LMFDB - Embedded newform 294.2.p.a.101.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [294,2,Mod(5,294)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(294, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("294.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$294 = 2 \cdot 3 \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	294.p (of order $42$ , degree $12$ , 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:	$2.34760181943$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.15
Character	$\chi$	$=$	294.101
Dual form			294.2.p.a.131.15

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.930874 + 0.365341i) q^{2} +(1.14126 + 1.30289i) q^{3} +(0.733052 + 0.680173i) q^{4} +(-1.06899 - 0.728826i) q^{5} +(0.586366 + 1.62978i) q^{6} +(2.60563 + 0.459029i) q^{7} +(0.433884 + 0.900969i) q^{8} +(-0.395064 + 2.97387i) q^{9} +(-0.728826 - 1.06899i) q^{10} +(-0.431805 - 2.86484i) q^{11} +(-0.0495920 + 1.73134i) q^{12} +(-2.21249 + 1.76440i) q^{13} +(2.25781 + 1.37924i) q^{14} +(-0.270412 - 2.22456i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(-1.26151 - 0.389126i) q^{17} +(-1.45423 + 2.62397i) q^{18} +(2.16116 - 1.24774i) q^{19} +(-0.287899 - 1.26137i) q^{20} +(2.37563 + 3.91872i) q^{21} +(0.644687 - 2.82456i) q^{22} +(0.228184 + 0.739754i) q^{23} +(-0.678694 + 1.59354i) q^{24} +(-1.21515 - 3.09615i) q^{25} +(-2.70416 + 0.834123i) q^{26} +(-4.32551 + 2.87923i) q^{27} +(1.59784 + 2.10877i) q^{28} +(3.46115 - 0.789984i) q^{29} +(0.561004 - 2.16958i) q^{30} +(-6.98618 - 4.03347i) q^{31} +(-0.294755 + 0.955573i) q^{32} +(3.23978 - 3.83211i) q^{33} +(-1.03215 - 0.823110i) q^{34} +(-2.45084 - 2.38975i) q^{35} +(-2.31235 + 1.91129i) q^{36} +(3.83983 - 3.56284i) q^{37} +(2.46761 - 0.371933i) q^{38} +(-4.82385 - 0.869003i) q^{39} +(0.192832 - 1.27935i) q^{40} +(-7.24650 + 3.48973i) q^{41} +(0.779736 + 4.51575i) q^{42} +(-1.28782 - 0.620182i) q^{43} +(1.63205 - 2.39378i) q^{44} +(2.58976 - 2.89111i) q^{45} +(-0.0578521 + 0.771983i) q^{46} +(1.02904 - 2.62196i) q^{47} +(-1.21396 + 1.23543i) q^{48} +(6.57859 + 2.39212i) q^{49} -3.32607i q^{50} +(-0.932723 - 2.08771i) q^{51} +(-2.82197 - 0.211477i) q^{52} +(7.58269 - 8.17220i) q^{53} +(-5.07840 + 1.09991i) q^{54} +(-1.62637 + 3.37720i) q^{55} +(0.716969 + 2.54675i) q^{56} +(4.09211 + 1.39176i) q^{57} +(3.51051 + 0.529124i) q^{58} +(8.45762 - 5.76631i) q^{59} +(1.31486 - 1.81464i) q^{60} +(0.237463 + 0.255925i) q^{61} +(-5.02966 - 6.30699i) q^{62} +(-2.39448 + 7.56746i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(3.65108 - 0.273610i) q^{65} +(4.41585 - 2.38359i) q^{66} +(-7.17969 + 12.4356i) q^{67} +(-0.660083 - 1.14330i) q^{68} +(-0.703404 + 1.14155i) q^{69} +(-1.40835 - 3.11995i) q^{70} +(5.66734 + 1.29353i) q^{71} +(-2.85078 + 0.934375i) q^{72} +(-6.12979 + 2.40576i) q^{73} +(4.87605 - 1.91371i) q^{74} +(2.64716 - 5.11672i) q^{75} +(2.43292 + 0.555298i) q^{76} +(0.189920 - 7.66291i) q^{77} +(-4.17291 - 2.57128i) q^{78} +(-4.93510 - 8.54785i) q^{79} +(0.646902 - 1.12047i) q^{80} +(-8.68785 - 2.34974i) q^{81} +(-8.02051 + 0.601054i) q^{82} +(-3.79532 + 4.75918i) q^{83} +(-0.923953 + 4.48846i) q^{84} +(1.06494 + 1.33540i) q^{85} +(-0.972221 - 1.04780i) q^{86} +(4.97933 + 3.60793i) q^{87} +(2.39378 - 1.63205i) q^{88} +(-14.4942 - 2.18465i) q^{89} +(3.46698 - 1.74512i) q^{90} +(-6.57484 + 3.58178i) q^{91} +(-0.335890 + 0.697483i) q^{92} +(-2.71784 - 13.7055i) q^{93} +(1.91582 - 2.06476i) q^{94} +(-3.21965 - 0.241279i) q^{95} +(-1.58140 + 0.706520i) q^{96} +7.81031i q^{97} +(5.24989 + 4.63018i) q^{98} +(8.69025 - 0.152340i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36}+ \cdots + 224 q^{99}+O(q^{100})$ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/294\mathbb{Z}\right)^\times$ .

$n$	$197$	$199$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	0.930874	+	0.365341i	0.658227	+	0.258335i
$2$	0.930874	+	0.365341i	0.658227	+	0.258335i
$3$	1.14126	+	1.30289i	0.658905	+	0.752226i
$3$	1.14126	+	1.30289i	0.658905	+	0.752226i
$4$	0.733052	+	0.680173i	0.366526	+	0.340086i
$5$	−1.06899	−	0.728826i	−0.478068	−	0.325941i	0.300197	−	0.953877i	$-0.402947\pi$
$5$	−1.06899	−	0.728826i	−0.478068	−	0.325941i	−0.778265	+	0.627936i	$0.783900\pi$
$6$	0.586366	+	1.62978i	0.239383	+	0.665354i
$7$	2.60563	+	0.459029i	0.984834	+	0.173497i
$7$	2.60563	+	0.459029i	0.984834	+	0.173497i
$8$	0.433884	+	0.900969i	0.153401	+	0.318541i
$9$	−0.395064	+	2.97387i	−0.131688	+	0.991291i
$10$	−0.728826	−	1.06899i	−0.230475	−	0.338045i
$11$	−0.431805	−	2.86484i	−0.130194	−	0.863781i	−0.954623	−	0.297816i	$-0.903742\pi$
$11$	−0.431805	−	2.86484i	−0.130194	−	0.863781i	0.824429	−	0.565965i	$-0.191496\pi$
$12$	−0.0495920	+	1.73134i	−0.0143160	+	0.499795i
$13$	−2.21249	+	1.76440i	−0.613635	+	0.489357i	−0.880291	−	0.474434i	$-0.842653\pi$
$13$	−2.21249	+	1.76440i	−0.613635	+	0.489357i	0.266656	+	0.963792i	$0.414081\pi$
$14$	2.25781	+	1.37924i	0.603425	+	0.368617i
$15$	−0.270412	−	2.22456i	−0.0698200	−	0.574379i
$16$	0.0747301	+	0.997204i	0.0186825	+	0.249301i
$17$	−1.26151	−	0.389126i	−0.305962	−	0.0943768i	0.137972	−	0.990436i	$-0.455942\pi$
$17$	−1.26151	−	0.389126i	−0.305962	−	0.0943768i	−0.443934	+	0.896059i	$0.646418\pi$
$18$	−1.45423	+	2.62397i	−0.342766	+	0.618475i
$19$	2.16116	−	1.24774i	0.495803	−	0.286252i	−0.231176	−	0.972912i	$-0.574257\pi$
$19$	2.16116	−	1.24774i	0.495803	−	0.286252i	0.726979	+	0.686660i	$0.240924\pi$
$20$	−0.287899	−	1.26137i	−0.0643761	−	0.282050i
$21$	2.37563	+	3.91872i	0.518404	+	0.855136i
$22$	0.644687	−	2.82456i	0.137448	−	0.602198i
$23$	0.228184	+	0.739754i	0.0475796	+	0.154249i	0.976245	−	0.216669i	$-0.0695192\pi$
$23$	0.228184	+	0.739754i	0.0475796	+	0.154249i	−0.928666	+	0.370918i	$0.879043\pi$
$24$	−0.678694	+	1.59354i	−0.138538	+	0.325280i
$25$	−1.21515	−	3.09615i	−0.243030	−	0.619230i
$26$	−2.70416	+	0.834123i	−0.530329	+	0.163585i
$27$	−4.32551	+	2.87923i	−0.832445	+	0.554108i
$28$	1.59784	+	2.10877i	0.301964	+	0.398520i
$29$	3.46115	−	0.789984i	0.642719	−	0.146696i	0.111275	−	0.993790i	$-0.464507\pi$
$29$	3.46115	−	0.789984i	0.642719	−	0.146696i	0.531444	+	0.847093i	$0.321649\pi$
$30$	0.561004	−	2.16958i	0.102425	−	0.396109i
$31$	−6.98618	−	4.03347i	−1.25475	−	0.724433i	−0.282705	−	0.959207i	$-0.591232\pi$
$31$	−6.98618	−	4.03347i	−1.25475	−	0.724433i	−0.972050	+	0.234774i	$0.924565\pi$
$32$	−0.294755	+	0.955573i	−0.0521058	+	0.168923i
$33$	3.23978	−	3.83211i	0.563973	−	0.667085i
$34$	−1.03215	−	0.823110i	−0.177012	−	0.141162i
$35$	−2.45084	−	2.38975i	−0.414268	−	0.403941i
$36$	−2.31235	+	1.91129i	−0.385392	+	0.318549i
$37$	3.83983	−	3.56284i	0.631264	−	0.585728i	−0.298262	−	0.954484i	$-0.596407\pi$
$37$	3.83983	−	3.56284i	0.631264	−	0.585728i	0.929526	+	0.368757i	$0.120216\pi$
$38$	2.46761	−	0.371933i	0.400300	−	0.0603355i
$39$	−4.82385	−	0.869003i	−0.772434	−	0.139152i
$40$	0.192832	−	1.27935i	0.0304894	−	0.202284i
$41$	−7.24650	+	3.48973i	−1.13171	+	0.545004i	−0.903492	−	0.428605i	$-0.859005\pi$
$41$	−7.24650	+	3.48973i	−1.13171	+	0.545004i	−0.228221	+	0.973609i	$0.573291\pi$
$42$	0.779736	+	4.51575i	0.120316	+	0.696796i
$43$	−1.28782	−	0.620182i	−0.196391	−	0.0945768i	0.333104	−	0.942890i	$-0.391904\pi$
$43$	−1.28782	−	0.620182i	−0.196391	−	0.0945768i	−0.529495	+	0.848313i	$0.677618\pi$
$44$	1.63205	−	2.39378i	0.246041	−	0.360875i
$45$	2.58976	−	2.89111i	0.386058	−	0.430982i
$46$	−0.0578521	+	0.771983i	−0.00852983	+	0.113823i
$47$	1.02904	−	2.62196i	0.150102	−	0.382453i	−0.835970	−	0.548776i	$-0.815094\pi$
$47$	1.02904	−	2.62196i	0.150102	−	0.382453i	0.986071	+	0.166323i	$0.0531894\pi$
$48$	−1.21396	+	1.23543i	−0.175221	+	0.178319i
$49$	6.57859	+	2.39212i	0.939798	+	0.341731i
$50$		−	3.32607i		−	0.470377i
$51$	−0.932723	−	2.08771i	−0.130607	−	0.292338i
$52$	−2.82197	−	0.211477i	−0.391337	−	0.0293266i
$53$	7.58269	−	8.17220i	1.04156	−	1.12254i	0.0492497	−	0.998786i	$-0.484317\pi$
$53$	7.58269	−	8.17220i	1.04156	−	1.12254i	0.992313	−	0.123751i	$-0.0394925\pi$
$54$	−5.07840	+	1.09991i	−0.691083	+	0.149679i
$55$	−1.62637	+	3.37720i	−0.219300	+	0.455381i
$56$	0.716969	+	2.54675i	0.0958090	+	0.340324i
$57$	4.09211	+	1.39176i	0.542013	+	0.184343i
$58$	3.51051	+	0.529124i	0.460952	+	0.0694773i
$59$	8.45762	−	5.76631i	1.10109	−	0.750709i	0.130498	−	0.991449i	$-0.458342\pi$
$59$	8.45762	−	5.76631i	1.10109	−	0.750709i	0.970590	+	0.240740i	$0.0773900\pi$
$60$	1.31486	−	1.81464i	0.169748	−	0.234270i
$61$	0.237463	+	0.255925i	0.0304041	+	0.0327678i	0.748071	−	0.663619i	$-0.230980\pi$
$61$	0.237463	+	0.255925i	0.0304041	+	0.0327678i	−0.717667	+	0.696387i	$0.754790\pi$
$62$	−5.02966	−	6.30699i	−0.638767	−	0.800989i
$63$	−2.39448	+	7.56746i	−0.301676	+	0.953410i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	3.65108	−	0.273610i	0.452861	−	0.0339372i
$66$	4.41585	−	2.38359i	0.543554	−	0.293399i
$67$	−7.17969	+	12.4356i	−0.877139	+	1.51925i	−0.0226714	+	0.999743i	$0.507217\pi$
$67$	−7.17969	+	12.4356i	−0.877139	+	1.51925i	−0.854467	+	0.519506i	$0.826116\pi$
$68$	−0.660083	−	1.14330i	−0.0800468	−	0.138645i
$69$	−0.703404	+	1.14155i	−0.0846799	+	0.137426i
$70$	−1.40835	−	3.11995i	−0.168330	−	0.372905i
$71$	5.66734	+	1.29353i	0.672589	+	0.153514i	0.545158	−	0.838333i	$-0.316470\pi$
$71$	5.66734	+	1.29353i	0.672589	+	0.153514i	0.127431	+	0.991847i	$0.459327\pi$
$72$	−2.85078	+	0.934375i	−0.335968	+	0.110117i
$73$	−6.12979	+	2.40576i	−0.717437	+	0.281573i	−0.695843	−	0.718193i	$-0.744969\pi$
$73$	−6.12979	+	2.40576i	−0.717437	+	0.281573i	−0.0215937	+	0.999767i	$0.506874\pi$
$74$	4.87605	−	1.91371i	0.566829	−	0.222464i
$75$	2.64716	−	5.11672i	0.305667	−	0.590827i
$76$	2.43292	+	0.555298i	0.279075	+	0.0636971i
$77$	0.189920	−	7.66291i	0.0216434	−	0.873269i
$78$	−4.17291	−	2.57128i	−0.472490	−	0.291141i
$79$	−4.93510	−	8.54785i	−0.555243	−	0.961708i	−0.997885	−	0.0650099i	$-0.979292\pi$
$79$	−4.93510	−	8.54785i	−0.555243	−	0.961708i	0.442642	−	0.896698i	$-0.354041\pi$
$80$	0.646902	−	1.12047i	0.0723259	−	0.125272i
$81$	−8.68785	−	2.34974i	−0.965317	−	0.261082i
$82$	−8.02051	+	0.601054i	−0.885718	+	0.0663754i
$83$	−3.79532	+	4.75918i	−0.416590	+	0.522387i	−0.945206	−	0.326473i	$-0.894140\pi$
$83$	−3.79532	+	4.75918i	−0.416590	+	0.522387i	0.528616	+	0.848861i	$0.322711\pi$
$84$	−0.923953	+	4.48846i	−0.100812	+	0.489732i
$85$	1.06494	+	1.33540i	0.115509	+	0.144844i
$86$	−0.972221	−	1.04780i	−0.104837	−	0.112988i
$87$	4.97933	+	3.60793i	0.533840	+	0.386811i
$88$	2.39378	−	1.63205i	0.255177	−	0.173977i
$89$	−14.4942	−	2.18465i	−1.53638	−	0.231572i	−0.674345	−	0.738416i	$-0.735574\pi$
$89$	−14.4942	−	2.18465i	−1.53638	−	0.231572i	−0.862038	+	0.506844i	$0.830812\pi$
$90$	3.46698	−	1.74512i	0.365452	−	0.183951i
$91$	−6.57484	+	3.58178i	−0.689230	+	0.375473i
$92$	−0.335890	+	0.697483i	−0.0350190	+	0.0727176i
$93$	−2.71784	−	13.7055i	−0.281827	−	1.42119i
$94$	1.91582	−	2.06476i	0.197602	−	0.212964i
$95$	−3.21965	−	0.241279i	−0.330329	−	0.0247547i
$96$	−1.58140	+	0.706520i	−0.161401	+	0.0721089i
$97$			7.81031i			0.793016i	0.918031	+	0.396508i	$0.129778\pi$
$97$			7.81031i			0.793016i	−0.918031	+	0.396508i	$0.870222\pi$
$98$	5.24989	+	4.63018i	0.530319	+	0.467719i
$99$	8.69025	−	0.152340i	0.873403	−	0.0153107i
$100$	1.21515	−	3.09615i	0.121515	−	0.309615i
$101$	0.861023	−	11.4895i	0.0856750	−	1.14325i	−0.774266	−	0.632860i	$-0.781881\pi$
$101$	0.861023	−	11.4895i	0.0856750	−	1.14325i	0.859941	−	0.510393i	$-0.170500\pi$
$102$	−0.105521	−	2.28416i	−0.0104481	−	0.226165i
$103$	−10.6566	+	15.6304i	−1.05003	+	1.54011i	−0.225536	+	0.974235i	$0.572413\pi$
$103$	−10.6566	+	15.6304i	−1.05003	+	1.54011i	−0.824492	+	0.565873i	$0.808539\pi$
$104$	−2.54964	−	1.22784i	−0.250012	−	0.120400i
$105$	0.316546	−	5.92050i	0.0308917	−	0.577782i
$106$	10.0442	−	4.83702i	0.975576	−	0.469813i
$107$	−2.36915	+	15.7183i	−0.229034	+	1.51954i	0.518361	+	0.855162i	$0.326542\pi$
$107$	−2.36915	+	15.7183i	−0.229034	+	1.51954i	−0.747395	+	0.664380i	$0.768696\pi$
$108$	−5.12920	−	0.831470i	−0.493557	−	0.0800082i
$109$	12.2248	−	1.84259i	1.17092	−	0.176488i	0.465349	−	0.885127i	$-0.345929\pi$
$109$	12.2248	−	1.84259i	1.17092	−	0.176488i	0.705570	+	0.708640i	$0.250691\pi$
$110$	−2.74778	+	2.54956i	−0.261990	+	0.243091i
$111$	9.02424	+	0.936771i	0.856543	+	0.0889144i
$112$	−0.263026	+	2.63264i	−0.0248537	+	0.248762i
$113$	9.31010	+	7.42455i	0.875820	+	0.698443i	0.954421	−	0.298463i	$-0.0964739\pi$
$113$	9.31010	+	7.42455i	0.875820	+	0.698443i	−0.0786010	+	0.996906i	$0.525045\pi$
$114$	3.30077	+	2.79057i	0.309146	+	0.261361i
$115$	0.295225	−	0.957098i	0.0275299	−	0.0892498i
$116$	3.07453	+	1.77508i	0.285463	+	0.164812i
$117$	−4.37304	−	7.27672i	−0.404287	−	0.672733i
$118$	9.97964	−	2.27779i	0.918700	−	0.209687i
$119$	−3.10842	−	1.59299i	−0.284948	−	0.146029i
$120$	1.88693	−	1.20883i	0.172253	−	0.110351i
$121$	2.49047	−	0.768208i	0.226406	−	0.0698371i
$122$	0.127549	+	0.324989i	0.0115477	+	0.0294231i
$123$	−12.8169	−	5.45873i	−1.15566	−	0.492198i
$124$	−2.37777	−	7.70855i	−0.213530	−	0.692249i
$125$	−2.39706	+	10.5022i	−0.214400	+	0.939347i
$126$	−4.99366	+	6.16955i	−0.444871	+	0.549627i
$127$	0.617514	+	2.70551i	0.0547955	+	0.240075i	0.994908	−	0.100790i	$-0.0321371\pi$
$127$	0.617514	+	2.70551i	0.0547955	+	0.240075i	−0.940112	+	0.340865i	$0.889280\pi$
$128$	−0.866025	+	0.500000i	−0.0765466	+	0.0441942i
$129$	−0.661704	−	2.38568i	−0.0582598	−	0.210047i
$130$	3.49865	+	1.07919i	0.306852	+	0.0946514i
$131$	1.08014	+	14.4135i	0.0943724	+	1.25931i	0.820458	+	0.571707i	$0.193719\pi$
$131$	1.08014	+	14.4135i	0.0943724	+	1.25931i	−0.726085	+	0.687605i	$0.758662\pi$
$132$	4.98142	−	0.605528i	0.433577	−	0.0527045i
$133$	6.20392	−	2.25912i	0.537948	−	0.195891i
$134$	−11.2266	+	8.95292i	−0.969832	+	0.773415i
$135$	6.72239	+	0.0746733i	0.578571	+	0.00642686i
$136$	−0.196760	−	1.30542i	−0.0168721	−	0.111939i
$137$	0.373128	+	0.547278i	0.0318784	+	0.0467571i	0.841847	−	0.539716i	$-0.181468\pi$
$137$	0.373128	+	0.547278i	0.0318784	+	0.0467571i	−0.809969	+	0.586473i	$0.800516\pi$
$138$	−1.07184	+	0.805656i	−0.0912407	+	0.0685820i
$139$	6.98615	+	14.5069i	0.592557	+	1.23046i	0.954487	+	0.298252i	$0.0964037\pi$
$139$	6.98615	+	14.5069i	0.592557	+	1.23046i	−0.361930	+	0.932205i	$0.617882\pi$
$140$	−0.171153	−	3.41880i	−0.0144651	−	0.288942i
$141$	4.59054	−	1.65160i	0.386594	−	0.139090i
$142$	4.80299	+	3.27463i	0.403058	+	0.274801i
$143$	6.01009	+	5.57655i	0.502589	+	0.466334i
$144$	−2.99508	−	0.171721i	−0.249590	−	0.0143101i
$145$	−4.27570	−	1.67809i	−0.355078	−	0.139358i
$146$	−6.58498			−0.544977
$147$	4.39119	+	11.3012i	0.362179	+	0.932109i
$148$	5.23814			0.430573
$149$	−8.31768	−	3.26445i	−0.681411	−	0.267434i	−0.000714456	−	1.00000i	$-0.500227\pi$
$149$	−8.31768	−	3.26445i	−0.681411	−	0.267434i	−0.680696	+	0.732566i	$0.738323\pi$
$150$	4.33351	−	3.79590i	0.353830	−	0.309934i
$151$	−7.22354	−	6.70246i	−0.587843	−	0.545439i	0.329183	−	0.944266i	$-0.393227\pi$
$151$	−7.22354	−	6.70246i	−0.587843	−	0.545439i	−0.917026	+	0.398828i	$0.869417\pi$
$152$	2.06187	+	1.40576i	0.167240	+	0.114022i
$153$	1.65559	−	3.59786i	0.133846	−	0.290869i
$154$	2.97637	−	7.06381i	0.239842	−	0.569218i
$155$	4.52847	+	9.40346i	0.363735	+	0.755304i
$156$	−2.94506	−	3.91808i	−0.235794	−	0.313697i
$157$	9.00626	+	13.2098i	0.718778	+	1.05425i	0.995634	+	0.0933425i	$0.0297551\pi$
$157$	9.00626	+	13.2098i	0.718778	+	1.05425i	−0.276856	+	0.960911i	$0.589292\pi$
$158$	−1.47108	−	9.75996i	−0.117033	−	0.776461i
$159$	19.3013	+	0.552860i	1.53069	+	0.0438447i
$160$	1.01154	−	0.806674i	0.0799690	−	0.0637732i
$161$	0.254994	+	2.03227i	0.0200963	+	0.160165i
$162$	−7.22883	−	5.36134i	−0.567951	−	0.421226i
$163$	−1.66351	−	22.1980i	−0.130296	−	1.73868i	−0.553676	−	0.832732i	$-0.686775\pi$
$163$	−1.66351	−	22.1980i	−0.130296	−	1.73868i	0.423379	−	0.905953i	$-0.360844\pi$
$164$	−7.68567	−	2.37072i	−0.600150	−	0.185122i
$165$	−6.25624	+	1.73526i	−0.487047	+	0.135090i
$166$	−5.27168	+	3.04361i	−0.409162	+	0.236230i
$167$	−2.07075	−	9.07257i	−0.160240	−	0.702056i	−0.989660	−	0.143432i	$-0.954186\pi$
$167$	−2.07075	−	9.07257i	−0.160240	−	0.702056i	0.829420	−	0.558625i	$-0.188671\pi$
$168$	−2.49990	+	3.84064i	−0.192872	+	0.296311i
$169$	−1.11077	+	4.86661i	−0.0854440	+	0.374354i
$170$	0.503453	+	1.63215i	0.0386131	+	0.125180i
$171$	2.85684	+	6.91994i	0.218468	+	0.529181i
$172$	−0.522209	−	1.33057i	−0.0398180	−	0.101455i
$173$	12.0223	−	3.70839i	0.914038	−	0.281943i	0.198161	−	0.980170i	$-0.436503\pi$
$173$	12.0223	−	3.70839i	0.914038	−	0.281943i	0.715877	+	0.698226i	$0.246027\pi$
$174$	3.31700	+	5.17768i	0.251461	+	0.392519i
$175$	−1.74500	−	8.62520i	−0.131910	−	0.652004i
$176$	2.82456	−	0.644687i	0.212909	−	0.0485951i
$177$	17.1652	+	4.43854i	1.29022	+	0.333621i
$178$	−12.6941	−	7.32896i	−0.951466	−	0.549329i
$179$	−5.00703	+	16.2324i	−0.374243	+	1.21327i	0.551198	+	0.834374i	$0.314171\pi$
$179$	−5.00703	+	16.2324i	−0.374243	+	1.21327i	−0.925441	+	0.378891i	$0.876305\pi$
$180$	3.86488	−	0.357854i	0.288071	−	0.0266729i
$181$	5.64273	+	4.49993i	0.419421	+	0.334477i	0.810353	−	0.585943i	$-0.199276\pi$
$181$	5.64273	+	4.49993i	0.419421	+	0.334477i	−0.390931	+	0.920420i	$0.627847\pi$
$182$	−7.42892	+	0.932126i	−0.550668	+	0.0690938i
$183$	−0.0624358	+	0.601465i	−0.00461539	+	0.0444616i
$184$	−0.567490	+	0.526554i	−0.0418359	+	0.0388181i
$185$	−6.70144	+	1.01008i	−0.492700	+	0.0742625i
$186$	2.47721	−	13.7510i	0.181638	−	1.00827i
$187$	−0.570054	+	3.78206i	−0.0416865	+	0.276572i
$188$	2.53773	−	1.22211i	0.185083	−	0.0891313i
$189$	−12.5923	+	5.51666i	−0.915956	+	0.401278i
$190$	−2.90893	−	1.40087i	−0.211036	−	0.101630i
$191$	−4.92920	+	7.22980i	−0.356664	+	0.523130i	−0.962076	−	0.272782i	$-0.912056\pi$
$191$	−4.92920	+	7.22980i	−0.356664	+	0.523130i	0.605412	+	0.795913i	$0.293009\pi$
$192$	−1.73021	+	0.0799300i	−0.124867	+	0.00576845i
$193$	1.27863	−	17.0622i	0.0920380	−	1.22816i	−0.739678	−	0.672960i	$-0.765022\pi$
$193$	1.27863	−	17.0622i	0.0920380	−	1.22816i	0.831716	−	0.555201i	$-0.187359\pi$
$194$	−2.85343	+	7.27041i	−0.204864	+	0.521985i
$195$	4.52330	+	4.44471i	0.323921	+	0.318292i
$196$	3.19539	+	6.22812i	0.228242	+	0.444866i
$197$			23.2610i			1.65728i	0.559783	+	0.828639i	$0.310885\pi$
$197$			23.2610i			1.65728i	−0.559783	+	0.828639i	$0.689115\pi$
$198$	8.14518	+	3.03310i	0.578853	+	0.215553i
$199$	0.712788	+	0.0534161i	0.0505282	+	0.00378657i	0.0999702	−	0.994990i	$-0.468125\pi$
$199$	0.712788	+	0.0534161i	0.0505282	+	0.00378657i	−0.0494420	+	0.998777i	$0.515744\pi$
$200$	2.26230	−	2.43818i	0.159969	−	0.172405i
$201$	−24.3961	+	4.83783i	−1.72077	+	0.341234i
$202$	4.99911	−	10.3808i	0.351736	−	0.730387i
$203$	9.38109	−	0.469639i	0.658423	−	0.0329622i
$204$	0.736270	−	2.16481i	0.0515492	−	0.151567i
$205$	10.2898	+	1.55095i	0.718674	+	0.108323i
$206$	−15.6304	+	10.6566i	−1.08902	+	0.742482i
$207$	−2.29008	+	0.386340i	−0.159172	+	0.0268525i
$208$	−1.92481	−	2.07445i	−0.133462	−	0.143837i
$209$	−4.50778	−	5.65258i	−0.311810	−	0.390997i
$210$	2.45767	−	5.39559i	0.169595	−	0.372331i
$211$	−14.1495	+	17.7429i	−0.974092	+	1.22147i	0.00107402	+	0.999999i	$0.499658\pi$
$211$	−14.1495	+	17.7429i	−0.974092	+	1.22147i	−0.975166	+	0.221474i	$0.928913\pi$
$212$	11.1170	−	0.833105i	0.763520	−	0.0572179i
$213$	4.78255	+	8.86019i	0.327695	+	0.607090i
$214$	−7.94790	+	13.7662i	−0.543307	+	0.941036i
$215$	0.924665	+	1.60157i	0.0630616	+	0.109226i
$216$	−4.47086	−	2.64790i	−0.304204	−	0.180167i
$217$	−16.3519	−	13.7166i	−1.11004	−	0.931142i
$218$	12.0529	+	2.75099i	0.816324	+	0.186321i
$219$	−10.1301	−	5.24086i	−0.684530	−	0.354145i
$220$	−3.48929	+	1.36945i	−0.235248	+	0.0923281i
$221$	3.47766	−	1.36488i	0.233933	−	0.0918120i
$222$	8.05818	+	4.16894i	0.540830	+	0.279801i
$223$	−10.5052	−	2.39774i	−0.703479	−	0.160564i	−0.144205	−	0.989548i	$-0.546063\pi$
$223$	−10.5052	−	2.39774i	−0.703479	−	0.160564i	−0.559273	+	0.828983i	$0.688920\pi$
$224$	−1.20666	+	2.35457i	−0.0806232	+	0.157321i
$225$	9.68762	−	2.39052i	0.645841	−	0.159368i
$226$	5.95403	+	10.3127i	0.396056	+	0.685989i
$227$	4.13009	−	7.15352i	0.274123	−	0.474796i	−0.695790	−	0.718245i	$-0.744946\pi$
$227$	4.13009	−	7.15352i	0.274123	−	0.474796i	0.969914	+	0.243449i	$0.0782790\pi$
$228$	2.05309	+	3.80357i	0.135969	+	0.251898i
$229$	23.5293	−	1.76328i	1.55486	−	0.116521i	0.730629	−	0.682774i	$-0.239227\pi$
$229$	23.5293	−	1.76328i	1.55486	−	0.116521i	0.824231	+	0.566254i	$0.191608\pi$
$230$	0.624485	−	0.783079i	0.0411773	−	0.0516347i
$231$	10.2007	−	8.49790i	0.671157	−	0.559121i
$232$	2.21349	+	2.77563i	0.145323	+	0.182229i
$233$	4.50827	+	4.85876i	0.295347	+	0.318308i	0.863240	−	0.504795i	$-0.168432\pi$
$233$	4.50827	+	4.85876i	0.295347	+	0.318308i	−0.567893	+	0.823102i	$0.692241\pi$
$234$	−1.41226	−	8.37136i	−0.0923223	−	0.547253i
$235$	−3.01100	+	2.05286i	−0.196416	+	0.133914i
$236$	10.1220	+	1.52564i	0.658883	+	0.0993107i
$237$	5.50472	−	16.1852i	0.357570	−	1.05134i
$238$	−2.31156	−	2.61850i	−0.149836	−	0.169732i
$239$	11.3297	−	23.5264i	0.732859	−	1.52180i	−0.116042	−	0.993244i	$-0.537021\pi$
$239$	11.3297	−	23.5264i	0.732859	−	1.52180i	0.848901	−	0.528553i	$-0.177265\pi$
$240$	2.19813	−	0.435897i	0.141889	−	0.0281370i
$241$	14.0126	−	15.1020i	0.902632	−	0.972806i	−0.0971156	−	0.995273i	$-0.530962\pi$
$241$	14.0126	−	15.1020i	0.902632	−	0.972806i	0.999748	+	0.0224672i	$0.00715213\pi$
$242$	2.59897	+	0.194766i	0.167068	+	0.0125200i
$243$	−6.85361	−	14.0010i	−0.439659	−	0.898165i
$244$			0.349122i			0.0223503i
$245$	−5.28902	−	7.35180i	−0.337903	−	0.469689i
$246$	−9.93658	−	9.76392i	−0.633533	−	0.622525i
$247$	−2.58002	+	6.57377i	−0.164162	+	0.418279i
$248$	0.602844	−	8.04439i	0.0382806	−	0.510819i
$249$	−10.5321	+	0.486551i	−0.667447	+	0.0308339i
$250$	−6.06826	+	8.90050i	−0.383790	+	0.562917i
$251$	−13.3088	−	6.40917i	−0.840042	−	0.404543i	−0.0361704	−	0.999346i	$-0.511516\pi$
$251$	−13.3088	−	6.40917i	−0.840042	−	0.404543i	−0.803872	+	0.594803i	$0.797230\pi$
$252$	−6.90246	+	3.91868i	−0.434814	+	0.246854i
$253$	2.02074	−	0.973139i	0.127043	−	0.0611807i
$254$	−0.413605	+	2.74409i	−0.0259519	+	0.172179i
$255$	−0.524506	+	2.91154i	−0.0328458	+	0.182328i
$256$	−0.988831	+	0.149042i	−0.0618019	+	0.00931514i
$257$	0.461745	−	0.428436i	0.0288028	−	0.0267251i	−0.665640	−	0.746273i	$-0.731841\pi$
$257$	0.461745	−	0.428436i	0.0288028	−	0.0267251i	0.694443	+	0.719548i	$0.255651\pi$
$258$	0.255624	−	2.46252i	0.0159145	−	0.153309i
$259$	11.6406	−	7.52084i	0.723312	−	0.467323i
$260$	2.86253	+	2.28279i	0.177527	+	0.141573i
$261$	0.981940	+	10.6051i	0.0607806	+	0.656440i
$262$	−4.26036	+	13.8118i	−0.263206	+	0.853293i
$263$	12.7089	+	7.33750i	0.783666	+	0.452450i	0.837728	−	0.546088i	$-0.183884\pi$
$263$	12.7089	+	7.33750i	0.783666	+	0.452450i	−0.0540621	+	0.998538i	$0.517217\pi$
$264$	4.85830	+	1.25625i	0.299008	+	0.0773167i
$265$	−14.0619	+	3.20955i	−0.863819	+	0.197161i
$266$	6.60041	+	0.163587i	0.404697	+	0.0100302i
$267$	−13.6953	−	21.3777i	−0.838136	−	1.30829i
$268$	−13.7214	+	4.23250i	−0.838170	+	0.258541i
$269$	−7.86073	−	20.0288i	−0.479277	−	1.22118i	−0.942281	−	0.334822i	$-0.891324\pi$
$269$	−7.86073	−	20.0288i	−0.479277	−	1.22118i	0.463004	−	0.886356i	$-0.346771\pi$
$270$	6.23042	+	2.52548i	0.379171	+	0.153696i
$271$	−2.94524	−	9.54825i	−0.178911	−	0.580015i	−0.999958	−	0.00915442i	$-0.997086\pi$
$271$	−2.94524	−	9.54825i	−0.178911	−	0.580015i	0.821047	−	0.570860i	$-0.193390\pi$
$272$	0.293765	−	1.28707i	0.0178121	−	0.0780399i
$273$	−12.1703	−	4.47858i	−0.736578	−	0.271056i
$274$	0.147392	+	0.645765i	0.00890426	+	0.0390121i
$275$	−8.34526	+	4.81814i	−0.503238	+	0.290545i
$276$	−1.29208	+	0.358378i	−0.0777742	+	0.0215718i
$277$	8.92956	+	2.75440i	0.536525	+	0.165496i	0.551164	−	0.834397i	$-0.314184\pi$
$277$	8.92956	+	2.75440i	0.536525	+	0.165496i	−0.0146391	+	0.999893i	$0.504660\pi$
$278$	1.20326	+	16.0564i	0.0721668	+	0.962999i
$279$	14.7550	−	19.1825i	0.883360	−	1.14843i
$280$	1.08971	−	3.24500i	0.0651225	−	0.193926i
$281$	−14.7596	+	11.7704i	−0.880482	+	0.702161i	−0.955490	−	0.295022i	$-0.904673\pi$
$281$	−14.7596	+	11.7704i	−0.880482	+	0.702161i	0.0750088	+	0.997183i	$0.476102\pi$
$282$	4.87661	+	0.139684i	0.290398	+	0.00831807i
$283$	−2.08168	−	13.8110i	−0.123743	−	0.820982i	−0.961474	−	0.274898i	$-0.911356\pi$
$283$	−2.08168	−	13.8110i	−0.123743	−	0.820982i	0.837730	−	0.546084i	$-0.183882\pi$
$284$	3.27463	+	4.80299i	0.194313	+	0.285005i
$285$	−3.36008	−	4.47022i	−0.199034	−	0.264793i
$286$	3.55729	+	7.38680i	0.210347	+	0.436790i
$287$	−20.4836	+	5.76658i	−1.20911	+	0.340391i
$288$	−2.72531	−	1.25408i	−0.160590	−	0.0738972i
$289$	−12.6061	−	8.59467i	−0.741533	−	0.505569i
$290$	−3.36706	−	3.12418i	−0.197721	−	0.183458i
$291$	−10.1760	+	8.91357i	−0.596528	+	0.522523i
$292$	−6.12979	−	2.40576i	−0.358719	−	0.140787i
$293$	9.24274			0.539967			0.269983	−	0.962865i	$-0.412982\pi$
$293$	9.24274			0.539967			0.269983	+	0.962865i	$0.412982\pi$
$294$	−0.0411574	+	12.1243i	−0.00240035	+	0.707103i
$295$	−13.2438			−0.771081
$296$	4.87605	+	1.91371i	0.283415	+	0.111232i
$297$	10.1163	+	11.1486i	0.587007	+	0.646908i
$298$	−6.55007	−	6.07758i	−0.379435	−	0.352065i
$299$	−1.81008	−	1.23409i	−0.104680	−	0.0713694i
$300$	5.42075	−	1.95029i	0.312967	−	0.112600i
$301$	−3.07090	−	2.20711i	−0.177004	−	0.127216i
$302$	−4.27552	−	8.87820i	−0.246028	−	0.510883i
$303$	15.9523	−	11.9907i	0.916436	−	0.688848i
$304$	1.40576	+	2.06187i	0.0806258	+	0.118256i
$305$	−0.0673218	−	0.446651i	−0.00385483	−	0.0255751i
$306$	2.85559	−	2.74429i	0.163243	−	0.156881i
$307$	5.22549	−	4.16719i	0.298235	−	0.237834i	−0.462927	−	0.886396i	$-0.653201\pi$
$307$	5.22549	−	4.16719i	0.298235	−	0.237834i	0.761162	+	0.648562i	$0.224629\pi$
$308$	5.35132	−	5.48813i	0.304920	−	0.312715i
$309$	−32.5267	+	3.95386i	−1.85038	+	0.224927i
$310$	0.779962	+	10.4079i	0.0442989	+	0.591127i
$311$	−20.1962	−	6.22970i	−1.14522	−	0.353254i	−0.336637	−	0.941635i	$-0.609289\pi$
$311$	−20.1962	−	6.22970i	−1.14522	−	0.353254i	−0.808584	+	0.588381i	$0.799766\pi$
$312$	−1.31005	−	4.72319i	−0.0741667	−	0.267398i
$313$	23.2912	−	13.4472i	1.31649	−	0.760078i	0.333331	−	0.942810i	$-0.391827\pi$
$313$	23.2912	−	13.4472i	1.31649	−	0.760078i	0.983163	+	0.182732i	$0.0584940\pi$
$314$	3.55763	+	15.5870i	0.200768	+	0.879624i
$315$	8.07504	−	6.34439i	0.454977	−	0.357466i
$316$	2.19633	−	9.62274i	0.123553	−	0.541321i
$317$	−10.1443	−	32.8870i	−0.569761	−	1.84712i	−0.530149	−	0.847904i	$-0.677864\pi$
$317$	−10.1443	−	32.8870i	−0.569761	−	1.84712i	−0.0396116	−	0.999215i	$-0.512612\pi$
$318$	17.7651	+	7.56620i	0.996217	+	0.424292i
$319$	−3.75772	−	9.57450i	−0.210392	−	0.536069i
$320$	1.23632	−	0.381356i	0.0691126	−	0.0213184i
$321$	−23.1830	+	14.8518i	−1.29395	+	0.828949i
$322$	−0.505103	+	1.98494i	−0.0281483	+	0.110617i
$323$	−3.21186	+	0.733086i	−0.178713	+	0.0407900i
$324$	−4.77042	−	7.63172i	−0.265023	−	0.423984i
$325$	8.15137	+	4.70619i	0.452156	+	0.261053i
$326$	6.56133	−	21.2713i	0.363399	−	1.17811i
$327$	16.3523	+	13.8247i	0.904283	+	0.764507i
$328$	−6.28827	−	5.01473i	−0.347212	−	0.276892i
$329$	3.88486	−	6.35950i	0.214179	−	0.350610i
$330$	−6.45773	−	0.670352i	−0.355486	−	0.0369017i
$331$	−6.81017	+	6.31891i	−0.374321	+	0.347319i	−0.844790	−	0.535097i	$-0.820275\pi$
$331$	−6.81017	+	6.31891i	−0.374321	+	0.347319i	0.470470	+	0.882416i	$0.344084\pi$
$332$	−6.01923	+	0.907252i	−0.330348	+	0.0497919i
$333$	9.07846	+	12.8267i	0.497497	+	0.702900i
$334$	1.38697	−	9.20195i	0.0758916	−	0.503508i
$335$	16.7384	−	8.06079i	0.914517	−	0.440408i
$336$	−3.73024	+	2.66183i	−0.203501	+	0.145215i
$337$	−12.9754	−	6.24860i	−0.706813	−	0.340383i	0.0457049	−	0.998955i	$-0.485447\pi$
$337$	−12.9754	−	6.24860i	−0.706813	−	0.340383i	−0.752518	+	0.658572i	$0.771161\pi$
$338$	−2.81196	+	4.12439i	−0.152950	+	0.224337i
$339$	0.951811	+	20.6034i	0.0516953	+	1.11902i
$340$	−0.127642	+	1.70326i	−0.00692235	+	0.0923723i
$341$	−8.53857	+	21.7559i	−0.462390	+	1.17815i
$342$	0.131217	+	7.48531i	0.00709541	+	0.404759i
$343$	16.0433	+	9.25272i	0.866256	+	0.499600i
$344$		−	1.42937i		−	0.0770666i
$345$	1.58392	−	0.707647i	0.0852756	−	0.0380984i
$346$	12.5461	+	0.940197i	0.674480	+	0.0505453i
$347$	−2.78802	+	3.00477i	−0.149669	+	0.161304i	−0.803436	−	0.595391i	$-0.796997\pi$
$347$	−2.78802	+	3.00477i	−0.149669	+	0.161304i	0.653767	+	0.756696i	$0.273188\pi$
$348$	1.19609	+	6.03160i	0.0641170	+	0.323328i
$349$	4.37871	−	9.09248i	0.234387	−	0.486709i	−0.750288	−	0.661111i	$-0.770085\pi$
$349$	4.37871	−	9.09248i	0.234387	−	0.486709i	0.984674	+	0.174402i	$0.0557993\pi$
$350$	1.52676	−	8.66650i	0.0816088	−	0.463244i
$351$	4.49003	−	14.0022i	0.239660	−	0.747383i
$352$	2.86484	+	0.431805i	0.152696	+	0.0230153i
$353$	23.2977	−	15.8841i	1.24001	−	0.845427i	0.247659	−	0.968847i	$-0.420339\pi$
$353$	23.2977	−	15.8841i	1.24001	−	0.845427i	0.992354	+	0.123421i	$0.0393865\pi$
$354$	14.3571	+	10.4029i	0.763069	+	0.552906i
$355$	−5.11558	−	5.51328i	−0.271507	−	0.292614i
$356$	−9.13907	−	11.4600i	−0.484370	−	0.607380i
$357$	−1.47201	−	5.86795i	−0.0779070	−	0.310565i
$358$	−10.5913	+	13.2810i	−0.559766	+	0.701924i
$359$	−22.7631	+	1.70586i	−1.20139	+	0.0900317i	−0.660345	−	0.750962i	$-0.729590\pi$
$359$	−22.7631	+	1.70586i	−1.20139	+	0.0900317i	−0.541044	+	0.840994i	$0.681971\pi$
$360$	3.72846	+	1.07888i	0.196507	+	0.0568621i
$361$	−6.38627	+	11.0613i	−0.336120	+	0.582176i
$362$	3.60866	+	6.25039i	0.189667	+	0.328513i
$363$	3.84316	+	2.36809i	0.201713	+	0.124293i
$364$	−7.25593	−	1.84640i	−0.380314	−	0.0967775i
$365$	8.30607	+	1.89581i	0.434760	+	0.0992311i
$366$	−0.277860	+	0.537078i	−0.0145240	+	0.0280735i
$367$	−4.97928	+	1.95422i	−0.259916	+	0.102010i	−0.491721	−	0.870753i	$-0.663632\pi$
$367$	−4.97928	+	1.95422i	−0.259916	+	0.102010i	0.231805	+	0.972762i	$0.425537\pi$
$368$	−0.720634	+	0.282828i	−0.0375656	+	0.0147434i
$369$	−7.51518	−	22.9288i	−0.391225	−	1.19363i
$370$	−6.60722	−	1.50805i	−0.343493	−	0.0784000i
$371$	23.5089	−	17.8130i	1.22052	−	0.924806i
$372$	7.32977	−	11.8954i	0.380031	−	0.616749i
$373$	10.4180	+	18.0445i	0.539424	+	0.934309i	0.998935	+	0.0461373i	$0.0146912\pi$
$373$	10.4180	+	18.0445i	0.539424	+	0.934309i	−0.459512	+	0.888172i	$0.651976\pi$
$374$	−1.91239	+	3.31236i	−0.0988873	+	0.171278i
$375$	−16.4189	+	8.86262i	−0.847871	+	0.457664i
$376$	2.80879	−	0.210490i	0.144852	−	0.0108552i
$377$	−6.26391	+	7.85469i	−0.322608	+	0.404537i
$378$	−13.7373	+	0.534828i	−0.706571	+	0.0275086i
$379$	−0.645324	−	0.809211i	−0.0331481	−	0.0415664i	0.764981	−	0.644053i	$-0.222748\pi$
$379$	−0.645324	−	0.809211i	−0.0331481	−	0.0415664i	−0.798129	+	0.602486i	$0.794177\pi$
$380$	−2.19606	−	2.36679i	−0.112655	−	0.121414i
$381$	−2.82025	+	3.89224i	−0.144486	+	0.199405i
$382$	−7.22980	+	4.92920i	−0.369909	+	0.252200i
$383$	12.2208	+	1.84198i	0.624452	+	0.0941210i	0.453643	−	0.891183i	$-0.350124\pi$
$383$	12.2208	+	1.84198i	0.624452	+	0.0941210i	0.170808	+	0.985304i	$0.445362\pi$
$384$	−1.63980	−	0.557710i	−0.0836809	−	0.0284605i
$385$	−5.78795	+	8.05316i	−0.294981	+	0.410427i
$386$	7.42375	−	15.4156i	0.377859	−	0.784632i
$387$	2.35311	−	3.58481i	0.119615	−	0.182226i
$388$	−5.31236	+	5.72536i	−0.269694	+	0.290661i
$389$	5.94707	+	0.445671i	0.301528	+	0.0225964i	0.224635	−	0.974443i	$-0.427881\pi$
$389$	5.94707	+	0.445671i	0.301528	+	0.0225964i	0.0768931	+	0.997039i	$0.475500\pi$
$390$	2.58679	+	5.79001i	0.130987	+	0.293189i
$391$		−	1.02200i		−	0.0516849i
$392$	0.699120	+	6.96500i	0.0353109	+	0.351786i
$393$	−17.5465	+	17.8568i	−0.885105	+	0.900757i
$394$	−8.49820	+	21.6531i	−0.428133	+	1.09087i
$395$	−0.954312	+	12.7344i	−0.0480167	+	0.640738i
$396$	6.47402	+	5.79920i	0.325332	+	0.291421i
$397$	6.28414	−	9.21714i	0.315392	−	0.462595i	−0.635508	−	0.772095i	$-0.719209\pi$
$397$	6.28414	−	9.21714i	0.315392	−	0.462595i	0.950900	+	0.309500i	$0.100162\pi$
$398$	0.644001	+	0.310134i	0.0322808	+	0.0155456i
$399$	10.0237	+	5.50480i	0.501811	+	0.275585i
$400$	2.99668	−	1.44313i	0.149834	−	0.0721564i
$401$	−3.51577	+	23.3256i	−0.175569	+	1.16483i	0.711329	+	0.702859i	$0.248094\pi$
$401$	−3.51577	+	23.3256i	−0.175569	+	1.16483i	−0.886898	+	0.461966i	$0.847144\pi$
$402$	−24.4772	−	4.40949i	−1.22081	−	0.219925i
$403$	22.5735	−	3.40241i	1.12447	−	0.169486i
$404$	8.44605	−	7.83679i	0.420207	−	0.389895i
$405$	7.57469	+	8.84378i	0.376389	+	0.439451i
$406$	8.90419	+	2.99012i	0.441907	+	0.148397i
$407$	−11.8650	−	9.46203i	−0.588127	−	0.469016i
$408$	1.47627	−	1.74618i	0.0730862	−	0.0864487i
$409$	2.20649	−	7.15327i	0.109104	−	0.353706i	−0.884513	−	0.466516i	$-0.845509\pi$
$409$	2.20649	−	7.15327i	0.109104	−	0.353706i	0.993617	+	0.112810i	$0.0359851\pi$
$410$	9.01193	+	5.20304i	0.445067	+	0.256960i
$411$	−0.287210	+	1.11073i	−0.0141670	+	0.0547883i
$412$	−18.4432	+	4.20955i	−0.908632	+	0.207389i
$413$	24.6843	−	11.1426i	1.21463	−	0.548289i
$414$	−2.27292	−	0.477027i	−0.111708	−	0.0234446i
$415$	7.52577	−	2.32139i	0.369426	−	0.113953i
$416$	−1.03387	−	2.63426i	−0.0506898	−	0.129155i
$417$	−10.9279	+	25.6583i	−0.535143	+	1.25649i
$418$	−2.13105	−	6.90871i	−0.104233	−	0.337916i
$419$	4.93970	−	21.6422i	0.241320	−	1.05729i	−0.698496	−	0.715614i	$-0.746147\pi$
$419$	4.93970	−	21.6422i	0.241320	−	1.05729i	0.939817	−	0.341679i	$-0.110996\pi$
$420$	4.25901	−	4.12473i	0.207818	−	0.201266i
$421$	−0.941930	−	4.12686i	−0.0459069	−	0.201131i	0.946774	−	0.321899i	$-0.104321\pi$
$421$	−0.941930	−	4.12686i	−0.0459069	−	0.201131i	−0.992681	+	0.120768i	$0.961464\pi$
$422$	−19.6536	+	11.3470i	−0.956723	+	0.552365i
$423$	7.39085	+	4.09609i	0.359355	+	0.199159i
$424$	10.6529	+	3.28599i	0.517351	+	0.159582i
$425$	0.328137	+	4.37868i	0.0159170	+	0.212397i
$426$	1.21496	+	9.99498i	0.0588651	+	0.484258i
$427$	0.501264	+	0.775847i	0.0242579	+	0.0375459i
$428$	−12.4278	+	9.91087i	−0.600722	+	0.479060i
$429$	−0.406591	+	14.1948i	−0.0196304	+	0.685331i
$430$	0.275628	+	1.82867i	0.0132920	+	0.0881865i
$431$	4.20777	+	6.17166i	0.202681	+	0.297278i	0.914099	−	0.405490i	$-0.132899\pi$
$431$	4.20777	+	6.17166i	0.202681	+	0.297278i	−0.711418	+	0.702769i	$0.751947\pi$
$432$	−3.19442	−	4.09825i	−0.153692	−	0.197177i
$433$	−1.93274	−	4.01337i	−0.0928814	−	0.192870i	0.849352	−	0.527826i	$-0.176993\pi$
$433$	−1.93274	−	4.01337i	−0.0928814	−	0.192870i	−0.942234	+	0.334956i	$0.891279\pi$
$434$	−10.2103	−	18.7424i	−0.490111	−	0.899665i
$435$	−2.69330	−	7.48591i	−0.129134	−	0.358922i
$436$	10.2147	+	6.96423i	0.489193	+	0.333526i
$437$	1.41616	+	1.31401i	0.0677443	+	0.0628576i
$438$	−7.51516	−	8.57953i	−0.359088	−	0.409946i
$439$	36.3023	+	14.2476i	1.73261	+	0.680001i	1.00000		0.000641965i	$-0.000204344\pi$
$439$	36.3023	+	14.2476i	1.73261	+	0.680001i	0.732615	+	0.680643i	$0.238300\pi$
$440$	−3.74841			−0.178698
$441$	−9.71281	+	18.6188i	−0.462515	+	0.886612i
$442$	3.73591			0.177699
$443$	−35.6110	−	13.9763i	−1.69193	−	0.664033i	−0.693520	−	0.720437i	$-0.743941\pi$
$443$	−35.6110	−	13.9763i	−1.69193	−	0.664033i	−0.998408	+	0.0564039i	$0.982037\pi$
$444$	5.97807	+	6.82474i	0.283707	+	0.323888i
$445$	13.9020	+	12.8991i	0.659016	+	0.611477i
$446$	−8.90300	−	6.06996i	−0.421569	−	0.287421i
$447$	−5.23938	−	14.5626i	−0.247814	−	0.688789i
$448$	−1.98347	+	1.75096i	−0.0937099	+	0.0827252i
$449$	9.71661	+	20.1767i	0.458555	+	0.952199i	0.994179	+	0.107743i	$0.0343622\pi$
$449$	9.71661	+	20.1767i	0.458555	+	0.952199i	−0.535624	+	0.844457i	$0.679923\pi$
$450$	9.89131	+	1.31401i	0.466281	+	0.0619430i
$451$	13.1266	+	19.2531i	0.618106	+	0.906595i
$452$	1.77480	+	11.7751i	0.0834798	+	0.553852i
$453$	0.488682	−	17.0607i	0.0229603	−	0.801583i
$454$	6.45806	−	5.15013i	0.303092	−	0.241708i
$455$	9.63894	+	0.963023i	0.451881	+	0.0451472i
$456$	0.521569	+	4.29073i	0.0244247	+	0.200932i
$457$	−0.440824	−	5.88239i	−0.0206209	−	0.275167i	−0.997978	−	0.0635679i	$-0.979752\pi$
$457$	−0.440824	−	5.88239i	−0.0206209	−	0.275167i	0.977357	−	0.211599i	$-0.0678670\pi$
$458$	22.5470	+	6.95483i	1.05355	+	0.324978i
$459$	6.57708	−	1.94902i	0.306992	−	0.0909726i
$460$	0.867407	−	0.500798i	0.0404431	−	0.0233498i
$461$	6.52112	+	28.5709i	0.303719	+	1.33068i	0.864466	+	0.502692i	$0.167657\pi$
$461$	6.52112	+	28.5709i	0.303719	+	1.33068i	−0.560747	+	0.827987i	$0.689486\pi$
$462$	12.6002	−	4.18374i	0.586214	−	0.194645i
$463$	3.99301	−	17.4945i	0.185571	−	0.813039i	−0.793345	−	0.608773i	$-0.791662\pi$
$463$	3.99301	−	17.4945i	0.185571	−	0.813039i	0.978915	−	0.204266i	$-0.0654808\pi$
$464$	1.04643	+	3.39243i	0.0485792	+	0.157490i
$465$	−7.08356	+	16.6319i	−0.328492	+	0.771285i
$466$	2.42153	+	6.16995i	0.112175	+	0.285817i
$467$	20.5922	−	6.35185i	0.952892	−	0.293928i	0.220942	−	0.975287i	$-0.429087\pi$
$467$	20.5922	−	6.35185i	0.952892	−	0.293928i	0.731950	+	0.681358i	$0.238611\pi$
$468$	1.74376	−	8.30864i	0.0806056	−	0.384067i
$469$	−24.4159	+	29.1068i	−1.12742	+	1.34403i
$470$	−3.55285	+	0.810915i	−0.163881	+	0.0374047i
$471$	−6.93245	+	26.8099i	−0.319431	+	1.23534i
$472$	8.86488	+	5.11814i	0.408039	+	0.235582i
$473$	−1.22063	+	3.95719i	−0.0561247	+	0.181952i
$474$	11.0373	−	13.0553i	0.506961	−	0.599649i
$475$	−6.48933	−	5.17507i	−0.297751	−	0.237448i
$476$	−1.19512	−	3.28200i	−0.0547784	−	0.150430i
$477$	21.3074	+	25.7785i	0.975601	+	1.18032i
$478$	19.1417	−	17.7609i	0.875521	−	0.812365i
$479$	−20.1754	+	3.04095i	−0.921836	+	0.138944i	−0.592778	−	0.805366i	$-0.701969\pi$
$479$	−20.1754	+	3.04095i	−0.921836	+	0.138944i	−0.329057	+	0.944310i	$0.606731\pi$
$480$	2.20543	+	0.397303i	0.100664	+	0.0181343i
$481$	−2.20930	+	14.6578i	−0.100736	+	0.668337i
$482$	18.5614	−	8.93868i	0.845447	−	0.407146i
$483$	−2.35681	+	2.65157i	−0.107239	+	0.120651i
$484$	2.34816	+	1.13081i	0.106734	+	0.0514006i
$485$	5.69236	−	8.34915i	0.258477	−	0.379115i
$486$	−1.26471	−	15.5371i	−0.0573683	−	0.704776i
$487$	−1.06600	+	14.2248i	−0.0483053	+	0.644589i	0.919533	+	0.393014i	$0.128568\pi$
$487$	−1.06600	+	14.2248i	−0.0483053	+	0.644589i	−0.967838	+	0.251575i	$0.919051\pi$
$488$	−0.127549	+	0.324989i	−0.00577386	+	0.0147115i
$489$	27.0232	−	27.5011i	1.22203	−	1.24364i
$490$	−2.23749	−	8.77589i	−0.101080	−	0.396454i
$491$		−	26.2846i		−	1.18621i	−0.805126	−	0.593104i	$-0.797902\pi$
$491$		−	26.2846i		−	1.18621i	0.805126	−	0.593104i	$-0.202098\pi$
$492$	−5.68254	−	12.7192i	−0.256189	−	0.573426i
$493$	−4.67369	−	0.350245i	−0.210492	−	0.0157742i
$494$	−4.80334	+	5.17677i	−0.216112	+	0.232914i
$495$	−9.40084	−	6.17083i	−0.422536	−	0.277358i
$496$	3.50012	−	7.26807i	0.157160	−	0.326346i
$497$	14.1732	+	5.97193i	0.635755	+	0.267878i
$498$	−9.98184	−	3.39490i	−0.447297	−	0.152129i
$499$	−13.9176	−	2.09774i	−0.623038	−	0.0939079i	−0.170066	−	0.985433i	$-0.554398\pi$
$499$	−13.9176	−	2.09774i	−0.623038	−	0.0939079i	−0.452972	+	0.891525i	$0.649636\pi$
$500$	−8.90050	+	6.06826i	−0.398042	+	0.271381i
$501$	9.45733	−	13.0521i	0.422522	−	0.583125i
$502$	−10.0473	−	10.8284i	−0.448431	−	0.483294i
$503$	−1.62050	−	2.03205i	−0.0722547	−	0.0906045i	0.744391	−	0.667745i	$-0.232740\pi$
$503$	−1.62050	−	2.03205i	−0.0722547	−	0.0906045i	−0.816645	+	0.577140i	$0.804169\pi$
$504$	−7.85697	+	1.12604i	−0.349977	+	0.0501580i
$505$	−9.29431	+	11.6547i	−0.413591	+	0.518627i
$506$	2.23659	−	0.167609i	0.0994283	−	0.00745112i
$507$	−7.60835	+	4.10683i	−0.337899	+	0.182391i
$508$	−1.38754	+	2.40329i	−0.0615622	+	0.106629i
$509$	1.69918	+	2.94307i	0.0753150	+	0.130449i	0.901223	−	0.433355i	$-0.142670\pi$
$509$	1.69918	+	2.94307i	0.0753150	+	0.130449i	−0.825908	+	0.563805i	$0.809337\pi$
$510$	−1.55195	+	2.51865i	−0.0687216	+	0.111528i
$511$	−17.0763	+	3.45478i	−0.755409	+	0.152830i
$512$	−0.974928	−	0.222521i	−0.0430861	−	0.00983413i
$513$	−5.75556	+	11.6196i	−0.254114	+	0.513017i
$514$	0.586351	−	0.230126i	0.0258628	−	0.0101504i
$515$	22.7837	−	8.94193i	1.00397	−	0.394029i
$516$	1.13761	−	2.19890i	0.0500806	−	0.0968012i
$517$	−7.95584	−	1.81587i	−0.349898	−	0.0798618i
$518$	13.5836	−	2.74816i	0.596830	−	0.120747i
$519$	18.5522	+	11.4315i	0.814349	+	0.501789i
$520$	1.83066	+	3.17079i	0.0802797	+	0.139048i
$521$	−18.8247	+	32.6054i	−0.824726	+	1.42847i	0.0774028	+	0.997000i	$0.475337\pi$
$521$	−18.8247	+	32.6054i	−0.824726	+	1.42847i	−0.902129	+	0.431467i	$0.857996\pi$
$522$	−2.96042	+	10.2308i	−0.129574	+	0.447788i
$523$	7.41752	−	0.555866i	0.324345	−	0.0243063i	0.0884374	−	0.996082i	$-0.471813\pi$
$523$	7.41752	−	0.555866i	0.324345	−	0.0243063i	0.235908	+	0.971775i	$0.424194\pi$
$524$	−9.01186	+	11.3005i	−0.393685	+	0.493665i
$525$	9.24622	−	12.1171i	0.403538	−	0.528835i
$526$	9.14971	+	11.4734i	0.398946	+	0.500263i
$527$	7.24364	+	7.80679i	0.315538	+	0.340069i
$528$	4.06350	+	2.94434i	0.176841	+	0.128136i
$529$	18.5083	−	12.6188i	0.804710	−	0.548642i
$530$	−14.2625	−	2.14972i	−0.619522	−	0.0933780i
$531$	13.8070	+	27.4299i	0.599171	+	1.19036i
$532$	6.08439	+	2.56368i	0.263792	+	0.111150i
$533$	9.87552	−	20.5067i	0.427756	−	0.888245i
$534$	−4.93842	−	24.9033i	−0.213706	−	1.07767i
$535$	13.9885	−	15.0760i	0.604775	−	0.651792i
$536$	−14.3192	−	1.07308i	−0.618496	−	0.0463499i
$537$	−26.8634	+	12.0017i	−1.15924	+	0.517912i
$538$		−	21.5161i		−	0.927627i
$539$	4.01236	−	19.8795i	0.172824	−	0.856271i
$540$	4.87707	+	4.62713i	0.209876	+	0.199120i
$541$	−8.86720	+	22.5933i	−0.381231	+	0.971360i	0.603513	+	0.797353i	$0.293767\pi$
$541$	−8.86720	+	22.5933i	−0.381231	+	0.971360i	−0.984744	+	0.174008i	$0.944328\pi$
$542$	0.746716	−	9.96423i	0.0320742	−	0.428000i
$543$	0.576881	+	12.4875i	0.0247563	+	0.535888i
$544$	0.743676	−	1.09077i	0.0318848	−	0.0467665i
$545$	−14.4111	−	6.94001i	−0.617303	−	0.297277i
$546$	−9.69277	−	8.61529i	−0.414812	−	0.368701i
$547$	37.0493	−	17.8420i	1.58411	−	0.762869i	0.585265	−	0.810842i	$-0.300991\pi$
$547$	37.0493	−	17.8420i	1.58411	−	0.762869i	0.998849	+	0.0479733i	$0.0152762\pi$
$548$	−0.0987214	+	0.654974i	−0.00421717	+	0.0279791i
$549$	−0.854901	+	0.605080i	−0.0364863	+	0.0258242i
$550$	−9.52864	+	1.43621i	−0.406303	+	0.0612403i
$551$	6.49438	−	6.02590i	0.276670	−	0.256712i
$552$	−1.33370	−	0.138446i	−0.0567659	−	0.00589265i
$553$	−8.93533	−	24.5379i	−0.379969	−	1.04346i
$554$	7.30599	+	5.82634i	0.310402	+	0.247537i
$555$	−8.96409	−	7.57850i	−0.380504	−	0.321689i
$556$	−4.74598	+	15.3861i	−0.201274	+	0.652515i
$557$	−4.70209	−	2.71475i	−0.199234	−	0.115028i	0.397064	−	0.917791i	$-0.370029\pi$
$557$	−4.70209	−	2.71475i	−0.199234	−	0.115028i	−0.596298	+	0.802763i	$0.703362\pi$
$558$	20.7432	−	12.4659i	0.878131	−	0.527724i
$559$	3.94354	−	0.900088i	0.166794	−	0.0380697i
$560$	2.19991	−	2.62257i	0.0929633	−	0.110824i
$561$	−5.57820	+	3.57358i	−0.235512	+	0.150877i
$562$	−18.0395	+	5.56444i	−0.760950	+	0.234722i
$563$	−1.57683	−	4.01769i	−0.0664553	−	0.169325i	0.893788	−	0.448490i	$-0.148038\pi$
$563$	−1.57683	−	4.01769i	−0.0664553	−	0.169325i	−0.960243	+	0.279164i	$0.909943\pi$
$564$	4.48848	+	1.91166i	0.188999	+	0.0804952i
$565$	−4.54121	−	14.7222i	−0.191050	−	0.619369i
$566$	3.10796	−	13.6169i	0.130637	−	0.572360i
$567$	−21.5587	−	10.1105i	−0.905380	−	0.424602i
$568$	1.29353	+	5.66734i	0.0542754	+	0.237796i
$569$	−5.47152	+	3.15898i	−0.229378	+	0.132432i	−0.610285	−	0.792182i	$-0.708945\pi$
$569$	−5.47152	+	3.15898i	−0.229378	+	0.132432i	0.380907	+	0.924613i	$0.375612\pi$
$570$	−1.49466	−	5.38878i	−0.0626044	−	0.225711i
$571$	9.33891	+	2.88067i	0.390821	+	0.120552i	0.483937	−	0.875103i	$-0.339206\pi$
$571$	9.33891	+	2.88067i	0.390821	+	0.120552i	−0.0931156	+	0.995655i	$0.529683\pi$
$572$	0.612691	+	8.17580i	0.0256179	+	0.341847i
$573$	−15.0451	+	1.82885i	−0.628520	+	0.0764012i
$574$	−21.1744	−	2.11552i	−0.883801	−	0.0883002i
$575$	2.01311	−	1.60540i	0.0839526	−	0.0669500i
$576$	−2.07875	−	2.16305i	−0.0866146	−	0.0901272i
$577$	2.23365	+	14.8193i	0.0929879	+	0.616934i	0.985980	+	0.166862i	$0.0533635\pi$
$577$	2.23365	+	14.8193i	0.0929879	+	0.616934i	−0.892992	+	0.450072i	$0.851398\pi$
$578$	−8.59467	−	12.6061i	−0.357491	−	0.524343i
$579$	23.6894	−	17.8064i	0.984499	−	0.740008i
$580$	−1.99292	−	4.13834i	−0.0827515	−	0.171835i
$581$	−12.0738	+	10.6585i	−0.500905	+	0.442188i
$582$	−12.7291	+	4.57970i	−0.527637	+	0.189835i
$583$	−26.6863	−	18.1944i	−1.10523	−	0.753534i
$584$	−4.82713	−	4.47892i	−0.199748	−	0.185339i
$585$	−0.628725	+	10.9659i	−0.0259946	+	0.453386i
$586$	8.60383	+	3.37675i	0.355421	+	0.139492i
$587$	13.8622			0.572154			0.286077	−	0.958207i	$-0.407649\pi$
$587$	13.8622			0.572154			0.286077	+	0.958207i	$0.407649\pi$
$588$	−4.46781	+	11.2711i	−0.184249	+	0.464814i
$589$	−20.1310			−0.829482
$590$	−12.3283	−	4.83849i	−0.507547	−	0.199197i
$591$	−30.3066	+	26.5468i	−1.24665	+	1.09199i
$592$	3.83983	+	3.56284i	0.157816	+	0.146432i
$593$	−18.3948	−	12.5414i	−0.755384	−	0.515012i	0.123327	−	0.992366i	$-0.460644\pi$
$593$	−18.3948	−	12.5414i	−0.755384	−	0.515012i	−0.878711	+	0.477354i	$0.841596\pi$
$594$	5.34395	+	14.0739i	0.219265	+	0.577457i
$595$	2.16186	+	3.96839i	0.0886276	+	0.162688i
$596$	−3.87690	−	8.05047i	−0.158804	−	0.329760i
$597$	0.743879	+	0.989649i	0.0304450	+	0.0405036i
$598$	−1.23409	−	1.81008i	−0.0504658	−	0.0740197i
$599$	−0.516028	−	3.42362i	−0.0210843	−	0.139885i	0.975812	−	0.218612i	$-0.0701528\pi$
$599$	−0.516028	−	3.42362i	−0.0210843	−	0.139885i	−0.996896	+	0.0787262i	$0.974915\pi$
$600$	5.75856	+	0.164946i	0.235092	+	0.00673390i
$601$	12.4247	−	9.90840i	0.506816	−	0.404172i	−0.336423	−	0.941711i	$-0.609217\pi$
$601$	12.4247	−	9.90840i	0.506816	−	0.404172i	0.843239	+	0.537539i	$0.180646\pi$
$602$	−2.05227	−	3.17647i	−0.0836444	−	0.129463i
$603$	−34.1454	−	26.2643i	−1.39051	−	1.06957i
$604$	−0.736395	−	9.82650i	−0.0299635	−	0.399835i
$605$	−3.22218	−	0.993911i	−0.131000	−	0.0404082i
$606$	19.2303	−	5.33381i	0.781177	−	0.216671i
$607$	−29.3376	+	16.9381i	−1.19078	+	0.687496i	−0.958483	−	0.285150i	$-0.907957\pi$
$607$	−29.3376	+	16.9381i	−1.19078	+	0.687496i	−0.232295	+	0.972645i	$0.574623\pi$
$608$	0.555298	+	2.43292i	0.0225203	+	0.0986679i
$609$	11.3181	+	11.6866i	0.458633	+	0.473564i
$610$	0.100512	−	0.440371i	0.00406960	−	0.0178301i
$611$	2.34945	+	7.61672i	0.0950485	+	0.308140i
$612$	3.66080	−	1.51133i	0.147979	−	0.0610918i
$613$	−11.5298	−	29.3775i	−0.465685	−	1.18655i	−0.950166	−	0.311744i	$-0.899087\pi$
$613$	−11.5298	−	29.3775i	−0.465685	−	1.18655i	0.484481	−	0.874802i	$-0.339008\pi$
$614$	6.38672	−	1.97004i	0.257747	−	0.0795044i
$615$	9.72265	+	15.1766i	0.392055	+	0.611980i
$616$	6.98644	−	3.15370i	0.281492	−	0.127066i
$617$	15.3989	−	3.51470i	0.619936	−	0.141496i	0.0989936	−	0.995088i	$-0.468438\pi$
$617$	15.3989	−	3.51470i	0.619936	−	0.141496i	0.520943	+	0.853592i	$0.325581\pi$
$618$	−31.7227	−	8.20279i	−1.27608	−	0.329965i
$619$	−9.23359	−	5.33102i	−0.371129	−	0.214272i	0.302822	−	0.953047i	$-0.402071\pi$
$619$	−9.23359	−	5.33102i	−0.371129	−	0.214272i	−0.673952	+	0.738775i	$0.735404\pi$
$620$	−3.07638	+	9.97336i	−0.123550	+	0.400540i
$621$	−3.11693	−	2.54282i	−0.125078	−	0.102040i
$622$	−16.5241	−	13.1776i	−0.662557	−	0.528372i
$623$	−36.7637	−	12.3456i	−1.47291	−	0.494618i
$624$	0.506086	−	4.87530i	0.0202597	−	0.195168i
$625$	−1.97417	+	1.83176i	−0.0789668	+	0.0732705i
$626$	26.5939	−	4.00839i	1.06291	−	0.160207i
$627$	2.22017	−	12.3242i	0.0886650	−	0.492181i
$628$	−2.38286	+	15.8093i	−0.0950866	+	0.630858i
$629$	−6.23039	+	3.00040i	−0.248422	+	0.119634i
$630$	9.83471	−	2.95568i	0.391824	−	0.117757i
$631$	−22.3205	−	10.7490i	−0.888567	−	0.427911i	−0.0668208	−	0.997765i	$-0.521286\pi$
$631$	−22.3205	−	10.7490i	−0.888567	−	0.427911i	−0.821746	+	0.569854i	$0.807000\pi$
$632$	5.56009	−	8.15515i	0.221168	−	0.324394i
$633$	−39.2654	+	1.81393i	−1.56066	+	0.0720974i
$634$	2.57191	−	34.3198i	0.102144	−	1.36301i
$635$	1.31173	−	3.34223i	0.0520543	−	0.132632i
$636$	13.7728	+	13.5335i	0.546128	+	0.536638i
$637$	−18.7757	+	6.31474i	−0.743921	+	0.250199i
$638$		−	10.2855i		−	0.407207i
$639$	−6.08576	+	16.3429i	−0.240749	+	0.646516i
$640$	1.29019	+	0.0966861i	0.0509991	+	0.00382186i
$641$	23.2657	−	25.0744i	0.918938	−	0.990380i	−0.0810416	−	0.996711i	$-0.525825\pi$
$641$	23.2657	−	25.0744i	0.918938	−	0.990380i	0.999980	+	0.00633071i	$0.00201514\pi$
$642$	−27.0065	+	5.35547i	−1.06586	+	0.211364i
$643$	−5.55197	+	11.5288i	−0.218948	+	0.454651i	−0.981293	−	0.192520i	$-0.938334\pi$
$643$	−5.55197	+	11.5288i	−0.218948	+	0.454651i	0.762345	+	0.647171i	$0.224048\pi$
$644$	−1.19537	+	1.66320i	−0.0471041	+	0.0655391i
$645$	−1.03139	+	3.03254i	−0.0406110	+	0.119406i
$646$	−3.25766	−	0.491013i	−0.128171	−	0.0193187i
$647$	9.02775	−	6.15502i	0.354917	−	0.241979i	−0.372715	−	0.927946i	$-0.621573\pi$
$647$	9.02775	−	6.15502i	0.354917	−	0.241979i	0.727632	+	0.685967i	$0.240621\pi$
$648$	−1.65248	−	8.84700i	−0.0649153	−	0.347543i
$649$	−20.1716	−	21.7398i	−0.791803	−	0.853361i
$650$	5.86853	+	7.35890i	0.230183	+	0.288640i
$651$	−0.790476	−	36.9589i	−0.0309812	−	1.44853i
$652$	13.8791	−	17.4038i	0.543546	−	0.681585i
$653$	26.8039	−	2.00867i	1.04892	−	0.0786055i	0.460899	−	0.887453i	$-0.347527\pi$
$653$	26.8039	−	2.00867i	1.04892	−	0.0786055i	0.588019	+	0.808847i	$0.299908\pi$
$654$	10.1712	+	18.8432i	0.397725	+	0.736827i
$655$	9.35026	−	16.1951i	0.365345	−	0.632796i
$656$	−4.02150	−	6.96544i	−0.157013	−	0.271955i
$657$	−4.73278	−	19.1796i	−0.184643	−	0.748269i
$658$	5.93970	−	4.50059i	0.231554	−	0.175451i
$659$	−22.1147	−	5.04755i	−0.861468	−	0.196624i	−0.231109	−	0.972928i	$-0.574235\pi$
$659$	−22.1147	−	5.04755i	−0.861468	−	0.196624i	−0.630359	+	0.776303i	$0.717092\pi$
$660$	−5.76642	−	2.98329i	−0.224458	−	0.116124i
$661$	−2.51612	+	0.987506i	−0.0978659	+	0.0384095i	−0.413769	−	0.910382i	$-0.635788\pi$
$661$	−2.51612	+	0.987506i	−0.0978659	+	0.0384095i	0.315903	+	0.948792i	$0.397693\pi$
$662$	−8.64796	+	3.39408i	−0.336113	+	0.131915i
$663$	5.74721	+	2.97334i	0.223203	+	0.115475i
$664$	−5.93460	−	1.35453i	−0.230307	−	0.0525661i
$665$	−8.27844	−	2.10659i	−0.321024	−	0.0816902i
$666$	3.76478	+	15.2568i	0.145882	+	0.591189i
$667$	1.37417	+	2.38014i	0.0532082	+	0.0921593i
$668$	4.65294	−	8.05913i	0.180028	−	0.311817i
$669$	−8.86511	−	16.4236i	−0.342745	−	0.634972i
$670$	18.5263	−	1.38835i	0.715733	−	0.0536367i
$671$	0.630644	−	0.790803i	0.0243458	−	0.0305286i
$672$	−4.44485	+	1.11502i	−0.171464	+	0.0430128i
$673$	17.4972	+	21.9407i	0.674466	+	0.845753i	0.994831	−	0.101541i	$-0.0323772\pi$
$673$	17.4972	+	21.9407i	0.674466	+	0.845753i	−0.320366	+	0.947294i	$0.603806\pi$
$674$	−9.79555	−	10.5571i	−0.377311	−	0.406644i
$675$	14.1707	+	9.89374i	0.545429	+	0.380810i
$676$	−4.12439	+	2.81196i	−0.158630	+	0.108152i
$677$	2.89647	+	0.436573i	0.111320	+	0.0167789i	0.204466	−	0.978874i	$-0.434454\pi$
$677$	2.89647	+	0.436573i	0.111320	+	0.0167789i	−0.0931458	+	0.995652i	$0.529692\pi$
$678$	−6.64125	+	19.5269i	−0.255056	+	0.749926i
$679$	−3.58515	+	20.3507i	−0.137586	+	0.780990i
$680$	−0.741089	+	1.53889i	−0.0284195	+	0.0590137i
$681$	14.0338	−	2.78294i	0.537775	−	0.106643i
$682$	−15.8967	+	17.1325i	−0.608715	+	0.656039i
$683$	19.9680	+	1.49639i	0.764053	+	0.0572579i	0.451055	−	0.892496i	$-0.351048\pi$
$683$	19.9680	+	1.49639i	0.764053	+	0.0572579i	0.312998	+	0.949754i	$0.398667\pi$
$684$	−2.61255	+	7.01582i	−0.0998932	+	0.268257i
$685$		−	0.856980i		−	0.0327435i
$686$	11.5539	+	14.4744i	0.441129	+	0.552635i
$687$	29.1504	+	28.6438i	1.11216	+	1.09283i
$688$	0.522209	−	1.33057i	0.0199090	−	0.0507274i
$689$	−2.35759	+	31.4598i	−0.0898170	+	1.19852i
$690$	1.73297	−	0.0800575i	0.0659729	−	0.00304774i
$691$	−16.1900	+	23.7464i	−0.615897	+	0.903355i	−0.999800	−	0.0200185i	$-0.993627\pi$
$691$	−16.1900	+	23.7464i	−0.615897	+	0.903355i	0.383903	+	0.923374i	$0.374580\pi$
$692$	11.3353	+	5.45880i	0.430904	+	0.207512i
$693$	22.7135	+	3.59213i	0.862814	+	0.136454i
$694$	−3.69306	+	1.77848i	−0.140187	+	0.0675103i
$695$	3.10486	−	20.5994i	0.117774	−	0.781381i
$696$	−1.09019	+	6.05164i	−0.0413234	+	0.229387i
$697$	10.4995	−	1.58255i	0.397697	−	0.0599432i
$698$	7.39788	−	6.86423i	0.280014	−	0.259815i
$699$	−1.18535	+	11.4189i	−0.0448341	+	0.431902i
$700$	4.58745	−	7.50963i	0.173389	−	0.283837i
$701$	−23.7959	−	18.9766i	−0.898761	−	0.716738i	0.0608268	−	0.998148i	$-0.480626\pi$
$701$	−23.7959	−	18.9766i	−0.898761	−	0.716738i	−0.959587	+	0.281411i	$0.909198\pi$
$702$	9.29524	−	11.3939i	0.350826	−	0.430035i
$703$	3.85296	−	12.4910i	0.145317	−	0.471106i
$704$	2.50905	+	1.44860i	0.0945632	+	0.0545961i
$705$	−6.11098	−	1.58016i	−0.230153	−	0.0595124i
$706$	27.4904	−	6.27450i	1.03461	−	0.236144i
$707$	7.51754	−	29.5422i	0.282726	−	1.11105i
$708$	9.56401	+	14.9290i	0.359437	+	0.561065i
$709$	8.44750	−	2.60571i	0.317252	−	0.0978594i	−0.132039	−	0.991244i	$-0.542153\pi$
$709$	8.44750	−	2.60571i	0.317252	−	0.0978594i	0.449292	+	0.893385i	$0.351676\pi$
$710$	−2.74773	−	7.00110i	−0.103120	−	0.262746i
$711$	27.3699	−	11.2994i	1.02645	−	0.423762i
$712$	−4.32050	−	14.0067i	−0.161918	−	0.524924i
$713$	1.38964	−	6.08843i	0.0520426	−	0.228013i
$714$	0.773546	−	6.00010i	0.0289492	−	0.224548i
$715$	−2.36040	−	10.3416i	−0.0882740	−	0.386754i
$716$	−14.7112	+	8.49354i	−0.549785	+	0.317418i
$717$	43.5825	−	12.0883i	1.62762	−	0.451444i
$718$	−21.8128	−	6.72835i	−0.814045	−	0.251100i
$719$	3.45609	+	46.1183i	0.128890	+	1.71992i	0.569303	+	0.822127i	$0.307213\pi$
$719$	3.45609	+	46.1183i	0.128890	+	1.71992i	−0.440413	+	0.897795i	$0.645168\pi$
$720$	3.07656	+	2.36646i	0.114657	+	0.0881928i
$721$	−34.9420	+	35.8353i	−1.30131	+	1.33458i
$722$	−9.98598	+	7.96355i	−0.371640	+	0.296373i
$723$	35.6683	+	1.02167i	1.32652	+	0.0379964i
$724$	1.07569	+	7.13672i	0.0399776	+	0.265234i
$725$	−6.65172	−	9.75629i	−0.247039	−	0.362339i
$726$	2.71233	+	3.60846i	0.100664	+	0.133922i
$727$	−10.4548	−	21.7096i	−0.387747	−	0.805165i	−0.999896	−	0.0144224i	$-0.995409\pi$
$727$	−10.4548	−	21.7096i	−0.387747	−	0.805165i	0.612149	−	0.790742i	$-0.290305\pi$
$728$	−6.07979	−	4.36965i	−0.225332	−	0.161950i
$729$	10.4201	−	24.9083i	0.385929	−	0.922529i
$730$	7.03929	+	4.79931i	0.260536	+	0.177630i
$731$	1.38328	+	1.28349i	0.0511623	+	0.0474717i
$732$	−0.454869	+	0.398438i	−0.0168124	+	0.0147267i
$733$	35.8963	+	14.0883i	1.32586	+	0.520361i	0.919406	−	0.393310i	$-0.128670\pi$
$733$	35.8963	+	14.0883i	1.32586	+	0.520361i	0.406453	+	0.913672i	$0.366765\pi$
$734$	−5.34904			−0.197437
$735$	3.54248	−	15.2813i	0.130666	−	0.563660i
$736$	−0.774147			−0.0285355
$737$	38.7261	+	15.1989i	1.42650	+	0.559858i
$738$	1.38115	−	24.0894i	0.0508410	−	0.886745i
$739$	22.9422	+	21.2872i	0.843941	+	0.783063i	0.978152	−	0.207890i	$-0.0666596\pi$
$739$	22.9422	+	21.2872i	0.843941	+	0.783063i	−0.134211	+	0.990953i	$0.542850\pi$
$740$	−5.59953	−	3.81769i	−0.205843	−	0.140341i
$741$	−11.5094	+	4.14088i	−0.422808	+	0.152119i
$742$	28.3917	−	7.99290i	1.04229	−	0.293429i
$743$	17.7924	+	36.9464i	0.652741	+	1.35543i	0.920043	+	0.391818i	$0.128154\pi$
$743$	17.7924	+	36.9464i	0.652741	+	1.35543i	−0.267302	+	0.963613i	$0.586132\pi$
$744$	11.1690	−	8.39528i	0.409475	−	0.307786i
$745$	6.51231	+	9.55181i	0.238593	+	0.349951i
$746$	3.10544	+	20.6033i	0.113698	+	0.754340i
$747$	−12.6538	−	13.1670i	−0.462978	−	0.481754i
$748$	−2.99033	+	2.38471i	−0.109337	+	0.0871937i
$749$	−13.3882	+	39.8684i	−0.489196	+	1.45676i
$750$	−18.5218	+	2.25147i	−0.676322	+	0.0822119i
$751$	−1.90942	−	25.4794i	−0.0696756	−	0.929756i	−0.917053	−	0.398765i	$-0.869439\pi$
$751$	−1.90942	−	25.4794i	−0.0696756	−	0.929756i	0.847378	−	0.530991i	$-0.178180\pi$
$752$	2.69153	+	0.830228i	0.0981501	+	0.0302753i
$753$	−6.83827	−	24.6544i	−0.249200	−	0.898457i
$754$	−8.70055	+	5.02327i	−0.316855	+	0.182937i
$755$	2.83697	+	12.4296i	0.103248	+	0.452359i
$756$	−12.9831	−	4.52095i	−0.472191	−	0.164425i
$757$	5.05544	−	22.1493i	0.183743	−	0.805031i	−0.796084	−	0.605186i	$-0.793099\pi$
$757$	5.05544	−	22.1493i	0.183743	−	0.805031i	0.979827	−	0.199845i	$-0.0640440\pi$
$758$	−0.305077	−	0.989037i	−0.0110809	−	0.0359234i
$759$	3.57409	+	1.52221i	0.129731	+	0.0552528i
$760$	−1.17957	−	3.00549i	−0.0427874	−	0.109020i
$761$	0.531472	−	0.163937i	0.0192658	−	0.00594272i	−0.285107	−	0.958496i	$-0.592029\pi$
$761$	0.531472	−	0.163937i	0.0192658	−	0.00594272i	0.304373	+	0.952553i	$0.401553\pi$
$762$	−4.04729	+	2.59283i	−0.146618	+	0.0939283i
$763$	32.6990	+	0.810423i	1.18378	+	0.0293393i
$764$	−8.53087	+	1.94712i	−0.308636	+	0.0704442i
$765$	−4.39202	+	2.63944i	−0.158794	+	0.0954292i
$766$	10.7030	+	6.17940i	0.386716	+	0.223271i
$767$	−8.53832	+	27.6805i	−0.308301	+	0.999487i
$768$	−1.32270	−	1.11825i	−0.0477287	−	0.0403512i
$769$	5.35752	+	4.27248i	0.193197	+	0.154069i	0.715311	−	0.698806i	$-0.246285\pi$
$769$	5.35752	+	4.27248i	0.193197	+	0.154069i	−0.522114	+	0.852876i	$0.674856\pi$
$770$	−8.33000	+	5.38190i	−0.300192	+	0.193950i
$771$	1.08518	+	0.112648i	0.0390817	+	0.00405692i
$772$	12.5425	−	11.6378i	0.451415	−	0.418852i
$773$	−13.5913	+	2.04857i	−0.488847	+	0.0736818i	−0.388841	−	0.921305i	$-0.627124\pi$
$773$	−13.5913	+	2.04857i	−0.488847	+	0.0736818i	−0.100006	+	0.994987i	$0.531886\pi$
$774$	3.50013	−	2.47731i	0.125810	−	0.0890451i
$775$	−3.99899	+	26.5315i	−0.143648	+	0.953041i
$776$	−7.03684	+	3.38876i	−0.252608	+	0.121650i
$777$	23.0838	+	6.58326i	0.828126	+	0.236173i
$778$	5.37315	+	2.58757i	0.192637	+	0.0927690i
$779$	−11.3065	+	16.5836i	−0.405098	+	0.594170i
$780$	0.292649	+	6.33483i	0.0104785	+	0.226823i
$781$	1.25858	−	16.7945i	0.0450354	−	0.600956i
$782$	0.373380	−	0.951356i	0.0133520	−	0.0340204i
$783$	−12.6967	+	13.3825i	−0.453743	+	0.478252i
$784$	−1.89381	+	6.73895i	−0.0676360	+	0.240677i
$785$		−	20.6851i		−	0.738284i
$786$	−22.8574	+	10.2120i	−0.815297	+	0.364249i
$787$	−24.8273	−	1.86055i	−0.884996	−	0.0663213i	−0.375528	−	0.926811i	$-0.622539\pi$
$787$	−24.8273	−	1.86055i	−0.884996	−	0.0663213i	−0.509468	+	0.860490i	$0.670158\pi$
$788$	−15.8215	+	17.0515i	−0.563618	+	0.607436i
$789$	4.94417	+	24.9323i	0.176017	+	0.887615i
$790$	−5.54075	+	11.5055i	−0.197131	+	0.409347i
$791$	20.8506	+	23.6192i	0.741360	+	0.839803i
$792$	3.90781	+	7.76355i	0.138858	+	0.275866i
$793$	−0.976940	−	0.147250i	−0.0346922	−	0.00522900i
$794$	9.21714	−	6.28414i	0.327104	−	0.223016i
$795$	−20.2300	−	14.6583i	−0.717484	−	0.519876i
$796$	0.486179	+	0.523976i	0.0172321	+	0.0185718i
$797$	−23.8234	−	29.8736i	−0.843867	−	1.05818i	−0.997543	−	0.0700549i	$-0.977683\pi$
$797$	−23.8234	−	29.8736i	−0.843867	−	1.05818i	0.153676	−	0.988121i	$-0.450889\pi$
$798$	7.31963	+	8.78633i	0.259112	+	0.311033i
$799$	−2.31843	+	2.90722i	−0.0820201	+	0.102850i
$800$	3.31677	−	0.248557i	0.117265	−	0.00878783i
$801$	12.2230	−	42.2409i	0.431879	−	1.49251i
$802$	−11.7945	+	20.4287i	−0.416480	+	0.721364i
$803$	9.53899	+	16.5220i	0.336624	+	0.583049i
$804$	−21.1742	−	13.0472i	−0.746756	−	0.460139i
$805$	1.20858	−	2.35832i	0.0425969	−	0.0831199i
$806$	22.2562	+	5.07982i	0.783940	+	0.178929i
$807$	17.1243	−	33.0997i	0.602804	−	1.16517i
$808$	10.7253	−	4.20937i	0.377315	−	0.148085i
$809$	−44.7598	+	17.5669i	−1.57367	+	0.617621i	−0.982054	−	0.188598i	$-0.939606\pi$
$809$	−44.7598	+	17.5669i	−1.57367	+	0.617621i	−0.591617	+	0.806219i	$0.701510\pi$
$810$	3.82008	+	10.9998i	0.134224	+	0.386493i
$811$	35.9303	+	8.20085i	1.26168	+	0.287971i	0.800499	−	0.599334i	$-0.204568\pi$
$811$	35.9303	+	8.20085i	1.26168	+	0.287971i	0.461183	+	0.887305i	$0.347425\pi$
$812$	7.19626	+	6.03649i	0.252539	+	0.211839i
$813$	9.07907	−	14.7343i	0.318417	−	0.516756i
$814$	−7.58796	−	13.1427i	−0.265958	−	0.460653i
$815$	−14.4002	+	24.9419i	−0.504418	+	0.873678i
$816$	2.01217	−	1.08613i	0.0704401	−	0.0380222i
$817$	−3.55701	+	0.266561i	−0.124444	+	0.00932579i
$818$	4.66734	−	5.85267i	0.163190	−	0.204634i
$819$	−8.05428	−	20.9678i	−0.281439	−	0.732673i
$820$	6.48808	+	8.13580i	0.226574	+	0.284114i
$821$	13.6583	+	14.7201i	0.476676	+	0.513735i	0.924912	−	0.380180i	$-0.124138\pi$
$821$	13.6583	+	14.7201i	0.476676	+	0.513735i	−0.448236	+	0.893915i	$0.647948\pi$
$822$	−0.673151	+	0.929020i	−0.0234789	+	0.0324033i
$823$	−34.1608	+	23.2904i	−1.19077	+	0.811854i	−0.985966	−	0.166949i	$-0.946609\pi$
$823$	−34.1608	+	23.2904i	−1.19077	+	0.811854i	−0.204805	+	0.978803i	$0.565656\pi$
$824$	−18.7062	−	2.81951i	−0.651662	−	0.0982223i
$825$	−15.8016	−	5.37425i	−0.550141	−	0.187107i
$826$	27.0488	−	1.35412i	0.941148	−	0.0471160i
$827$	1.02872	−	2.13616i	0.0357722	−	0.0742817i	−0.882317	−	0.470656i	$-0.844017\pi$
$827$	1.02872	−	2.13616i	0.0357722	−	0.0742817i	0.918089	+	0.396374i	$0.129732\pi$
$828$	−1.94153	−	1.27444i	−0.0674727	−	0.0442900i
$829$	10.7960	−	11.6354i	0.374962	−	0.404113i	−0.517174	−	0.855881i	$-0.673016\pi$
$829$	10.7960	−	11.6354i	0.374962	−	0.404113i	0.892136	+	0.451767i	$0.149206\pi$
$830$	7.85364	+	0.588549i	0.272604	+	0.0204288i
$831$	6.60223	+	14.7777i	0.229029	+	0.512634i
$832$		−	2.82988i		−	0.0981085i
$833$	−7.36815	−	5.57758i	−0.255291	−	0.193252i
$834$	−19.5466	+	19.8922i	−0.676842	+	0.688811i
$835$	−4.39871	+	11.2077i	−0.152223	+	0.387859i
$836$	0.540292	−	7.20970i	0.0186864	−	0.249353i
$837$	41.8321	−	2.66798i	1.44593	−	0.0922190i
$838$	12.5050	−	18.3415i	0.431979	−	0.633597i
$839$	12.9797	+	6.25070i	0.448109	+	0.215798i	0.644308	−	0.764766i	$-0.277146\pi$
$839$	12.9797	+	6.25070i	0.448109	+	0.215798i	−0.196199	+	0.980564i	$0.562860\pi$
$840$	5.47153	−	2.28361i	0.188786	−	0.0787921i
$841$	−14.7726	+	7.11412i	−0.509401	+	0.245315i
$842$	0.630895	−	4.18572i	0.0217421	−	0.144249i
$843$	−32.1800	−	5.79713i	−1.10834	−	0.199664i
$844$	−22.4406	+	3.38237i	−0.772436	+	0.116426i
$845$	4.73432	−	4.39280i	0.162865	−	0.151117i
$846$	5.38348	+	6.51312i	0.185088	+	0.223926i
$847$	6.84186	−	0.858466i	0.235089	−	0.0294973i
$848$	8.71600	+	6.95078i	0.299309	+	0.238691i
$849$	15.6186	−	18.4742i	0.536029	−	0.634032i
$850$	−1.29426	+	4.19588i	−0.0443927	+	0.143918i
$851$	3.51181	+	2.02755i	0.120383	+	0.0695034i
$852$	−2.52060	+	9.74794i	−0.0863543	+	0.333959i
$853$	1.36416	−	0.311360i	0.0467079	−	0.0106608i	−0.199103	−	0.979979i	$-0.563803\pi$
$853$	1.36416	−	0.311360i	0.0467079	−	0.0106608i	0.245811	+	0.969318i	$0.420946\pi$
$854$	0.183165	+	0.905348i	0.00626778	+	0.0309804i
$855$	1.98950	−	9.47950i	0.0680394	−	0.324192i
$856$	−15.1896	+	4.68537i	−0.519170	+	0.160143i
$857$	−4.74799	−	12.0977i	−0.162188	−	0.413249i	0.826558	−	0.562851i	$-0.190296\pi$
$857$	−4.74799	−	12.0977i	−0.162188	−	0.413249i	−0.988746	+	0.149603i	$0.952200\pi$
$858$	−5.56442	+	13.0650i	−0.189966	+	0.446032i
$859$	−0.146232	−	0.474074i	−0.00498938	−	0.0161752i	0.953044	−	0.302832i	$-0.0979322\pi$
$859$	−0.146232	−	0.474074i	−0.00498938	−	0.0161752i	−0.958033	+	0.286657i	$0.907456\pi$
$860$	−0.411515	+	1.80296i	−0.0140325	+	0.0614805i
$861$	−30.8902	−	20.1067i	−1.05274	−	0.685236i
$862$	1.66214	+	7.28231i	0.0566127	+	0.248036i
$863$	25.3899	−	14.6589i	0.864283	−	0.498994i	−0.00116097	−	0.999999i	$-0.500370\pi$
$863$	25.3899	−	14.6589i	0.864283	−	0.498994i	0.865444	+	0.501005i	$0.167036\pi$
$864$	−1.47635	−	4.98201i	−0.0502263	−	0.169491i
$865$	−15.5545	−	4.79793i	−0.528869	−	0.163134i
$866$	−0.332886	−	4.44205i	−0.0113119	−	0.150947i
$867$	−3.18882	−	26.2331i	−0.108298	−	0.890922i
$868$	−2.65714	−	21.1771i	−0.0901894	−	0.718797i
$869$	−22.3572	+	17.8293i	−0.758416	+	0.604816i
$870$	0.227786	−	7.95241i	0.00772268	−	0.269612i
$871$	−6.05639	−	40.1815i	−0.205213	−	1.36150i
$872$	6.96423	+	10.2147i	0.235839	+	0.345912i
$873$	−23.2269	−	3.08557i	−0.786110	−	0.104431i
$874$	0.838209	+	1.74056i	0.0283528	+	0.0588753i
$875$	−11.0667	+	26.2646i	−0.374122	+	0.887904i
$876$	−3.86121	−	10.7321i	−0.130458	−	0.362603i
$877$	16.4204	+	11.1952i	0.554477	+	0.378036i	0.807900	−	0.589320i	$-0.200604\pi$
$877$	16.4204	+	11.1952i	0.554477	+	0.378036i	−0.253423	+	0.967356i	$0.581557\pi$
$878$	28.5876	+	26.5254i	0.964786	+	0.895191i
$879$	10.5483	+	12.0423i	0.355787	+	0.406177i
$880$	−3.48929	−	1.36945i	−0.117624	−	0.0461640i
$881$	−32.7738			−1.10418			−0.552088	−	0.833786i	$-0.686169\pi$
$881$	−32.7738			−1.10418			−0.552088	+	0.833786i	$0.686169\pi$
$882$	−15.8436	+	13.7833i	−0.533483	+	0.464108i
$883$	11.6160			0.390909			0.195454	−	0.980713i	$-0.437382\pi$
$883$	11.6160			0.390909			0.195454	+	0.980713i	$0.437382\pi$
$884$	3.47766	+	1.36488i	0.116967	+	0.0459060i
$885$	−15.1145	−	17.2552i	−0.508069	−	0.580027i
$886$	−28.0432	−	26.0203i	−0.942130	−	0.874169i
$887$	−25.2121	−	17.1893i	−0.846538	−	0.577160i	0.0605192	−	0.998167i	$-0.480724\pi$
$887$	−25.2121	−	17.1893i	−0.846538	−	0.577160i	−0.907057	+	0.421007i	$0.861677\pi$
$888$	3.07147	+	8.53701i	0.103072	+	0.286483i
$889$	0.367107	+	7.33300i	0.0123124	+	0.245941i
$890$	8.22838	+	17.0864i	0.275816	+	0.572738i
$891$	−2.98016	+	25.9039i	−0.0998393	+	0.867813i
$892$	−6.06996	−	8.90300i	−0.203237	−	0.298095i
$893$	−1.04761	−	6.95045i	−0.0350570	−	0.232588i
$894$	0.443121	−	15.4701i	0.0148202	−	0.517398i
$895$	17.1831	−	13.7030i	0.574366	−	0.458042i
$896$	−2.48605	+	0.905283i	−0.0830532	+	0.0302434i
$897$	−0.457877	−	3.76676i	−0.0152881	−	0.125768i
$898$	1.67354	+	22.3319i	0.0558468	+	0.745224i
$899$	−27.3666	−	8.44147i	−0.912727	−	0.281539i
$900$	8.72750	+	4.83688i	0.290917	+	0.161229i
$901$	−12.7457	+	7.35873i	−0.424620	+	0.245155i
$902$	5.18522	+	22.7179i	0.172649	+	0.756424i
$903$	−0.629058	−	6.51994i	−0.0209337	−	0.216970i
$904$	−2.64979	+	11.6095i	−0.0881308	+	0.386126i
$905$	−2.75237	−	8.92296i	−0.0914918	−	0.296609i
$906$	6.68789	−	15.7029i	0.222190	−	0.521692i
$907$	8.95690	+	22.8218i	0.297409	+	0.757786i	0.998979	+	0.0451850i	$0.0143877\pi$
$907$	8.95690	+	22.8218i	0.297409	+	0.757786i	−0.701570	+	0.712601i	$0.747517\pi$
$908$	7.89320	−	2.43473i	0.261945	−	0.0807993i
$909$	33.8283	+	7.09968i	1.12201	+	0.235481i
$910$	8.62081	+	4.41795i	0.285777	+	0.146454i
$911$	−40.6206	+	9.27140i	−1.34582	+	0.307175i	−0.833928	−	0.551873i	$-0.813913\pi$
$911$	−40.6206	+	9.27140i	−1.34582	+	0.307175i	−0.511894	+	0.859049i	$0.671056\pi$
$912$	−1.08206	+	4.18468i	−0.0358307	+	0.138568i
$913$	15.2731	+	8.81793i	0.505466	+	0.291831i
$914$	1.73873	−	5.63682i	0.0575120	−	0.186449i
$915$	0.505107	−	0.597457i	0.0166983	−	0.0197513i
$916$	18.4475	+	14.7114i	0.609524	+	0.486079i
$917$	−3.80176	+	38.0520i	−0.125545	+	1.25659i
$918$	6.83449	+	0.588582i	0.225572	+	0.0194261i
$919$	1.87529	−	1.74002i	0.0618601	−	0.0573978i	−0.648637	−	0.761098i	$-0.724661\pi$
$919$	1.87529	−	1.74002i	0.0618601	−	0.0573978i	0.710497	+	0.703700i	$0.248470\pi$
$920$	0.990409	−	0.149280i	0.0326528	−	0.00492162i
$921$	11.3930	+	2.05242i	0.375413	+	0.0676297i
$922$	−4.36778	+	28.9783i	−0.143845	+	0.954351i
$923$	−14.8212	+	7.13754i	−0.487847	+	0.234935i
$924$	13.2577	+	0.708835i	0.436146	+	0.0233190i
$925$	−15.6971	−	7.55931i	−0.516116	−	0.248548i
$926$	10.1085	−	14.8264i	0.332184	−	0.487225i
$927$	−42.2728	−	37.8664i	−1.38842	−	1.24370i
$928$	−0.265304	+	3.54023i	−0.00870902	+	0.116214i
$929$	−10.5420	+	26.8605i	−0.345871	+	0.881265i	0.647046	+	0.762451i	$0.276004\pi$
$929$	−10.5420	+	26.8605i	−0.345871	+	0.881265i	−0.992917	+	0.118814i	$0.962091\pi$
$930$	−12.6702	+	12.8943i	−0.415472	+	0.422820i
$931$	17.2021	−	3.03866i	0.563776	−	0.0995879i
$932$			6.62812i			0.217111i
$933$	−14.9324	−	33.4232i	−0.488865	−	1.09423i
$934$	21.4893	+	1.61040i	0.703152	+	0.0526939i
$935$	3.36585	−	3.62752i	0.110075	−	0.118633i
$936$	4.65871	−	7.09722i	0.152275	−	0.231980i
$937$	−6.09758	+	12.6618i	−0.199199	+	0.413642i	−0.976509	−	0.215477i	$-0.930870\pi$
$937$	−6.09758	+	12.6618i	−0.199199	+	0.413642i	0.777310	+	0.629118i	$0.216584\pi$
$938$	−33.3620	+	18.1746i	−1.08931	+	0.593423i
$939$	44.1014	+	14.9992i	1.43920	+	0.489481i
$940$	−3.60352	−	0.543143i	−0.117534	−	0.0177154i
$941$	49.8672	−	33.9989i	1.62563	−	1.10833i	0.711674	−	0.702510i	$-0.247937\pi$
$941$	49.8672	−	33.9989i	1.62563	−	1.10833i	0.913952	−	0.405823i	$-0.133015\pi$
$942$	−16.2480	+	22.4240i	−0.529389	+	0.730612i
$943$	−4.23508	−	4.56433i	−0.137913	−	0.148635i
$944$	6.38222	+	8.00305i	0.207724	+	0.260477i
$945$	17.4818	+	3.28034i	0.568682	+	0.106710i
$946$	−2.58198	+	3.23770i	−0.0839474	+	0.105267i
$947$	33.7943	−	2.53253i	1.09817	−	0.0822962i	0.486702	−	0.873568i	$-0.338200\pi$
$947$	33.7943	−	2.53253i	1.09817	−	0.0822962i	0.611465	+	0.791272i	$0.290581\pi$
$948$	15.0440	−	8.12044i	0.488606	−	0.263740i
$949$	9.31736	−	16.1381i	0.302454	−	0.523866i
$950$	−4.15008	−	7.18815i	−0.134646	−	0.233214i
$951$	31.2710	−	50.7495i	1.01403	−	1.64567i
$952$	0.0865410	−	3.49176i	0.00280481	−	0.113169i
$953$	58.0649	+	13.2529i	1.88091	+	0.429305i	0.999104	−	0.0423154i	$-0.0134734\pi$
$953$	58.0649	+	13.2529i	1.88091	+	0.429305i	0.881802	+	0.471620i	$0.156331\pi$
$954$	10.4166	+	31.7810i	0.337250	+	1.02895i
$955$	10.5385	−	4.13607i	0.341019	−	0.133840i
$956$	24.3073	−	9.53991i	0.786154	−	0.308543i
$957$	8.18604	−	15.8229i	0.264617	−	0.511481i
$958$	−19.8917	−	4.54015i	−0.642672	−	0.146686i
$959$	0.721015	+	1.59728i	0.0232828	+	0.0515788i
$960$	1.90783	+	1.17557i	0.0615750	+	0.0379415i
$961$	17.0378	+	29.5103i	0.549607	+	0.951946i
$962$	−7.41166	+	12.8374i	−0.238962	+	0.413894i
$963$	−45.8082	−	13.2553i	−1.47615	−	0.427145i
$964$	20.5439	−	1.53956i	0.661676	−	0.0495858i
$965$	−13.8022	+	17.3074i	−0.444308	+	0.557145i
$966$	−3.16262	+	1.60724i	−0.101756	+	0.0517119i
$967$	14.0812	+	17.6573i	0.452821	+	0.567819i	0.954872	−	0.297019i	$-0.0959924\pi$
$967$	14.0812	+	17.6573i	0.452821	+	0.567819i	−0.502051	+	0.864838i	$0.667421\pi$
$968$	1.77270	+	1.91052i	0.0569769	+	0.0614065i
$969$	−4.62069	−	3.34807i	−0.148438	−	0.107556i
$970$	8.34915	−	5.69236i	0.268075	−	0.182771i
$971$	−50.4011	−	7.59674i	−1.61745	−	0.243791i	−0.722962	−	0.690888i	$-0.757220\pi$
$971$	−50.4011	−	7.59674i	−1.61745	−	0.243791i	−0.894485	+	0.447097i	$0.852458\pi$
$972$	4.49905	−	14.9251i	0.144307	−	0.478723i
$973$	11.5442	+	41.0064i	0.370091	+	1.31460i
$974$	−6.18923	+	12.8521i	−0.198316	+	0.411807i
$975$	3.17114	+	15.9913i	0.101558	+	0.512133i
$976$	−0.237463	+	0.255925i	−0.00760102	+	0.00819195i
$977$	−48.1343	−	3.60717i	−1.53995	−	0.115403i	−0.722488	−	0.691383i	$-0.757002\pi$
$977$	−48.1343	−	3.60717i	−1.53995	−	0.115403i	−0.817464	+	0.575980i	$0.804621\pi$
$978$	35.2024	−	15.7273i	1.12565	−	0.502905i
$979$			42.4669i			1.35725i
$980$	1.12337	−	8.98669i	0.0358847	−	0.287069i
$981$	0.650060	+	37.0828i	0.0207548	+	1.18396i
$982$	9.60285	−	24.4677i	0.306439	−	0.780794i
$983$	−0.719461	+	9.60054i	−0.0229472	+	0.306210i	0.973907	+	0.226949i	$0.0728750\pi$
$983$	−0.719461	+	9.60054i	−0.0229472	+	0.306210i	−0.996854	+	0.0792607i	$0.974744\pi$
$984$	−0.642877	−	13.9160i	−0.0204942	−	0.443627i
$985$	16.9532	−	24.8658i	0.540175	−	0.792291i
$986$	−4.22266	−	2.03352i	−0.134477	−	0.0647606i
$987$	12.7194	−	2.19626i	0.404862	−	0.0699077i
$988$	−6.36259	+	3.06406i	−0.202421	+	0.0974807i
$989$	0.164922	−	1.09419i	0.00524422	−	0.0347931i
$990$	−6.49653	−	9.17878i	−0.206473	−	0.291721i
$991$	−49.9862	+	7.53421i	−1.58786	+	0.239332i	−0.882778	−	0.469790i	$-0.844330\pi$
$991$	−49.9862	+	7.53421i	−1.58786	+	0.239332i	−0.705086	+	0.709122i	$0.749092\pi$
$992$	5.91349	−	5.48692i	0.187753	−	0.174210i
$993$	−16.0050	−	1.66142i	−0.507904	−	0.0527236i
$994$	11.0117	+	10.7372i	0.349269	+	0.340562i
$995$	−0.723034	−	0.576600i	−0.0229217	−	0.0182795i
$996$	−8.05154	−	6.80700i	−0.255123	−	0.215688i
$997$	8.24473	−	26.7288i	0.261113	−	0.846508i	−0.726167	−	0.687518i	$-0.758700\pi$
$997$	8.24473	−	26.7288i	0.261113	−	0.846508i	0.987280	−	0.158990i	$-0.0508238\pi$
$998$	−12.1892	−	7.03741i	−0.385841	−	0.222765i
$999$	−6.35099	+	26.4669i	−0.200936	+	0.837374i

Display

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	294.2.p.a.101.15	yes	216
3.2	odd	2	inner	294.2.p.a.101.8	✓	216
49.33	odd	42	inner	294.2.p.a.131.8	yes	216
147.131	even	42	inner	294.2.p.a.131.15	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
294.2.p.a.101.8	✓	216	3.2	odd	2	inner
294.2.p.a.101.15	yes	216	1.1	even	1	trivial
294.2.p.a.131.8	yes	216	49.33	odd	42	inner
294.2.p.a.131.15	yes	216	147.131	even	42	inner

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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 $\F_{q}$

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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	294.2.p.a.101.15

Level	$294$
Weight	$2$
Character	294.101
Analytic conductor	$2.348$
Analytic rank	$0$
Dimension	$216$
Inner twists	$4$