882	+	0.0420104i
$796$	14.2990	−	10.3888i	0.506813	−	0.368221i
$797$	6.79344	+	9.35037i	0.240636	+	0.331207i	0.912204	−	0.409736i	$-0.134379\pi$
$797$	6.79344	+	9.35037i	0.240636	+	0.331207i	−0.671568	+	0.740943i	$0.734379\pi$
$798$	−7.61820	+	2.47530i	−0.269681	+	0.0876248i
$799$	−36.7850			−1.30136
$800$	0.208384	+	4.99566i	0.00736748	+	0.176623i
$801$	−13.3860			−0.472970
$802$	−18.7255	+	6.08427i	−0.661219	+	0.214843i
$803$	30.3755	+	41.8083i	1.07193	+	1.47538i
$804$	−9.63710	+	7.00176i	−0.339874	+	0.246933i
$805$	23.1839	+	66.5963i	0.817123	+	2.34721i
$806$	−4.89283	−	3.55485i	−0.172342	−	0.125214i
$807$		−	6.24307i		−	0.219767i
$808$	8.38692	−	11.5436i	0.295051	−	0.406103i
$809$	6.24192	−	19.2106i	0.219454	−	0.675410i	−0.779353	−	0.626585i	$-0.784452\pi$
$809$	6.24192	−	19.2106i	0.219454	−	0.675410i	0.998807	−	0.0488254i	$-0.0155478\pi$
$810$	2.14057	+	0.646508i	0.0752119	+	0.0227160i
$811$	−12.8802	−	39.6412i	−0.452285	−	1.39199i	−0.874293	−	0.485399i	$-0.838674\pi$
$811$	−12.8802	−	39.6412i	−0.452285	−	1.39199i	0.422008	−	0.906592i	$-0.361326\pi$
$812$	8.98262	+	2.91863i	0.315228	+	0.102424i
$813$	22.6798	+	7.36910i	0.795414	+	0.258446i
$814$	1.62669	+	5.00643i	0.0570154	+	0.175475i
$815$	43.2678	+	13.0680i	1.51561	+	0.457753i
$816$	1.06474	−	3.27693i	0.0372733	−	0.114715i
$817$	−2.02193	+	2.78295i	−0.0707384	+	0.0973631i
$818$		−	29.5602i		−	1.03355i
$819$	−1.76408	−	1.28168i	−0.0616419	−	0.0447855i
$820$	−4.62919	−	13.2975i	−0.161658	−	0.464369i
$821$	26.4710	−	19.2323i	0.923844	−	0.671212i	−0.0206340	−	0.999787i	$-0.506568\pi$
$821$	26.4710	−	19.2323i	0.923844	−	0.671212i	0.944478	+	0.328575i	$0.106568\pi$
$822$	−5.44972	−	7.50090i	−0.190081	−	0.261624i
$823$	31.8460	−	10.3474i	1.11008	−	0.360687i	0.304107	−	0.952638i	$-0.401642\pi$
$823$	31.8460	−	10.3474i	1.11008	−	0.360687i	0.805974	+	0.591950i	$0.201642\pi$
$824$	−17.6683			−0.615504
$825$	−14.5447	+	21.8820i	−0.506381	+	0.761835i
$826$	−0.981851			−0.0341630
$827$	8.32052	−	2.70350i	0.289333	−	0.0940100i	−0.160755	−	0.986994i	$-0.551393\pi$
$827$	8.32052	−	2.70350i	0.289333	−	0.0940100i	0.450088	+	0.892984i	$0.351393\pi$
$828$	−5.26291	−	7.24378i	−0.182899	−	0.251739i
$829$	15.3302	−	11.1381i	0.532441	−	0.386841i	−0.288829	−	0.957381i	$-0.593266\pi$
$829$	15.3302	−	11.1381i	0.532441	−	0.386841i	0.821270	+	0.570539i	$0.193266\pi$
$830$	1.71954	−	5.69333i	0.0596860	−	0.197618i
$831$	5.64173	+	4.09896i	0.195710	+	0.142191i
$832$			0.619103i			0.0214635i
$833$	−10.9464	+	15.0664i	−0.379269	+	0.522019i
$834$	−5.79774	+	17.8436i	−0.200759	+	0.617873i
$835$	−9.17919	+	13.2043i	−0.317659	+	0.456955i
$836$	3.69320	+	11.3665i	0.127732	+	0.393118i
$837$	9.29064	+	3.01871i	0.321131	+	0.104342i
$838$	1.11299	+	0.361633i	0.0384477	+	0.0124924i
$839$	3.54657	+	10.9152i	0.122441	+	0.376835i	0.993426	−	0.114474i	$-0.0365184\pi$
$839$	3.54657	+	10.9152i	0.122441	+	0.376835i	−0.870985	+	0.491309i	$0.836518\pi$
$840$	0.164150	+	7.87386i	0.00566371	+	0.271674i
$841$	−6.73930	+	20.7414i	−0.232390	+	0.715222i
$842$	4.89633	−	6.73922i	0.168739	−	0.232249i
$843$		−	11.6338i		−	0.400689i
$844$	−9.51713	−	6.91460i	−0.327593	−	0.238010i
$845$	−23.1645	−	16.1032i	−0.796884	−	0.553966i
$846$	−8.63710	+	6.27522i	−0.296949	+	0.215746i
$847$	34.3964	+	47.3425i	1.18187	+	1.62671i
$848$	0.526281	−	0.170999i	0.0180726	−	0.00587213i
$849$	−9.60500			−0.329643
$850$	−4.63621	+	16.5923i	−0.159021	+	0.569110i
$851$	8.96929			0.307463
$852$	−4.51617	+	1.46739i	−0.154721	+	0.0502720i
$853$	−6.10223	−	8.39899i	−0.208936	−	0.287576i	0.691668	−	0.722215i	$-0.256876\pi$
$853$	−6.10223	−	8.39899i	−0.208936	−	0.287576i	−0.900605	+	0.434639i	$0.856876\pi$
$854$	−10.4920	+	7.62292i	−0.359030	+	0.260851i
$855$	−4.05106	+	3.07429i	−0.138543	+	0.105138i
$856$	−0.585496	−	0.425388i	−0.0200119	−	0.0145395i
$857$		−	32.7252i		−	1.11787i	−0.829211	−	0.558936i	$-0.811210\pi$
$857$		−	32.7252i		−	1.11787i	0.829211	−	0.558936i	$-0.188790\pi$
$858$	−1.91229	+	2.63204i	−0.0652844	+	0.0898563i
$859$	−6.38693	+	19.6569i	−0.217919	+	0.670686i	0.781014	+	0.624513i	$0.214703\pi$
$859$	−6.38693	+	19.6569i	−0.217919	+	0.670686i	−0.998933	+	0.0461730i	$0.985297\pi$
$860$	2.04453	+	2.69413i	0.0697180	+	0.0918691i
$861$	−6.85337	−	21.0925i	−0.233562	−	0.718831i
$862$	−17.7778	−	5.77636i	−0.605515	−	0.196744i
$863$	−53.5643	−	17.4041i	−1.82335	−	0.592443i	−0.999678	−	0.0253777i	$-0.991921\pi$
$863$	−53.5643	−	17.4041i	−1.82335	−	0.592443i	−0.823673	−	0.567065i	$-0.808079\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	12.9484	−	4.50766i	0.440258	−	0.153265i
$866$	−5.84299	+	17.9829i	−0.198553	+	0.611083i
$867$	−3.01421	+	4.14870i	−0.102368	+	0.140897i
$868$			34.4062i			1.16782i
$869$	27.7213	+	20.1407i	0.940382	+	0.683228i
$870$	5.99501	−	0.124981i	0.203250	−	0.00423724i
$871$	5.96636	−	4.33481i	0.202162	−	0.146879i
$872$	1.51256	+	2.08185i	0.0512216	+	0.0705005i
$873$	4.15806	−	1.35104i	0.140729	−	0.0457257i
$874$	20.3637			0.688812
$875$	−2.46082	−	39.3009i	−0.0831910	−	1.32861i
$876$	9.83408			0.332263
$877$	−42.8777	+	13.9318i	−1.44788	+	0.470443i	−0.924343	−	0.381562i	$-0.875386\pi$
$877$	−42.8777	+	13.9318i	−1.44788	+	0.470443i	−0.523533	+	0.852006i	$0.675386\pi$
$878$	−24.0169	−	33.0564i	−0.810531	−	1.11560i
$879$	−6.89862	+	5.01214i	−0.232685	+	0.169055i
$880$	11.7479	−	0.244915i	0.396023	−	0.00825607i
$881$	−25.2754	−	18.3636i	−0.851550	−	0.618687i	0.0740232	−	0.997257i	$-0.476416\pi$
$881$	−25.2754	−	18.3636i	−0.851550	−	0.618687i	−0.925573	+	0.378569i	$0.876416\pi$
$882$			5.40494i			0.181994i
$883$	15.7843	−	21.7253i	0.531185	−	0.731113i	−0.456126	−	0.889915i	$-0.650763\pi$
$883$	15.7843	−	21.7253i	0.531185	−	0.731113i	0.987310	+	0.158802i	$0.0507633\pi$
$884$	−0.659183	+	2.02876i	−0.0221707	+	0.0682345i
$885$	−0.588699	+	0.204941i	−0.0197889	+	0.00688902i
$886$	1.85127	+	5.69762i	0.0621946	+	0.191415i
$887$	13.8750	+	4.50825i	0.465876	+	0.151372i	0.532543	−	0.846403i	$-0.321237\pi$
$887$	13.8750	+	4.50825i	0.465876	+	0.151372i	−0.0666671	+	0.997775i	$0.521237\pi$
$888$	0.952702	+	0.309552i	0.0319706	+	0.0103879i
$889$	−4.74952	−	14.6175i	−0.159294	−	0.490256i
$890$	−18.0945	−	23.8435i	−0.606527	−	0.799236i
$891$	1.62388	−	4.99779i	0.0544020	−	0.167432i
$892$	−7.46514	+	10.2749i	−0.249952	+	0.344029i
$893$		−	24.2806i		−	0.812519i
$894$	−13.6235	−	9.89807i	−0.455639	−	0.331041i
$895$	25.5245	−	19.3702i	0.853191	−	0.647473i
$896$	2.84941	−	2.07022i	0.0951921	−	0.0691611i
$897$	3.25829	+	4.48465i	0.108791	+	0.149738i
$898$	11.8411	−	3.84740i	0.395142	−	0.128390i
$899$	26.1962			0.873693
$900$	1.74193	+	4.68676i	0.0580642	+	0.156225i
$901$	1.90665			0.0635199
$902$	−31.4704	+	10.2254i	−1.04785	+	0.340467i
$903$	3.13123	+	4.30977i	0.104201	+	0.143420i
$904$	12.2875	−	8.92737i	0.408675	−	0.296920i
$905$	−28.8796	−	20.0761i	−0.959989	−	0.667351i
$906$	−13.5860	−	9.87079i	−0.451364	−	0.327935i
$907$		−	29.5506i		−	0.981211i	−0.871382	−	0.490606i	$-0.836776\pi$
$907$		−	29.5506i		−	0.981211i	0.871382	−	0.490606i	$-0.163224\pi$
$908$	8.38543	−	11.5415i	0.278280	−	0.383020i
$909$	4.40926	−	13.5703i	0.146246	−	0.450099i
$910$	−0.101626	−	4.87473i	−0.00336886	−	0.161596i
$911$	1.30316	+	4.01073i	0.0431757	+	0.132881i	0.970321	−	0.241821i	$-0.0777448\pi$
$911$	1.30316	+	4.01073i	0.0431757	+	0.132881i	−0.927145	+	0.374703i	$0.877745\pi$
$912$	2.16299	+	0.702799i	0.0716239	+	0.0232720i
$913$	−13.2928	−	4.31908i	−0.439926	−	0.142941i
$914$	−0.345503	−	1.06335i	−0.0114282	−	0.0351724i
$915$	−4.69970	+	6.76055i	−0.155367	+	0.223497i
$916$	2.72030	−	8.37223i	0.0898813	−	0.276626i
$917$	1.27895	−	1.76032i	0.0422345	−	0.0581308i
$918$		−	3.44557i		−	0.113721i
$919$	23.0230	+	16.7272i	0.759459	+	0.551779i	0.898744	−	0.438473i	$-0.144481\pi$
$919$	23.0230	+	16.7272i	0.759459	+	0.551779i	−0.139286	+	0.990252i	$0.544481\pi$
$920$	5.78870	−	19.1662i	0.190848	−	0.631892i
$921$	2.31212	−	1.67986i	0.0761871	−	0.0553532i
$922$	17.6892	+	24.3470i	0.582561	+	0.801827i
$923$	2.79597	−	0.908467i	0.0920306	−	0.0299026i
$924$	18.5084			0.608881
$925$	−4.82388	−	1.34789i	−0.158608	−	0.0443182i
$926$	−21.0358			−0.691279
$927$	−16.8035	+	5.45980i	−0.551901	+	0.179323i
$928$	−1.57623	−	2.16949i	−0.0517421	−	0.0712169i
$929$	−21.2379	+	15.4302i	−0.696792	+	0.506249i	−0.878886	−	0.477032i	$-0.841712\pi$
$929$	−21.2379	+	15.4302i	−0.696792	+	0.506249i	0.182094	+	0.983281i	$0.441712\pi$
$930$	7.18158	+	20.6293i	0.235493	+	0.676461i
$931$	−9.94483	−	7.22534i	−0.325929	−	0.236801i
$932$		−	15.0762i		−	0.493838i
$933$	5.97296	−	8.22107i	0.195546	−	0.269146i
$934$	1.09273	−	3.36307i	0.0357552	−	0.110043i
$935$	38.7580	+	11.7059i	1.26752	+	0.382825i
$936$	0.191313	+	0.588802i	0.00625327	+	0.0192456i
$937$	5.07121	+	1.64774i	0.165669	+	0.0538292i	0.390677	−	0.920528i	$-0.372241\pi$
$937$	5.07121	+	1.64774i	0.165669	+	0.0538292i	−0.225008	+	0.974357i	$0.572241\pi$
$938$	−39.9018	−	12.9649i	−1.30284	−	0.423318i
$939$	5.62523	+	17.3127i	0.183572	+	0.564978i
$940$	−22.8528	−	6.90214i	−0.745375	−	0.225123i
$941$	−2.62746	+	8.08650i	−0.0856529	+	0.263612i	−0.984705	−	0.174229i	$-0.944257\pi$
$941$	−2.62746	+	8.08650i	−0.0856529	+	0.263612i	0.899052	+	0.437841i	$0.144257\pi$
$942$	2.67707	−	3.68467i	0.0872237	−	0.120053i
$943$			56.3809i			1.83602i
$944$	0.225531	+	0.163858i	0.00734040	+	0.00533311i
$945$	2.58927	+	7.43777i	0.0842291	+	0.241951i
$946$	6.43025	−	4.67185i	0.209065	−	0.151895i
$947$	−13.1250	−	18.0650i	−0.426504	−	0.587033i	0.540642	−	0.841253i	$-0.318181\pi$
$947$	−13.1250	−	18.0650i	−0.426504	−	0.587033i	−0.967146	+	0.254220i	$0.918181\pi$
$948$	6.20143	−	2.01497i	0.201413	−	0.0654430i
$949$	−6.08831			−0.197635
$950$	−10.9520	−	3.06021i	−0.355331	−	0.0992863i
$951$	−31.2764			−1.01421
$952$	11.5416	−	3.75008i	0.374064	−	0.121541i
$953$	−8.02894	−	11.0509i	−0.260083	−	0.357973i	0.658928	−	0.752206i	$-0.271010\pi$
$953$	−8.02894	−	11.0509i	−0.260083	−	0.357973i	−0.919011	+	0.394233i	$0.871010\pi$
$954$	0.447681	−	0.325260i	0.0144942	−	0.0105307i
$955$	−2.34191	+	7.75400i	−0.0757825	+	0.250913i
$956$	5.05298	+	3.67120i	0.163425	+	0.118735i
$957$		−	14.0919i		−	0.455528i
$958$	−23.7675	+	32.7132i	−0.767894	+	1.05692i
$959$	10.0910	−	31.0570i	0.325856	−	1.00288i
$960$	1.27634	−	1.83602i	0.0411936	−	0.0592572i
$961$	19.9095	+	61.2752i	0.642243	+	1.97662i
$962$	−0.589821	−	0.191644i	−0.0190166	−	0.00617886i
$963$	−0.688292	−	0.223640i	−0.0221799	−	0.00720669i
$964$	4.57636	+	14.0846i	0.147395	+	0.453634i
$965$	0.453238	+	21.7407i	0.0145903	+	0.699858i
$966$	9.74512	−	29.9924i	0.313544	−	0.964990i
$967$	18.4843	−	25.4414i	0.594414	−	0.818141i	−0.400769	−	0.916179i	$-0.631257\pi$
$967$	18.4843	−	25.4414i	0.594414	−	0.818141i	0.995183	+	0.0980386i	$0.0312569\pi$
$968$		−	16.6149i		−	0.534022i
$969$	6.33968	+	4.60604i	0.203660	+	0.147967i
$970$	8.02716	+	5.58021i	0.257737	+	0.179170i
$971$	3.40793	−	2.47601i	0.109366	−	0.0794589i	−0.531758	−	0.846896i	$-0.678468\pi$
$971$	3.40793	−	2.47601i	0.109366	−	0.0794589i	0.641124	+	0.767437i	$0.278468\pi$
$972$	−0.587785	−	0.809017i	−0.0188532	−	0.0259492i
$973$	−62.8463	+	20.4200i	−2.01476	+	0.654635i
$974$	26.7043			0.855661
$975$	−1.07843	−	2.90159i	−0.0345375	−	0.0929251i
$976$	3.68218			0.117864
$977$	−13.5077	+	4.38892i	−0.432149	+	0.140414i	−0.517011	−	0.855979i	$-0.672955\pi$
$977$	−13.5077	+	4.38892i	−0.432149	+	0.140414i	0.0848613	+	0.996393i	$0.472955\pi$
$978$	−11.8811	−	16.3529i	−0.379914	−	0.522907i
$979$	−56.9087	+	41.3466i	−1.81881	+	1.32144i
$980$	−9.62744	+	7.30611i	−0.307537	+	0.233385i
$981$	2.08185	+	1.51256i	0.0664685	+	0.0482922i
$982$			33.1096i			1.05657i
$983$	−18.9158	+	26.0353i	−0.603319	+	0.830398i	−0.996007	−	0.0892742i	$-0.971545\pi$
$983$	−18.9158	+	26.0353i	−0.603319	+	0.830398i	0.392688	+	0.919672i	$0.371545\pi$
$984$	−1.94584	+	5.98868i	−0.0620311	+	0.190912i
$985$	9.56194	+	12.6000i	0.304669	+	0.401469i
$986$	−2.85524	−	8.78752i	−0.0909293	−	0.279852i
$987$	−35.7613	−	11.6196i	−1.13830	−	0.369855i
$988$	−1.33912	−	0.435105i	−0.0426030	−	0.0138425i
$989$	−4.18494	−	12.8799i	−0.133073	−	0.409557i
$990$	11.0973	−	3.86324i	0.352695	−	0.122782i
$991$	12.2198	−	37.6086i	0.388174	−	1.19468i	−0.545978	−	0.837799i	$-0.683842\pi$
$991$	12.2198	−	37.6086i	0.388174	−	1.19468i	0.934152	−	0.356876i	$-0.116158\pi$
$992$	5.74193	−	7.90309i	0.182306	−	0.250923i
$993$		−	3.43194i		−	0.108909i
$994$	−13.5307	−	9.83059i	−0.429166	−	0.311808i
$995$	39.5127	−	0.823740i	1.25264	−	0.0261143i
$996$	−2.15177	+	1.56335i	−0.0681813	+	0.0495366i
$997$	−1.66750	−	2.29512i	−0.0528104	−	0.0726873i	0.781795	−	0.623535i	$-0.214304\pi$
$997$	−1.66750	−	2.29512i	−0.0528104	−	0.0726873i	−0.834605	+	0.550848i	$0.814304\pi$
$998$	5.71873	−	1.85813i	0.181023	−	0.0588181i
$999$	1.00173			0.0316933

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.h.b.19.2	✓	16
3.2	odd	2		450.2.l.c.19.3		16
5.2	odd	4		750.2.g.g.151.4		16
5.3	odd	4		750.2.g.f.151.1		16
5.4	even	2		750.2.h.d.349.4		16
25.2	odd	20		3750.2.a.u.1.7		8
25.3	odd	20		750.2.g.f.601.1		16
25.4	even	10	inner	150.2.h.b.79.2	yes	16
25.11	even	5		3750.2.c.k.1249.10		16
25.14	even	10		3750.2.c.k.1249.7		16
25.21	even	5		750.2.h.d.649.3		16
25.22	odd	20		750.2.g.g.601.4		16
25.23	odd	20		3750.2.a.v.1.2		8
75.29	odd	10		450.2.l.c.379.3		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.h.b.19.2	✓	16	1.1	even	1	trivial
150.2.h.b.79.2	yes	16	25.4	even	10	inner
450.2.l.c.19.3		16	3.2	odd	2
450.2.l.c.379.3		16	75.29	odd	10
750.2.g.f.151.1		16	5.3	odd	4
750.2.g.f.601.1		16	25.3	odd	20
750.2.g.g.151.4		16	5.2	odd	4
750.2.g.g.601.4		16	25.22	odd	20
750.2.h.d.349.4		16	5.4	even	2
750.2.h.d.649.3		16	25.21	even	5
3750.2.a.u.1.7		8	25.2	odd	20
3750.2.a.v.1.2		8	25.23	odd	20
3750.2.c.k.1249.7		16	25.14	even	10
3750.2.c.k.1249.10		16	25.11	even	5

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)

\(f(q)\)	\(=\)	\(q+(-0.951057 + 0.309017i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.23558 - 0.0466062i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.52206i q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(-0.951057 + 0.309017i) q^{2} +(0.587785 + 0.809017i) q^{3} +(0.809017 - 0.587785i) q^{4} +(2.23558 - 0.0466062i) q^{5} +(-0.809017 - 0.587785i) q^{6} -3.52206i q^{7} +(-0.587785 + 0.809017i) q^{8} +(-0.309017 + 0.951057i) q^{9} +(-2.11176 + 0.735158i) q^{10} +(1.62388 + 4.99779i) q^{11} +(0.951057 + 0.309017i) q^{12} +(-0.588802 - 0.191313i) q^{13} +(1.08838 + 3.34968i) q^{14} +(1.35175 + 1.78123i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.02525 - 2.78752i) q^{17} -1.00000i q^{18} +(1.83995 + 1.33680i) q^{19} +(1.78123 - 1.35175i) q^{20} +(2.84941 - 2.07022i) q^{21} +(-3.08880 - 4.25137i) q^{22} +(-8.51557 + 2.76688i) q^{23} -1.00000 q^{24} +(4.99566 - 0.208384i) q^{25} +0.619103 q^{26} +(-0.951057 + 0.309017i) q^{27} +(-2.07022 - 2.84941i) q^{28} +(-2.16949 + 1.57623i) q^{29} +(-1.83602 - 1.27634i) q^{30} +(-7.90309 - 5.74193i) q^{31} +1.00000i q^{32} +(-3.08880 + 4.25137i) q^{33} +(-1.06474 + 3.27693i) q^{34} +(-0.164150 - 7.87386i) q^{35} +(0.309017 + 0.951057i) q^{36} +(-0.952702 - 0.309552i) q^{37} +(-2.16299 - 0.702799i) q^{38} +(-0.191313 - 0.588802i) q^{39} +(-1.27634 + 1.83602i) q^{40} +(1.94584 - 5.98868i) q^{41} +(-2.07022 + 2.84941i) q^{42} +1.51251i q^{43} +(4.25137 + 3.08880i) q^{44} +(-0.646508 + 2.14057i) q^{45} +(7.24378 - 5.26291i) q^{46} +(-6.27522 - 8.63710i) q^{47} +(0.951057 - 0.309017i) q^{48} -5.40494 q^{49} +(-4.68676 + 1.74193i) q^{50} +3.44557 q^{51} +(-0.588802 + 0.191313i) q^{52} +(0.325260 + 0.447681i) q^{53} +(0.809017 - 0.587785i) q^{54} +(3.86324 + 11.0973i) q^{55} +(2.84941 + 2.07022i) q^{56} +2.27431i q^{57} +(1.57623 - 2.16949i) q^{58} +(-0.0861451 + 0.265127i) q^{59} +(2.14057 + 0.646508i) q^{60} +(1.13786 + 3.50196i) q^{61} +(9.29064 + 3.01871i) q^{62} +(3.34968 + 1.08838i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-1.32523 - 0.400255i) q^{65} +(1.62388 - 4.99779i) q^{66} +(-7.00176 + 9.63710i) q^{67} -3.44557i q^{68} +(-7.24378 - 5.26291i) q^{69} +(2.58927 + 7.43777i) q^{70} +(-3.84168 + 2.79115i) q^{71} +(-0.587785 - 0.809017i) q^{72} +(9.35277 - 3.03890i) q^{73} +1.00173 q^{74} +(3.10496 + 3.91909i) q^{75} +2.27431 q^{76} +(17.6025 - 5.71941i) q^{77} +(0.363900 + 0.500865i) q^{78} +(5.27525 - 3.83269i) q^{79} +(0.646508 - 2.14057i) q^{80} +(-0.809017 - 0.587785i) q^{81} +6.29687i q^{82} +(-1.56335 + 2.15177i) q^{83} +(1.08838 - 3.34968i) q^{84} +(4.39770 - 6.32612i) q^{85} +(-0.467392 - 1.43848i) q^{86} +(-2.55039 - 0.828671i) q^{87} +(-4.99779 - 1.62388i) q^{88} +(4.13649 + 12.7308i) q^{89} +(-0.0466062 - 2.23558i) q^{90} +(-0.673818 + 2.07380i) q^{91} +(-5.26291 + 7.24378i) q^{92} -9.76875i q^{93} +(8.63710 + 6.27522i) q^{94} +(4.17567 + 2.90278i) q^{95} +(-0.809017 + 0.587785i) q^{96} +(-2.56983 - 3.53706i) q^{97} +(5.14040 - 1.67022i) q^{98} -5.25498 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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