LMFDB - Embedded newform 273.2.bw.b.158.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(11,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 8, 7]))

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

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

chi := DirichletCharacter("273.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bw (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			158.10
Character	$\chi$	$=$	273.158
Dual form			273.2.bw.b.254.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.12566 + 0.301621i) q^{2} +(-0.956672 - 1.44388i) q^{3} +(-0.555907 + 0.320953i) q^{4} +(-0.0307184 + 0.114643i) q^{5} +(1.51239 + 1.33677i) q^{6} +(-1.83159 + 1.90926i) q^{7} +(2.17704 - 2.17704i) q^{8} +(-1.16956 + 2.76263i) q^{9} +O(q^{10})$	\(q+(-1.12566 + 0.301621i) q^{2} +(-0.956672 - 1.44388i) q^{3} +(-0.555907 + 0.320953i) q^{4} +(-0.0307184 + 0.114643i) q^{5} +(1.51239 + 1.33677i) q^{6} +(-1.83159 + 1.90926i) q^{7} +(2.17704 - 2.17704i) q^{8} +(-1.16956 + 2.76263i) q^{9} -0.138314i q^{10} +(2.30816 - 2.30816i) q^{11} +(0.995238 + 0.495614i) q^{12} +(2.91361 + 2.12388i) q^{13} +(1.48589 - 2.70163i) q^{14} +(0.194917 - 0.0653219i) q^{15} +(-1.15207 + 1.99545i) q^{16} +(0.665993 + 1.15353i) q^{17} +(0.483261 - 3.46256i) q^{18} +(3.29820 - 3.29820i) q^{19} +(-0.0197183 - 0.0735899i) q^{20} +(4.50897 + 0.818062i) q^{21} +(-1.90203 + 3.29441i) q^{22} +(1.93397 - 3.34974i) q^{23} +(-5.22610 - 1.06067i) q^{24} +(4.31793 + 2.49296i) q^{25} +(-3.92035 - 1.51196i) q^{26} +(5.10778 - 0.954237i) q^{27} +(0.405414 - 1.64923i) q^{28} +(4.77597 - 2.75741i) q^{29} +(-0.199709 + 0.132322i) q^{30} +(2.08744 + 7.79044i) q^{31} +(-0.898730 + 3.35411i) q^{32} +(-5.54086 - 1.12455i) q^{33} +(-1.09761 - 1.09761i) q^{34} +(-0.162619 - 0.268628i) q^{35} +(-0.236510 - 1.91114i) q^{36} +(1.91363 - 0.512755i) q^{37} +(-2.71786 + 4.70746i) q^{38} +(0.279242 - 6.23875i) q^{39} +(0.182707 + 0.316458i) q^{40} +(-3.06784 + 11.4493i) q^{41} +(-5.32232 + 0.439135i) q^{42} +(-0.721158 - 0.416361i) q^{43} +(-0.542312 + 2.02394i) q^{44} +(-0.280789 - 0.218945i) q^{45} +(-1.16665 + 4.35400i) q^{46} +(-6.90470 - 1.85011i) q^{47} +(3.98333 - 0.245539i) q^{48} +(-0.290527 - 6.99397i) q^{49} +(-5.61246 - 1.50385i) q^{50} +(1.02842 - 2.06516i) q^{51} +(-2.30136 - 0.245545i) q^{52} +(-5.67844 - 3.27845i) q^{53} +(-5.46183 + 2.61476i) q^{54} +(0.193711 + 0.335517i) q^{55} +(0.169076 + 8.14400i) q^{56} +(-7.91748 - 1.60689i) q^{57} +(-4.54445 + 4.54445i) q^{58} +(4.47475 + 1.19901i) q^{59} +(-0.0873907 + 0.0988722i) q^{60} +8.26536 q^{61} +(-4.69952 - 8.13980i) q^{62} +(-3.13242 - 7.29301i) q^{63} -8.65496i q^{64} +(-0.332989 + 0.268782i) q^{65} +(6.57633 - 0.405376i) q^{66} +(-0.646649 + 0.646649i) q^{67} +(-0.740461 - 0.427505i) q^{68} +(-6.68678 + 0.412184i) q^{69} +(0.264078 + 0.253336i) q^{70} +(15.9044 - 4.26157i) q^{71} +(3.46820 + 8.56055i) q^{72} +(-12.6146 + 3.38008i) q^{73} +(-1.99944 + 1.15438i) q^{74} +(-0.531320 - 8.61950i) q^{75} +(-0.774925 + 2.89206i) q^{76} +(0.179260 + 8.63450i) q^{77} +(1.56740 + 7.10696i) q^{78} +(1.52818 + 2.64689i) q^{79} +(-0.193374 - 0.193374i) q^{80} +(-6.26427 - 6.46211i) q^{81} -13.8134i q^{82} +(-2.83853 - 2.83853i) q^{83} +(-2.76913 + 0.992401i) q^{84} +(-0.152702 + 0.0409165i) q^{85} +(0.937364 + 0.251166i) q^{86} +(-8.55040 - 4.25798i) q^{87} -10.0500i q^{88} +(-1.62276 - 6.05624i) q^{89} +(0.382112 + 0.161767i) q^{90} +(-9.39159 + 1.67276i) q^{91} +2.48286i q^{92} +(9.25143 - 10.4669i) q^{93} +8.33040 q^{94} +(0.276799 + 0.479429i) q^{95} +(5.70270 - 1.91112i) q^{96} +(3.43995 + 12.8381i) q^{97} +(2.43656 + 7.78523i) q^{98} +(3.67708 + 9.07614i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9}+O(q^{10}) $ 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9	$ 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9} - 48 q^{12} - 16 q^{13} - 6 q^{15} + 32 q^{16} + 22 q^{18} - 16 q^{19} - 18 q^{21} - 8 q^{22} - 4 q^{24} - 40 q^{27} - 76 q^{28} - 4 q^{31} + 50 q^{33} - 48 q^{34} - 60 q^{36} + 28 q^{37} + 40 q^{39} + 44 q^{40} + 44 q^{42} - 144 q^{43} + 58 q^{45} + 48 q^{46} - 64 q^{48} + 24 q^{49} + 36 q^{51} - 22 q^{54} - 16 q^{55} + 40 q^{57} - 28 q^{58} - 4 q^{60} - 40 q^{61} + 20 q^{63} - 34 q^{66} + 96 q^{67} - 54 q^{69} + 64 q^{70} - 98 q^{72} + 48 q^{73} - 12 q^{75} + 144 q^{76} + 82 q^{78} - 24 q^{79} - 48 q^{81} + 4 q^{84} + 56 q^{85} - 2 q^{87} - 24 q^{91} + 10 q^{93} + 32 q^{94} - 54 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9 - 48 * q^12 - 16 * q^13 - 6 * q^15 + 32 * q^16 + 22 * q^18 - 16 * q^19 - 18 * q^21 - 8 * q^22 - 4 * q^24 - 40 * q^27 - 76 * q^28 - 4 * q^31 + 50 * q^33 - 48 * q^34 - 60 * q^36 + 28 * q^37 + 40 * q^39 + 44 * q^40 + 44 * q^42 - 144 * q^43 + 58 * q^45 + 48 * q^46 - 64 * q^48 + 24 * q^49 + 36 * q^51 - 22 * q^54 - 16 * q^55 + 40 * q^57 - 28 * q^58 - 4 * q^60 - 40 * q^61 + 20 * q^63 - 34 * q^66 + 96 * q^67 - 54 * q^69 + 64 * q^70 - 98 * q^72 + 48 * q^73 - 12 * q^75 + 144 * q^76 + 82 * q^78 - 24 * q^79 - 48 * q^81 + 4 * q^84 + 56 * q^85 - 2 * q^87 - 24 * q^91 + 10 * q^93 + 32 * q^94 - 54 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.12566	+	0.301621i	−0.795964	+	0.213278i	−0.633811	−	0.773488i	$-0.718510\pi$
$2$	−1.12566	+	0.301621i	−0.795964	+	0.213278i	−0.162153	+	0.986766i	$0.551844\pi$
$3$	−0.956672	−	1.44388i	−0.552335	−	0.833622i
$3$	−0.956672	−	1.44388i	−0.552335	−	0.833622i
$4$	−0.555907	+	0.320953i	−0.277954	+	0.160477i
$5$	−0.0307184	+	0.114643i	−0.0137377	+	0.0512698i	−0.972454	−	0.233093i	$-0.925115\pi$
$5$	−0.0307184	+	0.114643i	−0.0137377	+	0.0512698i	0.958717	+	0.284363i	$0.0917820\pi$
$6$	1.51239	+	1.33677i	0.617432	+	0.545733i
$7$	−1.83159	+	1.90926i	−0.692277	+	0.721631i
$7$	−1.83159	+	1.90926i	−0.692277	+	0.721631i
$8$	2.17704	−	2.17704i	0.769701	−	0.769701i
$9$	−1.16956	+	2.76263i	−0.389852	+	0.920877i
$10$		−	0.138314i		−	0.0437389i
$11$	2.30816	−	2.30816i	0.695938	−	0.695938i	−0.267594	−	0.963532i	$-0.586229\pi$
$11$	2.30816	−	2.30816i	0.695938	−	0.695938i	0.963532	+	0.267594i	$0.0862286\pi$
$12$	0.995238	+	0.495614i	0.287300	+	0.143072i
$13$	2.91361	+	2.12388i	0.808091	+	0.589057i
$13$	2.91361	+	2.12388i	0.808091	+	0.589057i
$14$	1.48589	−	2.70163i	0.397120	−	0.722040i
$15$	0.194917	−	0.0653219i	0.0503274	−	0.0168660i
$16$	−1.15207	+	1.99545i	−0.288018	+	0.498862i
$17$	0.665993	+	1.15353i	0.161527	+	0.279773i	0.935417	−	0.353548i	$-0.115025\pi$
$17$	0.665993	+	1.15353i	0.161527	+	0.279773i	−0.773890	+	0.633321i	$0.781691\pi$
$18$	0.483261	−	3.46256i	0.113906	−	0.816133i
$19$	3.29820	−	3.29820i	0.756658	−	0.756658i	−0.219055	−	0.975713i	$-0.570297\pi$
$19$	3.29820	−	3.29820i	0.756658	−	0.756658i	0.975713	+	0.219055i	$0.0702973\pi$
$20$	−0.0197183	−	0.0735899i	−0.00440916	−	0.0164552i
$21$	4.50897	+	0.818062i	0.983937	+	0.178516i
$22$	−1.90203	+	3.29441i	−0.405513	+	0.702370i
$23$	1.93397	−	3.34974i	0.403261	−	0.698468i	−0.590857	−	0.806777i	$-0.701210\pi$
$23$	1.93397	−	3.34974i	0.403261	−	0.698468i	0.994117	+	0.108308i	$0.0345434\pi$
$24$	−5.22610	−	1.06067i	−1.06677	−	0.216507i
$25$	4.31793	+	2.49296i	0.863586	+	0.498591i
$26$	−3.92035	−	1.51196i	−0.768845	−	0.296521i
$27$	5.10778	−	0.954237i	0.982993	−	0.183643i
$28$	0.405414	−	1.64923i	0.0766161	−	0.311674i
$29$	4.77597	−	2.75741i	0.886876	−	0.512038i	0.0139567	−	0.999903i	$-0.495557\pi$
$29$	4.77597	−	2.75741i	0.886876	−	0.512038i	0.872919	+	0.487864i	$0.162224\pi$
$30$	−0.199709	+	0.132322i	−0.0364617	+	0.0241585i
$31$	2.08744	+	7.79044i	0.374916	+	1.39920i	0.853468	+	0.521145i	$0.174495\pi$
$31$	2.08744	+	7.79044i	0.374916	+	1.39920i	−0.478552	+	0.878059i	$0.658838\pi$
$32$	−0.898730	+	3.35411i	−0.158875	+	0.592928i
$33$	−5.54086	−	1.12455i	−0.964540	−	0.195759i
$34$	−1.09761	−	1.09761i	−0.188239	−	0.188239i
$35$	−0.162619	−	0.268628i	−0.0274876	−	0.0454065i
$36$	−0.236510	−	1.91114i	−0.0394184	−	0.318523i
$37$	1.91363	−	0.512755i	0.314598	−	0.0842964i	−0.0980649	−	0.995180i	$-0.531265\pi$
$37$	1.91363	−	0.512755i	0.314598	−	0.0842964i	0.412663	+	0.910884i	$0.364599\pi$
$38$	−2.71786	+	4.70746i	−0.440894	+	0.763651i
$39$	0.279242	−	6.23875i	0.0447145	−	0.999000i
$40$	0.182707	+	0.316458i	0.0288885	+	0.0500363i
$41$	−3.06784	+	11.4493i	−0.479116	+	1.78809i	0.126092	+	0.992019i	$0.459757\pi$
$41$	−3.06784	+	11.4493i	−0.479116	+	1.78809i	−0.605208	+	0.796067i	$0.706910\pi$
$42$	−5.32232	+	0.439135i	−0.821252	+	0.0677600i
$43$	−0.721158	−	0.416361i	−0.109976	−	0.0634944i	0.444003	−	0.896025i	$-0.353558\pi$
$43$	−0.721158	−	0.416361i	−0.109976	−	0.0634944i	−0.553979	+	0.832531i	$0.686891\pi$
$44$	−0.542312	+	2.02394i	−0.0817567	+	0.305120i
$45$	−0.280789	−	0.218945i	−0.0418575	−	0.0326384i
$46$	−1.16665	+	4.35400i	−0.172013	+	0.641962i
$47$	−6.90470	−	1.85011i	−1.00715	−	0.269866i	−0.282714	−	0.959204i	$-0.591235\pi$
$47$	−6.90470	−	1.85011i	−1.00715	−	0.269866i	−0.724440	+	0.689338i	$0.757902\pi$
$48$	3.98333	−	0.245539i	0.574945	−	0.0354405i
$49$	−0.290527	−	6.99397i	−0.0415038	−	0.999138i
$50$	−5.61246	−	1.50385i	−0.793722	−	0.212677i
$51$	1.02842	−	2.06516i	0.144008	−	0.289181i
$52$	−2.30136	−	0.245545i	−0.319142	−	0.0340509i
$53$	−5.67844	−	3.27845i	−0.779994	−	0.450330i	0.0564339	−	0.998406i	$-0.482027\pi$
$53$	−5.67844	−	3.27845i	−0.779994	−	0.450330i	−0.836428	+	0.548076i	$0.815360\pi$
$54$	−5.46183	+	2.61476i	−0.743260	+	0.355824i
$55$	0.193711	+	0.335517i	0.0261200	+	0.0452411i
$56$	0.169076	+	8.14400i	0.0225938	+	1.08829i
$57$	−7.91748	−	1.60689i	−1.04870	−	0.212838i
$58$	−4.54445	+	4.54445i	−0.596715	+	0.596715i
$59$	4.47475	+	1.19901i	0.582563	+	0.156097i	0.538052	−	0.842912i	$-0.319160\pi$
$59$	4.47475	+	1.19901i	0.582563	+	0.156097i	0.0445108	+	0.999009i	$0.485827\pi$
$60$	−0.0873907	+	0.0988722i	−0.0112821	+	0.0127644i
$61$	8.26536			1.05827			0.529135	−	0.848538i	$-0.322516\pi$
$61$	8.26536			1.05827			0.529135	+	0.848538i	$0.322516\pi$
$62$	−4.69952	−	8.13980i	−0.596839	−	1.03376i
$63$	−3.13242	−	7.29301i	−0.394648	−	0.918832i
$64$		−	8.65496i		−	1.08187i
$65$	−0.332989	+	0.268782i	−0.0413021	+	0.0333384i
$66$	6.57633	−	0.405376i	0.809490	−	0.0498983i
$67$	−0.646649	+	0.646649i	−0.0790007	+	0.0790007i	−0.745503	−	0.666502i	$-0.767791\pi$
$67$	−0.646649	+	0.646649i	−0.0790007	+	0.0790007i	0.666502	+	0.745503i	$0.267791\pi$
$68$	−0.740461	−	0.427505i	−0.0897940	−	0.0518426i
$69$	−6.68678	+	0.412184i	−0.804994	+	0.0496211i
$70$	0.264078	+	0.253336i	0.0315633	+	0.0302794i
$71$	15.9044	−	4.26157i	1.88751	−	0.505756i	0.888616	−	0.458653i	$-0.151668\pi$
$71$	15.9044	−	4.26157i	1.88751	−	0.505756i	0.998890	−	0.0471031i	$-0.0149989\pi$
$72$	3.46820	+	8.56055i	0.408731	+	1.00887i
$73$	−12.6146	+	3.38008i	−1.47643	+	0.395609i	−0.905131	−	0.425132i	$-0.860228\pi$
$73$	−12.6146	+	3.38008i	−1.47643	+	0.395609i	−0.571301	+	0.820741i	$0.693561\pi$
$74$	−1.99944	+	1.15438i	−0.232431	+	0.134194i
$75$	−0.531320	−	8.61950i	−0.0613515	−	0.995294i
$76$	−0.774925	+	2.89206i	−0.0888899	+	0.331742i
$77$	0.179260	+	8.63450i	0.0204285	+	0.983992i
$78$	1.56740	+	7.10696i	0.177474	+	0.804705i
$79$	1.52818	+	2.64689i	0.171934	+	0.297798i	0.939096	−	0.343655i	$-0.111665\pi$
$79$	1.52818	+	2.64689i	0.171934	+	0.297798i	−0.767162	+	0.641453i	$0.778332\pi$
$80$	−0.193374	−	0.193374i	−0.0216198	−	0.0216198i
$81$	−6.26427	−	6.46211i	−0.696030	−	0.718012i
$82$		−	13.8134i		−	1.52544i
$83$	−2.83853	−	2.83853i	−0.311569	−	0.311569i	0.533948	−	0.845517i	$-0.320708\pi$
$83$	−2.83853	−	2.83853i	−0.311569	−	0.311569i	−0.845517	+	0.533948i	$0.820708\pi$
$84$	−2.76913	+	0.992401i	−0.302136	+	0.108280i
$85$	−0.152702	+	0.0409165i	−0.0165629	+	0.00443802i
$86$	0.937364	+	0.251166i	0.101079	+	0.0270839i
$87$	−8.55040	−	4.25798i	−0.916699	−	0.456503i
$88$		−	10.0500i		−	1.07133i
$89$	−1.62276	−	6.05624i	−0.172013	−	0.641960i	−0.997041	−	0.0768691i	$-0.975508\pi$
$89$	−1.62276	−	6.05624i	−0.172013	−	0.641960i	0.825028	−	0.565091i	$-0.191159\pi$
$90$	0.382112	+	0.161767i	0.0402781	+	0.0170517i
$91$	−9.39159	+	1.67276i	−0.984506	+	0.175353i
$92$			2.48286i			0.258856i
$93$	9.25143	−	10.4669i	0.959329	−	1.08537i
$94$	8.33040			0.859215
$95$	0.276799	+	0.479429i	0.0283989	+	0.0491884i
$96$	5.70270	−	1.91112i	0.582030	−	0.195053i
$97$	3.43995	+	12.8381i	0.349274	+	1.30351i	0.887538	+	0.460734i	$0.152414\pi$
$97$	3.43995	+	12.8381i	0.349274	+	1.30351i	−0.538264	+	0.842776i	$0.680920\pi$
$98$	2.43656	+	7.78523i	0.246130	+	0.786427i
$99$	3.67708	+	9.07614i	0.369560	+	0.912186i
$100$	−3.20049			−0.320049
$101$	1.83176			0.182267			0.0911336	−	0.995839i	$-0.470951\pi$
$101$	1.83176			0.182267			0.0911336	+	0.995839i	$0.470951\pi$
$102$	−0.534762	+	2.63487i	−0.0529493	+	0.260891i
$103$	0.680677	−	0.392989i	0.0670691	−	0.0387224i	−0.466090	−	0.884737i	$-0.654338\pi$
$103$	0.680677	−	0.392989i	0.0670691	−	0.0387224i	0.533160	+	0.846015i	$0.321005\pi$
$104$	10.9668	−	1.71929i	1.07539	−	0.168591i
$105$	−0.232293	+	0.491790i	−0.0226695	+	0.0479938i
$106$	7.38087	+	1.97770i	0.716893	+	0.192091i
$107$	−2.87364	−	1.65909i	−0.277805	−	0.160391i	0.354624	−	0.935009i	$-0.384609\pi$
$107$	−2.87364	−	1.65909i	−0.277805	−	0.160391i	−0.632429	+	0.774618i	$0.717942\pi$
$108$	−2.53319	+	2.16983i	−0.243756	+	0.208792i
$109$	1.65408	+	6.17312i	0.158432	+	0.591278i	0.998787	+	0.0492407i	$0.0156801\pi$
$109$	1.65408	+	6.17312i	0.158432	+	0.591278i	−0.840355	+	0.542037i	$0.817653\pi$
$110$	−0.319252	−	0.319252i	−0.0304395	−	0.0304395i
$111$	−2.57107	−	2.27250i	−0.244035	−	0.215696i
$112$	−1.69969	−	5.85445i	−0.160606	−	0.553193i
$113$	4.48611	+	2.59006i	0.422018	+	0.243652i	0.695940	−	0.718100i	$-0.254988\pi$
$113$	4.48611	+	2.59006i	0.422018	+	0.243652i	−0.273922	+	0.961752i	$0.588321\pi$
$114$	9.39709	−	0.579252i	0.880118	−	0.0542519i
$115$	0.324614	+	0.324614i	0.0302704	+	0.0302704i
$116$	−1.77000	+	3.06573i	−0.164340	+	0.284646i
$117$	−9.27513	+	5.56525i	−0.857486	+	0.514507i
$118$	−5.39871			−0.496991
$119$	−3.42222	−	0.841253i	−0.313714	−	0.0771176i
$120$	0.282135	−	0.566552i	0.0257553	−	0.0517189i
$121$			0.344759i			0.0313418i
$122$	−9.30401	+	2.49300i	−0.842346	+	0.225706i
$123$	19.4663	−	6.52368i	1.75522	−	0.588220i
$124$	−3.66079	−	3.66079i	−0.328749	−	0.328749i
$125$	−0.838061	+	0.838061i	−0.0749584	+	0.0749584i
$126$	5.72577	+	7.26467i	0.510093	+	0.647188i
$127$	18.0978	−	10.4488i	1.60592	−	0.927180i	0.615654	−	0.788017i	$-0.288892\pi$
$127$	18.0978	−	10.4488i	1.60592	−	0.927180i	0.990269	−	0.139164i	$-0.0444415\pi$
$128$	0.813054	+	3.03436i	0.0718645	+	0.268202i
$129$	0.0887383	+	1.43958i	0.00781297	+	0.126748i
$130$	0.293763	−	0.402995i	0.0257647	−	0.0353450i
$131$	1.05177	−	0.607237i	0.0918932	−	0.0530546i	−0.453349	−	0.891333i	$-0.649771\pi$
$131$	1.05177	−	0.607237i	0.0918932	−	0.0530546i	0.545242	+	0.838278i	$0.316438\pi$
$132$	3.44113	−	1.15321i	0.299512	−	0.100374i
$133$	0.256149	+	12.3381i	0.0222109	+	1.06985i
$134$	0.532866	−	0.922952i	0.0460326	−	0.0797309i
$135$	−0.0475066	+	0.614882i	−0.00408872	+	0.0529207i
$136$	3.96119	+	1.06140i	0.339669	+	0.0910141i
$137$	−3.41113	−	0.914009i	−0.291432	−	0.0780891i	0.110141	−	0.993916i	$-0.464870\pi$
$137$	−3.41113	−	0.914009i	−0.291432	−	0.0780891i	−0.401573	+	0.915827i	$0.631536\pi$
$138$	7.40274	−	2.48085i	0.630163	−	0.211184i
$139$	1.48718	−	2.57588i	0.126141	−	0.218483i	−0.796037	−	0.605248i	$-0.793074\pi$
$139$	1.48718	−	2.57588i	0.126141	−	0.218483i	0.922178	+	0.386765i	$0.126407\pi$
$140$	0.176618	+	0.0971394i	0.0149269	+	0.00820978i
$141$	3.93421	+	11.7395i	0.331320	+	0.988643i
$142$	−16.6176	+	9.59419i	−1.39452	+	0.805127i
$143$	11.6274	−	1.82284i	0.972328	−	0.152434i
$144$	−4.16527	−	5.51654i	−0.347106	−	0.459712i
$145$	0.169407	+	0.632234i	0.0140684	+	0.0525042i
$146$	13.1803	−	7.60967i	1.09081	−	0.629781i
$147$	−9.82049	+	7.11042i	−0.809980	+	0.586457i
$148$	−0.899229	+	0.899229i	−0.0739162	+	0.0739162i
$149$	15.8436	+	15.8436i	1.29796	+	1.29796i	0.929741	+	0.368215i	$0.120031\pi$
$149$	15.8436	+	15.8436i	1.29796	+	1.29796i	0.368215	+	0.929741i	$0.379969\pi$
$150$	3.19791	+	9.54239i	0.261108	+	0.779133i
$151$	4.65718	−	1.24789i	0.378996	−	0.101552i	−0.0642916	−	0.997931i	$-0.520479\pi$
$151$	4.65718	−	1.24789i	0.378996	−	0.101552i	0.443287	+	0.896380i	$0.353812\pi$
$152$		−	14.3606i		−	1.16480i
$153$	−3.96571	+	0.490770i	−0.320608	+	0.0396764i
$154$	−2.80613	−	9.66547i	−0.226124	−	0.778866i
$155$	−0.957240			−0.0768874
$156$	1.84711	+	3.55779i	0.147888	+	0.284851i
$157$	7.42189	−	12.8551i	0.592332	−	1.02595i	−0.401586	−	0.915821i	$-0.631541\pi$
$157$	7.42189	−	12.8551i	0.592332	−	1.02595i	0.993918	−	0.110127i	$-0.0351258\pi$
$158$	−2.51858	−	2.51858i	−0.200367	−	0.200367i
$159$	0.698731	+	11.3354i	0.0554130	+	0.898954i
$160$	−0.356916	−	0.206066i	−0.0282167	−	0.0162909i
$161$	2.85326	+	9.82780i	0.224868	+	0.774539i
$162$	9.00057	+	5.38473i	0.707152	+	0.423064i
$163$	−7.17475	−	7.17475i	−0.561970	−	0.561970i	0.367897	−	0.929867i	$-0.380078\pi$
$163$	−7.17475	−	7.17475i	−0.561970	−	0.561970i	−0.929867	+	0.367897i	$0.880078\pi$
$164$	−1.96927	−	7.34940i	−0.153774	−	0.573892i
$165$	0.299127	−	0.600675i	0.0232870	−	0.0467625i
$166$	4.05139	+	2.33907i	0.314449	+	0.181547i
$167$	−14.4465	−	3.87092i	−1.11790	−	0.299540i	−0.347867	−	0.937544i	$-0.613094\pi$
$167$	−14.4465	−	3.87092i	−1.11790	−	0.299540i	−0.770033	+	0.638004i	$0.779760\pi$
$168$	11.5972	−	8.03526i	0.894742	−	0.619934i
$169$	3.97829	+	12.3763i	0.306023	+	0.952024i
$170$	0.159550	−	0.0921164i	0.0122369	−	0.00706501i
$171$	5.25427	+	12.9691i	0.401804	+	0.991774i
$172$	0.534529			0.0407575
$173$	−3.74658			−0.284847			−0.142424	−	0.989806i	$-0.545490\pi$
$173$	−3.74658			−0.284847			−0.142424	+	0.989806i	$0.545490\pi$
$174$	10.9092	+	2.21407i	0.827022	+	0.167849i
$175$	−12.6684	+	3.67795i	−0.957640	+	0.278027i
$176$	1.94665	+	7.26499i	0.146734	+	0.547619i
$177$	−2.54965	−	7.60804i	−0.191644	−	0.571855i
$178$	3.65337	+	6.32783i	0.273832	+	0.474291i
$179$	−12.9383			−0.967054			−0.483527	−	0.875329i	$-0.660645\pi$
$179$	−12.9383			−0.967054			−0.483527	+	0.875329i	$0.660645\pi$
$180$	0.226364	+	0.0315930i	0.0168721	+	0.00235480i
$181$		−	22.6836i		−	1.68606i	−0.537865	−	0.843031i	$-0.680769\pi$
$181$		−	22.6836i		−	1.68606i	0.537865	−	0.843031i	$-0.319231\pi$
$182$	10.0672	−	4.71566i	0.746233	−	0.349548i
$183$	−7.90724	−	11.9342i	−0.584520	−	0.882198i
$184$	−3.08218	−	11.5029i	−0.227222	−	0.848002i
$185$			0.235134i			0.0172874i
$186$	−7.25697	+	14.5726i	−0.532107	+	1.06852i
$187$	4.19976	+	1.12532i	0.307117	+	0.0822918i
$188$	4.43217	−	1.18760i	0.323249	−	0.0866144i
$189$	−7.53350	+	11.4998i	−0.547981	+	0.836491i
$190$	−0.456188	−	0.456188i	−0.0330954	−	0.0330954i
$191$		−	18.7617i		−	1.35755i	−0.734346	−	0.678775i	$-0.762511\pi$
$191$		−	18.7617i		−	1.35755i	0.734346	−	0.678775i	$-0.237489\pi$
$192$	−12.4967	+	8.27996i	−0.901871	+	0.597554i
$193$	−3.63429	−	3.63429i	−0.261602	−	0.261602i	0.564103	−	0.825705i	$-0.309222\pi$
$193$	−3.63429	−	3.63429i	−0.261602	−	0.261602i	−0.825705	+	0.564103i	$0.809222\pi$
$194$	−7.74446	−	13.4138i	−0.556020	−	0.963055i
$195$	0.706649	+	0.223658i	0.0506042	+	0.0160165i
$196$	2.40624	+	3.79475i	0.171874	+	0.271054i
$197$	−2.31985	+	8.65781i	−0.165283	+	0.616843i	0.832721	+	0.553692i	$0.186782\pi$
$197$	−2.31985	+	8.65781i	−0.165283	+	0.616843i	−0.998004	+	0.0631511i	$0.979885\pi$
$198$	−6.87670	−	9.10759i	−0.488706	−	0.647249i
$199$	−1.81522	+	1.04802i	−0.128678	+	0.0742921i	−0.562957	−	0.826486i	$-0.690336\pi$
$199$	−1.81522	+	1.04802i	−0.128678	+	0.0742921i	0.434279	+	0.900778i	$0.357003\pi$
$200$	14.8276	−	3.97304i	1.04847	−	0.280937i
$201$	1.55231	+	0.315050i	0.109492	+	0.0222219i
$202$	−2.06195	+	0.552497i	−0.145078	+	0.0388736i
$203$	−3.48304	+	14.1690i	−0.244462	+	0.994470i
$204$	0.0911135	+	1.47812i	0.00637922	+	0.103489i
$205$	−1.21834	−	0.703411i	−0.0850928	−	0.0491284i
$206$	−0.647680	+	0.647680i	−0.0451260	+	0.0451260i
$207$	6.99220	+	9.26056i	0.485991	+	0.643653i
$208$	−7.59477	+	3.36710i	−0.526603	+	0.233467i
$209$		−	15.2256i		−	1.05317i
$210$	0.113150	−	0.623655i	0.00780807	−	0.0430363i
$211$	−7.40570	−	12.8270i	−0.509829	−	0.883050i	−0.999935	−	0.0113874i	$-0.996375\pi$
$211$	−7.40570	−	12.8270i	−0.509829	−	0.883050i	0.490106	−	0.871663i	$-0.336958\pi$
$212$	4.20892			0.289070
$213$	−21.3685	−	18.8871i	−1.46414	−	1.29412i
$214$	3.73516	+	1.00083i	0.255331	+	0.0684156i
$215$	0.0698856	−	0.0698856i	0.00476616	−	0.00476616i
$216$	9.04245	−	13.1973i	0.615261	−	0.897961i
$217$	−18.6973	−	10.2835i	−1.26926	−	0.698087i
$218$	−3.72388	−	6.44995i	−0.252213	−	0.436846i
$219$	16.9485	+	14.9804i	1.14527	+	1.01228i
$220$	−0.215371	−	0.124344i	−0.0145203	−	0.00838329i
$221$	−0.509517	+	4.77544i	−0.0342738	+	0.321231i
$222$	3.57959	+	1.78259i	0.240247	+	0.119639i
$223$	−9.06259	−	2.42831i	−0.606876	−	0.162612i	−0.0577216	−	0.998333i	$-0.518384\pi$
$223$	−9.06259	−	2.42831i	−0.606876	−	0.162612i	−0.549155	+	0.835721i	$0.685050\pi$
$224$	−4.75774	−	7.85927i	−0.317890	−	0.525119i
$225$	−11.9372	+	9.01319i	−0.795812	+	0.600879i
$226$	−5.83107	−	1.56243i	−0.387877	−	0.103931i
$227$	3.43120	−	12.8054i	0.227736	−	0.849924i	−0.753553	−	0.657387i	$-0.771662\pi$
$227$	3.43120	−	12.8054i	0.227736	−	0.849924i	0.981290	−	0.192537i	$-0.0616716\pi$
$228$	4.91712	−	1.64786i	0.325644	−	0.109132i
$229$	−6.56048	+	24.4840i	−0.433529	+	1.61795i	0.311034	+	0.950399i	$0.399325\pi$
$229$	−6.56048	+	24.4840i	−0.433529	+	1.61795i	−0.744563	+	0.667552i	$0.767342\pi$
$230$	−0.463317	−	0.267496i	−0.0305502	−	0.0176382i
$231$	12.2957	−	8.51921i	0.808995	−	0.560523i
$232$	4.39450	−	16.4005i	0.288513	−	1.07675i
$233$	−9.84858	−	17.0582i	−0.645202	−	1.11752i	−0.984255	−	0.176755i	$-0.943440\pi$
$233$	−9.84858	−	17.0582i	−0.645202	−	1.11752i	0.339053	−	0.940767i	$-0.389893\pi$
$234$	8.76208	−	9.06217i	0.572795	−	0.592412i
$235$	0.424203	−	0.734741i	0.0276720	−	0.0479292i
$236$	−2.87237	+	0.769649i	−0.186975	+	0.0500999i
$237$	2.35981	−	4.73871i	0.153286	−	0.307812i
$238$	4.10601	−	0.0852443i	0.266153	−	0.00552557i
$239$	−8.29550	−	8.29550i	−0.536591	−	0.536591i	0.385935	−	0.922526i	$-0.373879\pi$
$239$	−8.29550	−	8.29550i	−0.536591	−	0.536591i	−0.922526	+	0.385935i	$0.873879\pi$
$240$	−0.0942124	+	0.464203i	−0.00608138	+	0.0299641i
$241$	0.486976	−	1.81742i	0.0313689	−	0.117070i	−0.948466	−	0.316879i	$-0.897365\pi$
$241$	0.486976	−	1.81742i	0.0313689	−	0.117070i	0.979835	+	0.199808i	$0.0640319\pi$
$242$	−0.103987	−	0.388083i	−0.00668451	−	0.0249469i
$243$	−3.33763	+	15.2270i	−0.214109	+	0.976810i
$244$	−4.59477	+	2.65279i	−0.294150	+	0.169828i
$245$	0.810732	+	0.181537i	0.0517958	+	0.0115980i
$246$	−19.9449	+	13.2149i	−1.27164	+	0.842552i
$247$	16.6146	−	2.60471i	1.05716	−	0.165734i
$248$	21.5046	+	12.4157i	1.36554	+	0.788397i
$249$	−1.38294	+	6.81403i	−0.0876405	+	0.431821i
$250$	0.690598	−	1.19615i	0.0436772	−	0.0756512i
$251$	−11.4167	+	19.7743i	−0.720616	+	1.24814i	0.240137	+	0.970739i	$0.422808\pi$
$251$	−11.4167	+	19.7743i	−0.720616	+	1.24814i	−0.960753	+	0.277405i	$0.910526\pi$
$252$	4.08205	+	3.04887i	0.257145	+	0.192061i
$253$	−3.26782	−	12.1957i	−0.205446	−	0.766735i
$254$	−17.2205	+	17.2205i	−1.08051	+	1.08051i
$255$	0.205164	+	0.181340i	0.0128479	+	0.0113559i
$256$	6.82451	+	11.8204i	0.426532	+	0.738774i
$257$	−10.2026	+	17.6713i	−0.636418	+	1.10231i	0.349795	+	0.936826i	$0.386251\pi$
$257$	−10.2026	+	17.6713i	−0.636418	+	1.10231i	−0.986213	+	0.165482i	$0.947082\pi$
$258$	−0.534098	−	1.59372i	−0.0332515	−	0.0992208i
$259$	−2.52601	+	4.59277i	−0.156958	+	0.285381i
$260$	0.0988442	−	0.256292i	0.00613006	−	0.0158945i
$261$	2.03193	+	16.4192i	0.125774	+	1.01632i
$262$	−1.00078	+	1.00078i	−0.0618283	+	0.0618283i
$263$			22.6881i			1.39901i	0.714627	+	0.699505i	$0.246596\pi$
$263$			22.6881i			1.39901i	−0.714627	+	0.699505i	$0.753404\pi$
$264$	−14.5109	+	9.61451i	−0.893083	+	0.591732i
$265$	0.550283	−	0.550283i	0.0338036	−	0.0338036i
$266$	−4.00975	−	13.8112i	−0.245854	−	0.846822i
$267$	−7.19201	+	8.13691i	−0.440144	+	0.497971i
$268$	0.151933	−	0.567021i	0.00928077	−	0.0346363i
$269$	−10.1236	+	5.84487i	−0.617247	+	0.356368i	−0.775796	−	0.630983i	$-0.782652\pi$
$269$	−10.1236	+	5.84487i	−0.617247	+	0.356368i	0.158549	+	0.987351i	$0.449318\pi$
$270$	−0.131985	−	0.706480i	−0.00803234	−	0.0429950i
$271$	6.79370	−	1.82037i	0.412688	−	0.110579i	−0.0465006	−	0.998918i	$-0.514807\pi$
$271$	6.79370	−	1.82037i	0.412688	−	0.110579i	0.459188	+	0.888339i	$0.348140\pi$
$272$	−3.06909			−0.186091
$273$	11.3999	+	11.9600i	0.689955	+	0.723852i
$274$	4.11547			0.248624
$275$	15.7206	−	4.21233i	0.947990	−	0.254013i
$276$	3.58494	−	2.37528i	0.215788	−	0.142975i
$277$	14.6015	−	8.43017i	0.877318	−	0.506520i	0.00754477	−	0.999972i	$-0.497598\pi$
$277$	14.6015	−	8.43017i	0.877318	−	0.506520i	0.869773	+	0.493452i	$0.164265\pi$
$278$	−0.897130	+	3.34814i	−0.0538063	+	0.200808i
$279$	−23.9635	−	3.34453i	−1.43466	−	0.200232i
$280$	−0.938844	−	0.230787i	−0.0561066	−	0.0137922i
$281$	−9.67405	+	9.67405i	−0.577106	+	0.577106i	−0.934105	−	0.356999i	$-0.883800\pi$
$281$	−9.67405	+	9.67405i	−0.577106	+	0.577106i	0.356999	+	0.934105i	$0.383800\pi$
$282$	−7.96946	−	12.0281i	−0.474575	−	0.716261i
$283$			15.6454i			0.930024i	0.885304	+	0.465012i	$0.153950\pi$
$283$			15.6454i			0.930024i	−0.885304	+	0.465012i	$0.846050\pi$
$284$	−7.47361	+	7.47361i	−0.443477	+	0.443477i
$285$	0.427431	−	0.858320i	0.0253188	−	0.0508425i
$286$	−12.5387	+	5.55896i	−0.741428	+	0.328708i
$287$	−16.2407	−	26.8278i	−0.958658	−	1.58360i
$288$	−8.21504	−	6.40568i	−0.484076	−	0.377458i
$289$	7.61291	−	13.1859i	0.447818	−	0.775644i
$290$	−0.381390	−	0.660586i	−0.0223960	−	0.0387909i
$291$	15.2457	−	17.2487i	0.893719	−	1.01114i
$292$	5.92772	−	5.92772i	0.346894	−	0.346894i
$293$	0.789630	+	2.94694i	0.0461307	+	0.172162i	0.985148	−	0.171708i	$-0.0549286\pi$
$293$	0.789630	+	2.94694i	0.0461307	+	0.172162i	−0.939017	+	0.343870i	$0.888262\pi$
$294$	8.90991	−	10.9660i	0.519637	−	0.639550i
$295$	−0.274914	+	0.476166i	−0.0160061	+	0.0277234i
$296$	3.04976	−	5.28234i	0.177264	−	0.307030i
$297$	9.58706	−	13.9921i	0.556298	−	0.811906i
$298$	−22.6133	−	13.0558i	−1.30995	−	0.756301i
$299$	12.7493	−	5.65232i	0.737309	−	0.326882i
$300$	3.06182	+	4.62111i	0.176774	+	0.266800i
$301$	2.11581	−	0.614272i	0.121953	−	0.0354061i
$302$	−4.86603	+	2.80940i	−0.280008	+	0.161663i
$303$	−1.75240	−	2.64484i	−0.100673	−	0.151942i
$304$	2.78162	+	10.3811i	0.159537	+	0.595399i
$305$	−0.253899	+	0.947563i	−0.0145382	+	0.0542573i
$306$	4.31602	−	1.74858i	0.246731	−	0.0999597i
$307$	−3.89152	−	3.89152i	−0.222101	−	0.222101i	0.587282	−	0.809383i	$-0.300198\pi$
$307$	−3.89152	−	3.89152i	−0.222101	−	0.222101i	−0.809383	+	0.587282i	$0.800198\pi$
$308$	−2.87092	−	4.74245i	−0.163586	−	0.270226i
$309$	−1.21861	−	0.606852i	−0.0693244	−	0.0345226i
$310$	1.07753	−	0.288723i	0.0611996	−	0.0163984i
$311$	−4.57389	+	7.92221i	−0.259361	+	0.449227i	−0.966071	−	0.258277i	$-0.916845\pi$
$311$	−4.57389	+	7.92221i	−0.259361	+	0.449227i	0.706710	+	0.707504i	$0.250179\pi$
$312$	−12.9741	−	14.1900i	−0.734515	−	0.803348i
$313$	−1.50770	−	2.61141i	−0.0852202	−	0.147606i	0.820265	−	0.571984i	$-0.193826\pi$
$313$	−1.50770	−	2.61141i	−0.0852202	−	0.147606i	−0.905485	+	0.424378i	$0.860493\pi$
$314$	−4.47719	+	16.7091i	−0.252663	+	0.942950i
$315$	0.932313	−	0.135080i	0.0525299	−	0.00761088i
$316$	−1.69906	−	0.980950i	−0.0955793	−	0.0551827i
$317$	−4.72873	+	17.6479i	−0.265592	+	0.991203i	0.696295	+	0.717756i	$0.254831\pi$
$317$	−4.72873	+	17.6479i	−0.265592	+	0.991203i	−0.961887	+	0.273447i	$0.911836\pi$
$318$	−4.20552	−	12.5491i	−0.235834	−	0.703717i
$319$	4.65918	−	17.3883i	0.260864	−	0.973557i
$320$	0.992227	+	0.265867i	0.0554672	+	0.0148624i
$321$	0.353600	+	5.73638i	0.0197360	+	0.320174i
$322$	−6.17608	−	10.2022i	−0.344179	−	0.568546i
$323$	6.00115	+	1.60800i	0.333913	+	0.0894718i
$324$	5.55639	+	1.58180i	0.308688	+	0.0878776i
$325$	7.28604	+	16.4343i	0.404157	+	0.911609i
$326$	10.2404	+	5.91230i	0.567164	+	0.327452i
$327$	7.33081	−	8.29394i	0.405395	−	0.458656i
$328$	18.2469	+	31.6045i	1.00752	+	1.74507i
$329$	16.1789	−	9.79420i	0.891974	−	0.539972i
$330$	−0.155541	+	0.766381i	−0.00856225	+	0.0421879i
$331$	−12.5218	+	12.5218i	−0.688261	+	0.688261i	−0.961847	−	0.273586i	$-0.911790\pi$
$331$	−12.5218	+	12.5218i	−0.688261	+	0.688261i	0.273586	+	0.961847i	$0.411790\pi$
$332$	2.48899	+	0.666924i	0.136601	+	0.0366022i
$333$	−0.821543	+	5.88635i	−0.0450203	+	0.322570i
$334$	17.4294			0.953694
$335$	−0.0542695	−	0.0939976i	−0.00296506	−	0.00513564i
$336$	−6.82705	+	8.05493i	−0.372446	+	0.439433i
$337$		−	16.0763i		−	0.875731i	−0.899040	−	0.437866i	$-0.855735\pi$
$337$		−	16.0763i		−	0.875731i	0.899040	−	0.437866i	$-0.144265\pi$
$338$	−8.21117	−	12.7316i	−0.446629	−	0.692509i
$339$	−0.552015	−	8.95523i	−0.0299814	−	0.486381i
$340$	0.0717561	−	0.0717561i	0.00389152	−	0.00389152i
$341$	22.7998	+	13.1635i	1.23468	+	0.712841i
$342$	−9.82630	−	13.0141i	−0.531346	−	0.703721i
$343$	13.8854	+	12.2554i	0.749742	+	0.661730i
$344$	−2.47643	+	0.663557i	−0.133520	+	0.0357766i
$345$	0.158153	−	0.779252i	0.00851469	−	0.0419535i
$346$	4.21739	−	1.13005i	0.226728	−	0.0607517i
$347$	10.8180	−	6.24575i	0.580739	−	0.335290i	−0.180688	−	0.983540i	$-0.557833\pi$
$347$	10.8180	−	6.24575i	0.580739	−	0.335290i	0.761427	+	0.648251i	$0.224499\pi$
$348$	6.11984	−	0.377237i	0.328058	−	0.0202220i
$349$	−0.735686	+	2.74562i	−0.0393804	+	0.146970i	−0.982817	−	0.184584i	$-0.940906\pi$
$349$	−0.735686	+	2.74562i	−0.0393804	+	0.146970i	0.943436	+	0.331554i	$0.107573\pi$
$350$	13.1510	−	7.96118i	0.702950	−	0.425543i
$351$	16.9088	+	8.06802i	0.902524	+	0.430639i
$352$	5.66741	+	9.81624i	0.302074	+	0.523207i
$353$	−22.5514	−	22.5514i	−1.20029	−	1.20029i	−0.974079	−	0.226209i	$-0.927367\pi$
$353$	−22.5514	−	22.5514i	−1.20029	−	1.20029i	−0.226209	−	0.974079i	$-0.572633\pi$
$354$	5.16479	+	7.79506i	0.274506	+	0.414303i
$355$			1.95423i			0.103720i
$356$	2.84588	+	2.84588i	0.150831	+	0.150831i
$357$	2.05928	+	5.74607i	0.108989	+	0.304114i
$358$	14.5642	−	3.90246i	0.769741	−	0.206251i
$359$	−3.21221	−	0.860709i	−0.169534	−	0.0454265i	0.173054	−	0.984912i	$-0.444637\pi$
$359$	−3.21221	−	0.860709i	−0.169534	−	0.0454265i	−0.342587	+	0.939486i	$0.611303\pi$
$360$	−1.08794	+	0.134637i	−0.0573396	+	0.00709598i
$361$		−	2.75619i		−	0.145063i
$362$	6.84185	+	25.5342i	0.359600	+	1.34205i
$363$	0.497790	−	0.329822i	0.0261272	−	0.0173111i
$364$	4.68397	−	3.94416i	0.245507	−	0.206730i
$365$		−	1.55001i		−	0.0811311i
$366$	12.5005	+	11.0489i	0.653410	+	0.577533i
$367$	28.2698			1.47567			0.737835	−	0.674981i	$-0.235848\pi$
$367$	28.2698			1.47567			0.737835	+	0.674981i	$0.235848\pi$
$368$	4.45615	+	7.71827i	0.232293	+	0.402343i
$369$	−28.0423	−	21.8660i	−1.45982	−	1.13830i
$370$	−0.0709214	−	0.264682i	−0.00368703	−	0.0137602i
$371$	16.6600	−	4.83682i	0.864945	−	0.251115i
$372$	−1.78355	+	8.78791i	−0.0924729	+	0.455632i
$373$	−14.2933			−0.740078			−0.370039	−	0.929016i	$-0.620656\pi$
$373$	−14.2933			−0.740078			−0.370039	+	0.929016i	$0.620656\pi$
$374$	−5.06694			−0.262005
$375$	2.01180	+	0.408307i	0.103889	+	0.0210849i
$376$	−19.0596	+	11.0041i	−0.982924	+	0.567492i
$377$	19.7717	+	2.10955i	1.01830	+	0.108647i
$378$	5.01159	−	15.2172i	0.257769	−	0.782689i
$379$	−27.4472	−	7.35447i	−1.40987	−	0.377774i	−0.527991	−	0.849250i	$-0.677055\pi$
$379$	−27.4472	−	7.35447i	−1.40987	−	0.377774i	−0.881879	+	0.471476i	$0.843721\pi$
$380$	−0.307749	−	0.177679i	−0.0157872	−	0.00911473i
$381$	−32.4005	−	16.1350i	−1.65993	−	0.826620i
$382$	5.65892	+	21.1194i	0.289535	+	1.08056i
$383$	11.9584	+	11.9584i	0.611047	+	0.611047i	0.943219	−	0.332172i	$-0.107782\pi$
$383$	11.9584	+	11.9584i	0.611047	+	0.611047i	−0.332172	+	0.943219i	$0.607782\pi$
$384$	3.60341	−	4.07683i	0.183886	−	0.208045i
$385$	−0.995389	−	0.244687i	−0.0507297	−	0.0124704i
$386$	5.18717	+	2.99481i	0.264020	+	0.152432i
$387$	1.99369	−	1.50534i	0.101345	−	0.0765206i
$388$	−6.03272	−	6.03272i	−0.306265	−	0.306265i
$389$	15.1955	−	26.3194i	0.770443	−	1.33445i	−0.166877	−	0.985978i	$-0.553368\pi$
$389$	15.1955	−	26.3194i	0.770443	−	1.33445i	0.937320	−	0.348469i	$-0.113298\pi$
$390$	−0.862909	−	0.0386232i	−0.0436951	−	0.00195576i
$391$	5.15204			0.260550
$392$	−15.8587	−	14.5937i	−0.800984	−	0.737093i
$393$	−1.88297	−	0.937692i	−0.0949833	−	0.0473003i
$394$		−	10.4455i		−	0.526237i
$395$	−0.350390	+	0.0938867i	−0.0176300	+	0.00472395i
$396$	−4.95713	−	3.86532i	−0.249105	−	0.194240i
$397$	3.25530	+	3.25530i	0.163379	+	0.163379i	0.784062	−	0.620683i	$-0.213145\pi$
$397$	3.25530	+	3.25530i	0.163379	+	0.163379i	−0.620683	+	0.784062i	$0.713145\pi$
$398$	1.72722	−	1.72722i	0.0865779	−	0.0865779i
$399$	17.5696	−	12.1733i	0.879579	−	0.609429i
$400$	−9.94912	+	5.74413i	−0.497456	+	0.287206i
$401$	−6.27196	−	23.4073i	−0.313207	−	1.16890i	−0.925648	−	0.378387i	$-0.876479\pi$
$401$	−6.27196	−	23.4073i	−0.313207	−	1.16890i	0.612441	−	0.790516i	$-0.290188\pi$
$402$	−1.84241	+	0.113569i	−0.0918909	+	0.00566430i
$403$	−10.4639	+	27.1318i	−0.521246	+	1.35153i
$404$	−1.01829	+	0.587910i	−0.0506618	+	0.0292496i
$405$	0.933262	−	0.519647i	0.0463742	−	0.0258215i
$406$	−0.352937	−	17.0001i	−0.0175160	−	0.843701i
$407$	3.23344	−	5.60049i	0.160276	−	0.277606i
$408$	−2.25703	−	6.73488i	−0.111740	−	0.333426i
$409$	−6.37017	−	1.70688i	−0.314985	−	0.0843998i	0.0978633	−	0.995200i	$-0.468799\pi$
$409$	−6.37017	−	1.70688i	−0.314985	−	0.0843998i	−0.412848	+	0.910800i	$0.635466\pi$
$410$	1.58361	+	0.424327i	0.0782088	+	0.0209560i
$411$	1.94362	+	5.79965i	0.0958715	+	0.286076i
$412$	−0.252262	+	0.436931i	−0.0124281	+	0.0215260i
$413$	−10.4851	+	6.34736i	−0.515940	+	0.312333i
$414$	−10.6640	−	8.31528i	−0.524109	−	0.408674i
$415$	0.412612	−	0.238222i	0.0202543	−	0.0116938i
$416$	−9.74226	+	7.86378i	−0.477654	+	0.385553i
$417$	−5.14199	+	0.316961i	−0.251804	+	0.0155216i
$418$	4.59234	+	17.1389i	0.224619	+	0.838289i
$419$	−1.07619	+	0.621336i	−0.0525751	+	0.0303543i	−0.526057	−	0.850449i	$-0.676330\pi$
$419$	−1.07619	+	0.621336i	−0.0525751	+	0.0303543i	0.473482	+	0.880803i	$0.342997\pi$
$420$	−0.0287083	−	0.347945i	−0.00140082	−	0.0169780i
$421$	−6.97530	+	6.97530i	−0.339955	+	0.339955i	−0.856350	−	0.516395i	$-0.827274\pi$
$421$	−6.97530	+	6.97530i	−0.339955	+	0.339955i	0.516395	+	0.856350i	$0.327274\pi$
$422$	12.2052	+	12.2052i	0.594141	+	0.594141i
$423$	13.1866	−	16.9113i	0.641155	−	0.822258i
$424$	−19.4996	+	5.22489i	−0.946982	+	0.253743i
$425$			6.64117i			0.322144i
$426$	29.7505	+	14.8153i	1.44141	+	0.717804i
$427$	−15.1388	+	15.7807i	−0.732617	+	0.763681i
$428$	2.12997			0.102956
$429$	−13.7555	−	15.0446i	−0.664123	−	0.726360i
$430$	−0.0575887	+	0.0997465i	−0.00277717	+	0.00481021i
$431$	2.92362	+	2.92362i	0.140826	+	0.140826i	0.774005	−	0.633179i	$-0.218250\pi$
$431$	2.92362	+	2.92362i	0.140826	+	0.140826i	−0.633179	+	0.774005i	$0.718250\pi$
$432$	−3.98040	+	11.2917i	−0.191507	+	0.543270i
$433$	10.6193	+	6.13106i	0.510331	+	0.294640i	0.732970	−	0.680261i	$-0.238134\pi$
$433$	10.6193	+	6.13106i	0.510331	+	0.294640i	−0.222639	+	0.974901i	$0.571467\pi$
$434$	24.1486	+	5.93622i	1.15917	+	0.284948i
$435$	0.750801	−	0.849442i	0.0359981	−	0.0407276i
$436$	−2.90080	−	2.90080i	−0.138923	−	0.138923i
$437$	−4.66947	−	17.4267i	−0.223371	−	0.833632i
$438$	−23.5967	−	11.7508i	−1.12749	−	0.561476i
$439$	4.83364	+	2.79070i	0.230697	+	0.133193i	0.610894	−	0.791713i	$-0.290810\pi$
$439$	4.83364	+	2.79070i	0.230697	+	0.133193i	−0.380197	+	0.924906i	$0.624144\pi$
$440$	1.15215	+	0.308719i	0.0549268	+	0.0147176i
$441$	19.6615	+	7.37723i	0.936264	+	0.351296i
$442$	−0.866826	−	5.52922i	−0.0412307	−	0.262998i
$443$	−32.1849	+	18.5820i	−1.52915	+	0.882857i	−0.529755	+	0.848151i	$0.677716\pi$
$443$	−32.1849	+	18.5820i	−1.52915	+	0.882857i	−0.999398	+	0.0347058i	$0.988951\pi$
$444$	2.15864	+	0.438108i	0.102445	+	0.0207917i
$445$	0.744153			0.0352762
$446$	10.9339			0.517733
$447$	7.71905	−	38.0332i	0.365099	−	1.79891i
$448$	16.5245	+	15.8524i	0.780711	+	0.748954i
$449$	−7.14560	−	26.6677i	−0.337222	−	1.25853i	−0.901441	−	0.432903i	$-0.857489\pi$
$449$	−7.14560	−	26.6677i	−0.337222	−	1.25853i	0.564219	−	0.825625i	$-0.309177\pi$
$450$	10.7187	−	13.7463i	0.505284	−	0.648008i
$451$	19.3459	+	33.5080i	0.910961	+	1.57783i
$452$	−3.32515			−0.156402
$453$	−6.25719	−	5.53057i	−0.293988	−	0.259849i
$454$			15.4495i			0.725080i
$455$	0.0967251	−	1.12806i	0.00453454	−	0.0528843i
$456$	−20.7350	+	13.7384i	−0.971005	+	0.643361i
$457$	8.46326	+	31.5853i	0.395895	+	1.47750i	0.820251	+	0.572004i	$0.193834\pi$
$457$	8.46326	+	31.5853i	0.395895	+	1.47750i	−0.424357	+	0.905495i	$0.639500\pi$
$458$		−	29.5396i		−	1.38029i
$459$	4.50249	+	5.25648i	0.210158	+	0.245352i
$460$	−0.284641	−	0.0762694i	−0.0132715	−	0.00355608i
$461$	−2.63969	+	0.707304i	−0.122943	+	0.0329424i	−0.319766	−	0.947497i	$-0.603604\pi$
$461$	−2.63969	+	0.707304i	−0.122943	+	0.0329424i	0.196823	+	0.980439i	$0.436938\pi$
$462$	−11.2712	+	13.2984i	−0.524384	+	0.618697i
$463$	14.5583	+	14.5583i	0.676583	+	0.676583i	0.959225	−	0.282643i	$-0.0912110\pi$
$463$	14.5583	+	14.5583i	0.676583	+	0.676583i	−0.282643	+	0.959225i	$0.591211\pi$
$464$			12.7069i			0.589905i
$465$	0.915765	+	1.38214i	0.0424676	+	0.0640950i
$466$	16.2313	+	16.2313i	0.751901	+	0.751901i
$467$	10.2393	+	17.7351i	0.473820	+	0.820681i	0.999551	−	0.0299703i	$-0.00954126\pi$
$467$	10.2393	+	17.7351i	0.473820	+	0.820681i	−0.525730	+	0.850651i	$0.676208\pi$
$468$	3.36993	−	6.07064i	0.155775	−	0.280616i
$469$	−0.0502209	−	2.41902i	−0.00231898	−	0.111700i
$470$	−0.255897	+	0.955020i	−0.0118036	+	0.0440518i
$471$	−25.6615	+	1.58182i	−1.18242	+	0.0728863i
$472$	12.3520	−	7.13144i	0.568548	−	0.328251i
$473$	−2.62558	+	0.703522i	−0.120724	+	0.0323480i
$474$	−1.22706	+	6.04596i	−0.0563607	+	0.277700i
$475$	22.4636	−	6.01911i	1.03070	−	0.276176i
$476$	2.17244	−	0.630714i	0.0995736	−	0.0289087i
$477$	15.6984	−	11.8531i	0.718781	−	0.542717i
$478$	11.8400	+	6.83585i	0.541551	+	0.312664i
$479$	4.78966	−	4.78966i	0.218845	−	0.218845i	−0.589166	−	0.808012i	$-0.700544\pi$
$479$	4.78966	−	4.78966i	0.218845	−	0.218845i	0.808012	+	0.589166i	$0.200544\pi$
$480$	0.0439184	+	0.712480i	0.00200459	+	0.0325201i
$481$	6.66460	+	2.57034i	0.303880	+	0.117197i
$482$			2.19269i			0.0998741i
$483$	11.4605	−	13.5217i	0.521471	−	0.615260i
$484$	−0.110652	−	0.191654i	−0.00502962	−	0.00871155i
$485$	−1.57746			−0.0716289
$486$	−0.835710	−	18.1471i	−0.0379086	−	0.823171i
$487$	−18.3864	−	4.92662i	−0.833167	−	0.223246i	−0.183072	−	0.983100i	$-0.558604\pi$
$487$	−18.3864	−	4.92662i	−0.833167	−	0.223246i	−0.650095	+	0.759853i	$0.725271\pi$
$488$	17.9940	−	17.9940i	0.814552	−	0.814552i
$489$	−3.49557	+	17.2233i	−0.158075	+	0.778866i
$490$	−0.967367	+	0.0401841i	−0.0437012	+	0.00181533i
$491$	14.4273	+	24.9889i	0.651096	+	1.12773i	0.982857	+	0.184368i	$0.0590239\pi$
$491$	14.4273	+	24.9889i	0.651096	+	1.12773i	−0.331761	+	0.943363i	$0.607643\pi$
$492$	−8.72769	+	9.87435i	−0.393474	+	0.445170i
$493$	6.36153	+	3.67283i	0.286509	+	0.165416i
$494$	−17.9169	+	7.94334i	−0.806117	+	0.357388i
$495$	−1.15347	+	0.142746i	−0.0518445	+	0.00641594i
$496$	−17.9503	−	4.80977i	−0.805992	−	0.215965i
$497$	−20.9940	+	38.1711i	−0.941709	+	1.71221i
$498$	−0.498522	−	8.08743i	−0.0223393	−	0.362406i
$499$	−14.8210	−	3.97128i	−0.663479	−	0.177779i	−0.0886635	−	0.996062i	$-0.528260\pi$
$499$	−14.8210	−	3.97128i	−0.663479	−	0.177779i	−0.574816	+	0.818283i	$0.694926\pi$
$500$	0.196906	−	0.734862i	0.00880589	−	0.0328640i
$501$	8.23139	+	24.5621i	0.367752	+	1.09735i
$502$	6.88703	−	25.7027i	0.307383	−	1.14717i
$503$	−23.0341	−	13.2987i	−1.02704	−	0.592962i	−0.110904	−	0.993831i	$-0.535375\pi$
$503$	−23.0341	−	13.2987i	−1.02704	−	0.592962i	−0.916135	+	0.400869i	$0.868708\pi$
$504$	−22.6966	−	9.05778i	−1.01099	−	0.403465i
$505$	−0.0562688	+	0.209998i	−0.00250393	+	0.00934480i
$506$	7.35693	+	12.7426i	0.327055	+	0.566476i
$507$	14.0639	−	17.5842i	0.624602	−	0.780943i
$508$	−6.70715	+	11.6171i	−0.297582	+	0.515426i
$509$	9.94079	−	2.66363i	0.440618	−	0.118063i	−0.0316882	−	0.999498i	$-0.510088\pi$
$509$	9.94079	−	2.66363i	0.440618	−	0.118063i	0.472306	+	0.881435i	$0.343422\pi$
$510$	−0.285642	−	0.142246i	−0.0126484	−	0.00629874i
$511$	16.6515	−	30.2755i	0.736617	−	1.33931i
$512$	−15.6900	−	15.6900i	−0.693406	−	0.693406i
$513$	13.6992	−	19.9937i	0.604835	−	0.882745i
$514$	6.15460	−	22.9693i	0.271468	−	1.01313i
$515$	0.0241440	+	0.0901067i	0.00106391	+	0.00397057i
$516$	−0.511369	−	0.771794i	−0.0225118	−	0.0339763i
$517$	−20.2075	+	11.6668i	−0.888727	+	0.513107i
$518$	1.45816	−	5.93181i	0.0640679	−	0.260629i
$519$	3.58425	+	5.40960i	0.157331	+	0.237455i
$520$	−0.139780	+	1.31008i	−0.00612974	+	0.0574509i
$521$	36.0202	+	20.7963i	1.57807	+	0.911100i	0.995128	+	0.0985877i	$0.0314325\pi$
$521$	36.0202	+	20.7963i	1.57807	+	0.911100i	0.582944	+	0.812513i	$0.301901\pi$
$522$	−7.23965	−	17.8696i	−0.316871	−	0.782132i
$523$	2.00941	−	3.48040i	0.0878654	−	0.152187i	−0.818743	−	0.574160i	$-0.805329\pi$
$523$	2.00941	−	3.48040i	0.0878654	−	0.152187i	0.906609	+	0.421973i	$0.138662\pi$
$524$	−0.389789	+	0.675135i	−0.0170280	+	0.0294934i
$525$	17.4300	+	14.7730i	0.760707	+	0.644746i
$526$	−6.84321	−	25.5392i	−0.298378	−	1.11356i
$527$	−7.59631	+	7.59631i	−0.330901	+	0.330901i
$528$	8.62744	−	9.76093i	0.375461	−	0.424790i
$529$	4.01951	+	6.96200i	0.174761	+	0.302696i
$530$	−0.453457	+	0.785411i	−0.0196969	+	0.0341161i
$531$	−8.54589	+	10.9598i	−0.370860	+	0.475614i
$532$	−4.10234	−	6.77661i	−0.177859	−	0.293803i
$533$	−33.2555	+	26.8432i	−1.44045	+	1.16271i
$534$	5.64152	−	11.3287i	0.244133	−	0.490240i
$535$	0.278477	−	0.278477i	0.0120396	−	0.0120396i
$536$			2.81557i			0.121614i
$537$	12.3777	+	18.6813i	0.534138	+	0.806158i
$538$	9.63284	−	9.63284i	0.415301	−	0.415301i
$539$	−16.8138	−	15.4726i	−0.724222	−	0.666454i
$540$	−0.170939	−	0.357065i	−0.00735605	−	0.0153656i
$541$	8.19490	−	30.5838i	0.352326	−	1.31490i	−0.531490	−	0.847065i	$-0.678368\pi$
$541$	8.19490	−	30.5838i	0.352326	−	1.31490i	0.883816	−	0.467835i	$-0.154966\pi$
$542$	−7.09836	+	4.09824i	−0.304901	+	0.176034i
$543$	−32.7524	+	21.7008i	−1.40554	+	0.931271i
$544$	−4.46762	+	1.19710i	−0.191548	+	0.0513250i
$545$	−0.758514			−0.0324912
$546$	−16.4399	−	10.0245i	−0.703561	−	0.429009i
$547$	−27.6716			−1.18315			−0.591576	−	0.806249i	$-0.701494\pi$
$547$	−27.6716			−1.18315			−0.591576	+	0.806249i	$0.701494\pi$
$548$	2.18963	−	0.586708i	0.0935362	−	0.0250629i
$549$	−9.66681	+	22.8341i	−0.412569	+	0.974537i
$550$	−16.4256	+	9.48334i	−0.700391	+	0.404371i
$551$	6.65762	−	24.8466i	0.283624	−	1.05850i
$552$	−13.6601	+	15.4548i	−0.581411	+	0.657798i
$553$	−7.85260	−	1.93033i	−0.333927	−	0.0820861i
$554$	−13.8936	+	13.8936i	−0.590284	+	0.590284i
$555$	0.339505	−	0.224947i	0.0144112	−	0.00954845i
$556$			1.90926i			0.0809708i
$557$	23.9731	−	23.9731i	1.01577	−	1.01577i	0.0159007	−	0.999874i	$-0.494938\pi$
$557$	23.9731	−	23.9731i	1.01577	−	1.01577i	0.999874	−	0.0159007i	$-0.00506158\pi$
$558$	27.9836	−	3.46307i	1.18464	−	0.146604i
$559$	−1.21688	−	2.74477i	−0.0514684	−	0.116091i
$560$	0.723382	−	0.0150180i	0.0305685	−	0.000634628i
$561$	−2.39297	−	7.14051i	−0.101031	−	0.301472i
$562$	7.97183	−	13.8076i	0.336272	−	0.582439i
$563$	−9.44313	−	16.3560i	−0.397981	−	0.689323i	0.595496	−	0.803358i	$-0.296956\pi$
$563$	−9.44313	−	16.3560i	−0.397981	−	0.689323i	−0.993477	+	0.114036i	$0.963622\pi$
$564$	−5.95488	−	5.26337i	−0.250746	−	0.221628i
$565$	−0.434738	+	0.434738i	−0.0182896	+	0.0182896i
$566$	−4.71898	−	17.6115i	−0.198354	−	0.740266i
$567$	23.8114	−	0.124143i	0.999986	−	0.00521351i
$568$	25.3470	−	43.9022i	1.06354	−	1.84210i
$569$	23.4994	−	40.7021i	0.985145	−	1.70632i	0.343854	−	0.939023i	$-0.388267\pi$
$569$	23.4994	−	40.7021i	0.985145	−	1.70632i	0.641291	−	0.767298i	$-0.278399\pi$
$570$	−0.222257	+	1.09510i	−0.00930931	+	0.0458687i
$571$	−10.6404	−	6.14326i	−0.445289	−	0.257088i	0.260550	−	0.965460i	$-0.416096\pi$
$571$	−10.6404	−	6.14326i	−0.445289	−	0.257088i	−0.705838	+	0.708373i	$0.749430\pi$
$572$	−5.87868	+	4.74517i	−0.245800	+	0.198405i
$573$	−27.0896	+	17.9488i	−1.13168	+	0.749822i
$574$	26.3734	+	25.3006i	1.10080	+	1.05603i
$575$	16.7015	−	9.64261i	0.696500	−	0.402125i
$576$	23.9105	+	10.1225i	0.996269	+	0.421769i
$577$	−5.92342	−	22.1065i	−0.246595	−	0.920306i	−0.972575	−	0.232590i	$-0.925280\pi$
$577$	−5.92342	−	22.1065i	−0.246595	−	0.920306i	0.725980	−	0.687716i	$-0.241387\pi$
$578$	−4.59242	+	17.1391i	−0.191019	+	0.712894i
$579$	−1.77064	+	8.72429i	−0.0735853	+	0.362569i
$580$	−0.297092	−	0.297092i	−0.0123361	−	0.0123361i
$581$	10.6185	−	0.220450i	0.440530	−	0.00914579i
$582$	−11.9590	+	24.0147i	−0.495715	+	0.995440i
$583$	−20.6740	+	5.53958i	−0.856229	+	0.229426i
$584$	−20.1040	+	34.8212i	−0.831911	+	1.44091i
$585$	−0.353098	−	1.23428i	−0.0145988	−	0.0510312i
$586$	−1.77772	−	3.07909i	−0.0734368	−	0.127196i
$587$	−6.82127	+	25.4573i	−0.281544	+	1.05074i	0.669784	+	0.742556i	$0.266387\pi$
$587$	−6.82127	+	25.4573i	−0.281544	+	1.05074i	−0.951328	+	0.308180i	$0.900280\pi$
$588$	3.17717	−	7.10465i	0.131024	−	0.292991i
$589$	32.5792	+	18.8096i	1.34240	+	0.775036i
$590$	0.165840	−	0.618922i	0.00682751	−	0.0254806i
$591$	14.7201	−	4.93310i	0.605506	−	0.202921i
$592$	−1.18146	+	4.40927i	−0.0485577	+	0.181220i
$593$	16.9778	+	4.54920i	0.697196	+	0.186813i	0.589974	−	0.807422i	$-0.299138\pi$
$593$	16.9778	+	4.54920i	0.697196	+	0.186813i	0.107222	+	0.994235i	$0.465805\pi$
$594$	−6.57149	+	18.6421i	−0.269631	+	0.764894i
$595$	0.201569	−	0.366491i	0.00826351	−	0.0150247i
$596$	−13.8926	−	3.72251i	−0.569063	−	0.152480i
$597$	3.24978	+	1.61834i	0.133005	+	0.0662344i
$598$	−12.6465	+	10.2081i	−0.517155	+	0.417438i
$599$	−28.5434	−	16.4796i	−1.16625	−	0.673336i	−0.213458	−	0.976952i	$-0.568473\pi$
$599$	−28.5434	−	16.4796i	−1.16625	−	0.673336i	−0.952795	+	0.303616i	$0.901806\pi$
$600$	−19.9217	−	17.6083i	−0.813301	−	0.718857i
$601$	−1.58538	−	2.74596i	−0.0646690	−	0.112010i	0.831878	−	0.554958i	$-0.187266\pi$
$601$	−1.58538	−	2.74596i	−0.0646690	−	0.112010i	−0.896547	+	0.442948i	$0.853932\pi$
$602$	−2.19641	+	1.32964i	−0.0895190	+	0.0541919i
$603$	−1.03016	−	2.54275i	−0.0419514	−	0.103549i
$604$	−2.18845	+	2.18845i	−0.0890466	+	0.0890466i
$605$	−0.0395241	−	0.0105905i	−0.00160688	−	0.000430563i
$606$	2.77035	+	2.44864i	0.112538	+	0.0994692i
$607$	−23.8678			−0.968765			−0.484383	−	0.874856i	$-0.660956\pi$
$607$	−23.8678			−0.968765			−0.484383	+	0.874856i	$0.660956\pi$
$608$	8.09831	+	14.0267i	0.328430	+	0.568857i
$609$	23.7904	−	8.52603i	0.964037	−	0.345492i
$610$		−	1.14322i		−	0.0462875i
$611$	−16.1882	−	20.0552i	−0.654906	−	0.811348i
$612$	2.04705	−	1.54563i	0.0827471	−	0.0624783i
$613$	22.8413	−	22.8413i	0.922551	−	0.922551i	−0.0746582	−	0.997209i	$-0.523787\pi$
$613$	22.8413	−	22.8413i	0.922551	−	0.922551i	0.997209	+	0.0746582i	$0.0237866\pi$
$614$	5.55430	+	3.20678i	0.224153	+	0.129415i
$615$	0.149917	+	2.43207i	0.00604523	+	0.0980706i
$616$	19.1879	+	18.4074i	0.773104	+	0.741656i
$617$	−23.1100	+	6.19232i	−0.930375	+	0.249293i	−0.692015	−	0.721884i	$-0.743277\pi$
$617$	−23.1100	+	6.19232i	−0.930375	+	0.249293i	−0.238360	+	0.971177i	$0.576610\pi$
$618$	1.55479	+	0.315552i	0.0625427	+	0.0126934i
$619$	−33.1629	+	8.88598i	−1.33293	+	0.357158i	−0.853807	−	0.520590i	$-0.825712\pi$
$619$	−33.1629	+	8.88598i	−1.33293	+	0.357158i	−0.479124	+	0.877747i	$0.659045\pi$
$620$	0.532137	−	0.307229i	0.0213711	−	0.0123386i
$621$	6.68186	−	18.9552i	0.268134	−	0.760645i
$622$	2.75916	−	10.2973i	0.110632	−	0.412885i
$623$	14.5352	+	7.99430i	0.582339	+	0.320285i
$624$	12.1274	+	7.74470i	0.485484	+	0.310036i
$625$	12.3944	+	21.4678i	0.495778	+	0.858713i
$626$	2.48482	+	2.48482i	0.0993133	+	0.0993133i
$627$	−21.9838	+	14.5659i	−0.877949	+	0.581704i
$628$			9.52832i			0.380222i
$629$	1.86594	+	1.86594i	0.0744000	+	0.0744000i
$630$	−1.00873	+	0.433259i	−0.0401887	+	0.0172615i
$631$	−34.3118	+	9.19383i	−1.36593	+	0.366000i	−0.865991	−	0.500059i	$-0.833312\pi$
$631$	−34.3118	+	9.19383i	−1.36593	+	0.366000i	−0.499941	+	0.866060i	$0.666645\pi$
$632$	9.08931	+	2.43547i	0.361554	+	0.0968780i
$633$	−11.4358	+	22.9642i	−0.454534	+	0.912745i
$634$		−	21.2918i		−	0.845607i
$635$	0.641941	+	2.39576i	0.0254746	+	0.0950726i
$636$	−4.02655	−	6.07716i	−0.159663	−	0.240975i
$637$	14.0078	−	20.9948i	0.555011	−	0.831843i
$638$			20.9787i			0.830553i
$639$	−6.82795	+	48.9222i	−0.270110	+	1.93533i
$640$	−0.372843			−0.0147379
$641$	−13.5765	−	23.5152i	−0.536240	−	0.928795i	−0.999102	−	0.0423647i	$-0.986511\pi$
$641$	−13.5765	−	23.5152i	−0.536240	−	0.928795i	0.462862	−	0.886430i	$-0.346822\pi$
$642$	−2.12825	−	6.35058i	−0.0839952	−	0.250638i
$643$	−5.47562	−	20.4353i	−0.215937	−	0.805890i	−0.985834	−	0.167721i	$-0.946359\pi$
$643$	−5.47562	−	20.4353i	−0.215937	−	0.805890i	0.769897	−	0.638168i	$-0.220308\pi$
$644$	−4.74041	−	4.54759i	−0.186798	−	0.179200i
$645$	−0.167764	−	0.0340485i	−0.00660569	−	0.00134066i
$646$	−7.24029			−0.284865
$647$	18.9139			0.743581			0.371791	−	0.928317i	$-0.378744\pi$
$647$	18.9139			0.743581			0.371791	+	0.928317i	$0.378744\pi$
$648$	−27.7059	−	0.430705i	−1.08839	−	0.0169197i
$649$	13.0960	−	7.56095i	0.514061	−	0.296793i
$650$	−13.1585	−	16.3018i	−0.516121	−	0.639410i
$651$	3.03914	+	36.8345i	0.119113	+	1.44366i
$652$	6.29126	+	1.68574i	0.246385	+	0.0660186i
$653$	−31.3091	−	18.0763i	−1.22522	−	0.707382i	−0.259195	−	0.965825i	$-0.583457\pi$
$653$	−31.3091	−	18.0763i	−1.22522	−	0.707382i	−0.966026	+	0.258443i	$0.916790\pi$
$654$	−5.75040	+	11.5473i	−0.224858	+	0.451536i
$655$	0.0373067	+	0.139231i	0.00145769	+	0.00544019i
$656$	−19.3122	−	19.3122i	−0.754013	−	0.754013i
$657$	5.41562	−	38.8028i	0.211283	−	1.51384i
$658$	−15.2579	+	15.9049i	−0.594815	+	0.620037i
$659$	6.27163	+	3.62092i	0.244308	+	0.141051i	0.617155	−	0.786842i	$-0.288285\pi$
$659$	6.27163	+	3.62092i	0.244308	+	0.141051i	−0.372847	+	0.927893i	$0.621618\pi$
$660$	0.0265013	+	0.429925i	0.00103156	+	0.0167348i
$661$	8.17683	+	8.17683i	0.318042	+	0.318042i	0.848015	−	0.529973i	$-0.177798\pi$
$661$	8.17683	+	8.17683i	0.318042	+	0.318042i	−0.529973	+	0.848015i	$0.677798\pi$
$662$	10.3185	−	17.8722i	0.401040	−	0.694622i
$663$	7.38258	−	3.83285i	0.286716	−	0.148856i
$664$	−12.3592			−0.479630
$665$	−1.42234	−	0.349640i	−0.0551559	−	0.0135585i
$666$	−0.850662	−	6.87384i	−0.0329625	−	0.266356i
$667$		−	21.3310i		−	0.825940i
$668$	9.27327	−	2.48477i	0.358794	−	0.0961385i
$669$	5.16375	+	15.4084i	0.199642	+	0.595722i
$670$	0.0894408	+	0.0894408i	0.00345540	+	0.00345540i
$671$	19.0778	−	19.0778i	0.736490	−	0.736490i
$672$	−6.79621	+	14.3883i	−0.262169	+	0.555042i
$673$	9.54722	−	5.51209i	0.368018	−	0.212475i	−0.304574	−	0.952489i	$-0.598514\pi$
$673$	9.54722	−	5.51209i	0.368018	−	0.212475i	0.672592	+	0.740013i	$0.265181\pi$
$674$	4.84894	+	18.0965i	0.186774	+	0.697051i
$675$	24.4339	+	8.61315i	0.940461	+	0.331520i
$676$	−6.18378	−	5.60324i	−0.237838	−	0.215509i
$677$	−14.2644	+	8.23553i	−0.548224	+	0.316517i	−0.748405	−	0.663242i	$-0.769180\pi$
$677$	−14.2644	+	8.23553i	−0.548224	+	0.316517i	0.200181	+	0.979759i	$0.435847\pi$
$678$	3.32247	+	9.91408i	0.127599	+	0.380748i
$679$	−30.8118	−	16.9464i	−1.18245	−	0.650343i
$680$	−0.243363	+	0.421517i	−0.00933254	+	0.0161644i
$681$	−21.7719	+	7.29634i	−0.834302	+	0.279596i
$682$	−29.6352	−	7.94074i	−1.13479	−	0.304067i
$683$	4.91184	+	1.31612i	0.187946	+	0.0503601i	0.351564	−	0.936164i	$-0.385650\pi$
$683$	4.91184	+	1.31612i	0.187946	+	0.0503601i	−0.163618	+	0.986524i	$0.552316\pi$
$684$	−7.08337	−	5.52326i	−0.270840	−	0.211187i
$685$	0.209569	−	0.362984i	0.00800722	−	0.0138689i
$686$	−19.3268	−	9.60735i	−0.737900	−	0.366810i
$687$	41.6281	−	13.9507i	1.58821	−	0.532252i
$688$	1.66165	−	0.959355i	0.0633499	−	0.0365751i
$689$	−9.58177	−	21.6125i	−0.365036	−	0.823369i
$690$	0.0570110	+	0.924878i	0.00217037	+	0.0352095i
$691$	−7.29865	−	27.2389i	−0.277654	−	1.03622i	−0.954042	−	0.299673i	$-0.903122\pi$
$691$	−7.29865	−	27.2389i	−0.277654	−	1.03622i	0.676388	−	0.736545i	$-0.263544\pi$
$692$	2.08275	−	1.20248i	0.0791743	−	0.0457113i
$693$	−24.0636	−	9.60331i	−0.914100	−	0.364800i
$694$	−10.2935	+	10.2935i	−0.390737	+	0.390737i
$695$	0.249621	+	0.249621i	0.00946868	+	0.00946868i
$696$	−27.8844	+	9.34479i	−1.05696	+	0.354213i
$697$	−15.2504	+	4.08632i	−0.577648	+	0.154780i
$698$		−	3.31254i		−	0.125382i
$699$	−15.2081	+	30.5393i	−0.575224	+	1.15510i
$700$	5.86200	−	6.11056i	0.221563	−	0.230957i
$701$	−22.2866			−0.841753			−0.420877	−	0.907118i	$-0.638278\pi$
$701$	−22.2866			−0.841753			−0.420877	+	0.907118i	$0.638278\pi$
$702$	−21.4671	−	3.98184i	−0.810223	−	0.150285i
$703$	4.62035	−	8.00268i	0.174260	−	0.301827i
$704$	−19.9771	−	19.9771i	−0.752914	−	0.752914i
$705$	−1.46670	+	0.0904097i	−0.0552391	+	0.00340503i
$706$	32.1872	+	18.5833i	1.21138	+	0.699392i
$707$	−3.35505	+	3.49731i	−0.126179	+	0.131530i
$708$	3.85919	+	3.41105i	0.145037	+	0.128195i
$709$	14.2493	+	14.2493i	0.535144	+	0.535144i	0.922099	−	0.386954i	$-0.126473\pi$
$709$	14.2493	+	14.2493i	0.535144	+	0.535144i	−0.386954	+	0.922099i	$0.626473\pi$
$710$	−0.589437	−	2.19981i	−0.0221212	−	0.0825573i
$711$	−9.09968	+	1.12612i	−0.341265	+	0.0422327i
$712$	−16.7175	−	9.65187i	−0.626516	−	0.361719i
$713$	30.1330	+	8.07411i	1.12849	+	0.302378i
$714$	−4.05119	−	5.84702i	−0.151612	−	0.218819i
$715$	−0.148198	+	1.38899i	−0.00554230	+	0.0519451i
$716$	7.19250	−	4.15259i	0.268796	−	0.155190i
$717$	−4.04160	+	19.9137i	−0.150936	+	0.743692i
$718$	3.87548			0.144631
$719$	4.65486			0.173597			0.0867984	−	0.996226i	$-0.472336\pi$
$719$	4.65486			0.173597			0.0867984	+	0.996226i	$0.472336\pi$
$720$	0.760381	−	0.308059i	0.0283377	−	0.0114807i
$721$	−0.496407	+	2.01938i	−0.0184872	+	0.0752058i
$722$	0.831324	+	3.10254i	0.0309387	+	0.115465i
$723$	−3.09001	+	1.03554i	−0.114919	+	0.0385122i
$724$	7.28039	+	12.6100i	0.270573	+	0.468647i
$725$	27.4964			1.02119
$726$	−0.460863	+	0.521412i	−0.0171042	+	0.0193514i
$727$		−	3.93931i		−	0.146101i	−0.997328	−	0.0730505i	$-0.976727\pi$
$727$		−	3.93931i		−	0.146101i	0.997328	−	0.0730505i	$-0.0232734\pi$
$728$	−16.8042	+	24.0876i	−0.622806	+	0.892745i
$729$	25.1789	−	9.74807i	0.932550	−	0.361040i
$730$	0.467514	+	1.74479i	0.0173035	+	0.0645775i
$731$		−	1.10917i		−	0.0410243i
$732$	8.22599	+	4.09643i	0.304042	+	0.151408i
$733$	19.5808	+	5.24667i	0.723235	+	0.193790i	0.601614	−	0.798787i	$-0.294524\pi$
$733$	19.5808	+	5.24667i	0.723235	+	0.193790i	0.121620	+	0.992577i	$0.461191\pi$
$734$	−31.8222	+	8.52675i	−1.17458	+	0.314728i
$735$	−0.513488	−	1.34427i	−0.0189403	−	0.0495841i
$736$	9.49725	+	9.49725i	0.350073	+	0.350073i
$737$			2.98514i			0.109959i
$738$	38.1614	+	16.1556i	1.40474	+	0.594695i
$739$	4.76718	+	4.76718i	0.175364	+	0.175364i	0.789331	−	0.613968i	$-0.210427\pi$
$739$	4.76718	+	4.76718i	0.175364	+	0.175364i	−0.613968	+	0.789331i	$0.710427\pi$
$740$	−0.0754672	−	0.130713i	−0.00277423	−	0.00480510i
$741$	−19.6556	−	21.4976i	−0.722068	−	0.789735i
$742$	−17.2947	+	10.4696i	−0.634908	+	0.384352i
$743$	2.94070	−	10.9748i	0.107884	−	0.402628i	−0.890772	−	0.454450i	$-0.849836\pi$
$743$	2.94070	−	10.9748i	0.107884	−	0.402628i	0.998656	+	0.0518214i	$0.0165027\pi$
$744$	−2.64613	−	42.9277i	−0.0970120	−	1.57381i
$745$	−2.30304	+	1.32966i	−0.0843768	+	0.0487150i
$746$	16.0894	−	4.31115i	0.589076	−	0.157842i
$747$	11.1616	−	4.52199i	0.408383	−	0.165451i
$748$	−2.69586	+	0.722352i	−0.0985703	+	0.0264118i
$749$	8.43097	−	2.44772i	0.308061	−	0.0894378i
$750$	−2.38777	+	0.147186i	−0.0871890	+	0.00537447i
$751$	−38.1293	−	22.0140i	−1.39136	−	0.803301i	−0.397893	−	0.917432i	$-0.630258\pi$
$751$	−38.1293	−	22.0140i	−1.39136	−	0.803301i	−0.993466	+	0.114131i	$0.963592\pi$
$752$	11.6465	−	11.6465i	0.424704	−	0.424704i
$753$	39.4737	−	2.43322i	1.43850	−	0.0886716i
$754$	−22.8926	+	3.58892i	−0.833700	+	0.130701i
$755$			0.572245i			0.0208261i
$756$	0.497014	−	8.81075i	0.0180762	−	0.320444i
$757$	12.3729	+	21.4305i	0.449701	+	0.778904i	0.998366	−	0.0571375i	$-0.0181974\pi$
$757$	12.3729	+	21.4305i	0.449701	+	0.778904i	−0.548666	+	0.836042i	$0.684864\pi$
$758$	33.1146			1.20278
$759$	−14.4828	+	16.3856i	−0.525692	+	0.594759i
$760$	1.64634	+	0.441136i	0.0597191	+	0.0160017i
$761$	−5.27195	+	5.27195i	−0.191108	+	0.191108i	−0.796175	−	0.605067i	$-0.793146\pi$
$761$	−5.27195	+	5.27195i	−0.191108	+	0.191108i	0.605067	+	0.796175i	$0.293146\pi$
$762$	41.3387	+	8.38990i	1.49754	+	0.303934i
$763$	−14.8157	−	8.14858i	−0.536364	−	0.294999i
$764$	6.02163	+	10.4298i	0.217855	+	0.377336i
$765$	0.0655570	−	0.469715i	0.00237022	−	0.0169826i
$766$	−17.0681	−	9.85425i	−0.616694	−	0.356048i
$767$	10.4912	+	12.9973i	0.378814	+	0.469304i
$768$	10.5384	−	21.1620i	0.380271	−	0.763617i
$769$	−8.37977	−	2.24535i	−0.302182	−	0.0809695i	0.104542	−	0.994520i	$-0.466662\pi$
$769$	−8.37977	−	2.24535i	−0.302182	−	0.0809695i	−0.406724	+	0.913551i	$0.633329\pi$
$770$	1.19428	−	0.0247942i	0.0430387	−	0.000893521i
$771$	35.2757	−	2.17445i	1.27042	−	0.0783111i
$772$	3.18677	+	0.853891i	0.114694	+	0.0307322i
$773$	−11.6718	+	43.5598i	−0.419806	+	1.56674i	0.355206	+	0.934788i	$0.384411\pi$
$773$	−11.6718	+	43.5598i	−0.419806	+	1.56674i	−0.775011	+	0.631948i	$0.782256\pi$
$774$	−1.79018	+	2.29584i	−0.0643467	+	0.0825223i
$775$	−10.4078	+	38.8425i	−0.373859	+	1.39526i
$776$	35.4380	+	20.4601i	1.27215	+	0.734476i
$777$	9.04795	−	0.746529i	0.324593	−	0.0267816i
$778$	−9.16656	+	34.2101i	−0.328637	+	1.22649i
$779$	27.6438	+	47.8805i	0.990442	+	1.71550i
$780$	−0.464615	+	0.102468i	−0.0166359	+	0.00366896i
$781$	26.8736	−	46.5464i	0.961612	−	1.66556i
$782$	−5.79947	+	1.55396i	−0.207389	+	0.0555696i
$783$	21.7634	−	18.6417i	0.777761	−	0.666199i
$784$	14.2908	+	7.47782i	0.510386	+	0.267065i
$785$	1.24575	+	1.24575i	0.0444629	+	0.0444629i
$786$	2.40242	+	0.487584i	0.0856914	+	0.0173915i
$787$	7.86878	−	29.3667i	0.280492	−	1.04681i	−0.671579	−	0.740933i	$-0.734384\pi$
$787$	7.86878	−	29.3667i	0.280492	−	1.04681i	0.952071	−	0.305877i	$-0.0989496\pi$
$788$	−1.48913	−	5.55750i	−0.0530480	−	0.197978i
$789$	32.7589	−	21.7051i	1.16625	−	0.772722i
$790$	0.366103	−	0.211370i	0.0130254	−	0.00752019i
$791$	−13.1618	+	3.82121i	−0.467981	+	0.135867i
$792$	27.7643	+	11.7540i	0.986562	+	0.417660i
$793$	24.0821	+	17.5546i	0.855179	+	0.623382i
$794$	−4.64623	−	2.68250i	−0.164889	−	0.0951985i
$795$	−1.32098	−	0.268100i	−0.0468504	−	0.00950854i
$796$	0.672730	−	1.16520i	0.0238443	−	0.0412995i
$797$	20.9122	−	36.2209i	0.740747	−	1.28301i	−0.211409	−	0.977398i	$-0.567805\pi$
$797$	20.9122	−	36.2209i	0.740747	−	1.28301i	0.952156	−	0.305613i	$-0.0988615\pi$
$798$	−16.1057	+	19.0024i	−0.570136	+	0.672678i
$799$	−2.46432	−	9.19696i	−0.0871813	−	0.325365i
$800$	−12.2423	+	12.2423i	−0.432830	+	0.432830i
$801$	18.6291	+	2.60002i	0.658226	+	0.0918671i
$802$	14.1202	+	24.4570i	0.498603	+	0.863605i
$803$	−21.3149	+	36.9185i	−0.752186	+	1.30282i
$804$	−0.964058	+	0.323081i	−0.0339997	+	0.0113942i
$805$	−1.21433	+	0.0252106i	−0.0427996	+	0.000888557i
$806$	3.59536	−	33.6974i	0.126641	−	1.18694i
$807$	18.1242	+	9.02561i	0.638003	+	0.317717i
$808$	3.98783	−	3.98783i	0.140291	−	0.140291i
$809$			16.3282i			0.574070i	0.957920	+	0.287035i	$0.0926696\pi$
$809$			16.3282i			0.574070i	−0.957920	+	0.287035i	$0.907330\pi$
$810$	−0.893803	+	0.866439i	−0.0314050	+	0.0304436i
$811$	−0.338307	+	0.338307i	−0.0118796	+	0.0118796i	−0.713022	−	0.701142i	$-0.752674\pi$
$811$	−0.338307	+	0.338307i	−0.0118796	+	0.0118796i	0.701142	+	0.713022i	$0.252674\pi$
$812$	−2.61134	−	8.99455i	−0.0916402	−	0.315647i
$813$	−9.12772	−	8.06777i	−0.320123	−	0.282949i
$814$	−1.95055	+	7.27954i	−0.0683666	+	0.255148i
$815$	1.04293	−	0.602136i	0.0365322	−	0.0210919i
$816$	2.93611	+	4.43138i	0.102784	+	0.155129i
$817$	−3.75176	+	1.00528i	−0.131257	+	0.0351703i
$818$	7.68550			0.268717
$819$	6.36278	−	27.9019i	0.222333	−	0.974971i
$820$	0.903048			0.0315358
$821$	48.4941	−	12.9940i	1.69246	−	0.453493i	0.721435	−	0.692482i	$-0.243483\pi$
$821$	48.4941	−	12.9940i	1.69246	−	0.453493i	0.971022	+	0.238989i	$0.0768161\pi$
$822$	−3.93715	−	5.94223i	−0.137324	−	0.207259i
$823$	27.5177	−	15.8874i	0.959208	−	0.553799i	0.0632785	−	0.997996i	$-0.479844\pi$
$823$	27.5177	−	15.8874i	0.959208	−	0.553799i	0.895929	+	0.444197i	$0.146511\pi$
$824$	0.626310	−	2.33742i	0.0218185	−	0.0814279i
$825$	−21.1216	−	18.6688i	−0.735359	−	0.649965i
$826$	9.88824	−	10.3075i	0.344056	−	0.358645i
$827$	27.0437	−	27.0437i	0.940403	−	0.940403i	−0.0579184	−	0.998321i	$-0.518446\pi$
$827$	27.0437	−	27.0437i	0.940403	−	0.940403i	0.998321	+	0.0579184i	$0.0184463\pi$
$828$	−6.85922	−	2.90384i	−0.238374	−	0.100916i
$829$		−	32.1085i		−	1.11517i	−0.830118	−	0.557587i	$-0.811727\pi$
$829$		−	32.1085i		−	1.11517i	0.830118	−	0.557587i	$-0.188273\pi$
$830$	−0.392610	+	0.392610i	−0.0136277	+	0.0136277i
$831$	−26.1409	−	13.0178i	−0.906819	−	0.451583i
$832$	18.3821	−	25.2172i	0.637283	−	0.874249i
$833$	7.87429	−	4.99307i	0.272828	−	0.172999i
$834$	5.69255	−	1.90772i	0.197117	−	0.0660590i
$835$	0.887544	−	1.53727i	0.0307147	−	0.0531995i
$836$	4.88669	+	8.46400i	0.169010	+	0.292733i
$837$	18.0961	+	37.8000i	0.625494	+	1.30656i
$838$	1.02402	−	1.02402i	0.0353740	−	0.0353740i
$839$	−4.76520	−	17.7840i	−0.164513	−	0.613971i	−0.998102	−	0.0615854i	$-0.980384\pi$
$839$	−4.76520	−	17.7840i	−0.164513	−	0.613971i	0.833589	−	0.552385i	$-0.186282\pi$
$840$	0.564937	+	1.57636i	0.0194922	+	0.0543897i
$841$	0.706619	−	1.22390i	0.0243662	−	0.0422034i
$842$	5.74794	−	9.95573i	0.198087	−	0.343097i
$843$	23.2230	+	4.71324i	0.799844	+	0.162333i
$844$	8.23376	+	4.75377i	0.283418	+	0.163631i
$845$	−1.54106	+	0.0759015i	−0.0530141	+	0.00261109i
$846$	−9.74288	+	23.0138i	−0.334967	+	0.791232i
$847$	−0.658234	−	0.631459i	−0.0226172	−	0.0216972i
$848$	13.0839	−	7.55402i	0.449305	−	0.259406i
$849$	22.5901	−	14.9675i	0.775289	−	0.513685i
$850$	−2.00311	−	7.47572i	−0.0687062	−	0.256415i
$851$	1.98331	−	7.40180i	0.0679869	−	0.253730i
$852$	17.9408	+	3.64117i	0.614640	+	0.124745i
$853$	−27.2414	−	27.2414i	−0.932728	−	0.932728i	0.0651480	−	0.997876i	$-0.479248\pi$
$853$	−27.2414	−	27.2414i	−0.932728	−	0.932728i	−0.997876	+	0.0651480i	$0.979248\pi$
$854$	12.2814	−	22.3299i	0.420260	−	0.764114i
$855$	−1.64822	+	0.203973i	−0.0563679	+	0.00697573i
$856$	−9.86795	+	2.64411i	−0.337280	+	0.0903738i
$857$	6.90093	−	11.9528i	0.235731	−	0.408298i	−0.723754	−	0.690058i	$-0.757585\pi$
$857$	6.90093	−	11.9528i	0.235731	−	0.408298i	0.959485	+	0.281760i	$0.0909182\pi$
$858$	20.0219	+	12.7862i	0.683535	+	0.436514i
$859$	−17.9662	−	31.1184i	−0.612998	−	1.06174i	−0.990732	−	0.135830i	$-0.956630\pi$
$859$	−17.9662	−	31.1184i	−0.612998	−	1.06174i	0.377734	−	0.925914i	$-0.376704\pi$
$860$	−0.0164199	+	0.0612799i	−0.000559914	+	0.00208963i
$861$	−23.1991	+	49.1150i	−0.790622	+	1.67383i
$862$	−4.17283	−	2.40919i	−0.142127	−	0.0820572i
$863$	−11.0381	+	41.1949i	−0.375743	+	1.40229i	0.476514	+	0.879167i	$0.341900\pi$
$863$	−11.0381	+	41.1949i	−0.375743	+	1.40229i	−0.852257	+	0.523124i	$0.824766\pi$
$864$	−1.38990	+	17.9896i	−0.0472855	+	0.612020i
$865$	0.115089	−	0.429518i	0.00391314	−	0.0146041i
$866$	−13.8030	−	3.69851i	−0.469046	−	0.125680i
$867$	−26.3219	+	1.62253i	−0.893939	+	0.0551039i
$868$	13.6945	−	0.284309i	0.464821	−	0.00965008i
$869$	9.63675	+	2.58216i	0.326904	+	0.0875937i
$870$	−0.588940	+	1.18264i	−0.0199669	+	0.0400954i
$871$	−3.25749	+	0.510683i	−0.110376	+	0.0173038i
$872$	17.0402	+	9.83815i	0.577053	+	0.333162i
$873$	−39.4901	−	5.51154i	−1.33654	−	0.186537i
$874$	10.5125	+	18.2082i	0.355591	+	0.615901i
$875$	−0.0650866	−	3.13506i	−0.00220033	−	0.105984i
$876$	−14.2298	−	2.88801i	−0.480780	−	0.0975769i
$877$	14.5292	−	14.5292i	0.490616	−	0.490616i	−0.417884	−	0.908500i	$-0.637228\pi$
$877$	14.5292	−	14.5292i	0.490616	−	0.490616i	0.908500	+	0.417884i	$0.137228\pi$
$878$	−6.28278	−	1.68347i	−0.212034	−	0.0568143i
$879$	3.49960	−	3.95938i	0.118039	−	0.133547i
$880$	−0.892676			−0.0300921
$881$	20.5615	+	35.6136i	0.692735	+	1.19985i	0.970938	+	0.239330i	$0.0769276\pi$
$881$	20.5615	+	35.6136i	0.692735	+	1.19985i	−0.278204	+	0.960522i	$0.589739\pi$
$882$	−24.3574	−	2.37395i	−0.820157	−	0.0799349i
$883$			39.2573i			1.32111i	0.750776	+	0.660557i	$0.229680\pi$
$883$			39.2573i			1.32111i	−0.750776	+	0.660557i	$0.770320\pi$
$884$	−1.24945	−	2.81823i	−0.0420235	−	0.0947874i
$885$	0.950527	−	0.0585921i	0.0319516	−	0.00196955i
$886$	30.6247	−	30.6247i	1.02886	−	1.02886i
$887$	−28.3659	−	16.3770i	−0.952432	−	0.549887i	−0.0585967	−	0.998282i	$-0.518663\pi$
$887$	−28.3659	−	16.3770i	−0.952432	−	0.549887i	−0.893836	+	0.448395i	$0.851996\pi$
$888$	−10.5447	+	0.649991i	−0.353856	+	0.0218123i
$889$	−13.1985	+	53.6914i	−0.442662	+	1.80075i
$890$	−0.837665	+	0.224452i	−0.0280786	+	0.00752364i
$891$	−29.3746	−	0.456645i	−0.984085	−	0.0152982i
$892$	5.81734	−	1.55875i	0.194779	−	0.0521908i
$893$	−28.8751	+	16.6710i	−0.966268	+	0.557875i
$894$	2.78256	+	45.1409i	0.0930627	+	1.50974i
$895$	0.397444	−	1.48328i	0.0132851	−	0.0495806i
$896$	−7.28256	−	4.00538i	−0.243293	−	0.133810i
$897$	−20.3581	−	13.0010i	−0.679738	−	0.434089i
$898$	16.0871	+	27.8636i	0.536833	+	0.929821i
$899$	31.4510	+	31.4510i	1.04895	+	1.04895i
$900$	3.74316	−	8.84178i	0.124772	−	0.294726i
$901$		−	8.73370i		−	0.290962i
$902$	−31.8836	−	31.8836i	−1.06161	−	1.06161i
$903$	−2.91107	−	2.46731i	−0.0968743	−	0.0821069i
$904$	15.4051	−	4.12780i	0.512367	−	0.137288i
$905$	2.60051	+	0.696806i	0.0864440	+	0.0231626i
$906$	8.71162	+	4.33827i	0.289424	+	0.144129i
$907$			2.46925i			0.0819901i	0.999159	+	0.0409950i	$0.0130528\pi$
$907$			2.46925i			0.0819901i	−0.999159	+	0.0409950i	$0.986947\pi$
$908$	2.20251	+	8.21987i	0.0730927	+	0.272786i
$909$	−2.14235	+	5.06049i	−0.0710573	+	0.167846i
$910$	0.231367	+	1.29899i	0.00766973	+	0.0430612i
$911$			7.87426i			0.260886i	0.991456	+	0.130443i	$0.0416400\pi$
$911$			7.87426i			0.260886i	−0.991456	+	0.130443i	$0.958360\pi$
$912$	12.3280	−	13.9476i	0.408220	−	0.461853i
$913$	−13.1036			−0.433665
$914$	−19.0536	−	33.0017i	−0.630236	−	1.09160i
$915$	1.61106	−	0.539909i	0.0532600	−	0.0178488i
$916$	−4.21121	−	15.7165i	−0.139142	−	0.519287i
$917$	−0.767036	+	3.12030i	−0.0253297	+	0.103041i
$918$	−6.65375	−	4.55899i	−0.219607	−	0.150469i
$919$	9.97776			0.329136			0.164568	−	0.986366i	$-0.447377\pi$
$919$	9.97776			0.329136			0.164568	+	0.986366i	$0.447377\pi$
$920$	1.41340			0.0465984
$921$	−1.89596	+	9.34178i	−0.0624741	+	0.307822i
$922$	2.75807	−	1.59237i	0.0908322	−	0.0524420i
$923$	55.3904	+	21.3624i	1.82320	+	0.703153i
$924$	−4.10097	+	8.68222i	−0.134912	+	0.285624i
$925$	9.54118	+	2.55655i	0.313712	+	0.0840589i
$926$	−20.7789	−	11.9967i	−0.682836	−	0.394236i
$927$	0.289594	+	2.34008i	0.00951150	+	0.0768584i
$928$	4.95633	+	18.4973i	0.162700	+	0.607203i
$929$	−21.2414	−	21.2414i	−0.696907	−	0.696907i	0.266835	−	0.963742i	$-0.414022\pi$
$929$	−21.2414	−	21.2414i	−0.696907	−	0.696907i	−0.963742	+	0.266835i	$0.914022\pi$
$930$	−1.44772	−	1.27961i	−0.0474727	−	0.0419600i
$931$	−24.0257	−	22.1093i	−0.787410	−	0.724602i
$932$	10.9498	+	6.32187i	0.358672	+	0.207080i
$933$	15.8144	−	0.974826i	0.517740	−	0.0319144i
$934$	−16.8753	−	16.8753i	−0.552177	−	0.552177i
$935$	−0.258020	+	0.446904i	−0.00843816	+	0.0146153i
$936$	−8.07657	+	32.3082i	−0.263991	+	1.05603i
$937$	9.66911			0.315876			0.157938	−	0.987449i	$-0.449515\pi$
$937$	9.66911			0.315876			0.157938	+	0.987449i	$0.449515\pi$
$938$	0.786157	+	2.70785i	0.0256689	+	0.0884145i
$939$	−2.32818	+	4.67520i	−0.0759773	+	0.152569i
$940$			0.544597i			0.0177628i
$941$	−44.8396	+	12.0147i	−1.46173	+	0.391669i	−0.900087	−	0.435711i	$-0.856497\pi$
$941$	−44.8396	+	12.0147i	−1.46173	+	0.391669i	−0.561643	+	0.827380i	$0.689830\pi$
$942$	28.4091	−	9.52063i	0.925618	−	0.310199i
$943$	32.4191	+	32.4191i	1.05571	+	1.05571i
$944$	−7.54778	+	7.54778i	−0.245659	+	0.245659i
$945$	−1.08696	−	1.21692i	−0.0353587	−	0.0395863i
$946$	2.74332	−	1.58386i	0.0891931	−	0.0514957i
$947$	−2.41781	−	9.02341i	−0.0785684	−	0.293221i	0.915450	−	0.402431i	$-0.131835\pi$
$947$	−2.41781	−	9.02341i	−0.0785684	−	0.293221i	−0.994019	+	0.109210i	$0.965168\pi$
$948$	0.209068	+	3.39167i	0.00679022	+	0.110156i
$949$	−43.9331	−	16.9437i	−1.42613	−	0.550016i
$950$	−23.4710	+	13.5510i	−0.761500	+	0.439652i
$951$	30.0052	−	10.0555i	0.972985	−	0.326073i
$952$	−9.28177	+	5.61888i	−0.300824	+	0.182109i
$953$	5.81926	−	10.0792i	0.188504	−	0.326499i	−0.756248	−	0.654286i	$-0.772969\pi$
$953$	5.81926	−	10.0792i	0.188504	−	0.326499i	0.944752	+	0.327787i	$0.106303\pi$
$954$	−14.0960	+	18.0776i	−0.456375	+	0.585284i
$955$	2.15089	+	0.576330i	0.0696013	+	0.0186496i
$956$	7.27399	+	1.94906i	0.235258	+	0.0630371i
$957$	−29.5638	+	9.90761i	−0.955663	+	0.320268i
$958$	−3.94689	+	6.83621i	−0.127518	+	0.220868i
$959$	7.99288	−	4.83863i	0.258104	−	0.156247i
$960$	−0.565358	−	1.68700i	−0.0182468	−	0.0544477i
$961$	−29.4868	+	17.0242i	−0.951186	+	0.549168i
$962$	−8.27737	−	0.883156i	−0.266873	−	0.0284741i
$963$	7.94435	−	5.99839i	0.256003	−	0.193296i
$964$	0.312593	+	1.16661i	0.0100679	+	0.0375741i
$965$	0.528284	−	0.305005i	0.0170061	−	0.00981846i
$966$	−8.82223	+	18.6777i	−0.283851	+	0.600944i
$967$	−7.13793	+	7.13793i	−0.229540	+	0.229540i	−0.812501	−	0.582960i	$-0.801894\pi$
$967$	−7.13793	+	7.13793i	−0.229540	+	0.229540i	0.582960	+	0.812501i	$0.301894\pi$
$968$	0.750556	+	0.750556i	0.0241238	+	0.0241238i
$969$	−3.41938	−	10.2033i	−0.109846	−	0.327776i
$970$	1.77569	−	0.475795i	0.0570140	−	0.0152769i
$971$			57.3868i			1.84163i	0.390001	+	0.920815i	$0.372475\pi$
$971$			57.3868i			1.84163i	−0.390001	+	0.920815i	$0.627525\pi$
$972$	−3.03173	−	9.53600i	−0.0972426	−	0.305867i
$973$	2.19410	+	7.55737i	0.0703395	+	0.242278i
$974$	22.1829			0.710785
$975$	16.7587	−	26.2423i	0.536707	−	0.840428i
$976$	−9.52228	+	16.4931i	−0.304801	+	0.527931i
$977$	15.0006	+	15.0006i	0.479910	+	0.479910i	0.905103	−	0.425193i	$-0.139794\pi$
$977$	15.0006	+	15.0006i	0.479910	+	0.479910i	−0.425193	+	0.905103i	$0.639794\pi$
$978$	−1.26008	−	20.4420i	−0.0402929	−	0.653664i
$979$	−17.7244	−	10.2332i	−0.566474	−	0.327054i
$980$	−0.508957	+	0.159289i	−0.0162580	+	0.00508831i
$981$	−18.9886	−	2.65020i	−0.606260	−	0.0846142i
$982$	−23.7775	−	23.7775i	−0.758770	−	0.758770i
$983$	2.93042	+	10.9365i	0.0934659	+	0.348820i	0.996782	−	0.0801552i	$-0.0255416\pi$
$983$	2.93042	+	10.9365i	0.0934659	+	0.348820i	−0.903316	+	0.428975i	$0.858875\pi$
$984$	28.1768	−	56.5814i	0.898242	−	1.80375i
$985$	−0.921292	−	0.531908i	−0.0293548	−	0.0169480i
$986$	−8.26874	−	2.21560i	−0.263330	−	0.0705592i
$987$	−29.6196	−	13.9906i	−0.942801	−	0.445324i
$988$	−8.40021	+	6.78050i	−0.267246	+	0.215716i
$989$	−2.78940	+	1.61046i	−0.0886977	+	0.0512096i
$990$	1.25536	−	0.508593i	0.0398980	−	0.0161641i
$991$	−36.4552			−1.15804			−0.579019	−	0.815314i	$-0.696564\pi$
$991$	−36.4552			−1.15804			−0.579019	+	0.815314i	$0.696564\pi$
$992$	−28.0060			−0.889192
$993$	30.0592	+	6.10068i	0.953901	+	0.193599i
$994$	12.1190	−	49.3000i	0.384390	−	1.56370i
$995$	−0.0643869	−	0.240295i	−0.00204120	−	0.00761787i
$996$	−1.41820	−	4.23183i	−0.0449372	−	0.134091i
$997$	−8.47449	−	14.6782i	−0.268390	−	0.464865i	0.700056	−	0.714087i	$-0.253158\pi$
$997$	−8.47449	−	14.6782i	−0.268390	−	0.464865i	−0.968446	+	0.249223i	$0.919825\pi$
$998$	17.8813			0.566022
$999$	9.28510	−	4.44510i	0.293768	−	0.140637i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bw.b.158.10	yes	128
3.2	odd	2	inner	273.2.bw.b.158.23	yes	128
7.2	even	3		273.2.bv.b.2.23	yes	128
13.7	odd	12		273.2.bv.b.137.10	yes	128
21.2	odd	6		273.2.bv.b.2.10	✓	128
39.20	even	12		273.2.bv.b.137.23	yes	128
91.72	odd	12	inner	273.2.bw.b.254.23	yes	128
273.254	even	12	inner	273.2.bw.b.254.10	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.10	✓	128	21.2	odd	6
273.2.bv.b.2.23	yes	128	7.2	even	3
273.2.bv.b.137.10	yes	128	13.7	odd	12
273.2.bv.b.137.23	yes	128	39.20	even	12
273.2.bw.b.158.10	yes	128	1.1	even	1	trivial
273.2.bw.b.158.23	yes	128	3.2	odd	2	inner
273.2.bw.b.254.10	yes	128	273.254	even	12	inner
273.2.bw.b.254.23	yes	128	91.72	odd	12	inner

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bw (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.12566 + 0.301621i) q^{2} +(-0.956672 - 1.44388i) q^{3} +(-0.555907 + 0.320953i) q^{4} +(-0.0307184 + 0.114643i) q^{5} +(1.51239 + 1.33677i) q^{6} +(-1.83159 + 1.90926i) q^{7} +(2.17704 - 2.17704i) q^{8} +(-1.16956 + 2.76263i) q^{9} +O(q^{10})\)	\(q+(-1.12566 + 0.301621i) q^{2} +(-0.956672 - 1.44388i) q^{3} +(-0.555907 + 0.320953i) q^{4} +(-0.0307184 + 0.114643i) q^{5} +(1.51239 + 1.33677i) q^{6} +(-1.83159 + 1.90926i) q^{7} +(2.17704 - 2.17704i) q^{8} +(-1.16956 + 2.76263i) q^{9} -0.138314i q^{10} +(2.30816 - 2.30816i) q^{11} +(0.995238 + 0.495614i) q^{12} +(2.91361 + 2.12388i) q^{13} +(1.48589 - 2.70163i) q^{14} +(0.194917 - 0.0653219i) q^{15} +(-1.15207 + 1.99545i) q^{16} +(0.665993 + 1.15353i) q^{17} +(0.483261 - 3.46256i) q^{18} +(3.29820 - 3.29820i) q^{19} +(-0.0197183 - 0.0735899i) q^{20} +(4.50897 + 0.818062i) q^{21} +(-1.90203 + 3.29441i) q^{22} +(1.93397 - 3.34974i) q^{23} +(-5.22610 - 1.06067i) q^{24} +(4.31793 + 2.49296i) q^{25} +(-3.92035 - 1.51196i) q^{26} +(5.10778 - 0.954237i) q^{27} +(0.405414 - 1.64923i) q^{28} +(4.77597 - 2.75741i) q^{29} +(-0.199709 + 0.132322i) q^{30} +(2.08744 + 7.79044i) q^{31} +(-0.898730 + 3.35411i) q^{32} +(-5.54086 - 1.12455i) q^{33} +(-1.09761 - 1.09761i) q^{34} +(-0.162619 - 0.268628i) q^{35} +(-0.236510 - 1.91114i) q^{36} +(1.91363 - 0.512755i) q^{37} +(-2.71786 + 4.70746i) q^{38} +(0.279242 - 6.23875i) q^{39} +(0.182707 + 0.316458i) q^{40} +(-3.06784 + 11.4493i) q^{41} +(-5.32232 + 0.439135i) q^{42} +(-0.721158 - 0.416361i) q^{43} +(-0.542312 + 2.02394i) q^{44} +(-0.280789 - 0.218945i) q^{45} +(-1.16665 + 4.35400i) q^{46} +(-6.90470 - 1.85011i) q^{47} +(3.98333 - 0.245539i) q^{48} +(-0.290527 - 6.99397i) q^{49} +(-5.61246 - 1.50385i) q^{50} +(1.02842 - 2.06516i) q^{51} +(-2.30136 - 0.245545i) q^{52} +(-5.67844 - 3.27845i) q^{53} +(-5.46183 + 2.61476i) q^{54} +(0.193711 + 0.335517i) q^{55} +(0.169076 + 8.14400i) q^{56} +(-7.91748 - 1.60689i) q^{57} +(-4.54445 + 4.54445i) q^{58} +(4.47475 + 1.19901i) q^{59} +(-0.0873907 + 0.0988722i) q^{60} +8.26536 q^{61} +(-4.69952 - 8.13980i) q^{62} +(-3.13242 - 7.29301i) q^{63} -8.65496i q^{64} +(-0.332989 + 0.268782i) q^{65} +(6.57633 - 0.405376i) q^{66} +(-0.646649 + 0.646649i) q^{67} +(-0.740461 - 0.427505i) q^{68} +(-6.68678 + 0.412184i) q^{69} +(0.264078 + 0.253336i) q^{70} +(15.9044 - 4.26157i) q^{71} +(3.46820 + 8.56055i) q^{72} +(-12.6146 + 3.38008i) q^{73} +(-1.99944 + 1.15438i) q^{74} +(-0.531320 - 8.61950i) q^{75} +(-0.774925 + 2.89206i) q^{76} +(0.179260 + 8.63450i) q^{77} +(1.56740 + 7.10696i) q^{78} +(1.52818 + 2.64689i) q^{79} +(-0.193374 - 0.193374i) q^{80} +(-6.26427 - 6.46211i) q^{81} -13.8134i q^{82} +(-2.83853 - 2.83853i) q^{83} +(-2.76913 + 0.992401i) q^{84} +(-0.152702 + 0.0409165i) q^{85} +(0.937364 + 0.251166i) q^{86} +(-8.55040 - 4.25798i) q^{87} -10.0500i q^{88} +(-1.62276 - 6.05624i) q^{89} +(0.382112 + 0.161767i) q^{90} +(-9.39159 + 1.67276i) q^{91} +2.48286i q^{92} +(9.25143 - 10.4669i) q^{93} +8.33040 q^{94} +(0.276799 + 0.479429i) q^{95} +(5.70270 - 1.91112i) q^{96} +(3.43995 + 12.8381i) q^{97} +(2.43656 + 7.78523i) q^{98} +(3.67708 + 9.07614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9}+O(q^{10}) \) 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9	\( 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9} - 48 q^{12} - 16 q^{13} - 6 q^{15} + 32 q^{16} + 22 q^{18} - 16 q^{19} - 18 q^{21} - 8 q^{22} - 4 q^{24} - 40 q^{27} - 76 q^{28} - 4 q^{31} + 50 q^{33} - 48 q^{34} - 60 q^{36} + 28 q^{37} + 40 q^{39} + 44 q^{40} + 44 q^{42} - 144 q^{43} + 58 q^{45} + 48 q^{46} - 64 q^{48} + 24 q^{49} + 36 q^{51} - 22 q^{54} - 16 q^{55} + 40 q^{57} - 28 q^{58} - 4 q^{60} - 40 q^{61} + 20 q^{63} - 34 q^{66} + 96 q^{67} - 54 q^{69} + 64 q^{70} - 98 q^{72} + 48 q^{73} - 12 q^{75} + 144 q^{76} + 82 q^{78} - 24 q^{79} - 48 q^{81} + 4 q^{84} + 56 q^{85} - 2 q^{87} - 24 q^{91} + 10 q^{93} + 32 q^{94} - 54 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9 - 48 * q^12 - 16 * q^13 - 6 * q^15 + 32 * q^16 + 22 * q^18 - 16 * q^19 - 18 * q^21 - 8 * q^22 - 4 * q^24 - 40 * q^27 - 76 * q^28 - 4 * q^31 + 50 * q^33 - 48 * q^34 - 60 * q^36 + 28 * q^37 + 40 * q^39 + 44 * q^40 + 44 * q^42 - 144 * q^43 + 58 * q^45 + 48 * q^46 - 64 * q^48 + 24 * q^49 + 36 * q^51 - 22 * q^54 - 16 * q^55 + 40 * q^57 - 28 * q^58 - 4 * q^60 - 40 * q^61 + 20 * q^63 - 34 * q^66 + 96 * q^67 - 54 * q^69 + 64 * q^70 - 98 * q^72 + 48 * q^73 - 12 * q^75 + 144 * q^76 + 82 * q^78 - 24 * q^79 - 48 * q^81 + 4 * q^84 + 56 * q^85 - 2 * q^87 - 24 * q^91 + 10 * q^93 + 32 * q^94 - 54 * q^96 + 52 * q^97 - 10 * q^99

Introduction

L-functions

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