LMFDB - Embedded newform 504.2.w.a.445.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.w (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			445.13
Character	$\chi$	$=$	504.445
Dual form			504.2.w.a.205.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28717 + 0.585837i) q^{2} +(-1.65782 - 0.501625i) q^{3} +(1.31359 - 1.50814i) q^{4} -4.18515i q^{5} +(2.42776 - 0.325538i) q^{6} +(1.88927 + 1.85221i) q^{7} +(-0.807285 + 2.71077i) q^{8} +(2.49674 + 1.66321i) q^{9} +O(q^{10})$	\(q+(-1.28717 + 0.585837i) q^{2} +(-1.65782 - 0.501625i) q^{3} +(1.31359 - 1.50814i) q^{4} -4.18515i q^{5} +(2.42776 - 0.325538i) q^{6} +(1.88927 + 1.85221i) q^{7} +(-0.807285 + 2.71077i) q^{8} +(2.49674 + 1.66321i) q^{9} +(2.45182 + 5.38698i) q^{10} +1.71793i q^{11} +(-2.93422 + 1.84129i) q^{12} +(3.88784 + 2.24464i) q^{13} +(-3.51689 - 1.27729i) q^{14} +(-2.09938 + 6.93823i) q^{15} +(-0.548962 - 3.96215i) q^{16} +(3.47739 - 6.02302i) q^{17} +(-4.18809 - 0.678142i) q^{18} +(-0.135957 + 0.0784950i) q^{19} +(-6.31179 - 5.49757i) q^{20} +(-2.20296 - 4.01833i) q^{21} +(-1.00643 - 2.21126i) q^{22} +5.22930 q^{23} +(2.69813 - 4.08902i) q^{24} -12.5155 q^{25} +(-6.31928 - 0.611589i) q^{26} +(-3.30485 - 4.00974i) q^{27} +(5.27511 - 0.416240i) q^{28} +(-1.17927 + 0.680852i) q^{29} +(-1.36243 - 10.1605i) q^{30} +(-1.57091 - 2.72089i) q^{31} +(3.02778 + 4.77834i) q^{32} +(0.861757 - 2.84802i) q^{33} +(-0.947471 + 9.78981i) q^{34} +(7.75176 - 7.90687i) q^{35} +(5.78805 - 1.58066i) q^{36} +(2.27910 - 1.31584i) q^{37} +(0.129014 - 0.180685i) q^{38} +(-5.31937 - 5.67145i) q^{39} +(11.3450 + 3.37861i) q^{40} +(1.52330 - 2.63843i) q^{41} +(5.18966 + 3.88168i) q^{42} +(6.37569 - 3.68100i) q^{43} +(2.59087 + 2.25665i) q^{44} +(6.96078 - 10.4493i) q^{45} +(-6.73098 + 3.06352i) q^{46} +(-1.42046 + 2.46031i) q^{47} +(-1.07743 + 6.84391i) q^{48} +(0.138671 + 6.99863i) q^{49} +(16.1095 - 7.33203i) q^{50} +(-8.78619 + 8.24074i) q^{51} +(8.49225 - 2.91485i) q^{52} +(-10.2516 - 5.91876i) q^{53} +(6.60294 + 3.22509i) q^{54} +7.18979 q^{55} +(-6.54609 + 3.62612i) q^{56} +(0.264768 - 0.0619311i) q^{57} +(1.11905 - 1.56723i) q^{58} +(-2.53622 + 1.46429i) q^{59} +(7.70609 + 12.2801i) q^{60} +(1.16856 + 0.674668i) q^{61} +(3.61602 + 2.58194i) q^{62} +(1.63641 + 7.76673i) q^{63} +(-6.69658 - 4.37673i) q^{64} +(9.39417 - 16.2712i) q^{65} +(0.559252 + 4.17072i) q^{66} +(0.943997 - 0.545017i) q^{67} +(-4.51568 - 13.1562i) q^{68} +(-8.66925 - 2.62315i) q^{69} +(-5.34566 + 14.7187i) q^{70} -7.87737 q^{71} +(-6.52417 + 5.42542i) q^{72} +(5.83848 - 10.1125i) q^{73} +(-2.16271 + 3.02888i) q^{74} +(20.7484 + 6.27808i) q^{75} +(-0.0602109 + 0.308153i) q^{76} +(-3.18196 + 3.24563i) q^{77} +(10.1695 + 4.18382i) q^{78} +(0.142624 - 0.247032i) q^{79} +(-16.5822 + 2.29749i) q^{80} +(3.46746 + 8.30522i) q^{81} +(-0.415047 + 4.28849i) q^{82} +(9.85987 - 5.69260i) q^{83} +(-8.95398 - 1.95607i) q^{84} +(-25.2072 - 14.5534i) q^{85} +(-6.05010 + 8.47317i) q^{86} +(2.29655 - 0.537180i) q^{87} +(-4.65692 - 1.38686i) q^{88} +(-3.25754 - 5.64222i) q^{89} +(-2.83812 + 17.5278i) q^{90} +(3.18763 + 11.4418i) q^{91} +(6.86916 - 7.88651i) q^{92} +(1.23942 + 5.29876i) q^{93} +(0.387028 - 3.99899i) q^{94} +(0.328513 + 0.569002i) q^{95} +(-2.62258 - 9.44045i) q^{96} +(-1.55195 - 2.68806i) q^{97} +(-4.27855 - 8.92715i) q^{98} +(-2.85728 + 4.28923i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$1$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.28717	+	0.585837i	−0.910163	+	0.414249i
$2$	−1.28717	+	0.585837i	−0.910163	+	0.414249i
$3$	−1.65782	−	0.501625i	−0.957144	−	0.289613i
$3$	−1.65782	−	0.501625i	−0.957144	−	0.289613i
$4$	1.31359	−	1.50814i	0.656795	−	0.754069i
$5$		−	4.18515i		−	1.87166i	−0.352457	−	0.935828i	$-0.614654\pi$
$5$		−	4.18515i		−	1.87166i	0.352457	−	0.935828i	$-0.385346\pi$
$6$	2.42776	−	0.325538i	0.991129	−	0.132901i
$7$	1.88927	+	1.85221i	0.714076	+	0.700068i
$7$	1.88927	+	1.85221i	0.714076	+	0.700068i
$8$	−0.807285	+	2.71077i	−0.285418	+	0.958403i
$9$	2.49674	+	1.66321i	0.832248	+	0.554403i
$10$	2.45182	+	5.38698i	0.775332	+	1.70351i
$11$			1.71793i			0.517975i	0.965881	+	0.258988i	$0.0833889\pi$
$11$			1.71793i			0.517975i	−0.965881	+	0.258988i	$0.916611\pi$
$12$	−2.93422	+	1.84129i	−0.847036	+	0.531536i
$13$	3.88784	+	2.24464i	1.07829	+	0.622552i	0.930435	−	0.366457i	$-0.119429\pi$
$13$	3.88784	+	2.24464i	1.07829	+	0.622552i	0.147857	+	0.989009i	$0.452763\pi$
$14$	−3.51689	−	1.27729i	−0.939929	−	0.341370i
$15$	−2.09938	+	6.93823i	−0.542057	+	1.79144i
$16$	−0.548962	−	3.96215i	−0.137241	−	0.990538i
$17$	3.47739	−	6.02302i	0.843391	−	1.46080i	−0.0436195	−	0.999048i	$-0.513889\pi$
$17$	3.47739	−	6.02302i	0.843391	−	1.46080i	0.887011	−	0.461748i	$-0.152778\pi$
$18$	−4.18809	−	0.678142i	−0.987143	−	0.159839i
$19$	−0.135957	+	0.0784950i	−0.0311908	+	0.0180080i	−0.515514	−	0.856881i	$-0.672399\pi$
$19$	−0.135957	+	0.0784950i	−0.0311908	+	0.0180080i	0.484324	+	0.874889i	$0.339066\pi$
$20$	−6.31179	−	5.49757i	−1.41136	−	1.22929i
$21$	−2.20296	−	4.01833i	−0.480725	−	0.876872i
$22$	−1.00643	−	2.21126i	−0.214571	−	0.471442i
$23$	5.22930			1.09038			0.545192	−	0.838311i	$-0.316457\pi$
$23$	5.22930			1.09038			0.545192	+	0.838311i	$0.316457\pi$
$24$	2.69813	−	4.08902i	0.550753	−	0.834668i
$25$	−12.5155			−2.50310
$26$	−6.31928	−	0.611589i	−1.23931	−	0.119943i
$27$	−3.30485	−	4.00974i	−0.636018	−	0.771674i
$28$	5.27511	−	0.416240i	0.996901	−	0.0786619i
$29$	−1.17927	+	0.680852i	−0.218985	+	0.126431i	−0.605480	−	0.795860i	$-0.707019\pi$
$29$	−1.17927	+	0.680852i	−0.218985	+	0.126431i	0.386495	+	0.922291i	$0.373686\pi$
$30$	−1.36243	−	10.1605i	−0.248744	−	1.85505i
$31$	−1.57091	−	2.72089i	−0.282143	−	0.488686i	0.689769	−	0.724029i	$-0.257712\pi$
$31$	−1.57091	−	2.72089i	−0.282143	−	0.488686i	−0.971912	+	0.235343i	$0.924379\pi$
$32$	3.02778	+	4.77834i	0.535241	+	0.844699i
$33$	0.861757	−	2.84802i	0.150013	−	0.495777i
$34$	−0.947471	+	9.78981i	−0.162490	+	1.67894i
$35$	7.75176	−	7.90687i	1.31029	−	1.33651i
$36$	5.78805	−	1.58066i	0.964675	−	0.263443i
$37$	2.27910	−	1.31584i	0.374682	−	0.216323i	−0.300820	−	0.953681i	$-0.597260\pi$
$37$	2.27910	−	1.31584i	0.374682	−	0.216323i	0.675502	+	0.737358i	$0.263927\pi$
$38$	0.129014	−	0.180685i	0.0209289	−	0.0293110i
$39$	−5.31937	−	5.67145i	−0.851781	−	0.908159i
$40$	11.3450	+	3.37861i	1.79380	+	0.534205i
$41$	1.52330	−	2.63843i	0.237899	−	0.412053i	−0.722212	−	0.691671i	$-0.756875\pi$
$41$	1.52330	−	2.63843i	0.237899	−	0.412053i	0.960111	+	0.279619i	$0.0902080\pi$
$42$	5.18966	+	3.88168i	0.800781	+	0.598957i
$43$	6.37569	−	3.68100i	0.972283	−	0.561348i	0.0723515	−	0.997379i	$-0.476950\pi$
$43$	6.37569	−	3.68100i	0.972283	−	0.561348i	0.899931	+	0.436031i	$0.143616\pi$
$44$	2.59087	+	2.25665i	0.390589	+	0.340203i
$45$	6.96078	−	10.4493i	1.03765	−	1.55768i
$46$	−6.73098	+	3.06352i	−0.992428	+	0.451691i
$47$	−1.42046	+	2.46031i	−0.207196	+	0.358874i	−0.950830	−	0.309713i	$-0.899767\pi$
$47$	−1.42046	+	2.46031i	−0.207196	+	0.358874i	0.743634	+	0.668587i	$0.233100\pi$
$48$	−1.07743	+	6.84391i	−0.155514	+	0.987834i
$49$	0.138671	+	6.99863i	0.0198102	+	0.999804i
$50$	16.1095	−	7.33203i	2.27823	−	1.03691i
$51$	−8.78619	+	8.24074i	−1.23031	+	1.15393i
$52$	8.49225	−	2.91485i	1.17766	−	0.404217i
$53$	−10.2516	−	5.91876i	−1.40816	−	0.813004i	−0.412952	−	0.910753i	$-0.635502\pi$
$53$	−10.2516	−	5.91876i	−1.40816	−	0.813004i	−0.995211	+	0.0977489i	$0.968836\pi$
$54$	6.60294	+	3.22509i	0.898546	+	0.438879i
$55$	7.18979			0.969471
$56$	−6.54609	+	3.62612i	−0.874758	+	0.484561i
$57$	0.264768	−	0.0619311i	0.0350694	−	0.00820297i
$58$	1.11905	−	1.56723i	0.146938	−	0.205787i
$59$	−2.53622	+	1.46429i	−0.330188	+	0.190634i	−0.655924	−	0.754827i	$-0.727721\pi$
$59$	−2.53622	+	1.46429i	−0.330188	+	0.190634i	0.325737	+	0.945460i	$0.394388\pi$
$60$	7.70609	+	12.2801i	0.994852	+	1.58536i
$61$	1.16856	+	0.674668i	0.149619	+	0.0863823i	0.572940	−	0.819597i	$-0.305803\pi$
$61$	1.16856	+	0.674668i	0.149619	+	0.0863823i	−0.423322	+	0.905979i	$0.639136\pi$
$62$	3.61602	+	2.58194i	0.459234	+	0.327907i
$63$	1.63641	+	7.76673i	0.206169	+	0.978516i
$64$	−6.69658	−	4.37673i	−0.837073	−	0.547091i
$65$	9.39417	−	16.2712i	1.16520	−	2.01819i
$66$	0.559252	+	4.17072i	0.0688392	+	0.513380i
$67$	0.943997	−	0.545017i	0.115328	−	0.0665844i	−0.441227	−	0.897396i	$-0.645456\pi$
$67$	0.943997	−	0.545017i	0.115328	−	0.0665844i	0.556554	+	0.830811i	$0.312123\pi$
$68$	−4.51568	−	13.1562i	−0.547606	−	1.59542i
$69$	−8.66925	−	2.62315i	−1.04365	−	0.315790i
$70$	−5.34566	+	14.7187i	−0.638928	+	1.75922i
$71$	−7.87737			−0.934872			−0.467436	−	0.884027i	$-0.654822\pi$
$71$	−7.87737			−0.934872			−0.467436	+	0.884027i	$0.654822\pi$
$72$	−6.52417	+	5.42542i	−0.768881	+	0.639392i
$73$	5.83848	−	10.1125i	0.683342	−	1.18358i	−0.290612	−	0.956841i	$-0.593859\pi$
$73$	5.83848	−	10.1125i	0.683342	−	1.18358i	0.973955	−	0.226743i	$-0.0728076\pi$
$74$	−2.16271	+	3.02888i	−0.251410	+	0.352101i
$75$	20.7484	+	6.27808i	2.39582	+	0.724930i
$76$	−0.0602109	+	0.308153i	−0.00690666	+	0.0353475i
$77$	−3.18196	+	3.24563i	−0.362618	+	0.369874i
$78$	10.1695	+	4.18382i	1.15146	+	0.473724i
$79$	0.142624	−	0.247032i	0.0160464	−	0.0277932i	−0.857891	−	0.513832i	$-0.828225\pi$
$79$	0.142624	−	0.247032i	0.0160464	−	0.0277932i	0.873937	+	0.486039i	$0.161559\pi$
$80$	−16.5822	+	2.29749i	−1.85395	+	0.256867i
$81$	3.46746	+	8.30522i	0.385274	+	0.922802i
$82$	−0.415047	+	4.28849i	−0.0458342	+	0.473585i
$83$	9.85987	−	5.69260i	1.08226	−	0.624844i	0.150756	−	0.988571i	$-0.451829\pi$
$83$	9.85987	−	5.69260i	1.08226	−	0.624844i	0.931505	+	0.363727i	$0.118496\pi$
$84$	−8.95398	−	1.95607i	−0.976959	−	0.213425i
$85$	−25.2072	−	14.5534i	−2.73411	−	1.57854i
$86$	−6.05010	+	8.47317i	−0.652399	+	0.913686i
$87$	2.29655	−	0.537180i	0.246216	−	0.0575917i
$88$	−4.65692	−	1.38686i	−0.496429	−	0.147840i
$89$	−3.25754	−	5.64222i	−0.345298	−	0.598074i	0.640110	−	0.768284i	$-0.278889\pi$
$89$	−3.25754	−	5.64222i	−0.345298	−	0.598074i	−0.985408	+	0.170209i	$0.945556\pi$
$90$	−2.83812	+	17.5278i	−0.299165	+	1.84759i
$91$	3.18763	+	11.4418i	0.334154	+	1.19943i
$92$	6.86916	−	7.88651i	0.716159	−	0.822225i
$93$	1.23942	+	5.29876i	0.128521	+	0.549456i
$94$	0.387028	−	3.99899i	0.0399189	−	0.412464i
$95$	0.328513	+	0.569002i	0.0337048	+	0.0583784i
$96$	−2.62258	−	9.44045i	−0.267666	−	0.963512i
$97$	−1.55195	−	2.68806i	−0.157577	−	0.272931i	0.776418	−	0.630219i	$-0.217035\pi$
$97$	−1.55195	−	2.68806i	−0.157577	−	0.272931i	−0.933994	+	0.357288i	$0.883701\pi$
$98$	−4.27855	−	8.92715i	−0.432199	−	0.901778i
$99$	−2.85728	+	4.28923i	−0.287167	+	0.431084i
$100$	−16.4402	+	18.8751i	−1.64402	+	1.88751i
$101$			9.32061i			0.927435i	0.885983	+	0.463717i	$0.153485\pi$
$101$			9.32061i			0.927435i	−0.885983	+	0.463717i	$0.846515\pi$
$102$	6.48155	−	15.7545i	0.641769	−	1.55993i
$103$	−2.49743			−0.246079			−0.123040	−	0.992402i	$-0.539264\pi$
$103$	−2.49743			−0.246079			−0.123040	+	0.992402i	$0.539264\pi$
$104$	−9.22331	+	8.72698i	−0.904420	+	0.855750i
$105$	−16.8173	+	9.21971i	−1.64120	+	0.899751i
$106$	16.6629	+	1.61266i	1.61845	+	0.156635i
$107$	−9.69755	+	5.59888i	−0.937498	+	0.541265i	−0.889175	−	0.457567i	$-0.848721\pi$
$107$	−9.69755	+	5.59888i	−0.937498	+	0.541265i	−0.0483227	+	0.998832i	$0.515388\pi$
$108$	−10.3885	−	0.282980i	−0.999629	−	0.0272298i
$109$	−2.10132	−	1.21319i	−0.201269	−	0.116203i	0.395978	−	0.918260i	$-0.370406\pi$
$109$	−2.10132	−	1.21319i	−0.201269	−	0.116203i	−0.597247	+	0.802057i	$0.703739\pi$
$110$	−9.25445	+	4.21205i	−0.882377	+	0.401603i
$111$	−4.43840	+	1.03817i	−0.421274	+	0.0985389i
$112$	6.30158	−	8.50236i	0.595443	−	0.803397i
$113$	−1.26123	+	2.18452i	−0.118647	+	0.205502i	−0.919232	−	0.393717i	$-0.871189\pi$
$113$	−1.26123	+	2.18452i	−0.118647	+	0.205502i	0.800585	+	0.599219i	$0.204522\pi$
$114$	−0.304519	+	0.234826i	−0.0285208	+	0.0219935i
$115$		−	21.8854i		−	2.04083i
$116$	−0.522259	+	2.67286i	−0.0484905	+	0.248169i
$117$	5.97362	+	12.0706i	0.552261	+	1.11593i
$118$	2.40670	−	3.37059i	0.221555	−	0.310288i
$119$	17.7256	−	4.93826i	1.62490	−	0.452689i
$120$	−17.1132	−	11.2921i	−1.56221	−	1.03082i
$121$	8.04872			0.731702
$122$	−1.89937	−	0.183824i	−0.171961	−	0.0166427i
$123$	−3.84885	+	3.60992i	−0.347039	+	0.325495i
$124$	−6.16701	−	1.20499i	−0.553814	−	0.108211i
$125$			31.4534i			2.81328i
$126$	−6.65638	−	9.03840i	−0.592997	−	0.805205i
$127$	11.0430			0.979904			0.489952	−	0.871749i	$-0.337014\pi$
$127$	11.0430			0.979904			0.489952	+	0.871749i	$0.337014\pi$
$128$	11.1837	+	1.71047i	0.988505	+	0.151186i
$129$	−12.4162	+	2.90424i	−1.09319	+	0.255704i
$130$	−2.55959	+	26.4472i	−0.224491	+	2.31957i
$131$			4.40951i			0.385260i	0.981271	+	0.192630i	$0.0617018\pi$
$131$			4.40951i			0.385260i	−0.981271	+	0.192630i	$0.938298\pi$
$132$	−3.16321	−	5.04078i	−0.275322	−	0.438743i
$133$	−0.402249	−	0.103523i	−0.0348794	−	0.00897656i
$134$	−0.895790	+	1.25456i	−0.0773844	+	0.108377i
$135$	−16.7813	+	13.8313i	−1.44431	+	1.19041i
$136$	13.5198	+	14.2887i	1.15931	+	1.22525i
$137$	15.9747			1.36481			0.682407	−	0.730972i	$-0.260933\pi$
$137$	15.9747			1.36481			0.682407	+	0.730972i	$0.260933\pi$
$138$	12.6955	−	1.70234i	1.08071	−	0.144913i
$139$	−1.75970	−	1.01596i	−0.149256	−	0.0861729i	0.423512	−	0.905890i	$-0.360797\pi$
$139$	−1.75970	−	1.01596i	−0.149256	−	0.0861729i	−0.572768	+	0.819718i	$0.694130\pi$
$140$	−1.74203	−	22.0771i	−0.147228	−	1.86586i
$141$	3.58903	−	3.36622i	0.302251	−	0.283487i
$142$	10.1395	−	4.61485i	0.850886	−	0.387270i
$143$	−3.85614	+	6.67903i	−0.322466	+	0.558528i
$144$	5.21927	−	10.8055i	0.434939	−	0.900460i
$145$	2.84947	+	4.93543i	0.236636	+	0.409865i
$146$	−1.59079	+	16.4369i	−0.131655	+	1.36033i
$147$	3.28080	−	11.6720i	0.270595	−	0.962693i
$148$	1.00934	−	5.16567i	0.0829669	−	0.424616i
$149$		−	11.4031i		−	0.934178i	−0.884210	−	0.467089i	$-0.845303\pi$
$149$		−	11.4031i		−	0.934178i	0.884210	−	0.467089i	$-0.154697\pi$
$150$	−30.3846	+	4.07427i	−2.48089	+	0.332663i
$151$	−11.8621			−0.965327			−0.482663	−	0.875806i	$-0.660331\pi$
$151$	−11.8621			−0.965327			−0.482663	+	0.875806i	$0.660331\pi$
$152$	−0.103026	−	0.431917i	−0.00835650	−	0.0350331i
$153$	18.6997	−	9.25431i	1.51178	−	0.748166i
$154$	2.19430	−	6.04177i	0.176821	−	0.486860i
$155$	−11.3873	+	6.57448i	−0.914653	+	0.528075i
$156$	−15.5408	+	0.572377i	−1.24426	+	0.0458269i
$157$	0.532634	−	0.307516i	0.0425088	−	0.0245425i	−0.478595	−	0.878036i	$-0.658854\pi$
$157$	0.532634	−	0.307516i	0.0425088	−	0.0245425i	0.521104	+	0.853493i	$0.325520\pi$
$158$	−0.0388601	+	0.401525i	−0.00309155	+	0.0319436i
$159$	14.0263	+	14.9547i	1.11236	+	1.18598i
$160$	19.9981	−	12.6717i	1.58099	−	1.00179i
$161$	9.87955	+	9.68574i	0.778618	+	0.763343i
$162$	−9.32871	−	8.65882i	−0.732932	−	0.680302i
$163$	11.5519	−	6.66947i	0.904812	−	0.522393i	0.0260536	−	0.999661i	$-0.491706\pi$
$163$	11.5519	−	6.66947i	0.904812	−	0.522393i	0.878758	+	0.477267i	$0.158373\pi$
$164$	−1.97812	−	5.76315i	−0.154466	−	0.450026i
$165$	−11.9194	−	3.60658i	−0.927923	−	0.280772i
$166$	−9.35635	+	13.1036i	−0.726193	+	1.01704i
$167$	−7.90126	+	13.6854i	−0.611418	+	1.05901i	0.379584	+	0.925157i	$0.376067\pi$
$167$	−7.90126	+	13.6854i	−0.611418	+	1.05901i	−0.991002	+	0.133849i	$0.957266\pi$
$168$	12.6712	−	2.72778i	0.977604	−	0.210453i
$169$	3.57685	+	6.19528i	0.275142	+	0.476560i
$170$	40.9718	+	3.96531i	3.14239	+	0.304125i
$171$	−0.470004	−	0.0301437i	−0.0359421	−	0.00230514i
$172$	2.82357	−	14.4507i	0.215296	−	1.10186i
$173$	8.74426	+	5.04850i	0.664814	+	0.383831i	0.794109	−	0.607776i	$-0.207938\pi$
$173$	8.74426	+	5.04850i	0.664814	+	0.383831i	−0.129295	+	0.991606i	$0.541271\pi$
$174$	−2.64134	+	2.03684i	−0.200240	+	0.154413i
$175$	−23.6451	−	23.1812i	−1.78740	−	1.75234i
$176$	6.80669	−	0.943078i	0.513074	−	0.0710872i
$177$	4.93912	−	1.15529i	0.371247	−	0.0868373i
$178$	7.49841	+	5.35409i	0.562030	+	0.401306i
$179$	−5.38685	−	3.11010i	−0.402632	−	0.232460i	0.284987	−	0.958531i	$-0.408011\pi$
$179$	−5.38685	−	3.11010i	−0.402632	−	0.232460i	−0.687619	+	0.726072i	$0.741344\pi$
$180$	−6.61530	−	24.2239i	−0.493075	−	1.80554i
$181$			14.7794i			1.09854i	0.835644	+	0.549272i	$0.185095\pi$
$181$			14.7794i			1.09854i	−0.835644	+	0.549272i	$0.814905\pi$
$182$	−10.8060	−	12.8601i	−0.800997	−	0.953252i
$183$	−1.59883	−	1.70466i	−0.118189	−	0.126012i
$184$	−4.22153	+	14.1754i	−0.311216	+	1.04503i
$185$	−5.50698	−	9.53838i	−0.404881	−	0.701275i
$186$	−4.69954	−	6.09428i	−0.344587	−	0.446855i
$187$	10.3471	+	5.97391i	0.756656	+	0.436856i
$188$	1.84459	+	5.37410i	0.134530	+	0.391946i
$189$	1.18311	−	13.6967i	0.0860584	−	0.996290i
$190$	−0.756194	−	0.539944i	−0.0548600	−	0.0391717i
$191$	−8.00960	+	13.8730i	−0.579555	+	1.00382i	0.415976	+	0.909376i	$0.363440\pi$
$191$	−8.00960	+	13.8730i	−0.579555	+	1.00382i	−0.995530	+	0.0944424i	$0.969893\pi$
$192$	8.90626	+	10.6150i	0.642754	+	0.766073i
$193$	−4.19577	−	7.26728i	−0.302018	−	0.523111i	0.674575	−	0.738206i	$-0.264327\pi$
$193$	−4.19577	−	7.26728i	−0.302018	−	0.523111i	−0.976593	+	0.215096i	$0.930994\pi$
$194$	3.57238	+	2.55078i	0.256482	+	0.183136i
$195$	−23.7359	+	22.2624i	−1.69976	+	1.59424i
$196$	10.7371	+	8.98419i	0.766932	+	0.641728i
$197$			22.7430i			1.62037i	0.586172	+	0.810186i	$0.300634\pi$
$197$			22.7430i			1.62037i	−0.586172	+	0.810186i	$0.699366\pi$
$198$	1.16500	−	7.19485i	0.0827929	−	0.511316i
$199$	−7.39564	+	12.8096i	−0.524263	+	0.908050i	0.475338	+	0.879803i	$0.342326\pi$
$199$	−7.39564	+	12.8096i	−0.524263	+	0.908050i	−0.999601	+	0.0282465i	$0.991008\pi$
$200$	10.1036	−	33.9266i	0.714429	−	2.39898i
$201$	−1.83837	+	0.430008i	−0.129669	+	0.0303304i
$202$	−5.46036	−	11.9972i	−0.384189	−	0.844117i
$203$	−3.48904	−	0.897939i	−0.244882	−	0.0630229i
$204$	0.886725	+	24.0758i	0.0620831	+	1.68564i
$205$	−11.0422	−	6.37522i	−0.771221	−	0.445265i
$206$	3.21461	−	1.46309i	0.223972	−	0.101938i
$207$	13.0562	+	8.69743i	0.907471	+	0.604513i
$208$	6.75934	−	16.6364i	0.468676	−	1.15353i
$209$	−0.134849	−	0.233565i	−0.00932769	−	0.0161560i
$210$	16.2454	−	21.7195i	1.12104	−	1.49879i
$211$	9.34131	+	5.39321i	0.643082	+	0.371284i	0.785801	−	0.618480i	$-0.212251\pi$
$211$	9.34131	+	5.39321i	0.643082	+	0.371284i	−0.142719	+	0.989763i	$0.545584\pi$
$212$	−22.3927	+	7.68599i	−1.53794	+	0.527876i
$213$	13.0593	+	3.95149i	0.894807	+	0.270751i
$214$	9.20232	−	12.8879i	0.629058	−	0.880997i
$215$	−15.4056	−	26.6832i	−1.05065	−	1.81978i
$216$	13.5374	−	5.72170i	0.921106	−	0.389312i
$217$	2.07178	−	8.05014i	0.140642	−	0.546479i
$218$	3.41547	+	0.330555i	0.231325	+	0.0223880i
$219$	−14.7519	+	13.8361i	−0.996838	+	0.934954i
$220$	9.44444	−	10.8432i	0.636744	−	0.731048i
$221$	27.0391	−	15.6110i	1.81884	−	1.05011i
$222$	5.10475	−	3.93648i	0.342609	−	0.264199i
$223$	−13.2429	−	22.9374i	−0.886810	−	1.53600i	−0.843625	−	0.536933i	$-0.819583\pi$
$223$	−13.2429	−	22.9374i	−0.886810	−	1.53600i	−0.0431849	−	0.999067i	$-0.513750\pi$
$224$	−3.13018	+	14.6356i	−0.209144	+	0.977885i
$225$	−31.2480	−	20.8159i	−2.08320	−	1.38773i
$226$	0.343643	−	3.55071i	0.0228588	−	0.236190i
$227$			0.762144i			0.0505853i	0.999680	+	0.0252926i	$0.00805175\pi$
$227$			0.762144i			0.0505853i	−0.999680	+	0.0252926i	$0.991948\pi$
$228$	0.254396	−	0.480659i	0.0168478	−	0.0318324i
$229$		−	10.3143i		−	0.681586i	−0.940138	−	0.340793i	$-0.889304\pi$
$229$		−	10.3143i		−	0.681586i	0.940138	−	0.340793i	$-0.110696\pi$
$230$	12.8213	+	28.1701i	0.845410	+	1.85748i
$231$	6.90321	−	3.78452i	0.454198	−	0.249003i
$232$	−0.893629	−	3.74638i	−0.0586696	−	0.245962i
$233$	8.04504	+	13.9344i	0.527048	+	0.912874i	0.999503	+	0.0315189i	$0.0100345\pi$
$233$	8.04504	+	13.9344i	0.527048	+	0.912874i	−0.472455	+	0.881355i	$0.656632\pi$
$234$	−14.7604	−	12.0373i	−0.964920	−	0.786901i
$235$	10.2968	+	5.94485i	0.671688	+	0.387799i
$236$	−1.12321	+	5.74844i	−0.0731144	+	0.374192i
$237$	−0.360362	+	0.337991i	−0.0234080	+	0.0219549i
$238$	−19.9228	+	16.7407i	−1.29140	+	1.08514i
$239$	8.26157	−	14.3095i	0.534397	−	0.925602i	−0.464795	−	0.885418i	$-0.653872\pi$
$239$	8.26157	−	14.3095i	0.534397	−	0.925602i	0.999192	−	0.0401843i	$-0.0127945\pi$
$240$	28.6428	+	4.50922i	1.84888	+	0.291069i
$241$	−0.368157			−0.0237151			−0.0118575	−	0.999930i	$-0.503774\pi$
$241$	−0.368157			−0.0237151			−0.0118575	+	0.999930i	$0.503774\pi$
$242$	−10.3600	+	4.71524i	−0.665968	+	0.303107i
$243$	−1.58233	−	15.5079i	−0.101506	−	0.994835i
$244$	2.55250	−	0.876111i	0.163407	−	0.0560873i
$245$	29.2903	−	0.580360i	1.87129	−	0.0370778i
$246$	2.83929	−	6.90136i	0.181026	−	0.440015i
$247$	−0.704773			−0.0448436
$248$	8.64389	−	2.06184i	0.548887	−	0.130927i
$249$	−19.2015	+	4.49135i	−1.21684	+	0.284628i
$250$	−18.4266	−	40.4858i	−1.16540	−	2.56054i
$251$		−	26.7996i		−	1.69157i	−0.533521	−	0.845787i	$-0.679132\pi$
$251$		−	26.7996i		−	1.69157i	0.533521	−	0.845787i	$-0.320868\pi$
$252$	13.8629	+	7.73437i	0.873280	+	0.487219i
$253$			8.98357i			0.564792i
$254$	−14.2141	+	6.46937i	−0.891873	+	0.405925i
$255$	34.4887	+	36.7715i	2.15977	+	2.30272i
$256$	−15.3973	+	4.35014i	−0.962330	+	0.271884i
$257$	8.40334			0.524186			0.262093	−	0.965043i	$-0.415587\pi$
$257$	8.40334			0.524186			0.262093	+	0.965043i	$0.415587\pi$
$258$	14.2803	−	11.0121i	0.889055	−	0.685585i
$259$	6.74304	+	1.73539i	0.418992	+	0.107832i
$260$	−12.1991	−	35.5414i	−0.756556	−	2.20418i
$261$	−4.07674	−	0.261461i	−0.252344	−	0.0161840i
$262$	−2.58325	−	5.67577i	−0.159594	−	0.350650i
$263$	−2.18179			−0.134535			−0.0672676	−	0.997735i	$-0.521428\pi$
$263$	−2.18179			−0.134535			−0.0672676	+	0.997735i	$0.521428\pi$
$264$	7.02465	+	4.63519i	0.432338	+	0.285276i
$265$	−24.7709	+	42.9044i	−1.52166	+	2.63560i
$266$	0.578408	−	0.102401i	0.0354645	−	0.00627863i
$267$	2.57014	+	10.9879i	0.157290	+	0.672446i
$268$	0.418064	−	2.13961i	0.0255373	−	0.130697i
$269$	12.7838	+	7.38074i	0.779443	+	0.450012i	0.836233	−	0.548374i	$-0.184753\pi$
$269$	12.7838	+	7.38074i	0.779443	+	0.450012i	−0.0567896	+	0.998386i	$0.518086\pi$
$270$	13.4975	−	27.6343i	0.821431	−	1.68177i
$271$	−1.13991	−	1.97438i	−0.0692447	−	0.119935i	0.829324	−	0.558767i	$-0.188726\pi$
$271$	−1.13991	−	1.97438i	−0.0692447	−	0.119935i	−0.898569	+	0.438832i	$0.855392\pi$
$272$	−25.7731	−	10.4715i	−1.56272	−	0.634930i
$273$	0.454982	−	20.5675i	0.0275367	−	1.24480i
$274$	−20.5621	+	9.35859i	−1.24220	+	0.565373i
$275$		−	21.5007i		−	1.29654i
$276$	−15.3439	+	9.62868i	−0.923595	+	0.579579i
$277$			29.4298i			1.76826i	0.467238	+	0.884132i	$0.345249\pi$
$277$			29.4298i			1.76826i	−0.467238	+	0.884132i	$0.654751\pi$
$278$	2.86021	+	0.276816i	0.171544	+	0.0166023i
$279$	0.603260	−	9.40612i	0.0361162	−	0.563130i
$280$	15.1759	+	27.3964i	0.906931	+	1.63725i
$281$	6.77913	+	11.7418i	0.404409	+	0.700456i	0.994252	−	0.107061i	$-0.0341440\pi$
$281$	6.77913	+	11.7418i	0.404409	+	0.700456i	−0.589844	+	0.807517i	$0.700811\pi$
$282$	−2.64762	+	6.43547i	−0.157663	+	0.383227i
$283$	−0.0507880	+	0.0293224i	−0.00301903	+	0.00174304i	−0.501509	−	0.865153i	$-0.667221\pi$
$283$	−0.0507880	+	0.0293224i	−0.00301903	+	0.00174304i	0.498490	+	0.866896i	$0.333888\pi$
$284$	−10.3476	+	11.8802i	−0.614019	+	0.704958i
$285$	−0.259191	−	1.10809i	−0.0153531	−	0.0656378i
$286$	1.05067	−	10.8561i	0.0621272	−	0.641933i
$287$	7.76482	−	2.16324i	0.458343	−	0.127692i
$288$	−0.387795	+	16.9661i	−0.0228510	+	0.999739i
$289$	−15.6845	−	27.1664i	−0.922618	−	1.59802i
$290$	−6.55909	−	4.68338i	−0.385163	−	0.275018i
$291$	1.22446	+	5.23482i	0.0717791	+	0.306870i
$292$	−7.58174	−	22.0890i	−0.443688	−	1.29266i
$293$	3.12856	+	1.80628i	0.182772	+	0.105524i	0.588595	−	0.808428i	$-0.299681\pi$
$293$	3.12856	+	1.80628i	0.182772	+	0.105524i	−0.405822	+	0.913952i	$0.633015\pi$
$294$	2.61498	+	16.9459i	0.152509	+	0.988302i
$295$	6.12826	+	10.6145i	0.356801	+	0.617998i
$296$	1.72706	+	7.24038i	0.100383	+	0.420839i
$297$	6.88844	−	5.67750i	0.399708	−	0.329442i
$298$	6.68036	+	14.6777i	0.386983	+	0.850255i
$299$	20.3307	+	11.7379i	1.17575	+	0.678821i
$300$	36.7232	−	23.0447i	2.12021	−	1.33049i
$301$	18.8634	+	4.85467i	1.08727	+	0.279819i
$302$	15.2685	−	6.94928i	0.878605	−	0.399886i
$303$	4.67545	−	15.4519i	0.268598	−	0.887689i
$304$	0.385645	+	0.495593i	0.0221182	+	0.0284242i
$305$	2.82359	−	4.89059i	0.161678	−	0.280035i
$306$	−18.6481	+	22.8668i	−1.06604	+	1.30721i
$307$			18.5251i			1.05728i	0.848846	+	0.528640i	$0.177298\pi$
$307$			18.5251i			1.05728i	−0.848846	+	0.528640i	$0.822702\pi$
$308$	0.715070	+	9.06226i	0.0407449	+	0.516370i
$309$	4.14030	+	1.25277i	0.235533	+	0.0712679i
$310$	10.8058	−	15.1336i	0.613729	−	0.859529i
$311$	6.48423	+	11.2310i	0.367687	+	0.636852i	0.989203	−	0.146549i	$-0.0468165\pi$
$311$	6.48423	+	11.2310i	0.367687	+	0.636852i	−0.621517	+	0.783401i	$0.713483\pi$
$312$	19.6683	−	9.84112i	1.11350	−	0.557144i
$313$	6.65736	−	11.5309i	0.376297	−	0.651765i	−0.614224	−	0.789132i	$-0.710531\pi$
$313$	6.65736	−	11.5309i	0.376297	−	0.651765i	0.990520	+	0.137367i	$0.0438641\pi$
$314$	−0.505434	+	0.707861i	−0.0285233	+	0.0399469i
$315$	32.5049	−	6.84864i	1.83145	−	0.385877i
$316$	−0.185209	−	0.539595i	−0.0104188	−	0.0303546i
$317$	3.78315	+	2.18420i	0.212483	+	0.122677i	0.602465	−	0.798146i	$-0.294185\pi$
$317$	3.78315	+	2.18420i	0.212483	+	0.122677i	−0.389982	+	0.920823i	$0.627519\pi$
$318$	−26.8152	−	11.0320i	−1.50372	−	0.618646i
$319$	−1.16966	−	2.02590i	−0.0654882	−	0.113429i
$320$	−18.3173	+	28.0262i	−1.02397	+	1.56671i
$321$	18.8854	−	4.41741i	1.05408	−	0.246556i
$322$	−18.3909	−	6.67934i	−1.02488	−	0.372225i
$323$			1.09183i			0.0607511i
$324$	17.0802	+	5.68024i	0.948903	+	0.315569i
$325$	−48.6581	−	28.0928i	−2.69907	−	1.55831i
$326$	−10.9619	+	15.3522i	−0.607126	+	0.850281i
$327$	2.87504	+	3.06533i	0.158990	+	0.169513i
$328$	5.92244	+	6.25927i	0.327012	+	0.345610i
$329$	−7.24064	+	2.01720i	−0.399189	+	0.111212i
$330$	17.4551	−	2.34055i	0.960871	−	0.128843i
$331$	−15.3452	−	8.85955i	−0.843448	−	0.486965i	0.0149868	−	0.999888i	$-0.495229\pi$
$331$	−15.3452	−	8.85955i	−0.843448	−	0.486965i	−0.858435	+	0.512923i	$0.828563\pi$
$332$	4.36660	−	22.3478i	0.239648	−	1.22649i
$333$	7.87885	+	0.505309i	0.431758	+	0.0276907i
$334$	2.15283	−	22.2442i	0.117797	−	1.21715i
$335$	−2.28098	−	3.95077i	−0.124623	−	0.215854i
$336$	−14.7119	+	10.9344i	−0.802600	+	0.596518i
$337$	7.19554	−	12.4630i	0.391966	−	0.678905i	−0.600743	−	0.799442i	$-0.705128\pi$
$337$	7.19554	−	12.4630i	0.391966	−	0.678905i	0.992709	+	0.120537i	$0.0384618\pi$
$338$	−8.23342	−	5.87890i	−0.447839	−	0.319770i
$339$	3.18670	−	2.98887i	0.173078	−	0.162333i
$340$	−55.0605	+	18.8988i	−2.98608	+	1.02493i
$341$	4.67430	−	2.69871i	0.253127	−	0.146143i
$342$	0.622633	−	0.236546i	0.0336681	−	0.0127909i
$343$	−12.7009	+	13.4791i	−0.685784	+	0.727805i
$344$	4.83137	+	20.2547i	0.260490	+	1.09206i
$345$	−10.9783	+	36.2821i	−0.591050	+	1.95336i
$346$	−14.2129	−	1.37555i	−0.764091	−	0.0739498i
$347$	−22.6014	+	13.0489i	−1.21331	+	0.700502i	−0.963478	−	0.267788i	$-0.913707\pi$
$347$	−22.6014	+	13.0489i	−1.21331	+	0.700502i	−0.249828	+	0.968290i	$0.580374\pi$
$348$	2.20659	−	4.16915i	0.118286	−	0.223490i
$349$	6.21622	−	3.58894i	0.332747	−	0.192111i	−0.324313	−	0.945950i	$-0.605133\pi$
$349$	6.21622	−	3.58894i	0.332747	−	0.192111i	0.657060	+	0.753838i	$0.271800\pi$
$350$	44.0156	+	15.9859i	2.35273	+	0.854483i
$351$	−3.84828	−	23.0074i	−0.205406	−	1.22804i
$352$	−8.20885	+	5.20151i	−0.437533	+	0.277241i
$353$	−15.2887			−0.813734			−0.406867	−	0.913487i	$-0.633379\pi$
$353$	−15.2887			−0.813734			−0.406867	+	0.913487i	$0.633379\pi$
$354$	−5.68065	+	4.38058i	−0.301923	+	0.232825i
$355$			32.9680i			1.74976i
$356$	−12.7883	−	2.49875i	−0.677779	−	0.132433i
$357$	−31.8630	−	0.704856i	−1.68637	−	0.0373049i
$358$	8.75578	+	0.847396i	0.462757	+	0.0447863i
$359$	−3.04329	−	5.27113i	−0.160619	−	0.278200i	0.774472	−	0.632608i	$-0.218016\pi$
$359$	−3.04329	−	5.27113i	−0.160619	−	0.278200i	−0.935091	+	0.354408i	$0.884682\pi$
$360$	22.7062	+	27.3046i	1.19672	+	1.43908i
$361$	−9.48768	+	16.4331i	−0.499351	+	0.864902i
$362$	−8.65832	−	19.0235i	−0.455071	−	0.999855i
$363$	−13.3433	−	4.03744i	−0.700344	−	0.211911i
$364$	21.4431	+	10.2225i	1.12392	+	0.535802i
$365$	−42.3225	−	24.4349i	−2.21526	−	1.27898i
$366$	3.05661	+	1.25752i	0.159772	+	0.0657317i
$367$	22.8559			1.19307			0.596533	−	0.802588i	$-0.296544\pi$
$367$	22.8559			1.19307			0.596533	+	0.802588i	$0.296544\pi$
$368$	−2.87069	−	20.7193i	−0.149645	−	1.08007i
$369$	8.19154	−	4.05391i	0.426434	−	0.211038i
$370$	12.6763	+	9.05127i	0.659011	+	0.470553i
$371$	−8.40525	−	30.1702i	−0.436379	−	1.56636i
$372$	9.61934	+	5.09119i	0.498740	+	0.263966i
$373$		−	8.12015i		−	0.420445i	−0.977654	−	0.210223i	$-0.932581\pi$
$373$		−	8.12015i		−	0.420445i	0.977654	−	0.210223i	$-0.0674189\pi$
$374$	−16.8182	−	1.62769i	−0.869648	−	0.0841658i
$375$	15.7778	−	52.1442i	0.814764	−	2.69271i
$376$	−5.52263	−	5.83673i	−0.284808	−	0.301006i
$377$	−6.11308			−0.314840
$378$	6.50119	+	18.3231i	0.334385	+	0.942436i
$379$			24.9320i			1.28067i	0.768095	+	0.640336i	$0.221205\pi$
$379$			24.9320i			1.28067i	−0.768095	+	0.640336i	$0.778795\pi$
$380$	1.28967	+	0.251992i	0.0661584	+	0.0129269i
$381$	−18.3073	−	5.53943i	−0.937909	−	0.283793i
$382$	2.18235	−	22.5492i	0.111659	−	1.15372i
$383$	−14.9842			−0.765658			−0.382829	−	0.923819i	$-0.625050\pi$
$383$	−14.9842			−0.765658			−0.382829	+	0.923819i	$0.625050\pi$
$384$	−17.6825	−	8.44566i	−0.902356	−	0.430991i
$385$	13.5834	+	13.3170i	0.692277	+	0.678696i
$386$	9.65809	+	6.89616i	0.491584	+	0.351005i
$387$	22.0407	+	1.41358i	1.12039	+	0.0718563i
$388$	−6.09259	−	1.19045i	−0.309304	−	0.0604359i
$389$			6.93382i			0.351559i	0.984430	+	0.175779i	$0.0562445\pi$
$389$			6.93382i			0.351559i	−0.984430	+	0.175779i	$0.943755\pi$
$390$	17.5099	−	42.5607i	0.886648	−	2.15514i
$391$	18.1843	−	31.4962i	0.919621	−	1.59283i
$392$	−19.0836	−	5.27398i	−0.963869	−	0.266376i
$393$	2.21192	−	7.31018i	0.111577	−	0.368750i
$394$	−13.3237	−	29.2740i	−0.671238	−	1.47480i
$395$	−1.03386	−	0.596902i	−0.0520194	−	0.0300334i
$396$	2.71546	+	9.94346i	0.136457	+	0.499678i
$397$	27.4707	−	15.8602i	1.37871	−	0.796000i	0.386709	−	0.922202i	$-0.373612\pi$
$397$	27.4707	−	15.8602i	1.37871	−	0.796000i	0.992005	+	0.126202i	$0.0402786\pi$
$398$	2.01506	−	20.8207i	0.101006	−	1.04365i
$399$	0.614927	+	0.373400i	0.0307849	+	0.0186934i
$400$	6.87053	+	49.5882i	0.343526	+	2.47941i
$401$	15.9649			0.797251			0.398625	−	0.917114i	$-0.369487\pi$
$401$	15.9649			0.797251			0.398625	+	0.917114i	$0.369487\pi$
$402$	2.11438	−	1.63048i	0.105455	−	0.0813209i
$403$		−	14.1045i		−	0.702595i
$404$	14.0568	+	12.2435i	0.699350	+	0.609135i
$405$	34.7586	−	14.5119i	1.72717	−	0.721100i
$406$	5.01701	−	0.888211i	0.248990	−	0.0440812i
$407$	2.26052	+	3.91533i	0.112050	+	0.194076i
$408$	−15.2458	−	30.4700i	−0.754781	−	1.50849i
$409$	2.99249	+	5.18315i	0.147969	+	0.256290i	0.930477	−	0.366351i	$-0.119393\pi$
$409$	2.99249	+	5.18315i	0.147969	+	0.256290i	−0.782508	+	0.622641i	$0.786060\pi$
$410$	17.9480	+	1.73703i	0.886388	+	0.0857859i
$411$	−26.4833	−	8.01333i	−1.30632	−	0.395269i
$412$	−3.28060	+	3.76647i	−0.161624	+	0.185561i
$413$	−7.50376	−	1.93117i	−0.369236	−	0.0950265i
$414$	−21.9008	−	3.54621i	−1.07637	−	0.174287i
$415$	−23.8244	−	41.2650i	−1.16949	−	2.02562i
$416$	1.04584	+	25.3737i	0.0512765	+	1.24405i
$417$	2.40764	+	2.56700i	0.117902	+	0.125706i
$418$	0.310404	+	0.221637i	0.0151823	+	0.0108406i
$419$	5.15909	+	2.97860i	0.252038	+	0.145514i	0.620697	−	0.784050i	$-0.286850\pi$
$419$	5.15909	+	2.97860i	0.252038	+	0.145514i	−0.368659	+	0.929565i	$0.620183\pi$
$420$	−8.18647	+	37.4738i	−0.399459	+	1.82853i
$421$	14.4844	−	8.36257i	0.705926	−	0.407567i	−0.103625	−	0.994616i	$-0.533044\pi$
$421$	14.4844	−	8.36257i	0.705926	−	0.407567i	0.809551	+	0.587050i	$0.199711\pi$
$422$	−15.1833	−	1.46947i	−0.739114	−	0.0715325i
$423$	−7.63855	+	3.78025i	−0.371399	+	0.183802i
$424$	24.3204	−	23.0116i	1.18110	−	1.11754i
$425$	−43.5212	+	75.3810i	−2.11109	+	3.65652i
$426$	−19.1244	+	2.56439i	−0.926579	+	0.124245i
$427$	0.958098	+	3.43904i	0.0463656	+	0.166427i
$428$	−4.29472	+	21.9799i	−0.207593	+	1.06244i
$429$	9.74316	−	9.13830i	0.470404	−	0.441201i
$430$	35.4615	+	25.3206i	1.71011	+	1.22107i
$431$	−11.9753	+	20.7418i	−0.576829	+	0.999098i	0.419011	+	0.907981i	$0.362377\pi$
$431$	−11.9753	+	20.7418i	−0.576829	+	0.999098i	−0.995840	+	0.0911166i	$0.970956\pi$
$432$	−14.0729	+	15.2955i	−0.677085	+	0.735905i
$433$	−23.1680			−1.11338			−0.556691	−	0.830720i	$-0.687929\pi$
$433$	−23.1680			−1.11338			−0.556691	+	0.830720i	$0.687929\pi$
$434$	2.04934	+	11.5756i	0.0983714	+	0.555646i
$435$	−2.24818	−	9.61142i	−0.107792	−	0.460832i
$436$	−4.58993	+	1.57543i	−0.219818	+	0.0754496i
$437$	−0.710962	+	0.410474i	−0.0340099	+	0.0196356i
$438$	10.8824	−	26.4515i	0.519982	−	1.26390i
$439$	−0.811555	+	1.40566i	−0.0387334	+	0.0670883i	−0.884742	−	0.466081i	$-0.845666\pi$
$439$	−0.811555	+	1.40566i	−0.0387334	+	0.0670883i	0.846009	+	0.533169i	$0.178999\pi$
$440$	−5.80421	+	19.4899i	−0.276705	+	0.929144i
$441$	−11.2940	+	17.7044i	−0.537808	+	0.843068i
$442$	−25.6582	+	35.9344i	−1.22044	+	1.70923i
$443$	10.8591	+	6.26948i	0.515929	+	0.297872i	0.735268	−	0.677777i	$-0.237057\pi$
$443$	10.8591	+	6.26948i	0.515929	+	0.297872i	−0.219338	+	0.975649i	$0.570390\pi$
$444$	−4.26453	+	8.05745i	−0.202386	+	0.382390i
$445$	−23.6135	+	13.6333i	−1.11939	+	0.646280i
$446$	30.4834	+	21.7660i	1.44343	+	1.03065i
$447$	−5.72008	+	18.9043i	−0.270551	+	0.894143i
$448$	−4.54504	−	20.6723i	−0.214733	−	0.976673i
$449$	8.80744			0.415649			0.207824	−	0.978166i	$-0.433362\pi$
$449$	8.80744			0.415649			0.207824	+	0.978166i	$0.433362\pi$
$450$	52.4160	+	8.48727i	2.47091	+	0.400094i
$451$	4.53263	+	2.61691i	0.213433	+	0.123226i
$452$	1.63781	+	4.77167i	0.0770362	+	0.224440i
$453$	19.6653	+	5.95034i	0.923956	+	0.279572i
$454$	−0.446492	−	0.981005i	−0.0209549	−	0.0460409i
$455$	47.8857	−	13.3407i	2.24491	−	0.625421i
$456$	−0.0458621	+	0.767722i	−0.00214769	+	0.0359519i
$457$	−20.2225	+	35.0264i	−0.945969	+	1.63847i	−0.192170	+	0.981362i	$0.561553\pi$
$457$	−20.2225	+	35.0264i	−0.945969	+	1.63847i	−0.753799	+	0.657105i	$0.771781\pi$
$458$	6.04248	+	13.2762i	0.282347	+	0.620355i
$459$	−35.6430	+	5.96174i	−1.66367	+	0.278270i
$460$	−33.0062	−	28.7485i	−1.53892	−	1.34040i
$461$	−17.2656	+	9.96831i	−0.804140	+	0.464270i	−0.844917	−	0.534898i	$-0.820350\pi$
$461$	−17.2656	+	9.96831i	−0.804140	+	0.464270i	0.0407768	+	0.999168i	$0.487017\pi$
$462$	−6.66846	+	8.91546i	−0.310245	+	0.414785i
$463$	3.96821	−	6.87314i	0.184418	−	0.319422i	−0.758962	−	0.651135i	$-0.774293\pi$
$463$	3.96821	−	6.87314i	0.184418	−	0.319422i	0.943380	+	0.331713i	$0.107627\pi$
$464$	3.34501	+	4.29869i	0.155288	+	0.199562i
$465$	22.1761	−	5.18714i	1.02839	−	0.240548i
$466$	−18.5186	−	13.2228i	−0.857857	−	0.612535i
$467$	−28.0497	+	16.1945i	−1.29798	+	0.749391i	−0.980056	−	0.198724i	$-0.936320\pi$
$467$	−28.0497	+	16.1945i	−1.29798	+	0.749391i	−0.317928	+	0.948115i	$0.602987\pi$
$468$	26.0510	+	6.84676i	1.20421	+	0.316492i
$469$	2.79295	+	0.718793i	0.128966	+	0.0331908i
$470$	−16.7364	−	1.61977i	−0.771991	−	0.0747144i
$471$	−1.03727	+	0.242625i	−0.0477949	+	0.0111796i
$472$	−1.92190	−	8.05721i	−0.0884626	−	0.370863i
$473$	6.32370	+	10.9530i	0.290764	+	0.503618i
$474$	0.265838	−	0.646163i	0.0122104	−	0.0296793i
$475$	1.70157	−	0.982403i	0.0780735	−	0.0450757i
$476$	15.8366	−	33.2195i	0.725869	−	1.52261i
$477$	−15.7515	−	31.8282i	−0.721210	−	1.45731i
$478$	−2.25100	+	23.2586i	−0.102958	+	1.06382i
$479$	−36.4039			−1.66334			−0.831669	−	0.555272i	$-0.812614\pi$
$479$	−36.4039			−1.66334			−0.831669	+	0.555272i	$0.812614\pi$
$480$	−39.5097	+	10.9759i	−1.80336	+	0.500979i
$481$	11.8144			0.538688
$482$	0.473879	−	0.215680i	0.0215846	−	0.00982395i
$483$	−11.5199	−	21.0131i	−0.524175	−	0.956127i
$484$	10.5727	−	12.1386i	0.480578	−	0.551754i
$485$	−11.2499	+	6.49515i	−0.510833	+	0.294929i
$486$	11.1218	+	19.0343i	0.504497	+	0.863413i
$487$	−21.0586	+	36.4745i	−0.954254	+	1.65282i	−0.218189	+	0.975907i	$0.570015\pi$
$487$	−21.0586	+	36.4745i	−0.954254	+	1.65282i	−0.736066	+	0.676910i	$0.763318\pi$
$488$	−2.77223	+	2.62305i	−0.125493	+	0.118740i
$489$	−22.4965	+	5.26209i	−1.01733	+	0.237960i
$490$	−37.3615	+	17.9064i	−1.68782	+	0.808927i
$491$	−25.4728	−	14.7067i	−1.14957	−	0.663705i	−0.200789	−	0.979635i	$-0.564350\pi$
$491$	−25.4728	−	14.7067i	−1.14957	−	0.663705i	−0.948783	+	0.315929i	$0.897684\pi$
$492$	0.388436	+	10.5466i	0.0175120	+	0.475475i
$493$			9.47036i			0.426524i
$494$	0.907160	−	0.412882i	0.0408150	−	0.0185764i
$495$	17.9511	+	11.9581i	0.806841	+	0.537478i
$496$	−9.91821	+	7.71784i	−0.445341	+	0.346541i
$497$	−14.8825	−	14.5905i	−0.667570	−	0.654474i
$498$	22.0842	−	17.0300i	0.989619	−	0.763134i
$499$		−	26.5309i		−	1.18769i	−0.804581	−	0.593843i	$-0.797610\pi$
$499$		−	26.5309i		−	1.18769i	0.804581	−	0.593843i	$-0.202390\pi$
$500$	47.4361	+	41.3169i	2.12141	+	1.84775i
$501$	19.9638	−	18.7245i	0.891917	−	0.836547i
$502$	15.7002	+	34.4955i	0.700733	+	1.53961i
$503$	40.6065			1.81055			0.905277	−	0.424822i	$-0.139663\pi$
$503$	40.6065			1.81055			0.905277	+	0.424822i	$0.139663\pi$
$504$	−22.3749	−	1.83402i	−0.996657	−	0.0816936i
$505$	39.0081			1.73584
$506$	−5.26291	−	11.5633i	−0.233965	−	0.514053i
$507$	−2.82206	−	12.0649i	−0.125332	−	0.535821i
$508$	14.5059	−	16.6543i	0.643596	−	0.738915i
$509$			37.9133i			1.68048i	0.542216	+	0.840239i	$0.317586\pi$
$509$			37.9133i			1.68048i	−0.542216	+	0.840239i	$0.682414\pi$
$510$	−65.9349	−	27.1263i	−2.91964	−	1.20117i
$511$	29.7610	−	8.29125i	1.31655	−	0.366783i
$512$	17.2704	−	14.6196i	0.763250	−	0.646103i
$513$	0.764063	+	0.285739i	0.0337342	+	0.0126157i
$514$	−10.8165	+	4.92299i	−0.477095	+	0.217144i
$515$			10.4521i			0.460576i
$516$	−11.9298	+	22.5404i	−0.525182	+	0.992285i
$517$	−4.22664	−	2.44025i	−0.185888	−	0.107322i
$518$	−9.69606	+	1.71659i	−0.426020	+	0.0754226i
$519$	−11.9640	−	12.7559i	−0.525160	−	0.559920i
$520$	36.5237	+	38.6009i	1.60167	+	1.69276i
$521$	19.4619	−	33.7089i	0.852640	−	1.47682i	−0.0261779	−	0.999657i	$-0.508334\pi$
$521$	19.4619	−	33.7089i	0.852640	−	1.47682i	0.878818	−	0.477158i	$-0.158333\pi$
$522$	5.40061	−	2.05176i	0.236378	−	0.0898031i
$523$	6.93946	−	4.00650i	0.303441	−	0.175192i	−0.340546	−	0.940228i	$-0.610612\pi$
$523$	6.93946	−	4.00650i	0.303441	−	0.175192i	0.643988	+	0.765036i	$0.277279\pi$
$524$	6.65015	+	5.79229i	0.290513	+	0.253037i
$525$	27.5711	+	50.2913i	1.20330	+	2.19489i
$526$	2.80833	−	1.27818i	0.122449	−	0.0557311i
$527$	−21.8506			−0.951829
$528$	−11.7574	−	1.85095i	−0.511673	−	0.0805525i
$529$	4.34559			0.188939
$530$	6.74923	−	69.7368i	0.293168	−	3.02917i
$531$	−8.76771	−	0.562315i	−0.380486	−	0.0244024i
$532$	−0.684517	+	0.470660i	−0.0296776	+	0.0204057i
$533$	11.8446	−	6.83851i	0.513049	−	0.296209i
$534$	−9.74528	−	12.6375i	−0.421720	−	0.546878i
$535$	23.4322	+	40.5857i	1.01306	+	1.75467i
$536$	0.715343	+	2.99895i	0.0308981	+	0.129535i
$537$	7.37033	+	7.85817i	0.318053	+	0.339105i
$538$	−20.7788	−	2.01100i	−0.895838	−	0.0867005i
$539$	−12.0231	+	0.238227i	−0.517873	+	0.0102612i
$540$	−1.18431	+	43.4772i	−0.0509648	+	1.87096i
$541$	−21.6509	+	12.5001i	−0.930843	+	0.537423i	−0.887078	−	0.461619i	$-0.847269\pi$
$541$	−21.6509	+	12.5001i	−0.930843	+	0.537423i	−0.0437652	+	0.999042i	$0.513935\pi$
$542$	2.62392	+	1.87356i	0.112707	+	0.0804761i
$543$	7.41372	−	24.5016i	0.318153	−	1.05146i
$544$	39.3088	−	1.62021i	1.68535	−	0.0694659i
$545$	−5.07740	+	8.79432i	−0.217492	+	0.376707i
$546$	11.4635	+	26.7403i	0.490594	+	1.14438i
$547$	−12.5529	+	7.24740i	−0.536722	+	0.309876i	−0.743749	−	0.668459i	$-0.766954\pi$
$547$	−12.5529	+	7.24740i	−0.536722	+	0.309876i	0.207028	+	0.978335i	$0.433621\pi$
$548$	20.9843	−	24.0921i	0.896403	−	1.02916i
$549$	1.79548	+	3.62803i	0.0766291	+	0.154841i
$550$	12.5959	+	27.6750i	0.537092	+	1.18006i
$551$	0.106887	−	0.185134i	0.00455354	−	0.00788696i
$552$	14.1093	−	21.3827i	0.600532	−	0.910110i
$553$	0.727008	−	0.202541i	0.0309155	−	0.00861290i
$554$	−17.2410	−	37.8810i	−0.732502	−	1.60941i
$555$	4.34491	+	18.5754i	0.184431	+	0.788480i
$556$	−3.84374	+	1.31931i	−0.163011	+	0.0559513i
$557$	−12.9699	−	7.48819i	−0.549553	−	0.317285i	0.199388	−	0.979921i	$-0.436104\pi$
$557$	−12.9699	−	7.48819i	−0.549553	−	0.317285i	−0.748942	+	0.662636i	$0.769438\pi$
$558$	4.73396	+	12.4606i	0.200404	+	0.527501i
$559$	33.0502			1.39787
$560$	−35.5836	−	26.3731i	−1.50368	−	1.11447i
$561$	−14.1570	−	15.0941i	−0.597710	−	0.637272i
$562$	−15.6046	−	11.1422i	−0.658242	−	0.470004i
$563$	28.5806	−	16.5010i	1.20453	−	0.695434i	0.242968	−	0.970034i	$-0.421879\pi$
$563$	28.5806	−	16.5010i	1.20453	−	0.695434i	0.961558	+	0.274600i	$0.0885455\pi$
$564$	−0.362214	−	9.83459i	−0.0152520	−	0.414111i
$565$	9.14252	+	5.27844i	0.384629	+	0.222066i
$566$	0.0481944	−	0.0674963i	0.00202576	−	0.00283708i
$567$	−8.83200	+	22.1132i	−0.370909	+	0.928669i
$568$	6.35928	−	21.3538i	0.266829	−	0.895984i
$569$	10.3081	−	17.8541i	0.432137	−	0.748484i	−0.564920	−	0.825146i	$-0.691093\pi$
$569$	10.3081	−	17.8541i	0.432137	−	0.748484i	0.997057	+	0.0766622i	$0.0244263\pi$
$570$	0.982784	+	1.27446i	0.0411643	+	0.0533811i
$571$	0.708376	−	0.408981i	0.0296446	−	0.0171153i	−0.485104	−	0.874456i	$-0.661218\pi$
$571$	0.708376	−	0.408981i	0.0296446	−	0.0171153i	0.514749	+	0.857341i	$0.327885\pi$
$572$	5.00751	+	14.5891i	0.209375	+	0.610001i
$573$	20.2376	−	18.9812i	0.845436	−	0.792951i
$574$	−8.72731	+	7.33337i	−0.364271	+	0.306089i
$575$	−65.4472			−2.72934
$576$	−9.44023	−	22.0654i	−0.393343	−	0.919392i
$577$	−14.4585	+	25.0429i	−0.601916	+	1.04255i	0.390614	+	0.920554i	$0.372263\pi$
$577$	−14.4585	+	25.0429i	−0.601916	+	1.04255i	−0.992531	+	0.121995i	$0.961071\pi$
$578$	36.1036	+	25.7790i	1.50171	+	1.07227i
$579$	3.31038	+	14.1526i	0.137575	+	0.588160i
$580$	11.1863	+	2.18573i	0.464487	+	0.0907576i
$581$	29.1718	+	7.50765i	1.21025	+	0.311470i
$582$	−4.64283	−	6.02074i	−0.192452	−	0.249568i
$583$	10.1680	−	17.6115i	0.421116	−	0.729394i
$584$	22.6995	+	23.9905i	0.939312	+	0.992734i
$585$	50.5172	−	25.0005i	2.08863	−	1.03364i
$586$	−5.08516	−	0.492149i	−0.210066	−	0.0203305i
$587$	18.4583	−	10.6569i	0.761854	−	0.439856i	−0.0681072	−	0.997678i	$-0.521696\pi$
$587$	18.4583	−	10.6569i	0.761854	−	0.439856i	0.829961	+	0.557822i	$0.188363\pi$
$588$	−13.2934	−	20.2802i	−0.548211	−	0.836340i
$589$	0.427153	+	0.246617i	0.0176005	+	0.0101617i
$590$	−14.1064	−	10.0724i	−0.580752	−	0.414674i
$591$	11.4085	−	37.7039i	0.469282	−	1.55093i
$592$	−6.46469	−	8.30779i	−0.265697	−	0.341448i
$593$	−14.8709	−	25.7572i	−0.610677	−	1.05772i	−0.991127	−	0.132921i	$-0.957564\pi$
$593$	−14.8709	−	25.7572i	−0.610677	−	1.05772i	0.380450	−	0.924801i	$-0.375769\pi$
$594$	−5.54048	+	11.3434i	−0.227329	+	0.465424i
$595$	−20.6673	−	74.1843i	−0.847279	−	3.04126i
$596$	−17.1974	−	14.9790i	−0.704435	−	0.613564i
$597$	18.6863	−	17.5262i	0.764778	−	0.717300i
$598$	−33.0454	−	3.19818i	−1.35133	−	0.130783i
$599$	6.28024	+	10.8777i	0.256604	+	0.444451i	0.965330	−	0.261033i	$-0.0840632\pi$
$599$	6.28024	+	10.8777i	0.256604	+	0.444451i	−0.708726	+	0.705484i	$0.750730\pi$
$600$	−33.7684	+	51.1761i	−1.37859	+	2.08926i
$601$	3.09792	+	5.36575i	0.126367	+	0.218874i	0.922266	−	0.386555i	$-0.126335\pi$
$601$	3.09792	+	5.36575i	0.126367	+	0.218874i	−0.795900	+	0.605429i	$0.793002\pi$
$602$	−27.1243	+	4.80208i	−1.10550	+	0.195718i
$603$	3.26340	+	0.209297i	0.132896	+	0.00852325i
$604$	−15.5820	+	17.8897i	−0.634022	+	0.727923i
$605$		−	33.6851i		−	1.36949i
$606$	3.03422	+	22.6282i	0.123257	+	0.919208i
$607$	−11.1316			−0.451818			−0.225909	−	0.974148i	$-0.572535\pi$
$607$	−11.1316			−0.451818			−0.225909	+	0.974148i	$0.572535\pi$
$608$	−0.786725	−	0.411985i	−0.0319059	−	0.0167082i
$609$	5.33377	+	3.23881i	0.216135	+	0.131243i
$610$	−0.769331	+	7.94916i	−0.0311493	+	0.321852i
$611$	−11.0451	+	6.37686i	−0.446835	+	0.257980i
$612$	10.6070	−	40.3581i	0.428761	−	1.63138i
$613$	34.9436	+	20.1747i	1.41136	+	0.814849i	0.995517	−	0.0945868i	$-0.0301530\pi$
$613$	34.9436	+	20.1747i	1.41136	+	0.814849i	0.415844	+	0.909436i	$0.363486\pi$
$614$	−10.8527	−	23.8448i	−0.437978	−	0.962299i
$615$	15.1080	+	16.1080i	0.609215	+	0.649539i
$616$	−6.22942	−	11.2457i	−0.250990	−	0.453103i
$617$	2.36959	−	4.10425i	0.0953961	−	0.165231i	−0.814378	−	0.580335i	$-0.802922\pi$
$617$	2.36959	−	4.10425i	0.0953961	−	0.165231i	0.909774	+	0.415104i	$0.136255\pi$
$618$	−6.06317	+	0.813010i	−0.243896	+	0.0327041i
$619$		−	2.96360i		−	0.119117i	−0.998225	−	0.0595586i	$-0.981031\pi$
$619$		−	2.96360i		−	0.119117i	0.998225	−	0.0595586i	$-0.0189693\pi$
$620$	−5.04307	+	25.8099i	−0.202534	+	1.03655i
$621$	−17.2820	−	20.9681i	−0.693505	−	0.841421i
$622$	−14.9258	−	10.6575i	−0.598471	−	0.427326i
$623$	4.29619	−	16.6933i	0.172123	−	0.668803i
$624$	−19.5510	+	24.1896i	−0.782667	+	0.968357i
$625$	69.0599			2.76240
$626$	−1.81391	+	18.7423i	−0.0724983	+	0.749093i
$627$	0.106393	+	0.454853i	0.00424894	+	0.0181651i
$628$	0.235885	−	1.20724i	0.00941286	−	0.0481740i
$629$		−	18.3027i		−	0.729778i
$630$	−37.8271	+	27.8579i	−1.50707	+	1.10989i
$631$	21.8000			0.867843			0.433922	−	0.900951i	$-0.357129\pi$
$631$	21.8000			0.867843			0.433922	+	0.900951i	$0.357129\pi$
$632$	0.554509	+	0.586046i	0.0220572	+	0.0233116i
$633$	−12.7809	−	13.6268i	−0.507993	−	0.541617i
$634$	−6.14912	−	0.595121i	−0.244213	−	0.0236353i
$635$		−	46.2164i		−	1.83404i
$636$	40.9786	−	1.50927i	1.62491	−	0.0598463i
$637$	−15.1703	+	27.5208i	−0.601069	+	1.09041i
$638$	2.69239	+	1.92245i	0.106593	+	0.0761103i
$639$	−19.6678	−	13.1017i	−0.778045	−	0.518296i
$640$	7.15858	−	46.8053i	0.282968	−	1.85014i
$641$	25.1914			0.995001			0.497501	−	0.867464i	$-0.334251\pi$
$641$	25.1914			0.995001			0.497501	+	0.867464i	$0.334251\pi$
$642$	−21.7207	+	16.7497i	−0.857247	+	0.661057i
$643$	−37.6044	−	21.7109i	−1.48297	−	0.856195i	−0.483160	−	0.875532i	$-0.660511\pi$
$643$	−37.6044	−	21.7109i	−1.48297	−	0.856195i	−0.999813	+	0.0193372i	$0.993844\pi$
$644$	27.5851	−	2.17664i	1.08701	−	0.0857717i
$645$	12.1547	+	51.9638i	0.478591	+	2.04607i
$646$	−0.639635	−	1.40537i	−0.0251661	−	0.0552935i
$647$	−1.10321	+	1.91081i	−0.0433716	+	0.0751218i	−0.886896	−	0.461969i	$-0.847143\pi$
$647$	−1.10321	+	1.91081i	−0.0433716	+	0.0751218i	0.843525	+	0.537090i	$0.180477\pi$
$648$	−25.3128	+	2.69483i	−0.994381	+	0.105863i
$649$	−2.51554	−	4.35704i	−0.0987436	−	0.171029i
$650$	79.0889	+	7.65433i	3.10212	+	0.300228i
$651$	−7.47280	+	12.3064i	−0.292882	+	0.482327i
$652$	5.11593	−	26.1828i	0.200355	−	1.02540i
$653$			20.4133i			0.798836i	0.916769	+	0.399418i	$0.130788\pi$
$653$			20.4133i			0.798836i	−0.916769	+	0.399418i	$0.869212\pi$
$654$	−5.49643	−	2.26129i	−0.214928	−	0.0884234i
$655$	18.4545			0.721075
$656$	−11.2901	−	4.58713i	−0.440803	−	0.179097i
$657$	31.3965	−	15.5378i	1.22489	−	0.606188i
$658$	8.13815	−	6.83831i	0.317258	−	0.266585i
$659$	9.88795	−	5.70881i	0.385180	−	0.222384i	−0.294890	−	0.955531i	$-0.595283\pi$
$659$	9.88795	−	5.70881i	0.385180	−	0.222384i	0.680070	+	0.733148i	$0.261950\pi$
$660$	−21.0964	+	13.2385i	−0.821177	+	0.515309i
$661$	−22.8482	+	13.1914i	−0.888693	+	0.513087i	−0.873515	−	0.486797i	$-0.838165\pi$
$661$	−22.8482	+	13.1914i	−0.888693	+	0.513087i	−0.0151786	+	0.999885i	$0.504832\pi$
$662$	24.9420	+	2.41393i	0.969400	+	0.0938199i
$663$	−52.6568	+	12.3168i	−2.04502	+	0.478345i
$664$	7.47162	+	31.3234i	0.289955	+	1.21558i
$665$	−0.433258	+	1.68347i	−0.0168010	+	0.0652822i
$666$	−10.4374	+	3.96530i	−0.404441	+	0.153652i
$667$	−6.16676	+	3.56038i	−0.238778	+	0.137859i
$668$	10.2604	+	29.8932i	0.396988	+	1.15660i
$669$	10.4484	+	44.6690i	0.403958	+	1.72700i
$670$	5.25050	+	3.74901i	0.202845	+	0.144837i
$671$	−1.15903	+	2.00750i	−0.0447439	+	0.0774987i
$672$	12.5309	−	22.6931i	0.483389	−	0.875405i
$673$	−3.54562	−	6.14119i	−0.136673	−	0.236725i	0.789562	−	0.613671i	$-0.210308\pi$
$673$	−3.54562	−	6.14119i	−0.136673	−	0.236725i	−0.926235	+	0.376945i	$0.876974\pi$
$674$	−1.96054	+	20.2574i	−0.0755172	+	0.780286i
$675$	41.3618	+	50.1838i	1.59202	+	1.93157i
$676$	14.0418	+	2.74368i	0.540071	+	0.105526i
$677$	−15.2027	−	8.77728i	−0.584287	−	0.337338i	0.178548	−	0.983931i	$-0.442860\pi$
$677$	−15.2027	−	8.77728i	−0.584287	−	0.337338i	−0.762835	+	0.646593i	$0.776193\pi$
$678$	−2.35082	+	5.71406i	−0.0902828	+	0.219447i
$679$	2.04678	−	7.95299i	0.0785483	−	0.305208i
$680$	59.8004	−	56.5824i	2.29324	−	2.16983i
$681$	0.382310	−	1.26350i	0.0146502	−	0.0484174i
$682$	−4.43559	+	6.21206i	−0.169848	+	0.237872i
$683$	42.0150	+	24.2574i	1.60766	+	0.928182i	0.989893	+	0.141820i	$0.0452953\pi$
$683$	42.0150	+	24.2574i	1.60766	+	0.928182i	0.617766	+	0.786362i	$0.288038\pi$
$684$	−0.662854	+	0.669235i	−0.0253449	+	0.0255889i
$685$		−	66.8567i		−	2.55446i
$686$	8.45159	−	24.7905i	0.322683	−	0.946507i
$687$	−5.17390	+	17.0992i	−0.197397	+	0.652376i
$688$	−18.0847	−	23.2407i	−0.689473	−	0.886043i
$689$	−26.5710	−	46.0223i	−1.01227	−	1.75331i
$690$	−7.12454	−	53.1326i	−0.271227	−	2.02272i
$691$	−38.0963	−	21.9949i	−1.44925	−	0.836726i	−0.450815	−	0.892618i	$-0.648866\pi$
$691$	−38.0963	−	21.9949i	−1.44925	−	0.836726i	−0.998437	+	0.0558919i	$0.982200\pi$
$692$	19.1002	−	6.55589i	0.726081	−	0.249218i
$693$	−13.3427	+	2.81124i	−0.506847	+	0.106790i
$694$	21.4472	−	30.0368i	0.814124	−	1.14018i
$695$	−4.25196	+	7.36461i	−0.161286	+	0.279356i
$696$	−0.397800	+	6.65909i	−0.0150786	+	0.252412i
$697$	−10.5942	−	18.3497i	−0.401284	−	0.695044i
$698$	−5.89877	+	8.26125i	−0.223272	+	0.312693i
$699$	−6.34738	−	27.1364i	−0.240080	−	1.02639i
$700$	−66.0205	+	5.20944i	−2.49534	+	0.196898i
$701$		−	5.27441i		−	0.199212i	−0.995027	−	0.0996059i	$-0.968242\pi$
$701$		−	5.27441i		−	0.199212i	0.995027	−	0.0996059i	$-0.0317582\pi$
$702$	18.4320	+	27.3599i	0.695670	+	1.03263i
$703$	−0.206574	+	0.357796i	−0.00779107	+	0.0134945i
$704$	7.51891	−	11.5043i	0.283380	−	0.433583i
$705$	−14.0881	−	15.0206i	−0.530590	−	0.565710i
$706$	19.6791	−	8.95667i	0.740631	−	0.337089i
$707$	−17.2637	+	17.6091i	−0.649267	+	0.662259i
$708$	4.74564	−	8.96646i	0.178352	−	0.336980i
$709$	7.78532	+	4.49486i	0.292384	+	0.168808i	0.639016	−	0.769193i	$-0.279342\pi$
$709$	7.78532	+	4.49486i	0.292384	+	0.168808i	−0.346633	+	0.938001i	$0.612675\pi$
$710$	−19.3139	−	42.4352i	−0.724836	−	1.59257i
$711$	0.766961	−	0.379561i	0.0287633	−	0.0142347i
$712$	17.9245	−	4.27557i	0.671750	−	0.160234i
$713$	−8.21475	−	14.2284i	−0.307645	−	0.532856i
$714$	41.4259	−	17.7593i	1.55033	−	0.664624i
$715$	27.9527	+	16.1385i	1.04537	+	0.603546i
$716$	−11.7666	+	4.03872i	−0.439737	+	0.150934i
$717$	−20.8742	+	19.5783i	−0.779561	+	0.731166i
$718$	7.00524	+	5.00195i	0.261433	+	0.186671i
$719$	26.1129	+	45.2289i	0.973847	+	1.68675i	0.683689	+	0.729773i	$0.260374\pi$
$719$	26.1129	+	45.2289i	0.973847	+	1.68675i	0.290158	+	0.956979i	$0.406292\pi$
$720$	−45.2227	−	21.8434i	−1.68535	−	0.814057i
$721$	−4.71832	−	4.62576i	−0.175719	−	0.172272i
$722$	2.58507	−	26.7104i	0.0962064	−	0.994058i
$723$	0.610339	+	0.184677i	0.0226987	+	0.00686821i
$724$	22.2894	+	19.4141i	0.828378	+	0.721518i
$725$	14.7591	−	8.52119i	0.548141	−	0.316469i
$726$	19.5404	−	2.62017i	0.725211	−	0.0972436i
$727$	−8.43881	−	14.6165i	−0.312978	−	0.542094i	0.666027	−	0.745927i	$-0.267993\pi$
$727$	−8.43881	−	14.6165i	−0.312978	−	0.542094i	−0.979006	+	0.203833i	$0.934660\pi$
$728$	−33.5895	−	0.595861i	−1.24491	−	0.0220841i
$729$	−5.15595	+	26.5031i	−0.190961	+	0.981598i
$730$	68.7909	+	6.65769i	2.54607	+	0.246412i
$731$		−	51.2012i		−	1.89374i
$732$	−4.67107	+	0.172038i	−0.172648	+	0.00635872i
$733$		−	1.23484i		−	0.0456100i	−0.999740	−	0.0228050i	$-0.992740\pi$
$733$		−	1.23484i		−	0.0456100i	0.999740	−	0.0228050i	$-0.00725969\pi$
$734$	−29.4193	+	13.3898i	−1.08589	+	0.494227i
$735$	−48.8492	−	13.7306i	−1.80183	−	0.506462i
$736$	15.8332	+	24.9874i	0.583618	+	0.921047i
$737$	0.936301	+	1.62172i	0.0344891	+	0.0597368i
$738$	−8.16893	+	10.0170i	−0.300703	+	0.368730i
$739$	−21.4392	−	12.3779i	−0.788653	−	0.455329i	0.0508353	−	0.998707i	$-0.483812\pi$
$739$	−21.4392	−	12.3779i	−0.788653	−	0.455329i	−0.839488	+	0.543378i	$0.817145\pi$
$740$	−21.6191	−	4.22422i	−0.794734	−	0.155286i
$741$	1.16839	+	0.353532i	0.0429218	+	0.0129873i
$742$	28.4937	+	33.9099i	1.04604	+	1.24487i
$743$	−16.4540	+	28.4992i	−0.603640	+	1.04554i	0.388624	+	0.921396i	$0.372950\pi$
$743$	−16.4540	+	28.4992i	−0.603640	+	1.04554i	−0.992265	+	0.124140i	$0.960383\pi$
$744$	−15.3643	−	0.917830i	−0.563282	−	0.0336493i
$745$	−47.7237			−1.74846
$746$	4.75708	+	10.4520i	0.174169	+	0.382674i
$747$	34.0856	+	2.18607i	1.24713	+	0.0799842i
$748$	22.6014	−	7.75762i	0.826388	−	0.283647i
$749$	−28.6916	−	7.38406i	−1.04837	−	0.269808i
$750$	10.2393	+	76.3614i	0.373886	+	2.78832i
$751$	4.02721			0.146955			0.0734776	−	0.997297i	$-0.476590\pi$
$751$	4.02721			0.146955			0.0734776	+	0.997297i	$0.476590\pi$
$752$	10.5279	+	4.27747i	0.383914	+	0.155983i
$753$	−13.4433	+	44.4289i	−0.489902	+	1.61908i
$754$	7.86855	−	3.58127i	0.286556	−	0.130422i
$755$			49.6448i			1.80676i
$756$	−19.1024	−	19.7762i	−0.694749	−	0.719252i
$757$			15.4848i			0.562804i	0.959590	+	0.281402i	$0.0907995\pi$
$757$			15.4848i			0.562804i	−0.959590	+	0.281402i	$0.909201\pi$
$758$	−14.6061	−	32.0917i	−0.530518	−	1.16562i
$759$	4.50638	−	14.8932i	0.163571	−	0.540587i
$760$	−1.80764	+	0.431179i	−0.0655700	+	0.0156405i
$761$	−32.6722			−1.18437			−0.592183	−	0.805803i	$-0.701734\pi$
$761$	−32.6722			−1.18437			−0.592183	+	0.805803i	$0.701734\pi$
$762$	26.8097	−	3.59491i	0.971212	−	0.130230i
$763$	−1.72286	−	6.18412i	−0.0623718	−	0.223880i
$764$	10.4011	+	30.3031i	0.376300	+	1.09633i
$765$	−38.7307	−	78.2611i	−1.40031	−	2.82954i
$766$	19.2872	−	8.77832i	0.696874	−	0.317173i
$767$	−13.1472			−0.474718
$768$	27.7081	+	0.511906i	0.999829	+	0.0184718i
$769$	−15.7379	+	27.2589i	−0.567524	+	0.982980i	0.429286	+	0.903168i	$0.358765\pi$
$769$	−15.7379	+	27.2589i	−0.567524	+	0.982980i	−0.996810	+	0.0798115i	$0.974568\pi$
$770$	−25.2857	−	9.18346i	−0.911234	−	0.330949i
$771$	−13.9312	−	4.21533i	−0.501722	−	0.151811i
$772$	−16.4716	−	3.21843i	−0.592826	−	0.115834i
$773$	2.32078	+	1.33990i	0.0834727	+	0.0481930i	0.541155	−	0.840923i	$-0.317987\pi$
$773$	2.32078	+	1.33990i	0.0834727	+	0.0481930i	−0.457683	+	0.889116i	$0.651320\pi$
$774$	−29.1982	+	11.0928i	−1.04951	+	0.398721i
$775$	19.6607	+	34.0533i	0.706232	+	1.22323i
$776$	8.53958	−	2.03696i	0.306553	−	0.0731225i
$777$	−10.3082	−	6.25944i	−0.369806	−	0.224556i
$778$	−4.06209	−	8.92498i	−0.145633	−	0.319976i
$779$			0.478285i			0.0171363i
$780$	2.39549	+	65.0406i	0.0857721	+	2.32883i
$781$		−	13.5328i		−	0.484240i
$782$	−4.95461	+	51.1938i	−0.177177	+	1.83069i
$783$	6.62735	+	2.47845i	0.236842	+	0.0885726i
$784$	27.6535	−	4.39142i	0.987625	−	0.156836i
$785$	−1.28700	−	2.22915i	−0.0459351	−	0.0795619i
$786$	1.43546	+	10.7052i	0.0512013	+	0.381843i
$787$	29.3308	−	16.9341i	1.04553	−	0.603637i	0.124135	−	0.992265i	$-0.460384\pi$
$787$	29.3308	−	16.9341i	1.04553	−	0.603637i	0.921395	+	0.388628i	$0.127051\pi$
$788$	34.2996	+	29.8750i	1.22187	+	1.06425i
$789$	3.61703	+	1.09444i	0.128770	+	0.0389632i
$790$	1.68044	+	0.162636i	0.0597874	+	0.00578631i
$791$	−6.42897	+	1.79108i	−0.228588	+	0.0636834i
$792$	−9.32049	−	11.2081i	−0.331189	−	0.398261i
$793$	3.02878	+	5.24599i	0.107555	+	0.186291i
$794$	−26.0678	+	36.5080i	−0.925112	+	1.29562i
$795$	62.5876	−	58.7022i	2.21975	−	2.08195i
$796$	9.60384	+	27.9802i	0.340399	+	0.991733i
$797$	−5.02878	−	2.90337i	−0.178129	−	0.102843i	0.408285	−	0.912855i	$-0.366127\pi$
$797$	−5.02878	−	2.90337i	−0.178129	−	0.102843i	−0.586413	+	0.810012i	$0.699460\pi$
$798$	−1.01026	−	0.120381i	−0.0357630	−	0.00426144i
$799$	9.87901	+	17.1109i	0.349494	+	0.605342i
$800$	−37.8941	−	59.8033i	−1.33976	−	2.11436i
$801$	1.25096	−	19.5051i	0.0442005	−	0.689181i
$802$	−20.5495	+	9.35285i	−0.725628	+	0.330260i
$803$	17.3726	+	10.0301i	0.613067	+	0.353954i
$804$	−1.76636	+	3.33738i	−0.0622946	+	0.117700i
$805$	40.5363	−	41.3474i	1.42872	−	1.45730i
$806$	8.26294	+	18.1548i	0.291050	+	0.639477i
$807$	−17.4909	−	18.6486i	−0.615710	−	0.656463i
$808$	−25.2660	−	7.52438i	−0.888857	−	0.264707i
$809$	−24.5234	+	42.4758i	−0.862197	+	1.49337i	0.00760607	+	0.999971i	$0.497579\pi$
$809$	−24.5234	+	42.4758i	−0.862197	+	1.49337i	−0.869803	+	0.493398i	$0.835754\pi$
$810$	−36.2385	+	39.0420i	−1.27329	+	1.37180i
$811$			10.0312i			0.352243i	0.984368	+	0.176121i	$0.0563551\pi$
$811$			10.0312i			0.352243i	−0.984368	+	0.176121i	$0.943645\pi$
$812$	−5.93738	+	4.08243i	−0.208361	+	0.143265i
$813$	0.899368	+	3.84498i	0.0315422	+	0.134849i
$814$	−5.20341	−	3.71539i	−0.182379	−	0.130224i
$815$	−27.9127	−	48.3463i	−0.977741	−	1.69350i
$816$	37.4744	+	30.2884i	1.31186	+	1.06030i
$817$	−0.577881	+	1.00092i	−0.0202175	+	0.0350177i
$818$	−6.88831	−	4.91846i	−0.240844	−	0.171970i
$819$	−11.0714	+	33.8690i	−0.386867	+	1.18348i
$820$	−24.1197	+	8.27875i	−0.842295	+	0.289106i
$821$	9.23126	+	5.32967i	0.322173	+	0.186007i	0.652361	−	0.757909i	$-0.273779\pi$
$821$	9.23126	+	5.32967i	0.322173	+	0.186007i	−0.330188	+	0.943915i	$0.607112\pi$
$822$	38.7829	−	5.20039i	1.35271	−	0.181385i
$823$	−1.61713	−	2.80095i	−0.0563696	−	0.0976349i	0.836464	−	0.548022i	$-0.184619\pi$
$823$	−1.61713	−	2.80095i	−0.0563696	−	0.0976349i	−0.892833	+	0.450388i	$0.851286\pi$
$824$	2.01614	−	6.76997i	0.0702355	−	0.235843i
$825$	−10.7853	+	35.6443i	−0.375496	+	1.24098i
$826$	10.7899	−	1.91025i	0.375430	−	0.0664660i
$827$		−	29.3874i		−	1.02190i	−0.859611	−	0.510949i	$-0.829294\pi$
$827$		−	29.3874i		−	1.02190i	0.859611	−	0.510949i	$-0.170706\pi$
$828$	30.2675	−	8.26574i	1.05187	−	0.287254i
$829$	21.5414	+	12.4369i	0.748165	+	0.431953i	0.825030	−	0.565088i	$-0.191158\pi$
$829$	21.5414	+	12.4369i	0.748165	+	0.431953i	−0.0768658	+	0.997041i	$0.524491\pi$
$830$	54.8405	+	39.1577i	1.90354	+	1.35918i
$831$	14.7627	−	48.7893i	0.512113	−	1.69248i
$832$	−16.2110	−	32.0475i	−0.562016	−	1.11105i
$833$	42.6351	+	23.5017i	1.47722	+	0.814287i
$834$	−4.60287	−	1.89367i	−0.159384	−	0.0655723i
$835$	57.2754	+	33.0680i	1.98210	+	1.14436i
$836$	−0.529385	−	0.103438i	−0.0183091	−	0.00357748i
$837$	−5.71844	+	15.2911i	−0.197658	+	0.528536i
$838$	−8.38558	−	0.811568i	−0.289675	−	0.0280352i
$839$	−27.6988	−	47.9757i	−0.956269	−	1.65631i	−0.731437	−	0.681909i	$-0.761150\pi$
$839$	−27.6988	−	47.9757i	−0.956269	−	1.65631i	−0.224832	−	0.974398i	$-0.572183\pi$
$840$	−11.4162	−	53.0309i	−0.393895	−	1.82974i
$841$	−13.5729	+	23.5089i	−0.468030	+	0.810652i
$842$	−13.7447	+	19.2495i	−0.473674	+	0.663382i
$843$	−5.34860	−	22.8664i	−0.184216	−	0.787560i
$844$	20.4044	−	7.00352i	0.702347	−	0.241071i
$845$	25.9282	−	14.9696i	0.891956	−	0.514971i
$846$	7.61747	−	9.34075i	0.261894	−	0.321142i
$847$	15.2062	+	14.9079i	0.522491	+	0.512241i
$848$	−17.8233	+	43.8675i	−0.612054	+	1.50642i
$849$	0.0989063	−	0.0231349i	0.00339445	−	0.000793986i
$850$	11.8581	−	122.524i	0.406728	−	4.20254i
$851$	11.9181	−	6.88092i	0.408547	−	0.235875i
$852$	23.1139	−	14.5046i	0.791870	−	0.496918i
$853$	18.2473	−	10.5351i	0.624777	−	0.360715i	−0.153949	−	0.988079i	$-0.549199\pi$
$853$	18.2473	−	10.5351i	0.624777	−	0.360715i	0.778727	+	0.627363i	$0.215866\pi$
$854$	−3.24795	−	3.86532i	−0.111142	−	0.132269i
$855$	−0.126156	+	1.96704i	−0.00431444	+	0.0672713i
$856$	−7.34862	−	30.8078i	−0.251171	−	1.05299i
$857$	−3.43931			−0.117485			−0.0587423	−	0.998273i	$-0.518709\pi$
$857$	−3.43931			−0.117485			−0.0587423	+	0.998273i	$0.518709\pi$
$858$	−7.18750	+	17.4704i	−0.245377	+	0.596430i
$859$			44.5620i			1.52044i	0.649668	+	0.760218i	$0.274908\pi$
$859$			44.5620i			1.52044i	−0.649668	+	0.760218i	$0.725092\pi$
$860$	−60.4785	−	11.8171i	−2.06230	−	0.402959i
$861$	−13.9578	−	0.308767i	−0.475681	−	0.0105228i
$862$	3.26286	−	33.7137i	0.111133	−	1.14829i
$863$	15.8866	+	27.5164i	0.540786	+	0.936668i	0.998859	+	0.0477538i	$0.0152063\pi$
$863$	15.8866	+	27.5164i	0.540786	+	0.936668i	−0.458074	+	0.888914i	$0.651460\pi$
$864$	9.15353	−	27.9323i	0.311410	−	0.950276i
$865$	21.1287	−	36.5961i	0.718399	−	1.24430i
$866$	29.8210	−	13.5727i	1.01336	−	0.461218i
$867$	12.3748	+	52.9047i	0.420270	+	1.79674i
$868$	−9.41924	−	13.6991i	−0.319710	−	0.464978i
$869$	0.424383	+	0.245018i	0.0143962	+	0.00831165i
$870$	8.52450	+	11.0544i	0.289008	+	0.374780i
$871$	4.89348			0.165809
$872$	4.98506	−	4.71680i	0.168815	−	0.159731i
$873$	0.595980	−	9.29261i	0.0201709	−	0.314507i
$874$	0.674655	−	0.944856i	0.0228205	−	0.0319602i
$875$	−58.2582	+	59.4240i	−1.96949	+	2.00890i
$876$	1.48879	+	40.4228i	0.0503017	+	1.36576i
$877$			45.7919i			1.54628i	0.634234	+	0.773141i	$0.281316\pi$
$877$			45.7919i			1.54628i	−0.634234	+	0.773141i	$0.718684\pi$
$878$	0.221121	−	2.28475i	0.00746248	−	0.0771066i
$879$	−4.28052	−	4.56385i	−0.144378	−	0.153935i
$880$	−3.94692	−	28.4870i	−0.133051	−	0.960298i
$881$	−42.7878			−1.44156			−0.720779	−	0.693165i	$-0.756216\pi$
$881$	−42.7878			−1.44156			−0.720779	+	0.693165i	$0.756216\pi$
$882$	4.16529	−	29.4049i	0.140253	−	0.990116i
$883$			4.42563i			0.148934i	0.997223	+	0.0744672i	$0.0237256\pi$
$883$			4.42563i			0.148934i	−0.997223	+	0.0744672i	$0.976274\pi$
$884$	11.9747	−	61.2851i	0.402752	−	2.06124i
$885$	−4.83508	−	20.6710i	−0.162530	−	0.694847i
$886$	−17.6503	−	1.70822i	−0.592973	−	0.0573888i
$887$	−28.6654			−0.962491			−0.481245	−	0.876586i	$-0.659815\pi$
$887$	−28.6654			−0.962491			−0.481245	+	0.876586i	$0.659815\pi$
$888$	0.768802	−	12.8696i	0.0257993	−	0.431875i
$889$	20.8631	+	20.4538i	0.699726	+	0.685999i
$890$	22.4077	−	31.3820i	0.751106	−	1.05193i
$891$	−14.2678	+	5.95686i	−0.477989	+	0.199562i
$892$	−51.9885	−	10.1582i	−1.74070	−	0.340121i
$893$		−	0.445997i		−	0.0149247i
$894$	−3.71215	−	27.6840i	−0.124153	−	0.925891i
$895$	−13.0162	+	22.5448i	−0.435085	+	0.753589i
$896$	17.9608	+	23.9460i	0.600028	+	0.799979i
$897$	−27.8166	−	29.6577i	−0.928769	−	0.990243i
$898$	−11.3366	+	5.15972i	−0.378308	+	0.172182i
$899$	3.70505	+	2.13911i	0.123570	+	0.0713434i
$900$	−72.4402	+	19.7827i	−2.41467	+	0.659424i
$901$	−71.2976	+	41.1637i	−2.37527	+	1.37136i
$902$	−7.36733	−	0.713020i	−0.245305	−	0.0237410i
$903$	−28.8369	−	17.5105i	−0.959630	−	0.582714i
$904$	−4.90355	−	5.18244i	−0.163090	−	0.172365i
$905$	61.8540			2.05610
$906$	−28.7984	+	3.86158i	−0.956764	+	0.128292i
$907$			20.0917i			0.667135i	0.942726	+	0.333567i	$0.108252\pi$
$907$			20.0917i			0.667135i	−0.942726	+	0.333567i	$0.891748\pi$
$908$	1.14942	+	1.00114i	0.0381448	+	0.0332241i
$909$	−15.5021	+	23.2712i	−0.514173	+	0.771856i
$910$	−53.8213	+	45.2249i	−1.78416	+	1.49919i
$911$	29.0832	+	50.3736i	0.963571	+	1.66895i	0.713407	+	0.700750i	$0.247151\pi$
$911$	29.0832	+	50.3736i	0.963571	+	1.66895i	0.250163	+	0.968204i	$0.419516\pi$
$912$	−0.390728	−	1.01505i	−0.0129383	−	0.0336118i
$913$	9.77948	+	16.9386i	0.323654	+	0.560584i
$914$	5.50995	−	56.9319i	0.182253	−	1.88314i
$915$	−7.13425	+	6.69135i	−0.235851	+	0.221209i
$916$	−15.5553	−	13.5487i	−0.513963	−	0.447662i
$917$	−8.16731	+	8.33074i	−0.269708	+	0.275105i
$918$	42.3858	−	28.5547i	1.39894	−	0.942446i
$919$	−10.3471	−	17.9216i	−0.341318	−	0.591180i	0.643360	−	0.765564i	$-0.277540\pi$
$919$	−10.3471	−	17.9216i	−0.341318	−	0.591180i	−0.984678	+	0.174384i	$0.944207\pi$
$920$	59.3264	+	17.6678i	1.95593	+	0.582489i
$921$	9.29264	−	30.7112i	0.306203	−	1.01197i
$922$	16.3839	−	22.9457i	0.539575	−	0.755676i
$923$	−30.6259	−	17.6819i	−1.00806	−	0.582006i
$924$	3.36040	−	15.3823i	0.110549	−	0.506041i
$925$	−28.5240	+	16.4684i	−0.937865	+	0.541476i
$926$	−1.08120	+	11.1716i	−0.0355305	+	0.367121i
$927$	−6.23545	−	4.15375i	−0.204799	−	0.136427i
$928$	−6.82392	−	3.57349i	−0.224006	−	0.117305i
$929$	15.6562	−	27.1174i	0.513664	−	0.889692i	−0.486211	−	0.873842i	$-0.661621\pi$
$929$	15.6562	−	27.1174i	0.513664	−	0.889692i	0.999874	−	0.0158501i	$-0.00504546\pi$
$930$	−25.5055	+	19.6683i	−0.836358	+	0.644949i
$931$	−0.568211	−	0.940630i	−0.0186224	−	0.0308279i
$932$	31.5829	+	6.17108i	1.03453	+	0.202140i
$933$	−5.11594	−	21.8717i	−0.167488	−	0.716046i
$934$	26.6172	−	37.2775i	0.870942	−	1.21976i
$935$	25.0017	−	43.3043i	0.817644	−	1.41620i
$936$	−37.5430	+	6.44873i	−1.22713	+	0.210783i
$937$	18.0856			0.590832			0.295416	−	0.955369i	$-0.404542\pi$
$937$	18.0856			0.590832			0.295416	+	0.955369i	$0.404542\pi$
$938$	−4.01608	+	0.711006i	−0.131130	+	0.0232152i
$939$	−16.8209	+	15.7767i	−0.548930	+	0.514852i
$940$	22.4914	−	7.71988i	0.733589	−	0.251795i
$941$	−21.4792	+	12.4010i	−0.700201	+	0.404261i	−0.807422	−	0.589974i	$-0.799138\pi$
$941$	−21.4792	+	12.4010i	−0.700201	+	0.404261i	0.107222	+	0.994235i	$0.465805\pi$
$942$	1.19300	−	0.919969i	0.0388700	−	0.0299742i
$943$	7.96577	−	13.7971i	0.259401	−	0.449296i
$944$	7.19401	+	9.24505i	0.234145	+	0.300901i
$945$	−57.3229	−	4.95148i	−1.86471	−	0.161072i
$946$	−14.5563	−	10.3936i	−0.473267	−	0.337926i
$947$	42.4893	+	24.5312i	1.38072	+	0.797158i	0.992244	−	0.124302i	$-0.0396693\pi$
$947$	42.4893	+	24.5312i	1.38072	+	0.797158i	0.388473	+	0.921460i	$0.373003\pi$
$948$	0.0363686	+	0.987457i	0.00118120	+	0.0320711i
$949$	45.3981	−	26.2106i	1.47368	−	0.850832i
$950$	−1.61468	+	2.26136i	−0.0523870	+	0.0733682i
$951$	−5.17613	−	5.51874i	−0.167848	−	0.178957i
$952$	−0.923106	+	52.0366i	−0.0299180	+	1.68652i
$953$	−5.50408			−0.178295			−0.0891473	−	0.996018i	$-0.528414\pi$
$953$	−5.50408			−0.178295			−0.0891473	+	0.996018i	$0.528414\pi$
$954$	38.9208	+	31.7403i	1.26011	+	1.02763i
$955$	58.0608	+	33.5214i	1.87880	+	1.08473i
$956$	−10.7283	−	31.2564i	−0.346979	−	1.01090i
$957$	0.922836	+	3.94532i	0.0298311	+	0.127534i
$958$	46.8579	−	21.3268i	1.51391	−	0.689037i
$959$	30.1806	+	29.5885i	0.974582	+	0.955462i
$960$	44.4254	−	37.2740i	1.43382	−	1.20301i
$961$	10.5645	−	18.2983i	0.340790	−	0.590266i
$962$	−15.2070	+	6.92129i	−0.490294	+	0.223151i
$963$	−33.5244	−	2.15008i	−1.08031	−	0.0692855i
$964$	−0.483607	+	0.555232i	−0.0155759	+	0.0178828i
$965$	−30.4147	+	17.5599i	−0.979083	+	0.565274i
$966$	27.1383	+	20.2985i	0.873160	+	0.653093i
$967$	−10.0222	+	17.3590i	−0.322292	+	0.558227i	−0.980961	−	0.194207i	$-0.937787\pi$
$967$	−10.0222	+	17.3590i	−0.322292	+	0.558227i	0.658668	+	0.752433i	$0.271120\pi$
$968$	−6.49761	+	21.8183i	−0.208841	+	0.701265i
$969$	0.547690	−	1.81006i	0.0175943	−	0.0581476i
$970$	10.6754	−	14.9509i	0.342767	−	0.480046i
$971$	−7.73167	+	4.46388i	−0.248121	+	0.143253i	−0.618904	−	0.785467i	$-0.712423\pi$
$971$	−7.73167	+	4.46388i	−0.248121	+	0.143253i	0.370783	+	0.928720i	$0.379090\pi$
$972$	−25.4667	−	17.9847i	−0.816843	−	0.576860i
$973$	−1.44277	−	5.17875i	−0.0462532	−	0.166023i
$974$	5.73774	−	59.2856i	0.183849	−	1.89963i
$975$	66.5745	+	70.9810i	2.13209	+	2.27321i
$976$	2.03164	−	5.00037i	0.0650312	−	0.160058i
$977$	−20.8889	−	36.1806i	−0.668295	−	1.15752i	−0.978381	−	0.206812i	$-0.933691\pi$
$977$	−20.8889	−	36.1806i	−0.668295	−	1.15752i	0.310086	−	0.950708i	$-0.399642\pi$
$978$	25.8740	−	19.9525i	0.827359	−	0.638009i
$979$	9.69293	−	5.59622i	0.309788	−	0.178856i
$980$	37.6002	−	44.9362i	1.20109	−	1.43543i
$981$	−3.22865	−	6.52397i	−0.103083	−	0.208294i
$982$	41.4035	+	4.00709i	1.32124	+	0.127871i
$983$	29.6839			0.946769			0.473385	−	0.880856i	$-0.343032\pi$
$983$	29.6839			0.946769			0.473385	+	0.880856i	$0.343032\pi$
$984$	−6.67854	−	13.3476i	−0.212904	−	0.425506i
$985$	95.1829			3.03278
$986$	−5.54809	−	12.1899i	−0.176687	−	0.388206i
$987$	13.0156	+	0.287923i	0.414290	+	0.00916469i
$988$	−0.925783	+	1.06290i	−0.0294531	+	0.0338152i
$989$	33.3404	−	19.2491i	1.06016	−	0.612085i
$990$	−30.1115	−	4.87570i	−0.957007	−	0.154960i
$991$	−26.1486	+	45.2908i	−0.830639	+	1.43871i	0.0668935	+	0.997760i	$0.478691\pi$
$991$	−26.1486	+	45.2908i	−0.830639	+	1.43871i	−0.897532	+	0.440949i	$0.854642\pi$
$992$	8.24499	−	15.7446i	0.261779	−	0.499891i
$993$	20.9954	+	22.3851i	0.666269	+	0.710369i
$994$	27.7039	+	10.0617i	0.878713	+	0.319138i
$995$	53.6102	+	30.9518i	1.69956	+	0.981239i
$996$	−18.4493	+	34.8582i	−0.584587	+	1.10453i
$997$			36.6735i			1.16146i	0.814096	+	0.580731i	$0.197233\pi$
$997$			36.6735i			1.16146i	−0.814096	+	0.580731i	$0.802767\pi$
$998$	15.5428	+	34.1497i	0.491998	+	1.08099i
$999$	−12.8082	−	4.78994i	−0.405235	−	0.151547i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.445.13	yes	184
7.2	even	3		504.2.cq.a.373.74	yes	184
8.5	even	2	inner	504.2.w.a.445.50	yes	184
9.7	even	3		504.2.cq.a.277.74	yes	184
56.37	even	6		504.2.cq.a.373.73	yes	184
63.16	even	3	inner	504.2.w.a.205.50	yes	184
72.61	even	6		504.2.cq.a.277.73	yes	184
504.205	even	6	inner	504.2.w.a.205.13	✓	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.13	✓	184	504.205	even	6	inner
504.2.w.a.205.50	yes	184	63.16	even	3	inner
504.2.w.a.445.13	yes	184	1.1	even	1	trivial
504.2.w.a.445.50	yes	184	8.5	even	2	inner
504.2.cq.a.277.73	yes	184	72.61	even	6
504.2.cq.a.277.74	yes	184	9.7	even	3
504.2.cq.a.373.73	yes	184	56.37	even	6
504.2.cq.a.373.74	yes	184	7.2	even	3

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.w (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28717 + 0.585837i) q^{2} +(-1.65782 - 0.501625i) q^{3} +(1.31359 - 1.50814i) q^{4} -4.18515i q^{5} +(2.42776 - 0.325538i) q^{6} +(1.88927 + 1.85221i) q^{7} +(-0.807285 + 2.71077i) q^{8} +(2.49674 + 1.66321i) q^{9} +O(q^{10})\)	\(q+(-1.28717 + 0.585837i) q^{2} +(-1.65782 - 0.501625i) q^{3} +(1.31359 - 1.50814i) q^{4} -4.18515i q^{5} +(2.42776 - 0.325538i) q^{6} +(1.88927 + 1.85221i) q^{7} +(-0.807285 + 2.71077i) q^{8} +(2.49674 + 1.66321i) q^{9} +(2.45182 + 5.38698i) q^{10} +1.71793i q^{11} +(-2.93422 + 1.84129i) q^{12} +(3.88784 + 2.24464i) q^{13} +(-3.51689 - 1.27729i) q^{14} +(-2.09938 + 6.93823i) q^{15} +(-0.548962 - 3.96215i) q^{16} +(3.47739 - 6.02302i) q^{17} +(-4.18809 - 0.678142i) q^{18} +(-0.135957 + 0.0784950i) q^{19} +(-6.31179 - 5.49757i) q^{20} +(-2.20296 - 4.01833i) q^{21} +(-1.00643 - 2.21126i) q^{22} +5.22930 q^{23} +(2.69813 - 4.08902i) q^{24} -12.5155 q^{25} +(-6.31928 - 0.611589i) q^{26} +(-3.30485 - 4.00974i) q^{27} +(5.27511 - 0.416240i) q^{28} +(-1.17927 + 0.680852i) q^{29} +(-1.36243 - 10.1605i) q^{30} +(-1.57091 - 2.72089i) q^{31} +(3.02778 + 4.77834i) q^{32} +(0.861757 - 2.84802i) q^{33} +(-0.947471 + 9.78981i) q^{34} +(7.75176 - 7.90687i) q^{35} +(5.78805 - 1.58066i) q^{36} +(2.27910 - 1.31584i) q^{37} +(0.129014 - 0.180685i) q^{38} +(-5.31937 - 5.67145i) q^{39} +(11.3450 + 3.37861i) q^{40} +(1.52330 - 2.63843i) q^{41} +(5.18966 + 3.88168i) q^{42} +(6.37569 - 3.68100i) q^{43} +(2.59087 + 2.25665i) q^{44} +(6.96078 - 10.4493i) q^{45} +(-6.73098 + 3.06352i) q^{46} +(-1.42046 + 2.46031i) q^{47} +(-1.07743 + 6.84391i) q^{48} +(0.138671 + 6.99863i) q^{49} +(16.1095 - 7.33203i) q^{50} +(-8.78619 + 8.24074i) q^{51} +(8.49225 - 2.91485i) q^{52} +(-10.2516 - 5.91876i) q^{53} +(6.60294 + 3.22509i) q^{54} +7.18979 q^{55} +(-6.54609 + 3.62612i) q^{56} +(0.264768 - 0.0619311i) q^{57} +(1.11905 - 1.56723i) q^{58} +(-2.53622 + 1.46429i) q^{59} +(7.70609 + 12.2801i) q^{60} +(1.16856 + 0.674668i) q^{61} +(3.61602 + 2.58194i) q^{62} +(1.63641 + 7.76673i) q^{63} +(-6.69658 - 4.37673i) q^{64} +(9.39417 - 16.2712i) q^{65} +(0.559252 + 4.17072i) q^{66} +(0.943997 - 0.545017i) q^{67} +(-4.51568 - 13.1562i) q^{68} +(-8.66925 - 2.62315i) q^{69} +(-5.34566 + 14.7187i) q^{70} -7.87737 q^{71} +(-6.52417 + 5.42542i) q^{72} +(5.83848 - 10.1125i) q^{73} +(-2.16271 + 3.02888i) q^{74} +(20.7484 + 6.27808i) q^{75} +(-0.0602109 + 0.308153i) q^{76} +(-3.18196 + 3.24563i) q^{77} +(10.1695 + 4.18382i) q^{78} +(0.142624 - 0.247032i) q^{79} +(-16.5822 + 2.29749i) q^{80} +(3.46746 + 8.30522i) q^{81} +(-0.415047 + 4.28849i) q^{82} +(9.85987 - 5.69260i) q^{83} +(-8.95398 - 1.95607i) q^{84} +(-25.2072 - 14.5534i) q^{85} +(-6.05010 + 8.47317i) q^{86} +(2.29655 - 0.537180i) q^{87} +(-4.65692 - 1.38686i) q^{88} +(-3.25754 - 5.64222i) q^{89} +(-2.83812 + 17.5278i) q^{90} +(3.18763 + 11.4418i) q^{91} +(6.86916 - 7.88651i) q^{92} +(1.23942 + 5.29876i) q^{93} +(0.387028 - 3.99899i) q^{94} +(0.328513 + 0.569002i) q^{95} +(-2.62258 - 9.44045i) q^{96} +(-1.55195 - 2.68806i) q^{97} +(-4.27855 - 8.92715i) q^{98} +(-2.85728 + 4.28923i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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