LMFDB - Embedded newform 273.2.cg.a.262.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			262.3
Character	$\chi$	$=$	273.262
Dual form			273.2.cg.a.124.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.339011 - 1.26521i) q^{2} -1.00000i q^{3} +(0.246231 - 0.142161i) q^{4} +(0.109857 - 0.409991i) q^{5} +(-1.26521 + 0.339011i) q^{6} +(-2.64485 - 0.0688957i) q^{7} +(-2.11573 - 2.11573i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(-0.339011 - 1.26521i) q^{2} -1.00000i q^{3} +(0.246231 - 0.142161i) q^{4} +(0.109857 - 0.409991i) q^{5} +(-1.26521 + 0.339011i) q^{6} +(-2.64485 - 0.0688957i) q^{7} +(-2.11573 - 2.11573i) q^{8} -1.00000 q^{9} -0.555967 q^{10} +(-0.991601 - 0.991601i) q^{11} +(-0.142161 - 0.246231i) q^{12} +(3.54669 - 0.648849i) q^{13} +(0.809468 + 3.36964i) q^{14} +(-0.409991 - 0.109857i) q^{15} +(-1.67526 + 2.90163i) q^{16} +(-3.47319 - 6.01574i) q^{17} +(0.339011 + 1.26521i) q^{18} +(0.391726 + 0.391726i) q^{19} +(-0.0312348 - 0.116570i) q^{20} +(-0.0688957 + 2.64485i) q^{21} +(-0.918416 + 1.59074i) q^{22} +(6.79199 + 3.92136i) q^{23} +(-2.11573 + 2.11573i) q^{24} +(4.17410 + 2.40992i) q^{25} +(-2.02329 - 4.26733i) q^{26} +1.00000i q^{27} +(-0.661039 + 0.359032i) q^{28} +(-3.01567 - 5.22330i) q^{29} +0.555967i q^{30} +(-8.09928 + 2.17020i) q^{31} +(-1.54119 - 0.412960i) q^{32} +(-0.991601 + 0.991601i) q^{33} +(-6.43371 + 6.43371i) q^{34} +(-0.318802 + 1.07680i) q^{35} +(-0.246231 + 0.142161i) q^{36} +(5.79276 - 1.55216i) q^{37} +(0.362815 - 0.628415i) q^{38} +(-0.648849 - 3.54669i) q^{39} +(-1.09986 + 0.635004i) q^{40} +(0.434817 - 1.62276i) q^{41} +(3.36964 - 0.809468i) q^{42} +(6.49491 + 3.74984i) q^{43} +(-0.385130 - 0.103195i) q^{44} +(-0.109857 + 0.409991i) q^{45} +(2.65877 - 9.92265i) q^{46} +(9.79969 + 2.62582i) q^{47} +(2.90163 + 1.67526i) q^{48} +(6.99051 + 0.364438i) q^{49} +(1.63398 - 6.09809i) q^{50} +(-6.01574 + 3.47319i) q^{51} +(0.781063 - 0.663969i) q^{52} +(3.77860 - 6.54472i) q^{53} +(1.26521 - 0.339011i) q^{54} +(-0.515482 + 0.297614i) q^{55} +(5.45003 + 5.74156i) q^{56} +(0.391726 - 0.391726i) q^{57} +(-5.58621 + 5.58621i) q^{58} +(-6.60405 - 1.76955i) q^{59} +(-0.116570 + 0.0312348i) q^{60} -2.75753i q^{61} +(5.49149 + 9.51155i) q^{62} +(2.64485 + 0.0688957i) q^{63} +8.79095i q^{64} +(0.123606 - 1.52539i) q^{65} +(1.59074 + 0.918416i) q^{66} +(10.1130 - 10.1130i) q^{67} +(-1.71041 - 0.987508i) q^{68} +(3.92136 - 6.79199i) q^{69} +(1.47045 + 0.0383037i) q^{70} +(1.00255 + 3.74157i) q^{71} +(2.11573 + 2.11573i) q^{72} +(-2.96655 - 11.0713i) q^{73} +(-3.92762 - 6.80283i) q^{74} +(2.40992 - 4.17410i) q^{75} +(0.152144 + 0.0407667i) q^{76} +(2.55432 + 2.69096i) q^{77} +(-4.26733 + 2.02329i) q^{78} +(4.32696 + 7.49452i) q^{79} +(1.00561 + 1.00561i) q^{80} +1.00000 q^{81} -2.20054 q^{82} +(2.26360 + 2.26360i) q^{83} +(0.359032 + 0.661039i) q^{84} +(-2.84796 + 0.763108i) q^{85} +(2.54247 - 9.48864i) q^{86} +(-5.22330 + 3.01567i) q^{87} +4.19592i q^{88} +(2.99879 + 11.1916i) q^{89} +0.555967 q^{90} +(-9.42518 + 1.47176i) q^{91} +2.22986 q^{92} +(2.17020 + 8.09928i) q^{93} -13.2888i q^{94} +(0.203638 - 0.117571i) q^{95} +(-0.412960 + 1.54119i) q^{96} +(-15.5709 + 4.17221i) q^{97} +(-1.90877 - 8.96799i) q^{98} +(0.991601 + 0.991601i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} - 36 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 - 36 * q^9	$ 36 q + 4 q^{7} - 36 q^{9} + 4 q^{11} + 16 q^{12} + 42 q^{14} + 12 q^{16} - 4 q^{17} - 24 q^{19} - 14 q^{20} + 4 q^{22} - 12 q^{23} - 24 q^{25} - 28 q^{26} - 12 q^{28} + 8 q^{29} - 6 q^{31} + 46 q^{32} + 4 q^{33} + 24 q^{34} - 10 q^{35} - 20 q^{37} + 8 q^{38} - 2 q^{39} - 30 q^{40} - 34 q^{41} + 24 q^{42} + 30 q^{43} - 32 q^{44} - 26 q^{46} + 4 q^{47} - 24 q^{48} - 20 q^{50} + 24 q^{51} + 98 q^{52} - 8 q^{53} + 30 q^{55} - 10 q^{56} - 24 q^{57} - 96 q^{58} - 14 q^{59} - 46 q^{60} + 48 q^{62} - 4 q^{63} + 28 q^{65} + 18 q^{66} + 62 q^{67} - 54 q^{68} - 4 q^{69} - 148 q^{70} + 42 q^{71} - 52 q^{73} - 20 q^{74} - 10 q^{75} - 12 q^{76} - 24 q^{77} - 16 q^{78} + 76 q^{80} + 36 q^{81} + 48 q^{82} + 60 q^{83} + 50 q^{84} + 2 q^{85} + 12 q^{86} + 18 q^{87} + 50 q^{89} + 40 q^{91} - 100 q^{92} - 6 q^{93} + 24 q^{95} - 4 q^{96} - 36 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 - 36 * q^9 + 4 * q^11 + 16 * q^12 + 42 * q^14 + 12 * q^16 - 4 * q^17 - 24 * q^19 - 14 * q^20 + 4 * q^22 - 12 * q^23 - 24 * q^25 - 28 * q^26 - 12 * q^28 + 8 * q^29 - 6 * q^31 + 46 * q^32 + 4 * q^33 + 24 * q^34 - 10 * q^35 - 20 * q^37 + 8 * q^38 - 2 * q^39 - 30 * q^40 - 34 * q^41 + 24 * q^42 + 30 * q^43 - 32 * q^44 - 26 * q^46 + 4 * q^47 - 24 * q^48 - 20 * q^50 + 24 * q^51 + 98 * q^52 - 8 * q^53 + 30 * q^55 - 10 * q^56 - 24 * q^57 - 96 * q^58 - 14 * q^59 - 46 * q^60 + 48 * q^62 - 4 * q^63 + 28 * q^65 + 18 * q^66 + 62 * q^67 - 54 * q^68 - 4 * q^69 - 148 * q^70 + 42 * q^71 - 52 * q^73 - 20 * q^74 - 10 * q^75 - 12 * q^76 - 24 * q^77 - 16 * q^78 + 76 * q^80 + 36 * q^81 + 48 * q^82 + 60 * q^83 + 50 * q^84 + 2 * q^85 + 12 * q^86 + 18 * q^87 + 50 * q^89 + 40 * q^91 - 100 * q^92 - 6 * q^93 + 24 * q^95 - 4 * q^96 - 36 * q^97 + 16 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.339011	−	1.26521i	−0.239717	−	0.894636i	−0.975966	−	0.217925i	$-0.930071\pi$
$2$	−0.339011	−	1.26521i	−0.239717	−	0.894636i	0.736248	−	0.676711i	$-0.236595\pi$
$3$		−	1.00000i		−	0.577350i
$3$		−	1.00000i		−	0.577350i
$4$	0.246231	−	0.142161i	0.123115	−	0.0710807i
$5$	0.109857	−	0.409991i	0.0491295	−	0.183354i	−0.937001	−	0.349328i	$-0.886410\pi$
$5$	0.109857	−	0.409991i	0.0491295	−	0.183354i	0.986130	+	0.165974i	$0.0530767\pi$
$6$	−1.26521	+	0.339011i	−0.516519	+	0.138401i
$7$	−2.64485	−	0.0688957i	−0.999661	−	0.0260401i
$7$	−2.64485	−	0.0688957i	−0.999661	−	0.0260401i
$8$	−2.11573	−	2.11573i	−0.748024	−	0.748024i
$9$	−1.00000			−0.333333
$10$	−0.555967			−0.175812
$11$	−0.991601	−	0.991601i	−0.298979	−	0.298979i	0.541635	−	0.840614i	$-0.317806\pi$
$11$	−0.991601	−	0.991601i	−0.298979	−	0.298979i	−0.840614	+	0.541635i	$0.817806\pi$
$12$	−0.142161	−	0.246231i	−0.0410385	−	0.0710807i
$13$	3.54669	−	0.648849i	0.983674	−	0.179958i
$13$	3.54669	−	0.648849i	0.983674	−	0.179958i
$14$	0.809468	+	3.36964i	0.216339	+	0.900575i
$15$	−0.409991	−	0.109857i	−0.105859	−	0.0283649i
$16$	−1.67526	+	2.90163i	−0.418814	+	0.725408i
$17$	−3.47319	−	6.01574i	−0.842373	−	1.45903i	−0.887883	−	0.460069i	$-0.847825\pi$
$17$	−3.47319	−	6.01574i	−0.842373	−	1.45903i	0.0455107	−	0.998964i	$-0.485508\pi$
$18$	0.339011	+	1.26521i	0.0799057	+	0.298212i
$19$	0.391726	+	0.391726i	0.0898682	+	0.0898682i	0.750612	−	0.660744i	$-0.229759\pi$
$19$	0.391726	+	0.391726i	0.0898682	+	0.0898682i	−0.660744	+	0.750612i	$0.729759\pi$
$20$	−0.0312348	−	0.116570i	−0.00698432	−	0.0260658i
$21$	−0.0688957	+	2.64485i	−0.0150343	+	0.577154i
$22$	−0.918416	+	1.59074i	−0.195807	+	0.339148i
$23$	6.79199	+	3.92136i	1.41623	+	0.817659i	0.995965	−	0.0897432i	$-0.0286046\pi$
$23$	6.79199	+	3.92136i	1.41623	+	0.817659i	0.420263	+	0.907403i	$0.361938\pi$
$24$	−2.11573	+	2.11573i	−0.431872	+	0.431872i
$25$	4.17410	+	2.40992i	0.834821	+	0.481984i
$26$	−2.02329	−	4.26733i	−0.396801	−	0.836892i
$27$			1.00000i			0.192450i
$28$	−0.661039	+	0.359032i	−0.124925	+	0.0678507i
$29$	−3.01567	−	5.22330i	−0.559997	−	0.969943i	−0.997496	−	0.0707238i	$-0.977469\pi$
$29$	−3.01567	−	5.22330i	−0.559997	−	0.969943i	0.437499	−	0.899219i	$-0.355864\pi$
$30$			0.555967i			0.101505i
$31$	−8.09928	+	2.17020i	−1.45467	+	0.389779i	−0.897647	−	0.440715i	$-0.854725\pi$
$31$	−8.09928	+	2.17020i	−1.45467	+	0.389779i	−0.557027	+	0.830494i	$0.688058\pi$
$32$	−1.54119	−	0.412960i	−0.272446	−	0.0730017i
$33$	−0.991601	+	0.991601i	−0.172615	+	0.172615i
$34$	−6.43371	+	6.43371i	−1.10337	+	1.10337i
$35$	−0.318802	+	1.07680i	−0.0538874	+	0.182012i
$36$	−0.246231	+	0.142161i	−0.0410385	+	0.0236936i
$37$	5.79276	−	1.55216i	0.952323	−	0.255174i	0.250975	−	0.967993i	$-0.419249\pi$
$37$	5.79276	−	1.55216i	0.952323	−	0.255174i	0.701348	+	0.712819i	$0.252582\pi$
$38$	0.362815	−	0.628415i	0.0588564	−	0.101942i
$39$	−0.648849	−	3.54669i	−0.103899	−	0.567925i
$40$	−1.09986	+	0.635004i	−0.173903	+	0.100403i
$41$	0.434817	−	1.62276i	0.0679070	−	0.253433i	−0.923625	−	0.383299i	$-0.874788\pi$
$41$	0.434817	−	1.62276i	0.0679070	−	0.253433i	0.991532	+	0.129866i	$0.0414547\pi$
$42$	3.36964	−	0.809468i	0.519947	−	0.124904i
$43$	6.49491	+	3.74984i	0.990464	+	0.571845i	0.905413	−	0.424532i	$-0.139561\pi$
$43$	6.49491	+	3.74984i	0.990464	+	0.571845i	0.0850513	+	0.996377i	$0.472895\pi$
$44$	−0.385130	−	0.103195i	−0.0580605	−	0.0155573i
$45$	−0.109857	+	0.409991i	−0.0163765	+	0.0611179i
$46$	2.65877	−	9.92265i	0.392014	−	1.46302i
$47$	9.79969	+	2.62582i	1.42943	+	0.383015i	0.888820	−	0.458257i	$-0.151526\pi$
$47$	9.79969	+	2.62582i	1.42943	+	0.383015i	0.540612	+	0.841272i	$0.318193\pi$
$48$	2.90163	+	1.67526i	0.418814	+	0.241803i
$49$	6.99051	+	0.364438i	0.998644	+	0.0520626i
$50$	1.63398	−	6.09809i	0.231080	−	0.862401i
$51$	−6.01574	+	3.47319i	−0.842373	+	0.486344i
$52$	0.781063	−	0.663969i	0.108314	−	0.0920759i
$53$	3.77860	−	6.54472i	0.519030	−	0.898986i	−0.480725	−	0.876871i	$-0.659627\pi$
$53$	3.77860	−	6.54472i	0.519030	−	0.898986i	0.999755	−	0.0221152i	$-0.00704007\pi$
$54$	1.26521	−	0.339011i	0.172173	−	0.0461336i
$55$	−0.515482	+	0.297614i	−0.0695076	+	0.0401302i
$56$	5.45003	+	5.74156i	0.728291	+	0.767249i
$57$	0.391726	−	0.391726i	0.0518854	−	0.0518854i
$58$	−5.58621	+	5.58621i	−0.733505	+	0.733505i
$59$	−6.60405	−	1.76955i	−0.859774	−	0.230376i	−0.198113	−	0.980179i	$-0.563481\pi$
$59$	−6.60405	−	1.76955i	−0.859774	−	0.230376i	−0.661661	+	0.749803i	$0.730148\pi$
$60$	−0.116570	+	0.0312348i	−0.0150491	+	0.00403240i
$61$		−	2.75753i		−	0.353065i	−0.984295	−	0.176533i	$-0.943512\pi$
$61$		−	2.75753i		−	0.353065i	0.984295	−	0.176533i	$-0.0564881\pi$
$62$	5.49149	+	9.51155i	0.697421	+	1.20797i
$63$	2.64485	+	0.0688957i	0.333220	+	0.00868004i
$64$			8.79095i			1.09887i
$65$	0.123606	−	1.52539i	0.0153314	−	0.189202i
$66$	1.59074	+	0.918416i	0.195807	+	0.113049i
$67$	10.1130	−	10.1130i	1.23550	−	1.23550i	0.273684	−	0.961820i	$-0.411758\pi$
$67$	10.1130	−	10.1130i	1.23550	−	1.23550i	0.961820	−	0.273684i	$-0.0882422\pi$
$68$	−1.71041	−	0.987508i	−0.207418	−	0.119753i
$69$	3.92136	−	6.79199i	0.472076	−	0.817659i
$70$	1.47045	+	0.0383037i	0.175752	+	0.00457817i
$71$	1.00255	+	3.74157i	0.118981	+	0.444042i	0.999554	−	0.0298681i	$-0.00950874\pi$
$71$	1.00255	+	3.74157i	0.118981	+	0.444042i	−0.880573	+	0.473910i	$0.842842\pi$
$72$	2.11573	+	2.11573i	0.249341	+	0.249341i
$73$	−2.96655	−	11.0713i	−0.347209	−	1.29580i	−0.890011	−	0.455940i	$-0.849303\pi$
$73$	−2.96655	−	11.0713i	−0.347209	−	1.29580i	0.542802	−	0.839861i	$-0.317363\pi$
$74$	−3.92762	−	6.80283i	−0.456576	−	0.790813i
$75$	2.40992	−	4.17410i	0.278274	−	0.481984i
$76$	0.152144	+	0.0407667i	0.0174521	+	0.00467627i
$77$	2.55432	+	2.69096i	0.291092	+	0.306663i
$78$	−4.26733	+	2.02329i	−0.483180	+	0.229093i
$79$	4.32696	+	7.49452i	0.486821	+	0.843199i	0.999885	−	0.0151513i	$-0.00482300\pi$
$79$	4.32696	+	7.49452i	0.486821	+	0.843199i	−0.513064	+	0.858350i	$0.671490\pi$
$80$	1.00561	+	1.00561i	0.112430	+	0.112430i
$81$	1.00000			0.111111
$82$	−2.20054			−0.243008
$83$	2.26360	+	2.26360i	0.248462	+	0.248462i	0.820339	−	0.571877i	$-0.193785\pi$
$83$	2.26360	+	2.26360i	0.248462	+	0.248462i	−0.571877	+	0.820339i	$0.693785\pi$
$84$	0.359032	+	0.661039i	0.0391736	+	0.0721253i
$85$	−2.84796	+	0.763108i	−0.308904	+	0.0827707i
$86$	2.54247	−	9.48864i	0.274162	−	1.02319i
$87$	−5.22330	+	3.01567i	−0.559997	+	0.323314i
$88$			4.19592i			0.447286i
$89$	2.99879	+	11.1916i	0.317871	+	1.18631i	0.921286	+	0.388885i	$0.127140\pi$
$89$	2.99879	+	11.1916i	0.317871	+	1.18631i	−0.603415	+	0.797427i	$0.706194\pi$
$90$	0.555967			0.0586040
$91$	−9.42518	+	1.47176i	−0.988027	+	0.154282i
$92$	2.22986			0.232479
$93$	2.17020	+	8.09928i	0.225039	+	0.839856i
$94$		−	13.2888i		−	1.37064i
$95$	0.203638	−	0.117571i	0.0208929	−	0.0120625i
$96$	−0.412960	+	1.54119i	−0.0421476	+	0.157297i
$97$	−15.5709	+	4.17221i	−1.58099	+	0.423624i	−0.939231	−	0.343286i	$-0.888460\pi$
$97$	−15.5709	+	4.17221i	−1.58099	+	0.423624i	−0.641755	+	0.766910i	$0.721793\pi$
$98$	−1.90877	−	8.96799i	−0.192815	−	0.905903i
$99$	0.991601	+	0.991601i	0.0996596	+	0.0996596i
$100$	1.37039			0.137039
$101$	7.10933			0.707405			0.353702	−	0.935358i	$-0.384923\pi$
$101$	7.10933			0.707405			0.353702	+	0.935358i	$0.384923\pi$
$102$	6.43371	+	6.43371i	0.637032	+	0.637032i
$103$	−5.13973	−	8.90227i	−0.506432	−	0.877167i	−0.999972	−	0.00744360i	$-0.997631\pi$
$103$	−5.13973	−	8.90227i	−0.506432	−	0.877167i	0.493540	−	0.869723i	$-0.335703\pi$
$104$	−8.87662	−	6.13105i	−0.870425	−	0.601198i
$105$	1.07680	+	0.318802i	0.105085	+	0.0311119i
$106$	−9.56141	−	2.56197i	−0.928686	−	0.248841i
$107$	−2.24715	+	3.89218i	−0.217240	+	0.376271i	−0.953963	−	0.299924i	$-0.903039\pi$
$107$	−2.24715	+	3.89218i	−0.217240	+	0.376271i	0.736723	+	0.676195i	$0.236372\pi$
$108$	0.142161	+	0.246231i	0.0136795	+	0.0236936i
$109$	1.17499	+	4.38513i	0.112544	+	0.420019i	0.999091	−	0.0426183i	$-0.0135699\pi$
$109$	1.17499	+	4.38513i	0.112544	+	0.420019i	−0.886548	+	0.462637i	$0.846903\pi$
$110$	0.551297	+	0.551297i	0.0525641	+	0.0525641i
$111$	−1.55216	−	5.79276i	−0.147325	−	0.549824i
$112$	4.63072	−	7.55897i	0.437562	−	0.714256i
$113$	−3.41572	+	5.91619i	−0.321324	+	0.556549i	−0.980761	−	0.195210i	$-0.937461\pi$
$113$	−3.41572	+	5.91619i	−0.321324	+	0.556549i	0.659438	+	0.751759i	$0.270794\pi$
$114$	−0.628415	−	0.362815i	−0.0588564	−	0.0339808i
$115$	2.35387	−	2.35387i	0.219499	−	0.219499i
$116$	−1.48510	−	0.857425i	−0.137888	−	0.0796099i
$117$	−3.54669	+	0.648849i	−0.327891	+	0.0599861i
$118$			8.95538i			0.824410i
$119$	8.77163	+	16.1501i	0.804094	+	1.48047i
$120$	0.635004	+	1.09986i	0.0579676	+	0.100403i
$121$		−	9.03346i		−	0.821223i
$122$	−3.48884	+	0.934832i	−0.315865	+	0.0846357i
$123$	−1.62276	−	0.434817i	−0.146319	−	0.0392062i
$124$	−1.68578	+	1.68578i	−0.151387	+	0.151387i
$125$	2.94727	−	2.94727i	0.263612	−	0.263612i
$126$	−0.809468	−	3.36964i	−0.0721131	−	0.300192i
$127$	0.727835	−	0.420216i	0.0645850	−	0.0372881i	−0.467360	−	0.884067i	$-0.654795\pi$
$127$	0.727835	−	0.420216i	0.0645850	−	0.0372881i	0.531945	+	0.846779i	$0.321461\pi$
$128$	8.03999	−	2.15431i	0.710642	−	0.190416i
$129$	3.74984	−	6.49491i	0.330155	−	0.571845i
$130$	−1.97184	+	0.360738i	−0.172942	+	0.0316388i
$131$	−15.6642	+	9.04371i	−1.36858	+	0.790152i	−0.990747	−	0.135720i	$-0.956665\pi$
$131$	−15.6642	+	9.04371i	−1.36858	+	0.790152i	−0.377837	+	0.925872i	$0.623332\pi$
$132$	−0.103195	+	0.385130i	−0.00898200	+	0.0335213i
$133$	−1.00907	−	1.06305i	−0.0874976	−	0.0921779i
$134$	−16.2235	−	9.36665i	−1.40150	−	0.809155i
$135$	0.409991	+	0.109857i	0.0352864	+	0.00945497i
$136$	−5.37936	+	20.0760i	−0.461276	+	1.72151i
$137$	−3.76136	+	14.0376i	−0.321355	+	1.19931i	0.596571	+	0.802560i	$0.296529\pi$
$137$	−3.76136	+	14.0376i	−0.321355	+	1.19931i	−0.917926	+	0.396752i	$0.870137\pi$
$138$	−9.92265	−	2.65877i	−0.844672	−	0.226329i
$139$	10.1485	+	5.85922i	0.860782	+	0.496973i	0.864274	−	0.503021i	$-0.167778\pi$
$139$	10.1485	+	5.85922i	0.860782	+	0.496973i	−0.00349232	+	0.999994i	$0.501112\pi$
$140$	0.0745804	+	0.310462i	0.00630319	+	0.0262389i
$141$	2.62582	−	9.79969i	0.221134	−	0.825283i
$142$	4.39398	−	2.53687i	0.368735	−	0.212889i
$143$	−4.16030	−	2.87350i	−0.347901	−	0.240294i
$144$	1.67526	−	2.90163i	0.139605	−	0.241803i
$145$	−2.47280	+	0.662585i	−0.205355	+	0.0550247i
$146$	−13.0018	+	7.50661i	−1.07604	+	0.621251i
$147$	0.364438	−	6.99051i	0.0300584	−	0.576567i
$148$	1.20570	−	1.20570i	0.0991077	−	0.0991077i
$149$	−4.46306	+	4.46306i	−0.365629	+	0.365629i	−0.865880	−	0.500252i	$-0.833241\pi$
$149$	−4.46306	+	4.46306i	−0.365629	+	0.365629i	0.500252	+	0.865880i	$0.333241\pi$
$150$	−6.09809	−	1.63398i	−0.497907	−	0.133414i
$151$	−5.47520	+	1.46708i	−0.445565	+	0.119389i	−0.474624	−	0.880189i	$-0.657416\pi$
$151$	−5.47520	+	1.46708i	−0.445565	+	0.119389i	0.0290583	+	0.999578i	$0.490749\pi$
$152$		−	1.65758i		−	0.134447i
$153$	3.47319	+	6.01574i	0.280791	+	0.486344i
$154$	2.53867	−	4.14401i	0.204572	−	0.333934i
$155$			3.55905i			0.285870i
$156$	−0.663969	−	0.781063i	−0.0531601	−	0.0625351i
$157$	−4.05121	−	2.33897i	−0.323322	−	0.186670i	0.329550	−	0.944138i	$-0.393103\pi$
$157$	−4.05121	−	2.33897i	−0.323322	−	0.186670i	−0.652872	+	0.757468i	$0.726436\pi$
$158$	8.01523	−	8.01523i	0.637657	−	0.637657i
$159$	−6.54472	−	3.77860i	−0.519030	−	0.299662i
$160$	−0.338620	+	0.586507i	−0.0267703	+	0.0463675i
$161$	−17.6937	−	10.8394i	−1.39446	−	0.854261i
$162$	−0.339011	−	1.26521i	−0.0266352	−	0.0994040i
$163$	−8.51303	−	8.51303i	−0.666792	−	0.666792i	0.290180	−	0.956972i	$-0.406285\pi$
$163$	−8.51303	−	8.51303i	−0.666792	−	0.666792i	−0.956972	+	0.290180i	$0.906285\pi$
$164$	−0.123629	−	0.461388i	−0.00965376	−	0.0360283i
$165$	0.297614	+	0.515482i	0.0231692	+	0.0401302i
$166$	2.09653	−	3.63130i	0.162723	−	0.281844i
$167$	−2.16916	−	0.581223i	−0.167854	−	0.0449764i	0.173913	−	0.984761i	$-0.444359\pi$
$167$	−2.16916	−	0.581223i	−0.167854	−	0.0449764i	−0.341767	+	0.939785i	$0.611025\pi$
$168$	5.74156	−	5.45003i	0.442971	−	0.420479i
$169$	12.1580	−	4.60253i	0.935230	−	0.354041i
$170$	1.93098	+	3.34455i	0.148099	+	0.256516i
$171$	−0.391726	−	0.391726i	−0.0299561	−	0.0299561i
$172$	2.13233			0.162589
$173$	11.6417			0.885104			0.442552	−	0.896743i	$-0.354073\pi$
$173$	11.6417			0.885104			0.442552	+	0.896743i	$0.354073\pi$
$174$	5.58621	+	5.58621i	0.423489	+	0.423489i
$175$	−10.8739	−	6.66146i	−0.821987	−	0.503559i
$176$	4.53844	−	1.21607i	0.342098	−	0.0916649i
$177$	−1.76955	+	6.60405i	−0.133007	+	0.496391i
$178$	13.1431	−	7.58819i	0.985119	−	0.568759i
$179$			18.9048i			1.41301i	0.707707	+	0.706506i	$0.249730\pi$
$179$			18.9048i			1.41301i	−0.707707	+	0.706506i	$0.750270\pi$
$180$	0.0312348	+	0.116570i	0.00232811	+	0.00868861i
$181$	−0.400647			−0.0297799			−0.0148899	−	0.999889i	$-0.504740\pi$
$181$	−0.400647			−0.0297799			−0.0148899	+	0.999889i	$0.504740\pi$
$182$	5.05732	+	11.4259i	0.374873	+	0.846941i
$183$	−2.75753			−0.203842
$184$	−6.07348	−	22.6665i	−0.447743	−	1.67100i
$185$		−	2.54550i		−	0.187149i
$186$	9.51155	−	5.49149i	0.697421	−	0.402656i
$187$	−2.52120	+	9.40923i	−0.184368	+	0.688071i
$188$	2.78628	−	0.746580i	0.203210	−	0.0544500i
$189$	0.0688957	−	2.64485i	0.00501143	−	0.192385i
$190$	−0.217787	−	0.217787i	−0.0157999	−	0.0157999i
$191$	−10.2522			−0.741825			−0.370912	−	0.928668i	$-0.620955\pi$
$191$	−10.2522			−0.741825			−0.370912	+	0.928668i	$0.620955\pi$
$192$	8.79095			0.634432
$193$	6.33761	+	6.33761i	0.456191	+	0.456191i	0.897403	−	0.441212i	$-0.145451\pi$
$193$	6.33761	+	6.33761i	0.456191	+	0.456191i	−0.441212	+	0.897403i	$0.645451\pi$
$194$	10.5574	+	18.2860i	0.757979	+	1.31286i
$195$	−1.52539	−	0.123606i	−0.109236	−	0.00885158i
$196$	1.77309	−	0.904045i	0.126649	−	0.0645746i
$197$	−4.04286	−	1.08328i	−0.288042	−	0.0771806i	0.111905	−	0.993719i	$-0.464305\pi$
$197$	−4.04286	−	1.08328i	−0.288042	−	0.0771806i	−0.399947	+	0.916538i	$0.630971\pi$
$198$	0.918416	−	1.59074i	0.0652690	−	0.113049i
$199$	0.0365758	+	0.0633511i	0.00259279	+	0.00449084i	0.867319	−	0.497753i	$-0.165841\pi$
$199$	0.0365758	+	0.0633511i	0.00259279	+	0.00449084i	−0.864726	+	0.502244i	$0.832508\pi$
$200$	−3.73254	−	13.9300i	−0.263930	−	0.985001i
$201$	−10.1130	−	10.1130i	−0.713318	−	0.713318i
$202$	−2.41014	−	8.99477i	−0.169577	−	0.632870i
$203$	7.61615	+	14.0226i	0.534549	+	0.984196i
$204$	−0.987508	+	1.71041i	−0.0691394	+	0.119753i
$205$	−0.617550	−	0.356543i	−0.0431316	−	0.0249020i
$206$	−9.52079	+	9.52079i	−0.663345	+	0.663345i
$207$	−6.79199	−	3.92136i	−0.472076	−	0.272553i
$208$	−4.05890	+	11.3782i	−0.281434	+	0.788934i
$209$		−	0.776872i		−	0.0537374i
$210$	0.0383037	−	1.47045i	0.00264321	−	0.101471i
$211$	10.3736	+	17.9676i	0.714148	+	1.23694i	0.963287	+	0.268472i	$0.0865188\pi$
$211$	10.3736	+	17.9676i	0.714148	+	1.23694i	−0.249140	+	0.968468i	$0.580148\pi$
$212$		−	2.14868i		−	0.147572i
$213$	3.74157	−	1.00255i	0.256368	−	0.0686936i
$214$	5.68622	+	1.52362i	0.388702	+	0.104152i
$215$	2.25091	−	2.25091i	0.153511	−	0.153511i
$216$	2.11573	−	2.11573i	0.143957	−	0.143957i
$217$	21.5709	−	5.18185i	1.46433	−	0.351767i
$218$	5.14976	−	2.97321i	0.348785	−	0.201371i
$219$	−11.0713	+	2.96655i	−0.748131	+	0.200461i
$220$	−0.0846184	+	0.146563i	−0.00570497	+	0.00988129i
$221$	−16.2216	−	19.0824i	−1.09119	−	1.28362i
$222$	−6.80283	+	3.92762i	−0.456576	+	0.263604i
$223$	0.0283672	−	0.105868i	0.00189961	−	0.00708942i	−0.964970	−	0.262362i	$-0.915499\pi$
$223$	0.0283672	−	0.105868i	0.00189961	−	0.00708942i	0.966869	+	0.255273i	$0.0821652\pi$
$224$	4.04777	+	1.19840i	0.270453	+	0.0800715i
$225$	−4.17410	−	2.40992i	−0.278274	−	0.160661i
$226$	8.64317	+	2.31593i	0.574935	+	0.154053i
$227$	−0.815721	+	3.04431i	−0.0541413	+	0.202058i	−0.987698	−	0.156370i	$-0.950021\pi$
$227$	−0.815721	+	3.04431i	−0.0541413	+	0.202058i	0.933557	+	0.358429i	$0.116687\pi$
$228$	0.0407667	−	0.152144i	0.00269984	−	0.0100760i
$229$	15.4843	+	4.14901i	1.02323	+	0.274174i	0.731148	−	0.682218i	$-0.238985\pi$
$229$	15.4843	+	4.14901i	1.02323	+	0.274174i	0.292084	+	0.956393i	$0.405651\pi$
$230$	−3.77612	−	2.18014i	−0.248990	−	0.143754i
$231$	2.69096	−	2.55432i	0.177052	−	0.168062i
$232$	−4.67074	+	17.4314i	−0.306649	+	1.14443i
$233$	21.8559	−	12.6185i	1.43183	−	0.826668i	0.434570	−	0.900638i	$-0.356900\pi$
$233$	21.8559	−	12.6185i	1.43183	−	0.826668i	0.997260	+	0.0739699i	$0.0235669\pi$
$234$	2.02329	+	4.26733i	0.132267	+	0.278964i
$235$	2.15313	−	3.72932i	0.140454	−	0.243274i
$236$	−1.87768	+	0.503123i	−0.122227	+	0.0327505i
$237$	7.49452	−	4.32696i	0.486821	−	0.281066i
$238$	17.4595	−	16.5730i	1.13173	−	1.07427i
$239$	3.59516	−	3.59516i	0.232552	−	0.232552i	−0.581205	−	0.813757i	$-0.697419\pi$
$239$	3.59516	−	3.59516i	0.232552	−	0.232552i	0.813757	+	0.581205i	$0.197419\pi$
$240$	1.00561	−	1.00561i	0.0649115	−	0.0649115i
$241$	2.94368	+	0.788756i	0.189619	+	0.0508082i	0.352379	−	0.935857i	$-0.385373\pi$
$241$	2.94368	+	0.788756i	0.189619	+	0.0508082i	−0.162760	+	0.986666i	$0.552040\pi$
$242$	−11.4292	+	3.06244i	−0.734696	+	0.196861i
$243$		−	1.00000i		−	0.0641500i
$244$	−0.392014	−	0.678988i	−0.0250961	−	0.0434678i
$245$	0.917372	−	2.82601i	0.0586087	−	0.180547i
$246$			2.20054i			0.140301i
$247$	1.64350	+	1.13516i	0.104574	+	0.0722285i
$248$	21.7274	+	12.5443i	1.37969	+	0.796567i
$249$	2.26360	−	2.26360i	0.143450	−	0.143450i
$250$	−4.72807	−	2.72975i	−0.299029	−	0.172645i
$251$	−3.62476	+	6.27826i	−0.228793	+	0.396280i	−0.957451	−	0.288597i	$-0.906811\pi$
$251$	−3.62476	+	6.27826i	−0.228793	+	0.396280i	0.728658	+	0.684878i	$0.240144\pi$
$252$	0.661039	−	0.359032i	0.0416415	−	0.0226169i
$253$	−2.84652	−	10.6234i	−0.178959	−	0.667885i
$254$	−0.778405	−	0.778405i	−0.0488414	−	0.0488414i
$255$	0.763108	+	2.84796i	0.0477877	+	0.178346i
$256$	3.33965	+	5.78445i	0.208728	+	0.361528i
$257$	−5.73347	+	9.93067i	−0.357644	+	0.619458i	−0.987567	−	0.157200i	$-0.949753\pi$
$257$	−5.73347	+	9.93067i	−0.357644	+	0.619458i	0.629922	+	0.776658i	$0.283087\pi$
$258$	−9.48864	−	2.54247i	−0.590737	−	0.158287i
$259$	−15.4279	+	3.70615i	−0.958645	+	0.230289i
$260$	−0.186416	−	0.393171i	−0.0115611	−	0.0243834i
$261$	3.01567	+	5.22330i	0.186666	+	0.323314i
$262$	16.7525	+	16.7525i	1.03497	+	1.03497i
$263$	−16.5877			−1.02284			−0.511421	−	0.859330i	$-0.670881\pi$
$263$	−16.5877			−1.02284			−0.511421	+	0.859330i	$0.670881\pi$
$264$	4.19592			0.258241
$265$	−2.26817	−	2.26817i	−0.139333	−	0.139333i
$266$	−1.00289	+	1.63707i	−0.0614911	+	0.100375i
$267$	11.1916	−	2.99879i	0.684918	−	0.183523i
$268$	1.05246	−	3.92782i	0.0642891	−	0.239930i
$269$	−8.13960	+	4.69940i	−0.496280	+	0.286527i	−0.727176	−	0.686451i	$-0.759168\pi$
$269$	−8.13960	+	4.69940i	−0.496280	+	0.286527i	0.230896	+	0.972978i	$0.425834\pi$
$270$		−	0.555967i		−	0.0338351i
$271$	−6.11175	−	22.8094i	−0.371262	−	1.38557i	−0.858730	−	0.512429i	$-0.828746\pi$
$271$	−6.11175	−	22.8094i	−0.371262	−	1.38557i	0.487467	−	0.873141i	$-0.337921\pi$
$272$	23.2740			1.41119
$273$	1.47176	+	9.42518i	0.0890749	+	0.570438i
$274$	19.0356			1.14998
$275$	−1.74937	−	6.52872i	−0.105491	−	0.393697i
$276$		−	2.22986i		−	0.134222i
$277$	6.78102	−	3.91502i	0.407432	−	0.235231i	−0.282254	−	0.959340i	$-0.591082\pi$
$277$	6.78102	−	3.91502i	0.407432	−	0.235231i	0.689686	+	0.724109i	$0.257749\pi$
$278$	3.97268	−	14.8263i	0.238266	−	0.889219i
$279$	8.09928	−	2.17020i	0.484891	−	0.129926i
$280$	2.95271	−	1.60372i	0.176458	−	0.0958404i
$281$	7.60467	+	7.60467i	0.453656	+	0.453656i	0.896566	−	0.442910i	$-0.146054\pi$
$281$	7.60467	+	7.60467i	0.453656	+	0.453656i	−0.442910	+	0.896566i	$0.646054\pi$
$282$	−13.2888			−0.791337
$283$	−13.0919			−0.778234			−0.389117	−	0.921188i	$-0.627220\pi$
$283$	−13.0919			−0.778234			−0.389117	+	0.921188i	$0.627220\pi$
$284$	0.778765	+	0.778765i	0.0462112	+	0.0462112i
$285$	−0.117571	−	0.203638i	−0.00696428	−	0.0120625i
$286$	−2.22518	+	6.23778i	−0.131578	+	0.368848i
$287$	−1.26183	+	4.26201i	−0.0744834	+	0.251578i
$288$	1.54119	+	0.412960i	0.0908154	+	0.0243339i
$289$	−15.6261	+	27.0652i	−0.919184	+	1.59207i
$290$	1.67661	+	2.90398i	0.0984542	+	0.170528i
$291$	4.17221	+	15.5709i	0.244579	+	0.912783i
$292$	−2.30437	−	2.30437i	−0.134853	−	0.134853i
$293$	−1.63802	−	6.11317i	−0.0956941	−	0.357135i	0.901430	−	0.432926i	$-0.142519\pi$
$293$	−1.63802	−	6.11317i	−0.0956941	−	0.357135i	−0.997124	+	0.0757902i	$0.975852\pi$
$294$	−8.96799	+	1.90877i	−0.523024	+	0.111322i
$295$	−1.45100	+	2.51321i	−0.0844805	+	0.146324i
$296$	−15.5399	−	8.97195i	−0.903237	−	0.521484i
$297$	0.991601	−	0.991601i	0.0575385	−	0.0575385i
$298$	7.15973	+	4.13367i	0.414752	+	0.239457i
$299$	26.6334	+	9.50085i	1.54025	+	0.549449i
$300$		−	1.37039i		−	0.0791195i
$301$	−16.9197	−	10.3652i	−0.975238	−	0.597443i
$302$	3.71231	+	6.42991i	0.213619	+	0.369999i
$303$		−	7.10933i		−	0.408420i
$304$	−1.79289	+	0.480403i	−0.102829	+	0.0275530i
$305$	−1.13056	−	0.302933i	−0.0647358	−	0.0173459i
$306$	6.43371	−	6.43371i	0.367791	−	0.367791i
$307$	0.930901	−	0.930901i	0.0531293	−	0.0531293i	−0.680043	−	0.733172i	$-0.738039\pi$
$307$	0.930901	−	0.930901i	0.0531293	−	0.0531293i	0.733172	+	0.680043i	$0.238039\pi$
$308$	1.01150	+	0.299470i	0.0576357	+	0.0170639i
$309$	−8.90227	+	5.13973i	−0.506432	+	0.292389i
$310$	4.50293	−	1.20656i	0.255749	−	0.0685278i
$311$	15.2632	−	26.4366i	0.865495	−	1.49908i	−0.00106060	−	0.999999i	$-0.500338\pi$
$311$	15.2632	−	26.4366i	0.865495	−	1.49908i	0.866555	−	0.499081i	$-0.166329\pi$
$312$	−6.13105	+	8.87662i	−0.347102	+	0.502540i
$313$	−15.9124	+	9.18705i	−0.899425	+	0.519283i	−0.877013	−	0.480466i	$-0.840468\pi$
$313$	−15.9124	+	9.18705i	−0.899425	+	0.519283i	−0.0224111	+	0.999749i	$0.507134\pi$
$314$	−1.58587	+	5.91856i	−0.0894960	+	0.334004i
$315$	0.318802	−	1.07680i	0.0179625	−	0.0606707i
$316$	2.13086	+	1.23025i	0.119870	+	0.0692072i
$317$	14.9352	+	4.00188i	0.838845	+	0.224768i	0.652569	−	0.757730i	$-0.273691\pi$
$317$	14.9352	+	4.00188i	0.838845	+	0.224768i	0.186276	+	0.982497i	$0.440358\pi$
$318$	−2.56197	+	9.56141i	−0.143668	+	0.536177i
$319$	−2.18908	+	8.16977i	−0.122565	+	0.457419i
$320$	3.60421	+	0.965746i	0.201482	+	0.0539868i
$321$	3.89218	+	2.24715i	0.217240	+	0.125424i
$322$	−7.71568	+	26.0608i	−0.429978	+	1.45231i
$323$	0.995985	−	3.71707i	0.0554181	−	0.206823i
$324$	0.246231	−	0.142161i	0.0136795	−	0.00789786i
$325$	16.3679	+	5.83887i	0.907928	+	0.323882i
$326$	−7.88473	+	13.6568i	−0.436695	+	0.756378i
$327$	4.38513	−	1.17499i	0.242498	−	0.0649771i
$328$	−4.35328	+	2.51337i	−0.240370	+	0.138777i
$329$	−25.7378	−	7.62006i	−1.41897	−	0.420108i
$330$	0.551297	−	0.551297i	0.0303479	−	0.0303479i
$331$	−18.8751	+	18.8751i	−1.03747	+	1.03747i	−0.0382000	+	0.999270i	$0.512162\pi$
$331$	−18.8751	+	18.8751i	−1.03747	+	1.03747i	−0.999270	+	0.0382000i	$0.987838\pi$
$332$	0.879164	+	0.235571i	0.0482504	+	0.0129286i
$333$	−5.79276	+	1.55216i	−0.317441	+	0.0850581i
$334$			2.94147i			0.160950i
$335$	−3.03527	−	5.25724i	−0.165835	−	0.287234i
$336$	−7.55897	−	4.63072i	−0.412376	−	0.252627i
$337$		−	25.3802i		−	1.38255i	−0.722592	−	0.691275i	$-0.757049\pi$
$337$		−	25.3802i		−	1.38255i	0.722592	−	0.691275i	$-0.242951\pi$
$338$	−9.94485	−	13.8221i	−0.540928	−	0.751821i
$339$	5.91619	+	3.41572i	0.321324	+	0.185516i
$340$	−0.592770	+	0.592770i	−0.0321475	+	0.0321475i
$341$	10.1832	+	5.87929i	0.551452	+	0.318381i
$342$	−0.362815	+	0.628415i	−0.0196188	+	0.0339808i
$343$	−18.4638	−	1.44550i	−0.996949	−	0.0780498i
$344$	−5.80783	−	21.6751i	−0.313137	−	1.16864i
$345$	−2.35387	−	2.35387i	−0.126728	−	0.126728i
$346$	−3.94668	−	14.7292i	−0.212175	−	0.791846i
$347$	1.16682	+	2.02099i	0.0626380	+	0.108492i	0.895644	−	0.444772i	$-0.146715\pi$
$347$	1.16682	+	2.02099i	0.0626380	+	0.108492i	−0.833006	+	0.553264i	$0.813382\pi$
$348$	−0.857425	+	1.48510i	−0.0459628	+	0.0796099i
$349$	28.6493	+	7.67654i	1.53356	+	0.410916i	0.924178	−	0.381962i	$-0.124751\pi$
$349$	28.6493	+	7.67654i	1.53356	+	0.410916i	0.609381	+	0.792878i	$0.291418\pi$
$350$	−4.74177	+	16.0160i	−0.253458	+	0.856091i
$351$	0.648849	+	3.54669i	0.0346330	+	0.189308i
$352$	1.11875	+	1.93773i	0.0596296	+	0.103282i
$353$	3.08874	+	3.08874i	0.164397	+	0.164397i	0.784512	−	0.620114i	$-0.212914\pi$
$353$	3.08874	+	3.08874i	0.164397	+	0.164397i	−0.620114	+	0.784512i	$0.712914\pi$
$354$	8.95538			0.475973
$355$	1.64415			0.0872623
$356$	2.32942	+	2.32942i	0.123459	+	0.123459i
$357$	16.1501	−	8.77163i	0.854752	−	0.464244i
$358$	23.9185	−	6.40895i	1.26413	−	0.338723i
$359$	5.54780	−	20.7047i	0.292802	−	1.09275i	−0.650146	−	0.759809i	$-0.725292\pi$
$359$	5.54780	−	20.7047i	0.292802	−	1.09275i	0.942948	−	0.332941i	$-0.108041\pi$
$360$	1.09986	−	0.635004i	0.0579676	−	0.0334676i
$361$		−	18.6931i		−	0.983847i
$362$	0.135824	+	0.506902i	0.00713875	+	0.0266422i
$363$	−9.03346			−0.474134
$364$	−2.11154	+	1.70229i	−0.110675	+	0.0892242i
$365$	−4.86505			−0.254648
$366$	0.934832	+	3.48884i	0.0488645	+	0.182365i
$367$			12.6043i			0.657938i	0.944341	+	0.328969i	$0.106701\pi$
$367$			12.6043i			0.657938i	−0.944341	+	0.328969i	$0.893299\pi$
$368$	−22.7567	+	13.1386i	−1.18627	+	0.684895i
$369$	−0.434817	+	1.62276i	−0.0226357	+	0.0844775i
$370$	−3.22058	+	0.862952i	−0.167430	+	0.0448627i
$371$	−10.4447	+	17.0495i	−0.542264	+	0.885166i
$372$	1.68578	+	1.68578i	0.0874034	+	0.0874034i
$373$	−15.9495			−0.825835			−0.412917	−	0.910768i	$-0.635490\pi$
$373$	−15.9495			−0.825835			−0.412917	+	0.910768i	$0.635490\pi$
$374$	12.7593			0.659770
$375$	−2.94727	−	2.94727i	−0.152197	−	0.152197i
$376$	−15.1780	−	26.2890i	−0.782744	−	1.35575i
$377$	−14.0848	−	16.5687i	−0.725403	−	0.853331i
$378$	−3.36964	+	0.809468i	−0.173316	+	0.0416345i
$379$	−33.0651	−	8.85976i	−1.69844	−	0.455095i	−0.725893	−	0.687808i	$-0.758573\pi$
$379$	−33.0651	−	8.85976i	−1.69844	−	0.455095i	−0.972545	+	0.232713i	$0.925240\pi$
$380$	0.0334280	−	0.0578990i	0.00171482	−	0.00297016i
$381$	−0.420216	−	0.727835i	−0.0215283	−	0.0372881i
$382$	3.47562	+	12.9712i	0.177828	+	0.663664i
$383$	9.22684	+	9.22684i	0.471469	+	0.471469i	0.902390	−	0.430921i	$-0.141811\pi$
$383$	9.22684	+	9.22684i	0.471469	+	0.471469i	−0.430921	+	0.902390i	$0.641811\pi$
$384$	−2.15431	−	8.03999i	−0.109937	−	0.410289i
$385$	1.38388	−	0.751630i	0.0705290	−	0.0383066i
$386$	5.86987	−	10.1669i	0.298768	−	0.517482i
$387$	−6.49491	−	3.74984i	−0.330155	−	0.190615i
$388$	−3.24091	+	3.24091i	−0.164532	+	0.164532i
$389$	14.8252	+	8.55933i	0.751667	+	0.433975i	0.826296	−	0.563236i	$-0.190444\pi$
$389$	14.8252	+	8.55933i	0.751667	+	0.433975i	−0.0746290	+	0.997211i	$0.523777\pi$
$390$	0.360738	+	1.97184i	0.0182667	+	0.0998480i
$391$		−	54.4785i		−	2.75510i
$392$	−14.0190	−	15.5611i	−0.708065	−	0.785953i
$393$	9.04371	+	15.6642i	0.456195	+	0.790152i
$394$			5.48230i			0.276194i
$395$	3.54803	−	0.950693i	0.178521	−	0.0478345i
$396$	0.385130	+	0.103195i	0.0193535	+	0.00518576i
$397$	−6.85482	+	6.85482i	−0.344034	+	0.344034i	−0.857881	−	0.513848i	$-0.828220\pi$
$397$	−6.85482	+	6.85482i	−0.344034	+	0.344034i	0.513848	+	0.857881i	$0.328220\pi$
$398$	0.0677527	−	0.0677527i	0.00339613	−	0.00339613i
$399$	−1.06305	+	1.00907i	−0.0532190	+	0.0505167i
$400$	−13.9854	+	8.07447i	−0.699270	+	0.403723i
$401$	7.43497	−	1.99219i	0.371284	−	0.0994854i	−0.0683518	−	0.997661i	$-0.521774\pi$
$401$	7.43497	−	1.99219i	0.371284	−	0.0994854i	0.439636	+	0.898176i	$0.355107\pi$
$402$	−9.36665	+	16.2235i	−0.467166	+	0.809155i
$403$	−27.3175	+	12.9522i	−1.36078	+	0.645196i
$404$	1.75054	−	1.01067i	0.0870924	−	0.0502828i
$405$	0.109857	−	0.409991i	0.00545883	−	0.0203726i
$406$	15.1596	−	14.3898i	0.752357	−	0.714156i
$407$	−7.28323	−	4.20497i	−0.361016	−	0.208433i
$408$	20.0760	+	5.37936i	0.993912	+	0.266318i
$409$	0.799116	−	2.98234i	0.0395137	−	0.147467i	−0.943351	−	0.331798i	$-0.892345\pi$
$409$	0.799116	−	2.98234i	0.0395137	−	0.147467i	0.982864	+	0.184330i	$0.0590116\pi$
$410$	−0.241744	+	0.902201i	−0.0119389	+	0.0445565i
$411$	14.0376	+	3.76136i	0.692423	+	0.185534i
$412$	−2.53112	−	1.46134i	−0.124699	−	0.0719952i
$413$	17.3448	+	5.13519i	0.853483	+	0.252686i
$414$	−2.65877	+	9.92265i	−0.130671	+	0.487672i
$415$	1.17673	−	0.679384i	0.0577633	−	0.0333496i
$416$	−5.73406	−	0.464643i	−0.281135	−	0.0227810i
$417$	5.85922	−	10.1485i	0.286927	−	0.496973i
$418$	−0.982904	+	0.263368i	−0.0480754	+	0.0128818i
$419$	2.29397	−	1.32442i	0.112068	−	0.0647023i	−0.442918	−	0.896562i	$-0.646057\pi$
$419$	2.29397	−	1.32442i	0.112068	−	0.0647023i	0.554986	+	0.831860i	$0.312724\pi$
$420$	0.310462	−	0.0745804i	0.0151490	−	0.00363915i
$421$	8.96466	−	8.96466i	0.436911	−	0.436911i	−0.454060	−	0.890971i	$-0.650025\pi$
$421$	8.96466	−	8.96466i	0.436911	−	0.436911i	0.890971	+	0.454060i	$0.150025\pi$
$422$	19.2160	−	19.2160i	0.935418	−	0.935418i
$423$	−9.79969	−	2.62582i	−0.476477	−	0.127672i
$424$	−21.8414	+	5.85237i	−1.06071	+	0.284216i
$425$		−	33.4804i		−	1.62404i
$426$	−2.53687	−	4.39398i	−0.122912	−	0.212889i
$427$	−0.189982	+	7.29326i	−0.00919386	+	0.352945i
$428$			1.27783i			0.0617663i
$429$	−2.87350	+	4.16030i	−0.138734	+	0.200861i
$430$	−3.61095	−	2.08478i	−0.174136	−	0.100537i
$431$	−8.20245	+	8.20245i	−0.395098	+	0.395098i	−0.876500	−	0.481402i	$-0.840128\pi$
$431$	−8.20245	+	8.20245i	−0.395098	+	0.395098i	0.481402	+	0.876500i	$0.340128\pi$
$432$	−2.90163	−	1.67526i	−0.139605	−	0.0806009i
$433$	1.08503	−	1.87932i	0.0521430	−	0.0903143i	−0.838776	−	0.544477i	$-0.816728\pi$
$433$	1.08503	−	1.87932i	0.0521430	−	0.0903143i	0.890919	+	0.454163i	$0.150062\pi$
$434$	−13.8689	−	25.5350i	−0.665728	−	1.22572i
$435$	0.662585	+	2.47280i	0.0317685	+	0.118562i
$436$	0.912715	+	0.912715i	0.0437111	+	0.0437111i
$437$	1.12450	+	4.19670i	0.0537923	+	0.200755i
$438$	7.50661	+	13.0018i	0.358680	+	0.621251i
$439$	10.3681	−	17.9580i	0.494840	−	0.857088i	−0.505142	−	0.863036i	$-0.668560\pi$
$439$	10.3681	−	17.9580i	0.494840	−	0.857088i	0.999982	+	0.00594789i	$0.00189328\pi$
$440$	1.72029	+	0.460950i	0.0820116	+	0.0219749i
$441$	−6.99051	−	0.364438i	−0.332881	−	0.0173542i
$442$	−18.6439	+	26.9929i	−0.886798	+	1.28392i
$443$	−9.36776	−	16.2254i	−0.445075	−	0.770893i	0.552982	−	0.833193i	$-0.313490\pi$
$443$	−9.36776	−	16.2254i	−0.445075	−	0.770893i	−0.998057	+	0.0622999i	$0.980156\pi$
$444$	−1.20570	−	1.20570i	−0.0572199	−	0.0572199i
$445$	4.91792			0.233132
$446$	−0.143561			−0.00679782
$447$	4.46306	+	4.46306i	0.211096	+	0.211096i
$448$	0.605659	−	23.2508i	0.0286147	−	1.09850i
$449$	14.2069	−	3.80673i	0.670465	−	0.179651i	0.0925007	−	0.995713i	$-0.470514\pi$
$449$	14.2069	−	3.80673i	0.670465	−	0.179651i	0.577964	+	0.816062i	$0.303847\pi$
$450$	−1.63398	+	6.09809i	−0.0770265	+	0.287467i
$451$	−2.04029	+	1.17796i	−0.0960737	+	0.0554682i
$452$			1.94233i			0.0913596i
$453$	1.46708	+	5.47520i	0.0689292	+	0.257247i
$454$	4.12822			0.193747
$455$	−0.432012	+	4.02592i	−0.0202530	+	0.188738i
$456$	−1.65758			−0.0776231
$457$	6.29166	+	23.4808i	0.294312	+	1.09839i	0.941762	+	0.336279i	$0.109168\pi$
$457$	6.29166	+	23.4808i	0.294312	+	1.09839i	−0.647451	+	0.762107i	$0.724165\pi$
$458$		−	20.9974i		−	0.981145i
$459$	6.01574	−	3.47319i	0.280791	−	0.162115i
$460$	0.244966	−	0.914225i	0.0114216	−	0.0426259i
$461$	3.71656	−	0.995848i	0.173097	−	0.0463813i	−0.171229	−	0.985231i	$-0.554774\pi$
$461$	3.71656	−	0.995848i	0.173097	−	0.0463813i	0.344327	+	0.938850i	$0.388107\pi$
$462$	−4.14401	−	2.53867i	−0.192797	−	0.118110i
$463$	−4.99628	−	4.99628i	−0.232197	−	0.232197i	0.581412	−	0.813609i	$-0.302500\pi$
$463$	−4.99628	−	4.99628i	−0.232197	−	0.232197i	−0.813609	+	0.581412i	$0.802500\pi$
$464$	20.2081			0.938138
$465$	3.55905			0.165047
$466$	−23.3745	−	23.3745i	−1.08280	−	1.08280i
$467$	−4.32120	−	7.48453i	−0.199961	−	0.346343i	0.748554	−	0.663073i	$-0.230748\pi$
$467$	−4.32120	−	7.48453i	−0.199961	−	0.346343i	−0.948516	+	0.316731i	$0.897415\pi$
$468$	−0.781063	+	0.663969i	−0.0361046	+	0.0306920i
$469$	−27.4442	+	26.0507i	−1.26726	+	1.20291i
$470$	−5.44830	−	1.45987i	−0.251311	−	0.0673387i
$471$	−2.33897	+	4.05121i	−0.107774	+	0.186670i
$472$	10.2285	+	17.7163i	0.470805	+	0.815457i
$473$	−2.72201	−	10.1587i	−0.125158	−	0.467097i
$474$	−8.01523	−	8.01523i	−0.368152	−	0.368152i
$475$	0.691077	+	2.57914i	0.0317088	+	0.118339i
$476$	4.45576	+	2.72965i	0.204229	+	0.125114i
$477$	−3.77860	+	6.54472i	−0.173010	+	0.299662i
$478$	−5.76742	−	3.32982i	−0.263796	−	0.152303i
$479$	17.9806	−	17.9806i	0.821553	−	0.821553i	−0.164778	−	0.986331i	$-0.552691\pi$
$479$	17.9806	−	17.9806i	0.821553	−	0.821553i	0.986331	+	0.164778i	$0.0526906\pi$
$480$	0.586507	+	0.338620i	0.0267703	+	0.0154558i
$481$	19.5380	−	9.26367i	0.890855	−	0.422387i
$482$		−	3.99176i		−	0.181820i
$483$	−10.8394	+	17.6937i	−0.493208	+	0.805089i
$484$	−1.28421	−	2.22432i	−0.0583732	−	0.101105i
$485$			6.84228i			0.310692i
$486$	−1.26521	+	0.339011i	−0.0573910	+	0.0153779i
$487$	17.9059	+	4.79787i	0.811393	+	0.217412i	0.640580	−	0.767891i	$-0.278694\pi$
$487$	17.9059	+	4.79787i	0.811393	+	0.217412i	0.170813	+	0.985303i	$0.445361\pi$
$488$	−5.83418	+	5.83418i	−0.264101	+	0.264101i
$489$	−8.51303	+	8.51303i	−0.384972	+	0.384972i
$490$	−3.88649	−	0.202615i	−0.175574	−	0.00915323i
$491$	−25.0489	+	14.4620i	−1.13044	+	0.652661i	−0.944046	−	0.329814i	$-0.893014\pi$
$491$	−25.0489	+	14.4620i	−1.13044	+	0.652661i	−0.186396	+	0.982475i	$0.559681\pi$
$492$	−0.461388	+	0.123629i	−0.0208010	+	0.00557360i
$493$	−20.9480	+	36.2830i	−0.943452	+	1.63411i
$494$	0.879047	−	2.46420i	0.0395502	−	0.110870i
$495$	0.515482	−	0.297614i	0.0231692	−	0.0133767i
$496$	7.27127	−	27.1368i	0.326490	−	1.21848i
$497$	−2.39382	−	9.96497i	−0.107377	−	0.446990i
$498$	−3.63130	−	2.09653i	−0.162723	−	0.0939479i
$499$	27.9464	+	7.48822i	1.25105	+	0.335219i	0.822743	−	0.568413i	$-0.192443\pi$
$499$	27.9464	+	7.48822i	1.25105	+	0.335219i	0.428310	+	0.903632i	$0.359109\pi$
$500$	0.306721	−	1.14470i	0.0137170	−	0.0511925i
$501$	−0.581223	+	2.16916i	−0.0259671	+	0.0969107i
$502$	9.17213	+	2.45767i	0.409372	+	0.109691i
$503$	−4.27955	−	2.47080i	−0.190816	−	0.110168i	0.401549	−	0.915838i	$-0.368472\pi$
$503$	−4.27955	−	2.47080i	−0.190816	−	0.110168i	−0.592364	+	0.805670i	$0.701805\pi$
$504$	−5.45003	−	5.74156i	−0.242764	−	0.255750i
$505$	0.781009	−	2.91476i	0.0347544	−	0.129705i
$506$	−12.4757	+	7.20287i	−0.554614	+	0.320207i
$507$	−4.60253	−	12.1580i	−0.204405	−	0.539955i
$508$	0.119477	−	0.206940i	0.00530094	−	0.00918149i
$509$	−0.759004	+	0.203374i	−0.0336422	+	0.00901441i	−0.275601	−	0.961272i	$-0.588877\pi$
$509$	−0.759004	+	0.203374i	−0.0336422	+	0.00901441i	0.241959	+	0.970287i	$0.422210\pi$
$510$	3.34455	−	1.93098i	0.148099	−	0.0855052i
$511$	7.08333	+	29.4864i	0.313348	+	1.30440i
$512$	17.9577	−	17.9577i	0.793626	−	0.793626i
$513$	−0.391726	+	0.391726i	−0.0172951	+	0.0172951i
$514$	14.5081	+	3.88742i	0.639923	+	0.171467i
$515$	−4.21449	+	1.12927i	−0.185713	+	0.0497615i
$516$		−	2.13233i		−	0.0938706i
$517$	−7.11361	−	12.3211i	−0.312856	−	0.541883i
$518$	9.91929	+	18.2631i	0.435829	+	0.802435i
$519$		−	11.6417i		−	0.511015i
$520$	−3.48883	+	2.96580i	−0.152995	+	0.130059i
$521$	−19.1469	−	11.0545i	−0.838840	−	0.484304i	0.0180299	−	0.999837i	$-0.494261\pi$
$521$	−19.1469	−	11.0545i	−0.838840	−	0.484304i	−0.856870	+	0.515533i	$0.827594\pi$
$522$	5.58621	−	5.58621i	0.244502	−	0.244502i
$523$	24.4522	+	14.1175i	1.06922	+	0.617316i	0.927969	−	0.372658i	$-0.121553\pi$
$523$	24.4522	+	14.1175i	1.06922	+	0.617316i	0.141253	+	0.989973i	$0.454887\pi$
$524$	−2.57133	+	4.45368i	−0.112329	+	0.194560i
$525$	−6.66146	+	10.8739i	−0.290730	+	0.474574i
$526$	5.62342	+	20.9869i	0.245193	+	0.915072i
$527$	41.1857	+	41.1857i	1.79408	+	1.79408i
$528$	−1.21607	−	4.53844i	−0.0529228	−	0.197510i
$529$	19.2541	+	33.3490i	0.837134	+	1.44996i
$530$	−2.10077	+	3.63865i	−0.0912518	+	0.158053i
$531$	6.60405	+	1.76955i	0.286591	+	0.0767919i
$532$	−0.399589	−	0.118304i	−0.0173244	−	0.00512913i
$533$	0.489235	−	6.03755i	0.0211911	−	0.261516i
$534$	−7.58819	−	13.1431i	−0.328373	−	0.568759i
$535$	1.34889	+	1.34889i	0.0583178	+	0.0583178i
$536$	−42.7929			−1.84837
$537$	18.9048			0.815803
$538$	8.70512	+	8.70512i	0.375305	+	0.375305i
$539$	−6.57041	−	7.29317i	−0.283008	−	0.314139i
$540$	0.116570	−	0.0312348i	0.00501637	−	0.00134413i
$541$	−0.320344	+	1.19554i	−0.0137727	+	0.0514003i	−0.972470	−	0.233027i	$-0.925137\pi$
$541$	−0.320344	+	1.19554i	−0.0137727	+	0.0514003i	0.958698	+	0.284428i	$0.0918035\pi$
$542$	−26.7866	+	15.4653i	−1.15058	+	0.664290i
$543$			0.400647i			0.0171934i
$544$	2.86858	+	10.7057i	0.122989	+	0.459002i
$545$	1.92694			0.0825412
$546$	11.4259	−	5.05732i	0.488981	−	0.216433i
$547$	1.83004			0.0782468			0.0391234	−	0.999234i	$-0.487543\pi$
$547$	1.83004			0.0782468			0.0391234	+	0.999234i	$0.487543\pi$
$548$	1.06944	+	3.99121i	0.0456842	+	0.170496i
$549$			2.75753i			0.117688i
$550$	−7.66713	+	4.42662i	−0.326927	+	0.188752i
$551$	0.864786	−	3.22742i	0.0368411	−	0.137493i
$552$	−22.6665	+	6.07348i	−0.964752	+	0.258505i
$553$	−10.9278	−	20.1200i	−0.464699	−	0.855590i
$554$	−7.25216	−	7.25216i	−0.308115	−	0.308115i
$555$	−2.54550			−0.108050
$556$	3.33182			0.141301
$557$	9.30100	+	9.30100i	0.394096	+	0.394096i	0.876144	−	0.482049i	$-0.160107\pi$
$557$	9.30100	+	9.30100i	0.394096	+	0.394096i	−0.482049	+	0.876144i	$0.660107\pi$
$558$	−5.49149	−	9.51155i	−0.232474	−	0.402656i
$559$	25.4685	+	9.08529i	1.07720	+	0.384267i
$560$	−2.59040	−	2.72896i	−0.109464	−	0.115320i
$561$	9.40923	+	2.52120i	0.397258	+	0.106445i
$562$	7.04341	−	12.1995i	0.297108	−	0.514607i
$563$	5.33175	+	9.23486i	0.224706	+	0.389203i	0.956231	−	0.292612i	$-0.0945244\pi$
$563$	5.33175	+	9.23486i	0.224706	+	0.389203i	−0.731525	+	0.681815i	$0.761191\pi$
$564$	−0.746580	−	2.78628i	−0.0314367	−	0.117323i
$565$	2.05035	+	2.05035i	0.0862588	+	0.0862588i
$566$	4.43831	+	16.5640i	0.186556	+	0.696237i
$567$	−2.64485	−	0.0688957i	−0.111073	−	0.00289335i
$568$	5.79502	−	10.0373i	0.243154	−	0.421154i
$569$	−28.8942	−	16.6821i	−1.21131	−	0.699349i	−0.248264	−	0.968692i	$-0.579860\pi$
$569$	−28.8942	−	16.6821i	−1.21131	−	0.699349i	−0.963044	+	0.269343i	$0.913193\pi$
$570$	−0.217787	+	0.217787i	−0.00912209	+	0.00912209i
$571$	−15.3066	−	8.83728i	−0.640562	−	0.369829i	0.144269	−	0.989539i	$-0.453917\pi$
$571$	−15.3066	−	8.83728i	−0.640562	−	0.369829i	−0.784831	+	0.619710i	$0.787250\pi$
$572$	−1.43289	−	0.116110i	−0.0599123	−	0.00485482i
$573$			10.2522i			0.428293i
$574$	5.82009	+	0.151607i	0.242926	+	0.00632797i
$575$	18.9003	+	32.7363i	0.788197	+	1.36520i
$576$		−	8.79095i		−	0.366290i
$577$	1.58119	−	0.423680i	0.0658260	−	0.0176380i	−0.225756	−	0.974184i	$-0.572485\pi$
$577$	1.58119	−	0.423680i	0.0658260	−	0.0176380i	0.291582	+	0.956546i	$0.405818\pi$
$578$	39.5406	+	10.5949i	1.64467	+	0.440688i
$579$	6.33761	−	6.33761i	0.263382	−	0.263382i
$580$	−0.514686	+	0.514686i	−0.0213712	+	0.0213712i
$581$	−5.83093	−	6.14284i	−0.241908	−	0.254848i
$582$	18.2860	−	10.5574i	0.757979	−	0.437619i
$583$	−10.2366	+	2.74289i	−0.423957	+	0.113599i
$584$	−17.1475	+	29.7004i	−0.709569	+	1.22901i
$585$	−0.123606	+	1.52539i	−0.00511046	+	0.0630672i
$586$	−7.17912	+	4.14487i	−0.296567	+	0.171223i
$587$	−0.520017	+	1.94073i	−0.0214634	+	0.0801025i	−0.975827	−	0.218545i	$-0.929869\pi$
$587$	−0.520017	+	1.94073i	−0.0214634	+	0.0801025i	0.954363	+	0.298648i	$0.0965355\pi$
$588$	−0.904045	−	1.77309i	−0.0372822	−	0.0731209i
$589$	−4.02283	−	2.32258i	−0.165758	−	0.0957003i
$590$	3.67163	+	0.983810i	0.151159	+	0.0405028i
$591$	−1.08328	+	4.04286i	−0.0445603	+	0.166301i
$592$	−5.20055	+	19.4087i	−0.213741	+	0.797693i
$593$	43.9632	+	11.7799i	1.80535	+	0.483743i	0.994793	−	0.101912i	$-0.0324959\pi$
$593$	43.9632	+	11.7799i	1.80535	+	0.483743i	0.810561	+	0.585655i	$0.199163\pi$
$594$	−1.59074	−	0.918416i	−0.0652690	−	0.0376831i
$595$	7.58501	−	1.82210i	0.310955	−	0.0746987i
$596$	−0.464468	+	1.73342i	−0.0190254	+	0.0710037i
$597$	0.0633511	−	0.0365758i	0.00259279	−	0.00149695i
$598$	2.99152	−	36.9177i	0.122332	−	1.50968i
$599$	19.7690	−	34.2408i	0.807738	−	1.39904i	−0.106689	−	0.994292i	$-0.534025\pi$
$599$	19.7690	−	34.2408i	0.807738	−	1.39904i	0.914427	−	0.404751i	$-0.132642\pi$
$600$	−13.9300	+	3.73254i	−0.568690	+	0.152380i
$601$	0.950504	−	0.548773i	0.0387718	−	0.0223849i	−0.480489	−	0.877001i	$-0.659541\pi$
$601$	0.950504	−	0.548773i	0.0387718	−	0.0223849i	0.519261	+	0.854616i	$0.326207\pi$
$602$	−7.37820	+	24.9209i	−0.300713	+	1.01570i
$603$	−10.1130	+	10.1130i	−0.411834	+	0.411834i
$604$	−1.13960	+	1.13960i	−0.0463697	+	0.0463697i
$605$	−3.70364	−	0.992387i	−0.150574	−	0.0403463i
$606$	−8.99477	+	2.41014i	−0.365388	+	0.0979053i
$607$		−	15.6138i		−	0.633746i	−0.948468	−	0.316873i	$-0.897367\pi$
$607$		−	15.6138i		−	0.633746i	0.948468	−	0.316873i	$-0.102633\pi$
$608$	−0.441957	−	0.765492i	−0.0179237	−	0.0310448i
$609$	14.0226	−	7.61615i	0.568226	−	0.308622i
$610$			1.53309i			0.0620731i
$611$	36.4602	+	2.95444i	1.47502	+	0.119524i
$612$	1.71041	+	0.987508i	0.0691394	+	0.0399176i
$613$	18.8715	−	18.8715i	0.762212	−	0.762212i	−0.214510	−	0.976722i	$-0.568815\pi$
$613$	18.8715	−	18.8715i	0.762212	−	0.762212i	0.976722	+	0.214510i	$0.0688154\pi$
$614$	−1.49337	−	0.862197i	−0.0602674	−	0.0347954i
$615$	−0.356543	+	0.617550i	−0.0143772	+	0.0249020i
$616$	0.289081	−	11.0976i	0.0116474	−	0.447135i
$617$	−2.13161	−	7.95529i	−0.0858155	−	0.320268i	0.909652	−	0.415372i	$-0.136348\pi$
$617$	−2.13161	−	7.95529i	−0.0858155	−	0.320268i	−0.995467	+	0.0951036i	$0.969682\pi$
$618$	9.52079	+	9.52079i	0.382982	+	0.382982i
$619$	5.86882	+	21.9027i	0.235888	+	0.880346i	0.977747	+	0.209789i	$0.0672779\pi$
$619$	5.86882	+	21.9027i	0.235888	+	0.880346i	−0.741859	+	0.670556i	$0.766055\pi$
$620$	0.505959	+	0.876347i	0.0203198	+	0.0351950i
$621$	−3.92136	+	6.79199i	−0.157359	+	0.272553i
$622$	−38.6221	−	10.3488i	−1.54861	−	0.414948i
$623$	−7.16031	−	29.8069i	−0.286872	−	1.19419i
$624$	11.3782	+	4.05890i	0.455491	+	0.162486i
$625$	11.1650	+	19.3384i	0.446601	+	0.773535i
$626$	17.0180	+	17.0180i	0.680177	+	0.680177i
$627$	−0.776872			−0.0310253
$628$	−1.33005			−0.0530746
$629$	−29.4568	−	29.4568i	−1.17452	−	1.17452i
$630$	−1.47045	−	0.0383037i	−0.0585842	−	0.00152606i
$631$	17.2097	−	4.61132i	0.685106	−	0.183574i	0.100556	−	0.994931i	$-0.467938\pi$
$631$	17.2097	−	4.61132i	0.685106	−	0.183574i	0.584550	+	0.811358i	$0.301271\pi$
$632$	6.70169	−	25.0111i	0.266579	−	0.994886i
$633$	17.9676	−	10.3736i	0.714148	−	0.412313i
$634$		−	20.2528i		−	0.804342i
$635$	−0.0923272	−	0.344570i	−0.00366389	−	0.0136738i
$636$	−2.14868			−0.0852008
$637$	25.0296	−	3.24323i	0.991709	−	0.128502i
$638$	11.0786			0.438605
$639$	−1.00255	−	3.74157i	−0.0396603	−	0.148014i
$640$		−	3.53299i		−	0.139654i
$641$	−19.9887	+	11.5405i	−0.789508	+	0.455822i	−0.839789	−	0.542913i	$-0.817321\pi$
$641$	−19.9887	+	11.5405i	−0.789508	+	0.455822i	0.0502815	+	0.998735i	$0.483988\pi$
$642$	1.52362	−	5.68622i	0.0601324	−	0.224417i
$643$	39.1565	−	10.4920i	1.54418	−	0.413763i	0.616569	−	0.787301i	$-0.288522\pi$
$643$	39.1565	−	10.4920i	1.54418	−	0.413763i	0.927615	+	0.373538i	$0.121856\pi$
$644$	−5.89766	−	0.153628i	−0.232400	−	0.00605379i
$645$	−2.25091	−	2.25091i	−0.0886296	−	0.0886296i
$646$	−5.04051			−0.198316
$647$	32.3219			1.27071			0.635353	−	0.772222i	$-0.280855\pi$
$647$	32.3219			1.27071			0.635353	+	0.772222i	$0.280855\pi$
$648$	−2.11573	−	2.11573i	−0.0831137	−	0.0831137i
$649$	4.79389	+	8.30326i	0.188177	+	0.325932i
$650$	1.83847	−	22.6882i	0.0721109	−	0.889906i
$651$	−5.18185	−	21.5709i	−0.203093	−	0.845432i
$652$	−3.30639	−	0.885946i	−0.129488	−	0.0346963i
$653$	−18.2866	+	31.6733i	−0.715610	+	1.23947i	0.247113	+	0.968987i	$0.420518\pi$
$653$	−18.2866	+	31.6733i	−0.715610	+	1.23947i	−0.962724	+	0.270487i	$0.912815\pi$
$654$	−2.97321	−	5.14976i	−0.116262	−	0.201371i
$655$	1.98703	+	7.41569i	0.0776396	+	0.289755i
$656$	3.98022	+	3.98022i	0.155401	+	0.155401i
$657$	2.96655	+	11.0713i	0.115736	+	0.431934i
$658$	−0.915542	+	35.1470i	−0.0356916	+	1.37017i
$659$	−21.1206	+	36.5820i	−0.822742	+	1.42503i	0.0808906	+	0.996723i	$0.474224\pi$
$659$	−21.1206	+	36.5820i	−0.822742	+	1.42503i	−0.903633	+	0.428308i	$0.859110\pi$
$660$	0.146563	+	0.0846184i	0.00570497	+	0.00329376i
$661$	4.09559	−	4.09559i	0.159300	−	0.159300i	−0.622957	−	0.782256i	$-0.714069\pi$
$661$	4.09559	−	4.09559i	0.159300	−	0.159300i	0.782256	+	0.622957i	$0.214069\pi$
$662$	30.2798	+	17.4821i	1.17686	+	0.679459i
$663$	−19.0824	+	16.2216i	−0.741099	+	0.629996i
$664$		−	9.57832i		−	0.371711i
$665$	−0.546694	+	0.296927i	−0.0211999	+	0.0115144i
$666$	3.92762	+	6.80283i	0.152192	+	0.263604i
$667$		−	47.3021i		−	1.83155i
$668$	−0.616740	+	0.165255i	−0.0238624	+	0.00639391i
$669$	−0.105868	−	0.0283672i	−0.00409308	−	0.00109674i
$670$	−5.62251	+	5.62251i	−0.217216	+	0.217216i
$671$	−2.73436	+	2.73436i	−0.105559	+	0.105559i
$672$	1.19840	−	4.04777i	0.0462293	−	0.156146i
$673$	−36.4698	+	21.0558i	−1.40581	+	0.811642i	−0.994980	−	0.100071i	$-0.968093\pi$
$673$	−36.4698	+	21.0558i	−1.40581	+	0.811642i	−0.410826	+	0.911714i	$0.634760\pi$
$674$	−32.1113	+	8.60419i	−1.23688	+	0.331421i
$675$	−2.40992	+	4.17410i	−0.0927578	+	0.160661i
$676$	2.33937	−	2.86168i	0.0899758	−	0.110065i
$677$	0.771810	−	0.445605i	0.0296631	−	0.0171260i	−0.485095	−	0.874461i	$-0.661215\pi$
$677$	0.771810	−	0.445605i	0.0296631	−	0.0171260i	0.514758	+	0.857335i	$0.327882\pi$
$678$	2.31593	−	8.64317i	0.0889428	−	0.331939i
$679$	41.4702	−	9.96212i	1.59148	−	0.382311i
$680$	7.64004	+	4.41098i	0.292982	+	0.169153i
$681$	3.04431	+	0.815721i	0.116658	+	0.0312585i
$682$	3.98629	−	14.8770i	0.152643	−	0.569671i
$683$	3.30006	−	12.3160i	0.126273	−	0.471258i	−0.873609	−	0.486629i	$-0.838226\pi$
$683$	3.30006	−	12.3160i	0.126273	−	0.471258i	0.999882	+	0.0153712i	$0.00489298\pi$
$684$	−0.152144	−	0.0407667i	−0.00581735	−	0.00155876i
$685$	5.34208	+	3.08425i	0.204110	+	0.117843i
$686$	4.43056	+	23.8505i	0.169160	+	0.910617i
$687$	4.14901	−	15.4843i	0.158295	−	0.590763i
$688$	−21.7613	+	12.5639i	−0.829641	+	0.478994i
$689$	9.15497	−	25.6638i	0.348776	−	0.977714i
$690$	−2.18014	+	3.77612i	−0.0829966	+	0.143754i
$691$	25.6335	−	6.86848i	0.975144	−	0.261289i	0.264146	−	0.964483i	$-0.414910\pi$
$691$	25.6335	−	6.86848i	0.975144	−	0.261289i	0.710998	+	0.703194i	$0.248243\pi$
$692$	2.86655	−	1.65500i	0.108970	−	0.0629138i
$693$	−2.55432	−	2.69096i	−0.0970307	−	0.102221i
$694$	2.16140	−	2.16140i	0.0820457	−	0.0820457i
$695$	3.51711	−	3.51711i	0.133412	−	0.133412i
$696$	17.4314	+	4.67074i	0.660737	+	0.177044i
$697$	−11.2723	+	3.02041i	−0.426969	+	0.114406i
$698$		−	38.8497i		−	1.47048i
$699$	−12.6185	−	21.8559i	−0.477277	−	0.826668i
$700$	−3.62448	−	0.0944140i	−0.136993	−	0.00356851i
$701$		−	0.589627i		−	0.0222699i	−0.999938	−	0.0111350i	$-0.996456\pi$
$701$		−	0.589627i		−	0.0222699i	0.999938	−	0.0111350i	$-0.00354444\pi$
$702$	4.26733	−	2.02329i	0.161060	−	0.0763643i
$703$	2.87720	+	1.66115i	0.108516	+	0.0626515i
$704$	8.71711	−	8.71711i	0.328538	−	0.328538i
$705$	−3.72932	−	2.15313i	−0.140454	−	0.0810914i
$706$	2.86078	−	4.95502i	0.107667	−	0.186485i
$707$	−18.8031	−	0.489802i	−0.707165	−	0.0184209i
$708$	0.503123	+	1.87768i	0.0189085	+	0.0705676i
$709$	2.50624	+	2.50624i	0.0941240	+	0.0941240i	0.752601	−	0.658477i	$-0.228799\pi$
$709$	2.50624	+	2.50624i	0.0941240	+	0.0941240i	−0.658477	+	0.752601i	$0.728799\pi$
$710$	−0.557384	−	2.08019i	−0.0209183	−	0.0780680i
$711$	−4.32696	−	7.49452i	−0.162274	−	0.281066i
$712$	17.3339	−	30.0231i	0.649614	−	1.12516i
$713$	−63.5203	−	17.0202i	−2.37886	−	0.637412i
$714$	−16.5730	−	17.4595i	−0.620228	−	0.653405i
$715$	−1.63515	+	1.39001i	−0.0611510	+	0.0519835i
$716$	2.68754	+	4.65495i	0.100438	+	0.173964i
$717$	−3.59516	−	3.59516i	−0.134264	−	0.134264i
$718$	−28.0765			−1.04780
$719$	7.80778			0.291181			0.145590	−	0.989345i	$-0.453492\pi$
$719$	7.80778			0.291181			0.145590	+	0.989345i	$0.453492\pi$
$720$	−1.00561	−	1.00561i	−0.0374767	−	0.0374767i
$721$	12.9805	+	23.8993i	0.483419	+	0.890057i
$722$	−23.6506	+	6.33717i	−0.880186	+	0.235845i
$723$	0.788756	−	2.94368i	0.0293341	−	0.109476i
$724$	−0.0986517	+	0.0569566i	−0.00366636	+	0.00211678i
$725$		−	29.0701i		−	1.07964i
$726$	3.06244	+	11.4292i	0.113658	+	0.424177i
$727$	7.63181			0.283048			0.141524	−	0.989935i	$-0.454800\pi$
$727$	7.63181			0.283048			0.141524	+	0.989935i	$0.454800\pi$
$728$	23.0550	+	16.8273i	0.854474	+	0.623661i
$729$	−1.00000			−0.0370370
$730$	1.64930	+	6.15529i	0.0610435	+	0.227817i
$731$		−	52.0956i		−	1.92683i
$732$	−0.678988	+	0.392014i	−0.0250961	+	0.0144893i
$733$	−3.23266	+	12.0644i	−0.119401	+	0.445610i	−0.999578	−	0.0290344i	$-0.990757\pi$
$733$	−3.23266	+	12.0644i	−0.119401	+	0.445610i	0.880178	+	0.474645i	$0.157423\pi$
$734$	15.9470	−	4.27299i	0.588615	−	0.157719i
$735$	−2.82601	−	0.917372i	−0.104239	−	0.0338378i
$736$	−8.84837	−	8.84837i	−0.326155	−	0.326155i
$737$	−20.0562			−0.738779
$738$	2.20054			0.0810028
$739$	13.2333	+	13.2333i	0.486793	+	0.486793i	0.907293	−	0.420500i	$-0.138145\pi$
$739$	13.2333	+	13.2333i	0.486793	+	0.486793i	−0.420500	+	0.907293i	$0.638145\pi$
$740$	−0.361871	−	0.626780i	−0.0133027	−	0.0230409i
$741$	1.13516	−	1.64350i	0.0417012	−	0.0603756i
$742$	25.1120	+	7.43478i	0.921892	+	0.272939i
$743$	15.7645	+	4.22409i	0.578343	+	0.154967i	0.536120	−	0.844142i	$-0.319889\pi$
$743$	15.7645	+	4.22409i	0.578343	+	0.154967i	0.0422231	+	0.999108i	$0.486556\pi$
$744$	12.5443	−	21.7274i	0.459898	−	0.796567i
$745$	1.33952	+	2.32012i	0.0490762	+	0.0850025i
$746$	5.40706	+	20.1794i	0.197967	+	0.738822i
$747$	−2.26360	−	2.26360i	−0.0828207	−	0.0828207i
$748$	0.716834	+	2.67526i	0.0262100	+	0.0978172i
$749$	6.21154	−	10.1394i	0.226965	−	0.370486i
$750$	−2.72975	+	4.72807i	−0.0996764	+	0.172645i
$751$	−1.65463	−	0.955303i	−0.0603784	−	0.0348595i	0.469507	−	0.882929i	$-0.344432\pi$
$751$	−1.65463	−	0.955303i	−0.0603784	−	0.0348595i	−0.529885	+	0.848069i	$0.677765\pi$
$752$	−24.0362	+	24.0362i	−0.876508	+	0.876508i
$753$	6.27826	+	3.62476i	0.228793	+	0.132093i
$754$	−16.1879	+	23.4371i	−0.589530	+	0.853530i
$755$			2.40595i			0.0875616i
$756$	−0.359032	−	0.661039i	−0.0130579	−	0.0240418i
$757$	−25.6580	−	44.4410i	−0.932556	−	1.61523i	−0.778935	−	0.627105i	$-0.784240\pi$
$757$	−25.6580	−	44.4410i	−0.932556	−	1.61523i	−0.153622	−	0.988130i	$-0.549094\pi$
$758$			44.8377i			1.62858i
$759$	−10.6234	+	2.84652i	−0.385603	+	0.103322i
$760$	−0.679592	−	0.182096i	−0.0246514	−	0.00660532i
$761$	−17.7121	+	17.7121i	−0.642064	+	0.642064i	−0.951063	−	0.308998i	$-0.900006\pi$
$761$	−17.7121	+	17.7121i	−0.642064	+	0.642064i	0.308998	+	0.951063i	$0.400006\pi$
$762$	−0.778405	+	0.778405i	−0.0281986	+	0.0281986i
$763$	−2.80556	−	11.6790i	−0.101568	−	0.422807i
$764$	−2.52441	+	1.45747i	−0.0913301	+	0.0527295i
$765$	2.84796	−	0.763108i	0.102968	−	0.0275902i
$766$	8.54586	−	14.8019i	0.308774	−	0.534813i
$767$	−24.5707	−	1.99101i	−0.887195	−	0.0718912i
$768$	5.78445	−	3.33965i	0.208728	−	0.120509i
$769$	−10.9969	+	41.0409i	−0.396558	+	1.47997i	0.422553	+	0.906338i	$0.361134\pi$
$769$	−10.9969	+	41.0409i	−0.396558	+	1.47997i	−0.819111	+	0.573635i	$0.805533\pi$
$770$	−1.42012	−	1.49608i	−0.0511775	−	0.0539150i
$771$	9.93067	+	5.73347i	0.357644	+	0.206486i
$772$	2.46148	+	0.659552i	0.0885906	+	0.0237378i
$773$	−6.82449	+	25.4693i	−0.245460	+	0.916069i	0.727692	+	0.685904i	$0.240593\pi$
$773$	−6.82449	+	25.4693i	−0.245460	+	0.916069i	−0.973152	+	0.230164i	$0.926074\pi$
$774$	−2.54247	+	9.48864i	−0.0913873	+	0.341062i
$775$	−39.0372	−	10.4600i	−1.40226	−	0.375734i
$776$	41.7711	+	24.1166i	1.49950	+	0.865734i
$777$	3.70615	+	15.4279i	0.132957	+	0.553474i
$778$	5.80341	−	21.6586i	0.208062	−	0.776500i
$779$	0.806008	−	0.465349i	0.0288782	−	0.0166728i
$780$	−0.393171	+	0.186416i	−0.0140778	+	0.00667478i
$781$	2.71601	−	4.70427i	0.0971865	−	0.168332i
$782$	−68.9266	+	18.4688i	−2.46481	+	0.660444i
$783$	5.22330	−	3.01567i	0.186666	−	0.107771i
$784$	−12.7684	+	19.6733i	−0.456013	+	0.702619i
$785$	−1.40401	+	1.40401i	−0.0501113	+	0.0501113i
$786$	16.7525	−	16.7525i	0.597541	−	0.597541i
$787$	−51.2210	−	13.7246i	−1.82583	−	0.489230i	−0.828352	−	0.560208i	$-0.810721\pi$
$787$	−51.2210	−	13.7246i	−1.82583	−	0.489230i	−0.997478	+	0.0709779i	$0.977388\pi$
$788$	−1.14948	+	0.308002i	−0.0409485	+	0.0109721i
$789$			16.5877i			0.590538i
$790$	−2.40565	−	4.16670i	−0.0855891	−	0.148245i
$791$	9.44167	−	15.4121i	0.335707	−	0.547993i
$792$		−	4.19592i		−	0.149095i
$793$	−1.78922	−	9.78009i	−0.0635370	−	0.347301i
$794$	10.9966	+	6.34890i	0.390256	+	0.225314i
$795$	−2.26817	+	2.26817i	−0.0804439	+	0.0804439i
$796$	0.0180122	+	0.0103993i	0.000638424	+	0.000368595i
$797$	−23.6844	+	41.0227i	−0.838946	+	1.45310i	0.0518307	+	0.998656i	$0.483494\pi$
$797$	−23.6844	+	41.0227i	−0.838946	+	1.45310i	−0.890777	+	0.454441i	$0.849839\pi$
$798$	1.63707	+	1.00289i	0.0579516	+	0.0355019i
$799$	−18.2399	−	68.0724i	−0.645283	−	2.40823i
$800$	−5.43788	−	5.43788i	−0.192258	−	0.192258i
$801$	−2.99879	−	11.1916i	−0.105957	−	0.395437i
$802$	−5.04107	−	8.73139i	−0.178006	−	0.308316i
$803$	−8.03670	+	13.9200i	−0.283609	+	0.491225i
$804$	−3.92782	−	1.05246i	−0.138524	−	0.0371173i
$805$	−6.38781	+	6.06347i	−0.225141	+	0.213709i
$806$	25.6482	+	30.1713i	0.903418	+	1.06274i
$807$	4.69940	+	8.13960i	0.165427	+	0.286527i
$808$	−15.0414	−	15.0414i	−0.529155	−	0.529155i
$809$	11.7245			0.412213			0.206107	−	0.978530i	$-0.433921\pi$
$809$	11.7245			0.412213			0.206107	+	0.978530i	$0.433921\pi$
$810$	−0.555967			−0.0195347
$811$	9.09842	+	9.09842i	0.319489	+	0.319489i	0.848571	−	0.529082i	$-0.177464\pi$
$811$	9.09842	+	9.09842i	0.319489	+	0.319489i	−0.529082	+	0.848571i	$0.677464\pi$
$812$	3.86881	+	2.37008i	0.135769	+	0.0831736i
$813$	−22.8094	+	6.11175i	−0.799959	+	0.214348i
$814$	−2.85107	+	10.6403i	−0.0999298	+	0.372943i
$815$	−4.42548	+	2.55505i	−0.155018	+	0.0894996i
$816$		−	23.2740i		−	0.814752i
$817$	1.07532	+	4.01314i	0.0376206	+	0.140402i
$818$	−4.04419			−0.141402
$819$	9.42518	−	1.47176i	0.329342	−	0.0514274i
$820$	−0.202747			−0.00708022
$821$	−12.4540	−	46.4790i	−0.434648	−	1.62213i	−0.741908	−	0.670502i	$-0.766079\pi$
$821$	−12.4540	−	46.4790i	−0.434648	−	1.62213i	0.307260	−	0.951626i	$-0.400588\pi$
$822$		−	19.0356i		−	0.663943i
$823$	−14.2382	+	8.22041i	−0.496311	+	0.286545i	−0.727189	−	0.686437i	$-0.759174\pi$
$823$	−14.2382	+	8.22041i	−0.496311	+	0.286545i	0.230878	+	0.972983i	$0.425840\pi$
$824$	−7.96052	+	29.7091i	−0.277318	+	1.03496i
$825$	−6.52872	+	1.74937i	−0.227301	+	0.0609051i
$826$	0.616987	−	23.6857i	0.0214677	−	0.824130i
$827$	17.6849	+	17.6849i	0.614966	+	0.614966i	0.944236	−	0.329270i	$-0.106803\pi$
$827$	17.6849	+	17.6849i	0.614966	+	0.614966i	−0.329270	+	0.944236i	$0.606803\pi$
$828$	−2.22986			−0.0774931
$829$	34.9101			1.21248			0.606239	−	0.795283i	$-0.292678\pi$
$829$	34.9101			1.21248			0.606239	+	0.795283i	$0.292678\pi$
$830$	−1.25848	−	1.25848i	−0.0436826	−	0.0436826i
$831$	−3.91502	−	6.78102i	−0.135811	−	0.235231i
$832$	5.70400	+	31.1788i	0.197750	+	1.08093i
$833$	−22.0870	−	43.3189i	−0.765269	−	1.50091i
$834$	−14.8263	−	3.97268i	−0.513391	−	0.137563i
$835$	−0.476593	+	0.825484i	−0.0164932	+	0.0285670i
$836$	−0.110441	−	0.191290i	−0.00381969	−	0.00661590i
$837$	−2.17020	−	8.09928i	−0.0750130	−	0.279952i
$838$	−2.45335	−	2.45335i	−0.0847496	−	0.0847496i
$839$	11.7730	+	43.9373i	0.406448	+	1.51689i	0.801369	+	0.598170i	$0.204105\pi$
$839$	11.7730	+	43.9373i	0.406448	+	1.51689i	−0.394921	+	0.918715i	$0.629228\pi$
$840$	−1.60372	−	2.95271i	−0.0553335	−	0.101878i
$841$	−3.68858	+	6.38881i	−0.127192	+	0.220304i
$842$	−14.3813	−	8.30303i	−0.495611	−	0.286141i
$843$	7.60467	−	7.60467i	0.261919	−	0.261919i
$844$	5.10860	+	2.94945i	0.175845	+	0.101524i
$845$	−0.551358	−	5.49029i	−0.0189673	−	0.188872i
$846$			13.2888i			0.456879i
$847$	−0.622366	+	23.8922i	−0.0213848	+	0.820945i
$848$	12.6602	+	21.9282i	0.434754	+	0.753017i
$849$			13.0919i			0.449314i
$850$	−42.3597	+	11.3502i	−1.45293	+	0.389310i
$851$	45.4309	+	12.1732i	1.55735	+	0.417291i
$852$	0.778765	−	0.778765i	0.0266801	−	0.0266801i
$853$	−21.3746	+	21.3746i	−0.731852	+	0.731852i	−0.970987	−	0.239134i	$-0.923136\pi$
$853$	−21.3746	+	21.3746i	−0.731852	+	0.731852i	0.239134	+	0.970987i	$0.423136\pi$
$854$	9.29188	−	2.23213i	0.317962	−	0.0763819i
$855$	−0.203638	+	0.117571i	−0.00696428	+	0.00402083i
$856$	12.9892	−	3.48043i	0.443960	−	0.118959i
$857$	−25.9528	+	44.9515i	−0.886530	+	1.53552i	−0.0425805	+	0.999093i	$0.513558\pi$
$857$	−25.9528	+	44.9515i	−0.886530	+	1.53552i	−0.843950	+	0.536422i	$0.819775\pi$
$858$	6.23778	+	2.22518i	0.212954	+	0.0759665i
$859$	−38.6675	+	22.3247i	−1.31932	+	0.761708i	−0.983619	−	0.180261i	$-0.942306\pi$
$859$	−38.6675	+	22.3247i	−1.31932	+	0.761708i	−0.335699	+	0.941969i	$0.608972\pi$
$860$	0.234251	−	0.874237i	0.00798789	−	0.0298112i
$861$	4.26201	+	1.26183i	0.145249	+	0.0430030i
$862$	13.1585	+	7.59707i	0.448181	+	0.258757i
$863$	−36.1405	−	9.68381i	−1.23024	−	0.329641i	−0.415565	−	0.909564i	$-0.636416\pi$
$863$	−36.1405	−	9.68381i	−1.23024	−	0.329641i	−0.814671	+	0.579923i	$0.803083\pi$
$864$	0.412960	−	1.54119i	0.0140492	−	0.0524323i
$865$	1.27892	−	4.77301i	0.0434847	−	0.162287i
$866$	−2.74556	−	0.735671i	−0.0932980	−	0.0249991i
$867$	27.0652	+	15.6261i	0.919184	+	0.530691i
$868$	4.57477	−	4.34249i	0.155278	−	0.147394i
$869$	3.14095	−	11.7222i	0.106549	−	0.397648i
$870$	2.90398	−	1.67661i	0.0984542	−	0.0568425i
$871$	29.3059	−	42.4296i	0.992994	−	1.43767i
$872$	6.79178	−	11.7637i	0.229999	−	0.398369i
$873$	15.5709	−	4.17221i	0.526995	−	0.141208i
$874$	4.92848	−	2.84546i	0.166708	−	0.0962490i
$875$	−7.99816	+	7.59205i	−0.270387	+	0.256658i
$876$	−2.30437	+	2.30437i	−0.0778575	+	0.0778575i
$877$	22.3960	−	22.3960i	0.756258	−	0.756258i	−0.219381	−	0.975639i	$-0.570404\pi$
$877$	22.3960	−	22.3960i	0.756258	−	0.756258i	0.975639	+	0.219381i	$0.0704037\pi$
$878$	−26.2355	−	7.02977i	−0.885404	−	0.237243i
$879$	−6.11317	+	1.63802i	−0.206192	+	0.0552490i
$880$		−	1.99432i		−	0.0672284i
$881$	19.0003	+	32.9095i	0.640138	+	1.10875i	0.985402	+	0.170245i	$0.0544560\pi$
$881$	19.0003	+	32.9095i	0.640138	+	1.10875i	−0.345264	+	0.938506i	$0.612211\pi$
$882$	1.90877	+	8.96799i	0.0642716	+	0.301968i
$883$			17.8135i			0.599473i	0.954022	+	0.299736i	$0.0968987\pi$
$883$			17.8135i			0.599473i	−0.954022	+	0.299736i	$0.903101\pi$
$884$	−6.70705	−	2.39258i	−0.225582	−	0.0804713i
$885$	2.51321	+	1.45100i	0.0844805	+	0.0487748i
$886$	−17.3528	+	17.3528i	−0.582977	+	0.582977i
$887$	−45.7859	−	26.4345i	−1.53734	−	0.887583i	−0.998993	−	0.0448584i	$-0.985716\pi$
$887$	−45.7859	−	26.4345i	−1.53734	−	0.887583i	−0.538345	−	0.842724i	$-0.680950\pi$
$888$	−8.97195	+	15.5399i	−0.301079	+	0.521484i
$889$	−1.95397	+	1.06127i	−0.0655340	+	0.0355937i
$890$	−1.66723	−	6.22218i	−0.0558856	−	0.208568i
$891$	−0.991601	−	0.991601i	−0.0332199	−	0.0332199i
$892$	−0.00806543	−	0.0301006i	−0.000270051	−	0.00100784i
$893$	2.81019	+	4.86740i	0.0940396	+	0.162881i
$894$	4.13367	−	7.15973i	0.138251	−	0.239457i
$895$	7.75081	+	2.07682i	0.259081	+	0.0694206i
$896$	−21.4130	+	5.14391i	−0.715359	+	0.171846i
$897$	9.50085	−	26.6334i	0.317224	−	0.889264i
$898$	−9.63260	−	16.6841i	−0.321444	−	0.556757i
$899$	35.7604	+	35.7604i	1.19268	+	1.19268i
$900$	−1.37039			−0.0456797
$901$	−52.4952			−1.74887
$902$	2.18205	+	2.18205i	0.0726544	+	0.0726544i
$903$	−10.3652	+	16.9197i	−0.344934	+	0.563054i
$904$	19.7438	−	5.29034i	0.656669	−	0.175954i
$905$	−0.0440139	+	0.164262i	−0.00146307	+	0.00546025i
$906$	6.42991	−	3.71231i	0.213619	−	0.123333i
$907$		−	38.5375i		−	1.27962i	−0.768535	−	0.639808i	$-0.779014\pi$
$907$		−	38.5375i		−	1.27962i	0.768535	−	0.639808i	$-0.220986\pi$
$908$	0.231928	+	0.865568i	0.00769681	+	0.0287249i
$909$	−7.10933			−0.235802
$910$	5.24008	−	0.818249i	0.173707	−	0.0271247i
$911$	−11.2153			−0.371581			−0.185790	−	0.982589i	$-0.559485\pi$
$911$	−11.2153			−0.371581			−0.185790	+	0.982589i	$0.559485\pi$
$912$	0.480403	+	1.79289i	0.0159077	+	0.0593685i
$913$		−	4.48917i		−	0.148570i
$914$	27.5751	−	15.9205i	0.912105	−	0.526604i
$915$	−0.302933	+	1.13056i	−0.0100147	+	0.0373752i
$916$	4.40255	−	1.17966i	0.145464	−	0.0389770i
$917$	42.0525	−	22.8401i	1.38870	−	0.754246i
$918$	−6.43371	−	6.43371i	−0.212344	−	0.212344i
$919$	−46.1111			−1.52106			−0.760532	−	0.649300i	$-0.775062\pi$
$919$	−46.1111			−1.52106			−0.760532	+	0.649300i	$0.775062\pi$
$920$	−9.96030			−0.328381
$921$	−0.930901	−	0.930901i	−0.0306742	−	0.0306742i
$922$	−2.51991	−	4.36461i	−0.0829888	−	0.143741i
$923$	5.98344	+	12.6197i	0.196947	+	0.415381i
$924$	0.299470	−	1.01150i	0.00985185	−	0.0332760i
$925$	27.9202	+	7.48118i	0.918009	+	0.245980i
$926$	−4.62753	+	8.01512i	−0.152070	+	0.263393i
$927$	5.13973	+	8.90227i	0.168811	+	0.292389i
$928$	2.49071	+	9.29544i	0.0817614	+	0.305138i
$929$	−0.905159	−	0.905159i	−0.0296973	−	0.0296973i	0.692102	−	0.721800i	$-0.256685\pi$
$929$	−0.905159	−	0.905159i	−0.0296973	−	0.0296973i	−0.721800	+	0.692102i	$0.756685\pi$
$930$	−1.20656	−	4.50293i	−0.0395646	−	0.147657i
$931$	2.59561	+	2.88113i	0.0850676	+	0.0944251i
$932$	3.58774	−	6.21415i	0.117520	−	0.203551i
$933$	−26.4366	−	15.2632i	−0.865495	−	0.499694i
$934$	−8.00455	+	8.00455i	−0.261917	+	0.261917i
$935$	3.58073	+	2.06734i	0.117103	+	0.0676092i
$936$	8.87662	+	6.13105i	0.290142	+	0.200399i
$937$		−	33.7512i		−	1.10261i	−0.834305	−	0.551303i	$-0.814131\pi$
$937$		−	33.7512i		−	1.10261i	0.834305	−	0.551303i	$-0.185869\pi$
$938$	42.2635	+	25.8911i	1.37995	+	0.845376i
$939$	9.18705	+	15.9124i	0.299808	+	0.519283i
$940$		−	1.22437i		−	0.0399344i
$941$	−36.5416	+	9.79130i	−1.19122	+	0.319187i	−0.799369	−	0.600840i	$-0.794833\pi$
$941$	−36.5416	+	9.79130i	−1.19122	+	0.319187i	−0.391854	+	0.920027i	$0.628166\pi$
$942$	5.91856	+	1.58587i	0.192837	+	0.0516706i
$943$	9.31669	−	9.31669i	0.303393	−	0.303393i
$944$	16.1981	−	16.1981i	0.527202	−	0.527202i
$945$	−1.07680	−	0.318802i	−0.0350283	−	0.0103706i
$946$	−11.9301	+	6.88782i	−0.387880	+	0.223942i
$947$	11.8526	−	3.17589i	0.385157	−	0.103202i	−0.0610446	−	0.998135i	$-0.519443\pi$
$947$	11.8526	−	3.17589i	0.385157	−	0.103202i	0.446201	+	0.894933i	$0.352777\pi$
$948$	1.23025	−	2.13086i	0.0399568	−	0.0692072i
$949$	−17.7051	−	37.3417i	−0.574730	−	1.21216i
$950$	3.02886	−	1.74871i	0.0982691	−	0.0567357i
$951$	4.00188	−	14.9352i	0.129770	−	0.484307i
$952$	15.6108	−	52.7276i	0.505948	−	1.70891i
$953$	−22.7640	−	13.1428i	−0.737399	−	0.425738i	0.0837238	−	0.996489i	$-0.473319\pi$
$953$	−22.7640	−	13.1428i	−0.737399	−	0.425738i	−0.821123	+	0.570751i	$0.806652\pi$
$954$	9.56141	+	2.56197i	0.309562	+	0.0829469i
$955$	−1.12628	+	4.20332i	−0.0364455	+	0.136016i
$956$	0.374146	−	1.39633i	0.0121008	−	0.0451606i
$957$	8.16977	+	2.18908i	0.264091	+	0.0707630i
$958$	−28.8448	−	16.6535i	−0.931932	−	0.538051i
$959$	10.9154	−	36.8682i	0.352476	−	1.19054i
$960$	0.965746	−	3.60421i	0.0311693	−	0.116325i
$961$	34.0418	−	19.6541i	1.09812	−	0.634002i
$962$	−18.3440	−	21.5791i	−0.591436	−	0.695738i
$963$	2.24715	−	3.89218i	0.0724134	−	0.125424i
$964$	0.836954	−	0.224261i	0.0269565	−	0.00722297i
$965$	3.29460	−	1.90214i	0.106057	−	0.0612319i
$966$	26.0608	+	7.71568i	0.838492	+	0.248248i
$967$	18.8266	−	18.8266i	0.605423	−	0.605423i	−0.336323	−	0.941747i	$-0.609184\pi$
$967$	18.8266	−	18.8266i	0.605423	−	0.605423i	0.941747	+	0.336323i	$0.109184\pi$
$968$	−19.1124	+	19.1124i	−0.614294	+	0.614294i
$969$	−3.71707	−	0.995985i	−0.119409	−	0.0319957i
$970$	8.65690	−	2.31961i	0.277956	−	0.0744782i
$971$		−	17.5065i		−	0.561811i	−0.959735	−	0.280905i	$-0.909365\pi$
$971$		−	17.5065i		−	0.561811i	0.959735	−	0.280905i	$-0.0906347\pi$
$972$	−0.142161	−	0.246231i	−0.00455983	−	0.00789786i
$973$	−26.4375	−	16.1960i	−0.847549	−	0.519219i
$974$		−	24.2812i		−	0.778019i
$975$	5.83887	−	16.3679i	0.186994	−	0.524193i
$976$	8.00132	+	4.61957i	0.256116	+	0.147869i
$977$	12.3338	−	12.3338i	0.394592	−	0.394592i	−0.481728	−	0.876321i	$-0.659991\pi$
$977$	12.3338	−	12.3338i	0.394592	−	0.394592i	0.876321	+	0.481728i	$0.159991\pi$
$978$	13.6568	+	7.88473i	0.436695	+	0.252126i
$979$	8.12404	−	14.0712i	0.259645	−	0.449719i
$980$	−0.175865	−	0.826266i	−0.00561779	−	0.0263941i
$981$	−1.17499	−	4.38513i	−0.0375146	−	0.140006i
$982$	26.7893	+	26.7893i	0.854881	+	0.854881i
$983$	−9.67960	−	36.1248i	−0.308731	−	1.15220i	−0.929685	−	0.368354i	$-0.879921\pi$
$983$	−9.67960	−	36.1248i	−0.308731	−	1.15220i	0.620954	−	0.783847i	$-0.286745\pi$
$984$	2.51337	+	4.35328i	0.0801232	+	0.138777i
$985$	−0.888273	+	1.53853i	−0.0283027	+	0.0490217i
$986$	53.0072	+	14.2032i	1.68809	+	0.452323i
$987$	−7.62006	+	25.7378i	−0.242549	+	0.819244i
$988$	0.566057	+	0.0458688i	0.0180087	+	0.00145928i
$989$	29.4089	+	50.9377i	0.935149	+	1.61972i
$990$	−0.551297	−	0.551297i	−0.0175214	−	0.0175214i
$991$	15.1342			0.480753			0.240377	−	0.970680i	$-0.422729\pi$
$991$	15.1342			0.480753			0.240377	+	0.970680i	$0.422729\pi$
$992$	13.3787			0.424775
$993$	18.8751	+	18.8751i	0.598984	+	0.598984i
$994$	−11.7962	+	6.40691i	−0.374153	+	0.203215i
$995$	0.0299915	−	0.00803620i	0.000950795	−	0.000254765i
$996$	0.235571	−	0.879164i	0.00746436	−	0.0278574i
$997$	−37.2703	+	21.5180i	−1.18036	+	0.681483i	−0.956099	−	0.293045i	$-0.905331\pi$
$997$	−37.2703	+	21.5180i	−1.18036	+	0.681483i	−0.224265	+	0.974528i	$0.571998\pi$
$998$		−	37.8966i		−	1.19960i
$999$	1.55216	+	5.79276i	0.0491083	+	0.183275i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.a.262.3	yes	36
3.2	odd	2		819.2.gh.c.262.7		36
7.5	odd	6		273.2.bt.a.145.3	✓	36
13.7	odd	12		273.2.bt.a.241.3	yes	36
21.5	even	6		819.2.et.c.145.7		36
39.20	even	12		819.2.et.c.514.7		36
91.33	even	12	inner	273.2.cg.a.124.3	yes	36
273.215	odd	12		819.2.gh.c.397.7		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.145.3	✓	36	7.5	odd	6
273.2.bt.a.241.3	yes	36	13.7	odd	12
273.2.cg.a.124.3	yes	36	91.33	even	12	inner
273.2.cg.a.262.3	yes	36	1.1	even	1	trivial
819.2.et.c.145.7		36	21.5	even	6
819.2.et.c.514.7		36	39.20	even	12
819.2.gh.c.262.7		36	3.2	odd	2
819.2.gh.c.397.7		36	273.215	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.339011 - 1.26521i) q^{2} -1.00000i q^{3} +(0.246231 - 0.142161i) q^{4} +(0.109857 - 0.409991i) q^{5} +(-1.26521 + 0.339011i) q^{6} +(-2.64485 - 0.0688957i) q^{7} +(-2.11573 - 2.11573i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(-0.339011 - 1.26521i) q^{2} -1.00000i q^{3} +(0.246231 - 0.142161i) q^{4} +(0.109857 - 0.409991i) q^{5} +(-1.26521 + 0.339011i) q^{6} +(-2.64485 - 0.0688957i) q^{7} +(-2.11573 - 2.11573i) q^{8} -1.00000 q^{9} -0.555967 q^{10} +(-0.991601 - 0.991601i) q^{11} +(-0.142161 - 0.246231i) q^{12} +(3.54669 - 0.648849i) q^{13} +(0.809468 + 3.36964i) q^{14} +(-0.409991 - 0.109857i) q^{15} +(-1.67526 + 2.90163i) q^{16} +(-3.47319 - 6.01574i) q^{17} +(0.339011 + 1.26521i) q^{18} +(0.391726 + 0.391726i) q^{19} +(-0.0312348 - 0.116570i) q^{20} +(-0.0688957 + 2.64485i) q^{21} +(-0.918416 + 1.59074i) q^{22} +(6.79199 + 3.92136i) q^{23} +(-2.11573 + 2.11573i) q^{24} +(4.17410 + 2.40992i) q^{25} +(-2.02329 - 4.26733i) q^{26} +1.00000i q^{27} +(-0.661039 + 0.359032i) q^{28} +(-3.01567 - 5.22330i) q^{29} +0.555967i q^{30} +(-8.09928 + 2.17020i) q^{31} +(-1.54119 - 0.412960i) q^{32} +(-0.991601 + 0.991601i) q^{33} +(-6.43371 + 6.43371i) q^{34} +(-0.318802 + 1.07680i) q^{35} +(-0.246231 + 0.142161i) q^{36} +(5.79276 - 1.55216i) q^{37} +(0.362815 - 0.628415i) q^{38} +(-0.648849 - 3.54669i) q^{39} +(-1.09986 + 0.635004i) q^{40} +(0.434817 - 1.62276i) q^{41} +(3.36964 - 0.809468i) q^{42} +(6.49491 + 3.74984i) q^{43} +(-0.385130 - 0.103195i) q^{44} +(-0.109857 + 0.409991i) q^{45} +(2.65877 - 9.92265i) q^{46} +(9.79969 + 2.62582i) q^{47} +(2.90163 + 1.67526i) q^{48} +(6.99051 + 0.364438i) q^{49} +(1.63398 - 6.09809i) q^{50} +(-6.01574 + 3.47319i) q^{51} +(0.781063 - 0.663969i) q^{52} +(3.77860 - 6.54472i) q^{53} +(1.26521 - 0.339011i) q^{54} +(-0.515482 + 0.297614i) q^{55} +(5.45003 + 5.74156i) q^{56} +(0.391726 - 0.391726i) q^{57} +(-5.58621 + 5.58621i) q^{58} +(-6.60405 - 1.76955i) q^{59} +(-0.116570 + 0.0312348i) q^{60} -2.75753i q^{61} +(5.49149 + 9.51155i) q^{62} +(2.64485 + 0.0688957i) q^{63} +8.79095i q^{64} +(0.123606 - 1.52539i) q^{65} +(1.59074 + 0.918416i) q^{66} +(10.1130 - 10.1130i) q^{67} +(-1.71041 - 0.987508i) q^{68} +(3.92136 - 6.79199i) q^{69} +(1.47045 + 0.0383037i) q^{70} +(1.00255 + 3.74157i) q^{71} +(2.11573 + 2.11573i) q^{72} +(-2.96655 - 11.0713i) q^{73} +(-3.92762 - 6.80283i) q^{74} +(2.40992 - 4.17410i) q^{75} +(0.152144 + 0.0407667i) q^{76} +(2.55432 + 2.69096i) q^{77} +(-4.26733 + 2.02329i) q^{78} +(4.32696 + 7.49452i) q^{79} +(1.00561 + 1.00561i) q^{80} +1.00000 q^{81} -2.20054 q^{82} +(2.26360 + 2.26360i) q^{83} +(0.359032 + 0.661039i) q^{84} +(-2.84796 + 0.763108i) q^{85} +(2.54247 - 9.48864i) q^{86} +(-5.22330 + 3.01567i) q^{87} +4.19592i q^{88} +(2.99879 + 11.1916i) q^{89} +0.555967 q^{90} +(-9.42518 + 1.47176i) q^{91} +2.22986 q^{92} +(2.17020 + 8.09928i) q^{93} -13.2888i q^{94} +(0.203638 - 0.117571i) q^{95} +(-0.412960 + 1.54119i) q^{96} +(-15.5709 + 4.17221i) q^{97} +(-1.90877 - 8.96799i) q^{98} +(0.991601 + 0.991601i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} - 36 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 - 36 * q^9	\( 36 q + 4 q^{7} - 36 q^{9} + 4 q^{11} + 16 q^{12} + 42 q^{14} + 12 q^{16} - 4 q^{17} - 24 q^{19} - 14 q^{20} + 4 q^{22} - 12 q^{23} - 24 q^{25} - 28 q^{26} - 12 q^{28} + 8 q^{29} - 6 q^{31} + 46 q^{32} + 4 q^{33} + 24 q^{34} - 10 q^{35} - 20 q^{37} + 8 q^{38} - 2 q^{39} - 30 q^{40} - 34 q^{41} + 24 q^{42} + 30 q^{43} - 32 q^{44} - 26 q^{46} + 4 q^{47} - 24 q^{48} - 20 q^{50} + 24 q^{51} + 98 q^{52} - 8 q^{53} + 30 q^{55} - 10 q^{56} - 24 q^{57} - 96 q^{58} - 14 q^{59} - 46 q^{60} + 48 q^{62} - 4 q^{63} + 28 q^{65} + 18 q^{66} + 62 q^{67} - 54 q^{68} - 4 q^{69} - 148 q^{70} + 42 q^{71} - 52 q^{73} - 20 q^{74} - 10 q^{75} - 12 q^{76} - 24 q^{77} - 16 q^{78} + 76 q^{80} + 36 q^{81} + 48 q^{82} + 60 q^{83} + 50 q^{84} + 2 q^{85} + 12 q^{86} + 18 q^{87} + 50 q^{89} + 40 q^{91} - 100 q^{92} - 6 q^{93} + 24 q^{95} - 4 q^{96} - 36 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 - 36 * q^9 + 4 * q^11 + 16 * q^12 + 42 * q^14 + 12 * q^16 - 4 * q^17 - 24 * q^19 - 14 * q^20 + 4 * q^22 - 12 * q^23 - 24 * q^25 - 28 * q^26 - 12 * q^28 + 8 * q^29 - 6 * q^31 + 46 * q^32 + 4 * q^33 + 24 * q^34 - 10 * q^35 - 20 * q^37 + 8 * q^38 - 2 * q^39 - 30 * q^40 - 34 * q^41 + 24 * q^42 + 30 * q^43 - 32 * q^44 - 26 * q^46 + 4 * q^47 - 24 * q^48 - 20 * q^50 + 24 * q^51 + 98 * q^52 - 8 * q^53 + 30 * q^55 - 10 * q^56 - 24 * q^57 - 96 * q^58 - 14 * q^59 - 46 * q^60 + 48 * q^62 - 4 * q^63 + 28 * q^65 + 18 * q^66 + 62 * q^67 - 54 * q^68 - 4 * q^69 - 148 * q^70 + 42 * q^71 - 52 * q^73 - 20 * q^74 - 10 * q^75 - 12 * q^76 - 24 * q^77 - 16 * q^78 + 76 * q^80 + 36 * q^81 + 48 * q^82 + 60 * q^83 + 50 * q^84 + 2 * q^85 + 12 * q^86 + 18 * q^87 + 50 * q^89 + 40 * q^91 - 100 * q^92 - 6 * q^93 + 24 * q^95 - 4 * q^96 - 36 * q^97 + 16 * q^98 - 4 * q^99

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