LMFDB - Embedded newform 155.2.q.b.76.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [155,2,Mod(41,155)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(155, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([0, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("155.41"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.q (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [40,2] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$1.23768123133$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			76.5
Character	$\chi$	$=$	155.76
Dual form			155.2.q.b.51.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.809678 - 2.49193i) q^{2} +(0.697102 - 0.774210i) q^{3} +(-3.93612 - 2.85976i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(-1.36485 - 2.36399i) q^{6} +(0.0288113 - 0.274121i) q^{7} +(-6.07379 + 4.41287i) q^{8} +(0.200135 + 1.90416i) q^{9} +(1.75324 + 1.94717i) q^{10} +(5.51136 - 2.45382i) q^{11} +(-4.95793 + 1.05384i) q^{12} +(-2.02360 - 0.430130i) q^{13} +(-0.659763 - 0.293745i) q^{14} +(0.321935 + 0.990813i) q^{15} +(3.07183 + 9.45411i) q^{16} +(-0.659928 - 0.293819i) q^{17} +(4.90708 + 1.04303i) q^{18} +(5.42696 - 1.15353i) q^{19} +(4.44468 - 1.97890i) q^{20} +(-0.192143 - 0.213396i) q^{21} +(-1.65232 - 15.7207i) q^{22} +(-6.30712 + 4.58239i) q^{23} +(-0.817564 + 7.77860i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-2.71032 + 4.69442i) q^{26} +(4.14224 + 3.00951i) q^{27} +(-0.897324 + 0.996579i) q^{28} +(-0.587061 + 1.80679i) q^{29} +2.72970 q^{30} +(-4.60064 + 3.13594i) q^{31} +11.0310 q^{32} +(1.94221 - 5.97751i) q^{33} +(-1.26651 + 1.40660i) q^{34} +(0.222990 + 0.162012i) q^{35} +(4.65768 - 8.06734i) q^{36} +(1.14526 + 1.98364i) q^{37} +(1.51956 - 14.4576i) q^{38} +(-1.74367 + 1.26685i) q^{39} +(-0.784760 - 7.46649i) q^{40} +(-2.69305 - 2.99093i) q^{41} +(-0.687342 + 0.306025i) q^{42} +(5.21434 - 1.10834i) q^{43} +(-28.7107 - 6.10265i) q^{44} +(-1.74912 - 0.778758i) q^{45} +(6.31228 + 19.4272i) q^{46} +(-0.456679 - 1.40551i) q^{47} +(9.46084 + 4.21224i) q^{48} +(6.77272 + 1.43959i) q^{49} +(-2.56292 + 0.544765i) q^{50} +(-0.687514 + 0.306101i) q^{51} +(6.73508 + 7.48006i) q^{52} +(-0.535192 - 5.09201i) q^{53} +(10.8534 - 7.88545i) q^{54} +(-0.630613 + 5.99989i) q^{55} +(1.03466 + 1.79209i) q^{56} +(2.89006 - 5.00573i) q^{57} +(4.02707 + 2.92584i) q^{58} +(-10.0203 + 11.1287i) q^{59} +(1.56631 - 4.82061i) q^{60} +5.29207 q^{61} +(4.08952 + 14.0036i) q^{62} +0.527736 q^{63} +(2.78788 - 8.58023i) q^{64} +(1.38431 - 1.53743i) q^{65} +(-13.3230 - 9.67972i) q^{66} +(-5.13260 + 8.88993i) q^{67} +(1.75730 + 3.04374i) q^{68} +(-0.848972 + 8.07743i) q^{69} +(0.584272 - 0.424499i) q^{70} +(-1.06009 - 10.0861i) q^{71} +(-9.61838 - 10.6823i) q^{72} +(-8.53154 + 3.79849i) q^{73} +(5.87039 - 1.24779i) q^{74} +(-1.01904 - 0.216603i) q^{75} +(-24.6600 - 10.9793i) q^{76} +(-0.513853 - 1.58148i) q^{77} +(1.74509 + 5.37085i) q^{78} +(11.4428 + 5.09464i) q^{79} +(-9.72341 - 2.06677i) q^{80} +(-0.400868 + 0.0852070i) q^{81} +(-9.63370 + 4.28920i) q^{82} +(-8.64870 - 9.60535i) q^{83} +(0.146035 + 1.38943i) q^{84} +(0.584418 - 0.424605i) q^{85} +(1.46002 - 13.8912i) q^{86} +(0.989592 + 1.71402i) q^{87} +(-22.6465 + 39.2249i) q^{88} +(-3.07495 - 2.23408i) q^{89} +(-3.35684 + 3.72814i) q^{90} +(-0.176210 + 0.542319i) q^{91} +37.9301 q^{92} +(-0.779237 + 5.74793i) q^{93} -3.87221 q^{94} +(-1.71449 + 5.27665i) q^{95} +(7.68971 - 8.54029i) q^{96} +(-2.94235 - 2.13774i) q^{97} +(9.07108 - 15.7116i) q^{98} +(5.77547 + 10.0034i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q + 2 q^{2} + 3 q^{3} - 2 q^{4} - 20 q^{5} - 12 q^{6} - 2 q^{7} - 31 q^{8} + 6 q^{9} - q^{10} + 16 q^{11} - q^{12} + 2 q^{13} - 10 q^{14} - 6 q^{15} - 16 q^{16} + 4 q^{17} + 37 q^{18} - 9 q^{19} + q^{20}+ \cdots + 17 q^{99}+O(q^{100}) $ 40 * q + 2 * q^2 + 3 * q^3 - 2 * q^4 - 20 * q^5 - 12 * q^6 - 2 * q^7 - 31 * q^8 + 6 * q^9 - q^10 + 16 * q^11 - q^12 + 2 * q^13 - 10 * q^14 - 6 * q^15 - 16 * q^16 + 4 * q^17 + 37 * q^18 - 9 * q^19 + q^20 - 24 * q^21 - 2 * q^22 - 4 * q^23 + 110 * q^24 - 20 * q^25 - 4 * q^26 - 9 * q^27 + 38 * q^28 - 22 * q^29 + 24 * q^30 - 6 * q^31 - 60 * q^32 + 9 * q^33 - 16 * q^34 + 4 * q^35 - q^36 - 38 * q^37 - 32 * q^38 - 55 * q^39 + 8 * q^40 - 24 * q^41 - 68 * q^42 + 26 * q^43 - 52 * q^44 + 6 * q^45 - 50 * q^46 + 4 * q^47 + 105 * q^48 + 93 * q^49 - q^50 - 42 * q^51 + 15 * q^52 + 13 * q^53 + 102 * q^54 + q^55 + 5 * q^56 - 36 * q^57 - 37 * q^58 + 31 * q^59 + 17 * q^60 + 68 * q^61 + 47 * q^62 - 10 * q^63 - 23 * q^64 + 2 * q^65 - 2 * q^67 - 28 * q^68 - 48 * q^69 - 10 * q^70 - 30 * q^71 + 39 * q^72 + 25 * q^73 + 50 * q^74 + 3 * q^75 + 14 * q^76 - 64 * q^77 - 22 * q^78 + 49 * q^79 - 7 * q^80 + 25 * q^81 - 66 * q^82 - 18 * q^83 - 18 * q^84 + 7 * q^85 + 163 * q^86 - 36 * q^87 - 124 * q^88 + 4 * q^89 - 23 * q^90 - 37 * q^91 + 110 * q^92 + 7 * q^93 - 94 * q^94 - 12 * q^95 + 22 * q^96 + 46 * q^97 - 13 * q^98 + 17 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/155\mathbb{Z}\right)^\times$.

$n$	$32$	$96$
$\chi(n)$	$1$	$e\left(\frac{11}{15}\right)$

Coefficient data

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

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

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

$2$	0.809678	−	2.49193i	0.572529	−	1.76206i	−0.0719140	−	0.997411i	$-0.522911\pi$
$2$	0.809678	−	2.49193i	0.572529	−	1.76206i	0.644443	−	0.764652i	$-0.277089\pi$
$3$	0.697102	−	0.774210i	0.402472	−	0.446990i	−0.507505	−	0.861649i	$-0.669432\pi$
$3$	0.697102	−	0.774210i	0.402472	−	0.446990i	0.909977	+	0.414658i	$0.136099\pi$
$4$	−3.93612	−	2.85976i	−1.96806	−	1.42988i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$5$	−0.500000	+	0.866025i	−0.223607	+	0.387298i
$6$	−1.36485	−	2.36399i	−0.557198	−	0.965096i
$7$	0.0288113	−	0.274121i	0.0108896	−	0.103608i	−0.987727	−	0.156191i	$-0.950079\pi$
$7$	0.0288113	−	0.274121i	0.0108896	−	0.103608i	0.998617	+	0.0525826i	$0.0167453\pi$
$8$	−6.07379	+	4.41287i	−2.14741	+	1.56018i
$9$	0.200135	+	1.90416i	0.0667117	+	0.634720i
$10$	1.75324	+	1.94717i	0.554423	+	0.615749i
$11$	5.51136	−	2.45382i	1.66174	−	0.739853i	0.661786	−	0.749693i	$-0.269799\pi$
$11$	5.51136	−	2.45382i	1.66174	−	0.739853i	0.999952	+	0.00983944i	$0.00313204\pi$
$12$	−4.95793	+	1.05384i	−1.43123	+	0.304218i
$13$	−2.02360	−	0.430130i	−0.561247	−	0.119297i	−0.0814516	−	0.996677i	$-0.525956\pi$
$13$	−2.02360	−	0.430130i	−0.561247	−	0.119297i	−0.479795	+	0.877381i	$0.659289\pi$
$14$	−0.659763	−	0.293745i	−0.176329	−	0.0785067i
$15$	0.321935	+	0.990813i	0.0831231	+	0.255827i
$16$	3.07183	+	9.45411i	0.767957	+	2.36353i
$17$	−0.659928	−	0.293819i	−0.160056	−	0.0712615i	0.325145	−	0.945664i	$-0.394587\pi$
$17$	−0.659928	−	0.293819i	−0.160056	−	0.0712615i	−0.485201	+	0.874403i	$0.661254\pi$
$18$	4.90708	+	1.04303i	1.15661	+	0.245845i
$19$	5.42696	−	1.15353i	1.24503	−	0.264639i	0.462144	−	0.886805i	$-0.347080\pi$
$19$	5.42696	−	1.15353i	1.24503	−	0.264639i	0.782885	+	0.622166i	$0.213747\pi$
$20$	4.44468	−	1.97890i	0.993862	−	0.442496i
$21$	−0.192143	−	0.213396i	−0.0419290	−	0.0465668i
$22$	−1.65232	−	15.7207i	−0.352275	−	3.35167i
$23$	−6.30712	+	4.58239i	−1.31513	+	0.955495i	−0.315147	+	0.949043i	$0.602054\pi$
$23$	−6.30712	+	4.58239i	−1.31513	+	0.955495i	−0.999979	+	0.00645187i	$0.997946\pi$
$24$	−0.817564	+	7.77860i	−0.166885	+	1.58780i
$25$	−0.500000	−	0.866025i	−0.100000	−	0.173205i
$26$	−2.71032	+	4.69442i	−0.531538	+	0.920651i
$27$	4.14224	+	3.00951i	0.797175	+	0.579181i
$28$	−0.897324	+	0.996579i	−0.169578	+	0.188336i
$29$	−0.587061	+	1.80679i	−0.109015	+	0.335512i	−0.990652	−	0.136416i	$-0.956442\pi$
$29$	−0.587061	+	1.80679i	−0.109015	+	0.335512i	0.881637	+	0.471928i	$0.156442\pi$
$30$	2.72970			0.498373
$31$	−4.60064	+	3.13594i	−0.826299	+	0.563232i
$31$	−4.60064	+	3.13594i	−0.826299	+	0.563232i
$32$	11.0310			1.95002
$33$	1.94221	−	5.97751i	0.338095	−	1.04055i
$34$	−1.26651	+	1.40660i	−0.217204	+	0.241229i
$35$	0.222990	+	0.162012i	0.0376922	+	0.0273850i
$36$	4.65768	−	8.06734i	0.776280	−	1.34456i
$37$	1.14526	+	1.98364i	0.188279	+	0.326109i	0.944676	−	0.328004i	$-0.106376\pi$
$37$	1.14526	+	1.98364i	0.188279	+	0.326109i	−0.756398	+	0.654112i	$0.773042\pi$
$38$	1.51956	−	14.4576i	0.246504	−	2.34533i
$39$	−1.74367	+	1.26685i	−0.279210	+	0.202858i
$40$	−0.784760	−	7.46649i	−0.124081	−	1.18056i
$41$	−2.69305	−	2.99093i	−0.420583	−	0.467105i	0.495199	−	0.868779i	$-0.335095\pi$
$41$	−2.69305	−	2.99093i	−0.420583	−	0.467105i	−0.915783	+	0.401674i	$0.868428\pi$
$42$	−0.687342	+	0.306025i	−0.106059	+	0.0472206i
$43$	5.21434	−	1.10834i	0.795179	−	0.169021i	0.207628	−	0.978208i	$-0.433426\pi$
$43$	5.21434	−	1.10834i	0.795179	−	0.169021i	0.587551	+	0.809187i	$0.300092\pi$
$44$	−28.7107	−	6.10265i	−4.32830	−	0.920009i
$45$	−1.74912	−	0.778758i	−0.260743	−	0.116090i
$46$	6.31228	+	19.4272i	0.930695	+	2.86438i
$47$	−0.456679	−	1.40551i	−0.0666135	−	0.205015i	0.912209	−	0.409724i	$-0.134375\pi$
$47$	−0.456679	−	1.40551i	−0.0666135	−	0.205015i	−0.978823	+	0.204709i	$0.934375\pi$
$48$	9.46084	+	4.21224i	1.36555	+	0.607984i
$49$	6.77272	+	1.43959i	0.967532	+	0.205655i
$50$	−2.56292	+	0.544765i	−0.362451	+	0.0770414i
$51$	−0.687514	+	0.306101i	−0.0962712	+	0.0428627i
$52$	6.73508	+	7.48006i	0.933987	+	1.03730i
$53$	−0.535192	−	5.09201i	−0.0735142	−	0.699441i	−0.967762	−	0.251868i	$-0.918955\pi$
$53$	−0.535192	−	5.09201i	−0.0735142	−	0.699441i	0.894247	−	0.447573i	$-0.147712\pi$
$54$	10.8534	−	7.88545i	1.47696	−	1.07307i
$55$	−0.630613	+	5.99989i	−0.0850319	+	0.809024i
$56$	1.03466	+	1.79209i	0.138263	+	0.239478i
$57$	2.89006	−	5.00573i	0.382798	−	0.663026i
$58$	4.02707	+	2.92584i	0.528780	+	0.384181i
$59$	−10.0203	+	11.1287i	−1.30453	+	1.44883i	−0.486468	+	0.873699i	$0.661715\pi$
$59$	−10.0203	+	11.1287i	−1.30453	+	1.44883i	−0.818063	+	0.575129i	$0.804952\pi$
$60$	1.56631	−	4.82061i	0.202210	−	0.622338i
$61$	5.29207			0.677581			0.338790	−	0.940862i	$-0.389982\pi$
$61$	5.29207			0.677581			0.338790	+	0.940862i	$0.389982\pi$
$62$	4.08952	+	14.0036i	0.519369	+	1.77846i
$63$	0.527736			0.0664885
$64$	2.78788	−	8.58023i	0.348486	−	1.07253i
$65$	1.38431	−	1.53743i	0.171702	−	0.190694i
$66$	−13.3230	−	9.67972i	−1.63995	−	1.19149i
$67$	−5.13260	+	8.88993i	−0.627047	+	1.08608i	0.361094	+	0.932530i	$0.382403\pi$
$67$	−5.13260	+	8.88993i	−0.627047	+	1.08608i	−0.988141	+	0.153548i	$0.950930\pi$
$68$	1.75730	+	3.04374i	0.213104	+	0.369108i
$69$	−0.848972	+	8.07743i	−0.102204	+	0.972408i
$70$	0.584272	−	0.424499i	0.0698339	−	0.0507373i
$71$	−1.06009	−	10.0861i	−0.125810	−	1.19700i	−0.857179	−	0.515018i	$-0.827785\pi$
$71$	−1.06009	−	10.0861i	−0.125810	−	1.19700i	0.731370	−	0.681981i	$-0.238881\pi$
$72$	−9.61838	−	10.6823i	−1.13354	−	1.25892i
$73$	−8.53154	+	3.79849i	−0.998541	+	0.444579i	−0.839891	−	0.542755i	$-0.817381\pi$
$73$	−8.53154	+	3.79849i	−0.998541	+	0.444579i	−0.158651	+	0.987335i	$0.550714\pi$
$74$	5.87039	−	1.24779i	0.682419	−	0.145053i
$75$	−1.01904	−	0.216603i	−0.117668	−	0.0250111i
$76$	−24.6600	−	10.9793i	−2.82869	−	1.25942i
$77$	−0.513853	−	1.58148i	−0.0585589	−	0.180226i
$78$	1.74509	+	5.37085i	0.197593	+	0.608129i
$79$	11.4428	+	5.09464i	1.28741	+	0.573192i	0.932318	−	0.361639i	$-0.117783\pi$
$79$	11.4428	+	5.09464i	1.28741	+	0.573192i	0.355092	+	0.934831i	$0.384450\pi$
$80$	−9.72341	−	2.06677i	−1.08711	−	0.231072i
$81$	−0.400868	+	0.0852070i	−0.0445408	+	0.00946745i
$82$	−9.63370	+	4.28920i	−1.06386	+	0.473663i
$83$	−8.64870	−	9.60535i	−0.949318	−	1.05432i	−0.998457	−	0.0555325i	$-0.982314\pi$
$83$	−8.64870	−	9.60535i	−0.949318	−	1.05432i	0.0491389	−	0.998792i	$-0.484352\pi$
$84$	0.146035	+	1.38943i	0.0159338	+	0.151600i
$85$	0.584418	−	0.424605i	0.0633891	−	0.0460549i
$86$	1.46002	−	13.8912i	0.157438	−	1.49793i
$87$	0.989592	+	1.71402i	0.106095	+	0.183763i
$88$	−22.6465	+	39.2249i	−2.41412	+	4.18138i
$89$	−3.07495	−	2.23408i	−0.325944	−	0.236812i	0.412764	−	0.910838i	$-0.364563\pi$
$89$	−3.07495	−	2.23408i	−0.325944	−	0.236812i	−0.738707	+	0.674026i	$0.764563\pi$
$90$	−3.35684	+	3.72814i	−0.353842	+	0.392981i
$91$	−0.176210	+	0.542319i	−0.0184718	+	0.0568505i
$92$	37.9301			3.95449
$93$	−0.779237	+	5.74793i	−0.0808031	+	0.596033i
$94$	−3.87221			−0.399388
$95$	−1.71449	+	5.27665i	−0.175903	+	0.541373i
$96$	7.68971	−	8.54029i	0.784827	−	0.871639i
$97$	−2.94235	−	2.13774i	−0.298750	−	0.217055i	0.428304	−	0.903635i	$-0.359111\pi$
$97$	−2.94235	−	2.13774i	−0.298750	−	0.217055i	−0.727054	+	0.686580i	$0.759111\pi$
$98$	9.07108	−	15.7116i	0.916317	−	1.58711i
$99$	5.77547	+	10.0034i	0.580457	+	1.00538i
$100$	−0.508564	+	4.83866i	−0.0508564	+	0.483866i
$101$	−11.5426	+	8.38616i	−1.14853	+	0.834454i	−0.988284	−	0.152623i	$-0.951228\pi$
$101$	−11.5426	+	8.38616i	−1.14853	+	0.834454i	−0.160243	+	0.987078i	$0.551228\pi$
$102$	0.206118	+	1.96108i	0.0204087	+	0.194176i
$103$	−6.50218	−	7.22141i	−0.640679	−	0.711546i	0.332109	−	0.943241i	$-0.392240\pi$
$103$	−6.50218	−	7.22141i	−0.640679	−	0.711546i	−0.972789	+	0.231694i	$0.925573\pi$
$104$	14.1890	−	6.31737i	1.39135	−	0.619469i
$105$	0.280878	−	0.0597024i	0.0274109	−	0.00582636i
$106$	−13.1223	−	2.78923i	−1.27455	−	0.270914i
$107$	−2.94679	−	1.31199i	−0.284877	−	0.126835i	0.259324	−	0.965790i	$-0.416500\pi$
$107$	−2.94679	−	1.31199i	−0.284877	−	0.126835i	−0.544201	+	0.838955i	$0.683167\pi$
$108$	−7.69787	−	23.6916i	−0.740728	−	2.27973i
$109$	−4.14063	−	12.7436i	−0.396601	−	1.22061i	−0.927708	−	0.373306i	$-0.878224\pi$
$109$	−4.14063	−	12.7436i	−0.396601	−	1.22061i	0.531108	−	0.847304i	$-0.321776\pi$
$110$	14.4407	+	6.42942i	1.37687	+	0.613022i
$111$	2.33411	+	0.496131i	0.221544	+	0.0470907i
$112$	2.68007	−	0.569667i	0.253243	−	0.0538284i
$113$	5.90712	−	2.63002i	0.555695	−	0.247411i	−0.109621	−	0.993973i	$-0.534964\pi$
$113$	5.90712	−	2.63002i	0.555695	−	0.247411i	0.665316	+	0.746562i	$0.268297\pi$
$114$	−10.1339	−	11.2549i	−0.949130	−	1.05412i
$115$	−0.814907	−	7.75332i	−0.0759905	−	0.723001i
$116$	7.47772	−	5.43288i	0.694289	−	0.504431i
$117$	0.414042	−	3.93935i	0.0382782	−	0.364193i
$118$	19.6187	+	33.9805i	1.80604	+	3.12816i
$119$	−0.0995552	+	0.172435i	−0.00912621	+	0.0158071i
$120$	−6.32769	−	4.59733i	−0.577636	−	0.419677i
$121$	16.9934	−	18.8731i	1.54486	−	1.71574i
$122$	4.28488	−	13.1875i	0.387935	−	1.19394i
$123$	−4.19293			−0.378064
$124$	27.0767	+	0.813278i	2.43156	+	0.0730345i
$125$	1.00000			0.0894427
$126$	0.427296	−	1.31508i	0.0380666	−	0.117157i
$127$	4.84578	−	5.38179i	0.429994	−	0.477556i	−0.488743	−	0.872428i	$-0.662544\pi$
$127$	4.84578	−	5.38179i	0.429994	−	0.477556i	0.918736	+	0.394872i	$0.129211\pi$
$128$	−1.27558	−	0.926764i	−0.112746	−	0.0819151i
$129$	2.77684	−	4.80962i	0.244487	−	0.423463i
$130$	−2.71032	−	4.69442i	−0.237711	−	0.411728i
$131$	−0.419013	+	3.98664i	−0.0366093	+	0.348315i	0.960850	+	0.277071i	$0.0893636\pi$
$131$	−0.419013	+	3.98664i	−0.0366093	+	0.348315i	−0.997459	+	0.0712441i	$0.977303\pi$
$132$	−24.7390	+	17.9739i	−2.15325	+	1.56443i
$133$	−0.159850	−	1.52088i	−0.0138608	−	0.131877i
$134$	17.9974	+	19.9881i	1.55474	+	1.72671i
$135$	−4.67744	+	2.08253i	−0.402570	+	0.179236i
$136$	5.30485	−	1.12758i	0.454887	−	0.0966892i
$137$	10.1893	+	2.16579i	0.870528	+	0.185036i	0.621456	−	0.783449i	$-0.286541\pi$
$137$	10.1893	+	2.16579i	0.870528	+	0.185036i	0.249071	+	0.968485i	$0.419875\pi$
$138$	19.4410	+	8.65570i	1.65493	+	0.736822i
$139$	2.53058	+	7.78831i	0.214641	+	0.660596i	0.999179	+	0.0405155i	$0.0129000\pi$
$139$	2.53058	+	7.78831i	0.214641	+	0.660596i	−0.784538	+	0.620080i	$0.787100\pi$
$140$	−0.414401	−	1.27539i	−0.0350233	−	0.107791i
$141$	−1.40651	−	0.626221i	−0.118450	−	0.0527373i
$142$	−25.9922	−	5.52482i	−2.18122	−	0.463632i
$143$	−12.2083	+	2.59495i	−1.02091	+	0.217000i
$144$	−17.3874	+	7.74135i	−1.44895	+	0.645112i
$145$	−1.27119	−	1.41180i	−0.105567	−	0.117244i
$146$	2.55777	+	24.3356i	0.211683	+	2.01403i
$147$	5.83582	−	4.23997i	0.481330	−	0.349707i
$148$	1.16487	−	11.0830i	0.0957518	−	0.911017i
$149$	−9.04023	−	15.6581i	−0.740604	−	1.28276i	−0.952220	−	0.305412i	$-0.901206\pi$
$149$	−9.04023	−	15.6581i	−0.740604	−	1.28276i	0.211616	−	0.977353i	$-0.432127\pi$
$150$	−1.36485	+	2.36399i	−0.111440	+	0.193019i
$151$	9.86755	+	7.16919i	0.803010	+	0.583421i	0.911796	−	0.410644i	$-0.134696\pi$
$151$	9.86755	+	7.16919i	0.803010	+	0.583421i	−0.108786	+	0.994065i	$0.534696\pi$
$152$	−27.8718	+	30.9548i	−2.26070	+	2.51076i
$153$	0.427403	−	1.31541i	0.0345535	−	0.106345i
$154$	−4.35699			−0.351096
$155$	−0.415485	−	5.55224i	−0.0333725	−	0.445967i
$156$	10.4862			0.839566
$157$	0.595918	−	1.83405i	0.0475594	−	0.146373i	−0.924457	−	0.381287i	$-0.875481\pi$
$157$	0.595918	−	1.83405i	0.0475594	−	0.146373i	0.972016	+	0.234914i	$0.0754809\pi$
$158$	21.9605	−	24.3896i	1.74708	−	1.94033i
$159$	−4.31537	−	3.13530i	−0.342231	−	0.248645i
$160$	−5.51548	+	9.55310i	−0.436037	+	0.755239i
$161$	1.07441	+	1.86094i	0.0846756	+	0.146662i
$162$	−0.112244	+	1.06793i	−0.00881868	+	0.0839042i
$163$	8.64396	−	6.28021i	0.677047	−	0.491904i	−0.195329	−	0.980738i	$-0.562578\pi$
$163$	8.64396	−	6.28021i	0.677047	−	0.491904i	0.872377	+	0.488834i	$0.162578\pi$
$164$	2.04681	+	19.4741i	0.159829	+	1.52067i
$165$	4.20557	+	4.67076i	0.327403	+	0.363618i
$166$	−30.9386	+	13.7747i	−2.40130	+	1.06913i
$167$	0.651109	−	0.138397i	0.0503843	−	0.0107095i	−0.182651	−	0.983178i	$-0.558468\pi$
$167$	0.651109	−	0.138397i	0.0503843	−	0.0107095i	0.233035	+	0.972468i	$0.425134\pi$
$168$	2.10872	+	0.448223i	0.162691	+	0.0345811i
$169$	−7.96613	−	3.54675i	−0.612779	−	0.272827i
$170$	−0.584896	−	1.80013i	−0.0448595	−	0.138063i
$171$	3.28264	+	10.1029i	0.251030	+	0.772590i
$172$	−23.6939	−	10.5492i	−1.80664	−	0.804368i
$173$	−9.96634	−	2.11841i	−0.757727	−	0.161060i	−0.187181	−	0.982325i	$-0.559935\pi$
$173$	−9.96634	−	2.11841i	−0.757727	−	0.161060i	−0.570546	+	0.821266i	$0.693268\pi$
$174$	5.07249	−	1.07819i	0.384544	−	0.0817374i
$175$	−0.251801	+	0.112109i	−0.0190344	+	0.00847465i
$176$	40.1286	+	44.5673i	3.02481	+	3.35939i
$177$	1.63076	+	15.5156i	0.122575	+	1.16622i
$178$	−8.05689	+	5.85368i	−0.603890	+	0.438752i
$179$	−0.456750	+	4.34569i	−0.0341391	+	0.324812i	0.964102	+	0.265531i	$0.0855474\pi$
$179$	−0.456750	+	4.34569i	−0.0341391	+	0.324812i	−0.998241	+	0.0592807i	$0.981119\pi$
$180$	4.65768	+	8.06734i	0.347163	+	0.601304i
$181$	8.01076	−	13.8750i	0.595435	−	1.03132i	−0.398051	−	0.917363i	$-0.630313\pi$
$181$	8.01076	−	13.8750i	0.595435	−	1.03132i	0.993485	−	0.113960i	$-0.0363535\pi$
$182$	1.20875	+	0.878208i	0.0895985	+	0.0650971i
$183$	3.68911	−	4.09718i	0.272707	−	0.302872i
$184$	18.0866	−	55.6650i	1.33337	−	4.10368i
$185$	−2.29051			−0.168402
$186$	13.6925	+	6.59578i	1.00398	+	0.483626i
$187$	−4.35808			−0.318694
$188$	−2.22189	+	6.83826i	−0.162048	+	0.498732i
$189$	0.944313	−	1.04877i	0.0686887	−	0.0762865i
$190$	11.7609	+	8.54478i	0.853224	+	0.619903i
$191$	−1.39776	+	2.42099i	−0.101138	+	0.175177i	−0.912154	−	0.409848i	$-0.865582\pi$
$191$	−1.39776	+	2.42099i	−0.101138	+	0.175177i	0.811016	+	0.585024i	$0.198915\pi$
$192$	−4.69946	−	8.13970i	−0.339154	−	0.587432i
$193$	2.70330	−	25.7202i	0.194588	−	1.85138i	−0.266261	−	0.963901i	$-0.585788\pi$
$193$	2.70330	−	25.7202i	0.194588	−	1.85138i	0.460849	−	0.887478i	$-0.347545\pi$
$194$	−7.70947	+	5.60126i	−0.553508	+	0.402147i
$195$	−0.225289	−	2.14349i	−0.0161333	−	0.153498i
$196$	−22.5414	−	25.0347i	−1.61010	−	1.78820i
$197$	10.9293	−	4.86606i	0.778683	−	0.346692i	0.0213934	−	0.999771i	$-0.493190\pi$
$197$	10.9293	−	4.86606i	0.778683	−	0.346692i	0.757290	+	0.653079i	$0.226523\pi$
$198$	29.6041	−	6.29255i	2.10387	−	0.447192i
$199$	5.25673	+	1.11735i	0.372640	+	0.0792071i	0.390425	−	0.920635i	$-0.372328\pi$
$199$	5.25673	+	1.11735i	0.372640	+	0.0792071i	−0.0177849	+	0.999842i	$0.505661\pi$
$200$	6.85855	+	3.05362i	0.484973	+	0.215924i
$201$	3.30473	+	10.1709i	0.233097	+	0.717400i
$202$	11.5520	+	35.5534i	0.812796	+	2.50153i
$203$	0.478364	+	0.212982i	0.0335746	+	0.0149484i
$204$	3.58151	+	0.761274i	0.250756	+	0.0532999i
$205$	3.93674	−	0.836781i	0.274954	−	0.0584433i
$206$	−23.2599	+	10.3560i	−1.62060	+	0.721536i
$207$	−9.98788	−	11.0927i	−0.694206	−	0.770994i
$208$	−2.14966	−	20.4527i	−0.149052	−	1.41814i
$209$	27.0793	−	19.6743i	1.87312	−	1.36090i
$210$	0.0786462	−	0.748268i	0.00542710	−	0.0516354i
$211$	3.31449	+	5.74087i	0.228179	+	0.395218i	0.957268	−	0.289201i	$-0.0933895\pi$
$211$	3.31449	+	5.74087i	0.228179	+	0.395218i	−0.729089	+	0.684419i	$0.760056\pi$
$212$	−12.4553	+	21.5733i	−0.855436	+	1.48166i
$213$	−8.54775	−	6.21030i	−0.585682	−	0.425523i
$214$	−5.65535	+	6.28090i	−0.386592	+	0.429354i
$215$	−1.64732	+	5.06992i	−0.112346	+	0.345766i
$216$	−38.4397			−2.61549
$217$	0.727076	+	1.35148i	0.0493571	+	0.0917445i
$218$	−35.1087			−2.37786
$219$	−3.00653	+	9.25314i	−0.203162	+	0.625269i
$220$	19.6404	−	21.8129i	1.32416	−	1.47062i
$221$	1.20905	+	0.878427i	0.0813296	+	0.0590894i
$222$	3.12621	−	5.41475i	0.209817	−	0.363414i
$223$	6.98864	+	12.1047i	0.467994	+	0.810589i	0.999331	−	0.0365712i	$-0.0116436\pi$
$223$	6.98864	+	12.1047i	0.467994	+	0.810589i	−0.531337	+	0.847160i	$0.678310\pi$
$224$	0.317816	−	3.02382i	0.0212350	−	0.202037i
$225$	1.54898	−	1.12540i	0.103266	−	0.0750268i
$226$	−1.77097	−	16.8496i	−0.117803	−	1.12082i
$227$	−18.2570	−	20.2765i	−1.21176	−	1.34580i	−0.921272	−	0.388919i	$-0.872849\pi$
$227$	−18.2570	−	20.2765i	−1.21176	−	1.34580i	−0.290489	−	0.956878i	$-0.593818\pi$
$228$	−25.6908	+	11.4383i	−1.70142	+	0.757519i
$229$	−12.2191	+	2.59725i	−0.807461	+	0.171631i	−0.593106	−	0.805125i	$-0.702098\pi$
$229$	−12.2191	+	2.59725i	−0.807461	+	0.171631i	−0.214355	+	0.976756i	$0.568765\pi$
$230$	−19.9806	−	4.24700i	−1.31748	−	0.280039i
$231$	−1.58260	−	0.704620i	−0.104128	−	0.0463606i
$232$	−4.40743	−	13.5647i	−0.289362	−	0.890565i
$233$	−1.39102	−	4.28112i	−0.0911287	−	0.280465i	0.895097	−	0.445872i	$-0.147106\pi$
$233$	−1.39102	−	4.28112i	−0.0911287	−	0.280465i	−0.986225	+	0.165407i	$0.947106\pi$
$234$	−9.48135	−	4.22137i	−0.619815	−	0.275960i
$235$	1.44555	+	0.307261i	0.0942973	+	0.0200435i
$236$	71.2663	−	15.1481i	4.63904	−	0.986059i
$237$	11.9211	−	5.30761i	0.774357	−	0.344766i
$238$	0.349088	+	0.387701i	0.0226280	+	0.0251309i
$239$	0.0166762	+	0.158664i	0.00107869	+	0.0102631i	0.995048	−	0.0993955i	$-0.0316909\pi$
$239$	0.0166762	+	0.158664i	0.00107869	+	0.0102631i	−0.993969	+	0.109659i	$0.965024\pi$
$240$	−8.37832	+	6.08721i	−0.540819	+	0.392928i
$241$	−1.35604	+	12.9018i	−0.0873500	+	0.831080i	0.859874	+	0.510507i	$0.170542\pi$
$241$	−1.35604	+	12.9018i	−0.0873500	+	0.831080i	−0.947224	+	0.320573i	$0.896124\pi$
$242$	−33.2714	−	57.6277i	−2.13876	−	3.70445i
$243$	−7.89361	+	13.6721i	−0.506376	+	0.877068i
$244$	−20.8302	−	15.1341i	−1.33352	−	0.968858i
$245$	−4.63308	+	5.14556i	−0.295997	+	0.328737i
$246$	−3.39493	+	10.4485i	−0.216453	+	0.666173i
$247$	−11.4782			−0.730339
$248$	14.1048	−	39.3490i	0.895657	−	2.49867i
$249$	−13.4656			−0.853347
$250$	0.809678	−	2.49193i	0.0512086	−	0.157604i
$251$	4.60151	−	5.11049i	0.290445	−	0.322572i	−0.580209	−	0.814467i	$-0.697029\pi$
$251$	4.60151	−	5.11049i	0.290445	−	0.322572i	0.870654	+	0.491896i	$0.163696\pi$
$252$	−2.07723	−	1.50920i	−0.130853	−	0.0950705i
$253$	−23.5165	+	40.7317i	−1.47847	+	2.56078i
$254$	−9.48753	−	16.4329i	−0.595300	−	1.03109i
$255$	0.0786658	−	0.748455i	0.00492624	−	0.0468701i
$256$	11.2553	−	8.17746i	0.703457	−	0.511091i
$257$	0.889888	+	8.46672i	0.0555097	+	0.528139i	0.986578	+	0.163293i	$0.0522117\pi$
$257$	0.889888	+	8.46672i	0.0555097	+	0.528139i	−0.931068	+	0.364846i	$0.881122\pi$
$258$	−9.73691	−	10.8139i	−0.606194	−	0.673246i
$259$	0.576753	−	0.256787i	0.0358377	−	0.0159560i
$260$	−9.84546	+	2.09272i	−0.610590	+	0.129785i
$261$	−3.55791	−	0.756256i	−0.220229	−	0.0468111i
$262$	9.59518	+	4.27205i	0.592792	+	0.263928i
$263$	9.42128	+	28.9957i	0.580941	+	1.78795i	0.614992	+	0.788533i	$0.289159\pi$
$263$	9.42128	+	28.9957i	0.580941	+	1.78795i	−0.0340509	+	0.999420i	$0.510841\pi$
$264$	14.5814	+	44.8768i	0.897421	+	2.76198i
$265$	4.67740	+	2.08251i	0.287331	+	0.127928i
$266$	−3.91935	−	0.833083i	−0.240311	−	0.0510796i
$267$	−3.87320	+	0.823273i	−0.237036	+	0.0503835i
$268$	45.6256	−	20.3138i	2.78703	−	1.24086i
$269$	−0.633105	−	0.703135i	−0.0386011	−	0.0428709i	0.723535	−	0.690288i	$-0.242516\pi$
$269$	−0.633105	−	0.703135i	−0.0386011	−	0.0428709i	−0.762136	+	0.647417i	$0.775849\pi$
$270$	1.40230	+	13.3420i	0.0853415	+	0.811971i
$271$	10.7357	−	7.79992i	0.652146	−	0.473812i	−0.211856	−	0.977301i	$-0.567951\pi$
$271$	10.7357	−	7.79992i	0.652146	−	0.473812i	0.864001	+	0.503489i	$0.167951\pi$
$272$	0.750611	−	7.14159i	0.0455125	−	0.433022i
$273$	0.297032	+	0.514475i	0.0179772	+	0.0311375i
$274$	13.6470	−	23.6374i	0.824448	−	1.42799i
$275$	−4.88075	−	3.54607i	−0.294320	−	0.213836i
$276$	26.4412	−	29.3659i	1.59157	−	1.76762i
$277$	−5.24375	+	16.1386i	−0.315067	+	0.969675i	0.660660	+	0.750685i	$0.270276\pi$
$277$	−5.24375	+	16.1386i	−0.315067	+	0.969675i	−0.975727	+	0.218990i	$0.929724\pi$
$278$	21.4569			1.28690
$279$	−6.89208	−	8.13274i	−0.412618	−	0.486894i
$280$	−2.06933			−0.123666
$281$	2.12512	−	6.54046i	0.126774	−	0.390171i	−0.867446	−	0.497531i	$-0.834240\pi$
$281$	2.12512	−	6.54046i	0.126774	−	0.390171i	0.994220	+	0.107361i	$0.0342399\pi$
$282$	−2.69932	+	2.99790i	−0.160742	+	0.178523i
$283$	18.8262	+	13.6780i	1.11910	+	0.813074i	0.984072	−	0.177768i	$-0.0568877\pi$
$283$	18.8262	+	13.6780i	1.11910	+	0.813074i	0.135028	+	0.990842i	$0.456888\pi$
$284$	−24.6712	+	42.7317i	−1.46396	+	2.53566i
$285$	2.89006	+	5.00573i	0.171192	+	0.296514i
$286$	−3.41833	+	32.5233i	−0.202130	+	1.92314i
$287$	−0.897466	+	0.652047i	−0.0529757	+	0.0384891i
$288$	2.20769	+	21.0047i	0.130089	+	1.23772i
$289$	−11.0260	−	12.2457i	−0.648591	−	0.720333i
$290$	−4.54738	+	2.02462i	−0.267031	+	0.118890i
$291$	−3.70618	+	0.787773i	−0.217260	+	0.0461800i
$292$	44.4439	+	9.44685i	2.60088	+	0.552835i
$293$	22.9848	+	10.2335i	1.34279	+	0.597847i	0.947218	−	0.320590i	$-0.103881\pi$
$293$	22.9848	+	10.2335i	1.34279	+	0.597847i	0.395567	+	0.918437i	$0.370548\pi$
$294$	−5.84059	−	17.9755i	−0.340630	−	1.04835i
$295$	−4.62756	−	14.2422i	−0.269427	−	0.829210i
$296$	−15.7096	−	6.99436i	−0.913101	−	0.406539i
$297$	30.2142	+	6.42222i	1.75320	+	0.372655i
$298$	−46.3387	+	9.84960i	−2.68433	+	0.570572i
$299$	14.7341	−	6.56006i	0.852097	−	0.379378i
$300$	3.39162	+	3.76677i	0.195815	+	0.217475i
$301$	−0.153588	−	1.46129i	−0.00885266	−	0.0842274i
$302$	25.8547	−	18.7845i	1.48777	−	1.08093i
$303$	−1.55369	+	14.7824i	−0.0892572	+	0.849225i
$304$	27.5763	+	47.7636i	1.58161	+	2.73943i
$305$	−2.64604	+	4.58307i	−0.151512	+	0.262426i
$306$	−2.93186	−	2.13012i	−0.167603	−	0.121771i
$307$	−3.09426	+	3.43652i	−0.176599	+	0.196133i	−0.824945	−	0.565213i	$-0.808794\pi$
$307$	−3.09426	+	3.43652i	−0.176599	+	0.196133i	0.648347	+	0.761345i	$0.275461\pi$
$308$	−2.50005	+	7.69437i	−0.142454	+	0.438428i
$309$	−10.1236			−0.575910
$310$	−14.1722	−	3.46017i	−0.804928	−	0.196524i
$311$	−16.2811			−0.923214			−0.461607	−	0.887084i	$-0.652727\pi$
$311$	−16.2811			−0.923214			−0.461607	+	0.887084i	$0.652727\pi$
$312$	5.00024	−	15.3892i	0.283083	−	0.871239i
$313$	−11.3795	+	12.6382i	−0.643206	+	0.714352i	−0.973285	−	0.229601i	$-0.926258\pi$
$313$	−11.3795	+	12.6382i	−0.643206	+	0.714352i	0.330079	+	0.943953i	$0.392925\pi$
$314$	−4.08782	−	2.96998i	−0.230689	−	0.167605i
$315$	−0.263868	+	0.457033i	−0.0148673	+	0.0257509i
$316$	−30.4706	−	52.7766i	−1.71411	−	2.96892i
$317$	−2.35955	+	22.4496i	−0.132525	+	1.26089i	0.702900	+	0.711289i	$0.251888\pi$
$317$	−2.35955	+	22.4496i	−0.132525	+	1.26089i	−0.835425	+	0.549605i	$0.814778\pi$
$318$	−11.3070	+	8.21502i	−0.634066	+	0.460676i
$319$	1.19802	+	11.3984i	0.0670763	+	0.638188i
$320$	6.03675	+	6.70449i	0.337465	+	0.374792i
$321$	−3.06997	+	1.36684i	−0.171349	+	0.0762895i
$322$	5.50726	−	1.17060i	0.306908	−	0.0652352i
$323$	−3.92033	−	0.833292i	−0.218133	−	0.0463656i
$324$	1.82153	+	0.810999i	0.101196	+	0.0450555i
$325$	0.639298	+	1.96756i	0.0354619	+	0.109140i
$326$	−8.65103	−	26.6251i	−0.479136	−	1.47463i
$327$	−12.7526	−	5.67783i	−0.705222	−	0.313985i
$328$	29.5556	+	6.28223i	1.63193	+	0.346878i
$329$	−0.398438	+	0.0846906i	−0.0219666	+	0.00466914i
$330$	15.0444	−	6.69819i	0.828166	−	0.368723i
$331$	16.3073	+	18.1111i	0.896329	+	0.995474i	1.00000		0.000862513i	$0.000274546\pi$
$331$	16.3073	+	18.1111i	0.896329	+	0.995474i	−0.103671	+	0.994612i	$0.533059\pi$
$332$	6.57333	+	62.5410i	0.360758	+	3.43238i
$333$	−3.54796	+	2.57775i	−0.194427	+	0.141260i
$334$	0.182311	−	1.73458i	0.00997564	−	0.0949119i
$335$	−5.13260	−	8.88993i	−0.280424	−	0.485709i
$336$	1.42724	−	2.47205i	0.0778623	−	0.134862i
$337$	−6.27890	−	4.56189i	−0.342033	−	0.248502i	0.403486	−	0.914986i	$-0.367798\pi$
$337$	−6.27890	−	4.56189i	−0.342033	−	0.248502i	−0.745519	+	0.666484i	$0.767798\pi$
$338$	−15.2883	+	16.9793i	−0.831572	+	0.923555i
$339$	2.08167	−	6.40674i	0.113061	−	0.347966i
$340$	−3.51461			−0.190606
$341$	−17.6608	+	28.5724i	−0.956384	+	1.54728i
$342$	27.8337			1.50507
$343$	1.18597	−	3.65005i	0.0640365	−	0.197084i
$344$	−26.7798	+	29.7420i	−1.44387	+	1.60358i
$345$	−6.57077	−	4.77395i	−0.353759	−	0.257021i
$346$	−13.3485	+	23.1202i	−0.717618	+	1.24295i
$347$	3.63416	+	6.29456i	0.195092	+	0.337910i	0.946931	−	0.321438i	$-0.104166\pi$
$347$	3.63416	+	6.29456i	0.195092	+	0.337910i	−0.751839	+	0.659347i	$0.770833\pi$
$348$	1.00654	−	9.57660i	0.0539563	−	0.513360i
$349$	2.71252	−	1.97076i	0.145198	−	0.105492i	−0.512815	−	0.858499i	$-0.671397\pi$
$349$	2.71252	−	1.97076i	0.145198	−	0.105492i	0.658013	+	0.753007i	$0.271397\pi$
$350$	0.0754905	+	0.718244i	0.00403514	+	0.0383918i
$351$	−7.08777	−	7.87177i	−0.378317	−	0.420164i
$352$	60.7956	−	27.0680i	3.24042	−	1.44273i
$353$	−6.03865	+	1.28355i	−0.321405	+	0.0683167i	−0.365789	−	0.930698i	$-0.619201\pi$
$353$	−6.03865	+	1.28355i	−0.321405	+	0.0683167i	0.0443841	+	0.999015i	$0.485867\pi$
$354$	39.9843	+	8.49892i	2.12514	+	0.451712i
$355$	9.26486	+	4.12498i	0.491728	+	0.218931i
$356$	5.71443	+	17.5872i	0.302864	+	0.932120i
$357$	0.0641005	+	0.197281i	0.00339256	+	0.0104412i
$358$	10.4593	+	4.65680i	0.552794	+	0.246120i
$359$	9.84170	+	2.09192i	0.519425	+	0.110407i	0.460162	−	0.887835i	$-0.347791\pi$
$359$	9.84170	+	2.09192i	0.519425	+	0.110407i	0.0592635	+	0.998242i	$0.481125\pi$
$360$	14.0603	−	2.98862i	0.741044	−	0.157514i
$361$	10.7638	−	4.79237i	0.566518	−	0.252230i
$362$	−28.0895	−	31.1966i	−1.47635	−	1.63966i
$363$	−2.76561	−	26.3130i	−0.145157	−	1.38107i
$364$	2.24449	−	1.63071i	0.117643	−	0.0854727i
$365$	0.976185	−	9.28778i	0.0510958	−	0.486144i
$366$	−7.22289	−	12.5104i	−0.377547	−	0.653930i
$367$	13.6806	−	23.6955i	0.714122	−	1.23690i	−0.249175	−	0.968459i	$-0.580159\pi$
$367$	13.6806	−	23.6955i	0.714122	−	1.23690i	0.963297	−	0.268438i	$-0.0865073\pi$
$368$	−62.6968	−	45.5519i	−3.26830	−	2.37456i
$369$	5.15624	−	5.72658i	0.268423	−	0.298114i
$370$	−1.85458	+	5.70780i	−0.0964149	+	0.296734i
$371$	−1.41124			−0.0732682
$372$	19.5049	−	20.3961i	1.01128	−	1.05749i
$373$	−11.9987			−0.621267			−0.310634	−	0.950530i	$-0.600541\pi$
$373$	−11.9987			−0.621267			−0.310634	+	0.950530i	$0.600541\pi$
$374$	−3.52864	+	10.8600i	−0.182462	+	0.561559i
$375$	0.697102	−	0.774210i	0.0359982	−	0.0399800i
$376$	8.97612	+	6.52153i	0.462908	+	0.336322i
$377$	1.96513	−	3.40371i	0.101210	−	0.175300i
$378$	−1.84887	−	3.20233i	−0.0950954	−	0.164710i
$379$	1.28220	−	12.1993i	0.0658623	−	0.626638i	−0.910946	−	0.412525i	$-0.864647\pi$
$379$	1.28220	−	12.1993i	0.0658623	−	0.626638i	0.976809	−	0.214114i	$-0.0686863\pi$
$380$	21.8384	−	15.8665i	1.12028	−	0.813934i
$381$	−0.788629	−	7.50330i	−0.0404027	−	0.384406i
$382$	4.90121	+	5.44334i	0.250768	+	0.278506i
$383$	21.9422	−	9.76928i	1.12119	−	0.499187i	0.239445	−	0.970910i	$-0.423034\pi$
$383$	21.9422	−	9.76928i	1.12119	−	0.499187i	0.881747	+	0.471723i	$0.156368\pi$
$384$	−1.60672	+	0.341519i	−0.0819925	+	0.0174281i
$385$	1.62652	+	0.345728i	0.0828954	+	0.0176200i
$386$	−61.9042	−	27.5615i	−3.15084	−	1.40284i
$387$	3.15403	+	9.70712i	0.160329	+	0.493440i
$388$	5.46802	+	16.8288i	0.277596	+	0.854354i
$389$	−14.0453	−	6.25336i	−0.712123	−	0.317058i	0.0185092	−	0.999829i	$-0.494108\pi$
$389$	−14.0453	−	6.25336i	−0.712123	−	0.317058i	−0.730632	+	0.682771i	$0.760775\pi$
$390$	−5.52384	−	1.17413i	−0.279710	−	0.0594543i
$391$	5.50864	−	1.17090i	0.278584	−	0.0592148i
$392$	−47.4888	+	21.1434i	−2.39855	+	1.06790i
$393$	2.79440	+	3.10350i	0.140959	+	0.156551i
$394$	−3.27664	−	31.1751i	−0.165075	−	1.57058i
$395$	−10.1335	+	7.36239i	−0.509870	+	0.370442i
$396$	5.87439	−	55.8911i	0.295199	−	2.80863i
$397$	1.70580	+	2.95453i	0.0856115	+	0.148283i	0.905652	−	0.424023i	$-0.139382\pi$
$397$	1.70580	+	2.95453i	0.0856115	+	0.148283i	−0.820040	+	0.572306i	$0.806049\pi$
$398$	7.04063	−	12.1947i	0.352915	−	0.611267i
$399$	−1.28891	−	0.936447i	−0.0645262	−	0.0468810i
$400$	6.65159	−	7.38733i	0.332579	−	0.369367i
$401$	−3.79744	+	11.6873i	−0.189635	+	0.583637i	−0.999997	−	0.00229199i	$-0.999270\pi$
$401$	−3.79744	+	11.6873i	−0.189635	+	0.583637i	0.810362	+	0.585929i	$0.199270\pi$
$402$	28.0210			1.39756
$403$	10.6587	−	4.36703i	0.530949	−	0.217537i
$404$	69.4153			3.45354
$405$	0.126642	−	0.389765i	0.00629291	−	0.0193676i
$406$	0.918057	−	1.01961i	0.0455624	−	0.0506022i
$407$	11.1794	+	8.12231i	0.554143	+	0.402608i
$408$	2.82503	−	4.89310i	0.139860	−	0.242245i
$409$	1.17814	+	2.04059i	0.0582551	+	0.100901i	0.893682	−	0.448701i	$-0.148113\pi$
$409$	1.17814	+	2.04059i	0.0582551	+	0.100901i	−0.835427	+	0.549601i	$0.814780\pi$
$410$	1.10229	−	10.4876i	0.0544384	−	0.517947i
$411$	8.77973	−	6.37885i	0.433072	−	0.314645i
$412$	4.94190	+	47.0190i	0.243470	+	2.31646i
$413$	2.76190	+	3.06740i	0.135904	+	0.150937i
$414$	−35.7292	+	15.9077i	−1.75599	+	0.781818i
$415$	12.6428	−	2.68732i	0.620612	−	0.131915i
$416$	−22.3223	−	4.74475i	−1.09444	−	0.232631i
$417$	7.79386	+	3.47005i	0.381667	+	0.169929i
$418$	−27.1015	−	83.4098i	−1.32558	−	4.07971i
$419$	0.865888	+	2.66493i	0.0423014	+	0.130190i	0.969977	−	0.243197i	$-0.0781962\pi$
$419$	0.865888	+	2.66493i	0.0423014	+	0.130190i	−0.927675	+	0.373387i	$0.878196\pi$
$420$	−1.27630	−	0.568247i	−0.0622772	−	0.0277276i
$421$	25.2255	+	5.36185i	1.22942	+	0.261321i	0.776434	−	0.630199i	$-0.217027\pi$
$421$	25.2255	+	5.36185i	1.22942	+	0.261321i	0.452983	+	0.891519i	$0.350360\pi$
$422$	16.9895	−	3.61124i	0.827038	−	0.175792i
$423$	2.58493	−	1.15088i	0.125683	−	0.0559578i
$424$	25.7210	+	28.5661i	1.24912	+	1.38729i
$425$	0.0755094	+	0.718424i	0.00366274	+	0.0348487i
$426$	−22.3966	+	16.2721i	−1.08512	+	0.788384i
$427$	0.152471	−	1.45067i	0.00737860	−	0.0702027i
$428$	7.84692	+	13.5913i	0.379295	+	0.656959i
$429$	−6.50137	+	11.2607i	−0.313889	+	0.543672i
$430$	11.3001	+	8.21001i	0.544940	+	0.395922i
$431$	−10.4354	+	11.5897i	−0.502655	+	0.558255i	−0.940060	−	0.341010i	$-0.889231\pi$
$431$	−10.4354	+	11.5897i	−0.502655	+	0.558255i	0.437405	+	0.899265i	$0.355898\pi$
$432$	−15.7280	+	48.4059i	−0.756715	+	2.32893i
$433$	−6.77937			−0.325796			−0.162898	−	0.986643i	$-0.552084\pi$
$433$	−6.77937			−0.325796			−0.162898	+	0.986643i	$0.552084\pi$
$434$	3.95650	−	0.717561i	0.189918	−	0.0344440i
$435$	−1.97918			−0.0948946
$436$	−20.1455	+	62.0014i	−0.964793	+	2.96933i
$437$	−28.9425	+	32.1439i	−1.38451	+	1.53765i
$438$	20.6239	+	14.9841i	0.985447	+	0.715969i
$439$	4.49764	−	7.79014i	0.214661	−	0.371803i	−0.738507	−	0.674246i	$-0.764469\pi$
$439$	4.49764	−	7.79014i	0.214661	−	0.371803i	0.953168	+	0.302443i	$0.0978021\pi$
$440$	−22.6465	−	39.2249i	−1.07963	−	1.86997i
$441$	−1.38574	+	13.1845i	−0.0659877	+	0.627831i
$442$	3.16793	−	2.30163i	0.150683	−	0.109478i
$443$	−2.12333	−	20.2021i	−0.100882	−	0.959832i	−0.921506	−	0.388363i	$-0.873041\pi$
$443$	−2.12333	−	20.2021i	−0.100882	−	0.959832i	0.820624	−	0.571469i	$-0.193626\pi$
$444$	−7.76854	−	8.62784i	−0.368678	−	0.409459i
$445$	3.47224	−	1.54594i	0.164600	−	0.0732847i
$446$	35.8226	−	7.61433i	1.69625	−	0.360549i
$447$	−18.4246	−	3.91628i	−0.871456	−	0.185234i
$448$	−2.27170	−	1.01142i	−0.107328	−	0.0477853i
$449$	−2.12242	−	6.53213i	−0.100163	−	0.308270i	0.888402	−	0.459067i	$-0.151816\pi$
$449$	−2.12242	−	6.53213i	−0.100163	−	0.308270i	−0.988565	+	0.150796i	$0.951816\pi$
$450$	−1.55025	−	4.77118i	−0.0730794	−	0.224915i
$451$	−22.1815	−	9.87586i	−1.04449	−	0.465036i
$452$	−30.7723	−	6.54086i	−1.44741	−	0.307656i
$453$	12.4291	−	2.64190i	0.583972	−	0.124127i
$454$	−65.3100	+	29.0779i	−3.06515	+	1.36469i
$455$	−0.381557	−	0.423762i	−0.0178877	−	0.0198663i
$456$	4.53601	+	43.1572i	0.212418	+	2.02102i
$457$	11.8839	−	8.63413i	0.555904	−	0.403888i	−0.274054	−	0.961714i	$-0.588365\pi$
$457$	11.8839	−	8.63413i	0.555904	−	0.403888i	0.829957	+	0.557827i	$0.188365\pi$
$458$	−3.42137	+	32.5521i	−0.159870	+	1.52106i
$459$	−1.84933	−	3.20313i	−0.0863192	−	0.149509i
$460$	−18.9651	+	32.8485i	−0.884251	+	1.53157i
$461$	−16.1584	−	11.7398i	−0.752572	−	0.546776i	0.144051	−	0.989570i	$-0.453987\pi$
$461$	−16.1584	−	11.7398i	−0.752572	−	0.546776i	−0.896623	+	0.442795i	$0.853987\pi$
$462$	−3.03726	+	3.37322i	−0.141306	+	0.156937i
$463$	5.98207	−	18.4109i	0.278011	−	0.855628i	−0.710397	−	0.703802i	$-0.751484\pi$
$463$	5.98207	−	18.4109i	0.278011	−	0.855628i	0.988407	−	0.151827i	$-0.0485156\pi$
$464$	−18.8849			−0.876711
$465$	−4.58823	−	3.54880i	−0.212774	−	0.164572i
$466$	−11.7945			−0.546372
$467$	3.72232	−	11.4561i	0.172249	−	0.530127i	−0.827249	−	0.561836i	$-0.810095\pi$
$467$	3.72232	−	11.4561i	0.172249	−	0.530127i	0.999497	+	0.0317096i	$0.0100952\pi$
$468$	−12.8953	+	14.3217i	−0.596086	+	0.662020i
$469$	2.28904	+	1.66308i	0.105698	+	0.0767941i
$470$	1.93611	−	3.35343i	0.0893059	−	0.154682i
$471$	−1.00452	−	1.73988i	−0.0462859	−	0.0801695i
$472$	11.7518	−	111.811i	0.540922	−	5.14653i
$473$	26.0184	−	18.9035i	1.19633	−	0.869184i
$474$	−3.57396	−	34.0040i	−0.164158	−	1.56186i
$475$	−3.71247	−	4.12311i	−0.170340	−	0.189181i
$476$	0.884982	−	0.394020i	0.0405631	−	0.0180599i
$477$	9.58889	−	2.03818i	0.439045	−	0.0933219i
$478$	0.408881	+	0.0869104i	0.0187018	+	0.00397519i
$479$	26.4269	+	11.7660i	1.20748	+	0.537603i	0.908993	−	0.416812i	$-0.136853\pi$
$479$	26.4269	+	11.7660i	1.20748	+	0.537603i	0.298483	+	0.954415i	$0.403519\pi$
$480$	3.55125	+	10.9296i	0.162092	+	0.498867i
$481$	−1.46432	−	4.50671i	−0.0667672	−	0.205488i
$482$	31.0526	+	13.8255i	1.41441	+	0.629734i
$483$	2.18973	+	0.465442i	0.0996362	+	0.0211783i
$484$	−120.861	+	25.6898i	−5.49367	+	1.16772i
$485$	3.32251	−	1.47928i	0.150868	−	0.0671706i
$486$	27.6788	+	30.7404i	1.25553	+	1.39441i
$487$	−1.60014	−	15.2244i	−0.0725094	−	0.689881i	−0.969041	−	0.246901i	$-0.920588\pi$
$487$	−1.60014	−	15.2244i	−0.0725094	−	0.689881i	0.896531	−	0.442980i	$-0.146079\pi$
$488$	−32.1429	+	23.3532i	−1.45504	+	1.05715i
$489$	1.16352	−	11.0702i	0.0526163	−	0.500611i
$490$	9.07108	+	15.7116i	0.409790	+	0.709776i
$491$	13.2690	−	22.9825i	0.598819	−	1.03719i	−0.394176	−	0.919035i	$-0.628970\pi$
$491$	13.2690	−	22.9825i	0.598819	−	1.03719i	0.992996	−	0.118151i	$-0.0376966\pi$
$492$	16.5039	+	11.9908i	0.744053	+	0.540586i
$493$	0.918287	−	1.01986i	0.0413575	−	0.0459322i
$494$	−9.29363	+	28.6028i	−0.418140	+	1.28690i
$495$	−11.5509			−0.519177
$496$	−43.7799	−	33.8619i	−1.96577	−	1.52044i
$497$	−2.79535			−0.125389
$498$	−10.9028	+	33.5553i	−0.488566	+	1.50365i
$499$	−2.57398	+	2.85870i	−0.115227	+	0.127973i	−0.797999	−	0.602659i	$-0.794108\pi$
$499$	−2.57398	+	2.85870i	−0.115227	+	0.127973i	0.682771	+	0.730632i	$0.260775\pi$
$500$	−3.93612	−	2.85976i	−0.176029	−	0.127892i
$501$	0.346740	−	0.600572i	0.0154912	−	0.0268316i
$502$	−9.00927	−	15.6045i	−0.402103	−	0.696464i
$503$	−2.91265	+	27.7120i	−0.129869	+	1.23562i	0.714416	+	0.699721i	$0.246693\pi$
$503$	−2.91265	+	27.7120i	−0.129869	+	1.23562i	−0.844284	+	0.535895i	$0.819974\pi$
$504$	−3.20536	+	2.32883i	−0.142778	+	0.103734i
$505$	−1.49135	−	14.1892i	−0.0663641	−	0.631413i
$506$	82.4600	+	91.5811i	3.66579	+	4.07128i
$507$	−8.29913	+	3.69501i	−0.368577	+	0.164101i
$508$	−34.4642	+	7.32559i	−1.52910	+	0.325020i
$509$	−17.1470	−	3.64470i	−0.760025	−	0.161548i	−0.188433	−	0.982086i	$-0.560341\pi$
$509$	−17.1470	−	3.64470i	−0.760025	−	0.161548i	−0.571592	+	0.820538i	$0.693674\pi$
$510$	−1.80141	−	0.802038i	−0.0797676	−	0.0355148i
$511$	0.795440	+	2.44811i	0.0351882	+	0.108298i
$512$	−12.2390	−	37.6677i	−0.540891	−	1.66469i
$513$	25.9513	+	11.5543i	1.14578	+	0.510134i
$514$	21.8190	+	4.63778i	0.962396	+	0.204564i
$515$	9.50501	−	2.02035i	0.418841	−	0.0890274i
$516$	−24.6843	+	10.9902i	−1.08667	+	0.483815i
$517$	−5.96580	−	6.62569i	−0.262375	−	0.291397i
$518$	−0.172912	−	1.64515i	−0.00759731	−	0.0722836i
$519$	−8.58765	+	6.23929i	−0.376956	+	0.273875i
$520$	−1.62352	+	15.4468i	−0.0711961	+	0.677385i
$521$	−0.881170	−	1.52623i	−0.0386048	−	0.0668654i	0.846077	−	0.533060i	$-0.178958\pi$
$521$	−0.881170	−	1.52623i	−0.0386048	−	0.0668654i	−0.884682	+	0.466195i	$0.845625\pi$
$522$	−4.76530	+	8.25374i	−0.208572	+	0.361256i
$523$	18.2183	+	13.2364i	0.796632	+	0.578787i	0.909924	−	0.414775i	$-0.136140\pi$
$523$	18.2183	+	13.2364i	0.796632	+	0.578787i	−0.113292	+	0.993562i	$0.536140\pi$
$524$	13.0501	−	14.4936i	0.570097	−	0.633157i
$525$	−0.0887350	+	0.273098i	−0.00387271	+	0.0119190i
$526$	79.8836			3.48309
$527$	3.95749	−	0.717740i	0.172391	−	0.0312653i
$528$	62.4782			2.71901
$529$	11.6741	−	35.9291i	0.507569	−	1.56214i
$530$	8.97668	−	9.96961i	0.389922	−	0.433052i
$531$	−23.1962	−	16.8530i	−1.00663	−	0.731357i
$532$	−3.72015	+	6.44348i	−0.161289	+	0.279360i
$533$	4.16317	+	7.21082i	0.180327	+	0.312335i
$534$	−1.08450	+	10.3183i	−0.0469309	+	0.446518i
$535$	2.60961	−	1.89600i	0.112823	−	0.0819710i
$536$	−8.05572	−	76.6451i	−0.347954	−	3.31056i
$537$	3.04607	+	3.38301i	0.131448	+	0.145988i
$538$	−2.26478	+	1.00834i	−0.0976414	+	0.0434728i
$539$	40.8594	−	8.68493i	1.75994	−	0.374086i
$540$	24.3665	+	5.17926i	1.04857	+	0.222880i
$541$	0.606217	+	0.269905i	0.0260633	+	0.0116041i	0.419727	−	0.907650i	$-0.362126\pi$
$541$	0.606217	+	0.269905i	0.0260633	+	0.0116041i	−0.393664	+	0.919255i	$0.628793\pi$
$542$	−10.7444	−	33.0680i	−0.461514	−	1.42039i
$543$	−5.15788	−	15.8743i	−0.221346	−	0.681232i
$544$	−7.27964	−	3.24111i	−0.312112	−	0.138961i
$545$	13.1066	+	2.78588i	0.561423	+	0.119334i
$546$	1.52254	−	0.323626i	0.0651586	−	0.0138499i
$547$	−20.4276	+	9.09497i	−0.873423	+	0.388873i	−0.793964	−	0.607965i	$-0.791986\pi$
$547$	−20.4276	+	9.09497i	−0.873423	+	0.388873i	−0.0794593	+	0.996838i	$0.525319\pi$
$548$	−33.9125	−	37.6637i	−1.44867	−	1.60891i
$549$	1.05913	+	10.0770i	0.0452026	+	0.430074i
$550$	−12.7884	+	9.29132i	−0.545299	+	0.396183i
$551$	−1.10176	+	10.4826i	−0.0469366	+	0.446572i
$552$	−30.4881	−	52.8070i	−1.29766	−	2.24762i
$553$	1.72623	−	2.98991i	0.0734066	−	0.127144i
$554$	35.9706	+	26.1342i	1.52824	+	1.11033i
$555$	−1.59672	+	1.77334i	−0.0677770	+	0.0752739i
$556$	12.3120	−	37.8926i	0.522147	−	1.60700i
$557$	37.1223			1.57292			0.786461	−	0.617640i	$-0.211911\pi$
$557$	37.1223			1.57292			0.786461	+	0.617640i	$0.211911\pi$
$558$	−25.8466	+	10.5897i	−1.09417	+	0.448298i
$559$	−11.0285			−0.466455
$560$	−0.846690	+	2.60584i	−0.0357792	+	0.110117i
$561$	−3.03802	+	3.37407i	−0.128265	+	0.142453i
$562$	−14.5777	−	10.5913i	−0.614924	−	0.446768i
$563$	−8.04831	+	13.9401i	−0.339196	+	0.587505i	−0.984282	−	0.176606i	$-0.943488\pi$
$563$	−8.04831	+	13.9401i	−0.339196	+	0.587505i	0.645086	+	0.764110i	$0.276822\pi$
$564$	3.74537	+	6.48717i	0.157709	+	0.273159i
$565$	−0.675896	+	6.43072i	−0.0284352	+	0.270542i
$566$	49.3279	−	35.8388i	2.07340	−	1.50642i
$567$	0.0118075	+	0.112341i	0.000495869	+	0.00471788i
$568$	50.9474	+	56.5828i	2.13770	+	2.37416i
$569$	−3.56982	+	1.58939i	−0.149655	+	0.0666306i	−0.480197	−	0.877161i	$-0.659435\pi$
$569$	−3.56982	+	1.58939i	−0.149655	+	0.0666306i	0.330543	+	0.943791i	$0.392768\pi$
$570$	14.8140	−	3.14881i	0.620489	−	0.131889i
$571$	−4.62212	−	0.982462i	−0.193430	−	0.0411148i	0.110178	−	0.993912i	$-0.464858\pi$
$571$	−4.62212	−	0.982462i	−0.193430	−	0.0411148i	−0.303608	+	0.952797i	$0.598191\pi$
$572$	55.4741	+	24.6987i	2.31949	+	1.03270i
$573$	0.899973	+	2.76983i	0.0375969	+	0.115711i
$574$	0.898200	+	2.76437i	0.0374901	+	0.115383i
$575$	7.12203	+	3.17093i	0.297009	+	0.132237i
$576$	16.8961	+	3.59137i	0.704003	+	0.149640i
$577$	−36.4771	+	7.75344i	−1.51856	+	0.322780i	−0.890355	−	0.455267i	$-0.849544\pi$
$577$	−36.4771	+	7.75344i	−1.51856	+	0.322780i	−0.628206	+	0.778047i	$0.716210\pi$
$578$	−39.4429	+	17.5611i	−1.64061	+	0.730446i
$579$	−18.0283	−	20.0225i	−0.749232	−	0.832107i
$580$	0.966154	+	9.19234i	0.0401174	+	0.381691i
$581$	−2.88221	+	2.09405i	−0.119574	+	0.0868756i
$582$	−1.03774	+	9.87339i	−0.0430155	+	0.409265i
$583$	−15.4445	−	26.7506i	−0.639645	−	1.10790i
$584$	35.0566	−	60.7198i	1.45065	−	2.51260i
$585$	3.20455	+	2.32825i	0.132492	+	0.0962611i
$586$	44.1114	−	48.9907i	1.82223	−	2.02379i
$587$	−6.58121	+	20.2549i	−0.271636	+	0.836009i	0.718454	+	0.695574i	$0.244850\pi$
$587$	−6.58121	+	20.2549i	−0.271636	+	0.836009i	−0.990090	+	0.140435i	$0.955150\pi$
$588$	−35.0958			−1.44733
$589$	−21.3500	+	22.3256i	−0.879713	+	0.919911i
$590$	−39.2373			−1.61538
$591$	3.85151	−	11.8537i	0.158430	−	0.487598i
$592$	−15.2355	+	16.9208i	−0.626176	+	0.695439i
$593$	−19.2442	−	13.9817i	−0.790263	−	0.574159i	0.117779	−	0.993040i	$-0.462423\pi$
$593$	−19.2442	−	13.9817i	−0.790263	−	0.574159i	−0.908041	+	0.418881i	$0.862423\pi$
$594$	40.4675	−	70.0918i	1.66040	−	2.87590i
$595$	−0.0995552	−	0.172435i	−0.00408136	−	0.00706913i
$596$	−9.19506	+	87.4852i	−0.376644	+	3.58353i
$597$	4.52954	−	3.29091i	0.185382	−	0.134688i
$598$	−4.41732	−	42.0280i	−0.180638	−	1.71865i
$599$	−19.9325	−	22.1372i	−0.814418	−	0.904503i	0.182480	−	0.983210i	$-0.441588\pi$
$599$	−19.9325	−	22.1372i	−0.814418	−	0.904503i	−0.996898	+	0.0787068i	$0.974921\pi$
$600$	7.14525	−	3.18127i	0.291704	−	0.129875i
$601$	−8.68112	+	1.84523i	−0.354110	+	0.0752684i	−0.381532	−	0.924356i	$-0.624603\pi$
$601$	−8.68112	+	1.84523i	−0.354110	+	0.0752684i	0.0274222	+	0.999624i	$0.491270\pi$
$602$	−3.76580	−	0.800445i	−0.153482	−	0.0326237i
$603$	−17.9551	−	7.99411i	−0.731187	−	0.325545i
$604$	−18.3377	−	56.4376i	−0.746150	−	2.29641i
$605$	7.84789	+	24.1533i	0.319062	+	0.981972i
$606$	35.5787	+	15.8407i	1.44529	+	0.643483i
$607$	−2.11901	−	0.450410i	−0.0860081	−	0.0182816i	0.164707	−	0.986343i	$-0.447332\pi$
$607$	−2.11901	−	0.450410i	−0.0860081	−	0.0182816i	−0.250715	+	0.968061i	$0.580666\pi$
$608$	59.8646	−	12.7246i	2.42783	−	0.516051i
$609$	0.498361	−	0.221885i	0.0201946	−	0.00899122i
$610$	9.27827	+	10.3046i	0.375666	+	0.417219i
$611$	0.319584	+	3.04063i	0.0129290	+	0.123011i
$612$	−5.44407	+	3.95535i	−0.220063	+	0.159885i
$613$	−3.51571	+	33.4498i	−0.141998	+	1.35102i	0.658903	+	0.752228i	$0.271021\pi$
$613$	−3.51571	+	33.4498i	−0.141998	+	1.35102i	−0.800901	+	0.598796i	$0.795646\pi$
$614$	6.05823	+	10.4932i	0.244490	+	0.423469i
$615$	2.09647	−	3.63119i	0.0845377	−	0.146424i
$616$	10.0999	+	7.33799i	0.406935	+	0.295656i
$617$	12.0063	−	13.3343i	0.483355	−	0.536820i	−0.451302	−	0.892371i	$-0.649040\pi$
$617$	12.0063	−	13.3343i	0.483355	−	0.536820i	0.934657	+	0.355551i	$0.115707\pi$
$618$	−8.19683	+	25.2273i	−0.329725	+	1.01479i
$619$	19.7753			0.794837			0.397418	−	0.917638i	$-0.369906\pi$
$619$	19.7753			0.794837			0.397418	+	0.917638i	$0.369906\pi$
$620$	−14.2427	+	23.0425i	−0.571999	+	0.925408i
$621$	−39.9164			−1.60179
$622$	−13.1824	+	40.5713i	−0.528567	+	1.62676i
$623$	−0.701000	+	0.778540i	−0.0280850	+	0.0311915i
$624$	−17.3332	−	12.5933i	−0.693882	−	0.504135i
$625$	−0.500000	+	0.866025i	−0.0200000	+	0.0346410i
$626$	22.2798	+	38.5897i	0.890480	+	1.54236i
$627$	3.64502	−	34.6801i	0.145568	−	1.38499i
$628$	−7.59053	+	5.51485i	−0.302895	+	0.220066i
$629$	−0.172955	−	1.64556i	−0.00689617	−	0.0656127i
$630$	0.925247	+	1.02759i	0.0368627	+	0.0409402i
$631$	−12.4758	+	5.55459i	−0.496654	+	0.221125i	−0.639748	−	0.768584i	$-0.720961\pi$
$631$	−12.4758	+	5.55459i	−0.496654	+	0.221125i	0.143094	+	0.989709i	$0.454295\pi$
$632$	−91.9828	+	19.5516i	−3.65888	+	0.777719i
$633$	6.75518	+	1.43586i	0.268494	+	0.0570702i
$634$	54.0324	+	24.0568i	2.14590	+	0.955416i
$635$	2.23787	+	6.88746i	0.0888072	+	0.273321i
$636$	8.01961	+	24.6818i	0.317998	+	0.978697i
$637$	−13.0861	−	5.82630i	−0.518490	−	0.230847i
$638$	29.3741	+	6.24365i	1.16293	+	0.247189i
$639$	18.9934	−	4.03717i	0.751366	−	0.159708i
$640$	1.44039	−	0.641304i	0.0569365	−	0.0253497i
$641$	−8.87748	−	9.85944i	−0.350640	−	0.389425i	0.541863	−	0.840467i	$-0.317719\pi$
$641$	−8.87748	−	9.85944i	−0.350640	−	0.389425i	−0.892503	+	0.451042i	$0.851052\pi$
$642$	0.920383	+	8.75686i	0.0363246	+	0.345606i
$643$	23.0024	−	16.7122i	0.907126	−	0.659065i	−0.0331605	−	0.999450i	$-0.510557\pi$
$643$	23.0024	−	16.7122i	0.907126	−	0.659065i	0.940286	+	0.340385i	$0.110557\pi$
$644$	1.09281	−	10.3974i	0.0430629	−	0.409716i
$645$	2.77684	+	4.80962i	0.109338	+	0.189379i
$646$	−5.25071	+	9.09450i	−0.206587	+	0.357818i
$647$	−15.2503	−	11.0800i	−0.599550	−	0.435599i	0.246169	−	0.969227i	$-0.420828\pi$
$647$	−15.2503	−	11.0800i	−0.599550	−	0.435599i	−0.845719	+	0.533628i	$0.820828\pi$
$648$	2.05878	−	2.28650i	0.0808764	−	0.0898224i
$649$	−27.9177	+	85.9220i	−1.09587	+	3.37273i
$650$	5.42065			0.212615
$651$	1.55318	+	0.379210i	0.0608738	+	0.0148624i
$652$	−51.9836			−2.03583
$653$	−8.88363	+	27.3410i	−0.347643	+	1.06994i	0.612510	+	0.790463i	$0.290160\pi$
$653$	−8.88363	+	27.3410i	−0.347643	+	1.06994i	−0.960153	+	0.279473i	$0.909840\pi$
$654$	−24.4743	+	27.1815i	−0.957021	+	1.06288i
$655$	−3.24303	−	2.35620i	−0.126716	−	0.0920643i
$656$	20.0040	−	34.6480i	0.781026	−	1.35278i
$657$	−8.94039	−	15.4852i	−0.348798	−	0.604135i
$658$	−0.111563	+	1.06145i	−0.00434919	+	0.0413798i
$659$	−22.3880	+	16.2659i	−0.872114	+	0.633628i	−0.931153	−	0.364628i	$-0.881196\pi$
$659$	−22.3880	+	16.2659i	−0.872114	+	0.633628i	0.0590392	+	0.998256i	$0.481196\pi$
$660$	−3.19639	−	30.4116i	−0.124419	−	1.18377i
$661$	−6.47588	−	7.19219i	−0.251882	−	0.279744i	0.603922	−	0.797044i	$-0.293604\pi$
$661$	−6.47588	−	7.19219i	−0.251882	−	0.279744i	−0.855804	+	0.517300i	$0.826937\pi$
$662$	58.3352	−	25.9725i	2.26726	−	1.00945i
$663$	1.52292	−	0.323706i	0.0591453	−	0.0125717i
$664$	94.9175	+	20.1753i	3.68351	+	0.782955i
$665$	1.39704	+	0.622003i	0.0541750	+	0.0241203i
$666$	3.55086	+	10.9284i	0.137593	+	0.423468i
$667$	−4.57675	−	14.0858i	−0.177212	−	0.545404i
$668$	−2.95863	−	1.31727i	−0.114473	−	0.0509665i
$669$	14.2434	+	3.02752i	0.550680	+	0.117051i
$670$	−26.3089	+	5.59212i	−1.01640	+	0.216043i
$671$	29.1665	−	12.9858i	1.12596	−	0.501310i
$672$	−2.11952	−	2.35396i	−0.0817622	−	0.0908062i
$673$	−3.07483	−	29.2551i	−0.118526	−	1.12770i	−0.878499	−	0.477745i	$-0.841454\pi$
$673$	−3.07483	−	29.2551i	−0.118526	−	1.12770i	0.759973	−	0.649955i	$-0.225212\pi$
$674$	−16.4518	+	11.9529i	−0.633700	+	0.460410i
$675$	0.535195	−	5.09204i	0.0205997	−	0.195993i
$676$	21.2128	+	36.7417i	0.815877	+	1.41314i
$677$	−11.0509	+	19.1408i	−0.424722	+	0.735640i	−0.996394	−	0.0848421i	$-0.972961\pi$
$677$	−11.0509	+	19.1408i	−0.424722	+	0.735640i	0.571673	+	0.820482i	$0.306295\pi$
$678$	−14.2797	−	10.3748i	−0.548408	−	0.398441i
$679$	−0.670772	+	0.744968i	−0.0257419	+	0.0285893i
$680$	−1.67591	+	5.15792i	−0.0642682	+	0.197797i
$681$	−28.4253			−1.08926
$682$	56.9010	+	67.1439i	2.17885	+	2.57107i
$683$	−4.41097			−0.168781			−0.0843906	−	0.996433i	$-0.526894\pi$
$683$	−4.41097			−0.168781			−0.0843906	+	0.996433i	$0.526894\pi$
$684$	15.9711	−	49.1539i	0.610669	−	1.87945i
$685$	−6.97027	+	7.74126i	−0.266320	+	0.295778i
$686$	−8.13542	−	5.91073i	−0.310612	−	0.225673i
$687$	−6.50714	+	11.2707i	−0.248263	+	0.430004i
$688$	26.4959	+	45.8923i	1.01015	+	1.74963i
$689$	−1.10721	+	10.5344i	−0.0421814	+	0.401329i
$690$	−17.2166	+	12.5086i	−0.655424	+	0.476193i
$691$	−2.48382	−	23.6320i	−0.0944889	−	0.899002i	−0.934387	−	0.356259i	$-0.884052\pi$
$691$	−2.48382	−	23.6320i	−0.0944889	−	0.899002i	0.839898	−	0.542744i	$-0.182614\pi$
$692$	33.1706	+	36.8397i	1.26096	+	1.40043i
$693$	2.90854	−	1.29497i	0.110486	−	0.0491917i
$694$	18.6281	−	3.95953i	0.707114	−	0.150302i
$695$	−8.01016	−	1.70261i	−0.303843	−	0.0645838i
$696$	−13.5743	−	6.04368i	−0.514534	−	0.229085i
$697$	0.898424	+	2.76507i	0.0340302	+	0.104734i
$698$	−2.71473	−	8.35509i	−0.102754	−	0.316245i
$699$	−4.28417	−	1.90743i	−0.162042	−	0.0721458i
$700$	1.31172	+	0.278816i	0.0495785	+	0.0105382i
$701$	6.67180	−	1.41814i	0.251990	−	0.0535622i	−0.0801844	−	0.996780i	$-0.525551\pi$
$701$	6.67180	−	1.41814i	0.251990	−	0.0535622i	0.332175	+	0.943218i	$0.392218\pi$
$702$	−25.3547	+	11.2887i	−0.956953	+	0.426063i
$703$	8.50345	+	9.44404i	0.320714	+	0.356189i
$704$	−5.68926	−	54.1297i	−0.214422	−	2.04009i
$705$	1.24558	−	0.904967i	0.0469113	−	0.0340830i
$706$	−1.69083	+	16.0872i	−0.0636353	+	0.605449i
$707$	1.96627	+	3.40567i	0.0739490	+	0.128083i
$708$	37.9520	−	65.7349i	1.42633	−	2.47047i
$709$	−10.1235	−	7.35517i	−0.380197	−	0.276229i	0.381230	−	0.924480i	$-0.375501\pi$
$709$	−10.1235	−	7.35517i	−0.380197	−	0.276229i	−0.761427	+	0.648251i	$0.775501\pi$
$710$	17.7807	−	19.7475i	0.667299	−	0.741111i
$711$	−7.41091	+	22.8084i	−0.277931	+	0.855383i
$712$	28.5353			1.06940
$713$	14.6467	−	40.8607i	0.548522	−	1.53024i
$714$	0.543512			0.0203404
$715$	3.85684	−	11.8701i	0.144238	−	0.443918i
$716$	14.2254	−	15.7990i	0.531630	−	0.590435i
$717$	0.134464	+	0.0976937i	0.00502165	+	0.00364844i
$718$	13.1815	−	22.8311i	0.491930	−	0.852048i
$719$	5.63931	+	9.76757i	0.210311	+	0.364269i	0.951812	−	0.306683i	$-0.0992191\pi$
$719$	5.63931	+	9.76757i	0.210311	+	0.364269i	−0.741501	+	0.670952i	$0.765886\pi$
$720$	1.98947	−	18.9286i	0.0741432	−	0.705426i
$721$	−2.16687	+	1.57433i	−0.0806986	+	0.0586310i
$722$	−3.22702	−	30.7030i	−0.120097	−	1.14265i
$723$	9.04343	+	10.0437i	0.336329	+	0.373531i
$724$	−71.2105	+	31.7050i	−2.64652	+	1.17831i
$725$	1.85826	−	0.394984i	0.0690139	−	0.0146694i
$726$	−67.8095	−	14.4133i	−2.51665	−	0.534929i
$727$	−2.57509	−	1.14650i	−0.0955047	−	0.0425215i	0.358428	−	0.933557i	$-0.383313\pi$
$727$	−2.57509	−	1.14650i	−0.0955047	−	0.0425215i	−0.453933	+	0.891036i	$0.649979\pi$
$728$	−1.32292	−	4.07152i	−0.0490306	−	0.150901i
$729$	4.70253	+	14.4729i	0.174168	+	0.536033i
$730$	−22.3541	−	9.95270i	−0.827363	−	0.368366i
$731$	−3.76674	−	0.800645i	−0.139318	−	0.0296129i
$732$	−26.2377	+	5.57700i	−0.969774	+	0.206132i
$733$	11.2368	−	5.00295i	0.415041	−	0.184788i	−0.188583	−	0.982057i	$-0.560389\pi$
$733$	11.2368	−	5.00295i	0.415041	−	0.184788i	0.603624	+	0.797269i	$0.293723\pi$
$734$	−47.9708	−	53.2769i	−1.77063	−	1.96649i
$735$	0.754013	+	7.17395i	0.0278122	+	0.264615i
$736$	−69.5737	+	50.5482i	−2.56452	+	1.86323i
$737$	−6.47338	+	61.5901i	−0.238450	+	2.26870i
$738$	−10.0954	−	17.4857i	−0.371616	−	0.643657i
$739$	−6.50269	+	11.2630i	−0.239205	+	0.414316i	−0.960486	−	0.278327i	$-0.910220\pi$
$739$	−6.50269	+	11.2630i	−0.239205	+	0.414316i	0.721281	+	0.692642i	$0.243554\pi$
$740$	9.01573	+	6.55031i	0.331425	+	0.240794i
$741$	−8.00145	+	8.88652i	−0.293941	+	0.326454i
$742$	−1.14265	+	3.51673i	−0.0419482	+	0.129103i
$743$	33.1763			1.21712			0.608560	−	0.793508i	$-0.291747\pi$
$743$	33.1763			1.21712			0.608560	+	0.793508i	$0.291747\pi$
$744$	−20.6319	−	38.3504i	−0.756403	−	1.40599i
$745$	18.0805			0.662417
$746$	−9.71506	+	29.8999i	−0.355693	+	1.09471i
$747$	16.5592	−	18.3909i	0.605870	−	0.672887i
$748$	17.1539	+	12.4630i	0.627209	+	0.455694i
$749$	−0.444545	+	0.769975i	−0.0162433	+	0.0281343i
$750$	−1.36485	−	2.36399i	−0.0498373	−	0.0863208i
$751$	−0.591933	+	5.63187i	−0.0215999	+	0.205510i	−0.999999	−	0.00121417i	$-0.999614\pi$
$751$	−0.591933	+	5.63187i	−0.0215999	+	0.205510i	0.978399	+	0.206724i	$0.0662802\pi$
$752$	11.8850	−	8.63499i	0.433403	−	0.314886i
$753$	−0.748875	−	7.12507i	−0.0272905	−	0.259652i
$754$	−6.89070	−	7.65289i	−0.250944	−	0.278702i
$755$	−11.1425	+	4.96095i	−0.405516	+	0.180548i
$756$	−6.71615	+	1.42756i	−0.244264	+	0.0519199i
$757$	42.5961	+	9.05407i	1.54818	+	0.329076i	0.901191	−	0.433423i	$-0.142694\pi$
$757$	42.5961	+	9.05407i	1.54818	+	0.329076i	0.646990	+	0.762499i	$0.276028\pi$
$758$	−29.3618	−	13.0727i	−1.06647	−	0.474822i
$759$	15.1415	+	46.6008i	0.549603	+	1.69150i
$760$	−12.8717	−	39.6151i	−0.466906	−	1.43699i
$761$	34.3244	+	15.2822i	1.24426	+	0.553980i	0.919974	−	0.391980i	$-0.128210\pi$
$761$	34.3244	+	15.2822i	1.24426	+	0.553980i	0.324285	+	0.945959i	$0.394876\pi$
$762$	−19.3363	−	4.11005i	−0.700479	−	0.148891i
$763$	−3.61257	+	0.767875i	−0.130784	+	0.0277989i
$764$	12.4252	−	5.53205i	0.449528	−	0.200143i
$765$	0.925478	+	1.02785i	0.0334607	+	0.0371619i
$766$	−6.57830	−	62.5884i	−0.237684	−	2.26141i
$767$	25.0639	−	18.2100i	0.905003	−	0.657523i
$768$	1.51502	−	14.4145i	0.0546687	−	0.520138i
$769$	−5.75773	−	9.97268i	−0.207629	−	0.359624i	0.743338	−	0.668916i	$-0.233241\pi$
$769$	−5.75773	−	9.97268i	−0.207629	−	0.359624i	−0.950967	+	0.309292i	$0.899908\pi$
$770$	2.17849	−	3.77326i	0.0785075	−	0.135979i
$771$	7.17536	+	5.21320i	0.258414	+	0.187749i
$772$	−84.1940	+	93.5070i	−3.03021	+	3.36539i
$773$	7.48080	−	23.0235i	0.269066	−	0.828099i	−0.721663	−	0.692244i	$-0.756622\pi$
$773$	7.48080	−	23.0235i	0.269066	−	0.828099i	0.990729	−	0.135855i	$-0.0433780\pi$
$774$	26.7432			0.961266
$775$	5.01612	+	2.41630i	0.180184	+	0.0867960i
$776$	27.3048			0.980185
$777$	0.203249	−	0.625535i	0.00729150	−	0.0224409i
$778$	−26.9551	+	29.9367i	−0.966387	+	1.07328i
$779$	−18.0652	−	13.1251i	−0.647252	−	0.470256i
$780$	−5.24309	+	9.08129i	−0.187733	+	0.325162i
$781$	−30.5920	−	52.9868i	−1.09467	−	1.89602i
$782$	1.54243	−	14.6752i	0.0551571	−	0.524784i
$783$	−7.86931	+	5.71739i	−0.281226	+	0.204323i
$784$	7.19462	+	68.4522i	0.256951	+	2.44472i
$785$	1.29037	+	1.43310i	0.0460553	+	0.0511496i
$786$	9.99628	−	4.45063i	0.356556	−	0.158749i
$787$	−53.3698	+	11.3441i	−1.90243	+	0.404373i	−0.999668	−	0.0257730i	$-0.991795\pi$
$787$	−53.3698	+	11.3441i	−1.90243	+	0.404373i	−0.902759	+	0.430146i	$0.858462\pi$
$788$	−56.9349	−	12.1019i	−2.02822	−	0.431112i
$789$	29.0164	+	12.9189i	1.03301	+	0.459926i
$790$	10.1417	+	31.2131i	0.360827	+	1.11051i
$791$	−0.550751	−	1.69504i	−0.0195824	−	0.0602686i
$792$	−79.2228	−	35.2722i	−2.81506	−	1.25334i
$793$	−10.7091	−	2.27628i	−0.380290	−	0.0808331i
$794$	8.74363	−	1.85852i	0.310300	−	0.0659563i
$795$	4.87293	−	2.16957i	0.172825	−	0.0769466i
$796$	−17.4958	−	19.4310i	−0.620121	−	0.688715i
$797$	−4.83594	−	46.0109i	−0.171298	−	1.62979i	−0.655755	−	0.754974i	$-0.727650\pi$
$797$	−4.83594	−	46.0109i	−0.171298	−	1.62979i	0.484458	−	0.874815i	$-0.339017\pi$
$798$	−3.37717	+	2.45365i	−0.119550	+	0.0868584i
$799$	−0.111591	+	1.06172i	−0.00394781	+	0.0375609i
$800$	−5.51548	−	9.55310i	−0.195002	−	0.337753i
$801$	3.63864	−	6.30231i	0.128565	−	0.222681i
$802$	26.0493	+	18.9260i	0.919834	+	0.668299i
$803$	−37.6996	+	41.8697i	−1.33039	+	1.47755i
$804$	16.0785	−	49.4846i	0.567046	−	1.74519i
$805$	−2.14883			−0.0757361
$806$	−2.25220	−	30.0967i	−0.0793302	−	1.06011i
$807$	−0.985712			−0.0346987
$808$	33.1001	−	101.872i	1.16446	−	3.58383i
$809$	8.42231	−	9.35392i	0.296113	−	0.328866i	−0.576668	−	0.816978i	$-0.695648\pi$
$809$	8.42231	−	9.35392i	0.296113	−	0.328866i	0.872781	+	0.488112i	$0.162314\pi$
$810$	−0.868729	−	0.631169i	−0.0305240	−	0.0221770i
$811$	1.71054	−	2.96274i	0.0600650	−	0.104036i	−0.834429	−	0.551115i	$-0.814203\pi$
$811$	1.71054	−	2.96274i	0.0600650	−	0.104036i	0.894494	+	0.447079i	$0.147536\pi$
$812$	−1.27382	−	2.20633i	−0.0447024	−	0.0774269i
$813$	1.44508	−	13.7490i	0.0506811	−	0.482199i
$814$	29.2920	−	21.2819i	1.02668	−	0.745929i
$815$	1.11684	+	10.6260i	0.0391211	+	0.372212i
$816$	−5.00584	−	5.55954i	−0.175239	−	0.194623i
$817$	27.0195	−	12.0298i	0.945292	−	0.420871i
$818$	6.03893	−	1.28361i	0.211146	−	0.0448805i
$819$	−1.06793	−	0.226995i	−0.0373164	−	0.00793185i
$820$	−17.8885	−	7.96447i	−0.624693	−	0.278131i
$821$	−2.90693	−	8.94661i	−0.101453	−	0.312239i	0.887429	−	0.460945i	$-0.152489\pi$
$821$	−2.90693	−	8.94661i	−0.101453	−	0.312239i	−0.988882	+	0.148706i	$0.952489\pi$
$822$	−8.78691	−	27.0433i	−0.306479	−	0.943244i
$823$	−12.6283	−	5.62248i	−0.440195	−	0.195987i	0.174658	−	0.984629i	$-0.444118\pi$
$823$	−12.6283	−	5.62248i	−0.440195	−	0.195987i	−0.614853	+	0.788642i	$0.710785\pi$
$824$	71.3600	+	15.1680i	2.48594	+	0.528404i
$825$	−6.14778	+	1.30675i	−0.214038	+	0.0454952i
$826$	9.88000	−	4.39886i	0.343769	−	0.153056i
$827$	22.8943	+	25.4267i	0.796114	+	0.884174i	0.995404	−	0.0957667i	$-0.0305303\pi$
$827$	22.8943	+	25.4267i	0.796114	+	0.884174i	−0.199290	+	0.979941i	$0.563864\pi$
$828$	7.59116	+	72.2250i	0.263811	+	2.50999i
$829$	−39.1347	+	28.4331i	−1.35921	+	0.987521i	−0.360711	+	0.932678i	$0.617466\pi$
$829$	−39.1347	+	28.4331i	−1.35921	+	0.987521i	−0.998495	+	0.0548431i	$0.982534\pi$
$830$	3.54001	−	33.6810i	0.122876	−	1.16908i
$831$	8.83924	+	15.3100i	0.306630	+	0.531099i
$832$	−9.33219	+	16.1638i	−0.323535	+	0.560380i
$833$	−4.04653	−	2.93998i	−0.140204	−	0.101864i
$834$	14.9576	−	16.6121i	0.517941	−	0.575232i
$835$	−0.205699	+	0.633076i	−0.00711850	+	0.0219085i
$836$	−162.851			−5.63233
$837$	−28.4946	−	0.855866i	−0.984918	−	0.0295831i
$838$	7.34192			0.253622
$839$	9.82433	−	30.2362i	0.339174	−	1.04387i	−0.625456	−	0.780260i	$-0.715087\pi$
$839$	9.82433	−	30.2362i	0.339174	−	1.04387i	0.964629	−	0.263610i	$-0.0849131\pi$
$840$	−1.44253	+	1.60210i	−0.0497721	+	0.0552775i
$841$	20.5416	+	14.9244i	0.708333	+	0.514634i
$842$	33.7859	−	58.5190i	1.16434	−	2.01670i
$843$	−3.58226	−	6.20465i	−0.123380	−	0.213700i
$844$	3.37126	−	32.0754i	0.116044	−	1.10408i
$845$	7.05464	−	5.12550i	0.242687	−	0.176322i
$846$	−0.774966	−	7.37331i	−0.0266439	−	0.253500i
$847$	−4.68391	−	5.20201i	−0.160941	−	0.178743i
$848$	46.4964	−	20.7015i	1.59669	−	0.710893i
$849$	23.7134	−	5.04044i	0.813842	−	0.172988i
$850$	1.85140	+	0.393528i	0.0635026	+	0.0134979i
$851$	−16.3131	−	7.26305i	−0.559205	−	0.248974i
$852$	15.8850	+	48.8890i	0.544211	+	1.67491i
$853$	−0.639261	−	1.96744i	−0.0218879	−	0.0673640i	0.939516	−	0.342505i	$-0.111275\pi$
$853$	−0.639261	−	1.96744i	−0.0218879	−	0.0673640i	−0.961404	+	0.275141i	$0.911275\pi$
$854$	−3.49151	−	1.55452i	−0.119477	−	0.0531946i
$855$	−10.3907	−	2.20861i	−0.355355	−	0.0755330i
$856$	23.6878	−	5.03500i	0.809633	−	0.172093i
$857$	22.0263	−	9.80674i	0.752404	−	0.334992i	0.00555411	−	0.999985i	$-0.498232\pi$
$857$	22.0263	−	9.80674i	0.752404	−	0.334992i	0.746850	+	0.664993i	$0.231565\pi$
$858$	22.7969	+	25.3185i	0.778274	+	0.864360i
$859$	4.61157	+	43.8761i	0.157345	+	1.49703i	0.733497	+	0.679692i	$0.237887\pi$
$859$	4.61157	+	43.8761i	0.157345	+	1.49703i	−0.576153	+	0.817342i	$0.695447\pi$
$860$	20.9828	−	15.2449i	0.715507	−	0.519846i
$861$	−0.120804	+	1.14937i	−0.00411698	+	0.0391704i
$862$	20.4314	+	35.3882i	0.695896	+	1.20533i
$863$	21.7387	−	37.6525i	0.739993	−	1.28171i	−0.212505	−	0.977160i	$-0.568162\pi$
$863$	21.7387	−	37.6525i	0.739993	−	1.28171i	0.952498	−	0.304545i	$-0.0985045\pi$
$864$	45.6929	+	33.1979i	1.55451	+	1.12941i
$865$	6.81777	−	7.57190i	0.231811	−	0.257452i
$866$	−5.48911	+	16.8937i	−0.186528	+	0.574073i
$867$	−17.1670			−0.583021
$868$	1.00305	−	7.39885i	0.0340457	−	0.251133i
$869$	75.5664			2.56342
$870$	−1.60250	+	4.93200i	−0.0543299	+	0.167210i
$871$	14.2102	−	15.7820i	0.481494	−	0.534753i
$872$	81.3849	+	59.1296i	2.75604	+	2.00238i
$873$	3.48174	−	6.03054i	0.117839	−	0.204103i
$874$	56.6664	+	98.1491i	1.91677	+	3.31994i
$875$	0.0288113	−	0.274121i	0.000973998	−	0.00926697i
$876$	38.2958	−	27.8235i	1.29389	−	0.940070i
$877$	−0.830402	−	7.90075i	−0.0280407	−	0.266789i	−0.999556	−	0.0298107i	$-0.990510\pi$
$877$	−0.830402	−	7.90075i	−0.0280407	−	0.266789i	0.971515	−	0.236979i	$-0.0761571\pi$
$878$	−15.7709	−	17.5153i	−0.532241	−	0.591114i
$879$	23.9456	−	10.6613i	0.807665	−	0.359596i
$880$	−58.6607	+	12.4687i	−1.97745	+	0.420320i
$881$	35.7020	+	7.58869i	1.20283	+	0.255669i	0.765383	−	0.643575i	$-0.222550\pi$
$881$	35.7020	+	7.58869i	1.20283	+	0.255669i	0.437447	+	0.899244i	$0.355883\pi$
$882$	31.7328	+	14.1283i	1.06850	+	0.475726i
$883$	16.2595	+	50.0416i	0.547176	+	1.68403i	0.715760	+	0.698346i	$0.246080\pi$
$883$	16.2595	+	50.0416i	0.547176	+	1.68403i	−0.168584	+	0.985687i	$0.553920\pi$
$884$	−2.24688	−	6.91519i	−0.0755708	−	0.232583i
$885$	−14.2523	−	6.34553i	−0.479086	−	0.213303i
$886$	−52.0616	−	11.0660i	−1.74904	−	0.371771i
$887$	6.73921	−	1.43246i	0.226280	−	0.0480974i	−0.0933759	−	0.995631i	$-0.529766\pi$
$887$	6.73921	−	1.43246i	0.226280	−	0.0480974i	0.319656	+	0.947534i	$0.396433\pi$
$888$	−16.3663	+	7.28674i	−0.549216	+	0.244527i
$889$	−1.33565	−	1.48339i	−0.0447961	−	0.0497511i
$890$	−1.04099	−	9.90431i	−0.0348939	−	0.331993i
$891$	−2.00024	+	1.45326i	−0.0670107	+	0.0486861i
$892$	7.10834	−	67.6313i	0.238005	−	2.26446i
$893$	−4.09969	−	7.10087i	−0.137191	−	0.237621i
$894$	−24.6771	+	42.7421i	−0.825327	+	1.42951i
$895$	−3.53510	−	2.56840i	−0.118165	−	0.0858522i
$896$	−0.290796	+	0.322962i	−0.00971482	+	0.0107894i
$897$	5.19233	−	15.9803i	0.173367	−	0.533568i
$898$	−17.9961			−0.600538
$899$	−2.96513	−	10.1534i	−0.0988925	−	0.338634i
$900$	−9.31536			−0.310512
$901$	−1.14294	+	3.51761i	−0.0380768	+	0.117188i
$902$	−42.5699	+	47.2787i	−1.41742	+	1.57421i
$903$	−1.23841	−	0.899759i	−0.0412118	−	0.0299421i
$904$	−24.2727	+	42.0415i	−0.807297	+	1.39828i
$905$	8.01076	+	13.8750i	0.266287	+	0.461222i
$906$	3.48018	−	33.1117i	0.115621	−	1.10006i
$907$	3.04907	−	2.21528i	0.101243	−	0.0735571i	−0.536012	−	0.844210i	$-0.680070\pi$
$907$	3.04907	−	2.21528i	0.101243	−	0.0735571i	0.637255	+	0.770653i	$0.280070\pi$
$908$	13.8760	+	132.021i	0.460491	+	4.38128i
$909$	−18.2787	−	20.3005i	−0.606265	−	0.673326i
$910$	−1.36493	+	0.607704i	−0.0452468	+	0.0201452i
$911$	−53.2530	+	11.3193i	−1.76435	+	0.375024i	−0.971989	−	0.235028i	$-0.924482\pi$
$911$	−53.2530	+	11.3193i	−1.76435	+	0.375024i	−0.792361	+	0.610052i	$0.791149\pi$
$912$	56.2025	+	11.9462i	1.86105	+	0.395579i
$913$	−71.2359	−	31.7162i	−2.35756	−	1.04965i
$914$	−11.8936	−	36.6047i	−0.393405	−	1.21077i
$915$	1.70370	+	5.24345i	0.0563226	+	0.173343i
$916$	55.5233	+	24.7206i	1.83454	+	0.816791i
$917$	1.08075	+	0.229720i	0.0356895	+	0.00758603i
$918$	−9.47935	+	2.01490i	−0.312865	+	0.0665015i
$919$	21.9059	−	9.75315i	0.722610	−	0.321727i	−0.0122691	−	0.999925i	$-0.503905\pi$
$919$	21.9059	−	9.75315i	0.722610	−	0.321727i	0.734879	+	0.678198i	$0.237239\pi$
$920$	39.1640	+	43.4960i	1.29120	+	1.43402i
$921$	0.503576	+	4.79121i	0.0165934	+	0.157876i
$922$	−42.3378	+	30.7602i	−1.39432	+	1.01303i
$923$	−2.19313	+	20.8662i	−0.0721877	+	0.686820i
$924$	4.21427	+	7.29933i	0.138639	+	0.240130i
$925$	1.14526	−	1.98364i	0.0376558	−	0.0652217i
$926$	−41.0353	−	29.8139i	−1.34850	−	0.979744i
$927$	12.4494	−	13.8265i	0.408892	−	0.454120i
$928$	−6.47586	+	19.9306i	−0.212580	+	0.654255i
$929$	−44.7603			−1.46854			−0.734269	−	0.678858i	$-0.762475\pi$
$929$	−44.7603			−1.46854			−0.734269	+	0.678858i	$0.762475\pi$
$930$	−12.5584	+	8.56019i	−0.411805	+	0.280700i
$931$	38.4159			1.25903
$932$	−6.76775	+	20.8290i	−0.221685	+	0.682276i
$933$	−11.3496	+	12.6050i	−0.371568	+	0.412668i
$934$	−25.5340	−	18.5516i	−0.835499	−	0.607026i
$935$	2.17904	−	3.77421i	0.0712622	−	0.123430i
$936$	14.8690	+	25.7539i	0.486009	+	0.841792i
$937$	−0.452653	+	4.30671i	−0.0147875	+	0.140694i	−0.999425	−	0.0339197i	$-0.989201\pi$
$937$	−0.452653	+	4.30671i	−0.0147875	+	0.140694i	0.984637	+	0.174614i	$0.0558676\pi$
$938$	5.99768	−	4.35757i	0.195831	−	0.142280i
$939$	1.85196	+	17.6202i	0.0604363	+	0.575013i
$940$	−4.81117	−	5.34334i	−0.156923	−	0.174281i
$941$	−26.9548	+	12.0011i	−0.878703	+	0.391224i	−0.795961	−	0.605347i	$-0.793034\pi$
$941$	−26.9548	+	12.0011i	−0.878703	+	0.391224i	−0.0827415	+	0.996571i	$0.526368\pi$
$942$	−5.14901	+	1.09446i	−0.167764	+	0.0356593i
$943$	30.6910	+	6.52357i	0.999436	+	0.212437i
$944$	−135.992	−	60.5476i	−4.42617	−	1.97066i
$945$	0.436102	+	1.34218i	0.0141864	+	0.0436612i
$946$	−26.0397	−	80.1420i	−0.846624	−	2.60564i
$947$	−8.53170	−	3.79856i	−0.277243	−	0.123437i	0.263405	−	0.964685i	$-0.415154\pi$
$947$	−8.53170	−	3.79856i	−0.277243	−	0.123437i	−0.540648	+	0.841249i	$0.681821\pi$
$948$	−62.1013	−	13.2000i	−2.01696	−	0.428717i
$949$	18.8983	−	4.01696i	0.613465	−	0.130396i
$950$	−13.2804	+	5.91283i	−0.430874	+	0.191837i
$951$	15.7358	+	17.4764i	0.510270	+	0.566712i
$952$	−0.156254	−	1.48666i	−0.00506421	−	0.0481828i
$953$	29.4995	−	21.4326i	0.955581	−	0.694270i	0.00346092	−	0.999994i	$-0.498898\pi$
$953$	29.4995	−	21.4326i	0.955581	−	0.694270i	0.952120	+	0.305724i	$0.0988984\pi$
$954$	2.68490	−	25.5451i	0.0869269	−	0.827054i
$955$	−1.39776	−	2.42099i	−0.0452304	−	0.0783413i
$956$	0.388100	−	0.672209i	0.0125520	−	0.0217408i
$957$	9.65990	+	7.01833i	0.312260	+	0.226870i
$958$	50.7174	−	56.3274i	1.63860	−	1.81985i
$959$	0.887255	−	2.73069i	0.0286509	−	0.0881786i
$960$	9.39891			0.303349
$961$	11.3318	−	28.8547i	0.365540	−	0.930795i
$962$	−12.4161			−0.400310
$963$	1.90849	−	5.87373i	0.0615002	−	0.189278i
$964$	42.2337	−	46.9052i	1.36025	−	1.51072i
$965$	20.9227	+	15.2012i	0.673525	+	0.489345i
$966$	2.93283	−	5.07981i	0.0943622	−	0.163440i
$967$	13.3661	+	23.1508i	0.429825	+	0.744479i	0.996857	−	0.0792165i	$-0.0252418\pi$
$967$	13.3661	+	23.1508i	0.429825	+	0.744479i	−0.567032	+	0.823696i	$0.691909\pi$
$968$	−19.9300	+	189.621i	−0.640574	+	6.09466i
$969$	−3.37801	+	2.45427i	−0.108517	+	0.0788424i
$970$	−0.996097	−	9.47723i	−0.0319827	−	0.304295i
$971$	−25.5673	−	28.3954i	−0.820495	−	0.911252i	0.176838	−	0.984240i	$-0.443413\pi$
$971$	−25.5673	−	28.3954i	−0.820495	−	0.911252i	−0.997333	+	0.0729882i	$0.976746\pi$
$972$	70.1692	−	31.2414i	2.25068	−	1.00207i
$973$	2.20785	−	0.469292i	0.0707803	−	0.0150448i
$974$	−39.2337	−	8.33938i	−1.25713	−	0.267211i
$975$	1.96896	+	0.876636i	0.0630571	+	0.0280748i
$976$	16.2563	+	50.0318i	0.520352	+	1.60148i
$977$	15.1988	+	46.7771i	0.486252	+	1.49653i	0.830159	+	0.557527i	$0.188250\pi$
$977$	15.1988	+	46.7771i	0.486252	+	1.49653i	−0.343907	+	0.939004i	$0.611750\pi$
$978$	−26.6441	−	11.8627i	−0.851984	−	0.379328i
$979$	−22.4292	−	4.76746i	−0.716839	−	0.152369i
$980$	32.9514	−	7.00404i	1.05259	−	0.223736i
$981$	23.4371	−	10.4349i	0.748288	−	0.333159i
$982$	−46.5273	−	51.6738i	−1.48475	−	1.64898i
$983$	−3.76511	−	35.8226i	−0.120088	−	1.14256i	−0.874115	−	0.485719i	$-0.838558\pi$
$983$	−3.76511	−	35.8226i	−0.120088	−	1.14256i	0.754027	−	0.656844i	$-0.228109\pi$
$984$	25.4670	−	18.5029i	0.811858	−	0.589850i
$985$	−1.25054	+	11.8981i	−0.0398456	+	0.379105i
$986$	−1.79791	−	3.11407i	−0.0572571	−	0.0991721i
$987$	−0.212184	+	0.367513i	−0.00675388	+	0.0116981i
$988$	45.1795	+	32.8248i	1.43735	+	1.04430i
$989$	−27.8086	+	30.8846i	−0.884263	+	0.982073i
$990$	−9.35255	+	28.7842i	−0.297244	+	0.914822i
$991$	15.2491			0.484403			0.242202	−	0.970226i	$-0.422130\pi$
$991$	15.2491			0.484403			0.242202	+	0.970226i	$0.422130\pi$
$992$	−50.7495	+	34.5925i	−1.61130	+	1.09831i
$993$	25.3896			0.805714
$994$	−2.26333	+	6.96583i	−0.0717886	+	0.220943i
$995$	−3.59602	+	3.99379i	−0.114002	+	0.126612i
$996$	53.0021	+	38.5083i	1.67944	+	1.22018i
$997$	−21.4409	+	37.1367i	−0.679040	+	1.17613i	0.296230	+	0.955117i	$0.404271\pi$
$997$	−21.4409	+	37.1367i	−0.679040	+	1.17613i	−0.975270	+	0.221016i	$0.929063\pi$
$998$	5.03959	+	8.72882i	0.159525	+	0.276306i
$999$	−1.22587	+	11.6634i	−0.0387848	+	0.369013i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.q.b.76.5	yes	40
5.2	odd	4		775.2.ck.b.324.10		80
5.3	odd	4		775.2.ck.b.324.1		80
5.4	even	2		775.2.bl.b.76.1		40
31.12	odd	30		4805.2.a.z.1.20		20
31.19	even	15		4805.2.a.ba.1.20		20
31.20	even	15	inner	155.2.q.b.51.5	✓	40
155.82	odd	60		775.2.ck.b.299.1		80
155.113	odd	60		775.2.ck.b.299.10		80
155.144	even	30		775.2.bl.b.51.1		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.q.b.51.5	✓	40	31.20	even	15	inner
155.2.q.b.76.5	yes	40	1.1	even	1	trivial
775.2.bl.b.51.1		40	155.144	even	30
775.2.bl.b.76.1		40	5.4	even	2
775.2.ck.b.299.1		80	155.82	odd	60
775.2.ck.b.299.10		80	155.113	odd	60
775.2.ck.b.324.1		80	5.3	odd	4
775.2.ck.b.324.10		80	5.2	odd	4
4805.2.a.z.1.20		20	31.12	odd	30
4805.2.a.ba.1.20		20	31.19	even	15

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 155 = 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	155.q (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809678 - 2.49193i) q^{2} +(0.697102 - 0.774210i) q^{3} +(-3.93612 - 2.85976i) q^{4} +(-0.500000 + 0.866025i) q^{5} +(-1.36485 - 2.36399i) q^{6} +(0.0288113 - 0.274121i) q^{7} +(-6.07379 + 4.41287i) q^{8} +(0.200135 + 1.90416i) q^{9} +(1.75324 + 1.94717i) q^{10} +(5.51136 - 2.45382i) q^{11} +(-4.95793 + 1.05384i) q^{12} +(-2.02360 - 0.430130i) q^{13} +(-0.659763 - 0.293745i) q^{14} +(0.321935 + 0.990813i) q^{15} +(3.07183 + 9.45411i) q^{16} +(-0.659928 - 0.293819i) q^{17} +(4.90708 + 1.04303i) q^{18} +(5.42696 - 1.15353i) q^{19} +(4.44468 - 1.97890i) q^{20} +(-0.192143 - 0.213396i) q^{21} +(-1.65232 - 15.7207i) q^{22} +(-6.30712 + 4.58239i) q^{23} +(-0.817564 + 7.77860i) q^{24} +(-0.500000 - 0.866025i) q^{25} +(-2.71032 + 4.69442i) q^{26} +(4.14224 + 3.00951i) q^{27} +(-0.897324 + 0.996579i) q^{28} +(-0.587061 + 1.80679i) q^{29} +2.72970 q^{30} +(-4.60064 + 3.13594i) q^{31} +11.0310 q^{32} +(1.94221 - 5.97751i) q^{33} +(-1.26651 + 1.40660i) q^{34} +(0.222990 + 0.162012i) q^{35} +(4.65768 - 8.06734i) q^{36} +(1.14526 + 1.98364i) q^{37} +(1.51956 - 14.4576i) q^{38} +(-1.74367 + 1.26685i) q^{39} +(-0.784760 - 7.46649i) q^{40} +(-2.69305 - 2.99093i) q^{41} +(-0.687342 + 0.306025i) q^{42} +(5.21434 - 1.10834i) q^{43} +(-28.7107 - 6.10265i) q^{44} +(-1.74912 - 0.778758i) q^{45} +(6.31228 + 19.4272i) q^{46} +(-0.456679 - 1.40551i) q^{47} +(9.46084 + 4.21224i) q^{48} +(6.77272 + 1.43959i) q^{49} +(-2.56292 + 0.544765i) q^{50} +(-0.687514 + 0.306101i) q^{51} +(6.73508 + 7.48006i) q^{52} +(-0.535192 - 5.09201i) q^{53} +(10.8534 - 7.88545i) q^{54} +(-0.630613 + 5.99989i) q^{55} +(1.03466 + 1.79209i) q^{56} +(2.89006 - 5.00573i) q^{57} +(4.02707 + 2.92584i) q^{58} +(-10.0203 + 11.1287i) q^{59} +(1.56631 - 4.82061i) q^{60} +5.29207 q^{61} +(4.08952 + 14.0036i) q^{62} +0.527736 q^{63} +(2.78788 - 8.58023i) q^{64} +(1.38431 - 1.53743i) q^{65} +(-13.3230 - 9.67972i) q^{66} +(-5.13260 + 8.88993i) q^{67} +(1.75730 + 3.04374i) q^{68} +(-0.848972 + 8.07743i) q^{69} +(0.584272 - 0.424499i) q^{70} +(-1.06009 - 10.0861i) q^{71} +(-9.61838 - 10.6823i) q^{72} +(-8.53154 + 3.79849i) q^{73} +(5.87039 - 1.24779i) q^{74} +(-1.01904 - 0.216603i) q^{75} +(-24.6600 - 10.9793i) q^{76} +(-0.513853 - 1.58148i) q^{77} +(1.74509 + 5.37085i) q^{78} +(11.4428 + 5.09464i) q^{79} +(-9.72341 - 2.06677i) q^{80} +(-0.400868 + 0.0852070i) q^{81} +(-9.63370 + 4.28920i) q^{82} +(-8.64870 - 9.60535i) q^{83} +(0.146035 + 1.38943i) q^{84} +(0.584418 - 0.424605i) q^{85} +(1.46002 - 13.8912i) q^{86} +(0.989592 + 1.71402i) q^{87} +(-22.6465 + 39.2249i) q^{88} +(-3.07495 - 2.23408i) q^{89} +(-3.35684 + 3.72814i) q^{90} +(-0.176210 + 0.542319i) q^{91} +37.9301 q^{92} +(-0.779237 + 5.74793i) q^{93} -3.87221 q^{94} +(-1.71449 + 5.27665i) q^{95} +(7.68971 - 8.54029i) q^{96} +(-2.94235 - 2.13774i) q^{97} +(9.07108 - 15.7116i) q^{98} +(5.77547 + 10.0034i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q + 2 q^{2} + 3 q^{3} - 2 q^{4} - 20 q^{5} - 12 q^{6} - 2 q^{7} - 31 q^{8} + 6 q^{9} - q^{10} + 16 q^{11} - q^{12} + 2 q^{13} - 10 q^{14} - 6 q^{15} - 16 q^{16} + 4 q^{17} + 37 q^{18} - 9 q^{19} + q^{20}+ \cdots + 17 q^{99}+O(q^{100}) \) 40 * q + 2 * q^2 + 3 * q^3 - 2 * q^4 - 20 * q^5 - 12 * q^6 - 2 * q^7 - 31 * q^8 + 6 * q^9 - q^10 + 16 * q^11 - q^12 + 2 * q^13 - 10 * q^14 - 6 * q^15 - 16 * q^16 + 4 * q^17 + 37 * q^18 - 9 * q^19 + q^20 - 24 * q^21 - 2 * q^22 - 4 * q^23 + 110 * q^24 - 20 * q^25 - 4 * q^26 - 9 * q^27 + 38 * q^28 - 22 * q^29 + 24 * q^30 - 6 * q^31 - 60 * q^32 + 9 * q^33 - 16 * q^34 + 4 * q^35 - q^36 - 38 * q^37 - 32 * q^38 - 55 * q^39 + 8 * q^40 - 24 * q^41 - 68 * q^42 + 26 * q^43 - 52 * q^44 + 6 * q^45 - 50 * q^46 + 4 * q^47 + 105 * q^48 + 93 * q^49 - q^50 - 42 * q^51 + 15 * q^52 + 13 * q^53 + 102 * q^54 + q^55 + 5 * q^56 - 36 * q^57 - 37 * q^58 + 31 * q^59 + 17 * q^60 + 68 * q^61 + 47 * q^62 - 10 * q^63 - 23 * q^64 + 2 * q^65 - 2 * q^67 - 28 * q^68 - 48 * q^69 - 10 * q^70 - 30 * q^71 + 39 * q^72 + 25 * q^73 + 50 * q^74 + 3 * q^75 + 14 * q^76 - 64 * q^77 - 22 * q^78 + 49 * q^79 - 7 * q^80 + 25 * q^81 - 66 * q^82 - 18 * q^83 - 18 * q^84 + 7 * q^85 + 163 * q^86 - 36 * q^87 - 124 * q^88 + 4 * q^89 - 23 * q^90 - 37 * q^91 + 110 * q^92 + 7 * q^93 - 94 * q^94 - 12 * q^95 + 22 * q^96 + 46 * q^97 - 13 * q^98 + 17 * q^99

Introduction

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