LMFDB - Embedded newform 603.2.e.a.202.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [603,2,Mod(202,603)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(603, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("603.202");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 603 = 3^{2} \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	603.e (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.81497924188$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$33$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			202.18
Character	$\chi$	$=$	603.202
Dual form			603.2.e.a.403.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0178129 + 0.0308529i) q^{2} +(1.38550 + 1.03942i) q^{3} +(0.999365 - 1.73095i) q^{4} +(-1.92812 + 3.33960i) q^{5} +(-0.00738942 + 0.0612618i) q^{6} +(-0.0309078 - 0.0535339i) q^{7} +0.142458 q^{8} +(0.839205 + 2.88023i) q^{9} +O(q^{10})$	\(q+(0.0178129 + 0.0308529i) q^{2} +(1.38550 + 1.03942i) q^{3} +(0.999365 - 1.73095i) q^{4} +(-1.92812 + 3.33960i) q^{5} +(-0.00738942 + 0.0612618i) q^{6} +(-0.0309078 - 0.0535339i) q^{7} +0.142458 q^{8} +(0.839205 + 2.88023i) q^{9} -0.137382 q^{10} +(-0.0570287 - 0.0987766i) q^{11} +(3.18381 - 1.35947i) q^{12} +(-2.50115 + 4.33211i) q^{13} +(0.00110112 - 0.00190719i) q^{14} +(-6.14267 + 2.62288i) q^{15} +(-1.99619 - 3.45751i) q^{16} +7.16136 q^{17} +(-0.0739148 + 0.0771973i) q^{18} -0.245275 q^{19} +(3.85380 + 6.67497i) q^{20} +(0.0128216 - 0.106297i) q^{21} +(0.00203170 - 0.00351900i) q^{22} +(-3.68230 + 6.37793i) q^{23} +(0.197376 + 0.148074i) q^{24} +(-4.93531 - 8.54820i) q^{25} -0.178211 q^{26} +(-1.83106 + 4.86284i) q^{27} -0.123553 q^{28} +(0.906738 + 1.57052i) q^{29} +(-0.190342 - 0.142798i) q^{30} +(0.798235 - 1.38258i) q^{31} +(0.213574 - 0.369922i) q^{32} +(0.0236574 - 0.196132i) q^{33} +(0.127565 + 0.220949i) q^{34} +0.238376 q^{35} +(5.82421 + 1.42578i) q^{36} +6.68828 q^{37} +(-0.00436907 - 0.00756746i) q^{38} +(-7.96822 + 3.40238i) q^{39} +(-0.274677 + 0.475754i) q^{40} +(1.46503 - 2.53750i) q^{41} +(0.00350797 - 0.00149788i) q^{42} +(-2.39133 - 4.14190i) q^{43} -0.227970 q^{44} +(-11.2369 - 2.75083i) q^{45} -0.262370 q^{46} +(4.40088 + 7.62255i) q^{47} +(0.828089 - 6.86525i) q^{48} +(3.49809 - 6.05887i) q^{49} +(0.175825 - 0.304537i) q^{50} +(9.92204 + 7.44367i) q^{51} +(4.99912 + 8.65872i) q^{52} -7.79660 q^{53} +(-0.182649 + 0.0301280i) q^{54} +0.439833 q^{55} +(-0.00440307 - 0.00762635i) q^{56} +(-0.339828 - 0.254944i) q^{57} +(-0.0323033 + 0.0559510i) q^{58} +(7.38517 - 12.7915i) q^{59} +(-1.59869 + 13.2539i) q^{60} +(-4.35106 - 7.53626i) q^{61} +0.0568757 q^{62} +(0.128252 - 0.133948i) q^{63} -7.96956 q^{64} +(-9.64503 - 16.7057i) q^{65} +(0.00647264 - 0.00276378i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(7.15682 - 12.3960i) q^{68} +(-11.7312 + 5.00914i) q^{69} +(0.00424618 + 0.00735460i) q^{70} +7.58206 q^{71} +(0.119552 + 0.410313i) q^{72} +3.61166 q^{73} +(0.119138 + 0.206353i) q^{74} +(2.04733 - 16.9734i) q^{75} +(-0.245120 + 0.424560i) q^{76} +(-0.00352526 + 0.00610593i) q^{77} +(-0.246911 - 0.185236i) q^{78} +(5.66757 + 9.81652i) q^{79} +15.3956 q^{80} +(-7.59147 + 4.83421i) q^{81} +0.104386 q^{82} +(2.15422 + 3.73122i) q^{83} +(-0.171182 - 0.128423i) q^{84} +(-13.8080 + 23.9161i) q^{85} +(0.0851931 - 0.147559i) q^{86} +(-0.376146 + 3.11843i) q^{87} +(-0.00812421 - 0.0140715i) q^{88} +5.47110 q^{89} +(-0.115292 - 0.395692i) q^{90} +0.309220 q^{91} +(7.35993 + 12.7478i) q^{92} +(2.54304 - 1.08586i) q^{93} +(-0.156785 + 0.271560i) q^{94} +(0.472921 - 0.819122i) q^{95} +(0.680412 - 0.290532i) q^{96} +(-0.160195 - 0.277466i) q^{97} +0.249245 q^{98} +(0.236641 - 0.247150i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) $ 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/603\mathbb{Z}\right)^\times$.

$n$	$136$	$470$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.0178129	+	0.0308529i	0.0125957	+	0.0218163i	0.872255	−	0.489052i	$-0.162657\pi$
$2$	0.0178129	+	0.0308529i	0.0125957	+	0.0218163i	−0.859659	+	0.510868i	$0.829324\pi$
$3$	1.38550	+	1.03942i	0.799917	+	0.600110i
$3$	1.38550	+	1.03942i	0.799917	+	0.600110i
$4$	0.999365	−	1.73095i	0.499683	−	0.865476i
$5$	−1.92812	+	3.33960i	−0.862282	+	1.49352i	0.00743831	+	0.999972i	$0.497632\pi$
$5$	−1.92812	+	3.33960i	−0.862282	+	1.49352i	−0.869721	+	0.493544i	$0.835701\pi$
$6$	−0.00738942	+	0.0612618i	−0.00301672	+	0.0250100i
$7$	−0.0309078	−	0.0535339i	−0.0116821	−	0.0202339i	0.860125	−	0.510083i	$-0.170385\pi$
$7$	−0.0309078	−	0.0535339i	−0.0116821	−	0.0202339i	−0.871807	+	0.489849i	$0.837052\pi$
$8$	0.142458			0.0503666
$9$	0.839205	+	2.88023i	0.279735	+	0.960077i
$10$	−0.137382			−0.0434440
$11$	−0.0570287	−	0.0987766i	−0.0171948	−	0.0297823i	0.857300	−	0.514817i	$-0.172140\pi$
$11$	−0.0570287	−	0.0987766i	−0.0171948	−	0.0297823i	−0.874495	+	0.485035i	$0.838807\pi$
$12$	3.18381	−	1.35947i	0.919086	−	0.392444i
$13$	−2.50115	+	4.33211i	−0.693693	+	1.20151i	0.276926	+	0.960891i	$0.410684\pi$
$13$	−2.50115	+	4.33211i	−0.693693	+	1.20151i	−0.970619	+	0.240620i	$0.922649\pi$
$14$	0.00110112	−	0.00190719i	0.000294286	−	0.000509719i
$15$	−6.14267	+	2.62288i	−1.58603	+	0.677225i
$16$	−1.99619	−	3.45751i	−0.499048	−	0.864377i
$17$	7.16136			1.73689			0.868443	−	0.495790i	$-0.165121\pi$
$17$	7.16136			1.73689			0.868443	+	0.495790i	$0.165121\pi$
$18$	−0.0739148	+	0.0771973i	−0.0174219	+	0.0181956i
$19$	−0.245275			−0.0562700			−0.0281350	−	0.999604i	$-0.508957\pi$
$19$	−0.245275			−0.0562700			−0.0281350	+	0.999604i	$0.508957\pi$
$20$	3.85380	+	6.67497i	0.861735	+	1.49257i
$21$	0.0128216	−	0.106297i	0.00279791	−	0.0231960i
$22$	0.00203170	−	0.00351900i	0.000433159	−	0.000750254i
$23$	−3.68230	+	6.37793i	−0.767812	+	1.32989i	0.170934	+	0.985282i	$0.445321\pi$
$23$	−3.68230	+	6.37793i	−0.767812	+	1.32989i	−0.938747	+	0.344608i	$0.888012\pi$
$24$	0.197376	+	0.148074i	0.0402891	+	0.0302255i
$25$	−4.93531	−	8.54820i	−0.987061	−	1.70964i
$26$	−0.178211			−0.0349501
$27$	−1.83106	+	4.86284i	−0.352388	+	0.935854i
$28$	−0.123553			−0.0233493
$29$	0.906738	+	1.57052i	0.168377	+	0.291637i	0.937849	−	0.347043i	$-0.112814\pi$
$29$	0.906738	+	1.57052i	0.168377	+	0.291637i	−0.769472	+	0.638680i	$0.779481\pi$
$30$	−0.190342	−	0.142798i	−0.0347516	−	0.0260712i
$31$	0.798235	−	1.38258i	0.143367	−	0.248319i	−0.785395	−	0.618994i	$-0.787540\pi$
$31$	0.798235	−	1.38258i	0.143367	−	0.248319i	0.928763	+	0.370675i	$0.120874\pi$
$32$	0.213574	−	0.369922i	0.0377550	−	0.0653936i
$33$	0.0236574	−	0.196132i	0.00411823	−	0.0341421i
$34$	0.127565	+	0.220949i	0.0218772	+	0.0378924i
$35$	0.238376			0.0402929
$36$	5.82421	+	1.42578i	0.970702	+	0.237630i
$37$	6.68828			1.09955			0.549773	−	0.835314i	$-0.314714\pi$
$37$	6.68828			1.09955			0.549773	+	0.835314i	$0.314714\pi$
$38$	−0.00436907	−	0.00756746i	−0.000708757	−	0.00122760i
$39$	−7.96822	+	3.40238i	−1.27594	+	0.544817i
$40$	−0.274677	+	0.475754i	−0.0434302	+	0.0752234i
$41$	1.46503	−	2.53750i	0.228799	−	0.396291i	−0.728654	−	0.684882i	$-0.759854\pi$
$41$	1.46503	−	2.53750i	0.228799	−	0.396291i	0.957452	+	0.288591i	$0.0931869\pi$
$42$	0.00350797	−	0.00149788i	0.000541292	−	0.000231128i
$43$	−2.39133	−	4.14190i	−0.364674	−	0.631634i	0.624050	−	0.781385i	$-0.285486\pi$
$43$	−2.39133	−	4.14190i	−0.364674	−	0.631634i	−0.988724	+	0.149751i	$0.952153\pi$
$44$	−0.227970			−0.0343678
$45$	−11.2369	−	2.75083i	−1.67510	−	0.410069i
$46$	−0.262370			−0.0386844
$47$	4.40088	+	7.62255i	0.641935	+	1.11186i	0.985000	+	0.172552i	$0.0552013\pi$
$47$	4.40088	+	7.62255i	0.641935	+	1.11186i	−0.343066	+	0.939311i	$0.611465\pi$
$48$	0.828089	−	6.86525i	0.119524	−	0.990914i
$49$	3.49809	−	6.05887i	0.499727	−	0.865553i
$50$	0.175825	−	0.304537i	0.0248654	−	0.0430681i
$51$	9.92204	+	7.44367i	1.38936	+	1.04232i
$52$	4.99912	+	8.65872i	0.693253	+	1.20075i
$53$	−7.79660			−1.07094			−0.535472	−	0.844553i	$-0.679866\pi$
$53$	−7.79660			−1.07094			−0.535472	+	0.844553i	$0.679866\pi$
$54$	−0.182649	+	0.0301280i	−0.0248554	+	0.00409990i
$55$	0.439833			0.0593071
$56$	−0.00440307	−	0.00762635i	−0.000588386	−	0.00101911i
$57$	−0.339828	−	0.254944i	−0.0450113	−	0.0337682i
$58$	−0.0323033	+	0.0559510i	−0.00424164	+	0.00734673i
$59$	7.38517	−	12.7915i	0.961467	−	1.66531i	0.242646	−	0.970115i	$-0.421985\pi$
$59$	7.38517	−	12.7915i	0.961467	−	1.66531i	0.718821	−	0.695195i	$-0.244682\pi$
$60$	−1.59869	+	13.2539i	−0.206390	+	1.71107i
$61$	−4.35106	−	7.53626i	−0.557096	−	0.964919i	−0.997737	−	0.0672356i	$-0.978582\pi$
$61$	−4.35106	−	7.53626i	−0.557096	−	0.964919i	0.440641	−	0.897683i	$-0.354751\pi$
$62$	0.0568757			0.00722322
$63$	0.128252	−	0.133948i	0.0161582	−	0.0168758i
$64$	−7.96956			−0.996194
$65$	−9.64503	−	16.7057i	−1.19632	−	2.07208i
$66$	0.00647264	−	0.00276378i	0.000796727	−	0.000340198i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$67$	−0.500000	+	0.866025i	−0.0610847	+	0.105802i
$68$	7.15682	−	12.3960i	0.867891	−	1.50323i
$69$	−11.7312	+	5.00914i	−1.41227	+	0.603030i
$70$	0.00424618	+	0.00735460i	0.000507515	+	0.000879043i
$71$	7.58206			0.899825			0.449913	−	0.893073i	$-0.351455\pi$
$71$	7.58206			0.899825			0.449913	+	0.893073i	$0.351455\pi$
$72$	0.119552	+	0.410313i	0.0140893	+	0.0483558i
$73$	3.61166			0.422713			0.211356	−	0.977409i	$-0.432212\pi$
$73$	3.61166			0.422713			0.211356	+	0.977409i	$0.432212\pi$
$74$	0.119138	+	0.206353i	0.0138495	+	0.0239880i
$75$	2.04733	−	16.9734i	0.236406	−	1.95992i
$76$	−0.245120	+	0.424560i	−0.0281171	+	0.0487003i
$77$	−0.00352526	+	0.00610593i	−0.000401741	+	0.000695836i
$78$	−0.246911	−	0.185236i	−0.0279571	−	0.0209739i
$79$	5.66757	+	9.81652i	0.637652	+	1.10445i	0.985947	+	0.167060i	$0.0534274\pi$
$79$	5.66757	+	9.81652i	0.637652	+	1.10445i	−0.348295	+	0.937385i	$0.613239\pi$
$80$	15.3956			1.72128
$81$	−7.59147	+	4.83421i	−0.843497	+	0.537134i
$82$	0.104386			0.0115275
$83$	2.15422	+	3.73122i	0.236456	+	0.409554i	0.959695	−	0.281044i	$-0.0906806\pi$
$83$	2.15422	+	3.73122i	0.236456	+	0.409554i	−0.723239	+	0.690598i	$0.757347\pi$
$84$	−0.171182	−	0.128423i	−0.0186775	−	0.0140121i
$85$	−13.8080	+	23.9161i	−1.49769	+	2.59407i
$86$	0.0851931	−	0.147559i	0.00918661	−	0.0159117i
$87$	−0.376146	+	3.11843i	−0.0403271	+	0.334331i
$88$	−0.00812421	−	0.0140715i	−0.000866044	−	0.00150003i
$89$	5.47110			0.579935			0.289968	−	0.957036i	$-0.406355\pi$
$89$	5.47110			0.579935			0.289968	+	0.957036i	$0.406355\pi$
$90$	−0.115292	−	0.395692i	−0.0121528	−	0.0417096i
$91$	0.309220			0.0324150
$92$	7.35993	+	12.7478i	0.767325	+	1.32905i
$93$	2.54304	−	1.08586i	0.263701	−	0.112599i
$94$	−0.156785	+	0.271560i	−0.0161712	+	0.0280093i
$95$	0.472921	−	0.819122i	0.0485206	−	0.0840402i
$96$	0.680412	−	0.290532i	0.0694442	−	0.0296523i
$97$	−0.160195	−	0.277466i	−0.0162654	−	0.0281724i	0.857778	−	0.514020i	$-0.171844\pi$
$97$	−0.160195	−	0.277466i	−0.0162654	−	0.0281724i	−0.874044	+	0.485848i	$0.838511\pi$
$98$	0.249245			0.0251775
$99$	0.236641	−	0.247150i	0.0237833	−	0.0248395i
$100$	−19.7287			−1.97287
$101$	−7.06617	−	12.2390i	−0.703110	−	1.21782i	−0.967369	−	0.253371i	$-0.918461\pi$
$101$	−7.06617	−	12.2390i	−0.703110	−	1.21782i	0.264259	−	0.964452i	$-0.414873\pi$
$102$	−0.0529183	+	0.438718i	−0.00523969	+	0.0434395i
$103$	5.09719	−	8.82859i	0.502241	−	0.869906i	−0.497756	−	0.867317i	$-0.665842\pi$
$103$	5.09719	−	8.82859i	0.502241	−	0.869906i	0.999997	−	0.00258924i	$-0.000824183\pi$
$104$	−0.356309	+	0.617145i	−0.0349390	+	0.0605161i
$105$	0.330269	+	0.247773i	0.0322310	+	0.0241802i
$106$	−0.138880	−	0.240548i	−0.0134892	−	0.0233641i
$107$	−16.1339			−1.55972			−0.779860	−	0.625954i	$-0.784710\pi$
$107$	−16.1339			−1.55972			−0.779860	+	0.625954i	$0.784710\pi$
$108$	6.58744	+	8.02923i	0.633877	+	0.772613i
$109$	9.71193			0.930234			0.465117	−	0.885249i	$-0.346012\pi$
$109$	9.71193			0.930234			0.465117	+	0.885249i	$0.346012\pi$
$110$	0.00783472	+	0.0135701i	0.000747011	+	0.00129386i
$111$	9.26659	+	6.95194i	0.879546	+	0.659849i
$112$	−0.123396	+	0.213728i	−0.0116598	+	0.0201954i
$113$	−4.03460	+	6.98813i	−0.379543	+	0.657388i	−0.990996	−	0.133893i	$-0.957252\pi$
$113$	−4.03460	+	6.98813i	−0.379543	+	0.657388i	0.611453	+	0.791281i	$0.290586\pi$
$114$	0.00181244	−	0.0150260i	0.000169751	−	0.00140731i
$115$	−14.1998	−	24.5949i	−1.32414	−	2.29348i
$116$	3.62465			0.336540
$117$	−14.5765	−	3.56835i	−1.34759	−	0.329894i
$118$	0.526206			0.0484412
$119$	−0.221342	−	0.383376i	−0.0202904	−	0.0351440i
$120$	−0.875074	+	0.373651i	−0.0798829	+	0.0341095i
$121$	5.49350	−	9.51501i	0.499409	−	0.865001i
$122$	0.155010	−	0.268486i	0.0140340	−	0.0243076i
$123$	4.66732	−	1.99292i	0.420839	−	0.179696i
$124$	−1.59546	−	2.76341i	−0.143276	−	0.248162i
$125$	18.7823			1.67994
$126$	0.00641722	+	0.00157095i	0.000571691	+	0.000139951i
$127$	10.9856			0.974817			0.487408	−	0.873174i	$-0.337942\pi$
$127$	10.9856			0.974817			0.487408	+	0.873174i	$0.337942\pi$
$128$	−0.569110	−	0.985728i	−0.0503027	−	0.0871268i
$129$	0.992004	−	8.22419i	0.0873411	−	0.724100i
$130$	0.343613	−	0.595154i	0.0301368	−	0.0521985i
$131$	−4.12499	+	7.14469i	−0.360402	+	0.624235i	−0.988027	−	0.154281i	$-0.950694\pi$
$131$	−4.12499	+	7.14469i	−0.360402	+	0.624235i	0.627625	+	0.778516i	$0.284027\pi$
$132$	−0.315852	−	0.236957i	−0.0274914	−	0.0206245i
$133$	0.00758092	+	0.0131305i	0.000657349	+	0.00113856i
$134$	−0.0356259			−0.00307761
$135$	−12.7095	−	15.4912i	−1.09386	−	1.33327i
$136$	1.02020			0.0874810
$137$	−8.24109	−	14.2740i	−0.704084	−	1.21951i	−0.967021	−	0.254696i	$-0.918025\pi$
$137$	−8.24109	−	14.2740i	−0.704084	−	1.21951i	0.262938	−	0.964813i	$-0.415309\pi$
$138$	−0.363513	−	0.272713i	−0.0309443	−	0.0232149i
$139$	−1.01279	+	1.75421i	−0.0859038	+	0.148790i	−0.905776	−	0.423757i	$-0.860711\pi$
$139$	−1.01279	+	1.75421i	−0.0859038	+	0.148790i	0.819872	+	0.572547i	$0.194044\pi$
$140$	0.238225	−	0.412617i	0.0201337	−	0.0348725i
$141$	−1.82564	+	15.1354i	−0.153746	+	1.27463i
$142$	0.135059	+	0.233929i	0.0113339	+	0.0196309i
$143$	0.570548			0.0477116
$144$	8.28321	−	8.65106i	0.690267	−	0.720921i
$145$	−6.99320			−0.580754
$146$	0.0643342	+	0.111430i	0.00532434	+	0.00922203i
$147$	11.1443	−	4.75855i	0.919167	−	0.392479i
$148$	6.68404	−	11.5771i	0.549424	−	0.951631i
$149$	6.86763	−	11.8951i	0.562618	−	0.974484i	−0.434649	−	0.900600i	$-0.643127\pi$
$149$	6.86763	−	11.8951i	0.562618	−	0.974484i	0.997267	−	0.0738834i	$-0.0235393\pi$
$150$	0.560147	−	0.239180i	0.0457358	−	0.0195289i
$151$	5.69927	+	9.87143i	0.463800	+	0.803325i	0.999146	−	0.0413072i	$-0.0131522\pi$
$151$	5.69927	+	9.87143i	0.463800	+	0.803325i	−0.535346	+	0.844633i	$0.679819\pi$
$152$	−0.0349415			−0.00283413
$153$	6.00985	+	20.6264i	0.485867	+	1.66754i
$154$	−0.000251181	0		−2.02408e−5	0
$155$	3.07819	+	5.33158i	0.247246	+	0.428243i
$156$	−2.07380	+	17.1928i	−0.166037	+	1.37653i
$157$	12.2480	−	21.2141i	0.977496	−	1.69307i	0.306055	−	0.952014i	$-0.400991\pi$
$157$	12.2480	−	21.2141i	0.977496	−	1.69307i	0.671441	−	0.741058i	$-0.265676\pi$
$158$	−0.201912	+	0.349722i	−0.0160633	+	0.0278224i
$159$	−10.8022	−	8.10395i	−0.856667	−	0.642685i
$160$	0.823595	+	1.42651i	0.0651109	+	0.112775i
$161$	0.455247			0.0358785
$162$	−0.284376	−	0.148108i	−0.0223427	−	0.0116364i
$163$	−5.44221			−0.426267			−0.213133	−	0.977023i	$-0.568367\pi$
$163$	−5.44221			−0.426267			−0.213133	+	0.977023i	$0.568367\pi$
$164$	−2.92819	−	5.07178i	−0.228654	−	0.396040i
$165$	0.609387	+	0.457172i	0.0474407	+	0.0355908i
$166$	−0.0767460	+	0.132928i	−0.00595664	+	0.0103172i
$167$	0.376979	−	0.652946i	0.0291715	−	0.0505265i	−0.851071	−	0.525050i	$-0.824046\pi$
$167$	0.376979	−	0.652946i	0.0291715	−	0.0505265i	0.880243	+	0.474524i	$0.157380\pi$
$168$	0.00182655	−	0.0151429i	0.000140921	−	0.00116830i
$169$	−6.01146	−	10.4121i	−0.462420	−	0.800934i
$170$	−0.983843			−0.0754573
$171$	−0.205836	−	0.706449i	−0.0157407	−	0.0540235i
$172$	−9.55924			−0.728885
$173$	0.948414	+	1.64270i	0.0721066	+	0.124892i	0.899824	−	0.436252i	$-0.143694\pi$
$173$	0.948414	+	1.64270i	0.0721066	+	0.124892i	−0.827718	+	0.561145i	$0.810361\pi$
$174$	−0.102913	+	0.0439432i	−0.00780180	+	0.00333132i
$175$	−0.305079	+	0.528412i	−0.0230618	+	0.0399442i
$176$	−0.227681	+	0.394354i	−0.0171621	+	0.0297256i
$177$	23.5279	−	10.0463i	1.76846	−	0.755124i
$178$	0.0974563	+	0.168799i	0.00730466	+	0.0126520i
$179$	−3.55687			−0.265853			−0.132926	−	0.991126i	$-0.542437\pi$
$179$	−3.55687			−0.265853			−0.132926	+	0.991126i	$0.542437\pi$
$180$	−15.9913	+	16.7015i	−1.19192	+	1.24486i
$181$	−12.8100			−0.952158			−0.476079	−	0.879402i	$-0.657942\pi$
$181$	−12.8100			−0.952158			−0.476079	+	0.879402i	$0.657942\pi$
$182$	0.00550811	+	0.00954033i	0.000408288	+	0.000707176i
$183$	1.80497	−	14.9641i	0.133427	−	1.10617i
$184$	−0.524574	+	0.908589i	−0.0386721	+	0.0669821i
$185$	−12.8958	+	22.3362i	−0.948119	+	1.64219i
$186$	0.0788011	+	0.0591178i	0.00577798	+	0.00433473i
$187$	−0.408403	−	0.707375i	−0.0298654	−	0.0517284i
$188$	17.5924			1.28305
$189$	0.316921	−	0.0522760i	0.0230526	−	0.00380252i
$190$	0.0336964			0.00244460
$191$	−12.3345	−	21.3640i	−0.892492	−	1.54584i	−0.836878	−	0.547390i	$-0.815621\pi$
$191$	−12.3345	−	21.3640i	−0.892492	−	1.54584i	−0.0556147	−	0.998452i	$-0.517712\pi$
$192$	−11.0418	−	8.28373i	−0.796873	−	0.597827i
$193$	11.1047	−	19.2339i	0.799336	−	1.38449i	−0.120714	−	0.992687i	$-0.538518\pi$
$193$	11.1047	−	19.2339i	0.799336	−	1.38449i	0.920049	−	0.391802i	$-0.128148\pi$
$194$	0.00570709	−	0.00988497i	0.000409745	−	0.000709700i
$195$	4.00109	−	33.1709i	0.286524	−	2.37542i
$196$	−6.99174	−	12.1100i	−0.499410	−	0.865003i
$197$	−3.41426			−0.243256			−0.121628	−	0.992576i	$-0.538812\pi$
$197$	−3.41426			−0.243256			−0.121628	+	0.992576i	$0.538812\pi$
$198$	0.0118406	+	0.00289859i	0.000841471	+	0.000205994i
$199$	9.81500			0.695767			0.347883	−	0.937538i	$-0.386901\pi$
$199$	9.81500			0.695767			0.347883	+	0.937538i	$0.386901\pi$
$200$	−0.703076	−	1.21776i	−0.0497149	−	0.0861088i
$201$	−1.59291	+	0.680165i	−0.112356	+	0.0479751i
$202$	0.251738	−	0.436024i	0.0177123	−	0.0306785i
$203$	0.0560506	−	0.0970824i	0.00393398	−	0.00681385i
$204$	22.8004	−	9.73563i	1.59635	−	0.681630i
$205$	5.64950	+	9.78522i	0.394578	+	0.683430i
$206$	0.363183			0.0253042
$207$	−21.4601	−	5.25349i	−1.49158	−	0.365143i
$208$	19.9711			1.38475
$209$	0.0139877	+	0.0242274i	0.000967551	+	0.00167585i
$210$	−0.00176146	+	0.0146033i	−0.000121552	+	0.00100773i
$211$	−9.65150	+	16.7169i	−0.664436	+	1.15084i	0.315001	+	0.949091i	$0.397995\pi$
$211$	−9.65150	+	16.7169i	−0.664436	+	1.15084i	−0.979438	+	0.201746i	$0.935338\pi$
$212$	−7.79165	+	13.4955i	−0.535133	+	0.926877i
$213$	10.5049	+	7.88096i	0.719786	+	0.539995i
$214$	−0.287392	−	0.497777i	−0.0196457	−	0.0340273i
$215$	18.4431			1.25781
$216$	−0.260850	+	0.692752i	−0.0177486	+	0.0471358i
$217$	−0.0986868			−0.00669930
$218$	0.172998	+	0.299641i	0.0117169	+	0.0202943i
$219$	5.00394	+	3.75404i	0.338135	+	0.253674i
$220$	0.439554	−	0.761330i	0.0296347	−	0.0513288i
$221$	−17.9116	+	31.0238i	−1.20486	+	2.08689i
$222$	−0.0494225	+	0.409736i	−0.00331702	+	0.0274997i
$223$	2.75040	+	4.76384i	0.184181	+	0.319010i	0.943300	−	0.331941i	$-0.107704\pi$
$223$	2.75040	+	4.76384i	0.184181	+	0.319010i	−0.759119	+	0.650951i	$0.774370\pi$
$224$	−0.0264045			−0.00176422
$225$	20.4791	−	21.3885i	1.36527	−	1.42590i
$226$	−0.287472			−0.0191224
$227$	6.96436	+	12.0626i	0.462241	+	0.800625i	0.999072	−	0.0430646i	$-0.0137121\pi$
$227$	6.96436	+	12.0626i	0.462241	+	0.800625i	−0.536831	+	0.843690i	$0.680379\pi$
$228$	−0.780909	+	0.333443i	−0.0517170	+	0.0220828i
$229$	−6.18396	+	10.7109i	−0.408648	+	0.707799i	−0.994738	−	0.102447i	$-0.967333\pi$
$229$	−6.18396	+	10.7109i	−0.408648	+	0.707799i	0.586091	+	0.810245i	$0.300666\pi$
$230$	0.505882	−	0.876213i	0.0333569	−	0.0577758i
$231$	−0.0112309	+	0.00479552i	−0.000738938	+	0.000315522i
$232$	0.129172	+	0.223733i	0.00848058	+	0.0146888i
$233$	−2.39098			−0.156638			−0.0783190	−	0.996928i	$-0.524955\pi$
$233$	−2.39098			−0.156638			−0.0783190	+	0.996928i	$0.524955\pi$
$234$	−0.149556	−	0.513289i	−0.00977675	−	0.0335548i
$235$	−33.9418			−2.21412
$236$	−14.7610	−	25.5667i	−0.960857	−	1.66425i
$237$	−2.35110	+	19.4918i	−0.152721	+	1.26613i
$238$	0.00788550	−	0.0136581i	0.000511141	−	0.000885323i
$239$	−5.97202	+	10.3438i	−0.386298	+	0.669087i	−0.991948	−	0.126644i	$-0.959580\pi$
$239$	−5.97202	+	10.3438i	−0.386298	+	0.669087i	0.605651	+	0.795731i	$0.292913\pi$
$240$	21.3306	+	16.0025i	1.37688	+	1.03296i
$241$	−2.15246	−	3.72817i	−0.138652	−	0.240153i	0.788335	−	0.615247i	$-0.210944\pi$
$241$	−2.15246	−	3.72817i	−0.138652	−	0.240153i	−0.926987	+	0.375094i	$0.877610\pi$
$242$	0.391421			0.0251615
$243$	−15.5427	−	1.19296i	−0.997067	−	0.0765283i
$244$	−17.3932			−1.11349
$245$	13.4895	+	23.3645i	0.861812	+	1.49270i
$246$	0.144626	+	0.108501i	0.00922103	+	0.00691776i
$247$	0.613469	−	1.06256i	0.0390341	−	0.0676090i
$248$	0.113715	−	0.196961i	0.00722093	−	0.0125070i
$249$	−0.893644	+	7.40874i	−0.0566324	+	0.469510i
$250$	0.334568	+	0.579488i	0.0211599	+	0.0366500i
$251$	25.8421			1.63114			0.815570	−	0.578659i	$-0.196424\pi$
$251$	25.8421			1.63114			0.815570	+	0.578659i	$0.196424\pi$
$252$	−0.103686	−	0.355861i	−0.00653161	−	0.0224171i
$253$	0.839987			0.0528095
$254$	0.195686	+	0.338939i	0.0122784	+	0.0212669i
$255$	−43.9898	+	18.7834i	−2.75475	+	1.17626i
$256$	−7.94928	+	13.7686i	−0.496830	+	0.860535i
$257$	−11.5565	+	20.0165i	−0.720878	+	1.24860i	0.239771	+	0.970829i	$0.422928\pi$
$257$	−11.5565	+	20.0165i	−0.720878	+	1.24860i	−0.960648	+	0.277767i	$0.910406\pi$
$258$	0.271411	−	0.115891i	0.0168973	−	0.00721504i
$259$	−0.206720	−	0.358050i	−0.0128450	−	0.0222481i
$260$	−38.5556			−2.39112
$261$	−3.76251	+	3.92960i	−0.232894	+	0.243236i
$262$	−0.293913			−0.0181580
$263$	4.20126	+	7.27680i	0.259061	+	0.448707i	0.965991	−	0.258577i	$-0.0832536\pi$
$263$	4.20126	+	7.27680i	0.259061	+	0.448707i	−0.706930	+	0.707284i	$0.749920\pi$
$264$	0.00337020	−	0.0279406i	0.000207421	−	0.00171962i
$265$	15.0328	−	26.0375i	0.923457	−	1.59947i
$266$	−0.000270077	0	0.000467787i	−1.65595e−5	0	2.86819e-5i
$267$	7.58019	+	5.68678i	0.463900	+	0.348025i
$268$	0.999365	+	1.73095i	0.0610460	+	0.105735i
$269$	−7.01461			−0.427688			−0.213844	−	0.976868i	$-0.568598\pi$
$269$	−7.01461			−0.427688			−0.213844	+	0.976868i	$0.568598\pi$
$270$	0.251555	−	0.668067i	0.0153091	−	0.0406573i
$271$	−16.0162			−0.972916			−0.486458	−	0.873704i	$-0.661711\pi$
$271$	−16.0162			−0.972916			−0.486458	+	0.873704i	$0.661711\pi$
$272$	−14.2955	−	24.7605i	−0.866790	−	1.50132i
$273$	0.428423	+	0.321410i	0.0259293	+	0.0194526i
$274$	0.293596	−	0.508523i	0.0177368	−	0.0307210i
$275$	−0.562908	+	0.974986i	−0.0339446	+	0.0587938i
$276$	−3.05315	+	25.3121i	−0.183778	+	1.52361i
$277$	13.0399	+	22.5858i	0.783493	+	1.35705i	0.929895	+	0.367824i	$0.119897\pi$
$277$	13.0399	+	22.5858i	0.783493	+	1.35705i	−0.146403	+	0.989225i	$0.546770\pi$
$278$	−0.0721632			−0.00432806
$279$	4.65205	+	1.13883i	0.278511	+	0.0681801i
$280$	0.0339587			0.00202942
$281$	13.8661	+	24.0167i	0.827180	+	1.43272i	0.900242	+	0.435390i	$0.143390\pi$
$281$	13.8661	+	24.0167i	0.827180	+	1.43272i	−0.0730618	+	0.997327i	$0.523277\pi$
$282$	−0.499491	+	0.213280i	−0.0297443	+	0.0127006i
$283$	−6.33627	+	10.9747i	−0.376652	+	0.652381i	−0.990573	−	0.136987i	$-0.956258\pi$
$283$	−6.33627	+	10.9747i	−0.376652	+	0.652381i	0.613921	+	0.789368i	$0.289591\pi$
$284$	7.57725	−	13.1242i	0.449627	−	0.778777i
$285$	1.50664	−	0.643328i	0.0892459	−	0.0381075i
$286$	0.0101631	+	0.0176031i	0.000600959	+	0.00104089i
$287$	−0.181123			−0.0106914
$288$	1.24469	+	0.304704i	0.0733442	+	0.0179548i
$289$	34.2851			2.01677
$290$	−0.124570	−	0.215761i	−0.00731497	−	0.0126699i
$291$	0.0664544	−	0.550939i	0.00389563	−	0.0322966i
$292$	3.60937	−	6.25160i	0.211222	−	0.365848i
$293$	−4.35730	+	7.54707i	−0.254556	+	0.440905i	−0.964775	−	0.263077i	$-0.915263\pi$
$293$	−4.35730	+	7.54707i	−0.254556	+	0.440905i	0.710218	+	0.703981i	$0.248596\pi$
$294$	0.345328	+	0.259071i	0.0201400	+	0.0151093i
$295$	28.4790	+	49.3271i	1.65811	+	2.87193i
$296$	0.952801			0.0553804
$297$	0.584758	−	0.0964556i	0.0339311	−	0.00559692i
$298$	0.489331			0.0283462
$299$	−18.4199	−	31.9043i	−1.06525	−	1.84507i
$300$	−27.3341	−	20.5064i	−1.57813	−	1.18394i
$301$	−0.147821	+	0.256034i	−0.00852028	+	0.0147576i
$302$	−0.203042	+	0.351678i	−0.0116837	+	0.0202368i
$303$	2.93129	−	24.3018i	0.168398	−	1.39610i
$304$	0.489617	+	0.848041i	0.0280814	+	0.0486385i
$305$	33.5575			1.92150
$306$	−0.529331	+	0.552838i	−0.0302598	+	0.0316036i
$307$	−0.971835			−0.0554655			−0.0277328	−	0.999615i	$-0.508829\pi$
$307$	−0.971835			−0.0554655			−0.0277328	+	0.999615i	$0.508829\pi$
$308$	0.00704605	+	0.0122041i	0.000401486	+	0.000695394i
$309$	16.2388	−	6.93385i	0.923791	−	0.394453i
$310$	−0.109663	+	0.189942i	−0.00622845	+	0.0107880i
$311$	−5.86029	+	10.1503i	−0.332306	+	0.575572i	−0.982964	−	0.183800i	$-0.941160\pi$
$311$	−5.86029	+	10.1503i	−0.332306	+	0.575572i	0.650657	+	0.759372i	$0.274493\pi$
$312$	−1.13514	+	0.484698i	−0.0642646	+	0.0274406i
$313$	0.421868	+	0.730697i	0.0238454	+	0.0413014i	0.877702	−	0.479207i	$-0.159076\pi$
$313$	0.421868	+	0.730697i	0.0238454	+	0.0413014i	−0.853856	+	0.520509i	$0.825742\pi$
$314$	0.872691			0.0492488
$315$	0.200046	+	0.686578i	0.0112713	+	0.0386843i
$316$	22.6559			1.27449
$317$	0.332571	+	0.576030i	0.0186791	+	0.0323531i	0.875214	−	0.483736i	$-0.160721\pi$
$317$	0.332571	+	0.576030i	0.0186791	+	0.0323531i	−0.856535	+	0.516089i	$0.827387\pi$
$318$	0.0576123	−	0.477633i	0.00323074	−	0.0267843i
$319$	0.103420	−	0.179129i	0.00579041	−	0.0100293i
$320$	15.3663	−	26.6152i	0.859001	−	1.48783i
$321$	−22.3534	−	16.7699i	−1.24765	−	0.936004i
$322$	0.00810929	+	0.0140457i	0.000451913	+	0.000782737i
$323$	−1.75650			−0.0977345
$324$	0.781128	+	17.9716i	0.0433960	+	0.998423i
$325$	49.3757			2.73887
$326$	−0.0969418	−	0.167908i	−0.00536911	−	0.00929957i
$327$	13.4558	+	10.0948i	0.744110	+	0.558243i
$328$	0.208705	−	0.361488i	0.0115238	−	0.0199598i
$329$	0.272043	−	0.471193i	0.0149982	−	0.0259777i
$330$	−0.00325011	+	0.0269450i	−0.000178913	+	0.00148327i
$331$	10.6299	+	18.4115i	0.584270	+	1.01198i	0.994966	+	0.100213i	$0.0319523\pi$
$331$	10.6299	+	18.4115i	0.584270	+	1.01198i	−0.410696	+	0.911772i	$0.634714\pi$
$332$	8.61141			0.472613
$333$	5.61284	+	19.2638i	0.307582	+	1.05565i
$334$	0.0268604			0.00146973
$335$	−1.92812	−	3.33960i	−0.105345	−	0.182462i
$336$	−0.393118	+	0.167859i	−0.0214464	+	0.00915747i
$337$	−0.395225	+	0.684550i	−0.0215293	+	0.0372898i	−0.876589	−	0.481239i	$-0.840187\pi$
$337$	−0.395225	+	0.684550i	−0.0215293	+	0.0372898i	0.855060	+	0.518529i	$0.173520\pi$
$338$	0.214163	−	0.370942i	0.0116490	−	0.0201766i
$339$	−12.8535	+	5.48839i	−0.698109	+	0.298088i
$340$	27.5984	+	47.8019i	1.49673	+	2.59242i
$341$	−0.182089			−0.00986068
$342$	0.0181295	−	0.0189346i	0.000980330	−	0.00102387i
$343$	−0.865182			−0.0467155
$344$	−0.340664	−	0.590048i	−0.0183674	−	0.0318133i
$345$	5.89058	−	48.8357i	0.317138	−	2.62923i
$346$	−0.0337881	+	0.0585227i	−0.00181646	+	0.00314620i
$347$	−9.54776	+	16.5372i	−0.512550	+	0.887763i	0.487344	+	0.873210i	$0.337966\pi$
$347$	−9.54776	+	16.5372i	−0.512550	+	0.887763i	−0.999894	+	0.0145530i	$0.995367\pi$
$348$	5.02194	+	3.76754i	0.269204	+	0.201961i
$349$	−15.2188	−	26.3598i	−0.814645	−	1.41101i	−0.909582	−	0.415524i	$-0.863598\pi$
$349$	−15.2188	−	26.3598i	−0.814645	−	1.41101i	0.0949371	−	0.995483i	$-0.469735\pi$
$350$	−0.0217374			−0.00116191
$351$	−16.4866	−	20.0950i	−0.879991	−	1.07259i
$352$	−0.0487195			−0.00259676
$353$	1.03073	+	1.78527i	0.0548601	+	0.0950204i	0.892151	−	0.451737i	$-0.149195\pi$
$353$	1.03073	+	1.78527i	0.0548601	+	0.0950204i	−0.837291	+	0.546757i	$0.815862\pi$
$354$	0.729057	+	0.546950i	0.0387490	+	0.0290701i
$355$	−14.6191	+	25.3211i	−0.775903	+	1.34390i
$356$	5.46763	−	9.47021i	0.289784	−	0.501920i
$357$	0.0918202	−	0.761233i	0.00485964	−	0.0402887i
$358$	−0.0633583	−	0.109740i	−0.00334859	−	0.00579993i
$359$	0.299320			0.0157975			0.00789876	−	0.999969i	$-0.497486\pi$
$359$	0.299320			0.0157975			0.00789876	+	0.999969i	$0.497486\pi$
$360$	−1.60079	−	0.391878i	−0.0843692	−	0.0206538i
$361$	−18.9398			−0.996834
$362$	−0.228183	−	0.395225i	−0.0119931	−	0.0207726i
$363$	17.5013	−	7.47297i	0.918582	−	0.392229i
$364$	0.309023	−	0.535244i	0.0161972	−	0.0280544i
$365$	−6.96372	+	12.0615i	−0.364498	+	0.631328i
$366$	0.493836	−	0.210865i	0.0258132	−	0.0110221i
$367$	11.0450	+	19.1305i	0.576543	+	0.998603i	0.995872	+	0.0907680i	$0.0289322\pi$
$367$	11.0450	+	19.1305i	0.576543	+	0.998603i	−0.419329	+	0.907835i	$0.637734\pi$
$368$	29.4023			1.53270
$369$	8.53805	+	2.09013i	0.444473	+	0.108808i
$370$	−0.918850			−0.0477687
$371$	0.240976	+	0.417382i	0.0125108	+	0.0216694i
$372$	0.661850	−	5.48705i	0.0343153	−	0.284491i
$373$	8.42299	−	14.5891i	0.436126	−	0.755393i	−0.561261	−	0.827639i	$-0.689684\pi$
$373$	8.42299	−	14.5891i	0.436126	−	0.755393i	0.997387	+	0.0722465i	$0.0230168\pi$
$374$	0.0145497	−	0.0252008i	0.000752348	−	0.00130310i
$375$	26.0228	+	19.5227i	1.34381	+	1.00815i
$376$	0.626942	+	1.08590i	0.0323321	+	0.0560008i
$377$	−9.07153			−0.467208
$378$	0.00725816	+	0.00884674i	0.000373319	+	0.000455027i
$379$	−18.4656			−0.948515			−0.474257	−	0.880386i	$-0.657283\pi$
$379$	−18.4656			−0.948515			−0.474257	+	0.880386i	$0.657283\pi$
$380$	−0.945241	−	1.63721i	−0.0484898	−	0.0839868i
$381$	15.2206	+	11.4187i	0.779773	+	0.584998i
$382$	0.439427	−	0.761110i	0.0224830	−	0.0389418i
$383$	5.24866	−	9.09095i	0.268194	−	0.464526i	−0.700201	−	0.713945i	$-0.746906\pi$
$383$	5.24866	−	9.09095i	0.268194	−	0.464526i	0.968396	+	0.249420i	$0.0802398\pi$
$384$	0.236086	−	1.95727i	0.0120477	−	0.0998814i
$385$	−0.0135943	−	0.0235460i	−0.000692828	−	0.00120001i
$386$	0.791231			0.0402726
$387$	9.92282	−	10.3635i	0.504405	−	0.526805i
$388$	−0.640374			−0.0325101
$389$	−3.34332	−	5.79081i	−0.169513	−	0.293606i	0.768736	−	0.639567i	$-0.220886\pi$
$389$	−3.34332	−	5.79081i	−0.169513	−	0.293606i	−0.938249	+	0.345961i	$0.887553\pi$
$390$	1.09469	−	0.467426i	0.0554318	−	0.0236691i
$391$	−26.3703	+	45.6747i	−1.33360	+	2.30987i
$392$	0.498332	−	0.863136i	0.0251696	−	0.0435950i
$393$	−13.1415	+	5.61135i	−0.662902	+	0.283055i
$394$	−0.0608180	−	0.105340i	−0.00306397	−	0.00530695i
$395$	−43.7111			−2.19934
$396$	−0.191313	−	0.656606i	−0.00961386	−	0.0329957i
$397$	17.2104			0.863767			0.431884	−	0.901929i	$-0.357849\pi$
$397$	17.2104			0.863767			0.431884	+	0.901929i	$0.357849\pi$
$398$	0.174834	+	0.302821i	0.00876364	+	0.0151791i
$399$	−0.00314482	+	0.0260721i	−0.000157438	+	0.00130524i
$400$	−19.7037	+	34.1277i	−0.985183	+	1.70639i
$401$	2.34769	−	4.06632i	0.117238	−	0.203063i	−0.801434	−	0.598083i	$-0.795929\pi$
$401$	2.34769	−	4.06632i	0.117238	−	0.203063i	0.918672	+	0.395021i	$0.129263\pi$
$402$	−0.0493596	−	0.0370303i	−0.00246183	−	0.00184690i
$403$	3.99301	+	6.91609i	0.198906	+	0.344515i
$404$	−28.2467			−1.40533
$405$	−1.50707	−	34.6735i	−0.0748868	−	1.72294i
$406$	0.00399370			0.000198204
$407$	−0.381424	−	0.660645i	−0.0189065	−	0.0327470i
$408$	1.41348	+	1.06041i	0.0699776	+	0.0524983i
$409$	7.86675	−	13.6256i	0.388986	−	0.673743i	−0.603328	−	0.797493i	$-0.706159\pi$
$409$	7.86675	−	13.6256i	0.388986	−	0.673743i	0.992313	+	0.123751i	$0.0394923\pi$
$410$	−0.201268	+	0.348607i	−0.00993994	+	0.0172165i
$411$	3.41868	−	28.3425i	0.168631	−	1.39803i
$412$	−10.1879	−	17.6460i	−0.501922	−	0.869354i
$413$	−0.913038			−0.0449276
$414$	−0.220182	−	0.755687i	−0.0108214	−	0.0371400i
$415$	−16.6144			−0.815569
$416$	1.06836	+	1.85046i	0.0523807	+	0.0907261i
$417$	−3.22658	+	1.37773i	−0.158006	+	0.0674677i
$418$	−0.000498325	0	0.000863124i	−2.43739e−5	0	4.22168e-5i
$419$	4.22506	−	7.31802i	0.206408	−	0.357509i	−0.744173	−	0.667987i	$-0.767156\pi$
$419$	4.22506	−	7.31802i	0.206408	−	0.357509i	0.950580	+	0.310479i	$0.100489\pi$
$420$	0.758943	−	0.324064i	0.0370326	−	0.0158127i
$421$	−13.8314	−	23.9567i	−0.674102	−	1.16758i	−0.976730	−	0.214470i	$-0.931197\pi$
$421$	−13.8314	−	23.9567i	−0.674102	−	1.16758i	0.302628	−	0.953109i	$-0.402136\pi$
$422$	−0.687686			−0.0334760
$423$	−18.2615	+	19.0724i	−0.887903	+	0.927334i
$424$	−1.11069			−0.0539399
$425$	−35.3435	−	61.2168i	−1.71441	−	2.96945i
$426$	−0.0560270	+	0.464491i	−0.00271452	+	0.0225047i
$427$	−0.268964	+	0.465858i	−0.0130161	+	0.0225445i
$428$	−16.1236	+	27.9269i	−0.779365	+	1.34990i
$429$	0.790493	+	0.593040i	0.0381654	+	0.0286322i
$430$	0.328526	+	0.569023i	0.0158429	+	0.0274407i
$431$	−31.2330			−1.50444			−0.752220	−	0.658913i	$-0.771017\pi$
$431$	−31.2330			−1.50444			−0.752220	+	0.658913i	$0.771017\pi$
$432$	20.4685	−	3.37627i	0.984789	−	0.162441i
$433$	9.19165			0.441722			0.220861	−	0.975305i	$-0.429113\pi$
$433$	9.19165			0.441722			0.220861	+	0.975305i	$0.429113\pi$
$434$	−0.00175790	−	0.00304478i	−8.43820e−5	−	0.000146154i
$435$	−9.68906	−	7.26889i	−0.464555	−	0.348516i
$436$	9.70577	−	16.8109i	0.464822	−	0.805095i
$437$	0.903177	−	1.56435i	0.0432048	−	0.0748329i
$438$	−0.0266880	+	0.221257i	−0.00127520	+	0.0105720i
$439$	−9.96156	−	17.2539i	−0.475439	−	0.823485i	0.524165	−	0.851617i	$-0.324378\pi$
$439$	−9.96156	−	17.2539i	−0.475439	−	0.823485i	−0.999604	+	0.0281318i	$0.991044\pi$
$440$	0.0626579			0.00298710
$441$	20.3866	+	4.99068i	0.970789	+	0.237651i
$442$	−1.27623			−0.0607042
$443$	−9.78950	−	16.9559i	−0.465113	−	0.805599i	0.534094	−	0.845425i	$-0.320653\pi$
$443$	−9.78950	−	16.9559i	−0.465113	−	0.805599i	−0.999207	+	0.0398260i	$0.987320\pi$
$444$	21.2942	−	9.09249i	1.01058	−	0.431511i
$445$	−10.5489	+	18.2713i	−0.500068	+	0.866143i
$446$	−0.0979856	+	0.169716i	−0.00463975	+	0.00803628i
$447$	21.8791	−	9.34224i	1.03485	−	0.441873i
$448$	0.246321	+	0.426641i	0.0116376	+	0.0201569i
$449$	15.0663			0.711022			0.355511	−	0.934672i	$-0.384307\pi$
$449$	15.0663			0.711022			0.355511	+	0.934672i	$0.384307\pi$
$450$	1.02469	+	0.250847i	0.0483044	+	0.0118250i
$451$	−0.334194			−0.0157366
$452$	8.06408	+	13.9674i	0.379302	+	0.656971i
$453$	−2.36425	+	19.6008i	−0.111082	+	0.920925i
$454$	−0.248112	+	0.429742i	−0.0116445	+	0.0201688i
$455$	−0.596213	+	1.03267i	−0.0279509	+	0.0484124i
$456$	−0.0484113	−	0.0363189i	−0.00226707	−	0.00170079i
$457$	9.31045	+	16.1262i	0.435525	+	0.754351i	0.997338	−	0.0729131i	$-0.0232296\pi$
$457$	9.31045	+	16.1262i	0.435525	+	0.754351i	−0.561814	+	0.827264i	$0.689896\pi$
$458$	−0.440618			−0.0205887
$459$	−13.1129	+	34.8246i	−0.612057	+	1.62547i
$460$	−56.7633			−2.64660
$461$	−9.31473	−	16.1336i	−0.433830	−	0.751416i	0.563369	−	0.826205i	$-0.309505\pi$
$461$	−9.31473	−	16.1336i	−0.433830	−	0.751416i	−0.997199	+	0.0747895i	$0.976172\pi$
$462$	−0.000348011	0	0.000261083i	−1.61909e−5	0	1.21467e-5i
$463$	−7.36126	+	12.7501i	−0.342107	+	0.592546i	−0.984824	−	0.173557i	$-0.944474\pi$
$463$	−7.36126	+	12.7501i	−0.342107	+	0.592546i	0.642717	+	0.766104i	$0.277807\pi$
$464$	3.62005	−	6.27011i	0.168056	−	0.291082i
$465$	−1.27694	+	10.5864i	−0.0592166	+	0.490934i
$466$	−0.0425903	−	0.0737686i	−0.00197296	−	0.00341726i
$467$	5.36976			0.248483			0.124242	−	0.992252i	$-0.460350\pi$
$467$	5.36976			0.248483			0.124242	+	0.992252i	$0.460350\pi$
$468$	−20.7438	+	21.6651i	−0.958885	+	1.00147i
$469$	0.0618156			0.00285438
$470$	−0.604602	−	1.04720i	−0.0278882	−	0.0483038i
$471$	39.0200	−	16.6613i	1.79795	−	0.767712i
$472$	1.05208	−	1.82225i	0.0484258	−	0.0838760i
$473$	−0.272749	+	0.472414i	−0.0125410	+	0.0217216i
$474$	−0.643258	+	0.274667i	−0.0295458	+	0.0126159i
$475$	1.21051	+	2.09666i	0.0555419	+	0.0962015i
$476$	−0.884806			−0.0405550
$477$	−6.54294	−	22.4560i	−0.299581	−	1.02819i
$478$	−0.425517			−0.0194627
$479$	−2.73964	−	4.74520i	−0.125177	−	0.216814i	0.796625	−	0.604474i	$-0.206617\pi$
$479$	−2.73964	−	4.74520i	−0.125177	−	0.216814i	−0.921802	+	0.387660i	$0.873283\pi$
$480$	−0.341655	+	2.83249i	−0.0155944	+	0.129285i
$481$	−16.7284	+	28.9744i	−0.762748	+	1.32112i
$482$	0.0766833	−	0.132819i	0.00349283	−	0.00604975i
$483$	0.630744	+	0.473194i	0.0286998	+	0.0215311i
$484$	−10.9800	−	19.0180i	−0.499092	−	0.864452i
$485$	1.23550			0.0561013
$486$	−0.240056	−	0.500789i	−0.0108891	−	0.0227163i
$487$	29.9347			1.35647			0.678236	−	0.734844i	$-0.262745\pi$
$487$	29.9347			1.35647			0.678236	+	0.734844i	$0.262745\pi$
$488$	−0.619845	−	1.07360i	−0.0280591	−	0.0485997i
$489$	−7.54017	−	5.65675i	−0.340978	−	0.255807i
$490$	−0.480575	+	0.832380i	−0.0217102	+	0.0376031i
$491$	−9.35010	+	16.1949i	−0.421964	+	0.730864i	−0.996132	−	0.0878745i	$-0.971993\pi$
$491$	−9.35010	+	16.1949i	−0.421964	+	0.730864i	0.574167	+	0.818738i	$0.305326\pi$
$492$	1.21472	−	10.0706i	0.0547636	−	0.454016i
$493$	6.49348	+	11.2470i	0.292451	+	0.506541i
$494$	0.0437107			0.00196664
$495$	0.369110	+	1.26682i	0.0165903	+	0.0569394i
$496$	−6.37373			−0.286189
$497$	−0.234345	−	0.405897i	−0.0105118	−	0.0182070i
$498$	−0.244500	+	0.104400i	−0.0109563	+	0.00467827i
$499$	−2.54379	+	4.40597i	−0.113876	+	0.197238i	−0.917330	−	0.398128i	$-0.869660\pi$
$499$	−2.54379	+	4.40597i	−0.113876	+	0.197238i	0.803454	+	0.595367i	$0.202993\pi$
$500$	18.7704	−	32.5112i	0.839436	−	1.45395i
$501$	1.20099	−	0.512815i	0.0536562	−	0.0229109i
$502$	0.460324	+	0.797304i	0.0205453	+	0.0355854i
$503$	−34.3925			−1.53349			−0.766743	−	0.641954i	$-0.778124\pi$
$503$	−34.3925			−1.53349			−0.766743	+	0.641954i	$0.778124\pi$
$504$	0.0182706	−	0.0190819i	0.000813836	−	0.000849977i
$505$	54.4977			2.42512
$506$	0.0149626	+	0.0259160i	0.000665170	+	0.00115211i
$507$	2.49376	−	20.6744i	0.110752	−	0.918184i
$508$	10.9787	−	19.0156i	0.487099	−	0.843680i
$509$	−16.0338	+	27.7714i	−0.710687	+	1.23095i	0.253913	+	0.967227i	$0.418282\pi$
$509$	−16.0338	+	27.7714i	−0.710687	+	1.23095i	−0.964600	+	0.263719i	$0.915051\pi$
$510$	−1.36311	−	1.02263i	−0.0603596	−	0.0452827i
$511$	−0.111628	−	0.193346i	−0.00493815	−	0.00855313i
$512$	−2.84284			−0.125637
$513$	0.449114	−	1.19273i	0.0198288	−	0.0526605i
$514$	−0.823424			−0.0363197
$515$	19.6560	+	34.0452i	0.866146	+	1.50021i
$516$	−13.2443	−	9.93608i	−0.583048	−	0.437412i
$517$	0.501953	−	0.869408i	0.0220759	−	0.0382365i
$518$	0.00736458	−	0.0127558i	0.000323581	−	0.000560459i
$519$	−0.393435	+	3.26176i	−0.0172699	+	0.143175i
$520$	−1.37401	−	2.37986i	−0.0602545	−	0.104364i
$521$	−9.14576			−0.400683			−0.200342	−	0.979726i	$-0.564205\pi$
$521$	−9.14576			−0.400683			−0.200342	+	0.979726i	$0.564205\pi$
$522$	−0.188261	−	0.0460867i	−0.00823996	−	0.00201716i
$523$	−27.5217			−1.20344			−0.601721	−	0.798707i	$-0.705518\pi$
$523$	−27.5217			−1.20344			−0.601721	+	0.798707i	$0.705518\pi$
$524$	8.24475	+	14.2803i	0.360173	+	0.623839i
$525$	−0.971930	+	0.415008i	−0.0424185	+	0.0181124i
$526$	−0.149674	+	0.259242i	−0.00652608	+	0.0113035i
$527$	5.71645	−	9.90118i	0.249013	−	0.431302i
$528$	−0.725351	+	0.309721i	−0.0315669	+	0.0134789i
$529$	−15.6187	−	27.0523i	−0.679072	−	1.17619i
$530$	1.07111			0.0465262
$531$	43.0401	+	10.5363i	1.86778	+	0.457237i
$532$	0.0303044			0.00131386
$533$	7.32849	+	12.6933i	0.317432	+	0.549809i
$534$	−0.0404282	+	0.335169i	−0.00174950	+	0.0145042i
$535$	31.1081	−	53.8807i	1.34492	−	2.32947i
$536$	−0.0712292	+	0.123373i	−0.00307663	+	0.00532888i
$537$	−4.92803	−	3.69709i	−0.212660	−	0.159541i
$538$	−0.124951	−	0.216421i	−0.00538701	−	0.00933058i
$539$	−0.797966			−0.0343708
$540$	−39.5159	+	6.51813i	−1.70049	+	0.280496i
$541$	44.0691			1.89468			0.947339	−	0.320233i	$-0.103761\pi$
$541$	44.0691			1.89468			0.947339	+	0.320233i	$0.103761\pi$
$542$	−0.285296	−	0.494147i	−0.0122545	−	0.0212254i
$543$	−17.7482	−	13.3150i	−0.761648	−	0.571400i
$544$	1.52948	−	2.64914i	0.0655761	−	0.113581i
$545$	−18.7258	+	32.4340i	−0.802124	+	1.38932i
$546$	−0.00228495	+	0.0189434i	−9.77870e−5	+	0.000810701i
$547$	−6.83639	−	11.8410i	−0.292303	−	0.506284i	0.682051	−	0.731305i	$-0.261088\pi$
$547$	−6.83639	−	11.8410i	−0.292303	−	0.506284i	−0.974354	+	0.225021i	$0.927755\pi$
$548$	−32.9434			−1.40727
$549$	18.0547	−	18.8565i	0.770558	−	0.804777i
$550$	−0.0401082			−0.00171022
$551$	−0.222400	−	0.385209i	−0.00947457	−	0.0164104i
$552$	−1.67120	+	0.713594i	−0.0711311	+	0.0303726i
$553$	0.350344	−	0.606814i	0.0148982	−	0.0258044i
$554$	−0.464558	+	0.804639i	−0.0197372	+	0.0341858i
$555$	−41.0839	+	17.5426i	−1.74391	+	0.744640i
$556$	2.02430	+	3.50619i	0.0858493	+	0.148695i
$557$	−35.3207			−1.49659			−0.748293	−	0.663368i	$-0.769126\pi$
$557$	−35.3207			−1.49659			−0.748293	+	0.663368i	$0.769126\pi$
$558$	0.0477303	+	0.163815i	0.00202059	+	0.00693485i
$559$	23.9242			1.01189
$560$	−0.475845	−	0.824187i	−0.0201081	−	0.0348283i
$561$	0.169419	−	1.40457i	0.00715290	−	0.0593009i
$562$	−0.493991	+	0.855617i	−0.0208377	+	0.0360920i
$563$	14.0822	−	24.3911i	0.593495	−	1.02796i	−0.400262	−	0.916401i	$-0.631081\pi$
$563$	14.0822	−	24.3911i	0.593495	−	1.02796i	0.993757	−	0.111563i	$-0.0355858\pi$
$564$	24.3742	+	18.2859i	1.02634	+	0.769974i
$565$	−15.5584	−	26.9479i	−0.654547	−	1.13371i
$566$	−0.451470			−0.0189767
$567$	0.493430	+	0.256986i	0.0207221	+	0.0107924i
$568$	1.08013			0.0453212
$569$	7.24883	+	12.5553i	0.303887	+	0.526347i	0.977013	−	0.213181i	$-0.0683823\pi$
$569$	7.24883	+	12.5553i	0.303887	+	0.526347i	−0.673126	+	0.739528i	$0.735049\pi$
$570$	0.0466863	+	0.0350248i	0.00195547	+	0.00146703i
$571$	−0.933796	+	1.61738i	−0.0390781	+	0.0676853i	−0.884903	−	0.465775i	$-0.845775\pi$
$571$	−0.933796	+	1.61738i	−0.0390781	+	0.0676853i	0.845825	+	0.533461i	$0.179109\pi$
$572$	0.570186	−	0.987591i	0.0238407	−	0.0412933i
$573$	5.11677	−	42.4205i	0.213756	−	1.77214i
$574$	−0.00322634	−	0.00558818i	−0.000134665	−	0.000233246i
$575$	72.6931			3.03151
$576$	−6.68809	−	22.9542i	−0.278670	−	0.956424i
$577$	30.3140			1.26199			0.630994	−	0.775787i	$-0.282647\pi$
$577$	30.3140			1.26199			0.630994	+	0.775787i	$0.282647\pi$
$578$	0.610718	+	1.05779i	0.0254025	+	0.0439985i
$579$	35.3777	−	15.1061i	1.47025	−	0.627788i
$580$	−6.98877	+	12.1049i	−0.290193	+	0.502628i
$581$	0.133164	−	0.230648i	0.00552459	−	0.00956887i
$582$	0.0181818	−	0.00776353i	0.000753661	−	0.000321809i
$583$	0.444630	+	0.770121i	0.0184147	+	0.0318952i
$584$	0.514511			0.0212906
$585$	40.0221	−	41.7994i	1.65471	−	1.72819i
$586$	−0.310466			−0.0128252
$587$	−7.67538	−	13.2942i	−0.316797	−	0.548708i	0.663021	−	0.748601i	$-0.269274\pi$
$587$	−7.67538	−	13.2942i	−0.316797	−	0.548708i	−0.979818	+	0.199893i	$0.935941\pi$
$588$	2.90041	−	24.0458i	0.119611	−	0.991632i
$589$	−0.195787	+	0.339114i	−0.00806728	+	0.0139729i
$590$	−1.01459	+	1.75732i	−0.0417700	+	0.0723478i
$591$	−4.73045	−	3.54886i	−0.194585	−	0.145980i
$592$	−13.3511	−	23.1248i	−0.548727	−	0.950423i
$593$	34.8637			1.43168			0.715840	−	0.698264i	$-0.246044\pi$
$593$	34.8637			1.43168			0.715840	+	0.698264i	$0.246044\pi$
$594$	0.0133922	+	0.0163233i	0.000549488	+	0.000669754i
$595$	1.70710			0.0699842
$596$	−13.7265	−	23.7751i	−0.562261	−	0.973865i
$597$	13.5987	+	10.2019i	0.556556	+	0.417537i
$598$	0.656226	−	1.13662i	0.0268351	−	0.0464797i
$599$	9.59576	−	16.6203i	0.392072	−	0.679089i	−0.600651	−	0.799512i	$-0.705092\pi$
$599$	9.59576	−	16.6203i	0.392072	−	0.679089i	0.992723	+	0.120423i	$0.0384250\pi$
$600$	0.291660	−	2.41800i	0.0119070	−	0.0987144i
$601$	4.89862	+	8.48465i	0.199819	+	0.346096i	0.948470	−	0.316868i	$-0.102631\pi$
$601$	4.89862	+	8.48465i	0.199819	+	0.346096i	−0.748651	+	0.662965i	$0.769298\pi$
$602$	−0.0105325			−0.000429274
$603$	−2.91396	−	0.713343i	−0.118665	−	0.0290496i
$604$	22.7826			0.927012
$605$	21.1843	+	36.6922i	0.861263	+	1.49175i
$606$	0.801996	−	0.342447i	0.0325788	−	0.0139110i
$607$	17.8476	−	30.9130i	0.724412	−	1.25472i	−0.234804	−	0.972043i	$-0.575445\pi$
$607$	17.8476	−	30.9130i	0.724412	−	1.25472i	0.959216	−	0.282675i	$-0.0912219\pi$
$608$	−0.0523845	+	0.0907326i	−0.00212447	+	0.00367969i
$609$	0.178567	−	0.0762472i	0.00723592	−	0.00308969i
$610$	0.597758	+	1.03535i	0.0242025	+	0.0419200i
$611$	−44.0290			−1.78122
$612$	41.7093	+	10.2105i	1.68600	+	0.412736i
$613$	−43.2395			−1.74643			−0.873214	−	0.487337i	$-0.837968\pi$
$613$	−43.2395			−1.74643			−0.873214	+	0.487337i	$0.837968\pi$
$614$	−0.0173112	−	0.0299839i	−0.000698625	−	0.00121005i
$615$	−2.34361	+	19.4296i	−0.0945033	+	0.783478i
$616$	−0.000502203	0	0.000869841i	−2.02343e−5	0	3.50469e-5i
$617$	5.15065	−	8.92118i	0.207357	−	0.359153i	−0.743524	−	0.668709i	$-0.766847\pi$
$617$	5.15065	−	8.92118i	0.207357	−	0.359153i	0.950881	+	0.309556i	$0.100180\pi$
$618$	0.503190	+	0.377501i	0.0202413	+	0.0151853i
$619$	−4.49064	−	7.77802i	−0.180494	−	0.312625i	0.761555	−	0.648101i	$-0.224436\pi$
$619$	−4.49064	−	7.77802i	−0.180494	−	0.312625i	−0.942049	+	0.335475i	$0.891103\pi$
$620$	12.3049			0.494179
$621$	−24.2723	−	29.5848i	−0.974016	−	1.18720i
$622$	−0.417556			−0.0167425
$623$	−0.169100	−	0.292889i	−0.00677483	−	0.0117344i
$624$	27.6699	+	20.7584i	1.10768	+	0.831000i
$625$	−11.5380	+	19.9844i	−0.461519	+	0.799375i
$626$	−0.0150294	+	0.0260317i	−0.000600697	+	0.00104044i
$627$	−0.00580258	+	0.0481062i	−0.000231733	+	0.00192118i
$628$	−24.4804	−	42.4013i	−0.976875	−	1.69200i
$629$	47.8972			1.90979
$630$	−0.0176195	+	0.0184020i	−0.000701979	+	0.000733153i
$631$	−18.1178			−0.721257			−0.360629	−	0.932709i	$-0.617438\pi$
$631$	−18.1178			−0.721257			−0.360629	+	0.932709i	$0.617438\pi$
$632$	0.807393	+	1.39845i	0.0321164	+	0.0556272i
$633$	−30.7480	+	13.1292i	−1.22212	+	0.521840i
$634$	−0.0118481	+	0.0205216i	−0.000470550	+	0.000815016i
$635$	−21.1816	+	36.6876i	−0.840567	+	1.45590i
$636$	−24.8229	+	10.5992i	−0.984290	+	0.420286i
$637$	17.4985	+	30.3082i	0.693314	+	1.20086i
$638$	0.00736887			0.000291736
$639$	6.36290	+	21.8381i	0.251713	+	0.863902i
$640$	4.38925			0.173501
$641$	2.65995	+	4.60717i	0.105062	+	0.181972i	0.913763	−	0.406247i	$-0.133163\pi$
$641$	2.65995	+	4.60717i	0.105062	+	0.181972i	−0.808702	+	0.588219i	$0.799829\pi$
$642$	0.119220	−	0.988390i	0.00470523	−	0.0390086i
$643$	3.56157	−	6.16882i	0.140455	−	0.243274i	−0.787213	−	0.616681i	$-0.788477\pi$
$643$	3.56157	−	6.16882i	0.140455	−	0.243274i	0.927668	+	0.373406i	$0.121810\pi$
$644$	0.454958	−	0.788011i	0.0179279	−	0.0310520i
$645$	25.5528	+	19.1701i	1.00614	+	0.754824i
$646$	−0.0312885	−	0.0541933i	−0.00123103	−	0.00213221i
$647$	30.8026			1.21097			0.605487	−	0.795855i	$-0.292978\pi$
$647$	30.8026			1.21097			0.605487	+	0.795855i	$0.292978\pi$
$648$	−1.08147	+	0.688673i	−0.0424841	+	0.0270536i
$649$	−1.68467			−0.0661289
$650$	0.879526	+	1.52338i	0.0344979	+	0.0597520i
$651$	−0.136730	−	0.102577i	−0.00535888	−	0.00402032i
$652$	−5.43876	+	9.42020i	−0.212998	+	0.368924i
$653$	−4.32809	+	7.49646i	−0.169371	+	0.293359i	−0.938199	−	0.346097i	$-0.887507\pi$
$653$	−4.32809	+	7.49646i	−0.169371	+	0.293359i	0.768828	+	0.639456i	$0.220840\pi$
$654$	−0.0717655	+	0.594970i	−0.00280625	+	0.0232652i
$655$	−15.9070	−	27.5517i	−0.621537	−	1.07653i
$656$	−11.6979			−0.456727
$657$	3.03092	+	10.4024i	0.118247	+	0.405837i
$658$	0.0193836			0.000755650
$659$	−4.00140	−	6.93063i	−0.155872	−	0.269979i	0.777504	−	0.628878i	$-0.216486\pi$
$659$	−4.00140	−	6.93063i	−0.155872	−	0.269979i	−0.933376	+	0.358899i	$0.883152\pi$
$660$	1.40034	−	0.597938i	0.0545083	−	0.0232747i
$661$	7.62548	−	13.2077i	0.296597	−	0.513721i	−0.678758	−	0.734362i	$-0.737482\pi$
$661$	7.62548	−	13.2077i	0.296597	−	0.513721i	0.975355	+	0.220641i	$0.0708149\pi$
$662$	−0.378698	+	0.655924i	−0.0147185	+	0.0254932i
$663$	−57.0633	+	24.3657i	−2.21615	+	0.946285i
$664$	0.306887	+	0.531543i	0.0119095	+	0.0206279i
$665$	−0.0584677			−0.00226728
$666$	−0.494363	+	0.516317i	−0.0191562	+	0.0200069i
$667$	−13.3555			−0.517128
$668$	−0.753479	−	1.30506i	−0.0291530	−	0.0504944i
$669$	−1.14096	+	9.45912i	−0.0441121	+	0.365711i
$670$	0.0686910	−	0.118976i	0.00265377	−	0.00459646i
$671$	−0.496271	+	0.859566i	−0.0191583	+	0.0331832i
$672$	−0.0365833	−	0.0274454i	−0.00141123	−	0.00105873i
$673$	−18.5093	−	32.0590i	−0.713480	−	1.23578i	−0.963543	−	0.267554i	$-0.913785\pi$
$673$	−18.5093	−	32.0590i	−0.713480	−	1.23578i	0.250063	−	0.968230i	$-0.419549\pi$
$674$	−0.0281605			−0.00108470
$675$	50.6054	−	8.34734i	1.94780	−	0.321289i
$676$	−24.0306			−0.924253
$677$	−20.7816	−	35.9948i	−0.798702	−	1.38339i	−0.920462	−	0.390832i	$-0.872187\pi$
$677$	−20.7816	−	35.9948i	−0.798702	−	1.38339i	0.121760	−	0.992560i	$-0.461146\pi$
$678$	−0.398292	−	0.298805i	−0.0152963	−	0.0114755i
$679$	−0.00990256	+	0.0171517i	−0.000380025	+	0.000658223i
$680$	−1.96706	+	3.40705i	−0.0754333	+	0.130654i
$681$	−2.88906	+	23.9517i	−0.110709	+	0.917829i
$682$	−0.00324354	−	0.00561798i	−0.000124202	−	0.000215124i
$683$	23.7465			0.908633			0.454316	−	0.890840i	$-0.349884\pi$
$683$	23.7465			0.908633			0.454316	+	0.890840i	$0.349884\pi$
$684$	−1.42854	−	0.349709i	−0.0546214	−	0.0133714i
$685$	63.5593			2.42848
$686$	−0.0154114	−	0.0266934i	−0.000588412	−	0.00101916i
$687$	−19.7010	+	8.41223i	−0.751642	+	0.320947i
$688$	−9.54710	+	16.5361i	−0.363980	+	0.630432i
$689$	19.5004	−	33.7757i	0.742907	−	1.28675i
$690$	1.61165	−	0.688166i	0.0613546	−	0.0261980i
$691$	24.9831	+	43.2720i	0.950403	+	1.64615i	0.744555	+	0.667562i	$0.232662\pi$
$691$	24.9831	+	43.2720i	0.950403	+	1.64615i	0.205848	+	0.978584i	$0.434005\pi$
$692$	3.79125			0.144122
$693$	−0.0205449	−	0.00502945i	−0.000780437	−	0.000191053i
$694$	−0.680294			−0.0258236
$695$	−3.90557	−	6.76465i	−0.148147	−	0.256598i
$696$	−0.0535851	+	0.444246i	−0.00203114	+	0.0168391i
$697$	10.4916	−	18.1720i	0.397397	−	0.688312i
$698$	0.542184	−	0.939091i	0.0205220	−	0.0355451i
$699$	−3.31269	−	2.48523i	−0.125297	−	0.0940001i
$700$	0.609771	+	1.05615i	0.0230472	+	0.0399189i
$701$	−15.6719			−0.591919			−0.295960	−	0.955200i	$-0.595639\pi$
$701$	−15.6719			−0.591919			−0.295960	+	0.955200i	$0.595639\pi$
$702$	0.326315	−	0.866612i	0.0123160	−	0.0327082i
$703$	−1.64047			−0.0618715
$704$	0.454493	+	0.787205i	0.0171294	+	0.0296689i
$705$	−47.0262	−	35.2798i	−1.77111	−	1.32871i
$706$	−0.0367206	+	0.0636019i	−0.00138200	+	0.00239369i
$707$	−0.436800	+	0.756559i	−0.0164275	+	0.0284533i
$708$	6.12335	−	50.7655i	0.230130	−	1.90788i
$709$	0.426337	+	0.738437i	0.0160114	+	0.0277326i	0.873920	−	0.486070i	$-0.161570\pi$
$709$	0.426337	+	0.738437i	0.0160114	+	0.0277326i	−0.857909	+	0.513802i	$0.828237\pi$
$710$	−1.04164			−0.0390920
$711$	−23.5176	+	24.5620i	−0.881979	+	0.921147i
$712$	0.779403			0.0292094
$713$	5.87868	+	10.1822i	0.220158	+	0.381326i
$714$	0.0251219	−	0.0107269i	0.000940162	−	0.000401444i
$715$	−1.10009	+	1.90541i	−0.0411409	+	0.0712581i
$716$	−3.55461	+	6.15677i	−0.132842	+	0.230089i
$717$	−19.0258	+	8.12391i	−0.710532	+	0.303393i
$718$	0.00533177	+	0.00923490i	0.000198980	+	0.000344643i
$719$	−11.6467			−0.434347			−0.217173	−	0.976133i	$-0.569684\pi$
$719$	−11.6467			−0.434347			−0.217173	+	0.976133i	$0.569684\pi$
$720$	12.9201	+	44.3429i	0.481503	+	1.65256i
$721$	−0.630171			−0.0234688
$722$	−0.337374	−	0.584349i	−0.0125558	−	0.0217472i
$723$	0.892914	−	7.40268i	0.0332078	−	0.275309i
$724$	−12.8018	+	22.1735i	−0.475777	+	0.824070i
$725$	8.95006	−	15.5020i	0.332397	−	0.575728i
$726$	0.542313	+	0.406852i	0.0201271	+	0.0150997i
$727$	−1.07624	−	1.86410i	−0.0399155	−	0.0691357i	0.845377	−	0.534169i	$-0.179376\pi$
$727$	−1.07624	−	1.86410i	−0.0399155	−	0.0691357i	−0.885293	+	0.465034i	$0.846042\pi$
$728$	0.0440509			0.00163264
$729$	−20.2944	−	17.8083i	−0.751646	−	0.659567i
$730$	−0.496177			−0.0183643
$731$	−17.1252	−	29.6616i	−0.633397	−	1.09708i
$732$	−24.0982	−	18.0789i	−0.890696	−	0.668214i
$733$	7.63678	−	13.2273i	0.282071	−	0.488561i	−0.689824	−	0.723977i	$-0.742312\pi$
$733$	7.63678	−	13.2273i	0.282071	−	0.488561i	0.971895	+	0.235416i	$0.0756454\pi$
$734$	−0.393487	+	0.681540i	−0.0145239	+	0.0251561i
$735$	−5.59590	+	46.3927i	−0.206408	+	1.71122i
$736$	1.57289	+	2.72433i	0.0579775	+	0.100420i
$737$	0.114057			0.00420136
$738$	0.0876010	+	0.300655i	0.00322464	+	0.0110673i
$739$	−41.9873			−1.54453			−0.772265	−	0.635301i	$-0.780876\pi$
$739$	−41.9873			−1.54453			−0.772265	+	0.635301i	$0.780876\pi$
$740$	25.7753	+	44.6441i	0.947518	+	1.64115i
$741$	1.95441	−	0.834520i	0.0717969	−	0.0306569i
$742$	−0.00858497	+	0.0148696i	−0.000315164	+	0.000545880i
$743$	15.8808	−	27.5064i	0.582611	−	1.00911i	−0.412558	−	0.910931i	$-0.635365\pi$
$743$	15.8808	−	27.5064i	0.582611	−	1.00911i	0.995169	−	0.0981802i	$-0.0313022\pi$
$744$	0.362277	−	0.154690i	0.0132817	−	0.00567122i
$745$	26.4833	+	45.8704i	0.970272	+	1.68056i
$746$	0.600153			0.0219732
$747$	−8.93894	+	9.33591i	−0.327059	+	0.341583i
$748$	−1.63258			−0.0596929
$749$	0.498663	+	0.863709i	0.0182207	+	0.0315592i
$750$	−0.138790	+	1.15064i	−0.00506790	+	0.0420153i
$751$	−17.9178	+	31.0345i	−0.653830	+	1.13247i	0.328356	+	0.944554i	$0.393505\pi$
$751$	−17.9178	+	31.0345i	−0.653830	+	1.13247i	−0.982186	+	0.187912i	$0.939828\pi$
$752$	17.5700	−	30.4322i	0.640713	−	1.10975i
$753$	35.8042	+	26.8608i	1.30478	+	0.978864i
$754$	−0.161591	−	0.279883i	−0.00588478	−	0.0101927i
$755$	−43.9556			−1.59971
$756$	0.226233	−	0.600818i	0.00822800	−	0.0218515i
$757$	−11.2880			−0.410269			−0.205134	−	0.978734i	$-0.565763\pi$
$757$	−11.2880			−0.410269			−0.205134	+	0.978734i	$0.565763\pi$
$758$	−0.328927	−	0.569718i	−0.0119472	−	0.0206931i
$759$	1.16380	+	0.873100i	0.0422432	+	0.0316915i
$760$	0.0673715	−	0.116691i	0.00244382	−	0.00423282i
$761$	5.43268	−	9.40968i	0.196935	−	0.341101i	−0.750598	−	0.660759i	$-0.770235\pi$
$761$	5.43268	−	9.40968i	0.196935	−	0.341101i	0.947533	+	0.319658i	$0.103568\pi$
$762$	−0.0811774	+	0.672999i	−0.00294075	+	0.0243802i
$763$	−0.300174	−	0.519917i	−0.0108670	−	0.0188223i
$764$	−49.3067			−1.78385
$765$	−80.4717	−	19.6997i	−2.90946	−	0.712242i
$766$	0.373976			0.0135123
$767$	36.9428	+	63.9867i	1.33393	+	2.31043i
$768$	−25.3250	+	10.8136i	−0.913839	+	0.390204i
$769$	3.48659	−	6.03895i	0.125730	−	0.217770i	−0.796288	−	0.604917i	$-0.793206\pi$
$769$	3.48659	−	6.03895i	0.125730	−	0.217770i	0.922018	+	0.387147i	$0.126540\pi$
$770$	0.000484308	0	0.000838846i	1.74532e−5	0	3.02299e-5i
$771$	−36.8172	+	15.7207i	−1.32594	+	0.566168i
$772$	−22.1954	−	38.4435i	−0.798828	−	1.38361i
$773$	8.42357			0.302975			0.151487	−	0.988459i	$-0.451594\pi$
$773$	8.42357			0.302975			0.151487	+	0.988459i	$0.451594\pi$
$774$	0.496498	+	0.121544i	0.0178463	+	0.00436881i
$775$	−15.7581			−0.566049
$776$	−0.0228211	−	0.0395274i	−0.000819231	−	0.00141895i
$777$	0.0857546	−	0.710946i	0.00307643	−	0.0255051i
$778$	0.119109	−	0.206303i	0.00427026	−	0.00739631i
$779$	−0.359335	+	0.622386i	−0.0128745	+	0.0222993i
$780$	−53.4187	−	40.0756i	−1.91270	−	1.43493i
$781$	−0.432395	−	0.748930i	−0.0154723	−	0.0267988i
$782$	−1.87893			−0.0671903
$783$	−9.29746	+	1.53361i	−0.332264	+	0.0548069i
$784$	−27.9314			−0.997552
$785$	47.2312	+	81.8069i	1.68575	+	2.91981i
$786$	−0.407215	−	0.305499i	−0.0145249	−	0.0108968i
$787$	−15.0818	+	26.1224i	−0.537607	+	0.931163i	0.461425	+	0.887179i	$0.347338\pi$
$787$	−15.0818	+	26.1224i	−0.537607	+	0.931163i	−0.999032	+	0.0439835i	$0.985995\pi$
$788$	−3.41209	+	5.90992i	−0.121551	+	0.210532i
$789$	−1.74283	+	14.4489i	−0.0620463	+	0.514393i
$790$	−0.778623	−	1.34861i	−0.0277022	−	0.0479815i
$791$	0.498803			0.0177354
$792$	0.0337114	−	0.0352085i	0.00119788	−	0.00125108i
$793$	43.5305			1.54581
$794$	0.306569	+	0.530992i	0.0108797	+	0.0188442i
$795$	47.8919	−	20.4495i	1.69855	−	0.725271i
$796$	9.80877	−	16.9893i	0.347663	−	0.602169i
$797$	14.2509	−	24.6832i	0.504791	−	0.874324i	−0.495193	−	0.868783i	$-0.664903\pi$
$797$	14.2509	−	24.6832i	0.504791	−	0.874324i	0.999985	−	0.00554150i	$-0.00176392\pi$
$798$	−0.000860419	0	0.000367394i	−3.04585e−5	0	1.30056e-5i
$799$	31.5163	+	54.5878i	1.11497	+	1.93118i
$800$	−4.21622			−0.149066
$801$	4.59137	+	15.7580i	0.162228	+	0.556783i
$802$	0.167277			0.00590677
$803$	−0.205968	−	0.356747i	−0.00726846	−	0.0125893i
$804$	−0.414571	+	3.43699i	−0.0146208	+	0.121213i
$805$	−0.877772	+	1.52035i	−0.0309374	+	0.0535852i
$806$	−0.142254	+	0.246392i	−0.00501069	+	0.00867878i
$807$	−9.71872	−	7.29114i	−0.342115	−	0.256660i
$808$	−1.00663	−	1.74354i	−0.0354133	−	0.0613376i
$809$	−10.4857			−0.368658			−0.184329	−	0.982865i	$-0.559011\pi$
$809$	−10.4857			−0.368658			−0.184329	+	0.982865i	$0.559011\pi$
$810$	1.04293	−	0.664134i	0.0366449	−	0.0233353i
$811$	−8.28613			−0.290965			−0.145483	−	0.989361i	$-0.546474\pi$
$811$	−8.28613			−0.290965			−0.145483	+	0.989361i	$0.546474\pi$
$812$	−0.112030	−	0.194042i	−0.00393148	−	0.00680953i
$813$	−22.1904	−	16.6476i	−0.778252	−	0.583857i
$814$	0.0135886	−	0.0235361i	0.000476279	−	0.000824939i
$815$	10.4932	−	18.1748i	0.367562	−	0.636637i
$816$	5.93024	−	49.1646i	0.207600	−	1.72110i
$817$	0.586533	+	1.01591i	0.0205202	+	0.0355420i
$818$	0.560519			0.0195981
$819$	0.259499	+	0.890624i	0.00906762	+	0.0311209i
$820$	22.5837			0.788656
$821$	−17.9368	−	31.0675i	−0.626000	−	1.08426i	−0.988347	−	0.152220i	$-0.951358\pi$
$821$	−17.9368	−	31.0675i	−0.626000	−	1.08426i	0.362347	−	0.932043i	$-0.381975\pi$
$822$	0.935346	−	0.399387i	0.0326240	−	0.0139302i
$823$	2.89804	−	5.01956i	0.101019	−	0.174971i	−0.811085	−	0.584928i	$-0.801123\pi$
$823$	2.89804	−	5.01956i	0.101019	−	0.174971i	0.912105	+	0.409957i	$0.134456\pi$
$824$	0.726136	−	1.25771i	0.0252962	−	0.0438142i
$825$	−1.79333	+	0.765741i	−0.0624357	+	0.0266597i
$826$	−0.0162639	−	0.0281699i	−0.000565893	−	0.000980155i
$827$	−30.0557			−1.04514			−0.522570	−	0.852596i	$-0.675027\pi$
$827$	−30.0557			−1.04514			−0.522570	+	0.852596i	$0.675027\pi$
$828$	−30.5400	+	31.8963i	−1.06134	+	1.10847i
$829$	−20.9830			−0.728771			−0.364385	−	0.931248i	$-0.618721\pi$
$829$	−20.9830			−0.728771			−0.364385	+	0.931248i	$0.618721\pi$
$830$	−0.295951	−	0.512603i	−0.0102726	−	0.0177927i
$831$	−5.40940	+	44.8465i	−0.187650	+	1.55571i
$832$	19.9330	−	34.5250i	0.691053	−	1.19694i
$833$	25.0511	−	43.3897i	0.867968	−	1.50337i
$834$	−0.0999819	−	0.0750080i	−0.00346209	−	0.00259731i
$835$	1.45372	+	2.51792i	0.0503081	+	0.0871362i
$836$	0.0559154			0.00193387
$837$	5.26167	+	6.41329i	0.181870	+	0.221676i
$838$	0.301043			0.0103994
$839$	9.46492	+	16.3937i	0.326765	+	0.565974i	0.981868	−	0.189566i	$-0.0607080\pi$
$839$	9.46492	+	16.3937i	0.326765	+	0.565974i	−0.655103	+	0.755540i	$0.727375\pi$
$840$	0.0470496	+	0.0352974i	0.00162337	+	0.00121787i
$841$	12.8557	−	22.2666i	0.443298	−	0.767815i
$842$	0.492756	−	0.853479i	0.0169815	−	0.0294128i
$843$	−5.75212	+	47.6878i	−0.198113	+	1.64245i
$844$	19.2907	+	33.4125i	0.664015	+	1.15011i
$845$	46.3633			1.59495
$846$	−0.913731	−	0.223683i	−0.0314147	−	0.00769040i
$847$	−0.679168			−0.0233365
$848$	15.5635	+	26.9568i	0.534453	+	0.925700i
$849$	−20.1863	+	8.61942i	−0.692791	+	0.295818i
$850$	1.25914	−	2.18090i	0.0431883	−	0.0748043i
$851$	−24.6282	+	42.6574i	−0.844246	+	1.46228i
$852$	24.1398	−	10.3076i	0.827017	−	0.353131i
$853$	−19.3902	−	33.5848i	−0.663907	−	1.14992i	−0.979580	−	0.201053i	$-0.935564\pi$
$853$	−19.3902	−	33.5848i	−0.663907	−	1.14992i	0.315673	−	0.948868i	$-0.397770\pi$
$854$	−0.0191641			−0.000655783
$855$	2.75614	+	0.674709i	0.0942580	+	0.0230746i
$856$	−2.29840			−0.0785578
$857$	−20.9476	−	36.2823i	−0.715556	−	1.23938i	−0.962745	−	0.270412i	$-0.912840\pi$
$857$	−20.9476	−	36.2823i	−0.715556	−	1.23938i	0.247189	−	0.968967i	$-0.420493\pi$
$858$	−0.00421602	+	0.0349528i	−0.000143932	+	0.00119327i
$859$	19.0526	−	33.0000i	0.650066	−	1.12595i	−0.333041	−	0.942912i	$-0.608075\pi$
$859$	19.0526	−	33.0000i	0.650066	−	1.12595i	0.983107	−	0.183034i	$-0.0585919\pi$
$860$	18.4314	−	31.9241i	0.628505	−	1.08860i
$861$	−0.250946	−	0.188263i	−0.00855220	−	0.00641600i
$862$	−0.556351	−	0.963628i	−0.0189494	−	0.0328213i
$863$	36.5946			1.24570			0.622848	−	0.782343i	$-0.285976\pi$
$863$	36.5946			1.24570			0.622848	+	0.782343i	$0.285976\pi$
$864$	1.40780	+	1.71593i	0.0478944	+	0.0583770i
$865$	−7.31463			−0.248705
$866$	0.163730	+	0.283589i	0.00556378	+	0.00963675i
$867$	47.5019	+	35.6367i	1.61325	+	1.21028i
$868$	−0.0986242	+	0.170822i	−0.00334752	+	0.00579808i
$869$	0.646428	−	1.11965i	0.0219286	−	0.0379814i
$870$	0.0516757	−	0.428416i	0.00175197	−	0.0145247i
$871$	−2.50115	−	4.33211i	−0.0847481	−	0.146788i
$872$	1.38354			0.0468527
$873$	0.664730	−	0.694250i	0.0224977	−	0.0234968i
$874$	0.0643529			0.00217677
$875$	−0.580519	−	1.00549i	−0.0196251	−	0.0339917i
$876$	11.4988	−	4.90993i	0.388509	−	0.165891i
$877$	7.38850	−	12.7973i	0.249492	−	0.432133i	−0.713893	−	0.700255i	$-0.753070\pi$
$877$	7.38850	−	12.7973i	0.249492	−	0.432133i	0.963385	+	0.268122i	$0.0864031\pi$
$878$	0.354889	−	0.614686i	0.0119769	−	0.0207447i
$879$	−13.8816	+	5.92737i	−0.468216	+	0.199925i
$880$	−0.877992	−	1.52073i	−0.0295971	−	0.0512637i
$881$	29.0269			0.977943			0.488971	−	0.872300i	$-0.337372\pi$
$881$	29.0269			0.977943			0.488971	+	0.872300i	$0.337372\pi$
$882$	0.209168	+	0.717883i	0.00704304	+	0.0241724i
$883$	28.5035			0.959219			0.479610	−	0.877482i	$-0.340778\pi$
$883$	28.5035			0.959219			0.479610	+	0.877482i	$0.340778\pi$
$884$	35.8005	+	62.0082i	1.20410	+	2.08556i
$885$	−11.8141	+	97.9443i	−0.397125	+	3.29236i
$886$	0.348759	−	0.604069i	0.0117168	−	0.0202941i
$887$	23.9244	−	41.4383i	0.803302	−	1.39136i	−0.114129	−	0.993466i	$-0.536408\pi$
$887$	23.9244	−	41.4383i	0.803302	−	1.39136i	0.917431	−	0.397895i	$-0.130259\pi$
$888$	1.32010	+	0.990362i	0.0442998	+	0.0332344i
$889$	−0.339542	−	0.588103i	−0.0113879	−	0.0197244i
$890$	−0.751631			−0.0251947
$891$	0.910438	+	0.474171i	0.0305008	+	0.0158853i
$892$	10.9946			0.368128
$893$	−1.07943	−	1.86962i	−0.0361217	−	0.0625646i
$894$	0.677967	+	0.508621i	0.0226746	+	0.0170108i
$895$	6.85808	−	11.8785i	0.229240	−	0.397056i
$896$	−0.0351799	+	0.0609334i	−0.00117528	+	0.00203564i
$897$	7.64122	−	63.3493i	0.255133	−	2.11517i
$898$	0.268375	+	0.464839i	0.00895579	+	0.0155119i
$899$	2.89516			0.0965590
$900$	−16.5564	−	56.8232i	−0.551881	−	1.89411i
$901$	−55.8342			−1.86011
$902$	−0.00595298	−	0.0103109i	−0.000198213	−	0.000343314i
$903$	−0.470934	+	0.201086i	−0.0156717	+	0.00669172i
$904$	−0.574762	+	0.995518i	−0.0191163	+	0.0331104i
$905$	24.6992	−	42.7803i	0.821029	−	1.42206i
$906$	−0.646856	+	0.276203i	−0.0214903	+	0.00917625i
$907$	−1.74917	−	3.02966i	−0.0580804	−	0.100598i	0.835523	−	0.549455i	$-0.185165\pi$
$907$	−1.74917	−	3.02966i	−0.0580804	−	0.100598i	−0.893604	+	0.448857i	$0.851831\pi$
$908$	27.8398			0.923896
$909$	29.3211	−	30.6232i	0.972519	−	1.01571i
$910$	−0.0424812			−0.00140824
$911$	−12.6742	−	21.9523i	−0.419915	−	0.727313i	0.576016	−	0.817439i	$-0.304607\pi$
$911$	−12.6742	−	21.9523i	−0.419915	−	0.727313i	−0.995930	+	0.0901251i	$0.971273\pi$
$912$	−0.203110	+	1.68388i	−0.00672564	+	0.0557587i
$913$	0.245705	−	0.425573i	0.00813164	−	0.0140844i
$914$	−0.331693	+	0.574509i	−0.0109714	+	0.0190031i
$915$	46.4938	+	34.8804i	1.53704	+	1.15311i
$916$	12.3601	+	21.4083i	0.408389	+	0.707350i
$917$	0.509978			0.0168410
$918$	−1.30802	+	0.215757i	−0.0431710	+	0.00712105i
$919$	−40.6279			−1.34019			−0.670096	−	0.742275i	$-0.733747\pi$
$919$	−40.6279			−1.34019			−0.670096	+	0.742275i	$0.733747\pi$
$920$	−2.02289	−	3.50374i	−0.0666926	−	0.115515i
$921$	−1.34647	−	1.01015i	−0.0443678	−	0.0332855i
$922$	0.331845	−	0.574773i	0.0109287	−	0.0189291i
$923$	−18.9638	+	32.8463i	−0.624202	+	1.08115i
$924$	−0.00292294	+	0.0242326i	−9.61578e−5	+	0.000797194i
$925$	−33.0087	−	57.1728i	−1.08532	−	1.87983i
$926$	−0.524503			−0.0172362
$927$	29.7060	+	7.27209i	0.975672	+	0.238847i
$928$	0.774624			0.0254283
$929$	21.5055	+	37.2486i	0.705572	+	1.22209i	0.966485	+	0.256724i	$0.0826431\pi$
$929$	21.5055	+	37.2486i	0.705572	+	1.22209i	−0.260913	+	0.965362i	$0.584024\pi$
$930$	−0.349368	+	0.149178i	−0.0114562	+	0.00489174i
$931$	−0.857995	+	1.48609i	−0.0281196	+	0.0487046i
$932$	−2.38946	+	4.13866i	−0.0782693	+	0.135566i
$933$	−18.6699	+	7.97192i	−0.611224	+	0.260989i
$934$	0.0956513	+	0.165673i	0.00312981	+	0.00542098i
$935$	3.14980			0.103010
$936$	−2.07654	−	0.508341i	−0.0678737	−	0.0166156i
$937$	−41.8319			−1.36659			−0.683294	−	0.730143i	$-0.739453\pi$
$937$	−41.8319			−1.36659			−0.683294	+	0.730143i	$0.739453\pi$
$938$	0.00110112	+	0.00190719i	3.59528e−5	+	6.22720e-5i
$939$	−0.175005	+	1.45088i	−0.00571108	+	0.0473476i
$940$	−33.9202	+	58.7515i	−1.10636	+	1.91626i
$941$	−17.8239	+	30.8719i	−0.581043	+	1.00640i	0.414313	+	0.910134i	$0.364022\pi$
$941$	−17.8239	+	30.8719i	−0.581043	+	1.00640i	−0.995356	+	0.0962615i	$0.969311\pi$
$942$	1.20911	+	0.907094i	0.0393949	+	0.0295547i
$943$	10.7893	+	18.6877i	0.351349	+	0.608555i
$944$	−58.9689			−1.91927
$945$	−0.436481	+	1.15918i	−0.0141987	+	0.0377083i
$946$	−0.0194338			−0.000631848
$947$	−1.00531	−	1.74126i	−0.0326683	−	0.0565832i	0.849229	−	0.528025i	$-0.177067\pi$
$947$	−1.00531	−	1.74126i	−0.0326683	−	0.0565832i	−0.881897	+	0.471442i	$0.843734\pi$
$948$	31.3897	+	23.5490i	1.01949	+	0.764837i
$949$	−9.03328	+	15.6461i	−0.293233	+	0.507894i
$950$	−0.0431254	+	0.0746954i	−0.00139917	+	0.00242344i
$951$	−0.137962	+	1.14377i	−0.00447372	+	0.0370893i
$952$	−0.0315320	−	0.0546150i	−0.00102196	−	0.00177008i
$953$	−34.2254			−1.10867			−0.554334	−	0.832294i	$-0.687027\pi$
$953$	−34.2254			−1.10867			−0.554334	+	0.832294i	$0.687027\pi$
$954$	0.576284	−	0.601876i	0.0186579	−	0.0194865i
$955$	95.1296			3.07832
$956$	11.9365	+	20.6745i	0.386052	+	0.668663i
$957$	0.329479	−	0.140685i	0.0106505	−	0.00454771i
$958$	0.0976022	−	0.169052i	0.00315338	−	0.00546182i
$959$	−0.509428	+	0.882355i	−0.0164503	+	0.0284927i
$960$	48.9543	−	20.9032i	1.57999	−	0.674648i
$961$	14.2256	+	24.6395i	0.458892	+	0.794824i
$962$	−1.19193			−0.0384292
$963$	−13.5396	−	46.4693i	−0.436308	−	1.49745i
$964$	−8.60437			−0.277128
$965$	42.8225	+	74.1708i	1.37851	+	2.38764i
$966$	−0.00336401	+	0.0278893i	−0.000108235	+	0.000897322i
$967$	−15.2132	+	26.3500i	−0.489224	+	0.847360i	−0.999923	−	0.0123992i	$-0.996053\pi$
$967$	−15.2132	+	26.3500i	−0.489224	+	0.847360i	0.510700	+	0.859759i	$0.329386\pi$
$968$	0.782594	−	1.35549i	0.0251535	−	0.0435672i
$969$	−2.43363	−	1.82575i	−0.0781795	−	0.0586515i
$970$	0.0220079	+	0.0381189i	0.000706632	+	0.00122392i
$971$	−22.0983			−0.709167			−0.354584	−	0.935024i	$-0.615377\pi$
$971$	−22.0983			−0.709167			−0.354584	+	0.935024i	$0.615377\pi$
$972$	−17.5978	+	25.7115i	−0.564451	+	0.824698i
$973$	0.125213			0.00401413
$974$	0.533225	+	0.923574i	0.0170856	+	0.0295932i
$975$	68.4099	+	51.3222i	2.19087	+	1.64362i
$976$	−17.3711	+	30.0877i	−0.556036	+	0.963082i
$977$	23.2246	−	40.2262i	0.743022	−	1.28695i	−0.208091	−	0.978109i	$-0.566725\pi$
$977$	23.2246	−	40.2262i	0.743022	−	1.28695i	0.951113	−	0.308842i	$-0.0999415\pi$
$978$	0.0402148	−	0.333400i	0.00128593	−	0.0106609i
$979$	−0.312010	−	0.540416i	−0.00997187	−	0.0172718i
$980$	53.9237			1.72253
$981$	8.15030	+	27.9726i	0.260219	+	0.893097i
$982$	−0.666211			−0.0212597
$983$	−23.8004	−	41.2236i	−0.759116	−	1.31483i	−0.943302	−	0.331936i	$-0.892298\pi$
$983$	−23.8004	−	41.2236i	−0.759116	−	1.31483i	0.184186	−	0.982891i	$-0.441035\pi$
$984$	0.664899	−	0.283908i	0.0211962	−	0.00905066i
$985$	6.58311	−	11.4023i	0.209755	−	0.363307i
$986$	−0.231336	+	0.400685i	−0.00736723	+	0.0127604i
$987$	0.866683	−	0.370069i	0.0275868	−	0.0117794i
$988$	−1.22616	−	2.12377i	−0.0390093	−	0.0675661i
$989$	35.2223			1.12001
$990$	−0.0325102	+	0.0339539i	−0.00103324	+	0.00107913i
$991$	−30.4534			−0.967385			−0.483692	−	0.875238i	$-0.660705\pi$
$991$	−30.4534			−0.967385			−0.483692	+	0.875238i	$0.660705\pi$
$992$	−0.340965	−	0.590569i	−0.0108257	−	0.0187506i
$993$	−4.40963	+	36.5579i	−0.139935	+	1.16013i
$994$	0.00834875	−	0.0144605i	0.000264806	−	0.000458658i
$995$	−18.9245	+	32.7782i	−0.599947	+	1.03914i
$996$	11.9311	+	8.95089i	0.378051	+	0.283620i
$997$	20.0791	+	34.7780i	0.635912	+	1.10143i	0.986321	+	0.164835i	$0.0527091\pi$
$997$	20.0791	+	34.7780i	0.635912	+	1.10143i	−0.350409	+	0.936597i	$0.613958\pi$
$998$	−0.181249			−0.00573734
$999$	−12.2466	+	32.5240i	−0.387467	+	1.02902i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	603.2.e.a.202.18	✓	66
9.4	even	3		5427.2.a.p.1.16		33
9.5	odd	6		5427.2.a.o.1.18		33
9.7	even	3	inner	603.2.e.a.403.18	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
603.2.e.a.202.18	✓	66	1.1	even	1	trivial
603.2.e.a.403.18	yes	66	9.7	even	3	inner
5427.2.a.o.1.18		33	9.5	odd	6
5427.2.a.p.1.16		33	9.4	even	3

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:	\( N \)	\(=\)	\( 603 = 3^{2} \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	603.e (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0178129 + 0.0308529i) q^{2} +(1.38550 + 1.03942i) q^{3} +(0.999365 - 1.73095i) q^{4} +(-1.92812 + 3.33960i) q^{5} +(-0.00738942 + 0.0612618i) q^{6} +(-0.0309078 - 0.0535339i) q^{7} +0.142458 q^{8} +(0.839205 + 2.88023i) q^{9} +O(q^{10})\)	\(q+(0.0178129 + 0.0308529i) q^{2} +(1.38550 + 1.03942i) q^{3} +(0.999365 - 1.73095i) q^{4} +(-1.92812 + 3.33960i) q^{5} +(-0.00738942 + 0.0612618i) q^{6} +(-0.0309078 - 0.0535339i) q^{7} +0.142458 q^{8} +(0.839205 + 2.88023i) q^{9} -0.137382 q^{10} +(-0.0570287 - 0.0987766i) q^{11} +(3.18381 - 1.35947i) q^{12} +(-2.50115 + 4.33211i) q^{13} +(0.00110112 - 0.00190719i) q^{14} +(-6.14267 + 2.62288i) q^{15} +(-1.99619 - 3.45751i) q^{16} +7.16136 q^{17} +(-0.0739148 + 0.0771973i) q^{18} -0.245275 q^{19} +(3.85380 + 6.67497i) q^{20} +(0.0128216 - 0.106297i) q^{21} +(0.00203170 - 0.00351900i) q^{22} +(-3.68230 + 6.37793i) q^{23} +(0.197376 + 0.148074i) q^{24} +(-4.93531 - 8.54820i) q^{25} -0.178211 q^{26} +(-1.83106 + 4.86284i) q^{27} -0.123553 q^{28} +(0.906738 + 1.57052i) q^{29} +(-0.190342 - 0.142798i) q^{30} +(0.798235 - 1.38258i) q^{31} +(0.213574 - 0.369922i) q^{32} +(0.0236574 - 0.196132i) q^{33} +(0.127565 + 0.220949i) q^{34} +0.238376 q^{35} +(5.82421 + 1.42578i) q^{36} +6.68828 q^{37} +(-0.00436907 - 0.00756746i) q^{38} +(-7.96822 + 3.40238i) q^{39} +(-0.274677 + 0.475754i) q^{40} +(1.46503 - 2.53750i) q^{41} +(0.00350797 - 0.00149788i) q^{42} +(-2.39133 - 4.14190i) q^{43} -0.227970 q^{44} +(-11.2369 - 2.75083i) q^{45} -0.262370 q^{46} +(4.40088 + 7.62255i) q^{47} +(0.828089 - 6.86525i) q^{48} +(3.49809 - 6.05887i) q^{49} +(0.175825 - 0.304537i) q^{50} +(9.92204 + 7.44367i) q^{51} +(4.99912 + 8.65872i) q^{52} -7.79660 q^{53} +(-0.182649 + 0.0301280i) q^{54} +0.439833 q^{55} +(-0.00440307 - 0.00762635i) q^{56} +(-0.339828 - 0.254944i) q^{57} +(-0.0323033 + 0.0559510i) q^{58} +(7.38517 - 12.7915i) q^{59} +(-1.59869 + 13.2539i) q^{60} +(-4.35106 - 7.53626i) q^{61} +0.0568757 q^{62} +(0.128252 - 0.133948i) q^{63} -7.96956 q^{64} +(-9.64503 - 16.7057i) q^{65} +(0.00647264 - 0.00276378i) q^{66} +(-0.500000 + 0.866025i) q^{67} +(7.15682 - 12.3960i) q^{68} +(-11.7312 + 5.00914i) q^{69} +(0.00424618 + 0.00735460i) q^{70} +7.58206 q^{71} +(0.119552 + 0.410313i) q^{72} +3.61166 q^{73} +(0.119138 + 0.206353i) q^{74} +(2.04733 - 16.9734i) q^{75} +(-0.245120 + 0.424560i) q^{76} +(-0.00352526 + 0.00610593i) q^{77} +(-0.246911 - 0.185236i) q^{78} +(5.66757 + 9.81652i) q^{79} +15.3956 q^{80} +(-7.59147 + 4.83421i) q^{81} +0.104386 q^{82} +(2.15422 + 3.73122i) q^{83} +(-0.171182 - 0.128423i) q^{84} +(-13.8080 + 23.9161i) q^{85} +(0.0851931 - 0.147559i) q^{86} +(-0.376146 + 3.11843i) q^{87} +(-0.00812421 - 0.0140715i) q^{88} +5.47110 q^{89} +(-0.115292 - 0.395692i) q^{90} +0.309220 q^{91} +(7.35993 + 12.7478i) q^{92} +(2.54304 - 1.08586i) q^{93} +(-0.156785 + 0.271560i) q^{94} +(0.472921 - 0.819122i) q^{95} +(0.680412 - 0.290532i) q^{96} +(-0.160195 - 0.277466i) q^{97} +0.249245 q^{98} +(0.236641 - 0.247150i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9}+O(q^{10}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9	\( 66 q - 7 q^{2} - 33 q^{4} - 18 q^{5} - 3 q^{6} + 36 q^{8} + 4 q^{9} - 8 q^{11} + q^{12} - 7 q^{14} + 3 q^{15} - 33 q^{16} + 66 q^{17} - 11 q^{18} - 29 q^{20} + q^{21} - 17 q^{23} + 47 q^{24} - 33 q^{25} + 60 q^{26} - 21 q^{27} - 54 q^{28} - 39 q^{29} - 34 q^{30} - 53 q^{32} + 8 q^{33} - 6 q^{34} + 62 q^{35} - 35 q^{36} + 24 q^{37} - 30 q^{38} - 5 q^{39} - 6 q^{40} - 38 q^{41} + 65 q^{42} + 22 q^{44} - 9 q^{45} + 12 q^{46} - 58 q^{47} - 59 q^{48} - 33 q^{49} - 31 q^{50} + 26 q^{51} + 9 q^{52} + 128 q^{53} - 22 q^{54} - 36 q^{55} - 32 q^{56} - 34 q^{57} + 3 q^{58} - 39 q^{59} + 127 q^{60} + 138 q^{62} - 35 q^{63} + 132 q^{64} - 28 q^{65} - 94 q^{66} - 33 q^{67} - 62 q^{68} + 60 q^{69} - 6 q^{70} + 42 q^{71} - 34 q^{72} - 25 q^{74} + 55 q^{75} - 6 q^{76} - 91 q^{77} + 125 q^{78} + 116 q^{80} - 90 q^{82} - 61 q^{83} - 26 q^{84} + 15 q^{85} - 47 q^{86} - q^{87} - 12 q^{88} + 110 q^{89} - 91 q^{90} + 36 q^{91} - 41 q^{92} - 11 q^{93} - 21 q^{94} - 6 q^{95} + 80 q^{96} - 12 q^{97} + 80 q^{98} - 38 q^{99}+O(q^{100}) \) 66 * q - 7 * q^2 - 33 * q^4 - 18 * q^5 - 3 * q^6 + 36 * q^8 + 4 * q^9 - 8 * q^11 + q^12 - 7 * q^14 + 3 * q^15 - 33 * q^16 + 66 * q^17 - 11 * q^18 - 29 * q^20 + q^21 - 17 * q^23 + 47 * q^24 - 33 * q^25 + 60 * q^26 - 21 * q^27 - 54 * q^28 - 39 * q^29 - 34 * q^30 - 53 * q^32 + 8 * q^33 - 6 * q^34 + 62 * q^35 - 35 * q^36 + 24 * q^37 - 30 * q^38 - 5 * q^39 - 6 * q^40 - 38 * q^41 + 65 * q^42 + 22 * q^44 - 9 * q^45 + 12 * q^46 - 58 * q^47 - 59 * q^48 - 33 * q^49 - 31 * q^50 + 26 * q^51 + 9 * q^52 + 128 * q^53 - 22 * q^54 - 36 * q^55 - 32 * q^56 - 34 * q^57 + 3 * q^58 - 39 * q^59 + 127 * q^60 + 138 * q^62 - 35 * q^63 + 132 * q^64 - 28 * q^65 - 94 * q^66 - 33 * q^67 - 62 * q^68 + 60 * q^69 - 6 * q^70 + 42 * q^71 - 34 * q^72 - 25 * q^74 + 55 * q^75 - 6 * q^76 - 91 * q^77 + 125 * q^78 + 116 * q^80 - 90 * q^82 - 61 * q^83 - 26 * q^84 + 15 * q^85 - 47 * q^86 - q^87 - 12 * q^88 + 110 * q^89 - 91 * q^90 + 36 * q^91 - 41 * q^92 - 11 * q^93 - 21 * q^94 - 6 * q^95 + 80 * q^96 - 12 * q^97 + 80 * q^98 - 38 * q^99

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