LMFDB - Embedded newform 273.2.bv.b.2.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(2,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 1]))

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

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

chi := DirichletCharacter("273.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bv (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			2.26
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.32954 + 1.32954i) q^{2} +(1.33632 + 1.10193i) q^{3} +1.53537i q^{4} +(-3.58803 + 0.961410i) q^{5} +(0.311637 + 3.24176i) q^{6} +(0.951973 + 2.46855i) q^{7} +(0.617751 - 0.617751i) q^{8} +(0.571512 + 2.94506i) q^{9} +O(q^{10})$	\(q+(1.32954 + 1.32954i) q^{2} +(1.33632 + 1.10193i) q^{3} +1.53537i q^{4} +(-3.58803 + 0.961410i) q^{5} +(0.311637 + 3.24176i) q^{6} +(0.951973 + 2.46855i) q^{7} +(0.617751 - 0.617751i) q^{8} +(0.571512 + 2.94506i) q^{9} +(-6.04868 - 3.49220i) q^{10} +(-1.45862 - 5.44364i) q^{11} +(-1.69186 + 2.05174i) q^{12} +(3.45021 + 1.04692i) q^{13} +(-2.01636 + 4.54773i) q^{14} +(-5.85417 - 2.66900i) q^{15} +4.71338 q^{16} +0.604596 q^{17} +(-3.15573 + 4.67543i) q^{18} +(-2.61452 - 0.700557i) q^{19} +(-1.47612 - 5.50894i) q^{20} +(-1.44802 + 4.34778i) q^{21} +(5.29825 - 9.17685i) q^{22} +2.73302 q^{23} +(1.50623 - 0.144797i) q^{24} +(7.61953 - 4.39914i) q^{25} +(3.19528 + 5.97912i) q^{26} +(-2.48152 + 4.56531i) q^{27} +(-3.79013 + 1.46163i) q^{28} +(-0.0469632 + 0.0271142i) q^{29} +(-4.23482 - 11.3319i) q^{30} +(4.75563 + 1.27427i) q^{31} +(5.03114 + 5.03114i) q^{32} +(4.04931 - 8.88175i) q^{33} +(0.803836 + 0.803836i) q^{34} +(-5.78900 - 7.94200i) q^{35} +(-4.52174 + 0.877480i) q^{36} +(-5.11425 - 5.11425i) q^{37} +(-2.54469 - 4.40753i) q^{38} +(3.45697 + 5.20090i) q^{39} +(-1.62260 + 2.81042i) q^{40} +(1.68812 - 6.30015i) q^{41} +(-7.70577 + 3.85536i) q^{42} +(-4.42991 - 2.55761i) q^{43} +(8.35798 - 2.23951i) q^{44} +(-4.88201 - 10.0175i) q^{45} +(3.63366 + 3.63366i) q^{46} +(-0.552327 - 2.06131i) q^{47} +(6.29860 + 5.19381i) q^{48} +(-5.18749 + 4.69999i) q^{49} +(15.9793 + 4.28165i) q^{50} +(0.807935 + 0.666221i) q^{51} +(-1.60740 + 5.29734i) q^{52} +(-1.33418 + 0.770286i) q^{53} +(-9.36906 + 2.77049i) q^{54} +(10.4671 + 18.1296i) q^{55} +(2.11303 + 0.936867i) q^{56} +(-2.72187 - 3.81718i) q^{57} +(-0.0984891 - 0.0263901i) q^{58} +(-7.35313 + 7.35313i) q^{59} +(4.09789 - 8.98829i) q^{60} +(-0.545561 - 0.944939i) q^{61} +(4.62861 + 8.01700i) q^{62} +(-6.72597 + 4.21442i) q^{63} +3.95146i q^{64} +(-13.3860 - 0.439300i) q^{65} +(17.1924 - 6.42493i) q^{66} +(-1.27500 - 4.75837i) q^{67} +0.928276i q^{68} +(3.65219 + 3.01159i) q^{69} +(2.86251 - 18.2560i) q^{70} +(2.21785 - 0.594271i) q^{71} +(2.17236 + 1.46626i) q^{72} +(1.02989 - 3.84360i) q^{73} -13.5992i q^{74} +(15.0297 + 2.51751i) q^{75} +(1.07561 - 4.01424i) q^{76} +(12.0493 - 8.78288i) q^{77} +(-2.31863 + 11.5110i) q^{78} +(1.56958 - 2.71858i) q^{79} +(-16.9118 + 4.53149i) q^{80} +(-8.34675 + 3.36627i) q^{81} +(10.6208 - 6.13189i) q^{82} +(-5.54824 - 5.54824i) q^{83} +(-6.67544 - 2.22324i) q^{84} +(-2.16931 + 0.581265i) q^{85} +(-2.48930 - 9.29020i) q^{86} +(-0.0926359 - 0.0155167i) q^{87} +(-4.26388 - 2.46175i) q^{88} +(-9.63745 + 9.63745i) q^{89} +(6.82786 - 19.8095i) q^{90} +(0.700142 + 9.51366i) q^{91} +4.19618i q^{92} +(4.95090 + 6.94318i) q^{93} +(2.00626 - 3.47494i) q^{94} +10.0545 q^{95} +(1.17927 + 12.2672i) q^{96} +(-2.29951 - 8.58188i) q^{97} +(-13.1458 - 0.648158i) q^{98} +(15.1982 - 7.40683i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	1.32954	+	1.32954i	0.940128	+	0.940128i	0.998306	−	0.0581778i	$-0.0185290\pi$
$2$	1.32954	+	1.32954i	0.940128	+	0.940128i	−0.0581778	+	0.998306i	$0.518529\pi$
$3$	1.33632	+	1.10193i	0.771526	+	0.636198i
$3$	1.33632	+	1.10193i	0.771526	+	0.636198i
$4$			1.53537i			0.767683i
$5$	−3.58803	+	0.961410i	−1.60462	+	0.429956i	−0.946433	−	0.322902i	$-0.895342\pi$
$5$	−3.58803	+	0.961410i	−1.60462	+	0.429956i	−0.658184	+	0.752857i	$0.728675\pi$
$6$	0.311637	+	3.24176i	0.127225	+	1.32344i
$7$	0.951973	+	2.46855i	0.359812	+	0.933025i
$7$	0.951973	+	2.46855i	0.359812	+	0.933025i
$8$	0.617751	−	0.617751i	0.218408	−	0.218408i
$9$	0.571512	+	2.94506i	0.190504	+	0.981686i
$10$	−6.04868	−	3.49220i	−1.91276	−	1.10433i
$11$	−1.45862	−	5.44364i	−0.439790	−	1.64132i	−0.729336	−	0.684155i	$-0.760171\pi$
$11$	−1.45862	−	5.44364i	−0.439790	−	1.64132i	0.289546	−	0.957164i	$-0.406496\pi$
$12$	−1.69186	+	2.05174i	−0.488398	+	0.592287i
$13$	3.45021	+	1.04692i	0.956917	+	0.290362i
$13$	3.45021	+	1.04692i	0.956917	+	0.290362i
$14$	−2.01636	+	4.54773i	−0.538894	+	1.21543i
$15$	−5.85417	−	2.66900i	−1.51154	−	0.689132i
$16$	4.71338			1.17835
$17$	0.604596			0.146636			0.0733180	−	0.997309i	$-0.476641\pi$
$17$	0.604596			0.146636			0.0733180	+	0.997309i	$0.476641\pi$
$18$	−3.15573	+	4.67543i	−0.743813	+	1.10201i
$19$	−2.61452	−	0.700557i	−0.599811	−	0.160719i	−0.0538778	−	0.998548i	$-0.517158\pi$
$19$	−2.61452	−	0.700557i	−0.599811	−	0.160719i	−0.545933	+	0.837829i	$0.683825\pi$
$20$	−1.47612	−	5.50894i	−0.330070	−	1.23184i
$21$	−1.44802	+	4.34778i	−0.315984	+	0.948764i
$22$	5.29825	−	9.17685i	1.12959	−	1.95651i
$23$	2.73302			0.569874			0.284937	−	0.958546i	$-0.408027\pi$
$23$	2.73302			0.569874			0.284937	+	0.958546i	$0.408027\pi$
$24$	1.50623	−	0.144797i	0.307458	−	0.0295566i
$25$	7.61953	−	4.39914i	1.52391	−	0.879828i
$26$	3.19528	+	5.97912i	0.626647	+	1.17260i
$27$	−2.48152	+	4.56531i	−0.477568	+	0.878595i
$28$	−3.79013	+	1.46163i	−0.716267	+	0.276222i
$29$	−0.0469632	+	0.0271142i	−0.00872085	+	0.00503499i	−0.504354	−	0.863497i	$-0.668269\pi$
$29$	−0.0469632	+	0.0271142i	−0.00872085	+	0.00503499i	0.495633	+	0.868532i	$0.334936\pi$
$30$	−4.23482	−	11.3319i	−0.773169	−	2.06891i
$31$	4.75563	+	1.27427i	0.854135	+	0.228865i	0.659215	−	0.751954i	$-0.270889\pi$
$31$	4.75563	+	1.27427i	0.854135	+	0.228865i	0.194920	+	0.980819i	$0.437555\pi$
$32$	5.03114	+	5.03114i	0.889389	+	0.889389i
$33$	4.04931	−	8.88175i	0.704895	−	1.54611i
$34$	0.803836	+	0.803836i	0.137857	+	0.137857i
$35$	−5.78900	−	7.94200i	−0.978520	−	1.34244i
$36$	−4.52174	+	0.877480i	−0.753624	+	0.146247i
$37$	−5.11425	−	5.11425i	−0.840777	−	0.840777i	0.148183	−	0.988960i	$-0.452658\pi$
$37$	−5.11425	−	5.11425i	−0.840777	−	0.840777i	−0.988960	+	0.148183i	$0.952658\pi$
$38$	−2.54469	−	4.40753i	−0.412803	−	0.714996i
$39$	3.45697	+	5.20090i	0.553558	+	0.832811i
$40$	−1.62260	+	2.81042i	−0.256555	+	0.444367i
$41$	1.68812	−	6.30015i	0.263640	−	0.983919i	−0.699437	−	0.714694i	$-0.746566\pi$
$41$	1.68812	−	6.30015i	0.263640	−	0.983919i	0.963077	−	0.269225i	$-0.0867674\pi$
$42$	−7.70577	+	3.85536i	−1.18903	+	0.594895i
$43$	−4.42991	−	2.55761i	−0.675554	−	0.390031i	0.122624	−	0.992453i	$-0.460869\pi$
$43$	−4.42991	−	2.55761i	−0.675554	−	0.390031i	−0.798178	+	0.602422i	$0.794203\pi$
$44$	8.35798	−	2.23951i	1.26001	−	0.337619i
$45$	−4.88201	−	10.0175i	−0.727768	−	1.49332i
$46$	3.63366	+	3.63366i	0.535755	+	0.535755i
$47$	−0.552327	−	2.06131i	−0.0805651	−	0.300673i	0.913872	−	0.406002i	$-0.133077\pi$
$47$	−0.552327	−	2.06131i	−0.0805651	−	0.300673i	−0.994437	+	0.105329i	$0.966411\pi$
$48$	6.29860	+	5.19381i	0.909124	+	0.749661i
$49$	−5.18749	+	4.69999i	−0.741071	+	0.671427i
$50$	15.9793	+	4.28165i	2.25982	+	0.605517i
$51$	0.807935	+	0.666221i	0.113134	+	0.0932896i
$52$	−1.60740	+	5.29734i	−0.222906	+	0.734609i
$53$	−1.33418	+	0.770286i	−0.183263	+	0.105807i	−0.588825	−	0.808261i	$-0.700409\pi$
$53$	−1.33418	+	0.770286i	−0.183263	+	0.105807i	0.405562	+	0.914068i	$0.367076\pi$
$54$	−9.36906	+	2.77049i	−1.27497	+	0.377016i
$55$	10.4671	+	18.1296i	1.41139	+	2.44460i
$56$	2.11303	+	0.936867i	0.282366	+	0.125194i
$57$	−2.72187	−	3.81718i	−0.360521	−	0.505597i
$58$	−0.0984891	−	0.0263901i	−0.0129323	−	0.00346519i
$59$	−7.35313	+	7.35313i	−0.957296	+	0.957296i	−0.999125	−	0.0418286i	$-0.986682\pi$
$59$	−7.35313	+	7.35313i	−0.957296	+	0.957296i	0.0418286	+	0.999125i	$0.486682\pi$
$60$	4.09789	−	8.98829i	0.529035	−	1.16038i
$61$	−0.545561	−	0.944939i	−0.0698519	−	0.120987i	0.828984	−	0.559272i	$-0.188919\pi$
$61$	−0.545561	−	0.944939i	−0.0698519	−	0.120987i	−0.898836	+	0.438285i	$0.855586\pi$
$62$	4.62861	+	8.01700i	0.587835	+	1.01816i
$63$	−6.72597	+	4.21442i	−0.847392	+	0.530968i
$64$			3.95146i			0.493933i
$65$	−13.3860	−	0.439300i	−1.66033	−	0.0544885i
$66$	17.1924	−	6.42493i	2.11624	−	0.790854i
$67$	−1.27500	−	4.75837i	−0.155766	−	0.581327i	−0.999039	−	0.0438409i	$-0.986041\pi$
$67$	−1.27500	−	4.75837i	−0.155766	−	0.581327i	0.843272	−	0.537487i	$-0.180626\pi$
$68$			0.928276i			0.112570i
$69$	3.65219	+	3.01159i	0.439672	+	0.362553i
$70$	2.86251	−	18.2560i	0.342135	−	2.18200i
$71$	2.21785	−	0.594271i	0.263210	−	0.0705270i	−0.124800	−	0.992182i	$-0.539829\pi$
$71$	2.21785	−	0.594271i	0.263210	−	0.0705270i	0.388011	+	0.921655i	$0.373162\pi$
$72$	2.17236	+	1.46626i	0.256016	+	0.172800i
$73$	1.02989	−	3.84360i	0.120540	−	0.449860i	−0.879102	−	0.476634i	$-0.841857\pi$
$73$	1.02989	−	3.84360i	0.120540	−	0.449860i	0.999642	+	0.0267740i	$0.00852344\pi$
$74$		−	13.5992i		−	1.58088i
$75$	15.0297	+	2.51751i	1.73548	+	0.290697i
$76$	1.07561	−	4.01424i	0.123381	−	0.460465i
$77$	12.0493	−	8.78288i	1.37315	−	1.00090i
$78$	−2.31863	+	11.5110i	−0.262533	+	1.30336i
$79$	1.56958	−	2.71858i	0.176591	−	0.305865i	−0.764120	−	0.645074i	$-0.776826\pi$
$79$	1.56958	−	2.71858i	0.176591	−	0.305865i	0.940711	+	0.339210i	$0.110160\pi$
$80$	−16.9118	+	4.53149i	−1.89079	+	0.506636i
$81$	−8.34675	+	3.36627i	−0.927416	+	0.374030i
$82$	10.6208	−	6.13189i	1.17287	−	0.677154i
$83$	−5.54824	−	5.54824i	−0.608999	−	0.608999i	0.333686	−	0.942684i	$-0.391708\pi$
$83$	−5.54824	−	5.54824i	−0.608999	−	0.608999i	−0.942684	+	0.333686i	$0.891708\pi$
$84$	−6.67544	−	2.22324i	−0.728350	−	0.242576i
$85$	−2.16931	+	0.581265i	−0.235295	+	0.0630470i
$86$	−2.48930	−	9.29020i	−0.268428	−	1.00179i
$87$	−0.0926359	−	0.0155167i	−0.00993161	−	0.00166357i
$88$	−4.26388	−	2.46175i	−0.454531	−	0.262423i
$89$	−9.63745	+	9.63745i	−1.02157	+	1.02157i	−0.0218053	+	0.999762i	$0.506941\pi$
$89$	−9.63745	+	9.63745i	−1.02157	+	1.02157i	−0.999762	+	0.0218053i	$0.993059\pi$
$90$	6.82786	−	19.8095i	0.719719	−	2.08811i
$91$	0.700142	+	9.51366i	0.0733949	+	0.997303i
$92$			4.19618i			0.437482i
$93$	4.95090	+	6.94318i	0.513384	+	0.719975i
$94$	2.00626	−	3.47494i	0.206930	−	0.358413i
$95$	10.0545			1.03157
$96$	1.17927	+	12.2672i	0.120359	+	1.25201i
$97$	−2.29951	−	8.58188i	−0.233480	−	0.871358i	−0.978828	−	0.204683i	$-0.934384\pi$
$97$	−2.29951	−	8.58188i	−0.233480	−	0.871358i	0.745348	−	0.666675i	$-0.232283\pi$
$98$	−13.1458	−	0.648158i	−1.32793	−	0.0654738i
$99$	15.1982	−	7.40683i	1.52748	−	0.744414i
$100$	6.75429	+	11.6988i	0.675429	+	1.16988i
$101$	−2.27392	+	3.93854i	−0.226263	+	0.391899i	−0.956698	−	0.291084i	$-0.905984\pi$
$101$	−2.27392	+	3.93854i	−0.226263	+	0.391899i	0.730435	+	0.682983i	$0.239318\pi$
$102$	0.188415	+	1.95995i	0.0186558	+	0.194064i
$103$	−5.96503	−	3.44391i	−0.587752	−	0.339339i	0.176456	−	0.984309i	$-0.443537\pi$
$103$	−5.96503	−	3.44391i	−0.587752	−	0.339339i	−0.764208	+	0.644970i	$0.776870\pi$
$104$	2.77810	−	1.48464i	0.272416	−	0.145581i
$105$	1.01554	−	16.9921i	0.0991070	−	1.65826i
$106$	−2.79797	−	0.749714i	−0.271763	−	0.0728187i
$107$			7.51825i			0.726817i	0.931630	+	0.363408i	$0.118387\pi$
$107$			7.51825i			0.726817i	−0.931630	+	0.363408i	$0.881613\pi$
$108$	−7.00942	−	3.81004i	−0.674482	−	0.366621i
$109$	7.79340	+	2.08824i	0.746473	+	0.200017i	0.611953	−	0.790894i	$-0.290384\pi$
$109$	7.79340	+	2.08824i	0.746473	+	0.200017i	0.134520	+	0.990911i	$0.457051\pi$
$110$	−10.1876	+	38.0206i	−0.971349	+	3.62512i
$111$	−1.19875	−	12.4698i	−0.113780	−	1.18358i
$112$	4.48701	+	11.6352i	0.423983	+	1.09943i
$113$	15.8638	+	9.15899i	1.49234	+	0.861605i	0.999962	−	0.00877367i	$-0.00279278\pi$
$113$	15.8638	+	9.15899i	1.49234	+	0.861605i	0.492383	+	0.870379i	$0.336126\pi$
$114$	1.45626	−	8.69394i	0.136391	−	0.814262i
$115$	−9.80616	+	2.62755i	−0.914429	+	0.245020i
$116$	−0.0416303	−	0.0721058i	−0.00386527	−	0.00669485i
$117$	−1.11139	+	10.7594i	−0.102748	+	0.994707i
$118$	−19.5526			−1.79996
$119$	0.575559	+	1.49248i	0.0527614	+	0.136815i
$120$	−5.26519	+	1.96764i	−0.480644	+	0.179620i
$121$	−17.9794	+	10.3804i	−1.63449	+	0.943672i
$122$	0.530990	−	1.98168i	0.0480736	−	0.179413i
$123$	9.19819	−	6.55885i	0.829373	−	0.591391i
$124$	−1.95646	+	7.30162i	−0.175696	+	0.655705i
$125$	−9.97664	+	9.97664i	−0.892338	+	0.892338i
$126$	−14.5457	−	3.33920i	−1.29584	−	0.297480i
$127$	3.36991	−	1.94562i	0.299031	−	0.172646i	−0.342976	−	0.939344i	$-0.611435\pi$
$127$	3.36991	−	1.94562i	0.299031	−	0.172646i	0.642008	+	0.766698i	$0.278102\pi$
$128$	4.80864	−	4.80864i	0.425028	−	0.425028i
$129$	−3.10148	−	8.29922i	−0.273070	−	0.730706i
$130$	−17.2132	−	18.3813i	−1.50969	−	1.61215i
$131$	1.02275	+	0.590485i	0.0893580	+	0.0515909i	0.544013	−	0.839077i	$-0.316904\pi$
$131$	1.02275	+	0.590485i	0.0893580	+	0.0515909i	−0.454655	+	0.890668i	$0.650237\pi$
$132$	13.6367	+	6.21718i	1.18693	+	0.541136i
$133$	−0.759587	−	7.12098i	−0.0658645	−	0.617467i
$134$	4.63129	−	8.02162i	0.400082	−	0.692963i
$135$	4.51463	−	18.7662i	0.388557	−	1.61514i
$136$	0.373490	−	0.373490i	0.0320265	−	0.0320265i
$137$	−3.64709	+	3.64709i	−0.311592	+	0.311592i	−0.845526	−	0.533934i	$-0.820713\pi$
$137$	−3.64709	+	3.64709i	−0.311592	+	0.311592i	0.533934	+	0.845526i	$0.320713\pi$
$138$	0.851711	+	8.85978i	0.0725024	+	0.754194i
$139$	−4.97965	+	8.62500i	−0.422368	+	0.731563i	−0.996171	−	0.0874308i	$-0.972134\pi$
$139$	−4.97965	+	8.62500i	−0.422368	+	0.731563i	0.573803	+	0.818994i	$0.305468\pi$
$140$	12.1939	−	8.88823i	1.03057	−	0.751193i
$141$	1.53333	−	3.36320i	0.129130	−	0.283232i
$142$	3.73883	+	2.15862i	0.313756	+	0.181147i
$143$	0.666491	−	20.3088i	0.0557348	−	1.69830i
$144$	2.69376	+	13.8812i	0.224480	+	1.15677i
$145$	0.142438	−	0.142438i	0.0118288	−	0.0118288i
$146$	6.47952	−	3.74095i	0.536249	−	0.309603i
$147$	−12.1112	+	0.564457i	−0.998916	+	0.0465556i
$148$	7.85224	−	7.85224i	0.645450	−	0.645450i
$149$	−4.61056	+	17.2068i	−0.377712	+	1.40964i	0.471631	+	0.881796i	$0.343666\pi$
$149$	−4.61056	+	17.2068i	−0.377712	+	1.40964i	−0.849342	+	0.527842i	$0.823001\pi$
$150$	16.6355	+	23.3297i	1.35828	+	1.90486i
$151$	−2.52741	+	9.43241i	−0.205677	+	0.767598i	0.783565	+	0.621310i	$0.213399\pi$
$151$	−2.52741	+	9.43241i	−0.205677	+	0.767598i	−0.989242	+	0.146288i	$0.953267\pi$
$152$	−2.04789	+	1.18235i	−0.166106	+	0.0959012i
$153$	0.345534	+	1.78057i	0.0279348	+	0.143951i
$154$	27.6973	+	4.34290i	2.23191	+	0.349961i
$155$	−18.2884			−1.46896
$156$	−7.98529	+	5.30771i	−0.639335	+	0.424957i
$157$	9.09434	+	15.7519i	0.725807	+	1.25714i	0.958641	+	0.284618i	$0.0918669\pi$
$157$	9.09434	+	15.7519i	0.725807	+	1.25714i	−0.232834	+	0.972517i	$0.574800\pi$
$158$	5.70129	−	1.52766i	0.453570	−	0.121534i
$159$	−2.63169	−	0.440814i	−0.208706	−	0.0349588i
$160$	−22.8889	−	13.2149i	−1.80953	−	1.04473i
$161$	2.60176	+	6.74660i	0.205047	+	0.531706i
$162$	−15.5730	−	6.62175i	−1.22353	−	0.520254i
$163$	4.29115	−	16.0148i	0.336109	−	1.25438i	−0.566553	−	0.824025i	$-0.691723\pi$
$163$	4.29115	−	16.0148i	0.336109	−	1.25438i	0.902662	−	0.430350i	$-0.141610\pi$
$164$	9.67304	+	2.59188i	0.755338	+	0.202392i
$165$	−5.99006	+	35.7610i	−0.466325	+	2.78399i
$166$		−	14.7532i		−	1.14507i
$167$	−8.07090	−	2.16259i	−0.624545	−	0.167346i	−0.0673521	−	0.997729i	$-0.521455\pi$
$167$	−8.07090	−	2.16259i	−0.624545	−	0.167346i	−0.557193	+	0.830383i	$0.688122\pi$
$168$	1.79133	+	3.58036i	0.138204	+	0.276231i
$169$	10.8079	+	7.22417i	0.831379	+	0.555705i
$170$	−3.65700	−	2.11137i	−0.280479	−	0.161935i
$171$	0.568956	−	8.10028i	0.0435091	−	0.619444i
$172$	3.92686	−	6.80153i	0.299421	−	0.518612i
$173$	−11.8399	−	20.5072i	−0.900168	−	1.55914i	−0.827275	−	0.561797i	$-0.810110\pi$
$173$	−11.8399	−	20.5072i	−0.900168	−	1.55914i	−0.0728927	−	0.997340i	$-0.523223\pi$
$174$	−0.102533	−	0.143794i	−0.00777302	−	0.0109010i
$175$	18.1131	+	14.6213i	1.36922	+	1.10527i
$176$	−6.87503	−	25.6580i	−0.518225	−	1.93404i
$177$	−17.9288	+	1.72353i	−1.34761	+	0.129549i
$178$	−25.6268			−1.92081
$179$	−0.657398	+	1.13865i	−0.0491362	+	0.0851064i	−0.889547	−	0.456843i	$-0.848980\pi$
$179$	−0.657398	+	1.13865i	−0.0491362	+	0.0851064i	0.840411	+	0.541949i	$0.182314\pi$
$180$	15.3805	−	7.49568i	1.14640	−	0.558695i
$181$			1.12412i			0.0835548i	0.999127	+	0.0417774i	$0.0133020\pi$
$181$			1.12412i			0.0835548i	−0.999127	+	0.0417774i	$0.986698\pi$
$182$	−11.7180	+	13.5797i	−0.868592	+	1.00659i
$183$	0.312209	−	1.86391i	0.0230792	−	0.137784i
$184$	1.68832	−	1.68832i	0.124465	−	0.124465i
$185$	23.2670	+	13.4332i	1.71062	+	0.987628i
$186$	−2.64883	+	15.8137i	−0.194222	+	1.15952i
$187$	−0.881875	−	3.29120i	−0.0644891	−	0.240677i
$188$	3.16487	−	0.848023i	0.230822	−	0.0618485i
$189$	−13.6320	−	1.77970i	−0.991585	−	0.129454i
$190$	13.3679	+	13.3679i	0.969807	+	0.969807i
$191$	15.6573	−	9.03976i	1.13292	−	0.654094i	0.188256	−	0.982120i	$-0.439717\pi$
$191$	15.6573	−	9.03976i	1.13292	−	0.654094i	0.944669	+	0.328026i	$0.106383\pi$
$192$	−4.35423	+	5.28043i	−0.314239	+	0.381082i
$193$	−21.4206	+	5.73962i	−1.54189	+	0.413147i	−0.926875	−	0.375371i	$-0.877515\pi$
$193$	−21.4206	+	5.73962i	−1.54189	+	0.413147i	−0.615011	+	0.788518i	$0.710849\pi$
$194$	8.35268	−	14.4673i	0.599688	−	1.03869i
$195$	−17.4039	−	15.3374i	−1.24632	−	1.09834i
$196$	−7.21620	−	7.96470i	−0.515443	−	0.568907i
$197$	0.0595601	−	0.222281i	0.00424348	−	0.0158369i	−0.963772	−	0.266729i	$-0.914057\pi$
$197$	0.0595601	−	0.222281i	0.00424348	−	0.0158369i	0.968015	+	0.250892i	$0.0807239\pi$
$198$	30.0544	+	10.3590i	2.13587	+	0.736182i
$199$		−	20.2649i		−	1.43654i	−0.695763	−	0.718271i	$-0.744934\pi$
$199$		−	20.2649i		−	1.43654i	0.695763	−	0.718271i	$-0.255066\pi$
$200$	1.98940	−	7.42454i	0.140672	−	0.524995i
$201$	3.53957	−	7.76367i	0.249662	−	0.547607i
$202$	−8.25972	+	2.21319i	−0.581152	+	0.155719i
$203$	−0.111641	−	0.0901191i	−0.00783564	−	0.00632512i
$204$	−1.02289	+	1.24048i	−0.0716168	+	0.0868507i
$205$			24.2281i			1.69217i
$206$	−3.35194	−	12.5096i	−0.233540	−	0.871585i
$207$	1.56195	+	8.04890i	0.108563	+	0.559437i
$208$	16.2622	+	4.93452i	1.12758	+	0.342147i
$209$			15.2543i			1.05516i
$210$	23.9420	−	21.2415i	1.65215	−	1.46581i
$211$	−8.83977	−	15.3109i	−0.608555	−	1.05405i	−0.991479	−	0.130268i	$-0.958416\pi$
$211$	−8.83977	−	15.3109i	−0.608555	−	1.05405i	0.382924	−	0.923780i	$-0.374917\pi$
$212$	−1.18267	−	2.04845i	−0.0812262	−	0.140688i
$213$	3.61860	+	1.64977i	0.247943	+	0.113040i
$214$	−9.99583	+	9.99583i	−0.683301	+	0.683301i
$215$	18.3536	+	4.91782i	1.25170	+	0.335392i
$216$	1.28727	+	4.35318i	0.0875873	+	0.296197i
$217$	1.38164	+	12.9526i	0.0937916	+	0.879278i
$218$	7.58526	+	13.1381i	0.513739	+	0.889822i
$219$	5.61164	−	4.00143i	0.379199	−	0.270391i
$220$	−27.8356	+	16.0709i	−1.87668	+	1.08350i
$221$	2.08598	+	0.632962i	0.140319	+	0.0425776i
$222$	14.9854	−	18.1729i	1.00575	−	1.21969i
$223$	6.32579	+	1.69499i	0.423606	+	0.113505i	0.464323	−	0.885666i	$-0.346298\pi$
$223$	6.32579	+	1.69499i	0.423606	+	0.113505i	−0.0407172	+	0.999171i	$0.512964\pi$
$224$	−7.63012	+	17.2091i	−0.509809	+	1.14983i
$225$	17.3104	+	19.9258i	1.15403	+	1.32839i
$226$	8.91438	+	33.2689i	0.592975	+	2.21301i
$227$	10.5772	+	10.5772i	0.702034	+	0.702034i	0.964847	−	0.262813i	$-0.0846501\pi$
$227$	10.5772	+	10.5772i	0.702034	+	0.702034i	−0.262813	+	0.964847i	$0.584650\pi$
$228$	5.86076	−	4.17907i	0.388139	−	0.276766i
$229$	2.67246	−	0.716084i	0.176601	−	0.0473202i	−0.169435	−	0.985541i	$-0.554194\pi$
$229$	2.67246	−	0.716084i	0.176601	−	0.0473202i	0.346036	+	0.938221i	$0.387528\pi$
$230$	−16.5311	−	9.54426i	−1.09003	−	0.629330i
$231$	25.7799	+	1.54075i	1.69619	+	0.101374i
$232$	−0.0122617	+	0.0457614i	−0.000805022	+	0.00300438i
$233$	0.617770	−	1.07001i	0.0404715	−	0.0700987i	−0.845080	−	0.534640i	$-0.820447\pi$
$233$	0.617770	−	1.07001i	0.0404715	−	0.0700987i	0.885552	+	0.464541i	$0.153781\pi$
$234$	−15.7827	+	12.8274i	−1.03175	+	0.838556i
$235$	3.96353	+	6.86504i	0.258552	+	0.447826i
$236$	−11.2897	−	11.2897i	−0.734900	−	0.734900i
$237$	5.09314	−	1.90335i	0.330835	−	0.123636i
$238$	−1.21908	+	2.74954i	−0.0790212	+	0.178226i
$239$	16.3133	+	16.3133i	1.05522	+	1.05522i	0.998384	+	0.0568334i	$0.0181004\pi$
$239$	16.3133	+	16.3133i	1.05522	+	1.05522i	0.0568334	+	0.998384i	$0.481900\pi$
$240$	−27.5929	−	12.5800i	−1.78112	−	0.812036i
$241$	−10.5679	−	10.5679i	−0.680741	−	0.680741i	0.279426	−	0.960167i	$-0.409856\pi$
$241$	−10.5679	−	10.5679i	−0.680741	−	0.680741i	−0.960167	+	0.279426i	$0.909856\pi$
$242$	−37.7055	−	10.1032i	−2.42380	−	0.649456i
$243$	−14.8633	−	4.69908i	−0.953483	−	0.301446i
$244$	1.45083	−	0.837636i	0.0928797	−	0.0536241i
$245$	14.0943	−	21.8510i	0.900450	−	1.39601i
$246$	20.9496	+	3.50911i	1.33570	+	0.223733i
$247$	−8.28721	−	5.15425i	−0.527303	−	0.327957i
$248$	3.72497	−	2.15061i	0.236536	−	0.136564i
$249$	−1.30048	−	13.5280i	−0.0824144	−	0.857302i
$250$	−26.5287			−1.67782
$251$	7.72730	−	13.3841i	0.487743	−	0.844796i	−0.512158	−	0.858891i	$-0.671154\pi$
$251$	7.72730	−	13.3841i	0.487743	−	0.844796i	0.999901	+	0.0140958i	$0.00448698\pi$
$252$	−6.47068	−	10.3268i	−0.407615	−	0.650528i
$253$	−3.98643	−	14.8776i	−0.250625	−	0.935345i
$254$	7.06723	+	1.89366i	0.443437	+	0.118819i
$255$	−3.53941	−	1.61366i	−0.221646	−	0.101052i
$256$	20.6895			1.29309
$257$	8.53830			0.532605			0.266302	−	0.963890i	$-0.414198\pi$
$257$	8.53830			0.532605			0.266302	+	0.963890i	$0.414198\pi$
$258$	6.91061	−	15.1577i	0.430236	−	0.943678i
$259$	7.75616	−	17.4934i	0.481944	−	1.08699i
$260$	0.674487	−	20.5524i	0.0418299	−	1.27460i
$261$	−0.106693	−	0.122813i	−0.00660414	−	0.00760196i
$262$	0.574714	+	2.14486i	0.0355060	+	0.132510i
$263$	−10.9073	−	6.29735i	−0.672574	−	0.388311i	0.124477	−	0.992222i	$-0.460275\pi$
$263$	−10.9073	−	6.29735i	−0.672574	−	0.388311i	−0.797051	+	0.603911i	$0.793608\pi$
$264$	−2.98524	−	7.98817i	−0.183729	−	0.491638i
$265$	4.04650	−	4.04650i	0.248575	−	0.248575i
$266$	8.45774	−	10.4775i	0.518577	−	0.642420i
$267$	−23.4985	+	2.25896i	−1.43808	+	0.138246i
$268$	7.30584	−	1.95759i	0.446275	−	0.119579i
$269$		−	16.6314i		−	1.01403i	−0.861937	−	0.507016i	$-0.830749\pi$
$269$		−	16.6314i		−	1.01403i	0.861937	−	0.507016i	$-0.169251\pi$
$270$	30.9529	−	18.9481i	1.88373	−	1.15315i
$271$	16.5451	+	16.5451i	1.00504	+	1.00504i	0.999987	+	0.00505565i	$0.00160927\pi$
$271$	16.5451	+	16.5451i	1.00504	+	1.00504i	0.00505565	+	0.999987i	$0.498391\pi$
$272$	2.84969			0.172788
$273$	−9.54775	+	13.4848i	−0.577856	+	0.816139i
$274$	−9.69791			−0.585872
$275$	−35.0613	−	35.0613i	−2.11428	−	2.11428i
$276$	−4.62389	+	5.60745i	−0.278325	+	0.337529i
$277$			18.8670i			1.13361i	0.823853	+	0.566804i	$0.191820\pi$
$277$			18.8670i			1.13361i	−0.823853	+	0.566804i	$0.808180\pi$
$278$	−18.0880	+	4.84665i	−1.08484	+	0.290683i
$279$	−1.03489	+	14.7339i	−0.0619573	+	0.882093i
$280$	−8.48234	−	1.33002i	−0.506917	−	0.0794839i
$281$	6.51031	−	6.51031i	0.388372	−	0.388372i	−0.485734	−	0.874107i	$-0.661448\pi$
$281$	6.51031	−	6.51031i	0.388372	−	0.388372i	0.874107	+	0.485734i	$0.161448\pi$
$282$	6.51014	−	2.43289i	0.387673	−	0.144876i
$283$	7.70029	+	4.44577i	0.457735	+	0.264273i	0.711091	−	0.703100i	$-0.248201\pi$
$283$	7.70029	+	4.44577i	0.457735	+	0.264273i	−0.253356	+	0.967373i	$0.581535\pi$
$284$	0.912423	+	3.40521i	0.0541423	+	0.202062i
$285$	13.4360	+	11.0793i	0.795882	+	0.656282i
$286$	27.8875	−	26.1152i	1.64902	−	1.54423i
$287$	17.1593	−	1.83036i	1.01288	−	0.108043i
$288$	−11.9417	+	17.6924i	−0.703669	+	1.04253i
$289$	−16.6345			−0.978498
$290$	0.378754			0.0222412
$291$	6.38373	−	14.0021i	0.374221	−	0.820815i
$292$	5.90134	+	1.58126i	0.345350	+	0.0925362i
$293$	2.28161	+	8.51510i	0.133293	+	0.497458i	0.999999	−	0.00136224i	$-0.000433616\pi$
$293$	2.28161	+	8.51510i	0.133293	+	0.497458i	−0.866706	+	0.498820i	$0.833767\pi$
$294$	−16.8528	−	15.3519i	−0.982877	−	0.895341i
$295$	19.3139	−	33.4526i	1.12450	−	1.94769i
$296$	−6.31866			−0.367265
$297$	28.4715	+	6.84944i	1.65208	+	0.397445i
$298$	−29.0071	+	16.7473i	−1.68034	+	0.970144i
$299$	9.42950	+	2.86124i	0.545322	+	0.165470i
$300$	−3.86529	+	23.0761i	−0.223163	+	1.33230i
$301$	2.09643	−	13.3702i	0.120836	−	0.770647i
$302$	−15.9011	+	9.18049i	−0.915004	+	0.528278i
$303$	−7.37867	+	2.75746i	−0.423893	+	0.158412i
$304$	−12.3232	−	3.30200i	−0.706785	−	0.189382i
$305$	2.86596	+	2.86596i	0.164105	+	0.164105i
$306$	−1.90794	+	2.82675i	−0.109070	+	0.161594i
$307$	−12.3916	−	12.3916i	−0.707226	−	0.707226i	0.258725	−	0.965951i	$-0.416698\pi$
$307$	−12.3916	−	12.3916i	−0.707226	−	0.707226i	−0.965951	+	0.258725i	$0.916698\pi$
$308$	13.4849	+	18.5001i	0.768375	+	1.05414i
$309$	−4.17626	−	11.1752i	−0.237579	−	0.635735i
$310$	−24.3152	−	24.3152i	−1.38101	−	1.38101i
$311$	12.6937	+	21.9862i	0.719796	+	1.24672i	0.961081	+	0.276268i	$0.0890978\pi$
$311$	12.6937	+	21.9862i	0.719796	+	1.24672i	−0.241285	+	0.970454i	$0.577569\pi$
$312$	5.34841	+	1.07732i	0.302794	+	0.0609910i
$313$	9.40956	−	16.2978i	0.531860	−	0.921208i	−0.467449	−	0.884020i	$-0.654827\pi$
$313$	9.40956	−	16.2978i	0.531860	−	0.921208i	0.999308	−	0.0371877i	$-0.0118399\pi$
$314$	−8.85145	+	33.0341i	−0.499516	+	1.86422i
$315$	20.0812	−	21.5879i	1.13145	−	1.21634i
$316$	4.17402	+	2.40987i	0.234807	+	0.135566i
$317$	−12.0323	+	3.22403i	−0.675799	+	0.181080i	−0.580365	−	0.814356i	$-0.697090\pi$
$317$	−12.0323	+	3.22403i	−0.675799	+	0.181080i	−0.0954331	+	0.995436i	$0.530424\pi$
$318$	−2.91286	−	4.08502i	−0.163345	−	0.229077i
$319$	0.216102	+	0.216102i	0.0120994	+	0.0120994i
$320$	−3.79898	−	14.1780i	−0.212369	−	0.792573i
$321$	−8.28457	+	10.0468i	−0.462399	+	0.560758i
$322$	−5.51074	+	12.4290i	−0.307101	+	0.692643i
$323$	−1.58073	−	0.423554i	−0.0879539	−	0.0235672i
$324$	−5.16846	−	12.8153i	−0.287137	−	0.711962i
$325$	30.8945	−	7.20095i	1.71372	−	0.399437i
$326$	26.9976	−	15.5871i	1.49526	−	0.863289i
$327$	8.11341	+	11.3783i	0.448673	+	0.629223i
$328$	−2.84909	−	4.93476i	−0.157315	−	0.272477i
$329$	4.56265	−	3.32576i	0.251547	−	0.183355i
$330$	−55.5099	+	39.5818i	−3.05572	+	2.17891i
$331$	30.0891	+	8.06234i	1.65384	+	0.443146i	0.960686	−	0.277638i	$-0.0895516\pi$
$331$	30.0891	+	8.06234i	1.65384	+	0.443146i	0.693159	+	0.720785i	$0.256218\pi$
$332$	8.51858	−	8.51858i	0.467518	−	0.467518i
$333$	12.1389	−	17.9846i	0.665208	−	0.985551i
$334$	−7.85535	−	13.6059i	−0.429826	−	0.744480i
$335$	9.14949	+	15.8474i	0.499890	+	0.865835i
$336$	−6.82508	+	20.4928i	−0.372339	+	1.11797i
$337$			26.6167i			1.44991i	0.688799	+	0.724953i	$0.258138\pi$
$337$			26.6167i			1.44991i	−0.688799	+	0.724953i	$0.741862\pi$
$338$	4.76476	+	23.9744i	0.259169	+	1.30404i
$339$	11.1066	+	29.7202i	0.603230	+	1.61418i
$340$	−0.892454	−	3.33068i	−0.0484001	−	0.180632i
$341$		−	27.7466i		−	1.50256i
$342$	11.5261	−	10.0132i	0.623261	−	0.541453i
$343$	−16.5405	−	8.33133i	−0.893104	−	0.449850i
$344$	−4.31654	+	1.15661i	−0.232732	+	0.0623604i
$345$	−15.9996	−	7.29442i	−0.861387	−	0.392718i
$346$	11.5236	−	43.0068i	0.619515	−	2.31206i
$347$		−	0.219367i		−	0.0117763i	−0.999983	−	0.00588813i	$-0.998126\pi$
$347$		−	0.219367i		−	0.0117763i	0.999983	−	0.00588813i	$-0.00187426\pi$
$348$	0.0238239	−	0.142230i	0.00127709	−	0.00762433i
$349$	0.844625	−	3.15218i	0.0452117	−	0.168733i	−0.939629	−	0.342196i	$-0.888829\pi$
$349$	0.844625	−	3.15218i	0.0452117	−	0.168733i	0.984840	+	0.173464i	$0.0554959\pi$
$350$	4.64242	+	43.5218i	0.248148	+	2.32634i
$351$	−13.3413	+	13.1534i	−0.712104	+	0.702074i
$352$	20.0492	−	34.7262i	1.06863	−	1.85092i
$353$	−11.4247	+	3.06124i	−0.608076	+	0.162933i	−0.549701	−	0.835361i	$-0.685258\pi$
$353$	−11.4247	+	3.06124i	−0.608076	+	0.162933i	−0.0583747	+	0.998295i	$0.518592\pi$
$354$	−26.1286	−	21.5455i	−1.38872	−	1.14513i
$355$	−7.38637	+	4.26452i	−0.392028	+	0.226337i
$356$	−14.7970	−	14.7970i	−0.784240	−	0.784240i
$357$	−0.875468	+	2.62865i	−0.0463347	+	0.139123i
$358$	−2.38792	+	0.639840i	−0.126205	+	0.0338166i
$359$	9.13128	+	34.0784i	0.481930	+	1.79859i	0.593502	+	0.804833i	$0.297745\pi$
$359$	9.13128	+	34.0784i	0.481930	+	1.79859i	−0.111572	+	0.993756i	$0.535588\pi$
$360$	−9.20419	−	3.17246i	−0.485103	−	0.167203i
$361$	−10.1096	−	5.83676i	−0.532083	−	0.307198i
$362$	−1.49456	+	1.49456i	−0.0785523	+	0.0785523i
$363$	−35.4647	−	5.94041i	−1.86141	−	0.311791i
$364$	−14.6070	+	1.07497i	−0.765612	+	0.0563440i
$365$			14.7811i			0.773679i
$366$	2.89324	−	2.06305i	0.151232	−	0.107838i
$367$	1.15740	−	2.00467i	0.0604157	−	0.104643i	−0.834236	−	0.551408i	$-0.814091\pi$
$367$	1.15740	−	2.00467i	0.0604157	−	0.104643i	0.894651	+	0.446765i	$0.147424\pi$
$368$	12.8818			0.671508
$369$	19.5191	+	1.37100i	1.01612	+	0.0713716i
$370$	13.0744	+	48.7944i	0.679707	+	2.53670i
$371$	−3.17159	−	2.56019i	−0.164661	−	0.132918i
$372$	−10.6603	+	7.60144i	−0.552712	+	0.394116i
$373$	6.40900	+	11.1007i	0.331845	+	0.574773i	0.982874	−	0.184280i	$-0.0589954\pi$
$373$	6.40900	+	11.1007i	0.331845	+	0.574773i	−0.651028	+	0.759053i	$0.725662\pi$
$374$	3.20330	−	5.54828i	0.165639	−	0.286895i
$375$	−24.3255	+	2.33847i	−1.25617	+	0.120758i
$376$	−1.61458	−	0.932176i	−0.0832654	−	0.0480733i
$377$	−0.190419	+	0.0443833i	−0.00980710	+	0.00228586i
$378$	−15.7582	−	20.4906i	−0.810514	−	1.05392i
$379$	10.4302	+	2.79475i	0.535762	+	0.143557i	0.516548	−	0.856258i	$-0.327217\pi$
$379$	10.4302	+	2.79475i	0.535762	+	0.143557i	0.0192141	+	0.999815i	$0.493884\pi$
$380$			15.4373i			0.791918i
$381$	6.64722	+	1.11342i	0.340547	+	0.0570425i
$382$	32.8358	+	8.79833i	1.68003	+	0.450162i
$383$	3.07334	−	11.4698i	0.157040	−	0.586082i	−0.841882	−	0.539662i	$-0.818552\pi$
$383$	3.07334	−	11.4698i	0.157040	−	0.586082i	0.998922	−	0.0464199i	$-0.0147812\pi$
$384$	11.7247	−	1.12712i	0.598322	−	0.0575181i
$385$	−34.7895	+	43.0976i	−1.77304	+	2.19646i
$386$	−36.1106	−	20.8485i	−1.83798	−	1.06116i
$387$	5.00056	−	14.5080i	0.254193	−	0.737485i
$388$	13.1763	−	3.53059i	0.668927	−	0.179238i
$389$	2.91582	+	5.05035i	0.147838	+	0.256063i	0.930428	−	0.366474i	$-0.119435\pi$
$389$	2.91582	+	5.05035i	0.147838	+	0.256063i	−0.782590	+	0.622537i	$0.786102\pi$
$390$	−2.74747	−	43.5310i	−0.139124	−	2.20428i
$391$	1.65237			0.0835641
$392$	−0.301156	+	6.10800i	−0.0152107	+	0.308501i
$393$	0.716051	+	1.91607i	0.0361200	+	0.0966531i
$394$	0.374720	−	0.216345i	0.0188781	−	0.0108993i
$395$	−3.01801	+	11.2634i	−0.151853	+	0.566722i
$396$	11.3722	+	23.3348i	0.571474	+	1.17262i
$397$	−1.28622	+	4.80023i	−0.0645535	+	0.240917i	−0.990662	−	0.136340i	$-0.956466\pi$
$397$	−1.28622	+	4.80023i	−0.0645535	+	0.240917i	0.926109	+	0.377257i	$0.123133\pi$
$398$	26.9431	−	26.9431i	1.35053	−	1.35053i
$399$	6.83175	−	10.3529i	0.342015	−	0.518295i
$400$	35.9138	−	20.7348i	1.79569	−	1.03674i
$401$	−13.6543	+	13.6543i	−0.681864	+	0.681864i	−0.960420	−	0.278556i	$-0.910144\pi$
$401$	−13.6543	+	13.6543i	−0.681864	+	0.681864i	0.278556	+	0.960420i	$0.410144\pi$
$402$	15.0281	−	5.61613i	0.749535	−	0.280107i
$403$	15.0739	+	9.37523i	0.750883	+	0.467013i
$404$	−6.04710	−	3.49129i	−0.300854	−	0.173698i
$405$	26.7120	−	20.1029i	1.32733	−	0.998923i
$406$	−0.0286137	−	0.268248i	−0.00142008	−	0.0133129i
$407$	−20.3804	+	35.2999i	−1.01022	+	1.74975i
$408$	0.910661	−	0.0875439i	0.0450844	−	0.00433407i
$409$	−7.23156	+	7.23156i	−0.357578	+	0.357578i	−0.862919	−	0.505342i	$-0.831366\pi$
$409$	−7.23156	+	7.23156i	−0.357578	+	0.357578i	0.505342	+	0.862919i	$0.331366\pi$
$410$	−32.2123	+	32.2123i	−1.59085	+	1.59085i
$411$	−8.89251	+	0.854857i	−0.438635	+	0.0421670i
$412$	5.28767	−	9.15851i	0.260505	−	0.451207i
$413$	−25.1516	−	11.1516i	−1.23763	−	0.548734i
$414$	−8.62467	+	12.7780i	−0.423880	+	0.628006i
$415$	25.2414	+	14.5731i	1.23905	+	0.715367i
$416$	12.0913	+	22.6257i	0.592826	+	1.10932i
$417$	−16.1585	+	6.03857i	−0.791287	+	0.295710i
$418$	−20.2813	+	20.2813i	−0.991990	+	0.991990i
$419$	2.28595	−	1.31979i	0.111676	−	0.0644761i	−0.443122	−	0.896461i	$-0.646129\pi$
$419$	2.28595	−	1.31979i	0.111676	−	0.0644761i	0.554798	+	0.831985i	$0.312796\pi$
$420$	26.0891	+	1.55923i	1.27302	+	0.0760827i
$421$	−20.5483	+	20.5483i	−1.00146	+	1.00146i	−0.00146365	+	0.999999i	$0.500466\pi$
$421$	−20.5483	+	20.5483i	−1.00146	+	1.00146i	−0.999999	+	0.00146365i	$0.999534\pi$
$422$	8.60368	−	32.1094i	0.418821	−	1.56306i
$423$	5.75502	−	2.80470i	0.279819	−	0.136369i
$424$	−0.348343	+	1.30003i	−0.0169170	+	0.0631352i
$425$	4.60674	−	2.65970i	0.223460	−	0.129015i
$426$	2.61764	+	7.00453i	0.126825	+	0.339370i
$427$	1.81327	−	2.24630i	0.0877504	−	0.108706i
$428$	−11.5433			−0.557965
$429$	23.2694	−	26.4046i	1.12346	−	1.27483i
$430$	17.8634	+	30.9403i	0.861448	+	1.49207i
$431$	12.2196	−	3.27422i	0.588595	−	0.157714i	0.0477840	−	0.998858i	$-0.484784\pi$
$431$	12.2196	−	3.27422i	0.588595	−	0.157714i	0.540811	+	0.841144i	$0.318117\pi$
$432$	−11.6963	+	21.5181i	−0.562741	+	1.03529i
$433$	14.6025	+	8.43076i	0.701751	+	0.405156i	0.807999	−	0.589183i	$-0.200550\pi$
$433$	14.6025	+	8.43076i	0.701751	+	0.405156i	−0.106248	+	0.994340i	$0.533884\pi$
$434$	−15.3841	+	19.0579i	−0.738458	+	0.914810i
$435$	0.347299	−	0.0333866i	0.0166517	−	0.00160076i
$436$	−3.20621	+	11.9657i	−0.153549	+	0.573054i
$437$	−7.14552	−	1.91464i	−0.341817	−	0.0915895i
$438$	12.7810	+	2.14084i	0.610699	+	0.102293i
$439$		−	19.8601i		−	0.947872i	−0.880559	−	0.473936i	$-0.842833\pi$
$439$		−	19.8601i		−	0.947872i	0.880559	−	0.473936i	$-0.157167\pi$
$440$	17.6657	+	4.73350i	0.842178	+	0.225661i
$441$	−16.8065	−	12.5914i	−0.800308	−	0.599589i
$442$	1.93186	+	3.61495i	0.0918890	+	0.171946i
$443$	1.78376	+	1.02985i	0.0847488	+	0.0489297i	0.541775	−	0.840523i	$-0.317752\pi$
$443$	1.78376	+	1.02985i	0.0847488	+	0.0489297i	−0.457027	+	0.889453i	$0.651086\pi$
$444$	19.1457	−	1.84052i	0.908616	−	0.0873473i
$445$	25.3139	−	43.8450i	1.20000	−	2.07845i
$446$	6.15684	+	10.6640i	0.291535	+	0.504953i
$447$	−25.1219	+	17.9134i	−1.18822	+	0.847273i
$448$	−9.75440	+	3.76169i	−0.460852	+	0.177723i
$449$	−0.731361	−	2.72948i	−0.0345151	−	0.128812i	0.946519	−	0.322649i	$-0.104573\pi$
$449$	−0.731361	−	2.72948i	−0.0345151	−	0.128812i	−0.981034	+	0.193837i	$0.937907\pi$
$450$	−3.47733	+	49.5071i	−0.163923	+	2.33379i
$451$	−36.7581			−1.73087
$452$	−14.0624	+	24.3568i	−0.661440	+	1.14565i
$453$	−13.7713	+	9.81971i	−0.647030	+	0.461370i
$454$			28.1257i			1.32000i
$455$	−11.6587	−	33.4622i	−0.546567	−	1.56873i
$456$	−4.03950	−	0.676626i	−0.189167	−	0.0316859i
$457$	−4.58547	+	4.58547i	−0.214499	+	0.214499i	−0.806176	−	0.591676i	$-0.798466\pi$
$457$	−4.58547	+	4.58547i	−0.214499	+	0.214499i	0.591676	+	0.806176i	$0.298466\pi$
$458$	4.50522	+	2.60109i	0.210515	+	0.121541i
$459$	−1.50032	+	2.76017i	−0.0700287	+	0.128834i
$460$	−4.03425	−	15.0560i	−0.188098	−	0.701991i
$461$	−26.6446	+	7.13940i	−1.24096	+	0.332515i	−0.818839	−	0.574023i	$-0.805382\pi$
$461$	−26.6446	+	7.13940i	−1.24096	+	0.332515i	−0.422124	+	0.906538i	$0.638715\pi$
$462$	32.2270	+	36.3239i	1.49933	+	1.68994i
$463$	6.97329	+	6.97329i	0.324076	+	0.324076i	0.850329	−	0.526252i	$-0.176403\pi$
$463$	6.97329	+	6.97329i	0.324076	+	0.324076i	−0.526252	+	0.850329i	$0.676403\pi$
$464$	−0.221356	+	0.127800i	−0.0102762	+	0.00593296i
$465$	−24.4392	−	20.1525i	−1.13334	−	0.934551i
$466$	2.24398	−	0.601271i	0.103950	−	0.0278534i
$467$	17.0379	−	29.5105i	0.788420	−	1.36558i	−0.138514	−	0.990361i	$-0.544233\pi$
$467$	17.0379	−	29.5105i	0.788420	−	1.36558i	0.926934	−	0.375224i	$-0.122434\pi$
$468$	−16.5196	−	1.70640i	−0.763620	−	0.0788781i
$469$	10.5325	−	7.67725i	0.486346	−	0.354502i
$470$	−3.85767	+	14.3970i	−0.177941	+	0.664086i
$471$	−5.20444	+	31.0709i	−0.239808	+	1.43167i
$472$			9.08480i			0.418162i
$473$	−7.46115	+	27.8454i	−0.343064	+	1.28033i
$474$	9.30212	+	4.24097i	0.427261	+	0.194794i
$475$	−23.0032	+	6.16370i	−1.05546	+	0.282810i
$476$	−2.29150	+	0.883694i	−0.105031	+	0.0405040i
$477$	−3.03104	−	3.48900i	−0.138782	−	0.159750i
$478$			43.3783i			1.98408i
$479$	−5.36518	−	20.0231i	−0.245141	−	0.914879i	−0.973312	−	0.229484i	$-0.926296\pi$
$479$	−5.36518	−	20.0231i	−0.245141	−	0.914879i	0.728171	−	0.685395i	$-0.240371\pi$
$480$	−16.0251	−	42.8813i	−0.731440	−	1.95725i
$481$	−12.2911	−	22.9994i	−0.560424	−	1.04868i
$482$		−	28.1011i		−	1.27997i
$483$	−3.95747	+	11.8826i	−0.180071	+	0.540676i
$484$	−15.9377	−	27.6049i	−0.724441	−	1.25477i
$485$	16.5014	+	28.5813i	0.749291	+	1.29781i
$486$	−13.5138	−	26.0091i	−0.612998	−	1.17979i
$487$	−6.10785	+	6.10785i	−0.276773	+	0.276773i	−0.831819	−	0.555046i	$-0.812700\pi$
$487$	−6.10785	+	6.10785i	−0.276773	+	0.276773i	0.555046	+	0.831819i	$0.312700\pi$
$488$	−0.920757	−	0.246716i	−0.0416807	−	0.0111683i
$489$	23.3815	−	16.6724i	1.05735	−	0.753951i
$490$	47.7908	−	10.3129i	2.15897	−	0.465890i
$491$	−18.2214	−	31.5604i	−0.822321	−	1.42430i	−0.903950	−	0.427638i	$-0.859346\pi$
$491$	−18.2214	−	31.5604i	−0.822321	−	1.42430i	0.0816292	−	0.996663i	$-0.473988\pi$
$492$	10.0702	+	14.1226i	0.454001	+	0.636695i
$493$	−0.0283938	+	0.0163932i	−0.00127879	+	0.000738311i
$494$	−4.16540	−	17.8710i	−0.187410	−	0.804054i
$495$	−47.4107	+	41.1877i	−2.13095	+	1.85125i
$496$	22.4151	+	6.00610i	1.00647	+	0.269682i
$497$	3.57832	+	4.90914i	0.160510	+	0.220205i
$498$	16.2570	−	19.7151i	0.728494	−	0.883454i
$499$	−9.30967	−	34.7442i	−0.416758	−	1.55536i	−0.781288	−	0.624171i	$-0.785437\pi$
$499$	−9.30967	−	34.7442i	−0.416758	−	1.55536i	0.364530	−	0.931192i	$-0.381230\pi$
$500$	−15.3178	−	15.3178i	−0.685033	−	0.685033i
$501$	−8.40231	−	11.7835i	−0.375387	−	0.526447i
$502$	28.0685	−	7.52093i	1.25276	−	0.335675i
$503$	11.3014	+	6.52484i	0.503903	+	0.290928i	0.730324	−	0.683101i	$-0.239369\pi$
$503$	11.3014	+	6.52484i	0.503903	+	0.290928i	−0.226421	+	0.974030i	$0.572703\pi$
$504$	−1.55151	+	6.75843i	−0.0691096	+	0.301045i
$505$	4.37233	−	16.3178i	0.194566	−	0.726131i
$506$	14.4802	−	25.0805i	0.643725	−	1.11496i
$507$	6.48237	+	21.5634i	0.287892	+	0.957663i
$508$	2.98724	+	5.17405i	0.132537	+	0.229561i
$509$	14.0216	+	14.0216i	0.621497	+	0.621497i	0.945914	−	0.324417i	$-0.105168\pi$
$509$	14.0216	+	14.0216i	0.621497	+	0.621497i	−0.324417	+	0.945914i	$0.605168\pi$
$510$	−2.56036	−	6.85123i	−0.113374	−	0.303377i
$511$	10.4686	−	1.11667i	0.463102	−	0.0493986i
$512$	17.8903	+	17.8903i	0.790647	+	0.790647i
$513$	9.68623	−	10.1976i	0.427657	−	0.450237i
$514$	11.3520	+	11.3520i	0.500717	+	0.500717i
$515$	24.7137	+	6.62203i	1.08902	+	0.291801i
$516$	12.7423	−	4.76191i	0.560950	−	0.209631i
$517$	−10.4154	+	6.01333i	−0.458069	+	0.264466i
$518$	33.5704	−	12.9461i	1.47500	−	0.568819i
$519$	6.77563	−	40.4509i	0.297417	−	1.77560i
$520$	−8.54058	+	7.99783i	−0.374529	+	0.350728i
$521$	−34.8757	+	20.1355i	−1.52793	+	0.882151i	−0.528482	+	0.848944i	$0.677239\pi$
$521$	−34.8757	+	20.1355i	−1.52793	+	0.882151i	−0.999448	+	0.0332069i	$0.989428\pi$
$522$	0.0214326	−	0.305139i	0.000938081	−	0.0133556i
$523$	−9.65007			−0.421968			−0.210984	−	0.977489i	$-0.567667\pi$
$523$	−9.65007			−0.421968			−0.210984	+	0.977489i	$0.567667\pi$
$524$	−0.906610	+	1.57029i	−0.0396054	+	0.0685986i
$525$	8.09326	+	39.4981i	0.353219	+	1.72384i
$526$	−6.12916	−	22.8743i	−0.267244	−	0.997369i
$527$	2.87523	+	0.770416i	0.125247	+	0.0335599i
$528$	19.0860	−	41.8631i	0.830610	−	1.82186i
$529$	−15.5306			−0.675244
$530$	10.7600			0.467384
$531$	−25.8578	−	17.4530i	−1.12213	−	0.757396i
$532$	10.9333	−	1.16624i	0.474019	−	0.0505631i
$533$	12.4201	−	19.9695i	0.537975	−	0.864977i
$534$	−34.2456	−	28.2389i	−1.48195	−	1.22202i
$535$	−7.22812	−	26.9757i	−0.312499	−	1.16626i
$536$	−3.72712	−	2.15185i	−0.160987	−	0.0929459i
$537$	−2.13320	+	0.797193i	−0.0920544	+	0.0344014i
$538$	22.1121	−	22.1121i	0.953320	−	0.953320i
$539$	33.1516	+	21.3834i	1.42794	+	0.921046i
$540$	28.8130	+	6.93160i	1.23992	+	0.298289i
$541$	10.4810	−	2.80838i	0.450615	−	0.120742i	−0.0263722	−	0.999652i	$-0.508396\pi$
$541$	10.4810	−	2.80838i	0.450615	−	0.120742i	0.476987	+	0.878910i	$0.341729\pi$
$542$			43.9948i			1.88974i
$543$	−1.23869	+	1.50218i	−0.0531574	+	0.0644647i
$544$	3.04181	+	3.04181i	0.130416	+	0.130416i
$545$	−29.9706			−1.28380
$546$	−30.6228	+	5.23450i	−1.31053	+	0.224016i
$547$	−6.62360			−0.283205			−0.141602	−	0.989924i	$-0.545225\pi$
$547$	−6.62360			−0.283205			−0.141602	+	0.989924i	$0.545225\pi$
$548$	−5.59961	−	5.59961i	−0.239204	−	0.239204i
$549$	2.47111	−	2.14675i	0.105464	−	0.0916212i
$550$		−	93.2310i		−	3.97539i
$551$	0.141781	−	0.0379902i	0.00604008	−	0.00161844i
$552$	4.11656	−	0.395734i	0.175212	−	0.0168436i
$553$	8.20516	+	1.28656i	0.348919	+	0.0547100i
$554$	−25.0845	+	25.0845i	−1.06574	+	1.06574i
$555$	16.2898	+	43.5896i	0.691462	+	1.85028i
$556$	−13.2425	−	7.64558i	−0.561608	−	0.324245i
$557$	−6.61083	−	24.6720i	−0.280110	−	1.04538i	−0.952339	−	0.305041i	$-0.901330\pi$
$557$	−6.61083	−	24.6720i	−0.280110	−	1.04538i	0.672229	−	0.740343i	$-0.265337\pi$
$558$	−20.9652	+	18.2134i	−0.887528	+	0.771033i
$559$	−12.6065	−	13.4620i	−0.533199	−	0.569383i
$560$	−27.2858	−	37.4337i	−1.15303	−	1.58186i
$561$	2.44820	−	5.36987i	0.103363	−	0.226716i
$562$	17.3115			0.730240
$563$	−32.9124			−1.38709			−0.693547	−	0.720411i	$-0.743953\pi$
$563$	−32.9124			−1.38709			−0.693547	+	0.720411i	$0.743953\pi$
$564$	5.16374	+	2.35422i	0.217433	+	0.0991306i
$565$	−65.7255	−	17.6111i	−2.76509	−	0.740904i
$566$	4.32703	+	16.1487i	0.181879	+	0.678780i
$567$	−16.2557	−	17.3998i	−0.682675	−	0.730722i
$568$	1.00297	−	1.73719i	0.0420835	−	0.0728908i
$569$	−10.0571			−0.421614			−0.210807	−	0.977528i	$-0.567609\pi$
$569$	−10.0571			−0.421614			−0.210807	+	0.977528i	$0.567609\pi$
$570$	3.13335	+	32.5942i	0.131242	+	1.36522i
$571$	6.98744	−	4.03420i	0.292415	−	0.168826i	−0.346615	−	0.938007i	$-0.612669\pi$
$571$	6.98744	−	4.03420i	0.292415	−	0.168826i	0.639031	+	0.769181i	$0.279336\pi$
$572$	31.1814	+	1.02331i	1.30376	+	0.0427867i
$573$	30.8844	+	5.17321i	1.29021	+	0.216114i
$574$	25.2476	+	20.3805i	1.05381	+	0.850665i
$575$	20.8243	−	12.0229i	0.868434	−	0.501391i
$576$	−11.6373	+	2.25831i	−0.484887	+	0.0940962i
$577$	20.5995	+	5.51963i	0.857570	+	0.229785i	0.660705	−	0.750646i	$-0.270257\pi$
$577$	20.5995	+	5.51963i	0.857570	+	0.229785i	0.196865	+	0.980431i	$0.436924\pi$
$578$	−22.1162	−	22.1162i	−0.919914	−	0.919914i
$579$	−34.9494	−	15.9339i	−1.45245	−	0.662191i
$580$	0.218694	+	0.218694i	0.00908077	+	0.00908077i
$581$	8.41435	−	18.9779i	0.349086	−	0.787336i
$582$	27.1038	−	10.1289i	1.12349	−	0.419856i
$583$	6.13922	+	6.13922i	0.254260	+	0.254260i
$584$	−1.73817	−	3.01060i	−0.0719261	−	0.124580i
$585$	−6.35649	−	39.6736i	−0.262808	−	1.64030i
$586$	−8.28769	+	14.3547i	−0.342361	+	0.592987i
$587$	1.34299	−	5.01211i	0.0554312	−	0.206872i	−0.932656	−	0.360767i	$-0.882515\pi$
$587$	1.34299	−	5.01211i	0.0554312	−	0.206872i	0.988087	+	0.153895i	$0.0491817\pi$
$588$	−0.866648	−	18.5951i	−0.0357400	−	0.766851i
$589$	−11.5410	−	6.66318i	−0.475537	−	0.274551i
$590$	70.1553	−	18.7981i	2.88825	−	0.773904i
$591$	0.324529	−	0.231409i	0.0133494	−	0.00951887i
$592$	−24.1054	−	24.1054i	−0.990726	−	0.990726i
$593$	−3.31943	−	12.3883i	−0.136313	−	0.508726i	−0.999989	−	0.00467892i	$-0.998511\pi$
$593$	−3.31943	−	12.3883i	−0.136313	−	0.508726i	0.863676	−	0.504047i	$-0.168156\pi$
$594$	28.7475	+	46.9607i	1.17952	+	1.92682i
$595$	−3.50001	−	4.80170i	−0.143486	−	0.196851i
$596$	−26.4188	−	7.07889i	−1.08216	−	0.289963i
$597$	22.3305	−	27.0805i	0.913926	−	1.10833i
$598$	8.73277	+	16.3411i	0.357110	+	0.668236i
$599$	10.4916	−	6.05735i	0.428677	−	0.247497i	−0.270106	−	0.962831i	$-0.587059\pi$
$599$	10.4916	−	6.05735i	0.428677	−	0.247497i	0.698783	+	0.715334i	$0.253725\pi$
$600$	10.8398	−	7.72940i	0.442532	−	0.315552i
$601$	−0.436511	−	0.756059i	−0.0178057	−	0.0308403i	0.856985	−	0.515341i	$-0.172335\pi$
$601$	−0.436511	−	0.756059i	−0.0178057	−	0.0308403i	−0.874791	+	0.484501i	$0.839001\pi$
$602$	20.5636	−	14.9890i	0.838109	−	0.610905i
$603$	13.2850	−	6.47442i	0.541007	−	0.263659i
$604$	−14.4822	−	3.88049i	−0.589272	−	0.157895i
$605$	54.5307	−	54.5307i	2.21699	−	2.21699i
$606$	−13.4764	−	6.14408i	−0.547442	−	0.249586i
$607$	−11.6161	−	20.1197i	−0.471483	−	0.816633i	0.527984	−	0.849254i	$-0.322948\pi$
$607$	−11.6161	−	20.1197i	−0.471483	−	0.816633i	−0.999468	+	0.0326210i	$0.989615\pi$
$608$	−9.62940	−	16.6786i	−0.390524	−	0.676407i
$609$	−0.0498831	−	0.243448i	−0.00202136	−	0.00986501i
$610$			7.62084i			0.308559i
$611$	0.252376	−	7.69020i	0.0102101	−	0.311112i
$612$	−2.73383	+	0.530521i	−0.110508	+	0.0214450i
$613$	10.9360	+	40.8135i	0.441699	+	1.64844i	0.724508	+	0.689267i	$0.242067\pi$
$613$	10.9360	+	40.8135i	0.441699	+	1.64844i	−0.282809	+	0.959176i	$0.591266\pi$
$614$		−	32.9503i		−	1.32977i
$615$	−26.6976	+	32.3766i	−1.07655	+	1.30555i
$616$	2.01786	−	12.8691i	0.0813019	−	0.518512i
$617$	−14.4574	+	3.87384i	−0.582031	+	0.155955i	−0.537809	−	0.843067i	$-0.680748\pi$
$617$	−14.4574	+	3.87384i	−0.582031	+	0.155955i	−0.0442226	+	0.999022i	$0.514081\pi$
$618$	9.30540	−	20.4104i	0.374318	−	0.821028i
$619$	−7.32553	+	27.3392i	−0.294438	+	1.09886i	0.647225	+	0.762299i	$0.275929\pi$
$619$	−7.32553	+	27.3392i	−0.294438	+	1.09886i	−0.941663	+	0.336558i	$0.890737\pi$
$620$		−	28.0794i		−	1.12770i
$621$	−6.78203	+	12.4771i	−0.272154	+	0.500688i
$622$	−12.3547	+	46.1084i	−0.495379	+	1.84878i
$623$	−32.9651	−	14.6159i	−1.32072	−	0.585576i
$624$	16.2940	+	24.5138i	0.652283	+	0.981339i
$625$	4.20916	−	7.29047i	0.168366	−	0.291619i
$626$	34.1791	−	9.15825i	1.36607	−	0.366037i
$627$	−16.8092	+	20.3847i	−0.671293	+	0.814086i
$628$	−24.1849	+	13.9631i	−0.965081	+	0.557190i
$629$	−3.09205	−	3.09205i	−0.123288	−	0.123288i
$630$	55.4008	−	2.00324i	2.20722	−	0.0798108i
$631$	−30.8679	+	8.27103i	−1.22883	+	0.329264i	−0.814124	−	0.580690i	$-0.802783\pi$
$631$	−30.8679	+	8.27103i	−1.22883	+	0.329264i	−0.414707	+	0.909955i	$0.636116\pi$
$632$	−0.709801	−	2.64901i	−0.0282344	−	0.105372i
$633$	5.05876	−	30.2011i	0.201067	−	1.20039i
$634$	−20.2839	−	11.7109i	−0.805576	−	0.465099i
$635$	−10.2208	+	10.2208i	−0.405601	+	0.405601i
$636$	0.676810	−	4.04060i	0.0268373	−	0.160220i
$637$	−22.8185	+	10.7851i	−0.904100	+	0.427321i
$638$			0.574633i			0.0227499i
$639$	3.01769	+	6.19206i	0.119378	+	0.244954i
$640$	−12.6305	+	21.8766i	−0.499264	+	0.864750i
$641$	12.5013			0.493773			0.246886	−	0.969044i	$-0.420593\pi$
$641$	12.5013			0.493773			0.246886	+	0.969044i	$0.420593\pi$
$642$	−24.3723	+	2.34297i	−0.961899	+	0.0924695i
$643$	6.61108	+	24.6729i	0.260716	+	0.973004i	0.964821	+	0.262908i	$0.0846817\pi$
$643$	6.61108	+	24.6729i	0.260716	+	0.973004i	−0.704105	+	0.710096i	$0.748652\pi$
$644$	−10.3585	+	3.99465i	−0.408182	+	0.157411i
$645$	19.1072	+	26.7961i	0.752344	+	1.05509i
$646$	−1.53851	−	2.66478i	−0.0605318	−	0.104844i
$647$	−10.5450	+	18.2645i	−0.414566	+	0.718050i	−0.995383	−	0.0959848i	$-0.969400\pi$
$647$	−10.5450	+	18.2645i	−0.414566	+	0.718050i	0.580817	+	0.814034i	$0.302733\pi$
$648$	−3.07669	+	7.23573i	−0.120864	+	0.284246i
$649$	50.7532	+	29.3024i	1.99224	+	1.15022i
$650$	50.6496	+	31.5016i	1.98664	+	1.23560i
$651$	−12.4265	+	18.8313i	−0.487032	+	0.738056i
$652$	24.5886	+	6.58849i	0.962963	+	0.258025i
$653$		−	9.35440i		−	0.366066i	−0.983107	−	0.183033i	$-0.941409\pi$
$653$		−	9.35440i		−	0.366066i	0.983107	−	0.183033i	$-0.0585915\pi$
$654$	−4.34084	+	25.9151i	−0.169740	+	1.01336i
$655$	−4.23735	−	1.13540i	−0.165567	−	0.0443636i
$656$	7.95676	−	29.6950i	0.310659	−	1.15940i
$657$	11.9082	+	0.836423i	0.464585	+	0.0326320i
$658$	10.4880	+	1.64450i	0.408864	+	0.0641093i
$659$	8.23487	+	4.75440i	0.320785	+	0.185205i	0.651742	−	0.758440i	$-0.274038\pi$
$659$	8.23487	+	4.75440i	0.320785	+	0.185205i	−0.330958	+	0.943646i	$0.607372\pi$
$660$	−54.9063	−	9.19693i	−2.13722	−	0.357990i
$661$	−46.8199	+	12.5454i	−1.82108	+	0.487958i	−0.996922	−	0.0783963i	$-0.975020\pi$
$661$	−46.8199	+	12.5454i	−1.82108	+	0.487958i	−0.824162	+	0.566354i	$0.808353\pi$
$662$	29.2855	+	50.7239i	1.13821	+	1.97144i
$663$	2.09007	+	3.14444i	0.0811716	+	0.122120i
$664$	−6.85486			−0.266020
$665$	9.57160	+	24.8200i	0.371171	+	0.962479i
$666$	40.0505	−	7.77212i	1.55193	−	0.301164i
$667$	−0.128351	+	0.0741037i	−0.00496979	+	0.00286931i
$668$	3.32037	−	12.3918i	0.128469	−	0.479453i
$669$	6.58553	+	9.23561i	0.254611	+	0.357069i
$670$	−8.90513	+	33.2344i	−0.344035	+	1.28396i
$671$	−4.34814	+	4.34814i	−0.167858	+	0.167858i
$672$	−29.1595	+	14.5891i	−1.12485	+	0.562787i
$673$	9.99482	−	5.77051i	0.385272	−	0.222437i	−0.294838	−	0.955547i	$-0.595266\pi$
$673$	9.99482	−	5.77051i	0.385272	−	0.222437i	0.680110	+	0.733110i	$0.261932\pi$
$674$	−35.3881	+	35.3881i	−1.36310	+	1.36310i
$675$	1.17544	+	45.7021i	0.0452427	+	1.75907i
$676$	−11.0917	+	16.5941i	−0.426605	+	0.638236i
$677$	38.2430	+	22.0796i	1.46980	+	0.848587i	0.999426	−	0.0338820i	$-0.0107870\pi$
$677$	38.2430	+	22.0796i	1.46980	+	0.848587i	0.470370	+	0.882469i	$0.344120\pi$
$678$	−24.7474	+	54.2810i	−0.950420	+	2.08465i
$679$	18.9958	−	13.8462i	0.728990	−	0.531368i
$680$	−0.981016	+	1.69917i	−0.0376202	+	0.0651602i
$681$	2.47924	+	25.7899i	0.0950047	+	0.988270i
$682$	36.8903	−	36.8903i	1.41260	−	1.41260i
$683$	−20.8909	+	20.8909i	−0.799370	+	0.799370i	−0.982996	−	0.183626i	$-0.941216\pi$
$683$	−20.8909	+	20.8909i	−0.799370	+	0.799370i	0.183626	+	0.982996i	$0.441216\pi$
$684$	12.4369	+	0.873555i	0.475537	+	0.0334012i
$685$	9.57952	−	16.5922i	0.366014	−	0.633956i
$686$	−10.9145	−	33.0682i	−0.416716	−	1.26255i
$687$	4.36034	+	1.98794i	0.166357	+	0.0758447i
$688$	−20.8798	−	12.0550i	−0.796037	−	0.459592i
$689$	−5.40961	+	1.26088i	−0.206090	+	0.0480358i
$690$	−11.5738	−	30.9703i	−0.440609	−	1.17902i
$691$	20.0104	−	20.0104i	0.761233	−	0.761233i	−0.215312	−	0.976545i	$-0.569077\pi$
$691$	20.0104	−	20.0104i	0.761233	−	0.761233i	0.976545	+	0.215312i	$0.0690770\pi$
$692$	31.4861	−	18.1785i	1.19692	−	0.691044i
$693$	32.7524	+	30.4665i	1.24416	+	1.15733i
$694$	0.291658	−	0.291658i	0.0110712	−	0.0110712i
$695$	9.57496	−	35.7342i	0.363199	−	1.35548i
$696$	−0.0668114	+	0.0476404i	−0.00253248	+	0.00180581i
$697$	1.02063	−	3.80905i	0.0386592	−	0.144278i
$698$	5.31393	−	3.06800i	0.201135	−	0.116125i
$699$	2.00461	−	0.749139i	0.0758214	−	0.0283350i
$700$	−22.4491	+	27.8102i	−0.848497	+	1.05113i
$701$	12.9133			0.487729			0.243865	−	0.969809i	$-0.421585\pi$
$701$	12.9133			0.487729			0.243865	+	0.969809i	$0.421585\pi$
$702$	−35.2257	−	0.249832i	−1.32951	−	0.00942931i
$703$	9.78846	+	16.9541i	0.369179	+	0.639436i
$704$	21.5104	−	5.76368i	0.810702	−	0.217227i
$705$	−2.26822	+	13.5414i	−0.0854261	+	0.509999i
$706$	−19.2597	−	11.1196i	−0.724848	−	0.418491i
$707$	−11.8872	−	1.86390i	−0.447064	−	0.0700990i
$708$	−2.64625	−	27.5272i	−0.0994523	−	1.03454i
$709$	5.97345	−	22.2932i	0.224337	−	0.837239i	−0.758331	−	0.651869i	$-0.773985\pi$
$709$	5.97345	−	22.2932i	0.224337	−	0.837239i	0.982669	−	0.185370i	$-0.0593482\pi$
$710$	−15.4904	−	4.15063i	−0.581343	−	0.155770i
$711$	8.90342	+	3.06879i	0.333904	+	0.115089i
$712$			11.9071i			0.446237i
$713$	12.9972	+	3.48259i	0.486749	+	0.130424i
$714$	−4.65888	+	2.33093i	−0.174354	+	0.0872330i
$715$	17.1337	+	73.5093i	0.640763	+	2.74909i
$716$	−1.74824	−	1.00935i	−0.0653348	−	0.0377210i
$717$	3.82374	+	39.7758i	0.142800	+	1.48545i
$718$	−33.1682	+	57.4491i	−1.23783	+	2.14398i
$719$	3.19930	+	5.54135i	0.119314	+	0.206658i	0.919496	−	0.393100i	$-0.128597\pi$
$719$	3.19930	+	5.54135i	0.119314	+	0.206658i	−0.800182	+	0.599757i	$0.795264\pi$
$720$	−23.0108	−	47.2164i	−0.857562	−	1.75965i
$721$	2.82293	−	18.0035i	0.105131	−	0.670486i
$722$	−5.68088	−	21.2013i	−0.211420	−	0.789032i
$723$	−2.47707	−	25.7673i	−0.0921232	−	0.958296i
$724$	−1.72593			−0.0641436
$725$	−0.238559	+	0.413196i	−0.00885984	+	0.0153457i
$726$	−39.2538	−	55.0498i	−1.45684	−	2.04309i
$727$		−	8.03354i		−	0.297948i	−0.988841	−	0.148974i	$-0.952403\pi$
$727$		−	8.03354i		−	0.297948i	0.988841	−	0.148974i	$-0.0475970\pi$
$728$	6.30959	+	5.44456i	0.233849	+	0.201789i
$729$	−14.6841	−	22.6578i	−0.543857	−	0.839178i
$730$	−19.6521	+	19.6521i	−0.727358	+	0.727358i
$731$	−2.67830	−	1.54632i	−0.0990606	−	0.0571927i
$732$	2.86179	+	0.479356i	0.105775	+	0.0177175i
$733$	7.91986	+	29.5573i	0.292527	+	1.09172i	0.943162	+	0.332334i	$0.107836\pi$
$733$	7.91986	+	29.5573i	0.292527	+	1.09172i	−0.650635	+	0.759390i	$0.725497\pi$
$734$	4.20411	−	1.12649i	0.155176	−	0.0415794i
$735$	42.9127	−	13.6691i	1.58286	−	0.504193i
$736$	13.7502	+	13.7502i	0.506839	+	0.506839i
$737$	−24.0431	+	13.8813i	−0.885640	+	0.511324i
$738$	24.1287	+	27.7743i	0.888189	+	1.02239i
$739$	47.6673	−	12.7724i	1.75347	−	0.469841i	0.768109	−	0.640319i	$-0.221198\pi$
$739$	47.6673	−	12.7724i	1.75347	−	0.469841i	0.985361	+	0.170479i	$0.0545314\pi$
$740$	−20.6249	+	35.7233i	−0.758185	+	1.31322i
$741$	−5.39477	−	16.0196i	−0.198182	−	0.588496i
$742$	−0.812885	−	7.62064i	−0.0298420	−	0.279763i
$743$	2.06764	−	7.71653i	0.0758543	−	0.283092i	−0.917571	−	0.397571i	$-0.869853\pi$
$743$	2.06764	−	7.71653i	0.0758543	−	0.283092i	0.993426	+	0.114479i	$0.0365199\pi$
$744$	7.34758	+	1.23074i	0.269375	+	0.0451210i
$745$		−	66.1713i		−	2.42433i
$746$	−6.23783	+	23.2799i	−0.228383	+	0.852338i
$747$	13.1690	−	19.5108i	0.481829	−	0.713863i
$748$	5.05320	−	1.35400i	0.184763	−	0.0495072i
$749$	−18.5592	+	7.15717i	−0.678138	+	0.261517i
$750$	−35.4509	−	29.2327i	−1.29448	−	1.06743i
$751$			4.38879i			0.160149i	0.996789	+	0.0800746i	$0.0255159\pi$
$751$			4.38879i			0.160149i	−0.996789	+	0.0800746i	$0.974484\pi$
$752$	−2.60333	−	9.71575i	−0.0949336	−	0.354297i
$753$	25.0744	−	9.37051i	0.913764	−	0.341480i
$754$	−0.312180	−	0.194161i	−0.0113689	−	0.00707094i
$755$		−	36.2736i		−	1.32013i
$756$	2.73249	−	20.9302i	0.0993797	−	0.761223i
$757$	−15.7004	−	27.1939i	−0.570641	−	0.988379i	−0.996500	−	0.0835899i	$-0.973361\pi$
$757$	−15.7004	−	27.1939i	−0.570641	−	0.988379i	0.425859	−	0.904789i	$-0.359972\pi$
$758$	10.1516	+	17.5831i	0.368723	+	0.638647i
$759$	11.0668	−	24.2740i	0.401701	−	0.881090i
$760$	6.21117	−	6.21117i	0.225303	−	0.225303i
$761$	23.6730	+	6.34317i	0.858147	+	0.229940i	0.660955	−	0.750425i	$-0.270151\pi$
$761$	23.6730	+	6.34317i	0.858147	+	0.229940i	0.197191	+	0.980365i	$0.436818\pi$
$762$	7.35741	+	10.3181i	0.266531	+	0.373785i
$763$	2.26419	+	21.2264i	0.0819693	+	0.768446i
$764$	13.8793	+	24.0397i	0.502137	+	0.869727i
$765$	−2.95165	−	6.05654i	−0.106717	−	0.218975i
$766$	19.3358	−	11.1635i	0.698630	−	0.403354i
$767$	−33.0680	+	17.6718i	−1.19402	+	0.638090i
$768$	27.6479	+	22.7983i	0.997656	+	0.822664i
$769$	−38.5907	−	10.3404i	−1.39162	−	0.372883i	−0.516290	−	0.856414i	$-0.672687\pi$
$769$	−38.5907	−	10.3404i	−1.39162	−	0.372883i	−0.875327	+	0.483531i	$0.839354\pi$
$770$	−103.554	+	11.0460i	−3.73183	+	0.398070i
$771$	11.4099	+	9.40859i	0.410918	+	0.338842i
$772$	−8.81242	−	32.8884i	−0.317166	−	1.18368i
$773$	−0.375752	−	0.375752i	−0.0135148	−	0.0135148i	0.700317	−	0.713832i	$-0.253042\pi$
$773$	−0.375752	−	0.375752i	−0.0135148	−	0.0135148i	−0.713832	+	0.700317i	$0.753042\pi$
$774$	25.9375	−	12.6406i	0.932305	−	0.454357i
$775$	41.8413	−	11.2113i	1.50298	−	0.402723i
$776$	−6.72199	−	3.88094i	−0.241305	−	0.139318i
$777$	29.6412	−	14.8301i	1.06337	−	0.532027i
$778$	−2.83795	+	10.5914i	−0.101745	+	0.379719i
$779$	−8.82724	+	15.2892i	−0.316269	+	0.547793i
$780$	23.5486	−	26.7214i	0.843174	−	0.956778i
$781$	−6.46999	−	11.2064i	−0.231515	−	0.400995i
$782$	2.19690	+	2.19690i	0.0785609	+	0.0785609i
$783$	−0.00724486	−	0.281686i	−0.000258910	−	0.0100666i
$784$	−24.4506	+	22.1529i	−0.873237	+	0.791173i
$785$	−47.7748	−	47.7748i	−1.70515	−	1.70515i
$786$	−1.59548	+	3.49952i	−0.0569089	+	0.124824i
$787$	5.49343	+	5.49343i	0.195819	+	0.195819i	0.798205	−	0.602386i	$-0.205783\pi$
$787$	5.49343	+	5.49343i	0.195819	+	0.195819i	−0.602386	+	0.798205i	$0.705783\pi$
$788$	0.341283	+	0.0914466i	0.0121577	+	0.00325765i
$789$	−7.63648	−	20.4344i	−0.271866	−	0.727482i
$790$	−18.9877	+	10.9626i	−0.675552	+	0.390030i
$791$	−7.50749	+	47.8798i	−0.266936	+	1.70241i
$792$	4.81314	−	13.9643i	0.171028	−	0.496199i
$793$	−0.893028	−	3.83140i	−0.0317124	−	0.136057i
$794$	−8.09220	+	4.67203i	−0.287181	+	0.165804i
$795$	9.86638	−	0.948477i	0.349924	−	0.0336390i
$796$	31.1141			1.10281
$797$	−22.0874	+	38.2564i	−0.782375	+	1.35511i	0.148180	+	0.988960i	$0.452658\pi$
$797$	−22.0874	+	38.2564i	−0.782375	+	1.35511i	−0.930555	+	0.366152i	$0.880675\pi$
$798$	22.8478	−	4.68156i	0.808802	−	0.165725i
$799$	−0.333934	−	1.24626i	−0.0118138	−	0.0440895i
$800$	60.4676	+	16.2023i	2.13785	+	0.572836i
$801$	−33.8908	−	22.8749i	−1.19747	−	0.808246i
$802$	−36.3080			−1.28208
$803$	−22.4254			−0.791376
$804$	11.9201	+	5.43453i	0.420389	+	0.191661i
$805$	−15.8214	−	21.7056i	−0.557633	−	0.765024i
$806$	7.57658	+	32.5061i	0.266874	+	1.14498i
$807$	18.3265	−	22.2248i	0.645125	−	0.782351i
$808$	1.02832	+	3.83775i	0.0361762	+	0.135011i
$809$	22.7086	+	13.1108i	0.798391	+	0.460952i	0.842908	−	0.538057i	$-0.180842\pi$
$809$	22.7086	+	13.1108i	0.798391	+	0.460952i	−0.0445169	+	0.999009i	$0.514175\pi$
$810$	62.2425	+	8.78705i	2.18698	+	0.308746i
$811$	36.9479	−	36.9479i	1.29742	−	1.29742i	0.367323	−	0.930094i	$-0.380274\pi$
$811$	36.9479	−	36.9479i	1.29742	−	1.29742i	0.930094	−	0.367323i	$-0.119726\pi$
$812$	0.138366	−	0.171409i	0.00485569	−	0.00601528i
$813$	3.87808	+	40.3411i	0.136010	+	1.41482i
$814$	−74.0293	+	19.8361i	−2.59472	+	0.695254i
$815$			61.5872i			2.15730i
$816$	3.80811	+	3.14015i	0.133310	+	0.109927i
$817$	9.79031	+	9.79031i	0.342520	+	0.342520i
$818$	−19.2293			−0.672338
$819$	−27.6182	+	7.49913i	−0.965057	+	0.262041i
$820$	−37.1990			−1.29905
$821$	−29.1458	−	29.1458i	−1.01720	−	1.01720i	−0.999850	−	0.0173471i	$-0.994478\pi$
$821$	−29.1458	−	29.1458i	−1.01720	−	1.01720i	−0.0173471	−	0.999850i	$-0.505522\pi$
$822$	−12.9595	−	10.6864i	−0.452016	−	0.372731i
$823$			21.5674i			0.751792i	0.926662	+	0.375896i	$0.122665\pi$
$823$			21.5674i			0.751792i	−0.926662	+	0.375896i	$0.877335\pi$
$824$	−5.81238	+	1.55742i	−0.202484	+	0.0542554i
$825$	−8.21818	−	85.4883i	−0.286120	−	2.97632i
$826$	−18.6136	−	48.2666i	−0.647648	−	1.67941i
$827$	29.3146	−	29.3146i	1.01937	−	1.01937i	0.0195606	−	0.999809i	$-0.493773\pi$
$827$	29.3146	−	29.3146i	1.01937	−	1.01937i	0.999809	−	0.0195606i	$-0.00622673\pi$
$828$	−12.3580	+	2.39817i	−0.429471	+	0.0833422i
$829$	−38.6316	−	22.3040i	−1.34173	−	0.774650i	−0.354671	−	0.934991i	$-0.615407\pi$
$829$	−38.6316	−	22.3040i	−1.34173	−	0.774650i	−0.987062	+	0.160342i	$0.948740\pi$
$830$	14.1839	+	52.9351i	0.492331	+	1.83740i
$831$	−20.7901	+	25.2124i	−0.721199	+	0.874607i
$832$	−4.13685	+	13.6334i	−0.143420	+	0.472653i
$833$	−3.13634	+	2.84160i	−0.108668	+	0.0984554i
$834$	−29.5120	−	13.4549i	−1.02192	−	0.465906i
$835$	31.0378			1.07411
$836$	−23.4210			−0.810031
$837$	−17.6186	+	18.5488i	−0.608987	+	0.641140i
$838$	4.79398	+	1.28454i	0.165605	+	0.0443738i
$839$	−3.53087	−	13.1774i	−0.121899	−	0.454934i	0.877811	−	0.479007i	$-0.159003\pi$
$839$	−3.53087	−	13.1774i	−0.121899	−	0.454934i	−0.999710	+	0.0240731i	$0.992337\pi$
$840$	−9.86955	−	11.1243i	−0.340532	−	0.383823i
$841$	−14.4985	+	25.1122i	−0.499949	+	0.865938i
$842$	−54.6397			−1.88301
$843$	15.8738	−	1.52598i	0.546721	−	0.0525575i
$844$	23.5079	−	13.5723i	0.809175	−	0.467177i
$845$	−45.7246	−	15.5297i	−1.57297	−	0.534238i
$846$	11.3805	+	3.92258i	0.391270	+	0.134861i
$847$	−42.7404	−	34.5012i	−1.46858	−	1.18547i
$848$	−6.28848	+	3.63065i	−0.215947	+	0.124677i
$849$	5.39116	+	14.4261i	0.185024	+	0.495104i
$850$	9.66104	+	2.58867i	0.331371	+	0.0887906i
$851$	−13.9773	−	13.9773i	−0.479137	−	0.479137i
$852$	−2.53300	+	5.55588i	−0.0867792	+	0.190341i
$853$	−21.9441	−	21.9441i	−0.751353	−	0.751353i	0.223379	−	0.974732i	$-0.428291\pi$
$853$	−21.9441	−	21.9441i	−0.751353	−	0.751353i	−0.974732	+	0.223379i	$0.928291\pi$
$854$	5.39737	−	0.575732i	0.184694	−	0.0197011i
$855$	5.74626	+	29.6111i	0.196518	+	1.01268i
$856$	4.64440	+	4.64440i	0.158742	+	0.158742i
$857$	−19.1664	−	33.1973i	−0.654713	−	1.13400i	−0.981966	−	0.189060i	$-0.939456\pi$
$857$	−19.1664	−	33.1973i	−0.654713	−	1.13400i	0.327252	−	0.944937i	$-0.393877\pi$
$858$	66.0438	−	4.16837i	2.25470	−	0.142306i
$859$	5.44001	−	9.42237i	0.185611	−	0.321487i	−0.758171	−	0.652055i	$-0.773907\pi$
$859$	5.44001	−	9.42237i	0.185611	−	0.321487i	0.943782	+	0.330568i	$0.107240\pi$
$860$	−7.55065	+	28.1794i	−0.257475	+	0.960910i
$861$	24.9473	+	16.4624i	0.850201	+	0.561035i
$862$	20.5996	+	11.8932i	0.701626	+	0.405084i
$863$	38.9626	−	10.4400i	1.32630	−	0.355382i	0.474967	−	0.880003i	$-0.342460\pi$
$863$	38.9626	−	10.4400i	1.32630	−	0.355382i	0.851335	+	0.524622i	$0.175793\pi$
$864$	−35.4536	+	10.4839i	−1.20616	+	0.356668i
$865$	62.1977	+	62.1977i	2.11478	+	2.11478i
$866$	8.20559	+	30.6237i	0.278837	+	1.04064i
$867$	−22.2290	−	18.3300i	−0.754936	−	0.622518i
$868$	−19.8869	+	2.12132i	−0.675007	+	0.0720022i
$869$	−17.0884	−	4.57882i	−0.579684	−	0.155326i
$870$	0.506137	+	0.417359i	0.0171597	+	0.0141498i
$871$	0.582591	−	17.7522i	0.0197403	−	0.601511i
$872$	6.10439	−	3.52437i	0.206721	−	0.119350i
$873$	23.9600	−	11.6768i	0.810922	−	0.395201i
$874$	−6.95468	−	12.0459i	−0.235246	−	0.407457i
$875$	−34.1253	−	15.1304i	−1.15365	−	0.511499i
$876$	6.14365	+	8.61592i	0.207575	+	0.291105i
$877$	−2.23291	−	0.598305i	−0.0753999	−	0.0202033i	0.220922	−	0.975292i	$-0.429093\pi$
$877$	−2.23291	−	0.598305i	−0.0753999	−	0.0202033i	−0.296322	+	0.955088i	$0.595760\pi$
$878$	26.4049	−	26.4049i	0.891121	−	0.891121i
$879$	−6.33405	+	13.8931i	−0.213642	+	0.468602i
$880$	49.3357	+	85.4519i	1.66310	+	2.88058i
$881$	18.6503	+	32.3033i	0.628345	+	1.08833i	0.987884	+	0.155196i	$0.0496009\pi$
$881$	18.6503	+	32.3033i	0.628345	+	1.08833i	−0.359538	+	0.933130i	$0.617066\pi$
$882$	−5.60414	−	39.0857i	−0.188701	−	1.31608i
$883$			11.6828i			0.393156i	0.980488	+	0.196578i	$0.0629829\pi$
$883$			11.6828i			0.393156i	−0.980488	+	0.196578i	$0.937017\pi$
$884$	−0.971828	+	3.20275i	−0.0326861	+	0.107720i
$885$	62.6720	−	23.4210i	2.10669	−	0.787288i
$886$	1.00235	+	3.74081i	0.0336745	+	0.125675i
$887$			2.60291i			0.0873973i	0.999045	+	0.0436986i	$0.0139141\pi$
$887$			2.60291i			0.0873973i	−0.999045	+	0.0436986i	$0.986086\pi$
$888$	−8.44377	−	6.96271i	−0.283354	−	0.233653i
$889$	8.01093	+	6.46662i	0.268678	+	0.216884i
$890$	91.9497	−	24.6379i	3.08216	−	0.825863i
$891$	30.4995	+	40.5266i	1.02177	+	1.35769i
$892$	−2.60243	+	9.71240i	−0.0871358	+	0.325195i
$893$			5.77627i			0.193295i
$894$	−57.2172	−	9.58401i	−1.91363	−	0.320537i
$895$	1.26406	−	4.71753i	0.0422528	−	0.157690i
$896$	16.4481	+	7.29268i	0.549492	+	0.243631i
$897$	9.44796	+	14.2142i	0.315458	+	0.474597i
$898$	2.65658	−	4.60133i	0.0886512	−	0.153548i
$899$	−0.257890	+	0.0691015i	−0.00860112	+	0.00230466i
$900$	−30.5934	+	26.5778i	−1.01978	+	0.885926i
$901$	−0.806637	+	0.465712i	−0.0268730	+	0.0155151i
$902$	−48.8715	−	48.8715i	−1.62724	−	1.62724i
$903$	17.5345	−	15.5568i	0.583513	−	0.517698i
$904$	15.4579	−	4.14192i	0.514121	−	0.137758i
$905$	−1.08074	−	4.03336i	−0.0359249	−	0.134073i
$906$	−31.3652	−	5.25374i	−1.04204	−	0.174544i
$907$	−5.70874	−	3.29595i	−0.189556	−	0.109440i	0.402219	−	0.915544i	$-0.368239\pi$
$907$	−5.70874	−	3.29595i	−0.189556	−	0.109440i	−0.591775	+	0.806103i	$0.701572\pi$
$908$	−16.2399	+	16.2399i	−0.538940	+	0.538940i
$909$	−12.8988	−	4.44589i	−0.427826	−	0.147461i
$910$	28.9887	−	59.9901i	0.960967	−	1.98865i
$911$			49.2977i			1.63331i	0.577129	+	0.816653i	$0.304173\pi$
$911$			49.2977i			1.63331i	−0.577129	+	0.816653i	$0.695827\pi$
$912$	−12.8292	−	17.9918i	−0.424818	−	0.595769i
$913$	−22.1099	+	38.2954i	−0.731730	+	1.26739i
$914$	−12.1932			−0.403314
$915$	0.671766	+	6.98793i	0.0222079	+	0.231014i
$916$	1.09945	+	4.10321i	0.0363269	+	0.135574i
$917$	−0.484012	+	3.08683i	−0.0159835	+	0.101936i
$918$	−5.66449	+	1.67503i	−0.186956	+	0.0552842i
$919$	−12.3534	−	21.3967i	−0.407500	−	0.705811i	0.587109	−	0.809508i	$-0.300266\pi$
$919$	−12.3534	−	21.3967i	−0.407500	−	0.705811i	−0.994609	+	0.103697i	$0.966933\pi$
$920$	−4.43459	+	7.68093i	−0.146204	+	0.253233i
$921$	−2.90452	−	30.2138i	−0.0957073	−	0.995579i
$922$	−44.9173	−	25.9330i	−1.47927	−	0.854058i
$923$	8.27420	+	0.271542i	0.272349	+	0.00893791i
$924$	−2.36561	+	39.5816i	−0.0778230	+	1.30214i
$925$	−61.4665	−	16.4699i	−2.02101	−	0.541527i
$926$			18.5426i			0.609347i
$927$	6.73344	−	19.5356i	0.221155	−	0.641634i
$928$	−0.372694	−	0.0998631i	−0.0122343	−	0.00327817i
$929$	−0.0730394	+	0.272587i	−0.00239635	+	0.00894329i	−0.967114	−	0.254345i	$-0.918140\pi$
$929$	−0.0730394	+	0.272587i	−0.00239635	+	0.00894329i	0.964717	+	0.263288i	$0.0848069\pi$
$930$	−5.69936	−	59.2866i	−0.186889	−	1.94408i
$931$	16.8554	−	8.65406i	0.552413	−	0.283625i
$932$	1.64286	+	0.948504i	0.0538136	+	0.0310693i
$933$	−7.26427	+	43.3682i	−0.237822	+	1.41981i
$934$	61.8881	−	16.5829i	2.02504	−	0.542608i
$935$	6.32839	+	10.9611i	0.206961	+	0.358466i
$936$	5.96007	+	7.33319i	0.194811	+	0.239693i
$937$	−30.9940			−1.01253			−0.506265	−	0.862378i	$-0.668974\pi$
$937$	−30.9940			−1.01253			−0.506265	+	0.862378i	$0.668974\pi$
$938$	24.2107	+	3.79620i	0.790506	+	0.123950i
$939$	30.5332	−	11.4105i	0.996414	−	0.372368i
$940$	−10.5403	+	6.08547i	−0.343788	+	0.198486i
$941$	−4.19614	+	15.6602i	−0.136790	+	0.510509i	0.863194	+	0.504873i	$0.168461\pi$
$941$	−4.19614	+	15.6602i	−0.136790	+	0.510509i	−0.999984	+	0.00563580i	$0.998206\pi$
$942$	−48.2295	+	34.3905i	−1.57140	+	1.12050i
$943$	4.61367	−	17.2184i	0.150242	−	0.560710i
$944$	−34.6581	+	34.6581i	−1.12803	+	1.12803i
$945$	50.6232	−	6.72037i	1.64677	−	0.218614i
$946$	−46.9415	+	27.1017i	−1.52620	+	0.881153i
$947$	4.67015	−	4.67015i	0.151759	−	0.151759i	−0.627144	−	0.778903i	$-0.715776\pi$
$947$	4.67015	−	4.67015i	0.151759	−	0.151759i	0.778903	+	0.627144i	$0.215776\pi$
$948$	2.92233	+	7.81983i	0.0949129	+	0.253976i
$949$	7.57727	−	12.1830i	0.245969	−	0.395478i
$950$	−38.7787	−	22.3889i	−1.25815	−	0.726391i
$951$	−19.6316	−	8.95032i	−0.636599	−	0.290234i
$952$	1.27753	+	0.566426i	0.0414050	+	0.0183580i
$953$	25.2718	−	43.7720i	0.818632	−	1.41791i	−0.0880577	−	0.996115i	$-0.528066\pi$
$953$	25.2718	−	43.7720i	0.818632	−	1.41791i	0.906690	−	0.421798i	$-0.138601\pi$
$954$	0.608878	−	8.66866i	0.0197132	−	0.280658i
$955$	−47.4881	+	47.4881i	−1.53668	+	1.53668i
$956$	−25.0468	+	25.0468i	−0.810072	+	0.810072i
$957$	0.0506530	+	0.526910i	0.00163738	+	0.0170326i
$958$	19.4883	−	33.7548i	0.629640	−	1.09057i
$959$	−12.4750	−	5.53109i	−0.402837	−	0.178608i
$960$	10.5464	−	23.1325i	0.340385	−	0.746600i
$961$	−5.85457	−	3.38014i	−0.188857	−	0.109037i
$962$	14.2372	−	46.9202i	0.459027	−	1.51277i
$963$	−22.1417	+	4.29677i	−0.713506	+	0.138461i
$964$	16.2257	−	16.2257i	0.522594	−	0.522594i
$965$	71.3395	−	41.1879i	2.29650	−	1.32589i
$966$	−21.0600	+	10.5368i	−0.677595	+	0.339015i
$967$	4.50569	−	4.50569i	0.144893	−	0.144893i	−0.630939	−	0.775832i	$-0.717330\pi$
$967$	4.50569	−	4.50569i	0.144893	−	0.144893i	0.775832	+	0.630939i	$0.217330\pi$
$968$	−4.69427	+	17.5193i	−0.150880	+	0.563091i
$969$	−1.64563	−	2.30785i	−0.0528653	−	0.0741388i
$970$	−16.0607	+	59.9394i	−0.515678	+	1.92454i
$971$	−25.7589	+	14.8719i	−0.826643	+	0.477262i	−0.852702	−	0.522398i	$-0.825038\pi$
$971$	−25.7589	+	14.8719i	−0.826643	+	0.477262i	0.0260592	+	0.999660i	$0.491704\pi$
$972$	7.21481	−	22.8207i	0.231415	−	0.731973i
$973$	−26.0317	−	4.08174i	−0.834539	−	0.130855i
$974$	−16.2413			−0.520404
$975$	49.2200	+	24.4208i	1.57630	+	0.782090i
$976$	−2.57144	−	4.45386i	−0.0823097	−	0.142565i
$977$	53.6025	−	14.3627i	1.71489	−	0.459505i	0.738279	−	0.674496i	$-0.235639\pi$
$977$	53.6025	−	14.3627i	1.71489	−	0.459505i	0.976616	+	0.214991i	$0.0689723\pi$
$978$	53.2533	+	8.92006i	1.70285	+	0.285232i
$979$	66.5202	+	38.4054i	2.12599	+	1.22744i
$980$	33.5493	+	21.6399i	1.07169	+	0.691260i
$981$	−1.69596	+	24.1455i	−0.0541477	+	0.770906i
$982$	17.7348	−	66.1870i	0.565939	−	2.11211i
$983$	52.2329	+	13.9958i	1.66597	+	0.446396i	0.964020	−	0.265829i	$-0.0856456\pi$
$983$	52.2329	+	13.9958i	1.66597	+	0.446396i	0.701952	+	0.712225i	$0.252312\pi$
$984$	1.63045	−	9.73392i	0.0519770	−	0.310306i
$985$			0.854814i			0.0272366i
$986$	−0.0595461	−	0.0159553i	−0.00189634	−	0.000508122i
$987$	9.76192	+	0.583427i	0.310725	+	0.0185707i
$988$	7.91366	−	12.7239i	0.251767	−	0.404801i
$989$	−12.1070	−	6.98999i	−0.384981	−	0.222269i
$990$	−117.795	−	8.27382i	−3.74378	−	0.262959i
$991$	−7.95354	+	13.7759i	−0.252653	+	0.437607i	−0.964255	−	0.264975i	$-0.914636\pi$
$991$	−7.95354	+	13.7759i	−0.252653	+	0.437607i	0.711603	+	0.702582i	$0.247970\pi$
$992$	17.5152	+	30.3372i	0.556108	+	0.963208i
$993$	31.3246	+	43.9299i	0.994055	+	1.39407i
$994$	−1.76939	+	11.2844i	−0.0561215	+	0.357921i
$995$	19.4829	+	72.7112i	0.617650	+	2.30510i
$996$	20.7704	−	1.99671i	0.658136	−	0.0632681i
$997$	35.4718			1.12340			0.561702	−	0.827339i	$-0.310147\pi$
$997$	35.4718			1.12340			0.561702	+	0.827339i	$0.310147\pi$
$998$	33.8162	−	58.5714i	1.07043	−	1.85405i
$999$	36.0392	−	10.6570i	1.14023	−	0.337174i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bv.b.2.26	yes	128
3.2	odd	2	inner	273.2.bv.b.2.7	✓	128
7.4	even	3		273.2.bw.b.158.7	yes	128
13.7	odd	12		273.2.bw.b.254.26	yes	128
21.11	odd	6		273.2.bw.b.158.26	yes	128
39.20	even	12		273.2.bw.b.254.7	yes	128
91.46	odd	12	inner	273.2.bv.b.137.7	yes	128
273.137	even	12	inner	273.2.bv.b.137.26	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.7	✓	128	3.2	odd	2	inner
273.2.bv.b.2.26	yes	128	1.1	even	1	trivial
273.2.bv.b.137.7	yes	128	91.46	odd	12	inner
273.2.bv.b.137.26	yes	128	273.137	even	12	inner
273.2.bw.b.158.7	yes	128	7.4	even	3
273.2.bw.b.158.26	yes	128	21.11	odd	6
273.2.bw.b.254.7	yes	128	39.20	even	12
273.2.bw.b.254.26	yes	128	13.7	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.32954 + 1.32954i) q^{2} +(1.33632 + 1.10193i) q^{3} +1.53537i q^{4} +(-3.58803 + 0.961410i) q^{5} +(0.311637 + 3.24176i) q^{6} +(0.951973 + 2.46855i) q^{7} +(0.617751 - 0.617751i) q^{8} +(0.571512 + 2.94506i) q^{9} +O(q^{10})\)	\(q+(1.32954 + 1.32954i) q^{2} +(1.33632 + 1.10193i) q^{3} +1.53537i q^{4} +(-3.58803 + 0.961410i) q^{5} +(0.311637 + 3.24176i) q^{6} +(0.951973 + 2.46855i) q^{7} +(0.617751 - 0.617751i) q^{8} +(0.571512 + 2.94506i) q^{9} +(-6.04868 - 3.49220i) q^{10} +(-1.45862 - 5.44364i) q^{11} +(-1.69186 + 2.05174i) q^{12} +(3.45021 + 1.04692i) q^{13} +(-2.01636 + 4.54773i) q^{14} +(-5.85417 - 2.66900i) q^{15} +4.71338 q^{16} +0.604596 q^{17} +(-3.15573 + 4.67543i) q^{18} +(-2.61452 - 0.700557i) q^{19} +(-1.47612 - 5.50894i) q^{20} +(-1.44802 + 4.34778i) q^{21} +(5.29825 - 9.17685i) q^{22} +2.73302 q^{23} +(1.50623 - 0.144797i) q^{24} +(7.61953 - 4.39914i) q^{25} +(3.19528 + 5.97912i) q^{26} +(-2.48152 + 4.56531i) q^{27} +(-3.79013 + 1.46163i) q^{28} +(-0.0469632 + 0.0271142i) q^{29} +(-4.23482 - 11.3319i) q^{30} +(4.75563 + 1.27427i) q^{31} +(5.03114 + 5.03114i) q^{32} +(4.04931 - 8.88175i) q^{33} +(0.803836 + 0.803836i) q^{34} +(-5.78900 - 7.94200i) q^{35} +(-4.52174 + 0.877480i) q^{36} +(-5.11425 - 5.11425i) q^{37} +(-2.54469 - 4.40753i) q^{38} +(3.45697 + 5.20090i) q^{39} +(-1.62260 + 2.81042i) q^{40} +(1.68812 - 6.30015i) q^{41} +(-7.70577 + 3.85536i) q^{42} +(-4.42991 - 2.55761i) q^{43} +(8.35798 - 2.23951i) q^{44} +(-4.88201 - 10.0175i) q^{45} +(3.63366 + 3.63366i) q^{46} +(-0.552327 - 2.06131i) q^{47} +(6.29860 + 5.19381i) q^{48} +(-5.18749 + 4.69999i) q^{49} +(15.9793 + 4.28165i) q^{50} +(0.807935 + 0.666221i) q^{51} +(-1.60740 + 5.29734i) q^{52} +(-1.33418 + 0.770286i) q^{53} +(-9.36906 + 2.77049i) q^{54} +(10.4671 + 18.1296i) q^{55} +(2.11303 + 0.936867i) q^{56} +(-2.72187 - 3.81718i) q^{57} +(-0.0984891 - 0.0263901i) q^{58} +(-7.35313 + 7.35313i) q^{59} +(4.09789 - 8.98829i) q^{60} +(-0.545561 - 0.944939i) q^{61} +(4.62861 + 8.01700i) q^{62} +(-6.72597 + 4.21442i) q^{63} +3.95146i q^{64} +(-13.3860 - 0.439300i) q^{65} +(17.1924 - 6.42493i) q^{66} +(-1.27500 - 4.75837i) q^{67} +0.928276i q^{68} +(3.65219 + 3.01159i) q^{69} +(2.86251 - 18.2560i) q^{70} +(2.21785 - 0.594271i) q^{71} +(2.17236 + 1.46626i) q^{72} +(1.02989 - 3.84360i) q^{73} -13.5992i q^{74} +(15.0297 + 2.51751i) q^{75} +(1.07561 - 4.01424i) q^{76} +(12.0493 - 8.78288i) q^{77} +(-2.31863 + 11.5110i) q^{78} +(1.56958 - 2.71858i) q^{79} +(-16.9118 + 4.53149i) q^{80} +(-8.34675 + 3.36627i) q^{81} +(10.6208 - 6.13189i) q^{82} +(-5.54824 - 5.54824i) q^{83} +(-6.67544 - 2.22324i) q^{84} +(-2.16931 + 0.581265i) q^{85} +(-2.48930 - 9.29020i) q^{86} +(-0.0926359 - 0.0155167i) q^{87} +(-4.26388 - 2.46175i) q^{88} +(-9.63745 + 9.63745i) q^{89} +(6.82786 - 19.8095i) q^{90} +(0.700142 + 9.51366i) q^{91} +4.19618i q^{92} +(4.95090 + 6.94318i) q^{93} +(2.00626 - 3.47494i) q^{94} +10.0545 q^{95} +(1.17927 + 12.2672i) q^{96} +(-2.29951 - 8.58188i) q^{97} +(-13.1458 - 0.648158i) q^{98} +(15.1982 - 7.40683i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Introduction

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