LMFDB - Embedded newform 370.2.o.d.181.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

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

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			181.1
Character	$\chi$	$=$	370.181
Dual form			370.2.o.d.231.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 - 0.984808i) q^{2} +(-0.471123 - 2.67187i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} -2.71309 q^{6} +(-2.35481 + 1.97592i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.09785 + 1.49149i) q^{9} +O(q^{10})$	\(q+(0.173648 - 0.984808i) q^{2} +(-0.471123 - 2.67187i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} -2.71309 q^{6} +(-2.35481 + 1.97592i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.09785 + 1.49149i) q^{9} +(0.500000 + 0.866025i) q^{10} +(0.806645 - 1.39715i) q^{11} +(-0.471123 + 2.67187i) q^{12} +(-2.63836 - 0.960283i) q^{13} +(1.53699 + 2.66215i) q^{14} +(2.07834 + 1.74394i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-6.59070 + 2.39882i) q^{17} +(0.757252 + 4.29459i) q^{18} +(-0.994442 - 5.63976i) q^{19} +(0.939693 - 0.342020i) q^{20} +(6.38881 + 5.36085i) q^{21} +(-1.23585 - 1.03700i) q^{22} +(1.56951 + 2.71847i) q^{23} +(2.54947 + 0.927930i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-1.40384 + 2.43152i) q^{26} +(1.84604 + 3.19743i) q^{27} +(2.88860 - 1.05137i) q^{28} +(4.19281 - 7.26216i) q^{29} +(2.07834 - 1.74394i) q^{30} +5.98911 q^{31} +(0.766044 - 0.642788i) q^{32} +(-4.11303 - 1.49702i) q^{33} +(1.21791 + 6.90713i) q^{34} +(0.533792 - 3.02729i) q^{35} +4.36084 q^{36} +(3.90236 + 4.66601i) q^{37} -5.72676 q^{38} +(-1.32276 + 7.50175i) q^{39} +(-0.173648 - 0.984808i) q^{40} +(-8.76693 - 3.19090i) q^{41} +(6.38881 - 5.36085i) q^{42} -5.86458 q^{43} +(-1.23585 + 1.03700i) q^{44} +(2.18042 - 3.77660i) q^{45} +(2.94971 - 1.07361i) q^{46} +(-1.49160 - 2.58354i) q^{47} +(1.35654 - 2.34960i) q^{48} +(0.425334 - 2.41219i) q^{49} +(-0.939693 - 0.342020i) q^{50} +(9.51436 + 16.4794i) q^{51} +(2.15081 + 1.80474i) q^{52} +(-10.0813 - 8.45924i) q^{53} +(3.46941 - 1.26276i) q^{54} +(0.280145 + 1.58878i) q^{55} +(-0.533792 - 3.02729i) q^{56} +(-14.6002 + 5.31404i) q^{57} +(-6.42376 - 5.39017i) q^{58} +(-1.51049 - 1.26746i) q^{59} +(-1.35654 - 2.34960i) q^{60} +(-7.12980 - 2.59504i) q^{61} +(1.04000 - 5.89812i) q^{62} +(6.70258 - 11.6092i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(2.63836 - 0.960283i) q^{65} +(-2.18850 + 3.79059i) q^{66} +(5.33208 - 4.47415i) q^{67} +7.01368 q^{68} +(6.52396 - 5.47425i) q^{69} +(-2.88860 - 1.05137i) q^{70} +(0.264714 + 1.50127i) q^{71} +(0.757252 - 4.29459i) q^{72} -4.15584 q^{73} +(5.27276 - 3.03283i) q^{74} -2.71309 q^{75} +(-0.994442 + 5.63976i) q^{76} +(0.861162 + 4.88389i) q^{77} +(7.15809 + 2.60533i) q^{78} +(1.91309 - 1.60527i) q^{79} -1.00000 q^{80} +(-2.34839 + 1.97053i) q^{81} +(-4.66479 + 8.07965i) q^{82} +(8.44362 - 3.07323i) q^{83} +(-4.17000 - 7.22265i) q^{84} +(3.50684 - 6.07403i) q^{85} +(-1.01837 + 5.77548i) q^{86} +(-21.3789 - 7.78127i) q^{87} +(0.806645 + 1.39715i) q^{88} +(-1.48166 - 1.24326i) q^{89} +(-3.34060 - 2.80309i) q^{90} +(8.11027 - 2.95190i) q^{91} +(-0.545085 - 3.09133i) q^{92} +(-2.82161 - 16.0021i) q^{93} +(-2.80330 + 1.02032i) q^{94} +(4.38696 + 3.68109i) q^{95} +(-2.07834 - 1.74394i) q^{96} +(6.09135 + 10.5505i) q^{97} +(-2.30168 - 0.837744i) q^{98} +(-1.22167 + 6.92841i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	$ 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) $ 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$3$	−0.471123	−	2.67187i	−0.272003	−	1.54260i	−0.748324	−	0.663333i	$-0.769141\pi$
$3$	−0.471123	−	2.67187i	−0.272003	−	1.54260i	0.476322	−	0.879271i	$-0.341970\pi$
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	−0.766044	+	0.642788i	−0.342585	+	0.287463i
$5$	−0.766044	+	0.642788i	−0.342585	+	0.287463i
$6$	−2.71309			−1.10761
$7$	−2.35481	+	1.97592i	−0.890035	+	0.746828i	−0.968217	−	0.250111i	$-0.919533\pi$
$7$	−2.35481	+	1.97592i	−0.890035	+	0.746828i	0.0781822	+	0.996939i	$0.475088\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−4.09785	+	1.49149i	−1.36595	+	0.497165i
$10$	0.500000	+	0.866025i	0.158114	+	0.273861i
$11$	0.806645	−	1.39715i	0.243213	−	0.421257i	−0.718415	−	0.695615i	$-0.755132\pi$
$11$	0.806645	−	1.39715i	0.243213	−	0.421257i	0.961628	+	0.274358i	$0.0884654\pi$
$12$	−0.471123	+	2.67187i	−0.136001	+	0.771302i
$13$	−2.63836	−	0.960283i	−0.731748	−	0.266335i	−0.0508435	−	0.998707i	$-0.516191\pi$
$13$	−2.63836	−	0.960283i	−0.731748	−	0.266335i	−0.680905	+	0.732372i	$0.738413\pi$
$14$	1.53699	+	2.66215i	0.410779	+	0.711490i
$15$	2.07834	+	1.74394i	0.536626	+	0.450283i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−6.59070	+	2.39882i	−1.59848	+	0.581799i	−0.979116	−	0.203304i	$-0.934832\pi$
$17$	−6.59070	+	2.39882i	−1.59848	+	0.581799i	−0.619365	+	0.785103i	$0.712610\pi$
$18$	0.757252	+	4.29459i	0.178486	+	1.01224i
$19$	−0.994442	−	5.63976i	−0.228141	−	1.29385i	−0.856589	−	0.515999i	$-0.827421\pi$
$19$	−0.994442	−	5.63976i	−0.228141	−	1.29385i	0.628448	−	0.777851i	$-0.283690\pi$
$20$	0.939693	−	0.342020i	0.210122	−	0.0764780i
$21$	6.38881	+	5.36085i	1.39415	+	1.16983i
$22$	−1.23585	−	1.03700i	−0.263484	−	0.221090i
$23$	1.56951	+	2.71847i	0.327265	+	0.566840i	0.981968	−	0.189046i	$-0.0605396\pi$
$23$	1.56951	+	2.71847i	0.327265	+	0.566840i	−0.654703	+	0.755886i	$0.727206\pi$
$24$	2.54947	+	0.927930i	0.520408	+	0.189413i
$25$	0.173648	−	0.984808i	0.0347296	−	0.196962i
$26$	−1.40384	+	2.43152i	−0.275316	+	0.476861i
$27$	1.84604	+	3.19743i	0.355270	+	0.615345i
$28$	2.88860	−	1.05137i	0.545895	−	0.198689i
$29$	4.19281	−	7.26216i	0.778585	−	1.34855i	−0.154172	−	0.988044i	$-0.549271\pi$
$29$	4.19281	−	7.26216i	0.778585	−	1.34855i	0.932757	−	0.360505i	$-0.117396\pi$
$30$	2.07834	−	1.74394i	0.379452	−	0.318398i
$31$	5.98911			1.07568			0.537838	−	0.843048i	$-0.319241\pi$
$31$	5.98911			1.07568			0.537838	+	0.843048i	$0.319241\pi$
$32$	0.766044	−	0.642788i	0.135419	−	0.113630i
$33$	−4.11303	−	1.49702i	−0.715987	−	0.260598i
$34$	1.21791	+	6.90713i	0.208870	+	1.18456i
$35$	0.533792	−	3.02729i	0.0902274	−	0.511705i
$36$	4.36084			0.726806
$37$	3.90236	+	4.66601i	0.641543	+	0.767087i
$37$	3.90236	+	4.66601i	0.641543	+	0.767087i
$38$	−5.72676			−0.929004
$39$	−1.32276	+	7.50175i	−0.211811	+	1.20124i
$40$	−0.173648	−	0.984808i	−0.0274562	−	0.155712i
$41$	−8.76693	−	3.19090i	−1.36916	−	0.498335i	−0.450289	−	0.892883i	$-0.648679\pi$
$41$	−8.76693	−	3.19090i	−1.36916	−	0.498335i	−0.918876	+	0.394547i	$0.870901\pi$
$42$	6.38881	−	5.36085i	0.985814	−	0.827196i
$43$	−5.86458			−0.894340			−0.447170	−	0.894449i	$-0.647568\pi$
$43$	−5.86458			−0.894340			−0.447170	+	0.894449i	$0.647568\pi$
$44$	−1.23585	+	1.03700i	−0.186312	+	0.156334i
$45$	2.18042	−	3.77660i	0.325038	−	0.562982i
$46$	2.94971	−	1.07361i	0.434911	−	0.158295i
$47$	−1.49160	−	2.58354i	−0.217573	−	0.376847i	0.736493	−	0.676446i	$-0.236481\pi$
$47$	−1.49160	−	2.58354i	−0.217573	−	0.376847i	−0.954065	+	0.299598i	$0.903147\pi$
$48$	1.35654	−	2.34960i	0.195800	−	0.339136i
$49$	0.425334	−	2.41219i	0.0607620	−	0.344598i
$50$	−0.939693	−	0.342020i	−0.132893	−	0.0483690i
$51$	9.51436	+	16.4794i	1.33228	+	2.30757i
$52$	2.15081	+	1.80474i	0.298263	+	0.250273i
$53$	−10.0813	−	8.45924i	−1.38478	−	1.16197i	−0.967406	−	0.253230i	$-0.918507\pi$
$53$	−10.0813	−	8.45924i	−1.38478	−	1.16197i	−0.417371	−	0.908736i	$-0.637048\pi$
$54$	3.46941	−	1.26276i	0.472127	−	0.171840i
$55$	0.280145	+	1.58878i	0.0377747	+	0.214231i
$56$	−0.533792	−	3.02729i	−0.0713310	−	0.404538i
$57$	−14.6002	+	5.31404i	−1.93384	+	0.703862i
$58$	−6.42376	−	5.39017i	−0.843481	−	0.707764i
$59$	−1.51049	−	1.26746i	−0.196650	−	0.165009i	0.539146	−	0.842212i	$-0.318747\pi$
$59$	−1.51049	−	1.26746i	−0.196650	−	0.165009i	−0.735796	+	0.677204i	$0.763192\pi$
$60$	−1.35654	−	2.34960i	−0.175129	−	0.303332i
$61$	−7.12980	−	2.59504i	−0.912878	−	0.332260i	−0.157476	−	0.987523i	$-0.550336\pi$
$61$	−7.12980	−	2.59504i	−0.912878	−	0.332260i	−0.755401	+	0.655263i	$0.772558\pi$
$62$	1.04000	−	5.89812i	0.132080	−	0.749062i
$63$	6.70258	−	11.6092i	0.844446	−	1.46262i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	2.63836	−	0.960283i	0.327248	−	0.119108i
$66$	−2.18850	+	3.79059i	−0.269385	+	0.466589i
$67$	5.33208	−	4.47415i	0.651417	−	0.546604i	−0.256083	−	0.966655i	$-0.582432\pi$
$67$	5.33208	−	4.47415i	0.651417	−	0.546604i	0.907501	+	0.420051i	$0.137988\pi$
$68$	7.01368			0.850534
$69$	6.52396	−	5.47425i	0.785393	−	0.659023i
$70$	−2.88860	−	1.05137i	−0.345254	−	0.125662i
$71$	0.264714	+	1.50127i	0.0314157	+	0.178168i	0.996478	−	0.0838525i	$-0.0267225\pi$
$71$	0.264714	+	1.50127i	0.0314157	+	0.178168i	−0.965062	+	0.262020i	$0.915611\pi$
$72$	0.757252	−	4.29459i	0.0892430	−	0.506122i
$73$	−4.15584			−0.486404			−0.243202	−	0.969976i	$-0.578198\pi$
$73$	−4.15584			−0.486404			−0.243202	+	0.969976i	$0.578198\pi$
$74$	5.27276	−	3.03283i	0.612945	−	0.352559i
$75$	−2.71309			−0.313280
$76$	−0.994442	+	5.63976i	−0.114070	+	0.646925i
$77$	0.861162	+	4.88389i	0.0981385	+	0.556571i
$78$	7.15809	+	2.60533i	0.810494	+	0.294996i
$79$	1.91309	−	1.60527i	0.215239	−	0.180607i	−0.528793	−	0.848751i	$-0.677355\pi$
$79$	1.91309	−	1.60527i	0.215239	−	0.180607i	0.744032	+	0.668144i	$0.232911\pi$
$80$	−1.00000			−0.111803
$81$	−2.34839	+	1.97053i	−0.260932	+	0.218948i
$82$	−4.66479	+	8.07965i	−0.515140	+	0.892248i
$83$	8.44362	−	3.07323i	0.926807	−	0.337330i	0.165864	−	0.986149i	$-0.446959\pi$
$83$	8.44362	−	3.07323i	0.926807	−	0.337330i	0.760943	+	0.648818i	$0.224737\pi$
$84$	−4.17000	−	7.22265i	−0.454984	−	0.788055i
$85$	3.50684	−	6.07403i	0.380370	−	0.658821i
$86$	−1.01837	+	5.77548i	−0.109814	+	0.622787i
$87$	−21.3789	−	7.78127i	−2.29205	−	0.834240i
$88$	0.806645	+	1.39715i	0.0859886	+	0.148937i
$89$	−1.48166	−	1.24326i	−0.157055	−	0.131785i	0.560874	−	0.827901i	$-0.310465\pi$
$89$	−1.48166	−	1.24326i	−0.157055	−	0.131785i	−0.717929	+	0.696116i	$0.754910\pi$
$90$	−3.34060	−	2.80309i	−0.352130	−	0.295472i
$91$	8.11027	−	2.95190i	0.850187	−	0.309443i
$92$	−0.545085	−	3.09133i	−0.0568290	−	0.322293i
$93$	−2.82161	−	16.0021i	−0.292587	−	1.65934i
$94$	−2.80330	+	1.02032i	−0.289138	+	0.105238i
$95$	4.38696	+	3.68109i	0.450092	+	0.377672i
$96$	−2.07834	−	1.74394i	−0.212120	−	0.177990i
$97$	6.09135	+	10.5505i	0.618483	+	1.07124i	0.989763	+	0.142723i	$0.0455857\pi$
$97$	6.09135	+	10.5505i	0.618483	+	1.07124i	−0.371280	+	0.928521i	$0.621081\pi$
$98$	−2.30168	−	0.837744i	−0.232505	−	0.0846250i
$99$	−1.22167	+	6.92841i	−0.122782	+	0.696332i
$100$	−0.500000	+	0.866025i	−0.0500000	+	0.0866025i
$101$	−0.304764	−	0.527867i	−0.0303252	−	0.0525248i	0.850465	−	0.526032i	$-0.176321\pi$
$101$	−0.304764	−	0.527867i	−0.0303252	−	0.0525248i	−0.880790	+	0.473508i	$0.842988\pi$
$102$	17.8812	−	6.50821i	1.77050	−	0.644408i
$103$	−1.74797	+	3.02758i	−0.172233	+	0.298316i	−0.939200	−	0.343370i	$-0.888432\pi$
$103$	−1.74797	+	3.02758i	−0.172233	+	0.298316i	0.766967	+	0.641686i	$0.221765\pi$
$104$	2.15081	−	1.80474i	0.210904	−	0.176969i
$105$	−8.33999			−0.813900
$106$	−10.0813	+	8.45924i	−0.979185	+	0.821634i
$107$	14.0629	+	5.11846i	1.35951	+	0.494820i	0.915902	−	0.401402i	$-0.131477\pi$
$107$	14.0629	+	5.11846i	1.35951	+	0.494820i	0.443605	+	0.896222i	$0.353699\pi$
$108$	−0.641122	−	3.63598i	−0.0616920	−	0.349873i
$109$	−0.629542	+	3.57031i	−0.0602991	+	0.341973i	−1.00000		2.40835e-5i	$-0.999992\pi$
$109$	−0.629542	+	3.57031i	−0.0602991	+	0.341973i	0.939701	+	0.341998i	$0.111103\pi$
$110$	1.61329			0.153821
$111$	10.6285	−	12.6248i	1.00881	−	1.19830i
$112$	−3.07399			−0.290465
$113$	3.58488	−	20.3309i	0.337237	−	1.91257i	−0.0666863	−	0.997774i	$-0.521243\pi$
$113$	3.58488	−	20.3309i	0.337237	−	1.91257i	0.403923	−	0.914793i	$-0.367646\pi$
$114$	2.69801	+	15.3012i	0.252692	+	1.43309i
$115$	−2.94971	−	1.07361i	−0.275062	−	0.100114i
$116$	−6.42376	+	5.39017i	−0.596431	+	0.500465i
$117$	12.2438			1.13194
$118$	−1.51049	+	1.26746i	−0.139052	+	0.116679i
$119$	10.7800	−	18.6715i	0.988200	−	1.71161i
$120$	−2.54947	+	0.927930i	−0.232733	+	0.0847081i
$121$	4.19865	+	7.27227i	0.381695	+	0.661116i
$122$	−3.79369	+	6.57086i	−0.343464	+	0.594898i
$123$	−4.39537	+	24.9274i	−0.396317	+	2.24763i
$124$	−5.62792	−	2.04840i	−0.505403	−	0.183951i
$125$	0.500000	+	0.866025i	0.0447214	+	0.0774597i
$126$	−10.2690	−	8.61667i	−0.914831	−	0.767634i
$127$	10.4671	+	8.78298i	0.928809	+	0.779363i	0.975603	−	0.219541i	$-0.0704560\pi$
$127$	10.4671	+	8.78298i	0.928809	+	0.779363i	−0.0467940	+	0.998905i	$0.514900\pi$
$128$	−0.939693	+	0.342020i	−0.0830579	+	0.0302306i
$129$	2.76294	+	15.6694i	0.243263	+	1.37961i
$130$	−0.487548	−	2.76502i	−0.0427608	−	0.242509i
$131$	−16.4096	+	5.97260i	−1.43371	+	0.521828i	−0.937993	−	0.346655i	$-0.887318\pi$
$131$	−16.4096	+	5.97260i	−1.43371	+	0.521828i	−0.495719	+	0.868483i	$0.665095\pi$
$132$	3.35297	+	2.81348i	0.291839	+	0.244882i
$133$	13.4855	+	11.3156i	1.16934	+	0.981190i
$134$	−3.48027	−	6.02800i	−0.300649	−	0.520740i
$135$	−3.46941	−	1.26276i	−0.298600	−	0.108681i
$136$	1.21791	−	6.90713i	0.104435	−	0.592281i
$137$	4.17497	−	7.23125i	0.356691	−	0.617808i	−0.630715	−	0.776015i	$-0.717238\pi$
$137$	4.17497	−	7.23125i	0.356691	−	0.617808i	0.987406	+	0.158207i	$0.0505715\pi$
$138$	−4.25821	−	7.37544i	−0.362483	−	0.627839i
$139$	14.2087	−	5.17154i	1.20516	−	0.438644i	0.340140	−	0.940375i	$-0.389525\pi$
$139$	14.2087	−	5.17154i	1.20516	−	0.438644i	0.865024	+	0.501731i	$0.167303\pi$
$140$	−1.53699	+	2.66215i	−0.129900	+	0.224993i
$141$	−6.20014	+	5.20253i	−0.522146	+	0.438132i
$142$	1.52443			0.127927
$143$	−3.46987	+	2.91157i	−0.290165	+	0.243478i
$144$	−4.09785	−	1.49149i	−0.341487	−	0.124291i
$145$	1.45615	+	8.25822i	0.120926	+	0.685808i
$146$	−0.721654	+	4.09270i	−0.0597245	+	0.338714i
$147$	−6.64544			−0.548106
$148$	−2.07115	−	5.71930i	−0.170247	−	0.470123i
$149$	−0.273661			−0.0224191			−0.0112096	−	0.999937i	$-0.503568\pi$
$149$	−0.273661			−0.0224191			−0.0112096	+	0.999937i	$0.503568\pi$
$150$	−0.471123	+	2.67187i	−0.0384670	+	0.218157i
$151$	−1.41452	−	8.02216i	−0.115112	−	0.652834i	−0.986695	−	0.162585i	$-0.948017\pi$
$151$	−1.41452	−	8.02216i	−0.115112	−	0.652834i	0.871582	−	0.490249i	$-0.163094\pi$
$152$	5.38140	+	1.95867i	0.436489	+	0.158869i
$153$	23.4299	−	19.6600i	1.89419	−	1.58942i
$154$	4.95923			0.399626
$155$	−4.58793	+	3.84973i	−0.368511	+	0.309218i
$156$	3.80874	−	6.59693i	0.304943	−	0.528177i
$157$	4.03150	−	1.46735i	0.321749	−	0.117107i	−0.176096	−	0.984373i	$-0.556347\pi$
$157$	4.03150	−	1.46735i	0.321749	−	0.117107i	0.497845	+	0.867266i	$0.334125\pi$
$158$	−1.24868	−	2.16277i	−0.0993395	−	0.172061i
$159$	−17.8524	+	30.9213i	−1.41579	+	2.45222i
$160$	−0.173648	+	0.984808i	−0.0137281	+	0.0778559i
$161$	−9.06738	−	3.30026i	−0.714610	−	0.260097i
$162$	1.53280	+	2.65489i	0.120428	+	0.208588i
$163$	−5.90328	−	4.95344i	−0.462380	−	0.387983i	0.381626	−	0.924317i	$-0.375364\pi$
$163$	−5.90328	−	4.95344i	−0.462380	−	0.387983i	−0.844006	+	0.536334i	$0.819809\pi$
$164$	7.14687	+	5.99694i	0.558077	+	0.468282i
$165$	4.11303	−	1.49702i	0.320199	−	0.116543i
$166$	−1.56032	−	8.84900i	−0.121104	−	0.686816i
$167$	−3.63064	−	20.5904i	−0.280948	−	1.59333i	−0.719411	−	0.694584i	$-0.755588\pi$
$167$	−3.63064	−	20.5904i	−0.280948	−	1.59333i	0.438464	−	0.898749i	$-0.355523\pi$
$168$	−7.83703	+	2.85245i	−0.604640	+	0.220071i
$169$	−3.91980	−	3.28910i	−0.301523	−	0.253008i
$170$	−5.37279	−	4.50831i	−0.412074	−	0.345771i
$171$	12.4867	+	21.6277i	0.954886	+	1.65391i
$172$	5.51090	+	2.00580i	0.420202	+	0.152941i
$173$	0.992934	−	5.63121i	0.0754914	−	0.428133i	−0.923515	−	0.383563i	$-0.874697\pi$
$173$	0.992934	−	5.63121i	0.0754914	−	0.428133i	0.999006	−	0.0445703i	$-0.0141919\pi$
$174$	−11.3755	+	19.7029i	−0.862371	+	1.49367i
$175$	1.53699	+	2.66215i	0.116186	+	0.201240i
$176$	1.51600	−	0.551778i	0.114273	−	0.0415918i
$177$	−2.67485	+	4.63297i	−0.201054	+	0.348235i
$178$	−1.48166	+	1.24326i	−0.111055	+	0.0931860i
$179$	−14.0274			−1.04846			−0.524230	−	0.851576i	$-0.675647\pi$
$179$	−14.0274			−1.04846			−0.524230	+	0.851576i	$0.675647\pi$
$180$	−3.34060	+	2.80309i	−0.248993	+	0.208930i
$181$	6.51080	+	2.36974i	0.483944	+	0.176141i	0.572459	−	0.819934i	$-0.305990\pi$
$181$	6.51080	+	2.36974i	0.483944	+	0.176141i	−0.0885145	+	0.996075i	$0.528212\pi$
$182$	−1.49872	−	8.49965i	−0.111092	−	0.630036i
$183$	−3.57458	+	20.2725i	−0.264241	+	1.49858i
$184$	−3.13902			−0.231411
$185$	−5.98863	−	1.06598i	−0.440293	−	0.0783725i
$186$	−16.2490			−1.19143
$187$	−1.96485	+	11.1432i	−0.143684	+	0.814871i
$188$	0.518029	+	2.93789i	0.0377811	+	0.214267i
$189$	−10.6649	−	3.88172i	−0.775760	−	0.282354i
$190$	4.38696	−	3.68109i	0.318263	−	0.267055i
$191$	7.85791			0.568578			0.284289	−	0.958739i	$-0.408242\pi$
$191$	7.85791			0.568578			0.284289	+	0.958739i	$0.408242\pi$
$192$	−2.07834	+	1.74394i	−0.149992	+	0.125858i
$193$	−3.18459	+	5.51587i	−0.229232	+	0.397041i	−0.957581	−	0.288165i	$-0.906955\pi$
$193$	−3.18459	+	5.51587i	−0.229232	+	0.397041i	0.728349	+	0.685207i	$0.240288\pi$
$194$	11.4480	−	4.16673i	0.821918	−	0.299154i
$195$	−3.80874	−	6.59693i	−0.272749	−	0.472416i
$196$	−1.22470	+	2.12124i	−0.0874786	+	0.151517i
$197$	3.98174	−	22.5816i	0.283687	−	1.60887i	−0.426251	−	0.904605i	$-0.640166\pi$
$197$	3.98174	−	22.5816i	0.283687	−	1.60887i	0.709938	−	0.704264i	$-0.248723\pi$
$198$	6.61102	+	2.40621i	0.469824	+	0.171002i
$199$	6.67610	+	11.5634i	0.473256	+	0.819704i	0.999531	−	0.0306102i	$-0.00974505\pi$
$199$	6.67610	+	11.5634i	0.473256	+	0.819704i	−0.526275	+	0.850314i	$0.676412\pi$
$200$	0.766044	+	0.642788i	0.0541675	+	0.0454519i
$201$	−14.4664	−	12.1388i	−1.02038	−	0.856201i
$202$	−0.572770	+	0.208471i	−0.0402999	+	0.0146680i
$203$	4.47618	+	25.3857i	0.314166	+	1.78173i
$204$	−3.30430	−	18.7396i	−0.231347	−	1.31204i
$205$	8.76693	−	3.19090i	0.612309	−	0.222862i
$206$	2.67805	+	2.24715i	0.186589	+	0.156566i
$207$	−10.4862	−	8.79896i	−0.728841	−	0.611570i
$208$	−1.40384	−	2.43152i	−0.0973388	−	0.168596i
$209$	−8.68175	−	3.15990i	−0.600530	−	0.218575i
$210$	−1.44822	+	8.21329i	−0.0999370	+	0.566771i
$211$	5.96321	−	10.3286i	0.410524	−	0.711049i	−0.584423	−	0.811449i	$-0.698679\pi$
$211$	5.96321	−	10.3286i	0.410524	−	0.711049i	0.994947	+	0.100400i	$0.0320123\pi$
$212$	6.58012	+	11.3971i	0.451925	+	0.782756i
$213$	3.88647	−	1.41456i	0.266297	−	0.0969241i
$214$	7.48269	−	12.9604i	0.511506	−	0.885954i
$215$	4.49253	−	3.76968i	0.306388	−	0.257090i
$216$	−3.69207			−0.251214
$217$	−14.1032	+	11.8340i	−0.957390	+	0.803345i
$218$	3.40675	+	1.23995i	0.230734	+	0.0839803i
$219$	1.95791	+	11.1039i	0.132303	+	0.750329i
$220$	0.280145	−	1.58878i	0.0188874	−	0.107116i
$221$	19.6922			1.32464
$222$	−10.5874	−	12.6593i	−0.710582	−	0.849635i
$223$	11.1674			0.747824			0.373912	−	0.927464i	$-0.378016\pi$
$223$	11.1674			0.747824			0.373912	+	0.927464i	$0.378016\pi$
$224$	−0.533792	+	3.02729i	−0.0356655	+	0.202269i
$225$	0.757252	+	4.29459i	0.0504834	+	0.286306i
$226$	−19.3995	−	7.06083i	−1.29043	−	0.469680i
$227$	−14.4259	+	12.1047i	−0.957478	+	0.803419i	−0.980541	−	0.196315i	$-0.937102\pi$
$227$	−14.4259	+	12.1047i	−0.957478	+	0.803419i	0.0230634	+	0.999734i	$0.492658\pi$
$228$	15.5372			1.02898
$229$	−17.5912	+	14.7607i	−1.16246	+	0.975417i	−0.999936	−	0.0112884i	$-0.996407\pi$
$229$	−17.5912	+	14.7607i	−1.16246	+	0.975417i	−0.162520	+	0.986705i	$0.551962\pi$
$230$	−1.56951	+	2.71847i	−0.103490	+	0.179251i
$231$	12.6434	−	4.60182i	0.831875	−	0.302778i
$232$	4.19281	+	7.26216i	0.275271	+	0.476784i
$233$	−11.2246	+	19.4416i	−0.735350	+	1.27366i	0.219220	+	0.975675i	$0.429649\pi$
$233$	−11.2246	+	19.4416i	−0.735350	+	1.27366i	−0.954570	+	0.297987i	$0.903685\pi$
$234$	2.12612	−	12.0578i	0.138989	−	0.788245i
$235$	2.80330	+	1.02032i	0.182867	+	0.0665582i
$236$	0.985906	+	1.70764i	0.0641770	+	0.111158i
$237$	−5.19037	−	4.35523i	−0.337151	−	0.282903i
$238$	−16.5159	−	13.8585i	−1.07057	−	0.898312i
$239$	6.24078	−	2.27146i	0.403683	−	0.146928i	−0.132196	−	0.991224i	$-0.542203\pi$
$239$	6.24078	−	2.27146i	0.403683	−	0.146928i	0.535878	+	0.844295i	$0.319981\pi$
$240$	0.471123	+	2.67187i	0.0304108	+	0.172468i
$241$	3.53985	+	20.0755i	0.228022	+	1.29317i	0.856824	+	0.515609i	$0.172434\pi$
$241$	3.53985	+	20.0755i	0.228022	+	1.29317i	−0.628802	+	0.777565i	$0.716454\pi$
$242$	7.89088	−	2.87204i	0.507245	−	0.184622i
$243$	14.8563	+	12.4659i	0.953029	+	0.799686i
$244$	5.81227	+	4.87707i	0.372092	+	0.312223i
$245$	1.22470	+	2.12124i	0.0782432	+	0.135521i
$246$	23.7854	+	8.65720i	1.51650	+	0.551963i
$247$	−2.79207	+	15.8346i	−0.177655	+	1.00753i
$248$	−2.99456	+	5.18672i	−0.190154	+	0.329357i
$249$	−12.1892	−	21.1124i	−0.772461	−	1.33794i
$250$	0.939693	−	0.342020i	0.0594314	−	0.0216313i
$251$	−4.08611	+	7.07735i	−0.257913	+	0.446718i	−0.965683	−	0.259725i	$-0.916368\pi$
$251$	−4.08611	+	7.07735i	−0.257913	+	0.446718i	0.707770	+	0.706443i	$0.249701\pi$
$252$	−10.2690	+	8.61667i	−0.646883	+	0.542799i
$253$	5.06415			0.318380
$254$	10.4671	−	8.78298i	0.656767	−	0.551093i
$255$	−17.8812	−	6.50821i	−1.11976	−	0.407560i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	4.39500	−	24.9253i	0.274153	−	1.55480i	−0.467487	−	0.884000i	$-0.654841\pi$
$257$	4.39500	−	24.9253i	0.274153	−	1.55480i	0.741640	−	0.670798i	$-0.234048\pi$
$258$	15.9111			0.990583
$259$	−18.4090	−	3.27681i	−1.14388	−	0.203611i
$260$	−2.80768			−0.174125
$261$	−6.35002	+	36.0128i	−0.393057	+	2.22914i
$262$	3.03237	+	17.1974i	0.187340	+	1.06246i
$263$	−15.1439	−	5.51191i	−0.933810	−	0.339879i	−0.170091	−	0.985428i	$-0.554406\pi$
$263$	−15.1439	−	5.51191i	−0.933810	−	0.339879i	−0.763719	+	0.645549i	$0.776629\pi$
$264$	3.35297	−	2.81348i	0.206361	−	0.173158i
$265$	13.1602			0.808427
$266$	13.4855	−	11.3156i	0.826846	−	0.693806i
$267$	−2.62378	+	4.54451i	−0.160573	+	0.278120i
$268$	−6.54077	+	2.38064i	−0.399541	+	0.145421i
$269$	7.42165	+	12.8547i	0.452506	+	0.783764i	0.998541	−	0.0539988i	$-0.0171967\pi$
$269$	7.42165	+	12.8547i	0.452506	+	0.783764i	−0.546035	+	0.837762i	$0.683863\pi$
$270$	−1.84604	+	3.19743i	−0.112346	+	0.194589i
$271$	2.61886	−	14.8523i	0.159084	−	0.902211i	−0.795872	−	0.605465i	$-0.792987\pi$
$271$	2.61886	−	14.8523i	0.159084	−	0.902211i	0.954956	−	0.296747i	$-0.0959016\pi$
$272$	−6.59070	−	2.39882i	−0.399620	−	0.145450i
$273$	−11.7080	−	20.2789i	−0.708601	−	1.22733i
$274$	−6.39642	−	5.36723i	−0.386422	−	0.324246i
$275$	−1.23585	−	1.03700i	−0.0745247	−	0.0625336i
$276$	−8.00282	+	2.91279i	−0.481713	+	0.175329i
$277$	3.78872	+	21.4869i	0.227642	+	1.29102i	0.857570	+	0.514367i	$0.171973\pi$
$277$	3.78872	+	21.4869i	0.227642	+	1.29102i	−0.629928	+	0.776653i	$0.716916\pi$
$278$	−2.62566	−	14.8908i	−0.157476	−	0.893093i
$279$	−24.5425	+	8.93273i	−1.46932	+	0.534788i
$280$	2.35481	+	1.97592i	0.140727	+	0.118084i
$281$	12.7901	+	10.7321i	0.762991	+	0.640226i	0.938904	−	0.344180i	$-0.111843\pi$
$281$	12.7901	+	10.7321i	0.762991	+	0.640226i	−0.175912	+	0.984406i	$0.556288\pi$
$282$	4.04685	+	7.00935i	0.240987	+	0.417401i
$283$	−23.7815	−	8.65575i	−1.41366	−	0.514531i	−0.481459	−	0.876469i	$-0.659893\pi$
$283$	−23.7815	−	8.65575i	−1.41366	−	0.514531i	−0.932202	+	0.361938i	$0.882115\pi$
$284$	0.264714	−	1.50127i	0.0157079	−	0.0890838i
$285$	7.76860	−	13.4556i	0.460172	−	0.797042i
$286$	2.26480	+	3.92275i	0.133920	+	0.231957i
$287$	26.9494	−	9.80880i	1.59078	−	0.578995i
$288$	−2.18042	+	3.77660i	−0.128482	+	0.222538i
$289$	24.6603	−	20.6924i	1.45061	−	1.21720i
$290$	8.38562			0.492421
$291$	25.3198	−	21.2459i	1.48428	−	1.24546i
$292$	3.90521	+	1.42138i	0.228535	+	0.0831800i
$293$	−3.86766	−	21.9346i	−0.225951	−	1.28143i	−0.860859	−	0.508844i	$-0.830073\pi$
$293$	−3.86766	−	21.9346i	−0.225951	−	1.28143i	0.634908	−	0.772588i	$-0.281038\pi$
$294$	−1.15397	+	6.54448i	−0.0673008	+	0.381682i
$295$	1.97181			0.114803
$296$	−5.99206	+	1.04654i	−0.348281	+	0.0608287i
$297$	5.95638			0.345624
$298$	−0.0475207	+	0.269503i	−0.00275280	+	0.0156119i
$299$	−1.53042	−	8.67946i	−0.0885066	−	0.501946i
$300$	2.54947	+	0.927930i	0.147194	+	0.0535741i
$301$	13.8100	−	11.5880i	0.795994	−	0.667918i
$302$	−8.14592			−0.468745
$303$	−1.26681	+	1.06298i	−0.0727764	+	0.0610666i
$304$	2.86338	−	4.95952i	0.164226	−	0.284448i
$305$	7.12980	−	2.59504i	0.408251	−	0.148591i
$306$	−15.2928	−	26.4878i	−0.874229	−	1.51421i
$307$	2.96436	−	5.13442i	0.169185	−	0.293037i	−0.768949	−	0.639311i	$-0.779220\pi$
$307$	2.96436	−	5.13442i	0.169185	−	0.293037i	0.938133	+	0.346274i	$0.112553\pi$
$308$	0.861162	−	4.88389i	0.0490692	−	0.278286i
$309$	8.91281	+	3.24400i	0.507032	+	0.184544i
$310$	2.99456	+	5.18672i	0.170079	+	0.294586i
$311$	−23.7639	−	19.9403i	−1.34753	−	1.13071i	−0.979623	−	0.200844i	$-0.935632\pi$
$311$	−23.7639	−	19.9403i	−1.34753	−	1.13071i	−0.367902	−	0.929864i	$-0.619924\pi$
$312$	−5.83533	−	4.89642i	−0.330360	−	0.277205i
$313$	11.3416	−	4.12799i	0.641063	−	0.233328i	−0.000976144	−	1.00000i	$-0.500311\pi$
$313$	11.3416	−	4.12799i	0.641063	−	0.233328i	0.642040	+	0.766672i	$0.278088\pi$
$314$	−0.744991	−	4.22506i	−0.0420423	−	0.238434i
$315$	2.32778	+	13.2015i	0.131156	+	0.743821i
$316$	−2.34675	+	0.854146i	−0.132015	+	0.0480495i
$317$	4.41190	+	3.70202i	0.247797	+	0.207926i	0.758223	−	0.651995i	$-0.226068\pi$
$317$	4.41190	+	3.70202i	0.247797	+	0.207926i	−0.510426	+	0.859922i	$0.670512\pi$
$318$	27.3515	+	22.9507i	1.53380	+	1.28701i
$319$	−6.76422	−	11.7160i	−0.378723	−	0.655968i
$320$	0.939693	+	0.342020i	0.0525304	+	0.0191195i
$321$	7.05052	−	39.9855i	0.393522	−	2.23177i
$322$	−4.82465	+	8.35654i	−0.268867	+	0.465692i
$323$	20.0829	+	34.7845i	1.11744	+	1.93546i
$324$	2.88072	−	1.04850i	0.160040	−	0.0582499i
$325$	−1.40384	+	2.43152i	−0.0778710	+	0.134877i
$326$	−5.90328	+	4.95344i	−0.326952	+	0.274346i
$327$	9.83598			0.543931
$328$	7.14687	−	5.99694i	0.394620	−	0.331125i
$329$	8.61731	+	3.13644i	0.475088	+	0.172918i
$330$	−0.760057	−	4.31050i	−0.0418398	−	0.237285i
$331$	−2.45859	+	13.9434i	−0.135137	+	0.766397i	0.839628	+	0.543162i	$0.182773\pi$
$331$	−2.45859	+	13.9434i	−0.135137	+	0.766397i	−0.974765	+	0.223235i	$0.928338\pi$
$332$	−8.98551			−0.493144
$333$	−22.9506	−	13.3002i	−1.25768	−	0.728849i
$334$	−20.9080			−1.14404
$335$	−1.20868	+	6.85479i	−0.0660375	+	0.374517i
$336$	1.44822	+	8.21329i	0.0790071	+	0.448072i
$337$	−31.2501	−	11.3741i	−1.70230	−	0.619588i	−0.706219	−	0.707993i	$-0.749601\pi$
$337$	−31.2501	−	11.3741i	−1.70230	−	0.619588i	−0.996085	+	0.0884052i	$0.971823\pi$
$338$	−3.91980	+	3.28910i	−0.213209	+	0.178904i
$339$	−56.0103			−3.04206
$340$	−5.37279	+	4.50831i	−0.291381	+	0.244497i
$341$	4.83109	−	8.36769i	0.261618	−	0.453136i
$342$	23.4674	−	8.54144i	1.26897	−	0.461868i
$343$	−6.99424	−	12.1144i	−0.377654	−	0.654115i
$344$	2.93229	−	5.07888i	0.158099	−	0.273835i
$345$	−1.47886	+	8.38704i	−0.0796193	+	0.451543i
$346$	−5.37324	−	1.95570i	−0.288867	−	0.105139i
$347$	−10.3387	−	17.9072i	−0.555011	−	0.961307i	−0.997903	−	0.0647318i	$-0.979381\pi$
$347$	−10.3387	−	17.9072i	−0.555011	−	0.961307i	0.442892	−	0.896575i	$-0.353953\pi$
$348$	17.4282	+	14.6240i	0.934250	+	0.783929i
$349$	20.3977	+	17.1157i	1.09186	+	0.916182i	0.996851	−	0.0792938i	$-0.0252665\pi$
$349$	20.3977	+	17.1157i	1.09186	+	0.916182i	0.0950123	+	0.995476i	$0.469711\pi$
$350$	2.88860	−	1.05137i	0.154402	−	0.0561979i
$351$	−1.80006	−	10.2087i	−0.0960803	−	0.544899i
$352$	−0.280145	−	1.58878i	−0.0149318	−	0.0846823i
$353$	−26.5773	+	9.67334i	−1.41457	+	0.514860i	−0.932467	−	0.361256i	$-0.882348\pi$
$353$	−26.5773	+	9.67334i	−1.41457	+	0.514860i	−0.482100	+	0.876116i	$0.660126\pi$
$354$	4.09810	+	3.43872i	0.217812	+	0.182766i
$355$	−1.16778	−	0.979882i	−0.0619792	−	0.0520067i
$356$	0.967082	+	1.67503i	0.0512552	+	0.0887767i
$357$	−54.9664	−	20.0061i	−2.90913	−	1.05884i
$358$	−2.43584	+	13.8143i	−0.128738	+	0.730111i
$359$	3.81350	−	6.60518i	0.201269	−	0.348608i	−0.747669	−	0.664072i	$-0.768827\pi$
$359$	3.81350	−	6.60518i	0.201269	−	0.348608i	0.948938	+	0.315464i	$0.102160\pi$
$360$	2.18042	+	3.77660i	0.114918	+	0.199044i
$361$	−12.9638	+	4.71845i	−0.682308	+	0.248340i
$362$	3.46432	−	6.00039i	0.182081	−	0.315373i
$363$	17.4525	−	14.6444i	0.916018	−	0.768630i
$364$	−8.63077			−0.452375
$365$	3.18356	−	2.67132i	0.166635	−	0.139823i
$366$	19.3438	+	7.04056i	1.01111	+	0.368016i
$367$	−2.62816	−	14.9051i	−0.137189	−	0.778038i	−0.973310	−	0.229493i	$-0.926293\pi$
$367$	−2.62816	−	14.9051i	−0.137189	−	0.778038i	0.836121	−	0.548545i	$-0.184818\pi$
$368$	−0.545085	+	3.09133i	−0.0284145	+	0.161147i
$369$	40.6848			2.11796
$370$	−2.08970	+	5.71254i	−0.108638	+	0.296981i
$371$	40.4544			2.10029
$372$	−2.82161	+	16.0021i	−0.146293	+	0.829671i
$373$	−0.393822	−	2.23348i	−0.0203913	−	0.115645i	0.972913	−	0.231171i	$-0.0742557\pi$
$373$	−0.393822	−	2.23348i	−0.0203913	−	0.115645i	−0.993304	+	0.115526i	$0.963145\pi$
$374$	10.6327	+	3.86999i	0.549805	+	0.200113i
$375$	2.07834	−	1.74394i	0.107325	−	0.0900566i
$376$	2.98321			0.153847
$377$	−18.0358	+	15.1339i	−0.928893	+	0.779434i
$378$	−5.67469	+	9.82886i	−0.291875	+	0.505542i
$379$	13.9873	−	5.09098i	0.718481	−	0.261506i	0.0432004	−	0.999066i	$-0.486245\pi$
$379$	13.9873	−	5.09098i	0.718481	−	0.261506i	0.675281	+	0.737561i	$0.264022\pi$
$380$	−2.86338	−	4.95952i	−0.146888	−	0.254418i
$381$	18.5357	−	32.1047i	0.949611	−	1.64477i
$382$	1.36451	−	7.73853i	0.0698145	−	0.395938i
$383$	3.08406	+	1.12251i	0.157588	+	0.0573574i	0.419610	−	0.907705i	$-0.362167\pi$
$383$	3.08406	+	1.12251i	0.157588	+	0.0573574i	−0.262022	+	0.965062i	$0.584389\pi$
$384$	1.35654	+	2.34960i	0.0692258	+	0.119903i
$385$	−3.79899	−	3.18773i	−0.193615	−	0.162462i
$386$	4.87908	+	4.09403i	0.248339	+	0.208381i
$387$	24.0322	−	8.74699i	1.22162	−	0.444635i
$388$	−2.11550	−	11.9976i	−0.107398	−	0.609087i
$389$	6.37626	+	36.1616i	0.323289	+	1.83346i	0.521434	+	0.853291i	$0.325397\pi$
$389$	6.37626	+	36.1616i	0.323289	+	1.83346i	−0.198145	+	0.980173i	$0.563492\pi$
$390$	−7.15809	+	2.60533i	−0.362464	+	0.131926i
$391$	−16.8653	−	14.1517i	−0.852914	−	0.715680i
$392$	1.87635	+	1.57444i	0.0947700	+	0.0795214i
$393$	23.6889	+	41.0304i	1.19495	+	2.06971i
$394$	−21.5471	−	7.84249i	−1.08553	−	0.395099i
$395$	−0.433661	+	2.45942i	−0.0218199	+	0.123747i
$396$	3.51765	−	6.09274i	0.176768	−	0.306172i
$397$	−5.36042	−	9.28452i	−0.269032	−	0.465977i	0.699580	−	0.714554i	$-0.253370\pi$
$397$	−5.36042	−	9.28452i	−0.269032	−	0.465977i	−0.968612	+	0.248577i	$0.920037\pi$
$398$	12.5470	−	4.56672i	0.628923	−	0.228909i
$399$	23.8806	−	41.3624i	1.19553	−	2.07071i
$400$	0.766044	−	0.642788i	0.0383022	−	0.0321394i
$401$	−15.0194			−0.750032			−0.375016	−	0.927018i	$-0.622363\pi$
$401$	−15.0194			−0.750032			−0.375016	+	0.927018i	$0.622363\pi$
$402$	−14.4664	+	12.1388i	−0.721518	+	0.605426i
$403$	−15.8014	−	5.75124i	−0.787124	−	0.286490i
$404$	0.105844	+	0.600268i	0.00526591	+	0.0298645i
$405$	0.532336	−	3.01903i	0.0264520	−	0.150017i
$406$	25.7773			1.27931
$407$	9.66693	−	1.68837i	0.479172	−	0.0836893i
$408$	−19.0287			−0.942062
$409$	2.58343	−	14.6513i	0.127742	−	0.724462i	−0.851899	−	0.523706i	$-0.824549\pi$
$409$	2.58343	−	14.6513i	0.127742	−	0.724462i	0.979641	−	0.200756i	$-0.0643399\pi$
$410$	−1.62006	−	9.18784i	−0.0800092	−	0.453755i
$411$	−21.2879	−	7.74815i	−1.05005	−	0.382188i
$412$	2.67805	−	2.24715i	0.131938	−	0.110709i
$413$	6.06132			0.298258
$414$	−10.4862	+	8.79896i	−0.515368	+	0.432445i
$415$	−4.49275	+	7.78168i	−0.220541	+	0.381988i
$416$	−2.63836	+	0.960283i	−0.129356	+	0.0470817i
$417$	−20.5117	−	35.5273i	−1.00446	−	1.73978i
$418$	−4.61947	+	8.00115i	−0.225945	+	0.391349i
$419$	−2.27827	+	12.9207i	−0.111301	+	0.631217i	0.877215	+	0.480098i	$0.159399\pi$
$419$	−2.27827	+	12.9207i	−0.111301	+	0.631217i	−0.988516	+	0.151119i	$0.951712\pi$
$420$	7.83703	+	2.85245i	0.382408	+	0.139185i
$421$	7.68138	+	13.3045i	0.374368	+	0.648424i	0.990232	−	0.139428i	$-0.0445265\pi$
$421$	7.68138	+	13.3045i	0.374368	+	0.648424i	−0.615865	+	0.787852i	$0.711193\pi$
$422$	−9.13617	−	7.66616i	−0.444742	−	0.373183i
$423$	9.96570	+	8.36221i	0.484549	+	0.406585i
$424$	12.3666	−	4.50107i	0.600574	−	0.218591i
$425$	1.21791	+	6.90713i	0.0590775	+	0.335045i
$426$	−0.718191	−	4.07307i	−0.0347965	−	0.197341i
$427$	21.9169	−	7.97711i	1.06063	−	0.386039i
$428$	−11.4641	−	9.61956i	−0.554140	−	0.464979i
$429$	9.41407	+	7.89934i	0.454516	+	0.381384i
$430$	−2.93229	−	5.07888i	−0.141408	−	0.244925i
$431$	2.29202	+	0.834227i	0.110403	+	0.0401833i	0.396631	−	0.917978i	$-0.370179\pi$
$431$	2.29202	+	0.834227i	0.110403	+	0.0401833i	−0.286228	+	0.958161i	$0.592402\pi$
$432$	−0.641122	+	3.63598i	−0.0308460	+	0.174936i
$433$	−10.4246	+	18.0560i	−0.500976	+	0.867716i	0.499023	+	0.866589i	$0.333692\pi$
$433$	−10.4246	+	18.0560i	−0.500976	+	0.867716i	−0.999999	+	0.00112753i	$0.999641\pi$
$434$	9.20523	+	15.9439i	0.441865	+	0.765333i
$435$	21.3789	−	7.78127i	1.02504	−	0.373083i
$436$	1.81269	−	3.13968i	0.0868122	−	0.150363i
$437$	13.7707	−	11.5550i	0.658744	−	0.552752i
$438$	11.2751			0.538747
$439$	15.4148	−	12.9345i	0.735707	−	0.617332i	−0.195974	−	0.980609i	$-0.562787\pi$
$439$	15.4148	−	12.9345i	0.735707	−	0.617332i	0.931681	+	0.363277i	$0.118342\pi$
$440$	−1.51600	−	0.551778i	−0.0722723	−	0.0263050i
$441$	1.85481	+	10.5192i	0.0883244	+	0.500913i
$442$	3.41951	−	19.3930i	0.162649	−	0.922431i
$443$	38.5492			1.83153			0.915764	−	0.401718i	$-0.131587\pi$
$443$	38.5492			1.83153			0.915764	+	0.401718i	$0.131587\pi$
$444$	−14.3054	+	8.22832i	−0.678906	+	0.390499i
$445$	1.93416			0.0916881
$446$	1.93920	−	10.9977i	0.0918237	−	0.520758i
$447$	0.128928	+	0.731185i	0.00609807	+	0.0345839i
$448$	2.88860	+	1.05137i	0.136474	+	0.0496724i
$449$	−11.7566	+	9.86495i	−0.554828	+	0.465556i	−0.876572	−	0.481271i	$-0.840175\pi$
$449$	−11.7566	+	9.86495i	−0.554828	+	0.465556i	0.321744	+	0.946827i	$0.395731\pi$
$450$	4.36084			0.205572
$451$	−11.5300	+	9.67479i	−0.542925	+	0.455568i
$452$	−10.3223	+	17.8787i	−0.485518	+	0.840942i
$453$	−20.7677	+	7.55884i	−0.975754	+	0.355145i
$454$	9.41581	+	16.3087i	0.441906	+	0.765403i
$455$	−4.31539	+	7.47447i	−0.202308	+	0.350408i
$456$	2.69801	−	15.3012i	0.126346	−	0.716543i
$457$	−20.3479	−	7.40605i	−0.951837	−	0.346440i	−0.181007	−	0.983482i	$-0.557936\pi$
$457$	−20.3479	−	7.40605i	−0.951837	−	0.346440i	−0.770829	+	0.637042i	$0.780158\pi$
$458$	11.4818	+	19.8871i	0.536510	+	0.929262i
$459$	−19.8367	−	16.6450i	−0.925900	−	0.776922i
$460$	2.40463	+	2.01772i	0.112116	+	0.0940768i
$461$	−36.5593	+	13.3065i	−1.70274	+	0.619745i	−0.996132	−	0.0878640i	$-0.971996\pi$
$461$	−36.5593	+	13.3065i	−1.70274	+	0.619745i	−0.706604	+	0.707609i	$0.749774\pi$
$462$	−2.33641	−	13.2504i	−0.108699	−	0.616465i
$463$	1.58002	+	8.96076i	0.0734300	+	0.416442i	0.999259	+	0.0384986i	$0.0122575\pi$
$463$	1.58002	+	8.96076i	0.0734300	+	0.416442i	−0.925829	+	0.377943i	$0.876631\pi$
$464$	7.87990	−	2.86805i	0.365815	−	0.133146i
$465$	12.4474	+	10.4446i	0.577236	+	0.484359i
$466$	17.1971	+	14.4301i	0.796641	+	0.668461i
$467$	−2.34706	−	4.06523i	−0.108609	−	0.188116i	0.806598	−	0.591100i	$-0.201306\pi$
$467$	−2.34706	−	4.06523i	−0.108609	−	0.188116i	−0.915207	+	0.402984i	$0.867973\pi$
$468$	−11.5054	−	4.18764i	−0.531839	−	0.193574i
$469$	−3.71548	+	21.0715i	−0.171565	+	0.972994i
$470$	1.49160	−	2.58354i	0.0688026	−	0.119170i
$471$	−5.81989	−	10.0803i	−0.268166	−	0.464478i
$472$	1.85290	−	0.674399i	0.0852865	−	0.0310417i
$473$	−4.73063	+	8.19370i	−0.217515	+	0.376747i
$474$	−5.19037	+	4.35523i	−0.238401	+	0.200043i
$475$	−5.72676			−0.262762
$476$	−16.5159	+	13.8585i	−0.757005	+	0.635202i
$477$	53.9287	+	19.6284i	2.46922	+	0.898724i
$478$	−1.15325	−	6.54041i	−0.0527484	−	0.299151i
$479$	1.75191	−	9.93558i	0.0800469	−	0.453968i	−0.918269	−	0.395957i	$-0.870413\pi$
$479$	1.75191	−	9.93558i	0.0800469	−	0.453968i	0.998316	−	0.0580114i	$-0.0184760\pi$
$480$	2.71309			0.123835
$481$	−5.81512	−	16.0579i	−0.265147	−	0.732179i
$482$	20.3852			0.928519
$483$	−4.54600	+	25.7817i	−0.206850	+	1.17311i
$484$	−1.45818	−	8.26972i	−0.0662807	−	0.375896i
$485$	−11.4480	−	4.16673i	−0.519827	−	0.189201i
$486$	14.8563	−	12.4659i	0.673893	−	0.565464i
$487$	23.9270			1.08424			0.542118	−	0.840302i	$-0.317623\pi$
$487$	23.9270			1.08424			0.542118	+	0.840302i	$0.317623\pi$
$488$	5.81227	−	4.87707i	0.263109	−	0.220775i
$489$	−10.4538	+	18.1065i	−0.472736	+	0.818802i
$490$	2.30168	−	0.837744i	0.103979	−	0.0378454i
$491$	−8.63399	−	14.9545i	−0.389646	−	0.674887i	0.602755	−	0.797926i	$-0.294069\pi$
$491$	−8.63399	−	14.9545i	−0.389646	−	0.674887i	−0.992402	+	0.123039i	$0.960736\pi$
$492$	12.6560	−	21.9208i	0.570575	−	0.988265i
$493$	−10.2130	+	57.9205i	−0.459968	+	2.60861i
$494$	15.1092	+	5.49931i	0.679797	+	0.247426i
$495$	−3.51765	−	6.09274i	−0.158107	−	0.273849i
$496$	4.58793	+	3.84973i	0.206004	+	0.172858i
$497$	−3.58973	−	3.01215i	−0.161022	−	0.135113i
$498$	−22.9083	+	8.33793i	−1.02654	+	0.373631i
$499$	−3.40309	−	19.2999i	−0.152343	−	0.863982i	−0.961175	−	0.275941i	$-0.911011\pi$
$499$	−3.40309	−	19.2999i	−0.152343	−	0.863982i	0.808831	−	0.588041i	$-0.200101\pi$
$500$	−0.173648	−	0.984808i	−0.00776578	−	0.0440419i
$501$	−53.3044	+	19.4012i	−2.38146	+	0.866782i
$502$	6.26029	+	5.25300i	0.279410	+	0.234453i
$503$	9.77706	+	8.20393i	0.435937	+	0.365795i	0.834187	−	0.551482i	$-0.185938\pi$
$503$	9.77706	+	8.20393i	0.435937	+	0.365795i	−0.398249	+	0.917277i	$0.630382\pi$
$504$	6.70258	+	11.6092i	0.298557	+	0.517115i
$505$	0.572770	+	0.208471i	0.0254879	+	0.00927684i
$506$	0.879380	−	4.98721i	0.0390932	−	0.221709i
$507$	−6.94135	+	12.0228i	−0.308276	+	0.533950i
$508$	−6.83195	−	11.8333i	−0.303119	−	0.525017i
$509$	−21.0827	+	7.67348i	−0.934475	+	0.340121i	−0.763982	−	0.645238i	$-0.776758\pi$
$509$	−21.0827	+	7.67348i	−0.934475	+	0.340121i	−0.170493	+	0.985359i	$0.554536\pi$
$510$	−9.51436	+	16.4794i	−0.421303	+	0.729718i
$511$	9.78622	−	8.21161i	0.432917	−	0.363260i
$512$	1.00000			0.0441942
$513$	16.1970	−	13.5909i	0.715113	−	0.600051i
$514$	−23.7834	−	8.65647i	−1.04904	−	0.381820i
$515$	−0.607065	−	3.44284i	−0.0267505	−	0.151710i
$516$	2.76294	−	15.6694i	0.121631	−	0.689806i
$517$	−4.81278			−0.211666
$518$	−6.42372	+	17.5603i	−0.282242	+	0.771555i
$519$	−15.5136			−0.680973
$520$	−0.487548	+	2.76502i	−0.0213804	+	0.121254i
$521$	−1.55008	−	8.79091i	−0.0679100	−	0.385137i	−0.999752	−	0.0222724i	$-0.992910\pi$
$521$	−1.55008	−	8.79091i	−0.0679100	−	0.385137i	0.931842	−	0.362865i	$-0.118201\pi$
$522$	34.3630	+	12.5071i	1.50403	+	0.547421i
$523$	−8.63288	+	7.24385i	−0.377489	+	0.316751i	−0.811716	−	0.584052i	$-0.801466\pi$
$523$	−8.63288	+	7.24385i	−0.377489	+	0.316751i	0.434226	+	0.900804i	$0.357022\pi$
$524$	17.4627			0.762862
$525$	6.38881	−	5.36085i	0.278830	−	0.233966i
$526$	−8.05788	+	13.9567i	−0.351340	+	0.608539i
$527$	−39.4725	+	14.3668i	−1.71945	+	0.625828i
$528$	−2.18850	−	3.79059i	−0.0952421	−	0.164964i
$529$	6.57328	−	11.3853i	0.285795	−	0.495011i
$530$	2.28525	−	12.9603i	0.0992650	−	0.562960i
$531$	8.08018	+	2.94095i	0.350650	+	0.127626i
$532$	−8.80200	−	15.2455i	−0.381615	−	0.660977i
$533$	20.0661	+	16.8375i	0.869160	+	0.729312i
$534$	4.01986	+	3.37306i	0.173956	+	0.145967i
$535$	−14.0629	+	5.11846i	−0.607990	+	0.221290i
$536$	1.20868	+	6.85479i	0.0522072	+	0.296082i
$537$	6.60865	+	37.4795i	0.285184	+	1.61736i
$538$	13.9481	−	5.07671i	0.601347	−	0.218873i
$539$	−3.02710	−	2.54003i	−0.130386	−	0.109407i
$540$	2.82829	+	2.37322i	0.121710	+	0.102127i
$541$	−20.4286	−	35.3835i	−0.878296	−	1.52125i	−0.853209	−	0.521568i	$-0.825347\pi$
$541$	−20.4286	−	35.3835i	−0.878296	−	1.52125i	−0.0250867	−	0.999685i	$-0.507986\pi$
$542$	−14.1719	−	5.15814i	−0.608734	−	0.221561i
$543$	3.26424	−	18.5124i	0.140082	−	0.794445i
$544$	−3.50684	+	6.07403i	−0.150355	+	0.260422i
$545$	−1.81269	−	3.13968i	−0.0776472	−	0.134489i
$546$	−22.0039	+	8.00875i	−0.941679	+	0.342743i
$547$	−16.6818	+	28.8937i	−0.713262	+	1.23541i	0.250364	+	0.968152i	$0.419450\pi$
$547$	−16.6818	+	28.8937i	−0.713262	+	1.23541i	−0.963626	+	0.267254i	$0.913884\pi$
$548$	−6.39642	+	5.36723i	−0.273241	+	0.229277i
$549$	33.0873			1.41213
$550$	−1.23585	+	1.03700i	−0.0526969	+	0.0442179i
$551$	−45.1264	−	16.4247i	−1.92245	−	0.699714i
$552$	1.47886	+	8.38704i	0.0629446	+	0.356976i
$553$	−1.33307	+	7.56021i	−0.0566879	+	0.321493i
$554$	21.8183			0.926972
$555$	−0.0267839	+	16.5030i	−0.00113691	+	0.700515i
$556$	−15.1206			−0.641255
$557$	−5.15996	+	29.2636i	−0.218635	+	1.23994i	0.655852	+	0.754890i	$0.272310\pi$
$557$	−5.15996	+	29.2636i	−0.218635	+	1.23994i	−0.874487	+	0.485050i	$0.838802\pi$
$558$	4.53527	+	25.7208i	0.191993	+	1.08885i
$559$	15.4728	+	5.63166i	0.654432	+	0.238194i
$560$	2.35481	−	1.97592i	0.0995089	−	0.0834979i
$561$	30.6988			1.29611
$562$	12.7901	−	10.7321i	0.539516	−	0.452708i
$563$	13.5754	−	23.5133i	0.572135	−	0.990967i	−0.424211	−	0.905563i	$-0.639449\pi$
$563$	13.5754	−	23.5133i	0.572135	−	0.990967i	0.996346	−	0.0854041i	$-0.0272181\pi$
$564$	7.60560	−	2.76821i	0.320253	−	0.116563i
$565$	10.3223	+	17.8787i	0.434260	+	0.752161i
$566$	−12.6539	+	21.9171i	−0.531881	+	0.921245i
$567$	1.63640	−	9.28046i	0.0687221	−	0.389743i
$568$	−1.43249	−	0.521384i	−0.0601060	−	0.0218768i
$569$	17.9354	+	31.0650i	0.751891	+	1.30231i	0.946905	+	0.321513i	$0.104191\pi$
$569$	17.9354	+	31.0650i	0.751891	+	1.30231i	−0.195014	+	0.980800i	$0.562475\pi$
$570$	−11.9022	−	9.98713i	−0.498528	−	0.418315i
$571$	16.4277	+	13.7845i	0.687478	+	0.576863i	0.918181	−	0.396161i	$-0.129658\pi$
$571$	16.4277	+	13.7845i	0.687478	+	0.576863i	−0.230702	+	0.973024i	$0.574102\pi$
$572$	4.25643	−	1.54921i	0.177970	−	0.0647759i
$573$	−3.70204	−	20.9953i	−0.154655	−	0.877091i
$574$	−4.98006	−	28.2433i	−0.207864	−	1.17885i
$575$	2.94971	−	1.07361i	0.123011	−	0.0447725i
$576$	3.34060	+	2.80309i	0.139192	+	0.116796i
$577$	4.51153	+	3.78562i	0.187817	+	0.157597i	0.731848	−	0.681468i	$-0.238658\pi$
$577$	4.51153	+	3.78562i	0.187817	+	0.157597i	−0.544031	+	0.839065i	$0.683103\pi$
$578$	−16.0959	−	27.8788i	−0.669499	−	1.15961i
$579$	16.2380	+	5.91016i	0.674829	+	0.245618i
$580$	1.45615	−	8.25822i	0.0604632	−	0.342904i
$581$	−13.8107	+	23.9208i	−0.572963	+	0.992401i
$582$	−16.5264	−	28.6245i	−0.685040	−	1.18652i
$583$	−19.9509	+	7.26153i	−0.826281	+	0.300742i
$584$	2.07792	−	3.59906i	0.0859849	−	0.148930i
$585$	−9.37932	+	7.87019i	−0.387787	+	0.325392i
$586$	−22.2730			−0.920087
$587$	7.90885	−	6.63632i	0.326433	−	0.273910i	−0.464811	−	0.885410i	$-0.653878\pi$
$587$	7.90885	−	6.63632i	0.326433	−	0.273910i	0.791245	+	0.611500i	$0.209433\pi$
$588$	6.24467	+	2.27287i	0.257526	+	0.0937317i
$589$	−5.95583	−	33.7772i	−0.245406	−	1.39176i
$590$	0.342401	−	1.94185i	0.0140964	−	0.0799449i
$591$	−62.2108			−2.55901
$592$	−0.00987212	+	6.08275i	−0.000405742	+	0.250000i
$593$	−18.2722			−0.750351			−0.375176	−	0.926954i	$-0.622418\pi$
$593$	−18.2722			−0.750351			−0.375176	+	0.926954i	$0.622418\pi$
$594$	1.03432	−	5.86589i	0.0424385	−	0.240680i
$595$	3.74385	+	21.2324i	0.153483	+	0.870445i
$596$	0.257157	+	0.0935974i	0.0105336	+	0.00383390i
$597$	27.7505	−	23.2854i	1.13575	−	0.953009i
$598$	−8.81335			−0.360405
$599$	−8.86568	+	7.43919i	−0.362242	+	0.303957i	−0.805684	−	0.592346i	$-0.798202\pi$
$599$	−8.86568	+	7.43919i	−0.362242	+	0.303957i	0.443442	+	0.896303i	$0.353757\pi$
$600$	1.35654	−	2.34960i	0.0553806	−	0.0959221i
$601$	−5.38362	+	1.95948i	−0.219602	+	0.0799288i	−0.449478	−	0.893291i	$-0.648390\pi$
$601$	−5.38362	+	1.95948i	−0.219602	+	0.0799288i	0.229876	+	0.973220i	$0.426168\pi$
$602$	−9.01383	−	15.6124i	−0.367376	−	0.636314i
$603$	−15.1769	+	26.2871i	−0.618051	+	1.07050i
$604$	−1.41452	+	8.02216i	−0.0575561	+	0.326417i
$605$	−7.89088	−	2.87204i	−0.320810	−	0.116765i
$606$	0.826852	+	1.43215i	0.0335886	+	0.0581771i
$607$	17.1208	+	14.3661i	0.694912	+	0.583101i	0.920321	−	0.391164i	$-0.127927\pi$
$607$	17.1208	+	14.3661i	0.694912	+	0.583101i	−0.225409	+	0.974264i	$0.572372\pi$
$608$	−4.38696	−	3.68109i	−0.177915	−	0.149288i
$609$	65.7184	−	23.9195i	2.66304	−	0.969268i
$610$	−1.31753	−	7.47211i	−0.0533454	−	0.302537i
$611$	1.45446	+	8.24865i	0.0588411	+	0.333704i
$612$	−28.7410	+	10.4609i	−1.16179	+	0.422856i
$613$	−8.53055	−	7.15799i	−0.344546	−	0.289108i	0.454050	−	0.890976i	$-0.349979\pi$
$613$	−8.53055	−	7.15799i	−0.344546	−	0.289108i	−0.798596	+	0.601868i	$0.794423\pi$
$614$	−4.54166	−	3.81090i	−0.183286	−	0.153796i
$615$	−12.6560	−	21.9208i	−0.510338	−	0.883931i
$616$	−4.66015	−	1.69616i	−0.187763	−	0.0683401i
$617$	−5.09524	+	28.8965i	−0.205127	+	1.16333i	0.692114	+	0.721789i	$0.256680\pi$
$617$	−5.09524	+	28.8965i	−0.205127	+	1.16333i	−0.897240	+	0.441543i	$0.854431\pi$
$618$	4.74240	−	8.21409i	0.190767	−	0.330419i
$619$	−19.3238	−	33.4699i	−0.776690	−	1.34527i	−0.933839	−	0.357692i	$-0.883564\pi$
$619$	−19.3238	−	33.4699i	−0.776690	−	1.34527i	0.157149	−	0.987575i	$-0.449770\pi$
$620$	5.62792	−	2.04840i	0.226023	−	0.0822656i
$621$	−5.79474	+	10.0368i	−0.232535	+	0.402762i
$622$	−23.7639	+	19.9403i	−0.952844	+	0.799531i
$623$	5.94560			0.238205
$624$	−5.83533	+	4.89642i	−0.233600	+	0.196014i
$625$	−0.939693	−	0.342020i	−0.0375877	−	0.0136808i
$626$	−2.09584	−	11.8861i	−0.0837665	−	0.475063i
$627$	−4.35267	+	24.6852i	−0.173829	+	0.985832i
$628$	−4.29023			−0.171199
$629$	−36.9122	−	21.3912i	−1.47179	−	0.852924i
$630$	13.4052			0.534075
$631$	−2.69318	+	15.2738i	−0.107214	+	0.608039i	0.883099	+	0.469186i	$0.155453\pi$
$631$	−2.69318	+	15.2738i	−0.107214	+	0.608039i	−0.990313	+	0.138853i	$0.955658\pi$
$632$	0.433661	+	2.45942i	0.0172501	+	0.0978303i
$633$	−30.4060	−	11.0669i	−1.20853	−	0.439869i
$634$	4.41190	−	3.70202i	0.175219	−	0.147026i
$635$	−13.6639			−0.542235
$636$	27.3515	−	22.9507i	1.08456	−	0.910052i
$637$	−3.43857	+	5.95577i	−0.136241	+	0.235976i
$638$	−12.7126	+	4.62700i	−0.503295	+	0.183185i
$639$	−3.32389	−	5.75714i	−0.131491	−	0.227749i
$640$	0.500000	−	0.866025i	0.0197642	−	0.0342327i
$641$	2.45701	−	13.9344i	0.0970462	−	0.550377i	−0.897055	−	0.441919i	$-0.854298\pi$
$641$	2.45701	−	13.9344i	0.0970462	−	0.550377i	0.994101	−	0.108457i	$-0.0345911\pi$
$642$	−38.1537	−	13.8868i	−1.50581	−	0.548069i
$643$	−2.45032	−	4.24409i	−0.0966313	−	0.167370i	0.813657	−	0.581345i	$-0.197473\pi$
$643$	−2.45032	−	4.24409i	−0.0966313	−	0.167370i	−0.910288	+	0.413975i	$0.864140\pi$
$644$	7.39179	+	6.20245i	0.291278	+	0.244411i
$645$	−12.1886	−	10.2275i	−0.479927	−	0.402706i
$646$	37.7434	−	13.7375i	1.48499	−	0.540494i
$647$	−0.618832	−	3.50957i	−0.0243288	−	0.137975i	0.970224	−	0.242209i	$-0.0778721\pi$
$647$	−0.618832	−	3.50957i	−0.0243288	−	0.137975i	−0.994553	+	0.104234i	$0.966761\pi$
$648$	−0.532336	−	3.01903i	−0.0209121	−	0.118599i
$649$	−2.98926	+	1.08800i	−0.117339	+	0.0427078i
$650$	2.15081	+	1.80474i	0.0843616	+	0.0707878i
$651$	38.2633	+	32.1067i	1.49966	+	1.25836i
$652$	3.85309	+	6.67375i	0.150899	+	0.261364i
$653$	−9.90286	−	3.60435i	−0.387529	−	0.141049i	0.140906	−	0.990023i	$-0.454999\pi$
$653$	−9.90286	−	3.60435i	−0.387529	−	0.141049i	−0.528435	+	0.848974i	$0.677221\pi$
$654$	1.70800	−	9.68655i	0.0667881	−	0.378774i
$655$	8.73135	−	15.1232i	0.341162	−	0.590910i
$656$	−4.66479	−	8.07965i	−0.182129	−	0.315457i
$657$	17.0300	−	6.19841i	0.664403	−	0.241823i
$658$	4.58517	−	7.94176i	0.178749	−	0.309602i
$659$	16.7903	−	14.0888i	0.654058	−	0.548820i	−0.254241	−	0.967141i	$-0.581826\pi$
$659$	16.7903	−	14.0888i	0.654058	−	0.548820i	0.908299	+	0.418321i	$0.137381\pi$
$660$	−4.37699			−0.170374
$661$	−38.7030	+	32.4756i	−1.50537	+	1.26316i	−0.633165	+	0.774017i	$0.718244\pi$
$661$	−38.7030	+	32.4756i	−1.50537	+	1.26316i	−0.872206	+	0.489139i	$0.837311\pi$
$662$	13.3046	+	4.84248i	0.517099	+	0.188208i
$663$	−9.27742	−	52.6149i	−0.360305	−	2.04339i
$664$	−1.56032	+	8.84900i	−0.0605521	+	0.343408i
$665$	−17.6040			−0.682654
$666$	−17.0835	+	20.2924i	−0.661972	+	0.786313i
$667$	26.3226			1.01922
$668$	−3.63064	+	20.5904i	−0.140474	+	0.796667i
$669$	−5.26121	−	29.8378i	−0.203410	−	1.15360i
$670$	6.54077	+	2.38064i	0.252692	+	0.0919723i
$671$	−9.37687	+	7.86813i	−0.361990	+	0.303746i
$672$	8.33999			0.321722
$673$	20.3735	−	17.0954i	0.785341	−	0.658980i	−0.159246	−	0.987239i	$-0.550906\pi$
$673$	20.3735	−	17.0954i	0.785341	−	0.658980i	0.944588	+	0.328259i	$0.106462\pi$
$674$	−16.6279	+	28.8003i	−0.640481	+	1.10935i
$675$	3.46941	−	1.26276i	0.133538	−	0.0486038i
$676$	2.55847	+	4.43140i	0.0984027	+	0.170438i
$677$	10.7418	−	18.6054i	0.412843	−	0.715065i	−0.582357	−	0.812933i	$-0.697869\pi$
$677$	10.7418	−	18.6054i	0.412843	−	0.715065i	0.995199	+	0.0978689i	$0.0312026\pi$
$678$	−9.72609	+	55.1594i	−0.373528	+	2.11838i
$679$	−35.1910	−	12.8085i	−1.35051	−	0.491544i
$680$	3.50684	+	6.07403i	0.134481	+	0.232928i
$681$	39.1386	+	32.8412i	1.49979	+	1.25848i
$682$	−7.40165	−	6.21072i	−0.283424	−	0.237821i
$683$	−2.46432	+	0.896941i	−0.0942947	+	0.0343205i	−0.388737	−	0.921349i	$-0.627088\pi$
$683$	−2.46432	+	0.896941i	−0.0942947	+	0.0343205i	0.294442	+	0.955669i	$0.404866\pi$
$684$	−4.33660	−	24.5941i	−0.165814	−	0.940379i
$685$	1.44995	+	8.22308i	0.0553997	+	0.314188i
$686$	−13.1449	+	4.78434i	−0.501874	+	0.182667i
$687$	47.7263	+	40.0472i	1.82087	+	1.52789i
$688$	−4.49253	−	3.76968i	−0.171276	−	0.143718i
$689$	18.4749	+	31.9994i	0.703836	+	1.21908i
$690$	8.00282	+	2.91279i	0.304662	+	0.110888i
$691$	4.91244	−	27.8598i	0.186878	−	1.05984i	−0.736641	−	0.676284i	$-0.763589\pi$
$691$	4.91244	−	27.8598i	0.186878	−	1.05984i	0.923519	−	0.383554i	$-0.125300\pi$
$692$	−2.85904	+	4.95200i	−0.108684	+	0.188247i
$693$	−10.8132	−	18.7290i	−0.410760	−	0.711457i
$694$	−19.4304	+	7.07209i	−0.737568	+	0.268453i
$695$	−7.56028	+	13.0948i	−0.286778	+	0.496714i
$696$	17.4282	−	14.6240i	0.660615	−	0.554321i
$697$	65.4347			2.47851
$698$	20.3977	−	17.1157i	0.772064	−	0.647839i
$699$	57.2336	+	20.8313i	2.16477	+	0.787913i
$700$	−0.533792	−	3.02729i	−0.0201755	−	0.114421i
$701$	−1.21103	+	6.86810i	−0.0457400	+	0.259405i	−0.999099	−	0.0424332i	$-0.986489\pi$
$701$	−1.21103	+	6.86810i	−0.0457400	+	0.259405i	0.953359	+	0.301838i	$0.0976001\pi$
$702$	−10.3662			−0.391245
$703$	22.4345	−	26.6484i	0.846133	−	1.00506i
$704$	−1.61329			−0.0608031
$705$	1.40546	−	7.97074i	0.0529326	−	0.300196i
$706$	4.91129	+	27.8533i	0.184839	+	1.04827i
$707$	1.76069	+	0.640837i	0.0662174	+	0.0241012i
$708$	4.09810	−	3.43872i	0.154016	−	0.129235i
$709$	3.00818			0.112975			0.0564874	−	0.998403i	$-0.482010\pi$
$709$	3.00818			0.112975			0.0564874	+	0.998403i	$0.482010\pi$
$710$	−1.16778	+	0.979882i	−0.0438259	+	0.0367743i
$711$	−5.44528	+	9.43151i	−0.204214	+	0.353709i
$712$	1.81752	−	0.661523i	0.0681144	−	0.0247916i
$713$	9.39997	+	16.2812i	0.352031	+	0.609736i
$714$	−29.2470	+	50.6573i	−1.09454	+	1.89580i
$715$	0.786557	−	4.46078i	0.0294156	−	0.166824i
$716$	13.1815	+	4.79767i	0.492615	+	0.179297i
$717$	−9.00921	−	15.6044i	−0.336455	−	0.582758i
$718$	−5.84262	−	4.90254i	−0.218045	−	0.182961i
$719$	14.6073	+	12.2569i	0.544759	+	0.457107i	0.873162	−	0.487431i	$-0.162066\pi$
$719$	14.6073	+	12.2569i	0.544759	+	0.457107i	−0.328403	+	0.944538i	$0.606510\pi$
$720$	4.09785	−	1.49149i	0.152718	−	0.0555847i
$721$	−1.86611	−	10.5832i	−0.0694976	−	0.394140i
$722$	2.39562	+	13.5862i	0.0891558	+	0.505628i
$723$	51.9713	−	18.9160i	1.93283	−	0.703494i
$724$	−5.30765	−	4.45365i	−0.197257	−	0.165519i
$725$	−6.42376	−	5.39017i	−0.238572	−	0.200186i
$726$	−11.3913	−	19.7303i	−0.422771	−	0.732260i
$727$	11.7560	+	4.27884i	0.436007	+	0.158694i	0.550692	−	0.834708i	$-0.314364\pi$
$727$	11.7560	+	4.27884i	0.436007	+	0.158694i	−0.114685	+	0.993402i	$0.536586\pi$
$728$	−1.49872	+	8.49965i	−0.0555462	+	0.315018i
$729$	21.7097	−	37.6022i	0.804062	−	1.39268i
$730$	−2.07792	−	3.59906i	−0.0769072	−	0.133207i
$731$	38.6517	−	14.0681i	1.42959	−	0.520327i
$732$	10.2926	−	17.8273i	0.380426	−	0.658916i
$733$	39.1740	−	32.8709i	1.44692	−	1.21411i	0.512138	−	0.858903i	$-0.328854\pi$
$733$	39.1740	−	32.8709i	1.44692	−	1.21411i	0.934786	−	0.355211i	$-0.115591\pi$
$734$	−15.1350			−0.558643
$735$	5.09070	−	4.27160i	0.187773	−	0.157560i
$736$	2.94971	+	1.07361i	0.108728	+	0.0395737i
$737$	−1.94996	−	11.0588i	−0.0718277	−	0.407355i
$738$	7.06484	−	40.0667i	0.260060	−	1.47487i
$739$	−51.9549			−1.91119			−0.955596	−	0.294681i	$-0.904787\pi$
$739$	−51.9549			−1.91119			−0.955596	+	0.294681i	$0.904787\pi$
$740$	5.26288	+	3.04993i	0.193467	+	0.112118i
$741$	43.6235			1.60255
$742$	7.02484	−	39.8398i	0.257890	−	1.46257i
$743$	3.56401	+	20.2125i	0.130751	+	0.741525i	0.977725	+	0.209891i	$0.0673109\pi$
$743$	3.56401	+	20.2125i	0.130751	+	0.741525i	−0.846974	+	0.531634i	$0.821578\pi$
$744$	15.2690	+	5.55748i	0.559790	+	0.203747i
$745$	0.209636	−	0.175906i	0.00768048	−	0.00644468i
$746$	−2.26793			−0.0830348
$747$	−30.0170	+	25.1872i	−1.09826	+	0.921552i
$748$	5.65755	−	9.79916i	0.206860	−	0.358293i
$749$	−43.2290	+	15.7341i	−1.57955	+	0.574911i
$750$	−1.35654	−	2.34960i	−0.0495340	−	0.0857953i
$751$	5.48354	−	9.49778i	0.200097	−	0.346579i	−0.748462	−	0.663177i	$-0.769207\pi$
$751$	5.48354	−	9.49778i	0.200097	−	0.346579i	0.948560	+	0.316599i	$0.102541\pi$
$752$	0.518029	−	2.93789i	0.0188906	−	0.107134i
$753$	20.8348	+	7.58325i	0.759263	+	0.276349i
$754$	11.7721	+	20.3898i	0.428713	+	0.742553i
$755$	6.24013	+	5.23609i	0.227102	+	0.190561i
$756$	8.69413	+	7.29525i	0.316203	+	0.265326i
$757$	26.7625	−	9.74077i	0.972701	−	0.354034i	0.193703	−	0.981060i	$-0.437950\pi$
$757$	26.7625	−	9.74077i	0.972701	−	0.354034i	0.778998	+	0.627026i	$0.215728\pi$
$758$	−2.58476	−	14.6589i	−0.0938826	−	0.532434i
$759$	−2.38583	−	13.5307i	−0.0866002	−	0.491134i
$760$	−5.38140	+	1.95867i	−0.195204	+	0.0710484i
$761$	−2.08265	−	1.74755i	−0.0754962	−	0.0633488i	0.604259	−	0.796788i	$-0.293469\pi$
$761$	−2.08265	−	1.74755i	−0.0754962	−	0.0633488i	−0.679755	+	0.733439i	$0.737914\pi$
$762$	−28.3983	−	23.8290i	−1.02876	−	0.863233i
$763$	−5.57219	−	9.65132i	−0.201727	−	0.349401i
$764$	−7.38402	−	2.68756i	−0.267144	−	0.0972326i
$765$	−5.31112	+	30.1209i	−0.192024	+	1.08902i
$766$	1.64099	−	2.84229i	0.0592916	−	0.102696i
$767$	2.76811	+	4.79450i	0.0999505	+	0.173119i
$768$	2.54947	−	0.927930i	0.0919960	−	0.0334838i
$769$	17.2420	−	29.8640i	0.621762	−	1.07692i	−0.367396	−	0.930065i	$-0.619751\pi$
$769$	17.2420	−	29.8640i	0.621762	−	1.07692i	0.989158	−	0.146858i	$-0.0469161\pi$
$770$	−3.79899	+	3.18773i	−0.136906	+	0.114878i
$771$	−68.6677			−2.47301
$772$	4.87908	−	4.09403i	0.175602	−	0.147347i
$773$	−10.3798	−	3.77794i	−0.373335	−	0.135883i	0.148536	−	0.988907i	$-0.452544\pi$
$773$	−10.3798	−	3.77794i	−0.373335	−	0.135883i	−0.521872	+	0.853024i	$0.674766\pi$
$774$	−4.44096	−	25.1860i	−0.159627	−	0.905291i
$775$	1.04000	−	5.89812i	0.0373578	−	0.211867i
$776$	−12.1827			−0.437333
$777$	−0.0823334	+	50.7301i	−0.00295369	+	1.81993i
$778$	36.7194			1.31645
$779$	−9.27772	+	52.6166i	−0.332409	+	1.88518i
$780$	1.32276	+	7.50175i	0.0473624	+	0.268606i
$781$	2.31102	+	0.841144i	0.0826949	+	0.0300985i
$782$	−16.8653	+	14.1517i	−0.603101	+	0.506062i
$783$	30.9603			1.10643
$784$	1.87635	−	1.57444i	0.0670125	−	0.0562302i
$785$	−2.14512	+	3.71545i	−0.0765625	+	0.132610i
$786$	44.5206	−	16.2042i	1.58800	−	0.577984i
$787$	−27.2837	−	47.2567i	−0.972559	−	1.68452i	−0.687767	−	0.725932i	$-0.741409\pi$
$787$	−27.2837	−	47.2567i	−0.972559	−	1.68452i	−0.284792	−	0.958589i	$-0.591924\pi$
$788$	−11.4650	+	19.8579i	−0.408422	+	0.707408i
$789$	−7.59250	+	43.0592i	−0.270300	+	1.53295i
$790$	2.34675	+	0.854146i	0.0834935	+	0.0303891i
$791$	31.7305	+	54.9588i	1.12821	+	1.95411i
$792$	−5.38935	−	4.52220i	−0.191502	−	0.160689i
$793$	16.3190	+	13.6933i	0.579504	+	0.486262i
$794$	−10.0743	+	3.66674i	−0.357523	+	0.130128i
$795$	−6.20009	−	35.1624i	−0.219894	−	1.24708i
$796$	−2.31859	−	13.1494i	−0.0821801	−	0.466067i
$797$	30.9643	−	11.2701i	1.09681	−	0.399207i	0.270673	−	0.962671i	$-0.412754\pi$
$797$	30.9643	−	11.2701i	1.09681	−	0.399207i	0.826141	+	0.563464i	$0.190532\pi$
$798$	−36.5872	−	30.7003i	−1.29517	−	1.08678i
$799$	16.0282	+	13.4492i	0.567036	+	0.475799i
$800$	−0.500000	−	0.866025i	−0.0176777	−	0.0306186i
$801$	7.92591	+	2.88479i	0.280048	+	0.101929i
$802$	−2.60809	+	14.7912i	−0.0920948	+	0.522295i
$803$	−3.35229	+	5.80633i	−0.118300	+	0.204901i
$804$	9.44227	+	16.3545i	0.333003	+	0.576779i
$805$	9.06738	−	3.30026i	0.319583	−	0.116319i
$806$	−8.40775	+	14.5627i	−0.296150	+	0.512948i
$807$	30.8495	−	25.8858i	1.08595	−	0.911224i
$808$	0.609529			0.0214431
$809$	26.0260	−	21.8384i	0.915025	−	0.767797i	−0.0580433	−	0.998314i	$-0.518486\pi$
$809$	26.0260	−	21.8384i	0.915025	−	0.767797i	0.973068	+	0.230517i	$0.0740417\pi$
$810$	−2.88072	−	1.04850i	−0.101218	−	0.0368405i
$811$	0.970619	+	5.50465i	0.0340830	+	0.193295i	0.997095	−	0.0761627i	$-0.0242668\pi$
$811$	0.970619	+	5.50465i	0.0340830	+	0.193295i	−0.963012	+	0.269457i	$0.913156\pi$
$812$	4.47618	−	25.3857i	0.157083	−	0.890863i
$813$	−40.9171			−1.43503
$814$	0.0159266	−	9.81324i	0.000558226	−	0.343954i
$815$	7.70618			0.269936
$816$	−3.30430	+	18.7396i	−0.115674	+	0.656018i
$817$	5.83199	+	33.0748i	0.204035	+	1.15714i
$818$	−13.9802	−	5.08836i	−0.488805	−	0.177910i
$819$	−28.8319	+	24.1929i	−1.00747	+	0.845367i
$820$	−9.32958			−0.325803
$821$	23.0905	−	19.3753i	0.805866	−	0.676202i	−0.143752	−	0.989614i	$-0.545917\pi$
$821$	23.0905	−	19.3753i	0.805866	−	0.676202i	0.949617	+	0.313412i	$0.101472\pi$
$822$	−11.3270	+	19.6190i	−0.395076	+	0.684292i
$823$	3.60928	−	1.31367i	0.125812	−	0.0457917i	−0.278347	−	0.960481i	$-0.589787\pi$
$823$	3.60928	−	1.31367i	0.125812	−	0.0457917i	0.404159	+	0.914689i	$0.367564\pi$
$824$	−1.74797	−	3.02758i	−0.0608936	−	0.105471i
$825$	−2.18850	+	3.79059i	−0.0761937	+	0.131971i
$826$	1.05254	−	5.96924i	0.0366225	−	0.207696i
$827$	−16.0576	−	5.84447i	−0.558376	−	0.203232i	0.0473880	−	0.998877i	$-0.484910\pi$
$827$	−16.0576	−	5.84447i	−0.558376	−	0.203232i	−0.605764	+	0.795644i	$0.707132\pi$
$828$	6.84438	+	11.8548i	0.237858	+	0.411983i
$829$	41.3887	+	34.7293i	1.43749	+	1.20620i	0.941114	+	0.338089i	$0.109781\pi$
$829$	41.3887	+	34.7293i	1.43749	+	1.20620i	0.496375	+	0.868108i	$0.334664\pi$
$830$	6.88330	+	5.77577i	0.238923	+	0.200480i
$831$	55.6251	−	20.2459i	1.92961	−	0.702322i
$832$	0.487548	+	2.76502i	0.0169027	+	0.0958600i
$833$	2.98316	+	16.9183i	0.103360	+	0.586185i
$834$	−38.5494	+	14.0308i	−1.33486	+	0.485848i
$835$	16.0165	+	13.4394i	0.554273	+	0.465091i
$836$	7.07743	+	5.93867i	0.244778	+	0.205393i
$837$	11.0561	+	19.1498i	0.382155	+	0.661913i
$838$	12.3288	+	4.48731i	0.425891	+	0.155012i
$839$	4.54509	−	25.7765i	0.156914	−	0.889903i	−0.800101	−	0.599865i	$-0.795221\pi$
$839$	4.54509	−	25.7765i	0.156914	−	0.889903i	0.957015	−	0.290038i	$-0.0936680\pi$
$840$	4.17000	−	7.22265i	0.143879	−	0.249205i
$841$	−20.6593	−	35.7830i	−0.712390	−	1.23390i
$842$	14.4363	−	5.25437i	0.497507	−	0.181078i
$843$	22.6492	−	39.2295i	0.780079	−	1.35114i
$844$	−9.13617	+	7.66616i	−0.314480	+	0.263880i
$845$	5.11694			0.176028
$846$	9.96570	−	8.36221i	0.342628	−	0.287499i
$847$	−24.2565	−	8.82863i	−0.833462	−	0.303355i
$848$	−2.28525	−	12.9603i	−0.0784759	−	0.445059i
$849$	−11.9230	+	67.6189i	−0.409197	+	2.32067i
$850$	7.01368			0.240567
$851$	−6.55961	+	17.9318i	−0.224861	+	0.614693i
$852$	−4.13590			−0.141694
$853$	8.16572	−	46.3101i	0.279589	−	1.58563i	−0.444408	−	0.895824i	$-0.646586\pi$
$853$	8.16572	−	46.3101i	0.279589	−	1.58563i	0.723997	−	0.689803i	$-0.242303\pi$
$854$	−4.05008	−	22.9692i	−0.138591	−	0.785989i
$855$	−23.4674	−	8.54144i	−0.802569	−	0.292111i
$856$	−11.4641	+	9.61956i	−0.391836	+	0.328790i
$857$	−1.26686			−0.0432750			−0.0216375	−	0.999766i	$-0.506888\pi$
$857$	−1.26686			−0.0432750			−0.0216375	+	0.999766i	$0.506888\pi$
$858$	9.41407	−	7.89934i	0.321391	−	0.269679i
$859$	4.86794	−	8.43152i	0.166092	−	0.287680i	−0.770950	−	0.636895i	$-0.780218\pi$
$859$	4.86794	−	8.43152i	0.166092	−	0.287680i	0.937043	+	0.349215i	$0.113552\pi$
$860$	−5.51090	+	2.00580i	−0.187920	+	0.0683974i
$861$	−38.9043	−	67.3842i	−1.32586	−	2.29645i
$862$	1.21956	−	2.11234i	0.0415383	−	0.0719465i
$863$	6.08363	−	34.5020i	0.207089	−	1.17446i	−0.687029	−	0.726630i	$-0.741086\pi$
$863$	6.08363	−	34.5020i	0.207089	−	1.17446i	0.894118	−	0.447831i	$-0.147803\pi$
$864$	3.46941	+	1.26276i	0.118032	+	0.0429601i
$865$	2.85904	+	4.95200i	0.0972103	+	0.168373i
$866$	15.9715	+	13.4017i	0.542733	+	0.455407i
$867$	−66.9055	−	56.1404i	−2.27223	−	1.90663i
$868$	17.3002	−	6.29675i	0.587206	−	0.213726i
$869$	−0.699621	−	3.96775i	−0.0237330	−	0.134597i
$870$	−3.95065	−	22.4053i	−0.133940	−	0.759610i
$871$	−18.3644	+	6.68409i	−0.622253	+	0.226482i
$872$	−2.77721	−	2.33035i	−0.0940481	−	0.0789157i
$873$	−40.6975	−	34.1492i	−1.37740	−	1.15578i
$874$	−8.98821	−	15.5680i	−0.304031	−	0.526597i
$875$	−2.88860	−	1.05137i	−0.0976526	−	0.0355426i
$876$	1.95791	−	11.1039i	0.0661516	−	0.375164i
$877$	−12.3982	+	21.4743i	−0.418657	+	0.725134i	−0.995805	−	0.0915051i	$-0.970832\pi$
$877$	−12.3982	+	21.4743i	−0.418657	+	0.725134i	0.577148	+	0.816640i	$0.304166\pi$
$878$	−10.0613	−	17.4267i	−0.339552	−	0.588121i
$879$	−56.7842	+	20.6677i	−1.91528	+	0.697106i
$880$	−0.806645	+	1.39715i	−0.0271920	+	0.0470979i
$881$	−14.1224	+	11.8501i	−0.475795	+	0.399239i	−0.848903	−	0.528549i	$-0.822736\pi$
$881$	−14.1224	+	11.8501i	−0.475795	+	0.399239i	0.373108	+	0.927788i	$0.378292\pi$
$882$	10.6814			0.359663
$883$	10.8506	−	9.10474i	0.365152	−	0.306399i	−0.441688	−	0.897169i	$-0.645620\pi$
$883$	10.8506	−	9.10474i	0.365152	−	0.306399i	0.806840	+	0.590770i	$0.201176\pi$
$884$	−18.5046	−	6.73512i	−0.622376	−	0.226526i
$885$	−0.928965	−	5.26842i	−0.0312268	−	0.177096i
$886$	6.69400	−	37.9635i	0.224889	−	1.27541i
$887$	−29.2306			−0.981466			−0.490733	−	0.871310i	$-0.663271\pi$
$887$	−29.2306			−0.981466			−0.490733	+	0.871310i	$0.663271\pi$
$888$	5.61920	+	15.5169i	0.188568	+	0.520715i
$889$	−42.0026			−1.40872
$890$	0.335864	−	1.90478i	0.0112582	−	0.0638483i
$891$	0.858813	+	4.87057i	0.0287713	+	0.163170i
$892$	−10.4939	−	3.81948i	−0.351362	−	0.127885i
$893$	−13.0872	+	10.9815i	−0.437947	+	0.367481i
$894$	0.742465			0.0248317
$895$	10.7456	−	9.01667i	0.359187	−	0.301394i
$896$	1.53699	−	2.66215i	0.0513474	−	0.0889362i
$897$	−22.4694	+	8.17818i	−0.750230	+	0.273061i
$898$	7.67357	+	13.2910i	0.256070	+	0.443527i
$899$	25.1112	−	43.4939i	0.837506	−	1.45060i
$900$	0.757252	−	4.29459i	0.0252417	−	0.143153i
$901$	86.7353	+	31.5691i	2.88957	+	1.05172i
$902$	7.52565	+	13.0348i	0.250577	+	0.434012i
$903$	−37.4677	−	31.4391i	−1.24685	−	1.04623i
$904$	15.8146	+	13.2700i	0.525986	+	0.441355i
$905$	−6.51080	+	2.36974i	−0.216426	+	0.0787727i
$906$	3.83772	+	21.7648i	0.127500	+	0.723088i
$907$	5.87684	+	33.3292i	0.195137	+	1.10668i	0.912223	+	0.409693i	$0.134364\pi$
$907$	5.87684	+	33.3292i	0.195137	+	1.10668i	−0.717086	+	0.696985i	$0.754525\pi$
$908$	17.6959	−	6.44079i	0.587260	−	0.213745i
$909$	2.03619	+	1.70857i	0.0675361	+	0.0566695i
$910$	6.61155	+	5.54775i	0.219171	+	0.183906i
$911$	5.67635	+	9.83173i	0.188066	+	0.325740i	0.944605	−	0.328208i	$-0.106445\pi$
$911$	5.67635	+	9.83173i	0.188066	+	0.325740i	−0.756539	+	0.653948i	$0.773111\pi$
$912$	−14.6002	−	5.31404i	−0.483461	−	0.175965i
$913$	2.51724	−	14.2760i	0.0833086	−	0.472467i
$914$	−10.8269	+	18.7528i	−0.358123	+	0.620286i
$915$	−10.2926	−	17.8273i	−0.340263	−	0.589353i
$916$	21.5788	−	7.85402i	0.712982	−	0.259504i
$917$	26.8401	−	46.4884i	0.886337	−	1.53518i
$918$	−19.8367	+	16.6450i	−0.654710	+	0.549367i
$919$	−21.8515			−0.720814			−0.360407	−	0.932795i	$-0.617362\pi$
$919$	−21.8515			−0.720814			−0.360407	+	0.932795i	$0.617362\pi$
$920$	2.40463	−	2.01772i	0.0792782	−	0.0665223i
$921$	−15.1151	−	5.50143i	−0.498058	−	0.181278i
$922$	6.75589	+	38.3145i	0.222493	+	1.26182i
$923$	0.743231	−	4.21507i	0.0244638	−	0.138741i
$924$	−13.4548			−0.442631
$925$	5.27276	−	3.03283i	0.173367	−	0.0997188i
$926$	9.09900			0.299012
$927$	2.64731	−	15.0137i	0.0869491	−	0.493113i
$928$	−1.45615	−	8.25822i	−0.0478004	−	0.271089i
$929$	−13.2762	−	4.83212i	−0.435576	−	0.158537i	0.114919	−	0.993375i	$-0.463339\pi$
$929$	−13.2762	−	4.83212i	−0.435576	−	0.158537i	−0.550496	+	0.834838i	$0.685561\pi$
$930$	12.4474	−	10.4446i	0.408168	−	0.342493i
$931$	−14.0271			−0.459721
$932$	17.1971	−	14.4301i	0.563310	−	0.472674i
$933$	−42.0821	+	72.8882i	−1.37770	+	2.38625i
$934$	−4.41103	+	1.60548i	−0.144333	+	0.0525330i
$935$	−5.65755	−	9.79916i	−0.185022	−	0.320467i
$936$	−6.12192	+	10.6035i	−0.200101	+	0.346585i
$937$	−4.48465	+	25.4337i	−0.146507	+	0.830883i	0.819638	+	0.572882i	$0.194175\pi$
$937$	−4.48465	+	25.4337i	−0.146507	+	0.830883i	−0.966145	+	0.258001i	$0.916936\pi$
$938$	20.1062	+	7.31807i	0.656492	+	0.238944i
$939$	−16.3727	−	28.3584i	−0.534304	−	0.925441i
$940$	−2.28527	−	1.91757i	−0.0745373	−	0.0625442i
$941$	5.69874	+	4.78181i	0.185774	+	0.155883i	0.730932	−	0.682451i	$-0.239086\pi$
$941$	5.69874	+	4.78181i	0.185774	+	0.155883i	−0.545158	+	0.838333i	$0.683530\pi$
$942$	−10.9378	+	3.98104i	−0.356373	+	0.129709i
$943$	−5.08541	−	28.8408i	−0.165604	−	0.939185i
$944$	−0.342401	−	1.94185i	−0.0111442	−	0.0632020i
$945$	10.6649	−	3.88172i	0.346930	−	0.126272i
$946$	7.24775	+	6.08159i	0.235645	+	0.197729i
$947$	−40.6229	−	34.0867i	−1.32007	−	1.10767i	−0.986291	−	0.165015i	$-0.947233\pi$
$947$	−40.6229	−	34.0867i	−1.32007	−	1.10767i	−0.333776	−	0.942653i	$-0.608323\pi$
$948$	3.38777	+	5.86779i	0.110030	+	0.190577i
$949$	10.9646	+	3.99078i	0.355925	+	0.129546i
$950$	−0.994442	+	5.63976i	−0.0322640	+	0.182978i
$951$	7.81277	−	13.5321i	0.253347	−	0.438809i
$952$	10.7800	+	18.6715i	0.349381	+	0.605146i
$953$	−2.71023	+	0.986443i	−0.0877929	+	0.0319540i	−0.385543	−	0.922690i	$-0.625986\pi$
$953$	−2.71023	+	0.986443i	−0.0877929	+	0.0319540i	0.297750	+	0.954644i	$0.403764\pi$
$954$	28.6948	−	49.7009i	0.929030	−	1.60913i
$955$	−6.01951	+	5.05097i	−0.194787	+	0.163445i
$956$	−6.64130			−0.214795
$957$	−28.1168	+	23.5928i	−0.908885	+	0.762645i
$958$	−9.48042	−	3.45059i	−0.306299	−	0.111484i
$959$	4.45713	+	25.2776i	0.143928	+	0.816257i
$960$	0.471123	−	2.67187i	0.0152054	−	0.0862342i
$961$	4.86946			0.157079
$962$	−16.8238	+	2.93834i	−0.542420	+	0.0947359i
$963$	−65.2616			−2.10302
$964$	3.53985	−	20.0755i	0.114011	−	0.646587i
$965$	−1.10600	−	6.27242i	−0.0356033	−	0.201916i
$966$	24.6006	+	8.95388i	0.791511	+	0.288086i
$967$	−24.6299	+	20.6670i	−0.792046	+	0.664605i	−0.946251	−	0.323434i	$-0.895163\pi$
$967$	−24.6299	+	20.6670i	−0.792046	+	0.664605i	0.154205	+	0.988039i	$0.450718\pi$
$968$	−8.39730			−0.269899
$969$	83.4782	−	70.0465i	2.68171	−	2.25022i
$970$	−6.09135	+	10.5505i	−0.195581	+	0.338757i
$971$	37.5464	−	13.6658i	1.20492	−	0.438556i	0.339982	−	0.940432i	$-0.389579\pi$
$971$	37.5464	−	13.6658i	1.20492	−	0.438556i	0.864939	+	0.501876i	$0.167357\pi$
$972$	−9.69673	−	16.7952i	−0.311023	−	0.538707i
$973$	−23.2402	+	40.2532i	−0.745047	+	1.29046i
$974$	4.15488	−	23.5635i	0.133131	−	0.755023i
$975$	7.15809	+	2.60533i	0.229242	+	0.0834373i
$976$	−3.79369	−	6.57086i	−0.121433	−	0.210328i
$977$	−41.0504	−	34.4454i	−1.31332	−	1.10201i	−0.987676	−	0.156513i	$-0.949975\pi$
$977$	−41.0504	−	34.4454i	−1.31332	−	1.10201i	−0.325643	−	0.945493i	$-0.605581\pi$
$978$	16.0161	+	13.4391i	0.512139	+	0.429735i
$979$	−2.93219	+	1.06723i	−0.0937130	+	0.0341088i
$980$	−0.425334	−	2.41219i	−0.0135868	−	0.0770545i
$981$	−2.74533	−	15.5695i	−0.0876516	−	0.497097i
$982$	−16.2266	+	5.90600i	−0.517811	+	0.188468i
$983$	23.9477	+	20.0945i	0.763812	+	0.640915i	0.939116	−	0.343600i	$-0.111646\pi$
$983$	23.9477	+	20.0945i	0.763812	+	0.640915i	−0.175304	+	0.984514i	$0.556091\pi$
$984$	−19.3901	−	16.2702i	−0.618133	−	0.518675i
$985$	11.4650	+	19.8579i	0.365304	+	0.632725i
$986$	55.2671	+	20.1156i	1.76006	+	0.640611i
$987$	4.32036	−	24.5020i	0.137519	−	0.779906i
$988$	8.03946	−	13.9248i	0.255769	−	0.443005i
$989$	−9.20451	−	15.9427i	−0.292686	−	0.506948i
$990$	−6.61102	+	2.40621i	−0.210112	+	0.0764745i
$991$	−16.0081	+	27.7269i	−0.508515	+	0.880774i	0.491436	+	0.870914i	$0.336472\pi$
$991$	−16.0081	+	27.7269i	−0.508515	+	0.880774i	−0.999951	+	0.00986059i	$0.996861\pi$
$992$	4.58793	−	3.84973i	0.145667	−	0.122229i
$993$	38.4132			1.21901
$994$	−3.58973	+	3.01215i	−0.113859	+	0.0955394i
$995$	−12.5470	−	4.56672i	−0.397766	−	0.144775i
$996$	4.23328	+	24.0081i	0.134136	+	0.760726i
$997$	8.63195	−	48.9542i	0.273377	−	1.55040i	−0.470695	−	0.882296i	$-0.655997\pi$
$997$	8.63195	−	48.9542i	0.273377	−	1.55040i	0.744072	−	0.668100i	$-0.232892\pi$
$998$	−19.5976			−0.620352
$999$	−7.71533	+	21.0911i	−0.244102	+	0.667294i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.d.181.1	✓	24
37.9	even	9	inner	370.2.o.d.231.1	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.d.181.1	✓	24	1.1	even	1	trivial
370.2.o.d.231.1	yes	24	37.9	even	9	inner

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173648 - 0.984808i) q^{2} +(-0.471123 - 2.67187i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} -2.71309 q^{6} +(-2.35481 + 1.97592i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.09785 + 1.49149i) q^{9} +O(q^{10})\)	\(q+(0.173648 - 0.984808i) q^{2} +(-0.471123 - 2.67187i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(-0.766044 + 0.642788i) q^{5} -2.71309 q^{6} +(-2.35481 + 1.97592i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-4.09785 + 1.49149i) q^{9} +(0.500000 + 0.866025i) q^{10} +(0.806645 - 1.39715i) q^{11} +(-0.471123 + 2.67187i) q^{12} +(-2.63836 - 0.960283i) q^{13} +(1.53699 + 2.66215i) q^{14} +(2.07834 + 1.74394i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-6.59070 + 2.39882i) q^{17} +(0.757252 + 4.29459i) q^{18} +(-0.994442 - 5.63976i) q^{19} +(0.939693 - 0.342020i) q^{20} +(6.38881 + 5.36085i) q^{21} +(-1.23585 - 1.03700i) q^{22} +(1.56951 + 2.71847i) q^{23} +(2.54947 + 0.927930i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-1.40384 + 2.43152i) q^{26} +(1.84604 + 3.19743i) q^{27} +(2.88860 - 1.05137i) q^{28} +(4.19281 - 7.26216i) q^{29} +(2.07834 - 1.74394i) q^{30} +5.98911 q^{31} +(0.766044 - 0.642788i) q^{32} +(-4.11303 - 1.49702i) q^{33} +(1.21791 + 6.90713i) q^{34} +(0.533792 - 3.02729i) q^{35} +4.36084 q^{36} +(3.90236 + 4.66601i) q^{37} -5.72676 q^{38} +(-1.32276 + 7.50175i) q^{39} +(-0.173648 - 0.984808i) q^{40} +(-8.76693 - 3.19090i) q^{41} +(6.38881 - 5.36085i) q^{42} -5.86458 q^{43} +(-1.23585 + 1.03700i) q^{44} +(2.18042 - 3.77660i) q^{45} +(2.94971 - 1.07361i) q^{46} +(-1.49160 - 2.58354i) q^{47} +(1.35654 - 2.34960i) q^{48} +(0.425334 - 2.41219i) q^{49} +(-0.939693 - 0.342020i) q^{50} +(9.51436 + 16.4794i) q^{51} +(2.15081 + 1.80474i) q^{52} +(-10.0813 - 8.45924i) q^{53} +(3.46941 - 1.26276i) q^{54} +(0.280145 + 1.58878i) q^{55} +(-0.533792 - 3.02729i) q^{56} +(-14.6002 + 5.31404i) q^{57} +(-6.42376 - 5.39017i) q^{58} +(-1.51049 - 1.26746i) q^{59} +(-1.35654 - 2.34960i) q^{60} +(-7.12980 - 2.59504i) q^{61} +(1.04000 - 5.89812i) q^{62} +(6.70258 - 11.6092i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(2.63836 - 0.960283i) q^{65} +(-2.18850 + 3.79059i) q^{66} +(5.33208 - 4.47415i) q^{67} +7.01368 q^{68} +(6.52396 - 5.47425i) q^{69} +(-2.88860 - 1.05137i) q^{70} +(0.264714 + 1.50127i) q^{71} +(0.757252 - 4.29459i) q^{72} -4.15584 q^{73} +(5.27276 - 3.03283i) q^{74} -2.71309 q^{75} +(-0.994442 + 5.63976i) q^{76} +(0.861162 + 4.88389i) q^{77} +(7.15809 + 2.60533i) q^{78} +(1.91309 - 1.60527i) q^{79} -1.00000 q^{80} +(-2.34839 + 1.97053i) q^{81} +(-4.66479 + 8.07965i) q^{82} +(8.44362 - 3.07323i) q^{83} +(-4.17000 - 7.22265i) q^{84} +(3.50684 - 6.07403i) q^{85} +(-1.01837 + 5.77548i) q^{86} +(-21.3789 - 7.78127i) q^{87} +(0.806645 + 1.39715i) q^{88} +(-1.48166 - 1.24326i) q^{89} +(-3.34060 - 2.80309i) q^{90} +(8.11027 - 2.95190i) q^{91} +(-0.545085 - 3.09133i) q^{92} +(-2.82161 - 16.0021i) q^{93} +(-2.80330 + 1.02032i) q^{94} +(4.38696 + 3.68109i) q^{95} +(-2.07834 - 1.74394i) q^{96} +(6.09135 + 10.5505i) q^{97} +(-2.30168 - 0.837744i) q^{98} +(-1.22167 + 6.92841i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9	\( 24 q + 6 q^{6} - 9 q^{7} - 12 q^{8} + 12 q^{9} + 12 q^{10} - 3 q^{11} - 3 q^{14} + 6 q^{17} - 6 q^{18} - 18 q^{19} + 18 q^{21} + 3 q^{22} + 15 q^{23} - 6 q^{26} - 12 q^{27} + 9 q^{28} - 18 q^{29} - 6 q^{31} - 45 q^{33} - 3 q^{34} + 30 q^{36} - 18 q^{37} - 24 q^{38} + 12 q^{39} + 3 q^{41} + 18 q^{42} + 3 q^{44} + 15 q^{45} + 9 q^{46} - 36 q^{47} - 3 q^{48} - 15 q^{49} + 54 q^{51} - 9 q^{52} - 6 q^{53} + 45 q^{54} - 3 q^{55} + 3 q^{57} - 15 q^{58} - 9 q^{59} + 3 q^{60} - 24 q^{61} + 81 q^{62} - 45 q^{63} - 12 q^{64} - 3 q^{66} + 12 q^{67} + 12 q^{68} + 60 q^{69} - 9 q^{70} + 42 q^{71} - 6 q^{72} - 42 q^{73} + 12 q^{74} + 6 q^{75} - 18 q^{76} + 9 q^{77} + 30 q^{78} - 6 q^{79} - 24 q^{80} - 66 q^{81} - 24 q^{82} - 3 q^{83} - 42 q^{84} + 6 q^{85} - 18 q^{86} - 84 q^{87} - 3 q^{88} + 27 q^{89} + 6 q^{90} + 153 q^{91} - 9 q^{92} - 54 q^{93} - 21 q^{94} - 9 q^{95} - 9 q^{97} - 24 q^{98} + 165 q^{99}+O(q^{100}) \) 24 * q + 6 * q^6 - 9 * q^7 - 12 * q^8 + 12 * q^9 + 12 * q^10 - 3 * q^11 - 3 * q^14 + 6 * q^17 - 6 * q^18 - 18 * q^19 + 18 * q^21 + 3 * q^22 + 15 * q^23 - 6 * q^26 - 12 * q^27 + 9 * q^28 - 18 * q^29 - 6 * q^31 - 45 * q^33 - 3 * q^34 + 30 * q^36 - 18 * q^37 - 24 * q^38 + 12 * q^39 + 3 * q^41 + 18 * q^42 + 3 * q^44 + 15 * q^45 + 9 * q^46 - 36 * q^47 - 3 * q^48 - 15 * q^49 + 54 * q^51 - 9 * q^52 - 6 * q^53 + 45 * q^54 - 3 * q^55 + 3 * q^57 - 15 * q^58 - 9 * q^59 + 3 * q^60 - 24 * q^61 + 81 * q^62 - 45 * q^63 - 12 * q^64 - 3 * q^66 + 12 * q^67 + 12 * q^68 + 60 * q^69 - 9 * q^70 + 42 * q^71 - 6 * q^72 - 42 * q^73 + 12 * q^74 + 6 * q^75 - 18 * q^76 + 9 * q^77 + 30 * q^78 - 6 * q^79 - 24 * q^80 - 66 * q^81 - 24 * q^82 - 3 * q^83 - 42 * q^84 + 6 * q^85 - 18 * q^86 - 84 * q^87 - 3 * q^88 + 27 * q^89 + 6 * q^90 + 153 * q^91 - 9 * q^92 - 54 * q^93 - 21 * q^94 - 9 * q^95 - 9 * q^97 - 24 * q^98 + 165 * q^99

Introduction

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