LMFDB - Embedded newform 287.2.h.d.57.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(57,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("287.57");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.h (of order $5$, 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:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			57.10
Character	$\chi$	$=$	287.57
Dual form			287.2.h.d.141.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.805486 - 2.47903i) q^{2} -2.12549 q^{3} +(-3.87876 - 2.81808i) q^{4} +(-0.434226 - 0.315483i) q^{5} +(-1.71205 + 5.26916i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-5.89282 + 4.28139i) q^{8} +1.51771 q^{9} +O(q^{10})$	\(q+(0.805486 - 2.47903i) q^{2} -2.12549 q^{3} +(-3.87876 - 2.81808i) q^{4} +(-0.434226 - 0.315483i) q^{5} +(-1.71205 + 5.26916i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-5.89282 + 4.28139i) q^{8} +1.51771 q^{9} +(-1.13186 + 0.822342i) q^{10} +(1.37043 - 0.995676i) q^{11} +(8.24427 + 5.98981i) q^{12} +(-1.30376 + 4.01258i) q^{13} -2.60661 q^{14} +(0.922943 + 0.670557i) q^{15} +(2.90400 + 8.93759i) q^{16} +(-2.11301 + 1.53519i) q^{17} +(1.22250 - 3.76246i) q^{18} +(-0.882270 - 2.71535i) q^{19} +(0.795198 + 2.44737i) q^{20} +(0.656813 + 2.02146i) q^{21} +(-1.36445 - 4.19934i) q^{22} +(-0.0388025 + 0.119422i) q^{23} +(12.5251 - 9.10005i) q^{24} +(-1.45606 - 4.48130i) q^{25} +(8.89714 + 6.46415i) q^{26} +3.15059 q^{27} +(-1.48155 + 4.55975i) q^{28} +(-7.17675 - 5.21422i) q^{29} +(2.40575 - 1.74788i) q^{30} +(-0.477977 + 0.347271i) q^{31} +9.92785 q^{32} +(-2.91284 + 2.11630i) q^{33} +(2.10379 + 6.47480i) q^{34} +(-0.165859 + 0.510463i) q^{35} +(-5.88684 - 4.27704i) q^{36} +(-7.23071 - 5.25342i) q^{37} -7.44209 q^{38} +(2.77114 - 8.52869i) q^{39} +3.90952 q^{40} +(-5.66705 + 2.98069i) q^{41} +5.54032 q^{42} +(1.82333 - 5.61164i) q^{43} -8.12146 q^{44} +(-0.659029 - 0.478813i) q^{45} +(0.264796 + 0.192385i) q^{46} +(0.726361 - 2.23551i) q^{47} +(-6.17242 - 18.9968i) q^{48} +(-0.809017 + 0.587785i) q^{49} -12.2821 q^{50} +(4.49119 - 3.26304i) q^{51} +(16.3648 - 11.8897i) q^{52} +(8.02805 + 5.83272i) q^{53} +(2.53776 - 7.81041i) q^{54} -0.909195 q^{55} +(5.89282 + 4.28139i) q^{56} +(1.87526 + 5.77144i) q^{57} +(-18.7070 + 13.5914i) q^{58} +(-1.17294 + 3.60994i) q^{59} +(-1.69019 - 5.20186i) q^{60} +(-3.97278 - 12.2270i) q^{61} +(0.475891 + 1.46464i) q^{62} +(-0.468999 - 1.44343i) q^{63} +(2.18875 - 6.73627i) q^{64} +(1.83203 - 1.33105i) q^{65} +(2.90012 + 8.92567i) q^{66} +(7.57299 + 5.50210i) q^{67} +12.5222 q^{68} +(0.0824744 - 0.253830i) q^{69} +(1.13186 + 0.822342i) q^{70} +(2.45055 - 1.78043i) q^{71} +(-8.94361 + 6.49791i) q^{72} +8.72617 q^{73} +(-18.8476 + 13.6936i) q^{74} +(3.09485 + 9.52496i) q^{75} +(-4.22996 + 13.0185i) q^{76} +(-1.37043 - 0.995676i) q^{77} +(-18.9108 - 13.7395i) q^{78} +17.3917 q^{79} +(1.55867 - 4.79709i) q^{80} -11.2497 q^{81} +(2.82449 + 16.4497i) q^{82} -14.1042 q^{83} +(3.14903 - 9.69172i) q^{84} +1.40185 q^{85} +(-12.4428 - 9.04020i) q^{86} +(15.2541 + 11.0828i) q^{87} +(-3.81283 + 11.7347i) q^{88} +(-3.39412 - 10.4460i) q^{89} +(-1.71783 + 1.24808i) q^{90} +4.21907 q^{91} +(0.487046 - 0.353860i) q^{92} +(1.01594 - 0.738121i) q^{93} +(-4.95682 - 3.60134i) q^{94} +(-0.473543 + 1.45741i) q^{95} -21.1015 q^{96} +(14.4005 + 10.4626i) q^{97} +(0.805486 + 2.47903i) q^{98} +(2.07992 - 1.51115i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9}+O(q^{10}) $ 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9} + 10 q^{10} + 5 q^{11} - 17 q^{12} + 3 q^{13} - 8 q^{14} + 23 q^{15} - 18 q^{16} + 11 q^{17} - 38 q^{18} - 2 q^{19} + 31 q^{20} + 4 q^{22} + 2 q^{23} + 10 q^{24} - 21 q^{25} - 7 q^{26} - 52 q^{27} + 14 q^{28} - 11 q^{29} - 18 q^{30} - 3 q^{31} + 44 q^{32} - 51 q^{33} + 29 q^{34} - 9 q^{35} + 35 q^{36} + 11 q^{37} + 52 q^{38} - 5 q^{39} - 32 q^{40} + 29 q^{41} + 6 q^{42} - 32 q^{43} - 92 q^{44} - 56 q^{45} + 26 q^{46} + 29 q^{47} + 11 q^{48} - 10 q^{49} - 24 q^{50} - 4 q^{51} + 3 q^{52} + 30 q^{53} + 58 q^{54} - 100 q^{55} - 3 q^{56} - 49 q^{57} + 25 q^{58} + 5 q^{59} - 91 q^{60} + 22 q^{61} - 34 q^{62} + 13 q^{63} - 9 q^{64} + 21 q^{65} + 29 q^{66} + 9 q^{67} - 20 q^{68} + 30 q^{69} - 10 q^{70} + 34 q^{71} - 37 q^{72} - 20 q^{73} - 58 q^{74} + 41 q^{75} - 37 q^{76} - 5 q^{77} + 63 q^{78} + 66 q^{79} + 22 q^{80} + 96 q^{81} + 76 q^{82} - 22 q^{83} - 38 q^{84} - 26 q^{85} + 3 q^{86} + 49 q^{87} - 19 q^{89} - q^{90} + 22 q^{91} - 2 q^{92} - 39 q^{93} + 66 q^{94} + 71 q^{95} - 302 q^{96} + 47 q^{97} - 2 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9 + 10 * q^10 + 5 * q^11 - 17 * q^12 + 3 * q^13 - 8 * q^14 + 23 * q^15 - 18 * q^16 + 11 * q^17 - 38 * q^18 - 2 * q^19 + 31 * q^20 + 4 * q^22 + 2 * q^23 + 10 * q^24 - 21 * q^25 - 7 * q^26 - 52 * q^27 + 14 * q^28 - 11 * q^29 - 18 * q^30 - 3 * q^31 + 44 * q^32 - 51 * q^33 + 29 * q^34 - 9 * q^35 + 35 * q^36 + 11 * q^37 + 52 * q^38 - 5 * q^39 - 32 * q^40 + 29 * q^41 + 6 * q^42 - 32 * q^43 - 92 * q^44 - 56 * q^45 + 26 * q^46 + 29 * q^47 + 11 * q^48 - 10 * q^49 - 24 * q^50 - 4 * q^51 + 3 * q^52 + 30 * q^53 + 58 * q^54 - 100 * q^55 - 3 * q^56 - 49 * q^57 + 25 * q^58 + 5 * q^59 - 91 * q^60 + 22 * q^61 - 34 * q^62 + 13 * q^63 - 9 * q^64 + 21 * q^65 + 29 * q^66 + 9 * q^67 - 20 * q^68 + 30 * q^69 - 10 * q^70 + 34 * q^71 - 37 * q^72 - 20 * q^73 - 58 * q^74 + 41 * q^75 - 37 * q^76 - 5 * q^77 + 63 * q^78 + 66 * q^79 + 22 * q^80 + 96 * q^81 + 76 * q^82 - 22 * q^83 - 38 * q^84 - 26 * q^85 + 3 * q^86 + 49 * q^87 - 19 * q^89 - q^90 + 22 * q^91 - 2 * q^92 - 39 * q^93 + 66 * q^94 + 71 * q^95 - 302 * q^96 + 47 * q^97 - 2 * q^98 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.805486	−	2.47903i	0.569565	−	1.75294i	−0.0844173	−	0.996430i	$-0.526903\pi$
$2$	0.805486	−	2.47903i	0.569565	−	1.75294i	0.653982	−	0.756510i	$-0.273097\pi$
$3$	−2.12549			−1.22715			−0.613576	−	0.789635i	$-0.710270\pi$
$3$	−2.12549			−1.22715			−0.613576	+	0.789635i	$0.710270\pi$
$4$	−3.87876	−	2.81808i	−1.93938	−	1.40904i
$5$	−0.434226	−	0.315483i	−0.194192	−	0.141088i	0.486441	−	0.873714i	$-0.338295\pi$
$5$	−0.434226	−	0.315483i	−0.194192	−	0.141088i	−0.680632	+	0.732625i	$0.738295\pi$
$6$	−1.71205	+	5.26916i	−0.698943	+	2.15113i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$7$	−0.309017	−	0.951057i	−0.116797	−	0.359466i
$8$	−5.89282	+	4.28139i	−2.08343	+	1.51370i
$9$	1.51771			0.505904
$10$	−1.13186	+	0.822342i	−0.357924	+	0.260047i
$11$	1.37043	−	0.995676i	0.413200	−	0.300208i	−0.361696	−	0.932296i	$-0.617802\pi$
$11$	1.37043	−	0.995676i	0.413200	−	0.300208i	0.774896	+	0.632089i	$0.217802\pi$
$12$	8.24427	+	5.98981i	2.37991	+	1.72911i
$13$	−1.30376	+	4.01258i	−0.361599	+	1.11289i	0.590484	+	0.807049i	$0.298937\pi$
$13$	−1.30376	+	4.01258i	−0.361599	+	1.11289i	−0.952083	+	0.305839i	$0.901063\pi$
$14$	−2.60661			−0.696645
$15$	0.922943	+	0.670557i	0.238303	+	0.173137i
$16$	2.90400	+	8.93759i	0.726000	+	2.23440i
$17$	−2.11301	+	1.53519i	−0.512481	+	0.372339i	−0.813764	−	0.581196i	$-0.802585\pi$
$17$	−2.11301	+	1.53519i	−0.512481	+	0.372339i	0.301283	+	0.953535i	$0.402585\pi$
$18$	1.22250	−	3.76246i	0.288145	−	0.886820i
$19$	−0.882270	−	2.71535i	−0.202407	−	0.622943i	−0.999810	−	0.0194966i	$-0.993794\pi$
$19$	−0.882270	−	2.71535i	−0.202407	−	0.622943i	0.797403	−	0.603447i	$-0.206206\pi$
$20$	0.795198	+	2.44737i	0.177812	+	0.547248i
$21$	0.656813	+	2.02146i	0.143328	+	0.441119i
$22$	−1.36445	−	4.19934i	−0.290902	−	0.895303i
$23$	−0.0388025	+	0.119422i	−0.00809089	+	0.0249012i	−0.955020	−	0.296540i	$-0.904167\pi$
$23$	−0.0388025	+	0.119422i	−0.00809089	+	0.0249012i	0.946930	+	0.321441i	$0.104167\pi$
$24$	12.5251	−	9.10005i	2.55668	−	1.85754i
$25$	−1.45606	−	4.48130i	−0.291213	−	0.896260i
$26$	8.89714	+	6.46415i	1.74487	+	1.26772i
$27$	3.15059			0.606331
$28$	−1.48155	+	4.55975i	−0.279987	+	0.861712i
$29$	−7.17675	−	5.21422i	−1.33269	−	0.968256i	−0.999679	−	0.0253328i	$-0.991935\pi$
$29$	−7.17675	−	5.21422i	−1.33269	−	0.968256i	−0.333011	−	0.942923i	$-0.608065\pi$
$30$	2.40575	−	1.74788i	0.439228	−	0.319118i
$31$	−0.477977	+	0.347271i	−0.0858473	+	0.0623717i	−0.629881	−	0.776692i	$-0.716896\pi$
$31$	−0.477977	+	0.347271i	−0.0858473	+	0.0623717i	0.544034	+	0.839063i	$0.316896\pi$
$32$	9.92785			1.75501
$33$	−2.91284	+	2.11630i	−0.507060	+	0.368401i
$34$	2.10379	+	6.47480i	0.360797	+	1.11042i
$35$	−0.165859	+	0.510463i	−0.0280354	+	0.0862840i
$36$	−5.88684	−	4.27704i	−0.981140	−	0.712840i
$37$	−7.23071	−	5.25342i	−1.18872	−	0.863656i	−0.195592	−	0.980685i	$-0.562663\pi$
$37$	−7.23071	−	5.25342i	−1.18872	−	0.863656i	−0.993128	+	0.117029i	$0.962663\pi$
$38$	−7.44209			−1.20727
$39$	2.77114	−	8.52869i	0.443738	−	1.36568i
$40$	3.90952			0.618150
$41$	−5.66705	+	2.98069i	−0.885045	+	0.465505i
$41$	−5.66705	+	2.98069i	−0.885045	+	0.465505i
$42$	5.54032			0.854890
$43$	1.82333	−	5.61164i	0.278055	−	0.855767i	−0.710339	−	0.703859i	$-0.751458\pi$
$43$	1.82333	−	5.61164i	0.278055	−	0.855767i	0.988395	−	0.151907i	$-0.0485415\pi$
$44$	−8.12146			−1.22436
$45$	−0.659029	−	0.478813i	−0.0982423	−	0.0713772i
$46$	0.264796	+	0.192385i	0.0390420	+	0.0283657i
$47$	0.726361	−	2.23551i	0.105951	−	0.326082i	−0.884002	−	0.467484i	$-0.845161\pi$
$47$	0.726361	−	2.23551i	0.105951	−	0.326082i	0.989952	+	0.141401i	$0.0451607\pi$
$48$	−6.17242	−	18.9968i	−0.890913	−	2.74195i
$49$	−0.809017	+	0.587785i	−0.115574	+	0.0839693i
$50$	−12.2821			−1.73696
$51$	4.49119	−	3.26304i	0.628892	−	0.456917i
$52$	16.3648	−	11.8897i	2.26938	−	1.64880i
$53$	8.02805	+	5.83272i	1.10274	+	0.801186i	0.981505	−	0.191439i	$-0.0613153\pi$
$53$	8.02805	+	5.83272i	1.10274	+	0.801186i	0.121233	+	0.992624i	$0.461315\pi$
$54$	2.53776	−	7.81041i	0.345345	−	1.06286i
$55$	−0.909195			−0.122596
$56$	5.89282	+	4.28139i	0.787462	+	0.572124i
$57$	1.87526	+	5.77144i	0.248384	+	0.764447i
$58$	−18.7070	+	13.5914i	−2.45635	+	1.78464i
$59$	−1.17294	+	3.60994i	−0.152704	+	0.469975i	−0.997921	−	0.0644486i	$-0.979471\pi$
$59$	−1.17294	+	3.60994i	−0.152704	+	0.469975i	0.845217	+	0.534423i	$0.179471\pi$
$60$	−1.69019	−	5.20186i	−0.218202	−	0.671557i
$61$	−3.97278	−	12.2270i	−0.508663	−	1.56550i	−0.794524	−	0.607232i	$-0.792280\pi$
$61$	−3.97278	−	12.2270i	−0.508663	−	1.56550i	0.285862	−	0.958271i	$-0.407720\pi$
$62$	0.475891	+	1.46464i	0.0604383	+	0.186010i
$63$	−0.468999	−	1.44343i	−0.0590883	−	0.181855i
$64$	2.18875	−	6.73627i	0.273593	−	0.842033i
$65$	1.83203	−	1.33105i	0.227235	−	0.165096i
$66$	2.90012	+	8.92567i	0.356981	+	1.09867i
$67$	7.57299	+	5.50210i	0.925188	+	0.672188i	0.944810	−	0.327619i	$-0.106246\pi$
$67$	7.57299	+	5.50210i	0.925188	+	0.672188i	−0.0196222	+	0.999807i	$0.506246\pi$
$68$	12.5222			1.51854
$69$	0.0824744	−	0.253830i	0.00992875	−	0.0305576i
$70$	1.13186	+	0.822342i	0.135283	+	0.0982886i
$71$	2.45055	−	1.78043i	0.290827	−	0.211298i	−0.432799	−	0.901490i	$-0.642474\pi$
$71$	2.45055	−	1.78043i	0.290827	−	0.211298i	0.723626	+	0.690192i	$0.242474\pi$
$72$	−8.94361	+	6.49791i	−1.05401	+	0.765786i
$73$	8.72617			1.02132			0.510660	−	0.859783i	$-0.329401\pi$
$73$	8.72617			1.02132			0.510660	+	0.859783i	$0.329401\pi$
$74$	−18.8476	+	13.6936i	−2.19099	+	1.59185i
$75$	3.09485	+	9.52496i	0.357362	+	1.09985i
$76$	−4.22996	+	13.0185i	−0.485210	+	1.49332i
$77$	−1.37043	−	0.995676i	−0.156175	−	0.113468i
$78$	−18.9108	−	13.7395i	−2.14123	−	1.55569i
$79$	17.3917			1.95672			0.978361	−	0.206904i	$-0.0663386\pi$
$79$	17.3917			1.95672			0.978361	+	0.206904i	$0.0663386\pi$
$80$	1.55867	−	4.79709i	0.174265	−	0.536331i
$81$	−11.2497			−1.24997
$82$	2.82449	+	16.4497i	0.311912	+	1.81657i
$83$	−14.1042			−1.54814			−0.774070	−	0.633100i	$-0.781782\pi$
$83$	−14.1042			−1.54814			−0.774070	+	0.633100i	$0.781782\pi$
$84$	3.14903	−	9.69172i	0.343587	−	1.05745i
$85$	1.40185			0.152052
$86$	−12.4428	−	9.04020i	−1.34174	−	0.974829i
$87$	15.2541	+	11.0828i	1.63541	+	1.18820i
$88$	−3.81283	+	11.7347i	−0.406449	+	1.25092i
$89$	−3.39412	−	10.4460i	−0.359776	−	1.10728i	−0.953188	−	0.302378i	$-0.902220\pi$
$89$	−3.39412	−	10.4460i	−0.359776	−	1.10728i	0.593412	−	0.804899i	$-0.297780\pi$
$90$	−1.71783	+	1.24808i	−0.181075	+	0.131559i
$91$	4.21907			0.442279
$92$	0.487046	−	0.353860i	0.0507781	−	0.0368924i
$93$	1.01594	−	0.738121i	0.105348	−	0.0765396i
$94$	−4.95682	−	3.60134i	−0.511257	−	0.371450i
$95$	−0.473543	+	1.45741i	−0.0485844	+	0.149528i
$96$	−21.1015			−2.15367
$97$	14.4005	+	10.4626i	1.46215	+	1.06232i	0.982796	+	0.184696i	$0.0591301\pi$
$97$	14.4005	+	10.4626i	1.46215	+	1.06232i	0.479357	+	0.877620i	$0.340870\pi$
$98$	0.805486	+	2.47903i	0.0813664	+	0.250420i
$99$	2.07992	−	1.51115i	0.209040	−	0.151876i
$100$	−6.98096	+	21.4852i	−0.698096	+	2.14852i
$101$	−5.14125	−	15.8232i	−0.511574	−	1.57446i	−0.789431	−	0.613840i	$-0.789624\pi$
$101$	−5.14125	−	15.8232i	−0.511574	−	1.57446i	0.277857	−	0.960623i	$-0.410376\pi$
$102$	−4.47159	−	13.7621i	−0.442753	−	1.36265i
$103$	−3.62389	−	11.1532i	−0.357073	−	1.09896i	−0.954798	−	0.297256i	$-0.903928\pi$
$103$	−3.62389	−	11.1532i	−0.357073	−	1.09896i	0.597725	−	0.801701i	$-0.296072\pi$
$104$	−9.49653	−	29.2273i	−0.931212	−	2.86597i
$105$	0.352533	−	1.08498i	0.0344037	−	0.105884i
$106$	20.9260	−	15.2036i	2.03251	−	1.47671i
$107$	−2.92331	−	8.99701i	−0.282607	−	0.869774i	−0.987106	−	0.160069i	$-0.948828\pi$
$107$	−2.92331	−	8.99701i	−0.282607	−	0.869774i	0.704499	−	0.709705i	$-0.251172\pi$
$108$	−12.2204	−	8.87862i	−1.17591	−	0.854346i
$109$	−10.5100			−1.00668			−0.503339	−	0.864089i	$-0.667895\pi$
$109$	−10.5100			−1.00668			−0.503339	+	0.864089i	$0.667895\pi$
$110$	−0.732344	+	2.25392i	−0.0698263	+	0.214903i
$111$	15.3688	+	11.1661i	1.45874	+	1.05984i
$112$	7.60277	−	5.52373i	0.718394	−	0.521944i
$113$	3.32842	−	2.41824i	0.313112	−	0.227489i	−0.420119	−	0.907469i	$-0.638012\pi$
$113$	3.32842	−	2.41824i	0.313112	−	0.227489i	0.733230	+	0.679980i	$0.238012\pi$
$114$	15.8181			1.48150
$115$	0.0545247	−	0.0396145i	0.00508445	−	0.00369407i
$116$	13.1428	+	40.4494i	1.22028	+	3.75563i
$117$	−1.97874	+	6.08994i	−0.182935	+	0.563015i
$118$	8.00438	+	5.81552i	0.736863	+	0.535362i
$119$	2.11301	+	1.53519i	0.193700	+	0.140731i
$120$	−8.30965			−0.758564
$121$	−2.51248	+	7.73261i	−0.228407	+	0.702965i
$122$	−33.5111			−3.03395
$123$	12.0453	−	6.33543i	1.08609	−	0.571246i
$124$	2.83260			0.254375
$125$	−1.61081	+	4.95757i	−0.144075	+	0.443419i
$126$	−3.95608			−0.352436
$127$	11.3080	+	8.21571i	1.00342	+	0.729027i	0.962819	−	0.270149i	$-0.0870729\pi$
$127$	11.3080	+	8.21571i	1.00342	+	0.729027i	0.0406005	+	0.999175i	$0.487073\pi$
$128$	1.12717	+	0.818939i	0.0996290	+	0.0723847i
$129$	−3.87547	+	11.9275i	−0.341217	+	1.05016i
$130$	−1.82403	−	5.61380i	−0.159978	−	0.492363i
$131$	4.22477	−	3.06947i	0.369120	−	0.268181i	−0.387726	−	0.921775i	$-0.626739\pi$
$131$	4.22477	−	3.06947i	0.369120	−	0.268181i	0.756846	+	0.653594i	$0.226739\pi$
$132$	17.2621			1.50247
$133$	−2.30981	+	1.67818i	−0.200286	+	0.145516i
$134$	19.7398	−	14.3418i	1.70526	−	1.23894i
$135$	−1.36807	−	0.993958i	−0.117744	−	0.0855463i
$136$	5.87885	−	18.0932i	0.504107	−	1.55148i
$137$	1.98391			0.169496			0.0847482	−	0.996402i	$-0.472991\pi$
$137$	1.98391			0.169496			0.0847482	+	0.996402i	$0.472991\pi$
$138$	−0.562821	−	0.408914i	−0.0479105	−	0.0348090i
$139$	−2.13337	−	6.56585i	−0.180951	−	0.556908i	0.818905	−	0.573930i	$-0.194582\pi$
$139$	−2.13337	−	6.56585i	−0.180951	−	0.556908i	−0.999855	+	0.0170212i	$0.994582\pi$
$140$	2.08185	−	1.51256i	0.175949	−	0.127834i
$141$	−1.54387	+	4.75155i	−0.130018	+	0.400153i
$142$	−2.43985	−	7.50910i	−0.204748	−	0.630149i
$143$	2.20851	+	6.79708i	0.184685	+	0.568400i
$144$	4.40744	+	13.5647i	0.367286	+	1.13039i
$145$	1.47133	+	4.52829i	0.122187	+	0.376054i
$146$	7.02881	−	21.6324i	0.581708	−	1.79031i
$147$	1.71956	−	1.24933i	0.141827	−	0.103043i
$148$	13.2416	+	40.7535i	1.08845	+	3.34991i
$149$	6.04115	+	4.38915i	0.494910	+	0.359573i	0.807069	−	0.590457i	$-0.201052\pi$
$149$	6.04115	+	4.38915i	0.494910	+	0.359573i	−0.312159	+	0.950030i	$0.601052\pi$
$150$	26.1056			2.13151
$151$	4.99179	−	15.3632i	0.406226	−	1.25024i	−0.513641	−	0.858005i	$-0.671704\pi$
$151$	4.99179	−	15.3632i	0.406226	−	1.25024i	0.919867	−	0.392231i	$-0.128296\pi$
$152$	16.8245	+	12.2237i	1.36465	+	0.991475i
$153$	−3.20694	+	2.32998i	−0.259266	+	0.188368i
$154$	−3.57217	+	2.59534i	−0.287854	+	0.209138i
$155$	0.317108			0.0254707
$156$	−34.7831	+	25.2714i	−2.78488	+	2.02333i
$157$	2.60522	+	8.01805i	0.207919	+	0.639910i	0.999581	+	0.0289502i	$0.00921641\pi$
$157$	2.60522	+	8.01805i	0.207919	+	0.639910i	−0.791661	+	0.610960i	$0.790784\pi$
$158$	14.0088	−	43.1147i	1.11448	−	3.43002i
$159$	−17.0635	−	12.3974i	−1.35323	−	0.983177i
$160$	−4.31092	−	3.13207i	−0.340808	−	0.247612i
$161$	0.125568			0.00989611
$162$	−9.06147	+	27.8883i	−0.711936	+	2.19111i
$163$	1.05479			0.0826176			0.0413088	−	0.999146i	$-0.486847\pi$
$163$	1.05479			0.0826176			0.0413088	+	0.999146i	$0.486847\pi$
$164$	30.3810	+	4.40886i	2.37235	+	0.344274i
$165$	1.93249			0.150444
$166$	−11.3608	+	34.9648i	−0.881766	+	2.71380i
$167$	−3.76359			−0.291235			−0.145617	−	0.989341i	$-0.546517\pi$
$167$	−3.76359			−0.291235			−0.145617	+	0.989341i	$0.546517\pi$
$168$	−12.5251	−	9.10005i	−0.966336	−	0.702084i
$169$	−3.88374	−	2.82170i	−0.298749	−	0.217054i
$170$	1.12917	−	3.47524i	0.0866036	−	0.266538i
$171$	−1.33903	−	4.12111i	−0.102398	−	0.315150i
$172$	−22.8863	+	16.6279i	−1.74507	+	1.26786i
$173$	−1.90470			−0.144812			−0.0724060	−	0.997375i	$-0.523068\pi$
$173$	−1.90470			−0.144812			−0.0724060	+	0.997375i	$0.523068\pi$
$174$	39.7615	−	28.8885i	3.01431	−	2.19003i
$175$	−3.81202	+	2.76960i	−0.288162	+	0.209362i
$176$	12.8787	+	9.35690i	0.970766	+	0.705303i
$177$	2.49308	−	7.67290i	0.187391	−	0.576731i
$178$	−28.6300			−2.14591
$179$	−9.02139	−	6.55443i	−0.674291	−	0.489901i	0.197168	−	0.980370i	$-0.436826\pi$
$179$	−9.02139	−	6.55443i	−0.674291	−	0.489901i	−0.871459	+	0.490469i	$0.836826\pi$
$180$	1.20688	+	3.71440i	0.0899556	+	0.276855i
$181$	−0.333677	+	0.242430i	−0.0248020	+	0.0180197i	−0.600117	−	0.799912i	$-0.704879\pi$
$181$	−0.333677	+	0.242430i	−0.0248020	+	0.0180197i	0.575315	+	0.817932i	$0.304879\pi$
$182$	3.39840	−	10.4592i	0.251907	−	0.775289i
$183$	8.44412	+	25.9883i	0.624207	+	1.92111i
$184$	−0.282635	−	0.869861i	−0.0208361	−	0.0641270i
$185$	1.48239	+	4.56233i	0.108988	+	0.335430i
$186$	−1.01150	−	3.11309i	−0.0741670	−	0.228263i
$187$	−1.36718	+	4.20775i	−0.0999782	+	0.307701i
$188$	−9.11722	+	6.62405i	−0.664942	+	0.483109i
$189$	−0.973586	−	2.99639i	−0.0708179	−	0.217955i
$190$	3.23154	+	2.34785i	0.234441	+	0.170331i
$191$	−21.9961			−1.59158			−0.795792	−	0.605570i	$-0.792945\pi$
$191$	−21.9961			−1.59158			−0.795792	+	0.605570i	$0.792945\pi$
$192$	−4.65216	+	14.3179i	−0.335741	+	1.03330i
$193$	10.4192	+	7.56999i	0.749991	+	0.544900i	0.895824	−	0.444409i	$-0.146586\pi$
$193$	10.4192	+	7.56999i	0.749991	+	0.544900i	−0.145833	+	0.989309i	$0.546586\pi$
$194$	37.5366	−	27.2719i	2.69497	−	1.95801i
$195$	−3.89396	+	2.82913i	−0.278852	+	0.202598i
$196$	4.79441			0.342458
$197$	−14.9413	+	10.8555i	−1.06452	+	0.773419i	−0.974919	−	0.222559i	$-0.928559\pi$
$197$	−14.9413	+	10.8555i	−1.06452	+	0.773419i	−0.0896009	+	0.995978i	$0.528559\pi$
$198$	−2.07084	−	6.37340i	−0.147168	−	0.452937i
$199$	−1.11591	+	3.43442i	−0.0791048	+	0.243460i	−0.982786	−	0.184746i	$-0.940854\pi$
$199$	−1.11591	+	3.43442i	−0.0791048	+	0.243460i	0.903682	+	0.428205i	$0.140854\pi$
$200$	27.7665	+	20.1735i	1.96339	+	1.42649i
$201$	−16.0963	−	11.6947i	−1.13535	−	0.824878i
$202$	−43.3673			−3.05131
$203$	−2.74128	+	8.43678i	−0.192400	+	0.592146i
$204$	−26.6157			−1.86348
$205$	3.40114	+	0.493570i	0.237546	+	0.0344724i
$206$	−30.5681			−2.12978
$207$	−0.0588911	+	0.181248i	−0.00409321	+	0.0125976i
$208$	−39.6489			−2.74916
$209$	−3.91269	−	2.84274i	−0.270647	−	0.196636i
$210$	−2.40575	−	1.74788i	−0.166013	−	0.120615i
$211$	5.93575	−	18.2684i	0.408634	−	1.25765i	−0.509189	−	0.860655i	$-0.670054\pi$
$211$	5.93575	−	18.2684i	0.408634	−	1.25765i	0.917823	−	0.396991i	$-0.129946\pi$
$212$	−14.7018	−	45.2474i	−1.00972	−	3.10761i
$213$	−5.20862	+	3.78428i	−0.356889	+	0.259295i
$214$	−24.6586			−1.68562
$215$	−2.56212	+	1.86149i	−0.174735	+	0.126952i
$216$	−18.5659	+	13.4889i	−1.26325	+	0.917803i
$217$	0.477977	+	0.347271i	0.0324472	+	0.0235743i
$218$	−8.46569	+	26.0547i	−0.573369	+	1.76465i
$219$	−18.5474			−1.25332
$220$	3.52655	+	2.56219i	0.237760	+	0.172743i
$221$	−3.40521	−	10.4802i	−0.229059	−	0.704971i
$222$	40.0605	−	29.1056i	2.68868	−	1.95344i
$223$	4.17525	−	12.8501i	0.279596	−	0.860507i	−0.708371	−	0.705840i	$-0.750570\pi$
$223$	4.17525	−	12.8501i	0.279596	−	0.860507i	0.987967	−	0.154667i	$-0.0494304\pi$
$224$	−3.06787	−	9.44194i	−0.204981	−	0.630866i
$225$	−2.20988	−	6.80133i	−0.147326	−	0.453422i
$226$	−3.31390	−	10.1991i	−0.220437	−	0.678436i
$227$	6.01738	+	18.5196i	0.399387	+	1.22919i	0.925492	+	0.378768i	$0.123652\pi$
$227$	6.01738	+	18.5196i	0.399387	+	1.22919i	−0.526104	+	0.850420i	$0.676348\pi$
$228$	8.99074	−	27.6707i	0.595427	−	1.83253i
$229$	−15.8980	+	11.5506i	−1.05057	+	0.763282i	−0.972320	−	0.233652i	$-0.924932\pi$
$229$	−15.8980	+	11.5506i	−1.05057	+	0.763282i	−0.0782472	+	0.996934i	$0.524932\pi$
$230$	−0.0542867	−	0.167077i	−0.00357956	−	0.0110168i
$231$	2.91284	+	2.11630i	0.191651	+	0.139242i
$232$	64.6154			4.24221
$233$	0.412983	−	1.27103i	0.0270554	−	0.0832680i	−0.936617	−	0.350355i	$-0.886061\pi$
$233$	0.412983	−	1.27103i	0.0270554	−	0.0832680i	0.963672	+	0.267087i	$0.0860610\pi$
$234$	13.5033	+	9.81072i	0.882738	+	0.641347i
$235$	−1.02067	+	0.741560i	−0.0665812	+	0.0483740i
$236$	14.7227	−	10.6967i	0.958365	−	0.696293i
$237$	−36.9660			−2.40120
$238$	5.50780	−	4.00165i	0.357017	−	0.259388i
$239$	5.62148	+	17.3011i	0.363623	+	1.11912i	0.950839	+	0.309687i	$0.100224\pi$
$239$	5.62148	+	17.3011i	0.363623	+	1.11912i	−0.587215	+	0.809431i	$0.699776\pi$
$240$	−3.31294	+	10.1962i	−0.213849	+	0.658161i
$241$	8.64409	+	6.28030i	0.556815	+	0.404550i	0.830292	−	0.557329i	$-0.188174\pi$
$241$	8.64409	+	6.28030i	0.556815	+	0.404550i	−0.273477	+	0.961879i	$0.588174\pi$
$242$	17.1456	+	12.4570i	1.10216	+	0.800768i
$243$	14.4593			0.927567
$244$	−19.0471	+	58.6211i	−1.21937	+	3.75283i
$245$	0.536732			0.0342906
$246$	−6.00342	−	34.9637i	−0.382764	−	2.22921i
$247$	12.0458			0.766456
$248$	1.32984	−	4.09281i	0.0844446	−	0.259894i
$249$	29.9784			1.89980
$250$	10.9925	+	7.98651i	0.695226	+	0.505112i
$251$	−13.7229	−	9.97029i	−0.866183	−	0.629319i	0.0633767	−	0.997990i	$-0.479813\pi$
$251$	−13.7229	−	9.97029i	−0.866183	−	0.629319i	−0.929560	+	0.368671i	$0.879813\pi$
$252$	−2.24857	+	6.92039i	−0.141647	+	0.435944i
$253$	0.0657293	+	0.202294i	0.00413237	+	0.0127181i
$254$	29.4754	−	21.4151i	1.84945	−	1.34371i
$255$	−2.97962			−0.186591
$256$	14.3985	−	10.4611i	0.899908	−	0.653821i
$257$	−0.486700	+	0.353608i	−0.0303595	+	0.0220575i	−0.602862	−	0.797846i	$-0.705973\pi$
$257$	−0.486700	+	0.353608i	−0.0303595	+	0.0220575i	0.572502	+	0.819903i	$0.305973\pi$
$258$	26.4470	+	19.2149i	1.64652	+	1.19626i
$259$	−2.76188	+	8.50021i	−0.171615	+	0.528177i
$260$	−10.8570			−0.673322
$261$	−10.8922	−	7.91368i	−0.674213	−	0.489845i
$262$	−4.20633	−	12.9458i	−0.259868	−	0.799791i
$263$	3.41333	−	2.47993i	0.210475	−	0.152919i	−0.477554	−	0.878603i	$-0.658476\pi$
$263$	3.41333	−	2.47993i	0.210475	−	0.152919i	0.688029	+	0.725684i	$0.258476\pi$
$264$	8.10414	−	24.9420i	0.498775	−	1.53507i
$265$	−1.64586	−	5.06543i	−0.101104	−	0.311167i
$266$	2.29973	+	7.07785i	0.141006	+	0.433971i
$267$	7.21417	+	22.2029i	0.441500	+	1.35880i
$268$	−13.8684	−	42.6826i	−0.847149	−	2.60726i
$269$	−3.41576	+	10.5126i	−0.208262	+	0.640966i	0.791301	+	0.611426i	$0.209404\pi$
$269$	−3.41576	+	10.5126i	−0.208262	+	0.640966i	−0.999564	+	0.0295391i	$0.990596\pi$
$270$	−3.56601	+	2.59086i	−0.217021	+	0.157675i
$271$	−3.10406	−	9.55331i	−0.188558	−	0.580322i	0.811433	−	0.584445i	$-0.198688\pi$
$271$	−3.10406	−	9.55331i	−0.188558	−	0.580322i	−0.999992	+	0.00412257i	$0.998688\pi$
$272$	−19.8571	−	14.4270i	−1.20401	−	0.874768i
$273$	−8.96760			−0.542744
$274$	1.59801	−	4.91816i	0.0965392	−	0.297117i
$275$	−6.45735	−	4.69154i	−0.389393	−	0.282911i
$276$	−1.03521	+	0.752126i	−0.0623125	+	0.0452727i
$277$	11.9574	−	8.68757i	0.718452	−	0.521986i	−0.167438	−	0.985883i	$-0.553549\pi$
$277$	11.9574	−	8.68757i	0.718452	−	0.521986i	0.885889	+	0.463897i	$0.153549\pi$
$278$	−17.9954			−1.07929
$279$	−0.725432	+	0.527057i	−0.0434305	+	0.0315541i
$280$	−1.20811	−	3.71818i	−0.0721983	−	0.222203i
$281$	1.23172	−	3.79083i	0.0734780	−	0.226142i	−0.907572	−	0.419896i	$-0.862066\pi$
$281$	1.23172	−	3.79083i	0.0734780	−	0.226142i	0.981050	+	0.193754i	$0.0620665\pi$
$282$	10.5357	+	7.65462i	0.627391	+	0.455826i
$283$	−2.90214	−	2.10853i	−0.172514	−	0.125339i	0.498178	−	0.867075i	$-0.334003\pi$
$283$	−2.90214	−	2.10853i	−0.172514	−	0.125339i	−0.670692	+	0.741736i	$0.734003\pi$
$284$	−14.5225			−0.861750
$285$	1.00651	−	3.09772i	0.0596205	−	0.183493i
$286$	18.6291			1.10156
$287$	4.58602	+	4.46861i	0.270704	+	0.263773i
$288$	15.0676			0.887868
$289$	−3.14529	+	9.68020i	−0.185017	+	0.569423i
$290$	12.4109			0.728794
$291$	−30.6082	−	22.2382i	−1.79428	−	1.30362i
$292$	−33.8467	−	24.5911i	−1.98073	−	1.43908i
$293$	−2.32885	+	7.16745i	−0.136053	+	0.418727i	−0.995752	−	0.0920730i	$-0.970651\pi$
$293$	−2.32885	+	7.16745i	−0.136053	+	0.418727i	0.859700	+	0.510800i	$0.170651\pi$
$294$	−1.71205	−	5.26916i	−0.0998490	−	0.307304i
$295$	1.64820	−	1.19749i	0.0959618	−	0.0697203i
$296$	65.1012			3.78393
$297$	4.31766	−	3.13697i	0.250536	−	0.182025i
$298$	15.7469	−	11.4408i	0.912194	−	0.662748i
$299$	−0.428600	−	0.311396i	−0.0247866	−	0.0180085i
$300$	14.8380	−	45.6666i	0.856671	−	2.63656i
$301$	−5.90042			−0.340095
$302$	−34.0649	−	24.7496i	−1.96022	−	1.42418i
$303$	10.9277	+	33.6320i	0.627779	+	1.93211i
$304$	21.7065	−	15.7707i	1.24496	−	0.904513i
$305$	−2.13232	+	6.56261i	−0.122096	+	0.375774i
$306$	3.19295	+	9.82689i	0.182529	+	0.561766i
$307$	−2.38359	−	7.33595i	−0.136039	−	0.418685i	0.859711	−	0.510780i	$-0.170643\pi$
$307$	−2.38359	−	7.33595i	−0.136039	−	0.418685i	−0.995750	+	0.0920956i	$0.970643\pi$
$308$	2.50967	+	7.72397i	0.143002	+	0.440114i
$309$	7.70256	+	23.7060i	0.438183	+	1.34859i
$310$	0.255426	−	0.786121i	0.0145072	−	0.0446487i
$311$	15.9759	−	11.6072i	0.905913	−	0.658184i	−0.0340650	−	0.999420i	$-0.510845\pi$
$311$	15.9759	−	11.6072i	0.905913	−	0.658184i	0.939978	+	0.341235i	$0.110845\pi$
$312$	20.1848	+	62.1224i	1.14274	+	3.51699i
$313$	−9.41906	−	6.84335i	−0.532397	−	0.386809i	0.288857	−	0.957372i	$-0.406725\pi$
$313$	−9.41906	−	6.84335i	−0.532397	−	0.386809i	−0.821254	+	0.570563i	$0.806725\pi$
$314$	21.9755			1.24015
$315$	−0.251727	+	0.774736i	−0.0141832	+	0.0436514i
$316$	−67.4583	−	49.0113i	−3.79483	−	2.75710i
$317$	−6.29426	+	4.57304i	−0.353521	+	0.256848i	−0.750344	−	0.661047i	$-0.770112\pi$
$317$	−6.29426	+	4.57304i	−0.353521	+	0.256848i	0.396824	+	0.917895i	$0.370112\pi$
$318$	−44.4780	+	32.3152i	−2.49420	+	1.81214i
$319$	−15.0269			−0.841345
$320$	−3.07559	+	2.23455i	−0.171931	+	0.124915i
$321$	6.21346	+	19.1231i	0.346801	+	1.06735i
$322$	0.101143	−	0.311286i	0.00563648	−	0.0173473i
$323$	6.03283	+	4.38311i	0.335676	+	0.243883i
$324$	43.6348	+	31.7025i	2.42416	+	1.76125i
$325$	19.8799			1.10274
$326$	0.849619	−	2.61486i	0.0470561	−	0.144824i
$327$	22.3390			1.23535
$328$	20.6335	−	41.8275i	1.13929	−	2.30954i
$329$	−2.35055			−0.129590
$330$	1.55659	−	4.79069i	0.0856875	−	0.263719i
$331$	11.2979			0.620989			0.310495	−	0.950575i	$-0.399505\pi$
$331$	11.2979			0.620989			0.310495	+	0.950575i	$0.399505\pi$
$332$	54.7069	+	39.7469i	3.00243	+	2.18139i
$333$	−10.9741	−	7.97317i	−0.601379	−	0.436927i
$334$	−3.03152	+	9.33005i	−0.165877	+	0.510518i
$335$	−1.55256	−	4.77830i	−0.0848257	−	0.261067i
$336$	−16.1596	+	11.7406i	−0.881579	+	0.640505i
$337$	9.62039			0.524056			0.262028	−	0.965060i	$-0.415609\pi$
$337$	9.62039			0.524056			0.262028	+	0.965060i	$0.415609\pi$
$338$	−10.1234	+	7.35507i	−0.550640	+	0.400063i
$339$	−7.07453	+	5.13995i	−0.384236	+	0.279164i
$340$	−5.43744	−	3.95053i	−0.294887	−	0.214248i
$341$	−0.309265	+	0.951821i	−0.0167477	+	0.0515440i
$342$	−11.2949			−0.610761
$343$	0.809017	+	0.587785i	0.0436828	+	0.0317374i
$344$	13.2810	+	40.8748i	0.716065	+	2.20382i
$345$	−0.115892	+	0.0842002i	−0.00623940	+	0.00453319i
$346$	−1.53421	+	4.72182i	−0.0824798	+	0.253847i
$347$	−9.25525	−	28.4847i	−0.496848	−	1.52914i	−0.814057	−	0.580785i	$-0.802746\pi$
$347$	−9.25525	−	28.4847i	−0.496848	−	1.52914i	0.317209	−	0.948356i	$-0.397254\pi$
$348$	−27.9349	−	85.9748i	−1.49747	−	4.60873i
$349$	−5.77345	−	17.7688i	−0.309046	−	0.951145i	−0.978136	−	0.207964i	$-0.933316\pi$
$349$	−5.77345	−	17.7688i	−0.309046	−	0.951145i	0.669091	−	0.743181i	$-0.266684\pi$
$350$	3.79539	+	11.6810i	0.202872	+	0.624376i
$351$	−4.10763	+	12.6420i	−0.219249	+	0.674779i
$352$	13.6054	−	9.88491i	0.725171	−	0.526868i
$353$	−4.23406	−	13.0311i	−0.225356	−	0.693576i	−0.998255	−	0.0590464i	$-0.981194\pi$
$353$	−4.23406	−	13.0311i	−0.225356	−	0.693576i	0.772899	−	0.634529i	$-0.218806\pi$
$354$	−17.0132	−	12.3608i	−0.904243	−	0.656971i
$355$	−1.62579			−0.0862877
$356$	−16.2728	+	50.0825i	−0.862457	+	2.65437i
$357$	−4.49119	−	3.26304i	−0.237699	−	0.172698i
$358$	−23.5152	+	17.0848i	−1.24282	+	0.902961i
$359$	4.82336	−	3.50438i	0.254567	−	0.184954i	−0.453181	−	0.891418i	$-0.649711\pi$
$359$	4.82336	−	3.50438i	0.254567	−	0.184954i	0.707749	+	0.706464i	$0.249711\pi$
$360$	5.93353			0.312724
$361$	8.77662	−	6.37658i	0.461927	−	0.335610i
$362$	0.332220	+	1.02247i	0.0174611	+	0.0537398i
$363$	5.34025	−	16.4356i	0.280290	−	0.862645i
$364$	−16.3648	−	11.8897i	−0.857746	−	0.623189i
$365$	−3.78912	−	2.75296i	−0.198332	−	0.144097i
$366$	71.2275			3.72312
$367$	1.00157	−	3.08253i	0.0522817	−	0.160907i	−0.921507	−	0.388363i	$-0.873041\pi$
$367$	1.00157	−	3.08253i	0.0522817	−	0.160907i	0.973788	+	0.227456i	$0.0730408\pi$
$368$	−1.18003			−0.0615131
$369$	−8.60096	+	4.52383i	−0.447748	+	0.235501i
$370$	12.5042			0.650064
$371$	3.06644	−	9.43754i	0.159202	−	0.489973i
$372$	−6.02066			−0.312157
$373$	−17.0208	−	12.3664i	−0.881305	−	0.640305i	0.0522916	−	0.998632i	$-0.483347\pi$
$373$	−17.0208	−	12.3664i	−0.881305	−	0.640305i	−0.933596	+	0.358326i	$0.883347\pi$
$374$	9.32990	+	6.77857i	0.482438	+	0.350512i
$375$	3.42377	−	10.5373i	0.176803	−	0.544143i
$376$	5.29076	+	16.2833i	0.272850	+	0.839746i
$377$	30.2792	−	21.9992i	1.55946	−	1.13301i
$378$	−8.21235			−0.422398
$379$	−13.7748	+	10.0080i	−0.707563	+	0.514075i	−0.882387	−	0.470525i	$-0.844065\pi$
$379$	−13.7748	+	10.0080i	−0.707563	+	0.514075i	0.174823	+	0.984600i	$0.444065\pi$
$380$	5.94387	−	4.31848i	0.304914	−	0.221533i
$381$	−24.0350	−	17.4624i	−1.23135	−	0.894627i
$382$	−17.7176	+	54.5291i	−0.906510	+	2.78995i
$383$	−29.5504			−1.50995			−0.754977	−	0.655751i	$-0.772352\pi$
$383$	−29.5504			−1.50995			−0.754977	+	0.655751i	$0.772352\pi$
$384$	−2.39580	−	1.74065i	−0.122260	−	0.0888271i
$385$	0.280957	+	0.864696i	0.0143189	+	0.0440690i
$386$	27.1588	−	19.7320i	1.38235	−	1.00433i
$387$	2.76729	−	8.51685i	0.140669	−	0.432936i
$388$	−26.3717	−	81.1638i	−1.33882	−	4.12047i
$389$	10.6377	+	32.7394i	0.539351	+	1.65995i	0.734055	+	0.679090i	$0.237626\pi$
$389$	10.6377	+	32.7394i	0.539351	+	1.65995i	−0.194703	+	0.980862i	$0.562374\pi$
$390$	3.87697	+	11.9321i	0.196318	+	0.604204i
$391$	−0.101345	−	0.311909i	−0.00512526	−	0.0157739i
$392$	2.25086	−	6.92743i	0.113686	−	0.349888i
$393$	−8.97970	+	6.52414i	−0.452966	+	0.329099i
$394$	14.8760	+	45.7838i	0.749445	+	2.30655i
$395$	−7.55193	−	5.48680i	−0.379979	−	0.276071i
$396$	−12.3260			−0.619407
$397$	8.50336	−	26.1706i	0.426771	−	1.31347i	−0.474517	−	0.880247i	$-0.657377\pi$
$397$	8.50336	−	26.1706i	0.426771	−	1.31347i	0.901288	−	0.433221i	$-0.142623\pi$
$398$	7.61519	+	5.53276i	0.381715	+	0.277332i
$399$	4.90948	−	3.56695i	0.245782	−	0.178571i
$400$	35.8236	−	26.0274i	1.79118	−	1.30137i
$401$	9.27020			0.462932			0.231466	−	0.972843i	$-0.425648\pi$
$401$	9.27020			0.462932			0.231466	+	0.972843i	$0.425648\pi$
$402$	−41.9568	+	30.4834i	−2.09261	+	1.52037i
$403$	−0.770281	−	2.37068i	−0.0383704	−	0.118092i
$404$	−24.6493	+	75.8627i	−1.22635	+	3.77431i
$405$	4.88490	+	3.54909i	0.242733	+	0.176356i
$406$	18.7070	+	13.5914i	0.928412	+	0.674531i
$407$	−15.1399			−0.750456
$408$	−12.4954	+	38.4570i	−0.618617	+	1.90391i
$409$	−22.1120			−1.09337			−0.546683	−	0.837339i	$-0.684110\pi$
$409$	−22.1120			−1.09337			−0.546683	+	0.837339i	$0.684110\pi$
$410$	3.96315	−	8.03396i	0.195726	−	0.396769i
$411$	−4.21677			−0.207998
$412$	−17.3744	+	53.4730i	−0.855977	+	2.63443i
$413$	3.79572			0.186775
$414$	0.401884	+	0.291986i	0.0197515	+	0.0143503i
$415$	6.12442	+	4.44965i	0.300636	+	0.218425i
$416$	−12.9436	+	39.8362i	−0.634611	+	1.95313i
$417$	4.53447	+	13.9557i	0.222054	+	0.683412i
$418$	−10.1989	+	7.40991i	−0.498843	+	0.362430i
$419$	22.6298			1.10554			0.552769	−	0.833335i	$-0.313571\pi$
$419$	22.6298			1.10554			0.552769	+	0.833335i	$0.313571\pi$
$420$	−4.42496	+	3.21492i	−0.215916	+	0.156872i
$421$	24.7962	−	18.0155i	1.20849	−	0.878023i	0.213402	−	0.976965i	$-0.431546\pi$
$421$	24.7962	−	18.0155i	1.20849	−	0.878023i	0.995093	+	0.0989418i	$0.0315458\pi$
$422$	−40.5067	−	29.4298i	−1.97183	−	1.43262i
$423$	1.10241	−	3.39286i	0.0536008	−	0.164966i
$424$	−72.2800			−3.51023
$425$	9.95634	+	7.23371i	0.482953	+	0.350886i
$426$	5.18589	+	15.9605i	0.251257	+	0.773290i
$427$	−10.4009	+	7.55668i	−0.503334	+	0.365694i
$428$	−14.0155	+	43.1353i	−0.677466	+	2.08503i
$429$	−4.69416	−	14.4471i	−0.226636	−	0.697514i
$430$	2.55093	+	7.85097i	0.123017	+	0.378607i
$431$	3.13268	+	9.64141i	0.150896	+	0.464410i	0.997722	−	0.0674598i	$-0.0214894\pi$
$431$	3.13268	+	9.64141i	0.150896	+	0.464410i	−0.846826	+	0.531870i	$0.821489\pi$
$432$	9.14931	+	28.1587i	0.440196	+	1.35478i
$433$	−6.54130	+	20.1320i	−0.314355	+	0.967484i	0.661665	+	0.749800i	$0.269850\pi$
$433$	−6.54130	+	20.1320i	−0.314355	+	0.967484i	−0.976019	+	0.217684i	$0.930150\pi$
$434$	1.24590	−	0.905199i	0.0598051	−	0.0434510i
$435$	−3.12730	−	9.62485i	−0.149943	−	0.461476i
$436$	40.7659	+	29.6182i	1.95233	+	1.41845i
$437$	0.358506			0.0171497
$438$	−14.9397	+	45.9796i	−0.713845	+	2.19699i
$439$	18.2726	+	13.2758i	0.872104	+	0.633621i	0.931151	−	0.364635i	$-0.118806\pi$
$439$	18.2726	+	13.2758i	0.872104	+	0.633621i	−0.0590466	+	0.998255i	$0.518806\pi$
$440$	5.35772	−	3.89261i	0.255420	−	0.185573i
$441$	−1.22786	+	0.892089i	−0.0584693	+	0.0424804i
$442$	−28.7235			−1.36624
$443$	−29.1985	+	21.2139i	−1.38726	+	1.00790i	−0.391101	+	0.920348i	$0.627906\pi$
$443$	−29.1985	+	21.2139i	−1.38726	+	1.00790i	−0.996160	+	0.0875564i	$0.972094\pi$
$444$	−28.1449	−	86.6211i	−1.33570	−	4.11086i
$445$	−1.82173	+	5.60672i	−0.0863585	+	0.265784i
$446$	−28.4927	−	20.7012i	−1.34917	−	0.980229i
$447$	−12.8404	−	9.32910i	−0.607330	−	0.441251i
$448$	−7.08293			−0.334637
$449$	12.0232	−	37.0038i	0.567412	−	1.74632i	−0.0932612	−	0.995642i	$-0.529729\pi$
$449$	12.0232	−	37.0038i	0.567412	−	1.74632i	0.660673	−	0.750673i	$-0.270271\pi$
$450$	−18.6407			−0.878733
$451$	−4.79850	+	9.72737i	−0.225953	+	0.458044i
$452$	−19.7249			−0.927783
$453$	−10.6100	+	32.6543i	−0.498502	+	1.53423i
$454$	50.7575			2.38217
$455$	−1.83203	−	1.33105i	−0.0858868	−	0.0624004i
$456$	−35.7603	−	25.9814i	−1.67463	−	1.21669i
$457$	−8.71717	+	26.8287i	−0.407772	+	1.25499i	0.510786	+	0.859708i	$0.329354\pi$
$457$	−8.71717	+	26.8287i	−0.407772	+	1.25499i	−0.918558	+	0.395285i	$0.870646\pi$
$458$	15.8286	+	48.7154i	0.739621	+	2.27632i
$459$	−6.65723	+	4.83676i	−0.310733	+	0.225761i
$460$	−0.323125			−0.0150658
$461$	−10.5775	+	7.68498i	−0.492642	+	0.357925i	−0.806199	−	0.591644i	$-0.798479\pi$
$461$	−10.5775	+	7.68498i	−0.492642	+	0.357925i	0.313558	+	0.949569i	$0.398479\pi$
$462$	7.59263	−	5.51637i	0.353241	−	0.256645i
$463$	15.7394	+	11.4353i	0.731470	+	0.531444i	0.890028	−	0.455905i	$-0.150684\pi$
$463$	15.7394	+	11.4353i	0.731470	+	0.531444i	−0.158558	+	0.987350i	$0.550684\pi$
$464$	25.7613	−	79.2850i	1.19594	−	3.68071i
$465$	−0.674011			−0.0312565
$466$	−2.81827	−	2.04760i	−0.130554	−	0.0948531i
$467$	8.75010	+	26.9300i	0.404906	+	1.24617i	0.920974	+	0.389625i	$0.127395\pi$
$467$	8.75010	+	26.9300i	0.404906	+	1.24617i	−0.516067	+	0.856548i	$0.672605\pi$
$468$	24.8370	−	18.0451i	1.14809	−	0.834137i
$469$	2.89262	−	8.90258i	0.133569	−	0.411083i
$470$	1.01622	+	3.12759i	0.0468745	+	0.144265i
$471$	−5.53738	−	17.0423i	−0.255149	−	0.785268i
$472$	−8.54363	−	26.2946i	−0.393252	−	1.21031i
$473$	−3.08862	−	9.50580i	−0.142015	−	0.437077i
$474$	−29.7756	+	91.6398i	−1.36764	+	4.20916i
$475$	−10.8836	+	7.90743i	−0.499376	+	0.362818i
$476$	−3.86956	−	11.9093i	−0.177361	−	0.545861i
$477$	12.1843	+	8.85239i	0.557879	+	0.405323i
$478$	47.4181			2.16885
$479$	11.7651	−	36.2093i	0.537562	−	1.65445i	−0.200485	−	0.979697i	$-0.564252\pi$
$479$	11.7651	−	36.2093i	0.537562	−	1.65445i	0.738047	−	0.674749i	$-0.235748\pi$
$480$	9.16283	+	6.65719i	0.418224	+	0.303858i
$481$	30.5069	−	22.1645i	1.39099	−	1.01062i
$482$	22.5318	−	16.3703i	1.02629	−	0.745646i
$483$	−0.266893			−0.0121440
$484$	31.5364	−	22.9126i	1.43347	−	1.04148i
$485$	−2.95230	−	9.08626i	−0.134057	−	0.412586i
$486$	11.6468	−	35.8452i	0.528310	−	1.62597i
$487$	−6.81504	−	4.95141i	−0.308819	−	0.224370i	0.422571	−	0.906330i	$-0.361128\pi$
$487$	−6.81504	−	4.95141i	−0.308819	−	0.224370i	−0.731389	+	0.681960i	$0.761128\pi$
$488$	75.7593	+	55.0424i	3.42946	+	2.49165i
$489$	−2.24195			−0.101384
$490$	0.432331	−	1.33058i	0.0195307	−	0.0601093i
$491$	26.1761			1.18131			0.590657	−	0.806923i	$-0.298869\pi$
$491$	26.1761			1.18131			0.590657	+	0.806923i	$0.298869\pi$
$492$	−64.5745	−	9.37099i	−2.91124	−	0.422477i
$493$	23.1694			1.04350
$494$	9.70273	−	29.8619i	0.436547	−	1.34355i
$495$	−1.37990			−0.0620217
$496$	−4.49181	−	3.26349i	−0.201688	−	0.146535i
$497$	−2.45055	−	1.78043i	−0.109922	−	0.0798631i
$498$	24.1472	−	74.3174i	1.08206	−	3.33024i
$499$	2.21493	+	6.81684i	0.0991537	+	0.305164i	0.988314	−	0.152432i	$-0.0487106\pi$
$499$	2.21493	+	6.81684i	0.0991537	+	0.305164i	−0.889160	+	0.457596i	$0.848711\pi$
$500$	20.2188	−	14.6898i	0.904212	−	0.656949i
$501$	7.99947			0.357390
$502$	−35.7703	+	25.9886i	−1.59651	+	1.15993i
$503$	−11.0373	+	8.01903i	−0.492127	+	0.357551i	−0.806002	−	0.591913i	$-0.798373\pi$
$503$	−11.0373	+	8.01903i	−0.492127	+	0.357551i	0.313875	+	0.949464i	$0.398373\pi$
$504$	8.94361	+	6.49791i	0.398380	+	0.289440i
$505$	−2.75948	+	8.49280i	−0.122795	+	0.377924i
$506$	0.554438			0.0246478
$507$	8.25485	+	5.99750i	0.366611	+	0.266358i
$508$	−20.7083	−	63.7335i	−0.918781	−	2.82772i
$509$	7.22917	−	5.25230i	0.320427	−	0.232804i	−0.415931	−	0.909396i	$-0.636544\pi$
$509$	7.22917	−	5.25230i	0.320427	−	0.232804i	0.736358	+	0.676592i	$0.236544\pi$
$510$	−2.40005	+	7.38658i	−0.106276	+	0.327083i
$511$	−2.69653	−	8.29908i	−0.119288	−	0.367130i
$512$	−13.4746	−	41.4706i	−0.595499	−	1.83276i
$513$	−2.77967	−	8.55494i	−0.122725	−	0.377710i
$514$	0.484576	+	1.49137i	0.0213737	+	0.0657816i
$515$	−1.94506	+	5.98628i	−0.0857096	+	0.263787i
$516$	48.6447	−	35.3424i	2.14146	−	1.55586i
$517$	−1.23041	−	3.78683i	−0.0541136	−	0.166544i
$518$	18.8476	+	13.6936i	0.828117	+	0.601662i
$519$	4.04843			0.177706
$520$	−5.09710	+	15.6872i	−0.223522	+	0.687931i
$521$	28.0490	+	20.3788i	1.22885	+	0.892812i	0.996803	−	0.0798931i	$-0.0254579\pi$
$521$	28.0490	+	20.3788i	1.22885	+	0.892812i	0.232046	+	0.972705i	$0.425458\pi$
$522$	−28.3918	+	20.6279i	−1.24268	+	0.902857i
$523$	17.4325	−	12.6654i	0.762270	−	0.553821i	−0.137336	−	0.990525i	$-0.543854\pi$
$523$	17.4325	−	12.6654i	0.762270	−	0.553821i	0.899606	+	0.436703i	$0.143854\pi$
$524$	−25.0369			−1.09374
$525$	8.10242	−	5.88675i	0.353619	−	0.256919i
$526$	−3.39843	−	10.4593i	−0.148179	−	0.456047i
$527$	0.476844	−	1.46758i	0.0207717	−	0.0639286i
$528$	−27.3735	−	19.8880i	−1.19128	−	0.865515i
$529$	18.5946	+	13.5098i	0.808462	+	0.587382i
$530$	−13.8831			−0.603043
$531$	−1.78019	+	5.47886i	−0.0772536	+	0.237762i
$532$	13.6884			0.593469
$533$	−4.57173	−	26.6256i	−0.198024	−	1.15328i
$534$	60.8527			2.63335
$535$	−1.56903	+	4.82899i	−0.0678352	+	0.208775i
$536$	−68.1829			−2.94505
$537$	19.1749	+	13.9314i	0.827458	+	0.601183i
$538$	23.3098	+	16.9355i	1.00496	+	0.730143i
$539$	−0.523458	+	1.61104i	−0.0225469	+	0.0693923i
$540$	2.50534	+	7.71065i	0.107813	+	0.331813i
$541$	6.50781	−	4.72820i	0.279793	−	0.203281i	−0.439034	−	0.898470i	$-0.644679\pi$
$541$	6.50781	−	4.72820i	0.279793	−	0.203281i	0.718827	+	0.695189i	$0.244679\pi$
$542$	−26.1832			−1.12467
$543$	0.709227	−	0.515283i	0.0304358	−	0.0221129i
$544$	−20.9777	+	15.2412i	−0.899410	+	0.653459i
$545$	4.56373	+	3.31574i	0.195489	+	0.142031i
$546$	−7.22328	+	22.2310i	−0.309128	+	0.951398i
$547$	1.59318			0.0681193			0.0340597	−	0.999420i	$-0.489156\pi$
$547$	1.59318			0.0681193			0.0340597	+	0.999420i	$0.489156\pi$
$548$	−7.69509	−	5.59081i	−0.328718	−	0.238828i
$549$	−6.02954	−	18.5570i	−0.257335	−	0.791994i
$550$	−16.8318	+	12.2290i	−0.717710	+	0.521447i
$551$	−7.82657	+	24.0877i	−0.333423	+	1.02617i
$552$	0.600738	+	1.84888i	0.0255691	+	0.0786936i
$553$	−5.37434	−	16.5405i	−0.228540	−	0.703374i
$554$	−11.9052	−	36.6405i	−0.505805	−	1.55671i
$555$	−3.15081	−	9.69720i	−0.133745	−	0.411623i
$556$	−10.2283	+	31.4794i	−0.433775	+	1.33502i
$557$	−12.1927	+	8.85848i	−0.516619	+	0.375346i	−0.815329	−	0.578998i	$-0.803444\pi$
$557$	−12.1927	+	8.85848i	−0.516619	+	0.375346i	0.298709	+	0.954344i	$0.403444\pi$
$558$	0.722266	+	2.22291i	0.0305760	+	0.0941032i
$559$	20.1399	+	14.6325i	0.851828	+	0.618889i
$560$	−5.04396			−0.213146
$561$	2.90593	−	8.94353i	0.122688	−	0.377596i
$562$	−8.40546	−	6.10692i	−0.354563	−	0.257605i
$563$	−15.7118	+	11.4153i	−0.662174	+	0.481098i	−0.867396	−	0.497618i	$-0.834208\pi$
$563$	−15.7118	+	11.4153i	−0.662174	+	0.481098i	0.205222	+	0.978715i	$0.434208\pi$
$564$	19.3786	−	14.0794i	0.815985	−	0.592848i
$565$	−2.20820			−0.0928997
$566$	−7.56474	+	5.49611i	−0.317970	+	0.231019i
$567$	3.47634	+	10.6991i	0.145993	+	0.449319i
$568$	−6.81795	+	20.9835i	−0.286075	+	0.880448i
$569$	−16.4301	−	11.9372i	−0.688786	−	0.500433i	0.187475	−	0.982269i	$-0.439970\pi$
$569$	−16.4301	−	11.9372i	−0.688786	−	0.500433i	−0.876261	+	0.481837i	$0.839970\pi$
$570$	−6.86862	−	4.99034i	−0.287695	−	0.209023i
$571$	9.16279			0.383451			0.191725	−	0.981449i	$-0.438592\pi$
$571$	9.16279			0.383451			0.191725	+	0.981449i	$0.438592\pi$
$572$	10.5885	−	32.5880i	0.442727	−	1.36257i
$573$	46.7526			1.95312
$574$	14.7718	−	7.76949i	0.616563	−	0.324292i
$575$	0.591664			0.0246741
$576$	3.32189	−	10.2237i	0.138412	−	0.425988i
$577$	27.7993			1.15730			0.578649	−	0.815577i	$-0.303580\pi$
$577$	27.7993			1.15730			0.578649	+	0.815577i	$0.303580\pi$
$578$	21.4640	+	15.5945i	0.892786	+	0.648647i
$579$	−22.1459	−	16.0900i	−0.920353	−	0.668676i
$580$	7.05417	−	21.7105i	0.292908	−	0.901479i
$581$	4.35845	+	13.4139i	0.180819	+	0.556503i
$582$	−79.7836	+	57.9662i	−3.30714	+	2.40278i
$583$	16.8094			0.696173
$584$	−51.4218	+	37.3601i	−2.12785	+	1.54597i
$585$	2.78049	−	2.02015i	0.114959	−	0.0835228i
$586$	15.8925	+	11.5466i	0.656513	+	0.476984i
$587$	−5.85133	+	18.0085i	−0.241510	+	0.743292i	0.754681	+	0.656092i	$0.227792\pi$
$587$	−5.85133	+	18.0085i	−0.241510	+	0.743292i	−0.996191	+	0.0871995i	$0.972208\pi$
$588$	−10.1905			−0.420248
$589$	1.36467	+	0.991488i	0.0562301	+	0.0408535i
$590$	−1.64101	−	5.05050i	−0.0675591	−	0.207926i
$591$	31.7575	−	23.0732i	1.30633	−	0.949104i
$592$	25.9549	−	79.8810i	1.06674	−	3.28309i
$593$	12.6391	+	38.8993i	0.519027	+	1.59740i	0.775832	+	0.630939i	$0.217330\pi$
$593$	12.6391	+	38.8993i	0.519027	+	1.59740i	−0.256805	+	0.966463i	$0.582670\pi$
$594$	−4.29882	−	13.2304i	−0.176383	−	0.542850i
$595$	−0.433196	−	1.33324i	−0.0177593	−	0.0546575i
$596$	−11.0632	−	34.0489i	−0.453165	−	1.39470i
$597$	2.37186	−	7.29983i	0.0970737	−	0.298762i
$598$	−1.11719	+	0.811688i	−0.0456854	+	0.0331924i
$599$	0.0803945	+	0.247429i	0.00328483	+	0.0101097i	0.952685	−	0.303958i	$-0.0983082\pi$
$599$	0.0803945	+	0.247429i	0.00328483	+	0.0101097i	−0.949401	+	0.314067i	$0.898308\pi$
$600$	−59.0175	−	42.8787i	−2.40938	−	1.75052i
$601$	−39.8492			−1.62548			−0.812741	−	0.582625i	$-0.802026\pi$
$601$	−39.8492			−1.62548			−0.812741	+	0.582625i	$0.802026\pi$
$602$	−4.75271	+	14.6273i	−0.193706	+	0.596166i
$603$	11.4936	+	8.35060i	0.468056	+	0.340063i
$604$	−62.6566	+	45.5227i	−2.54946	+	1.85229i
$605$	3.53049	−	2.56505i	0.143535	−	0.104284i
$606$	92.1768			3.74443
$607$	27.5432	−	20.0113i	1.11794	−	0.812235i	0.134049	−	0.990975i	$-0.457202\pi$
$607$	27.5432	−	20.0113i	1.11794	−	0.812235i	0.983896	+	0.178740i	$0.0572022\pi$
$608$	−8.75904	−	26.9575i	−0.355226	−	1.09327i
$609$	5.82656	−	17.9323i	0.236104	−	0.726654i
$610$	14.5514	+	10.5722i	0.589168	+	0.428055i
$611$	8.02314	+	5.82915i	0.324582	+	0.235822i
$612$	19.0050			0.768233
$613$	−11.5259	+	35.4731i	−0.465527	+	1.43275i	0.392791	+	0.919628i	$0.371510\pi$
$613$	−11.5259	+	35.4731i	−0.465527	+	1.43275i	−0.858318	+	0.513118i	$0.828490\pi$
$614$	−20.1060			−0.811413
$615$	−7.22909	−	1.04908i	−0.291505	−	0.0423029i
$616$	12.3386			0.497135
$617$	4.51307	−	13.8898i	0.181690	−	0.559183i	−0.818186	−	0.574953i	$-0.805020\pi$
$617$	4.51307	−	13.8898i	0.181690	−	0.559183i	0.999876	+	0.0157706i	$0.00502016\pi$
$618$	64.9723			2.61357
$619$	−8.56543	−	6.22315i	−0.344274	−	0.250130i	0.402189	−	0.915557i	$-0.368249\pi$
$619$	−8.56543	−	6.22315i	−0.344274	−	0.250130i	−0.746463	+	0.665427i	$0.768249\pi$
$620$	−1.22999	−	0.893637i	−0.0493974	−	0.0358893i
$621$	−0.122251	+	0.376249i	−0.00490576	+	0.0150984i
$622$	−15.9062	−	48.9543i	−0.637782	−	1.96289i
$623$	−8.88592	+	6.45600i	−0.356007	+	0.258654i
$624$	84.2734			3.37363
$625$	−16.7966	+	12.2035i	−0.671865	+	0.488138i
$626$	−24.5518	+	17.8379i	−0.981287	+	0.712947i
$627$	8.31639	+	6.04221i	0.332125	+	0.241303i
$628$	12.4905	−	38.4418i	0.498425	−	1.53400i
$629$	23.3436			0.930769
$630$	1.71783	+	1.24808i	0.0684401	+	0.0497246i
$631$	−0.374645	−	1.15304i	−0.0149144	−	0.0459017i	0.943322	−	0.331878i	$-0.107682\pi$
$631$	−0.374645	−	1.15304i	−0.0149144	−	0.0459017i	−0.958237	+	0.285976i	$0.907682\pi$
$632$	−102.486	+	74.4607i	−4.07669	+	2.96189i
$633$	−12.6164	+	38.8292i	−0.501456	+	1.54332i
$634$	6.26679	+	19.2872i	0.248886	+	0.765992i
$635$	−2.31828	−	7.13495i	−0.0919983	−	0.283142i
$636$	31.2485	+	96.1730i	1.23908	+	3.81351i
$637$	−1.30376	−	4.01258i	−0.0516570	−	0.158984i
$638$	−12.1040	+	37.2522i	−0.479201	+	1.47483i
$639$	3.71923	−	2.70218i	0.147130	−	0.106896i
$640$	−0.231086	−	0.711209i	−0.00913446	−	0.0281130i
$641$	5.10839	+	3.71146i	0.201769	+	0.146594i	0.684082	−	0.729405i	$-0.260203\pi$
$641$	5.10839	+	3.71146i	0.201769	+	0.146594i	−0.482313	+	0.875999i	$0.660203\pi$
$642$	52.4115			2.06852
$643$	8.00338	−	24.6319i	0.315622	−	0.971386i	−0.659875	−	0.751375i	$-0.729391\pi$
$643$	8.00338	−	24.6319i	0.315622	−	0.971386i	0.975498	−	0.220010i	$-0.0706091\pi$
$644$	−0.487046	−	0.353860i	−0.0191923	−	0.0139440i
$645$	5.44575	−	3.95657i	0.214426	−	0.155790i
$646$	15.7252	−	11.4250i	0.618701	−	0.449512i
$647$	7.21283			0.283566			0.141783	−	0.989898i	$-0.454717\pi$
$647$	7.21283			0.283566			0.141783	+	0.989898i	$0.454717\pi$
$648$	66.2924	−	48.1643i	2.60421	−	1.89207i
$649$	1.98690	+	6.11504i	0.0779926	+	0.240036i
$650$	16.0130	−	49.2830i	0.628082	−	1.93304i
$651$	−1.01594	−	0.738121i	−0.0398177	−	0.0289293i
$652$	−4.09128	−	2.97249i	−0.160227	−	0.116412i
$653$	7.83115			0.306457			0.153228	−	0.988191i	$-0.451033\pi$
$653$	7.83115			0.306457			0.153228	+	0.988191i	$0.451033\pi$
$654$	17.9938	−	55.3791i	0.703611	−	2.16549i
$655$	−2.80287			−0.109517
$656$	−43.0973	−	41.9939i	−1.68267	−	1.63959i
$657$	13.2438			0.516690
$658$	−1.89334	+	5.82710i	−0.0738100	+	0.227164i
$659$	25.6845			1.00053			0.500264	−	0.865873i	$-0.333236\pi$
$659$	25.6845			1.00053			0.500264	+	0.865873i	$0.333236\pi$
$660$	−7.49564	−	5.44590i	−0.291768	−	0.211982i
$661$	−6.87362	−	4.99397i	−0.267353	−	0.194243i	0.446030	−	0.895018i	$-0.352838\pi$
$661$	−6.87362	−	4.99397i	−0.267353	−	0.194243i	−0.713382	+	0.700775i	$0.752838\pi$
$662$	9.10031	−	28.0079i	0.353694	−	1.08856i
$663$	7.23774	+	22.2755i	0.281090	+	0.865108i
$664$	83.1137	−	60.3856i	3.22544	−	2.34342i
$665$	1.53242			0.0594245
$666$	−28.6053	+	20.7829i	−1.10843	+	0.805323i
$667$	0.901168	−	0.654737i	0.0348934	−	0.0253515i
$668$	14.5980	+	10.6061i	0.564815	+	0.410362i
$669$	−8.87447	+	27.3128i	−0.343107	+	1.05597i
$670$	−13.0961			−0.505948
$671$	−17.6185	−	12.8006i	−0.680155	−	0.494162i
$672$	6.52074	+	20.0688i	0.251543	+	0.774169i
$673$	−27.6043	+	20.0557i	−1.06407	+	0.773089i	−0.974836	−	0.222922i	$-0.928440\pi$
$673$	−27.6043	+	20.0557i	−1.06407	+	0.773089i	−0.0892294	+	0.996011i	$0.528440\pi$
$674$	7.74910	−	23.8493i	0.298484	−	0.918639i
$675$	−4.58746	−	14.1187i	−0.176571	−	0.543430i
$676$	7.11230	+	21.8894i	0.273550	+	0.841900i
$677$	−6.45525	−	19.8672i	−0.248095	−	0.763559i	−0.995112	−	0.0987537i	$-0.968514\pi$
$677$	−6.45525	−	19.8672i	−0.248095	−	0.763559i	0.747017	−	0.664805i	$-0.231486\pi$
$678$	7.04366	+	21.6781i	0.270510	+	0.832544i
$679$	5.50051	−	16.9288i	0.211090	−	0.649669i
$680$	−8.26087	+	6.00187i	−0.316790	+	0.230161i
$681$	−12.7899	−	39.3632i	−0.490109	−	1.50840i
$682$	2.11049	+	1.53336i	0.0808147	+	0.0587153i
$683$	−46.8627			−1.79315			−0.896576	−	0.442890i	$-0.853953\pi$
$683$	−46.8627			−1.79315			−0.896576	+	0.442890i	$0.853953\pi$
$684$	−6.41986	+	19.7583i	−0.245470	+	0.755478i
$685$	−0.861462	−	0.625889i	−0.0329148	−	0.0239140i
$686$	2.10879	−	1.53213i	0.0805140	−	0.0584968i
$687$	33.7910	−	24.5506i	1.28921	−	0.936664i
$688$	55.4495			2.11399
$689$	−33.8709	+	24.6087i	−1.29038	+	0.937515i
$690$	0.115386	+	0.355121i	0.00439267	+	0.0135192i
$691$	3.23740	−	9.96371i	0.123157	−	0.379037i	−0.870404	−	0.492338i	$-0.836142\pi$
$691$	3.23740	−	9.96371i	0.123157	−	0.379037i	0.993561	+	0.113301i	$0.0361424\pi$
$692$	7.38788	+	5.36761i	0.280845	+	0.204046i
$693$	−2.07992	−	1.51115i	−0.0790096	−	0.0574038i
$694$	−78.0696			−2.96348
$695$	−1.14505	+	3.52411i	−0.0434343	+	0.133677i
$696$	−137.340			−5.20584
$697$	7.39862	−	14.9983i	0.280243	−	0.568099i
$698$	−48.7000			−1.84332
$699$	−0.877792	+	2.70156i	−0.0332011	+	0.102183i
$700$	22.5909			0.853854
$701$	−38.1012	−	27.6822i	−1.43906	−	1.04554i	−0.988237	−	0.152930i	$-0.951129\pi$
$701$	−38.1012	−	27.6822i	−1.43906	−	1.04554i	−0.450827	−	0.892611i	$-0.648871\pi$
$702$	28.0312	+	20.3659i	1.05797	+	0.768661i
$703$	−7.88541	+	24.2688i	−0.297404	+	0.915315i
$704$	−3.70761	−	11.4109i	−0.139736	−	0.430063i
$705$	2.16942	−	1.57618i	0.0817053	−	0.0593624i
$706$	−35.7150			−1.34415
$707$	−13.4600	+	9.77924i	−0.506214	+	0.367786i
$708$	−31.2929	+	22.7356i	−1.17606	+	0.854457i
$709$	8.28207	+	6.01727i	0.311040	+	0.225983i	0.732342	−	0.680937i	$-0.238427\pi$
$709$	8.28207	+	6.01727i	0.311040	+	0.225983i	−0.421303	+	0.906920i	$0.638427\pi$
$710$	−1.30955	+	4.03038i	−0.0491465	+	0.151257i
$711$	26.3956			0.989914
$712$	64.7244	+	47.0251i	2.42565	+	1.76234i
$713$	−0.0229250	−	0.0705560i	−0.000858549	−	0.00264234i
$714$	−11.7068	+	8.50547i	−0.438115	+	0.318309i
$715$	1.18538	−	3.64821i	0.0443306	−	0.136435i
$716$	16.5209	+	50.8461i	0.617415	+	1.90021i
$717$	−11.9484	−	36.7734i	−0.446221	−	1.37333i
$718$	−4.80231	−	14.7800i	−0.179221	−	0.551585i
$719$	−1.12324	−	3.45699i	−0.0418899	−	0.128924i	0.927924	−	0.372768i	$-0.121591\pi$
$719$	−1.12324	−	3.45699i	−0.0418899	−	0.128924i	−0.969814	+	0.243844i	$0.921591\pi$
$720$	2.36561	−	7.28061i	0.0881612	−	0.271332i
$721$	−9.48748	+	6.89306i	−0.353332	+	0.256711i
$722$	−8.73831	−	26.8938i	−0.325206	−	1.00088i
$723$	−18.3729	−	13.3487i	−0.683297	−	0.496444i
$724$	1.97744			0.0734910
$725$	−12.9167	+	39.7534i	−0.479713	+	1.47641i
$726$	−36.4429	−	26.4773i	−1.35252	−	0.982665i
$727$	−41.4957	+	30.1484i	−1.53899	+	1.11814i	−0.588027	+	0.808841i	$0.700095\pi$
$727$	−41.4957	+	30.1484i	−1.53899	+	1.11814i	−0.950964	+	0.309301i	$0.899905\pi$
$728$	−24.8622	+	18.0635i	−0.921456	+	0.669477i
$729$	3.01586			0.111699
$730$	−9.87676	+	7.17589i	−0.365555	+	0.265592i
$731$	4.76223	+	14.6566i	0.176137	+	0.542095i
$732$	40.4845	−	124.599i	1.49635	−	4.60530i
$733$	−28.0676	−	20.3923i	−1.03670	−	0.753206i	−0.0670608	−	0.997749i	$-0.521362\pi$
$733$	−28.0676	−	20.3923i	−1.03670	−	0.753206i	−0.969639	+	0.244543i	$0.921362\pi$
$734$	−6.83493	−	4.96587i	−0.252282	−	0.183294i
$735$	−1.14082			−0.0420798
$736$	−0.385225	+	1.18560i	−0.0141996	+	0.0437019i
$737$	15.8566			0.584084
$738$	4.28676	+	24.9659i	0.157798	+	0.919009i
$739$	−8.72165			−0.320831			−0.160416	−	0.987050i	$-0.551283\pi$
$739$	−8.72165			−0.320831			−0.160416	+	0.987050i	$0.551283\pi$
$740$	7.10720	−	21.8737i	0.261266	−	0.804093i
$741$	−25.6033			−0.940559
$742$	−20.9260	−	15.2036i	−0.768217	−	0.558142i
$743$	−15.4390	−	11.2171i	−0.566400	−	0.411514i	0.267395	−	0.963587i	$-0.413837\pi$
$743$	−15.4390	−	11.2171i	−0.566400	−	0.411514i	−0.833796	+	0.552073i	$0.813837\pi$
$744$	−2.82655	+	8.69924i	−0.103626	+	0.318929i
$745$	−1.23852	−	3.81176i	−0.0453757	−	0.139652i
$746$	−44.3666	+	32.2342i	−1.62438	+	1.18018i
$747$	−21.4062			−0.783210
$748$	17.1608	−	12.4680i	0.627459	−	0.455876i
$749$	−7.65331	+	5.56046i	−0.279646	+	0.203175i
$750$	−23.3644	−	16.9753i	−0.853149	−	0.619849i
$751$	1.83425	−	5.64524i	0.0669327	−	0.205998i	−0.911996	−	0.410198i	$-0.865459\pi$
$751$	1.83425	−	5.64524i	0.0669327	−	0.205998i	0.978929	+	0.204201i	$0.0654595\pi$
$752$	22.0894			0.805518
$753$	29.1680	+	21.1918i	1.06294	+	0.772271i
$754$	−30.1471	−	92.7832i	−1.09789	−	3.37897i
$755$	−7.01438	+	5.09625i	−0.255280	+	0.185471i
$756$	−4.66777	+	14.3659i	−0.169765	+	0.522483i
$757$	−13.7879	−	42.4347i	−0.501129	−	1.54232i	−0.807183	−	0.590302i	$-0.799009\pi$
$757$	−13.7879	−	42.4347i	−0.501129	−	1.54232i	0.306054	−	0.952014i	$-0.400991\pi$
$758$	13.7147	+	42.2094i	0.498139	+	1.53312i
$759$	−0.139707	−	0.429974i	−0.00507105	−	0.0156071i
$760$	−3.44925	−	10.6157i	−0.125117	−	0.385072i
$761$	7.56981	−	23.2975i	0.274405	−	0.844533i	−0.714971	−	0.699154i	$-0.753560\pi$
$761$	7.56981	−	23.2975i	0.274405	−	0.844533i	0.989376	−	0.145379i	$-0.0464400\pi$
$762$	−62.6497	+	45.5177i	−2.26956	+	1.64893i
$763$	3.24778	+	9.99564i	0.117578	+	0.361866i
$764$	85.3176	+	61.9869i	3.08668	+	2.24261i
$765$	2.12761			0.0769238
$766$	−23.8024	+	73.2563i	−0.860017	+	2.64686i
$767$	−12.9559	−	9.41303i	−0.467812	−	0.339885i
$768$	−30.6039	+	22.2351i	−1.10432	+	0.802338i
$769$	19.8406	−	14.4150i	0.715469	−	0.519819i	−0.169464	−	0.985536i	$-0.554204\pi$
$769$	19.8406	−	14.4150i	0.715469	−	0.519819i	0.884933	+	0.465717i	$0.154204\pi$
$770$	2.36992			0.0854058
$771$	1.03448	−	0.751591i	0.0372558	−	0.0270679i
$772$	−19.0807	−	58.7244i	−0.686729	−	2.11354i
$773$	5.29082	−	16.2835i	0.190298	−	0.585676i	−0.809702	−	0.586842i	$-0.800371\pi$
$773$	5.29082	−	16.2835i	0.190298	−	0.585676i	0.999999	+	0.00116580i	$0.000371084\pi$
$774$	−18.8845	−	13.7204i	−0.678790	−	0.493170i
$775$	2.25219	+	1.63631i	0.0809011	+	0.0587781i
$776$	−129.654			−4.65432
$777$	5.87036	−	18.0671i	0.210598	−	0.648154i
$778$	89.7305			3.21699
$779$	13.0935	+	12.7582i	0.469122	+	0.457112i
$780$	23.0764			0.826269
$781$	1.58558	−	4.87990i	0.0567364	−	0.174617i
$782$	−0.854866			−0.0305699
$783$	−22.6110	−	16.4279i	−0.808051	−	0.587084i
$784$	−7.60277	−	5.52373i	−0.271527	−	0.197276i
$785$	1.39831	−	4.30355i	0.0499077	−	0.153600i
$786$	8.94052	+	27.5161i	0.318898	+	0.981466i
$787$	39.8815	−	28.9756i	1.42162	−	1.03287i	0.430122	−	0.902771i	$-0.358470\pi$
$787$	39.8815	−	28.9756i	1.42162	−	1.03287i	0.991501	−	0.130099i	$-0.0415296\pi$
$788$	88.5451			3.15429
$789$	−7.25500	+	5.27107i	−0.258285	+	0.187655i
$790$	−19.6849	+	14.3019i	−0.700359	+	0.508840i
$791$	−3.32842	−	2.41824i	−0.118345	−	0.0859827i
$792$	−5.78678	+	17.8099i	−0.205624	+	0.632846i
$793$	54.2412			1.92616
$794$	−58.0285	−	42.1602i	−2.05936	−	1.49621i
$795$	3.49826	+	10.7665i	0.124070	+	0.381849i
$796$	14.0068	−	10.1766i	0.496459	−	0.360698i
$797$	−8.39613	+	25.8406i	−0.297406	+	0.915322i	0.684997	+	0.728546i	$0.259804\pi$
$797$	−8.39613	+	25.8406i	−0.297406	+	0.915322i	−0.982403	+	0.186775i	$0.940196\pi$
$798$	−4.88806	−	15.0439i	−0.173035	−	0.532548i
$799$	1.89713	+	5.83876i	0.0671156	+	0.206560i
$800$	−14.4556	−	44.4897i	−0.511081	−	1.57295i
$801$	−5.15130	−	15.8541i	−0.182012	−	0.560176i
$802$	7.46702	−	22.9811i	0.263670	−	0.811492i
$803$	11.9586	−	8.68843i	0.422010	−	0.306608i
$804$	29.4772	+	90.7215i	1.03958	+	3.19950i
$805$	−0.0545247	−	0.0396145i	−0.00192174	−	0.00139623i
$806$	−6.49744			−0.228863
$807$	7.26016	−	22.3445i	0.255570	−	0.786563i
$808$	98.0415	+	71.2313i	3.44909	+	2.50591i
$809$	13.2461	−	9.62385i	0.465708	−	0.338357i	−0.330058	−	0.943961i	$-0.607068\pi$
$809$	13.2461	−	9.62385i	0.465708	−	0.338357i	0.795766	+	0.605604i	$0.207068\pi$
$810$	12.7330	−	9.25109i	0.447393	−	0.325050i
$811$	35.5619			1.24875			0.624374	−	0.781126i	$-0.285354\pi$
$811$	35.5619			1.24875			0.624374	+	0.781126i	$0.285354\pi$
$812$	34.4083	−	24.9991i	1.20749	−	0.877296i
$813$	6.59765	+	20.3055i	0.231390	+	0.712144i
$814$	−12.1950	+	37.5322i	−0.427433	+	1.31550i
$815$	−0.458017	−	0.332769i	−0.0160436	−	0.0116564i
$816$	42.2061	+	30.6645i	1.47751	+	1.07347i
$817$	−16.8462			−0.589374
$818$	−17.8109	+	54.8163i	−0.622743	+	1.91661i
$819$	6.40334			0.223751
$820$	−11.8013	−	11.4991i	−0.412118	−	0.401567i
$821$	−34.6945			−1.21085			−0.605423	−	0.795904i	$-0.706996\pi$
$821$	−34.6945			−1.21085			−0.605423	+	0.795904i	$0.706996\pi$
$822$	−3.39655	+	10.4535i	−0.118468	+	0.364608i
$823$	−28.5323			−0.994575			−0.497287	−	0.867586i	$-0.665670\pi$
$823$	−28.5323			−0.994575			−0.497287	+	0.867586i	$0.665670\pi$
$824$	69.1061	+	50.2085i	2.40743	+	1.74910i
$825$	13.7250	+	9.97183i	0.477845	+	0.347175i
$826$	3.05740	−	9.40971i	0.106381	−	0.327406i
$827$	−6.92987	−	21.3280i	−0.240975	−	0.741646i	−0.996272	−	0.0862631i	$-0.972507\pi$
$827$	−6.92987	−	21.3280i	−0.240975	−	0.741646i	0.755297	−	0.655383i	$-0.227493\pi$
$828$	0.739196	−	0.537058i	0.0256888	−	0.0186640i
$829$	−50.2702			−1.74596			−0.872979	−	0.487758i	$-0.837815\pi$
$829$	−50.2702			−1.74596			−0.872979	+	0.487758i	$0.837815\pi$
$830$	15.9640	−	11.5985i	0.554117	−	0.402590i
$831$	−25.4154	+	18.4654i	−0.881650	+	0.640556i
$832$	24.1762	+	17.5650i	0.838158	+	0.608957i
$833$	0.807099	−	2.48399i	0.0279643	−	0.0860653i
$834$	38.2490			1.32445
$835$	1.63424	+	1.18735i	0.0565554	+	0.0410899i
$836$	7.16532	+	22.0526i	0.247818	+	0.762705i
$837$	−1.50591	+	1.09411i	−0.0520519	+	0.0378179i
$838$	18.2280	−	56.1000i	0.629676	−	1.93794i
$839$	8.63804	+	26.5851i	0.298218	+	0.917821i	0.982121	+	0.188248i	$0.0602810\pi$
$839$	8.63804	+	26.5851i	0.298218	+	0.917821i	−0.683903	+	0.729573i	$0.739719\pi$
$840$	2.56782	+	7.90295i	0.0885983	+	0.272678i
$841$	15.3562	+	47.2617i	0.529526	+	1.62971i
$842$	−24.6880	−	75.9819i	−0.850806	−	2.61851i
$843$	−2.61800	+	8.05737i	−0.0901687	+	0.277511i
$844$	−74.5051	+	54.1311i	−2.56457	+	1.86327i
$845$	0.796219	+	2.45051i	0.0273908	+	0.0843001i
$846$	−7.52303	−	5.46580i	−0.258647	−	0.187918i
$847$	8.13055			0.279369
$848$	−28.8170	+	88.6896i	−0.989580	+	3.04561i
$849$	6.16847	+	4.48166i	0.211701	+	0.153810i
$850$	25.9523	−	18.8554i	0.890156	−	0.646736i
$851$	0.907943	−	0.659659i	0.0311239	−	0.0226128i
$852$	30.8674			1.05750
$853$	30.1477	−	21.9036i	1.03224	−	0.749965i	0.0634830	−	0.997983i	$-0.479779\pi$
$853$	30.1477	−	21.9036i	1.03224	−	0.749965i	0.968755	+	0.248018i	$0.0797791\pi$
$854$	10.3555	+	31.8709i	0.354358	+	1.09060i
$855$	−0.718701	+	2.21194i	−0.0245791	+	0.0756466i
$856$	55.7462	+	40.5020i	1.90537	+	1.38433i
$857$	20.8047	+	15.1155i	0.710676	+	0.516337i	0.883392	−	0.468635i	$-0.155254\pi$
$857$	20.8047	+	15.1155i	0.710676	+	0.516337i	−0.172715	+	0.984972i	$0.555254\pi$
$858$	−39.5960			−1.35178
$859$	7.90004	−	24.3138i	0.269546	−	0.829577i	−0.721065	−	0.692867i	$-0.756347\pi$
$859$	7.90004	−	24.3138i	0.269546	−	0.829577i	0.990611	−	0.136710i	$-0.0436528\pi$
$860$	15.1836			0.517758
$861$	−9.74754	−	9.49798i	−0.332195	−	0.323690i
$862$	26.4247			0.900029
$863$	5.28325	−	16.2602i	0.179844	−	0.553503i	−0.819977	−	0.572396i	$-0.806014\pi$
$863$	5.28325	−	16.2602i	0.179844	−	0.553503i	0.999822	+	0.0188927i	$0.00601408\pi$
$864$	31.2786			1.06412
$865$	0.827071	+	0.600902i	0.0281213	+	0.0204313i
$866$	44.6390	+	32.4322i	1.51690	+	1.10209i
$867$	6.68528	−	20.5752i	0.227044	−	0.698769i
$868$	−0.875321	−	2.69396i	−0.0297103	−	0.0914390i
$869$	23.8342	−	17.3165i	0.808518	−	0.587423i
$870$	−26.3793			−0.894342
$871$	−31.9510	+	23.2137i	−1.08262	+	0.786568i
$872$	61.9338	−	44.9975i	2.09734	−	1.52381i
$873$	21.8559	+	15.8792i	0.739709	+	0.537430i
$874$	0.288772	−	0.888748i	0.00976785	−	0.0300624i
$875$	5.21270			0.176221
$876$	71.9408	+	52.2681i	2.43066	+	1.76597i
$877$	−11.9769	−	36.8612i	−0.404432	−	1.24471i	−0.921369	−	0.388689i	$-0.872928\pi$
$877$	−11.9769	−	36.8612i	−0.404432	−	1.24471i	0.516937	−	0.856023i	$-0.327072\pi$
$878$	47.6295	−	34.6049i	1.60742	−	1.16786i
$879$	4.94994	−	15.2344i	0.166957	−	0.513842i
$880$	−2.64030	−	8.12601i	−0.0890045	−	0.273928i
$881$	−10.2972	−	31.6915i	−0.346922	−	1.06771i	−0.960547	−	0.278118i	$-0.910290\pi$
$881$	−10.2972	−	31.6915i	−0.346922	−	1.06771i	0.613626	−	0.789597i	$-0.289710\pi$
$882$	1.22250	+	3.76246i	0.0411636	+	0.126689i
$883$	4.92680	+	15.1631i	0.165800	+	0.510280i	0.999094	−	0.0425495i	$-0.0135480\pi$
$883$	4.92680	+	15.1631i	0.165800	+	0.510280i	−0.833294	+	0.552830i	$0.813548\pi$
$884$	−16.3260	+	50.2461i	−0.549101	+	1.68996i
$885$	−3.50323	+	2.54525i	−0.117760	+	0.0855575i
$886$	29.0710	+	89.4715i	0.976661	+	3.00585i
$887$	−10.1053	−	7.34190i	−0.339302	−	0.246517i	0.405066	−	0.914288i	$-0.367249\pi$
$887$	−10.1053	−	7.34190i	−0.339302	−	0.246517i	−0.744367	+	0.667771i	$0.767249\pi$
$888$	−138.372			−4.64346
$889$	4.31926	−	13.2933i	0.144863	−	0.445843i
$890$	12.4319	+	9.03228i	0.416717	+	0.302763i
$891$	−15.4169	+	11.2010i	−0.516486	+	0.375249i
$892$	−52.4075	+	38.0763i	−1.75473	+	1.27489i
$893$	−6.71103			−0.224576
$894$	−33.4699	+	24.3173i	−1.11940	+	0.813293i
$895$	1.84951	+	5.69220i	0.0618222	+	0.190269i
$896$	0.430542	−	1.32507i	0.0143834	−	0.0442675i
$897$	0.910986	+	0.661870i	0.0304169	+	0.0220992i
$898$	−82.0489	−	59.6120i	−2.73801	−	1.98928i
$899$	5.24107			0.174800
$900$	−10.5951	+	32.6083i	−0.353170	+	1.08694i
$901$	−25.9177			−0.863444
$902$	20.2493	+	19.7309i	0.674229	+	0.656967i
$903$	12.5413			0.417348
$904$	−9.26038	+	28.5005i	−0.307996	+	0.947913i
$905$	0.221374			0.00735871
$906$	72.4047	+	52.6051i	2.40549	+	1.74769i
$907$	20.6487	+	15.0021i	0.685628	+	0.498138i	0.875220	−	0.483725i	$-0.160716\pi$
$907$	20.6487	+	15.0021i	0.685628	+	0.498138i	−0.189592	+	0.981863i	$0.560716\pi$
$908$	28.8498	−	88.7904i	0.957413	−	2.94661i
$909$	−7.80294	−	24.0150i	−0.258807	−	0.796527i
$910$	−4.77538	+	3.46952i	−0.158302	+	0.115013i
$911$	−53.9404			−1.78713			−0.893563	−	0.448937i	$-0.851803\pi$
$911$	−53.9404			−1.78713			−0.893563	+	0.448937i	$0.851803\pi$
$912$	−46.1371	+	33.5205i	−1.52775	+	1.10998i
$913$	−19.3289	+	14.0432i	−0.639692	+	0.464763i
$914$	59.4876	+	43.2203i	1.96768	+	1.42960i
$915$	4.53223	−	13.9488i	0.149831	−	0.461132i
$916$	94.2148			3.11294
$917$	−4.22477	−	3.06947i	−0.139514	−	0.101363i
$918$	6.62818	+	20.3994i	0.218763	+	0.673282i
$919$	−25.9099	+	18.8247i	−0.854690	+	0.620969i	−0.926435	−	0.376454i	$-0.877143\pi$
$919$	−25.9099	+	18.8247i	−0.854690	+	0.620969i	0.0717449	+	0.997423i	$0.477143\pi$
$920$	−0.151699	+	0.466882i	−0.00500138	+	0.0153927i
$921$	5.06631	+	15.5925i	0.166941	+	0.513790i
$922$	10.5313	+	32.4120i	0.346830	+	1.06743i
$923$	3.94916	+	12.1543i	0.129988	+	0.400063i
$924$	−5.33428	−	16.4172i	−0.175485	−	0.540087i
$925$	−13.0138	+	40.0523i	−0.427890	+	1.31691i
$926$	41.0264	−	29.8074i	1.34821	−	0.979532i
$927$	−5.50003	−	16.9273i	−0.180645	−	0.555967i
$928$	−71.2497	−	51.7659i	−2.33889	−	1.69930i
$929$	14.6263			0.479874			0.239937	−	0.970788i	$-0.422873\pi$
$929$	14.6263			0.479874			0.239937	+	0.970788i	$0.422873\pi$
$930$	−0.542906	+	1.67089i	−0.0178026	+	0.0547908i
$931$	2.30981	+	1.67818i	0.0757010	+	0.0550000i
$932$	−5.18373	+	3.76620i	−0.169799	+	0.123366i
$933$	−33.9567	+	24.6710i	−1.11169	+	0.807693i
$934$	73.8085			2.41509
$935$	1.92114	−	1.39579i	0.0628280	−	0.0456472i
$936$	−14.4130	−	44.3587i	−0.471104	−	1.44991i
$937$	14.7729	−	45.4662i	0.482608	−	1.48532i	−0.352807	−	0.935696i	$-0.614773\pi$
$937$	14.7729	−	45.4662i	0.482608	−	1.48532i	0.835415	−	0.549619i	$-0.185227\pi$
$938$	−19.7398	−	14.3418i	−0.644528	−	0.468277i
$939$	20.0201	+	14.5455i	0.653332	+	0.474674i
$940$	6.04871			0.197287
$941$	6.06648	−	18.6707i	0.197762	−	0.608647i	−0.802172	−	0.597093i	$-0.796322\pi$
$941$	6.06648	−	18.6707i	0.197762	−	0.608647i	0.999933	−	0.0115540i	$-0.00367783\pi$
$942$	−46.7087			−1.52185
$943$	−0.136063	−	0.792429i	−0.00443083	−	0.0258050i
$944$	−35.6704			−1.16097
$945$	−0.522555	+	1.60826i	−0.0169987	+	0.0523167i
$946$	−26.0530			−0.847057
$947$	16.0451	+	11.6574i	0.521396	+	0.378816i	0.817129	−	0.576454i	$-0.195564\pi$
$947$	16.0451	+	11.6574i	0.521396	+	0.378816i	−0.295734	+	0.955270i	$0.595564\pi$
$948$	143.382	+	104.173i	4.65683	+	3.38339i
$949$	−11.3769	+	35.0144i	−0.369309	+	1.13662i
$950$	10.8361	+	33.3502i	0.351571	+	1.08202i
$951$	13.3784	−	9.71997i	0.433824	−	0.315191i
$952$	−19.0244			−0.616583
$953$	29.5128	−	21.4423i	0.956015	−	0.694585i	0.00379281	−	0.999993i	$-0.498793\pi$
$953$	29.5128	−	21.4423i	0.956015	−	0.694585i	0.952222	+	0.305408i	$0.0987927\pi$
$954$	31.7596	−	23.0747i	1.02826	−	0.747071i
$955$	9.55128	+	6.93941i	0.309072	+	0.224554i
$956$	26.9517	−	82.9487i	0.871679	−	2.68275i
$957$	31.9396			1.03246
$958$	−80.2874	−	58.3322i	−2.59397	−	1.88463i
$959$	−0.613060	−	1.88681i	−0.0197968	−	0.0609281i
$960$	6.53714	−	4.74951i	0.210985	−	0.153290i
$961$	−9.47166	+	29.1508i	−0.305537	+	0.940348i
$962$	−30.3737	−	93.4807i	−0.979288	−	3.01394i
$963$	−4.43674	−	13.6549i	−0.142972	−	0.440022i
$964$	−15.8299	−	48.7195i	−0.509848	−	1.56915i
$965$	−2.13608	−	6.57417i	−0.0687628	−	0.211630i
$966$	−0.214979	+	0.661636i	−0.00691682	+	0.0212878i
$967$	−26.0041	+	18.8931i	−0.836235	+	0.607560i	−0.921316	−	0.388814i	$-0.872885\pi$
$967$	−26.0041	+	18.8931i	−0.836235	+	0.607560i	0.0850813	+	0.996374i	$0.472885\pi$
$968$	−18.3007	−	56.3238i	−0.588207	−	1.81032i
$969$	−12.8227	−	9.31625i	−0.411925	−	0.299281i
$970$	−24.9032			−0.799592
$971$	−6.73766	+	20.7364i	−0.216222	+	0.665463i	0.782843	+	0.622220i	$0.213769\pi$
$971$	−6.73766	+	20.7364i	−0.216222	+	0.665463i	−0.999065	+	0.0432430i	$0.986231\pi$
$972$	−56.0843	−	40.7476i	−1.79890	−	1.30698i
$973$	−5.58525	+	4.05792i	−0.179055	+	0.130091i
$974$	−17.7641	+	12.9064i	−0.569200	+	0.413548i
$975$	−42.2546			−1.35323
$976$	97.7427	−	71.0142i	3.12867	−	2.27311i
$977$	3.67185	+	11.3008i	0.117473	+	0.361544i	0.992455	−	0.122611i	$-0.0391269\pi$
$977$	3.67185	+	11.3008i	0.117473	+	0.361544i	−0.874982	+	0.484156i	$0.839127\pi$
$978$	−1.80586	+	5.55786i	−0.0577450	+	0.177721i
$979$	−15.0523	−	10.9361i	−0.481072	−	0.349520i
$980$	−2.08185	−	1.51256i	−0.0665024	−	0.0483168i
$981$	−15.9512			−0.509283
$982$	21.0845	−	64.8915i	0.672834	−	2.07077i
$983$	39.7104			1.26656			0.633282	−	0.773921i	$-0.281707\pi$
$983$	39.7104			1.26656			0.633282	+	0.773921i	$0.281707\pi$
$984$	−43.8563	+	88.9040i	−1.39809	+	2.83416i
$985$	9.91259			0.315841
$986$	18.6626	−	57.4377i	0.594339	−	1.82919i
$987$	4.99608			0.159027
$988$	−46.7228	−	33.9461i	−1.48645	−	1.07997i
$989$	0.599403	+	0.435491i	0.0190599	+	0.0138478i
$990$	−1.11149	+	3.42081i	−0.0353254	+	0.108720i
$991$	−17.6066	−	54.1875i	−0.559292	−	1.72132i	−0.684332	−	0.729171i	$-0.739906\pi$
$991$	−17.6066	−	54.1875i	−0.559292	−	1.72132i	0.125040	−	0.992152i	$-0.460094\pi$
$992$	−4.74529	+	3.44765i	−0.150663	+	0.109463i
$993$	−24.0136			−0.762049
$994$	−6.38762	+	4.64088i	−0.202603	+	0.147200i
$995$	1.56806	−	1.13926i	0.0497108	−	0.0361170i
$996$	−116.279	−	84.4816i	−3.68444	−	2.67690i
$997$	11.0122	−	33.8922i	0.348761	−	1.07338i	−0.610778	−	0.791802i	$-0.709143\pi$
$997$	11.0122	−	33.8922i	0.348761	−	1.07338i	0.959539	−	0.281575i	$-0.0908567\pi$
$998$	18.6833			0.591408
$999$	−22.7810	−	16.5514i	−0.720759	−	0.523662i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.h.d.57.10	✓	40
41.18	even	5	inner	287.2.h.d.141.10	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.h.d.57.10	✓	40	1.1	even	1	trivial
287.2.h.d.141.10	yes	40	41.18	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.805486 - 2.47903i) q^{2} -2.12549 q^{3} +(-3.87876 - 2.81808i) q^{4} +(-0.434226 - 0.315483i) q^{5} +(-1.71205 + 5.26916i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-5.89282 + 4.28139i) q^{8} +1.51771 q^{9} +O(q^{10})\)	\(q+(0.805486 - 2.47903i) q^{2} -2.12549 q^{3} +(-3.87876 - 2.81808i) q^{4} +(-0.434226 - 0.315483i) q^{5} +(-1.71205 + 5.26916i) q^{6} +(-0.309017 - 0.951057i) q^{7} +(-5.89282 + 4.28139i) q^{8} +1.51771 q^{9} +(-1.13186 + 0.822342i) q^{10} +(1.37043 - 0.995676i) q^{11} +(8.24427 + 5.98981i) q^{12} +(-1.30376 + 4.01258i) q^{13} -2.60661 q^{14} +(0.922943 + 0.670557i) q^{15} +(2.90400 + 8.93759i) q^{16} +(-2.11301 + 1.53519i) q^{17} +(1.22250 - 3.76246i) q^{18} +(-0.882270 - 2.71535i) q^{19} +(0.795198 + 2.44737i) q^{20} +(0.656813 + 2.02146i) q^{21} +(-1.36445 - 4.19934i) q^{22} +(-0.0388025 + 0.119422i) q^{23} +(12.5251 - 9.10005i) q^{24} +(-1.45606 - 4.48130i) q^{25} +(8.89714 + 6.46415i) q^{26} +3.15059 q^{27} +(-1.48155 + 4.55975i) q^{28} +(-7.17675 - 5.21422i) q^{29} +(2.40575 - 1.74788i) q^{30} +(-0.477977 + 0.347271i) q^{31} +9.92785 q^{32} +(-2.91284 + 2.11630i) q^{33} +(2.10379 + 6.47480i) q^{34} +(-0.165859 + 0.510463i) q^{35} +(-5.88684 - 4.27704i) q^{36} +(-7.23071 - 5.25342i) q^{37} -7.44209 q^{38} +(2.77114 - 8.52869i) q^{39} +3.90952 q^{40} +(-5.66705 + 2.98069i) q^{41} +5.54032 q^{42} +(1.82333 - 5.61164i) q^{43} -8.12146 q^{44} +(-0.659029 - 0.478813i) q^{45} +(0.264796 + 0.192385i) q^{46} +(0.726361 - 2.23551i) q^{47} +(-6.17242 - 18.9968i) q^{48} +(-0.809017 + 0.587785i) q^{49} -12.2821 q^{50} +(4.49119 - 3.26304i) q^{51} +(16.3648 - 11.8897i) q^{52} +(8.02805 + 5.83272i) q^{53} +(2.53776 - 7.81041i) q^{54} -0.909195 q^{55} +(5.89282 + 4.28139i) q^{56} +(1.87526 + 5.77144i) q^{57} +(-18.7070 + 13.5914i) q^{58} +(-1.17294 + 3.60994i) q^{59} +(-1.69019 - 5.20186i) q^{60} +(-3.97278 - 12.2270i) q^{61} +(0.475891 + 1.46464i) q^{62} +(-0.468999 - 1.44343i) q^{63} +(2.18875 - 6.73627i) q^{64} +(1.83203 - 1.33105i) q^{65} +(2.90012 + 8.92567i) q^{66} +(7.57299 + 5.50210i) q^{67} +12.5222 q^{68} +(0.0824744 - 0.253830i) q^{69} +(1.13186 + 0.822342i) q^{70} +(2.45055 - 1.78043i) q^{71} +(-8.94361 + 6.49791i) q^{72} +8.72617 q^{73} +(-18.8476 + 13.6936i) q^{74} +(3.09485 + 9.52496i) q^{75} +(-4.22996 + 13.0185i) q^{76} +(-1.37043 - 0.995676i) q^{77} +(-18.9108 - 13.7395i) q^{78} +17.3917 q^{79} +(1.55867 - 4.79709i) q^{80} -11.2497 q^{81} +(2.82449 + 16.4497i) q^{82} -14.1042 q^{83} +(3.14903 - 9.69172i) q^{84} +1.40185 q^{85} +(-12.4428 - 9.04020i) q^{86} +(15.2541 + 11.0828i) q^{87} +(-3.81283 + 11.7347i) q^{88} +(-3.39412 - 10.4460i) q^{89} +(-1.71783 + 1.24808i) q^{90} +4.21907 q^{91} +(0.487046 - 0.353860i) q^{92} +(1.01594 - 0.738121i) q^{93} +(-4.95682 - 3.60134i) q^{94} +(-0.473543 + 1.45741i) q^{95} -21.1015 q^{96} +(14.4005 + 10.4626i) q^{97} +(0.805486 + 2.47903i) q^{98} +(2.07992 - 1.51115i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9}+O(q^{10}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9	\( 40 q - 2 q^{2} - 10 q^{3} - 14 q^{4} - q^{5} + 9 q^{6} + 10 q^{7} + 3 q^{8} + 22 q^{9} + 10 q^{10} + 5 q^{11} - 17 q^{12} + 3 q^{13} - 8 q^{14} + 23 q^{15} - 18 q^{16} + 11 q^{17} - 38 q^{18} - 2 q^{19} + 31 q^{20} + 4 q^{22} + 2 q^{23} + 10 q^{24} - 21 q^{25} - 7 q^{26} - 52 q^{27} + 14 q^{28} - 11 q^{29} - 18 q^{30} - 3 q^{31} + 44 q^{32} - 51 q^{33} + 29 q^{34} - 9 q^{35} + 35 q^{36} + 11 q^{37} + 52 q^{38} - 5 q^{39} - 32 q^{40} + 29 q^{41} + 6 q^{42} - 32 q^{43} - 92 q^{44} - 56 q^{45} + 26 q^{46} + 29 q^{47} + 11 q^{48} - 10 q^{49} - 24 q^{50} - 4 q^{51} + 3 q^{52} + 30 q^{53} + 58 q^{54} - 100 q^{55} - 3 q^{56} - 49 q^{57} + 25 q^{58} + 5 q^{59} - 91 q^{60} + 22 q^{61} - 34 q^{62} + 13 q^{63} - 9 q^{64} + 21 q^{65} + 29 q^{66} + 9 q^{67} - 20 q^{68} + 30 q^{69} - 10 q^{70} + 34 q^{71} - 37 q^{72} - 20 q^{73} - 58 q^{74} + 41 q^{75} - 37 q^{76} - 5 q^{77} + 63 q^{78} + 66 q^{79} + 22 q^{80} + 96 q^{81} + 76 q^{82} - 22 q^{83} - 38 q^{84} - 26 q^{85} + 3 q^{86} + 49 q^{87} - 19 q^{89} - q^{90} + 22 q^{91} - 2 q^{92} - 39 q^{93} + 66 q^{94} + 71 q^{95} - 302 q^{96} + 47 q^{97} - 2 q^{98} + 28 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - 10 * q^3 - 14 * q^4 - q^5 + 9 * q^6 + 10 * q^7 + 3 * q^8 + 22 * q^9 + 10 * q^10 + 5 * q^11 - 17 * q^12 + 3 * q^13 - 8 * q^14 + 23 * q^15 - 18 * q^16 + 11 * q^17 - 38 * q^18 - 2 * q^19 + 31 * q^20 + 4 * q^22 + 2 * q^23 + 10 * q^24 - 21 * q^25 - 7 * q^26 - 52 * q^27 + 14 * q^28 - 11 * q^29 - 18 * q^30 - 3 * q^31 + 44 * q^32 - 51 * q^33 + 29 * q^34 - 9 * q^35 + 35 * q^36 + 11 * q^37 + 52 * q^38 - 5 * q^39 - 32 * q^40 + 29 * q^41 + 6 * q^42 - 32 * q^43 - 92 * q^44 - 56 * q^45 + 26 * q^46 + 29 * q^47 + 11 * q^48 - 10 * q^49 - 24 * q^50 - 4 * q^51 + 3 * q^52 + 30 * q^53 + 58 * q^54 - 100 * q^55 - 3 * q^56 - 49 * q^57 + 25 * q^58 + 5 * q^59 - 91 * q^60 + 22 * q^61 - 34 * q^62 + 13 * q^63 - 9 * q^64 + 21 * q^65 + 29 * q^66 + 9 * q^67 - 20 * q^68 + 30 * q^69 - 10 * q^70 + 34 * q^71 - 37 * q^72 - 20 * q^73 - 58 * q^74 + 41 * q^75 - 37 * q^76 - 5 * q^77 + 63 * q^78 + 66 * q^79 + 22 * q^80 + 96 * q^81 + 76 * q^82 - 22 * q^83 - 38 * q^84 - 26 * q^85 + 3 * q^86 + 49 * q^87 - 19 * q^89 - q^90 + 22 * q^91 - 2 * q^92 - 39 * q^93 + 66 * q^94 + 71 * q^95 - 302 * q^96 + 47 * q^97 - 2 * q^98 + 28 * q^99

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