LMFDB - Embedded newform 588.2.n.d.263.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [588,2,Mod(263,588)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("588.263"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(588, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([3, 3, 4])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$588 = 2^{2} \cdot 3 \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	588.n (of order $6$ , degree $2$ , not minimal)

Newform invariants

comment:select newform

sage:traces = [24,0,0,-12,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(6)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$12$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			263.11
Character	$\chi$	$=$	588.263
Dual form			588.2.n.d.275.11

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.13414 + 0.844822i) q^{2} +(-0.235755 + 1.71593i) q^{3} +(0.572551 + 1.91629i) q^{4} +(3.44057 - 1.98641i) q^{5} +(-1.71704 + 1.74694i) q^{6} +(-0.969574 + 2.65705i) q^{8} +(-2.88884 - 0.809079i) q^{9} +(5.58025 + 0.653796i) q^{10} +(-1.65172 + 2.86086i) q^{11} +(-3.42321 + 0.530682i) q^{12} +0.850601 q^{13} +(2.59742 + 6.37208i) q^{15} +(-3.34437 + 2.19435i) q^{16} +(0.499236 + 0.288234i) q^{17} +(-2.59282 - 3.35816i) q^{18} +(3.11023 - 1.79569i) q^{19} +(5.77645 + 5.45582i) q^{20} +(-4.29021 + 1.84921i) q^{22} +(1.98085 + 3.43094i) q^{23} +(-4.33074 - 2.29014i) q^{24} +(5.39167 - 9.33865i) q^{25} +(0.964701 + 0.718606i) q^{26} +(2.06938 - 4.76630i) q^{27} +3.37929i q^{29} +(-2.43744 + 9.42120i) q^{30} +(-4.24264 - 2.44949i) q^{31} +(-5.64683 - 0.336691i) q^{32} +(-4.51964 - 3.50870i) q^{33} +(0.322697 + 0.748663i) q^{34} +(-0.103574 - 5.99911i) q^{36} +(-2.14510 - 3.71543i) q^{37} +(5.04449 + 0.591024i) q^{38} +(-0.200534 + 1.45957i) q^{39} +(1.94212 + 11.0677i) q^{40} +5.35550i q^{41} -7.66518i q^{43} +(-6.42795 - 1.52719i) q^{44} +(-11.5464 + 2.95473i) q^{45} +(-0.651966 + 5.56464i) q^{46} +(-4.54525 - 7.87260i) q^{47} +(-2.97691 - 6.25604i) q^{48} +(14.0044 - 6.03634i) q^{50} +(-0.612287 + 0.788701i) q^{51} +(0.487013 + 1.63000i) q^{52} +(0.527096 + 0.304319i) q^{53} +(6.37365 - 3.65740i) q^{54} +13.1240i q^{55} +(2.34803 + 5.76029i) q^{57} +(-2.85490 + 3.83259i) q^{58} +(3.93980 - 6.82394i) q^{59} +(-10.7236 + 8.62576i) q^{60} +(-4.87315 - 8.44054i) q^{61} +(-2.74237 - 6.36234i) q^{62} +(-6.11985 - 5.15242i) q^{64} +(2.92655 - 1.68964i) q^{65} +(-2.16168 - 7.79766i) q^{66} +(7.83384 + 4.52287i) q^{67} +(-0.266503 + 1.12171i) q^{68} +(-6.35425 + 2.59015i) q^{69} -9.15654 q^{71} +(4.95071 - 6.89133i) q^{72} +(-0.707107 + 1.22474i) q^{73} +(0.706026 - 6.02605i) q^{74} +(14.7534 + 11.4534i) q^{75} +(5.22185 + 4.93200i) q^{76} +(-1.46051 + 1.48595i) q^{78} +(6.00000 - 3.46410i) q^{79} +(-7.14764 + 14.1931i) q^{80} +(7.69078 + 4.67460i) q^{81} +(-4.52445 + 6.07390i) q^{82} -4.13877 q^{83} +2.29021 q^{85} +(6.47571 - 8.69339i) q^{86} +(-5.79863 - 0.796685i) q^{87} +(-6.00000 - 7.16253i) q^{88} +(4.98550 - 2.87838i) q^{89} +(-15.5915 - 6.40358i) q^{90} +(-5.44055 + 5.76029i) q^{92} +(5.20338 - 6.70260i) q^{93} +(1.49600 - 12.7686i) q^{94} +(7.13398 - 12.3564i) q^{95} +(1.90901 - 9.61019i) q^{96} +13.5487 q^{97} +(7.08622 - 6.92820i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$24 q - 12 q^{4} - 36 q^{16} - 12 q^{18} + 12 q^{25} + 12 q^{30} + 12 q^{36} + 96 q^{39} - 96 q^{46} - 12 q^{51} - 24 q^{57} - 120 q^{58} - 84 q^{60} - 48 q^{64} + 48 q^{67} - 72 q^{72} - 24 q^{78} + 144 q^{79}+ \cdots - 24 q^{93}+O(q^{100})$ 24 * q - 12 * q^4 - 36 * q^16 - 12 * q^18 + 12 * q^25 + 12 * q^30 + 12 * q^36 + 96 * q^39 - 96 * q^46 - 12 * q^51 - 24 * q^57 - 120 * q^58 - 84 * q^60 - 48 * q^64 + 48 * q^67 - 72 * q^72 - 24 * q^78 + 144 * q^79 + 12 * q^81 - 48 * q^85 - 144 * q^88 - 24 * q^93

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$ .

$n$	$197$	$295$	$493$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	1.13414	+	0.844822i	0.801959	+	0.597379i
$2$	1.13414	+	0.844822i	0.801959	+	0.597379i
$3$	−0.235755	+	1.71593i	−0.136113	+	0.990693i
$3$	−0.235755	+	1.71593i	−0.136113	+	0.990693i
$4$	0.572551	+	1.91629i	0.286276	+	0.958147i
$5$	3.44057	−	1.98641i	1.53867	−	0.888351i	0.539752	−	0.841824i	$-0.318518\pi$
$5$	3.44057	−	1.98641i	1.53867	−	0.888351i	0.998917	−	0.0465264i	$-0.0148152\pi$
$6$	−1.71704	+	1.74694i	−0.700977	+	0.713184i
$7$		0			0
$7$		0			0
$8$	−0.969574	+	2.65705i	−0.342796	+	0.939410i
$9$	−2.88884	−	0.809079i	−0.962946	−	0.269693i
$10$	5.58025	+	0.653796i	1.76463	+	0.206748i
$11$	−1.65172	+	2.86086i	−0.498013	+	0.862583i	−0.999997	−	0.00229340i	$-0.999270\pi$
$11$	−1.65172	+	2.86086i	−0.498013	+	0.862583i	0.501985	+	0.864876i	$0.332603\pi$
$12$	−3.42321	+	0.530682i	−0.988196	+	0.153195i
$13$	0.850601			0.235914			0.117957	−	0.993019i	$-0.462365\pi$
$13$	0.850601			0.235914			0.117957	+	0.993019i	$0.462365\pi$
$14$		0			0
$15$	2.59742	+	6.37208i	0.670650	+	1.64527i
$16$	−3.34437	+	2.19435i	−0.836092	+	0.548589i
$17$	0.499236	+	0.288234i	0.121082	+	0.0699070i	0.559318	−	0.828953i	$-0.311063\pi$
$17$	0.499236	+	0.288234i	0.121082	+	0.0699070i	−0.438236	+	0.898860i	$0.644396\pi$
$18$	−2.59282	−	3.35816i	−0.611134	−	0.791527i
$19$	3.11023	−	1.79569i	0.713537	−	0.411960i	−0.0988326	−	0.995104i	$-0.531511\pi$
$19$	3.11023	−	1.79569i	0.713537	−	0.411960i	0.812369	+	0.583144i	$0.198178\pi$
$20$	5.77645	+	5.45582i	1.29165	+	1.21996i
$21$		0			0
$22$	−4.29021	+	1.84921i	−0.914675	+	0.394254i
$23$	1.98085	+	3.43094i	0.413037	+	0.715401i	0.995220	−	0.0976569i	$-0.0311348\pi$
$23$	1.98085	+	3.43094i	0.413037	+	0.715401i	−0.582183	+	0.813057i	$0.697801\pi$
$24$	−4.33074	−	2.29014i	−0.884008	−	0.467472i
$25$	5.39167	−	9.33865i	1.07833	−	1.86773i
$26$	0.964701	+	0.718606i	0.189193	+	0.140930i
$27$	2.06938	−	4.76630i	0.398253	−	0.917276i
$28$		0			0
$29$			3.37929i			0.627518i	0.949503	+	0.313759i	$0.101588\pi$
$29$			3.37929i			0.627518i	−0.949503	+	0.313759i	$0.898412\pi$
$30$	−2.43744	+	9.42120i	−0.445014	+	1.72007i
$31$	−4.24264	−	2.44949i	−0.762001	−	0.439941i	0.0680129	−	0.997684i	$-0.478334\pi$
$31$	−4.24264	−	2.44949i	−0.762001	−	0.439941i	−0.830014	+	0.557743i	$0.811667\pi$
$32$	−5.64683	−	0.336691i	−0.998227	−	0.0595191i
$33$	−4.51964	−	3.50870i	−0.786769	−	0.610787i
$34$	0.322697	+	0.748663i	0.0553421	+	0.128395i
$35$		0			0
$36$	−0.103574	−	5.99911i	−0.0172624	−	0.999851i
$37$	−2.14510	−	3.71543i	−0.352653	−	0.610812i	0.634061	−	0.773283i	$-0.281387\pi$
$37$	−2.14510	−	3.71543i	−0.352653	−	0.610812i	−0.986713	+	0.162471i	$0.948054\pi$
$38$	5.04449	+	0.591024i	0.818324	+	0.0958767i
$39$	−0.200534	+	1.45957i	−0.0321111	+	0.233719i
$40$	1.94212	+	11.0677i	0.307076	+	1.74996i
$41$			5.35550i			0.836389i	0.908357	+	0.418195i	$0.137337\pi$
$41$			5.35550i			0.836389i	−0.908357	+	0.418195i	$0.862663\pi$
$42$		0			0
$43$		−	7.66518i		−	1.16893i	−0.811419	−	0.584464i	$-0.801305\pi$
$43$		−	7.66518i		−	1.16893i	0.811419	−	0.584464i	$-0.198695\pi$
$44$	−6.42795	−	1.52719i	−0.969050	−	0.230233i
$45$	−11.5464	+	2.95473i	−1.72124	+	0.440466i
$46$	−0.651966	+	5.56464i	−0.0961272	+	0.820461i
$47$	−4.54525	−	7.87260i	−0.662993	−	1.14834i	−0.979825	−	0.199856i	$-0.935953\pi$
$47$	−4.54525	−	7.87260i	−0.662993	−	1.14834i	0.316833	−	0.948481i	$-0.397381\pi$
$48$	−2.97691	−	6.25604i	−0.429680	−	0.902981i
$49$		0			0
$50$	14.0044	−	6.03634i	1.98052	−	0.853667i
$51$	−0.612287	+	0.788701i	−0.0857373	+	0.110440i
$52$	0.487013	+	1.63000i	0.0675365	+	0.226041i
$53$	0.527096	+	0.304319i	0.0724023	+	0.0418015i	0.535764	−	0.844368i	$-0.320024\pi$
$53$	0.527096	+	0.304319i	0.0724023	+	0.0418015i	−0.463362	+	0.886169i	$0.653357\pi$
$54$	6.37365	−	3.65740i	0.867344	−	0.497709i
$55$			13.1240i			1.76964i
$56$		0			0
$57$	2.34803	+	5.76029i	0.311005	+	0.762969i
$58$	−2.85490	+	3.83259i	−0.374866	+	0.503244i
$59$	3.93980	−	6.82394i	0.512919	−	0.888401i	−0.486969	−	0.873419i	$-0.661898\pi$
$59$	3.93980	−	6.82394i	0.512919	−	0.888401i	0.999888	−	0.0149820i	$-0.00476911\pi$
$60$	−10.7236	+	8.62576i	−1.38442	+	1.11358i
$61$	−4.87315	−	8.44054i	−0.623943	−	1.08070i	−0.988744	−	0.149615i	$-0.952197\pi$
$61$	−4.87315	−	8.44054i	−0.623943	−	1.08070i	0.364802	−	0.931085i	$-0.381137\pi$
$62$	−2.74237	−	6.36234i	−0.348281	−	0.808018i
$63$		0			0
$64$	−6.11985	−	5.15242i	−0.764982	−	0.644052i
$65$	2.92655	−	1.68964i	0.362994	−	0.209575i
$66$	−2.16168	−	7.79766i	−0.266085	−	0.959825i
$67$	7.83384	+	4.52287i	0.957056	+	0.552557i	0.895266	−	0.445532i	$-0.146986\pi$
$67$	7.83384	+	4.52287i	0.957056	+	0.552557i	0.0617904	+	0.998089i	$0.480319\pi$
$68$	−0.266503	+	1.12171i	−0.0323182	+	0.136027i
$69$	−6.35425	+	2.59015i	−0.764962	+	0.311817i
$70$		0			0
$71$	−9.15654			−1.08668			−0.543341	−	0.839512i	$-0.682841\pi$
$71$	−9.15654			−1.08668			−0.543341	+	0.839512i	$0.682841\pi$
$72$	4.95071	−	6.89133i	0.583447	−	0.812151i
$73$	−0.707107	+	1.22474i	−0.0827606	+	0.143346i	−0.904435	−	0.426612i	$-0.859707\pi$
$73$	−0.707107	+	1.22474i	−0.0827606	+	0.143346i	0.821674	+	0.569958i	$0.193040\pi$
$74$	0.706026	−	6.02605i	0.0820738	−	0.700514i
$75$	14.7534	+	11.4534i	1.70357	+	1.32252i
$76$	5.22185	+	4.93200i	0.598987	+	0.565739i
$77$		0			0
$78$	−1.46051	+	1.48595i	−0.165370	+	0.168250i
$79$	6.00000	−	3.46410i	0.675053	−	0.389742i	−0.122936	−	0.992415i	$-0.539231\pi$
$79$	6.00000	−	3.46410i	0.675053	−	0.389742i	0.797988	+	0.602673i	$0.205898\pi$
$80$	−7.14764	+	14.1931i	−0.799130	+	1.58684i
$81$	7.69078	+	4.67460i	0.854531	+	0.519400i
$82$	−4.52445	+	6.07390i	−0.499642	+	0.670750i
$83$	−4.13877			−0.454289			−0.227144	−	0.973861i	$-0.572939\pi$
$83$	−4.13877			−0.454289			−0.227144	+	0.973861i	$0.572939\pi$
$84$		0			0
$85$	2.29021			0.248408
$86$	6.47571	−	8.69339i	0.698294	−	0.937433i
$87$	−5.79863	−	0.796685i	−0.621678	−	0.0854136i
$88$	−6.00000	−	7.16253i	−0.639602	−	0.763528i
$89$	4.98550	−	2.87838i	0.528462	−	0.305108i	−0.211928	−	0.977285i	$-0.567974\pi$
$89$	4.98550	−	2.87838i	0.528462	−	0.305108i	0.740390	+	0.672177i	$0.234641\pi$
$90$	−15.5915	−	6.40358i	−1.64349	−	0.674996i
$91$		0			0
$92$	−5.44055	+	5.76029i	−0.567217	+	0.600552i
$93$	5.20338	−	6.70260i	0.539565	−	0.695027i
$94$	1.49600	−	12.7686i	0.154300	−	1.31698i
$95$	7.13398	−	12.3564i	0.731931	−	1.26774i
$96$	1.90901	−	9.61019i	0.194837	−	0.980836i
$97$	13.5487			1.37567			0.687833	−	0.725869i	$-0.258562\pi$
$97$	13.5487			1.37567			0.687833	+	0.725869i	$0.258562\pi$
$98$		0			0
$99$	7.08622	−	6.92820i	0.712192	−	0.696311i
$100$	20.9826	+	4.98517i	2.09826	+	0.498517i
$101$	6.18294	+	3.56972i	0.615225	+	0.355200i	0.775008	−	0.631952i	$-0.217746\pi$
$101$	6.18294	+	3.56972i	0.615225	+	0.355200i	−0.159782	+	0.987152i	$0.551079\pi$
$102$	−1.36073	+	0.377225i	−0.134733	+	0.0373509i
$103$	−9.10090	+	5.25441i	−0.896738	+	0.517732i	−0.876141	−	0.482056i	$-0.839890\pi$
$103$	−9.10090	+	5.25441i	−0.896738	+	0.517732i	−0.0205978	+	0.999788i	$0.506557\pi$
$104$	−0.824720	+	2.26009i	−0.0808705	+	0.221620i
$105$		0			0
$106$	0.340706	+	0.790444i	0.0330923	+	0.0767747i
$107$	0.616561	+	1.06792i	0.0596052	+	0.103239i	0.894288	−	0.447491i	$-0.147682\pi$
$107$	0.616561	+	1.06792i	0.0596052	+	0.103239i	−0.834683	+	0.550731i	$0.814349\pi$
$108$	10.3185	+	1.23659i	0.992895	+	0.118991i
$109$	1.60147	−	2.77382i	0.153393	−	0.265684i	−0.779080	−	0.626925i	$-0.784313\pi$
$109$	1.60147	−	2.77382i	0.153393	−	0.265684i	0.932473	+	0.361241i	$0.117647\pi$
$110$	−11.0874	+	14.8845i	−1.05715	+	1.41918i
$111$	6.88114	−	2.80492i	0.653128	−	0.266231i
$112$		0			0
$113$		−	19.9097i		−	1.87294i	−0.350744	−	0.936471i	$-0.614071\pi$
$113$		−	19.9097i		−	1.87294i	0.350744	−	0.936471i	$-0.385929\pi$
$114$	−2.20342	+	8.51665i	−0.206369	+	0.797658i
$115$	13.6305	+	7.86959i	1.27105	+	0.733843i
$116$	−6.47571	+	1.93482i	−0.601255	+	0.179643i
$117$	−2.45725	−	0.688203i	−0.227173	−	0.0636244i
$118$	10.2333	−	4.41088i	0.942052	−	0.406054i
$119$		0			0
$120$	−19.4493	+	0.723262i	−1.77547	+	0.0660244i
$121$	0.0436371	+	0.0755817i	0.00396701	+	0.00687107i
$122$	1.60392	−	13.6897i	0.145212	−	1.23941i
$123$	−9.18967	−	1.26259i	−0.828605	−	0.113844i
$124$	2.26481	−	9.53261i	0.203386	−	0.856053i
$125$		−	22.9762i		−	2.05505i
$126$		0			0
$127$			16.4426i			1.45904i	0.683957	+	0.729522i	$0.260258\pi$
$127$			16.4426i			1.45904i	−0.683957	+	0.729522i	$0.739742\pi$
$128$	−2.58790	−	11.0138i	−0.228740	−	0.973488i
$129$	13.1529	+	1.80711i	1.15805	+	0.159107i
$130$	4.74657	+	0.556119i	0.416302	+	0.0487749i
$131$	1.13845	+	1.97186i	0.0994670	+	0.172282i	0.911464	−	0.411379i	$-0.134953\pi$
$131$	1.13845	+	1.97186i	0.0994670	+	0.172282i	−0.811997	+	0.583661i	$0.801620\pi$
$132$	4.13598	−	10.6699i	0.359991	−	0.928694i
$133$		0			0
$134$	5.06366	+	11.7478i	0.437434	+	1.01485i
$135$	−2.34799	−	20.5094i	−0.202083	−	1.76517i
$136$	−1.24990	+	1.04703i	−0.107178	+	0.0897822i
$137$	7.97118	+	4.60216i	0.681024	+	0.393189i	0.800241	−	0.599679i	$-0.204705\pi$
$137$	7.97118	+	4.60216i	0.681024	+	0.393189i	−0.119217	+	0.992868i	$0.538038\pi$
$138$	−9.39483	−	2.43062i	−0.799741	−	0.206908i
$139$		−	11.1056i		−	0.941960i	−0.882144	−	0.470980i	$-0.843900\pi$
$139$		−	11.1056i		−	0.941960i	0.882144	−	0.470980i	$-0.156100\pi$
$140$		0			0
$141$	14.5804	−	5.94333i	1.22789	−	0.500519i
$142$	−10.3848	−	7.73565i	−0.871474	−	0.649161i
$143$	−1.40495	+	2.43345i	−0.117488	+	0.203496i
$144$	11.4368	−	3.63328i	0.953063	−	0.302773i
$145$	6.71266	+	11.6267i	0.557456	+	0.965542i
$146$	−1.83665	+	0.791654i	−0.152002	+	0.0655177i
$147$		0			0
$148$	5.89167	−	6.23792i	0.484292	−	0.512754i
$149$	−5.81744	+	3.35870i	−0.476584	+	0.275156i	−0.718992	−	0.695019i	$-0.755396\pi$
$149$	−5.81744	+	3.35870i	−0.476584	+	0.275156i	0.242408	+	0.970174i	$0.422063\pi$
$150$	7.05633	+	25.4537i	0.576147	+	2.07829i
$151$	11.4426	+	6.60641i	0.931188	+	0.537622i	0.887187	−	0.461410i	$-0.152656\pi$
$151$	11.4426	+	6.60641i	0.931188	+	0.537622i	0.0440012	+	0.999031i	$0.485989\pi$
$152$	1.75565	+	10.0051i	0.142402	+	0.811522i
$153$	−1.20901	−	1.23658i	−0.0977425	−	0.0999718i
$154$		0			0
$155$	−19.4628			−1.56329
$156$	−2.91179	+	0.451399i	−0.233129	+	0.0361408i
$157$	−1.19412	+	2.06828i	−0.0953011	+	0.165066i	−0.909734	−	0.415191i	$-0.863715\pi$
$157$	−1.19412	+	2.06828i	−0.0953011	+	0.165066i	0.814433	+	0.580257i	$0.197048\pi$
$158$	9.73140	+	1.14015i	0.774188	+	0.0907057i
$159$	−0.646457	+	0.832716i	−0.0512673	+	0.0660387i
$160$	−20.0971	+	10.0585i	−1.58881	+	0.795196i
$161$		0			0
$162$	4.77323	+	11.7990i	0.375020	+	0.927017i
$163$	−15.8412	+	9.14590i	−1.24078	+	0.716362i	−0.969252	−	0.246069i	$-0.920861\pi$
$163$	−15.8412	+	9.14590i	−1.24078	+	0.716362i	−0.271524	+	0.962432i	$0.587528\pi$
$164$	−10.2627	+	3.06630i	−0.801384	+	0.239438i
$165$	−22.5199	−	3.09405i	−1.75317	−	0.240871i
$166$	−4.69394	−	3.49652i	−0.364321	−	0.271383i
$167$	−19.3650			−1.49851			−0.749253	−	0.662284i	$-0.769587\pi$
$167$	−19.3650			−1.49851			−0.749253	+	0.662284i	$0.769587\pi$
$168$		0			0
$169$	−12.2765			−0.944344
$170$	2.59742	+	1.93482i	0.199213	+	0.148394i
$171$	−10.4378	+	2.67105i	−0.798200	+	0.204260i
$172$	14.6887	−	4.38871i	1.12001	−	0.334636i
$173$	−4.83696	+	2.79262i	−0.367748	+	0.212319i	−0.672474	−	0.740121i	$-0.734768\pi$
$173$	−4.83696	+	2.79262i	−0.367748	+	0.212319i	0.304726	+	0.952440i	$0.401435\pi$
$174$	−5.90340	−	5.80236i	−0.447536	−	0.439876i
$175$		0			0
$176$	−0.753784	−	13.1922i	−0.0568186	−	0.994403i
$177$	10.7806	+	8.36921i	0.810318	+	0.629068i
$178$	8.08598	+	0.947373i	0.606070	+	0.0710086i
$179$	−9.68969	+	16.7830i	−0.724241	+	1.25442i	0.235044	+	0.971985i	$0.424477\pi$
$179$	−9.68969	+	16.7830i	−0.724241	+	1.25442i	−0.959286	+	0.282438i	$0.908857\pi$
$180$	−12.2731	−	20.4346i	−0.914780	−	1.52310i
$181$	−10.8735			−0.808222			−0.404111	−	0.914710i	$-0.632419\pi$
$181$	−10.8735			−0.808222			−0.404111	+	0.914710i	$0.632419\pi$
$182$		0			0
$183$	15.6323	−	6.37208i	1.15557	−	0.471038i
$184$	−11.0368	+	1.93668i	−0.813642	+	0.142774i
$185$	−14.7607	−	8.52212i	−1.08523	−	0.626559i
$186$	11.5639	−	3.20576i	0.847904	−	0.235058i
$187$	−1.64920	+	0.952164i	−0.120601	+	0.0696291i
$188$	12.4838	−	13.2175i	0.910477	−	0.963986i
$189$		0			0
$190$	18.5299	−	7.98697i	1.34430	−	0.579436i
$191$	0.616561	+	1.06792i	0.0446128	+	0.0772716i	0.887470	−	0.460866i	$-0.152461\pi$
$191$	0.616561	+	1.06792i	0.0446128	+	0.0772716i	−0.842857	+	0.538138i	$0.819128\pi$
$192$	10.2840	−	9.28654i	0.742182	−	0.670198i
$193$	−7.89167	+	13.6688i	−0.568055	+	0.983900i	0.428703	+	0.903445i	$0.358971\pi$
$193$	−7.89167	+	13.6688i	−0.568055	+	0.983900i	−0.996758	+	0.0804546i	$0.974363\pi$
$194$	15.3662	+	11.4463i	1.10323	+	0.821795i
$195$	2.20936	+	5.42010i	0.158216	+	0.388141i
$196$		0			0
$197$			17.3868i			1.23876i	0.785092	+	0.619379i	$0.212615\pi$
$197$			17.3868i			1.23876i	−0.785092	+	0.619379i	$0.787385\pi$
$198$	13.8899	−	1.87096i	0.987110	−	0.132964i
$199$	3.95565	+	2.28380i	0.280409	+	0.161894i	0.633608	−	0.773654i	$-0.281573\pi$
$199$	3.95565	+	2.28380i	0.280409	+	0.161894i	−0.353200	+	0.935548i	$0.614906\pi$
$200$	19.5857	+	23.3805i	1.38491	+	1.65325i
$201$	−9.60780	+	12.3760i	−0.677682	+	0.872939i
$202$	3.99654	+	9.27205i	0.281196	+	0.652379i
$203$		0			0
$204$	−1.86195	−	0.721750i	−0.130363	−	0.0505326i
$205$	10.6382	+	18.4260i	0.743007	+	1.28693i
$206$	−14.7607	−	1.72940i	−1.02843	−	0.120493i
$207$	−2.94647	−	11.5141i	−0.204794	−	0.800286i
$208$	−2.84472	+	1.86652i	−0.197246	+	0.129420i
$209$			11.8639i			0.820646i
$210$		0			0
$211$		−	1.11224i		−	0.0765696i	−0.999267	−	0.0382848i	$-0.987811\pi$
$211$		−	1.11224i		−	0.0765696i	0.999267	−	0.0382848i	$-0.0121894\pi$
$212$	−0.281376	+	1.18431i	−0.0193250	+	0.0813388i
$213$	2.15870	−	15.7120i	0.147912	−	1.07657i
$214$	−0.202931	+	1.73205i	−0.0138721	+	0.118401i
$215$	−15.2262	−	26.3726i	−1.03842	−	1.79859i
$216$	10.6579	+	10.1197i	0.725178	+	0.688561i
$217$		0			0
$218$	4.15967	−	1.79295i	0.281729	−	0.121434i
$219$	−1.93487	−	1.50209i	−0.130747	−	0.101502i
$220$	−25.1494	+	7.51416i	−1.69558	+	0.506605i
$221$	0.424650	+	0.245172i	0.0285651	+	0.0164920i
$222$	10.1738	+	2.63216i	0.682823	+	0.176659i
$223$		−	23.6328i		−	1.58257i	−0.611447	−	0.791285i	$-0.709412\pi$
$223$		−	23.6328i		−	1.58257i	0.611447	−	0.791285i	$-0.290588\pi$
$224$		0			0
$225$	−23.1314	+	22.6156i	−1.54209	+	1.50770i
$226$	16.8201	−	22.5804i	1.11886	−	1.50202i
$227$	6.14917	−	10.6507i	0.408135	−	0.706910i	−0.586546	−	0.809916i	$-0.699513\pi$
$227$	6.14917	−	10.6507i	0.408135	−	0.706910i	0.994681	+	0.103006i	$0.0328461\pi$
$228$	−9.69404	+	7.79759i	−0.642004	+	0.516408i
$229$	4.51474	+	7.81976i	0.298342	+	0.516744i	0.975757	−	0.218857i	$-0.0702329\pi$
$229$	4.51474	+	7.81976i	0.298342	+	0.516744i	−0.677414	+	0.735602i	$0.736900\pi$
$230$	8.81054	+	20.4406i	0.580950	+	1.34781i
$231$		0			0
$232$	−8.97895	−	3.27647i	−0.589497	−	0.215111i
$233$	−6.55912	+	3.78691i	−0.429703	+	0.248089i	−0.699220	−	0.714907i	$-0.746469\pi$
$233$	−6.55912	+	3.78691i	−0.429703	+	0.248089i	0.269517	+	0.962996i	$0.413136\pi$
$234$	−2.20546	−	2.85646i	−0.144175	−	0.186732i
$235$	−31.2765	−	18.0575i	−2.04025	−	1.17794i
$236$	15.3324	+	3.64277i	0.998055	+	0.237124i
$237$	4.52963	+	11.1123i	0.294231	+	0.721819i
$238$		0			0
$239$	9.25206			0.598466			0.299233	−	0.954180i	$-0.403269\pi$
$239$	9.25206			0.598466			0.299233	+	0.954180i	$0.403269\pi$
$240$	−22.6693	−	15.6110i	−1.46330	−	1.00768i
$241$	7.83018	−	13.5623i	0.504386	−	0.873623i	−0.495601	−	0.868550i	$-0.665052\pi$
$241$	7.83018	−	13.5623i	0.504386	−	0.873623i	0.999987	−	0.00507224i	$-0.00161455\pi$
$242$	−0.0143625	+	0.122586i	−0.000923254	+	0.00788012i
$243$	−9.83443	+	12.0948i	−0.630879	+	0.775881i
$244$	13.3844	−	14.1710i	0.856850	−	0.907207i
$245$		0			0
$246$	−9.35572	−	9.19559i	−0.596499	−	0.586290i
$247$	2.64557	−	1.52742i	0.168333	−	0.0971873i
$248$	10.6220	−	8.89796i	0.674496	−	0.565021i
$249$	0.975735	−	7.10184i	0.0618347	−	0.450061i
$250$	19.4108	−	26.0583i	1.22765	−	1.64807i
$251$	−3.08987			−0.195031			−0.0975155	−	0.995234i	$-0.531090\pi$
$251$	−3.08987			−0.195031			−0.0975155	+	0.995234i	$0.531090\pi$
$252$		0			0
$253$	−13.0873			−0.822790
$254$	−13.8911	+	18.6482i	−0.871603	+	1.17009i
$255$	−0.539928	+	3.92983i	−0.0338116	+	0.246096i
$256$	6.36962	−	14.6775i	0.398101	−	0.917341i
$257$	−6.38190	+	3.68459i	−0.398092	+	0.229839i	−0.685660	−	0.727922i	$-0.740486\pi$
$257$	−6.38190	+	3.68459i	−0.398092	+	0.229839i	0.287568	+	0.957760i	$0.407153\pi$
$258$	13.3906	+	13.1614i	0.833661	+	0.819392i
$259$		0			0
$260$	4.91346	+	4.64072i	0.304720	+	0.287805i
$261$	2.73411	−	9.76222i	0.169237	−	0.604266i
$262$	−0.374703	+	3.19815i	−0.0231492	+	0.197583i
$263$	11.1017	−	19.2288i	0.684563	−	1.18570i	−0.289011	−	0.957326i	$-0.593327\pi$
$263$	11.1017	−	19.2288i	0.684563	−	1.18570i	0.973574	−	0.228372i	$-0.0733401\pi$
$264$	13.7049	−	8.60698i	0.843480	−	0.529723i
$265$	2.41801			0.148537
$266$		0			0
$267$	3.76375	+	9.23337i	0.230338	+	0.565073i
$268$	−4.18188	+	17.6015i	−0.255449	+	1.07518i
$269$	8.67226	+	5.00693i	0.528757	+	0.305278i	0.740510	−	0.672045i	$-0.234584\pi$
$269$	8.67226	+	5.00693i	0.528757	+	0.305278i	−0.211753	+	0.977323i	$0.567917\pi$
$270$	14.6639	−	25.2442i	0.892415	−	1.53632i
$271$	20.4250	−	11.7924i	1.24073	−	0.716335i	0.271486	−	0.962442i	$-0.412485\pi$
$271$	20.4250	−	11.7924i	1.24073	−	0.716335i	0.969243	+	0.246107i	$0.0791516\pi$
$272$	−2.30212	+	0.131539i	−0.139586	+	0.00797574i
$273$		0			0
$274$	5.15243	+	11.9537i	0.311270	+	0.722151i
$275$	17.8111	+	30.8497i	1.07405	+	1.86031i
$276$	−8.60162	−	10.6936i	−0.517757	−	0.643681i
$277$	−14.5299	+	25.1665i	−0.873018	+	1.51211i	−0.0141582	+	0.999900i	$0.504507\pi$
$277$	−14.5299	+	25.1665i	−0.873018	+	1.51211i	−0.858860	+	0.512211i	$0.828826\pi$
$278$	9.38221	−	12.5953i	0.562708	−	0.755413i
$279$	10.2745	+	10.5088i	0.615117	+	0.629146i
$280$		0			0
$281$		−	23.2889i		−	1.38930i	−0.719347	−	0.694651i	$-0.755559\pi$
$281$		−	23.2889i		−	1.38930i	0.719347	−	0.694651i	$-0.244441\pi$
$282$	21.5573	+	5.57728i	1.28372	+	0.332122i
$283$	−15.0916	−	8.71312i	−0.897101	−	0.517941i	−0.0208421	−	0.999783i	$-0.506635\pi$
$283$	−15.0916	−	8.71312i	−0.897101	−	0.517941i	−0.876258	+	0.481842i	$0.839968\pi$
$284$	−5.24259	−	17.5466i	−0.311090	−	1.04120i
$285$	19.5209	+	15.1545i	1.15632	+	0.897675i
$286$	−3.64925	+	1.57294i	−0.215785	+	0.0930100i
$287$		0			0
$288$	16.0404	+	5.54137i	0.945187	+	0.326529i
$289$	−8.33384	−	14.4346i	−0.490226	−	0.849096i
$290$	−2.20936	+	18.8573i	−0.129738	+	1.10734i
$291$	−3.19419	+	23.2487i	−0.187247	+	1.36286i
$292$	−2.75183	−	0.653796i	−0.161038	−	0.0382605i
$293$		−	1.20747i		−	0.0705412i	−0.999378	−	0.0352706i	$-0.988771\pi$
$293$		−	1.20747i		−	0.0705412i	0.999378	−	0.0352706i	$-0.0112293\pi$
$294$		0			0
$295$		−	31.3043i		−	1.82261i
$296$	11.9519	−	2.09727i	0.694691	−	0.121901i
$297$	10.2177	+	13.7928i	0.592891	+	0.800341i
$298$	−9.43531	−	1.10546i	−0.546573	−	0.0640377i
$299$	1.68492	+	2.91836i	0.0974412	+	0.168773i
$300$	−13.5010	+	34.8294i	−0.779479	+	2.01088i
$301$		0			0
$302$	7.39632	+	17.1596i	0.425610	+	0.987423i
$303$	−7.58305	+	9.76791i	−0.435635	+	0.561152i
$304$	−6.46138	+	12.8304i	−0.370586	+	0.735875i
$305$	−33.5328	−	19.3602i	−1.92008	−	1.10856i
$306$	−0.326493	−	2.42385i	−0.0186643	−	0.138563i
$307$			34.0275i			1.94205i	0.238973	+	0.971026i	$0.423189\pi$
$307$			34.0275i			1.94205i	−0.238973	+	0.971026i	$0.576811\pi$
$308$		0			0
$309$	−6.87062	−	16.8553i	−0.390856	−	0.958863i
$310$	−22.0735	−	16.4426i	−1.25369	−	0.933877i
$311$	−13.3558	+	23.1329i	−0.757337	+	1.31175i	0.186867	+	0.982385i	$0.440167\pi$
$311$	−13.3558	+	23.1329i	−0.757337	+	1.31175i	−0.944204	+	0.329361i	$0.893167\pi$
$312$	−3.68373	−	1.94799i	−0.208550	−	0.110283i
$313$	4.66276	+	8.07614i	0.263555	+	0.456490i	0.967184	−	0.254077i	$-0.0817717\pi$
$313$	4.66276	+	8.07614i	0.263555	+	0.456490i	−0.703629	+	0.710567i	$0.748438\pi$
$314$	−3.10162	+	1.33690i	−0.175035	+	0.0754455i
$315$		0			0
$316$	10.0735	+	9.51439i	0.566681	+	0.535226i
$317$	−23.3767	+	13.4966i	−1.31297	+	0.758043i	−0.982587	−	0.185805i	$-0.940511\pi$
$317$	−23.3767	+	13.4966i	−1.31297	+	0.758043i	−0.330382	+	0.943847i	$0.607178\pi$
$318$	−1.43667	+	0.398277i	−0.0805645	+	0.0223343i
$319$	−9.66769	−	5.58164i	−0.541286	−	0.312512i
$320$	−31.2906	−	5.57069i	−1.74920	−	0.311411i
$321$	−1.97783	+	0.806210i	−0.110392	+	0.0449982i
$322$		0			0
$323$	2.07032			0.115196
$324$	−4.55454	+	17.4143i	−0.253030	+	0.967458i
$325$	4.58616	−	7.94346i	0.254394	−	0.440624i
$326$	−25.6928	−	3.01023i	−1.42299	−	0.166721i
$327$	4.38213	+	3.40195i	0.242332	+	0.188128i
$328$	−14.2299	−	5.19256i	−0.785712	−	0.286711i
$329$		0			0
$330$	−22.9268	−	22.5344i	−1.26208	−	1.24048i
$331$	12.6382	−	7.29669i	0.694660	−	0.401062i	−0.110695	−	0.993854i	$-0.535308\pi$
$331$	12.6382	−	7.29669i	0.694660	−	0.401062i	0.805356	+	0.592792i	$0.201974\pi$
$332$	−2.36966	−	7.93109i	−0.130052	−	0.435275i
$333$	3.19078	+	12.4688i	0.174854	+	0.683288i
$334$	−21.9626	−	16.3600i	−1.20174	−	0.895177i
$335$	35.9372			1.96346
$336$		0			0
$337$	31.6823			1.72585			0.862924	−	0.505335i	$-0.168631\pi$
$337$	31.6823			1.72585			0.862924	+	0.505335i	$0.168631\pi$
$338$	−13.9233	−	10.3714i	−0.757325	−	0.564132i
$339$	34.1636	+	4.69380i	1.85551	+	0.254932i
$340$	1.31126	+	4.38871i	0.0711131	+	0.238011i
$341$	14.0153	−	8.09175i	0.758972	−	0.438193i
$342$	−14.0945	−	5.78876i	−0.762144	−	0.313020i
$343$		0			0
$344$	20.3668	+	7.43196i	1.09810	+	0.400704i
$345$	−16.7171	+	21.5338i	−0.900021	+	1.15934i
$346$	−7.84507	−	0.919147i	−0.421753	−	0.0494136i
$347$	1.07687	−	1.86519i	0.0578092	−	0.100128i	−0.835673	−	0.549228i	$-0.814922\pi$
$347$	1.07687	−	1.86519i	0.0578092	−	0.100128i	0.893482	+	0.449100i	$0.148255\pi$
$348$	−1.79333	−	11.5680i	−0.0961325	−	0.620111i
$349$	−33.0517			−1.76922			−0.884608	−	0.466335i	$-0.845574\pi$
$349$	−33.0517			−1.76922			−0.884608	+	0.466335i	$0.845574\pi$
$350$		0			0
$351$	1.76022	−	4.05422i	0.0939535	−	0.216398i
$352$	10.2902	−	15.5987i	0.548470	−	0.831413i
$353$	13.5161	+	7.80351i	0.719388	+	0.415339i	0.814528	−	0.580125i	$-0.196996\pi$
$353$	13.5161	+	7.80351i	0.719388	+	0.415339i	−0.0951392	+	0.995464i	$0.530330\pi$
$354$	5.15620	+	18.5995i	0.274049	+	0.988554i
$355$	−31.5037	+	18.1887i	−1.67204	+	0.965354i
$356$	8.37028	+	7.90567i	0.443624	+	0.419000i
$357$		0			0
$358$	−25.1681	+	10.8483i	−1.33018	+	0.573348i
$359$	−16.8237	−	29.1394i	−0.887919	−	1.53792i	−0.842331	−	0.538961i	$-0.818817\pi$
$359$	−16.8237	−	29.1394i	−0.887919	−	1.53792i	−0.0455885	−	0.998960i	$-0.514516\pi$
$360$	3.34422	−	33.5443i	0.176256	−	1.76794i
$361$	−3.05096	+	5.28443i	−0.160577	+	0.278128i
$362$	−12.3321	−	9.18619i	−0.648161	−	0.482815i
$363$	−0.139981	+	0.0570595i	−0.00734708	+	0.00299485i
$364$		0			0
$365$			5.61842i			0.294082i
$366$	23.1125	+	5.97963i	1.20811	+	0.312560i
$367$	−6.79444	−	3.92277i	−0.354667	−	0.204767i	0.312072	−	0.950059i	$-0.398977\pi$
$367$	−6.79444	−	3.92277i	−0.354667	−	0.204767i	−0.666739	+	0.745291i	$0.732310\pi$
$368$	−14.1534	−	7.12764i	−0.737797	−	0.371554i
$369$	4.33303	−	15.4712i	0.225568	−	0.805398i
$370$	−9.54109	−	22.1355i	−0.496018	−	1.15077i
$371$		0			0
$372$	15.8234	+	6.13363i	0.820403	+	0.318014i
$373$	−0.493136	−	0.854137i	−0.0255336	−	0.0442256i	0.852976	−	0.521950i	$-0.174795\pi$
$373$	−0.493136	−	0.854137i	−0.0255336	−	0.0442256i	−0.878510	+	0.477724i	$0.841462\pi$
$374$	−2.67483	−	0.313389i	−0.138312	−	0.0162050i
$375$	39.4256	+	5.41676i	2.03593	+	0.279720i
$376$	25.3249	−	4.44389i	1.30603	−	0.229176i
$377$			2.87443i			0.148040i
$378$		0			0
$379$			18.8285i			0.967153i	0.875302	+	0.483576i	$0.160663\pi$
$379$			18.8285i			0.967153i	−0.875302	+	0.483576i	$0.839337\pi$
$380$	27.7631	+	6.59612i	1.42422	+	0.338374i
$381$	−28.2144	−	3.87643i	−1.44547	−	0.198595i
$382$	−0.202931	+	1.73205i	−0.0103829	+	0.0886194i
$383$	−1.81144	−	3.13750i	−0.0925602	−	0.160319i	0.816028	−	0.578013i	$-0.196172\pi$
$383$	−1.81144	−	3.13750i	−0.0925602	−	0.160319i	−0.908588	+	0.417694i	$0.862838\pi$
$384$	19.5090	−	1.84411i	0.995562	−	0.0941067i
$385$		0			0
$386$	−20.4979	+	8.83526i	−1.04332	+	0.449703i
$387$	−6.20174	+	22.1435i	−0.315252	+	1.12562i
$388$	7.75735	+	25.9634i	0.393820	+	1.31809i
$389$	12.6579	+	7.30807i	0.641783	+	0.370534i	0.785301	−	0.619114i	$-0.212508\pi$
$389$	12.6579	+	7.30807i	0.641783	+	0.370534i	−0.143518	+	0.989648i	$0.545841\pi$
$390$	−2.07329	+	8.01368i	−0.104985	+	0.405788i
$391$			2.28380i			0.115497i
$392$		0			0
$393$	−3.65197	+	1.48863i	−0.184217	+	0.0750914i
$394$	−14.6887	+	19.7191i	−0.740008	+	0.993432i
$395$	13.7623	−	23.8370i	0.692455	−	1.19937i
$396$	17.3337	+	9.61254i	0.871051	+	0.483048i
$397$	−3.04852	−	5.28019i	−0.153001	−	0.265005i	0.779328	−	0.626616i	$-0.215560\pi$
$397$	−3.04852	−	5.28019i	−0.153001	−	0.265005i	−0.932329	+	0.361610i	$0.882227\pi$
$398$	2.55687	+	5.93197i	0.128164	+	0.297343i
$399$		0			0
$400$	2.46056	+	43.0631i	0.123028	+	2.15316i
$401$	6.31340	−	3.64505i	0.315276	−	0.182025i	−0.334009	−	0.942570i	$-0.608402\pi$
$401$	6.31340	−	3.64505i	0.315276	−	0.182025i	0.649285	+	0.760545i	$0.275068\pi$
$402$	−21.3522	+	5.91929i	−1.06495	+	0.295227i
$403$	−3.60879	−	2.08354i	−0.179767	−	0.103788i
$404$	−3.30059	+	13.8922i	−0.164210	+	0.691162i
$405$	35.7463	+	0.806210i	1.77625	+	0.0400609i
$406$		0			0
$407$	14.1724			0.702502
$408$	−1.50196	−	2.39158i	−0.0743583	−	0.118401i
$409$	−10.0950	+	17.4850i	−0.499165	+	0.864580i	−1.00000		0.000963491i	$-0.999693\pi$
$409$	−10.0950	+	17.4850i	−0.499165	+	0.864580i	0.500834	+	0.865543i	$0.333027\pi$
$410$	−3.50140	+	29.8851i	−0.172922	+	1.47592i
$411$	−9.77624	+	12.5930i	−0.482226	+	0.621167i
$412$	−15.2797	−	14.4316i	−0.752778	−	0.710993i
$413$		0			0
$414$	6.38566	−	15.5479i	0.313838	−	0.764135i
$415$	−14.2397	+	8.22130i	−0.699000	+	0.403568i
$416$	−4.80319	−	0.286389i	−0.235496	−	0.0140414i
$417$	19.0564	+	2.61819i	0.933194	+	0.128213i
$418$	−10.0229	+	13.4554i	−0.490237	+	0.658124i
$419$	−1.32886			−0.0649189			−0.0324594	−	0.999473i	$-0.510334\pi$
$419$	−1.32886			−0.0649189			−0.0324594	+	0.999473i	$0.510334\pi$
$420$		0			0
$421$	−7.31859			−0.356686			−0.178343	−	0.983968i	$-0.557074\pi$
$421$	−7.31859			−0.356686			−0.178343	+	0.983968i	$0.557074\pi$
$422$	0.939643	−	1.26143i	0.0457411	−	0.0614057i
$423$	6.76093	+	26.4202i	0.328728	+	1.28459i
$424$	−1.31965	+	1.10546i	−0.0640879	+	0.0536860i
$425$	5.38343	−	3.10812i	0.261135	−	0.150766i
$426$	15.7221	−	15.9959i	0.761739	−	0.775004i
$427$		0			0
$428$	−1.69343	+	1.79295i	−0.0818549	+	0.0866655i
$429$	−3.84441	−	2.98450i	−0.185610	−	0.144093i
$430$	5.01146	−	42.7736i	0.241674	−	2.06273i
$431$	−0.0894647	+	0.154957i	−0.00430936	+	0.00746403i	−0.868172	−	0.496263i	$-0.834705\pi$
$431$	−0.0894647	+	0.154957i	−0.00430936	+	0.00746403i	0.863863	+	0.503727i	$0.168038\pi$
$432$	3.53818	+	20.4812i	0.170231	+	0.985404i
$433$	−15.2499			−0.732866			−0.366433	−	0.930444i	$-0.619421\pi$
$433$	−15.2499			−0.732866			−0.366433	+	0.930444i	$0.619421\pi$
$434$		0			0
$435$	−21.5331	+	8.77742i	−1.03243	+	0.420845i
$436$	6.23238	+	1.48073i	0.298477	+	0.0709139i
$437$	12.3218	+	7.11402i	0.589434	+	0.340310i
$438$	−0.925424	−	3.33820i	−0.0442185	−	0.159505i
$439$	25.8988	−	14.9527i	1.23608	−	0.713654i	0.267793	−	0.963476i	$-0.413706\pi$
$439$	25.8988	−	14.9527i	1.23608	−	0.713654i	0.968292	+	0.249823i	$0.0803723\pi$
$440$	−34.8711	−	12.7247i	−1.66242	−	0.606626i
$441$		0			0
$442$	0.274487	+	0.636813i	0.0130560	+	0.0302901i
$443$	−2.50795	−	4.34390i	−0.119156	−	0.206385i	0.800277	−	0.599630i	$-0.204686\pi$
$443$	−2.50795	−	4.34390i	−0.119156	−	0.206385i	−0.919434	+	0.393245i	$0.871352\pi$
$444$	9.31485	+	11.5803i	0.442063	+	0.549578i
$445$	11.4353	−	19.8065i	0.542086	−	0.938920i
$446$	19.9655	−	26.8029i	0.945395	−	1.26916i
$447$	−4.39181	−	10.7742i	−0.207725	−	0.509601i
$448$		0			0
$449$			14.4978i			0.684195i	0.939664	+	0.342098i	$0.111137\pi$
$449$			14.4978i			0.684195i	−0.939664	+	0.342098i	$0.888863\pi$
$450$	−45.3404	+	6.10734i	−2.13737	+	0.287903i
$451$	−15.3214	−	8.84580i	−0.721455	−	0.416532i
$452$	38.1528	−	11.3993i	1.79456	−	0.536178i
$453$	−14.0338	+	18.0773i	−0.659366	+	0.849345i
$454$	15.9719	−	6.88441i	0.749600	−	0.323101i
$455$		0			0
$456$	−17.5820	+	0.653820i	−0.823352	+	0.0306179i
$457$	9.92844	+	17.1966i	0.464433	+	0.804422i	0.999176	−	0.0405933i	$-0.0129248\pi$
$457$	9.92844	+	17.1966i	0.464433	+	0.804422i	−0.534743	+	0.845015i	$0.679591\pi$
$458$	−1.48595	+	12.6829i	−0.0694341	+	0.592631i
$459$	2.40692	−	1.78304i	0.112345	−	0.0832253i
$460$	−7.27627	+	30.6259i	−0.339258	+	1.42794i
$461$			17.3910i			0.809978i	0.914322	+	0.404989i	$0.132725\pi$
$461$			17.3910i			0.809978i	−0.914322	+	0.404989i	$0.867275\pi$
$462$		0			0
$463$			15.3304i			0.712462i	0.934398	+	0.356231i	$0.115938\pi$
$463$			15.3304i			0.712462i	−0.934398	+	0.356231i	$0.884062\pi$
$464$	−7.41536	−	11.3016i	−0.344249	−	0.524663i
$465$	4.58845	−	33.3968i	0.212784	−	1.54874i
$466$	−10.6382	−	1.24640i	−0.492807	−	0.0577384i
$467$	10.5410	+	18.2575i	0.487778	+	0.844857i	0.999901	−	0.0140554i	$-0.00447412\pi$
$467$	10.5410	+	18.2575i	0.487778	+	0.844857i	−0.512123	+	0.858912i	$0.671141\pi$
$468$	−0.0881005	−	5.10284i	−0.00407245	−	0.235879i
$469$		0			0
$470$	−20.2166	−	46.9028i	−0.932521	−	2.16346i
$471$	−3.26750	−	2.53663i	−0.150558	−	0.116882i
$472$	14.3116	+	17.0846i	0.658746	+	0.786381i
$473$	21.9290	+	12.6607i	1.00830	+	0.582141i
$474$	−4.25065	+	16.4296i	−0.195239	+	0.754637i
$475$		−	38.7272i		−	1.77692i
$476$		0			0
$477$	−1.27648	−	1.30559i	−0.0584459	−	0.0597790i
$478$	10.4931	+	7.81634i	0.479945	+	0.357511i
$479$	3.79982	−	6.58149i	0.173618	−	0.300716i	−0.766064	−	0.642764i	$-0.777787\pi$
$479$	3.79982	−	6.58149i	0.173618	−	0.300716i	0.939682	+	0.342049i	$0.111121\pi$
$480$	−12.5217	−	36.8566i	−0.571536	−	1.68226i
$481$	−1.82463	−	3.16034i	−0.0831958	−	0.144099i
$482$	20.3382	−	8.76642i	0.926381	−	0.399299i
$483$		0			0
$484$	−0.119852	+	0.126896i	−0.00544784	+	0.00576800i
$485$	46.6154	−	26.9134i	2.11670	−	1.22207i
$486$	−21.3716	+	5.40885i	−0.969434	+	0.245350i
$487$	13.3691	+	7.71865i	0.605811	+	0.349765i	0.771324	−	0.636442i	$-0.219595\pi$
$487$	13.3691	+	7.71865i	0.605811	+	0.349765i	−0.165513	+	0.986208i	$0.552928\pi$
$488$	27.1518	−	4.76448i	1.22911	−	0.215678i
$489$	−11.9591	−	29.3386i	−0.540809	−	1.32674i
$490$		0			0
$491$	−40.5166			−1.82849			−0.914243	−	0.405165i	$-0.867214\pi$
$491$	−40.5166			−1.82849			−0.914243	+	0.405165i	$0.867214\pi$
$492$	−2.84207	−	18.3330i	−0.128130	−	0.826516i
$493$	−0.974025	+	1.68706i	−0.0438679	+	0.0759814i
$494$	4.29084	+	0.502725i	0.193054	+	0.0226187i
$495$	10.6184	−	37.9131i	0.477259	−	1.70407i
$496$	19.5640	−	1.11786i	0.878450	−	0.0501932i
$497$		0			0
$498$	7.10641	−	7.23016i	0.318446	−	0.323991i
$499$	26.2986	−	15.1835i	1.17729	−	0.679707i	0.221902	−	0.975069i	$-0.428774\pi$
$499$	26.2986	−	15.1835i	1.17729	−	0.679707i	0.955385	+	0.295362i	$0.0954403\pi$
$500$	44.0292	−	13.1551i	1.96904	−	0.588312i
$501$	4.56539	−	33.2290i	0.203967	−	1.48456i
$502$	−3.50435	−	2.61039i	−0.156407	−	0.116507i
$503$	−13.8974			−0.619652			−0.309826	−	0.950793i	$-0.600271\pi$
$503$	−13.8974			−0.619652			−0.309826	+	0.950793i	$0.600271\pi$
$504$		0			0
$505$	28.3638			1.26217
$506$	−14.8428	−	11.0564i	−0.659844	−	0.491518i
$507$	2.89424	−	21.0656i	0.128538	−	0.935556i
$508$	−31.5089	+	9.41423i	−1.39798	+	0.417689i
$509$	−25.6830	+	14.8281i	−1.13838	+	0.657243i	−0.946029	−	0.324083i	$-0.894944\pi$
$509$	−25.6830	+	14.8281i	−1.13838	+	0.657243i	−0.192350	+	0.981326i	$0.561611\pi$
$510$	−3.93237	+	4.00084i	−0.174128	+	0.177160i
$511$		0			0
$512$	19.6239	−	11.2651i	0.867262	−	0.497853i
$513$	−2.12256	−	18.5403i	−0.0937133	−	0.818574i
$514$	−10.3508	−	1.21272i	−0.456554	−	0.0534909i
$515$	−20.8748	+	36.1563i	−0.919855	+	1.59324i
$516$	4.06777	+	26.2395i	0.179074	+	1.15513i
$517$	30.0299			1.32071
$518$		0			0
$519$	−3.65161	−	8.95827i	−0.160288	−	0.393225i
$520$	1.65197	+	9.41423i	0.0724435	+	0.412841i
$521$	−29.0727	−	16.7851i	−1.27370	−	0.735369i	−0.298015	−	0.954561i	$-0.596325\pi$
$521$	−29.0727	−	16.7851i	−1.27370	−	0.735369i	−0.975682	+	0.219192i	$0.929658\pi$
$522$	11.3482	−	8.76189i	0.496698	−	0.383498i
$523$	−8.82946	+	5.09769i	−0.386085	+	0.222906i	−0.680463	−	0.732783i	$-0.738221\pi$
$523$	−8.82946	+	5.09769i	−0.386085	+	0.222906i	0.294377	+	0.955689i	$0.404888\pi$
$524$	−3.12684	+	3.31060i	−0.136596	+	0.144624i
$525$		0			0
$526$	28.8358	−	12.4291i	1.25730	−	0.541937i
$527$	−1.41205	−	2.44575i	−0.0615099	−	0.106538i
$528$	22.8147	+	1.81670i	0.992882	+	0.0790617i
$529$	3.65243	−	6.32620i	0.158801	−	0.275052i
$530$	2.74237	+	2.04279i	0.119121	+	0.0887332i
$531$	−16.9026	+	16.5256i	−0.733509	+	0.717152i
$532$		0			0
$533$			4.55539i			0.197316i
$534$	−3.53194	+	13.6516i	−0.152842	+	0.590764i
$535$	4.24264	+	2.44949i	0.183425	+	0.105901i
$536$	−19.6130	+	16.4297i	−0.847152	+	0.709654i
$537$	−26.5141	−	20.5835i	−1.14417	−	0.888245i
$538$	5.60560	+	13.0051i	0.241675	+	0.560689i
$539$		0			0
$540$	37.9578	−	16.2422i	1.63344	−	0.698951i
$541$	−5.15243	−	8.92427i	−0.221520	−	0.383684i	0.733750	−	0.679420i	$-0.237769\pi$
$541$	−5.15243	−	8.92427i	−0.221520	−	0.383684i	−0.955270	+	0.295736i	$0.904435\pi$
$542$	33.1272	+	3.88127i	1.42294	+	0.166715i
$543$	2.56349	−	18.6582i	0.110010	−	0.800700i
$544$	−2.72205	−	1.79569i	−0.116707	−	0.0769898i
$545$		−	12.7247i		−	0.545066i
$546$		0			0
$547$		−	5.44070i		−	0.232628i	−0.993213	−	0.116314i	$-0.962892\pi$
$547$		−	5.44070i		−	0.232628i	0.993213	−	0.116314i	$-0.0371078\pi$
$548$	−4.25519	+	17.9101i	−0.181773	+	0.765081i
$549$	7.24867	+	28.3261i	0.309366	+	1.20893i
$550$	−5.86223	+	50.0351i	−0.249966	+	2.13350i
$551$	6.06817	+	10.5104i	0.258513	+	0.447757i
$552$	−0.721238	−	19.3949i	−0.0306979	−	0.825503i
$553$		0			0
$554$	−37.7402	+	16.2672i	−1.60343	+	0.691128i
$555$	18.1033	−	23.3193i	0.768442	−	0.989848i
$556$	21.2815	−	6.35850i	0.902537	−	0.269660i
$557$	−3.84264	−	2.21855i	−0.162818	−	0.0940030i	0.416377	−	0.909192i	$-0.363300\pi$
$557$	−3.84264	−	2.21855i	−0.162818	−	0.0940030i	−0.579195	+	0.815189i	$0.696633\pi$
$558$	2.77462	+	20.5986i	0.117459	+	0.872007i
$559$		−	6.52001i		−	0.275767i
$560$		0			0
$561$	−1.24504	−	3.05438i	−0.0525657	−	0.128956i
$562$	19.6750	−	26.4129i	0.829940	−	1.11416i
$563$	−19.5639	+	33.8857i	−0.824522	+	1.42811i	0.0777627	+	0.996972i	$0.475222\pi$
$563$	−19.5639	+	33.8857i	−0.824522	+	1.42811i	−0.902284	+	0.431141i	$0.858111\pi$
$564$	19.7372	+	24.5375i	0.831086	+	1.03322i
$565$	−39.5488	−	68.5005i	−1.66383	−	2.88184i
$566$	−9.75493	−	22.6316i	−0.410030	−	0.951277i
$567$		0			0
$568$	8.87794	−	24.3294i	0.372510	−	1.02084i
$569$	38.4653	−	22.2079i	1.61255	−	0.931005i	0.623771	−	0.781607i	$-0.285600\pi$
$569$	38.4653	−	22.2079i	1.61255	−	0.931005i	0.988777	−	0.149398i	$-0.0477336\pi$
$570$	9.33657	+	33.6790i	0.391066	+	1.41066i
$571$	2.15883	+	1.24640i	0.0903442	+	0.0521603i	0.544491	−	0.838766i	$-0.316723\pi$
$571$	2.15883	+	1.24640i	0.0903442	+	0.0521603i	−0.454147	+	0.890927i	$0.650056\pi$
$572$	−5.46762	−	1.29903i	−0.228613	−	0.0543152i
$573$	−1.97783	+	0.806210i	−0.0826249	+	0.0336799i
$574$		0			0
$575$	42.7205			1.78157
$576$	13.5106	+	19.8360i	0.562940	+	0.826498i
$577$	−18.2933	+	31.6849i	−0.761560	+	1.31906i	0.180487	+	0.983577i	$0.442233\pi$
$577$	−18.2933	+	31.6849i	−0.761560	+	1.31906i	−0.942046	+	0.335482i	$0.891101\pi$
$578$	2.74295	−	23.4115i	0.114092	−	0.973791i
$579$	−21.5942	−	16.7640i	−0.897423	−	0.696690i
$580$	−18.4368	+	19.5203i	−0.765546	+	0.810536i
$581$		0			0
$582$	−23.2637	+	23.6688i	−0.964311	+	0.981103i
$583$	−1.74123	+	1.00530i	−0.0721145	+	0.0416353i
$584$	−2.56862	−	3.06630i	−0.106290	−	0.126884i
$585$	−9.82139	+	2.51330i	−0.406064	+	0.103912i
$586$	1.02010	−	1.36944i	0.0421398	−	0.0565711i
$587$	−36.8412			−1.52060			−0.760299	−	0.649573i	$-0.774948\pi$
$587$	−36.8412			−1.52060			−0.760299	+	0.649573i	$0.774948\pi$
$588$		0			0
$589$	−17.5941			−0.724954
$590$	26.4466	−	35.5035i	1.08879	−	1.46166i
$591$	−29.8345	−	4.09902i	−1.22723	−	0.168611i
$592$	15.3270	+	7.71865i	0.629935	+	0.317234i
$593$	14.9125	−	8.60972i	0.612382	−	0.353559i	−0.161515	−	0.986870i	$-0.551638\pi$
$593$	14.9125	−	8.60972i	0.612382	−	0.353559i	0.773897	+	0.633311i	$0.218305\pi$
$594$	−0.0641660	+	24.2752i	−0.00263276	+	0.996022i
$595$		0			0
$596$	−9.76705	−	9.22491i	−0.400074	−	0.377867i
$597$	−4.85140	+	6.24921i	−0.198555	+	0.255763i
$598$	−0.554563	+	4.73329i	−0.0226778	+	0.193558i
$599$	9.51076	−	16.4731i	0.388599	−	0.673073i	−0.603662	−	0.797240i	$-0.706292\pi$
$599$	9.51076	−	16.4731i	0.388599	−	0.673073i	0.992261	+	0.124167i	$0.0396258\pi$
$600$	−44.7367	+	28.0956i	−1.82637	+	1.14700i
$601$	7.95144			0.324346			0.162173	−	0.986762i	$-0.448150\pi$
$601$	7.95144			0.324346			0.162173	+	0.986762i	$0.448150\pi$
$602$		0			0
$603$	−18.9713	−	19.4040i	−0.772573	−	0.790194i
$604$	−6.10833	+	25.7100i	−0.248544	+	1.04612i
$605$	0.300273	+	0.173363i	0.0122078	+	0.00704820i
$606$	−16.8524	+	4.67186i	−0.684582	+	0.189781i
$607$	20.5976	−	11.8920i	0.836030	−	0.482682i	−0.0198827	−	0.999802i	$-0.506329\pi$
$607$	20.5976	−	11.8920i	0.836030	−	0.482682i	0.855913	+	0.517120i	$0.172996\pi$
$608$	−18.1675	+	9.09279i	−0.736791	+	0.368761i
$609$		0			0
$610$	−21.6750	−	50.2864i	−0.877596	−	2.03604i
$611$	−3.86619	−	6.69644i	−0.156409	−	0.270909i
$612$	1.67744	−	3.02482i	0.0678064	−	0.122271i
$613$	14.8779	−	25.7694i	0.600914	−	1.04081i	−0.391768	−	0.920064i	$-0.628137\pi$
$613$	14.8779	−	25.7694i	0.600914	−	1.04081i	0.992683	−	0.120751i	$-0.0385301\pi$
$614$	−28.7472	+	38.5920i	−1.16014	+	1.55745i
$615$	−34.1257	+	13.9105i	−1.37608	+	0.560924i
$616$		0			0
$617$			28.7008i			1.15545i	0.816232	+	0.577724i	$0.196059\pi$
$617$			28.7008i			1.15545i	−0.816232	+	0.577724i	$0.803941\pi$
$618$	6.44746	−	24.9207i	0.259355	−	1.00246i
$619$	19.9082	+	11.4940i	0.800177	+	0.461983i	0.843533	−	0.537077i	$-0.180472\pi$
$619$	19.9082	+	11.4940i	0.800177	+	0.461983i	−0.0433558	+	0.999060i	$0.513805\pi$
$620$	−11.1434	−	37.2964i	−0.447532	−	1.49786i
$621$	20.4521	−	2.34142i	0.820713	−	0.0939581i
$622$	−34.6905	+	14.9527i	−1.39096	+	0.599549i
$623$		0			0
$624$	−2.53216	−	5.32139i	−0.101368	−	0.213026i
$625$	−18.6819	−	32.3580i	−0.747275	−	1.29432i
$626$	−1.53467	+	13.0987i	−0.0613378	+	0.523529i
$627$	−20.3577	−	2.79699i	−0.813008	−	0.111701i
$628$	−4.64712	−	1.10409i	−0.185440	−	0.0440580i
$629$		−	2.47316i		−	0.0986115i
$630$		0			0
$631$			15.3304i			0.610292i	0.952306	+	0.305146i	$0.0987052\pi$
$631$			15.3304i			0.610292i	−0.952306	+	0.305146i	$0.901295\pi$
$632$	3.38685	+	19.3010i	0.134722	+	0.767753i
$633$	1.90852	+	0.262216i	0.0758570	+	0.0104221i
$634$	−37.9147	−	4.44218i	−1.50579	−	0.176421i
$635$	32.6618	+	56.5719i	1.29614	+	2.24499i
$636$	−1.96586	−	0.762028i	−0.0779514	−	0.0302164i
$637$		0			0
$638$	−6.24902	−	14.4978i	−0.247401	−	0.573975i
$639$	26.4518	+	7.40837i	1.04642	+	0.293070i
$640$	−30.7817	−	32.7529i	−1.21675	−	1.29467i
$641$	−11.6038	−	6.69943i	−0.458321	−	0.264612i	0.253017	−	0.967462i	$-0.418577\pi$
$641$	−11.6038	−	6.69943i	−0.458321	−	0.264612i	−0.711338	+	0.702850i	$0.751910\pi$
$642$	−2.92424	−	0.756556i	−0.115410	−	0.0298589i
$643$			2.68122i			0.105737i	0.998601	+	0.0528684i	$0.0168364\pi$
$643$			2.68122i			0.105737i	−0.998601	+	0.0528684i	$0.983164\pi$
$644$		0			0
$645$	48.8432	−	19.9097i	1.92320	−	0.783942i
$646$	2.34803	+	1.74905i	0.0923822	+	0.0688155i
$647$	9.86799	−	17.0919i	0.387951	−	0.671950i	−0.604223	−	0.796815i	$-0.706516\pi$
$647$	9.86799	−	17.0919i	0.387951	−	0.671950i	0.992174	+	0.124865i	$0.0398497\pi$
$648$	−19.8774	+	15.9024i	−0.780859	+	0.624707i
$649$	13.0149	+	22.5425i	0.510880	+	0.884870i
$650$	11.9122	−	5.13452i	0.467233	−	0.201392i
$651$		0			0
$652$	−26.5961	−	25.1198i	−1.04158	−	0.983769i
$653$	−30.5038	+	17.6114i	−1.19371	+	0.689186i	−0.959145	−	0.282915i	$-0.908698\pi$
$653$	−30.5038	+	17.6114i	−1.19371	+	0.689186i	−0.234561	+	0.972101i	$0.575365\pi$
$654$	2.09591	+	7.56041i	0.0819567	+	0.295635i
$655$	7.83384	+	4.52287i	0.306094	+	0.176723i
$656$	−11.7519	−	17.9108i	−0.458833	−	0.699299i
$657$	3.03363	−	2.96599i	0.118353	−	0.115714i
$658$		0			0
$659$	39.7628			1.54894			0.774469	−	0.632612i	$-0.218017\pi$
$659$	39.7628			1.54894			0.774469	+	0.632612i	$0.218017\pi$
$660$	−6.96467	−	44.9262i	−0.271100	−	1.74875i
$661$	7.46659	−	12.9325i	0.290417	−	0.503017i	−0.683492	−	0.729958i	$-0.739539\pi$
$661$	7.46659	−	12.9325i	0.290417	−	0.503017i	0.973908	+	0.226942i	$0.0728727\pi$
$662$	20.4979	+	2.40159i	0.796675	+	0.0933404i
$663$	−0.520812	+	0.670870i	−0.0202266	+	0.0260544i
$664$	4.01284	−	10.9969i	0.155728	−	0.426763i
$665$		0			0
$666$	−6.91515	+	16.8371i	−0.267956	+	0.652422i
$667$	−11.5941	+	6.69388i	−0.448927	+	0.259188i
$668$	−11.0874	−	37.1090i	−0.428986	−	1.43579i
$669$	40.5523	+	5.57156i	1.56784	+	0.215409i
$670$	40.7578	+	30.3605i	1.57461	+	1.17293i
$671$	32.1963			1.24292
$672$		0			0
$673$	1.52059			0.0586145			0.0293072	−	0.999570i	$-0.490670\pi$
$673$	1.52059			0.0586145			0.0293072	+	0.999570i	$0.490670\pi$
$674$	35.9322	+	26.7659i	1.38406	+	1.03099i
$675$	−33.3534	−	45.0236i	−1.28377	−	1.73296i
$676$	−7.02891	−	23.5253i	−0.270343	−	0.904821i
$677$	14.2074	−	8.20266i	0.546036	−	0.315254i	−0.201486	−	0.979491i	$-0.564577\pi$
$677$	14.2074	−	8.20266i	0.546036	−	0.315254i	0.747522	+	0.664238i	$0.231244\pi$
$678$	34.7809	+	34.1856i	1.33575	+	1.31289i
$679$		0			0
$680$	−2.22052	+	6.08520i	−0.0851532	+	0.233357i
$681$	16.8261	+	13.0625i	0.644778	+	0.500556i
$682$	22.7314	+	2.66327i	0.870431	+	0.101982i
$683$	−4.57827	+	7.92980i	−0.175183	+	0.303425i	−0.940224	−	0.340555i	$-0.889385\pi$
$683$	−4.57827	+	7.92980i	−0.175183	+	0.303425i	0.765042	+	0.643981i	$0.222718\pi$
$684$	−11.0947	−	18.4726i	−0.424216	−	0.706319i
$685$	36.5672			1.39716
$686$		0			0
$687$	−14.4825	+	5.90343i	−0.552543	+	0.225230i
$688$	16.8201	+	25.6352i	0.641261	+	0.977333i
$689$	0.448349	+	0.258854i	0.0170807	+	0.00986156i
$690$	−37.1518	+	10.2993i	−1.41434	+	0.392088i
$691$	28.7221	−	16.5827i	1.09264	−	0.630836i	0.158362	−	0.987381i	$-0.449379\pi$
$691$	28.7221	−	16.5827i	1.09264	−	0.630836i	0.934278	+	0.356545i	$0.116045\pi$
$692$	−8.12090	−	7.67013i	−0.308710	−	0.291575i
$693$		0			0
$694$	2.79707	−	1.20562i	0.106175	−	0.0457649i
$695$	−22.0602	−	38.2094i	−0.836791	−	1.44937i
$696$	7.73903	−	14.6348i	0.293347	−	0.554731i
$697$	−1.54364	+	2.67366i	−0.0584694	+	0.101272i
$698$	−37.4853	−	27.9228i	−1.41884	−	1.05689i
$699$	−4.95173	−	12.1478i	−0.187292	−	0.459472i
$700$		0			0
$701$		−	38.1529i		−	1.44101i	−0.693448	−	0.720507i	$-0.743909\pi$
$701$		−	38.1529i		−	1.44101i	0.693448	−	0.720507i	$-0.256091\pi$
$702$	5.42143	−	3.11099i	0.204619	−	0.117417i
$703$	−13.3435	−	7.70390i	−0.503261	−	0.290558i
$704$	24.8487	−	8.99771i	0.936519	−	0.339114i
$705$	38.3590	−	49.4111i	1.44468	−	1.86093i
$706$	8.73656	+	20.2690i	0.328805	+	0.762833i
$707$		0			0
$708$	−9.86544	+	25.4506i	−0.370766	+	0.956491i
$709$	−6.97895	−	12.0879i	−0.262100	−	0.453970i	0.704700	−	0.709505i	$-0.251082\pi$
$709$	−6.97895	−	12.0879i	−0.262100	−	0.453970i	−0.966800	+	0.255535i	$0.917748\pi$
$710$	−51.0958	−	5.98651i	−1.91759	−	0.224670i
$711$	−20.1358	+	5.15276i	−0.755150	+	0.193243i
$712$	2.81420	+	16.0375i	0.105466	+	0.601032i
$713$		−	19.4083i		−	0.726848i
$714$		0			0
$715$			11.1633i			0.417483i
$716$	−37.7091	−	8.95915i	−1.40925	−	0.334819i
$717$	−2.18122	+	15.8759i	−0.0814592	+	0.592896i
$718$	5.53724	−	47.2612i	0.206648	−	1.76377i
$719$	−10.0890	−	17.4746i	−0.376255	−	0.651693i	0.614259	−	0.789105i	$-0.289455\pi$
$719$	−10.0890	−	17.4746i	−0.376255	−	0.651693i	−0.990514	+	0.137412i	$0.956122\pi$
$720$	32.1317	−	35.2186i	1.19748	−	1.31252i
$721$		0			0
$722$	−7.92462	+	3.41576i	−0.294924	+	0.127121i
$723$	21.4259	+	16.6334i	0.796838	+	0.618604i
$724$	−6.22565	−	20.8369i	−0.231374	−	0.774396i
$725$	31.5580	+	18.2200i	1.17203	+	0.676674i
$726$	−0.206963	−	0.0535453i	−0.00768112	−	0.00198725i
$727$			1.62103i			0.0601206i	0.999548	+	0.0300603i	$0.00956993\pi$
$727$			1.62103i			0.0601206i	−0.999548	+	0.0300603i	$0.990430\pi$
$728$		0			0
$729$	−18.4353	−	19.7266i	−0.682789	−	0.730615i
$730$	−4.74657	+	6.37208i	−0.175678	+	0.235841i
$731$	2.20936	−	3.82673i	0.0817163	−	0.141537i
$732$	21.1611	+	26.3077i	0.782135	+	0.972359i
$733$	13.9026	+	24.0801i	0.513505	+	0.889417i	0.999877	+	0.0156654i	$0.00498666\pi$
$733$	13.9026	+	24.0801i	0.513505	+	0.889417i	−0.486372	+	0.873752i	$0.661680\pi$
$734$	−4.39181	−	10.1891i	−0.162105	−	0.376086i
$735$		0			0
$736$	−10.0304	−	20.0409i	−0.369725	−	0.738716i
$737$	−25.8786	+	14.9410i	−0.953252	+	0.550360i
$738$	17.9847	−	13.8859i	0.662025	−	0.511146i
$739$	25.1030	+	14.4932i	0.923429	+	0.533142i	0.884727	−	0.466109i	$-0.154345\pi$
$739$	25.1030	+	14.4932i	0.923429	+	0.533142i	0.0387013	+	0.999251i	$0.487678\pi$
$740$	7.87961	−	33.1653i	0.289660	−	1.21918i
$741$	1.99724	+	4.89971i	0.0733704	+	0.179995i
$742$		0			0
$743$	−10.4018			−0.381604			−0.190802	−	0.981629i	$-0.561109\pi$
$743$	−10.4018			−0.381604			−0.190802	+	0.981629i	$0.561109\pi$
$744$	12.7641	+	20.3243i	0.467954	+	0.745126i
$745$	−13.3435	+	23.1117i	−0.488870	+	0.846747i
$746$	0.162308	−	1.38532i	0.00594251	−	0.0507203i
$747$	11.9562	+	3.34859i	0.437456	+	0.122518i
$748$	−2.76888	−	2.61518i	−0.101240	−	0.0956205i
$749$		0			0
$750$	40.1380	+	39.4510i	1.46563	+	1.44055i
$751$	14.7045	−	8.48962i	0.536573	−	0.309791i	−0.207116	−	0.978316i	$-0.566408\pi$
$751$	14.7045	−	8.48962i	0.536573	−	0.309791i	0.743689	+	0.668526i	$0.233074\pi$
$752$	32.4763	+	16.3550i	1.18429	+	0.596406i
$753$	0.728453	−	5.30201i	0.0265463	−	0.193216i
$754$	−2.42838	+	3.26000i	−0.0884363	+	0.118722i
$755$	52.4922			1.91039
$756$		0			0
$757$	−10.9716			−0.398770			−0.199385	−	0.979921i	$-0.563894\pi$
$757$	−10.9716			−0.398770			−0.199385	+	0.979921i	$0.563894\pi$
$758$	−15.9067	+	21.3541i	−0.577757	+	0.775617i
$759$	3.08539	−	22.4569i	0.111993	−	0.815132i
$760$	25.9147	+	30.9358i	0.940026	+	1.12216i
$761$	−10.0723	+	5.81526i	−0.365121	+	0.210803i	−0.671325	−	0.741163i	$-0.734274\pi$
$761$	−10.0723	+	5.81526i	−0.365121	+	0.210803i	0.306204	+	0.951966i	$0.400941\pi$
$762$	−28.7242	−	28.2325i	−1.04057	−	1.02276i
$763$		0			0
$764$	−1.69343	+	1.79295i	−0.0612660	+	0.0648666i
$765$	−6.61603	−	1.85296i	−0.239203	−	0.0669938i
$766$	0.596206	−	5.08871i	0.0215418	−	0.183863i
$767$	3.35120	−	5.80445i	0.121005	−	0.209586i
$768$	23.6838	+	14.3901i	0.854617	+	0.519259i
$769$	−0.123424			−0.00445080			−0.00222540	−	0.999998i	$-0.500708\pi$
$769$	−0.123424			−0.00445080			−0.00222540	+	0.999998i	$0.500708\pi$
$770$		0			0
$771$	−4.81794	−	11.8196i	−0.173514	−	0.425671i
$772$	−30.7118	−	7.29669i	−1.10534	−	0.262614i
$773$	−13.4620	−	7.77229i	−0.484194	−	0.279550i	0.237968	−	0.971273i	$-0.423519\pi$
$773$	−13.4620	−	7.77229i	−0.484194	−	0.279550i	−0.722163	+	0.691723i	$0.756852\pi$
$774$	−25.7409	+	19.8744i	−0.925239	+	0.714372i
$775$	−45.7498	+	26.4137i	−1.64338	+	0.948808i
$776$	−13.1365	+	35.9997i	−0.471573	+	1.29231i
$777$		0			0
$778$	8.18188	+	18.9821i	0.293334	+	0.680541i
$779$	9.61685	+	16.6569i	0.344559	+	0.596794i
$780$	−9.12153	+	7.33708i	−0.326603	+	0.262710i
$781$	15.1240	−	26.1956i	0.541181	−	0.937353i
$782$	−1.92940	+	2.59015i	−0.0689953	+	0.0926235i
$783$	16.1067	+	6.99304i	0.575607	+	0.249911i
$784$		0			0
$785$			9.48806i			0.338643i
$786$	−5.39947	−	1.39695i	−0.192593	−	0.0498274i
$787$	36.3048	+	20.9606i	1.29413	+	0.747164i	0.979383	−	0.202014i	$-0.0647485\pi$
$787$	36.3048	+	20.9606i	1.29413	+	0.747164i	0.314743	+	0.949177i	$0.398082\pi$
$788$	−33.3182	+	9.95483i	−1.18691	+	0.354626i
$789$	30.3780	+	23.5831i	1.08148	+	0.839581i
$790$	35.7463	−	15.4078i	1.27180	−	0.548185i
$791$		0			0
$792$	11.5380	+	25.5459i	0.409984	+	0.907733i
$793$	−4.14510	−	7.17953i	−0.147197	−	0.254953i
$794$	1.00337	−	8.56394i	0.0356083	−	0.303923i
$795$	−0.570059	+	4.14915i	−0.0202179	+	0.147155i
$796$	−2.11161	+	8.88779i	−0.0748442	+	0.315019i
$797$			20.7831i			0.736175i	0.929791	+	0.368088i	$0.119987\pi$
$797$			20.7831i			0.736175i	−0.929791	+	0.368088i	$0.880013\pi$
$798$		0			0
$799$		−	5.24038i		−	0.185391i
$800$	−33.5901	+	50.9184i	−1.18759	+	1.80024i
$801$	−16.7312	+	4.28151i	−0.591166	+	0.151280i
$802$	10.2397	+	1.19971i	0.361577	+	0.0423632i
$803$	−2.33589	−	4.04587i	−0.0824316	−	0.142776i
$804$	−29.2171	−	11.3255i	−1.03041	−	0.399418i
$805$		0			0
$806$	−2.33266	−	5.41181i	−0.0821645	−	0.190623i
$807$	−10.6361	+	13.7006i	−0.374408	+	0.482284i
$808$	−15.4797	+	12.9673i	−0.544576	+	0.456187i
$809$	−1.65777	−	0.957115i	−0.0582842	−	0.0336504i	0.470575	−	0.882360i	$-0.344047\pi$
$809$	−1.65777	−	0.957115i	−0.0582842	−	0.0336504i	−0.528859	+	0.848710i	$0.677380\pi$
$810$	39.8603	+	31.1137i	1.40055	+	1.09322i
$811$			4.68171i			0.164397i	0.996616	+	0.0821986i	$0.0261942\pi$
$811$			4.68171i			0.164397i	−0.996616	+	0.0821986i	$0.973806\pi$
$812$		0			0
$813$	15.4196	+	37.8280i	0.540789	+	1.32668i
$814$	16.0735	+	11.9732i	0.563378	+	0.419660i
$815$	−36.3351	+	62.9342i	−1.27276	+	2.20449i
$816$	0.317023	−	3.98128i	0.0110980	−	0.139373i
$817$	−13.7643	−	23.8405i	−0.481552	−	0.834073i
$818$	−26.2209	+	11.3020i	−0.916792	+	0.395166i
$819$		0			0
$820$	−29.2186	+	30.9358i	−1.02036	+	1.08033i
$821$	−1.44771	+	0.835834i	−0.0505253	+	0.0291708i	−0.525050	−	0.851071i	$-0.675953\pi$
$821$	−1.44771	+	0.835834i	−0.0505253	+	0.0291708i	0.474525	+	0.880242i	$0.342620\pi$
$822$	−21.7265	+	6.02306i	−0.757798	+	0.210078i
$823$	23.7559	+	13.7155i	0.828078	+	0.478091i	0.853194	−	0.521593i	$-0.174662\pi$
$823$	23.7559	+	13.7155i	0.828078	+	0.478091i	−0.0251160	+	0.999685i	$0.507996\pi$
$824$	−5.13724	−	29.2761i	−0.178964	−	1.01988i
$825$	−57.1350	+	23.2896i	−1.98918	+	0.810840i
$826$		0			0
$827$	25.9621			0.902789			0.451395	−	0.892324i	$-0.350927\pi$
$827$	25.9621			0.902789			0.451395	+	0.892324i	$0.350927\pi$
$828$	20.3774	−	12.2387i	0.708164	−	0.425325i
$829$	14.5674	−	25.2315i	0.505948	−	0.876328i	−0.494028	−	0.869446i	$-0.664476\pi$
$829$	14.5674	−	25.2315i	0.505948	−	0.876328i	0.999976	−	0.00688179i	$-0.00219056\pi$
$830$	−23.0954	−	2.70591i	−0.801652	−	0.0939234i
$831$	−39.7586	−	30.8655i	−1.37921	−	1.07071i
$832$	−5.20555	−	4.38265i	−0.180470	−	0.151941i
$833$		0			0
$834$	19.4007	+	19.0686i	0.671791	+	0.660293i
$835$	−66.6265	+	38.4668i	−2.30571	+	1.33120i
$836$	−22.7348	+	6.79272i	−0.786300	+	0.234931i
$837$	−20.4547	+	15.1528i	−0.707017	+	0.523757i
$838$	−1.50711	−	1.12265i	−0.0520623	−	0.0387812i
$839$	14.3863			0.496671			0.248336	−	0.968674i	$-0.420116\pi$
$839$	14.3863			0.496671			0.248336	+	0.968674i	$0.420116\pi$
$840$		0			0
$841$	17.5804			0.606221
$842$	−8.30031	−	6.18290i	−0.286048	−	0.213077i
$843$	39.9622	+	5.49049i	1.37637	+	0.189102i
$844$	2.13138	−	0.636813i	0.0733650	−	0.0219200i
$845$	−42.2381	+	24.3862i	−1.45303	+	0.838909i
$846$	−14.6525	+	35.6760i	−0.503762	+	1.22656i
$847$		0			0
$848$	−2.43059	+	0.138880i	−0.0834668	+	0.00476916i
$849$	18.5090	−	23.8419i	0.635228	−	0.818253i
$850$	8.73138	+	1.02299i	0.299484	+	0.0350882i
$851$	8.49827	−	14.7194i	0.291317	−	0.504576i
$852$	31.3448	−	4.85921i	1.07385	−	0.166474i
$853$	−49.4483			−1.69308			−0.846539	−	0.532327i	$-0.821318\pi$
$853$	−49.4483			−1.69308			−0.846539	+	0.532327i	$0.821318\pi$
$854$		0			0
$855$	−30.6062	+	29.9237i	−1.04671	+	1.02337i
$856$	−3.43531	+	0.602812i	−0.117416	+	0.0206037i
$857$	−10.0283	−	5.78983i	−0.342560	−	0.197777i	0.318844	−	0.947807i	$-0.396705\pi$
$857$	−10.0283	−	5.78983i	−0.342560	−	0.197777i	−0.661403	+	0.750030i	$0.730039\pi$
$858$	−1.83873	−	6.63269i	−0.0627732	−	0.226436i
$859$	−6.27765	+	3.62441i	−0.214191	+	0.123663i	−0.603258	−	0.797546i	$-0.706131\pi$
$859$	−6.27765	+	3.62441i	−0.214191	+	0.123663i	0.389067	+	0.921210i	$0.372798\pi$
$860$	41.8198	−	44.2775i	1.42604	−	1.50985i
$861$		0			0
$862$	−0.232377	+	0.100162i	−0.00791479	+	0.00341152i
$863$	10.4435	+	18.0886i	0.355500	+	0.615744i	0.987203	−	0.159466i	$-0.0509773\pi$
$863$	10.4435	+	18.0886i	0.355500	+	0.615744i	−0.631703	+	0.775210i	$0.717644\pi$
$864$	−13.2902	+	26.2177i	−0.452142	+	0.891946i
$865$	−11.0946	+	19.2164i	−0.377228	+	0.653378i
$866$	−17.2956	−	12.8835i	−0.587728	−	0.437799i
$867$	26.7336	−	10.8973i	0.907920	−	0.370090i
$868$		0			0
$869$			22.8869i			0.776385i
$870$	−31.8369	−	8.23682i	−1.07937	−	0.279254i
$871$	6.66347	+	3.84716i	0.225783	+	0.130356i
$872$	5.81744	+	6.94460i	0.197004	+	0.235174i
$873$	−39.1401	−	10.9620i	−1.32469	−	0.371008i
$874$	7.96462	+	18.4781i	0.269407	+	0.625030i
$875$		0			0
$876$	1.77063	−	4.56781i	0.0598239	−	0.154332i
$877$	28.5877	+	49.5154i	0.965339	+	1.67202i	0.708701	+	0.705509i	$0.249282\pi$
$877$	28.5877	+	49.5154i	0.965339	+	1.67202i	0.256639	+	0.966507i	$0.417385\pi$
$878$	42.0053	+	4.92144i	1.41761	+	0.166091i
$879$	2.07194	+	0.284667i	0.0698847	+	0.00960159i
$880$	−28.7987	−	43.8915i	−0.970804	−	1.47958i
$881$			26.8284i			0.903870i	0.892051	+	0.451935i	$0.149266\pi$
$881$			26.8284i			0.903870i	−0.892051	+	0.451935i	$0.850734\pi$
$882$		0			0
$883$		−	27.6059i		−	0.929012i	−0.885570	−	0.464506i	$-0.846232\pi$
$883$		−	27.6059i		−	0.929012i	0.885570	−	0.464506i	$-0.153768\pi$
$884$	−0.226688	+	0.954128i	−0.00762433	+	0.0320908i
$885$	53.7160	+	7.38015i	1.80564	+	0.248081i
$886$	0.825451	−	7.04537i	0.0277316	−	0.236694i
$887$	13.1703	+	22.8116i	0.442215	+	0.765939i	0.997854	−	0.0654853i	$-0.0208595\pi$
$887$	13.1703	+	22.8116i	0.442215	+	0.765939i	−0.555639	+	0.831424i	$0.687526\pi$
$888$	0.781041	+	21.0031i	0.0262100	+	0.704818i
$889$		0			0
$890$	29.7022	−	12.8026i	0.995622	−	0.429144i
$891$	−26.0764	+	14.2811i	−0.873593	+	0.478436i
$892$	45.2874	−	13.5310i	1.51634	−	0.453051i
$893$	−28.2736	−	16.3238i	−0.946139	−	0.546254i
$894$	4.12132	−	15.9297i	0.137838	−	0.532770i
$895$			76.9909i			2.57352i
$896$		0			0
$897$	−5.40493	+	2.20318i	−0.180465	+	0.0735621i
$898$	−12.2481	+	16.4426i	−0.408724	+	0.548696i
$899$	8.27753	−	14.3371i	0.276071	−	0.478169i
$900$	−56.5820	−	31.3780i	−1.88607	−	1.04593i
$901$	0.175430	+	0.303854i	0.00584443	+	0.0101228i
$902$	−9.90347	−	22.9762i	−0.329749	−	0.765024i
$903$		0			0
$904$	52.9010	+	19.3039i	1.75946	+	0.642038i
$905$	−37.4111	+	21.5993i	−1.24359	+	0.717985i
$906$	−31.1884	+	8.64612i	−1.03617	+	0.287248i
$907$	9.51618	+	5.49417i	0.315980	+	0.182431i	0.649599	−	0.760277i	$-0.274937\pi$
$907$	9.51618	+	5.49417i	0.315980	+	0.182431i	−0.333619	+	0.942708i	$0.608270\pi$
$908$	23.9305	+	5.68556i	0.794163	+	0.188682i
$909$	−14.9733	−	15.3148i	−0.496634	−	0.507961i
$910$		0			0
$911$	−6.42795			−0.212968			−0.106484	−	0.994314i	$-0.533959\pi$
$911$	−6.42795			−0.212968			−0.106484	+	0.994314i	$0.533959\pi$
$912$	−20.4928	−	14.1121i	−0.678585	−	0.467299i
$913$	6.83609	−	11.8404i	0.226241	−	0.391862i
$914$	−3.26779	+	27.8911i	−0.108089	+	0.922556i
$915$	41.1262	−	52.9757i	1.35959	−	1.75132i
$916$	−12.4000	+	13.1288i	−0.409709	+	0.433787i
$917$		0			0
$918$	4.23614	+	0.0111973i	0.139813	+	0.000369566i
$919$	47.7559	−	27.5719i	1.57532	−	0.909512i	0.579822	−	0.814743i	$-0.303122\pi$
$919$	47.7559	−	27.5719i	1.57532	−	0.909512i	0.995499	−	0.0947691i	$-0.0302113\pi$
$920$	−34.1257	+	28.5869i	−1.12509	+	0.942481i
$921$	−58.3889	−	8.02216i	−1.92398	−	0.264339i
$922$	−14.6923	+	19.7238i	−0.483864	+	0.649569i
$923$	−7.78856			−0.256364
$924$		0			0
$925$	−46.2628			−1.52111
$926$	−12.9514	+	17.3868i	−0.425610	+	0.571365i
$927$	30.5423	−	7.81579i	1.00314	−	0.256704i
$928$	1.13777	−	19.0823i	0.0373493	−	0.626406i
$929$	−41.5330	+	23.9791i	−1.36265	+	0.786728i	−0.989976	−	0.141233i	$-0.954893\pi$
$929$	−41.5330	+	23.9791i	−1.36265	+	0.786728i	−0.372677	+	0.927961i	$0.621560\pi$
$930$	33.4183	−	34.0003i	1.09583	−	1.11491i
$931$		0			0
$932$	−11.0123	−	10.4010i	−0.360719	−	0.340697i
$933$	−36.5458	−	28.3713i	−1.19645	−	0.928835i
$934$	−3.46939	+	29.6118i	−0.113522	+	0.968929i
$935$	−3.78278	+	6.55197i	−0.123710	+	0.214272i
$936$	4.21108	−	5.86177i	0.137643	−	0.191598i
$937$	36.7501			1.20057			0.600287	−	0.799784i	$-0.295053\pi$
$937$	36.7501			1.20057			0.600287	+	0.799784i	$0.295053\pi$
$938$		0			0
$939$	−14.9574	+	6.09698i	−0.488115	+	0.198968i
$940$	16.6961	−	70.2738i	0.544566	−	2.29208i
$941$	−34.3080	−	19.8077i	−1.11841	−	0.645714i	−0.177415	−	0.984136i	$-0.556774\pi$
$941$	−34.3080	−	19.8077i	−1.11841	−	0.645714i	−0.940994	+	0.338422i	$0.890107\pi$
$942$	−1.56280	−	5.63735i	−0.0509188	−	0.183675i
$943$	−18.3744	+	10.6085i	−0.598353	+	0.345459i
$944$	1.79798	+	31.4671i	0.0585193	+	1.02417i
$945$		0			0
$946$	14.1745	+	32.8852i	0.460854	+	1.06919i
$947$	5.92594	+	10.2640i	0.192567	+	0.333536i	0.946100	−	0.323874i	$-0.104985\pi$
$947$	5.92594	+	10.2640i	0.192567	+	0.333536i	−0.753533	+	0.657410i	$0.771652\pi$
$948$	−18.7009	+	15.0424i	−0.607378	+	0.488556i
$949$	−0.601466	+	1.04177i	−0.0195244	+	0.0338172i
$950$	32.7176	−	43.9221i	1.06150	−	1.42502i
$951$	−17.6480	−	43.2948i	−0.572275	−	1.40393i
$952$		0			0
$953$			39.8193i			1.28987i	0.764236	+	0.644937i	$0.223116\pi$
$953$			39.8193i			1.28987i	−0.764236	+	0.644937i	$0.776884\pi$
$954$	−0.344713	−	2.55912i	−0.0111605	−	0.0828547i
$955$	4.24264	+	2.44949i	0.137289	+	0.0792636i
$956$	5.29728	+	17.7297i	0.171326	+	0.573418i
$957$	11.8569	−	15.2732i	0.383280	−	0.493712i
$958$	9.86972	−	4.25416i	0.318876	−	0.137446i
$959$		0			0
$960$	16.9358	−	52.3792i	0.546602	−	1.69053i
$961$	−3.50000	−	6.06218i	−0.112903	−	0.195554i
$962$	0.600546	−	5.12576i	0.0193624	−	0.165261i
$963$	−0.917118	−	3.58388i	−0.0295537	−	0.115489i
$964$	30.4725	+	7.23984i	0.981453	+	0.233179i
$965$			62.7045i			2.01853i
$966$		0			0
$967$			23.4388i			0.753741i	0.926266	+	0.376871i	$0.123000\pi$
$967$			23.4388i			0.753741i	−0.926266	+	0.376871i	$0.877000\pi$
$968$	−0.243134	+	0.0426641i	−0.00781462	+	0.00137127i
$969$	−0.488088	+	3.55253i	−0.0156797	+	0.114124i
$970$	75.6054	+	8.85811i	2.42754	+	0.284417i
$971$	5.55718	+	9.62532i	0.178338	+	0.308891i	0.941312	−	0.337539i	$-0.109595\pi$
$971$	5.55718	+	9.62532i	0.178338	+	0.308891i	−0.762973	+	0.646430i	$0.776261\pi$
$972$	−28.8079	−	11.9208i	−0.924014	−	0.382359i
$973$		0			0
$974$	8.64155	+	20.0485i	0.276893	+	0.642396i
$975$	12.5492	+	9.74225i	0.401897	+	0.312002i
$976$	34.8191	+	17.5349i	1.11453	+	0.561278i
$977$	−9.58812	−	5.53570i	−0.306751	−	0.177103i	0.338721	−	0.940887i	$-0.390006\pi$
$977$	−9.58812	−	5.53570i	−0.306751	−	0.177103i	−0.645472	+	0.763784i	$0.723339\pi$
$978$	11.2225	−	43.3774i	0.358857	−	1.38706i
$979$			19.0171i			0.607790i
$980$		0			0
$981$	−6.87062	+	6.71741i	−0.219362	+	0.214470i
$982$	−45.9515	−	34.2293i	−1.46637	−	1.09230i
$983$	15.9716	−	27.6637i	0.509416	−	0.882334i	−0.490524	−	0.871427i	$-0.663195\pi$
$983$	15.9716	−	27.6637i	0.509416	−	0.882334i	0.999941	−	0.0109070i	$-0.00347189\pi$
$984$	12.2648	−	23.1933i	0.390989	−	0.739374i
$985$	34.5373	+	59.8204i	1.10045	+	1.90604i
$986$	−2.52995	+	1.09049i	−0.0805700	+	0.0347282i
$987$		0			0
$988$	4.44171	+	4.19516i	0.141310	+	0.133466i
$989$	26.2988	−	15.1836i	0.836252	−	0.482811i
$990$	44.0725	−	34.0282i	1.40072	−	1.08149i
$991$	−18.0000	−	10.3923i	−0.571789	−	0.330122i	0.186075	−	0.982536i	$-0.440423\pi$
$991$	−18.0000	−	10.3923i	−0.571789	−	0.330122i	−0.757863	+	0.652413i	$0.773757\pi$
$992$	23.1327	+	15.2603i	0.734465	+	0.484515i
$993$	9.54109	+	23.4066i	0.302777	+	0.742785i
$994$		0			0
$995$	18.1463			0.575275
$996$	14.1679	−	2.19637i	0.448926	−	0.0695946i
$997$	20.7685	−	35.9721i	0.657745	−	1.13925i	−0.323453	−	0.946244i	$-0.604844\pi$
$997$	20.7685	−	35.9721i	0.657745	−	1.13925i	0.981198	−	0.193003i	$-0.0618228\pi$
$998$	42.6537	+	4.99740i	1.35018	+	0.158190i
$999$	−22.1479	+	2.53557i	−0.700728	+	0.0802219i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.n.d.263.11		24
3.2	odd	2	inner	588.2.n.d.263.2		24
4.3	odd	2		588.2.n.h.263.6		24
7.2	even	3		588.2.n.h.275.7		24
7.3	odd	6		588.2.e.f.491.3	yes	24
7.4	even	3		588.2.e.f.491.4	yes	24
7.5	odd	6		588.2.n.h.275.8		24
7.6	odd	2	inner	588.2.n.d.263.12		24
12.11	even	2		588.2.n.h.263.7		24
21.2	odd	6		588.2.n.h.275.6		24
21.5	even	6		588.2.n.h.275.5		24
21.11	odd	6		588.2.e.f.491.21	yes	24
21.17	even	6		588.2.e.f.491.22	yes	24
21.20	even	2	inner	588.2.n.d.263.1		24
28.3	even	6		588.2.e.f.491.24	yes	24
28.11	odd	6		588.2.e.f.491.23	yes	24
28.19	even	6	inner	588.2.n.d.275.1		24
28.23	odd	6	inner	588.2.n.d.275.2		24
28.27	even	2		588.2.n.h.263.5		24
84.11	even	6		588.2.e.f.491.2	yes	24
84.23	even	6	inner	588.2.n.d.275.11		24
84.47	odd	6	inner	588.2.n.d.275.12		24
84.59	odd	6		588.2.e.f.491.1	✓	24
84.83	odd	2		588.2.n.h.263.8		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.e.f.491.1	✓	24	84.59	odd	6
588.2.e.f.491.2	yes	24	84.11	even	6
588.2.e.f.491.3	yes	24	7.3	odd	6
588.2.e.f.491.4	yes	24	7.4	even	3
588.2.e.f.491.21	yes	24	21.11	odd	6
588.2.e.f.491.22	yes	24	21.17	even	6
588.2.e.f.491.23	yes	24	28.11	odd	6
588.2.e.f.491.24	yes	24	28.3	even	6
588.2.n.d.263.1		24	21.20	even	2	inner
588.2.n.d.263.2		24	3.2	odd	2	inner
588.2.n.d.263.11		24	1.1	even	1	trivial
588.2.n.d.263.12		24	7.6	odd	2	inner
588.2.n.d.275.1		24	28.19	even	6	inner
588.2.n.d.275.2		24	28.23	odd	6	inner
588.2.n.d.275.11		24	84.23	even	6	inner
588.2.n.d.275.12		24	84.47	odd	6	inner
588.2.n.h.263.5		24	28.27	even	2
588.2.n.h.263.6		24	4.3	odd	2
588.2.n.h.263.7		24	12.11	even	2
588.2.n.h.263.8		24	84.83	odd	2
588.2.n.h.275.5		24	21.5	even	6
588.2.n.h.275.6		24	21.2	odd	6
588.2.n.h.275.7		24	7.2	even	3
588.2.n.h.275.8		24	7.5	odd	6

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Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	588.2.n.d.263.11

Level	$588$
Weight	$2$
Character	588.263
Analytic conductor	$4.695$
Analytic rank	$0$
Dimension	$24$
Inner twists	$8$