LMFDB - Embedded newform 585.2.i.g.196.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [585,2,Mod(196,585)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(585, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([4, 0, 0]))

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

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

chi := DirichletCharacter("585.196");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 585 = 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	585.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:	$4.67124851824$
Analytic rank:	$0$
Dimension:	$26$
Relative dimension:	$13$ over $\Q(\zeta_{3})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			196.10
Character	$\chi$	$=$	585.196
Dual form			585.2.i.g.391.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.768621 - 1.33129i) q^{2} +(-1.52975 - 0.812318i) q^{3} +(-0.181557 - 0.314466i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.25723 + 1.41218i) q^{6} +(-1.69912 + 2.94296i) q^{7} +2.51629 q^{8} +(1.68028 + 2.48529i) q^{9} +O(q^{10})$	\(q+(0.768621 - 1.33129i) q^{2} +(-1.52975 - 0.812318i) q^{3} +(-0.181557 - 0.314466i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.25723 + 1.41218i) q^{6} +(-1.69912 + 2.94296i) q^{7} +2.51629 q^{8} +(1.68028 + 2.48529i) q^{9} -1.53724 q^{10} +(-3.21030 + 5.56040i) q^{11} +(0.0222906 + 0.628536i) q^{12} +(0.500000 + 0.866025i) q^{13} +(2.61195 + 4.52404i) q^{14} +(0.0613875 + 1.73096i) q^{15} +(2.29719 - 3.97885i) q^{16} +2.03384 q^{17} +(4.60014 - 0.326693i) q^{18} -4.38595 q^{19} +(-0.181557 + 0.314466i) q^{20} +(4.98985 - 3.12177i) q^{21} +(4.93501 + 8.54769i) q^{22} +(3.61253 + 6.25708i) q^{23} +(-3.84930 - 2.04403i) q^{24} +(-0.500000 + 0.866025i) q^{25} +1.53724 q^{26} +(-0.551562 - 5.16680i) q^{27} +1.23395 q^{28} +(-1.38307 + 2.39554i) q^{29} +(2.35160 + 1.24873i) q^{30} +(-5.44326 - 9.42801i) q^{31} +(-1.01504 - 1.75811i) q^{32} +(9.42778 - 5.89825i) q^{33} +(1.56325 - 2.70763i) q^{34} +3.39823 q^{35} +(0.476472 - 0.979611i) q^{36} +6.69780 q^{37} +(-3.37113 + 5.83897i) q^{38} +(-0.0613875 - 1.73096i) q^{39} +(-1.25815 - 2.17917i) q^{40} +(3.54824 + 6.14573i) q^{41} +(-0.320683 - 9.04239i) q^{42} +(-3.74163 + 6.48069i) q^{43} +2.33141 q^{44} +(1.31218 - 2.69781i) q^{45} +11.1067 q^{46} +(2.88360 - 4.99455i) q^{47} +(-6.74622 + 4.22060i) q^{48} +(-2.27400 - 3.93868i) q^{49} +(0.768621 + 1.33129i) q^{50} +(-3.11127 - 1.65212i) q^{51} +(0.181557 - 0.314466i) q^{52} +1.37345 q^{53} +(-7.30245 - 3.23702i) q^{54} +6.42060 q^{55} +(-4.27547 + 7.40534i) q^{56} +(6.70941 + 3.56279i) q^{57} +(2.12611 + 3.68253i) q^{58} +(0.514436 + 0.891029i) q^{59} +(0.533183 - 0.333572i) q^{60} +(-6.82243 + 11.8168i) q^{61} -16.7352 q^{62} +(-10.1691 + 0.722189i) q^{63} +6.06802 q^{64} +(0.500000 - 0.866025i) q^{65} +(-0.605895 - 17.0846i) q^{66} +(-4.72270 - 8.17995i) q^{67} +(-0.369257 - 0.639572i) q^{68} +(-0.443528 - 12.5063i) q^{69} +(2.61195 - 4.52404i) q^{70} -1.12334 q^{71} +(4.22807 + 6.25371i) q^{72} +4.90524 q^{73} +(5.14807 - 8.91672i) q^{74} +(1.46836 - 0.918644i) q^{75} +(0.796299 + 1.37923i) q^{76} +(-10.9094 - 18.8956i) q^{77} +(-2.35160 - 1.24873i) q^{78} +(0.277024 - 0.479819i) q^{79} -4.59438 q^{80} +(-3.35333 + 8.35196i) q^{81} +10.9090 q^{82} +(-6.32884 + 10.9619i) q^{83} +(-1.88763 - 1.00236i) q^{84} +(-1.01692 - 1.76135i) q^{85} +(5.75179 + 9.96239i) q^{86} +(4.06169 - 2.54109i) q^{87} +(-8.07805 + 13.9916i) q^{88} -6.37309 q^{89} +(-2.58299 - 3.82049i) q^{90} -3.39823 q^{91} +(1.31176 - 2.27203i) q^{92} +(0.668296 + 18.8442i) q^{93} +(-4.43280 - 7.67783i) q^{94} +(2.19297 + 3.79834i) q^{95} +(0.124622 + 3.51400i) q^{96} +(7.25776 - 12.5708i) q^{97} -6.99138 q^{98} +(-19.2134 + 1.36450i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9}+O(q^{10}) $ 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9	\( 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9} - 2 q^{10} - 11 q^{11} - 20 q^{12} + 13 q^{13} - 15 q^{14} - 2 q^{15} - 19 q^{16} + 6 q^{17} - 13 q^{18} + 30 q^{19} - 15 q^{20} - q^{21} - 12 q^{22} - 6 q^{23} + 20 q^{24} - 13 q^{25} + 2 q^{26} - 2 q^{27} + 10 q^{28} - 14 q^{29} - 2 q^{30} - 30 q^{31} + 43 q^{32} + 6 q^{33} - 19 q^{34} + 20 q^{35} - 39 q^{36} + 32 q^{37} + 2 q^{38} + 2 q^{39} + 6 q^{40} - 17 q^{41} + 83 q^{42} - 6 q^{43} + 46 q^{44} - 5 q^{45} + 46 q^{46} + 21 q^{47} - 7 q^{48} - 29 q^{49} + q^{50} + 55 q^{51} + 15 q^{52} + 2 q^{53} - 6 q^{54} + 22 q^{55} - 37 q^{56} + 33 q^{57} - 14 q^{58} - 13 q^{59} + 25 q^{60} - 22 q^{61} - 114 q^{62} - 44 q^{63} + 84 q^{64} + 13 q^{65} - 68 q^{66} - 35 q^{67} + 4 q^{68} - 38 q^{69} - 15 q^{70} + 24 q^{71} - 24 q^{72} + 64 q^{73} + 28 q^{74} + q^{75} - 54 q^{76} - 4 q^{77} + 2 q^{78} - 12 q^{79} + 38 q^{80} + 15 q^{81} + 46 q^{82} + 3 q^{83} + 27 q^{84} - 3 q^{85} + 40 q^{86} - 12 q^{87} - 29 q^{88} + 12 q^{89} - 10 q^{90} - 20 q^{91} + 16 q^{92} - 9 q^{93} - 44 q^{94} - 15 q^{95} + 51 q^{96} - 33 q^{97} + 70 q^{98} - 22 q^{99}+O(q^{100}) \) 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9 - 2 * q^10 - 11 * q^11 - 20 * q^12 + 13 * q^13 - 15 * q^14 - 2 * q^15 - 19 * q^16 + 6 * q^17 - 13 * q^18 + 30 * q^19 - 15 * q^20 - q^21 - 12 * q^22 - 6 * q^23 + 20 * q^24 - 13 * q^25 + 2 * q^26 - 2 * q^27 + 10 * q^28 - 14 * q^29 - 2 * q^30 - 30 * q^31 + 43 * q^32 + 6 * q^33 - 19 * q^34 + 20 * q^35 - 39 * q^36 + 32 * q^37 + 2 * q^38 + 2 * q^39 + 6 * q^40 - 17 * q^41 + 83 * q^42 - 6 * q^43 + 46 * q^44 - 5 * q^45 + 46 * q^46 + 21 * q^47 - 7 * q^48 - 29 * q^49 + q^50 + 55 * q^51 + 15 * q^52 + 2 * q^53 - 6 * q^54 + 22 * q^55 - 37 * q^56 + 33 * q^57 - 14 * q^58 - 13 * q^59 + 25 * q^60 - 22 * q^61 - 114 * q^62 - 44 * q^63 + 84 * q^64 + 13 * q^65 - 68 * q^66 - 35 * q^67 + 4 * q^68 - 38 * q^69 - 15 * q^70 + 24 * q^71 - 24 * q^72 + 64 * q^73 + 28 * q^74 + q^75 - 54 * q^76 - 4 * q^77 + 2 * q^78 - 12 * q^79 + 38 * q^80 + 15 * q^81 + 46 * q^82 + 3 * q^83 + 27 * q^84 - 3 * q^85 + 40 * q^86 - 12 * q^87 - 29 * q^88 + 12 * q^89 - 10 * q^90 - 20 * q^91 + 16 * q^92 - 9 * q^93 - 44 * q^94 - 15 * q^95 + 51 * q^96 - 33 * q^97 + 70 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$1$

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 $

$2$	0.768621	−	1.33129i	0.543497	−	0.941365i	−0.455203	−	0.890388i	$-0.650433\pi$
$2$	0.768621	−	1.33129i	0.543497	−	0.941365i	0.998700	−	0.0509769i	$-0.0162335\pi$
$3$	−1.52975	−	0.812318i	−0.883202	−	0.468992i
$3$	−1.52975	−	0.812318i	−0.883202	−	0.468992i
$4$	−0.181557	−	0.314466i	−0.0907784	−	0.157233i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−2.25723	+	1.41218i	−0.921511	+	0.576520i
$7$	−1.69912	+	2.94296i	−0.642206	+	1.11233i	0.342733	+	0.939433i	$0.388647\pi$
$7$	−1.69912	+	2.94296i	−0.642206	+	1.11233i	−0.984939	+	0.172901i	$0.944686\pi$
$8$	2.51629			0.889643
$9$	1.68028	+	2.48529i	0.560093	+	0.828430i
$10$	−1.53724			−0.486119
$11$	−3.21030	+	5.56040i	−0.967942	+	1.67652i	−0.266448	+	0.963849i	$0.585850\pi$
$11$	−3.21030	+	5.56040i	−0.967942	+	1.67652i	−0.701494	+	0.712676i	$0.747483\pi$
$12$	0.0222906	+	0.628536i	0.00643475	+	0.181443i
$13$	0.500000	+	0.866025i	0.138675	+	0.240192i
$13$	0.500000	+	0.866025i	0.138675	+	0.240192i
$14$	2.61195	+	4.52404i	0.698074	+	1.20910i
$15$	0.0613875	+	1.73096i	0.0158502	+	0.446933i
$16$	2.29719	−	3.97885i	0.574297	−	0.994712i
$17$	2.03384			0.493278			0.246639	−	0.969107i	$-0.420674\pi$
$17$	2.03384			0.493278			0.246639	+	0.969107i	$0.420674\pi$
$18$	4.60014	−	0.326693i	1.08426	−	0.0770022i
$19$	−4.38595			−1.00621			−0.503103	−	0.864227i	$-0.667808\pi$
$19$	−4.38595			−1.00621			−0.503103	+	0.864227i	$0.667808\pi$
$20$	−0.181557	+	0.314466i	−0.0405973	+	0.0703167i
$21$	4.98985	−	3.12177i	1.08887	−	0.681226i
$22$	4.93501	+	8.54769i	1.05215	+	1.82237i
$23$	3.61253	+	6.25708i	0.753264	+	1.30469i	0.946233	+	0.323487i	$0.104855\pi$
$23$	3.61253	+	6.25708i	0.753264	+	1.30469i	−0.192968	+	0.981205i	$0.561812\pi$
$24$	−3.84930	−	2.04403i	−0.785735	−	0.417236i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	1.53724			0.301478
$27$	−0.551562	−	5.16680i	−0.106148	−	0.994350i
$28$	1.23395			0.233194
$29$	−1.38307	+	2.39554i	−0.256829	+	0.444841i	−0.965391	−	0.260808i	$-0.916011\pi$
$29$	−1.38307	+	2.39554i	−0.256829	+	0.444841i	0.708562	+	0.705649i	$0.249344\pi$
$30$	2.35160	+	1.24873i	0.429341	+	0.227986i
$31$	−5.44326	−	9.42801i	−0.977639	−	1.69332i	−0.670935	−	0.741516i	$-0.734107\pi$
$31$	−5.44326	−	9.42801i	−0.977639	−	1.69332i	−0.306704	−	0.951805i	$-0.599226\pi$
$32$	−1.01504	−	1.75811i	−0.179436	−	0.310792i
$33$	9.42778	−	5.89825i	1.64117	−	1.02675i
$34$	1.56325	−	2.70763i	0.268095	−	0.464355i
$35$	3.39823			0.574407
$36$	0.476472	−	0.979611i	0.0794120	−	0.163269i
$37$	6.69780			1.10111			0.550556	−	0.834798i	$-0.314416\pi$
$37$	6.69780			1.10111			0.550556	+	0.834798i	$0.314416\pi$
$38$	−3.37113	+	5.83897i	−0.546870	+	0.947206i
$39$	−0.0613875	−	1.73096i	−0.00982986	−	0.277176i
$40$	−1.25815	−	2.17917i	−0.198930	−	0.344557i
$41$	3.54824	+	6.14573i	0.554142	+	0.959802i	0.997970	+	0.0636896i	$0.0202868\pi$
$41$	3.54824	+	6.14573i	0.554142	+	0.959802i	−0.443828	+	0.896112i	$0.646380\pi$
$42$	−0.320683	−	9.04239i	−0.0494824	−	1.39527i
$43$	−3.74163	+	6.48069i	−0.570593	+	0.988296i	0.425912	+	0.904764i	$0.359953\pi$
$43$	−3.74163	+	6.48069i	−0.570593	+	0.988296i	−0.996505	+	0.0835314i	$0.973380\pi$
$44$	2.33141			0.351473
$45$	1.31218	−	2.69781i	0.195609	−	0.402166i
$46$	11.1067			1.63759
$47$	2.88360	−	4.99455i	0.420617	−	0.728530i	−0.575383	−	0.817884i	$-0.695147\pi$
$47$	2.88360	−	4.99455i	0.420617	−	0.728530i	0.996000	+	0.0893542i	$0.0284803\pi$
$48$	−6.74622	+	4.22060i	−0.973732	+	0.609191i
$49$	−2.27400	−	3.93868i	−0.324857	−	0.562669i
$50$	0.768621	+	1.33129i	0.108699	+	0.188273i
$51$	−3.11127	−	1.65212i	−0.435664	−	0.231344i
$52$	0.181557	−	0.314466i	0.0251774	−	0.0436085i
$53$	1.37345			0.188658			0.0943290	−	0.995541i	$-0.469929\pi$
$53$	1.37345			0.188658			0.0943290	+	0.995541i	$0.469929\pi$
$54$	−7.30245	−	3.23702i	−0.993738	−	0.440503i
$55$	6.42060			0.865754
$56$	−4.27547	+	7.40534i	−0.571334	+	0.989580i
$57$	6.70941	+	3.56279i	0.888683	+	0.471902i
$58$	2.12611	+	3.68253i	0.279172	+	0.483540i
$59$	0.514436	+	0.891029i	0.0669738	+	0.116002i	0.897568	−	0.440876i	$-0.145332\pi$
$59$	0.514436	+	0.891029i	0.0669738	+	0.116002i	−0.830594	+	0.556878i	$0.811999\pi$
$60$	0.533183	−	0.333572i	0.0688336	−	0.0430640i
$61$	−6.82243	+	11.8168i	−0.873522	+	1.51298i	−0.0151935	+	0.999885i	$0.504836\pi$
$61$	−6.82243	+	11.8168i	−0.873522	+	1.51298i	−0.858329	+	0.513100i	$0.828497\pi$
$62$	−16.7352			−2.12538
$63$	−10.1691	+	0.722189i	−1.28119	+	0.0909872i
$64$	6.06802			0.758502
$65$	0.500000	−	0.866025i	0.0620174	−	0.107417i
$66$	−0.605895	−	17.0846i	−0.0745806	−	2.10297i
$67$	−4.72270	−	8.17995i	−0.576969	−	0.999340i	−0.995825	−	0.0912873i	$-0.970902\pi$
$67$	−4.72270	−	8.17995i	−0.576969	−	0.999340i	0.418855	−	0.908053i	$-0.362431\pi$
$68$	−0.369257	−	0.639572i	−0.0447790	−	0.0775595i
$69$	−0.443528	−	12.5063i	−0.0533945	−	1.50558i
$70$	2.61195	−	4.52404i	0.312188	−	0.540726i
$71$	−1.12334			−0.133315			−0.0666577	−	0.997776i	$-0.521234\pi$
$71$	−1.12334			−0.133315			−0.0666577	+	0.997776i	$0.521234\pi$
$72$	4.22807	+	6.25371i	0.498283	+	0.737007i
$73$	4.90524			0.574115			0.287057	−	0.957913i	$-0.407323\pi$
$73$	4.90524			0.574115			0.287057	+	0.957913i	$0.407323\pi$
$74$	5.14807	−	8.91672i	0.598451	−	1.03655i
$75$	1.46836	−	0.918644i	0.169552	−	0.106076i
$76$	0.796299	+	1.37923i	0.0913417	+	0.158209i
$77$	−10.9094	−	18.8956i	−1.24324	−	2.15335i
$78$	−2.35160	−	1.24873i	−0.266266	−	0.141391i
$79$	0.277024	−	0.479819i	0.0311676	−	0.0539839i	−0.850021	−	0.526749i	$-0.823411\pi$
$79$	0.277024	−	0.479819i	0.0311676	−	0.0539839i	0.881188	+	0.472765i	$0.156744\pi$
$80$	−4.59438			−0.513667
$81$	−3.35333	+	8.35196i	−0.372592	+	0.927995i
$82$	10.9090			1.20470
$83$	−6.32884	+	10.9619i	−0.694680	+	1.20322i	0.275608	+	0.961270i	$0.411121\pi$
$83$	−6.32884	+	10.9619i	−0.694680	+	1.20322i	−0.970288	+	0.241952i	$0.922212\pi$
$84$	−1.88763	−	1.00236i	−0.205957	−	0.109366i
$85$	−1.01692	−	1.76135i	−0.110300	−	0.191046i
$86$	5.75179	+	9.96239i	0.620231	+	1.07427i
$87$	4.06169	−	2.54109i	0.435459	−	0.272434i
$88$	−8.07805	+	13.9916i	−0.861123	+	1.49151i
$89$	−6.37309			−0.675547			−0.337773	−	0.941227i	$-0.609674\pi$
$89$	−6.37309			−0.675547			−0.337773	+	0.941227i	$0.609674\pi$
$90$	−2.58299	−	3.82049i	−0.272272	−	0.402715i
$91$	−3.39823			−0.356232
$92$	1.31176	−	2.27203i	0.136760	−	0.236876i
$93$	0.668296	+	18.8442i	0.0692991	+	1.95405i
$94$	−4.43280	−	7.67783i	−0.457208	−	0.791908i
$95$	2.19297	+	3.79834i	0.224994	+	0.389702i
$96$	0.124622	+	3.51400i	0.0127192	+	0.358647i
$97$	7.25776	−	12.5708i	0.736914	−	1.27637i	−0.216964	−	0.976180i	$-0.569615\pi$
$97$	7.25776	−	12.5708i	0.736914	−	1.27637i	0.953878	−	0.300193i	$-0.0970512\pi$
$98$	−6.99138			−0.706236
$99$	−19.2134	+	1.36450i	−1.93102	+	0.137137i
$100$	0.363114			0.0363114
$101$	1.92914	−	3.34137i	0.191956	−	0.332478i	−0.753942	−	0.656941i	$-0.771850\pi$
$101$	1.92914	−	3.34137i	0.191956	−	0.332478i	0.945899	+	0.324463i	$0.105183\pi$
$102$	−4.59084	+	2.87214i	−0.454561	+	0.284384i
$103$	2.89239	+	5.00977i	0.284996	+	0.493627i	0.972608	−	0.232451i	$-0.0746745\pi$
$103$	2.89239	+	5.00977i	0.284996	+	0.493627i	−0.687612	+	0.726078i	$0.741341\pi$
$104$	1.25815	+	2.17917i	0.123371	+	0.213685i
$105$	−5.19845	−	2.76045i	−0.507317	−	0.269392i
$106$	1.05566	−	1.82846i	0.102535	−	0.177596i
$107$	9.68257			0.936050			0.468025	−	0.883715i	$-0.344966\pi$
$107$	9.68257			0.936050			0.468025	+	0.883715i	$0.344966\pi$
$108$	−1.52464	+	1.11151i	−0.146709	+	0.106956i
$109$	−9.24136			−0.885162			−0.442581	−	0.896729i	$-0.645937\pi$
$109$	−9.24136			−0.885162			−0.442581	+	0.896729i	$0.645937\pi$
$110$	4.93501	−	8.54769i	0.470535	−	0.814990i
$111$	−10.2460	−	5.44074i	−0.972504	−	0.516413i
$112$	7.80638	+	13.5211i	0.737634	+	1.27762i
$113$	6.09108	+	10.5501i	0.573000	+	0.992465i	0.996256	+	0.0864550i	$0.0275539\pi$
$113$	6.09108	+	10.5501i	0.573000	+	0.992465i	−0.423256	+	0.906010i	$0.639113\pi$
$114$	9.90010	−	6.19374i	0.927229	−	0.580097i
$115$	3.61253	−	6.25708i	0.336870	−	0.583476i
$116$	1.00442			0.0932582
$117$	−1.31218	+	2.69781i	−0.121312	+	0.249412i
$118$	1.58162			0.145600
$119$	−3.45573	+	5.98550i	−0.316786	+	0.548690i
$120$	0.154469	+	4.35561i	0.0141010	+	0.397611i
$121$	−15.1121	−	26.1749i	−1.37382	−	2.37953i
$122$	10.4877	+	18.1653i	0.949514	+	1.64461i
$123$	−0.435635	−	12.2837i	−0.0392798	−	1.10759i
$124$	−1.97652	+	3.42344i	−0.177497	+	0.307434i
$125$	1.00000			0.0894427
$126$	−6.85474	+	14.0931i	−0.610668	+	1.25551i
$127$	−9.85476			−0.874469			−0.437234	−	0.899348i	$-0.644042\pi$
$127$	−9.85476			−0.874469			−0.437234	+	0.899348i	$0.644042\pi$
$128$	6.69409	−	11.5945i	0.591680	−	1.02482i
$129$	10.9881	−	6.87445i	0.967452	−	0.605262i
$130$	−0.768621	−	1.33129i	−0.0674125	−	0.116762i
$131$	2.26470	+	3.92258i	0.197868	+	0.342718i	0.947837	−	0.318756i	$-0.103265\pi$
$131$	2.26470	+	3.92258i	0.197868	+	0.342718i	−0.749969	+	0.661473i	$0.769932\pi$
$132$	−3.56647	−	1.89385i	−0.310422	−	0.164838i
$133$	7.45224	−	12.9077i	0.646191	−	1.11924i
$134$	−14.5199			−1.25433
$135$	−4.19880	+	3.06106i	−0.361375	+	0.263454i
$136$	5.11773			0.438841
$137$	5.19011	−	8.98954i	0.443421	−	0.768028i	−0.554520	−	0.832171i	$-0.687098\pi$
$137$	5.19011	−	8.98954i	0.443421	−	0.768028i	0.997941	+	0.0641427i	$0.0204313\pi$
$138$	−16.9904	−	9.02214i	−1.44632	−	0.768016i
$139$	7.91488	+	13.7090i	0.671331	+	1.16278i	0.977527	+	0.210811i	$0.0676104\pi$
$139$	7.91488	+	13.7090i	0.671331	+	1.16278i	−0.306196	+	0.951969i	$0.599056\pi$
$140$	−0.616973	−	1.06863i	−0.0521437	−	0.0903156i
$141$	−8.46836	+	5.29801i	−0.713165	+	0.446173i
$142$	−0.863420	+	1.49549i	−0.0724566	+	0.125498i
$143$	−6.42060			−0.536918
$144$	13.7485	−	0.976391i	1.14571	−	0.0813659i
$145$	2.76614			0.229715
$146$	3.77027	−	6.53030i	0.312030	−	0.540452i
$147$	0.279190	+	7.87242i	0.0230272	+	0.649306i
$148$	−1.21603	−	2.10623i	−0.0999571	−	0.173131i
$149$	−6.54209	−	11.3312i	−0.535949	−	0.928291i	−0.999117	−	0.0420205i	$-0.986621\pi$
$149$	−6.54209	−	11.3312i	−0.535949	−	0.928291i	0.463168	−	0.886271i	$-0.346713\pi$
$150$	−0.0943674	−	2.66091i	−0.00770507	−	0.217262i
$151$	1.80038	−	3.11835i	0.146513	−	0.253768i	−0.783424	−	0.621488i	$-0.786528\pi$
$151$	1.80038	−	3.11835i	0.146513	−	0.253768i	0.929936	+	0.367721i	$0.119862\pi$
$152$	−11.0363			−0.895164
$153$	3.41741	+	5.05468i	0.276281	+	0.408646i
$154$	−33.5406			−2.70278
$155$	−5.44326	+	9.42801i	−0.437214	+	0.757276i
$156$	−0.533183	+	0.333572i	−0.0426888	+	0.0267072i
$157$	−2.50367	−	4.33649i	−0.199815	−	0.346090i	0.748653	−	0.662962i	$-0.230701\pi$
$157$	−2.50367	−	4.33649i	−0.199815	−	0.346090i	−0.948468	+	0.316872i	$0.897367\pi$
$158$	−0.425853	−	0.737598i	−0.0338790	−	0.0586802i
$159$	−2.10104	−	1.11568i	−0.166623	−	0.0884791i
$160$	−1.01504	+	1.75811i	−0.0802462	+	0.138991i
$161$	−24.5524			−1.93500
$162$	8.54144	+	10.8837i	0.671079	+	0.855108i
$163$	0.621315			0.0486652			0.0243326	−	0.999704i	$-0.492254\pi$
$163$	0.621315			0.0486652			0.0243326	+	0.999704i	$0.492254\pi$
$164$	1.28841	−	2.23160i	0.100608	−	0.174259i
$165$	−9.82192	−	5.21557i	−0.764636	−	0.406032i
$166$	9.72896	+	16.8511i	0.755114	+	1.30790i
$167$	1.09655	+	1.89928i	0.0848537	+	0.146971i	0.905329	−	0.424711i	$-0.139624\pi$
$167$	1.09655	+	1.89928i	0.0848537	+	0.146971i	−0.820475	+	0.571682i	$0.806291\pi$
$168$	12.5559	−	7.85528i	0.968709	−	0.606048i
$169$	−0.500000	+	0.866025i	−0.0384615	+	0.0666173i
$170$	−3.12650			−0.239792
$171$	−7.36961	−	10.9004i	−0.563568	−	0.833571i
$172$	2.71727			0.207190
$173$	−6.05836	+	10.4934i	−0.460609	+	0.797798i	−0.998991	−	0.0449028i	$-0.985702\pi$
$173$	−6.05836	+	10.4934i	−0.460609	+	0.797798i	0.538383	+	0.842700i	$0.319036\pi$
$174$	−0.261033	−	7.36043i	−0.0197889	−	0.557993i
$175$	−1.69912	−	2.94296i	−0.128441	−	0.222467i
$176$	14.7493	+	25.5466i	1.11177	+	1.92565i
$177$	−0.0631598	−	1.78094i	−0.00474738	−	0.133863i
$178$	−4.89849	+	8.48444i	−0.367158	+	0.635936i
$179$	5.91174			0.441864			0.220932	−	0.975289i	$-0.429090\pi$
$179$	5.91174			0.441864			0.220932	+	0.975289i	$0.429090\pi$
$180$	−1.08660	+	0.0771685i	−0.0809907	+	0.00575180i
$181$	19.7022			1.46446			0.732228	−	0.681060i	$-0.238481\pi$
$181$	19.7022			1.46446			0.732228	+	0.681060i	$0.238481\pi$
$182$	−2.61195	+	4.52404i	−0.193611	+	0.335344i
$183$	20.0356	−	12.5348i	1.48107	−	0.926597i
$184$	9.09017	+	15.7446i	0.670136	+	1.16071i
$185$	−3.34890	−	5.80046i	−0.246216	−	0.426459i
$186$	25.6007	+	13.5943i	1.87714	+	0.996785i
$187$	−6.52923	+	11.3090i	−0.477465	+	0.826993i
$188$	−2.09415			−0.152732
$189$	16.1428	+	7.15577i	1.17422	+	0.520506i
$190$	6.74226			0.489135
$191$	3.81721	−	6.61160i	0.276203	−	0.478398i	−0.694235	−	0.719749i	$-0.744257\pi$
$191$	3.81721	−	6.61160i	0.276203	−	0.478398i	0.970438	+	0.241350i	$0.0775903\pi$
$192$	−9.28256	−	4.92916i	−0.669911	−	0.355731i
$193$	−0.113113	−	0.195918i	−0.00814209	−	0.0141025i	0.861926	−	0.507035i	$-0.169258\pi$
$193$	−0.113113	−	0.195918i	−0.00814209	−	0.0141025i	−0.870068	+	0.492932i	$0.835925\pi$
$194$	−11.1569	−	19.3244i	−0.801022	−	1.38741i
$195$	−1.46836	+	0.918644i	−0.105152	+	0.0657855i
$196$	−0.825720	+	1.43019i	−0.0589800	+	0.102156i
$197$	−0.136071			−0.00969466			−0.00484733	−	0.999988i	$-0.501543\pi$
$197$	−0.136071			−0.00969466			−0.00484733	+	0.999988i	$0.501543\pi$
$198$	−12.9513	+	26.6274i	−0.920408	+	1.89233i
$199$	18.9554			1.34372			0.671858	−	0.740680i	$-0.265496\pi$
$199$	18.9554			1.34372			0.671858	+	0.740680i	$0.265496\pi$
$200$	−1.25815	+	2.17917i	−0.0889643	+	0.154091i
$201$	0.579829	+	16.3496i	0.0408980	+	1.15321i
$202$	−2.96555	−	5.13649i	−0.208656	−	0.361402i
$203$	−4.69999	−	8.14062i	−0.329875	−	0.571359i
$204$	0.0453355	+	1.27834i	0.00317412	+	0.0895017i
$205$	3.54824	−	6.14573i	0.247820	−	0.429236i
$206$	8.89261			0.619577
$207$	−9.48061	+	19.4918i	−0.658948	+	1.35478i
$208$	4.59438			0.318563
$209$	14.0802	−	24.3876i	0.973948	−	1.68693i
$210$	−7.67060	+	4.79892i	−0.529322	+	0.331157i
$211$	−2.53997	−	4.39935i	−0.174858	−	0.302864i	0.765254	−	0.643729i	$-0.222613\pi$
$211$	−2.53997	−	4.39935i	−0.174858	−	0.302864i	−0.940112	+	0.340865i	$0.889280\pi$
$212$	−0.249359	−	0.431903i	−0.0171261	−	0.0296632i
$213$	1.71842	+	0.912506i	0.117745	+	0.0625239i
$214$	7.44223	−	12.8903i	0.508740	−	0.881164i
$215$	7.48326			0.510354
$216$	−1.38789	−	13.0012i	−0.0944339	−	0.884617i
$217$	36.9950			2.51138
$218$	−7.10310	+	12.3029i	−0.481083	+	0.833260i
$219$	−7.50380	−	3.98462i	−0.507060	−	0.269255i
$220$	−1.16570	−	2.01906i	−0.0785917	−	0.136125i
$221$	1.01692	+	1.76135i	0.0684054	+	0.118482i
$222$	−15.1185	+	9.45849i	−1.01469	+	0.634812i
$223$	11.5458	−	19.9978i	0.773161	−	1.33915i	−0.162661	−	0.986682i	$-0.552008\pi$
$223$	11.5458	−	19.9978i	0.773161	−	1.33915i	0.935822	−	0.352472i	$-0.114659\pi$
$224$	6.89871			0.460940
$225$	−2.99246	+	0.212519i	−0.199498	+	0.0141679i
$226$	18.7269			1.24570
$227$	−0.362990	+	0.628718i	−0.0240925	+	0.0417295i	−0.877820	−	0.478990i	$-0.841003\pi$
$227$	−0.362990	+	0.628718i	−0.0240925	+	0.0417295i	0.853728	+	0.520720i	$0.174336\pi$
$228$	−0.0977655	−	2.75673i	−0.00647468	−	0.182569i
$229$	−5.23407	−	9.06567i	−0.345877	−	0.599077i	0.639636	−	0.768678i	$-0.279085\pi$
$229$	−5.23407	−	9.06567i	−0.345877	−	0.599077i	−0.985513	+	0.169602i	$0.945752\pi$
$230$	−5.55333	−	9.61865i	−0.366176	−	0.634235i
$231$	1.33940	+	37.7674i	0.0881257	+	2.48491i
$232$	−3.48020	+	6.02788i	−0.228486	+	0.395750i
$233$	18.6352			1.22083			0.610416	−	0.792081i	$-0.291002\pi$
$233$	18.6352			1.22083			0.610416	+	0.792081i	$0.291002\pi$
$234$	2.58299	+	3.82049i	0.168856	+	0.249753i
$235$	−5.76721			−0.376211
$236$	0.186799	−	0.323545i	0.0121596	−	0.0210610i
$237$	−0.813543	+	0.508973i	−0.0528453	+	0.0330613i
$238$	5.31229	+	9.20116i	0.344345	+	0.596423i
$239$	10.3640	+	17.9509i	0.670390	+	1.16115i	0.977793	+	0.209571i	$0.0672067\pi$
$239$	10.3640	+	17.9509i	0.670390	+	1.16115i	−0.307403	+	0.951579i	$0.599460\pi$
$240$	7.02825	+	3.73210i	0.453672	+	0.240906i
$241$	−0.695200	+	1.20412i	−0.0447818	+	0.0775643i	−0.887547	−	0.460716i	$-0.847593\pi$
$241$	−0.695200	+	1.20412i	−0.0447818	+	0.0775643i	0.842766	+	0.538281i	$0.180926\pi$
$242$	−46.4618			−2.98668
$243$	11.9142	−	10.0524i	0.764297	−	0.644865i
$244$	4.95463			0.317188
$245$	−2.27400	+	3.93868i	−0.145281	+	0.251633i
$246$	−16.6881	−	8.86158i	−1.06399	−	0.564994i
$247$	−2.19297	−	3.79834i	−0.139536	−	0.241683i
$248$	−13.6968	−	23.7236i	−0.869750	−	1.50645i
$249$	18.5861	−	11.6279i	1.17784	−	0.736889i
$250$	0.768621	−	1.33129i	0.0486119	−	0.0841982i
$251$	1.86412			0.117662			0.0588311	−	0.998268i	$-0.481263\pi$
$251$	1.86412			0.117662			0.0588311	+	0.998268i	$0.481263\pi$
$252$	2.07337	+	3.06671i	0.130610	+	0.193185i
$253$	−46.3892			−2.91646
$254$	−7.57458	+	13.1196i	−0.475271	+	0.823194i
$255$	0.124852	+	3.52050i	0.00781854	+	0.220462i
$256$	−4.22242	−	7.31345i	−0.263902	−	0.457091i
$257$	−14.1020	−	24.4255i	−0.879662	−	1.52362i	−0.851713	−	0.524009i	$-0.824436\pi$
$257$	−14.1020	−	24.4255i	−0.879662	−	1.52362i	−0.0279490	−	0.999609i	$-0.508898\pi$
$258$	−0.706175	−	19.9123i	−0.0439646	−	1.23968i
$259$	−11.3803	+	19.7113i	−0.707140	+	1.22480i
$260$	−0.363114			−0.0225194
$261$	−8.27756	+	0.587856i	−0.512368	+	0.0363874i
$262$	6.96280			0.430163
$263$	14.8141	−	25.6588i	0.913478	−	1.58219i	0.104363	−	0.994539i	$-0.466720\pi$
$263$	14.8141	−	25.6588i	0.913478	−	1.58219i	0.809115	−	0.587651i	$-0.199947\pi$
$264$	23.7230	−	14.8417i	1.46005	−	0.913444i
$265$	−0.686726	−	1.18944i	−0.0421852	−	0.0730669i
$266$	−11.4559	−	19.8422i	−0.702406	−	1.21660i
$267$	9.74925	+	5.17698i	0.596644	+	0.316826i
$268$	−1.71488	+	2.97025i	−0.104753	+	0.181437i
$269$	8.85117			0.539665			0.269833	−	0.962907i	$-0.413032\pi$
$269$	8.85117			0.539665			0.269833	+	0.962907i	$0.413032\pi$
$270$	0.847884	+	7.94262i	0.0516006	+	0.483372i
$271$	12.8044			0.777811			0.388906	−	0.921278i	$-0.372853\pi$
$271$	12.8044			0.777811			0.388906	+	0.921278i	$0.372853\pi$
$272$	4.67211	−	8.09233i	0.283288	−	0.490669i
$273$	5.19845	+	2.76045i	0.314625	+	0.167070i
$274$	−7.97846	−	13.8191i	−0.481996	−	0.834842i
$275$	−3.21030	−	5.56040i	−0.193588	−	0.335305i
$276$	−3.85228	+	2.41008i	−0.231880	+	0.145070i
$277$	−3.06337	+	5.30592i	−0.184060	+	0.318802i	−0.943259	−	0.332057i	$-0.892257\pi$
$277$	−3.06337	+	5.30592i	−0.184060	+	0.318802i	0.759199	+	0.650858i	$0.225591\pi$
$278$	24.3342			1.45947
$279$	14.2851	−	29.3698i	0.855229	−	1.75832i
$280$	8.55095			0.511017
$281$	−0.535788	+	0.928012i	−0.0319624	+	0.0553606i	−0.881564	−	0.472064i	$-0.843509\pi$
$281$	−0.535788	+	0.928012i	−0.0319624	+	0.0553606i	0.849602	+	0.527425i	$0.176842\pi$
$282$	0.544236	+	15.3460i	0.0324088	+	0.913842i
$283$	−8.36836	−	14.4944i	−0.497447	−	0.861604i	0.502548	−	0.864549i	$-0.332396\pi$
$283$	−8.36836	−	14.4944i	−0.497447	−	0.861604i	−0.999996	+	0.00294511i	$0.999063\pi$
$284$	0.203949	+	0.353251i	0.0121022	+	0.0209616i
$285$	−0.269242	−	7.59191i	−0.0159485	−	0.449706i
$286$	−4.93501	+	8.54769i	−0.291813	+	0.505435i
$287$	−24.1155			−1.42349
$288$	2.66385	−	5.47679i	0.156969	−	0.322723i
$289$	−12.8635			−0.756677
$290$	2.12611	−	3.68253i	0.124849	−	0.216246i
$291$	−21.3141	+	13.3346i	−1.24945	+	0.781689i
$292$	−0.890580	−	1.54253i	−0.0521172	−	0.0902697i
$293$	9.33008	+	16.1602i	0.545069	+	0.944088i	0.998603	+	0.0528483i	$0.0168300\pi$
$293$	9.33008	+	16.1602i	0.545069	+	0.944088i	−0.453533	+	0.891239i	$0.649837\pi$
$294$	10.6951	+	5.67922i	0.623749	+	0.331219i
$295$	0.514436	−	0.891029i	0.0299516	−	0.0518777i
$296$	16.8536			0.979596
$297$	30.5001	+	13.5201i	1.76980	+	0.784514i
$298$	−20.1136			−1.16515
$299$	−3.61253	+	6.25708i	−0.208918	+	0.361856i
$300$	−0.555474	−	0.294964i	−0.0320703	−	0.0170297i
$301$	−12.7149	−	22.0229i	−0.732876	−	1.26938i
$302$	−2.76762	−	4.79366i	−0.159259	−	0.275844i
$303$	−5.66535	+	3.54438i	−0.325466	+	0.203620i
$304$	−10.0753	+	17.4510i	−0.577861	+	1.00088i
$305$	13.6449			0.781302
$306$	9.35594	−	0.664440i	0.534843	−	0.0379835i
$307$	4.10870			0.234496			0.117248	−	0.993103i	$-0.462593\pi$
$307$	4.10870			0.234496			0.117248	+	0.993103i	$0.462593\pi$
$308$	−3.96134	+	6.86123i	−0.225718	+	0.390955i
$309$	−0.355113	−	10.0132i	−0.0202017	−	0.569633i
$310$	8.36762	+	14.4931i	0.475249	+	0.823155i
$311$	−5.16487	−	8.94582i	−0.292873	−	0.507271i	0.681615	−	0.731711i	$-0.261278\pi$
$311$	−5.16487	−	8.94582i	−0.292873	−	0.507271i	−0.974488	+	0.224440i	$0.927945\pi$
$312$	−0.154469	−	4.35561i	−0.00874507	−	0.246588i
$313$	−0.631102	+	1.09310i	−0.0356720	+	0.0617857i	−0.883310	−	0.468789i	$-0.844690\pi$
$313$	−0.631102	+	1.09310i	−0.0356720	+	0.0617857i	0.847638	+	0.530575i	$0.178024\pi$
$314$	−7.69750			−0.434395
$315$	5.70998	+	8.44560i	0.321721	+	0.475856i
$316$	−0.201182			−0.0113174
$317$	13.8187	−	23.9347i	0.776134	−	1.34430i	−0.158021	−	0.987436i	$-0.550511\pi$
$317$	13.8187	−	23.9347i	0.776134	−	1.34430i	0.934155	−	0.356868i	$-0.116155\pi$
$318$	−3.10020	+	1.93956i	−0.173850	+	0.108765i
$319$	−8.88013	−	15.3808i	−0.497192	−	0.861161i
$320$	−3.03401	−	5.25506i	−0.169606	−	0.293767i
$321$	−14.8119	−	7.86533i	−0.826721	−	0.439000i
$322$	−18.8715	+	32.6864i	−1.05167	+	1.82154i
$323$	−8.92030			−0.496339
$324$	3.23522	−	0.461848i	0.179735	−	0.0256582i
$325$	−1.00000			−0.0554700
$326$	0.477556	−	0.827151i	0.0264494	−	0.0458117i
$327$	14.1370	+	7.50692i	0.781777	+	0.415134i
$328$	8.92840	+	15.4644i	0.492988	+	0.853881i
$329$	9.79916	+	16.9727i	0.540245	+	0.935733i
$330$	−14.4928	+	9.06704i	−0.797801	+	0.499124i
$331$	−4.05542	+	7.02420i	−0.222906	+	0.386085i	−0.955689	−	0.294378i	$-0.904888\pi$
$331$	−4.05542	+	7.02420i	−0.222906	+	0.386085i	0.732783	+	0.680462i	$0.238221\pi$
$332$	4.59618			0.252248
$333$	11.2542	+	16.6460i	0.616724	+	0.912193i
$334$	3.37133			0.184471
$335$	−4.72270	+	8.17995i	−0.258029	+	0.446919i
$336$	−0.958428	−	27.0251i	−0.0522865	−	1.47434i
$337$	5.44175	+	9.42539i	0.296431	+	0.513434i	0.975317	−	0.220810i	$-0.0708701\pi$
$337$	5.44175	+	9.42539i	0.296431	+	0.513434i	−0.678886	+	0.734244i	$0.737537\pi$
$338$	0.768621	+	1.33129i	0.0418075	+	0.0724127i
$339$	−0.747831	−	21.0868i	−0.0406166	−	1.14528i
$340$	−0.369257	+	0.639572i	−0.0200258	+	0.0346857i
$341$	69.8981			3.78519
$342$	−20.1760	+	1.43286i	−1.09099	+	0.0774801i
$343$	−8.33247			−0.449911
$344$	−9.41502	+	16.3073i	−0.507624	+	0.879231i
$345$	−10.6090	+	6.63726i	−0.571170	+	0.357338i
$346$	9.31317	+	16.1309i	0.500679	+	0.867202i
$347$	8.67926	+	15.0329i	0.465927	+	0.807010i	0.999243	−	0.0389066i	$-0.0123875\pi$
$347$	8.67926	+	15.0329i	0.465927	+	0.807010i	−0.533316	+	0.845916i	$0.679054\pi$
$348$	−1.53652	−	0.815910i	−0.0823659	−	0.0437374i
$349$	−3.00236	+	5.20024i	−0.160713	+	0.278363i	−0.935125	−	0.354319i	$-0.884713\pi$
$349$	−3.00236	+	5.20024i	−0.160713	+	0.278363i	0.774412	+	0.632682i	$0.218046\pi$
$350$	−5.22391			−0.279230
$351$	4.19880	−	3.06106i	0.224115	−	0.163388i
$352$	13.0344			0.694735
$353$	1.74538	−	3.02309i	0.0928973	−	0.160903i	−0.815832	−	0.578289i	$-0.803721\pi$
$353$	1.74538	−	3.02309i	0.0928973	−	0.160903i	0.908729	+	0.417386i	$0.137054\pi$
$354$	−2.41949	−	1.28478i	−0.128595	−	0.0682854i
$355$	0.561668	+	0.972837i	0.0298102	+	0.0516328i
$356$	1.15708	+	2.00412i	0.0613251	+	0.106218i
$357$	10.1485	−	6.34917i	0.537117	−	0.336034i
$358$	4.54389	−	7.87025i	0.240152	−	0.415956i
$359$	16.1065			0.850070			0.425035	−	0.905177i	$-0.360262\pi$
$359$	16.1065			0.850070			0.425035	+	0.905177i	$0.360262\pi$
$360$	3.30184	−	6.78847i	0.174022	−	0.357784i
$361$	0.236537			0.0124493
$362$	15.1436	−	26.2294i	0.795927	−	1.37859i
$363$	1.85538	+	52.3168i	0.0973823	+	2.74592i
$364$	0.616973	+	1.06863i	0.0323382	+	0.0560113i
$365$	−2.45262	−	4.24806i	−0.128376	−	0.222354i
$366$	−1.28763	−	36.3077i	−0.0673055	−	1.89783i
$367$	1.44070	−	2.49537i	0.0752040	−	0.130257i	−0.825971	−	0.563713i	$-0.809373\pi$
$367$	1.44070	−	2.49537i	0.0752040	−	0.130257i	0.901175	+	0.433455i	$0.142706\pi$
$368$	33.1946			1.73039
$369$	−9.31189	+	19.1449i	−0.484758	+	0.996645i
$370$	−10.2961			−0.535271
$371$	−2.33365	+	4.04201i	−0.121157	+	0.209851i
$372$	5.80451	−	3.63144i	0.300950	−	0.188282i
$373$	6.26019	+	10.8430i	0.324140	+	0.561427i	0.981338	−	0.192291i	$-0.0615917\pi$
$373$	6.26019	+	10.8430i	0.324140	+	0.561427i	−0.657198	+	0.753718i	$0.728258\pi$
$374$	10.0370	+	17.3846i	0.519001	+	0.898937i
$375$	−1.52975	−	0.812318i	−0.0789960	−	0.0419479i
$376$	7.25599	−	12.5677i	0.374199	−	0.648132i
$377$	−2.76614			−0.142463
$378$	21.9341	−	15.9907i	1.12817	−	0.822474i
$379$	1.85826			0.0954522			0.0477261	−	0.998860i	$-0.484803\pi$
$379$	1.85826			0.0954522			0.0477261	+	0.998860i	$0.484803\pi$
$380$	0.796299	−	1.37923i	0.0408493	−	0.0707530i
$381$	15.0753	+	8.00520i	0.772333	+	0.410119i
$382$	−5.86797	−	10.1636i	−0.300232	−	0.520016i
$383$	13.9291	+	24.1258i	0.711742	+	1.23277i	0.964203	+	0.265166i	$0.0854268\pi$
$383$	13.9291	+	24.1258i	0.711742	+	1.23277i	−0.252461	+	0.967607i	$0.581240\pi$
$384$	−19.6587	+	12.2990i	−1.00321	+	0.627630i
$385$	−10.9094	+	18.8956i	−0.555992	+	0.963007i
$386$	−0.347766			−0.0177008
$387$	−22.3934	+	1.59033i	−1.13832	+	0.0808411i
$388$	−5.27079			−0.267584
$389$	−5.79901	+	10.0442i	−0.294022	+	0.509260i	−0.974757	−	0.223269i	$-0.928327\pi$
$389$	−5.79901	+	10.0442i	−0.294022	+	0.509260i	0.680735	+	0.732530i	$0.261660\pi$
$390$	0.0943674	+	2.66091i	0.00477848	+	0.134740i
$391$	7.34730	+	12.7259i	0.371569	+	0.643576i
$392$	−5.72204	−	9.91087i	−0.289007	−	0.500575i
$393$	−0.278049	−	7.84024i	−0.0140257	−	0.395488i
$394$	−0.104587	+	0.181150i	−0.00526902	+	0.00912621i
$395$	−0.554048			−0.0278772
$396$	3.91741	+	5.79422i	0.196857	+	0.291171i
$397$	−28.5096			−1.43086			−0.715428	−	0.698686i	$-0.753768\pi$
$397$	−28.5096			−1.43086			−0.715428	+	0.698686i	$0.753768\pi$
$398$	14.5696	−	25.2352i	0.730306	−	1.26493i
$399$	−21.8852	+	13.6919i	−1.09563	+	0.685453i
$400$	2.29719	+	3.97885i	0.114859	+	0.198942i
$401$	12.3708	+	21.4269i	0.617770	+	1.07001i	0.989892	+	0.141825i	$0.0452970\pi$
$401$	12.3708	+	21.4269i	0.617770	+	1.07001i	−0.372122	+	0.928184i	$0.621370\pi$
$402$	22.2118	+	11.7947i	1.10782	+	0.588269i
$403$	5.44326	−	9.42801i	0.271148	−	0.469643i
$404$	−1.40099			−0.0697020
$405$	8.90967	−	1.27191i	0.442725	−	0.0632017i
$406$	−14.4500			−0.717143
$407$	−21.5019	+	37.2425i	−1.06581	+	1.84604i
$408$	−7.82885	−	4.15722i	−0.387586	−	0.205813i
$409$	−17.2738	−	29.9191i	−0.854135	−	1.47941i	−0.877445	−	0.479677i	$-0.840754\pi$
$409$	−17.2738	−	29.9191i	−0.854135	−	1.47941i	0.0233104	−	0.999728i	$-0.492579\pi$
$410$	−5.45450	−	9.44747i	−0.269379	−	0.466577i
$411$	−15.2419	+	9.53573i	−0.751830	+	0.470363i
$412$	1.05027	−	1.81911i	0.0517429	−	0.0896214i
$413$	−3.49635			−0.172044
$414$	18.6623	+	27.6033i	0.917201	+	1.35663i
$415$	12.6577			0.621341
$416$	1.01504	−	1.75811i	0.0497666	−	0.0861983i
$417$	−0.971748	−	27.4007i	−0.0475867	−	1.34182i
$418$	−21.6447	−	37.4897i	−1.05868	−	1.83368i
$419$	8.77480	+	15.1984i	0.428677	+	0.742491i	0.996756	−	0.0804836i	$-0.0256464\pi$
$419$	8.77480	+	15.1984i	0.428677	+	0.742491i	−0.568079	+	0.822974i	$0.692313\pi$
$420$	0.0757488	+	2.13591i	0.00369616	+	0.104222i
$421$	−8.86105	+	15.3478i	−0.431861	+	0.748005i	−0.997034	−	0.0769674i	$-0.975476\pi$
$421$	−8.86105	+	15.3478i	−0.431861	+	0.748005i	0.565172	+	0.824973i	$0.308810\pi$
$422$	−7.80908			−0.380140
$423$	17.2582	−	1.22564i	0.839120	−	0.0595927i
$424$	3.45600			0.167838
$425$	−1.01692	+	1.76135i	−0.0493278	+	0.0854383i
$426$	2.53563	−	1.58635i	0.122852	−	0.0768590i
$427$	−23.1842	−	40.1562i	−1.12196	−	1.94330i
$428$	−1.75794	−	3.04484i	−0.0849731	−	0.147178i
$429$	9.82192	+	5.21557i	0.474207	+	0.251810i
$430$	5.75179	−	9.96239i	0.277376	−	0.480429i
$431$	2.86403			0.137956			0.0689778	−	0.997618i	$-0.478026\pi$
$431$	2.86403			0.137956			0.0689778	+	0.997618i	$0.478026\pi$
$432$	−21.8249	−	9.67452i	−1.05005	−	0.465466i
$433$	−0.204604			−0.00983262			−0.00491631	−	0.999988i	$-0.501565\pi$
$433$	−0.204604			−0.00983262			−0.00491631	+	0.999988i	$0.501565\pi$
$434$	28.4351	−	49.2511i	1.36493	−	2.36413i
$435$	−4.23150	−	2.24698i	−0.202885	−	0.107735i
$436$	1.67783	+	2.90609i	0.0803536	+	0.139176i
$437$	−15.8444	−	27.4432i	−0.757938	−	1.31279i
$438$	−11.0723	+	6.92708i	−0.529053	+	0.330989i
$439$	0.132982	−	0.230332i	0.00634690	−	0.0109932i	−0.862835	−	0.505487i	$-0.831313\pi$
$439$	0.132982	−	0.230332i	0.00634690	−	0.0109932i	0.869181	+	0.494493i	$0.164646\pi$
$440$	16.1561			0.770212
$441$	5.96782	−	12.2696i	0.284182	−	0.584268i
$442$	3.12650			0.148712
$443$	0.235237	−	0.407443i	0.0111765	−	0.0193582i	−0.860383	−	0.509648i	$-0.829776\pi$
$443$	0.235237	−	0.407443i	0.0111765	−	0.0193582i	0.871560	+	0.490290i	$0.163109\pi$
$444$	0.149298	+	4.20981i	0.00708537	+	0.199789i
$445$	3.18655	+	5.51926i	0.151057	+	0.261638i
$446$	−17.7486	−	30.7415i	−0.840422	−	1.45565i
$447$	0.803205	+	22.6482i	0.0379903	+	1.07122i
$448$	−10.3103	+	17.8579i	−0.487115	+	0.843707i
$449$	12.3105			0.580971			0.290485	−	0.956879i	$-0.406183\pi$
$449$	12.3105			0.580971			0.290485	+	0.956879i	$0.406183\pi$
$450$	−2.01715	+	4.14719i	−0.0950892	+	0.195500i
$451$	−45.5636			−2.14551
$452$	2.21175	−	3.83087i	0.104032	−	0.180189i
$453$	−5.28722	+	3.30782i	−0.248415	+	0.155415i
$454$	0.558004	+	0.966492i	0.0261884	+	0.0453597i
$455$	1.69912	+	2.94296i	0.0796559	+	0.137968i
$456$	16.8828	+	8.96500i	0.790611	+	0.419825i
$457$	−12.2429	+	21.2054i	−0.572699	+	0.991945i	0.423588	+	0.905855i	$0.360770\pi$
$457$	−12.2429	+	21.2054i	−0.572699	+	0.991945i	−0.996287	+	0.0860896i	$0.972563\pi$
$458$	−16.0921			−0.751933
$459$	−1.12179	−	10.5084i	−0.0523605	−	0.490491i
$460$	−2.62352			−0.122322
$461$	1.48777	−	2.57689i	0.0692923	−	0.120018i	−0.829298	−	0.558807i	$-0.811259\pi$
$461$	1.48777	−	2.57689i	0.0692923	−	0.120018i	0.898590	+	0.438789i	$0.144593\pi$
$462$	51.3088	+	27.2457i	2.38710	+	1.26758i
$463$	11.6616	+	20.1985i	0.541961	+	0.938704i	0.998791	+	0.0491501i	$0.0156513\pi$
$463$	11.6616	+	20.1985i	0.541961	+	0.938704i	−0.456830	+	0.889554i	$0.651015\pi$
$464$	6.35433	+	11.0060i	0.294992	+	0.510942i
$465$	15.9854	−	10.0008i	0.741305	−	0.463778i
$466$	14.3234	−	24.8089i	0.663519	−	1.14925i
$467$	13.6297			0.630710			0.315355	−	0.948974i	$-0.397876\pi$
$467$	13.6297			0.630710			0.315355	+	0.948974i	$0.397876\pi$
$468$	1.08660	−	0.0771685i	0.0502283	−	0.00356711i
$469$	32.0977			1.48213
$470$	−4.43280	+	7.67783i	−0.204470	+	0.354152i
$471$	0.307388	+	8.66753i	0.0141637	+	0.399379i
$472$	1.29447	+	2.24209i	0.0595828	+	0.103200i
$473$	−24.0235	−	41.6099i	−1.10460	−	1.91323i
$474$	0.0522840	+	1.47427i	0.00240148	+	0.0677155i
$475$	2.19297	−	3.79834i	0.100621	−	0.174280i
$476$	2.50964			0.115029
$477$	2.30778	+	3.41342i	0.105666	+	0.156290i
$478$	31.8639			1.45742
$479$	−20.4401	+	35.4032i	−0.933930	+	1.61761i	−0.157400	+	0.987535i	$0.550311\pi$
$479$	−20.4401	+	35.4032i	−0.933930	+	1.61761i	−0.776530	+	0.630080i	$0.783022\pi$
$480$	2.98091	−	1.86493i	0.136059	−	0.0851219i
$481$	3.34890	+	5.80046i	0.152697	+	0.264478i
$482$	1.06869	+	1.85103i	0.0486775	+	0.0843119i
$483$	37.5591	+	19.9444i	1.70900	+	0.907501i
$484$	−5.48739	+	9.50445i	−0.249427	+	0.432020i
$485$	−14.5155			−0.659116
$486$	−4.22522	−	23.5878i	−0.191660	−	1.06996i
$487$	22.9202			1.03861			0.519307	−	0.854588i	$-0.326190\pi$
$487$	22.9202			1.03861			0.519307	+	0.854588i	$0.326190\pi$
$488$	−17.1672	+	29.7345i	−0.777123	+	1.34602i
$489$	−0.950458	−	0.504706i	−0.0429812	−	0.0228236i
$490$	3.49569	+	6.05471i	0.157919	+	0.273524i
$491$	0.501506	+	0.868634i	0.0226327	+	0.0392009i	0.877120	−	0.480271i	$-0.159462\pi$
$491$	0.501506	+	0.868634i	0.0226327	+	0.0392009i	−0.854487	+	0.519472i	$0.826129\pi$
$492$	−3.78372	+	2.36719i	−0.170583	+	0.106721i
$493$	−2.81293	+	4.87215i	−0.126688	+	0.219430i
$494$	−6.74226			−0.303349
$495$	10.7884	+	15.9571i	0.484902	+	0.717216i
$496$	−50.0168			−2.24582
$497$	1.90868	−	3.30593i	0.0856160	−	0.148291i
$498$	−1.19447	−	33.6809i	−0.0535256	−	1.50928i
$499$	−18.2653	−	31.6364i	−0.817667	−	1.41624i	−0.907397	−	0.420275i	$-0.861934\pi$
$499$	−18.2653	−	31.6364i	−0.817667	−	1.41624i	0.0897295	−	0.995966i	$-0.471400\pi$
$500$	−0.181557	−	0.314466i	−0.00811947	−	0.0140633i
$501$	−0.134629	−	3.79618i	−0.00601478	−	0.169601i
$502$	1.43280	−	2.48169i	0.0639491	−	0.110763i
$503$	−19.2702			−0.859218			−0.429609	−	0.903015i	$-0.641349\pi$
$503$	−19.2702			−0.859218			−0.429609	+	0.903015i	$0.641349\pi$
$504$	−25.5884	+	1.81724i	−1.13980	+	0.0809462i
$505$	−3.85828			−0.171691
$506$	−35.6557	+	61.7575i	−1.58509	+	2.74546i
$507$	1.46836	−	0.918644i	0.0652123	−	0.0407984i
$508$	1.78920	+	3.09898i	0.0793829	+	0.137495i
$509$	−0.0984223	−	0.170472i	−0.00436249	−	0.00755606i	0.863836	−	0.503773i	$-0.168055\pi$
$509$	−0.0984223	−	0.170472i	−0.00436249	−	0.00755606i	−0.868198	+	0.496217i	$0.834722\pi$
$510$	4.78277	+	2.53971i	0.211785	+	0.112460i
$511$	−8.33458	+	14.4359i	−0.368700	+	0.638607i
$512$	13.7946			0.609640
$513$	2.41912	+	22.6613i	0.106807	+	1.00052i
$514$	−43.3565			−1.91237
$515$	2.89239	−	5.00977i	0.127454	−	0.220757i
$516$	−4.15675	−	2.20729i	−0.182991	−	0.0971705i
$517$	18.5145	+	32.0680i	0.814266	+	1.41035i
$518$	17.4943	+	30.3011i	0.768657	+	1.33135i
$519$	17.7918	−	11.1310i	0.780972	−	0.488595i
$520$	1.25815	−	2.17917i	0.0551733	−	0.0955630i
$521$	−19.3615			−0.848241			−0.424120	−	0.905606i	$-0.639417\pi$
$521$	−19.3615			−0.848241			−0.424120	+	0.905606i	$0.639417\pi$
$522$	−5.57970	+	11.4717i	−0.244217	+	0.502102i
$523$	−23.1582			−1.01264			−0.506319	−	0.862346i	$-0.668994\pi$
$523$	−23.1582			−1.01264			−0.506319	+	0.862346i	$0.668994\pi$
$524$	0.822345	−	1.42434i	0.0359243	−	0.0622227i
$525$	0.208609	+	5.88222i	0.00910444	+	0.256721i
$526$	−22.7729	−	39.4438i	−0.992945	−	1.71983i
$527$	−11.0707	−	19.1750i	−0.482248	−	0.835278i
$528$	−1.81085	−	51.0611i	−0.0788070	−	2.22215i
$529$	−14.6007	+	25.2892i	−0.634814	+	1.09953i
$530$	−2.11133			−0.0917102
$531$	−1.35007	+	2.77570i	−0.0585880	+	0.120455i
$532$	−5.41202			−0.234641
$533$	−3.54824	+	6.14573i	−0.153691	+	0.266201i
$534$	14.3855	−	8.99995i	0.622523	−	0.389466i
$535$	−4.84129	−	8.38535i	−0.209307	−	0.362530i
$536$	−11.8837	−	20.5831i	−0.513297	−	0.889056i
$537$	−9.04350	−	4.80222i	−0.390256	−	0.207231i
$538$	6.80319	−	11.7835i	0.293307	−	0.508022i
$539$	29.2009			1.25777
$540$	1.72492	+	0.764620i	0.0742287	+	0.0329040i
$541$	30.5652			1.31410			0.657051	−	0.753847i	$-0.271804\pi$
$541$	30.5652			1.31410			0.657051	+	0.753847i	$0.271804\pi$
$542$	9.84173	−	17.0464i	0.422738	−	0.732204i
$543$	−30.1395	−	16.0045i	−1.29341	−	0.686818i
$544$	−2.06443	−	3.57570i	−0.0885118	−	0.153307i
$545$	4.62068	+	8.00325i	0.197928	+	0.342822i
$546$	7.67060	−	4.79892i	0.328271	−	0.205375i
$547$	−5.11998	+	8.86806i	−0.218914	+	0.379171i	−0.954476	−	0.298287i	$-0.903585\pi$
$547$	−5.11998	+	8.86806i	−0.218914	+	0.379171i	0.735562	+	0.677458i	$0.236918\pi$
$548$	−3.76920			−0.161012
$549$	−40.8317	+	2.89979i	−1.74266	+	0.123760i
$550$	−9.87002			−0.420859
$551$	6.06606	−	10.5067i	0.258423	−	0.447602i
$552$	−1.11604	−	31.4695i	−0.0475020	−	1.33943i
$553$	0.941392	+	1.63054i	0.0400321	+	0.0693376i
$554$	4.70914	+	8.15648i	0.200072	+	0.346536i
$555$	0.411161	+	11.5936i	0.0174528	+	0.492123i
$556$	2.87400	−	4.97791i	0.121885	−	0.211111i
$557$	−32.2670			−1.36719			−0.683597	−	0.729859i	$-0.739586\pi$
$557$	−32.2670			−1.36719			−0.683597	+	0.729859i	$0.739586\pi$
$558$	−28.1198	−	41.5919i	−1.19041	−	1.76073i
$559$	−7.48326			−0.316508
$560$	7.80638	−	13.5211i	0.329880	−	0.571369i
$561$	19.1746	−	11.9961i	0.809551	−	0.506475i
$562$	0.823636	+	1.42658i	0.0347430	+	0.0601766i
$563$	7.09282	+	12.2851i	0.298927	+	0.517756i	0.975891	−	0.218260i	$-0.0700381\pi$
$563$	7.09282	+	12.2851i	0.298927	+	0.517756i	−0.676964	+	0.736016i	$0.736705\pi$
$564$	3.20353	+	1.70112i	0.134893	+	0.0716300i
$565$	6.09108	−	10.5501i	0.256253	−	0.443844i
$566$	−25.7284			−1.08144
$567$	−18.8818	−	24.0597i	−0.792959	−	1.01041i
$568$	−2.82664			−0.118603
$569$	18.2117	−	31.5435i	0.763473	−	1.32237i	−0.177578	−	0.984107i	$-0.556826\pi$
$569$	18.2117	−	31.5435i	0.763473	−	1.32237i	0.941050	−	0.338267i	$-0.109841\pi$
$570$	−10.3140	−	5.47686i	−0.432005	−	0.229401i
$571$	−3.07571	−	5.32729i	−0.128714	−	0.222940i	0.794464	−	0.607311i	$-0.207752\pi$
$571$	−3.07571	−	5.32729i	−0.128714	−	0.222940i	−0.923179	+	0.384371i	$0.874418\pi$
$572$	1.16570	+	2.01906i	0.0487405	+	0.0844211i
$573$	−11.2101	+	7.01331i	−0.468309	+	0.292985i
$574$	−18.5357	+	32.1047i	−0.773664	+	1.34003i
$575$	−7.22506			−0.301306
$576$	10.1960	+	15.0808i	0.424831	+	0.628366i
$577$	24.9030			1.03673			0.518363	−	0.855161i	$-0.326542\pi$
$577$	24.9030			1.03673			0.518363	+	0.855161i	$0.326542\pi$
$578$	−9.88716	+	17.1251i	−0.411252	+	0.712309i
$579$	0.0138875	+	0.391590i	0.000577145	+	0.0162739i
$580$	−0.502211	−	0.869854i	−0.0208532	−	0.0361187i
$581$	−21.5069	−	37.2510i	−0.892256	−	1.54543i
$582$	1.36979	+	38.6245i	0.0567797	+	1.60104i
$583$	−4.40919	+	7.63694i	−0.182610	+	0.316290i
$584$	12.3430			0.510757
$585$	2.99246	−	0.212519i	0.123723	−	0.00878657i
$586$	28.6852			1.18497
$587$	17.3792	−	30.1016i	0.717315	−	1.24243i	−0.244745	−	0.969588i	$-0.578704\pi$
$587$	17.3792	−	30.1016i	0.717315	−	1.24243i	0.962060	−	0.272839i	$-0.0879625\pi$
$588$	2.42492	−	1.51709i	0.100002	−	0.0625636i
$589$	23.8739	+	41.3508i	0.983706	+	1.70383i
$590$	−0.790812	−	1.36973i	−0.0325572	−	0.0563908i
$591$	0.208155	+	0.110533i	0.00856235	+	0.00454672i
$592$	15.3861	−	26.6495i	0.632365	−	1.09529i
$593$	0.0646220			0.00265371			0.00132685	−	0.999999i	$-0.499578\pi$
$593$	0.0646220			0.00265371			0.00132685	+	0.999999i	$0.499578\pi$
$594$	41.4422	−	30.2128i	1.70039	−	1.23964i
$595$	6.91146			0.283342
$596$	−2.37552	+	4.11453i	−0.0973052	+	0.168538i
$597$	−28.9971	−	15.3979i	−1.18677	−	0.630192i
$598$	5.55333	+	9.61865i	0.227093	+	0.393336i
$599$	3.20423	+	5.54988i	0.130921	+	0.226762i	0.924032	−	0.382315i	$-0.124873\pi$
$599$	3.20423	+	5.54988i	0.130921	+	0.226762i	−0.793111	+	0.609077i	$0.791540\pi$
$600$	3.69483	−	2.31158i	0.150841	−	0.0943697i
$601$	−17.5699	+	30.4320i	−0.716693	+	1.24135i	0.245611	+	0.969369i	$0.421012\pi$
$601$	−17.5699	+	30.4320i	−0.716693	+	1.24135i	−0.962303	+	0.271979i	$0.912322\pi$
$602$	−39.0919			−1.59326
$603$	12.3941	−	25.4819i	0.504727	−	1.03770i
$604$	−1.30748			−0.0532008
$605$	−15.1121	+	26.1749i	−0.614393	+	1.06416i
$606$	0.364095	+	10.2665i	0.0147904	+	0.417049i
$607$	2.21522	+	3.83688i	0.0899131	+	0.155734i	0.907474	−	0.420108i	$-0.138008\pi$
$607$	2.21522	+	3.83688i	0.0899131	+	0.155734i	−0.817561	+	0.575842i	$0.804674\pi$
$608$	4.45193	+	7.71096i	0.180549	+	0.312721i
$609$	0.577041	+	16.2710i	0.0233829	+	0.659335i
$610$	10.4877	−	18.1653i	0.424635	−	0.735490i
$611$	5.76721			0.233316
$612$	0.969067	−	1.99237i	0.0391722	−	0.0805368i
$613$	−19.8910			−0.803392			−0.401696	−	0.915773i	$-0.631579\pi$
$613$	−19.8910			−0.803392			−0.401696	+	0.915773i	$0.631579\pi$
$614$	3.15803	−	5.46987i	0.127448	−	0.220746i
$615$	−10.4202	+	6.51914i	−0.420183	+	0.262877i
$616$	−27.4511	−	47.5467i	−1.10604	−	1.91571i
$617$	5.88655	+	10.1958i	0.236984	+	0.410468i	0.959847	−	0.280523i	$-0.0905078\pi$
$617$	5.88655	+	10.1958i	0.236984	+	0.410468i	−0.722864	+	0.690991i	$0.757175\pi$
$618$	−13.6035	−	7.22363i	−0.547212	−	0.290577i
$619$	−4.98763	+	8.63882i	−0.200470	+	0.347223i	−0.948680	−	0.316238i	$-0.897580\pi$
$619$	−4.98763	+	8.63882i	−0.200470	+	0.347223i	0.748210	+	0.663462i	$0.230913\pi$
$620$	3.95305			0.158758
$621$	30.3365	−	22.1164i	1.21736	−	0.887499i
$622$	−15.8793			−0.636703
$623$	10.8286	−	18.7557i	0.433840	−	0.751433i
$624$	−7.02825	−	3.73210i	−0.281355	−	0.149403i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	0.970157	+	1.68036i	0.0387753	+	0.0671608i
$627$	−41.3497	+	25.8694i	−1.65135	+	1.03312i
$628$	−0.909118	+	1.57464i	−0.0362778	+	0.0628349i
$629$	13.6222			0.543154
$630$	15.6324	−	1.11018i	0.622808	−	0.0442306i
$631$	−18.6094			−0.740829			−0.370414	−	0.928867i	$-0.620784\pi$
$631$	−18.6094			−0.740829			−0.370414	+	0.928867i	$0.620784\pi$
$632$	0.697072	−	1.20736i	0.0277281	−	0.0480264i
$633$	0.311844	+	8.79317i	0.0123947	+	0.349497i
$634$	−21.2427	−	36.7934i	−0.843654	−	1.46125i
$635$	4.92738	+	8.53447i	0.195537	+	0.338680i
$636$	0.0306151	+	0.863264i	0.00121397	+	0.0342306i
$637$	2.27400	−	3.93868i	0.0900992	−	0.156056i
$638$	−27.3018			−1.08089
$639$	−1.88752	−	2.79181i	−0.0746690	−	0.110442i
$640$	−13.3882			−0.529214
$641$	−14.2066	+	24.6066i	−0.561128	+	0.971903i	0.436270	+	0.899816i	$0.356299\pi$
$641$	−14.2066	+	24.6066i	−0.561128	+	0.971903i	−0.997398	+	0.0720870i	$0.977034\pi$
$642$	−21.8558	+	13.6735i	−0.862580	+	0.539651i
$643$	−14.9213	−	25.8444i	−0.588438	−	1.01920i	−0.994437	−	0.105331i	$-0.966410\pi$
$643$	−14.9213	−	25.8444i	−0.588438	−	1.01920i	0.405999	−	0.913874i	$-0.366924\pi$
$644$	4.45766	+	7.72090i	0.175657	+	0.304246i
$645$	−11.4475	−	6.07878i	−0.450746	−	0.239352i
$646$	−6.85633	+	11.8755i	−0.269759	+	0.467236i
$647$	35.3382			1.38929			0.694643	−	0.719354i	$-0.255562\pi$
$647$	35.3382			1.38929			0.694643	+	0.719354i	$0.255562\pi$
$648$	−8.43795	+	21.0160i	−0.331474	+	0.825585i
$649$	−6.60597			−0.259307
$650$	−0.768621	+	1.33129i	−0.0301478	+	0.0522175i
$651$	−56.5931	−	30.0517i	−2.21806	−	1.17782i
$652$	−0.112804	−	0.195382i	−0.00441775	−	0.00765176i
$653$	4.92187	+	8.52493i	0.192608	+	0.333606i	0.946114	−	0.323835i	$-0.104972\pi$
$653$	4.92187	+	8.52493i	0.192608	+	0.333606i	−0.753506	+	0.657441i	$0.771639\pi$
$654$	20.8599	−	13.0505i	0.815686	−	0.510313i
$655$	2.26470	−	3.92258i	0.0884893	−	0.153268i
$656$	32.6039			1.27297
$657$	8.24217	+	12.1909i	0.321558	+	0.475614i
$658$	30.1274			1.17449
$659$	−1.20650	+	2.08972i	−0.0469986	+	0.0814040i	−0.888568	−	0.458745i	$-0.848299\pi$
$659$	−1.20650	+	2.08972i	−0.0469986	+	0.0814040i	0.841569	+	0.540149i	$0.181632\pi$
$660$	0.143119	+	4.03558i	0.00557091	+	0.157085i
$661$	13.4563	+	23.3070i	0.523389	+	0.906536i	0.999629	+	0.0272209i	$0.00866576\pi$
$661$	13.4563	+	23.3070i	0.523389	+	0.906536i	−0.476241	+	0.879315i	$0.658001\pi$
$662$	6.23417	+	10.7979i	0.242298	+	0.419672i
$663$	−0.124852	−	3.52050i	−0.00484885	−	0.136725i
$664$	−15.9252	+	27.5833i	−0.618018	+	1.07044i
$665$	−14.9045			−0.577971
$666$	30.8108	−	2.18812i	1.19389	−	0.0847880i
$667$	−19.9855			−0.773841
$668$	0.398173	−	0.689655i	0.0154058	−	0.0266836i
$669$	−33.9067	+	21.2129i	−1.31091	+	0.820138i
$670$	7.25993	+	12.5746i	0.280476	+	0.485798i
$671$	−43.8041	−	75.8709i	−1.69104	−	2.92896i
$672$	−10.5533	−	5.60395i	−0.407103	−	0.216177i
$673$	22.1606	−	38.3833i	0.854228	−	1.47957i	−0.0231316	−	0.999732i	$-0.507364\pi$
$673$	22.1606	−	38.3833i	0.854228	−	1.47957i	0.877359	−	0.479834i	$-0.159303\pi$
$674$	16.7306			0.644438
$675$	4.75036	+	2.10573i	0.182841	+	0.0810496i
$676$	0.363114			0.0139659
$677$	−9.19371	+	15.9240i	−0.353343	+	0.612008i	−0.986833	−	0.161743i	$-0.948288\pi$
$677$	−9.19371	+	15.9240i	−0.353343	+	0.612008i	0.633490	+	0.773751i	$0.281622\pi$
$678$	−28.6475	−	15.2122i	−1.10020	−	0.584222i
$679$	24.6636	+	42.7186i	0.946501	+	1.63939i
$680$	−2.55886	−	4.43208i	−0.0981279	−	0.169963i
$681$	1.06600	−	0.666918i	0.0408494	−	0.0255564i
$682$	53.7251	−	93.0546i	2.05724	−	3.56325i
$683$	−9.69974			−0.371150			−0.185575	−	0.982630i	$-0.559415\pi$
$683$	−9.69974			−0.371150			−0.185575	+	0.982630i	$0.559415\pi$
$684$	−2.08978	+	4.29652i	−0.0799048	+	0.164282i
$685$	−10.3802			−0.396608
$686$	−6.40451	+	11.0929i	−0.244525	+	0.423531i
$687$	0.642612	+	18.1200i	0.0245172	+	0.691320i
$688$	17.1904	+	29.7747i	0.655380	+	1.13515i
$689$	0.686726	+	1.18944i	0.0261622	+	0.0453142i
$690$	0.681810	+	19.2252i	0.0259561	+	0.731891i
$691$	9.22174	−	15.9725i	0.350811	−	0.607623i	−0.635580	−	0.772035i	$-0.719239\pi$
$691$	9.22174	−	15.9725i	0.350811	−	0.607623i	0.986392	+	0.164411i	$0.0525725\pi$
$692$	4.39975			0.167253
$693$	28.6302	−	58.8627i	1.08757	−	2.23601i
$694$	26.6843			1.01292
$695$	7.91488	−	13.7090i	0.300228	−	0.520011i
$696$	10.2204	−	6.39413i	0.387403	−	0.242369i
$697$	7.21654	+	12.4994i	0.273346	+	0.473449i
$698$	4.61536	+	7.99403i	0.174694	+	0.302579i
$699$	−28.5072	−	15.1377i	−1.07824	−	0.572561i
$700$	−0.616973	+	1.06863i	−0.0233194	+	0.0403903i
$701$	36.0483			1.36153			0.680764	−	0.732503i	$-0.261648\pi$
$701$	36.0483			1.36153			0.680764	+	0.732503i	$0.261648\pi$
$702$	−0.847884	−	7.94262i	−0.0320013	−	0.299775i
$703$	−29.3762			−1.10794
$704$	−19.4802	+	33.7406i	−0.734186	+	1.27165i
$705$	8.82240	+	4.68481i	0.332271	+	0.176440i
$706$	−2.68307	−	4.64722i	−0.100979	−	0.174900i
$707$	6.55566	+	11.3547i	0.246551	+	0.427039i
$708$	−0.548577	+	0.343203i	−0.0206168	+	0.0128984i
$709$	3.78932	−	6.56329i	0.142311	−	0.246490i	−0.786056	−	0.618156i	$-0.787880\pi$
$709$	3.78932	−	6.56329i	0.142311	−	0.246490i	0.928366	+	0.371666i	$0.121213\pi$
$710$	1.72684			0.0648071
$711$	1.65797	−	0.117746i	0.0621786	−	0.00441580i
$712$	−16.0366			−0.600995
$713$	39.3279	−	68.1179i	1.47284	−	2.55104i
$714$	−0.652216	−	18.3908i	−0.0244086	−	0.688257i
$715$	3.21030	+	5.56040i	0.120058	+	0.207947i
$716$	−1.07332	−	1.85904i	−0.0401117	−	0.0694756i
$717$	−1.27244	−	35.8793i	−0.0475200	−	1.33994i
$718$	12.3798	−	21.4425i	0.462011	−	0.800226i
$719$	−15.5313			−0.579218			−0.289609	−	0.957145i	$-0.593525\pi$
$719$	−15.5313			−0.579218			−0.289609	+	0.957145i	$0.593525\pi$
$720$	−7.71983	−	11.4184i	−0.287701	−	0.425537i
$721$	−19.6580			−0.732104
$722$	0.181808	−	0.314900i	0.00676618	−	0.0117194i
$723$	2.04161	−	1.27728i	0.0759284	−	0.0475027i
$724$	−3.57708	−	6.19568i	−0.132941	−	0.230260i
$725$	−1.38307	−	2.39554i	−0.0513658	−	0.0889682i
$726$	71.0750	+	37.7418i	2.63784	+	1.40073i
$727$	4.71524	−	8.16704i	0.174879	−	0.302899i	−0.765241	−	0.643744i	$-0.777380\pi$
$727$	4.71524	−	8.16704i	0.174879	−	0.302899i	0.940119	+	0.340846i	$0.110713\pi$
$728$	−8.55095			−0.316919
$729$	−26.3916	+	5.69961i	−0.977465	+	0.211097i
$730$	−7.54054			−0.279088
$731$	−7.60986	+	13.1807i	−0.281461	+	0.487505i
$732$	−7.57936	−	4.02474i	−0.280141	−	0.148759i
$733$	4.80993	+	8.33104i	0.177659	+	0.307714i	0.941078	−	0.338189i	$-0.109814\pi$
$733$	4.80993	+	8.33104i	0.177659	+	0.307714i	−0.763419	+	0.645903i	$0.776481\pi$
$734$	−2.21471	−	3.83599i	−0.0817464	−	0.141589i
$735$	6.67812	−	4.17799i	0.246326	−	0.154108i
$736$	7.33375	−	12.7024i	0.270325	−	0.468217i
$737$	60.6451			2.23389
$738$	18.3302	+	27.1120i	0.674742	+	0.998008i
$739$	−0.000498283	0		−1.83296e−5	0		−9.16481e−6	−	1.00000i	$-0.500003\pi$
$739$	−0.000498283	0		−1.83296e−5	0		−9.16481e−6		1.00000i	$0.500003\pi$
$740$	−1.21603	+	2.10623i	−0.0447022	+	0.0774265i
$741$	0.269242	+	7.59191i	0.00989086	+	0.278896i
$742$	3.58739	+	6.21355i	0.131697	+	0.228106i
$743$	−11.4500	−	19.8320i	−0.420059	−	0.727564i	0.575886	−	0.817530i	$-0.304657\pi$
$743$	−11.4500	−	19.8320i	−0.420059	−	0.727564i	−0.995945	+	0.0899664i	$0.971324\pi$
$744$	1.68163	+	47.4174i	0.0616515	+	1.73841i
$745$	−6.54209	+	11.3312i	−0.239684	+	0.415144i
$746$	19.2469			0.704677
$747$	−37.8776	+	2.68999i	−1.38587	+	0.0984218i
$748$	4.74170			0.173374
$749$	−16.4518	+	28.4954i	−0.601137	+	1.04120i
$750$	−2.25723	+	1.41218i	−0.0824224	+	0.0515655i
$751$	20.4914	+	35.4922i	0.747743	+	1.29513i	0.948902	+	0.315571i	$0.102196\pi$
$751$	20.4914	+	35.4922i	0.747743	+	1.29513i	−0.201159	+	0.979559i	$0.564471\pi$
$752$	−13.2484	−	22.9468i	−0.483118	−	0.836785i
$753$	−2.85164	−	1.51426i	−0.103920	−	0.0551827i
$754$	−2.12611	+	3.68253i	−0.0774284	+	0.134110i
$755$	−3.60076			−0.131045
$756$	−0.680597	−	6.37554i	−0.0247531	−	0.231876i
$757$	43.9409			1.59706			0.798529	−	0.601957i	$-0.205612\pi$
$757$	43.9409			1.59706			0.798529	+	0.601957i	$0.205612\pi$
$758$	1.42830	−	2.47388i	0.0518780	−	0.0898554i
$759$	70.9639	+	37.6828i	2.57583	+	1.36780i
$760$	5.51816	+	9.55773i	0.200165	+	0.346695i
$761$	−8.47327	−	14.6761i	−0.307156	−	0.532009i	0.670583	−	0.741834i	$-0.266044\pi$
$761$	−8.47327	−	14.6761i	−0.307156	−	0.532009i	−0.977739	+	0.209825i	$0.932711\pi$
$762$	22.2445	−	13.9167i	0.805832	−	0.504148i
$763$	15.7022	−	27.1969i	0.568456	−	0.984595i
$764$	−2.77216			−0.100293
$765$	2.66877	−	5.48690i	0.0964896	−	0.198379i
$766$	42.8247			1.54732
$767$	−0.514436	+	0.891029i	−0.0185752	+	0.0321732i
$768$	0.518408	+	14.6177i	0.0187064	+	0.527472i
$769$	−6.53562	−	11.3200i	−0.235680	−	0.408211i	0.723790	−	0.690021i	$-0.242399\pi$
$769$	−6.53562	−	11.3200i	−0.235680	−	0.408211i	−0.959470	+	0.281810i	$0.909065\pi$
$770$	16.7703	+	29.0470i	0.604360	+	1.04678i
$771$	1.73138	+	48.8202i	0.0623540	+	1.75822i
$772$	−0.0410731	+	0.0711406i	−0.00147825	+	0.00256041i
$773$	28.1512			1.01253			0.506264	−	0.862379i	$-0.331026\pi$
$773$	28.1512			1.01253			0.506264	+	0.862379i	$0.331026\pi$
$774$	−15.0948	+	31.0344i	−0.542572	+	1.11551i
$775$	10.8865			0.391056
$776$	18.2626	−	31.6318i	0.655591	−	1.13552i
$777$	33.4210	−	20.9090i	1.19897	−	0.750106i
$778$	8.91449	+	15.4403i	0.319600	+	0.553563i
$779$	−15.5624	−	26.9548i	−0.557580	−	0.965757i
$780$	0.555474	+	0.294964i	0.0198891	+	0.0105614i
$781$	3.60625	−	6.24620i	0.129042	−	0.223507i
$782$	22.5891			0.807786
$783$	13.1401	+	5.82474i	0.469590	+	0.208159i
$784$	−20.8952			−0.746258
$785$	−2.50367	+	4.33649i	−0.0893599	+	0.154776i
$786$	−10.6513	−	5.65601i	−0.379921	−	0.201743i
$787$	1.06992	+	1.85315i	0.0381384	+	0.0660577i	0.884465	−	0.466607i	$-0.154524\pi$
$787$	1.06992	+	1.85315i	0.0381384	+	0.0660577i	−0.846326	+	0.532665i	$0.821191\pi$
$788$	0.0247046	+	0.0427897i	0.000880066	+	0.00152432i
$789$	−43.5050	+	27.2178i	−1.54882	+	0.968980i
$790$	−0.425853	+	0.737598i	−0.0151512	+	0.0262426i
$791$	−41.3978			−1.47194
$792$	−48.3465	+	3.43347i	−1.71792	+	0.122003i
$793$	−13.6449			−0.484543
$794$	−21.9131	+	37.9546i	−0.777666	+	1.34696i
$795$	0.0843127	+	2.37739i	0.00299026	+	0.0843174i
$796$	−3.44149	−	5.96084i	−0.121980	−	0.211276i
$797$	−1.46903	−	2.54444i	−0.0520359	−	0.0901287i	0.838834	−	0.544387i	$-0.183238\pi$
$797$	−1.46903	−	2.54444i	−0.0520359	−	0.0901287i	−0.890870	+	0.454258i	$0.849904\pi$
$798$	1.40650	+	39.6595i	0.0497894	+	1.40393i
$799$	5.86478	−	10.1581i	0.207481	−	0.359368i
$800$	2.03009			0.0717744
$801$	−10.7086	−	15.8390i	−0.378369	−	0.559643i
$802$	38.0339			1.34302
$803$	−15.7473	+	27.2751i	−0.555710	+	0.962518i
$804$	5.03612	−	3.15072i	0.177610	−	0.111117i
$805$	12.2762	+	21.2630i	0.432680	+	0.749423i
$806$	−8.36762	−	14.4931i	−0.294737	−	0.510499i
$807$	−13.5401	−	7.18996i	−0.476634	−	0.253099i
$808$	4.85427	−	8.40785i	0.170773	−	0.295787i
$809$	−41.7423			−1.46758			−0.733791	−	0.679376i	$-0.762251\pi$
$809$	−41.7423			−1.46758			−0.733791	+	0.679376i	$0.762251\pi$
$810$	5.15488	−	12.8390i	0.181124	−	0.451116i
$811$	22.2354			0.780791			0.390395	−	0.920647i	$-0.372338\pi$
$811$	22.2354			0.780791			0.390395	+	0.920647i	$0.372338\pi$
$812$	−1.70663	+	2.95597i	−0.0598910	+	0.103734i
$813$	−19.5875	−	10.4012i	−0.686965	−	0.364787i
$814$	33.0537	+	57.2507i	1.15853	+	2.00664i
$815$	−0.310658	−	0.538075i	−0.0108819	−	0.0188479i
$816$	−13.7207	+	8.58401i	−0.480321	+	0.300500i
$817$	16.4106	−	28.4240i	0.574134	−	0.994429i
$818$	−53.1081			−1.85688
$819$	−5.70998	−	8.44560i	−0.199523	−	0.295113i
$820$	−2.57683			−0.0899867
$821$	−24.1240	+	41.7839i	−0.841932	+	1.45827i	0.0463271	+	0.998926i	$0.485248\pi$
$821$	−24.1240	+	41.7839i	−0.841932	+	1.45827i	−0.888259	+	0.459343i	$0.848085\pi$
$822$	0.979555	+	27.6208i	0.0341659	+	0.963387i
$823$	−3.89597	−	6.74803i	−0.135805	−	0.235221i	0.790100	−	0.612978i	$-0.210029\pi$
$823$	−3.89597	−	6.74803i	−0.135805	−	0.235221i	−0.925905	+	0.377757i	$0.876695\pi$
$824$	7.27810	+	12.6060i	0.253544	+	0.439152i
$825$	0.394144	+	11.1138i	0.0137223	+	0.386934i
$826$	−2.68737	+	4.65465i	−0.0935054	+	0.161956i
$827$	33.2420			1.15594			0.577968	−	0.816059i	$-0.303846\pi$
$827$	33.2420			1.15594			0.577968	+	0.816059i	$0.303846\pi$
$828$	7.85078	−	0.557547i	0.272833	−	0.0193761i
$829$	26.8829			0.933681			0.466840	−	0.884342i	$-0.345392\pi$
$829$	26.8829			0.933681			0.466840	+	0.884342i	$0.345392\pi$
$830$	9.72896	−	16.8511i	0.337697	−	0.584909i
$831$	8.99629	−	5.62830i	0.312078	−	0.195244i
$832$	3.03401	+	5.25506i	0.105185	+	0.182186i
$833$	−4.62495	−	8.01064i	−0.160245	−	0.277552i
$834$	−37.2252	−	19.7671i	−1.28900	−	0.684478i
$835$	1.09655	−	1.89928i	0.0379477	−	0.0657274i
$836$	−10.2254			−0.353654
$837$	−45.7103	+	33.3244i	−1.57998	+	1.15186i
$838$	26.9780			0.931939
$839$	−13.1152	+	22.7163i	−0.452788	+	0.784252i	−0.998558	−	0.0536830i	$-0.982904\pi$
$839$	−13.1152	+	22.7163i	−0.452788	+	0.784252i	0.545770	+	0.837935i	$0.316237\pi$
$840$	−13.0808	−	6.94609i	−0.451331	−	0.239663i
$841$	10.6742	+	18.4883i	0.368078	+	0.637529i
$842$	13.6216	+	23.5933i	0.469431	+	0.813078i
$843$	1.57346	−	0.984397i	0.0541930	−	0.0339044i
$844$	−0.922296	+	1.59746i	−0.0317467	+	0.0549870i
$845$	1.00000			0.0344010
$846$	11.6333	−	23.9177i	0.399961	−	0.822307i
$847$	102.709			3.52911
$848$	3.15508	−	5.46475i	0.108346	−	0.187660i
$849$	1.02742	+	28.9706i	0.0352611	+	0.994270i
$850$	1.56325	+	2.70763i	0.0536190	+	0.0928709i
$851$	24.1960	+	41.9087i	0.829428	+	1.43661i
$852$	−0.0250399	−	0.706057i	−0.000857851	−	0.0241891i
$853$	−19.5141	+	33.7995i	−0.668151	+	1.15727i	0.310269	+	0.950649i	$0.399581\pi$
$853$	−19.5141	+	33.7995i	−0.668151	+	1.15727i	−0.978421	+	0.206624i	$0.933752\pi$
$854$	−71.2795			−2.43913
$855$	−5.75517	+	11.8324i	−0.196823	+	0.404661i
$856$	24.3642			0.832750
$857$	11.1957	−	19.3916i	0.382439	−	0.662403i	−0.608971	−	0.793192i	$-0.708418\pi$
$857$	11.1957	−	19.3916i	0.382439	−	0.662403i	0.991410	+	0.130789i	$0.0417510\pi$
$858$	14.4928	−	9.06704i	0.494775	−	0.309544i
$859$	−2.17176	−	3.76160i	−0.0740995	−	0.128344i	0.826595	−	0.562797i	$-0.190275\pi$
$859$	−2.17176	−	3.76160i	−0.0740995	−	0.128344i	−0.900694	+	0.434453i	$0.856942\pi$
$860$	−1.35864	−	2.35323i	−0.0463291	−	0.0802444i
$861$	36.8907	+	19.5895i	1.25723	+	0.667607i
$862$	2.20135	−	3.81286i	0.0749784	−	0.129866i
$863$	38.3700			1.30613			0.653065	−	0.757302i	$-0.273483\pi$
$863$	38.3700			1.30613			0.653065	+	0.757302i	$0.273483\pi$
$864$	−8.52392	+	6.21423i	−0.289990	+	0.211412i
$865$	12.1167			0.411981
$866$	−0.157263	+	0.272387i	−0.00534400	+	0.00925608i
$867$	19.6780	+	10.4493i	0.668299	+	0.354875i
$868$	−6.71669	−	11.6337i	−0.227979	−	0.394872i
$869$	1.77866	+	3.08073i	0.0603369	+	0.104507i
$870$	−6.24381	+	3.90628i	−0.211685	+	0.132435i
$871$	4.72270	−	8.17995i	0.160023	−	0.277167i
$872$	−23.2539			−0.787478
$873$	43.4372	−	3.08482i	1.47013	−	0.104405i
$874$	−48.7132			−1.64775
$875$	−1.69912	+	2.94296i	−0.0574407	+	0.0994901i
$876$	0.109341	+	3.08312i	0.00369429	+	0.104169i
$877$	11.1614	+	19.3321i	0.376893	+	0.652798i	0.990608	−	0.136729i	$-0.0436590\pi$
$877$	11.1614	+	19.3321i	0.376893	+	0.652798i	−0.613715	+	0.789528i	$0.710326\pi$
$878$	−0.204426	−	0.354076i	−0.00689905	−	0.0119495i
$879$	−1.14550	−	32.3001i	−0.0386368	−	1.08945i
$880$	14.7493	−	25.5466i	0.497200	−	0.861175i
$881$	32.6292			1.09931			0.549653	−	0.835393i	$-0.314760\pi$
$881$	32.6292			1.09931			0.549653	+	0.835393i	$0.314760\pi$
$882$	−11.7475	−	17.3756i	−0.395558	−	0.585067i
$883$	−16.8502			−0.567056			−0.283528	−	0.958964i	$-0.591505\pi$
$883$	−16.8502			−0.567056			−0.283528	+	0.958964i	$0.591505\pi$
$884$	0.369257	−	0.639572i	0.0124195	−	0.0215111i
$885$	−1.51076	+	0.945167i	−0.0507836	+	0.0317714i
$886$	−0.361617	−	0.626338i	−0.0121487	−	0.0210422i
$887$	−13.1567	−	22.7881i	−0.441759	−	0.765150i	0.556061	−	0.831142i	$-0.312312\pi$
$887$	−13.1567	−	22.7881i	−0.441759	−	0.765150i	−0.997820	+	0.0659921i	$0.978979\pi$
$888$	−25.7818	−	13.6905i	−0.865182	−	0.459423i
$889$	16.7444	−	29.0021i	0.561589	−	0.972701i
$890$	9.79699			0.328396
$891$	−35.6751	−	45.4582i	−1.19516	−	1.52291i
$892$	−8.38484			−0.280745
$893$	−12.6473	+	21.9058i	−0.423227	+	0.733051i
$894$	30.7688	+	16.3386i	1.02906	+	0.546445i
$895$	−2.95587	−	5.11972i	−0.0988039	−	0.171133i
$896$	22.7481	+	39.4009i	0.759961	+	1.31629i
$897$	10.6090	−	6.63726i	0.354225	−	0.221612i
$898$	9.46215	−	16.3889i	0.315756	−	0.546905i
$899$	30.1136			1.00435
$900$	0.610132	+	0.902443i	0.0203377	+	0.0300814i
$901$	2.79338			0.0930609
$902$	−35.0212	+	60.6585i	−1.16608	+	2.01971i
$903$	1.56107	+	44.0181i	0.0519493	+	1.46483i
$904$	15.3269	+	26.5470i	0.509766	+	0.882940i
$905$	−9.85112	−	17.0626i	−0.327462	−	0.567181i
$906$	0.339794	+	9.58129i	0.0112889	+	0.318317i
$907$	14.6966	−	25.4552i	0.487992	−	0.845227i	−0.511913	−	0.859038i	$-0.671063\pi$
$907$	14.6966	−	25.4552i	0.487992	−	0.845227i	0.999905	+	0.0138105i	$0.00439617\pi$
$908$	0.263614			0.00874832
$909$	11.5457	−	0.819956i	0.382948	−	0.0271962i
$910$	5.22391			0.173171
$911$	1.25625	−	2.17588i	0.0416213	−	0.0720901i	−0.844464	−	0.535612i	$-0.820081\pi$
$911$	1.25625	−	2.17588i	0.0416213	−	0.0720901i	0.886086	+	0.463522i	$0.153414\pi$
$912$	29.5885	−	18.5113i	0.979775	−	0.612971i
$913$	−40.6350	−	70.3818i	−1.34482	−	2.32930i
$914$	18.8203	+	32.5978i	0.622521	+	1.07824i
$915$	−20.8732	−	11.0840i	−0.690048	−	0.366424i
$916$	−1.90056	+	3.29187i	−0.0627963	+	0.108766i
$917$	−15.3920			−0.508288
$918$	−14.8520	−	6.58357i	−0.490189	−	0.217290i
$919$	54.3718			1.79356			0.896780	−	0.442478i	$-0.145900\pi$
$919$	54.3718			1.79356			0.896780	+	0.442478i	$0.145900\pi$
$920$	9.09017	−	15.7446i	0.299694	−	0.519085i
$921$	−6.28528	−	3.33757i	−0.207107	−	0.109977i
$922$	−2.28706	−	3.96131i	−0.0753203	−	0.130459i
$923$	−0.561668	−	0.972837i	−0.0184875	−	0.0320213i
$924$	11.6334	−	7.27812i	0.382710	−	0.239432i
$925$	−3.34890	+	5.80046i	−0.110111	+	0.190718i
$926$	35.8534			1.17822
$927$	−7.59070	+	15.6062i	−0.249311	+	0.512576i
$928$	5.61549			0.184338
$929$	−17.6225	+	30.5231i	−0.578176	+	1.00143i	0.417513	+	0.908671i	$0.362902\pi$
$929$	−17.6225	+	30.5231i	−0.578176	+	1.00143i	−0.995689	+	0.0927588i	$0.970431\pi$
$930$	−1.02733	−	28.9681i	−0.0336876	−	0.949900i
$931$	9.97364	+	17.2749i	0.326873	+	0.566161i
$932$	−3.38335	−	5.86013i	−0.110825	−	0.191955i
$933$	0.634117	+	17.8804i	0.0207600	+	0.585378i
$934$	10.4761	−	18.1452i	0.342789	−	0.593728i
$935$	13.0585			0.427057
$936$	−3.30184	+	6.78847i	−0.107924	+	0.221888i
$937$	14.9856			0.489559			0.244780	−	0.969579i	$-0.421284\pi$
$937$	14.9856			0.489559			0.244780	+	0.969579i	$0.421284\pi$
$938$	24.6709	−	42.7313i	0.805535	−	1.39523i
$939$	1.85338	−	1.15952i	0.0604826	−	0.0378394i
$940$	1.04708	+	1.81359i	0.0341519	+	0.0591528i
$941$	−21.4993	−	37.2379i	−0.700857	−	1.21392i	−0.968166	−	0.250309i	$-0.919468\pi$
$941$	−21.4993	−	37.2379i	−0.700857	−	1.21392i	0.267309	−	0.963611i	$-0.413866\pi$
$942$	11.7753	+	6.25282i	0.383659	+	0.203728i
$943$	−25.6362	+	44.4032i	−0.834830	+	1.44597i
$944$	4.72702			0.153851
$945$	−1.87434	−	17.5580i	−0.0609722	−	0.571161i
$946$	−73.8599			−2.40139
$947$	11.4669	−	19.8612i	0.372624	−	0.645403i	−0.617345	−	0.786693i	$-0.711792\pi$
$947$	11.4669	−	19.8612i	0.372624	−	0.645403i	0.989968	+	0.141290i	$0.0451249\pi$
$948$	0.307759	+	0.163424i	0.00999554	+	0.00530776i
$949$	2.45262	+	4.24806i	0.0796154	+	0.137898i
$950$	−3.37113	−	5.83897i	−0.109374	−	0.189441i
$951$	−40.5817	+	25.3889i	−1.31595	+	0.823292i
$952$	−8.69562	+	15.0613i	−0.281827	+	0.488138i
$953$	−2.19853			−0.0712173			−0.0356087	−	0.999366i	$-0.511337\pi$
$953$	−2.19853			−0.0712173			−0.0356087	+	0.999366i	$0.511337\pi$
$954$	6.31807	−	0.448697i	0.204555	−	0.0145271i
$955$	−7.63441			−0.247044
$956$	3.76330	−	6.51823i	0.121714	−	0.210815i
$957$	1.09026	+	30.7423i	0.0352430	+	0.993758i
$958$	31.4213	+	54.4233i	1.01518	+	1.75834i
$959$	17.6372	+	30.5486i	0.569536	+	0.986464i
$960$	0.372500	+	10.5035i	0.0120224	+	0.338999i
$961$	−43.7583	+	75.7915i	−1.41156	+	2.44489i
$962$	10.2961			0.331961
$963$	16.2694	+	24.0640i	0.524275	+	0.775452i
$964$	0.504873			0.0162609
$965$	−0.113113	+	0.195918i	−0.00364125	+	0.00630683i
$966$	55.4205	−	34.6724i	1.78313	−	1.11557i
$967$	−27.5275	−	47.6791i	−0.885226	−	1.53326i	−0.845454	−	0.534048i	$-0.820670\pi$
$967$	−27.5275	−	47.6791i	−0.885226	−	1.53326i	−0.0397716	−	0.999209i	$-0.512663\pi$
$968$	−38.0263	−	65.8635i	−1.22221	−	2.11693i
$969$	13.6458	+	7.24613i	0.438368	+	0.232779i
$970$	−11.1569	+	19.3244i	−0.358228	+	0.620469i
$971$	−41.7068			−1.33843			−0.669217	−	0.743067i	$-0.733370\pi$
$971$	−41.7068			−1.33843			−0.669217	+	0.743067i	$0.733370\pi$
$972$	−5.32425	−	1.92152i	−0.170776	−	0.0616327i
$973$	−53.7932			−1.72453
$974$	17.6170	−	30.5135i	0.564484	−	0.977715i
$975$	1.52975	+	0.812318i	0.0489913	+	0.0260150i
$976$	31.3448	+	54.2908i	1.00332	+	1.73781i
$977$	28.4232	+	49.2304i	0.909338	+	1.57502i	0.814985	+	0.579482i	$0.196745\pi$
$977$	28.4232	+	49.2304i	0.909338	+	1.57502i	0.0943530	+	0.995539i	$0.469922\pi$
$978$	−1.40245	+	0.877408i	−0.0448455	+	0.0280564i
$979$	20.4595	−	35.4370i	0.653890	−	1.13257i
$980$	1.65144			0.0527533
$981$	−15.5281	−	22.9675i	−0.495773	−	0.733294i
$982$	1.54187			0.0492031
$983$	−16.4587	+	28.5072i	−0.524950	+	0.909240i	0.474628	+	0.880187i	$0.342583\pi$
$983$	−16.4587	+	28.5072i	−0.524950	+	0.909240i	−0.999578	+	0.0290534i	$0.990751\pi$
$984$	−1.09618	−	30.9094i	−0.0349450	−	0.985357i
$985$	0.0680355	+	0.117841i	0.00216779	+	0.00375473i
$986$	4.32416	+	7.48967i	0.137709	+	0.238520i
$987$	−1.20309	−	33.9240i	−0.0382948	−	1.07981i
$988$	−0.796299	+	1.37923i	−0.0253336	+	0.0438791i
$989$	−54.0669			−1.71923
$990$	29.5357	−	2.09756i	0.938705	−	0.0666650i
$991$	3.81539			0.121200			0.0605999	−	0.998162i	$-0.480699\pi$
$991$	3.81539			0.121200			0.0605999	+	0.998162i	$0.480699\pi$
$992$	−11.0503	+	19.1397i	−0.350847	+	0.607685i
$993$	11.9097	−	7.45098i	0.377942	−	0.236450i
$994$	−2.93410	−	5.08201i	−0.0930641	−	0.161192i
$995$	−9.47772	−	16.4159i	−0.300464	−	0.520419i
$996$	−7.03101	−	3.73356i	−0.222786	−	0.118302i
$997$	18.8867	−	32.7127i	0.598148	−	1.03602i	−0.394946	−	0.918704i	$-0.629237\pi$
$997$	18.8867	−	32.7127i	0.598148	−	1.03602i	0.993094	−	0.117318i	$-0.0374298\pi$
$998$	−56.1564			−1.77760
$999$	−3.69425	−	34.6062i	−0.116881	−	1.09489i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	585.2.i.g.196.10	✓	26
3.2	odd	2		1755.2.i.g.586.4		26
9.2	odd	6		5265.2.a.bh.1.10		13
9.4	even	3	inner	585.2.i.g.391.10	yes	26
9.5	odd	6		1755.2.i.g.1171.4		26
9.7	even	3		5265.2.a.bg.1.4		13

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.i.g.196.10	✓	26	1.1	even	1	trivial
585.2.i.g.391.10	yes	26	9.4	even	3	inner
1755.2.i.g.586.4		26	3.2	odd	2
1755.2.i.g.1171.4		26	9.5	odd	6
5265.2.a.bg.1.4		13	9.7	even	3
5265.2.a.bh.1.10		13	9.2	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:	\( N \)	\(=\)	\( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	585.i (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.768621 - 1.33129i) q^{2} +(-1.52975 - 0.812318i) q^{3} +(-0.181557 - 0.314466i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.25723 + 1.41218i) q^{6} +(-1.69912 + 2.94296i) q^{7} +2.51629 q^{8} +(1.68028 + 2.48529i) q^{9} +O(q^{10})\)	\(q+(0.768621 - 1.33129i) q^{2} +(-1.52975 - 0.812318i) q^{3} +(-0.181557 - 0.314466i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.25723 + 1.41218i) q^{6} +(-1.69912 + 2.94296i) q^{7} +2.51629 q^{8} +(1.68028 + 2.48529i) q^{9} -1.53724 q^{10} +(-3.21030 + 5.56040i) q^{11} +(0.0222906 + 0.628536i) q^{12} +(0.500000 + 0.866025i) q^{13} +(2.61195 + 4.52404i) q^{14} +(0.0613875 + 1.73096i) q^{15} +(2.29719 - 3.97885i) q^{16} +2.03384 q^{17} +(4.60014 - 0.326693i) q^{18} -4.38595 q^{19} +(-0.181557 + 0.314466i) q^{20} +(4.98985 - 3.12177i) q^{21} +(4.93501 + 8.54769i) q^{22} +(3.61253 + 6.25708i) q^{23} +(-3.84930 - 2.04403i) q^{24} +(-0.500000 + 0.866025i) q^{25} +1.53724 q^{26} +(-0.551562 - 5.16680i) q^{27} +1.23395 q^{28} +(-1.38307 + 2.39554i) q^{29} +(2.35160 + 1.24873i) q^{30} +(-5.44326 - 9.42801i) q^{31} +(-1.01504 - 1.75811i) q^{32} +(9.42778 - 5.89825i) q^{33} +(1.56325 - 2.70763i) q^{34} +3.39823 q^{35} +(0.476472 - 0.979611i) q^{36} +6.69780 q^{37} +(-3.37113 + 5.83897i) q^{38} +(-0.0613875 - 1.73096i) q^{39} +(-1.25815 - 2.17917i) q^{40} +(3.54824 + 6.14573i) q^{41} +(-0.320683 - 9.04239i) q^{42} +(-3.74163 + 6.48069i) q^{43} +2.33141 q^{44} +(1.31218 - 2.69781i) q^{45} +11.1067 q^{46} +(2.88360 - 4.99455i) q^{47} +(-6.74622 + 4.22060i) q^{48} +(-2.27400 - 3.93868i) q^{49} +(0.768621 + 1.33129i) q^{50} +(-3.11127 - 1.65212i) q^{51} +(0.181557 - 0.314466i) q^{52} +1.37345 q^{53} +(-7.30245 - 3.23702i) q^{54} +6.42060 q^{55} +(-4.27547 + 7.40534i) q^{56} +(6.70941 + 3.56279i) q^{57} +(2.12611 + 3.68253i) q^{58} +(0.514436 + 0.891029i) q^{59} +(0.533183 - 0.333572i) q^{60} +(-6.82243 + 11.8168i) q^{61} -16.7352 q^{62} +(-10.1691 + 0.722189i) q^{63} +6.06802 q^{64} +(0.500000 - 0.866025i) q^{65} +(-0.605895 - 17.0846i) q^{66} +(-4.72270 - 8.17995i) q^{67} +(-0.369257 - 0.639572i) q^{68} +(-0.443528 - 12.5063i) q^{69} +(2.61195 - 4.52404i) q^{70} -1.12334 q^{71} +(4.22807 + 6.25371i) q^{72} +4.90524 q^{73} +(5.14807 - 8.91672i) q^{74} +(1.46836 - 0.918644i) q^{75} +(0.796299 + 1.37923i) q^{76} +(-10.9094 - 18.8956i) q^{77} +(-2.35160 - 1.24873i) q^{78} +(0.277024 - 0.479819i) q^{79} -4.59438 q^{80} +(-3.35333 + 8.35196i) q^{81} +10.9090 q^{82} +(-6.32884 + 10.9619i) q^{83} +(-1.88763 - 1.00236i) q^{84} +(-1.01692 - 1.76135i) q^{85} +(5.75179 + 9.96239i) q^{86} +(4.06169 - 2.54109i) q^{87} +(-8.07805 + 13.9916i) q^{88} -6.37309 q^{89} +(-2.58299 - 3.82049i) q^{90} -3.39823 q^{91} +(1.31176 - 2.27203i) q^{92} +(0.668296 + 18.8442i) q^{93} +(-4.43280 - 7.67783i) q^{94} +(2.19297 + 3.79834i) q^{95} +(0.124622 + 3.51400i) q^{96} +(7.25776 - 12.5708i) q^{97} -6.99138 q^{98} +(-19.2134 + 1.36450i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9}+O(q^{10}) \) 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9	\( 26 q + q^{2} + q^{3} - 15 q^{4} - 13 q^{5} + 7 q^{6} - 10 q^{7} - 12 q^{8} + 7 q^{9} - 2 q^{10} - 11 q^{11} - 20 q^{12} + 13 q^{13} - 15 q^{14} - 2 q^{15} - 19 q^{16} + 6 q^{17} - 13 q^{18} + 30 q^{19} - 15 q^{20} - q^{21} - 12 q^{22} - 6 q^{23} + 20 q^{24} - 13 q^{25} + 2 q^{26} - 2 q^{27} + 10 q^{28} - 14 q^{29} - 2 q^{30} - 30 q^{31} + 43 q^{32} + 6 q^{33} - 19 q^{34} + 20 q^{35} - 39 q^{36} + 32 q^{37} + 2 q^{38} + 2 q^{39} + 6 q^{40} - 17 q^{41} + 83 q^{42} - 6 q^{43} + 46 q^{44} - 5 q^{45} + 46 q^{46} + 21 q^{47} - 7 q^{48} - 29 q^{49} + q^{50} + 55 q^{51} + 15 q^{52} + 2 q^{53} - 6 q^{54} + 22 q^{55} - 37 q^{56} + 33 q^{57} - 14 q^{58} - 13 q^{59} + 25 q^{60} - 22 q^{61} - 114 q^{62} - 44 q^{63} + 84 q^{64} + 13 q^{65} - 68 q^{66} - 35 q^{67} + 4 q^{68} - 38 q^{69} - 15 q^{70} + 24 q^{71} - 24 q^{72} + 64 q^{73} + 28 q^{74} + q^{75} - 54 q^{76} - 4 q^{77} + 2 q^{78} - 12 q^{79} + 38 q^{80} + 15 q^{81} + 46 q^{82} + 3 q^{83} + 27 q^{84} - 3 q^{85} + 40 q^{86} - 12 q^{87} - 29 q^{88} + 12 q^{89} - 10 q^{90} - 20 q^{91} + 16 q^{92} - 9 q^{93} - 44 q^{94} - 15 q^{95} + 51 q^{96} - 33 q^{97} + 70 q^{98} - 22 q^{99}+O(q^{100}) \) 26 * q + q^2 + q^3 - 15 * q^4 - 13 * q^5 + 7 * q^6 - 10 * q^7 - 12 * q^8 + 7 * q^9 - 2 * q^10 - 11 * q^11 - 20 * q^12 + 13 * q^13 - 15 * q^14 - 2 * q^15 - 19 * q^16 + 6 * q^17 - 13 * q^18 + 30 * q^19 - 15 * q^20 - q^21 - 12 * q^22 - 6 * q^23 + 20 * q^24 - 13 * q^25 + 2 * q^26 - 2 * q^27 + 10 * q^28 - 14 * q^29 - 2 * q^30 - 30 * q^31 + 43 * q^32 + 6 * q^33 - 19 * q^34 + 20 * q^35 - 39 * q^36 + 32 * q^37 + 2 * q^38 + 2 * q^39 + 6 * q^40 - 17 * q^41 + 83 * q^42 - 6 * q^43 + 46 * q^44 - 5 * q^45 + 46 * q^46 + 21 * q^47 - 7 * q^48 - 29 * q^49 + q^50 + 55 * q^51 + 15 * q^52 + 2 * q^53 - 6 * q^54 + 22 * q^55 - 37 * q^56 + 33 * q^57 - 14 * q^58 - 13 * q^59 + 25 * q^60 - 22 * q^61 - 114 * q^62 - 44 * q^63 + 84 * q^64 + 13 * q^65 - 68 * q^66 - 35 * q^67 + 4 * q^68 - 38 * q^69 - 15 * q^70 + 24 * q^71 - 24 * q^72 + 64 * q^73 + 28 * q^74 + q^75 - 54 * q^76 - 4 * q^77 + 2 * q^78 - 12 * q^79 + 38 * q^80 + 15 * q^81 + 46 * q^82 + 3 * q^83 + 27 * q^84 - 3 * q^85 + 40 * q^86 - 12 * q^87 - 29 * q^88 + 12 * q^89 - 10 * q^90 - 20 * q^91 + 16 * q^92 - 9 * q^93 - 44 * q^94 - 15 * q^95 + 51 * q^96 - 33 * q^97 + 70 * q^98 - 22 * q^99

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