LMFDB - Embedded newform 201.3.h.a.97.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,3,Mod(97,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(201, base_ring=CyclotomicField(6))

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

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("201.97");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	201.h (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$5.47685331364$
Analytic rank:	$0$
Dimension:	$22$
Relative dimension:	$11$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			97.4
Character	$\chi$	$=$	201.97
Dual form			201.3.h.a.172.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.09110 + 1.20729i) q^{2} -1.73205i q^{3} +(0.915119 - 1.58503i) q^{4} +7.66078i q^{5} +(2.09110 + 3.62188i) q^{6} +(-6.04816 - 3.49191i) q^{7} -5.23908i q^{8} -3.00000 q^{9} +O(q^{10})$	\(q+(-2.09110 + 1.20729i) q^{2} -1.73205i q^{3} +(0.915119 - 1.58503i) q^{4} +7.66078i q^{5} +(2.09110 + 3.62188i) q^{6} +(-6.04816 - 3.49191i) q^{7} -5.23908i q^{8} -3.00000 q^{9} +(-9.24881 - 16.0194i) q^{10} +(14.1145 + 8.14899i) q^{11} +(-2.74536 - 1.58503i) q^{12} +(-13.0342 + 7.52532i) q^{13} +16.8630 q^{14} +13.2689 q^{15} +(9.98559 + 17.2956i) q^{16} +(-13.8198 - 23.9365i) q^{17} +(6.27329 - 3.62188i) q^{18} +(-8.55010 - 14.8092i) q^{19} +(12.1426 + 7.01052i) q^{20} +(-6.04816 + 10.4757i) q^{21} -39.3529 q^{22} +(-11.8486 - 20.5224i) q^{23} -9.07435 q^{24} -33.6875 q^{25} +(18.1706 - 31.4723i) q^{26} +5.19615i q^{27} +(-11.0696 + 6.39102i) q^{28} +(-0.688067 + 1.19177i) q^{29} +(-27.7464 + 16.0194i) q^{30} +(-14.5338 - 8.39111i) q^{31} +(-23.6129 - 13.6329i) q^{32} +(14.1145 - 24.4470i) q^{33} +(57.7968 + 33.3690i) q^{34} +(26.7507 - 46.3336i) q^{35} +(-2.74536 + 4.75510i) q^{36} +(-35.7094 - 61.8505i) q^{37} +(35.7581 + 20.6450i) q^{38} +(13.0342 + 22.5760i) q^{39} +40.1354 q^{40} +(2.18269 + 1.26018i) q^{41} -29.2076i q^{42} -22.5095i q^{43} +(25.8328 - 14.9146i) q^{44} -22.9823i q^{45} +(49.5532 + 28.6095i) q^{46} +(-32.3974 + 56.1140i) q^{47} +(29.9568 - 17.2956i) q^{48} +(-0.113165 - 0.196007i) q^{49} +(70.4437 - 40.6707i) q^{50} +(-41.4593 + 23.9365i) q^{51} +27.5463i q^{52} +65.1131i q^{53} +(-6.27329 - 10.8656i) q^{54} +(-62.4276 + 108.128i) q^{55} +(-18.2944 + 31.6868i) q^{56} +(-25.6503 + 14.8092i) q^{57} -3.32280i q^{58} +66.8041 q^{59} +(12.1426 - 21.0316i) q^{60} +(-14.8400 + 8.56789i) q^{61} +40.5221 q^{62} +(18.1445 + 10.4757i) q^{63} -14.0489 q^{64} +(-57.6498 - 99.8524i) q^{65} +68.1612i q^{66} +(13.7268 + 65.5788i) q^{67} -50.5869 q^{68} +(-35.5458 + 20.5224i) q^{69} +129.184i q^{70} +(-4.55138 + 7.88321i) q^{71} +15.7172i q^{72} +(10.1762 + 17.6257i) q^{73} +(149.343 + 86.2235i) q^{74} +58.3484i q^{75} -31.2974 q^{76} +(-56.9110 - 98.5728i) q^{77} +(-54.5117 - 31.4723i) q^{78} +(-72.2834 - 41.7328i) q^{79} +(-132.497 + 76.4974i) q^{80} +9.00000 q^{81} -6.08562 q^{82} +(57.2627 + 99.1819i) q^{83} +(11.0696 + 19.1731i) q^{84} +(183.372 - 105.870i) q^{85} +(27.1756 + 47.0696i) q^{86} +(2.06420 + 1.19177i) q^{87} +(42.6932 - 73.9468i) q^{88} -65.8139 q^{89} +(27.7464 + 48.0582i) q^{90} +105.111 q^{91} -43.3716 q^{92} +(-14.5338 + 25.1733i) q^{93} -156.453i q^{94} +(113.450 - 65.5004i) q^{95} +(-23.6129 + 40.8988i) q^{96} +(2.53866 - 1.46569i) q^{97} +(0.473277 + 0.273247i) q^{98} +(-42.3434 - 24.4470i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 22 q + 26 q^{4} - 15 q^{7} - 66 q^{9}+O(q^{10}) $ 22 * q + 26 * q^4 - 15 * q^7 - 66 * q^9	$ 22 q + 26 q^{4} - 15 q^{7} - 66 q^{9} + 6 q^{10} + 30 q^{11} - 78 q^{12} - 27 q^{13} + 6 q^{14} - 6 q^{15} - 58 q^{16} - 8 q^{17} + q^{19} - 12 q^{20} - 15 q^{21} + 14 q^{22} - q^{23} - 56 q^{25} + 71 q^{26} - 75 q^{28} + 42 q^{29} + 18 q^{30} + 120 q^{31} - 105 q^{32} + 30 q^{33} - 24 q^{34} + 3 q^{35} - 78 q^{36} + 13 q^{37} + 108 q^{38} + 27 q^{39} + 82 q^{40} - 159 q^{41} + 189 q^{44} + 372 q^{46} - 35 q^{47} - 174 q^{48} - 40 q^{49} + 285 q^{50} - 24 q^{51} - 212 q^{55} - 113 q^{56} + 3 q^{57} + 136 q^{59} - 12 q^{60} + 63 q^{61} - 150 q^{62} + 45 q^{63} - 284 q^{64} - 20 q^{65} + 94 q^{67} + 154 q^{68} - 3 q^{69} - 41 q^{71} - 16 q^{73} + 441 q^{74} - 390 q^{76} - 84 q^{77} - 213 q^{78} - 615 q^{79} + 267 q^{80} + 198 q^{81} - 302 q^{82} - 154 q^{83} + 75 q^{84} + 633 q^{85} + 221 q^{86} - 126 q^{87} + 410 q^{88} + 56 q^{89} - 18 q^{90} + 272 q^{91} + 636 q^{92} + 120 q^{93} + 588 q^{95} - 105 q^{96} - 441 q^{97} + 780 q^{98} - 90 q^{99}+O(q^{100}) $ 22 * q + 26 * q^4 - 15 * q^7 - 66 * q^9 + 6 * q^10 + 30 * q^11 - 78 * q^12 - 27 * q^13 + 6 * q^14 - 6 * q^15 - 58 * q^16 - 8 * q^17 + q^19 - 12 * q^20 - 15 * q^21 + 14 * q^22 - q^23 - 56 * q^25 + 71 * q^26 - 75 * q^28 + 42 * q^29 + 18 * q^30 + 120 * q^31 - 105 * q^32 + 30 * q^33 - 24 * q^34 + 3 * q^35 - 78 * q^36 + 13 * q^37 + 108 * q^38 + 27 * q^39 + 82 * q^40 - 159 * q^41 + 189 * q^44 + 372 * q^46 - 35 * q^47 - 174 * q^48 - 40 * q^49 + 285 * q^50 - 24 * q^51 - 212 * q^55 - 113 * q^56 + 3 * q^57 + 136 * q^59 - 12 * q^60 + 63 * q^61 - 150 * q^62 + 45 * q^63 - 284 * q^64 - 20 * q^65 + 94 * q^67 + 154 * q^68 - 3 * q^69 - 41 * q^71 - 16 * q^73 + 441 * q^74 - 390 * q^76 - 84 * q^77 - 213 * q^78 - 615 * q^79 + 267 * q^80 + 198 * q^81 - 302 * q^82 - 154 * q^83 + 75 * q^84 + 633 * q^85 + 221 * q^86 - 126 * q^87 + 410 * q^88 + 56 * q^89 - 18 * q^90 + 272 * q^91 + 636 * q^92 + 120 * q^93 + 588 * q^95 - 105 * q^96 - 441 * q^97 + 780 * q^98 - 90 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/201\mathbb{Z}\right)^\times$.

$n$	$68$	$136$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−2.09110	+	1.20729i	−1.04555	+	0.603647i	−0.921400	−	0.388617i	$-0.872953\pi$
$2$	−2.09110	+	1.20729i	−1.04555	+	0.603647i	−0.124148	+	0.992264i	$0.539620\pi$
$3$		−	1.73205i		−	0.577350i
$3$		−	1.73205i		−	0.577350i
$4$	0.915119	−	1.58503i	0.228780	−	0.396258i
$5$			7.66078i			1.53216i	0.642748	+	0.766078i	$0.277794\pi$
$5$			7.66078i			1.53216i	−0.642748	+	0.766078i	$0.722206\pi$
$6$	2.09110	+	3.62188i	0.348516	+	0.603647i
$7$	−6.04816	−	3.49191i	−0.864023	−	0.498844i	0.00133441	−	0.999999i	$-0.499575\pi$
$7$	−6.04816	−	3.49191i	−0.864023	−	0.498844i	−0.865357	+	0.501155i	$0.832909\pi$
$8$		−	5.23908i		−	0.654885i
$9$	−3.00000			−0.333333
$10$	−9.24881	−	16.0194i	−0.924881	−	1.60194i
$11$	14.1145	+	8.14899i	1.28313	+	0.740817i	0.977420	−	0.211306i	$-0.0677718\pi$
$11$	14.1145	+	8.14899i	1.28313	+	0.740817i	0.305713	+	0.952124i	$0.401105\pi$
$12$	−2.74536	−	1.58503i	−0.228780	−	0.132086i
$13$	−13.0342	+	7.52532i	−1.00263	+	0.578871i	−0.909026	−	0.416738i	$-0.863173\pi$
$13$	−13.0342	+	7.52532i	−1.00263	+	0.578871i	−0.0936073	+	0.995609i	$0.529840\pi$
$14$	16.8630			1.20450
$15$	13.2689			0.884590
$16$	9.98559	+	17.2956i	0.624099	+	1.08097i
$17$	−13.8198	−	23.9365i	−0.812927	−	1.40803i	−0.910807	−	0.412832i	$-0.864540\pi$
$17$	−13.8198	−	23.9365i	−0.812927	−	1.40803i	0.0978807	−	0.995198i	$-0.468794\pi$
$18$	6.27329	−	3.62188i	0.348516	−	0.201216i
$19$	−8.55010	−	14.8092i	−0.450005	−	0.779432i	0.548381	−	0.836229i	$-0.315244\pi$
$19$	−8.55010	−	14.8092i	−0.450005	−	0.779432i	−0.998386	+	0.0567972i	$0.981911\pi$
$20$	12.1426	+	7.01052i	0.607129	+	0.350526i
$21$	−6.04816	+	10.4757i	−0.288008	+	0.498844i
$22$	−39.3529			−1.78877
$23$	−11.8486	−	20.5224i	−0.515157	−	0.892278i	−0.999845	−	0.0175912i	$-0.994400\pi$
$23$	−11.8486	−	20.5224i	−0.515157	−	0.892278i	0.484688	−	0.874687i	$-0.338933\pi$
$24$	−9.07435			−0.378098
$25$	−33.6875			−1.34750
$26$	18.1706	−	31.4723i	0.698868	−	1.21047i
$27$			5.19615i			0.192450i
$28$	−11.0696	+	6.39102i	−0.395342	+	0.228251i
$29$	−0.688067	+	1.19177i	−0.0237264	+	0.0410954i	−0.877645	−	0.479312i	$-0.840886\pi$
$29$	−0.688067	+	1.19177i	−0.0237264	+	0.0410954i	0.853918	+	0.520407i	$0.174220\pi$
$30$	−27.7464	+	16.0194i	−0.924881	+	0.533980i
$31$	−14.5338	−	8.39111i	−0.468833	−	0.270681i	0.246918	−	0.969036i	$-0.420582\pi$
$31$	−14.5338	−	8.39111i	−0.468833	−	0.270681i	−0.715751	+	0.698356i	$0.753915\pi$
$32$	−23.6129	−	13.6329i	−0.737904	−	0.426029i
$33$	14.1145	−	24.4470i	0.427711	−	0.740817i
$34$	57.7968	+	33.3690i	1.69991	+	0.981442i
$35$	26.7507	−	46.3336i	0.764306	−	1.32382i
$36$	−2.74536	+	4.75510i	−0.0762599	+	0.132086i
$37$	−35.7094	−	61.8505i	−0.965118	−	1.67163i	−0.709297	−	0.704910i	$-0.750987\pi$
$37$	−35.7094	−	61.8505i	−0.965118	−	1.67163i	−0.255822	−	0.966724i	$-0.582346\pi$
$38$	35.7581	+	20.6450i	0.941003	+	0.543289i
$39$	13.0342	+	22.5760i	0.334211	+	0.578871i
$40$	40.1354			1.00339
$41$	2.18269	+	1.26018i	0.0532364	+	0.0307360i	0.526382	−	0.850248i	$-0.323548\pi$
$41$	2.18269	+	1.26018i	0.0532364	+	0.0307360i	−0.473146	+	0.880984i	$0.656882\pi$
$42$		−	29.2076i		−	0.695420i
$43$		−	22.5095i		−	0.523477i	−0.965139	−	0.261739i	$-0.915704\pi$
$43$		−	22.5095i		−	0.523477i	0.965139	−	0.261739i	$-0.0842958\pi$
$44$	25.8328	−	14.9146i	0.587110	−	0.338968i
$45$		−	22.9823i		−	0.510718i
$46$	49.5532	+	28.6095i	1.07724	+	0.621946i
$47$	−32.3974	+	56.1140i	−0.689307	+	1.19392i	0.282755	+	0.959192i	$0.408752\pi$
$47$	−32.3974	+	56.1140i	−0.689307	+	1.19392i	−0.972062	+	0.234723i	$0.924582\pi$
$48$	29.9568	−	17.2956i	0.624099	−	0.360324i
$49$	−0.113165	−	0.196007i	−0.00230949	−	0.00400015i
$50$	70.4437	−	40.6707i	1.40887	−	0.813414i
$51$	−41.4593	+	23.9365i	−0.812927	+	0.469343i
$52$			27.5463i			0.529736i
$53$			65.1131i			1.22855i	0.789092	+	0.614274i	$0.210551\pi$
$53$			65.1131i			1.22855i	−0.789092	+	0.614274i	$0.789449\pi$
$54$	−6.27329	−	10.8656i	−0.116172	−	0.201216i
$55$	−62.4276	+	108.128i	−1.13505	+	1.96596i
$56$	−18.2944	+	31.6868i	−0.326685	+	0.565836i
$57$	−25.6503	+	14.8092i	−0.450005	+	0.259811i
$58$		−	3.32280i		−	0.0572896i
$59$	66.8041			1.13227			0.566136	−	0.824312i	$-0.308438\pi$
$59$	66.8041			1.13227			0.566136	+	0.824312i	$0.308438\pi$
$60$	12.1426	−	21.0316i	0.202376	−	0.350526i
$61$	−14.8400	+	8.56789i	−0.243279	+	0.140457i	−0.616683	−	0.787212i	$-0.711524\pi$
$61$	−14.8400	+	8.56789i	−0.243279	+	0.140457i	0.373404	+	0.927669i	$0.378191\pi$
$62$	40.5221			0.653583
$63$	18.1445	+	10.4757i	0.288008	+	0.166281i
$64$	−14.0489			−0.219514
$65$	−57.6498	−	99.8524i	−0.886920	−	1.53619i
$66$			68.1612i			1.03275i
$67$	13.7268	+	65.5788i	0.204877	+	0.978788i
$67$	13.7268	+	65.5788i	0.204877	+	0.978788i
$68$	−50.5869			−0.743925
$69$	−35.5458	+	20.5224i	−0.515157	+	0.297426i
$70$			129.184i			1.84549i
$71$	−4.55138	+	7.88321i	−0.0641039	+	0.111031i	−0.896296	−	0.443456i	$-0.853752\pi$
$71$	−4.55138	+	7.88321i	−0.0641039	+	0.111031i	0.832192	+	0.554487i	$0.187086\pi$
$72$			15.7172i			0.218295i
$73$	10.1762	+	17.6257i	0.139400	+	0.241448i	0.927270	−	0.374394i	$-0.122149\pi$
$73$	10.1762	+	17.6257i	0.139400	+	0.241448i	−0.787870	+	0.615842i	$0.788816\pi$
$74$	149.343	+	86.2235i	2.01815	+	1.16518i
$75$			58.3484i			0.777979i
$76$	−31.2974			−0.411808
$77$	−56.9110	−	98.5728i	−0.739104	−	1.28017i
$78$	−54.5117	−	31.4723i	−0.698868	−	0.403491i
$79$	−72.2834	−	41.7328i	−0.914979	−	0.528264i	−0.0329494	−	0.999457i	$-0.510490\pi$
$79$	−72.2834	−	41.7328i	−0.914979	−	0.528264i	−0.882030	+	0.471193i	$0.843823\pi$
$80$	−132.497	+	76.4974i	−1.65622	+	0.956217i
$81$	9.00000			0.111111
$82$	−6.08562			−0.0742149
$83$	57.2627	+	99.1819i	0.689912	+	1.19496i	0.971866	+	0.235535i	$0.0756842\pi$
$83$	57.2627	+	99.1819i	0.689912	+	1.19496i	−0.281954	+	0.959428i	$0.590983\pi$
$84$	11.0696	+	19.1731i	0.131781	+	0.228251i
$85$	183.372	−	105.870i	2.15732	−	1.24553i
$86$	27.1756	+	47.0696i	0.315996	+	0.547320i
$87$	2.06420	+	1.19177i	0.0237264	+	0.0136985i
$88$	42.6932	−	73.9468i	0.485150	−	0.840305i
$89$	−65.8139			−0.739482			−0.369741	−	0.929135i	$-0.620554\pi$
$89$	−65.8139			−0.739482			−0.369741	+	0.929135i	$0.620554\pi$
$90$	27.7464	+	48.0582i	0.308294	+	0.533980i
$91$	105.111			1.15506
$92$	−43.3716			−0.471430
$93$	−14.5338	+	25.1733i	−0.156278	+	0.270681i
$94$		−	156.453i		−	1.66439i
$95$	113.450	−	65.5004i	1.19421	−	0.689478i
$96$	−23.6129	+	40.8988i	−0.245968	+	0.426029i
$97$	2.53866	−	1.46569i	0.0261717	−	0.0151103i	−0.486857	−	0.873482i	$-0.661857\pi$
$97$	2.53866	−	1.46569i	0.0261717	−	0.0151103i	0.513029	+	0.858371i	$0.328523\pi$
$98$	0.473277	+	0.273247i	0.00482936	+	0.00278823i
$99$	−42.3434	−	24.4470i	−0.427711	−	0.246939i
$100$	−30.8281	+	53.3958i	−0.308281	+	0.533958i
$101$	120.503	+	69.5723i	1.19310	+	0.688835i	0.959008	−	0.283381i	$-0.0914560\pi$
$101$	120.503	+	69.5723i	1.19310	+	0.688835i	0.234089	+	0.972215i	$0.424789\pi$
$102$	57.7968	−	100.107i	0.566636	−	0.981442i
$103$	−70.4767	+	122.069i	−0.684240	+	1.18514i	0.289436	+	0.957198i	$0.406532\pi$
$103$	−70.4767	+	122.069i	−0.684240	+	1.18514i	−0.973675	+	0.227940i	$0.926801\pi$
$104$	39.4258	+	68.2874i	0.379094	+	0.656610i
$105$	−80.2522	−	46.3336i	−0.764306	−	0.441272i
$106$	−78.6107	−	136.158i	−0.741610	−	1.28451i
$107$	44.5598			0.416446			0.208223	−	0.978081i	$-0.433232\pi$
$107$	44.5598			0.416446			0.208223	+	0.978081i	$0.433232\pi$
$108$	8.23607	+	4.75510i	0.0762599	+	0.0440287i
$109$		−	128.095i		−	1.17519i	−0.809156	−	0.587593i	$-0.800076\pi$
$109$		−	128.095i		−	1.17519i	0.809156	−	0.587593i	$-0.199924\pi$
$110$		−	301.474i		−	2.74067i
$111$	−107.128	+	61.8505i	−0.965118	+	0.557211i
$112$		−	139.475i		−	1.24531i
$113$	−160.078	−	92.4212i	−1.41662	−	0.817887i	−0.420621	−	0.907236i	$-0.638188\pi$
$113$	−160.078	−	92.4212i	−1.41662	−	0.817887i	−0.996000	+	0.0893494i	$0.971521\pi$
$114$	35.7581	−	61.9349i	0.313668	−	0.543289i
$115$	157.217	−	90.7696i	1.36711	−	0.789301i
$116$	1.25933	+	2.18122i	0.0108563	+	0.0188036i
$117$	39.1027	−	22.5760i	0.334211	−	0.192957i
$118$	−139.694	+	80.6522i	−1.18384	+	0.683493i
$119$			193.029i			1.62209i
$120$		−	69.5166i		−	0.579305i
$121$	72.3120	+	125.248i	0.597620	+	1.03511i
$122$	20.6879	−	35.8326i	0.169573	−	0.293709i
$123$	2.18269	−	3.78053i	0.0177455	−	0.0307360i
$124$	−26.6004	+	15.3577i	−0.214519	+	0.123853i
$125$		−	66.5529i		−	0.532423i
$126$	−50.5891			−0.401501
$127$	−21.9371	+	37.9962i	−0.172733	+	0.299183i	−0.939374	−	0.342893i	$-0.888593\pi$
$127$	−21.9371	+	37.9962i	−0.172733	+	0.299183i	0.766641	+	0.642076i	$0.221927\pi$
$128$	123.829	−	71.4929i	0.967416	−	0.558538i
$129$	−38.9876			−0.302230
$130$	241.102	+	139.201i	1.85463	+	1.07077i
$131$	−236.670			−1.80664			−0.903320	−	0.428967i	$-0.858878\pi$
$131$	−236.670			−1.80664			−0.903320	+	0.428967i	$0.858878\pi$
$132$	−25.8328	−	44.7438i	−0.195703	−	0.338968i
$133$			119.425i			0.897929i
$134$	−107.877	−	120.559i	−0.805051	−	0.899696i
$135$	−39.8066			−0.294863
$136$	−125.405	+	72.4028i	−0.922098	+	0.532374i
$137$		−	54.0807i		−	0.394749i	−0.980328	−	0.197375i	$-0.936758\pi$
$137$		−	54.0807i		−	0.394749i	0.980328	−	0.197375i	$-0.0632416\pi$
$138$	49.5532	−	85.8286i	0.359081	−	0.621946i
$139$		−	121.046i		−	0.870837i	−0.900228	−	0.435418i	$-0.856600\pi$
$139$		−	121.046i		−	0.870837i	0.900228	−	0.435418i	$-0.143400\pi$
$140$	−48.9602	−	84.8016i	−0.349716	−	0.605725i
$141$	97.1923	+	56.1140i	0.689307	+	0.397972i
$142$		−	21.9794i		−	0.154785i
$143$	−245.295			−1.71535
$144$	−29.9568	−	51.8867i	−0.208033	−	0.360324i
$145$	−9.12985	−	5.27112i	−0.0629645	−	0.0363526i
$146$	−42.5588	−	24.5713i	−0.291498	−	0.168297i
$147$	−0.339495	+	0.196007i	−0.00230949	+	0.00133338i
$148$	−130.713			−0.883198
$149$	−158.378			−1.06294			−0.531469	−	0.847078i	$-0.678360\pi$
$149$	−158.378			−1.06294			−0.531469	+	0.847078i	$0.678360\pi$
$150$	−70.4437	−	122.012i	−0.469625	−	0.813414i
$151$	−61.3727	−	106.301i	−0.406442	−	0.703977i	0.588047	−	0.808827i	$-0.299897\pi$
$151$	−61.3727	−	106.301i	−0.406442	−	0.703977i	−0.994488	+	0.104850i	$0.966564\pi$
$152$	−77.5866	+	44.7946i	−0.510438	+	0.294702i
$153$	41.4593	+	71.8095i	0.270976	+	0.469343i
$154$	238.013	+	137.417i	1.54554	+	0.892316i
$155$	64.2824	−	111.340i	0.414725	−	0.718325i
$156$	47.7115			0.305843
$157$	79.0393	+	136.900i	0.503435	+	0.871975i	0.999992	+	0.00397112i	$0.00126405\pi$
$157$	79.0393	+	136.900i	0.503435	+	0.871975i	−0.496557	+	0.868004i	$0.665403\pi$
$158$	201.535			1.27554
$159$	112.779			0.709303
$160$	104.439	−	180.893i	0.652743	−	1.13058i
$161$			165.497i			1.02793i
$162$	−18.8199	+	10.8656i	−0.116172	+	0.0670719i
$163$	66.2269	−	114.708i	0.406300	−	0.703733i	−0.588172	−	0.808736i	$-0.700152\pi$
$163$	66.2269	−	114.708i	0.406300	−	0.703733i	0.994472	+	0.105004i	$0.0334854\pi$
$164$	3.99485	−	2.30643i	0.0243588	−	0.0140636i
$165$	187.283	+	108.128i	1.13505	+	0.655320i
$166$	−239.484	−	138.266i	−1.44267	−	0.832927i
$167$	101.201	−	175.286i	0.605997	−	1.04962i	−0.385896	−	0.922542i	$-0.626108\pi$
$167$	101.201	−	175.286i	0.605997	−	1.04962i	0.991893	−	0.127075i	$-0.0405589\pi$
$168$	54.8832	+	31.6868i	0.326685	+	0.188612i
$169$	28.7609	−	49.8154i	0.170183	−	0.294766i
$170$	−255.633	+	442.769i	−1.50372	+	2.60452i
$171$	25.6503	+	44.4276i	0.150002	+	0.259811i
$172$	−35.6783	−	20.5989i	−0.207432	−	0.119761i
$173$	9.47070	+	16.4037i	0.0547439	+	0.0948193i	0.892099	−	0.451841i	$-0.149232\pi$
$173$	9.47070	+	16.4037i	0.0547439	+	0.0948193i	−0.837355	+	0.546660i	$0.815899\pi$
$174$	−5.75525			−0.0330762
$175$	203.747	+	117.634i	1.16427	+	0.672192i
$176$			325.490i			1.84937i
$177$		−	115.708i		−	0.653718i
$178$	137.623	−	79.4567i	0.773164	−	0.446386i
$179$			79.6268i			0.444843i	0.974951	+	0.222421i	$0.0713960\pi$
$179$			79.6268i			0.444843i	−0.974951	+	0.222421i	$0.928604\pi$
$180$	−36.4278	−	21.0316i	−0.202376	−	0.116842i
$181$	−162.761	+	281.910i	−0.899231	+	1.55751i	−0.0707529	+	0.997494i	$0.522540\pi$
$181$	−162.761	+	281.910i	−0.899231	+	1.55751i	−0.828479	+	0.560021i	$0.810793\pi$
$182$	−219.797	+	126.900i	−1.20768	+	0.697252i
$183$	14.8400	+	25.7037i	0.0810930	+	0.140457i
$184$	−107.519	+	62.0758i	−0.584340	+	0.337369i
$185$	473.822	−	273.562i	2.56120	−	1.47871i
$186$		−	70.1864i		−	0.377346i
$187$		−	450.468i		−	2.40892i
$188$	59.2951	+	102.702i	0.315399	+	0.546288i
$189$	18.1445	−	31.4272i	0.0960026	−	0.166281i
$190$	−158.156	+	273.935i	−0.832402	+	1.44176i
$191$	−241.620	+	139.499i	−1.26503	+	0.730364i	−0.974043	−	0.226364i	$-0.927316\pi$
$191$	−241.620	+	139.499i	−1.26503	+	0.730364i	−0.290984	+	0.956728i	$0.593983\pi$
$192$			24.3334i			0.126736i
$193$	−7.63302			−0.0395493			−0.0197747	−	0.999804i	$-0.506295\pi$
$193$	−7.63302			−0.0395493			−0.0197747	+	0.999804i	$0.506295\pi$
$194$	−3.53905	+	6.12981i	−0.0182425	+	0.0315970i
$195$	−172.949	+	99.8524i	−0.886920	+	0.512063i
$196$	−0.414238			−0.00211346
$197$	−248.290	−	143.350i	−1.26036	−	0.727667i	−0.287213	−	0.957867i	$-0.592729\pi$
$197$	−248.290	−	143.350i	−1.26036	−	0.727667i	−0.973143	+	0.230200i	$0.926062\pi$
$198$	118.059			0.596256
$199$	−77.8527	−	134.845i	−0.391220	−	0.677612i	0.601391	−	0.798955i	$-0.294613\pi$
$199$	−77.8527	−	134.845i	−0.391220	−	0.677612i	−0.992611	+	0.121343i	$0.961280\pi$
$200$			176.491i			0.882457i
$201$	113.586	−	23.7755i	0.565103	−	0.118286i
$202$	−335.977			−1.66325
$203$	8.32308	−	4.80533i	0.0410004	−	0.0236716i
$204$			87.6191i			0.429505i
$205$	−9.65393	+	16.7211i	−0.0470924	+	0.0815664i
$206$		−	340.344i		−	1.65216i
$207$	35.5458	+	61.5672i	0.171719	+	0.297426i
$208$	−260.309	−	150.290i	−1.25149	−	0.722546i
$209$		−	278.699i		−	1.33349i
$210$	223.753			1.06549
$211$	102.751	+	177.970i	0.486972	+	0.843461i	0.999888	−	0.0149782i	$-0.00476790\pi$
$211$	102.751	+	177.970i	0.486972	+	0.843461i	−0.512915	+	0.858439i	$0.671435\pi$
$212$	103.206	+	59.5863i	0.486823	+	0.281067i
$213$	13.6541	+	7.88321i	0.0641039	+	0.0370104i
$214$	−93.1787	+	53.7968i	−0.435415	+	0.251387i
$215$	172.440			0.802048
$216$	27.2231			0.126033
$217$	58.6019	+	101.502i	0.270055	+	0.467749i
$218$	154.649	+	267.859i	0.709398	+	1.22871i
$219$	30.5286	−	17.6257i	0.139400	−	0.0804825i
$220$	114.257	+	197.900i	0.519352	+	0.899543i
$221$	360.260	+	207.996i	1.63014	+	0.941159i
$222$	149.343	−	258.670i	0.672718	−	1.16518i
$223$	−9.52390			−0.0427081			−0.0213540	−	0.999772i	$-0.506798\pi$
$223$	−9.52390			−0.0427081			−0.0213540	+	0.999772i	$0.506798\pi$
$224$	95.2099	+	164.908i	0.425044	+	0.736198i
$225$	101.062			0.449166
$226$	446.318			1.97486
$227$	−164.415	+	284.774i	−0.724293	+	1.25451i	0.234971	+	0.972002i	$0.424501\pi$
$227$	−164.415	+	284.774i	−0.724293	+	1.25451i	−0.959264	+	0.282511i	$0.908833\pi$
$228$			54.2087i			0.237758i
$229$	146.907	−	84.8167i	0.641514	−	0.370379i	−0.143683	−	0.989624i	$-0.545895\pi$
$229$	146.907	−	84.8167i	0.641514	−	0.370379i	0.785198	+	0.619245i	$0.212561\pi$
$230$	−219.171	+	379.616i	−0.952918	+	1.65050i
$231$	−170.733	+	98.5728i	−0.739104	+	0.426722i
$232$	6.24376	+	3.60484i	0.0269128	+	0.0155381i
$233$	−110.016	−	63.5177i	−0.472171	−	0.272608i	0.244977	−	0.969529i	$-0.421220\pi$
$233$	−110.016	−	63.5177i	−0.472171	−	0.272608i	−0.717148	+	0.696921i	$0.754553\pi$
$234$	−54.5117	+	94.4170i	−0.232956	+	0.403491i
$235$	−429.877	−	248.190i	−1.82926	−	1.05613i
$236$	61.1337	−	105.887i	0.259041	−	0.448672i
$237$	−72.2834	+	125.198i	−0.304993	+	0.528264i
$238$	−233.043	−	403.642i	−0.979172	−	1.69598i
$239$	260.931	+	150.649i	1.09176	+	0.630329i	0.934045	−	0.357155i	$-0.116253\pi$
$239$	260.931	+	150.649i	1.09176	+	0.630329i	0.157717	+	0.987484i	$0.449586\pi$
$240$	132.497	+	229.492i	0.552072	+	0.956217i
$241$	245.890			1.02029			0.510145	−	0.860088i	$-0.329592\pi$
$241$	245.890			1.02029			0.510145	+	0.860088i	$0.329592\pi$
$242$	−302.423	−	174.604i	−1.24968	−	0.721503i
$243$		−	15.5885i		−	0.0641500i
$244$			31.3626i			0.128535i
$245$	1.50157	−	0.866931i	0.00612885	−	0.00353849i
$246$			10.5406i			0.0428480i
$247$	222.888	+	128.684i	0.902381	+	0.520990i
$248$	−43.9617	+	76.1439i	−0.177265	+	0.307032i
$249$	171.788	−	99.1819i	0.689912	−	0.398321i
$250$	80.3489	+	139.168i	0.321396	+	0.556673i
$251$	328.722	−	189.788i	1.30965	−	0.756127i	0.327613	−	0.944812i	$-0.393756\pi$
$251$	328.722	−	189.788i	1.30965	−	0.756127i	0.982038	+	0.188685i	$0.0604226\pi$
$252$	33.2087	−	19.1731i	0.131781	−	0.0760836i
$253$		−	386.217i		−	1.52655i
$254$		−	105.938i		−	0.417080i
$255$	−183.372	−	317.610i	−0.719107	−	1.24553i
$256$	−144.528	+	250.330i	−0.564563	+	0.977852i
$257$	116.868	−	202.421i	0.454740	−	0.787632i	−0.543934	−	0.839128i	$-0.683066\pi$
$257$	116.868	−	202.421i	0.454740	−	0.787632i	0.998673	+	0.0514961i	$0.0163990\pi$
$258$	81.5269	−	47.0696i	0.315996	−	0.182440i
$259$			498.775i			1.92577i
$260$	−211.026			−0.811638
$261$	2.06420	−	3.57530i	0.00790881	−	0.0136985i
$262$	494.899	−	285.730i	1.88893	−	1.09057i
$263$	−211.027			−0.802383			−0.401191	−	0.915994i	$-0.631404\pi$
$263$	−211.027			−0.802383			−0.401191	+	0.915994i	$0.631404\pi$
$264$	−128.080	−	73.9468i	−0.485150	−	0.280102i
$265$	−498.817			−1.88233
$266$	−144.181	−	249.728i	−0.542032	−	0.938828i
$267$			113.993i			0.426940i
$268$	116.506	+	38.2550i	0.434724	+	0.142743i
$269$	43.4933			0.161685			0.0808427	−	0.996727i	$-0.474239\pi$
$269$	43.4933			0.161685			0.0808427	+	0.996727i	$0.474239\pi$
$270$	83.2393	−	48.0582i	0.308294	−	0.177993i
$271$		−	52.7027i		−	0.194475i	−0.995261	−	0.0972374i	$-0.968999\pi$
$271$		−	52.7027i		−	0.194475i	0.995261	−	0.0972374i	$-0.0310006\pi$
$272$	275.997	−	478.040i	1.01469	−	1.75750i
$273$		−	182.057i		−	0.666877i
$274$	65.2913	+	113.088i	0.238289	+	0.412729i
$275$	−475.481	−	274.519i	−1.72902	−	0.998251i
$276$			75.1218i			0.272180i
$277$	35.8975			0.129594			0.0647969	−	0.997898i	$-0.479360\pi$
$277$	35.8975			0.129594			0.0647969	+	0.997898i	$0.479360\pi$
$278$	146.139	+	253.119i	0.525678	+	0.910501i
$279$	43.6015	+	25.1733i	0.156278	+	0.0902269i
$280$	−242.746	−	140.149i	−0.866948	−	0.500533i
$281$	−103.308	+	59.6448i	−0.367643	+	0.212259i	−0.672428	−	0.740162i	$-0.734749\pi$
$281$	−103.308	+	59.6448i	−0.367643	+	0.212259i	0.304785	+	0.952421i	$0.401415\pi$
$282$	−270.985			−0.960938
$283$	−124.730			−0.440743			−0.220371	−	0.975416i	$-0.570727\pi$
$283$	−124.730			−0.440743			−0.220371	+	0.975416i	$0.570727\pi$
$284$	8.33010	+	14.4282i	0.0293314	+	0.0508034i
$285$	−113.450	−	196.501i	−0.398070	−	0.689478i
$286$	512.935	−	296.143i	1.79348	−	1.03547i
$287$	−8.80084	−	15.2435i	−0.0306650	−	0.0531133i
$288$	70.8388	+	40.8988i	0.245968	+	0.142010i
$289$	−237.471	+	411.312i	−0.821699	+	1.42322i
$290$	25.4552			0.0877765
$291$	−2.53866	−	4.39708i	−0.00872391	−	0.0151103i
$292$	37.2497			0.127567
$293$	472.666			1.61319			0.806597	−	0.591102i	$-0.201307\pi$
$293$	472.666			1.61319			0.806597	+	0.591102i	$0.201307\pi$
$294$	0.473277	−	0.819740i	0.00160979	−	0.00278823i
$295$			511.771i			1.73482i
$296$	−324.040	+	187.084i	−1.09473	+	0.632042i
$297$	−42.3434	+	73.3409i	−0.142570	+	0.246939i
$298$	331.183	−	191.209i	1.11135	−	0.641640i
$299$	308.875	+	178.329i	1.03303	+	0.596419i
$300$	92.4842	+	53.3958i	0.308281	+	0.177986i
$301$	−78.6012	+	136.141i	−0.261133	+	0.452296i
$302$	256.672	+	148.190i	0.849908	+	0.490695i
$303$	120.503	−	208.717i	0.397699	−	0.688835i
$304$	170.756	−	295.757i	0.561696	−	0.972886i
$305$	−65.6367	−	113.686i	−0.215202	−	0.372741i
$306$	−173.390	−	100.107i	−0.566636	−	0.327147i
$307$	−88.4906	−	153.270i	−0.288243	−	0.499252i	0.685147	−	0.728404i	$-0.259738\pi$
$307$	−88.4906	−	153.270i	−0.288243	−	0.499252i	−0.973390	+	0.229153i	$0.926404\pi$
$308$	−208.322			−0.676369
$309$	211.430	+	122.069i	0.684240	+	0.395046i
$310$			310.431i			1.00139i
$311$			487.548i			1.56768i	0.620964	+	0.783839i	$0.286741\pi$
$311$			487.548i			1.56768i	−0.620964	+	0.783839i	$0.713259\pi$
$312$	118.277	−	68.2874i	0.379094	−	0.218870i
$313$			363.506i			1.16136i	0.814132	+	0.580680i	$0.197213\pi$
$313$			363.506i			1.16136i	−0.814132	+	0.580680i	$0.802787\pi$
$314$	−330.557	−	190.847i	−1.05273	−	0.607794i
$315$	−80.2522	+	139.001i	−0.254769	+	0.441272i
$316$	−132.296	+	76.3810i	−0.418658	+	0.241712i
$317$	−159.477	−	276.222i	−0.503081	−	0.871362i	−0.999994	−	0.00356112i	$-0.998866\pi$
$317$	−159.477	−	276.222i	−0.503081	−	0.871362i	0.496913	−	0.867800i	$-0.334467\pi$
$318$	−235.832	+	136.158i	−0.741610	+	0.428169i
$319$	−19.4234	+	11.2141i	−0.0608883	+	0.0351539i
$320$		−	107.625i		−	0.336329i
$321$		−	77.1798i		−	0.240435i
$322$	−199.804	−	346.070i	−0.620508	−	1.07475i
$323$	−236.320	+	409.319i	−0.731642	+	1.26724i
$324$	8.23607	−	14.2653i	0.0254200	−	0.0440287i
$325$	439.091	−	253.509i	1.35105	−	0.780028i
$326$			319.822i			0.981048i
$327$	−221.868			−0.678494
$328$	6.60217	−	11.4353i	0.0201286	−	0.0348637i
$329$	391.890	−	226.258i	1.19115	−	0.687714i
$330$	−522.168			−1.58233
$331$	−52.1504	−	30.1091i	−0.157554	−	0.0909640i	0.419150	−	0.907917i	$-0.362328\pi$
$331$	−52.1504	−	30.1091i	−0.157554	−	0.0909640i	−0.576704	+	0.816953i	$0.695661\pi$
$332$	209.609			0.631352
$333$	107.128	+	185.551i	0.321706	+	0.557211i
$334$			488.720i			1.46323i
$335$	−502.384	+	105.158i	−1.49965	+	0.313904i
$336$	−241.578			−0.718982
$337$	442.096	−	255.244i	1.31186	−	0.757401i	0.329454	−	0.944172i	$-0.393135\pi$
$337$	442.096	−	255.244i	1.31186	−	0.757401i	0.982404	+	0.186770i	$0.0598020\pi$
$338$			138.892i			0.410922i
$339$	−160.078	+	277.264i	−0.472207	+	0.817887i
$340$		−	387.535i		−	1.13981i
$341$	−136.758	−	236.872i	−0.401050	−	0.694639i
$342$	−107.274	−	61.9349i	−0.313668	−	0.181096i
$343$			343.788i			1.00230i
$344$	−117.929			−0.342817
$345$	−157.217	−	272.309i	−0.455703	−	0.789301i
$346$	−39.6083	−	22.8678i	−0.114475	−	0.0660920i
$347$	304.558	+	175.837i	0.877689	+	0.506734i	0.869896	−	0.493236i	$-0.164186\pi$
$347$	304.558	+	175.837i	0.877689	+	0.506734i	0.00779313	+	0.999970i	$0.497519\pi$
$348$	3.77798	−	2.18122i	0.0108563	−	0.00626786i
$349$	−250.410			−0.717508			−0.358754	−	0.933432i	$-0.616798\pi$
$349$	−250.410			−0.717508			−0.358754	+	0.933432i	$0.616798\pi$
$350$	−568.073			−1.62307
$351$	−39.1027	−	67.7279i	−0.111404	−	0.192957i
$352$	−222.189	−	384.843i	−0.631219	−	1.09330i
$353$	23.8501	−	13.7699i	0.0675642	−	0.0390082i	−0.465837	−	0.884870i	$-0.654247\pi$
$353$	23.8501	−	13.7699i	0.0675642	−	0.0390082i	0.533402	+	0.845862i	$0.320913\pi$
$354$	139.694	+	241.956i	0.394615	+	0.683493i
$355$	−60.3915	−	34.8671i	−0.170117	−	0.0982171i
$356$	−60.2276	+	104.317i	−0.169179	+	0.293026i
$357$	334.336			0.936516
$358$	−96.1330	−	166.507i	−0.268528	−	0.465104i
$359$	260.914			0.726779			0.363390	−	0.931637i	$-0.381619\pi$
$359$	260.914			0.726779			0.363390	+	0.931637i	$0.381619\pi$
$360$	−120.406			−0.334462
$361$	34.2917	−	59.3950i	0.0949909	−	0.164529i
$362$		−	786.001i		−	2.17127i
$363$	216.936	−	125.248i	0.597620	−	0.345036i
$364$	96.1890	−	166.604i	0.264256	−	0.457704i
$365$	−135.026	+	77.9575i	−0.369935	+	0.213582i
$366$	−62.0638	−	35.8326i	−0.169573	−	0.0979032i
$367$	72.3753	+	41.7859i	0.197208	+	0.113858i	0.595353	−	0.803465i	$-0.297012\pi$
$367$	72.3753	+	41.7859i	0.197208	+	0.113858i	−0.398145	+	0.917323i	$0.630346\pi$
$368$	236.631	−	409.857i	0.643018	−	1.11374i
$369$	−6.54807	−	3.78053i	−0.0177455	−	0.0102453i
$370$	−660.539	+	1144.09i	−1.78524	+	3.09213i
$371$	227.369	−	393.814i	0.612854	−	1.06149i
$372$	26.6004	+	46.0732i	0.0715063	+	0.123853i
$373$	−194.827	−	112.484i	−0.522325	−	0.301564i	0.215560	−	0.976491i	$-0.430842\pi$
$373$	−194.827	−	112.484i	−0.522325	−	0.301564i	−0.737885	+	0.674926i	$0.764176\pi$
$374$	543.847	+	941.971i	1.45414	+	2.51864i
$375$	−115.273			−0.307394
$376$	293.986	+	169.733i	0.781877	+	0.451417i
$377$		−	20.7117i		−	0.0549382i
$378$			87.6229i			0.231807i
$379$	200.308	−	115.648i	0.528516	−	0.305139i	−0.211896	−	0.977292i	$-0.567964\pi$
$379$	200.308	−	115.648i	0.528516	−	0.305139i	0.740412	+	0.672153i	$0.234630\pi$
$380$		−	239.763i		−	0.630954i
$381$	65.8114	+	37.9962i	0.172733	+	0.0997276i
$382$	336.834	−	583.413i	0.881764	−	1.52726i
$383$	−185.457	+	107.074i	−0.484223	+	0.279566i	−0.722175	−	0.691711i	$-0.756857\pi$
$383$	−185.457	+	107.074i	−0.484223	+	0.279566i	0.237952	+	0.971277i	$0.423524\pi$
$384$	−123.829	−	214.479i	−0.322472	−	0.558538i
$385$	755.144	−	435.983i	1.96141	−	1.13242i
$386$	15.9614	−	9.21530i	0.0413507	−	0.0238738i
$387$			67.5286i			0.174492i
$388$		−	5.36514i		−	0.0138277i
$389$	−254.999	−	441.672i	−0.655525	−	1.13540i	−0.981762	−	0.190115i	$-0.939114\pi$
$389$	−254.999	−	441.672i	−0.655525	−	1.13540i	0.326237	−	0.945288i	$-0.394219\pi$
$390$	241.102	−	417.602i	0.618211	−	1.07077i
$391$	−327.490	+	567.229i	−0.837570	+	1.45071i
$392$	−1.02690	+	0.592880i	−0.00261964	+	0.00151245i
$393$			409.924i			1.04306i
$394$	692.265			1.75702
$395$	319.706	−	553.747i	0.809382	−	1.40189i
$396$	−77.4985	+	44.7438i	−0.195703	+	0.112989i
$397$	−534.951			−1.34748			−0.673742	−	0.738967i	$-0.735314\pi$
$397$	−534.951			−1.34748			−0.673742	+	0.738967i	$0.735314\pi$
$398$	325.595	+	187.982i	0.818077	+	0.472317i
$399$	206.849			0.518420
$400$	−336.389	−	582.644i	−0.840974	−	1.45661i
$401$		−	631.986i		−	1.57603i	−0.615659	−	0.788013i	$-0.711110\pi$
$401$		−	631.986i		−	1.57603i	0.615659	−	0.788013i	$-0.288890\pi$
$402$	−208.815	+	186.848i	−0.519440	+	0.464797i
$403$	252.583			0.626757
$404$	220.549	−	127.334i	0.545913	−	0.315183i
$405$			68.9470i			0.170239i
$406$	−11.6029	+	20.0968i	−0.0285786	+	0.0494995i
$407$		−	1163.98i		−	2.85991i
$408$	125.405	+	217.208i	0.307366	+	0.532374i
$409$	−465.975	−	269.031i	−1.13930	−	0.657777i	−0.193045	−	0.981190i	$-0.561836\pi$
$409$	−465.975	−	269.031i	−1.13930	−	0.657777i	−0.946258	+	0.323413i	$0.895170\pi$
$410$		−	46.6206i		−	0.113709i
$411$	−93.6705			−0.227909
$412$	128.989	+	223.416i	0.313080	+	0.542271i
$413$	−404.042	−	233.274i	−0.978309	−	0.564827i
$414$	−148.659	−	85.8286i	−0.359081	−	0.207315i
$415$	−759.810	+	438.677i	−1.83087	+	1.05705i
$416$	410.369			0.986463
$417$	−209.658			−0.502778
$418$	336.471	+	582.785i	0.804955	+	1.39422i
$419$	−150.848	−	261.276i	−0.360018	−	0.623570i	0.627945	−	0.778258i	$-0.283896\pi$
$419$	−150.848	−	261.276i	−0.360018	−	0.623570i	−0.987963	+	0.154688i	$0.950563\pi$
$420$	−146.881	+	84.8016i	−0.349716	+	0.201908i
$421$	24.0694	+	41.6894i	0.0571720	+	0.0990247i	0.893195	−	0.449670i	$-0.148458\pi$
$421$	24.0694	+	41.6894i	0.0571720	+	0.0990247i	−0.836023	+	0.548695i	$0.815125\pi$
$422$	−429.725	−	248.102i	−1.01831	−	0.587919i
$423$	97.1923	−	168.342i	0.229769	−	0.397972i
$424$	341.133			0.804558
$425$	465.553	+	806.361i	1.09542	+	1.89732i
$426$	−38.0694			−0.0893649
$427$	119.673			0.280265
$428$	40.7775	−	70.6287i	0.0952745	−	0.165020i
$429$			424.863i			0.990358i
$430$	−360.589	+	208.186i	−0.838580	+	0.484154i
$431$	189.508	−	328.238i	0.439694	−	0.761573i	−0.557971	−	0.829860i	$-0.688420\pi$
$431$	189.508	−	328.238i	0.439694	−	0.761573i	0.997666	+	0.0682873i	$0.0217535\pi$
$432$	−89.8703	+	51.8867i	−0.208033	+	0.120108i
$433$	203.613	+	117.556i	0.470237	+	0.271492i	0.716339	−	0.697752i	$-0.245816\pi$
$433$	203.613	+	117.556i	0.470237	+	0.271492i	−0.246102	+	0.969244i	$0.579150\pi$
$434$	−245.084	−	141.500i	−0.564711	−	0.326036i
$435$	−9.12985	+	15.8134i	−0.0209882	+	0.0363526i
$436$	−203.035	−	117.223i	−0.465677	−	0.268859i
$437$	−202.614	+	350.937i	−0.463647	+	0.803059i
$438$	−42.5588	+	73.7139i	−0.0971661	+	0.168297i
$439$	−306.335	−	530.588i	−0.697802	−	1.20863i	−0.969227	−	0.246169i	$-0.920828\pi$
$439$	−306.335	−	530.588i	−0.697802	−	1.20863i	0.271424	−	0.962460i	$-0.412505\pi$
$440$	566.490	+	327.063i	1.28748	+	0.743325i
$441$	0.339495	+	0.588022i	0.000769829	+	0.00133338i
$442$	−1004.45			−2.27251
$443$	318.009	+	183.603i	0.717854	+	0.414453i	0.813962	−	0.580918i	$-0.197306\pi$
$443$	318.009	+	183.603i	0.717854	+	0.414453i	−0.0961085	+	0.995371i	$0.530640\pi$
$444$			226.402i			0.509915i
$445$		−	504.185i		−	1.13300i
$446$	19.9154	−	11.4981i	0.0446533	−	0.0257806i
$447$			274.318i			0.613688i
$448$	84.9699	+	49.0574i	0.189665	+	0.109503i
$449$	−199.822	+	346.103i	−0.445039	+	0.770830i	−0.998055	−	0.0623405i	$-0.980144\pi$
$449$	−199.822	+	346.103i	−0.445039	+	0.770830i	0.553016	+	0.833171i	$0.313477\pi$
$450$	−211.331	+	122.012i	−0.469625	+	0.271138i
$451$	20.5383	+	35.5734i	0.0455396	+	0.0788768i
$452$	−292.981	+	169.153i	−0.648189	+	0.374232i
$453$	−184.118	+	106.301i	−0.406442	+	0.234659i
$454$		−	793.987i		−	1.74887i
$455$			805.231i			1.76974i
$456$	77.5866	+	134.384i	0.170146	+	0.294702i
$457$	67.3596	−	116.670i	0.147395	−	0.255296i	−0.782869	−	0.622187i	$-0.786244\pi$
$457$	67.3596	−	116.670i	0.147395	−	0.255296i	0.930264	+	0.366891i	$0.119578\pi$
$458$	−204.797	+	354.719i	−0.447156	+	0.774497i
$459$	124.378	−	71.8095i	0.270976	−	0.156448i
$460$		−	332.260i		−	0.722304i
$461$	−555.887			−1.20583			−0.602914	−	0.797806i	$-0.705994\pi$
$461$	−555.887			−1.20583			−0.602914	+	0.797806i	$0.705994\pi$
$462$	238.013	−	412.250i	0.515179	−	0.892316i
$463$	−196.394	+	113.388i	−0.424177	+	0.244898i	−0.696863	−	0.717205i	$-0.745421\pi$
$463$	−196.394	+	113.388i	−0.424177	+	0.244898i	0.272686	+	0.962103i	$0.412088\pi$
$464$	−27.4830			−0.0592306
$465$	−192.847	−	111.340i	−0.414725	−	0.239442i
$466$	306.738			0.658237
$467$	129.157	+	223.706i	0.276566	+	0.479027i	0.970529	−	0.240984i	$-0.0774701\pi$
$467$	129.157	+	223.706i	0.276566	+	0.479027i	−0.693963	+	0.720011i	$0.744137\pi$
$468$		−	82.6388i		−	0.176579i
$469$	145.973	−	444.564i	0.311244	−	0.947897i
$470$	1198.55			2.55011
$471$	237.118	−	136.900i	0.503435	−	0.290658i
$472$		−	349.992i		−	0.741508i
$473$	183.430	−	317.710i	0.387801	−	0.671691i
$474$		−	349.069i		−	0.736433i
$475$	288.031	+	498.885i	0.606382	+	1.05028i
$476$	305.958	+	176.645i	0.642768	+	0.371102i
$477$		−	195.339i		−	0.409516i
$478$	−727.510			−1.52199
$479$	271.659	+	470.527i	0.567138	+	0.982311i	0.996847	+	0.0793443i	$0.0252826\pi$
$479$	271.659	+	470.527i	0.567138	+	0.982311i	−0.429709	+	0.902967i	$0.641384\pi$
$480$	−313.316	−	180.893i	−0.652743	−	0.376861i
$481$	930.889	+	537.449i	1.93532	+	1.11736i
$482$	−514.180	+	296.862i	−1.06676	+	0.615896i
$483$	286.649			0.593477
$484$	264.697			0.546894
$485$	11.2284	+	19.4481i	0.0231513	+	0.0400992i
$486$	18.8199	+	32.5969i	0.0387240	+	0.0670719i
$487$	581.934	−	335.980i	1.19494	−	0.689897i	0.235515	−	0.971871i	$-0.424322\pi$
$487$	581.934	−	335.980i	1.19494	−	0.689897i	0.959422	+	0.281973i	$0.0909890\pi$
$488$	44.8879	+	77.7481i	0.0919834	+	0.159320i
$489$	−198.681	−	114.708i	−0.406300	−	0.234578i
$490$	−2.09328	+	3.62567i	−0.00427200	+	0.00739933i
$491$	674.063			1.37284			0.686419	−	0.727207i	$-0.259182\pi$
$491$	674.063			1.37284			0.686419	+	0.727207i	$0.259182\pi$
$492$	−3.99485	−	6.91928i	−0.00811960	−	0.0140636i
$493$	38.0356			0.0771514
$494$	−621.440			−1.25798
$495$	187.283	−	324.383i	0.378349	−	0.655320i
$496$		−	335.161i		−	0.675727i
$497$	55.0549	−	31.7860i	0.110774	−	0.0639557i
$498$	−239.484	+	414.798i	−0.480891	+	0.832927i
$499$	−528.783	+	305.293i	−1.05969	+	0.611810i	−0.925345	−	0.379126i	$-0.876225\pi$
$499$	−528.783	+	305.293i	−1.05969	+	0.611810i	−0.134340	+	0.990935i	$0.542891\pi$
$500$	−105.488	−	60.9038i	−0.210977	−	0.121808i
$501$	−303.604	−	175.286i	−0.605997	−	0.349872i
$502$	−458.260	+	793.729i	−0.912868	+	1.58113i
$503$	448.063	+	258.689i	0.890781	+	0.514293i	0.874198	−	0.485570i	$-0.161388\pi$
$503$	448.063	+	258.689i	0.890781	+	0.514293i	0.0165832	+	0.999862i	$0.494721\pi$
$504$	54.8832	−	95.0604i	0.108895	−	0.188612i
$505$	−532.978	+	923.144i	−1.05540	+	1.82801i
$506$	466.277	+	807.616i	0.921497	+	1.59608i
$507$	−86.2828	−	49.8154i	−0.170183	−	0.0982552i
$508$	40.1502	+	69.5421i	0.0790358	+	0.136894i
$509$	92.4529			0.181636			0.0908181	−	0.995867i	$-0.471052\pi$
$509$	92.4529			0.181636			0.0908181	+	0.995867i	$0.471052\pi$
$510$	766.898	+	442.769i	1.50372	+	0.868174i
$511$		−	142.137i		−	0.278155i
$512$		−	126.009i		−	0.246111i
$513$	76.9509	−	44.4276i	0.150002	−	0.0866035i
$514$			564.377i			1.09801i
$515$	−935.145	−	539.906i	−1.81581	−	1.04836i
$516$	−35.6783	+	61.7967i	−0.0691441	+	0.119761i
$517$	−914.545	+	528.013i	−1.76895	+	1.02130i
$518$	−602.169	−	1042.99i	−1.16249	−	2.01349i
$519$	28.4121	−	16.4037i	0.0547439	−	0.0316064i
$520$	−523.135	+	302.032i	−1.00603	+	0.580831i
$521$		−	515.342i		−	0.989140i	−0.869138	−	0.494570i	$-0.835326\pi$
$521$		−	515.342i		−	0.989140i	0.869138	−	0.494570i	$-0.164674\pi$
$522$			9.96839i			0.0190965i
$523$	−123.718	−	214.286i	−0.236555	−	0.409724i	0.723169	−	0.690671i	$-0.242685\pi$
$523$	−123.718	−	214.286i	−0.236555	−	0.409724i	−0.959723	+	0.280947i	$0.909352\pi$
$524$	−216.581	+	375.130i	−0.413323	+	0.715896i
$525$	203.747	−	352.901i	0.388090	−	0.672192i
$526$	441.277	−	254.771i	0.838929	−	0.484356i
$527$			463.852i			0.880174i
$528$	563.765			1.06774
$529$	−16.2793	+	28.1965i	−0.0307737	+	0.0533015i
$530$	1043.07	−	602.219i	1.96806	−	1.13626i
$531$	−200.412			−0.377424
$532$	189.292	+	109.288i	0.355812	+	0.205428i
$533$	−37.9330			−0.0711688
$534$	−137.623	−	238.370i	−0.257721	−	0.446386i
$535$			341.362i			0.638060i
$536$	343.573	−	71.9156i	0.640994	−	0.134171i
$537$	137.918			0.256830
$538$	−90.9487	+	52.5093i	−0.169050	+	0.0976009i
$539$		−	3.68872i		−	0.00684363i
$540$	−36.4278	+	63.0947i	−0.0674588	+	0.116842i
$541$			484.435i			0.895443i	0.894173	+	0.447722i	$0.147764\pi$
$541$			484.435i			0.895443i	−0.894173	+	0.447722i	$0.852236\pi$
$542$	63.6276	+	110.206i	0.117394	+	0.203333i
$543$	488.283	+	281.910i	0.899231	+	0.519172i
$544$			753.615i			1.38532i
$545$	981.309			1.80057
$546$	219.797	+	380.699i	0.402558	+	0.697252i
$547$	−41.7562	−	24.1080i	−0.0763368	−	0.0440731i	0.461346	−	0.887220i	$-0.347367\pi$
$547$	−41.7562	−	24.1080i	−0.0763368	−	0.0440731i	−0.537683	+	0.843147i	$0.680700\pi$
$548$	−85.7196	−	49.4903i	−0.156423	−	0.0903107i
$549$	44.5201	−	25.7037i	0.0810930	−	0.0468191i
$550$	1325.70			2.41036
$551$	23.5321			0.0427081
$552$	107.519	+	186.228i	0.194780	+	0.337369i
$553$	291.454	+	504.814i	0.527042	+	0.912864i
$554$	−75.0650	+	43.3388i	−0.135496	+	0.0782289i
$555$	−473.822	−	820.685i	−0.853734	−	1.47871i
$556$	−191.862	−	110.772i	−0.345076	−	0.199230i
$557$	−448.753	+	777.262i	−0.805660	+	1.39544i	0.110185	+	0.993911i	$0.464856\pi$
$557$	−448.753	+	777.262i	−0.805660	+	1.39544i	−0.915845	+	0.401533i	$0.868478\pi$
$558$	−121.566			−0.217861
$559$	169.391	+	293.394i	0.303026	+	0.524856i
$560$	1068.49			1.90801
$561$	−780.233			−1.39079
$562$	144.018	−	249.446i	0.256259	−	0.443854i
$563$			361.474i			0.642050i	0.947071	+	0.321025i	$0.104027\pi$
$563$			361.474i			0.642050i	−0.947071	+	0.321025i	$0.895973\pi$
$564$	177.885	−	102.702i	0.315399	−	0.182096i
$565$	708.018	−	1226.32i	1.25313	−	2.17048i
$566$	260.823	−	150.586i	0.460818	−	0.266053i
$567$	−54.4334	−	31.4272i	−0.0960026	−	0.0554271i
$568$	41.3008	+	23.8450i	0.0727127	+	0.0419807i
$569$	−176.496	+	305.700i	−0.310186	+	0.537258i	−0.978403	−	0.206709i	$-0.933725\pi$
$569$	−176.496	+	305.700i	−0.310186	+	0.537258i	0.668216	+	0.743967i	$0.267058\pi$
$570$	474.469	+	273.935i	0.832402	+	0.480588i
$571$	−54.3808	+	94.1903i	−0.0952378	+	0.164957i	−0.909708	−	0.415249i	$-0.863694\pi$
$571$	−54.3808	+	94.1903i	−0.0952378	+	0.164957i	0.814470	+	0.580206i	$0.197028\pi$
$572$	−224.474	+	388.801i	−0.392437	+	0.679722i
$573$	241.620	+	418.498i	0.421676	+	0.730364i
$574$	36.8068	+	21.2504i	0.0641234	+	0.0370216i
$575$	399.150	+	691.348i	0.694174	+	1.20234i
$576$	42.1466			0.0731712
$577$	207.059	+	119.546i	0.358855	+	0.207185i	0.668578	−	0.743642i	$-0.266903\pi$
$577$	207.059	+	119.546i	0.358855	+	0.207185i	−0.309724	+	0.950827i	$0.600236\pi$
$578$		−	1146.79i		−	1.98407i
$579$			13.2208i			0.0228338i
$580$	−16.7098	+	9.64742i	−0.0288100	+	0.0166335i
$581$		−	799.824i		−	1.37663i
$582$	10.6172	+	6.12981i	0.0182425	+	0.0105323i
$583$	−530.606	+	919.036i	−0.910130	+	1.57639i
$584$	92.3423	−	53.3139i	0.158120	−	0.0912909i
$585$	172.949	+	299.557i	0.295640	+	0.512063i
$586$	−988.389	+	570.647i	−1.68667	+	0.973800i
$587$	−473.314	+	273.268i	−0.806327	+	0.465533i	−0.845679	−	0.533692i	$-0.820804\pi$
$587$	−473.314	+	273.268i	−0.806327	+	0.465533i	0.0393519	+	0.999225i	$0.487471\pi$
$588$			0.717480i			0.00122020i
$589$			286.979i			0.487231i
$590$	−617.858	−	1070.16i	−1.04722	−	1.81383i
$591$	−248.290	+	430.051i	−0.420119	+	0.727667i
$592$	713.158	−	1235.23i	1.20466	−	2.08653i
$593$	565.617	−	326.559i	0.953823	−	0.550690i	0.0595563	−	0.998225i	$-0.481031\pi$
$593$	565.617	−	326.559i	0.953823	−	0.550690i	0.894266	+	0.447535i	$0.147698\pi$
$594$		−	204.484i		−	0.344249i
$595$	−1478.75			−2.48530
$596$	−144.935	+	251.034i	−0.243179	+	0.421198i
$597$	−233.558	+	134.845i	−0.391220	+	0.225871i
$598$	−861.184			−1.44011
$599$	−51.9670	−	30.0032i	−0.0867563	−	0.0500888i	0.455994	−	0.889983i	$-0.349284\pi$
$599$	−51.9670	−	30.0032i	−0.0867563	−	0.0500888i	−0.542751	+	0.839894i	$0.682617\pi$
$600$	305.692			0.509487
$601$	108.551	+	188.015i	0.180617	+	0.312837i	0.942091	−	0.335358i	$-0.108857\pi$
$601$	108.551	+	188.015i	0.180617	+	0.312837i	−0.761474	+	0.648195i	$0.775524\pi$
$602$		−	379.579i		−	0.630530i
$603$	−41.1803	−	196.736i	−0.0682924	−	0.326263i
$604$	−224.653			−0.371943
$605$	−959.498	+	553.966i	−1.58595	+	0.915647i
$606$			581.929i			0.960279i
$607$	450.516	−	780.317i	0.742201	−	1.28553i	−0.209289	−	0.977854i	$-0.567115\pi$
$607$	450.516	−	780.317i	0.742201	−	1.28553i	0.951491	−	0.307677i	$-0.0995516\pi$
$608$			466.252i			0.766861i
$609$	−8.32308	−	14.4160i	−0.0136668	−	0.0236716i
$610$	274.505	+	158.486i	0.450009	+	0.259813i
$611$		−	975.205i		−	1.59608i
$612$	151.761			0.247975
$613$	−568.007	−	983.818i	−0.926603	−	1.60492i	−0.788963	−	0.614441i	$-0.789382\pi$
$613$	−568.007	−	983.818i	−0.926603	−	1.60492i	−0.137640	−	0.990482i	$-0.543952\pi$
$614$	370.085	+	213.668i	0.602744	+	0.347994i
$615$	28.9618	+	16.7211i	0.0470924	+	0.0271888i
$616$	−516.431	+	298.162i	−0.838362	+	0.484028i
$617$	−276.273			−0.447769			−0.223884	−	0.974616i	$-0.571874\pi$
$617$	−276.273			−0.447769			−0.223884	+	0.974616i	$0.571874\pi$
$618$	−589.494			−0.953873
$619$	−152.002	−	263.275i	−0.245560	−	0.425323i	0.716729	−	0.697352i	$-0.245639\pi$
$619$	−152.002	−	263.275i	−0.245560	−	0.425323i	−0.962289	+	0.272029i	$0.912305\pi$
$620$	−117.652	−	203.779i	−0.189761	−	0.328676i
$621$	106.638	−	61.5672i	0.171719	−	0.0991420i
$622$	−588.614	−	1019.51i	−0.946324	−	1.63908i
$623$	398.053	+	229.816i	0.638929	+	0.368886i
$624$	−260.309	+	450.869i	−0.417162	+	0.722546i
$625$	−332.341			−0.531745
$626$	−438.858	−	760.125i	−0.701052	−	1.21426i
$627$	−482.720			−0.769888
$628$	289.322			0.460703
$629$	−986.989	+	1709.52i	−1.56914	+	2.71783i
$630$		−	387.552i		−	0.615162i
$631$	267.954	−	154.703i	0.424649	−	0.245171i	−0.272415	−	0.962180i	$-0.587822\pi$
$631$	267.954	−	154.703i	0.424649	−	0.245171i	0.697065	+	0.717008i	$0.254489\pi$
$632$	−218.642	+	378.698i	−0.345952	+	0.599206i
$633$	308.254	−	177.970i	0.486972	−	0.281154i
$634$	666.962	+	385.070i	1.05199	+	0.607367i
$635$	−291.080	−	168.055i	−0.458394	−	0.264654i
$636$	103.206	−	178.759i	0.162274	−	0.281067i
$637$	2.95004	+	1.70320i	0.00463114	+	0.00267379i
$638$	27.0774	−	46.8995i	0.0424411	−	0.0735102i
$639$	13.6541	−	23.6496i	0.0213680	−	0.0370104i
$640$	547.691	+	948.628i	0.855767	+	1.48223i
$641$	−222.233	−	128.306i	−0.346698	−	0.200166i	0.316532	−	0.948582i	$-0.397481\pi$
$641$	−222.233	−	128.306i	−0.346698	−	0.200166i	−0.663230	+	0.748416i	$0.730815\pi$
$642$	93.1787	+	161.390i	0.145138	+	0.251387i
$643$	−38.9549			−0.0605830			−0.0302915	−	0.999541i	$-0.509644\pi$
$643$	−38.9549			−0.0605830			−0.0302915	+	0.999541i	$0.509644\pi$
$644$	262.318	+	151.450i	0.407327	+	0.235170i
$645$		−	298.676i		−	0.463063i
$646$		−	1141.23i		−	1.76661i
$647$	−907.564	+	523.982i	−1.40273	+	0.809865i	−0.994672	−	0.103093i	$-0.967126\pi$
$647$	−907.564	+	523.982i	−1.40273	+	0.809865i	−0.408055	+	0.912957i	$0.633793\pi$
$648$		−	47.1517i		−	0.0727650i
$649$	942.903	+	544.386i	1.45286	+	0.838807i
$650$	−612.120	+	1060.22i	−0.941724	+	1.63111i
$651$	175.806	−	101.502i	0.270055	−	0.155916i
$652$	−121.211	−	209.944i	−0.185907	−	0.322000i
$653$	233.846	−	135.011i	0.358110	−	0.206755i	−0.310141	−	0.950690i	$-0.600376\pi$
$653$	233.846	−	135.011i	0.358110	−	0.206755i	0.668251	+	0.743936i	$0.267043\pi$
$654$	463.946	−	267.859i	0.709398	−	0.409571i
$655$		−	1813.07i		−	2.76805i
$656$			50.3345i			0.0767294i
$657$	−30.5286	−	52.8770i	−0.0464666	−	0.0804825i
$658$	−546.319	+	946.253i	−0.830273	+	1.43807i
$659$	−15.1821	+	26.2962i	−0.0230381	+	0.0399031i	−0.877315	−	0.479916i	$-0.840667\pi$
$659$	−15.1821	+	26.2962i	−0.0230381	+	0.0399031i	0.854277	+	0.519819i	$0.174001\pi$
$660$	342.772	−	197.900i	0.519352	−	0.299848i
$661$		−	690.344i		−	1.04439i	−0.852825	−	0.522196i	$-0.825113\pi$
$661$		−	690.344i		−	1.04439i	0.852825	−	0.522196i	$-0.174887\pi$
$662$	145.402			0.219641
$663$	360.260	−	623.988i	0.543378	−	0.941159i
$664$	519.622	−	300.004i	0.782563	−	0.451813i
$665$	−914.885			−1.37577
$666$	−448.030	−	258.670i	−0.672718	−	0.388394i
$667$	32.6105			0.0488914
$668$	−185.223	−	320.815i	−0.277280	−	0.480262i
$669$			16.4959i			0.0246575i
$670$	923.577	−	826.420i	1.37847	−	1.23346i
$671$	−279.279			−0.416213
$672$	285.630	−	164.908i	0.425044	−	0.245399i
$673$		−	1069.46i		−	1.58910i	−0.607201	−	0.794549i	$-0.707708\pi$
$673$		−	1069.46i		−	1.58910i	0.607201	−	0.794549i	$-0.292292\pi$
$674$	−616.310	+	1067.48i	−0.914406	+	1.58380i
$675$		−	175.045i		−	0.259326i
$676$	−52.6394	−	91.1740i	−0.0778689	−	0.134873i
$677$	565.406	+	326.437i	0.835164	+	0.482182i	0.855617	−	0.517609i	$-0.173178\pi$
$677$	565.406	+	326.437i	0.835164	+	0.482182i	−0.0204536	+	0.999791i	$0.506511\pi$
$678$		−	773.046i		−	1.14019i
$679$	−20.4723			−0.0301506
$680$	−554.662	−	960.702i	−0.815679	−	1.41280i
$681$	493.244	+	284.774i	0.724293	+	0.418171i
$682$	571.948	+	330.214i	0.838634	+	0.484185i
$683$	660.499	−	381.339i	0.967056	−	0.558330i	0.0687185	−	0.997636i	$-0.478109\pi$
$683$	660.499	−	381.339i	0.967056	−	0.558330i	0.898337	+	0.439306i	$0.144776\pi$
$684$	93.8923			0.137269
$685$	414.300			0.604817
$686$	−415.053	−	718.893i	−0.605033	−	1.04795i
$687$	−146.907	−	254.450i	−0.213838	−	0.370379i
$688$	389.315	−	224.771i	0.565864	−	0.326702i
$689$	−489.997	−	848.700i	−0.711171	−	1.23178i
$690$	657.514	+	379.616i	0.952918	+	0.550168i
$691$	188.652	−	326.754i	0.273013	−	0.472872i	−0.696619	−	0.717441i	$-0.745313\pi$
$691$	188.652	−	326.754i	0.273013	−	0.472872i	0.969632	+	0.244569i	$0.0786466\pi$
$692$	34.6673			0.0500972
$693$	170.733	+	295.718i	0.246368	+	0.426722i
$694$	−849.146			−1.22355
$695$	927.309			1.33426
$696$	6.24376	−	10.8145i	0.00897092	−	0.0155381i
$697$		−	69.6613i		−	0.0999445i
$698$	523.632	−	302.319i	0.750189	−	0.433122i
$699$	−110.016	+	190.553i	−0.157390	+	0.272608i
$700$	372.906	−	215.298i	0.532723	−	0.307568i
$701$	468.640	+	270.569i	0.668530	+	0.385976i	0.795520	−	0.605928i	$-0.207198\pi$
$701$	468.640	+	270.569i	0.668530	+	0.385976i	−0.126989	+	0.991904i	$0.540531\pi$
$702$	163.535	+	94.4170i	0.232956	+	0.134497i
$703$	−610.637	+	1057.65i	−0.868616	+	1.50449i
$704$	−198.292	−	114.484i	−0.281665	−	0.162620i
$705$	−429.877	+	744.569i	−0.609755	+	1.05613i
$706$	−33.2486	+	57.5883i	−0.0470944	+	0.0815698i
$707$	−485.880	−	841.569i	−0.687242	−	1.19034i
$708$	−183.401	−	105.887i	−0.259041	−	0.149557i
$709$	1.05558	+	1.82832i	0.00148883	+	0.00257873i	0.866769	−	0.498710i	$-0.166193\pi$
$709$	1.05558	+	1.82832i	0.00148883	+	0.00257873i	−0.865280	+	0.501289i	$0.832859\pi$
$710$	168.379			0.237154
$711$	216.850	+	125.198i	0.304993	+	0.176088i
$712$			344.804i			0.484276i
$713$			397.692i			0.557773i
$714$	−699.129	+	403.642i	−0.979172	+	0.565325i
$715$		−	1879.15i		−	2.62818i
$716$	126.211	+	72.8681i	0.176273	+	0.101771i
$717$	260.931	−	451.946i	0.363921	−	0.630329i
$718$	−545.596	+	315.000i	−0.759883	+	0.438718i
$719$	206.600	+	357.842i	0.287343	+	0.497694i	0.973175	−	0.230067i	$-0.0738946\pi$
$719$	206.600	+	357.842i	0.287343	+	0.497694i	−0.685831	+	0.727761i	$0.740561\pi$
$720$	397.492	−	229.492i	0.552072	−	0.318739i
$721$	852.509	−	492.196i	1.18240	−	0.682658i
$722$			165.601i			0.229364i
$723$		−	425.894i		−	0.589065i
$724$	297.891	+	515.963i	0.411452	+	0.712656i
$725$	23.1792	−	40.1476i	0.0319714	−	0.0553760i
$726$	−302.423	+	523.812i	−0.416560	+	0.721503i
$727$	347.386	−	200.563i	0.477835	−	0.275878i	−0.241679	−	0.970356i	$-0.577698\pi$
$727$	347.386	−	200.563i	0.477835	−	0.275878i	0.719514	+	0.694478i	$0.244365\pi$
$728$		−	550.685i		−	0.756435i
$729$	−27.0000			−0.0370370
$730$	188.235	−	326.033i	0.257857	−	0.446621i
$731$	−538.799	+	311.076i	−0.737072	+	0.425549i
$732$	54.3216			0.0742098
$733$	−55.8664	−	32.2545i	−0.0762161	−	0.0440034i	0.461408	−	0.887188i	$-0.347345\pi$
$733$	−55.8664	−	32.2545i	−0.0762161	−	0.0440034i	−0.537624	+	0.843185i	$0.680678\pi$
$734$	−201.792			−0.274920
$735$	−1.50157	−	2.60079i	−0.00204295	−	0.00353849i
$736$			646.125i			0.877888i
$737$	−340.655	+	1037.47i	−0.462218	+	1.40769i
$738$	18.2569			0.0247383
$739$	−681.825	+	393.652i	−0.922632	+	0.532682i	−0.884474	−	0.466590i	$-0.845483\pi$
$739$	−681.825	+	393.652i	−0.922632	+	0.532682i	−0.0381585	+	0.999272i	$0.512149\pi$
$740$		−	1001.37i		−	1.35320i
$741$	222.888	−	386.053i	0.300794	−	0.520990i
$742$			1098.00i			1.47979i
$743$	−416.452	−	721.315i	−0.560500	−	0.970815i	−0.997453	−	0.0713301i	$-0.977276\pi$
$743$	−416.452	−	721.315i	−0.560500	−	0.970815i	0.436953	−	0.899484i	$-0.356058\pi$
$744$	131.885	+	76.1439i	0.177265	+	0.102344i
$745$		−	1213.30i		−	1.62859i
$746$	543.203			0.728154
$747$	−171.788	−	297.546i	−0.229971	−	0.398321i
$748$	−714.007	−	412.232i	−0.954554	−	0.551112i
$749$	−269.505	−	155.599i	−0.359819	−	0.207742i
$750$	241.047	−	139.168i	0.321396	−	0.185558i
$751$	330.624			0.440245			0.220123	−	0.975472i	$-0.429354\pi$
$751$	330.624			0.440245			0.220123	+	0.975472i	$0.429354\pi$
$752$	−1294.03			−1.72079
$753$	−328.722	−	569.364i	−0.436550	−	0.756127i
$754$	25.0051	+	43.3101i	0.0331633	+	0.0574405i
$755$	814.345	−	470.162i	1.07860	−	0.622731i
$756$	−33.2087	−	57.5192i	−0.0439269	−	0.0760836i
$757$	533.650	+	308.103i	0.704953	+	0.407005i	0.809190	−	0.587548i	$-0.199907\pi$
$757$	533.650	+	308.103i	0.704953	+	0.407005i	−0.104236	+	0.994553i	$0.533240\pi$
$758$	−279.242	+	483.661i	−0.368393	+	0.638075i
$759$	−668.947			−0.881353
$760$	−343.162	−	594.374i	−0.451529	−	0.782071i
$761$	−597.254			−0.784827			−0.392414	−	0.919789i	$-0.628360\pi$
$761$	−597.254			−0.784827			−0.392414	+	0.919789i	$0.628360\pi$
$762$	−183.490			−0.240801
$763$	−447.297	+	774.741i	−0.586235	+	1.01539i
$764$			510.635i			0.668370i
$765$	−550.117	+	317.610i	−0.719107	+	0.415177i
$766$	258.539	−	447.803i	0.337519	−	0.584600i
$767$	−870.740	+	502.722i	−1.13525	+	0.655439i
$768$	433.584	+	250.330i	0.564563	+	0.325951i
$769$	−904.033	−	521.944i	−1.17560	−	0.678731i	−0.220604	−	0.975363i	$-0.570803\pi$
$769$	−904.033	−	521.944i	−1.17560	−	0.678731i	−0.954992	+	0.296633i	$0.904136\pi$
$770$	−1052.72	+	1823.36i	−1.36717	+	2.36800i
$771$	−350.604	−	202.421i	−0.454740	−	0.262544i
$772$	−6.98512	+	12.0986i	−0.00904808	+	0.0156717i
$773$	140.166	−	242.774i	0.181327	−	0.314067i	−0.761006	−	0.648745i	$-0.775294\pi$
$773$	140.166	−	242.774i	0.181327	−	0.314067i	0.942333	+	0.334678i	$0.108627\pi$
$774$	−81.5269	−	141.209i	−0.105332	−	0.182440i
$775$	489.608	+	282.675i	0.631752	+	0.364742i
$776$	−7.67889	−	13.3002i	−0.00989548	−	0.0171395i
$777$	863.904			1.11185
$778$	1066.46	+	615.718i	1.37077	+	0.791412i
$779$		−	43.0985i		−	0.0553255i
$780$			365.507i			0.468599i
$781$	−128.480	+	74.1782i	−0.164508	+	0.0949785i
$782$		−	1581.51i		−	2.02239i
$783$	−6.19260	−	3.57530i	−0.00790881	−	0.00456615i
$784$	2.26004	−	3.91450i	0.00288270	−	0.00499298i
$785$	−1048.76	+	605.502i	−1.33600	+	0.771341i
$786$	−494.899	−	857.191i	−0.629643	−	1.09057i
$787$	584.942	−	337.717i	0.743256	−	0.429119i	−0.0799961	−	0.996795i	$-0.525491\pi$
$787$	584.942	−	337.717i	0.743256	−	0.429119i	0.823252	+	0.567676i	$0.192157\pi$
$788$	−454.430	+	262.365i	−0.576688	+	0.332951i
$789$			365.509i			0.463256i
$790$			1543.92i			1.95432i
$791$	645.453	+	1117.96i	0.815996	+	1.41335i
$792$	−128.080	+	221.840i	−0.161717	+	0.280102i
$793$	128.952	−	223.352i	0.162613	−	0.281654i
$794$	1118.63	−	645.844i	1.40886	−	0.813405i
$795$			863.976i			1.08676i
$796$	−284.978			−0.358013
$797$	−266.496	+	461.585i	−0.334374	+	0.579153i	−0.983364	−	0.181644i	$-0.941858\pi$
$797$	−266.496	+	461.585i	−0.334374	+	0.579153i	0.648990	+	0.760797i	$0.275192\pi$
$798$	−432.542	+	249.728i	−0.542032	+	0.312943i
$799$	1790.90			2.24143
$800$	795.460	+	459.259i	0.994325	+	0.574074i
$801$	197.442			0.246494
$802$	762.993	+	1321.54i	0.951363	+	1.64781i
$803$			331.703i			0.413079i
$804$	66.2596	−	201.795i	0.0824125	−	0.250988i
$805$	−1267.84			−1.57495
$806$	−528.175	+	304.942i	−0.655304	+	0.378340i
$807$		−	75.3327i		−	0.0933491i
$808$	364.495	−	631.324i	0.451108	−	0.781341i
$809$		−	829.164i		−	1.02492i	−0.858710	−	0.512462i	$-0.828734\pi$
$809$		−	829.164i		−	1.02492i	0.858710	−	0.512462i	$-0.171266\pi$
$810$	−83.2393	−	144.175i	−0.102765	−	0.177993i
$811$	27.5048	+	15.8799i	0.0339147	+	0.0195807i	0.516861	−	0.856069i	$-0.327100\pi$
$811$	27.5048	+	15.8799i	0.0339147	+	0.0195807i	−0.482947	+	0.875650i	$0.660434\pi$
$812$		−	17.5898i		−	0.0216623i
$813$	−91.2837			−0.112280
$814$	1405.27	+	2434.00i	1.72637	+	2.99017i
$815$	878.755	+	507.350i	1.07823	+	0.622515i
$816$	−827.990	−	478.040i	−1.01469	−	0.585834i
$817$	−333.348	+	192.459i	−0.408015	+	0.235567i
$818$	1299.20			1.58826
$819$	−315.333			−0.385022
$820$	17.6690	+	30.6036i	0.0215476	+	0.0373215i
$821$	−254.427	−	440.681i	−0.309899	−	0.536761i	0.668441	−	0.743765i	$-0.266962\pi$
$821$	−254.427	−	440.681i	−0.309899	−	0.536761i	−0.978340	+	0.207004i	$0.933629\pi$
$822$	195.874	−	113.088i	0.238289	−	0.137576i
$823$	209.009	+	362.014i	0.253960	+	0.439871i	0.964612	−	0.263672i	$-0.0849336\pi$
$823$	209.009	+	362.014i	0.253960	+	0.439871i	−0.710653	+	0.703543i	$0.751600\pi$
$824$	639.530	+	369.233i	0.776129	+	0.448098i
$825$	−475.481	+	823.557i	−0.576340	+	0.998251i
$826$	1126.52			1.36383
$827$	−264.993	−	458.982i	−0.320427	−	0.554996i	0.660149	−	0.751135i	$-0.270493\pi$
$827$	−264.993	−	458.982i	−0.320427	−	0.554996i	−0.980576	+	0.196139i	$0.937160\pi$
$828$	130.115			0.157143
$829$	650.471			0.784645			0.392323	−	0.919828i	$-0.371672\pi$
$829$	650.471			0.784645			0.392323	+	0.919828i	$0.371672\pi$
$830$	1059.22	−	1834.63i	1.27617	−	2.21040i
$831$		−	62.1762i		−	0.0748210i
$832$	183.116	−	105.722i	0.220092	−	0.127070i
$833$	−3.12782	+	5.41755i	−0.00375489	+	0.00650366i
$834$	438.416	−	253.119i	0.525678	−	0.303500i
$835$	1342.83	+	775.282i	1.60818	+	0.928481i
$836$	−441.746	−	255.042i	−0.528405	−	0.305075i
$837$	43.6015	−	75.5200i	0.0520925	−	0.0902269i
$838$	630.874	+	364.235i	0.752833	+	0.434648i
$839$	22.0060	−	38.1156i	0.0262289	−	0.0454298i	−0.852613	−	0.522543i	$-0.824983\pi$
$839$	22.0060	−	38.1156i	0.0262289	−	0.0454298i	0.878842	+	0.477113i	$0.158317\pi$
$840$	−242.746	+	420.448i	−0.288983	+	0.500533i
$841$	419.553	+	726.687i	0.498874	+	0.864075i
$842$	−100.663	−	58.1177i	−0.119552	−	0.0690234i
$843$	103.308	+	178.934i	0.122548	+	0.212259i
$844$	376.118			0.445638
$845$	381.624	+	220.331i	0.451627	+	0.260747i
$846$			469.359i			0.554798i
$847$		−	1010.03i		−	1.19248i
$848$	−1126.17	+	650.193i	−1.32803	+	0.766737i
$849$			216.039i			0.254463i
$850$	−1947.03	−	1124.12i	−2.29062	−	1.32249i
$851$	−846.213	+	1465.68i	−0.994375	+	1.72231i
$852$	24.9903	−	14.4282i	0.0293314	−	0.0169345i
$853$	326.507	+	565.527i	0.382775	+	0.662986i	0.991458	−	0.130428i	$-0.0416351\pi$
$853$	326.507	+	565.527i	0.382775	+	0.662986i	−0.608683	+	0.793414i	$0.708302\pi$
$854$	−250.248	+	144.481i	−0.293030	+	0.169181i
$855$	−340.350	+	196.501i	−0.398070	+	0.229826i
$856$		−	233.452i		−	0.272725i
$857$			927.211i			1.08193i	0.841046	+	0.540963i	$0.181940\pi$
$857$			927.211i			1.08193i	−0.841046	+	0.540963i	$0.818060\pi$
$858$	−512.935	−	888.430i	−0.597827	−	1.03547i
$859$	−595.499	+	1031.43i	−0.693247	+	1.20074i	0.277521	+	0.960720i	$0.410487\pi$
$859$	−595.499	+	1031.43i	−0.693247	+	1.20074i	−0.970768	+	0.240020i	$0.922846\pi$
$860$	157.804	−	273.324i	0.183492	−	0.317818i
$861$	−26.4025	+	15.2435i	−0.0306650	+	0.0177044i
$862$			915.169i			1.06168i
$863$	860.978			0.997657			0.498829	−	0.866701i	$-0.333764\pi$
$863$	860.978			0.997657			0.498829	+	0.866701i	$0.333764\pi$
$864$	70.8388	−	122.696i	0.0819893	−	0.142010i
$865$	−125.665	+	72.5529i	−0.145278	+	0.0838762i
$866$	−567.698			−0.655540
$867$	712.413	+	411.312i	0.821699	+	0.474408i
$868$	214.511			0.247133
$869$	−680.161	−	1178.07i	−0.782693	−	1.35566i
$870$		−	44.0897i		−	0.0506778i
$871$	−672.419	−	751.471i	−0.772008	−	0.862768i
$872$	−671.102			−0.769612
$873$	−7.61597	+	4.39708i	−0.00872391	+	0.00503675i
$874$		−	978.457i		−	1.11952i
$875$	−232.396	+	402.522i	−0.265596	+	0.460026i
$876$		−	64.5184i		−	0.0736511i
$877$	462.674	+	801.374i	0.527564	+	0.913768i	0.999484	+	0.0321262i	$0.0102279\pi$
$877$	462.674	+	801.374i	0.527564	+	0.913768i	−0.471920	+	0.881641i	$0.656439\pi$
$878$	1281.15	+	739.674i	1.45917	+	0.842453i
$879$		−	818.681i		−	0.931378i
$880$	−2493.50			−2.83353
$881$	−362.870	−	628.509i	−0.411884	−	0.713404i	0.583212	−	0.812320i	$-0.301796\pi$
$881$	−362.870	−	628.509i	−0.411884	−	0.713404i	−0.995096	+	0.0989162i	$0.968462\pi$
$882$	−1.41983	−	0.819740i	−0.00160979	−	0.000929410i
$883$	−823.723	−	475.577i	−0.932868	−	0.538592i	−0.0451507	−	0.998980i	$-0.514377\pi$
$883$	−823.723	−	475.577i	−0.932868	−	0.538592i	−0.887718	+	0.460388i	$0.847710\pi$
$884$	659.362	−	380.683i	0.745884	−	0.430636i
$885$	886.413			1.00160
$886$	−886.650			−1.00073
$887$	752.890	+	1304.04i	0.848805	+	1.47017i	0.882275	+	0.470734i	$0.156011\pi$
$887$	752.890	+	1304.04i	0.848805	+	1.47017i	−0.0334704	+	0.999440i	$0.510656\pi$
$888$	324.040	+	561.253i	0.364909	+	0.632042i
$889$	265.358	−	153.205i	0.298491	−	0.172334i
$890$	608.700	+	1054.30i	0.683933	+	1.18461i
$891$	127.030	+	73.3409i	0.142570	+	0.0823130i
$892$	−8.71550	+	15.0957i	−0.00977074	+	0.0169234i
$893$	1108.01			1.24077
$894$	−331.183	−	573.626i	−0.370451	−	0.641640i
$895$	−610.003			−0.681568
$896$	−998.586			−1.11449
$897$	308.875	−	534.988i	0.344343	−	0.596419i
$898$		−	964.978i		−	1.07459i
$899$	20.0005	−	11.5473i	0.0222475	−	0.0128446i
$900$	92.4842	−	160.187i	0.102760	−	0.177986i
$901$	1558.58	−	899.847i	1.72983	−	0.998720i
$902$	−85.8952	−	49.5916i	−0.0952275	−	0.0549797i
$903$	235.804	+	136.141i	0.261133	+	0.150765i
$904$	−484.202	+	838.663i	−0.535622	+	0.927725i
$905$	−2159.65	−	1246.87i	−2.38635	−	1.37776i
$906$	256.672	−	444.569i	0.283303	−	0.490695i
$907$	−722.511	+	1251.43i	−0.796594	+	1.37974i	0.125228	+	0.992128i	$0.460034\pi$
$907$	−722.511	+	1251.43i	−0.796594	+	1.37974i	−0.921822	+	0.387614i	$0.873299\pi$
$908$	300.918	+	521.205i	0.331407	+	0.574015i
$909$	−361.508	−	208.717i	−0.397699	−	0.229612i
$910$	−972.151	−	1683.81i	−1.06830	−	1.85035i
$911$	886.883			0.973527			0.486764	−	0.873534i	$-0.338177\pi$
$911$	886.883			0.973527			0.486764	+	0.873534i	$0.338177\pi$
$912$	−512.267	−	295.757i	−0.561696	−	0.324295i
$913$			1866.53i			2.04439i
$914$			325.292i			0.355899i
$915$	−196.910	+	113.686i	−0.215202	+	0.124247i
$916$		−	310.470i		−	0.338941i
$917$	1431.42	+	826.429i	1.56098	+	0.901232i
$918$	−173.390	+	300.321i	−0.188879	+	0.327147i
$919$	414.611	−	239.376i	0.451155	−	0.260474i	−0.257163	−	0.966368i	$-0.582788\pi$
$919$	414.611	−	239.376i	0.451155	−	0.260474i	0.708318	+	0.705894i	$0.249454\pi$
$920$	−475.549	−	823.675i	−0.516901	−	0.895299i
$921$	−265.472	+	153.270i	−0.288243	+	0.166417i
$922$	1162.41	−	671.119i	1.26075	−	0.727895i
$923$		−	137.002i		−	0.148431i
$924$			360.823i			0.390502i
$925$	1202.96	+	2083.59i	1.30050	+	2.25253i
$926$	273.785	−	474.210i	0.295664	−	0.512106i
$927$	211.430	−	366.208i	0.228080	−	0.395046i
$928$	32.4945	−	18.7607i	0.0350157	−	0.0202163i
$929$		−	795.536i		−	0.856336i	−0.903699	−	0.428168i	$-0.859159\pi$
$929$		−	795.536i		−	0.856336i	0.903699	−	0.428168i	$-0.140841\pi$
$930$	537.682			0.578153
$931$	−1.93514	+	3.35176i	−0.00207856	+	0.00360018i
$932$	−201.355	+	116.253i	−0.216047	+	0.124735i
$933$	844.457			0.905099
$934$	−540.157	−	311.860i	−0.578327	−	0.333897i
$935$	3450.93			3.69084
$936$	−118.277	−	204.862i	−0.126365	−	0.218870i
$937$		−	204.419i		−	0.218163i	−0.994033	−	0.109082i	$-0.965209\pi$
$937$		−	204.419i		−	0.218163i	0.994033	−	0.109082i	$-0.0347910\pi$
$938$	231.475	+	1105.86i	0.246775	+	1.17895i
$939$	629.610			0.670512
$940$	−786.777	+	454.246i	−0.836997	+	0.483241i
$941$		−	142.639i		−	0.151582i	−0.997124	−	0.0757910i	$-0.975852\pi$
$941$		−	142.639i		−	0.151582i	0.997124	−	0.0757910i	$-0.0241482\pi$
$942$	−330.557	+	572.542i	−0.350910	+	0.607794i
$943$		−	59.7254i		−	0.0633355i
$944$	667.078	+	1155.41i	0.706650	+	1.22395i
$945$	240.756	+	139.001i	0.254769	+	0.147091i
$946$			885.815i			0.936380i
$947$	97.2650			0.102709			0.0513543	−	0.998680i	$-0.483646\pi$
$947$	97.2650			0.102709			0.0513543	+	0.998680i	$0.483646\pi$
$948$	132.296	+	229.143i	0.139553	+	0.241712i
$949$	−265.278	−	153.158i	−0.279534	−	0.161389i
$950$	−1204.60	−	695.477i	−1.26800	−	0.732081i
$951$	−478.430	+	276.222i	−0.503081	+	0.290454i
$952$	1011.30			1.06229
$953$	−1395.42			−1.46424			−0.732118	−	0.681178i	$-0.761468\pi$
$953$	−1395.42			−1.46424			−0.732118	+	0.681178i	$0.761468\pi$
$954$	235.832	+	408.473i	0.247203	+	0.428169i
$955$	−1068.67	−	1851.00i	−1.11903	−	1.93822i
$956$	477.567	−	275.723i	0.499547	−	0.288413i
$957$	19.4234	+	33.6423i	0.0202961	+	0.0351539i
$958$	−1136.13	−	655.945i	−1.18594	−	0.684702i
$959$	−188.845	+	327.089i	−0.196918	+	0.341073i
$960$	−186.412			−0.194180
$961$	−339.679	−	588.341i	−0.353464	−	0.612217i
$962$	−2595.44			−2.69796
$963$	−133.679			−0.138815
$964$	225.019	−	389.744i	0.233422	−	0.404299i
$965$		−	58.4748i		−	0.0605957i
$966$	−599.411	+	346.070i	−0.620508	+	0.358251i
$967$	693.406	−	1201.01i	0.717069	−	1.24200i	−0.245087	−	0.969501i	$-0.578816\pi$
$967$	693.406	−	1201.01i	0.717069	−	1.24200i	0.962156	−	0.272499i	$-0.0878502\pi$
$968$	656.185	−	378.849i	0.677877	−	0.391373i
$969$	708.961	+	409.319i	0.731642	+	0.422414i
$970$	−46.9591	−	27.1119i	−0.0484115	−	0.0279504i
$971$	858.968	−	1487.78i	0.884622	−	1.53221i	0.0384748	−	0.999260i	$-0.487750\pi$
$971$	858.968	−	1487.78i	0.884622	−	1.53221i	0.846147	−	0.532950i	$-0.178917\pi$
$972$	−24.7082	−	14.2653i	−0.0254200	−	0.0146762i
$973$	−422.682	+	732.108i	−0.434412	+	0.752423i
$974$	−811.253	+	1405.13i	−0.832909	+	1.44264i
$975$	−439.091	−	760.527i	−0.450349	−	0.780028i
$976$	−296.373	−	171.111i	−0.303661	−	0.175319i
$977$	311.705	+	539.889i	0.319043	+	0.552599i	0.980289	−	0.197571i	$-0.0633052\pi$
$977$	311.705	+	539.889i	0.319043	+	0.552599i	−0.661245	+	0.750170i	$0.729972\pi$
$978$	553.947			0.566408
$979$	−928.928	−	536.317i	−0.948854	−	0.547821i
$980$		−	3.17338i		−	0.00323814i
$981$			384.286i			0.391729i
$982$	−1409.53	+	813.793i	−1.43537	+	0.828709i
$983$		−	371.006i		−	0.377422i	−0.982033	−	0.188711i	$-0.939569\pi$
$983$		−	371.006i		−	0.377422i	0.982033	−	0.188711i	$-0.0604310\pi$
$984$	−19.8065	−	11.4353i	−0.0201286	−	0.0116212i
$985$	1098.18	−	1902.10i	1.11490	−	1.93106i
$986$	−79.5361	+	45.9202i	−0.0806655	+	0.0465722i
$987$	−391.890	−	678.773i	−0.397052	−	0.687714i
$988$	407.938	−	235.523i	0.412893	−	0.238384i
$989$	−461.949	+	266.707i	−0.467087	+	0.269673i
$990$			904.422i			0.913557i
$991$		−	860.917i		−	0.868735i	−0.900736	−	0.434368i	$-0.856972\pi$
$991$		−	860.917i		−	0.868735i	0.900736	−	0.434368i	$-0.143028\pi$
$992$	228.791	+	396.277i	0.230636	+	0.399473i
$993$	−52.1504	+	90.3272i	−0.0525181	+	0.0909640i
$994$	−76.7500	+	132.935i	−0.0772133	+	0.133737i
$995$	1033.02	−	596.412i	1.03821	−	0.599409i
$996$		−	363.053i		−	0.364511i
$997$	−1639.79			−1.64472			−0.822361	−	0.568966i	$-0.807343\pi$
$997$	−1639.79			−1.64472			−0.822361	+	0.568966i	$0.807343\pi$
$998$	737.157	−	1276.79i	0.738634	−	1.27935i
$999$	321.384	−	185.551i	0.321706	−	0.185737i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.3.h.a.97.4	✓	22
67.38	odd	6	inner	201.3.h.a.172.4	yes	22

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.3.h.a.97.4	✓	22	1.1	even	1	trivial
201.3.h.a.172.4	yes	22	67.38	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	201.h (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.09110 + 1.20729i) q^{2} -1.73205i q^{3} +(0.915119 - 1.58503i) q^{4} +7.66078i q^{5} +(2.09110 + 3.62188i) q^{6} +(-6.04816 - 3.49191i) q^{7} -5.23908i q^{8} -3.00000 q^{9} +O(q^{10})\)	\(q+(-2.09110 + 1.20729i) q^{2} -1.73205i q^{3} +(0.915119 - 1.58503i) q^{4} +7.66078i q^{5} +(2.09110 + 3.62188i) q^{6} +(-6.04816 - 3.49191i) q^{7} -5.23908i q^{8} -3.00000 q^{9} +(-9.24881 - 16.0194i) q^{10} +(14.1145 + 8.14899i) q^{11} +(-2.74536 - 1.58503i) q^{12} +(-13.0342 + 7.52532i) q^{13} +16.8630 q^{14} +13.2689 q^{15} +(9.98559 + 17.2956i) q^{16} +(-13.8198 - 23.9365i) q^{17} +(6.27329 - 3.62188i) q^{18} +(-8.55010 - 14.8092i) q^{19} +(12.1426 + 7.01052i) q^{20} +(-6.04816 + 10.4757i) q^{21} -39.3529 q^{22} +(-11.8486 - 20.5224i) q^{23} -9.07435 q^{24} -33.6875 q^{25} +(18.1706 - 31.4723i) q^{26} +5.19615i q^{27} +(-11.0696 + 6.39102i) q^{28} +(-0.688067 + 1.19177i) q^{29} +(-27.7464 + 16.0194i) q^{30} +(-14.5338 - 8.39111i) q^{31} +(-23.6129 - 13.6329i) q^{32} +(14.1145 - 24.4470i) q^{33} +(57.7968 + 33.3690i) q^{34} +(26.7507 - 46.3336i) q^{35} +(-2.74536 + 4.75510i) q^{36} +(-35.7094 - 61.8505i) q^{37} +(35.7581 + 20.6450i) q^{38} +(13.0342 + 22.5760i) q^{39} +40.1354 q^{40} +(2.18269 + 1.26018i) q^{41} -29.2076i q^{42} -22.5095i q^{43} +(25.8328 - 14.9146i) q^{44} -22.9823i q^{45} +(49.5532 + 28.6095i) q^{46} +(-32.3974 + 56.1140i) q^{47} +(29.9568 - 17.2956i) q^{48} +(-0.113165 - 0.196007i) q^{49} +(70.4437 - 40.6707i) q^{50} +(-41.4593 + 23.9365i) q^{51} +27.5463i q^{52} +65.1131i q^{53} +(-6.27329 - 10.8656i) q^{54} +(-62.4276 + 108.128i) q^{55} +(-18.2944 + 31.6868i) q^{56} +(-25.6503 + 14.8092i) q^{57} -3.32280i q^{58} +66.8041 q^{59} +(12.1426 - 21.0316i) q^{60} +(-14.8400 + 8.56789i) q^{61} +40.5221 q^{62} +(18.1445 + 10.4757i) q^{63} -14.0489 q^{64} +(-57.6498 - 99.8524i) q^{65} +68.1612i q^{66} +(13.7268 + 65.5788i) q^{67} -50.5869 q^{68} +(-35.5458 + 20.5224i) q^{69} +129.184i q^{70} +(-4.55138 + 7.88321i) q^{71} +15.7172i q^{72} +(10.1762 + 17.6257i) q^{73} +(149.343 + 86.2235i) q^{74} +58.3484i q^{75} -31.2974 q^{76} +(-56.9110 - 98.5728i) q^{77} +(-54.5117 - 31.4723i) q^{78} +(-72.2834 - 41.7328i) q^{79} +(-132.497 + 76.4974i) q^{80} +9.00000 q^{81} -6.08562 q^{82} +(57.2627 + 99.1819i) q^{83} +(11.0696 + 19.1731i) q^{84} +(183.372 - 105.870i) q^{85} +(27.1756 + 47.0696i) q^{86} +(2.06420 + 1.19177i) q^{87} +(42.6932 - 73.9468i) q^{88} -65.8139 q^{89} +(27.7464 + 48.0582i) q^{90} +105.111 q^{91} -43.3716 q^{92} +(-14.5338 + 25.1733i) q^{93} -156.453i q^{94} +(113.450 - 65.5004i) q^{95} +(-23.6129 + 40.8988i) q^{96} +(2.53866 - 1.46569i) q^{97} +(0.473277 + 0.273247i) q^{98} +(-42.3434 - 24.4470i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 22 q + 26 q^{4} - 15 q^{7} - 66 q^{9}+O(q^{10}) \) 22 * q + 26 * q^4 - 15 * q^7 - 66 * q^9	\( 22 q + 26 q^{4} - 15 q^{7} - 66 q^{9} + 6 q^{10} + 30 q^{11} - 78 q^{12} - 27 q^{13} + 6 q^{14} - 6 q^{15} - 58 q^{16} - 8 q^{17} + q^{19} - 12 q^{20} - 15 q^{21} + 14 q^{22} - q^{23} - 56 q^{25} + 71 q^{26} - 75 q^{28} + 42 q^{29} + 18 q^{30} + 120 q^{31} - 105 q^{32} + 30 q^{33} - 24 q^{34} + 3 q^{35} - 78 q^{36} + 13 q^{37} + 108 q^{38} + 27 q^{39} + 82 q^{40} - 159 q^{41} + 189 q^{44} + 372 q^{46} - 35 q^{47} - 174 q^{48} - 40 q^{49} + 285 q^{50} - 24 q^{51} - 212 q^{55} - 113 q^{56} + 3 q^{57} + 136 q^{59} - 12 q^{60} + 63 q^{61} - 150 q^{62} + 45 q^{63} - 284 q^{64} - 20 q^{65} + 94 q^{67} + 154 q^{68} - 3 q^{69} - 41 q^{71} - 16 q^{73} + 441 q^{74} - 390 q^{76} - 84 q^{77} - 213 q^{78} - 615 q^{79} + 267 q^{80} + 198 q^{81} - 302 q^{82} - 154 q^{83} + 75 q^{84} + 633 q^{85} + 221 q^{86} - 126 q^{87} + 410 q^{88} + 56 q^{89} - 18 q^{90} + 272 q^{91} + 636 q^{92} + 120 q^{93} + 588 q^{95} - 105 q^{96} - 441 q^{97} + 780 q^{98} - 90 q^{99}+O(q^{100}) \) 22 * q + 26 * q^4 - 15 * q^7 - 66 * q^9 + 6 * q^10 + 30 * q^11 - 78 * q^12 - 27 * q^13 + 6 * q^14 - 6 * q^15 - 58 * q^16 - 8 * q^17 + q^19 - 12 * q^20 - 15 * q^21 + 14 * q^22 - q^23 - 56 * q^25 + 71 * q^26 - 75 * q^28 + 42 * q^29 + 18 * q^30 + 120 * q^31 - 105 * q^32 + 30 * q^33 - 24 * q^34 + 3 * q^35 - 78 * q^36 + 13 * q^37 + 108 * q^38 + 27 * q^39 + 82 * q^40 - 159 * q^41 + 189 * q^44 + 372 * q^46 - 35 * q^47 - 174 * q^48 - 40 * q^49 + 285 * q^50 - 24 * q^51 - 212 * q^55 - 113 * q^56 + 3 * q^57 + 136 * q^59 - 12 * q^60 + 63 * q^61 - 150 * q^62 + 45 * q^63 - 284 * q^64 - 20 * q^65 + 94 * q^67 + 154 * q^68 - 3 * q^69 - 41 * q^71 - 16 * q^73 + 441 * q^74 - 390 * q^76 - 84 * q^77 - 213 * q^78 - 615 * q^79 + 267 * q^80 + 198 * q^81 - 302 * q^82 - 154 * q^83 + 75 * q^84 + 633 * q^85 + 221 * q^86 - 126 * q^87 + 410 * q^88 + 56 * q^89 - 18 * q^90 + 272 * q^91 + 636 * q^92 + 120 * q^93 + 588 * q^95 - 105 * q^96 - 441 * q^97 + 780 * q^98 - 90 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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