LMFDB - Embedded newform 273.2.bz.a.187.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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([0, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (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:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			187.1
Character	$\chi$	$=$	273.187
Dual form			273.2.bz.a.73.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.566824 - 2.11542i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-2.42164 + 1.39814i) q^{4} +(0.631372 - 0.169176i) q^{5} +(-1.54859 - 1.54859i) q^{6} +(1.92845 - 1.81137i) q^{7} +(1.23310 + 1.23310i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.566824 - 2.11542i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-2.42164 + 1.39814i) q^{4} +(0.631372 - 0.169176i) q^{5} +(-1.54859 - 1.54859i) q^{6} +(1.92845 - 1.81137i) q^{7} +(1.23310 + 1.23310i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.715753 - 1.23972i) q^{10} +(0.659241 - 2.46032i) q^{11} +(-1.39814 + 2.42164i) q^{12} +(-1.72632 + 3.16541i) q^{13} +(-4.92490 - 3.05275i) q^{14} +(0.462196 - 0.462196i) q^{15} +(-0.886704 + 1.53582i) q^{16} +(-2.99130 - 5.18109i) q^{17} +(-2.11542 - 0.566824i) q^{18} +(1.70449 - 0.456716i) q^{19} +(-1.29243 + 1.29243i) q^{20} +(0.764403 - 2.53292i) q^{21} -5.57827 q^{22} +(4.55977 + 2.63259i) q^{23} +(1.68444 + 0.451346i) q^{24} +(-3.96012 + 2.28637i) q^{25} +(7.67468 + 1.85765i) q^{26} -1.00000i q^{27} +(-2.13748 + 7.08273i) q^{28} -0.0763835 q^{29} +(-1.23972 - 0.715753i) q^{30} +(-2.04058 + 7.61556i) q^{31} +(7.12039 + 1.90790i) q^{32} +(-0.659241 - 2.46032i) q^{33} +(-9.26461 + 9.26461i) q^{34} +(0.911131 - 1.46990i) q^{35} +2.79627i q^{36} +(10.6873 - 2.86365i) q^{37} +(-1.93229 - 3.34682i) q^{38} +(0.0876680 + 3.60449i) q^{39} +(0.987154 + 0.569934i) q^{40} +(-1.05558 - 1.05558i) q^{41} +(-5.79146 - 0.181311i) q^{42} +0.901426i q^{43} +(1.84342 + 6.87972i) q^{44} +(0.169176 - 0.631372i) q^{45} +(2.98443 - 11.1380i) q^{46} +(0.875544 + 3.26758i) q^{47} +1.77341i q^{48} +(0.437863 - 6.98629i) q^{49} +(7.08132 + 7.08132i) q^{50} +(-5.18109 - 2.99130i) q^{51} +(-0.245144 - 10.0791i) q^{52} +(0.696069 + 1.20563i) q^{53} +(-2.11542 + 0.566824i) q^{54} -1.66490i q^{55} +(4.61158 + 0.144373i) q^{56} +(1.24777 - 1.24777i) q^{57} +(0.0432960 + 0.161583i) q^{58} +(-5.09918 - 1.36632i) q^{59} +(-0.473061 + 1.76549i) q^{60} +(2.64864 + 1.52919i) q^{61} +17.2667 q^{62} +(-0.604468 - 2.57578i) q^{63} -12.5972i q^{64} +(-0.554440 + 2.29060i) q^{65} +(-4.83093 + 2.78914i) q^{66} +(-3.51049 - 0.940634i) q^{67} +(14.4877 + 8.36449i) q^{68} +5.26517 q^{69} +(-3.62589 - 1.09425i) q^{70} +(4.48225 - 4.48225i) q^{71} +(1.68444 - 0.451346i) q^{72} +(14.9605 + 4.00866i) q^{73} +(-12.1156 - 20.9849i) q^{74} +(-2.28637 + 3.96012i) q^{75} +(-3.48911 + 3.48911i) q^{76} +(-3.18524 - 5.93874i) q^{77} +(7.57529 - 2.22856i) q^{78} +(5.60217 - 9.70324i) q^{79} +(-0.300017 + 1.11968i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-1.63466 + 2.83131i) q^{82} +(6.20423 + 6.20423i) q^{83} +(1.69026 + 7.20257i) q^{84} +(-2.76514 - 2.76514i) q^{85} +(1.90689 - 0.510949i) q^{86} +(-0.0661501 + 0.0381918i) q^{87} +(3.84673 - 2.22091i) q^{88} +(2.39127 + 8.92433i) q^{89} -1.43151 q^{90} +(2.40461 + 9.23135i) q^{91} -14.7229 q^{92} +(2.04058 + 7.61556i) q^{93} +(6.41600 - 3.70428i) q^{94} +(0.998900 - 0.576715i) q^{95} +(7.12039 - 1.90790i) q^{96} +(6.89422 + 6.89422i) q^{97} +(-15.0271 + 3.03374i) q^{98} +(-1.80108 - 1.80108i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q - 6 * q^7 + 18 * q^9	$ 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.566824	−	2.11542i	−0.400805	−	1.49582i	−0.811663	−	0.584125i	$-0.801438\pi$
$2$	−0.566824	−	2.11542i	−0.400805	−	1.49582i	0.410858	−	0.911699i	$-0.365229\pi$
$3$	0.866025	−	0.500000i	0.500000	−	0.288675i
$3$	0.866025	−	0.500000i	0.500000	−	0.288675i
$4$	−2.42164	+	1.39814i	−1.21082	+	0.699068i
$5$	0.631372	−	0.169176i	0.282358	−	0.0756576i	−0.114861	−	0.993382i	$-0.536642\pi$
$5$	0.631372	−	0.169176i	0.282358	−	0.0756576i	0.397219	+	0.917724i	$0.369975\pi$
$6$	−1.54859	−	1.54859i	−0.632210	−	0.632210i
$7$	1.92845	−	1.81137i	0.728887	−	0.684634i
$7$	1.92845	−	1.81137i	0.728887	−	0.684634i
$8$	1.23310	+	1.23310i	0.435966	+	0.435966i
$9$	0.500000	−	0.866025i	0.166667	−	0.288675i
$10$	−0.715753	−	1.23972i	−0.226341	−	0.392034i
$11$	0.659241	−	2.46032i	0.198769	−	0.741815i	−0.792490	−	0.609884i	$-0.791216\pi$
$11$	0.659241	−	2.46032i	0.198769	−	0.741815i	0.991259	−	0.131930i	$-0.0421175\pi$
$12$	−1.39814	+	2.42164i	−0.403607	+	0.699068i
$13$	−1.72632	+	3.16541i	−0.478795	+	0.877927i
$13$	−1.72632	+	3.16541i	−0.478795	+	0.877927i
$14$	−4.92490	−	3.05275i	−1.31623	−	0.815882i
$15$	0.462196	−	0.462196i	0.119339	−	0.119339i
$16$	−0.886704	+	1.53582i	−0.221676	+	0.383954i
$17$	−2.99130	−	5.18109i	−0.725497	−	1.25660i	−0.958769	−	0.284186i	$-0.908277\pi$
$17$	−2.99130	−	5.18109i	−0.725497	−	1.25660i	0.233272	−	0.972412i	$-0.425057\pi$
$18$	−2.11542	−	0.566824i	−0.498608	−	0.133602i
$19$	1.70449	−	0.456716i	0.391036	−	0.104778i	−0.0579434	−	0.998320i	$-0.518454\pi$
$19$	1.70449	−	0.456716i	0.391036	−	0.104778i	0.448980	+	0.893542i	$0.351788\pi$
$20$	−1.29243	+	1.29243i	−0.288995	+	0.288995i
$21$	0.764403	−	2.53292i	0.166806	−	0.552729i
$22$	−5.57827			−1.18929
$23$	4.55977	+	2.63259i	0.950779	+	0.548932i	0.893323	−	0.449416i	$-0.148368\pi$
$23$	4.55977	+	2.63259i	0.950779	+	0.548932i	0.0574559	+	0.998348i	$0.481701\pi$
$24$	1.68444	+	0.451346i	0.343836	+	0.0921305i
$25$	−3.96012	+	2.28637i	−0.792023	+	0.457275i
$26$	7.67468	+	1.85765i	1.50513	+	0.364316i
$27$		−	1.00000i		−	0.192450i
$28$	−2.13748	+	7.08273i	−0.403946	+	1.33851i
$29$	−0.0763835			−0.0141841			−0.00709203	−	0.999975i	$-0.502257\pi$
$29$	−0.0763835			−0.0141841			−0.00709203	+	0.999975i	$0.502257\pi$
$30$	−1.23972	−	0.715753i	−0.226341	−	0.130678i
$31$	−2.04058	+	7.61556i	−0.366500	+	1.36780i	0.498877	+	0.866673i	$0.333746\pi$
$31$	−2.04058	+	7.61556i	−0.366500	+	1.36780i	−0.865377	+	0.501122i	$0.832921\pi$
$32$	7.12039	+	1.90790i	1.25872	+	0.337273i
$33$	−0.659241	−	2.46032i	−0.114759	−	0.428287i
$34$	−9.26461	+	9.26461i	−1.58887	+	1.58887i
$35$	0.911131	−	1.46990i	0.154009	−	0.248458i
$36$			2.79627i			0.466045i
$37$	10.6873	−	2.86365i	1.75698	−	0.470781i	0.770885	−	0.636974i	$-0.219814\pi$
$37$	10.6873	−	2.86365i	1.75698	−	0.470781i	0.986093	+	0.166193i	$0.0531476\pi$
$38$	−1.93229	−	3.34682i	−0.313458	−	0.542926i
$39$	0.0876680	+	3.60449i	0.0140381	+	0.577180i
$40$	0.987154	+	0.569934i	0.156083	+	0.0901144i
$41$	−1.05558	−	1.05558i	−0.164853	−	0.164853i	0.619860	−	0.784713i	$-0.287190\pi$
$41$	−1.05558	−	1.05558i	−0.164853	−	0.164853i	−0.784713	+	0.619860i	$0.787190\pi$
$42$	−5.79146	−	0.181311i	−0.893642	−	0.0279768i
$43$			0.901426i			0.137466i	0.997635	+	0.0687331i	$0.0218957\pi$
$43$			0.901426i			0.137466i	−0.997635	+	0.0687331i	$0.978104\pi$
$44$	1.84342	+	6.87972i	0.277905	+	1.03716i
$45$	0.169176	−	0.631372i	0.0252192	−	0.0941193i
$46$	2.98443	−	11.1380i	0.440030	−	1.64221i
$47$	0.875544	+	3.26758i	0.127711	+	0.476625i	0.999922	−	0.0125057i	$-0.00398078\pi$
$47$	0.875544	+	3.26758i	0.127711	+	0.476625i	−0.872211	+	0.489131i	$0.837314\pi$
$48$			1.77341i			0.255970i
$49$	0.437863	−	6.98629i	0.0625518	−	0.998042i
$50$	7.08132	+	7.08132i	1.00145	+	1.00145i
$51$	−5.18109	−	2.99130i	−0.725497	−	0.418866i
$52$	−0.245144	−	10.0791i	−0.0339953	−	1.39772i
$53$	0.696069	+	1.20563i	0.0956124	+	0.165606i	0.909864	−	0.414907i	$-0.136186\pi$
$53$	0.696069	+	1.20563i	0.0956124	+	0.165606i	−0.814252	+	0.580512i	$0.802852\pi$
$54$	−2.11542	+	0.566824i	−0.287872	+	0.0771350i
$55$		−	1.66490i		−	0.224496i
$56$	4.61158	+	0.144373i	0.616248	+	0.0192926i
$57$	1.24777	−	1.24777i	0.165271	−	0.165271i
$58$	0.0432960	+	0.161583i	0.00568504	+	0.0212169i
$59$	−5.09918	−	1.36632i	−0.663857	−	0.177880i	−0.0888707	−	0.996043i	$-0.528326\pi$
$59$	−5.09918	−	1.36632i	−0.663857	−	0.177880i	−0.574986	+	0.818163i	$0.694992\pi$
$60$	−0.473061	+	1.76549i	−0.0610719	+	0.227923i
$61$	2.64864	+	1.52919i	0.339124	+	0.195793i	0.659884	−	0.751367i	$-0.270605\pi$
$61$	2.64864	+	1.52919i	0.339124	+	0.195793i	−0.320761	+	0.947160i	$0.603939\pi$
$62$	17.2667			2.19288
$63$	−0.604468	−	2.57578i	−0.0761558	−	0.324517i
$64$		−	12.5972i		−	1.57465i
$65$	−0.554440	+	2.29060i	−0.0687698	+	0.284114i
$66$	−4.83093	+	2.78914i	−0.594646	+	0.343319i
$67$	−3.51049	−	0.940634i	−0.428875	−	0.114917i	0.0379229	−	0.999281i	$-0.487926\pi$
$67$	−3.51049	−	0.940634i	−0.428875	−	0.114917i	−0.466798	+	0.884364i	$0.654593\pi$
$68$	14.4877	+	8.36449i	1.75689	+	1.01434i
$69$	5.26517			0.633852
$70$	−3.62589	−	1.09425i	−0.433377	−	0.130788i
$71$	4.48225	−	4.48225i	0.531946	−	0.531946i	−0.389205	−	0.921151i	$-0.627250\pi$
$71$	4.48225	−	4.48225i	0.531946	−	0.531946i	0.921151	+	0.389205i	$0.127250\pi$
$72$	1.68444	−	0.451346i	0.198514	−	0.0531916i
$73$	14.9605	+	4.00866i	1.75100	+	0.469178i	0.984839	−	0.173474i	$-0.0554992\pi$
$73$	14.9605	+	4.00866i	1.75100	+	0.469178i	0.766158	+	0.642652i	$0.222166\pi$
$74$	−12.1156	−	20.9849i	−1.40841	−	2.43944i
$75$	−2.28637	+	3.96012i	−0.264008	+	0.457275i
$76$	−3.48911	+	3.48911i	−0.400228	+	0.400228i
$77$	−3.18524	−	5.93874i	−0.362992	−	0.676783i
$78$	7.57529	−	2.22856i	0.857733	−	0.252335i
$79$	5.60217	−	9.70324i	0.630293	−	1.09170i	−0.357198	−	0.934029i	$-0.616268\pi$
$79$	5.60217	−	9.70324i	0.630293	−	1.09170i	0.987492	−	0.157671i	$-0.0503987\pi$
$80$	−0.300017	+	1.11968i	−0.0335430	+	0.125184i
$81$	−0.500000	−	0.866025i	−0.0555556	−	0.0962250i
$82$	−1.63466	+	2.83131i	−0.180518	+	0.312666i
$83$	6.20423	+	6.20423i	0.681002	+	0.681002i	0.960226	−	0.279224i	$-0.0900771\pi$
$83$	6.20423	+	6.20423i	0.681002	+	0.681002i	−0.279224	+	0.960226i	$0.590077\pi$
$84$	1.69026	+	7.20257i	0.184422	+	0.785865i
$85$	−2.76514	−	2.76514i	−0.299921	−	0.299921i
$86$	1.90689	−	0.510949i	0.205625	−	0.0550971i
$87$	−0.0661501	+	0.0381918i	−0.00709203	+	0.00409459i
$88$	3.84673	−	2.22091i	0.410063	−	0.236750i
$89$	2.39127	+	8.92433i	0.253474	+	0.945977i	0.968933	+	0.247323i	$0.0795508\pi$
$89$	2.39127	+	8.92433i	0.253474	+	0.945977i	−0.715459	+	0.698654i	$0.753783\pi$
$90$	−1.43151			−0.150894
$91$	2.40461	+	9.23135i	0.252071	+	0.967709i
$92$	−14.7229			−1.53496
$93$	2.04058	+	7.61556i	0.211599	+	0.789697i
$94$	6.41600	−	3.70428i	0.661760	−	0.382067i
$95$	0.998900	−	0.576715i	0.102485	−	0.0591697i
$96$	7.12039	−	1.90790i	0.726721	−	0.194724i
$97$	6.89422	+	6.89422i	0.700002	+	0.700002i	0.964411	−	0.264409i	$-0.0851769\pi$
$97$	6.89422	+	6.89422i	0.700002	+	0.700002i	−0.264409	+	0.964411i	$0.585177\pi$
$98$	−15.0271	+	3.03374i	−1.51797	+	0.306454i
$99$	−1.80108	−	1.80108i	−0.181015	−	0.181015i
$100$	6.39332	−	11.0736i	0.639332	−	1.10736i
$101$	−3.07469	−	5.32552i	−0.305943	−	0.529909i	0.671528	−	0.740979i	$-0.265638\pi$
$101$	−3.07469	−	5.32552i	−0.305943	−	0.529909i	−0.977471	+	0.211070i	$0.932305\pi$
$102$	−3.39108	+	12.6557i	−0.335767	+	1.25310i
$103$	−8.10374	+	14.0361i	−0.798485	+	1.38302i	0.122118	+	0.992516i	$0.461031\pi$
$103$	−8.10374	+	14.0361i	−0.798485	+	1.38302i	−0.920603	+	0.390501i	$0.872302\pi$
$104$	−6.03199	+	1.77454i	−0.591485	+	0.174008i
$105$	0.0541144	−	1.72853i	0.00528103	−	0.168688i
$106$	2.15585	−	2.15585i	0.209395	−	0.209395i
$107$	−8.76076	+	15.1741i	−0.846935	+	1.46693i	0.0369960	+	0.999315i	$0.488221\pi$
$107$	−8.76076	+	15.1741i	−0.846935	+	1.46693i	−0.883931	+	0.467618i	$0.845112\pi$
$108$	1.39814	+	2.42164i	0.134536	+	0.233023i
$109$	−14.4056	−	3.85998i	−1.37981	−	0.369719i	−0.508758	−	0.860909i	$-0.669895\pi$
$109$	−14.4056	−	3.85998i	−1.37981	−	0.369719i	−0.871052	+	0.491190i	$0.836562\pi$
$110$	−3.52196	+	0.943707i	−0.335806	+	0.0899790i
$111$	7.82363	−	7.82363i	0.742586	−	0.742586i
$112$	1.07197	+	4.56790i	0.101291	+	0.431626i
$113$	−0.944250			−0.0888276			−0.0444138	−	0.999013i	$-0.514142\pi$
$113$	−0.944250			−0.0888276			−0.0444138	+	0.999013i	$0.514142\pi$
$114$	−3.34682	−	1.93229i	−0.313458	−	0.180975i
$115$	3.32428	+	0.890739i	0.309991	+	0.0830618i
$116$	0.184974	−	0.106795i	0.0171744	−	0.00991562i
$117$	1.87817	+	3.07774i	0.173636	+	0.284537i
$118$			11.5613i			1.06431i
$119$	−15.1535	−	4.57312i	−1.38912	−	0.419217i
$120$	1.13987			0.104055
$121$	3.90770	+	2.25611i	0.355246	+	0.205101i
$122$	1.73357	−	6.46976i	0.156950	−	0.585744i
$123$	−1.44194	−	0.386368i	−0.130016	−	0.0348376i
$124$	−5.70602	−	21.2952i	−0.512416	−	1.91236i
$125$	−4.42449	+	4.42449i	−0.395738	+	0.395738i
$126$	−5.10621	+	2.73871i	−0.454897	+	0.243984i
$127$		−	15.9116i		−	1.41192i	−0.708250	−	0.705962i	$-0.750515\pi$
$127$		−	15.9116i		−	1.41192i	0.708250	−	0.705962i	$-0.249485\pi$
$128$	−12.4075	+	3.32459i	−1.09668	+	0.293855i
$129$	0.450713	+	0.780657i	0.0396830	+	0.0687331i
$130$	5.15984	−	0.125497i	0.452548	−	0.0110068i
$131$	−12.6166	−	7.28421i	−1.10232	−	0.636424i	−0.165490	−	0.986212i	$-0.552920\pi$
$131$	−12.6166	−	7.28421i	−1.10232	−	0.636424i	−0.936829	+	0.349787i	$0.886254\pi$
$132$	5.03631	+	5.03631i	0.438354	+	0.438354i
$133$	2.45974	−	3.96822i	0.213287	−	0.344088i
$134$			7.95933i			0.687581i
$135$	−0.169176	−	0.631372i	−0.0145603	−	0.0543398i
$136$	2.70022	−	10.0774i	0.231542	−	0.864127i
$137$	0.352195	−	1.31441i	0.0300900	−	0.112297i	−0.949247	−	0.314530i	$-0.898153\pi$
$137$	0.352195	−	1.31441i	0.0300900	−	0.112297i	0.979338	+	0.202233i	$0.0648197\pi$
$138$	−2.98443	−	11.1380i	−0.254051	−	0.948132i
$139$			10.4193i			0.883752i	0.897076	+	0.441876i	$0.145687\pi$
$139$			10.4193i			0.883752i	−0.897076	+	0.441876i	$0.854313\pi$
$140$	−0.151319	+	4.83345i	−0.0127888	+	0.408501i
$141$	2.39203	+	2.39203i	0.201445	+	0.201445i
$142$	−12.0225	−	6.94118i	−1.00890	−	0.582491i
$143$	6.64986	+	6.33407i	0.556089	+	0.529681i
$144$	0.886704	+	1.53582i	0.0738920	+	0.127985i
$145$	−0.0482264	+	0.0129222i	−0.00400498	+	0.00107313i
$146$		−	33.9199i		−	2.80723i
$147$	−3.11395	−	6.26924i	−0.256834	−	0.517078i
$148$	−21.8770	+	21.8770i	−1.79828	+	1.79828i
$149$	1.17141	+	4.37174i	0.0959653	+	0.358147i	0.997164	−	0.0752588i	$-0.0239783\pi$
$149$	1.17141	+	4.37174i	0.0959653	+	0.358147i	−0.901199	+	0.433406i	$0.857312\pi$
$150$	9.67326	+	2.59194i	0.789819	+	0.211631i
$151$	−1.12463	+	4.19719i	−0.0915214	+	0.341563i	−0.996469	−	0.0839602i	$-0.973243\pi$
$151$	−1.12463	+	4.19719i	−0.0915214	+	0.341563i	0.904948	+	0.425523i	$0.139910\pi$
$152$	2.66498	+	1.53863i	0.216158	+	0.124799i
$153$	−5.98260			−0.483665
$154$	−10.7574	+	10.1043i	−0.866859	+	0.814230i
$155$			5.15347i			0.413936i
$156$	−5.25186	−	8.60620i	−0.420485	−	0.689048i
$157$	−4.21329	+	2.43255i	−0.336257	+	0.194138i	−0.658616	−	0.752479i	$-0.728858\pi$
$157$	−4.21329	+	2.43255i	−0.336257	+	0.194138i	0.322358	+	0.946618i	$0.395524\pi$
$158$	−23.7018	−	6.35089i	−1.88562	−	0.505249i
$159$	1.20563	+	0.696069i	0.0956124	+	0.0552019i
$160$	4.81838			0.380926
$161$	13.5619	−	3.18263i	1.06883	−	0.250826i
$162$	−1.54859	+	1.54859i	−0.121669	+	0.121669i
$163$	−0.288424	+	0.0772829i	−0.0225911	+	0.00605326i	−0.270097	−	0.962833i	$-0.587056\pi$
$163$	−0.288424	+	0.0772829i	−0.0225911	+	0.00605326i	0.247506	+	0.968886i	$0.420389\pi$
$164$	4.03206	+	1.08039i	0.314851	+	0.0843642i
$165$	−0.832452	−	1.44185i	−0.0648063	−	0.112248i
$166$	9.60781	−	16.6412i	0.745711	−	1.29161i
$167$	−7.94164	+	7.94164i	−0.614543	+	0.614543i	−0.944126	−	0.329584i	$-0.893092\pi$
$167$	−7.94164	+	7.94164i	−0.614543	+	0.614543i	0.329584	+	0.944126i	$0.393092\pi$
$168$	4.06593	−	2.18076i	0.313693	−	0.168249i
$169$	−7.03964	−	10.9290i	−0.541511	−	0.840694i
$170$	−4.28207	+	7.41676i	−0.328420	+	0.568839i
$171$	0.456716	−	1.70449i	0.0349259	−	0.130345i
$172$	−1.26032	−	2.18293i	−0.0960981	−	0.166447i
$173$	−4.93150	+	8.54161i	−0.374935	+	0.649407i	−0.990317	−	0.138822i	$-0.955668\pi$
$173$	−4.93150	+	8.54161i	−0.374935	+	0.649407i	0.615382	+	0.788229i	$0.289002\pi$
$174$	0.118287	+	0.118287i	0.00896730	+	0.00896730i
$175$	−3.49542	+	11.5824i	−0.264229	+	0.875548i
$176$	3.19405	+	3.19405i	0.240761	+	0.240761i
$177$	−5.09918	+	1.36632i	−0.383278	+	0.102699i
$178$	17.5232	−	10.1170i	1.31342	−	0.758305i
$179$	−20.7836	+	11.9994i	−1.55344	+	0.896880i	−0.555584	+	0.831460i	$0.687505\pi$
$179$	−20.7836	+	11.9994i	−1.55344	+	0.896880i	−0.997858	+	0.0654199i	$0.979161\pi$
$180$	0.473061	+	1.76549i	0.0352599	+	0.131592i
$181$	6.83963			0.508386			0.254193	−	0.967154i	$-0.418190\pi$
$181$	6.83963			0.508386			0.254193	+	0.967154i	$0.418190\pi$
$182$	18.1652	−	10.3193i	1.34649	−	0.764917i
$183$	3.05839			0.226082
$184$	2.37641	+	8.86889i	0.175192	+	0.653824i
$185$	6.26319	−	3.61605i	0.460479	−	0.265858i
$186$	14.9534	−	8.63336i	1.09644	−	0.633029i
$187$	−14.7191	+	3.94398i	−1.07637	+	0.288412i
$188$	−6.68877	−	6.68877i	−0.487829	−	0.487829i
$189$	−1.81137	−	1.92845i	−0.131758	−	0.140274i
$190$	−1.78619	−	1.78619i	−0.129584	−	0.129584i
$191$	1.45631	−	2.52239i	0.105375	−	0.182514i	−0.808517	−	0.588473i	$-0.799729\pi$
$191$	1.45631	−	2.52239i	0.105375	−	0.182514i	0.913891	+	0.405959i	$0.133063\pi$
$192$	−6.29860	−	10.9095i	−0.454562	−	0.787325i
$193$	1.70763	−	6.37298i	0.122918	−	0.458737i	−0.876839	−	0.480785i	$-0.840352\pi$
$193$	1.70763	−	6.37298i	0.122918	−	0.458737i	0.999757	+	0.0220476i	$0.00701854\pi$
$194$	10.6763	−	18.4919i	0.766515	−	1.32764i
$195$	0.665142	+	2.26094i	0.0476318	+	0.161909i
$196$	8.70744	+	17.5305i	0.621960	+	1.25218i
$197$	16.8890	−	16.8890i	1.20329	−	1.20329i	0.230132	−	0.973160i	$-0.426084\pi$
$197$	16.8890	−	16.8890i	1.20329	−	1.20329i	0.973160	−	0.230132i	$-0.0739156\pi$
$198$	−2.78914	+	4.83093i	−0.198215	+	0.343319i
$199$	−0.402906	−	0.697854i	−0.0285612	−	0.0494695i	0.851391	−	0.524531i	$-0.175759\pi$
$199$	−0.402906	−	0.697854i	−0.0285612	−	0.0494695i	−0.879953	+	0.475061i	$0.842426\pi$
$200$	−7.70254	−	2.06389i	−0.544652	−	0.145939i
$201$	−3.51049	+	0.940634i	−0.247611	+	0.0663472i
$202$	−9.52288	+	9.52288i	−0.670028	+	0.670028i
$203$	−0.147302	+	0.138359i	−0.0103386	+	0.00971089i
$204$	16.7290			1.17126
$205$	−0.845038	−	0.487883i	−0.0590200	−	0.0340752i
$206$	34.2855	+	9.18678i	2.38879	+	0.640073i
$207$	4.55977	−	2.63259i	0.316926	−	0.182977i
$208$	−3.33076	−	5.45809i	−0.230946	−	0.378451i
$209$		−	4.49467i		−	0.310903i
$210$	−3.68724	+	0.865299i	−0.254444	+	0.0597113i
$211$	17.5503			1.20821			0.604106	−	0.796904i	$-0.293531\pi$
$211$	17.5503			1.20821			0.604106	+	0.796904i	$0.293531\pi$
$212$	−3.37126	−	1.94640i	−0.231539	−	0.133679i
$213$	1.64062	−	6.12287i	0.112413	−	0.419532i
$214$	37.0653	+	9.93161i	2.53373	+	0.678911i
$215$	0.152499	+	0.569135i	0.0104004	+	0.0388147i
$216$	1.23310	−	1.23310i	0.0839018	−	0.0839018i
$217$	9.85944	+	18.3825i	0.669303	+	1.24789i
$218$			32.6619i			2.21214i
$219$	14.9605	−	4.00866i	1.01094	−	0.270880i
$220$	2.32776	+	4.03180i	0.156938	+	0.271824i
$221$	21.5642	−	0.524483i	1.45057	−	0.0352805i
$222$	−20.9849	−	12.1156i	−1.40841	−	0.813147i
$223$	−2.56243	−	2.56243i	−0.171593	−	0.171593i	0.616086	−	0.787679i	$-0.288717\pi$
$223$	−2.56243	−	2.56243i	−0.171593	−	0.171593i	−0.787679	+	0.616086i	$0.788717\pi$
$224$	17.1873	−	9.21837i	1.14837	−	0.615928i
$225$			4.57275i			0.304850i
$226$	0.535223	+	1.99748i	0.0356025	+	0.132870i
$227$	−3.36001	+	12.5397i	−0.223011	+	0.832290i	0.760180	+	0.649712i	$0.225111\pi$
$227$	−3.36001	+	12.5397i	−0.223011	+	0.832290i	−0.983191	+	0.182577i	$0.941556\pi$
$228$	−1.27710	+	4.76621i	−0.0845781	+	0.315650i
$229$	−3.00815	−	11.2266i	−0.198784	−	0.741872i	−0.991255	−	0.131962i	$-0.957872\pi$
$229$	−3.00815	−	11.2266i	−0.198784	−	0.741872i	0.792471	−	0.609910i	$-0.208794\pi$
$230$		−	7.53713i		−	0.496984i
$231$	−5.72787	−	3.55048i	−0.376866	−	0.233605i
$232$	−0.0941884	−	0.0941884i	−0.00618377	−	0.00618377i
$233$	−22.4370	−	12.9540i	−1.46990	−	0.848645i	−0.470467	−	0.882418i	$-0.655914\pi$
$233$	−22.4370	−	12.9540i	−1.46990	−	0.848645i	−0.999430	+	0.0337727i	$0.989248\pi$
$234$	5.44611	−	5.71764i	0.356024	−	0.373774i
$235$	1.10559	+	1.91493i	0.0721206	+	0.124917i
$236$	14.2587	−	3.82060i	0.928162	−	0.248700i
$237$		−	11.2043i		−	0.727800i
$238$	−1.08471	+	34.6480i	−0.0703113	+	2.24590i
$239$	−10.8915	+	10.8915i	−0.704511	+	0.704511i	−0.965375	−	0.260864i	$-0.915992\pi$
$239$	−10.8915	+	10.8915i	−0.704511	+	0.704511i	0.260864	+	0.965375i	$0.415992\pi$
$240$	0.300017	+	1.11968i	0.0193660	+	0.0722751i
$241$	−11.2755	−	3.02126i	−0.726318	−	0.194616i	−0.123329	−	0.992366i	$-0.539357\pi$
$241$	−11.2755	−	3.02126i	−0.726318	−	0.194616i	−0.602989	+	0.797749i	$0.706024\pi$
$242$	2.55764	−	9.54523i	0.164411	−	0.613591i
$243$	−0.866025	−	0.500000i	−0.0555556	−	0.0320750i
$244$	−8.55208			−0.547491
$245$	−0.905456	−	4.48502i	−0.0578474	−	0.286538i
$246$			3.26931i			0.208444i
$247$	−1.49680	+	6.18384i	−0.0952389	+	0.393468i
$248$	−11.9070	+	6.87450i	−0.756094	+	0.436531i
$249$	8.47513	+	2.27090i	0.537090	+	0.143913i
$250$	11.8675	+	6.85173i	0.750569	+	0.433341i
$251$	−3.55707			−0.224520			−0.112260	−	0.993679i	$-0.535809\pi$
$251$	−3.55707			−0.224520			−0.112260	+	0.993679i	$0.535809\pi$
$252$	5.06509	+	5.39248i	0.319071	+	0.339694i
$253$	9.48300	−	9.48300i	0.596191	−	0.596191i
$254$	−33.6596	+	9.01906i	−2.11199	+	0.565906i
$255$	−3.77725	−	1.01211i	−0.236540	−	0.0633808i
$256$	1.46858	+	2.54365i	0.0917861	+	0.158978i
$257$	7.55184	−	13.0802i	0.471071	−	0.815918i	−0.528382	−	0.849007i	$-0.677201\pi$
$257$	7.55184	−	13.0802i	0.471071	−	0.815918i	0.999452	+	0.0330886i	$0.0105343\pi$
$258$	1.39594	−	1.39594i	0.0869074	−	0.0869074i
$259$	15.4228	−	24.8811i	0.958325	−	1.54603i
$260$	−1.85992	−	6.32220i	−0.115347	−	0.392086i
$261$	−0.0381918	+	0.0661501i	−0.00236401	+	0.00409459i
$262$	−8.25772	+	30.8182i	−0.510164	+	1.90396i
$263$	−11.0113	−	19.0721i	−0.678984	−	1.17604i	−0.975287	−	0.220941i	$-0.929087\pi$
$263$	−11.0113	−	19.0721i	−0.678984	−	1.17604i	0.296303	−	0.955094i	$-0.404246\pi$
$264$	2.22091	−	3.84673i	0.136688	−	0.236750i
$265$	0.643441	+	0.643441i	0.0395263	+	0.0395263i
$266$	−9.78866	−	2.95409i	−0.600181	−	0.181127i
$267$	6.53306	+	6.53306i	0.399817	+	0.399817i
$268$	9.81630	−	2.63027i	0.599626	−	0.160669i
$269$	−26.0922	+	15.0643i	−1.59087	+	0.918488i	−0.597709	+	0.801713i	$0.703922\pi$
$269$	−26.0922	+	15.0643i	−1.59087	+	0.918488i	−0.993158	+	0.116775i	$0.962744\pi$
$270$	−1.23972	+	0.715753i	−0.0754470	+	0.0435593i
$271$	−6.94335	−	25.9129i	−0.421779	−	1.57410i	−0.770858	−	0.637007i	$-0.780172\pi$
$271$	−6.94335	−	25.9129i	−0.421779	−	1.57410i	0.349080	−	0.937093i	$-0.386494\pi$
$272$	10.6096			0.643302
$273$	6.69813	+	6.79228i	0.405389	+	0.411088i
$274$	−2.98015			−0.180038
$275$	3.01454	+	11.2504i	0.181784	+	0.678426i
$276$	−12.7504	+	7.36143i	−0.767482	+	0.443106i
$277$	2.12102	−	1.22457i	0.127440	−	0.0735775i	−0.434925	−	0.900467i	$-0.643225\pi$
$277$	2.12102	−	1.22457i	0.127440	−	0.0735775i	0.562365	+	0.826889i	$0.309892\pi$
$278$	22.0411	−	5.90590i	1.32194	−	0.354212i
$279$	5.57498	+	5.57498i	0.333765	+	0.333765i
$280$	2.93604	−	0.689013i	0.175462	−	0.0411764i
$281$	−20.1404	−	20.1404i	−1.20147	−	1.20147i	−0.973719	−	0.227754i	$-0.926862\pi$
$281$	−20.1404	−	20.1404i	−1.20147	−	1.20147i	−0.227754	−	0.973719i	$-0.573138\pi$
$282$	3.70428	−	6.41600i	0.220587	−	0.382067i
$283$	−3.04663	−	5.27692i	−0.181103	−	0.313680i	0.761153	−	0.648572i	$-0.224634\pi$
$283$	−3.04663	−	5.27692i	−0.181103	−	0.313680i	−0.942257	+	0.334892i	$0.891300\pi$
$284$	−4.58761	+	17.1212i	−0.272225	+	1.01596i
$285$	0.576715	−	0.998900i	0.0341617	−	0.0591697i
$286$	9.62988	−	17.6575i	0.569427	−	1.04411i
$287$	−3.94767	−	0.123588i	−0.233024	−	0.00729516i
$288$	5.21248	−	5.21248i	0.307149	−	0.307149i
$289$	−9.39577	+	16.2739i	−0.552692	+	0.957291i
$290$	0.0546717	+	0.0946942i	0.00321043	+	0.00556064i
$291$	9.41767	+	2.52346i	0.552074	+	0.147928i
$292$	−41.8337	+	11.2093i	−2.44813	+	0.655975i
$293$	6.26592	−	6.26592i	0.366059	−	0.366059i	−0.499979	−	0.866038i	$-0.666659\pi$
$293$	6.26592	−	6.26592i	0.366059	−	0.366059i	0.866038	+	0.499979i	$0.166659\pi$
$294$	−11.4970	+	10.1408i	−0.670518	+	0.591426i
$295$	−3.45063			−0.200903
$296$	16.7096	+	9.64732i	0.971228	+	0.560739i
$297$	−2.46032	−	0.659241i	−0.142762	−	0.0382530i
$298$	8.58407	−	4.95602i	0.497262	−	0.287094i
$299$	−16.2048	+	9.88887i	−0.937150	+	0.571888i
$300$		−	12.7866i		−	0.738237i
$301$	1.63282	+	1.73836i	0.0941140	+	0.100197i
$302$	9.51627			0.547600
$303$	−5.32552	−	3.07469i	−0.305943	−	0.176636i
$304$	−0.809944	+	3.02275i	−0.0464535	+	0.173367i
$305$	1.93098	+	0.517404i	0.110568	+	0.0296265i
$306$	3.39108	+	12.6557i	0.193855	+	0.723478i
$307$	−20.3624	+	20.3624i	−1.16214	+	1.16214i	−0.178135	+	0.984006i	$0.557006\pi$
$307$	−20.3624	+	20.3624i	−1.16214	+	1.16214i	−0.984006	+	0.178135i	$0.942994\pi$
$308$	16.0167	+	9.92811i	0.912635	+	0.565707i
$309$			16.2075i			0.922011i
$310$	10.9017	−	2.92111i	0.619176	−	0.165908i
$311$	−1.47429	−	2.55354i	−0.0835991	−	0.144798i	0.821194	−	0.570649i	$-0.193308\pi$
$311$	−1.47429	−	2.55354i	−0.0835991	−	0.144798i	−0.904793	+	0.425851i	$0.859975\pi$
$312$	−4.33658	+	4.55279i	−0.245511	+	0.257751i
$313$	10.7571	+	6.21061i	0.608027	+	0.351044i	0.772193	−	0.635388i	$-0.219160\pi$
$313$	10.7571	+	6.21061i	0.608027	+	0.351044i	−0.164166	+	0.986433i	$0.552493\pi$
$314$	7.53404	+	7.53404i	0.425170	+	0.425170i
$315$	−0.817402	−	1.52401i	−0.0460554	−	0.0858683i
$316$			31.3304i			1.76247i
$317$	3.95195	+	14.7489i	0.221964	+	0.828379i	0.983598	+	0.180373i	$0.0577304\pi$
$317$	3.95195	+	14.7489i	0.221964	+	0.828379i	−0.761635	+	0.648007i	$0.775603\pi$
$318$	0.789097	−	2.94495i	0.0442504	−	0.165145i
$319$	−0.0503551	+	0.187928i	−0.00281935	+	0.0105219i
$320$	−2.13114	−	7.95352i	−0.119134	−	0.444615i
$321$			17.5215i			0.977956i
$322$	−14.4198	−	26.8851i	−0.803583	−	1.49825i
$323$	−7.46492	−	7.46492i	−0.415359	−	0.415359i
$324$	2.42164	+	1.39814i	0.134536	+	0.0776742i
$325$	−0.400884	−	16.4824i	−0.0222370	−	0.914279i
$326$	0.326971	+	0.566330i	0.0181092	+	0.0313661i
$327$	−14.4056	+	3.85998i	−0.796634	+	0.213457i
$328$		−	2.60326i		−	0.143741i
$329$	7.60724	+	4.71543i	0.419401	+	0.259970i
$330$	−2.57826	+	2.57826i	−0.141928	+	0.141928i
$331$	−4.04016	−	15.0781i	−0.222067	−	0.828766i	−0.983558	−	0.180591i	$-0.942199\pi$
$331$	−4.04016	−	15.0781i	−0.222067	−	0.828766i	0.761491	−	0.648175i	$-0.224468\pi$
$332$	−23.6988	−	6.35006i	−1.30064	−	0.348505i
$333$	2.86365	−	10.6873i	0.156927	−	0.585659i
$334$	21.3014	+	12.2984i	1.16556	+	0.672936i
$335$	−2.37556			−0.129791
$336$	3.21230	+	3.41994i	0.175246	+	0.186573i
$337$		−	1.81266i		−	0.0987418i	−0.998781	−	0.0493709i	$-0.984278\pi$
$337$		−	1.81266i		−	0.0987418i	0.998781	−	0.0493709i	$-0.0157216\pi$
$338$	−19.1292	+	21.0866i	−1.04049	+	1.14696i
$339$	−0.817745	+	0.472125i	−0.0444138	+	0.0256423i
$340$	10.5622	+	2.83013i	0.572816	+	0.153486i
$341$	17.3915	+	10.0410i	0.941802	+	0.543749i
$342$	−3.86458			−0.208972
$343$	−11.8104	−	14.2659i	−0.637700	−	0.770284i
$344$	−1.11155	+	1.11155i	−0.0599306	+	0.0599306i
$345$	3.32428	−	0.890739i	0.178973	−	0.0479558i
$346$	20.8644	+	5.59059i	1.12167	+	0.300552i
$347$	18.4617	+	31.9767i	0.991078	+	1.71660i	0.610968	+	0.791656i	$0.290781\pi$
$347$	18.4617	+	31.9767i	0.991078	+	1.71660i	0.380110	+	0.924941i	$0.375886\pi$
$348$	0.106795	−	0.184974i	0.00572479	−	0.00991562i
$349$	19.8750	−	19.8750i	1.06388	−	1.06388i	0.0660671	−	0.997815i	$-0.478955\pi$
$349$	19.8750	−	19.8750i	1.06388	−	1.06388i	0.997815	−	0.0660671i	$-0.0210451\pi$
$350$	26.4829	+	0.829088i	1.41557	+	0.0443166i
$351$	3.16541	+	1.72632i	0.168957	+	0.0921441i
$352$	9.38810	−	16.2607i	0.500387	−	0.866696i
$353$	6.70223	−	25.0131i	0.356724	−	1.33131i	−0.521578	−	0.853204i	$-0.674656\pi$
$353$	6.70223	−	25.0131i	0.356724	−	1.33131i	0.878301	−	0.478107i	$-0.158677\pi$
$354$	5.78067	+	10.0124i	0.307239	+	0.532154i
$355$	2.07168	−	3.58826i	0.109953	−	0.190445i
$356$	−18.2682	−	18.2682i	−0.968214	−	0.968214i
$357$	−15.4098	+	3.61629i	−0.815575	+	0.191394i
$358$	37.1645	+	37.1645i	1.96420	+	1.96420i
$359$	30.6453	−	8.21137i	1.61739	−	0.433380i	0.667160	−	0.744914i	$-0.267510\pi$
$359$	30.6453	−	8.21137i	1.61739	−	0.433380i	0.950235	+	0.311535i	$0.100843\pi$
$360$	0.987154	−	0.569934i	0.0520276	−	0.0300381i
$361$	−13.7578	+	7.94307i	−0.724095	+	0.418056i
$362$	−3.87686	−	14.4687i	−0.203763	−	0.760456i
$363$	4.51222			0.236830
$364$	−18.7298	−	18.9931i	−0.981707	−	0.995507i
$365$	10.1238			0.529905
$366$	−1.73357	−	6.46976i	−0.0906150	−	0.338180i
$367$	−22.8752	+	13.2070i	−1.19408	+	0.689400i	−0.959229	−	0.282632i	$-0.908793\pi$
$367$	−22.8752	+	13.2070i	−1.19408	+	0.689400i	−0.234848	+	0.972032i	$0.575459\pi$
$368$	−8.08634	+	4.66865i	−0.421530	+	0.243370i
$369$	−1.44194	+	0.386368i	−0.0750646	+	0.0201135i
$370$	−11.1996	−	11.1996i	−0.582238	−	0.582238i
$371$	3.52617	+	1.06415i	0.183070	+	0.0552482i
$372$	−15.5891	−	15.5891i	−0.808260	−	0.808260i
$373$	1.37665	−	2.38442i	0.0712801	−	0.123461i	−0.828182	−	0.560459i	$-0.810625\pi$
$373$	1.37665	−	2.38442i	0.0712801	−	0.123461i	0.899463	+	0.436998i	$0.143958\pi$
$374$	16.6863	+	28.9015i	0.862828	+	1.49446i
$375$	−1.61948	+	6.04396i	−0.0836293	+	0.312109i
$376$	−2.94961	+	5.10888i	−0.152115	+	0.263470i
$377$	0.131862	−	0.241785i	0.00679126	−	0.0124526i
$378$	−3.05275	+	4.92490i	−0.157017	+	0.253309i
$379$	5.33831	−	5.33831i	0.274211	−	0.274211i	−0.556582	−	0.830793i	$-0.687887\pi$
$379$	5.33831	−	5.33831i	0.274211	−	0.274211i	0.830793	+	0.556582i	$0.187887\pi$
$380$	−1.61265	+	2.79319i	−0.0827273	+	0.143288i
$381$	−7.95578	−	13.7798i	−0.407587	−	0.705962i
$382$	−6.16138	−	1.65094i	−0.315244	−	0.0844693i
$383$	−25.5546	+	6.84734i	−1.30578	+	0.349883i	−0.843633	−	0.536921i	$-0.819587\pi$
$383$	−25.5546	+	6.84734i	−1.30578	+	0.349883i	−0.462147	+	0.886803i	$0.652921\pi$
$384$	−9.08295	+	9.08295i	−0.463512	+	0.463512i
$385$	−3.01576	−	3.21069i	−0.153697	−	0.163632i
$386$	−14.4494			−0.735456
$387$	0.780657	+	0.450713i	0.0396830	+	0.0229110i
$388$	−26.3344	−	7.05627i	−1.33693	−	0.358228i
$389$	−5.09402	+	2.94103i	−0.258277	+	0.149116i	−0.623548	−	0.781785i	$-0.714310\pi$
$389$	−5.09402	+	2.94103i	−0.258277	+	0.149116i	0.365271	+	0.930901i	$0.380976\pi$
$390$	4.40581	−	2.68861i	0.223097	−	0.136143i
$391$		−	31.4994i		−	1.59300i
$392$	9.15472	−	8.07486i	0.462383	−	0.407842i
$393$	−14.5684			−0.734879
$394$	−45.3003	−	26.1542i	−2.28220	−	1.31763i
$395$	1.89550	−	7.07410i	0.0953730	−	0.355937i
$396$	6.87972	+	1.84342i	0.345719	+	0.0926352i
$397$	2.19733	+	8.20055i	0.110281	+	0.411574i	0.998891	−	0.0470903i	$-0.0149948\pi$
$397$	2.19733	+	8.20055i	0.110281	+	0.411574i	−0.888610	+	0.458664i	$0.848328\pi$
$398$	−1.24787	+	1.24787i	−0.0625502	+	0.0625502i
$399$	0.146090	−	4.66645i	0.00731366	−	0.233614i
$400$		−	8.10935i		−	0.405468i
$401$	37.8352	−	10.1379i	1.88940	−	0.506263i	0.890737	−	0.454518i	$-0.150189\pi$
$401$	37.8352	−	10.1379i	1.88940	−	0.506263i	0.998660	−	0.0517442i	$-0.0164780\pi$
$402$	3.97966	+	6.89298i	0.198488	+	0.343791i
$403$	−20.5837	−	19.6062i	−1.02535	−	0.976653i
$404$	14.8916	+	8.59767i	0.740885	+	0.427750i
$405$	−0.462196	−	0.462196i	−0.0229667	−	0.0229667i
$406$	0.376181	+	0.233180i	0.0186695	+	0.0115725i
$407$		−	28.1820i		−	1.39693i
$408$	−2.70022	−	10.0774i	−0.133681	−	0.498904i
$409$	0.495968	−	1.85098i	0.0245240	−	0.0915249i	−0.952579	−	0.304291i	$-0.901581\pi$
$409$	0.495968	−	1.85098i	0.0245240	−	0.0915249i	0.977103	+	0.212766i	$0.0682472\pi$
$410$	−0.553088	+	2.06415i	−0.0273150	+	0.101941i
$411$	−0.352195	−	1.31441i	−0.0173725	−	0.0648350i
$412$		−	45.3205i		−	2.23278i
$413$	−12.3084	+	6.60163i	−0.605659	+	0.324845i
$414$	−8.15360	−	8.15360i	−0.400728	−	0.400728i
$415$	4.96678	+	2.86757i	0.243809	+	0.140763i
$416$	−18.3314	+	19.2453i	−0.898769	+	0.943578i
$417$	5.20964	+	9.02337i	0.255117	+	0.441876i
$418$	−9.50809	+	2.54769i	−0.465056	+	0.124611i
$419$			6.41207i			0.313250i	0.987658	+	0.156625i	$0.0500614\pi$
$419$			6.41207i			0.313250i	−0.987658	+	0.156625i	$0.949939\pi$
$420$	2.28568	+	4.26155i	0.111530	+	0.207942i
$421$	−5.78368	+	5.78368i	−0.281879	+	0.281879i	−0.833858	−	0.551979i	$-0.813873\pi$
$421$	−5.78368	+	5.78368i	−0.281879	+	0.281879i	0.551979	+	0.833858i	$0.313873\pi$
$422$	−9.94792	−	37.1261i	−0.484257	−	1.80727i
$423$	3.26758	+	0.875544i	0.158875	+	0.0425704i
$424$	−0.628335	+	2.34498i	−0.0305147	+	0.113882i
$425$	23.6918	+	13.6785i	1.14922	+	0.663503i
$426$	−13.8824			−0.672603
$427$	7.87772	−	1.84870i	0.381229	−	0.0894647i
$428$		−	48.9949i		−	2.36826i
$429$	8.92598	+	2.16053i	0.430951	+	0.104311i
$430$	1.11752	−	0.645198i	0.0538914	−	0.0311142i
$431$	9.40305	+	2.51954i	0.452929	+	0.121362i	0.478070	−	0.878322i	$-0.341337\pi$
$431$	9.40305	+	2.51954i	0.452929	+	0.121362i	−0.0251405	+	0.999684i	$0.508003\pi$
$432$	1.53582	+	0.886704i	0.0738920	+	0.0426616i
$433$	−13.1342			−0.631190			−0.315595	−	0.948894i	$-0.602204\pi$
$433$	−13.1342			−0.631190			−0.315595	+	0.948894i	$0.602204\pi$
$434$	33.2981	−	31.2765i	1.59836	−	1.50132i
$435$	−0.0353042	+	0.0353042i	−0.00169271	+	0.00169271i
$436$	40.2821	−	10.7936i	1.92916	−	0.516918i
$437$	8.97442	+	2.40469i	0.429305	+	0.115032i
$438$	−16.9600	−	29.3755i	−0.810378	−	1.40362i
$439$	−3.44914	+	5.97409i	−0.164619	+	0.285128i	−0.936520	−	0.350615i	$-0.885973\pi$
$439$	−3.44914	+	5.97409i	−0.164619	+	0.285128i	0.771901	+	0.635743i	$0.219306\pi$
$440$	2.05299	−	2.05299i	0.0978726	−	0.0978726i
$441$	−5.83138	−	3.87235i	−0.277685	−	0.184397i
$442$	−13.3326	−	45.3200i	−0.634167	−	2.15565i
$443$	−11.6463	+	20.1720i	−0.553332	+	0.958400i	0.444699	+	0.895680i	$0.353311\pi$
$443$	−11.6463	+	20.1720i	−0.553332	+	0.958400i	−0.998031	+	0.0627195i	$0.980023\pi$
$444$	−8.00754	+	29.8845i	−0.380021	+	1.41826i
$445$	3.01956	+	5.23003i	0.143141	+	0.247927i
$446$	−3.96816	+	6.87306i	−0.187898	+	0.325449i
$447$	3.20034	+	3.20034i	0.151371	+	0.151371i
$448$	−22.8182	−	24.2931i	−1.07806	−	1.14774i
$449$	−10.6650	−	10.6650i	−0.503312	−	0.503312i	0.409154	−	0.912465i	$-0.365824\pi$
$449$	−10.6650	−	10.6650i	−0.503312	−	0.503312i	−0.912465	+	0.409154i	$0.865824\pi$
$450$	9.67326	−	2.59194i	0.456002	−	0.122185i
$451$	−3.29293	+	1.90118i	−0.155058	+	0.0895229i
$452$	2.28664	−	1.32019i	0.107554	−	0.0620965i
$453$	1.12463	+	4.19719i	0.0528399	+	0.197201i
$454$	28.4312			1.33434
$455$	3.07992	+	5.42161i	0.144389	+	0.254169i
$456$	3.07725			0.144105
$457$	−3.21576	−	12.0014i	−0.150427	−	0.561401i	−0.999454	−	0.0330510i	$-0.989478\pi$
$457$	−3.21576	−	12.0014i	−0.150427	−	0.561401i	0.849027	−	0.528350i	$-0.177189\pi$
$458$	−22.0437	+	12.7270i	−1.03004	+	0.594692i
$459$	−5.18109	+	2.99130i	−0.241832	+	0.139622i
$460$	−9.29559	+	2.49075i	−0.433409	+	0.116132i
$461$	−16.0625	−	16.0625i	−0.748103	−	0.748103i	0.226019	−	0.974123i	$-0.427429\pi$
$461$	−16.0625	−	16.0625i	−0.748103	−	0.748103i	−0.974123	+	0.226019i	$0.927429\pi$
$462$	−4.26405	+	14.1293i	−0.198382	+	0.657356i
$463$	−4.57548	−	4.57548i	−0.212641	−	0.212641i	0.592748	−	0.805388i	$-0.298043\pi$
$463$	−4.57548	−	4.57548i	−0.212641	−	0.212641i	−0.805388	+	0.592748i	$0.798043\pi$
$464$	0.0677296	−	0.117311i	0.00314427	−	0.00544603i
$465$	2.57673	+	4.46303i	0.119493	+	0.206968i
$466$	−14.6853	+	54.8062i	−0.680282	+	2.53885i
$467$	−15.0139	+	26.0049i	−0.694762	+	1.20336i	0.275499	+	0.961301i	$0.411157\pi$
$467$	−15.0139	+	26.0049i	−0.694762	+	1.20336i	−0.970261	+	0.242062i	$0.922176\pi$
$468$	−8.85135	−	4.82726i	−0.409154	−	0.223140i
$469$	−8.47366	+	4.54484i	−0.391277	+	0.209861i
$470$	3.42421	−	3.42421i	0.157947	−	0.157947i
$471$	−2.43255	+	4.21329i	−0.112086	+	0.194138i
$472$	−4.60299	−	7.97260i	−0.211870	−	0.366969i
$473$	2.21780	+	0.594257i	0.101974	+	0.0273239i
$474$	−23.7018	+	6.35089i	−1.08866	+	0.291706i
$475$	−5.70574	+	5.70574i	−0.261798	+	0.261798i
$476$	43.0901	−	10.1121i	1.97503	−	0.463489i
$477$	1.39214			0.0637416
$478$	29.2135	+	16.8665i	1.33620	+	0.771453i
$479$	36.4814	+	9.77517i	1.66688	+	0.446639i	0.964267	−	0.264933i	$-0.0853498\pi$
$479$	36.4814	+	9.77517i	1.66688	+	0.446639i	0.702613	+	0.711572i	$0.252017\pi$
$480$	4.17284	−	2.40919i	0.190463	−	0.109964i
$481$	−9.38505	+	38.7732i	−0.427921	+	1.76791i
$482$			25.5649i			1.16445i
$483$	10.1536	−	9.53719i	0.462007	−	0.433957i
$484$	−12.6174			−0.573518
$485$	5.51915	+	3.18648i	0.250612	+	0.144691i
$486$	−0.566824	+	2.11542i	−0.0257117	+	0.0959572i
$487$	19.7195	+	5.28383i	0.893577	+	0.239433i	0.676256	−	0.736667i	$-0.263601\pi$
$487$	19.7195	+	5.28383i	0.893577	+	0.239433i	0.217321	+	0.976100i	$0.430268\pi$
$488$	1.38039	+	5.15168i	0.0624873	+	0.233206i
$489$	−0.211141	+	0.211141i	−0.00954812	+	0.00954812i
$490$	−8.97445	+	4.45763i	−0.405424	+	0.201375i
$491$			34.5398i			1.55876i	0.626552	+	0.779380i	$0.284466\pi$
$491$			34.5398i			1.55876i	−0.626552	+	0.779380i	$0.715534\pi$
$492$	4.03206	−	1.08039i	0.181780	−	0.0487077i
$493$	0.228486	+	0.395750i	0.0102905	+	0.0178237i
$494$	13.9298	−	0.338800i	0.626732	−	0.0152433i
$495$	−1.44185	−	0.832452i	−0.0648063	−	0.0374159i
$496$	−9.88671	−	9.88671i	−0.443927	−	0.443927i
$497$	0.524787	−	16.7628i	0.0235399	−	0.751916i
$498$		−	19.2156i		−	0.861073i
$499$	−0.432031	−	1.61236i	−0.0193404	−	0.0721793i	0.955581	−	0.294728i	$-0.0952290\pi$
$499$	−0.432031	−	1.61236i	−0.0193404	−	0.0721793i	−0.974922	+	0.222549i	$0.928562\pi$
$500$	4.52849	−	16.9006i	0.202520	−	0.755816i
$501$	−2.90684	+	10.8485i	−0.129868	+	0.484675i
$502$	2.01623	+	7.52469i	0.0899889	+	0.335843i
$503$			28.9670i			1.29157i	0.763518	+	0.645787i	$0.223470\pi$
$503$			28.9670i			1.29157i	−0.763518	+	0.645787i	$0.776530\pi$
$504$	2.43082	−	3.92156i	0.108277	−	0.174680i
$505$	−2.84222	−	2.84222i	−0.126477	−	0.126477i
$506$	−25.4357	−	14.6853i	−1.13075	−	0.652841i
$507$	−11.5610	−	5.94499i	−0.513443	−	0.264026i
$508$	22.2465	+	38.5321i	0.987030	+	1.70959i
$509$	22.8308	−	6.11751i	1.01196	−	0.271154i	0.285512	−	0.958375i	$-0.407836\pi$
$509$	22.8308	−	6.11751i	1.01196	−	0.271154i	0.726448	+	0.687221i	$0.241170\pi$
$510$			8.56413i			0.379226i
$511$	36.1118	−	19.3686i	1.59749	−	0.856815i
$512$	−13.6174	+	13.6174i	−0.601812	+	0.601812i
$513$	−0.456716	−	1.70449i	−0.0201645	−	0.0752549i
$514$	−31.9505	−	8.56112i	−1.40928	−	0.377615i
$515$	−2.74191	+	10.2329i	−0.120823	+	0.450917i
$516$	−2.18293	−	1.26032i	−0.0960981	−	0.0554823i
$517$	8.61648			0.378952
$518$	−61.3758	−	18.5224i	−2.69670	−	0.813829i
$519$			9.86301i			0.432938i
$520$	−3.50822	+	2.14086i	−0.153846	+	0.0938829i
$521$	−8.01013	+	4.62465i	−0.350930	+	0.202610i	−0.665095	−	0.746759i	$-0.731609\pi$
$521$	−8.01013	+	4.62465i	−0.350930	+	0.202610i	0.314165	+	0.949369i	$0.398276\pi$
$522$	0.161583	+	0.0432960i	0.00707229	+	0.00189501i
$523$	23.8793	+	13.7867i	1.04417	+	0.602852i	0.921011	−	0.389536i	$-0.127364\pi$
$523$	23.8793	+	13.7867i	1.04417	+	0.602852i	0.123158	+	0.992387i	$0.460698\pi$
$524$	40.7372			1.77961
$525$	2.76408	+	11.7784i	0.120634	+	0.514050i
$526$	−34.1039	+	34.1039i	−1.48700	+	1.48700i
$527$	45.5609	−	12.2080i	1.98466	−	0.531789i
$528$	4.36315	+	1.16910i	0.189882	+	0.0508787i
$529$	2.36103	+	4.08942i	0.102653	+	0.177801i
$530$	0.996427	−	1.72586i	0.0432820	−	0.0749667i
$531$	−3.73286	+	3.73286i	−0.161992	+	0.161992i
$532$	−0.408508	+	13.0486i	−0.0177111	+	0.565731i
$533$	5.16359	−	1.51907i	0.223660	−	0.0657982i
$534$	10.1170	−	17.5232i	0.437807	−	0.758305i
$535$	−2.96421	+	11.0626i	−0.128154	+	0.478278i
$536$	−3.16889	−	5.48868i	−0.136875	−	0.237075i
$537$	−11.9994	+	20.7836i	−0.517814	+	0.896880i
$538$	46.6570	+	46.6570i	2.01152	+	2.01152i
$539$	−16.8999	−	5.68293i	−0.727929	−	0.244781i
$540$	1.29243	+	1.29243i	0.0556172	+	0.0556172i
$541$	−8.25664	+	2.21236i	−0.354981	+	0.0951167i	−0.431902	−	0.901920i	$-0.642157\pi$
$541$	−8.25664	+	2.21236i	−0.354981	+	0.0951167i	0.0769218	+	0.997037i	$0.475491\pi$
$542$	−50.8810	+	29.3762i	−2.18553	+	1.26181i
$543$	5.92329	−	3.41981i	0.254193	−	0.146758i
$544$	−11.4142	−	42.5984i	−0.489381	−	1.82639i
$545$	−9.74833			−0.417573
$546$	10.5718	−	18.0193i	0.452433	−	0.771157i
$547$	40.4129			1.72793			0.863965	−	0.503552i	$-0.167974\pi$
$547$	40.4129			1.72793			0.863965	+	0.503552i	$0.167974\pi$
$548$	0.984832	+	3.67544i	0.0420699	+	0.157007i
$549$	2.64864	−	1.52919i	0.113041	−	0.0652644i
$550$	22.0906	−	12.7540i	0.941947	−	0.543833i
$551$	−0.130195	+	0.0348856i	−0.00554648	+	0.00148617i
$552$	6.49248	+	6.49248i	0.276338	+	0.276338i
$553$	−6.77266	−	28.8599i	−0.288003	−	1.22725i
$554$	−3.79273	−	3.79273i	−0.161138	−	0.161138i
$555$	3.61605	−	6.26319i	0.153493	−	0.265858i
$556$	−14.5676	−	25.2318i	−0.617803	−	1.07007i
$557$	4.63910	−	17.3133i	0.196565	−	0.733590i	−0.795291	−	0.606227i	$-0.792682\pi$
$557$	4.63910	−	17.3133i	0.196565	−	0.733590i	0.991856	−	0.127362i	$-0.0406512\pi$
$558$	8.63336	−	14.9534i	0.365479	−	0.633029i
$559$	−2.85338	−	1.55615i	−0.120685	−	0.0658181i
$560$	1.44959	+	2.70269i	0.0612563	+	0.114210i
$561$	−10.7751	+	10.7751i	−0.454927	+	0.454927i
$562$	−31.1892	+	54.0213i	−1.31564	+	2.27875i
$563$	−3.28323	−	5.68672i	−0.138372	−	0.239667i	0.788509	−	0.615024i	$-0.210854\pi$
$563$	−3.28323	−	5.68672i	−0.138372	−	0.239667i	−0.926880	+	0.375357i	$0.877520\pi$
$564$	−9.13703	−	2.44826i	−0.384738	−	0.103090i
$565$	−0.596173	+	0.159744i	−0.0250812	+	0.00672048i
$566$	−9.43598	+	9.43598i	−0.396624	+	0.396624i
$567$	−2.53292	−	0.764403i	−0.106373	−	0.0321019i
$568$	11.0541			0.463821
$569$	24.6318	+	14.2212i	1.03262	+	0.596182i	0.917733	−	0.397197i	$-0.130017\pi$
$569$	24.6318	+	14.2212i	1.03262	+	0.596182i	0.114884	+	0.993379i	$0.463350\pi$
$570$	−2.43998	−	0.653792i	−0.102200	−	0.0273843i
$571$	−19.7578	+	11.4072i	−0.826839	+	0.477376i	−0.852769	−	0.522288i	$-0.825079\pi$
$571$	−19.7578	+	11.4072i	−0.826839	+	0.477376i	0.0259302	+	0.999664i	$0.491745\pi$
$572$	−24.9595	−	6.04144i	−1.04361	−	0.252605i
$573$		−	2.91261i		−	0.121676i
$574$	1.97619	+	8.42101i	0.0824847	+	0.351486i
$575$	−24.0763			−1.00405
$576$	−10.9095	−	6.29860i	−0.454562	−	0.262442i
$577$	−10.9943	+	41.0315i	−0.457701	+	1.70816i	0.222324	+	0.974973i	$0.428636\pi$
$577$	−10.9943	+	41.0315i	−0.457701	+	1.70816i	−0.680025	+	0.733189i	$0.738031\pi$
$578$	39.7519	+	10.6515i	1.65346	+	0.443044i
$579$	−1.70763	−	6.37298i	−0.0709669	−	0.264852i
$580$	0.0987200	−	0.0987200i	0.00409913	−	0.00409913i
$581$	23.2027	+	0.726397i	0.962611	+	0.0301360i
$582$		−	21.3527i		−	0.885096i
$583$	3.42511	−	0.917754i	0.141853	−	0.0380095i
$584$	13.5047	+	23.3909i	0.558830	+	0.967922i
$585$	1.70650	+	1.62546i	0.0705551	+	0.0672045i
$586$	−16.8067	−	9.70336i	−0.694279	−	0.400842i
$587$	9.03045	+	9.03045i	0.372727	+	0.372727i	0.868469	−	0.495743i	$-0.165104\pi$
$587$	9.03045	+	9.03045i	0.372727	+	0.372727i	−0.495743	+	0.868469i	$0.665104\pi$
$588$	16.3061	+	10.8281i	0.672453	+	0.446545i
$589$			13.9126i			0.573258i
$590$	1.95590	+	7.29951i	0.0805230	+	0.300516i
$591$	6.18180	−	23.0708i	0.254285	−	0.949006i
$592$	−5.07842	+	18.9529i	−0.208722	+	0.778960i
$593$	−5.75416	−	21.4748i	−0.236295	−	0.881865i	−0.977561	−	0.210654i	$-0.932441\pi$
$593$	−5.75416	−	21.4748i	−0.236295	−	0.881865i	0.741266	−	0.671212i	$-0.234226\pi$
$594$			5.57827i			0.228879i
$595$	−10.3411	−	0.323745i	−0.423945	−	0.0132723i
$596$	−8.94902	−	8.94902i	−0.366566	−	0.366566i
$597$	−0.697854	−	0.402906i	−0.0285612	−	0.0164898i
$598$	30.1044	+	28.6747i	1.23106	+	1.17260i
$599$	−13.9125	−	24.0971i	−0.568448	−	0.984581i	−0.996720	−	0.0809310i	$-0.974211\pi$
$599$	−13.9125	−	24.0971i	−0.568448	−	0.984581i	0.428272	−	0.903650i	$-0.359123\pi$
$600$	−7.70254	+	2.06389i	−0.314455	+	0.0842580i
$601$		−	17.9740i		−	0.733174i	−0.930384	−	0.366587i	$-0.880526\pi$
$601$		−	17.9740i		−	0.733174i	0.930384	−	0.366587i	$-0.119474\pi$
$602$	2.75183	−	4.43943i	0.112156	−	0.180938i
$603$	−2.56986	+	2.56986i	−0.104653	+	0.104653i
$604$	−3.14478	−	11.7365i	−0.127959	−	0.477551i
$605$	2.84889	+	0.763358i	0.115824	+	0.0310349i
$606$	−3.48562	+	13.0085i	−0.141593	+	0.528434i
$607$	11.4792	+	6.62754i	0.465928	+	0.269004i	0.714534	−	0.699601i	$-0.246639\pi$
$607$	11.4792	+	6.62754i	0.465928	+	0.269004i	−0.248606	+	0.968605i	$0.579972\pi$
$608$	13.0080			0.527543
$609$	−0.0583878	+	0.193473i	−0.00236599	+	0.00783994i
$610$		−	4.37810i		−	0.177264i
$611$	−11.8547	−	2.86943i	−0.479589	−	0.116085i
$612$	14.4877	−	8.36449i	0.585631	−	0.338114i
$613$	−7.78962	−	2.08722i	−0.314620	−	0.0843021i	0.0980538	−	0.995181i	$-0.468738\pi$
$613$	−7.78962	−	2.08722i	−0.314620	−	0.0843021i	−0.412673	+	0.910879i	$0.635405\pi$
$614$	54.6167	+	31.5330i	2.20415	+	1.27257i
$615$	−0.975766			−0.0393467
$616$	3.39534	−	11.2508i	0.136802	−	0.453307i
$617$	−12.9666	+	12.9666i	−0.522016	+	0.522016i	−0.918180	−	0.396163i	$-0.870341\pi$
$617$	−12.9666	+	12.9666i	−0.522016	+	0.522016i	0.396163	+	0.918180i	$0.370341\pi$
$618$	34.2855	−	9.18678i	1.37917	−	0.369547i
$619$	−29.9041	−	8.01277i	−1.20195	−	0.322061i	−0.398349	−	0.917234i	$-0.630417\pi$
$619$	−29.9041	−	8.01277i	−1.20195	−	0.322061i	−0.803597	+	0.595173i	$0.797083\pi$
$620$	−7.20525	−	12.4799i	−0.289370	−	0.501203i
$621$	2.63259	−	4.55977i	0.105642	−	0.182977i
$622$	−4.56613	+	4.56613i	−0.183085	+	0.183085i
$623$	20.7767	+	12.8787i	0.832402	+	0.515973i
$624$	−5.61357	−	3.06147i	−0.224722	−	0.122557i
$625$	9.38689	−	16.2586i	0.375476	−	0.650343i
$626$	7.04064	−	26.2760i	0.281401	−	1.05020i
$627$	−2.24733	−	3.89250i	−0.0897499	−	0.155451i
$628$	6.80206	−	11.7815i	0.271432	−	0.470133i
$629$	−46.8057	−	46.8057i	−1.86626	−	1.86626i
$630$	−2.76059	+	2.59299i	−0.109985	+	0.103307i
$631$	25.6189	+	25.6189i	1.01987	+	1.01987i	0.999798	+	0.0200749i	$0.00639046\pi$
$631$	25.6189	+	25.6189i	1.01987	+	1.01987i	0.0200749	+	0.999798i	$0.493610\pi$
$632$	18.8731	−	5.05703i	0.750731	−	0.201158i
$633$	15.1990	−	8.77514i	0.604106	−	0.348780i
$634$	28.9599	−	16.7200i	1.15015	−	0.664037i
$635$	−2.69185	−	10.0461i	−0.106823	−	0.398668i
$636$	−3.89280			−0.154359
$637$	21.3586	+	13.4466i	0.846258	+	0.532773i
$638$	0.426088			0.0168690
$639$	−1.64062	−	6.12287i	−0.0649019	−	0.242217i
$640$	−7.27133	+	4.19810i	−0.287425	+	0.165945i
$641$	33.3576	−	19.2590i	1.31755	−	0.760687i	0.334214	−	0.942497i	$-0.391529\pi$
$641$	33.3576	−	19.2590i	1.31755	−	0.760687i	0.983334	+	0.181811i	$0.0581958\pi$
$642$	37.0653	−	9.93161i	1.46285	−	0.391970i
$643$	19.0170	+	19.0170i	0.749958	+	0.749958i	0.974471	−	0.224513i	$-0.0720790\pi$
$643$	19.0170	+	19.0170i	0.749958	+	0.749958i	−0.224513	+	0.974471i	$0.572079\pi$
$644$	−28.3923	+	26.6686i	−1.11881	+	1.05089i
$645$	0.416635	+	0.416635i	0.0164050	+	0.0164050i
$646$	−11.5601	+	20.0227i	−0.454826	+	0.787782i
$647$	−24.4519	−	42.3520i	−0.961305	−	1.66503i	−0.719231	−	0.694771i	$-0.755506\pi$
$647$	−24.4519	−	42.3520i	−0.961305	−	1.66503i	−0.242074	−	0.970258i	$-0.577828\pi$
$648$	0.451346	−	1.68444i	0.0177305	−	0.0661712i
$649$	−6.72318	+	11.6449i	−0.263908	+	0.457102i
$650$	−34.6399	+	10.1907i	−1.35869	+	0.399710i
$651$	17.7298	+	10.9900i	0.694885	+	0.430732i
$652$	0.590407	−	0.590407i	0.0231221	−	0.0231221i
$653$	19.4880	−	33.7542i	0.762625	−	1.32090i	−0.178868	−	0.983873i	$-0.557244\pi$
$653$	19.4880	−	33.7542i	0.762625	−	1.32090i	0.941493	−	0.337032i	$-0.109423\pi$
$654$	16.3309	+	28.2860i	0.638590	+	1.10607i
$655$	−9.19808	−	2.46462i	−0.359399	−	0.0963006i
$656$	2.55715	−	0.685188i	0.0998401	−	0.0267521i
$657$	10.9519	−	10.9519i	0.427273	−	0.427273i
$658$	5.66313	−	18.7653i	0.220772	−	0.731547i
$659$	−5.25399			−0.204666			−0.102333	−	0.994750i	$-0.532631\pi$
$659$	−5.25399			−0.204666			−0.102333	+	0.994750i	$0.532631\pi$
$660$	4.03180	+	2.32776i	0.156938	+	0.0906080i
$661$	−5.18442	−	1.38916i	−0.201650	−	0.0540321i	0.156580	−	0.987665i	$-0.449953\pi$
$661$	−5.18442	−	1.38916i	−0.201650	−	0.0540321i	−0.358230	+	0.933633i	$0.616620\pi$
$662$	−29.6063	+	17.0932i	−1.15068	+	0.664347i
$663$	18.4129	−	11.2363i	0.715098	−	0.436382i
$664$			15.3009i			0.593788i
$665$	0.881686	−	2.92155i	0.0341903	−	0.113293i
$666$	−24.2312			−0.938941
$667$	−0.348292	−	0.201086i	−0.0134859	−	0.00778609i
$668$	8.12832	−	30.3353i	0.314494	−	1.17371i
$669$	−3.50035	−	0.937916i	−0.135331	−	0.0362619i
$670$	1.34652	+	5.02530i	0.0520208	+	0.194144i
$671$	5.50840	−	5.50840i	0.212649	−	0.212649i
$672$	10.2754	−	16.5770i	0.396383	−	0.639470i
$673$			40.2628i			1.55202i	0.630722	+	0.776008i	$0.282759\pi$
$673$			40.2628i			1.55202i	−0.630722	+	0.776008i	$0.717241\pi$
$674$	−3.83453	+	1.02746i	−0.147700	+	0.0395762i
$675$	2.28637	+	3.96012i	0.0880026	+	0.152425i
$676$	32.3277	+	16.6238i	1.24337	+	0.639377i
$677$	23.1527	+	13.3672i	0.889832	+	0.513745i	0.873887	−	0.486128i	$-0.161591\pi$
$677$	23.1527	+	13.3672i	0.889832	+	0.513745i	0.0159443	+	0.999873i	$0.494925\pi$
$678$	1.46226	+	1.46226i	0.0561577	+	0.0561577i
$679$	25.7832	+	0.807182i	0.989467	+	0.0309768i
$680$		−	6.81937i		−	0.261511i
$681$	3.36001	+	12.5397i	0.128756	+	0.480523i
$682$	11.3829	−	42.4817i	0.435875	−	1.62671i
$683$	8.54301	−	31.8830i	0.326889	−	1.21997i	−0.585510	−	0.810665i	$-0.699106\pi$
$683$	8.54301	−	31.8830i	0.326889	−	1.21997i	0.912399	−	0.409302i	$-0.134228\pi$
$684$	1.27710	+	4.76621i	0.0488312	+	0.182241i
$685$		−	0.889463i		−	0.0339846i
$686$	−23.4838	+	33.0701i	−0.896617	+	1.26262i
$687$	−8.21841	−	8.21841i	−0.313552	−	0.313552i
$688$	−1.38442	−	0.799298i	−0.0527807	−	0.0304730i
$689$	−5.01794	+	0.122046i	−0.191168	+	0.00464958i
$690$	−3.76856	−	6.52735i	−0.143467	−	0.248492i
$691$	19.8084	−	5.30765i	0.753548	−	0.201913i	0.138457	−	0.990369i	$-0.455786\pi$
$691$	19.8084	−	5.30765i	0.753548	−	0.201913i	0.615091	+	0.788456i	$0.289119\pi$
$692$		−	27.5796i		−	1.04842i
$693$	−6.73572	−	0.210872i	−0.255869	−	0.00801037i
$694$	57.1794	−	57.1794i	2.17050	−	2.17050i
$695$	1.76269	+	6.57844i	0.0668626	+	0.249535i
$696$	−0.128664	−	0.0344754i	−0.00487699	−	0.00130679i
$697$	−2.31148	+	8.62657i	−0.0875537	+	0.326755i
$698$	−53.3094	−	30.7782i	−2.01779	−	1.16497i
$699$	−25.9080			−0.979931
$700$	−7.72912	−	32.9355i	−0.292133	−	1.24485i
$701$			44.2019i			1.66948i	0.550641	+	0.834742i	$0.314383\pi$
$701$			44.2019i			1.66948i	−0.550641	+	0.834742i	$0.685617\pi$
$702$	1.85765	−	7.67468i	0.0701126	−	0.289662i
$703$	16.9085	−	9.76210i	0.637715	−	0.368185i
$704$	−30.9932	−	8.30459i	−1.16810	−	0.312991i
$705$	1.91493	+	1.10559i	0.0721206	+	0.0416389i
$706$	−56.7120			−2.13438
$707$	−15.5759	−	4.70061i	−0.585792	−	0.176785i
$708$	10.4381	−	10.4381i	0.392287	−	0.392287i
$709$	−39.5912	+	10.6084i	−1.48688	+	0.398408i	−0.908681	−	0.417490i	$-0.862910\pi$
$709$	−39.5912	+	10.6084i	−1.48688	+	0.398408i	−0.578196	+	0.815898i	$0.696243\pi$
$710$	−8.76493	−	2.34856i	−0.328942	−	0.0881397i
$711$	−5.60217	−	9.70324i	−0.210098	−	0.363900i
$712$	−8.05592	+	13.9533i	−0.301908	+	0.522920i
$713$	−29.3532	+	29.3532i	−1.09929	+	1.09929i
$714$	16.3846	+	30.5484i	0.613179	+	1.14325i
$715$	5.27010	+	2.87416i	0.197091	+	0.107487i
$716$	33.5537	−	58.1167i	1.25396	−	2.17192i
$717$	−3.98656	+	14.8780i	−0.148881	+	0.555630i
$718$	−34.7409	−	60.1731i	−1.29652	−	2.24564i
$719$	1.43809	−	2.49085i	0.0536317	−	0.0928929i	−0.837963	−	0.545727i	$-0.816254\pi$
$719$	1.43809	−	2.49085i	0.0536317	−	0.0928929i	0.891595	+	0.452834i	$0.149587\pi$
$720$	0.819663	+	0.819663i	0.0305470	+	0.0305470i
$721$	9.79689	+	41.7468i	0.364855	+	1.55473i
$722$	24.6011	+	24.6011i	0.915559	+	0.915559i
$723$	−11.2755	+	3.02126i	−0.419340	+	0.112362i
$724$	−16.5631	+	9.56273i	−0.615564	+	0.355396i
$725$	0.302488	−	0.174641i	0.0112341	−	0.00648602i
$726$	−2.55764	−	9.54523i	−0.0949228	−	0.354257i
$727$	26.3024			0.975502			0.487751	−	0.872983i	$-0.337817\pi$
$727$	26.3024			0.975502			0.487751	+	0.872983i	$0.337817\pi$
$728$	−8.41805	+	14.3483i	−0.311994	+	0.531783i
$729$	−1.00000			−0.0370370
$730$	−5.73842	−	21.4161i	−0.212389	−	0.792645i
$731$	4.67036	−	2.69644i	0.172740	−	0.0997313i
$732$	−7.40632	+	4.27604i	−0.273745	+	0.158047i
$733$	39.5431	−	10.5955i	1.46056	−	0.391355i	0.560875	−	0.827901i	$-0.310465\pi$
$733$	39.5431	−	10.5955i	1.46056	−	0.391355i	0.899682	+	0.436546i	$0.143798\pi$
$734$	40.9045	+	40.9045i	1.50981	+	1.50981i
$735$	−3.02666	−	3.43142i	−0.111640	−	0.126570i
$736$	27.4446	+	27.4446i	1.01162	+	1.01162i
$737$	−4.62852	+	8.01684i	−0.170494	+	0.295304i
$738$	1.63466	+	2.83131i	0.0601725	+	0.104222i
$739$	−7.35841	+	27.4620i	−0.270684	+	1.01020i	0.687995	+	0.725715i	$0.258491\pi$
$739$	−7.35841	+	27.4620i	−0.270684	+	1.01020i	−0.958679	+	0.284490i	$0.908176\pi$
$740$	−10.1115	+	17.5136i	−0.371705	+	0.643812i
$741$	1.79565	+	6.10376i	0.0659650	+	0.224227i
$742$	0.252409	−	8.06251i	0.00926624	−	0.295984i
$743$	15.6997	−	15.6997i	0.575966	−	0.575966i	−0.357823	−	0.933789i	$-0.616481\pi$
$743$	15.6997	−	15.6997i	0.575966	−	0.575966i	0.933789	+	0.357823i	$0.116481\pi$
$744$	−6.87450	+	11.9070i	−0.252031	+	0.436531i
$745$	1.47918	+	2.56202i	0.0541931	+	0.0938653i
$746$	−5.82436	−	1.56063i	−0.213245	−	0.0571388i
$747$	8.47513	−	2.27090i	0.310089	−	0.0830880i
$748$	30.1302	−	30.1302i	1.10167	−	1.10167i
$749$	10.5912	+	45.1315i	0.386994	+	1.64907i
$750$	13.7035			0.500379
$751$	−13.2341	−	7.64073i	−0.482920	−	0.278814i	0.238713	−	0.971090i	$-0.423275\pi$
$751$	−13.2341	−	7.64073i	−0.482920	−	0.278814i	−0.721633	+	0.692276i	$0.756608\pi$
$752$	−5.79475	−	1.55270i	−0.211313	−	0.0566211i
$753$	−3.08052	+	1.77854i	−0.112260	+	0.0648135i
$754$	−0.586219	−	0.141894i	−0.0213488	−	0.00516748i
$755$			2.84025i			0.103367i
$756$	7.08273	+	2.13748i	0.257597	+	0.0777394i
$757$	−28.2653			−1.02732			−0.513660	−	0.857994i	$-0.671711\pi$
$757$	−28.2653			−1.02732			−0.513660	+	0.857994i	$0.671711\pi$
$758$	−14.3186	−	8.26687i	−0.520076	−	0.300266i
$759$	3.47102	−	12.9540i	0.125990	−	0.470201i
$760$	1.94289	+	0.520596i	0.0704760	+	0.0188840i
$761$	−6.30631	−	23.5355i	−0.228603	−	0.853160i	−0.980929	−	0.194368i	$-0.937734\pi$
$761$	−6.30631	−	23.5355i	−0.228603	−	0.853160i	0.752325	−	0.658792i	$-0.228932\pi$
$762$	−24.6405	+	24.6405i	−0.892632	+	0.892632i
$763$	−34.7725	+	18.6502i	−1.25885	+	0.675182i
$764$			8.14445i			0.294656i
$765$	−3.77725	+	1.01211i	−0.136567	+	0.0365929i
$766$	28.9699	+	50.1774i	1.04673	+	1.81298i
$767$	13.1278	−	13.7823i	0.474017	−	0.497650i
$768$	2.54365	+	1.46858i	0.0917861	+	0.0529927i
$769$	−36.5890	−	36.5890i	−1.31943	−	1.31943i	−0.914225	−	0.405206i	$-0.867200\pi$
$769$	−36.5890	−	36.5890i	−1.31943	−	1.31943i	−0.405206	−	0.914225i	$-0.632800\pi$
$770$	−5.08254	+	8.19948i	−0.183162	+	0.295489i
$771$		−	15.1037i		−	0.543946i
$772$	4.77501	+	17.8206i	0.171856	+	0.641377i
$773$	9.53735	−	35.5939i	0.343035	−	1.28022i	−0.551857	−	0.833939i	$-0.686080\pi$
$773$	9.53735	−	35.5939i	0.343035	−	1.28022i	0.894891	−	0.446284i	$-0.147253\pi$
$774$	0.510949	−	1.90689i	0.0183657	−	0.0685417i
$775$	−9.33108	−	34.8240i	−0.335182	−	1.25092i
$776$			17.0025i			0.610354i
$777$	0.915999	−	29.2590i	0.0328613	−	1.04966i
$778$	9.10892	+	9.10892i	0.326571	+	0.326571i
$779$	−2.28131	−	1.31712i	−0.0817365	−	0.0471906i
$780$	−4.77184	−	4.54523i	−0.170859	−	0.162745i
$781$	−8.07290	−	13.9827i	−0.288871	−	0.500339i
$782$	−66.6344	+	17.8546i	−2.38284	+	0.638480i
$783$			0.0763835i			0.00272972i
$784$	10.3414	+	6.86725i	0.369336	+	0.245259i
$785$	−2.24863	+	2.24863i	−0.0802569	+	0.0802569i
$786$	8.25772	+	30.8182i	0.294543	+	1.09925i
$787$	5.47568	+	1.46720i	0.195187	+	0.0523002i	0.355088	−	0.934833i	$-0.384451\pi$
$787$	5.47568	+	1.46720i	0.195187	+	0.0523002i	−0.159901	+	0.987133i	$0.551118\pi$
$788$	−17.2860	+	64.5122i	−0.615788	+	2.29815i
$789$	−19.0721	−	11.0113i	−0.678984	−	0.392012i
$790$	−16.0391			−0.570645
$791$	−1.82094	+	1.71039i	−0.0647452	+	0.0608144i
$792$		−	4.44182i		−	0.157833i
$793$	−9.41293	+	5.74416i	−0.334263	+	0.203981i
$794$	16.1021	−	9.29653i	0.571441	−	0.329922i
$795$	0.878957	+	0.235516i	0.0311734	+	0.00835288i
$796$	1.95139	+	1.12663i	0.0691651	+	0.0399325i
$797$	−4.66456			−0.165227			−0.0826136	−	0.996582i	$-0.526327\pi$
$797$	−4.66456			−0.165227			−0.0826136	+	0.996582i	$0.526327\pi$
$798$	−9.95428	+	2.33601i	−0.352378	+	0.0826939i
$799$	14.3106	−	14.3106i	0.506272	−	0.506272i
$800$	−32.5597	+	8.72436i	−1.15116	+	0.308453i
$801$	8.92433	+	2.39127i	0.315326	+	0.0844913i
$802$	−42.8917	−	74.2907i	−1.51456	−	2.62329i
$803$	19.7252	−	34.1650i	0.696086	−	1.20566i
$804$	7.18603	−	7.18603i	0.253432	−	0.253432i
$805$	8.02418	−	4.30376i	0.282815	−	0.151688i
$806$	−29.8079	+	54.6563i	−1.04994	+	1.92518i
$807$	−15.0643	+	26.0922i	−0.530289	+	0.918488i
$808$	2.77550	−	10.3583i	0.0976416	−	0.364404i
$809$	−20.4024	−	35.3380i	−0.717310	−	1.24242i	−0.962062	−	0.272832i	$-0.912040\pi$
$809$	−20.4024	−	35.3380i	−0.717310	−	1.24242i	0.244751	−	0.969586i	$-0.421294\pi$
$810$	−0.715753	+	1.23972i	−0.0251490	+	0.0435593i
$811$	−15.4548	−	15.4548i	−0.542690	−	0.542690i	0.381626	−	0.924317i	$-0.375364\pi$
$811$	−15.4548	−	15.4548i	−0.542690	−	0.542690i	−0.924317	+	0.381626i	$0.875364\pi$
$812$	0.163268	−	0.541004i	0.00572959	−	0.0189855i
$813$	−18.9696	−	18.9696i	−0.665293	−	0.665293i
$814$	−59.6166	+	15.9742i	−2.08956	+	0.559896i
$815$	−0.169028	+	0.0975885i	−0.00592080	+	0.00341837i
$816$	9.18818	−	5.30480i	0.321651	−	0.185705i
$817$	0.411695	+	1.53647i	0.0144034	+	0.0537542i
$818$	−4.19671			−0.146735
$819$	9.19689	+	2.53322i	0.321365	+	0.0885180i
$820$	2.72851			0.0952836
$821$	2.31025	+	8.62197i	0.0806283	+	0.300909i	0.994450	−	0.105206i	$-0.0335501\pi$
$821$	2.31025	+	8.62197i	0.0806283	+	0.300909i	−0.913822	+	0.406114i	$0.866883\pi$
$822$	−2.58089	+	1.49008i	−0.0900188	+	0.0519724i
$823$	15.7750	−	9.10768i	0.549881	−	0.317474i	−0.199193	−	0.979960i	$-0.563832\pi$
$823$	15.7750	−	9.10768i	0.549881	−	0.317474i	0.749074	+	0.662487i	$0.230499\pi$
$824$	−27.3006	+	7.31517i	−0.951061	+	0.254836i
$825$	8.23589	+	8.23589i	0.286737	+	0.286737i
$826$	20.9419	+	22.2955i	0.728662	+	0.775760i
$827$	22.9060	+	22.9060i	0.796520	+	0.796520i	0.982545	−	0.186025i	$-0.0595605\pi$
$827$	22.9060	+	22.9060i	0.796520	+	0.796520i	−0.186025	+	0.982545i	$0.559561\pi$
$828$	−7.36143	+	12.7504i	−0.255827	+	0.443106i
$829$	14.1448	+	24.4995i	0.491268	+	0.850901i	0.999949	−	0.0100536i	$-0.00320020\pi$
$829$	14.1448	+	24.4995i	0.491268	+	0.850901i	−0.508681	+	0.860955i	$0.669867\pi$
$830$	3.25081	−	12.1322i	0.112837	−	0.421115i
$831$	1.22457	−	2.12102i	0.0424800	−	0.0735775i
$832$	39.8753	+	21.7468i	1.38243	+	0.753935i
$833$	−37.5064	+	18.6295i	−1.29952	+	0.645474i
$834$	16.1352	−	16.1352i	0.558717	−	0.558717i
$835$	−3.67060	+	6.35766i	−0.127026	+	0.220016i
$836$	6.28416	+	10.8845i	0.217342	+	0.376448i
$837$	7.61556	+	2.04058i	0.263232	+	0.0705329i
$838$	13.5642	−	3.63452i	0.468567	−	0.125552i
$839$	15.9512	−	15.9512i	0.550698	−	0.550698i	−0.375945	−	0.926642i	$-0.622682\pi$
$839$	15.9512	−	15.9512i	0.550698	−	0.550698i	0.926642	+	0.375945i	$0.122682\pi$
$840$	2.19818	−	2.06472i	0.0758445	−	0.0712398i
$841$	−28.9942			−0.999799
$842$	15.5132	+	8.95655i	0.534620	+	0.308663i
$843$	−27.5122	−	7.37188i	−0.947572	−	0.253901i
$844$	−42.5005	+	24.5377i	−1.46293	+	0.844622i
$845$	−6.29355	−	5.70934i	−0.216505	−	0.196407i
$846$		−	7.40856i		−	0.254712i
$847$	11.6225	−	2.72749i	0.399353	−	0.0937178i
$848$	−2.46883			−0.0847800
$849$	−5.27692	−	3.04663i	−0.181103	−	0.104560i
$850$	15.5066	−	57.8713i	0.531871	−	1.98497i
$851$	56.2704	+	15.0776i	1.92892	+	0.516854i
$852$	4.58761	+	17.1212i	0.157169	+	0.586563i
$853$	22.1904	−	22.1904i	0.759784	−	0.759784i	−0.216499	−	0.976283i	$-0.569464\pi$
$853$	22.1904	−	22.1904i	0.759784	−	0.759784i	0.976283	+	0.216499i	$0.0694639\pi$
$854$	−8.37604	−	15.6168i	−0.286622	−	0.534395i
$855$		−	1.15343i		−	0.0394465i
$856$	−29.5140	+	7.90826i	−1.00877	+	0.270299i
$857$	0.305420	+	0.529004i	0.0104330	+	0.0180704i	0.871195	−	0.490938i	$-0.163346\pi$
$857$	0.305420	+	0.529004i	0.0104330	+	0.0180704i	−0.860762	+	0.509008i	$0.830012\pi$
$858$	−0.489036	−	20.1068i	−0.0166954	−	0.686435i
$859$	−22.0653	−	12.7394i	−0.752858	−	0.434663i	0.0738678	−	0.997268i	$-0.476466\pi$
$859$	−22.0653	−	12.7394i	−0.752858	−	0.434663i	−0.826726	+	0.562605i	$0.809799\pi$
$860$	−1.16503	−	1.16503i	−0.0397271	−	0.0397271i
$861$	−3.48058	+	1.86680i	−0.118618	+	0.0636205i
$862$		−	21.3195i		−	0.726145i
$863$	−1.88235	−	7.02503i	−0.0640760	−	0.239135i	0.926459	−	0.376396i	$-0.122837\pi$
$863$	−1.88235	−	7.02503i	−0.0640760	−	0.239135i	−0.990535	+	0.137261i	$0.956170\pi$
$864$	1.90790	−	7.12039i	0.0649081	−	0.242240i
$865$	−1.66858	+	6.22722i	−0.0567334	+	0.211732i
$866$	7.44479	+	27.7843i	0.252984	+	0.944150i
$867$			18.7915i			0.638194i
$868$	−49.5773	−	30.7310i	−1.68276	−	1.04308i
$869$	−20.1799	−	20.1799i	−0.684556	−	0.684556i
$870$	0.0946942	+	0.0546717i	0.00321043	+	0.00185355i
$871$	9.03773	−	9.48832i	0.306232	−	0.321499i
$872$	−13.0039	−	22.5233i	−0.440366	−	0.762736i
$873$	9.41767	−	2.52346i	0.318740	−	0.0854061i
$874$		−	20.3477i		−	0.688270i
$875$	−0.518024	+	16.5468i	−0.0175124	+	0.559384i
$876$	−30.6244	+	30.6244i	−1.03470	+	1.03470i
$877$	5.27177	+	19.6745i	0.178015	+	0.664361i	0.996018	+	0.0891479i	$0.0284144\pi$
$877$	5.27177	+	19.6745i	0.178015	+	0.664361i	−0.818003	+	0.575214i	$0.804919\pi$
$878$	14.5927	+	3.91011i	0.492481	+	0.131960i
$879$	2.29349	−	8.55941i	0.0773574	−	0.288702i
$880$	2.55699	+	1.47628i	0.0861961	+	0.0497653i
$881$	−9.30783			−0.313589			−0.156794	−	0.987631i	$-0.550116\pi$
$881$	−9.30783			−0.313589			−0.156794	+	0.987631i	$0.550116\pi$
$882$	−4.88626	+	14.5307i	−0.164529	+	0.489275i
$883$		−	20.6192i		−	0.693891i	−0.937885	−	0.346945i	$-0.887219\pi$
$883$		−	20.6192i		−	0.693891i	0.937885	−	0.346945i	$-0.112781\pi$
$884$	−51.4875	+	31.4198i	−1.73171	+	1.05676i
$885$	−2.98833	+	1.72531i	−0.100452	+	0.0579958i
$886$	49.2735	+	13.2028i	1.65538	+	0.443557i
$887$	−16.2365	−	9.37414i	−0.545168	−	0.314753i	0.202003	−	0.979385i	$-0.435255\pi$
$887$	−16.2365	−	9.37414i	−0.545168	−	0.314753i	−0.747171	+	0.664632i	$0.768588\pi$
$888$	19.2946			0.647485
$889$	−28.8218	−	30.6847i	−0.966651	−	1.02913i
$890$	9.35212	−	9.35212i	0.313484	−	0.313484i
$891$	−2.46032	+	0.659241i	−0.0824238	+	0.0220854i
$892$	9.78793	+	2.62267i	0.327724	+	0.0878134i
$893$	2.98471	+	5.16967i	0.0998795	+	0.172996i
$894$	4.95602	−	8.58407i	0.165754	−	0.287094i
$895$	−11.0922	+	11.0922i	−0.370771	+	0.370771i
$896$	−17.9053	+	28.8860i	−0.598174	+	0.965013i
$897$	−9.08937	+	16.6664i	−0.303485	+	0.556476i
$898$	−16.5157	+	28.6060i	−0.551136	+	0.954596i
$899$	0.155867	−	0.581703i	0.00519845	−	0.0194009i
$900$	−6.39332	−	11.0736i	−0.213111	−	0.369119i
$901$	4.16430	−	7.21279i	0.138733	−	0.240293i
$902$	5.88829	+	5.88829i	0.196059	+	0.196059i
$903$	2.28324	+	0.689053i	0.0759815	+	0.0229302i
$904$	−1.16435	−	1.16435i	−0.0387258	−	0.0387258i
$905$	4.31835	−	1.15710i	0.143547	−	0.0384632i
$906$	8.24134	−	4.75814i	0.273800	−	0.158079i
$907$	−8.16685	+	4.71513i	−0.271176	+	0.156563i	−0.629422	−	0.777064i	$-0.716708\pi$
$907$	−8.16685	+	4.71513i	−0.271176	+	0.156563i	0.358246	+	0.933627i	$0.383375\pi$
$908$	−9.39549	−	35.0644i	−0.311800	−	1.16365i
$909$	−6.14938			−0.203962
$910$	9.72319	−	9.58841i	0.322321	−	0.317853i
$911$	7.10474			0.235391			0.117695	−	0.993050i	$-0.462449\pi$
$911$	7.10474			0.235391			0.117695	+	0.993050i	$0.462449\pi$
$912$	0.809944	+	3.02275i	0.0268199	+	0.100093i
$913$	19.3545	−	11.1743i	0.640539	−	0.369815i
$914$	−23.5651	+	13.6053i	−0.779465	+	0.450025i
$915$	1.93098	−	0.517404i	0.0638362	−	0.0171049i
$916$	22.9809	+	22.9809i	0.759310	+	0.759310i
$917$	−37.5250	+	8.80613i	−1.23918	+	0.290804i
$918$	9.26461	+	9.26461i	0.305778	+	0.305778i
$919$	16.9808	−	29.4116i	0.560145	−	0.970199i	−0.437338	−	0.899297i	$-0.644079\pi$
$919$	16.9808	−	29.4116i	0.560145	−	0.970199i	0.997483	−	0.0709024i	$-0.0225879\pi$
$920$	3.00080	+	5.19754i	0.0989335	+	0.171358i
$921$	−7.45314	+	27.8155i	−0.245589	+	0.916552i
$922$	−24.8742	+	43.0834i	−0.819188	+	1.41887i
$923$	6.45037	+	21.9260i	0.212316	+	0.721702i
$924$	18.8349	+	0.589656i	0.619623	+	0.0193983i
$925$	−35.7755	+	35.7755i	−1.17629	+	1.17629i
$926$	−7.08555	+	12.2725i	−0.232846	+	0.403301i
$927$	8.10374	+	14.0361i	0.266162	+	0.461005i
$928$	−0.543880	−	0.145732i	−0.0178537	−	0.00478389i
$929$	−13.9188	+	3.72954i	−0.456662	+	0.122362i	−0.479815	−	0.877370i	$-0.659296\pi$
$929$	−13.9188	+	3.72954i	−0.456662	+	0.122362i	0.0231532	+	0.999732i	$0.492629\pi$
$930$	7.98061	−	7.98061i	0.261695	−	0.261695i
$931$	−2.44442	−	12.1080i	−0.0801126	−	0.396824i
$932$	72.4458			2.37304
$933$	−2.55354	−	1.47429i	−0.0835991	−	0.0482660i
$934$	63.5214	+	17.0205i	2.07848	+	0.556928i
$935$	−8.62601	+	4.98023i	−0.282101	+	0.162871i
$936$	−1.47920	+	6.11113i	−0.0483491	+	0.199748i
$937$		−	5.67717i		−	0.185465i	−0.995691	−	0.0927325i	$-0.970440\pi$
$937$		−	5.67717i		−	0.185465i	0.995691	−	0.0927325i	$-0.0295601\pi$
$938$	14.4173	+	15.3492i	0.470742	+	0.501169i
$939$	12.4212			0.405351
$940$	−5.35468	−	3.09152i	−0.174650	−	0.100834i
$941$	−2.64228	+	9.86113i	−0.0861360	+	0.321464i	−0.995527	−	0.0944787i	$-0.969882\pi$
$941$	−2.64228	+	9.86113i	−0.0861360	+	0.321464i	0.909391	+	0.415942i	$0.136548\pi$
$942$	10.2917	+	2.75765i	0.335321	+	0.0898491i
$943$	−2.03429	−	7.59208i	−0.0662457	−	0.247232i
$944$	6.61988	−	6.61988i	0.215459	−	0.215459i
$945$	−1.46990	−	0.911131i	−0.0478157	−	0.0296391i
$946$		−	5.02840i		−	0.163487i
$947$	−34.3096	+	9.19324i	−1.11491	+	0.298740i	−0.768823	−	0.639461i	$-0.779157\pi$
$947$	−34.3096	+	9.19324i	−1.11491	+	0.298740i	−0.346090	+	0.938201i	$0.612491\pi$
$948$	15.6652	+	27.1329i	0.508782	+	0.881235i
$949$	−38.5157	+	40.4360i	−1.25027	+	1.31261i
$950$	15.3042	+	8.83587i	0.496533	+	0.286673i
$951$	10.7969	+	10.7969i	0.350114	+	0.350114i
$952$	−13.0466	−	24.3248i	−0.422843	−	0.788372i
$953$		−	24.3020i		−	0.787219i	−0.919278	−	0.393609i	$-0.871226\pi$
$953$		−	24.3020i		−	0.787219i	0.919278	−	0.393609i	$-0.128774\pi$
$954$	−0.789097	−	2.94495i	−0.0255480	−	0.0953463i
$955$	0.492742	−	1.83894i	0.0159448	−	0.0595067i
$956$	11.1475	−	41.6030i	0.360536	−	1.34554i
$957$	0.0503551	+	0.187928i	0.00162775	+	0.00607485i
$958$		−	82.7142i		−	2.67238i
$959$	−1.70169	−	3.17273i	−0.0549505	−	0.102453i
$960$	−5.82238	−	5.82238i	−0.187916	−	0.187916i
$961$	−26.9860	−	15.5804i	−0.870516	−	0.502593i
$962$	87.3411	−	2.12430i	2.81599	−	0.0684903i
$963$	8.76076	+	15.1741i	0.282312	+	0.488978i
$964$	31.5293	−	8.44826i	1.01549	−	0.272100i
$965$		−	4.31261i		−	0.138828i
$966$	−25.9304	−	16.0733i	−0.834298	−	0.517149i
$967$	34.1587	−	34.1587i	1.09847	−	1.09847i	0.103880	−	0.994590i	$-0.466874\pi$
$967$	34.1587	−	34.1587i	1.09847	−	1.09847i	0.994590	−	0.103880i	$-0.0331259\pi$
$968$	2.03657	+	7.60059i	0.0654579	+	0.244292i
$969$	−10.1973	−	2.73235i	−0.327583	−	0.0877757i
$970$	3.61235	−	13.4815i	0.115985	−	0.432864i
$971$	−23.1545	−	13.3683i	−0.743064	−	0.429008i	0.0801184	−	0.996785i	$-0.474470\pi$
$971$	−23.1545	−	13.3683i	−0.743064	−	0.429008i	−0.823182	+	0.567777i	$0.807803\pi$
$972$	2.79627			0.0896904
$973$	18.8732	+	20.0931i	0.605047	+	0.644155i
$974$		−	44.7100i		−	1.43260i
$975$	−8.58838	−	14.0737i	−0.275048	−	0.450720i
$976$	−4.69712	+	2.71189i	−0.150351	+	0.0868053i
$977$	−23.7744	−	6.37034i	−0.760612	−	0.203805i	−0.142392	−	0.989810i	$-0.545479\pi$
$977$	−23.7744	−	6.37034i	−0.760612	−	0.203805i	−0.618220	+	0.786005i	$0.712146\pi$
$978$	0.566330	+	0.326971i	0.0181092	+	0.0104554i
$979$	23.5331			0.752122
$980$	8.46336	+	9.59517i	0.270352	+	0.306506i
$981$	−10.5457	+	10.5457i	−0.336697	+	0.336697i
$982$	73.0661	−	19.5780i	2.33163	−	0.624759i
$983$	1.19986	+	0.321501i	0.0382695	+	0.0102543i	0.277903	−	0.960609i	$-0.410361\pi$
$983$	1.19986	+	0.321501i	0.0382695	+	0.0102543i	−0.239634	+	0.970863i	$0.577027\pi$
$984$	−1.30163	−	2.25449i	−0.0414944	−	0.0718705i
$985$	7.80603	−	13.5204i	0.248721	−	0.430797i
$986$	0.707663	−	0.707663i	0.0225366	−	0.0225366i
$987$	8.94578	+	0.280062i	0.284747	+	0.00891446i
$988$	−5.02114	−	17.0678i	−0.159744	−	0.542998i
$989$	−2.37308	+	4.11030i	−0.0754596	+	0.130700i
$990$	−0.943707	+	3.52196i	−0.0299930	+	0.111935i
$991$	−13.4870	−	23.3602i	−0.428429	−	0.742061i	0.568305	−	0.822818i	$-0.307600\pi$
$991$	−13.4870	−	23.3602i	−0.428429	−	0.742061i	−0.996734	+	0.0807570i	$0.974266\pi$
$992$	−29.0595	+	50.3325i	−0.922639	+	1.59806i
$993$	−11.0379	−	11.0379i	−0.350278	−	0.350278i
$994$	−35.7578	+	8.39144i	−1.13417	+	0.266160i
$995$	−0.372443	−	0.372443i	−0.0118072	−	0.0118072i
$996$	−23.6988	+	6.35006i	−0.750924	+	0.201209i
$997$	29.5536	−	17.0628i	0.935973	−	0.540384i	0.0472772	−	0.998882i	$-0.484946\pi$
$997$	29.5536	−	17.0628i	0.935973	−	0.540384i	0.888696	+	0.458498i	$0.151612\pi$
$998$	−3.16593	+	1.82785i	−0.100216	+	0.0578596i
$999$	−2.86365	−	10.6873i	−0.0906018	−	0.338131i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.a.187.1	yes	36
3.2	odd	2		819.2.fn.f.460.9		36
7.3	odd	6		273.2.bz.b.31.9	yes	36
13.8	odd	4		273.2.bz.b.229.9	yes	36
21.17	even	6		819.2.fn.g.577.1		36
39.8	even	4		819.2.fn.g.775.1		36
91.73	even	12	inner	273.2.bz.a.73.1	✓	36
273.164	odd	12		819.2.fn.f.73.9		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.73.1	✓	36	91.73	even	12	inner
273.2.bz.a.187.1	yes	36	1.1	even	1	trivial
273.2.bz.b.31.9	yes	36	7.3	odd	6
273.2.bz.b.229.9	yes	36	13.8	odd	4
819.2.fn.f.73.9		36	273.164	odd	12
819.2.fn.f.460.9		36	3.2	odd	2
819.2.fn.g.577.1		36	21.17	even	6
819.2.fn.g.775.1		36	39.8	even	4

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.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.566824 - 2.11542i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-2.42164 + 1.39814i) q^{4} +(0.631372 - 0.169176i) q^{5} +(-1.54859 - 1.54859i) q^{6} +(1.92845 - 1.81137i) q^{7} +(1.23310 + 1.23310i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.566824 - 2.11542i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-2.42164 + 1.39814i) q^{4} +(0.631372 - 0.169176i) q^{5} +(-1.54859 - 1.54859i) q^{6} +(1.92845 - 1.81137i) q^{7} +(1.23310 + 1.23310i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.715753 - 1.23972i) q^{10} +(0.659241 - 2.46032i) q^{11} +(-1.39814 + 2.42164i) q^{12} +(-1.72632 + 3.16541i) q^{13} +(-4.92490 - 3.05275i) q^{14} +(0.462196 - 0.462196i) q^{15} +(-0.886704 + 1.53582i) q^{16} +(-2.99130 - 5.18109i) q^{17} +(-2.11542 - 0.566824i) q^{18} +(1.70449 - 0.456716i) q^{19} +(-1.29243 + 1.29243i) q^{20} +(0.764403 - 2.53292i) q^{21} -5.57827 q^{22} +(4.55977 + 2.63259i) q^{23} +(1.68444 + 0.451346i) q^{24} +(-3.96012 + 2.28637i) q^{25} +(7.67468 + 1.85765i) q^{26} -1.00000i q^{27} +(-2.13748 + 7.08273i) q^{28} -0.0763835 q^{29} +(-1.23972 - 0.715753i) q^{30} +(-2.04058 + 7.61556i) q^{31} +(7.12039 + 1.90790i) q^{32} +(-0.659241 - 2.46032i) q^{33} +(-9.26461 + 9.26461i) q^{34} +(0.911131 - 1.46990i) q^{35} +2.79627i q^{36} +(10.6873 - 2.86365i) q^{37} +(-1.93229 - 3.34682i) q^{38} +(0.0876680 + 3.60449i) q^{39} +(0.987154 + 0.569934i) q^{40} +(-1.05558 - 1.05558i) q^{41} +(-5.79146 - 0.181311i) q^{42} +0.901426i q^{43} +(1.84342 + 6.87972i) q^{44} +(0.169176 - 0.631372i) q^{45} +(2.98443 - 11.1380i) q^{46} +(0.875544 + 3.26758i) q^{47} +1.77341i q^{48} +(0.437863 - 6.98629i) q^{49} +(7.08132 + 7.08132i) q^{50} +(-5.18109 - 2.99130i) q^{51} +(-0.245144 - 10.0791i) q^{52} +(0.696069 + 1.20563i) q^{53} +(-2.11542 + 0.566824i) q^{54} -1.66490i q^{55} +(4.61158 + 0.144373i) q^{56} +(1.24777 - 1.24777i) q^{57} +(0.0432960 + 0.161583i) q^{58} +(-5.09918 - 1.36632i) q^{59} +(-0.473061 + 1.76549i) q^{60} +(2.64864 + 1.52919i) q^{61} +17.2667 q^{62} +(-0.604468 - 2.57578i) q^{63} -12.5972i q^{64} +(-0.554440 + 2.29060i) q^{65} +(-4.83093 + 2.78914i) q^{66} +(-3.51049 - 0.940634i) q^{67} +(14.4877 + 8.36449i) q^{68} +5.26517 q^{69} +(-3.62589 - 1.09425i) q^{70} +(4.48225 - 4.48225i) q^{71} +(1.68444 - 0.451346i) q^{72} +(14.9605 + 4.00866i) q^{73} +(-12.1156 - 20.9849i) q^{74} +(-2.28637 + 3.96012i) q^{75} +(-3.48911 + 3.48911i) q^{76} +(-3.18524 - 5.93874i) q^{77} +(7.57529 - 2.22856i) q^{78} +(5.60217 - 9.70324i) q^{79} +(-0.300017 + 1.11968i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-1.63466 + 2.83131i) q^{82} +(6.20423 + 6.20423i) q^{83} +(1.69026 + 7.20257i) q^{84} +(-2.76514 - 2.76514i) q^{85} +(1.90689 - 0.510949i) q^{86} +(-0.0661501 + 0.0381918i) q^{87} +(3.84673 - 2.22091i) q^{88} +(2.39127 + 8.92433i) q^{89} -1.43151 q^{90} +(2.40461 + 9.23135i) q^{91} -14.7229 q^{92} +(2.04058 + 7.61556i) q^{93} +(6.41600 - 3.70428i) q^{94} +(0.998900 - 0.576715i) q^{95} +(7.12039 - 1.90790i) q^{96} +(6.89422 + 6.89422i) q^{97} +(-15.0271 + 3.03374i) q^{98} +(-1.80108 - 1.80108i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q - 6 * q^7 + 18 * q^9	\( 36 q - 6 q^{7} + 18 q^{9} + 4 q^{11} - 16 q^{12} - 36 q^{14} + 12 q^{16} + 4 q^{17} - 18 q^{19} + 44 q^{20} + 2 q^{21} - 8 q^{22} - 12 q^{23} - 18 q^{24} - 48 q^{25} - 32 q^{26} + 4 q^{28} - 16 q^{29} - 6 q^{31} + 76 q^{32} - 4 q^{33} - 48 q^{34} + 8 q^{35} - 8 q^{37} + 16 q^{38} + 10 q^{39} + 60 q^{40} - 32 q^{41} + 12 q^{42} + 4 q^{44} + 28 q^{46} + 14 q^{47} + 6 q^{49} - 68 q^{50} - 12 q^{51} - 62 q^{52} - 8 q^{53} - 8 q^{56} - 6 q^{57} + 36 q^{58} + 26 q^{59} - 46 q^{60} + 36 q^{61} + 48 q^{62} - 8 q^{65} - 40 q^{67} + 36 q^{68} - 8 q^{69} - 64 q^{70} - 36 q^{71} - 18 q^{72} - 8 q^{73} + 40 q^{74} + 10 q^{75} - 60 q^{76} + 60 q^{77} + 32 q^{78} + 26 q^{80} - 18 q^{81} + 24 q^{83} - 18 q^{84} + 44 q^{85} + 48 q^{86} + 36 q^{87} + 168 q^{88} + 10 q^{89} + 4 q^{91} - 40 q^{92} + 6 q^{93} + 76 q^{96} + 36 q^{97} + 38 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q - 6 * q^7 + 18 * q^9 + 4 * q^11 - 16 * q^12 - 36 * q^14 + 12 * q^16 + 4 * q^17 - 18 * q^19 + 44 * q^20 + 2 * q^21 - 8 * q^22 - 12 * q^23 - 18 * q^24 - 48 * q^25 - 32 * q^26 + 4 * q^28 - 16 * q^29 - 6 * q^31 + 76 * q^32 - 4 * q^33 - 48 * q^34 + 8 * q^35 - 8 * q^37 + 16 * q^38 + 10 * q^39 + 60 * q^40 - 32 * q^41 + 12 * q^42 + 4 * q^44 + 28 * q^46 + 14 * q^47 + 6 * q^49 - 68 * q^50 - 12 * q^51 - 62 * q^52 - 8 * q^53 - 8 * q^56 - 6 * q^57 + 36 * q^58 + 26 * q^59 - 46 * q^60 + 36 * q^61 + 48 * q^62 - 8 * q^65 - 40 * q^67 + 36 * q^68 - 8 * q^69 - 64 * q^70 - 36 * q^71 - 18 * q^72 - 8 * q^73 + 40 * q^74 + 10 * q^75 - 60 * q^76 + 60 * q^77 + 32 * q^78 + 26 * q^80 - 18 * q^81 + 24 * q^83 - 18 * q^84 + 44 * q^85 + 48 * q^86 + 36 * q^87 + 168 * q^88 + 10 * q^89 + 4 * q^91 - 40 * q^92 + 6 * q^93 + 76 * q^96 + 36 * q^97 + 38 * q^98 + 8 * q^99

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