LMFDB - Embedded newform 273.2.bh.a.131.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(131,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 0]))

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

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

chi := DirichletCharacter("273.131");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bh (of order $6$, degree $2$, 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:	$64$
Relative dimension:	$32$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			131.5
Character	$\chi$	$=$	273.131
Dual form			273.2.bh.a.248.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.75475 - 1.01310i) q^{2} +(0.351400 - 1.69603i) q^{3} +(1.05276 + 1.82344i) q^{4} +(0.867268 - 1.50215i) q^{5} +(-2.33487 + 2.62010i) q^{6} +(-1.44131 - 2.21870i) q^{7} -0.213809i q^{8} +(-2.75304 - 1.19197i) q^{9} +O(q^{10})$	\(q+(-1.75475 - 1.01310i) q^{2} +(0.351400 - 1.69603i) q^{3} +(1.05276 + 1.82344i) q^{4} +(0.867268 - 1.50215i) q^{5} +(-2.33487 + 2.62010i) q^{6} +(-1.44131 - 2.21870i) q^{7} -0.213809i q^{8} +(-2.75304 - 1.19197i) q^{9} +(-3.04367 + 1.75727i) q^{10} +(1.31189 - 0.757418i) q^{11} +(3.46254 - 1.14476i) q^{12} -1.00000i q^{13} +(0.281367 + 5.35346i) q^{14} +(-2.24294 - 1.99877i) q^{15} +(1.88891 - 3.27169i) q^{16} +(0.154043 + 0.266810i) q^{17} +(3.62330 + 4.88072i) q^{18} +(-2.66086 - 1.53625i) q^{19} +3.65210 q^{20} +(-4.26945 + 1.66486i) q^{21} -3.06937 q^{22} +(0.576577 + 0.332887i) q^{23} +(-0.362627 - 0.0751324i) q^{24} +(0.995693 + 1.72459i) q^{25} +(-1.01310 + 1.75475i) q^{26} +(-2.98903 + 4.25038i) q^{27} +(2.52829 - 4.96390i) q^{28} +5.66850i q^{29} +(1.91083 + 5.77966i) q^{30} +(-7.48790 + 4.32314i) q^{31} +(-6.99945 + 4.04114i) q^{32} +(-0.823607 - 2.49115i) q^{33} -0.624246i q^{34} +(-4.58282 + 0.240864i) q^{35} +(-0.724811 - 6.27484i) q^{36} +(4.16394 - 7.21215i) q^{37} +(3.11276 + 5.39145i) q^{38} +(-1.69603 - 0.351400i) q^{39} +(-0.321174 - 0.185430i) q^{40} -3.26198 q^{41} +(9.17849 + 1.40399i) q^{42} +4.68236 q^{43} +(2.76220 + 1.59476i) q^{44} +(-4.17814 + 3.10172i) q^{45} +(-0.674498 - 1.16826i) q^{46} +(5.48893 - 9.50711i) q^{47} +(-4.88512 - 4.35332i) q^{48} +(-2.84524 + 6.39567i) q^{49} -4.03497i q^{50} +(0.506648 - 0.167504i) q^{51} +(1.82344 - 1.05276i) q^{52} +(8.24085 - 4.75786i) q^{53} +(9.55107 - 4.43014i) q^{54} -2.62754i q^{55} +(-0.474378 + 0.308166i) q^{56} +(-3.54054 + 3.97306i) q^{57} +(5.74278 - 9.94679i) q^{58} +(-5.29169 - 9.16547i) q^{59} +(1.28335 - 6.19408i) q^{60} +(1.22105 + 0.704974i) q^{61} +17.5192 q^{62} +(1.32337 + 7.82615i) q^{63} +8.82073 q^{64} +(-1.50215 - 0.867268i) q^{65} +(-1.07858 + 5.20575i) q^{66} +(-2.53858 - 4.39695i) q^{67} +(-0.324340 + 0.561774i) q^{68} +(0.767195 - 0.860915i) q^{69} +(8.28572 + 4.22022i) q^{70} -1.91112i q^{71} +(-0.254854 + 0.588624i) q^{72} +(0.795968 - 0.459553i) q^{73} +(-14.6133 + 8.43701i) q^{74} +(3.27485 - 1.08271i) q^{75} -6.46920i q^{76} +(-3.57132 - 1.81900i) q^{77} +(2.62010 + 2.33487i) q^{78} +(5.27552 - 9.13746i) q^{79} +(-3.27638 - 5.67486i) q^{80} +(6.15842 + 6.56307i) q^{81} +(5.72395 + 3.30472i) q^{82} +16.3443 q^{83} +(-7.53048 - 6.03238i) q^{84} +0.534385 q^{85} +(-8.21636 - 4.74372i) q^{86} +(9.61395 + 1.99191i) q^{87} +(-0.161943 - 0.280493i) q^{88} +(-2.53503 + 4.39080i) q^{89} +(10.4739 - 1.20985i) q^{90} +(-2.21870 + 1.44131i) q^{91} +1.40180i q^{92} +(4.70093 + 14.2189i) q^{93} +(-19.2634 + 11.1217i) q^{94} +(-4.61535 + 2.66467i) q^{95} +(4.39428 + 13.2913i) q^{96} -18.2497i q^{97} +(11.4722 - 8.34027i) q^{98} +(-4.51449 + 0.521472i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q + 32 q^{4} - 4 q^{7} - 4 q^{9}+O(q^{10}) $ 64 * q + 32 * q^4 - 4 * q^7 - 4 * q^9	$ 64 q + 32 q^{4} - 4 q^{7} - 4 q^{9} - 12 q^{10} - 30 q^{12} + 12 q^{15} - 16 q^{16} - 10 q^{18} + 10 q^{21} - 8 q^{22} + 36 q^{24} - 36 q^{25} - 20 q^{28} - 22 q^{30} + 12 q^{31} + 36 q^{36} - 36 q^{40} + 48 q^{42} - 32 q^{43} - 6 q^{45} - 48 q^{46} + 36 q^{49} - 16 q^{51} - 54 q^{54} - 8 q^{57} - 12 q^{58} + 16 q^{60} - 72 q^{61} - 86 q^{63} - 48 q^{64} - 78 q^{66} + 32 q^{67} - 4 q^{70} + 62 q^{72} + 48 q^{73} + 48 q^{75} - 20 q^{78} - 64 q^{79} + 28 q^{81} + 72 q^{82} - 18 q^{84} + 64 q^{85} + 60 q^{87} + 44 q^{88} + 8 q^{91} - 38 q^{93} + 72 q^{94} + 66 q^{96} - 68 q^{99}+O(q^{100}) $ 64 * q + 32 * q^4 - 4 * q^7 - 4 * q^9 - 12 * q^10 - 30 * q^12 + 12 * q^15 - 16 * q^16 - 10 * q^18 + 10 * q^21 - 8 * q^22 + 36 * q^24 - 36 * q^25 - 20 * q^28 - 22 * q^30 + 12 * q^31 + 36 * q^36 - 36 * q^40 + 48 * q^42 - 32 * q^43 - 6 * q^45 - 48 * q^46 + 36 * q^49 - 16 * q^51 - 54 * q^54 - 8 * q^57 - 12 * q^58 + 16 * q^60 - 72 * q^61 - 86 * q^63 - 48 * q^64 - 78 * q^66 + 32 * q^67 - 4 * q^70 + 62 * q^72 + 48 * q^73 + 48 * q^75 - 20 * q^78 - 64 * q^79 + 28 * q^81 + 72 * q^82 - 18 * q^84 + 64 * q^85 + 60 * q^87 + 44 * q^88 + 8 * q^91 - 38 * q^93 + 72 * q^94 + 66 * q^96 - 68 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	−1.75475	−	1.01310i	−1.24079	−	0.716373i	−0.271538	−	0.962428i	$-0.587532\pi$
$2$	−1.75475	−	1.01310i	−1.24079	−	0.716373i	−0.969256	+	0.246055i	$0.920866\pi$
$3$	0.351400	−	1.69603i	0.202881	−	0.979203i
$3$	0.351400	−	1.69603i	0.202881	−	0.979203i
$4$	1.05276	+	1.82344i	0.526380	+	0.911718i
$5$	0.867268	−	1.50215i	0.387854	−	0.671783i	−0.604307	−	0.796752i	$-0.706550\pi$
$5$	0.867268	−	1.50215i	0.387854	−	0.671783i	0.992161	+	0.124969i	$0.0398832\pi$
$6$	−2.33487	+	2.62010i	−0.953208	+	1.06965i
$7$	−1.44131	−	2.21870i	−0.544765	−	0.838589i
$7$	−1.44131	−	2.21870i	−0.544765	−	0.838589i
$8$		−	0.213809i		−	0.0755929i
$9$	−2.75304	−	1.19197i	−0.917679	−	0.397323i
$10$	−3.04367	+	1.75727i	−0.962494	+	0.555696i
$11$	1.31189	−	0.757418i	0.395548	−	0.228370i	−0.289013	−	0.957325i	$-0.593327\pi$
$11$	1.31189	−	0.757418i	0.395548	−	0.228370i	0.684561	+	0.728955i	$0.259994\pi$
$12$	3.46254	−	1.14476i	0.999550	−	0.330464i
$13$		−	1.00000i		−	0.277350i
$13$		−	1.00000i		−	0.277350i
$14$	0.281367	+	5.35346i	0.0751986	+	1.43077i
$15$	−2.24294	−	1.99877i	−0.579124	−	0.516080i
$16$	1.88891	−	3.27169i	0.472228	−	0.817922i
$17$	0.154043	+	0.266810i	0.0373609	+	0.0647109i	0.884101	−	0.467295i	$-0.154772\pi$
$17$	0.154043	+	0.266810i	0.0373609	+	0.0647109i	−0.846740	+	0.532006i	$0.821438\pi$
$18$	3.62330	+	4.88072i	0.854019	+	1.15040i
$19$	−2.66086	−	1.53625i	−0.610442	−	0.352439i	0.162696	−	0.986676i	$-0.447981\pi$
$19$	−2.66086	−	1.53625i	−0.610442	−	0.352439i	−0.773139	+	0.634237i	$0.781314\pi$
$20$	3.65210			0.816635
$21$	−4.26945	+	1.66486i	−0.931671	+	0.363302i
$22$	−3.06937			−0.654392
$23$	0.576577	+	0.332887i	0.120225	+	0.0694117i	0.558906	−	0.829231i	$-0.311221\pi$
$23$	0.576577	+	0.332887i	0.120225	+	0.0694117i	−0.438682	+	0.898642i	$0.644554\pi$
$24$	−0.362627	−	0.0751324i	−0.0740208	−	0.0153363i
$25$	0.995693	+	1.72459i	0.199139	+	0.344918i
$26$	−1.01310	+	1.75475i	−0.198686	+	0.344134i
$27$	−2.98903	+	4.25038i	−0.575239	+	0.817985i
$28$	2.52829	−	4.96390i	0.477803	−	0.938088i
$29$			5.66850i			1.05261i	0.850295	+	0.526307i	$0.176424\pi$
$29$			5.66850i			1.05261i	−0.850295	+	0.526307i	$0.823576\pi$
$30$	1.91083	+	5.77966i	0.348868	+	1.05522i
$31$	−7.48790	+	4.32314i	−1.34487	+	0.776459i	−0.987517	−	0.157512i	$-0.949653\pi$
$31$	−7.48790	+	4.32314i	−1.34487	+	0.776459i	−0.357349	+	0.933971i	$0.616319\pi$
$32$	−6.99945	+	4.04114i	−1.23734	+	0.714379i
$33$	−0.823607	−	2.49115i	−0.143372	−	0.433654i
$34$		−	0.624246i		−	0.107057i
$35$	−4.58282	+	0.240864i	−0.774639	+	0.0407135i
$36$	−0.724811	−	6.27484i	−0.120802	−	1.04581i
$37$	4.16394	−	7.21215i	0.684547	−	1.18567i	−0.289032	−	0.957319i	$-0.593333\pi$
$37$	4.16394	−	7.21215i	0.684547	−	1.18567i	0.973579	−	0.228351i	$-0.0733333\pi$
$38$	3.11276	+	5.39145i	0.504956	+	0.874609i
$39$	−1.69603	−	0.351400i	−0.271582	−	0.0562690i
$40$	−0.321174	−	0.185430i	−0.0507820	−	0.0293190i
$41$	−3.26198			−0.509435			−0.254718	−	0.967016i	$-0.581982\pi$
$41$	−3.26198			−0.509435			−0.254718	+	0.967016i	$0.581982\pi$
$42$	9.17849	+	1.40399i	1.41627	+	0.216641i
$43$	4.68236			0.714053			0.357026	−	0.934094i	$-0.383791\pi$
$43$	4.68236			0.714053			0.357026	+	0.934094i	$0.383791\pi$
$44$	2.76220	+	1.59476i	0.416418	+	0.240419i
$45$	−4.17814	+	3.10172i	−0.622840	+	0.462378i
$46$	−0.674498	−	1.16826i	−0.0994493	−	0.172251i
$47$	5.48893	−	9.50711i	0.800643	−	1.38675i	−0.118550	−	0.992948i	$-0.537825\pi$
$47$	5.48893	−	9.50711i	0.800643	−	1.38675i	0.919193	−	0.393807i	$-0.128842\pi$
$48$	−4.88512	−	4.35332i	−0.705107	−	0.628348i
$49$	−2.84524	+	6.39567i	−0.406463	+	0.913667i
$50$		−	4.03497i		−	0.570630i
$51$	0.506648	−	0.167504i	0.0709449	−	0.0234553i
$52$	1.82344	−	1.05276i	0.252865	−	0.145992i
$53$	8.24085	−	4.75786i	1.13197	−	0.653542i	0.187539	−	0.982257i	$-0.439949\pi$
$53$	8.24085	−	4.75786i	1.13197	−	0.653542i	0.944429	+	0.328715i	$0.106616\pi$
$54$	9.55107	−	4.43014i	1.29974	−	0.602866i
$55$		−	2.62754i		−	0.354297i
$56$	−0.474378	+	0.308166i	−0.0633914	+	0.0411804i
$57$	−3.54054	+	3.97306i	−0.468957	+	0.526244i
$58$	5.74278	−	9.94679i	0.754064	−	1.30608i
$59$	−5.29169	−	9.16547i	−0.688919	−	1.19324i	−0.972188	−	0.234202i	$-0.924752\pi$
$59$	−5.29169	−	9.16547i	−0.688919	−	1.19324i	0.283269	−	0.959041i	$-0.408581\pi$
$60$	1.28335	−	6.19408i	0.165679	−	0.799652i
$61$	1.22105	+	0.704974i	0.156340	+	0.0902627i	0.576129	−	0.817359i	$-0.304563\pi$
$61$	1.22105	+	0.704974i	0.156340	+	0.0902627i	−0.419789	+	0.907622i	$0.637896\pi$
$62$	17.5192			2.22494
$63$	1.32337	+	7.82615i	0.166728	+	0.986003i
$64$	8.82073			1.10259
$65$	−1.50215	−	0.867268i	−0.186319	−	0.107571i
$66$	−1.07858	+	5.20575i	−0.132764	+	0.640783i
$67$	−2.53858	−	4.39695i	−0.310137	−	0.537174i	0.668255	−	0.743933i	$-0.267042\pi$
$67$	−2.53858	−	4.39695i	−0.310137	−	0.537174i	−0.978392	+	0.206759i	$0.933708\pi$
$68$	−0.324340	+	0.561774i	−0.0393320	+	0.0681251i
$69$	0.767195	−	0.860915i	0.0923594	−	0.103642i
$70$	8.28572	+	4.22022i	0.990333	+	0.504413i
$71$		−	1.91112i		−	0.226808i	−0.993549	−	0.113404i	$-0.963825\pi$
$71$		−	1.91112i		−	0.226808i	0.993549	−	0.113404i	$-0.0361754\pi$
$72$	−0.254854	+	0.588624i	−0.0300348	+	0.0693700i
$73$	0.795968	−	0.459553i	0.0931611	−	0.0537866i	−0.452696	−	0.891665i	$-0.649538\pi$
$73$	0.795968	−	0.459553i	0.0931611	−	0.0537866i	0.545857	+	0.837879i	$0.316204\pi$
$74$	−14.6133	+	8.43701i	−1.69876	+	0.980782i
$75$	3.27485	−	1.08271i	0.378147	−	0.125020i
$76$		−	6.46920i		−	0.742068i
$77$	−3.57132	−	1.81900i	−0.406989	−	0.207295i
$78$	2.62010	+	2.33487i	0.296668	+	0.264372i
$79$	5.27552	−	9.13746i	0.593542	−	1.02804i	−0.400209	−	0.916424i	$-0.631062\pi$
$79$	5.27552	−	9.13746i	0.593542	−	1.02804i	0.993751	−	0.111621i	$-0.0356042\pi$
$80$	−3.27638	−	5.67486i	−0.366311	−	0.634469i
$81$	6.15842	+	6.56307i	0.684269	+	0.729230i
$82$	5.72395	+	3.30472i	0.632104	+	0.364946i
$83$	16.3443			1.79402			0.897012	−	0.442005i	$-0.145733\pi$
$83$	16.3443			1.79402			0.897012	+	0.442005i	$0.145733\pi$
$84$	−7.53048	−	6.03238i	−0.821642	−	0.658186i
$85$	0.534385			0.0579622
$86$	−8.21636	−	4.74372i	−0.885992	−	0.511528i
$87$	9.61395	+	1.99191i	1.03072	+	0.213555i
$88$	−0.161943	−	0.280493i	−0.0172632	−	0.0299007i
$89$	−2.53503	+	4.39080i	−0.268713	+	0.465424i	−0.968530	−	0.248898i	$-0.919932\pi$
$89$	−2.53503	+	4.39080i	−0.268713	+	0.465424i	0.699817	+	0.714322i	$0.253265\pi$
$90$	10.4739	−	1.20985i	1.10405	−	0.127530i
$91$	−2.21870	+	1.44131i	−0.232583	+	0.151091i
$92$			1.40180i			0.146148i
$93$	4.70093	+	14.2189i	0.487464	+	1.47443i
$94$	−19.2634	+	11.1217i	−1.98687	+	1.14712i
$95$	−4.61535	+	2.66467i	−0.473525	+	0.273390i
$96$	4.39428	+	13.2913i	0.448490	+	1.35654i
$97$		−	18.2497i		−	1.85298i	−0.376320	−	0.926490i	$-0.622811\pi$
$97$		−	18.2497i		−	1.85298i	0.376320	−	0.926490i	$-0.377189\pi$
$98$	11.4722	−	8.34027i	1.15886	−	0.842494i
$99$	−4.51449	+	0.521472i	−0.453723	+	0.0524099i
$100$	−2.09645	+	3.63116i	−0.209645	+	0.363116i
$101$	−1.48099	−	2.56516i	−0.147364	−	0.255243i	0.782888	−	0.622163i	$-0.213746\pi$
$101$	−1.48099	−	2.56516i	−0.147364	−	0.255243i	−0.930253	+	0.366920i	$0.880412\pi$
$102$	−1.05874	−	0.219360i	−0.104831	−	0.0217198i
$103$	0.685447	+	0.395743i	0.0675391	+	0.0389937i	0.533389	−	0.845870i	$-0.320918\pi$
$103$	0.685447	+	0.395743i	0.0675391	+	0.0389937i	−0.465850	+	0.884864i	$0.654251\pi$
$104$	−0.213809			−0.0209657
$105$	−1.20189	+	7.85725i	−0.117292	+	0.766789i
$106$	−19.2808			−1.87272
$107$	−13.4774	−	7.78118i	−1.30291	−	0.752235i	−0.322007	−	0.946737i	$-0.604357\pi$
$107$	−13.4774	−	7.78118i	−1.30291	−	0.752235i	−0.980902	+	0.194502i	$0.937691\pi$
$108$	−10.8970	−	0.975675i	−1.04857	−	0.0938844i
$109$	8.54423	+	14.7990i	0.818389	+	1.41749i	0.906869	+	0.421414i	$0.138466\pi$
$109$	8.54423	+	14.7990i	0.818389	+	1.41749i	−0.0884794	+	0.996078i	$0.528201\pi$
$110$	−2.66197	+	4.61066i	−0.253809	+	0.439609i
$111$	−10.7688	−	9.59651i	−1.02213	−	0.910860i
$112$	−9.98140	+	0.524603i	−0.943154	+	0.0495704i
$113$			0.621896i			0.0585030i	0.999572	+	0.0292515i	$0.00931238\pi$
$113$			0.621896i			0.0585030i	−0.999572	+	0.0292515i	$0.990688\pi$
$114$	10.2379	−	3.38477i	0.958866	−	0.317013i
$115$	1.00009	−	0.577404i	0.0932591	−	0.0538432i
$116$	−10.3361	+	5.96757i	−0.959687	+	0.554075i
$117$	−1.19197	+	2.75304i	−0.110198	+	0.254518i
$118$			21.4441i			1.97409i
$119$	0.369947	−	0.726331i	0.0339130	−	0.0665826i
$120$	−0.427355	+	0.479560i	−0.0390120	+	0.0437777i
$121$	−4.35264	+	7.53899i	−0.395694	+	0.685363i
$122$	−1.42842	−	2.47410i	−0.129324	−	0.223995i
$123$	−1.14626	+	5.53241i	−0.103355	+	0.498841i
$124$	−15.7659	−	9.10246i	−1.41582	−	0.817425i
$125$	12.1268			1.08465
$126$	5.60654	−	15.0736i	0.499470	−	1.34287i
$127$	−6.46999			−0.574119			−0.287059	−	0.957913i	$-0.592678\pi$
$127$	−6.46999			−0.574119			−0.287059	+	0.957913i	$0.592678\pi$
$128$	−1.47925	−	0.854046i	−0.130749	−	0.0754877i
$129$	1.64538	−	7.94142i	0.144867	−	0.699203i
$130$	1.75727	+	3.04367i	0.154122	+	0.266948i
$131$	4.36454	−	7.55961i	0.381332	−	0.660486i	−0.609921	−	0.792462i	$-0.708799\pi$
$131$	4.36454	−	7.55961i	0.381332	−	0.660486i	0.991253	+	0.131976i	$0.0421322\pi$
$132$	3.67540	−	4.12438i	0.319902	−	0.358981i
$133$	0.426659	+	8.11785i	0.0369960	+	0.703907i
$134$			10.2874i			0.888696i
$135$	3.79242	+	8.17619i	0.326399	+	0.703695i
$136$	0.0570464	−	0.0329357i	0.00489169	−	0.00282422i
$137$	−0.532033	+	0.307170i	−0.0454547	+	0.0262433i	−0.522555	−	0.852605i	$-0.675021\pi$
$137$	−0.532033	+	0.307170i	−0.0454547	+	0.0262433i	0.477100	+	0.878849i	$0.341688\pi$
$138$	−2.21843	+	0.733441i	−0.188845	+	0.0624346i
$139$			2.84490i			0.241301i	0.992695	+	0.120651i	$0.0384981\pi$
$139$			2.84490i			0.241301i	−0.992695	+	0.120651i	$0.961502\pi$
$140$	−5.26382	−	8.10291i	−0.444874	−	0.684821i
$141$	−14.1955	−	12.6502i	−1.19548	−	1.06534i
$142$	−1.93616	+	3.35353i	−0.162479	+	0.281422i
$143$	−0.757418	−	1.31189i	−0.0633384	−	0.109705i
$144$	−9.09999	+	6.75556i	−0.758333	+	0.562963i
$145$	8.51495	+	4.91611i	0.707128	+	0.408260i
$146$	−1.86230			−0.154125
$147$	9.84744	+	7.07305i	0.812203	+	0.583375i
$148$	17.5345			1.44133
$149$	−3.84711	−	2.22113i	−0.315168	−	0.181962i	0.334069	−	0.942549i	$-0.391578\pi$
$149$	−3.84711	−	2.22113i	−0.315168	−	0.181962i	−0.649237	+	0.760587i	$0.724911\pi$
$150$	−6.84342	−	1.41789i	−0.558763	−	0.115770i
$151$	−3.79205	−	6.56802i	−0.308592	−	0.534498i	0.669462	−	0.742846i	$-0.266525\pi$
$151$	−3.79205	−	6.56802i	−0.308592	−	0.534498i	−0.978055	+	0.208348i	$0.933191\pi$
$152$	−0.328463	+	0.568915i	−0.0266419	+	0.0461451i
$153$	−0.106056	−	0.918151i	−0.00857414	−	0.0742281i
$154$	4.42392	+	6.81001i	0.356490	+	0.548766i
$155$			14.9973i			1.20461i
$156$	−1.14476	−	3.46254i	−0.0916541	−	0.277225i
$157$	15.2147	−	8.78419i	1.21426	−	0.701055i	0.250577	−	0.968097i	$-0.419380\pi$
$157$	15.2147	−	8.78419i	1.21426	−	0.701055i	0.963685	+	0.267042i	$0.0860463\pi$
$158$	−18.5144	+	10.6893i	−1.47293	+	0.850395i
$159$	−5.17364	−	15.6486i	−0.410296	−	1.24102i
$160$			14.0190i			1.10830i
$161$	−0.0924519	−	1.75904i	−0.00728623	−	0.138632i
$162$	−4.15741	−	17.7557i	−0.326637	−	1.39502i
$163$	−4.77489	+	8.27034i	−0.373998	+	0.647783i	−0.990177	−	0.139823i	$-0.955347\pi$
$163$	−4.77489	+	8.27034i	−0.373998	+	0.647783i	0.616179	+	0.787606i	$0.288680\pi$
$164$	−3.43408	−	5.94800i	−0.268157	−	0.464461i
$165$	−4.45638	−	0.923315i	−0.346929	−	0.0718800i
$166$	−28.6802	−	16.5585i	−2.22602	−	1.28519i
$167$	−13.8906			−1.07489			−0.537444	−	0.843299i	$-0.680610\pi$
$167$	−13.8906			−1.07489			−0.537444	+	0.843299i	$0.680610\pi$
$168$	0.355962	+	0.912848i	0.0274631	+	0.0704278i
$169$	−1.00000			−0.0769231
$170$	−0.937712	−	0.541388i	−0.0719192	−	0.0415226i
$171$	5.49428	+	7.40100i	0.420158	+	0.565969i
$172$	4.92940	+	8.53797i	0.375863	+	0.651014i
$173$	−1.64912	+	2.85635i	−0.125380	+	0.217165i	−0.921881	−	0.387472i	$-0.873348\pi$
$173$	−1.64912	+	2.85635i	−0.125380	+	0.217165i	0.796501	+	0.604637i	$0.206682\pi$
$174$	−14.8520	−	13.2352i	−1.12593	−	1.00336i
$175$	2.39124	−	4.69482i	0.180761	−	0.354895i
$176$		−	5.72278i		−	0.431371i
$177$	−17.4044	+	5.75412i	−1.30820	+	0.432506i
$178$	8.89668	−	5.13650i	0.666835	−	0.384997i
$179$	16.2321	−	9.37158i	1.21324	−	0.700465i	0.249777	−	0.968303i	$-0.419643\pi$
$179$	16.2321	−	9.37158i	1.21324	−	0.700465i	0.963464	+	0.267839i	$0.0863094\pi$
$180$	−10.0544	−	4.35319i	−0.749409	−	0.324468i
$181$			6.84735i			0.508959i	0.967078	+	0.254480i	$0.0819042\pi$
$181$			6.84735i			0.508959i	−0.967078	+	0.254480i	$0.918096\pi$
$182$	5.35346	−	0.281367i	0.396825	−	0.0208563i
$183$	1.62473	−	1.82321i	0.120104	−	0.134776i
$184$	0.0711742	−	0.123277i	0.00524703	−	0.00908812i
$185$	−7.22250	−	12.5097i	−0.531009	−	0.919734i
$186$	6.15623	−	29.7130i	0.451397	−	2.17867i
$187$	0.404173	+	0.233349i	0.0295561	+	0.0170642i
$188$	23.1141			1.68577
$189$	13.7384	+	0.505639i	0.999323	+	0.0367798i
$190$	10.7984			0.783396
$191$	19.4128	+	11.2080i	1.40466	+	0.810983i	0.994867	−	0.101193i	$-0.0322661\pi$
$191$	19.4128	+	11.2080i	1.40466	+	0.810983i	0.409797	+	0.912177i	$0.365599\pi$
$192$	3.09960	−	14.9602i	0.223694	−	1.07966i
$193$	13.5755	+	23.5135i	0.977187	+	1.69254i	0.672519	+	0.740080i	$0.265212\pi$
$193$	13.5755	+	23.5135i	0.977187	+	1.69254i	0.304668	+	0.952458i	$0.401454\pi$
$194$	−18.4889	+	32.0237i	−1.32742	+	2.29917i
$195$	−1.99877	+	2.24294i	−0.143135	+	0.160620i
$196$	−14.6574	+	1.54500i	−1.04696	+	0.110357i
$197$			25.1032i			1.78853i	0.447538	+	0.894265i	$0.352301\pi$
$197$			25.1032i			1.78853i	−0.447538	+	0.894265i	$0.647699\pi$
$198$	8.45009	+	3.65860i	0.600522	+	0.260005i
$199$	17.2684	−	9.96993i	1.22413	−	0.706749i	0.258331	−	0.966057i	$-0.416828\pi$
$199$	17.2684	−	9.96993i	1.22413	−	0.706749i	0.965795	+	0.259307i	$0.0834942\pi$
$200$	0.368733	−	0.212888i	0.0260734	−	0.0150535i
$201$	−8.34943	+	2.76043i	−0.588923	+	0.194705i
$202$			6.00161i			0.422272i
$203$	12.5767	−	8.17008i	0.882710	−	0.573427i
$204$	0.838813	+	0.747498i	0.0587286	+	0.0523353i
$205$	−2.82901	+	4.89998i	−0.197586	+	0.342230i
$206$	−0.801858	−	1.38886i	−0.0558681	−	0.0967663i
$207$	−1.19055	−	1.60371i	−0.0827487	−	0.111466i
$208$	−3.27169	−	1.88891i	−0.226851	−	0.130972i
$209$	−4.65432			−0.321946
$210$	10.0692	−	12.5699i	0.694843	−	0.867402i
$211$	14.8115			1.01967			0.509833	−	0.860273i	$-0.329707\pi$
$211$	14.8115			1.01967			0.509833	+	0.860273i	$0.329707\pi$
$212$	17.3513	+	10.0178i	1.19169	+	0.688024i
$213$	−3.24131	−	0.671566i	−0.222091	−	0.0460150i
$214$	15.7663	+	27.3080i	1.07776	+	1.86674i
$215$	4.06086	−	7.03361i	0.276948	−	0.479688i
$216$	0.908769	+	0.639082i	0.0618339	+	0.0434840i
$217$	20.3841	+	10.3824i	1.38377	+	0.704802i
$218$		−	34.6248i		−	2.34509i
$219$	−0.499712	−	1.51147i	−0.0337674	−	0.102136i
$220$	4.79114	−	2.76617i	0.323019	−	0.186495i
$221$	0.266810	−	0.154043i	0.0179476	−	0.0103620i
$222$	9.17430	+	27.7494i	0.615739	+	1.86242i
$223$		−	11.2178i		−	0.751201i	−0.926782	−	0.375601i	$-0.877436\pi$
$223$		−	11.2178i		−	0.751201i	0.926782	−	0.375601i	$-0.122564\pi$
$224$	19.0545	+	9.70513i	1.27313	+	0.648452i
$225$	−0.685521	−	5.93470i	−0.0457014	−	0.395647i
$226$	0.630045	−	1.09127i	0.0419100	−	0.0725903i
$227$	2.54933	+	4.41557i	0.169205	+	0.293072i	0.938141	−	0.346254i	$-0.112547\pi$
$227$	2.54933	+	4.41557i	0.169205	+	0.293072i	−0.768935	+	0.639326i	$0.779213\pi$
$228$	−10.9720	−	2.27327i	−0.726636	−	0.150551i
$229$	1.47644	+	0.852422i	0.0975658	+	0.0563297i	0.547989	−	0.836486i	$-0.315394\pi$
$229$	1.47644	+	0.852422i	0.0975658	+	0.0563297i	−0.450423	+	0.892815i	$0.648727\pi$
$230$	−2.33988			−0.154287
$231$	−4.34004	+	5.41787i	−0.285554	+	0.356469i
$232$	1.21198			0.0795702
$233$	−18.9590	−	10.9460i	−1.24205	−	0.717096i	−0.272536	−	0.962145i	$-0.587863\pi$
$233$	−18.9590	−	10.9460i	−1.24205	−	0.717096i	−0.969511	+	0.245049i	$0.921196\pi$
$234$	4.88072	−	3.62330i	0.319063	−	0.236862i
$235$	−9.52075	−	16.4904i	−0.621065	−	1.07572i
$236$	11.1418	−	19.2981i	0.725267	−	1.25620i
$237$	−13.6436	−	12.1583i	−0.886247	−	0.789769i
$238$	−1.38501	+	0.899733i	−0.0897770	+	0.0583210i
$239$			28.5311i			1.84552i	0.385371	+	0.922762i	$0.374073\pi$
$239$			28.5311i			1.84552i	−0.385371	+	0.922762i	$0.625927\pi$
$240$	−10.7761	+	3.56270i	−0.695591	+	0.229971i
$241$	13.4103	−	7.74244i	0.863833	−	0.498734i	−0.00146087	−	0.999999i	$-0.500465\pi$
$241$	13.4103	−	7.74244i	0.863833	−	0.498734i	0.865294	+	0.501265i	$0.167132\pi$
$242$	15.2756	−	8.81935i	0.981950	−	0.566929i
$243$	13.2952	−	8.13861i	0.852889	−	0.522092i
$244$			2.96868i			0.190050i
$245$	7.13969	+	9.82074i	0.456138	+	0.627424i
$246$	7.61630	−	8.54671i	0.485598	−	0.544918i
$247$	−1.53625	+	2.66086i	−0.0977490	+	0.169306i
$248$	0.924326	+	1.60098i	0.0586948	+	0.101662i
$249$	5.74340	−	27.7205i	0.363973	−	1.75672i
$250$	−21.2795	−	12.2857i	−1.34583	−	0.777017i
$251$	−13.7840			−0.870039			−0.435020	−	0.900421i	$-0.643259\pi$
$251$	−13.7840			−0.870039			−0.435020	+	0.900421i	$0.643259\pi$
$252$	−12.8773	+	10.6521i	−0.811194	+	0.671022i
$253$	1.00854			0.0634062
$254$	11.3532	+	6.55478i	0.712363	+	0.411283i
$255$	0.187783	−	0.906333i	0.0117594	−	0.0567568i
$256$	−7.09025	−	12.2807i	−0.443141	−	0.767543i
$257$	−13.0214	+	22.5537i	−0.812252	+	1.40686i	0.0990316	+	0.995084i	$0.468425\pi$
$257$	−13.0214	+	22.5537i	−0.812252	+	1.40686i	−0.911284	+	0.411778i	$0.864908\pi$
$258$	−10.9327	+	12.2682i	−0.680641	+	0.763788i
$259$	−22.0031	+	1.15644i	−1.36721	+	0.0718578i
$260$		−	3.65210i		−	0.226494i
$261$	6.75667	−	15.6056i	0.418228	−	0.965962i
$262$	−15.3173	+	8.84348i	−0.946309	+	0.546352i
$263$	4.85969	−	2.80574i	0.299661	−	0.173009i	−0.342629	−	0.939471i	$-0.611318\pi$
$263$	4.85969	−	2.80574i	0.299661	−	0.173009i	0.642291	+	0.766461i	$0.277984\pi$
$264$	−0.532631	+	0.176095i	−0.0327812	+	0.0108379i
$265$		−	16.5053i		−	1.01392i
$266$	7.47555	−	14.6770i	0.458355	−	0.899906i
$267$	6.55612	+	5.84242i	0.401228	+	0.357550i
$268$	5.34504	−	9.25788i	0.326500	−	0.565515i
$269$	8.42250	+	14.5882i	0.513529	+	0.889458i	0.999877	+	0.0156926i	$0.00499530\pi$
$269$	8.42250	+	14.5882i	0.513529	+	0.889458i	−0.486348	+	0.873765i	$0.661671\pi$
$270$	1.62859	−	18.1893i	0.0991131	−	1.10696i
$271$	−15.8042	−	9.12454i	−0.960034	−	0.554276i	−0.0638508	−	0.997959i	$-0.520338\pi$
$271$	−15.8042	−	9.12454i	−0.960034	−	0.554276i	−0.896184	+	0.443683i	$0.853672\pi$
$272$	1.16389			0.0705713
$273$	1.66486	+	4.26945i	0.100762	+	0.258399i
$274$	1.24478			0.0751999
$275$	2.61247	+	1.50831i	0.157538	+	0.0909546i
$276$	2.37750	+	0.492592i	0.143108	+	0.0296506i
$277$	−5.70905	−	9.88837i	−0.343024	−	0.594135i	0.641969	−	0.766731i	$-0.278118\pi$
$277$	−5.70905	−	9.88837i	−0.343024	−	0.594135i	−0.984993	+	0.172596i	$0.944784\pi$
$278$	2.88218	−	4.99208i	0.172862	−	0.299405i
$279$	25.7675	−	2.97642i	1.54266	−	0.178194i
$280$	0.0514990	+	0.979849i	0.00307765	+	0.0585572i
$281$			8.63231i			0.514960i	0.966284	+	0.257480i	$0.0828922\pi$
$281$			8.63231i			0.514960i	−0.966284	+	0.257480i	$0.917108\pi$
$282$	12.0936	+	36.5795i	0.720165	+	2.17828i
$283$	−19.5546	+	11.2898i	−1.16240	+	0.671111i	−0.951878	−	0.306478i	$-0.900849\pi$
$283$	−19.5546	+	11.2898i	−1.16240	+	0.671111i	−0.210521	+	0.977589i	$0.567516\pi$
$284$	3.48480	−	2.01195i	0.206785	−	0.119387i
$285$	2.89753	+	8.76414i	0.171635	+	0.519143i
$286$			3.06937i			0.181496i
$287$	4.70153	+	7.23734i	0.277522	+	0.427207i
$288$	24.0867	−	2.78227i	1.41932	−	0.163947i
$289$	8.45254	−	14.6402i	0.497208	−	0.861190i
$290$	−9.96106	−	17.2531i	−0.584933	−	1.01313i
$291$	−30.9521	−	6.41295i	−1.81444	−	0.375934i
$292$	1.67593	+	0.967598i	0.0980763	+	0.0566244i
$293$	−5.10550			−0.298267			−0.149133	−	0.988817i	$-0.547648\pi$
$293$	−5.10550			−0.298267			−0.149133	+	0.988817i	$0.547648\pi$
$294$	−10.1140	−	22.3879i	−0.589862	−	1.30569i
$295$	−18.3572			−1.06880
$296$	−1.54202	−	0.890287i	−0.0896283	−	0.0517469i
$297$	−0.701958	+	7.83995i	−0.0407317	+	0.454920i
$298$	4.50047	+	7.79505i	0.260705	+	0.451555i
$299$	0.332887	−	0.576577i	0.0192513	−	0.0333443i
$300$	5.42187	+	4.83164i	0.313032	+	0.278955i
$301$	−6.74874	−	10.3887i	−0.388991	−	0.598797i
$302$			15.3670i			0.884269i
$303$	−4.87101	+	1.61042i	−0.279832	+	0.0925160i
$304$	−10.0522	+	5.80366i	−0.576536	+	0.332863i
$305$	2.11796	−	1.22280i	0.121274	−	0.0700175i
$306$	−0.744081	+	1.71857i	−0.0425363	+	0.0982442i
$307$		−	15.6136i		−	0.891113i	−0.895254	−	0.445557i	$-0.853006\pi$
$307$		−	15.6136i		−	0.891113i	0.895254	−	0.445557i	$-0.146994\pi$
$308$	−0.442909	−	8.42704i	−0.0252371	−	0.480175i
$309$	0.912058	−	1.02347i	0.0518851	−	0.0582234i
$310$	15.1938	−	26.3164i	0.862950	−	1.49467i
$311$	0.291458	+	0.504819i	0.0165270	+	0.0286257i	0.874171	−	0.485619i	$-0.161406\pi$
$311$	0.291458	+	0.504819i	0.0165270	+	0.0286257i	−0.857644	+	0.514245i	$0.828072\pi$
$312$	−0.0751324	+	0.362627i	−0.00425354	+	0.0205297i
$313$	−9.80310	−	5.65983i	−0.554104	−	0.319912i	0.196671	−	0.980469i	$-0.436987\pi$
$313$	−9.80310	−	5.65983i	−0.554104	−	0.319912i	−0.750776	+	0.660557i	$0.770320\pi$
$314$	−35.5972			−2.00887
$315$	12.9038	+	4.79947i	0.727046	+	0.270420i
$316$	22.2154			1.24972
$317$	−2.82566	−	1.63140i	−0.158705	−	0.0916284i	0.418544	−	0.908196i	$-0.362541\pi$
$317$	−2.82566	−	1.63140i	−0.158705	−	0.0916284i	−0.577249	+	0.816568i	$0.695874\pi$
$318$	−6.77528	+	32.7009i	−0.379939	+	1.83377i
$319$	4.29342	+	7.43642i	0.240385	+	0.416360i
$320$	7.64993	−	13.2501i	0.427644	−	0.740702i
$321$	−17.9331	+	20.1238i	−1.00093	+	1.12320i
$322$	−1.61986	+	3.18034i	−0.0902715	+	0.177233i
$323$		−	0.946590i		−	0.0526697i
$324$	−5.48398	+	18.1388i	−0.304666	+	1.00771i
$325$	1.72459	−	0.995693i	0.0956631	−	0.0552311i
$326$	16.7574	−	9.67492i	0.928109	−	0.535844i
$327$	28.1021	−	9.29090i	1.55405	−	0.513788i
$328$			0.697440i			0.0385097i
$329$	−29.0047	+	1.52443i	−1.59908	+	0.0840446i
$330$	6.88441	+	6.13496i	0.378974	+	0.337719i
$331$	−13.5645	+	23.4944i	−0.745571	+	1.29137i	0.204356	+	0.978897i	$0.434490\pi$
$331$	−13.5645	+	23.4944i	−0.745571	+	1.29137i	−0.949928	+	0.312470i	$0.898844\pi$
$332$	17.2067	+	29.8029i	0.944340	+	1.63564i
$333$	−20.0601	+	14.8920i	−1.09929	+	0.816078i
$334$	24.3745	+	14.0726i	1.33371	+	0.770021i
$335$	−8.80652			−0.481152
$336$	−2.61772	+	17.1131i	−0.142808	+	0.933596i
$337$	13.1305			0.715264			0.357632	−	0.933863i	$-0.383584\pi$
$337$	13.1305			0.715264			0.357632	+	0.933863i	$0.383584\pi$
$338$	1.75475	+	1.01310i	0.0954457	+	0.0551056i
$339$	1.05475	+	0.218534i	0.0572864	+	0.0118691i
$340$	0.562580	+	0.974417i	0.0305102	+	0.0528452i
$341$	−6.54884	+	11.3429i	−0.354640	+	0.614254i
$342$	−2.14309	−	18.5532i	−0.115885	−	1.00324i
$343$	18.2909	−	2.90543i	0.987618	−	0.156879i
$344$		−	1.00113i		−	0.0539773i
$345$	−0.627862	−	1.89909i	−0.0338030	−	0.102243i
$346$	5.78757	−	3.34145i	0.311142	−	0.179638i
$347$	−6.87379	+	3.96859i	−0.369005	+	0.213045i	−0.673023	−	0.739621i	$-0.735005\pi$
$347$	−6.87379	+	3.96859i	−0.369005	+	0.213045i	0.304019	+	0.952666i	$0.401671\pi$
$348$	6.48907	+	19.6274i	0.347851	+	1.05214i
$349$			25.5568i			1.36802i	0.729471	+	0.684012i	$0.239766\pi$
$349$			25.5568i			1.36802i	−0.729471	+	0.684012i	$0.760234\pi$
$350$	−8.95237	+	5.81564i	−0.478524	+	0.310859i
$351$	4.25038	+	2.98903i	0.226868	+	0.159543i
$352$	−6.12166	+	10.6030i	−0.326285	+	0.565143i
$353$	4.95484	+	8.58203i	0.263720	+	0.456776i	0.967227	−	0.253912i	$-0.0817173\pi$
$353$	4.95484	+	8.58203i	0.263720	+	0.456776i	−0.703508	+	0.710688i	$0.748384\pi$
$354$	36.3699	+	7.53546i	1.93304	+	0.400505i
$355$	−2.87079	−	1.65745i	−0.152366	−	0.0879684i
$356$	−10.6751			−0.565781
$357$	−1.10188	−	0.882673i	−0.0583176	−	0.0467160i
$358$	−37.9776			−2.00718
$359$	18.9483	+	10.9398i	1.00005	+	0.577380i	0.908264	−	0.418398i	$-0.137408\pi$
$359$	18.9483	+	10.9398i	1.00005	+	0.577380i	0.0917884	+	0.995779i	$0.470742\pi$
$360$	0.663176	+	0.893324i	0.0349525	+	0.0470823i
$361$	−4.77989	−	8.27902i	−0.251573	−	0.435738i
$362$	6.93708	−	12.0154i	0.364605	−	0.631514i
$363$	11.2568	+	10.0314i	0.590831	+	0.526512i
$364$	−4.96390	−	2.52829i	−0.260179	−	0.132519i
$365$		−	1.59422i		−	0.0834453i
$366$	−4.69810	+	1.55325i	−0.245574	+	0.0811898i
$367$	26.4845	−	15.2908i	1.38248	−	0.798174i	0.390026	−	0.920804i	$-0.372466\pi$
$367$	26.4845	−	15.2908i	1.38248	−	0.798174i	0.992453	+	0.122630i	$0.0391327\pi$
$368$	2.17820	−	1.25759i	0.113547	−	0.0655562i
$369$	8.98034	+	3.88817i	0.467498	+	0.202410i
$370$			29.2686i			1.52160i
$371$	−22.4339	−	11.4264i	−1.16471	−	0.593229i
$372$	−20.9782	+	23.5409i	−1.08767	+	1.22054i
$373$	−11.0314	+	19.1070i	−0.571185	+	0.989322i	0.425259	+	0.905072i	$0.360183\pi$
$373$	−11.0314	+	19.1070i	−0.571185	+	0.989322i	−0.996445	+	0.0842506i	$0.973150\pi$
$374$	−0.472815	−	0.818939i	−0.0244487	−	0.0423463i
$375$	4.26136	−	20.5674i	0.220055	−	1.06210i
$376$	−2.03271	−	1.17358i	−0.104829	−	0.0605230i
$377$	5.66850			0.291943
$378$	−23.5952	−	14.8057i	−1.21361	−	0.761524i
$379$	−13.9388			−0.715989			−0.357994	−	0.933724i	$-0.616539\pi$
$379$	−13.9388			−0.715989			−0.357994	+	0.933724i	$0.616539\pi$
$380$	−9.71772	−	5.61053i	−0.498509	−	0.287814i
$381$	−2.27355	+	10.9733i	−0.116478	+	0.562179i
$382$	−22.7098	−	39.3345i	−1.16193	−	2.01253i
$383$	12.7668	−	22.1127i	0.652352	−	1.12991i	−0.330199	−	0.943911i	$-0.607116\pi$
$383$	12.7668	−	22.1127i	0.652352	−	1.12991i	0.982551	−	0.185995i	$-0.0595508\pi$
$384$	−1.96830	+	2.20874i	−0.100444	+	0.112714i
$385$	−5.82971	+	3.78710i	−0.297109	+	0.193008i
$386$		−	55.0137i		−	2.80012i
$387$	−12.8907	−	5.58122i	−0.655271	−	0.283709i
$388$	33.2772	−	19.2126i	1.68939	−	0.975372i
$389$	−2.85725	+	1.64963i	−0.144868	+	0.0836397i	−0.570682	−	0.821171i	$-0.693321\pi$
$389$	−2.85725	+	1.64963i	−0.144868	+	0.0836397i	0.425814	+	0.904811i	$0.359988\pi$
$390$	5.77966	−	1.91083i	0.292665	−	0.0967586i
$391$			0.205115i			0.0103731i
$392$	1.36745	+	0.608338i	0.0690668	+	0.0307257i
$393$	−11.2876	−	10.0588i	−0.569386	−	0.507401i
$394$	25.4322	−	44.0498i	1.28125	−	2.21920i
$395$	−9.15057	−	15.8493i	−0.460415	−	0.797462i
$396$	−5.70355	−	7.68289i	−0.286614	−	0.386080i
$397$	23.3342	+	13.4720i	1.17111	+	0.676141i	0.953941	−	0.299993i	$-0.0969845\pi$
$397$	23.3342	+	13.4720i	1.17111	+	0.676141i	0.217169	+	0.976134i	$0.430318\pi$
$398$	−40.4023			−2.02518
$399$	13.9180	+	2.12898i	0.696774	+	0.106582i
$400$	7.52310			0.376155
$401$	−13.0389	−	7.52803i	−0.651133	−	0.375932i	0.137757	−	0.990466i	$-0.456011\pi$
$401$	−13.0389	−	7.52803i	−0.651133	−	0.375932i	−0.788890	+	0.614534i	$0.789344\pi$
$402$	17.4477	+	3.61499i	0.870214	+	0.180299i
$403$	4.32314	+	7.48790i	0.215351	+	0.372999i
$404$	3.11827	−	5.40100i	0.155140	−	0.268710i
$405$	15.1997	−	3.55895i	0.755280	−	0.176845i
$406$	−30.3461	+	1.59493i	−1.50605	+	0.0791551i
$407$		−	12.6154i		−	0.625320i
$408$	−0.0358139	−	0.108326i	−0.00177305	−	0.00536293i
$409$	12.6854	−	7.32389i	0.627250	−	0.362143i	−0.152436	−	0.988313i	$-0.548712\pi$
$409$	12.6854	−	7.32389i	0.627250	−	0.362143i	0.779686	+	0.626170i	$0.215378\pi$
$410$	9.92839	−	5.73216i	0.490328	−	0.283091i
$411$	0.334013	+	1.01028i	0.0164756	+	0.0498336i
$412$			1.66649i			0.0821021i
$413$	−12.7084	+	24.9510i	−0.625341	+	1.22776i
$414$	0.464382	+	4.02026i	0.0228232	+	0.197585i
$415$	14.1749	−	24.5517i	0.695820	−	1.20519i
$416$	4.04114	+	6.99945i	0.198133	+	0.343176i
$417$	4.82504	+	0.999697i	0.236283	+	0.0489554i
$418$	8.16716	+	4.71531i	0.399469	+	0.230633i
$419$	9.87431			0.482392			0.241196	−	0.970476i	$-0.422460\pi$
$419$	9.87431			0.482392			0.241196	+	0.970476i	$0.422460\pi$
$420$	−15.5925	+	6.08024i	−0.760835	+	0.296685i
$421$	−10.0942			−0.491962			−0.245981	−	0.969275i	$-0.579110\pi$
$421$	−10.0942			−0.491962			−0.245981	+	0.969275i	$0.579110\pi$
$422$	−25.9905	−	15.0056i	−1.26520	−	0.730462i
$423$	−26.4434	+	19.6308i	−1.28572	+	0.954482i
$424$	−1.01727	−	1.76197i	−0.0494032	−	0.0855688i
$425$	−0.306759	+	0.531322i	−0.0148800	+	0.0257729i
$426$	5.00732	+	4.46222i	0.242606	+	0.216195i
$427$	−0.195791	−	3.72523i	−0.00947499	−	0.180277i
$428$		−	32.7669i		−	1.58385i
$429$	−2.49115	+	0.823607i	−0.120274	+	0.0397641i
$430$	−14.2516	+	8.22814i	−0.687271	+	0.396796i
$431$	7.60119	−	4.38855i	0.366136	−	0.211389i	−0.305633	−	0.952149i	$-0.598868\pi$
$431$	7.60119	−	4.38855i	0.366136	−	0.211389i	0.671769	+	0.740761i	$0.265535\pi$
$432$	8.25990	+	17.8078i	0.397404	+	0.856776i
$433$		−	0.754847i		−	0.0362756i	−0.999835	−	0.0181378i	$-0.994226\pi$
$433$		−	0.754847i		−	0.0362756i	0.999835	−	0.0181378i	$-0.00577376\pi$
$434$	−25.2506	−	38.8697i	−1.21207	−	1.86581i
$435$	11.3300	−	12.7141i	0.543233	−	0.609594i
$436$	−17.9901	+	31.1597i	−0.861568	+	1.49228i
$437$	−1.02279	−	1.77153i	−0.0489268	−	0.0847437i
$438$	−0.654411	+	3.15851i	−0.0312690	+	0.150920i
$439$	−10.9688	−	6.33282i	−0.523511	−	0.302249i	0.214859	−	0.976645i	$-0.431071\pi$
$439$	−10.9688	−	6.33282i	−0.523511	−	0.302249i	−0.738370	+	0.674396i	$0.764404\pi$
$440$	−0.561791			−0.0267823
$441$	15.4565	−	14.2161i	0.736023	−	0.676956i
$442$	−0.624246			−0.0296923
$443$	2.86799	+	1.65583i	0.136262	+	0.0786711i	0.566581	−	0.824006i	$-0.308266\pi$
$443$	2.86799	+	1.65583i	0.136262	+	0.0786711i	−0.430319	+	0.902677i	$0.641599\pi$
$444$	6.16162	−	29.7391i	0.292418	−	1.41135i
$445$	4.39710	+	7.61600i	0.208443	+	0.361033i
$446$	−11.3648	+	19.6845i	−0.538140	+	0.932086i
$447$	−5.11898	+	5.74431i	−0.242119	+	0.271697i
$448$	−12.7134	−	19.5705i	−0.600653	−	0.924621i
$449$		−	33.2585i		−	1.56957i	−0.619770	−	0.784783i	$-0.712774\pi$
$449$		−	33.2585i		−	1.56957i	0.619770	−	0.784783i	$-0.287226\pi$
$450$	−4.80955	+	11.1084i	−0.226724	+	0.523655i
$451$	−4.27934	+	2.47068i	−0.201506	+	0.116340i
$452$	−1.13399	+	0.654708i	−0.0533383	+	0.0307949i
$453$	−12.4721	+	4.12343i	−0.585990	+	0.193736i
$454$		−	10.3310i		−	0.484856i
$455$	0.240864	+	4.58282i	0.0112919	+	0.214846i
$456$	0.849475	+	0.757000i	0.0397803	+	0.0354498i
$457$	−11.9750	+	20.7413i	−0.560166	+	0.970236i	0.437315	+	0.899308i	$0.355929\pi$
$457$	−11.9750	+	20.7413i	−0.560166	+	0.970236i	−0.997481	+	0.0709281i	$0.977404\pi$
$458$	−1.72719	−	2.99157i	−0.0807061	−	0.139787i
$459$	−1.59448	−	0.142763i	−0.0744240	−	0.00666363i
$460$	2.10572	+	1.21574i	0.0981795	+	0.0566840i
$461$	18.7061			0.871229			0.435614	−	0.900133i	$-0.356531\pi$
$461$	18.7061			0.871229			0.435614	+	0.900133i	$0.356531\pi$
$462$	13.1045	−	5.11007i	0.609679	−	0.237742i
$463$	33.7450			1.56826			0.784132	−	0.620594i	$-0.213109\pi$
$463$	33.7450			1.56826			0.784132	+	0.620594i	$0.213109\pi$
$464$	18.5456	+	10.7073i	0.860957	+	0.497073i
$465$	25.4358	+	5.27004i	1.17956	+	0.244392i
$466$	22.1789	+	38.4149i	1.02742	+	1.77954i
$467$	−5.53543	+	9.58765i	−0.256149	+	0.443663i	−0.965207	−	0.261487i	$-0.915787\pi$
$467$	−5.53543	+	9.58765i	−0.256149	+	0.443663i	0.709058	+	0.705150i	$0.249121\pi$
$468$	−6.27484	+	0.724811i	−0.290055	+	0.0335044i
$469$	−6.09662	+	11.9697i	−0.281516	+	0.552711i
$470$			38.5821i			1.77966i
$471$	−9.55182	−	28.8913i	−0.440125	−	1.33124i
$472$	−1.95966	+	1.13141i	−0.0902007	+	0.0520774i
$473$	6.14272	−	3.54650i	0.282442	−	0.163068i
$474$	11.6234	+	35.1572i	0.533881	+	1.61482i
$475$		−	6.11852i		−	0.280737i
$476$	1.71388	−	0.0900784i	0.0785557	−	0.00412874i
$477$	−28.3586	+	3.27572i	−1.29845	+	0.149985i
$478$	28.9050	−	50.0649i	1.32208	−	2.28992i
$479$	19.0267	+	32.9551i	0.869350	+	1.50576i	0.862662	+	0.505781i	$0.168796\pi$
$479$	19.0267	+	32.9551i	0.869350	+	1.50576i	0.00668789	+	0.999978i	$0.497871\pi$
$480$	23.7766	+	4.92627i	1.08525	+	0.224852i
$481$	−7.21215	−	4.16394i	−0.328846	−	0.189859i
$482$	−31.3756			−1.42912
$483$	−3.01588	−	0.461326i	−0.137227	−	0.0209910i
$484$	−18.3291			−0.833143
$485$	−27.4139	−	15.8274i	−1.24480	−	0.718685i
$486$	−31.5750	+	0.811756i	−1.43227	+	0.0368220i
$487$	5.60423	+	9.70682i	0.253952	+	0.439858i	0.964610	−	0.263679i	$-0.0849361\pi$
$487$	5.60423	+	9.70682i	0.253952	+	0.439858i	−0.710658	+	0.703537i	$0.751603\pi$
$488$	0.150730	−	0.261072i	0.00682322	−	0.0118182i
$489$	12.3489	+	11.0045i	0.558435	+	0.497643i
$490$	−2.57891	−	24.4662i	−0.116503	−	1.10527i
$491$		−	12.2082i		−	0.550949i	−0.961308	−	0.275474i	$-0.911165\pi$
$491$		−	12.2082i		−	0.550949i	0.961308	−	0.275474i	$-0.0888350\pi$
$492$	−11.2947	+	3.73418i	−0.509206	+	0.168350i
$493$	−1.51241	+	0.873191i	−0.0681156	+	0.0393266i
$494$	5.39145	−	3.11276i	0.242573	−	0.140049i
$495$	−3.13194	+	7.23370i	−0.140770	+	0.325131i
$496$			32.6641i			1.46666i
$497$	−4.24019	+	2.75452i	−0.190199	+	0.123557i
$498$	−38.1620	+	42.8238i	−1.71008	+	1.91898i
$499$	−4.97317	+	8.61379i	−0.222630	+	0.385606i	−0.955606	−	0.294648i	$-0.904797\pi$
$499$	−4.97317	+	8.61379i	−0.222630	+	0.385606i	0.732976	+	0.680255i	$0.238131\pi$
$500$	12.7666	+	22.1125i	0.570941	+	0.988899i
$501$	−4.88116	+	23.5589i	−0.218074	+	1.05253i
$502$	24.1875	+	13.9646i	1.07954	+	0.623273i
$503$	−0.925067			−0.0412467			−0.0206233	−	0.999787i	$-0.506565\pi$
$503$	−0.925067			−0.0412467			−0.0206233	+	0.999787i	$0.506565\pi$
$504$	1.67330	−	0.282948i	0.0745348	−	0.0126035i
$505$	−5.13768			−0.228624
$506$	−1.76973	−	1.02175i	−0.0786740	−	0.0454225i
$507$	−0.351400	+	1.69603i	−0.0156062	+	0.0753233i
$508$	−6.81135	−	11.7976i	−0.302205	−	0.523434i
$509$	16.6659	−	28.8661i	0.738701	−	1.27947i	−0.214379	−	0.976750i	$-0.568773\pi$
$509$	16.6659	−	28.8661i	0.738701	−	1.27947i	0.953080	−	0.302717i	$-0.0978938\pi$
$510$	−1.24772	+	1.40014i	−0.0552501	+	0.0619994i
$511$	−2.16685	−	1.10365i	−0.0958557	−	0.0488228i
$512$			32.1489i			1.42079i
$513$	14.4830	−	6.71775i	0.639440	−	0.296596i
$514$	45.6985	−	26.3841i	2.01568	−	1.16375i
$515$	1.18893	−	0.686430i	0.0523906	−	0.0302477i
$516$	16.2129	−	5.36017i	0.713731	−	0.235968i
$517$		−	16.6297i		−	0.731372i
$518$	39.7815	+	20.2622i	1.74790	+	0.890269i
$519$	4.26496	+	3.80067i	0.187211	+	0.166831i
$520$	−0.185430	+	0.321174i	−0.00813163	+	0.0140844i
$521$	2.76659	+	4.79188i	0.121207	+	0.209936i	0.920244	−	0.391346i	$-0.127990\pi$
$521$	2.76659	+	4.79188i	0.121207	+	0.209936i	−0.799037	+	0.601282i	$0.794657\pi$
$522$	−27.6664	+	20.5387i	−1.21092	+	0.898953i
$523$	−17.3718	−	10.0296i	−0.759615	−	0.438564i	0.0695426	−	0.997579i	$-0.477846\pi$
$523$	−17.3718	−	10.0296i	−0.759615	−	0.438564i	−0.829157	+	0.559015i	$0.811179\pi$
$524$	18.3793			0.802903
$525$	−7.12227	−	5.70538i	−0.310841	−	0.249003i
$526$	−11.3700			−0.495757
$527$	−2.30691	−	1.33190i	−0.100491	−	0.0580183i
$528$	−9.70600	−	2.01098i	−0.422400	−	0.0875168i
$529$	−11.2784	−	19.5347i	−0.490364	−	0.849335i
$530$	−16.7216	+	28.9627i	−0.726342	+	1.25806i
$531$	3.64325	+	31.5404i	0.158104	+	1.36874i
$532$	−14.3532	+	9.32414i	−0.622290	+	0.404253i
$533$			3.26198i			0.141292i
$534$	−5.58537	−	16.8940i	−0.241703	−	0.731075i
$535$	−23.3770	+	13.4967i	−1.01068	+	0.583514i
$536$	−0.940109	+	0.542772i	−0.0406065	+	0.0234442i
$537$	−10.1905	−	30.8232i	−0.439755	−	1.33012i
$538$		−	34.1315i		−	1.47151i
$539$	1.11157	+	10.5454i	0.0478785	+	0.454224i
$540$	−10.9162	+	15.5228i	−0.469760	+	0.667995i
$541$	−4.91499	+	8.51301i	−0.211312	+	0.366003i	−0.952125	−	0.305708i	$-0.901107\pi$
$541$	−4.91499	+	8.51301i	−0.211312	+	0.366003i	0.740814	+	0.671711i	$0.234440\pi$
$542$	18.4882	+	32.0225i	0.794137	+	1.37549i
$543$	11.6133	+	2.40615i	0.498375	+	0.103258i
$544$	−2.15643	−	1.24502i	−0.0924562	−	0.0533796i
$545$	29.6406			1.26966
$546$	1.40399	−	9.17849i	0.0600854	−	0.392803i
$547$	−14.4504			−0.617855			−0.308927	−	0.951086i	$-0.599970\pi$
$547$	−14.4504			−0.617855			−0.308927	+	0.951086i	$0.599970\pi$
$548$	−1.12021	−	0.646752i	−0.0478529	−	0.0276279i
$549$	−2.52129	−	3.39627i	−0.107606	−	0.144949i
$550$	−3.05615	−	5.29341i	−0.130315	−	0.225712i
$551$	8.70821	−	15.0831i	0.370982	−	0.642560i
$552$	−0.184071	−	0.164033i	−0.00783460	−	0.00698171i
$553$	−27.8769	+	1.46516i	−1.18545	+	0.0623049i
$554$			23.1355i			0.982932i
$555$	−23.7549	+	7.85366i	−1.00834	+	0.333369i
$556$	−5.18749	+	2.99500i	−0.219999	+	0.127016i
$557$	30.5192	−	17.6202i	1.29314	−	0.746594i	0.313929	−	0.949446i	$-0.398355\pi$
$557$	30.5192	−	17.6202i	1.29314	−	0.746594i	0.979209	+	0.202853i	$0.0650212\pi$
$558$	−48.2309	−	20.8823i	−2.04178	−	0.884018i
$559$		−	4.68236i		−	0.198043i
$560$	−7.86851	+	15.4485i	−0.332505	+	0.652820i
$561$	0.537794	−	0.603491i	0.0227057	−	0.0254794i
$562$	8.74543	−	15.1475i	0.368904	−	0.638960i
$563$	4.58013	+	7.93301i	0.193029	+	0.334337i	0.946253	−	0.323428i	$-0.104835\pi$
$563$	4.58013	+	7.93301i	0.193029	+	0.334337i	−0.753223	+	0.657765i	$0.771502\pi$
$564$	8.12230	−	39.2023i	0.342011	−	1.65071i
$565$	0.934182	+	0.539350i	0.0393013	+	0.0226906i
$566$	45.7511			1.92306
$567$	5.68526	−	23.1231i	0.238758	−	0.971079i
$568$	−0.408614			−0.0171451
$569$	9.10695	+	5.25790i	0.381783	+	0.220423i	0.678594	−	0.734514i	$-0.262590\pi$
$569$	9.10695	+	5.25790i	0.381783	+	0.220423i	−0.296811	+	0.954936i	$0.595923\pi$
$570$	3.79454	−	18.3144i	0.158936	−	0.767104i
$571$	−0.111559	−	0.193226i	−0.00466860	−	0.00808626i	0.863682	−	0.504038i	$-0.168153\pi$
$571$	−0.111559	−	0.193226i	−0.00466860	−	0.00808626i	−0.868350	+	0.495951i	$0.834819\pi$
$572$	1.59476	−	2.76220i	0.0666802	−	0.115494i
$573$	25.8308	−	28.9863i	1.07910	−	1.21092i
$574$	−0.917814	−	17.4628i	−0.0383088	−	0.728885i
$575$			1.32581i			0.0552902i
$576$	−24.2838	−	10.5140i	−1.01182	−	0.438085i
$577$	−16.4780	+	9.51360i	−0.685990	+	0.396056i	−0.802108	−	0.597179i	$-0.796288\pi$
$577$	−16.4780	+	9.51360i	−0.685990	+	0.396056i	0.116118	+	0.993235i	$0.462955\pi$
$578$	−29.6642	+	17.1266i	−1.23387	+	0.712373i
$579$	44.6500	−	14.7619i	1.85559	−	0.613482i
$580$			20.7019i			0.859601i
$581$	−23.5573	−	36.2632i	−0.977322	−	1.50445i
$582$	47.8161	+	42.6108i	1.98204	+	1.76627i
$583$	7.20737	−	12.4835i	0.298499	−	0.517015i
$584$	−0.0982565	−	0.170185i	−0.00406588	−	0.00704232i
$585$	3.10172	+	4.17814i	0.128240	+	0.172745i
$586$	8.95887	+	5.17241i	0.370088	+	0.213670i
$587$	−41.7175			−1.72187			−0.860933	−	0.508719i	$-0.830119\pi$
$587$	−41.7175			−1.72187			−0.860933	+	0.508719i	$0.830119\pi$
$588$	−2.53025	+	25.4024i	−0.104346	+	1.04758i
$589$	26.5656			1.09462
$590$	32.2123	+	18.5978i	1.32616	+	0.765659i
$591$	42.5758	+	8.82126i	1.75133	+	0.362858i
$592$	−15.7306	−	27.2462i	−0.646524	−	1.11981i
$593$	−4.99906	+	8.65863i	−0.205287	+	0.355567i	−0.950224	−	0.311567i	$-0.899146\pi$
$593$	−4.99906	+	8.65863i	−0.205287	+	0.355567i	0.744937	+	0.667135i	$0.232479\pi$
$594$	9.17445	−	13.0460i	0.376432	−	0.535283i
$595$	−0.770216	−	1.18564i	−0.0315758	−	0.0486065i
$596$		−	9.35328i		−	0.383125i
$597$	−10.8412	−	32.7912i	−0.443700	−	1.34205i
$598$	−1.16826	+	0.674498i	−0.0477739	+	0.0275823i
$599$	10.5605	−	6.09713i	0.431492	−	0.249122i	−0.268490	−	0.963282i	$-0.586525\pi$
$599$	10.5605	−	6.09713i	0.431492	−	0.249122i	0.699982	+	0.714160i	$0.253191\pi$
$600$	−0.231492	−	0.700192i	−0.00945063	−	0.0285852i
$601$			32.9933i			1.34583i	0.739721	+	0.672913i	$0.234957\pi$
$601$			32.9933i			1.34583i	−0.739721	+	0.672913i	$0.765043\pi$
$602$	1.31746	+	25.0668i	0.0536958	+	1.02165i
$603$	1.74778	+	15.1309i	0.0711751	+	0.616177i
$604$	7.98424	−	13.8291i	0.324874	−	0.562698i
$605$	7.54980	+	13.0766i	0.306943	+	0.531641i
$606$	10.1789	+	2.10896i	0.413490	+	0.0856708i
$607$	−4.25454	−	2.45636i	−0.172686	−	0.0997005i	0.411166	−	0.911561i	$-0.365122\pi$
$607$	−4.25454	−	2.45636i	−0.172686	−	0.0997005i	−0.583852	+	0.811860i	$0.698455\pi$
$608$	24.8327			1.00710
$609$	−9.43725	−	24.2014i	−0.382417	−	0.980690i
$610$	−4.95531			−0.200635
$611$	−9.50711	−	5.48893i	−0.384617	−	0.222059i
$612$	1.56254	−	1.15998i	0.0631619	−	0.0468894i
$613$	5.01356	+	8.68375i	0.202496	+	0.350733i	0.949332	−	0.314275i	$-0.101761\pi$
$613$	5.01356	+	8.68375i	0.202496	+	0.350733i	−0.746836	+	0.665008i	$0.768428\pi$
$614$	−15.8182	+	27.3979i	−0.638369	+	1.10569i
$615$	7.31641	+	6.51993i	0.295026	+	0.262909i
$616$	−0.388919	+	0.763580i	−0.0156700	+	0.0307655i
$617$		−	6.31225i		−	0.254121i	−0.991895	−	0.127061i	$-0.959446\pi$
$617$		−	6.31225i		−	0.254121i	0.991895	−	0.127061i	$-0.0405543\pi$
$618$	−2.63732	+	0.871931i	−0.106088	+	0.0350742i
$619$	−9.25734	+	5.34473i	−0.372084	+	0.214823i	−0.674368	−	0.738395i	$-0.735584\pi$
$619$	−9.25734	+	5.34473i	−0.372084	+	0.214823i	0.302285	+	0.953218i	$0.402251\pi$
$620$	−27.3466	+	15.7885i	−1.09826	+	0.634083i
$621$	−3.13830	+	1.45566i	−0.125936	+	0.0584136i
$622$		−	1.18111i		−	0.0473581i
$623$	13.3956	−	0.704049i	0.536685	−	0.0282071i
$624$	−4.35332	+	4.88512i	−0.174272	+	0.195561i
$625$	5.53872	−	9.59335i	0.221549	−	0.383734i
$626$	11.4680	+	19.8631i	0.458353	+	0.793891i
$627$	−1.63553	+	7.89387i	−0.0653166	+	0.315251i
$628$	32.0348	+	18.4953i	1.27833	+	0.738043i
$629$	2.56570			0.102301
$630$	−17.7805	−	21.4948i	−0.708393	−	0.856371i
$631$	38.8140			1.54516			0.772581	−	0.634917i	$-0.218966\pi$
$631$	38.8140			1.54516			0.772581	+	0.634917i	$0.218966\pi$
$632$	−1.95367	−	1.12795i	−0.0777129	−	0.0448676i
$633$	5.20476	−	25.1208i	0.206871	−	0.998461i
$634$	3.30555	+	5.72538i	0.131280	+	0.227384i
$635$	−5.61121	+	9.71891i	−0.222674	+	0.385683i
$636$	23.0877	−	25.9081i	0.915486	−	1.02732i
$637$	6.39567	+	2.84524i	0.253406	+	0.112732i
$638$		−	17.3987i		−	0.688823i
$639$	−2.27799	+	5.26138i	−0.0901160	+	0.208137i
$640$	−2.56581	+	1.48137i	−0.101423	+	0.0585564i
$641$	22.6684	−	13.0876i	0.895348	−	0.516929i	0.0196597	−	0.999807i	$-0.493742\pi$
$641$	22.6684	−	13.0876i	0.895348	−	0.516929i	0.875688	+	0.482878i	$0.160408\pi$
$642$	51.8555	−	17.1441i	2.04657	−	0.676623i
$643$			9.82923i			0.387627i	0.981038	+	0.193813i	$0.0620857\pi$
$643$			9.82923i			0.387627i	−0.981038	+	0.193813i	$0.937914\pi$
$644$	3.11017	−	2.02043i	0.122558	−	0.0796162i
$645$	−10.5022	−	9.35894i	−0.413525	−	0.368508i
$646$	−0.958995	+	1.66103i	−0.0377311	+	0.0653523i
$647$	−11.2028	−	19.4039i	−0.440429	−	0.762846i	0.557292	−	0.830317i	$-0.311840\pi$
$647$	−11.2028	−	19.4039i	−0.440429	−	0.762846i	−0.997721	+	0.0674709i	$0.978507\pi$
$648$	1.40324	−	1.31673i	0.0551246	−	0.0517259i
$649$	−13.8842	−	8.01603i	−0.545002	−	0.314657i
$650$	−4.03497			−0.158264
$651$	24.7718	−	30.9237i	0.970884	−	1.21200i
$652$	−20.1073			−0.787461
$653$	10.3585	+	5.98047i	0.405358	+	0.234034i	0.688793	−	0.724958i	$-0.258141\pi$
$653$	10.3585	+	5.98047i	0.405358	+	0.234034i	−0.283435	+	0.958991i	$0.591474\pi$
$654$	−58.7247	−	12.1671i	−2.29632	−	0.475773i
$655$	−7.57045	−	13.1124i	−0.295802	−	0.512344i
$656$	−6.16158	+	10.6722i	−0.240569	+	0.416678i
$657$	−2.73910	+	0.316396i	−0.106863	+	0.0123438i
$658$	52.4403	+	26.7098i	2.04434	+	1.04126i
$659$			23.0438i			0.897658i	0.893618	+	0.448829i	$0.148159\pi$
$659$			23.0438i			0.897658i	−0.893618	+	0.448829i	$0.851841\pi$
$660$	−3.00790	−	9.09795i	−0.117082	−	0.354137i
$661$	−19.5238	+	11.2721i	−0.759389	+	0.438433i	−0.829076	−	0.559135i	$-0.811133\pi$
$661$	−19.5238	+	11.2721i	−0.759389	+	0.438433i	0.0696874	+	0.997569i	$0.477800\pi$
$662$	47.6045	−	27.4845i	1.85020	−	1.06821i
$663$	−0.167504	−	0.506648i	−0.00650533	−	0.0196766i
$664$		−	3.49457i		−	0.135616i
$665$	12.5643	+	6.39944i	0.487221	+	0.248160i
$666$	50.2877	−	5.80876i	1.94861	−	0.225085i
$667$	−1.88697	+	3.26832i	−0.0730637	+	0.126550i
$668$	−14.6235	−	25.3286i	−0.565800	−	0.979994i
$669$	−19.0258	−	3.94194i	−0.735579	−	0.152404i
$670$	15.4532	+	8.92193i	0.597010	+	0.344684i
$671$	2.13584			0.0824532
$672$	23.1559	−	28.9066i	0.893259	−	1.11509i
$673$	30.1670			1.16285			0.581426	−	0.813599i	$-0.302495\pi$
$673$	30.1670			1.16285			0.581426	+	0.813599i	$0.302495\pi$
$674$	−23.0407	−	13.3026i	−0.887495	−	0.512396i
$675$	−10.3063	−	0.922787i	−0.396690	−	0.0355181i
$676$	−1.05276	−	1.82344i	−0.0404908	−	0.0701321i
$677$	17.6192	−	30.5174i	0.677161	−	1.17288i	−0.298671	−	0.954356i	$-0.596543\pi$
$677$	17.6192	−	30.5174i	0.677161	−	1.17288i	0.975832	−	0.218521i	$-0.0701234\pi$
$678$	−1.62943	−	1.45205i	−0.0625779	−	0.0557656i
$679$	−40.4906	+	26.3036i	−1.55389	+	1.00944i
$680$		−	0.114256i		−	0.00438153i
$681$	8.38478	−	2.77211i	0.321306	−	0.106228i
$682$	22.9831	−	13.2693i	0.880070	−	0.508109i
$683$	−43.9919	+	25.3987i	−1.68330	+	0.971855i	−0.723860	+	0.689947i	$0.757634\pi$
$683$	−43.9919	+	25.3987i	−1.68330	+	0.971855i	−0.959442	+	0.281907i	$0.909033\pi$
$684$	−7.71108	+	17.8099i	−0.294841	+	0.680980i
$685$			1.06559i			0.0407142i
$686$	−35.0395	−	13.4323i	−1.33781	−	0.512849i
$687$	1.96455	−	2.20454i	0.0749524	−	0.0841086i
$688$	8.84455	−	15.3192i	0.337195	−	0.584040i
$689$	−4.75786	−	8.24085i	−0.181260	−	0.313951i
$690$	−0.822233	+	3.96851i	−0.0313019	+	0.151079i
$691$	−4.24768	−	2.45240i	−0.161589	−	0.0932936i	0.417025	−	0.908895i	$-0.363073\pi$
$691$	−4.24768	−	2.45240i	−0.161589	−	0.0932936i	−0.578614	+	0.815602i	$0.696406\pi$
$692$	−6.94450			−0.263990
$693$	7.66377	+	9.26468i	0.291123	+	0.351936i
$694$	16.0824			0.610478
$695$	4.27347	+	2.46729i	0.162102	+	0.0935896i
$696$	0.425888	−	2.05555i	0.0161432	−	0.0779154i
$697$	−0.502484	−	0.870327i	−0.0190329	−	0.0329660i
$698$	25.8917	−	44.8457i	0.980015	−	1.69744i
$699$	−25.2269	+	28.3087i	−0.954170	+	1.07073i
$700$	11.0781	−	0.582244i	0.418713	−	0.0220068i
$701$		−	37.5392i		−	1.41784i	−0.705290	−	0.708919i	$-0.749183\pi$
$701$		−	37.5392i		−	1.41784i	0.705290	−	0.708919i	$-0.250817\pi$
$702$	−4.43014	−	9.55107i	−0.167205	−	0.360482i
$703$	−22.1593	+	12.7937i	−0.835753	+	0.482522i
$704$	11.5718	−	6.68098i	0.436128	−	0.251799i
$705$	−31.3138	+	10.3528i	−1.17935	+	0.389907i
$706$		−	20.0791i		−	0.755686i
$707$	−3.55673	+	6.98307i	−0.133765	+	0.262625i
$708$	−28.8149	−	25.6781i	−1.08293	−	0.965043i
$709$	6.99663	−	12.1185i	0.262764	−	0.455121i	−0.704211	−	0.709990i	$-0.748699\pi$
$709$	6.99663	−	12.1185i	0.262764	−	0.455121i	0.966975	+	0.254870i	$0.0820326\pi$
$710$	3.35834	+	5.81682i	0.126036	+	0.218301i
$711$	−25.4153	+	18.8675i	−0.953147	+	0.707587i
$712$	0.938793	+	0.542013i	0.0351828	+	0.0203128i
$713$	−5.75646			−0.215581
$714$	1.03928	+	2.66519i	0.0388941	+	0.0997422i
$715$	−2.62754			−0.0982642
$716$	34.1769	+	19.7321i	1.27725	+	0.737422i
$717$	48.3896	+	10.0258i	1.80714	+	0.374421i
$718$	−22.1663	−	38.3932i	−0.827239	−	1.43282i
$719$	−19.1963	+	33.2489i	−0.715900	+	1.23997i	0.246712	+	0.969089i	$0.420650\pi$
$719$	−19.1963	+	33.2489i	−0.715900	+	1.23997i	−0.962611	+	0.270886i	$0.912683\pi$
$720$	2.25574	+	19.5284i	0.0840666	+	0.727782i
$721$	−0.109909	−	2.09119i	−0.00409322	−	0.0778799i
$722$			19.3701i			0.720882i
$723$	−8.41904	−	25.4650i	−0.313107	−	0.947052i
$724$	−12.4857	+	7.20862i	−0.464027	+	0.267906i
$725$	−9.77585	+	5.64409i	−0.363066	+	0.209616i
$726$	−9.59006	−	29.0069i	−0.355920	−	1.07655i
$727$			22.6831i			0.841270i	0.907230	+	0.420635i	$0.138193\pi$
$727$			22.6831i			0.841270i	−0.907230	+	0.420635i	$0.861807\pi$
$728$	0.308166	+	0.474378i	0.0114214	+	0.0175816i
$729$	−9.13139	−	25.4090i	−0.338200	−	0.941074i
$730$	−1.61511	+	2.79746i	−0.0597780	+	0.103538i
$731$	0.721283	+	1.24930i	0.0266776	+	0.0462070i
$732$	5.03497	+	1.04319i	0.186098	+	0.0385575i
$733$	23.3264	+	13.4675i	0.861580	+	0.497433i	0.864541	−	0.502562i	$-0.167609\pi$
$733$	23.3264	+	13.4675i	0.861580	+	0.497433i	−0.00296118	+	0.999996i	$0.500943\pi$
$734$	−61.9648			−2.28716
$735$	19.1652	−	8.65812i	0.706917	−	0.319359i
$736$	−5.38096			−0.198345
$737$	−6.66066	−	3.84553i	−0.245349	−	0.141652i
$738$	−11.8191	−	15.9208i	−0.435067	−	0.586052i
$739$	−2.77822	−	4.81202i	−0.102198	−	0.177013i	0.810392	−	0.585888i	$-0.199254\pi$
$739$	−2.77822	−	4.81202i	−0.102198	−	0.177013i	−0.912590	+	0.408876i	$0.865921\pi$
$740$	15.2071	−	26.3395i	0.559025	−	0.968260i
$741$	3.97306	+	3.54054i	0.145954	+	0.130065i
$742$	27.7897	+	42.7783i	1.02019	+	1.57044i
$743$		−	15.4885i		−	0.568219i	−0.958792	−	0.284109i	$-0.908302\pi$
$743$		−	15.4885i		−	0.568219i	0.958792	−	0.284109i	$-0.0916978\pi$
$744$	3.04012	−	1.00510i	0.111456	−	0.0368488i
$745$	−6.67295	+	3.85263i	−0.244478	+	0.141149i
$746$	38.7147	−	22.3520i	1.41745	−	0.818364i
$747$	−44.9966	−	19.4819i	−1.64634	−	0.712807i
$748$			0.982644i			0.0359290i
$749$	2.16105	+	41.1174i	0.0789631	+	1.50240i
$750$	−28.3146	+	31.7735i	−1.03390	+	1.16020i
$751$	−23.6375	+	40.9413i	−0.862544	+	1.49397i	0.00692172	+	0.999976i	$0.497797\pi$
$751$	−23.6375	+	40.9413i	−0.862544	+	1.49397i	−0.869466	+	0.493994i	$0.835537\pi$
$752$	−20.7362	−	35.9162i	−0.756172	−	1.30973i
$753$	−4.84370	+	23.3781i	−0.176514	+	0.851946i
$754$	−9.94679	−	5.74278i	−0.362241	−	0.209140i
$755$	−13.1549			−0.478755
$756$	13.5413	+	25.5834i	0.492491	+	0.930461i
$757$	12.1688			0.442282			0.221141	−	0.975242i	$-0.429022\pi$
$757$	12.1688			0.442282			0.221141	+	0.975242i	$0.429022\pi$
$758$	24.4591	+	14.1215i	0.888395	+	0.512915i
$759$	0.354400	−	1.71051i	0.0128639	−	0.0620875i
$760$	0.569731	+	0.986804i	0.0206663	+	0.0357951i
$761$	−9.44864	+	16.3655i	−0.342513	+	0.593250i	−0.984899	−	0.173132i	$-0.944611\pi$
$761$	−9.44864	+	16.3655i	−0.342513	+	0.593250i	0.642386	+	0.766381i	$0.277945\pi$
$762$	15.1066	−	16.9520i	0.547255	−	0.614107i
$763$	20.5197	−	40.2871i	0.742863	−	1.45849i
$764$			47.1974i			1.70754i
$765$	−1.47118	−	0.636970i	−0.0531907	−	0.0230297i
$766$	−44.8049	+	25.8681i	−1.61887	+	0.934654i
$767$	−9.16547	+	5.29169i	−0.330946	+	0.191072i
$768$	−23.3199	+	7.70986i	−0.841485	+	0.278206i
$769$		−	39.7848i		−	1.43468i	−0.696726	−	0.717338i	$-0.745360\pi$
$769$		−	39.7848i		−	1.43468i	0.696726	−	0.717338i	$-0.254640\pi$
$770$	14.0664	−	0.739303i	0.506918	−	0.0266426i
$771$	33.6761	+	30.0101i	1.21281	+	1.08079i
$772$	−28.5836	+	49.5082i	−1.02874	+	1.78184i
$773$	−11.1042	−	19.2331i	−0.399392	−	0.691767i	0.594259	−	0.804274i	$-0.297445\pi$
$773$	−11.1042	−	19.2331i	−0.399392	−	0.691767i	−0.993651	+	0.112506i	$0.964112\pi$
$774$	16.9656	+	22.8533i	0.609815	+	0.821444i
$775$	−14.9113	−	8.60904i	−0.535630	−	0.309246i
$776$	−3.90196			−0.140072
$777$	−5.77053	+	37.7243i	−0.207016	+	1.35335i
$778$	6.68500			0.239669
$779$	8.67965	+	5.01120i	0.310981	+	0.179545i
$780$	−6.19408	−	1.28335i	−0.221783	−	0.0459512i
$781$	−1.44751	−	2.50717i	−0.0517961	−	0.0897136i
$782$	0.207803	−	0.359925i	0.00743102	−	0.0128709i
$783$	−24.0933	−	16.9433i	−0.861023	−	0.605505i
$784$	15.5502	+	21.3896i	0.555366	+	0.763914i
$785$		−	30.4730i		−	1.08763i
$786$	9.61629	+	29.0863i	0.343002	+	1.03747i
$787$	−3.52431	+	2.03476i	−0.125628	+	0.0725314i	−0.561497	−	0.827479i	$-0.689774\pi$
$787$	−3.52431	+	2.03476i	−0.125628	+	0.0725314i	0.435869	+	0.900010i	$0.356441\pi$
$788$	−45.7741	+	26.4277i	−1.63063	+	0.941447i
$789$	−3.05093	−	9.22811i	−0.108616	−	0.328530i
$790$			37.0819i			1.31932i
$791$	1.37980	−	0.896346i	0.0490600	−	0.0318704i
$792$	0.111495	+	0.965238i	0.00396181	+	0.0342982i
$793$	0.704974	−	1.22105i	0.0250344	−	0.0433608i
$794$	−27.2971	−	47.2800i	−0.968738	−	1.67790i
$795$	−27.9936	−	5.79997i	−0.992830	−	0.205704i
$796$	36.3590	+	20.9919i	1.28871	+	0.744038i
$797$	10.6447			0.377055			0.188528	−	0.982068i	$-0.439628\pi$
$797$	10.6447			0.377055			0.188528	+	0.982068i	$0.439628\pi$
$798$	−22.2658	−	17.8363i	−0.788200	−	0.631397i
$799$	3.38212			0.119651
$800$	−13.9386	−	8.04747i	−0.492805	−	0.284521i
$801$	12.2127	−	9.06636i	0.431516	−	0.320344i
$802$	15.2534	+	26.4196i	0.538615	+	0.932908i
$803$	0.696146	−	1.20576i	0.0245665	−	0.0425504i
$804$	−13.8234	−	12.3186i	−0.487514	−	0.434442i
$805$	−2.72253	−	1.38668i	−0.0959566	−	0.0488742i
$806$		−	17.5192i		−	0.617086i
$807$	27.7017	−	9.15852i	0.975145	−	0.322395i
$808$	−0.548454	+	0.316650i	−0.0192945	+	0.0111397i
$809$	23.8867	−	13.7910i	0.839810	−	0.484865i	−0.0173896	−	0.999849i	$-0.505536\pi$
$809$	23.8867	−	13.7910i	0.839810	−	0.484865i	0.857200	+	0.514984i	$0.172202\pi$
$810$	−30.2773	−	9.15385i	−1.06383	−	0.321634i
$811$			37.9462i			1.33247i	0.745741	+	0.666236i	$0.232096\pi$
$811$			37.9462i			1.33247i	−0.745741	+	0.666236i	$0.767904\pi$
$812$	28.1379	+	14.3316i	0.987445	+	0.502942i
$813$	−21.0291	+	23.5980i	−0.737522	+	0.827617i
$814$	−12.7807	+	22.1368i	−0.447962	+	0.775894i
$815$	8.28221	+	14.3452i	0.290113	+	0.502491i
$816$	0.408991	−	1.97400i	0.0143176	−	0.0691037i
$817$	−12.4591	−	7.19325i	−0.435888	−	0.251660i
$818$	−29.6795			−1.03772
$819$	7.82615	−	1.32337i	0.273468	−	0.0462422i
$820$	−11.9131			−0.416022
$821$	32.3061	+	18.6519i	1.12749	+	0.650957i	0.943303	−	0.331934i	$-0.107701\pi$
$821$	32.3061	+	18.6519i	1.12749	+	0.650957i	0.184188	+	0.982891i	$0.441034\pi$
$822$	0.437415	−	2.11118i	0.0152566	−	0.0736360i
$823$	5.84337	+	10.1210i	0.203687	+	0.352796i	0.949714	−	0.313120i	$-0.101374\pi$
$823$	5.84337	+	10.1210i	0.203687	+	0.352796i	−0.746027	+	0.665916i	$0.768041\pi$
$824$	0.0846134	−	0.146555i	0.00294765	−	0.00510548i
$825$	3.47616	−	3.90081i	0.121024	−	0.135809i
$826$	47.5780	−	30.9077i	1.65545	−	1.07542i
$827$		−	9.20801i		−	0.320194i	−0.987101	−	0.160097i	$-0.948819\pi$
$827$		−	9.20801i		−	0.320194i	0.987101	−	0.160097i	$-0.0511807\pi$
$828$	1.67090	−	3.85921i	0.0580679	−	0.134117i
$829$	−33.5995	+	19.3987i	−1.16696	+	0.673743i	−0.952961	−	0.303091i	$-0.901981\pi$
$829$	−33.5995	+	19.3987i	−1.16696	+	0.673743i	−0.213996	+	0.976835i	$0.568648\pi$
$830$	−49.7468	+	28.7214i	−1.72674	+	0.996933i
$831$	−18.7771	+	6.20796i	−0.651372	+	0.215352i
$832$		−	8.82073i		−	0.305804i
$833$	−2.14472	+	0.226069i	−0.0743100	+	0.00783282i
$834$	−7.45393	−	6.64248i	−0.258108	−	0.230010i
$835$	−12.0469	+	20.8658i	−0.416899	+	0.722091i
$836$	−4.89989	−	8.48685i	−0.169466	−	0.293524i
$837$	4.00659	−	44.7484i	0.138488	−	1.54673i
$838$	−17.3269	−	10.0037i	−0.598549	−	0.345572i
$839$	−30.5301			−1.05402			−0.527008	−	0.849860i	$-0.676686\pi$
$839$	−30.5301			−1.05402			−0.527008	+	0.849860i	$0.676686\pi$
$840$	1.67995	+	0.256975i	0.0579638	+	0.00886647i
$841$	−3.13189			−0.107996
$842$	17.7128	+	10.2265i	0.610424	+	0.352428i
$843$	14.6407	+	3.03339i	0.504251	+	0.104476i
$844$	15.5930	+	27.0078i	0.536733	+	0.929648i
$845$	−0.867268	+	1.50215i	−0.0298349	+	0.0516756i
$846$	66.2896	−	7.65715i	2.27908	−	0.263258i
$847$	23.0002	−	1.20885i	0.790298	−	0.0415365i
$848$		−	35.9487i		−	1.23448i
$849$	12.2764	+	37.1324i	0.421326	+	1.27438i
$850$	1.07657	−	0.621557i	0.0369260	−	0.0213192i
$851$	4.80166	−	2.77224i	0.164599	−	0.0950311i
$852$	−2.18777	−	6.61733i	−0.0749518	−	0.226706i
$853$		−	34.7034i		−	1.18822i	−0.804384	−	0.594110i	$-0.797504\pi$
$853$		−	34.7034i		−	1.18822i	0.804384	−	0.594110i	$-0.202496\pi$
$854$	−3.43048	+	6.73520i	−0.117389	+	0.230474i
$855$	15.8824	−	1.83459i	0.543168	−	0.0627417i
$856$	−1.66369	+	2.88159i	−0.0568636	+	0.0984907i
$857$	−0.961220	−	1.66488i	−0.0328346	−	0.0568713i	0.849141	−	0.528166i	$-0.177120\pi$
$857$	−0.961220	−	1.66488i	−0.0328346	−	0.0568713i	−0.881976	+	0.471295i	$0.843787\pi$
$858$	5.20575	+	1.07858i	0.177721	+	0.0368220i
$859$	−32.0941	−	18.5295i	−1.09504	−	0.632219i	−0.160123	−	0.987097i	$-0.551189\pi$
$859$	−32.0941	−	18.5295i	−1.09504	−	0.632219i	−0.934913	+	0.354878i	$0.884522\pi$
$860$	17.1004			0.583120
$861$	13.9269	−	5.43073i	0.474626	−	0.185079i
$862$	−17.7842			−0.605733
$863$	23.0290	+	13.2958i	0.783918	+	0.452595i	0.837817	−	0.545951i	$-0.183832\pi$
$863$	23.0290	+	13.2958i	0.783918	+	0.452595i	−0.0538990	+	0.998546i	$0.517165\pi$
$864$	3.74524	−	41.8294i	0.127416	−	1.42306i
$865$	2.86045	+	4.95445i	0.0972583	+	0.168456i
$866$	−0.764738	+	1.32457i	−0.0259869	+	0.0450106i
$867$	−21.8601	−	19.4803i	−0.742406	−	0.661587i
$868$	2.52801	+	48.0993i	0.0858062	+	1.63260i
$869$		−	15.9831i		−	0.542189i
$870$	−32.7620	+	10.8315i	−1.11074	+	0.367223i
$871$	−4.39695	+	2.53858i	−0.148985	+	0.0860166i
$872$	3.16417	−	1.82683i	0.107152	−	0.0618644i
$873$	−21.7531	+	50.2422i	−0.736231	+	1.70044i
$874$			4.14478i			0.140199i
$875$	−17.4785	−	26.9057i	−0.590882	−	0.909579i
$876$	2.23000	−	2.50241i	0.0753446	−	0.0845487i
$877$	−11.0211	+	19.0892i	−0.372158	+	0.644596i	−0.989897	−	0.141787i	$-0.954715\pi$
$877$	−11.0211	+	19.0892i	−0.372158	+	0.644596i	0.617739	+	0.786383i	$0.288049\pi$
$878$	12.8316	+	22.2250i	0.433046	+	0.750058i
$879$	−1.79407	+	8.65909i	−0.0605125	+	0.292064i
$880$	−8.59648	−	4.96318i	−0.289787	−	0.167309i
$881$	14.7511			0.496977			0.248488	−	0.968635i	$-0.420066\pi$
$881$	14.7511			0.496977			0.248488	+	0.968635i	$0.420066\pi$
$882$	−41.5246	+	9.28661i	−1.39821	+	0.312696i
$883$	−48.3692			−1.62775			−0.813877	−	0.581038i	$-0.802647\pi$
$883$	−48.3692			−1.62775			−0.813877	+	0.581038i	$0.802647\pi$
$884$	0.561774	+	0.324340i	0.0188945	+	0.0109087i
$885$	−6.45073	+	31.1344i	−0.216839	+	1.04657i
$886$	−3.35507	−	5.81114i	−0.112716	−	0.195229i
$887$	7.80406	−	13.5170i	0.262035	−	0.453858i	−0.704748	−	0.709458i	$-0.748940\pi$
$887$	7.80406	−	13.5170i	0.262035	−	0.453858i	0.966783	+	0.255600i	$0.0822731\pi$
$888$	−2.05182	+	2.30247i	−0.0688546	+	0.0772659i
$889$	9.32528	+	14.3550i	0.312760	+	0.481450i
$890$		−	17.8189i		−	0.597291i
$891$	13.0501	+	3.94550i	0.437196	+	0.132179i
$892$	20.4550	−	11.8097i	0.684883	−	0.395418i
$893$	−29.2105	+	16.8647i	−0.977493	+	0.564356i
$894$	14.8021	−	4.89376i	0.495056	−	0.163672i
$895$		−	32.5107i		−	1.08671i
$896$	0.237192	+	4.51296i	0.00792404	+	0.150767i
$897$	−0.860915	−	0.767195i	−0.0287451	−	0.0256159i
$898$	−33.6944	+	58.3603i	−1.12440	+	1.94751i
$899$	−24.5057	−	42.4451i	−0.817311	−	1.41562i
$900$	10.0999	−	7.49782i	0.336662	−	0.249927i
$901$	2.53889	+	1.46583i	0.0845826	+	0.0488338i
$902$	10.0122			0.333370
$903$	−19.9911	+	7.79546i	−0.665262	+	0.259417i
$904$	0.132967			0.00442242
$905$	10.2858	+	5.93848i	0.341910	+	0.197402i
$906$	26.0628	+	5.39994i	0.865880	+	0.179401i
$907$	26.8734	+	46.5461i	0.892316	+	1.54554i	0.837092	+	0.547063i	$0.184254\pi$
$907$	26.8734	+	46.5461i	0.892316	+	1.54554i	0.0552246	+	0.998474i	$0.482413\pi$
$908$	−5.36768	+	9.29709i	−0.178133	+	0.308535i
$909$	1.01964	+	8.82727i	0.0338195	+	0.292782i
$910$	4.22022	−	8.28572i	0.139899	−	0.274669i
$911$			52.7981i			1.74928i	0.484774	+	0.874639i	$0.338902\pi$
$911$			52.7981i			1.74928i	−0.484774	+	0.874639i	$0.661098\pi$
$912$	6.31084	+	19.0883i	0.208973	+	0.632077i
$913$	21.4419	−	12.3795i	0.709624	−	0.409701i
$914$	42.0262	−	24.2638i	1.39010	−	0.802576i
$915$	−1.32966	−	4.02181i	−0.0439572	−	0.132957i
$916$			3.58959i			0.118603i
$917$	−23.0632	+	1.21216i	−0.761613	+	0.0400289i
$918$	2.65328	+	1.86589i	0.0875712	+	0.0615835i
$919$	−19.8592	+	34.3972i	−0.655095	+	1.13466i	0.326775	+	0.945102i	$0.394038\pi$
$919$	−19.8592	+	34.3972i	−0.655095	+	1.13466i	−0.981870	+	0.189556i	$0.939295\pi$
$920$	−0.123454	−	0.213829i	−0.00407016	−	0.00704973i
$921$	−26.4811	−	5.48660i	−0.872581	−	0.180790i
$922$	−32.8244	−	18.9512i	−1.08102	−	0.624125i
$923$	−1.91112			−0.0629052
$924$	−14.4482	−	2.21007i	−0.475309	−	0.0727060i
$925$	16.5840			0.545279
$926$	−59.2140	−	34.1872i	−1.94589	−	1.12346i
$927$	−1.41535	−	1.90653i	−0.0464861	−	0.0626185i
$928$	−22.9072	−	39.6764i	−0.751965	−	1.30244i
$929$	−8.70639	+	15.0799i	−0.285647	+	0.494756i	−0.972766	−	0.231789i	$-0.925542\pi$
$929$	−8.70639	+	15.0799i	−0.285647	+	0.494756i	0.687119	+	0.726545i	$0.258875\pi$
$930$	−39.2944	−	35.0167i	−1.28851	−	1.14824i
$931$	17.3961	−	12.6470i	0.570134	−	0.414488i
$932$		−	46.0941i		−	1.50986i
$933$	0.958607	−	0.316928i	0.0313834	−	0.0103757i
$934$	19.4266	−	11.2159i	0.635657	−	0.366997i
$935$	0.701052	−	0.404753i	0.0229269	−	0.0132368i
$936$	0.588624	+	0.254854i	0.0192398	+	0.00833015i
$937$		−	36.7521i		−	1.20064i	−0.799760	−	0.600320i	$-0.795040\pi$
$937$		−	36.7521i		−	1.20064i	0.799760	−	0.600320i	$-0.204960\pi$
$938$	22.8246	−	14.8274i	0.745250	−	0.484130i
$939$	−13.0440	+	14.6375i	−0.425676	+	0.477677i
$940$	20.0461	−	34.7209i	0.653833	−	1.13247i
$941$	−5.03567	−	8.72204i	−0.164158	−	0.284330i	0.772198	−	0.635382i	$-0.219157\pi$
$941$	−5.03567	−	8.72204i	−0.164158	−	0.284330i	−0.936356	+	0.351052i	$0.885824\pi$
$942$	−12.5088	+	60.3739i	−0.407560	+	1.96709i
$943$	−1.88078	−	1.08587i	−0.0612466	−	0.0353607i
$944$	−39.9821			−1.30131
$945$	12.6744	−	20.1987i	0.412300	−	0.657063i
$946$	−14.3719			−0.467271
$947$	−24.9698	−	14.4163i	−0.811410	−	0.468468i	0.0360351	−	0.999351i	$-0.488527\pi$
$947$	−24.9698	−	14.4163i	−0.811410	−	0.468468i	−0.847445	+	0.530883i	$0.821861\pi$
$948$	7.80649	−	37.6780i	0.253543	−	1.22373i
$949$	−0.459553	−	0.795968i	−0.0149177	−	0.0258382i
$950$	−6.19870	+	10.7365i	−0.201112	+	0.348337i
$951$	−3.75983	+	4.21914i	−0.121921	+	0.136815i
$952$	−0.155296	−	0.0790980i	−0.00503317	−	0.00256358i
$953$		−	18.9145i		−	0.612702i	−0.951919	−	0.306351i	$-0.900892\pi$
$953$		−	18.9145i		−	0.612702i	0.951919	−	0.306351i	$-0.0991081\pi$
$954$	53.0808	+	22.9821i	1.71856	+	0.744074i
$955$	33.6723	−	19.4407i	1.08961	−	0.629086i
$956$	−52.0246	+	30.0364i	−1.68260	+	0.971447i
$957$	14.1211	−	4.66862i	0.456471	−	0.150915i
$958$		−	77.1039i		−	2.49112i
$959$	1.44834	+	0.737694i	0.0467694	+	0.0238214i
$960$	−19.7843	−	17.6306i	−0.638537	−	0.569025i
$961$	21.8791	−	37.8957i	0.705777	−	1.22244i
$962$	8.43701	+	14.6133i	0.272020	+	0.471152i
$963$	27.8288	+	37.4865i	0.896772	+	1.20799i
$964$	28.2357	+	16.3019i	0.909410	+	0.525048i
$965$	47.0944			1.51602
$966$	4.82473	+	3.86491i	0.155233	+	0.124351i
$967$	0.612788			0.0197059			0.00985296	−	0.999951i	$-0.496864\pi$
$967$	0.612788			0.0197059			0.00985296	+	0.999951i	$0.496864\pi$
$968$	1.61190	+	0.930633i	0.0518086	+	0.0299117i
$969$	−1.60545	−	0.332632i	−0.0515744	−	0.0106857i
$970$	32.0696	+	55.5462i	1.02969	+	1.78348i
$971$	−3.18087	+	5.50943i	−0.102079	+	0.176806i	−0.912541	−	0.408985i	$-0.865883\pi$
$971$	−3.18087	+	5.50943i	−0.102079	+	0.176806i	0.810462	+	0.585791i	$0.199216\pi$
$972$	28.8369	+	15.6750i	0.924945	+	0.502775i
$973$	6.31197	−	4.10039i	0.202353	−	0.131452i
$974$		−	22.7107i		−	0.727697i
$975$	−1.08271	−	3.27485i	−0.0346743	−	0.104879i
$976$	4.61291	−	2.66327i	0.147656	−	0.0852491i
$977$	−18.4739	+	10.6659i	−0.591033	+	0.341233i	−0.765506	−	0.643429i	$-0.777511\pi$
$977$	−18.4739	+	10.6659i	−0.591033	+	0.341233i	0.174473	+	0.984662i	$0.444178\pi$
$978$	−10.5204	−	31.8209i	−0.336405	−	1.01752i
$979$			7.68031i			0.245464i
$980$	−10.3911	+	23.3576i	−0.331932	+	0.746133i
$981$	−5.88259	−	50.9268i	−0.187817	−	1.62597i
$982$	−12.3682	+	21.4223i	−0.394685	+	0.683614i
$983$	2.69139	+	4.66162i	0.0858419	+	0.148682i	0.905750	−	0.423813i	$-0.139309\pi$
$983$	2.69139	+	4.66162i	0.0858419	+	0.148682i	−0.819908	+	0.572496i	$0.805975\pi$
$984$	1.18288	+	0.245080i	0.0377088	+	0.00781287i
$985$	37.7088	+	21.7712i	1.20150	+	0.693688i
$986$	3.53854			0.112690
$987$	−7.60675	+	49.7285i	−0.242126	+	1.58288i
$988$	−6.46920			−0.205813
$989$	2.69974	+	1.55869i	0.0858467	+	0.0495636i
$990$	12.8243	−	9.52034i	0.407582	−	0.302576i
$991$	−8.40195	−	14.5526i	−0.266897	−	0.462279i	0.701162	−	0.713002i	$-0.252665\pi$
$991$	−8.40195	−	14.5526i	−0.266897	−	0.462279i	−0.968059	+	0.250723i	$0.919332\pi$
$992$	34.9408	−	60.5192i	1.10937	−	1.92149i
$993$	35.0806	+	31.2617i	1.11325	+	0.992059i
$994$	10.2311	−	0.537726i	0.324510	−	0.0170556i
$995$		−	34.5864i		−	1.09646i
$996$	56.5930	−	18.7103i	1.79322	−	0.592860i
$997$	8.32451	−	4.80616i	0.263640	−	0.152213i	−0.362354	−	0.932041i	$-0.618027\pi$
$997$	8.32451	−	4.80616i	0.263640	−	0.152213i	0.625994	+	0.779828i	$0.284694\pi$
$998$	17.4533	−	10.0767i	0.552476	−	0.318972i
$999$	18.2082	+	39.2556i	0.576082	+	1.24199i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bh.a.131.5	✓	64
3.2	odd	2	inner	273.2.bh.a.131.28	yes	64
7.3	odd	6	inner	273.2.bh.a.248.28	yes	64
21.17	even	6	inner	273.2.bh.a.248.5	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bh.a.131.5	✓	64	1.1	even	1	trivial
273.2.bh.a.131.28	yes	64	3.2	odd	2	inner
273.2.bh.a.248.5	yes	64	21.17	even	6	inner
273.2.bh.a.248.28	yes	64	7.3	odd	6	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.bh (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.75475 - 1.01310i) q^{2} +(0.351400 - 1.69603i) q^{3} +(1.05276 + 1.82344i) q^{4} +(0.867268 - 1.50215i) q^{5} +(-2.33487 + 2.62010i) q^{6} +(-1.44131 - 2.21870i) q^{7} -0.213809i q^{8} +(-2.75304 - 1.19197i) q^{9} +O(q^{10})\)	\(q+(-1.75475 - 1.01310i) q^{2} +(0.351400 - 1.69603i) q^{3} +(1.05276 + 1.82344i) q^{4} +(0.867268 - 1.50215i) q^{5} +(-2.33487 + 2.62010i) q^{6} +(-1.44131 - 2.21870i) q^{7} -0.213809i q^{8} +(-2.75304 - 1.19197i) q^{9} +(-3.04367 + 1.75727i) q^{10} +(1.31189 - 0.757418i) q^{11} +(3.46254 - 1.14476i) q^{12} -1.00000i q^{13} +(0.281367 + 5.35346i) q^{14} +(-2.24294 - 1.99877i) q^{15} +(1.88891 - 3.27169i) q^{16} +(0.154043 + 0.266810i) q^{17} +(3.62330 + 4.88072i) q^{18} +(-2.66086 - 1.53625i) q^{19} +3.65210 q^{20} +(-4.26945 + 1.66486i) q^{21} -3.06937 q^{22} +(0.576577 + 0.332887i) q^{23} +(-0.362627 - 0.0751324i) q^{24} +(0.995693 + 1.72459i) q^{25} +(-1.01310 + 1.75475i) q^{26} +(-2.98903 + 4.25038i) q^{27} +(2.52829 - 4.96390i) q^{28} +5.66850i q^{29} +(1.91083 + 5.77966i) q^{30} +(-7.48790 + 4.32314i) q^{31} +(-6.99945 + 4.04114i) q^{32} +(-0.823607 - 2.49115i) q^{33} -0.624246i q^{34} +(-4.58282 + 0.240864i) q^{35} +(-0.724811 - 6.27484i) q^{36} +(4.16394 - 7.21215i) q^{37} +(3.11276 + 5.39145i) q^{38} +(-1.69603 - 0.351400i) q^{39} +(-0.321174 - 0.185430i) q^{40} -3.26198 q^{41} +(9.17849 + 1.40399i) q^{42} +4.68236 q^{43} +(2.76220 + 1.59476i) q^{44} +(-4.17814 + 3.10172i) q^{45} +(-0.674498 - 1.16826i) q^{46} +(5.48893 - 9.50711i) q^{47} +(-4.88512 - 4.35332i) q^{48} +(-2.84524 + 6.39567i) q^{49} -4.03497i q^{50} +(0.506648 - 0.167504i) q^{51} +(1.82344 - 1.05276i) q^{52} +(8.24085 - 4.75786i) q^{53} +(9.55107 - 4.43014i) q^{54} -2.62754i q^{55} +(-0.474378 + 0.308166i) q^{56} +(-3.54054 + 3.97306i) q^{57} +(5.74278 - 9.94679i) q^{58} +(-5.29169 - 9.16547i) q^{59} +(1.28335 - 6.19408i) q^{60} +(1.22105 + 0.704974i) q^{61} +17.5192 q^{62} +(1.32337 + 7.82615i) q^{63} +8.82073 q^{64} +(-1.50215 - 0.867268i) q^{65} +(-1.07858 + 5.20575i) q^{66} +(-2.53858 - 4.39695i) q^{67} +(-0.324340 + 0.561774i) q^{68} +(0.767195 - 0.860915i) q^{69} +(8.28572 + 4.22022i) q^{70} -1.91112i q^{71} +(-0.254854 + 0.588624i) q^{72} +(0.795968 - 0.459553i) q^{73} +(-14.6133 + 8.43701i) q^{74} +(3.27485 - 1.08271i) q^{75} -6.46920i q^{76} +(-3.57132 - 1.81900i) q^{77} +(2.62010 + 2.33487i) q^{78} +(5.27552 - 9.13746i) q^{79} +(-3.27638 - 5.67486i) q^{80} +(6.15842 + 6.56307i) q^{81} +(5.72395 + 3.30472i) q^{82} +16.3443 q^{83} +(-7.53048 - 6.03238i) q^{84} +0.534385 q^{85} +(-8.21636 - 4.74372i) q^{86} +(9.61395 + 1.99191i) q^{87} +(-0.161943 - 0.280493i) q^{88} +(-2.53503 + 4.39080i) q^{89} +(10.4739 - 1.20985i) q^{90} +(-2.21870 + 1.44131i) q^{91} +1.40180i q^{92} +(4.70093 + 14.2189i) q^{93} +(-19.2634 + 11.1217i) q^{94} +(-4.61535 + 2.66467i) q^{95} +(4.39428 + 13.2913i) q^{96} -18.2497i q^{97} +(11.4722 - 8.34027i) q^{98} +(-4.51449 + 0.521472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q + 32 q^{4} - 4 q^{7} - 4 q^{9}+O(q^{10}) \) 64 * q + 32 * q^4 - 4 * q^7 - 4 * q^9	\( 64 q + 32 q^{4} - 4 q^{7} - 4 q^{9} - 12 q^{10} - 30 q^{12} + 12 q^{15} - 16 q^{16} - 10 q^{18} + 10 q^{21} - 8 q^{22} + 36 q^{24} - 36 q^{25} - 20 q^{28} - 22 q^{30} + 12 q^{31} + 36 q^{36} - 36 q^{40} + 48 q^{42} - 32 q^{43} - 6 q^{45} - 48 q^{46} + 36 q^{49} - 16 q^{51} - 54 q^{54} - 8 q^{57} - 12 q^{58} + 16 q^{60} - 72 q^{61} - 86 q^{63} - 48 q^{64} - 78 q^{66} + 32 q^{67} - 4 q^{70} + 62 q^{72} + 48 q^{73} + 48 q^{75} - 20 q^{78} - 64 q^{79} + 28 q^{81} + 72 q^{82} - 18 q^{84} + 64 q^{85} + 60 q^{87} + 44 q^{88} + 8 q^{91} - 38 q^{93} + 72 q^{94} + 66 q^{96} - 68 q^{99}+O(q^{100}) \) 64 * q + 32 * q^4 - 4 * q^7 - 4 * q^9 - 12 * q^10 - 30 * q^12 + 12 * q^15 - 16 * q^16 - 10 * q^18 + 10 * q^21 - 8 * q^22 + 36 * q^24 - 36 * q^25 - 20 * q^28 - 22 * q^30 + 12 * q^31 + 36 * q^36 - 36 * q^40 + 48 * q^42 - 32 * q^43 - 6 * q^45 - 48 * q^46 + 36 * q^49 - 16 * q^51 - 54 * q^54 - 8 * q^57 - 12 * q^58 + 16 * q^60 - 72 * q^61 - 86 * q^63 - 48 * q^64 - 78 * q^66 + 32 * q^67 - 4 * q^70 + 62 * q^72 + 48 * q^73 + 48 * q^75 - 20 * q^78 - 64 * q^79 + 28 * q^81 + 72 * q^82 - 18 * q^84 + 64 * q^85 + 60 * q^87 + 44 * q^88 + 8 * q^91 - 38 * q^93 + 72 * q^94 + 66 * q^96 - 68 * q^99

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