LMFDB - Embedded newform 73.2.h.a.24.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [73,2,Mod(3,73)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(73, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("73.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 73 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	73.h (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:	$0.582907934755$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + \cdots + 1 $ x^20 + 28x^18 + 326x^16 + 2044x^14 + 7471x^12 + 16090x^10 + 19590x^8 + 12030x^6 + 2877x^4 + 230*x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			24.2
Root			$-1.96659i$ of defining polynomial
Character	$\chi$	$=$	73.24
Dual form			73.2.h.a.70.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.983297 - 1.70312i) q^{2} +3.07168i q^{3} +(-0.933744 + 1.61729i) q^{4} +(0.710245 + 2.65067i) q^{5} +(5.23144 - 3.02037i) q^{6} +(1.20747 - 1.20747i) q^{7} -0.260597 q^{8} -6.43521 q^{9} +O(q^{10})$	\(q+(-0.983297 - 1.70312i) q^{2} +3.07168i q^{3} +(-0.933744 + 1.61729i) q^{4} +(0.710245 + 2.65067i) q^{5} +(5.23144 - 3.02037i) q^{6} +(1.20747 - 1.20747i) q^{7} -0.260597 q^{8} -6.43521 q^{9} +(3.81603 - 3.81603i) q^{10} +(3.04989 - 0.817217i) q^{11} +(-4.96780 - 2.86816i) q^{12} +(0.961101 - 3.58688i) q^{13} +(-3.24377 - 0.869165i) q^{14} +(-8.14201 + 2.18164i) q^{15} +(2.12373 + 3.67841i) q^{16} +(-2.63414 + 2.63414i) q^{17} +(6.32772 + 10.9599i) q^{18} +(3.56287 - 2.05702i) q^{19} +(-4.95009 - 1.32637i) q^{20} +(3.70896 + 3.70896i) q^{21} +(-4.39077 - 4.39077i) q^{22} +(-4.30852 - 2.48752i) q^{23} -0.800470i q^{24} +(-2.19148 + 1.26525i) q^{25} +(-7.05393 + 1.89009i) q^{26} -10.5519i q^{27} +(0.825364 + 3.08030i) q^{28} +(0.660952 - 2.46670i) q^{29} +(11.7216 + 11.7216i) q^{30} +(2.43442 - 9.08537i) q^{31} +(3.91592 - 6.78257i) q^{32} +(2.51023 + 9.36830i) q^{33} +(7.07639 + 1.89611i) q^{34} +(4.05820 + 2.34301i) q^{35} +(6.00884 - 10.4076i) q^{36} +(-5.10413 + 8.84061i) q^{37} +(-7.00671 - 4.04533i) q^{38} +(11.0177 + 2.95219i) q^{39} +(-0.185088 - 0.690756i) q^{40} +(-0.308160 + 0.533749i) q^{41} +(2.66980 - 9.96381i) q^{42} +(0.0522801 + 0.0522801i) q^{43} +(-1.52614 + 5.69564i) q^{44} +(-4.57058 - 17.0576i) q^{45} +9.78389i q^{46} +(2.65191 - 0.710576i) q^{47} +(-11.2989 + 6.52342i) q^{48} +4.08403i q^{49} +(4.30974 + 2.48823i) q^{50} +(-8.09122 - 8.09122i) q^{51} +(4.90360 + 4.90360i) q^{52} +(3.51852 + 0.942786i) q^{53} +(-17.9711 + 10.3756i) q^{54} +(4.33234 + 7.50384i) q^{55} +(-0.314663 + 0.314663i) q^{56} +(6.31851 + 10.9440i) q^{57} +(-4.85100 + 1.29982i) q^{58} +(-0.533744 - 0.143016i) q^{59} +(4.07420 - 15.2051i) q^{60} +(-7.80657 - 4.50713i) q^{61} +(-17.8672 + 4.78751i) q^{62} +(-7.77033 + 7.77033i) q^{63} -6.90711 q^{64} +10.1902 q^{65} +(13.4870 - 13.4870i) q^{66} +(-2.81536 + 1.62545i) q^{67} +(-1.80056 - 6.71978i) q^{68} +(7.64087 - 13.2344i) q^{69} -9.21548i q^{70} +(1.34018 + 2.32127i) q^{71} +1.67700 q^{72} +(-5.00490 + 6.92466i) q^{73} +20.0755 q^{74} +(-3.88644 - 6.73152i) q^{75} +7.68293i q^{76} +(2.69589 - 4.66942i) q^{77} +(-5.80576 - 21.6674i) q^{78} +(-1.52729 + 0.881781i) q^{79} +(-8.24189 + 8.24189i) q^{80} +13.1063 q^{81} +1.21205 q^{82} +(-0.354007 + 0.354007i) q^{83} +(-9.46169 + 2.53525i) q^{84} +(-8.85311 - 5.11134i) q^{85} +(0.0376324 - 0.140446i) q^{86} +(7.57693 + 2.03023i) q^{87} +(-0.794793 + 0.212964i) q^{88} +(-2.13471 - 3.69743i) q^{89} +(-24.5569 + 24.5569i) q^{90} +(-3.17054 - 5.49155i) q^{91} +(8.04610 - 4.64542i) q^{92} +(27.9074 + 7.47775i) q^{93} +(-3.81781 - 3.81781i) q^{94} +(7.98299 + 7.98299i) q^{95} +(20.8339 + 12.0285i) q^{96} +0.467830i q^{97} +(6.95560 - 4.01581i) q^{98} +(-19.6267 + 5.25897i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) $ 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/73\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{5}{12}\right)$

Coefficient data

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

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

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

$2$	−0.983297	−	1.70312i	−0.695296	−	1.20429i	−0.970081	−	0.242782i	$-0.921940\pi$
$2$	−0.983297	−	1.70312i	−0.695296	−	1.20429i	0.274785	−	0.961506i	$-0.411393\pi$
$3$			3.07168i			1.77343i	0.462312	+	0.886717i	$0.347020\pi$
$3$			3.07168i			1.77343i	−0.462312	+	0.886717i	$0.652980\pi$
$4$	−0.933744	+	1.61729i	−0.466872	+	0.808646i
$5$	0.710245	+	2.65067i	0.317631	+	1.18542i	0.921515	+	0.388343i	$0.126952\pi$
$5$	0.710245	+	2.65067i	0.317631	+	1.18542i	−0.603884	+	0.797072i	$0.706381\pi$
$6$	5.23144	−	3.02037i	2.13573	−	1.23306i
$7$	1.20747	−	1.20747i	0.456381	−	0.456381i	−0.441085	−	0.897465i	$-0.645406\pi$
$7$	1.20747	−	1.20747i	0.456381	−	0.456381i	0.897465	+	0.441085i	$0.145406\pi$
$8$	−0.260597			−0.0921349
$9$	−6.43521			−2.14507
$10$	3.81603	−	3.81603i	1.20673	−	1.20673i
$11$	3.04989	−	0.817217i	0.919578	−	0.246400i	0.232173	−	0.972675i	$-0.425416\pi$
$11$	3.04989	−	0.817217i	0.919578	−	0.246400i	0.687405	+	0.726274i	$0.258750\pi$
$12$	−4.96780	−	2.86816i	−1.43408	−	0.827967i
$13$	0.961101	−	3.58688i	0.266561	−	0.994820i	−0.694726	−	0.719274i	$-0.744475\pi$
$13$	0.961101	−	3.58688i	0.266561	−	0.994820i	0.961288	−	0.275546i	$-0.0888588\pi$
$14$	−3.24377	−	0.869165i	−0.866933	−	0.232294i
$15$	−8.14201	+	2.18164i	−2.10226	+	0.563298i
$16$	2.12373	+	3.67841i	0.530933	+	0.919603i
$17$	−2.63414	+	2.63414i	−0.638872	+	0.638872i	−0.950277	−	0.311405i	$-0.899200\pi$
$17$	−2.63414	+	2.63414i	−0.638872	+	0.638872i	0.311405	+	0.950277i	$0.399200\pi$
$18$	6.32772	+	10.9599i	1.49146	+	2.58328i
$19$	3.56287	−	2.05702i	0.817378	−	0.471913i	−0.0321337	−	0.999484i	$-0.510230\pi$
$19$	3.56287	−	2.05702i	0.817378	−	0.471913i	0.849511	+	0.527570i	$0.176897\pi$
$20$	−4.95009	−	1.32637i	−1.10687	−	0.296586i
$21$	3.70896	+	3.70896i	0.809362	+	0.809362i
$22$	−4.39077	−	4.39077i	−0.936115	−	0.936115i
$23$	−4.30852	−	2.48752i	−0.898388	−	0.518684i	−0.0217109	−	0.999764i	$-0.506911\pi$
$23$	−4.30852	−	2.48752i	−0.898388	−	0.518684i	−0.876677	+	0.481080i	$0.840245\pi$
$24$		−	0.800470i		−	0.163395i
$25$	−2.19148	+	1.26525i	−0.438295	+	0.253050i
$26$	−7.05393	+	1.89009i	−1.38339	+	0.370678i
$27$		−	10.5519i		−	2.03071i
$28$	0.825364	+	3.08030i	0.155979	+	0.582122i
$29$	0.660952	−	2.46670i	0.122736	−	0.458056i	−0.877013	−	0.480466i	$-0.840467\pi$
$29$	0.660952	−	2.46670i	0.122736	−	0.458056i	0.999749	+	0.0224107i	$0.00713413\pi$
$30$	11.7216	+	11.7216i	2.14006	+	2.14006i
$31$	2.43442	−	9.08537i	0.437234	−	1.63178i	−0.298428	−	0.954432i	$-0.596462\pi$
$31$	2.43442	−	9.08537i	0.437234	−	1.63178i	0.735662	−	0.677349i	$-0.236871\pi$
$32$	3.91592	−	6.78257i	0.692243	−	1.19900i
$33$	2.51023	+	9.36830i	0.436975	+	1.63081i
$34$	7.07639	+	1.89611i	1.21359	+	0.325180i
$35$	4.05820	+	2.34301i	0.685962	+	0.396040i
$36$	6.00884	−	10.4076i	1.00147	−	1.73460i
$37$	−5.10413	+	8.84061i	−0.839114	+	1.45339i	0.0515229	+	0.998672i	$0.483592\pi$
$37$	−5.10413	+	8.84061i	−0.839114	+	1.45339i	−0.890637	+	0.454716i	$0.849741\pi$
$38$	−7.00671	−	4.04533i	−1.13664	−	0.656238i
$39$	11.0177	+	2.95219i	1.76425	+	0.472729i
$40$	−0.185088	−	0.690756i	−0.0292649	−	0.109218i
$41$	−0.308160	+	0.533749i	−0.0481266	+	0.0833577i	−0.889085	−	0.457742i	$-0.848658\pi$
$41$	−0.308160	+	0.533749i	−0.0481266	+	0.0833577i	0.840959	+	0.541099i	$0.181992\pi$
$42$	2.66980	−	9.96381i	0.411958	−	1.53745i
$43$	0.0522801	+	0.0522801i	0.00797264	+	0.00797264i	0.711082	−	0.703109i	$-0.248206\pi$
$43$	0.0522801	+	0.0522801i	0.00797264	+	0.00797264i	−0.703109	+	0.711082i	$0.748206\pi$
$44$	−1.52614	+	5.69564i	−0.230075	+	0.858650i
$45$	−4.57058	−	17.0576i	−0.681342	−	2.54280i
$46$			9.78389i			1.44256i
$47$	2.65191	−	0.710576i	0.386820	−	0.103648i	−0.0601674	−	0.998188i	$-0.519163\pi$
$47$	2.65191	−	0.710576i	0.386820	−	0.103648i	0.446988	+	0.894540i	$0.352497\pi$
$48$	−11.2989	+	6.52342i	−1.63086	+	0.941575i
$49$			4.08403i			0.583433i
$50$	4.30974	+	2.48823i	0.609490	+	0.351889i
$51$	−8.09122	−	8.09122i	−1.13300	−	1.13300i
$52$	4.90360	+	4.90360i	0.680008	+	0.680008i
$53$	3.51852	+	0.942786i	0.483306	+	0.129502i	0.492242	−	0.870458i	$-0.336178\pi$
$53$	3.51852	+	0.942786i	0.483306	+	0.129502i	−0.00893533	+	0.999960i	$0.502844\pi$
$54$	−17.9711	+	10.3756i	−2.44556	+	1.41194i
$55$	4.33234	+	7.50384i	0.584173	+	1.01182i
$56$	−0.314663	+	0.314663i	−0.0420486	+	0.0420486i
$57$	6.31851	+	10.9440i	0.836907	+	1.44957i
$58$	−4.85100	+	1.29982i	−0.636968	+	0.170675i
$59$	−0.533744	−	0.143016i	−0.0694876	−	0.0186191i	0.223908	−	0.974610i	$-0.428119\pi$
$59$	−0.533744	−	0.143016i	−0.0694876	−	0.0186191i	−0.293395	+	0.955991i	$0.594785\pi$
$60$	4.07420	−	15.2051i	0.525976	−	1.96297i
$61$	−7.80657	−	4.50713i	−0.999529	−	0.577079i	−0.0914203	−	0.995812i	$-0.529141\pi$
$61$	−7.80657	−	4.50713i	−0.999529	−	0.577079i	−0.908109	+	0.418734i	$0.862474\pi$
$62$	−17.8672	+	4.78751i	−2.26914	+	0.608014i
$63$	−7.77033	+	7.77033i	−0.978969	+	0.978969i
$64$	−6.90711			−0.863389
$65$	10.1902			1.26394
$66$	13.4870	−	13.4870i	1.66014	−	1.66014i
$67$	−2.81536	+	1.62545i	−0.343951	+	0.198580i	−0.662018	−	0.749488i	$-0.730300\pi$
$67$	−2.81536	+	1.62545i	−0.343951	+	0.198580i	0.318067	+	0.948068i	$0.396966\pi$
$68$	−1.80056	−	6.71978i	−0.218350	−	0.814893i
$69$	7.64087	−	13.2344i	0.919853	−	1.59323i
$70$		−	9.21548i		−	1.10146i
$71$	1.34018	+	2.32127i	0.159051	+	0.275484i	0.934527	−	0.355893i	$-0.115823\pi$
$71$	1.34018	+	2.32127i	0.159051	+	0.275484i	−0.775476	+	0.631377i	$0.782490\pi$
$72$	1.67700			0.197636
$73$	−5.00490	+	6.92466i	−0.585779	+	0.810471i
$73$	−5.00490	+	6.92466i	−0.585779	+	0.810471i
$74$	20.0755			2.33373
$75$	−3.88644	−	6.73152i	−0.448768	−	0.777288i
$76$			7.68293i			0.881292i
$77$	2.69589	−	4.66942i	0.307225	−	0.532130i
$78$	−5.80576	−	21.6674i	−0.657373	−	2.45335i
$79$	−1.52729	+	0.881781i	−0.171833	+	0.0992081i	−0.583450	−	0.812149i	$-0.698298\pi$
$79$	−1.52729	+	0.881781i	−0.171833	+	0.0992081i	0.411617	+	0.911357i	$0.364964\pi$
$80$	−8.24189	+	8.24189i	−0.921471	+	0.921471i
$81$	13.1063			1.45626
$82$	1.21205			0.133849
$83$	−0.354007	+	0.354007i	−0.0388574	+	0.0388574i	−0.726268	−	0.687411i	$-0.758747\pi$
$83$	−0.354007	+	0.354007i	−0.0388574	+	0.0388574i	0.687411	+	0.726268i	$0.258747\pi$
$84$	−9.46169	+	2.53525i	−1.03236	+	0.276619i
$85$	−8.85311	−	5.11134i	−0.960254	−	0.554403i
$86$	0.0376324	−	0.140446i	0.00405801	−	0.0151447i
$87$	7.57693	+	2.03023i	0.812332	+	0.217664i
$88$	−0.794793	+	0.212964i	−0.0847252	+	0.0227021i
$89$	−2.13471	−	3.69743i	−0.226279	−	0.391927i	0.730423	−	0.682995i	$-0.239323\pi$
$89$	−2.13471	−	3.69743i	−0.226279	−	0.391927i	−0.956702	+	0.291068i	$0.905990\pi$
$90$	−24.5569	+	24.5569i	−2.58853	+	2.58853i
$91$	−3.17054	−	5.49155i	−0.332363	−	0.575670i
$92$	8.04610	−	4.64542i	0.838864	−	0.484318i
$93$	27.9074	+	7.47775i	2.89386	+	0.775407i
$94$	−3.81781	−	3.81781i	−0.393777	−	0.393777i
$95$	7.98299	+	7.98299i	0.819038	+	0.819038i
$96$	20.8339	+	12.0285i	2.12635	+	1.22765i
$97$			0.467830i			0.0475010i	0.999718	+	0.0237505i	$0.00756073\pi$
$97$			0.467830i			0.0475010i	−0.999718	+	0.0237505i	$0.992439\pi$
$98$	6.95560	−	4.01581i	0.702621	−	0.405659i
$99$	−19.6267	+	5.25897i	−1.97256	+	0.528546i
$100$		−	4.72568i		−	0.472568i
$101$	−0.00373591	−	0.0139426i	−0.000371737	−	0.00138734i	0.965740	−	0.259513i	$-0.0835619\pi$
$101$	−0.00373591	−	0.0139426i	−0.000371737	−	0.00138734i	−0.966111	+	0.258125i	$0.916895\pi$
$102$	−5.82425	+	21.7364i	−0.576686	+	2.15222i
$103$	0.557999	+	0.557999i	0.0549813	+	0.0549813i	0.734063	−	0.679082i	$-0.237622\pi$
$103$	0.557999	+	0.557999i	0.0549813	+	0.0549813i	−0.679082	+	0.734063i	$0.737622\pi$
$104$	−0.250460	+	0.934729i	−0.0245596	+	0.0916577i
$105$	−7.19696	+	12.4655i	−0.702351	+	1.21651i
$106$	−1.85408	−	6.91951i	−0.180084	−	0.672082i
$107$	−16.7715	−	4.49391i	−1.62136	−	0.434442i	−0.669960	−	0.742397i	$-0.733689\pi$
$107$	−16.7715	−	4.49391i	−1.62136	−	0.434442i	−0.951401	+	0.307955i	$0.900356\pi$
$108$	17.0655	+	9.85275i	1.64213	+	0.948082i
$109$	1.44086	−	2.49565i	0.138010	−	0.239039i	−0.788734	−	0.614735i	$-0.789263\pi$
$109$	1.44086	−	2.49565i	0.138010	−	0.239039i	0.926743	+	0.375696i	$0.122596\pi$
$110$	8.51996	−	14.7570i	0.812346	−	1.40702i
$111$	−27.1555	−	15.6782i	−2.57749	−	1.48811i
$112$	7.00591	+	1.87723i	0.661997	+	0.177381i
$113$	−2.33493	−	8.71406i	−0.219651	−	0.819750i	−0.984477	−	0.175513i	$-0.943842\pi$
$113$	−2.33493	−	8.71406i	−0.219651	−	0.819750i	0.764826	−	0.644237i	$-0.222825\pi$
$114$	12.4259	−	21.5224i	1.16380	−	2.01575i
$115$	3.53350	−	13.1872i	0.329501	−	1.22971i
$116$	3.37222	+	3.37222i	0.313103	+	0.313103i
$117$	−6.18489	+	23.0823i	−0.571793	+	2.13396i
$118$	0.281255	+	1.04966i	0.0258916	+	0.0966288i
$119$			6.36128i			0.583138i
$120$	2.12178	−	0.568530i	0.193691	−	0.0518994i
$121$	−0.892266	+	0.515150i	−0.0811151	+	0.0468318i
$122$			17.7274i			1.60496i
$123$	−1.63951	−	0.946570i	−0.147829	−	0.0853493i
$124$	12.4206	+	12.4206i	1.11540	+	1.11540i
$125$	4.79188	+	4.79188i	0.428599	+	0.428599i
$126$	20.8743	+	5.59326i	1.85963	+	0.498287i
$127$	13.8282	−	7.98371i	1.22705	−	0.708439i	0.260641	−	0.965436i	$-0.416066\pi$
$127$	13.8282	−	7.98371i	1.22705	−	0.708439i	0.966412	+	0.256996i	$0.0827328\pi$
$128$	−1.04010	−	1.80151i	−0.0919327	−	0.159232i
$129$	−0.160588	+	0.160588i	−0.0141389	+	0.0141389i
$130$	−10.0200	−	17.3552i	−0.878815	−	1.52215i
$131$	7.33717	−	1.96599i	0.641052	−	0.171769i	0.0763719	−	0.997079i	$-0.475666\pi$
$131$	7.33717	−	1.96599i	0.641052	−	0.171769i	0.564680	+	0.825310i	$0.309000\pi$
$132$	−17.4952	−	4.68782i	−1.52276	−	0.408022i
$133$	1.81826	−	6.78585i	0.157663	−	0.588408i
$134$	5.53667	+	3.19660i	0.478295	+	0.276144i
$135$	27.9695	−	7.49442i	2.40724	−	0.645017i
$136$	0.686448	−	0.686448i	0.0588624	−	0.0588624i
$137$	−20.6323			−1.76274			−0.881370	−	0.472426i	$-0.843378\pi$
$137$	−20.6323			−1.76274			−0.881370	+	0.472426i	$0.843378\pi$
$138$	−30.0530			−2.55828
$139$	−9.31963	+	9.31963i	−0.790481	+	0.790481i	−0.981572	−	0.191091i	$-0.938797\pi$
$139$	−9.31963	+	9.31963i	−0.790481	+	0.790481i	0.191091	+	0.981572i	$0.438797\pi$
$140$	−7.57865	+	4.37553i	−0.640513	+	0.369800i
$141$	2.18266	+	8.14580i	0.183813	+	0.686000i
$142$	2.63560	−	4.56499i	0.221174	−	0.383085i
$143$		−	11.7250i		−	0.980496i
$144$	−13.6667	−	23.6714i	−1.13889	−	1.97261i
$145$	7.00786			0.581971
$146$	16.7148	+	1.71495i	1.38333	+	0.141930i
$147$	−12.5448			−1.03468
$148$	−9.53190	−	16.5097i	−0.783517	−	1.35709i
$149$		−	3.53198i		−	0.289351i	−0.989479	−	0.144675i	$-0.953786\pi$
$149$		−	3.53198i		−	0.289351i	0.989479	−	0.144675i	$-0.0462138\pi$
$150$	−7.64305	+	13.2382i	−0.624052	+	1.08089i
$151$	4.49890	+	16.7901i	0.366115	+	1.36636i	0.865903	+	0.500212i	$0.166745\pi$
$151$	4.49890	+	16.7901i	0.366115	+	1.36636i	−0.499788	+	0.866148i	$0.666589\pi$
$152$	−0.928472	+	0.536054i	−0.0753090	+	0.0434797i
$153$	16.9512	−	16.9512i	1.37043	−	1.37043i
$154$	−10.6034			−0.854450
$155$	25.8114			2.07322
$156$	−15.0623	+	15.0623i	−1.20595	+	1.20595i
$157$	6.88954	−	1.84605i	0.549845	−	0.147331i	0.0268083	−	0.999641i	$-0.491466\pi$
$157$	6.88954	−	1.84605i	0.549845	−	0.147331i	0.523037	+	0.852310i	$0.324799\pi$
$158$	3.00356	+	1.73410i	0.238950	+	0.137958i
$159$	−2.89594	+	10.8078i	−0.229663	+	0.857113i
$160$	20.7596	+	5.56252i	1.64119	+	0.439756i
$161$	−8.20601	+	2.19879i	−0.646724	+	0.173289i
$162$	−12.8874	−	22.3217i	−1.01253	−	1.75376i
$163$	−6.28908	+	6.28908i	−0.492599	+	0.492599i	−0.909124	−	0.416525i	$-0.863248\pi$
$163$	−6.28908	+	6.28908i	−0.492599	+	0.492599i	0.416525	+	0.909124i	$0.363248\pi$
$164$	−0.575486	−	0.996771i	−0.0449379	−	0.0778347i
$165$	−23.0494	+	13.3076i	−1.79439	+	1.03599i
$166$	0.951011	+	0.254823i	0.0738128	+	0.0197781i
$167$	3.66646	+	3.66646i	0.283719	+	0.283719i	0.834590	−	0.550871i	$-0.185704\pi$
$167$	3.66646	+	3.66646i	0.283719	+	0.283719i	−0.550871	+	0.834590i	$0.685704\pi$
$168$	−0.966544	−	0.966544i	−0.0745705	−	0.0745705i
$169$	−0.683635	−	0.394697i	−0.0525873	−	0.0303613i
$170$			20.1039i			1.54190i
$171$	−22.9278	+	13.2374i	−1.75333	+	1.01229i
$172$	−0.133368	+	0.0357359i	−0.0101692	+	0.00272484i
$173$		−	22.7164i		−	1.72709i	−0.504269	−	0.863547i	$-0.668238\pi$
$173$		−	22.7164i		−	1.72709i	0.504269	−	0.863547i	$-0.331762\pi$
$174$	−3.99264	−	14.9007i	−0.302681	−	1.12962i
$175$	−1.11839	+	4.17389i	−0.0845425	+	0.315517i
$176$	9.48322	+	9.48322i	0.714825	+	0.714825i
$177$	0.439300	−	1.63949i	0.0330198	−	0.123232i
$178$	−4.19811	+	7.27135i	−0.314662	+	0.545010i
$179$	−0.293623	−	1.09582i	−0.0219464	−	0.0819052i	0.954084	−	0.299539i	$-0.0968328\pi$
$179$	−0.293623	−	1.09582i	−0.0219464	−	0.0819052i	−0.976031	+	0.217634i	$0.930166\pi$
$180$	31.8549	+	8.53550i	2.37433	+	0.636199i
$181$	8.85024	+	5.10969i	0.657833	+	0.379800i	0.791451	−	0.611233i	$-0.209326\pi$
$181$	8.85024	+	5.10969i	0.657833	+	0.379800i	−0.133618	+	0.991033i	$0.542659\pi$
$182$	−6.23517	+	10.7996i	−0.462182	+	0.800522i
$183$	13.8445	−	23.9793i	1.02341	−	1.77260i
$184$	1.12279	+	0.648241i	0.0827729	+	0.0477889i
$185$	−27.0587	−	7.25036i	−1.98940	−	0.533057i
$186$	−14.7057	−	54.8824i	−1.07827	−	4.02417i
$187$	−5.88118	+	10.1865i	−0.430074	+	0.744910i
$188$	−1.32699	+	4.95240i	−0.0967808	+	0.361191i
$189$	−12.7411	−	12.7411i	−0.926777	−	0.926777i
$190$	5.74634	−	21.4456i	0.416884	−	1.55583i
$191$	5.41072	+	20.1931i	0.391506	+	1.46112i	0.827651	+	0.561243i	$0.189677\pi$
$191$	5.41072	+	20.1931i	0.391506	+	1.46112i	−0.436145	+	0.899876i	$0.643657\pi$
$192$		−	21.2164i		−	1.53116i
$193$	−26.4727	+	7.09333i	−1.90554	+	0.510589i	−0.910205	+	0.414158i	$0.864076\pi$
$193$	−26.4727	+	7.09333i	−1.90554	+	0.510589i	−0.995340	+	0.0964316i	$0.969257\pi$
$194$	0.796771	−	0.460016i	0.0572048	−	0.0330272i
$195$			31.3012i			2.24152i
$196$	−6.60507	−	3.81344i	−0.471791	−	0.272389i
$197$	2.48191	+	2.48191i	0.176829	+	0.176829i	0.789972	−	0.613143i	$-0.210095\pi$
$197$	2.48191	+	2.48191i	0.176829	+	0.176829i	−0.613143	+	0.789972i	$0.710095\pi$
$198$	28.2555	+	28.2555i	2.00803	+	2.00803i
$199$	−0.799489	−	0.214223i	−0.0566743	−	0.0151858i	0.230370	−	0.973103i	$-0.426006\pi$
$199$	−0.799489	−	0.214223i	−0.0566743	−	0.0151858i	−0.287045	+	0.957917i	$0.592673\pi$
$200$	0.571092	−	0.329720i	0.0403823	−	0.0233147i
$201$	−4.99286	−	8.64789i	−0.352169	−	0.609975i
$202$	−0.0200724	+	0.0200724i	−0.00141229	+	0.00141229i
$203$	−2.18039	−	3.77655i	−0.153034	−	0.265062i
$204$	20.6410	−	5.53074i	1.44516	−	0.387229i
$205$	−1.63366	−	0.437739i	−0.114100	−	0.0305730i
$206$	0.401660	−	1.49902i	0.0279850	−	0.104441i
$207$	27.7262	+	16.0077i	1.92711	+	1.11261i
$208$	15.2351	−	4.08224i	1.05637	−	0.283052i
$209$	9.18533	−	9.18533i	0.635363	−	0.635363i
$210$	28.3070			1.95337
$211$	11.7732			0.810502			0.405251	−	0.914206i	$-0.367184\pi$
$211$	11.7732			0.810502			0.405251	+	0.914206i	$0.367184\pi$
$212$	−4.81016	+	4.81016i	−0.330363	+	0.330363i
$213$	−7.13019	+	4.11661i	−0.488552	+	0.282066i
$214$	8.83769	+	32.9827i	0.604132	+	2.25465i
$215$	−0.101446	+	0.175709i	−0.00691853	+	0.0119832i
$216$			2.74979i			0.187099i
$217$	−8.03083	−	13.9098i	−0.545168	−	0.944259i
$218$	−5.66718			−0.383830
$219$	−21.2703	−	15.3735i	−1.43732	−	1.03884i
$220$	−16.1812			−1.09094
$221$	6.91665	+	11.9800i	0.465264	+	0.805861i
$222$			61.6655i			4.13872i
$223$	10.9504	−	18.9667i	0.733295	−	1.27010i	−0.222173	−	0.975007i	$-0.571315\pi$
$223$	10.9504	−	18.9667i	0.733295	−	1.27010i	0.955467	−	0.295096i	$-0.0953518\pi$
$224$	−3.46140	−	12.9181i	−0.231274	−	0.863127i
$225$	14.1026	−	8.14215i	0.940175	−	0.542810i
$226$	−12.5452	+	12.5452i	−0.834492	+	0.834492i
$227$	26.1439			1.73523			0.867617	−	0.497234i	$-0.165651\pi$
$227$	26.1439			1.73523			0.867617	+	0.497234i	$0.165651\pi$
$228$	−23.5995			−1.56291
$229$	2.15958	−	2.15958i	0.142709	−	0.142709i	−0.632143	−	0.774852i	$-0.717824\pi$
$229$	2.15958	−	2.15958i	0.142709	−	0.142709i	0.774852	+	0.632143i	$0.217824\pi$
$230$	−25.9339	+	6.94896i	−1.71003	+	0.458201i
$231$	14.3430	+	8.28091i	0.943698	+	0.544844i
$232$	−0.172242	+	0.642816i	−0.0113082	+	0.0422029i
$233$	13.0039	+	3.48439i	0.851916	+	0.228270i	0.658252	−	0.752798i	$-0.271296\pi$
$233$	13.0039	+	3.48439i	0.851916	+	0.228270i	0.193664	+	0.981068i	$0.437963\pi$
$234$	45.3935	−	12.1632i	2.96747	−	0.795130i
$235$	3.76700	+	6.52464i	0.245732	+	0.425621i
$236$	0.729679	−	0.729679i	0.0474981	−	0.0474981i
$237$	−2.70855	−	4.69134i	−0.175939	−	0.304736i
$238$	10.8340	−	6.25502i	0.702265	−	0.405453i
$239$	−11.7022	−	3.13558i	−0.756950	−	0.202824i	−0.140351	−	0.990102i	$-0.544823\pi$
$239$	−11.7022	−	3.13558i	−0.756950	−	0.202824i	−0.616599	+	0.787278i	$0.711490\pi$
$240$	−25.3164	−	25.3164i	−1.63417	−	1.63417i
$241$	−4.48502	−	4.48502i	−0.288906	−	0.288906i	0.547742	−	0.836648i	$-0.315488\pi$
$241$	−4.48502	−	4.48502i	−0.288906	−	0.288906i	−0.836648	+	0.547742i	$0.815488\pi$
$242$	1.75472	+	1.01309i	0.112798	+	0.0651239i
$243$			8.60285i			0.551873i
$244$	14.5787	−	8.41701i	0.933305	−	0.538844i
$245$	−10.8254	+	2.90066i	−0.691611	+	0.185317i
$246$			3.72304i			0.237372i
$247$	−3.95401	−	14.7566i	−0.251588	−	0.938938i
$248$	−0.634402	+	2.36762i	−0.0402846	+	0.150344i
$249$	−1.08740	−	1.08740i	−0.0689110	−	0.0689110i
$250$	3.44931	−	12.8730i	0.218153	−	0.814159i
$251$	13.0918	−	22.6757i	0.826347	−	1.43128i	−0.0745377	−	0.997218i	$-0.523748\pi$
$251$	13.0918	−	22.6757i	0.826347	−	1.43128i	0.900885	−	0.434058i	$-0.142919\pi$
$252$	−5.31139	−	19.8224i	−0.334586	−	1.24869i
$253$	−15.1734	−	4.06569i	−0.953941	−	0.255608i
$254$	−27.1944	−	15.7007i	−1.70633	−	0.985150i
$255$	15.7004	−	27.1939i	0.983198	−	1.70295i
$256$	−8.95257	+	15.5063i	−0.559535	+	0.969144i
$257$	22.2879	+	12.8679i	1.39028	+	0.802678i	0.993346	−	0.115169i	$-0.0367410\pi$
$257$	22.2879	+	12.8679i	1.39028	+	0.802678i	0.396934	+	0.917847i	$0.370074\pi$
$258$	0.431405	+	0.115595i	0.0268581	+	0.00719661i
$259$	4.51169	+	16.8379i	0.280343	+	1.04625i
$260$	−9.51508	+	16.4806i	−0.590100	+	1.02208i
$261$	−4.25336	+	15.8738i	−0.263277	+	0.982562i
$262$	−10.5629	−	10.5629i	−0.652580	−	0.652580i
$263$	0.714805	−	2.66769i	0.0440768	−	0.164497i	−0.940379	−	0.340127i	$-0.889530\pi$
$263$	0.714805	−	2.66769i	0.0440768	−	0.164497i	0.984456	+	0.175631i	$0.0561964\pi$
$264$	−0.654158	−	2.44135i	−0.0402606	−	0.150255i
$265$			9.99606i			0.614053i
$266$	−13.3450	+	3.57578i	−0.818234	+	0.219245i
$267$	11.3573	−	6.55716i	0.695057	−	0.401292i
$268$		−	6.07101i		−	0.370846i
$269$	−9.37513	−	5.41274i	−0.571612	−	0.330020i	0.186181	−	0.982515i	$-0.440389\pi$
$269$	−9.37513	−	5.41274i	−0.571612	−	0.330020i	−0.757793	+	0.652495i	$0.773722\pi$
$270$	−40.2662	−	40.2662i	−2.45053	−	2.45053i
$271$	−11.2851	−	11.2851i	−0.685521	−	0.685521i	0.275718	−	0.961239i	$-0.411084\pi$
$271$	−11.2851	−	11.2851i	−0.685521	−	0.685521i	−0.961239	+	0.275718i	$0.911084\pi$
$272$	−15.2836	−	4.09524i	−0.926707	−	0.248310i
$273$	16.8683	−	9.73890i	1.02091	−	0.589425i
$274$	20.2877	+	35.1394i	1.22563	+	2.12285i
$275$	−5.64979	+	5.64979i	−0.340695	+	0.340695i
$276$	14.2692	+	24.7150i	0.858907	+	1.48767i
$277$	9.43426	−	2.52790i	0.566850	−	0.151887i	0.0359982	−	0.999352i	$-0.488539\pi$
$277$	9.43426	−	2.52790i	0.566850	−	0.151887i	0.530851	+	0.847465i	$0.321872\pi$
$278$	25.0364	+	6.70849i	1.50158	+	0.402348i
$279$	−15.6660	+	58.4663i	−0.937899	+	3.50029i
$280$	−1.05756	−	0.610580i	−0.0632010	−	0.0364891i
$281$	−7.99078	+	2.14112i	−0.476690	+	0.127729i	−0.489161	−	0.872194i	$-0.662697\pi$
$281$	−7.99078	+	2.14112i	−0.476690	+	0.127729i	0.0124711	+	0.999922i	$0.496030\pi$
$282$	11.7271	−	11.7271i	0.698337	−	0.698337i
$283$	−16.2729			−0.967325			−0.483662	−	0.875255i	$-0.660694\pi$
$283$	−16.2729			−0.967325			−0.483662	+	0.875255i	$0.660694\pi$
$284$	−5.00555			−0.297025
$285$	−24.5212	+	24.5212i	−1.45251	+	1.45251i
$286$	−19.9691	+	11.5292i	−1.18080	+	0.681734i
$287$	0.272392	+	1.01658i	0.0160788	+	0.0600069i
$288$	−25.1998	+	43.6473i	−1.48491	+	2.57194i
$289$			3.12266i			0.183686i
$290$	−6.89080	−	11.9352i	−0.404642	−	0.700860i
$291$	−1.43703			−0.0842399
$292$	−6.52591	−	14.5603i	−0.381900	−	0.852074i
$293$	21.1238			1.23407			0.617033	−	0.786938i	$-0.288335\pi$
$293$	21.1238			1.23407			0.617033	+	0.786938i	$0.288335\pi$
$294$	12.3353	+	21.3654i	0.719409	+	1.24605i
$295$		−	1.51636i		−	0.0882857i
$296$	1.33012	−	2.30384i	0.0773117	−	0.133908i
$297$	−8.62317	−	32.1821i	−0.500367	−	1.86740i
$298$	−6.01538	+	3.47298i	−0.348462	+	0.201184i
$299$	−13.0634	+	13.0634i	−0.755473	+	0.755473i
$300$	14.5158			0.838068
$301$	0.126253			0.00727711
$302$	24.1718	−	24.1718i	1.39093	−	1.39093i
$303$	0.0428273	−	0.0114755i	0.00246036	−	0.000659252i
$304$	15.1331	+	8.73713i	0.867946	+	0.501109i
$305$	6.40233	−	23.8938i	0.366596	−	1.36816i
$306$	−45.5381	−	12.2019i	−2.60324	−	0.697535i
$307$	23.7370	−	6.36030i	1.35474	−	0.363002i	0.492858	−	0.870110i	$-0.335952\pi$
$307$	23.7370	−	6.36030i	1.35474	−	0.363002i	0.861882	+	0.507108i	$0.169286\pi$
$308$	5.03455	+	8.72009i	0.286870	+	0.496873i
$309$	−1.71399	+	1.71399i	−0.0975057	+	0.0975057i
$310$	−25.3802	−	43.9598i	−1.44150	−	2.49675i
$311$	−19.7291	+	11.3906i	−1.11873	+	0.645901i	−0.941077	−	0.338192i	$-0.890185\pi$
$311$	−19.7291	+	11.3906i	−1.11873	+	0.645901i	−0.177656	+	0.984093i	$0.556851\pi$
$312$	−2.87119	−	0.769332i	−0.162549	−	0.0435549i
$313$	18.2649	+	18.2649i	1.03239	+	1.03239i	0.999458	+	0.0329346i	$0.0104853\pi$
$313$	18.2649	+	18.2649i	1.03239	+	1.03239i	0.0329346	+	0.999458i	$0.489515\pi$
$314$	−9.91850	−	9.91850i	−0.559733	−	0.559733i
$315$	−26.1154	−	15.0777i	−1.47144	−	0.849534i
$316$		−	3.29343i		−	0.185270i
$317$	3.09335	−	1.78594i	0.173740	−	0.100309i	−0.410608	−	0.911812i	$-0.634684\pi$
$317$	3.09335	−	1.78594i	0.173740	−	0.100309i	0.584348	+	0.811503i	$0.301350\pi$
$318$	21.2545	−	5.69513i	1.19189	−	0.319367i
$319$		−	8.06333i		−	0.451460i
$320$	−4.90574	−	18.3085i	−0.274239	−	1.02348i
$321$	13.8038	−	51.5166i	0.770455	−	2.87538i
$322$	11.8138	+	11.8138i	0.658355	+	0.658355i
$323$	−3.96660	+	14.8036i	−0.220707	+	0.823692i
$324$	−12.2380	+	21.1968i	−0.679887	+	1.17760i
$325$	2.43206	+	9.07659i	0.134907	+	0.503479i
$326$	16.8951	+	4.52702i	0.935732	+	0.250729i
$327$	7.66582	+	4.42587i	0.423921	+	0.244751i
$328$	0.0803056	−	0.139093i	0.00443414	−	0.00768015i
$329$	2.34410	−	4.06010i	0.129234	−	0.223840i
$330$	45.3288	+	26.1706i	2.49527	+	1.44064i
$331$	4.83287	+	1.29496i	0.265639	+	0.0711776i	0.389180	−	0.921162i	$-0.372758\pi$
$331$	4.83287	+	1.29496i	0.265639	+	0.0711776i	−0.123541	+	0.992339i	$0.539425\pi$
$332$	−0.241981	−	0.903086i	−0.0132804	−	0.0495633i
$333$	32.8462	−	56.8912i	1.79996	−	3.11762i
$334$	2.63920	−	9.84963i	0.144411	−	0.538948i
$335$	−6.30813	−	6.30813i	−0.344650	−	0.344650i
$336$	−5.76625	+	21.5199i	−0.314575	+	1.17401i
$337$	5.77664	+	21.5587i	0.314674	+	1.17438i	0.924293	+	0.381684i	$0.124656\pi$
$337$	5.77664	+	21.5587i	0.314674	+	1.17438i	−0.609619	+	0.792695i	$0.708678\pi$
$338$			1.55242i			0.0844403i
$339$	26.7668	−	7.17214i	1.45377	−	0.389537i
$340$	16.5331	−	9.54537i	0.896632	−	0.517671i
$341$		−	29.6989i		−	1.60828i
$342$	45.0897	+	26.0325i	2.43817	+	1.40768i
$343$	13.3836	+	13.3836i	0.722648	+	0.722648i
$344$	−0.0136240	−	0.0136240i	−0.000734558	−	0.000734558i
$345$	40.5069	+	10.8538i	2.18082	+	0.584348i
$346$	−38.6887	+	22.3369i	−2.07992	+	1.20084i
$347$	−8.52150	−	14.7597i	−0.457458	−	0.792340i	0.541368	−	0.840786i	$-0.317907\pi$
$347$	−8.52150	−	14.7597i	−0.457458	−	0.792340i	−0.998826	+	0.0484455i	$0.984573\pi$
$348$	−10.3584	+	10.3584i	−0.555268	+	0.555268i
$349$	11.9728	+	20.7375i	0.640890	+	1.11005i	0.985234	+	0.171211i	$0.0547680\pi$
$349$	11.9728	+	20.7375i	0.640890	+	1.11005i	−0.344344	+	0.938844i	$0.611899\pi$
$350$	8.20835	−	2.19942i	0.438755	−	0.117564i
$351$	−37.8483	−	10.1414i	−2.02019	−	0.541309i
$352$	6.40031	−	23.8863i	0.341138	−	1.27314i
$353$	−13.2848	−	7.66999i	−0.707079	−	0.408233i	0.102899	−	0.994692i	$-0.467188\pi$
$353$	−13.2848	−	7.66999i	−0.707079	−	0.408233i	−0.809979	+	0.586459i	$0.800521\pi$
$354$	−3.22421	+	0.863925i	−0.171365	+	0.0459171i
$355$	−5.20105	+	5.20105i	−0.276043	+	0.276043i
$356$	7.97311			0.422574
$357$	−19.5398			−1.03416
$358$	−1.57759	+	1.57759i	−0.0833781	+	0.0833781i
$359$	−15.0107	+	8.66644i	−0.792235	+	0.457397i	−0.840749	−	0.541425i	$-0.817885\pi$
$359$	−15.0107	+	8.66644i	−0.792235	+	0.457397i	0.0485138	+	0.998823i	$0.484552\pi$
$360$	1.19108	+	4.44517i	0.0627753	+	0.234281i
$361$	−1.03732	+	1.79669i	−0.0545958	+	0.0945628i
$362$		−	20.0974i		−	1.05629i
$363$	−1.58238	−	2.74075i	−0.0830532	−	0.143852i
$364$	11.8419			0.620685
$365$	−21.9097	−	8.34814i	−1.14681	−	0.436961i
$366$	−54.4528			−2.84629
$367$	−0.786915	−	1.36298i	−0.0410766	−	0.0711468i	0.844756	−	0.535151i	$-0.179745\pi$
$367$	−0.786915	−	1.36298i	−0.0410766	−	0.0711468i	−0.885833	+	0.464005i	$0.846412\pi$
$368$		−	21.1313i		−	1.10155i
$369$	1.98308	−	3.43479i	0.103235	−	0.178808i
$370$	14.2585	+	53.2135i	0.741265	+	2.76644i
$371$	5.38690	−	3.11013i	0.279674	−	0.161470i
$372$	−38.1520	+	38.1520i	−1.97809	+	1.97809i
$373$	−20.7449			−1.07413			−0.537064	−	0.843541i	$-0.680467\pi$
$373$	−20.7449			−1.07413			−0.537064	+	0.843541i	$0.680467\pi$
$374$	23.1318			1.19611
$375$	−14.7191	+	14.7191i	−0.760092	+	0.760092i
$376$	−0.691078	+	0.185174i	−0.0356396	+	0.00954961i
$377$	−8.21252	−	4.74150i	−0.422966	−	0.244200i
$378$	−9.17132	+	34.2278i	−0.471722	+	1.76049i
$379$	−30.7057	−	8.22755i	−1.57724	−	0.422621i	−0.639172	−	0.769064i	$-0.720723\pi$
$379$	−30.7057	−	8.22755i	−1.57724	−	0.422621i	−0.938071	+	0.346443i	$0.887390\pi$
$380$	−20.3649	+	5.45676i	−1.04470	+	0.279926i
$381$	24.5234	+	42.4758i	1.25637	+	2.17610i
$382$	29.0709	−	29.0709i	1.48740	−	1.48740i
$383$	9.11772	+	15.7924i	0.465894	+	0.806952i	0.999241	−	0.0389445i	$-0.0123996\pi$
$383$	9.11772	+	15.7924i	0.465894	+	0.806952i	−0.533348	+	0.845896i	$0.679066\pi$
$384$	5.53365	−	3.19485i	0.282388	−	0.163037i
$385$	14.2918	+	3.82949i	0.728379	+	0.195169i
$386$	38.1113	+	38.1113i	1.93981	+	1.93981i
$387$	−0.336433	−	0.336433i	−0.0171019	−	0.0171019i
$388$	−0.756619	−	0.436834i	−0.0384115	−	0.0221769i
$389$		−	6.60849i		−	0.335064i	−0.985867	−	0.167532i	$-0.946420\pi$
$389$		−	6.60849i		−	0.335064i	0.985867	−	0.167532i	$-0.0535797\pi$
$390$	53.3096	−	30.7783i	2.69944	−	1.55852i
$391$	17.9017	−	4.79674i	0.905327	−	0.242582i
$392$		−	1.06429i		−	0.0537546i
$393$	6.03889	+	22.5374i	0.304622	+	1.13686i
$394$	1.78654	−	6.66746i	0.0900046	−	0.335902i
$395$	−3.42206	−	3.42206i	−0.172183	−	0.172183i
$396$	9.82106	−	36.6527i	0.493527	−	1.84187i
$397$	−14.0162	+	24.2768i	−0.703454	+	1.21842i	0.263792	+	0.964580i	$0.415027\pi$
$397$	−14.0162	+	24.2768i	−0.703454	+	1.21842i	−0.967246	+	0.253839i	$0.918307\pi$
$398$	0.421289	+	1.57227i	0.0211173	+	0.0788108i
$399$	20.8439	+	5.58512i	1.04350	+	0.279606i
$400$	−9.30822	−	5.37410i	−0.465411	−	0.268705i
$401$	−6.17937	+	10.7030i	−0.308583	+	0.534481i	−0.978053	−	0.208358i	$-0.933188\pi$
$401$	−6.17937	+	10.7030i	−0.308583	+	0.534481i	0.669470	+	0.742839i	$0.266521\pi$
$402$	−9.81892	+	17.0069i	−0.489723	+	0.848226i
$403$	−30.2484	−	17.4639i	−1.50678	−	0.869939i
$404$	0.0260377	+	0.00697678i	0.00129542	+	0.000347108i
$405$	9.30871	+	34.7406i	0.462554	+	1.72627i
$406$	−4.28795	+	7.42694i	−0.212807	+	0.368593i
$407$	−8.34236	+	31.1341i	−0.413515	+	1.54326i
$408$	2.10855	+	2.10855i	0.104389	+	0.104389i
$409$	−5.30946	+	19.8152i	−0.262536	+	0.979797i	0.701206	+	0.712959i	$0.252645\pi$
$409$	−5.30946	+	19.8152i	−0.262536	+	0.979797i	−0.963742	+	0.266838i	$0.914021\pi$
$410$	0.860854	+	3.21275i	0.0425145	+	0.158666i
$411$		−	63.3760i		−	3.12611i
$412$	−1.42348	+	0.381419i	−0.0701296	+	0.0187912i
$413$	−0.817168	+	0.471792i	−0.0402102	+	0.0232154i
$414$		−	62.9614i		−	3.09439i
$415$	−1.18979	−	0.686925i	−0.0584044	−	0.0337198i
$416$	−20.5647	−	20.5647i	−1.00827	−	1.00827i
$417$	−28.6269	−	28.6269i	−1.40187	−	1.40187i
$418$	−24.6756	−	6.61182i	−1.20692	−	0.323394i
$419$	−8.05843	+	4.65254i	−0.393680	+	0.227291i	−0.683753	−	0.729713i	$-0.739654\pi$
$419$	−8.05843	+	4.65254i	−0.393680	+	0.227291i	0.290073	+	0.957004i	$0.406320\pi$
$420$	−13.4402	−	23.2792i	−0.655816	−	1.13591i
$421$	18.4905	−	18.4905i	0.901173	−	0.901173i	−0.0943651	−	0.995538i	$-0.530082\pi$
$421$	18.4905	−	18.4905i	0.901173	−	0.901173i	0.995538	+	0.0943651i	$0.0300821\pi$
$422$	−11.5766	−	20.0512i	−0.563538	−	0.976077i
$423$	−17.0656	+	4.57271i	−0.829757	+	0.222333i
$424$	−0.916916	−	0.245687i	−0.0445294	−	0.0119316i
$425$	2.43981	−	9.10549i	0.118348	−	0.441681i
$426$	14.0222	+	8.09571i	0.679377	+	0.392238i
$427$	−14.8684	+	3.98398i	−0.719533	+	0.192798i
$428$	22.9282	−	22.9282i	1.10828	−	1.10828i
$429$	36.0155			1.73884
$430$	0.399004			0.0192417
$431$	8.50072	−	8.50072i	0.409465	−	0.409465i	−0.472087	−	0.881552i	$-0.656499\pi$
$431$	8.50072	−	8.50072i	0.409465	−	0.409465i	0.881552	+	0.472087i	$0.156499\pi$
$432$	38.8142	−	22.4094i	1.86745	−	1.07817i
$433$	−4.43960	−	16.5688i	−0.213354	−	0.796247i	−0.986740	−	0.162311i	$-0.948105\pi$
$433$	−4.43960	−	16.5688i	−0.213354	−	0.796247i	0.773386	−	0.633935i	$-0.218562\pi$
$434$	−15.7934	+	27.3549i	−0.758106	+	1.31308i
$435$			21.5259i			1.03209i
$436$	2.69079	+	4.66059i	0.128866	+	0.223202i
$437$	−20.4676			−0.979096
$438$	−5.26777	+	51.3426i	−0.251704	+	2.45324i
$439$	0.114625			0.00547076			0.00273538	−	0.999996i	$-0.499129\pi$
$439$	0.114625			0.00547076			0.00273538	+	0.999996i	$0.499129\pi$
$440$	−1.12900	−	1.95548i	−0.0538227	−	0.0932237i
$441$		−	26.2816i		−	1.25151i
$442$	13.6022	−	23.5598i	0.646992	−	1.12062i
$443$	10.6388	+	39.7046i	0.505465	+	1.88642i	0.460978	+	0.887412i	$0.347499\pi$
$443$	10.6388	+	39.7046i	0.505465	+	1.88642i	0.0444877	+	0.999010i	$0.485834\pi$
$444$	50.7126	−	29.2789i	2.40671	−	1.38952i
$445$	8.28451	−	8.28451i	0.392723	−	0.392723i
$446$	−43.0701			−2.03943
$447$	10.8491			0.513145
$448$	−8.34013	+	8.34013i	−0.394034	+	0.394034i
$449$	−31.1220	+	8.33910i	−1.46874	+	0.393547i	−0.902498	−	0.430695i	$-0.858269\pi$
$449$	−31.1220	+	8.33910i	−1.46874	+	0.393547i	−0.566239	+	0.824241i	$0.691602\pi$
$450$	−27.7341	−	16.0123i	−1.30740	−	0.754827i
$451$	−0.503668	+	1.87971i	−0.0237168	+	0.0885123i
$452$	16.2734	+	4.36044i	0.765436	+	0.205098i
$453$	−51.5738	+	13.8192i	−2.42315	+	0.649281i
$454$	−25.7072	−	44.5262i	−1.20650	−	2.08972i
$455$	12.3044	−	12.3044i	0.576840	−	0.576840i
$456$	−1.64658	−	2.85197i	−0.0771084	−	0.133556i
$457$	32.3493	−	18.6769i	1.51324	−	0.873667i	0.513356	−	0.858176i	$-0.328402\pi$
$457$	32.3493	−	18.6769i	1.51324	−	0.873667i	0.999880	−	0.0154913i	$-0.00493123\pi$
$458$	−5.80153	−	1.55451i	−0.271088	−	0.0726377i
$459$	27.7951	+	27.7951i	1.29736	+	1.29736i
$460$	18.0282	+	18.0282i	0.840568	+	0.840568i
$461$	11.6169	+	6.70702i	0.541053	+	0.312377i	0.745506	−	0.666499i	$-0.232208\pi$
$461$	11.6169	+	6.70702i	0.541053	+	0.312377i	−0.204452	+	0.978877i	$0.565541\pi$
$462$		−	32.5704i		−	1.51531i
$463$	21.5095	−	12.4185i	0.999632	−	0.577138i	0.0914927	−	0.995806i	$-0.470836\pi$
$463$	21.5095	−	12.4185i	0.999632	−	0.577138i	0.908139	+	0.418668i	$0.137503\pi$
$464$	10.4772	−	2.80737i	0.486394	−	0.130329i
$465$			79.2842i			3.67672i
$466$	−6.85238	−	25.5734i	−0.317430	−	1.18467i
$467$	−5.02092	+	18.7383i	−0.232341	+	0.867107i	0.746989	+	0.664836i	$0.231499\pi$
$467$	−5.02092	+	18.7383i	−0.232341	+	0.867107i	−0.979330	+	0.202270i	$0.935168\pi$
$468$	−31.5557	−	31.5557i	−1.45866	−	1.45866i
$469$	−1.43678	+	5.36214i	−0.0663444	+	0.247601i
$470$	7.40817	−	12.8313i	0.341713	−	0.591865i
$471$	5.67047	+	21.1625i	0.261281	+	0.975115i
$472$	0.139092	+	0.0372696i	0.00640223	+	0.00171547i
$473$	0.202173	+	0.116725i	0.00929592	+	0.00536700i
$474$	−5.32661	+	9.22596i	−0.244659	+	0.423763i
$475$	−5.20529	+	9.01583i	−0.238835	+	0.413675i
$476$	−10.2880	−	5.93981i	−0.471552	−	0.272251i
$477$	−22.6425	−	6.06703i	−1.03673	−	0.277790i
$478$	6.16642	+	23.0134i	0.282045	+	1.05261i
$479$	3.47092	−	6.01180i	0.158590	−	0.274686i	−0.775770	−	0.631015i	$-0.782638\pi$
$479$	3.47092	−	6.01180i	0.158590	−	0.274686i	0.934361	+	0.356329i	$0.115972\pi$
$480$	−17.0863	+	63.7669i	−0.779879	+	2.91055i
$481$	26.8046	+	26.8046i	1.22218	+	1.22218i
$482$	−3.22842	+	12.0486i	−0.147051	+	0.548801i
$483$	−6.75399	−	25.2062i	−0.307317	−	1.14692i
$484$		−	1.92407i		−	0.0874579i
$485$	−1.24006	+	0.332274i	−0.0563084	+	0.0150878i
$486$	14.6517	−	8.45915i	0.664613	−	0.383715i
$487$		−	6.17746i		−	0.279928i	−0.990157	−	0.139964i	$-0.955301\pi$
$487$		−	6.17746i		−	0.279928i	0.990157	−	0.139964i	$-0.0446986\pi$
$488$	2.03437	+	1.17454i	0.0920915	+	0.0531691i
$489$	−19.3180	−	19.3180i	−0.873592	−	0.873592i
$490$	15.5848	+	15.5848i	0.704048	+	0.704048i
$491$	4.54478	+	1.21777i	0.205103	+	0.0549572i	0.359908	−	0.932988i	$-0.382808\pi$
$491$	4.54478	+	1.21777i	0.205103	+	0.0549572i	−0.154805	+	0.987945i	$0.549475\pi$
$492$	3.06176	−	1.76771i	0.138035	−	0.0796944i
$493$	4.75660	+	8.23867i	0.214226	+	0.371051i
$494$	−21.2442	+	21.2442i	−0.955823	+	0.955823i
$495$	−27.8796	−	48.2888i	−1.25309	−	2.17042i
$496$	38.5898	−	10.3401i	1.73273	−	0.464284i
$497$	4.42109	+	1.18463i	0.198313	+	0.0531378i
$498$	−0.782733	+	2.92120i	−0.0350751	+	0.130902i
$499$	−1.82526	−	1.05381i	−0.0817098	−	0.0471752i	0.458588	−	0.888649i	$-0.348355\pi$
$499$	−1.82526	−	1.05381i	−0.0817098	−	0.0471752i	−0.540298	+	0.841474i	$0.681689\pi$
$500$	−12.2243	+	3.27548i	−0.546686	+	0.146484i
$501$	−11.2622	+	11.2622i	−0.503157	+	0.503157i
$502$	−51.4925			−2.29822
$503$	−40.5880			−1.80973			−0.904865	−	0.425698i	$-0.860029\pi$
$503$	−40.5880			−1.80973			−0.904865	+	0.425698i	$0.860029\pi$
$504$	2.02492	−	2.02492i	0.0901973	−	0.0901973i
$505$	0.0343039	−	0.0198054i	0.00152650	−	0.000881327i
$506$	7.99556	+	29.8398i	0.355446	+	1.32654i
$507$	1.21238	−	2.09991i	0.0538438	−	0.0932601i
$508$			29.8190i			1.32300i
$509$	9.24817	+	16.0183i	0.409918	+	0.709999i	0.994880	−	0.101062i	$-0.0322240\pi$
$509$	9.24817	+	16.0183i	0.409918	+	0.709999i	−0.584962	+	0.811061i	$0.698891\pi$
$510$	−61.7526			−2.73445
$511$	2.31805	+	14.4046i	0.102545	+	0.637222i
$512$	31.0517			1.37230
$513$	−21.7054	−	37.5949i	−0.958319	−	1.65986i
$514$		−	50.6119i		−	2.23239i
$515$	−1.08276	+	1.87539i	−0.0477119	+	0.0826394i
$516$	−0.109769	−	0.409665i	−0.00483233	−	0.0180345i
$517$	7.50734	−	4.33436i	0.330172	−	0.190625i
$518$	24.2406	−	24.2406i	1.06507	−	1.06507i
$519$	69.7774			3.06289
$520$	−2.65555			−0.116453
$521$	11.7635	−	11.7635i	0.515367	−	0.515367i	−0.400799	−	0.916166i	$-0.631267\pi$
$521$	11.7635	−	11.7635i	0.515367	−	0.515367i	0.916166	+	0.400799i	$0.131267\pi$
$522$	31.2173	−	8.36464i	1.36634	−	0.366110i
$523$	2.77045	+	1.59952i	0.121143	+	0.0699421i	0.559347	−	0.828934i	$-0.311052\pi$
$523$	2.77045	+	1.59952i	0.121143	+	0.0699421i	−0.438204	+	0.898876i	$0.644385\pi$
$524$	−3.67146	+	13.7021i	−0.160389	+	0.598578i
$525$	−12.8209	−	3.43534i	−0.559548	−	0.149931i
$526$	−5.24626	+	1.40573i	−0.228748	+	0.0612928i
$527$	17.5195	+	30.3447i	0.763162	+	1.32184i
$528$	−29.1294	+	29.1294i	−1.26769	+	1.26769i
$529$	0.875538	+	1.51648i	0.0380669	+	0.0659338i
$530$	17.0245	−	9.82909i	0.739496	−	0.426948i
$531$	3.43476	+	0.920340i	0.149056	+	0.0399394i
$532$	9.27691	+	9.27691i	0.402205	+	0.402205i
$533$	1.61832	+	1.61832i	0.0700972	+	0.0700972i
$534$	−22.3352	−	12.8953i	−0.966541	−	0.558032i
$535$		−	47.6475i		−	2.05998i
$536$	0.733674	−	0.423587i	0.0316899	−	0.0182962i
$537$	3.36600	−	0.901917i	0.145254	−	0.0389206i
$538$			21.2893i			0.917847i
$539$	3.33754	+	12.4559i	0.143758	+	0.536512i
$540$	−13.9957	+	52.2328i	−0.602281	+	2.24774i
$541$	7.32387	+	7.32387i	0.314878	+	0.314878i	0.846796	−	0.531918i	$-0.178529\pi$
$541$	7.32387	+	7.32387i	0.314878	+	0.314878i	−0.531918	+	0.846796i	$0.678529\pi$
$542$	−8.12327	+	30.3165i	−0.348924	+	1.30220i
$543$	−15.6953	+	27.1851i	−0.673551	+	1.16662i
$544$	7.55115	+	28.1813i	0.323753	+	1.20826i
$545$	7.63850	+	2.04673i	0.327197	+	0.0876723i
$546$	−33.1730	−	19.1524i	−1.41967	−	0.819649i
$547$	17.7312	−	30.7114i	0.758133	−	1.31312i	−0.185669	−	0.982612i	$-0.559445\pi$
$547$	17.7312	−	30.7114i	0.758133	−	1.31312i	0.943802	−	0.330512i	$-0.107222\pi$
$548$	19.2653	−	33.3685i	0.822974	−	1.42543i
$549$	50.2370	+	29.0043i	2.14406	+	1.23787i
$550$	15.1777	+	4.06685i	0.647179	+	0.173411i
$551$	−2.71918	−	10.1481i	−0.115841	−	0.432325i
$552$	−1.99119	+	3.44884i	−0.0847506	+	0.146792i
$553$	−0.779432	+	2.90888i	−0.0331448	+	0.123698i
$554$	−13.5820	−	13.5820i	−0.577043	−	0.577043i
$555$	22.2708	−	83.1157i	0.945343	−	3.52807i
$556$	−6.37042	−	23.7747i	−0.270166	−	1.00827i
$557$			12.6746i			0.537040i	0.963274	+	0.268520i	$0.0865345\pi$
$557$			12.6746i			0.537040i	−0.963274	+	0.268520i	$0.913465\pi$
$558$	114.979	−	30.8087i	4.86747	−	1.30423i
$559$	0.237769	−	0.137276i	0.0100565	−	0.00580614i
$560$			19.9037i			0.841083i
$561$	−31.2897	−	18.0651i	−1.32105	−	0.762709i
$562$	11.5039	+	11.5039i	0.485262	+	0.485262i
$563$	2.97300	+	2.97300i	0.125297	+	0.125297i	0.766975	−	0.641678i	$-0.221761\pi$
$563$	2.97300	+	2.97300i	0.125297	+	0.125297i	−0.641678	+	0.766975i	$0.721761\pi$
$564$	−15.2122	−	4.07609i	−0.640549	−	0.171635i
$565$	21.4397	−	12.3782i	0.901976	−	0.520756i
$566$	16.0011	+	27.7147i	0.672577	+	1.16494i
$567$	15.8255	−	15.8255i	0.664609	−	0.664609i
$568$	−0.349248	−	0.604915i	−0.0146541	−	0.0253817i
$569$	−16.8778	+	4.52239i	−0.707554	+	0.189588i	−0.594612	−	0.804013i	$-0.702694\pi$
$569$	−16.8778	+	4.52239i	−0.707554	+	0.189588i	−0.112942	+	0.993602i	$0.536028\pi$
$570$	65.8741	+	17.6509i	2.75916	+	0.739316i
$571$	−3.85979	+	14.4049i	−0.161527	+	0.602828i	0.836930	+	0.547309i	$0.184348\pi$
$571$	−3.85979	+	14.4049i	−0.161527	+	0.602828i	−0.998458	+	0.0555186i	$0.982319\pi$
$572$	18.9628	+	10.9482i	0.792874	+	0.457766i
$573$	−62.0266	+	16.6200i	−2.59120	+	0.694310i
$574$	1.46352	−	1.46352i	0.0610860	−	0.0610860i
$575$	12.5894			0.525012
$576$	44.4488			1.85203
$577$	−27.8539	+	27.8539i	−1.15957	+	1.15957i	−0.175003	+	0.984568i	$0.555994\pi$
$577$	−27.8539	+	27.8539i	−1.15957	+	1.15957i	−0.984568	+	0.175003i	$0.944006\pi$
$578$	5.31826	−	3.07050i	0.221210	−	0.127716i
$579$	−21.7884	−	81.3156i	−0.905497	−	3.37936i
$580$	−6.54355	+	11.3338i	−0.271706	+	0.470609i
$581$			0.854906i			0.0354675i
$582$	1.41302	+	2.44743i	0.0585716	+	0.101449i
$583$	11.5016			0.476347
$584$	1.30426	−	1.80455i	0.0539707	−	0.0746726i
$585$	−65.5764			−2.71125
$586$	−20.7710	−	35.9764i	−0.858040	−	1.48617i
$587$			14.6177i			0.603335i	0.953413	+	0.301668i	$0.0975433\pi$
$587$			14.6177i			0.603335i	−0.953413	+	0.301668i	$0.902457\pi$
$588$	11.7137	−	20.2887i	0.483064	−	0.836691i
$589$	−10.0153	−	37.3776i	−0.412673	−	1.54012i
$590$	−2.58254	+	1.49103i	−0.106321	+	0.0613846i
$591$	−7.62365	+	7.62365i	−0.313595	+	0.313595i
$592$	−43.3592			−1.78205
$593$	43.0206			1.76664			0.883322	−	0.468767i	$-0.155302\pi$
$593$	43.0206			1.76664			0.883322	+	0.468767i	$0.155302\pi$
$594$	−46.3309	+	46.3309i	−1.90098	+	1.90098i
$595$	−16.8617	+	4.51807i	−0.691260	+	0.185223i
$596$	5.71224	+	3.29796i	0.233982	+	0.135090i
$597$	0.658023	−	2.45578i	0.0269311	−	0.100508i
$598$	35.0936	+	9.40330i	1.43508	+	0.384530i
$599$	3.75473	−	1.00608i	0.153414	−	0.0411072i	−0.181295	−	0.983429i	$-0.558029\pi$
$599$	3.75473	−	1.00608i	0.153414	−	0.0411072i	0.334709	+	0.942322i	$0.391362\pi$
$600$	1.01279	+	1.75421i	0.0413472	+	0.0716154i
$601$	14.8733	−	14.8733i	0.606693	−	0.606693i	−0.335388	−	0.942080i	$-0.608867\pi$
$601$	14.8733	−	14.8733i	0.606693	−	0.606693i	0.942080	+	0.335388i	$0.108867\pi$
$602$	−0.124144	−	0.215024i	−0.00505975	−	0.00876374i
$603$	18.1175	−	10.4601i	0.737800	−	0.425969i
$604$	−31.3553	−	8.40164i	−1.27583	−	0.341858i
$605$	−1.99922	−	1.99922i	−0.0812798	−	0.0812798i
$606$	−0.0616561	−	0.0616561i	−0.00250461	−	0.00250461i
$607$	−11.7228	−	6.76815i	−0.475813	−	0.274711i	0.242857	−	0.970062i	$-0.421915\pi$
$607$	−11.7228	−	6.76815i	−0.475813	−	0.274711i	−0.718670	+	0.695351i	$0.755249\pi$
$608$		−	32.2205i		−	1.30672i
$609$	11.6004	−	6.69747i	0.470070	−	0.271395i
$610$	−46.9894	+	12.5908i	−1.90255	+	0.509786i
$611$		−	10.1950i		−	0.412445i
$612$	11.5870	+	43.2432i	0.468376	+	1.74800i
$613$	7.93700	−	29.6213i	0.320573	−	1.19639i	−0.598116	−	0.801410i	$-0.704084\pi$
$613$	7.93700	−	29.6213i	0.320573	−	1.19639i	0.918688	−	0.394983i	$-0.129250\pi$
$614$	−34.1728	−	34.1728i	−1.37910	−	1.37910i
$615$	1.34459	−	5.01809i	0.0542192	−	0.202349i
$616$	−0.702541	+	1.21684i	−0.0283062	+	0.0490277i
$617$	8.91082	+	33.2556i	0.358736	+	1.33882i	0.875717	+	0.482824i	$0.160389\pi$
$617$	8.91082	+	33.2556i	0.358736	+	1.33882i	−0.516981	+	0.855997i	$0.672944\pi$
$618$	4.60450	+	1.23377i	0.185220	+	0.0496296i
$619$	−33.5696	−	19.3814i	−1.34928	−	0.779005i	−0.361129	−	0.932516i	$-0.617608\pi$
$619$	−33.5696	−	19.3814i	−1.34928	−	0.779005i	−0.988147	+	0.153511i	$0.950942\pi$
$620$	−24.1012	+	41.7445i	−0.967928	+	1.67650i
$621$	−26.2480	+	45.4629i	−1.05330	+	1.82436i
$622$	38.7990	+	22.4006i	1.55570	+	0.898184i
$623$	−7.04214	−	1.88694i	−0.282138	−	0.0755985i
$624$	12.5393	+	46.7974i	0.501975	+	1.87340i
$625$	−15.6245	+	27.0625i	−0.624981	+	1.08250i
$626$	13.1475	−	49.0671i	0.525479	−	1.96111i
$627$	28.2144	+	28.2144i	1.12677	+	1.12677i
$628$	−3.44747	+	12.8661i	−0.137569	+	0.513415i
$629$	−9.84240	−	36.7323i	−0.392442	−	1.46461i
$630$			59.3036i			2.36271i
$631$	−34.9403	+	9.36222i	−1.39095	+	0.372704i	−0.875086	−	0.483967i	$-0.839196\pi$
$631$	−34.9403	+	9.36222i	−1.39095	+	0.372704i	−0.515864	+	0.856671i	$0.672529\pi$
$632$	0.398007	−	0.229789i	0.0158319	−	0.00914053i
$633$			36.1635i			1.43737i
$634$	−6.08335	−	3.51223i	−0.241601	−	0.139488i
$635$	30.9836	+	30.9836i	1.22955	+	1.22955i
$636$	−14.7753	−	14.7753i	−0.585878	−	0.585878i
$637$	14.6489	+	3.92517i	0.580411	+	0.155521i
$638$	−13.7328	+	7.92864i	−0.543687	+	0.313898i
$639$	−8.62437	−	14.9378i	−0.341175	−	0.590932i
$640$	4.03647	−	4.03647i	0.159556	−	0.159556i
$641$	−4.81538	−	8.34048i	−0.190196	−	0.329429i	0.755119	−	0.655588i	$-0.227579\pi$
$641$	−4.81538	−	8.34048i	−0.190196	−	0.329429i	−0.945315	+	0.326159i	$0.894246\pi$
$642$	−101.312	+	27.1465i	−3.99848	+	1.07139i
$643$	6.97473	+	1.86887i	0.275057	+	0.0737012i	0.393711	−	0.919234i	$-0.371191\pi$
$643$	6.97473	+	1.86887i	0.275057	+	0.0737012i	−0.118654	+	0.992936i	$0.537858\pi$
$644$	4.10622	−	15.3246i	0.161808	−	0.603875i
$645$	−0.539721	−	0.311608i	−0.0212515	−	0.0122696i
$646$	29.1126	−	7.80069i	1.14542	−	0.306914i
$647$	22.3528	−	22.3528i	0.878778	−	0.878778i	−0.114631	−	0.993408i	$-0.536568\pi$
$647$	22.3528	−	22.3528i	0.878778	−	0.878778i	0.993408	+	0.114631i	$0.0365685\pi$
$648$	−3.41547			−0.134172
$649$	−1.74474			−0.0684870
$650$	13.0671	−	13.0671i	0.512533	−	0.512533i
$651$	42.7265	−	24.6681i	1.67458	−	0.966820i
$652$	−4.29889	−	16.0437i	−0.168357	−	0.628319i
$653$	23.8062	−	41.2336i	0.931609	−	1.61359i	0.151037	−	0.988528i	$-0.451739\pi$
$653$	23.8062	−	41.2336i	0.931609	−	1.61359i	0.780572	−	0.625066i	$-0.214928\pi$
$654$		−	17.4078i		−	0.680697i
$655$	10.4224	+	18.0521i	0.407236	+	0.705353i
$656$	−2.61780			−0.102208
$657$	32.2076	−	44.5617i	1.25654	−	1.73852i
$658$	−9.21977			−0.359424
$659$	0.135792	+	0.235198i	0.00528970	+	0.00916202i	0.868658	−	0.495412i	$-0.164983\pi$
$659$	0.135792	+	0.235198i	0.00528970	+	0.00916202i	−0.863368	+	0.504574i	$0.831650\pi$
$660$		−	49.7035i		−	1.93470i
$661$	−6.42401	+	11.1267i	−0.249865	+	0.432779i	−0.963488	−	0.267751i	$-0.913720\pi$
$661$	−6.42401	+	11.1267i	−0.249865	+	0.432779i	0.713623	+	0.700530i	$0.247053\pi$
$662$	−2.54667	−	9.50429i	−0.0989790	−	0.369395i
$663$	−36.7987	+	21.2457i	−1.42914	+	0.825116i
$664$	0.0922532	−	0.0922532i	0.00358012	−	0.00358012i
$665$	19.2785			0.747586
$666$	−129.190			−5.00601
$667$	−8.98370	+	8.98370i	−0.347850	+	0.347850i
$668$	−9.35327	+	2.50620i	−0.361889	+	0.0969678i
$669$	58.2596	+	33.6362i	2.25245	+	1.30045i
$670$	−4.54073	+	16.9463i	−0.175424	+	0.654691i
$671$	−27.4925	−	7.36660i	−1.06134	−	0.284384i
$672$	39.6803	−	10.6323i	1.53070	−	0.410150i
$673$	−15.7018	−	27.1964i	−0.605261	−	1.04834i	−0.992010	−	0.126158i	$-0.959736\pi$
$673$	−15.7018	−	27.1964i	−0.605261	−	1.04834i	0.386749	−	0.922185i	$-0.373598\pi$
$674$	31.0369	−	31.0369i	1.19550	−	1.19550i
$675$	13.3508	+	23.1242i	0.513871	+	0.890051i
$676$	1.27668	−	0.737091i	0.0491031	−	0.0283497i
$677$	−28.6471	−	7.67596i	−1.10100	−	0.295011i	−0.337826	−	0.941209i	$-0.609692\pi$
$677$	−28.6471	−	7.67596i	−1.10100	−	0.295011i	−0.763170	+	0.646198i	$0.776358\pi$
$678$	−38.5347	−	38.5347i	−1.47992	−	1.47992i
$679$	0.564891	+	0.564891i	0.0216785	+	0.0216785i
$680$	2.30709	+	1.33200i	0.0884729	+	0.0510799i
$681$			80.3058i			3.07732i
$682$	−50.5807	+	29.2028i	−1.93684	+	1.11823i
$683$	41.7821	−	11.1955i	1.59875	−	0.428383i	0.654082	−	0.756423i	$-0.273055\pi$
$683$	41.7821	−	11.1955i	1.59875	−	0.428383i	0.944664	+	0.328041i	$0.106388\pi$
$684$		−	49.4413i		−	1.89044i
$685$	−14.6540	−	54.6895i	−0.559901	−	2.08958i
$686$	9.63385	−	35.9540i	0.367822	−	1.37273i
$687$	6.63354	+	6.63354i	0.253085	+	0.253085i
$688$	−0.0812788	+	0.303336i	−0.00309872	+	0.0115646i
$689$	6.76331	−	11.7144i	0.257662	−	0.446283i
$690$	−21.3450	−	79.6605i	−0.812589	−	3.03262i
$691$	15.9202	+	4.26581i	0.605634	+	0.162279i	0.548589	−	0.836092i	$-0.315165\pi$
$691$	15.9202	+	4.26581i	0.605634	+	0.162279i	0.0570455	+	0.998372i	$0.481832\pi$
$692$	36.7390	+	21.2113i	1.39661	+	0.806332i
$693$	−17.3486	+	30.0487i	−0.659020	+	1.14146i
$694$	−16.7583	+	29.0263i	−0.636137	+	1.10182i
$695$	−31.3225	−	18.0841i	−1.18813	−	0.685967i
$696$	−1.97452	−	0.529072i	−0.0748441	−	0.0200544i
$697$	−0.594232	−	2.21771i	−0.0225082	−	0.0840016i
$698$	23.5457	−	40.7823i	0.891217	−	1.54363i
$699$	−10.7029	+	39.9439i	−0.404822	+	1.51082i
$700$	−5.70611	−	5.70611i	−0.215671	−	0.215671i
$701$	6.69636	−	24.9912i	0.252918	−	0.943903i	−0.716319	−	0.697773i	$-0.754174\pi$
$701$	6.69636	−	24.9912i	0.252918	−	0.943903i	0.969237	−	0.246130i	$-0.0791591\pi$
$702$	19.9440	+	74.4322i	0.752739	+	2.80926i
$703$			41.9972i			1.58396i
$704$	−21.0660	+	5.64461i	−0.793954	+	0.212739i
$705$	−20.0416	+	11.5710i	−0.754811	+	0.435790i
$706$			30.1675i			1.13537i
$707$	−0.0213463	−	0.0123243i	−0.000802810	−	0.000463503i
$708$	2.24134	+	2.24134i	0.0842348	+	0.0842348i
$709$	31.4431	+	31.4431i	1.18087	+	1.18087i	0.979519	+	0.201353i	$0.0645339\pi$
$709$	31.4431	+	31.4431i	1.18087	+	1.18087i	0.201353	+	0.979519i	$0.435466\pi$
$710$	13.9722	+	3.74384i	0.524367	+	0.140504i
$711$	9.82844	−	5.67445i	0.368595	−	0.212808i
$712$	0.556300	+	0.963540i	0.0208482	+	0.0361102i
$713$	−33.0888	+	33.0888i	−1.23919	+	1.23919i
$714$	19.2134	+	33.2786i	0.719045	+	1.24542i
$715$	31.0792	−	8.32764i	1.16229	−	0.311436i
$716$	2.04643	+	0.548338i	0.0764785	+	0.0204924i
$717$	9.63151	−	35.9453i	0.359695	−	1.34240i
$718$	29.5200	+	17.0434i	1.10168	+	0.636052i
$719$	−9.04970	+	2.42486i	−0.337497	+	0.0904320i	−0.423587	−	0.905855i	$-0.639229\pi$
$719$	−9.04970	+	2.42486i	−0.337497	+	0.0904320i	0.0860904	+	0.996287i	$0.472563\pi$
$720$	53.0383	−	53.0383i	1.97662	−	1.97662i
$721$	1.34753			0.0501848
$722$	4.07998			0.151841
$723$	13.7766	−	13.7766i	0.512356	−	0.512356i
$724$	−16.5277	+	9.54228i	−0.614248	+	0.354636i
$725$	1.67254	+	6.24200i	0.0621165	+	0.231822i
$726$	−3.11189	+	5.38995i	−0.115493	+	0.200040i
$727$		−	41.8245i		−	1.55119i	−0.631234	−	0.775593i	$-0.717451\pi$
$727$		−	41.8245i		−	1.55119i	0.631234	−	0.775593i	$-0.282549\pi$
$728$	0.826234	+	1.43108i	0.0306223	+	0.0530393i
$729$	12.8938			0.477550
$730$	7.32586	+	45.5235i	0.271142	+	1.68490i
$731$	−0.275426			−0.0101870
$732$	25.8543	+	44.7810i	0.955604	+	1.65515i
$733$		−	23.1107i		−	0.853614i	−0.904343	−	0.426807i	$-0.859638\pi$
$733$		−	23.1107i		−	0.853614i	0.904343	−	0.426807i	$-0.140362\pi$
$734$	−1.54754	+	2.68042i	−0.0571208	+	0.0989361i
$735$	−8.90991	−	33.2522i	−0.328647	−	1.22653i
$736$	−33.7436	+	19.4819i	−1.24381	+	0.718112i
$737$	−7.25821	+	7.25821i	−0.267360	+	0.267360i
$738$	−7.79982			−0.287115
$739$	−8.96363			−0.329733			−0.164866	−	0.986316i	$-0.552719\pi$
$739$	−8.96363			−0.329733			−0.164866	+	0.986316i	$0.552719\pi$
$740$	36.9919	−	36.9919i	1.35985	−	1.35985i
$741$	45.3274	−	12.1455i	1.66515	−	0.446174i
$742$	−10.5938	−	6.11635i	−0.388912	−	0.224538i
$743$	−6.13561	+	22.8984i	−0.225094	+	0.840061i	0.757273	+	0.653098i	$0.226531\pi$
$743$	−6.13561	+	22.8984i	−0.225094	+	0.840061i	−0.982367	+	0.186963i	$0.940136\pi$
$744$	−7.27257	−	1.94868i	−0.266625	−	0.0714420i
$745$	9.36211	−	2.50857i	0.343001	−	0.0919069i
$746$	20.3984	+	35.3310i	0.746837	+	1.29356i
$747$	2.27811	−	2.27811i	0.0833518	−	0.0833518i
$748$	−10.9830	−	19.0232i	−0.401579	−	0.695556i
$749$	−25.6773	+	14.8248i	−0.938229	+	0.541687i
$750$	39.5417	+	10.5952i	1.44386	+	0.386881i
$751$	−27.7954	−	27.7954i	−1.01427	−	1.01427i	−0.999897	−	0.0143720i	$-0.995425\pi$
$751$	−27.7954	−	27.7954i	−1.01427	−	1.01427i	−0.0143720	−	0.999897i	$-0.504575\pi$
$752$	8.24573	+	8.24573i	0.300691	+	0.300691i
$753$	69.6524	+	40.2138i	2.53827	+	1.46547i
$754$			18.6492i			0.679164i
$755$	−41.3097	+	23.8502i	−1.50342	+	0.867997i
$756$	32.5029	−	8.70914i	1.18212	−	0.316748i
$757$		−	17.8828i		−	0.649962i	−0.945720	−	0.324981i	$-0.894642\pi$
$757$		−	17.8828i		−	0.649962i	0.945720	−	0.324981i	$-0.105358\pi$
$758$	16.1803	+	60.3855i	0.587693	+	2.19330i
$759$	12.4885	−	46.6077i	0.453304	−	1.69175i
$760$	−2.08034	−	2.08034i	−0.0754620	−	0.0754620i
$761$	−4.67339	+	17.4413i	−0.169410	+	0.632247i	0.828026	+	0.560689i	$0.189464\pi$
$761$	−4.67339	+	17.4413i	−0.169410	+	0.632247i	−0.997436	+	0.0715581i	$0.977203\pi$
$762$	48.2275	−	83.5325i	1.74710	−	3.02606i
$763$	−1.27362	−	4.75321i	−0.0461081	−	0.172078i
$764$	−37.7103	−	10.1045i	−1.36431	−	0.365566i
$765$	56.9716	+	32.8926i	2.05981	+	1.18923i
$766$	17.9308	−	31.0571i	0.647868	−	1.12214i
$767$	−1.02596	+	1.77702i	−0.0370454	+	0.0641645i
$768$	−47.6304	−	27.4994i	−1.71871	−	0.992300i
$769$	9.67478	+	2.59235i	0.348882	+	0.0934825i	0.429004	−	0.903302i	$-0.358865\pi$
$769$	9.67478	+	2.59235i	0.348882	+	0.0934825i	−0.0801227	+	0.996785i	$0.525531\pi$
$770$	−7.53104	−	28.1062i	−0.271400	−	1.01288i
$771$	−39.5261	+	68.4612i	−1.42350	+	2.46557i
$772$	13.2467	−	49.4374i	0.476760	−	1.77929i
$773$	17.0288	+	17.0288i	0.612482	+	0.612482i	0.943592	−	0.331110i	$-0.107423\pi$
$773$	17.0288	+	17.0288i	0.612482	+	0.612482i	−0.331110	+	0.943592i	$0.607423\pi$
$774$	−0.242173	+	0.903800i	−0.00870471	+	0.0324864i
$775$	6.16030	+	22.9905i	0.221284	+	0.825844i
$776$		−	0.121915i		−	0.00437650i
$777$	−51.7205	+	13.8585i	−1.85546	+	0.497170i
$778$	−11.2551	+	6.49811i	−0.403513	+	0.232968i
$779$			2.53557i			0.0908463i
$780$	−50.6231	−	29.2273i	−1.81260	−	1.04650i
$781$	5.98440	+	5.98440i	0.214139	+	0.214139i
$782$	−25.7721	−	25.7721i	−0.921608	−	0.921608i
$783$	−26.0284	−	6.97428i	−0.930178	−	0.249240i
$784$	−15.0228	+	8.67339i	−0.536527	+	0.309764i
$785$	9.78652	+	16.9508i	0.349296	+	0.604999i
$786$	32.4459	−	32.4459i	1.15731	−	1.15731i
$787$	−14.4389	−	25.0090i	−0.514692	−	0.891473i	−0.999855	−	0.0170489i	$-0.994573\pi$
$787$	−14.4389	−	25.0090i	−0.514692	−	0.891473i	0.485163	−	0.874424i	$-0.338760\pi$
$788$	−6.33145	+	1.69651i	−0.225549	+	0.0604356i
$789$	8.19429	+	2.19565i	0.291724	+	0.0781673i
$790$	−2.46328	+	9.19308i	−0.0876395	+	0.327075i
$791$	−13.3413	−	7.70261i	−0.474363	−	0.273873i
$792$	5.11466	−	1.37047i	0.181742	−	0.0486975i
$793$	−23.6694	+	23.6694i	−0.840525	+	0.840525i
$794$	55.1284			1.95644
$795$	−30.7047			−1.08898
$796$	1.09298	−	1.09298i	0.0387396	−	0.0387396i
$797$	−6.41323	+	3.70268i	−0.227168	+	0.131156i	−0.609265	−	0.792967i	$-0.708535\pi$
$797$	−6.41323	+	3.70268i	−0.227168	+	0.131156i	0.382097	+	0.924122i	$0.375202\pi$
$798$	−10.9837	−	40.9916i	−0.388817	−	1.45109i
$799$	−5.11373	+	8.85723i	−0.180911	+	0.313346i
$800$			19.8185i			0.700689i
$801$	13.7373	+	23.7938i	0.485385	+	0.840712i
$802$	24.3046			0.858225
$803$	−9.60547	+	25.2096i	−0.338970	+	0.889627i
$804$	18.6482			0.657672
$805$	−11.6566	−	20.1897i	−0.410840	−	0.711595i
$806$			68.6888i			2.41946i
$807$	16.6262	−	28.7974i	0.585270	−	1.01372i
$808$	0.000973568		0.00363340i	3.42500e−5		0.000127823i
$809$	26.0718	−	15.0525i	0.916634	−	0.529219i	0.0340746	−	0.999419i	$-0.489152\pi$
$809$	26.0718	−	15.0525i	0.916634	−	0.529219i	0.882560	+	0.470200i	$0.155818\pi$
$810$	50.0141	−	50.0141i	1.75732	−	1.75732i
$811$	0.578629			0.0203184			0.0101592	−	0.999948i	$-0.496766\pi$
$811$	0.578629			0.0203184			0.0101592	+	0.999948i	$0.496766\pi$
$812$	8.14372			0.285788
$813$	34.6642	−	34.6642i	1.21573	−	1.21573i
$814$	61.2281	−	16.4060i	2.14604	−	0.575031i
$815$	−21.1371	−	12.2035i	−0.740399	−	0.427470i
$816$	12.5793	−	46.9464i	0.440362	−	1.64345i
$817$	0.293808	+	0.0787257i	0.0102790	+	0.00275426i
$818$	38.9684	−	10.4415i	1.36250	−	0.365080i
$819$	20.4031	+	35.3393i	0.712943	+	1.23485i
$820$	2.23337	−	2.23337i	0.0779928	−	0.0779928i
$821$	14.2437	+	24.6708i	0.497109	+	0.861017i	0.999994	−	0.00333541i	$-0.00106169\pi$
$821$	14.2437	+	24.6708i	0.497109	+	0.861017i	−0.502886	+	0.864353i	$0.667728\pi$
$822$	−107.937	+	62.3174i	−3.76473	+	2.17357i
$823$	−28.3322	−	7.59159i	−0.987598	−	0.264626i	−0.271357	−	0.962479i	$-0.587472\pi$
$823$	−28.3322	−	7.59159i	−0.987598	−	0.264626i	−0.716241	+	0.697853i	$0.754139\pi$
$824$	−0.145413	−	0.145413i	−0.00506569	−	0.00506569i
$825$	−17.3543	−	17.3543i	−0.604201	−	0.604201i
$826$	1.60704	+	0.927823i	0.0559159	+	0.0322831i
$827$			39.2699i			1.36555i	0.730629	+	0.682774i	$0.239227\pi$
$827$			39.2699i			1.36555i	−0.730629	+	0.682774i	$0.760773\pi$
$828$	−51.7784	+	29.8943i	−1.79942	+	1.03890i
$829$	−7.28623	+	1.95234i	−0.253061	+	0.0678076i	−0.383119	−	0.923699i	$-0.625150\pi$
$829$	−7.28623	+	1.95234i	−0.253061	+	0.0678076i	0.130058	+	0.991506i	$0.458484\pi$
$830$			2.70180i			0.0937809i
$831$	7.76490	+	28.9790i	0.269361	+	1.00527i
$832$	−6.63843	+	24.7750i	−0.230146	+	0.858917i
$833$	−10.7579	−	10.7579i	−0.372739	−	0.372739i
$834$	−20.6063	+	76.9038i	−0.713539	+	2.66296i
$835$	−7.11449	+	12.3227i	−0.246207	+	0.426443i
$836$	6.27862	+	23.4321i	0.217151	+	0.810417i
$837$	−95.8677	−	25.6877i	−3.31367	−	0.887896i
$838$	15.8476	+	9.14964i	0.547448	+	0.316069i
$839$	−5.20043	+	9.00742i	−0.179539	+	0.310971i	−0.941723	−	0.336390i	$-0.890794\pi$
$839$	−5.20043	+	9.00742i	−0.179539	+	0.310971i	0.762184	+	0.647361i	$0.224127\pi$
$840$	1.87551	−	3.24847i	0.0647111	−	0.112083i
$841$	19.4670	+	11.2393i	0.671275	+	0.387561i
$842$	−49.6732	−	13.3099i	−1.71185	−	0.458689i
$843$	−6.57684	−	24.5451i	−0.226518	−	0.845378i
$844$	−10.9932	+	19.0407i	−0.378401	+	0.655409i
$845$	0.560663	−	2.09242i	0.0192874	−	0.0719815i
$846$	24.5684	+	24.5684i	0.844679	+	0.844679i
$847$	−0.455356	+	1.69941i	−0.0156462	+	0.0583925i
$848$	4.00445	+	14.9448i	0.137513	+	0.513207i
$849$		−	49.9852i		−	1.71549i
$850$	−17.9068	+	4.79811i	−0.614198	+	0.164574i
$851$	43.9824	−	25.3933i	1.50770	−	0.870470i
$852$		−	15.3755i		−	0.526754i
$853$	−19.7286	−	11.3903i	−0.675496	−	0.389998i	0.122660	−	0.992449i	$-0.460858\pi$
$853$	−19.7286	−	11.3903i	−0.675496	−	0.389998i	−0.798156	+	0.602451i	$0.794191\pi$
$854$	21.4053	+	21.4053i	0.732473	+	0.732473i
$855$	−51.3723	−	51.3723i	−1.75689	−	1.75689i
$856$	4.37060	+	1.17110i	0.149384	+	0.0400273i
$857$	−19.9937	+	11.5433i	−0.682971	+	0.394313i	−0.800973	−	0.598700i	$-0.795684\pi$
$857$	−19.9937	+	11.5433i	−0.682971	+	0.394313i	0.118003	+	0.993013i	$0.462351\pi$
$858$	−35.4139	−	61.3387i	−1.20901	−	2.09407i
$859$	4.17358	−	4.17358i	0.142401	−	0.142401i	−0.632313	−	0.774713i	$-0.717894\pi$
$859$	4.17358	−	4.17358i	0.142401	−	0.142401i	0.774713	+	0.632313i	$0.217894\pi$
$860$	−0.189448	−	0.328134i	−0.00646014	−	0.0111893i
$861$	−3.12261	+	0.836701i	−0.106418	+	0.0285147i
$862$	−22.8365	−	6.11902i	−0.777814	−	0.208415i
$863$	9.22796	−	34.4392i	0.314123	−	1.17232i	−0.610680	−	0.791878i	$-0.709104\pi$
$863$	9.22796	−	34.4392i	0.314123	−	1.17232i	0.924803	−	0.380446i	$-0.124230\pi$
$864$	−71.5689	−	41.3203i	−2.43482	−	1.40575i
$865$	60.2136	−	16.1342i	2.04732	−	0.548579i
$866$	−23.8532	+	23.8532i	−0.810566	+	0.810566i
$867$	−9.59180			−0.325754
$868$	29.9950			1.01810
$869$	−3.93747	+	3.93747i	−0.133569	+	0.133569i
$870$	36.6612	−	21.1663i	1.24293	−	0.717606i
$871$	3.12444	+	11.6606i	0.105868	+	0.395103i
$872$	−0.375484	+	0.650357i	−0.0127155	+	0.0220239i
$873$		−	3.01059i		−	0.101893i
$874$	20.1257	+	34.8587i	0.680761	+	1.17911i
$875$	11.5721			0.391208
$876$	44.7244	−	20.0455i	1.51110	−	0.677274i
$877$	−11.0747			−0.373965			−0.186983	−	0.982363i	$-0.559871\pi$
$877$	−11.0747			−0.373965			−0.186983	+	0.982363i	$0.559871\pi$
$878$	−0.112710	−	0.195220i	−0.00380379	−	0.00658836i
$879$			64.8855i			2.18853i
$880$	−18.4015	+	31.8723i	−0.620314	+	1.07441i
$881$	−10.6111	−	39.6011i	−0.357497	−	1.33420i	−0.877313	−	0.479918i	$-0.840666\pi$
$881$	−10.6111	−	39.6011i	−0.357497	−	1.33420i	0.519817	−	0.854278i	$-0.326000\pi$
$882$	−44.7607	+	25.8426i	−1.50717	+	0.870167i
$883$	24.3561	−	24.3561i	0.819647	−	0.819647i	−0.166410	−	0.986057i	$-0.553217\pi$
$883$	24.3561	−	24.3561i	0.819647	−	0.819647i	0.986057	+	0.166410i	$0.0532174\pi$
$884$	−25.8335			−0.868875
$885$	4.65776			0.156569
$886$	57.1605	−	57.1605i	1.92035	−	1.92035i
$887$	−2.56840	+	0.688202i	−0.0862385	+	0.0231075i	−0.301680	−	0.953409i	$-0.597548\pi$
$887$	−2.56840	+	0.688202i	−0.0862385	+	0.0231075i	0.215442	+	0.976517i	$0.430881\pi$
$888$	7.07664	+	4.08570i	0.237477	+	0.137107i
$889$	7.05703	−	26.3372i	0.236685	−	0.883322i
$890$	−22.2556	−	5.96338i	−0.746010	−	0.199893i
$891$	39.9730	−	10.7107i	1.33914	−	0.358823i
$892$	20.4498	+	35.4201i	0.684710	+	1.18595i
$893$	7.98672	−	7.98672i	0.267265	−	0.267265i
$894$	−10.6679	−	18.4773i	−0.356787	−	0.617974i
$895$	2.69610	−	1.55660i	0.0901208	−	0.0520313i
$896$	−3.43115	−	0.919375i	−0.114627	−	0.0307141i
$897$	−40.1264	−	40.1264i	−1.33978	−	1.33978i
$898$	44.8046	+	44.8046i	1.49515	+	1.49515i
$899$	−20.8019	−	12.0100i	−0.693782	−	0.400555i
$900$			30.4108i			1.01369i
$901$	−11.7517	+	6.78485i	−0.391506	+	0.226036i
$902$	3.69663	−	0.990509i	0.123084	−	0.0329804i
$903$			0.387809i			0.0129055i
$904$	0.608474	+	2.27086i	0.0202376	+	0.0755276i
$905$	−7.25826	+	27.0882i	−0.241273	+	0.900442i
$906$	74.2481	+	74.2481i	2.46673	+	2.46673i
$907$	−2.63300	+	9.82650i	−0.0874274	+	0.326284i	−0.995763	−	0.0919590i	$-0.970687\pi$
$907$	−2.63300	+	9.82650i	−0.0874274	+	0.326284i	0.908335	+	0.418243i	$0.137354\pi$
$908$	−24.4117	+	42.2824i	−0.810132	+	1.40319i
$909$	0.0240414	+	0.0897238i	0.000797403	+	0.00297595i
$910$	−33.0548	−	8.85700i	−1.09575	−	0.293607i
$911$	−33.3443	−	19.2513i	−1.10475	−	0.637825i	−0.167282	−	0.985909i	$-0.553499\pi$
$911$	−33.3443	−	19.2513i	−1.10475	−	0.637825i	−0.937463	+	0.348084i	$0.886832\pi$
$912$	−26.8377	+	46.4842i	−0.888684	+	1.53925i
$913$	−0.790384	+	1.36899i	−0.0261579	+	0.0453068i
$914$	−63.6179	−	36.7298i	−2.10429	−	1.21491i
$915$	73.3941	+	19.6659i	2.42634	+	0.650135i
$916$	1.47618	+	5.50917i	0.0487742	+	0.182028i
$917$	6.48554	−	11.2333i	0.214171	−	0.370956i
$918$	20.0075	−	74.6691i	0.660347	−	2.46445i
$919$	−6.37175	−	6.37175i	−0.210185	−	0.210185i	0.594161	−	0.804346i	$-0.297484\pi$
$919$	−6.37175	−	6.37175i	−0.210185	−	0.210185i	−0.804346	+	0.594161i	$0.797484\pi$
$920$	−0.920819	+	3.43654i	−0.0303585	+	0.113300i
$921$	19.5368	+	72.9123i	0.643760	+	2.40254i
$922$		−	26.3800i		−	0.868778i
$923$	9.61414	−	2.57610i	0.316453	−	0.0847934i
$924$	−26.7853	+	15.4645i	−0.881172	+	0.508745i
$925$		−	25.8320i		−	0.849351i
$926$	−42.3005	−	24.4222i	−1.39008	−	0.802563i
$927$	−3.59084	−	3.59084i	−0.117939	−	0.117939i
$928$	−14.1424	−	14.1424i	−0.464246	−	0.464246i
$929$	3.05573	+	0.818779i	0.100255	+	0.0268633i	0.308598	−	0.951193i	$-0.400140\pi$
$929$	3.05573	+	0.818779i	0.100255	+	0.0268633i	−0.208343	+	0.978056i	$0.566807\pi$
$930$	135.031	−	77.9599i	4.42782	−	2.55641i
$931$	8.40094	+	14.5509i	0.275330	+	0.476885i
$932$	−17.7776	+	17.7776i	−0.582325	+	0.582325i
$933$	−34.9882	−	60.6014i	−1.14546	−	1.98400i
$934$	36.8507	−	9.87411i	1.20579	−	0.323091i
$935$	−31.1781	−	8.35415i	−1.01963	−	0.273210i
$936$	1.61176	−	6.01518i	0.0526821	−	0.196612i
$937$	0.798614	+	0.461080i	0.0260896	+	0.0150628i	0.512988	−	0.858396i	$-0.328539\pi$
$937$	0.798614	+	0.461080i	0.0260896	+	0.0150628i	−0.486898	+	0.873459i	$0.661872\pi$
$938$	10.5452	−	2.82557i	0.344312	−	0.0922580i
$939$	−56.1039	+	56.1039i	−1.83088	+	1.83088i
$940$	−14.0697			−0.458902
$941$	27.5645			0.898577			0.449288	−	0.893387i	$-0.351678\pi$
$941$	27.5645			0.898577			0.449288	+	0.893387i	$0.351678\pi$
$942$	30.4665	−	30.4665i	0.992651	−	0.992651i
$943$	2.65543	−	1.53311i	0.0864726	−	0.0499250i
$944$	−0.607457	−	2.26706i	−0.0197710	−	0.0737865i
$945$	24.7231	−	42.8217i	0.804243	−	1.39299i
$946$		−	0.459099i		−	0.0149266i
$947$	−20.3886	−	35.3141i	−0.662541	−	1.14756i	−0.979946	−	0.199265i	$-0.936145\pi$
$947$	−20.3886	−	35.3141i	−0.662541	−	1.14756i	0.317404	−	0.948290i	$-0.397189\pi$
$948$	10.1164			0.328564
$949$	20.0277	+	24.6073i	0.650126	+	0.798785i
$950$	20.4734			0.664244
$951$	5.48585	+	9.50177i	0.177891	+	0.308116i
$952$		−	1.65773i		−	0.0537273i
$953$	−6.53938	+	11.3265i	−0.211831	+	0.366902i	−0.952288	−	0.305202i	$-0.901276\pi$
$953$	−6.53938	+	11.3265i	−0.211831	+	0.366902i	0.740456	+	0.672104i	$0.234609\pi$
$954$	11.9314	+	44.5285i	0.386293	+	1.44166i
$955$	−49.6822	+	28.6841i	−1.60768	+	0.928194i
$956$	15.9980	−	15.9980i	0.517412	−	0.517412i
$957$	24.7680			0.800635
$958$	−13.6518			−0.441068
$959$	−24.9129	+	24.9129i	−0.804481	+	0.804481i
$960$	56.2378	−	15.0689i	1.81507	−	0.486346i
$961$	−49.7708	−	28.7352i	−1.60551	−	0.926942i
$962$	19.2946	−	72.0083i	0.622082	−	2.32164i
$963$	107.928	+	28.9193i	3.47794	+	0.931910i
$964$	11.4415	−	3.06573i	0.368505	−	0.0987405i
$965$	−37.6042	−	65.1323i	−1.21052	−	2.09668i
$966$	−36.2881	+	36.2881i	−1.16755	+	1.16755i
$967$	0.166591	+	0.288543i	0.00535719	+	0.00927893i	0.868692	−	0.495353i	$-0.164961\pi$
$967$	0.166591	+	0.288543i	0.00535719	+	0.00927893i	−0.863334	+	0.504632i	$0.831628\pi$
$968$	0.232522	−	0.134246i	0.00747353	−	0.00431484i
$969$	−45.4718	−	12.1841i	−1.46076	−	0.391410i
$970$	1.78525	+	1.78525i	0.0573210	+	0.0573210i
$971$	−23.4877	−	23.4877i	−0.753756	−	0.753756i	0.221422	−	0.975178i	$-0.428930\pi$
$971$	−23.4877	−	23.4877i	−0.753756	−	0.753756i	−0.975178	+	0.221422i	$0.928930\pi$
$972$	−13.9133	−	8.03286i	−0.446270	−	0.257654i
$973$			22.5064i			0.721521i
$974$	−10.5210	+	6.07428i	−0.337113	+	0.194632i
$975$	−27.8804	+	7.47052i	−0.892886	+	0.239248i
$976$		−	38.2877i		−	1.22556i
$977$	4.32102	+	16.1263i	0.138242	+	0.515924i	0.999964	+	0.00854368i	$0.00271957\pi$
$977$	4.32102	+	16.1263i	0.138242	+	0.515924i	−0.861722	+	0.507381i	$0.830614\pi$
$978$	−13.9056	+	51.8963i	−0.444651	+	1.65946i
$979$	−9.53226	−	9.53226i	−0.304652	−	0.304652i
$980$	5.41695	−	20.2163i	0.173038	−	0.645788i
$981$	−9.27225	+	16.0600i	−0.296040	+	0.512757i
$982$	−2.39486	−	8.93774i	−0.0764231	−	0.285215i
$983$	21.8373	+	5.85128i	0.696501	+	0.186627i	0.589663	−	0.807649i	$-0.299261\pi$
$983$	21.8373	+	5.85128i	0.696501	+	0.186627i	0.106838	+	0.994276i	$0.465927\pi$
$984$	0.427250	+	0.246673i	0.0136202	+	0.00786365i
$985$	−4.81597	+	8.34150i	−0.153450	+	0.265782i
$986$	9.35430	−	16.2021i	0.297901	−	0.515980i
$987$	12.4713	+	7.20032i	0.396966	+	0.229189i
$988$	27.5577	+	7.38407i	0.876728	+	0.234918i
$989$	−0.0952016	−	0.355297i	−0.00302724	−	0.0112978i
$990$	−54.8278	+	94.9645i	−1.74254	+	3.01817i
$991$	−3.06024	+	11.4210i	−0.0972118	+	0.362799i	−0.997346	−	0.0728144i	$-0.976802\pi$
$991$	−3.06024	+	11.4210i	−0.0972118	+	0.362799i	0.900134	+	0.435614i	$0.143469\pi$
$992$	−52.0892	−	52.0892i	−1.65383	−	1.65383i
$993$	−3.97771	+	14.8450i	−0.126229	+	0.471093i
$994$	−2.32968	−	8.69449i	−0.0738930	−	0.275772i
$995$		−	2.27133i		−	0.0720061i
$996$	2.77399	−	0.743288i	0.0878972	−	0.0235520i
$997$	11.9035	−	6.87250i	0.376988	−	0.217654i	−0.299519	−	0.954090i	$-0.596826\pi$
$997$	11.9035	−	6.87250i	0.376988	−	0.217654i	0.676507	+	0.736436i	$0.263493\pi$
$998$			4.14484i			0.131203i
$999$	93.2850	+	53.8581i	2.95141	+	1.70400i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	73.2.h.a.24.2	✓	20
3.2	odd	2		657.2.be.c.316.4		20
73.17	odd	24		5329.2.a.m.1.15		20
73.56	odd	24		5329.2.a.m.1.16		20
73.70	even	12	inner	73.2.h.a.70.2	yes	20
219.143	odd	12		657.2.be.c.289.4		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
73.2.h.a.24.2	✓	20	1.1	even	1	trivial
73.2.h.a.70.2	yes	20	73.70	even	12	inner
657.2.be.c.289.4		20	219.143	odd	12
657.2.be.c.316.4		20	3.2	odd	2
5329.2.a.m.1.15		20	73.17	odd	24
5329.2.a.m.1.16		20	73.56	odd	24

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:	\( N \)	\(=\)	\( 73 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	73.h (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.983297 - 1.70312i) q^{2} +3.07168i q^{3} +(-0.933744 + 1.61729i) q^{4} +(0.710245 + 2.65067i) q^{5} +(5.23144 - 3.02037i) q^{6} +(1.20747 - 1.20747i) q^{7} -0.260597 q^{8} -6.43521 q^{9} +O(q^{10})\)	\(q+(-0.983297 - 1.70312i) q^{2} +3.07168i q^{3} +(-0.933744 + 1.61729i) q^{4} +(0.710245 + 2.65067i) q^{5} +(5.23144 - 3.02037i) q^{6} +(1.20747 - 1.20747i) q^{7} -0.260597 q^{8} -6.43521 q^{9} +(3.81603 - 3.81603i) q^{10} +(3.04989 - 0.817217i) q^{11} +(-4.96780 - 2.86816i) q^{12} +(0.961101 - 3.58688i) q^{13} +(-3.24377 - 0.869165i) q^{14} +(-8.14201 + 2.18164i) q^{15} +(2.12373 + 3.67841i) q^{16} +(-2.63414 + 2.63414i) q^{17} +(6.32772 + 10.9599i) q^{18} +(3.56287 - 2.05702i) q^{19} +(-4.95009 - 1.32637i) q^{20} +(3.70896 + 3.70896i) q^{21} +(-4.39077 - 4.39077i) q^{22} +(-4.30852 - 2.48752i) q^{23} -0.800470i q^{24} +(-2.19148 + 1.26525i) q^{25} +(-7.05393 + 1.89009i) q^{26} -10.5519i q^{27} +(0.825364 + 3.08030i) q^{28} +(0.660952 - 2.46670i) q^{29} +(11.7216 + 11.7216i) q^{30} +(2.43442 - 9.08537i) q^{31} +(3.91592 - 6.78257i) q^{32} +(2.51023 + 9.36830i) q^{33} +(7.07639 + 1.89611i) q^{34} +(4.05820 + 2.34301i) q^{35} +(6.00884 - 10.4076i) q^{36} +(-5.10413 + 8.84061i) q^{37} +(-7.00671 - 4.04533i) q^{38} +(11.0177 + 2.95219i) q^{39} +(-0.185088 - 0.690756i) q^{40} +(-0.308160 + 0.533749i) q^{41} +(2.66980 - 9.96381i) q^{42} +(0.0522801 + 0.0522801i) q^{43} +(-1.52614 + 5.69564i) q^{44} +(-4.57058 - 17.0576i) q^{45} +9.78389i q^{46} +(2.65191 - 0.710576i) q^{47} +(-11.2989 + 6.52342i) q^{48} +4.08403i q^{49} +(4.30974 + 2.48823i) q^{50} +(-8.09122 - 8.09122i) q^{51} +(4.90360 + 4.90360i) q^{52} +(3.51852 + 0.942786i) q^{53} +(-17.9711 + 10.3756i) q^{54} +(4.33234 + 7.50384i) q^{55} +(-0.314663 + 0.314663i) q^{56} +(6.31851 + 10.9440i) q^{57} +(-4.85100 + 1.29982i) q^{58} +(-0.533744 - 0.143016i) q^{59} +(4.07420 - 15.2051i) q^{60} +(-7.80657 - 4.50713i) q^{61} +(-17.8672 + 4.78751i) q^{62} +(-7.77033 + 7.77033i) q^{63} -6.90711 q^{64} +10.1902 q^{65} +(13.4870 - 13.4870i) q^{66} +(-2.81536 + 1.62545i) q^{67} +(-1.80056 - 6.71978i) q^{68} +(7.64087 - 13.2344i) q^{69} -9.21548i q^{70} +(1.34018 + 2.32127i) q^{71} +1.67700 q^{72} +(-5.00490 + 6.92466i) q^{73} +20.0755 q^{74} +(-3.88644 - 6.73152i) q^{75} +7.68293i q^{76} +(2.69589 - 4.66942i) q^{77} +(-5.80576 - 21.6674i) q^{78} +(-1.52729 + 0.881781i) q^{79} +(-8.24189 + 8.24189i) q^{80} +13.1063 q^{81} +1.21205 q^{82} +(-0.354007 + 0.354007i) q^{83} +(-9.46169 + 2.53525i) q^{84} +(-8.85311 - 5.11134i) q^{85} +(0.0376324 - 0.140446i) q^{86} +(7.57693 + 2.03023i) q^{87} +(-0.794793 + 0.212964i) q^{88} +(-2.13471 - 3.69743i) q^{89} +(-24.5569 + 24.5569i) q^{90} +(-3.17054 - 5.49155i) q^{91} +(8.04610 - 4.64542i) q^{92} +(27.9074 + 7.47775i) q^{93} +(-3.81781 - 3.81781i) q^{94} +(7.98299 + 7.98299i) q^{95} +(20.8339 + 12.0285i) q^{96} +0.467830i q^{97} +(6.95560 - 4.01581i) q^{98} +(-19.6267 + 5.25897i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9	\( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) 20 * q - 4 * q^2 - 8 * q^4 - 4 * q^5 + 6 * q^6 - 2 * q^7 + 12 * q^8 - 32 * q^9 - 12 * q^10 - 6 * q^11 + 30 * q^12 - 16 * q^13 - 8 * q^14 + 8 * q^15 - 4 * q^16 + 8 * q^17 + 4 * q^18 - 12 * q^19 + 8 * q^20 + 24 * q^21 + 8 * q^22 - 6 * q^23 - 36 * q^25 - 36 * q^26 - 12 * q^28 - 6 * q^29 + 34 * q^30 + 20 * q^31 - 6 * q^32 + 34 * q^33 + 36 * q^34 + 18 * q^35 + 18 * q^36 - 8 * q^37 - 66 * q^38 + 28 * q^39 - 2 * q^40 + 10 * q^41 - 56 * q^42 + 12 * q^43 + 34 * q^44 - 4 * q^45 - 20 * q^47 - 48 * q^48 + 30 * q^50 - 36 * q^51 + 80 * q^52 + 24 * q^53 + 24 * q^54 + 10 * q^55 + 10 * q^57 + 54 * q^58 - 18 * q^59 + 50 * q^60 + 42 * q^61 - 12 * q^62 - 48 * q^63 - 56 * q^64 - 44 * q^65 - 10 * q^66 - 42 * q^67 - 44 * q^68 + 24 * q^69 + 4 * q^71 - 112 * q^72 - 16 * q^73 - 96 * q^74 - 52 * q^75 + 52 * q^77 - 12 * q^78 + 54 * q^79 - 2 * q^80 + 60 * q^81 + 32 * q^82 - 30 * q^83 - 16 * q^84 + 6 * q^85 + 16 * q^86 + 32 * q^87 + 2 * q^88 - 22 * q^89 - 110 * q^90 - 8 * q^91 - 78 * q^92 + 78 * q^93 + 38 * q^94 + 38 * q^95 + 72 * q^96 + 138 * q^98 - 32 * q^99

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