LMFDB - Embedded newform 150.2.h.b.79.4

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			79.4
Root			$-0.705457 - 0.309017i$ of defining polynomial
Character	$\chi$	$=$	150.79
Dual form			150.2.h.b.19.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.951057 + 0.309017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(0.809017 + 0.587785i) q^{4} +(1.97959 - 1.03982i) q^{5} +(-0.809017 + 0.587785i) q^{6} -0.329315i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})$	\(q+(0.951057 + 0.309017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(0.809017 + 0.587785i) q^{4} +(1.97959 - 1.03982i) q^{5} +(-0.809017 + 0.587785i) q^{6} -0.329315i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(2.20402 - 0.377200i) q^{10} +(-1.55540 + 4.78704i) q^{11} +(-0.951057 + 0.309017i) q^{12} +(-0.458554 + 0.148993i) q^{13} +(0.101764 - 0.313197i) q^{14} +(-0.322342 + 2.21271i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-3.98877 - 5.49007i) q^{17} -1.00000i q^{18} +(4.40115 - 3.19762i) q^{19} +(2.21271 + 0.322342i) q^{20} +(0.266421 + 0.193566i) q^{21} +(-2.95855 + 4.07210i) q^{22} +(-6.18239 - 2.00878i) q^{23} -1.00000 q^{24} +(2.83755 - 4.11683i) q^{25} -0.482152 q^{26} +(0.951057 + 0.309017i) q^{27} +(0.193566 - 0.266421i) q^{28} +(-4.87203 - 3.53974i) q^{29} +(-0.990331 + 2.00481i) q^{30} +(-1.06685 + 0.775108i) q^{31} +1.00000i q^{32} +(-2.95855 - 4.07210i) q^{33} +(-2.09702 - 6.45396i) q^{34} +(-0.342428 - 0.651908i) q^{35} +(0.309017 - 0.951057i) q^{36} +(-0.741956 + 0.241076i) q^{37} +(5.17386 - 1.68109i) q^{38} +(0.148993 - 0.458554i) q^{39} +(2.00481 + 0.990331i) q^{40} +(3.86905 + 11.9077i) q^{41} +(0.193566 + 0.266421i) q^{42} +2.47582i q^{43} +(-4.07210 + 2.95855i) q^{44} +(-1.60065 - 1.56138i) q^{45} +(-5.25906 - 3.82093i) q^{46} +(-2.57473 + 3.54381i) q^{47} +(-0.951057 - 0.309017i) q^{48} +6.89155 q^{49} +(3.97084 - 3.03849i) q^{50} +6.78610 q^{51} +(-0.458554 - 0.148993i) q^{52} +(0.990953 - 1.36393i) q^{53} +(0.809017 + 0.587785i) q^{54} +(1.89860 + 11.0937i) q^{55} +(0.266421 - 0.193566i) q^{56} +5.44012i q^{57} +(-3.53974 - 4.87203i) q^{58} +(-0.313909 - 0.966113i) q^{59} +(-1.56138 + 1.60065i) q^{60} +(1.29419 - 3.98310i) q^{61} +(-1.25415 + 0.407499i) q^{62} +(-0.313197 + 0.101764i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(-0.752823 + 0.771759i) q^{65} +(-1.55540 - 4.78704i) q^{66} +(-1.84819 - 2.54381i) q^{67} -6.78610i q^{68} +(5.25906 - 3.82093i) q^{69} +(-0.124218 - 0.725818i) q^{70} +(-4.62101 - 3.35736i) q^{71} +(0.587785 - 0.809017i) q^{72} +(-2.79866 - 0.909340i) q^{73} -0.780139 q^{74} +(1.66272 + 4.71544i) q^{75} +5.44012 q^{76} +(1.57644 + 0.512218i) q^{77} +(0.283402 - 0.390069i) q^{78} +(6.86459 + 4.98742i) q^{79} +(1.60065 + 1.56138i) q^{80} +(-0.809017 + 0.587785i) q^{81} +12.5205i q^{82} +(10.1073 + 13.9114i) q^{83} +(0.101764 + 0.313197i) q^{84} +(-13.6048 - 6.72048i) q^{85} +(-0.765070 + 2.35464i) q^{86} +(5.72742 - 1.86095i) q^{87} +(-4.78704 + 1.55540i) q^{88} +(-1.06683 + 3.28336i) q^{89} +(-1.03982 - 1.97959i) q^{90} +(0.0490657 + 0.151009i) q^{91} +(-3.82093 - 5.25906i) q^{92} -1.31869i q^{93} +(-3.54381 + 2.57473i) q^{94} +(5.38752 - 10.9064i) q^{95} +(-0.809017 - 0.587785i) q^{96} +(-5.58986 + 7.69378i) q^{97} +(6.55426 + 2.12961i) q^{98} +5.03339 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 $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

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

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
$5$	1.97959	−	1.03982i	0.885299	−	0.465021i
$5$	1.97959	−	1.03982i	0.885299	−	0.465021i
$6$	−0.809017	+	0.587785i	−0.330280	+	0.239962i
$7$		−	0.329315i		−	0.124469i	−0.998062	−	0.0622347i	$-0.980177\pi$
$7$		−	0.329315i		−	0.124469i	0.998062	−	0.0622347i	$-0.0198227\pi$
$8$	0.587785	+	0.809017i	0.207813	+	0.286031i
$9$	−0.309017	−	0.951057i	−0.103006	−	0.317019i
$10$	2.20402	−	0.377200i	0.696973	−	0.119281i
$11$	−1.55540	+	4.78704i	−0.468972	+	1.44335i	0.384946	+	0.922939i	$0.374220\pi$
$11$	−1.55540	+	4.78704i	−0.468972	+	1.44335i	−0.853918	+	0.520408i	$0.825780\pi$
$12$	−0.951057	+	0.309017i	−0.274546	+	0.0892055i
$13$	−0.458554	+	0.148993i	−0.127180	+	0.0413233i	−0.371915	−	0.928267i	$-0.621299\pi$
$13$	−0.458554	+	0.148993i	−0.127180	+	0.0413233i	0.244735	+	0.969590i	$0.421299\pi$
$14$	0.101764	−	0.313197i	0.0271975	−	0.0837054i
$15$	−0.322342	+	2.21271i	−0.0832283	+	0.571320i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−3.98877	−	5.49007i	−0.967418	−	1.33154i	−0.943340	−	0.331827i	$-0.892335\pi$
$17$	−3.98877	−	5.49007i	−0.967418	−	1.33154i	−0.0240779	−	0.999710i	$-0.507665\pi$
$18$		−	1.00000i		−	0.235702i
$19$	4.40115	−	3.19762i	1.00969	−	0.733585i	0.0455487	−	0.998962i	$-0.485496\pi$
$19$	4.40115	−	3.19762i	1.00969	−	0.733585i	0.964145	+	0.265377i	$0.0854964\pi$
$20$	2.21271	+	0.322342i	0.494778	+	0.0720778i
$21$	0.266421	+	0.193566i	0.0581379	+	0.0422397i
$22$	−2.95855	+	4.07210i	−0.630766	+	0.868175i
$23$	−6.18239	−	2.00878i	−1.28912	−	0.418860i	−0.417335	−	0.908753i	$-0.637036\pi$
$23$	−6.18239	−	2.00878i	−1.28912	−	0.418860i	−0.871783	+	0.489893i	$0.837036\pi$
$24$	−1.00000			−0.204124
$25$	2.83755	−	4.11683i	0.567510	−	0.823366i
$26$	−0.482152			−0.0945578
$27$	0.951057	+	0.309017i	0.183031	+	0.0594703i
$28$	0.193566	−	0.266421i	0.0365806	−	0.0503489i
$29$	−4.87203	−	3.53974i	−0.904714	−	0.657313i	0.0349585	−	0.999389i	$-0.488870\pi$
$29$	−4.87203	−	3.53974i	−0.904714	−	0.657313i	−0.939672	+	0.342076i	$0.888870\pi$
$30$	−0.990331	+	2.00481i	−0.180809	+	0.366026i
$31$	−1.06685	+	0.775108i	−0.191611	+	0.139214i	−0.679455	−	0.733717i	$-0.737784\pi$
$31$	−1.06685	+	0.775108i	−0.191611	+	0.139214i	0.487844	+	0.872931i	$0.337784\pi$
$32$			1.00000i			0.176777i
$33$	−2.95855	−	4.07210i	−0.515018	−	0.708862i
$34$	−2.09702	−	6.45396i	−0.359636	−	1.10685i
$35$	−0.342428	−	0.651908i	−0.0578809	−	0.110193i
$36$	0.309017	−	0.951057i	0.0515028	−	0.158509i
$37$	−0.741956	+	0.241076i	−0.121977	+	0.0396327i	−0.369369	−	0.929283i	$-0.620426\pi$
$37$	−0.741956	+	0.241076i	−0.121977	+	0.0396327i	0.247393	+	0.968915i	$0.420426\pi$
$38$	5.17386	−	1.68109i	0.839312	−	0.272709i
$39$	0.148993	−	0.458554i	0.0238580	−	0.0734274i
$40$	2.00481	+	0.990331i	0.316988	+	0.156585i
$41$	3.86905	+	11.9077i	0.604245	+	1.85967i	0.501901	+	0.864925i	$0.332634\pi$
$41$	3.86905	+	11.9077i	0.604245	+	1.85967i	0.102344	+	0.994749i	$0.467366\pi$
$42$	0.193566	+	0.266421i	0.0298680	+	0.0411097i
$43$			2.47582i			0.377559i	0.982020	+	0.188779i	$0.0604531\pi$
$43$			2.47582i			0.377559i	−0.982020	+	0.188779i	$0.939547\pi$
$44$	−4.07210	+	2.95855i	−0.613892	+	0.446019i
$45$	−1.60065	−	1.56138i	−0.238611	−	0.232757i
$46$	−5.25906	−	3.82093i	−0.775405	−	0.563365i
$47$	−2.57473	+	3.54381i	−0.375563	+	0.516918i	−0.954402	−	0.298523i	$-0.903506\pi$
$47$	−2.57473	+	3.54381i	−0.375563	+	0.516918i	0.578839	+	0.815442i	$0.303506\pi$
$48$	−0.951057	−	0.309017i	−0.137273	−	0.0446028i
$49$	6.89155			0.984507
$50$	3.97084	−	3.03849i	0.561562	−	0.429707i
$51$	6.78610			0.950244
$52$	−0.458554	−	0.148993i	−0.0635900	−	0.0206616i
$53$	0.990953	−	1.36393i	0.136118	−	0.187350i	−0.735516	−	0.677507i	$-0.763060\pi$
$53$	0.990953	−	1.36393i	0.136118	−	0.187350i	0.871634	+	0.490157i	$0.163060\pi$
$54$	0.809017	+	0.587785i	0.110093	+	0.0799874i
$55$	1.89860	+	11.0937i	0.256007	+	1.49588i
$56$	0.266421	−	0.193566i	0.0356021	−	0.0258664i
$57$			5.44012i			0.720562i
$58$	−3.53974	−	4.87203i	−0.464791	−	0.639729i
$59$	−0.313909	−	0.966113i	−0.0408675	−	0.125777i	0.928541	−	0.371229i	$-0.121064\pi$
$59$	−0.313909	−	0.966113i	−0.0408675	−	0.125777i	−0.969409	+	0.245452i	$0.921064\pi$
$60$	−1.56138	+	1.60065i	−0.201573	+	0.206644i
$61$	1.29419	−	3.98310i	0.165704	−	0.509984i	−0.833384	−	0.552695i	$-0.813599\pi$
$61$	1.29419	−	3.98310i	0.165704	−	0.509984i	0.999087	+	0.0427111i	$0.0135995\pi$
$62$	−1.25415	+	0.407499i	−0.159277	+	0.0517524i
$63$	−0.313197	+	0.101764i	−0.0394591	+	0.0128210i
$64$	−0.309017	+	0.951057i	−0.0386271	+	0.118882i
$65$	−0.752823	+	0.771759i	−0.0933762	+	0.0957249i
$66$	−1.55540	−	4.78704i	−0.191457	−	0.589244i
$67$	−1.84819	−	2.54381i	−0.225792	−	0.310776i	0.681058	−	0.732230i	$-0.261520\pi$
$67$	−1.84819	−	2.54381i	−0.225792	−	0.310776i	−0.906850	+	0.421453i	$0.861520\pi$
$68$		−	6.78610i		−	0.822935i
$69$	5.25906	−	3.82093i	0.633116	−	0.459986i
$70$	−0.124218	−	0.725818i	−0.0148469	−	0.0867518i
$71$	−4.62101	−	3.35736i	−0.548413	−	0.398446i	0.278787	−	0.960353i	$-0.410068\pi$
$71$	−4.62101	−	3.35736i	−0.548413	−	0.398446i	−0.827200	+	0.561907i	$0.810068\pi$
$72$	0.587785	−	0.809017i	0.0692712	−	0.0953436i
$73$	−2.79866	−	0.909340i	−0.327558	−	0.106430i	0.140621	−	0.990063i	$-0.455090\pi$
$73$	−2.79866	−	0.909340i	−0.327558	−	0.106430i	−0.468180	+	0.883633i	$0.655090\pi$
$74$	−0.780139			−0.0906893
$75$	1.66272	+	4.71544i	0.191994	+	0.544492i
$76$	5.44012			0.624025
$77$	1.57644	+	0.512218i	0.179652	+	0.0583726i
$78$	0.283402	−	0.390069i	0.0320890	−	0.0441667i
$79$	6.86459	+	4.98742i	0.772327	+	0.561128i	0.902666	−	0.430341i	$-0.141607\pi$
$79$	6.86459	+	4.98742i	0.772327	+	0.561128i	−0.130339	+	0.991469i	$0.541607\pi$
$80$	1.60065	+	1.56138i	0.178959	+	0.174568i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$			12.5205i			1.38266i
$83$	10.1073	+	13.9114i	1.10942	+	1.52698i	0.822274	+	0.569092i	$0.192705\pi$
$83$	10.1073	+	13.9114i	1.10942	+	1.52698i	0.287142	+	0.957888i	$0.407295\pi$
$84$	0.101764	+	0.313197i	0.0111034	+	0.0341726i
$85$	−13.6048	−	6.72048i	−1.47565	−	0.728939i
$86$	−0.765070	+	2.35464i	−0.0824996	+	0.253908i
$87$	5.72742	−	1.86095i	0.614044	−	0.199515i
$88$	−4.78704	+	1.55540i	−0.510300	+	0.165807i
$89$	−1.06683	+	3.28336i	−0.113084	+	0.348036i	−0.991543	−	0.129782i	$-0.958572\pi$
$89$	−1.06683	+	3.28336i	−0.113084	+	0.348036i	0.878459	+	0.477818i	$0.158572\pi$
$90$	−1.03982	−	1.97959i	−0.109607	−	0.208667i
$91$	0.0490657	+	0.151009i	0.00514348	+	0.0158300i
$92$	−3.82093	−	5.25906i	−0.398359	−	0.548294i
$93$		−	1.31869i		−	0.136742i
$94$	−3.54381	+	2.57473i	−0.365517	+	0.265563i
$95$	5.38752	−	10.9064i	0.552748	−	1.11897i
$96$	−0.809017	−	0.587785i	−0.0825700	−	0.0599906i
$97$	−5.58986	+	7.69378i	−0.567564	+	0.781185i	−0.992264	−	0.124149i	$-0.960380\pi$
$97$	−5.58986	+	7.69378i	−0.567564	+	0.781185i	0.424699	+	0.905334i	$0.360380\pi$
$98$	6.55426	+	2.12961i	0.662080	+	0.215123i
$99$	5.03339			0.505875
$100$	4.71544	−	1.66272i	0.471544	−	0.166272i
$101$	19.2435			1.91480			0.957400	−	0.288765i	$-0.0932447\pi$
$101$	19.2435			1.91480			0.957400	+	0.288765i	$0.0932447\pi$
$102$	6.45396	+	2.09702i	0.639037	+	0.207636i
$103$	−3.00175	+	4.13156i	−0.295771	+	0.407095i	−0.930878	−	0.365330i	$-0.880956\pi$
$103$	−3.00175	+	4.13156i	−0.295771	+	0.407095i	0.635107	+	0.772424i	$0.280956\pi$
$104$	−0.390069	−	0.283402i	−0.0382494	−	0.0277898i
$105$	0.728679	+	0.106152i	0.0711118	+	0.0103594i
$106$	1.36393	−	0.990953i	0.132477	−	0.0962499i
$107$		−	15.3340i		−	1.48239i	−0.671290	−	0.741194i	$-0.734260\pi$
$107$		−	15.3340i		−	1.48239i	0.671290	−	0.741194i	$-0.265740\pi$
$108$	0.587785	+	0.809017i	0.0565597	+	0.0778477i
$109$	3.01609	+	9.28257i	0.288889	+	0.889109i	0.985206	+	0.171375i	$0.0548208\pi$
$109$	3.01609	+	9.28257i	0.288889	+	0.889109i	−0.696317	+	0.717735i	$0.745179\pi$
$110$	−1.62247	+	11.1374i	−0.154697	+	1.06191i
$111$	0.241076	−	0.741956i	0.0228819	−	0.0704233i
$112$	0.313197	−	0.101764i	0.0295943	−	0.00961579i
$113$	1.44148	−	0.468364i	0.135603	−	0.0440599i	−0.240429	−	0.970667i	$-0.577288\pi$
$113$	1.44148	−	0.468364i	0.135603	−	0.0440599i	0.376032	+	0.926607i	$0.377288\pi$
$114$	−1.68109	+	5.17386i	−0.157449	+	0.484577i
$115$	−14.3274	+	2.45201i	−1.33603	+	0.228651i
$116$	−1.86095	−	5.72742i	−0.172785	−	0.531778i
$117$	0.283402	+	0.390069i	0.0262005	+	0.0360619i
$118$		−	1.01583i		−	0.0935149i
$119$	−1.80796	+	1.31356i	−0.165736	+	0.120414i
$120$	−1.97959	+	1.03982i	−0.180711	+	0.0949221i
$121$	−11.5973	−	8.42593i	−1.05430	−	0.765993i
$122$	2.46169	−	3.38823i	0.222871	−	0.306756i
$123$	−11.9077	−	3.86905i	−1.07368	−	0.348861i
$124$	−1.31869			−0.118422
$125$	1.33642	−	11.1002i	0.119533	−	0.992830i
$126$	−0.329315			−0.0293377
$127$	11.9886	+	3.89534i	1.06382	+	0.345656i	0.788077	−	0.615576i	$-0.211077\pi$
$127$	11.9886	+	3.89534i	1.06382	+	0.345656i	0.275741	+	0.961232i	$0.411077\pi$
$128$	−0.587785	+	0.809017i	−0.0519534	+	0.0715077i
$129$	−2.00298	−	1.45525i	−0.176352	−	0.128128i
$130$	−0.954463	+	0.501351i	−0.0837120	+	0.0439714i
$131$	−11.3715	+	8.26187i	−0.993532	+	0.721843i	−0.960692	−	0.277618i	$-0.910455\pi$
$131$	−11.3715	+	8.26187i	−0.993532	+	0.721843i	−0.0328399	+	0.999461i	$0.510455\pi$
$132$		−	5.03339i		−	0.438101i
$133$	−1.05303	−	1.44936i	−0.0913089	−	0.125676i
$134$	−0.971651	−	2.99043i	−0.0839378	−	0.258334i
$135$	2.20402	−	0.377200i	0.189692	−	0.0324642i
$136$	2.09702	−	6.45396i	0.179818	−	0.553423i
$137$	6.36127	−	2.06690i	0.543480	−	0.176587i	−0.0243949	−	0.999702i	$-0.507766\pi$
$137$	6.36127	−	2.06690i	0.543480	−	0.176587i	0.567874	+	0.823115i	$0.307766\pi$
$138$	6.18239	−	2.00878i	0.526280	−	0.170999i
$139$	0.951151	−	2.92734i	0.0806755	−	0.248294i	−0.902581	−	0.430520i	$-0.858330\pi$
$139$	0.951151	−	2.92734i	0.0806755	−	0.248294i	0.983257	+	0.182226i	$0.0583303\pi$
$140$	0.106152	−	0.728679i	0.00897148	−	0.0615846i
$141$	−1.35362	−	4.16600i	−0.113995	−	0.350841i
$142$	−3.35736	−	4.62101i	−0.281744	−	0.387787i
$143$		−	2.42686i		−	0.202944i
$144$	0.809017	−	0.587785i	0.0674181	−	0.0489821i
$145$	−13.3253	−	1.94120i	−1.10661	−	0.161208i
$146$	−2.38068	−	1.72967i	−0.197027	−	0.143148i
$147$	−4.05075	+	5.57538i	−0.334100	+	0.459850i
$148$	−0.741956	−	0.241076i	−0.0609884	−	0.0198163i
$149$	−5.06465			−0.414912			−0.207456	−	0.978244i	$-0.566518\pi$
$149$	−5.06465			−0.414912			−0.207456	+	0.978244i	$0.566518\pi$
$150$	0.124187	+	4.99846i	0.0101398	+	0.408122i
$151$	−16.9581			−1.38003			−0.690015	−	0.723795i	$-0.742396\pi$
$151$	−16.9581			−1.38003			−0.690015	+	0.723795i	$0.742396\pi$
$152$	5.17386	+	1.68109i	0.419656	+	0.136354i
$153$	−3.98877	+	5.49007i	−0.322473	+	0.443846i
$154$	1.34100	+	0.974296i	0.108061	+	0.0785110i
$155$	−1.30594	+	2.64372i	−0.104896	+	0.212349i
$156$	0.390069	−	0.283402i	0.0312305	−	0.0226903i
$157$		−	22.8284i		−	1.82190i	−0.412513	−	0.910952i	$-0.635349\pi$
$157$		−	22.8284i		−	1.82190i	0.412513	−	0.910952i	$-0.364651\pi$
$158$	4.98742	+	6.86459i	0.396778	+	0.546118i
$159$	0.520975	+	1.60340i	0.0413160	+	0.127158i
$160$	1.03982	+	1.97959i	0.0822050	+	0.156500i
$161$	−0.661521	+	2.03595i	−0.0521352	+	0.160456i
$162$	−0.951057	+	0.309017i	−0.0747221	+	0.0242787i
$163$	7.56873	−	2.45923i	0.592829	−	0.192622i	0.00278919	−	0.999996i	$-0.499112\pi$
$163$	7.56873	−	2.45923i	0.592829	−	0.192622i	0.590039	+	0.807374i	$0.299112\pi$
$164$	−3.86905	+	11.9077i	−0.302122	+	0.929837i
$165$	−10.0910	−	4.98472i	−0.785581	−	0.388060i
$166$	5.31370	+	16.3539i	0.412423	+	1.26931i
$167$	−8.19979	−	11.2860i	−0.634519	−	0.873340i	0.363790	−	0.931481i	$-0.381483\pi$
$167$	−8.19979	−	11.2860i	−0.634519	−	0.873340i	−0.998308	+	0.0581411i	$0.981483\pi$
$168$			0.329315i			0.0254072i
$169$	−10.3291	+	7.50457i	−0.794550	+	0.577274i
$170$	−10.8622	−	10.5957i	−0.833092	−	0.812651i
$171$	−4.40115	−	3.19762i	−0.336564	−	0.244528i
$172$	−1.45525	+	2.00298i	−0.110962	+	0.152726i
$173$	18.5464	+	6.02610i	1.41006	+	0.458156i	0.912430	−	0.409234i	$-0.134204\pi$
$173$	18.5464	+	6.02610i	1.41006	+	0.458156i	0.497629	+	0.867390i	$0.334204\pi$
$174$	6.02216			0.456539
$175$	−1.35573	−	0.934448i	−0.102484	−	0.0706376i
$176$	−5.03339			−0.379406
$177$	0.966113	+	0.313909i	0.0726175	+	0.0235949i
$178$	−2.02923	+	2.79299i	−0.152097	+	0.209344i
$179$	−15.3641	−	11.1627i	−1.14837	−	0.834338i	−0.160105	−	0.987100i	$-0.551183\pi$
$179$	−15.3641	−	11.1627i	−1.14837	−	0.834338i	−0.988263	+	0.152761i	$0.951183\pi$
$180$	−0.377200	−	2.20402i	−0.0281149	−	0.164278i
$181$	15.3296	−	11.1376i	1.13944	−	0.827850i	0.152397	−	0.988319i	$-0.451301\pi$
$181$	15.3296	−	11.1376i	1.13944	−	0.827850i	0.987041	+	0.160470i	$0.0513008\pi$
$182$			0.158780i			0.0117695i
$183$	2.46169	+	3.38823i	0.181973	+	0.250465i
$184$	−2.00878	−	6.18239i	−0.148089	−	0.455772i
$185$	−1.21809	+	1.24873i	−0.0895559	+	0.0918086i
$186$	0.407499	−	1.25415i	0.0298793	−	0.0919589i
$187$	32.4853	−	10.5551i	2.37556	−	0.771867i
$188$	−4.16600	+	1.35362i	−0.303837	+	0.0987226i
$189$	0.101764	−	0.313197i	0.00740223	−	0.0227817i
$190$	8.49410	−	8.70775i	0.616227	−	0.631727i
$191$	−3.73703	−	11.5014i	−0.270402	−	0.832212i	−0.990399	−	0.138235i	$-0.955857\pi$
$191$	−3.73703	−	11.5014i	−0.270402	−	0.832212i	0.719997	−	0.693977i	$-0.244143\pi$
$192$	−0.587785	−	0.809017i	−0.0424197	−	0.0583858i
$193$			11.0357i			0.794368i	0.917739	+	0.397184i	$0.130013\pi$
$193$			11.0357i			0.794368i	−0.917739	+	0.397184i	$0.869987\pi$
$194$	−7.69378	+	5.58986i	−0.552381	+	0.401329i
$195$	−0.181868	−	1.06267i	−0.0130238	−	0.0760997i
$196$	5.57538	+	4.05075i	0.398242	+	0.289339i
$197$	−12.1208	+	16.6829i	−0.863573	+	1.18861i	0.117133	+	0.993116i	$0.462630\pi$
$197$	−12.1208	+	16.6829i	−0.863573	+	1.18861i	−0.980706	+	0.195490i	$0.937370\pi$
$198$	4.78704	+	1.55540i	0.340200	+	0.110538i
$199$	−18.5313			−1.31365			−0.656826	−	0.754042i	$-0.728101\pi$
$199$	−18.5313			−1.31365			−0.656826	+	0.754042i	$0.728101\pi$
$200$	4.99846	−	0.124187i	0.353444	−	0.00878136i
$201$	3.14433			0.221784
$202$	18.3017	+	5.94657i	1.28770	+	0.418399i
$203$	−1.16569	+	1.60443i	−0.0818153	+	0.112609i
$204$	5.49007	+	3.98877i	0.384382	+	0.279270i
$205$	20.0410	+	19.5493i	1.39973	+	1.36538i
$206$	−4.13156	+	3.00175i	−0.287859	+	0.209142i
$207$			6.50055i			0.451819i
$208$	−0.283402	−	0.390069i	−0.0196504	−	0.0270464i
$209$	8.46159	+	26.0421i	0.585300	+	1.80137i
$210$	0.660212	+	0.326131i	0.0455590	+	0.0225052i
$211$	4.87129	−	14.9923i	0.335353	−	1.03211i	−0.631194	−	0.775625i	$-0.717435\pi$
$211$	4.87129	−	14.9923i	0.335353	−	1.03211i	0.966548	−	0.256487i	$-0.0825650\pi$
$212$	1.60340	−	0.520975i	0.110122	−	0.0357807i
$213$	5.43233	−	1.76507i	0.372217	−	0.120941i
$214$	4.73845	−	14.5835i	0.323914	−	0.996904i
$215$	2.57440	+	4.90110i	0.175573	+	0.334253i
$216$	0.309017	+	0.951057i	0.0210259	+	0.0647112i
$217$	0.255255	+	0.351328i	0.0173278	+	0.0238497i
$218$			9.76027i			0.661049i
$219$	2.38068	−	1.72967i	0.160872	−	0.116880i
$220$	−4.98472	+	10.0910i	−0.336070	+	0.680333i
$221$	2.64705	+	1.92319i	0.178060	+	0.129368i
$222$	0.458554	−	0.631145i	0.0307761	−	0.0423597i
$223$	21.0928	+	6.85345i	1.41248	+	0.458941i	0.913203	−	0.407504i	$-0.133601\pi$
$223$	21.0928	+	6.85345i	1.41248	+	0.458941i	0.499272	+	0.866445i	$0.333601\pi$
$224$	0.329315			0.0220033
$225$	−4.79219	−	1.42650i	−0.319479	−	0.0951000i
$226$	1.51566			0.100820
$227$	10.5538	+	3.42913i	0.700480	+	0.227600i	0.637539	−	0.770418i	$-0.279952\pi$
$227$	10.5538	+	3.42913i	0.700480	+	0.227600i	0.0629401	+	0.998017i	$0.479952\pi$
$228$	−3.19762	+	4.40115i	−0.211768	+	0.291473i
$229$	1.45525	+	1.05730i	0.0961658	+	0.0698685i	0.634829	−	0.772653i	$-0.281071\pi$
$229$	1.45525	+	1.05730i	0.0961658	+	0.0698685i	−0.538663	+	0.842521i	$0.681071\pi$
$230$	−14.3838	−	2.09540i	−0.948443	−	0.138167i
$231$	−1.34100	+	0.974296i	−0.0882315	+	0.0641040i
$232$		−	6.02216i		−	0.395374i
$233$	2.17821	+	2.99805i	0.142699	+	0.196409i	0.874384	−	0.485234i	$-0.161266\pi$
$233$	2.17821	+	2.99805i	0.142699	+	0.196409i	−0.731685	+	0.681643i	$0.761266\pi$
$234$	0.148993	+	0.458554i	0.00973999	+	0.0299766i
$235$	−1.41198	+	9.69255i	−0.0921077	+	0.632273i
$236$	0.313909	−	0.966113i	0.0204338	−	0.0628886i
$237$	−8.06981	+	2.62204i	−0.524191	+	0.170320i
$238$	−2.12539	+	0.690580i	−0.137768	+	0.0447636i
$239$	5.21415	−	16.0475i	0.337275	−	1.03803i	−0.628315	−	0.777959i	$-0.716255\pi$
$239$	5.21415	−	16.0475i	0.337275	−	1.03803i	0.965590	−	0.260068i	$-0.0837449\pi$
$240$	−2.20402	+	0.377200i	−0.142269	+	0.0243482i
$241$	6.37366	+	19.6161i	0.410564	+	1.26359i	0.916159	+	0.400815i	$0.131273\pi$
$241$	6.37366	+	19.6161i	0.410564	+	1.26359i	−0.505595	+	0.862771i	$0.668727\pi$
$242$	−8.42593	−	11.5973i	−0.541639	−	0.745502i
$243$		−	1.00000i		−	0.0641500i
$244$	3.38823	−	2.46169i	0.216909	−	0.157594i
$245$	13.6424	−	7.16597i	0.871584	−	0.457817i
$246$	−10.1293	−	7.35938i	−0.645822	−	0.469217i
$247$	−1.54174	+	2.12202i	−0.0980986	+	0.135021i
$248$	−1.25415	−	0.407499i	−0.0796387	−	0.0258762i
$249$	−17.1955			−1.08972
$250$	4.70116	−	10.1439i	0.297327	−	0.641558i
$251$	8.69615			0.548896			0.274448	−	0.961602i	$-0.411505\pi$
$251$	8.69615			0.548896			0.274448	+	0.961602i	$0.411505\pi$
$252$	−0.313197	−	0.101764i	−0.0197296	−	0.00641052i
$253$	19.2322	−	26.4709i	1.20912	−	1.66421i
$254$	10.1981	+	7.40938i	0.639888	+	0.464906i
$255$	13.4337	−	7.05632i	0.841250	−	0.441884i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$			7.10714i			0.443331i	0.975123	+	0.221666i	$0.0711493\pi$
$257$			7.10714i			0.443331i	−0.975123	+	0.221666i	$0.928851\pi$
$258$	−1.45525	−	2.00298i	−0.0905999	−	0.124700i
$259$	0.0793900	+	0.244337i	0.00493305	+	0.0151824i
$260$	−1.06267	+	0.181868i	−0.0659043	+	0.0112790i
$261$	−1.86095	+	5.72742i	−0.115190	+	0.354518i
$262$	−13.3680	+	4.34352i	−0.825877	+	0.268344i
$263$	−15.0847	+	4.90130i	−0.930160	+	0.302227i	−0.734628	−	0.678470i	$-0.762643\pi$
$263$	−15.0847	+	4.90130i	−0.930160	+	0.302227i	−0.195532	+	0.980697i	$0.562643\pi$
$264$	1.55540	−	4.78704i	0.0957285	−	0.294622i
$265$	0.543439	−	3.73044i	0.0333832	−	0.229159i
$266$	−0.553608	−	1.70383i	−0.0339439	−	0.104469i
$267$	−2.02923	−	2.79299i	−0.124187	−	0.170928i
$268$		−	3.14433i		−	0.192070i
$269$	3.65623	−	2.65641i	0.222925	−	0.161964i	−0.470718	−	0.882284i	$-0.656005\pi$
$269$	3.65623	−	2.65641i	0.222925	−	0.161964i	0.693642	+	0.720320i	$0.256005\pi$
$270$	2.21271	+	0.322342i	0.134661	+	0.0196171i
$271$	−9.00551	−	6.54289i	−0.547046	−	0.397452i	0.279649	−	0.960102i	$-0.409782\pi$
$271$	−9.00551	−	6.54289i	−0.547046	−	0.397452i	−0.826695	+	0.562650i	$0.809782\pi$
$272$	3.98877	−	5.49007i	0.241855	−	0.332884i
$273$	−0.151009	−	0.0490657i	−0.00913946	−	0.00296959i
$274$	6.68863			0.404075
$275$	15.2939	+	19.9868i	0.922257	+	1.20525i
$276$	6.50055			0.391287
$277$	−21.7162	−	7.05603i	−1.30480	−	0.423956i	−0.427552	−	0.903991i	$-0.640624\pi$
$277$	−21.7162	−	7.05603i	−1.30480	−	0.423956i	−0.877249	+	0.480035i	$0.840624\pi$
$278$	1.80920	−	2.49014i	0.108508	−	0.149349i
$279$	1.06685	+	0.775108i	0.0638704	+	0.0464045i
$280$	0.326131	−	0.660212i	0.0194900	−	0.0394552i
$281$	−23.2631	+	16.9016i	−1.38776	+	1.00827i	−0.391653	+	0.920113i	$0.628097\pi$
$281$	−23.2631	+	16.9016i	−1.38776	+	1.00827i	−0.996107	+	0.0881540i	$0.971903\pi$
$282$		−	4.38040i		−	0.260849i
$283$	−11.3720	−	15.6522i	−0.675992	−	0.930424i	0.323885	−	0.946097i	$-0.395011\pi$
$283$	−11.3720	−	15.6522i	−0.675992	−	0.930424i	−0.999877	+	0.0156727i	$0.995011\pi$
$284$	−1.76507	−	5.43233i	−0.104738	−	0.322349i
$285$	5.65675	+	10.7692i	0.335077	+	0.637913i
$286$	0.749941	−	2.30808i	0.0443450	−	0.136480i
$287$	3.92139	−	1.27414i	0.231472	−	0.0752100i
$288$	0.951057	−	0.309017i	0.0560415	−	0.0182090i
$289$	−8.97729	+	27.6292i	−0.528076	+	1.62525i
$290$	−12.0733	−	5.96394i	−0.708967	−	0.350214i
$291$	−2.93876	−	9.04458i	−0.172273	−	0.530203i
$292$	−1.72967	−	2.38068i	−0.101221	−	0.139319i
$293$		−	15.0301i		−	0.878069i	−0.898470	−	0.439035i	$-0.855321\pi$
$293$		−	15.0301i		−	0.878069i	0.898470	−	0.439035i	$-0.144679\pi$
$294$	−5.57538	+	4.05075i	−0.325163	+	0.236245i
$295$	−1.62600	−	1.58610i	−0.0946691	−	0.0923463i
$296$	−0.631145	−	0.458554i	−0.0366846	−	0.0266529i
$297$	−2.95855	+	4.07210i	−0.171673	+	0.236287i
$298$	−4.81677	−	1.56506i	−0.279028	−	0.0906617i
$299$	3.13425			0.181259
$300$	−1.42650	+	4.79219i	−0.0823590	+	0.276677i
$301$	0.815324			0.0469945
$302$	−16.1281	−	5.24034i	−0.928069	−	0.301548i
$303$	−11.3110	+	15.5683i	−0.649803	+	0.894377i
$304$	4.40115	+	3.19762i	0.252423	+	0.183396i
$305$	−1.57975	−	9.23063i	−0.0904560	−	0.528544i
$306$	−5.49007	+	3.98877i	−0.313846	+	0.228023i
$307$			19.7061i			1.12468i	0.826905	+	0.562342i	$0.190100\pi$
$307$			19.7061i			1.12468i	−0.826905	+	0.562342i	$0.809900\pi$
$308$	0.974296	+	1.34100i	0.0555157	+	0.0764108i
$309$	−1.57811	−	4.85694i	−0.0897758	−	0.276302i
$310$	−2.05898	+	2.11077i	−0.116942	+	0.119884i
$311$	8.72642	−	26.8572i	0.494830	−	1.52293i	−0.322392	−	0.946606i	$-0.604487\pi$
$311$	8.72642	−	26.8572i	0.494830	−	1.52293i	0.817222	−	0.576323i	$-0.195513\pi$
$312$	0.458554	−	0.148993i	0.0259605	−	0.00843508i
$313$	−10.6973	+	3.47577i	−0.604648	+	0.196462i	−0.595312	−	0.803494i	$-0.702972\pi$
$313$	−10.6973	+	3.47577i	−0.604648	+	0.196462i	−0.00933550	+	0.999956i	$0.502972\pi$
$314$	7.05436	−	21.7111i	0.398101	−	1.22523i
$315$	−0.514186	+	0.527119i	−0.0289711	+	0.0296998i
$316$	2.62204	+	8.06981i	0.147501	+	0.453962i
$317$	13.6905	+	18.8433i	0.768935	+	1.05835i	0.996418	+	0.0845658i	$0.0269503\pi$
$317$	13.6905	+	18.8433i	0.768935	+	1.05835i	−0.227483	+	0.973782i	$0.573050\pi$
$318$			1.68591i			0.0945412i
$319$	24.5229	−	17.8169i	1.37302	−	0.997555i
$320$	0.377200	+	2.20402i	0.0210861	+	0.123209i
$321$	12.4054	+	9.01307i	0.692403	+	0.503060i
$322$	−1.25829	+	1.73189i	−0.0701217	+	0.0965142i
$323$	−35.1103	−	11.4080i	−1.95359	−	0.634760i
$324$	−1.00000			−0.0555556
$325$	−0.687790	+	2.31057i	−0.0381517	+	0.128167i
$326$	7.95823			0.440766
$327$	−9.28257	−	3.01609i	−0.513327	−	0.166790i
$328$	−7.35938	+	10.1293i	−0.406354	+	0.559298i
$329$	1.16703	+	0.847898i	0.0643405	+	0.0467461i
$330$	−8.05672	−	7.85904i	−0.443508	−	0.432626i
$331$	−0.104633	+	0.0760205i	−0.00575116	+	0.00417847i	−0.590657	−	0.806923i	$-0.701131\pi$
$331$	−0.104633	+	0.0760205i	−0.00575116	+	0.00417847i	0.584906	+	0.811101i	$0.301131\pi$
$332$			17.1955i			0.943725i
$333$	0.458554	+	0.631145i	0.0251286	+	0.0345866i
$334$	−4.31088	−	13.2675i	−0.235881	−	0.725967i
$335$	−6.30376	−	3.11392i	−0.344411	−	0.170132i
$336$	−0.101764	+	0.313197i	−0.00555168	+	0.0170863i
$337$	−0.511734	+	0.166272i	−0.0278759	+	0.00905743i	−0.322922	−	0.946426i	$-0.604665\pi$
$337$	−0.511734	+	0.166272i	−0.0278759	+	0.00905743i	0.295046	+	0.955483i	$0.404665\pi$
$338$	−12.1426	+	3.94538i	−0.660473	+	0.214601i
$339$	−0.468364	+	1.44148i	−0.0254380	+	0.0782902i
$340$	−7.05632	−	13.4337i	−0.382683	−	0.728544i
$341$	−2.05110	−	6.31264i	−0.111073	−	0.341849i
$342$	−3.19762	−	4.40115i	−0.172908	−	0.237987i
$343$		−	4.57470i		−	0.247010i
$344$	−2.00298	+	1.45525i	−0.107993	+	0.0784618i
$345$	6.43770	−	13.0323i	0.346594	−	0.701637i
$346$	15.7765	+	11.4623i	0.848152	+	0.616218i
$347$	−13.3519	+	18.3773i	−0.716767	+	0.986546i	0.282858	+	0.959162i	$0.408718\pi$
$347$	−13.3519	+	18.3773i	−0.716767	+	0.986546i	−0.999625	+	0.0273838i	$0.991282\pi$
$348$	5.72742	+	1.86095i	0.307022	+	0.0997575i
$349$	−6.84350			−0.366324			−0.183162	−	0.983083i	$-0.558633\pi$
$349$	−6.84350			−0.366324			−0.183162	+	0.983083i	$0.558633\pi$
$350$	−1.00062	−	1.30766i	−0.0534854	−	0.0698972i
$351$	−0.482152			−0.0257354
$352$	−4.78704	−	1.55540i	−0.255150	−	0.0829033i
$353$	9.86237	−	13.5744i	0.524921	−	0.722492i	−0.461425	−	0.887179i	$-0.652662\pi$
$353$	9.86237	−	13.5744i	0.524921	−	0.722492i	0.986346	+	0.164688i	$0.0526616\pi$
$354$	0.821825	+	0.597091i	0.0436795	+	0.0317350i
$355$	−12.6388	−	1.84118i	−0.670796	−	0.0977197i
$356$	−2.79299	+	2.02923i	−0.148028	+	0.107549i
$357$		−	2.23476i		−	0.118276i
$358$	−11.1627	−	15.3641i	−0.589966	−	0.812019i
$359$	2.30639	+	7.09834i	0.121727	+	0.374636i	0.993291	−	0.115646i	$-0.0368937\pi$
$359$	2.30639	+	7.09834i	0.121727	+	0.374636i	−0.871564	+	0.490282i	$0.836894\pi$
$360$	0.322342	−	2.21271i	0.0169889	−	0.116620i
$361$	3.27401	−	10.0764i	0.172317	−	0.530336i
$362$	18.0210	−	5.85537i	0.947162	−	0.307752i
$363$	13.6334	−	4.42977i	0.715570	−	0.232503i
$364$	−0.0490657	+	0.151009i	−0.00257174	+	0.00791500i
$365$	−6.48575	+	1.10998i	−0.339480	+	0.0580991i
$366$	1.29419	+	3.98310i	0.0676483	+	0.208200i
$367$	−3.61766	−	4.97929i	−0.188841	−	0.259917i	0.704090	−	0.710110i	$-0.251355\pi$
$367$	−3.61766	−	4.97929i	−0.188841	−	0.259917i	−0.892931	+	0.450194i	$0.851355\pi$
$368$		−	6.50055i		−	0.338865i
$369$	10.1293	−	7.35938i	0.527311	−	0.383114i
$370$	−1.54435	+	0.811203i	−0.0802872	+	0.0421725i
$371$	−0.449163	−	0.326336i	−0.0233194	−	0.0169425i
$372$	0.775108	−	1.06685i	0.0401875	−	0.0553134i
$373$	8.72051	+	2.83346i	0.451531	+	0.146711i	0.525949	−	0.850516i	$-0.323710\pi$
$373$	8.72051	+	2.83346i	0.451531	+	0.146711i	−0.0744187	+	0.997227i	$0.523710\pi$
$374$	34.1571			1.76622
$375$	8.19470	+	7.60571i	0.423173	+	0.392757i
$376$	−4.38040			−0.225902
$377$	2.76149	+	0.897262i	0.142224	+	0.0462113i
$378$	0.193566	−	0.266421i	0.00995598	−	0.0137032i
$379$	−28.0179	−	20.3562i	−1.43918	−	1.04563i	−0.988212	−	0.153090i	$-0.951077\pi$
$379$	−28.0179	−	20.3562i	−1.43918	−	1.04563i	−0.450972	−	0.892538i	$-0.648923\pi$
$380$	10.7692	−	5.65675i	0.552449	−	0.290185i
$381$	−10.1981	+	7.40938i	−0.522466	+	0.379594i
$382$		−	12.0933i		−	0.618746i
$383$	−5.59597	−	7.70220i	−0.285941	−	0.393564i	0.641749	−	0.766914i	$-0.278209\pi$
$383$	−5.59597	−	7.70220i	−0.285941	−	0.393564i	−0.927690	+	0.373350i	$0.878209\pi$
$384$	−0.309017	−	0.951057i	−0.0157695	−	0.0485334i
$385$	3.65333	−	0.625237i	0.186191	−	0.0318650i
$386$	−3.41022	+	10.4956i	−0.173576	+	0.534211i
$387$	2.35464	−	0.765070i	0.119693	−	0.0388907i
$388$	−9.04458	+	2.93876i	−0.459169	+	0.149193i
$389$	5.39091	−	16.5915i	0.273330	−	0.841224i	−0.716326	−	0.697766i	$-0.754178\pi$
$389$	5.39091	−	16.5915i	0.273330	−	0.841224i	0.989656	−	0.143458i	$-0.0458223\pi$
$390$	0.155418	−	1.06686i	0.00786989	−	0.0540228i
$391$	13.6318	+	41.9543i	0.689389	+	2.12172i
$392$	4.05075	+	5.57538i	0.204594	+	0.281599i
$393$		−	14.0559i		−	0.709028i
$394$	−16.6829	+	12.1208i	−0.840471	+	0.610638i
$395$	18.7751	+	2.73510i	0.944677	+	0.137618i
$396$	4.07210	+	2.95855i	0.204631	+	0.148673i
$397$	−7.96751	+	10.9663i	−0.399878	+	0.550385i	−0.960713	−	0.277542i	$-0.910480\pi$
$397$	−7.96751	+	10.9663i	−0.399878	+	0.550385i	0.560835	+	0.827927i	$0.310480\pi$
$398$	−17.6244	−	5.72650i	−0.883429	−	0.287044i
$399$	1.79151			0.0896879
$400$	4.79219	+	1.42650i	0.239610	+	0.0713250i
$401$	14.1105			0.704642			0.352321	−	0.935879i	$-0.385392\pi$
$401$	14.1105			0.704642			0.352321	+	0.935879i	$0.385392\pi$
$402$	2.99043	+	0.971651i	0.149149	+	0.0484615i
$403$	0.373720	−	0.514382i	0.0186163	−	0.0256232i
$404$	15.5683	+	11.3110i	0.774553	+	0.562746i
$405$	−0.990331	+	2.00481i	−0.0492099	+	0.0996196i
$406$	−1.60443	+	1.16569i	−0.0796267	+	0.0578522i
$407$		−	3.92674i		−	0.194641i
$408$	3.98877	+	5.49007i	0.197473	+	0.271799i
$409$	5.11848	+	15.7531i	0.253092	+	0.778938i	0.994200	+	0.107552i	$0.0343011\pi$
$409$	5.11848	+	15.7531i	0.253092	+	0.778938i	−0.741107	+	0.671387i	$0.765699\pi$
$410$	13.0191	+	24.7855i	0.642967	+	1.22407i
$411$	−2.06690	+	6.36127i	−0.101953	+	0.313778i
$412$	−4.85694	+	1.57811i	−0.239284	+	0.0777481i
$413$	−0.318156	+	0.103375i	−0.0156554	+	0.00508675i
$414$	−2.00878	+	6.18239i	−0.0987262	+	0.303848i
$415$	34.4736	+	17.0292i	1.69224	+	0.835932i
$416$	−0.148993	−	0.458554i	−0.00730499	−	0.0224825i
$417$	1.80920	+	2.49014i	0.0885967	+	0.121943i
$418$			27.3823i			1.33931i
$419$	13.7294	−	9.97500i	0.670725	−	0.487310i	−0.199543	−	0.979889i	$-0.563946\pi$
$419$	13.7294	−	9.97500i	0.670725	−	0.487310i	0.870268	+	0.492579i	$0.163946\pi$
$420$	0.527119	+	0.514186i	0.0257208	+	0.0250897i
$421$	5.71360	+	4.15118i	0.278464	+	0.202316i	0.718247	−	0.695788i	$-0.244945\pi$
$421$	5.71360	+	4.15118i	0.278464	+	0.202316i	−0.439783	+	0.898104i	$0.644945\pi$
$422$	9.26574	−	12.7532i	0.451049	−	0.620816i
$423$	4.16600	+	1.35362i	0.202558	+	0.0658151i
$424$	1.68591			0.0818751
$425$	−33.9200	+	0.842746i	−1.64536	+	0.0408792i
$426$	5.71189			0.276742
$427$	−1.31169	−	0.426195i	−0.0634773	−	0.0206250i
$428$	9.01307	−	12.4054i	0.435663	−	0.599639i
$429$	1.96337	+	1.42647i	0.0947925	+	0.0688708i
$430$	0.933880	+	5.45676i	0.0450357	+	0.263148i
$431$	14.4476	−	10.4968i	0.695915	−	0.505612i	−0.182684	−	0.983172i	$-0.558479\pi$
$431$	14.4476	−	10.4968i	0.695915	−	0.505612i	0.878599	+	0.477560i	$0.158479\pi$
$432$			1.00000i			0.0481125i
$433$	−14.2125	−	19.5618i	−0.683007	−	0.940078i	0.316958	−	0.948440i	$-0.397339\pi$
$433$	−14.2125	−	19.5618i	−0.683007	−	0.940078i	−0.999965	+	0.00836116i	$0.997339\pi$
$434$	0.134195	+	0.413011i	0.00644158	+	0.0198252i
$435$	9.40289	−	9.63940i	0.450834	−	0.462174i
$436$	−3.01609	+	9.28257i	−0.144445	+	0.444555i
$437$	−33.6330	+	10.9280i	−1.60888	+	0.522758i
$438$	2.79866	−	0.909340i	0.133725	−	0.0434499i
$439$	5.84359	−	17.9847i	0.278899	−	0.858364i	−0.709262	−	0.704945i	$-0.750972\pi$
$439$	5.84359	−	17.9847i	0.278899	−	0.858364i	0.988161	−	0.153419i	$-0.0490284\pi$
$440$	−7.85904	+	8.05672i	−0.374665	+	0.384089i
$441$	−2.12961	−	6.55426i	−0.101410	−	0.312107i
$442$	1.92319	+	2.64705i	0.0914770	+	0.125907i
$443$		−	4.05769i		−	0.192787i	−0.995343	−	0.0963933i	$-0.969269\pi$
$443$		−	4.05769i		−	0.192787i	0.995343	−	0.0963933i	$-0.0307307\pi$
$444$	0.631145	−	0.458554i	0.0299528	−	0.0217620i
$445$	1.30222	+	7.60902i	0.0617312	+	0.360702i
$446$	17.9426	+	13.0360i	0.849605	+	0.617274i
$447$	2.97693	−	4.09739i	0.140804	−	0.193800i
$448$	0.313197	+	0.101764i	0.0147972	+	0.00480789i
$449$	6.26150			0.295498			0.147749	−	0.989025i	$-0.452797\pi$
$449$	6.26150			0.295498			0.147749	+	0.989025i	$0.452797\pi$
$450$	−4.11683	−	2.83755i	−0.194069	−	0.133763i
$451$	−63.0207			−2.96753
$452$	1.44148	+	0.468364i	0.0678013	+	0.0220300i
$453$	9.96772	−	13.7194i	0.468325	−	0.644593i
$454$	8.97759	+	6.52260i	0.421339	+	0.306121i
$455$	0.254152	+	0.247916i	0.0119148	+	0.0116225i
$456$	−4.40115	+	3.19762i	−0.206103	+	0.149742i
$457$			1.94229i			0.0908564i	0.998968	+	0.0454282i	$0.0144652\pi$
$457$			1.94229i			0.0908564i	−0.998968	+	0.0454282i	$0.985535\pi$
$458$	1.05730	+	1.45525i	0.0494045	+	0.0679995i
$459$	−2.09702	−	6.45396i	−0.0978805	−	0.301245i
$460$	−13.0323	−	6.43770i	−0.607636	−	0.300159i
$461$	0.965342	−	2.97102i	0.0449605	−	0.138374i	−0.926056	−	0.377385i	$-0.876823\pi$
$461$	0.965342	−	2.97102i	0.0449605	−	0.138374i	0.971017	+	0.239011i	$0.0768233\pi$
$462$	−1.57644	+	0.512218i	−0.0733428	+	0.0238305i
$463$	−7.86182	+	2.55446i	−0.365370	+	0.118716i	−0.485947	−	0.873988i	$-0.661525\pi$
$463$	−7.86182	+	2.55446i	−0.365370	+	0.118716i	0.120578	+	0.992704i	$0.461525\pi$
$464$	1.86095	−	5.72742i	0.0863925	−	0.265889i
$465$	−1.37120	−	2.61047i	−0.0635880	−	0.121058i
$466$	1.14515	+	3.52442i	0.0530482	+	0.163265i
$467$	17.9975	+	24.7715i	0.832827	+	1.14629i	0.987390	+	0.158305i	$0.0506029\pi$
$467$	17.9975	+	24.7715i	0.832827	+	1.14629i	−0.154563	+	0.987983i	$0.549397\pi$
$468$			0.482152i			0.0222875i
$469$	−0.837716	+	0.608636i	−0.0386821	+	0.0281042i
$470$	−4.33804	+	8.78184i	−0.200099	+	0.405076i
$471$	18.4686	+	13.4182i	0.850986	+	0.618278i
$472$	0.597091	−	0.821825i	0.0274833	−	0.0378276i
$473$	−11.8518	−	3.85090i	−0.544948	−	0.177064i
$474$	−8.48510			−0.389734
$475$	−0.675593	−	27.1922i	−0.0309983	−	1.24766i
$476$	−2.23476			−0.102430
$477$	−1.60340	−	0.520975i	−0.0734145	−	0.0238538i
$478$	9.91790	−	13.6508i	0.453634	−	0.624374i
$479$	−0.948887	−	0.689407i	−0.0433558	−	0.0314998i	0.565896	−	0.824476i	$-0.308530\pi$
$479$	−0.948887	−	0.689407i	−0.0433558	−	0.0314998i	−0.609252	+	0.792977i	$0.708530\pi$
$480$	−2.21271	−	0.322342i	−0.100996	−	0.0147128i
$481$	0.304308	−	0.221093i	0.0138753	−	0.0100810i
$482$			20.6256i			0.939471i
$483$	−1.25829	−	1.73189i	−0.0572541	−	0.0788035i
$484$	−4.42977	−	13.6334i	−0.201353	−	0.619702i
$485$	−3.06548	+	21.0430i	−0.139196	+	0.955512i
$486$	0.309017	−	0.951057i	0.0140173	−	0.0431408i
$487$	−11.1802	+	3.63267i	−0.506623	+	0.164612i	−0.551166	−	0.834396i	$-0.685817\pi$
$487$	−11.1802	+	3.63267i	−0.506623	+	0.164612i	0.0445428	+	0.999007i	$0.485817\pi$
$488$	3.98310	−	1.29419i	0.180307	−	0.0585851i
$489$	−2.45923	+	7.56873i	−0.111210	+	0.342270i
$490$	15.1891	−	2.59950i	0.686176	−	0.117433i
$491$	1.27640	+	3.92836i	0.0576031	+	0.177284i	0.975718	−	0.219030i	$-0.0702892\pi$
$491$	1.27640	+	3.92836i	0.0576031	+	0.177284i	−0.918115	+	0.396314i	$0.870289\pi$
$492$	−7.35938	−	10.1293i	−0.331786	−	0.456665i
$493$			40.8670i			1.84056i
$494$	−2.12202	+	1.54174i	−0.0954744	+	0.0693662i
$495$	9.96405	−	5.23382i	0.447851	−	0.235243i
$496$	−1.06685	−	0.775108i	−0.0479028	−	0.0348034i
$497$	−1.10563	+	1.52177i	−0.0495943	+	0.0682606i
$498$	−16.3539	−	5.31370i	−0.732835	−	0.238113i
$499$	−9.59154			−0.429376			−0.214688	−	0.976683i	$-0.568873\pi$
$499$	−9.59154			−0.429376			−0.214688	+	0.976683i	$0.568873\pi$
$500$	7.60571	−	8.19470i	0.340138	−	0.366478i
$501$	13.9503			0.623254
$502$	8.27053	+	2.68726i	0.369132	+	0.119938i
$503$	−9.96021	+	13.7091i	−0.444104	+	0.611257i	−0.971118	−	0.238600i	$-0.923312\pi$
$503$	−9.96021	+	13.7091i	−0.444104	+	0.611257i	0.527014	+	0.849857i	$0.323312\pi$
$504$	−0.266421	−	0.193566i	−0.0118674	−	0.00862213i
$505$	38.0942	−	20.0098i	1.69517	−	0.890423i
$506$	26.4709	−	19.2322i	1.17677	−	0.854977i
$507$		−	12.7675i		−	0.567026i
$508$	7.40938	+	10.1981i	0.328738	+	0.452469i
$509$	−10.5993	−	32.6213i	−0.469805	−	1.44591i	−0.852837	−	0.522177i	$-0.825120\pi$
$509$	−10.5993	−	32.6213i	−0.469805	−	1.44591i	0.383032	−	0.923735i	$-0.374880\pi$
$510$	14.9567	−	2.55972i	0.662295	−	0.113346i
$511$	−0.299459	+	0.921641i	−0.0132473	+	0.0407710i
$512$	−0.951057	+	0.309017i	−0.0420312	+	0.0136568i
$513$	5.17386	−	1.68109i	0.228432	−	0.0742220i
$514$	−2.19623	+	6.75929i	−0.0968714	+	0.298140i
$515$	−1.64616	+	11.3001i	−0.0725386	+	0.497941i
$516$	−0.765070	−	2.35464i	−0.0336803	−	0.103657i
$517$	−12.9596	−	17.8374i	−0.569964	−	0.784488i
$518$			0.256911i			0.0112880i
$519$	−15.7765	+	11.4623i	−0.692513	+	0.503140i
$520$	−1.06686	−	0.155418i	−0.0467851	−	0.00681552i
$521$	−17.2185	−	12.5100i	−0.754356	−	0.548072i	0.142818	−	0.989749i	$-0.454384\pi$
$521$	−17.2185	−	12.5100i	−0.754356	−	0.548072i	−0.897174	+	0.441677i	$0.854384\pi$
$522$	−3.53974	+	4.87203i	−0.154930	+	0.213243i
$523$	39.3254	+	12.7776i	1.71958	+	0.558726i	0.991881	−	0.127170i	$-0.0405893\pi$
$523$	39.3254	+	12.7776i	1.71958	+	0.558726i	0.727700	+	0.685896i	$0.240589\pi$
$524$	−14.0559			−0.614036
$525$	1.55286	−	0.547558i	0.0677726	−	0.0238974i
$526$	−15.8609			−0.691570
$527$	8.51080	+	2.76533i	0.370736	+	0.120459i
$528$	2.95855	−	4.07210i	0.128755	−	0.177215i
$529$	15.5794	+	11.3191i	0.677364	+	0.492133i
$530$	1.66961	−	3.37992i	0.0725232	−	0.146814i
$531$	−0.821825	+	0.597091i	−0.0356642	+	0.0259115i
$532$		−	1.79151i		−	0.0776720i
$533$	−3.54834	−	4.88387i	−0.153696	−	0.211544i
$534$	−1.06683	−	3.28336i	−0.0461662	−	0.142085i
$535$	−15.9445	−	30.3549i	−0.689343	−	1.31236i
$536$	0.971651	−	2.99043i	0.0419689	−	0.129167i
$537$	18.0616	−	5.86857i	0.779416	−	0.253248i
$538$	4.29816	−	1.39656i	0.185307	−	0.0602099i
$539$	−10.7191	+	32.9901i	−0.461706	+	1.42099i
$540$	2.00481	+	0.990331i	0.0862731	+	0.0426171i
$541$	−11.0695	−	34.0685i	−0.475916	−	1.46472i	−0.844719	−	0.535210i	$-0.820232\pi$
$541$	−11.0695	−	34.0685i	−0.475916	−	1.46472i	0.368803	−	0.929507i	$-0.379768\pi$
$542$	−6.54289	−	9.00551i	−0.281041	−	0.386820i
$543$			18.9484i			0.813153i
$544$	5.49007	−	3.98877i	0.235385	−	0.171017i
$545$	15.6228	+	15.2395i	0.669208	+	0.652788i
$546$	−0.128456	−	0.0933285i	−0.00549739	−	0.00399409i
$547$	4.91537	−	6.76543i	0.210166	−	0.289269i	−0.690900	−	0.722950i	$-0.742786\pi$
$547$	4.91537	−	6.76543i	0.210166	−	0.289269i	0.901066	+	0.433681i	$0.142786\pi$
$548$	6.36127	+	2.06690i	0.271740	+	0.0882936i
$549$	−4.18808			−0.178743
$550$	8.36911	+	23.7347i	0.356860	+	1.01205i
$551$	−32.7613			−1.39568
$552$	6.18239	+	2.00878i	0.263140	+	0.0854994i
$553$	1.64243	−	2.26061i	0.0698433	−	0.0961310i
$554$	−18.4729	−	13.4214i	−0.784840	−	0.570219i
$555$	−0.294269	−	1.71944i	−0.0124910	−	0.0729863i
$556$	2.49014	−	1.80920i	0.105606	−	0.0767270i
$557$		−	28.1467i		−	1.19262i	−0.802756	−	0.596308i	$-0.796634\pi$
$557$		−	28.1467i		−	1.19262i	0.802756	−	0.596308i	$-0.203366\pi$
$558$	0.775108	+	1.06685i	0.0328130	+	0.0451632i
$559$	−0.368880	−	1.13530i	−0.0156020	−	0.0480179i
$560$	0.514186	−	0.527119i	0.0217283	−	0.0222749i
$561$	−10.5551	+	32.4853i	−0.445638	+	1.37153i
$562$	−27.3474	+	8.88571i	−1.15358	+	0.374821i
$563$	−3.28183	+	1.06633i	−0.138313	+	0.0449406i	−0.377355	−	0.926069i	$-0.623166\pi$
$563$	−3.28183	+	1.06633i	−0.138313	+	0.0449406i	0.239043	+	0.971009i	$0.423166\pi$
$564$	1.35362	−	4.16600i	0.0569975	−	0.175420i
$565$	2.36652	−	2.42604i	0.0995601	−	0.102064i
$566$	−5.97859	−	18.4002i	−0.251299	−	0.773418i
$567$	0.193566	+	0.266421i	0.00812903	+	0.0111886i
$568$		−	5.71189i		−	0.239665i
$569$	14.0801	−	10.2298i	0.590270	−	0.428856i	−0.252142	−	0.967690i	$-0.581135\pi$
$569$	14.0801	−	10.2298i	0.590270	−	0.428856i	0.842412	+	0.538834i	$0.181135\pi$
$570$	2.05202	+	11.9902i	0.0859495	+	0.502212i
$571$	30.1126	+	21.8781i	1.26017	+	0.915570i	0.998766	−	0.0496580i	$-0.0158131\pi$
$571$	30.1126	+	21.8781i	1.26017	+	0.915570i	0.261408	+	0.965228i	$0.415813\pi$
$572$	1.42647	−	1.96337i	0.0596438	−	0.0820927i
$573$	11.5014	+	3.73703i	0.480478	+	0.156117i
$574$	4.12320			0.172099
$575$	−25.8127	+	19.7519i	−1.07646	+	0.823709i
$576$	1.00000			0.0416667
$577$	−19.1201	−	6.21250i	−0.795980	−	0.258630i	−0.117332	−	0.993093i	$-0.537434\pi$
$577$	−19.1201	−	6.21250i	−0.795980	−	0.258630i	−0.678649	+	0.734463i	$0.737434\pi$
$578$	−17.0758	+	23.5028i	−0.710260	+	0.977589i
$579$	−8.92808	−	6.48663i	−0.371038	−	0.269575i
$580$	−9.63940	−	9.40289i	−0.400254	−	0.390434i
$581$	4.58125	−	3.32847i	0.190062	−	0.138088i
$582$		−	9.51004i		−	0.394204i
$583$	4.98786	+	6.86520i	0.206576	+	0.284327i
$584$	−0.909340	−	2.79866i	−0.0376287	−	0.115809i
$585$	0.966621	+	0.477490i	0.0399649	+	0.0197418i
$586$	4.64456	−	14.2945i	0.191865	−	0.590500i
$587$	5.81892	−	1.89068i	0.240173	−	0.0780368i	−0.186457	−	0.982463i	$-0.559701\pi$
$587$	5.81892	−	1.89068i	0.240173	−	0.0780368i	0.426630	+	0.904426i	$0.359701\pi$
$588$	−6.55426	+	2.12961i	−0.270293	+	0.0878235i
$589$	−2.21684	+	6.82274i	−0.0913434	+	0.281126i
$590$	−1.05628	−	2.01093i	−0.0434864	−	0.0827887i
$591$	−6.37229	−	19.6119i	−0.262121	−	0.806726i
$592$	−0.458554	−	0.631145i	−0.0188465	−	0.0259399i
$593$		−	24.9458i		−	1.02440i	−0.858866	−	0.512201i	$-0.828830\pi$
$593$		−	24.9458i		−	1.02440i	0.858866	−	0.512201i	$-0.171170\pi$
$594$	−4.07210	+	2.95855i	−0.167080	+	0.121391i
$595$	−2.21315	+	4.48026i	−0.0907305	+	0.183673i
$596$	−4.09739	−	2.97693i	−0.167836	−	0.121940i
$597$	10.8925	−	14.9922i	0.445798	−	0.613589i
$598$	2.98085	+	0.968538i	0.121896	+	0.0396065i
$599$	0.941228			0.0384575			0.0192288	−	0.999815i	$-0.493879\pi$
$599$	0.941228			0.0384575			0.0192288	+	0.999815i	$0.493879\pi$
$600$	−2.83755	+	4.11683i	−0.115842	+	0.168069i
$601$	10.2333			0.417426			0.208713	−	0.977977i	$-0.433073\pi$
$601$	10.2333			0.417426			0.208713	+	0.977977i	$0.433073\pi$
$602$	0.775419	+	0.251949i	0.0316037	+	0.0102687i
$603$	−1.84819	+	2.54381i	−0.0752641	+	0.103592i
$604$	−13.7194	−	9.96772i	−0.558234	−	0.405581i
$605$	−31.7193	−	4.62078i	−1.28957	−	0.187862i
$606$	−15.5683	+	11.3110i	−0.632420	+	0.459480i
$607$			6.80623i			0.276256i	0.990414	+	0.138128i	$0.0441086\pi$
$607$			6.80623i			0.276256i	−0.990414	+	0.138128i	$0.955891\pi$
$608$	3.19762	+	4.40115i	0.129681	+	0.178490i
$609$	−0.612839	−	1.88612i	−0.0248335	−	0.0764296i
$610$	1.34999	−	9.26702i	0.0546596	−	0.375211i
$611$	0.652649	−	2.00865i	0.0264034	−	0.0812612i
$612$	−6.45396	+	2.09702i	−0.260886	+	0.0847670i
$613$	−1.08367	+	0.352106i	−0.0437690	+	0.0142214i	−0.330820	−	0.943694i	$-0.607325\pi$
$613$	−1.08367	+	0.352106i	−0.0437690	+	0.0142214i	0.287051	+	0.957915i	$0.407325\pi$
$614$	−6.08951	+	18.7416i	−0.245753	+	0.756349i
$615$	−27.5955	+	4.72275i	−1.11276	+	0.190440i
$616$	0.512218	+	1.57644i	0.0206378	+	0.0635167i
$617$	8.43925	+	11.6156i	0.339752	+	0.467628i	0.944369	−	0.328888i	$-0.106674\pi$
$617$	8.43925	+	11.6156i	0.339752	+	0.467628i	−0.604617	+	0.796516i	$0.706674\pi$
$618$		−	5.10689i		−	0.205429i
$619$	0.385511	−	0.280090i	0.0154950	−	0.0112578i	−0.580011	−	0.814609i	$-0.696952\pi$
$619$	0.385511	−	0.280090i	0.0154950	−	0.0112578i	0.595506	+	0.803351i	$0.296952\pi$
$620$	−2.61047	+	1.37120i	−0.104839	+	0.0550688i
$621$	−5.25906	−	3.82093i	−0.211039	−	0.153329i
$622$	16.5986	−	22.8461i	0.665545	−	0.916044i
$623$	1.08126	+	0.351323i	0.0433198	+	0.0140754i
$624$	0.482152			0.0193015
$625$	−8.89662	−	23.3634i	−0.355865	−	0.934537i
$626$	−11.2478			−0.449553
$627$	−26.0421	−	8.46159i	−1.04002	−	0.337923i
$628$	13.4182	−	18.4686i	0.535444	−	0.736976i
$629$	4.28301	+	3.11179i	0.170775	+	0.124075i
$630$	−0.651908	+	0.342428i	−0.0259727	+	0.0136427i
$631$	13.7958	−	10.0232i	0.549201	−	0.399018i	−0.278290	−	0.960497i	$-0.589768\pi$
$631$	13.7958	−	10.0232i	0.549201	−	0.399018i	0.827491	+	0.561479i	$0.189768\pi$
$632$			8.48510i			0.337519i
$633$	9.26574	+	12.7532i	0.368280	+	0.506894i
$634$	7.19752	+	22.1517i	0.285850	+	0.879756i
$635$	27.7830	−	4.75483i	1.10254	−	0.188690i
$636$	−0.520975	+	1.60340i	−0.0206580	+	0.0635788i
$637$	−3.16015	+	1.02679i	−0.125210	+	0.0406831i
$638$	28.8283	−	9.36690i	1.14133	−	0.370839i
$639$	−1.76507	+	5.43233i	−0.0698251	+	0.214900i
$640$	−0.322342	+	2.21271i	−0.0127417	+	0.0874651i
$641$	−10.1127	−	31.1237i	−0.399428	−	1.22931i	−0.925459	−	0.378848i	$-0.876320\pi$
$641$	−10.1127	−	31.1237i	−0.399428	−	1.22931i	0.526031	−	0.850465i	$-0.323680\pi$
$642$	9.01307	+	12.4054i	0.355717	+	0.489603i
$643$			12.5844i			0.496281i	0.968724	+	0.248141i	$0.0798195\pi$
$643$			12.5844i			0.496281i	−0.968724	+	0.248141i	$0.920180\pi$
$644$	−1.73189	+	1.25829i	−0.0682458	+	0.0495835i
$645$	−5.47827	−	0.798060i	−0.215707	−	0.0314236i
$646$	−29.8666	−	21.6994i	−1.17509	−	0.853751i
$647$	15.0706	−	20.7430i	0.592488	−	0.815490i	−0.402507	−	0.915417i	$-0.631861\pi$
$647$	15.0706	−	20.7430i	0.592488	−	0.815490i	0.994995	+	0.0999273i	$0.0318610\pi$
$648$	−0.951057	−	0.309017i	−0.0373610	−	0.0121393i
$649$	5.11308			0.200706
$650$	−1.36813	+	1.98494i	−0.0536625	+	0.0778557i
$651$	−0.434265			−0.0170202
$652$	7.56873	+	2.45923i	0.296414	+	0.0963109i
$653$	−17.6669	+	24.3165i	−0.691361	+	0.951577i	0.308639	+	0.951179i	$0.400127\pi$
$653$	−17.6669	+	24.3165i	−0.691361	+	0.951577i	−1.00000		0.000397632i	$0.999873\pi$
$654$	−7.89623	−	5.73695i	−0.308767	−	0.224332i
$655$	−13.9200	+	28.1794i	−0.543900	+	1.10106i
$656$	−10.1293	+	7.35938i	−0.395483	+	0.287335i
$657$			2.94269i			0.114805i
$658$	0.847898	+	1.16703i	0.0330545	+	0.0454956i
$659$	2.48706	+	7.65438i	0.0968821	+	0.298172i	0.987740	−	0.156110i	$-0.0498956\pi$
$659$	2.48706	+	7.65438i	0.0968821	+	0.298172i	−0.890858	+	0.454283i	$0.849896\pi$
$660$	−5.23382	−	9.96405i	−0.203726	−	0.387850i
$661$	−0.225140	+	0.692909i	−0.00875692	+	0.0269510i	−0.955340	−	0.295510i	$-0.904510\pi$
$661$	−0.225140	+	0.692909i	−0.00875692	+	0.0269510i	0.946583	+	0.322461i	$0.104510\pi$
$662$	−0.123004	+	0.0399663i	−0.00478068	+	0.00155334i
$663$	−3.11179	+	1.01108i	−0.120852	+	0.0392672i
$664$	−5.31370	+	16.3539i	−0.206212	+	0.634654i
$665$	−3.59164	−	1.77419i	−0.139278	−	0.0688002i
$666$	0.241076	+	0.741956i	0.00934151	+	0.0287502i
$667$	23.0103	+	31.6709i	0.890961	+	1.22630i
$668$		−	13.9503i		−	0.539754i
$669$	−17.9426	+	13.0360i	−0.693700	+	0.504002i
$670$	−5.03298	−	4.90949i	−0.194441	−	0.189670i
$671$	17.0543	+	12.3907i	0.658373	+	0.478336i
$672$	−0.193566	+	0.266421i	−0.00746699	+	0.0102774i
$673$	−7.04563	−	2.28926i	−0.271589	−	0.0882446i	0.170056	−	0.985434i	$-0.445605\pi$
$673$	−7.04563	−	2.28926i	−0.271589	−	0.0882446i	−0.441645	+	0.897190i	$0.645605\pi$
$674$	−0.538069			−0.0207256
$675$	3.97084	−	3.03849i	0.152838	−	0.116952i
$676$	−12.7675			−0.491059
$677$	9.31563	+	3.02683i	0.358029	+	0.116331i	0.482508	−	0.875892i	$-0.339726\pi$
$677$	9.31563	+	3.02683i	0.358029	+	0.116331i	−0.124479	+	0.992222i	$0.539726\pi$
$678$	−0.890881	+	1.22619i	−0.0342141	+	0.0470916i
$679$	2.53368	+	1.84082i	0.0972336	+	0.0706444i
$680$	−2.55972	−	14.9567i	−0.0981607	−	0.573564i
$681$	−8.97759	+	6.52260i	−0.344022	+	0.249947i
$682$		−	6.63750i		−	0.254163i
$683$	19.7406	+	27.1706i	0.755354	+	1.03966i	0.997586	+	0.0694369i	$0.0221202\pi$
$683$	19.7406	+	27.1706i	0.755354	+	1.03966i	−0.242233	+	0.970218i	$0.577880\pi$
$684$	−1.68109	−	5.17386i	−0.0642781	−	0.197828i
$685$	10.4435	−	10.7062i	0.399025	−	0.409062i
$686$	1.41366	−	4.35079i	0.0539737	−	0.166114i
$687$	−1.71075	+	0.555857i	−0.0652692	+	0.0212073i
$688$	−2.35464	+	0.765070i	−0.0897699	+	0.0291680i
$689$	−0.251189	+	0.773081i	−0.00956955	+	0.0294520i
$690$	10.1498	−	10.4051i	0.386397	−	0.396117i
$691$	8.06874	+	24.8330i	0.306950	+	0.944693i	0.978943	+	0.204136i	$0.0654385\pi$
$691$	8.06874	+	24.8330i	0.306950	+	0.944693i	−0.671993	+	0.740557i	$0.734562\pi$
$692$	11.4623	+	15.7765i	0.435732	+	0.599734i
$693$		−	1.65757i		−	0.0629659i
$694$	−18.3773	+	13.3519i	−0.697593	+	0.506831i
$695$	−1.16102	−	6.78396i	−0.0440399	−	0.257330i
$696$	4.87203	+	3.53974i	0.184674	+	0.134173i
$697$	49.9415	−	68.7385i	1.89167	−	2.60366i
$698$	−6.50855	−	2.11476i	−0.246352	−	0.0800447i
$699$	−3.70579			−0.140166
$700$	−0.547558	−	1.55286i	−0.0206957	−	0.0586928i
$701$	41.8212			1.57956			0.789782	−	0.613388i	$-0.210194\pi$
$701$	41.8212			1.57956			0.789782	+	0.613388i	$0.210194\pi$
$702$	−0.458554	−	0.148993i	−0.0173070	−	0.00562339i
$703$	−2.49459	+	3.43351i	−0.0940852	+	0.129497i
$704$	−4.07210	−	2.95855i	−0.153473	−	0.111505i
$705$	−7.01150	−	6.83946i	−0.264068	−	0.257589i
$706$	13.5744	−	9.86237i	0.510879	−	0.371175i
$707$		−	6.33717i		−	0.238334i
$708$	0.597091	+	0.821825i	0.0224401	+	0.0308861i
$709$	2.74068	+	8.43495i	0.102928	+	0.316781i	0.989239	−	0.146311i	$-0.0467400\pi$
$709$	2.74068	+	8.43495i	0.102928	+	0.316781i	−0.886310	+	0.463092i	$0.846740\pi$
$710$	−11.4512	−	5.65666i	−0.429757	−	0.212291i
$711$	2.62204	−	8.06981i	0.0983342	−	0.302642i
$712$	−3.28336	+	1.06683i	−0.123049	+	0.0399811i
$713$	8.15268	−	2.64897i	0.305320	−	0.0992045i
$714$	0.690580	−	2.12539i	0.0258443	−	0.0795406i
$715$	−2.52350	−	4.80419i	−0.0943735	−	0.179666i
$716$	−5.86857	−	18.0616i	−0.219319	−	0.674994i
$717$	9.91790	+	13.6508i	0.370391	+	0.509799i
$718$			7.46364i			0.278541i
$719$	−2.14802	+	1.56062i	−0.0801074	+	0.0582015i	−0.627118	−	0.778924i	$-0.715766\pi$
$719$	−2.14802	+	1.56062i	−0.0801074	+	0.0582015i	0.547011	+	0.837126i	$0.315766\pi$
$720$	0.990331	−	2.00481i	0.0369075	−	0.0747147i
$721$	1.36058	+	0.988522i	0.0506708	+	0.0368145i
$722$	6.22755	−	8.57148i	0.231765	−	0.318998i
$723$	−19.6161	−	6.37366i	−0.729531	−	0.237039i
$724$	18.9484			0.704211
$725$	−28.3972	+	10.0132i	−1.05464	+	0.371879i
$726$	14.3350			0.532023
$727$	−6.69240	−	2.17449i	−0.248207	−	0.0806475i	0.182271	−	0.983248i	$-0.441655\pi$
$727$	−6.69240	−	2.17449i	−0.248207	−	0.0806475i	−0.430479	+	0.902601i	$0.641655\pi$
$728$	−0.0933285	+	0.128456i	−0.00345898	+	0.00476088i
$729$	0.809017	+	0.587785i	0.0299636	+	0.0217698i
$730$	−6.51132	−	0.948551i	−0.240995	−	0.0351074i
$731$	13.5924	−	9.87546i	0.502733	−	0.365257i
$732$			4.18808i			0.154796i
$733$	11.9086	+	16.3908i	0.439854	+	0.605407i	0.970180	−	0.242387i	$-0.0779304\pi$
$733$	11.9086	+	16.3908i	0.439854	+	0.605407i	−0.530326	+	0.847794i	$0.677930\pi$
$734$	−1.90192	−	5.85350i	−0.0702011	−	0.216057i
$735$	−2.22144	+	15.2490i	−0.0819389	+	0.562469i
$736$	2.00878	−	6.18239i	0.0740446	−	0.227886i
$737$	15.0520	−	4.89070i	0.554448	−	0.180151i
$738$	11.9077	−	3.86905i	0.438329	−	0.142422i
$739$	−5.30003	+	16.3118i	−0.194965	+	0.600039i	0.805012	+	0.593258i	$0.202159\pi$
$739$	−5.30003	+	16.3118i	−0.194965	+	0.600039i	−0.999977	+	0.00678134i	$0.997841\pi$
$740$	−1.71944	+	0.294269i	−0.0632080	+	0.0108175i
$741$	−0.810541	−	2.49459i	−0.0297760	−	0.0916410i
$742$	−0.326336	−	0.449163i	−0.0119802	−	0.0164893i
$743$			9.94252i			0.364756i	0.983229	+	0.182378i	$0.0583794\pi$
$743$			9.94252i			0.364756i	−0.983229	+	0.182378i	$0.941621\pi$
$744$	1.06685	−	0.775108i	0.0391124	−	0.0284169i
$745$	−10.0259	+	5.26632i	−0.367322	+	0.192943i
$746$	7.41811	+	5.38957i	0.271596	+	0.197326i
$747$	10.1073	−	13.9114i	0.369805	−	0.508993i
$748$	32.4853	+	10.5551i	1.18778	+	0.385933i
$749$	−5.04970			−0.184512
$750$	5.44333	+	9.76576i	0.198762	+	0.356595i
$751$	−17.6941			−0.645667			−0.322833	−	0.946456i	$-0.604635\pi$
$751$	−17.6941			−0.645667			−0.322833	+	0.946456i	$0.604635\pi$
$752$	−4.16600	−	1.35362i	−0.151919	−	0.0493613i
$753$	−5.11147	+	7.03533i	−0.186272	+	0.256382i
$754$	2.34906	+	1.70669i	0.0855478	+	0.0621541i
$755$	−33.5701	+	17.6334i	−1.22174	+	0.641744i
$756$	0.266421	−	0.193566i	0.00968965	−	0.00703994i
$757$			37.1272i			1.34941i	0.738087	+	0.674706i	$0.235729\pi$
$757$			37.1272i			1.34941i	−0.738087	+	0.674706i	$0.764271\pi$
$758$	−20.3562	−	28.0179i	−0.739371	−	1.01766i
$759$	10.1110	+	31.1184i	0.367005	+	1.12953i
$760$	11.9902	−	2.05202i	0.434929	−	0.0744345i
$761$	−15.3161	+	47.1381i	−0.555208	+	1.70876i	0.140184	+	0.990125i	$0.455230\pi$
$761$	−15.3161	+	47.1381i	−0.555208	+	1.70876i	−0.695393	+	0.718630i	$0.744770\pi$
$762$	−11.9886	+	3.89534i	−0.434302	+	0.141113i
$763$	3.05689	−	0.993244i	0.110667	−	0.0359578i
$764$	3.73703	−	11.5014i	0.135201	−	0.416106i
$765$	−2.18744	+	15.0157i	−0.0790872	+	0.542893i
$766$	−2.94198	−	9.05448i	−0.106298	−	0.327152i
$767$	0.287889	+	0.396245i	0.0103951	+	0.0143076i
$768$		−	1.00000i		−	0.0360844i
$769$	27.8015	−	20.1990i	1.00255	−	0.728393i	0.0399144	−	0.999203i	$-0.487291\pi$
$769$	27.8015	−	20.1990i	1.00255	−	0.728393i	0.962633	+	0.270810i	$0.0872915\pi$
$770$	3.66773	+	0.534304i	0.132176	+	0.0192550i
$771$	−5.74980	−	4.17747i	−0.207074	−	0.150448i
$772$	−6.48663	+	8.92808i	−0.233459	+	0.321329i
$773$	21.8672	+	7.10509i	0.786510	+	0.255552i	0.674617	−	0.738168i	$-0.264309\pi$
$773$	21.8672	+	7.10509i	0.786510	+	0.255552i	0.111893	+	0.993720i	$0.464309\pi$
$774$	2.47582			0.0889915
$775$	0.163765	+	6.59143i	0.00588260	+	0.236771i
$776$	−9.51004			−0.341390
$777$	−0.244337	−	0.0793900i	−0.00876555	−	0.00284810i
$778$	10.2541	−	14.1136i	0.367628	−	0.505997i
$779$	55.1047	+	40.0359i	1.97433	+	1.43444i
$780$	0.477490	−	0.966621i	0.0170969	−	0.0346106i
$781$	23.2594	−	16.8989i	0.832286	−	0.604691i
$782$			44.1134i			1.57749i
$783$	−3.53974	−	4.87203i	−0.126500	−	0.174112i
$784$	2.12961	+	6.55426i	0.0760574	+	0.234081i
$785$	−23.7374	−	45.1908i	−0.847224	−	1.61293i
$786$	4.34352	−	13.3680i	0.154928	−	0.476820i
$787$	8.00012	−	2.59940i	0.285174	−	0.0926585i	−0.162938	−	0.986636i	$-0.552097\pi$
$787$	8.00012	−	2.59940i	0.285174	−	0.0926585i	0.448111	+	0.893978i	$0.352097\pi$
$788$	−19.6119	+	6.37229i	−0.698645	+	0.227004i
$789$	4.90130	−	15.0847i	0.174491	−	0.537028i
$790$	17.0110	+	8.40306i	0.605223	+	0.298967i
$791$	−0.154239	−	0.474699i	−0.00548411	−	0.0168784i
$792$	2.95855	+	4.07210i	0.105128	+	0.144696i
$793$			2.01929i			0.0717072i
$794$	−10.9663	+	7.96751i	−0.389181	+	0.282757i
$795$	2.69856	+	2.63235i	0.0957081	+	0.0933597i
$796$	−14.9922	−	10.8925i	−0.531383	−	0.386073i
$797$	22.4972	−	30.9647i	0.796890	−	1.09683i	−0.196325	−	0.980539i	$-0.562901\pi$
$797$	22.4972	−	30.9647i	0.796890	−	1.09683i	0.993216	−	0.116287i	$-0.0370991\pi$
$798$	1.70383	+	0.553608i	0.0603149	+	0.0195975i
$799$	29.7258			1.05162
$800$	4.11683	+	2.83755i	0.145552	+	0.100323i
$801$	3.45233			0.121982
$802$	13.4198	+	4.36037i	0.473871	+	0.153970i
$803$	8.70609	−	11.9829i	0.307231	−	0.422868i
$804$	2.54381	+	1.84819i	0.0897134	+	0.0651806i
$805$	0.807484	+	4.71822i	0.0284601	+	0.166295i
$806$	0.514382	−	0.373720i	0.0181183	−	0.0131637i
$807$			4.51935i			0.159089i
$808$	11.3110	+	15.5683i	0.397921	+	0.547692i
$809$	9.51817	+	29.2939i	0.334641	+	1.02992i	0.966899	+	0.255161i	$0.0821284\pi$
$809$	9.51817	+	29.2939i	0.334641	+	1.02992i	−0.632258	+	0.774758i	$0.717872\pi$
$810$	−1.56138	+	1.60065i	−0.0548613	+	0.0562413i
$811$	−0.243268	+	0.748703i	−0.00854230	+	0.0262905i	−0.955237	−	0.295842i	$-0.904400\pi$
$811$	−0.243268	+	0.748703i	−0.00854230	+	0.0262905i	0.946695	+	0.322133i	$0.104400\pi$
$812$	−1.88612	+	0.612839i	−0.0661900	+	0.0215064i
$813$	10.5866	−	3.43980i	0.371289	−	0.120639i
$814$	1.21343	−	3.73456i	0.0425307	−	0.130896i
$815$	12.4258	−	12.7384i	0.435258	−	0.446206i
$816$	2.09702	+	6.45396i	0.0734104	+	0.225934i
$817$	7.91674	+	10.8965i	0.276972	+	0.381219i
$818$			16.5637i			0.579138i
$819$	0.128456	−	0.0933285i	0.00448860	−	0.00326116i
$820$	4.72275	+	27.5955i	0.164925	+	0.963678i
$821$	−14.1344	−	10.2692i	−0.493293	−	0.358398i	0.313157	−	0.949702i	$-0.398614\pi$
$821$	−14.1344	−	10.2692i	−0.493293	−	0.358398i	−0.806449	+	0.591303i	$0.798614\pi$
$822$	−3.93148	+	5.41122i	−0.137126	+	0.188738i
$823$	−35.5950	−	11.5655i	−1.24077	−	0.403149i	−0.386162	−	0.922431i	$-0.626199\pi$
$823$	−35.5950	−	11.5655i	−1.24077	−	0.403149i	−0.854603	+	0.519282i	$0.826199\pi$
$824$	−5.10689			−0.177907
$825$	−25.1592	+	0.625083i	−0.875931	+	0.0217626i
$826$	−0.334529			−0.0116397
$827$	−11.2147	−	3.64386i	−0.389972	−	0.126710i	0.107467	−	0.994209i	$-0.465726\pi$
$827$	−11.2147	−	3.64386i	−0.389972	−	0.126710i	−0.497439	+	0.867499i	$0.665726\pi$
$828$	−3.82093	+	5.25906i	−0.132786	+	0.182765i
$829$	−28.3388	−	20.5893i	−0.984247	−	0.715098i	−0.0255936	−	0.999672i	$-0.508148\pi$
$829$	−28.3388	−	20.5893i	−0.984247	−	0.715098i	−0.958654	+	0.284575i	$0.908148\pi$
$830$	27.5240	+	26.8487i	0.955373	+	0.931932i
$831$	18.4729	−	13.4214i	0.640819	−	0.465582i
$832$		−	0.482152i		−	0.0167156i
$833$	−27.4888	−	37.8351i	−0.952430	−	1.31091i
$834$	0.951151	+	2.92734i	0.0329357	+	0.101366i
$835$	−27.9677	−	13.8154i	−0.967861	−	0.478103i
$836$	−8.46159	+	26.0421i	−0.292650	+	0.900684i
$837$	−1.25415	+	0.407499i	−0.0433498	+	0.0140852i
$838$	16.1399	−	5.24417i	0.557543	−	0.181157i
$839$	−0.154094	+	0.474252i	−0.00531991	+	0.0163730i	−0.953681	−	0.300819i	$-0.902740\pi$
$839$	−0.154094	+	0.474252i	−0.00531991	+	0.0163730i	0.948361	+	0.317192i	$0.102740\pi$
$840$	0.342428	+	0.651908i	0.0118149	+	0.0224930i
$841$	2.24546	+	6.91082i	0.0774297	+	0.238304i
$842$	4.15118	+	5.71360i	0.143059	+	0.196904i
$843$		−	28.7548i		−	0.990367i
$844$	12.7532	−	9.26574i	0.438983	−	0.318940i
$845$	−12.6441	+	25.5964i	−0.434970	+	0.880543i
$846$	3.54381	+	2.57473i	0.121839	+	0.0885211i
$847$	−2.77478	+	3.81916i	−0.0953427	+	0.131228i
$848$	1.60340	+	0.520975i	0.0550609	+	0.0178904i
$849$	19.3471			0.663992
$850$	−32.5203	−	9.68036i	−1.11544	−	0.332034i
$851$	5.07133			0.173843
$852$	5.43233	+	1.76507i	0.186108	+	0.0604703i
$853$	−12.5542	+	17.2793i	−0.429846	+	0.591633i	−0.967918	−	0.251266i	$-0.919153\pi$
$853$	−12.5542	+	17.2793i	−0.429846	+	0.591633i	0.538072	+	0.842899i	$0.319153\pi$
$854$	−1.11579	−	0.810672i	−0.0381817	−	0.0277406i
$855$	−12.0374	−	1.75358i	−0.411671	−	0.0599711i
$856$	12.4054	−	9.01307i	0.424009	−	0.308060i
$857$		−	33.4831i		−	1.14376i	−0.820337	−	0.571880i	$-0.806214\pi$
$857$		−	33.4831i		−	1.14376i	0.820337	−	0.571880i	$-0.193786\pi$
$858$	1.42647	+	1.96337i	0.0486990	+	0.0670284i
$859$	−14.0563	−	43.2610i	−0.479596	−	1.47605i	−0.839657	−	0.543117i	$-0.817244\pi$
$859$	−14.0563	−	43.2610i	−0.479596	−	1.47605i	0.360061	−	0.932929i	$-0.382756\pi$
$860$	−0.798060	+	5.47827i	−0.0272136	+	0.186808i
$861$	−1.27414	+	3.92139i	−0.0434225	+	0.133641i
$862$	16.9841	−	5.51848i	0.578482	−	0.187960i
$863$	13.7608	−	4.47115i	0.468423	−	0.152200i	−0.0652888	−	0.997866i	$-0.520797\pi$
$863$	13.7608	−	4.47115i	0.468423	−	0.152200i	0.533711	+	0.845667i	$0.320797\pi$
$864$	−0.309017	+	0.951057i	−0.0105130	+	0.0323556i
$865$	42.9804	−	7.35574i	1.46138	−	0.250103i
$866$	−7.47193	−	22.9962i	−0.253906	−	0.781444i
$867$	−17.0758	−	23.5028i	−0.579925	−	0.798198i
$868$			0.434265i			0.0147399i
$869$	−34.5522	+	25.1036i	−1.17210	+	0.851582i
$870$	11.9214	−	6.26197i	0.404174	−	0.212301i
$871$	1.22651	+	0.891108i	0.0415586	+	0.0301941i
$872$	−5.73695	+	7.89623i	−0.194277	+	0.267400i
$873$	9.04458	+	2.93876i	0.306113	+	0.0994621i
$874$	−35.3638			−1.19620
$875$	−3.65545	−	0.440103i	−0.123577	−	0.0148782i
$876$	2.94269			0.0994241
$877$	−42.9869	−	13.9673i	−1.45156	−	0.471641i	−0.526082	−	0.850434i	$-0.676339\pi$
$877$	−42.9869	−	13.9673i	−1.45156	−	0.471641i	−0.925482	+	0.378793i	$0.876339\pi$
$878$	11.1152	−	15.2987i	0.375119	−	0.516307i
$879$	12.1596	+	8.83449i	0.410134	+	0.297980i
$880$	−9.96405	+	5.23382i	−0.335888	+	0.176432i
$881$	−11.3062	+	8.21440i	−0.380914	+	0.276750i	−0.761722	−	0.647904i	$-0.775646\pi$
$881$	−11.3062	+	8.21440i	−0.380914	+	0.276750i	0.380808	+	0.924654i	$0.375646\pi$
$882$		−	6.89155i		−	0.232051i
$883$	−6.89760	−	9.49373i	−0.232123	−	0.319490i	0.677028	−	0.735958i	$-0.263268\pi$
$883$	−6.89760	−	9.49373i	−0.232123	−	0.319490i	−0.909150	+	0.416468i	$0.863268\pi$
$884$	1.01108	+	3.11179i	0.0340064	+	0.104661i
$885$	2.23892	−	0.383172i	0.0752604	−	0.0128802i
$886$	1.25389	−	3.85909i	0.0421254	−	0.129649i
$887$	−18.7845	+	6.10346i	−0.630722	+	0.204934i	−0.606895	−	0.794782i	$-0.707585\pi$
$887$	−18.7845	+	6.10346i	−0.630722	+	0.204934i	−0.0238271	+	0.999716i	$0.507585\pi$
$888$	0.741956	−	0.241076i	0.0248984	−	0.00808998i
$889$	1.28279	−	3.94803i	0.0430235	−	0.132413i
$890$	−1.11283	+	7.63901i	−0.0373022	+	0.256060i
$891$	−1.55540	−	4.78704i	−0.0521080	−	0.160372i
$892$	13.0360	+	17.9426i	0.436479	+	0.600762i
$893$			23.8299i			0.797437i
$894$	4.09739	−	2.97693i	0.137037	−	0.0995634i
$895$	−42.0218	−	6.12162i	−1.40464	−	0.204623i
$896$	0.266421	+	0.193566i	0.00890051	+	0.00646660i
$897$	−1.84227	+	2.53566i	−0.0615116	+	0.0846634i
$898$	5.95504	+	1.93491i	0.198722	+	0.0645688i
$899$	7.94139			0.264860
$900$	−3.03849	−	3.97084i	−0.101283	−	0.132361i
$901$	−11.4408			−0.381147
$902$	−59.9363	−	19.4745i	−1.99566	−	0.648429i
$903$	−0.479235	+	0.659611i	−0.0159480	+	0.0219505i
$904$	1.22619	+	0.890881i	0.0407825	+	0.0296302i
$905$	18.7652	−	37.9878i	0.623775	−	1.26276i
$906$	13.7194	−	9.96772i	0.455796	−	0.331155i
$907$		−	21.0111i		−	0.697661i	−0.937186	−	0.348831i	$-0.886579\pi$
$907$		−	21.0111i		−	0.697661i	0.937186	−	0.348831i	$-0.113421\pi$
$908$	6.52260	+	8.97759i	0.216460	+	0.297932i
$909$	−5.94657	−	18.3017i	−0.197235	−	0.607028i
$910$	0.165102	+	0.314319i	0.00547309	+	0.0104196i
$911$	7.67252	−	23.6136i	0.254202	−	0.782353i	−0.739784	−	0.672844i	$-0.765072\pi$
$911$	7.67252	−	23.6136i	0.254202	−	0.782353i	0.993986	−	0.109508i	$-0.0349277\pi$
$912$	−5.17386	+	1.68109i	−0.171324	+	0.0556665i
$913$	−82.3155	+	26.7459i	−2.72425	+	0.885161i
$914$	−0.600200	+	1.84723i	−0.0198528	+	0.0611008i
$915$	8.39629	+	4.14759i	0.277573	+	0.137115i
$916$	0.555857	+	1.71075i	0.0183660	+	0.0565248i
$917$	2.72076	+	3.74480i	0.0898473	+	0.123664i
$918$		−	6.78610i		−	0.223975i
$919$	−29.1482	+	21.1774i	−0.961511	+	0.698579i	−0.953501	−	0.301389i	$-0.902550\pi$
$919$	−29.1482	+	21.1774i	−0.961511	+	0.698579i	−0.00801012	+	0.999968i	$0.502550\pi$
$920$	−10.4051	−	10.1498i	−0.343047	−	0.334630i
$921$	−15.9425	−	11.5829i	−0.525325	−	0.381671i
$922$	1.83619	−	2.52730i	0.0604717	−	0.0832321i
$923$	2.61921	+	0.851032i	0.0862123	+	0.0280121i
$924$	−1.65757			−0.0545301
$925$	−1.11287	+	3.73857i	−0.0365908	+	0.122924i
$926$	−8.26641			−0.271651
$927$	4.85694	+	1.57811i	0.159523	+	0.0518321i
$928$	3.53974	−	4.87203i	0.116198	−	0.159932i
$929$	−46.0844	−	33.4822i	−1.51198	−	1.09852i	−0.965290	−	0.261181i	$-0.915888\pi$
$929$	−46.0844	−	33.4822i	−1.51198	−	1.09852i	−0.546689	−	0.837336i	$-0.684112\pi$
$930$	−0.497412	−	2.90643i	−0.0163108	−	0.0953056i
$931$	30.3308	−	22.0366i	0.994051	−	0.722220i
$932$			3.70579i			0.121387i
$933$	16.5986	+	22.8461i	0.543415	+	0.747946i
$934$	9.46187	+	29.1206i	0.309602	+	0.952856i
$935$	53.3322	−	54.6737i	1.74415	−	1.78802i
$936$	−0.148993	+	0.458554i	−0.00487000	+	0.0149883i
$937$	−39.7133	+	12.9036i	−1.29738	+	0.421543i	−0.874668	−	0.484723i	$-0.838920\pi$
$937$	−39.7133	+	12.9036i	−1.29738	+	0.421543i	−0.422708	+	0.906266i	$0.638920\pi$
$938$	−0.984794	+	0.319979i	−0.0321547	+	0.0104477i
$939$	3.47577	−	10.6973i	0.113427	−	0.349094i
$940$	−6.83946	+	7.01150i	−0.223079	+	0.228690i
$941$	−7.05275	−	21.7061i	−0.229913	−	0.707599i	−0.997756	−	0.0669608i	$-0.978670\pi$
$941$	−7.05275	−	21.7061i	−0.229913	−	0.707599i	0.767843	−	0.640638i	$-0.221330\pi$
$942$	13.4182	+	18.4686i	0.437188	+	0.601738i
$943$		−	81.3903i		−	2.65043i
$944$	0.821825	−	0.597091i	0.0267481	−	0.0194337i
$945$	−0.124218	−	0.725818i	−0.00404080	−	0.0236109i
$946$	−10.0818	−	7.32484i	−0.327787	−	0.238151i
$947$	−4.97703	+	6.85030i	−0.161732	+	0.222605i	−0.882190	−	0.470894i	$-0.843932\pi$
$947$	−4.97703	+	6.85030i	−0.161732	+	0.222605i	0.720458	+	0.693498i	$0.243932\pi$
$948$	−8.06981	−	2.62204i	−0.262095	−	0.0851599i
$949$	1.41882			0.0460569
$950$	7.76033	−	26.0701i	0.251778	−	0.845826i
$951$	−23.2917			−0.755284
$952$	−2.12539	−	0.690580i	−0.0688841	−	0.0223818i
$953$	−14.6287	+	20.1346i	−0.473869	+	0.652225i	−0.977312	−	0.211803i	$-0.932066\pi$
$953$	−14.6287	+	20.1346i	−0.473869	+	0.652225i	0.503443	+	0.864028i	$0.332066\pi$
$954$	−1.36393	−	0.990953i	−0.0441589	−	0.0320833i
$955$	−19.3572	−	18.8822i	−0.626383	−	0.611014i
$956$	13.6508	−	9.91790i	0.441499	−	0.320768i
$957$			30.3119i			0.979845i
$958$	−0.689407	−	0.948887i	−0.0222737	−	0.0306571i
$959$	−0.680661	−	2.09486i	−0.0219797	−	0.0676465i
$960$	−2.00481	−	0.990331i	−0.0647048	−	0.0319628i
$961$	−9.04216	+	27.8289i	−0.291683	+	0.897707i
$962$	0.357736	−	0.116235i	0.0115339	−	0.00374758i
$963$	−14.5835	+	4.73845i	−0.469945	+	0.152694i
$964$	−6.37366	+	19.6161i	−0.205282	+	0.631793i
$965$	11.4751	+	21.8462i	0.369398	+	0.703253i
$966$	−0.661521	−	2.03595i	−0.0212841	−	0.0655057i
$967$	13.0046	+	17.8993i	0.418199	+	0.575602i	0.965194	−	0.261534i	$-0.0842283\pi$
$967$	13.0046	+	17.8993i	0.418199	+	0.575602i	−0.546995	+	0.837136i	$0.684228\pi$
$968$		−	14.3350i		−	0.460746i
$969$	29.8666	−	21.6994i	0.959455	−	0.697085i
$970$	−9.41809	+	19.0658i	−0.302397	+	0.612165i
$971$	13.7573	+	9.99529i	0.441494	+	0.320764i	0.786228	−	0.617936i	$-0.212031\pi$
$971$	13.7573	+	9.99529i	0.441494	+	0.320764i	−0.344734	+	0.938700i	$0.612031\pi$
$972$	0.587785	−	0.809017i	0.0188532	−	0.0259492i
$973$	−0.964017	−	0.313228i	−0.0309050	−	0.0100416i
$974$	−11.7556			−0.376672
$975$	−1.46501	−	1.91455i	−0.0469180	−	0.0613147i
$976$	4.18808			0.134057
$977$	39.2815	+	12.7633i	1.25673	+	0.408335i	0.860327	−	0.509742i	$-0.170259\pi$
$977$	39.2815	+	12.7633i	1.25673	+	0.408335i	0.396400	+	0.918078i	$0.370259\pi$
$978$	−4.67773	+	6.43835i	−0.149577	+	0.205876i
$979$	−14.0582	−	10.2139i	−0.449303	−	0.326438i
$980$	15.2490	+	2.22144i	0.487112	+	0.0709611i
$981$	7.89623	−	5.73695i	0.252107	−	0.183167i
$982$			4.13052i			0.131810i
$983$	36.3933	+	50.0911i	1.16077	+	1.59766i	0.708369	+	0.705842i	$0.249431\pi$
$983$	36.3933	+	50.0911i	1.16077	+	1.59766i	0.452398	+	0.891816i	$0.350569\pi$
$984$	−3.86905	−	11.9077i	−0.123341	−	0.379604i
$985$	−6.64707	+	45.6287i	−0.211793	+	1.45385i
$986$	−12.6286	+	38.8668i	−0.402176	+	1.23777i
$987$	−1.37193	+	0.445766i	−0.0436689	+	0.0141889i
$988$	−2.49459	+	0.810541i	−0.0793635	+	0.0257868i
$989$	4.97338	−	15.3065i	0.158144	−	0.486718i
$990$	11.0937	−	1.89860i	0.352581	−	0.0603414i
$991$	1.52376	+	4.68964i	0.0484037	+	0.148971i	0.972337	−	0.233582i	$-0.0750448\pi$
$991$	1.52376	+	4.68964i	0.0484037	+	0.148971i	−0.923933	+	0.382553i	$0.875045\pi$
$992$	−0.775108	−	1.06685i	−0.0246097	−	0.0338724i
$993$		−	0.129334i		−	0.00410428i
$994$	−1.52177	+	1.10563i	−0.0482676	+	0.0350684i
$995$	−36.6845	+	19.2693i	−1.16298	+	0.610876i
$996$	−13.9114	−	10.1073i	−0.440801	−	0.320261i
$997$	−29.1304	+	40.0946i	−0.922569	+	1.26981i	0.0401195	+	0.999195i	$0.487226\pi$
$997$	−29.1304	+	40.0946i	−0.922569	+	1.26981i	−0.962688	+	0.270612i	$0.912774\pi$
$998$	−9.12209	−	2.96395i	−0.288755	−	0.0938221i
$999$	−0.780139			−0.0246825

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.h.b.79.4	yes	16
3.2	odd	2		450.2.l.c.379.1		16
5.2	odd	4		750.2.g.g.601.3		16
5.3	odd	4		750.2.g.f.601.2		16
5.4	even	2		750.2.h.d.649.2		16
25.6	even	5		750.2.h.d.349.1		16
25.8	odd	20		750.2.g.f.151.2		16
25.9	even	10		3750.2.c.k.1249.5		16
25.12	odd	20		3750.2.a.u.1.5		8
25.13	odd	20		3750.2.a.v.1.4		8
25.16	even	5		3750.2.c.k.1249.12		16
25.17	odd	20		750.2.g.g.151.3		16
25.19	even	10	inner	150.2.h.b.19.4	✓	16
75.44	odd	10		450.2.l.c.19.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.h.b.19.4	✓	16	25.19	even	10	inner
150.2.h.b.79.4	yes	16	1.1	even	1	trivial
450.2.l.c.19.1		16	75.44	odd	10
450.2.l.c.379.1		16	3.2	odd	2
750.2.g.f.151.2		16	25.8	odd	20
750.2.g.f.601.2		16	5.3	odd	4
750.2.g.g.151.3		16	25.17	odd	20
750.2.g.g.601.3		16	5.2	odd	4
750.2.h.d.349.1		16	25.6	even	5
750.2.h.d.649.2		16	5.4	even	2
3750.2.a.u.1.5		8	25.12	odd	20
3750.2.a.v.1.4		8	25.13	odd	20
3750.2.c.k.1249.5		16	25.9	even	10
3750.2.c.k.1249.12		16	25.16	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)

\(f(q)\)	\(=\)	\(q+(0.951057 + 0.309017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(0.809017 + 0.587785i) q^{4} +(1.97959 - 1.03982i) q^{5} +(-0.809017 + 0.587785i) q^{6} -0.329315i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.951057 + 0.309017i) q^{2} +(-0.587785 + 0.809017i) q^{3} +(0.809017 + 0.587785i) q^{4} +(1.97959 - 1.03982i) q^{5} +(-0.809017 + 0.587785i) q^{6} -0.329315i q^{7} +(0.587785 + 0.809017i) q^{8} +(-0.309017 - 0.951057i) q^{9} +(2.20402 - 0.377200i) q^{10} +(-1.55540 + 4.78704i) q^{11} +(-0.951057 + 0.309017i) q^{12} +(-0.458554 + 0.148993i) q^{13} +(0.101764 - 0.313197i) q^{14} +(-0.322342 + 2.21271i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-3.98877 - 5.49007i) q^{17} -1.00000i q^{18} +(4.40115 - 3.19762i) q^{19} +(2.21271 + 0.322342i) q^{20} +(0.266421 + 0.193566i) q^{21} +(-2.95855 + 4.07210i) q^{22} +(-6.18239 - 2.00878i) q^{23} -1.00000 q^{24} +(2.83755 - 4.11683i) q^{25} -0.482152 q^{26} +(0.951057 + 0.309017i) q^{27} +(0.193566 - 0.266421i) q^{28} +(-4.87203 - 3.53974i) q^{29} +(-0.990331 + 2.00481i) q^{30} +(-1.06685 + 0.775108i) q^{31} +1.00000i q^{32} +(-2.95855 - 4.07210i) q^{33} +(-2.09702 - 6.45396i) q^{34} +(-0.342428 - 0.651908i) q^{35} +(0.309017 - 0.951057i) q^{36} +(-0.741956 + 0.241076i) q^{37} +(5.17386 - 1.68109i) q^{38} +(0.148993 - 0.458554i) q^{39} +(2.00481 + 0.990331i) q^{40} +(3.86905 + 11.9077i) q^{41} +(0.193566 + 0.266421i) q^{42} +2.47582i q^{43} +(-4.07210 + 2.95855i) q^{44} +(-1.60065 - 1.56138i) q^{45} +(-5.25906 - 3.82093i) q^{46} +(-2.57473 + 3.54381i) q^{47} +(-0.951057 - 0.309017i) q^{48} +6.89155 q^{49} +(3.97084 - 3.03849i) q^{50} +6.78610 q^{51} +(-0.458554 - 0.148993i) q^{52} +(0.990953 - 1.36393i) q^{53} +(0.809017 + 0.587785i) q^{54} +(1.89860 + 11.0937i) q^{55} +(0.266421 - 0.193566i) q^{56} +5.44012i q^{57} +(-3.53974 - 4.87203i) q^{58} +(-0.313909 - 0.966113i) q^{59} +(-1.56138 + 1.60065i) q^{60} +(1.29419 - 3.98310i) q^{61} +(-1.25415 + 0.407499i) q^{62} +(-0.313197 + 0.101764i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(-0.752823 + 0.771759i) q^{65} +(-1.55540 - 4.78704i) q^{66} +(-1.84819 - 2.54381i) q^{67} -6.78610i q^{68} +(5.25906 - 3.82093i) q^{69} +(-0.124218 - 0.725818i) q^{70} +(-4.62101 - 3.35736i) q^{71} +(0.587785 - 0.809017i) q^{72} +(-2.79866 - 0.909340i) q^{73} -0.780139 q^{74} +(1.66272 + 4.71544i) q^{75} +5.44012 q^{76} +(1.57644 + 0.512218i) q^{77} +(0.283402 - 0.390069i) q^{78} +(6.86459 + 4.98742i) q^{79} +(1.60065 + 1.56138i) q^{80} +(-0.809017 + 0.587785i) q^{81} +12.5205i q^{82} +(10.1073 + 13.9114i) q^{83} +(0.101764 + 0.313197i) q^{84} +(-13.6048 - 6.72048i) q^{85} +(-0.765070 + 2.35464i) q^{86} +(5.72742 - 1.86095i) q^{87} +(-4.78704 + 1.55540i) q^{88} +(-1.06683 + 3.28336i) q^{89} +(-1.03982 - 1.97959i) q^{90} +(0.0490657 + 0.151009i) q^{91} +(-3.82093 - 5.25906i) q^{92} -1.31869i q^{93} +(-3.54381 + 2.57473i) q^{94} +(5.38752 - 10.9064i) q^{95} +(-0.809017 - 0.587785i) q^{96} +(-5.58986 + 7.69378i) q^{97} +(6.55426 + 2.12961i) q^{98} +5.03339 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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