LMFDB - Embedded newform 273.2.bt.a.145.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(136,273)]

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, 2, 5]))

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

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

chi := DirichletCharacter("273.136");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bt (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			145.3
Character	$\chi$	$=$	273.145
Dual form			273.2.bt.a.241.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.926196 + 0.926196i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.284323i q^{4} +(0.409991 - 0.109857i) q^{5} +(1.26521 - 0.339011i) q^{6} +(-2.25606 + 1.38209i) q^{7} +(-2.11573 - 2.11573i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.926196 + 0.926196i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.284323i q^{4} +(0.409991 - 0.109857i) q^{5} +(1.26521 - 0.339011i) q^{6} +(-2.25606 + 1.38209i) q^{7} +(-2.11573 - 2.11573i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.277983 + 0.481481i) q^{10} +(1.35455 - 0.362951i) 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} +3.35051 q^{16} -6.94638 q^{17} +(-1.26521 - 0.339011i) q^{18} +(-0.143382 + 0.535108i) q^{19} +(0.0312348 + 0.116570i) q^{20} +(2.64485 - 0.0688957i) q^{21} +(-0.918416 + 1.59074i) q^{22} -7.84271i q^{23} +(0.774411 + 2.89014i) q^{24} +(-4.17410 + 2.40992i) q^{25} +(2.68397 - 3.88589i) q^{26} -1.00000i q^{27} +(-0.392961 - 0.641450i) q^{28} +(-3.01567 - 5.22330i) q^{29} +(0.481481 - 0.277983i) q^{30} +(-2.17020 + 8.09928i) q^{31} +(1.12823 - 1.12823i) q^{32} +(-1.35455 - 0.362951i) q^{33} +(6.43371 - 6.43371i) q^{34} +(-0.773134 + 0.814490i) q^{35} +(-0.246231 + 0.142161i) q^{36} +(-4.24059 - 4.24059i) q^{37} +(-0.362815 - 0.628415i) q^{38} +(3.39595 + 1.21142i) q^{39} +(-1.09986 - 0.635004i) q^{40} +(-0.434817 + 1.62276i) q^{41} +(-2.38584 + 2.51346i) q^{42} +(6.49491 + 3.74984i) q^{43} +(0.103195 + 0.385130i) q^{44} +(0.300135 + 0.300135i) q^{45} +(7.26389 + 7.26389i) q^{46} +(2.62582 + 9.79969i) q^{47} +(-2.90163 - 1.67526i) q^{48} +(3.17964 - 6.23618i) q^{49} +(1.63398 - 6.09809i) q^{50} +(6.01574 + 3.47319i) q^{51} +(-0.184483 - 1.00840i) q^{52} +(3.77860 + 6.54472i) q^{53} +(0.926196 + 0.926196i) q^{54} +(0.515482 - 0.297614i) q^{55} +(7.69736 + 1.84909i) q^{56} +(0.391726 - 0.391726i) q^{57} +(7.63090 + 2.04469i) q^{58} +(-4.83450 + 4.83450i) q^{59} +(0.0312348 - 0.116570i) q^{60} +(2.38809 - 1.37876i) q^{61} +(-5.49149 - 9.51155i) q^{62} +(-2.32496 - 1.26276i) q^{63} +8.79095i q^{64} +(-1.38283 + 0.655650i) q^{65} +(1.59074 - 0.918416i) q^{66} +(3.70163 + 13.8147i) q^{67} -1.97502i q^{68} +(-3.92136 + 6.79199i) q^{69} +(-0.0383037 - 1.47045i) q^{70} +(1.00255 + 3.74157i) q^{71} +(0.774411 - 2.89014i) q^{72} +(-11.0713 - 2.96655i) q^{73} +7.85524 q^{74} +4.81984 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} +(1.37368 - 0.368077i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.10027 - 1.90572i) q^{82} +(-2.26360 - 2.26360i) q^{83} +(0.0195886 + 0.751993i) q^{84} +(-2.84796 + 0.763108i) q^{85} +(-9.48864 + 2.54247i) q^{86} +6.03135i q^{87} +(-3.63377 - 2.09796i) q^{88} +(-8.19285 + 8.19285i) q^{89} -0.555967 q^{90} +(7.10478 - 6.36569i) q^{91} +2.22986 q^{92} +(5.92909 - 5.92909i) q^{93} +(-11.5085 - 6.64441i) q^{94} +0.235141i q^{95} +(-1.54119 + 0.412960i) q^{96} +(15.5709 - 4.17221i) q^{97} +(2.83095 + 8.72089i) q^{98} +(0.991601 + 0.991601i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 6 * q^7 + 18 * q^9	$ 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) $ 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.926196	+	0.926196i	−0.654919	+	0.654919i	−0.954173	−	0.299254i	$-0.903262\pi$
$2$	−0.926196	+	0.926196i	−0.654919	+	0.654919i	0.299254	+	0.954173i	$0.403262\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$			0.284323i			0.142161i
$5$	0.409991	−	0.109857i	0.183354	−	0.0491295i	−0.165974	−	0.986130i	$-0.553077\pi$
$5$	0.409991	−	0.109857i	0.183354	−	0.0491295i	0.349328	+	0.937001i	$0.386410\pi$
$6$	1.26521	−	0.339011i	0.516519	−	0.138401i
$7$	−2.25606	+	1.38209i	−0.852712	+	0.522382i
$7$	−2.25606	+	1.38209i	−0.852712	+	0.522382i
$8$	−2.11573	−	2.11573i	−0.748024	−	0.748024i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.277983	+	0.481481i	−0.0879060	+	0.152258i
$11$	1.35455	−	0.362951i	0.408413	−	0.109434i	−0.0487628	−	0.998810i	$-0.515528\pi$
$11$	1.35455	−	0.362951i	0.408413	−	0.109434i	0.457175	+	0.889377i	$0.348861\pi$
$12$	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
$16$	3.35051			0.837629
$17$	−6.94638			−1.68475			−0.842373	−	0.538895i	$-0.818842\pi$
$17$	−6.94638			−1.68475			−0.842373	+	0.538895i	$0.818842\pi$
$18$	−1.26521	−	0.339011i	−0.298212	−	0.0799057i
$19$	−0.143382	+	0.535108i	−0.0328941	+	0.122762i	−0.980421	−	0.196915i	$-0.936908\pi$
$19$	−0.143382	+	0.535108i	−0.0328941	+	0.122762i	0.947527	+	0.319677i	$0.103574\pi$
$20$	0.0312348	+	0.116570i	0.00698432	+	0.0260658i
$21$	2.64485	−	0.0688957i	0.577154	−	0.0150343i
$22$	−0.918416	+	1.59074i	−0.195807	+	0.339148i
$23$		−	7.84271i		−	1.63532i	−0.575702	−	0.817659i	$-0.695271\pi$
$23$		−	7.84271i		−	1.63532i	0.575702	−	0.817659i	$-0.304729\pi$
$24$	0.774411	+	2.89014i	0.158076	+	0.589948i
$25$	−4.17410	+	2.40992i	−0.834821	+	0.481984i
$26$	2.68397	−	3.88589i	0.526369	−	0.762085i
$27$		−	1.00000i		−	0.192450i
$28$	−0.392961	−	0.641450i	−0.0742626	−	0.121223i
$29$	−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	$-0.355864\pi$
$30$	0.481481	−	0.277983i	0.0879060	−	0.0507526i
$31$	−2.17020	+	8.09928i	−0.389779	+	1.45467i	0.440715	+	0.897647i	$0.354725\pi$
$31$	−2.17020	+	8.09928i	−0.389779	+	1.45467i	−0.830494	+	0.557027i	$0.811942\pi$
$32$	1.12823	−	1.12823i	0.199444	−	0.199444i
$33$	−1.35455	−	0.362951i	−0.235797	−	0.0631817i
$34$	6.43371	−	6.43371i	1.10337	−	1.10337i
$35$	−0.773134	+	0.814490i	−0.130684	+	0.137674i
$36$	−0.246231	+	0.142161i	−0.0410385	+	0.0236936i
$37$	−4.24059	−	4.24059i	−0.697149	−	0.697149i	0.266646	−	0.963795i	$-0.414085\pi$
$37$	−4.24059	−	4.24059i	−0.697149	−	0.697149i	−0.963795	+	0.266646i	$0.914085\pi$
$38$	−0.362815	−	0.628415i	−0.0588564	−	0.101942i
$39$	3.39595	+	1.21142i	0.543787	+	0.193983i
$40$	−1.09986	−	0.635004i	−0.173903	−	0.100403i
$41$	−0.434817	+	1.62276i	−0.0679070	+	0.253433i	−0.991532	−	0.129866i	$-0.958545\pi$
$41$	−0.434817	+	1.62276i	−0.0679070	+	0.253433i	0.923625	+	0.383299i	$0.125212\pi$
$42$	−2.38584	+	2.51346i	−0.368143	+	0.387836i
$43$	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	$0.472895\pi$
$44$	0.103195	+	0.385130i	0.0155573	+	0.0580605i
$45$	0.300135	+	0.300135i	0.0447414	+	0.0447414i
$46$	7.26389	+	7.26389i	1.07100	+	1.07100i
$47$	2.62582	+	9.79969i	0.383015	+	1.42943i	0.841272	+	0.540612i	$0.181807\pi$
$47$	2.62582	+	9.79969i	0.383015	+	1.42943i	−0.458257	+	0.888820i	$0.651526\pi$
$48$	−2.90163	−	1.67526i	−0.418814	−	0.241803i
$49$	3.17964	−	6.23618i	0.454234	−	0.890882i
$50$	1.63398	−	6.09809i	0.231080	−	0.862401i
$51$	6.01574	+	3.47319i	0.842373	+	0.486344i
$52$	−0.184483	−	1.00840i	−0.0255831	−	0.139841i
$53$	3.77860	+	6.54472i	0.519030	+	0.898986i	0.999755	+	0.0221152i	$0.00704007\pi$
$53$	3.77860	+	6.54472i	0.519030	+	0.898986i	−0.480725	+	0.876871i	$0.659627\pi$
$54$	0.926196	+	0.926196i	0.126039	+	0.126039i
$55$	0.515482	−	0.297614i	0.0695076	−	0.0401302i
$56$	7.69736	+	1.84909i	1.02860	+	0.247094i
$57$	0.391726	−	0.391726i	0.0518854	−	0.0518854i
$58$	7.63090	+	2.04469i	1.00199	+	0.268482i
$59$	−4.83450	+	4.83450i	−0.629398	+	0.629398i	−0.947917	−	0.318519i	$-0.896815\pi$
$59$	−4.83450	+	4.83450i	−0.629398	+	0.629398i	0.318519	+	0.947917i	$0.396815\pi$
$60$	0.0312348	−	0.116570i	0.00403240	−	0.0150491i
$61$	2.38809	−	1.37876i	0.305763	−	0.176533i	−0.339266	−	0.940691i	$-0.610179\pi$
$61$	2.38809	−	1.37876i	0.305763	−	0.176533i	0.645029	+	0.764158i	$0.276845\pi$
$62$	−5.49149	−	9.51155i	−0.697421	−	1.20797i
$63$	−2.32496	−	1.26276i	−0.292917	−	0.159093i
$64$			8.79095i			1.09887i
$65$	−1.38283	+	0.655650i	−0.171519	+	0.0813234i
$66$	1.59074	−	0.918416i	0.195807	−	0.113049i
$67$	3.70163	+	13.8147i	0.452226	+	1.68773i	0.696118	+	0.717927i	$0.254909\pi$
$67$	3.70163	+	13.8147i	0.452226	+	1.68773i	−0.243893	+	0.969802i	$0.578424\pi$
$68$		−	1.97502i		−	0.239506i
$69$	−3.92136	+	6.79199i	−0.472076	+	0.817659i
$70$	−0.0383037	−	1.47045i	−0.00457817	−	0.175752i
$71$	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	$0.842842\pi$
$72$	0.774411	−	2.89014i	0.0912652	−	0.340606i
$73$	−11.0713	−	2.96655i	−1.29580	−	0.347209i	−0.455940	−	0.890011i	$-0.650697\pi$
$73$	−11.0713	−	2.96655i	−1.29580	−	0.347209i	−0.839861	+	0.542802i	$0.817363\pi$
$74$	7.85524			0.913153
$75$	4.81984			0.556547
$76$	−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	−0.513064	−	0.858350i	$-0.671490\pi$
$79$	4.32696	−	7.49452i	0.486821	−	0.843199i	0.999885	+	0.0151513i	$0.00482300\pi$
$80$	1.37368	−	0.368077i	0.153582	−	0.0411523i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−1.10027	−	1.90572i	−0.121504	−	0.210452i
$83$	−2.26360	−	2.26360i	−0.248462	−	0.248462i	0.571877	−	0.820339i	$-0.306215\pi$
$83$	−2.26360	−	2.26360i	−0.248462	−	0.248462i	−0.820339	+	0.571877i	$0.806215\pi$
$84$	0.0195886	+	0.751993i	0.00213729	+	0.0820491i
$85$	−2.84796	+	0.763108i	−0.308904	+	0.0827707i
$86$	−9.48864	+	2.54247i	−1.02319	+	0.274162i
$87$			6.03135i			0.646628i
$88$	−3.63377	−	2.09796i	−0.387361	−	0.223643i
$89$	−8.19285	+	8.19285i	−0.868441	+	0.868441i	−0.992300	−	0.123859i	$-0.960473\pi$
$89$	−8.19285	+	8.19285i	−0.868441	+	0.868441i	0.123859	+	0.992300i	$0.460473\pi$
$90$	−0.555967			−0.0586040
$91$	7.10478	−	6.36569i	0.744784	−	0.667306i
$92$	2.22986			0.232479
$93$	5.92909	−	5.92909i	0.614818	−	0.614818i
$94$	−11.5085	−	6.64441i	−1.18701	−	0.685318i
$95$			0.235141i			0.0241250i
$96$	−1.54119	+	0.412960i	−0.157297	+	0.0421476i
$97$	15.5709	−	4.17221i	1.58099	−	0.423624i	0.641755	−	0.766910i	$-0.278207\pi$
$97$	15.5709	−	4.17221i	1.58099	−	0.423624i	0.939231	+	0.343286i	$0.111540\pi$
$98$	2.83095	+	8.72089i	0.285969	+	0.880943i
$99$	0.991601	+	0.991601i	0.0996596	+	0.0996596i
$100$	−0.685195	−	1.18679i	−0.0685195	−	0.118679i
$101$	3.55466	−	6.15686i	0.353702	−	0.612630i	−0.633193	−	0.773994i	$-0.718256\pi$
$101$	3.55466	−	6.15686i	0.353702	−	0.612630i	0.986895	+	0.161364i	$0.0515892\pi$
$102$	−8.78861	+	2.35490i	−0.870202	+	0.233170i
$103$	5.13973	−	8.90227i	0.506432	−	0.877167i	−0.493540	−	0.869723i	$-0.664297\pi$
$103$	5.13973	−	8.90227i	0.506432	−	0.877167i	0.999972	−	0.00744360i	$-0.00236939\pi$
$104$	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
$107$	4.49430			0.434480			0.217240	−	0.976118i	$-0.430295\pi$
$107$	4.49430			0.434480			0.217240	+	0.976118i	$0.430295\pi$
$108$	0.284323			0.0273590
$109$	−4.38513	−	1.17499i	−0.420019	−	0.112544i	0.0426183	−	0.999091i	$-0.486430\pi$
$109$	−4.38513	−	1.17499i	−0.420019	−	0.112544i	−0.462637	+	0.886548i	$0.653097\pi$
$110$	−0.201789	+	0.753085i	−0.0192398	+	0.0718039i
$111$	1.55216	+	5.79276i	0.147325	+	0.549824i
$112$	−7.55897	+	4.63072i	−0.714256	+	0.437562i
$113$	−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	$0.270794\pi$
$114$			0.725631i			0.0679616i
$115$	−0.861576	−	3.21544i	−0.0803424	−	0.299842i
$116$	1.48510	−	0.857425i	0.137888	−	0.0796099i
$117$	−2.33526	−	2.74710i	−0.215895	−	0.253969i
$118$		−	8.95538i		−	0.824410i
$119$	15.6715	−	9.60054i	1.43660	−	0.880080i
$120$	0.635004	+	1.09986i	0.0579676	+	0.100403i
$121$	−7.82320	+	4.51673i	−0.711200	+	0.410612i
$122$	−0.934832	+	3.48884i	−0.0846357	+	0.315865i
$123$	1.18794	−	1.18794i	0.107113	−	0.107113i
$124$	−2.30281	−	0.617036i	−0.206799	−	0.0554115i
$125$	−2.94727	+	2.94727i	−0.263612	+	0.263612i
$126$	3.32293	−	0.983802i	0.296030	−	0.0876441i
$127$	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	$0.321461\pi$
$128$	−5.88568	−	5.88568i	−0.520226	−	0.520226i
$129$	−3.74984	−	6.49491i	−0.330155	−	0.571845i
$130$	0.673512	−	1.88803i	0.0590709	−	0.165591i
$131$	−15.6642	−	9.04371i	−1.36858	−	0.790152i	−0.377837	−	0.925872i	$-0.623332\pi$
$131$	−15.6642	−	9.04371i	−1.36858	−	0.790152i	−0.990747	+	0.135720i	$0.956665\pi$
$132$	0.103195	−	0.385130i	0.00898200	−	0.0335213i
$133$	−0.416091	−	1.40541i	−0.0360796	−	0.121864i
$134$	−16.2235	−	9.36665i	−1.40150	−	0.809155i
$135$	−0.109857	−	0.409991i	−0.00945497	−	0.0352864i
$136$	14.6967	+	14.6967i	1.26023	+	1.26023i
$137$	−10.2762	−	10.2762i	−0.877957	−	0.877957i	0.115366	−	0.993323i	$-0.463196\pi$
$137$	−10.2762	−	10.2762i	−0.877957	−	0.877957i	−0.993323	+	0.115366i	$0.963196\pi$
$138$	−2.65877	−	9.92265i	−0.226329	−	0.844672i
$139$	−10.1485	−	5.85922i	−0.860782	−	0.496973i	0.00349232	−	0.999994i	$-0.498888\pi$
$139$	−10.1485	−	5.85922i	−0.860782	−	0.496973i	−0.864274	+	0.503021i	$0.832222\pi$
$140$	−0.231578	−	0.219820i	−0.0195719	−	0.0185782i
$141$	2.62582	−	9.79969i	0.221134	−	0.825283i
$142$	−4.39398	−	2.53687i	−0.368735	−	0.212889i
$143$	−4.56867	+	2.16617i	−0.382051	+	0.181144i
$144$	1.67526	+	2.90163i	0.139605	+	0.241803i
$145$	−1.81022	−	1.81022i	−0.150330	−	0.150330i
$146$	13.0018	−	7.50661i	1.07604	−	0.621251i
$147$	−5.87174	+	3.81087i	−0.484293	+	0.314315i
$148$	1.20570	−	1.20570i	0.0991077	−	0.0991077i
$149$	6.09666	+	1.63360i	0.499458	+	0.133829i	0.499748	−	0.866171i	$-0.333426\pi$
$149$	6.09666	+	1.63360i	0.499458	+	0.133829i	−0.000290536		1.00000i	$0.500092\pi$
$150$	−4.46411	+	4.46411i	−0.364493	+	0.364493i
$151$	1.46708	−	5.47520i	0.119389	−	0.445565i	−0.880189	−	0.474624i	$-0.842584\pi$
$151$	1.46708	−	5.47520i	0.119389	−	0.445565i	0.999578	+	0.0290583i	$0.00925084\pi$
$152$	1.43550	−	0.828788i	0.116435	−	0.0672235i
$153$	−3.47319	−	6.01574i	−0.280791	−	0.486344i
$154$	−0.126550	−	4.85815i	−0.0101977	−	0.391481i
$155$			3.55905i			0.285870i
$156$	−0.344436	+	0.965545i	−0.0275769	+	0.0773055i
$157$	−4.05121	+	2.33897i	−0.323322	+	0.186670i	−0.652872	−	0.757468i	$-0.726436\pi$
$157$	−4.05121	+	2.33897i	−0.323322	+	0.186670i	0.329550	+	0.944138i	$0.393103\pi$
$158$	2.93378	+	10.9490i	0.233399	+	0.871056i
$159$		−	7.55719i		−	0.599324i
$160$	0.338620	−	0.586507i	0.0267703	−	0.0463675i
$161$	10.8394	+	17.6937i	0.854261	+	1.39446i
$162$	−0.339011	−	1.26521i	−0.0266352	−	0.0994040i
$163$	−3.11598	+	11.6290i	−0.244063	+	0.910855i	0.729789	+	0.683672i	$0.239618\pi$
$163$	−3.11598	+	11.6290i	−0.244063	+	0.910855i	−0.973852	+	0.227183i	$0.927049\pi$
$164$	−0.461388	−	0.123629i	−0.0360283	−	0.00965376i
$165$	−0.595227			−0.0463384
$166$	4.19307			0.325445
$167$	2.16916	+	0.581223i	0.167854	+	0.0449764i	0.341767	−	0.939785i	$-0.388975\pi$
$167$	2.16916	+	0.581223i	0.167854	+	0.0449764i	−0.173913	+	0.984761i	$0.555641\pi$
$168$	−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
$171$	−0.535108	+	0.143382i	−0.0409208	+	0.0109647i
$172$	−1.06616	+	1.84665i	−0.0812943	+	0.140806i
$173$	5.82086	+	10.0820i	0.442552	+	0.766523i	0.997878	−	0.0651101i	$-0.0207399\pi$
$173$	5.82086	+	10.0820i	0.442552	+	0.766523i	−0.555326	+	0.831633i	$0.687407\pi$
$174$	−5.58621	−	5.58621i	−0.423489	−	0.423489i
$175$	6.08631	−	11.2059i	0.460082	−	0.847088i
$176$	4.53844	−	1.21607i	0.342098	−	0.0916649i
$177$	6.60405	−	1.76955i	0.496391	−	0.133007i
$178$		−	15.1764i		−	1.13752i
$179$	−16.3721	−	9.45241i	−1.22370	−	0.706506i	−0.257999	−	0.966145i	$-0.583063\pi$
$179$	−16.3721	−	9.45241i	−1.22370	−	0.706506i	−0.965706	+	0.259639i	$0.916397\pi$
$180$	−0.0853351	+	0.0853351i	−0.00636050	+	0.00636050i
$181$	0.400647			0.0297799			0.0148899	−	0.999889i	$-0.495260\pi$
$181$	0.400647			0.0297799			0.0148899	+	0.999889i	$0.495260\pi$
$182$	−0.684540	+	12.4763i	−0.0507415	+	0.924805i
$183$	−2.75753			−0.203842
$184$	−16.5931	+	16.5931i	−1.22326	+	1.22326i
$185$	−2.20446	−	1.27275i	−0.162075	−	0.0935743i
$186$			10.9830i			0.805312i
$187$	−9.40923	+	2.52120i	−0.688071	+	0.184368i
$188$	−2.78628	+	0.746580i	−0.203210	+	0.0544500i
$189$	1.38209	+	2.25606i	0.100532	+	0.164104i
$190$	−0.217787	−	0.217787i	−0.0157999	−	0.0157999i
$191$	5.12611	+	8.87869i	0.370912	+	0.642439i	0.989706	−	0.143114i	$-0.0457117\pi$
$191$	5.12611	+	8.87869i	0.370912	+	0.642439i	−0.618794	+	0.785554i	$0.712378\pi$
$192$	4.39547	−	7.61319i	0.317216	−	0.549434i
$193$	−8.65734	+	2.31973i	−0.623169	+	0.166978i	−0.556568	−	0.830802i	$-0.687882\pi$
$193$	−8.65734	+	2.31973i	−0.623169	+	0.166978i	−0.0666009	+	0.997780i	$0.521215\pi$
$194$	−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	$0.630971\pi$
$198$	−1.83683			−0.130538
$199$	0.0731516			0.00518558			0.00259279	−	0.999997i	$-0.499175\pi$
$199$	0.0731516			0.00518558			0.00259279	+	0.999997i	$0.499175\pi$
$200$	13.9300	+	3.73254i	0.985001	+	0.263930i
$201$	3.70163	−	13.8147i	0.261093	−	0.974411i
$202$	2.41014	+	8.99477i	0.169577	+	0.632870i
$203$	14.0226	+	7.61615i	0.984196	+	0.534549i
$204$	−0.987508	+	1.71041i	−0.0691394	+	0.119753i
$205$			0.713085i			0.0498040i
$206$	3.48485	+	13.0056i	0.242801	+	0.906146i
$207$	6.79199	−	3.92136i	0.472076	−	0.272553i
$208$	−11.8832	+	2.17398i	−0.823954	+	0.150738i
$209$			0.776872i			0.0537374i
$210$	−0.702053	+	1.29260i	−0.0484463	+	0.0891978i
$211$	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	$0.580148\pi$
$212$	−1.86081	+	1.07434i	−0.127801	+	0.0737861i
$213$	1.00255	−	3.74157i	0.0686936	−	0.256368i
$214$	−4.16260	+	4.16260i	−0.284549	+	0.284549i
$215$	3.07480	+	0.823891i	0.209700	+	0.0561889i
$216$	−2.11573	+	2.11573i	−0.143957	+	0.143957i
$217$	−6.29786	−	21.2719i	−0.427526	−	1.44403i
$218$	5.14976	−	2.97321i	0.348785	−	0.201371i
$219$	8.10477	+	8.10477i	0.547670	+	0.547670i
$220$	0.0846184	+	0.146563i	0.00570497	+	0.00988129i
$221$	24.6367	−	4.50715i	1.65724	−	0.303184i
$222$	−6.80283	−	3.92762i	−0.456576	−	0.263604i
$223$	−0.0283672	+	0.105868i	−0.00189961	+	0.00708942i	−0.966869	−	0.255273i	$-0.917835\pi$
$223$	−0.0283672	+	0.105868i	−0.00189961	+	0.00708942i	0.964970	+	0.262362i	$0.0845015\pi$
$224$	−0.986038	+	4.10467i	−0.0658824	+	0.274255i
$225$	−4.17410	−	2.40992i	−0.278274	−	0.160661i
$226$	−2.31593	−	8.64317i	−0.154053	−	0.574935i
$227$	2.22859	+	2.22859i	0.147917	+	0.147917i	0.777187	−	0.629270i	$-0.216646\pi$
$227$	2.22859	+	2.22859i	0.147917	+	0.147917i	−0.629270	+	0.777187i	$0.716646\pi$
$228$	0.111377	+	0.111377i	0.00737611	+	0.00737611i
$229$	4.14901	+	15.4843i	0.274174	+	1.02323i	0.956393	+	0.292084i	$0.0943486\pi$
$229$	4.14901	+	15.4843i	0.274174	+	1.02323i	−0.682218	+	0.731148i	$0.738985\pi$
$230$	3.77612	+	2.18014i	0.248990	+	0.143754i
$231$	3.55759	−	1.05328i	0.234072	−	0.0693004i
$232$	−4.67074	+	17.4314i	−0.306649	+	1.14443i
$233$	−21.8559	−	12.6185i	−1.43183	−	0.826668i	−0.434570	−	0.900638i	$-0.643100\pi$
$233$	−21.8559	−	12.6185i	−1.43183	−	0.826668i	−0.997260	+	0.0739699i	$0.976433\pi$
$234$	4.70726	+	0.381439i	0.307723	+	0.0249354i
$235$	2.15313	+	3.72932i	0.140454	+	0.243274i
$236$	−1.37456	−	1.37456i	−0.0894761	−	0.0894761i
$237$	−7.49452	+	4.32696i	−0.486821	+	0.281066i
$238$	−5.62287	+	23.4068i	−0.364477	+	1.51724i
$239$	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	$0.197419\pi$
$240$	−1.37368	−	0.368077i	−0.0886708	−	0.0237593i
$241$	2.15492	−	2.15492i	0.138811	−	0.138811i	−0.634287	−	0.773098i	$-0.718706\pi$
$241$	2.15492	−	2.15492i	0.138811	−	0.138811i	0.773098	+	0.634287i	$0.218706\pi$
$242$	3.06244	−	11.4292i	0.196861	−	0.734696i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	0.392014	+	0.678988i	0.0250961	+	0.0434678i
$245$	0.618539	−	2.90608i	0.0395170	−	0.185663i
$246$			2.20054i			0.140301i
$247$	0.161326	−	1.99090i	0.0102649	−	0.126678i
$248$	21.7274	−	12.5443i	1.37969	−	0.796567i
$249$	0.828534	+	3.09213i	0.0525062	+	0.195956i
$250$		−	5.45950i		−	0.345289i
$251$	3.62476	−	6.27826i	0.228793	−	0.396280i	−0.728658	−	0.684878i	$-0.759856\pi$
$251$	3.62476	−	6.27826i	0.228793	−	0.396280i	0.957451	+	0.288597i	$0.0931889\pi$
$252$	0.359032	−	0.661039i	0.0226169	−	0.0416415i
$253$	−2.84652	−	10.6234i	−0.178959	−	0.667885i
$254$	−0.284916	+	1.06332i	−0.0178772	+	0.0667187i
$255$	2.84796	+	0.763108i	0.178346	+	0.0477877i
$256$	−6.67931			−0.417457
$257$	−11.4669			−0.715289			−0.357644	−	0.933858i	$-0.616420\pi$
$257$	−11.4669			−0.715289			−0.357644	+	0.933858i	$0.616420\pi$
$258$	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
$262$	22.8843	−	6.13184i	1.41380	−	0.378826i
$263$	8.29386	−	14.3654i	0.511421	−	0.885808i	−0.488491	−	0.872569i	$-0.662453\pi$
$263$	8.29386	−	14.3654i	0.511421	−	0.885808i	0.999912	−	0.0132387i	$-0.00421412\pi$
$264$	2.09796	+	3.63377i	0.129120	+	0.223643i
$265$	2.26817	+	2.26817i	0.139333	+	0.139333i
$266$	1.68706	+	0.916299i	0.103440	+	0.0561819i
$267$	11.1916	−	2.99879i	0.684918	−	0.183523i
$268$	−3.92782	+	1.05246i	−0.239930	+	0.0642891i
$269$			9.39879i			0.573055i	0.958072	+	0.286527i	$0.0925009\pi$
$269$			9.39879i			0.573055i	−0.958072	+	0.286527i	$0.907499\pi$
$270$	0.481481	+	0.277983i	0.0293020	+	0.0169175i
$271$	16.6976	−	16.6976i	1.01431	−	1.01431i	0.0144118	−	0.999896i	$-0.495412\pi$
$271$	16.6976	−	16.6976i	1.01431	−	1.01431i	0.999896	−	0.0144118i	$-0.00458758\pi$
$272$	−23.2740			−1.41119
$273$	−9.33577	+	1.96046i	−0.565026	+	0.118653i
$274$	19.0356			1.14998
$275$	−4.77935	+	4.77935i	−0.288206	+	0.288206i
$276$	−1.93112	−	1.11493i	−0.116240	−	0.0671110i
$277$			7.83005i			0.470462i	0.971940	+	0.235231i	$0.0755846\pi$
$277$			7.83005i			0.470462i	−0.971940	+	0.235231i	$0.924415\pi$
$278$	14.8263	−	3.97268i	0.889219	−	0.238266i
$279$	−8.09928	+	2.17020i	−0.484891	+	0.129926i
$280$	3.35898	−	0.0874981i	0.200738	−	0.00522901i
$281$	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	$0.646054\pi$
$282$	6.64441	+	11.5085i	0.395669	+	0.685318i
$283$	−6.54596	+	11.3379i	−0.389117	+	0.673971i	−0.992331	−	0.123609i	$-0.960553\pi$
$283$	−6.54596	+	11.3379i	−0.389117	+	0.673971i	0.603214	+	0.797580i	$0.293887\pi$
$284$	−1.06381	+	0.285048i	−0.0631257	+	0.0169145i
$285$	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
$289$	31.2522			1.83837
$290$	3.35323			0.196908
$291$	−15.5709	−	4.17221i	−0.912783	−	0.244579i
$292$	0.843459	−	3.14783i	0.0493597	−	0.184213i
$293$	1.63802	+	6.11317i	0.0956941	+	0.357135i	0.997124	−	0.0757902i	$-0.0241479\pi$
$293$	1.63802	+	6.11317i	0.0956941	+	0.357135i	−0.901430	+	0.432926i	$0.857481\pi$
$294$	1.90877	−	8.96799i	0.111322	−	0.523024i
$295$	−1.45100	+	2.51321i	−0.0844805	+	0.146324i
$296$			17.9439i			1.04297i
$297$	−0.362951	−	1.35455i	−0.0210606	−	0.0785991i
$298$	−7.15973	+	4.13367i	−0.414752	+	0.239457i
$299$	5.08873	+	27.8157i	0.294289	+	1.60862i
$300$			1.37039i			0.0791195i
$301$	−19.8355	+	0.516695i	−1.14330	+	0.0297818i
$302$	3.71231	+	6.42991i	0.213619	+	0.369999i
$303$	−6.15686	+	3.55466i	−0.353702	+	0.204210i
$304$	−0.480403	+	1.79289i	−0.0275530	+	0.102829i
$305$	0.827629	−	0.827629i	0.0473899	−	0.0473899i
$306$	8.78861	+	2.35490i	0.502412	+	0.134621i
$307$	−0.930901	+	0.930901i	−0.0531293	+	0.0531293i	−0.733172	−	0.680043i	$-0.761961\pi$
$307$	−0.930901	+	0.930901i	−0.0531293	+	0.0531293i	0.680043	+	0.733172i	$0.261961\pi$
$308$	−0.765100	−	0.726252i	−0.0435956	−	0.0413821i
$309$	−8.90227	+	5.13973i	−0.506432	+	0.292389i
$310$	−3.29637	−	3.29637i	−0.187221	−	0.187221i
$311$	−15.2632	−	26.4366i	−0.865495	−	1.49908i	−0.866555	−	0.499081i	$-0.833671\pi$
$311$	−15.2632	−	26.4366i	−0.865495	−	1.49908i	0.00106060	−	0.999999i	$-0.499662\pi$
$312$	−4.62186	−	9.74795i	−0.261661	−	0.551869i
$313$	−15.9124	−	9.18705i	−0.899425	−	0.519283i	−0.0224111	−	0.999749i	$-0.507134\pi$
$313$	−15.9124	−	9.18705i	−0.899425	−	0.519283i	−0.877013	+	0.480466i	$0.840468\pi$
$314$	1.58587	−	5.91856i	0.0894960	−	0.334004i
$315$	−1.09194	−	0.262309i	−0.0615236	−	0.0147794i
$316$	2.13086	+	1.23025i	0.119870	+	0.0692072i
$317$	−4.00188	−	14.9352i	−0.224768	−	0.838845i	−0.982497	−	0.186276i	$-0.940358\pi$
$317$	−4.00188	−	14.9352i	−0.224768	−	0.838845i	0.757730	−	0.652569i	$-0.226309\pi$
$318$	6.99944	+	6.99944i	0.392509	+	0.392509i
$319$	−5.98069	−	5.98069i	−0.334854	−	0.334854i
$320$	0.965746	+	3.60421i	0.0539868	+	0.201482i
$321$	−3.89218	−	2.24715i	−0.217240	−	0.125424i
$322$	−26.4272	−	6.34842i	−1.47273	−	0.353784i
$323$	0.995985	−	3.71707i	0.0554181	−	0.206823i
$324$	−0.246231	−	0.142161i	−0.0136795	−	0.00789786i
$325$	13.2406	−	11.2556i	0.734454	−	0.624348i
$326$	−7.88473	−	13.6568i	−0.436695	−	0.756378i
$327$	3.21013	+	3.21013i	0.177521	+	0.177521i
$328$	4.35328	−	2.51337i	0.240370	−	0.138777i
$329$	−19.4681	−	18.4796i	−1.07331	−	1.01881i
$330$	0.551297	−	0.551297i	0.0303479	−	0.0303479i
$331$	25.7839	+	6.90877i	1.41721	+	0.379740i	0.884493	−	0.466553i	$-0.154504\pi$
$331$	25.7839	+	6.90877i	1.41721	+	0.379740i	0.532717	+	0.846293i	$0.321171\pi$
$332$	0.643592	−	0.643592i	0.0353217	−	0.0353217i
$333$	1.55216	−	5.79276i	0.0850581	−	0.317441i
$334$	−2.54739	+	1.47074i	−0.139387	+	0.0804751i
$335$	3.03527	+	5.25724i	0.165835	+	0.287234i
$336$	8.86162	−	0.230836i	0.483441	−	0.0125931i
$337$		−	25.3802i		−	1.38255i	−0.722592	−	0.691275i	$-0.757049\pi$
$337$		−	25.3802i		−	1.38255i	0.722592	−	0.691275i	$-0.242951\pi$
$338$	−6.99784	+	15.5235i	−0.380632	+	0.844368i
$339$	5.91619	−	3.41572i	0.321324	−	0.185516i
$340$	−0.216969	−	0.809740i	−0.0117668	−	0.0439143i
$341$			11.7586i			0.636762i
$342$	0.362815	−	0.628415i	0.0196188	−	0.0339808i
$343$	1.44550	+	18.4638i	0.0780498	+	0.996949i
$344$	−5.80783	−	21.6751i	−0.313137	−	1.16864i
$345$	−0.861576	+	3.21544i	−0.0463857	+	0.173114i
$346$	−14.7292	−	3.94668i	−0.791846	−	0.212175i
$347$	−2.33363			−0.125276			−0.0626380	−	0.998036i	$-0.519951\pi$
$347$	−2.33363			−0.125276			−0.0626380	+	0.998036i	$0.519951\pi$
$348$	−1.71485			−0.0919256
$349$	−28.6493	−	7.67654i	−1.53356	−	0.410916i	−0.609381	−	0.792878i	$-0.708582\pi$
$349$	−28.6493	−	7.67654i	−1.53356	−	0.410916i	−0.924178	+	0.381962i	$0.875249\pi$
$350$	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
$353$	4.21930	−	1.13056i	0.224571	−	0.0601736i	−0.144779	−	0.989464i	$-0.546247\pi$
$353$	4.21930	−	1.13056i	0.224571	−	0.0601736i	0.369350	+	0.929290i	$0.379580\pi$
$354$	−4.47769	+	7.75559i	−0.237987	+	0.412205i
$355$	0.822073	+	1.42387i	0.0436311	+	0.0755713i
$356$	−2.32942	−	2.32942i	−0.123459	−	0.123459i
$357$	−18.3722	+	0.478576i	−0.972358	+	0.0253289i
$358$	23.9185	−	6.40895i	1.26413	−	0.338723i
$359$	−20.7047	+	5.54780i	−1.09275	+	0.292802i	−0.759809	−	0.650146i	$-0.774708\pi$
$359$	−20.7047	+	5.54780i	−1.09275	+	0.292802i	−0.332941	+	0.942948i	$0.608041\pi$
$360$		−	1.27001i		−	0.0669353i
$361$	16.1887	+	9.34655i	0.852037	+	0.491924i
$362$	−0.371078	+	0.371078i	−0.0195034	+	0.0195034i
$363$	9.03346			0.474134
$364$	1.80991	+	2.02005i	0.0948652	+	0.105880i
$365$	−4.86505			−0.254648
$366$	2.55401	−	2.55401i	0.133500	−	0.133500i
$367$	10.9156	+	6.30214i	0.569791	+	0.328969i	0.757066	−	0.653338i	$-0.226632\pi$
$367$	10.9156	+	6.30214i	0.569791	+	0.328969i	−0.187275	+	0.982308i	$0.559965\pi$
$368$		−	26.2771i		−	1.36979i
$369$	−1.62276	+	0.434817i	−0.0844775	+	0.0226357i
$370$	3.22058	−	0.862952i	0.167430	−	0.0448627i
$371$	−17.5702	−	9.54293i	−0.912197	−	0.495444i
$372$	1.68578	+	1.68578i	0.0874034	+	0.0874034i
$373$	7.97476	+	13.8127i	0.412917	+	0.715194i	0.995207	−	0.0977873i	$-0.0311765\pi$
$373$	7.97476	+	13.8127i	0.412917	+	0.715194i	−0.582290	+	0.812981i	$0.697843\pi$
$374$	6.37967	−	11.0499i	0.329885	−	0.571377i
$375$	4.02605	−	1.07878i	0.207904	−	0.0557078i
$376$	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	$0.925240\pi$
$380$	−0.0668561			−0.00342964
$381$	−0.840432			−0.0430566
$382$	−12.9712	−	3.47562i	−0.663664	−	0.177828i
$383$	−3.37726	+	12.6041i	−0.172570	+	0.644039i	0.824383	+	0.566032i	$0.191522\pi$
$383$	−3.37726	+	12.6041i	−0.172570	+	0.644039i	−0.996953	+	0.0780068i	$0.975144\pi$
$384$	2.15431	+	8.03999i	0.109937	+	0.410289i
$385$	−0.751630	+	1.38388i	−0.0383066	+	0.0705290i
$386$	5.86987	−	10.1669i	0.298768	−	0.517482i
$387$			7.49968i			0.381230i
$388$	1.18626	+	4.42717i	0.0602230	+	0.224755i
$389$	−14.8252	+	8.55933i	−0.751667	+	0.433975i	−0.826296	−	0.563236i	$-0.809556\pi$
$389$	−14.8252	+	8.55933i	−0.751667	+	0.433975i	0.0746290	+	0.997211i	$0.476223\pi$
$390$	−1.52729	+	1.29833i	−0.0773376	+	0.0657434i
$391$			54.4785i			2.75510i
$392$	−19.9213	+	6.46680i	−1.00618	+	0.326623i
$393$	9.04371	+	15.6642i	0.456195	+	0.790152i
$394$	4.74781	−	2.74115i	0.239191	−	0.138097i
$395$	0.950693	−	3.54803i	0.0478345	−	0.178521i
$396$	−0.281935	+	0.281935i	−0.0141678	+	0.0141678i
$397$	−9.36386	−	2.50904i	−0.469959	−	0.125925i	0.0160646	−	0.999871i	$-0.494886\pi$
$397$	−9.36386	−	2.50904i	−0.469959	−	0.125925i	−0.486023	+	0.873946i	$0.661553\pi$
$398$	−0.0677527	+	0.0677527i	−0.00339613	+	0.00339613i
$399$	−0.342357	+	1.42516i	−0.0171393	+	0.0713473i
$400$	−13.9854	+	8.07447i	−0.699270	+	0.403723i
$401$	−5.44277	−	5.44277i	−0.271799	−	0.271799i	0.558025	−	0.829824i	$-0.311559\pi$
$401$	−5.44277	−	5.44277i	−0.271799	−	0.271799i	−0.829824	+	0.558025i	$0.811559\pi$
$402$	9.36665	+	16.2235i	0.467166	+	0.809155i
$403$	2.44180	−	30.1338i	0.121635	−	1.50107i
$404$	1.75054	+	1.01067i	0.0870924	+	0.0502828i
$405$	−0.109857	+	0.409991i	−0.00545883	+	0.0203726i
$406$	−20.0418	+	5.93365i	−0.994656	+	0.294482i
$407$	−7.28323	−	4.20497i	−0.361016	−	0.208433i
$408$	−5.37936	−	20.0760i	−0.266318	−	0.993912i
$409$	−2.18322	−	2.18322i	−0.107954	−	0.107954i	0.651067	−	0.759020i	$-0.274322\pi$
$409$	−2.18322	−	2.18322i	−0.107954	−	0.107954i	−0.759020	+	0.651067i	$0.774322\pi$
$410$	−0.660457	−	0.660457i	−0.0326176	−	0.0326176i
$411$	3.76136	+	14.0376i	0.185534	+	0.692423i
$412$	2.53112	+	1.46134i	0.124699	+	0.0719952i
$413$	4.22521	−	17.5887i	0.207909	−	0.865481i
$414$	−2.65877	+	9.92265i	−0.130671	+	0.487672i
$415$	−1.17673	−	0.679384i	−0.0577633	−	0.0333496i
$416$	−3.26942	+	4.73352i	−0.160297	+	0.232080i
$417$	5.85922	+	10.1485i	0.286927	+	0.496973i
$418$	−0.719536	−	0.719536i	−0.0351937	−	0.0351937i
$419$	−2.29397	+	1.32442i	−0.112068	+	0.0647023i	−0.554986	−	0.831860i	$-0.687276\pi$
$419$	−2.29397	+	1.32442i	−0.112068	+	0.0647023i	0.442918	+	0.896562i	$0.353943\pi$
$420$	0.0906427	+	0.306159i	0.00442291	+	0.0149390i
$421$	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	$0.150025\pi$
$422$	−26.2495	−	7.03353i	−1.27780	−	0.342387i
$423$	−7.17387	+	7.17387i	−0.348805	+	0.348805i
$424$	5.85237	−	21.8414i	0.284216	−	1.06071i
$425$	28.9949	−	16.7402i	1.40646	−	0.812020i
$426$	2.53687	+	4.39398i	0.122912	+	0.212889i
$427$	−3.48210	+	6.41114i	−0.168511	+	0.310257i
$428$			1.27783i			0.0617663i
$429$	5.03967	+	0.408375i	0.243318	+	0.0197165i
$430$	−3.61095	+	2.08478i	−0.174136	+	0.100537i
$431$	−3.00230	−	11.2048i	−0.144616	−	0.539714i	−0.999772	−	0.0213436i	$-0.993206\pi$
$431$	−3.00230	−	11.2048i	−0.144616	−	0.539714i	0.855156	−	0.518370i	$-0.173461\pi$
$432$		−	3.35051i		−	0.161202i
$433$	−1.08503	+	1.87932i	−0.0521430	+	0.0903143i	−0.890919	−	0.454163i	$-0.849938\pi$
$433$	−1.08503	+	1.87932i	−0.0521430	+	0.0903143i	0.838776	+	0.544477i	$0.183272\pi$
$434$	25.5350	+	13.8689i	1.22572	+	0.665728i
$435$	0.662585	+	2.47280i	0.0317685	+	0.118562i
$436$	0.334077	−	1.24679i	0.0159994	−	0.0597105i
$437$	4.19670	+	1.12450i	0.200755	+	0.0537923i
$438$	−15.0132			−0.717359
$439$	20.7361			0.989680			0.494840	−	0.868984i	$-0.335227\pi$
$439$	20.7361			0.989680			0.494840	+	0.868984i	$0.335227\pi$
$440$	−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	−0.998057	−	0.0622999i	$-0.980156\pi$
$443$	−9.36776	+	16.2254i	−0.445075	+	0.770893i	0.552982	+	0.833193i	$0.313490\pi$
$444$	−1.64701	+	0.441316i	−0.0781638	+	0.0209439i
$445$	−2.45896	+	4.25904i	−0.116566	+	0.201898i
$446$	−0.0717806	−	0.124328i	−0.00339891	−	0.00588709i
$447$	−4.46306	−	4.46306i	−0.211096	−	0.211096i
$448$	−12.1499	−	19.8329i	−0.574029	−	0.937018i
$449$	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	$0.303847\pi$
$450$	6.09809	−	1.63398i	0.287467	−	0.0770265i
$451$			2.35593i			0.110936i
$452$	−1.68211	−	0.971166i	−0.0791198	−	0.0456798i
$453$	−4.00812	+	4.00812i	−0.188318	+	0.188318i
$454$	−4.12822			−0.193747
$455$	2.21358	−	3.39039i	0.103774	−	0.158944i
$456$	−1.65758			−0.0776231
$457$	17.1891	−	17.1891i	0.804074	−	0.804074i	−0.179655	−	0.983730i	$-0.557498\pi$
$457$	17.1891	−	17.1891i	0.804074	−	0.804074i	0.983730	+	0.179655i	$0.0574982\pi$
$458$	−18.1843	−	10.4987i	−0.849697	−	0.490573i
$459$			6.94638i			0.324229i
$460$	0.914225	−	0.244966i	0.0426259	−	0.0114216i
$461$	−3.71656	+	0.995848i	−0.173097	+	0.0463813i	−0.344327	−	0.938850i	$-0.611893\pi$
$461$	−3.71656	+	0.995848i	−0.173097	+	0.0463813i	0.171229	+	0.985231i	$0.445226\pi$
$462$	−2.31948	+	4.27056i	−0.107912	+	0.198684i
$463$	−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	$0.802500\pi$
$464$	−10.1041	−	17.5007i	−0.469069	−	0.812452i
$465$	1.77952	−	3.08223i	0.0825234	−	0.142935i
$466$	31.9301	−	8.55565i	1.47913	−	0.396333i
$467$	4.32120	−	7.48453i	0.199961	−	0.346343i	−0.748554	−	0.663073i	$-0.769252\pi$
$467$	4.32120	−	7.48453i	0.199961	−	0.346343i	0.948516	+	0.316731i	$0.102585\pi$
$468$	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
$471$	4.67794			0.215548
$472$	20.4570			0.941609
$473$	10.1587	+	2.72201i	0.467097	+	0.125158i
$474$	2.93378	−	10.9490i	0.134753	−	0.502904i
$475$	−0.691077	−	2.57914i	−0.0317088	−	0.118339i
$476$	2.72965	+	4.45576i	0.125114	+	0.204229i
$477$	−3.77860	+	6.54472i	−0.173010	+	0.299662i
$478$			6.65964i			0.304605i
$479$	−6.58134	−	24.5619i	−0.300709	−	1.12226i	−0.936576	−	0.350464i	$-0.886024\pi$
$479$	−6.58134	−	24.5619i	−0.300709	−	1.12226i	0.635867	−	0.771799i	$-0.280643\pi$
$480$	−0.586507	+	0.338620i	−0.0267703	+	0.0154558i
$481$	17.7916	+	12.2886i	0.811225	+	0.560310i
$482$			3.99176i			0.181820i
$483$	−0.540329	−	20.7428i	−0.0245858	−	0.943831i
$484$	−1.28421	−	2.22432i	−0.0583732	−	0.101105i
$485$	5.92559	−	3.42114i	0.269067	−	0.155346i
$486$	−0.339011	+	1.26521i	−0.0153779	+	0.0573910i
$487$	−13.1080	+	13.1080i	−0.593981	+	0.593981i	−0.938704	−	0.344723i	$-0.887973\pi$
$487$	−13.1080	+	13.1080i	−0.593981	+	0.593981i	0.344723	+	0.938704i	$0.387973\pi$
$488$	−7.96964	−	2.13546i	−0.360769	−	0.0966677i
$489$	8.51303	−	8.51303i	0.384972	−	0.384972i
$490$	2.11871	+	3.26449i	0.0957138	+	0.147475i
$491$	−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	$0.559681\pi$
$492$	0.337759	+	0.337759i	0.0152274	+	0.0152274i
$493$	20.9480	+	36.2830i	0.943452	+	1.63411i
$494$	1.69454	+	1.99338i	0.0762409	+	0.0896863i
$495$	0.515482	+	0.297614i	0.0231692	+	0.0133767i
$496$	−7.27127	+	27.1368i	−0.326490	+	1.21848i
$497$	−7.43301	−	7.05559i	−0.333416	−	0.316487i
$498$	−3.63130	−	2.09653i	−0.162723	−	0.0939479i
$499$	−7.48822	−	27.9464i	−0.335219	−	1.25105i	−0.903632	−	0.428310i	$-0.859109\pi$
$499$	−7.48822	−	27.9464i	−0.335219	−	1.25105i	0.568413	−	0.822743i	$-0.307557\pi$
$500$	−0.837977	−	0.837977i	−0.0374755	−	0.0374755i
$501$	−1.58793	−	1.58793i	−0.0709436	−	0.0709436i
$502$	2.45767	+	9.17213i	0.109691	+	0.409372i
$503$	4.27955	+	2.47080i	0.190816	+	0.110168i	0.592364	−	0.805670i	$-0.298195\pi$
$503$	4.27955	+	2.47080i	0.190816	+	0.110168i	−0.401549	+	0.915838i	$0.631528\pi$
$504$	2.24732	+	7.59065i	0.100104	+	0.338114i
$505$	0.781009	−	2.91476i	0.0347544	−	0.129705i
$506$	12.4757	+	7.20287i	0.554614	+	0.320207i
$507$	−12.8304	−	2.09309i	−0.569818	−	0.0929573i
$508$	0.119477	+	0.206940i	0.00530094	+	0.00918149i
$509$	−0.555629	−	0.555629i	−0.0246278	−	0.0246278i	0.694686	−	0.719313i	$-0.255543\pi$
$509$	−0.555629	−	0.555629i	−0.0246278	−	0.0246278i	−0.719313	+	0.694686i	$0.755543\pi$
$510$	−3.34455	+	1.93098i	−0.148099	+	0.0855052i
$511$	29.0777	−	8.60887i	1.28632	−	0.380834i
$512$	17.9577	−	17.9577i	0.793626	−	0.793626i
$513$	0.535108	+	0.143382i	0.0236256	+	0.00633046i
$514$	10.6206	−	10.6206i	0.468456	−	0.468456i
$515$	1.12927	−	4.21449i	0.0497615	−	0.185713i
$516$	1.84665	−	1.06616i	0.0812943	−	0.0469353i
$517$	7.11361	+	12.3211i	0.312856	+	0.541883i
$518$	−17.7219	+	10.8567i	−0.778656	+	0.477014i
$519$		−	11.6417i		−	0.511015i
$520$	4.31288	+	1.53852i	0.189132	+	0.0674685i
$521$	−19.1469	+	11.0545i	−0.838840	+	0.484304i	−0.856870	−	0.515533i	$-0.827594\pi$
$521$	−19.1469	+	11.0545i	−0.838840	+	0.484304i	0.0180299	+	0.999837i	$0.494261\pi$
$522$	2.04469	+	7.63090i	0.0894938	+	0.333996i
$523$			28.2350i			1.23463i	0.786716	+	0.617316i	$0.211780\pi$
$523$			28.2350i			1.23463i	−0.786716	+	0.617316i	$0.788220\pi$
$524$	2.57133	−	4.45368i	0.112329	−	0.194560i
$525$	−10.8739	+	6.66146i	−0.474574	+	0.290730i
$526$	5.62342	+	20.9869i	0.245193	+	0.915072i
$527$	15.0750	−	56.2607i	0.656678	−	2.45076i
$528$	−4.53844	−	1.21607i	−0.197510	−	0.0529228i
$529$	−38.5081			−1.67427
$530$	−4.20155			−0.182504
$531$	−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
$535$	1.84262	−	0.493729i	0.0796636	−	0.0213458i
$536$	21.3964	−	37.0597i	0.924186	−	1.60074i
$537$	9.45241	+	16.3721i	0.407902	+	0.706506i
$538$	−8.70512	−	8.70512i	−0.375305	−	0.375305i
$539$	2.04356	−	9.60127i	0.0880224	−	0.413556i
$540$	0.116570	−	0.0312348i	0.00501637	−	0.00134413i
$541$	1.19554	−	0.320344i	0.0514003	−	0.0137727i	−0.233027	−	0.972470i	$-0.574863\pi$
$541$	1.19554	−	0.320344i	0.0514003	−	0.0137727i	0.284428	+	0.958698i	$0.408196\pi$
$542$			30.9305i			1.32858i
$543$	−0.346971	−	0.200324i	−0.0148899	−	0.00859671i
$544$	−7.83710	+	7.83710i	−0.336013	+	0.336013i
$545$	−1.92694			−0.0825412
$546$	6.83098	−	10.4625i	0.292339	−	0.447755i
$547$	1.83004			0.0782468			0.0391234	−	0.999234i	$-0.487543\pi$
$547$	1.83004			0.0782468			0.0391234	+	0.999234i	$0.487543\pi$
$548$	2.92177	−	2.92177i	0.124812	−	0.124812i
$549$	2.38809	+	1.37876i	0.101921	+	0.0588442i
$550$		−	8.85324i		−	0.377503i
$551$	3.22742	−	0.864786i	0.137493	−	0.0368411i
$552$	22.6665	−	6.07348i	0.964752	−	0.258505i
$553$	0.596218	+	22.8884i	0.0253538	+	0.973312i
$554$	−7.25216	−	7.25216i	−0.308115	−	0.308115i
$555$	1.27275	+	2.20446i	0.0540252	+	0.0935743i
$556$	1.66591	−	2.88544i	0.0706503	−	0.122370i
$557$	−12.7054	+	3.40440i	−0.538345	+	0.144249i	−0.517739	−	0.855539i	$-0.673226\pi$
$557$	−12.7054	+	3.40440i	−0.538345	+	0.144249i	−0.0206059	+	0.999788i	$0.506560\pi$
$558$	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
$562$	−14.0868			−0.594217
$563$	10.6635			0.449413			0.224706	−	0.974427i	$-0.427858\pi$
$563$	10.6635			0.449413			0.224706	+	0.974427i	$0.427858\pi$
$564$	2.78628	+	0.746580i	0.117323	+	0.0314367i
$565$	−0.750480	+	2.80083i	−0.0315729	+	0.117832i
$566$	−4.43831	−	16.5640i	−0.186556	−	0.696237i
$567$	−0.0688957	−	2.64485i	−0.00289335	−	0.111073i
$568$	5.79502	−	10.0373i	0.243154	−	0.421154i
$569$			33.3642i			1.39870i	0.714780	+	0.699349i	$0.246527\pi$
$569$			33.3642i			1.39870i	−0.714780	+	0.699349i	$0.753473\pi$
$570$	0.0797155	+	0.297502i	0.00333892	+	0.0124610i
$571$	15.3066	−	8.83728i	0.640562	−	0.369829i	−0.144269	−	0.989539i	$-0.546083\pi$
$571$	15.3066	−	8.83728i	0.640562	−	0.369829i	0.784831	+	0.619710i	$0.212750\pi$
$572$	−0.615893	−	1.29898i	−0.0257518	−	0.0543130i
$573$		−	10.2522i		−	0.428293i
$574$	5.11615	+	2.77875i	0.213544	+	0.115983i
$575$	18.9003	+	32.7363i	0.788197	+	1.36520i
$576$	−7.61319	+	4.39547i	−0.317216	+	0.183145i
$577$	0.423680	−	1.58119i	0.0176380	−	0.0658260i	−0.956546	−	0.291582i	$-0.905818\pi$
$577$	0.423680	−	1.58119i	0.0176380	−	0.0658260i	0.974184	+	0.225756i	$0.0724851\pi$
$578$	−28.9457	+	28.9457i	−1.20398	+	1.20398i
$579$	8.65734	+	2.31973i	0.359787	+	0.0964046i
$580$	0.514686	−	0.514686i	0.0213712	−	0.0213712i
$581$	8.23532	+	1.97832i	0.341659	+	0.0820744i
$582$	18.2860	−	10.5574i	0.757979	−	0.437619i
$583$	7.49372	+	7.49372i	0.310358	+	0.310358i
$584$	17.1475	+	29.7004i	0.709569	+	1.22901i
$585$	−1.25923	−	0.869742i	−0.0520626	−	0.0359594i
$586$	−7.17912	−	4.14487i	−0.296567	−	0.171223i
$587$	0.520017	−	1.94073i	0.0214634	−	0.0801025i	−0.954363	−	0.298648i	$-0.903464\pi$
$587$	0.520017	−	1.94073i	0.0214634	−	0.0801025i	0.975827	+	0.218545i	$0.0701311\pi$
$588$	−1.08352	−	1.66947i	−0.0446835	−	0.0688478i
$589$	−4.02283	−	2.32258i	−0.165758	−	0.0957003i
$590$	−0.983810	−	3.67163i	−0.0405028	−	0.151159i
$591$	2.95958	+	2.95958i	0.121741	+	0.121741i
$592$	−14.2082	−	14.2082i	−0.583952	−	0.583952i
$593$	11.7799	+	43.9632i	0.483743	+	1.80535i	0.585655	+	0.810561i	$0.300837\pi$
$593$	11.7799	+	43.9632i	0.483743	+	1.80535i	−0.101912	+	0.994793i	$0.532496\pi$
$594$	1.59074	+	0.918416i	0.0652690	+	0.0376831i
$595$	5.37049	−	5.65776i	0.220168	−	0.231946i
$596$	−0.464468	+	1.73342i	−0.0190254	+	0.0710037i
$597$	−0.0633511	−	0.0365758i	−0.00259279	−	0.00149695i
$598$	−30.4759	−	21.0496i	−1.24625	−	0.860781i
$599$	19.7690	+	34.2408i	0.807738	+	1.39904i	0.914427	+	0.404751i	$0.132642\pi$
$599$	19.7690	+	34.2408i	0.807738	+	1.39904i	−0.106689	+	0.994292i	$0.534025\pi$
$600$	−10.1975	−	10.1975i	−0.416310	−	0.416310i
$601$	−0.950504	+	0.548773i	−0.0387718	+	0.0223849i	−0.519261	−	0.854616i	$-0.673793\pi$
$601$	−0.950504	+	0.548773i	−0.0387718	+	0.0223849i	0.480489	+	0.877001i	$0.340459\pi$
$602$	17.8930	−	18.8502i	0.729266	−	0.768275i
$603$	−10.1130	+	10.1130i	−0.411834	+	0.411834i
$604$	1.55672	+	0.417123i	0.0633422	+	0.0169725i
$605$	−2.71125	+	2.71125i	−0.110228	+	0.110228i
$606$	2.41014	−	8.99477i	0.0979053	−	0.365388i
$607$	13.5220	−	7.80692i	0.548840	−	0.316873i	−0.199814	−	0.979834i	$-0.564034\pi$
$607$	13.5220	−	7.80692i	0.548840	−	0.316873i	0.748654	+	0.662961i	$0.230700\pi$
$608$	0.441957	+	0.765492i	0.0179237	+	0.0310448i
$609$	−8.33588	−	13.6071i	−0.337787	−	0.551388i
$610$			1.53309i			0.0620731i
$611$	−15.6715	−	33.0527i	−0.634000	−	1.33717i
$612$	1.71041	−	0.987508i	0.0691394	−	0.0399176i
$613$	6.90744	+	25.7789i	0.278989	+	1.04120i	0.953121	+	0.302590i	$0.0978513\pi$
$613$	6.90744	+	25.7789i	0.278989	+	1.04120i	−0.674132	+	0.738611i	$0.735482\pi$
$614$		−	1.72439i		−	0.0695908i
$615$	0.356543	−	0.617550i	0.0143772	−	0.0249020i
$616$	11.0976	−	0.289081i	0.447135	−	0.0116474i
$617$	−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	$0.969682\pi$
$618$	3.48485	−	13.0056i	0.140181	−	0.523164i
$619$	21.9027	+	5.86882i	0.880346	+	0.235888i	0.670556	−	0.741859i	$-0.266055\pi$
$619$	21.9027	+	5.86882i	0.880346	+	0.235888i	0.209789	+	0.977747i	$0.432722\pi$
$620$	−1.01192			−0.0406396
$621$	−7.84271			−0.314717
$622$	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
$626$	23.2471	−	6.22903i	0.929139	−	0.248962i
$627$	0.388436	−	0.672791i	0.0155126	−	0.0268687i
$628$	−0.665023	−	1.15185i	−0.0265373	−	0.0459639i
$629$	29.4568	+	29.4568i	1.17452	+	1.17452i
$630$	1.25430	−	0.768397i	0.0499723	−	0.0306137i
$631$	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	$0.301271\pi$
$632$	−25.0111	+	6.70169i	−0.994886	+	0.266579i
$633$		−	20.7472i		−	0.824627i
$634$	17.5395	+	10.1264i	0.696581	+	0.402171i
$635$	0.252243	−	0.252243i	0.0100099	−	0.0100099i
$636$	2.14868			0.0852008
$637$	−7.23086	+	24.1809i	−0.286497	+	0.958081i
$638$	11.0786			0.438605
$639$	−2.73902	+	2.73902i	−0.108354	+	0.108354i
$640$	−3.05966	−	1.76650i	−0.120944	−	0.0698269i
$641$		−	23.0810i		−	0.911645i	−0.890071	−	0.455822i	$-0.849345\pi$
$641$		−	23.0810i		−	0.911645i	0.890071	−	0.455822i	$-0.150655\pi$
$642$	5.68622	−	1.52362i	0.224417	−	0.0601324i
$643$	−39.1565	+	10.4920i	−1.54418	+	0.413763i	−0.927615	−	0.373538i	$-0.878144\pi$
$643$	−39.1565	+	10.4920i	−1.54418	+	0.413763i	−0.616569	+	0.787301i	$0.711478\pi$
$644$	−5.03071	+	3.08188i	−0.198238	+	0.121443i
$645$	−2.25091	−	2.25091i	−0.0886296	−	0.0886296i
$646$	2.52025	+	4.36521i	0.0991581	+	0.171747i
$647$	16.1610	−	27.9916i	0.635353	−	1.10046i	−0.351087	−	0.936343i	$-0.614188\pi$
$647$	16.1610	−	27.9916i	0.635353	−	1.10046i	0.986440	−	0.164121i	$-0.0524787\pi$
$648$	2.89014	−	0.774411i	0.113535	−	0.0304217i
$649$	−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
$653$	36.5732			1.43122			0.715610	−	0.698500i	$-0.246149\pi$
$653$	36.5732			1.43122			0.715610	+	0.698500i	$0.246149\pi$
$654$	−5.94643			−0.232524
$655$	−7.41569	−	1.98703i	−0.289755	−	0.0776396i
$656$	−1.45686	+	5.43708i	−0.0568809	+	0.212282i
$657$	−2.96655	−	11.0713i	−0.115736	−	0.431934i
$658$	35.1470	−	0.915542i	1.37017	−	0.0356916i
$659$	−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	$0.859110\pi$
$660$		−	0.169237i		−	0.00658753i
$661$	−1.49909	−	5.59468i	−0.0583078	−	0.217608i	0.930624	−	0.365976i	$-0.119265\pi$
$661$	−1.49909	−	5.59468i	−0.0583078	−	0.217608i	−0.988932	+	0.148368i	$0.952598\pi$
$662$	−30.2798	+	17.4821i	−1.17686	+	0.679459i
$663$	−23.5895	−	8.41502i	−0.916142	−	0.326812i
$664$			9.57832i			0.371711i
$665$	−0.324987	−	0.530494i	−0.0126025	−	0.0205717i
$666$	3.92762	+	6.80283i	0.152192	+	0.263604i
$667$	−40.9648	+	23.6511i	−1.58617	+	0.915773i
$668$	−0.165255	+	0.616740i	−0.00639391	+	0.0238624i
$669$	0.0775005	−	0.0775005i	0.00299634	−	0.00299634i
$670$	−7.68049	−	2.05798i	−0.296723	−	0.0795067i
$671$	2.73436	−	2.73436i	0.105559	−	0.105559i
$672$	2.90627	−	3.06173i	0.112112	−	0.118109i
$673$	−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	$0.634760\pi$
$674$	23.5071	+	23.5071i	0.905459	+	0.905459i
$675$	2.40992	+	4.17410i	0.0927578	+	0.160661i
$676$	1.30860	+	3.45680i	0.0503309	+	0.132954i
$677$	0.771810	+	0.445605i	0.0296631	+	0.0171260i	0.514758	−	0.857335i	$-0.327882\pi$
$677$	0.771810	+	0.445605i	0.0296631	+	0.0171260i	−0.485095	+	0.874461i	$0.661215\pi$
$678$	−2.31593	+	8.64317i	−0.0889428	+	0.331939i
$679$	−29.3626	+	30.9332i	−1.12683	+	1.18711i
$680$	7.64004	+	4.41098i	0.292982	+	0.169153i
$681$	−0.815721	−	3.04431i	−0.0312585	−	0.116658i
$682$	−10.8907	−	10.8907i	−0.417028	−	0.417028i
$683$	9.01592	+	9.01592i	0.344985	+	0.344985i	0.858238	−	0.513253i	$-0.171560\pi$
$683$	9.01592	+	9.01592i	0.344985	+	0.344985i	−0.513253	+	0.858238i	$0.671560\pi$
$684$	−0.0407667	−	0.152144i	−0.00155876	−	0.00581735i
$685$	−5.34208	−	3.08425i	−0.204110	−	0.117843i
$686$	−18.4399	−	15.7622i	−0.704038	−	0.601805i
$687$	4.14901	−	15.4843i	0.158295	−	0.590763i
$688$	21.7613	+	12.5639i	0.829641	+	0.478994i
$689$	−17.6480	−	20.7603i	−0.672337	−	0.790906i
$690$	−2.18014	−	3.77612i	−0.0829966	−	0.143754i
$691$	18.7650	+	18.7650i	0.713855	+	0.713855i	0.967340	−	0.253484i	$-0.0815766\pi$
$691$	18.7650	+	18.7650i	0.713855	+	0.713855i	−0.253484	+	0.967340i	$0.581577\pi$
$692$	−2.86655	+	1.65500i	−0.108970	+	0.0629138i
$693$	−3.60760	−	0.866630i	−0.137041	−	0.0329205i
$694$	2.16140	−	2.16140i	0.0820457	−	0.0820457i
$695$	−4.80446	−	1.28735i	−0.182244	−	0.0488320i
$696$	12.7607	−	12.7607i	0.483693	−	0.483693i
$697$	3.02041	−	11.2723i	0.114406	−	0.426969i
$698$	33.6448	−	19.4248i	1.27347	−	0.735241i
$699$	12.6185	+	21.8559i	0.477277	+	0.826668i
$700$	3.18610	+	1.73048i	0.120423	+	0.0654059i
$701$		−	0.589627i		−	0.0222699i	−0.999938	−	0.0111350i	$-0.996456\pi$
$701$		−	0.589627i		−	0.0222699i	0.999938	−	0.0111350i	$-0.00354444\pi$
$702$	−3.88589	−	2.68397i	−0.146663	−	0.101300i
$703$	2.87720	−	1.66115i	0.108516	−	0.0626515i
$704$	3.19068	+	11.9078i	0.120253	+	0.448792i
$705$		−	4.30625i		−	0.162183i
$706$	−2.86078	+	4.95502i	−0.107667	+	0.186485i
$707$	0.489802	+	18.8031i	0.0184209	+	0.707165i
$708$	0.503123	+	1.87768i	0.0189085	+	0.0705676i
$709$	0.917349	−	3.42359i	0.0344518	−	0.128576i	−0.946558	−	0.322533i	$-0.895466\pi$
$709$	0.917349	−	3.42359i	0.0344518	−	0.128576i	0.981010	+	0.193957i	$0.0621323\pi$
$710$	−2.08019	−	0.557384i	−0.0780680	−	0.0209183i
$711$	8.65392			0.324547
$712$	34.6677			1.29923
$713$	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
$717$	−4.91108	+	1.31592i	−0.183408	+	0.0491439i
$718$	14.0382	−	24.3149i	0.523902	−	0.907425i
$719$	3.90389	+	6.76173i	0.145590	+	0.252170i	0.929593	−	0.368587i	$-0.120158\pi$
$719$	3.90389	+	6.76173i	0.145590	+	0.252170i	−0.784003	+	0.620757i	$0.786825\pi$
$720$	1.00561	+	1.00561i	0.0374767	+	0.0374767i
$721$	0.708210	+	27.1877i	0.0263751	+	1.01252i
$722$	−23.6506	+	6.33717i	−0.880186	+	0.235845i
$723$	−2.94368	+	0.788756i	−0.109476	+	0.0293341i
$724$			0.113913i			0.00423355i
$725$	25.1755	+	14.5351i	0.934993	+	0.539819i
$726$	−8.36675	+	8.36675i	−0.310519	+	0.310519i
$727$	−7.63181			−0.283048			−0.141524	−	0.989935i	$-0.545200\pi$
$727$	−7.63181			−0.283048			−0.141524	+	0.989935i	$0.545200\pi$
$728$	−28.4999	−	1.56371i	−1.05628	−	0.0579550i
$729$	−1.00000			−0.0370370
$730$	4.50598	−	4.50598i	0.166774	−	0.166774i
$731$	−45.1161	−	26.0478i	−1.66868	−	0.963413i
$732$		−	0.784028i		−	0.0289785i
$733$	−12.0644	+	3.23266i	−0.445610	+	0.119401i	−0.474645	−	0.880178i	$-0.657423\pi$
$733$	−12.0644	+	3.23266i	−0.445610	+	0.119401i	0.0290344	+	0.999578i	$0.490757\pi$
$734$	−15.9470	+	4.27299i	−0.588615	+	0.157719i
$735$	−1.98871	+	2.20747i	−0.0733547	+	0.0814239i
$736$	−8.84837	−	8.84837i	−0.326155	−	0.326155i
$737$	10.0281	+	17.3692i	0.369389	+	0.639801i
$738$	1.10027	−	1.90572i	0.0405014	−	0.0701505i
$739$	−18.0770	+	4.84371i	−0.664972	+	0.178179i	−0.575489	−	0.817810i	$-0.695188\pi$
$739$	−18.0770	+	4.84371i	−0.664972	+	0.178179i	−0.0894831	+	0.995988i	$0.528522\pi$
$740$	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	$0.486556\pi$
$744$	−25.0887			−0.919796
$745$	2.67904			0.0981524
$746$	−20.1794	−	5.40706i	−0.738822	−	0.197967i
$747$	0.828534	−	3.09213i	0.0303145	−	0.113135i
$748$	−0.716834	−	2.67526i	−0.0262100	−	0.0978172i
$749$	−10.1394	+	6.21154i	−0.370486	+	0.226965i
$750$	−2.72975	+	4.72807i	−0.0996764	+	0.172645i
$751$			1.91061i			0.0697190i	0.999392	+	0.0348595i	$0.0110984\pi$
$751$			1.91061i			0.0697190i	−0.999392	+	0.0348595i	$0.988902\pi$
$752$	8.79784	+	32.8340i	0.320824	+	1.19733i
$753$	−6.27826	+	3.62476i	−0.228793	+	0.132093i
$754$	−28.3911	−	2.30059i	−1.03394	−	0.0837826i
$755$		−	2.40595i		−	0.0875616i
$756$	−0.641450	+	0.392961i	−0.0233293	+	0.0142918i
$757$	−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	$-0.549094\pi$
$758$	38.8306	−	22.4189i	1.41039	−	0.814289i
$759$	−2.84652	+	10.6234i	−0.103322	+	0.385603i
$760$	0.497496	−	0.497496i	0.0180461	−	0.0180461i
$761$	−24.1952	−	6.48309i	−0.877076	−	0.235012i	−0.207931	−	0.978143i	$-0.566673\pi$
$761$	−24.1952	−	6.48309i	−0.877076	−	0.235012i	−0.669145	+	0.743132i	$0.733340\pi$
$762$	0.778405	−	0.778405i	0.0281986	−	0.0281986i
$763$	11.5171	−	3.40980i	0.416946	−	0.123443i
$764$	−2.52441	+	1.45747i	−0.0913301	+	0.0527295i
$765$	−2.08485	−	2.08485i	−0.0753779	−	0.0753779i
$766$	−8.54586	−	14.8019i	−0.308774	−	0.534813i
$767$	14.0096	−	20.2833i	0.505857	−	0.732388i
$768$	5.78445	+	3.33965i	0.208728	+	0.120509i
$769$	10.9969	−	41.0409i	0.396558	−	1.47997i	−0.422553	−	0.906338i	$-0.638866\pi$
$769$	10.9969	−	41.0409i	0.396558	−	1.47997i	0.819111	−	0.573635i	$-0.194467\pi$
$770$	−0.585586	−	1.97790i	−0.0211031	−	0.0712785i
$771$	9.93067	+	5.73347i	0.357644	+	0.206486i
$772$	−0.659552	−	2.46148i	−0.0237378	−	0.0885906i
$773$	18.6449	+	18.6449i	0.670609	+	0.670609i	0.957856	−	0.287248i	$-0.0927403\pi$
$773$	18.6449	+	18.6449i	0.670609	+	0.670609i	−0.287248	+	0.957856i	$0.592740\pi$
$774$	−6.94617	−	6.94617i	−0.249675	−	0.249675i
$775$	−10.4600	−	39.0372i	−0.375734	−	1.40226i
$776$	−41.7711	−	24.1166i	−1.49950	−	0.865734i
$777$	−11.5079	−	10.9236i	−0.412844	−	0.391882i
$778$	5.80341	−	21.6586i	0.208062	−	0.776500i
$779$	−0.806008	−	0.465349i	−0.0288782	−	0.0166728i
$780$	−0.0351439	+	0.433704i	−0.00125835	+	0.0155291i
$781$	2.71601	+	4.70427i	0.0971865	+	0.168332i
$782$	−50.4577	−	50.4577i	−1.80437	−	1.80437i
$783$	−5.22330	+	3.01567i	−0.186666	+	0.107771i
$784$	10.6534	−	20.8944i	0.380480	−	0.746228i
$785$	−1.40401	+	1.40401i	−0.0501113	+	0.0501113i
$786$	−22.8843	−	6.13184i	−0.816257	−	0.218715i
$787$	−37.4963	+	37.4963i	−1.33660	+	1.33660i	−0.437270	+	0.899330i	$0.644055\pi$
$787$	−37.4963	+	37.4963i	−1.33660	+	1.33660i	−0.899330	+	0.437270i	$0.855945\pi$
$788$	0.308002	−	1.14948i	0.0109721	−	0.0409485i
$789$	−14.3654	+	8.29386i	−0.511421	+	0.295269i
$790$	2.40565	+	4.16670i	0.0855891	+	0.148245i
$791$	−0.470656	−	18.0681i	−0.0167346	−	0.642429i
$792$		−	4.19592i		−	0.149095i
$793$	−7.57519	+	6.43955i	−0.269003	+	0.228675i
$794$	10.9966	−	6.34890i	0.390256	−	0.225314i
$795$	−0.830209	−	3.09838i	−0.0294445	−	0.109888i
$796$			0.0207987i			0.000737189i
$797$	23.6844	−	41.0227i	0.838946	−	1.45310i	−0.0518307	−	0.998656i	$-0.516506\pi$
$797$	23.6844	−	41.0227i	0.838946	−	1.45310i	0.890777	−	0.454441i	$-0.150161\pi$
$798$	−1.00289	−	1.63707i	−0.0355019	−	0.0579516i
$799$	−18.2399	−	68.0724i	−0.645283	−	2.40823i
$800$	−1.99040	+	7.42828i	−0.0703713	+	0.262629i
$801$	−11.1916	−	2.99879i	−0.395437	−	0.105957i
$802$	10.0821			0.356013
$803$	−16.0734			−0.567218
$804$	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
$808$	−20.5470	+	5.50554i	−0.722840	+	0.193684i
$809$	−5.86227	+	10.1538i	−0.206107	+	0.356987i	−0.950485	−	0.310771i	$-0.899413\pi$
$809$	−5.86227	+	10.1538i	−0.206107	+	0.356987i	0.744378	+	0.667758i	$0.232746\pi$
$810$	−0.277983	−	0.481481i	−0.00976734	−	0.0169175i
$811$	−9.09842	−	9.09842i	−0.319489	−	0.319489i	0.529082	−	0.848571i	$-0.322536\pi$
$811$	−9.09842	−	9.09842i	−0.319489	−	0.319489i	−0.848571	+	0.529082i	$0.822536\pi$
$812$	−2.16545	+	3.98696i	−0.0759923	+	0.139915i
$813$	−22.8094	+	6.11175i	−0.799959	+	0.214348i
$814$	10.6403	−	2.85107i	0.372943	−	0.0999298i
$815$			5.11011i			0.178999i
$816$	20.1558	+	11.6370i	0.705596	+	0.407376i
$817$	−2.93782	+	2.93782i	−0.102781	+	0.102781i
$818$	4.04419			0.141402
$819$	9.06524	+	2.97007i	0.316765	+	0.103783i
$820$	−0.202747			−0.00708022
$821$	−34.0250	+	34.0250i	−1.18748	+	1.18748i	−0.209718	+	0.977762i	$0.567255\pi$
$821$	−34.0250	+	34.0250i	−1.18748	+	1.18748i	−0.977762	+	0.209718i	$0.932745\pi$
$822$	−16.4853	−	9.51780i	−0.574991	−	0.331971i
$823$		−	16.4408i		−	0.573091i	−0.958067	−	0.286545i	$-0.907493\pi$
$823$		−	16.4408i		−	0.573091i	0.958067	−	0.286545i	$-0.0925069\pi$
$824$	−29.7091	+	7.96052i	−1.03496	+	0.277318i
$825$	6.52872	−	1.74937i	0.227301	−	0.0609051i
$826$	12.3772	+	20.2039i	0.430657	+	0.702984i
$827$	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	$0.606803\pi$
$828$	1.11493	+	1.93112i	0.0387465	+	0.0671110i
$829$	17.4550	−	30.2330i	0.606239	−	1.05004i	−0.385616	−	0.922660i	$-0.626011\pi$
$829$	17.4550	−	30.2330i	0.606239	−	1.05004i	0.991854	−	0.127377i	$-0.0406558\pi$
$830$	1.71912	−	0.460637i	0.0596716	−	0.0159890i
$831$	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
$835$	0.953186			0.0329864
$836$	−0.220883			−0.00763939
$837$	8.09928	+	2.17020i	0.279952	+	0.0750130i
$838$	0.897988	−	3.35134i	0.0310205	−	0.115770i
$839$	−11.7730	−	43.9373i	−0.406448	−	1.51689i	−0.801369	−	0.598170i	$-0.795895\pi$
$839$	−11.7730	−	43.9373i	−0.406448	−	1.51689i	0.394921	−	0.918715i	$-0.370772\pi$
$840$	−2.95271	−	1.60372i	−0.101878	−	0.0553335i
$841$	−3.68858	+	6.38881i	−0.127192	+	0.220304i
$842$			16.6061i			0.572283i
$843$	−2.78350	−	10.3882i	−0.0958689	−	0.357788i
$844$	−5.10860	+	2.94945i	−0.175845	+	0.101524i
$845$	4.47905	−	3.22264i	0.154084	−	0.110862i
$846$		−	13.2888i		−	0.456879i
$847$	11.4071	−	21.0024i	0.391953	−	0.721651i
$848$	12.6602	+	21.9282i	0.434754	+	0.753017i
$849$	11.3379	−	6.54596i	0.389117	−	0.224657i
$850$	−11.3502	+	42.3597i	−0.389310	+	1.45293i
$851$	−33.2577	+	33.2577i	−1.14006	+	1.14006i
$852$	1.06381	+	0.285048i	0.0364456	+	0.00976558i
$853$	21.3746	−	21.3746i	0.731852	−	0.731852i	−0.239134	−	0.970987i	$-0.576864\pi$
$853$	21.3746	−	21.3746i	0.731852	−	0.731852i	0.970987	+	0.239134i	$0.0768636\pi$
$854$	−2.71286	−	9.16307i	−0.0928322	−	0.313554i
$855$	−0.203638	+	0.117571i	−0.00696428	+	0.00402083i
$856$	−9.50872	−	9.50872i	−0.325001	−	0.325001i
$857$	25.9528	+	44.9515i	0.886530	+	1.53552i	0.843950	+	0.536422i	$0.180225\pi$
$857$	25.9528	+	44.9515i	0.886530	+	1.53552i	0.0425805	+	0.999093i	$0.486442\pi$
$858$	−5.04596	+	4.28949i	−0.172266	+	0.146441i
$859$	−38.6675	−	22.3247i	−1.31932	−	0.761708i	−0.335699	−	0.941969i	$-0.608972\pi$
$859$	−38.6675	−	22.3247i	−1.31932	−	0.761708i	−0.983619	+	0.180261i	$0.942306\pi$
$860$	−0.234251	+	0.874237i	−0.00798789	+	0.0298112i
$861$	−1.03823	+	4.32192i	−0.0353827	+	0.147291i
$862$	13.1585	+	7.59707i	0.448181	+	0.258757i
$863$	9.68381	+	36.1405i	0.329641	+	1.23024i	0.909564	+	0.415565i	$0.136416\pi$
$863$	9.68381	+	36.1405i	0.329641	+	1.23024i	−0.579923	+	0.814671i	$0.696917\pi$
$864$	−1.12823	−	1.12823i	−0.0383831	−	0.0383831i
$865$	3.49408	+	3.49408i	0.118802	+	0.118802i
$866$	−0.735671	−	2.74556i	−0.0249991	−	0.0932980i
$867$	−27.0652	−	15.6261i	−0.919184	−	0.530691i
$868$	6.04809	−	1.79063i	0.205286	−	0.0607778i
$869$	3.14095	−	11.7222i	0.106549	−	0.397648i
$870$	−2.90398	−	1.67661i	−0.0984542	−	0.0568425i
$871$	−22.0921	−	46.5945i	−0.748564	−	1.57879i
$872$	6.79178	+	11.7637i	0.229999	+	0.398369i
$873$	11.3987	+	11.3987i	0.385787	+	0.385787i
$874$	−4.92848	+	2.84546i	−0.166708	+	0.0962490i
$875$	2.57583	−	10.7226i	0.0870789	−	0.362491i
$876$	−2.30437	+	2.30437i	−0.0778575	+	0.0778575i
$877$	−30.5935	−	8.19750i	−1.03307	−	0.276810i	−0.297830	−	0.954619i	$-0.596263\pi$
$877$	−30.5935	−	8.19750i	−1.03307	−	0.276810i	−0.735238	+	0.677809i	$0.762930\pi$
$878$	−19.2057	+	19.2057i	−0.648161	+	0.648161i
$879$	1.63802	−	6.11317i	0.0552490	−	0.206192i
$880$	1.72713	−	0.997159i	0.0582215	−	0.0336142i
$881$	−19.0003	−	32.9095i	−0.640138	−	1.10875i	−0.985402	−	0.170245i	$-0.945544\pi$
$881$	−19.0003	−	32.9095i	−0.640138	−	1.10875i	0.345264	−	0.938506i	$-0.387789\pi$
$882$	−6.13704	+	6.81212i	−0.206645	+	0.229376i
$883$			17.8135i			0.599473i	0.954022	+	0.299736i	$0.0968987\pi$
$883$			17.8135i			0.599473i	−0.954022	+	0.299736i	$0.903101\pi$
$884$	1.28149	+	7.00477i	0.0431011	+	0.235596i
$885$	2.51321	−	1.45100i	0.0844805	−	0.0487748i
$886$	−6.35155	−	23.7043i	−0.213384	−	0.796361i
$887$		−	52.8690i		−	1.77517i	−0.460648	−	0.887583i	$-0.652383\pi$
$887$		−	52.8690i		−	1.77517i	0.460648	−	0.887583i	$-0.347617\pi$
$888$	8.97195	−	15.5399i	0.301079	−	0.521484i
$889$	−1.06127	+	1.95397i	−0.0355937	+	0.0655340i
$890$	−1.66723	−	6.22218i	−0.0558856	−	0.208568i
$891$	−0.362951	+	1.35455i	−0.0121593	+	0.0453792i
$892$	−0.0301006	−	0.00806543i	−0.00100784	−	0.000270051i
$893$	−5.62039			−0.188079
$894$	8.26734			0.276501
$895$	−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
$899$	48.8496	−	13.0892i	1.62923	−	0.436550i
$900$	0.685195	−	1.18679i	0.0228398	−	0.0395598i
$901$	−26.2476	−	45.4621i	−0.874434	−	1.51456i
$902$	−2.18205	−	2.18205i	−0.0726544	−	0.0726544i
$903$	17.4364	+	9.47030i	0.580248	+	0.315152i
$904$	19.7438	−	5.29034i	0.656669	−	0.175954i
$905$	0.164262	−	0.0440139i	0.00546025	−	0.00146307i
$906$		−	7.42461i		−	0.246666i
$907$	33.3744	+	19.2687i	1.10818	+	0.639808i	0.938357	−	0.345666i	$-0.112347\pi$
$907$	33.3744	+	19.2687i	1.10818	+	0.639808i	0.169823	+	0.985475i	$0.445680\pi$
$908$	−0.633640	+	0.633640i	−0.0210281	+	0.0210281i
$909$	7.10933			0.235802
$910$	1.08995	+	5.19038i	0.0361315	+	0.172059i
$911$	−11.2153			−0.371581			−0.185790	−	0.982589i	$-0.559485\pi$
$911$	−11.2153			−0.371581			−0.185790	+	0.982589i	$0.559485\pi$
$912$	1.31249	−	1.31249i	0.0434607	−	0.0434607i
$913$	−3.88773	−	2.24458i	−0.128665	−	0.0742849i
$914$			31.8410i			1.05321i
$915$	−1.13056	+	0.302933i	−0.0373752	+	0.0100147i
$916$	−4.40255	+	1.17966i	−0.145464	+	0.0389770i
$917$	47.8386	−	1.24615i	1.57977	−	0.0411513i
$918$	−6.43371	−	6.43371i	−0.212344	−	0.212344i
$919$	23.0555	+	39.9334i	0.760532	+	1.31728i	0.942577	+	0.333990i	$0.108395\pi$
$919$	23.0555	+	39.9334i	0.760532	+	1.31728i	−0.182045	+	0.983290i	$0.558272\pi$
$920$	−4.98015	+	8.62588i	−0.164191	+	0.284387i
$921$	1.27163	−	0.340733i	0.0419018	−	0.0112275i
$922$	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
$926$	9.25506			0.304140
$927$	10.2795			0.337622
$928$	−9.29544	−	2.49071i	−0.305138	−	0.0817614i
$929$	0.331311	−	1.23647i	0.0108700	−	0.0405673i	−0.960278	−	0.279046i	$-0.909982\pi$
$929$	0.331311	−	1.23647i	0.0108700	−	0.0405673i	0.971148	+	0.238478i	$0.0766486\pi$
$930$	1.20656	+	4.50293i	0.0395646	+	0.147657i
$931$	2.88113	+	2.59561i	0.0944251	+	0.0850676i
$932$	3.58774	−	6.21415i	0.117520	−	0.203551i
$933$			30.5263i			0.999387i
$934$	2.92987	+	10.9344i	0.0958682	+	0.357785i
$935$	−3.58073	+	2.06734i	−0.117103	+	0.0676092i
$936$	−0.871330	+	10.7529i	−0.0284803	+	0.351470i
$937$			33.7512i			1.10261i	0.834305	+	0.551303i	$0.185869\pi$
$937$			33.7512i			1.10261i	−0.834305	+	0.551303i	$0.814131\pi$
$938$	49.5468	−	1.29064i	1.61776	−	0.0421410i
$939$	9.18705	+	15.9124i	0.299808	+	0.519283i
$940$	−1.06033	+	0.612183i	−0.0345842	+	0.0199672i
$941$	−9.79130	+	36.5416i	−0.319187	+	1.19122i	0.600840	+	0.799369i	$0.294833\pi$
$941$	−9.79130	+	36.5416i	−0.319187	+	1.19122i	−0.920027	+	0.391854i	$0.871834\pi$
$942$	−4.33269	+	4.33269i	−0.141167	+	0.141167i
$943$	12.7268	+	3.41015i	0.414443	+	0.111050i
$944$	−16.1981	+	16.1981i	−0.527202	+	0.527202i
$945$	0.814490	+	0.773134i	0.0264954	+	0.0251501i
$946$	−11.9301	+	6.88782i	−0.387880	+	0.223942i
$947$	−8.67668	−	8.67668i	−0.281954	−	0.281954i	0.551934	−	0.833888i	$-0.313890\pi$
$947$	−8.67668	−	8.67668i	−0.281954	−	0.281954i	−0.833888	+	0.551934i	$0.813890\pi$
$948$	−1.23025	−	2.13086i	−0.0399568	−	0.0692072i
$949$	41.1914	+	3.33782i	1.33713	+	0.108350i
$950$	3.02886	+	1.74871i	0.0982691	+	0.0567357i
$951$	−4.00188	+	14.9352i	−0.129770	+	0.484307i
$952$	−53.4688	−	12.8445i	−1.73293	−	0.416291i
$953$	−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	$0.806652\pi$
$954$	−2.56197	−	9.56141i	−0.0829469	−	0.309562i
$955$	3.07705	+	3.07705i	0.0995709	+	0.0995709i
$956$	1.02219	+	1.02219i	0.0330599	+	0.0330599i
$957$	2.18908	+	8.16977i	0.0707630	+	0.264091i
$958$	28.8448	+	16.6535i	0.931932	+	0.538051i
$959$	37.3865	+	8.98112i	1.20727	+	0.290015i
$960$	0.965746	−	3.60421i	0.0311693	−	0.116325i
$961$	−34.0418	−	19.6541i	−1.09812	−	0.634002i
$962$	−27.8601	+	5.09686i	−0.898245	+	0.164329i
$963$	2.24715	+	3.89218i	0.0724134	+	0.125424i
$964$	0.612693	+	0.612693i	0.0197335	+	0.0197335i
$965$	−3.29460	+	1.90214i	−0.106057	+	0.0612319i
$966$	19.7124	+	18.7115i	0.634235	+	0.602032i
$967$	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	$0.109184\pi$
$968$	26.1080	+	6.99561i	0.839142	+	0.224847i
$969$	−2.72108	+	2.72108i	−0.0874138	+	0.0874138i
$970$	−2.31961	+	8.65690i	−0.0744782	+	0.277956i
$971$	15.1611	−	8.75326i	0.486542	−	0.280905i	−0.236597	−	0.971608i	$-0.576032\pi$
$971$	15.1611	−	8.75326i	0.486542	−	0.280905i	0.723139	+	0.690703i	$0.242699\pi$
$972$	0.142161	+	0.246231i	0.00455983	+	0.00789786i
$973$	30.9936	−	0.807350i	0.993608	−	0.0258825i
$974$		−	24.2812i		−	0.778019i
$975$	−17.0945	+	3.12735i	−0.547461	+	0.100155i
$976$	8.00132	−	4.61957i	0.256116	−	0.147869i
$977$	4.51447	+	16.8482i	0.144431	+	0.539023i	0.999780	+	0.0209713i	$0.00667587\pi$
$977$	4.51447	+	16.8482i	0.144431	+	0.539023i	−0.855349	+	0.518052i	$0.826657\pi$
$978$			15.7695i			0.504252i
$979$	−8.12404	+	14.0712i	−0.259645	+	0.449719i
$980$	0.826266	+	0.175865i	0.0263941	+	0.00561779i
$981$	−1.17499	−	4.38513i	−0.0375146	−	0.140006i
$982$	9.80556	−	36.5949i	0.312908	−	1.16779i
$983$	−36.1248	−	9.67960i	−1.15220	−	0.308731i	−0.368354	−	0.929685i	$-0.620079\pi$
$983$	−36.1248	−	9.67960i	−1.15220	−	0.308731i	−0.783847	+	0.620954i	$0.786745\pi$
$984$	−5.02673			−0.160246
$985$	−1.77655			−0.0566054
$986$	−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
$990$	−0.753085	+	0.201789i	−0.0239346	+	0.00641326i
$991$	−7.56709	+	13.1066i	−0.240377	+	0.416344i	−0.960822	−	0.277168i	$-0.910604\pi$
$991$	−7.56709	+	13.1066i	−0.240377	+	0.416344i	0.720445	+	0.693512i	$0.243938\pi$
$992$	6.68936	+	11.5863i	0.212387	+	0.367866i
$993$	−18.8751	−	18.8751i	−0.598984	−	0.598984i
$994$	13.4193	−	0.349558i	0.425634	−	0.0110873i
$995$	0.0299915	−	0.00803620i	0.000950795	−	0.000254765i
$996$	−0.879164	+	0.235571i	−0.0278574	+	0.00746436i
$997$			43.0361i			1.36297i	0.731834	+	0.681483i	$0.238665\pi$
$997$			43.0361i			1.36297i	−0.731834	+	0.681483i	$0.761335\pi$
$998$	32.8194	+	18.9483i	1.03888	+	0.599798i
$999$	−4.24059	+	4.24059i	−0.134166	+	0.134166i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.a.145.3	✓	36	1.1	even	1	trivial
273.2.bt.a.241.3	yes	36	91.59	even	12	inner
273.2.cg.a.124.3	yes	36	13.7	odd	12
273.2.cg.a.262.3	yes	36	7.3	odd	6
819.2.et.c.145.7		36	3.2	odd	2
819.2.et.c.514.7		36	273.59	odd	12
819.2.gh.c.262.7		36	21.17	even	6
819.2.gh.c.397.7		36	39.20	even	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.bt (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.926196 + 0.926196i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.284323i q^{4} +(0.409991 - 0.109857i) q^{5} +(1.26521 - 0.339011i) q^{6} +(-2.25606 + 1.38209i) q^{7} +(-2.11573 - 2.11573i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.926196 + 0.926196i) q^{2} +(-0.866025 - 0.500000i) q^{3} +0.284323i q^{4} +(0.409991 - 0.109857i) q^{5} +(1.26521 - 0.339011i) q^{6} +(-2.25606 + 1.38209i) q^{7} +(-2.11573 - 2.11573i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.277983 + 0.481481i) q^{10} +(1.35455 - 0.362951i) 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} +3.35051 q^{16} -6.94638 q^{17} +(-1.26521 - 0.339011i) q^{18} +(-0.143382 + 0.535108i) q^{19} +(0.0312348 + 0.116570i) q^{20} +(2.64485 - 0.0688957i) q^{21} +(-0.918416 + 1.59074i) q^{22} -7.84271i q^{23} +(0.774411 + 2.89014i) q^{24} +(-4.17410 + 2.40992i) q^{25} +(2.68397 - 3.88589i) q^{26} -1.00000i q^{27} +(-0.392961 - 0.641450i) q^{28} +(-3.01567 - 5.22330i) q^{29} +(0.481481 - 0.277983i) q^{30} +(-2.17020 + 8.09928i) q^{31} +(1.12823 - 1.12823i) q^{32} +(-1.35455 - 0.362951i) q^{33} +(6.43371 - 6.43371i) q^{34} +(-0.773134 + 0.814490i) q^{35} +(-0.246231 + 0.142161i) q^{36} +(-4.24059 - 4.24059i) q^{37} +(-0.362815 - 0.628415i) q^{38} +(3.39595 + 1.21142i) q^{39} +(-1.09986 - 0.635004i) q^{40} +(-0.434817 + 1.62276i) q^{41} +(-2.38584 + 2.51346i) q^{42} +(6.49491 + 3.74984i) q^{43} +(0.103195 + 0.385130i) q^{44} +(0.300135 + 0.300135i) q^{45} +(7.26389 + 7.26389i) q^{46} +(2.62582 + 9.79969i) q^{47} +(-2.90163 - 1.67526i) q^{48} +(3.17964 - 6.23618i) q^{49} +(1.63398 - 6.09809i) q^{50} +(6.01574 + 3.47319i) q^{51} +(-0.184483 - 1.00840i) q^{52} +(3.77860 + 6.54472i) q^{53} +(0.926196 + 0.926196i) q^{54} +(0.515482 - 0.297614i) q^{55} +(7.69736 + 1.84909i) q^{56} +(0.391726 - 0.391726i) q^{57} +(7.63090 + 2.04469i) q^{58} +(-4.83450 + 4.83450i) q^{59} +(0.0312348 - 0.116570i) q^{60} +(2.38809 - 1.37876i) q^{61} +(-5.49149 - 9.51155i) q^{62} +(-2.32496 - 1.26276i) q^{63} +8.79095i q^{64} +(-1.38283 + 0.655650i) q^{65} +(1.59074 - 0.918416i) q^{66} +(3.70163 + 13.8147i) q^{67} -1.97502i q^{68} +(-3.92136 + 6.79199i) q^{69} +(-0.0383037 - 1.47045i) q^{70} +(1.00255 + 3.74157i) q^{71} +(0.774411 - 2.89014i) q^{72} +(-11.0713 - 2.96655i) q^{73} +7.85524 q^{74} +4.81984 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} +(1.37368 - 0.368077i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-1.10027 - 1.90572i) q^{82} +(-2.26360 - 2.26360i) q^{83} +(0.0195886 + 0.751993i) q^{84} +(-2.84796 + 0.763108i) q^{85} +(-9.48864 + 2.54247i) q^{86} +6.03135i q^{87} +(-3.63377 - 2.09796i) q^{88} +(-8.19285 + 8.19285i) q^{89} -0.555967 q^{90} +(7.10478 - 6.36569i) q^{91} +2.22986 q^{92} +(5.92909 - 5.92909i) q^{93} +(-11.5085 - 6.64441i) q^{94} +0.235141i q^{95} +(-1.54119 + 0.412960i) q^{96} +(15.5709 - 4.17221i) q^{97} +(2.83095 + 8.72089i) q^{98} +(0.991601 + 0.991601i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 6 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 6 * q^7 + 18 * q^9	\( 36 q + 6 q^{7} + 18 q^{9} - 8 q^{11} - 16 q^{12} + 42 q^{14} - 24 q^{16} - 8 q^{17} - 18 q^{19} + 14 q^{20} - 4 q^{21} + 4 q^{22} + 18 q^{24} + 24 q^{25} - 50 q^{26} + 34 q^{28} + 8 q^{29} + 6 q^{31} - 50 q^{32} + 8 q^{33} - 24 q^{34} + 14 q^{35} - 14 q^{37} - 8 q^{38} - 2 q^{39} - 30 q^{40} + 34 q^{41} - 18 q^{42} + 30 q^{43} + 28 q^{44} - 32 q^{46} - 10 q^{47} + 24 q^{48} + 6 q^{49} - 20 q^{50} - 24 q^{51} + 4 q^{52} - 8 q^{53} - 30 q^{55} - 92 q^{56} - 24 q^{57} + 72 q^{58} - 70 q^{59} + 14 q^{60} - 60 q^{61} - 48 q^{62} + 6 q^{63} - 44 q^{65} + 18 q^{66} - 46 q^{67} + 4 q^{69} + 80 q^{70} + 42 q^{71} + 18 q^{72} - 56 q^{73} + 40 q^{74} - 20 q^{75} + 12 q^{76} + 24 q^{77} - 16 q^{78} + 170 q^{80} - 18 q^{81} + 24 q^{82} - 60 q^{83} + 2 q^{85} + 12 q^{86} + 84 q^{88} + 64 q^{89} - 86 q^{91} - 100 q^{92} + 12 q^{93} - 66 q^{94} + 46 q^{96} + 36 q^{97} - 22 q^{98} - 4 q^{99}+O(q^{100}) \) 36 * q + 6 * q^7 + 18 * q^9 - 8 * q^11 - 16 * q^12 + 42 * q^14 - 24 * q^16 - 8 * q^17 - 18 * q^19 + 14 * q^20 - 4 * q^21 + 4 * q^22 + 18 * q^24 + 24 * q^25 - 50 * q^26 + 34 * q^28 + 8 * q^29 + 6 * q^31 - 50 * q^32 + 8 * q^33 - 24 * q^34 + 14 * q^35 - 14 * q^37 - 8 * q^38 - 2 * q^39 - 30 * q^40 + 34 * q^41 - 18 * q^42 + 30 * q^43 + 28 * q^44 - 32 * q^46 - 10 * q^47 + 24 * q^48 + 6 * q^49 - 20 * q^50 - 24 * q^51 + 4 * q^52 - 8 * q^53 - 30 * q^55 - 92 * q^56 - 24 * q^57 + 72 * q^58 - 70 * q^59 + 14 * q^60 - 60 * q^61 - 48 * q^62 + 6 * q^63 - 44 * q^65 + 18 * q^66 - 46 * q^67 + 4 * q^69 + 80 * q^70 + 42 * q^71 + 18 * q^72 - 56 * q^73 + 40 * q^74 - 20 * q^75 + 12 * q^76 + 24 * q^77 - 16 * q^78 + 170 * q^80 - 18 * q^81 + 24 * q^82 - 60 * q^83 + 2 * q^85 + 12 * q^86 + 84 * q^88 + 64 * q^89 - 86 * q^91 - 100 * q^92 + 12 * q^93 - 66 * q^94 + 46 * q^96 + 36 * q^97 - 22 * q^98 - 4 * q^99

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