LMFDB - Embedded newform 595.2.i.i.256.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [595,2,Mod(86,595)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(595, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 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("595.86");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 595 = 5 \cdot 7 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	595.i (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:	$4.75109892027$
Analytic rank:	$0$
Dimension:	$14$
Relative dimension:	$7$ over $\Q(\zeta_{3})$
Coefficient field:	$\mathbb{Q}[x]/(x^{14} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{14} - x^{13} + 9 x^{12} - 2 x^{11} + 49 x^{10} - 5 x^{9} + 150 x^{8} + 33 x^{7} + 309 x^{6} + \cdots + 4 $ x^14 - x^13 + 9x^12 - 2x^11 + 49x^10 - 5x^9 + 150x^8 + 33x^7 + 309x^6 + 66x^5 + 335x^4 + 155x^3 + 215x^2 + 30x + 4
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			256.3
Root			$-0.442527 - 0.766480i$ of defining polynomial
Character	$\chi$	$=$	595.256
Dual form			595.2.i.i.86.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.442527 - 0.766480i) q^{2} +(-0.298260 + 0.516601i) q^{3} +(0.608339 - 1.05367i) q^{4} +(-0.500000 - 0.866025i) q^{5} +0.527952 q^{6} +(1.85483 - 1.88669i) q^{7} -2.84694 q^{8} +(1.32208 + 2.28991i) q^{9} +O(q^{10})$	\(q+(-0.442527 - 0.766480i) q^{2} +(-0.298260 + 0.516601i) q^{3} +(0.608339 - 1.05367i) q^{4} +(-0.500000 - 0.866025i) q^{5} +0.527952 q^{6} +(1.85483 - 1.88669i) q^{7} -2.84694 q^{8} +(1.32208 + 2.28991i) q^{9} +(-0.442527 + 0.766480i) q^{10} +(1.13704 - 1.96941i) q^{11} +(0.362886 + 0.628538i) q^{12} +3.72520 q^{13} +(-2.26692 - 0.586781i) q^{14} +0.596520 q^{15} +(0.0431675 + 0.0747684i) q^{16} +(-0.500000 + 0.866025i) q^{17} +(1.17011 - 2.02670i) q^{18} +(-3.63843 - 6.30194i) q^{19} -1.21668 q^{20} +(0.421443 + 1.52093i) q^{21} -2.01268 q^{22} +(2.16553 + 3.75080i) q^{23} +(0.849126 - 1.47073i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-1.64850 - 2.85529i) q^{26} -3.36685 q^{27} +(-0.859588 - 3.10214i) q^{28} -4.04418 q^{29} +(-0.263976 - 0.457220i) q^{30} +(4.91626 - 8.51521i) q^{31} +(-2.80873 + 4.86486i) q^{32} +(0.678265 + 1.17479i) q^{33} +0.885054 q^{34} +(-2.56134 - 0.662989i) q^{35} +3.21710 q^{36} +(-2.66996 - 4.62451i) q^{37} +(-3.22021 + 5.57756i) q^{38} +(-1.11108 + 1.92444i) q^{39} +(1.42347 + 2.46552i) q^{40} +8.45691 q^{41} +(0.979263 - 0.996081i) q^{42} -10.7575 q^{43} +(-1.38341 - 2.39614i) q^{44} +(1.32208 - 2.28991i) q^{45} +(1.91661 - 3.31966i) q^{46} +(1.93025 + 3.34329i) q^{47} -0.0515006 q^{48} +(-0.119186 - 6.99899i) q^{49} +0.885054 q^{50} +(-0.298260 - 0.516601i) q^{51} +(2.26619 - 3.92515i) q^{52} +(-1.25070 + 2.16628i) q^{53} +(1.48992 + 2.58063i) q^{54} -2.27408 q^{55} +(-5.28059 + 5.37128i) q^{56} +4.34079 q^{57} +(1.78966 + 3.09978i) q^{58} +(7.03579 - 12.1864i) q^{59} +(0.362886 - 0.628538i) q^{60} +(1.27764 + 2.21294i) q^{61} -8.70231 q^{62} +(6.77260 + 1.75305i) q^{63} +5.14443 q^{64} +(-1.86260 - 3.22612i) q^{65} +(0.600302 - 1.03975i) q^{66} +(3.12279 - 5.40883i) q^{67} +(0.608339 + 1.05367i) q^{68} -2.58356 q^{69} +(0.625294 + 2.25660i) q^{70} -7.78825 q^{71} +(-3.76388 - 6.51924i) q^{72} +(-2.64624 + 4.58342i) q^{73} +(-2.36306 + 4.09294i) q^{74} +(-0.298260 - 0.516601i) q^{75} -8.85359 q^{76} +(-1.60664 - 5.79816i) q^{77} +1.96673 q^{78} +(5.99106 + 10.3768i) q^{79} +(0.0431675 - 0.0747684i) q^{80} +(-2.96205 + 5.13042i) q^{81} +(-3.74241 - 6.48205i) q^{82} -6.34113 q^{83} +(1.85895 + 0.481179i) q^{84} +1.00000 q^{85} +(4.76049 + 8.24541i) q^{86} +(1.20622 - 2.08923i) q^{87} +(-3.23707 + 5.60678i) q^{88} +(2.50903 + 4.34576i) q^{89} -2.34023 q^{90} +(6.90963 - 7.02829i) q^{91} +5.26950 q^{92} +(2.93264 + 5.07949i) q^{93} +(1.70837 - 2.95899i) q^{94} +(-3.63843 + 6.30194i) q^{95} +(-1.67546 - 2.90199i) q^{96} +2.24441 q^{97} +(-5.31184 + 3.18859i) q^{98} +6.01303 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 14 q + q^{2} + 6 q^{3} - 3 q^{4} - 7 q^{5} - 6 q^{6} - q^{7} - 12 q^{8} - 9 q^{9}+O(q^{10}) $ 14 * q + q^2 + 6 * q^3 - 3 * q^4 - 7 * q^5 - 6 * q^6 - q^7 - 12 * q^8 - 9 * q^9	\( 14 q + q^{2} + 6 q^{3} - 3 q^{4} - 7 q^{5} - 6 q^{6} - q^{7} - 12 q^{8} - 9 q^{9} + q^{10} + 3 q^{11} + 8 q^{12} + 12 q^{13} - 12 q^{15} + 13 q^{16} - 7 q^{17} - q^{18} + 14 q^{19} + 6 q^{20} - 5 q^{21} + 24 q^{22} + 3 q^{23} - 17 q^{24} - 7 q^{25} + 7 q^{26} - 78 q^{27} + 3 q^{28} - 2 q^{29} + 3 q^{30} + 10 q^{31} - 7 q^{32} - 14 q^{33} - 2 q^{34} + 5 q^{35} + 48 q^{36} - 8 q^{37} - 7 q^{38} + 17 q^{39} + 6 q^{40} - 24 q^{41} - 41 q^{42} - 8 q^{43} + 13 q^{44} - 9 q^{45} - 6 q^{46} + 22 q^{47} - 14 q^{48} + 17 q^{49} - 2 q^{50} + 6 q^{51} - 5 q^{52} - 16 q^{53} + 11 q^{54} - 6 q^{55} + 12 q^{56} + 74 q^{57} + 22 q^{58} + 47 q^{59} + 8 q^{60} - 26 q^{61} - 58 q^{62} + 14 q^{63} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 20 q^{67} - 3 q^{68} - 42 q^{69} - 3 q^{70} - 8 q^{71} + 23 q^{72} + 19 q^{73} - 2 q^{74} + 6 q^{75} - 38 q^{76} - 31 q^{77} + 134 q^{78} + 46 q^{79} + 13 q^{80} - 47 q^{81} - 27 q^{82} - 68 q^{83} - 46 q^{84} + 14 q^{85} - 8 q^{86} - 20 q^{87} - 15 q^{88} + 26 q^{89} + 2 q^{90} - 54 q^{91} + 104 q^{92} + 13 q^{93} - 27 q^{94} + 14 q^{95} - 18 q^{96} - 38 q^{97} - 35 q^{98} - 36 q^{99}+O(q^{100}) \) 14 * q + q^2 + 6 * q^3 - 3 * q^4 - 7 * q^5 - 6 * q^6 - q^7 - 12 * q^8 - 9 * q^9 + q^10 + 3 * q^11 + 8 * q^12 + 12 * q^13 - 12 * q^15 + 13 * q^16 - 7 * q^17 - q^18 + 14 * q^19 + 6 * q^20 - 5 * q^21 + 24 * q^22 + 3 * q^23 - 17 * q^24 - 7 * q^25 + 7 * q^26 - 78 * q^27 + 3 * q^28 - 2 * q^29 + 3 * q^30 + 10 * q^31 - 7 * q^32 - 14 * q^33 - 2 * q^34 + 5 * q^35 + 48 * q^36 - 8 * q^37 - 7 * q^38 + 17 * q^39 + 6 * q^40 - 24 * q^41 - 41 * q^42 - 8 * q^43 + 13 * q^44 - 9 * q^45 - 6 * q^46 + 22 * q^47 - 14 * q^48 + 17 * q^49 - 2 * q^50 + 6 * q^51 - 5 * q^52 - 16 * q^53 + 11 * q^54 - 6 * q^55 + 12 * q^56 + 74 * q^57 + 22 * q^58 + 47 * q^59 + 8 * q^60 - 26 * q^61 - 58 * q^62 + 14 * q^63 - 8 * q^64 - 6 * q^65 + 43 * q^66 + 20 * q^67 - 3 * q^68 - 42 * q^69 - 3 * q^70 - 8 * q^71 + 23 * q^72 + 19 * q^73 - 2 * q^74 + 6 * q^75 - 38 * q^76 - 31 * q^77 + 134 * q^78 + 46 * q^79 + 13 * q^80 - 47 * q^81 - 27 * q^82 - 68 * q^83 - 46 * q^84 + 14 * q^85 - 8 * q^86 - 20 * q^87 - 15 * q^88 + 26 * q^89 + 2 * q^90 - 54 * q^91 + 104 * q^92 + 13 * q^93 - 27 * q^94 + 14 * q^95 - 18 * q^96 - 38 * q^97 - 35 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/595\mathbb{Z}\right)^\times$.

$n$	$71$	$171$	$477$
$\chi(n)$	$1$	$e\left(\frac{2}{3}\right)$	$1$

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 $

$2$	−0.442527	−	0.766480i	−0.312914	−	0.541983i	0.666078	−	0.745882i	$-0.267972\pi$
$2$	−0.442527	−	0.766480i	−0.312914	−	0.541983i	−0.978992	+	0.203899i	$0.934638\pi$
$3$	−0.298260	+	0.516601i	−0.172200	+	0.298260i	−0.939189	−	0.343401i	$-0.888421\pi$
$3$	−0.298260	+	0.516601i	−0.172200	+	0.298260i	0.766988	+	0.641661i	$0.221754\pi$
$4$	0.608339	−	1.05367i	0.304170	−	0.526837i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	0.527952			0.215536
$7$	1.85483	−	1.88669i	0.701061	−	0.713101i
$7$	1.85483	−	1.88669i	0.701061	−	0.713101i
$8$	−2.84694			−1.00654
$9$	1.32208	+	2.28991i	0.440694	+	0.763305i
$10$	−0.442527	+	0.766480i	−0.139939	+	0.242382i
$11$	1.13704	−	1.96941i	0.342830	−	0.593799i	−0.642127	−	0.766598i	$-0.721948\pi$
$11$	1.13704	−	1.96941i	0.342830	−	0.593799i	0.984957	+	0.172799i	$0.0552812\pi$
$12$	0.362886	+	0.628538i	0.104756	+	0.181443i
$13$	3.72520			1.03318			0.516592	−	0.856231i	$-0.327200\pi$
$13$	3.72520			1.03318			0.516592	+	0.856231i	$0.327200\pi$
$14$	−2.26692	−	0.586781i	−0.605860	−	0.156824i
$15$	0.596520			0.154021
$16$	0.0431675	+	0.0747684i	0.0107919	+	0.0186921i
$17$	−0.500000	+	0.866025i	−0.121268	+	0.210042i
$17$	−0.500000	+	0.866025i	−0.121268	+	0.210042i
$18$	1.17011	−	2.02670i	0.275799	−	0.477697i
$19$	−3.63843	−	6.30194i	−0.834712	−	1.44576i	−0.894264	−	0.447539i	$-0.852301\pi$
$19$	−3.63843	−	6.30194i	−0.834712	−	1.44576i	0.0595522	−	0.998225i	$-0.481033\pi$
$20$	−1.21668			−0.272058
$21$	0.421443	+	1.52093i	0.0919664	+	0.331895i
$22$	−2.01268			−0.429105
$23$	2.16553	+	3.75080i	0.451543	+	0.782096i	0.998482	−	0.0550764i	$-0.0175402\pi$
$23$	2.16553	+	3.75080i	0.451543	+	0.782096i	−0.546939	+	0.837173i	$0.684207\pi$
$24$	0.849126	−	1.47073i	0.173327	−	0.300211i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	−1.64850	−	2.85529i	−0.323298	−	0.559969i
$27$	−3.36685			−0.647951
$28$	−0.859588	−	3.10214i	−0.162447	−	0.586249i
$29$	−4.04418			−0.750986			−0.375493	−	0.926825i	$-0.622527\pi$
$29$	−4.04418			−0.750986			−0.375493	+	0.926825i	$0.622527\pi$
$30$	−0.263976	−	0.457220i	−0.0481952	−	0.0834766i
$31$	4.91626	−	8.51521i	0.882986	−	1.52938i	0.0349813	−	0.999388i	$-0.488863\pi$
$31$	4.91626	−	8.51521i	0.882986	−	1.52938i	0.848005	−	0.529989i	$-0.177804\pi$
$32$	−2.80873	+	4.86486i	−0.496518	+	0.859994i
$33$	0.678265	+	1.17479i	0.118071	+	0.204505i
$34$	0.885054			0.151786
$35$	−2.56134	−	0.662989i	−0.432945	−	0.112066i
$36$	3.21710			0.536183
$37$	−2.66996	−	4.62451i	−0.438939	−	0.760265i	0.558669	−	0.829391i	$-0.311312\pi$
$37$	−2.66996	−	4.62451i	−0.438939	−	0.760265i	−0.997608	+	0.0691261i	$0.977979\pi$
$38$	−3.22021	+	5.57756i	−0.522386	+	0.904800i
$39$	−1.11108	+	1.92444i	−0.177915	+	0.308158i
$40$	1.42347	+	2.46552i	0.225070	+	0.389833i
$41$	8.45691			1.32075			0.660373	−	0.750937i	$-0.270398\pi$
$41$	8.45691			1.32075			0.660373	+	0.750937i	$0.270398\pi$
$42$	0.979263	−	0.996081i	0.151104	−	0.153699i
$43$	−10.7575			−1.64050			−0.820252	−	0.572002i	$-0.806167\pi$
$43$	−10.7575			−1.64050			−0.820252	+	0.572002i	$0.806167\pi$
$44$	−1.38341	−	2.39614i	−0.208557	−	0.361231i
$45$	1.32208	−	2.28991i	0.197084	−	0.341360i
$46$	1.91661	−	3.31966i	0.282589	−	0.489458i
$47$	1.93025	+	3.34329i	0.281555	+	0.487668i	0.971768	−	0.235938i	$-0.0758163\pi$
$47$	1.93025	+	3.34329i	0.281555	+	0.487668i	−0.690213	+	0.723607i	$0.742483\pi$
$48$	−0.0515006			−0.00743346
$49$	−0.119186	−	6.99899i	−0.0170265	−	0.999855i
$50$	0.885054			0.125166
$51$	−0.298260	−	0.516601i	−0.0417647	−	0.0723386i
$52$	2.26619	−	3.92515i	0.314264	−	0.544320i
$53$	−1.25070	+	2.16628i	−0.171797	+	0.297561i	−0.939048	−	0.343786i	$-0.888291\pi$
$53$	−1.25070	+	2.16628i	−0.171797	+	0.297561i	0.767251	+	0.641347i	$0.221624\pi$
$54$	1.48992	+	2.58063i	0.202753	+	0.351179i
$55$	−2.27408			−0.306636
$56$	−5.28059	+	5.37128i	−0.705649	+	0.717767i
$57$	4.34079			0.574951
$58$	1.78966	+	3.09978i	0.234994	+	0.407022i
$59$	7.03579	−	12.1864i	0.915982	−	1.58653i	0.110526	−	0.993873i	$-0.464747\pi$
$59$	7.03579	−	12.1864i	0.915982	−	1.58653i	0.805457	−	0.592655i	$-0.201920\pi$
$60$	0.362886	−	0.628538i	0.0468484	−	0.0811439i
$61$	1.27764	+	2.21294i	0.163585	+	0.283338i	0.936152	−	0.351595i	$-0.114361\pi$
$61$	1.27764	+	2.21294i	0.163585	+	0.283338i	−0.772567	+	0.634934i	$0.781027\pi$
$62$	−8.70231			−1.10519
$63$	6.77260	+	1.75305i	0.853267	+	0.220864i
$64$	5.14443			0.643053
$65$	−1.86260	−	3.22612i	−0.231027	−	0.400151i
$66$	0.600302	−	1.03975i	0.0738920	−	0.127985i
$67$	3.12279	−	5.40883i	0.381509	−	0.660793i	−0.609769	−	0.792579i	$-0.708738\pi$
$67$	3.12279	−	5.40883i	0.381509	−	0.660793i	0.991278	+	0.131786i	$0.0420711\pi$
$68$	0.608339	+	1.05367i	0.0737720	+	0.127777i
$69$	−2.58356			−0.311024
$70$	0.625294	+	2.25660i	0.0747369	+	0.269716i
$71$	−7.78825			−0.924295			−0.462147	−	0.886803i	$-0.652921\pi$
$71$	−7.78825			−0.924295			−0.462147	+	0.886803i	$0.652921\pi$
$72$	−3.76388	−	6.51924i	−0.443578	−	0.768299i
$73$	−2.64624	+	4.58342i	−0.309719	+	0.536449i	−0.978301	−	0.207190i	$-0.933568\pi$
$73$	−2.64624	+	4.58342i	−0.309719	+	0.536449i	0.668582	+	0.743638i	$0.266902\pi$
$74$	−2.36306	+	4.09294i	−0.274700	+	0.475795i
$75$	−0.298260	−	0.516601i	−0.0344401	−	0.0596520i
$76$	−8.85359			−1.01558
$77$	−1.60664	−	5.79816i	−0.183094	−	0.660762i
$78$	1.96673			0.222688
$79$	5.99106	+	10.3768i	0.674047	+	1.16748i	0.976747	+	0.214397i	$0.0687787\pi$
$79$	5.99106	+	10.3768i	0.674047	+	1.16748i	−0.302700	+	0.953086i	$0.597888\pi$
$80$	0.0431675	−	0.0747684i	0.00482628	−	0.00835936i
$81$	−2.96205	+	5.13042i	−0.329117	+	0.570047i
$82$	−3.74241	−	6.48205i	−0.413280	−	0.715822i
$83$	−6.34113			−0.696029			−0.348015	−	0.937489i	$-0.613144\pi$
$83$	−6.34113			−0.696029			−0.348015	+	0.937489i	$0.613144\pi$
$84$	1.85895	+	0.481179i	0.202828	+	0.0525009i
$85$	1.00000			0.108465
$86$	4.76049	+	8.24541i	0.513337	+	0.889125i
$87$	1.20622	−	2.08923i	0.129320	−	0.223989i
$88$	−3.23707	+	5.60678i	−0.345073	+	0.597684i
$89$	2.50903	+	4.34576i	0.265956	+	0.460650i	0.967814	−	0.251668i	$-0.0809790\pi$
$89$	2.50903	+	4.34576i	0.265956	+	0.460650i	−0.701858	+	0.712317i	$0.747646\pi$
$90$	−2.34023			−0.246682
$91$	6.90963	−	7.02829i	0.724326	−	0.736765i
$92$	5.26950			0.549383
$93$	2.93264	+	5.07949i	0.304101	+	0.526718i
$94$	1.70837	−	2.95899i	0.176205	−	0.305196i
$95$	−3.63843	+	6.30194i	−0.373295	+	0.646565i
$96$	−1.67546	−	2.90199i	−0.171001	−	0.296183i
$97$	2.24441			0.227885			0.113943	−	0.993487i	$-0.463652\pi$
$97$	2.24441			0.227885			0.113943	+	0.993487i	$0.463652\pi$
$98$	−5.31184	+	3.18859i	−0.536576	+	0.322097i
$99$	6.01303			0.604332
$100$	0.608339	+	1.05367i	0.0608339	+	0.105367i
$101$	2.38629	−	4.13318i	0.237445	−	0.411267i	−0.722536	−	0.691334i	$-0.757023\pi$
$101$	2.38629	−	4.13318i	0.237445	−	0.411267i	0.959980	+	0.280067i	$0.0903568\pi$
$102$	−0.263976	+	0.457220i	−0.0261375	+	0.0452715i
$103$	7.27464	+	12.6000i	0.716791	+	1.24152i	0.962265	+	0.272116i	$0.0877234\pi$
$103$	7.27464	+	12.6000i	0.716791	+	1.24152i	−0.245473	+	0.969403i	$0.578943\pi$
$104$	−10.6054			−1.03995
$105$	1.10644	−	1.12545i	0.107978	−	0.109832i
$106$	2.21387			0.215030
$107$	7.22817	+	12.5196i	0.698773	+	1.21031i	0.968892	+	0.247484i	$0.0796037\pi$
$107$	7.22817	+	12.5196i	0.698773	+	1.21031i	−0.270119	+	0.962827i	$0.587063\pi$
$108$	−2.04819	+	3.54757i	−0.197087	+	0.341365i
$109$	−5.34968	+	9.26592i	−0.512406	+	0.887514i	0.487490	+	0.873129i	$0.337913\pi$
$109$	−5.34968	+	9.26592i	−0.512406	+	0.887514i	−0.999897	+	0.0143855i	$0.995421\pi$
$110$	1.00634	+	1.74303i	0.0959508	+	0.166192i
$111$	3.18537			0.302342
$112$	0.221133	+	0.0572392i	0.0208951	+	0.00540859i
$113$	−4.81406			−0.452869			−0.226434	−	0.974026i	$-0.572707\pi$
$113$	−4.81406			−0.452869			−0.226434	+	0.974026i	$0.572707\pi$
$114$	−1.92092	−	3.32712i	−0.179910	−	0.311614i
$115$	2.16553	−	3.75080i	0.201936	−	0.349764i
$116$	−2.46024	+	4.26126i	−0.228427	+	0.395648i
$117$	4.92502	+	8.53039i	0.455318	+	0.788635i
$118$	−12.4541			−1.14649
$119$	0.706503	+	2.54968i	0.0647650	+	0.233729i
$120$	−1.69825			−0.155029
$121$	2.91429	+	5.04770i	0.264935	+	0.458882i
$122$	1.13078	−	1.95857i	0.102376	−	0.177321i
$123$	−2.52235	+	4.36885i	−0.227433	+	0.393926i
$124$	−5.98151	−	10.3603i	−0.537155	−	0.930380i
$125$	1.00000			0.0894427
$126$	−1.65338	−	5.96683i	−0.147295	−	0.531567i
$127$	9.53793			0.846355			0.423177	−	0.906047i	$-0.360915\pi$
$127$	9.53793			0.846355			0.423177	+	0.906047i	$0.360915\pi$
$128$	3.34091	+	5.78663i	0.295298	+	0.511470i
$129$	3.20853	−	5.55734i	0.282495	−	0.489296i
$130$	−1.64850	+	2.85529i	−0.144583	+	0.250426i
$131$	4.43321	+	7.67854i	0.387331	+	0.670877i	0.992090	−	0.125532i	$-0.0400637\pi$
$131$	4.43321	+	7.67854i	0.387331	+	0.670877i	−0.604759	+	0.796409i	$0.706730\pi$
$132$	1.65046			0.143654
$133$	−18.6385	−	4.82447i	−1.61616	−	0.418335i
$134$	−5.52767			−0.477518
$135$	1.68343	+	2.91578i	0.144886	+	0.250951i
$136$	1.42347	−	2.46552i	0.122061	−	0.211416i
$137$	6.14112	−	10.6367i	0.524672	−	0.908758i	−0.474916	−	0.880031i	$-0.657521\pi$
$137$	6.14112	−	10.6367i	0.524672	−	0.908758i	0.999587	−	0.0287267i	$-0.00914524\pi$
$138$	1.14329	+	1.98024i	0.0973237	+	0.168570i
$139$	21.9298			1.86006			0.930030	−	0.367482i	$-0.119780\pi$
$139$	21.9298			1.86006			0.930030	+	0.367482i	$0.119780\pi$
$140$	−2.25674	+	2.29549i	−0.190729	+	0.194005i
$141$	−2.30286			−0.193936
$142$	3.44651	+	5.96953i	0.289225	+	0.500952i
$143$	4.23570	−	7.33644i	0.354207	−	0.613504i
$144$	−0.114142	+	0.197700i	−0.00951184	+	0.0164750i
$145$	2.02209	+	3.50237i	0.167926	+	0.290856i
$146$	4.68413			0.387661
$147$	3.65123	+	2.02594i	0.301149	+	0.167097i
$148$	−6.49697			−0.534048
$149$	1.13651	+	1.96849i	0.0931066	+	0.161265i	0.908817	−	0.417195i	$-0.136987\pi$
$149$	1.13651	+	1.96849i	0.0931066	+	0.161265i	−0.815710	+	0.578461i	$0.803654\pi$
$150$	−0.263976	+	0.457220i	−0.0215536	+	0.0373319i
$151$	2.37421	−	4.11226i	0.193211	−	0.334651i	−0.753102	−	0.657904i	$-0.771443\pi$
$151$	2.37421	−	4.11226i	0.193211	−	0.334651i	0.946313	+	0.323253i	$0.104777\pi$
$152$	10.3584	+	17.9412i	0.840174	+	1.45522i
$153$	−2.64416			−0.213768
$154$	−3.73319	+	3.79730i	−0.300829	+	0.305995i
$155$	−9.83252			−0.789767
$156$	1.35182	+	2.34143i	0.108233	+	0.187464i
$157$	1.85890	−	3.21970i	0.148356	−	0.256960i	−0.782264	−	0.622947i	$-0.785935\pi$
$157$	1.85890	−	3.21970i	0.148356	−	0.256960i	0.930620	+	0.365987i	$0.119269\pi$
$158$	5.30241	−	9.18405i	0.421837	−	0.730644i
$159$	−0.746067	−	1.29223i	−0.0591669	−	0.102480i
$160$	5.61746			0.444099
$161$	11.0933	+	2.87144i	0.874273	+	0.226301i
$162$	5.24315			0.411941
$163$	3.92253	+	6.79401i	0.307236	+	0.532148i	0.977757	−	0.209743i	$-0.0672626\pi$
$163$	3.92253	+	6.79401i	0.307236	+	0.532148i	−0.670521	+	0.741891i	$0.733929\pi$
$164$	5.14467	−	8.91083i	0.401731	−	0.695819i
$165$	0.678265	−	1.17479i	0.0528029	−	0.0914573i
$166$	2.80612	+	4.86035i	0.217797	+	0.377236i
$167$	−7.45506			−0.576890			−0.288445	−	0.957496i	$-0.593138\pi$
$167$	−7.45506			−0.576890			−0.288445	+	0.957496i	$0.593138\pi$
$168$	−1.19982	−	4.33000i	−0.0925682	−	0.334066i
$169$	0.877125			0.0674711
$170$	−0.442527	−	0.766480i	−0.0339403	−	0.0587863i
$171$	9.62060	−	16.6634i	0.735706	−	1.27428i
$172$	−6.54421	+	11.3349i	−0.498992	+	0.864279i
$173$	6.43446	+	11.1448i	0.489203	+	0.847325i	0.999923	−	0.0124225i	$-0.00395432\pi$
$173$	6.43446	+	11.1448i	0.489203	+	0.847325i	−0.510720	+	0.859747i	$0.670621\pi$
$174$	−2.13514			−0.161864
$175$	0.706503	+	2.54968i	0.0534066	+	0.192737i
$176$	0.196332			0.0147991
$177$	4.19699	+	7.26940i	0.315465	+	0.546401i
$178$	2.22062	−	3.84623i	0.166443	−	0.288287i
$179$	−6.68883	+	11.5854i	−0.499947	+	0.865934i	−1.00000		6.12100e-5i	$-0.999981\pi$
$179$	−6.68883	+	11.5854i	−0.499947	+	0.865934i	0.500053	+	0.865995i	$0.333314\pi$
$180$	−1.60855	−	2.78609i	−0.119894	−	0.207663i
$181$	−6.72476			−0.499848			−0.249924	−	0.968266i	$-0.580406\pi$
$181$	−6.72476			−0.499848			−0.249924	+	0.968266i	$0.580406\pi$
$182$	−8.44474	−	2.18588i	−0.625966	−	0.162028i
$183$	−1.52428			−0.112678
$184$	−6.16511	−	10.6783i	−0.454498	−	0.787214i
$185$	−2.66996	+	4.62451i	−0.196299	+	0.340001i
$186$	2.59555	−	4.49562i	0.190315	−	0.329635i
$187$	1.13704	+	1.96941i	0.0831485	+	0.144017i
$188$	4.69698			0.342563
$189$	−6.24495	+	6.35220i	−0.454254	+	0.462055i
$190$	6.44041			0.467236
$191$	−6.55054	−	11.3459i	−0.473981	−	0.820958i	0.525576	−	0.850747i	$-0.323850\pi$
$191$	−6.55054	−	11.3459i	−0.473981	−	0.820958i	−0.999556	+	0.0297884i	$0.990517\pi$
$192$	−1.53438	+	2.65762i	−0.110734	+	0.191797i
$193$	−7.05538	+	12.2203i	−0.507858	+	0.879635i	0.492101	+	0.870538i	$0.336229\pi$
$193$	−7.05538	+	12.2203i	−0.507858	+	0.879635i	−0.999959	+	0.00909710i	$0.997104\pi$
$194$	−0.993211	−	1.72029i	−0.0713084	−	0.123510i
$195$	2.22216			0.159132
$196$	−7.44716	−	4.13218i	−0.531940	−	0.295155i
$197$	16.0734			1.14519			0.572593	−	0.819840i	$-0.305938\pi$
$197$	16.0734			1.14519			0.572593	+	0.819840i	$0.305938\pi$
$198$	−2.66093	−	4.60887i	−0.189104	−	0.327538i
$199$	−8.12692	+	14.0762i	−0.576102	+	0.997838i	0.419819	+	0.907608i	$0.362093\pi$
$199$	−8.12692	+	14.0762i	−0.576102	+	0.997838i	−0.995921	+	0.0902298i	$0.971240\pi$
$200$	1.42347	−	2.46552i	0.100654	−	0.174338i
$201$	1.86280	+	3.22647i	0.131392	+	0.227578i
$202$	−4.22399			−0.297199
$203$	−7.50129	+	7.63012i	−0.526487	+	0.535529i
$204$	−0.725773			−0.0508143
$205$	−4.22845	−	7.32390i	−0.295328	−	0.511523i
$206$	6.43845	−	11.1517i	0.448588	−	0.776977i
$207$	−5.72601	+	9.91774i	−0.397985	+	0.689330i
$208$	0.160808	+	0.278527i	0.0111500	+	0.0193124i
$209$	−16.5481			−1.14466
$210$	−1.35226	−	0.350026i	−0.0933150	−	0.0241541i
$211$	15.2074			1.04692			0.523462	−	0.852049i	$-0.324640\pi$
$211$	15.2074			1.04692			0.523462	+	0.852049i	$0.324640\pi$
$212$	1.52170	+	2.63566i	0.104511	+	0.181018i
$213$	2.32292	−	4.02342i	0.159164	−	0.275680i
$214$	6.39732	−	11.0805i	0.437312	−	0.757446i
$215$	5.37875	+	9.31627i	0.366828	+	0.635365i
$216$	9.58522			0.652191
$217$	−6.94671	−	25.0697i	−0.471573	−	1.70184i
$218$	9.46952			0.641357
$219$	−1.57853	−	2.73410i	−0.106667	−	0.184753i
$220$	−1.38341	+	2.39614i	−0.0932695	+	0.161547i
$221$	−1.86260	+	3.22612i	−0.125292	+	0.217012i
$222$	−1.40961	−	2.44152i	−0.0946070	−	0.163864i
$223$	6.26710			0.419676			0.209838	−	0.977736i	$-0.432706\pi$
$223$	6.26710			0.419676			0.209838	+	0.977736i	$0.432706\pi$
$224$	3.96875	+	14.3227i	0.265174	+	0.956976i
$225$	−2.64416			−0.176278
$226$	2.13035	+	3.68988i	0.141709	+	0.245447i
$227$	−5.64955	+	9.78530i	−0.374974	+	0.649473i	−0.990323	−	0.138781i	$-0.955682\pi$
$227$	−5.64955	+	9.78530i	−0.374974	+	0.649473i	0.615349	+	0.788254i	$0.289015\pi$
$228$	2.64067	−	4.57378i	0.174883	−	0.302906i
$229$	−0.930331	−	1.61138i	−0.0614780	−	0.106483i	0.833648	−	0.552296i	$-0.186248\pi$
$229$	−0.930331	−	1.61138i	−0.0614780	−	0.106483i	−0.895126	+	0.445813i	$0.852915\pi$
$230$	−3.83322			−0.252755
$231$	3.47453	+	0.899365i	0.228607	+	0.0591738i
$232$	11.5135			0.755900
$233$	9.23438	+	15.9944i	0.604964	+	1.04783i	0.992057	+	0.125788i	$0.0401459\pi$
$233$	9.23438	+	15.9944i	0.604964	+	1.04783i	−0.387093	+	0.922041i	$0.626521\pi$
$234$	4.35891	−	7.54986i	0.284951	−	0.493550i
$235$	1.93025	−	3.34329i	0.125915	−	0.218092i
$236$	−8.56030	−	14.8269i	−0.557228	−	0.965148i
$237$	−7.14757			−0.464284
$238$	1.64163	−	1.66982i	0.106411	−	0.108238i
$239$	20.6555			1.33609			0.668047	−	0.744119i	$-0.267131\pi$
$239$	20.6555			1.33609			0.668047	+	0.744119i	$0.267131\pi$
$240$	0.0257503	+	0.0446008i	0.00166217	+	0.00287897i
$241$	8.84611	−	15.3219i	0.569828	−	0.986971i	−0.426754	−	0.904368i	$-0.640343\pi$
$241$	8.84611	−	15.3219i	0.569828	−	0.986971i	0.996582	−	0.0826038i	$-0.0263236\pi$
$242$	2.57930	−	4.46749i	0.165804	−	0.287181i
$243$	−6.81720	−	11.8077i	−0.437324	−	0.757467i
$244$	3.10896			0.199031
$245$	−6.00171	+	3.60271i	−0.383435	+	0.230169i
$246$	4.46484			0.284668
$247$	−13.5539	−	23.4760i	−0.862412	−	1.49374i
$248$	−13.9963	+	24.2423i	−0.888764	+	1.53938i
$249$	1.89130	−	3.27583i	0.119857	−	0.207598i
$250$	−0.442527	−	0.766480i	−0.0279879	−	0.0484764i
$251$	−21.9960			−1.38838			−0.694188	−	0.719794i	$-0.744236\pi$
$251$	−21.9960			−1.38838			−0.694188	+	0.719794i	$0.744236\pi$
$252$	5.96718	−	6.06966i	0.375897	−	0.382353i
$253$	9.84914			0.619210
$254$	−4.22079	−	7.31063i	−0.264836	−	0.458710i
$255$	−0.298260	+	0.516601i	−0.0186778	+	0.0323508i
$256$	8.10132	−	14.0319i	0.506332	−	0.876993i
$257$	−7.14249	−	12.3712i	−0.445536	−	0.771691i	0.552553	−	0.833478i	$-0.313654\pi$
$257$	−7.14249	−	12.3712i	−0.445536	−	0.771691i	−0.998089	+	0.0617863i	$0.980320\pi$
$258$	−5.67945			−0.353587
$259$	−13.6773	−	3.54031i	−0.849869	−	0.219984i
$260$	−4.53237			−0.281086
$261$	−5.34674	−	9.26083i	−0.330955	−	0.573231i
$262$	3.92363	−	6.79592i	0.242403	−	0.419854i
$263$	9.64463	−	16.7050i	0.594714	−	1.03007i	−0.398874	−	0.917006i	$-0.630599\pi$
$263$	9.64463	−	16.7050i	0.594714	−	1.03007i	0.993587	−	0.113068i	$-0.0360679\pi$
$264$	−1.93098	−	3.34455i	−0.118843	−	0.205843i
$265$	2.50140			0.153660
$266$	4.55017	+	16.4210i	0.278989	+	1.00683i
$267$	−2.99337			−0.183191
$268$	−3.79943	−	6.58081i	−0.232087	−	0.401987i
$269$	−12.7418	+	22.0695i	−0.776882	+	1.34560i	0.156848	+	0.987623i	$0.449867\pi$
$269$	−12.7418	+	22.0695i	−0.776882	+	1.34560i	−0.933730	+	0.357977i	$0.883467\pi$
$270$	1.48992	−	2.58063i	0.0906739	−	0.157052i
$271$	−14.8163	−	25.6625i	−0.900024	−	1.55889i	−0.827460	−	0.561524i	$-0.810215\pi$
$271$	−14.8163	−	25.6625i	−0.900024	−	1.55889i	−0.0725639	−	0.997364i	$-0.523118\pi$
$272$	−0.0863351			−0.00523483
$273$	1.56996	+	5.66578i	0.0950183	+	0.342909i
$274$	−10.8705			−0.656708
$275$	1.13704	+	1.96941i	0.0685660	+	0.118760i
$276$	−1.57168	+	2.72223i	−0.0946040	+	0.163859i
$277$	−8.34560	+	14.4550i	−0.501438	+	0.868517i	0.498560	+	0.866855i	$0.333862\pi$
$277$	−8.34560	+	14.4550i	−0.501438	+	0.868517i	−0.999999	+	0.00166156i	$0.999471\pi$
$278$	−9.70453	−	16.8087i	−0.582039	−	1.00812i
$279$	25.9988			1.55651
$280$	7.29196	+	1.88749i	0.435778	+	0.112799i
$281$	−28.0598			−1.67391			−0.836954	−	0.547274i	$-0.815666\pi$
$281$	−28.0598			−1.67391			−0.836954	+	0.547274i	$0.815666\pi$
$282$	1.01908	+	1.76509i	0.0606852	+	0.105110i
$283$	13.4929	−	23.3704i	0.802071	−	1.38923i	−0.116180	−	0.993228i	$-0.537065\pi$
$283$	13.4929	−	23.3704i	0.802071	−	1.38923i	0.918251	−	0.395999i	$-0.129602\pi$
$284$	−4.73790	+	8.20628i	−0.281142	+	0.486953i
$285$	−2.17039	−	3.75923i	−0.128563	−	0.222678i
$286$	−7.49764			−0.443345
$287$	15.6862	−	15.9555i	0.925924	−	0.941826i
$288$	−14.8535			−0.875250
$289$	−0.500000	−	0.866025i	−0.0294118	−	0.0509427i
$290$	1.78966	−	3.09978i	0.105093	−	0.182026i
$291$	−0.669417	+	1.15946i	−0.0392419	+	0.0679690i
$292$	3.21962	+	5.57655i	0.188414	+	0.326343i
$293$	−21.7922			−1.27312			−0.636558	−	0.771229i	$-0.719642\pi$
$293$	−21.7922			−1.27312			−0.636558	+	0.771229i	$0.719642\pi$
$294$	−0.0629243	−	3.69513i	−0.00366982	−	0.215504i
$295$	−14.0716			−0.819280
$296$	7.60121	+	13.1657i	0.441811	+	0.765240i
$297$	−3.82824	+	6.63071i	−0.222137	+	0.384753i
$298$	1.00587	−	1.74222i	0.0582687	−	0.100924i
$299$	8.06702	+	13.9725i	0.466528	+	0.808050i
$300$	−0.725773			−0.0419025
$301$	−19.9534	+	20.2961i	−1.15009	+	1.16985i
$302$	−4.20262			−0.241833
$303$	1.42347	+	2.46552i	0.0817762	+	0.141640i
$304$	0.314124	−	0.544078i	0.0180162	−	0.0312050i
$305$	1.27764	−	2.21294i	0.0731576	−	0.126713i
$306$	1.17011	+	2.02670i	0.0668910	+	0.115859i
$307$	25.2858			1.44314			0.721569	−	0.692343i	$-0.243421\pi$
$307$	25.2858			1.44314			0.721569	+	0.692343i	$0.243421\pi$
$308$	−7.08676	−	1.83437i	−0.403806	−	0.104523i
$309$	−8.67893			−0.493727
$310$	4.35116	+	7.53642i	0.247129	+	0.428040i
$311$	−1.13582	+	1.96730i	−0.0644066	+	0.111556i	−0.896431	−	0.443184i	$-0.853849\pi$
$311$	−1.13582	+	1.96730i	−0.0644066	+	0.111556i	0.832024	+	0.554740i	$0.187182\pi$
$312$	3.16317	−	5.47877i	0.179079	−	0.310174i
$313$	1.60273	+	2.77600i	0.0905914	+	0.156909i	0.907760	−	0.419490i	$-0.137791\pi$
$313$	1.60273	+	2.77600i	0.0905914	+	0.156909i	−0.817169	+	0.576399i	$0.804458\pi$
$314$	−3.29045			−0.185691
$315$	−1.86811	−	6.74177i	−0.105256	−	0.379855i
$316$	14.5784			0.820098
$317$	−11.2920	−	19.5582i	−0.634220	−	1.09850i	−0.986680	−	0.162674i	$-0.947988\pi$
$317$	−11.2920	−	19.5582i	−0.634220	−	1.09850i	0.352460	−	0.935827i	$-0.385345\pi$
$318$	−0.660310	+	1.14369i	−0.0370283	+	0.0641349i
$319$	−4.59839	+	7.96465i	−0.257460	+	0.445935i
$320$	−2.57221	−	4.45520i	−0.143791	−	0.249054i
$321$	−8.62349			−0.481316
$322$	−2.70818	−	9.77347i	−0.150921	−	0.544654i
$323$	7.27685			0.404895
$324$	3.60386	+	6.24207i	0.200215	+	0.346782i
$325$	−1.86260	+	3.22612i	−0.103318	+	0.178953i
$326$	3.47165	−	6.01307i	0.192277	−	0.333033i
$327$	−3.19119	−	5.52730i	−0.176473	−	0.305660i
$328$	−24.0763			−1.32939
$329$	9.88802	+	2.55946i	0.545144	+	0.141108i
$330$	−1.20060			−0.0660910
$331$	7.61849	+	13.1956i	0.418750	+	0.725296i	0.995814	−	0.0914025i	$-0.0291350\pi$
$331$	7.61849	+	13.1956i	0.418750	+	0.725296i	−0.577064	+	0.816699i	$0.695802\pi$
$332$	−3.85756	+	6.68149i	−0.211711	+	0.366694i
$333$	7.05982	−	12.2280i	0.386876	−	0.670088i
$334$	3.29907	+	5.71415i	0.180517	+	0.312664i
$335$	−6.24558			−0.341232
$336$	−0.0955249	+	0.0971655i	−0.00521131	+	0.00530081i
$337$	−10.8503			−0.591051			−0.295525	−	0.955335i	$-0.595495\pi$
$337$	−10.8503			−0.591051			−0.295525	+	0.955335i	$0.595495\pi$
$338$	−0.388152	−	0.672298i	−0.0211127	−	0.0365682i
$339$	1.43584	−	2.48695i	0.0779842	−	0.135073i
$340$	0.608339	−	1.05367i	0.0329918	−	0.0571435i
$341$	−11.1799	−	19.3642i	−0.605428	−	1.04863i
$342$	−17.0295			−0.920850
$343$	−13.4260	−	12.7571i	−0.724934	−	0.688818i
$344$	30.6259			1.65124
$345$	1.29178	+	2.23743i	0.0695470	+	0.120459i
$346$	5.69485	−	9.86377i	0.306157	−	0.530280i
$347$	1.38983	−	2.40726i	0.0746100	−	0.129228i	−0.826307	−	0.563221i	$-0.809562\pi$
$347$	1.38983	−	2.40726i	0.0746100	−	0.129228i	0.900917	+	0.433992i	$0.142895\pi$
$348$	−1.46758	−	2.54192i	−0.0786705	−	0.136261i
$349$	−19.9184			−1.06621			−0.533103	−	0.846050i	$-0.678974\pi$
$349$	−19.9184			−1.06621			−0.533103	+	0.846050i	$0.678974\pi$
$350$	1.64163	−	1.66982i	0.0877487	−	0.0892557i
$351$	−12.5422			−0.669454
$352$	6.38727	+	11.0631i	0.340442	+	0.589664i
$353$	−0.316993	+	0.549049i	−0.0168719	+	0.0292229i	−0.874338	−	0.485317i	$-0.838704\pi$
$353$	−0.316993	+	0.549049i	−0.0168719	+	0.0292229i	0.857466	+	0.514540i	$0.172037\pi$
$354$	3.71456	−	6.43381i	0.197427	−	0.341953i
$355$	3.89412	+	6.74482i	0.206679	+	0.357978i
$356$	6.10536			0.323583
$357$	−1.52789	−	0.395486i	−0.0808644	−	0.0209313i
$358$	11.8400			0.625762
$359$	−7.43866	−	12.8841i	−0.392597	−	0.679999i	0.600194	−	0.799855i	$-0.295090\pi$
$359$	−7.43866	−	12.8841i	−0.392597	−	0.679999i	−0.992791	+	0.119856i	$0.961757\pi$
$360$	−3.76388	+	6.51924i	−0.198374	+	0.343594i
$361$	−16.9763	+	29.4038i	−0.893489	+	1.54757i
$362$	2.97589	+	5.15439i	0.156409	+	0.270909i
$363$	−3.47686			−0.182488
$364$	−3.20214	−	11.5561i	−0.167838	−	0.605704i
$365$	5.29248			0.277021
$366$	0.674534	+	1.16833i	0.0352585	+	0.0610695i
$367$	9.63501	−	16.6883i	0.502943	−	0.871123i	−0.497051	−	0.867721i	$-0.665584\pi$
$367$	9.63501	−	16.6883i	0.502943	−	0.871123i	0.999994	−	0.00340199i	$-0.00108289\pi$
$368$	−0.186961	+	0.323826i	−0.00974601	+	0.0168806i
$369$	11.1807	+	19.3656i	0.582045	+	1.00813i
$370$	4.72612			0.245699
$371$	1.76725	+	6.37776i	0.0917509	+	0.331117i
$372$	7.13617			0.369993
$373$	12.1204	+	20.9931i	0.627570	+	1.08698i	0.988038	+	0.154212i	$0.0492838\pi$
$373$	12.1204	+	20.9931i	0.627570	+	1.08698i	−0.360468	+	0.932772i	$0.617383\pi$
$374$	1.00634	−	1.74303i	0.0520366	−	0.0901301i
$375$	−0.298260	+	0.516601i	−0.0154021	+	0.0266772i
$376$	−5.49529	−	9.51812i	−0.283398	−	0.490859i
$377$	−15.0654			−0.775908
$378$	7.63240	+	1.97561i	0.392568	+	0.101614i
$379$	20.0996			1.03245			0.516223	−	0.856454i	$-0.327338\pi$
$379$	20.0996			1.03245			0.516223	+	0.856454i	$0.327338\pi$
$380$	4.42680	+	7.66744i	0.227090	+	0.393331i
$381$	−2.84478	+	4.92731i	−0.145743	+	0.252434i
$382$	−5.79759	+	10.0417i	−0.296630	+	0.513779i
$383$	3.13268	+	5.42596i	0.160073	+	0.277254i	0.934895	−	0.354926i	$-0.115494\pi$
$383$	3.13268	+	5.42596i	0.160073	+	0.277254i	−0.774822	+	0.632180i	$0.782161\pi$
$384$	−3.98584			−0.203401
$385$	−4.21803	+	4.29047i	−0.214971	+	0.218663i
$386$	12.4888			0.635663
$387$	−14.2223	−	24.6338i	−0.722960	−	1.25220i
$388$	1.36536	−	2.36488i	0.0693157	−	0.120058i
$389$	11.9775	−	20.7456i	0.607283	−	1.05184i	−0.384404	−	0.923165i	$-0.625593\pi$
$389$	11.9775	−	20.7456i	0.607283	−	1.05184i	0.991686	−	0.128679i	$-0.0410738\pi$
$390$	−0.983364	−	1.70324i	−0.0497946	−	0.0862467i
$391$	−4.33105			−0.219031
$392$	0.339314	+	19.9257i	0.0171379	+	1.00640i
$393$	−5.28899			−0.266794
$394$	−7.11293	−	12.3200i	−0.358344	−	0.620671i
$395$	5.99106	−	10.3768i	0.301443	−	0.522114i
$396$	3.65796	−	6.33578i	0.183820	−	0.318385i
$397$	−1.16224	−	2.01306i	−0.0583313	−	0.101033i	0.835385	−	0.549665i	$-0.185245\pi$
$397$	−1.16224	−	2.01306i	−0.0583313	−	0.101033i	−0.893716	+	0.448632i	$0.851911\pi$
$398$	14.3855			0.721081
$399$	8.05143	−	8.18971i	0.403076	−	0.409998i
$400$	−0.0863351			−0.00431675
$401$	11.4598	+	19.8489i	0.572274	+	0.991207i	0.996332	+	0.0855722i	$0.0272718\pi$
$401$	11.4598	+	19.8489i	0.572274	+	0.991207i	−0.424058	+	0.905635i	$0.639395\pi$
$402$	1.64868	−	2.85560i	0.0822288	−	0.142424i
$403$	18.3141	−	31.7209i	0.912288	−	1.58013i
$404$	−2.90335	−	5.02875i	−0.144447	−	0.250190i
$405$	5.92410			0.294371
$406$	9.16785	+	2.37305i	0.454993	+	0.117773i
$407$	−12.1434			−0.601926
$408$	0.849126	+	1.47073i	0.0420380	+	0.0728120i
$409$	−5.56485	+	9.63860i	−0.275164	+	0.476598i	−0.970176	−	0.242400i	$-0.922066\pi$
$409$	−5.56485	+	9.63860i	−0.275164	+	0.476598i	0.695012	+	0.718998i	$0.255399\pi$
$410$	−3.74241	+	6.48205i	−0.184824	+	0.320125i
$411$	3.66330	+	6.34502i	0.180697	+	0.312977i
$412$	17.7018			0.872105
$413$	−9.94162	−	35.8780i	−0.489195	−	1.76544i
$414$	10.1357			0.498140
$415$	3.17057	+	5.49158i	0.155637	+	0.269571i
$416$	−10.4631	+	18.1226i	−0.512995	+	0.888533i
$417$	−6.54078	+	11.3290i	−0.320303	+	0.554781i
$418$	7.32299	+	12.6838i	0.358179	+	0.620385i
$419$	5.91860			0.289143			0.144571	−	0.989494i	$-0.453820\pi$
$419$	5.91860			0.289143			0.144571	+	0.989494i	$0.453820\pi$
$420$	−0.512761	−	1.85049i	−0.0250202	−	0.0902945i
$421$	2.36397			0.115213			0.0576064	−	0.998339i	$-0.481653\pi$
$421$	2.36397			0.115213			0.0576064	+	0.998339i	$0.481653\pi$
$422$	−6.72970	−	11.6562i	−0.327597	−	0.567414i
$423$	−5.10389	+	8.84020i	−0.248160	+	0.429825i
$424$	3.56066	−	6.16725i	0.172921	−	0.299508i
$425$	−0.500000	−	0.866025i	−0.0242536	−	0.0420084i
$426$	−4.11182			−0.199218
$427$	6.54495	+	1.69413i	0.316732	+	0.0819845i
$428$	17.5887			0.850183
$429$	2.52668	+	4.37633i	0.121989	+	0.211291i
$430$	4.76049	−	8.24541i	0.229571	−	0.397629i
$431$	−2.28959	+	3.96569i	−0.110286	+	0.191021i	−0.915885	−	0.401440i	$-0.868510\pi$
$431$	−2.28959	+	3.96569i	−0.110286	+	0.191021i	0.805600	+	0.592460i	$0.201843\pi$
$432$	−0.145339	−	0.251734i	−0.00699262	−	0.0121116i
$433$	26.8815			1.29184			0.645922	−	0.763403i	$-0.276473\pi$
$433$	26.8815			1.29184			0.645922	+	0.763403i	$0.276473\pi$
$434$	−16.1413	+	16.4185i	−0.774809	+	0.788116i
$435$	−2.41244			−0.115667
$436$	6.50884	+	11.2736i	0.311717	+	0.539910i
$437$	15.7582	−	27.2940i	0.753818	−	1.30565i
$438$	−1.39709	+	2.41983i	−0.0667554	+	0.115624i
$439$	13.1800	+	22.8284i	0.629046	+	1.08954i	0.987743	+	0.156086i	$0.0498877\pi$
$439$	13.1800	+	22.8284i	0.629046	+	1.08954i	−0.358697	+	0.933454i	$0.616779\pi$
$440$	6.47415			0.308643
$441$	15.8695	−	9.52616i	0.755690	−	0.453627i
$442$	3.29701			0.156823
$443$	−20.6992	−	35.8520i	−0.983447	−	1.70338i	−0.648644	−	0.761092i	$-0.724663\pi$
$443$	−20.6992	−	35.8520i	−0.983447	−	1.70338i	−0.334804	−	0.942288i	$-0.608670\pi$
$444$	1.93779	−	3.35634i	0.0919632	−	0.159285i
$445$	2.50903	−	4.34576i	0.118939	−	0.206009i
$446$	−2.77336	−	4.80360i	−0.131323	−	0.227457i
$447$	−1.35590			−0.0641319
$448$	9.54206	−	9.70593i	0.450820	−	0.458562i
$449$	27.1980			1.28355			0.641776	−	0.766892i	$-0.278198\pi$
$449$	27.1980			1.28355			0.641776	+	0.766892i	$0.278198\pi$
$450$	1.17011	+	2.02670i	0.0551597	+	0.0955395i
$451$	9.61582	−	16.6551i	0.452791	−	0.784258i
$452$	−2.92858	+	5.07246i	−0.137749	+	0.238588i
$453$	1.41626	+	2.45304i	0.0665419	+	0.115254i
$454$	10.0003			0.469338
$455$	−9.54149	−	2.46977i	−0.447312	−	0.115784i
$456$	−12.3579			−0.578713
$457$	13.7728	+	23.8551i	0.644263	+	1.11590i	0.984471	+	0.175546i	$0.0561691\pi$
$457$	13.7728	+	23.8551i	0.644263	+	1.11590i	−0.340208	+	0.940350i	$0.610498\pi$
$458$	−0.823394	+	1.42616i	−0.0384747	+	0.0666401i
$459$	1.68343	−	2.91578i	0.0785757	−	0.136097i
$460$	−2.63475	−	4.56352i	−0.122846	−	0.212775i
$461$	1.33375			0.0621190			0.0310595	−	0.999518i	$-0.490112\pi$
$461$	1.33375			0.0621190			0.0310595	+	0.999518i	$0.490112\pi$
$462$	−0.848230	−	3.06115i	−0.0394632	−	0.142418i
$463$	−35.3444			−1.64259			−0.821297	−	0.570501i	$-0.806749\pi$
$463$	−35.3444			−1.64259			−0.821297	+	0.570501i	$0.806749\pi$
$464$	−0.174577	−	0.302377i	−0.00810456	−	0.0140375i
$465$	2.93264	−	5.07949i	0.135998	−	0.235556i
$466$	8.17292	−	14.1559i	0.378603	−	0.655760i
$467$	−7.49519	−	12.9820i	−0.346836	−	0.600737i	0.638850	−	0.769332i	$-0.279411\pi$
$467$	−7.49519	−	12.9820i	−0.346836	−	0.600737i	−0.985686	+	0.168594i	$0.946077\pi$
$468$	11.9843			0.553976
$469$	−4.41252	−	15.9242i	−0.203751	−	0.735311i
$470$	−3.41675			−0.157603
$471$	1.10887	+	1.92062i	0.0510939	+	0.0884973i
$472$	−20.0305	+	34.6938i	−0.921976	+	1.59691i
$473$	−12.2317	+	21.1859i	−0.562414	+	0.974129i
$474$	3.16299	+	5.47846i	0.145281	+	0.251634i
$475$	7.27685			0.333885
$476$	3.11632	+	0.806644i	0.142836	+	0.0369725i
$477$	−6.61411			−0.302839
$478$	−9.14062	−	15.8320i	−0.418082	−	0.724140i
$479$	−8.23364	+	14.2611i	−0.376205	+	0.651606i	−0.990507	−	0.137465i	$-0.956104\pi$
$479$	−8.23364	+	14.2611i	−0.376205	+	0.651606i	0.614302	+	0.789071i	$0.289438\pi$
$480$	−1.67546	+	2.90199i	−0.0764740	+	0.132457i
$481$	−9.94615	−	17.2272i	−0.453505	−	0.785494i
$482$	−15.6586			−0.713229
$483$	−4.79207	+	4.87437i	−0.218047	+	0.221791i
$484$	7.09151			0.322341
$485$	−1.12220	−	1.94371i	−0.0509567	−	0.0882595i
$486$	−6.03359	+	10.4505i	−0.273689	+	0.474044i
$487$	−0.125918	+	0.218096i	−0.00570587	+	0.00988286i	−0.868864	−	0.495050i	$-0.835150\pi$
$487$	−0.125918	+	0.218096i	−0.00570587	+	0.00988286i	0.863158	+	0.504933i	$0.168483\pi$
$488$	−3.63737	−	6.30010i	−0.164656	−	0.285192i
$489$	−4.67973			−0.211625
$490$	5.41732	+	3.00589i	0.244730	+	0.135792i
$491$	−20.5054			−0.925396			−0.462698	−	0.886516i	$-0.653119\pi$
$491$	−20.5054			−0.925396			−0.462698	+	0.886516i	$0.653119\pi$
$492$	3.06890	+	5.31548i	0.138357	+	0.239640i
$493$	2.02209	−	3.50237i	0.0910705	−	0.157739i
$494$	−11.9959	+	20.7775i	−0.539722	+	0.934825i
$495$	−3.00652	−	5.20744i	−0.135133	−	0.234057i
$496$	0.848891			0.0381163
$497$	−14.4459	+	14.6940i	−0.647987	+	0.659116i
$498$	−3.34781			−0.150019
$499$	6.78240	+	11.7475i	0.303622	+	0.525888i	0.976954	−	0.213452i	$-0.0684707\pi$
$499$	6.78240	+	11.7475i	0.303622	+	0.525888i	−0.673332	+	0.739341i	$0.735137\pi$
$500$	0.608339	−	1.05367i	0.0272058	−	0.0471218i
$501$	2.22354	−	3.85129i	0.0993406	−	0.172063i
$502$	9.73383	+	16.8595i	0.434442	+	0.752476i
$503$	−12.7401			−0.568052			−0.284026	−	0.958817i	$-0.591670\pi$
$503$	−12.7401			−0.568052			−0.284026	+	0.958817i	$0.591670\pi$
$504$	−19.2811	−	4.99082i	−0.858850	−	0.222309i
$505$	−4.77258			−0.212377
$506$	−4.35851	−	7.54917i	−0.193760	−	0.335601i
$507$	−0.261611	+	0.453124i	−0.0116186	+	0.0201239i
$508$	5.80230	−	10.0499i	0.257435	−	0.445891i
$509$	5.09841	+	8.83070i	0.225983	+	0.391414i	0.956614	−	0.291359i	$-0.0941073\pi$
$509$	5.09841	+	8.83070i	0.225983	+	0.391414i	−0.730631	+	0.682773i	$0.760774\pi$
$510$	0.527952			0.0233781
$511$	3.73915	+	13.4941i	0.165410	+	0.596944i
$512$	−0.976564			−0.0431585
$513$	12.2501	+	21.2177i	0.540853	+	0.936785i
$514$	−6.32149	+	10.9491i	−0.278829	+	0.482946i
$515$	7.27464	−	12.6000i	0.320559	−	0.555224i
$516$	−3.90375	−	6.76150i	−0.171853	−	0.297658i
$517$	8.77905			0.386102
$518$	3.33902	+	12.0501i	0.146708	+	0.529450i
$519$	−7.67657			−0.336964
$520$	5.30270	+	9.18455i	0.232539	+	0.402769i
$521$	−4.76211	+	8.24822i	−0.208632	+	0.361361i	−0.951284	−	0.308317i	$-0.900234\pi$
$521$	−4.76211	+	8.24822i	−0.208632	+	0.361361i	0.742652	+	0.669678i	$0.233568\pi$
$522$	−4.73216	+	8.19634i	−0.207121	+	0.358744i
$523$	6.42600	+	11.1302i	0.280989	+	0.486688i	0.971629	−	0.236512i	$-0.0760041\pi$
$523$	6.42600	+	11.1302i	0.280989	+	0.486688i	−0.690639	+	0.723199i	$0.742671\pi$
$524$	10.7876			0.471257
$525$	−1.52789	−	0.395486i	−0.0666825	−	0.0172604i
$526$	−17.0720			−0.744377
$527$	4.91626	+	8.51521i	0.214156	+	0.370928i
$528$	−0.0585581	+	0.101426i	−0.00254841	+	0.00441398i
$529$	2.12099	−	3.67366i	0.0922169	−	0.159724i
$530$	−1.10694	−	1.91727i	−0.0480823	−	0.0832809i
$531$	37.2076			1.61467
$532$	−16.4219	+	16.7040i	−0.711981	+	0.724209i
$533$	31.5037			1.36458
$534$	1.32465	+	2.29435i	0.0573230	+	0.0992864i
$535$	7.22817	−	12.5196i	0.312501	−	0.541267i
$536$	−8.89038	+	15.3986i	−0.384006	+	0.665117i
$537$	−3.99002	−	6.91092i	−0.172182	−	0.298228i
$538$	22.5544			0.972389
$539$	−13.9194	−	7.72339i	−0.599550	−	0.332670i
$540$	4.09638			0.176280
$541$	9.11472	+	15.7872i	0.391873	+	0.678743i	0.992697	−	0.120638i	$-0.0384941\pi$
$541$	9.11472	+	15.7872i	0.391873	+	0.678743i	−0.600824	+	0.799381i	$0.705161\pi$
$542$	−13.1132	+	22.7127i	−0.563260	+	0.975596i
$543$	2.00573	−	3.47402i	0.0860739	−	0.149084i
$544$	−2.80873	−	4.86486i	−0.120423	−	0.208579i
$545$	10.6994			0.458310
$546$	3.64795	−	3.71060i	0.156118	−	0.158799i
$547$	25.9964			1.11153			0.555763	−	0.831341i	$-0.312426\pi$
$547$	25.9964			1.11153			0.555763	+	0.831341i	$0.312426\pi$
$548$	−7.47178	−	12.9415i	−0.319178	−	0.552833i
$549$	−3.37830	+	5.85138i	−0.144182	+	0.249731i
$550$	1.00634	−	1.74303i	0.0429105	−	0.0743232i
$551$	14.7145	+	25.4862i	0.626857	+	1.08575i
$552$	7.35522			0.313059
$553$	30.6902	+	7.94401i	1.30508	+	0.337814i
$554$	14.7726			0.627628
$555$	−1.59268	−	2.75861i	−0.0676057	−	0.117096i
$556$	13.3408	−	23.1069i	0.565774	−	0.979950i
$557$	−16.6943	+	28.9154i	−0.707360	+	1.22518i	0.258473	+	0.966019i	$0.416781\pi$
$557$	−16.6943	+	28.9154i	−0.707360	+	1.22518i	−0.965833	+	0.259165i	$0.916553\pi$
$558$	−11.5052	−	19.9275i	−0.487053	−	0.843600i
$559$	−40.0739			−1.69494
$560$	−0.0609960	−	0.220127i	−0.00257755	−	0.00930204i
$561$	−1.35653			−0.0572728
$562$	12.4172	+	21.5073i	0.523789	+	0.907229i
$563$	−7.78032	+	13.4759i	−0.327901	+	0.567942i	−0.982095	−	0.188385i	$-0.939675\pi$
$563$	−7.78032	+	13.4759i	−0.327901	+	0.567942i	0.654194	+	0.756327i	$0.273008\pi$
$564$	−1.40092	+	2.42647i	−0.0589894	+	0.102173i
$565$	2.40703	+	4.16910i	0.101265	+	0.175395i
$566$	−23.8839			−1.00392
$567$	4.18540	+	15.1045i	0.175770	+	0.634331i
$568$	22.1726			0.930343
$569$	15.8738	+	27.4942i	0.665463	+	1.15262i	0.979160	+	0.203093i	$0.0650992\pi$
$569$	15.8738	+	27.4942i	0.665463	+	1.15262i	−0.313696	+	0.949523i	$0.601567\pi$
$570$	−1.92092	+	3.32712i	−0.0804583	+	0.139358i
$571$	−3.67264	+	6.36120i	−0.153695	+	0.266208i	−0.932583	−	0.360955i	$-0.882451\pi$
$571$	−3.67264	+	6.36120i	−0.153695	+	0.266208i	0.778888	+	0.627163i	$0.215784\pi$
$572$	−5.15348	−	8.92609i	−0.215478	−	0.373219i
$573$	7.81505			0.326478
$574$	−19.1711	−	4.96235i	−0.800188	−	0.207125i
$575$	−4.33105			−0.180617
$576$	6.80136	+	11.7803i	0.283390	+	0.490846i
$577$	−8.25750	+	14.3024i	−0.343764	+	0.595417i	−0.985128	−	0.171820i	$-0.945035\pi$
$577$	−8.25750	+	14.3024i	−0.343764	+	0.595417i	0.641364	+	0.767237i	$0.278369\pi$
$578$	−0.442527	+	0.766480i	−0.0184067	+	0.0318813i
$579$	−4.20867	−	7.28964i	−0.174907	−	0.302947i
$580$	4.92047			0.204312
$581$	−11.7617	+	11.9637i	−0.487959	+	0.496339i
$582$	1.18494			0.0491173
$583$	2.84419	+	4.92627i	0.117794	+	0.204025i
$584$	7.53367	−	13.0487i	0.311746	−	0.539959i
$585$	4.92502	−	8.53039i	0.203625	−	0.352688i
$586$	9.64365	+	16.7033i	0.398376	+	0.690007i
$587$	−15.2304			−0.628624			−0.314312	−	0.949320i	$-0.601774\pi$
$587$	−15.2304			−0.628624			−0.314312	+	0.949320i	$0.601774\pi$
$588$	4.35587	−	2.61475i	0.179633	−	0.107830i
$589$	−71.5498			−2.94816
$590$	6.22706	+	10.7856i	0.256364	+	0.444036i
$591$	−4.79406	+	8.30356i	−0.197201	+	0.341563i
$592$	0.230511	−	0.399257i	0.00947396	−	0.0164094i
$593$	3.43802	+	5.95482i	0.141182	+	0.244535i	0.927942	−	0.372724i	$-0.121576\pi$
$593$	3.43802	+	5.95482i	0.141182	+	0.244535i	−0.786760	+	0.617259i	$0.788243\pi$
$594$	6.77640			0.278039
$595$	1.85483	−	1.88669i	0.0760408	−	0.0773467i
$596$	2.76554			0.113281
$597$	−4.84786	−	8.39675i	−0.198410	−	0.343656i
$598$	7.13975	−	12.3664i	0.291966	−	0.505700i
$599$	13.7203	−	23.7642i	0.560596	−	0.970981i	−0.436849	−	0.899535i	$-0.643905\pi$
$599$	13.7203	−	23.7642i	0.560596	−	0.970981i	0.997444	−	0.0714456i	$-0.0227612\pi$
$600$	0.849126	+	1.47073i	0.0346654	+	0.0600423i
$601$	9.15050			0.373257			0.186628	−	0.982431i	$-0.440244\pi$
$601$	9.15050			0.373257			0.186628	+	0.982431i	$0.440244\pi$
$602$	24.3864	+	6.31230i	0.993917	+	0.257270i
$603$	16.5143			0.672515
$604$	−2.88866	−	5.00330i	−0.117538	−	0.203581i
$605$	2.91429	−	5.04770i	0.118483	−	0.205218i
$606$	1.25985	−	2.18212i	0.0511778	−	0.0886426i
$607$	4.00040	+	6.92889i	0.162371	+	0.281235i	0.935719	−	0.352747i	$-0.114752\pi$
$607$	4.00040	+	6.92889i	0.162371	+	0.281235i	−0.773347	+	0.633982i	$0.781419\pi$
$608$	40.8774			1.65780
$609$	−1.70439	−	6.15093i	−0.0690655	−	0.249248i
$610$	−2.26157			−0.0915682
$611$	7.19056	+	12.4544i	0.290899	+	0.503852i
$612$	−1.60855	+	2.78609i	−0.0650218	+	0.112621i
$613$	−14.1005	+	24.4228i	−0.569514	+	0.986427i	0.427100	+	0.904204i	$0.359535\pi$
$613$	−14.1005	+	24.4228i	−0.569514	+	0.986427i	−0.996614	+	0.0822226i	$0.973798\pi$
$614$	−11.1897	−	19.3811i	−0.451578	−	0.782156i
$615$	5.04471			0.203422
$616$	4.57401	+	16.5070i	0.184292	+	0.665085i
$617$	−4.31063			−0.173539			−0.0867697	−	0.996228i	$-0.527654\pi$
$617$	−4.31063			−0.173539			−0.0867697	+	0.996228i	$0.527654\pi$
$618$	3.84066	+	6.65222i	0.154494	+	0.267592i
$619$	−17.7219	+	30.6953i	−0.712304	+	1.23375i	0.251686	+	0.967809i	$0.419015\pi$
$619$	−17.7219	+	30.6953i	−0.712304	+	1.23375i	−0.963990	+	0.265938i	$0.914318\pi$
$620$	−5.98151	+	10.3603i	−0.240223	+	0.416079i
$621$	−7.29101	−	12.6284i	−0.292578	−	0.506760i
$622$	2.01053			0.0806149
$623$	12.8529	+	3.32691i	0.514941	+	0.133290i
$624$	−0.191850			−0.00768014
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	1.41850	−	2.45691i	0.0566946	−	0.0981980i
$627$	4.93564	−	8.54877i	0.197110	−	0.341405i
$628$	−2.26168	−	3.91734i	−0.0902508	−	0.156319i
$629$	5.33992			0.212917
$630$	−4.34074	+	4.41528i	−0.172939	+	0.175909i
$631$	−32.7872			−1.30524			−0.652620	−	0.757686i	$-0.726330\pi$
$631$	−32.7872			−1.30524			−0.652620	+	0.757686i	$0.726330\pi$
$632$	−17.0562	−	29.5421i	−0.678457	−	1.17512i
$633$	−4.53577	+	7.85618i	−0.180281	+	0.312255i
$634$	−9.99400	+	17.3101i	−0.396912	+	0.687472i
$635$	−4.76897	−	8.26009i	−0.189251	−	0.327792i
$636$	−1.81545			−0.0719872
$637$	−0.443990	−	26.0726i	−0.0175915	−	1.03304i
$638$	8.13965			0.322252
$639$	−10.2967	−	17.8344i	−0.407331	−	0.705518i
$640$	3.34091	−	5.78663i	0.132061	−	0.228737i
$641$	−21.2258	+	36.7641i	−0.838368	+	1.45210i	0.0528913	+	0.998600i	$0.483156\pi$
$641$	−21.2258	+	36.7641i	−0.838368	+	1.45210i	−0.891259	+	0.453495i	$0.850177\pi$
$642$	3.81613	+	6.60973i	0.150611	+	0.260865i
$643$	−37.0923			−1.46278			−0.731388	−	0.681962i	$-0.761127\pi$
$643$	−37.0923			−1.46278			−0.731388	+	0.681962i	$0.761127\pi$
$644$	9.77405	−	9.94191i	0.385151	−	0.391766i
$645$	−6.41706			−0.252672
$646$	−3.22021	−	5.57756i	−0.126697	−	0.219446i
$647$	−2.82818	+	4.89856i	−0.111187	+	0.192582i	−0.916249	−	0.400609i	$-0.868799\pi$
$647$	−2.82818	+	4.89856i	−0.111187	+	0.192582i	0.805062	+	0.593191i	$0.202132\pi$
$648$	8.43276	−	14.6060i	0.331270	−	0.573777i
$649$	−15.9999	−	27.7127i	−0.628052	−	1.08782i
$650$	3.29701			0.129319
$651$	15.0230	+	3.88862i	0.588797	+	0.152407i
$652$	9.54491			0.373807
$653$	−20.7829	−	35.9970i	−0.813297	−	1.40867i	−0.910545	−	0.413411i	$-0.864337\pi$
$653$	−20.7829	−	35.9970i	−0.813297	−	1.40867i	0.0972480	−	0.995260i	$-0.468996\pi$
$654$	−2.82438	+	4.89196i	−0.110442	+	0.191291i
$655$	4.43321	−	7.67854i	0.173220	−	0.300025i
$656$	0.365064	+	0.632309i	0.0142533	+	0.0246875i
$657$	−13.9942			−0.545965
$658$	−2.41394	−	8.71160i	−0.0941053	−	0.339614i
$659$	29.0580			1.13194			0.565970	−	0.824426i	$-0.308502\pi$
$659$	29.0580			1.13194			0.565970	+	0.824426i	$0.308502\pi$
$660$	−0.825231	−	1.42934i	−0.0321221	−	0.0556371i
$661$	−8.16887	+	14.1489i	−0.317732	+	0.550328i	−0.980014	−	0.198926i	$-0.936255\pi$
$661$	−8.16887	+	14.1489i	−0.317732	+	0.550328i	0.662282	+	0.749254i	$0.269588\pi$
$662$	6.74278	−	11.6788i	0.262066	−	0.453911i
$663$	−1.11108	−	1.92444i	−0.0431507	−	0.0747392i
$664$	18.0528			0.700584
$665$	5.14112	+	18.5536i	0.199364	+	0.719479i
$666$	−12.4966			−0.484235
$667$	−8.75779	−	15.1689i	−0.339103	−	0.587344i
$668$	−4.53521	+	7.85521i	−0.175472	+	0.303927i
$669$	−1.86922	+	3.23759i	−0.0722684	+	0.125172i
$670$	2.76384	+	4.78711i	0.106776	+	0.184942i
$671$	5.81091			0.224328
$672$	−8.58285	−	2.22163i	−0.331090	−	0.0857011i
$673$	−13.1129			−0.505465			−0.252733	−	0.967536i	$-0.581329\pi$
$673$	−13.1129			−0.505465			−0.252733	+	0.967536i	$0.581329\pi$
$674$	4.80153	+	8.31650i	0.184948	+	0.320339i
$675$	1.68343	−	2.91578i	0.0647951	−	0.112228i
$676$	0.533590	−	0.924204i	0.0205227	−	0.0355463i
$677$	−11.9652	−	20.7243i	−0.459860	−	0.796501i	0.539093	−	0.842246i	$-0.318767\pi$
$677$	−11.9652	−	20.7243i	−0.459860	−	0.796501i	−0.998953	+	0.0457450i	$0.985434\pi$
$678$	−2.54159			−0.0976094
$679$	4.16300	−	4.23450i	0.159761	−	0.162505i
$680$	−2.84694			−0.109175
$681$	−3.37007	−	5.83712i	−0.129141	−	0.223679i
$682$	−9.89486	+	17.1384i	−0.378894	+	0.656263i
$683$	23.1638	−	40.1208i	0.886337	−	1.53518i	0.0421631	−	0.999111i	$-0.486575\pi$
$683$	23.1638	−	40.1208i	0.886337	−	1.53518i	0.844174	−	0.536070i	$-0.180092\pi$
$684$	−11.7052	−	20.2740i	−0.447559	−	0.775194i
$685$	−12.2822			−0.469281
$686$	−3.83669	+	15.9361i	−0.146485	+	0.608443i
$687$	1.10992			0.0423461
$688$	−0.464375	−	0.804321i	−0.0177041	−	0.0306645i
$689$	−4.65911	+	8.06981i	−0.177498	+	0.307435i
$690$	1.14329	−	1.98024i	0.0435245	−	0.0753866i
$691$	−19.8765	−	34.4270i	−0.756136	−	1.30967i	−0.944808	−	0.327625i	$-0.893752\pi$
$691$	−19.8765	−	34.4270i	−0.756136	−	1.30967i	0.188672	−	0.982040i	$-0.439582\pi$
$692$	15.6574			0.595203
$693$	11.1532	−	11.3447i	0.423674	−	0.430950i
$694$	−2.46015			−0.0933860
$695$	−10.9649	−	18.9918i	−0.415922	−	0.720398i
$696$	−3.43402	+	5.94790i	−0.130166	+	0.225455i
$697$	−4.22845	+	7.32390i	−0.160164	+	0.277412i
$698$	8.81443	+	15.2670i	0.333631	+	0.577866i
$699$	−11.0170			−0.416700
$700$	3.11632	+	0.806644i	0.117786	+	0.0304883i
$701$	−6.87227			−0.259562			−0.129781	−	0.991543i	$-0.541427\pi$
$701$	−6.87227			−0.259562			−0.129781	+	0.991543i	$0.541427\pi$
$702$	5.55027	+	9.61335i	0.209481	+	0.362832i
$703$	−19.4289	+	33.6519i	−0.732776	+	1.26920i
$704$	5.84941	−	10.1315i	0.220458	−	0.381844i
$705$	1.15143	+	1.99433i	0.0433654	+	0.0751110i
$706$	0.561113			0.0211178
$707$	−3.37184	−	12.1685i	−0.126811	−	0.457645i
$708$	10.2128			0.383820
$709$	1.96141	+	3.39725i	0.0736621	+	0.127587i	0.900504	−	0.434848i	$-0.143198\pi$
$709$	1.96141	+	3.39725i	0.0736621	+	0.127587i	−0.826842	+	0.562435i	$0.809865\pi$
$710$	3.44651	−	5.96953i	0.129345	−	0.224033i
$711$	−15.8413	+	27.4380i	−0.594097	+	1.02901i
$712$	−7.14303	−	12.3721i	−0.267697	−	0.463664i
$713$	42.5852			1.59483
$714$	0.373000	+	1.34611i	0.0139592	+	0.0503768i
$715$	−8.47139			−0.316812
$716$	8.13816	+	14.0957i	0.304137	+	0.526782i
$717$	−6.16071	+	10.6707i	−0.230076	+	0.398503i
$718$	−6.58362	+	11.4032i	−0.245698	+	0.425562i
$719$	14.0016	+	24.2515i	0.522172	+	0.904429i	0.999667	+	0.0257943i	$0.00821148\pi$
$719$	14.0016	+	24.2515i	0.522172	+	0.904429i	−0.477495	+	0.878634i	$0.658455\pi$
$720$	0.228284			0.00850765
$721$	37.2656	+	9.64601i	1.38784	+	0.359236i
$722$	30.0499			1.11834
$723$	5.27688	+	9.13982i	0.196249	+	0.339914i
$724$	−4.09094	+	7.08571i	−0.152039	+	0.263338i
$725$	2.02209	−	3.50237i	0.0750986	−	0.130075i
$726$	1.53861	+	2.66494i	0.0571030	+	0.0989053i
$727$	17.9886			0.667158			0.333579	−	0.942722i	$-0.391744\pi$
$727$	17.9886			0.667158			0.333579	+	0.942722i	$0.391744\pi$
$728$	−19.6713	+	20.0091i	−0.729066	+	0.741587i
$729$	−9.63911			−0.357004
$730$	−2.34207	−	4.05658i	−0.0866837	−	0.150141i
$731$	5.37875	−	9.31627i	0.198940	−	0.344575i
$732$	−0.927278	+	1.60609i	−0.0342732	+	0.0593629i
$733$	−18.0786	−	31.3131i	−0.667749	−	1.15658i	−0.978532	−	0.206095i	$-0.933924\pi$
$733$	−18.0786	−	31.3131i	−0.667749	−	1.15658i	0.310783	−	0.950481i	$-0.399409\pi$
$734$	−17.0550			−0.629512
$735$	−0.0710965	−	4.17503i	−0.00262244	−	0.153998i
$736$	−24.3295			−0.896798
$737$	−7.10146	−	12.3001i	−0.261586	−	0.453079i
$738$	9.89555	−	17.1396i	0.364260	−	0.630917i
$739$	−10.4888	+	18.1671i	−0.385836	+	0.668288i	−0.991885	−	0.127140i	$-0.959420\pi$
$739$	−10.4888	+	18.1671i	−0.385836	+	0.668288i	0.606049	+	0.795428i	$0.292754\pi$
$740$	3.24849	+	5.62654i	0.119417	+	0.206836i
$741$	16.1703			0.594031
$742$	4.10637	−	4.17689i	0.150750	−	0.153338i
$743$	−15.8212			−0.580425			−0.290212	−	0.956962i	$-0.593726\pi$
$743$	−15.8212			−0.580425			−0.290212	+	0.956962i	$0.593726\pi$
$744$	−8.34905	−	14.4610i	−0.306091	−	0.530165i
$745$	1.13651	−	1.96849i	0.0416385	−	0.0721200i
$746$	10.7272	−	18.5801i	0.392751	−	0.680265i
$747$	−8.38350	−	14.5206i	−0.306736	−	0.531282i
$748$	2.76682			0.101165
$749$	37.0275	+	9.58439i	1.35296	+	0.350206i
$750$	0.527952			0.0192781
$751$	−12.5319	−	21.7060i	−0.457297	−	0.792062i	0.541520	−	0.840688i	$-0.317849\pi$
$751$	−12.5319	−	21.7060i	−0.457297	−	0.792062i	−0.998817	+	0.0486262i	$0.984516\pi$
$752$	−0.166648	+	0.288643i	−0.00607703	+	0.0105257i
$753$	6.56052	−	11.3632i	0.239079	−	0.414097i
$754$	6.66685	+	11.5473i	0.242792	+	0.420529i
$755$	−4.74843			−0.172813
$756$	2.89411	+	10.4444i	0.105258	+	0.379861i
$757$	50.1293			1.82198			0.910991	−	0.412427i	$-0.135319\pi$
$757$	50.1293			1.82198			0.910991	+	0.412427i	$0.135319\pi$
$758$	−8.89461	−	15.4059i	−0.323067	−	0.559568i
$759$	−2.93760	+	5.08808i	−0.106628	+	0.184686i
$760$	10.3584	−	17.9412i	0.375737	−	0.650796i
$761$	−15.8515	−	27.4555i	−0.574615	−	0.995262i	−0.996083	−	0.0884193i	$-0.971818\pi$
$761$	−15.8515	−	27.4555i	−0.574615	−	0.995262i	0.421468	−	0.906843i	$-0.361515\pi$
$762$	5.03557			0.182420
$763$	7.55913	+	27.2799i	0.273659	+	0.987599i
$764$	−15.9398			−0.576682
$765$	1.32208	+	2.28991i	0.0478000	+	0.0827920i
$766$	2.77259	−	4.80227i	0.100178	−	0.173513i
$767$	26.2098	−	45.3966i	0.946379	−	1.63918i
$768$	4.83259	+	8.37030i	0.174381	+	0.302037i
$769$	−3.24651			−0.117072			−0.0585360	−	0.998285i	$-0.518643\pi$
$769$	−3.24651			−0.117072			−0.0585360	+	0.998285i	$0.518643\pi$
$770$	5.15515	+	1.33438i	0.185779	+	0.0480879i
$771$	8.52127			0.306886
$772$	8.58414	+	14.8682i	0.308950	+	0.535117i
$773$	1.13452	−	1.96505i	0.0408060	−	0.0706781i	−0.844901	−	0.534923i	$-0.820341\pi$
$773$	1.13452	−	1.96505i	0.0408060	−	0.0706781i	0.885707	+	0.464245i	$0.153674\pi$
$774$	−12.5875	+	21.8022i	−0.452449	+	0.783664i
$775$	4.91626	+	8.51521i	0.176597	+	0.305875i
$776$	−6.38968			−0.229376
$777$	5.90833	−	6.00980i	0.211960	−	0.215600i
$778$	−21.2015			−0.760109
$779$	−30.7698	−	53.2949i	−1.10244	−	1.90949i
$780$	1.35182	−	2.34143i	0.0484031	−	0.0838366i
$781$	−8.85553	+	15.3382i	−0.316876	+	0.548845i
$782$	1.91661	+	3.31966i	0.0685378	+	0.118711i
$783$	13.6162			0.486603
$784$	0.518158	−	0.311040i	0.0185056	−	0.0111086i
$785$	−3.71779			−0.132694
$786$	2.34052	+	4.05390i	0.0834836	+	0.144598i
$787$	1.53440	−	2.65766i	0.0546954	−	0.0947352i	−0.837381	−	0.546619i	$-0.815915\pi$
$787$	1.53440	−	2.65766i	0.0546954	−	0.0947352i	0.892077	+	0.451884i	$0.149248\pi$
$788$	9.77811	−	16.9362i	0.348331	−	0.603326i
$789$	5.75321	+	9.96486i	0.204820	+	0.354758i
$790$	−10.6048			−0.377303
$791$	−8.92928	+	9.08264i	−0.317489	+	0.322941i
$792$	−17.1187			−0.608287
$793$	4.75948	+	8.24366i	0.169014	+	0.292741i
$794$	−1.02865	+	1.78167i	−0.0365054	+	0.0632291i
$795$	−0.746067	+	1.29223i	−0.0264603	+	0.0458305i
$796$	9.88785	+	17.1263i	0.350465	+	0.607024i
$797$	−34.3260			−1.21589			−0.607946	−	0.793979i	$-0.708006\pi$
$797$	−34.3260			−1.21589			−0.607946	+	0.793979i	$0.708006\pi$
$798$	−9.84022	−	2.54709i	−0.348340	−	0.0901660i
$799$	−3.86049			−0.136574
$800$	−2.80873	−	4.86486i	−0.0993036	−	0.171999i
$801$	−6.63428	+	11.4909i	−0.234411	+	0.406011i
$802$	10.1425	−	17.5674i	0.358145	−	0.620325i
$803$	6.01775	+	10.4230i	0.212362	+	0.367821i
$804$	4.53287			0.159862
$805$	−3.05990	−	11.0428i	−0.107847	−	0.389207i
$806$	−32.4179			−1.14187
$807$	−7.60074	−	13.1649i	−0.267559	−	0.463426i
$808$	−6.79362	+	11.7669i	−0.238999	+	0.413958i
$809$	11.7387	−	20.3320i	0.412711	−	0.714836i	−0.582474	−	0.812849i	$-0.697915\pi$
$809$	11.7387	−	20.3320i	0.412711	−	0.714836i	0.995185	+	0.0980132i	$0.0312487\pi$
$810$	−2.62157	−	4.54070i	−0.0921127	−	0.159544i
$811$	31.8157			1.11720			0.558600	−	0.829437i	$-0.311339\pi$
$811$	31.8157			1.11720			0.558600	+	0.829437i	$0.311339\pi$
$812$	3.47633	+	12.5456i	0.121995	+	0.440265i
$813$	17.6764			0.619938
$814$	5.37378	+	9.30766i	0.188351	+	0.326233i
$815$	3.92253	−	6.79401i	0.137400	−	0.237984i
$816$	0.0257503	−	0.0446008i	0.000901440	−	0.00156134i
$817$	39.1404	+	67.7932i	1.36935	+	2.37178i
$818$	9.85039			0.344411
$819$	25.2293	+	6.53047i	0.881582	+	0.228193i
$820$	−10.2893			−0.359319
$821$	−2.87182	−	4.97413i	−0.100227	−	0.173598i	0.811551	−	0.584282i	$-0.198624\pi$
$821$	−2.87182	−	4.97413i	−0.100227	−	0.173598i	−0.911778	+	0.410683i	$0.865290\pi$
$822$	3.24222	−	5.61569i	0.113085	−	0.195870i
$823$	−4.60886	+	7.98277i	−0.160655	+	0.278262i	−0.935104	−	0.354374i	$-0.884694\pi$
$823$	−4.60886	+	7.98277i	−0.160655	+	0.278262i	0.774449	+	0.632636i	$0.218027\pi$
$824$	−20.7104	−	35.8715i	−0.721482	−	1.24964i
$825$	−1.35653			−0.0472283
$826$	−23.1003	+	23.4970i	−0.803763	+	0.817567i
$827$	−42.3118			−1.47132			−0.735662	−	0.677349i	$-0.763129\pi$
$827$	−42.3118			−1.47132			−0.735662	+	0.677349i	$0.763129\pi$
$828$	6.96671	+	12.0667i	0.242110	+	0.419347i
$829$	23.3284	−	40.4060i	0.810229	−	1.40336i	−0.102474	−	0.994736i	$-0.532676\pi$
$829$	23.3284	−	40.4060i	0.810229	−	1.40336i	0.912703	−	0.408623i	$-0.133991\pi$
$830$	2.80612	−	4.86035i	0.0974019	−	0.168705i
$831$	−4.97831	−	8.62269i	−0.172696	−	0.299118i
$832$	19.1640			0.664393
$833$	6.12089	+	3.39627i	0.212076	+	0.117674i
$834$	11.5779			0.400909
$835$	3.72753	+	6.45627i	0.128997	+	0.223428i
$836$	−10.0669	+	17.4363i	−0.348170	+	0.603048i
$837$	−16.5523	+	28.6695i	−0.572132	+	0.990962i
$838$	−2.61914	−	4.53649i	−0.0904767	−	0.156710i
$839$	17.7067			0.611302			0.305651	−	0.952144i	$-0.401126\pi$
$839$	17.7067			0.611302			0.305651	+	0.952144i	$0.401126\pi$
$840$	−3.14998	+	3.20407i	−0.108684	+	0.110551i
$841$	−12.6446			−0.436020
$842$	−1.04612	−	1.81193i	−0.0360517	−	0.0624433i
$843$	8.36911	−	14.4957i	0.288247	−	0.499259i
$844$	9.25128	−	16.0237i	0.318442	−	0.551558i
$845$	−0.438562	−	0.759612i	−0.0150870	−	0.0261315i
$846$	9.03444			0.310610
$847$	14.9290	+	3.86428i	0.512965	+	0.132778i
$848$	−0.215958			−0.00741604
$849$	8.04879	+	13.9409i	0.276234	+	0.478451i
$850$	−0.442527	+	0.766480i	−0.0151786	+	0.0262900i
$851$	11.5637	−	20.0290i	0.396400	−	0.686585i
$852$	−2.82625	−	4.89521i	−0.0968257	−	0.167707i
$853$	23.4854			0.804123			0.402062	−	0.915613i	$-0.368294\pi$
$853$	23.4854			0.804123			0.402062	+	0.915613i	$0.368294\pi$
$854$	−1.59780	−	5.76626i	−0.0546757	−	0.197318i
$855$	−19.2412			−0.658035
$856$	−20.5781	−	35.6424i	−0.703346	−	1.21823i
$857$	7.75541	−	13.4328i	0.264920	−	0.458854i	−0.702623	−	0.711562i	$-0.747988\pi$
$857$	7.75541	−	13.4328i	0.264920	−	0.458854i	0.967543	+	0.252708i	$0.0813212\pi$
$858$	2.23624	−	3.87329i	0.0763441	−	0.132232i
$859$	−6.07153	−	10.5162i	−0.207158	−	0.358808i	0.743660	−	0.668558i	$-0.233088\pi$
$859$	−6.07153	−	10.5162i	−0.207158	−	0.358808i	−0.950818	+	0.309750i	$0.899755\pi$
$860$	13.0884			0.446312
$861$	3.56410	+	12.8624i	0.121464	+	0.438349i
$862$	4.05283			0.138040
$863$	−24.8722	−	43.0798i	−0.846658	−	1.46645i	−0.884173	−	0.467159i	$-0.845278\pi$
$863$	−24.8722	−	43.0798i	−0.846658	−	1.46645i	0.0375153	−	0.999296i	$-0.488056\pi$
$864$	9.45658	−	16.3793i	0.321720	−	0.557235i
$865$	6.43446	−	11.1448i	0.218778	−	0.378935i
$866$	−11.8958	−	20.6042i	−0.404236	−	0.700158i
$867$	0.596520			0.0202589
$868$	−30.6413	−	7.93134i	−1.04003	−	0.269207i
$869$	27.2482			0.924333
$870$	1.06757	+	1.84908i	0.0361939	+	0.0626898i
$871$	11.6330	−	20.1490i	0.394170	−	0.682722i
$872$	15.2302	−	26.3795i	0.515759	−	0.893322i
$873$	2.96729	+	5.13950i	0.100428	+	0.173946i
$874$	−27.8938			−0.943520
$875$	1.85483	−	1.88669i	0.0627048	−	0.0637817i
$876$	−3.84114			−0.129780
$877$	−27.4843	−	47.6041i	−0.928077	−	1.60748i	−0.786536	−	0.617545i	$-0.788127\pi$
$877$	−27.4843	−	47.6041i	−0.928077	−	1.60748i	−0.141542	−	0.989932i	$-0.545206\pi$
$878$	11.6650	−	20.2044i	0.393675	−	0.681864i
$879$	6.49975	−	11.2579i	0.219231	−	0.379719i
$880$	−0.0981662	−	0.170029i	−0.00330918	−	0.00573167i
$881$	−7.75951			−0.261425			−0.130712	−	0.991420i	$-0.541726\pi$
$881$	−7.75951			−0.261425			−0.130712	+	0.991420i	$0.541726\pi$
$882$	−14.3243	−	7.94806i	−0.482324	−	0.267625i
$883$	3.35193			0.112801			0.0564007	−	0.998408i	$-0.482038\pi$
$883$	3.35193			0.112801			0.0564007	+	0.998408i	$0.482038\pi$
$884$	2.26619	+	3.92515i	0.0762201	+	0.132017i
$885$	4.19699	−	7.26940i	0.141080	−	0.244358i
$886$	−18.3199	+	31.7310i	−0.615469	+	1.06602i
$887$	22.6522	+	39.2348i	0.760588	+	1.31738i	0.942548	+	0.334070i	$0.108422\pi$
$887$	22.6522	+	39.2348i	0.760588	+	1.31738i	−0.181961	+	0.983306i	$0.558244\pi$
$888$	−9.06854			−0.304320
$889$	17.6913	−	17.9951i	0.593346	−	0.603536i
$890$	−4.44125			−0.148871
$891$	6.73593	+	11.6670i	0.225662	+	0.390858i
$892$	3.81252	−	6.60349i	0.127653	−	0.221101i
$893$	14.0461	−	24.3286i	0.470036	−	0.814125i
$894$	0.600023	+	1.03927i	0.0200678	+	0.0347584i
$895$	13.3777			0.447166
$896$	17.1144	+	4.42997i	0.571752	+	0.147995i
$897$	−9.62427			−0.321345
$898$	−12.0358	−	20.8467i	−0.401641	−	0.695663i
$899$	−19.8823	+	34.4371i	−0.663110	+	1.14854i
$900$	−1.60855	+	2.78609i	−0.0536183	+	0.0928696i
$901$	−1.25070	−	2.16628i	−0.0416668	−	0.0721691i
$902$	−17.0211			−0.566739
$903$	−4.53368	−	16.3614i	−0.150871	−	0.544475i
$904$	13.7053			0.455832
$905$	3.36238	+	5.82381i	0.111769	+	0.193590i
$906$	1.25347	−	2.17108i	0.0416438	−	0.0721292i
$907$	−23.6152	+	40.9027i	−0.784129	+	1.35815i	0.145390	+	0.989374i	$0.453556\pi$
$907$	−23.6152	+	40.9027i	−0.784129	+	1.35815i	−0.929518	+	0.368776i	$0.879777\pi$
$908$	6.87368	+	11.9056i	0.228111	+	0.395100i
$909$	12.6195			0.418562
$910$	2.32935	+	8.40630i	0.0772170	+	0.278666i
$911$	15.6883			0.519777			0.259888	−	0.965639i	$-0.416314\pi$
$911$	15.6883			0.519777			0.259888	+	0.965639i	$0.416314\pi$
$912$	0.187381	+	0.324553i	0.00620480	+	0.0107470i
$913$	−7.21011	+	12.4883i	−0.238620	+	0.413301i
$914$	12.1896	−	21.1131i	0.403198	−	0.698359i
$915$	0.762139	+	1.32006i	0.0251955	+	0.0436399i
$916$	−2.26383			−0.0747990
$917$	22.7099	+	5.87833i	0.749946	+	0.194120i
$918$	−2.97985			−0.0983497
$919$	−3.55004	−	6.14885i	−0.117105	−	0.202832i	0.801514	−	0.597976i	$-0.204028\pi$
$919$	−3.55004	−	6.14885i	−0.117105	−	0.202832i	−0.918619	+	0.395144i	$0.870695\pi$
$920$	−6.16511	+	10.6783i	−0.203258	+	0.352053i
$921$	−7.54174	+	13.0627i	−0.248509	+	0.430430i
$922$	−0.590221	−	1.02229i	−0.0194379	−	0.0336674i
$923$	−29.0128			−0.954967
$924$	3.06133	−	3.11391i	0.100710	−	0.102440i
$925$	5.33992			0.175576
$926$	15.6409	+	27.0908i	0.513991	+	0.890258i
$927$	−19.2353	+	33.3166i	−0.631771	+	1.09426i
$928$	11.3590	−	19.6744i	0.372878	−	0.645844i
$929$	0.641848	+	1.11171i	0.0210583	+	0.0364741i	0.876363	−	0.481652i	$-0.159963\pi$
$929$	0.641848	+	1.11171i	0.0210583	+	0.0364741i	−0.855304	+	0.518126i	$0.826630\pi$
$930$	−5.19110			−0.170223
$931$	−43.6735	+	26.2164i	−1.43134	+	0.859208i
$932$	22.4705			0.736047
$933$	−0.677541	−	1.17353i	−0.0221817	−	0.0384198i
$934$	−6.63365	+	11.4898i	−0.217060	+	0.375958i
$935$	1.13704	−	1.96941i	0.0371851	−	0.0644065i
$936$	−14.0212	−	24.2855i	−0.458298	−	0.793795i
$937$	−34.0947			−1.11383			−0.556913	−	0.830571i	$-0.688014\pi$
$937$	−34.0947			−1.11383			−0.556913	+	0.830571i	$0.688014\pi$
$938$	−10.2529	+	10.4290i	−0.334770	+	0.340519i
$939$	−1.91211			−0.0623995
$940$	−2.34849	−	4.06770i	−0.0765993	−	0.132674i
$941$	13.4926	−	23.3699i	0.439847	−	0.761838i	−0.557830	−	0.829955i	$-0.688366\pi$
$941$	13.4926	−	23.3699i	0.439847	−	0.761838i	0.997677	+	0.0681175i	$0.0216993\pi$
$942$	0.981408	−	1.69985i	0.0319760	−	0.0553841i
$943$	18.3137	+	31.7202i	0.596375	+	1.03295i
$944$	1.21487			0.0395407
$945$	8.62365	+	2.23219i	0.280527	+	0.0726130i
$946$	21.6514			0.703949
$947$	−21.7204	−	37.6208i	−0.705818	−	1.22251i	−0.966396	−	0.257059i	$-0.917246\pi$
$947$	−21.7204	−	37.6208i	−0.705818	−	1.22251i	0.260578	−	0.965453i	$-0.416087\pi$
$948$	−4.34815	+	7.53121i	−0.141221	+	0.244602i
$949$	−9.85777	+	17.0742i	−0.319997	+	0.554251i
$950$	−3.22021	−	5.57756i	−0.104477	−	0.180960i
$951$	13.4718			0.436851
$952$	−2.01137	−	7.25877i	−0.0651889	−	0.235258i
$953$	−23.4050			−0.758163			−0.379082	−	0.925363i	$-0.623760\pi$
$953$	−23.4050			−0.758163			−0.379082	+	0.925363i	$0.623760\pi$
$954$	2.92692	+	5.06958i	0.0947626	+	0.164134i
$955$	−6.55054	+	11.3459i	−0.211971	+	0.367144i
$956$	12.5656	−	21.7642i	0.406399	−	0.703904i
$957$	−2.74303	−	4.75107i	−0.0886696	−	0.153580i
$958$	14.5744			0.470879
$959$	−8.67745	−	31.3158i	−0.280209	−	1.01124i
$960$	3.06875			0.0990435
$961$	−32.8392	−	56.8791i	−1.05933	−	1.83481i
$962$	−8.80288	+	15.2470i	−0.283816	+	0.491584i
$963$	−19.1125	+	33.1038i	−0.615891	+	1.06675i
$964$	−10.7629	−	18.6419i	−0.346649	−	0.600414i
$965$	14.1108			0.454242
$966$	5.85672	+	1.51598i	0.188437	+	0.0487759i
$967$	10.3885			0.334073			0.167037	−	0.985951i	$-0.446580\pi$
$967$	10.3885			0.334073			0.167037	+	0.985951i	$0.446580\pi$
$968$	−8.29679	−	14.3705i	−0.266669	−	0.461884i
$969$	−2.17039	+	3.75923i	−0.0697231	+	0.120764i
$970$	−0.993211	+	1.72029i	−0.0318901	+	0.0552353i
$971$	25.6332	+	44.3980i	0.822608	+	1.42480i	0.903734	+	0.428094i	$0.140815\pi$
$971$	25.6332	+	44.3980i	0.822608	+	1.42480i	−0.0811266	+	0.996704i	$0.525852\pi$
$972$	−16.5887			−0.532082
$973$	40.6761	−	41.3747i	1.30402	−	1.32641i
$974$	0.222888			0.00714179
$975$	−1.11108	−	1.92444i	−0.0355830	−	0.0616315i
$976$	−0.110305	+	0.191055i	−0.00353079	+	0.00611551i
$977$	5.96017	−	10.3233i	0.190683	−	0.330272i	−0.754794	−	0.655962i	$-0.772263\pi$
$977$	5.96017	−	10.3233i	0.190683	−	0.330272i	0.945477	+	0.325690i	$0.105597\pi$
$978$	2.07091	+	3.58691i	0.0662203	+	0.114697i
$979$	11.4114			0.364711
$980$	0.145011	+	8.51552i	0.00463219	+	0.272018i
$981$	−28.2909			−0.903258
$982$	9.07420	+	15.7170i	0.289569	+	0.501549i
$983$	4.92673	−	8.53334i	0.157138	−	0.272171i	−0.776697	−	0.629874i	$-0.783107\pi$
$983$	4.92673	−	8.53334i	0.157138	−	0.272171i	0.933836	+	0.357703i	$0.116440\pi$
$984$	7.18098	−	12.4378i	0.228921	−	0.396503i
$985$	−8.03672	−	13.9200i	−0.256071	−	0.443528i
$986$	−3.57932			−0.113989
$987$	−4.27142	+	4.34478i	−0.135961	+	0.138296i
$988$	−32.9814			−1.04928
$989$	−23.2957	−	40.3493i	−0.740759	−	1.28303i
$990$	−2.66093	+	4.60887i	−0.0845699	+	0.146479i
$991$	26.1843	−	45.3525i	0.831772	−	1.44067i	−0.0648600	−	0.997894i	$-0.520660\pi$
$991$	26.1843	−	45.3525i	0.831772	−	1.44067i	0.896632	−	0.442777i	$-0.146007\pi$
$992$	27.6169	+	47.8338i	0.876837	+	1.51873i
$993$	−9.08916			−0.288436
$994$	17.6553	+	4.57000i	0.559994	+	0.144951i
$995$	16.2538			0.515281
$996$	−2.30111	−	3.98564i	−0.0729134	−	0.126290i
$997$	−16.9106	+	29.2900i	−0.535563	+	0.927622i	0.463573	+	0.886059i	$0.346567\pi$
$997$	−16.9106	+	29.2900i	−0.535563	+	0.927622i	−0.999136	+	0.0415636i	$0.986766\pi$
$998$	6.00279	−	10.3971i	0.190015	−	0.329116i
$999$	8.98937	+	15.5701i	0.284411	+	0.492615i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	595.2.i.i.256.3	yes	14
7.2	even	3	inner	595.2.i.i.86.3	✓	14
7.3	odd	6		4165.2.a.bl.1.5		7
7.4	even	3		4165.2.a.bk.1.5		7

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
595.2.i.i.86.3	✓	14	7.2	even	3	inner
595.2.i.i.256.3	yes	14	1.1	even	1	trivial
4165.2.a.bk.1.5		7	7.4	even	3
4165.2.a.bl.1.5		7	7.3	odd	6

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:	\( N \)	\(=\)	\( 595 = 5 \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	595.i (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.442527 - 0.766480i) q^{2} +(-0.298260 + 0.516601i) q^{3} +(0.608339 - 1.05367i) q^{4} +(-0.500000 - 0.866025i) q^{5} +0.527952 q^{6} +(1.85483 - 1.88669i) q^{7} -2.84694 q^{8} +(1.32208 + 2.28991i) q^{9} +O(q^{10})\)	\(q+(-0.442527 - 0.766480i) q^{2} +(-0.298260 + 0.516601i) q^{3} +(0.608339 - 1.05367i) q^{4} +(-0.500000 - 0.866025i) q^{5} +0.527952 q^{6} +(1.85483 - 1.88669i) q^{7} -2.84694 q^{8} +(1.32208 + 2.28991i) q^{9} +(-0.442527 + 0.766480i) q^{10} +(1.13704 - 1.96941i) q^{11} +(0.362886 + 0.628538i) q^{12} +3.72520 q^{13} +(-2.26692 - 0.586781i) q^{14} +0.596520 q^{15} +(0.0431675 + 0.0747684i) q^{16} +(-0.500000 + 0.866025i) q^{17} +(1.17011 - 2.02670i) q^{18} +(-3.63843 - 6.30194i) q^{19} -1.21668 q^{20} +(0.421443 + 1.52093i) q^{21} -2.01268 q^{22} +(2.16553 + 3.75080i) q^{23} +(0.849126 - 1.47073i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(-1.64850 - 2.85529i) q^{26} -3.36685 q^{27} +(-0.859588 - 3.10214i) q^{28} -4.04418 q^{29} +(-0.263976 - 0.457220i) q^{30} +(4.91626 - 8.51521i) q^{31} +(-2.80873 + 4.86486i) q^{32} +(0.678265 + 1.17479i) q^{33} +0.885054 q^{34} +(-2.56134 - 0.662989i) q^{35} +3.21710 q^{36} +(-2.66996 - 4.62451i) q^{37} +(-3.22021 + 5.57756i) q^{38} +(-1.11108 + 1.92444i) q^{39} +(1.42347 + 2.46552i) q^{40} +8.45691 q^{41} +(0.979263 - 0.996081i) q^{42} -10.7575 q^{43} +(-1.38341 - 2.39614i) q^{44} +(1.32208 - 2.28991i) q^{45} +(1.91661 - 3.31966i) q^{46} +(1.93025 + 3.34329i) q^{47} -0.0515006 q^{48} +(-0.119186 - 6.99899i) q^{49} +0.885054 q^{50} +(-0.298260 - 0.516601i) q^{51} +(2.26619 - 3.92515i) q^{52} +(-1.25070 + 2.16628i) q^{53} +(1.48992 + 2.58063i) q^{54} -2.27408 q^{55} +(-5.28059 + 5.37128i) q^{56} +4.34079 q^{57} +(1.78966 + 3.09978i) q^{58} +(7.03579 - 12.1864i) q^{59} +(0.362886 - 0.628538i) q^{60} +(1.27764 + 2.21294i) q^{61} -8.70231 q^{62} +(6.77260 + 1.75305i) q^{63} +5.14443 q^{64} +(-1.86260 - 3.22612i) q^{65} +(0.600302 - 1.03975i) q^{66} +(3.12279 - 5.40883i) q^{67} +(0.608339 + 1.05367i) q^{68} -2.58356 q^{69} +(0.625294 + 2.25660i) q^{70} -7.78825 q^{71} +(-3.76388 - 6.51924i) q^{72} +(-2.64624 + 4.58342i) q^{73} +(-2.36306 + 4.09294i) q^{74} +(-0.298260 - 0.516601i) q^{75} -8.85359 q^{76} +(-1.60664 - 5.79816i) q^{77} +1.96673 q^{78} +(5.99106 + 10.3768i) q^{79} +(0.0431675 - 0.0747684i) q^{80} +(-2.96205 + 5.13042i) q^{81} +(-3.74241 - 6.48205i) q^{82} -6.34113 q^{83} +(1.85895 + 0.481179i) q^{84} +1.00000 q^{85} +(4.76049 + 8.24541i) q^{86} +(1.20622 - 2.08923i) q^{87} +(-3.23707 + 5.60678i) q^{88} +(2.50903 + 4.34576i) q^{89} -2.34023 q^{90} +(6.90963 - 7.02829i) q^{91} +5.26950 q^{92} +(2.93264 + 5.07949i) q^{93} +(1.70837 - 2.95899i) q^{94} +(-3.63843 + 6.30194i) q^{95} +(-1.67546 - 2.90199i) q^{96} +2.24441 q^{97} +(-5.31184 + 3.18859i) q^{98} +6.01303 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 14 q + q^{2} + 6 q^{3} - 3 q^{4} - 7 q^{5} - 6 q^{6} - q^{7} - 12 q^{8} - 9 q^{9}+O(q^{10}) \) 14 * q + q^2 + 6 * q^3 - 3 * q^4 - 7 * q^5 - 6 * q^6 - q^7 - 12 * q^8 - 9 * q^9	\( 14 q + q^{2} + 6 q^{3} - 3 q^{4} - 7 q^{5} - 6 q^{6} - q^{7} - 12 q^{8} - 9 q^{9} + q^{10} + 3 q^{11} + 8 q^{12} + 12 q^{13} - 12 q^{15} + 13 q^{16} - 7 q^{17} - q^{18} + 14 q^{19} + 6 q^{20} - 5 q^{21} + 24 q^{22} + 3 q^{23} - 17 q^{24} - 7 q^{25} + 7 q^{26} - 78 q^{27} + 3 q^{28} - 2 q^{29} + 3 q^{30} + 10 q^{31} - 7 q^{32} - 14 q^{33} - 2 q^{34} + 5 q^{35} + 48 q^{36} - 8 q^{37} - 7 q^{38} + 17 q^{39} + 6 q^{40} - 24 q^{41} - 41 q^{42} - 8 q^{43} + 13 q^{44} - 9 q^{45} - 6 q^{46} + 22 q^{47} - 14 q^{48} + 17 q^{49} - 2 q^{50} + 6 q^{51} - 5 q^{52} - 16 q^{53} + 11 q^{54} - 6 q^{55} + 12 q^{56} + 74 q^{57} + 22 q^{58} + 47 q^{59} + 8 q^{60} - 26 q^{61} - 58 q^{62} + 14 q^{63} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 20 q^{67} - 3 q^{68} - 42 q^{69} - 3 q^{70} - 8 q^{71} + 23 q^{72} + 19 q^{73} - 2 q^{74} + 6 q^{75} - 38 q^{76} - 31 q^{77} + 134 q^{78} + 46 q^{79} + 13 q^{80} - 47 q^{81} - 27 q^{82} - 68 q^{83} - 46 q^{84} + 14 q^{85} - 8 q^{86} - 20 q^{87} - 15 q^{88} + 26 q^{89} + 2 q^{90} - 54 q^{91} + 104 q^{92} + 13 q^{93} - 27 q^{94} + 14 q^{95} - 18 q^{96} - 38 q^{97} - 35 q^{98} - 36 q^{99}+O(q^{100}) \) 14 * q + q^2 + 6 * q^3 - 3 * q^4 - 7 * q^5 - 6 * q^6 - q^7 - 12 * q^8 - 9 * q^9 + q^10 + 3 * q^11 + 8 * q^12 + 12 * q^13 - 12 * q^15 + 13 * q^16 - 7 * q^17 - q^18 + 14 * q^19 + 6 * q^20 - 5 * q^21 + 24 * q^22 + 3 * q^23 - 17 * q^24 - 7 * q^25 + 7 * q^26 - 78 * q^27 + 3 * q^28 - 2 * q^29 + 3 * q^30 + 10 * q^31 - 7 * q^32 - 14 * q^33 - 2 * q^34 + 5 * q^35 + 48 * q^36 - 8 * q^37 - 7 * q^38 + 17 * q^39 + 6 * q^40 - 24 * q^41 - 41 * q^42 - 8 * q^43 + 13 * q^44 - 9 * q^45 - 6 * q^46 + 22 * q^47 - 14 * q^48 + 17 * q^49 - 2 * q^50 + 6 * q^51 - 5 * q^52 - 16 * q^53 + 11 * q^54 - 6 * q^55 + 12 * q^56 + 74 * q^57 + 22 * q^58 + 47 * q^59 + 8 * q^60 - 26 * q^61 - 58 * q^62 + 14 * q^63 - 8 * q^64 - 6 * q^65 + 43 * q^66 + 20 * q^67 - 3 * q^68 - 42 * q^69 - 3 * q^70 - 8 * q^71 + 23 * q^72 + 19 * q^73 - 2 * q^74 + 6 * q^75 - 38 * q^76 - 31 * q^77 + 134 * q^78 + 46 * q^79 + 13 * q^80 - 47 * q^81 - 27 * q^82 - 68 * q^83 - 46 * q^84 + 14 * q^85 - 8 * q^86 - 20 * q^87 - 15 * q^88 + 26 * q^89 + 2 * q^90 - 54 * q^91 + 104 * q^92 + 13 * q^93 - 27 * q^94 + 14 * q^95 - 18 * q^96 - 38 * q^97 - 35 * q^98 - 36 * q^99

Introduction

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