LMFDB - Embedded newform 165.2.m.d.16.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(16,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 0, 4]))

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

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

chi := DirichletCharacter("165.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.m (of order $5$, 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:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.13140625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 $ x^8 - 3x^7 + 5x^6 - 3x^5 + 4x^4 + 3x^3 + 5x^2 + 3*x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			16.2
Root			$1.69513 - 1.23158i$ of defining polynomial
Character	$\chi$	$=$	165.16
Dual form			165.2.m.d.31.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.338464 + 1.04169i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(0.647481 - 0.470423i) q^{4} +(0.309017 - 0.951057i) q^{5} +(0.338464 - 1.04169i) q^{6} +(0.570387 - 0.414410i) q^{7} +(2.48141 + 1.80285i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.338464 + 1.04169i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(0.647481 - 0.470423i) q^{4} +(0.309017 - 0.951057i) q^{5} +(0.338464 - 1.04169i) q^{6} +(0.570387 - 0.414410i) q^{7} +(2.48141 + 1.80285i) q^{8} +(0.309017 + 0.951057i) q^{9} +1.09529 q^{10} +(3.31118 + 0.189896i) q^{11} -0.800331 q^{12} +(-1.45650 - 4.48264i) q^{13} +(0.624741 + 0.453901i) q^{14} +(-0.809017 + 0.587785i) q^{15} +(-0.543502 + 1.67273i) q^{16} +(-2.40431 + 7.39971i) q^{17} +(-0.886111 + 0.643798i) q^{18} +(0.970553 + 0.705148i) q^{19} +(-0.247316 - 0.761160i) q^{20} -0.705037 q^{21} +(0.922906 + 3.51349i) q^{22} -6.89318 q^{23} +(-0.947813 - 2.91707i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(4.17653 - 3.03443i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.174367 - 0.536646i) q^{28} +(-1.07389 + 0.780229i) q^{29} +(-0.886111 - 0.643798i) q^{30} +(-2.37364 - 7.30532i) q^{31} +4.20796 q^{32} +(-2.56719 - 2.09989i) q^{33} -8.52195 q^{34} +(-0.217868 - 0.670530i) q^{35} +(0.647481 + 0.470423i) q^{36} +(-6.82618 + 4.95951i) q^{37} +(-0.406045 + 1.24968i) q^{38} +(-1.45650 + 4.48264i) q^{39} +(2.48141 - 1.80285i) q^{40} +(0.188421 + 0.136896i) q^{41} +(-0.238630 - 0.734428i) q^{42} +7.32892 q^{43} +(2.23326 - 1.43470i) q^{44} +1.00000 q^{45} +(-2.33310 - 7.18053i) q^{46} +(-6.73287 - 4.89171i) q^{47} +(1.42291 - 1.03380i) q^{48} +(-2.00951 + 6.18465i) q^{49} +(0.338464 - 1.04169i) q^{50} +(6.29457 - 4.57327i) q^{51} +(-3.05179 - 2.21726i) q^{52} +(2.10852 + 6.48936i) q^{53} +1.09529 q^{54} +(1.20381 - 3.09044i) q^{55} +2.16248 q^{56} +(-0.370718 - 1.14095i) q^{57} +(-1.17623 - 0.854580i) q^{58} +(2.86401 - 2.08083i) q^{59} +(-0.247316 + 0.761160i) q^{60} +(-3.35959 + 10.3397i) q^{61} +(6.80645 - 4.94518i) q^{62} +(0.570387 + 0.414410i) q^{63} +(2.51125 + 7.72883i) q^{64} -4.71333 q^{65} +(1.31853 - 3.38494i) q^{66} -2.04036 q^{67} +(1.92424 + 5.92222i) q^{68} +(5.57670 + 4.05171i) q^{69} +(0.624741 - 0.453901i) q^{70} +(0.207204 - 0.637709i) q^{71} +(-0.947813 + 2.91707i) q^{72} +(4.04859 - 2.94147i) q^{73} +(-7.47668 - 5.43212i) q^{74} +(0.309017 + 0.951057i) q^{75} +0.960132 q^{76} +(1.96735 - 1.26387i) q^{77} -5.16248 q^{78} +(0.704642 + 2.16867i) q^{79} +(1.42291 + 1.03380i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.0788288 + 0.242610i) q^{82} +(-0.652022 + 2.00672i) q^{83} +(-0.456498 + 0.331666i) q^{84} +(6.29457 + 4.57327i) q^{85} +(2.48058 + 7.63443i) q^{86} +1.32741 q^{87} +(7.87404 + 6.44077i) q^{88} -3.34722 q^{89} +(0.338464 + 1.04169i) q^{90} +(-2.68842 - 1.95325i) q^{91} +(-4.46321 + 3.24271i) q^{92} +(-2.37364 + 7.30532i) q^{93} +(2.81680 - 8.66921i) q^{94} +(0.970553 - 0.705148i) q^{95} +(-3.40431 - 2.47338i) q^{96} +(1.02664 + 3.15968i) q^{97} -7.12261 q^{98} +(0.842610 + 3.20780i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9	\( 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9} - 6 q^{10} + 3 q^{11} + 2 q^{12} - 4 q^{13} - 4 q^{14} - 2 q^{15} - 12 q^{16} - q^{18} + 2 q^{19} - 3 q^{20} - 12 q^{21} + 9 q^{22} - 6 q^{23} + 4 q^{24} - 2 q^{25} + 2 q^{26} - 2 q^{27} - 11 q^{28} + 10 q^{29} - q^{30} + 19 q^{31} + 12 q^{32} - 2 q^{33} - 6 q^{34} + 3 q^{35} + 2 q^{36} - q^{37} - 20 q^{38} - 4 q^{39} - q^{40} - 9 q^{41} + q^{42} + 17 q^{44} + 8 q^{45} - 22 q^{46} - 19 q^{47} + 13 q^{48} + q^{49} + 4 q^{50} + 10 q^{51} - 2 q^{52} + 25 q^{53} - 6 q^{54} + 3 q^{55} - 16 q^{56} + 7 q^{57} - 12 q^{58} + 13 q^{59} - 3 q^{60} + 13 q^{61} + 35 q^{62} + 3 q^{63} + 39 q^{64} - 14 q^{65} - 11 q^{66} + 2 q^{67} + 19 q^{68} + 9 q^{69} - 4 q^{70} - 11 q^{71} + 4 q^{72} - 7 q^{73} - 43 q^{74} - 2 q^{75} - 38 q^{76} - 7 q^{77} - 8 q^{78} - 22 q^{79} + 13 q^{80} - 2 q^{81} - 35 q^{82} - 21 q^{83} + 4 q^{84} + 10 q^{85} + 20 q^{86} - 30 q^{87} + 59 q^{88} - 20 q^{89} + 4 q^{90} - 11 q^{91} - 28 q^{92} + 19 q^{93} - 35 q^{94} + 2 q^{95} - 8 q^{96} + 31 q^{97} + 22 q^{98} - 7 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9 - 6 * q^10 + 3 * q^11 + 2 * q^12 - 4 * q^13 - 4 * q^14 - 2 * q^15 - 12 * q^16 - q^18 + 2 * q^19 - 3 * q^20 - 12 * q^21 + 9 * q^22 - 6 * q^23 + 4 * q^24 - 2 * q^25 + 2 * q^26 - 2 * q^27 - 11 * q^28 + 10 * q^29 - q^30 + 19 * q^31 + 12 * q^32 - 2 * q^33 - 6 * q^34 + 3 * q^35 + 2 * q^36 - q^37 - 20 * q^38 - 4 * q^39 - q^40 - 9 * q^41 + q^42 + 17 * q^44 + 8 * q^45 - 22 * q^46 - 19 * q^47 + 13 * q^48 + q^49 + 4 * q^50 + 10 * q^51 - 2 * q^52 + 25 * q^53 - 6 * q^54 + 3 * q^55 - 16 * q^56 + 7 * q^57 - 12 * q^58 + 13 * q^59 - 3 * q^60 + 13 * q^61 + 35 * q^62 + 3 * q^63 + 39 * q^64 - 14 * q^65 - 11 * q^66 + 2 * q^67 + 19 * q^68 + 9 * q^69 - 4 * q^70 - 11 * q^71 + 4 * q^72 - 7 * q^73 - 43 * q^74 - 2 * q^75 - 38 * q^76 - 7 * q^77 - 8 * q^78 - 22 * q^79 + 13 * q^80 - 2 * q^81 - 35 * q^82 - 21 * q^83 + 4 * q^84 + 10 * q^85 + 20 * q^86 - 30 * q^87 + 59 * q^88 - 20 * q^89 + 4 * q^90 - 11 * q^91 - 28 * q^92 + 19 * q^93 - 35 * q^94 + 2 * q^95 - 8 * q^96 + 31 * q^97 + 22 * q^98 - 7 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$	$1$

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 $

$2$	0.338464	+	1.04169i	0.239331	+	0.736584i	0.996517	+	0.0833853i	$0.0265732\pi$
$2$	0.338464	+	1.04169i	0.239331	+	0.736584i	−0.757187	+	0.653198i	$0.773427\pi$
$3$	−0.809017	−	0.587785i	−0.467086	−	0.339358i
$3$	−0.809017	−	0.587785i	−0.467086	−	0.339358i
$4$	0.647481	−	0.470423i	0.323741	−	0.235211i
$5$	0.309017	−	0.951057i	0.138197	−	0.425325i
$5$	0.309017	−	0.951057i	0.138197	−	0.425325i
$6$	0.338464	−	1.04169i	0.138178	−	0.425267i
$7$	0.570387	−	0.414410i	0.215586	−	0.156632i	−0.474751	−	0.880120i	$-0.657462\pi$
$7$	0.570387	−	0.414410i	0.215586	−	0.156632i	0.690337	+	0.723487i	$0.257462\pi$
$8$	2.48141	+	1.80285i	0.877309	+	0.637403i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	1.09529			0.346362
$11$	3.31118	+	0.189896i	0.998360	+	0.0572559i
$11$	3.31118	+	0.189896i	0.998360	+	0.0572559i
$12$	−0.800331			−0.231036
$13$	−1.45650	−	4.48264i	−0.403960	−	1.24326i	−0.921761	−	0.387760i	$-0.873249\pi$
$13$	−1.45650	−	4.48264i	−0.403960	−	1.24326i	0.517801	−	0.855501i	$-0.326751\pi$
$14$	0.624741	+	0.453901i	0.166969	+	0.121310i
$15$	−0.809017	+	0.587785i	−0.208887	+	0.151765i
$16$	−0.543502	+	1.67273i	−0.135875	+	0.418181i
$17$	−2.40431	+	7.39971i	−0.583131	+	1.79469i	0.0235184	+	0.999723i	$0.492513\pi$
$17$	−2.40431	+	7.39971i	−0.583131	+	1.79469i	−0.606649	+	0.794969i	$0.707487\pi$
$18$	−0.886111	+	0.643798i	−0.208858	+	0.151745i
$19$	0.970553	+	0.705148i	0.222660	+	0.161772i	0.693523	−	0.720434i	$-0.256057\pi$
$19$	0.970553	+	0.705148i	0.222660	+	0.161772i	−0.470863	+	0.882206i	$0.656057\pi$
$20$	−0.247316	−	0.761160i	−0.0553015	−	0.170201i
$21$	−0.705037			−0.153852
$22$	0.922906	+	3.51349i	0.196764	+	0.749078i
$23$	−6.89318			−1.43733			−0.718664	−	0.695358i	$-0.755246\pi$
$23$	−6.89318			−1.43733			−0.718664	+	0.695358i	$0.755246\pi$
$24$	−0.947813	−	2.91707i	−0.193471	−	0.595444i
$25$	−0.809017	−	0.587785i	−0.161803	−	0.117557i
$26$	4.17653	−	3.03443i	0.819086	−	0.595101i
$27$	0.309017	−	0.951057i	0.0594703	−	0.183031i
$28$	0.174367	−	0.536646i	0.0329522	−	0.101417i
$29$	−1.07389	+	0.780229i	−0.199417	+	0.144885i	−0.683013	−	0.730407i	$-0.739331\pi$
$29$	−1.07389	+	0.780229i	−0.199417	+	0.144885i	0.483596	+	0.875292i	$0.339331\pi$
$30$	−0.886111	−	0.643798i	−0.161781	−	0.117541i
$31$	−2.37364	−	7.30532i	−0.426318	−	1.31207i	−0.901726	−	0.432308i	$-0.857699\pi$
$31$	−2.37364	−	7.30532i	−0.426318	−	1.31207i	0.475408	−	0.879766i	$-0.342301\pi$
$32$	4.20796			0.743869
$33$	−2.56719	−	2.09989i	−0.446890	−	0.365545i
$34$	−8.52195			−1.46150
$35$	−0.217868	−	0.670530i	−0.0368265	−	0.113340i
$36$	0.647481	+	0.470423i	0.107914	+	0.0784038i
$37$	−6.82618	+	4.95951i	−1.12222	+	0.815339i	−0.984544	−	0.175139i	$-0.943963\pi$
$37$	−6.82618	+	4.95951i	−1.12222	+	0.815339i	−0.137674	+	0.990478i	$0.543963\pi$
$38$	−0.406045	+	1.24968i	−0.0658692	+	0.202725i
$39$	−1.45650	+	4.48264i	−0.233226	+	0.717797i
$40$	2.48141	−	1.80285i	0.392345	−	0.285055i
$41$	0.188421	+	0.136896i	0.0294264	+	0.0213795i	0.602401	−	0.798193i	$-0.294211\pi$
$41$	0.188421	+	0.136896i	0.0294264	+	0.0213795i	−0.572975	+	0.819573i	$0.694211\pi$
$42$	−0.238630	−	0.734428i	−0.0368214	−	0.113325i
$43$	7.32892			1.11765			0.558825	−	0.829286i	$-0.311252\pi$
$43$	7.32892			1.11765			0.558825	+	0.829286i	$0.311252\pi$
$44$	2.23326	−	1.43470i	0.336677	−	0.216289i
$45$	1.00000			0.149071
$46$	−2.33310	−	7.18053i	−0.343996	−	1.05871i
$47$	−6.73287	−	4.89171i	−0.982090	−	0.713530i	−0.0239149	−	0.999714i	$-0.507613\pi$
$47$	−6.73287	−	4.89171i	−0.982090	−	0.713530i	−0.958175	+	0.286184i	$0.907613\pi$
$48$	1.42291	−	1.03380i	0.205379	−	0.149216i
$49$	−2.00951	+	6.18465i	−0.287073	+	0.883521i
$50$	0.338464	−	1.04169i	0.0478661	−	0.147317i
$51$	6.29457	−	4.57327i	0.881416	−	0.640386i
$52$	−3.05179	−	2.21726i	−0.423207	−	0.307478i
$53$	2.10852	+	6.48936i	0.289628	+	0.891382i	0.984973	+	0.172707i	$0.0552512\pi$
$53$	2.10852	+	6.48936i	0.289628	+	0.891382i	−0.695346	+	0.718675i	$0.744749\pi$
$54$	1.09529			0.149051
$55$	1.20381	−	3.09044i	0.162322	−	0.416715i
$56$	2.16248			0.288974
$57$	−0.370718	−	1.14095i	−0.0491028	−	0.151123i
$58$	−1.17623	−	0.854580i	−0.154446	−	0.112212i
$59$	2.86401	−	2.08083i	0.372862	−	0.270900i	−0.385534	−	0.922693i	$-0.625983\pi$
$59$	2.86401	−	2.08083i	0.372862	−	0.270900i	0.758397	+	0.651793i	$0.225983\pi$
$60$	−0.247316	+	0.761160i	−0.0319283	+	0.0982653i
$61$	−3.35959	+	10.3397i	−0.430151	+	1.32387i	0.467824	+	0.883822i	$0.345038\pi$
$61$	−3.35959	+	10.3397i	−0.430151	+	1.32387i	−0.897975	+	0.440047i	$0.854962\pi$
$62$	6.80645	−	4.94518i	0.864421	−	0.628038i
$63$	0.570387	+	0.414410i	0.0718620	+	0.0522108i
$64$	2.51125	+	7.72883i	0.313906	+	0.966103i
$65$	−4.71333			−0.584616
$66$	1.31853	−	3.38494i	0.162300	−	0.416658i
$67$	−2.04036			−0.249269			−0.124635	−	0.992203i	$-0.539776\pi$
$67$	−2.04036			−0.249269			−0.124635	+	0.992203i	$0.539776\pi$
$68$	1.92424	+	5.92222i	0.233349	+	0.718174i
$69$	5.57670	+	4.05171i	0.671356	+	0.487768i
$70$	0.624741	−	0.453901i	0.0746709	−	0.0542516i
$71$	0.207204	−	0.637709i	0.0245906	−	0.0756821i	−0.938008	−	0.346613i	$-0.887332\pi$
$71$	0.207204	−	0.637709i	0.0245906	−	0.0756821i	0.962599	+	0.270931i	$0.0873316\pi$
$72$	−0.947813	+	2.91707i	−0.111701	+	0.343780i
$73$	4.04859	−	2.94147i	0.473852	−	0.344273i	−0.325089	−	0.945684i	$-0.605394\pi$
$73$	4.04859	−	2.94147i	0.473852	−	0.344273i	0.798941	+	0.601410i	$0.205394\pi$
$74$	−7.47668	−	5.43212i	−0.869146	−	0.631472i
$75$	0.309017	+	0.951057i	0.0356822	+	0.109819i
$76$	0.960132			0.110135
$77$	1.96735	−	1.26387i	0.224200	−	0.144032i
$78$	−5.16248			−0.584536
$79$	0.704642	+	2.16867i	0.0792784	+	0.243994i	0.982839	−	0.184467i	$-0.0590559\pi$
$79$	0.704642	+	2.16867i	0.0792784	+	0.243994i	−0.903560	+	0.428461i	$0.859056\pi$
$80$	1.42291	+	1.03380i	0.159086	+	0.115583i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−0.0788288	+	0.242610i	−0.00870518	+	0.0267918i
$83$	−0.652022	+	2.00672i	−0.0715687	+	0.220266i	−0.980443	−	0.196805i	$-0.936943\pi$
$83$	−0.652022	+	2.00672i	−0.0715687	+	0.220266i	0.908874	+	0.417071i	$0.136943\pi$
$84$	−0.456498	+	0.331666i	−0.0498081	+	0.0361877i
$85$	6.29457	+	4.57327i	0.682742	+	0.496041i
$86$	2.48058	+	7.63443i	0.267488	+	0.823242i
$87$	1.32741			0.142313
$88$	7.87404	+	6.44077i	0.839375	+	0.686588i
$89$	−3.34722			−0.354805			−0.177402	−	0.984138i	$-0.556769\pi$
$89$	−3.34722			−0.354805			−0.177402	+	0.984138i	$0.556769\pi$
$90$	0.338464	+	1.04169i	0.0356773	+	0.109803i
$91$	−2.68842	−	1.95325i	−0.281823	−	0.204756i
$92$	−4.46321	+	3.24271i	−0.465321	+	0.338076i
$93$	−2.37364	+	7.30532i	−0.246135	+	0.757526i
$94$	2.81680	−	8.66921i	0.290530	−	0.894160i
$95$	0.970553	−	0.705148i	0.0995766	−	0.0723466i
$96$	−3.40431	−	2.47338i	−0.347451	−	0.252438i
$97$	1.02664	+	3.15968i	0.104240	+	0.320817i	0.989551	−	0.144182i	$-0.0460550\pi$
$97$	1.02664	+	3.15968i	0.104240	+	0.320817i	−0.885312	+	0.464998i	$0.846055\pi$
$98$	−7.12261			−0.719492
$99$	0.842610	+	3.20780i	0.0846855	+	0.322396i
$100$	−0.800331			−0.0800331
$101$	−5.84715	−	17.9957i	−0.581813	−	1.79064i	−0.611708	−	0.791084i	$-0.709517\pi$
$101$	−5.84715	−	17.9957i	−0.581813	−	1.79064i	0.0298945	−	0.999553i	$-0.490483\pi$
$102$	6.89440	+	5.00908i	0.682648	+	0.495972i
$103$	14.6403	−	10.6368i	1.44255	−	1.04807i	0.455049	−	0.890467i	$-0.349622\pi$
$103$	14.6403	−	10.6368i	1.44255	−	1.04807i	0.987502	−	0.157608i	$-0.0503782\pi$
$104$	4.46735	−	13.7491i	0.438060	−	1.34821i
$105$	−0.217868	+	0.670530i	−0.0212618	+	0.0654370i
$106$	−6.04622	+	4.39283i	−0.587261	+	0.426670i
$107$	4.95074	+	3.59692i	0.478606	+	0.347727i	0.800786	−	0.598951i	$-0.204416\pi$
$107$	4.95074	+	3.59692i	0.478606	+	0.347727i	−0.322180	+	0.946678i	$0.604416\pi$
$108$	−0.247316	−	0.761160i	−0.0237980	−	0.0732427i
$109$	9.03128			0.865039			0.432520	−	0.901625i	$-0.357625\pi$
$109$	9.03128			0.865039			0.432520	+	0.901625i	$0.357625\pi$
$110$	3.62672	+	0.207992i	0.345794	+	0.0198313i
$111$	8.43763			0.800864
$112$	0.383189	+	1.17933i	0.0362079	+	0.111437i
$113$	−3.16879	−	2.30226i	−0.298095	−	0.216579i	0.428676	−	0.903458i	$-0.358980\pi$
$113$	−3.16879	−	2.30226i	−0.298095	−	0.216579i	−0.726771	+	0.686879i	$0.758980\pi$
$114$	1.06304	−	0.772344i	0.0995629	−	0.0723366i
$115$	−2.13011	+	6.55580i	−0.198634	+	0.611332i
$116$	−0.328288	+	1.01037i	−0.0304808	+	0.0938103i
$117$	3.81316	−	2.77042i	0.352527	−	0.256126i
$118$	3.13693	+	2.27912i	0.288778	+	0.209810i
$119$	1.69513	+	5.21707i	0.155392	+	0.478248i
$120$	−3.06719			−0.279994
$121$	10.9279	+	1.25756i	0.993444	+	0.114324i
$122$	−11.9079			−1.07809
$123$	−0.0719704	−	0.221502i	−0.00648935	−	0.0199722i
$124$	−4.97348	−	3.61344i	−0.446631	−	0.324497i
$125$	−0.809017	+	0.587785i	−0.0723607	+	0.0525731i
$126$	−0.238630	+	0.734428i	−0.0212588	+	0.0654280i
$127$	3.35825	−	10.3356i	0.297996	−	0.917138i	−0.684202	−	0.729292i	$-0.739849\pi$
$127$	3.35825	−	10.3356i	0.297996	−	0.917138i	0.982199	−	0.187846i	$-0.0601506\pi$
$128$	−0.392424	+	0.285113i	−0.0346857	+	0.0252006i
$129$	−5.92922	−	4.30783i	−0.522039	−	0.379283i
$130$	−1.59529	−	4.90981i	−0.139917	−	0.430619i
$131$	−11.7094			−1.02305			−0.511526	−	0.859268i	$-0.670920\pi$
$131$	−11.7094			−1.02305			−0.511526	+	0.859268i	$0.670920\pi$
$132$	−2.65004	−	0.151980i	−0.230657	−	0.0132282i
$133$	0.845811			0.0733411
$134$	−0.690588	−	2.12541i	−0.0596577	−	0.183608i
$135$	−0.809017	−	0.587785i	−0.0696291	−	0.0505885i
$136$	−19.3066	+	14.0271i	−1.65553	+	1.20281i
$137$	6.31328	−	19.4303i	0.539380	−	1.66004i	−0.194611	−	0.980881i	$-0.562344\pi$
$137$	6.31328	−	19.4303i	0.539380	−	1.66004i	0.733990	−	0.679160i	$-0.237656\pi$
$138$	−2.33310	+	7.18053i	−0.198606	+	0.611247i
$139$	6.61048	−	4.80280i	0.560694	−	0.407368i	−0.271019	−	0.962574i	$-0.587361\pi$
$139$	6.61048	−	4.80280i	0.560694	−	0.407368i	0.831713	+	0.555206i	$0.187361\pi$
$140$	−0.456498	−	0.331666i	−0.0385812	−	0.0280309i
$141$	2.57173	+	7.91496i	0.216578	+	0.666560i
$142$	0.734424			0.0616315
$143$	−3.97150	−	15.1194i	−0.332113	−	1.26435i
$144$	−1.75881			−0.146567
$145$	0.410191	+	1.26244i	0.0340645	+	0.104840i
$146$	4.43440	+	3.22178i	0.366993	+	0.266636i
$147$	5.26097	−	3.82232i	0.433918	−	0.315260i
$148$	−2.08676	+	6.42238i	−0.171531	+	0.527917i
$149$	−2.96723	+	9.13221i	−0.243085	+	0.748140i	0.752860	+	0.658181i	$0.228674\pi$
$149$	−2.96723	+	9.13221i	−0.243085	+	0.748140i	−0.995945	+	0.0899592i	$0.971326\pi$
$150$	−0.886111	+	0.643798i	−0.0723507	+	0.0525659i
$151$	−5.58850	−	4.06028i	−0.454785	−	0.330421i	0.336697	−	0.941613i	$-0.390690\pi$
$151$	−5.58850	−	4.06028i	−0.454785	−	0.330421i	−0.791482	+	0.611192i	$0.790690\pi$
$152$	1.13706	+	3.49951i	0.0922278	+	0.283848i
$153$	−7.78051			−0.629017
$154$	1.98244	+	1.62159i	0.159750	+	0.130671i
$155$	−7.68126			−0.616974
$156$	1.16568	+	3.58760i	0.0933292	+	0.287238i
$157$	−9.18388	−	6.67248i	−0.732953	−	0.532522i	0.157543	−	0.987512i	$-0.449643\pi$
$157$	−9.18388	−	6.67248i	−0.732953	−	0.532522i	−0.890496	+	0.454990i	$0.849643\pi$
$158$	−2.02057	+	1.46803i	−0.160748	+	0.116790i
$159$	2.10852	−	6.48936i	0.167217	−	0.514640i
$160$	1.30033	−	4.00201i	0.102800	−	0.316386i
$161$	−3.93178	+	2.85661i	−0.309868	+	0.225132i
$162$	−0.886111	−	0.643798i	−0.0696195	−	0.0505815i
$163$	−0.553922	−	1.70480i	−0.0433865	−	0.133530i	0.927017	−	0.375020i	$-0.122364\pi$
$163$	−0.553922	−	1.70480i	−0.0433865	−	0.133530i	−0.970403	+	0.241490i	$0.922364\pi$
$164$	0.186398			0.0145552
$165$	−2.79042	+	1.79264i	−0.217234	+	0.139556i
$166$	−2.31106			−0.179373
$167$	1.86167	+	5.72964i	0.144060	+	0.443373i	0.996889	−	0.0788186i	$-0.0251148\pi$
$167$	1.86167	+	5.72964i	0.144060	+	0.443373i	−0.852829	+	0.522191i	$0.825115\pi$
$168$	−1.74948	−	1.27107i	−0.134976	−	0.0980655i
$169$	−7.45546	+	5.41671i	−0.573497	+	0.416670i
$170$	−2.63343	+	8.10486i	−0.201975	+	0.621614i
$171$	−0.370718	+	1.14095i	−0.0283495	+	0.0872509i
$172$	4.74534	−	3.44769i	0.361829	−	0.262884i
$173$	−3.38715	−	2.46091i	−0.257520	−	0.187099i	0.451533	−	0.892254i	$-0.350877\pi$
$173$	−3.38715	−	2.46091i	−0.257520	−	0.187099i	−0.709053	+	0.705155i	$0.750877\pi$
$174$	0.449279	+	1.38274i	0.0340598	+	0.104825i
$175$	−0.705037			−0.0532958
$176$	−2.11728	+	5.43549i	−0.159596	+	0.409716i
$177$	−3.54011			−0.266091
$178$	−1.13292	−	3.48676i	−0.0849156	−	0.261343i
$179$	−3.92507	−	2.85173i	−0.293374	−	0.213148i	0.431356	−	0.902182i	$-0.358035\pi$
$179$	−3.92507	−	2.85173i	−0.293374	−	0.213148i	−0.724730	+	0.689033i	$0.758035\pi$
$180$	0.647481	−	0.470423i	0.0482604	−	0.0350632i
$181$	−7.13450	+	21.9577i	−0.530303	+	1.63211i	0.223281	+	0.974754i	$0.428323\pi$
$181$	−7.13450	+	21.9577i	−0.530303	+	1.63211i	−0.753584	+	0.657351i	$0.771677\pi$
$182$	1.12474	−	3.46160i	0.0833714	−	0.256591i
$183$	8.79551	−	6.39031i	0.650183	−	0.472386i
$184$	−17.1048	−	12.4273i	−1.26098	−	0.916156i
$185$	2.60737	+	8.02466i	0.191698	+	0.589985i
$186$	−8.41324			−0.616889
$187$	−9.36629	+	24.0452i	−0.684931	+	1.75836i
$188$	−6.66058			−0.485773
$189$	−0.217868	−	0.670530i	−0.0158476	−	0.0487739i
$190$	1.06304	+	0.772344i	0.0771211	+	0.0560317i
$191$	−5.03670	+	3.65938i	−0.364443	+	0.264783i	−0.754903	−	0.655837i	$-0.772316\pi$
$191$	−5.03670	+	3.65938i	−0.364443	+	0.264783i	0.390460	+	0.920620i	$0.372316\pi$
$192$	2.51125	−	7.72883i	0.181234	−	0.557780i
$193$	5.89815	−	18.1526i	0.424558	−	1.30666i	−0.478858	−	0.877892i	$-0.658949\pi$
$193$	5.89815	−	18.1526i	0.424558	−	1.30666i	0.903417	−	0.428764i	$-0.141051\pi$
$194$	−2.94391	+	2.13888i	−0.211361	+	0.153562i
$195$	3.81316	+	2.77042i	0.273066	+	0.198394i
$196$	1.60828	+	4.94977i	0.114877	+	0.353555i
$197$	6.80056			0.484520			0.242260	−	0.970211i	$-0.422111\pi$
$197$	6.80056			0.484520			0.242260	+	0.970211i	$0.422111\pi$
$198$	−3.05633	+	1.96346i	−0.217204	+	0.139537i
$199$	21.2972			1.50972			0.754860	−	0.655886i	$-0.227705\pi$
$199$	21.2972			1.50972			0.754860	+	0.655886i	$0.227705\pi$
$200$	−0.947813	−	2.91707i	−0.0670205	−	0.206268i
$201$	1.65068	+	1.19929i	0.116430	+	0.0845915i
$202$	16.7668	−	12.1818i	1.17971	−	0.857108i
$203$	−0.289200	+	0.890065i	−0.0202978	+	0.0624703i
$204$	1.92424	−	5.92222i	0.134724	−	0.414638i
$205$	0.188421	−	0.136896i	0.0131599	−	0.00956122i
$206$	16.0354	+	11.6504i	1.11724	+	0.811723i
$207$	−2.13011	−	6.55580i	−0.148053	−	0.455660i
$208$	8.28984			0.574797
$209$	3.07977	+	2.51918i	0.213032	+	0.174255i
$210$	−0.772223			−0.0532884
$211$	−2.74739	−	8.45559i	−0.189138	−	0.582107i	0.810857	−	0.585244i	$-0.199001\pi$
$211$	−2.74739	−	8.45559i	−0.189138	−	0.582107i	−0.999995	+	0.00313734i	$0.999001\pi$
$212$	4.41797	+	3.20984i	0.303427	+	0.220453i
$213$	−0.542467	+	0.394126i	−0.0371692	+	0.0270050i
$214$	−2.07121	+	6.37454i	−0.141585	+	0.435755i
$215$	2.26476	−	6.97021i	0.154455	−	0.475365i
$216$	2.48141	−	1.80285i	0.168838	−	0.122668i
$217$	−4.38129	−	3.18320i	−0.297422	−	0.216089i
$218$	3.05677	+	9.40776i	0.207030	+	0.637174i
$219$	−5.00433			−0.338162
$220$	−0.674367	−	2.56731i	−0.0454658	−	0.173088i
$221$	36.6721			2.46683
$222$	2.85584	+	8.78936i	0.191671	+	0.589903i
$223$	−4.38261	−	3.18415i	−0.293481	−	0.213226i	0.431295	−	0.902211i	$-0.358057\pi$
$223$	−4.38261	−	3.18415i	−0.293481	−	0.213226i	−0.724776	+	0.688985i	$0.758057\pi$
$224$	2.40017	−	1.74382i	0.160368	−	0.116514i
$225$	0.309017	−	0.951057i	0.0206011	−	0.0634038i
$226$	1.32571	−	4.08012i	0.0881850	−	0.271406i
$227$	6.82682	−	4.95998i	0.453112	−	0.329205i	−0.337711	−	0.941250i	$-0.609653\pi$
$227$	6.82682	−	4.95998i	0.453112	−	0.329205i	0.790823	+	0.612045i	$0.209653\pi$
$228$	−0.776763	−	0.564352i	−0.0514424	−	0.0373751i
$229$	−3.46262	−	10.6569i	−0.228817	−	0.704225i	−0.997882	−	0.0650545i	$-0.979278\pi$
$229$	−3.46262	−	10.6569i	−0.228817	−	0.704225i	0.769065	−	0.639170i	$-0.220722\pi$
$230$	−7.55006			−0.497836
$231$	−2.33451	−	0.133884i	−0.153599	−	0.00880892i
$232$	−4.07140			−0.267300
$233$	1.80459	+	5.55397i	0.118223	+	0.363852i	0.992606	−	0.121384i	$-0.0387334\pi$
$233$	1.80459	+	5.55397i	0.118223	+	0.363852i	−0.874383	+	0.485237i	$0.838733\pi$
$234$	4.17653	+	3.03443i	0.273029	+	0.198367i
$235$	−6.73287	+	4.89171i	−0.439204	+	0.319100i
$236$	0.875526	−	2.69459i	0.0569919	−	0.175403i
$237$	0.704642	−	2.16867i	0.0457714	−	0.140870i
$238$	−4.86081	+	3.53158i	−0.315079	+	0.228919i
$239$	13.3699	+	9.71382i	0.864829	+	0.628335i	0.929194	−	0.369592i	$-0.120502\pi$
$239$	13.3699	+	9.71382i	0.864829	+	0.628335i	−0.0643656	+	0.997926i	$0.520502\pi$
$240$	−0.543502	−	1.67273i	−0.0350829	−	0.107974i
$241$	−3.29180			−0.212043			−0.106022	−	0.994364i	$-0.533811\pi$
$241$	−3.29180			−0.212043			−0.106022	+	0.994364i	$0.533811\pi$
$242$	2.38871	+	11.8091i	0.153552	+	0.759115i
$243$	1.00000			0.0641500
$244$	2.68878	+	8.27522i	0.172132	+	0.529767i
$245$	5.26097	+	3.82232i	0.336111	+	0.244199i
$246$	0.206376	−	0.149941i	0.0131581	−	0.00955990i
$247$	1.74732	−	5.37769i	0.111179	−	0.342174i
$248$	7.28040	−	22.4068i	0.462306	−	1.42283i
$249$	1.70702	−	1.24022i	0.108178	−	0.0785957i
$250$	−0.886111	−	0.643798i	−0.0560426	−	0.0407173i
$251$	−2.28652	−	7.03719i	−0.144324	−	0.444183i	0.852600	−	0.522565i	$-0.175025\pi$
$251$	−2.28652	−	7.03719i	−0.144324	−	0.444183i	−0.996923	+	0.0783815i	$0.975025\pi$
$252$	0.564263			0.0355452
$253$	−22.8246	−	1.30899i	−1.43497	−	0.0822955i
$254$	11.9031			0.746869
$255$	−2.40431	−	7.39971i	−0.150564	−	0.463388i
$256$	12.7192	+	9.24107i	0.794953	+	0.577567i
$257$	15.1279	−	10.9911i	0.943653	−	0.685604i	−0.00564422	−	0.999984i	$-0.501797\pi$
$257$	15.1279	−	10.9911i	0.943653	−	0.685604i	0.949297	+	0.314380i	$0.101797\pi$
$258$	2.48058	−	7.63443i	0.154434	−	0.475299i
$259$	−1.83829	+	5.65768i	−0.114226	+	0.351551i
$260$	−3.05179	+	2.21726i	−0.189264	+	0.137508i
$261$	−1.07389	−	0.780229i	−0.0664723	−	0.0482950i
$262$	−3.96321	−	12.1975i	−0.244848	−	0.753564i
$263$	3.99020			0.246046			0.123023	−	0.992404i	$-0.460741\pi$
$263$	3.99020			0.246046			0.123023	+	0.992404i	$0.460741\pi$
$264$	−2.58444	−	9.83893i	−0.159061	−	0.605544i
$265$	6.82332			0.419153
$266$	0.286277	+	0.881070i	0.0175528	+	0.0540219i
$267$	2.70796	+	1.96745i	0.165724	+	0.120406i
$268$	−1.32109	+	0.959830i	−0.0806986	+	0.0586309i
$269$	−3.92915	+	12.0927i	−0.239564	+	0.737303i	0.756919	+	0.653509i	$0.226704\pi$
$269$	−3.92915	+	12.0927i	−0.239564	+	0.737303i	−0.996483	+	0.0837941i	$0.973296\pi$
$270$	0.338464	−	1.04169i	0.0205983	−	0.0633950i
$271$	−19.2773	+	14.0057i	−1.17101	+	0.850788i	−0.991129	−	0.132900i	$-0.957571\pi$
$271$	−19.2773	+	14.0057i	−1.17101	+	0.850788i	−0.179880	+	0.983689i	$0.557571\pi$
$272$	−11.0709	−	8.04351i	−0.671274	−	0.487709i
$273$	1.02689	+	3.16043i	0.0621499	+	0.191278i
$274$	22.3771			1.35185
$275$	−2.56719	−	2.09989i	−0.154807	−	0.126628i
$276$	5.51683			0.332074
$277$	2.29059	+	7.04973i	0.137628	+	0.423577i	0.995990	−	0.0894691i	$-0.0285170\pi$
$277$	2.29059	+	7.04973i	0.137628	+	0.423577i	−0.858361	+	0.513046i	$0.828517\pi$
$278$	7.24042	+	5.26047i	0.434252	+	0.315502i
$279$	6.21427	−	4.51493i	0.372039	−	0.270302i
$280$	0.668243	−	2.05664i	0.0399352	−	0.122908i
$281$	−8.98667	+	27.6581i	−0.536100	+	1.64994i	0.205161	+	0.978728i	$0.434228\pi$
$281$	−8.98667	+	27.6581i	−0.536100	+	1.64994i	−0.741261	+	0.671217i	$0.765772\pi$
$282$	−7.37447	+	5.35786i	−0.439143	+	0.319056i
$283$	17.5337	+	12.7390i	1.04227	+	0.757256i	0.970728	−	0.240182i	$-0.0772070\pi$
$283$	17.5337	+	12.7390i	1.04227	+	0.757256i	0.0715451	+	0.997437i	$0.477207\pi$
$284$	−0.165832	−	0.510378i	−0.00984031	−	0.0302854i
$285$	−1.19967			−0.0710623
$286$	14.4055	−	9.25445i	0.851815	−	0.547227i
$287$	0.164204			0.00969265
$288$	1.30033	+	4.00201i	0.0766227	+	0.235821i
$289$	−35.2217	−	25.5901i	−2.07186	−	1.50530i
$290$	−1.17623	+	0.854580i	−0.0690705	+	0.0501827i
$291$	1.02664	−	3.15968i	0.0601828	−	0.185224i
$292$	1.23765	−	3.80910i	0.0724281	−	0.222911i
$293$	6.80561	−	4.94456i	0.397588	−	0.288865i	−0.370970	−	0.928645i	$-0.620975\pi$
$293$	6.80561	−	4.94456i	0.397588	−	0.288865i	0.768558	+	0.639780i	$0.220975\pi$
$294$	5.76231	+	4.18657i	0.336065	+	0.244166i
$295$	−1.09395	−	3.36685i	−0.0636925	−	0.196025i
$296$	−25.8798			−1.50423
$297$	1.20381	−	3.09044i	0.0698524	−	0.179326i
$298$	−10.5172			−0.609245
$299$	10.0399	+	30.8997i	0.580623	+	1.78697i
$300$	0.647481	+	0.470423i	0.0373824	+	0.0271599i
$301$	4.18032	−	3.03718i	0.240950	−	0.175060i
$302$	2.33803	−	7.19572i	0.134539	−	0.414067i
$303$	−5.84715	+	17.9957i	−0.335910	+	1.03382i
$304$	−1.70702	+	1.24022i	−0.0979041	+	0.0711315i
$305$	8.79551	+	6.39031i	0.503630	+	0.365908i
$306$	−2.63343	−	8.10486i	−0.150543	−	0.463324i
$307$	23.7431			1.35509			0.677545	−	0.735481i	$-0.263044\pi$
$307$	23.7431			1.35509			0.677545	+	0.735481i	$0.263044\pi$
$308$	0.679268	−	1.74382i	0.0387049	−	0.0993635i
$309$	−18.0964			−1.02947
$310$	−2.59983	−	8.00147i	−0.147661	−	0.454453i
$311$	−18.6455	−	13.5467i	−1.05729	−	0.768164i	−0.0837029	−	0.996491i	$-0.526675\pi$
$311$	−18.6455	−	13.5467i	−1.05729	−	0.768164i	−0.973585	+	0.228326i	$0.926675\pi$
$312$	−11.6957	+	8.49741i	−0.662137	+	0.481071i
$313$	−5.36571	+	16.5140i	−0.303288	+	0.933424i	0.677023	+	0.735962i	$0.263270\pi$
$313$	−5.36571	+	16.5140i	−0.303288	+	0.933424i	−0.980311	+	0.197462i	$0.936730\pi$
$314$	3.84221	−	11.8251i	0.216829	−	0.667330i
$315$	0.570387	−	0.414410i	0.0321377	−	0.0233494i
$316$	1.47643	+	1.07269i	0.0830558	+	0.0603436i
$317$	−1.90075	−	5.84990i	−0.106757	−	0.328563i	0.883382	−	0.468654i	$-0.155261\pi$
$317$	−1.90075	−	5.84990i	−0.106757	−	0.328563i	−0.990139	+	0.140090i	$0.955261\pi$
$318$	7.47354			0.419095
$319$	−3.70402	+	2.37955i	−0.207385	+	0.133229i
$320$	8.12657			0.454289
$321$	−1.89101	−	5.81994i	−0.105546	−	0.324837i
$322$	−4.30645	−	3.12882i	−0.239989	−	0.174362i
$323$	−7.55140	+	5.48641i	−0.420171	+	0.305272i
$324$	−0.247316	+	0.761160i	−0.0137398	+	0.0422867i
$325$	−1.45650	+	4.48264i	−0.0807920	+	0.248652i
$326$	1.58838	−	1.15403i	0.0879722	−	0.0639156i
$327$	−7.30645	−	5.30845i	−0.404048	−	0.293558i
$328$	0.220747	+	0.679388i	0.0121887	+	0.0375129i
$329$	−5.86752			−0.323487
$330$	−2.81182	−	2.30000i	−0.154786	−	0.126611i
$331$	19.4191			1.06737			0.533685	−	0.845683i	$-0.320807\pi$
$331$	19.4191			1.06737			0.533685	+	0.845683i	$0.320807\pi$
$332$	0.521833	+	1.60604i	0.0286393	+	0.0881428i
$333$	−6.82618	−	4.95951i	−0.374072	−	0.271780i
$334$	−5.33837	+	3.87856i	−0.292103	+	0.212225i
$335$	−0.630505	+	1.94049i	−0.0344481	+	0.106021i
$336$	0.383189	−	1.17933i	0.0209047	−	0.0643379i
$337$	−25.6352	+	18.6250i	−1.39644	+	1.01457i	−0.401312	+	0.915941i	$0.631446\pi$
$337$	−25.6352	+	18.6250i	−1.39644	+	1.01457i	−0.995124	+	0.0986291i	$0.968554\pi$
$338$	−8.16593	−	5.93289i	−0.444168	−	0.322707i
$339$	1.21037	+	3.72514i	0.0657383	+	0.202322i
$340$	6.22699			0.337706
$341$	−6.47231	−	24.6400i	−0.350495	−	1.33433i
$342$	−1.31399			−0.0710524
$343$	2.94186	+	9.05412i	0.158846	+	0.488876i
$344$	18.1860	+	13.2129i	0.980524	+	0.712392i
$345$	5.57670	−	4.05171i	0.300239	−	0.218137i
$346$	1.41706	−	4.36127i	0.0761818	−	0.234463i
$347$	−8.63499	+	26.5758i	−0.463551	+	1.42666i	0.397246	+	0.917712i	$0.369966\pi$
$347$	−8.63499	+	26.5758i	−0.463551	+	1.42666i	−0.860796	+	0.508950i	$0.830034\pi$
$348$	0.859470	−	0.624442i	0.0460724	−	0.0334736i
$349$	0.552827	+	0.401652i	0.0295921	+	0.0214999i	0.602483	−	0.798132i	$-0.294178\pi$
$349$	0.552827	+	0.401652i	0.0295921	+	0.0214999i	−0.572891	+	0.819632i	$0.694178\pi$
$350$	−0.238630	−	0.734428i	−0.0127553	−	0.0392568i
$351$	−4.71333			−0.251579
$352$	13.9333	+	0.799077i	0.742649	+	0.0425909i
$353$	1.55900			0.0829769			0.0414885	−	0.999139i	$-0.486790\pi$
$353$	1.55900			0.0829769			0.0414885	+	0.999139i	$0.486790\pi$
$354$	−1.19820	−	3.68769i	−0.0636837	−	0.195998i
$355$	−0.542467	−	0.394126i	−0.0287912	−	0.0209180i
$356$	−2.16726	+	1.57461i	−0.114865	+	0.0834542i
$357$	1.69513	−	5.21707i	0.0897157	−	0.276117i
$358$	1.64211	−	5.05390i	0.0867884	−	0.267107i
$359$	−12.8151	+	9.31073i	−0.676356	+	0.491402i	−0.872147	−	0.489244i	$-0.837273\pi$
$359$	−12.8151	+	9.31073i	−0.676356	+	0.491402i	0.195791	+	0.980646i	$0.437273\pi$
$360$	2.48141	+	1.80285i	0.130782	+	0.0950184i
$361$	−5.42658	−	16.7013i	−0.285610	−	0.879016i
$362$	−25.2878			−1.32910
$363$	−8.10166	−	7.44064i	−0.425227	−	0.390532i
$364$	−2.65956			−0.139399
$365$	−1.54642	−	4.75940i	−0.0809435	−	0.249119i
$366$	9.63367	+	6.99927i	0.503560	+	0.365858i
$367$	−12.7308	+	9.24947i	−0.664542	+	0.482818i	−0.868194	−	0.496225i	$-0.834719\pi$
$367$	−12.7308	+	9.24947i	−0.664542	+	0.482818i	0.203652	+	0.979043i	$0.434719\pi$
$368$	3.74645	−	11.5304i	0.195297	−	0.601064i
$369$	−0.0719704	+	0.221502i	−0.00374663	+	0.0115309i
$370$	−7.47668	+	5.43212i	−0.388694	+	0.282403i
$371$	3.89193	+	2.82765i	0.202059	+	0.146804i
$372$	1.89970	+	5.84667i	0.0984948	+	0.303136i
$373$	−5.27703			−0.273234			−0.136617	−	0.990624i	$-0.543623\pi$
$373$	−5.27703			−0.273234			−0.136617	+	0.990624i	$0.543623\pi$
$374$	−28.2177	−	1.61829i	−1.45910	−	0.0836797i
$375$	1.00000			0.0516398
$376$	−7.88796	−	24.2767i	−0.406791	−	1.25197i
$377$	5.06161	+	3.67748i	0.260686	+	0.189400i
$378$	0.624741	−	0.453901i	0.0321332	−	0.0233462i
$379$	10.3549	−	31.8692i	0.531897	−	1.63701i	−0.218363	−	0.975868i	$-0.570072\pi$
$379$	10.3549	−	31.8692i	0.531897	−	1.63701i	0.750260	−	0.661143i	$-0.229928\pi$
$380$	0.296697	−	0.913140i	0.0152202	−	0.0468431i
$381$	−8.79201	+	6.38777i	−0.450428	+	0.327255i
$382$	−5.51667	−	4.00810i	−0.282257	−	0.205072i
$383$	−6.25212	−	19.2420i	−0.319468	−	0.983222i	−0.973876	−	0.227080i	$-0.927082\pi$
$383$	−6.25212	−	19.2420i	−0.319468	−	0.983222i	0.654408	−	0.756142i	$-0.272918\pi$
$384$	0.485063			0.0247532
$385$	−0.594071	−	2.26162i	−0.0302767	−	0.115263i
$386$	20.9057			1.06407
$387$	2.26476	+	6.97021i	0.115124	+	0.354316i
$388$	2.15112	+	1.56288i	0.109206	+	0.0793430i
$389$	22.3069	−	16.2069i	1.13101	−	0.821724i	0.145165	−	0.989408i	$-0.453629\pi$
$389$	22.3069	−	16.2069i	1.13101	−	0.821724i	0.985841	+	0.167684i	$0.0536288\pi$
$390$	−1.59529	+	4.90981i	−0.0807809	+	0.248618i
$391$	16.5733	−	51.0075i	0.838150	−	2.57956i
$392$	−16.1364	+	11.7238i	−0.815011	+	0.592140i
$393$	9.47308	+	6.88260i	0.477854	+	0.347181i
$394$	2.30175	+	7.08406i	0.115960	+	0.356890i
$395$	2.28027			0.114733
$396$	2.05460	+	1.68061i	0.103247	+	0.0844539i
$397$	11.7601			0.590222			0.295111	−	0.955463i	$-0.404643\pi$
$397$	11.7601			0.590222			0.295111	+	0.955463i	$0.404643\pi$
$398$	7.20835	+	22.1850i	0.361322	+	1.11204i
$399$	−0.684276	−	0.497155i	−0.0342566	−	0.0248889i
$400$	1.42291	−	1.03380i	0.0711453	−	0.0516901i
$401$	−2.38687	+	7.34602i	−0.119194	+	0.366843i	−0.992799	−	0.119794i	$-0.961777\pi$
$401$	−2.38687	+	7.34602i	−0.119194	+	0.366843i	0.873604	+	0.486637i	$0.161777\pi$
$402$	−0.690588	+	2.12541i	−0.0344434	+	0.106006i
$403$	−29.2899	+	21.2804i	−1.45903	+	1.06005i
$404$	−12.2515	−	8.90124i	−0.609535	−	0.442853i
$405$	0.309017	+	0.951057i	0.0153552	+	0.0472584i
$406$	−1.02505			−0.0508725
$407$	−23.5445	+	15.1256i	−1.16706	+	0.749748i
$408$	23.8643			1.18146
$409$	5.17322	+	15.9215i	0.255799	+	0.787269i	0.993671	+	0.112328i	$0.0358307\pi$
$409$	5.17322	+	15.9215i	0.255799	+	0.787269i	−0.737872	+	0.674941i	$0.764169\pi$
$410$	0.206376	+	0.149941i	0.0101922	+	0.00740507i
$411$	−16.5284	+	12.0086i	−0.815285	+	0.592339i
$412$	4.47553	−	13.7743i	0.220493	−	0.678609i
$413$	0.771279	−	2.37375i	0.0379521	−	0.116805i
$414$	6.10813	−	4.43781i	0.300198	−	0.218107i
$415$	1.70702	+	1.24022i	0.0837941	+	0.0608800i
$416$	−6.12889	−	18.8628i	−0.300493	−	0.924824i
$417$	−8.17100			−0.400136
$418$	−1.58180	+	4.06081i	−0.0773684	+	0.198621i
$419$	−38.0968			−1.86115			−0.930576	−	0.366100i	$-0.880693\pi$
$419$	−38.0968			−1.86115			−0.930576	+	0.366100i	$0.880693\pi$
$420$	0.174367	+	0.536646i	0.00850823	+	0.0261856i
$421$	18.3350	+	13.3212i	0.893594	+	0.649234i	0.936813	−	0.349831i	$-0.113761\pi$
$421$	18.3350	+	13.3212i	0.893594	+	0.649234i	−0.0432184	+	0.999066i	$0.513761\pi$
$422$	7.87818	−	5.72383i	0.383504	−	0.278632i
$423$	2.57173	−	7.91496i	0.125042	−	0.384839i
$424$	−6.46722	+	19.9041i	−0.314076	+	0.966627i
$425$	6.29457	−	4.57327i	0.305331	−	0.221836i
$426$	−0.594161	−	0.431683i	−0.0287872	−	0.0209151i
$427$	2.36863	+	7.28990i	0.114626	+	0.352783i
$428$	4.89758			0.236734
$429$	−5.67397	+	14.5663i	−0.273942	+	0.703266i
$430$	8.02732			0.387112
$431$	−10.4994	−	32.3137i	−0.505736	−	1.55650i	−0.799529	−	0.600627i	$-0.794918\pi$
$431$	−10.4994	−	32.3137i	−0.505736	−	1.55650i	0.293793	−	0.955869i	$-0.405082\pi$
$432$	1.42291	+	1.03380i	0.0684596	+	0.0497388i
$433$	29.6709	−	21.5572i	1.42589	−	1.03597i	0.435131	−	0.900367i	$-0.356702\pi$
$433$	29.6709	−	21.5572i	1.42589	−	1.03597i	0.990763	−	0.135605i	$-0.0432978\pi$
$434$	1.83298	−	5.64133i	0.0879858	−	0.270793i
$435$	0.410191	−	1.26244i	0.0196671	−	0.0605292i
$436$	5.84758	−	4.24852i	0.280048	−	0.203467i
$437$	−6.69019	−	4.86071i	−0.320035	−	0.232519i
$438$	−1.69379	−	5.21295i	−0.0809324	−	0.249084i
$439$	1.05012			0.0501193			0.0250596	−	0.999686i	$-0.492022\pi$
$439$	1.05012			0.0501193			0.0250596	+	0.999686i	$0.492022\pi$
$440$	8.55874	−	5.49835i	0.408022	−	0.262123i
$441$	−6.50292			−0.309663
$442$	12.4122	+	38.2008i	0.590388	+	1.81703i
$443$	24.6917	+	17.9396i	1.17314	+	0.852334i	0.991381	−	0.131009i	$-0.0418218\pi$
$443$	24.6917	+	17.9396i	1.17314	+	0.852334i	0.181756	+	0.983344i	$0.441822\pi$
$444$	5.46321	−	3.96925i	0.259272	−	0.188372i
$445$	−1.03435	+	3.18340i	−0.0490328	+	0.150908i
$446$	1.83353	−	5.64302i	0.0868201	−	0.267205i
$447$	7.76832	−	5.64402i	0.367429	−	0.266953i
$448$	4.63529	+	3.36773i	0.218997	+	0.159111i
$449$	−11.3006	−	34.7796i	−0.533308	−	1.64135i	−0.747277	−	0.664513i	$-0.768639\pi$
$449$	−11.3006	−	34.7796i	−0.533308	−	1.64135i	0.213969	−	0.976840i	$-0.431361\pi$
$450$	1.09529			0.0516327
$451$	0.597901	+	0.489068i	0.0281540	+	0.0230293i
$452$	−3.13477			−0.147447
$453$	2.13462	+	6.56967i	0.100293	+	0.308670i
$454$	7.47738	+	5.43263i	0.350931	+	0.254966i
$455$	−2.68842	+	1.95325i	−0.126035	+	0.0915699i
$456$	1.13706	−	3.49951i	0.0532478	−	0.163880i
$457$	−0.736724	+	2.26740i	−0.0344625	+	0.106065i	−0.966808	−	0.255504i	$-0.917759\pi$
$457$	−0.736724	+	2.26740i	−0.0344625	+	0.106065i	0.932346	+	0.361568i	$0.117759\pi$
$458$	9.92913	−	7.21393i	0.463958	−	0.337085i
$459$	6.29457	+	4.57327i	0.293805	+	0.213462i
$460$	1.70479	+	5.24681i	0.0794864	+	0.244634i
$461$	28.5962			1.33186			0.665929	−	0.746015i	$-0.268035\pi$
$461$	28.5962			1.33186			0.665929	+	0.746015i	$0.268035\pi$
$462$	−0.650683	−	2.47714i	−0.0302725	−	0.115247i
$463$	−30.5806			−1.42120			−0.710600	−	0.703596i	$-0.751577\pi$
$463$	−30.5806			−1.42120			−0.710600	+	0.703596i	$0.751577\pi$
$464$	−0.721447	−	2.22038i	−0.0334923	−	0.103079i
$465$	6.21427	+	4.51493i	0.288180	+	0.209375i
$466$	−5.17470	+	3.75964i	−0.239713	+	0.174162i
$467$	−1.15640	+	3.55903i	−0.0535118	+	0.164692i	−0.974241	−	0.225510i	$-0.927595\pi$
$467$	−1.15640	+	3.55903i	−0.0535118	+	0.164692i	0.920729	+	0.390203i	$0.127595\pi$
$468$	1.16568	−	3.58760i	0.0538836	−	0.165837i
$469$	−1.16379	+	0.845545i	−0.0537389	+	0.0390436i
$470$	−7.37447	−	5.35786i	−0.340159	−	0.247140i
$471$	3.50793	+	10.7963i	0.161637	+	0.497467i
$472$	10.8582			0.499788
$473$	24.2674	+	1.39174i	1.11582	+	0.0639920i
$474$	2.49757			0.114717
$475$	−0.370718	−	1.14095i	−0.0170097	−	0.0523505i
$476$	3.55179	+	2.58053i	0.162796	+	0.118278i
$477$	−5.52018	+	4.01064i	−0.252752	+	0.183635i
$478$	−5.59351	+	17.2151i	−0.255841	+	0.787398i
$479$	−0.292006	+	0.898702i	−0.0133421	+	0.0410627i	−0.957506	−	0.288414i	$-0.906872\pi$
$479$	−0.292006	+	0.898702i	−0.0133421	+	0.0410627i	0.944164	+	0.329476i	$0.106872\pi$
$480$	−3.40431	+	2.47338i	−0.155385	+	0.112894i
$481$	32.1740	+	23.3758i	1.46701	+	1.06584i
$482$	−1.11416	−	3.42902i	−0.0507484	−	0.156188i
$483$	4.85995			0.221135
$484$	7.66719	−	4.32647i	0.348508	−	0.196658i
$485$	3.32228			0.150857
$486$	0.338464	+	1.04169i	0.0153531	+	0.0472519i
$487$	10.8306	+	7.86887i	0.490780	+	0.356573i	0.805484	−	0.592617i	$-0.201905\pi$
$487$	10.8306	+	7.86887i	0.490780	+	0.356573i	−0.314704	+	0.949190i	$0.601905\pi$
$488$	−26.9775	+	19.6003i	−1.22121	+	0.887263i
$489$	−0.553922	+	1.70480i	−0.0250492	+	0.0770935i
$490$	−2.20101	+	6.77401i	−0.0994314	+	0.306018i
$491$	2.25625	−	1.63926i	0.101823	−	0.0739787i	−0.535709	−	0.844403i	$-0.679955\pi$
$491$	2.25625	−	1.63926i	0.101823	−	0.0739787i	0.637532	+	0.770424i	$0.279955\pi$
$492$	−0.150799	−	0.109562i	−0.00679855	−	0.00493944i
$493$	−3.19149	−	9.82241i	−0.143738	−	0.442379i
$494$	6.19327			0.278648
$495$	3.31118	+	0.189896i	0.148827	+	0.00853521i
$496$	13.5099			0.606611
$497$	−0.146087	−	0.449608i	−0.00655288	−	0.0201677i
$498$	1.86968	+	1.35840i	0.0837825	+	0.0608716i
$499$	−14.3835	+	10.4503i	−0.643896	+	0.467818i	−0.861187	−	0.508289i	$-0.830278\pi$
$499$	−14.3835	+	10.4503i	−0.643896	+	0.467818i	0.217290	+	0.976107i	$0.430278\pi$
$500$	−0.247316	+	0.761160i	−0.0110603	+	0.0340401i
$501$	1.86167	−	5.72964i	0.0831733	−	0.255981i
$502$	6.55664	−	4.76368i	0.292637	−	0.212613i
$503$	−20.8596	−	15.1554i	−0.930081	−	0.675744i	0.0159313	−	0.999873i	$-0.494929\pi$
$503$	−20.8596	−	15.1554i	−0.930081	−	0.675744i	−0.946013	+	0.324129i	$0.894929\pi$
$504$	0.668243	+	2.05664i	0.0297659	+	0.0916100i
$505$	−18.9218			−0.842008
$506$	−6.36175	−	24.2191i	−0.282814	−	1.07667i
$507$	9.21546			0.409273
$508$	−2.68771	−	8.27192i	−0.119248	−	0.367007i
$509$	22.8386	+	16.5932i	1.01231	+	0.735483i	0.964691	−	0.263383i	$-0.0848383\pi$
$509$	22.8386	+	16.5932i	1.01231	+	0.735483i	0.0476138	+	0.998866i	$0.484838\pi$
$510$	6.89440	−	5.00908i	0.305289	−	0.221806i
$511$	1.09029	−	3.35556i	0.0482314	−	0.148441i
$512$	−5.62107	+	17.2999i	−0.248419	+	0.764554i
$513$	0.970553	−	0.705148i	0.0428509	−	0.0311330i
$514$	16.5695	+	12.0385i	0.730850	+	0.530993i
$515$	−5.59209	−	17.2107i	−0.246417	−	0.758394i
$516$	−5.86556			−0.258217
$517$	−21.3648	−	17.4759i	−0.939625	−	0.768590i
$518$	−6.51573			−0.286285
$519$	1.29377	+	3.98183i	0.0567904	+	0.174783i
$520$	−11.6957	−	8.49741i	−0.512889	−	0.372636i
$521$	−9.46183	+	6.87442i	−0.414530	+	0.301174i	−0.775433	−	0.631429i	$-0.782469\pi$
$521$	−9.46183	+	6.87442i	−0.414530	+	0.301174i	0.360903	+	0.932603i	$0.382469\pi$
$522$	0.449279	−	1.38274i	0.0196644	−	0.0605209i
$523$	−6.08365	+	18.7236i	−0.266019	+	0.818724i	0.725437	+	0.688288i	$0.241638\pi$
$523$	−6.08365	+	18.7236i	−0.266019	+	0.818724i	−0.991457	+	0.130436i	$0.958362\pi$
$524$	−7.58160	+	5.50836i	−0.331204	+	0.240634i
$525$	0.570387	+	0.414410i	0.0248937	+	0.0180864i
$526$	1.35054	+	4.15654i	0.0588863	+	0.181234i
$527$	59.7642			2.60337
$528$	4.90782	−	3.15290i	0.213585	−	0.137212i
$529$	24.5159			1.06591
$530$	2.30945	+	7.10776i	0.100316	+	0.308741i
$531$	2.86401	+	2.08083i	0.124287	+	0.0903001i
$532$	0.547647	−	0.397889i	0.0237435	−	0.0172507i
$533$	0.339220	−	1.04401i	0.0146933	−	0.0452212i
$534$	−1.13292	+	3.48676i	−0.0490261	+	0.150887i
$535$	4.95074	−	3.59692i	0.214039	−	0.155508i
$536$	−5.06295	−	3.67845i	−0.218686	−	0.158885i
$537$	1.49924	+	4.61420i	0.0646972	+	0.199117i
$538$	−13.9266			−0.600420
$539$	−7.82831	+	20.0969i	−0.337189	+	0.865635i
$540$	−0.800331			−0.0344408
$541$	−1.68443	−	5.18413i	−0.0724191	−	0.222883i	0.908295	−	0.418330i	$-0.137384\pi$
$541$	−1.68443	−	5.18413i	−0.0724191	−	0.222883i	−0.980714	+	0.195447i	$0.937384\pi$
$542$	−21.1143	−	15.3404i	−0.906935	−	0.658927i
$543$	18.6784	−	13.5706i	0.801565	−	0.582371i
$544$	−10.1172	+	31.1377i	−0.433773	+	1.33502i
$545$	2.79082	−	8.58925i	0.119545	−	0.367923i
$546$	−2.94461	+	2.13939i	−0.126018	+	0.0915572i
$547$	−10.3467	−	7.51731i	−0.442393	−	0.321417i	0.344192	−	0.938899i	$-0.388153\pi$
$547$	−10.3467	−	7.51731i	−0.442393	−	0.321417i	−0.786585	+	0.617482i	$0.788153\pi$
$548$	−5.05271	−	15.5507i	−0.215841	−	0.664291i
$549$	−10.8719			−0.463999
$550$	1.31853	−	3.38494i	0.0562223	−	0.144334i
$551$	−1.59245			−0.0678405
$552$	6.53344	+	20.1079i	0.278082	+	0.855848i
$553$	1.30064	+	0.944967i	0.0553087	+	0.0401841i
$554$	−6.56832	+	4.77216i	−0.279061	+	0.202750i
$555$	2.60737	−	8.02466i	0.110677	−	0.340628i
$556$	2.02082	−	6.21944i	0.0857018	−	0.263763i
$557$	0.286771	−	0.208351i	0.0121509	−	0.00882812i	−0.581693	−	0.813408i	$-0.697610\pi$
$557$	0.286771	−	0.208351i	0.0121509	−	0.00882812i	0.593844	+	0.804580i	$0.297610\pi$
$558$	6.80645	+	4.94518i	0.288140	+	0.209346i
$559$	−10.6746	−	32.8529i	−0.451486	−	1.38953i
$560$	1.24002			0.0524006
$561$	21.7109	−	13.9476i	0.916636	−	0.588869i
$562$	−31.8528			−1.34363
$563$	10.8409	+	33.3648i	0.456888	+	1.40616i	0.868904	+	0.494981i	$0.164825\pi$
$563$	10.8409	+	33.3648i	0.456888	+	1.40616i	−0.412015	+	0.911177i	$0.635175\pi$
$564$	5.38852	+	3.91499i	0.226898	+	0.164851i
$565$	−3.16879	+	2.30226i	−0.133312	+	0.0968569i
$566$	−7.33551	+	22.5764i	−0.308334	+	0.948956i
$567$	−0.217868	+	0.670530i	−0.00914961	+	0.0281596i
$568$	1.66385	−	1.20886i	0.0698135	−	0.0507225i
$569$	13.2015	+	9.59145i	0.553436	+	0.402094i	0.829051	−	0.559174i	$-0.188881\pi$
$569$	13.2015	+	9.59145i	0.553436	+	0.402094i	−0.275615	+	0.961268i	$0.588881\pi$
$570$	−0.406045	−	1.24968i	−0.0170074	−	0.0523433i
$571$	−14.4160			−0.603291			−0.301645	−	0.953420i	$-0.597536\pi$
$571$	−14.4160			−0.603291			−0.301645	+	0.953420i	$0.597536\pi$
$572$	−9.68400	−	7.92127i	−0.404908	−	0.331205i
$573$	6.22571			0.260083
$574$	0.0555772	+	0.171049i	0.00231975	+	0.00713945i
$575$	5.57670	+	4.05171i	0.232564	+	0.168968i
$576$	−6.57453	+	4.77668i	−0.273939	+	0.199028i
$577$	2.75292	−	8.47261i	0.114605	−	0.352719i	−0.877259	−	0.480017i	$-0.840630\pi$
$577$	2.75292	−	8.47261i	0.114605	−	0.352719i	0.991865	+	0.127298i	$0.0406304\pi$
$578$	14.7355	−	45.3513i	0.612917	−	1.88636i
$579$	−15.4416	+	11.2190i	−0.641730	+	0.466244i
$580$	0.859470	+	0.624442i	0.0356876	+	0.0259285i
$581$	0.459700	+	1.41481i	0.0190716	+	0.0586962i
$582$	3.63887			0.150836
$583$	5.74939	+	21.8879i	0.238116	+	0.906503i
$584$	15.3492			0.635155
$585$	−1.45650	−	4.48264i	−0.0602188	−	0.185334i
$586$	7.45414	+	5.41575i	0.307928	+	0.223723i
$587$	11.1655	−	8.11225i	0.460851	−	0.334828i	−0.333014	−	0.942922i	$-0.608066\pi$
$587$	11.1655	−	8.11225i	0.460851	−	0.334828i	0.793865	+	0.608094i	$0.208066\pi$
$588$	1.60828	−	4.94977i	0.0663242	−	0.204125i
$589$	2.84758	−	8.76396i	0.117333	−	0.361113i
$590$	3.13693	−	2.27912i	0.129146	−	0.0938297i
$591$	−5.50177	−	3.99727i	−0.226313	−	0.164426i
$592$	−4.58586	−	14.1138i	−0.188478	−	0.580075i
$593$	−16.4676			−0.676242			−0.338121	−	0.941103i	$-0.609791\pi$
$593$	−16.4676			−0.676242			−0.338121	+	0.941103i	$0.609791\pi$
$594$	3.62672	+	0.207992i	0.148806	+	0.00853403i
$595$	5.48555			0.224886
$596$	2.37477	+	7.30879i	0.0972744	+	0.299380i
$597$	−17.2298	−	12.5182i	−0.705170	−	0.512336i
$598$	−28.7896	+	20.9169i	−1.17729	+	0.855354i
$599$	11.6994	−	36.0069i	0.478023	−	1.47120i	−0.363814	−	0.931472i	$-0.618525\pi$
$599$	11.6994	−	36.0069i	0.478023	−	1.47120i	0.841837	−	0.539732i	$-0.181475\pi$
$600$	−0.947813	+	2.91707i	−0.0386943	+	0.119089i
$601$	−1.26563	+	0.919535i	−0.0516262	+	0.0375086i	−0.613299	−	0.789851i	$-0.710158\pi$
$601$	−1.26563	+	0.919535i	−0.0516262	+	0.0375086i	0.561673	+	0.827359i	$0.310158\pi$
$602$	4.57868	+	3.32660i	0.186613	+	0.135582i
$603$	−0.630505	−	1.94049i	−0.0256761	−	0.0790230i
$604$	−5.52850			−0.224951
$605$	4.57291	−	10.0044i	0.185915	−	0.406738i
$606$	−20.7249			−0.841892
$607$	5.82568	+	17.9296i	0.236457	+	0.727740i	0.996925	+	0.0783641i	$0.0249697\pi$
$607$	5.82568	+	17.9296i	0.236457	+	0.727740i	−0.760468	+	0.649376i	$0.775030\pi$
$608$	4.08405	+	2.96723i	0.165630	+	0.120337i
$609$	0.757135	−	0.550090i	0.0306806	−	0.0222908i
$610$	−3.67974	+	11.3251i	−0.148988	+	0.458538i
$611$	−12.1214	+	37.3058i	−0.490379	+	1.50923i
$612$	−5.03774	+	3.66013i	−0.203639	+	0.147952i
$613$	−26.4306	−	19.2030i	−1.06752	−	0.775601i	−0.0920574	−	0.995754i	$-0.529344\pi$
$613$	−26.4306	−	19.2030i	−1.06752	−	0.775601i	−0.975465	+	0.220153i	$0.929344\pi$
$614$	8.03619	+	24.7329i	0.324314	+	0.998137i
$615$	−0.232901			−0.00939148
$616$	7.16037	+	0.410647i	0.288499	+	0.0165454i
$617$	−33.6559			−1.35493			−0.677467	−	0.735553i	$-0.736922\pi$
$617$	−33.6559			−1.35493			−0.677467	+	0.735553i	$0.736922\pi$
$618$	−6.12499	−	18.8508i	−0.246383	−	0.758289i
$619$	7.23262	+	5.25480i	0.290703	+	0.211208i	0.723572	−	0.690248i	$-0.242499\pi$
$619$	7.23262	+	5.25480i	0.290703	+	0.211208i	−0.432869	+	0.901457i	$0.642499\pi$
$620$	−4.97348	+	3.61344i	−0.199740	+	0.145119i
$621$	−2.13011	+	6.55580i	−0.0854784	+	0.263075i
$622$	7.80061	−	24.0078i	0.312776	−	0.962626i
$623$	−1.90921	+	1.38712i	−0.0764910	+	0.0555739i
$624$	−6.70662	−	4.87265i	−0.268480	−	0.195062i
$625$	0.309017	+	0.951057i	0.0123607	+	0.0380423i
$626$	−19.0185			−0.760131
$627$	−1.01085	−	3.84830i	−0.0403696	−	0.153686i
$628$	−9.08528			−0.362542
$629$	−20.2867	−	62.4360i	−0.808883	−	2.48949i
$630$	0.624741	+	0.453901i	0.0248903	+	0.0180839i
$631$	15.5798	−	11.3194i	0.620224	−	0.450619i	−0.232776	−	0.972530i	$-0.574781\pi$
$631$	15.5798	−	11.3194i	0.620224	−	0.450619i	0.853000	+	0.521912i	$0.174781\pi$
$632$	−2.16127	+	6.65170i	−0.0859706	+	0.264590i
$633$	−2.74739	+	8.45559i	−0.109199	+	0.336080i
$634$	5.45043	−	3.95997i	0.216464	−	0.157270i
$635$	−8.79201	−	6.38777i	−0.348900	−	0.253491i
$636$	−1.68751	−	5.19364i	−0.0669143	−	0.205941i
$637$	30.6504			1.21441
$638$	−3.73243	−	3.05303i	−0.147768	−	0.120871i
$639$	0.670527			0.0265256
$640$	0.149893	+	0.461322i	0.00592502	+	0.0182354i
$641$	12.0485	+	8.75375i	0.475887	+	0.345752i	0.799731	−	0.600358i	$-0.204975\pi$
$641$	12.0485	+	8.75375i	0.475887	+	0.345752i	−0.323844	+	0.946110i	$0.604975\pi$
$642$	5.42251	−	3.93968i	0.214009	−	0.155487i
$643$	10.9143	−	33.5907i	0.430417	−	1.32469i	−0.467295	−	0.884102i	$-0.654771\pi$
$643$	10.9143	−	33.5907i	0.430417	−	1.32469i	0.897711	−	0.440584i	$-0.145229\pi$
$644$	−1.20194	+	3.69920i	−0.0473632	+	0.145769i
$645$	−5.92922	+	4.30783i	−0.233463	+	0.169621i
$646$	−8.27100	−	6.00923i	−0.325418	−	0.236430i
$647$	9.62366	+	29.6186i	0.378345	+	1.16443i	0.941194	+	0.337867i	$0.109705\pi$
$647$	9.62366	+	29.6186i	0.378345	+	1.16443i	−0.562849	+	0.826560i	$0.690295\pi$
$648$	−3.06719			−0.120490
$649$	9.87841	−	6.34613i	0.387761	−	0.249107i
$650$	−5.16248			−0.202489
$651$	1.67350	+	5.15052i	0.0655898	+	0.201865i
$652$	−1.16063	−	0.843246i	−0.0454537	−	0.0330241i
$653$	−4.08953	+	2.97122i	−0.160036	+	0.116273i	−0.664921	−	0.746914i	$-0.731535\pi$
$653$	−4.08953	+	2.97122i	−0.160036	+	0.116273i	0.504885	+	0.863186i	$0.331535\pi$
$654$	3.05677	−	9.40776i	0.119529	−	0.367872i
$655$	−3.61839	+	11.1363i	−0.141382	+	0.435130i
$656$	−0.331396	+	0.240774i	−0.0129389	+	0.00940063i
$657$	4.04859	+	2.94147i	0.157951	+	0.114758i
$658$	−1.98595	−	6.11211i	−0.0774202	−	0.238275i
$659$	−14.4486			−0.562837			−0.281419	−	0.959585i	$-0.590805\pi$
$659$	−14.4486			−0.562837			−0.281419	+	0.959585i	$0.590805\pi$
$660$	−0.963450	+	2.47338i	−0.0375022	+	0.0962761i
$661$	14.8696			0.578361			0.289181	−	0.957275i	$-0.406617\pi$
$661$	14.8696			0.578361			0.289181	+	0.957275i	$0.406617\pi$
$662$	6.57267	+	20.2286i	0.255454	+	0.786207i
$663$	−29.6684	−	21.5553i	−1.15222	−	0.837140i
$664$	−5.23573	+	3.80398i	−0.203186	+	0.147623i
$665$	0.261370	−	0.804414i	0.0101355	−	0.0311938i
$666$	2.85584	−	8.78936i	0.110661	−	0.340581i
$667$	7.40254	−	5.37826i	0.286627	−	0.208247i
$668$	3.90075	+	2.83406i	0.150925	+	0.109653i
$669$	1.67401	+	5.15206i	0.0647208	+	0.199190i
$670$	−2.23479			−0.0863375
$671$	−13.0877	+	33.5988i	−0.505245	+	1.29707i
$672$	−2.96677			−0.114446
$673$	−12.8598	−	39.5785i	−0.495710	−	1.52564i	−0.815848	−	0.578267i	$-0.803729\pi$
$673$	−12.8598	−	39.5785i	−0.495710	−	1.52564i	0.320138	−	0.947371i	$-0.396271\pi$
$674$	−28.0780	−	20.3999i	−1.08153	−	0.785774i
$675$	−0.809017	+	0.587785i	−0.0311391	+	0.0226239i
$676$	−2.27913	+	7.01444i	−0.0876588	+	0.269786i
$677$	13.6699	−	42.0715i	0.525376	−	1.61694i	−0.238195	−	0.971217i	$-0.576556\pi$
$677$	13.6699	−	42.0715i	0.525376	−	1.61694i	0.763571	−	0.645724i	$-0.223444\pi$
$678$	−3.47076	+	2.52165i	−0.133294	+	0.0968435i
$679$	1.89499	+	1.37679i	0.0727229	+	0.0528363i
$680$	7.37447	+	22.6963i	0.282798	+	0.870363i
$681$	−8.43842			−0.323361
$682$	23.4765	−	15.0819i	0.898962	−	0.577515i
$683$	24.5318			0.938683			0.469342	−	0.883017i	$-0.344491\pi$
$683$	24.5318			0.938683			0.469342	+	0.883017i	$0.344491\pi$
$684$	0.296697	+	0.913140i	0.0113445	+	0.0349148i
$685$	−16.5284	−	12.0086i	−0.631517	−	0.458824i
$686$	−8.43584	+	6.12899i	−0.322082	+	0.234006i
$687$	−3.46262	+	10.6569i	−0.132107	+	0.406584i
$688$	−3.98328	+	12.2593i	−0.151861	+	0.467380i
$689$	26.0184	−	18.9035i	0.991222	−	0.720165i
$690$	6.10813	+	4.43781i	0.232532	+	0.168945i
$691$	7.34440	+	22.6037i	0.279394	+	0.859887i	0.988023	+	0.154306i	$0.0493141\pi$
$691$	7.34440	+	22.6037i	0.279394	+	0.859887i	−0.708629	+	0.705581i	$0.750686\pi$
$692$	−3.35078			−0.127378
$693$	1.80996	+	1.48050i	0.0687547	+	0.0562397i
$694$	−30.6063			−1.16180
$695$	−2.52498	−	7.77109i	−0.0957779	−	0.294774i
$696$	3.29383	+	2.39311i	0.124852	+	0.0907105i
$697$	−1.46601	+	1.06512i	−0.0555292	+	0.0403443i
$698$	−0.231283	+	0.711817i	−0.00875420	+	0.0269427i
$699$	1.80459	−	5.55397i	0.0682560	−	0.210070i
$700$	−0.456498	+	0.331666i	−0.0172540	+	0.0125358i
$701$	26.4499	+	19.2170i	0.998999	+	0.725816i	0.961873	−	0.273495i	$-0.0881797\pi$
$701$	26.4499	+	19.2170i	0.998999	+	0.725816i	0.0371259	+	0.999311i	$0.488180\pi$
$702$	−1.59529	−	4.90981i	−0.0602105	−	0.185309i
$703$	−10.1224			−0.381772
$704$	6.84753	+	26.0684i	0.258076	+	0.982491i
$705$	8.32228			0.313435
$706$	0.527664	+	1.62398i	0.0198589	+	0.0611194i
$707$	−10.7927	−	7.84138i	−0.405903	−	0.294905i
$708$	−2.29216	+	1.66535i	−0.0861445	+	0.0625877i
$709$	7.36278	−	22.6603i	0.276515	−	0.851025i	−0.712300	−	0.701875i	$-0.752346\pi$
$709$	7.36278	−	22.6603i	0.276515	−	0.851025i	0.988815	−	0.149150i	$-0.0476537\pi$
$710$	0.226949	−	0.698478i	0.00851726	−	0.0262134i
$711$	−1.84478	+	1.34031i	−0.0691845	+	0.0502655i
$712$	−8.30582	−	6.03453i	−0.311274	−	0.226154i
$713$	16.3619	+	50.3568i	0.612759	+	1.88588i
$714$	6.00829			0.224855
$715$	−15.6067	−	0.895044i	−0.583657	−	0.0334728i
$716$	−3.88293			−0.145112
$717$	−5.10686	−	15.7173i	−0.190719	−	0.586973i
$718$	−14.0363	−	10.1980i	−0.523831	−	0.380586i
$719$	2.30311	−	1.67331i	0.0858914	−	0.0624038i	−0.544011	−	0.839078i	$-0.683095\pi$
$719$	2.30311	−	1.67331i	0.0858914	−	0.0624038i	0.629902	+	0.776674i	$0.283095\pi$
$720$	−0.543502	+	1.67273i	−0.0202551	+	0.0623388i
$721$	3.94263	−	12.1342i	0.146831	−	0.451900i
$722$	15.5608	−	11.3056i	0.579114	−	0.420751i
$723$	2.66312	+	1.93487i	0.0990425	+	0.0719586i
$724$	5.70996	+	17.5735i	0.212209	+	0.653112i
$725$	1.32741			0.0492986
$726$	5.00869	−	10.9578i	0.185890	−	0.406681i
$727$	−13.5192			−0.501399			−0.250700	−	0.968065i	$-0.580661\pi$
$727$	−13.5192			−0.501399			−0.250700	+	0.968065i	$0.580661\pi$
$728$	−3.14965	−	9.69362i	−0.116734	−	0.359270i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	4.43440	−	3.22178i	0.164124	−	0.119243i
$731$	−17.6210	+	54.2318i	−0.651736	+	2.00584i
$732$	2.68878	−	8.27522i	0.0993802	−	0.305861i
$733$	−26.5643	+	19.3001i	−0.981174	+	0.712864i	−0.957971	−	0.286866i	$-0.907386\pi$
$733$	−26.5643	+	19.3001i	−0.981174	+	0.712864i	−0.0232030	+	0.999731i	$0.507386\pi$
$734$	−13.9440	−	10.1309i	−0.514681	−	0.373938i
$735$	−2.00951	−	6.18465i	−0.0741220	−	0.228124i
$736$	−29.0062			−1.06918
$737$	−6.75599	−	0.387456i	−0.248860	−	0.0142721i
$738$	−0.255095			−0.00939018
$739$	15.7267	+	48.4018i	0.578516	+	1.78049i	0.623882	+	0.781519i	$0.285555\pi$
$739$	15.7267	+	48.4018i	0.578516	+	1.78049i	−0.0453660	+	0.998970i	$0.514445\pi$
$740$	5.46321	+	3.96925i	0.200831	+	0.145913i
$741$	−4.57453	+	3.32359i	−0.168050	+	0.122095i
$742$	−1.62825	+	5.01123i	−0.0597749	+	0.183968i
$743$	−4.78528	+	14.7276i	−0.175555	+	0.540302i	−0.999658	−	0.0261370i	$-0.991679\pi$
$743$	−4.78528	+	14.7276i	−0.175555	+	0.540302i	0.824104	+	0.566439i	$0.191679\pi$
$744$	−19.0603	+	13.8481i	−0.698786	+	0.507697i
$745$	7.76832	+	5.64402i	0.284609	+	0.206781i
$746$	−1.78609	−	5.49702i	−0.0653933	−	0.201260i
$747$	−2.10999			−0.0772004
$748$	5.24692	+	19.9750i	0.191846	+	0.730357i
$749$	4.31444			0.157646
$750$	0.338464	+	1.04169i	0.0123590	+	0.0380370i
$751$	−8.94571	−	6.49944i	−0.326434	−	0.237168i	0.412482	−	0.910966i	$-0.364662\pi$
$751$	−8.94571	−	6.49944i	−0.326434	−	0.237168i	−0.738916	+	0.673798i	$0.764662\pi$
$752$	11.8418	−	8.60359i	0.431827	−	0.313740i
$753$	−2.28652	+	7.03719i	−0.0833255	+	0.256449i
$754$	−2.11760	+	6.51731i	−0.0771185	+	0.237346i
$755$	−5.58850	+	4.06028i	−0.203386	+	0.147769i
$756$	−0.456498	−	0.331666i	−0.0166027	−	0.0120626i
$757$	2.78203	+	8.56219i	0.101114	+	0.311198i	0.988799	−	0.149254i	$-0.0476872\pi$
$757$	2.78203	+	8.56219i	0.101114	+	0.311198i	−0.887684	+	0.460452i	$0.847687\pi$
$758$	36.7025			1.33309
$759$	17.6961	+	14.4750i	0.642327	+	0.525407i
$760$	3.67961			0.133473
$761$	2.56374	+	7.89038i	0.0929355	+	0.286026i	0.986710	−	0.162490i	$-0.0519526\pi$
$761$	2.56374	+	7.89038i	0.0929355	+	0.286026i	−0.893775	+	0.448516i	$0.851953\pi$
$762$	−9.62983	−	6.99648i	−0.348852	−	0.253456i
$763$	5.15132	−	3.74265i	0.186490	−	0.135493i
$764$	−1.53972	+	4.73876i	−0.0557050	+	0.171442i
$765$	−2.40431	+	7.39971i	−0.0869280	+	0.267537i
$766$	17.9281	−	13.0255i	0.647767	−	0.470630i
$767$	−13.4990	−	9.80761i	−0.487421	−	0.354132i
$768$	−4.85832	−	14.9524i	−0.175310	−	0.539547i
$769$	2.89088			0.104248			0.0521239	−	0.998641i	$-0.483401\pi$
$769$	2.89088			0.104248			0.0521239	+	0.998641i	$0.483401\pi$
$770$	2.15483	−	1.38431i	0.0776546	−	0.0498872i
$771$	−18.6991			−0.673432
$772$	−4.72047	−	14.5281i	−0.169894	−	0.522879i
$773$	22.5293	+	16.3685i	0.810322	+	0.588734i	0.913924	−	0.405885i	$-0.133037\pi$
$773$	22.5293	+	16.3685i	0.810322	+	0.588734i	−0.103602	+	0.994619i	$0.533037\pi$
$774$	−6.49424	+	4.71834i	−0.233431	+	0.169597i
$775$	−2.37364	+	7.30532i	−0.0852637	+	0.262415i
$776$	−3.14890	+	9.69132i	−0.113039	+	0.347898i
$777$	4.81271	−	3.49664i	0.172655	−	0.125441i
$778$	24.4326	+	17.7513i	0.875952	+	0.636417i
$779$	0.0863407	+	0.265729i	0.00309348	+	0.00952074i
$780$	3.77222			0.135067
$781$	0.807189	−	2.07222i	0.0288835	−	0.0741500i
$782$	58.7433			2.10066
$783$	0.410191	+	1.26244i	0.0146590	+	0.0451158i
$784$	−9.25304	−	6.72273i	−0.330466	−	0.240098i
$785$	−9.18388	+	6.67248i	−0.327787	+	0.238151i
$786$	−3.96321	+	12.1975i	−0.141363	+	0.435070i
$787$	−7.67461	+	23.6200i	−0.273570	+	0.841963i	0.716024	+	0.698076i	$0.245960\pi$
$787$	−7.67461	+	23.6200i	−0.273570	+	0.841963i	−0.989594	+	0.143887i	$0.954040\pi$
$788$	4.40324	−	3.19914i	0.156859	−	0.113965i
$789$	−3.22814	−	2.34538i	−0.114925	−	0.0834977i
$790$	0.771790	+	2.37533i	0.0274591	+	0.0845103i
$791$	−2.76152			−0.0981883
$792$	−3.69232	+	9.47896i	−0.131201	+	0.336820i
$793$	51.2426			1.81968
$794$	3.98037	+	12.2503i	0.141258	+	0.434748i
$795$	−5.52018	−	4.01064i	−0.195781	−	0.142243i
$796$	13.7896	−	10.0187i	0.488758	−	0.355103i
$797$	−0.868668	+	2.67348i	−0.0307698	+	0.0946997i	−0.965262	−	0.261284i	$-0.915854\pi$
$797$	−0.868668	+	2.67348i	−0.0307698	+	0.0946997i	0.934492	+	0.355984i	$0.115854\pi$
$798$	0.286277	−	0.881070i	0.0101341	−	0.0311895i
$799$	52.3852	−	38.0600i	1.85325	−	1.34647i
$800$	−3.40431	−	2.47338i	−0.120361	−	0.0874471i
$801$	−1.03435	−	3.18340i	−0.0365469	−	0.112480i
$802$	−8.46012			−0.298737
$803$	13.9642	−	8.97095i	0.492786	−	0.316578i
$804$	1.63296			0.0575901
$805$	1.50181	+	4.62208i	0.0529317	+	0.162907i
$806$	−32.0811	−	23.3083i	−1.13001	−	0.820998i
$807$	10.2866	−	7.47368i	0.362107	−	0.263086i
$808$	17.9343	−	55.1961i	0.630926	−	1.94179i
$809$	3.60825	−	11.1051i	0.126859	−	0.390433i	−0.867376	−	0.497654i	$-0.834195\pi$
$809$	3.60825	−	11.1051i	0.126859	−	0.390433i	0.994235	+	0.107220i	$0.0341950\pi$
$810$	−0.886111	+	0.643798i	−0.0311348	+	0.0226207i
$811$	−19.4722	−	14.1474i	−0.683761	−	0.496782i	0.190842	−	0.981621i	$-0.438878\pi$
$811$	−19.4722	−	14.1474i	−0.683761	−	0.496782i	−0.874603	+	0.484839i	$0.838878\pi$
$812$	0.231455	+	0.712347i	0.00812250	+	0.0249985i
$813$	23.8280			0.835684
$814$	−23.7251	−	19.4066i	−0.831565	−	0.680199i
$815$	−1.79253			−0.0627895
$816$	4.22872	+	13.0147i	0.148035	+	0.455604i
$817$	7.11310	+	5.16797i	0.248856	+	0.180804i
$818$	−14.8343	+	10.7777i	−0.518669	+	0.376835i
$819$	1.02689	−	3.16043i	0.0358823	−	0.110434i
$820$	0.0576002	−	0.177275i	0.00201148	−	0.00619071i
$821$	−3.92827	+	2.85406i	−0.137098	+	0.0996073i	−0.654220	−	0.756304i	$-0.727003\pi$
$821$	−3.92827	+	2.85406i	−0.137098	+	0.0996073i	0.517123	+	0.855911i	$0.327003\pi$
$822$	−18.1034	−	13.1529i	−0.631430	−	0.458761i
$823$	8.05300	+	24.7846i	0.280710	+	0.863937i	0.987652	+	0.156665i	$0.0500743\pi$
$823$	8.05300	+	24.7846i	0.280710	+	0.863937i	−0.706942	+	0.707272i	$0.749926\pi$
$824$	55.5050			1.93361
$825$	0.842610	+	3.20780i	0.0293359	+	0.111681i
$826$	2.73376			0.0951195
$827$	−5.03212	−	15.4873i	−0.174984	−	0.538546i	0.824649	−	0.565645i	$-0.191373\pi$
$827$	−5.03212	−	15.4873i	−0.174984	−	0.538546i	−0.999633	+	0.0270996i	$0.991373\pi$
$828$	−4.46321	−	3.24271i	−0.155107	−	0.112692i
$829$	8.10161	−	5.88616i	0.281380	−	0.204435i	−0.438139	−	0.898907i	$-0.644362\pi$
$829$	8.10161	−	5.88616i	0.281380	−	0.204435i	0.719519	+	0.694472i	$0.244362\pi$
$830$	−0.714156	+	2.19795i	−0.0247887	+	0.0762918i
$831$	2.29059	−	7.04973i	0.0794598	−	0.244552i
$832$	30.9879	−	22.5140i	1.07431	−	0.780534i
$833$	−40.9331	−	29.7396i	−1.41825	−	1.03042i
$834$	−2.76559	−	8.51162i	−0.0957647	−	0.294733i
$835$	6.02450			0.208486
$836$	3.17917	+	0.182326i	0.109954	+	0.00630587i
$837$	−7.68126			−0.265503
$838$	−12.8944	−	39.6849i	−0.445430	−	1.37089i
$839$	−9.50855	−	6.90837i	−0.328272	−	0.238503i	0.411425	−	0.911444i	$-0.365031\pi$
$839$	−9.50855	−	6.90837i	−0.328272	−	0.238503i	−0.739697	+	0.672940i	$0.765031\pi$
$840$	−1.74948	+	1.27107i	−0.0603629	+	0.0438562i
$841$	−8.41700	+	25.9049i	−0.290242	+	0.893271i
$842$	−7.67073	+	23.6081i	−0.264351	+	0.813588i
$843$	23.5274	−	17.0937i	0.810327	−	0.588737i
$844$	−5.75659	−	4.18240i	−0.198150	−	0.143964i
$845$	2.84773	+	8.76442i	0.0979650	+	0.301505i
$846$	9.11534			0.313392
$847$	6.75427	−	3.81133i	0.232079	−	0.130959i
$848$	−12.0009			−0.412113
$849$	−6.69730	−	20.6122i	−0.229851	−	0.707407i
$850$	6.89440	+	5.00908i	0.236476	+	0.171810i
$851$	47.0541	−	34.1868i	1.61299	−	1.17191i
$852$	−0.165832	+	0.510378i	−0.00568131	+	0.0174853i
$853$	−14.1021	+	43.4018i	−0.482847	+	1.48605i	0.352229	+	0.935914i	$0.385424\pi$
$853$	−14.1021	+	43.4018i	−0.482847	+	1.48605i	−0.835076	+	0.550135i	$0.814576\pi$
$854$	−6.79210	+	4.93475i	−0.232421	+	0.168864i
$855$	0.970553	+	0.705148i	0.0331922	+	0.0241155i
$856$	5.80009	+	17.8508i	0.198243	+	0.610129i
$857$	−8.41558			−0.287471			−0.143735	−	0.989616i	$-0.545911\pi$
$857$	−8.41558			−0.287471			−0.143735	+	0.989616i	$0.545911\pi$
$858$	−17.0939	−	0.980336i	−0.583577	−	0.0334681i
$859$	−45.3009			−1.54565			−0.772823	−	0.634622i	$-0.781156\pi$
$859$	−45.3009			−1.54565			−0.772823	+	0.634622i	$0.781156\pi$
$860$	−1.81256	−	5.57848i	−0.0618077	−	0.190225i
$861$	−0.132844	−	0.0965167i	−0.00452730	−	0.00328928i
$862$	30.1071	−	21.8741i	1.02545	−	0.745034i
$863$	−3.72644	+	11.4688i	−0.126849	+	0.390402i	−0.994233	−	0.107237i	$-0.965800\pi$
$863$	−3.72644	+	11.4688i	−0.126849	+	0.390402i	0.867384	+	0.497639i	$0.165800\pi$
$864$	1.30033	−	4.00201i	0.0442382	−	0.136151i
$865$	−3.38715	+	2.46091i	−0.115166	+	0.0836733i
$866$	32.4984	+	23.6115i	1.10434	+	0.802350i
$867$	13.4535	+	41.4056i	0.456904	+	1.40621i
$868$	−4.33425			−0.147114
$869$	1.92138	+	7.31466i	0.0651783	+	0.248133i
$870$	1.45390			0.0492918
$871$	2.97178	+	9.14618i	0.100695	+	0.309907i
$872$	22.4103	+	16.2820i	0.758907	+	0.551378i
$873$	−2.68778	+	1.95279i	−0.0909676	+	0.0660919i
$874$	2.79894	−	8.61426i	0.0946757	−	0.291382i
$875$	−0.217868	+	0.670530i	−0.00736530	+	0.0226681i
$876$	−3.24021	+	2.35415i	−0.109477	+	0.0795395i
$877$	17.1058	+	12.4281i	0.577621	+	0.419666i	0.837866	−	0.545876i	$-0.183803\pi$
$877$	17.1058	+	12.4281i	0.577621	+	0.419666i	−0.260245	+	0.965543i	$0.583803\pi$
$878$	0.355427	+	1.09389i	0.0119951	+	0.0369170i
$879$	−8.41220			−0.283736
$880$	4.51519	+	3.69331i	0.152207	+	0.124501i
$881$	−13.1669			−0.443605			−0.221803	−	0.975092i	$-0.571194\pi$
$881$	−13.1669			−0.443605			−0.221803	+	0.975092i	$0.571194\pi$
$882$	−2.20101	−	6.77401i	−0.0741118	−	0.228093i
$883$	28.1293	+	20.4371i	0.946627	+	0.687765i	0.950007	−	0.312230i	$-0.101076\pi$
$883$	28.1293	+	20.4371i	0.946627	+	0.687765i	−0.00337992	+	0.999994i	$0.501076\pi$
$884$	23.7445	−	17.2514i	0.798614	−	0.580227i
$885$	−1.09395	+	3.36685i	−0.0367729	+	0.113175i
$886$	−10.3301	+	31.7929i	−0.347048	+	1.06810i
$887$	16.9542	−	12.3179i	0.569266	−	0.413596i	−0.265573	−	0.964091i	$-0.585561\pi$
$887$	16.9542	−	12.3179i	0.569266	−	0.413596i	0.834838	+	0.550495i	$0.185561\pi$
$888$	20.9372	+	15.2117i	0.702605	+	0.510473i
$889$	−2.36769	−	7.28700i	−0.0794097	−	0.244398i
$890$	−3.66619			−0.122891
$891$	−2.79042	+	1.79264i	−0.0934827	+	0.0600556i
$892$	−4.33555			−0.145165
$893$	−3.08522	−	9.49533i	−0.103243	−	0.317749i
$894$	8.50860	+	6.18186i	0.284570	+	0.206752i
$895$	−3.92507	+	2.85173i	−0.131201	+	0.0953229i
$896$	−0.105680	+	0.325249i	−0.00353052	+	0.0108658i
$897$	10.0399	−	30.8997i	0.335223	−	1.03171i
$898$	32.4046	−	23.5433i	1.08136	−	0.785652i
$899$	8.24886	+	5.99314i	0.275115	+	0.199883i
$900$	−0.247316	−	0.761160i	−0.00824386	−	0.0253720i
$901$	−53.0889			−1.76865
$902$	−0.307087	+	0.788357i	−0.0102249	+	0.0262494i
$903$	−5.16716			−0.171952
$904$	−3.71243	−	11.4257i	−0.123474	−	0.380013i
$905$	18.6784	+	13.5706i	0.620890	+	0.451103i
$906$	−6.12105	+	4.44720i	−0.203358	+	0.147748i
$907$	8.10886	−	24.9565i	0.269250	−	0.828667i	−0.721433	−	0.692484i	$-0.756516\pi$
$907$	8.10886	−	24.9565i	0.269250	−	0.828667i	0.990684	−	0.136183i	$-0.0434836\pi$
$908$	2.08695	−	6.42299i	0.0692580	−	0.213154i
$909$	15.3080	−	11.1219i	0.507736	−	0.368891i
$910$	−2.94461	−	2.13939i	−0.0976129	−	0.0709199i
$911$	−12.2556	−	37.7188i	−0.406045	−	1.24968i	−0.920019	−	0.391873i	$-0.871827\pi$
$911$	−12.2556	−	37.7188i	−0.406045	−	1.24968i	0.513974	−	0.857806i	$-0.328173\pi$
$912$	2.10999			0.0698687
$913$	−2.54003	+	6.52079i	−0.0840628	+	0.215807i
$914$	−2.61128			−0.0863734
$915$	−3.35959	−	10.3397i	−0.111065	−	0.341821i
$916$	−7.25521	−	5.27122i	−0.239719	−	0.174166i
$917$	−6.67887	+	4.85249i	−0.220556	+	0.160243i
$918$	−2.63343	+	8.10486i	−0.0869161	+	0.267500i
$919$	4.62777	−	14.2428i	0.152656	−	0.469827i	−0.845260	−	0.534356i	$-0.820554\pi$
$919$	4.62777	−	14.2428i	0.152656	−	0.469827i	0.997916	+	0.0645285i	$0.0205543\pi$
$920$	−17.1048	+	12.4273i	−0.563928	+	0.409717i
$921$	−19.2086	−	13.9558i	−0.632944	−	0.459861i
$922$	9.67881	+	29.7883i	0.318754	+	0.981025i
$923$	−3.16041			−0.104026
$924$	−1.57453	+	1.01152i	−0.0517983	+	0.0332765i
$925$	8.43763			0.277427
$926$	−10.3504	−	31.8554i	−0.340137	−	1.04683i
$927$	14.6403	+	10.6368i	0.480850	+	0.349358i
$928$	−4.51890	+	3.28317i	−0.148340	+	0.107775i
$929$	−15.3415	+	47.2162i	−0.503338	+	1.54911i	0.300210	+	0.953873i	$0.402943\pi$
$929$	−15.3415	+	47.2162i	−0.503338	+	1.54911i	−0.803547	+	0.595241i	$0.797057\pi$
$930$	−2.59983	+	8.00147i	−0.0852519	+	0.262378i
$931$	−6.31143	+	4.58552i	−0.206849	+	0.150284i
$932$	3.78115	+	2.74717i	0.123856	+	0.0899865i
$933$	7.12194	+	21.9191i	0.233162	+	0.717598i
$934$	−4.09880			−0.134117
$935$	19.9740	+	16.3383i	0.653220	+	0.534318i
$936$	14.4567			0.472530
$937$	−16.7770	−	51.6342i	−0.548079	−	1.68682i	−0.713553	−	0.700601i	$-0.752915\pi$
$937$	−16.7770	−	51.6342i	−0.548079	−	1.68682i	0.165474	−	0.986214i	$-0.447085\pi$
$938$	−1.27469	−	0.926120i	−0.0416203	−	0.0302389i
$939$	14.0476	−	10.2062i	0.458427	−	0.333066i
$940$	−2.05823	+	6.33459i	−0.0671321	+	0.206611i
$941$	2.05826	−	6.33466i	0.0670972	−	0.206504i	−0.911886	−	0.410442i	$-0.865374\pi$
$941$	2.05826	−	6.33466i	0.0670972	−	0.206504i	0.978984	+	0.203938i	$0.0653743\pi$
$942$	−10.0590	+	7.30833i	−0.327742	+	0.238118i
$943$	−1.29882	−	0.943648i	−0.0422954	−	0.0307294i
$944$	1.92406	+	5.92164i	0.0626227	+	0.192733i
$945$	−0.705037			−0.0229349
$946$	6.76390	+	25.7501i	0.219913	+	0.837207i
$947$	−42.6250			−1.38513			−0.692563	−	0.721358i	$-0.743518\pi$
$947$	−42.6250			−1.38513			−0.692563	+	0.721358i	$0.743518\pi$
$948$	−0.563947	−	1.73565i	−0.0183161	−	0.0563713i
$949$	−19.0823	−	13.8641i	−0.619439	−	0.450049i
$950$	1.06304	−	0.772344i	0.0344896	−	0.0250581i
$951$	−1.90075	+	5.84990i	−0.0616360	+	0.189696i
$952$	−5.19927	+	16.0017i	−0.168509	+	0.518619i
$953$	13.5542	−	9.84772i	0.439064	−	0.318999i	−0.346199	−	0.938161i	$-0.612528\pi$
$953$	13.5542	−	9.84772i	0.439064	−	0.318999i	0.785263	+	0.619162i	$0.212528\pi$
$954$	−6.04622	−	4.39283i	−0.195754	−	0.142223i
$955$	1.92385	+	5.92100i	0.0622543	+	0.191599i
$956$	13.2264			0.427772
$957$	4.39528	+	0.252069i	0.142079	+	0.00814825i
$958$	−1.03500			−0.0334393
$959$	−4.45110	−	13.6991i	−0.143733	−	0.442366i
$960$	−6.57453	−	4.77668i	−0.212192	−	0.154167i
$961$	−22.6539	+	16.4590i	−0.730772	+	0.530937i
$962$	−13.4605	+	41.4271i	−0.433984	+	1.33566i
$963$	−1.89101	+	5.81994i	−0.0609370	+	0.187545i
$964$	−2.13138	+	1.54854i	−0.0686470	+	0.0498750i
$965$	−15.4416	−	11.2190i	−0.497082	−	0.361151i
$966$	1.64492	+	5.06254i	0.0529244	+	0.162885i
$967$	−50.1233			−1.61186			−0.805928	−	0.592014i	$-0.798333\pi$
$967$	−50.1233			−1.61186			−0.805928	+	0.592014i	$0.798333\pi$
$968$	24.8493	+	22.8218i	0.798687	+	0.733521i
$969$	9.33404			0.299853
$970$	1.12447	+	3.46078i	0.0361047	+	0.111119i
$971$	−32.4602	−	23.5837i	−1.04170	−	0.756837i	−0.0710811	−	0.997471i	$-0.522645\pi$
$971$	−32.4602	−	23.5837i	−1.04170	−	0.756837i	−0.970616	+	0.240633i	$0.922645\pi$
$972$	0.647481	−	0.470423i	0.0207680	−	0.0150888i
$973$	1.78020	−	5.47890i	0.0570707	−	0.175646i
$974$	−4.53113	+	13.9454i	−0.145187	+	0.446839i
$975$	3.81316	−	2.77042i	0.122119	−	0.0887246i
$976$	−15.4696	−	11.2393i	−0.495170	−	0.359762i
$977$	−7.46838	−	22.9853i	−0.238935	−	0.735365i	−0.996575	−	0.0826930i	$-0.973648\pi$
$977$	−7.46838	−	22.9853i	−0.238935	−	0.735365i	0.757640	−	0.652672i	$-0.226352\pi$
$978$	−1.96335			−0.0627809
$979$	−11.0833	−	0.635626i	−0.354223	−	0.0203147i
$980$	5.20449			0.166251
$981$	2.79082	+	8.58925i	0.0891039	+	0.274234i
$982$	2.47125	+	1.79547i	0.0788608	+	0.0572958i
$983$	−18.8518	+	13.6966i	−0.601278	+	0.436854i	−0.846332	−	0.532656i	$-0.821194\pi$
$983$	−18.8518	+	13.6966i	−0.601278	+	0.436854i	0.245055	+	0.969509i	$0.421194\pi$
$984$	0.220747	−	0.679388i	0.00703715	−	0.0216581i
$985$	2.10149	−	6.46772i	0.0669590	−	0.206079i
$986$	9.15166	−	6.64907i	0.291448	−	0.211750i
$987$	4.74692	+	3.44884i	0.151096	+	0.109778i
$988$	−1.39843	−	4.30393i	−0.0444900	−	0.136926i
$989$	−50.5195			−1.60643
$990$	0.922906	+	3.51349i	0.0293319	+	0.111666i
$991$	−54.0689			−1.71756			−0.858778	−	0.512348i	$-0.828776\pi$
$991$	−54.0689			−1.71756			−0.858778	+	0.512348i	$0.828776\pi$
$992$	−9.98818	−	30.7405i	−0.317125	−	0.976011i
$993$	−15.7104	−	11.4143i	−0.498554	−	0.362220i
$994$	0.418906	−	0.304353i	0.0132869	−	0.00965348i
$995$	6.58121	−	20.2549i	0.208638	−	0.642122i
$996$	0.521833	−	1.60604i	0.0165349	−	0.0508893i
$997$	−41.0260	+	29.8071i	−1.29931	+	0.944001i	−0.999949	−	0.0101405i	$-0.996772\pi$
$997$	−41.0260	+	29.8071i	−1.29931	+	0.944001i	−0.299357	+	0.954141i	$0.596772\pi$
$998$	−15.7542	−	11.4461i	−0.498691	−	0.362320i
$999$	2.60737	+	8.02466i	0.0824935	+	0.253889i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.m.d.16.2	✓	8
3.2	odd	2		495.2.n.a.181.1		8
5.2	odd	4		825.2.bx.f.49.2		16
5.3	odd	4		825.2.bx.f.49.3		16
5.4	even	2		825.2.n.g.676.1		8
11.3	even	5		1815.2.a.p.1.4		4
11.8	odd	10		1815.2.a.w.1.1		4
11.9	even	5	inner	165.2.m.d.31.2	yes	8
33.8	even	10		5445.2.a.bf.1.4		4
33.14	odd	10		5445.2.a.bt.1.1		4
33.20	odd	10		495.2.n.a.361.1		8
55.9	even	10		825.2.n.g.526.1		8
55.14	even	10		9075.2.a.di.1.1		4
55.19	odd	10		9075.2.a.cm.1.4		4
55.42	odd	20		825.2.bx.f.724.3		16
55.53	odd	20		825.2.bx.f.724.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.m.d.16.2	✓	8	1.1	even	1	trivial
165.2.m.d.31.2	yes	8	11.9	even	5	inner
495.2.n.a.181.1		8	3.2	odd	2
495.2.n.a.361.1		8	33.20	odd	10
825.2.n.g.526.1		8	55.9	even	10
825.2.n.g.676.1		8	5.4	even	2
825.2.bx.f.49.2		16	5.2	odd	4
825.2.bx.f.49.3		16	5.3	odd	4
825.2.bx.f.724.2		16	55.53	odd	20
825.2.bx.f.724.3		16	55.42	odd	20
1815.2.a.p.1.4		4	11.3	even	5
1815.2.a.w.1.1		4	11.8	odd	10
5445.2.a.bf.1.4		4	33.8	even	10
5445.2.a.bt.1.1		4	33.14	odd	10
9075.2.a.cm.1.4		4	55.19	odd	10
9075.2.a.di.1.1		4	55.14	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.m (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.338464 + 1.04169i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(0.647481 - 0.470423i) q^{4} +(0.309017 - 0.951057i) q^{5} +(0.338464 - 1.04169i) q^{6} +(0.570387 - 0.414410i) q^{7} +(2.48141 + 1.80285i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.338464 + 1.04169i) q^{2} +(-0.809017 - 0.587785i) q^{3} +(0.647481 - 0.470423i) q^{4} +(0.309017 - 0.951057i) q^{5} +(0.338464 - 1.04169i) q^{6} +(0.570387 - 0.414410i) q^{7} +(2.48141 + 1.80285i) q^{8} +(0.309017 + 0.951057i) q^{9} +1.09529 q^{10} +(3.31118 + 0.189896i) q^{11} -0.800331 q^{12} +(-1.45650 - 4.48264i) q^{13} +(0.624741 + 0.453901i) q^{14} +(-0.809017 + 0.587785i) q^{15} +(-0.543502 + 1.67273i) q^{16} +(-2.40431 + 7.39971i) q^{17} +(-0.886111 + 0.643798i) q^{18} +(0.970553 + 0.705148i) q^{19} +(-0.247316 - 0.761160i) q^{20} -0.705037 q^{21} +(0.922906 + 3.51349i) q^{22} -6.89318 q^{23} +(-0.947813 - 2.91707i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(4.17653 - 3.03443i) q^{26} +(0.309017 - 0.951057i) q^{27} +(0.174367 - 0.536646i) q^{28} +(-1.07389 + 0.780229i) q^{29} +(-0.886111 - 0.643798i) q^{30} +(-2.37364 - 7.30532i) q^{31} +4.20796 q^{32} +(-2.56719 - 2.09989i) q^{33} -8.52195 q^{34} +(-0.217868 - 0.670530i) q^{35} +(0.647481 + 0.470423i) q^{36} +(-6.82618 + 4.95951i) q^{37} +(-0.406045 + 1.24968i) q^{38} +(-1.45650 + 4.48264i) q^{39} +(2.48141 - 1.80285i) q^{40} +(0.188421 + 0.136896i) q^{41} +(-0.238630 - 0.734428i) q^{42} +7.32892 q^{43} +(2.23326 - 1.43470i) q^{44} +1.00000 q^{45} +(-2.33310 - 7.18053i) q^{46} +(-6.73287 - 4.89171i) q^{47} +(1.42291 - 1.03380i) q^{48} +(-2.00951 + 6.18465i) q^{49} +(0.338464 - 1.04169i) q^{50} +(6.29457 - 4.57327i) q^{51} +(-3.05179 - 2.21726i) q^{52} +(2.10852 + 6.48936i) q^{53} +1.09529 q^{54} +(1.20381 - 3.09044i) q^{55} +2.16248 q^{56} +(-0.370718 - 1.14095i) q^{57} +(-1.17623 - 0.854580i) q^{58} +(2.86401 - 2.08083i) q^{59} +(-0.247316 + 0.761160i) q^{60} +(-3.35959 + 10.3397i) q^{61} +(6.80645 - 4.94518i) q^{62} +(0.570387 + 0.414410i) q^{63} +(2.51125 + 7.72883i) q^{64} -4.71333 q^{65} +(1.31853 - 3.38494i) q^{66} -2.04036 q^{67} +(1.92424 + 5.92222i) q^{68} +(5.57670 + 4.05171i) q^{69} +(0.624741 - 0.453901i) q^{70} +(0.207204 - 0.637709i) q^{71} +(-0.947813 + 2.91707i) q^{72} +(4.04859 - 2.94147i) q^{73} +(-7.47668 - 5.43212i) q^{74} +(0.309017 + 0.951057i) q^{75} +0.960132 q^{76} +(1.96735 - 1.26387i) q^{77} -5.16248 q^{78} +(0.704642 + 2.16867i) q^{79} +(1.42291 + 1.03380i) q^{80} +(-0.809017 + 0.587785i) q^{81} +(-0.0788288 + 0.242610i) q^{82} +(-0.652022 + 2.00672i) q^{83} +(-0.456498 + 0.331666i) q^{84} +(6.29457 + 4.57327i) q^{85} +(2.48058 + 7.63443i) q^{86} +1.32741 q^{87} +(7.87404 + 6.44077i) q^{88} -3.34722 q^{89} +(0.338464 + 1.04169i) q^{90} +(-2.68842 - 1.95325i) q^{91} +(-4.46321 + 3.24271i) q^{92} +(-2.37364 + 7.30532i) q^{93} +(2.81680 - 8.66921i) q^{94} +(0.970553 - 0.705148i) q^{95} +(-3.40431 - 2.47338i) q^{96} +(1.02664 + 3.15968i) q^{97} -7.12261 q^{98} +(0.842610 + 3.20780i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9	\( 8 q + 4 q^{2} - 2 q^{3} + 2 q^{4} - 2 q^{5} + 4 q^{6} + 3 q^{7} - q^{8} - 2 q^{9} - 6 q^{10} + 3 q^{11} + 2 q^{12} - 4 q^{13} - 4 q^{14} - 2 q^{15} - 12 q^{16} - q^{18} + 2 q^{19} - 3 q^{20} - 12 q^{21} + 9 q^{22} - 6 q^{23} + 4 q^{24} - 2 q^{25} + 2 q^{26} - 2 q^{27} - 11 q^{28} + 10 q^{29} - q^{30} + 19 q^{31} + 12 q^{32} - 2 q^{33} - 6 q^{34} + 3 q^{35} + 2 q^{36} - q^{37} - 20 q^{38} - 4 q^{39} - q^{40} - 9 q^{41} + q^{42} + 17 q^{44} + 8 q^{45} - 22 q^{46} - 19 q^{47} + 13 q^{48} + q^{49} + 4 q^{50} + 10 q^{51} - 2 q^{52} + 25 q^{53} - 6 q^{54} + 3 q^{55} - 16 q^{56} + 7 q^{57} - 12 q^{58} + 13 q^{59} - 3 q^{60} + 13 q^{61} + 35 q^{62} + 3 q^{63} + 39 q^{64} - 14 q^{65} - 11 q^{66} + 2 q^{67} + 19 q^{68} + 9 q^{69} - 4 q^{70} - 11 q^{71} + 4 q^{72} - 7 q^{73} - 43 q^{74} - 2 q^{75} - 38 q^{76} - 7 q^{77} - 8 q^{78} - 22 q^{79} + 13 q^{80} - 2 q^{81} - 35 q^{82} - 21 q^{83} + 4 q^{84} + 10 q^{85} + 20 q^{86} - 30 q^{87} + 59 q^{88} - 20 q^{89} + 4 q^{90} - 11 q^{91} - 28 q^{92} + 19 q^{93} - 35 q^{94} + 2 q^{95} - 8 q^{96} + 31 q^{97} + 22 q^{98} - 7 q^{99}+O(q^{100}) \) 8 * q + 4 * q^2 - 2 * q^3 + 2 * q^4 - 2 * q^5 + 4 * q^6 + 3 * q^7 - q^8 - 2 * q^9 - 6 * q^10 + 3 * q^11 + 2 * q^12 - 4 * q^13 - 4 * q^14 - 2 * q^15 - 12 * q^16 - q^18 + 2 * q^19 - 3 * q^20 - 12 * q^21 + 9 * q^22 - 6 * q^23 + 4 * q^24 - 2 * q^25 + 2 * q^26 - 2 * q^27 - 11 * q^28 + 10 * q^29 - q^30 + 19 * q^31 + 12 * q^32 - 2 * q^33 - 6 * q^34 + 3 * q^35 + 2 * q^36 - q^37 - 20 * q^38 - 4 * q^39 - q^40 - 9 * q^41 + q^42 + 17 * q^44 + 8 * q^45 - 22 * q^46 - 19 * q^47 + 13 * q^48 + q^49 + 4 * q^50 + 10 * q^51 - 2 * q^52 + 25 * q^53 - 6 * q^54 + 3 * q^55 - 16 * q^56 + 7 * q^57 - 12 * q^58 + 13 * q^59 - 3 * q^60 + 13 * q^61 + 35 * q^62 + 3 * q^63 + 39 * q^64 - 14 * q^65 - 11 * q^66 + 2 * q^67 + 19 * q^68 + 9 * q^69 - 4 * q^70 - 11 * q^71 + 4 * q^72 - 7 * q^73 - 43 * q^74 - 2 * q^75 - 38 * q^76 - 7 * q^77 - 8 * q^78 - 22 * q^79 + 13 * q^80 - 2 * q^81 - 35 * q^82 - 21 * q^83 + 4 * q^84 + 10 * q^85 + 20 * q^86 - 30 * q^87 + 59 * q^88 - 20 * q^89 + 4 * q^90 - 11 * q^91 - 28 * q^92 + 19 * q^93 - 35 * q^94 + 2 * q^95 - 8 * q^96 + 31 * q^97 + 22 * q^98 - 7 * q^99

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