LMFDB - Embedded newform 5950.2.a.bh.1.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [5950,2,Mod(1,5950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(5950, 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("5950.1");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 5950 = 2 \cdot 5^{2} \cdot 7 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	5950.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:	$47.5109892027$
Analytic rank:	$1$
Dimension:	$3$
Coefficient field:	3.3.257.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{3} - x^{2} - 4x + 3 $ x^3 - x^2 - 4*x + 3
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Fricke sign:	$+1$
Sato-Tate group:	$\mathrm{SU}(2)$

Embedding invariants

Embedding label			1.2
Root			$0.713538$ of defining polynomial
Character	$\chi$	$=$	5950.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+1.00000 q^{2} -0.286462 q^{3} +1.00000 q^{4} -0.286462 q^{6} +1.00000 q^{7} +1.00000 q^{8} -2.91794 q^{9} +O(q^{10})$	\(q+1.00000 q^{2} -0.286462 q^{3} +1.00000 q^{4} -0.286462 q^{6} +1.00000 q^{7} +1.00000 q^{8} -2.91794 q^{9} +1.20440 q^{11} -0.286462 q^{12} +1.77733 q^{13} +1.00000 q^{14} +1.00000 q^{16} -1.00000 q^{17} -2.91794 q^{18} -7.69527 q^{19} -0.286462 q^{21} +1.20440 q^{22} -6.69527 q^{23} -0.286462 q^{24} +1.77733 q^{26} +1.69527 q^{27} +1.00000 q^{28} +4.47259 q^{29} +1.71354 q^{31} +1.00000 q^{32} -0.345015 q^{33} -1.00000 q^{34} -2.91794 q^{36} -4.42708 q^{37} -7.69527 q^{38} -0.509136 q^{39} +8.24992 q^{41} -0.286462 q^{42} -3.63148 q^{43} +1.20440 q^{44} -6.69527 q^{46} -13.2499 q^{47} -0.286462 q^{48} +1.00000 q^{49} +0.286462 q^{51} +1.77733 q^{52} +8.26819 q^{53} +1.69527 q^{54} +1.00000 q^{56} +2.20440 q^{57} +4.47259 q^{58} -5.08206 q^{59} -7.75905 q^{61} +1.71354 q^{62} -2.91794 q^{63} +1.00000 q^{64} -0.345015 q^{66} -2.71354 q^{67} -1.00000 q^{68} +1.91794 q^{69} -15.0272 q^{71} -2.91794 q^{72} -1.36329 q^{73} -4.42708 q^{74} -7.69527 q^{76} +1.20440 q^{77} -0.509136 q^{78} -7.74078 q^{79} +8.26819 q^{81} +8.24992 q^{82} -2.85939 q^{83} -0.286462 q^{84} -3.63148 q^{86} -1.28123 q^{87} +1.20440 q^{88} -15.2499 q^{89} +1.77733 q^{91} -6.69527 q^{92} -0.490864 q^{93} -13.2499 q^{94} -0.286462 q^{96} -1.90490 q^{97} +1.00000 q^{98} -3.51437 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 3 q + 3 q^{2} - 2 q^{3} + 3 q^{4} - 2 q^{6} + 3 q^{7} + 3 q^{8} + q^{9}+O(q^{10}) $ 3 * q + 3 * q^2 - 2 * q^3 + 3 * q^4 - 2 * q^6 + 3 * q^7 + 3 * q^8 + q^9	$ 3 q + 3 q^{2} - 2 q^{3} + 3 q^{4} - 2 q^{6} + 3 q^{7} + 3 q^{8} + q^{9} - 5 q^{11} - 2 q^{12} - q^{13} + 3 q^{14} + 3 q^{16} - 3 q^{17} + q^{18} - 7 q^{19} - 2 q^{21} - 5 q^{22} - 4 q^{23} - 2 q^{24} - q^{26} - 11 q^{27} + 3 q^{28} - 9 q^{29} + 4 q^{31} + 3 q^{32} + 11 q^{33} - 3 q^{34} + q^{36} - 11 q^{37} - 7 q^{38} - 9 q^{39} - 4 q^{41} - 2 q^{42} - 5 q^{44} - 4 q^{46} - 11 q^{47} - 2 q^{48} + 3 q^{49} + 2 q^{51} - q^{52} + 11 q^{53} - 11 q^{54} + 3 q^{56} - 2 q^{57} - 9 q^{58} - 25 q^{59} - 2 q^{61} + 4 q^{62} + q^{63} + 3 q^{64} + 11 q^{66} - 7 q^{67} - 3 q^{68} - 4 q^{69} - 10 q^{71} + q^{72} - 7 q^{73} - 11 q^{74} - 7 q^{76} - 5 q^{77} - 9 q^{78} + 13 q^{79} + 11 q^{81} - 4 q^{82} - 12 q^{83} - 2 q^{84} + 3 q^{87} - 5 q^{88} - 17 q^{89} - q^{91} - 4 q^{92} + 6 q^{93} - 11 q^{94} - 2 q^{96} + 11 q^{97} + 3 q^{98} - 26 q^{99}+O(q^{100}) $ 3 * q + 3 * q^2 - 2 * q^3 + 3 * q^4 - 2 * q^6 + 3 * q^7 + 3 * q^8 + q^9 - 5 * q^11 - 2 * q^12 - q^13 + 3 * q^14 + 3 * q^16 - 3 * q^17 + q^18 - 7 * q^19 - 2 * q^21 - 5 * q^22 - 4 * q^23 - 2 * q^24 - q^26 - 11 * q^27 + 3 * q^28 - 9 * q^29 + 4 * q^31 + 3 * q^32 + 11 * q^33 - 3 * q^34 + q^36 - 11 * q^37 - 7 * q^38 - 9 * q^39 - 4 * q^41 - 2 * q^42 - 5 * q^44 - 4 * q^46 - 11 * q^47 - 2 * q^48 + 3 * q^49 + 2 * q^51 - q^52 + 11 * q^53 - 11 * q^54 + 3 * q^56 - 2 * q^57 - 9 * q^58 - 25 * q^59 - 2 * q^61 + 4 * q^62 + q^63 + 3 * q^64 + 11 * q^66 - 7 * q^67 - 3 * q^68 - 4 * q^69 - 10 * q^71 + q^72 - 7 * q^73 - 11 * q^74 - 7 * q^76 - 5 * q^77 - 9 * q^78 + 13 * q^79 + 11 * q^81 - 4 * q^82 - 12 * q^83 - 2 * q^84 + 3 * q^87 - 5 * q^88 - 17 * q^89 - q^91 - 4 * q^92 + 6 * q^93 - 11 * q^94 - 2 * q^96 + 11 * q^97 + 3 * q^98 - 26 * 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
$3$	−0.286462	−0.165389	−0.0826945	−	0.996575i	$-0.526353\pi$
$3$	−0.286462	−0.165389	−0.0826945	+	0.996575i	$0.526353\pi$
$4$	1.00000	0.500000
$5$	0	0
$5$	0	0
$6$	−0.286462	−0.116948
$7$	1.00000	0.377964
$7$	1.00000	0.377964
$8$	1.00000	0.353553
$9$	−2.91794	−0.972646
$10$	0	0
$11$	1.20440	0.363141	0.181570	−	0.983378i	$-0.441882\pi$
$11$	1.20440	0.363141	0.181570	+	0.983378i	$0.441882\pi$
$12$	−0.286462	−0.0826945
$13$	1.77733	0.492941	0.246471	−	0.969150i	$-0.420729\pi$
$13$	1.77733	0.492941	0.246471	+	0.969150i	$0.420729\pi$
$14$	1.00000	0.267261
$15$	0	0
$16$	1.00000	0.250000
$17$	−1.00000	−0.242536
$17$	−1.00000	−0.242536
$18$	−2.91794	−0.687765
$19$	−7.69527	−1.76541	−0.882707	−	0.469923i	$-0.844282\pi$
$19$	−7.69527	−1.76541	−0.882707	+	0.469923i	$0.844282\pi$
$20$	0	0
$21$	−0.286462	−0.0625111
$22$	1.20440	0.256779
$23$	−6.69527	−1.39606	−0.698030	−	0.716069i	$-0.745940\pi$
$23$	−6.69527	−1.39606	−0.698030	+	0.716069i	$0.745940\pi$
$24$	−0.286462	−0.0584738
$25$	0	0
$26$	1.77733	0.348562
$27$	1.69527	0.326254
$28$	1.00000	0.188982
$29$	4.47259	0.830539	0.415270	−	0.909698i	$-0.363687\pi$
$29$	4.47259	0.830539	0.415270	+	0.909698i	$0.363687\pi$
$30$	0	0
$31$	1.71354	0.307760	0.153880	−	0.988090i	$-0.450823\pi$
$31$	1.71354	0.307760	0.153880	+	0.988090i	$0.450823\pi$
$32$	1.00000	0.176777
$33$	−0.345015	−0.0600595
$34$	−1.00000	−0.171499
$35$	0	0
$36$	−2.91794	−0.486323
$37$	−4.42708	−0.727807	−0.363903	−	0.931437i	$-0.618556\pi$
$37$	−4.42708	−0.727807	−0.363903	+	0.931437i	$0.618556\pi$
$38$	−7.69527	−1.24834
$39$	−0.509136	−0.0815271
$40$	0	0
$41$	8.24992	1.28842	0.644210	−	0.764848i	$-0.277186\pi$
$41$	8.24992	1.28842	0.644210	+	0.764848i	$0.277186\pi$
$42$	−0.286462	−0.0442021
$43$	−3.63148	−0.553795	−0.276898	−	0.960899i	$-0.589306\pi$
$43$	−3.63148	−0.553795	−0.276898	+	0.960899i	$0.589306\pi$
$44$	1.20440	0.181570
$45$	0	0
$46$	−6.69527	−0.987163
$47$	−13.2499	−1.93270	−0.966349	−	0.257233i	$-0.917189\pi$
$47$	−13.2499	−1.93270	−0.966349	+	0.257233i	$0.917189\pi$
$48$	−0.286462	−0.0413472
$49$	1.00000	0.142857
$50$	0	0
$51$	0.286462	0.0401127
$52$	1.77733	0.246471
$53$	8.26819	1.13572	0.567862	−	0.823124i	$-0.307771\pi$
$53$	8.26819	1.13572	0.567862	+	0.823124i	$0.307771\pi$
$54$	1.69527	0.230696
$55$	0	0
$56$	1.00000	0.133631
$57$	2.20440	0.291980
$58$	4.47259	0.587280
$59$	−5.08206	−0.661628	−0.330814	−	0.943696i	$-0.607323\pi$
$59$	−5.08206	−0.661628	−0.330814	+	0.943696i	$0.607323\pi$
$60$	0	0
$61$	−7.75905	−0.993445	−0.496722	−	0.867909i	$-0.665463\pi$
$61$	−7.75905	−0.993445	−0.496722	+	0.867909i	$0.665463\pi$
$62$	1.71354	0.217620
$63$	−2.91794	−0.367626
$64$	1.00000	0.125000
$65$	0	0
$66$	−0.345015	−0.0424685
$67$	−2.71354	−0.331511	−0.165756	−	0.986167i	$-0.553006\pi$
$67$	−2.71354	−0.331511	−0.165756	+	0.986167i	$0.553006\pi$
$68$	−1.00000	−0.121268
$69$	1.91794	0.230893
$70$	0	0
$71$	−15.0272	−1.78341	−0.891703	−	0.452621i	$-0.850489\pi$
$71$	−15.0272	−1.78341	−0.891703	+	0.452621i	$0.850489\pi$
$72$	−2.91794	−0.343882
$73$	−1.36329	−0.159561	−0.0797804	−	0.996812i	$-0.525422\pi$
$73$	−1.36329	−0.159561	−0.0797804	+	0.996812i	$0.525422\pi$
$74$	−4.42708	−0.514637
$75$	0	0
$76$	−7.69527	−0.882707
$77$	1.20440	0.137254
$78$	−0.509136	−0.0576483
$79$	−7.74078	−0.870906	−0.435453	−	0.900212i	$-0.643412\pi$
$79$	−7.74078	−0.870906	−0.435453	+	0.900212i	$0.643412\pi$
$80$	0	0
$81$	8.26819	0.918688
$82$	8.24992	0.911051
$83$	−2.85939	−0.313858	−0.156929	−	0.987610i	$-0.550159\pi$
$83$	−2.85939	−0.313858	−0.156929	+	0.987610i	$0.550159\pi$
$84$	−0.286462	−0.0312556
$85$	0	0
$86$	−3.63148	−0.391592
$87$	−1.28123	−0.137362
$88$	1.20440	0.128390
$89$	−15.2499	−1.61649	−0.808244	−	0.588848i	$-0.799582\pi$
$89$	−15.2499	−1.61649	−0.808244	+	0.588848i	$0.799582\pi$
$90$	0	0
$91$	1.77733	0.186314
$92$	−6.69527	−0.698030
$93$	−0.490864	−0.0509002
$94$	−13.2499	−1.36662
$95$	0	0
$96$	−0.286462	−0.0292369
$97$	−1.90490	−0.193413	−0.0967067	−	0.995313i	$-0.530831\pi$
$97$	−1.90490	−0.193413	−0.0967067	+	0.995313i	$0.530831\pi$
$98$	1.00000	0.101015
$99$	−3.51437	−0.353208
$100$	0	0
$101$	13.3137	1.32476	0.662382	−	0.749167i	$-0.269546\pi$
$101$	13.3137	1.32476	0.662382	+	0.749167i	$0.269546\pi$
$102$	0.286462	0.0283640
$103$	−1.91794	−0.188980	−0.0944901	−	0.995526i	$-0.530122\pi$
$103$	−1.91794	−0.188980	−0.0944901	+	0.995526i	$0.530122\pi$
$104$	1.77733	0.174281
$105$	0	0
$106$	8.26819	0.803078
$107$	3.49086	0.337475	0.168737	−	0.985661i	$-0.446031\pi$
$107$	3.49086	0.337475	0.168737	+	0.985661i	$0.446031\pi$
$108$	1.69527	0.163127
$109$	−6.07683	−0.582054	−0.291027	−	0.956715i	$-0.593997\pi$
$109$	−6.07683	−0.582054	−0.291027	+	0.956715i	$0.593997\pi$
$110$	0	0
$111$	1.26819	0.120371
$112$	1.00000	0.0944911
$113$	18.4543	1.73604	0.868018	−	0.496533i	$-0.165394\pi$
$113$	18.4543	1.73604	0.868018	+	0.496533i	$0.165394\pi$
$114$	2.20440	0.206461
$115$	0	0
$116$	4.47259	0.415270
$117$	−5.18613	−0.479458
$118$	−5.08206	−0.467842
$119$	−1.00000	−0.0916698
$120$	0	0
$121$	−9.54942	−0.868129
$122$	−7.75905	−0.702472
$123$	−2.36329	−0.213091
$124$	1.71354	0.153880
$125$	0	0
$126$	−2.91794	−0.259951
$127$	20.6132	1.82913	0.914563	−	0.404443i	$-0.132535\pi$
$127$	20.6132	1.82913	0.914563	+	0.404443i	$0.132535\pi$
$128$	1.00000	0.0883883
$129$	1.04028	0.0915916
$130$	0	0
$131$	4.48563	0.391911	0.195956	−	0.980613i	$-0.437219\pi$
$131$	4.48563	0.391911	0.195956	+	0.980613i	$0.437219\pi$
$132$	−0.345015	−0.0300297
$133$	−7.69527	−0.667264
$134$	−2.71354	−0.234414
$135$	0	0
$136$	−1.00000	−0.0857493
$137$	−19.5897	−1.67366	−0.836830	−	0.547462i	$-0.815594\pi$
$137$	−19.5897	−1.67366	−0.836830	+	0.547462i	$0.815594\pi$
$138$	1.91794	0.163266
$139$	−3.24095	−0.274894	−0.137447	−	0.990509i	$-0.543890\pi$
$139$	−3.24095	−0.274894	−0.137447	+	0.990509i	$0.543890\pi$
$140$	0	0
$141$	3.79560	0.319647
$142$	−15.0272	−1.26106
$143$	2.14061	0.179007
$144$	−2.91794	−0.243162
$145$	0	0
$146$	−1.36329	−0.112827
$147$	−0.286462	−0.0236270
$148$	−4.42708	−0.363903
$149$	−19.5129	−1.59856	−0.799278	−	0.600961i	$-0.794785\pi$
$149$	−19.5129	−1.59856	−0.799278	+	0.600961i	$0.794785\pi$
$150$	0	0
$151$	0.118606	0.00965202	0.00482601	−	0.999988i	$-0.498464\pi$
$151$	0.118606	0.00965202	0.00482601	+	0.999988i	$0.498464\pi$
$152$	−7.69527	−0.624168
$153$	2.91794	0.235901
$154$	1.20440	0.0970534
$155$	0	0
$156$	−0.509136	−0.0407635
$157$	14.1861	1.13218	0.566088	−	0.824345i	$-0.308456\pi$
$157$	14.1861	1.13218	0.566088	+	0.824345i	$0.308456\pi$
$158$	−7.74078	−0.615823
$159$	−2.36852	−0.187836
$160$	0	0
$161$	−6.69527	−0.527661
$162$	8.26819	0.649610
$163$	13.8631	1.08584	0.542922	−	0.839783i	$-0.317318\pi$
$163$	13.8631	1.08584	0.542922	+	0.839783i	$0.317318\pi$
$164$	8.24992	0.644210
$165$	0	0
$166$	−2.85939	−0.221931
$167$	20.2719	1.56869	0.784344	−	0.620326i	$-0.213000\pi$
$167$	20.2719	1.56869	0.784344	+	0.620326i	$0.213000\pi$
$168$	−0.286462	−0.0221010
$169$	−9.84111	−0.757009
$170$	0	0
$171$	22.4543	1.71712
$172$	−3.63148	−0.276898
$173$	−14.8306	−1.12755	−0.563777	−	0.825927i	$-0.690652\pi$
$173$	−14.8306	−1.12755	−0.563777	+	0.825927i	$0.690652\pi$
$174$	−1.28123	−0.0971296
$175$	0	0
$176$	1.20440	0.0907852
$177$	1.45582	0.109426
$178$	−15.2499	−1.14303
$179$	4.34502	0.324762	0.162381	−	0.986728i	$-0.448083\pi$
$179$	4.34502	0.324762	0.162381	+	0.986728i	$0.448083\pi$
$180$	0	0
$181$	−23.6770	−1.75990	−0.879948	−	0.475069i	$-0.842423\pi$
$181$	−23.6770	−1.75990	−0.879948	+	0.475069i	$0.842423\pi$
$182$	1.77733	0.131744
$183$	2.22267	0.164305
$184$	−6.69527	−0.493581
$185$	0	0
$186$	−0.490864	−0.0359919
$187$	−1.20440	−0.0880746
$188$	−13.2499	−0.966349
$189$	1.69527	0.123312
$190$	0	0
$191$	−6.57292	−0.475600	−0.237800	−	0.971314i	$-0.576426\pi$
$191$	−6.57292	−0.475600	−0.237800	+	0.971314i	$0.576426\pi$
$192$	−0.286462	−0.0206736
$193$	−1.70050	−0.122405	−0.0612023	−	0.998125i	$-0.519493\pi$
$193$	−1.70050	−0.122405	−0.0612023	+	0.998125i	$0.519493\pi$
$194$	−1.90490	−0.136764
$195$	0	0
$196$	1.00000	0.0714286
$197$	12.8306	0.914146	0.457073	−	0.889429i	$-0.348898\pi$
$197$	12.8306	0.914146	0.457073	+	0.889429i	$0.348898\pi$
$198$	−3.51437	−0.249755
$199$	−9.73181	−0.689870	−0.344935	−	0.938627i	$-0.612099\pi$
$199$	−9.73181	−0.689870	−0.344935	+	0.938627i	$0.612099\pi$
$200$	0	0
$201$	0.777326	0.0548283
$202$	13.3137	0.936749
$203$	4.47259	0.313914
$204$	0.286462	0.0200564
$205$	0	0
$206$	−1.91794	−0.133629
$207$	19.5364	1.35787
$208$	1.77733	0.123235
$209$	−9.26819	−0.641094
$210$	0	0
$211$	13.6132	0.937172	0.468586	−	0.883418i	$-0.344764\pi$
$211$	13.6132	0.937172	0.468586	+	0.883418i	$0.344764\pi$
$212$	8.26819	0.567862
$213$	4.30473	0.294956
$214$	3.49086	0.238631
$215$	0	0
$216$	1.69527	0.115348
$217$	1.71354	0.116323
$218$	−6.07683	−0.411575
$219$	0.390530	0.0263896
$220$	0	0
$221$	−1.77733	−0.119556
$222$	1.26819	0.0851153
$223$	−4.33721	−0.290441	−0.145221	−	0.989399i	$-0.546389\pi$
$223$	−4.33721	−0.290441	−0.145221	+	0.989399i	$0.546389\pi$
$224$	1.00000	0.0668153
$225$	0	0
$226$	18.4543	1.22756
$227$	−8.98696	−0.596486	−0.298243	−	0.954490i	$-0.596401\pi$
$227$	−8.98696	−0.596486	−0.298243	+	0.954490i	$0.596401\pi$
$228$	2.20440	0.145990
$229$	13.3540	0.882456	0.441228	−	0.897395i	$-0.354543\pi$
$229$	13.3540	0.882456	0.441228	+	0.897395i	$0.354543\pi$
$230$	0	0
$231$	−0.345015	−0.0227003
$232$	4.47259	0.293640
$233$	24.1548	1.58243	0.791217	−	0.611535i	$-0.209448\pi$
$233$	24.1548	1.58243	0.791217	+	0.611535i	$0.209448\pi$
$234$	−5.18613	−0.339028
$235$	0	0
$236$	−5.08206	−0.330814
$237$	2.21744	0.144038
$238$	−1.00000	−0.0648204
$239$	−23.3320	−1.50922	−0.754610	−	0.656173i	$-0.772174\pi$
$239$	−23.3320	−1.50922	−0.754610	+	0.656173i	$0.772174\pi$
$240$	0	0
$241$	−16.0142	−1.03157	−0.515783	−	0.856719i	$-0.672499\pi$
$241$	−16.0142	−1.03157	−0.515783	+	0.856719i	$0.672499\pi$
$242$	−9.54942	−0.613860
$243$	−7.45432	−0.478195
$244$	−7.75905	−0.496722
$245$	0	0
$246$	−2.36329	−0.150678
$247$	−13.6770	−0.870246
$248$	1.71354	0.108810
$249$	0.819106	0.0519087
$250$	0	0
$251$	−19.5819	−1.23600	−0.617999	−	0.786179i	$-0.712056\pi$
$251$	−19.5819	−1.23600	−0.617999	+	0.786179i	$0.712056\pi$
$252$	−2.91794	−0.183813
$253$	−8.06379	−0.506966
$254$	20.6132	1.29339
$255$	0	0
$256$	1.00000	0.0625000
$257$	−10.3137	−0.643351	−0.321676	−	0.946850i	$-0.604246\pi$
$257$	−10.3137	−0.643351	−0.321676	+	0.946850i	$0.604246\pi$
$258$	1.04028	0.0647650
$259$	−4.42708	−0.275085
$260$	0	0
$261$	−13.0507	−0.807821
$262$	4.48563	0.277123
$263$	−9.31894	−0.574630	−0.287315	−	0.957836i	$-0.592763\pi$
$263$	−9.31894	−0.574630	−0.287315	+	0.957836i	$0.592763\pi$
$264$	−0.345015	−0.0212342
$265$	0	0
$266$	−7.69527	−0.471827
$267$	4.36852	0.267349
$268$	−2.71354	−0.165756
$269$	9.49460	0.578896	0.289448	−	0.957194i	$-0.406528\pi$
$269$	9.49460	0.578896	0.289448	+	0.957194i	$0.406528\pi$
$270$	0	0
$271$	12.8542	0.780834	0.390417	−	0.920638i	$-0.372331\pi$
$271$	12.8542	0.780834	0.390417	+	0.920638i	$0.372331\pi$
$272$	−1.00000	−0.0606339
$273$	−0.509136	−0.0308143
$274$	−19.5897	−1.18346
$275$	0	0
$276$	1.91794	0.115446
$277$	−7.10930	−0.427157	−0.213578	−	0.976926i	$-0.568512\pi$
$277$	−7.10930	−0.427157	−0.213578	+	0.976926i	$0.568512\pi$
$278$	−3.24095	−0.194379
$279$	−5.00000	−0.299342
$280$	0	0
$281$	3.67699	0.219351	0.109675	−	0.993967i	$-0.465019\pi$
$281$	3.67699	0.219351	0.109675	+	0.993967i	$0.465019\pi$
$282$	3.79560	0.226025
$283$	−19.9232	−1.18431	−0.592155	−	0.805824i	$-0.701723\pi$
$283$	−19.9232	−1.18431	−0.592155	+	0.805824i	$0.701723\pi$
$284$	−15.0272	−0.891703
$285$	0	0
$286$	2.14061	0.126577
$287$	8.24992	0.486977
$288$	−2.91794	−0.171941
$289$	1.00000	0.0588235
$290$	0	0
$291$	0.545682	0.0319884
$292$	−1.36329	−0.0797804
$293$	−26.6535	−1.55711	−0.778557	−	0.627574i	$-0.784048\pi$
$293$	−26.6535	−1.55711	−0.778557	+	0.627574i	$0.784048\pi$
$294$	−0.286462	−0.0167068
$295$	0	0
$296$	−4.42708	−0.257319
$297$	2.04178	0.118476
$298$	−19.5129	−1.13035
$299$	−11.8997	−0.688175
$300$	0	0
$301$	−3.63148	−0.209315
$302$	0.118606	0.00682501
$303$	−3.81387	−0.219101
$304$	−7.69527	−0.441354
$305$	0	0
$306$	2.91794	0.166807
$307$	−16.1861	−0.923791	−0.461896	−	0.886934i	$-0.652831\pi$
$307$	−16.1861	−0.923791	−0.461896	+	0.886934i	$0.652831\pi$
$308$	1.20440	0.0686271
$309$	0.549417	0.0312552
$310$	0	0
$311$	−28.8448	−1.63564	−0.817821	−	0.575473i	$-0.804818\pi$
$311$	−28.8448	−1.63564	−0.817821	+	0.575473i	$0.804818\pi$
$312$	−0.509136	−0.0288242
$313$	−17.7486	−1.00321	−0.501605	−	0.865097i	$-0.667257\pi$
$313$	−17.7486	−1.00321	−0.501605	+	0.865097i	$0.667257\pi$
$314$	14.1861	0.800570
$315$	0	0
$316$	−7.74078	−0.435453
$317$	32.7576	1.83985	0.919924	−	0.392097i	$-0.128250\pi$
$317$	32.7576	1.83985	0.919924	+	0.392097i	$0.128250\pi$
$318$	−2.36852	−0.132820
$319$	5.38680	0.301603
$320$	0	0
$321$	−1.00000	−0.0558146
$322$	−6.69527	−0.373113
$323$	7.69527	0.428176
$324$	8.26819	0.459344
$325$	0	0
$326$	13.8631	0.767807
$327$	1.74078	0.0962654
$328$	8.24992	0.455525
$329$	−13.2499	−0.730492
$330$	0	0
$331$	19.7680	1.08655	0.543274	−	0.839555i	$-0.317184\pi$
$331$	19.7680	1.08655	0.543274	+	0.839555i	$0.317184\pi$
$332$	−2.85939	−0.156929
$333$	12.9179	0.707899
$334$	20.2719	1.10923
$335$	0	0
$336$	−0.286462	−0.0156278
$337$	−4.23164	−0.230512	−0.115256	−	0.993336i	$-0.536769\pi$
$337$	−4.23164	−0.230512	−0.115256	+	0.993336i	$0.536769\pi$
$338$	−9.84111	−0.535286
$339$	−5.28646	−0.287121
$340$	0	0
$341$	2.06379	0.111760
$342$	22.4543	1.21419
$343$	1.00000	0.0539949
$344$	−3.63148	−0.195796
$345$	0	0
$346$	−14.8306	−0.797300
$347$	−12.1861	−0.654186	−0.327093	−	0.944992i	$-0.606069\pi$
$347$	−12.1861	−0.654186	−0.327093	+	0.944992i	$0.606069\pi$
$348$	−1.28123	−0.0686810
$349$	16.0455	0.858897	0.429448	−	0.903091i	$-0.358708\pi$
$349$	16.0455	0.858897	0.429448	+	0.903091i	$0.358708\pi$
$350$	0	0
$351$	3.01304	0.160824
$352$	1.20440	0.0641948
$353$	−10.0090	−0.532724	−0.266362	−	0.963873i	$-0.585822\pi$
$353$	−10.0090	−0.532724	−0.266362	+	0.963873i	$0.585822\pi$
$354$	1.45582	0.0773758
$355$	0	0
$356$	−15.2499	−0.808244
$357$	0.286462	0.0151612
$358$	4.34502	0.229641
$359$	−20.1223	−1.06202	−0.531008	−	0.847367i	$-0.678187\pi$
$359$	−20.1223	−1.06202	−0.531008	+	0.847367i	$0.678187\pi$
$360$	0	0
$361$	40.2171	2.11669
$362$	−23.6770	−1.24444
$363$	2.73555	0.143579
$364$	1.77733	0.0931572
$365$	0	0
$366$	2.22267	0.116181
$367$	14.6132	0.762803	0.381402	−	0.924409i	$-0.375442\pi$
$367$	14.6132	0.762803	0.381402	+	0.924409i	$0.375442\pi$
$368$	−6.69527	−0.349015
$369$	−24.0728	−1.25318
$370$	0	0
$371$	8.26819	0.429263
$372$	−0.490864	−0.0254501
$373$	−33.8083	−1.75053	−0.875264	−	0.483646i	$-0.839312\pi$
$373$	−33.8083	−1.75053	−0.875264	+	0.483646i	$0.839312\pi$
$374$	−1.20440	−0.0622781
$375$	0	0
$376$	−13.2499	−0.683312
$377$	7.94925	0.409407
$378$	1.69527	0.0871950
$379$	−12.5233	−0.643281	−0.321640	−	0.946862i	$-0.604234\pi$
$379$	−12.5233	−0.643281	−0.321640	+	0.946862i	$0.604234\pi$
$380$	0	0
$381$	−5.90490	−0.302517
$382$	−6.57292	−0.336300
$383$	24.5819	1.25608	0.628038	−	0.778183i	$-0.283858\pi$
$383$	24.5819	1.25608	0.628038	+	0.778183i	$0.283858\pi$
$384$	−0.286462	−0.0146185
$385$	0	0
$386$	−1.70050	−0.0865532
$387$	10.5964	0.538647
$388$	−1.90490	−0.0967067
$389$	−6.91794	−0.350753	−0.175377	−	0.984501i	$-0.556114\pi$
$389$	−6.91794	−0.350753	−0.175377	+	0.984501i	$0.556114\pi$
$390$	0	0
$391$	6.69527	0.338594
$392$	1.00000	0.0505076
$393$	−1.28496	−0.0648178
$394$	12.8306	0.646399
$395$	0	0
$396$	−3.51437	−0.176604
$397$	17.1078	0.858616	0.429308	−	0.903158i	$-0.358757\pi$
$397$	17.1078	0.858616	0.429308	+	0.903158i	$0.358757\pi$
$398$	−9.73181	−0.487812
$399$	2.20440	0.110358
$400$	0	0
$401$	−7.04551	−0.351836	−0.175918	−	0.984405i	$-0.556289\pi$
$401$	−7.04551	−0.351836	−0.175918	+	0.984405i	$0.556289\pi$
$402$	0.777326	0.0387695
$403$	3.04551	0.151708
$404$	13.3137	0.662382
$405$	0	0
$406$	4.47259	0.221971
$407$	−5.33198	−0.264296
$408$	0.286462	0.0141820
$409$	−7.76686	−0.384046	−0.192023	−	0.981390i	$-0.561505\pi$
$409$	−7.76686	−0.384046	−0.192023	+	0.981390i	$0.561505\pi$
$410$	0	0
$411$	5.61171	0.276805
$412$	−1.91794	−0.0944901
$413$	−5.08206	−0.250072
$414$	19.5364	0.960161
$415$	0	0
$416$	1.77733	0.0871406
$417$	0.928408	0.0454644
$418$	−9.26819	−0.453322
$419$	−23.5311	−1.14957	−0.574786	−	0.818304i	$-0.694915\pi$
$419$	−23.5311	−1.14957	−0.574786	+	0.818304i	$0.694915\pi$
$420$	0	0
$421$	20.4413	0.996247	0.498124	−	0.867106i	$-0.334023\pi$
$421$	20.4413	0.996247	0.498124	+	0.867106i	$0.334023\pi$
$422$	13.6132	0.662680
$423$	38.6625	1.87983
$424$	8.26819	0.401539
$425$	0	0
$426$	4.30473	0.208565
$427$	−7.75905	−0.375487
$428$	3.49086	0.168737
$429$	−0.613205	−0.0296058
$430$	0	0
$431$	27.3775	1.31873	0.659364	−	0.751824i	$-0.270826\pi$
$431$	27.3775	1.31873	0.659364	+	0.751824i	$0.270826\pi$
$432$	1.69527	0.0815635
$433$	20.0728	0.964635	0.482318	−	0.875996i	$-0.339795\pi$
$433$	20.0728	0.964635	0.482318	+	0.875996i	$0.339795\pi$
$434$	1.71354	0.0822525
$435$	0	0
$436$	−6.07683	−0.291027
$437$	51.5218	2.46462
$438$	0.390530	0.0186603
$439$	29.0037	1.38427	0.692136	−	0.721767i	$-0.256670\pi$
$439$	29.0037	1.38427	0.692136	+	0.721767i	$0.256670\pi$
$440$	0	0
$441$	−2.91794	−0.138949
$442$	−1.77733	−0.0845388
$443$	−9.09103	−0.431928	−0.215964	−	0.976401i	$-0.569289\pi$
$443$	−9.09103	−0.431928	−0.215964	+	0.976401i	$0.569289\pi$
$444$	1.26819	0.0601856
$445$	0	0
$446$	−4.33721	−0.205373
$447$	5.58970	0.264384
$448$	1.00000	0.0472456
$449$	3.74601	0.176785	0.0883927	−	0.996086i	$-0.471827\pi$
$449$	3.74601	0.176785	0.0883927	+	0.996086i	$0.471827\pi$
$450$	0	0
$451$	9.93621	0.467878
$452$	18.4543	0.868018
$453$	−0.0339761	−0.00159634
$454$	−8.98696	−0.421779
$455$	0	0
$456$	2.20440	0.103231
$457$	37.2850	1.74412	0.872058	−	0.489402i	$-0.162785\pi$
$457$	37.2850	1.74412	0.872058	+	0.489402i	$0.162785\pi$
$458$	13.3540	0.623991
$459$	−1.69527	−0.0791282
$460$	0	0
$461$	1.06752	0.0497195	0.0248597	−	0.999691i	$-0.492086\pi$
$461$	1.06752	0.0497195	0.0248597	+	0.999691i	$0.492086\pi$
$462$	−0.345015	−0.0160516
$463$	22.1951	1.03149	0.515747	−	0.856741i	$-0.327515\pi$
$463$	22.1951	1.03149	0.515747	+	0.856741i	$0.327515\pi$
$464$	4.47259	0.207635
$465$	0	0
$466$	24.1548	1.11895
$467$	37.1208	1.71775	0.858874	−	0.512187i	$-0.171165\pi$
$467$	37.1208	1.71775	0.858874	+	0.512187i	$0.171165\pi$
$468$	−5.18613	−0.239729
$469$	−2.71354	−0.125300
$470$	0	0
$471$	−4.06379	−0.187249
$472$	−5.08206	−0.233921
$473$	−4.37376	−0.201106
$474$	2.21744	0.101850
$475$	0	0
$476$	−1.00000	−0.0458349
$477$	−24.1261	−1.10466
$478$	−23.3320	−1.06718
$479$	−40.0127	−1.82823	−0.914114	−	0.405458i	$-0.867112\pi$
$479$	−40.0127	−1.82823	−0.914114	+	0.405458i	$0.867112\pi$
$480$	0	0
$481$	−7.86836	−0.358766
$482$	−16.0142	−0.729427
$483$	1.91794	0.0872693
$484$	−9.54942	−0.434064
$485$	0	0
$486$	−7.45432	−0.338135
$487$	−3.20440	−0.145205	−0.0726026	−	0.997361i	$-0.523130\pi$
$487$	−3.20440	−0.145205	−0.0726026	+	0.997361i	$0.523130\pi$
$488$	−7.75905	−0.351236
$489$	−3.97126	−0.179587
$490$	0	0
$491$	21.9959	0.992662	0.496331	−	0.868133i	$-0.334680\pi$
$491$	21.9959	0.992662	0.496331	+	0.868133i	$0.334680\pi$
$492$	−2.36329	−0.106545
$493$	−4.47259	−0.201435
$494$	−13.6770	−0.615357
$495$	0	0
$496$	1.71354	0.0769401
$497$	−15.0272	−0.674064
$498$	0.819106	0.0367050
$499$	33.8370	1.51475	0.757377	−	0.652978i	$-0.226481\pi$
$499$	33.8370	1.51475	0.757377	+	0.652978i	$0.226481\pi$
$500$	0	0
$501$	−5.80714	−0.259444
$502$	−19.5819	−0.873983
$503$	−29.6457	−1.32184	−0.660918	−	0.750458i	$-0.729833\pi$
$503$	−29.6457	−1.32184	−0.660918	+	0.750458i	$0.729833\pi$
$504$	−2.91794	−0.129975
$505$	0	0
$506$	−8.06379	−0.358479
$507$	2.81911	0.125201
$508$	20.6132	0.914563
$509$	2.84111	0.125930	0.0629651	−	0.998016i	$-0.479944\pi$
$509$	2.84111	0.125930	0.0629651	+	0.998016i	$0.479944\pi$
$510$	0	0
$511$	−1.36329	−0.0603083
$512$	1.00000	0.0441942
$513$	−13.0455	−0.575974
$514$	−10.3137	−0.454918
$515$	0	0
$516$	1.04028	0.0457958
$517$	−15.9582	−0.701842
$518$	−4.42708	−0.194515
$519$	4.24842	0.186485
$520$	0	0
$521$	9.23688	0.404675	0.202337	−	0.979316i	$-0.435146\pi$
$521$	9.23688	0.404675	0.202337	+	0.979316i	$0.435146\pi$
$522$	−13.0507	−0.571216
$523$	−19.2227	−0.840549	−0.420274	−	0.907397i	$-0.638066\pi$
$523$	−19.2227	−0.840549	−0.420274	+	0.907397i	$0.638066\pi$
$524$	4.48563	0.195956
$525$	0	0
$526$	−9.31894	−0.406325
$527$	−1.71354	−0.0746429
$528$	−0.345015	−0.0150149
$529$	21.8266	0.948982
$530$	0	0
$531$	14.8291	0.643530
$532$	−7.69527	−0.333632
$533$	14.6628	0.635116
$534$	4.36852	0.189044
$535$	0	0
$536$	−2.71354	−0.117207
$537$	−1.24468	−0.0537120
$538$	9.49460	0.409341
$539$	1.20440	0.0518772
$540$	0	0
$541$	−8.11187	−0.348757	−0.174378	−	0.984679i	$-0.555792\pi$
$541$	−8.11187	−0.348757	−0.174378	+	0.984679i	$0.555792\pi$
$542$	12.8542	0.552133
$543$	6.78256	0.291068
$544$	−1.00000	−0.0428746
$545$	0	0
$546$	−0.509136	−0.0217890
$547$	1.93621	0.0827865	0.0413932	−	0.999143i	$-0.486820\pi$
$547$	1.93621	0.0827865	0.0413932	+	0.999143i	$0.486820\pi$
$548$	−19.5897	−0.836830
$549$	22.6404	0.966271
$550$	0	0
$551$	−34.4178	−1.46625
$552$	1.91794	0.0816329
$553$	−7.74078	−0.329171
$554$	−7.10930	−0.302045
$555$	0	0
$556$	−3.24095	−0.137447
$557$	−3.08729	−0.130813	−0.0654064	−	0.997859i	$-0.520834\pi$
$557$	−3.08729	−0.130813	−0.0654064	+	0.997859i	$0.520834\pi$
$558$	−5.00000	−0.211667
$559$	−6.45432	−0.272989
$560$	0	0
$561$	0.345015	0.0145666
$562$	3.67699	0.155105
$563$	18.4438	0.777316	0.388658	−	0.921382i	$-0.372939\pi$
$563$	18.4438	0.777316	0.388658	+	0.921382i	$0.372939\pi$
$564$	3.79560	0.159824
$565$	0	0
$566$	−19.9232	−0.837433
$567$	8.26819	0.347231
$568$	−15.0272	−0.630529
$569$	30.7445	1.28888	0.644439	−	0.764656i	$-0.277091\pi$
$569$	30.7445	1.28888	0.644439	+	0.764656i	$0.277091\pi$
$570$	0	0
$571$	−15.3227	−0.641234	−0.320617	−	0.947209i	$-0.603890\pi$
$571$	−15.3227	−0.641234	−0.320617	+	0.947209i	$0.603890\pi$
$572$	2.14061	0.0895036
$573$	1.88289	0.0786590
$574$	8.24992	0.344345
$575$	0	0
$576$	−2.91794	−0.121581
$577$	8.22267	0.342314	0.171157	−	0.985244i	$-0.445249\pi$
$577$	8.22267	0.342314	0.171157	+	0.985244i	$0.445249\pi$
$578$	1.00000	0.0415945
$579$	0.487129	0.0202444
$580$	0	0
$581$	−2.85939	−0.118627
$582$	0.545682	0.0226192
$583$	9.95822	0.412427
$584$	−1.36329	−0.0564133
$585$	0	0
$586$	−26.6535	−1.10105
$587$	7.59120	0.313322	0.156661	−	0.987652i	$-0.449927\pi$
$587$	7.59120	0.313322	0.156661	+	0.987652i	$0.449927\pi$
$588$	−0.286462	−0.0118135
$589$	−13.1861	−0.543325
$590$	0	0
$591$	−3.67549	−0.151190
$592$	−4.42708	−0.181952
$593$	12.7643	0.524166	0.262083	−	0.965045i	$-0.415591\pi$
$593$	12.7643	0.524166	0.262083	+	0.965045i	$0.415591\pi$
$594$	2.04178	0.0837752
$595$	0	0
$596$	−19.5129	−0.799278
$597$	2.78779	0.114097
$598$	−11.8997	−0.486614
$599$	−0.768356	−0.0313942	−0.0156971	−	0.999877i	$-0.504997\pi$
$599$	−0.768356	−0.0313942	−0.0156971	+	0.999877i	$0.504997\pi$
$600$	0	0
$601$	−33.7277	−1.37578	−0.687892	−	0.725813i	$-0.741464\pi$
$601$	−33.7277	−1.37578	−0.687892	+	0.725813i	$0.741464\pi$
$602$	−3.63148	−0.148008
$603$	7.91794	0.322443
$604$	0.118606	0.00482601
$605$	0	0
$606$	−3.81387	−0.154928
$607$	−43.2276	−1.75455	−0.877277	−	0.479985i	$-0.840642\pi$
$607$	−43.2276	−1.75455	−0.877277	+	0.479985i	$0.840642\pi$
$608$	−7.69527	−0.312084
$609$	−1.28123	−0.0519180
$610$	0	0
$611$	−23.5494	−0.952707
$612$	2.91794	0.117951
$613$	44.0478	1.77907	0.889536	−	0.456865i	$-0.151028\pi$
$613$	44.0478	1.77907	0.889536	+	0.456865i	$0.151028\pi$
$614$	−16.1861	−0.653219
$615$	0	0
$616$	1.20440	0.0485267
$617$	26.7848	1.07832	0.539158	−	0.842205i	$-0.318743\pi$
$617$	26.7848	1.07832	0.539158	+	0.842205i	$0.318743\pi$
$618$	0.549417	0.0221008
$619$	−45.3708	−1.82360	−0.911802	−	0.410629i	$-0.865309\pi$
$619$	−45.3708	−1.82360	−0.911802	+	0.410629i	$0.865309\pi$
$620$	0	0
$621$	−11.3502	−0.455470
$622$	−28.8448	−1.15657
$623$	−15.2499	−0.610975
$624$	−0.509136	−0.0203818
$625$	0	0
$626$	−17.7486	−0.709376
$627$	2.65498	0.106030
$628$	14.1861	0.566088
$629$	4.42708	0.176519
$630$	0	0
$631$	21.2044	0.844134	0.422067	−	0.906565i	$-0.361305\pi$
$631$	21.2044	0.844134	0.422067	+	0.906565i	$0.361305\pi$
$632$	−7.74078	−0.307912
$633$	−3.89967	−0.154998
$634$	32.7576	1.30097
$635$	0	0
$636$	−2.36852	−0.0939180
$637$	1.77733	0.0704202
$638$	5.38680	0.213265
$639$	43.8486	1.73462
$640$	0	0
$641$	−41.3447	−1.63302	−0.816508	−	0.577334i	$-0.804093\pi$
$641$	−41.3447	−1.63302	−0.816508	+	0.577334i	$0.804093\pi$
$642$	−1.00000	−0.0394669
$643$	20.8631	0.822761	0.411381	−	0.911464i	$-0.365047\pi$
$643$	20.8631	0.822761	0.411381	+	0.911464i	$0.365047\pi$
$644$	−6.69527	−0.263830
$645$	0	0
$646$	7.69527	0.302766
$647$	−3.84368	−0.151111	−0.0755554	−	0.997142i	$-0.524073\pi$
$647$	−3.84368	−0.151111	−0.0755554	+	0.997142i	$0.524073\pi$
$648$	8.26819	0.324805
$649$	−6.12084	−0.240264
$650$	0	0
$651$	−0.490864	−0.0192385
$652$	13.8631	0.542922
$653$	48.0272	1.87945	0.939726	−	0.341929i	$-0.111080\pi$
$653$	48.0272	1.87945	0.939726	+	0.341929i	$0.111080\pi$
$654$	1.74078	0.0680699
$655$	0	0
$656$	8.24992	0.322105
$657$	3.97799	0.155196
$658$	−13.2499	−0.516536
$659$	−21.5677	−0.840158	−0.420079	−	0.907488i	$-0.637998\pi$
$659$	−21.5677	−0.840158	−0.420079	+	0.907488i	$0.637998\pi$
$660$	0	0
$661$	6.23688	0.242586	0.121293	−	0.992617i	$-0.461296\pi$
$661$	6.23688	0.242586	0.121293	+	0.992617i	$0.461296\pi$
$662$	19.7680	0.768306
$663$	0.509136	0.0197732
$664$	−2.85939	−0.110966
$665$	0	0
$666$	12.9179	0.500560
$667$	−29.9452	−1.15948
$668$	20.2719	0.784344
$669$	1.24245	0.0480358
$670$	0	0
$671$	−9.34502	−0.360760
$672$	−0.286462	−0.0110505
$673$	9.20067	0.354660	0.177330	−	0.984151i	$-0.443254\pi$
$673$	9.20067	0.354660	0.177330	+	0.984151i	$0.443254\pi$
$674$	−4.23164	−0.162997
$675$	0	0
$676$	−9.84111	−0.378504
$677$	−15.5259	−0.596709	−0.298355	−	0.954455i	$-0.596438\pi$
$677$	−15.5259	−0.596709	−0.298355	+	0.954455i	$0.596438\pi$
$678$	−5.28646	−0.203025
$679$	−1.90490	−0.0731034
$680$	0	0
$681$	2.57442	0.0986521
$682$	2.06379	0.0790265
$683$	−29.9542	−1.14616	−0.573082	−	0.819498i	$-0.694252\pi$
$683$	−29.9542	−1.14616	−0.573082	+	0.819498i	$0.694252\pi$
$684$	22.4543	0.858562
$685$	0	0
$686$	1.00000	0.0381802
$687$	−3.82541	−0.145948
$688$	−3.63148	−0.138449
$689$	14.6953	0.559845
$690$	0	0
$691$	2.56362	0.0975247	0.0487624	−	0.998810i	$-0.484472\pi$
$691$	2.56362	0.0975247	0.0487624	+	0.998810i	$0.484472\pi$
$692$	−14.8306	−0.563777
$693$	−3.51437	−0.133500
$694$	−12.1861	−0.462579
$695$	0	0
$696$	−1.28123	−0.0485648
$697$	−8.24992	−0.312488
$698$	16.0455	0.607332
$699$	−6.91944	−0.261717
$700$	0	0
$701$	−47.1235	−1.77983	−0.889915	−	0.456126i	$-0.849237\pi$
$701$	−47.1235	−1.77983	−0.889915	+	0.456126i	$0.849237\pi$
$702$	3.01304	0.113720
$703$	34.0675	1.28488
$704$	1.20440	0.0453926
$705$	0	0
$706$	−10.0090	−0.376693
$707$	13.3137	0.500713
$708$	1.45582	0.0547130
$709$	13.9090	0.522362	0.261181	−	0.965290i	$-0.415888\pi$
$709$	13.9090	0.522362	0.261181	+	0.965290i	$0.415888\pi$
$710$	0	0
$711$	22.5871	0.847083
$712$	−15.2499	−0.571515
$713$	−11.4726	−0.429652
$714$	0.286462	0.0107206
$715$	0	0
$716$	4.34502	0.162381
$717$	6.68373	0.249608
$718$	−20.1223	−0.750959
$719$	6.10557	0.227699	0.113850	−	0.993498i	$-0.463682\pi$
$719$	6.10557	0.227699	0.113850	+	0.993498i	$0.463682\pi$
$720$	0	0
$721$	−1.91794	−0.0714278
$722$	40.2171	1.49673
$723$	4.58746	0.170610
$724$	−23.6770	−0.879948
$725$	0	0
$726$	2.73555	0.101526
$727$	29.3372	1.08806	0.544028	−	0.839067i	$-0.316898\pi$
$727$	29.3372	1.08806	0.544028	+	0.839067i	$0.316898\pi$
$728$	1.77733	0.0658721
$729$	−22.6692	−0.839600
$730$	0	0
$731$	3.63148	0.134315
$732$	2.22267	0.0821524
$733$	33.4140	1.23418	0.617088	−	0.786894i	$-0.288312\pi$
$733$	33.4140	1.23418	0.617088	+	0.786894i	$0.288312\pi$
$734$	14.6132	0.539383
$735$	0	0
$736$	−6.69527	−0.246791
$737$	−3.26819	−0.120385
$738$	−24.0728	−0.886130
$739$	−7.61064	−0.279962	−0.139981	−	0.990154i	$-0.544704\pi$
$739$	−7.61064	−0.279962	−0.139981	+	0.990154i	$0.544704\pi$
$740$	0	0
$741$	3.91794	0.143929
$742$	8.26819	0.303535
$743$	49.0455	1.79931	0.899653	−	0.436606i	$-0.143820\pi$
$743$	49.0455	1.79931	0.899653	+	0.436606i	$0.143820\pi$
$744$	−0.490864	−0.0179959
$745$	0	0
$746$	−33.8083	−1.23781
$747$	8.34352	0.305273
$748$	−1.20440	−0.0440373
$749$	3.49086	0.127553
$750$	0	0
$751$	−12.4636	−0.454804	−0.227402	−	0.973801i	$-0.573023\pi$
$751$	−12.4636	−0.454804	−0.227402	+	0.973801i	$0.573023\pi$
$752$	−13.2499	−0.483175
$753$	5.60947	0.204420
$754$	7.94925	0.289495
$755$	0	0
$756$	1.69527	0.0616562
$757$	27.8709	1.01299	0.506493	−	0.862244i	$-0.330942\pi$
$757$	27.8709	1.01299	0.506493	+	0.862244i	$0.330942\pi$
$758$	−12.5233	−0.454868
$759$	2.30997	0.0838466
$760$	0	0
$761$	24.4726	0.887131	0.443565	−	0.896242i	$-0.353713\pi$
$761$	24.4726	0.887131	0.443565	+	0.896242i	$0.353713\pi$
$762$	−5.90490	−0.213912
$763$	−6.07683	−0.219996
$764$	−6.57292	−0.237800
$765$	0	0
$766$	24.5819	0.888180
$767$	−9.03248	−0.326144
$768$	−0.286462	−0.0103368
$769$	−15.8228	−0.570586	−0.285293	−	0.958440i	$-0.592091\pi$
$769$	−15.8228	−0.570586	−0.285293	+	0.958440i	$0.592091\pi$
$770$	0	0
$771$	2.95449	0.106403
$772$	−1.70050	−0.0612023
$773$	−14.7851	−0.531784	−0.265892	−	0.964003i	$-0.585666\pi$
$773$	−14.7851	−0.531784	−0.265892	+	0.964003i	$0.585666\pi$
$774$	10.5964	0.380881
$775$	0	0
$776$	−1.90490	−0.0683820
$777$	1.26819	0.0454960
$778$	−6.91794	−0.248020
$779$	−63.4853	−2.27460
$780$	0	0
$781$	−18.0988	−0.647627
$782$	6.69527	0.239422
$783$	7.58223	0.270967
$784$	1.00000	0.0357143
$785$	0	0
$786$	−1.28496	−0.0458331
$787$	−52.1936	−1.86050	−0.930250	−	0.366925i	$-0.880410\pi$
$787$	−52.1936	−1.86050	−0.930250	+	0.366925i	$0.880410\pi$
$788$	12.8306	0.457073
$789$	2.66952	0.0950375
$790$	0	0
$791$	18.4543	0.656160
$792$	−3.51437	−0.124878
$793$	−13.7904	−0.489710
$794$	17.1078	0.607133
$795$	0	0
$796$	−9.73181	−0.344935
$797$	−0.654985	−0.0232007	−0.0116004	−	0.999933i	$-0.503693\pi$
$797$	−0.654985	−0.0232007	−0.0116004	+	0.999933i	$0.503693\pi$
$798$	2.20440	0.0780350
$799$	13.2499	0.468748
$800$	0	0
$801$	44.4983	1.57227
$802$	−7.04551	−0.248786
$803$	−1.64195	−0.0579430
$804$	0.777326	0.0274142
$805$	0	0
$806$	3.04551	0.107274
$807$	−2.71984	−0.0957430
$808$	13.3137	0.468374
$809$	−24.7628	−0.870613	−0.435307	−	0.900282i	$-0.643360\pi$
$809$	−24.7628	−0.870613	−0.435307	+	0.900282i	$0.643360\pi$
$810$	0	0
$811$	0.485629	0.0170527	0.00852637	−	0.999964i	$-0.497286\pi$
$811$	0.485629	0.0170527	0.00852637	+	0.999964i	$0.497286\pi$
$812$	4.47259	0.156957
$813$	−3.68223	−0.129141
$814$	−5.33198	−0.186886
$815$	0	0
$816$	0.286462	0.0100282
$817$	27.9452	0.977678
$818$	−7.76686	−0.271562
$819$	−5.18613	−0.181218
$820$	0	0
$821$	15.7915	0.551128	0.275564	−	0.961283i	$-0.411135\pi$
$821$	15.7915	0.551128	0.275564	+	0.961283i	$0.411135\pi$
$822$	5.61171	0.195731
$823$	−23.5088	−0.819465	−0.409733	−	0.912206i	$-0.634378\pi$
$823$	−23.5088	−0.819465	−0.409733	+	0.912206i	$0.634378\pi$
$824$	−1.91794	−0.0668146
$825$	0	0
$826$	−5.08206	−0.176828
$827$	−41.3525	−1.43797	−0.718983	−	0.695027i	$-0.755392\pi$
$827$	−41.3525	−1.43797	−0.718983	+	0.695027i	$0.755392\pi$
$828$	19.5364	0.678936
$829$	36.6729	1.27370	0.636852	−	0.770986i	$-0.280236\pi$
$829$	36.6729	1.27370	0.636852	+	0.770986i	$0.280236\pi$
$830$	0	0
$831$	2.03655	0.0706470
$832$	1.77733	0.0616177
$833$	−1.00000	−0.0346479
$834$	0.928408	0.0321482
$835$	0	0
$836$	−9.26819	−0.320547
$837$	2.90490	0.100408
$838$	−23.5311	−0.812870
$839$	32.1026	1.10830	0.554152	−	0.832416i	$-0.313043\pi$
$839$	32.1026	1.10830	0.554152	+	0.832416i	$0.313043\pi$
$840$	0	0
$841$	−8.99593	−0.310205
$842$	20.4413	0.704453
$843$	−1.05332	−0.0362782
$844$	13.6132	0.468586
$845$	0	0
$846$	38.6625	1.32924
$847$	−9.54942	−0.328122
$848$	8.26819	0.283931
$849$	5.70723	0.195872
$850$	0	0
$851$	29.6404	1.01606
$852$	4.30473	0.147478
$853$	−24.4218	−0.836188	−0.418094	−	0.908404i	$-0.637302\pi$
$853$	−24.4218	−0.836188	−0.418094	+	0.908404i	$0.637302\pi$
$854$	−7.75905	−0.265509
$855$	0	0
$856$	3.49086	0.119315
$857$	5.47633	0.187068	0.0935339	−	0.995616i	$-0.470184\pi$
$857$	5.47633	0.187068	0.0935339	+	0.995616i	$0.470184\pi$
$858$	−0.613205	−0.0209345
$859$	41.6027	1.41947	0.709734	−	0.704470i	$-0.248815\pi$
$859$	41.6027	1.41947	0.709734	+	0.704470i	$0.248815\pi$
$860$	0	0
$861$	−2.36329	−0.0805406
$862$	27.3775	0.932481
$863$	39.4230	1.34197	0.670987	−	0.741469i	$-0.265870\pi$
$863$	39.4230	1.34197	0.670987	+	0.741469i	$0.265870\pi$
$864$	1.69527	0.0576741
$865$	0	0
$866$	20.0728	0.682100
$867$	−0.286462	−0.00972876
$868$	1.71354	0.0581613
$869$	−9.32301	−0.316261
$870$	0	0
$871$	−4.82284	−0.163416
$872$	−6.07683	−0.205787
$873$	5.55839	0.188123
$874$	51.5218	1.74275
$875$	0	0
$876$	0.390530	0.0131948
$877$	4.03505	0.136254	0.0681269	−	0.997677i	$-0.478298\pi$
$877$	4.03505	0.136254	0.0681269	+	0.997677i	$0.478298\pi$
$878$	29.0037	0.978829
$879$	7.63521	0.257529
$880$	0	0
$881$	−44.7393	−1.50730	−0.753652	−	0.657273i	$-0.771710\pi$
$881$	−44.7393	−1.50730	−0.753652	+	0.657273i	$0.771710\pi$
$882$	−2.91794	−0.0982521
$883$	6.32301	0.212786	0.106393	−	0.994324i	$-0.466070\pi$
$883$	6.32301	0.212786	0.106393	+	0.994324i	$0.466070\pi$
$884$	−1.77733	−0.0597779
$885$	0	0
$886$	−9.09103	−0.305419
$887$	−31.0638	−1.04302	−0.521510	−	0.853245i	$-0.674631\pi$
$887$	−31.0638	−1.04302	−0.521510	+	0.853245i	$0.674631\pi$
$888$	1.26819	0.0425576
$889$	20.6132	0.691345
$890$	0	0
$891$	9.95822	0.333613
$892$	−4.33721	−0.145221
$893$	101.962	3.41202
$894$	5.58970	0.186947
$895$	0	0
$896$	1.00000	0.0334077
$897$	3.40880	0.113817
$898$	3.74601	0.125006
$899$	7.66395	0.255607
$900$	0	0
$901$	−8.26819	−0.275453
$902$	9.93621	0.330840
$903$	1.04028	0.0346184
$904$	18.4543	0.613781
$905$	0	0
$906$	−0.0339761	−0.00112878
$907$	46.4070	1.54092	0.770459	−	0.637489i	$-0.220027\pi$
$907$	46.4070	1.54092	0.770459	+	0.637489i	$0.220027\pi$
$908$	−8.98696	−0.298243
$909$	−38.8486	−1.28853
$910$	0	0
$911$	29.1403	0.965461	0.482730	−	0.875769i	$-0.339645\pi$
$911$	29.1403	0.965461	0.482730	+	0.875769i	$0.339645\pi$
$912$	2.20440	0.0729950
$913$	−3.44385	−0.113975
$914$	37.2850	1.23328
$915$	0	0
$916$	13.3540	0.441228
$917$	4.48563	0.148129
$918$	−1.69527	−0.0559521
$919$	46.4256	1.53144	0.765719	−	0.643175i	$-0.222383\pi$
$919$	46.4256	1.53144	0.765719	+	0.643175i	$0.222383\pi$
$920$	0	0
$921$	4.63671	0.152785
$922$	1.06752	0.0351570
$923$	−26.7083	−0.879115
$924$	−0.345015	−0.0113502
$925$	0	0
$926$	22.1951	0.729376
$927$	5.59643	0.183811
$928$	4.47259	0.146820
$929$	31.5296	1.03445	0.517227	−	0.855848i	$-0.326964\pi$
$929$	31.5296	1.03445	0.517227	+	0.855848i	$0.326964\pi$
$930$	0	0
$931$	−7.69527	−0.252202
$932$	24.1548	0.791217
$933$	8.26295	0.270517
$934$	37.1208	1.21463
$935$	0	0
$936$	−5.18613	−0.169514
$937$	42.6938	1.39474	0.697372	−	0.716709i	$-0.254352\pi$
$937$	42.6938	1.39474	0.697372	+	0.716709i	$0.254352\pi$
$938$	−2.71354	−0.0886002
$939$	5.08430	0.165920
$940$	0	0
$941$	42.7173	1.39254	0.696272	−	0.717778i	$-0.254841\pi$
$941$	42.7173	1.39254	0.696272	+	0.717778i	$0.254841\pi$
$942$	−4.06379	−0.132405
$943$	−55.2354	−1.79871
$944$	−5.08206	−0.165407
$945$	0	0
$946$	−4.37376	−0.142203
$947$	−12.0873	−0.392784	−0.196392	−	0.980525i	$-0.562923\pi$
$947$	−12.0873	−0.392784	−0.196392	+	0.980525i	$0.562923\pi$
$948$	2.21744	0.0720191
$949$	−2.42301	−0.0786541
$950$	0	0
$951$	−9.38380	−0.304290
$952$	−1.00000	−0.0324102
$953$	22.2775	0.721639	0.360819	−	0.932636i	$-0.382497\pi$
$953$	22.2775	0.721639	0.360819	+	0.932636i	$0.382497\pi$
$954$	−24.1261	−0.781111
$955$	0	0
$956$	−23.3320	−0.754610
$957$	−1.54311	−0.0498817
$958$	−40.0127	−1.29275
$959$	−19.5897	−0.632584
$960$	0	0
$961$	−28.0638	−0.905283
$962$	−7.86836	−0.253686
$963$	−10.1861	−0.328243
$964$	−16.0142	−0.515783
$965$	0	0
$966$	1.91794	0.0617087
$967$	14.1041	0.453556	0.226778	−	0.973946i	$-0.427181\pi$
$967$	14.1041	0.453556	0.226778	+	0.973946i	$0.427181\pi$
$968$	−9.54942	−0.306930
$969$	−2.20440	−0.0708156
$970$	0	0
$971$	19.5039	0.625910	0.312955	−	0.949768i	$-0.398681\pi$
$971$	19.5039	0.625910	0.312955	+	0.949768i	$0.398681\pi$
$972$	−7.45432	−0.239097
$973$	−3.24095	−0.103900
$974$	−3.20440	−0.102676
$975$	0	0
$976$	−7.75905	−0.248361
$977$	−40.6845	−1.30161	−0.650806	−	0.759244i	$-0.725569\pi$
$977$	−40.6845	−1.30161	−0.650806	+	0.759244i	$0.725569\pi$
$978$	−3.97126	−0.126987
$979$	−18.3670	−0.587013
$980$	0	0
$981$	17.7318	0.566133
$982$	21.9959	0.701918
$983$	−12.3801	−0.394863	−0.197431	−	0.980317i	$-0.563260\pi$
$983$	−12.3801	−0.394863	−0.197431	+	0.980317i	$0.563260\pi$
$984$	−2.36329	−0.0753389
$985$	0	0
$986$	−4.47259	−0.142436
$987$	3.79560	0.120815
$988$	−13.6770	−0.435123
$989$	24.3137	0.773131
$990$	0	0
$991$	33.9504	1.07847	0.539235	−	0.842155i	$-0.318713\pi$
$991$	33.9504	1.07847	0.539235	+	0.842155i	$0.318713\pi$
$992$	1.71354	0.0544049
$993$	−5.66279	−0.179703
$994$	−15.0272	−0.476635
$995$	0	0
$996$	0.819106	0.0259544
$997$	20.1458	0.638025	0.319013	−	0.947750i	$-0.396649\pi$
$997$	20.1458	0.638025	0.319013	+	0.947750i	$0.396649\pi$
$998$	33.8370	1.07109
$999$	−7.50507	−0.237450

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	5950.2.a.bh.1.2	yes	3
5.4	even	2		5950.2.a.bf.1.2	✓	3

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
5950.2.a.bf.1.2	✓	3	5.4	even	2
5950.2.a.bh.1.2	yes	3	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 5950 = 2 \cdot 5^{2} \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	5950.a (trivial)

\(f(q)\)	\(=\)	\(q+1.00000 q^{2} -0.286462 q^{3} +1.00000 q^{4} -0.286462 q^{6} +1.00000 q^{7} +1.00000 q^{8} -2.91794 q^{9} +O(q^{10})\)	\(q+1.00000 q^{2} -0.286462 q^{3} +1.00000 q^{4} -0.286462 q^{6} +1.00000 q^{7} +1.00000 q^{8} -2.91794 q^{9} +1.20440 q^{11} -0.286462 q^{12} +1.77733 q^{13} +1.00000 q^{14} +1.00000 q^{16} -1.00000 q^{17} -2.91794 q^{18} -7.69527 q^{19} -0.286462 q^{21} +1.20440 q^{22} -6.69527 q^{23} -0.286462 q^{24} +1.77733 q^{26} +1.69527 q^{27} +1.00000 q^{28} +4.47259 q^{29} +1.71354 q^{31} +1.00000 q^{32} -0.345015 q^{33} -1.00000 q^{34} -2.91794 q^{36} -4.42708 q^{37} -7.69527 q^{38} -0.509136 q^{39} +8.24992 q^{41} -0.286462 q^{42} -3.63148 q^{43} +1.20440 q^{44} -6.69527 q^{46} -13.2499 q^{47} -0.286462 q^{48} +1.00000 q^{49} +0.286462 q^{51} +1.77733 q^{52} +8.26819 q^{53} +1.69527 q^{54} +1.00000 q^{56} +2.20440 q^{57} +4.47259 q^{58} -5.08206 q^{59} -7.75905 q^{61} +1.71354 q^{62} -2.91794 q^{63} +1.00000 q^{64} -0.345015 q^{66} -2.71354 q^{67} -1.00000 q^{68} +1.91794 q^{69} -15.0272 q^{71} -2.91794 q^{72} -1.36329 q^{73} -4.42708 q^{74} -7.69527 q^{76} +1.20440 q^{77} -0.509136 q^{78} -7.74078 q^{79} +8.26819 q^{81} +8.24992 q^{82} -2.85939 q^{83} -0.286462 q^{84} -3.63148 q^{86} -1.28123 q^{87} +1.20440 q^{88} -15.2499 q^{89} +1.77733 q^{91} -6.69527 q^{92} -0.490864 q^{93} -13.2499 q^{94} -0.286462 q^{96} -1.90490 q^{97} +1.00000 q^{98} -3.51437 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 3 q + 3 q^{2} - 2 q^{3} + 3 q^{4} - 2 q^{6} + 3 q^{7} + 3 q^{8} + q^{9}+O(q^{10}) \) 3 * q + 3 * q^2 - 2 * q^3 + 3 * q^4 - 2 * q^6 + 3 * q^7 + 3 * q^8 + q^9	\( 3 q + 3 q^{2} - 2 q^{3} + 3 q^{4} - 2 q^{6} + 3 q^{7} + 3 q^{8} + q^{9} - 5 q^{11} - 2 q^{12} - q^{13} + 3 q^{14} + 3 q^{16} - 3 q^{17} + q^{18} - 7 q^{19} - 2 q^{21} - 5 q^{22} - 4 q^{23} - 2 q^{24} - q^{26} - 11 q^{27} + 3 q^{28} - 9 q^{29} + 4 q^{31} + 3 q^{32} + 11 q^{33} - 3 q^{34} + q^{36} - 11 q^{37} - 7 q^{38} - 9 q^{39} - 4 q^{41} - 2 q^{42} - 5 q^{44} - 4 q^{46} - 11 q^{47} - 2 q^{48} + 3 q^{49} + 2 q^{51} - q^{52} + 11 q^{53} - 11 q^{54} + 3 q^{56} - 2 q^{57} - 9 q^{58} - 25 q^{59} - 2 q^{61} + 4 q^{62} + q^{63} + 3 q^{64} + 11 q^{66} - 7 q^{67} - 3 q^{68} - 4 q^{69} - 10 q^{71} + q^{72} - 7 q^{73} - 11 q^{74} - 7 q^{76} - 5 q^{77} - 9 q^{78} + 13 q^{79} + 11 q^{81} - 4 q^{82} - 12 q^{83} - 2 q^{84} + 3 q^{87} - 5 q^{88} - 17 q^{89} - q^{91} - 4 q^{92} + 6 q^{93} - 11 q^{94} - 2 q^{96} + 11 q^{97} + 3 q^{98} - 26 q^{99}+O(q^{100}) \) 3 * q + 3 * q^2 - 2 * q^3 + 3 * q^4 - 2 * q^6 + 3 * q^7 + 3 * q^8 + q^9 - 5 * q^11 - 2 * q^12 - q^13 + 3 * q^14 + 3 * q^16 - 3 * q^17 + q^18 - 7 * q^19 - 2 * q^21 - 5 * q^22 - 4 * q^23 - 2 * q^24 - q^26 - 11 * q^27 + 3 * q^28 - 9 * q^29 + 4 * q^31 + 3 * q^32 + 11 * q^33 - 3 * q^34 + q^36 - 11 * q^37 - 7 * q^38 - 9 * q^39 - 4 * q^41 - 2 * q^42 - 5 * q^44 - 4 * q^46 - 11 * q^47 - 2 * q^48 + 3 * q^49 + 2 * q^51 - q^52 + 11 * q^53 - 11 * q^54 + 3 * q^56 - 2 * q^57 - 9 * q^58 - 25 * q^59 - 2 * q^61 + 4 * q^62 + q^63 + 3 * q^64 + 11 * q^66 - 7 * q^67 - 3 * q^68 - 4 * q^69 - 10 * q^71 + q^72 - 7 * q^73 - 11 * q^74 - 7 * q^76 - 5 * q^77 - 9 * q^78 + 13 * q^79 + 11 * q^81 - 4 * q^82 - 12 * q^83 - 2 * q^84 + 3 * q^87 - 5 * q^88 - 17 * q^89 - q^91 - 4 * q^92 + 6 * q^93 - 11 * q^94 - 2 * q^96 + 11 * q^97 + 3 * q^98 - 26 * q^99

Introduction

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