LMFDB - Embedded newform 23.19.d.a.5.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [23,19,Mod(5,23)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(23, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 19, names="a")

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

chi := DirichletCharacter("23.5");

S:= CuspForms(chi, 19);

N := Newforms(S);

Level:	$ N $	$=$	$ 23 $
Weight:	$ k $	$=$	$ 19 $
Character orbit:	$[\chi]$	$=$	23.d (of order $22$, degree $10$, 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:	$47.2388116732$
Analytic rank:	$0$
Dimension:	$350$
Relative dimension:	$35$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			5.14
Character	$\chi$	$=$	23.5
Dual form			23.19.d.a.14.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-247.435 - 72.6536i) q^{2} +(-2002.81 + 2311.37i) q^{3} +(-164584. - 105772. i) q^{4} +(3.73299e6 + 536723. i) q^{5} +(663496. - 426403. i) q^{6} +(1.64144e7 - 7.49620e6i) q^{7} +(7.73091e7 + 8.92195e7i) q^{8} +(5.38045e7 + 3.74219e8i) q^{9} +(-8.84679e8 - 4.04020e8i) q^{10} +(1.25584e9 + 4.27699e9i) q^{11} +(5.74108e8 - 1.68573e8i) q^{12} +(2.65877e9 - 5.82189e9i) q^{13} +(-4.60612e9 + 6.62261e8i) q^{14} +(-8.71706e9 + 7.55337e9i) q^{15} +(8.65816e9 + 1.89587e10i) q^{16} +(-3.97848e10 - 6.19064e10i) q^{17} +(1.38752e10 - 9.65040e10i) q^{18} +(6.65744e10 - 1.03592e11i) q^{19} +(-5.57620e11 - 4.83181e11i) q^{20} +(-1.55485e10 + 5.29532e10i) q^{21} -1.14952e12i q^{22} +(-7.80273e11 + 1.62337e12i) q^{23} -3.61055e11 q^{24} +(9.98699e12 + 2.93244e12i) q^{25} +(-1.08085e12 + 1.24737e12i) q^{26} +(-1.96950e12 - 1.26572e12i) q^{27} +(-3.49443e12 - 5.02423e11i) q^{28} +(-1.22172e13 + 7.85150e12i) q^{29} +(2.70569e12 - 1.23565e12i) q^{30} +(-2.33974e13 - 2.70020e13i) q^{31} +(-5.16916e12 - 3.59523e13i) q^{32} +(-1.24009e13 - 5.66331e12i) q^{33} +(5.34645e12 + 1.82083e13i) q^{34} +(6.52982e13 - 1.91733e13i) q^{35} +(3.07264e13 - 6.72813e13i) q^{36} +(-1.86513e14 + 2.68165e13i) q^{37} +(-2.39992e13 + 2.07954e13i) q^{38} +(8.13153e12 + 1.78056e13i) q^{39} +(2.40708e14 + 3.74549e14i) q^{40} +(-3.25216e13 + 2.26193e14i) q^{41} +(7.69448e12 - 1.19728e13i) q^{42} +(5.13389e14 + 4.44854e14i) q^{43} +(2.45694e14 - 8.36756e14i) q^{44} +1.42583e15i q^{45} +(3.11011e14 - 3.44989e14i) q^{46} +8.99782e13 q^{47} +(-6.11613e13 - 1.79586e13i) q^{48} +(-8.53145e14 + 9.84582e14i) q^{49} +(-2.25808e15 - 1.45118e15i) q^{50} +(2.22770e14 + 3.20295e13i) q^{51} +(-1.05338e15 + 6.76967e14i) q^{52} +(4.32658e15 - 1.97588e15i) q^{53} +(3.95365e14 + 4.56276e14i) q^{54} +(2.39247e15 + 1.66400e16i) q^{55} +(1.93779e15 + 8.84958e14i) q^{56} +(1.06103e14 + 3.61353e14i) q^{57} +(3.59340e15 - 1.05512e15i) q^{58} +(-2.05283e15 + 4.49508e15i) q^{59} +(2.23362e15 - 3.21146e14i) q^{60} +(-1.05013e16 + 9.09939e15i) q^{61} +(3.82754e15 + 8.38115e15i) q^{62} +(3.68838e15 + 5.73924e15i) q^{63} +(-5.55472e14 + 3.86339e15i) q^{64} +(1.30499e16 - 2.03061e16i) q^{65} +(2.65697e15 + 2.30227e15i) q^{66} +(2.85918e15 - 9.73748e15i) q^{67} +1.43969e16i q^{68} +(-2.18947e15 - 5.05481e15i) q^{69} -1.75501e16 q^{70} +(-1.95690e16 - 5.74596e15i) q^{71} +(-2.92280e16 + 3.37309e16i) q^{72} +(3.01467e15 + 1.93741e15i) q^{73} +(4.80982e16 + 6.91547e15i) q^{74} +(-2.67800e16 + 1.72105e16i) q^{75} +(-2.19141e16 + 1.00078e16i) q^{76} +(5.26750e16 + 6.07902e16i) q^{77} +(-7.18390e14 - 4.99651e15i) q^{78} +(1.90581e17 + 8.70354e16i) q^{79} +(2.21452e16 + 7.54198e16i) q^{80} +(-1.33668e17 + 3.92484e16i) q^{81} +(2.44807e16 - 5.36053e16i) q^{82} +(1.55169e17 - 2.23099e16i) q^{83} +(8.15997e15 - 7.07066e15i) q^{84} +(-1.15290e17 - 2.52450e17i) q^{85} +(-9.47103e16 - 1.47372e17i) q^{86} +(6.32100e15 - 4.39635e16i) q^{87} +(-2.84503e17 + 4.42695e17i) q^{88} +(-3.82936e17 - 3.31816e17i) q^{89} +(1.03592e17 - 3.52802e17i) q^{90} -1.15493e17i q^{91} +(3.00127e17 - 1.84650e17i) q^{92} +1.09272e17 q^{93} +(-2.22638e16 - 6.53723e15i) q^{94} +(3.04122e17 - 3.50975e17i) q^{95} +(9.34520e16 + 6.00580e16i) q^{96} +(6.48447e17 + 9.32327e16i) q^{97} +(2.82632e17 - 1.81636e17i) q^{98} +(-1.53296e18 + 7.00079e17i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 350 q - 179 q^{2} + 20119 q^{3} - 4092083 q^{4} - 11 q^{5} - 2318126 q^{6} - 11 q^{7} - 18825206 q^{8} - 4214797052 q^{9} - 11 q^{10} - 11 q^{11} + 5321755786 q^{12} + 655768935 q^{13} - 11 q^{14} + 253448904621 q^{15}+ \cdots - 95\!\cdots\!51 q^{99}+O(q^{100}) $ 350 * q - 179 * q^2 + 20119 * q^3 - 4092083 * q^4 - 11 * q^5 - 2318126 * q^6 - 11 * q^7 - 18825206 * q^8 - 4214797052 * q^9 - 11 * q^10 - 11 * q^11 + 5321755786 * q^12 + 655768935 * q^13 - 11 * q^14 + 253448904621 * q^15 - 121059691035 * q^16 - 296340696091 * q^17 + 845128269786 * q^18 + 34950057109 * q^19 - 4104516534283 * q^20 + 5306405877949 * q^21 - 8788512317886 * q^23 + 16248757876058 * q^24 + 15898871892338 * q^25 - 12820353995934 * q^26 - 13015455785135 * q^27 + 105657239863285 * q^28 + 24125383566071 * q^29 - 190975720579083 * q^30 + 21755707682535 * q^31 - 243907502265099 * q^32 + 261034241184453 * q^33 - 129972082436273 * q^34 - 266152601718391 * q^35 + 559915831168033 * q^36 + 428874756612181 * q^37 - 1776255039233686 * q^38 + 549617987179705 * q^39 + 3407519671874989 * q^40 + 453667246412903 * q^41 - 6199000632151481 * q^42 + 1284249744062989 * q^43 + 7033574851458386 * q^44 - 11529170898896835 * q^46 - 2752011365749412 * q^47 + 7346362951210082 * q^48 + 14923872408166082 * q^49 - 8729688416622456 * q^50 - 15827415309093971 * q^51 - 11781732119049248 * q^52 + 10327001802201029 * q^53 + 16483884134652258 * q^54 - 6495140540052155 * q^55 - 112789689088256488 * q^56 + 79316406647596261 * q^57 + 80750695224012275 * q^58 - 103310090431970893 * q^59 + 56789760614471819 * q^60 + 64312558011025621 * q^61 + 78525812725681666 * q^62 - 56271156969207411 * q^63 - 224715274461002686 * q^64 - 45304722356970395 * q^65 + 206405045580983832 * q^66 + 65297330513632789 * q^67 - 143603139268291161 * q^69 - 403103996477716918 * q^70 - 7242816485765057 * q^71 + 620604439361873263 * q^72 + 69596528836762215 * q^73 + 102815849039067692 * q^74 + 116102034703195999 * q^75 - 930398829208773122 * q^76 - 693643966535804563 * q^77 + 2957501787035331408 * q^78 + 960132297145477093 * q^79 - 2513912900105850122 * q^80 - 3453140773055113594 * q^81 + 841776961191439844 * q^82 + 2134251156441149669 * q^83 + 1875963344476894475 * q^84 - 2497986830714303135 * q^85 - 709961756623859245 * q^86 - 2620179835179103895 * q^87 + 746914657235259645 * q^88 + 2323216414828777369 * q^89 + 6947866797842083322 * q^90 - 2374143188353425254 * q^92 - 8687469182791611658 * q^93 - 3156566639060022579 * q^94 + 1273876168349301101 * q^95 + 19129033188570894661 * q^96 + 2956262222729055625 * q^97 - 5708307230013551083 * q^98 - 9593810550169008251 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/23\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{1}{22}\right)$

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 $

$2$	−247.435	−	72.6536i	−0.483272	−	0.141901i	0.0310161	−	0.999519i	$-0.490126\pi$
$2$	−247.435	−	72.6536i	−0.483272	−	0.141901i	−0.514288	+	0.857617i	$0.671944\pi$
$3$	−2002.81	+	2311.37i	−0.101754	+	0.117430i	−0.804342	−	0.594167i	$-0.797482\pi$
$3$	−2002.81	+	2311.37i	−0.101754	+	0.117430i	0.702589	+	0.711596i	$0.252027\pi$
$4$	−164584.	−	105772.i	−0.627838	−	0.403487i
$5$	3.73299e6	+	536723.i	1.91129	+	0.274802i	0.992719	−	0.120449i	$-0.0384336\pi$
$5$	3.73299e6	+	536723.i	1.91129	+	0.274802i	0.918573	+	0.395252i	$0.129343\pi$
$6$	663496.	−	426403.i	0.0658381	−	0.0423116i
$7$	1.64144e7	−	7.49620e6i	0.406764	−	0.185763i	−0.201517	−	0.979485i	$-0.564587\pi$
$7$	1.64144e7	−	7.49620e6i	0.406764	−	0.185763i	0.608280	+	0.793722i	$0.291860\pi$
$8$	7.73091e7	+	8.92195e7i	0.575998	+	0.664737i
$9$	5.38045e7	+	3.74219e8i	0.138879	+	0.965924i
$10$	−8.84679e8	−	4.04020e8i	−0.884679	−	0.404020i
$11$	1.25584e9	+	4.27699e9i	0.532598	+	1.81386i	0.579513	+	0.814963i	$0.303243\pi$
$11$	1.25584e9	+	4.27699e9i	0.532598	+	1.81386i	−0.0469157	+	0.998899i	$0.514939\pi$
$12$	5.74108e8	−	1.68573e8i	0.111266	−	0.0326707i
$13$	2.65877e9	−	5.82189e9i	0.250721	−	0.549002i	−0.741865	−	0.670550i	$-0.766058\pi$
$13$	2.65877e9	−	5.82189e9i	0.250721	−	0.549002i	0.992586	+	0.121547i	$0.0387857\pi$
$14$	−4.60612e9	+	6.62261e8i	−0.222938	+	0.0320536i
$15$	−8.71706e9	+	7.55337e9i	−0.226751	+	0.196481i
$16$	8.65816e9	+	1.89587e10i	0.125993	+	0.275886i
$17$	−3.97848e10	−	6.19064e10i	−0.335488	−	0.522030i	0.631993	−	0.774974i	$-0.282237\pi$
$17$	−3.97848e10	−	6.19064e10i	−0.335488	−	0.522030i	−0.967481	+	0.252945i	$0.918601\pi$
$18$	1.38752e10	−	9.65040e10i	0.0699497	−	0.486511i
$19$	6.65744e10	−	1.03592e11i	0.206312	−	0.321028i	−0.722642	−	0.691222i	$-0.757073\pi$
$19$	6.65744e10	−	1.03592e11i	0.206312	−	0.321028i	0.928954	+	0.370194i	$0.120709\pi$
$20$	−5.57620e11	−	4.83181e11i	−1.08910	−	0.943712i
$21$	−1.55485e10	+	5.29532e10i	−0.0195755	+	0.0666682i
$22$		−	1.14952e12i		−	0.952165i
$23$	−7.80273e11	+	1.62337e12i	−0.433207	+	0.901294i
$23$	−7.80273e11	+	1.62337e12i	−0.433207	+	0.901294i
$24$	−3.61055e11			−0.136670
$25$	9.98699e12	+	2.93244e12i	2.61803	+	0.768723i
$26$	−1.08085e12	+	1.24737e12i	−0.199071	+	0.229740i
$27$	−1.96950e12	−	1.26572e12i	−0.258275	−	0.165983i
$28$	−3.49443e12	−	5.02423e11i	−0.330334	−	0.0474949i
$29$	−1.22172e13	+	7.85150e12i	−0.842149	+	0.541216i	−0.889117	−	0.457680i	$-0.848680\pi$
$29$	−1.22172e13	+	7.85150e12i	−0.842149	+	0.541216i	0.0469680	+	0.998896i	$0.485044\pi$
$30$	2.70569e12	−	1.23565e12i	0.137463	−	0.0627773i
$31$	−2.33974e13	−	2.70020e13i	−0.884935	−	1.02127i	−0.999612	−	0.0278667i	$-0.991129\pi$
$31$	−2.33974e13	−	2.70020e13i	−0.884935	−	1.02127i	0.114676	−	0.993403i	$-0.463417\pi$
$32$	−5.16916e12	−	3.59523e13i	−0.146916	−	1.02183i
$33$	−1.24009e13	−	5.66331e12i	−0.267195	−	0.122024i
$34$	5.34645e12	+	1.82083e13i	0.0880553	+	0.299889i
$35$	6.52982e13	−	1.91733e13i	0.828492	−	0.243267i
$36$	3.07264e13	−	6.72813e13i	0.302544	−	0.662479i
$37$	−1.86513e14	+	2.68165e13i	−1.43514	+	0.206341i	−0.815595	−	0.578623i	$-0.803590\pi$
$37$	−1.86513e14	+	2.68165e13i	−1.43514	+	0.206341i	−0.619541	+	0.784964i	$0.712681\pi$
$38$	−2.39992e13	+	2.07954e13i	−0.145259	+	0.125868i
$39$	8.13153e12	+	1.78056e13i	0.0389575	+	0.0853050i
$40$	2.40708e14	+	3.74549e14i	0.918229	+	1.42879i
$41$	−3.25216e13	+	2.26193e14i	−0.0993384	+	0.690914i	0.877911	+	0.478823i	$0.158936\pi$
$41$	−3.25216e13	+	2.26193e14i	−0.0993384	+	0.690914i	−0.977250	+	0.212091i	$0.931973\pi$
$42$	7.69448e12	−	1.19728e13i	0.0189206	−	0.0294411i
$43$	5.13389e14	+	4.44854e14i	1.02148	+	0.885119i	0.993425	−	0.114488i	$-0.0365226\pi$
$43$	5.13389e14	+	4.44854e14i	1.02148	+	0.885119i	0.0280568	+	0.999606i	$0.491068\pi$
$44$	2.45694e14	−	8.36756e14i	0.397484	−	1.35371i
$45$			1.42583e15i			1.88433i
$46$	3.11011e14	−	3.44989e14i	0.337252	−	0.374098i
$47$	8.99782e13			0.0804001			0.0402000	−	0.999192i	$-0.487200\pi$
$47$	8.99782e13			0.0804001			0.0402000	+	0.999192i	$0.487200\pi$
$48$	−6.11613e13	−	1.79586e13i	−0.0452174	−	0.0132770i
$49$	−8.53145e14	+	9.84582e14i	−0.523912	+	0.604626i
$50$	−2.25808e15	−	1.45118e15i	−1.15614	−	0.743004i
$51$	2.22770e14	+	3.20295e13i	0.0954390	+	0.0137221i
$52$	−1.05338e15	+	6.76967e14i	−0.378927	+	0.243522i
$53$	4.32658e15	−	1.97588e15i	1.31118	−	0.598795i	0.367612	−	0.929979i	$-0.380175\pi$
$53$	4.32658e15	−	1.97588e15i	1.31118	−	0.598795i	0.943566	+	0.331184i	$0.107448\pi$
$54$	3.95365e14	+	4.56276e14i	0.101264	+	0.116865i
$55$	2.39247e15	+	1.66400e16i	0.519497	+	3.61318i
$56$	1.93779e15	+	8.84958e14i	0.357778	+	0.163392i
$57$	1.06103e14	+	3.61353e14i	0.0167053	+	0.0568929i
$58$	3.59340e15	−	1.05512e15i	0.483786	−	0.142053i
$59$	−2.05283e15	+	4.49508e15i	−0.236966	+	0.518883i	−0.990332	−	0.138719i	$-0.955702\pi$
$59$	−2.05283e15	+	4.49508e15i	−0.236966	+	0.518883i	0.753366	+	0.657601i	$0.228429\pi$
$60$	2.23362e15	−	3.21146e14i	0.221640	−	0.0318670i
$61$	−1.05013e16	+	9.09939e15i	−0.897993	+	0.778115i	−0.975757	−	0.218857i	$-0.929767\pi$
$61$	−1.05013e16	+	9.09939e15i	−0.897993	+	0.778115i	0.0777644	+	0.996972i	$0.475222\pi$
$62$	3.82754e15	+	8.38115e15i	0.282745	+	0.619125i
$63$	3.68838e15	+	5.73924e15i	0.235924	+	0.367104i
$64$	−5.55472e14	+	3.86339e15i	−0.0308349	+	0.214461i
$65$	1.30499e16	−	2.03061e16i	0.630068	−	0.980405i
$66$	2.65697e15	+	2.30227e15i	0.111813	+	0.0968861i
$67$	2.85918e15	−	9.73748e15i	0.105092	−	0.357910i	−0.890111	−	0.455744i	$-0.849373\pi$
$67$	2.85918e15	−	9.73748e15i	0.105092	−	0.357910i	0.995203	+	0.0978341i	$0.0311915\pi$
$68$			1.43969e16i			0.463115i
$69$	−2.18947e15	−	5.05481e15i	−0.0617584	−	0.142581i
$70$	−1.75501e16			−0.434907
$71$	−1.95690e16	−	5.74596e15i	−0.426818	−	0.125325i	0.0612667	−	0.998121i	$-0.480486\pi$
$71$	−1.95690e16	−	5.74596e15i	−0.426818	−	0.125325i	−0.488084	+	0.872796i	$0.662304\pi$
$72$	−2.92280e16	+	3.37309e16i	−0.562091	+	0.648688i
$73$	3.01467e15	+	1.93741e15i	0.0512075	+	0.0329091i	0.565994	−	0.824409i	$-0.308492\pi$
$73$	3.01467e15	+	1.93741e15i	0.0512075	+	0.0329091i	−0.514787	+	0.857318i	$0.672129\pi$
$74$	4.80982e16	+	6.91547e15i	0.722841	+	0.103929i
$75$	−2.67800e16	+	1.72105e16i	−0.356665	+	0.229214i
$76$	−2.19141e16	+	1.00078e16i	−0.259061	+	0.118309i
$77$	5.26750e16	+	6.07902e16i	0.553589	+	0.638876i
$78$	−7.18390e14	−	4.99651e15i	−0.00672216	−	0.0467536i
$79$	1.90581e17	+	8.70354e16i	1.59014	+	0.726193i	0.996889	−	0.0788228i	$-0.0251161\pi$
$79$	1.90581e17	+	8.70354e16i	1.59014	+	0.726193i	0.593253	+	0.805016i	$0.297843\pi$
$80$	2.21452e16	+	7.54198e16i	0.164995	+	0.561921i
$81$	−1.33668e17	+	3.92484e16i	−0.890556	+	0.261491i
$82$	2.44807e16	−	5.36053e16i	0.146049	−	0.319803i
$83$	1.55169e17	−	2.23099e16i	0.830045	−	0.119342i	0.285822	−	0.958283i	$-0.407733\pi$
$83$	1.55169e17	−	2.23099e16i	0.830045	−	0.119342i	0.544223	+	0.838940i	$0.316824\pi$
$84$	8.15997e15	−	7.07066e15i	0.0391900	−	0.0339583i
$85$	−1.15290e17	−	2.52450e17i	−0.497761	−	1.08994i
$86$	−9.47103e16	−	1.47372e17i	−0.368054	−	0.572703i
$87$	6.32100e15	−	4.39635e16i	0.0221367	−	0.153964i
$88$	−2.84503e17	+	4.42695e17i	−0.898965	+	1.39882i
$89$	−3.82936e17	−	3.31816e17i	−1.09299	−	0.947080i	−0.0941647	−	0.995557i	$-0.530018\pi$
$89$	−3.82936e17	−	3.31816e17i	−1.09299	−	0.947080i	−0.998824	+	0.0484762i	$0.984563\pi$
$90$	1.03592e17	−	3.52802e17i	0.267389	−	0.910643i
$91$		−	1.15493e17i		−	0.269889i
$92$	3.00127e17	−	1.84650e17i	0.635644	−	0.391073i
$93$	1.09272e17			0.209973
$94$	−2.22638e16	−	6.53723e15i	−0.0388551	−	0.0114089i
$95$	3.04122e17	−	3.50975e17i	0.482542	−	0.556883i
$96$	9.34520e16	+	6.00580e16i	0.134942	+	0.0867220i
$97$	6.48447e17	+	9.32327e16i	0.852961	+	0.122637i	0.554908	−	0.831912i	$-0.312754\pi$
$97$	6.48447e17	+	9.32327e16i	0.852961	+	0.122637i	0.298053	+	0.954549i	$0.403663\pi$
$98$	2.82632e17	−	1.81636e17i	0.338989	−	0.217855i
$99$	−1.53296e18	+	7.00079e17i	−1.67809	+	0.766356i
$100$	−1.33353e18	−	1.53897e18i	−1.33353	−	1.53897i
$101$	−9.18826e16	−	6.39057e17i	−0.0840119	−	0.584316i	−0.987728	−	0.156183i	$-0.950081\pi$
$101$	−9.18826e16	−	6.39057e17i	−0.0840119	−	0.584316i	0.903716	−	0.428132i	$-0.140828\pi$
$102$	−5.27942e16	−	2.41103e16i	−0.0441758	−	0.0201744i
$103$	−1.92451e17	−	6.55427e17i	−0.147497	−	0.502330i	0.852287	−	0.523074i	$-0.175215\pi$
$103$	−1.92451e17	−	6.55427e17i	−0.147497	−	0.502330i	−0.999785	+	0.0207438i	$0.993397\pi$
$104$	7.24973e17	−	2.12871e17i	0.509356	−	0.149561i
$105$	−8.64635e16	+	1.89329e17i	−0.0557352	+	0.122043i
$106$	−1.21410e18	+	1.74562e17i	−0.718626	+	0.103323i
$107$	3.86292e17	−	3.34724e17i	0.210117	−	0.182067i	−0.543444	−	0.839445i	$-0.682880\pi$
$107$	3.86292e17	−	3.34724e17i	0.210117	−	0.182067i	0.753561	+	0.657378i	$0.228335\pi$
$108$	1.90271e17	+	4.16635e17i	0.0951828	+	0.208421i
$109$	8.37120e17	+	1.30258e18i	0.385433	+	0.599746i	0.978709	−	0.205254i	$-0.0658019\pi$
$109$	8.37120e17	+	1.30258e18i	0.385433	+	0.599746i	−0.593276	+	0.804999i	$0.702166\pi$
$110$	6.16974e17	−	4.29115e18i	0.261657	−	1.81987i
$111$	3.11568e17	−	4.84809e17i	0.121799	−	0.189524i
$112$	2.84237e17	+	2.46292e17i	0.102499	+	0.0888155i
$113$	3.69934e17	−	1.25988e18i	0.123146	−	0.419395i	−0.874725	−	0.484619i	$-0.838958\pi$
$113$	3.69934e17	−	1.25988e18i	0.123146	−	0.419395i	0.997871	+	0.0652242i	$0.0207763\pi$
$114$		−	9.71203e16i		−	0.0298653i
$115$	−3.78405e18	+	5.64123e18i	−1.07566	+	1.60359i
$116$	2.84122e18			0.747106
$117$	2.32171e18	+	6.81717e17i	0.565114	+	0.165932i
$118$	8.34527e17	−	9.63096e17i	0.188149	−	0.217136i
$119$	−1.11711e18	−	7.17921e17i	−0.233438	−	0.150022i
$120$	−1.34782e18	−	1.93787e17i	−0.261216	−	0.0375572i
$121$	−1.20382e19	+	7.73649e18i	−2.16518	+	1.39148i
$122$	3.25949e18	−	1.48856e18i	0.544390	−	0.248615i
$123$	−4.57681e17	−	5.28192e17i	−0.0710259	−	0.0819682i
$124$	9.94783e17	+	6.91887e18i	0.143527	+	0.998251i
$125$	2.26209e19	+	1.03306e19i	3.03612	+	1.38655i
$126$	−4.95660e17	−	1.68806e18i	−0.0619226	−	0.210889i
$127$	5.95668e18	−	1.74904e18i	0.693060	−	0.203501i	0.0838134	−	0.996481i	$-0.473290\pi$
$127$	5.95668e18	−	1.74904e18i	0.693060	−	0.203501i	0.609247	+	0.792981i	$0.291472\pi$
$128$	−3.53728e18	+	7.74557e18i	−0.383513	+	0.839776i
$129$	−2.05645e18	+	2.95672e17i	−0.207879	+	0.0298884i
$130$	−4.70432e18	+	4.07631e18i	−0.443615	+	0.384395i
$131$	−4.68611e18	−	1.02611e19i	−0.412449	−	0.903138i	−0.995855	−	0.0909570i	$-0.971007\pi$
$131$	−4.68611e18	−	1.02611e19i	−0.412449	−	0.903138i	0.583406	−	0.812181i	$-0.301720\pi$
$132$	1.44197e18	+	2.24376e18i	0.118520	+	0.184421i
$133$	3.16233e17	−	2.19945e18i	0.0242852	−	0.168908i
$134$	−1.41493e18	+	2.20167e18i	−0.101576	+	0.158055i
$135$	−6.67280e18	−	5.78201e18i	−0.448027	−	0.388217i
$136$	2.44753e18	−	8.33551e18i	0.153772	−	0.523699i
$137$			1.54741e19i			0.910168i	0.890448	+	0.455084i	$0.150391\pi$
$137$			1.54741e19i			0.910168i	−0.890448	+	0.455084i	$0.849609\pi$
$138$	1.74501e17	+	1.40981e18i	0.00961362	+	0.0776692i
$139$	1.93097e19			0.996877			0.498439	−	0.866925i	$-0.333907\pi$
$139$	1.93097e19			0.996877			0.498439	+	0.866925i	$0.333907\pi$
$140$	−1.27750e19	−	3.75108e18i	−0.618314	−	0.181553i
$141$	−1.80210e17	+	2.07973e17i	−0.00818099	+	0.00944136i
$142$	4.42458e18	+	2.84351e18i	0.188485	+	0.121132i
$143$	2.82392e19	+	4.06018e18i	1.12935	+	0.162376i
$144$	−6.62886e18	+	4.26011e18i	−0.248987	+	0.160014i
$145$	−4.98207e19	+	2.27524e19i	−1.75832	+	0.802998i
$146$	−6.05176e17	−	6.98410e17i	−0.0200773	−	0.0231705i
$147$	−5.67043e17	−	3.94387e18i	−0.0176913	−	0.123046i
$148$	3.35334e19	+	1.53142e19i	0.984288	+	0.449509i
$149$	2.25199e18	+	7.66958e18i	0.0622143	+	0.211883i	0.984734	−	0.174069i	$-0.0556915\pi$
$149$	2.25199e18	+	7.66958e18i	0.0622143	+	0.211883i	−0.922519	+	0.385951i	$0.873873\pi$
$150$	7.87673e18	−	2.31282e18i	0.204892	−	0.0601617i
$151$	−1.51556e19	+	3.31861e19i	−0.371347	+	0.813137i	0.628042	+	0.778180i	$0.283857\pi$
$151$	−1.51556e19	+	3.31861e19i	−0.371347	+	0.813137i	−0.999389	+	0.0349572i	$0.988871\pi$
$152$	1.43892e19	−	2.06886e18i	0.332234	−	0.0477681i
$153$	2.10259e19	−	1.82191e19i	0.457649	−	0.396555i
$154$	−8.61703e18	−	1.88687e19i	−0.176877	−	0.387306i
$155$	−7.28495e19	−	1.13356e20i	−1.41072	−	2.19513i
$156$	5.45005e17	−	3.79059e18i	0.00996046	−	0.0692765i
$157$	−6.87155e18	+	1.06923e19i	−0.118565	+	0.184491i	−0.895463	−	0.445135i	$-0.853156\pi$
$157$	−6.87155e18	+	1.06923e19i	−0.118565	+	0.184491i	0.776898	+	0.629626i	$0.216792\pi$
$158$	−4.08330e19	−	3.53820e19i	−0.665423	−	0.576592i
$159$	−4.09834e18	+	1.39577e19i	−0.0631006	+	0.214901i
$160$		−	1.36984e20i		−	1.99338i
$161$	−6.38606e17	+	3.24957e19i	−0.00878618	+	0.447088i
$162$	3.59256e19			0.467487
$163$	7.28928e19	+	2.14033e19i	0.897421	+	0.263507i	0.697737	−	0.716354i	$-0.254190\pi$
$163$	7.28928e19	+	2.14033e19i	0.897421	+	0.263507i	0.199684	+	0.979860i	$0.436009\pi$
$164$	2.92773e19	−	3.37878e19i	0.341143	−	0.393700i
$165$	−4.32529e19	−	2.77970e19i	−0.477155	−	0.306649i
$166$	−4.00151e19	−	5.75331e18i	−0.418072	−	0.0601097i
$167$	−6.98290e19	+	4.48764e19i	−0.691174	+	0.444191i	−0.838503	−	0.544897i	$-0.816569\pi$
$167$	−6.98290e19	+	4.48764e19i	−0.691174	+	0.444191i	0.147329	+	0.989088i	$0.452932\pi$
$168$	−5.92650e18	+	2.70654e18i	−0.0555923	+	0.0253881i
$169$	4.68173e19	+	5.40300e19i	0.416318	+	0.480457i
$170$	1.01854e19	+	7.08412e19i	0.0858893	+	0.597373i
$171$	4.23480e19	+	1.93397e19i	0.338741	+	0.154698i
$172$	−3.74426e19	−	1.27518e20i	−0.284191	−	0.967865i
$173$	2.13410e19	−	6.26629e18i	0.153745	−	0.0451436i	−0.203954	−	0.978980i	$-0.565379\pi$
$173$	2.13410e19	−	6.26629e18i	0.153745	−	0.0451436i	0.357699	+	0.933837i	$0.383561\pi$
$174$	−4.75815e18	+	1.04189e19i	−0.0325458	+	0.0712653i
$175$	1.85912e20	−	2.67302e19i	1.20772	−	0.173644i
$176$	−7.02130e19	+	6.08399e19i	−0.433315	+	0.375469i
$177$	−6.27835e18	−	1.37477e19i	−0.0368202	−	0.0806250i
$178$	7.06442e19	+	1.09925e20i	0.393819	+	0.612794i
$179$	−8.68965e18	+	6.04378e19i	−0.0460601	+	0.320355i	0.953745	+	0.300617i	$0.0971924\pi$
$179$	−8.68965e18	+	6.04378e19i	−0.0460601	+	0.320355i	−0.999805	+	0.0197384i	$0.993717\pi$
$180$	1.50813e20	−	2.34669e20i	0.760301	−	1.18305i
$181$	−6.81686e19	−	5.90684e19i	−0.326947	−	0.283301i	0.475884	−	0.879508i	$-0.342128\pi$
$181$	−6.81686e19	−	5.90684e19i	−0.326947	−	0.283301i	−0.802831	+	0.596207i	$0.796674\pi$
$182$	−8.39101e18	+	2.85772e19i	−0.0382976	+	0.130430i
$183$		−	4.24967e19i		−	0.184627i
$184$	−2.05158e20	+	5.58856e19i	−0.848650	+	0.231174i
$185$	−7.10644e20			−2.79967
$186$	−2.70378e19	−	7.93901e18i	−0.101474	−	0.0297954i
$187$	2.14810e20	−	2.47904e20i	0.768210	−	0.886561i
$188$	−1.48090e19	−	9.51714e18i	−0.0504782	−	0.0324404i
$189$	−4.18163e19	−	6.01227e18i	−0.135891	−	0.0195381i
$190$	−1.00750e20	+	6.47481e19i	−0.312222	+	0.200653i
$191$	3.90695e20	−	1.78425e20i	1.15488	−	0.527417i	0.256463	−	0.966554i	$-0.417443\pi$
$191$	3.90695e20	−	1.78425e20i	1.15488	−	0.527417i	0.898420	+	0.439137i	$0.144716\pi$
$192$	−7.81722e18	−	9.02156e18i	−0.0220466	−	0.0254431i
$193$	−2.45849e18	−	1.70991e19i	−0.00661686	−	0.0460213i	0.986246	−	0.165287i	$-0.0528550\pi$
$193$	−2.45849e18	−	1.70991e19i	−0.00661686	−	0.0460213i	−0.992862	+	0.119266i	$0.961946\pi$
$194$	−1.53675e20	−	7.01811e19i	−0.394810	−	0.180304i
$195$	2.07983e19	+	7.08324e19i	0.0510171	+	0.173748i
$196$	2.44555e20	−	7.18078e19i	0.572890	−	0.168216i
$197$	−1.23489e20	+	2.70404e20i	−0.276333	+	0.605085i	−0.996012	−	0.0892224i	$-0.971562\pi$
$197$	−1.23489e20	+	2.70404e20i	−0.276333	+	0.605085i	0.719679	+	0.694307i	$0.244289\pi$
$198$	4.30172e20	−	6.18493e19i	0.919719	−	0.132236i
$199$	1.61391e20	−	1.39846e20i	0.329762	−	0.285741i	−0.474205	−	0.880415i	$-0.657264\pi$
$199$	1.61391e20	−	1.39846e20i	0.329762	−	0.285741i	0.803967	+	0.594674i	$0.202719\pi$
$200$	5.10454e20	+	1.11774e21i	0.996980	+	2.18308i
$201$	1.67805e19	+	2.61110e19i	0.0313358	+	0.0487595i
$202$	−2.36948e19	+	1.64801e20i	−0.0423146	+	0.294305i
$203$	−1.41681e20	+	2.20460e20i	−0.242018	+	0.376587i
$204$	−3.32766e19	−	2.88343e19i	−0.0543835	−	0.0471236i
$205$	−2.42806e20	+	8.26921e20i	−0.379730	+	1.29324i
$206$			1.76158e20i			0.263692i
$207$	−6.49477e20	−	2.04648e20i	−0.930745	−	0.293275i
$208$	1.33396e20			0.183051
$209$	5.26667e20	+	1.54644e20i	0.692181	+	0.203243i
$210$	3.51495e19	−	4.05647e19i	0.0442533	−	0.0510711i
$211$	5.53076e20	+	3.55441e20i	0.667180	+	0.428771i	0.829908	−	0.557900i	$-0.188393\pi$
$211$	5.53076e20	+	3.55441e20i	0.667180	+	0.428771i	−0.162728	+	0.986671i	$0.552029\pi$
$212$	−9.21078e20	−	1.32431e20i	−1.06481	−	0.153097i
$213$	5.24740e19	−	3.37230e19i	0.0581471	−	0.0373689i
$214$	−1.19901e20	+	5.47570e19i	−0.127379	+	0.0581722i
$215$	1.67771e21	+	1.93619e21i	1.70912	+	1.97243i
$216$	−3.93334e19	−	2.73570e20i	−0.0384307	−	0.267291i
$217$	−5.86465e20	−	2.67830e20i	−0.549673	−	0.251027i
$218$	−1.12496e20	−	3.83125e20i	−0.101164	−	0.344534i
$219$	−1.05159e19	+	3.08775e18i	−0.00907505	+	0.00266468i
$220$	1.36628e21	−	2.99173e21i	1.13171	−	2.47810i
$221$	−4.66191e20	+	6.70282e19i	−0.370709	+	0.0533000i
$222$	−1.12316e20	+	9.73223e19i	−0.0857560	+	0.0743080i
$223$	−3.48616e20	−	7.63363e20i	−0.255625	−	0.559741i	0.737695	−	0.675135i	$-0.235914\pi$
$223$	−3.48616e20	−	7.63363e20i	−0.255625	−	0.559741i	−0.993320	+	0.115393i	$0.963187\pi$
$224$	−3.54354e20	−	5.51386e20i	−0.249578	−	0.388350i
$225$	−5.60030e20	+	3.89510e21i	−0.378939	+	2.63558i
$226$	−1.83070e20	+	2.84862e20i	−0.119026	+	0.185208i
$227$	−1.90488e21	−	1.65059e21i	−1.19024	−	1.03135i	−0.998757	−	0.0498532i	$-0.984125\pi$
$227$	−1.90488e21	−	1.65059e21i	−1.19024	−	1.03135i	−0.191484	−	0.981496i	$-0.561330\pi$
$228$	2.07581e19	−	7.06956e19i	0.0124673	−	0.0424599i
$229$			1.94388e21i			1.12241i	0.827678	+	0.561203i	$0.189661\pi$
$229$			1.94388e21i			1.12241i	−0.827678	+	0.561203i	$0.810339\pi$
$230$	1.34616e21	−	1.12092e21i	0.747390	−	0.622332i
$231$	−2.46007e20			−0.131353
$232$	−1.64501e21	−	4.83017e20i	−0.844842	−	0.248068i
$233$	1.35613e21	−	1.56506e21i	0.670036	−	0.773262i	−0.314346	−	0.949308i	$-0.601785\pi$
$233$	1.35613e21	−	1.56506e21i	0.670036	−	0.773262i	0.984382	+	0.176046i	$0.0563308\pi$
$234$	−5.24945e20	−	3.37362e20i	−0.249558	−	0.160381i
$235$	3.35888e20	+	4.82934e19i	0.153668	+	0.0220941i
$236$	8.13315e20	−	5.22686e20i	0.358138	−	0.230162i
$237$	−5.82870e20	+	2.66188e20i	−0.247079	+	0.112837i
$238$	2.24252e20	+	2.58801e20i	0.0915259	+	0.105626i
$239$	−3.61425e20	−	2.51377e21i	−0.142049	−	0.987971i	−0.928768	−	0.370661i	$-0.879131\pi$
$239$	−3.61425e20	−	2.51377e21i	−0.142049	−	0.987971i	0.786720	−	0.617310i	$-0.211778\pi$
$240$	−2.18676e20	−	9.98659e19i	−0.0827751	−	0.0378021i
$241$	1.02371e21	+	3.48642e21i	0.373269	+	1.27124i	0.905394	+	0.424571i	$0.139575\pi$
$241$	1.02371e21	+	3.48642e21i	0.373269	+	1.27124i	−0.532126	+	0.846665i	$0.678607\pi$
$242$	3.54076e21	−	1.03966e21i	1.24382	−	0.365220i
$243$	5.53780e20	−	1.21261e21i	0.187448	−	0.410454i
$244$	2.69079e21	−	3.86878e20i	0.877753	−	0.126202i
$245$	−3.71323e21	+	3.21753e21i	−1.16750	+	1.01165i
$246$	7.48714e19	+	1.63945e20i	0.0226934	+	0.0496916i
$247$	−4.26094e20	−	6.63015e20i	−0.124518	−	0.193754i
$248$	6.00274e20	−	4.17500e21i	0.169155	−	1.17650i
$249$	−2.59208e20	+	4.03335e20i	−0.0704456	+	0.109616i
$250$	−4.84665e21	−	4.19964e21i	−1.27052	−	1.10091i
$251$	1.53591e21	−	5.23084e21i	0.388421	−	1.32284i	−0.500879	−	0.865518i	$-0.666990\pi$
$251$	1.53591e21	−	5.23084e21i	0.388421	−	1.32284i	0.889300	−	0.457324i	$-0.151192\pi$
$252$		−	1.33471e21i		−	0.325674i
$253$	−7.92303e21	−	1.29853e21i	−1.86555	−	0.305751i
$254$	−1.60097e21			−0.363814
$255$	8.14409e20	+	2.39132e20i	0.178641	+	0.0524537i
$256$	2.10803e21	−	2.43280e21i	0.446393	−	0.515165i
$257$	−1.22920e20	−	7.89956e19i	−0.0251318	−	0.0161512i	0.528015	−	0.849235i	$-0.322937\pi$
$257$	−1.22920e20	−	7.89956e19i	−0.0251318	−	0.0161512i	−0.553146	+	0.833084i	$0.686573\pi$
$258$	5.30319e20	+	7.62484e19i	0.104703	+	0.0150540i
$259$	−2.86047e21	+	1.83831e21i	−0.545431	+	0.350527i
$260$	−4.29561e21	+	1.96174e21i	−0.791161	+	0.361311i
$261$	−3.59552e21	−	4.14945e21i	−0.639730	−	0.738288i
$262$	4.14000e20	+	2.87943e21i	0.0711686	+	0.494989i
$263$	−1.51774e21	−	6.93130e20i	−0.252114	−	0.115136i	0.285350	−	0.958423i	$-0.407890\pi$
$263$	−1.51774e21	−	6.93130e20i	−0.252114	−	0.115136i	−0.537464	+	0.843287i	$0.680617\pi$
$264$	−4.53427e20	−	1.54423e21i	−0.0727900	−	0.247900i
$265$	1.72116e22	−	5.05378e21i	2.67060	−	0.784158i
$266$	−2.38045e20	+	5.21246e20i	−0.0357046	+	0.0781822i
$267$	1.53390e21	−	2.20541e20i	0.222431	−	0.0319807i
$268$	−1.50052e21	+	1.30021e21i	−0.210392	+	0.182306i
$269$	3.24230e21	+	7.09965e21i	0.439626	+	0.962646i	0.991667	+	0.128829i	$0.0411218\pi$
$269$	3.24230e21	+	7.09965e21i	0.439626	+	0.962646i	−0.552041	+	0.833817i	$0.686151\pi$
$270$	1.23100e21	+	1.91548e21i	0.161430	+	0.251190i
$271$	−1.93307e20	+	1.34448e21i	−0.0245202	+	0.170541i	−0.998402	−	0.0565151i	$-0.982001\pi$
$271$	−1.93307e20	+	1.34448e21i	−0.0245202	+	0.170541i	0.973882	+	0.227056i	$0.0729102\pi$
$272$	8.29203e20	−	1.29026e21i	0.101751	−	0.158328i
$273$	2.66948e20	+	2.31312e20i	0.0316930	+	0.0274621i
$274$	1.12425e21	−	3.82885e21i	0.129154	−	0.439859i
$275$			4.63969e22i			5.15816i
$276$	−1.74304e20	+	1.06352e21i	−0.0187554	+	0.114437i
$277$	1.28768e22			1.34119			0.670595	−	0.741824i	$-0.266039\pi$
$277$	1.28768e22			1.34119			0.670595	+	0.741824i	$0.266039\pi$
$278$	−4.77789e21	−	1.40292e21i	−0.481763	−	0.141458i
$279$	8.84576e21	−	1.02086e22i	0.863570	−	0.996613i
$280$	6.75877e21	+	4.34360e21i	0.638918	+	0.410608i
$281$	−1.45253e22	−	2.08842e21i	−1.32975	−	0.191188i	−0.559444	−	0.828868i	$-0.688985\pi$
$281$	−1.45253e22	−	2.08842e21i	−1.32975	−	0.191188i	−0.770301	+	0.637680i	$0.779894\pi$
$282$	5.97002e19	−	3.83670e19i	0.00529339	−	0.00340185i
$283$	−1.62797e22	+	7.43468e21i	−1.39820	+	0.638535i	−0.964876	−	0.262706i	$-0.915385\pi$
$283$	−1.62797e22	+	7.43468e21i	−1.39820	+	0.638535i	−0.433320	+	0.901240i	$0.642658\pi$
$284$	2.61297e21	+	3.01553e21i	0.217405	+	0.250899i
$285$	2.02134e20	+	1.40588e21i	0.0162943	+	0.113330i
$286$	−6.69238e21	−	3.05631e21i	−0.522741	−	0.238728i
$287$	1.16176e21	+	3.95660e21i	0.0879388	+	0.299492i
$288$	1.31759e22	−	3.86879e21i	0.966603	−	0.283820i
$289$	3.59244e21	−	7.86636e21i	0.255452	−	0.559362i
$290$	1.39804e22	−	2.01008e21i	0.963694	−	0.138558i
$291$	−1.51422e21	+	1.31207e21i	−0.101193	+	0.0876843i
$292$	−2.91243e20	−	6.37733e20i	−0.0188716	−	0.0413231i
$293$	−1.07218e22	−	1.66834e22i	−0.673687	−	1.04828i	−0.994860	−	0.101256i	$-0.967714\pi$
$293$	−1.07218e22	−	1.66834e22i	−0.673687	−	1.04828i	0.321174	−	0.947020i	$-0.395923\pi$
$294$	−1.46230e20	+	1.01705e21i	−0.00891066	+	0.0619750i
$295$	−1.00758e22	+	1.56783e22i	−0.595501	+	0.926618i
$296$	−1.68117e22	−	1.45674e22i	−0.963798	−	0.835135i
$297$	2.94011e21	−	1.00131e22i	0.163514	−	0.556878i
$298$		−	2.06134e21i		−	0.111225i
$299$	7.37651e21	+	8.85883e21i	0.386198	+	0.463805i
$300$	6.22795e21			0.316412
$301$	1.17617e22	+	3.45354e21i	0.579924	+	0.170281i
$302$	6.16112e21	−	7.11031e21i	0.294847	−	0.340272i
$303$	1.66112e21	+	1.06754e21i	0.0771646	+	0.0495907i
$304$	2.54038e21	+	3.65251e20i	0.114561	+	0.0164714i
$305$	−4.40850e22	+	2.83317e22i	−1.93015	+	1.24043i
$306$	−6.52624e21	+	2.98043e21i	−0.277441	+	0.126703i
$307$	1.03945e22	+	1.19959e22i	0.429099	+	0.495206i	0.928587	−	0.371114i	$-0.121024\pi$
$307$	1.03945e22	+	1.19959e22i	0.429099	+	0.495206i	−0.499488	+	0.866321i	$0.666479\pi$
$308$	−2.23958e21	−	1.55766e22i	−0.0897862	−	0.624476i
$309$	1.90038e21	+	8.67873e20i	0.0739969	+	0.0337932i
$310$	9.78983e21	+	3.33411e22i	0.370271	+	1.26103i
$311$	−2.15954e21	+	6.34099e20i	−0.0793448	+	0.0232977i	−0.321164	−	0.947024i	$-0.604074\pi$
$311$	−2.15954e21	+	6.34099e20i	−0.0793448	+	0.0232977i	0.241819	+	0.970321i	$0.422256\pi$
$312$	−9.59962e20	+	2.10202e21i	−0.0342659	+	0.0750319i
$313$	5.06592e22	−	7.28369e21i	1.75695	−	0.252611i	0.812897	−	0.582408i	$-0.197889\pi$
$313$	5.06592e22	−	7.28369e21i	1.75695	−	0.252611i	0.944052	+	0.329797i	$0.106980\pi$
$314$	2.47710e21	−	2.14642e21i	0.0834789	−	0.0723349i
$315$	1.06883e22	+	2.34042e22i	0.350038	+	0.766476i
$316$	−2.21607e22	−	3.44827e22i	−0.705341	−	1.09753i
$317$	−1.78158e21	+	1.23912e22i	−0.0551153	+	0.383335i	0.943529	+	0.331289i	$0.107483\pi$
$317$	−1.78158e21	+	1.23912e22i	−0.0551153	+	0.383335i	−0.998645	+	0.0520463i	$0.983426\pi$
$318$	2.02815e21	−	3.15586e21i	0.0609895	−	0.0949016i
$319$	−4.89236e22	−	4.23925e22i	−1.43022	−	1.23929i
$320$	−4.14714e21	+	1.41239e22i	−0.117869	+	0.401425i
$321$			1.56325e21i			0.0432000i
$322$	2.51894e21	−	7.99418e21i	0.0676885	−	0.214818i
$323$	−9.06164e21			−0.236801
$324$	2.61509e22	+	7.67860e21i	0.664632	+	0.195154i
$325$	4.36255e22	−	5.03465e22i	1.07842	−	1.24457i
$326$	−1.64812e22	−	1.05918e22i	−0.396307	−	0.254691i
$327$	−4.68735e21	−	6.73939e20i	−0.109647	−	0.0157649i
$328$	−2.26950e22	+	1.45852e22i	−0.516495	+	0.331931i
$329$	1.47694e21	−	6.74494e20i	0.0327038	−	0.0149353i
$330$	8.68275e21	+	1.00204e22i	0.187082	+	0.215904i
$331$	−3.19207e21	−	2.22013e22i	−0.0669299	−	0.465508i	−0.995532	−	0.0944295i	$-0.969897\pi$
$331$	−3.19207e21	−	2.22013e22i	−0.0669299	−	0.465508i	0.928602	−	0.371078i	$-0.121012\pi$
$332$	−2.78980e22	−	1.27406e22i	−0.569287	−	0.259984i
$333$	−2.00705e22	−	6.83537e22i	−0.398620	−	1.35758i
$334$	2.05386e22	−	6.03067e21i	0.397057	−	0.116586i
$335$	1.58996e22	−	3.48154e22i	0.299216	−	0.655191i
$336$	−1.13855e21	+	1.63698e20i	−0.0208592	+	0.00299910i
$337$	−5.24804e22	+	4.54746e22i	−0.936113	+	0.811147i	−0.982209	−	0.187790i	$-0.939867\pi$
$337$	−5.24804e22	+	4.54746e22i	−0.936113	+	0.811147i	0.0460961	+	0.998937i	$0.485322\pi$
$338$	−7.65877e21	−	1.67704e22i	−0.133018	−	0.291268i
$339$	2.17114e21	+	3.37836e21i	0.0367190	+	0.0571359i
$340$	−7.72716e21	+	5.37435e22i	−0.127265	+	0.885148i
$341$	8.61040e22	−	1.33980e23i	1.38113	−	2.14908i
$342$	−9.07328e21	−	7.86205e21i	−0.141752	−	0.122829i
$343$	−1.49019e22	+	5.07512e22i	−0.226775	+	0.772324i
$344$			8.01956e22i			1.18884i
$345$	−5.46023e21	−	2.00447e22i	−0.0788567	−	0.289486i
$346$	−5.73579e21			−0.0807065
$347$	−3.00874e22	−	8.83446e21i	−0.412496	−	0.121120i	0.0688990	−	0.997624i	$-0.478051\pi$
$347$	−3.00874e22	−	8.83446e21i	−0.412496	−	0.121120i	−0.481395	+	0.876504i	$0.659870\pi$
$348$	−5.69043e21	+	6.56711e21i	−0.0760207	+	0.0877326i
$349$	−3.96959e22	−	2.55110e22i	−0.516793	−	0.332122i	0.256109	−	0.966648i	$-0.417559\pi$
$349$	−3.96959e22	−	2.55110e22i	−0.516793	−	0.332122i	−0.772902	+	0.634525i	$0.781196\pi$
$350$	−4.79433e22	−	6.89321e21i	−0.608297	−	0.0874599i
$351$	−1.26054e22	+	8.10097e21i	−0.155880	+	0.100178i
$352$	1.47276e23	−	6.72587e22i	1.77520	−	0.810709i
$353$	1.91357e22	+	2.20838e22i	0.224840	+	0.259479i	0.856950	−	0.515400i	$-0.172357\pi$
$353$	1.91357e22	+	2.20838e22i	0.224840	+	0.259479i	−0.632110	+	0.774878i	$0.717811\pi$
$354$	5.54668e20	+	3.85780e21i	0.00635337	+	0.0441887i
$355$	−6.99668e22	−	3.19527e22i	−0.781334	−	0.356823i
$356$	2.79284e22	+	9.51152e22i	0.304085	+	1.03562i
$357$	3.89674e21	−	1.14419e21i	0.0413702	−	0.0121474i
$358$	6.54115e21	−	1.43231e22i	0.0677184	−	0.148283i
$359$	1.17285e23	−	1.68630e22i	1.18411	−	0.170249i	0.478005	−	0.878357i	$-0.341360\pi$
$359$	1.17285e23	−	1.68630e22i	1.18411	−	0.170249i	0.706104	+	0.708108i	$0.250451\pi$
$360$	−1.27212e23	+	1.10230e23i	−1.25258	+	1.08537i
$361$	3.69570e22	+	8.09245e22i	0.354921	+	0.777168i
$362$	1.25758e22	+	1.95683e22i	0.117803	+	0.183306i
$363$	6.22841e21	−	4.33196e22i	0.0569138	−	0.395844i
$364$	−1.22159e22	+	1.90084e22i	−0.108897	+	0.169446i
$365$	1.02139e22	+	8.85038e21i	0.0888291	+	0.0769708i
$366$	−3.08754e21	+	1.05152e22i	−0.0261989	+	0.0892251i
$367$		−	2.29576e23i		−	1.90078i	−0.311055	−	0.950392i	$-0.600682\pi$
$367$		−	2.29576e23i		−	1.90078i	0.311055	−	0.950392i	$-0.399318\pi$
$368$	−3.75327e22	−	7.37594e20i	−0.303235	−	0.00595919i
$369$	−8.63954e22			−0.681166
$370$	1.75838e23	+	5.16308e22i	1.35300	+	0.397277i
$371$	5.62065e22	−	6.48658e22i	0.422106	−	0.487136i
$372$	−1.79844e22	−	1.15579e22i	−0.131829	−	0.0847212i
$373$	−3.30338e22	−	4.74954e21i	−0.236363	−	0.0339838i	0.0231155	−	0.999733i	$-0.492641\pi$
$373$	−3.30338e22	−	4.74954e21i	−0.236363	−	0.0339838i	−0.259478	+	0.965749i	$0.583551\pi$
$374$	−7.11626e22	+	4.57335e22i	−0.497059	+	0.319440i
$375$	−6.91832e22	+	3.15949e22i	−0.471758	+	0.215445i
$376$	6.95613e21	+	8.02780e21i	0.0463102	+	0.0534449i
$377$	1.32280e22	+	9.20024e22i	0.0859846	+	0.598036i
$378$	9.91001e21	+	4.52575e21i	0.0628996	+	0.0287253i
$379$	−1.87059e22	−	6.37065e22i	−0.115938	−	0.394849i	0.880993	−	0.473129i	$-0.156875\pi$
$379$	−1.87059e22	−	6.37065e22i	−0.115938	−	0.394849i	−0.996931	+	0.0782798i	$0.975057\pi$
$380$	−8.71767e22	+	2.55974e22i	−0.527653	+	0.154933i
$381$	−7.88745e21	+	1.72711e22i	−0.0466243	+	0.102093i
$382$	−1.09635e23	+	1.57631e22i	−0.632964	+	0.0910065i
$383$	1.18517e23	−	1.02696e23i	0.668334	−	0.579115i	−0.253199	−	0.967414i	$-0.581483\pi$
$383$	1.18517e23	−	1.02696e23i	0.668334	−	0.579115i	0.921533	+	0.388300i	$0.126937\pi$
$384$	−1.08184e22	−	2.36889e22i	−0.0595910	−	0.130486i
$385$	1.64008e23	+	2.55201e23i	0.882506	+	1.37321i
$386$	−6.33997e20	+	4.40955e21i	−0.00333274	+	0.0231797i
$387$	−1.38850e23	+	2.16055e23i	−0.713095	+	1.10960i
$388$	−9.68626e22	−	8.39319e22i	−0.486039	−	0.421155i
$389$	−6.61950e22	+	2.25439e23i	−0.324548	+	1.10531i	0.622073	+	0.782959i	$0.286291\pi$
$389$	−6.61950e22	+	2.25439e23i	−0.324548	+	1.10531i	−0.946621	+	0.322349i	$0.895528\pi$
$390$		−	1.90375e22i		−	0.0912071i
$391$	1.31540e23	−	1.62816e22i	0.615839	−	0.0762264i
$392$	−1.53800e23			−0.703689
$393$	3.31027e22	+	9.71983e21i	0.148023	+	0.0434636i
$394$	5.02014e22	−	5.79355e22i	0.219406	−	0.253209i
$395$	6.64724e23	+	4.27192e23i	2.83967	+	1.82494i
$396$	3.26349e23	+	4.69219e22i	1.36278	+	0.195938i
$397$	1.88136e23	−	1.20908e23i	0.767993	−	0.493559i	−0.0970364	−	0.995281i	$-0.530936\pi$
$397$	1.88136e23	−	1.20908e23i	0.767993	−	0.493559i	0.865029	+	0.501722i	$0.167300\pi$
$398$	−5.00941e22	+	2.28772e22i	−0.199912	+	0.0912967i
$399$	4.45039e21	+	5.13602e21i	0.0173637	+	0.0200387i
$400$	3.08735e22	+	2.14730e23i	0.117773	+	0.819130i
$401$	−1.17485e23	−	5.36536e22i	−0.438211	−	0.200124i	0.184078	−	0.982912i	$-0.441070\pi$
$401$	−1.17485e23	−	5.36536e22i	−0.438211	−	0.200124i	−0.622289	+	0.782787i	$0.713797\pi$
$402$	−2.25504e21	−	7.67995e21i	−0.00822468	−	0.0280107i
$403$	−2.19411e23	+	6.44248e22i	−0.782551	+	0.229778i
$404$	−5.24717e22	+	1.14897e23i	−0.183018	+	0.400753i
$405$	−5.20046e23	+	7.47713e22i	−1.77397	+	0.255058i
$406$	5.10741e22	−	4.42559e22i	0.170399	−	0.147651i
$407$	−3.48924e23	−	7.64036e23i	−1.13862	−	2.49324i
$408$	1.43645e22	+	2.23516e22i	0.0458511	+	0.0713457i
$409$	1.05361e22	−	7.32802e22i	0.0328981	−	0.228811i	−0.966739	−	0.255767i	$-0.917672\pi$
$409$	1.05361e22	−	7.32802e22i	0.0328981	−	0.228811i	0.999637	+	0.0269555i	$0.00858125\pi$
$410$	1.20157e23	−	1.86969e23i	0.367025	−	0.571103i
$411$	−3.57665e22	−	3.09918e22i	−0.106881	−	0.0926128i
$412$	−3.76513e22	+	1.28228e23i	−0.110079	+	0.374895i
$413$			8.91724e22i			0.255082i
$414$	1.45835e23	+	9.78240e22i	0.408187	+	0.273806i
$415$	5.91218e23			1.61925
$416$	−2.23054e23	−	6.54946e22i	−0.597820	−	0.175536i
$417$	−3.86737e22	+	4.46318e22i	−0.101436	+	0.117063i
$418$	−1.19081e23	−	7.65285e22i	−0.305672	−	0.196443i
$419$	3.58434e22	+	5.15350e21i	0.0900498	+	0.0129472i	0.187192	−	0.982323i	$-0.440061\pi$
$419$	3.58434e22	+	5.15350e21i	0.0900498	+	0.0129472i	−0.0971426	+	0.995270i	$0.530970\pi$
$420$	3.42561e22	−	2.20151e22i	0.0842354	−	0.0541348i
$421$	−5.68780e22	+	2.59753e22i	−0.136901	+	0.0625204i	−0.482687	−	0.875793i	$-0.660339\pi$
$421$	−5.68780e22	+	2.59753e22i	−0.136901	+	0.0625204i	0.345787	+	0.938313i	$0.387612\pi$
$422$	−1.11027e23	−	1.28132e23i	−0.261586	−	0.301887i
$423$	4.84123e21	+	3.36715e22i	0.0111659	+	0.0776603i
$424$	5.10771e23	+	2.33261e23i	1.15328	+	0.526684i
$425$	−2.15794e23	−	7.34925e23i	−0.477022	−	1.62459i
$426$	−1.54340e22	+	4.53184e21i	−0.0334036	+	0.00980817i
$427$	−1.04161e23	+	2.28080e23i	−0.220726	+	0.483323i
$428$	−9.89816e22	+	1.42314e22i	−0.205381	+	0.0295294i
$429$	−6.59424e22	+	5.71394e22i	−0.133983	+	0.116097i
$430$	−2.74455e23	−	6.00972e23i	−0.546078	−	1.19574i
$431$	−1.25455e23	−	1.95212e23i	−0.244452	−	0.380375i	0.697247	−	0.716831i	$-0.254408\pi$
$431$	−1.25455e23	−	1.95212e23i	−0.244452	−	0.380375i	−0.941699	+	0.336456i	$0.890772\pi$
$432$	6.94421e21	−	4.82981e22i	0.0132516	−	0.0921671i
$433$	1.92006e23	−	2.98767e23i	0.358858	−	0.558395i	−0.614143	−	0.789195i	$-0.710498\pi$
$433$	1.92006e23	−	2.98767e23i	0.358858	−	0.558395i	0.973001	+	0.230800i	$0.0741344\pi$
$434$	1.25653e23	+	1.08879e23i	0.230021	+	0.199314i
$435$	4.71925e22	−	1.60723e23i	0.0846194	−	0.288187i
$436$		−	3.02928e23i		−	0.532060i
$437$	1.16221e23	+	1.88905e23i	0.199965	+	0.325020i
$438$	2.82634e21			0.00476384
$439$	1.63337e23	+	4.79602e22i	0.269715	+	0.0791954i	0.413793	−	0.910371i	$-0.364204\pi$
$439$	1.63337e23	+	4.79602e22i	0.269715	+	0.0791954i	−0.144078	+	0.989566i	$0.546022\pi$
$440$	−1.29965e24	+	1.49988e24i	−2.10258	+	2.42651i
$441$	−4.14352e23	−	2.66288e23i	−0.656783	−	0.422089i
$442$	1.20222e23	+	1.72853e22i	0.186717	+	0.0268458i
$443$	9.67347e23	−	6.21676e23i	1.47214	−	0.946086i	0.474301	−	0.880363i	$-0.342701\pi$
$443$	9.67347e23	−	6.21676e23i	1.47214	−	0.946086i	0.997838	−	0.0657234i	$-0.0209355\pi$
$444$	−1.02558e23	+	4.68367e22i	−0.152941	+	0.0698456i
$445$	−1.25140e24	−	1.44420e24i	−1.82876	−	2.11050i
$446$	3.07989e22	+	2.14211e23i	0.0441085	+	0.306781i
$447$	−2.22376e22	−	1.01556e22i	−0.0312119	−	0.0142540i
$448$	1.98430e22	+	6.75791e22i	0.0272964	+	0.0929630i
$449$	7.68132e23	−	2.25544e23i	1.03566	−	0.304098i	0.280652	−	0.959810i	$-0.409449\pi$
$449$	7.68132e23	−	2.25544e23i	1.03566	−	0.304098i	0.755012	+	0.655711i	$0.227631\pi$
$450$	4.21564e23	−	9.23096e23i	0.557122	−	1.21993i
$451$	−1.00827e24	+	1.44967e23i	−1.30613	+	0.187793i
$452$	−1.94145e23	+	1.68228e23i	−0.246536	+	0.213625i
$453$	−4.63516e22	−	1.01496e23i	−0.0577006	−	0.126347i
$454$	3.51413e23	+	5.46810e23i	0.428860	+	0.667319i
$455$	6.19880e22	−	4.31136e23i	0.0741660	−	0.515836i
$456$	−2.40370e22	+	3.74023e22i	−0.0281966	+	0.0438748i
$457$	1.07825e24	+	9.34308e23i	1.24015	+	1.07459i	0.994446	+	0.105248i	$0.0335637\pi$
$457$	1.07825e24	+	9.34308e23i	1.24015	+	1.07459i	0.245701	+	0.969346i	$0.420982\pi$
$458$	1.41230e23	−	4.80984e23i	0.159271	−	0.542427i
$459$			1.72281e23i			0.190513i
$460$	1.21948e24	−	5.28210e23i	1.32237	−	0.572778i
$461$	−9.52545e23			−1.01292			−0.506462	−	0.862262i	$-0.669047\pi$
$461$	−9.52545e23			−1.01292			−0.506462	+	0.862262i	$0.669047\pi$
$462$	6.08708e22	+	1.78733e22i	0.0634791	+	0.0186392i
$463$	2.01794e23	−	2.32883e23i	0.206386	−	0.238182i	−0.643114	−	0.765770i	$-0.722358\pi$
$463$	2.01794e23	−	2.32883e23i	0.206386	−	0.238182i	0.849500	+	0.527588i	$0.176903\pi$
$464$	−2.54633e23	−	1.63642e23i	−0.255418	−	0.164147i
$465$	4.07912e23	+	5.86489e22i	0.401319	+	0.0577010i
$466$	−4.49261e23	+	2.88723e23i	−0.433537	+	0.278617i
$467$	−1.61167e23	+	7.36023e22i	−0.152554	+	0.0696690i	−0.490229	−	0.871594i	$-0.663087\pi$
$467$	−1.61167e23	+	7.36023e22i	−0.152554	+	0.0696690i	0.337675	+	0.941263i	$0.390360\pi$
$468$	−3.10010e23	−	3.57771e23i	−0.287848	−	0.332195i
$469$	−2.60624e22	−	1.81268e23i	−0.0237388	−	0.165107i
$470$	−7.96018e22	−	3.63529e22i	−0.0711283	−	0.0324832i
$471$	−1.09515e22	−	3.72974e22i	−0.00960033	−	0.0326957i
$472$	−5.59751e23	+	1.64358e23i	−0.481412	+	0.141355i
$473$	−1.25790e24	+	2.75442e24i	−1.06144	+	2.32424i
$474$	1.63562e23	−	2.35167e22i	0.135418	−	0.0194702i
$475$	9.68654e23	−	8.39344e23i	0.786912	−	0.681863i
$476$	1.07922e23	+	2.36316e23i	0.0860295	+	0.188378i
$477$	9.72202e23	+	1.51278e24i	0.760485	+	1.18334i
$478$	−9.32049e22	+	6.48254e23i	−0.0715463	+	0.497616i
$479$	−5.49532e23	+	8.55089e23i	−0.413975	+	0.644157i	−0.984144	−	0.177370i	$-0.943241\pi$
$479$	−5.49532e23	+	8.55089e23i	−0.413975	+	0.644157i	0.570170	+	0.821527i	$0.306877\pi$
$480$	3.16621e23	+	2.74354e23i	0.234082	+	0.202834i
$481$	−3.39772e23	+	1.15716e24i	−0.246537	+	0.839627i
$482$		−	9.37040e23i		−	0.667321i
$483$	−7.38305e22	−	6.65588e22i	−0.0516074	−	0.0465245i
$484$	2.79960e24			1.92082
$485$	2.37061e24	+	6.96074e23i	1.59656	+	0.468791i
$486$	−2.25125e23	+	2.59808e23i	−0.148832	+	0.171762i
$487$	6.41382e23	+	4.12191e23i	0.416252	+	0.267509i	0.731960	−	0.681348i	$-0.238606\pi$
$487$	6.41382e23	+	4.12191e23i	0.416252	+	0.267509i	−0.315708	+	0.948856i	$0.602242\pi$
$488$	−1.62369e24	−	2.33451e23i	−1.03448	−	0.148736i
$489$	−1.95462e23	+	1.25616e23i	−0.122259	+	0.0785713i
$490$	1.15255e24	−	5.26352e23i	0.707775	−	0.323230i
$491$	1.05625e24	+	1.21897e24i	0.636842	+	0.734954i	0.978813	−	0.204756i	$-0.0656401\pi$
$491$	1.05625e24	+	1.21897e24i	0.636842	+	0.734954i	−0.341971	+	0.939710i	$0.611095\pi$
$492$	1.94592e22	+	1.35341e23i	0.0115196	+	0.0801207i
$493$	9.72117e23	+	4.43951e23i	0.565062	+	0.258055i
$494$	5.72603e22	+	1.95011e23i	0.0326822	+	0.111305i
$495$	−6.09828e24	+	1.79062e24i	−3.41791	+	1.00359i
$496$	3.09345e23	−	6.77371e23i	0.170258	−	0.372813i
$497$	−3.64285e23	+	5.23763e22i	−0.196895	+	0.0283092i
$498$	9.34409e22	−	8.09670e22i	0.0495990	−	0.0429778i
$499$	4.53065e23	+	9.92074e23i	0.236187	+	0.517177i	0.990196	−	0.139687i	$-0.0446097\pi$
$499$	4.53065e23	+	9.92074e23i	0.236187	+	0.517177i	−0.754009	+	0.656864i	$0.771882\pi$
$500$	−2.63034e24	−	4.09290e24i	−1.34674	−	2.09556i
$501$	3.61286e22	−	2.51280e23i	0.0181682	−	0.126362i
$502$	−7.60078e23	+	1.18270e24i	−0.375426	+	0.584175i
$503$	4.39274e23	+	3.80633e23i	0.213120	+	0.184669i	0.754878	−	0.655865i	$-0.227696\pi$
$503$	4.39274e23	+	3.80633e23i	0.213120	+	0.184669i	−0.541759	+	0.840534i	$0.682241\pi$
$504$	−2.26906e23	+	7.72771e23i	−0.108136	+	0.368278i
$505$		−	2.43491e24i		−	1.13988i
$506$	1.86609e24	+	8.96939e23i	0.858181	+	0.412485i
$507$	−2.18650e23			−0.0987818
$508$	−1.16537e24	−	3.42184e23i	−0.517239	−	0.151875i
$509$	6.95933e23	−	8.03150e23i	0.303464	−	0.350216i	−0.583451	−	0.812148i	$-0.698298\pi$
$509$	6.95933e23	−	8.03150e23i	0.303464	−	0.350216i	0.886915	+	0.461932i	$0.152843\pi$
$510$	−1.84140e23	−	1.18339e23i	−0.0788889	−	0.0506988i
$511$	6.40071e22	+	9.20284e21i	0.0269427	+	0.00387377i
$512$	1.17947e24	−	7.57999e23i	0.487817	−	0.313501i
$513$	−2.62237e23	+	1.19760e23i	−0.106571	+	0.0486692i
$514$	2.46753e22	+	2.84769e22i	0.00985360	+	0.0113717i
$515$	−3.66634e23	−	2.55000e24i	−0.143869	−	1.00063i
$516$	3.69732e23	+	1.68851e23i	0.142574	+	0.0651112i
$517$	1.12998e23	+	3.84836e23i	0.0428209	+	0.145835i
$518$	8.41341e23	−	2.47040e23i	0.313332	−	0.0920025i
$519$	−2.82584e22	+	6.18773e22i	−0.0103429	+	0.0226477i
$520$	2.82057e24	−	4.05537e23i	1.01463	−	0.145882i
$521$	2.31273e24	−	2.00399e24i	0.817684	−	0.708527i	−0.141921	−	0.989878i	$-0.545328\pi$
$521$	2.31273e24	−	2.00399e24i	0.817684	−	0.708527i	0.959605	+	0.281351i	$0.0907826\pi$
$522$	5.88186e23	+	1.28795e24i	0.204400	+	0.447573i
$523$	7.59027e23	+	1.18107e24i	0.259264	+	0.403422i	0.946345	−	0.323158i	$-0.104745\pi$
$523$	7.59027e23	+	1.18107e24i	0.259264	+	0.403422i	−0.687081	+	0.726581i	$0.741108\pi$
$524$	−3.14080e23	+	2.18448e24i	−0.105453	+	0.733442i
$525$	−3.10565e23	+	4.83248e23i	−0.102499	+	0.159491i
$526$	3.25185e23	+	2.81774e23i	0.105501	+	0.0914175i
$527$	−7.40736e23	+	2.52272e24i	−0.236248	+	0.804587i
$528$		−	2.84139e23i		−	0.0890894i
$529$	−2.02650e24	−	2.53334e24i	−0.624663	−	0.780895i
$530$	−4.62593e24			−1.40190
$531$	−1.79259e24	−	5.26353e23i	−0.534111	−	0.156829i
$532$	−2.84686e23	+	3.28545e23i	−0.0833992	+	0.0962478i
$533$	1.23040e24	+	7.90732e23i	0.354407	+	0.227764i
$534$	−3.95564e23	−	5.68735e22i	−0.112033	−	0.0161079i
$535$	1.62168e24	−	1.04219e24i	0.451628	−	0.290243i
$536$	1.08981e24	−	4.97701e23i	0.298448	−	0.136297i
$537$	−1.22290e23	−	1.41131e23i	−0.0329324	−	0.0380061i
$538$	−2.86445e23	−	1.99227e24i	−0.0758579	−	0.527603i
$539$	−5.28246e24	−	2.41242e24i	−1.37574	−	0.628281i
$540$	4.86662e23	+	1.65742e24i	0.124647	+	0.424510i
$541$	3.59035e23	−	1.05422e23i	0.0904402	−	0.0265557i	−0.236199	−	0.971705i	$-0.575902\pi$
$541$	3.59035e23	−	1.05422e23i	0.0904402	−	0.0265557i	0.326640	+	0.945149i	$0.394084\pi$
$542$	1.45512e23	−	3.18627e23i	0.0360500	−	0.0789385i
$543$	2.73058e23	−	3.92598e22i	0.0665360	−	0.00956643i
$544$	−2.02003e24	+	1.75036e24i	−0.484135	+	0.419506i
$545$	2.42583e24	+	5.31184e24i	0.571864	+	1.25221i
$546$	−4.92468e22	−	7.66295e22i	−0.0114194	−	0.0177690i
$547$	2.70082e23	−	1.87847e24i	0.0616042	−	0.428467i	−0.935557	−	0.353175i	$-0.885102\pi$
$547$	2.70082e23	−	1.87847e24i	0.0616042	−	0.428467i	0.997162	−	0.0752919i	$-0.0239889\pi$
$548$	1.63673e24	−	2.54680e24i	0.367241	−	0.571438i
$549$	−3.97018e24	−	3.44018e24i	−0.876312	−	0.759329i
$550$	3.37090e24	−	1.14802e25i	0.731951	−	2.49280i
$551$			1.78831e24i			0.382013i
$552$	2.81721e23	−	5.86125e23i	0.0592063	−	0.123180i
$553$	3.78070e24			0.781712
$554$	−3.18618e24	−	9.35546e23i	−0.648160	−	0.190317i
$555$	1.42329e24	−	1.64256e24i	0.284876	−	0.328764i
$556$	−3.17806e24	−	2.04242e24i	−0.625877	−	0.402227i
$557$	−4.24688e24	−	6.10609e23i	−0.822950	−	0.118322i	−0.282040	−	0.959403i	$-0.591011\pi$
$557$	−4.24688e24	−	6.10609e23i	−0.822950	−	0.118322i	−0.540910	+	0.841080i	$0.681920\pi$
$558$	−2.93044e24	+	1.88328e24i	−0.558760	+	0.359093i
$559$	3.95488e24	−	1.80613e24i	0.742039	−	0.338878i
$560$	9.28862e23	+	1.07196e24i	0.171498	+	0.197919i
$561$	1.42773e23	+	9.93011e23i	0.0259407	+	0.180421i
$562$	3.44234e24	+	1.57207e24i	0.615499	+	0.281089i
$563$	1.56888e24	+	5.34311e24i	0.276066	+	0.940196i	0.974475	+	0.224496i	$0.0720737\pi$
$563$	1.56888e24	+	5.34311e24i	0.276066	+	0.940196i	−0.698409	+	0.715699i	$0.746108\pi$
$564$	5.16572e22	−	1.51679e22i	0.00894580	−	0.00262672i
$565$	2.05717e24	−	4.50457e24i	0.350618	−	0.767746i
$566$	4.56832e24	−	6.56826e23i	0.766318	−	0.110180i
$567$	−1.89986e24	+	1.64624e24i	−0.313670	+	0.271797i
$568$	−1.00021e24	−	2.19015e24i	−0.162538	−	0.355908i
$569$	−4.14037e24	−	6.44254e24i	−0.662260	−	1.03050i	−0.996131	−	0.0878783i	$-0.971991\pi$
$569$	−4.14037e24	−	6.44254e24i	−0.662260	−	1.03050i	0.333871	−	0.942619i	$-0.391645\pi$
$570$	5.21267e22	−	3.62549e23i	0.00820704	−	0.0570812i
$571$	−4.60647e23	+	7.16781e23i	−0.0713909	+	0.111086i	−0.875113	−	0.483918i	$-0.839213\pi$
$571$	−4.60647e23	+	7.16781e23i	−0.0713909	+	0.111086i	0.803722	+	0.595004i	$0.202850\pi$
$572$	−4.21826e24	−	3.65514e24i	−0.643530	−	0.557622i
$573$	−3.70085e23	+	1.26039e24i	−0.0555789	+	0.189284i
$574$		−	1.06341e24i		−	0.157215i
$575$	−1.25530e25	+	1.39245e25i	−1.82699	+	2.02660i
$576$	−1.47564e24			−0.211436
$577$	−3.23394e24	−	9.49571e23i	−0.456194	−	0.133951i	0.0455588	−	0.998962i	$-0.485493\pi$
$577$	−3.23394e24	−	9.49571e23i	−0.456194	−	0.133951i	−0.501753	+	0.865011i	$0.667311\pi$
$578$	−1.46042e24	+	1.68541e24i	−0.202827	+	0.234075i
$579$	4.44463e22	+	2.85639e22i	0.00607756	+	0.00390581i
$580$	1.06062e25	+	1.52495e24i	1.42794	+	0.205307i
$581$	2.37976e24	−	1.52938e24i	0.315463	−	0.202736i
$582$	4.69997e23	−	2.14641e23i	0.0613463	−	0.0280159i
$583$	1.38843e25	+	1.60234e25i	1.78446	+	2.05938i
$584$	6.02067e22	+	4.18747e23i	0.00761954	+	0.0529951i
$585$	8.30105e24	+	3.79096e24i	1.03450	+	0.472440i
$586$	1.44084e24	+	4.90704e24i	0.176822	+	0.602200i
$587$	7.21702e24	−	2.11911e24i	0.872198	−	0.256100i	0.185148	−	0.982711i	$-0.440724\pi$
$587$	7.21702e24	−	2.11911e24i	0.872198	−	0.256100i	0.687050	+	0.726610i	$0.258905\pi$
$588$	−3.23823e23	+	7.09074e23i	−0.0385401	+	0.0843909i
$589$	−4.35485e24	+	6.26132e23i	−0.510429	+	0.0733886i
$590$	3.63220e24	−	3.14732e24i	0.419278	−	0.363306i
$591$	−3.77677e23	−	8.26997e23i	−0.0429371	−	0.0940192i
$592$	−2.12326e24	−	3.30386e24i	−0.237743	−	0.369936i
$593$	−9.79958e23	+	6.81576e24i	−0.108073	+	0.751661i	0.861659	+	0.507488i	$0.169426\pi$
$593$	−9.79958e23	+	6.81576e24i	−0.108073	+	0.751661i	−0.969732	+	0.244173i	$0.921483\pi$
$594$	−1.45497e24	+	2.26398e24i	−0.158044	+	0.245921i
$595$	−3.78483e24	−	3.27957e24i	−0.404942	−	0.350884i
$596$	4.40583e23	−	1.50049e24i	0.0464313	−	0.158131i
$597$			6.53119e23i			0.0677990i
$598$	−1.18158e24	−	2.72792e24i	−0.120824	−	0.278946i
$599$	2.02031e24			0.203505			0.101753	−	0.994810i	$-0.467555\pi$
$599$	2.02031e24			0.203505			0.101753	+	0.994810i	$0.467555\pi$
$600$	−3.60585e24	−	1.05877e24i	−0.357805	−	0.105061i
$601$	1.23260e25	−	1.42250e25i	1.20490	−	1.39053i	0.306203	−	0.951966i	$-0.400941\pi$
$601$	1.23260e25	−	1.42250e25i	1.20490	−	1.39053i	0.898699	−	0.438565i	$-0.144513\pi$
$602$	−2.65934e24	−	1.70906e24i	−0.256098	−	0.164584i
$603$	3.79778e24	+	5.46039e23i	0.360309	+	0.0518045i
$604$	6.00451e24	−	3.85887e24i	0.561236	−	0.360684i
$605$	−4.90909e25	+	2.24191e25i	−4.52067	+	2.06452i
$606$	−3.33460e23	−	3.84833e23i	−0.0302545	−	0.0349155i
$607$	−2.04972e24	−	1.42561e25i	−0.183230	−	1.27439i	−0.849063	−	0.528292i	$-0.822833\pi$
$607$	−2.04972e24	−	1.42561e25i	−0.183230	−	1.27439i	0.665833	−	0.746101i	$-0.268076\pi$
$608$	−4.06850e24	−	1.85802e24i	−0.358345	−	0.163651i
$609$	−2.25804e23	−	7.69018e23i	−0.0195964	−	0.0667392i
$610$	1.29666e25	−	3.80733e24i	1.10881	−	0.325576i
$611$	2.39231e23	−	5.23843e23i	0.0201580	−	0.0441398i
$612$	−5.38759e24	+	7.74619e23i	−0.447334	+	0.0643169i
$613$	2.43534e24	−	2.11024e24i	0.199258	−	0.172658i	−0.549516	−	0.835483i	$-0.685188\pi$
$613$	2.43534e24	−	2.11024e24i	0.199258	−	0.172658i	0.748775	+	0.662825i	$0.230643\pi$
$614$	−1.70042e24	−	3.72340e24i	−0.137101	−	0.300209i
$615$	−1.42503e24	−	2.21738e24i	−0.113226	−	0.176183i
$616$	−1.35141e24	+	9.39926e24i	−0.105818	+	0.735982i
$617$	1.94846e23	−	3.03186e23i	0.0150357	−	0.0233960i	−0.833654	−	0.552287i	$-0.813755\pi$
$617$	1.94846e23	−	3.03186e23i	0.0150357	−	0.0233960i	0.848690	+	0.528891i	$0.177392\pi$
$618$	−4.07166e23	−	3.52812e23i	−0.0309653	−	0.0268316i
$619$	1.17528e24	−	4.00265e24i	0.0880901	−	0.300007i	−0.903650	−	0.428272i	$-0.859123\pi$
$619$	1.17528e24	−	4.00265e24i	0.0880901	−	0.300007i	0.991740	+	0.128265i	$0.0409407\pi$
$620$			2.63620e25i			1.94739i
$621$	3.59148e24	−	2.20962e24i	0.261487	−	0.160877i
$622$	5.80417e23			0.0416511
$623$	−8.77301e24	−	2.57599e24i	−0.620521	−	0.182201i
$624$	−2.67167e23	+	3.08327e23i	−0.0186261	+	0.0214956i
$625$	4.54963e25	+	2.92387e25i	3.12648	+	2.00927i
$626$	−1.30641e25	−	1.87833e24i	−0.884930	−	0.127234i
$627$	−1.41226e24	+	9.07602e23i	−0.0942986	+	0.0606021i
$628$	2.26189e24	−	1.03297e24i	0.148879	−	0.0679910i
$629$	9.08049e24	+	1.04794e25i	0.589188	+	0.679959i
$630$	−9.44273e23	−	6.56757e24i	−0.0603994	−	0.420087i
$631$	1.05318e25	+	4.80972e24i	0.664109	+	0.303288i	0.718802	−	0.695215i	$-0.244691\pi$
$631$	1.05318e25	+	4.80972e24i	0.664109	+	0.303288i	−0.0546931	+	0.998503i	$0.517418\pi$
$632$	6.96839e24	+	2.37322e25i	0.433190	+	1.47531i
$633$	−1.92926e24	+	5.66483e23i	−0.118238	+	0.0347179i
$634$	1.34109e24	−	2.93657e24i	0.0810315	−	0.177434i
$635$	2.31750e25	−	3.33206e24i	1.38056	−	0.198495i
$636$	2.15084e24	−	1.86372e24i	0.126327	−	0.109463i
$637$	3.46381e24	+	7.58470e24i	0.200586	+	0.439221i
$638$	9.02546e24	+	1.40439e25i	0.515327	+	0.801865i
$639$	1.09735e24	−	7.63222e24i	0.0617784	−	0.429678i
$640$	−1.73619e25	+	2.70156e25i	−0.963778	+	1.49967i
$641$	−2.15860e25	−	1.87044e25i	−1.18154	−	1.02381i	−0.999176	−	0.0405828i	$-0.987079\pi$
$641$	−2.15860e25	−	1.87044e25i	−1.18154	−	1.02381i	−0.182367	−	0.983230i	$-0.558376\pi$
$642$	1.13576e23	−	3.86804e23i	0.00613014	−	0.0208774i
$643$		−	9.52965e24i		−	0.507199i	−0.967309	−	0.253599i	$-0.918386\pi$
$643$		−	9.52965e24i		−	0.507199i	0.967309	−	0.253599i	$-0.0816145\pi$
$644$	3.54222e24	−	5.28072e24i	0.185910	−	0.277153i
$645$	−7.83539e24			−0.405530
$646$	2.24217e24	+	6.58361e23i	0.114440	+	0.0336025i
$647$	2.00131e25	−	2.30964e25i	1.00734	−	1.16253i	0.0206724	−	0.999786i	$-0.493419\pi$
$647$	2.00131e25	−	2.30964e25i	1.00734	−	1.16253i	0.986668	−	0.162746i	$-0.0520352\pi$
$648$	−1.38354e25	−	8.89150e24i	−0.686780	−	0.441367i
$649$	−2.18034e25	−	3.13486e24i	−1.06739	−	0.153467i
$650$	−1.44523e25	+	9.28795e24i	−0.697779	+	0.448435i
$651$	1.79363e24	−	8.19126e23i	0.0854093	−	0.0390051i
$652$	−9.73312e24	−	1.12326e25i	−0.457113	−	0.527537i
$653$	2.73905e23	+	1.90505e24i	0.0126876	+	0.0882445i	0.995181	−	0.0980511i	$-0.0312609\pi$
$653$	2.73905e23	+	1.90505e24i	0.0126876	+	0.0882445i	−0.982494	+	0.186296i	$0.940352\pi$
$654$	1.11085e24	+	5.07309e23i	0.0507524	+	0.0231778i
$655$	−1.19858e25	−	4.08199e25i	−0.540127	−	1.83950i
$656$	−4.56990e24	+	1.34184e24i	−0.203129	+	0.0596441i
$657$	−5.62812e23	+	1.23239e24i	−0.0246760	+	0.0540330i
$658$	−4.14451e23	+	5.95890e22i	−0.0179242	+	0.00257711i
$659$	2.31729e25	−	2.00795e25i	0.988582	−	0.856611i	−0.00108478	−	0.999999i	$-0.500345\pi$
$659$	2.31729e25	−	2.00795e25i	0.988582	−	0.856611i	0.989666	+	0.143388i	$0.0457998\pi$
$660$	4.17860e24	+	9.14986e24i	0.175847	+	0.385052i
$661$	−1.71862e25	−	2.67423e25i	−0.713456	−	1.11016i	−0.988863	−	0.148831i	$-0.952449\pi$
$661$	−1.71862e25	−	2.67423e25i	−0.713456	−	1.11016i	0.275407	−	0.961328i	$-0.411187\pi$
$662$	−8.23175e23	+	5.72531e24i	−0.0337109	+	0.234464i
$663$	7.78767e23	−	1.21179e24i	0.0314620	−	0.0489558i
$664$	1.39864e25	+	1.21193e25i	0.557435	+	0.483020i
$665$	2.36099e24	−	8.04080e24i	0.0928324	−	0.316158i
$666$			1.83713e25i			0.712643i
$667$	−3.21315e24	−	2.59593e25i	−0.122970	−	0.993483i
$668$	1.62394e25			0.613170
$669$	2.46263e24	+	7.23093e23i	0.0917411	+	0.0269376i
$670$	−6.46359e24	+	7.45939e24i	−0.237575	+	0.274176i
$671$	−5.21059e25	−	3.34864e25i	−1.88966	−	1.21441i
$672$	1.98416e24	+	2.85280e23i	0.0709993	+	0.0102082i
$673$	6.56960e24	−	4.22203e24i	0.231955	−	0.149068i	−0.419501	−	0.907755i	$-0.637795\pi$
$673$	6.56960e24	−	4.22203e24i	0.231955	−	0.149068i	0.651456	+	0.758687i	$0.274159\pi$
$674$	1.62894e25	−	7.43912e24i	0.567500	−	0.259169i
$675$	−1.59577e25	−	1.84162e25i	−0.548577	−	0.633091i
$676$	−1.99052e24	−	1.38444e25i	−0.0675223	−	0.469628i
$677$	−1.19995e25	−	5.48000e24i	−0.401667	−	0.183435i	0.204330	−	0.978902i	$-0.434498\pi$
$677$	−1.19995e25	−	5.48000e24i	−0.401667	−	0.183435i	−0.605997	+	0.795467i	$0.707226\pi$
$678$	−2.91767e23	−	9.93668e23i	−0.00963761	−	0.0328227i
$679$	1.13428e25	−	3.33053e24i	0.369735	−	0.108564i
$680$	1.36105e25	−	2.98028e25i	0.437817	−	0.958686i
$681$	7.63024e24	−	1.09706e24i	0.242222	−	0.0348263i
$682$	−3.10393e25	+	2.68957e25i	−0.972417	+	0.842604i
$683$	3.60821e24	+	7.90088e24i	0.111559	+	0.244281i	0.957174	−	0.289513i	$-0.0934932\pi$
$683$	3.60821e24	+	7.90088e24i	0.111559	+	0.244281i	−0.845615	+	0.533793i	$0.820766\pi$
$684$	−4.92420e24	−	7.66221e24i	−0.150256	−	0.233802i
$685$	−8.30534e24	+	5.77649e25i	−0.250116	+	1.73960i
$686$	7.37451e24	−	1.14750e25i	0.219188	−	0.341063i
$687$	−4.49302e24	−	3.89323e24i	−0.131804	−	0.114209i
$688$	−3.98886e24	+	1.35848e25i	−0.115492	+	0.393331i
$689$		−	3.04423e25i		−	0.869970i
$690$	−1.05265e23	+	5.35647e24i	−0.00296923	+	0.151090i
$691$	−1.62847e24			−0.0453396			−0.0226698	−	0.999743i	$-0.507217\pi$
$691$	−1.62847e24			−0.0453396			−0.0226698	+	0.999743i	$0.507217\pi$
$692$	−4.17519e24	−	1.22595e24i	−0.114742	−	0.0336912i
$693$	−1.99147e25	+	2.29827e25i	−0.540224	+	0.623451i
$694$	6.80283e24	+	4.37191e24i	0.182161	+	0.117067i
$695$	7.20829e25	+	1.03639e25i	1.90532	+	0.273944i
$696$	4.41107e24	−	2.83482e24i	0.115096	−	0.0739679i
$697$	1.52967e25	−	6.98575e24i	0.394005	−	0.179936i
$698$	7.96869e24	+	9.19636e24i	0.202623	+	0.233839i
$699$	9.01351e23	+	6.26904e24i	0.0226256	+	0.157364i
$700$	−3.34255e25	−	1.52649e25i	−0.828314	−	0.378279i
$701$	−2.63504e24	−	8.97411e24i	−0.0644650	−	0.219548i	0.920960	−	0.389657i	$-0.127406\pi$
$701$	−2.63504e24	−	8.97411e24i	−0.0644650	−	0.219548i	−0.985425	+	0.170109i	$0.945588\pi$
$702$	3.70757e24	−	1.08864e24i	0.0895480	−	0.0262937i
$703$	−9.63900e24	+	2.11065e25i	−0.229845	+	0.503289i
$704$	−1.72213e25	+	2.47604e24i	−0.405426	+	0.0582914i
$705$	−7.84345e23	+	6.79639e23i	−0.0182308	+	0.0157971i
$706$	−3.13039e24	−	6.85459e24i	−0.0718383	−	0.157304i
$707$	−6.29870e24	−	9.80096e24i	−0.142717	−	0.222072i
$708$	−4.20798e23	+	2.92672e24i	−0.00941401	+	0.0654759i
$709$	−8.64983e24	+	1.34594e25i	−0.191070	+	0.297310i	−0.923550	−	0.383478i	$-0.874726\pi$
$709$	−8.64983e24	+	1.34594e25i	−0.191070	+	0.297310i	0.732480	+	0.680788i	$0.238363\pi$
$710$	1.49908e25	+	1.29896e25i	0.326963	+	0.283315i
$711$	−2.23162e25	+	7.60019e25i	−0.480610	+	1.63681i
$712$		−	5.98177e25i		−	1.27207i
$713$	6.20905e25	−	1.69136e25i	1.30382	−	0.355165i
$714$	−1.04732e24			−0.0217168
$715$	1.03237e26	+	3.03132e25i	2.11389	+	0.620694i
$716$	7.82278e24	−	9.02797e24i	0.158177	−	0.182546i
$717$	6.53412e24	+	4.19922e24i	0.130471	+	0.0838488i
$718$	−3.02455e25	−	4.34865e24i	−0.596405	−	0.0857501i
$719$	−5.93657e24	+	3.81520e24i	−0.115605	+	0.0742947i	−0.597166	−	0.802118i	$-0.703706\pi$
$719$	−5.93657e24	+	3.81520e24i	−0.115605	+	0.0742947i	0.481561	+	0.876413i	$0.340070\pi$
$720$	−2.70320e25	+	1.23451e25i	−0.519859	+	0.237411i
$721$	−8.07216e24	−	9.31577e24i	−0.153311	−	0.176930i
$722$	−3.26501e24	−	2.27086e25i	−0.0612420	−	0.425947i
$723$	−1.01087e25	−	4.61649e24i	−0.187262	−	0.0855199i
$724$	4.97169e24	+	1.69320e25i	0.0909613	+	0.309786i
$725$	−1.45037e26	+	4.25867e25i	−2.62082	+	0.769541i
$726$	−4.68845e24	+	1.02663e25i	−0.0836757	+	0.183224i
$727$	4.83617e25	−	6.95336e24i	0.852495	−	0.122570i	0.297804	−	0.954627i	$-0.403746\pi$
$727$	4.83617e25	−	6.95336e24i	0.852495	−	0.122570i	0.554690	+	0.832057i	$0.312837\pi$
$728$	1.03043e25	−	8.92869e24i	0.179405	−	0.155455i
$729$	−2.07270e25	−	4.53859e25i	−0.356442	−	0.780500i
$730$	−1.88426e24	−	2.93197e24i	−0.0320063	−	0.0498028i
$731$	7.11423e24	−	4.94805e25i	0.119363	−	0.830191i
$732$	−4.49494e24	+	6.99427e24i	−0.0744946	+	0.115916i
$733$	−1.31752e25	−	1.14163e25i	−0.215685	−	0.186892i	0.540317	−	0.841462i	$-0.318304\pi$
$733$	−1.31752e25	−	1.14163e25i	−0.215685	−	0.186892i	−0.756002	+	0.654570i	$0.772850\pi$
$734$	−1.66795e25	+	5.68053e25i	−0.269724	+	0.918596i
$735$		−	1.50268e25i		−	0.240038i
$736$	6.23972e25	+	1.96612e25i	0.984612	+	0.310248i
$737$	4.52378e25			0.705170
$738$	2.13773e25	+	6.27693e24i	0.329189	+	0.0966585i
$739$	−7.56135e25	+	8.72626e25i	−1.15027	+	1.32748i	−0.213740	+	0.976891i	$0.568565\pi$
$739$	−7.56135e25	+	8.72626e25i	−1.15027	+	1.32748i	−0.936529	+	0.350590i	$0.885981\pi$
$740$	1.16960e26	+	7.51659e25i	1.75774	+	1.12963i
$741$	2.38586e24	+	3.43035e23i	0.0354227	+	0.00509301i
$742$	−1.86202e25	+	1.19665e25i	−0.273117	+	0.175522i
$743$	3.48799e25	−	1.59291e25i	0.505447	−	0.230830i	−0.146337	−	0.989235i	$-0.546748\pi$
$743$	3.48799e25	−	1.59291e25i	0.505447	−	0.230830i	0.651784	+	0.758405i	$0.274021\pi$
$744$	8.44773e24	+	9.74920e24i	0.120944	+	0.139577i
$745$	4.29023e24	+	2.98392e25i	0.0606840	+	0.422066i
$746$	7.82865e24	+	3.57523e24i	0.109405	+	0.0499636i
$747$	1.66976e25	+	5.68667e25i	0.230551	+	0.785186i
$748$	−6.15754e25	+	1.80802e25i	−0.840027	+	0.246654i
$749$	3.83158e24	−	8.39000e24i	0.0516466	−	0.113090i
$750$	1.94139e25	−	2.79129e24i	0.258560	−	0.0371752i
$751$	3.99914e25	−	3.46527e25i	0.526268	−	0.456014i	−0.350752	−	0.936468i	$-0.614074\pi$
$751$	3.99914e25	−	3.46527e25i	0.526268	−	0.456014i	0.877019	+	0.480455i	$0.159528\pi$
$752$	7.79045e23	+	1.70587e24i	0.0101298	+	0.0221812i
$753$	9.01426e24	+	1.40265e25i	0.115818	+	0.180216i
$754$	3.41124e24	−	2.37257e25i	0.0433082	−	0.301215i
$755$	−7.43874e25	+	1.15749e26i	−0.933205	+	1.45210i
$756$	6.24636e24	+	5.41250e24i	0.0774338	+	0.0670968i
$757$	−1.98861e25	+	6.77260e25i	−0.243606	+	0.829645i	0.743384	+	0.668865i	$0.233219\pi$
$757$	−1.98861e25	+	6.77260e25i	−0.243606	+	0.829645i	−0.986990	+	0.160781i	$0.948599\pi$
$758$			1.71223e25i			0.207271i
$759$	1.88697e25	−	1.57123e25i	0.225730	−	0.187960i
$760$	5.48252e25			0.648124
$761$	4.45386e25	+	1.30777e25i	0.520325	+	0.152781i	0.531341	−	0.847158i	$-0.321688\pi$
$761$	4.45386e25	+	1.30777e25i	0.520325	+	0.152781i	−0.0110159	+	0.999939i	$0.503507\pi$
$762$	3.20644e24	−	3.70043e24i	0.0370193	−	0.0427226i
$763$	2.35052e25	+	1.51059e25i	0.268191	+	0.172356i
$764$	−8.31744e25	−	1.19587e25i	−0.937885	−	0.134847i
$765$	8.82682e25	−	5.67266e25i	0.983675	−	0.632169i
$766$	−3.67866e25	+	1.67999e25i	−0.405164	+	0.185032i
$767$	2.07119e25	+	2.39028e25i	0.225455	+	0.260189i
$768$	1.40110e24	+	9.74489e24i	0.0150737	+	0.104840i
$769$	2.81634e25	+	1.28618e25i	0.299466	+	0.136762i	0.559481	−	0.828843i	$-0.311000\pi$
$769$	2.81634e25	+	1.28618e25i	0.299466	+	0.136762i	−0.260015	+	0.965604i	$0.583728\pi$
$770$	−2.20400e25	−	7.50615e25i	−0.231631	−	0.788862i
$771$	4.28773e23	−	1.25899e23i	0.00445388	−	0.00130778i
$772$	−1.40398e24	+	3.07428e24i	−0.0144147	+	0.0315637i
$773$	−1.75046e26	+	2.51679e25i	−1.77639	+	0.255406i	−0.951007	−	0.309170i	$-0.899949\pi$
$773$	−1.75046e26	+	2.51679e25i	−1.77639	+	0.255406i	−0.825381	+	0.564576i	$0.809040\pi$
$774$	5.00536e25	−	4.33717e25i	0.502072	−	0.435048i
$775$	−1.54487e26	−	3.38280e26i	−1.53171	−	3.35398i
$776$	4.18127e25	+	6.50619e25i	0.409782	+	0.637633i
$777$	1.47997e24	−	1.02934e25i	0.0143372	−	0.0997172i
$778$	3.27580e25	−	5.09724e25i	0.313690	−	0.488111i
$779$	2.12666e25	+	1.84276e25i	0.201308	+	0.174434i
$780$	4.06900e24	−	1.38577e25i	0.0380747	−	0.129670i
$781$		−	9.09122e25i		−	0.840936i
$782$	−3.37305e25	−	5.52821e24i	−0.308434	−	0.0505503i
$783$	3.39996e25			0.307339
$784$	−2.60531e25	−	7.64987e24i	−0.232817	−	0.0683612i
$785$	−3.13903e25	+	3.62263e25i	−0.277312	+	0.320035i
$786$	−7.48460e24	−	4.81006e24i	−0.0653681	−	0.0420095i
$787$	1.23937e26	+	1.78195e25i	1.07011	+	0.153859i	0.654787	−	0.755813i	$-0.272758\pi$
$787$	1.23937e26	+	1.78195e25i	1.07011	+	0.153859i	0.415326	+	0.909672i	$0.363667\pi$
$788$	4.89253e25	−	3.14424e25i	0.417636	−	0.268398i
$789$	4.64184e24	−	2.11986e24i	0.0391739	−	0.0178901i
$790$	−1.33439e26	−	1.53997e26i	−1.11337	−	1.28490i
$791$	−3.37207e24	−	2.34533e25i	−0.0278169	−	0.193471i
$792$	−1.80972e26	−	8.26473e25i	−1.47600	−	0.674066i
$793$	2.50553e25	+	8.53304e25i	0.202041	+	0.688089i
$794$	−5.53358e25	+	1.62481e25i	−0.441186	+	0.129544i
$795$	−2.27905e25	+	4.99042e25i	−0.179659	+	0.393398i
$796$	−4.13540e25	+	5.94581e24i	−0.322330	+	0.0463440i
$797$	−1.67437e26	+	1.45085e26i	−1.29041	+	1.11814i	−0.304202	+	0.952608i	$0.598390\pi$
$797$	−1.67437e26	+	1.45085e26i	−1.29041	+	1.11814i	−0.986204	+	0.165536i	$0.947065\pi$
$798$	−7.28033e23	−	1.59417e24i	−0.00554785	−	0.0121481i
$799$	−3.57977e24	−	5.57023e24i	−0.0269733	−	0.0419712i
$800$	5.38038e25	−	3.74214e26i	0.400870	−	2.78811i
$801$	1.03568e26	−	1.61155e26i	0.763014	−	1.18727i
$802$	2.51718e25	+	2.18115e25i	0.183377	+	0.158897i
$803$	−4.50035e24	+	1.53268e25i	−0.0324195	+	0.110411i
$804$		−	6.07235e24i		−	0.0432566i
$805$	−1.98251e25	+	1.20963e26i	−0.139654	+	0.852101i
$806$	5.89707e25			0.410791
$807$	−2.29037e25	−	6.72512e24i	−0.157777	−	0.0463274i
$808$	4.99130e25	−	5.76027e25i	0.340025	−	0.392410i
$809$	5.66149e25	+	3.63842e25i	0.381412	+	0.245118i	0.717272	−	0.696793i	$-0.245391\pi$
$809$	5.66149e25	+	3.63842e25i	0.381412	+	0.245118i	−0.335860	+	0.941912i	$0.609027\pi$
$810$	1.34110e26	+	1.92821e25i	0.893504	+	0.128466i
$811$	−2.13021e26	+	1.36901e26i	−1.40357	+	0.902022i	−0.999917	−	0.0128878i	$-0.995898\pi$
$811$	−2.13021e26	+	1.36901e26i	−1.40357	+	0.902022i	−0.403657	+	0.914910i	$0.632261\pi$
$812$	4.66368e25	−	2.12983e25i	0.303896	−	0.138785i
$813$	−2.72043e24	−	3.13954e24i	−0.0175316	−	0.0202326i
$814$	3.08261e25	+	2.14400e26i	0.196471	+	1.36649i
$815$	2.60621e26	+	1.19021e26i	1.64282	+	0.750251i
$816$	1.32154e24	+	4.50076e24i	0.00823890	+	0.0280591i
$817$	8.02618e25	−	2.35670e25i	0.494892	−	0.145313i
$818$	−7.93107e24	+	1.73666e25i	−0.0483673	+	0.105910i
$819$	4.32198e25	−	6.21407e24i	0.260692	−	0.0374818i
$820$	1.27427e26	−	1.10416e26i	0.760214	−	0.658729i
$821$	−1.62942e25	−	3.56794e25i	−0.0961493	−	0.210538i	0.855446	−	0.517893i	$-0.173283\pi$
$821$	−1.62942e25	−	3.56794e25i	−0.0961493	−	0.210538i	−0.951595	+	0.307355i	$0.900556\pi$
$822$	6.59823e24	+	1.02670e25i	0.0385107	+	0.0599237i
$823$	−2.65361e25	+	1.84562e26i	−0.153193	+	1.06548i	0.757631	+	0.652683i	$0.226357\pi$
$823$	−2.65361e25	+	1.84562e26i	−0.153193	+	1.06548i	−0.910824	+	0.412795i	$0.864552\pi$
$824$	4.35986e25	−	6.78408e25i	0.248959	−	0.387388i
$825$	−1.07241e26	−	9.29244e25i	−0.605722	−	0.524861i
$826$	6.47869e24	−	2.20644e25i	0.0361965	−	0.123274i
$827$		−	3.09260e26i		−	1.70913i	−0.519347	−	0.854563i	$-0.673825\pi$
$827$		−	3.09260e26i		−	1.70913i	0.519347	−	0.854563i	$-0.326175\pi$
$828$	8.52475e25	+	1.02378e26i	0.466024	+	0.559672i
$829$	−1.95183e26			−1.05548			−0.527742	−	0.849405i	$-0.676961\pi$
$829$	−1.95183e26			−1.05548			−0.527742	+	0.849405i	$0.676961\pi$
$830$	−1.46288e26	−	4.29541e25i	−0.782540	−	0.229775i
$831$	−2.57899e25	+	2.97631e25i	−0.136471	+	0.157496i
$832$	2.10154e25	+	1.35058e25i	0.110009	+	0.0706983i
$833$	9.48942e25	+	1.36437e25i	0.491399	+	0.0706526i
$834$	1.28119e25	−	8.23370e24i	0.0656325	−	0.0421794i
$835$	−2.84757e26	+	1.30044e26i	−1.44310	+	0.659042i
$836$	−7.03241e25	−	8.11583e25i	−0.352572	−	0.406889i
$837$	1.19041e25	+	8.27950e25i	0.0590430	+	0.410653i
$838$	−8.49450e24	−	3.87931e24i	−0.0416813	−	0.0190352i
$839$	−4.81535e25	−	1.63996e26i	−0.233760	−	0.796113i	−0.989908	−	0.141712i	$-0.954739\pi$
$839$	−4.81535e25	−	1.63996e26i	−0.233760	−	0.796113i	0.756148	−	0.654401i	$-0.227079\pi$
$840$	−2.35762e25	+	6.92260e24i	−0.113230	+	0.0332473i
$841$	1.86208e23	−	4.07738e23i	0.000884776	−	0.00193739i
$842$	1.59608e25	−	2.29482e24i	0.0750320	−	0.0107880i
$843$	3.39186e25	−	2.93906e25i	0.157757	−	0.136698i
$844$	−5.34319e25	−	1.17000e26i	−0.245878	−	0.538397i
$845$	1.45769e26	+	2.26821e26i	0.663675	+	1.03270i
$846$	1.24846e24	−	8.68325e24i	0.00562396	−	0.0391155i
$847$	−1.39606e26	+	2.17231e26i	−0.622232	+	0.968212i
$848$	7.49204e25	+	6.49189e25i	0.330398	+	0.286291i
$849$	1.54209e25	−	5.25187e25i	0.0672883	−	0.229163i
$850$			1.97525e26i			0.852808i
$851$	1.01998e26	−	3.23703e26i	0.435737	−	1.38287i
$852$	−1.22033e25			−0.0515848
$853$	−3.53474e26	−	1.03789e26i	−1.47848	−	0.434122i	−0.559637	−	0.828738i	$-0.689059\pi$
$853$	−3.53474e26	−	1.03789e26i	−1.47848	−	0.434122i	−0.918846	+	0.394616i	$0.870878\pi$
$854$	4.23439e25	−	4.88675e25i	0.175255	−	0.202255i
$855$	1.47705e26	+	9.49240e25i	0.604921	+	0.388759i
$856$	5.97277e25	+	8.58755e24i	0.242054	+	0.0348021i
$857$	3.34370e26	−	2.14886e26i	1.34091	−	0.861750i	0.343898	−	0.939007i	$-0.388253\pi$
$857$	3.34370e26	−	2.14886e26i	1.34091	−	0.861750i	0.997011	+	0.0772573i	$0.0246163\pi$
$858$	2.04679e25	−	9.34735e24i	0.0812244	−	0.0370940i
$859$	2.10652e26	+	2.43106e26i	0.827232	+	0.954677i	0.999539	−	0.0303662i	$-0.00966735\pi$
$859$	2.10652e26	+	2.43106e26i	0.827232	+	0.954677i	−0.172306	+	0.985043i	$0.555122\pi$
$860$	−7.13312e25	−	4.96119e26i	−0.277200	−	1.92797i
$861$	−1.14720e25	−	5.23907e24i	−0.0441174	−	0.0201477i
$862$	1.68592e25	+	5.74172e25i	0.0641611	+	0.218513i
$863$	−1.08275e25	+	3.17924e24i	−0.0407785	+	0.0119736i	−0.302058	−	0.953289i	$-0.597674\pi$
$863$	−1.08275e25	+	3.17924e24i	−0.0407785	+	0.0119736i	0.261280	+	0.965263i	$0.415856\pi$
$864$	−3.53250e25	+	7.73509e25i	−0.131661	+	0.288298i
$865$	8.30292e25	−	1.19378e25i	0.306257	−	0.0440331i
$866$	−6.92155e25	+	5.99755e25i	−0.252663	+	0.218934i
$867$	1.09871e25	+	2.40583e25i	0.0396926	+	0.0869148i
$868$	6.81939e25	+	1.06112e26i	0.243819	+	0.379390i
$869$	−1.32911e26	+	9.24416e26i	−0.470308	+	3.27107i
$870$	−2.33542e25	+	3.63398e25i	−0.0817883	+	0.127265i
$871$	−4.90887e25	−	4.25356e25i	−0.170144	−	0.147431i
$872$	−5.14988e25	+	1.75389e26i	−0.176664	+	0.601664i
$873$			2.47677e26i			0.840927i
$874$	−1.50327e25	−	5.51856e25i	−0.0505166	−	0.185448i
$875$	4.48748e26			1.49255
$876$	2.05734e24	+	6.04090e23i	0.00677282	+	0.00198868i
$877$	−1.22938e26	+	1.41878e26i	−0.400579	+	0.462293i	−0.919823	−	0.392333i	$-0.871668\pi$
$877$	−1.22938e26	+	1.41878e26i	−0.400579	+	0.462293i	0.519244	+	0.854626i	$0.326214\pi$
$878$	−3.69310e25	−	2.37341e25i	−0.119108	−	0.0765459i
$879$	6.00352e25	+	8.63176e24i	0.191649	+	0.0275550i
$880$	−2.94759e26	+	1.89430e26i	−0.931371	+	0.598556i
$881$	−3.40076e26	+	1.55307e26i	−1.06363	+	0.485745i	−0.868837	−	0.495098i	$-0.835132\pi$
$881$	−3.40076e26	+	1.55307e26i	−1.06363	+	0.485745i	−0.194797	+	0.980844i	$0.562405\pi$
$882$	8.31786e25	+	9.59932e25i	0.257510	+	0.297182i
$883$	−6.20930e25	−	4.31867e26i	−0.190281	−	1.32344i	−0.831262	−	0.555880i	$-0.812381\pi$
$883$	−6.20930e25	−	4.31867e26i	−0.190281	−	1.32344i	0.640981	−	0.767557i	$-0.278528\pi$
$884$	8.38172e25	+	3.82780e25i	0.254251	+	0.116113i
$885$	−1.60583e25	−	5.46897e25i	−0.0482182	−	0.164216i
$886$	−2.84523e26	+	8.35434e25i	−0.845695	+	0.248318i
$887$	2.14491e26	−	4.69669e26i	0.631096	−	1.38191i	−0.276071	−	0.961137i	$-0.589032\pi$
$887$	2.14491e26	−	4.69669e26i	0.631096	−	1.38191i	0.907167	−	0.420771i	$-0.138240\pi$
$888$	6.73414e25	−	9.68223e24i	0.196140	−	0.0282006i
$889$	8.46641e25	−	7.33619e25i	0.244109	−	0.211522i
$890$	2.04715e26	+	4.48264e26i	0.584306	+	1.27945i
$891$	−3.35730e26	−	5.22406e26i	−0.948616	−	1.47608i
$892$	−2.33656e25	+	1.62511e26i	−0.0653570	+	0.454568i
$893$	5.99024e24	−	9.32099e24i	0.0165875	−	0.0258107i
$894$	4.76452e24	+	4.12848e24i	0.0130612	+	0.0113176i
$895$	−6.48768e25	+	2.20950e26i	−0.176069	+	0.599635i
$896$			1.53655e26i			0.412833i
$897$	−3.52498e25	−	6.92730e23i	−0.0937616	−	0.00184261i
$898$	−2.06450e26			−0.543660
$899$	4.97856e26	+	1.46184e26i	1.29797	+	0.381120i
$900$	5.04163e26	−	5.81835e26i	1.30133	−	1.50182i
$901$	−2.94452e26	−	1.89233e26i	−0.752474	−	0.483586i
$902$	2.60013e26	+	3.73842e25i	0.657864	+	0.0945866i
$903$	−3.15389e25	+	2.02688e25i	−0.0790053	+	0.0507736i
$904$	1.41005e26	−	6.43949e25i	0.349719	−	0.159711i
$905$	−2.22769e26	−	2.57090e26i	−0.547039	−	0.631317i
$906$	4.09499e24	+	2.84812e25i	0.00995631	+	0.0692477i
$907$	−1.85513e26	−	8.47210e25i	−0.446590	−	0.203951i	0.179409	−	0.983775i	$-0.442581\pi$
$907$	−1.85513e26	−	8.47210e25i	−0.446590	−	0.203951i	−0.625999	+	0.779824i	$0.715309\pi$
$908$	1.38927e26	+	4.73142e26i	0.331142	+	1.12777i
$909$	2.34203e26	−	6.87683e25i	0.552737	−	0.162298i
$910$	−4.66616e25	+	1.02175e26i	−0.109040	+	0.238765i
$911$	7.13787e26	−	1.02627e26i	1.65159	−	0.237463i	0.747334	−	0.664448i	$-0.231333\pi$
$911$	7.13787e26	−	1.02627e26i	1.65159	−	0.237463i	0.904259	+	0.426985i	$0.140424\pi$
$912$	−5.93214e24	+	5.14022e24i	−0.0135912	+	0.0117768i
$913$	2.90286e26	+	6.35638e26i	0.658551	+	1.44203i
$914$	−1.98916e26	−	3.09519e26i	−0.446842	−	0.695300i
$915$	2.28090e25	−	1.58640e26i	0.0507359	−	0.352876i
$916$	2.05607e26	−	3.19931e26i	0.452876	−	0.704688i
$917$	−1.53839e26	−	1.33302e26i	−0.335539	−	0.290746i
$918$	1.25169e25	−	4.26285e25i	0.0270341	−	0.0920696i
$919$			1.09024e26i			0.233176i	0.993180	+	0.116588i	$0.0371957\pi$
$919$			1.09024e26i			0.233176i	−0.993180	+	0.116588i	$0.962804\pi$
$920$	−7.95849e26	+	9.85075e25i	−1.68555	+	0.208631i
$921$	−4.85451e25			−0.101814
$922$	2.35693e26	+	6.92058e25i	0.489518	+	0.143735i
$923$	−8.54817e25	+	9.86511e25i	−0.175816	+	0.202902i
$924$	4.04887e25	+	2.60205e25i	0.0824682	+	0.0529991i
$925$	−1.94134e27	−	2.79122e26i	−3.91585	−	0.563014i
$926$	−6.68509e25	+	4.29624e25i	−0.133539	+	0.0858203i
$927$	2.34918e26	−	1.07283e26i	0.464728	−	0.212234i
$928$	3.45432e26	+	3.98650e26i	0.676755	+	0.781016i
$929$	1.01358e26	+	7.04958e26i	0.196659	+	1.36780i	0.813892	+	0.581016i	$0.197345\pi$
$929$	1.01358e26	+	7.04958e26i	0.196659	+	1.36780i	−0.617233	+	0.786781i	$0.711746\pi$
$930$	−9.66708e25	−	4.41481e25i	−0.185759	−	0.0848331i
$931$	4.51970e25	+	1.53927e26i	0.0860126	+	0.292932i
$932$	−3.88736e26	+	1.14143e26i	−0.732675	+	0.215133i
$933$	2.85953e24	−	6.26149e24i	0.00533776	−	0.0116881i
$934$	4.52258e25	−	6.50249e24i	0.0836112	−	0.0120215i
$935$	9.34939e26	−	8.10130e26i	1.71190	−	1.48337i
$936$	1.18667e26	+	2.59845e26i	0.215203	+	0.471229i
$937$	2.69674e26	+	4.19621e26i	0.484376	+	0.753705i	0.994312	−	0.106508i	$-0.0339670\pi$
$937$	2.69674e26	+	4.19621e26i	0.484376	+	0.753705i	−0.509935	+	0.860213i	$0.670331\pi$
$938$	−6.72100e24	+	4.67456e25i	−0.0119566	+	0.0831601i
$939$	−8.46256e25	+	1.31680e26i	−0.149112	+	0.232022i
$940$	−5.01736e25	−	4.34757e25i	−0.0875639	−	0.0758745i
$941$	2.38474e26	−	8.12168e26i	0.412225	−	1.40391i	−0.448017	−	0.894025i	$-0.647870\pi$
$941$	2.38474e26	−	8.12168e26i	0.412225	−	1.40391i	0.860242	−	0.509885i	$-0.170312\pi$
$942$			1.00244e25i			0.0171632i
$943$	−3.41818e26	−	2.29287e26i	−0.579683	−	0.388842i
$944$	−1.02995e26			−0.173008
$945$	−1.52873e26	−	4.48875e25i	−0.254357	−	0.0746861i
$946$	5.11369e26	−	5.90151e26i	0.842779	−	0.972619i
$947$	−6.95197e26	−	4.46776e26i	−1.13490	−	0.729357i	−0.168324	−	0.985732i	$-0.553836\pi$
$947$	−6.95197e26	−	4.46776e26i	−1.13490	−	0.729357i	−0.966578	+	0.256374i	$0.917472\pi$
$948$	1.24086e26	+	1.78409e25i	0.200654	+	0.0288497i
$949$	1.92947e25	−	1.24000e25i	0.0309060	−	0.0198621i
$950$	−3.00661e26	+	1.37307e26i	−0.477050	+	0.217862i
$951$	−2.50724e25	−	2.89351e25i	−0.0394068	−	0.0454779i
$952$	−2.23100e25	−	1.55169e26i	−0.0347350	−	0.241587i
$953$	−1.67301e26	−	7.64036e25i	−0.258025	−	0.117836i	0.282203	−	0.959355i	$-0.408935\pi$
$953$	−1.67301e26	−	7.64036e25i	−0.258025	−	0.117836i	−0.540228	+	0.841519i	$0.681662\pi$
$954$	−1.30649e26	−	4.44948e26i	−0.199604	−	0.679789i
$955$	1.55423e27	−	4.56362e26i	2.35225	−	0.690684i
$956$	−2.06401e26	+	4.51954e26i	−0.309450	+	0.677600i
$957$	1.95970e26	−	2.81762e25i	0.291059	−	0.0418480i
$958$	1.98099e26	−	1.71654e26i	0.291469	−	0.252560i
$959$	1.15997e26	+	2.53999e26i	0.169075	+	0.370223i
$960$	−2.43396e25	−	3.78731e25i	−0.0351456	−	0.0546877i
$961$	−8.21853e25	+	5.71612e26i	−0.117567	+	0.817693i
$962$	1.68143e26	−	2.61636e26i	0.238289	−	0.370784i
$963$	1.46044e26	+	1.26548e26i	0.205044	+	0.177672i
$964$	2.00279e26	−	6.82088e26i	0.278575	−	0.948739i
$965$		−	6.51505e25i		−	0.0897784i
$966$	1.34325e25	+	2.18331e25i	0.0183385	+	0.0298072i
$967$	−1.01383e27			−1.37129			−0.685643	−	0.727938i	$-0.740479\pi$
$967$	−1.01383e27			−1.37129			−0.685643	+	0.727938i	$0.740479\pi$
$968$	−1.62091e27	−	4.75942e26i	−2.17210	−	0.637787i
$969$	1.81488e25	−	2.09448e25i	0.0240954	−	0.0278075i
$970$	−5.36000e26	−	3.44466e26i	−0.705049	−	0.453108i
$971$	−3.65139e25	−	5.24991e24i	−0.0475867	−	0.00684194i	0.118480	−	0.992956i	$-0.462198\pi$
$971$	−3.65139e25	−	5.24991e24i	−0.0475867	−	0.00684194i	−0.166067	+	0.986114i	$0.553107\pi$
$972$	−2.19403e26	+	1.41002e26i	−0.283299	+	0.182065i
$973$	3.16956e26	−	1.44749e26i	0.405493	−	0.185183i
$974$	−1.28753e26	−	1.48589e26i	−0.163203	−	0.188346i
$975$	2.89957e25	+	2.01669e26i	0.0364159	+	0.253278i
$976$	−2.63434e26	−	1.20306e26i	−0.327811	−	0.149706i
$977$	1.42788e26	+	4.86290e26i	0.176051	+	0.599576i	0.999483	+	0.0321599i	$0.0102386\pi$
$977$	1.42788e26	+	4.86290e26i	0.176051	+	0.599576i	−0.823431	+	0.567416i	$0.807943\pi$
$978$	5.74905e25	−	1.68807e25i	0.0702339	−	0.0206225i
$979$	9.38267e26	−	2.05452e27i	1.13575	−	2.48694i
$980$	9.51462e26	−	1.36800e26i	1.14119	−	0.164078i
$981$	−4.42410e26	+	3.83351e26i	−0.525780	+	0.455591i
$982$	−1.72790e26	−	3.78357e26i	−0.203477	−	0.445552i
$983$	−3.35145e26	−	5.21496e26i	−0.391067	−	0.608513i	0.588772	−	0.808299i	$-0.299612\pi$
$983$	−3.35145e26	−	5.21496e26i	−0.391067	−	0.608513i	−0.979839	+	0.199786i	$0.935975\pi$
$984$	1.17421e25	−	8.16680e25i	0.0135766	−	0.0944270i
$985$	−6.06116e26	+	9.43135e26i	−0.694432	+	1.08056i
$986$	−2.08281e26	−	1.80477e26i	−0.236460	−	0.204894i
$987$	−1.39902e24	+	4.76463e24i	−0.00157388	+	0.00536013i
$988$			1.54190e26i			0.171888i
$989$	−1.12275e27	+	4.86312e26i	−1.24027	+	0.537215i
$990$	1.63902e27			1.79419
$991$	7.55090e26	+	2.21714e26i	0.819098	+	0.240509i	0.664327	−	0.747442i	$-0.268718\pi$
$991$	7.55090e26	+	2.21714e26i	0.819098	+	0.240509i	0.154770	+	0.987950i	$0.450536\pi$
$992$	−8.49839e26	+	9.80767e26i	−0.913549	+	1.05429i
$993$	5.77086e25	+	3.70871e25i	0.0614748	+	0.0395075i
$994$	9.39423e25	+	1.35069e25i	0.0991708	+	0.0142586i
$995$	6.77529e26	−	4.35421e26i	0.708794	−	0.455514i
$996$	8.53229e25	−	3.89656e25i	0.0884568	−	0.0403969i
$997$	−5.43525e26	−	6.27261e26i	−0.558422	−	0.644454i	0.404402	−	0.914581i	$-0.367480\pi$
$997$	−5.43525e26	−	6.27261e26i	−0.558422	−	0.644454i	−0.962825	+	0.270127i	$0.912934\pi$
$998$	−4.00266e25	−	2.78391e26i	−0.0407543	−	0.283453i
$999$	4.01280e26	+	1.83258e26i	0.404909	+	0.184916i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	23.19.d.a.5.14	✓	350
23.14	odd	22	inner	23.19.d.a.14.14	yes	350

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.19.d.a.5.14	✓	350	1.1	even	1	trivial
23.19.d.a.14.14	yes	350	23.14	odd	22	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:	\( N \)	\(=\)	\( 23 \)
Weight:	\( k \)	\(=\)	\( 19 \)
Character orbit:	\([\chi]\)	\(=\)	23.d (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-247.435 - 72.6536i) q^{2} +(-2002.81 + 2311.37i) q^{3} +(-164584. - 105772. i) q^{4} +(3.73299e6 + 536723. i) q^{5} +(663496. - 426403. i) q^{6} +(1.64144e7 - 7.49620e6i) q^{7} +(7.73091e7 + 8.92195e7i) q^{8} +(5.38045e7 + 3.74219e8i) q^{9} +(-8.84679e8 - 4.04020e8i) q^{10} +(1.25584e9 + 4.27699e9i) q^{11} +(5.74108e8 - 1.68573e8i) q^{12} +(2.65877e9 - 5.82189e9i) q^{13} +(-4.60612e9 + 6.62261e8i) q^{14} +(-8.71706e9 + 7.55337e9i) q^{15} +(8.65816e9 + 1.89587e10i) q^{16} +(-3.97848e10 - 6.19064e10i) q^{17} +(1.38752e10 - 9.65040e10i) q^{18} +(6.65744e10 - 1.03592e11i) q^{19} +(-5.57620e11 - 4.83181e11i) q^{20} +(-1.55485e10 + 5.29532e10i) q^{21} -1.14952e12i q^{22} +(-7.80273e11 + 1.62337e12i) q^{23} -3.61055e11 q^{24} +(9.98699e12 + 2.93244e12i) q^{25} +(-1.08085e12 + 1.24737e12i) q^{26} +(-1.96950e12 - 1.26572e12i) q^{27} +(-3.49443e12 - 5.02423e11i) q^{28} +(-1.22172e13 + 7.85150e12i) q^{29} +(2.70569e12 - 1.23565e12i) q^{30} +(-2.33974e13 - 2.70020e13i) q^{31} +(-5.16916e12 - 3.59523e13i) q^{32} +(-1.24009e13 - 5.66331e12i) q^{33} +(5.34645e12 + 1.82083e13i) q^{34} +(6.52982e13 - 1.91733e13i) q^{35} +(3.07264e13 - 6.72813e13i) q^{36} +(-1.86513e14 + 2.68165e13i) q^{37} +(-2.39992e13 + 2.07954e13i) q^{38} +(8.13153e12 + 1.78056e13i) q^{39} +(2.40708e14 + 3.74549e14i) q^{40} +(-3.25216e13 + 2.26193e14i) q^{41} +(7.69448e12 - 1.19728e13i) q^{42} +(5.13389e14 + 4.44854e14i) q^{43} +(2.45694e14 - 8.36756e14i) q^{44} +1.42583e15i q^{45} +(3.11011e14 - 3.44989e14i) q^{46} +8.99782e13 q^{47} +(-6.11613e13 - 1.79586e13i) q^{48} +(-8.53145e14 + 9.84582e14i) q^{49} +(-2.25808e15 - 1.45118e15i) q^{50} +(2.22770e14 + 3.20295e13i) q^{51} +(-1.05338e15 + 6.76967e14i) q^{52} +(4.32658e15 - 1.97588e15i) q^{53} +(3.95365e14 + 4.56276e14i) q^{54} +(2.39247e15 + 1.66400e16i) q^{55} +(1.93779e15 + 8.84958e14i) q^{56} +(1.06103e14 + 3.61353e14i) q^{57} +(3.59340e15 - 1.05512e15i) q^{58} +(-2.05283e15 + 4.49508e15i) q^{59} +(2.23362e15 - 3.21146e14i) q^{60} +(-1.05013e16 + 9.09939e15i) q^{61} +(3.82754e15 + 8.38115e15i) q^{62} +(3.68838e15 + 5.73924e15i) q^{63} +(-5.55472e14 + 3.86339e15i) q^{64} +(1.30499e16 - 2.03061e16i) q^{65} +(2.65697e15 + 2.30227e15i) q^{66} +(2.85918e15 - 9.73748e15i) q^{67} +1.43969e16i q^{68} +(-2.18947e15 - 5.05481e15i) q^{69} -1.75501e16 q^{70} +(-1.95690e16 - 5.74596e15i) q^{71} +(-2.92280e16 + 3.37309e16i) q^{72} +(3.01467e15 + 1.93741e15i) q^{73} +(4.80982e16 + 6.91547e15i) q^{74} +(-2.67800e16 + 1.72105e16i) q^{75} +(-2.19141e16 + 1.00078e16i) q^{76} +(5.26750e16 + 6.07902e16i) q^{77} +(-7.18390e14 - 4.99651e15i) q^{78} +(1.90581e17 + 8.70354e16i) q^{79} +(2.21452e16 + 7.54198e16i) q^{80} +(-1.33668e17 + 3.92484e16i) q^{81} +(2.44807e16 - 5.36053e16i) q^{82} +(1.55169e17 - 2.23099e16i) q^{83} +(8.15997e15 - 7.07066e15i) q^{84} +(-1.15290e17 - 2.52450e17i) q^{85} +(-9.47103e16 - 1.47372e17i) q^{86} +(6.32100e15 - 4.39635e16i) q^{87} +(-2.84503e17 + 4.42695e17i) q^{88} +(-3.82936e17 - 3.31816e17i) q^{89} +(1.03592e17 - 3.52802e17i) q^{90} -1.15493e17i q^{91} +(3.00127e17 - 1.84650e17i) q^{92} +1.09272e17 q^{93} +(-2.22638e16 - 6.53723e15i) q^{94} +(3.04122e17 - 3.50975e17i) q^{95} +(9.34520e16 + 6.00580e16i) q^{96} +(6.48447e17 + 9.32327e16i) q^{97} +(2.82632e17 - 1.81636e17i) q^{98} +(-1.53296e18 + 7.00079e17i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 350 q - 179 q^{2} + 20119 q^{3} - 4092083 q^{4} - 11 q^{5} - 2318126 q^{6} - 11 q^{7} - 18825206 q^{8} - 4214797052 q^{9} - 11 q^{10} - 11 q^{11} + 5321755786 q^{12} + 655768935 q^{13} - 11 q^{14} + 253448904621 q^{15}+ \cdots - 95\!\cdots\!51 q^{99}+O(q^{100}) \) 350 * q - 179 * q^2 + 20119 * q^3 - 4092083 * q^4 - 11 * q^5 - 2318126 * q^6 - 11 * q^7 - 18825206 * q^8 - 4214797052 * q^9 - 11 * q^10 - 11 * q^11 + 5321755786 * q^12 + 655768935 * q^13 - 11 * q^14 + 253448904621 * q^15 - 121059691035 * q^16 - 296340696091 * q^17 + 845128269786 * q^18 + 34950057109 * q^19 - 4104516534283 * q^20 + 5306405877949 * q^21 - 8788512317886 * q^23 + 16248757876058 * q^24 + 15898871892338 * q^25 - 12820353995934 * q^26 - 13015455785135 * q^27 + 105657239863285 * q^28 + 24125383566071 * q^29 - 190975720579083 * q^30 + 21755707682535 * q^31 - 243907502265099 * q^32 + 261034241184453 * q^33 - 129972082436273 * q^34 - 266152601718391 * q^35 + 559915831168033 * q^36 + 428874756612181 * q^37 - 1776255039233686 * q^38 + 549617987179705 * q^39 + 3407519671874989 * q^40 + 453667246412903 * q^41 - 6199000632151481 * q^42 + 1284249744062989 * q^43 + 7033574851458386 * q^44 - 11529170898896835 * q^46 - 2752011365749412 * q^47 + 7346362951210082 * q^48 + 14923872408166082 * q^49 - 8729688416622456 * q^50 - 15827415309093971 * q^51 - 11781732119049248 * q^52 + 10327001802201029 * q^53 + 16483884134652258 * q^54 - 6495140540052155 * q^55 - 112789689088256488 * q^56 + 79316406647596261 * q^57 + 80750695224012275 * q^58 - 103310090431970893 * q^59 + 56789760614471819 * q^60 + 64312558011025621 * q^61 + 78525812725681666 * q^62 - 56271156969207411 * q^63 - 224715274461002686 * q^64 - 45304722356970395 * q^65 + 206405045580983832 * q^66 + 65297330513632789 * q^67 - 143603139268291161 * q^69 - 403103996477716918 * q^70 - 7242816485765057 * q^71 + 620604439361873263 * q^72 + 69596528836762215 * q^73 + 102815849039067692 * q^74 + 116102034703195999 * q^75 - 930398829208773122 * q^76 - 693643966535804563 * q^77 + 2957501787035331408 * q^78 + 960132297145477093 * q^79 - 2513912900105850122 * q^80 - 3453140773055113594 * q^81 + 841776961191439844 * q^82 + 2134251156441149669 * q^83 + 1875963344476894475 * q^84 - 2497986830714303135 * q^85 - 709961756623859245 * q^86 - 2620179835179103895 * q^87 + 746914657235259645 * q^88 + 2323216414828777369 * q^89 + 6947866797842083322 * q^90 - 2374143188353425254 * q^92 - 8687469182791611658 * q^93 - 3156566639060022579 * q^94 + 1273876168349301101 * q^95 + 19129033188570894661 * q^96 + 2956262222729055625 * q^97 - 5708307230013551083 * q^98 - 9593810550169008251 * q^99

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