LMFDB - Embedded newform 495.2.bc.d.122.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [495,2,Mod(23,495)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(495, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 9, 0]))

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

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

chi := DirichletCharacter("495.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 495 = 3^{2} \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	495.bc (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.95259490005$
Analytic rank:	$0$
Dimension:	$116$
Relative dimension:	$29$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			122.5
Character	$\chi$	$=$	495.122
Dual form			495.2.bc.d.353.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.21203 - 0.592711i) q^{2} +(1.61237 - 0.632659i) q^{3} +(2.80970 + 1.62218i) q^{4} +(2.13118 - 0.676804i) q^{5} +(-3.94159 + 0.443788i) q^{6} +(1.16130 - 4.33405i) q^{7} +(-2.01502 - 2.01502i) q^{8} +(2.19949 - 2.04016i) q^{9} +O(q^{10})$	\(q+(-2.21203 - 0.592711i) q^{2} +(1.61237 - 0.632659i) q^{3} +(2.80970 + 1.62218i) q^{4} +(2.13118 - 0.676804i) q^{5} +(-3.94159 + 0.443788i) q^{6} +(1.16130 - 4.33405i) q^{7} +(-2.01502 - 2.01502i) q^{8} +(2.19949 - 2.04016i) q^{9} +(-5.11538 + 0.233934i) q^{10} +(-0.866025 + 0.500000i) q^{11} +(5.55657 + 0.837978i) q^{12} +(-1.20358 - 4.49182i) q^{13} +(-5.13767 + 8.89871i) q^{14} +(3.00807 - 2.43957i) q^{15} +(0.0185874 + 0.0321943i) q^{16} +(-3.94935 + 3.94935i) q^{17} +(-6.07455 + 3.20923i) q^{18} +1.87136i q^{19} +(7.08589 + 1.55555i) q^{20} +(-0.869519 - 7.72281i) q^{21} +(2.21203 - 0.592711i) q^{22} +(1.31621 - 0.352676i) q^{23} +(-4.52378 - 1.97414i) q^{24} +(4.08387 - 2.88478i) q^{25} +10.6494i q^{26} +(2.25566 - 4.68102i) q^{27} +(10.2935 - 10.2935i) q^{28} +(2.77851 + 4.81253i) q^{29} +(-8.09989 + 3.61348i) q^{30} +(-5.23714 + 9.07100i) q^{31} +(1.45306 + 5.42290i) q^{32} +(-1.08003 + 1.35408i) q^{33} +(11.0769 - 6.39524i) q^{34} +(-0.458349 - 10.0226i) q^{35} +(9.48942 - 2.16428i) q^{36} +(4.51314 + 4.51314i) q^{37} +(1.10918 - 4.13950i) q^{38} +(-4.78241 - 6.48104i) q^{39} +(-5.65815 - 2.93060i) q^{40} +(-6.28479 - 3.62853i) q^{41} +(-2.65399 + 17.5984i) q^{42} +(6.90654 + 1.85060i) q^{43} -3.24437 q^{44} +(3.30671 - 5.83658i) q^{45} -3.12052 q^{46} +(-3.16237 - 0.847354i) q^{47} +(0.0503377 + 0.0401497i) q^{48} +(-11.3732 - 6.56630i) q^{49} +(-10.7435 + 3.96066i) q^{50} +(-3.86923 + 8.86641i) q^{51} +(3.90486 - 14.5731i) q^{52} +(-1.67908 - 1.67908i) q^{53} +(-7.76408 + 9.01759i) q^{54} +(-1.50726 + 1.65172i) q^{55} +(-11.0732 + 6.39314i) q^{56} +(1.18393 + 3.01733i) q^{57} +(-3.29371 - 12.2923i) q^{58} +(2.82670 - 4.89599i) q^{59} +(12.4092 - 1.97483i) q^{60} +(-1.51754 - 2.62846i) q^{61} +(16.9612 - 16.9612i) q^{62} +(-6.28789 - 11.9019i) q^{63} -12.9312i q^{64} +(-5.60513 - 8.75831i) q^{65} +(3.19162 - 2.35513i) q^{66} +(1.55630 - 0.417010i) q^{67} +(-17.5031 + 4.68993i) q^{68} +(1.89909 - 1.40135i) q^{69} +(-4.92663 + 22.4420i) q^{70} +13.3326i q^{71} +(-8.54297 - 0.321039i) q^{72} +(3.85216 - 3.85216i) q^{73} +(-7.30820 - 12.6582i) q^{74} +(4.75964 - 7.23504i) q^{75} +(-3.03569 + 5.25797i) q^{76} +(1.16130 + 4.33405i) q^{77} +(6.73744 + 17.1708i) q^{78} +(2.41179 - 1.39245i) q^{79} +(0.0614023 + 0.0560318i) q^{80} +(0.675474 - 8.97462i) q^{81} +(11.7515 + 11.7515i) q^{82} +(0.863980 - 3.22442i) q^{83} +(10.0847 - 23.1093i) q^{84} +(-5.74384 + 11.0897i) q^{85} +(-14.1806 - 8.18716i) q^{86} +(7.52468 + 6.00173i) q^{87} +(2.75257 + 0.737548i) q^{88} +6.05062 q^{89} +(-10.7739 + 10.9507i) q^{90} -20.8655 q^{91} +(4.27025 + 1.14421i) q^{92} +(-2.70537 + 17.9391i) q^{93} +(6.49300 + 3.74874i) q^{94} +(1.26655 + 3.98821i) q^{95} +(5.77373 + 7.82445i) q^{96} +(1.73821 - 6.48710i) q^{97} +(21.2658 + 21.2658i) q^{98} +(-0.884729 + 2.86658i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9} + 6 q^{10} - 8 q^{12} + 12 q^{13} - 10 q^{14} + 20 q^{15} + 62 q^{16} - 8 q^{17} - 54 q^{18} + 6 q^{20} - 10 q^{21} + 2 q^{22} - 14 q^{23} - 62 q^{24} - 12 q^{25} + 30 q^{27} + 18 q^{28} - 2 q^{29} - 18 q^{30} - 2 q^{31} - 48 q^{32} + 4 q^{33} - 24 q^{34} + 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} + 4 q^{39} + 98 q^{40} + 6 q^{41} - 44 q^{42} + 26 q^{43} - 120 q^{44} - 18 q^{45} - 44 q^{46} - 2 q^{47} - 20 q^{48} - 18 q^{49} - 20 q^{50} - 8 q^{51} + 102 q^{52} - 44 q^{53} + 28 q^{54} + 2 q^{55} + 42 q^{56} - 48 q^{57} - 16 q^{58} + 22 q^{59} - 8 q^{60} - 10 q^{61} - 16 q^{62} - 26 q^{63} - 108 q^{65} + 6 q^{66} - 36 q^{67} - 72 q^{68} - 76 q^{69} - 134 q^{70} + 30 q^{72} + 12 q^{73} - 8 q^{74} + 20 q^{75} - 6 q^{76} - 10 q^{77} + 210 q^{78} - 6 q^{79} + 4 q^{80} + 44 q^{81} - 50 q^{82} + 24 q^{83} + 222 q^{84} + 54 q^{85} + 90 q^{86} - 32 q^{87} - 4 q^{88} + 8 q^{89} - 74 q^{90} + 72 q^{91} + 18 q^{92} - 98 q^{93} + 42 q^{94} + 54 q^{95} + 68 q^{96} + 18 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9 + 6 * q^10 - 8 * q^12 + 12 * q^13 - 10 * q^14 + 20 * q^15 + 62 * q^16 - 8 * q^17 - 54 * q^18 + 6 * q^20 - 10 * q^21 + 2 * q^22 - 14 * q^23 - 62 * q^24 - 12 * q^25 + 30 * q^27 + 18 * q^28 - 2 * q^29 - 18 * q^30 - 2 * q^31 - 48 * q^32 + 4 * q^33 - 24 * q^34 + 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 + 4 * q^39 + 98 * q^40 + 6 * q^41 - 44 * q^42 + 26 * q^43 - 120 * q^44 - 18 * q^45 - 44 * q^46 - 2 * q^47 - 20 * q^48 - 18 * q^49 - 20 * q^50 - 8 * q^51 + 102 * q^52 - 44 * q^53 + 28 * q^54 + 2 * q^55 + 42 * q^56 - 48 * q^57 - 16 * q^58 + 22 * q^59 - 8 * q^60 - 10 * q^61 - 16 * q^62 - 26 * q^63 - 108 * q^65 + 6 * q^66 - 36 * q^67 - 72 * q^68 - 76 * q^69 - 134 * q^70 + 30 * q^72 + 12 * q^73 - 8 * q^74 + 20 * q^75 - 6 * q^76 - 10 * q^77 + 210 * q^78 - 6 * q^79 + 4 * q^80 + 44 * q^81 - 50 * q^82 + 24 * q^83 + 222 * q^84 + 54 * q^85 + 90 * q^86 - 32 * q^87 - 4 * q^88 + 8 * q^89 - 74 * q^90 + 72 * q^91 + 18 * q^92 - 98 * q^93 + 42 * q^94 + 54 * q^95 + 68 * q^96 + 18 * q^97 + 16 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/495\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$397$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−2.21203	−	0.592711i	−1.56414	−	0.419110i	−0.630168	−	0.776459i	$-0.717014\pi$
$2$	−2.21203	−	0.592711i	−1.56414	−	0.419110i	−0.933971	+	0.357349i	$0.883681\pi$
$3$	1.61237	−	0.632659i	0.930903	−	0.365266i
$3$	1.61237	−	0.632659i	0.930903	−	0.365266i
$4$	2.80970	+	1.62218i	1.40485	+	0.811091i
$5$	2.13118	−	0.676804i	0.953094	−	0.302676i
$5$	2.13118	−	0.676804i	0.953094	−	0.302676i
$6$	−3.94159	+	0.443788i	−1.60915	+	0.181176i
$7$	1.16130	−	4.33405i	0.438932	−	1.63812i	−0.292546	−	0.956251i	$-0.594503\pi$
$7$	1.16130	−	4.33405i	0.438932	−	1.63812i	0.731478	−	0.681865i	$-0.238831\pi$
$8$	−2.01502	−	2.01502i	−0.712417	−	0.712417i
$9$	2.19949	−	2.04016i	0.733162	−	0.680054i
$10$	−5.11538	+	0.233934i	−1.61762	+	0.0739764i
$11$	−0.866025	+	0.500000i	−0.261116	+	0.150756i
$11$	−0.866025	+	0.500000i	−0.261116	+	0.150756i
$12$	5.55657	+	0.837978i	1.60404	+	0.241903i
$13$	−1.20358	−	4.49182i	−0.333813	−	1.24581i	−0.905150	−	0.425092i	$-0.860242\pi$
$13$	−1.20358	−	4.49182i	−0.333813	−	1.24581i	0.571337	−	0.820716i	$-0.306425\pi$
$14$	−5.13767	+	8.89871i	−1.37310	+	2.37828i
$15$	3.00807	−	2.43957i	0.776681	−	0.629894i
$16$	0.0185874	+	0.0321943i	0.00464684	+	0.00804857i
$17$	−3.94935	+	3.94935i	−0.957857	+	0.957857i	−0.999147	−	0.0412898i	$-0.986853\pi$
$17$	−3.94935	+	3.94935i	−0.957857	+	0.957857i	0.0412898	+	0.999147i	$0.486853\pi$
$18$	−6.07455	+	3.20923i	−1.43178	+	0.756424i
$19$			1.87136i			0.429320i	0.976689	+	0.214660i	$0.0688643\pi$
$19$			1.87136i			0.429320i	−0.976689	+	0.214660i	$0.931136\pi$
$20$	7.08589	+	1.55555i	1.58445	+	0.347831i
$21$	−0.869519	−	7.72281i	−0.189745	−	1.68525i
$22$	2.21203	−	0.592711i	0.471606	−	0.126366i
$23$	1.31621	−	0.352676i	0.274448	−	0.0735381i	−0.118970	−	0.992898i	$-0.537959\pi$
$23$	1.31621	−	0.352676i	0.274448	−	0.0735381i	0.393418	+	0.919360i	$0.371293\pi$
$24$	−4.52378	−	1.97414i	−0.923413	−	0.402970i
$25$	4.08387	−	2.88478i	0.816775	−	0.576957i
$26$			10.6494i			2.08852i
$27$	2.25566	−	4.68102i	0.434102	−	0.900864i
$28$	10.2935	−	10.2935i	1.94530	−	1.94530i
$29$	2.77851	+	4.81253i	0.515957	+	0.893664i	0.999828	+	0.0185247i	$0.00589693\pi$
$29$	2.77851	+	4.81253i	0.515957	+	0.893664i	−0.483871	+	0.875139i	$0.660770\pi$
$30$	−8.09989	+	3.61348i	−1.47883	+	0.659728i
$31$	−5.23714	+	9.07100i	−0.940619	+	1.62920i	−0.176324	+	0.984332i	$0.556421\pi$
$31$	−5.23714	+	9.07100i	−0.940619	+	1.62920i	−0.764295	+	0.644867i	$0.776913\pi$
$32$	1.45306	+	5.42290i	0.256868	+	0.958643i
$33$	−1.08003	+	1.35408i	−0.188008	+	0.235716i
$34$	11.0769	−	6.39524i	1.89967	−	1.09677i
$35$	−0.458349	−	10.0226i	−0.0774752	−	1.69413i
$36$	9.48942	−	2.16428i	1.58157	−	0.360714i
$37$	4.51314	+	4.51314i	0.741956	+	0.741956i	0.972954	−	0.230998i	$-0.0741991\pi$
$37$	4.51314	+	4.51314i	0.741956	+	0.741956i	−0.230998	+	0.972954i	$0.574199\pi$
$38$	1.10918	−	4.13950i	0.179932	−	0.671516i
$39$	−4.78241	−	6.48104i	−0.765799	−	1.03780i
$40$	−5.65815	−	2.93060i	−0.894632	−	0.463369i
$41$	−6.28479	−	3.62853i	−0.981520	−	0.566681i	−0.0787912	−	0.996891i	$-0.525106\pi$
$41$	−6.28479	−	3.62853i	−0.981520	−	0.566681i	−0.902729	+	0.430210i	$0.858439\pi$
$42$	−2.65399	+	17.5984i	−0.409520	+	2.71550i
$43$	6.90654	+	1.85060i	1.05324	+	0.282214i	0.743589	−	0.668637i	$-0.233122\pi$
$43$	6.90654	+	1.85060i	1.05324	+	0.282214i	0.309649	+	0.950851i	$0.399789\pi$
$44$	−3.24437			−0.489106
$45$	3.30671	−	5.83658i	0.492936	−	0.870066i
$46$	−3.12052			−0.460095
$47$	−3.16237	−	0.847354i	−0.461279	−	0.123599i	0.0206934	−	0.999786i	$-0.493413\pi$
$47$	−3.16237	−	0.847354i	−0.461279	−	0.123599i	−0.481972	+	0.876187i	$0.660079\pi$
$48$	0.0503377	+	0.0401497i	0.00726563	+	0.00579510i
$49$	−11.3732	−	6.56630i	−1.62474	−	0.938043i
$50$	−10.7435	+	3.96066i	−1.51936	+	0.560123i
$51$	−3.86923	+	8.86641i	−0.541800	+	1.24155i
$52$	3.90486	−	14.5731i	0.541506	−	2.02093i
$53$	−1.67908	−	1.67908i	−0.230639	−	0.230639i	0.582320	−	0.812959i	$-0.302145\pi$
$53$	−1.67908	−	1.67908i	−0.230639	−	0.230639i	−0.812959	+	0.582320i	$0.802145\pi$
$54$	−7.76408	+	9.01759i	−1.05656	+	1.22714i
$55$	−1.50726	+	1.65172i	−0.203238	+	0.222718i
$56$	−11.0732	+	6.39314i	−1.47972	+	0.854319i
$57$	1.18393	+	3.01733i	0.156816	+	0.399655i
$58$	−3.29371	−	12.2923i	−0.432485	−	1.61406i
$59$	2.82670	−	4.89599i	0.368005	−	0.637404i	−0.621248	−	0.783614i	$-0.713374\pi$
$59$	2.82670	−	4.89599i	0.368005	−	0.637404i	0.989254	+	0.146210i	$0.0467074\pi$
$60$	12.4092	−	1.97483i	1.60202	−	0.254949i
$61$	−1.51754	−	2.62846i	−0.194301	−	0.336539i	0.752370	−	0.658741i	$-0.228911\pi$
$61$	−1.51754	−	2.62846i	−0.194301	−	0.336539i	−0.946671	+	0.322201i	$0.895577\pi$
$62$	16.9612	−	16.9612i	2.15407	−	2.15407i
$63$	−6.28789	−	11.9019i	−0.792199	−	1.49950i
$64$		−	12.9312i		−	1.61640i
$65$	−5.60513	−	8.75831i	−0.695231	−	1.08633i
$66$	3.19162	−	2.35513i	0.392862	−	0.289896i
$67$	1.55630	−	0.417010i	0.190133	−	0.0509459i	−0.162496	−	0.986709i	$-0.551955\pi$
$67$	1.55630	−	0.417010i	0.190133	−	0.0509459i	0.352629	+	0.935763i	$0.385288\pi$
$68$	−17.5031	+	4.68993i	−2.12256	+	0.568737i
$69$	1.89909	−	1.40135i	0.228623	−	0.168703i
$70$	−4.92663	+	22.4420i	−0.588845	+	2.68233i
$71$			13.3326i			1.58228i	0.611633	+	0.791142i	$0.290513\pi$
$71$			13.3326i			1.58228i	−0.611633	+	0.791142i	$0.709487\pi$
$72$	−8.54297	−	0.321039i	−1.00680	−	0.0378348i
$73$	3.85216	−	3.85216i	0.450862	−	0.450862i	−0.444779	−	0.895640i	$-0.646718\pi$
$73$	3.85216	−	3.85216i	0.450862	−	0.450862i	0.895640	+	0.444779i	$0.146718\pi$
$74$	−7.30820	−	12.6582i	−0.849561	−	1.47148i
$75$	4.75964	−	7.23504i	0.549596	−	0.835431i
$76$	−3.03569	+	5.25797i	−0.348218	+	0.603131i
$77$	1.16130	+	4.33405i	0.132343	+	0.493911i
$78$	6.73744	+	17.1708i	0.762865	+	1.94421i
$79$	2.41179	−	1.39245i	0.271348	−	0.156663i	−0.358152	−	0.933663i	$-0.616593\pi$
$79$	2.41179	−	1.39245i	0.271348	−	0.156663i	0.629500	+	0.777001i	$0.283260\pi$
$80$	0.0614023	+	0.0560318i	0.00686498	+	0.00626455i
$81$	0.675474	−	8.97462i	0.0750527	−	0.997180i
$82$	11.7515	+	11.7515i	1.29773	+	1.29773i
$83$	0.863980	−	3.22442i	0.0948341	−	0.353926i	−0.902160	−	0.431401i	$-0.858019\pi$
$83$	0.863980	−	3.22442i	0.0948341	−	0.353926i	0.996994	+	0.0774756i	$0.0246860\pi$
$84$	10.0847	−	23.1093i	1.10033	−	2.52143i
$85$	−5.74384	+	11.0897i	−0.623007	+	1.20285i
$86$	−14.1806	−	8.18716i	−1.52913	−	0.882844i
$87$	7.52468	+	6.00173i	0.806731	+	0.643453i
$88$	2.75257	+	0.737548i	0.293425	+	0.0786229i
$89$	6.05062			0.641365			0.320682	−	0.947187i	$-0.396088\pi$
$89$	6.05062			0.641365			0.320682	+	0.947187i	$0.396088\pi$
$90$	−10.7739	+	10.9507i	−1.13567	+	1.15431i
$91$	−20.8655			−2.18730
$92$	4.27025	+	1.14421i	0.445205	+	0.119292i
$93$	−2.70537	+	17.9391i	−0.280534	+	1.86020i
$94$	6.49300	+	3.74874i	0.669702	+	0.386653i
$95$	1.26655	+	3.98821i	0.129945	+	0.409182i
$96$	5.77373	+	7.82445i	0.589278	+	0.798579i
$97$	1.73821	−	6.48710i	0.176489	−	0.658665i	−0.819804	−	0.572644i	$-0.805918\pi$
$97$	1.73821	−	6.48710i	0.176489	−	0.658665i	0.996293	−	0.0860218i	$-0.0274155\pi$
$98$	21.2658	+	21.2658i	2.14817	+	2.14817i
$99$	−0.884729	+	2.86658i	−0.0889186	+	0.288102i
$100$	16.1541	−	1.48060i	1.61541	−	0.148060i
$101$	9.09685	−	5.25207i	0.905170	−	0.522600i	0.0262962	−	0.999654i	$-0.491629\pi$
$101$	9.09685	−	5.25207i	0.905170	−	0.522600i	0.878874	+	0.477054i	$0.158295\pi$
$102$	13.8140	−	17.3194i	1.36779	−	1.71487i
$103$	1.67047	+	6.23426i	0.164596	+	0.614280i	0.998091	+	0.0617539i	$0.0196694\pi$
$103$	1.67047	+	6.23426i	0.164596	+	0.614280i	−0.833496	+	0.552526i	$0.813664\pi$
$104$	−6.62588	+	11.4764i	−0.649721	+	1.12535i
$105$	−7.07993	−	15.8702i	−0.690930	−	1.54877i
$106$	2.71896	+	4.70937i	0.264089	+	0.457415i
$107$	−1.23271	+	1.23271i	−0.119171	+	0.119171i	−0.764177	−	0.645006i	$-0.776855\pi$
$107$	−1.23271	+	1.23271i	−0.119171	+	0.119171i	0.645006	+	0.764177i	$0.276855\pi$
$108$	13.9312	−	9.49319i	1.34053	−	0.913483i
$109$			7.94220i			0.760724i	0.924838	+	0.380362i	$0.124201\pi$
$109$			7.94220i			0.760724i	−0.924838	+	0.380362i	$0.875799\pi$
$110$	4.31308	−	2.76028i	0.411236	−	0.263183i
$111$	10.1321	+	4.42158i	0.961701	+	0.419678i
$112$	0.161117	−	0.0431712i	0.0152241	−	0.00407929i
$113$	15.4315	−	4.13487i	1.45168	−	0.388976i	0.555071	−	0.831803i	$-0.312691\pi$
$113$	15.4315	−	4.13487i	1.45168	−	0.388976i	0.896607	+	0.442827i	$0.146025\pi$
$114$	−0.830488	−	7.37615i	−0.0777823	−	0.690839i
$115$	2.56638	−	1.64243i	0.239316	−	0.153157i
$116$			18.0290i			1.67395i
$117$	−11.8113	−	7.42420i	−1.09196	−	0.686368i
$118$	−9.15465	+	9.15465i	−0.842754	+	0.842754i
$119$	12.5303	+	21.7031i	1.14865	+	1.98952i
$120$	−10.9771	−	1.14554i	−1.00207	−	0.104573i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	1.79892	+	6.71367i	0.162867	+	0.607828i
$123$	−12.4290	−	1.87440i	−1.12069	−	0.169009i
$124$	−29.4296	+	16.9912i	−2.64286	+	1.52586i
$125$	6.75104	−	8.91198i	0.603832	−	0.797112i
$126$	6.85458	+	30.0543i	0.610654	+	2.67745i
$127$	1.46377	+	1.46377i	0.129889	+	0.129889i	0.769062	−	0.639174i	$-0.220724\pi$
$127$	1.46377	+	1.46377i	0.129889	+	0.129889i	−0.639174	+	0.769062i	$0.720724\pi$
$128$	−4.75833	+	17.7583i	−0.420581	+	1.56963i
$129$	12.3067	−	1.38563i	1.08355	−	0.121998i
$130$	7.20756	+	22.6958i	0.632145	+	1.99056i
$131$	5.85402	+	3.37982i	0.511468	+	0.295296i	0.733437	−	0.679758i	$-0.237915\pi$
$131$	5.85402	+	3.37982i	0.511468	+	0.295296i	−0.221969	+	0.975054i	$0.571248\pi$
$132$	−5.23112	+	2.05258i	−0.455311	+	0.178654i
$133$	8.11057	+	2.17322i	0.703276	+	0.188442i
$134$	−3.68975			−0.318746
$135$	1.63909	−	11.5028i	0.141070	−	0.990000i
$136$	15.9160			1.36479
$137$	−17.4676	−	4.68044i	−1.49236	−	0.399877i	−0.581827	−	0.813313i	$-0.697662\pi$
$137$	−17.4676	−	4.68044i	−1.49236	−	0.399877i	−0.910533	+	0.413436i	$0.864329\pi$
$138$	−5.03143	+	1.97422i	−0.428304	+	0.168057i
$139$	15.5046	+	8.95160i	1.31508	+	0.759265i	0.982933	−	0.183961i	$-0.0588921\pi$
$139$	15.5046	+	8.95160i	1.31508	+	0.759265i	0.332151	+	0.943226i	$0.392225\pi$
$140$	14.9707	−	28.9041i	1.26525	−	2.44284i
$141$	−5.63500	+	0.634450i	−0.474552	+	0.0534303i
$142$	7.90235	−	29.4920i	0.663150	−	2.47491i
$143$	3.28824	+	3.28824i	0.274977	+	0.274977i
$144$	0.106564	+	0.0328896i	0.00888035	+	0.00274080i
$145$	9.17866	+	8.37586i	0.762246	+	0.695577i
$146$	−10.8043	+	6.23787i	−0.894171	+	0.516250i
$147$	−22.4920	−	3.39198i	−1.85511	−	0.279766i
$148$	5.35945	+	20.0017i	0.440544	+	1.64413i
$149$	0.326755	−	0.565956i	0.0267688	−	0.0463649i	−0.852331	−	0.523003i	$-0.824812\pi$
$149$	0.326755	−	0.565956i	0.0267688	−	0.0463649i	0.879099	+	0.476638i	$0.158145\pi$
$150$	−14.8167	+	13.1830i	−1.20978	+	1.07639i
$151$	6.19334	+	10.7272i	0.504007	+	0.872965i	0.999989	+	0.00463256i	$0.00147459\pi$
$151$	6.19334	+	10.7272i	0.504007	+	0.872965i	−0.495983	+	0.868332i	$0.665192\pi$
$152$	3.77083	−	3.77083i	0.305855	−	0.305855i
$153$	−0.629223	+	16.7438i	−0.0508696	+	1.35366i
$154$		−	10.2753i		−	0.828011i
$155$	−5.02202	+	22.8765i	−0.403378	+	1.83748i
$156$	−2.92373	−	25.9677i	−0.234086	−	2.07908i
$157$	−7.35448	+	1.97063i	−0.586951	+	0.157273i	−0.540060	−	0.841627i	$-0.681598\pi$
$157$	−7.35448	+	1.97063i	−0.586951	+	0.157273i	−0.0468919	+	0.998900i	$0.514932\pi$
$158$	−6.16026	+	1.65064i	−0.490084	+	0.131318i
$159$	−3.76958	−	1.64502i	−0.298947	−	0.130458i
$160$	6.76698	+	10.5738i	0.534977	+	0.835929i
$161$		−	6.11406i		−	0.481856i
$162$	−6.81352	+	19.4517i	−0.535320	+	1.52827i
$163$	2.03546	−	2.03546i	0.159430	−	0.159430i	−0.622884	−	0.782314i	$-0.714039\pi$
$163$	2.03546	−	2.03546i	0.159430	−	0.159430i	0.782314	+	0.622884i	$0.214039\pi$
$164$	−11.7723	−	20.3902i	−0.919260	−	1.59220i
$165$	−1.38528	+	3.61677i	−0.107844	+	0.281565i
$166$	−3.82229	+	6.62040i	−0.296667	+	0.513843i
$167$	0.343262	+	1.28107i	0.0265624	+	0.0991323i	0.977934	−	0.208912i	$-0.0669922\pi$
$167$	0.343262	+	1.28107i	0.0265624	+	0.0991323i	−0.951372	+	0.308044i	$0.900326\pi$
$168$	−13.8095	+	17.3137i	−1.06543	+	1.33578i
$169$	−7.46955	+	4.31255i	−0.574581	+	0.331734i
$170$	19.2785	−	21.1263i	1.47859	−	1.62031i
$171$	3.81788	+	4.11603i	0.291961	+	0.314761i
$172$	16.4033	+	16.4033i	1.25074	+	1.25074i
$173$	4.69340	−	17.5160i	0.356832	−	1.33172i	−0.521331	−	0.853355i	$-0.674564\pi$
$173$	4.69340	−	17.5160i	0.356832	−	1.33172i	0.878163	−	0.478362i	$-0.158769\pi$
$174$	−13.0875	−	17.7359i	−0.992161	−	1.34456i
$175$	−7.76017	−	21.0498i	−0.586614	−	1.59122i
$176$	−0.0321943	−	0.0185874i	−0.00242673	−	0.00140108i
$177$	1.46020	−	9.68250i	0.109756	−	0.727781i
$178$	−13.3841	−	3.58627i	−1.00318	−	0.268802i
$179$	−21.2874			−1.59109			−0.795547	−	0.605892i	$-0.792817\pi$
$179$	−21.2874			−1.59109			−0.795547	+	0.605892i	$0.792817\pi$
$180$	18.7589	−	11.0350i	1.39820	−	0.822497i
$181$	3.54662			0.263618			0.131809	−	0.991275i	$-0.457921\pi$
$181$	3.54662			0.263618			0.131809	+	0.991275i	$0.457921\pi$
$182$	46.1550	+	12.3672i	3.42124	+	0.916718i
$183$	−4.10975	−	3.27796i	−0.303802	−	0.242314i
$184$	−3.36283	−	1.94153i	−0.247911	−	0.143132i
$185$	12.6728	+	6.56382i	0.931726	+	0.482581i
$186$	16.6171	−	38.0784i	1.21842	−	2.79204i
$187$	1.44556	−	5.39491i	0.105710	−	0.394515i
$188$	−7.51075	−	7.51075i	−0.547778	−	0.547778i
$189$	−17.6683	−	15.2122i	−1.28518	−	1.10653i
$190$	−0.437775	−	9.57273i	−0.0317595	−	0.694478i
$191$	12.5227	−	7.23001i	0.906114	−	0.523145i	0.0269354	−	0.999637i	$-0.491425\pi$
$191$	12.5227	−	7.23001i	0.906114	−	0.523145i	0.879179	+	0.476492i	$0.158092\pi$
$192$	−8.18104	−	20.8499i	−0.590416	−	1.50471i
$193$	0.485924	+	1.81349i	0.0349776	+	0.130538i	0.981207	−	0.192958i	$-0.0618083\pi$
$193$	0.485924	+	1.81349i	0.0349776	+	0.130538i	−0.946229	+	0.323497i	$0.895142\pi$
$194$	−7.68995	+	13.3194i	−0.552106	+	0.956276i
$195$	−14.5786	−	10.5755i	−1.04399	−	0.757328i
$196$	−21.3035	−	36.8987i	−1.52168	−	2.63562i
$197$	−11.5285	+	11.5285i	−0.821375	+	0.821375i	−0.986305	−	0.164931i	$-0.947260\pi$
$197$	−11.5285	+	11.5285i	−0.821375	+	0.821375i	0.164931	+	0.986305i	$0.447260\pi$
$198$	3.65609	−	5.81655i	0.259827	−	0.413364i
$199$		−	1.01851i		−	0.0722003i	−0.999348	−	0.0361001i	$-0.988506\pi$
$199$		−	1.01851i		−	0.0722003i	0.999348	−	0.0361001i	$-0.0114935\pi$
$200$	−14.0420	−	2.41619i	−0.992918	−	0.170850i
$201$	2.24551	−	1.65698i	0.158386	−	0.116875i
$202$	−23.2354	+	6.22591i	−1.63484	+	0.438054i
$203$	24.0844	−	6.45340i	1.69039	−	0.452940i
$204$	−25.2543	+	18.6354i	−1.76815	+	1.30474i
$205$	−15.8498	−	3.47948i	−1.10700	−	0.243017i
$206$		−	14.7805i		−	1.02980i
$207$	2.17546	−	3.46098i	0.151205	−	0.240555i
$208$	0.122240	−	0.122240i	0.00847579	−	0.00847579i
$209$	−0.935681	−	1.62065i	−0.0647224	−	0.112102i
$210$	6.25454	+	39.3017i	0.431605	+	2.71207i
$211$	4.67282	−	8.09357i	0.321690	−	0.557184i	−0.659147	−	0.752015i	$-0.729082\pi$
$211$	4.67282	−	8.09357i	0.321690	−	0.557184i	0.980837	+	0.194830i	$0.0624156\pi$
$212$	−1.99394	−	7.44149i	−0.136944	−	0.511083i
$213$	8.43496	+	21.4970i	0.577954	+	1.47295i
$214$	3.45743	−	1.99615i	0.236345	−	0.136454i
$215$	15.9716	−	0.730405i	1.08925	−	0.0498132i
$216$	−13.9776	+	4.88715i	−0.951052	+	0.332529i
$217$	33.2322	+	33.2322i	2.25595	+	2.25595i
$218$	4.70742	−	17.5683i	0.318827	−	1.18988i
$219$	3.77402	−	8.64823i	0.255024	−	0.584393i
$220$	−6.91433	+	2.19580i	−0.466164	+	0.148041i
$221$	22.4931	+	12.9864i	1.51305	+	0.873561i
$222$	−19.7918	−	15.7861i	−1.32834	−	1.05949i
$223$	−27.6185	−	7.40035i	−1.84947	−	0.495564i	−0.849960	−	0.526847i	$-0.823374\pi$
$223$	−27.6185	−	7.40035i	−1.84947	−	0.495564i	−0.999511	+	0.0312825i	$0.990041\pi$
$224$	25.1906			1.68312
$225$	3.09699	−	14.6768i	0.206466	−	0.978454i
$226$	−36.5858			−2.43365
$227$	−16.7605	−	4.49096i	−1.11243	−	0.298075i	−0.344615	−	0.938744i	$-0.611991\pi$
$227$	−16.7605	−	4.49096i	−1.11243	−	0.298075i	−0.767818	+	0.640669i	$0.778657\pi$
$228$	−1.56816	+	10.3984i	−0.103854	+	0.688648i
$229$	−0.111729	−	0.0645068i	−0.00738326	−	0.00426273i	0.496304	−	0.868149i	$-0.334690\pi$
$229$	−0.111729	−	0.0645068i	−0.00738326	−	0.00426273i	−0.503687	+	0.863886i	$0.668024\pi$
$230$	−6.65039	+	2.11198i	−0.438514	+	0.139260i
$231$	4.61443	+	6.25339i	0.303607	+	0.411443i
$232$	4.09858	−	15.2961i	0.269085	−	1.00424i
$233$	5.46092	+	5.46092i	0.357757	+	0.357757i	0.862985	−	0.505229i	$-0.168592\pi$
$233$	5.46092	+	5.46092i	0.357757	+	0.357757i	−0.505229	+	0.862985i	$0.668592\pi$
$234$	21.7265	+	23.4232i	1.42031	+	1.53122i
$235$	−7.31307	+	0.334438i	−0.477052	+	0.0218163i
$236$	15.8844	−	9.17086i	1.03399	−	0.596972i
$237$	3.00776	−	3.77098i	0.195375	−	0.244952i
$238$	−14.8536	−	55.4345i	−0.962818	−	3.59329i
$239$	−10.1000	+	17.4937i	−0.653313	+	1.13157i	0.329001	+	0.944329i	$0.393288\pi$
$239$	−10.1000	+	17.4937i	−0.653313	+	1.13157i	−0.982314	+	0.187241i	$0.940045\pi$
$240$	0.134452	+	0.0514975i	0.00867886	+	0.00332415i
$241$	7.93722	+	13.7477i	0.511281	+	0.885565i	0.999915	+	0.0130761i	$0.00416236\pi$
$241$	7.93722	+	13.7477i	0.511281	+	0.885565i	−0.488633	+	0.872489i	$0.662504\pi$
$242$	−1.61932	+	1.61932i	−0.104094	+	0.104094i
$243$	−4.58875	−	14.8978i	−0.294369	−	0.955692i
$244$		−	9.84691i		−	0.630384i
$245$	−28.6824	−	6.29657i	−1.83245	−	0.402273i
$246$	26.3824	+	11.5131i	1.68208	+	0.734046i
$247$	8.40583	−	2.25234i	0.534850	−	0.143313i
$248$	28.8312	−	7.72529i	1.83078	−	0.490557i
$249$	−0.646899	−	5.74556i	−0.0409955	−	0.364110i
$250$	−20.2157	+	15.7121i	−1.27855	+	0.993722i
$251$		−	1.42864i		−	0.0901752i	−0.998983	−	0.0450876i	$-0.985643\pi$
$251$		−	1.42864i		−	0.0901752i	0.998983	−	0.0450876i	$-0.0143567\pi$
$252$	1.64000	−	43.6410i	0.103310	−	2.74912i
$253$	−0.963529	+	0.963529i	−0.0605766	+	0.0605766i
$254$	−2.37031	−	4.10549i	−0.148726	−	0.257601i
$255$	−2.24521	+	21.5146i	−0.140600	+	1.34730i
$256$	8.11992	−	14.0641i	0.507495	−	0.879007i
$257$	−2.18638	−	8.15967i	−0.136382	−	0.508986i	−0.999988	−	0.00481873i	$-0.998466\pi$
$257$	−2.18638	−	8.15967i	−0.136382	−	0.508986i	0.863606	−	0.504167i	$-0.168201\pi$
$258$	−28.0440	−	4.22928i	−1.74595	−	0.263303i
$259$	24.8013	−	14.3190i	1.54108	−	0.889742i
$260$	−1.54119	−	33.7008i	−0.0955804	−	2.09003i
$261$	15.9296	+	4.91646i	0.986020	+	0.304322i
$262$	−10.9460	−	10.9460i	−0.676245	−	0.676245i
$263$	−4.00095	+	14.9318i	−0.246709	+	0.920732i	0.725807	+	0.687898i	$0.241466\pi$
$263$	−4.00095	+	14.9318i	−0.246709	+	0.920732i	−0.972517	+	0.232834i	$0.925200\pi$
$264$	4.90478	−	0.552234i	0.301868	−	0.0339877i
$265$	−4.71483	−	2.44202i	−0.289630	−	0.150012i
$266$	−16.6527	−	9.61444i	−1.02104	−	0.589499i
$267$	9.75585	−	3.82798i	0.597049	−	0.234269i
$268$	5.04922	+	1.35293i	0.308430	+	0.0826435i
$269$	2.94112			0.179323			0.0896615	−	0.995972i	$-0.471421\pi$
$269$	2.94112			0.179323			0.0896615	+	0.995972i	$0.471421\pi$
$270$	−10.4435	+	24.4729i	−0.635572	+	1.48937i
$271$	−4.02110			−0.244265			−0.122132	−	0.992514i	$-0.538973\pi$
$271$	−4.02110			−0.244265			−0.122132	+	0.992514i	$0.538973\pi$
$272$	−0.200554	−	0.0537384i	−0.0121604	−	0.00325837i
$273$	−33.6430	+	13.2007i	−2.03616	+	0.798945i
$274$	35.8647	+	20.7065i	2.16667	+	1.25093i
$275$	−2.09435	+	4.54023i	−0.126294	+	0.273786i
$276$	7.60913	−	0.856720i	0.458016	−	0.0515685i
$277$	−7.49247	+	27.9623i	−0.450179	+	1.68009i	0.251709	+	0.967803i	$0.419008\pi$
$277$	−7.49247	+	27.9623i	−0.450179	+	1.68009i	−0.701888	+	0.712288i	$0.747659\pi$
$278$	−28.9909	−	28.9909i	−1.73876	−	1.73876i
$279$	6.98729	+	30.6362i	0.418318	+	1.83414i
$280$	−19.2722	+	21.1194i	−1.15173	+	1.26212i
$281$	−10.9600	+	6.32776i	−0.653819	+	0.377483i	−0.789918	−	0.613213i	$-0.789877\pi$
$281$	−10.9600	+	6.32776i	−0.653819	+	0.377483i	0.136099	+	0.990695i	$0.456544\pi$
$282$	12.8408	+	1.93650i	0.764659	+	0.115317i
$283$	2.52185	+	9.41166i	0.149908	+	0.559465i	0.999488	+	0.0320045i	$0.0101891\pi$
$283$	2.52185	+	9.41166i	0.149908	+	0.559465i	−0.849580	+	0.527461i	$0.823144\pi$
$284$	−21.6278	+	37.4605i	−1.28338	+	2.22287i
$285$	4.56532	+	5.62919i	0.270426	+	0.333444i
$286$	−5.32470	−	9.22266i	−0.314856	−	0.545347i
$287$	−23.0248	+	23.0248i	−1.35911	+	1.35911i
$288$	14.2596	+	8.96312i	0.840255	+	0.528157i
$289$		−	14.1947i		−	0.834981i
$290$	−15.3390	−	23.9679i	−0.900735	−	1.40744i
$291$	−1.30148	−	11.5593i	−0.0762938	−	0.677619i
$292$	17.0724	−	4.57452i	0.999084	−	0.267704i
$293$	−3.08757	+	0.827313i	−0.180378	+	0.0483321i	−0.347877	−	0.937540i	$-0.613097\pi$
$293$	−3.08757	+	0.827313i	−0.180378	+	0.0483321i	0.167499	+	0.985872i	$0.446431\pi$
$294$	47.7424	+	20.8344i	2.78439	+	1.21509i
$295$	2.71059	−	12.3474i	0.157817	−	0.718892i
$296$		−	18.1881i		−	1.05716i
$297$	0.387052	+	5.18172i	0.0224590	+	0.300674i
$298$	−1.05824	+	1.05824i	−0.0613021	+	0.0613021i
$299$	−3.16832	−	5.48769i	−0.183229	−	0.317361i
$300$	25.1097	−	12.6073i	1.44971	−	0.727884i
$301$	16.0412	−	27.7842i	0.924599	−	1.60145i
$302$	−7.34171	−	27.3996i	−0.422468	−	1.57667i
$303$	11.3447	−	14.2235i	0.651738	−	0.817118i
$304$	−0.0602471	+	0.0347837i	−0.00345541	+	0.00199498i
$305$	−5.01310	−	4.57464i	−0.287049	−	0.261943i
$306$	11.3161	−	36.6649i	0.646899	−	2.09599i
$307$	−4.99039	−	4.99039i	−0.284817	−	0.284817i	0.550210	−	0.835026i	$-0.314548\pi$
$307$	−4.99039	−	4.99039i	−0.284817	−	0.284817i	−0.835026	+	0.550210i	$0.814548\pi$
$308$	−3.76770	+	14.0612i	−0.214684	+	0.801213i
$309$	6.63757	+	8.99511i	0.377598	+	0.511714i
$310$	24.6680	−	47.6267i	1.40105	−	2.70502i
$311$	−4.18953	−	2.41883i	−0.237567	−	0.137159i	0.376491	−	0.926420i	$-0.377131\pi$
$311$	−4.18953	−	2.41883i	−0.237567	−	0.137159i	−0.614058	+	0.789261i	$0.710464\pi$
$312$	−3.42276	+	22.6961i	−0.193776	+	1.28491i
$313$	−15.7963	−	4.23262i	−0.892862	−	0.239242i	−0.216914	−	0.976191i	$-0.569599\pi$
$313$	−15.7963	−	4.23262i	−0.892862	−	0.239242i	−0.675948	+	0.736949i	$0.736266\pi$
$314$	17.4363			0.983988
$315$	−21.4559	−	21.1095i	−1.20890	−	1.18939i
$316$	9.03522			0.508271
$317$	−6.47378	−	1.73464i	−0.363604	−	0.0974273i	0.0723915	−	0.997376i	$-0.476937\pi$
$317$	−6.47378	−	1.73464i	−0.363604	−	0.0974273i	−0.435995	+	0.899949i	$0.643604\pi$
$318$	7.36340	+	5.87309i	0.412919	+	0.329347i
$319$	−4.81253	−	2.77851i	−0.269450	−	0.155567i
$320$	−8.75189	−	27.5587i	−0.489245	−	1.54058i
$321$	−1.20770	+	2.76748i	−0.0674075	+	0.154465i
$322$	−3.62387	+	13.5245i	−0.201950	+	0.753689i
$323$	−7.39066	−	7.39066i	−0.411227	−	0.411227i
$324$	16.4563	−	24.1203i	0.914242	−	1.34001i
$325$	−17.8732	−	14.8720i	−0.991428	−	0.824948i
$326$	−5.70894	+	3.29606i	−0.316189	+	0.182552i
$327$	5.02470	+	12.8058i	0.277867	+	0.708161i
$328$	5.35243	+	19.9755i	0.295538	+	1.10296i
$329$	−7.34494	+	12.7218i	−0.404940	+	0.701376i
$330$	5.20797	−	7.17931i	0.286690	−	0.395208i
$331$	10.5200	+	18.2213i	0.578234	+	1.00153i	0.995682	+	0.0928299i	$0.0295913\pi$
$331$	10.5200	+	18.2213i	0.578234	+	1.00153i	−0.417448	+	0.908701i	$0.637075\pi$
$332$	7.65812	−	7.65812i	0.420294	−	0.420294i
$333$	19.1341	+	0.719048i	1.04854	+	0.0394036i
$334$		−	3.03722i		−	0.166189i
$335$	3.03453	−	1.94204i	0.165794	−	0.106105i
$336$	0.232468	−	0.171540i	0.0126822	−	0.00935828i
$337$	−2.70637	+	0.725169i	−0.147425	+	0.0395024i	−0.331777	−	0.943358i	$-0.607648\pi$
$337$	−2.70637	+	0.725169i	−0.147425	+	0.0395024i	0.184352	+	0.982860i	$0.440981\pi$
$338$	19.0789	−	5.11219i	1.03776	−	0.278066i
$339$	22.2654	−	16.4298i	1.20929	−	0.892347i
$340$	−34.1280	+	21.8412i	−1.85085	+	1.18451i
$341$		−	10.4743i		−	0.567214i
$342$	−6.00564	−	11.3677i	−0.324748	−	0.614693i
$343$	−19.4572	+	19.4572i	−1.05059	+	1.05059i
$344$	−10.1878	−	17.6458i	−0.549290	−	0.951399i
$345$	3.09886	−	4.27185i	0.166837	−	0.229989i
$346$	−20.7638	+	35.9640i	−1.11627	+	1.93344i
$347$	3.86471	+	14.4233i	0.207469	+	0.774284i	0.988683	+	0.150021i	$0.0479340\pi$
$347$	3.86471	+	14.4233i	0.207469	+	0.774284i	−0.781214	+	0.624263i	$0.785399\pi$
$348$	11.4062	+	29.0695i	0.611438	+	1.55829i
$349$	13.9050	−	8.02805i	0.744317	−	0.429732i	−0.0793199	−	0.996849i	$-0.525275\pi$
$349$	13.9050	−	8.02805i	0.744317	−	0.429732i	0.823637	+	0.567118i	$0.191942\pi$
$350$	4.68926	+	51.1623i	0.250652	+	2.73474i
$351$	−23.7412	−	4.49805i	−1.26721	−	0.240088i
$352$	−3.96984	−	3.96984i	−0.211593	−	0.211593i
$353$	3.55639	−	13.2726i	0.189288	−	0.706432i	−0.804384	−	0.594110i	$-0.797505\pi$
$353$	3.55639	−	13.2726i	0.189288	−	0.706432i	0.993672	−	0.112322i	$-0.0358288\pi$
$354$	−8.96893	+	20.5525i	−0.476693	+	1.09235i
$355$	9.02353	+	28.4141i	0.478919	+	1.50806i
$356$	17.0005	+	9.81522i	0.901022	+	0.520205i
$357$	33.9341	+	27.0660i	1.79598	+	1.43249i
$358$	47.0883	+	12.6173i	2.48869	+	0.666843i
$359$	−22.2197			−1.17271			−0.586356	−	0.810053i	$-0.699438\pi$
$359$	−22.2197			−1.17271			−0.586356	+	0.810053i	$0.699438\pi$
$360$	−18.4239	+	5.09773i	−0.971025	+	0.268674i
$361$	15.4980			0.815684
$362$	−7.84522	−	2.10212i	−0.412336	−	0.110485i
$363$	0.258287	−	1.71268i	0.0135566	−	0.0898926i
$364$	−58.6259	−	33.8477i	−3.07283	−	1.77410i
$365$	5.60250	−	10.8168i	0.293248	−	0.566178i
$366$	7.14800	+	9.68683i	0.373632	+	0.506339i
$367$	−6.99453	+	26.1039i	−0.365112	+	1.36261i	0.502158	+	0.864776i	$0.332540\pi$
$367$	−6.99453	+	26.1039i	−0.365112	+	1.36261i	−0.867269	+	0.497839i	$0.834127\pi$
$368$	0.0358189	+	0.0358189i	0.00186719	+	0.00186719i
$369$	−21.2261	+	4.84111i	−1.10499	+	0.252018i
$370$	−24.1422	−	22.0307i	−1.25509	−	1.14532i
$371$	−9.22713	+	5.32729i	−0.479049	+	0.276579i
$372$	−36.7019	+	46.0151i	−1.90290	+	2.38577i
$373$	−2.85193	−	10.6435i	−0.147667	−	0.551102i	−0.999622	−	0.0274867i	$-0.991250\pi$
$373$	−2.85193	−	10.6435i	−0.147667	−	0.551102i	0.851955	−	0.523615i	$-0.175417\pi$
$374$	−6.39524	+	11.0769i	−0.330690	+	0.572772i
$375$	5.24695	−	18.6405i	0.270951	−	0.962593i
$376$	4.66480	+	8.07967i	0.240569	+	0.416677i
$377$	18.2729	−	18.2729i	0.941100	−	0.941100i
$378$	30.0662	+	44.1220i	1.54644	+	2.26939i
$379$			34.3657i			1.76525i	0.470079	+	0.882624i	$0.344225\pi$
$379$			34.3657i			1.76525i	−0.470079	+	0.882624i	$0.655775\pi$
$380$	−2.91099	+	13.2603i	−0.149331	+	0.680237i
$381$	3.28621	+	1.43407i	0.168358	+	0.0734699i
$382$	−31.9860	+	8.57061i	−1.63654	+	0.438511i
$383$	−4.20277	+	1.12613i	−0.214751	+	0.0575425i	−0.364591	−	0.931168i	$-0.618791\pi$
$383$	−4.20277	+	1.12613i	−0.214751	+	0.0575425i	0.149839	+	0.988710i	$0.452124\pi$
$384$	3.56277	+	31.6435i	0.181812	+	1.61480i
$385$	5.40825	+	8.45067i	0.275630	+	0.430686i
$386$		−	4.29950i		−	0.218839i
$387$	18.9664	−	10.0201i	0.964115	−	0.509350i
$388$	15.4071	−	15.4071i	0.782178	−	0.782178i
$389$	−8.49832	−	14.7195i	−0.430882	−	0.746310i	0.566067	−	0.824359i	$-0.308464\pi$
$389$	−8.49832	−	14.7195i	−0.430882	−	0.746310i	−0.996950	+	0.0780492i	$0.975131\pi$
$390$	25.9800	+	32.0342i	1.31555	+	1.62211i
$391$	−3.80531	+	6.59099i	−0.192443	+	0.333321i
$392$	9.68593	+	36.1484i	0.489213	+	1.82577i
$393$	11.5771	+	1.74593i	0.583988	+	0.0880704i
$394$	32.3345	−	18.6683i	1.62899	−	0.940498i
$395$	4.19755	−	4.59987i	0.211202	−	0.231444i
$396$	−7.13593	+	6.61903i	−0.358594	+	0.332619i
$397$	−9.28263	−	9.28263i	−0.465882	−	0.465882i	0.434696	−	0.900577i	$-0.356856\pi$
$397$	−9.28263	−	9.28263i	−0.465882	−	0.465882i	−0.900577	+	0.434696i	$0.856856\pi$
$398$	−0.603682	+	2.25297i	−0.0302598	+	0.112931i
$399$	14.4522	−	1.62718i	0.723513	−	0.0814611i
$400$	0.168782	+	0.0778567i	0.00843910	+	0.00389284i
$401$	3.63412	+	2.09816i	0.181479	+	0.104777i	0.587987	−	0.808870i	$-0.299920\pi$
$401$	3.63412	+	2.09816i	0.181479	+	0.104777i	−0.406508	+	0.913647i	$0.633254\pi$
$402$	−5.94925	+	2.33435i	−0.296721	+	0.116427i
$403$	47.0487	+	12.6066i	2.34366	+	0.627982i
$404$	34.0793			1.69551
$405$	−4.63450	−	19.5837i	−0.230290	−	0.973122i
$406$	−57.1004			−2.83384
$407$	−6.16507	−	1.65192i	−0.305591	−	0.0818829i
$408$	25.6625	−	10.0694i	1.27049	−	0.498510i
$409$	18.3060	+	10.5689i	0.905171	+	0.522601i	0.878874	−	0.477053i	$-0.158295\pi$
$409$	18.3060	+	10.5689i	0.905171	+	0.522601i	0.0262968	+	0.999654i	$0.491628\pi$
$410$	32.9979	+	17.0911i	1.62965	+	0.844068i
$411$	−31.1254	+	3.50444i	−1.53530	+	0.172862i
$412$	−5.41960	+	20.2262i	−0.267005	+	0.996474i
$413$	−17.9368	−	17.9368i	−0.882613	−	0.882613i
$414$	−6.86353	+	6.36636i	−0.337324	+	0.312890i
$415$	−0.341000	−	7.45656i	−0.0167390	−	0.366028i
$416$	22.6099	−	13.0538i	1.10854	−	0.640016i
$417$	30.6625	+	4.62417i	1.50155	+	0.226446i
$418$	1.10918	+	4.13950i	0.0542516	+	0.202470i
$419$	−8.46784	+	14.6667i	−0.413681	+	0.716516i	−0.995289	−	0.0969527i	$-0.969090\pi$
$419$	−8.46784	+	14.6667i	−0.413681	+	0.716516i	0.581608	+	0.813469i	$0.302424\pi$
$420$	5.85189	−	56.0755i	0.285543	−	2.73620i
$421$	5.94975	+	10.3053i	0.289973	+	0.502248i	0.973803	−	0.227393i	$-0.0730203\pi$
$421$	5.94975	+	10.3053i	0.289973	+	0.502248i	−0.683830	+	0.729641i	$0.739687\pi$
$422$	−15.1336	+	15.1336i	−0.736690	+	0.736690i
$423$	−8.68432	+	4.58800i	−0.422246	+	0.223076i
$424$			6.76676i			0.328623i
$425$	−4.73561	+	27.5216i	−0.229711	+	1.33500i
$426$	−5.91683	−	52.5515i	−0.286671	−	2.54613i
$427$	−13.1542	+	3.52465i	−0.636575	+	0.170570i
$428$	−5.46324	+	1.46387i	−0.264076	+	0.0707588i
$429$	7.38221	+	3.22154i	0.356416	+	0.155537i
$430$	−35.7625	−	7.85086i	−1.72462	−	0.378602i
$431$			14.6169i			0.704071i	0.935987	+	0.352036i	$0.114510\pi$
$431$			14.6169i			0.704071i	−0.935987	+	0.352036i	$0.885490\pi$
$432$	0.192629	−	0.0143885i	0.00926786	−	0.000692269i
$433$	10.4148	−	10.4148i	0.500503	−	0.500503i	−0.411091	−	0.911594i	$-0.634852\pi$
$433$	10.4148	−	10.4148i	0.500503	−	0.500503i	0.911594	+	0.411091i	$0.134852\pi$
$434$	−53.8134	−	93.2076i	−2.58313	−	4.47411i
$435$	20.0985	+	7.69805i	0.963648	+	0.369093i
$436$	−12.8837	+	22.3152i	−0.617017	+	1.06870i
$437$	0.659985	+	2.46310i	0.0315714	+	0.117826i
$438$	−13.4741	+	16.8932i	−0.643818	+	0.807189i
$439$	11.0732	−	6.39311i	0.528495	−	0.305127i	−0.211908	−	0.977290i	$-0.567968\pi$
$439$	11.0732	−	6.39311i	0.528495	−	0.305127i	0.740403	+	0.672163i	$0.234635\pi$
$440$	6.36540	−	0.291099i	0.303458	−	0.0138776i
$441$	−38.4114	+	8.76062i	−1.82912	+	0.417172i
$442$	−42.0582	−	42.0582i	−2.00051	−	2.00051i
$443$	1.83260	−	6.83937i	0.0870696	−	0.324948i	−0.908628	−	0.417606i	$-0.862869\pi$
$443$	1.83260	−	6.83937i	0.0870696	−	0.324948i	0.995698	+	0.0926572i	$0.0295361\pi$
$444$	21.2957	+	28.8595i	1.01065	+	1.36961i
$445$	12.8950	−	4.09509i	0.611281	−	0.194126i
$446$	56.7066	+	32.7395i	2.68513	+	1.55026i
$447$	0.168793	−	1.11926i	0.00798364	−	0.0529389i
$448$	−56.0444	−	15.0171i	−2.64785	−	0.709490i
$449$	17.2316			0.813208			0.406604	−	0.913605i	$-0.366713\pi$
$449$	17.2316			0.813208			0.406604	+	0.913605i	$0.366713\pi$
$450$	−15.5497	+	30.6299i	−0.733021	+	1.44391i
$451$	7.25705			0.341721
$452$	50.0656	+	13.4150i	2.35489	+	0.630990i
$453$	16.7726	+	13.3779i	0.788046	+	0.628550i
$454$	34.4128	+	19.8682i	1.61507	+	0.932463i
$455$	−44.4682	+	14.1219i	−2.08470	+	0.662043i
$456$	3.69433	−	8.46563i	0.173003	−	0.396439i
$457$	9.54767	−	35.6324i	0.446621	−	1.66681i	−0.264998	−	0.964249i	$-0.585371\pi$
$457$	9.54767	−	35.6324i	0.446621	−	1.66681i	0.711620	−	0.702565i	$-0.247962\pi$
$458$	0.208914	+	0.208914i	0.00976190	+	0.00976190i
$459$	9.57860	+	27.3954i	0.447091	+	1.27871i
$460$	9.87509	−	0.451603i	0.460428	−	0.0210561i
$461$	23.7135	−	13.6910i	1.10445	−	0.637653i	0.167062	−	0.985946i	$-0.446572\pi$
$461$	23.7135	−	13.6910i	1.10445	−	0.637653i	0.937386	+	0.348293i	$0.113239\pi$
$462$	−6.50079	−	16.5677i	−0.302444	−	0.770798i
$463$	−9.55431	−	35.6572i	−0.444026	−	1.65713i	−0.718494	−	0.695533i	$-0.755168\pi$
$463$	−9.55431	−	35.6572i	−0.444026	−	1.65713i	0.274468	−	0.961596i	$-0.411498\pi$
$464$	−0.103291	+	0.178904i	−0.00479514	+	0.00830543i
$465$	6.37564	+	40.0626i	0.295663	+	1.85786i
$466$	−8.84295	−	15.3164i	−0.409642	−	0.709520i
$467$	−5.50844	+	5.50844i	−0.254900	+	0.254900i	−0.822976	−	0.568076i	$-0.807688\pi$
$467$	−5.50844	+	5.50844i	−0.254900	+	0.254900i	0.568076	+	0.822976i	$0.307688\pi$
$468$	−21.1429	−	40.0199i	−0.977329	−	1.84992i
$469$		−	7.22937i		−	0.333821i
$470$	16.3749	+	3.59475i	0.755319	+	0.165813i
$471$	−10.6114	+	7.83026i	−0.488949	+	0.360799i
$472$	−15.5614	+	4.16966i	−0.716271	+	0.191924i
$473$	−6.90654	+	1.85060i	−0.317563	+	0.0850908i
$474$	−8.88834	+	6.55878i	−0.408255	+	0.301255i
$475$	5.39848	+	7.64240i	0.247699	+	0.350658i
$476$			81.3055i			3.72663i
$477$	−7.11870	−	0.267516i	−0.325943	−	0.0122487i
$478$	32.7101	−	32.7101i	1.49612	−	1.49612i
$479$	−11.8038	−	20.4448i	−0.539331	−	0.934149i	−0.998940	−	0.0460275i	$-0.985344\pi$
$479$	−11.8038	−	20.4448i	−0.539331	−	0.934149i	0.459609	−	0.888121i	$-0.347990\pi$
$480$	17.6005	+	12.7676i	0.803348	+	0.582760i
$481$	14.8403	−	25.7042i	0.676660	−	1.17201i
$482$	−9.40895	−	35.1147i	−0.428566	−	1.59943i
$483$	−3.86812	−	9.85814i	−0.176005	−	0.448561i
$484$	2.80970	−	1.62218i	0.127714	−	0.0737356i
$485$	−0.686047	−	15.0016i	−0.0311518	−	0.681189i
$486$	1.32038	+	35.6740i	0.0598938	+	1.61821i
$487$	12.8983	+	12.8983i	0.584477	+	0.584477i	0.936130	−	0.351654i	$-0.114380\pi$
$487$	12.8983	+	12.8983i	0.584477	+	0.584477i	−0.351654	+	0.936130i	$0.614380\pi$
$488$	−2.23852	+	8.35426i	−0.101333	+	0.378180i
$489$	1.99417	−	4.56968i	0.0901795	−	0.206648i
$490$	59.7141	+	30.9285i	2.69761	+	1.39721i
$491$	−31.3980	−	18.1277i	−1.41697	−	0.818089i	−0.420941	−	0.907088i	$-0.638300\pi$
$491$	−31.3980	−	18.1277i	−1.41697	−	0.818089i	−0.996032	+	0.0889987i	$0.971633\pi$
$492$	−31.8813	−	25.4287i	−1.43732	−	1.14641i
$493$	−29.9797	−	8.03302i	−1.35022	−	0.361789i
$494$	−19.9289			−0.896643
$495$	0.0545907	+	6.70798i	0.00245367	+	0.301501i
$496$	−0.389379			−0.0174836
$497$	57.7839	+	15.4832i	2.59196	+	0.694515i
$498$	−1.97450	+	13.0928i	−0.0884794	+	0.586700i
$499$	−1.81227	−	1.04632i	−0.0811284	−	0.0468395i	0.458887	−	0.888495i	$-0.348248\pi$
$499$	−1.81227	−	1.04632i	−0.0811284	−	0.0468395i	−0.540015	+	0.841655i	$0.681582\pi$
$500$	33.4253	−	14.0886i	1.49482	−	0.630061i
$501$	1.36395	+	1.84840i	0.0609366	+	0.0825802i
$502$	−0.846773	+	3.16020i	−0.0377933	+	0.141047i
$503$	9.96633	+	9.96633i	0.444376	+	0.444376i	0.893480	−	0.449103i	$-0.148257\pi$
$503$	9.96633	+	9.96633i	0.444376	+	0.444376i	−0.449103	+	0.893480i	$0.648257\pi$
$504$	−11.3124	+	36.6528i	−0.503894	+	1.63265i
$505$	15.8324	−	17.3499i	0.704533	−	0.772060i
$506$	2.70245	−	1.56026i	0.120138	−	0.0693619i
$507$	−9.31532	+	11.6791i	−0.413708	+	0.518687i
$508$	1.73826	+	6.48726i	0.0771227	+	0.287826i
$509$	13.3404	−	23.1062i	0.591301	−	1.02416i	−0.402756	−	0.915307i	$-0.631948\pi$
$509$	13.3404	−	23.1062i	0.591301	−	1.02416i	0.994057	−	0.108856i	$-0.0347189\pi$
$510$	17.7184	−	46.2602i	0.784584	−	2.04843i
$511$	−12.2219	−	21.1690i	−0.540666	−	0.936461i
$512$	−0.297393	+	0.297393i	−0.0131431	+	0.0131431i
$513$	8.75989	+	4.22116i	0.386759	+	0.186369i
$514$			19.3453i			0.853284i
$515$	7.77944	+	12.1558i	0.342803	+	0.535647i
$516$	36.8259	+	16.0705i	1.62117	+	0.707466i
$517$	3.16237	−	0.847354i	0.139081	−	0.0372666i
$518$	−63.3482	+	16.9741i	−2.78336	+	0.745799i
$519$	−3.51415	−	31.2116i	−0.154254	−	1.37004i
$520$	−6.35371	+	28.9426i	−0.278628	+	1.26922i
$521$			36.8490i			1.61438i	0.590289	+	0.807192i	$0.299014\pi$
$521$			36.8490i			1.61438i	−0.590289	+	0.807192i	$0.700986\pi$
$522$	−32.3227	−	20.3170i	−1.41473	−	0.889251i
$523$	−18.1031	+	18.1031i	−0.791593	+	0.791593i	−0.981753	−	0.190160i	$-0.939099\pi$
$523$	−18.1031	+	18.1031i	−0.791593	+	0.791593i	0.190160	+	0.981753i	$0.439099\pi$
$524$	10.9654	+	18.9926i	0.479024	+	0.829694i
$525$	−25.8296	−	29.0306i	−1.12730	−	1.26700i
$526$	17.7004	−	30.6580i	0.771775	−	1.33675i
$527$	−15.1412	−	56.5078i	−0.659562	−	2.46152i
$528$	−0.0636686	−	0.00960176i	−0.00277082	−	0.000417863i
$529$	−18.3106	+	10.5716i	−0.796112	+	0.459635i
$530$	8.98192	+	8.19633i	0.390150	+	0.356026i
$531$	−3.77133	−	16.5356i	−0.163662	−	0.717584i
$532$	19.2629	+	19.2629i	0.835154	+	0.835154i
$533$	−8.73445	+	32.5974i	−0.378331	+	1.41195i
$534$	−23.8491	+	2.68519i	−1.03205	+	0.116200i
$535$	−1.79283	+	3.46144i	−0.0775108	+	0.149651i
$536$	−3.97626	−	2.29570i	−0.171748	−	0.0991590i
$537$	−34.3232	+	13.4677i	−1.48116	+	0.581172i
$538$	−6.50582	−	1.74323i	−0.280486	−	0.0751560i
$539$	13.1326			0.565661
$540$	23.2649	−	29.6604i	1.00116	−	1.27638i
$541$	−40.3344			−1.73411			−0.867057	−	0.498210i	$-0.833991\pi$
$541$	−40.3344			−1.73411			−0.867057	+	0.498210i	$0.833991\pi$
$542$	8.89478	+	2.38335i	0.382064	+	0.102374i
$543$	5.71848	−	2.24380i	0.245403	−	0.0962908i
$544$	−27.1556	−	15.6783i	−1.16429	−	0.672201i
$545$	5.37531	+	16.9263i	0.230253	+	0.725041i
$546$	82.2433	−	9.25986i	3.51969	−	0.396285i
$547$	−3.05383	+	11.3971i	−0.130572	+	0.487303i	−0.999977	−	0.00679806i	$-0.997836\pi$
$547$	−3.05383	+	11.3971i	−0.130572	+	0.487303i	0.869404	+	0.494101i	$0.164503\pi$
$548$	−41.4863	−	41.4863i	−1.77221	−	1.77221i
$549$	−8.70028	−	2.68522i	−0.371319	−	0.114603i
$550$	7.32379	−	8.80177i	0.312287	−	0.375309i
$551$	−9.00598	+	5.19960i	−0.383668	+	0.221511i
$552$	−6.65046	−	1.00295i	−0.283062	−	0.0426882i
$553$	−3.23411	−	12.0699i	−0.137528	−	0.513263i
$554$	33.1471	−	57.4124i	1.40828	−	2.43922i
$555$	24.5860	+	2.56573i	1.04362	+	0.108909i
$556$	29.0423	+	50.3027i	1.23167	+	2.13331i
$557$	13.9728	−	13.9728i	0.592048	−	0.592048i	−0.346136	−	0.938184i	$-0.612506\pi$
$557$	13.9728	−	13.9728i	0.592048	−	0.592048i	0.938184	+	0.346136i	$0.112506\pi$
$558$	2.70231	−	71.9094i	0.114398	−	3.04417i
$559$		−	33.2503i		−	1.40634i
$560$	0.314151	−	0.201050i	0.0132753	−	0.00849593i
$561$	−1.08235	−	9.61315i	−0.0456970	−	0.405867i
$562$	27.9944	−	7.50106i	1.18087	−	0.316413i
$563$	−0.620076	+	0.166149i	−0.0261331	+	0.00700234i	−0.271862	−	0.962336i	$-0.587639\pi$
$563$	−0.620076	+	0.166149i	−0.0261331	+	0.00700234i	0.245729	+	0.969339i	$0.420973\pi$
$564$	−16.8619	−	7.35838i	−0.710012	−	0.309844i
$565$	30.0889	−	19.2563i	1.26585	−	0.810118i
$566$		−	22.3136i		−	0.937909i
$567$	−38.1120	−	13.3498i	−1.60055	−	0.560639i
$568$	26.8654	−	26.8654i	1.12725	−	1.12725i
$569$	4.07901	+	7.06506i	0.171001	+	0.296183i	0.938770	−	0.344544i	$-0.111966\pi$
$569$	4.07901	+	7.06506i	0.171001	+	0.296183i	−0.767769	+	0.640727i	$0.778633\pi$
$570$	−6.76212	−	15.1578i	−0.283234	−	0.634892i
$571$	15.7501	−	27.2799i	0.659119	−	1.14163i	−0.321725	−	0.946833i	$-0.604263\pi$
$571$	15.7501	−	27.2799i	0.659119	−	1.14163i	0.980844	−	0.194795i	$-0.0624040\pi$
$572$	3.90486	+	14.5731i	0.163270	+	0.609333i
$573$	15.6172	−	19.5801i	0.652418	−	0.817970i
$574$	64.5784	−	37.2844i	2.69545	−	1.55622i
$575$	4.35782	−	5.23726i	0.181734	−	0.218409i
$576$	−26.3818	−	28.4420i	−1.09924	−	1.18508i
$577$	−8.20838	−	8.20838i	−0.341719	−	0.341719i	0.515294	−	0.857013i	$-0.327683\pi$
$577$	−8.20838	−	8.20838i	−0.341719	−	0.341719i	−0.857013	+	0.515294i	$0.827683\pi$
$578$	−8.41334	+	31.3990i	−0.349949	+	1.30603i
$579$	1.93081	+	2.61660i	0.0802418	+	0.108742i
$580$	12.2021	+	38.4231i	0.506665	+	1.59543i
$581$	−12.9714	−	7.48906i	−0.538146	−	0.310698i
$582$	−3.97243	+	26.3409i	−0.164663	+	1.09187i
$583$	2.29366	+	0.614586i	0.0949939	+	0.0254535i
$584$	−15.5244			−0.642403
$585$	−30.1968	−	7.82839i	−1.24848	−	0.323664i
$586$	7.32015			0.302393
$587$	−41.4442	−	11.1049i	−1.71059	−	0.458350i	−0.735018	−	0.678047i	$-0.762827\pi$
$587$	−41.4442	−	11.1049i	−1.71059	−	0.458350i	−0.975568	+	0.219697i	$0.929493\pi$
$588$	−57.6934	−	46.0166i	−2.37924	−	1.89769i
$589$	−16.9751	−	9.80059i	−0.699448	−	0.403826i
$590$	−13.3143	+	25.7061i	−0.548142	+	1.05830i
$591$	−11.2947	+	25.8819i	−0.464600	+	1.06464i
$592$	−0.0614099	+	0.229185i	−0.00252393	+	0.00941943i
$593$	−2.24446	−	2.24446i	−0.0921691	−	0.0921691i	0.659519	−	0.751688i	$-0.270760\pi$
$593$	−2.24446	−	2.24446i	−0.0921691	−	0.0921691i	−0.751688	+	0.659519i	$0.770760\pi$
$594$	2.21509	−	11.6915i	0.0908862	−	0.479708i
$595$	41.3930	+	37.7726i	1.69695	+	1.54853i
$596$	1.83617	−	1.06011i	0.0752123	−	0.0434239i
$597$	−0.644370	−	1.64222i	−0.0263723	−	0.0672115i
$598$	3.75579	+	14.0168i	0.153586	+	0.573190i
$599$	−14.9391	+	25.8753i	−0.610395	+	1.05723i	0.380779	+	0.924666i	$0.375656\pi$
$599$	−14.9391	+	25.8753i	−0.610395	+	1.05723i	−0.991174	+	0.132568i	$0.957678\pi$
$600$	−24.1695	+	4.98799i	−0.986716	+	0.203634i
$601$	−20.8662	−	36.1414i	−0.851151	−	1.47424i	−0.880170	−	0.474659i	$-0.842571\pi$
$601$	−20.8662	−	36.1414i	−0.851151	−	1.47424i	0.0290184	−	0.999579i	$-0.490762\pi$
$602$	−51.9515	+	51.9515i	−2.11739	+	2.11739i
$603$	2.57230	−	4.09232i	0.104752	−	0.166652i
$604$			40.1869i			1.63518i
$605$	0.479462	−	2.18406i	0.0194929	−	0.0887947i
$606$	−33.5253	+	24.7386i	−1.36187	+	1.00494i
$607$	−24.7935	+	6.64341i	−1.00634	+	0.269648i	−0.724099	−	0.689696i	$-0.757744\pi$
$607$	−24.7935	+	6.64341i	−1.00634	+	0.269648i	−0.282240	+	0.959344i	$0.591077\pi$
$608$	−10.1482	+	2.71921i	−0.411565	+	0.110278i
$609$	34.7502	−	25.6425i	1.40815	−	1.03909i
$610$	8.37768	+	13.0905i	0.339202	+	0.530021i
$611$			15.2247i			0.615924i
$612$	−28.9295	+	46.0245i	−1.16941	+	1.86043i
$613$	−8.38552	+	8.38552i	−0.338688	+	0.338688i	−0.855873	−	0.517186i	$-0.826980\pi$
$613$	−8.38552	+	8.38552i	−0.338688	+	0.338688i	0.517186	+	0.855873i	$0.326980\pi$
$614$	8.08101	+	13.9967i	0.326123	+	0.564862i
$615$	−27.7572	+	4.41733i	−1.11928	+	0.178124i
$616$	6.39314	−	11.0732i	0.257587	−	0.446154i
$617$	−1.71154	−	6.38754i	−0.0689038	−	0.257153i	0.922878	−	0.385092i	$-0.125830\pi$
$617$	−1.71154	−	6.38754i	−0.0689038	−	0.257153i	−0.991782	+	0.127940i	$0.959164\pi$
$618$	−9.35098	−	23.8316i	−0.376152	−	0.958647i
$619$	−36.3572	+	20.9908i	−1.46132	+	0.843692i	−0.999073	−	0.0430595i	$-0.986289\pi$
$619$	−36.3572	+	20.9908i	−1.46132	+	0.843692i	−0.462246	+	0.886752i	$0.652956\pi$
$620$	−51.2202	+	56.1294i	−2.05705	+	2.25421i
$621$	1.31803	−	6.95671i	0.0528907	−	0.279163i
$622$	7.83369	+	7.83369i	0.314102	+	0.314102i
$623$	7.02662	−	26.2237i	0.281515	−	1.05063i
$624$	0.119760	−	0.274432i	0.00479423	−	0.0109861i
$625$	8.35603	−	23.5622i	0.334241	−	0.942488i
$626$	32.4332	+	18.7253i	1.29629	+	0.748415i
$627$	−2.53398	−	2.02112i	−0.101197	−	0.0807157i
$628$	−23.8606	−	6.39343i	−0.952142	−	0.255126i
$629$	−35.6479			−1.42138
$630$	34.9492	+	59.4119i	1.39241	+	2.36703i
$631$	−24.6538			−0.981454			−0.490727	−	0.871313i	$-0.663269\pi$
$631$	−24.6538			−0.981454			−0.490727	+	0.871313i	$0.663269\pi$
$632$	−7.66561	−	2.05399i	−0.304922	−	0.0817035i
$633$	2.41386	−	16.0061i	0.0959424	−	0.636187i
$634$	13.2920	+	7.67416i	0.527894	+	0.304780i
$635$	4.11025	+	2.12888i	0.163110	+	0.0844818i
$636$	−7.92289	−	10.7370i	−0.314163	−	0.425748i
$637$	−15.8061	+	58.9893i	−0.626262	+	2.33724i
$638$	8.99858	+	8.99858i	0.356257	+	0.356257i
$639$	27.2006	+	29.3248i	1.07604	+	1.16007i
$640$	1.87804	+	41.0667i	0.0742362	+	1.62330i
$641$	7.60376	−	4.39003i	0.300331	−	0.173396i	−0.342261	−	0.939605i	$-0.611193\pi$
$641$	7.60376	−	4.39003i	0.300331	−	0.173396i	0.642591	+	0.766209i	$0.277859\pi$
$642$	4.31179	−	5.40591i	0.170173	−	0.213354i
$643$	6.61387	+	24.6833i	0.260825	+	0.973414i	0.964756	+	0.263145i	$0.0847598\pi$
$643$	6.61387	+	24.6833i	0.260825	+	0.973414i	−0.703931	+	0.710269i	$0.748574\pi$
$644$	9.91813	−	17.1787i	0.390829	−	0.676936i
$645$	25.2900	−	11.2823i	0.995794	−	0.444238i
$646$	11.9678	+	20.7288i	0.470867	+	0.815566i
$647$	−6.12242	+	6.12242i	−0.240697	+	0.240697i	−0.817138	−	0.576441i	$-0.804441\pi$
$647$	−6.12242	+	6.12242i	−0.240697	+	0.240697i	0.576441	+	0.817138i	$0.304441\pi$
$648$	−19.4451	+	16.7229i	−0.763877	+	0.656939i
$649$			5.65341i			0.221916i
$650$	30.7213	+	43.4908i	1.20499	+	1.70585i
$651$	74.6073	+	32.5580i	2.92409	+	1.27605i
$652$	9.02094	−	2.41715i	0.353287	−	0.0946630i
$653$	−15.3827	+	4.12179i	−0.601972	+	0.161298i	−0.546919	−	0.837185i	$-0.684199\pi$
$653$	−15.3827	+	4.12179i	−0.601972	+	0.161298i	−0.0550531	+	0.998483i	$0.517533\pi$
$654$	−3.52465	−	31.3049i	−0.137825	−	1.22412i
$655$	14.7634	+	3.24098i	0.576856	+	0.126636i
$656$		−	0.269779i		−	0.0105331i
$657$	0.613739	−	16.3318i	0.0239442	−	0.637165i
$658$	23.7876	−	23.7876i	0.927335	−	0.927335i
$659$	15.4990	+	26.8450i	0.603754	+	1.04573i	0.992247	+	0.124280i	$0.0396622\pi$
$659$	15.4990	+	26.8450i	0.603754	+	1.04573i	−0.388494	+	0.921451i	$0.627004\pi$
$660$	−9.75928	+	7.91486i	−0.379880	+	0.308085i
$661$	15.2014	−	26.3295i	0.591264	−	1.02410i	−0.402798	−	0.915289i	$-0.631962\pi$
$661$	15.2014	−	26.3295i	0.591264	−	1.02410i	0.994062	−	0.108811i	$-0.0347042\pi$
$662$	−12.4707	−	46.5412i	−0.484687	−	1.80888i
$663$	44.4833	+	6.70845i	1.72759	+	0.260535i
$664$	−8.23820	+	4.75633i	−0.319704	+	0.184581i
$665$	18.7559	−	0.857738i	0.727324	−	0.0332616i
$666$	−41.8990	−	12.9316i	−1.62355	−	0.501088i
$667$	5.35436	+	5.35436i	0.207322	+	0.207322i
$668$	−1.11367	+	4.15626i	−0.0430891	+	0.160811i
$669$	−49.2132	+	5.54096i	−1.90269	+	0.214226i
$670$	−7.86353	+	2.49724i	−0.303795	+	0.0964767i
$671$	2.62846	+	1.51754i	0.101470	+	0.0585840i
$672$	40.6166	−	15.9370i	1.56682	−	0.614785i
$673$	15.6806	+	4.20161i	0.604444	+	0.161960i	0.548046	−	0.836448i	$-0.315372\pi$
$673$	15.6806	+	4.20161i	0.604444	+	0.161960i	0.0563976	+	0.998408i	$0.482039\pi$
$674$	6.41637			0.247149
$675$	−4.29191	−	25.6238i	−0.165196	−	0.986261i
$676$	−27.9830			−1.07627
$677$	13.9856	+	3.74742i	0.537509	+	0.144025i	0.517353	−	0.855772i	$-0.326917\pi$
$677$	13.9856	+	3.74742i	0.537509	+	0.144025i	0.0201553	+	0.999797i	$0.493584\pi$
$678$	−58.9898	+	23.1463i	−2.26549	+	0.888928i
$679$	−26.0968	−	15.0670i	−1.00150	−	0.578218i
$680$	33.9199	−	10.7720i	1.30077	−	0.413088i
$681$	−29.8654	+	3.36258i	−1.14444	+	0.128854i
$682$	−6.20822	+	23.1694i	−0.237725	+	0.887202i
$683$	15.2914	+	15.2914i	0.585109	+	0.585109i	0.936303	−	0.351194i	$-0.114224\pi$
$683$	15.2914	+	15.2914i	0.585109	+	0.585109i	−0.351194	+	0.936303i	$0.614224\pi$
$684$	4.05016	+	17.7581i	0.154862	+	0.678999i
$685$	−40.3944	+	1.84730i	−1.54339	+	0.0705816i
$686$	54.5722	−	31.5073i	2.08358	−	1.20295i
$687$	−0.220960	−	0.0333226i	−0.00843013	−	0.00127134i
$688$	0.0687956	+	0.256749i	0.00262281	+	0.00978846i
$689$	−5.52122	+	9.56304i	−0.210342	+	0.364323i
$690$	−9.38674	+	7.61272i	−0.357347	+	0.289811i
$691$	10.1315	+	17.5483i	0.385421	+	0.667569i	0.991828	−	0.127586i	$-0.0407229\pi$
$691$	10.1315	+	17.5483i	0.385421	+	0.667569i	−0.606406	+	0.795155i	$0.707390\pi$
$692$	41.6012	−	41.6012i	1.58144	−	1.58144i
$693$	11.3964	+	7.16343i	0.432915	+	0.272116i
$694$		−	34.1954i		−	1.29804i
$695$	39.1016	+	8.58389i	1.48321	+	0.325606i
$696$	−3.06878	−	27.2560i	−0.116322	−	1.03314i
$697$	39.1511	−	10.4905i	1.48296	−	0.397357i
$698$	−35.5165	+	9.51662i	−1.34432	+	0.360209i
$699$	12.2599	+	5.35013i	0.463713	+	0.202361i
$700$	12.3429	−	71.7321i	0.466516	−	2.71122i
$701$		−	25.8723i		−	0.977185i	−0.872512	−	0.488592i	$-0.837511\pi$
$701$		−	25.8723i		−	0.977185i	0.872512	−	0.488592i	$-0.162489\pi$
$702$	49.8501	+	24.0215i	1.88147	+	0.906632i
$703$	−8.44572	+	8.44572i	−0.318536	+	0.318536i
$704$	6.46560	+	11.1987i	0.243681	+	0.422069i
$705$	−11.5798	+	5.16592i	−0.436121	+	0.194560i
$706$	−15.7337	+	27.2515i	−0.592145	+	1.02562i
$707$	−12.1985	−	45.5254i	−0.458772	−	1.71216i
$708$	19.8095	−	24.8362i	0.744487	−	0.933403i
$709$	−15.3758	+	8.87722i	−0.577450	+	0.333391i	−0.760119	−	0.649783i	$-0.774860\pi$
$709$	−15.3758	+	8.87722i	−0.577450	+	0.333391i	0.182669	+	0.983174i	$0.441526\pi$
$710$	−3.11894	−	68.2011i	−0.117052	−	2.55954i
$711$	2.46388	−	7.98311i	0.0924026	−	0.299390i
$712$	−12.1921	−	12.1921i	−0.456919	−	0.456919i
$713$	−3.69403	+	13.7863i	−0.138343	+	0.516302i
$714$	−59.0207	−	79.9838i	−2.20880	−	2.99332i
$715$	9.23334	+	4.78235i	0.345307	+	0.178850i
$716$	−59.8112	−	34.5320i	−2.23525	−	1.29052i
$717$	−5.21739	+	34.5961i	−0.194847	+	1.29202i
$718$	49.1506	+	13.1699i	1.83428	+	0.491495i
$719$	17.7576			0.662245			0.331123	−	0.943588i	$-0.392573\pi$
$719$	17.7576			0.662245			0.331123	+	0.943588i	$0.392573\pi$
$720$	0.249367	−	0.00202939i	0.00929338	−	7.56311e-5i
$721$	28.9595			1.07851
$722$	−34.2820	−	9.18583i	−1.27584	−	0.341861i
$723$	21.4953	+	17.1448i	0.799420	+	0.637622i
$724$	9.96496	+	5.75327i	0.370345	+	0.213819i
$725$	25.2302	+	11.6383i	0.937026	+	0.432237i
$726$	−1.58646	+	3.63541i	−0.0588792	+	0.134923i
$727$	2.72987	−	10.1880i	0.101245	−	0.377853i	−0.896647	−	0.442747i	$-0.854004\pi$
$727$	2.72987	−	10.1880i	0.101245	−	0.377853i	0.997892	+	0.0648936i	$0.0206708\pi$
$728$	42.0444	+	42.0444i	1.55827	+	1.55827i
$729$	−16.8240	−	21.1176i	−0.623110	−	0.782134i
$730$	−18.8041	+	20.6064i	−0.695972	+	0.762678i
$731$	−34.5850	+	19.9677i	−1.27917	+	0.738530i
$732$	−6.22973	−	15.8769i	−0.230257	−	0.586826i
$733$	−4.67259	−	17.4384i	−0.172586	−	0.644100i	−0.996950	−	0.0780403i	$-0.975134\pi$
$733$	−4.67259	−	17.4384i	−0.172586	−	0.644100i	0.824364	−	0.566060i	$-0.191533\pi$
$734$	30.9442	−	53.5969i	1.14217	−	1.97830i
$735$	−50.2302	+	7.99374i	−1.85277	+	0.294853i
$736$	3.82506	+	6.62520i	0.140994	+	0.244208i
$737$	−1.13929	+	1.13929i	−0.0419664	+	0.0419664i
$738$	49.8221	+	1.87228i	1.83398	+	0.0689196i
$739$		−	3.55184i		−	0.130657i	−0.997864	−	0.0653283i	$-0.979191\pi$
$739$		−	3.55184i		−	0.130657i	0.997864	−	0.0653283i	$-0.0208095\pi$
$740$	24.9592	+	39.0000i	0.917519	+	1.43367i
$741$	12.1284	−	8.94962i	0.445547	−	0.328773i
$742$	23.5682	−	6.31508i	0.865216	−	0.231834i
$743$	−11.7797	+	3.15635i	−0.432154	+	0.115795i	−0.468337	−	0.883550i	$-0.655147\pi$
$743$	−11.7797	+	3.15635i	−0.432154	+	0.115795i	0.0361832	+	0.999345i	$0.488480\pi$
$744$	41.5991	−	30.6963i	1.52510	−	1.12538i
$745$	0.313333	−	1.42730i	0.0114796	−	0.0522923i
$746$			25.2342i			0.923889i
$747$	−4.67802	−	8.85472i	−0.171160	−	0.323977i
$748$	12.8131	−	12.8131i	0.468494	−	0.468494i
$749$	3.91108	+	6.77419i	0.142908	+	0.247523i
$750$	−22.6548	+	38.1234i	−0.827237	+	1.39207i
$751$	3.51109	−	6.08138i	0.128121	−	0.221913i	−0.794827	−	0.606836i	$-0.792439\pi$
$751$	3.51109	−	6.08138i	0.128121	−	0.221913i	0.922949	+	0.384923i	$0.125772\pi$
$752$	−0.0315001	−	0.117560i	−0.00114869	−	0.00428698i
$753$	−0.903844	−	2.30351i	−0.0329379	−	0.0839444i
$754$	−51.2506	+	29.5895i	−1.86644	+	1.07759i
$755$	20.4593	+	18.6699i	0.744591	+	0.679467i
$756$	−24.9656	−	71.4030i	−0.907989	−	2.59690i
$757$	32.0769	+	32.0769i	1.16585	+	1.16585i	0.983172	+	0.182682i	$0.0584777\pi$
$757$	32.0769	+	32.0769i	1.16585	+	1.16585i	0.182682	+	0.983172i	$0.441522\pi$
$758$	20.3689	−	76.0179i	0.739833	−	2.76109i
$759$	−0.943982	+	2.16315i	−0.0342644	+	0.0785175i
$760$	5.48421	−	10.5884i	0.198933	−	0.384083i
$761$	−19.9956	−	11.5445i	−0.724840	−	0.418487i	0.0916914	−	0.995787i	$-0.470773\pi$
$761$	−19.9956	−	11.5445i	−0.724840	−	0.418487i	−0.816532	+	0.577301i	$0.804106\pi$
$762$	−6.41919	−	5.11998i	−0.232543	−	0.185477i
$763$	34.4219	+	9.22331i	1.24615	+	0.333906i
$764$	46.9136			1.69727
$765$	9.99131	+	36.1100i	0.361237	+	1.30556i
$766$	9.96410			0.360018
$767$	−25.3941	−	6.80433i	−0.916928	−	0.245690i
$768$	4.19454	−	27.8137i	0.151358	−	1.00364i
$769$	−21.6142	−	12.4790i	−0.779428	−	0.450003i	0.0567995	−	0.998386i	$-0.481910\pi$
$769$	−21.6142	−	12.4790i	−0.779428	−	0.450003i	−0.836228	+	0.548383i	$0.815244\pi$
$770$	−6.95439	−	21.8986i	−0.250619	−	0.789172i
$771$	−8.68754	−	11.7732i	−0.312874	−	0.424001i
$772$	−1.57651	+	5.88363i	−0.0567400	+	0.211756i
$773$	3.28578	+	3.28578i	0.118181	+	0.118181i	0.763724	−	0.645543i	$-0.223369\pi$
$773$	3.28578	+	3.28578i	0.118181	+	0.118181i	−0.645543	+	0.763724i	$0.723369\pi$
$774$	−47.8931	+	10.9231i	−1.72148	+	0.392624i
$775$	4.78005	+	52.1528i	0.171704	+	1.87339i
$776$	−16.5742	+	9.56910i	−0.594978	+	0.343511i
$777$	30.9299	−	38.7784i	1.10960	−	1.39117i
$778$	10.0741	+	37.5970i	0.361174	+	1.34792i
$779$	6.79029	−	11.7611i	0.243287	−	0.421386i
$780$	−23.8061	−	53.3632i	−0.852394	−	1.91071i
$781$	−6.66628	−	11.5463i	−0.238538	−	0.413160i
$782$	12.3240	−	12.3240i	0.440705	−	0.440705i
$783$	28.7949	−	2.15086i	1.02905	−	0.0768654i
$784$		−	0.488201i		−	0.0174357i
$785$	−14.3400	+	9.17731i	−0.511817	+	0.327552i
$786$	−24.5741	−	10.7239i	−0.876528	−	0.382510i
$787$	21.3803	−	5.72884i	0.762126	−	0.204211i	0.143236	−	0.989689i	$-0.454249\pi$
$787$	21.3803	−	5.72884i	0.762126	−	0.204211i	0.618890	+	0.785478i	$0.287583\pi$
$788$	−51.0932	+	13.6904i	−1.82012	+	0.487699i
$789$	2.99569	+	26.6068i	0.106649	+	0.947227i
$790$	−12.0115	+	7.68710i	−0.427349	+	0.273495i
$791$		−	71.6829i		−	2.54875i
$792$	7.55895	−	3.99346i	0.268596	−	0.141901i
$793$	−9.98008	+	9.98008i	−0.354403	+	0.354403i
$794$	15.0315	+	26.0353i	0.533448	+	0.923959i
$795$	−9.14702	−	0.954558i	−0.324411	−	0.0338547i
$796$	1.65221	−	2.86171i	0.0585610	−	0.101431i
$797$	14.1205	+	52.6985i	0.500175	+	1.86668i	0.498866	+	0.866679i	$0.333750\pi$
$797$	14.1205	+	52.6985i	0.500175	+	1.86668i	0.00130891	+	0.999999i	$0.499583\pi$
$798$	−32.9330	−	4.96658i	−1.16582	−	0.175815i
$799$	15.8358	−	9.14279i	0.560230	−	0.323449i
$800$	21.5780	+	17.9547i	0.762899	+	0.634794i
$801$	13.3083	−	12.3443i	0.470224	−	0.436163i
$802$	−6.79516	−	6.79516i	−0.239945	−	0.239945i
$803$	−1.40999	+	5.26215i	−0.0497575	+	0.185697i
$804$	8.99716	−	1.01300i	0.317305	−	0.0357257i
$805$	−4.13802	−	13.0302i	−0.145846	−	0.459253i
$806$	−96.6008	−	55.7725i	−3.40262	−	1.96450i
$807$	4.74217	−	1.86072i	0.166932	−	0.0655005i
$808$	−28.9133	−	7.74731i	−1.01717	−	0.272549i
$809$	49.3338			1.73449			0.867243	−	0.497886i	$-0.165890\pi$
$809$	49.3338			1.73449			0.867243	+	0.497886i	$0.165890\pi$
$810$	−1.35584	+	46.0666i	−0.0476393	+	1.61861i
$811$	−29.4535			−1.03425			−0.517125	−	0.855910i	$-0.672998\pi$
$811$	−29.4535			−1.03425			−0.517125	+	0.855910i	$0.672998\pi$
$812$	78.1387	+	20.9372i	2.74213	+	0.734751i
$813$	−6.48351	+	2.54399i	−0.227387	+	0.0892215i
$814$	12.6582	+	7.30820i	0.443669	+	0.256152i
$815$	2.96033	−	5.71555i	0.103696	−	0.200207i
$816$	−0.357366	+	0.0402362i	−0.0125103	+	0.00140855i
$817$	−3.46315	+	12.9246i	−0.121160	+	0.452176i
$818$	−34.2289	−	34.2289i	−1.19679	−	1.19679i
$819$	−45.8934	+	42.5690i	−1.60364	+	1.48748i
$820$	−38.8890	−	35.4876i	−1.35806	−	1.23928i
$821$	−14.5384	+	8.39373i	−0.507393	+	0.292943i	−0.731761	−	0.681561i	$-0.761301\pi$
$821$	−14.5384	+	8.39373i	−0.507393	+	0.292943i	0.224369	+	0.974504i	$0.427968\pi$
$822$	70.9274	+	10.6965i	2.47388	+	0.373082i
$823$	12.6011	+	47.0279i	0.439247	+	1.63929i	0.730695	+	0.682704i	$0.239196\pi$
$823$	12.6011	+	47.0279i	0.439247	+	1.63929i	−0.291449	+	0.956587i	$0.594137\pi$
$824$	9.19614	−	15.9282i	0.320363	−	0.554884i
$825$	−0.504444	+	8.64555i	−0.0175625	+	0.300999i
$826$	29.0454	+	50.3080i	1.01062	+	1.75044i
$827$	16.2253	−	16.2253i	0.564210	−	0.564210i	−0.366290	−	0.930501i	$-0.619372\pi$
$827$	16.2253	−	16.2253i	0.564210	−	0.564210i	0.930501	+	0.366290i	$0.119372\pi$
$828$	11.7267	−	6.19533i	0.407532	−	0.215303i
$829$			5.41274i			0.187992i	0.995573	+	0.0939961i	$0.0299641\pi$
$829$			5.41274i			0.187992i	−0.995573	+	0.0939961i	$0.970036\pi$
$830$	−3.66528	+	16.6962i	−0.127224	+	0.579534i
$831$	5.60994	+	49.8258i	0.194607	+	1.72844i
$832$	−58.0847	+	15.5637i	−2.01372	+	0.539576i
$833$	70.8492	−	18.9840i	2.45478	−	0.657756i
$834$	−65.0855	−	28.4028i	−2.25373	−	0.983508i
$835$	1.59859	+	2.49787i	0.0553214	+	0.0864425i
$836$		−	6.07138i		−	0.209983i
$837$	30.6483	+	44.9763i	1.05936	+	1.55461i
$838$	27.4242	−	27.4242i	0.947353	−	0.947353i
$839$	9.81084	+	16.9929i	0.338708	+	0.586659i	0.984190	−	0.177116i	$-0.0566769\pi$
$839$	9.81084	+	16.9929i	0.338708	+	0.586659i	−0.645482	+	0.763775i	$0.723344\pi$
$840$	−17.7126	+	46.2450i	−0.611142	+	1.59560i
$841$	−0.940277	+	1.62861i	−0.0324233	+	0.0561589i
$842$	−7.05296	−	26.3220i	−0.243061	−	0.907116i
$843$	−13.6683	+	17.1367i	−0.470761	+	0.590218i
$844$	26.2585	−	15.1603i	0.903855	−	0.521841i
$845$	−13.0002	+	14.2462i	−0.447221	+	0.490086i
$846$	21.9293	−	5.00149i	0.753945	−	0.171955i
$847$	−3.17274	−	3.17274i	−0.109017	−	0.109017i
$848$	0.0228471	−	0.0852664i	0.000784571	−	0.00292806i
$849$	10.0205	+	13.5796i	0.343903	+	0.466052i
$850$	26.7877	−	58.0718i	0.918810	−	1.99184i
$851$	7.53190	+	4.34855i	0.258190	+	0.149066i
$852$	−11.1724	+	74.0833i	−0.382760	+	2.53805i
$853$	−27.4632	−	7.35875i	−0.940323	−	0.251959i	−0.244072	−	0.969757i	$-0.578483\pi$
$853$	−27.4632	−	7.35875i	−0.940323	−	0.251959i	−0.696251	+	0.717798i	$0.745150\pi$
$854$	31.1865			1.06718
$855$	10.9223	+	6.18806i	0.373536	+	0.211627i
$856$	4.96788			0.169799
$857$	−50.1272	−	13.4316i	−1.71231	−	0.458813i	−0.736324	−	0.676629i	$-0.763440\pi$
$857$	−50.1272	−	13.4316i	−1.71231	−	0.458813i	−0.975990	+	0.217816i	$0.930107\pi$
$858$	−14.4202	−	11.5016i	−0.492297	−	0.392659i
$859$	−32.8504	−	18.9662i	−1.12084	−	0.647118i	−0.179226	−	0.983808i	$-0.557359\pi$
$859$	−32.8504	−	18.9662i	−1.12084	−	0.647118i	−0.941616	+	0.336690i	$0.890693\pi$
$860$	46.0603	+	23.8566i	1.57064	+	0.813504i
$861$	−22.5577	+	51.6913i	−0.768763	+	1.76164i
$862$	8.66359	−	32.3330i	0.295083	−	1.10126i
$863$	−31.5476	−	31.5476i	−1.07389	−	1.07389i	−0.997043	−	0.0768501i	$-0.975514\pi$
$863$	−31.5476	−	31.5476i	−1.07389	−	1.07389i	−0.0768501	−	0.997043i	$-0.524486\pi$
$864$	28.6624	+	5.43042i	0.975114	+	0.184747i
$865$	−1.85241	−	40.5063i	−0.0629839	−	1.37725i
$866$	−29.2108	+	16.8648i	−0.992622	+	0.573091i
$867$	−8.98039	−	22.8871i	−0.304990	−	0.777287i
$868$	39.4639	+	147.281i	1.33949	+	4.99906i
$869$	−1.39245	+	2.41179i	−0.0472355	+	0.0818144i
$870$	−39.8956	−	28.9409i	−1.35259	−	0.981187i
$871$	−3.74627	−	6.48873i	−0.126938	−	0.219862i
$872$	16.0037	−	16.0037i	0.541953	−	0.541953i
$873$	−9.41157	−	17.8145i	−0.318533	−	0.602930i
$874$		−	5.83962i		−	0.197528i
$875$	−30.7849	−	39.6089i	−1.04072	−	1.33902i
$876$	24.6329	−	18.1768i	0.832267	−	0.614137i
$877$	−37.1598	+	9.95693i	−1.25480	+	0.336222i	−0.824187	−	0.566317i	$-0.808368\pi$
$877$	−37.1598	+	9.95693i	−1.25480	+	0.336222i	−0.430609	+	0.902539i	$0.641701\pi$
$878$	−28.2835	+	7.57853i	−0.954521	+	0.255763i
$879$	−4.45491	+	3.28732i	−0.150260	+	0.110878i
$880$	−0.0811918	−	0.0178239i	−0.00273698	−	0.000600842i
$881$			55.4605i			1.86851i	0.356603	+	0.934256i	$0.383935\pi$
$881$			55.4605i			1.86851i	−0.356603	+	0.934256i	$0.616065\pi$
$882$	90.1596	+	3.38814i	3.03583	+	0.114085i
$883$	26.3068	−	26.3068i	0.885293	−	0.885293i	−0.108774	−	0.994067i	$-0.534692\pi$
$883$	26.3068	−	26.3068i	0.885293	−	0.885293i	0.994067	+	0.108774i	$0.0346923\pi$
$884$	42.1327	+	72.9759i	1.41708	+	2.45445i
$885$	−3.44120	−	21.6234i	−0.115675	−	0.726864i
$886$	−8.10754	+	14.0427i	−0.272378	+	0.471772i
$887$	5.72839	+	21.3787i	0.192341	+	0.717825i	0.992939	+	0.118624i	$0.0378483\pi$
$887$	5.72839	+	21.3787i	0.192341	+	0.717825i	−0.800599	+	0.599201i	$0.795485\pi$
$888$	−11.5069	−	29.3260i	−0.386146	−	0.984118i
$889$	8.04393	−	4.64417i	0.269785	−	0.155760i
$890$	−30.9512	+	1.41545i	−1.03749	+	0.0474459i
$891$	3.90233	+	8.10998i	0.130733	+	0.271695i
$892$	−65.5950	−	65.5950i	−2.19628	−	2.19628i
$893$	1.58571	−	5.91793i	0.0530636	−	0.198036i
$894$	−1.03677	+	2.37578i	−0.0346747	+	0.0794578i
$895$	−45.3673	+	14.4074i	−1.51646	+	0.481586i
$896$	71.4396	+	41.2457i	2.38663	+	1.37792i
$897$	−8.58035	−	6.84373i	−0.286489	−	0.228506i
$898$	−38.1167	−	10.2133i	−1.27197	−	0.340823i
$899$	−58.2059			−1.94128
$900$	32.5101	−	36.2136i	1.08367	−	1.20712i
$901$	13.2625			0.441839
$902$	−16.0528	−	4.30133i	−0.534500	−	0.143219i
$903$	8.28647	−	54.9470i	0.275757	−	1.82852i
$904$	−39.4267	−	22.7630i	−1.31131	−	0.757087i
$905$	7.55850	−	2.40037i	0.251253	−	0.0797910i
$906$	−29.1722	−	39.5336i	−0.969181	−	1.31342i
$907$	−0.935431	+	3.49108i	−0.0310605	+	0.115919i	−0.979716	−	0.200393i	$-0.935778\pi$
$907$	−0.935431	+	3.49108i	−0.0310605	+	0.115919i	0.948655	+	0.316312i	$0.102445\pi$
$908$	−39.8068	−	39.8068i	−1.32104	−	1.32104i
$909$	9.29332	−	30.1109i	0.308240	−	0.998715i
$910$	106.735	−	4.88115i	3.53823	−	0.161809i
$911$	−3.16879	+	1.82950i	−0.104987	+	0.0606142i	−0.551574	−	0.834126i	$-0.685973\pi$
$911$	−3.16879	+	1.82950i	−0.104987	+	0.0606142i	0.446587	+	0.894740i	$0.352639\pi$
$912$	−0.0751345	+	0.0942001i	−0.00248795	+	0.00311928i
$913$	0.863980	+	3.22442i	0.0285936	+	0.106713i
$914$	−42.2394	+	73.1608i	−1.39716	+	2.41994i
$915$	−10.9772	−	4.20444i	−0.362894	−	0.138994i
$916$	−0.209284	−	0.362490i	−0.00691493	−	0.0119770i
$917$	21.4466	−	21.4466i	0.708229	−	0.708229i
$918$	−4.95058	−	66.2766i	−0.163393	−	2.18745i
$919$		−	28.7386i		−	0.948000i	−0.880525	−	0.474000i	$-0.842810\pi$
$919$		−	28.7386i		−	0.948000i	0.880525	−	0.474000i	$-0.157190\pi$
$920$	−8.48084	−	1.86178i	−0.279605	−	0.0613810i
$921$	−11.2036	−	4.88915i	−0.369170	−	0.161103i
$922$	−60.5697	+	16.2296i	−1.99476	+	0.534493i
$923$	59.8875	−	16.0468i	1.97122	−	0.528187i
$924$	2.82104	+	25.0556i	0.0928053	+	0.824269i
$925$	31.4505	+	5.41166i	1.03409	+	0.177934i
$926$			84.5375i			2.77808i
$927$	16.3931	+	10.3041i	0.538419	+	0.338433i
$928$	−22.0605	+	22.0605i	−0.724172	+	0.724172i
$929$	17.3641	+	30.0756i	0.569699	+	0.986748i	0.996595	+	0.0824473i	$0.0262736\pi$
$929$	17.3641	+	30.0756i	0.569699	+	0.986748i	−0.426896	+	0.904301i	$0.640393\pi$
$930$	9.64244	−	92.3984i	0.316188	−	3.02986i
$931$	12.2879	−	21.2833i	0.402720	−	0.697532i
$932$	6.48495	+	24.2022i	0.212422	+	0.792768i
$933$	−8.28538	−	1.24951i	−0.271251	−	0.0409070i
$934$	15.4497	−	8.91990i	0.505531	−	0.291868i
$935$	−0.570541	−	12.4759i	−0.0186587	−	0.408005i
$936$	8.84011	+	38.7599i	0.288948	+	1.26691i
$937$	15.8130	+	15.8130i	0.516589	+	0.516589i	0.916538	−	0.399948i	$-0.130972\pi$
$937$	15.8130	+	15.8130i	0.516589	+	0.516589i	−0.399948	+	0.916538i	$0.630972\pi$
$938$	−4.28492	+	15.9915i	−0.139908	+	0.522143i
$939$	−28.1474	+	3.16914i	−0.918555	+	0.103421i
$940$	−21.0901	−	10.9235i	−0.687882	−	0.356284i
$941$	−13.1445	−	7.58898i	−0.428498	−	0.247394i	0.270208	−	0.962802i	$-0.412907\pi$
$941$	−13.1445	−	7.58898i	−0.428498	−	0.247394i	−0.698707	+	0.715408i	$0.746241\pi$
$942$	28.1138	−	11.0312i	0.915998	−	0.359417i
$943$	−9.55178	−	2.55939i	−0.311049	−	0.0833452i
$944$	0.210164			0.00684025
$945$	−47.9500	−	20.4621i	−1.55981	−	0.665632i
$946$	16.3743			0.532375
$947$	−15.0499	−	4.03260i	−0.489055	−	0.131042i	0.00586067	−	0.999983i	$-0.498134\pi$
$947$	−15.0499	−	4.03260i	−0.489055	−	0.131042i	−0.494916	+	0.868941i	$0.664801\pi$
$948$	14.5681	−	5.71621i	0.473151	−	0.185654i
$949$	−21.9396	−	12.6669i	−0.712191	−	0.411184i
$950$	−7.41184	−	20.1049i	−0.240472	−	0.652290i
$951$	−11.5356	+	1.29880i	−0.374067	+	0.0421166i
$952$	18.4834	−	68.9808i	0.599049	−	2.23568i
$953$	−10.5498	−	10.5498i	−0.341742	−	0.341742i	0.515280	−	0.857022i	$-0.327688\pi$
$953$	−10.5498	−	10.5498i	−0.341742	−	0.341742i	−0.857022	+	0.515280i	$0.827688\pi$
$954$	15.5882	+	4.81108i	0.504687	+	0.155765i
$955$	21.7950	−	23.8839i	0.705268	−	0.772865i
$956$	−56.7558	+	32.7680i	−1.83561	+	1.05979i
$957$	−9.51743	−	1.43531i	−0.307655	−	0.0463970i
$958$	13.9925	+	52.2208i	0.452078	+	1.68718i
$959$	−40.5705	+	70.2701i	−1.31009	+	2.26914i
$960$	−31.5466	−	38.8980i	−1.01816	−	1.25543i
$961$	−39.3553	−	68.1654i	−1.26953	−	2.19889i
$962$	−48.0623	+	48.0623i	−1.54959	+	1.54959i
$963$	−0.196400	+	5.22627i	−0.00632889	+	0.168414i
$964$			51.5025i			1.65878i
$965$	2.26297	+	3.53601i	0.0728476	+	0.113828i
$966$	2.71335	+	24.0991i	0.0873005	+	0.775377i
$967$	50.8779	−	13.6327i	1.63612	−	0.438398i	0.680441	−	0.732803i	$-0.261788\pi$
$967$	50.8779	−	13.6327i	1.63612	−	0.438398i	0.955681	+	0.294405i	$0.0951214\pi$
$968$	−2.75257	+	0.737548i	−0.0884709	+	0.0237057i
$969$	−16.5923	−	7.24072i	−0.533020	−	0.232606i
$970$	−7.37407	+	33.5906i	−0.236767	+	1.07853i
$971$		−	60.8107i		−	1.95151i	−0.218869	−	0.975754i	$-0.570237\pi$
$971$		−	60.8107i		−	1.95151i	0.218869	−	0.975754i	$-0.429763\pi$
$972$	11.2739	−	49.3021i	0.361609	−	1.58136i
$973$	56.8022	−	56.8022i	1.82100	−	1.82100i
$974$	−20.8864	−	36.1763i	−0.669243	−	1.15916i
$975$	−38.2272	−	12.6715i	−1.22425	−	0.405813i
$976$	0.0564141	−	0.0977121i	0.00180577	−	0.00312769i
$977$	−11.4086	−	42.5773i	−0.364992	−	1.36217i	−0.867432	−	0.497557i	$-0.834231\pi$
$977$	−11.4086	−	42.5773i	−0.364992	−	1.36217i	0.502439	−	0.864612i	$-0.332436\pi$
$978$	−7.11965	+	8.92628i	−0.227661	+	0.285431i
$979$	−5.23999	+	3.02531i	−0.167471	+	0.0966894i
$980$	−70.3747	−	64.2195i	−2.24804	−	2.05142i
$981$	16.2034	+	17.4687i	0.517334	+	0.557734i
$982$	58.7088	+	58.7088i	1.87347	+	1.87347i
$983$	2.51612	−	9.39030i	0.0802519	−	0.299504i	−0.914121	−	0.405442i	$-0.867118\pi$
$983$	2.51612	−	9.39030i	0.0802519	−	0.299504i	0.994373	+	0.105938i	$0.0337844\pi$
$984$	21.2678	+	28.8217i	0.677993	+	0.918803i
$985$	−16.7669	+	32.3720i	−0.534236	+	1.03146i
$986$	61.5545	+	35.5385i	1.96030	+	1.13178i
$987$	−3.79421	+	25.1591i	−0.120771	+	0.800824i
$988$	27.2716	+	7.30740i	0.867625	+	0.232479i
$989$	9.74309			0.309812
$990$	3.85514	−	14.8706i	0.122524	−	0.472618i
$991$	2.51953			0.0800355			0.0400177	−	0.999199i	$-0.487259\pi$
$991$	2.51953			0.0800355			0.0400177	+	0.999199i	$0.487259\pi$
$992$	−56.8011	−	15.2198i	−1.80344	−	0.483229i
$993$	28.4901	+	22.7238i	0.904105	+	0.721119i
$994$	−118.643	−	68.4983i	−3.76311	−	2.17263i
$995$	−0.689332	−	2.17063i	−0.0218533	−	0.0688136i
$996$	7.50276	−	17.1927i	0.237734	−	0.544772i
$997$	2.42570	−	9.05283i	0.0768226	−	0.286706i	−0.916818	−	0.399306i	$-0.869251\pi$
$997$	2.42570	−	9.05283i	0.0768226	−	0.286706i	0.993640	+	0.112600i	$0.0359178\pi$
$998$	3.38863	+	3.38863i	0.107265	+	0.107265i
$999$	31.3063	−	10.9460i	0.990486	−	0.346316i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	495.2.bc.d.122.5	yes	116
5.3	odd	4		495.2.bc.c.23.5	✓	116
9.2	odd	6		495.2.bc.c.452.5	yes	116
45.38	even	12	inner	495.2.bc.d.353.5	yes	116

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
495.2.bc.c.23.5	✓	116	5.3	odd	4
495.2.bc.c.452.5	yes	116	9.2	odd	6
495.2.bc.d.122.5	yes	116	1.1	even	1	trivial
495.2.bc.d.353.5	yes	116	45.38	even	12	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:	\( N \)	\(=\)	\( 495 = 3^{2} \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	495.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.21203 - 0.592711i) q^{2} +(1.61237 - 0.632659i) q^{3} +(2.80970 + 1.62218i) q^{4} +(2.13118 - 0.676804i) q^{5} +(-3.94159 + 0.443788i) q^{6} +(1.16130 - 4.33405i) q^{7} +(-2.01502 - 2.01502i) q^{8} +(2.19949 - 2.04016i) q^{9} +O(q^{10})\)	\(q+(-2.21203 - 0.592711i) q^{2} +(1.61237 - 0.632659i) q^{3} +(2.80970 + 1.62218i) q^{4} +(2.13118 - 0.676804i) q^{5} +(-3.94159 + 0.443788i) q^{6} +(1.16130 - 4.33405i) q^{7} +(-2.01502 - 2.01502i) q^{8} +(2.19949 - 2.04016i) q^{9} +(-5.11538 + 0.233934i) q^{10} +(-0.866025 + 0.500000i) q^{11} +(5.55657 + 0.837978i) q^{12} +(-1.20358 - 4.49182i) q^{13} +(-5.13767 + 8.89871i) q^{14} +(3.00807 - 2.43957i) q^{15} +(0.0185874 + 0.0321943i) q^{16} +(-3.94935 + 3.94935i) q^{17} +(-6.07455 + 3.20923i) q^{18} +1.87136i q^{19} +(7.08589 + 1.55555i) q^{20} +(-0.869519 - 7.72281i) q^{21} +(2.21203 - 0.592711i) q^{22} +(1.31621 - 0.352676i) q^{23} +(-4.52378 - 1.97414i) q^{24} +(4.08387 - 2.88478i) q^{25} +10.6494i q^{26} +(2.25566 - 4.68102i) q^{27} +(10.2935 - 10.2935i) q^{28} +(2.77851 + 4.81253i) q^{29} +(-8.09989 + 3.61348i) q^{30} +(-5.23714 + 9.07100i) q^{31} +(1.45306 + 5.42290i) q^{32} +(-1.08003 + 1.35408i) q^{33} +(11.0769 - 6.39524i) q^{34} +(-0.458349 - 10.0226i) q^{35} +(9.48942 - 2.16428i) q^{36} +(4.51314 + 4.51314i) q^{37} +(1.10918 - 4.13950i) q^{38} +(-4.78241 - 6.48104i) q^{39} +(-5.65815 - 2.93060i) q^{40} +(-6.28479 - 3.62853i) q^{41} +(-2.65399 + 17.5984i) q^{42} +(6.90654 + 1.85060i) q^{43} -3.24437 q^{44} +(3.30671 - 5.83658i) q^{45} -3.12052 q^{46} +(-3.16237 - 0.847354i) q^{47} +(0.0503377 + 0.0401497i) q^{48} +(-11.3732 - 6.56630i) q^{49} +(-10.7435 + 3.96066i) q^{50} +(-3.86923 + 8.86641i) q^{51} +(3.90486 - 14.5731i) q^{52} +(-1.67908 - 1.67908i) q^{53} +(-7.76408 + 9.01759i) q^{54} +(-1.50726 + 1.65172i) q^{55} +(-11.0732 + 6.39314i) q^{56} +(1.18393 + 3.01733i) q^{57} +(-3.29371 - 12.2923i) q^{58} +(2.82670 - 4.89599i) q^{59} +(12.4092 - 1.97483i) q^{60} +(-1.51754 - 2.62846i) q^{61} +(16.9612 - 16.9612i) q^{62} +(-6.28789 - 11.9019i) q^{63} -12.9312i q^{64} +(-5.60513 - 8.75831i) q^{65} +(3.19162 - 2.35513i) q^{66} +(1.55630 - 0.417010i) q^{67} +(-17.5031 + 4.68993i) q^{68} +(1.89909 - 1.40135i) q^{69} +(-4.92663 + 22.4420i) q^{70} +13.3326i q^{71} +(-8.54297 - 0.321039i) q^{72} +(3.85216 - 3.85216i) q^{73} +(-7.30820 - 12.6582i) q^{74} +(4.75964 - 7.23504i) q^{75} +(-3.03569 + 5.25797i) q^{76} +(1.16130 + 4.33405i) q^{77} +(6.73744 + 17.1708i) q^{78} +(2.41179 - 1.39245i) q^{79} +(0.0614023 + 0.0560318i) q^{80} +(0.675474 - 8.97462i) q^{81} +(11.7515 + 11.7515i) q^{82} +(0.863980 - 3.22442i) q^{83} +(10.0847 - 23.1093i) q^{84} +(-5.74384 + 11.0897i) q^{85} +(-14.1806 - 8.18716i) q^{86} +(7.52468 + 6.00173i) q^{87} +(2.75257 + 0.737548i) q^{88} +6.05062 q^{89} +(-10.7739 + 10.9507i) q^{90} -20.8655 q^{91} +(4.27025 + 1.14421i) q^{92} +(-2.70537 + 17.9391i) q^{93} +(6.49300 + 3.74874i) q^{94} +(1.26655 + 3.98821i) q^{95} +(5.77373 + 7.82445i) q^{96} +(1.73821 - 6.48710i) q^{97} +(21.2658 + 21.2658i) q^{98} +(-0.884729 + 2.86658i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9	\( 116 q - 2 q^{2} + 6 q^{4} - 2 q^{5} - 2 q^{6} - 10 q^{7} + 2 q^{8} + 16 q^{9} + 6 q^{10} - 8 q^{12} + 12 q^{13} - 10 q^{14} + 20 q^{15} + 62 q^{16} - 8 q^{17} - 54 q^{18} + 6 q^{20} - 10 q^{21} + 2 q^{22} - 14 q^{23} - 62 q^{24} - 12 q^{25} + 30 q^{27} + 18 q^{28} - 2 q^{29} - 18 q^{30} - 2 q^{31} - 48 q^{32} + 4 q^{33} - 24 q^{34} + 2 q^{35} + 24 q^{36} - 14 q^{37} - 6 q^{38} + 4 q^{39} + 98 q^{40} + 6 q^{41} - 44 q^{42} + 26 q^{43} - 120 q^{44} - 18 q^{45} - 44 q^{46} - 2 q^{47} - 20 q^{48} - 18 q^{49} - 20 q^{50} - 8 q^{51} + 102 q^{52} - 44 q^{53} + 28 q^{54} + 2 q^{55} + 42 q^{56} - 48 q^{57} - 16 q^{58} + 22 q^{59} - 8 q^{60} - 10 q^{61} - 16 q^{62} - 26 q^{63} - 108 q^{65} + 6 q^{66} - 36 q^{67} - 72 q^{68} - 76 q^{69} - 134 q^{70} + 30 q^{72} + 12 q^{73} - 8 q^{74} + 20 q^{75} - 6 q^{76} - 10 q^{77} + 210 q^{78} - 6 q^{79} + 4 q^{80} + 44 q^{81} - 50 q^{82} + 24 q^{83} + 222 q^{84} + 54 q^{85} + 90 q^{86} - 32 q^{87} - 4 q^{88} + 8 q^{89} - 74 q^{90} + 72 q^{91} + 18 q^{92} - 98 q^{93} + 42 q^{94} + 54 q^{95} + 68 q^{96} + 18 q^{97} + 16 q^{98} - 4 q^{99}+O(q^{100}) \) 116 * q - 2 * q^2 + 6 * q^4 - 2 * q^5 - 2 * q^6 - 10 * q^7 + 2 * q^8 + 16 * q^9 + 6 * q^10 - 8 * q^12 + 12 * q^13 - 10 * q^14 + 20 * q^15 + 62 * q^16 - 8 * q^17 - 54 * q^18 + 6 * q^20 - 10 * q^21 + 2 * q^22 - 14 * q^23 - 62 * q^24 - 12 * q^25 + 30 * q^27 + 18 * q^28 - 2 * q^29 - 18 * q^30 - 2 * q^31 - 48 * q^32 + 4 * q^33 - 24 * q^34 + 2 * q^35 + 24 * q^36 - 14 * q^37 - 6 * q^38 + 4 * q^39 + 98 * q^40 + 6 * q^41 - 44 * q^42 + 26 * q^43 - 120 * q^44 - 18 * q^45 - 44 * q^46 - 2 * q^47 - 20 * q^48 - 18 * q^49 - 20 * q^50 - 8 * q^51 + 102 * q^52 - 44 * q^53 + 28 * q^54 + 2 * q^55 + 42 * q^56 - 48 * q^57 - 16 * q^58 + 22 * q^59 - 8 * q^60 - 10 * q^61 - 16 * q^62 - 26 * q^63 - 108 * q^65 + 6 * q^66 - 36 * q^67 - 72 * q^68 - 76 * q^69 - 134 * q^70 + 30 * q^72 + 12 * q^73 - 8 * q^74 + 20 * q^75 - 6 * q^76 - 10 * q^77 + 210 * q^78 - 6 * q^79 + 4 * q^80 + 44 * q^81 - 50 * q^82 + 24 * q^83 + 222 * q^84 + 54 * q^85 + 90 * q^86 - 32 * q^87 - 4 * q^88 + 8 * q^89 - 74 * q^90 + 72 * q^91 + 18 * q^92 - 98 * q^93 + 42 * q^94 + 54 * q^95 + 68 * q^96 + 18 * q^97 + 16 * q^98 - 4 * q^99

Introduction

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