LMFDB - Embedded newform 3450.2.a.bp.1.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [3450,2,Mod(1,3450)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(3450, base_ring=CyclotomicField(2))

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

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

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

chi := DirichletCharacter("3450.1");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 3450 = 2 \cdot 3 \cdot 5^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	3450.a (trivial)

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:	yes
Analytic conductor:	$27.5483886973$
Analytic rank:	$0$
Dimension:	$3$
Coefficient field:	3.3.3368.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{3} - x^{2} - 15x + 11 $ x^3 - x^2 - 15*x + 11
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Fricke sign:	$-1$
Sato-Tate group:	$\mathrm{SU}(2)$

Embedding invariants

Embedding label			1.2
Root			$0.723686$ of defining polynomial
Character	$\chi$	$=$	3450.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-1.00000 q^{2} +1.00000 q^{3} +1.00000 q^{4} -1.00000 q^{6} +0.723686 q^{7} -1.00000 q^{8} +1.00000 q^{9} +O(q^{10})$	\(q-1.00000 q^{2} +1.00000 q^{3} +1.00000 q^{4} -1.00000 q^{6} +0.723686 q^{7} -1.00000 q^{8} +1.00000 q^{9} +5.51445 q^{11} +1.00000 q^{12} +4.96183 q^{13} -0.723686 q^{14} +1.00000 q^{16} +4.23814 q^{17} -1.00000 q^{18} +4.96183 q^{19} +0.723686 q^{21} -5.51445 q^{22} -1.00000 q^{23} -1.00000 q^{24} -4.96183 q^{26} +1.00000 q^{27} +0.723686 q^{28} -1.00000 q^{29} +6.00000 q^{31} -1.00000 q^{32} +5.51445 q^{33} -4.23814 q^{34} +1.00000 q^{36} -4.23814 q^{37} -4.96183 q^{38} +4.96183 q^{39} +1.03817 q^{41} -0.723686 q^{42} -0.961825 q^{43} +5.51445 q^{44} +1.00000 q^{46} -7.96183 q^{47} +1.00000 q^{48} -6.47628 q^{49} +4.23814 q^{51} +4.96183 q^{52} -6.47628 q^{53} -1.00000 q^{54} -0.723686 q^{56} +4.96183 q^{57} +1.00000 q^{58} -9.02891 q^{59} +7.44737 q^{61} -6.00000 q^{62} +0.723686 q^{63} +1.00000 q^{64} -5.51445 q^{66} -11.9237 q^{67} +4.23814 q^{68} -1.00000 q^{69} -0.514453 q^{71} -1.00000 q^{72} -0.447372 q^{73} +4.23814 q^{74} +4.96183 q^{76} +3.99073 q^{77} -4.96183 q^{78} -5.51445 q^{79} +1.00000 q^{81} -1.03817 q^{82} +6.17106 q^{83} +0.723686 q^{84} +0.961825 q^{86} -1.00000 q^{87} -5.51445 q^{88} -2.23814 q^{89} +3.59080 q^{91} -1.00000 q^{92} +6.00000 q^{93} +7.96183 q^{94} -1.00000 q^{96} +2.55263 q^{97} +6.47628 q^{98} +5.51445 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 3 q - 3 q^{2} + 3 q^{3} + 3 q^{4} - 3 q^{6} + q^{7} - 3 q^{8} + 3 q^{9}+O(q^{10}) $ 3 * q - 3 * q^2 + 3 * q^3 + 3 * q^4 - 3 * q^6 + q^7 - 3 * q^8 + 3 * q^9	$ 3 q - 3 q^{2} + 3 q^{3} + 3 q^{4} - 3 q^{6} + q^{7} - 3 q^{8} + 3 q^{9} + 3 q^{11} + 3 q^{12} - q^{13} - q^{14} + 3 q^{16} - 2 q^{17} - 3 q^{18} - q^{19} + q^{21} - 3 q^{22} - 3 q^{23} - 3 q^{24} + q^{26} + 3 q^{27} + q^{28} - 3 q^{29} + 18 q^{31} - 3 q^{32} + 3 q^{33} + 2 q^{34} + 3 q^{36} + 2 q^{37} + q^{38} - q^{39} + 19 q^{41} - q^{42} + 13 q^{43} + 3 q^{44} + 3 q^{46} - 8 q^{47} + 3 q^{48} + 10 q^{49} - 2 q^{51} - q^{52} + 10 q^{53} - 3 q^{54} - q^{56} - q^{57} + 3 q^{58} + 20 q^{61} - 18 q^{62} + q^{63} + 3 q^{64} - 3 q^{66} - 4 q^{67} - 2 q^{68} - 3 q^{69} + 12 q^{71} - 3 q^{72} + q^{73} - 2 q^{74} - q^{76} - 31 q^{77} + q^{78} - 3 q^{79} + 3 q^{81} - 19 q^{82} + 15 q^{83} + q^{84} - 13 q^{86} - 3 q^{87} - 3 q^{88} + 8 q^{89} + 29 q^{91} - 3 q^{92} + 18 q^{93} + 8 q^{94} - 3 q^{96} + 10 q^{97} - 10 q^{98} + 3 q^{99}+O(q^{100}) $ 3 * q - 3 * q^2 + 3 * q^3 + 3 * q^4 - 3 * q^6 + q^7 - 3 * q^8 + 3 * q^9 + 3 * q^11 + 3 * q^12 - q^13 - q^14 + 3 * q^16 - 2 * q^17 - 3 * q^18 - q^19 + q^21 - 3 * q^22 - 3 * q^23 - 3 * q^24 + q^26 + 3 * q^27 + q^28 - 3 * q^29 + 18 * q^31 - 3 * q^32 + 3 * q^33 + 2 * q^34 + 3 * q^36 + 2 * q^37 + q^38 - q^39 + 19 * q^41 - q^42 + 13 * q^43 + 3 * q^44 + 3 * q^46 - 8 * q^47 + 3 * q^48 + 10 * q^49 - 2 * q^51 - q^52 + 10 * q^53 - 3 * q^54 - q^56 - q^57 + 3 * q^58 + 20 * q^61 - 18 * q^62 + q^63 + 3 * q^64 - 3 * q^66 - 4 * q^67 - 2 * q^68 - 3 * q^69 + 12 * q^71 - 3 * q^72 + q^73 - 2 * q^74 - q^76 - 31 * q^77 + q^78 - 3 * q^79 + 3 * q^81 - 19 * q^82 + 15 * q^83 + q^84 - 13 * q^86 - 3 * q^87 - 3 * q^88 + 8 * q^89 + 29 * q^91 - 3 * q^92 + 18 * q^93 + 8 * q^94 - 3 * q^96 + 10 * q^97 - 10 * q^98 + 3 * q^99

Display 100 coefficients 10 coefficients

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 $

$2$	−1.00000	−0.707107
$2$	−1.00000	−0.707107
$3$	1.00000	0.577350
$3$	1.00000	0.577350
$4$	1.00000	0.500000
$5$	0	0
$5$	0	0
$6$	−1.00000	−0.408248
$7$	0.723686	0.273528	0.136764	−	0.990604i	$-0.456330\pi$
$7$	0.723686	0.273528	0.136764	+	0.990604i	$0.456330\pi$
$8$	−1.00000	−0.353553
$9$	1.00000	0.333333
$10$	0	0
$11$	5.51445	1.66267	0.831335	−	0.555771i	$-0.187577\pi$
$11$	5.51445	1.66267	0.831335	+	0.555771i	$0.187577\pi$
$12$	1.00000	0.288675
$13$	4.96183	1.37616	0.688081	−	0.725634i	$-0.258453\pi$
$13$	4.96183	1.37616	0.688081	+	0.725634i	$0.258453\pi$
$14$	−0.723686	−0.193413
$15$	0	0
$16$	1.00000	0.250000
$17$	4.23814	1.02790	0.513950	−	0.857820i	$-0.328182\pi$
$17$	4.23814	1.02790	0.513950	+	0.857820i	$0.328182\pi$
$18$	−1.00000	−0.235702
$19$	4.96183	1.13832	0.569160	−	0.822227i	$-0.307268\pi$
$19$	4.96183	1.13832	0.569160	+	0.822227i	$0.307268\pi$
$20$	0	0
$21$	0.723686	0.157921
$22$	−5.51445	−1.17569
$23$	−1.00000	−0.208514
$23$	−1.00000	−0.208514
$24$	−1.00000	−0.204124
$25$	0	0
$26$	−4.96183	−0.973094
$27$	1.00000	0.192450
$28$	0.723686	0.136764
$29$	−1.00000	−0.185695	−0.0928477	−	0.995680i	$-0.529597\pi$
$29$	−1.00000	−0.185695	−0.0928477	+	0.995680i	$0.529597\pi$
$30$	0	0
$31$	6.00000	1.07763	0.538816	−	0.842424i	$-0.318872\pi$
$31$	6.00000	1.07763	0.538816	+	0.842424i	$0.318872\pi$
$32$	−1.00000	−0.176777
$33$	5.51445	0.959943
$34$	−4.23814	−0.726835
$35$	0	0
$36$	1.00000	0.166667
$37$	−4.23814	−0.696746	−0.348373	−	0.937356i	$-0.613266\pi$
$37$	−4.23814	−0.696746	−0.348373	+	0.937356i	$0.613266\pi$
$38$	−4.96183	−0.804914
$39$	4.96183	0.794528
$40$	0	0
$41$	1.03817	0.162136	0.0810678	−	0.996709i	$-0.474167\pi$
$41$	1.03817	0.162136	0.0810678	+	0.996709i	$0.474167\pi$
$42$	−0.723686	−0.111667
$43$	−0.961825	−0.146677	−0.0733385	−	0.997307i	$-0.523365\pi$
$43$	−0.961825	−0.146677	−0.0733385	+	0.997307i	$0.523365\pi$
$44$	5.51445	0.831335
$45$	0	0
$46$	1.00000	0.147442
$47$	−7.96183	−1.16135	−0.580676	−	0.814135i	$-0.697212\pi$
$47$	−7.96183	−1.16135	−0.580676	+	0.814135i	$0.697212\pi$
$48$	1.00000	0.144338
$49$	−6.47628	−0.925183
$50$	0	0
$51$	4.23814	0.593458
$52$	4.96183	0.688081
$53$	−6.47628	−0.889585	−0.444793	−	0.895634i	$-0.646723\pi$
$53$	−6.47628	−0.889585	−0.444793	+	0.895634i	$0.646723\pi$
$54$	−1.00000	−0.136083
$55$	0	0
$56$	−0.723686	−0.0967066
$57$	4.96183	0.657210
$58$	1.00000	0.131306
$59$	−9.02891	−1.17546	−0.587732	−	0.809056i	$-0.699979\pi$
$59$	−9.02891	−1.17546	−0.587732	+	0.809056i	$0.699979\pi$
$60$	0	0
$61$	7.44737	0.953538	0.476769	−	0.879029i	$-0.341808\pi$
$61$	7.44737	0.953538	0.476769	+	0.879029i	$0.341808\pi$
$62$	−6.00000	−0.762001
$63$	0.723686	0.0911759
$64$	1.00000	0.125000
$65$	0	0
$66$	−5.51445	−0.678782
$67$	−11.9237	−1.45671	−0.728353	−	0.685202i	$-0.759714\pi$
$67$	−11.9237	−1.45671	−0.728353	+	0.685202i	$0.759714\pi$
$68$	4.23814	0.513950
$69$	−1.00000	−0.120386
$70$	0	0
$71$	−0.514453	−0.0610544	−0.0305272	−	0.999534i	$-0.509719\pi$
$71$	−0.514453	−0.0610544	−0.0305272	+	0.999534i	$0.509719\pi$
$72$	−1.00000	−0.117851
$73$	−0.447372	−0.0523609	−0.0261805	−	0.999657i	$-0.508334\pi$
$73$	−0.447372	−0.0523609	−0.0261805	+	0.999657i	$0.508334\pi$
$74$	4.23814	0.492674
$75$	0	0
$76$	4.96183	0.569160
$77$	3.99073	0.454786
$78$	−4.96183	−0.561816
$79$	−5.51445	−0.620424	−0.310212	−	0.950667i	$-0.600400\pi$
$79$	−5.51445	−0.620424	−0.310212	+	0.950667i	$0.600400\pi$
$80$	0	0
$81$	1.00000	0.111111
$82$	−1.03817	−0.114647
$83$	6.17106	0.677362	0.338681	−	0.940901i	$-0.390019\pi$
$83$	6.17106	0.677362	0.338681	+	0.940901i	$0.390019\pi$
$84$	0.723686	0.0789606
$85$	0	0
$86$	0.961825	0.103716
$87$	−1.00000	−0.107211
$88$	−5.51445	−0.587843
$89$	−2.23814	−0.237242	−0.118621	−	0.992940i	$-0.537847\pi$
$89$	−2.23814	−0.237242	−0.118621	+	0.992940i	$0.537847\pi$
$90$	0	0
$91$	3.59080	0.376418
$92$	−1.00000	−0.104257
$93$	6.00000	0.622171
$94$	7.96183	0.821200
$95$	0	0
$96$	−1.00000	−0.102062
$97$	2.55263	0.259180	0.129590	−	0.991568i	$-0.458634\pi$
$97$	2.55263	0.259180	0.129590	+	0.991568i	$0.458634\pi$
$98$	6.47628	0.654203
$99$	5.51445	0.554223
$100$	0	0
$101$	−1.06708	−0.106179	−0.0530893	−	0.998590i	$-0.516907\pi$
$101$	−1.06708	−0.106179	−0.0530893	+	0.998590i	$0.516907\pi$
$102$	−4.23814	−0.419638
$103$	−5.75259	−0.566820	−0.283410	−	0.958999i	$-0.591466\pi$
$103$	−5.75259	−0.566820	−0.283410	+	0.958999i	$0.591466\pi$
$104$	−4.96183	−0.486547
$105$	0	0
$106$	6.47628	0.629032
$107$	−15.9237	−1.53940	−0.769699	−	0.638407i	$-0.779594\pi$
$107$	−15.9237	−1.53940	−0.769699	+	0.638407i	$0.779594\pi$
$108$	1.00000	0.0962250
$109$	17.2670	1.65388	0.826942	−	0.562288i	$-0.190079\pi$
$109$	17.2670	1.65388	0.826942	+	0.562288i	$0.190079\pi$
$110$	0	0
$111$	−4.23814	−0.402266
$112$	0.723686	0.0683819
$113$	6.23814	0.586835	0.293417	−	0.955984i	$-0.405207\pi$
$113$	6.23814	0.586835	0.293417	+	0.955984i	$0.405207\pi$
$114$	−4.96183	−0.464718
$115$	0	0
$116$	−1.00000	−0.0928477
$117$	4.96183	0.458721
$118$	9.02891	0.831178
$119$	3.06708	0.281159
$120$	0	0
$121$	19.4092	1.76447
$122$	−7.44737	−0.674253
$123$	1.03817	0.0936091
$124$	6.00000	0.538816
$125$	0	0
$126$	−0.723686	−0.0644711
$127$	12.9526	1.14935	0.574677	−	0.818380i	$-0.305128\pi$
$127$	12.9526	1.14935	0.574677	+	0.818380i	$0.305128\pi$
$128$	−1.00000	−0.0883883
$129$	−0.961825	−0.0846840
$130$	0	0
$131$	11.5815	1.01188	0.505942	−	0.862568i	$-0.331145\pi$
$131$	11.5815	1.01188	0.505942	+	0.862568i	$0.331145\pi$
$132$	5.51445	0.479972
$133$	3.59080	0.311362
$134$	11.9237	1.03005
$135$	0	0
$136$	−4.23814	−0.363417
$137$	−22.2381	−1.89993	−0.949966	−	0.312353i	$-0.898883\pi$
$137$	−22.2381	−1.89993	−0.949966	+	0.312353i	$0.898883\pi$
$138$	1.00000	0.0851257
$139$	18.9907	1.61077	0.805386	−	0.592750i	$-0.201958\pi$
$139$	18.9907	1.61077	0.805386	+	0.592750i	$0.201958\pi$
$140$	0	0
$141$	−7.96183	−0.670507
$142$	0.514453	0.0431720
$143$	27.3618	2.28810
$144$	1.00000	0.0833333
$145$	0	0
$146$	0.447372	0.0370248
$147$	−6.47628	−0.534154
$148$	−4.23814	−0.348373
$149$	−5.92365	−0.485284	−0.242642	−	0.970116i	$-0.578014\pi$
$149$	−5.92365	−0.485284	−0.242642	+	0.970116i	$0.578014\pi$
$150$	0	0
$151$	6.47628	0.527032	0.263516	−	0.964655i	$-0.415118\pi$
$151$	6.47628	0.527032	0.263516	+	0.964655i	$0.415118\pi$
$152$	−4.96183	−0.402457
$153$	4.23814	0.342633
$154$	−3.99073	−0.321582
$155$	0	0
$156$	4.96183	0.397264
$157$	−9.37102	−0.747889	−0.373944	−	0.927451i	$-0.621995\pi$
$157$	−9.37102	−0.747889	−0.373944	+	0.927451i	$0.621995\pi$
$158$	5.51445	0.438706
$159$	−6.47628	−0.513602
$160$	0	0
$161$	−0.723686	−0.0570344
$162$	−1.00000	−0.0785674
$163$	13.9237	1.09058	0.545292	−	0.838246i	$-0.316419\pi$
$163$	13.9237	1.09058	0.545292	+	0.838246i	$0.316419\pi$
$164$	1.03817	0.0810678
$165$	0	0
$166$	−6.17106	−0.478967
$167$	−9.61971	−0.744396	−0.372198	−	0.928153i	$-0.621396\pi$
$167$	−9.61971	−0.744396	−0.372198	+	0.928153i	$0.621396\pi$
$168$	−0.723686	−0.0558336
$169$	11.6197	0.893824
$170$	0	0
$171$	4.96183	0.379440
$172$	−0.961825	−0.0733385
$173$	−1.51445	−0.115142	−0.0575709	−	0.998341i	$-0.518336\pi$
$173$	−1.51445	−0.115142	−0.0575709	+	0.998341i	$0.518336\pi$
$174$	1.00000	0.0758098
$175$	0	0
$176$	5.51445	0.415668
$177$	−9.02891	−0.678654
$178$	2.23814	0.167756
$179$	10.4763	0.783034	0.391517	−	0.920171i	$-0.371950\pi$
$179$	10.4763	0.783034	0.391517	+	0.920171i	$0.371950\pi$
$180$	0	0
$181$	−21.7433	−1.61617	−0.808084	−	0.589067i	$-0.799495\pi$
$181$	−21.7433	−1.61617	−0.808084	+	0.589067i	$0.799495\pi$
$182$	−3.59080	−0.266168
$183$	7.44737	0.550526
$184$	1.00000	0.0737210
$185$	0	0
$186$	−6.00000	−0.439941
$187$	23.3710	1.70906
$188$	−7.96183	−0.580676
$189$	0.723686	0.0526404
$190$	0	0
$191$	8.40920	0.608468	0.304234	−	0.952597i	$-0.401600\pi$
$191$	8.40920	0.608468	0.304234	+	0.952597i	$0.401600\pi$
$192$	1.00000	0.0721688
$193$	12.9907	0.935093	0.467547	−	0.883968i	$-0.345138\pi$
$193$	12.9907	0.935093	0.467547	+	0.883968i	$0.345138\pi$
$194$	−2.55263	−0.183268
$195$	0	0
$196$	−6.47628	−0.462591
$197$	−20.5815	−1.46637	−0.733187	−	0.680027i	$-0.761968\pi$
$197$	−20.5815	−1.46637	−0.733187	+	0.680027i	$0.761968\pi$
$198$	−5.51445	−0.391895
$199$	−4.64734	−0.329441	−0.164720	−	0.986340i	$-0.552672\pi$
$199$	−4.64734	−0.329441	−0.164720	+	0.986340i	$0.552672\pi$
$200$	0	0
$201$	−11.9237	−0.841029
$202$	1.06708	0.0750796
$203$	−0.723686	−0.0507928
$204$	4.23814	0.296729
$205$	0	0
$206$	5.75259	0.400802
$207$	−1.00000	−0.0695048
$208$	4.96183	0.344041
$209$	27.3618	1.89265
$210$	0	0
$211$	−23.3328	−1.60630	−0.803150	−	0.595777i	$-0.796844\pi$
$211$	−23.3328	−1.60630	−0.803150	+	0.595777i	$0.796844\pi$
$212$	−6.47628	−0.444793
$213$	−0.514453	−0.0352498
$214$	15.9237	1.08852
$215$	0	0
$216$	−1.00000	−0.0680414
$217$	4.34212	0.294762
$218$	−17.2670	−1.16947
$219$	−0.447372	−0.0302306
$220$	0	0
$221$	21.0289	1.41456
$222$	4.23814	0.284445
$223$	−25.2947	−1.69386	−0.846928	−	0.531707i	$-0.821551\pi$
$223$	−25.2947	−1.69386	−0.846928	+	0.531707i	$0.821551\pi$
$224$	−0.723686	−0.0483533
$225$	0	0
$226$	−6.23814	−0.414955
$227$	−7.13288	−0.473426	−0.236713	−	0.971580i	$-0.576070\pi$
$227$	−7.13288	−0.473426	−0.236713	+	0.971580i	$0.576070\pi$
$228$	4.96183	0.328605
$229$	−7.58154	−0.501002	−0.250501	−	0.968116i	$-0.580595\pi$
$229$	−7.58154	−0.501002	−0.250501	+	0.968116i	$0.580595\pi$
$230$	0	0
$231$	3.99073	0.262571
$232$	1.00000	0.0656532
$233$	−24.8855	−1.63030	−0.815151	−	0.579249i	$-0.803346\pi$
$233$	−24.8855	−1.63030	−0.815151	+	0.579249i	$0.803346\pi$
$234$	−4.96183	−0.324365
$235$	0	0
$236$	−9.02891	−0.587732
$237$	−5.51445	−0.358202
$238$	−3.06708	−0.198809
$239$	−18.0960	−1.17053	−0.585266	−	0.810841i	$-0.699010\pi$
$239$	−18.0960	−1.17053	−0.585266	+	0.810841i	$0.699010\pi$
$240$	0	0
$241$	26.8762	1.73125	0.865624	−	0.500694i	$-0.166922\pi$
$241$	26.8762	1.73125	0.865624	+	0.500694i	$0.166922\pi$
$242$	−19.4092	−1.24767
$243$	1.00000	0.0641500
$244$	7.44737	0.476769
$245$	0	0
$246$	−1.03817	−0.0661916
$247$	24.6197	1.56651
$248$	−6.00000	−0.381000
$249$	6.17106	0.391075
$250$	0	0
$251$	−8.79077	−0.554868	−0.277434	−	0.960745i	$-0.589484\pi$
$251$	−8.79077	−0.554868	−0.277434	+	0.960745i	$0.589484\pi$
$252$	0.723686	0.0455879
$253$	−5.51445	−0.346691
$254$	−12.9526	−0.812716
$255$	0	0
$256$	1.00000	0.0625000
$257$	10.9526	0.683202	0.341601	−	0.939845i	$-0.389031\pi$
$257$	10.9526	0.683202	0.341601	+	0.939845i	$0.389031\pi$
$258$	0.961825	0.0598806
$259$	−3.06708	−0.190579
$260$	0	0
$261$	−1.00000	−0.0618984
$262$	−11.5815	−0.715510
$263$	−20.8762	−1.28728	−0.643641	−	0.765327i	$-0.722577\pi$
$263$	−20.8762	−1.28728	−0.643641	+	0.765327i	$0.722577\pi$
$264$	−5.51445	−0.339391
$265$	0	0
$266$	−3.59080	−0.220166
$267$	−2.23814	−0.136972
$268$	−11.9237	−0.728353
$269$	21.3618	1.30245	0.651225	−	0.758885i	$-0.274256\pi$
$269$	21.3618	1.30245	0.651225	+	0.758885i	$0.274256\pi$
$270$	0	0
$271$	11.0289	0.669958	0.334979	−	0.942226i	$-0.391271\pi$
$271$	11.0289	0.669958	0.334979	+	0.942226i	$0.391271\pi$
$272$	4.23814	0.256975
$273$	3.59080	0.217325
$274$	22.2381	1.34346
$275$	0	0
$276$	−1.00000	−0.0601929
$277$	15.4381	0.927586	0.463793	−	0.885944i	$-0.346488\pi$
$277$	15.4381	0.927586	0.463793	+	0.885944i	$0.346488\pi$
$278$	−18.9907	−1.13899
$279$	6.00000	0.359211
$280$	0	0
$281$	−2.16179	−0.128962	−0.0644808	−	0.997919i	$-0.520539\pi$
$281$	−2.16179	−0.128962	−0.0644808	+	0.997919i	$0.520539\pi$
$282$	7.96183	0.474120
$283$	16.9526	1.00772	0.503862	−	0.863784i	$-0.331912\pi$
$283$	16.9526	1.00772	0.503862	+	0.863784i	$0.331912\pi$
$284$	−0.514453	−0.0305272
$285$	0	0
$286$	−27.3618	−1.61793
$287$	0.751312	0.0443486
$288$	−1.00000	−0.0589256
$289$	0.961825	0.0565780
$290$	0	0
$291$	2.55263	0.149638
$292$	−0.447372	−0.0261805
$293$	13.0289	0.761157	0.380578	−	0.924749i	$-0.375725\pi$
$293$	13.0289	0.761157	0.380578	+	0.924749i	$0.375725\pi$
$294$	6.47628	0.377704
$295$	0	0
$296$	4.23814	0.246337
$297$	5.51445	0.319981
$298$	5.92365	0.343148
$299$	−4.96183	−0.286950
$300$	0	0
$301$	−0.696059	−0.0401202
$302$	−6.47628	−0.372668
$303$	−1.06708	−0.0613022
$304$	4.96183	0.284580
$305$	0	0
$306$	−4.23814	−0.242278
$307$	27.0671	1.54480	0.772400	−	0.635136i	$-0.219056\pi$
$307$	27.0671	1.54480	0.772400	+	0.635136i	$0.219056\pi$
$308$	3.99073	0.227393
$309$	−5.75259	−0.327254
$310$	0	0
$311$	−31.4670	−1.78433	−0.892165	−	0.451709i	$-0.850814\pi$
$311$	−31.4670	−1.78433	−0.892165	+	0.451709i	$0.850814\pi$
$312$	−4.96183	−0.280908
$313$	27.2947	1.54279	0.771393	−	0.636359i	$-0.219560\pi$
$313$	27.2947	1.54279	0.771393	+	0.636359i	$0.219560\pi$
$314$	9.37102	0.528837
$315$	0	0
$316$	−5.51445	−0.310212
$317$	−11.0000	−0.617822	−0.308911	−	0.951091i	$-0.599964\pi$
$317$	−11.0000	−0.617822	−0.308911	+	0.951091i	$0.599964\pi$
$318$	6.47628	0.363172
$319$	−5.51445	−0.308750
$320$	0	0
$321$	−15.9237	−0.888772
$322$	0.723686	0.0403294
$323$	21.0289	1.17008
$324$	1.00000	0.0555556
$325$	0	0
$326$	−13.9237	−0.771160
$327$	17.2670	0.954870
$328$	−1.03817	−0.0573236
$329$	−5.76186	−0.317662
$330$	0	0
$331$	−8.51445	−0.467997	−0.233998	−	0.972237i	$-0.575181\pi$
$331$	−8.51445	−0.467997	−0.233998	+	0.972237i	$0.575181\pi$
$332$	6.17106	0.338681
$333$	−4.23814	−0.232249
$334$	9.61971	0.526367
$335$	0	0
$336$	0.723686	0.0394803
$337$	−1.52372	−0.0830024	−0.0415012	−	0.999138i	$-0.513214\pi$
$337$	−1.52372	−0.0830024	−0.0415012	+	0.999138i	$0.513214\pi$
$338$	−11.6197	−0.632029
$339$	6.23814	0.338809
$340$	0	0
$341$	33.0867	1.79175
$342$	−4.96183	−0.268305
$343$	−9.75259	−0.526591
$344$	0.961825	0.0518581
$345$	0	0
$346$	1.51445	0.0814175
$347$	25.5815	1.37329	0.686644	−	0.726993i	$-0.259083\pi$
$347$	25.5815	1.37329	0.686644	+	0.726993i	$0.259083\pi$
$348$	−1.00000	−0.0536056
$349$	−26.8855	−1.43915	−0.719573	−	0.694417i	$-0.755663\pi$
$349$	−26.8855	−1.43915	−0.719573	+	0.694417i	$0.755663\pi$
$350$	0	0
$351$	4.96183	0.264843
$352$	−5.51445	−0.293921
$353$	10.6197	0.565230	0.282615	−	0.959233i	$-0.408798\pi$
$353$	10.6197	0.565230	0.282615	+	0.959233i	$0.408798\pi$
$354$	9.02891	0.479881
$355$	0	0
$356$	−2.23814	−0.118621
$357$	3.06708	0.162327
$358$	−10.4763	−0.553689
$359$	−5.43810	−0.287012	−0.143506	−	0.989649i	$-0.545838\pi$
$359$	−5.43810	−0.287012	−0.143506	+	0.989649i	$0.545838\pi$
$360$	0	0
$361$	5.61971	0.295774
$362$	21.7433	1.14280
$363$	19.4092	1.01872
$364$	3.59080	0.188209
$365$	0	0
$366$	−7.44737	−0.389280
$367$	8.56190	0.446927	0.223464	−	0.974712i	$-0.428264\pi$
$367$	8.56190	0.446927	0.223464	+	0.974712i	$0.428264\pi$
$368$	−1.00000	−0.0521286
$369$	1.03817	0.0540452
$370$	0	0
$371$	−4.68679	−0.243326
$372$	6.00000	0.311086
$373$	−26.2960	−1.36155	−0.680776	−	0.732491i	$-0.738357\pi$
$373$	−26.2960	−1.36155	−0.680776	+	0.732491i	$0.738357\pi$
$374$	−23.3710	−1.20849
$375$	0	0
$376$	7.96183	0.410600
$377$	−4.96183	−0.255547
$378$	−0.723686	−0.0372224
$379$	−6.34212	−0.325773	−0.162886	−	0.986645i	$-0.552080\pi$
$379$	−6.34212	−0.325773	−0.162886	+	0.986645i	$0.552080\pi$
$380$	0	0
$381$	12.9526	0.663580
$382$	−8.40920	−0.430252
$383$	35.4959	1.81376	0.906878	−	0.421393i	$-0.138459\pi$
$383$	35.4959	1.81376	0.906878	+	0.421393i	$0.138459\pi$
$384$	−1.00000	−0.0510310
$385$	0	0
$386$	−12.9907	−0.661211
$387$	−0.961825	−0.0488923
$388$	2.55263	0.129590
$389$	−9.84730	−0.499278	−0.249639	−	0.968339i	$-0.580312\pi$
$389$	−9.84730	−0.499278	−0.249639	+	0.968339i	$0.580312\pi$
$390$	0	0
$391$	−4.23814	−0.214332
$392$	6.47628	0.327101
$393$	11.5815	0.584211
$394$	20.5815	1.03688
$395$	0	0
$396$	5.51445	0.277112
$397$	−18.8762	−0.947370	−0.473685	−	0.880694i	$-0.657076\pi$
$397$	−18.8762	−0.947370	−0.473685	+	0.880694i	$0.657076\pi$
$398$	4.64734	0.232950
$399$	3.59080	0.179765
$400$	0	0
$401$	33.5052	1.67317	0.836585	−	0.547838i	$-0.184549\pi$
$401$	33.5052	1.67317	0.836585	+	0.547838i	$0.184549\pi$
$402$	11.9237	0.594698
$403$	29.7710	1.48300
$404$	−1.06708	−0.0530893
$405$	0	0
$406$	0.723686	0.0359159
$407$	−23.3710	−1.15846
$408$	−4.23814	−0.209819
$409$	−25.5341	−1.26258	−0.631290	−	0.775547i	$-0.717474\pi$
$409$	−25.5341	−1.26258	−0.631290	+	0.775547i	$0.717474\pi$
$410$	0	0
$411$	−22.2381	−1.09693
$412$	−5.75259	−0.283410
$413$	−6.53409	−0.321522
$414$	1.00000	0.0491473
$415$	0	0
$416$	−4.96183	−0.243273
$417$	18.9907	0.929980
$418$	−27.3618	−1.33831
$419$	−37.2000	−1.81734	−0.908669	−	0.417518i	$-0.862900\pi$
$419$	−37.2000	−1.81734	−0.908669	+	0.417518i	$0.862900\pi$
$420$	0	0
$421$	−11.5815	−0.564449	−0.282225	−	0.959348i	$-0.591072\pi$
$421$	−11.5815	−0.564449	−0.282225	+	0.959348i	$0.591072\pi$
$422$	23.3328	1.13583
$423$	−7.96183	−0.387117
$424$	6.47628	0.314516
$425$	0	0
$426$	0.514453	0.0249254
$427$	5.38956	0.260819
$428$	−15.9237	−0.769699
$429$	27.3618	1.32104
$430$	0	0
$431$	7.37102	0.355050	0.177525	−	0.984116i	$-0.443191\pi$
$431$	7.37102	0.355050	0.177525	+	0.984116i	$0.443191\pi$
$432$	1.00000	0.0481125
$433$	19.3710	0.930912	0.465456	−	0.885071i	$-0.345890\pi$
$433$	19.3710	0.930912	0.465456	+	0.885071i	$0.345890\pi$
$434$	−4.34212	−0.208428
$435$	0	0
$436$	17.2670	0.826942
$437$	−4.96183	−0.237356
$438$	0.447372	0.0213763
$439$	17.5052	0.835477	0.417738	−	0.908567i	$-0.362823\pi$
$439$	17.5052	0.835477	0.417738	+	0.908567i	$0.362823\pi$
$440$	0	0
$441$	−6.47628	−0.308394
$442$	−21.0289	−1.00024
$443$	−17.3710	−0.825322	−0.412661	−	0.910885i	$-0.635401\pi$
$443$	−17.3710	−0.825322	−0.412661	+	0.910885i	$0.635401\pi$
$444$	−4.23814	−0.201133
$445$	0	0
$446$	25.2947	1.19774
$447$	−5.92365	−0.280179
$448$	0.723686	0.0341909
$449$	−16.8947	−0.797312	−0.398656	−	0.917100i	$-0.630523\pi$
$449$	−16.8947	−0.797312	−0.398656	+	0.917100i	$0.630523\pi$
$450$	0	0
$451$	5.72497	0.269578
$452$	6.23814	0.293417
$453$	6.47628	0.304282
$454$	7.13288	0.334763
$455$	0	0
$456$	−4.96183	−0.232359
$457$	21.9237	1.02555	0.512773	−	0.858524i	$-0.328618\pi$
$457$	21.9237	1.02555	0.512773	+	0.858524i	$0.328618\pi$
$458$	7.58154	0.354262
$459$	4.23814	0.197819
$460$	0	0
$461$	−2.65788	−0.123790	−0.0618950	−	0.998083i	$-0.519714\pi$
$461$	−2.65788	−0.123790	−0.0618950	+	0.998083i	$0.519714\pi$
$462$	−3.99073	−0.185666
$463$	−12.0000	−0.557687	−0.278844	−	0.960337i	$-0.589951\pi$
$463$	−12.0000	−0.557687	−0.278844	+	0.960337i	$0.589951\pi$
$464$	−1.00000	−0.0464238
$465$	0	0
$466$	24.8855	1.15280
$467$	−15.8289	−0.732476	−0.366238	−	0.930521i	$-0.619354\pi$
$467$	−15.8289	−0.732476	−0.366238	+	0.930521i	$0.619354\pi$
$468$	4.96183	0.229360
$469$	−8.62898	−0.398449
$470$	0	0
$471$	−9.37102	−0.431794
$472$	9.02891	0.415589
$473$	−5.30394	−0.243875
$474$	5.51445	0.253287
$475$	0	0
$476$	3.06708	0.140579
$477$	−6.47628	−0.296528
$478$	18.0960	0.827691
$479$	27.5723	1.25981	0.629905	−	0.776673i	$-0.283094\pi$
$479$	27.5723	1.25981	0.629905	+	0.776673i	$0.283094\pi$
$480$	0	0
$481$	−21.0289	−0.958836
$482$	−26.8762	−1.22418
$483$	−0.723686	−0.0329288
$484$	19.4092	0.882236
$485$	0	0
$486$	−1.00000	−0.0453609
$487$	16.6868	0.756151	0.378075	−	0.925775i	$-0.376586\pi$
$487$	16.6868	0.756151	0.378075	+	0.925775i	$0.376586\pi$
$488$	−7.44737	−0.337127
$489$	13.9237	0.629649
$490$	0	0
$491$	−13.4288	−0.606035	−0.303017	−	0.952985i	$-0.597994\pi$
$491$	−13.4288	−0.606035	−0.303017	+	0.952985i	$0.597994\pi$
$492$	1.03817	0.0468045
$493$	−4.23814	−0.190876
$494$	−24.6197	−1.10769
$495$	0	0
$496$	6.00000	0.269408
$497$	−0.372303	−0.0167001
$498$	−6.17106	−0.276532
$499$	−8.99073	−0.402480	−0.201240	−	0.979542i	$-0.564497\pi$
$499$	−8.99073	−0.402480	−0.201240	+	0.979542i	$0.564497\pi$
$500$	0	0
$501$	−9.61971	−0.429777
$502$	8.79077	0.392351
$503$	18.9618	0.845466	0.422733	−	0.906254i	$-0.361071\pi$
$503$	18.9618	0.845466	0.422733	+	0.906254i	$0.361071\pi$
$504$	−0.723686	−0.0322355
$505$	0	0
$506$	5.51445	0.245147
$507$	11.6197	0.516049
$508$	12.9526	0.574677
$509$	26.2276	1.16252	0.581259	−	0.813719i	$-0.302560\pi$
$509$	26.2276	1.16252	0.581259	+	0.813719i	$0.302560\pi$
$510$	0	0
$511$	−0.323757	−0.0143222
$512$	−1.00000	−0.0441942
$513$	4.96183	0.219070
$514$	−10.9526	−0.483097
$515$	0	0
$516$	−0.961825	−0.0423420
$517$	−43.9051	−1.93094
$518$	3.06708	0.134760
$519$	−1.51445	−0.0664771
$520$	0	0
$521$	32.2381	1.41238	0.706189	−	0.708023i	$-0.250413\pi$
$521$	32.2381	1.41238	0.706189	+	0.708023i	$0.250413\pi$
$522$	1.00000	0.0437688
$523$	5.59080	0.244469	0.122234	−	0.992501i	$-0.460994\pi$
$523$	5.59080	0.244469	0.122234	+	0.992501i	$0.460994\pi$
$524$	11.5815	0.505942
$525$	0	0
$526$	20.8762	0.910246
$527$	25.4288	1.10770
$528$	5.51445	0.239986
$529$	1.00000	0.0434783
$530$	0	0
$531$	−9.02891	−0.391821
$532$	3.59080	0.155681
$533$	5.15124	0.223125
$534$	2.23814	0.0968538
$535$	0	0
$536$	11.9237	0.515023
$537$	10.4763	0.452085
$538$	−21.3618	−0.920971
$539$	−35.7131	−1.53827
$540$	0	0
$541$	23.6486	1.01673	0.508367	−	0.861141i	$-0.330249\pi$
$541$	23.6486	1.01673	0.508367	+	0.861141i	$0.330249\pi$
$542$	−11.0289	−0.473732
$543$	−21.7433	−0.933095
$544$	−4.23814	−0.181709
$545$	0	0
$546$	−3.59080	−0.153672
$547$	39.3328	1.68175	0.840876	−	0.541229i	$-0.182041\pi$
$547$	39.3328	1.68175	0.840876	+	0.541229i	$0.182041\pi$
$548$	−22.2381	−0.949966
$549$	7.44737	0.317846
$550$	0	0
$551$	−4.96183	−0.211381
$552$	1.00000	0.0425628
$553$	−3.99073	−0.169703
$554$	−15.4381	−0.655902
$555$	0	0
$556$	18.9907	0.805386
$557$	−34.2658	−1.45189	−0.725944	−	0.687754i	$-0.758597\pi$
$557$	−34.2658	−1.45189	−0.725944	+	0.687754i	$0.758597\pi$
$558$	−6.00000	−0.254000
$559$	−4.77241	−0.201851
$560$	0	0
$561$	23.3710	0.986725
$562$	2.16179	0.0911896
$563$	20.5434	0.865799	0.432900	−	0.901442i	$-0.357490\pi$
$563$	20.5434	0.865799	0.432900	+	0.901442i	$0.357490\pi$
$564$	−7.96183	−0.335253
$565$	0	0
$566$	−16.9526	−0.712569
$567$	0.723686	0.0303920
$568$	0.514453	0.0215860
$569$	−27.4474	−1.15065	−0.575327	−	0.817924i	$-0.695125\pi$
$569$	−27.4474	−1.15065	−0.575327	+	0.817924i	$0.695125\pi$
$570$	0	0
$571$	−5.58154	−0.233580	−0.116790	−	0.993157i	$-0.537260\pi$
$571$	−5.58154	−0.233580	−0.116790	+	0.993157i	$0.537260\pi$
$572$	27.3618	1.14405
$573$	8.40920	0.351299
$574$	−0.751312	−0.0313592
$575$	0	0
$576$	1.00000	0.0416667
$577$	4.56190	0.189914	0.0949571	−	0.995481i	$-0.469729\pi$
$577$	4.56190	0.189914	0.0949571	+	0.995481i	$0.469729\pi$
$578$	−0.961825	−0.0400067
$579$	12.9907	0.539876
$580$	0	0
$581$	4.46591	0.185277
$582$	−2.55263	−0.105810
$583$	−35.7131	−1.47909
$584$	0.447372	0.0185124
$585$	0	0
$586$	−13.0289	−0.538219
$587$	−23.4474	−0.967777	−0.483888	−	0.875130i	$-0.660776\pi$
$587$	−23.4474	−0.967777	−0.483888	+	0.875130i	$0.660776\pi$
$588$	−6.47628	−0.267077
$589$	29.7710	1.22669
$590$	0	0
$591$	−20.5815	−0.846611
$592$	−4.23814	−0.174186
$593$	14.4092	0.591715	0.295857	−	0.955232i	$-0.404395\pi$
$593$	14.4092	0.591715	0.295857	+	0.955232i	$0.404395\pi$
$594$	−5.51445	−0.226261
$595$	0	0
$596$	−5.92365	−0.242642
$597$	−4.64734	−0.190203
$598$	4.96183	0.202904
$599$	27.9815	1.14329	0.571646	−	0.820500i	$-0.306305\pi$
$599$	27.9815	1.14329	0.571646	+	0.820500i	$0.306305\pi$
$600$	0	0
$601$	−6.38029	−0.260257	−0.130129	−	0.991497i	$-0.541539\pi$
$601$	−6.38029	−0.260257	−0.130129	+	0.991497i	$0.541539\pi$
$602$	0.696059	0.0283693
$603$	−11.9237	−0.485569
$604$	6.47628	0.263516
$605$	0	0
$606$	1.06708	0.0433472
$607$	41.6946	1.69233	0.846166	−	0.532920i	$-0.178905\pi$
$607$	41.6946	1.69233	0.846166	+	0.532920i	$0.178905\pi$
$608$	−4.96183	−0.201229
$609$	−0.723686	−0.0293252
$610$	0	0
$611$	−39.5052	−1.59821
$612$	4.23814	0.171317
$613$	−10.8486	−0.438170	−0.219085	−	0.975706i	$-0.570307\pi$
$613$	−10.8486	−0.438170	−0.219085	+	0.975706i	$0.570307\pi$
$614$	−27.0671	−1.09234
$615$	0	0
$616$	−3.99073	−0.160791
$617$	17.5052	0.704732	0.352366	−	0.935862i	$-0.385377\pi$
$617$	17.5052	0.704732	0.352366	+	0.935862i	$0.385377\pi$
$618$	5.75259	0.231403
$619$	22.3421	0.898005	0.449003	−	0.893530i	$-0.351779\pi$
$619$	22.3421	0.898005	0.449003	+	0.893530i	$0.351779\pi$
$620$	0	0
$621$	−1.00000	−0.0401286
$622$	31.4670	1.26171
$623$	−1.61971	−0.0648923
$624$	4.96183	0.198632
$625$	0	0
$626$	−27.2947	−1.09091
$627$	27.3618	1.09272
$628$	−9.37102	−0.373944
$629$	−17.9618	−0.716185
$630$	0	0
$631$	−13.4105	−0.533863	−0.266931	−	0.963716i	$-0.586010\pi$
$631$	−13.4105	−0.533863	−0.266931	+	0.963716i	$0.586010\pi$
$632$	5.51445	0.219353
$633$	−23.3328	−0.927397
$634$	11.0000	0.436866
$635$	0	0
$636$	−6.47628	−0.256801
$637$	−32.1342	−1.27320
$638$	5.51445	0.218319
$639$	−0.514453	−0.0203515
$640$	0	0
$641$	35.9538	1.42009	0.710046	−	0.704156i	$-0.248674\pi$
$641$	35.9538	1.42009	0.710046	+	0.704156i	$0.248674\pi$
$642$	15.9237	0.628456
$643$	2.48555	0.0980204	0.0490102	−	0.998798i	$-0.484393\pi$
$643$	2.48555	0.0980204	0.0490102	+	0.998798i	$0.484393\pi$
$644$	−0.723686	−0.0285172
$645$	0	0
$646$	−21.0289	−0.827371
$647$	44.4381	1.74704	0.873521	−	0.486786i	$-0.161831\pi$
$647$	44.4381	1.74704	0.873521	+	0.486786i	$0.161831\pi$
$648$	−1.00000	−0.0392837
$649$	−49.7895	−1.95441
$650$	0	0
$651$	4.34212	0.170181
$652$	13.9237	0.545292
$653$	−21.5526	−0.843420	−0.421710	−	0.906731i	$-0.638570\pi$
$653$	−21.5526	−0.843420	−0.421710	+	0.906731i	$0.638570\pi$
$654$	−17.2670	−0.675195
$655$	0	0
$656$	1.03817	0.0405339
$657$	−0.447372	−0.0174536
$658$	5.76186	0.224621
$659$	−7.33413	−0.285697	−0.142849	−	0.989745i	$-0.545626\pi$
$659$	−7.33413	−0.285697	−0.142849	+	0.989745i	$0.545626\pi$
$660$	0	0
$661$	−46.1618	−1.79549	−0.897743	−	0.440520i	$-0.854794\pi$
$661$	−46.1618	−1.79549	−0.897743	+	0.440520i	$0.854794\pi$
$662$	8.51445	0.330924
$663$	21.0289	0.816695
$664$	−6.17106	−0.239483
$665$	0	0
$666$	4.23814	0.164225
$667$	1.00000	0.0387202
$668$	−9.61971	−0.372198
$669$	−25.2947	−0.977949
$670$	0	0
$671$	41.0682	1.58542
$672$	−0.723686	−0.0279168
$673$	−37.8184	−1.45779	−0.728896	−	0.684624i	$-0.759966\pi$
$673$	−37.8184	−1.45779	−0.728896	+	0.684624i	$0.759966\pi$
$674$	1.52372	0.0586916
$675$	0	0
$676$	11.6197	0.446912
$677$	2.21051	0.0849569	0.0424785	−	0.999097i	$-0.486475\pi$
$677$	2.21051	0.0849569	0.0424785	+	0.999097i	$0.486475\pi$
$678$	−6.23814	−0.239574
$679$	1.84730	0.0708929
$680$	0	0
$681$	−7.13288	−0.273333
$682$	−33.0867	−1.26696
$683$	−29.6393	−1.13412	−0.567059	−	0.823677i	$-0.691919\pi$
$683$	−29.6393	−1.13412	−0.567059	+	0.823677i	$0.691919\pi$
$684$	4.96183	0.189720
$685$	0	0
$686$	9.75259	0.372356
$687$	−7.58154	−0.289254
$688$	−0.961825	−0.0366692
$689$	−32.1342	−1.22421
$690$	0	0
$691$	−40.1512	−1.52743	−0.763713	−	0.645556i	$-0.776626\pi$
$691$	−40.1512	−1.52743	−0.763713	+	0.645556i	$0.776626\pi$
$692$	−1.51445	−0.0575709
$693$	3.99073	0.151595
$694$	−25.5815	−0.971062
$695$	0	0
$696$	1.00000	0.0379049
$697$	4.39993	0.166659
$698$	26.8855	1.01763
$699$	−24.8855	−0.941255
$700$	0	0
$701$	−40.8762	−1.54387	−0.771937	−	0.635700i	$-0.780712\pi$
$701$	−40.8762	−1.54387	−0.771937	+	0.635700i	$0.780712\pi$
$702$	−4.96183	−0.187272
$703$	−21.0289	−0.793120
$704$	5.51445	0.207834
$705$	0	0
$706$	−10.6197	−0.399678
$707$	−0.772232	−0.0290428
$708$	−9.02891	−0.339327
$709$	−25.0565	−0.941018	−0.470509	−	0.882395i	$-0.655930\pi$
$709$	−25.0565	−0.941018	−0.470509	+	0.882395i	$0.655930\pi$
$710$	0	0
$711$	−5.51445	−0.206808
$712$	2.23814	0.0838778
$713$	−6.00000	−0.224702
$714$	−3.06708	−0.114783
$715$	0	0
$716$	10.4763	0.391517
$717$	−18.0960	−0.675807
$718$	5.43810	0.202948
$719$	−34.5145	−1.28717	−0.643586	−	0.765374i	$-0.722554\pi$
$719$	−34.5145	−1.28717	−0.643586	+	0.765374i	$0.722554\pi$
$720$	0	0
$721$	−4.16307	−0.155041
$722$	−5.61971	−0.209144
$723$	26.8762	0.999537
$724$	−21.7433	−0.808084
$725$	0	0
$726$	−19.4092	−0.720343
$727$	37.0289	1.37333	0.686663	−	0.726976i	$-0.259075\pi$
$727$	37.0289	1.37333	0.686663	+	0.726976i	$0.259075\pi$
$728$	−3.59080	−0.133084
$729$	1.00000	0.0370370
$730$	0	0
$731$	−4.07635	−0.150769
$732$	7.44737	0.275263
$733$	8.02763	0.296507	0.148254	−	0.988949i	$-0.452635\pi$
$733$	8.02763	0.296507	0.148254	+	0.988949i	$0.452635\pi$
$734$	−8.56190	−0.316025
$735$	0	0
$736$	1.00000	0.0368605
$737$	−65.7524	−2.42202
$738$	−1.03817	−0.0382157
$739$	−34.3432	−1.26334	−0.631668	−	0.775239i	$-0.717629\pi$
$739$	−34.3432	−1.26334	−0.631668	+	0.775239i	$0.717629\pi$
$740$	0	0
$741$	24.6197	0.904428
$742$	4.68679	0.172058
$743$	−30.8855	−1.13308	−0.566539	−	0.824035i	$-0.691718\pi$
$743$	−30.8855	−1.13308	−0.566539	+	0.824035i	$0.691718\pi$
$744$	−6.00000	−0.219971
$745$	0	0
$746$	26.2960	0.962763
$747$	6.17106	0.225787
$748$	23.3710	0.854529
$749$	−11.5237	−0.421068
$750$	0	0
$751$	19.0658	0.695721	0.347860	−	0.937546i	$-0.386908\pi$
$751$	19.0658	0.695721	0.347860	+	0.937546i	$0.386908\pi$
$752$	−7.96183	−0.290338
$753$	−8.79077	−0.320353
$754$	4.96183	0.180699
$755$	0	0
$756$	0.723686	0.0263202
$757$	−26.1040	−0.948765	−0.474383	−	0.880319i	$-0.657329\pi$
$757$	−26.1040	−0.948765	−0.474383	+	0.880319i	$0.657329\pi$
$758$	6.34212	0.230356
$759$	−5.51445	−0.200162
$760$	0	0
$761$	16.9433	0.614194	0.307097	−	0.951678i	$-0.400642\pi$
$761$	16.9433	0.614194	0.307097	+	0.951678i	$0.400642\pi$
$762$	−12.9526	−0.469222
$763$	12.4959	0.452383
$764$	8.40920	0.304234
$765$	0	0
$766$	−35.4959	−1.28252
$767$	−44.7999	−1.61763
$768$	1.00000	0.0360844
$769$	−41.5815	−1.49947	−0.749734	−	0.661739i	$-0.769819\pi$
$769$	−41.5815	−1.49947	−0.749734	+	0.661739i	$0.769819\pi$
$770$	0	0
$771$	10.9526	0.394447
$772$	12.9907	0.467547
$773$	39.2183	1.41059	0.705293	−	0.708916i	$-0.250816\pi$
$773$	39.2183	1.41059	0.705293	+	0.708916i	$0.250816\pi$
$774$	0.961825	0.0345721
$775$	0	0
$776$	−2.55263	−0.0916340
$777$	−3.06708	−0.110031
$778$	9.84730	0.353043
$779$	5.15124	0.184562
$780$	0	0
$781$	−2.83693	−0.101513
$782$	4.23814	0.151556
$783$	−1.00000	−0.0357371
$784$	−6.47628	−0.231296
$785$	0	0
$786$	−11.5815	−0.413100
$787$	−17.3039	−0.616819	−0.308409	−	0.951254i	$-0.599797\pi$
$787$	−17.3039	−0.616819	−0.308409	+	0.951254i	$0.599797\pi$
$788$	−20.5815	−0.733187
$789$	−20.8762	−0.743213
$790$	0	0
$791$	4.51445	0.160515
$792$	−5.51445	−0.195948
$793$	36.9526	1.31222
$794$	18.8762	0.669892
$795$	0	0
$796$	−4.64734	−0.164720
$797$	12.3236	0.436524	0.218262	−	0.975890i	$-0.429961\pi$
$797$	12.3236	0.436524	0.218262	+	0.975890i	$0.429961\pi$
$798$	−3.59080	−0.127113
$799$	−33.7433	−1.19375
$800$	0	0
$801$	−2.23814	−0.0790808
$802$	−33.5052	−1.18311
$803$	−2.46701	−0.0870589
$804$	−11.9237	−0.420515
$805$	0	0
$806$	−29.7710	−1.04864
$807$	21.3618	0.751969
$808$	1.06708	0.0375398
$809$	−21.3618	−0.751039	−0.375520	−	0.926814i	$-0.622536\pi$
$809$	−21.3618	−0.751039	−0.375520	+	0.926814i	$0.622536\pi$
$810$	0	0
$811$	47.0104	1.65076	0.825379	−	0.564579i	$-0.190962\pi$
$811$	47.0104	1.65076	0.825379	+	0.564579i	$0.190962\pi$
$812$	−0.723686	−0.0253964
$813$	11.0289	0.386801
$814$	23.3710	0.819154
$815$	0	0
$816$	4.23814	0.148365
$817$	−4.77241	−0.166965
$818$	25.5341	0.892779
$819$	3.59080	0.125473
$820$	0	0
$821$	30.4855	1.06395	0.531976	−	0.846759i	$-0.321449\pi$
$821$	30.4855	1.06395	0.531976	+	0.846759i	$0.321449\pi$
$822$	22.2381	0.775644
$823$	−6.34212	−0.221072	−0.110536	−	0.993872i	$-0.535257\pi$
$823$	−6.34212	−0.221072	−0.110536	+	0.993872i	$0.535257\pi$
$824$	5.75259	0.200401
$825$	0	0
$826$	6.53409	0.227350
$827$	56.1340	1.95197	0.975985	−	0.217838i	$-0.0699004\pi$
$827$	56.1340	1.95197	0.975985	+	0.217838i	$0.0699004\pi$
$828$	−1.00000	−0.0347524
$829$	−9.93292	−0.344985	−0.172492	−	0.985011i	$-0.555182\pi$
$829$	−9.93292	−0.344985	−0.172492	+	0.985011i	$0.555182\pi$
$830$	0	0
$831$	15.4381	0.535542
$832$	4.96183	0.172020
$833$	−27.4474	−0.950995
$834$	−18.9907	−0.657595
$835$	0	0
$836$	27.3618	0.946326
$837$	6.00000	0.207390
$838$	37.2000	1.28505
$839$	31.7802	1.09718	0.548588	−	0.836093i	$-0.315166\pi$
$839$	31.7802	1.09718	0.548588	+	0.836093i	$0.315166\pi$
$840$	0	0
$841$	−28.0000	−0.965517
$842$	11.5815	0.399126
$843$	−2.16179	−0.0744560
$844$	−23.3328	−0.803150
$845$	0	0
$846$	7.96183	0.273733
$847$	14.0462	0.482632
$848$	−6.47628	−0.222396
$849$	16.9526	0.581810
$850$	0	0
$851$	4.23814	0.145282
$852$	−0.514453	−0.0176249
$853$	−5.30394	−0.181603	−0.0908017	−	0.995869i	$-0.528943\pi$
$853$	−5.30394	−0.181603	−0.0908017	+	0.995869i	$0.528943\pi$
$854$	−5.38956	−0.184427
$855$	0	0
$856$	15.9237	0.544259
$857$	−19.6579	−0.671501	−0.335750	−	0.941951i	$-0.608990\pi$
$857$	−19.6579	−0.671501	−0.335750	+	0.941951i	$0.608990\pi$
$858$	−27.3618	−0.934115
$859$	57.7524	1.97049	0.985244	−	0.171159i	$-0.0547510\pi$
$859$	57.7524	1.97049	0.985244	+	0.171159i	$0.0547510\pi$
$860$	0	0
$861$	0.751312	0.0256047
$862$	−7.37102	−0.251058
$863$	−27.3328	−0.930421	−0.465210	−	0.885200i	$-0.654021\pi$
$863$	−27.3328	−0.930421	−0.465210	+	0.885200i	$0.654021\pi$
$864$	−1.00000	−0.0340207
$865$	0	0
$866$	−19.3710	−0.658254
$867$	0.961825	0.0326653
$868$	4.34212	0.147381
$869$	−30.4092	−1.03156
$870$	0	0
$871$	−59.1631	−2.00466
$872$	−17.2670	−0.584736
$873$	2.55263	0.0863934
$874$	4.96183	0.167836
$875$	0	0
$876$	−0.447372	−0.0151153
$877$	14.0000	0.472746	0.236373	−	0.971662i	$-0.424041\pi$
$877$	14.0000	0.472746	0.236373	+	0.971662i	$0.424041\pi$
$878$	−17.5052	−0.590771
$879$	13.0289	0.439454
$880$	0	0
$881$	19.4474	0.655199	0.327599	−	0.944817i	$-0.393760\pi$
$881$	19.4474	0.655199	0.327599	+	0.944817i	$0.393760\pi$
$882$	6.47628	0.218068
$883$	−34.2854	−1.15380	−0.576898	−	0.816816i	$-0.695737\pi$
$883$	−34.2854	−1.15380	−0.576898	+	0.816816i	$0.695737\pi$
$884$	21.0289	0.707279
$885$	0	0
$886$	17.3710	0.583591
$887$	−35.9433	−1.20686	−0.603429	−	0.797417i	$-0.706199\pi$
$887$	−35.9433	−1.20686	−0.603429	+	0.797417i	$0.706199\pi$
$888$	4.23814	0.142223
$889$	9.37358	0.314380
$890$	0	0
$891$	5.51445	0.184741
$892$	−25.2947	−0.846928
$893$	−39.5052	−1.32199
$894$	5.92365	0.198117
$895$	0	0
$896$	−0.723686	−0.0241766
$897$	−4.96183	−0.165671
$898$	16.8947	0.563785
$899$	−6.00000	−0.200111
$900$	0	0
$901$	−27.4474	−0.914405
$902$	−5.72497	−0.190621
$903$	−0.696059	−0.0231634
$904$	−6.23814	−0.207477
$905$	0	0
$906$	−6.47628	−0.215160
$907$	34.0671	1.13118	0.565589	−	0.824687i	$-0.308649\pi$
$907$	34.0671	1.13118	0.565589	+	0.824687i	$0.308649\pi$
$908$	−7.13288	−0.236713
$909$	−1.06708	−0.0353929
$910$	0	0
$911$	16.0671	0.532326	0.266163	−	0.963928i	$-0.414244\pi$
$911$	16.0671	0.532326	0.266163	+	0.963928i	$0.414244\pi$
$912$	4.96183	0.164302
$913$	34.0300	1.12623
$914$	−21.9237	−0.725170
$915$	0	0
$916$	−7.58154	−0.250501
$917$	8.38139	0.276778
$918$	−4.23814	−0.139879
$919$	−19.7619	−0.651884	−0.325942	−	0.945390i	$-0.605681\pi$
$919$	−19.7619	−0.651884	−0.325942	+	0.945390i	$0.605681\pi$
$920$	0	0
$921$	27.0671	0.891891
$922$	2.65788	0.0875328
$923$	−2.55263	−0.0840208
$924$	3.99073	0.131285
$925$	0	0
$926$	12.0000	0.394344
$927$	−5.75259	−0.188940
$928$	1.00000	0.0328266
$929$	−6.33285	−0.207774	−0.103887	−	0.994589i	$-0.533128\pi$
$929$	−6.33285	−0.207774	−0.103887	+	0.994589i	$0.533128\pi$
$930$	0	0
$931$	−32.1342	−1.05315
$932$	−24.8855	−0.815151
$933$	−31.4670	−1.03018
$934$	15.8289	0.517939
$935$	0	0
$936$	−4.96183	−0.162182
$937$	25.8473	0.844395	0.422197	−	0.906504i	$-0.361259\pi$
$937$	25.8473	0.844395	0.422197	+	0.906504i	$0.361259\pi$
$938$	8.62898	0.281746
$939$	27.2947	0.890728
$940$	0	0
$941$	−9.04744	−0.294938	−0.147469	−	0.989067i	$-0.547113\pi$
$941$	−9.04744	−0.294938	−0.147469	+	0.989067i	$0.547113\pi$
$942$	9.37102	0.305324
$943$	−1.03817	−0.0338076
$944$	−9.02891	−0.293866
$945$	0	0
$946$	5.30394	0.172446
$947$	0.971093	0.0315563	0.0157781	−	0.999876i	$-0.494977\pi$
$947$	0.971093	0.0315563	0.0157781	+	0.999876i	$0.494977\pi$
$948$	−5.51445	−0.179101
$949$	−2.21978	−0.0720571
$950$	0	0
$951$	−11.0000	−0.356699
$952$	−3.06708	−0.0994047
$953$	5.19070	0.168143	0.0840716	−	0.996460i	$-0.473208\pi$
$953$	5.19070	0.168143	0.0840716	+	0.996460i	$0.473208\pi$
$954$	6.47628	0.209677
$955$	0	0
$956$	−18.0960	−0.585266
$957$	−5.51445	−0.178257
$958$	−27.5723	−0.890820
$959$	−16.0934	−0.519684
$960$	0	0
$961$	5.00000	0.161290
$962$	21.0289	0.677999
$963$	−15.9237	−0.513132
$964$	26.8762	0.865624
$965$	0	0
$966$	0.723686	0.0232842
$967$	17.0289	0.547613	0.273806	−	0.961785i	$-0.411717\pi$
$967$	17.0289	0.547613	0.273806	+	0.961785i	$0.411717\pi$
$968$	−19.4092	−0.623835
$969$	21.0289	0.675546
$970$	0	0
$971$	−25.4683	−0.817316	−0.408658	−	0.912688i	$-0.634003\pi$
$971$	−25.4683	−0.817316	−0.408658	+	0.912688i	$0.634003\pi$
$972$	1.00000	0.0320750
$973$	13.7433	0.440591
$974$	−16.6868	−0.534679
$975$	0	0
$976$	7.44737	0.238385
$977$	−23.9513	−0.766269	−0.383135	−	0.923693i	$-0.625155\pi$
$977$	−23.9513	−0.766269	−0.383135	+	0.923693i	$0.625155\pi$
$978$	−13.9237	−0.445229
$979$	−12.3421	−0.394456
$980$	0	0
$981$	17.2670	0.551294
$982$	13.4288	0.428531
$983$	13.5723	0.432888	0.216444	−	0.976295i	$-0.430554\pi$
$983$	13.5723	0.432888	0.216444	+	0.976295i	$0.430554\pi$
$984$	−1.03817	−0.0330958
$985$	0	0
$986$	4.23814	0.134970
$987$	−5.76186	−0.183402
$988$	24.6197	0.783257
$989$	0.961825	0.0305843
$990$	0	0
$991$	25.9237	0.823492	0.411746	−	0.911299i	$-0.364919\pi$
$991$	25.9237	0.823492	0.411746	+	0.911299i	$0.364919\pi$
$992$	−6.00000	−0.190500
$993$	−8.51445	−0.270198
$994$	0.372303	0.0118087
$995$	0	0
$996$	6.17106	0.195537
$997$	−2.06708	−0.0654651	−0.0327326	−	0.999464i	$-0.510421\pi$
$997$	−2.06708	−0.0654651	−0.0327326	+	0.999464i	$0.510421\pi$
$998$	8.99073	0.284597
$999$	−4.23814	−0.134089

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	3450.2.a.bp.1.2	✓	3
5.2	odd	4		3450.2.d.ba.2899.2		6
5.3	odd	4		3450.2.d.ba.2899.5		6
5.4	even	2		3450.2.a.bs.1.2	yes	3

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
3450.2.a.bp.1.2	✓	3	1.1	even	1	trivial
3450.2.a.bs.1.2	yes	3	5.4	even	2
3450.2.d.ba.2899.2		6	5.2	odd	4
3450.2.d.ba.2899.5		6	5.3	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 3450 = 2 \cdot 3 \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3450.a (trivial)

\(f(q)\)	\(=\)	\(q-1.00000 q^{2} +1.00000 q^{3} +1.00000 q^{4} -1.00000 q^{6} +0.723686 q^{7} -1.00000 q^{8} +1.00000 q^{9} +O(q^{10})\)	\(q-1.00000 q^{2} +1.00000 q^{3} +1.00000 q^{4} -1.00000 q^{6} +0.723686 q^{7} -1.00000 q^{8} +1.00000 q^{9} +5.51445 q^{11} +1.00000 q^{12} +4.96183 q^{13} -0.723686 q^{14} +1.00000 q^{16} +4.23814 q^{17} -1.00000 q^{18} +4.96183 q^{19} +0.723686 q^{21} -5.51445 q^{22} -1.00000 q^{23} -1.00000 q^{24} -4.96183 q^{26} +1.00000 q^{27} +0.723686 q^{28} -1.00000 q^{29} +6.00000 q^{31} -1.00000 q^{32} +5.51445 q^{33} -4.23814 q^{34} +1.00000 q^{36} -4.23814 q^{37} -4.96183 q^{38} +4.96183 q^{39} +1.03817 q^{41} -0.723686 q^{42} -0.961825 q^{43} +5.51445 q^{44} +1.00000 q^{46} -7.96183 q^{47} +1.00000 q^{48} -6.47628 q^{49} +4.23814 q^{51} +4.96183 q^{52} -6.47628 q^{53} -1.00000 q^{54} -0.723686 q^{56} +4.96183 q^{57} +1.00000 q^{58} -9.02891 q^{59} +7.44737 q^{61} -6.00000 q^{62} +0.723686 q^{63} +1.00000 q^{64} -5.51445 q^{66} -11.9237 q^{67} +4.23814 q^{68} -1.00000 q^{69} -0.514453 q^{71} -1.00000 q^{72} -0.447372 q^{73} +4.23814 q^{74} +4.96183 q^{76} +3.99073 q^{77} -4.96183 q^{78} -5.51445 q^{79} +1.00000 q^{81} -1.03817 q^{82} +6.17106 q^{83} +0.723686 q^{84} +0.961825 q^{86} -1.00000 q^{87} -5.51445 q^{88} -2.23814 q^{89} +3.59080 q^{91} -1.00000 q^{92} +6.00000 q^{93} +7.96183 q^{94} -1.00000 q^{96} +2.55263 q^{97} +6.47628 q^{98} +5.51445 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 3 q - 3 q^{2} + 3 q^{3} + 3 q^{4} - 3 q^{6} + q^{7} - 3 q^{8} + 3 q^{9}+O(q^{10}) \) 3 * q - 3 * q^2 + 3 * q^3 + 3 * q^4 - 3 * q^6 + q^7 - 3 * q^8 + 3 * q^9	\( 3 q - 3 q^{2} + 3 q^{3} + 3 q^{4} - 3 q^{6} + q^{7} - 3 q^{8} + 3 q^{9} + 3 q^{11} + 3 q^{12} - q^{13} - q^{14} + 3 q^{16} - 2 q^{17} - 3 q^{18} - q^{19} + q^{21} - 3 q^{22} - 3 q^{23} - 3 q^{24} + q^{26} + 3 q^{27} + q^{28} - 3 q^{29} + 18 q^{31} - 3 q^{32} + 3 q^{33} + 2 q^{34} + 3 q^{36} + 2 q^{37} + q^{38} - q^{39} + 19 q^{41} - q^{42} + 13 q^{43} + 3 q^{44} + 3 q^{46} - 8 q^{47} + 3 q^{48} + 10 q^{49} - 2 q^{51} - q^{52} + 10 q^{53} - 3 q^{54} - q^{56} - q^{57} + 3 q^{58} + 20 q^{61} - 18 q^{62} + q^{63} + 3 q^{64} - 3 q^{66} - 4 q^{67} - 2 q^{68} - 3 q^{69} + 12 q^{71} - 3 q^{72} + q^{73} - 2 q^{74} - q^{76} - 31 q^{77} + q^{78} - 3 q^{79} + 3 q^{81} - 19 q^{82} + 15 q^{83} + q^{84} - 13 q^{86} - 3 q^{87} - 3 q^{88} + 8 q^{89} + 29 q^{91} - 3 q^{92} + 18 q^{93} + 8 q^{94} - 3 q^{96} + 10 q^{97} - 10 q^{98} + 3 q^{99}+O(q^{100}) \) 3 * q - 3 * q^2 + 3 * q^3 + 3 * q^4 - 3 * q^6 + q^7 - 3 * q^8 + 3 * q^9 + 3 * q^11 + 3 * q^12 - q^13 - q^14 + 3 * q^16 - 2 * q^17 - 3 * q^18 - q^19 + q^21 - 3 * q^22 - 3 * q^23 - 3 * q^24 + q^26 + 3 * q^27 + q^28 - 3 * q^29 + 18 * q^31 - 3 * q^32 + 3 * q^33 + 2 * q^34 + 3 * q^36 + 2 * q^37 + q^38 - q^39 + 19 * q^41 - q^42 + 13 * q^43 + 3 * q^44 + 3 * q^46 - 8 * q^47 + 3 * q^48 + 10 * q^49 - 2 * q^51 - q^52 + 10 * q^53 - 3 * q^54 - q^56 - q^57 + 3 * q^58 + 20 * q^61 - 18 * q^62 + q^63 + 3 * q^64 - 3 * q^66 - 4 * q^67 - 2 * q^68 - 3 * q^69 + 12 * q^71 - 3 * q^72 + q^73 - 2 * q^74 - q^76 - 31 * q^77 + q^78 - 3 * q^79 + 3 * q^81 - 19 * q^82 + 15 * q^83 + q^84 - 13 * q^86 - 3 * q^87 - 3 * q^88 + 8 * q^89 + 29 * q^91 - 3 * q^92 + 18 * q^93 + 8 * q^94 - 3 * q^96 + 10 * q^97 - 10 * q^98 + 3 * q^99

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